Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [41,2,Mod(2,41)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(41, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("41.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 41.g (of order \(20\), 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: | \(0.327386648287\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Character | \(\chi\) | \(=\) | 41.2 |
Dual form | 41.2.g.a.21.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40718 | + | 0.457221i | −0.995028 | + | 0.323304i | −0.760877 | − | 0.648896i | \(-0.775231\pi\) |
−0.234151 | + | 0.972200i | \(0.575231\pi\) | |||||||
\(3\) | −1.90046 | + | 1.90046i | −1.09723 | + | 1.09723i | −0.102497 | + | 0.994733i | \(0.532683\pi\) |
−0.994733 | + | 0.102497i | \(0.967317\pi\) | |||||||
\(4\) | 0.153075 | − | 0.111216i | 0.0765376 | − | 0.0556078i | ||||
\(5\) | −0.455161 | − | 0.626475i | −0.203554 | − | 0.280168i | 0.695020 | − | 0.718991i | \(-0.255396\pi\) |
−0.898574 | + | 0.438823i | \(0.855396\pi\) | |||||||
\(6\) | 1.80536 | − | 3.54322i | 0.737036 | − | 1.44651i | ||||
\(7\) | 2.12336 | + | 4.16732i | 0.802553 | + | 1.57510i | 0.818000 | + | 0.575218i | \(0.195083\pi\) |
−0.0154469 | + | 0.999881i | \(0.504917\pi\) | |||||||
\(8\) | 1.57482 | − | 2.16755i | 0.556782 | − | 0.766345i | ||||
\(9\) | − | 4.22349i | − | 1.40783i | ||||||
\(10\) | 0.926931 | + | 0.673455i | 0.293121 | + | 0.212965i | ||||
\(11\) | −0.538340 | + | 0.0852647i | −0.162316 | + | 0.0257083i | −0.237063 | − | 0.971494i | \(-0.576185\pi\) |
0.0747477 | + | 0.997202i | \(0.476185\pi\) | |||||||
\(12\) | −0.0795524 | + | 0.502274i | −0.0229648 | + | 0.144994i | ||||
\(13\) | −0.808560 | − | 0.411982i | −0.224254 | − | 0.114263i | 0.338254 | − | 0.941055i | \(-0.390164\pi\) |
−0.562508 | + | 0.826792i | \(0.690164\pi\) | |||||||
\(14\) | −4.89333 | − | 4.89333i | −1.30780 | − | 1.30780i | ||||
\(15\) | 2.05560 | + | 0.325576i | 0.530755 | + | 0.0840633i | ||||
\(16\) | −1.34194 | + | 4.13008i | −0.335486 | + | 1.03252i | ||||
\(17\) | 0.937351 | + | 5.91820i | 0.227341 | + | 1.43537i | 0.792238 | + | 0.610212i | \(0.208916\pi\) |
−0.564897 | + | 0.825161i | \(0.691084\pi\) | |||||||
\(18\) | 1.93107 | + | 5.94322i | 0.455157 | + | 1.40083i | ||||
\(19\) | 3.90401 | − | 1.98919i | 0.895641 | − | 0.456352i | 0.0553374 | − | 0.998468i | \(-0.482377\pi\) |
0.840304 | + | 0.542116i | \(0.182377\pi\) | |||||||
\(20\) | −0.139348 | − | 0.0452768i | −0.0311591 | − | 0.0101242i | ||||
\(21\) | −11.9552 | − | 3.88447i | −2.60883 | − | 0.847661i | ||||
\(22\) | 0.718557 | − | 0.366123i | 0.153197 | − | 0.0780577i | ||||
\(23\) | −0.323498 | − | 0.995624i | −0.0674539 | − | 0.207602i | 0.911648 | − | 0.410972i | \(-0.134811\pi\) |
−0.979102 | + | 0.203370i | \(0.934811\pi\) | |||||||
\(24\) | 1.12646 | + | 7.11222i | 0.229939 | + | 1.45178i | ||||
\(25\) | 1.35979 | − | 4.18499i | 0.271957 | − | 0.836998i | ||||
\(26\) | 1.32616 | + | 0.210043i | 0.260081 | + | 0.0411927i | ||||
\(27\) | 2.32519 | + | 2.32519i | 0.447484 | + | 0.447484i | ||||
\(28\) | 0.788504 | + | 0.401763i | 0.149013 | + | 0.0759260i | ||||
\(29\) | 0.193017 | − | 1.21866i | 0.0358423 | − | 0.226299i | −0.963265 | − | 0.268554i | \(-0.913454\pi\) |
0.999107 | + | 0.0422549i | \(0.0134542\pi\) | |||||||
\(30\) | −3.04147 | + | 0.481721i | −0.555294 | + | 0.0879499i | ||||
\(31\) | 1.22986 | + | 0.893547i | 0.220890 | + | 0.160486i | 0.692727 | − | 0.721200i | \(-0.256409\pi\) |
−0.471837 | + | 0.881686i | \(0.656409\pi\) | |||||||
\(32\) | − | 1.06686i | − | 0.188595i | ||||||
\(33\) | 0.861051 | − | 1.18514i | 0.149890 | − | 0.206306i | ||||
\(34\) | −4.02495 | − | 7.89940i | −0.690273 | − | 1.35474i | ||||
\(35\) | 1.64425 | − | 3.22703i | 0.277929 | − | 0.545467i | ||||
\(36\) | −0.469718 | − | 0.646511i | −0.0782863 | − | 0.107752i | ||||
\(37\) | 5.87120 | − | 4.26568i | 0.965220 | − | 0.701273i | 0.0108626 | − | 0.999941i | \(-0.496542\pi\) |
0.954357 | + | 0.298668i | \(0.0965423\pi\) | |||||||
\(38\) | −4.58415 | + | 4.58415i | −0.743647 | + | 0.743647i | ||||
\(39\) | 2.31959 | − | 0.753680i | 0.371431 | − | 0.120685i | ||||
\(40\) | −2.07471 | −0.328041 | ||||||||
\(41\) | 6.21116 | − | 1.55612i | 0.970020 | − | 0.243025i | ||||
\(42\) | 18.5992 | 2.86991 | ||||||||
\(43\) | −5.91654 | + | 1.92240i | −0.902263 | + | 0.293163i | −0.723171 | − | 0.690669i | \(-0.757316\pi\) |
−0.179092 | + | 0.983832i | \(0.557316\pi\) | |||||||
\(44\) | −0.0729237 | + | 0.0729237i | −0.0109937 | + | 0.0109937i | ||||
\(45\) | −2.64591 | + | 1.92237i | −0.394429 | + | 0.286569i | ||||
\(46\) | 0.910440 | + | 1.25311i | 0.134237 | + | 0.184761i | ||||
\(47\) | −1.80254 | + | 3.53768i | −0.262927 | + | 0.516023i | −0.984296 | − | 0.176528i | \(-0.943513\pi\) |
0.721369 | + | 0.692551i | \(0.243513\pi\) | |||||||
\(48\) | −5.29874 | − | 10.3994i | −0.764807 | − | 1.50102i | ||||
\(49\) | −8.74342 | + | 12.0343i | −1.24906 | + | 1.71918i | ||||
\(50\) | 6.51076i | 0.920761i | ||||||||
\(51\) | −13.0287 | − | 9.46590i | −1.82438 | − | 1.32549i | ||||
\(52\) | −0.169589 | + | 0.0268603i | −0.0235178 | + | 0.00372485i | ||||
\(53\) | 0.837443 | − | 5.28741i | 0.115032 | − | 0.726281i | −0.860992 | − | 0.508618i | \(-0.830157\pi\) |
0.976024 | − | 0.217663i | \(-0.0698434\pi\) | |||||||
\(54\) | −4.33510 | − | 2.20884i | −0.589932 | − | 0.300585i | ||||
\(55\) | 0.298447 | + | 0.298447i | 0.0402426 | + | 0.0402426i | ||||
\(56\) | 12.3768 | + | 1.96029i | 1.65392 | + | 0.261955i | ||||
\(57\) | −3.63903 | + | 11.1998i | −0.482002 | + | 1.48345i | ||||
\(58\) | 0.285587 | + | 1.80313i | 0.0374994 | + | 0.236762i | ||||
\(59\) | 2.74251 | + | 8.44059i | 0.357045 | + | 1.09887i | 0.954814 | + | 0.297203i | \(0.0960538\pi\) |
−0.597769 | + | 0.801668i | \(0.703946\pi\) | |||||||
\(60\) | 0.350871 | − | 0.178778i | 0.0452972 | − | 0.0230801i | ||||
\(61\) | 1.31994 | + | 0.428873i | 0.169001 | + | 0.0549116i | 0.392295 | − | 0.919839i | \(-0.371681\pi\) |
−0.223295 | + | 0.974751i | \(0.571681\pi\) | |||||||
\(62\) | −2.13919 | − | 0.695064i | −0.271677 | − | 0.0882732i | ||||
\(63\) | 17.6006 | − | 8.96797i | 2.21747 | − | 1.12986i | ||||
\(64\) | −2.19610 | − | 6.75890i | −0.274512 | − | 0.844862i | ||||
\(65\) | 0.109928 | + | 0.694060i | 0.0136349 | + | 0.0860875i | ||||
\(66\) | −0.669787 | + | 2.06139i | −0.0824450 | + | 0.253740i | ||||
\(67\) | −5.56618 | − | 0.881596i | −0.680017 | − | 0.107704i | −0.193135 | − | 0.981172i | \(-0.561866\pi\) |
−0.486881 | + | 0.873468i | \(0.661866\pi\) | |||||||
\(68\) | 0.801681 | + | 0.801681i | 0.0972181 | + | 0.0972181i | ||||
\(69\) | 2.50694 | + | 1.27735i | 0.301800 | + | 0.153775i | ||||
\(70\) | −0.838297 | + | 5.29280i | −0.100196 | + | 0.632611i | ||||
\(71\) | −1.07629 | + | 0.170468i | −0.127732 | + | 0.0202308i | −0.219973 | − | 0.975506i | \(-0.570597\pi\) |
0.0922409 | + | 0.995737i | \(0.470597\pi\) | |||||||
\(72\) | −9.15463 | − | 6.65123i | −1.07888 | − | 0.783855i | ||||
\(73\) | − | 5.61291i | − | 0.656941i | −0.944514 | − | 0.328471i | \(-0.893467\pi\) | ||
0.944514 | − | 0.328471i | \(-0.106533\pi\) | |||||||
\(74\) | −6.31149 | + | 8.68702i | −0.733696 | + | 1.00985i | ||||
\(75\) | 5.36919 | + | 10.5376i | 0.619980 | + | 1.21678i | ||||
\(76\) | 0.376378 | − | 0.738683i | 0.0431735 | − | 0.0847327i | ||||
\(77\) | −1.49841 | − | 2.06239i | −0.170760 | − | 0.235031i | ||||
\(78\) | −2.91948 | + | 2.12113i | −0.330567 | + | 0.240171i | ||||
\(79\) | 8.62379 | − | 8.62379i | 0.970252 | − | 0.970252i | −0.0293183 | − | 0.999570i | \(-0.509334\pi\) |
0.999570 | + | 0.0293183i | \(0.00933364\pi\) | |||||||
\(80\) | 3.19819 | − | 1.03915i | 0.357568 | − | 0.116181i | ||||
\(81\) | 3.83260 | 0.425844 | ||||||||
\(82\) | −8.02874 | + | 5.02962i | −0.886626 | + | 0.555428i | ||||
\(83\) | −13.1576 | −1.44423 | −0.722116 | − | 0.691772i | \(-0.756830\pi\) | ||||
−0.722116 | + | 0.691772i | \(0.756830\pi\) | |||||||
\(84\) | −2.26205 | + | 0.734986i | −0.246810 | + | 0.0801935i | ||||
\(85\) | 3.28096 | − | 3.28096i | 0.355870 | − | 0.355870i | ||||
\(86\) | 7.44668 | − | 5.41033i | 0.802996 | − | 0.583411i | ||||
\(87\) | 1.94919 | + | 2.68283i | 0.208975 | + | 0.287630i | ||||
\(88\) | −0.662972 | + | 1.30116i | −0.0706730 | + | 0.138704i | ||||
\(89\) | −0.885629 | − | 1.73814i | −0.0938764 | − | 0.184243i | 0.839293 | − | 0.543679i | \(-0.182969\pi\) |
−0.933170 | + | 0.359436i | \(0.882969\pi\) | |||||||
\(90\) | 2.84433 | − | 3.91488i | 0.299819 | − | 0.412665i | ||||
\(91\) | − | 4.24431i | − | 0.444925i | ||||||
\(92\) | −0.160248 | − | 0.116427i | −0.0167070 | − | 0.0121384i | ||||
\(93\) | −4.03545 | + | 0.639153i | −0.418457 | + | 0.0662770i | ||||
\(94\) | 0.918996 | − | 5.80231i | 0.0947872 | − | 0.598463i | ||||
\(95\) | −3.02313 | − | 1.54036i | −0.310167 | − | 0.158038i | ||||
\(96\) | 2.02752 | + | 2.02752i | 0.206932 | + | 0.206932i | ||||
\(97\) | −1.91879 | − | 0.303907i | −0.194824 | − | 0.0308571i | 0.0582598 | − | 0.998301i | \(-0.481445\pi\) |
−0.253084 | + | 0.967444i | \(0.581445\pi\) | |||||||
\(98\) | 6.80125 | − | 20.9321i | 0.687030 | − | 2.11446i | ||||
\(99\) | 0.360115 | + | 2.27367i | 0.0361929 | + | 0.228513i | ||||
\(100\) | −0.257287 | − | 0.791847i | −0.0257287 | − | 0.0791847i | ||||
\(101\) | 7.49597 | − | 3.81939i | 0.745877 | − | 0.380043i | −0.0393710 | − | 0.999225i | \(-0.512535\pi\) |
0.785248 | + | 0.619181i | \(0.212535\pi\) | |||||||
\(102\) | 22.6617 | + | 7.36325i | 2.24385 | + | 0.729070i | ||||
\(103\) | 4.08634 | + | 1.32773i | 0.402639 | + | 0.130825i | 0.503334 | − | 0.864092i | \(-0.332107\pi\) |
−0.100695 | + | 0.994917i | \(0.532107\pi\) | |||||||
\(104\) | −2.16632 | + | 1.10380i | −0.212426 | + | 0.108236i | ||||
\(105\) | 3.00800 | + | 9.25767i | 0.293551 | + | 0.903456i | ||||
\(106\) | 1.23908 | + | 7.82324i | 0.120350 | + | 0.759860i | ||||
\(107\) | 3.82695 | − | 11.7782i | 0.369966 | − | 1.13864i | −0.576847 | − | 0.816852i | \(-0.695717\pi\) |
0.946813 | − | 0.321785i | \(-0.104283\pi\) | |||||||
\(108\) | 0.614527 | + | 0.0973316i | 0.0591329 | + | 0.00936574i | ||||
\(109\) | 1.22345 | + | 1.22345i | 0.117185 | + | 0.117185i | 0.763268 | − | 0.646082i | \(-0.223594\pi\) |
−0.646082 | + | 0.763268i | \(0.723594\pi\) | |||||||
\(110\) | −0.556426 | − | 0.283513i | −0.0530531 | − | 0.0270319i | ||||
\(111\) | −3.05123 | + | 19.2647i | −0.289610 | + | 1.82853i | ||||
