Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(128,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.128");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.y (of order \(12\), degree \(4\), not 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 263.2 | ||
Character | \(\chi\) | \(=\) | 735.263 |
Dual form | 735.2.y.j.422.2 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.565195 | + | 2.10934i | −0.399653 | + | 1.49153i | 0.414055 | + | 0.910252i | \(0.364112\pi\) |
−0.813708 | + | 0.581274i | \(0.802554\pi\) | |||||||
\(3\) | 1.50310 | + | 0.860631i | 0.867816 | + | 0.496886i | ||||
\(4\) | −2.39780 | − | 1.38437i | −1.19890 | − | 0.692186i | ||||
\(5\) | −2.05036 | + | 0.892212i | −0.916947 | + | 0.399009i | ||||
\(6\) | −2.66491 | + | 2.68412i | −1.08794 | + | 1.09579i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.18705 | − | 1.18705i | 0.419686 | − | 0.419686i | ||||
\(9\) | 1.51863 | + | 2.58723i | 0.506210 | + | 0.862410i | ||||
\(10\) | −0.723123 | − | 4.82916i | −0.228672 | − | 1.52712i | ||||
\(11\) | −2.93155 | − | 1.69253i | −0.883896 | − | 0.510318i | −0.0119552 | − | 0.999929i | \(-0.503806\pi\) |
−0.871941 | + | 0.489611i | \(0.837139\pi\) | |||||||
\(12\) | −2.41271 | − | 4.14448i | −0.696489 | − | 1.19641i | ||||
\(13\) | −0.206632 | − | 0.206632i | −0.0573094 | − | 0.0573094i | 0.677871 | − | 0.735181i | \(-0.262903\pi\) |
−0.735181 | + | 0.677871i | \(0.762903\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.84976 | − | 0.423515i | −0.994003 | − | 0.109351i | ||||
\(16\) | −0.935769 | − | 1.62080i | −0.233942 | − | 0.405200i | ||||
\(17\) | 0.228684 | − | 0.0612758i | 0.0554641 | − | 0.0148616i | −0.230980 | − | 0.972958i | \(-0.574193\pi\) |
0.286444 | + | 0.958097i | \(0.407527\pi\) | |||||||
\(18\) | −6.31566 | + | 1.74101i | −1.48862 | + | 0.410360i | ||||
\(19\) | −4.60222 | + | 2.65710i | −1.05582 | + | 0.609579i | −0.924274 | − | 0.381730i | \(-0.875328\pi\) |
−0.131549 | + | 0.991310i | \(0.541995\pi\) | |||||||
\(20\) | 6.15151 | + | 0.699108i | 1.37552 | + | 0.156325i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.22702 | − | 5.22702i | 1.11440 | − | 1.11440i | ||||
\(23\) | −6.93630 | − | 1.85858i | −1.44632 | − | 0.387540i | −0.551577 | − | 0.834124i | \(-0.685974\pi\) |
−0.894742 | + | 0.446584i | \(0.852640\pi\) | |||||||
\(24\) | 2.80587 | − | 0.762646i | 0.572747 | − | 0.155675i | ||||
\(25\) | 3.40792 | − | 3.65870i | 0.681583 | − | 0.731740i | ||||
\(26\) | 0.552644 | − | 0.319069i | 0.108382 | − | 0.0625746i | ||||
\(27\) | 0.0560017 | + | 5.19585i | 0.0107775 | + | 0.999942i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.84268 | 0.527872 | 0.263936 | − | 0.964540i | \(-0.414979\pi\) | ||||
0.263936 | + | 0.964540i | \(0.414979\pi\) | |||||||
\(30\) | 3.06920 | − | 7.88107i | 0.560357 | − | 1.43888i | ||||
\(31\) | −4.55888 | + | 7.89621i | −0.818799 | + | 1.41820i | 0.0877689 | + | 0.996141i | \(0.472026\pi\) |
−0.906568 | + | 0.422060i | \(0.861307\pi\) | |||||||
\(32\) | 7.19079 | − | 1.92677i | 1.27116 | − | 0.340607i | ||||
\(33\) | −2.94978 | − | 5.06703i | −0.513490 | − | 0.882057i | ||||
\(34\) | 0.517005i | 0.0886657i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.0596812 | − | 8.30602i | −0.00994686 | − | 1.38434i | ||||
\(37\) | 7.19913 | + | 1.92900i | 1.18353 | + | 0.317126i | 0.796326 | − | 0.604868i | \(-0.206774\pi\) |
0.387204 | + | 0.921994i | \(0.373441\pi\) | |||||||
\(38\) | −3.00355 | − | 11.2094i | −0.487241 | − | 1.81841i | ||||
\(39\) | −0.132755 | − | 0.488423i | −0.0212578 | − | 0.0782102i | ||||
\(40\) | −1.37478 | + | 3.49298i | −0.217371 | + | 0.552289i | ||||
\(41\) | 0.0314968i | 0.00491898i | 0.999997 | + | 0.00245949i | \(0.000782881\pi\) | ||||
