Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(13,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bc (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 13.8 | ||
Character | \(\chi\) | \(=\) | 288.13 |
Dual form | 288.2.bc.a.133.8 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25694 | − | 0.648153i | −0.888791 | − | 0.458314i | ||||
\(3\) | 1.41818 | − | 0.994373i | 0.818784 | − | 0.574101i | ||||
\(4\) | 1.15979 | + | 1.62938i | 0.579897 | + | 0.814689i | ||||
\(5\) | 0.579315 | − | 4.40033i | 0.259077 | − | 1.96789i | 0.00781313 | − | 0.999969i | \(-0.497513\pi\) |
0.251264 | − | 0.967919i | \(-0.419154\pi\) | |||||||
\(6\) | −2.42707 | + | 0.330671i | −0.990846 | + | 0.134996i | ||||
\(7\) | 1.20832 | + | 0.323768i | 0.456701 | + | 0.122373i | 0.479833 | − | 0.877360i | \(-0.340697\pi\) |
−0.0231321 | + | 0.999732i | \(0.507364\pi\) | |||||||
\(8\) | −0.401705 | − | 2.79976i | −0.142024 | − | 0.989863i | ||||
\(9\) | 1.02245 | − | 2.82039i | 0.340815 | − | 0.940130i | ||||
\(10\) | −3.58025 | + | 5.15547i | −1.13218 | + | 1.63030i | ||||
\(11\) | −2.53108 | + | 3.29857i | −0.763151 | + | 0.994558i | 0.236586 | + | 0.971611i | \(0.423972\pi\) |
−0.999737 | + | 0.0229469i | \(0.992695\pi\) | |||||||
\(12\) | 3.26500 | + | 1.15748i | 0.942525 | + | 0.334135i | ||||
\(13\) | 0.0758711 | − | 0.0582180i | 0.0210429 | − | 0.0161468i | −0.598186 | − | 0.801357i | \(-0.704112\pi\) |
0.619229 | + | 0.785210i | \(0.287445\pi\) | |||||||
\(14\) | −1.30893 | − | 1.19013i | −0.349827 | − | 0.318076i | ||||
\(15\) | −3.55400 | − | 6.81650i | −0.917639 | − | 1.76001i | ||||
\(16\) | −1.30975 | + | 3.77949i | −0.327438 | + | 0.944873i | ||||
\(17\) | 2.57648i | 0.624888i | 0.949936 | + | 0.312444i | \(0.101148\pi\) | ||||
−0.949936 | + | 0.312444i | \(0.898852\pi\) | |||||||
\(18\) | −3.11320 | + | 2.88236i | −0.733788 | + | 0.679379i | ||||
\(19\) | 3.07003 | + | 1.27165i | 0.704312 | + | 0.291736i | 0.705949 | − | 0.708263i | \(-0.250521\pi\) |
−0.00163643 | + | 0.999999i | \(0.500521\pi\) | |||||||
\(20\) | 7.84169 | − | 4.15956i | 1.75346 | − | 0.930106i | ||||
\(21\) | 2.03555 | − | 0.742359i | 0.444194 | − | 0.161996i | ||||
\(22\) | 5.31940 | − | 2.50558i | 1.13410 | − | 0.534191i | ||||
\(23\) | 0.507432 | − | 0.135966i | 0.105807 | − | 0.0283509i | −0.205527 | − | 0.978651i | \(-0.565891\pi\) |
0.311334 | + | 0.950301i | \(0.399224\pi\) | |||||||
\(24\) | −3.35369 | − | 3.57110i | −0.684569 | − | 0.728948i | ||||
\(25\) | −14.1977 | − | 3.80426i | −2.83954 | − | 0.760851i | ||||
\(26\) | −0.133100 | + | 0.0240004i | −0.0261030 | + | 0.00470686i | ||||
\(27\) | −1.35451 | − | 5.01650i | −0.260676 | − | 0.965426i | ||||
\(28\) | 0.873860 | + | 2.34431i | 0.165144 | + | 0.443033i | ||||
\(29\) | 5.45887 | − | 0.718674i | 1.01369 | − | 0.133454i | 0.394662 | − | 0.918826i | \(-0.370862\pi\) |
0.619024 | + | 0.785372i | \(0.287528\pi\) | |||||||
\(30\) | 0.0490279 | + | 10.8715i | 0.00895123 | + | 1.98485i | ||||
\(31\) | −1.95771 | + | 3.39085i | −0.351615 | + | 0.609014i | −0.986533 | − | 0.163565i | \(-0.947701\pi\) |
0.634918 | + | 0.772580i | \(0.281034\pi\) | |||||||
\(32\) | 4.09597 | − | 3.90167i | 0.724072 | − | 0.689725i | ||||
\(33\) | −0.309512 | + | 7.19480i | −0.0538791 | + | 1.25245i | ||||
\(34\) | 1.66995 | − | 3.23848i | 0.286395 | − | 0.555395i | ||||
\(35\) | 2.12468 | − | 5.12943i | 0.359137 | − | 0.867033i | ||||
\(36\) | 5.78131 | − | 1.60512i | 0.963552 | − | 0.267521i | ||||
\(37\) | −0.306228 | + | 0.126844i | −0.0503435 | + | 0.0208530i | −0.407713 | − | 0.913110i | \(-0.633674\pi\) |
0.357370 | + | 0.933963i | \(0.383674\pi\) | |||||||
\(38\) | −3.03462 | − | 3.58823i | −0.492280 | − | 0.582088i | ||||
\(39\) | 0.0497082 | − | 0.158007i | 0.00795969 | − | 0.0253014i | ||||
\(40\) | −12.5526 | + | 0.145697i | −1.98474 | + | 0.0230367i | ||||
\(41\) | −7.79353 | + | 2.08827i | −1.21715 | + | 0.326133i | −0.809562 | − | 0.587035i | \(-0.800295\pi\) |
−0.407584 | + | 0.913168i | \(0.633629\pi\) | |||||||
\(42\) | −3.03973 | − | 0.386250i | −0.469040 | − | 0.0595997i | ||||
\(43\) | 5.68592 | − | 7.41004i | 0.867095 | − | 1.13002i | −0.123384 | − | 0.992359i | \(-0.539375\pi\) |
0.990479 | − | 0.137661i | \(-0.0439586\pi\) | |||||||
\(44\) | −8.31017 | − | 0.298427i | −1.25280 | − | 0.0449895i | ||||
\(45\) | −11.8183 | − | 6.13299i | −1.76177 | − | 0.914253i | ||||
\(46\) | −0.725938 | − | 0.157993i | −0.107034 | − | 0.0232947i | ||||
\(47\) | 5.21248 | − | 3.00942i | 0.760318 | − | 0.438970i | −0.0690921 | − | 0.997610i | \(-0.522010\pi\) |
0.829410 | + | 0.558641i | \(0.188677\pi\) | |||||||
\(48\) | 1.90076 | + | 6.66236i | 0.274352 | + | 0.961629i | ||||
\(49\) | −4.70697 | − | 2.71757i | −0.672425 | − | 0.388224i | ||||
\(50\) | 15.3799 | + | 13.9840i | 2.17504 | + | 1.97764i | ||||
\(51\) | 2.56198 | + | 3.65390i | 0.358749 | + | 0.511648i | ||||
\(52\) | 0.182854 | + | 0.0561019i | 0.0253573 | + | 0.00777993i | ||||
\(53\) | 0.848306 | + | 2.04799i | 0.116524 | + | 0.281313i | 0.971371 | − | 0.237566i | \(-0.0763495\pi\) |
−0.854848 | + | 0.518879i | \(0.826350\pi\) | |||||||
\(54\) | −1.54892 | + | 7.18337i | −0.210782 | + | 0.977533i | ||||
\(55\) | 13.0485 | + | 13.0485i | 1.75946 | + | 1.75946i | ||||
\(56\) | 0.421083 | − | 3.51305i | 0.0562696 | − | 0.469452i | ||||
\(57\) | 5.61833 | − | 1.24933i | 0.744166 | − | 0.165478i | ||||
\(58\) | −7.32728 | − | 2.63485i | −0.962119 | − | 0.345973i | ||||
\(59\) | −1.21081 | + | 9.19702i | −0.157634 | + | 1.19735i | 0.711468 | + | 0.702718i | \(0.248030\pi\) |
−0.869103 | + | 0.494632i | \(0.835303\pi\) | |||||||
\(60\) | 6.98475 | − | 13.6966i | 0.901727 | − | 1.76822i | ||||
\(61\) | 13.4688 | − | 1.77320i | 1.72450 | − | 0.227035i | 0.797822 | − | 0.602893i | \(-0.205986\pi\) |
0.926677 | + | 0.375859i | \(0.122652\pi\) | |||||||
\(62\) | 4.65851 | − | 2.99320i | 0.591631 | − | 0.380137i | ||||
\(63\) | 2.14859 | − | 3.07689i | 0.270697 | − | 0.387652i | ||||
\(64\) | −7.67727 | + | 2.24935i | −0.959658 | + | 0.281169i | ||||
\(65\) | −0.212225 | − | 0.367585i | −0.0263233 | − | 0.0455933i | ||||
\(66\) | 5.05237 | − | 8.84282i | 0.621904 | − | 1.08848i | ||||
\(67\) | 7.53531 | + | 9.82021i | 0.920585 | + | 1.19973i | 0.979495 | + | 0.201467i | \(0.0645708\pi\) |
−0.0589102 | + | 0.998263i | \(0.518763\pi\) | |||||||
\(68\) | −4.19806 | + | 2.98819i | −0.509090 | + | 0.362371i | ||||
\(69\) | 0.584427 | − | 0.697400i | 0.0703567 | − | 0.0839571i | ||||
\(70\) | −5.99526 | + | 5.07027i | −0.716570 | + | 0.606013i | ||||
\(71\) | 1.60783 | − | 1.60783i | 0.190815 | − | 0.190815i | −0.605233 | − | 0.796048i | \(-0.706920\pi\) |
0.796048 | + | 0.605233i | \(0.206920\pi\) | |||||||
\(72\) | −8.30713 | − | 1.72963i | −0.979004 | − | 0.203839i | ||||
\(73\) | 7.47247 | + | 7.47247i | 0.874587 | + | 0.874587i | 0.992968 | − | 0.118381i | \(-0.0377706\pi\) |
−0.118381 | + | 0.992968i | \(0.537771\pi\) | |||||||
\(74\) | 0.467124 | + | 0.0390476i | 0.0543020 | + | 0.00453919i | ||||
\(75\) | −23.9177 | + | 8.72268i | −2.76177 | + | 1.00721i | ||||
\(76\) | 1.48861 | + | 6.47708i | 0.170755 | + | 0.742973i | ||||
\(77\) | −4.12633 | + | 3.16624i | −0.470239 | + | 0.360827i | ||||
\(78\) | −0.164893 | + | 0.166387i | −0.0186705 | + | 0.0188397i | ||||
\(79\) | −1.18365 | + | 0.683378i | −0.133171 | + | 0.0768861i | −0.565105 | − | 0.825019i | \(-0.691164\pi\) |
0.431935 | + | 0.901905i | \(0.357831\pi\) | |||||||
\(80\) | 15.8723 | + | 7.95285i | 1.77457 | + | 0.889156i | ||||
\(81\) | −6.90921 | − | 5.76739i | −0.767690 | − | 0.640822i | ||||
\(82\) | 11.1495 | + | 2.42657i | 1.23126 | + | 0.267970i | ||||
\(83\) | 1.60457 | + | 12.1879i | 0.176124 | + | 1.33779i | 0.819868 | + | 0.572553i | \(0.194047\pi\) |
−0.643744 | + | 0.765241i | \(0.722620\pi\) | |||||||
\(84\) | 3.57041 | + | 2.45570i | 0.389563 | + | 0.267939i | ||||
\(85\) | 11.3374 | + | 1.49259i | 1.22971 | + | 0.161894i | ||||
\(86\) | −11.9497 | + | 5.62862i | −1.28857 | + | 0.606950i | ||||
\(87\) | 7.02701 | − | 6.44736i | 0.753374 | − | 0.691229i | ||||
\(88\) | 10.2520 | + | 5.76137i | 1.09286 | + | 0.614164i | ||||
\(89\) | −1.96743 | + | 1.96743i | −0.208547 | + | 0.208547i | −0.803650 | − | 0.595103i | \(-0.797111\pi\) |
0.595103 | + | 0.803650i | \(0.297111\pi\) | |||||||
\(90\) | 10.8798 | + | 15.3689i | 1.14683 | + | 1.62002i | ||||
\(91\) | 0.110526 | − | 0.0457812i | 0.0115862 | − | 0.00479917i | ||||
\(92\) | 0.810057 | + | 0.669106i | 0.0844543 | + | 0.0697592i | ||||
\(93\) | 0.595394 | + | 6.75551i | 0.0617395 | + | 0.700514i | ||||
\(94\) | −8.50233 | + | 0.404182i | −0.876949 | + | 0.0416882i | ||||
\(95\) | 7.37418 | − | 12.7724i | 0.756575 | − | 1.31043i | ||||
\(96\) | 1.92909 | − | 9.60618i | 0.196886 | − | 0.980426i | ||||
\(97\) | −5.86403 | − | 10.1568i | −0.595402 | − | 1.03127i | −0.993490 | − | 0.113919i | \(-0.963660\pi\) |
0.398088 | − | 0.917347i | \(-0.369674\pi\) | |||||||
\(98\) | 4.15498 | + | 6.46666i | 0.419716 | + | 0.653232i | ||||
\(99\) | 6.71537 | + | 10.5113i | 0.674920 | + | 1.05642i | ||||
\(100\) | −10.2678 | − | 27.5456i | −1.02678 | − | 2.75456i | ||||
\(101\) | −7.48861 | − | 5.74621i | −0.745144 | − | 0.571769i | 0.164885 | − | 0.986313i | \(-0.447275\pi\) |
−0.910030 | + | 0.414543i | \(0.863941\pi\) | |||||||
\(102\) | −0.851968 | − | 6.25329i | −0.0843574 | − | 0.619168i | ||||
\(103\) | 1.44480 | + | 5.39206i | 0.142360 | + | 0.531296i | 0.999859 | + | 0.0168091i | \(0.00535074\pi\) |
−0.857499 | + | 0.514486i | \(0.827983\pi\) | |||||||
\(104\) | −0.193474 | − | 0.189034i | −0.0189717 | − | 0.0185363i | ||||
\(105\) | −2.08740 | − | 9.38717i | −0.203709 | − | 0.916094i | ||||
\(106\) | 0.261143 | − | 3.12403i | 0.0253644 | − | 0.303433i | ||||
\(107\) | −2.57893 | − | 6.22609i | −0.249315 | − | 0.601899i | 0.748831 | − | 0.662760i | \(-0.230615\pi\) |
−0.998146 | + | 0.0608614i | \(0.980615\pi\) | |||||||
\(108\) | 6.60283 | − | 8.02513i | 0.635357 | − | 0.772218i | ||||
\(109\) | −1.85281 | − | 0.767459i | −0.177467 | − | 0.0735093i | 0.292181 | − | 0.956363i | \(-0.405619\pi\) |
−0.469648 | + | 0.882854i | \(0.655619\pi\) | |||||||
\(110\) | −7.94377 | − | 24.8587i | −0.757408 | − | 2.37018i | ||||
\(111\) | −0.308155 | + | 0.484391i | −0.0292487 | + | 0.0459763i | ||||
\(112\) | −2.80627 | + | 4.14277i | −0.265168 | + | 0.391455i | ||||
\(113\) | 0.627382 | + | 0.362219i | 0.0590191 | + | 0.0340747i | 0.529219 | − | 0.848485i | \(-0.322485\pi\) |
−0.470200 | + | 0.882560i | \(0.655818\pi\) | |||||||
\(114\) | −7.87166 | − | 2.07120i | −0.737248 | − | 0.193986i | ||||