\(112\) | −20.0608 | + | 3.17732i | −1.89557 | + | 0.300228i | ||||
\(113\) | 0.944802 | + | 0.686439i | 0.0888795 | + | 0.0645747i | 0.631338 | − | 0.775508i | \(-0.282506\pi\) |
−0.542458 | + | 0.840083i | \(0.682506\pi\) | |||||||
\(114\) | − | 17.4240i | − | 1.63191i | ||||||
\(115\) | −0.476490 | + | 0.655832i | −0.0444329 | + | 0.0611566i | ||||
\(116\) | −0.105988 | − | 0.208013i | −0.00984073 | − | 0.0193135i | ||||
\(117\) | −1.74000 | + | 3.41494i | −0.160863 | + | 0.315712i | ||||
\(118\) | −7.71843 | − | 10.6235i | −0.710539 | − | 0.977973i | ||||
\(119\) | −22.6727 | + | 16.4727i | −2.07840 | + | 1.51005i | ||||
\(120\) | 3.94290 | − | 3.94290i | 0.359936 | − | 0.359936i | ||||
\(121\) | −10.1791 | + | 3.30738i | −0.925371 | + | 0.300671i | ||||
\(122\) | −2.05348 | −0.185913 | ||||||||
\(123\) | −8.84671 | + | 14.7614i | −0.797681 | + | 1.33099i | ||||
\(124\) | 0.287638 | 0.0258306 | ||||||||
\(125\) | −6.92304 | + | 2.24943i | −0.619215 | + | 0.201195i | ||||
\(126\) | −20.6669 | + | 20.6669i | −1.84116 | + | 1.84116i | ||||
\(127\) | 8.08534 | − | 5.87434i | 0.717458 | − | 0.521264i | −0.168113 | − | 0.985768i | \(-0.553767\pi\) |
0.885571 | + | 0.464504i | \(0.153767\pi\) | |||||||
\(128\) | 7.43478 | + | 10.2331i | 0.657148 | + | 0.904487i | ||||
\(129\) | 7.59069 | − | 14.8976i | 0.668323 | − | 1.31166i | ||||
\(130\) | −0.472028 | − | 0.926407i | −0.0413996 | − | 0.0812513i | ||||
\(131\) | −0.478992 | + | 0.659276i | −0.0418497 | + | 0.0576012i | −0.829429 | − | 0.558612i | \(-0.811334\pi\) |
0.787579 | + | 0.616213i | \(0.211334\pi\) | |||||||
\(132\) | − | 0.277177i | − | 0.0241252i | ||||||
\(133\) | 16.5792 | + | 12.0455i | 1.43760 | + | 1.04448i | ||||
\(134\) | 8.23570 | − | 1.30441i | 0.711456 | − | 0.112684i | ||||
\(135\) | 0.398339 | − | 2.51501i | 0.0342835 | − | 0.216458i | ||||
\(136\) | 14.3042 | + | 7.28833i | 1.22657 | + | 0.624969i | ||||
\(137\) | −3.04334 | − | 3.04334i | −0.260010 | − | 0.260010i | 0.565048 | − | 0.825058i | \(-0.308858\pi\) |
−0.825058 | + | 0.565048i | \(0.808858\pi\) | |||||||
\(138\) | −4.11175 | − | 0.651237i | −0.350015 | − | 0.0554369i | ||||
\(139\) | 1.55254 | − | 4.77824i | 0.131685 | − | 0.405285i | −0.863375 | − | 0.504563i | \(-0.831653\pi\) |
0.995060 | + | 0.0992785i | \(0.0316535\pi\) | |||||||
\(140\) | −0.107202 | − | 0.676844i | −0.00906019 | − | 0.0572038i | ||||
\(141\) | −3.29756 | − | 10.1489i | −0.277705 | − | 0.854688i | ||||
\(142\) | 1.43660 | − | 0.731983i | 0.120557 | − | 0.0614266i | ||||
\(143\) | 0.470407 | + | 0.152845i | 0.0393374 | + | 0.0127815i | ||||
\(144\) | 17.4433 | + | 5.66769i | 1.45361 | + | 0.472307i | ||||
\(145\) | −0.851313 | + | 0.433765i | −0.0706977 | + | 0.0360223i | ||||
\(146\) | 2.56634 | + | 7.89838i | 0.212392 | + | 0.653675i | ||||
\(147\) | −6.25416 | − | 39.4872i | −0.515834 | − | 3.25685i | ||||
\(148\) | 0.424325 | − | 1.30594i | 0.0348793 | − | 0.107347i | ||||
\(149\) | 7.82798 | + | 1.23983i | 0.641293 | + | 0.101571i | 0.468608 | − | 0.883406i | \(-0.344756\pi\) |
0.172685 | + | 0.984977i | \(0.444756\pi\) | |||||||
\(150\) | −12.3734 | − | 12.3734i | −1.01029 | − | 1.01029i | ||||
\(151\) | −18.4200 | − | 9.38545i | −1.49900 | − | 0.763777i | −0.504002 | − | 0.863702i | \(-0.668140\pi\) |
−0.994995 | + | 0.0999253i | \(0.968140\pi\) | |||||||
\(152\) | 1.83643 | − | 11.5948i | 0.148954 | − | 0.940459i | ||||
\(153\) | 24.9955 | − | 3.95889i | 2.02076 | − | 0.320057i | ||||
\(154\) | 3.05151 | + | 2.21705i | 0.245897 | + | 0.178655i | ||||
\(155\) | − | 1.17718i | − | 0.0945537i | ||||||
\(156\) | 0.271250 | − | 0.373344i | 0.0217174 | − | 0.0298915i | ||||
\(157\) | 5.47977 | + | 10.7546i | 0.437333 | + | 0.858314i | 0.999510 | + | 0.0312976i | \(0.00996395\pi\) |
−0.562177 | + | 0.827017i | \(0.690036\pi\) | |||||||
\(158\) | −8.19226 | + | 16.0782i | −0.651741 | + | 1.27911i | ||||
\(159\) | 8.45697 | + | 11.6400i | 0.670682 | + | 0.923114i | ||||
\(160\) | −0.668358 | + | 0.485591i | −0.0528384 | + | 0.0383893i | ||||
\(161\) | 3.46218 | − | 3.46218i | 0.272858 | − | 0.272858i | ||||
\(162\) | −5.39316 | + | 1.75234i | −0.423727 | + | 0.137677i | ||||
\(163\) | −2.00089 | −0.156722 | −0.0783609 | − | 0.996925i | \(-0.524969\pi\) | ||||
−0.0783609 | + | 0.996925i | \(0.524969\pi\) | |||||||
\(164\) | 0.777709 | − | 0.928981i | 0.0607289 | − | 0.0725413i | ||||
\(165\) | −1.13437 | −0.0883109 | ||||||||
\(166\) | 18.5151 | − | 6.01592i | 1.43705 | − | 0.466926i | ||||
\(167\) | 13.5221 | − | 13.5221i | 1.04638 | − | 1.04638i | 0.0475043 | − | 0.998871i | \(-0.484873\pi\) |
0.998871 | − | 0.0475043i | \(-0.0151268\pi\) | |||||||
\(168\) | −27.2470 | + | 19.7961i | −2.10215 | + | 1.52730i | ||||
\(169\) | −7.15717 | − | 9.85100i | −0.550551 | − | 0.757769i | ||||
\(170\) | −3.11678 | + | 6.11702i | −0.239046 | + | 0.469154i | ||||
\(171\) | −8.40134 | − | 16.4885i | −0.642466 | − | 1.26091i | ||||
\(172\) | −0.691874 | + | 0.952283i | −0.0527549 | + | 0.0726109i | ||||
\(173\) | 6.00388i | 0.456467i | 0.973606 | + | 0.228233i | \(0.0732949\pi\) | ||||
−0.973606 | + | 0.228233i | \(0.926705\pi\) | |||||||
\(174\) | −3.96951 | − | 2.88402i | −0.300928 | − | 0.218637i | ||||
\(175\) | 20.3275 | − | 3.21956i | 1.53661 | − | 0.243376i | ||||
\(176\) | 0.370272 | − | 2.33781i | 0.0279103 | − | 0.176219i | ||||
\(177\) | −21.2530 | − | 10.8290i | −1.59748 | − | 0.813954i | ||||
\(178\) | 2.04096 | + | 2.04096i | 0.152976 | + | 0.152976i | ||||
\(179\) | −9.04156 | − | 1.43204i | −0.675798 | − | 0.107036i | −0.190904 | − | 0.981609i | \(-0.561142\pi\) |
−0.484894 | + | 0.874573i | \(0.661142\pi\) | |||||||
\(180\) | −0.191226 | + | 0.588533i | −0.0142531 | + | 0.0438667i | ||||
\(181\) | 2.98065 | + | 18.8191i | 0.221550 | + | 1.39881i | 0.808169 | + | 0.588950i | \(0.200459\pi\) |
−0.586619 | + | 0.809863i | \(0.699541\pi\) | |||||||
\(182\) | 1.94059 | + | 5.97252i | 0.143846 | + | 0.442712i | ||||
\(183\) | −3.32354 | + | 1.69343i | −0.245683 | + | 0.125182i | ||||
\(184\) | −2.66751 | − | 0.866728i | −0.196652 | − | 0.0638960i | ||||
\(185\) | −5.34468 | − | 1.73659i | −0.392949 | − | 0.127677i | ||||
\(186\) | 5.38638 | − | 2.74450i | 0.394948 | − | 0.201236i | ||||
\(187\) | −1.00923 | − | 3.10608i | −0.0738019 | − | 0.227139i | ||||
\(188\) | 0.117521 | + | 0.742000i | 0.00857112 | + | 0.0541159i | ||||
\(189\) | −4.75262 | + | 14.6270i | −0.345702 | + | 1.06396i | ||||
\(190\) | 4.95838 | + | 0.785330i | 0.359719 | + | 0.0569738i | ||||
\(191\) | 7.96614 | + | 7.96614i | 0.576410 | + | 0.576410i | 0.933912 | − | 0.357503i | \(-0.116372\pi\) |
−0.357503 | + | 0.933912i | \(0.616372\pi\) | |||||||
\(192\) | 17.0186 | + | 8.67141i | 1.22821 | + | 0.625805i | ||||
\(193\) | −1.82911 | + | 11.5486i | −0.131663 | + | 0.831285i | 0.830143 | + | 0.557551i | \(0.188259\pi\) |
−0.961805 | + | 0.273734i | \(0.911741\pi\) | |||||||
\(194\) | 2.83904 | − | 0.449660i | 0.203831 | − | 0.0322837i | ||||
\(195\) | −1.52795 | − | 1.11012i | −0.109419 | − | 0.0794972i | ||||
\(196\) | 2.81456i | 0.201040i | ||||||||
\(197\) | −5.94003 | + | 8.17575i | −0.423210 | + | 0.582498i | −0.966378 | − | 0.257126i | \(-0.917225\pi\) |
0.543168 | + | 0.839624i | \(0.317225\pi\) | |||||||
\(198\) | −1.54632 | − | 3.03482i | −0.109892 | − | 0.215675i | ||||
\(199\) | 3.82058 | − | 7.49832i | 0.270834 | − | 0.531542i | −0.715029 | − | 0.699095i | \(-0.753587\pi\) |
0.985863 | + | 0.167553i | \(0.0535866\pi\) | |||||||
\(200\) | −6.92976 | − | 9.53800i | −0.490008 | − | 0.674438i | ||||
\(201\) | 12.2537 | − | 8.90285i | 0.864311 | − | 0.627959i | ||||
\(202\) | −8.80189 | + | 8.80189i | −0.619299 | + | 0.619299i | ||||
\(203\) | 5.48839 | − | 1.78328i | 0.385209 | − | 0.125162i | ||||
\(204\) | −3.04712 | −0.213341 | ||||||||
\(205\) | −3.80195 | − | 3.18285i | −0.265539 | − | 0.222300i | ||||
\(206\) | −6.35728 | −0.442933 | ||||||||
\(207\) | −4.20501 | + | 1.36629i | −0.292268 | + | 0.0949637i | ||||
\(208\) | 2.78656 | − | 2.78656i | 0.193213 | − | 0.193213i | ||||
\(209\) | −1.93208 | + | 1.40374i | −0.133645 | + | 0.0970984i | ||||
\(210\) | −8.46560 | − | 11.6519i | −0.584182 | − | 0.804058i | ||||
\(211\) | −5.89458 | + | 11.5688i | −0.405800 | + | 0.796427i | −0.999969 | − | 0.00791335i | \(-0.997481\pi\) |
0.594169 | + | 0.804340i | \(0.297481\pi\) | |||||||
\(212\) | −0.459850 | − | 0.902507i | −0.0315827 | − | 0.0619845i | ||||
\(213\) | 1.72148 | − | 2.36942i | 0.117954 | − | 0.162350i | ||||
\(214\) | 18.3238i | 1.25259i | ||||||||
\(215\) | 3.89731 | + | 2.83156i | 0.265794 | + | 0.193111i | ||||
\(216\) | 8.70173 | − | 1.37822i | 0.592078 | − | 0.0937760i | ||||
\(217\) | −1.11226 | + | 7.02254i | −0.0755052 | + | 0.476721i | ||||
\(218\) | −2.28100 | − | 1.16223i | −0.154489 | − | 0.0787160i | ||||
\(219\) | 10.6671 | + | 10.6671i | 0.720816 | + | 0.720816i | ||||
\(220\) | 0.0788768 | + | 0.0124929i | 0.00531788 | + | 0.000842269i | ||||
\(221\) | 1.68029 | − | 5.17139i | 0.113028 | − | 0.347865i | ||||
\(222\) | −4.51460 | − | 28.5041i | −0.303000 | − | 1.91307i | ||||
\(223\) | −5.40722 | − | 16.6417i | −0.362094 | − | 1.11441i | −0.951781 | − | 0.306779i | \(-0.900749\pi\) |
0.589686 | − | 0.807632i | \(-0.299251\pi\) | |||||||
\(224\) | 4.44593 | − | 2.26531i | 0.297056 | − | 0.151358i | ||||
\(225\) | −17.6753 | − | 5.74304i | −1.17835 | − | 0.382869i | ||||
\(226\) | −1.64336 | − | 0.533961i | −0.109315 | − | 0.0355185i | ||||
\(227\) | −24.2713 | + | 12.3668i | −1.61094 | + | 0.820816i | −0.611377 | + | 0.791339i | \(0.709384\pi\) |
−0.999565 | + | 0.0294771i | \(0.990616\pi\) | |||||||
\(228\) | 0.688546 | + | 2.11913i | 0.0456001 | + | 0.140343i | ||||
\(229\) | 3.54084 | + | 22.3560i | 0.233985 | + | 1.47733i | 0.772665 | + | 0.634815i | \(0.218923\pi\) |
−0.538679 | + | 0.842511i | \(0.681077\pi\) | |||||||
\(230\) | 0.370647 | − | 1.14074i | 0.0244398 | − | 0.0752179i | ||||
\(231\) | 6.76715 | + | 1.07181i | 0.445246 | + | 0.0705201i | ||||
\(232\) | −2.33754 | − | 2.33754i | −0.153467 | − | 0.153467i | ||||
\(233\) | 21.5716 | + | 10.9913i | 1.41320 | + | 0.720062i | 0.983160 | − | 0.182747i | \(-0.0584990\pi\) |
0.430041 | + | 0.902809i | \(0.358499\pi\) | |||||||
\(234\) | 0.887113 | − | 5.60101i | 0.0579924 | − | 0.366150i | ||||
\(235\) | 3.03671 | − | 0.480967i | 0.198093 | − | 0.0313748i | ||||
\(236\) | 1.35854 | + | 0.987034i | 0.0884332 | + | 0.0642504i | ||||
