Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 239.26 | ||
Character | \(\chi\) | \(=\) | 300.239 |
Dual form | 300.2.r.a.59.26 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.218409 | − | 1.39725i | −0.154439 | − | 0.988002i | ||||
\(3\) | −1.49193 | + | 0.879859i | −0.861365 | + | 0.507987i | ||||
\(4\) | −1.90459 | + | 0.610343i | −0.952297 | + | 0.305172i | ||||
\(5\) | −1.00094 | − | 1.99953i | −0.447632 | − | 0.894218i | ||||
\(6\) | 1.55523 | + | 1.89242i | 0.634920 | + | 0.772578i | ||||
\(7\) | 0.923130 | 0.348910 | 0.174455 | − | 0.984665i | \(-0.444184\pi\) | ||||
0.174455 | + | 0.984665i | \(0.444184\pi\) | |||||||
\(8\) | 1.26878 | + | 2.52788i | 0.448582 | + | 0.893742i | ||||
\(9\) | 1.45170 | − | 2.62537i | 0.483899 | − | 0.875124i | ||||
\(10\) | −2.57523 | + | 1.83527i | −0.814358 | + | 0.580363i | ||||
\(11\) | −4.04349 | + | 2.93777i | −1.21916 | + | 0.885770i | −0.996030 | − | 0.0890189i | \(-0.971627\pi\) |
−0.223128 | + | 0.974789i | \(0.571627\pi\) | |||||||
\(12\) | 2.30450 | − | 2.58636i | 0.665252 | − | 0.746619i | ||||
\(13\) | −3.14149 | + | 4.32389i | −0.871292 | + | 1.19923i | 0.107465 | + | 0.994209i | \(0.465727\pi\) |
−0.978757 | + | 0.205022i | \(0.934273\pi\) | |||||||
\(14\) | −0.201620 | − | 1.28984i | −0.0538853 | − | 0.344724i | ||||
\(15\) | 3.25263 | + | 2.10248i | 0.839825 | + | 0.542857i | ||||
\(16\) | 3.25496 | − | 2.32491i | 0.813741 | − | 0.581228i | ||||
\(17\) | 1.70962 | + | 5.26167i | 0.414644 | + | 1.27614i | 0.912569 | + | 0.408922i | \(0.134095\pi\) |
−0.497926 | + | 0.867220i | \(0.665905\pi\) | |||||||
\(18\) | −3.98536 | − | 1.45497i | −0.939357 | − | 0.342940i | ||||
\(19\) | 2.48437 | − | 0.807220i | 0.569953 | − | 0.185189i | −0.00984150 | − | 0.999952i | \(-0.503133\pi\) |
0.579795 | + | 0.814763i | \(0.303133\pi\) | |||||||
\(20\) | 3.12678 | + | 3.19738i | 0.699168 | + | 0.714957i | ||||
\(21\) | −1.37724 | + | 0.812225i | −0.300539 | + | 0.177242i | ||||
\(22\) | 4.98792 | + | 5.00812i | 1.06343 | + | 1.06773i | ||||
\(23\) | 2.68594 | + | 3.69688i | 0.560058 | + | 0.770854i | 0.991334 | − | 0.131366i | \(-0.0419364\pi\) |
−0.431276 | + | 0.902220i | \(0.641936\pi\) | |||||||
\(24\) | −4.11711 | − | 2.65507i | −0.840402 | − | 0.541964i | ||||
\(25\) | −2.99626 | + | 4.00280i | −0.599252 | + | 0.800561i | ||||
\(26\) | 6.72767 | + | 3.44506i | 1.31940 | + | 0.675631i | ||||
\(27\) | 0.144133 | + | 5.19415i | 0.0277384 | + | 0.999615i | ||||
\(28\) | −1.75819 | + | 0.563426i | −0.332267 | + | 0.106478i | ||||
\(29\) | −7.66061 | − | 2.48908i | −1.42254 | − | 0.462211i | −0.506131 | − | 0.862456i | \(-0.668925\pi\) |
−0.916408 | + | 0.400245i | \(0.868925\pi\) | |||||||
\(30\) | 2.22727 | − | 5.00392i | 0.406642 | − | 0.913587i | ||||
\(31\) | 1.27703 | − | 0.414934i | 0.229362 | − | 0.0745243i | −0.192081 | − | 0.981379i | \(-0.561524\pi\) |
0.421443 | + | 0.906855i | \(0.361524\pi\) | |||||||
\(32\) | −3.95939 | − | 4.04020i | −0.699928 | − | 0.714214i | ||||
\(33\) | 3.44777 | − | 7.94064i | 0.600180 | − | 1.38229i | ||||
\(34\) | 6.97845 | − | 3.53796i | 1.19679 | − | 0.606754i | ||||
\(35\) | −0.923993 | − | 1.84583i | −0.156183 | − | 0.312002i | ||||
\(36\) | −1.16251 | + | 5.88630i | −0.193752 | + | 0.981050i | ||||
\(37\) | −0.788144 | + | 1.08479i | −0.129570 | + | 0.178338i | −0.868873 | − | 0.495035i | \(-0.835155\pi\) |
0.739303 | + | 0.673373i | \(0.235155\pi\) | |||||||
\(38\) | −1.67049 | − | 3.29497i | −0.270990 | − | 0.534515i | ||||
\(39\) | 0.882461 | − | 9.21500i | 0.141307 | − | 1.47558i | ||||
\(40\) | 3.78462 | − | 5.06722i | 0.598401 | − | 0.801197i | ||||
\(41\) | −0.114333 | + | 0.157366i | −0.0178559 | + | 0.0245765i | −0.817852 | − | 0.575429i | \(-0.804835\pi\) |
0.799996 | + | 0.600006i | \(0.204835\pi\) | |||||||
\(42\) | 1.43568 | + | 1.74695i | 0.221530 | + | 0.269560i | ||||
\(43\) | −3.44541 | −0.525420 | −0.262710 | − | 0.964875i | \(-0.584616\pi\) | ||||
−0.262710 | + | 0.964875i | \(0.584616\pi\) | |||||||
\(44\) | 5.90816 | − | 8.06317i | 0.890689 | − | 1.21557i | ||||
\(45\) | −6.70257 | − | 0.274885i | −0.999160 | − | 0.0409775i | ||||
\(46\) | 4.57882 | − | 4.56036i | 0.675111 | − | 0.672388i | ||||
\(47\) | −11.3954 | − | 3.70260i | −1.66219 | − | 0.540079i | −0.680863 | − | 0.732411i | \(-0.738395\pi\) |
−0.981330 | + | 0.192332i | \(0.938395\pi\) | |||||||
\(48\) | −2.81057 | + | 6.33251i | −0.405671 | + | 0.914019i | ||||
\(49\) | −6.14783 | −0.878261 | ||||||||
\(50\) | 6.24731 | + | 3.31226i | 0.883504 | + | 0.468425i | ||||
\(51\) | −7.18015 | − | 6.34580i | −1.00542 | − | 0.888590i | ||||
\(52\) | 3.34421 | − | 10.1526i | 0.463758 | − | 1.40792i | ||||
\(53\) | 0.488366 | − | 1.50304i | 0.0670823 | − | 0.206458i | −0.911896 | − | 0.410420i | \(-0.865382\pi\) |
0.978979 | + | 0.203962i | \(0.0653820\pi\) | |||||||
\(54\) | 7.22603 | − | 1.33584i | 0.983338 | − | 0.181785i | ||||
\(55\) | 9.92143 | + | 5.14457i | 1.33781 | + | 0.693694i | ||||
\(56\) | 1.17125 | + | 2.33357i | 0.156515 | + | 0.311836i | ||||
\(57\) | −2.99626 | + | 3.39021i | −0.396864 | + | 0.449044i | ||||
\(58\) | −1.80471 | + | 11.2474i | −0.236971 | + | 1.47686i | ||||
\(59\) | 2.68596 | + | 1.95146i | 0.349682 | + | 0.254059i | 0.748736 | − | 0.662869i | \(-0.230661\pi\) |
−0.399053 | + | 0.916928i | \(0.630661\pi\) | |||||||
\(60\) | −7.47817 | − | 2.01914i | −0.965428 | − | 0.260670i | ||||
\(61\) | 9.01103 | − | 6.54690i | 1.15374 | − | 0.838244i | 0.164770 | − | 0.986332i | \(-0.447312\pi\) |
0.988974 | + | 0.148088i | \(0.0473117\pi\) | |||||||
\(62\) | −0.858681 | − | 1.69371i | −0.109053 | − | 0.215101i | ||||
\(63\) | 1.34010 | − | 2.42356i | 0.168837 | − | 0.305340i | ||||
\(64\) | −4.78039 | + | 6.41466i | −0.597549 | + | 0.801832i | ||||
\(65\) | 11.7902 | + | 1.95358i | 1.46239 | + | 0.242311i | ||||
\(66\) | −11.8481 | − | 3.08308i | −1.45839 | − | 0.379501i | ||||
\(67\) | 1.91500 | + | 5.89375i | 0.233954 | + | 0.720036i | 0.997258 | + | 0.0739975i | \(0.0235757\pi\) |
−0.763304 | + | 0.646039i | \(0.776424\pi\) | |||||||
\(68\) | −6.46755 | − | 8.97789i | −0.784306 | − | 1.08873i | ||||
\(69\) | −7.25997 | − | 3.15223i | −0.873998 | − | 0.379484i | ||||
\(70\) | −2.37727 | + | 1.69419i | −0.284138 | + | 0.202495i | ||||
\(71\) | −0.381033 | + | 1.17270i | −0.0452203 | + | 0.139174i | −0.971117 | − | 0.238602i | \(-0.923311\pi\) |
0.925897 | + | 0.377776i | \(0.123311\pi\) | |||||||
\(72\) | 8.47852 | + | 0.338696i | 0.999203 | + | 0.0399158i | ||||
\(73\) | 5.65120 | + | 7.77821i | 0.661423 | + | 0.910371i | 0.999527 | − | 0.0307379i | \(-0.00978572\pi\) |
−0.338104 | + | 0.941109i | \(0.609786\pi\) | |||||||
\(74\) | 1.68785 | + | 0.864304i | 0.196209 | + | 0.100473i | ||||
\(75\) | 0.948297 | − | 8.60818i | 0.109500 | − | 0.993987i | ||||
\(76\) | −4.23903 | + | 3.05375i | −0.486251 | + | 0.350289i | ||||
\(77\) | −3.73267 | + | 2.71194i | −0.425377 | + | 0.309054i | ||||
\(78\) | −13.0684 | + | 0.779625i | −1.47970 | + | 0.0882751i | ||||
\(79\) | −2.98954 | − | 0.971362i | −0.336350 | − | 0.109287i | 0.135972 | − | 0.990713i | \(-0.456584\pi\) |
−0.472322 | + | 0.881426i | \(0.656584\pi\) | |||||||
\(80\) | −7.90674 | − | 4.18132i | −0.884001 | − | 0.467485i | ||||
\(81\) | −4.78516 | − | 7.62248i | −0.531684 | − | 0.846943i | ||||
\(82\) | 0.244851 | + | 0.125382i | 0.0270393 | + | 0.0138461i | ||||
\(83\) | −3.68693 | + | 1.19795i | −0.404693 | + | 0.131493i | −0.504288 | − | 0.863535i | \(-0.668245\pi\) |
0.0995956 | + | 0.995028i | \(0.468245\pi\) | |||||||
\(84\) | 2.12736 | − | 2.38755i | 0.232113 | − | 0.260503i | ||||
\(85\) | 8.80965 | − | 8.68503i | 0.955541 | − | 0.942023i | ||||
\(86\) | 0.752509 | + | 4.81408i | 0.0811451 | + | 0.519116i | ||||
\(87\) | 13.6191 | − | 3.02673i | 1.46012 | − | 0.324499i | ||||
\(88\) | −12.5566 | − | 6.49409i | −1.33854 | − | 0.692272i | ||||
\(89\) | −2.53952 | − | 3.49535i | −0.269188 | − | 0.370506i | 0.652927 | − | 0.757421i | \(-0.273541\pi\) |
−0.922115 | + | 0.386915i | \(0.873541\pi\) | |||||||
\(90\) | 1.07982 | + | 9.42518i | 0.113823 | + | 0.993501i | ||||
\(91\) | −2.90000 | + | 3.99151i | −0.304003 | + | 0.418424i | ||||
\(92\) | −7.37200 | − | 5.40172i | −0.768584 | − | 0.563168i | ||||
\(93\) | −1.54016 | + | 1.74266i | −0.159707 | + | 0.180706i | ||||
\(94\) | −2.68457 | + | 16.7309i | −0.276893 | + | 1.72566i | ||||
\(95\) | −4.10076 | − | 4.15960i | −0.420729 | − | 0.426766i | ||||
\(96\) | 9.46193 | + | 2.54398i | 0.965704 | + | 0.259644i | ||||
\(97\) | −10.7202 | − | 3.48321i | −1.08847 | − | 0.353666i | −0.290816 | − | 0.956779i | \(-0.593927\pi\) |
−0.797656 | + | 0.603113i | \(0.793927\pi\) | |||||||
\(98\) | 1.34274 | + | 8.59003i | 0.135638 | + | 0.867724i | ||||
\(99\) | 1.84282 | + | 14.8804i | 0.185210 | + | 1.49554i | ||||
\(100\) | 3.26357 | − | 9.45246i | 0.326357 | − | 0.945246i | ||||
\(101\) | 2.34735i | 0.233570i | 0.993157 | + | 0.116785i | \(0.0372589\pi\) | ||||
−0.993157 | + | 0.116785i | \(0.962741\pi\) | |||||||
\(102\) | −7.29844 | + | 11.4184i | −0.722653 | + | 1.13059i | ||||
\(103\) | 3.92740 | − | 12.0873i | 0.386978 | − | 1.19100i | −0.548057 | − | 0.836441i | \(-0.684632\pi\) |
0.935035 | − | 0.354556i | \(-0.115368\pi\) | |||||||
\(104\) | −14.9161 | − | 2.45525i | −1.46265 | − | 0.240757i | ||||
\(105\) | 3.00260 | + | 1.94086i | 0.293024 | + | 0.189408i | ||||
\(106\) | −2.20678 | − | 0.354091i | −0.214341 | − | 0.0343923i | ||||
\(107\) | 14.2230i | 1.37499i | 0.726188 | + | 0.687496i | \(0.241290\pi\) | ||||
−0.726188 | + | 0.687496i | \(0.758710\pi\) | |||||||
\(108\) | −3.44473 | − | 9.80479i | −0.331469 | − | 0.943466i | ||||
\(109\) | −0.603321 | − | 0.438338i | −0.0577876 | − | 0.0419852i | 0.558516 | − | 0.829493i | \(-0.311371\pi\) |
−0.616304 | + | 0.787508i | \(0.711371\pi\) | |||||||
\(110\) | 5.02131 | − | 14.9863i | 0.478763 | − | 1.42889i | ||||
\(111\) | 0.221394 | − | 2.31188i | 0.0210138 | − | 0.219434i | ||||
\(112\) | 3.00475 | − | 2.14620i | 0.283923 | − | 0.202797i | ||||
\(113\) | 5.64270 | + | 4.09966i | 0.530820 | + | 0.385664i | 0.820665 | − | 0.571410i | \(-0.193603\pi\) |
−0.289844 | + | 0.957074i | \(0.593603\pi\) | |||||||
\(114\) | 5.39137 | + | 3.44606i | 0.504948 | + | 0.322753i | ||||
\(115\) | 4.70358 | − | 9.07097i | 0.438611 | − | 0.845873i | ||||
\(116\) | 16.1096 | + | 0.0650948i | 1.49573 | + | 0.00604390i | ||||
\(117\) | 6.79133 | + | 14.5245i | 0.627859 | + | 1.34280i | ||||