−0.999997 | + | 0.00245949i | \(0.999217\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.76875 | − | 3.76875i | −0.574728 | − | 0.574728i | 0.358718 | − | 0.933446i | \(-0.383214\pi\) |
−0.933446 | + | 0.358718i | \(0.883214\pi\) | |||||||
\(44\) | 4.68619 | + | 8.11672i | 0.706470 | + | 1.22364i | ||||
\(45\) | −5.42209 | − | 3.94981i | −0.808277 | − | 0.588802i | ||||
\(46\) | 7.84073 | − | 13.5805i | 1.15605 | − | 2.00234i | ||||
\(47\) | 1.30539 | − | 4.87178i | 0.190411 | − | 0.710622i | −0.802997 | − | 0.595983i | \(-0.796762\pi\) |
0.993407 | − | 0.114638i | \(-0.0365709\pi\) | |||||||
\(48\) | −0.0116457 | − | 3.24158i | −0.00168091 | − | 0.467881i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.79130 | + | 9.25632i | 0.819013 | + | 1.30904i | ||||
\(51\) | 0.396472 | + | 0.104709i | 0.0555172 | + | 0.0146622i | ||||
\(52\) | 0.209407 | + | 0.781519i | 0.0290396 | + | 0.108377i | ||||
\(53\) | −1.30045 | − | 4.85336i | −0.178631 | − | 0.666661i | −0.995905 | − | 0.0904106i | \(-0.971182\pi\) |
0.817273 | − | 0.576250i | \(-0.195485\pi\) | |||||||
\(54\) | −10.9914 | − | 2.81854i | −1.49575 | − | 0.383555i | ||||
\(55\) | 7.52082 | + | 0.854729i | 1.01411 | + | 0.115252i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −9.20439 | + | 0.0330677i | −1.21915 | + | 0.00437992i | ||||
\(58\) | −1.60667 | + | 5.99616i | −0.210966 | + | 0.787334i | ||||
\(59\) | −5.15839 | + | 8.93459i | −0.671565 | + | 1.16318i | 0.305895 | + | 0.952065i | \(0.401044\pi\) |
−0.977460 | + | 0.211120i | \(0.932289\pi\) | |||||||
\(60\) | 8.64466 | + | 6.34501i | 1.11602 | + | 0.819137i | ||||
\(61\) | 3.40317 | + | 5.89446i | 0.435731 | + | 0.754708i | 0.997355 | − | 0.0726843i | \(-0.0231566\pi\) |
−0.561624 | + | 0.827393i | \(0.689823\pi\) | |||||||
\(62\) | −14.0791 | − | 14.0791i | −1.78805 | − | 1.78805i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 12.5137i | 1.56422i | ||||||||
\(65\) | 0.608028 | + | 0.239310i | 0.0754166 | + | 0.0296827i | ||||
\(66\) | 12.3553 | − | 3.35821i | 1.52083 | − | 0.413367i | ||||
\(67\) | 2.32355 | + | 8.67161i | 0.283867 | + | 1.05941i | 0.949663 | + | 0.313273i | \(0.101425\pi\) |
−0.665796 | + | 0.746134i | \(0.731908\pi\) | |||||||
\(68\) | −0.633169 | − | 0.169657i | −0.0767831 | − | 0.0205740i | ||||
\(69\) | −8.82642 | − | 8.76323i | −1.06258 | − | 1.05497i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.95454i | 0.469318i | 0.972078 | + | 0.234659i | \(0.0753973\pi\) | ||||
−0.972078 | + | 0.234659i | \(0.924603\pi\) | |||||||
\(72\) | 4.87387 | + | 1.26849i | 0.574391 | + | 0.149493i | ||||
\(73\) | −11.7628 | + | 3.15184i | −1.37673 | + | 0.368895i | −0.869934 | − | 0.493168i | \(-0.835839\pi\) |
−0.506801 | + | 0.862063i | \(0.669172\pi\) | |||||||
\(74\) | −8.13783 | + | 14.0951i | −0.946003 | + | 1.63853i | ||||
\(75\) | 8.27124 | − | 2.56644i | 0.955080 | − | 0.296347i | ||||
\(76\) | 14.7136 | 1.68777 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.10528 | − | 0.00397083i | 0.125148 | − | 0.000449608i | ||||
\(79\) | 9.91161 | − | 5.72247i | 1.11514 | − | 0.643828i | 0.174986 | − | 0.984571i | \(-0.444012\pi\) |
0.940157 | + | 0.340743i | \(0.110678\pi\) | |||||||
\(80\) | 3.36475 | + | 2.48831i | 0.376191 | + | 0.278202i | ||||
\(81\) | −4.38753 | + | 7.85809i | −0.487504 | + | 0.873121i | ||||
\(82\) | −0.0664374 | − | 0.0178019i | −0.00733679 | − | 0.00196589i | ||||
\(83\) | −3.88059 | + | 3.88059i | −0.425951 | + | 0.425951i | −0.887246 | − | 0.461296i | \(-0.847385\pi\) |
0.461296 | + | 0.887246i | \(0.347385\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.414214 | + | 0.329672i | −0.0449278 | + | 0.0357580i | ||||
\(86\) | 10.0796 | − | 5.81948i | 1.08691 | − | 0.627530i | ||||
\(87\) | 4.27283 | + | 2.44649i | 0.458095 | + | 0.262292i | ||||
\(88\) | −5.48903 | + | 1.47078i | −0.585133 | + | 0.156786i | ||||