\(115\) | −0.304333 | − | 2.31164i | −0.0283792 | − | 0.215561i | ||||
\(116\) | 7.50216 | + | 8.06105i | 0.696558 | + | 0.748450i | ||||
\(117\) | −0.0866233 | − | 0.273511i | −0.00800832 | − | 0.0252861i | ||||
\(118\) | 7.48299 | − | 10.7753i | 0.688865 | − | 0.991948i | ||||
\(119\) | −0.834181 | + | 3.11321i | −0.0764692 | + | 0.285387i | ||||
\(120\) | −17.6569 | + | 12.6886i | −1.61184 | + | 1.15830i | ||||
\(121\) | −1.62719 | − | 6.07276i | −0.147926 | − | 0.552069i | ||||
\(122\) | −18.0787 | − | 6.50102i | −1.63677 | − | 0.588575i | ||||
\(123\) | −8.97608 | + | 10.7112i | −0.809346 | + | 0.965798i | ||||
\(124\) | −7.79552 | + | 0.742842i | −0.700058 | + | 0.0667092i | ||||
\(125\) | −16.4726 | + | 39.7684i | −1.47335 | + | 3.55699i | ||||
\(126\) | −4.69495 | + | 2.47485i | −0.418259 | + | 0.220477i | ||||
\(127\) | −1.41741 | −0.125775 | −0.0628875 | − | 0.998021i | \(-0.520031\pi\) | ||||
−0.0628875 | + | 0.998021i | \(0.520031\pi\) | |||||||
\(128\) | 11.1078 | + | 2.14874i | 0.981799 | + | 0.189924i | ||||
\(129\) | 0.695298 | − | 16.1627i | 0.0612176 | − | 1.42304i | ||||
\(130\) | 0.0285030 | + | 0.599586i | 0.00249988 | + | 0.0525872i | ||||
\(131\) | −11.3164 | − | 14.7478i | −0.988715 | − | 1.28852i | −0.957326 | − | 0.289011i | \(-0.906674\pi\) |
−0.0313888 | − | 0.999507i | \(-0.509993\pi\) | |||||||
\(132\) | −12.0820 | + | 7.84018i | −1.05161 | + | 0.682400i | ||||
\(133\) | 3.29785 | + | 2.53053i | 0.285960 | + | 0.219425i | ||||
\(134\) | −3.10643 | − | 17.2275i | −0.268355 | − | 1.48823i | ||||
\(135\) | −22.8590 | + | 3.05417i | −1.96739 | + | 0.262861i | ||||
\(136\) | 7.21351 | − | 1.03499i | 0.618554 | − | 0.0887492i | ||||
\(137\) | −0.952444 | + | 3.55457i | −0.0813728 | + | 0.303687i | −0.994603 | − | 0.103757i | \(-0.966913\pi\) |
0.913230 | + | 0.407445i | \(0.133580\pi\) | |||||||
\(138\) | −1.18661 | + | 0.497792i | −0.101011 | + | 0.0423749i | ||||
\(139\) | 3.82054 | + | 0.502983i | 0.324054 | + | 0.0426625i | 0.290798 | − | 0.956784i | \(-0.406079\pi\) |
0.0332554 | + | 0.999447i | \(0.489413\pi\) | |||||||
\(140\) | 10.8220 | − | 2.48718i | 0.914625 | − | 0.210205i | ||||
\(141\) | 4.39972 | − | 9.45104i | 0.370523 | − | 0.795921i | ||||
\(142\) | −3.06307 | + | 0.978828i | −0.257047 | + | 0.0821414i | ||||
\(143\) | 0.397621i | 0.0332507i | ||||||||
\(144\) | 9.32049 | + | 7.55834i | 0.776708 | + | 0.629861i | ||||
\(145\) | − | 24.4372i | − | 2.02940i | ||||||
\(146\) | −4.54914 | − | 14.2358i | −0.376490 | − | 1.17816i | ||||
\(147\) | −9.37759 | + | 0.826490i | −0.773451 | + | 0.0681677i | ||||
\(148\) | −0.561837 | − | 0.351848i | −0.0461827 | − | 0.0289217i | ||||
\(149\) | 1.75281 | + | 0.230762i | 0.143596 | + | 0.0189047i | 0.201981 | − | 0.979389i | \(-0.435262\pi\) |
−0.0583857 | + | 0.998294i | \(0.518595\pi\) | |||||||
\(150\) | 35.7167 | + | 4.53842i | 2.91626 | + | 0.370561i | ||||
\(151\) | 2.38241 | − | 8.89127i | 0.193878 | − | 0.723561i | −0.798677 | − | 0.601760i | \(-0.794466\pi\) |
0.992555 | − | 0.121801i | \(-0.0388670\pi\) | |||||||
\(152\) | 2.32705 | − | 9.10615i | 0.188749 | − | 0.738606i | ||||
\(153\) | 7.26668 | + | 2.63431i | 0.587476 | + | 0.212971i | ||||
\(154\) | 7.23875 | − | 1.30528i | 0.583315 | − | 0.105183i | ||||
\(155\) | 13.7867 | + | 10.5789i | 1.10738 | + | 0.849720i | ||||
\(156\) | 0.315105 | − | 0.102263i | 0.0252286 | − | 0.00818757i | ||||
\(157\) | −3.27719 | − | 4.27092i | −0.261548 | − | 0.340856i | 0.644057 | − | 0.764977i | \(-0.277250\pi\) |
−0.905606 | + | 0.424121i | \(0.860583\pi\) | |||||||
\(158\) | 1.93071 | − | 0.0917815i | 0.153599 | − | 0.00730174i | ||||
\(159\) | 3.23951 | + | 2.06088i | 0.256910 | + | 0.163438i | ||||
\(160\) | −14.7958 | − | 20.2839i | −1.16971 | − | 1.60358i | ||||
\(161\) | 0.657161 | 0.0517915 | ||||||||
\(162\) | 4.94630 | + | 11.7275i | 0.388618 | + | 0.921399i | ||||
\(163\) | −4.49655 | + | 10.8556i | −0.352197 | + | 0.850279i | 0.644151 | + | 0.764898i | \(0.277211\pi\) |
−0.996348 | + | 0.0853808i | \(0.972789\pi\) | |||||||
\(164\) | −12.4415 | − | 10.2767i | −0.971517 | − | 0.802472i | ||||
\(165\) | 31.4802 | + | 5.53001i | 2.45073 | + | 0.430510i | ||||
\(166\) | 5.88278 | − | 16.3594i | 0.456592 | − | 1.26974i | ||||
\(167\) | 1.61893 | + | 6.04195i | 0.125277 | + | 0.467540i | 0.999849 | − | 0.0173550i | \(-0.00552455\pi\) |
−0.874572 | + | 0.484895i | \(0.838858\pi\) | |||||||
\(168\) | −2.89611 | − | 5.40084i | −0.223440 | − | 0.416684i | ||||
\(169\) | −3.36228 | + | 12.5482i | −0.258637 | + | 0.965246i | ||||
\(170\) | −13.2830 | − | 9.22444i | −1.01876 | − | 0.707483i | ||||
\(171\) | 6.72548 | − | 7.35848i | 0.514310 | − | 0.562717i | ||||
\(172\) | 18.6683 | + | 0.670397i | 1.42344 | + | 0.0511173i | ||||
\(173\) | 0.755257 | + | 5.73675i | 0.0574212 | + | 0.436157i | 0.995874 | + | 0.0907490i | \(0.0289261\pi\) |
−0.938453 | + | 0.345408i | \(0.887741\pi\) | |||||||
\(174\) | −13.0114 | + | 3.54936i | −0.986392 | + | 0.269076i | ||||
\(175\) | −15.9236 | − | 9.19350i | −1.20371 | − | 0.694963i | ||||
\(176\) | −9.15184 | − | 13.8865i | −0.689846 | − | 1.04674i | ||||
\(177\) | 7.42812 | + | 14.2470i | 0.558332 | + | 1.07087i | ||||
\(178\) | 3.74814 | − | 1.19774i | 0.280935 | − | 0.0897748i | ||||
\(179\) | 11.1115 | + | 4.60252i | 0.830510 | + | 0.344009i | 0.757105 | − | 0.653294i | \(-0.226613\pi\) |
0.0734055 | + | 0.997302i | \(0.476613\pi\) | |||||||
\(180\) | −3.71388 | − | 26.3696i | −0.276816 | − | 1.96547i | ||||
\(181\) | −6.51362 | − | 15.7253i | −0.484153 | − | 1.16885i | −0.957619 | − | 0.288037i | \(-0.906997\pi\) |
0.473466 | − | 0.880812i | \(-0.343003\pi\) | |||||||
\(182\) | −0.168597 | − | 0.0140933i | −0.0124972 | − | 0.00104466i | ||||
\(183\) | 17.3379 | − | 15.9077i | 1.28165 | − | 1.17593i | ||||
\(184\) | −0.584510 | − | 1.36607i | −0.0430906 | − | 0.100708i | ||||
\(185\) | 0.380752 | + | 1.42098i | 0.0279934 | + | 0.104473i | ||||
\(186\) | 3.63023 | − | 8.87718i | 0.266181 | − | 0.650906i | ||||
\(187\) | −8.49871 | − | 6.52129i | −0.621487 | − | 0.476884i | ||||
\(188\) | 10.9489 | + | 5.00278i | 0.798530 | + | 0.364865i | ||||
\(189\) | −0.0124987 | − | 6.50008i | −0.000909146 | − | 0.472811i | ||||
\(190\) | −17.5474 | + | 11.2746i | −1.27302 | + | 0.817946i | ||||
\(191\) | 0.532783 | + | 0.922808i | 0.0385509 | + | 0.0667720i | 0.884657 | − | 0.466242i | \(-0.154393\pi\) |
−0.846106 | + | 0.533014i | \(0.821059\pi\) | |||||||
\(192\) | −8.65102 | + | 10.8240i | −0.624333 | + | 0.781158i | ||||
\(193\) | −7.00284 | + | 12.1293i | −0.504076 | + | 0.873084i | 0.495913 | + | 0.868372i | \(0.334833\pi\) |
−0.999989 | + | 0.00471241i | \(0.998500\pi\) | |||||||
\(194\) | 0.787571 | + | 16.5673i | 0.0565443 | + | 1.18946i | ||||
\(195\) | −0.666488 | − | 0.310269i | −0.0477282 | − | 0.0222188i | ||||
\(196\) | −1.03117 | − | 10.8213i | −0.0736549 | − | 0.772948i | ||||
\(197\) | 6.33207 | − | 2.62283i | 0.451141 | − | 0.186869i | −0.145531 | − | 0.989354i | \(-0.546489\pi\) |
0.596673 | + | 0.802485i | \(0.296489\pi\) | |||||||
\(198\) | −1.62791 | − | 17.5646i | −0.115690 | − | 1.24826i | ||||
\(199\) | −6.36707 | + | 6.36707i | −0.451350 | + | 0.451350i | −0.895802 | − | 0.444453i | \(-0.853398\pi\) |
0.444453 | + | 0.895802i | \(0.353398\pi\) | |||||||
\(200\) | −4.94771 | + | 41.2782i | −0.349856 | + | 2.91881i | ||||
\(201\) | 20.4514 | + | 6.43388i | 1.44253 | + | 0.453811i | ||||
\(202\) | 5.68830 | + | 12.0764i | 0.400228 | + | 0.849693i | ||||
\(203\) | 6.82873 | + | 0.899019i | 0.479283 | + | 0.0630988i | ||||
\(204\) | −2.98222 | + | 8.41221i | −0.208797 | + | 0.588973i | ||||
\(205\) | 4.67418 | + | 35.5039i | 0.326459 | + | 2.47970i | ||||
\(206\) | 1.67886 | − | 7.71395i | 0.116971 | − | 0.537456i | ||||
\(207\) | 0.135344 | − | 1.57017i | 0.00940709 | − | 0.109135i | ||||
\(208\) | 0.120662 | + | 0.363005i | 0.00836640 | + | 0.0251699i | ||||
\(209\) | −11.9651 | + | 6.90806i | −0.827644 | + | 0.477841i | ||||
\(210\) | −3.46059 | + | 13.1521i | −0.238803 | + | 0.907578i | ||||
\(211\) | 2.90515 | − | 2.22920i | 0.199999 | − | 0.153464i | −0.503907 | − | 0.863758i | \(-0.668104\pi\) |
0.703906 | + | 0.710294i | \(0.251438\pi\) | |||||||
\(212\) | −2.35309 | + | 3.75746i | −0.161611 | + | 0.258064i | ||||
\(213\) | 0.681405 | − | 3.87898i | 0.0466891 | − | 0.265783i | ||||
\(214\) | −0.793900 | + | 9.49737i | −0.0542699 | + | 0.649227i | ||||
\(215\) | −29.3127 | − | 29.3127i | −1.99911 | − | 1.99911i | ||||
\(216\) | −13.5009 | + | 5.80746i | −0.918618 | + | 0.395147i | ||||
\(217\) | −3.46338 | + | 3.46338i | −0.235110 | + | 0.235110i | ||||
\(218\) | 1.83144 | + | 2.16556i | 0.124041 | + | 0.146670i | ||||
\(219\) | 18.0277 | + | 3.16686i | 1.21820 | + | 0.213996i | ||||
\(220\) | −6.12738 | + | 36.3946i | −0.413108 | + | 2.45372i | ||||
\(221\) | 0.149997 | + | 0.195480i | 0.0100899 | + | 0.0131494i | ||||
\(222\) | 0.701291 | − | 0.409119i | 0.0470676 | − | 0.0274582i | ||||
\(223\) | −7.22965 | − | 12.5221i | −0.484133 | − | 0.838543i | 0.515701 | − | 0.856769i | \(-0.327532\pi\) |
−0.999834 | + | 0.0182256i | \(0.994198\pi\) | |||||||
\(224\) | 6.21247 | − | 3.38832i | 0.415088 | − | 0.226392i | ||||
\(225\) | −25.2459 | + | 36.1534i | −1.68306 | + | 2.41022i | ||||
\(226\) | −0.553808 | − | 0.861927i | −0.0368387 | − | 0.0573345i | ||||
\(227\) | −1.47144 | + | 0.193718i | −0.0976626 | + | 0.0128575i | −0.179199 | − | 0.983813i | \(-0.557351\pi\) |
0.0815365 | + | 0.996670i | \(0.474017\pi\) | |||||||
\(228\) | 8.55174 | + | 7.70542i | 0.566353 | + | 0.510304i | ||||
\(229\) | 2.11700 | − | 16.0802i | 0.139895 | − | 1.06261i | −0.767117 | − | 0.641507i | \(-0.778310\pi\) |
0.907013 | − | 0.421104i | \(-0.138357\pi\) | |||||||
\(230\) | −1.11577 | + | 3.10284i | −0.0735715 | + | 0.204595i | ||||
\(231\) | −2.70343 | + | 8.59339i | −0.177873 | + | 0.565404i | ||||
\(232\) | −4.20497 | − | 14.9948i | −0.276070 | − | 0.984457i | ||||
\(233\) | 13.0471 | + | 13.0471i | 0.854741 | + | 0.854741i | 0.990713 | − | 0.135972i | \(-0.0434157\pi\) |
−0.135972 | + | 0.990713i | \(0.543416\pi\) | |||||||
\(234\) | −0.0683967 | + | 0.399932i | −0.00447123 | + | 0.0261444i | ||||
\(235\) | −10.2228 | − | 24.6800i | −0.666862 | − | 1.60995i | ||||
\(236\) | −16.3897 | + | 8.69379i | −1.06688 | + | 0.565917i | ||||
\(237\) | −0.999085 | + | 2.14614i | −0.0648976 | + | 0.139407i | ||||
\(238\) | 3.06635 | − | 3.37243i | 0.198762 | − | 0.218602i | ||||
\(239\) | −17.5726 | − | 10.1456i | −1.13668 | − | 0.656262i | −0.191073 | − | 0.981576i | \(-0.561197\pi\) |
−0.945606 | + | 0.325314i | \(0.894530\pi\) | |||||||