\(237\) | 32.7783i | 2.12918i | ||||||||
\(238\) | 24.3729 | − | 33.5465i | 1.57986 | − | 2.17450i | ||||
\(239\) | −10.1154 | − | 19.8526i | −0.654312 | − | 1.28416i | −0.944915 | − | 0.327316i | \(-0.893856\pi\) |
0.290603 | − | 0.956844i | \(-0.406144\pi\) | |||||||
\(240\) | −4.10316 | + | 8.05290i | −0.264858 | + | 0.519813i | ||||
\(241\) | −7.10275 | − | 9.77610i | −0.457528 | − | 0.629734i | 0.516466 | − | 0.856308i | \(-0.327247\pi\) |
−0.973994 | + | 0.226574i | \(0.927247\pi\) | |||||||
\(242\) | 12.8116 | − | 9.30818i | 0.823562 | − | 0.598353i | ||||
\(243\) | −14.2593 | + | 14.2593i | −0.914733 | + | 0.914733i | ||||
\(244\) | 0.249747 | − | 0.0811477i | 0.0159884 | − | 0.00519495i | ||||
\(245\) | 11.5188 | 0.735911 | ||||||||
\(246\) | 5.69970 | − | 24.8169i | 0.363400 | − | 1.58227i | ||||
\(247\) | −3.97613 | −0.252995 | ||||||||
\(248\) | 3.87361 | − | 1.25861i | 0.245975 | − | 0.0799221i | ||||
\(249\) | 25.0054 | − | 25.0054i | 1.58466 | − | 1.58466i | ||||
\(250\) | 8.71348 | − | 6.33072i | 0.551089 | − | 0.400390i | ||||
\(251\) | 4.67048 | + | 6.42836i | 0.294798 | + | 0.405755i | 0.930565 | − | 0.366126i | \(-0.119316\pi\) |
−0.635767 | + | 0.771881i | \(0.719316\pi\) | |||||||
\(252\) | 1.69684 | − | 3.33024i | 0.106891 | − | 0.209785i | ||||
\(253\) | 0.259043 | + | 0.508401i | 0.0162859 | + | 0.0319629i | ||||
\(254\) | −8.69167 | + | 11.9631i | −0.545364 | + | 0.750629i | ||||
\(255\) | 12.4706i | 0.780942i | ||||||||
\(256\) | −3.64196 | − | 2.64604i | −0.227622 | − | 0.165377i | ||||
\(257\) | −23.2164 | + | 3.67711i | −1.44820 | + | 0.229372i | −0.830489 | − | 0.557035i | \(-0.811939\pi\) |
−0.617709 | + | 0.786407i | \(0.711939\pi\) | |||||||
\(258\) | −3.87000 | + | 24.4342i | −0.240936 | + | 1.52121i | ||||
\(259\) | 30.2431 | + | 15.4096i | 1.87921 | + | 0.957508i | ||||
\(260\) | 0.0940176 | + | 0.0940176i | 0.00583072 | + | 0.00583072i | ||||
\(261\) | −5.14700 | − | 0.815204i | −0.318591 | − | 0.0504599i | ||||
\(262\) | 0.372594 | − | 1.14673i | 0.0230189 | − | 0.0708450i | ||||
\(263\) | −3.34437 | − | 21.1155i | −0.206222 | − | 1.30204i | −0.845878 | − | 0.533376i | \(-0.820923\pi\) |
0.639656 | − | 0.768661i | \(-0.279077\pi\) | |||||||
\(264\) | −1.21284 | − | 3.73274i | −0.0746453 | − | 0.229734i | ||||
\(265\) | −3.69360 | + | 1.88198i | −0.226896 | + | 0.115609i | ||||
\(266\) | −28.8374 | − | 9.36984i | −1.76813 | − | 0.574502i | ||||
\(267\) | 4.98637 | + | 1.62017i | 0.305161 | + | 0.0991528i | ||||
\(268\) | −0.950090 | + | 0.484095i | −0.0580360 | + | 0.0295708i | ||||
\(269\) | −8.35420 | − | 25.7116i | −0.509364 | − | 1.56766i | −0.793308 | − | 0.608821i | \(-0.791643\pi\) |
0.283943 | − | 0.958841i | \(-0.408357\pi\) | |||||||
\(270\) | 0.589381 | + | 3.72121i | 0.0358686 | + | 0.226466i | ||||
\(271\) | −3.68892 | + | 11.3533i | −0.224086 | + | 0.689666i | 0.774297 | + | 0.632822i | \(0.218104\pi\) |
−0.998383 | + | 0.0568438i | \(0.981896\pi\) | |||||||
\(272\) | −25.7005 | − | 4.07056i | −1.55832 | − | 0.246814i | ||||
\(273\) | 8.06614 | + | 8.06614i | 0.488185 | + | 0.488185i | ||||
\(274\) | 5.67401 | + | 2.89105i | 0.342780 | + | 0.174655i | ||||
\(275\) | −0.375195 | + | 2.36889i | −0.0226251 | + | 0.142849i | ||||
\(276\) | 0.525811 | − | 0.0832802i | 0.0316501 | − | 0.00501288i | ||||
\(277\) | −11.8657 | − | 8.62092i | −0.712940 | − | 0.517981i | 0.171181 | − | 0.985240i | \(-0.445242\pi\) |
−0.884121 | + | 0.467259i | \(0.845242\pi\) | |||||||
\(278\) | 7.43371i | 0.445844i | ||||||||
\(279\) | 3.77389 | − | 5.19431i | 0.225937 | − | 0.310975i | ||||
\(280\) | −4.40535 | − | 8.64598i | −0.263270 | − | 0.516696i | ||||
\(281\) | 4.85610 | − | 9.53063i | 0.289691 | − | 0.568550i | −0.699596 | − | 0.714539i | \(-0.746636\pi\) |
0.989286 | + | 0.145989i | \(0.0466365\pi\) | |||||||
\(282\) | 9.28054 | + | 12.7736i | 0.552648 | + | 0.760655i | ||||
\(283\) | 15.4306 | − | 11.2110i | 0.917254 | − | 0.666424i | −0.0255849 | − | 0.999673i | \(-0.508145\pi\) |
0.942839 | + | 0.333249i | \(0.108145\pi\) | |||||||
\(284\) | −0.145795 | + | 0.145795i | −0.00865133 | + | 0.00865133i | ||||
\(285\) | 8.67273 | − | 2.81794i | 0.513728 | − | 0.166920i | ||||
\(286\) | −0.731832 | −0.0432742 | ||||||||
\(287\) | 19.6734 | + | 22.5797i | 1.16128 | + | 1.33284i | ||||
\(288\) | −4.50586 | −0.265510 | ||||||||
\(289\) | −17.9785 | + | 5.84156i | −1.05756 | + | 0.343621i | ||||
\(290\) | 0.999625 | − | 0.999625i | 0.0587000 | − | 0.0587000i | ||||
\(291\) | 4.22415 | − | 3.06903i | 0.247624 | − | 0.179909i | ||||
\(292\) | −0.624243 | − | 0.859197i | −0.0365311 | − | 0.0502807i | ||||
\(293\) | 11.7759 | − | 23.1115i | 0.687957 | − | 1.35019i | −0.237519 | − | 0.971383i | \(-0.576334\pi\) |
0.925475 | − | 0.378808i | \(-0.123666\pi\) | |||||||
\(294\) | 26.8551 | + | 52.7061i | 1.56622 | + | 3.07388i | ||||
\(295\) | 4.03953 | − | 5.55994i | 0.235191 | − | 0.323712i | ||||
\(296\) | − | 19.4438i | − | 1.13015i | ||||||
\(297\) | −1.45000 | − | 1.05349i | −0.0841376 | − | 0.0611296i | ||||
\(298\) | −11.5823 | + | 1.83445i | −0.670943 | + | 0.106267i | ||||
\(299\) | −0.148612 | + | 0.938296i | −0.00859443 | + | 0.0542631i | ||||
\(300\) | 1.99384 | + | 1.01591i | 0.115114 | + | 0.0586536i | ||||
\(301\) | −20.5742 | − | 20.5742i | −1.18587 | − | 1.18587i | ||||
\(302\) | 30.2115 | + | 4.78503i | 1.73848 | + | 0.275348i | ||||
\(303\) | −6.98720 | + | 21.5044i | −0.401404 | + | 1.23539i | ||||
\(304\) | 2.97656 | + | 18.7933i | 0.170717 | + | 1.07787i | ||||
\(305\) | −0.332105 | − | 1.02211i | −0.0190163 | − | 0.0585260i | ||||
\(306\) | −33.3631 | + | 16.9993i | −1.90724 | + | 0.971787i | ||||
\(307\) | −8.23334 | − | 2.67517i | −0.469901 | − | 0.152680i | 0.0644882 | − | 0.997918i | \(-0.479459\pi\) |
−0.534390 | + | 0.845238i | \(0.679459\pi\) | |||||||
\(308\) | −0.458739 | − | 0.149053i | −0.0261391 | − | 0.00849311i | ||||
\(309\) | −10.2892 | + | 5.24262i | −0.585333 | + | 0.298242i | ||||
\(310\) | 0.538233 | + | 1.65651i | 0.0305696 | + | 0.0940836i | ||||
\(311\) | 1.26384 | + | 7.97957i | 0.0716658 | + | 0.452480i | 0.997261 | + | 0.0739647i | \(0.0235652\pi\) |
−0.925595 | + | 0.378515i | \(0.876435\pi\) | |||||||
\(312\) | 2.01929 | − | 6.21473i | 0.114320 | − | 0.351840i | ||||
\(313\) | −3.40878 | − | 0.539898i | −0.192676 | − | 0.0305168i | 0.0593507 | − | 0.998237i | \(-0.481097\pi\) |
−0.252026 | + | 0.967720i | \(0.581097\pi\) | |||||||
\(314\) | −12.6283 | − | 12.6283i | −0.712655 | − | 0.712655i | ||||
\(315\) | −13.6293 | − | 6.94449i | −0.767925 | − | 0.391278i | ||||
\(316\) | 0.360988 | − | 2.27919i | 0.0203071 | − | 0.128214i | ||||
\(317\) | 27.5726 | − | 4.36707i | 1.54863 | − | 0.245279i | 0.677201 | − | 0.735798i | \(-0.263193\pi\) |
0.871431 | + | 0.490519i | \(0.163193\pi\) | |||||||
\(318\) | −17.2226 | − | 12.5129i | −0.965794 | − | 0.701690i | ||||
\(319\) | 0.672510i | 0.0376534i | ||||||||
\(320\) | −3.23470 | + | 4.45218i | −0.180825 | + | 0.248885i | ||||
\(321\) | 15.1109 | + | 29.6569i | 0.843410 | + | 1.65529i | ||||
\(322\) | −3.28894 | + | 6.45490i | −0.183285 | + | 0.359718i | ||||
\(323\) | 15.4319 | + | 21.2401i | 0.858652 | + | 1.18183i | ||||
\(324\) | 0.586675 | − | 0.426245i | 0.0325931 | − | 0.0236803i | ||||
\(325\) | −2.82361 | + | 2.82361i | −0.156625 | + | 0.156625i | ||||
\(326\) | 2.81562 | − | 0.914849i | 0.155943 | − | 0.0506688i | ||||
\(327\) | −4.65023 | −0.257158 | ||||||||
\(328\) | 6.40847 | − | 15.9136i | 0.353848 | − | 0.878682i | ||||
\(329\) | −18.5701 | −1.02380 | ||||||||
\(330\) | 1.59627 | − | 0.518659i | 0.0878718 | − | 0.0285513i | ||||
\(331\) | −15.9651 | + | 15.9651i | −0.877522 | + | 0.877522i | −0.993278 | − | 0.115756i | \(-0.963071\pi\) |
0.115756 | + | 0.993278i | \(0.463071\pi\) | |||||||
\(332\) | −2.01410 | + | 1.46333i | −0.110538 | + | 0.0803106i | ||||
\(333\) | −18.0161 | − | 24.7970i | −0.987274 | − | 1.35887i | ||||
\(334\) | −12.8455 | + | 25.2107i | −0.702875 | + | 1.37947i | ||||
\(335\) | 1.98121 | + | 3.88834i | 0.108245 | + | 0.212442i | ||||
\(336\) | 32.0863 | − | 44.1631i | 1.75045 | − | 2.40929i | ||||
\(337\) | − | 24.7909i | − | 1.35045i | −0.737614 | − | 0.675223i | \(-0.764048\pi\) | ||
0.737614 | − | 0.675223i | \(-0.235952\pi\) | |||||||
\(338\) | 14.5755 | + | 10.5897i | 0.792804 | + | 0.576006i | ||||
\(339\) | −3.10011 | + | 0.491008i | −0.168375 | + | 0.0266679i | ||||
\(340\) | 0.137339 | − | 0.867127i | 0.00744827 | − | 0.0470265i | ||||
\(341\) | −0.738271 | − | 0.376168i | −0.0399796 | − | 0.0203706i | ||||
\(342\) | 19.3611 | + | 19.3611i | 1.04693 | + | 1.04693i | ||||
\(343\) | −36.3795 | − | 5.76195i | −1.96431 | − | 0.311116i | ||||
\(344\) | −5.15057 | + | 15.8518i | −0.277700 | + | 0.854673i | ||||
\(345\) | −0.340832 | − | 2.15193i | −0.0183498 | − | 0.115856i | ||||
\(346\) | −2.74510 | − | 8.44855i | −0.147578 | − | 0.454197i | ||||
\(347\) | −3.20315 | + | 1.63209i | −0.171954 | + | 0.0876149i | −0.537849 | − | 0.843041i | \(-0.680763\pi\) |
0.365895 | + | 0.930656i | \(0.380763\pi\) | |||||||
\(348\) | 0.596746 | + | 0.193894i | 0.0319889 | + | 0.0103938i | ||||
\(349\) | −0.272833 | − | 0.0886489i | −0.0146044 | − | 0.00474526i | 0.301706 | − | 0.953401i | \(-0.402444\pi\) |
−0.316310 | + | 0.948656i | \(0.602444\pi\) | |||||||
\(350\) | −27.1324 | + | 13.8247i | −1.45029 | + | 0.738959i | ||||
\(351\) | −0.922121 | − | 2.83800i | −0.0492192 | − | 0.151481i | ||||
\(352\) | 0.0909651 | + | 0.574331i | 0.00484846 | + | 0.0306119i | ||||
\(353\) | −7.26560 | + | 22.3612i | −0.386709 | + | 1.19017i | 0.548524 | + | 0.836135i | \(0.315190\pi\) |
−0.935233 | + | 0.354033i | \(0.884810\pi\) | |||||||
\(354\) | 34.8581 | + | 5.52098i | 1.85269 | + | 0.293437i | ||||
\(355\) | 0.596679 | + | 0.596679i | 0.0316685 | + | 0.0316685i | ||||
\(356\) | −0.328876 | − | 0.167571i | −0.0174304 | − | 0.00888124i | ||||
\(357\) | 11.7829 | − | 74.3942i | 0.623616 | − | 3.93736i | ||||
\(358\) | 13.3779 | − | 2.11885i | 0.707043 | − | 0.111985i | ||||
\(359\) | 27.7932 | + | 20.1929i | 1.46687 | + | 1.06574i | 0.981506 | + | 0.191430i | \(0.0613125\pi\) |
0.485363 | + | 0.874313i | \(0.338687\pi\) | |||||||
\(360\) | 8.76252i | 0.461825i | ||||||||
\(361\) | 0.116485 | − | 0.160328i | 0.00613080 | − | 0.00843832i | ||||
\(362\) | −12.7988 | − | 25.1191i | −0.672691 | − | 1.32023i | ||||
\(363\) | 13.0594 | − | 25.6305i | 0.685440 | − | 1.34525i | ||||