\(89\) | 1.00095 | + | 1.73369i | 0.106100 | + | 0.183771i | 0.914187 | − | 0.405292i | \(-0.132830\pi\) |
−0.808087 | + | 0.589063i | \(0.799497\pi\) | |||||||
\(90\) | 11.3960 | − | 9.20459i | 1.20124 | − | 0.970249i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 14.0589 | + | 14.0589i | 1.46574 | + | 1.46574i | ||||
\(93\) | −13.6482 | + | 7.94529i | −1.41525 | + | 0.823889i | ||||
\(94\) | 9.53842 | + | 5.50701i | 0.983813 | + | 0.568005i | ||||
\(95\) | 7.06551 | − | 9.55415i | 0.724906 | − | 0.980235i | ||||
\(96\) | 12.4667 | + | 3.29249i | 1.27238 | + | 0.336038i | ||||
\(97\) | 2.26760 | − | 2.26760i | 0.230240 | − | 0.230240i | −0.582553 | − | 0.812793i | \(-0.697946\pi\) |
0.812793 | + | 0.582553i | \(0.197946\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.0729661 | − | 10.1549i | −0.00733337 | − | 1.02061i | ||||
\(100\) | −13.2365 | + | 4.05502i | −1.32365 | + | 0.405502i | ||||
\(101\) | 7.47926 | + | 4.31815i | 0.744214 | + | 0.429672i | 0.823599 | − | 0.567172i | \(-0.191962\pi\) |
−0.0793855 | + | 0.996844i | \(0.525296\pi\) | |||||||
\(102\) | −0.444951 | + | 0.777112i | −0.0440567 | + | 0.0769455i | ||||
\(103\) | 0.352970 | − | 1.31730i | 0.0347792 | − | 0.129798i | −0.946354 | − | 0.323133i | \(-0.895264\pi\) |
0.981133 | + | 0.193335i | \(0.0619305\pi\) | |||||||
\(104\) | −0.490566 | −0.0481039 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.9724 | 1.06573 | ||||||||
\(107\) | 1.08288 | − | 4.04135i | 0.104686 | − | 0.390692i | −0.893624 | − | 0.448817i | \(-0.851845\pi\) |
0.998309 | + | 0.0581249i | \(0.0185122\pi\) | |||||||
\(108\) | 7.05871 | − | 12.5362i | 0.679225 | − | 1.20629i | ||||
\(109\) | −2.44377 | − | 1.41091i | −0.234070 | − | 0.135141i | 0.378378 | − | 0.925651i | \(-0.376482\pi\) |
−0.612448 | + | 0.790511i | \(0.709815\pi\) | |||||||
\(110\) | −6.05364 | + | 15.3809i | −0.577192 | + | 1.46651i | ||||
\(111\) | 9.16087 | + | 9.09528i | 0.869511 | + | 0.863286i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.01798 | + | 2.01798i | −0.189835 | + | 0.189835i | −0.795625 | − | 0.605790i | \(-0.792857\pi\) |
0.605790 | + | 0.795625i | \(0.292857\pi\) | |||||||
\(114\) | 5.13252 | − | 19.4338i | 0.480705 | − | 1.82015i | ||||
\(115\) | 15.8801 | − | 2.37791i | 1.48083 | − | 0.221741i | ||||
\(116\) | −6.81618 | − | 3.93532i | −0.632866 | − | 0.365386i | ||||
\(117\) | 0.220807 | − | 0.848402i | 0.0204137 | − | 0.0784348i | ||||
\(118\) | −15.9306 | − | 15.9306i | −1.46653 | − | 1.46653i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.07260 | + | 4.06713i | −0.463063 | + | 0.371276i | ||||
\(121\) | 0.229334 | + | 0.397218i | 0.0208485 | + | 0.0361107i | ||||
\(122\) | −14.3569 | + | 3.84691i | −1.29981 | + | 0.348283i | ||||
\(123\) | −0.0271072 | + | 0.0473430i | −0.00244417 | + | 0.00426877i | ||||
\(124\) | 21.8626 | − | 12.6224i | 1.96332 | − | 1.13352i | ||||
\(125\) | −3.72311 | + | 10.5422i | −0.333005 | + | 0.942925i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.6271 | + | 11.6271i | −1.03174 | + | 1.03174i | −0.0322583 | + | 0.999480i | \(0.510270\pi\) |
−0.999480 | + | 0.0322583i | \(0.989730\pi\) | |||||||
\(128\) | −12.0141 | − | 3.21916i | −1.06190 | − | 0.284536i | ||||
\(129\) | −2.42131 | − | 8.90831i | −0.213184 | − | 0.784333i | ||||
\(130\) | −0.848439 | + | 1.14728i | −0.0744130 | + | 0.100623i | ||||
\(131\) | −10.9997 | + | 6.35067i | −0.961047 | + | 0.554861i | −0.896495 | − | 0.443054i | \(-0.853895\pi\) |
−0.0645519 | + | 0.997914i | \(0.520562\pi\) | |||||||
\(132\) | 0.0583199 | + | 16.2333i | 0.00507609 | + | 1.41293i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −19.6046 | −1.69358 | ||||||||
\(135\) | −4.75062 | − | 10.6034i | −0.408868 | − | 0.912593i | ||||
\(136\) | 0.198723 | − | 0.344198i | 0.0170403 | − | 0.0295147i | ||||