\(240\) | 30.4177 | − | 4.50439i | 1.96346 | − | 0.290757i | ||||
\(241\) | −6.95525 | + | 4.01561i | −0.448027 | + | 0.258668i | −0.706997 | − | 0.707217i | \(-0.749950\pi\) |
0.258970 | + | 0.965885i | \(0.416617\pi\) | |||||||
\(242\) | −1.89080 | + | 8.68776i | −0.121545 | + | 0.558470i | ||||
\(243\) | −15.5334 | − | 1.30885i | −0.996469 | − | 0.0839627i | ||||
\(244\) | 18.5102 | + | 19.8892i | 1.18500 | + | 1.27327i | ||||
\(245\) | −14.6850 | + | 19.1379i | −0.938192 | + | 1.22268i | ||||
\(246\) | 18.2249 | − | 7.64547i | 1.16198 | − | 0.487458i | ||||
\(247\) | 0.306959 | − | 0.0822494i | 0.0195313 | − | 0.00523340i | ||||
\(248\) | 10.2800 | + | 4.11898i | 0.652779 | + | 0.261556i | ||||
\(249\) | 14.3949 | + | 15.6890i | 0.912237 | + | 0.994252i | ||||
\(250\) | 46.4810 | − | 39.3097i | 2.93972 | − | 2.48616i | ||||
\(251\) | −6.63225 | + | 2.74717i | −0.418624 | + | 0.173400i | −0.582045 | − | 0.813157i | \(-0.697747\pi\) |
0.163421 | + | 0.986556i | \(0.447747\pi\) | |||||||
\(252\) | 7.50535 | − | 0.0676963i | 0.472793 | − | 0.00426447i | ||||
\(253\) | −0.835860 | + | 2.01794i | −0.0525500 | + | 0.126867i | ||||
\(254\) | 1.78160 | + | 0.918700i | 0.111788 | + | 0.0576444i | ||||
\(255\) | 17.5626 | − | 9.15680i | 1.09981 | − | 0.573421i | ||||
\(256\) | −12.5691 | − | 9.90039i | −0.785569 | − | 0.618774i | ||||
\(257\) | 12.6692 | − | 21.9436i | 0.790280 | − | 1.36881i | −0.135513 | − | 0.990776i | \(-0.543268\pi\) |
0.925793 | − | 0.378030i | \(-0.123398\pi\) | |||||||
\(258\) | −11.3498 | + | 19.8648i | −0.706610 | + | 1.23673i | ||||
\(259\) | −0.411088 | + | 0.0541208i | −0.0255438 | + | 0.00336290i | ||||
\(260\) | 0.352797 | − | 0.772118i | 0.0218795 | − | 0.0478847i | ||||
\(261\) | 3.55446 | − | 16.1309i | 0.220015 | − | 0.998481i | ||||
\(262\) | 4.66517 | + | 25.8718i | 0.288215 | + | 1.59836i | ||||
\(263\) | −18.5773 | − | 4.97778i | −1.14553 | − | 0.306943i | −0.364356 | − | 0.931260i | \(-0.618711\pi\) |
−0.781171 | + | 0.624317i | \(0.785378\pi\) | |||||||
\(264\) | 20.2680 | − | 2.02363i | 1.24741 | − | 0.124546i | ||||
\(265\) | 9.50328 | − | 2.54640i | 0.583782 | − | 0.156424i | ||||
\(266\) | −2.50503 | − | 5.31823i | −0.153593 | − | 0.326082i | ||||
\(267\) | −0.833803 | + | 4.74652i | −0.0510279 | + | 0.290482i | ||||
\(268\) | −7.26143 | + | 23.6673i | −0.443562 | + | 1.44571i | ||||
\(269\) | −19.0648 | − | 7.89688i | −1.16240 | − | 0.481482i | −0.283726 | − | 0.958905i | \(-0.591571\pi\) |
−0.878673 | + | 0.477424i | \(0.841571\pi\) | |||||||
\(270\) | 30.7119 | + | 10.9772i | 1.86907 | + | 0.668051i | ||||
\(271\) | 16.3373i | 0.992423i | 0.868202 | + | 0.496211i | \(0.165276\pi\) | ||||
−0.868202 | + | 0.496211i | \(0.834724\pi\) | |||||||
\(272\) | −9.73778 | − | 3.37455i | −0.590440 | − | 0.204612i | ||||
\(273\) | 0.111221 | − | 0.174829i | 0.00673141 | − | 0.0105811i | ||||
\(274\) | 3.50107 | − | 3.85055i | 0.211507 | − | 0.232620i | ||||
\(275\) | 48.4842 | − | 37.2032i | 2.92370 | − | 2.24344i | ||||
\(276\) | 1.81414 | + | 0.143412i | 0.109199 | + | 0.00863237i | ||||
\(277\) | 13.4579 | − | 17.5387i | 0.808607 | − | 1.05380i | −0.188814 | − | 0.982013i | \(-0.560464\pi\) |
0.997420 | − | 0.0717836i | \(-0.0228691\pi\) | |||||||
\(278\) | −4.47617 | − | 3.10851i | −0.268463 | − | 0.186436i | ||||
\(279\) | 7.56187 | + | 8.98846i | 0.452717 | + | 0.538125i | ||||
\(280\) | −15.2147 | − | 3.88807i | −0.909250 | − | 0.232357i | ||||
\(281\) | 12.5174 | + | 3.35403i | 0.746726 | + | 0.200085i | 0.612065 | − | 0.790807i | \(-0.290339\pi\) |
0.134660 | + | 0.990892i | \(0.457006\pi\) | |||||||
\(282\) | −11.6559 | + | 9.02769i | −0.694099 | + | 0.537591i | ||||
\(283\) | −1.30333 | + | 9.89976i | −0.0774748 | + | 0.588480i | 0.908039 | + | 0.418885i | \(0.137579\pi\) |
−0.985514 | + | 0.169594i | \(0.945754\pi\) | |||||||
\(284\) | 4.48453 | + | 0.755013i | 0.266108 | + | 0.0448018i | ||||
\(285\) | −2.24269 | − | 25.4463i | −0.132846 | − | 1.50731i | ||||
\(286\) | 0.257719 | − | 0.499786i | 0.0152393 | − | 0.0295529i | ||||
\(287\) | −10.0932 | −0.595782 | ||||||||
\(288\) | −6.81634 | − | 15.5415i | −0.401657 | − | 0.915790i | ||||
\(289\) | 10.3618 | 0.609515 | ||||||||
\(290\) | −15.8390 | + | 30.7160i | −0.930100 | + | 1.80371i | ||||
\(291\) | −18.4159 | − | 8.57309i | −1.07956 | − | 0.502563i | ||||
\(292\) | −3.50895 | + | 20.8420i | −0.205346 | + | 1.21969i | ||||
\(293\) | −1.82530 | + | 13.8646i | −0.106635 | + | 0.809976i | 0.851640 | + | 0.524128i | \(0.175609\pi\) |
−0.958275 | + | 0.285848i | \(0.907725\pi\) | |||||||
\(294\) | 12.3228 | + | 5.03927i | 0.718678 | + | 0.293896i | ||||
\(295\) | 39.7685 | + | 10.6559i | 2.31541 | + | 0.620413i | ||||
\(296\) | 0.478144 | + | 0.806409i | 0.0277916 | + | 0.0468715i | ||||
\(297\) | 19.9757 | + | 8.22924i | 1.15911 | + | 0.477509i | ||||
\(298\) | −2.05361 | − | 1.42614i | −0.118962 | − | 0.0826142i | ||||
\(299\) | 0.0305838 | − | 0.0398575i | 0.00176871 | − | 0.00230502i | ||||
\(300\) | −41.9521 | − | 28.8544i | −2.42211 | − | 1.66591i | ||||
\(301\) | 9.26953 | − | 7.11276i | 0.534287 | − | 0.409973i | ||||
\(302\) | −8.75745 | + | 9.63162i | −0.503934 | + | 0.554238i | ||||
\(303\) | −16.3340 | − | 0.702671i | −0.938366 | − | 0.0403674i | ||||
\(304\) | −8.82715 | + | 9.93759i | −0.506272 | + | 0.569960i | ||||
\(305\) | − | 60.2943i | − | 3.45244i | ||||||
\(306\) | −7.42634 | − | 8.02109i | −0.424536 | − | 0.458535i | ||||
\(307\) | 11.3201 | + | 4.68895i | 0.646074 | + | 0.267613i | 0.681565 | − | 0.731757i | \(-0.261300\pi\) |
−0.0354914 | + | 0.999370i | \(0.511300\pi\) | |||||||
\(308\) | −9.94470 | − | 3.05116i | −0.566652 | − | 0.173856i | ||||
\(309\) | 7.41070 | + | 6.21022i | 0.421580 | + | 0.353287i | ||||
\(310\) | −10.4723 | − | 22.2330i | −0.594788 | − | 1.26275i | ||||
\(311\) | −24.3012 | + | 6.51148i | −1.37799 | + | 0.369232i | −0.870392 | − | 0.492360i | \(-0.836134\pi\) |
−0.507601 | + | 0.861592i | \(0.669468\pi\) | |||||||
\(312\) | −0.462350 | − | 0.0756985i | −0.0261754 | − | 0.00428558i | ||||
\(313\) | −4.43079 | − | 1.18723i | −0.250443 | − | 0.0671061i | 0.131413 | − | 0.991328i | \(-0.458048\pi\) |
−0.381857 | + | 0.924222i | \(0.624715\pi\) | |||||||
\(314\) | 1.35102 | + | 7.49241i | 0.0762426 | + | 0.422821i | ||||
\(315\) | −12.2946 | − | 11.2370i | −0.692724 | − | 0.633133i | ||||
\(316\) | −2.48627 | − | 1.13603i | −0.139864 | − | 0.0639066i | ||||
\(317\) | 25.0234 | − | 3.29439i | 1.40545 | − | 0.185031i | 0.610650 | − | 0.791900i | \(-0.290908\pi\) |
0.794802 | + | 0.606869i | \(0.207575\pi\) | |||||||
\(318\) | −2.73611 | − | 4.69010i | −0.153433 | − | 0.263008i | ||||
\(319\) | −11.4463 | + | 19.8255i | −0.640868 | + | 1.11002i | ||||
\(320\) | 5.45035 | + | 35.0856i | 0.304684 | + | 1.96134i | ||||
\(321\) | −9.84844 | − | 6.26528i | −0.549686 | − | 0.349694i | ||||
\(322\) | −0.826011 | − | 0.425941i | −0.0460318 | − | 0.0237367i | ||||
\(323\) | −3.27637 | + | 7.90986i | −0.182302 | + | 0.440116i | ||||
\(324\) | 1.38400 | − | 17.9467i | 0.0768891 | − | 0.997040i | ||||
\(325\) | −1.29867 | + | 0.537927i | −0.0720372 | + | 0.0298388i | ||||
\(326\) | 12.6880 | − | 10.7304i | 0.702724 | − | 0.594303i | ||||
\(327\) | −3.39075 | + | 0.753992i | −0.187509 | + | 0.0416959i | ||||
\(328\) | 8.97735 | + | 20.9811i | 0.495691 | + | 1.15849i | ||||
\(329\) | 7.27268 | − | 1.94871i | 0.400956 | − | 0.107436i | ||||
\(330\) | −35.9844 | − | 27.3549i | −1.98088 | − | 1.50584i | ||||
\(331\) | −5.64742 | + | 7.35986i | −0.310410 | + | 0.404535i | −0.922341 | − | 0.386377i | \(-0.873726\pi\) |
0.611931 | + | 0.790911i | \(0.290393\pi\) | |||||||
\(332\) | −17.9977 | + | 16.7499i | −0.987753 | + | 0.919270i | ||||
\(333\) | 0.0446475 | + | 0.993372i | 0.00244667 | + | 0.0544364i | ||||
\(334\) | 1.88120 | − | 8.64368i | 0.102935 | − | 0.472961i | ||||
\(335\) | 47.5775 | − | 27.4689i | 2.59944 | − | 1.50079i | ||||
\(336\) | 0.139669 | + | 8.66566i | 0.00761957 | + | 0.472750i | ||||
\(337\) | −9.87204 | − | 5.69962i | −0.537764 | − | 0.310478i | 0.206408 | − | 0.978466i | \(-0.433823\pi\) |
−0.744172 | + | 0.667988i | \(0.767156\pi\) | |||||||
\(338\) | 12.3593 | − | 13.5931i | 0.672260 | − | 0.739365i | ||||
\(339\) | 1.24992 | − | 0.110161i | 0.0678863 | − | 0.00598312i | ||||
\(340\) | 10.7170 | + | 20.2040i | 0.581212 | + | 1.09571i | ||||
\(341\) | −6.22984 | − | 15.0402i | −0.337365 | − | 0.814471i | ||||
\(342\) | −13.2229 | + | 4.89003i | −0.715015 | + | 0.264423i | ||||
\(343\) | −10.9995 | − | 10.9995i | −0.593917 | − | 0.593917i | ||||
\(344\) | −23.0304 | − | 12.9425i | −1.24171 | − | 0.697815i | ||||
\(345\) | −2.73023 | − | 2.97569i | −0.146990 | − | 0.160206i | ||||
\(346\) | 2.76898 | − | 7.70027i | 0.148861 | − | 0.413969i | ||||
\(347\) | −2.40927 | + | 18.3003i | −0.129337 | + | 0.982409i | 0.796541 | + | 0.604585i | \(0.206661\pi\) |
−0.925877 | + | 0.377824i | \(0.876672\pi\) | |||||||
\(348\) | 18.6551 | + | 3.97205i | 1.00002 | + | 0.212924i | ||||
\(349\) | −21.0323 | + | 2.76896i | −1.12583 | + | 0.148219i | −0.670364 | − | 0.742033i | \(-0.733862\pi\) |
−0.455470 | + | 0.890251i | \(0.650529\pi\) | |||||||
\(350\) | 14.0562 | + | 21.8766i | 0.751337 | + | 1.16935i | ||||
\(351\) | −0.394819 | − | 0.301751i | −0.0210739 | − | 0.0161063i | ||||
\(352\) | 2.50271 | + | 23.3863i | 0.133395 | + | 1.24649i | ||||
\(353\) | 1.81403 | + | 3.14198i | 0.0965508 | + | 0.167231i | 0.910255 | − | 0.414049i | \(-0.135886\pi\) |
−0.813704 | + | 0.581280i | \(0.802552\pi\) | |||||||
\(354\) | −0.102472 | − | 22.7222i | −0.00544632 | − | 1.20767i | ||||
\(355\) | −6.14356 | − | 8.00645i | −0.326066 | − | 0.424938i | ||||
\(356\) | −5.48750 | − | 0.923873i | −0.290837 | − | 0.0489652i | ||||
\(357\) | 1.91267 | + | 5.24456i | 0.101229 | + | 0.277572i | ||||
\(358\) | −10.9833 | − | 12.9870i | −0.580486 | − | 0.686386i | ||||
\(359\) | 1.72433 | − | 1.72433i | 0.0910068 | − | 0.0910068i | −0.660138 | − | 0.751145i | \(-0.729502\pi\) |
0.751145 | + | 0.660138i | \(0.229502\pi\) | |||||||
\(360\) | −12.4234 | + | 35.5521i | −0.654771 | + | 1.87376i | ||||
\(361\) | −5.62705 | − | 5.62705i | −0.296161 | − | 0.296161i | ||||
\(362\) | −2.00516 | + | 23.9875i | −0.105389 | + | 1.26076i | ||||
\(363\) | −8.34623 | − | 6.99421i | −0.438063 | − | 0.367101i | ||||
\(364\) | 0.202782 | + | 0.126991i | 0.0106287 | + | 0.00665615i | ||||
\(365\) | 37.2103 | − | 28.5524i | 1.94767 | − | 1.49450i | ||||
\(366\) | −32.1033 | + | 8.75740i | −1.67806 | + | 0.457757i | ||||
\(367\) | 0.658261 | − | 0.380047i | 0.0343610 | − | 0.0198383i | −0.482721 | − | 0.875774i | \(-0.660352\pi\) |