\(364\) | −0.472033 | − | 0.649698i | −0.0247413 | − | 0.0340534i | ||||
\(365\) | −3.51635 | + | 2.55477i | −0.184054 | + | 0.133723i | ||||
\(366\) | 3.90256 | − | 3.90256i | 0.203990 | − | 0.203990i | ||||
\(367\) | 24.8067 | − | 8.06019i | 1.29490 | − | 0.420738i | 0.421096 | − | 0.907016i | \(-0.361646\pi\) |
0.873804 | + | 0.486278i | \(0.161646\pi\) | |||||||
\(368\) | 4.54612 | 0.236983 | ||||||||
\(369\) | −6.57227 | − | 26.2328i | −0.342139 | − | 1.36562i | ||||
\(370\) | 8.31494 | 0.432273 | ||||||||
\(371\) | 23.8125 | − | 7.73715i | 1.23628 | − | 0.401693i | ||||
\(372\) | −0.546643 | + | 0.546643i | −0.0283421 | + | 0.0283421i | ||||
\(373\) | 8.17007 | − | 5.93590i | 0.423030 | − | 0.307349i | −0.355826 | − | 0.934552i | \(-0.615800\pi\) |
0.778856 | + | 0.627203i | \(0.215800\pi\) | |||||||
\(374\) | 2.84033 | + | 3.90938i | 0.146870 | + | 0.202149i | ||||
\(375\) | 8.88200 | − | 17.4319i | 0.458664 | − | 0.900180i | ||||
\(376\) | 4.82943 | + | 9.47828i | 0.249059 | + | 0.488805i | ||||
\(377\) | −0.658131 | + | 0.905839i | −0.0338955 | + | 0.0466531i | ||||
\(378\) | − | 22.7559i | − | 1.17044i | ||||||
\(379\) | 10.7064 | + | 7.77867i | 0.549952 | + | 0.399563i | 0.827768 | − | 0.561071i | \(-0.189611\pi\) |
−0.277816 | + | 0.960634i | \(0.589611\pi\) | |||||||
\(380\) | −0.634078 | + | 0.100428i | −0.0325275 | + | 0.00515185i | ||||
\(381\) | −4.20191 | + | 26.5298i | −0.215270 | + | 1.35916i | ||||
\(382\) | −14.8521 | − | 7.56752i | −0.759899 | − | 0.387188i | ||||
\(383\) | 4.86397 | + | 4.86397i | 0.248537 | + | 0.248537i | 0.820370 | − | 0.571833i | \(-0.193767\pi\) |
−0.571833 | + | 0.820370i | \(0.693767\pi\) | |||||||
\(384\) | −33.5771 | − | 5.31809i | −1.71347 | − | 0.271388i | ||||
\(385\) | −0.610016 | + | 1.87743i | −0.0310893 | + | 0.0956829i | ||||
\(386\) | −2.70636 | − | 17.0873i | −0.137750 | − | 0.869718i | ||||
\(387\) | 8.11923 | + | 24.9884i | 0.412724 | + | 1.27023i | ||||
\(388\) | −0.327519 | + | 0.166879i | −0.0166272 | + | 0.00847201i | ||||
\(389\) | 29.0233 | + | 9.43023i | 1.47154 | + | 0.478132i | 0.931572 | − | 0.363556i | \(-0.118437\pi\) |
0.539965 | + | 0.841687i | \(0.318437\pi\) | |||||||
\(390\) | 2.65767 | + | 0.863529i | 0.134576 | + | 0.0437265i | ||||
\(391\) | 5.58907 | − | 2.84777i | 0.282651 | − | 0.144018i | ||||
\(392\) | 12.3156 | + | 37.9036i | 0.622033 | + | 1.91442i | ||||
\(393\) | −0.342622 | − | 2.16323i | −0.0172830 | − | 0.109121i | ||||
\(394\) | 4.62058 | − | 14.2207i | 0.232781 | − | 0.716427i | ||||
\(395\) | −9.32779 | − | 1.47738i | −0.469332 | − | 0.0743349i | ||||
\(396\) | 0.307993 | + | 0.307993i | 0.0154772 | + | 0.0154772i | ||||
\(397\) | −21.4147 | − | 10.9114i | −1.07477 | − | 0.547625i | −0.175263 | − | 0.984522i | \(-0.556078\pi\) |
−0.899512 | + | 0.436896i | \(0.856078\pi\) | |||||||
\(398\) | −1.94787 | + | 12.2983i | −0.0976377 | + | 0.616460i | ||||
\(399\) | −54.4001 | + | 8.61612i | −2.72341 | + | 0.431346i | ||||
\(400\) | 15.4596 | + | 11.2320i | 0.772979 | + | 0.561602i | ||||
\(401\) | − | 4.76630i | − | 0.238018i | −0.992893 | − | 0.119009i | \(-0.962028\pi\) | ||
0.992893 | − | 0.119009i | \(-0.0379717\pi\) | |||||||
\(402\) | −13.1726 | + | 18.1306i | −0.656992 | + | 0.904272i | ||||
\(403\) | −0.626291 | − | 1.22917i | −0.0311978 | − | 0.0612291i | ||||
\(404\) | 0.722671 | − | 1.41832i | 0.0359542 | − | 0.0705642i | ||||
\(405\) | −1.74445 | − | 2.40103i | −0.0866823 | − | 0.119308i | ||||
\(406\) | −6.90780 | + | 5.01881i | −0.342828 | + | 0.249079i | ||||
\(407\) | −2.79699 | + | 2.79699i | −0.138642 | + | 0.138642i | ||||
\(408\) | −41.0356 | + | 13.3333i | −2.03157 | + | 0.660096i | ||||
\(409\) | −37.1120 | −1.83507 | −0.917534 | − | 0.397657i | \(-0.869824\pi\) | ||||
−0.917534 | + | 0.397657i | \(0.869824\pi\) | |||||||
\(410\) | 6.80529 | + | 2.74052i | 0.336089 | + | 0.135344i | ||||
\(411\) | 11.5675 | 0.570582 | ||||||||
\(412\) | 0.773181 | − | 0.251222i | 0.0380919 | − | 0.0123768i | ||||
\(413\) | −29.3513 | + | 29.3513i | −1.44428 | + | 1.44428i | ||||
\(414\) | 5.29251 | − | 3.84524i | 0.260113 | − | 0.188983i | ||||
\(415\) | 5.98881 | + | 8.24289i | 0.293979 | + | 0.404628i | ||||
\(416\) | −0.439525 | + | 0.862616i | −0.0215495 | + | 0.0422933i | ||||
\(417\) | 6.13030 | + | 12.0314i | 0.300202 | + | 0.589180i | ||||
\(418\) | 2.07696 | − | 2.85870i | 0.101588 | − | 0.139823i | ||||
\(419\) | − | 11.2273i | − | 0.548491i | −0.961660 | − | 0.274246i | \(-0.911572\pi\) | ||
0.961660 | − | 0.274246i | \(-0.0884281\pi\) | |||||||
\(420\) | 1.49005 | + | 1.08258i | 0.0727069 | + | 0.0528246i | ||||
\(421\) | −16.7385 | + | 2.65113i | −0.815787 | + | 0.129208i | −0.550365 | − | 0.834924i | \(-0.685511\pi\) |
−0.265422 | + | 0.964132i | \(0.585511\pi\) | |||||||
\(422\) | 3.00526 | − | 18.9745i | 0.146294 | − | 0.923664i | ||||
\(423\) | 14.9413 | + | 7.61299i | 0.726473 | + | 0.370156i | ||||
\(424\) | −10.1419 | − | 10.1419i | −0.492534 | − | 0.492534i | ||||
\(425\) | 26.0422 | + | 4.12468i | 1.26323 | + | 0.200076i | ||||
\(426\) | −1.33909 | + | 4.12130i | −0.0648792 | + | 0.199677i | ||||
\(427\) | 1.01544 | + | 6.41125i | 0.0491407 | + | 0.310262i | ||||
\(428\) | −0.724103 | − | 2.22856i | −0.0350008 | − | 0.107722i | ||||
\(429\) | −1.18446 | + | 0.603515i | −0.0571865 | + | 0.0291380i | ||||
\(430\) | −6.77887 | − | 2.20259i | −0.326906 | − | 0.106218i | ||||
\(431\) | −19.3545 | − | 6.28864i | −0.932271 | − | 0.302913i | −0.196780 | − | 0.980448i | \(-0.563048\pi\) |
−0.735491 | + | 0.677534i | \(0.763048\pi\) | |||||||
\(432\) | −12.7235 | + | 6.48296i | −0.612160 | + | 0.311911i | ||||
\(433\) | 6.55082 | + | 20.1613i | 0.314812 | + | 0.968893i | 0.975832 | + | 0.218524i | \(0.0701241\pi\) |
−0.661019 | + | 0.750369i | \(0.729876\pi\) | |||||||
\(434\) | −1.64570 | − | 10.3905i | −0.0789961 | − | 0.498762i | ||||
\(435\) | 0.793531 | − | 2.44224i | 0.0380469 | − | 0.117096i | ||||
\(436\) | 0.323346 | + | 0.0512130i | 0.0154855 | + | 0.00245266i | ||||
\(437\) | −3.24343 | − | 3.24343i | −0.155154 | − | 0.155154i | ||||
\(438\) | −19.8878 | − | 10.1333i | −0.950275 | − | 0.484189i | ||||
\(439\) | 3.23308 | − | 20.4129i | 0.154306 | − | 0.974252i | −0.782054 | − | 0.623211i | \(-0.785828\pi\) |
0.936360 | − | 0.351041i | \(-0.114172\pi\) | |||||||
\(440\) | 1.11690 | − | 0.176900i | 0.0532461 | − | 0.00843335i | ||||
\(441\) | 50.8267 | + | 36.9278i | 2.42032 | + | 1.75846i | ||||
\(442\) | 8.04534i | 0.382678i | ||||||||
\(443\) | 12.7566 | − | 17.5580i | 0.606086 | − | 0.834206i | −0.390162 | − | 0.920746i | \(-0.627581\pi\) |
0.996248 | + | 0.0865400i | \(0.0275810\pi\) | |||||||
\(444\) | 1.67547 | + | 3.28830i | 0.0795143 | + | 0.156056i | ||||
\(445\) | −0.685800 | + | 1.34596i | −0.0325100 | + | 0.0638045i | ||||
\(446\) | 15.2179 | + | 20.9456i | 0.720588 | + | 0.991804i | ||||
\(447\) | −17.2330 | + | 12.5205i | −0.815093 | + | 0.592200i | ||||
\(448\) | 23.5034 | − | 23.5034i | 1.11043 | − | 1.11043i | ||||
\(449\) | −5.28118 | + | 1.71596i | −0.249234 | + | 0.0809812i | −0.430970 | − | 0.902366i | \(-0.641829\pi\) |
0.181736 | + | 0.983347i | \(0.441829\pi\) | |||||||
\(450\) | 27.4981 | 1.29628 | ||||||||
\(451\) | −3.21103 | + | 1.36731i | −0.151202 | + | 0.0643843i | ||||
\(452\) | 0.220968 | 0.0103935 | ||||||||
\(453\) | 52.8431 | − | 17.1698i | 2.48279 | − | 0.806706i | ||||
\(454\) | 28.4997 | − | 28.4997i | 1.33756 | − | 1.33756i | ||||
\(455\) | −2.65895 | + | 1.93184i | −0.124654 | + | 0.0905662i | ||||
\(456\) | 18.5453 | + | 25.5254i | 0.868463 | + | 1.19534i | ||||
\(457\) | −17.5772 | + | 34.4973i | −0.822229 | + | 1.61371i | −0.0331277 | + | 0.999451i | \(0.510547\pi\) |
−0.789101 | + | 0.614264i | \(0.789453\pi\) | |||||||
\(458\) | −15.2042 | − | 29.8400i | −0.710447 | − | 1.39433i | ||||
\(459\) | −11.5814 | + | 15.9405i | −0.540575 | + | 0.744038i | ||||
\(460\) | 0.153385i | 0.00715160i | ||||||||
\(461\) | −4.11822 | − | 2.99206i | −0.191805 | − | 0.139354i | 0.487738 | − | 0.872990i | \(-0.337822\pi\) |
−0.679543 | + | 0.733636i | \(0.737822\pi\) | |||||||
\(462\) | −10.0127 | + | 1.58585i | −0.465832 | + | 0.0737805i | ||||
\(463\) | −0.451109 | + | 2.84819i | −0.0209648 | + | 0.132367i | −0.995951 | − | 0.0898996i | \(-0.971345\pi\) |
0.974986 | + | 0.222266i | \(0.0713454\pi\) | |||||||
\(464\) | 4.77414 | + | 2.43255i | 0.221634 | + | 0.112928i | ||||
\(465\) | 2.23719 | + | 2.23719i | 0.103747 | + | 0.103747i | ||||
\(466\) | −35.3806 | − | 5.60373i | −1.63897 | − | 0.259588i | ||||
\(467\) | 11.3892 | − | 35.0524i | 0.527030 | − | 1.62203i | −0.233235 | − | 0.972420i | \(-0.574931\pi\) |
0.760266 | − | 0.649612i | \(-0.225069\pi\) | |||||||
\(468\) | 0.113444 | + | 0.716258i | 0.00524396 | + | 0.0331090i | ||||
\(469\) | −8.14508 | − | 25.0680i | −0.376105 | − | 1.15753i | ||||
\(470\) | −4.05329 | + | 2.06525i | −0.186964 | + | 0.0952631i | ||||
\(471\) | −30.8528 | − | 10.0247i | −1.42162 | − | 0.461914i | ||||
\(472\) | 22.6144 | + | 7.34785i | 1.04091 | + | 0.338212i | ||||
\(473\) | 3.02119 | − | 1.53938i | 0.138915 | − | 0.0707806i | ||||
\(474\) | −14.9869 | − | 46.1250i | −0.688373 | − | 2.11859i | ||||
\(475\) | −3.01613 | − | 19.0431i | −0.138390 | − | 0.873758i | ||||
\(476\) | −1.63861 | + | 5.04312i | −0.0751055 | + | 0.231151i | ||||
\(477\) | −22.3313 | − | 3.53693i | −1.02248 | − | 0.161945i | ||||
\(478\) | 23.3113 | + | 23.3113i | 1.06623 | + | 1.06623i | ||||
\(479\) | −28.4248 | − | 14.4832i | −1.29876 | − | 0.661752i | −0.338530 | − | 0.940956i | \(-0.609930\pi\) |
−0.960232 | + | 0.279203i | \(0.909930\pi\) | |||||||
\(480\) | 0.347342 | − | 2.19303i | 0.0158539 | − | 0.100098i | ||||
\(481\) | −6.50460 | + | 1.03023i | −0.296584 | + | 0.0469743i | ||||
\(482\) | 14.4647 | + | 10.5092i | 0.658849 | + | 0.478682i | ||||
\(483\) | 13.1595i | 0.598777i | ||||||||
\(484\) | −1.19033 | + | 1.63835i | −0.0541060 | + | 0.0744705i | ||||
\(485\) | 0.682969 | + | 1.34040i | 0.0310120 | + | 0.0608645i | ||||
\(486\) | 13.5458 | − | 26.5850i | 0.614448 | − | 1.20592i | ||||
\(487\) | 10.5402 | + | 14.5073i | 0.477621 | + | 0.657389i | 0.978046 | − | 0.208391i | \(-0.0668227\pi\) |
−0.500424 | + | 0.865780i | \(0.666823\pi\) | |||||||
\(488\) | 3.00826 | − | 2.18563i | 0.136178 | − | 0.0989389i | ||||
\(489\) | 3.80261 | − | 3.80261i | 0.171960 | − | 0.171960i | ||||
\(490\) | −16.2091 | + | 5.26665i | −0.732252 | + | 0.237923i | ||||