\(137\) | −7.09583 | + | 1.90132i | −0.606238 | + | 0.162441i | −0.548864 | − | 0.835912i | \(-0.684939\pi\) |
−0.0573740 | + | 0.998353i | \(0.518273\pi\) | |||||||
\(138\) | 23.4732 | − | 13.6650i | 1.99817 | − | 1.16324i | ||||
\(139\) | 12.3138i | 1.04444i | 0.852810 | + | 0.522221i | \(0.174897\pi\) | ||||
−0.852810 | + | 0.522221i | \(0.825103\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.15493 | − | 6.19932i | 0.518339 | − | 0.522077i | ||||
\(142\) | −8.34146 | − | 2.23509i | −0.700000 | − | 0.187564i | ||||
\(143\) | 0.256021 | + | 0.955484i | 0.0214096 | + | 0.0799016i | ||||
\(144\) | 2.77230 | − | 4.88244i | 0.231025 | − | 0.406870i | ||||
\(145\) | −5.82850 | + | 2.53627i | −0.484030 | + | 0.210626i | ||||
\(146\) | − | 26.5932i | − | 2.20087i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.5917 | − | 14.5917i | −1.19943 | − | 1.19943i | ||||
\(149\) | 9.46749 | + | 16.3982i | 0.775607 | + | 1.34339i | 0.934453 | + | 0.356087i | \(0.115889\pi\) |
−0.158846 | + | 0.987303i | \(0.550777\pi\) | |||||||
\(150\) | 0.738627 | + | 18.8974i | 0.0603086 | + | 1.54296i | ||||
\(151\) | 0.952635 | − | 1.65001i | 0.0775243 | − | 0.134276i | −0.824657 | − | 0.565633i | \(-0.808632\pi\) |
0.902181 | + | 0.431357i | \(0.141965\pi\) | |||||||
\(152\) | −2.30897 | + | 8.61719i | −0.187282 | + | 0.698947i | ||||
\(153\) | 0.505822 | + | 0.498604i | 0.0408933 | + | 0.0403098i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.30223 | − | 20.2575i | 0.184920 | − | 1.62712i | ||||
\(156\) | −0.357839 | + | 1.35492i | −0.0286500 | + | 0.108481i | ||||
\(157\) | −1.58024 | − | 5.89752i | −0.126117 | − | 0.470673i | 0.873760 | − | 0.486356i | \(-0.161674\pi\) |
−0.999877 | + | 0.0156832i | \(0.995008\pi\) | |||||||
\(158\) | 6.46862 | + | 24.1412i | 0.514616 | + | 1.92057i | ||||
\(159\) | 2.22224 | − | 8.41431i | 0.176235 | − | 0.667298i | ||||
\(160\) | −13.0246 | + | 10.3663i | −1.02968 | + | 0.819525i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −14.0955 | − | 13.6961i | −1.10745 | − | 1.07607i | ||||
\(163\) | 1.30911 | − | 4.88565i | 0.102537 | − | 0.382674i | −0.895517 | − | 0.445027i | \(-0.853194\pi\) |
0.998054 | + | 0.0623534i | \(0.0198606\pi\) | |||||||
\(164\) | 0.0436034 | − | 0.0755233i | 0.00340485 | − | 0.00589738i | ||||
\(165\) | 10.5690 | + | 7.75740i | 0.822792 | + | 0.603913i | ||||
\(166\) | −5.99219 | − | 10.3788i | −0.465084 | − | 0.805549i | ||||
\(167\) | 6.39241 | + | 6.39241i | 0.494659 | + | 0.494659i | 0.909771 | − | 0.415111i | \(-0.136257\pi\) |
−0.415111 | + | 0.909771i | \(0.636257\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 12.9146i | − | 0.993431i | ||||||
\(170\) | −0.461278 | − | 1.06004i | −0.0353784 | − | 0.0813017i | ||||
\(171\) | −13.8636 | − | 7.87188i | −1.06018 | − | 0.601978i | ||||
\(172\) | 3.81937 | + | 14.2541i | 0.291224 | + | 1.08686i | ||||
\(173\) | 5.31098 | + | 1.42307i | 0.403786 | + | 0.108194i | 0.454995 | − | 0.890494i | \(-0.349641\pi\) |
−0.0512092 | + | 0.998688i | \(0.516308\pi\) | |||||||
\(174\) | −7.57546 | + | 7.63009i | −0.574294 | + | 0.578436i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 6.33528i | 0.477540i | ||||||||
\(177\) | −15.4430 | + | 8.99013i | −1.16076 | + | 0.675739i | ||||
\(178\) | −4.22268 | + | 1.13146i | −0.316503 | + | 0.0848067i | ||||
\(179\) | −7.31611 | + | 12.6719i | −0.546832 | + | 0.947141i | 0.451657 | + | 0.892192i | \(0.350833\pi\) |
−0.998489 | + | 0.0549491i | \(0.982500\pi\) | |||||||
\(180\) | 7.53310 | + | 16.9771i | 0.561484 | + | 1.26539i | ||||
\(181\) | −9.83718 | −0.731192 | −0.365596 | − | 0.930774i | \(-0.619135\pi\) | ||||
−0.365596 | + | 0.930774i | \(0.619135\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.0423526 | + | 11.7888i | 0.00313079 | + | 0.871456i | ||||