0.517082 | + | 0.855936i | \(0.327018\pi\) | |||||||
\(368\) | −0.150728 | + | 2.09592i | −0.00785722 | + | 0.109257i | ||||
\(369\) | −2.07873 | + | 24.1160i | −0.108214 | + | 1.25543i | ||||
\(370\) | 0.442434 | − | 2.03288i | 0.0230010 | − | 0.105684i | ||||
\(371\) | 0.361949 | + | 2.74928i | 0.0187915 | + | 0.142735i | ||||
\(372\) | −10.3168 | + | 8.80513i | −0.534899 | + | 0.456525i | ||||
\(373\) | −13.7418 | − | 1.80914i | −0.711523 | − | 0.0936737i | −0.233928 | − | 0.972254i | \(-0.575158\pi\) |
−0.477595 | + | 0.878580i | \(0.658491\pi\) | |||||||
\(374\) | 6.45557 | + | 13.7053i | 0.333810 | + | 0.708686i | ||||
\(375\) | 16.1835 | + | 72.7784i | 0.835714 | + | 3.75826i | ||||
\(376\) | −10.5195 | − | 13.3848i | −0.542503 | − | 0.690266i | ||||
\(377\) | 0.372331 | − | 0.372331i | 0.0191760 | − | 0.0191760i | ||||
\(378\) | −4.19733 | + | 8.17830i | −0.215888 | + | 0.420647i | ||||
\(379\) | −17.3658 | + | 7.19316i | −0.892023 | + | 0.369488i | −0.781148 | − | 0.624346i | \(-0.785365\pi\) |
−0.110875 | + | 0.993834i | \(0.535365\pi\) | |||||||
\(380\) | 29.3637 | − | 2.79809i | 1.50633 | − | 0.143539i | ||||
\(381\) | −2.01014 | + | 1.40944i | −0.102983 | + | 0.0722076i | ||||
\(382\) | −0.0715557 | − | 1.50524i | −0.00366111 | − | 0.0770147i | ||||
\(383\) | −8.70697 | + | 15.0809i | −0.444905 | + | 0.770599i | −0.998046 | − | 0.0624894i | \(-0.980096\pi\) |
0.553140 | + | 0.833088i | \(0.313429\pi\) | |||||||
\(384\) | 17.8894 | − | 7.99798i | 0.912917 | − | 0.408145i | ||||
\(385\) | 11.5421 | + | 19.9915i | 0.588238 | + | 1.01886i | ||||
\(386\) | 16.6638 | − | 10.7069i | 0.848164 | − | 0.544965i | ||||
\(387\) | −15.0857 | − | 23.6129i | −0.766847 | − | 1.20031i | ||||
\(388\) | 9.74819 | − | 21.3345i | 0.494890 | − | 1.08310i | ||||
\(389\) | 12.8383 | + | 9.85116i | 0.650927 | + | 0.499474i | 0.880641 | − | 0.473784i | \(-0.157112\pi\) |
−0.229714 | + | 0.973258i | \(0.573779\pi\) | |||||||
\(390\) | 0.636634 | + | 0.821976i | 0.0322372 | + | 0.0416224i | ||||
\(391\) | 0.350314 | + | 1.30739i | 0.0177161 | + | 0.0661175i | ||||
\(392\) | −5.71772 | + | 14.2700i | −0.288789 | + | 0.720746i | ||||
\(393\) | −30.7134 | − | 9.66225i | −1.54928 | − | 0.487396i | ||||
\(394\) | −9.65903 | − | 0.807413i | −0.486615 | − | 0.0406769i | ||||
\(395\) | 2.32139 | + | 5.60433i | 0.116802 | + | 0.281984i | ||||
\(396\) | −9.33838 | + | 23.1328i | −0.469271 | + | 1.16247i | ||||
\(397\) | −30.8435 | − | 12.7758i | −1.54799 | − | 0.641198i | −0.565038 | − | 0.825065i | \(-0.691138\pi\) |
−0.982951 | + | 0.183867i | \(0.941138\pi\) | |||||||
\(398\) | 12.1299 | − | 3.87619i | 0.608015 | − | 0.194296i | ||||
\(399\) | 7.19322 | + | 0.309444i | 0.360111 | + | 0.0154916i | ||||
\(400\) | 32.9736 | − | 48.6774i | 1.64868 | − | 2.43387i | ||||
\(401\) | −9.16260 | − | 5.29003i | −0.457558 | − | 0.264171i | 0.253459 | − | 0.967346i | \(-0.418432\pi\) |
−0.711017 | + | 0.703175i | \(0.751765\pi\) | |||||||
\(402\) | −21.5360 | − | 21.3426i | −1.07412 | − | 1.06447i | ||||
\(403\) | 0.0488748 | + | 0.371241i | 0.00243463 | + | 0.0184928i | ||||
\(404\) | 0.677506 | − | 18.8662i | 0.0337072 | − | 0.938629i | ||||
\(405\) | −29.3810 | + | 27.0617i | −1.45996 | + | 1.34471i | ||||
\(406\) | −8.00060 | − | 5.55608i | −0.397063 | − | 0.275743i | ||||
\(407\) | 0.356685 | − | 1.33117i | 0.0176802 | − | 0.0659835i | ||||
\(408\) | 9.20087 | − | 8.64071i | 0.455511 | − | 0.427779i | ||||
\(409\) | −6.94590 | − | 25.9225i | −0.343453 | − | 1.28178i | −0.894409 | − | 0.447249i | \(-0.852404\pi\) |
0.550957 | − | 0.834534i | \(-0.314263\pi\) | |||||||
\(410\) | 17.1368 | − | 47.6558i | 0.846326 | − | 2.35355i | ||||
\(411\) | 2.18383 | + | 5.98809i | 0.107721 | + | 0.295371i | ||||
\(412\) | −7.11004 | + | 8.60781i | −0.350287 | + | 0.424076i | ||||
\(413\) | −4.44074 | + | 10.7209i | −0.218515 | + | 0.527541i | ||||
\(414\) | −1.18783 | + | 1.88589i | −0.0583788 | + | 0.0926865i | ||||
\(415\) | 54.5603 | 2.67826 | ||||||||
\(416\) | 0.0836182 | − | 0.534483i | 0.00409972 | − | 0.0262052i | ||||
\(417\) | 5.91834 | − | 3.08572i | 0.289823 | − | 0.151108i | ||||
\(418\) | 19.5169 | − | 0.927791i | 0.954603 | − | 0.0453797i | ||||
\(419\) | 11.0022 | + | 14.3384i | 0.537495 | + | 0.700477i | 0.980606 | − | 0.195990i | \(-0.0627920\pi\) |
−0.443111 | + | 0.896467i | \(0.646125\pi\) | |||||||
\(420\) | 12.8743 | − | 14.2884i | 0.628201 | − | 0.697200i | ||||
\(421\) | −6.25865 | − | 4.80243i | −0.305028 | − | 0.234056i | 0.444893 | − | 0.895584i | \(-0.353242\pi\) |
−0.749921 | + | 0.661528i | \(0.769908\pi\) | |||||||
\(422\) | −5.09646 | + | 0.918988i | −0.248092 | + | 0.0447356i | ||||
\(423\) | −3.15828 | − | 17.7782i | −0.153561 | − | 0.864405i | ||||
\(424\) | 5.39311 | − | 3.19774i | 0.261912 | − | 0.155296i | ||||
\(425\) | 9.80159 | − | 36.5800i | 0.475447 | − | 1.77439i | ||||
\(426\) | −3.37066 | + | 4.43399i | −0.163309 | + | 0.214827i | ||||
\(427\) | 16.8487 | + | 2.21817i | 0.815363 | + | 0.107345i | ||||
\(428\) | 7.15363 | − | 11.4230i | 0.345784 | − | 0.552154i | ||||
\(429\) | 0.395384 | + | 0.563897i | 0.0190893 | + | 0.0272252i | ||||
\(430\) | 17.8452 | + | 55.8434i | 0.860571 | + | 2.69301i | ||||
\(431\) | 38.9561i | 1.87645i | 0.346025 | + | 0.938225i | \(0.387531\pi\) | ||||
−0.346025 | + | 0.938225i | \(0.612469\pi\) | |||||||
\(432\) | 20.7339 | + | 1.45101i | 0.997560 | + | 0.0698116i | ||||
\(433\) | 5.62134i | 0.270145i | 0.990836 | + | 0.135072i | \(0.0431267\pi\) | ||||
−0.990836 | + | 0.135072i | \(0.956873\pi\) | |||||||
\(434\) | 6.59806 | − | 2.10846i | 0.316717 | − | 0.101209i | ||||
\(435\) | −24.2997 | − | 34.6562i | −1.16508 | − | 1.66164i | ||||
\(436\) | −0.898398 | − | 3.90903i | −0.0430255 | − | 0.187208i | ||||
\(437\) | 1.73073 | + | 0.227855i | 0.0827921 | + | 0.0108998i | ||||
\(438\) | −20.6071 | − | 15.6653i | −0.984647 | − | 0.748515i | ||||
\(439\) | −2.79058 | + | 10.4146i | −0.133187 | + | 0.497062i | −0.999999 | − | 0.00157424i | \(-0.999499\pi\) |
0.866811 | + | 0.498636i | \(0.166166\pi\) | |||||||
\(440\) | 31.2910 | − | 41.7743i | 1.49174 | − | 1.99151i | ||||
\(441\) | −12.4772 | + | 10.4969i | −0.594154 | + | 0.499854i | ||||
\(442\) | −0.0618364 | − | 0.342928i | −0.00294126 | − | 0.0163114i | ||||
\(443\) | −31.4895 | − | 24.1627i | −1.49611 | − | 1.14801i | −0.950814 | − | 0.309762i | \(-0.899751\pi\) |
−0.545296 | − | 0.838243i | \(-0.683583\pi\) | |||||||
\(444\) | −1.14665 | + | 0.0596933i | −0.0544177 | + | 0.00283292i | ||||
\(445\) | 7.51758 | + | 9.79710i | 0.356368 | + | 0.464427i | ||||
\(446\) | 0.970982 | + | 20.4255i | 0.0459773 | + | 0.967174i | ||||
\(447\) | 2.71525 | − | 1.41568i | 0.128427 | − | 0.0669596i | ||||
\(448\) | −10.0048 | + | 0.232282i | −0.472684 | + | 0.0109743i | ||||
\(449\) | 23.0258 | 1.08665 | 0.543327 | − | 0.839521i | \(-0.317164\pi\) | ||||
0.543327 | + | 0.839521i | \(0.317164\pi\) | |||||||
\(450\) | 55.1654 | − | 29.0794i | 2.60052 | − | 1.37082i | ||||
\(451\) | 12.8378 | − | 30.9931i | 0.604507 | − | 1.45941i | ||||
\(452\) | 0.137442 | + | 1.44234i | 0.00646473 | + | 0.0678421i | ||||
\(453\) | −5.46256 | − | 14.9784i | −0.256653 | − | 0.703746i | ||||
\(454\) | 1.97507 | + | 0.710224i | 0.0926944 | + | 0.0333325i | ||||
\(455\) | −0.137423 | − | 0.512871i | −0.00644250 | − | 0.0240437i | ||||
\(456\) | −5.75474 | − | 15.2281i | −0.269490 | − | 0.713120i | ||||
\(457\) | 2.05335 | − | 7.66319i | 0.0960515 | − | 0.358469i | −0.901125 | − | 0.433559i | \(-0.857258\pi\) |
0.997177 | + | 0.0750898i | \(0.0239243\pi\) | |||||||
\(458\) | −13.0834 | + | 18.8397i | −0.611346 | + | 0.880322i | ||||
\(459\) | 12.9249 | − | 3.48987i | 0.603283 | − | 0.162893i | ||||
\(460\) | 3.41357 | − | 3.17690i | 0.159158 | − | 0.148124i | ||||
\(461\) | −0.324022 | − | 2.46119i | −0.0150912 | − | 0.114629i | 0.982241 | − | 0.187622i | \(-0.0600781\pi\) |
−0.997332 | + | 0.0729934i | \(0.976745\pi\) | |||||||
\(462\) | 8.96789 | − | 9.04914i | 0.417224 | − | 0.421004i | ||||
\(463\) | −18.1636 | − | 10.4867i | −0.844133 | − | 0.487360i | 0.0145342 | − | 0.999894i | \(-0.495373\pi\) |
−0.858667 | + | 0.512534i | \(0.828707\pi\) | |||||||
\(464\) | −4.43354 | + | 21.5730i | −0.205822 | + | 1.00150i | ||||
\(465\) | 30.0714 | + | 1.29364i | 1.39453 | + | 0.0599909i | ||||
\(466\) | −7.94287 | − | 24.8558i | −0.367946 | − | 1.15142i | ||||
\(467\) | −2.29510 | − | 0.950660i | −0.106204 | − | 0.0439913i | 0.328949 | − | 0.944348i | \(-0.393306\pi\) |
−0.435153 | + | 0.900357i | \(0.643306\pi\) | |||||||
\(468\) | 0.345188 | − | 0.458359i | 0.0159563 | − | 0.0211876i | ||||
\(469\) | 5.92559 | + | 14.3056i | 0.273618 | + | 0.660573i | ||||
\(470\) | −3.14699 | + | 37.6472i | −0.145160 | + | 1.73654i | ||||
\(471\) | −8.89452 | − | 2.79817i | −0.409838 | − | 0.128933i | ||||
\(472\) | 26.2358 | − | 0.304517i | 1.20760 | − | 0.0140165i | ||||
\(473\) | 10.0510 | + | 37.5109i | 0.462146 | + | 1.72475i | ||||
\(474\) | 2.64681 | − | 2.05000i | 0.121572 | − | 0.0941598i | ||||
\(475\) | −38.7496 | − | 29.7336i | −1.77795 | − | 1.36427i | ||||
\(476\) | −6.04007 | + | 2.25148i | −0.276846 | + | 0.103197i | ||||
\(477\) | 6.64348 | − | 0.298594i | 0.304184 | − | 0.0136717i | ||||
\(478\) | 15.5119 | + | 24.1421i | 0.709496 | + | 1.10424i | ||||
\(479\) | −9.96920 | − | 17.2672i | −0.455504 | − | 0.788957i | 0.543213 | − | 0.839595i | \(-0.317208\pi\) |
−0.998717 | + | 0.0506384i | \(0.983874\pi\) | |||||||
\(480\) | −41.1528 | − | 14.0536i | −1.87836 | − | 0.641457i | ||||
\(481\) | −0.0158492 | + | 0.0274517i | −0.000722664 | + | 0.00125169i | ||||
\(482\) | 11.3451 | − | 0.539319i | 0.516753 | − | 0.0245653i | ||||
\(483\) | 0.931969 | − | 0.653462i | 0.0424061 | − | 0.0297336i | ||||
\(484\) | 8.00762 | − | 9.69446i | 0.363983 | − | 0.440657i | ||||
\(485\) | −48.0904 | + | 19.9197i | −2.18367 | + | 0.904506i | ||||
\(486\) | 18.6762 | + | 11.7132i | 0.847171 | + | 0.531320i | ||||
\(487\) | −21.1033 | + | 21.1033i | −0.956283 | + | 0.956283i | −0.999084 | − | 0.0428006i | \(-0.986372\pi\) |
0.0428006 | + | 0.999084i | \(0.486372\pi\) | |||||||
\(488\) | −10.3750 | − | 36.9970i | −0.469654 | − | 1.67477i | ||||
\(489\) | 4.41765 | + | 19.8664i | 0.199773 | + | 0.898392i | ||||
\(490\) | 30.8625 | − | 14.5370i | 1.39423 | − | 0.656717i | ||||
\(491\) | −12.9939 | − | 1.71067i | −0.586404 | − | 0.0772016i | −0.168514 | − | 0.985699i | \(-0.553897\pi\) |
−0.417890 | + | 0.908498i | \(0.637230\pi\) | |||||||
\(492\) | −27.8630 | − | 2.20263i | −1.25616 | − | 0.0993021i | ||||