\(118\) | 2.14004 | − | 4.17917i | 0.197006 | − | 0.384723i | ||||
\(119\) | 1.57820 | + | 4.85720i | 0.144673 | + | 0.445259i | ||||
\(120\) | −1.18794 | + | 10.8898i | −0.108444 | + | 0.994103i | ||||
\(121\) | 4.32015 | − | 13.2960i | 0.392741 | − | 1.20873i | ||||
\(122\) | −11.1157 | − | 11.1607i | −1.00637 | − | 1.01044i | ||||
\(123\) | 0.0321168 | − | 0.335376i | 0.00289588 | − | 0.0302399i | ||||
\(124\) | −2.17898 | + | 1.56971i | −0.195678 | + | 0.140964i | ||||
\(125\) | 11.0028 | + | 1.98457i | 0.984120 | + | 0.177505i | ||||
\(126\) | −3.67900 | − | 1.34313i | −0.327752 | − | 0.119655i | ||||
\(127\) | −10.1668 | + | 7.38658i | −0.902154 | + | 0.655453i | −0.939018 | − | 0.343867i | \(-0.888263\pi\) |
0.0368642 | + | 0.999320i | \(0.488263\pi\) | |||||||
\(128\) | 10.0069 | + | 5.27836i | 0.884497 | + | 0.466546i | ||||
\(129\) | 5.14030 | − | 3.03147i | 0.452578 | − | 0.266906i | ||||
\(130\) | 0.154544 | − | 16.9005i | 0.0135544 | − | 1.48227i | ||||
\(131\) | 1.95457 | + | 6.01556i | 0.170772 | + | 0.525582i | 0.999415 | − | 0.0341951i | \(-0.0108868\pi\) |
−0.828643 | + | 0.559777i | \(0.810887\pi\) | |||||||
\(132\) | −1.72010 | + | 17.2280i | −0.149715 | + | 1.49951i | ||||
\(133\) | 2.29340 | − | 0.745170i | 0.198863 | − | 0.0646144i | ||||
\(134\) | 7.81677 | − | 3.96297i | 0.675266 | − | 0.342349i | ||||
\(135\) | 10.2416 | − | 5.48721i | 0.881457 | − | 0.472264i | ||||
\(136\) | −11.1317 | + | 10.9976i | −0.954540 | + | 0.943038i | ||||
\(137\) | 7.53310 | + | 5.47312i | 0.643596 | + | 0.467600i | 0.861084 | − | 0.508463i | \(-0.169786\pi\) |
−0.217488 | + | 0.976063i | \(0.569786\pi\) | |||||||
\(138\) | −2.81880 | + | 10.8324i | −0.239952 | + | 0.922119i | ||||
\(139\) | −6.65163 | − | 9.15518i | −0.564184 | − | 0.776533i | 0.427667 | − | 0.903936i | \(-0.359336\pi\) |
−0.991851 | + | 0.127404i | \(0.959336\pi\) | |||||||
\(140\) | 2.88642 | + | 2.95160i | 0.243947 | + | 0.249456i | ||||
\(141\) | 20.2589 | − | 4.50236i | 1.70611 | − | 0.379167i | ||||
\(142\) | 1.72177 | + | 0.276269i | 0.144488 | + | 0.0231839i | ||||
\(143\) | − | 26.7126i | − | 2.23382i | ||||||
\(144\) | −1.37854 | − | 11.9206i | −0.114879 | − | 0.993380i | ||||
\(145\) | 2.69077 | + | 17.8090i | 0.223456 | + | 1.47896i | ||||
\(146\) | 9.63380 | − | 9.59495i | 0.797299 | − | 0.794084i | ||||
\(147\) | 9.17212 | − | 5.40922i | 0.756504 | − | 0.446145i | ||||
\(148\) | 0.839003 | − | 2.54712i | 0.0689656 | − | 0.209372i | ||||
\(149\) | 8.40410i | 0.688491i | 0.938880 | + | 0.344245i | \(0.111865\pi\) | ||||
−0.938880 | + | 0.344245i | \(0.888135\pi\) | |||||||
\(150\) | −12.2349 | + | 0.555102i | −0.998972 | + | 0.0453239i | ||||
\(151\) | 13.3363i | 1.08529i | 0.839962 | + | 0.542645i | \(0.182577\pi\) | ||||
−0.839962 | + | 0.542645i | \(0.817423\pi\) | |||||||
\(152\) | 5.19268 | + | 5.25601i | 0.421182 | + | 0.426319i | ||||
\(153\) | 16.2957 | + | 3.14995i | 1.31743 | + | 0.254659i | ||||
\(154\) | 4.60450 | + | 4.62314i | 0.371041 | + | 0.372544i | ||||
\(155\) | −2.10790 | − | 2.13815i | −0.169311 | − | 0.171740i | ||||
\(156\) | 3.94358 | + | 18.0894i | 0.315739 | + | 1.44831i | ||||
\(157\) | 4.59933i | 0.367067i | 0.983013 | + | 0.183533i | \(0.0587536\pi\) | ||||
−0.983013 | + | 0.183533i | \(0.941246\pi\) | |||||||
\(158\) | −0.704288 | + | 4.38928i | −0.0560301 | + | 0.349193i | ||||
\(159\) | 0.593854 | + | 2.67212i | 0.0470957 | + | 0.211913i | ||||
\(160\) | −4.11542 | + | 11.9609i | −0.325353 | + | 0.945593i | ||||
\(161\) | 2.47948 | + | 3.41271i | 0.195410 | + | 0.268959i | ||||
\(162\) | −9.60536 | + | 8.35087i | −0.754669 | + | 0.656106i | ||||
\(163\) | −8.56045 | − | 6.21953i | −0.670506 | − | 0.487151i | 0.199688 | − | 0.979859i | \(-0.436007\pi\) |
−0.870195 | + | 0.492708i | \(0.836007\pi\) | |||||||
\(164\) | 0.121711 | − | 0.369502i | 0.00950405 | − | 0.0288532i | ||||
\(165\) | −19.3286 | + | 1.05413i | −1.50473 | + | 0.0820639i | ||||
\(166\) | 2.47910 | + | 4.88990i | 0.192415 | + | 0.379530i | ||||
\(167\) | 12.9615 | − | 4.21143i | 1.00299 | − | 0.325891i | 0.238929 | − | 0.971037i | \(-0.423204\pi\) |
0.764059 | + | 0.645146i | \(0.223204\pi\) | |||||||
\(168\) | −3.80063 | − | 2.45098i | −0.293225 | − | 0.189097i | ||||
\(169\) | −4.80984 | − | 14.8032i | −0.369988 | − | 1.13870i | ||||
\(170\) | −14.0592 | − | 10.4124i | −1.07829 | − | 0.798592i | ||||
\(171\) | 1.48729 | − | 7.69423i | 0.113736 | − | 0.588393i | ||||
\(172\) | 6.56211 | − | 2.10288i | 0.500356 | − | 0.160343i | ||||
\(173\) | 7.53952 | − | 5.47778i | 0.573219 | − | 0.416468i | −0.263054 | − | 0.964781i | \(-0.584730\pi\) |
0.836273 | + | 0.548313i | \(0.184730\pi\) | |||||||
\(174\) | −7.20362 | − | 18.3682i | −0.546105 | − | 1.39249i | ||||
\(175\) | −2.76594 | + | 3.69511i | −0.209085 | + | 0.279324i | ||||
\(176\) | −6.33136 | + | 18.9631i | −0.477244 | + | 1.42940i | ||||
\(177\) | −5.72427 | − | 0.548177i | −0.430263 | − | 0.0412035i | ||||
\(178\) | −4.32921 | + | 4.31175i | −0.324488 | + | 0.323179i | ||||
\(179\) | −5.31065 | + | 16.3445i | −0.396936 | + | 1.22164i | 0.530507 | + | 0.847681i | \(0.322002\pi\) |
−0.927443 | + | 0.373964i | \(0.877998\pi\) | |||||||
\(180\) | 12.9335 | − | 3.56732i | 0.964003 | − | 0.265892i | ||||
\(181\) | −0.203860 | − | 0.627418i | −0.0151528 | − | 0.0466356i | 0.943194 | − | 0.332242i | \(-0.107805\pi\) |
−0.958347 | + | 0.285606i | \(0.907805\pi\) | |||||||
\(182\) | 6.21051 | + | 3.18024i | 0.460354 | + | 0.235735i | ||||
\(183\) | −7.68346 | + | 17.6959i | −0.567978 | + | 1.30812i | ||||
\(184\) | −5.93742 | + | 11.4803i | −0.437712 | + | 0.846338i | ||||
\(185\) | 2.95795 | + | 0.490118i | 0.217473 | + | 0.0360342i | ||||
\(186\) | 2.77131 | + | 1.77137i | 0.203202 | + | 0.129883i | ||||
\(187\) | −22.3704 | − | 16.2530i | −1.63588 | − | 1.18854i | ||||
\(188\) | 23.9635 | + | 0.0968307i | 1.74772 | + | 0.00706211i | ||||
\(189\) | 0.133053 | + | 4.79488i | 0.00967821 | + | 0.348776i | ||||
\(190\) | −4.91634 | + | 6.63826i | −0.356669 | + | 0.481590i | ||||
\(191\) | 6.00964 | + | 4.36626i | 0.434843 | + | 0.315932i | 0.783582 | − | 0.621288i | \(-0.213390\pi\) |
−0.348740 | + | 0.937220i | \(0.613390\pi\) | |||||||
\(192\) | 1.48800 | − | 13.7763i | 0.107387 | − | 0.994217i | ||||
\(193\) | − | 1.26933i | − | 0.0913686i | −0.998956 | − | 0.0456843i | \(-0.985453\pi\) | ||
0.998956 | − | 0.0456843i | \(-0.0145468\pi\) | |||||||
\(194\) | −2.52551 | + | 15.7395i | −0.181321 | + | 1.13003i | ||||
\(195\) | −19.3090 | + | 7.45910i | −1.38274 | + | 0.534157i | ||||
\(196\) | 11.7091 | − | 3.75229i | 0.836366 | − | 0.268020i | ||||
\(197\) | 3.31567 | − | 10.2046i | 0.236232 | − | 0.727047i | −0.760724 | − | 0.649076i | \(-0.775156\pi\) |
0.996956 | − | 0.0779712i | \(-0.0248442\pi\) | |||||||
\(198\) | 20.3891 | − | 5.82489i | 1.44899 | − | 0.413957i | ||||
\(199\) | 7.30187i | 0.517615i | 0.965929 | + | 0.258808i | \(0.0833296\pi\) | ||||
−0.965929 | + | 0.258808i | \(0.916670\pi\) | |||||||
\(200\) | −13.9202 | − | 2.49551i | −0.984308 | − | 0.176459i | ||||
\(201\) | −8.04271 | − | 7.10812i | −0.567289 | − | 0.501368i | ||||
\(202\) | 3.27983 | − | 0.512684i | 0.230768 | − | 0.0360723i | ||||
\(203\) | −7.07174 | − | 2.29775i | −0.496339 | − | 0.161270i | ||||
\(204\) | 17.5484 | + | 7.70382i | 1.22863 | + | 0.539376i | ||||
\(205\) | 0.429099 | + | 0.0710997i | 0.0299696 | + | 0.00496582i | ||||
\(206\) | −17.7467 | − | 2.84757i | −1.23647 | − | 0.198400i | ||||
\(207\) | 13.6049 | − | 1.68485i | 0.945604 | − | 0.117105i | ||||
\(208\) | −0.172768 | + | 21.3778i | −0.0119793 | + | 1.48228i | ||||
\(209\) | −7.67410 | + | 10.5625i | −0.530828 | + | 0.730622i | ||||
\(210\) | 2.05606 | − | 4.61927i | 0.141882 | − | 0.318760i | ||||
\(211\) | −13.4987 | − | 18.5794i | −0.929289 | − | 1.27906i | −0.960136 | − | 0.279532i | \(-0.909821\pi\) |
0.0308478 | − | 0.999524i | \(-0.490179\pi\) | |||||||
\(212\) | −0.0127718 | + | 3.16075i | −0.000877172 | + | 0.217081i | ||||
\(213\) | −0.463336 | − | 2.08484i | −0.0317473 | − | 0.142851i | ||||
\(214\) | 19.8731 | − | 3.10644i | 1.35850 | − | 0.212352i | ||||
\(215\) | 3.44863 | + | 6.88921i | 0.235195 | + | 0.469840i | ||||
\(216\) | −12.9473 | + | 6.95459i | −0.880955 | + | 0.473200i | ||||
\(217\) | 1.17887 | − | 0.383038i | 0.0800269 | − | 0.0260023i | ||||
\(218\) | −0.480696 | + | 0.938725i | −0.0325568 | + | 0.0635785i | ||||
\(219\) | −15.2749 | − | 6.63227i | −1.03218 | − | 0.448167i | ||||
\(220\) | −22.0363 | − | 3.74285i | −1.48568 | − | 0.252343i | ||||
\(221\) | −28.1216 | − | 9.13727i | −1.89166 | − | 0.614639i | ||||
\(222\) | −3.27862 | + | 0.195594i | −0.220047 | + | 0.0131274i | ||||
\(223\) | 15.8830 | − | 11.5397i | 1.06361 | − | 0.772755i | 0.0888541 | − | 0.996045i | \(-0.471680\pi\) |
0.974752 | + | 0.223289i | \(0.0716795\pi\) | |||||||
\(224\) | −3.65503 | − | 3.72963i | −0.244212 | − | 0.249197i | ||||
\(225\) | 6.15919 | + | 13.6771i | 0.410613 | + | 0.911810i | ||||
\(226\) | 4.49582 | − | 8.77964i | 0.299057 | − | 0.584013i | ||||
\(227\) | −8.97114 | − | 12.3477i | −0.595436 | − | 0.819547i | 0.399845 | − | 0.916583i | \(-0.369064\pi\) |
−0.995281 | + | 0.0970357i | \(0.969064\pi\) | |||||||
\(228\) | 3.63747 | − | 8.28572i | 0.240897 | − | 0.548735i | ||||
\(229\) | 2.34896 | − | 7.22935i | 0.155224 | − | 0.477729i | −0.842960 | − | 0.537976i | \(-0.819189\pi\) |
0.998183 | + | 0.0602473i | \(0.0191889\pi\) | |||||||
\(230\) | −13.7017 | − | 4.59088i | −0.903463 | − | 0.302714i | ||||
\(231\) | 3.18274 | − | 7.33024i | 0.209409 | − | 0.482295i | ||||
\(232\) | −3.42752 | − | 22.5232i | −0.225028 | − | 1.47872i | ||||
\(233\) | −2.87386 | − | 8.84484i | −0.188273 | − | 0.579445i | 0.811716 | − | 0.584052i | \(-0.198534\pi\) |
−0.999989 | + | 0.00460692i | \(0.998534\pi\) | |||||||
\(234\) | 18.8111 | − | 12.6615i | 1.22972 | − | 0.827705i | ||||
\(235\) | 4.00261 | + | 26.4916i | 0.261102 | + | 1.72812i | ||||
\(236\) | −6.30673 | − | 2.07739i | −0.410533 | − | 0.135227i | ||||
\(237\) | 5.31484 | − | 1.18118i | 0.345236 | − | 0.0767256i | ||||
\(238\) | 6.44202 | − | 3.26599i | 0.417574 | − | 0.211703i | ||||
\(239\) | −3.25779 | + | 2.36692i | −0.210729 | + | 0.153103i | −0.688143 | − | 0.725575i | \(-0.741574\pi\) |
0.477415 | + | 0.878678i | \(0.341574\pi\) | |||||||
\(240\) | 15.4753 | − | 0.718599i | 0.998924 | − | 0.0463853i | ||||
\(241\) | 19.1620 | + | 13.9220i | 1.23433 | + | 0.896796i | 0.997207 | − | 0.0746822i | \(-0.0237942\pi\) |