\(491\) | 25.0172 | 1.12901 | 0.564505 | − | 0.825430i | \(-0.309067\pi\) | ||||
0.564505 | + | 0.825430i | \(0.309067\pi\) | |||||||
\(492\) | 0.287487 | + | 3.24350i | 0.0129609 | + | 0.146228i | ||||
\(493\) | 7.39319 | 0.332973 | ||||||||
\(494\) | 5.59514 | − | 1.81797i | 0.251737 | − | 0.0817944i | ||||
\(495\) | 1.26049 | − | 1.26049i | 0.0566548 | − | 0.0566548i | ||||
\(496\) | −5.34082 | + | 3.88033i | −0.239810 | + | 0.174232i | ||||
\(497\) | −2.99575 | − | 4.12329i | −0.134378 | − | 0.184955i | ||||
\(498\) | −23.7542 | + | 46.6202i | −1.06445 | + | 2.08910i | ||||
\(499\) | 11.7228 | + | 23.0074i | 0.524786 | + | 1.02995i | 0.989506 | + | 0.144493i | \(0.0461551\pi\) |
−0.464720 | + | 0.885458i | \(0.653845\pi\) | |||||||
\(500\) | −0.809573 | + | 1.11428i | −0.0362052 | + | 0.0498322i | ||||
\(501\) | 51.3966i | 2.29623i | ||||||||
\(502\) | −9.51139 | − | 6.91043i | −0.424514 | − | 0.308428i | ||||
\(503\) | −18.1861 | + | 2.88039i | −0.810878 | + | 0.128430i | −0.548086 | − | 0.836422i | \(-0.684643\pi\) |
−0.262792 | + | 0.964853i | \(0.584643\pi\) | |||||||
\(504\) | 8.27926 | − | 52.2732i | 0.368788 | − | 2.32843i | ||||
\(505\) | −5.80462 | − | 2.95760i | −0.258302 | − | 0.131612i | ||||
\(506\) | −0.596973 | − | 0.596973i | −0.0265387 | − | 0.0265387i | ||||
\(507\) | 32.3233 | + | 5.11951i | 1.43553 | + | 0.227366i | ||||
\(508\) | 0.584346 | − | 1.79843i | 0.0259262 | − | 0.0797925i | ||||
\(509\) | −2.90230 | − | 18.3244i | −0.128642 | − | 0.812214i | −0.964657 | − | 0.263508i | \(-0.915121\pi\) |
0.836015 | − | 0.548706i | \(-0.184879\pi\) | |||||||
\(510\) | −5.70184 | − | 17.5485i | −0.252482 | − | 0.777059i | ||||
\(511\) | 23.3908 | − | 11.9182i | 1.03475 | − | 0.527230i | ||||
\(512\) | −17.7247 | − | 5.75912i | −0.783330 | − | 0.254519i | ||||
\(513\) | 13.7028 | + | 4.45232i | 0.604995 | + | 0.196575i | ||||
\(514\) | 30.9884 | − | 15.7894i | 1.36684 | − | 0.696440i | ||||
\(515\) | −1.02815 | − | 3.16432i | −0.0453057 | − | 0.139436i | ||||
\(516\) | −0.494896 | − | 3.12465i | −0.0217866 | − | 0.137555i | ||||
\(517\) | 0.668738 | − | 2.05816i | 0.0294111 | − | 0.0905180i | ||||
\(518\) | −49.6031 | − | 7.85636i | −2.17944 | − | 0.345189i | ||||
\(519\) | −11.4101 | − | 11.4101i | −0.500849 | − | 0.500849i | ||||
\(520\) | 1.67753 | + | 0.854743i | 0.0735644 | + | 0.0374829i | ||||
\(521\) | −1.28799 | + | 8.13203i | −0.0564277 | + | 0.356271i | 0.943278 | + | 0.332005i | \(0.107725\pi\) |
−0.999706 | + | 0.0242662i | \(0.992275\pi\) | |||||||
\(522\) | 7.61549 | − | 1.20617i | 0.333321 | − | 0.0527928i | ||||
\(523\) | −27.7382 | − | 20.1530i | −1.21291 | − | 0.881229i | −0.217416 | − | 0.976079i | \(-0.569763\pi\) |
−0.995492 | + | 0.0948499i | \(0.969763\pi\) | |||||||
\(524\) | 0.154190i | 0.00673583i | ||||||||
\(525\) | −32.5129 | + | 44.7502i | −1.41898 | + | 1.95306i | ||||
\(526\) | 14.3606 | + | 28.1842i | 0.626151 | + | 1.22889i | ||||
\(527\) | −4.13537 | + | 8.11613i | −0.180140 | + | 0.353544i | ||||
\(528\) | 3.73922 | + | 5.14659i | 0.162729 | + | 0.223977i | ||||
\(529\) | 17.7208 | − | 12.8749i | 0.770468 | − | 0.559778i | ||||
\(530\) | 4.33708 | − | 4.33708i | 0.188391 | − | 0.188391i | ||||
\(531\) | 35.6487 | − | 11.5830i | 1.54702 | − | 0.502659i | ||||
\(532\) | 3.87751 | 0.168111 | ||||||||
\(533\) | −5.66318 | − | 1.30067i | −0.245300 | − | 0.0563381i | ||||
\(534\) | −7.75751 | −0.335700 | ||||||||
\(535\) | −9.12060 | + | 2.96346i | −0.394318 | + | 0.128122i | ||||
\(536\) | −10.6766 | + | 10.6766i | −0.461160 | + | 0.461160i | ||||
\(537\) | 19.9047 | − | 14.4616i | 0.858950 | − | 0.624063i | ||||
\(538\) | 23.5117 | + | 32.3611i | 1.01366 | + | 1.39519i | ||||
\(539\) | 3.68083 | − | 7.22404i | 0.158545 | − | 0.311162i | ||||
\(540\) | −0.218733 | − | 0.429287i | −0.00941276 | − | 0.0184736i | ||||
\(541\) | 0.490706 | − | 0.675399i | 0.0210971 | − | 0.0290377i | −0.798338 | − | 0.602209i | \(-0.794287\pi\) |
0.819435 | + | 0.573172i | \(0.194287\pi\) | |||||||
\(542\) | − | 17.6629i | − | 0.758685i | ||||||
\(543\) | −41.4296 | − | 30.1003i | −1.77791 | − | 1.29173i | ||||
\(544\) | 6.31386 | − | 1.00002i | 0.270705 | − | 0.0428754i | ||||
\(545\) | 0.209594 | − | 1.32332i | 0.00897802 | − | 0.0566850i | ||||
\(546\) | −15.0385 | − | 7.66251i | −0.643590 | − | 0.327925i | ||||
\(547\) | 22.5832 | + | 22.5832i | 0.965590 | + | 0.965590i | 0.999427 | − | 0.0338377i | \(-0.0107729\pi\) |
−0.0338377 | + | 0.999427i | \(0.510773\pi\) | |||||||
\(548\) | −0.804327 | − | 0.127393i | −0.0343591 | − | 0.00544195i | ||||
\(549\) | 1.81134 | − | 5.57474i | 0.0773062 | − | 0.237924i | ||||
\(550\) | −0.555138 | − | 3.50500i | −0.0236712 | − | 0.149454i | ||||
\(551\) | −1.67061 | − | 5.14160i | −0.0711703 | − | 0.219040i | ||||
\(552\) | 6.71668 | − | 3.42232i | 0.285881 | − | 0.145664i | ||||
\(553\) | 54.2494 | + | 17.6267i | 2.30692 | + | 0.749564i | ||||
\(554\) | 20.6388 | + | 6.70597i | 0.876860 | + | 0.284909i | ||||
\(555\) | 13.4577 | − | 6.85702i | 0.571246 | − | 0.291064i | ||||
\(556\) | −0.293759 | − | 0.904097i | −0.0124581 | − | 0.0383422i | ||||
\(557\) | 4.35403 | + | 27.4903i | 0.184486 | + | 1.16480i | 0.889951 | + | 0.456055i | \(0.150738\pi\) |
−0.705465 | + | 0.708744i | \(0.749262\pi\) | |||||||
\(558\) | −2.93560 | + | 9.03483i | −0.124274 | + | 0.382475i | ||||
\(559\) | 5.57586 | + | 0.883130i | 0.235834 | + | 0.0373524i | ||||
\(560\) | 11.1214 | + | 11.1214i | 0.469964 | + | 0.469964i | ||||
\(561\) | 7.82097 | + | 3.98498i | 0.330202 | + | 0.168246i | ||||
\(562\) | −2.47581 | + | 15.6316i | −0.104436 | + | 0.659381i | ||||
\(563\) | −29.1631 | + | 4.61898i | −1.22908 | + | 0.194667i | −0.737005 | − | 0.675887i | \(-0.763761\pi\) |
−0.492073 | + | 0.870554i | \(0.663761\pi\) | |||||||
\(564\) | −1.63349 | − | 1.18680i | −0.0687822 | − | 0.0499732i | ||||
\(565\) | − | 0.904334i | − | 0.0380456i | ||||||
\(566\) | −16.5878 | + | 22.8311i | −0.697236 | + | 0.959662i | ||||
\(567\) | 8.13797 | + | 15.9717i | 0.341763 | + | 0.670747i | ||||
\(568\) | −1.32547 | + | 2.60137i | −0.0556153 | + | 0.109151i | ||||
\(569\) | −16.9189 | − | 23.2869i | −0.709278 | − | 0.976237i | −0.999812 | − | 0.0193726i | \(-0.993833\pi\) |
0.290535 | − | 0.956864i | \(-0.406167\pi\) | |||||||
\(570\) | −10.9157 | + | 7.93071i | −0.457208 | + | 0.332181i | ||||
\(571\) | −19.3493 | + | 19.3493i | −0.809742 | + | 0.809742i | −0.984595 | − | 0.174853i | \(-0.944055\pi\) |
0.174853 | + | 0.984595i | \(0.444055\pi\) | |||||||
\(572\) | 0.0890064 | − | 0.0289199i | 0.00372154 | − | 0.00120920i | ||||
\(573\) | −30.2786 | −1.26491 | ||||||||
\(574\) | −38.0079 | − | 22.7786i | −1.58642 | − | 0.950762i | ||||
\(575\) | −4.60656 | −0.192107 | ||||||||
\(576\) | −28.5461 | + | 9.27520i | −1.18942 | + | 0.386467i | ||||
\(577\) | 6.40224 | − | 6.40224i | 0.266529 | − | 0.266529i | −0.561171 | − | 0.827700i | \(-0.689649\pi\) |
0.827700 | + | 0.561171i | \(0.189649\pi\) | |||||||
\(578\) | 22.6281 | − | 16.4403i | 0.941205 | − | 0.683826i | ||||
\(579\) | −18.4714 | − | 25.4238i | −0.767647 | − | 1.05658i | ||||
\(580\) | −0.0820733 | + | 0.161078i | −0.00340791 | + | 0.00668840i | ||||
\(581\) | −27.9382 | − | 54.8318i | −1.15907 | − | 2.27481i | ||||
\(582\) | −4.54093 | + | 6.25005i | −0.188227 | + | 0.259073i | ||||
\(583\) | 2.91783i | 0.120844i | ||||||||
\(584\) | −12.1663 | − | 8.83931i | −0.503444 | − | 0.365773i | ||||
\(585\) | 2.93136 | − | 0.464281i | 0.121197 | − | 0.0191957i | ||||
\(586\) | −6.00377 | + | 37.9063i | −0.248014 | + | 1.56590i | ||||
\(587\) | −4.62167 | − | 2.35486i | −0.190757 | − | 0.0971955i | 0.356003 | − | 0.934485i | \(-0.384139\pi\) |
−0.546760 | + | 0.837289i | \(0.684139\pi\) | |||||||
\(588\) | −5.34895 | − | 5.34895i | −0.220587 | − | 0.220587i | ||||
\(589\) | 6.57883 | + | 1.04198i | 0.271076 | + | 0.0429342i | ||||
\(590\) | −3.14223 | + | 9.67080i | −0.129364 | + | 0.398141i | ||||
\(591\) | −4.24890 | − | 26.8265i | −0.174776 | − | 1.10349i | ||||
\(592\) | 9.73876 | + | 29.9728i | 0.400261 | + | 1.23188i | ||||
\(593\) | −20.8824 | + | 10.6401i | −0.857538 | + | 0.436937i | −0.826737 | − | 0.562588i | \(-0.809806\pi\) |
−0.0308006 | + | 0.999526i | \(0.509806\pi\) | |||||||
\(594\) | 2.52209 | + | 0.819478i | 0.103483 | + | 0.0336236i | ||||
\(595\) | 20.6394 | + | 6.70616i | 0.846134 | + | 0.274926i | ||||
\(596\) | 1.33616 | − | 0.680807i | 0.0547312 | − | 0.0278869i | ||||
\(597\) | 6.98938 | + | 21.5111i | 0.286056 | + | 0.880391i | ||||
\(598\) | −0.219885 | − | 1.38830i | −0.00899178 | − | 0.0567719i | ||||
\(599\) | −9.48601 | + | 29.1949i | −0.387588 | + | 1.19287i | 0.546998 | + | 0.837134i | \(0.315771\pi\) |
−0.934586 | + | 0.355739i | \(0.884229\pi\) | |||||||
\(600\) | 31.2963 | + | 4.95685i | 1.27767 | + | 0.202363i | ||||
\(601\) | 5.21941 | + | 5.21941i | 0.212904 | + | 0.212904i | 0.805500 | − | 0.592596i | \(-0.201897\pi\) |
−0.592596 | + | 0.805500i | \(0.701897\pi\) | |||||||
\(602\) | 38.3585 | + | 19.5446i | 1.56338 | + | 0.796580i | ||||
\(603\) | −3.72341 | + | 23.5087i | −0.151629 | + | 0.957348i | ||||
\(604\) | −3.86345 | + | 0.611910i | −0.157202 | + | 0.0248983i | ||||
\(605\) | 6.70511 | + | 4.87155i | 0.272601 | + | 0.198057i | ||||
\(606\) | − | 33.4553i | − | 1.35903i | ||||||
\(607\) | 18.4399 | − | 25.3803i | 0.748452 | − | 1.03016i | −0.249636 | − | 0.968340i | \(-0.580311\pi\) |
0.998088 | − | 0.0618155i | \(-0.0196890\pi\) | |||||||
\(608\) | −2.12218 | − | 4.16502i | −0.0860658 | − | 0.168914i | ||||
\(609\) | −7.04139 | + | 13.8195i | −0.285332 | + | 0.559995i | ||||
\(610\) | 0.934663 | + | 1.28645i | 0.0378434 | + | 0.0520870i | ||||
\(611\) | 2.91492 | − | 2.11781i | 0.117925 | − | 0.0856774i | ||||
\(612\) | 3.38589 | − | 3.38589i | 0.136867 | − | 0.136867i | ||||
\(613\) | 16.7669 | − | 5.44789i | 0.677208 | − | 0.220038i | 0.0498354 | − | 0.998757i | \(-0.484130\pi\) |
0.627373 | + | 0.778719i | \(0.284130\pi\) | |||||||
\(614\) | 12.8089 | 0.516927 | ||||||||
\(615\) | 13.2743 | − | 1.17657i | 0.535272 | − | 0.0474438i | ||||
\(616\) | −6.83006 | −0.275191 | ||||||||
\(617\) | −7.65218 | + | 2.48634i | −0.308065 | + | 0.100096i | −0.458970 | − | 0.888452i | \(-0.651781\pi\) |
0.150905 | + | 0.988548i | \(0.451781\pi\) | |||||||
\(618\) | 12.0818 | − | 12.0818i | 0.486000 | − | 0.486000i | ||||
\(619\) | −5.14200 | + | 3.73588i | −0.206675 | + | 0.150158i | −0.686308 | − | 0.727311i | \(-0.740770\pi\) |