\(493\) | 1.85165 | + | 14.0647i | 0.0833940 | + | 0.633440i | ||||
\(494\) | −0.439139 | − | 0.0955739i | −0.0197578 | − | 0.00430007i | ||||
\(495\) | 50.1433 | − | 23.4605i | 2.25378 | − | 1.05447i | ||||
\(496\) | −10.2516 | − | 11.8403i | −0.460309 | − | 0.531645i | ||||
\(497\) | 2.46334 | − | 1.42221i | 0.110496 | − | 0.0637948i | ||||
\(498\) | −7.92457 | − | 29.0502i | −0.355109 | − | 1.30177i | ||||
\(499\) | −17.0445 | + | 13.0787i | −0.763015 | + | 0.585482i | −0.915261 | − | 0.402860i | \(-0.868016\pi\) |
0.152246 | + | 0.988343i | \(0.451349\pi\) | |||||||
\(500\) | −83.9026 | + | 19.2830i | −3.75224 | + | 0.862364i | ||||
\(501\) | 8.30388 | + | 6.95872i | 0.370990 | + | 0.310893i | ||||
\(502\) | 10.1169 | + | 0.845690i | 0.451541 | + | 0.0377450i | ||||
\(503\) | 29.1393 | + | 29.1393i | 1.29926 | + | 1.29926i | 0.928882 | + | 0.370377i | \(0.120771\pi\) |
0.370377 | + | 0.928882i | \(0.379229\pi\) | |||||||
\(504\) | −9.47765 | − | 4.77953i | −0.422168 | − | 0.212897i | ||||
\(505\) | −29.6235 | + | 29.6235i | −1.31823 | + | 1.31823i | ||||
\(506\) | 2.35856 | − | 1.99467i | 0.104851 | − | 0.0886738i | ||||
\(507\) | 7.70928 | + | 21.1389i | 0.342381 | + | 0.938812i | ||||
\(508\) | −1.64391 | − | 2.30950i | −0.0729366 | − | 0.102468i | ||||
\(509\) | −11.9320 | − | 15.5500i | −0.528875 | − | 0.689243i | 0.450157 | − | 0.892949i | \(-0.351368\pi\) |
−0.979032 | + | 0.203706i | \(0.934701\pi\) | |||||||
\(510\) | −28.0101 | + | 0.126319i | −1.24031 | + | 0.00559351i | ||||
\(511\) | 6.60977 | + | 11.4485i | 0.292399 | + | 0.506450i | ||||
\(512\) | 9.38164 | + | 20.5909i | 0.414614 | + | 0.909998i | ||||
\(513\) | 2.22083 | − | 17.1233i | 0.0980521 | − | 0.756010i | ||||
\(514\) | −30.1472 | + | 19.3703i | −1.32974 | + | 0.854385i | ||||
\(515\) | 24.5638 | − | 3.23389i | 1.08241 | − | 0.142502i | ||||
\(516\) | 27.1415 | − | 17.6125i | 1.19484 | − | 0.775346i | ||||
\(517\) | −3.26641 | + | 24.8108i | −0.143657 | + | 1.09118i | ||||
\(518\) | 0.551791 | + | 0.198421i | 0.0242443 | + | 0.00871814i | ||||
\(519\) | 6.77555 | + | 7.38471i | 0.297414 | + | 0.324153i | ||||
\(520\) | −0.943895 | + | 0.741839i | −0.0413925 | + | 0.0325318i | ||||
\(521\) | −2.53175 | − | 2.53175i | −0.110918 | − | 0.110918i | 0.649469 | − | 0.760388i | \(-0.274991\pi\) |
−0.760388 | + | 0.649469i | \(0.774991\pi\) | |||||||
\(522\) | −14.9231 | + | 17.9718i | −0.653165 | + | 0.786604i | ||||
\(523\) | 10.0621 | + | 24.2921i | 0.439986 | + | 1.06222i | 0.975953 | + | 0.217982i | \(0.0699473\pi\) |
−0.535967 | + | 0.844239i | \(0.680053\pi\) | |||||||
\(524\) | 10.9050 | − | 35.5430i | 0.476389 | − | 1.55270i | ||||
\(525\) | −31.7243 | + | 2.79600i | −1.38456 | + | 0.122028i | ||||
\(526\) | 20.1242 | + | 18.2977i | 0.877458 | + | 0.797819i | ||||
\(527\) | −8.73645 | − | 5.04399i | −0.380566 | − | 0.219720i | ||||
\(528\) | −26.7873 | − | 10.5932i | −1.16577 | − | 0.461010i | ||||
\(529\) | −19.6796 | + | 11.3620i | −0.855634 | + | 0.494001i | ||||
\(530\) | −13.5955 | − | 2.95891i | −0.590551 | − | 0.128527i | ||||
\(531\) | 24.7012 | + | 12.8184i | 1.07194 | + | 0.556272i | ||||
\(532\) | −0.298361 | + | 8.30834i | −0.0129356 | + | 0.360212i | ||||
\(533\) | −0.469729 | + | 0.612163i | −0.0203462 | + | 0.0265157i | ||||
\(534\) | 4.12451 | − | 5.42566i | 0.178485 | − | 0.234791i | ||||
\(535\) | −28.8909 | + | 7.74129i | −1.24906 | + | 0.334685i | ||||
\(536\) | 24.4672 | − | 25.0419i | 1.05682 | − | 1.08164i | ||||
\(537\) | 20.3346 | − | 4.52176i | 0.877504 | − | 0.195128i | ||||
\(538\) | 18.8449 | + | 22.2828i | 0.812460 | + | 0.960680i | ||||
\(539\) | 20.8779 | − | 8.64789i | 0.899273 | − | 0.372491i | ||||
\(540\) | −31.4881 | − | 33.7037i | −1.35503 | − | 1.45038i | ||||
\(541\) | 4.84101 | − | 11.6872i | 0.208131 | − | 0.502473i | −0.784998 | − | 0.619499i | \(-0.787336\pi\) |
0.993129 | + | 0.117025i | \(0.0373359\pi\) | |||||||
\(542\) | 10.5891 | − | 20.5351i | 0.454841 | − | 0.882056i | ||||
\(543\) | −24.8742 | − | 15.8242i | −1.06746 | − | 0.679083i | ||||
\(544\) | 10.0526 | + | 10.5532i | 0.431001 | + | 0.452464i | ||||
\(545\) | −4.45044 | + | 7.70838i | −0.190636 | + | 0.330191i | ||||
\(546\) | −0.253114 | + | 0.147662i | −0.0108323 | + | 0.00631933i | ||||
\(547\) | 35.4828 | − | 4.67140i | 1.51714 | − | 0.199735i | 0.674523 | − | 0.738254i | \(-0.264349\pi\) |
0.842613 | + | 0.538519i | \(0.181016\pi\) | |||||||
\(548\) | −6.89638 | + | 2.57068i | −0.294599 | + | 0.109814i | ||||
\(549\) | 8.76998 | − | 39.8002i | 0.374293 | − | 1.69863i | ||||
\(550\) | −85.0550 | + | 15.3370i | −3.62676 | + | 0.653973i | ||||
\(551\) | 17.6728 | + | 4.73540i | 0.752885 | + | 0.201735i | ||||
\(552\) | −2.18732 | − | 1.35610i | −0.0930984 | − | 0.0577196i | ||||
\(553\) | −1.65148 | + | 0.442512i | −0.0702279 | + | 0.0188175i | ||||
\(554\) | −28.2835 | + | 13.3223i | −1.20165 | + | 0.566009i | ||||
\(555\) | 1.95296 | + | 1.63660i | 0.0828986 | + | 0.0694697i | ||||
\(556\) | 3.61149 | + | 6.80846i | 0.153161 | + | 0.288743i | ||||
\(557\) | 8.33216 | + | 3.45129i | 0.353045 | + | 0.146236i | 0.552156 | − | 0.833741i | \(-0.313805\pi\) |
−0.199111 | + | 0.979977i | \(0.563805\pi\) | |||||||
\(558\) | −3.67891 | − | 16.1992i | −0.155741 | − | 0.685767i | ||||
\(559\) | − | 0.893231i | − | 0.0377796i | ||||||
\(560\) | 16.6038 | + | 14.7485i | 0.701641 | + | 0.623238i | ||||
\(561\) | −18.5373 | − | 0.797450i | −0.782643 | − | 0.0336684i | ||||
\(562\) | −13.5597 | − | 12.3290i | −0.571981 | − | 0.520068i | ||||
\(563\) | 13.4358 | − | 10.3096i | 0.566249 | − | 0.434499i | −0.285552 | − | 0.958363i | \(-0.592177\pi\) |
0.851801 | + | 0.523865i | \(0.175510\pi\) | |||||||
\(564\) | 20.5021 | − | 3.79246i | 0.863294 | − | 0.159691i | ||||
\(565\) | 1.95734 | − | 2.55085i | 0.0823457 | − | 0.107315i | ||||
\(566\) | 8.05477 | − | 11.5986i | 0.338567 | − | 0.487527i | ||||
\(567\) | −6.48122 | − | 9.20582i | −0.272186 | − | 0.386608i | ||||
\(568\) | −5.14742 | − | 3.85567i | −0.215981 | − | 0.161780i | ||||
\(569\) | −8.29489 | − | 2.22261i | −0.347740 | − | 0.0931766i | 0.0807216 | − | 0.996737i | \(-0.474278\pi\) |
−0.428461 | + | 0.903560i | \(0.640944\pi\) | |||||||
\(570\) | −13.6741 | + | 33.4380i | −0.572747 | + | 1.40056i | ||||
\(571\) | 5.23465 | − | 39.7611i | 0.219063 | − | 1.66395i | −0.429707 | − | 0.902968i | \(-0.641383\pi\) |
0.648771 | − | 0.760984i | \(-0.275283\pi\) | |||||||
\(572\) | −0.647875 | + | 0.461159i | −0.0270890 | + | 0.0192820i | ||||
\(573\) | 1.67320 | + | 0.778919i | 0.0698988 | + | 0.0325398i | ||||
\(574\) | 12.6865 | + | 6.54193i | 0.529525 | + | 0.273055i | ||||
\(575\) | −7.72161 | −0.322013 | ||||||||
\(576\) | −1.50553 | + | 23.9527i | −0.0627306 | + | 0.998030i | ||||
\(577\) | −25.1637 | −1.04758 | −0.523790 | − | 0.851847i | \(-0.675482\pi\) | ||||
−0.523790 | + | 0.851847i | \(0.675482\pi\) | |||||||
\(578\) | −13.0241 | − | 6.71600i | −0.541731 | − | 0.279349i | ||||
\(579\) | 2.12976 | + | 24.1649i | 0.0885098 | + | 1.00426i | ||||
\(580\) | 39.8174 | − | 28.3421i | 1.65333 | − | 1.17684i | ||||
\(581\) | −2.00722 | + | 15.2463i | −0.0832735 | + | 0.632525i | ||||
\(582\) | 17.5909 | + | 22.7122i | 0.729168 | + | 0.941449i | ||||
\(583\) | −8.90259 | − | 2.38544i | −0.368707 | − | 0.0987949i | ||||
\(584\) | 17.9194 | − | 23.9228i | 0.741509 | − | 0.989934i | ||||
\(585\) | −1.25372 | + | 0.222722i | −0.0518350 | + | 0.00920843i | ||||
\(586\) | 11.2807 | − | 16.2438i | 0.465999 | − | 0.671027i | ||||
\(587\) | −7.66645 | + | 9.99111i | −0.316428 | + | 0.412377i | −0.924305 | − | 0.381654i | \(-0.875355\pi\) |
0.607877 | + | 0.794031i | \(0.292021\pi\) | |||||||
\(588\) | −12.2227 | − | 14.3211i | −0.504058 | − | 0.590592i | ||||
\(589\) | −10.3222 | + | 7.92048i | −0.425318 | + | 0.326358i | ||||
\(590\) | −43.0799 | − | 39.1699i | −1.77357 | − | 1.61260i | ||||
\(591\) | 6.37192 | − | 10.0161i | 0.262106 | − | 0.412006i | ||||
\(592\) | −0.0783223 | − | 1.32352i | −0.00321903 | − | 0.0543962i | ||||
\(593\) | − | 2.54265i | − | 0.104414i | −0.998636 | − | 0.0522070i | \(-0.983374\pi\) | ||
0.998636 | − | 0.0522070i | \(-0.0166255\pi\) | |||||||
\(594\) | −19.7744 | − | 23.2910i | −0.811355 | − | 0.955640i | ||||
\(595\) | 13.2159 | + | 5.47420i | 0.541798 | + | 0.224420i | ||||
\(596\) | 1.65690 | + | 3.12363i | 0.0678693 | + | 0.127949i | ||||
\(597\) | −2.69839 | + | 15.3609i | −0.110438 | + | 0.628679i | ||||
\(598\) | −0.0642757 | + | 0.0302756i | −0.00262843 | + | 0.00123806i | ||||
\(599\) | 6.10924 | − | 1.63697i | 0.249617 | − | 0.0668846i | −0.131841 | − | 0.991271i | \(-0.542089\pi\) |
0.381458 | + | 0.924386i | \(0.375422\pi\) | |||||||
\(600\) | 34.0292 | + | 63.4597i | 1.38924 | + | 2.59073i | ||||
\(601\) | −3.35871 | − | 0.899964i | −0.137005 | − | 0.0367103i | 0.189665 | − | 0.981849i | \(-0.439260\pi\) |
−0.326670 | + | 0.945139i | \(0.605926\pi\) | |||||||
\(602\) | −16.2614 | + | 2.93224i | −0.662765 | + | 0.119509i | ||||
\(603\) | 35.4013 | − | 11.2119i | 1.44165 | − | 0.456584i | ||||
\(604\) | 17.2503 | − | 6.43020i | 0.701907 | − | 0.261641i | ||||
\(605\) | −27.6648 | + | 3.64214i | −1.12473 | + | 0.148074i | ||||
\(606\) | 20.0755 | + | 11.4702i | 0.815510 | + | 0.465944i | ||||
\(607\) | −14.8432 | + | 25.7092i | −0.602468 | + | 1.04351i | 0.389978 | + | 0.920824i | \(0.372483\pi\) |
−0.992446 | + | 0.122681i | \(0.960851\pi\) | |||||||
\(608\) | 17.5363 | − | 6.76961i | 0.711190 | − | 0.274544i | ||||
\(609\) | 10.5783 | − | 5.51534i | 0.428654 | − | 0.223493i | ||||
\(610\) | −39.0799 | + | 75.7863i | −1.58230 | + | 3.06850i | ||||
\(611\) | 0.220274 | − | 0.531788i | 0.00891132 | − | 0.0215138i | ||||
\(612\) | 4.13557 | + | 14.8954i | 0.167170 | + | 0.602112i | ||||
\(613\) | 33.6841 | − | 13.9524i | 1.36049 | − | 0.563533i | 0.421297 | − | 0.906923i | \(-0.361575\pi\) |
0.939193 | + | 0.343390i | \(0.111575\pi\) | |||||||
\(614\) | −11.1896 | − | 13.2309i | −0.451574 | − | 0.533956i | ||||
\(615\) | 41.9329 | + | 45.7029i | 1.69090 | + | 1.84292i | ||||
\(616\) | 10.5223 | + | 10.2808i | 0.423954 | + | 0.414226i | ||||
\(617\) | 14.8886 | − | 3.98938i | 0.599391 | − | 0.160606i | 0.0536496 | − | 0.998560i | \(-0.482915\pi\) |
0.545742 | + | 0.837953i | \(0.316248\pi\) | |||||||
\(618\) | −5.28962 | − | 12.6091i | −0.212780 | − | 0.507214i | ||||
\(619\) | 19.8516 | − | 25.8711i | 0.797904 | − | 1.03985i | −0.200288 | − | 0.979737i | \(-0.564188\pi\) |
0.998192 | − | 0.0601114i | \(-0.0191456\pi\) | |||||||
\(620\) | −1.24731 | + | 34.7332i | −0.0500930 | + | 1.39492i | ||||
\(621\) | −1.36940 | − | 2.36137i | −0.0549520 | − | 0.0947584i | ||||