0.237127 | + | 0.971479i | \(0.423794\pi\) | |||||||
\(242\) | −19.5214 | − | 3.13233i | −1.25488 | − | 0.201354i | ||||
\(243\) | 13.8458 | + | 7.16193i | 0.888210 | + | 0.459438i | ||||
\(244\) | −13.1665 | + | 17.9690i | −0.842900 | + | 1.15035i | ||||
\(245\) | 6.15358 | + | 12.2928i | 0.393138 | + | 0.785357i | ||||
\(246\) | −0.475618 | + | 0.0283742i | −0.0303243 | + | 0.00180907i | ||||
\(247\) | −4.31429 | + | 13.2780i | −0.274511 | + | 0.844859i | ||||
\(248\) | 2.66918 | + | 2.70173i | 0.169493 | + | 0.171560i | ||||
\(249\) | 4.44660 | − | 5.03124i | 0.281792 | − | 0.318842i | ||||
\(250\) | 0.369819 | − | 15.8071i | 0.0233894 | − | 0.999726i | ||||
\(251\) | 17.7900 | 1.12290 | 0.561448 | − | 0.827512i | \(-0.310245\pi\) | ||||
0.561448 | + | 0.827512i | \(0.310245\pi\) | |||||||
\(252\) | −1.07315 | + | 5.43382i | −0.0676023 | + | 0.342299i | ||||
\(253\) | −21.7212 | − | 7.05764i | −1.36560 | − | 0.443710i | ||||
\(254\) | 12.5414 | + | 12.5922i | 0.786917 | + | 0.790103i | ||||
\(255\) | −5.50177 | + | 20.7087i | −0.344534 | + | 1.29683i | ||||
\(256\) | 5.18957 | − | 15.1350i | 0.324348 | − | 0.945938i | ||||
\(257\) | −29.9823 | −1.87025 | −0.935123 | − | 0.354324i | \(-0.884711\pi\) | ||||
−0.935123 | + | 0.354324i | \(0.884711\pi\) | |||||||
\(258\) | −5.35841 | − | 6.52016i | −0.333600 | − | 0.405928i | ||||
\(259\) | −0.727560 | + | 1.00140i | −0.0452084 | + | 0.0622240i | ||||
\(260\) | −23.6479 | + | 3.47528i | −1.46658 | + | 0.215528i | ||||
\(261\) | −17.6556 | + | 16.4986i | −1.09286 | + | 1.02124i | ||||
\(262\) | 7.97832 | − | 4.04488i | 0.492903 | − | 0.249893i | ||||
\(263\) | −1.65049 | + | 2.27170i | −0.101773 | + | 0.140079i | −0.856866 | − | 0.515539i | \(-0.827592\pi\) |
0.755093 | + | 0.655618i | \(0.227592\pi\) | |||||||
\(264\) | 24.4475 | − | 1.35936i | 1.50464 | − | 0.0836628i | ||||
\(265\) | −3.49419 | + | 0.527938i | −0.214647 | + | 0.0324310i | ||||
\(266\) | −1.54208 | − | 3.04169i | −0.0945513 | − | 0.186498i | ||||
\(267\) | 6.86419 | + | 2.98039i | 0.420082 | + | 0.182397i | ||||
\(268\) | −7.24450 | − | 10.0564i | −0.442528 | − | 0.614293i | ||||
\(269\) | 6.77105 | − | 2.20005i | 0.412838 | − | 0.134139i | −0.0952315 | − | 0.995455i | \(-0.530359\pi\) |
0.508070 | + | 0.861316i | \(0.330359\pi\) | |||||||
\(270\) | −9.90384 | − | 13.1116i | −0.602729 | − | 0.797946i | ||||
\(271\) | 23.3369 | + | 7.58261i | 1.41761 | + | 0.460611i | 0.914843 | − | 0.403809i | \(-0.132314\pi\) |
0.502771 | + | 0.864420i | \(0.332314\pi\) | |||||||
\(272\) | 17.7977 | + | 13.1518i | 1.07914 | + | 0.797446i | ||||
\(273\) | 0.814627 | − | 8.50664i | 0.0493034 | − | 0.514845i | ||||
\(274\) | 6.00200 | − | 11.7210i | 0.362594 | − | 0.708090i | ||||
\(275\) | 0.356033 | − | 24.9876i | 0.0214696 | − | 1.50681i | ||||
\(276\) | 15.7512 | + | 1.57265i | 0.948114 | + | 0.0946625i | ||||
\(277\) | −5.12274 | − | 7.05084i | −0.307795 | − | 0.423644i | 0.626897 | − | 0.779102i | \(-0.284325\pi\) |
−0.934692 | + | 0.355458i | \(0.884325\pi\) | |||||||
\(278\) | −11.3393 | + | 11.2935i | −0.680084 | + | 0.677342i | ||||
\(279\) | 0.764510 | − | 3.95505i | 0.0457700 | − | 0.236783i | ||||
\(280\) | 3.49370 | − | 4.67770i | 0.208788 | − | 0.279546i | ||||
\(281\) | 3.00373 | − | 0.975970i | 0.179187 | − | 0.0582215i | −0.218049 | − | 0.975938i | \(-0.569969\pi\) |
0.397236 | + | 0.917716i | \(0.369969\pi\) | |||||||
\(282\) | −10.7156 | − | 27.3233i | −0.638107 | − | 1.62708i | ||||
\(283\) | 1.89969 | + | 5.84664i | 0.112925 | + | 0.347547i | 0.991509 | − | 0.130042i | \(-0.0415111\pi\) |
−0.878584 | + | 0.477588i | \(0.841511\pi\) | |||||||
\(284\) | 0.00996482 | − | 2.46608i | 0.000591303 | − | 0.146335i | ||||
\(285\) | 9.77789 | + | 2.59774i | 0.579192 | + | 0.153877i | ||||
\(286\) | −37.3240 | + | 5.83427i | −2.20702 | + | 0.344988i | ||||
\(287\) | −0.105545 | + | 0.145270i | −0.00623010 | + | 0.00857500i | ||||
\(288\) | −16.3549 | + | 4.52973i | −0.963720 | + | 0.266917i | ||||
\(289\) | −11.0091 | + | 7.99854i | −0.647591 | + | 0.470503i | ||||
\(290\) | 24.2959 | − | 7.64933i | 1.42671 | − | 0.449184i | ||||
\(291\) | 19.0585 | − | 4.23558i | 1.11723 | − | 0.248294i | ||||
\(292\) | −15.5106 | − | 11.3652i | −0.907691 | − | 0.665096i | ||||
\(293\) | 4.90224 | 0.286392 | 0.143196 | − | 0.989694i | \(-0.454262\pi\) | ||||
0.143196 | + | 0.989694i | \(0.454262\pi\) | |||||||
\(294\) | −9.56129 | − | 11.6343i | −0.557626 | − | 0.678525i | ||||
\(295\) | 1.21354 | − | 7.32395i | 0.0706553 | − | 0.426417i | ||||
\(296\) | −3.74220 | − | 0.615980i | −0.217511 | − | 0.0358031i | ||||
\(297\) | −15.8420 | − | 20.5791i | −0.919247 | − | 1.19412i | ||||
\(298\) | 11.7426 | − | 1.83553i | 0.680230 | − | 0.106330i | ||||
\(299\) | −24.4228 | −1.41241 | ||||||||
\(300\) | 3.44782 | + | 16.9739i | 0.199060 | + | 0.979987i | ||||
\(301\) | −3.18056 | −0.183325 | ||||||||
\(302\) | 18.6340 | − | 2.91276i | 1.07227 | − | 0.167611i | ||||
\(303\) | −2.06534 | − | 3.50208i | −0.118651 | − | 0.201189i | ||||
\(304\) | 6.20981 | − | 8.40341i | 0.356157 | − | 0.481969i | ||||
\(305\) | −22.1102 | − | 11.4648i | −1.26603 | − | 0.656474i | ||||
\(306\) | 0.842133 | − | 23.4571i | 0.0481415 | − | 1.34095i | ||||
\(307\) | 19.7919 | 1.12958 | 0.564792 | − | 0.825233i | \(-0.308956\pi\) | ||||
0.564792 | + | 0.825233i | \(0.308956\pi\) | |||||||
\(308\) | 5.45401 | − | 7.44336i | 0.310771 | − | 0.424125i | ||||
\(309\) | 4.77572 | + | 21.4889i | 0.271681 | + | 1.22246i | ||||
\(310\) | −2.52714 | + | 3.41225i | −0.143532 | + | 0.193803i | ||||
\(311\) | −4.54758 | + | 3.30401i | −0.257869 | + | 0.187353i | −0.709207 | − | 0.705000i | \(-0.750947\pi\) |
0.451338 | + | 0.892353i | \(0.350947\pi\) | |||||||
\(312\) | 24.4141 | − | 9.46105i | 1.38218 | − | 0.535627i | ||||
\(313\) | 3.59609 | − | 4.94959i | 0.203263 | − | 0.279768i | −0.695200 | − | 0.718816i | \(-0.744684\pi\) |
0.898463 | + | 0.439048i | \(0.144684\pi\) | |||||||
\(314\) | 6.42640 | − | 1.00454i | 0.362663 | − | 0.0566893i | ||||
\(315\) | −6.18735 | − | 0.253755i | −0.348617 | − | 0.0142975i | ||||
\(316\) | 6.28673 | + | 0.0254032i | 0.353656 | + | 0.00142904i | ||||
\(317\) | −4.61467 | − | 14.2025i | −0.259186 | − | 0.797692i | −0.992976 | − | 0.118316i | \(-0.962251\pi\) |
0.733790 | − | 0.679376i | \(-0.237749\pi\) | |||||||
\(318\) | 3.60390 | − | 1.41337i | 0.202097 | − | 0.0792581i | ||||
\(319\) | 38.2879 | − | 12.4405i | 2.14371 | − | 0.696535i | ||||
\(320\) | 17.6112 | + | 3.13789i | 0.984495 | + | 0.175413i | ||||
\(321\) | −12.5143 | − | 21.2197i | −0.698478 | − | 1.18437i | ||||
\(322\) | 4.22685 | − | 4.20981i | 0.235553 | − | 0.234603i | ||||
\(323\) | 8.49465 | + | 11.6919i | 0.472655 | + | 0.650554i | ||||
\(324\) | 13.7661 | + | 11.5972i | 0.764784 | + | 0.644286i | ||||
\(325\) | −7.89497 | − | 25.5302i | −0.437934 | − | 1.41616i | ||||
\(326\) | −6.82053 | + | 13.3195i | −0.377754 | + | 0.737697i | ||||
\(327\) | 1.28579 | + | 0.123132i | 0.0711042 | + | 0.00680919i | ||||
\(328\) | −0.542868 | − | 0.0893580i | −0.0299749 | − | 0.00493397i | ||||
\(329\) | −10.5195 | − | 3.41798i | −0.579956 | − | 0.188439i | ||||
\(330\) | 5.69442 | + | 26.7765i | 0.313467 | + | 1.47400i | ||||
\(331\) | −26.4114 | + | 8.58159i | −1.45170 | + | 0.471687i | −0.925525 | − | 0.378687i | \(-0.876376\pi\) |
−0.526179 | + | 0.850374i | \(0.676376\pi\) | |||||||
\(332\) | 6.29094 | − | 4.53191i | 0.345260 | − | 0.248721i | ||||
\(333\) | 1.70383 | + | 3.64395i | 0.0933691 | + | 0.199687i | ||||
\(334\) | −8.71532 | − | 17.1905i | −0.476881 | − | 0.940625i | ||||
\(335\) | 9.86796 | − | 9.72836i | 0.539144 | − | 0.531517i | ||||
\(336\) | −2.59453 | + | 5.84573i | −0.141543 | + | 0.318911i | ||||
\(337\) | −13.9377 | + | 19.1835i | −0.759232 | + | 1.04499i | 0.238045 | + | 0.971254i | \(0.423493\pi\) |
−0.997278 | + | 0.0737395i | \(0.976507\pi\) | |||||||
\(338\) | −19.6332 | + | 9.95368i | −1.06790 | + | 0.541409i | ||||
\(339\) | −12.0256 | − | 1.15162i | −0.653142 | − | 0.0625472i | ||||
\(340\) | −11.4780 | + | 21.9184i | −0.622481 | + | 1.18869i | ||||
\(341\) | −3.94470 | + | 5.42941i | −0.213617 | + | 0.294019i | ||||
\(342\) | −11.0756 | − | 0.397625i | −0.598899 | − | 0.0215011i | ||||
\(343\) | −12.1372 | −0.655345 | ||||||||
\(344\) | −4.37147 | − | 8.70959i | −0.235694 | − | 0.469590i | ||||
\(345\) | 0.963771 | + | 17.6717i | 0.0518877 | + | 0.951414i | ||||
\(346\) | −9.30051 | − | 9.33816i | −0.499998 | − | 0.502023i | ||||
\(347\) | 16.8095 | + | 5.46175i | 0.902383 | + | 0.293202i | 0.723220 | − | 0.690617i | \(-0.242661\pi\) |
0.179163 | + | 0.983819i | \(0.442661\pi\) | |||||||
\(348\) | −24.0916 | + | 14.0770i | −1.29144 | + | 0.754607i | ||||
\(349\) | 33.8546 | 1.81219 | 0.906096 | − | 0.423071i | \(-0.139048\pi\) | ||||
0.906096 | + | 0.423071i | \(0.139048\pi\) | |||||||
\(350\) | 5.76708 | + | 3.05765i | 0.308264 | + | 0.163438i | ||||
\(351\) | −22.9117 | − | 15.6942i | −1.22294 | − | 0.837692i | ||||
\(352\) | 27.8789 | + | 4.70475i | 1.48595 | + | 0.250764i | ||||
\(353\) | −8.01491 | + | 24.6673i | −0.426590 | + | 1.31291i | 0.474873 | + | 0.880055i | \(0.342494\pi\) |
−0.901463 | + | 0.432856i | \(0.857506\pi\) | |||||||
\(354\) | 0.484296 | + | 8.11794i | 0.0257400 | + | 0.431464i | ||||
\(355\) | 2.72624 | − | 0.411908i | 0.144694 | − | 0.0218618i | ||||
\(356\) | 6.97011 | + | 5.10724i | 0.369415 | + | 0.270683i | ||||
\(357\) | −6.62822 | − | 5.85800i | −0.350802 | − | 0.310038i | ||||
\(358\) | 23.9972 | + | 3.85049i | 1.26829 | + | 0.203505i | ||||
\(359\) | 11.7524 | + | 8.53862i | 0.620268 | + | 0.450651i | 0.853015 | − | 0.521886i | \(-0.174772\pi\) |
−0.232747 | + | 0.972537i | \(0.574772\pi\) | |||||||
\(360\) | −7.80921 | − | 17.2921i | −0.411582 | − | 0.911373i | ||||
\(361\) | −9.85084 | + | 7.15705i | −0.518465 | + | 0.376687i | ||||
\(362\) | −0.832132 | + | 0.421877i | −0.0437359 | + | 0.0221734i | ||||
\(363\) | 5.25330 | + | 23.6379i | 0.275727 | + | 1.24067i | ||||
\(364\) | 3.08714 | − | 9.37221i | 0.161810 | − | 0.491237i | ||||
\(365\) | 9.89630 | − | 19.0852i | 0.517996 | − | 0.998967i | ||||
\(366\) | 26.4037 | + | 6.87073i | 1.38014 | + | 0.359139i | ||||
\(367\) | −3.26231 | − | 10.0404i | −0.170291 | − | 0.524102i | 0.829096 | − | 0.559106i | \(-0.188856\pi\) |
−0.999387 | + | 0.0350041i | \(0.988856\pi\) | |||||||
\(368\) | 17.3376 | + | 5.78864i | 0.903784 | + | 0.301754i | ||||
\(369\) | 0.247168 | + | 0.528616i | 0.0128671 | + | 0.0275186i | ||||