0.479633 | + | 0.877469i | \(0.340770\pi\) | |||||||
\(620\) | −0.130921 | − | 0.180198i | −0.00525792 | − | 0.00723691i | ||||
\(621\) | 1.56282 | − | 3.06721i | 0.0627140 | − | 0.123083i | ||||
\(622\) | −5.42688 | − | 10.6509i | −0.217598 | − | 0.427060i | ||||
\(623\) | 5.36290 | − | 7.38140i | 0.214860 | − | 0.295729i | ||||
\(624\) | 10.5915i | 0.423999i | ||||||||
\(625\) | −13.2395 | − | 9.61907i | −0.529581 | − | 0.384763i | ||||
\(626\) | 5.04362 | − | 0.798832i | 0.201584 | − | 0.0319277i | ||||
\(627\) | 1.00409 | − | 6.33957i | 0.0400995 | − | 0.253178i | ||||
\(628\) | 2.03490 | + | 1.03683i | 0.0812014 | + | 0.0413742i | ||||
\(629\) | 30.7485 | + | 30.7485i | 1.22602 | + | 1.22602i | ||||
\(630\) | 22.3541 | + | 3.54054i | 0.890609 | + | 0.141059i | ||||
\(631\) | 1.29270 | − | 3.97853i | 0.0514616 | − | 0.158383i | −0.922023 | − | 0.387135i | \(-0.873465\pi\) |
0.973485 | + | 0.228753i | \(0.0734647\pi\) | |||||||
\(632\) | −5.11160 | − | 32.2734i | −0.203329 | − | 1.28377i | ||||
\(633\) | −10.7836 | − | 33.1884i | −0.428608 | − | 1.31912i | ||||
\(634\) | −36.8030 | + | 18.7520i | −1.46163 | + | 0.744739i | ||||
\(635\) | −7.36026 | − | 2.39149i | −0.292083 | − | 0.0949035i | ||||
\(636\) | 2.58911 | + | 0.841251i | 0.102665 | + | 0.0333578i | ||||
\(637\) | 12.0275 | − | 6.12831i | 0.476546 | − | 0.242812i | ||||
\(638\) | −0.307486 | − | 0.946344i | −0.0121735 | − | 0.0374661i | ||||
\(639\) | 0.719970 | + | 4.54571i | 0.0284816 | + | 0.179825i | ||||
\(640\) | 3.02676 | − | 9.31541i | 0.119643 | − | 0.368224i | ||||
\(641\) | 19.3732 | + | 3.06842i | 0.765196 | + | 0.121195i | 0.526819 | − | 0.849978i | \(-0.323385\pi\) |
0.238377 | + | 0.971173i | \(0.423385\pi\) | |||||||
\(642\) | −34.8236 | − | 34.8236i | −1.37438 | − | 1.37438i | ||||
\(643\) | −9.90543 | − | 5.04707i | −0.390632 | − | 0.199037i | 0.247633 | − | 0.968854i | \(-0.420347\pi\) |
−0.638265 | + | 0.769817i | \(0.720347\pi\) | |||||||
\(644\) | 0.144925 | − | 0.915023i | 0.00571086 | − | 0.0360569i | ||||
\(645\) | −12.7879 | + | 2.02541i | −0.503525 | + | 0.0797505i | ||||
\(646\) | −31.4269 | − | 22.8330i | −1.23647 | − | 0.898351i | ||||
\(647\) | 10.4368i | 0.410313i | 0.978729 | + | 0.205157i | \(0.0657704\pi\) | ||||
−0.978729 | + | 0.205157i | \(0.934230\pi\) | |||||||
\(648\) | 6.03564 | − | 8.30735i | 0.237102 | − | 0.326344i | ||||
\(649\) | −2.19609 | − | 4.31007i | −0.0862040 | − | 0.169185i | ||||
\(650\) | 2.68231 | − | 5.26434i | 0.105209 | − | 0.206484i | ||||
\(651\) | −11.2322 | − | 15.4599i | −0.440227 | − | 0.605920i | ||||
\(652\) | −0.306287 | + | 0.222530i | −0.0119951 | + | 0.00871496i | ||||
\(653\) | 19.0837 | − | 19.0837i | 0.746802 | − | 0.746802i | −0.227075 | − | 0.973877i | \(-0.572916\pi\) |
0.973877 | + | 0.227075i | \(0.0729163\pi\) | |||||||
\(654\) | 6.54371 | − | 2.12618i | 0.255879 | − | 0.0831403i | ||||
\(655\) | 0.631038 | 0.0246567 | ||||||||
\(656\) | −1.90812 | + | 27.7408i | −0.0744995 | + | 1.08310i | ||||
\(657\) | −23.7061 | −0.924862 | ||||||||
\(658\) | 26.1314 | − | 8.49062i | 1.01871 | − | 0.330999i | ||||
\(659\) | −10.8584 | + | 10.8584i | −0.422984 | + | 0.422984i | −0.886230 | − | 0.463246i | \(-0.846685\pi\) |
0.463246 | + | 0.886230i | \(0.346685\pi\) | |||||||
\(660\) | −0.173644 | + | 0.126160i | −0.00675910 | + | 0.00491077i | ||||
\(661\) | 0.199484 | + | 0.274566i | 0.00775902 | + | 0.0106794i | 0.812879 | − | 0.582433i | \(-0.197899\pi\) |
−0.805120 | + | 0.593112i | \(0.797899\pi\) | |||||||
\(662\) | 15.1662 | − | 29.7654i | 0.589452 | − | 1.15686i | ||||
\(663\) | 6.63470 | + | 13.0213i | 0.257670 | + | 0.505706i | ||||
\(664\) | −20.7208 | + | 28.5197i | −0.804123 | + | 1.10678i | ||||
\(665\) | − | 15.8691i | − | 0.615377i | ||||||
\(666\) | 36.6896 | + | 26.6565i | 1.42169 | + | 1.03292i | ||||
\(667\) | −1.27577 | + | 0.202062i | −0.0493979 | + | 0.00782385i | ||||
\(668\) | 0.566031 | − | 3.57378i | 0.0219004 | − | 0.138274i | ||||
\(669\) | 41.9031 | + | 21.3507i | 1.62007 | + | 0.825466i | ||||
\(670\) | −4.56575 | − | 4.56575i | −0.176390 | − | 0.176390i | ||||
\(671\) | −0.747142 | − | 0.118336i | −0.0288431 | − | 0.00456830i | ||||
\(672\) | −4.14417 | + | 12.7544i | −0.159865 | + | 0.492013i | ||||
\(673\) | 1.95952 | + | 12.3719i | 0.0755340 | + | 0.476903i | 0.996239 | + | 0.0866442i | \(0.0276143\pi\) |
−0.920705 | + | 0.390258i | \(0.872386\pi\) | |||||||
\(674\) | 11.3349 | + | 34.8853i | 0.436604 | + | 1.34373i | ||||
\(675\) | 12.8927 | − | 6.56915i | 0.496240 | − | 0.252847i | ||||
\(676\) | −2.19117 | − | 0.711954i | −0.0842757 | − | 0.0273828i | ||||
\(677\) | −27.8174 | − | 9.03841i | −1.06911 | − | 0.347374i | −0.278968 | − | 0.960300i | \(-0.589992\pi\) |
−0.790140 | + | 0.612926i | \(0.789992\pi\) | |||||||
\(678\) | 4.13791 | − | 2.10837i | 0.158916 | − | 0.0809715i | ||||
\(679\) | −2.80780 | − | 8.64153i | −0.107754 | − | 0.331631i | ||||
\(680\) | −1.94473 | − | 12.2785i | −0.0745770 | − | 0.470861i | ||||
\(681\) | 22.6239 | − | 69.6293i | 0.866951 | − | 2.66820i | ||||
\(682\) | 1.21087 | + | 0.191784i | 0.0463668 | + | 0.00734377i | ||||
\(683\) | 16.7263 | + | 16.7263i | 0.640013 | + | 0.640013i | 0.950559 | − | 0.310545i | \(-0.100512\pi\) |
−0.310545 | + | 0.950559i | \(0.600512\pi\) | |||||||
\(684\) | −3.11982 | − | 1.58963i | −0.119289 | − | 0.0607809i | ||||
\(685\) | −0.521367 | + | 3.29178i | −0.0199204 | + | 0.125773i | ||||
\(686\) | 53.8271 | − | 8.52538i | 2.05513 | − | 0.325500i | ||||
\(687\) | −49.2159 | − | 35.7574i | −1.87770 | − | 1.36423i | ||||
\(688\) | − | 27.0155i | − | 1.02996i | ||||||
\(689\) | −2.85544 | + | 3.93017i | −0.108783 | + | 0.149728i | ||||
\(690\) | 1.46352 | + | 2.87232i | 0.0557153 | + | 0.109347i | ||||
\(691\) | −7.58691 | + | 14.8902i | −0.288620 | + | 0.566448i | −0.989104 | − | 0.147220i | \(-0.952967\pi\) |
0.700484 | + | 0.713668i | \(0.252967\pi\) | |||||||
\(692\) | 0.667725 | + | 0.919045i | 0.0253831 | + | 0.0349369i | ||||
\(693\) | −8.71047 | + | 6.32853i | −0.330884 | + | 0.240401i | ||||
\(694\) | 3.76119 | − | 3.76119i | 0.142773 | − | 0.142773i | ||||
\(695\) | −3.70010 | + | 1.20224i | −0.140353 | + | 0.0456034i | ||||
\(696\) | 8.88480 | 0.336777 | ||||||||
\(697\) | 15.0315 | + | 35.3002i | 0.569358 | + | 1.33709i | ||||
\(698\) | 0.424458 | 0.0160660 | ||||||||
\(699\) | −61.8844 | + | 20.1075i | −2.34068 | + | 0.760534i | ||||
\(700\) | 2.75357 | − | 2.75357i | 0.104075 | − | 0.104075i | ||||
\(701\) | −29.0200 | + | 21.0843i | −1.09607 | + | 0.796342i | −0.980414 | − | 0.196948i | \(-0.936897\pi\) |
−0.115656 | + | 0.993289i | \(0.536897\pi\) | |||||||
\(702\) | 2.59518 | + | 3.57196i | 0.0979489 | + | 0.134815i | ||||
\(703\) | 14.4360 | − | 28.3322i | 0.544463 | − | 1.06857i | ||||
\(704\) | 1.75854 | + | 3.45133i | 0.0662776 | + | 0.130077i | ||||
\(705\) | −4.85708 | + | 6.68520i | −0.182928 | + | 0.251779i | ||||
\(706\) | − | 34.7883i | − | 1.30927i | ||||||
\(707\) | 31.8332 | + | 23.1282i | 1.19721 | + | 0.869825i | ||||
\(708\) | −4.45766 | + | 0.706024i | −0.167529 | + | 0.0265340i | ||||
\(709\) | 2.89893 | − | 18.3031i | 0.108872 | − | 0.687389i | −0.871524 | − | 0.490352i | \(-0.836868\pi\) |
0.980396 | − | 0.197037i | \(-0.0631319\pi\) | |||||||
\(710\) | −1.11245 | − | 0.566822i | −0.0417495 | − | 0.0212725i | ||||
\(711\) | −36.4225 | − | 36.4225i | −1.36595 | − | 1.36595i | ||||
\(712\) | −5.16222 | − | 0.817615i | −0.193462 | − | 0.0306414i | ||||
\(713\) | 0.491779 | − | 1.51354i | 0.0184173 | − | 0.0566825i | ||||
\(714\) | 17.4339 | + | 110.074i | 0.652449 | + | 4.11940i | ||||
\(715\) | −0.118358 | − | 0.364267i | −0.00442632 | − | 0.0136228i | ||||
\(716\) | −1.54330 | + | 0.786353i | −0.0576760 | + | 0.0293874i | ||||
\(717\) | 56.9530 | + | 18.5052i | 2.12695 | + | 0.691088i | ||||
\(718\) | −48.3427 | − | 15.7075i | −1.80413 | − | 0.586199i | ||||
\(719\) | −26.6096 | + | 13.5583i | −0.992371 | + | 0.505638i | −0.873266 | − | 0.487244i | \(-0.838002\pi\) |
−0.119104 | + | 0.992882i | \(0.538002\pi\) | |||||||
\(720\) | −4.38886 | − | 13.5075i | −0.163563 | − | 0.503396i | ||||
\(721\) | 3.14366 | + | 19.8483i | 0.117076 | + | 0.739190i | ||||
\(722\) | −0.0906104 | + | 0.278870i | −0.00337217 | + | 0.0103785i | ||||
\(723\) | 32.0776 | + | 5.08059i | 1.19298 | + | 0.188949i | ||||
\(724\) | 2.54924 | + | 2.54924i | 0.0947418 | + | 0.0947418i | ||||
\(725\) | −4.83761 | − | 2.46489i | −0.179664 | − | 0.0915436i | ||||
\(726\) | −6.65813 | + | 42.0378i | −0.247106 | + | 1.56017i | ||||
\(727\) | 5.04235 | − | 0.798630i | 0.187010 | − | 0.0296195i | −0.0622267 | − | 0.998062i | \(-0.519820\pi\) |
0.249237 | + | 0.968443i | \(0.419820\pi\) | |||||||
\(728\) | −9.19976 | − | 6.68401i | −0.340966 | − | 0.247726i | ||||
\(729\) | − | 42.7006i | − | 1.58150i | ||||||
\(730\) | 3.78004 | − | 5.20278i | 0.139906 | − | 0.192564i | ||||
\(731\) | −16.9230 | − | 33.2133i | −0.625920 | − | 1.22844i | ||||
\(732\) | −0.320416 | + | 0.628852i | −0.0118429 | + | 0.0232430i | ||||
\(733\) | −11.5449 | − | 15.8902i | −0.426421 | − | 0.586918i | 0.540706 | − | 0.841212i | \(-0.318157\pi\) |
−0.967127 | + | 0.254293i | \(0.918157\pi\) | |||||||
\(734\) | −31.2223 | + | 22.6843i | −1.15243 | + | 0.837293i | ||||
\(735\) | −21.8911 | + | 21.8911i | −0.807465 | + | 0.807465i | ||||
\(736\) | −1.06219 | + | 0.345125i | −0.0391527 | + | 0.0127215i | ||||
\(737\) | 3.07166 | 0.113146 | ||||||||
\(738\) | 21.2425 | + | 33.9093i | 0.781949 | + | 1.24822i | ||||
\(739\) | 21.4364 | 0.788552 | 0.394276 | − | 0.918992i | \(-0.370995\pi\) | ||||
0.394276 | + | 0.918992i | \(0.370995\pi\) | |||||||
\(740\) | −1.01127 | + | 0.328583i | −0.0371752 | + | 0.0120789i | ||||
\(741\) | 7.55648 | − | 7.55648i | 0.277594 | − | 0.277594i | ||||
\(742\) | −29.9709 | + | 21.7752i | −1.10027 | + | 0.799391i | ||||
\(743\) | 15.6932 | + | 21.5998i | 0.575727 | + | 0.792420i | 0.993219 | − | 0.116261i | \(-0.0370908\pi\) |
−0.417492 | + | 0.908681i | \(0.637091\pi\) | |||||||
\(744\) | −4.96970 | + | 9.75359i | −0.182198 | + | 0.357584i | ||||
\(745\) | −2.78627 | − | 5.46835i | −0.102081 | − | 0.200345i | ||||
\(746\) | −8.78275 | + | 12.0884i | −0.321559 | + | 0.442588i | ||||
\(747\) | 55.5709i | 2.03323i | ||||||||
\(748\) | −0.499932 | − | 0.363222i | −0.0182793 | − | 0.0132807i | ||||
\(749\) | 57.2093 | − | 9.06107i | 2.09038 | − | 0.331084i | ||||