\(184\) | −10.4400 | + | 6.02753i | −0.769646 | + | 0.444355i | ||||
\(185\) | −16.4819 | + | 2.46801i | −1.21177 | + | 0.181452i | ||||
\(186\) | −9.04541 | − | 33.2792i | −0.663242 | − | 2.44015i | ||||
\(187\) | −0.774112 | − | 0.207423i | −0.0566087 | − | 0.0151682i | ||||
\(188\) | −9.87442 | + | 9.87442i | −0.720166 | + | 0.720166i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.1595 | + | 20.3035i | 1.17234 | + | 1.47297i | ||||
\(191\) | −5.52426 | + | 3.18943i | −0.399721 | + | 0.230779i | −0.686364 | − | 0.727259i | \(-0.740794\pi\) |
0.286643 | + | 0.958038i | \(0.407461\pi\) | |||||||
\(192\) | −10.7697 | + | 18.8094i | −0.777236 | + | 1.35745i | ||||
\(193\) | −10.3317 | + | 2.76838i | −0.743695 | + | 0.199272i | −0.610720 | − | 0.791847i | \(-0.709120\pi\) |
−0.132975 | + | 0.991119i | \(0.542453\pi\) | |||||||
\(194\) | 3.50149 | + | 6.06477i | 0.251393 | + | 0.435425i | ||||
\(195\) | 0.707971 | + | 0.882995i | 0.0506989 | + | 0.0632326i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.01490 | + | 1.01490i | 0.0723090 | + | 0.0723090i | 0.742336 | − | 0.670027i | \(-0.233718\pi\) |
−0.670027 | + | 0.742336i | \(0.733718\pi\) | |||||||
\(198\) | 21.4614 | + | 5.58561i | 1.52520 | + | 0.396952i | ||||
\(199\) | 8.14100 | + | 4.70021i | 0.577100 | + | 0.333189i | 0.759980 | − | 0.649946i | \(-0.225209\pi\) |
−0.182880 | + | 0.983135i | \(0.558542\pi\) | |||||||
\(200\) | −0.297695 | − | 8.38845i | −0.0210502 | − | 0.593153i | ||||
\(201\) | −3.97052 | + | 15.0340i | −0.280059 | + | 1.06042i | ||||
\(202\) | −13.3357 | + | 13.3357i | −0.938295 | + | 0.938295i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.805705 | − | 0.799937i | −0.0564107 | − | 0.0560068i | ||||
\(205\) | −0.0281018 | − | 0.0645797i | −0.00196272 | − | 0.00451044i | ||||
\(206\) | 2.57914 | + | 1.48907i | 0.179697 | + | 0.103748i | ||||
\(207\) | −5.72510 | − | 20.7683i | −0.397922 | − | 1.44350i | ||||
\(208\) | −0.141549 | + | 0.528269i | −0.00981467 | + | 0.0366288i | ||||
\(209\) | 17.9889 | 1.24432 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.29157 | −0.570815 | −0.285407 | − | 0.958406i | \(-0.592129\pi\) | ||||
−0.285407 | + | 0.958406i | \(0.592129\pi\) | |||||||
\(212\) | −3.60063 | + | 13.4377i | −0.247292 | + | 0.922907i | ||||
\(213\) | −3.40340 | + | 5.94408i | −0.233197 | + | 0.407281i | ||||
\(214\) | 7.91253 | + | 4.56830i | 0.540890 | + | 0.312283i | ||||
\(215\) | 11.0898 | + | 4.36475i | 0.756317 | + | 0.297674i | ||||
\(216\) | 6.23422 | + | 6.10127i | 0.424185 | + | 0.415139i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.35729 | − | 4.35729i | 0.295113 | − | 0.295113i | ||||
\(219\) | −20.3933 | − | 5.38592i | −1.37805 | − | 0.363947i | ||||
\(220\) | −16.8502 | − | 12.4611i | −1.13604 | − | 0.840127i | ||||
\(221\) | −0.0599151 | − | 0.0345920i | −0.00403032 | − | 0.00232691i | ||||
\(222\) | −24.3627 | + | 14.1827i | −1.63512 | + | 0.951884i | ||||
\(223\) | 3.86020 | + | 3.86020i | 0.258498 | + | 0.258498i | 0.824443 | − | 0.565945i | \(-0.191489\pi\) |
−0.565945 | + | 0.824443i | \(0.691489\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.6413 | + | 3.26086i | 0.976085 | + | 0.217391i | ||||
\(226\) | −3.11604 | − | 5.39714i | −0.207276 | − | 0.359012i | ||||
\(227\) | 2.05914 | − | 0.551744i | 0.136670 | − | 0.0366205i | −0.189836 | − | 0.981816i | \(-0.560796\pi\) |
0.326505 | + | 0.945195i | \(0.394129\pi\) | |||||||
\(228\) | 22.1161 | + | 12.6630i | 1.46467 | + | 0.838629i | ||||
\(229\) | 5.42139 | − | 3.13004i | 0.358256 | − | 0.206839i | −0.310060 | − | 0.950717i | \(-0.600349\pi\) |
0.668315 | + | 0.743878i | \(0.267016\pi\) | |||||||
\(230\) | −3.95957 | + | 34.8405i | −0.261086 | + | 2.29732i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.37440 | − | 3.37440i | 0.221541 | − | 0.221541i | ||||