\(370\) | 0.0387723 | − | 4.24003i | 0.00201567 | − | 0.220429i | ||||
\(371\) | 0.450826 | − | 1.38750i | 0.0234057 | − | 0.0720354i | ||||
\(372\) | 1.86976 | − | 4.25909i | 0.0969425 | − | 0.220824i | ||||
\(373\) | 16.2173 | + | 22.3212i | 0.839699 | + | 1.15575i | 0.986039 | + | 0.166512i | \(0.0532505\pi\) |
−0.146340 | + | 0.989234i | \(0.546750\pi\) | |||||||
\(374\) | −17.8236 | + | 34.8067i | −0.921636 | + | 1.79981i | ||||
\(375\) | −18.1615 | + | 6.72008i | −0.937857 | + | 0.347023i | ||||
\(376\) | −5.09856 | − | 33.5041i | −0.262938 | − | 1.72784i | ||||
\(377\) | 34.8282 | − | 25.3042i | 1.79375 | − | 1.30323i | ||||
\(378\) | 6.67057 | − | 1.23315i | 0.343097 | − | 0.0634266i | ||||
\(379\) | 5.89230 | + | 1.91452i | 0.302667 | + | 0.0983425i | 0.456413 | − | 0.889768i | \(-0.349134\pi\) |
−0.153746 | + | 0.988110i | \(0.549134\pi\) | |||||||
\(380\) | 10.3491 | + | 5.41949i | 0.530896 | + | 0.278014i | ||||
\(381\) | 8.66892 | − | 19.9656i | 0.444122 | − | 1.02287i | ||||
\(382\) | 4.78818 | − | 9.35058i | 0.244985 | − | 0.478418i | ||||
\(383\) | 27.4308 | − | 8.91280i | 1.40165 | − | 0.455423i | 0.491924 | − | 0.870638i | \(-0.336294\pi\) |
0.909723 | + | 0.415216i | \(0.136294\pi\) | |||||||
\(384\) | −19.5738 | + | 0.929763i | −0.998874 | + | 0.0474468i | ||||
\(385\) | 9.15877 | + | 4.74911i | 0.466774 | + | 0.242037i | ||||
\(386\) | −1.77357 | + | 0.277234i | −0.0902723 | + | 0.0141108i | ||||
\(387\) | −5.00169 | + | 9.04548i | −0.254250 | + | 0.459808i | ||||
\(388\) | 22.5436 | + | 0.0910933i | 1.14448 | + | 0.00462456i | ||||
\(389\) | −3.59303 | − | 4.94539i | −0.182174 | − | 0.250741i | 0.708157 | − | 0.706055i | \(-0.249527\pi\) |
−0.890331 | + | 0.455314i | \(0.849527\pi\) | |||||||
\(390\) | 14.6395 | + | 25.3502i | 0.741298 | + | 1.28366i | ||||
\(391\) | −14.8598 | + | 20.4528i | −0.751494 | + | 1.03434i | ||||
\(392\) | −7.80025 | − | 15.5410i | −0.393972 | − | 0.784939i | ||||
\(393\) | −8.20893 | − | 7.25503i | −0.414086 | − | 0.365968i | ||||
\(394\) | −14.9825 | − | 2.40403i | −0.754808 | − | 0.121114i | ||||
\(395\) | 1.05007 | + | 6.94996i | 0.0528348 | + | 0.349690i | ||||
\(396\) | −12.5920 | − | 27.2164i | −0.632770 | − | 1.36768i | ||||
\(397\) | −4.07817 | − | 1.32508i | −0.204677 | − | 0.0665037i | 0.204884 | − | 0.978786i | \(-0.434318\pi\) |
−0.409561 | + | 0.912283i | \(0.634318\pi\) | |||||||
\(398\) | 10.2025 | − | 1.59479i | 0.511405 | − | 0.0799398i | ||||
\(399\) | −2.76594 | + | 3.12960i | −0.138470 | + | 0.156676i | ||||
\(400\) | −0.446541 | + | 19.9950i | −0.0223270 | + | 0.999751i | ||||
\(401\) | − | 30.8854i | − | 1.54234i | −0.636629 | − | 0.771170i | \(-0.719672\pi\) | ||
0.636629 | − | 0.771170i | \(-0.280328\pi\) | |||||||
\(402\) | −8.17520 | + | 12.7901i | −0.407742 | + | 0.637913i | ||||
\(403\) | −2.21766 | + | 6.82526i | −0.110470 | + | 0.339991i | ||||
\(404\) | −1.43269 | − | 4.47076i | −0.0712791 | − | 0.222429i | ||||
\(405\) | −10.4518 | + | 17.1977i | −0.519353 | + | 0.854560i | ||||
\(406\) | −1.66599 | + | 10.3828i | −0.0826815 | + | 0.515290i | ||||
\(407\) | − | 6.70171i | − | 0.332192i | ||||||
\(408\) | 6.93141 | − | 26.2020i | 0.343156 | − | 1.29719i | ||||
\(409\) | −20.0028 | − | 14.5329i | −0.989076 | − | 0.718606i | −0.0293572 | − | 0.999569i | \(-0.509346\pi\) |
−0.959718 | + | 0.280963i | \(0.909346\pi\) | |||||||
\(410\) | 0.00562456 | − | 0.615086i | 0.000277777 | − | 0.0303769i | ||||
\(411\) | −16.0544 | − | 1.53743i | −0.791906 | − | 0.0758357i | ||||
\(412\) | −0.102710 | + | 25.4185i | −0.00506015 | + | 1.25228i | ||||
\(413\) | 2.47949 | + | 1.80146i | 0.122008 | + | 0.0886438i | ||||
\(414\) | −5.32558 | − | 18.6414i | −0.261738 | − | 0.916173i | ||||
\(415\) | 6.08572 | + | 6.17305i | 0.298736 | + | 0.303023i | ||||
\(416\) | 29.9078 | − | 4.42771i | 1.46635 | − | 0.217086i | ||||
\(417\) | 17.9790 | + | 7.80637i | 0.880437 | + | 0.382280i | ||||
\(418\) | 16.4345 | + | 8.41566i | 0.803837 | + | 0.411623i | ||||
\(419\) | 0.137486 | + | 0.423138i | 0.00671662 | + | 0.0206716i | 0.954359 | − | 0.298663i | \(-0.0965406\pi\) |
−0.947642 | + | 0.319335i | \(0.896541\pi\) | |||||||
\(420\) | −6.90333 | − | 1.86393i | −0.336848 | − | 0.0909506i | ||||
\(421\) | −10.6644 | + | 32.8217i | −0.519752 | + | 1.59963i | 0.254713 | + | 0.967017i | \(0.418019\pi\) |
−0.774465 | + | 0.632617i | \(0.781981\pi\) | |||||||
\(422\) | −23.0117 | + | 22.9189i | −1.12019 | + | 1.11568i | ||||
\(423\) | −26.2634 | + | 24.5422i | −1.27697 | + | 1.19328i | ||||
\(424\) | 4.41913 | − | 0.672491i | 0.214612 | − | 0.0326591i | ||||
\(425\) | −26.1839 | − | 8.92204i | −1.27010 | − | 0.432783i | ||||
\(426\) | −2.81183 | + | 1.10274i | −0.136234 | + | 0.0534280i | ||||
\(427\) | 8.31836 | − | 6.04364i | 0.402554 | − | 0.292472i | ||||
\(428\) | −8.68092 | − | 27.0891i | −0.419608 | − | 1.30940i | ||||
\(429\) | 23.5033 | + | 39.8532i | 1.13475 | + | 1.92413i | ||||
\(430\) | 8.87271 | − | 6.32325i | 0.427880 | − | 0.304934i | ||||
\(431\) | −9.02357 | − | 27.7717i | −0.434650 | − | 1.33772i | −0.893445 | − | 0.449173i | \(-0.851719\pi\) |
0.458795 | − | 0.888542i | \(-0.348281\pi\) | |||||||
\(432\) | 12.5451 | + | 16.5717i | 0.603576 | + | 0.797305i | ||||
\(433\) | −6.58623 | + | 2.14000i | −0.316514 | + | 0.102842i | −0.462966 | − | 0.886376i | \(-0.653215\pi\) |
0.146452 | + | 0.989218i | \(0.453215\pi\) | |||||||
\(434\) | −0.792674 | − | 1.56351i | −0.0380496 | − | 0.0750510i | ||||
\(435\) | −19.6839 | − | 24.2023i | −0.943770 | − | 1.16041i | ||||
\(436\) | 1.41662 | + | 0.466624i | 0.0678437 | + | 0.0223472i | ||||
\(437\) | 9.65708 | + | 7.01628i | 0.461961 | + | 0.335634i | ||||
\(438\) | −5.93073 | + | 22.7914i | −0.283381 | + | 1.08901i | ||||
\(439\) | 4.07118 | + | 5.60350i | 0.194307 | + | 0.267440i | 0.895043 | − | 0.445980i | \(-0.147145\pi\) |
−0.700736 | + | 0.713421i | \(0.747145\pi\) | |||||||
\(440\) | −0.416764 | + | 31.6076i | −0.0198685 | + | 1.50683i | ||||
\(441\) | −8.92478 | + | 16.1403i | −0.424990 | + | 0.768588i | ||||
\(442\) | −6.62499 | + | 41.2885i | −0.315119 | + | 1.96389i | ||||
\(443\) | 26.2813i | 1.24866i | 0.781159 | + | 0.624332i | \(0.214629\pi\) | ||||
−0.781159 | + | 0.624332i | \(0.785371\pi\) | |||||||
\(444\) | 0.989374 | + | 4.53832i | 0.0469536 | + | 0.215379i | ||||
\(445\) | −4.44716 | + | 8.57646i | −0.210816 | + | 0.406563i | ||||
\(446\) | −19.5928 | − | 19.6721i | −0.927746 | − | 0.931502i | ||||
\(447\) | −7.39442 | − | 12.5383i | −0.349744 | − | 0.593041i | ||||
\(448\) | −4.41292 | + | 5.92157i | −0.208491 | + | 0.279768i | ||||
\(449\) | 7.06911i | 0.333612i | 0.985990 | + | 0.166806i | \(0.0533453\pi\) | ||||
−0.985990 | + | 0.166806i | \(0.946655\pi\) | |||||||
\(450\) | 17.7651 | − | 11.5931i | 0.837456 | − | 0.546505i | ||||
\(451\) | − | 0.972194i | − | 0.0457788i | ||||||
\(452\) | −13.2493 | − | 4.36421i | −0.623192 | − | 0.205275i | ||||
\(453\) | −11.7340 | − | 19.8967i | −0.551313 | − | 0.934831i | ||||
\(454\) | −15.2934 | + | 15.2318i | −0.717756 | + | 0.714862i | ||||
\(455\) | 10.8839 | + | 1.80341i | 0.510244 | + | 0.0845450i | ||||
\(456\) | −12.3716 | − | 3.27276i | −0.579356 | − | 0.153261i | ||||
\(457\) | 39.0800i | 1.82809i | 0.405616 | + | 0.914044i | \(0.367057\pi\) | ||||
−0.405616 | + | 0.914044i | \(0.632943\pi\) | |||||||
\(458\) | −10.6142 | − | 1.70312i | −0.495970 | − | 0.0795814i | ||||
\(459\) | −27.0835 | + | 9.63840i | −1.26415 | + | 0.449882i | ||||
\(460\) | −3.42202 | + | 20.1473i | −0.159552 | + | 0.939374i | ||||
\(461\) | 20.1596 | + | 27.7474i | 0.938928 | + | 1.29232i | 0.956273 | + | 0.292474i | \(0.0944786\pi\) |
−0.0173453 | + | 0.999850i | \(0.505521\pi\) | |||||||
\(462\) | −10.9373 | − | 2.84608i | −0.508849 | − | 0.132412i | ||||
\(463\) | −33.6165 | − | 24.4238i | −1.56229 | − | 1.13507i | −0.934100 | − | 0.357012i | \(-0.883795\pi\) |
−0.628191 | − | 0.778059i | \(-0.716205\pi\) | |||||||
\(464\) | −30.7219 | + | 9.70837i | −1.42623 | + | 0.450700i | ||||
\(465\) | 5.02611 | + | 1.33531i | 0.233080 | + | 0.0619234i | ||||
\(466\) | −11.7307 | + | 5.94729i | −0.543416 | + | 0.275503i | ||||
\(467\) | −6.92581 | + | 2.25033i | −0.320488 | + | 0.104133i | −0.464843 | − | 0.885393i | \(-0.653889\pi\) |
0.144355 | + | 0.989526i | \(0.453889\pi\) | |||||||
\(468\) | −21.7997 | − | 23.5183i | −1.00769 | − | 1.08714i | ||||
\(469\) | 1.76779 | + | 5.44070i | 0.0816290 | + | 0.251228i | ||||
\(470\) | 36.1410 | − | 11.3786i | 1.66706 | − | 0.524858i | ||||
\(471\) | −4.04677 | − | 6.86187i | −0.186465 | − | 0.316178i | ||||
\(472\) | −1.52518 | + | 9.26577i | −0.0702021 | + | 0.426492i | ||||
\(473\) | 13.9315 | − | 10.1218i | 0.640570 | − | 0.465401i | ||||
\(474\) | −2.81121 | − | 7.16817i | −0.129123 | − | 0.329245i | ||||
\(475\) | −4.21267 | + | 12.3631i | −0.193290 | + | 0.567257i | ||||
\(476\) | −5.97039 | − | 8.28776i | −0.273653 | − | 0.379869i | ||||
\(477\) | −3.23707 | − | 3.46410i | −0.148215 | − | 0.158610i | ||||
\(478\) | 4.01870 | + | 4.03497i | 0.183811 | + | 0.184555i | ||||
\(479\) | 8.70449 | − | 26.7897i | 0.397718 | − | 1.22405i | −0.529106 | − | 0.848556i | \(-0.677473\pi\) |
0.926824 | − | 0.375495i | \(-0.122527\pi\) | |||||||
\(480\) | −4.38400 | − | 21.4658i | −0.200101 | − | 0.979775i | ||||
\(481\) | −2.21455 | − | 6.81570i | −0.100975 | − | 0.310769i | ||||
\(482\) | 15.2673 | − | 29.8148i | 0.695408 | − | 1.35803i | ||||
\(483\) | −6.70190 | − | 2.90992i | −0.304947 | − | 0.132406i | ||||
\(484\) | −0.112981 | + | 27.9603i | −0.00513550 | + | 1.27092i | ||||
\(485\) | 3.76545 | + | 24.9219i | 0.170980 | + | 1.13164i | ||||
\(486\) | 6.98292 | − | 20.9103i | 0.316752 | − | 0.948508i | ||||
\(487\) | −4.28512 | − | 3.11332i | −0.194177 | − | 0.141078i | 0.486449 | − | 0.873709i | \(-0.338292\pi\) |
−0.680626 | + | 0.732631i | \(0.738292\pi\) | |||||||
\(488\) | 27.9828 | + | 14.4723i | 1.26672 | + | 0.655129i | ||||
\(489\) | 18.2439 | + | 1.74710i | 0.825017 | + | 0.0790066i | ||||
\(490\) | 15.8321 | − | 11.2829i | 0.715219 | − | 0.509711i | ||||
\(491\) | 3.44005 | + | 2.49935i | 0.155247 | + | 0.112794i | 0.662697 | − | 0.748888i | \(-0.269412\pi\) |
−0.507450 | + | 0.861681i | \(0.669412\pi\) | |||||||
\(492\) | 0.143525 | + | 0.658358i | 0.00647061 | + | 0.0296811i | ||||
\(493\) | − | 44.5630i | − | 2.00701i | ||||||
\(494\) | 19.4949 | + | 3.12808i | 0.877118 | + | 0.140739i | ||||
\(495\) | 27.9093 | − | 18.5791i | 1.25443 | − | 0.835068i | ||||