\(750\) | −4.52835 | + | 28.5909i | −0.165352 | + | 1.04399i | ||||
\(751\) | −16.3078 | − | 8.30926i | −0.595082 | − | 0.303209i | 0.130388 | − | 0.991463i | \(-0.458378\pi\) |
−0.725470 | + | 0.688254i | \(0.758378\pi\) | |||||||
\(752\) | −12.1920 | − | 12.1920i | −0.444596 | − | 0.444596i | ||||
\(753\) | −21.0929 | − | 3.34079i | −0.768668 | − | 0.121745i | ||||
\(754\) | 0.511941 | − | 1.57559i | 0.0186438 | − | 0.0573797i | ||||
\(755\) | 2.50430 | + | 15.8115i | 0.0911409 | + | 0.575441i | ||||
\(756\) | 0.899248 | + | 2.76760i | 0.0327053 | + | 0.100657i | ||||
\(757\) | 15.9241 | − | 8.11374i | 0.578772 | − | 0.294899i | −0.139993 | − | 0.990153i | \(-0.544708\pi\) |
0.718765 | + | 0.695254i | \(0.244708\pi\) | |||||||
\(758\) | −18.6224 | − | 6.05080i | −0.676398 | − | 0.219775i | ||||
\(759\) | −1.45850 | − | 0.473894i | −0.0529401 | − | 0.0172013i | ||||
\(760\) | −8.09969 | + | 4.12700i | −0.293807 | + | 0.149702i | ||||
\(761\) | 2.00583 | + | 6.17330i | 0.0727111 | + | 0.223782i | 0.980807 | − | 0.194980i | \(-0.0624642\pi\) |
−0.908096 | + | 0.418762i | \(0.862464\pi\) | |||||||
\(762\) | −6.21714 | − | 39.2535i | −0.225223 | − | 1.42200i | ||||
\(763\) | −2.50068 | + | 7.69632i | −0.0905309 | + | 0.278625i | ||||
\(764\) | 2.10538 | + | 0.333459i | 0.0761699 | + | 0.0120641i | ||||
\(765\) | −13.8571 | − | 13.8571i | −0.501004 | − | 0.501004i | ||||
\(766\) | −9.06839 | − | 4.62058i | −0.327654 | − | 0.166948i | ||||
\(767\) | 1.25988 | − | 7.95458i | 0.0454917 | − | 0.287223i | ||||
\(768\) | 11.9501 | − | 1.89271i | 0.431211 | − | 0.0682972i | ||||
\(769\) | 12.0454 | + | 8.75147i | 0.434367 | + | 0.315586i | 0.783393 | − | 0.621527i | \(-0.213487\pi\) |
−0.349026 | + | 0.937113i | \(0.613487\pi\) | |||||||
\(770\) | − | 2.92080i | − | 0.105258i | ||||||
\(771\) | 37.1336 | − | 51.1100i | 1.33733 | − | 1.84068i | ||||
\(772\) | 1.00439 | + | 1.97123i | 0.0361488 | + | 0.0709460i | ||||
\(773\) | −15.0844 | + | 29.6048i | −0.542548 | + | 1.06481i | 0.443175 | + | 0.896435i | \(0.353852\pi\) |
−0.985723 | + | 0.168375i | \(0.946148\pi\) | |||||||
\(774\) | −22.8505 | − | 31.4510i | −0.821343 | − | 1.13048i | ||||
\(775\) | 5.41183 | − | 3.93192i | 0.194399 | − | 0.141239i | ||||
\(776\) | −3.68048 | + | 3.68048i | −0.132122 | + | 0.132122i | ||||
\(777\) | −86.7611 | + | 28.1904i | −3.11254 | + | 1.01133i | ||||
\(778\) | −45.1527 | −1.61880 | ||||||||
\(779\) | 21.1530 | − | 18.4303i | 0.757885 | − | 0.660334i | ||||
\(780\) | −0.357353 | −0.0127953 | ||||||||
\(781\) | 0.564876 | − | 0.183539i | 0.0202129 | − | 0.00656755i | ||||
\(782\) | −6.56277 | + | 6.56277i | −0.234684 | + | 0.234684i | ||||
\(783\) | 3.28242 | − | 2.38482i | 0.117304 | − | 0.0852265i | ||||
\(784\) | −37.9694 | − | 52.2604i | −1.35605 | − | 1.86644i | ||||
\(785\) | 4.24334 | − | 8.32803i | 0.151451 | − | 0.297240i | ||||
\(786\) | 1.47121 | + | 2.88741i | 0.0524762 | + | 0.102990i | ||||
\(787\) | 30.3707 | − | 41.8017i | 1.08260 | − | 1.49007i | 0.225974 | − | 0.974133i | \(-0.427444\pi\) |
0.856626 | − | 0.515937i | \(-0.172556\pi\) | |||||||
\(788\) | 1.91213i | 0.0681168i | ||||||||
\(789\) | 46.4850 | + | 33.7733i | 1.65491 | + | 1.20236i | ||||
\(790\) | 13.8014 | − | 2.18592i | 0.491031 | − | 0.0777717i | ||||
\(791\) | −0.854459 | + | 5.39484i | −0.0303811 | + | 0.191819i | ||||
\(792\) | 5.49542 | + | 2.80006i | 0.195271 | + | 0.0994956i | ||||
\(793\) | −0.890559 | − | 0.890559i | −0.0316247 | − | 0.0316247i | ||||
\(794\) | 35.1233 | + | 5.56299i | 1.24648 | + | 0.197423i | ||||
\(795\) | 3.44290 | − | 10.5962i | 0.122107 | − | 0.375807i | ||||
\(796\) | −0.249093 | − | 1.57271i | −0.00882888 | − | 0.0557434i | ||||
\(797\) | 4.43551 | + | 13.6511i | 0.157114 | + | 0.483547i | 0.998369 | − | 0.0570915i | \(-0.0181827\pi\) |
−0.841255 | + | 0.540639i | \(0.818183\pi\) | |||||||
\(798\) | 72.6113 | − | 36.9973i | 2.57041 | − | 1.30969i | ||||
\(799\) | −22.6263 | − | 7.35172i | −0.800460 | − | 0.260085i | ||||
\(800\) | −4.46478 | − | 1.45070i | −0.157854 | − | 0.0512898i | ||||
\(801\) | −7.34104 | + | 3.74044i | −0.259383 | + | 0.132162i | ||||
\(802\) | 2.17925 | + | 6.70706i | 0.0769521 | + | 0.236834i | ||||
\(803\) | 0.478583 | + | 3.02165i | 0.0168888 | + | 0.106632i | ||||
\(804\) | 0.885605 | − | 2.72561i | 0.0312329 | − | 0.0961249i | ||||
\(805\) | −3.74482 | − | 0.593121i | −0.131987 | − | 0.0209048i | ||||
\(806\) | 1.44331 | + | 1.44331i | 0.0508383 | + | 0.0508383i | ||||
\(807\) | 64.7406 | + | 32.9870i | 2.27898 | + | 1.16120i | ||||
\(808\) | 3.52607 | − | 22.2627i | 0.124047 | − | 0.783200i | ||||
\(809\) | 43.6281 | − | 6.91001i | 1.53388 | − | 0.242943i | 0.668369 | − | 0.743830i | \(-0.266993\pi\) |
0.865513 | + | 0.500887i | \(0.166993\pi\) | |||||||
\(810\) | 3.55255 | + | 2.58108i | 0.124824 | + | 0.0906899i | ||||
\(811\) | 27.7113i | 0.973074i | 0.873660 | + | 0.486537i | \(0.161740\pi\) | ||||
−0.873660 | + | 0.486537i | \(0.838260\pi\) | |||||||
\(812\) | 0.641806 | − | 0.883371i | 0.0225230 | − | 0.0310002i | ||||
\(813\) | −14.5659 | − | 28.5872i | −0.510849 | − | 1.00260i | ||||
\(814\) | 2.65703 | − | 5.21472i | 0.0931289 | − | 0.182776i | ||||
\(815\) | 0.910726 | + | 1.25351i | 0.0319014 | + | 0.0439084i | ||||
\(816\) | 56.5787 | − | 41.1068i | 1.98065 | − | 1.43903i | ||||
\(817\) | −19.2742 | + | 19.2742i | −0.674319 | + | 0.674319i | ||||
\(818\) | 52.2233 | − | 16.9684i | 1.82594 | − | 0.593285i | ||||
\(819\) | −17.9258 | −0.626378 | ||||||||
\(820\) | −0.935966 | − | 0.0643793i | −0.0326853 | − | 0.00224822i | ||||
\(821\) | 11.1582 | 0.389424 | 0.194712 | − | 0.980860i | \(-0.437623\pi\) | ||||
0.194712 | + | 0.980860i | \(0.437623\pi\) | |||||||
\(822\) | −16.2776 | + | 5.28890i | −0.567745 | + | 0.184472i | ||||
\(823\) | −28.5619 | + | 28.5619i | −0.995606 | + | 0.995606i | −0.999990 | − | 0.00438414i | \(-0.998604\pi\) |
0.00438414 | + | 0.999990i | \(0.498604\pi\) | |||||||
\(824\) | 9.31316 | − | 6.76641i | 0.324439 | − | 0.235719i | ||||
\(825\) | −3.78893 | − | 5.21502i | −0.131914 | − | 0.181564i | ||||
\(826\) | 27.8826 | − | 54.7226i | 0.970159 | − | 1.90404i | ||||
\(827\) | −0.960885 | − | 1.88584i | −0.0334133 | − | 0.0655772i | 0.873696 | − | 0.486472i | \(-0.161716\pi\) |
−0.907110 | + | 0.420894i | \(0.861716\pi\) | |||||||
\(828\) | −0.491729 | + | 0.676807i | −0.0170888 | + | 0.0235207i | ||||
\(829\) | 22.5376i | 0.782765i | 0.920228 | + | 0.391382i | \(0.128003\pi\) | ||||
−0.920228 | + | 0.391382i | \(0.871997\pi\) | |||||||
\(830\) | −12.1962 | − | 8.86103i | −0.423335 | − | 0.307571i | ||||
\(831\) | 38.9340 | − | 6.16653i | 1.35060 | − | 0.213915i | ||||
\(832\) | −1.00887 | + | 6.36972i | −0.0349761 | + | 0.220830i | ||||
\(833\) | −79.4169 | − | 40.4650i | −2.75163 | − | 1.40203i | ||||
\(834\) | −14.1275 | − | 14.1275i | −0.489194 | − | 0.489194i | ||||
\(835\) | −14.6260 | − | 2.31654i | −0.506155 | − | 0.0801670i | ||||
\(836\) | −0.139636 | + | 0.429754i | −0.00482940 | + | 0.0148634i | ||||
\(837\) | 0.781997 | + | 4.93734i | 0.0270298 | + | 0.170659i | ||||
\(838\) | 5.13337 | + | 15.7989i | 0.177329 | + | 0.545764i | ||||
\(839\) | 27.0427 | − | 13.7790i | 0.933619 | − | 0.475703i | 0.0801132 | − | 0.996786i | \(-0.474472\pi\) |
0.853506 | + | 0.521083i | \(0.174472\pi\) | |||||||
\(840\) | 24.8035 | + | 8.05915i | 0.855803 | + | 0.278067i | ||||
\(841\) | 26.1328 | + | 8.49105i | 0.901130 | + | 0.292795i | ||||
\(842\) | 22.3420 | − | 11.3838i | 0.769957 | − | 0.392313i | ||||
\(843\) | 8.88376 | + | 27.3414i | 0.305973 | + | 0.941688i | ||||
\(844\) | 0.384314 | + | 2.42646i | 0.0132286 | + | 0.0835222i | ||||
\(845\) | −2.91374 | + | 8.96757i | −0.100236 | + | 0.308494i | ||||
\(846\) | −24.5060 | − | 3.88137i | −0.842534 | − | 0.133444i | ||||
\(847\) | −35.3967 | − | 35.3967i | −1.21625 | − | 1.21625i | ||||
\(848\) | 20.7136 | + | 10.5541i | 0.711308 | + | 0.362430i | ||||
\(849\) | −8.01920 | + | 50.6313i | −0.275218 | + | 1.73766i | ||||
\(850\) | −38.5320 | + | 6.10287i | −1.32164 | + | 0.209327i | ||||
\(851\) | −6.14633 | − | 4.46557i | −0.210694 | − | 0.153078i | ||||
\(852\) | − | 0.554154i | − | 0.0189850i | ||||||
\(853\) | −10.9647 | + | 15.0916i | −0.375423 | + | 0.516726i | −0.954365 | − | 0.298643i | \(-0.903466\pi\) |
0.578942 | + | 0.815369i | \(0.303466\pi\) | |||||||
\(854\) | −4.36027 | − | 8.55751i | −0.149205 | − | 0.292832i | ||||
\(855\) | −6.50570 | + | 12.7682i | −0.222490 | + | 0.436662i | ||||
\(856\) | −19.5030 | − | 26.8436i | −0.666599 | − | 0.917494i | ||||
\(857\) | −38.9323 | + | 28.2860i | −1.32990 | + | 0.966232i | −0.330152 | + | 0.943928i | \(0.607100\pi\) |
−0.999751 | + | 0.0223039i | \(0.992900\pi\) | |||||||
\(858\) | 1.39082 | − | 1.39082i | 0.0474817 | − | 0.0474817i | ||||
\(859\) | −17.0896 | + | 5.55276i | −0.583091 | + | 0.189458i | −0.585685 | − | 0.810539i | \(-0.699174\pi\) |
0.00259400 | + | 0.999997i | \(0.499174\pi\) | |||||||
\(860\) | 0.911495 | 0.0310817 | ||||||||
\(861\) | −80.3002 | − | 5.52336i | −2.73662 | − | 0.188235i | ||||
\(862\) | 30.1105 | 1.02557 | ||||||||
\(863\) | −32.1502 | + | 10.4462i | −1.09441 | + | 0.355594i | −0.799947 | − | 0.600070i | \(-0.795139\pi\) |
−0.294459 | + | 0.955664i | \(0.595139\pi\) | |||||||
\(864\) | 2.48065 | − | 2.48065i | 0.0843933 | − | 0.0843933i | ||||
\(865\) | 3.76128 | − | 2.73273i | 0.127887 | − | 0.0929156i | ||||
\(866\) | −18.4364 | − | 25.3755i | −0.626494 | − | 0.862295i | ||||
\(867\) | 23.0657 | − | 45.2690i | 0.783353 | − | 1.53742i | ||||
\(868\) | 0.610757 | + | 1.19868i | 0.0207304 | + | 0.0406858i | ||||
\(869\) | −3.90722 | + | 5.37783i | −0.132544 | + | 0.182430i | ||||
\(870\) | 3.79949i | 0.128815i | ||||||||
\(871\) | 4.13738 | + | 3.00598i | 0.140190 | + | 0.101854i | ||||
\(872\) | 4.57859 | − | 0.725178i | 0.155051 | − | 0.0245576i | ||||
\(873\) | −1.28355 | + | 8.10401i | −0.0434415 | + | 0.274279i | ||||
\(874\) | 6.04705 | + | 3.08113i | 0.204545 | + | 0.104221i | ||||
\(875\) | −24.0742 | − | 24.0742i | −0.813855 | − | 0.813855i | ||||
\(876\) | 2.81922 | + | 0.446520i | 0.0952525 | + | 0.0150865i | ||||
\(877\) | −8.35976 | + | 25.7287i | −0.282289 | + | 0.868796i | 0.704909 | + | 0.709298i | \(0.250988\pi\) |
−0.987198 | + | 0.159499i | \(0.949012\pi\) | |||||||
\(878\) | 4.78366 | + | 30.2028i | 0.161441 | + | 1.01930i | ||||
\(879\) | 21.5429 | + | 66.3022i | 0.726624 | + | 2.23632i | ||||