\(233\) | −3.65305 | − | 0.978831i | −0.239319 | − | 0.0641254i | 0.137166 | − | 0.990548i | \(-0.456201\pi\) |
−0.376485 | + | 0.926423i | \(0.622867\pi\) | |||||||
\(234\) | 1.66477 | + | 0.945270i | 0.108829 | + | 0.0617942i | ||||
\(235\) | 1.67014 | + | 11.1536i | 0.108948 | + | 0.727578i | ||||
\(236\) | 24.7376 | − | 14.2823i | 1.61028 | − | 0.929696i | ||||
\(237\) | 19.8231 | − | 0.0712164i | 1.28765 | − | 0.00462600i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.08521 | −0.134881 | −0.0674406 | − | 0.997723i | \(-0.521483\pi\) | ||||
−0.0674406 | + | 0.997723i | \(0.521483\pi\) | |||||||
\(240\) | 2.91605 | + | 6.63600i | 0.188230 | + | 0.428352i | ||||
\(241\) | 2.71843 | − | 4.70846i | 0.175110 | − | 0.303299i | −0.765090 | − | 0.643924i | \(-0.777305\pi\) |
0.940199 | + | 0.340625i | \(0.110639\pi\) | |||||||
\(242\) | −0.967484 | + | 0.259236i | −0.0621922 | + | 0.0166644i | ||||
\(243\) | −13.3578 | + | 8.03546i | −0.856905 | + | 0.515475i | ||||
\(244\) | − | 18.8450i | − | 1.20643i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.0845414 | − | 0.0839361i | −0.00539016 | − | 0.00535157i | ||||
\(247\) | 1.50001 | + | 0.401926i | 0.0954432 | + | 0.0255739i | ||||
\(248\) | 3.96159 | + | 14.7848i | 0.251561 | + | 0.938839i | ||||
\(249\) | −9.17269 | + | 2.49317i | −0.581295 | + | 0.157998i | ||||
\(250\) | −20.1328 | − | 13.8117i | −1.27331 | − | 0.873528i | ||||
\(251\) | − | 23.3428i | − | 1.47339i | −0.676227 | − | 0.736693i | \(-0.736386\pi\) | ||
0.676227 | − | 0.736693i | \(-0.263614\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.1884 | + | 17.1884i | 1.08063 | + | 1.08063i | ||||
\(254\) | −17.9539 | − | 31.0970i | −1.12653 | − | 1.95120i | ||||
\(255\) | −0.906331 | + | 0.139046i | −0.0567567 | + | 0.00870738i | ||||
\(256\) | 1.06686 | − | 1.84786i | 0.0666788 | − | 0.115491i | ||||
\(257\) | −3.99967 | + | 14.9270i | −0.249493 | + | 0.931120i | 0.721579 | + | 0.692332i | \(0.243417\pi\) |
−0.971072 | + | 0.238788i | \(0.923250\pi\) | |||||||
\(258\) | 20.1591 | − | 0.0724236i | 1.25505 | − | 0.00450890i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −1.12664 | − | 1.41556i | −0.0698712 | − | 0.0877890i | ||||
\(261\) | 4.31697 | + | 7.35466i | 0.267214 | + | 0.455242i | ||||
\(262\) | −7.17874 | − | 26.7914i | −0.443504 | − | 1.65518i | ||||
\(263\) | −6.65464 | − | 24.8355i | −0.410343 | − | 1.53142i | −0.793985 | − | 0.607938i | \(-0.791997\pi\) |
0.383642 | − | 0.923482i | \(-0.374670\pi\) | |||||||
\(264\) | −9.51637 | − | 2.51330i | −0.585692 | − | 0.154683i | ||||
\(265\) | 6.99662 | + | 8.79084i | 0.429799 | + | 0.540017i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.0124569 | + | 3.46737i | 0.000762347 | + | 0.212199i | ||||
\(268\) | 6.43333 | − | 24.0095i | 0.392978 | − | 1.46661i | ||||
\(269\) | 14.2562 | − | 24.6925i | 0.869219 | − | 1.50553i | 0.00642235 | − | 0.999979i | \(-0.497956\pi\) |
0.862796 | − | 0.505552i | \(-0.168711\pi\) | |||||||
\(270\) | 25.0511 | − | 4.02768i | 1.52456 | − | 0.245117i | ||||
\(271\) | −1.56107 | − | 2.70385i | −0.0948282 | − | 0.164247i | 0.814709 | − | 0.579870i | \(-0.196897\pi\) |
−0.909537 | + | 0.415623i | \(0.863564\pi\) | |||||||
\(272\) | −0.313312 | − | 0.313312i | −0.0189973 | − | 0.0189973i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 16.0421i | − | 0.969139i | ||||||
\(275\) | −16.1830 | + | 4.95767i | −0.975869 | + | 0.298959i | ||||
\(276\) | 9.03245 | + | 33.2316i | 0.543690 | + | 2.00030i | ||||
\(277\) | 4.48278 | + | 16.7299i | 0.269344 | + | 1.00520i | 0.959538 | + | 0.281580i | \(0.0908586\pi\) |
−0.690194 | + | 0.723625i | \(0.742475\pi\) | |||||||
\(278\) | −25.9739 | − | 6.95970i | −1.55781 | − | 0.417415i | ||||
\(279\) | −27.3526 | + | 0.196536i | −1.63756 | + | 0.0117663i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.7181i | 0.758698i | 0.925254 | + | 0.379349i | \(0.123852\pi\) | ||||