\(622\) | 34.7655 | + | 7.56634i | 1.39397 | + | 0.303383i | ||||
\(623\) | −3.01427 | + | 1.74029i | −0.120764 | + | 0.0697232i | ||||
\(624\) | 0.532082 | + | 0.394822i | 0.0213003 | + | 0.0158055i | ||||
\(625\) | 101.805 | + | 58.7770i | 4.07219 | + | 2.35108i | ||||
\(626\) | 4.79973 | + | 4.36411i | 0.191836 | + | 0.174425i | ||||
\(627\) | −10.0995 | + | 21.6946i | −0.403333 | + | 0.866400i | ||||
\(628\) | 3.15808 | − | 10.2932i | 0.126021 | − | 0.410743i | ||||
\(629\) | −0.326810 | − | 0.788989i | −0.0130308 | − | 0.0314590i | ||||
\(630\) | 8.17032 | + | 22.0930i | 0.325513 | + | 0.880208i | ||||
\(631\) | −12.7370 | − | 12.7370i | −0.507050 | − | 0.507050i | 0.406569 | − | 0.913620i | \(-0.366725\pi\) |
−0.913620 | + | 0.406569i | \(0.866725\pi\) | |||||||
\(632\) | 2.38877 | + | 3.03940i | 0.0950201 | + | 0.120901i | ||||
\(633\) | 1.90336 | − | 6.05020i | 0.0756517 | − | 0.240474i | ||||
\(634\) | −33.5881 | − | 12.0781i | −1.33396 | − | 0.479684i | ||||
\(635\) | −0.821128 | + | 6.23708i | −0.0325855 | + | 0.247511i | ||||
\(636\) | 0.399217 | + | 7.66859i | 0.0158300 | + | 0.304080i | ||||
\(637\) | −0.515335 | + | 0.0678451i | −0.0204183 | + | 0.00268812i | ||||
\(638\) | 27.2372 | − | 17.5005i | 1.07833 | − | 0.692853i | ||||
\(639\) | −2.89080 | − | 6.17864i | −0.114358 | − | 0.244423i | ||||
\(640\) | 15.8901 | − | 47.6331i | 0.628111 | − | 1.88287i | ||||
\(641\) | 9.54719 | + | 16.5362i | 0.377091 | + | 0.653141i | 0.990638 | − | 0.136518i | \(-0.0435910\pi\) |
−0.613546 | + | 0.789659i | \(0.710258\pi\) | |||||||
\(642\) | 8.31803 | + | 14.2584i | 0.328287 | + | 0.562733i | ||||
\(643\) | −15.0345 | − | 19.5933i | −0.592902 | − | 0.772685i | 0.396477 | − | 0.918045i | \(-0.370233\pi\) |
−0.989379 | + | 0.145360i | \(0.953566\pi\) | |||||||
\(644\) | 0.762171 | + | 1.07076i | 0.0300338 | + | 0.0421940i | ||||
\(645\) | −70.7183 | − | 12.4228i | −2.78453 | − | 0.489148i | ||||
\(646\) | 9.24500 | − | 7.81862i | 0.363740 | − | 0.307620i | ||||
\(647\) | 23.5792 | − | 23.5792i | 0.926995 | − | 0.926995i | −0.0705153 | − | 0.997511i | \(-0.522464\pi\) |
0.997511 | + | 0.0705153i | \(0.0224643\pi\) | |||||||
\(648\) | −13.3718 | + | 21.6609i | −0.525295 | + | 0.850920i | ||||
\(649\) | −27.2724 | − | 27.2724i | −1.07053 | − | 1.07053i | ||||
\(650\) | 1.98101 | + | 0.165596i | 0.0777016 | + | 0.00649519i | ||||
\(651\) | −1.46779 | + | 8.35557i | −0.0575273 | + | 0.327481i | ||||
\(652\) | −22.9030 | + | 5.26372i | −0.896951 | + | 0.206143i | ||||
\(653\) | 30.1532 | − | 23.1373i | 1.17998 | − | 0.905434i | 0.183006 | − | 0.983112i | \(-0.441417\pi\) |
0.996979 | + | 0.0776774i | \(0.0247504\pi\) | |||||||
\(654\) | 4.75067 | + | 1.25000i | 0.185766 | + | 0.0488790i | ||||
\(655\) | −71.4508 | + | 41.2521i | −2.79181 | + | 1.61185i | ||||
\(656\) | 2.31499 | − | 32.1907i | 0.0903852 | − | 1.25684i | ||||
\(657\) | 28.7155 | − | 13.4351i | 1.12030 | − | 0.524153i | ||||
\(658\) | −10.4044 | − | 2.26440i | −0.405605 | − | 0.0882756i | ||||
\(659\) | 4.62977 | + | 35.1666i | 0.180350 | + | 1.36990i | 0.806980 | + | 0.590579i | \(0.201101\pi\) |
−0.626630 | + | 0.779317i | \(0.715566\pi\) | |||||||
\(660\) | 27.5001 | + | 57.7068i | 1.07044 | + | 2.24624i | ||||
\(661\) | 44.7054 | + | 5.88558i | 1.73884 | + | 0.228923i | 0.932155 | − | 0.362060i | \(-0.117926\pi\) |
0.806685 | + | 0.590982i | \(0.201260\pi\) | |||||||
\(662\) | 11.8688 | − | 5.59051i | 0.461293 | − | 0.217281i | ||||
\(663\) | 0.407103 | + | 0.128072i | 0.0158106 | + | 0.00497391i | ||||
\(664\) | 33.4785 | − | 9.38833i | 1.29922 | − | 0.364338i | ||||
\(665\) | 13.0457 | − | 13.0457i | 0.505889 | − | 0.505889i | ||||
\(666\) | 0.587738 | − | 1.27755i | 0.0227744 | − | 0.0495039i | ||||
\(667\) | 2.67229 | − | 1.10690i | 0.103471 | − | 0.0428593i | ||||
\(668\) | −7.96699 | + | 9.64528i | −0.308252 | + | 0.373187i | ||||
\(669\) | −22.7046 | − | 10.5696i | −0.877809 | − | 0.408644i | ||||
\(670\) | −77.6061 | + | 3.68922i | −2.99819 | + | 0.142527i | ||||
\(671\) | −28.2416 | + | 48.9158i | −1.09025 | + | 1.88837i | ||||
\(672\) | 5.44112 | − | 10.9827i | 0.209896 | − | 0.423668i | ||||
\(673\) | 10.1138 | + | 17.5177i | 0.389859 | + | 0.675256i | 0.992430 | − | 0.122809i | \(-0.0391903\pi\) |
−0.602571 | + | 0.798065i | \(0.705857\pi\) | |||||||
\(674\) | 8.71433 | + | 13.5627i | 0.335663 | + | 0.522415i | ||||
\(675\) | 0.146859 | + | 76.3756i | 0.00565261 | + | 2.93970i | ||||
\(676\) | −24.3453 | + | 9.07491i | −0.936359 | + | 0.349035i | ||||
\(677\) | −19.6052 | − | 15.0436i | −0.753488 | − | 0.578172i | 0.158998 | − | 0.987279i | \(-0.449174\pi\) |
−0.912486 | + | 0.409107i | \(0.865840\pi\) | |||||||
\(678\) | −1.64247 | − | 0.671673i | −0.0630788 | − | 0.0257954i | ||||
\(679\) | −3.79716 | − | 14.1712i | −0.145722 | − | 0.543841i | ||||
\(680\) | −0.375384 | − | 32.3414i | −0.0143953 | − | 1.24024i | ||||
\(681\) | −1.89413 | + | 1.73788i | −0.0725831 | + | 0.0665958i | ||||
\(682\) | −1.91780 | + | 22.9425i | −0.0734362 | + | 0.878513i | ||||
\(683\) | 1.02439 | + | 2.47310i | 0.0391973 | + | 0.0946307i | 0.942266 | − | 0.334866i | \(-0.108691\pi\) |
−0.903068 | + | 0.429497i | \(0.858691\pi\) | |||||||
\(684\) | 19.7899 | + | 2.42402i | 0.756687 | + | 0.0926845i | ||||
\(685\) | 15.0895 | + | 6.25029i | 0.576541 | + | 0.238811i | ||||
\(686\) | 6.69635 | + | 20.9551i | 0.255668 | + | 0.800069i | ||||
\(687\) | −12.9874 | − | 24.9097i | −0.495502 | − | 0.950363i | ||||
\(688\) | 20.5590 | + | 31.1952i | 0.783806 | + | 1.18931i | ||||
\(689\) | 0.183592 | + | 0.105997i | 0.00699429 | + | 0.00403815i | ||||
\(690\) | 1.50303 | + | 5.50986i | 0.0572193 | + | 0.209757i | ||||
\(691\) | −0.691451 | − | 5.25209i | −0.0263040 | − | 0.199799i | 0.973247 | − | 0.229761i | \(-0.0737946\pi\) |
−0.999551 | + | 0.0299624i | \(0.990461\pi\) | |||||||
\(692\) | −8.47139 | + | 7.88405i | −0.322034 | + | 0.299707i | ||||
\(693\) | 4.71109 | + | 14.8752i | 0.178960 | + | 0.565061i | ||||
\(694\) | 14.8897 | − | 21.4407i | 0.565204 | − | 0.813879i | ||||
\(695\) | 4.42658 | − | 16.5202i | 0.167910 | − | 0.626648i | ||||
\(696\) | −20.8738 | − | 17.0840i | −0.791220 | − | 0.647566i | ||||
\(697\) | −5.38039 | − | 20.0799i | −0.203797 | − | 0.760580i | ||||
\(698\) | 28.2310 | + | 10.1517i | 1.06856 | + | 0.384249i | ||||
\(699\) | 31.4767 | + | 5.52938i | 1.19056 | + | 0.209140i | ||||
\(700\) | −3.48843 | − | 36.6082i | −0.131850 | − | 1.38366i | ||||
\(701\) | 12.4676 | − | 30.0995i | 0.470895 | − | 1.13684i | −0.492873 | − | 0.870101i | \(-0.664053\pi\) |
0.963768 | − | 0.266740i | \(-0.0859466\pi\) | |||||||
\(702\) | 0.300683 | + | 0.635186i | 0.0113485 | + | 0.0239735i | ||||
\(703\) | −1.10143 | −0.0415411 | ||||||||
\(704\) | 12.0122 | − | 31.0173i | 0.452725 | − | 1.16901i | ||||
\(705\) | −39.0389 | − | 24.8353i | −1.47029 | − | 0.935353i | ||||
\(706\) | −0.243634 | − | 5.12505i | −0.00916927 | − | 0.192884i | ||||
\(707\) | −7.18818 | − | 9.36782i | −0.270339 | − | 0.352313i | ||||
\(708\) | −14.5986 | + | 28.6268i | −0.548651 | + | 1.07586i | ||||
\(709\) | 13.4426 | + | 10.3149i | 0.504847 | + | 0.387383i | 0.829549 | − | 0.558433i | \(-0.188597\pi\) |
−0.324702 | + | 0.945816i | \(0.605264\pi\) | |||||||
\(710\) | 2.53268 | + | 14.0456i | 0.0950499 | + | 0.527122i | ||||
\(711\) | 0.717180 | + | 4.03706i | 0.0268964 | + | 0.151402i | ||||
\(712\) | 6.29865 | + | 4.71800i | 0.236052 | + | 0.176814i | ||||
\(713\) | −0.532363 | + | 1.98681i | −0.0199372 | + | 0.0744065i | ||||
\(714\) | 0.995165 | − | 7.83180i | 0.0372431 | − | 0.293098i | ||||
\(715\) | 1.74966 | + | 0.230348i | 0.0654337 | + | 0.00861452i | ||||
\(716\) | 5.38777 | + | 23.4428i | 0.201351 | + | 0.876098i | ||||
\(717\) | −35.0096 | + | 3.08555i | −1.30746 | + | 0.115232i | ||||
\(718\) | −3.28501 | + | 1.04975i | −0.122596 | + | 0.0391763i | ||||
\(719\) | 33.2500i | 1.24002i | 0.784596 | + | 0.620008i | \(0.212871\pi\) | ||||
−0.784596 | + | 0.620008i | \(0.787129\pi\) | |||||||
\(720\) | 38.6587 | − | 36.6346i | 1.44072 | − | 1.36529i | ||||
\(721\) | 6.98310i | 0.260064i | ||||||||
\(722\) | 3.42567 | + | 10.7201i | 0.127490 | + | 0.398959i | ||||
\(723\) | −5.87075 | + | 12.6110i | −0.218335 | + | 0.469006i | ||||
\(724\) | 18.0680 | − | 28.8512i | 0.671490 | − | 1.07225i | ||||
\(725\) | −80.2373 | − | 10.5634i | −2.97994 | − | 0.392316i | ||||
\(726\) | 5.95739 | + | 14.2009i | 0.221099 | + | 0.527046i | ||||
\(727\) | 5.85311 | − | 21.8441i | 0.217080 | − | 0.810153i | −0.768344 | − | 0.640037i | \(-0.778919\pi\) |
0.985424 | − | 0.170116i | \(-0.0544142\pi\) | |||||||
\(728\) | −0.172575 | − | 0.291054i | −0.00639605 | − | 0.0107872i | ||||
\(729\) | −23.3306 | + | 13.5898i | −0.864096 | + | 0.503327i | ||||
\(730\) | −65.2774 | + | 11.7707i | −2.41603 | + | 0.435655i | ||||
\(731\) | 19.0918 | + | 14.6497i | 0.706136 | + | 0.541837i | ||||
\(732\) | 46.0280 | + | 9.80030i | 1.70124 | + | 0.362230i | ||||
\(733\) | 14.0686 | + | 18.3346i | 0.519636 | + | 0.677203i | 0.977285 | − | 0.211930i | \(-0.0679749\pi\) |
−0.457649 | + | 0.889133i | \(0.651308\pi\) | |||||||
\(734\) | −1.07372 | + | 0.0510424i | −0.0396319 | + | 0.00188401i | ||||
\(735\) | −1.79575 | + | 41.7433i | −0.0662371 | + | 1.53973i | ||||
\(736\) | 1.54793 | − | 2.53675i | 0.0570575 | − | 0.0935057i | ||||
\(737\) | −51.4652 | −1.89575 | ||||||||
\(738\) | 18.2437 | − | 28.9650i | 0.671559 | − | 1.06622i | ||||
\(739\) | −10.7055 | + | 25.8453i | −0.393807 | + | 0.950734i | 0.595296 | + | 0.803507i | \(0.297035\pi\) |
−0.989103 | + | 0.147227i | \(0.952965\pi\) | |||||||
\(740\) | −1.87373 | + | 2.26844i | −0.0688796 | + | 0.0833895i | ||||
\(741\) | 0.353535 | − | 0.421876i | 0.0129874 | − | 0.0154980i | ||||
\(742\) | 1.32700 | − | 3.69028i | 0.0487159 | − | 0.135474i | ||||
\(743\) | −12.8588 | − | 47.9896i | −0.471742 | − | 1.76057i | −0.633507 | − | 0.773737i | \(-0.718385\pi\) |
0.161765 | − | 0.986829i | \(-0.448281\pi\) | |||||||
\(744\) | 18.6746 | − | 4.38068i | 0.684644 | − | 0.160604i | ||||
\(745\) | 2.03086 | − | 7.57925i | 0.0744048 | − | 0.277682i | ||||
\(746\) | 16.1000 | + | 11.1808i | 0.589463 | + | 0.409357i | ||||
\(747\) | 36.0152 | + | 7.93595i | 1.31773 | + | 0.290361i | ||||
\(748\) | 0.768891 | − | 21.4110i | 0.0281134 | − | 0.782863i | ||||
\(749\) | −1.10036 | − | 8.35807i | −0.0402063 | − | 0.305397i | ||||
\(750\) | 26.8298 | − | 101.968i | 0.979687 | − | 3.72333i | ||||
\(751\) | 6.98357 | + | 4.03197i | 0.254834 | + | 0.147129i | 0.621976 | − | 0.783036i | \(-0.286330\pi\) |
−0.367142 | + | 0.930165i | \(0.619664\pi\) | |||||||