\(880\) | −1.63311 | + | 0.832111i | −0.0550521 | + | 0.0280505i | ||||
\(881\) | −15.9073 | − | 5.16859i | −0.535930 | − | 0.174134i | 0.0285328 | − | 0.999593i | \(-0.490916\pi\) |
−0.564462 | + | 0.825459i | \(0.690916\pi\) | |||||||
\(882\) | −88.4065 | − | 28.7250i | −2.97680 | − | 0.967222i | ||||
\(883\) | 22.7575 | − | 11.5955i | 0.765852 | − | 0.390221i | −0.0269999 | − | 0.999635i | \(-0.508595\pi\) |
0.792852 | + | 0.609414i | \(0.208595\pi\) | |||||||
\(884\) | −0.317929 | − | 0.978485i | −0.0106931 | − | 0.0329100i | ||||
\(885\) | 2.88947 | + | 18.2434i | 0.0971285 | + | 0.613245i | ||||
\(886\) | −9.92302 | + | 30.5399i | −0.333370 | + | 1.02601i | ||||
\(887\) | 39.5201 | + | 6.25936i | 1.32695 | + | 0.210169i | 0.779361 | − | 0.626576i | \(-0.215544\pi\) |
0.547594 | + | 0.836744i | \(0.315544\pi\) | |||||||
\(888\) | 36.9521 | + | 36.9521i | 1.24003 | + | 1.24003i | ||||
\(889\) | 41.6483 | + | 21.2209i | 1.39684 | + | 0.711726i | ||||
\(890\) | 0.349645 | − | 2.20757i | 0.0117201 | − | 0.0739979i | ||||
\(891\) | −2.06324 | + | 0.326785i | −0.0691211 | + | 0.0109477i | ||||
\(892\) | −2.67853 | − | 1.94607i | −0.0896838 | − | 0.0651591i | ||||
\(893\) | 17.3967i | 0.582159i | ||||||||
\(894\) | 18.5253 | − | 25.4979i | 0.619580 | − | 0.852778i | ||||
\(895\) | 3.21822 | + | 6.31612i | 0.107573 | + | 0.211125i | ||||
\(896\) | −26.8579 | + | 52.7116i | −0.897260 | + | 1.76097i | ||||
\(897\) | −1.50076 | − | 2.06562i | −0.0501090 | − | 0.0689692i | ||||
\(898\) | 6.64701 | − | 4.82933i | 0.221814 | − | 0.161157i | ||||
\(899\) | 1.32631 | − | 1.32631i | 0.0442350 | − | 0.0442350i | ||||
\(900\) | −3.34436 | + | 1.08665i | −0.111479 | + | 0.0362216i | ||||
\(901\) | 32.0769 | 1.06864 | ||||||||
\(902\) | 3.89334 | − | 3.39221i | 0.129634 | − | 0.112948i | ||||
\(903\) | 78.2007 | 2.60236 | ||||||||
\(904\) | 2.97578 | − | 0.966890i | 0.0989730 | − | 0.0321583i | ||||
\(905\) | 10.4330 | − | 10.4330i | 0.346805 | − | 0.346805i | ||||
\(906\) | −66.5095 | + | 48.3220i | −2.20963 | + | 1.60539i | ||||
\(907\) | −14.3108 | − | 19.6971i | −0.475182 | − | 0.654032i | 0.502388 | − | 0.864642i | \(-0.332455\pi\) |
−0.977570 | + | 0.210610i | \(0.932455\pi\) | |||||||
\(908\) | −2.33995 | + | 4.59240i | −0.0776539 | + | 0.152404i | ||||
\(909\) | −16.1312 | − | 31.6592i | −0.535037 | − | 1.05007i | ||||
\(910\) | 2.85835 | − | 3.93418i | 0.0947534 | − | 0.130417i | ||||
\(911\) | − | 24.0894i | − | 0.798118i | −0.916925 | − | 0.399059i | \(-0.869337\pi\) | ||
0.916925 | − | 0.399059i | \(-0.130663\pi\) | |||||||
\(912\) | −41.3726 | − | 30.0590i | −1.36998 | − | 0.995352i | ||||
\(913\) | 7.08325 | − | 1.12188i | 0.234421 | − | 0.0371287i | ||||
\(914\) | 8.96149 | − | 56.5806i | 0.296420 | − | 1.87152i | ||||
\(915\) | 2.57364 | + | 1.31133i | 0.0850818 | + | 0.0433513i | ||||
\(916\) | 3.02835 | + | 3.02835i | 0.100059 | + | 0.100059i | ||||
\(917\) | −3.76449 | − | 0.596236i | −0.124314 | − | 0.0196894i | ||||
\(918\) | 9.00887 | − | 27.7264i | 0.297337 | − | 0.915109i | ||||
\(919\) | 1.12618 | + | 7.11039i | 0.0371491 | + | 0.234550i | 0.999276 | − | 0.0380527i | \(-0.0121155\pi\) |
−0.962127 | + | 0.272603i | \(0.912115\pi\) | |||||||
\(920\) | 0.671164 | + | 2.06563i | 0.0221276 | + | 0.0681018i | ||||
\(921\) | 20.7312 | − | 10.5631i | 0.683116 | − | 0.348065i | ||||
\(922\) | 7.16312 | + | 2.32744i | 0.235905 | + | 0.0766501i | ||||
\(923\) | 0.940476 | + | 0.305579i | 0.0309561 | + | 0.0100583i | ||||
\(924\) | 1.15509 | − | 0.588545i | 0.0379995 | − | 0.0193617i | ||||
\(925\) | −9.86824 | − | 30.3713i | −0.324466 | − | 0.998603i | ||||
\(926\) | −0.667460 | − | 4.21418i | −0.0219341 | − | 0.138486i | ||||
\(927\) | 5.60766 | − | 17.2586i | 0.184180 | − | 0.566847i | ||||
\(928\) | −1.30013 | − | 0.205921i | −0.0426790 | − | 0.00675969i | ||||
\(929\) | 4.87523 | + | 4.87523i | 0.159951 | + | 0.159951i | 0.782545 | − | 0.622594i | \(-0.213921\pi\) |
−0.622594 | + | 0.782545i | \(0.713921\pi\) | |||||||
\(930\) | −4.17102 | − | 2.12524i | −0.136773 | − | 0.0696895i | ||||
\(931\) | −10.1959 | + | 64.3743i | −0.334157 | + | 2.10978i | ||||
\(932\) | 4.52447 | − | 0.716606i | 0.148204 | − | 0.0234732i | ||||
\(933\) | −17.5667 | − | 12.7630i | −0.575109 | − | 0.417841i | ||||
\(934\) | 54.5325i | 1.78436i | ||||||||
\(935\) | −1.48652 | + | 2.04602i | −0.0486144 | + | 0.0669120i | ||||
\(936\) | 4.66188 | + | 9.14945i | 0.152378 | + | 0.299059i | ||||
\(937\) | 26.3251 | − | 51.6659i | 0.860003 | − | 1.68785i | 0.144200 | − | 0.989549i | \(-0.453939\pi\) |
0.715803 | − | 0.698303i | \(-0.246061\pi\) | |||||||
\(938\) | 22.9232 | + | 31.5511i | 0.748469 | + | 1.03018i | ||||
\(939\) | 7.50430 | − | 5.45219i | 0.244894 | − | 0.177926i | ||||
\(940\) | 0.411353 | − | 0.411353i | 0.0134169 | − | 0.0134169i | ||||
\(941\) | 38.7521 | − | 12.5913i | 1.26328 | − | 0.410466i | 0.400620 | − | 0.916244i | \(-0.368795\pi\) |
0.862663 | + | 0.505779i | \(0.168795\pi\) | |||||||
\(942\) | 47.9991 | 1.56389 | ||||||||
\(943\) | −3.55861 | − | 5.68057i | −0.115884 | − | 0.184985i | ||||
\(944\) | −38.5406 | −1.25439 | ||||||||
\(945\) | 11.3267 | − | 3.68026i | 0.368457 | − | 0.119719i | ||||
\(946\) | −3.54753 | + | 3.54753i | −0.115340 | + | 0.115340i | ||||
\(947\) | −22.6790 | + | 16.4773i | −0.736970 | + | 0.535440i | −0.891761 | − | 0.452507i | \(-0.850530\pi\) |
0.154791 | + | 0.987947i | \(0.450530\pi\) | |||||||
\(948\) | 3.64546 | + | 5.01754i | 0.118399 | + | 0.162962i | ||||
\(949\) | −2.31242 | + | 4.53837i | −0.0750642 | + | 0.147322i | ||||
\(950\) | 12.9512 | + | 25.4181i | 0.420191 | + | 0.824671i | ||||
\(951\) | −44.1012 | + | 60.7001i | −1.43008 | + | 1.96833i | ||||
\(952\) | 75.0857i | 2.43354i | ||||||||
\(953\) | −31.1757 | − | 22.6505i | −1.00988 | − | 0.733721i | −0.0456960 | − | 0.998955i | \(-0.514551\pi\) |
−0.964184 | + | 0.265235i | \(0.914551\pi\) | |||||||
\(954\) | 33.0414 | − | 5.23324i | 1.06975 | − | 0.169432i | ||||
\(955\) | 1.36471 | − | 8.61646i | 0.0441611 | − | 0.278822i | ||||
\(956\) | −3.75634 | − | 1.91395i | −0.121489 | − | 0.0619016i | ||||
\(957\) | −1.27808 | − | 1.27808i | −0.0413144 | − | 0.0413144i | ||||
\(958\) | 46.6208 | + | 7.38402i | 1.50625 | + | 0.238567i | ||||
\(959\) | 6.22048 | − | 19.1447i | 0.200870 | − | 0.618213i | ||||
\(960\) | −2.31378 | − | 14.6086i | −0.0746768 | − | 0.471491i | ||||
\(961\) | −8.86539 | − | 27.2849i | −0.285980 | − | 0.880157i | ||||
\(962\) | 8.68211 | − | 4.42376i | 0.279922 | − | 0.142628i | ||||
\(963\) | −49.7449 | − | 16.1631i | −1.60301 | − | 0.520849i | ||||
\(964\) | −2.17451 | − | 0.706541i | −0.0700362 | − | 0.0227561i | ||||
\(965\) | 8.06743 | − | 4.11056i | 0.259700 | − | 0.132324i | ||||
\(966\) | −6.01679 | − | 18.5178i | −0.193587 | − | 0.595799i | ||||
\(967\) | −6.60601 | − | 41.7087i | −0.212435 | − | 1.34126i | −0.831326 | − | 0.555785i | \(-0.812418\pi\) |
0.618891 | − | 0.785477i | \(-0.287582\pi\) | |||||||
\(968\) | −8.86128 | + | 27.2722i | −0.284812 | + | 0.876562i | ||||
\(969\) | −69.6936 | − | 11.0384i | −2.23888 | − | 0.354604i | ||||
\(970\) | −1.57392 | − | 1.57392i | −0.0505356 | − | 0.0505356i | ||||
\(971\) | −1.85832 | − | 0.946862i | −0.0596364 | − | 0.0303863i | 0.423918 | − | 0.905701i | \(-0.360654\pi\) |
−0.483554 | + | 0.875314i | \(0.660654\pi\) | |||||||
\(972\) | −0.596887 | + | 3.76860i | −0.0191452 | + | 0.120878i | ||||
\(973\) | 23.2091 | − | 3.67595i | 0.744048 | − | 0.117846i | ||||
\(974\) | −21.4650 | − | 15.5952i | −0.687783 | − | 0.499703i | ||||
\(975\) | − | 10.7323i | − | 0.343709i | ||||||
\(976\) | −3.54256 | + | 4.87592i | −0.113395 | + | 0.156074i | ||||
\(977\) | 13.5363 | + | 26.5664i | 0.433063 | + | 0.849935i | 0.999663 | + | 0.0259417i | \(0.00825842\pi\) |
−0.566600 | + | 0.823993i | \(0.691742\pi\) | |||||||
\(978\) | −3.61233 | + | 7.08960i | −0.115510 | + | 0.226700i | ||||
\(979\) | 0.624971 | + | 0.860199i | 0.0199742 | + | 0.0274921i | ||||
\(980\) | 1.76325 | − | 1.28107i | 0.0563249 | − | 0.0409224i | ||||
\(981\) | 5.16722 | − | 5.16722i | 0.164977 | − | 0.164977i | ||||
\(982\) | −35.2037 | + | 11.4384i | −1.12340 | + | 0.365013i | ||||
\(983\) | −36.2484 | −1.15615 | −0.578073 | − | 0.815985i | \(-0.696195\pi\) | ||||
−0.578073 | + | 0.815985i | \(0.696195\pi\) | |||||||
\(984\) | 18.0641 | + | 42.4222i | 0.575863 | + | 1.35237i | ||||
\(985\) | 7.82557 | 0.249343 | ||||||||
\(986\) | −10.4036 | + | 3.38032i | −0.331317 | + | 0.107651i | ||||
\(987\) | 35.2916 | − | 35.2916i | 1.12334 | − | 1.12334i | ||||
\(988\) | −0.608647 | + | 0.442208i | −0.0193637 | + | 0.0140685i | ||||
\(989\) | 3.82797 | + | 5.26875i | 0.121722 | + | 0.167537i | ||||
\(990\) | −1.19742 | + | 2.35006i | −0.0380563 | + | 0.0746898i | ||||
\(991\) | 6.13732 | + | 12.0452i | 0.194959 | + | 0.382628i | 0.967704 | − | 0.252088i | \(-0.0811172\pi\) |
−0.772746 | + | 0.634716i | \(0.781117\pi\) | |||||||
\(992\) | 0.953285 | − | 1.31208i | 0.0302668 | − | 0.0416587i | ||||
\(993\) | − | 60.6821i | − | 1.92569i | ||||||
\(994\) | 6.10081 | + | 4.43250i | 0.193506 | + | 0.140590i | ||||
\(995\) | −6.43648 | + | 1.01944i | −0.204050 | + | 0.0323184i | ||||
\(996\) | 1.04672 | − | 6.60871i | 0.0331665 | − | 0.209405i | ||||
\(997\) | 24.8214 | + | 12.6471i | 0.786101 | + | 0.400538i | 0.800481 | − | 0.599358i | \(-0.204577\pi\) |
−0.0143801 | + | 0.999897i | \(0.504577\pi\) | |||||||
\(998\) | −27.0156 | − | 27.0156i | −0.855164 | − | 0.855164i | ||||
\(999\) | 23.5702 | + | 3.73316i | 0.745729 | + | 0.118112i |
(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 | 41.2.g.a.2.2 | ✓ | 24 | |
3.2 | odd | 2 | 369.2.u.a.289.2 | 24 | |||
4.3 | odd | 2 | 656.2.bs.d.289.3 | 24 | |||
41.12 | odd | 40 | 1681.2.a.m.1.17 | 24 | |||
41.21 | even | 20 | inner | 41.2.g.a.21.2 | yes | 24 | |
41.29 | odd | 40 | 1681.2.a.m.1.18 | 24 | |||
123.62 | odd | 20 | 369.2.u.a.226.2 | 24 | |||
164.103 | odd | 20 | 656.2.bs.d.513.3 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.2.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
41.2.g.a.21.2 | yes | 24 | 41.21 | even | 20 | inner | |
369.2.u.a.226.2 | 24 | 123.62 | odd | 20 | |||
369.2.u.a.289.2 | 24 | 3.2 | odd | 2 | |||
656.2.bs.d.289.3 | 24 | 4.3 | odd | 2 | |||
656.2.bs.d.513.3 | 24 | 164.103 | odd | 20 | |||
1681.2.a.m.1.17 | 24 | 41.12 | odd | 40 | |||
1681.2.a.m.1.18 | 24 | 41.29 | odd | 40 |