−0.925254 | + | 0.379349i | \(0.876148\pi\) | |||||||
\(282\) | 9.59771 | + | 16.4867i | 0.571535 | + | 0.981766i | ||||
\(283\) | 27.0843 | − | 7.25721i | 1.60999 | − | 0.431396i | 0.661952 | − | 0.749546i | \(-0.269728\pi\) |
0.948041 | + | 0.318150i | \(0.103061\pi\) | |||||||
\(284\) | 5.47456 | − | 9.48222i | 0.324855 | − | 0.562666i | ||||
\(285\) | 18.8428 | − | 8.28006i | 1.11615 | − | 0.490469i | ||||
\(286\) | −2.16014 | −0.127732 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 15.9051 | + | 15.6782i | 0.937219 | + | 0.923847i | ||||
\(289\) | −14.6739 | + | 8.47197i | −0.863170 | + | 0.498351i | ||||
\(290\) | −2.05561 | − | 13.7277i | −0.120709 | − | 0.806121i | ||||
\(291\) | 5.36000 | − | 1.45687i | 0.314209 | − | 0.0854030i | ||||
\(292\) | 32.5683 | + | 8.72664i | 1.90591 | + | 0.510688i | ||||
\(293\) | 6.72836 | − | 6.72836i | 0.393075 | − | 0.393075i | −0.482707 | − | 0.875782i | \(-0.660346\pi\) |
0.875782 | + | 0.482707i | \(0.160346\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.60499 | − | 22.9215i | 0.151668 | − | 1.33454i | ||||
\(296\) | 10.8356 | − | 6.25592i | 0.629805 | − | 0.363618i | ||||
\(297\) | 8.62997 | − | 15.3267i | 0.500762 | − | 0.889345i | ||||
\(298\) | −39.9402 | + | 10.7020i | −2.31368 | + | 0.619948i | ||||
\(299\) | 1.04922 | + | 1.81730i | 0.0606780 | + | 0.105097i | ||||
\(300\) | −23.3857 | − | 5.29665i | −1.35018 | − | 0.305802i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.94201 | + | 2.94201i | 0.169293 | + | 0.169293i | ||||
\(303\) | 7.52575 | + | 12.9275i | 0.432343 | + | 0.742666i | ||||
\(304\) | 8.61324 | + | 4.97285i | 0.494003 | + | 0.285213i | ||||
\(305\) | −12.2368 | − | 9.04939i | −0.700678 | − | 0.518167i | ||||
\(306\) | −1.33761 | + | 0.785139i | −0.0764662 | + | 0.0448834i | ||||
\(307\) | 10.1105 | − | 10.1105i | 0.577034 | − | 0.577034i | −0.357051 | − | 0.934085i | \(-0.616218\pi\) |
0.934085 | + | 0.357051i | \(0.116218\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.66426 | − | 1.67626i | 0.0946765 | − | 0.0953592i | ||||
\(310\) | 41.4287 | + | 16.3056i | 2.35299 | + | 0.926098i | ||||
\(311\) | 0.341348 | + | 0.197078i | 0.0193561 | + | 0.0111752i | 0.509647 | − | 0.860384i | \(-0.329776\pi\) |
−0.490291 | + | 0.871559i | \(0.663109\pi\) | |||||||
\(312\) | −0.737370 | − | 0.422196i | −0.0417454 | − | 0.0239022i | ||||
\(313\) | −3.79970 | + | 14.1807i | −0.214772 | + | 0.801539i | 0.771475 | + | 0.636260i | \(0.219519\pi\) |
−0.986247 | + | 0.165279i | \(0.947147\pi\) | |||||||
\(314\) | 13.3330 | 0.752424 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −31.6881 | −1.78260 | ||||||||
\(317\) | 7.25005 | − | 27.0575i | 0.407203 | − | 1.51970i | −0.392753 | − | 0.919644i | \(-0.628477\pi\) |
0.799956 | − | 0.600059i | \(-0.204856\pi\) | |||||||
\(318\) | 16.4926 | + | 9.44318i | 0.924860 | + | 0.529547i | ||||
\(319\) | −8.33345 | − | 4.81132i | −0.466584 | − | 0.269382i | ||||
\(320\) | −11.1649 | − | 25.6576i | −0.624136 | − | 1.43430i | ||||
\(321\) | 5.10579 | − | 5.14260i | 0.284977 | − | 0.287032i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.889642 | + | 0.889642i | −0.0495010 | + | 0.0495010i | ||||
\(324\) | 21.3990 | − | 12.7682i | 1.18883 | − | 0.709343i | ||||
\(325\) | −1.46019 | + | 0.0518201i | −0.0809967 | + | 0.00287446i | ||||
\(326\) | 9.56559 | + | 5.52269i | 0.529789 | + | 0.305874i | ||||
\(327\) | −2.45896 | − | 4.22392i | −0.135981 | − | 0.233583i | ||||
\(328\) | 0.0373884 | + | 0.0373884i | 0.00206443 | + | 0.00206443i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −22.3365 | + | 17.9090i | −1.22958 | + | 0.985860i | ||||
\(331\) | 12.3674 | + | 21.4210i | 0.679774 | + | 1.17740i | 0.975049 | + | 0.221991i | \(0.0712554\pi\) |