\(752\) | 4.54704 | + | 23.6421i | 0.165814 | + | 0.862139i | ||||
\(753\) | −6.67399 | + | 10.4909i | −0.243214 | + | 0.382310i | ||||
\(754\) | −0.709325 | + | 0.226670i | −0.0258321 | + | 0.00825483i | ||||
\(755\) | −37.7444 | − | 15.6342i | −1.37366 | − | 0.568988i | ||||
\(756\) | 10.5766 | − | 7.55912i | 0.384667 | − | 0.274923i | ||||
\(757\) | −17.1892 | − | 41.4984i | −0.624752 | − | 1.50828i | −0.846064 | − | 0.533081i | \(-0.821034\pi\) |
0.221312 | − | 0.975203i | \(-0.428966\pi\) | |||||||
\(758\) | 26.4901 | + | 2.21435i | 0.962163 | + | 0.0804287i | ||||
\(759\) | 0.821192 | + | 3.69296i | 0.0298074 | + | 0.134046i | ||||
\(760\) | −38.7220 | − | 15.5151i | −1.40459 | − | 0.562793i | ||||
\(761\) | 11.4690 | + | 42.8027i | 0.415749 | + | 1.55160i | 0.783330 | + | 0.621606i | \(0.213519\pi\) |
−0.367581 | + | 0.929991i | \(0.619814\pi\) | |||||||
\(762\) | 3.44015 | − | 0.468698i | 0.124624 | − | 0.0169791i | ||||
\(763\) | −1.99031 | − | 1.52722i | −0.0720539 | − | 0.0552889i | ||||
\(764\) | −0.885684 | + | 1.93837i | −0.0320429 | + | 0.0701279i | ||||
\(765\) | 15.8015 | − | 30.4497i | 0.571306 | − | 1.10091i | ||||
\(766\) | 20.7189 | − | 13.3123i | 0.748604 | − | 0.480995i | ||||
\(767\) | 0.443566 | + | 0.768279i | 0.0160162 | + | 0.0277410i | ||||
\(768\) | −27.6699 | − | 1.54212i | −0.998451 | − | 0.0556464i | ||||
\(769\) | 15.6506 | − | 27.1076i | 0.564374 | − | 0.977524i | −0.432734 | − | 0.901522i | \(-0.642451\pi\) |
0.997108 | − | 0.0760022i | \(-0.0242156\pi\) | |||||||
\(770\) | −1.55016 | − | 32.6091i | −0.0558640 | − | 1.17515i | ||||
\(771\) | −3.85305 | − | 43.7178i | −0.138764 | − | 1.57446i | ||||
\(772\) | −27.8850 | + | 2.65719i | −1.00360 | + | 0.0956344i | ||||
\(773\) | 32.9033 | − | 13.6290i | 1.18345 | − | 0.490200i | 0.297832 | − | 0.954618i | \(-0.403737\pi\) |
0.885616 | + | 0.464418i | \(0.153737\pi\) | |||||||
\(774\) | 3.65699 | + | 39.4578i | 0.131448 | + | 1.41828i | ||||
\(775\) | 40.6946 | − | 40.6946i | 1.46179 | − | 1.46179i | ||||
\(776\) | −26.0809 | + | 20.4979i | −0.936251 | + | 0.735831i | ||||
\(777\) | −0.529179 | + | 0.485527i | −0.0189842 | + | 0.0174182i | ||||
\(778\) | −9.75189 | − | 20.7035i | −0.349622 | − | 0.742256i | ||||
\(779\) | −26.5819 | − | 3.49957i | −0.952395 | − | 0.125385i | ||||
\(780\) | −0.267445 | − | 1.44581i | −0.00957605 | − | 0.0517683i | ||||
\(781\) | 1.23400 | + | 9.37313i | 0.0441558 | + | 0.335397i | ||||
\(782\) | 0.407065 | − | 1.87036i | 0.0145566 | − | 0.0668841i | ||||
\(783\) | −10.9993 | − | 26.4110i | −0.393084 | − | 0.943851i | ||||
\(784\) | 16.4360 | − | 14.2306i | 0.587000 | − | 0.508236i | ||||
\(785\) | −20.6920 | + | 11.9465i | −0.738529 | + | 0.426390i | ||||
\(786\) | 32.3422 | + | 32.0518i | 1.15361 | + | 1.14325i | ||||
\(787\) | −1.16964 | + | 0.897494i | −0.0416930 | + | 0.0319922i | −0.629398 | − | 0.777083i | \(-0.716698\pi\) |
0.587705 | + | 0.809076i | \(0.300032\pi\) | |||||||
\(788\) | 11.6175 | + | 7.27540i | 0.413856 | + | 0.259175i | ||||
\(789\) | −31.2957 | + | 11.4134i | −1.11416 | + | 0.406329i | ||||
\(790\) | 0.714617 | − | 8.54891i | 0.0254249 | − | 0.304157i | ||||
\(791\) | 0.640802 | + | 0.640802i | 0.0227843 | + | 0.0227843i | ||||
\(792\) | 26.7314 | − | 23.0238i | 0.949858 | − | 0.818116i | ||||
\(793\) | 0.918658 | − | 0.918658i | 0.0326225 | − | 0.0326225i | ||||
\(794\) | 30.4877 | + | 36.0497i | 1.08197 | + | 1.27936i | ||||
\(795\) | 10.9453 | − | 13.0610i | 0.388188 | − | 0.463227i | ||||
\(796\) | −17.7589 | − | 2.98988i | −0.629446 | − | 0.105973i | ||||
\(797\) | −21.0559 | − | 27.4405i | −0.745837 | − | 0.971994i | −0.999988 | − | 0.00482944i | \(-0.998463\pi\) |
0.254151 | − | 0.967165i | \(-0.418204\pi\) | |||||||
\(798\) | −8.84087 | − | 5.05126i | −0.312964 | − | 0.178813i | ||||
\(799\) | 7.75372 | + | 13.4298i | 0.274307 | + | 0.475113i | ||||
\(800\) | −72.9962 | + | 39.8126i | −2.58081 | + | 1.40759i | ||||
\(801\) | 3.53733 | + | 7.56051i | 0.124985 | + | 0.267137i | ||||
\(802\) | 8.08808 | + | 12.5880i | 0.285600 | + | 0.444498i | ||||
\(803\) | −43.5620 | + | 5.73504i | −1.53727 | + | 0.202385i | ||||
\(804\) | 13.2361 | + | 40.7850i | 0.466803 | + | 1.43838i | ||||
\(805\) | 0.380703 | − | 2.89172i | 0.0134180 | − | 0.101920i | ||||
\(806\) | 0.179188 | − | 0.498306i | 0.00631164 | − | 0.0175521i | ||||
\(807\) | −34.8896 | + | 7.75831i | −1.22817 | + | 0.273105i | ||||
\(808\) | −13.0798 | + | 23.2746i | −0.460145 | + | 0.818796i | ||||
\(809\) | −1.44428 | − | 1.44428i | −0.0507784 | − | 0.0507784i | 0.681262 | − | 0.732040i | \(-0.261432\pi\) |
−0.732040 | + | 0.681262i | \(0.761432\pi\) | |||||||
\(810\) | 54.4703 | − | 14.9715i | 1.91389 | − | 0.526044i | ||||
\(811\) | 0.0225622 | + | 0.0544699i | 0.000792266 | + | 0.00191270i | 0.924275 | − | 0.381727i | \(-0.124671\pi\) |
−0.923483 | + | 0.383640i | \(0.874671\pi\) | |||||||
\(812\) | 6.45508 | + | 12.1693i | 0.226529 | + | 0.427058i | ||||
\(813\) | 16.2454 | + | 23.1692i | 0.569751 | + | 0.812580i | ||||
\(814\) | −1.31113 | + | 1.44201i | −0.0459551 | + | 0.0505424i | ||||
\(815\) | 45.1635 | + | 26.0751i | 1.58201 | + | 0.913372i | ||||
\(816\) | −17.1654 | + | 4.89728i | −0.600911 | + | 0.171439i | ||||
\(817\) | 26.8789 | − | 15.5185i | 0.940373 | − | 0.542925i | ||||
\(818\) | −8.07114 | + | 37.0850i | −0.282201 | + | 1.29665i | ||||
\(819\) | −0.0161144 | − | 0.358534i | −0.000563084 | − | 0.0125282i | ||||
\(820\) | −52.4282 | + | 48.7932i | −1.83087 | + | 1.70393i | ||||
\(821\) | 4.29003 | − | 5.59088i | 0.149723 | − | 0.195123i | −0.712470 | − | 0.701702i | \(-0.752424\pi\) |
0.862193 | + | 0.506579i | \(0.169090\pi\) | |||||||
\(822\) | 1.13625 | − | 8.94213i | 0.0396313 | − | 0.311893i | ||||
\(823\) | 39.0630 | − | 10.4669i | 1.36165 | − | 0.364853i | 0.497229 | − | 0.867620i | \(-0.334351\pi\) |
0.864422 | + | 0.502766i | \(0.167684\pi\) | |||||||
\(824\) | 14.5161 | − | 6.21110i | 0.505691 | − | 0.216374i | ||||
\(825\) | 31.7652 | − | 100.972i | 1.10592 | − | 3.51539i | ||||
\(826\) | 12.5305 | − | 10.5972i | 0.435993 | − | 0.368725i | ||||
\(827\) | 2.55963 | − | 1.06023i | 0.0890070 | − | 0.0368679i | −0.337736 | − | 0.941241i | \(-0.609661\pi\) |
0.426743 | + | 0.904373i | \(0.359661\pi\) | |||||||
\(828\) | 2.71538 | − | 1.60055i | 0.0943660 | − | 0.0556231i | ||||
\(829\) | −20.2938 | + | 48.9935i | −0.704832 | + | 1.70161i | 0.00769626 | + | 0.999970i | \(0.497550\pi\) |
−0.712528 | + | 0.701644i | \(0.752450\pi\) | |||||||
\(830\) | −68.5790 | − | 35.3634i | −2.38041 | − | 1.22748i | ||||
\(831\) | 1.64569 | − | 38.2551i | 0.0570883 | − | 1.32705i | ||||
\(832\) | −0.451530 | + | 0.617616i | −0.0156540 | + | 0.0214120i | ||||
\(833\) | 7.00177 | − | 12.1274i | 0.242597 | − | 0.420190i | ||||
\(834\) | −9.43902 | + | 0.0425679i | −0.326846 | + | 0.00147401i | ||||
\(835\) | 27.5244 | − | 3.62366i | 0.952522 | − | 0.125402i | ||||
\(836\) | −25.1329 | − | 11.4838i | −0.869241 | − | 0.397175i | ||||
\(837\) | 19.6619 | + | 5.22790i | 0.679616 | + | 0.180703i | ||||
\(838\) | −4.53567 | − | 25.1536i | −0.156682 | − | 0.868918i | ||||
\(839\) | −33.3576 | − | 8.93815i | −1.15163 | − | 0.308579i | −0.368014 | − | 0.929820i | \(-0.619962\pi\) |
−0.783620 | + | 0.621241i | \(0.786629\pi\) | |||||||
\(840\) | −25.4433 | + | 9.61508i | −0.877876 | + | 0.331752i | ||||
\(841\) | 1.27091 | − | 0.340538i | 0.0438244 | − | 0.0117427i | ||||
\(842\) | 4.75404 | + | 10.0929i | 0.163835 | + | 0.347825i | ||||
\(843\) | 21.0870 | − | 7.69036i | 0.726276 | − | 0.264870i | ||||
\(844\) | 7.00159 | + | 2.14817i | 0.241005 | + | 0.0739432i | ||||
\(845\) | 53.2684 | + | 22.0645i | 1.83249 | + | 0.759042i | ||||
\(846\) | −7.55322 | + | 24.3932i | −0.259685 | + | 0.838654i | ||||
\(847\) | − | 7.86465i | − | 0.270233i | ||||||
\(848\) | −8.85143 | + | 0.523804i | −0.303960 | + | 0.0179875i | ||||
\(849\) | 7.99570 | + | 15.3356i | 0.274412 | + | 0.526316i | ||||
\(850\) | −36.0295 | + | 39.6260i | −1.23580 | + | 1.35916i | ||||
\(851\) | −0.138143 | + | 0.106001i | −0.00473549 | + | 0.00363367i | ||||
\(852\) | 7.11062 | − | 3.38855i | 0.243606 | − | 0.116090i | ||||
\(853\) | 21.6322 | − | 28.1917i | 0.740673 | − | 0.965264i | −0.259327 | − | 0.965790i | \(-0.583501\pi\) |
1.00000 | 0.000525544i | \(0.000167286\pi\) | ||||||||
\(854\) | −19.7400 | − | 13.7086i | −0.675490 | − | 0.469099i | ||||
\(855\) | −28.4836 | − | 33.8572i | −0.974119 | − | 1.15789i | ||||
\(856\) | −16.3956 | + | 9.72143i | −0.560389 | + | 0.332272i | ||||
\(857\) | 19.7596 | + | 5.29457i | 0.674976 | + | 0.180859i | 0.579995 | − | 0.814620i | \(-0.303054\pi\) |
0.0949805 | + | 0.995479i | \(0.469721\pi\) | |||||||
\(858\) | −0.131482 | − | 0.965053i | −0.00448872 | − | 0.0329464i | ||||
\(859\) | 2.98592 | − | 22.6803i | 0.101878 | − | 0.773843i | −0.861889 | − | 0.507098i | \(-0.830718\pi\) |
0.963767 | − | 0.266746i | \(-0.0859483\pi\) | |||||||
\(860\) | 13.7648 | − | 81.7582i | 0.469375 | − | 2.78793i | ||||
\(861\) | −14.3139 | + | 10.0364i | −0.487817 | + | 0.342039i | ||||
\(862\) | 25.2495 | − | 48.9655i | 0.860003 | − | 1.66777i | ||||
\(863\) | 37.7370 | 1.28458 | 0.642290 | − | 0.766461i | \(-0.277984\pi\) | ||||
0.642290 | + | 0.766461i | \(0.277984\pi\) | |||||||
\(864\) | −25.1208 | − | 15.2626i | −0.854627 | − | 0.519243i | ||||
\(865\) | 25.6811 | 0.873185 | ||||||||
\(866\) | 3.64349 | − | 7.06569i | 0.123811 | − | 0.240102i | ||||
\(867\) | 14.6948 | − | 10.3034i | 0.499061 | − | 0.349923i | ||||
\(868\) | −9.65997 | − | 1.62635i | −0.327881 | − | 0.0552018i | ||||
\(869\) | 0.741734 | − | 5.63403i | 0.0251616 | − | 0.191121i | ||||
\(870\) | 8.08067 | + | 59.3107i | 0.273960 | + | 2.01082i | ||||
\(871\) | 1.14343 | + | 0.306380i | 0.0387435 | + | 0.0103813i | ||||
\(872\) | −1.40442 | + | 5.49571i | −0.0475595 | + | 0.186108i | ||||
\(873\) | −34.6418 | + | 6.15408i | −1.17245 | + | 0.208284i | ||||
\(874\) | −2.02774 | − | 1.40818i | −0.0685893 | − | 0.0476323i | ||||
\(875\) | −32.7798 | + | 42.7195i | −1.10816 | + | 1.44418i | ||||
\(876\) | 15.7484 | + | 33.0469i | 0.532090 | + | 1.11655i | ||||
\(877\) | −10.0193 | + | 7.68811i | −0.338329 | + | 0.259609i | −0.763926 | − | 0.645304i | \(-0.776731\pi\) |
0.425597 | + | 0.904913i | \(0.360064\pi\) | |||||||
\(878\) | 10.2579 | − | 11.2818i | 0.346186 | − | 0.380742i | ||||
\(879\) | 11.1979 | + | 21.4774i | 0.377697 | + | 0.724415i | ||||
\(880\) | −66.4071 | + | 32.2265i | −2.23858 | + | 1.08635i | ||||
\(881\) | 13.4697i | 0.453805i | 0.973917 | + | 0.226903i | \(0.0728599\pi\) | ||||