\(496\) | 3.19202 | − | 4.31959i | 0.143326 | − | 0.193955i | ||||
\(497\) | −0.351743 | + | 1.08255i | −0.0157778 | + | 0.0485592i | ||||
\(498\) | −8.00106 | − | 5.11412i | −0.358536 | − | 0.229169i | ||||
\(499\) | − | 10.6074i | − | 0.474853i | −0.971405 | − | 0.237427i | \(-0.923696\pi\) | ||
0.971405 | − | 0.237427i | \(-0.0763040\pi\) | |||||||
\(500\) | −22.1671 | + | 2.93568i | −0.991344 | + | 0.131288i | ||||
\(501\) | −15.6321 | + | 17.6874i | −0.698391 | + | 0.790216i | ||||
\(502\) | −3.88550 | − | 24.8570i | −0.173418 | − | 1.10942i | ||||
\(503\) | 13.4727 | + | 4.37753i | 0.600716 | + | 0.195185i | 0.593560 | − | 0.804790i | \(-0.297722\pi\) |
0.00715644 | + | 0.999974i | \(0.497722\pi\) | |||||||
\(504\) | 7.82678 | + | 0.312661i | 0.348632 | + | 0.0139270i | ||||
\(505\) | 4.69361 | − | 2.34955i | 0.208863 | − | 0.104554i | ||||
\(506\) | −5.11715 | + | 31.8913i | −0.227485 | + | 1.41774i | ||||
\(507\) | 20.2006 | + | 17.8533i | 0.897141 | + | 0.792891i | ||||
\(508\) | 14.8552 | − | 20.2737i | 0.659093 | − | 0.899498i | ||||
\(509\) | 16.2531 | − | 22.3704i | 0.720404 | − | 0.991552i | −0.279106 | − | 0.960260i | \(-0.590038\pi\) |
0.999510 | − | 0.0312914i | \(-0.00996198\pi\) | |||||||
\(510\) | 30.1368 | + | 3.16436i | 1.33448 | + | 0.140120i | ||||
\(511\) | 5.21679 | + | 7.18030i | 0.230777 | + | 0.317638i | ||||
\(512\) | −22.2808 | − | 3.94548i | −0.984681 | − | 0.174367i | ||||
\(513\) | 4.55091 | + | 12.7878i | 0.200927 | + | 0.564597i | ||||
\(514\) | 6.54841 | + | 41.8927i | 0.288838 | + | 1.84781i | ||||
\(515\) | −28.1000 | + | 4.24564i | −1.23823 | + | 0.187085i | ||||
\(516\) | −7.93995 | + | 8.91108i | −0.349537 | + | 0.392288i | ||||
\(517\) | 56.9546 | − | 18.5057i | 2.50486 | − | 0.813879i | ||||
\(518\) | 1.55811 | + | 0.797865i | 0.0684594 | + | 0.0350562i | ||||
\(519\) | −6.42874 | + | 14.8062i | −0.282190 | + | 0.649918i | ||||
\(520\) | 10.0207 | + | 32.2829i | 0.439438 | + | 1.41570i | ||||
\(521\) | 15.3766 | + | 4.99617i | 0.673662 | + | 0.218886i | 0.625819 | − | 0.779969i | \(-0.284765\pi\) |
0.0478438 | + | 0.998855i | \(0.484765\pi\) | |||||||
\(522\) | 26.9087 | + | 21.0658i | 1.17776 | + | 0.922027i | ||||
\(523\) | 11.0818 | − | 8.05138i | 0.484572 | − | 0.352062i | −0.318521 | − | 0.947916i | \(-0.603186\pi\) |
0.803093 | + | 0.595854i | \(0.203186\pi\) | |||||||
\(524\) | −7.39423 | − | 10.2642i | −0.323018 | − | 0.448396i | ||||
\(525\) | 0.875401 | − | 7.94647i | 0.0382056 | − | 0.346812i | ||||
\(526\) | 3.53461 | + | 1.80998i | 0.154116 | + | 0.0789187i | ||||
\(527\) | 4.36649 | + | 6.00995i | 0.190207 | + | 0.261798i | ||||
\(528\) | −7.23892 | − | 33.8622i | −0.315033 | − | 1.47367i | ||||
\(529\) | 0.654730 | − | 2.01505i | 0.0284665 | − | 0.0876110i | ||||
\(530\) | 1.50082 | + | 4.76694i | 0.0651916 | + | 0.207063i | ||||
\(531\) | 9.02252 | − | 4.21871i | 0.391544 | − | 0.183077i | ||||
\(532\) | −3.91318 | + | 2.81900i | −0.169658 | + | 0.122219i | ||||
\(533\) | −0.321258 | − | 0.988729i | −0.0139152 | − | 0.0428266i | ||||
\(534\) | 2.66513 | − | 10.2419i | 0.115331 | − | 0.443211i | ||||
\(535\) | 28.4394 | − | 14.2363i | 1.22954 | − | 0.615490i | ||||
\(536\) | −12.4690 | + | 12.3188i | −0.538579 | + | 0.532090i | ||||
\(537\) | −6.45775 | − | 29.0574i | −0.278672 | − | 1.25392i | ||||
\(538\) | −4.55287 | − | 8.98032i | −0.196288 | − | 0.387169i | ||||
\(539\) | 24.8587 | − | 18.0609i | 1.07074 | − | 0.777938i | ||||
\(540\) | −16.1570 | + | 16.7018i | −0.695288 | + | 0.718731i | ||||
\(541\) | 10.4137 | + | 7.56601i | 0.447721 | + | 0.325288i | 0.788695 | − | 0.614784i | \(-0.210757\pi\) |
−0.340975 | + | 0.940073i | \(0.610757\pi\) | |||||||
\(542\) | 5.49778 | − | 34.2635i | 0.236150 | − | 1.47174i | ||||
\(543\) | 0.856184 | + | 0.756693i | 0.0367424 | + | 0.0324728i | ||||
\(544\) | 14.4892 | − | 27.7402i | 0.621217 | − | 1.18935i | ||||
\(545\) | −0.272586 | + | 1.64511i | −0.0116763 | + | 0.0704687i | ||||
\(546\) | −12.0638 | + | 0.719695i | −0.516283 | + | 0.0308001i | ||||
\(547\) | −4.18948 | + | 12.8939i | −0.179129 | + | 0.551304i | −0.999798 | − | 0.0201009i | \(-0.993601\pi\) |
0.820669 | + | 0.571405i | \(0.193601\pi\) | |||||||
\(548\) | −17.6880 | − | 5.82630i | −0.755593 | − | 0.248887i | ||||
\(549\) | −4.10677 | − | 33.1614i | −0.175273 | − | 1.41529i | ||||
\(550\) | −34.9916 | + | 4.96006i | −1.49205 | + | 0.211498i | ||||
\(551\) | −21.0410 | −0.896378 | ||||||||
\(552\) | −1.24284 | − | 22.3519i | −0.0528986 | − | 0.951358i | ||||
\(553\) | −2.75974 | − | 0.896693i | −0.117356 | − | 0.0381313i | ||||
\(554\) | −8.73291 | + | 8.69770i | −0.371026 | + | 0.369530i | ||||
\(555\) | −4.84428 | + | 1.87136i | −0.205628 | + | 0.0794347i | ||||
\(556\) | 18.2565 | + | 13.3771i | 0.774247 | + | 0.567317i | ||||
\(557\) | −11.1872 | −0.474018 | −0.237009 | − | 0.971508i | \(-0.576167\pi\) | ||||
−0.237009 | + | 0.971508i | \(0.576167\pi\) | |||||||
\(558\) | −5.69315 | − | 0.204390i | −0.241010 | − | 0.00865252i | ||||
\(559\) | 10.8237 | − | 14.8976i | 0.457794 | − | 0.630100i | ||||
\(560\) | −7.29895 | − | 3.85990i | −0.308437 | − | 0.163111i | ||||
\(561\) | 47.6754 | + | 4.56556i | 2.01286 | + | 0.192758i | ||||
\(562\) | −2.01971 | − | 3.98378i | −0.0851964 | − | 0.168046i | ||||
\(563\) | −2.77681 | + | 3.82195i | −0.117029 | + | 0.161076i | −0.863513 | − | 0.504327i | \(-0.831741\pi\) |
0.746484 | + | 0.665404i | \(0.231741\pi\) | |||||||
\(564\) | −35.8370 | + | 20.9400i | −1.50901 | + | 0.881735i | ||||
\(565\) | 2.54943 | − | 15.3862i | 0.107255 | − | 0.647304i | ||||
\(566\) | 7.75428 | − | 3.93129i | 0.325937 | − | 0.165245i | ||||
\(567\) | −4.41732 | − | 7.03655i | −0.185510 | − | 0.295507i | ||||
\(568\) | −3.44789 | + | 0.524690i | −0.144670 | + | 0.0220155i | ||||
\(569\) | 19.6288 | − | 6.37780i | 0.822884 | − | 0.267371i | 0.132839 | − | 0.991138i | \(-0.457591\pi\) |
0.690045 | + | 0.723767i | \(0.257591\pi\) | |||||||
\(570\) | 1.49410 | − | 14.2295i | 0.0625808 | − | 0.596008i | ||||
\(571\) | 16.0774 | + | 5.22386i | 0.672818 | + | 0.218612i | 0.625448 | − | 0.780266i | \(-0.284916\pi\) |
0.0473695 | + | 0.998877i | \(0.484916\pi\) | |||||||
\(572\) | 16.3038 | + | 50.8766i | 0.681697 | + | 2.12726i | ||||
\(573\) | −12.8076 | − | 1.22651i | −0.535047 | − | 0.0512380i | ||||
\(574\) | 0.226029 | + | 0.115744i | 0.00943428 | + | 0.00483104i | ||||
\(575\) | −22.8457 | − | 0.325514i | −0.952731 | − | 0.0135749i | ||||
\(576\) | 9.90120 | + | 21.8624i | 0.412550 | + | 0.910935i | ||||
\(577\) | 11.8737 | + | 16.3428i | 0.494309 | + | 0.680358i | 0.981175 | − | 0.193119i | \(-0.0618602\pi\) |
−0.486867 | + | 0.873476i | \(0.661860\pi\) | |||||||
\(578\) | 13.5804 | + | 13.6354i | 0.564871 | + | 0.567158i | ||||
\(579\) | 1.11683 | + | 1.89375i | 0.0464140 | + | 0.0787017i | ||||
\(580\) | −15.9945 | − | 32.2767i | −0.664134 | − | 1.34022i | ||||
\(581\) | −3.40351 | + | 1.10587i | −0.141202 | + | 0.0458792i | ||||
\(582\) | −10.0807 | − | 25.7043i | −0.417859 | − | 1.06548i | ||||
\(583\) | 2.44087 | + | 7.51222i | 0.101090 | + | 0.311124i | ||||
\(584\) | −12.4923 | + | 24.1544i | −0.516934 | + | 0.999517i | ||||
\(585\) | 22.2446 | − | 28.1176i | 0.919702 | − | 1.16252i | ||||
\(586\) | −1.07069 | − | 6.84963i | −0.0442299 | − | 0.282956i | ||||
\(587\) | −4.51243 | + | 6.21083i | −0.186248 | + | 0.256348i | −0.891923 | − | 0.452187i | \(-0.850644\pi\) |
0.705675 | + | 0.708536i | \(0.250644\pi\) | |||||||
\(588\) | −14.1677 | + | 15.9005i | −0.584265 | + | 0.655726i | ||||
\(589\) | 2.83768 | − | 2.06170i | 0.116925 | − | 0.0849507i | ||||
\(590\) | −10.4984 | − | 0.0960011i | −0.432213 | − | 0.00395230i | ||||
\(591\) | 4.03186 | + | 18.1418i | 0.165849 | + | 0.746255i | ||||
\(592\) | −0.0433444 | + | 5.36331i | −0.00178144 | + | 0.220431i | ||||
\(593\) | −20.3288 | −0.834805 | −0.417403 | − | 0.908722i | \(-0.637060\pi\) | ||||
−0.417403 | + | 0.908722i | \(0.637060\pi\) | |||||||
\(594\) | −25.2940 | + | 26.6299i | −1.03783 | + | 1.09264i | ||||
\(595\) | 8.13246 | − | 8.01741i | 0.333398 | − | 0.328682i | ||||
\(596\) | −5.12938 | − | 16.0064i | −0.210108 | − | 0.655648i | ||||
\(597\) | −6.42461 | − | 10.8939i | −0.262942 | − | 0.445856i | ||||
\(598\) | 5.33416 | + | 34.1246i | 0.218130 | + | 1.39546i | ||||
\(599\) | 38.9972 | 1.59338 | 0.796691 | − | 0.604387i | \(-0.206582\pi\) | ||||
0.796691 | + | 0.604387i | \(0.206582\pi\) | |||||||
\(600\) | 22.9637 | − | 8.52471i | 0.937487 | − | 0.348020i | ||||
\(601\) | −38.8308 | −1.58394 | −0.791970 | − | 0.610559i | \(-0.790945\pi\) | ||||
−0.791970 | + | 0.610559i | \(0.790945\pi\) | |||||||
\(602\) | 0.694664 | + | 4.44403i | 0.0283124 | + | 0.181125i | ||||
\(603\) | 18.2533 | + | 3.52836i | 0.743331 | + | 0.143686i | ||||
\(604\) | −8.13970 | − | 25.4002i | −0.331200 | − | 1.03352i | ||||
\(605\) | −30.9101 | + | 4.67020i | −1.25667 | + | 0.189871i | ||||
\(606\) | −4.44218 | + | 3.65068i | −0.180451 | + | 0.148299i | ||||
\(607\) | −44.2930 | −1.79780 | −0.898899 | − | 0.438156i | \(-0.855632\pi\) | ||||
−0.898899 | + | 0.438156i | \(0.855632\pi\) | |||||||
\(608\) | −13.0979 | − | 6.84125i | −0.531191 | − | 0.277449i | ||||
\(609\) | 12.5722 | − | 2.79406i | 0.509452 | − | 0.113221i | ||||
\(610\) | −11.1901 | + | 33.3974i | −0.453075 | + | 1.35222i | ||||
\(611\) | 51.8082 | − | 37.6409i | 2.09594 | − | 1.52279i | ||||
\(612\) | −32.9592 | + | 3.94657i | −1.33230 | + | 0.159531i | ||||
\(613\) | −9.40630 | + | 12.9467i | −0.379917 | + | 0.522911i | −0.955562 | − | 0.294789i | \(-0.904751\pi\) |
0.575646 | + | 0.817699i | \(0.304751\pi\) | |||||||
\(614\) | −4.32274 | − | 27.6542i | −0.174451 | − | 1.11603i | ||||
\(615\) | −0.702743 | + | 0.271471i | −0.0283373 | + | 0.0109468i | ||||
\(616\) | −11.5914 | − | 5.99489i | −0.467031 | − | 0.241541i | ||||
\(617\) | 12.5200 | + | 38.5326i | 0.504036 | + | 1.55126i | 0.802385 | + | 0.596806i | \(0.203564\pi\) |
−0.298349 | + | 0.954457i | \(0.596436\pi\) | |||||||
\(618\) | 28.9823 | − | 11.3662i | 1.16584 | − | 0.457217i | ||||
\(619\) | 5.37420 | − | 1.74618i | 0.216007 | − | 0.0701851i | −0.199014 | − | 0.979997i | \(-0.563774\pi\) |
0.415022 | + | 0.909812i | \(0.363774\pi\) | |||||||
\(620\) | 5.31970 | + | 2.78577i | 0.213644 | + | 0.111879i | ||||
\(621\) | −18.8151 | + | 14.4840i | −0.755022 | + | 0.581225i | ||||
\(622\) | 5.60975 | + | 5.63246i | 0.224930 | + | 0.225841i | ||||
\(623\) | −2.34431 | − | 3.22666i | −0.0939226 | − | 0.129273i | ||||
\(624\) | −18.5517 | − | 32.0461i | −0.742662 | − | 1.28287i | ||||
\(625\) | −7.04487 | − | 23.9869i | −0.281795 | − | 0.959475i | ||||
\(626\) | −7.70122 | − | 3.94359i | −0.307803 | − | 0.157617i | ||||
\(627\) | 2.15569 | − | 22.5106i | 0.0860901 | − | 0.898986i | ||||
\(628\) | −2.80717 | − | 8.75987i | −0.112018 | − | 0.349557i | ||||
\(629\) | −7.05522 | − | 2.29238i | −0.281310 | − | 0.0914031i | ||||
\(630\) | 0.996815 | + | 8.70067i | 0.0397141 | + | 0.346643i | ||||
\(631\) | 16.7740 | − | 5.45019i | 0.667761 | − | 0.216969i | 0.0445317 | − | 0.999008i | \(-0.485820\pi\) |
0.623229 | + | 0.782039i | \(0.285820\pi\) | |||||||
\(632\) | −1.33759 | − | 8.78966i | −0.0532063 | − | 0.349634i | ||||
\(633\) | 36.4863 | + | 15.8421i | 1.45020 | + | 0.629667i | ||||
\(634\) | −18.8365 | + | 9.54979i | −0.748093 | + | 0.379271i | ||||
\(635\) | 24.9460 | + | 12.9353i | 0.989951 | + | 0.513321i | ||||
\(636\) | −2.76196 | − | 4.72684i | −0.109519 | − | 0.187432i | ||||
\(637\) | 19.3133 | − | 26.5825i | 0.765222 | − | 1.05324i | ||||
\(638\) | −25.7449 | − | 50.7806i | −1.01925 | − | 2.01042i | ||||
\(639\) | 2.52563 | + | 2.70275i | 0.0999122 | + | 0.106919i | ||||
\(640\) | 0.537959 | − | 25.2925i | 0.0212647 | − | 0.999774i | ||||
\(641\) | −10.3972 | + | 14.3106i | −0.410666 | + | 0.565233i | −0.963381 | − | 0.268137i | \(-0.913592\pi\) |
0.552715 | + | 0.833370i | \(0.313592\pi\) | |||||||
\(642\) | −26.9160 | + | 22.1201i | −1.06229 | + | 0.873010i | ||||
\(643\) | 26.2783 | 1.03631 | 0.518157 | − | 0.855286i | \(-0.326618\pi\) | ||||
0.518157 | + | 0.855286i | \(0.326618\pi\) | |||||||
\(644\) | −6.80532 | − | 4.98649i | −0.268167 | − | 0.196495i | ||||
\(645\) | −11.2066 | − | 7.24389i | −0.441261 | − | 0.285228i | ||||
\(646\) | 14.4811 | − | 14.4227i | 0.569752 | − | 0.567455i | ||||
\(647\) | −38.8411 | − | 12.6202i | −1.52700 | − | 0.496153i | −0.579247 | − | 0.815152i | \(-0.696653\pi\) |
−0.947755 | + | 0.318999i | \(0.896653\pi\) | |||||||
\(648\) | 13.1974 | − | 21.7676i | 0.518444 | − | 0.855111i | ||||
\(649\) | −16.5936 | −0.651356 | ||||||||
\(650\) | −33.9477 | + | 16.6073i | −1.33154 | + | 0.651390i | ||||
\(651\) | −1.42177 | + | 1.60870i | −0.0557235 | + | 0.0630501i | ||||
\(652\) | 20.1002 | + | 6.62087i | 0.787186 | + | 0.259293i | ||||
\(653\) | −4.87211 | + | 14.9948i | −0.190661 | + | 0.586793i | −1.00000 | 0.000548626i | \(-0.999825\pi\) | |
0.809339 | + | 0.587341i | \(0.199825\pi\) | |||||||
\(654\) | −0.108783 | − | 1.82345i | −0.00425374 | − | 0.0713027i | ||||
\(655\) | 10.0719 | − | 9.92942i | 0.393542 | − | 0.387975i | ||||
\(656\) | −0.00628782 | + | 0.778037i | −0.000245498 | + | 0.0303772i | ||||
\(657\) | 28.6245 | − | 3.54491i | 1.11675 | − | 0.138300i | ||||
\(658\) | −2.47821 | + | 15.4448i | −0.0966107 | + | 0.602101i | ||||
\(659\) | −31.4418 | − | 22.8438i | −1.22480 | − | 0.889868i | −0.228309 | − | 0.973589i | \(-0.573320\pi\) |
−0.996489 | + | 0.0837207i | \(0.973320\pi\) | |||||||
\(660\) | 36.1697 | − | 13.8047i | 1.40790 | − | 0.537349i | ||||
\(661\) | 5.35251 | − | 3.88883i | 0.208189 | − | 0.151258i | −0.478805 | − | 0.877921i | \(-0.658930\pi\) |
0.686994 | + | 0.726663i | \(0.258930\pi\) | |||||||
\(662\) | 17.7591 | + | 35.0290i | 0.690227 | + | 1.36144i | ||||
\(663\) | 49.9949 | − | 11.1109i | 1.94164 | − | 0.431512i | ||||
\(664\) | −7.70619 | − | 7.80018i | −0.299058 | − | 0.302706i | ||||
\(665\) | −3.78553 | − | 3.83985i | −0.146797 | − | 0.148903i | ||||
\(666\) | 4.71937 | − | 3.17654i | 0.182872 | − | 0.123088i | ||||
\(667\) | −11.3741 | − | 35.0059i | −0.440407 | − | 1.35543i | ||||
\(668\) | −22.1159 | + | 15.9320i | −0.855690 | + | 0.616428i | ||||
\(669\) | −13.5430 | + | 31.1912i | −0.523603 | + | 1.20592i | ||||
\(670\) | −15.7482 | − | 11.6632i | −0.608405 | − | 0.450589i | ||||
\(671\) | −17.2028 | + | 52.9446i | −0.664105 | + | 2.04391i | ||||
\(672\) | 8.73460 | + | 2.34843i | 0.336944 | + | 0.0905926i | ||||
\(673\) | −17.8348 | − | 24.5475i | −0.687482 | − | 0.946237i | 0.312512 | − | 0.949914i | \(-0.398830\pi\) |
−0.999993 | + | 0.00367657i | \(0.998830\pi\) | |||||||
\(674\) | 29.8482 | + | 15.2845i | 1.14971 | + | 0.588736i | ||||
\(675\) | −21.2230 | − | 14.9861i | −0.816875 | − | 0.576815i | ||||
\(676\) | 18.1958 | + | 25.2584i | 0.699838 | + | 0.971476i | ||||
\(677\) | −4.64218 | + | 3.37274i | −0.178414 | + | 0.129625i | −0.673408 | − | 0.739271i | \(-0.735170\pi\) |
0.494994 | + | 0.868896i | \(0.335170\pi\) | |||||||
\(678\) | 1.01741 | + | 17.0543i | 0.0390736 | + | 0.654965i | ||||
\(679\) | −9.89615 | − | 3.21545i | −0.379779 | − | 0.123398i | ||||
\(680\) | 33.1323 | + | 11.2504i | 1.27056 | + | 0.431433i | ||||
\(681\) | 24.2486 | + | 10.5286i | 0.929207 | + | 0.403455i | ||||
\(682\) | 8.44778 | + | 4.32588i | 0.323482 | + | 0.165647i | ||||
\(683\) | 1.67068 | − | 0.542836i | 0.0639267 | − | 0.0207711i | −0.276879 | − | 0.960905i | \(-0.589300\pi\) |
0.340806 | + | 0.940134i | \(0.389300\pi\) | |||||||
\(684\) | 1.86343 | + | 15.5622i | 0.0712500 | + | 0.595034i | ||||
\(685\) | 3.40353 | − | 20.5409i | 0.130042 | − | 0.784828i | ||||
\(686\) | 2.65087 | + | 16.9586i | 0.101211 | + | 0.647482i | ||||
\(687\) | 2.85634 | + | 12.8524i | 0.108976 | + | 0.490351i | ||||
\(688\) | −11.2147 | + | 8.01027i | −0.427556 | + | 0.305389i | ||||
\(689\) | 4.96477 | + | 6.83342i | 0.189143 | + | 0.260332i | ||||
\(690\) | 24.4813 | − | 5.20629i | 0.931986 | − | 0.198200i | ||||
\(691\) | 8.59860 | − | 11.8350i | 0.327106 | − | 0.450223i | −0.613514 | − | 0.789684i | \(-0.710245\pi\) |
0.940620 | + | 0.339461i | \(0.110245\pi\) | |||||||
\(692\) | −11.0164 | + | 15.0346i | −0.418781 | + | 0.571531i | ||||
\(693\) | 1.70116 | + | 13.7366i | 0.0646217 | + | 0.521809i | ||||
\(694\) | 3.96005 | − | 24.6800i | 0.150322 | − | 0.936839i | ||||
\(695\) | −11.6482 | + | 22.4639i | −0.441843 | + | 0.852104i | ||||
\(696\) | 24.9309 | + | 30.5873i | 0.945003 | + | 1.15941i | ||||
\(697\) | −1.02348 | − | 0.332547i | −0.0387669 | − | 0.0125961i | ||||
\(698\) | −7.39415 | − | 47.3032i | −0.279873 | − | 1.79045i | ||||
\(699\) | 12.0698 | + | 10.6673i | 0.456522 | + | 0.403473i | ||||
\(700\) | 3.01270 | − | 8.72586i | 0.113870 | − | 0.329806i | ||||
\(701\) | 8.24525i | 0.311419i | 0.987803 | + | 0.155709i | \(0.0497664\pi\) | ||||
−0.987803 | + | 0.155709i | \(0.950234\pi\) | |||||||
\(702\) | −16.9245 | + | 35.4411i | −0.638773 | + | 1.33764i | ||||
\(703\) | −1.08238 | + | 3.33122i | −0.0408227 | + | 0.125639i | ||||
\(704\) | 0.484685 | − | 39.9813i | 0.0182673 | − | 1.50685i | ||||
\(705\) | −29.2805 | − | 36.0018i | −1.10277 | − | 1.35590i | ||||
\(706\) | 36.2169 | + | 5.81122i | 1.36304 | + | 0.218708i | ||||
\(707\) | 2.16691i | 0.0814952i | ||||||||
\(708\) | 11.2370 | − | 2.44971i | 0.422312 | − | 0.0920659i | ||||
\(709\) | 1.25716 | + | 0.913382i | 0.0472137 | + | 0.0343028i | 0.611142 | − | 0.791521i | \(-0.290710\pi\) |
−0.563928 | + | 0.825824i | \(0.690710\pi\) | |||||||
\(710\) | −1.17097 | − | 3.71926i | −0.0439458 | − | 0.139581i | ||||
\(711\) | −6.89009 | + | 6.43854i | −0.258399 | + | 0.241464i | ||||
\(712\) | 5.61374 | − | 10.8544i | 0.210384 | − | 0.406787i | ||||
\(713\) | 4.96400 | + | 3.60656i | 0.185903 | + | 0.135067i | ||||
\(714\) | −6.73741 | + | 10.5407i | −0.252141 | + | 0.394476i | ||||
\(715\) | −53.4126 | + | 26.7375i | −1.99752 | + | 0.999927i | ||||
\(716\) | 0.138885 | − | 34.3709i | 0.00519036 | − | 1.28450i | ||||
\(717\) | 2.77782 | − | 6.39766i | 0.103740 | − | 0.238925i | ||||
\(718\) | 9.36372 | − | 18.2859i | 0.349451 | − | 0.682424i | ||||
\(719\) | −3.04338 | − | 9.36657i | −0.113499 | − | 0.349314i | 0.878132 | − | 0.478418i | \(-0.158790\pi\) |
−0.991631 | + | 0.129104i | \(0.958790\pi\) | |||||||
\(720\) | −22.4557 | + | 14.6881i | −0.836874 | + | 0.547395i | ||||
\(721\) | 3.62550 | − | 11.1582i | 0.135021 | − | 0.415551i | ||||
\(722\) | 12.1517 | + | 12.2009i | 0.452239 | + | 0.454070i | ||||
\(723\) | −40.8378 | − | 3.91077i | −1.51877 | − | 0.145443i | ||||
\(724\) | 0.771211 | + | 1.07055i | 0.0286618 | + | 0.0397867i | ||||
\(725\) | 32.9165 | − | 23.2060i | 1.22249 | − | 0.861848i | ||||
\(726\) | 31.8805 | − | 12.5029i | 1.18320 | − | 0.464025i | ||||
\(727\) | −34.9308 | + | 25.3787i | −1.29551 | + | 0.941245i | −0.999901 | − | 0.0140629i | \(-0.995523\pi\) |
−0.295612 | + | 0.955308i | \(0.595523\pi\) | |||||||
\(728\) | −13.7695 | − | 2.26652i | −0.510333 | − | 0.0840027i | ||||
\(729\) | −26.9585 | + | 1.49730i | −0.998461 | + | 0.0554554i | ||||
\(730\) | −28.8282 | − | 9.65917i | −1.06698 | − | 0.357502i | ||||
\(731\) | −5.89034 | − | 18.1286i | −0.217862 | − | 0.670510i | ||||
\(732\) | 3.83329 | − | 38.3931i | 0.141682 | − | 1.41905i | ||||
\(733\) | −17.0322 | + | 5.53411i | −0.629100 | + | 0.204407i | −0.606176 | − | 0.795330i | \(-0.707297\pi\) |
−0.0229235 | + | 0.999737i | \(0.507297\pi\) | |||||||
\(734\) | −13.3163 | + | 6.75115i | −0.491515 | + | 0.249190i | ||||
\(735\) | −19.9966 | − | 12.9257i | −0.737586 | − | 0.476770i | ||||
\(736\) | 4.30147 | − | 25.4892i | 0.158554 | − | 0.939543i | ||||
\(737\) | −25.0577 | − | 18.2055i | −0.923014 | − | 0.670609i | ||||
\(738\) | 0.684623 | − | 0.460809i | 0.0252013 | − | 0.0169626i | ||||
\(739\) | 13.9636 | + | 19.2192i | 0.513659 | + | 0.706991i | 0.984531 | − | 0.175210i | \(-0.0560605\pi\) |
−0.470872 | + | 0.882202i | \(0.656061\pi\) | |||||||
\(740\) | −5.93283 | + | 0.871887i | −0.218095 | + | 0.0320512i | ||||
\(741\) | −5.24617 | − | 23.6058i | −0.192723 | − | 0.867180i | ||||
\(742\) | −2.03714 | − | 0.326872i | −0.0747859 | − | 0.0119999i | ||||
\(743\) | − | 17.2663i | − | 0.633439i | −0.948519 | − | 0.316719i | \(-0.897419\pi\) | ||
0.948519 | − | 0.316719i | \(-0.102581\pi\) | |||||||
\(744\) | −6.35937 | − | 1.68229i | −0.233146 | − | 0.0616757i | ||||
\(745\) | 16.8043 | − | 8.41196i | 0.615661 | − | 0.308190i | ||||
\(746\) | 27.6462 | − | 27.5347i | 1.01220 | − | 1.00812i | ||||
\(747\) | −2.20722 | + | 11.4186i | −0.0807579 | + | 0.417785i | ||||
\(748\) | 52.5264 | + | 17.3018i | 1.92056 | + | 0.632618i | ||||
\(749\) | 13.1297i | 0.479749i | ||||||||
\(750\) | 13.3562 | + | 23.9084i | 0.487701 | + | 0.873011i | ||||
\(751\) | 37.0839i | 1.35321i | 0.736346 | + | 0.676605i | \(0.236550\pi\) | ||||
−0.736346 | + | 0.676605i | \(0.763450\pi\) | |||||||
\(752\) | −45.6999 | + | 14.4415i | −1.66650 | + | 0.526629i | ||||