−0.973917 | + | 0.226903i | \(0.927140\pi\) | |||||||
\(882\) | 22.4868 | − | 5.10685i | 0.757168 | − | 0.171957i | ||||
\(883\) | 3.92492 | + | 1.62576i | 0.132084 | + | 0.0547111i | 0.447747 | − | 0.894161i | \(-0.352227\pi\) |
−0.315662 | + | 0.948872i | \(0.602227\pi\) | |||||||
\(884\) | −0.144545 | + | 0.471120i | −0.00486159 | + | 0.0158455i | ||||
\(885\) | 66.9947 | − | 24.4327i | 2.25200 | − | 0.821297i | ||||
\(886\) | 23.9192 | + | 50.7811i | 0.803582 | + | 1.70602i | ||||
\(887\) | 8.48131 | − | 2.27256i | 0.284775 | − | 0.0763051i | −0.113604 | − | 0.993526i | \(-0.536240\pi\) |
0.398379 | + | 0.917221i | \(0.369573\pi\) | |||||||
\(888\) | 1.47996 | + | 0.668176i | 0.0496643 | + | 0.0224225i | ||||
\(889\) | −1.71268 | − | 0.458912i | −0.0574416 | − | 0.0153914i | ||||
\(890\) | −3.09912 | − | 17.1869i | −0.103883 | − | 0.576107i | ||||
\(891\) | 36.5120 | − | 8.19278i | 1.22320 | − | 0.274468i | ||||
\(892\) | 12.0184 | − | 26.3029i | 0.402405 | − | 0.880687i | ||||
\(893\) | 19.8294 | − | 2.61058i | 0.663564 | − | 0.0873599i | ||||
\(894\) | −4.33049 | + | 0.0195296i | −0.144833 | + | 0.000653166i | ||||
\(895\) | 26.6897 | − | 46.2278i | 0.892137 | − | 1.54523i | ||||
\(896\) | 12.7260 | + | 6.19271i | 0.425147 | + | 0.206884i | ||||
\(897\) | 0.00373991 | − | 0.0869367i | 0.000124872 | − | 0.00290273i | ||||
\(898\) | −28.9420 | − | 14.9242i | −0.965808 | − | 0.498028i | ||||
\(899\) | −8.24995 | + | 19.9171i | −0.275151 | + | 0.664274i | ||||
\(900\) | −88.1875 | + | 0.795429i | −2.93958 | + | 0.0265143i | ||||
\(901\) | −5.27661 | + | 2.18564i | −0.175789 | + | 0.0728143i | ||||
\(902\) | −36.2246 | + | 30.6357i | −1.20615 | + | 1.02006i | ||||
\(903\) | 6.07309 | − | 19.3045i | 0.202100 | − | 0.642414i | ||||
\(904\) | 0.762102 | − | 1.90202i | 0.0253471 | − | 0.0632603i | ||||
\(905\) | −72.9698 | + | 19.5522i | −2.42560 | + | 0.649937i | ||||
\(906\) | −2.84218 | + | 22.3675i | −0.0944250 | + | 0.743110i | ||||
\(907\) | 7.91355 | − | 10.3131i | 0.262765 | − | 0.342442i | −0.643274 | − | 0.765636i | \(-0.722424\pi\) |
0.906039 | + | 0.423194i | \(0.139091\pi\) | |||||||
\(908\) | −2.02220 | − | 2.17285i | −0.0671092 | − | 0.0721087i | ||||
\(909\) | −23.8633 | + | 15.2456i | −0.791494 | + | 0.505665i | ||||
\(910\) | −0.159686 | + | 0.733719i | −0.00529354 | + | 0.0243225i | ||||
\(911\) | −40.1326 | + | 23.1706i | −1.32965 | + | 0.767675i | −0.985246 | − | 0.171145i | \(-0.945253\pi\) |
−0.344407 | + | 0.938821i | \(0.611920\pi\) | |||||||
\(912\) | −2.63677 | + | 22.8707i | −0.0873123 | + | 0.757326i | ||||
\(913\) | −44.2639 | − | 25.5558i | −1.46492 | − | 0.845773i | ||||
\(914\) | −7.54785 | + | 8.30129i | −0.249661 | + | 0.274582i | ||||
\(915\) | −59.9550 | − | 85.5079i | −1.98205 | − | 2.82680i | ||||
\(916\) | 28.6561 | − | 15.2004i | 0.946823 | − | 0.502234i | ||||
\(917\) | −8.89890 | − | 21.4839i | −0.293868 | − | 0.709459i | ||||
\(918\) | −18.5078 | − | 3.99077i | −0.610849 | − | 0.131715i | ||||
\(919\) | −15.2252 | − | 15.2252i | −0.502234 | − | 0.502234i | 0.409898 | − | 0.912131i | \(-0.365564\pi\) |
−0.912131 | + | 0.409898i | \(0.865564\pi\) | |||||||
\(920\) | −6.34976 | + | 1.78065i | −0.209346 | + | 0.0587064i | ||||
\(921\) | 20.7165 | − | 4.60667i | 0.682632 | − | 0.151795i | ||||
\(922\) | −1.18795 | + | 3.30358i | −0.0391231 | + | 0.108798i | ||||
\(923\) | 0.0283834 | − | 0.215593i | 0.000934250 | − | 0.00709633i | ||||
\(924\) | −17.1373 | + | 5.56166i | −0.563777 | + | 0.182965i | ||||
\(925\) | 4.83027 | − | 0.635917i | 0.158818 | − | 0.0209088i | ||||
\(926\) | 16.0335 | + | 24.9540i | 0.526893 | + | 0.820039i | ||||
\(927\) | 16.6849 | + | 1.43819i | 0.548006 | + | 0.0472365i | ||||
\(928\) | 19.5553 | − | 24.2424i | 0.641935 | − | 0.795795i | ||||
\(929\) | −28.1355 | − | 48.7321i | −0.923096 | − | 1.59885i | −0.794595 | − | 0.607140i | \(-0.792317\pi\) |
−0.128501 | − | 0.991709i | \(-0.541017\pi\) | |||||||
\(930\) | −36.9595 | − | 21.1169i | −1.21195 | − | 0.692450i | ||||
\(931\) | −10.9947 | − | 14.3286i | −0.360338 | − | 0.469602i | ||||
\(932\) | −6.12669 | + | 36.3905i | −0.200686 | + | 1.19201i | ||||
\(933\) | −27.9885 | + | 33.3988i | −0.916302 | + | 1.09343i | ||||
\(934\) | 2.26862 | + | 2.68250i | 0.0742316 | + | 0.0877739i | ||||
\(935\) | −33.6192 | + | 33.6192i | −1.09947 | + | 1.09947i | ||||
\(936\) | −0.730967 | + | 0.352395i | −0.0238924 | + | 0.0115184i | ||||
\(937\) | −6.58034 | − | 6.58034i | −0.214970 | − | 0.214970i | 0.591405 | − | 0.806375i | \(-0.298574\pi\) |
−0.806375 | + | 0.591405i | \(0.798574\pi\) | |||||||
\(938\) | 1.82413 | − | 21.8220i | 0.0595601 | − | 0.712514i | ||||
\(939\) | −7.46419 | + | 2.72216i | −0.243585 | + | 0.0888344i | ||||
\(940\) | 28.3568 | − | 45.2806i | 0.924895 | − | 1.47689i | ||||
\(941\) | −16.4669 | + | 12.6355i | −0.536807 | + | 0.411906i | −0.841268 | − | 0.540618i | \(-0.818190\pi\) |
0.304461 | + | 0.952525i | \(0.401524\pi\) | |||||||
\(942\) | 9.36624 | + | 9.28214i | 0.305168 | + | 0.302428i | ||||
\(943\) | −3.67075 | + | 2.11931i | −0.119536 | + | 0.0690143i | ||||
\(944\) | −33.1742 | − | 16.6221i | −1.07973 | − | 0.541002i | ||||
\(945\) | −28.6097 | − | 3.71059i | −0.930675 | − | 0.120706i | ||||
\(946\) | 11.6793 | − | 53.6635i | 0.379726 | − | 1.74475i | ||||
\(947\) | −2.51381 | − | 19.0943i | −0.0816878 | − | 0.620481i | −0.982499 | − | 0.186269i | \(-0.940360\pi\) |
0.900811 | − | 0.434212i | \(-0.142973\pi\) | |||||||
\(948\) | −4.65560 | + | 0.861189i | −0.151207 | + | 0.0279701i | ||||
\(949\) | 1.00198 | + | 0.131913i | 0.0325255 | + | 0.00428207i | ||||
\(950\) | 29.4340 | + | 62.4890i | 0.954964 | + | 2.02741i | ||||
\(951\) | 32.2117 | − | 29.5546i | 1.04454 | − | 0.958373i | ||||
\(952\) | 9.05131 | + | 1.08491i | 0.293355 | + | 0.0351622i | ||||
\(953\) | 21.2848 | − | 21.2848i | 0.689482 | − | 0.689482i | −0.272635 | − | 0.962117i | \(-0.587895\pi\) |
0.962117 | + | 0.272635i | \(0.0878952\pi\) | |||||||
\(954\) | −8.54399 | − | 3.93068i | −0.276622 | − | 0.127260i | ||||
\(955\) | 4.36931 | − | 1.80983i | 0.141388 | − | 0.0585646i | ||||
\(956\) | −3.84968 | − | 40.3993i | −0.124508 | − | 1.30661i | ||||
\(957\) | 3.48113 | + | 39.4979i | 0.112529 | + | 1.27679i | ||||
\(958\) | 1.33892 | + | 28.1653i | 0.0432585 | + | 0.909981i | ||||
\(959\) | −2.30171 | + | 3.98668i | −0.0743261 | + | 0.128737i | ||||
\(960\) | 42.6177 | + | 44.3379i | 1.37548 | + | 1.43100i | ||||
\(961\) | 7.83476 | + | 13.5702i | 0.252734 | + | 0.437749i | ||||
\(962\) | 0.0377145 | − | 0.0242324i | 0.00121596 | − | 0.000781284i | ||||
\(963\) | −20.1968 | + | 0.907754i | −0.650834 | + | 0.0292520i | ||||
\(964\) | −14.6096 | − | 6.67544i | −0.470544 | − | 0.215002i | ||||
\(965\) | 49.3160 | + | 37.8415i | 1.58754 | + | 1.21816i | ||||
\(966\) | −1.59497 | + | 0.217304i | −0.0513174 | + | 0.00699165i | ||||
\(967\) | −7.08544 | − | 26.4432i | −0.227852 | − | 0.850357i | −0.981242 | − | 0.192782i | \(-0.938249\pi\) |
0.753389 | − | 0.657575i | \(-0.228418\pi\) | |||||||
\(968\) | −16.3486 | + | 6.99520i | −0.525464 | + | 0.224834i | ||||
\(969\) | 3.21888 | + | 14.4755i | 0.103405 | + | 0.465020i | ||||
\(970\) | 73.3577 | + | 6.13208i | 2.35537 | + | 0.196889i | ||||
\(971\) | −6.85568 | − | 16.5511i | −0.220009 | − | 0.531149i | 0.774882 | − | 0.632107i | \(-0.217809\pi\) |
−0.994891 | + | 0.100957i | \(0.967809\pi\) | |||||||
\(972\) | −15.8830 | − | 26.8278i | −0.509446 | − | 0.860502i | ||||
\(973\) | 4.45357 | + | 1.84473i | 0.142775 | + | 0.0591393i | ||||
\(974\) | 40.2038 | − | 12.8474i | 1.28821 | − | 0.411658i | ||||
\(975\) | −1.30684 | + | 2.05424i | −0.0418525 | + | 0.0657882i | ||||
\(976\) | −10.9390 | + | 53.2275i | −0.350147 | + | 1.70377i | ||||
\(977\) | −8.31807 | − | 4.80244i | −0.266119 | − | 0.153644i | 0.361004 | − | 0.932564i | \(-0.382434\pi\) |
−0.627122 | + | 0.778921i | \(0.715767\pi\) | |||||||
\(978\) | 7.32378 | − | 27.8342i | 0.234189 | − | 0.890041i | ||||
\(979\) | −1.50998 | − | 11.4694i | −0.0482592 | − | 0.366565i | ||||
\(980\) | −48.2145 | − | 1.73143i | −1.54016 | − | 0.0553087i | ||||
\(981\) | −4.05893 | + | 4.44096i | −0.129592 | + | 0.141789i | ||||
\(982\) | 15.2237 | + | 10.5722i | 0.485808 | + | 0.337373i | ||||
\(983\) | −3.74798 | + | 13.9877i | −0.119542 | + | 0.446137i | −0.999587 | − | 0.0287541i | \(-0.990846\pi\) |
0.880044 | + | 0.474891i | \(0.157513\pi\) | |||||||
\(984\) | 33.5945 | + | 20.8281i | 1.07095 | + | 0.663975i | ||||
\(985\) | −7.87306 | − | 29.3827i | −0.250857 | − | 0.936209i | ||||
\(986\) | 6.78864 | − | 18.8786i | 0.216194 | − | 0.601217i | ||||
\(987\) | 8.37620 | − | 9.99537i | 0.266617 | − | 0.318156i | ||||
\(988\) | 0.490025 | + | 0.404760i | 0.0155898 | + | 0.0128771i | ||||
\(989\) | 1.87771 | − | 4.53318i | 0.0597076 | − | 0.144147i | ||||
\(990\) | −78.2332 | − | 3.01210i | −2.48641 | − | 0.0957308i | ||||
\(991\) | −19.4755 | −0.618661 | −0.309330 | − | 0.950955i | \(-0.600105\pi\) | ||||
−0.309330 | + | 0.950955i | \(0.600105\pi\) | |||||||
\(992\) | 5.21128 | + | 21.5271i | 0.165458 | + | 0.683487i | ||||
\(993\) | −0.690590 | + | 16.0532i | −0.0219152 | + | 0.509434i | ||||
\(994\) | −4.01808 | + | 0.191011i | −0.127446 | + | 0.00605849i | ||||
\(995\) | 24.3287 | + | 31.7058i | 0.771271 | + | 1.00514i | ||||
\(996\) | −8.86829 | + | 41.6507i | −0.281003 | + | 1.31975i | ||||
\(997\) | −27.2757 | − | 20.9294i | −0.863830 | − | 0.662840i | 0.0787234 | − | 0.996896i | \(-0.474916\pi\) |
−0.942553 | + | 0.334057i | \(0.891582\pi\) | |||||||
\(998\) | 29.9009 | − | 5.39169i | 0.946495 | − | 0.170671i | ||||
\(999\) | 1.05110 | + | 1.36438i | 0.0332553 | + | 0.0431671i |
(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 | 288.2.bc.a.13.8 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bk.a.685.39 | 368 | |||
9.2 | odd | 6 | 864.2.bk.a.397.22 | 368 | |||
9.7 | even | 3 | inner | 288.2.bc.a.205.25 | yes | 368 | |
32.5 | even | 8 | inner | 288.2.bc.a.229.25 | yes | 368 | |
96.5 | odd | 8 | 864.2.bk.a.37.22 | 368 | |||
288.101 | odd | 24 | 864.2.bk.a.613.39 | 368 | |||
288.133 | even | 24 | inner | 288.2.bc.a.133.8 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bc.a.13.8 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bc.a.133.8 | yes | 368 | 288.133 | even | 24 | inner | |
288.2.bc.a.205.25 | yes | 368 | 9.7 | even | 3 | inner | |
288.2.bc.a.229.25 | yes | 368 | 32.5 | even | 8 | inner | |
864.2.bk.a.37.22 | 368 | 96.5 | odd | 8 | |||
864.2.bk.a.397.22 | 368 | 9.2 | odd | 6 | |||
864.2.bk.a.613.39 | 368 | 288.101 | odd | 24 | |||
864.2.bk.a.685.39 | 368 | 3.2 | odd | 2 |