\(753\) | −26.5414 | + | 15.6527i | −0.967222 | + | 0.570416i | ||||
\(754\) | −42.9630 | − | 43.1370i | −1.56462 | − | 1.57096i | ||||
\(755\) | 26.6663 | − | 13.3487i | 0.970486 | − | 0.485810i | ||||
\(756\) | −3.17993 | − | 9.05110i | −0.115653 | − | 0.329185i | ||||
\(757\) | 18.1624i | 0.660122i | 0.943960 | + | 0.330061i | \(0.107069\pi\) | ||||
−0.943960 | + | 0.330061i | \(0.892931\pi\) | |||||||
\(758\) | 1.38813 | − | 8.65114i | 0.0504191 | − | 0.314224i | ||||
\(759\) | 38.6161 | − | 8.58209i | 1.40168 | − | 0.311510i | ||||
\(760\) | 5.31203 | − | 15.6439i | 0.192687 | − | 0.567462i | ||||
\(761\) | 19.2246 | + | 26.4604i | 0.696890 | + | 0.959187i | 0.999981 | + | 0.00622543i | \(0.00198163\pi\) |
−0.303090 | + | 0.952962i | \(0.598018\pi\) | |||||||
\(762\) | −29.7902 | − | 7.75195i | −1.07918 | − | 0.280823i | ||||
\(763\) | −0.556944 | − | 0.404643i | −0.0201627 | − | 0.0146491i | ||||
\(764\) | −14.1109 | − | 4.64802i | −0.510513 | − | 0.168159i | ||||
\(765\) | −10.0125 | − | 35.7366i | −0.362002 | − | 1.29206i | ||||
\(766\) | −18.4445 | − | 36.3809i | −0.666427 | − | 1.31450i | ||||
\(767\) | −16.8758 | + | 5.48329i | −0.609351 | + | 0.197990i | ||||
\(768\) | 5.57422 | + | 27.1464i | 0.201142 | + | 0.979562i | ||||
\(769\) | 12.1780 | + | 37.4800i | 0.439149 | + | 1.35156i | 0.888774 | + | 0.458345i | \(0.151558\pi\) |
−0.449625 | + | 0.893217i | \(0.648442\pi\) | |||||||
\(770\) | 4.63532 | − | 13.8343i | 0.167045 | − | 0.498554i | ||||
\(771\) | 44.7314 | − | 26.3802i | 1.61096 | − | 0.950060i | ||||
\(772\) | 0.774728 | + | 2.41756i | 0.0278831 | + | 0.0870100i | ||||
\(773\) | −31.0914 | + | 22.5892i | −1.11828 | + | 0.812479i | −0.983948 | − | 0.178457i | \(-0.942889\pi\) |
−0.134333 | + | 0.990936i | \(0.542889\pi\) | |||||||
\(774\) | 13.7312 | + | 5.01297i | 0.493557 | + | 0.180187i | ||||
\(775\) | −2.16543 | + | 6.35497i | −0.0777844 | + | 0.228277i | ||||
\(776\) | −4.79645 | − | 31.5189i | −0.172183 | − | 1.13146i | ||||
\(777\) | 0.204375 | − | 2.13417i | 0.00733193 | − | 0.0765628i | ||||
\(778\) | −6.12517 | + | 6.10047i | −0.219598 | + | 0.218712i | ||||
\(779\) | −0.157017 | + | 0.483248i | −0.00562571 | + | 0.0173142i | ||||
\(780\) | 32.2231 | − | 25.9917i | 1.15377 | − | 0.930651i | ||||
\(781\) | −1.90441 | − | 5.86118i | −0.0681452 | − | 0.209730i | ||||
\(782\) | 31.8231 | + | 16.2958i | 1.13799 | + | 0.582735i | ||||
\(783\) | 11.8245 | − | 40.1491i | 0.422574 | − | 1.43481i | ||||
\(784\) | −20.0110 | + | 14.2932i | −0.714677 | + | 0.510470i | ||||
\(785\) | 9.19652 | − | 4.60363i | 0.328238 | − | 0.164311i | ||||
\(786\) | −8.34416 | + | 13.0545i | −0.297626 | + | 0.465637i | ||||
\(787\) | 7.07645 | + | 5.14134i | 0.252248 | + | 0.183269i | 0.706723 | − | 0.707491i | \(-0.250173\pi\) |
−0.454474 | + | 0.890760i | \(0.650173\pi\) | |||||||
\(788\) | −0.0867119 | + | 21.4593i | −0.00308898 | + | 0.764456i | ||||
\(789\) | 0.463631 | − | 4.84141i | 0.0165057 | − | 0.172359i | ||||
\(790\) | 9.48146 | − | 2.98514i | 0.337335 | − | 0.106207i | ||||
\(791\) | 5.20894 | + | 3.78452i | 0.185209 | + | 0.134562i | ||||
\(792\) | −35.2778 | + | 23.5384i | −1.25354 | + | 0.836401i | ||||
\(793\) | 59.5297i | 2.11396i | ||||||||
\(794\) | −0.960750 | + | 5.98762i | −0.0340957 | + | 0.212493i | ||||
\(795\) | 4.74857 | − | 3.86204i | 0.168415 | − | 0.136973i | ||||
\(796\) | −4.45664 | − | 13.9071i | −0.157962 | − | 0.492924i | ||||
\(797\) | 9.17996 | − | 28.2530i | 0.325171 | − | 1.00077i | −0.646192 | − | 0.763175i | \(-0.723640\pi\) |
0.971363 | − | 0.237599i | \(-0.0763604\pi\) | |||||||
\(798\) | 4.97694 | + | 3.18116i | 0.176182 | + | 0.112612i | ||||
\(799\) | − | 66.2889i | − | 2.34513i | ||||||
\(800\) | 28.0355 | − | 3.74317i | 0.991204 | − | 0.132341i | ||||
\(801\) | −12.8632 | + | 1.59300i | −0.454499 | + | 0.0562859i | ||||
\(802\) | −43.1544 | + | 6.74565i | −1.52384 | + | 0.238197i | ||||
\(803\) | −45.7011 | − | 14.8492i | −1.61276 | − | 0.524017i | ||||
\(804\) | 19.6565 | + | 8.62929i | 0.693231 | + | 0.304331i | ||||
\(805\) | 4.34202 | − | 8.37369i | 0.153036 | − | 0.295134i | ||||
\(806\) | 10.0209 | + | 1.60792i | 0.352972 | + | 0.0566366i | ||||
\(807\) | −8.16619 | + | 9.23989i | −0.287463 | + | 0.325259i | ||||
\(808\) | −5.93384 | + | 2.97828i | −0.208752 | + | 0.104775i | ||||
\(809\) | 14.2454 | − | 19.6072i | 0.500843 | − | 0.689351i | −0.481499 | − | 0.876447i | \(-0.659907\pi\) |
0.982342 | + | 0.187096i | \(0.0599075\pi\) | |||||||
\(810\) | 26.3122 | + | 10.8476i | 0.924515 | + | 0.381144i | ||||
\(811\) | 23.9705 | + | 32.9926i | 0.841718 | + | 1.15853i | 0.985627 | + | 0.168935i | \(0.0540328\pi\) |
−0.143909 | + | 0.989591i | \(0.545967\pi\) | |||||||
\(812\) | 14.8712 | + | 0.0600910i | 0.521877 | + | 0.00210878i | ||||
\(813\) | −41.4885 | + | 9.22045i | −1.45507 | + | 0.323375i | ||||
\(814\) | −9.36394 | + | 1.46372i | −0.328206 | + | 0.0513032i | ||||
\(815\) | −3.86770 | + | 23.3422i | −0.135480 | + | 0.817643i | ||||
\(816\) | −38.1246 | − | 3.96212i | −1.33463 | − | 0.138702i | ||||
\(817\) | −8.55967 | + | 2.78120i | −0.299465 | + | 0.0973020i | ||||
\(818\) | −15.9372 | + | 31.1230i | −0.557232 | + | 1.08819i | ||||
\(819\) | 6.26928 | + | 13.4081i | 0.219066 | + | 0.468515i | ||||
\(820\) | −0.860656 | + | 0.126482i | −0.0300554 | + | 0.00441693i | ||||
\(821\) | 12.1708 | + | 3.95452i | 0.424762 | + | 0.138014i | 0.513595 | − | 0.858033i | \(-0.328314\pi\) |
−0.0888323 | + | 0.996047i | \(0.528314\pi\) | |||||||
\(822\) | 1.35827 | + | 22.7678i | 0.0473750 | + | 0.794117i | ||||
\(823\) | −31.3933 | + | 22.8086i | −1.09430 | + | 0.795056i | −0.980120 | − | 0.198404i | \(-0.936424\pi\) |
−0.114181 | + | 0.993460i | \(0.536424\pi\) | |||||||
\(824\) | 35.5383 | − | 5.40812i | 1.23804 | − | 0.188401i | ||||
\(825\) | 21.4544 | + | 37.5930i | 0.746946 | + | 1.30882i | ||||
\(826\) | 1.97553 | − | 3.85791i | 0.0687376 | − | 0.134234i | ||||
\(827\) | 15.7301 | + | 21.6507i | 0.546990 | + | 0.752867i | 0.989600 | − | 0.143847i | \(-0.0459473\pi\) |
−0.442610 | + | 0.896714i | \(0.645947\pi\) | |||||||
\(828\) | −24.8834 | + | 11.5126i | −0.864759 | + | 0.400090i | ||||
\(829\) | 2.15107 | − | 6.62031i | 0.0747097 | − | 0.229933i | −0.906727 | − | 0.421717i | \(-0.861427\pi\) |
0.981437 | + | 0.191785i | \(0.0614275\pi\) | |||||||
\(830\) | 7.29610 | − | 9.85151i | 0.253251 | − | 0.341951i | ||||
\(831\) | 13.8465 | + | 6.01206i | 0.480330 | + | 0.208556i | ||||
\(832\) | −12.7187 | − | 40.8215i | −0.440943 | − | 1.41523i | ||||
\(833\) | −10.5104 | − | 32.3478i | −0.364165 | − | 1.12079i | ||||
\(834\) | 6.98064 | − | 26.8261i | 0.241720 | − | 0.928912i | ||||
\(835\) | −21.3945 | − | 21.7015i | −0.740387 | − | 0.751011i | ||||
\(836\) | 8.16930 | − | 24.8011i | 0.282541 | − | 0.857764i | ||||
\(837\) | 2.33929 | + | 6.57331i | 0.0808577 | + | 0.227207i | ||||
\(838\) | 0.561200 | − | 0.284519i | 0.0193863 | − | 0.00982854i | ||||
\(839\) | −30.9966 | + | 22.5204i | −1.07012 | + | 0.777489i | −0.975934 | − | 0.218065i | \(-0.930025\pi\) |
−0.0941877 | + | 0.995554i | \(0.530025\pi\) | |||||||
\(840\) | −1.09662 | + | 10.0527i | −0.0378371 | + | 0.346853i | ||||
\(841\) | 29.0279 | + | 21.0900i | 1.00096 | + | 0.727242i | ||||
\(842\) | 48.1893 | + | 7.73226i | 1.66071 | + | 0.266471i | ||||
\(843\) | −3.62263 | + | 4.09893i | −0.124770 | + | 0.141175i | ||||
\(844\) | 37.0493 | + | 27.1473i | 1.27529 | + | 0.934449i | ||||
\(845\) | −24.7851 | + | 24.4344i | −0.852632 | + | 0.840570i | ||||
\(846\) | 40.0276 | + | 31.3362i | 1.37618 | + | 1.07736i | ||||
\(847\) | 3.98806 | − | 12.2740i | 0.137031 | − | 0.421739i | ||||
\(848\) | −1.90481 | − | 6.02774i | −0.0654116 | − | 0.206993i | ||||
\(849\) | −7.97841 | − | 7.05130i | −0.273818 | − | 0.242000i | ||||
\(850\) | −6.74749 | + | 38.5340i | −0.231437 | + | 1.32170i | ||||
\(851\) | −6.12725 | −0.210039 | ||||||||
\(852\) | 2.15493 | + | 3.68797i | 0.0738268 | + | 0.126348i | ||||
\(853\) | 3.96080 | + | 1.28694i | 0.135615 | + | 0.0440641i | 0.376038 | − | 0.926604i | \(-0.377286\pi\) |
−0.240423 | + | 0.970668i | \(0.577286\pi\) | |||||||
\(854\) | −10.2613 | − | 10.3028i | −0.351133 | − | 0.352555i | ||||
\(855\) | −16.8735 | + | 4.72753i | −0.577063 | + | 0.161678i | ||||
\(856\) | −35.9542 | + | 18.0459i | −1.22889 | + | 0.616796i | ||||
\(857\) | −57.3544 | −1.95919 | −0.979594 | − | 0.200987i | \(-0.935585\pi\) | ||||
−0.979594 | + | 0.200987i | \(0.935585\pi\) | |||||||
\(858\) | 50.5514 | − | 41.5442i | 1.72580 | − | 1.41830i | ||||
\(859\) | −19.7171 | + | 27.1383i | −0.672740 | + | 0.925947i | −0.999819 | − | 0.0190503i | \(-0.993936\pi\) |
0.327079 | + | 0.944997i | \(0.393936\pi\) | |||||||
\(860\) | −10.7730 | − | 11.0163i | −0.367357 | − | 0.375653i | ||||
\(861\) | 0.0296480 | − | 0.309596i | 0.00101040 | − | 0.0105510i | ||||
\(862\) | −36.8331 | + | 18.6737i | −1.25454 | + | 0.636030i | ||||
\(863\) | −29.5943 | + | 40.7331i | −1.00740 | + | 1.38657i | −0.0867317 | + | 0.996232i | \(0.527642\pi\) |
−0.920671 | + | 0.390339i | \(0.872358\pi\) | |||||||
\(864\) | 20.4148 | − | 21.1480i | 0.694524 | − | 0.719470i | ||||
\(865\) | −18.4996 | − | 9.59260i | −0.629004 | − | 0.326158i | ||||
\(866\) | 4.42859 | + | 8.73519i | 0.150490 | + | 0.296834i | ||||
\(867\) | 9.38712 | − | 21.6197i | 0.318803 | − | 0.734242i | ||||
\(868\) | −2.01148 | + | 1.44905i | −0.0682742 | + | 0.0491838i | ||||
\(869\) | 14.9418 | − | 4.85489i | 0.506867 | − | 0.164691i | ||||
\(870\) | −29.5174 | + | 32.7892i | −1.00073 | + | 1.11166i | ||||
\(871\) | −31.4999 | − | 10.2349i | −1.06733 | − | 0.346797i | ||||
\(872\) | 0.342586 | − | 2.08128i | 0.0116014 | − | 0.0704810i | ||||
\(873\) | −24.7072 | + | 23.0880i | −0.836212 | + | 0.781410i | ||||
\(874\) | 7.69427 | − | 15.0257i | 0.260263 | − | 0.508253i | ||||
\(875\) | 10.1570 | + | 1.83201i | 0.343370 | + | 0.0619334i | ||||
\(876\) | 33.1405 | + | 3.30884i | 1.11971 | + | 0.111795i | ||||
\(877\) | 2.26045 | + | 3.11125i | 0.0763301 | + | 0.105059i | 0.845475 | − | 0.534015i | \(-0.179318\pi\) |
−0.769145 | + | 0.639075i | \(0.779318\pi\) | |||||||
\(878\) | 6.94028 | − | 6.91229i | 0.234223 | − | 0.233279i | ||||
\(879\) | −7.31378 | + | 4.31328i | −0.246688 | + | 0.145483i | ||||
\(880\) | 44.2546 | − | 6.32106i | 1.49182 | − | 0.213083i | ||||
\(881\) | 36.9147 | − | 11.9943i | 1.24369 | − | 0.404098i | 0.388033 | − | 0.921646i | \(-0.373155\pi\) |
0.855655 | + | 0.517547i | \(0.173155\pi\) | |||||||
\(882\) | 24.5013 | + | 8.94492i | 0.825001 | + | 0.301191i | ||||
\(883\) | −0.390534 | − | 1.20194i | −0.0131425 | − | 0.0404485i | 0.944270 | − | 0.329171i | \(-0.106769\pi\) |
−0.957413 | + | 0.288723i | \(0.906769\pi\) | |||||||
\(884\) | 59.1371 | + | 0.238959i | 1.98900 | + | 0.00803706i | ||||
\(885\) | 4.63353 | + | 11.9946i | 0.155754 | + | 0.403193i | ||||
\(886\) | 36.7215 | − | 5.74009i | 1.23368 | − | 0.192842i | ||||
\(887\) | 11.2338 | − | 15.4620i | 0.377195 | − | 0.519164i | −0.577644 | − | 0.816289i | \(-0.696028\pi\) |
0.954839 | + | 0.297125i | \(0.0960278\pi\) | |||||||
\(888\) | 6.12506 | − | 2.37361i | 0.205544 | − | 0.0796532i | ||||
\(889\) | −9.38525 | + | 6.81878i | −0.314771 | + | 0.228695i | ||||
\(890\) | 12.9547 | + | 4.34061i | 0.434244 | + | 0.145497i | ||||
\(891\) | 41.7418 | + | 16.7638i | 1.39840 | + | 0.561607i | ||||
\(892\) | −23.2076 | + | 31.6725i | −0.777047 | + | 1.06048i | ||||
\(893\) | −31.2992 | −1.04739 | ||||||||
\(894\) | −15.9041 | + | 13.0703i | −0.531912 | + | 0.437137i | ||||
\(895\) | 37.9969 | − | 5.74096i | 1.27010 | − | 0.191899i | ||||
\(896\) | 9.23771 | + | 4.87262i | 0.308610 | + | 0.162783i | ||||
\(897\) | 36.4370 | − | 21.4886i | 1.21660 | − | 0.717484i | ||||
\(898\) | 9.87729 | − | 1.54396i | 0.329609 | − | 0.0515226i | ||||
\(899\) | −10.8157 | −0.360723 | ||||||||
\(900\) | −20.0785 | − | 22.2902i | −0.669284 | − | 0.743007i | ||||
\(901\) | 8.74340 | 0.291285 | ||||||||
\(902\) | −1.35839 | + | 0.212336i | −0.0452296 | + | 0.00707002i | ||||
\(903\) | 4.74517 | − | 2.79845i | 0.157909 | − | 0.0931264i | ||||
\(904\) | −3.20412 | + | 19.4657i | −0.106567 | + | 0.647418i | ||||
\(905\) | −1.05049 | + | 1.03563i | −0.0349195 | + | 0.0344255i | ||||
\(906\) | −25.2378 | + | 20.7410i | −0.838471 | + | 0.689073i | ||||
\(907\) | 45.1021 | 1.49759 | 0.748796 | − | 0.662800i | \(-0.230632\pi\) | ||||
0.748796 | + | 0.662800i | \(0.230632\pi\) | |||||||
\(908\) | 24.6227 | + | 18.0419i | 0.817134 | + | 0.598742i | ||||
\(909\) | 6.16268 | + | 3.40764i | 0.204403 | + | 0.113024i | ||||
\(910\) | 0.142664 | − | 15.6013i | 0.00472926 | − | 0.517179i | ||||
\(911\) | −26.1153 | + | 18.9739i | −0.865240 | + | 0.628634i | −0.929305 | − | 0.369312i | \(-0.879593\pi\) |
0.0640655 | + | 0.997946i | \(0.479593\pi\) | |||||||
\(912\) | −1.87077 | + | 18.0010i | −0.0619474 | + | 0.596074i | ||||
\(913\) | 11.3887 | − | 15.6753i | 0.376912 | − | 0.518775i | ||||
\(914\) | 54.6044 | − | 8.53544i | 1.80615 | − | 0.282327i | ||||
\(915\) | 43.0742 | − | 2.34916i | 1.42399 | − | 0.0776608i | ||||
\(916\) | −0.0614303 | + | 15.2027i | −0.00202971 | + | 0.502310i | ||||
\(917\) | 1.80433 | + | 5.55315i | 0.0595841 | + | 0.183381i | ||||
\(918\) | 19.3825 | + | 35.7372i | 0.639718 | + | 1.17950i | ||||
\(919\) | −32.6892 | + | 10.6214i | −1.07832 | + | 0.350366i | −0.793721 | − | 0.608282i | \(-0.791859\pi\) |
−0.284595 | + | 0.958648i | \(0.591859\pi\) | |||||||
\(920\) | 28.8982 | + | 0.381039i | 0.952745 | + | 0.0125625i | ||||
\(921\) | −29.5281 | + | 17.4141i | −0.972984 | + | 0.573814i | ||||
\(922\) | 34.3669 | − | 34.2283i | 1.13181 | − | 1.12725i | ||||
\(923\) | −3.87361 | − | 5.33156i | −0.127501 | − | 0.175491i | ||||
\(924\) | −1.58787 | + | 15.9037i | −0.0522372 | + | 0.523194i | ||||
\(925\) | −1.98071 | − | 6.40509i | −0.0651253 | − | 0.210598i | ||||
\(926\) | −26.7839 | + | 52.3049i | −0.880175 | + | 1.71885i | ||||
\(927\) | −26.0323 | − | 27.8580i | −0.855012 | − | 0.914976i | ||||
\(928\) | 20.2749 | + | 40.8057i | 0.665557 | + | 1.33951i | ||||
\(929\) | 40.5197 | + | 13.1656i | 1.32941 | + | 0.431950i | 0.885715 | − | 0.464229i | \(-0.153669\pi\) |
0.443692 | + | 0.896179i | \(0.353669\pi\) | |||||||
\(930\) | 0.768006 | − | 7.31435i | 0.0251839 | − | 0.239847i | ||||
\(931\) | −15.2735 | + | 4.96265i | −0.500568 | + | 0.162644i | ||||
\(932\) | 10.8719 | + | 15.0918i | 0.356122 | + | 0.494348i | ||||
\(933\) | 3.87759 | − | 8.93057i | 0.126947 | − | 0.292374i | ||||
\(934\) | 4.65693 | + | 9.18557i | 0.152379 | + | 0.300561i | ||||
\(935\) | −10.1072 | + | 60.9985i | −0.330540 | + | 1.99487i | ||||
\(936\) | −28.0997 | + | 35.5962i | −0.918466 | + | 1.16350i | ||||
\(937\) | 22.4653 | − | 30.9208i | 0.733909 | − | 1.01014i | −0.265037 | − | 0.964238i | \(-0.585384\pi\) |
0.998946 | − | 0.0459007i | \(-0.0146158\pi\) | |||||||
\(938\) | 7.21590 | − | 3.65834i | 0.235607 | − | 0.119449i | ||||
\(939\) | −1.01016 | + | 10.5485i | −0.0329654 | + | 0.344237i | ||||
\(940\) | −23.7923 | − | 48.0127i | −0.776019 | − | 1.56600i | ||||
\(941\) | 5.01920 | − | 6.90834i | 0.163621 | − | 0.225205i | −0.719332 | − | 0.694667i | \(-0.755552\pi\) |
0.882953 | + | 0.469461i | \(0.155552\pi\) | |||||||
\(942\) | −8.70388 | + | 7.15303i | −0.283588 | + | 0.233058i | ||||
\(943\) | −0.888858 | −0.0289452 | ||||||||
\(944\) | 13.2797 | + | 0.107322i | 0.432217 | + | 0.00349302i | ||||
\(945\) | 9.45434 | − | 5.06541i | 0.307550 | − | 0.164778i | ||||
\(946\) | −17.1854 | − | 17.2550i | −0.558746 | − | 0.561009i | ||||
\(947\) | 8.32894 | + | 2.70624i | 0.270654 | + | 0.0879409i | 0.441200 | − | 0.897409i | \(-0.354553\pi\) |
−0.170546 | + | 0.985350i | \(0.554553\pi\) | |||||||
\(948\) | −9.40170 | + | 5.49354i | −0.305353 | + | 0.178422i | ||||
\(949\) | −51.3853 | −1.66804 | ||||||||
\(950\) | 18.1944 | + | 3.18592i | 0.590303 | + | 0.103365i | ||||
\(951\) | 19.3810 | + | 17.1288i | 0.628470 | + | 0.555441i | ||||
\(952\) | −10.2761 | + | 10.1522i | −0.333049 | + | 0.329036i | ||||
\(953\) | 10.1674 | − | 31.2920i | 0.329354 | − | 1.01365i | −0.640083 | − | 0.768306i | \(-0.721100\pi\) |
0.969437 | − | 0.245341i | \(-0.0789001\pi\) | |||||||
\(954\) | −4.13319 | + | 5.27958i | −0.133817 | + | 0.170933i | ||||
\(955\) | 2.71522 | − | 16.3868i | 0.0878624 | − | 0.530265i | ||||
\(956\) | 4.76013 | − | 6.49639i | 0.153954 | − | 0.210108i | ||||
\(957\) | −46.1769 | + | 52.2483i | −1.49269 | + | 1.68895i | ||||
\(958\) | −39.3329 | − | 6.31121i | −1.27079 | − | 0.203906i | ||||
\(959\) | 6.95403 | + | 5.05240i | 0.224557 | + | 0.163151i | ||||
\(960\) | −29.0355 | + | 10.8139i | −0.937117 | + | 0.349016i | ||||
\(961\) | −23.6209 | + | 17.1616i | −0.761964 | + | 0.553599i | ||||
\(962\) | −9.03953 | + | 4.58289i | −0.291446 | + | 0.147758i | ||||
\(963\) | 37.3407 | + | 20.6475i | 1.20329 | + | 0.665357i | ||||
\(964\) | −44.9931 | − | 14.8204i | −1.44913 | − | 0.477333i | ||||
\(965\) | −2.53807 | + | 1.27052i | −0.0817034 | + | 0.0408995i | ||||
\(966\) | −2.60212 | + | 9.99976i | −0.0837218 | + | 0.321737i | ||||
\(967\) | 2.44338 | + | 7.51995i | 0.0785738 | + | 0.241825i | 0.982626 | − | 0.185597i | \(-0.0594218\pi\) |
−0.904052 | + | 0.427422i | \(0.859422\pi\) | |||||||
\(968\) | 39.0922 | − | 5.94894i | 1.25647 | − | 0.191206i | ||||
\(969\) | −22.9606 | − | 9.96935i | −0.737601 | − | 0.320262i | ||||
\(970\) | 33.9996 | − | 10.7044i | 1.09166 | − | 0.343698i | ||||
\(971\) | −8.89372 | + | 27.3721i | −0.285413 | + | 0.878411i | 0.700861 | + | 0.713297i | \(0.252799\pi\) |
−0.986275 | + | 0.165114i | \(0.947201\pi\) | |||||||
\(972\) | −30.7419 | − | 5.18987i | −0.986047 | − | 0.166465i | ||||
\(973\) | −6.14032 | − | 8.45143i | −0.196850 | − | 0.270940i | ||||
\(974\) | −3.41417 | + | 6.66735i | −0.109397 | + | 0.213636i | ||||
\(975\) | 34.2417 | + | 31.1428i | 1.09661 | + | 0.997369i | ||||
\(976\) | 14.1096 | − | 42.2598i | 0.451638 | − | 1.35270i | ||||
\(977\) | 13.9480 | − | 10.1338i | 0.446235 | − | 0.324209i | −0.341872 | − | 0.939746i | \(-0.611061\pi\) |
0.788108 | + | 0.615537i | \(0.211061\pi\) | |||||||
\(978\) | −1.54350 | − | 25.8728i | −0.0493558 | − | 0.827320i | ||||
\(979\) | 20.5370 | + | 6.67288i | 0.656366 | + | 0.213266i | ||||
\(980\) | −19.2229 | − | 19.6570i | −0.614053 | − | 0.627919i | ||||
\(981\) | −2.02664 | + | 0.947608i | −0.0647056 | + | 0.0302548i | ||||
\(982\) | 2.74086 | − | 5.35248i | 0.0874644 | − | 0.170805i | ||||
\(983\) | 23.5890 | − | 7.66453i | 0.752372 | − | 0.244461i | 0.0923706 | − | 0.995725i | \(-0.470556\pi\) |
0.660002 | + | 0.751264i | \(0.270556\pi\) | |||||||
\(984\) | 0.888542 | − | 0.344331i | 0.0283257 | − | 0.0109769i | ||||
\(985\) | −23.7232 | + | 3.58434i | −0.755883 | + | 0.114207i | ||||
\(986\) | −62.2654 | + | 9.73296i | −1.98294 | + | 0.309961i | ||||
\(987\) | 18.7016 | − | 4.15626i | 0.595279 | − | 0.132295i | ||||
\(988\) | 0.112828 | − | 27.9224i | 0.00358953 | − | 0.888331i | ||||
\(989\) | −9.25417 | − | 12.7373i | −0.294266 | − | 0.405022i | ||||
\(990\) | −32.0552 | − | 34.9384i | −1.01878 | − | 1.11041i | ||||
\(991\) | 5.57258 | − | 7.67000i | 0.177019 | − | 0.243646i | −0.711283 | − | 0.702906i | \(-0.751885\pi\) |
0.888302 | + | 0.459260i | \(0.151885\pi\) | |||||||
\(992\) | −6.73269 | − | 3.51659i | −0.213763 | − | 0.111652i | ||||
\(993\) | 31.8533 | − | 36.0414i | 1.01084 | − | 1.14374i | ||||
\(994\) | 1.58942 | + | 0.255032i | 0.0504133 | + | 0.00808912i | ||||
\(995\) | 14.6003 | − | 7.30869i | 0.462861 | − | 0.231701i | ||||
\(996\) | −5.39818 | + | 12.2964i | −0.171048 | + | 0.389627i | ||||
\(997\) | 0.0313766 | + | 0.0101949i | 0.000993707 | + | 0.000322875i | 0.309514 | − | 0.950895i | \(-0.399834\pi\) |
−0.308520 | + | 0.951218i | \(0.599834\pi\) | |||||||
\(998\) | −14.8212 | + | 2.31676i | −0.469156 | + | 0.0733357i | ||||
\(999\) | −5.74815 | − | 3.93739i | −0.181863 | − | 0.124573i |
(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 | 300.2.r.a.239.26 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.239.31 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.239.47 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.239.10 | yes | 224 | |
25.9 | even | 10 | inner | 300.2.r.a.59.10 | ✓ | 224 | |
75.59 | odd | 10 | inner | 300.2.r.a.59.47 | yes | 224 | |
100.59 | odd | 10 | inner | 300.2.r.a.59.31 | yes | 224 | |
300.59 | even | 10 | inner | 300.2.r.a.59.26 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.10 | ✓ | 224 | 25.9 | even | 10 | inner | |
300.2.r.a.59.26 | yes | 224 | 300.59 | even | 10 | inner | |
300.2.r.a.59.31 | yes | 224 | 100.59 | odd | 10 | inner | |
300.2.r.a.59.47 | yes | 224 | 75.59 | odd | 10 | inner | |
300.2.r.a.239.10 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.239.26 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.239.31 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.47 | yes | 224 | 4.3 | odd | 2 | inner |