−0.295275 | + | 0.955412i | \(0.595411\pi\) | |||||||
\(332\) | 14.6771 | − | 3.93272i | 0.805510 | − | 0.215836i | ||||
\(333\) | 5.94204 | + | 21.5553i | 0.325622 | + | 1.18122i | ||||
\(334\) | −17.0967 | + | 9.87078i | −0.935490 | + | 0.540105i | ||||
\(335\) | −12.5010 | − | 15.7068i | −0.683004 | − | 0.858154i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.40139 | + | 3.40139i | −0.185286 | + | 0.185286i | −0.793655 | − | 0.608369i | \(-0.791824\pi\) |
0.608369 | + | 0.793655i | \(0.291824\pi\) | |||||||
\(338\) | 27.2413 | + | 7.29927i | 1.48173 | + | 0.397028i | ||||
\(339\) | −4.76996 | + | 1.29649i | −0.259068 | + | 0.0704157i | ||||
\(340\) | 1.44959 | − | 0.217063i | 0.0786152 | − | 0.0117719i | ||||
\(341\) | 26.7292 | − | 15.4321i | 1.44747 | − | 0.835695i | ||||
\(342\) | 24.4401 | − | 24.7938i | 1.32157 | − | 1.34070i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −8.94740 | −0.482411 | ||||||||
\(345\) | 25.9159 | + | 10.0927i | 1.39527 | + | 0.543373i | ||||
\(346\) | −6.00348 | + | 10.3983i | −0.322749 | + | 0.559018i | ||||
\(347\) | 32.8289 | − | 8.79647i | 1.76235 | − | 0.472219i | 0.775157 | − | 0.631769i | \(-0.217671\pi\) |
0.987190 | + | 0.159549i | \(0.0510041\pi\) | |||||||
\(348\) | −6.85855 | − | 11.7814i | −0.367657 | − | 0.631550i | ||||
\(349\) | − | 9.37078i | − | 0.501607i | −0.968038 | − | 0.250803i | \(-0.919305\pi\) | ||
0.968038 | − | 0.250803i | \(-0.0806947\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.06206 | − | 1.08520i | 0.0566884 | − | 0.0579237i | ||||
\(352\) | −24.3413 | − | 6.52223i | −1.29740 | − | 0.347636i | ||||
\(353\) | −5.33985 | − | 19.9286i | −0.284212 | − | 1.06069i | −0.949413 | − | 0.314029i | \(-0.898321\pi\) |
0.665202 | − | 0.746664i | \(-0.268346\pi\) | |||||||
\(354\) | −10.2349 | − | 37.6556i | −0.543980 | − | 2.00137i | ||||
\(355\) | −3.52829 | − | 8.10822i | −0.187262 | − | 0.430339i | ||||
\(356\) | − | 5.54275i | − | 0.293765i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −22.5942 | − | 22.5942i | −1.19414 | − | 1.19414i | ||||
\(359\) | 13.6327 | + | 23.6125i | 0.719506 | + | 1.24622i | 0.961196 | + | 0.275867i | \(0.0889651\pi\) |
−0.241690 | + | 0.970354i | \(0.577702\pi\) | |||||||
\(360\) | −11.1249 | + | 1.74767i | −0.586335 | + | 0.0921105i | ||||
\(361\) | 4.62031 | − | 8.00262i | 0.243174 | − | 0.421190i | ||||
\(362\) | 5.55993 | − | 20.7499i | 0.292223 | − | 1.09059i | ||||
\(363\) | 0.00285407 | + | 0.794430i | 0.000149800 | + | 0.0416968i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 21.3059 | − | 16.9573i | 1.11520 | − | 0.887587i | ||||
\(366\) | −24.8906 | − | 6.57366i | −1.30105 | − | 0.343611i | ||||
\(367\) | 5.82853 | + | 21.7524i | 0.304247 | + | 1.13547i | 0.933592 | + | 0.358339i | \(0.116657\pi\) |
−0.629345 | + | 0.777126i | \(0.716677\pi\) | |||||||
\(368\) | 3.47840 | + | 12.9816i | 0.181324 | + | 0.676710i | ||||
\(369\) | −0.0814896 | + | 0.0478320i | −0.00424218 | + | 0.00249003i | ||||
\(370\) | 4.10960 | − | 36.1607i | 0.213648 | − | 1.87990i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 43.7249 | − | 0.157086i | 2.26703 | − | 0.00814453i | ||||
\(373\) | 8.53877 | − | 31.8671i | 0.442121 | − | 1.65002i | −0.281308 | − | 0.959618i | \(-0.590768\pi\) |
0.723429 | − | 0.690399i | \(-0.242565\pi\) | |||||||
\(374\) | 0.875048 | − | 1.51563i | 0.0452477 | − | 0.0783713i | ||||
\(375\) | −14.6692 | + | 12.6418i | −0.757513 | + | 0.652820i | ||||
\(376\) | −4.23349 | − | 7.33262i | −0.218326 | − | 0.378151i | ||||
\(377\) | −0.587387 | − | 0.587387i | −0.0302520 | − | 0.0302520i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 37.4477i | 1.92356i | 0.273828 | + | 0.961779i | \(0.411710\pi\) | ||||
−0.273828 | + | 0.961779i | \(0.588290\pi\) | |||||||
\(380\) | −30.1682 | + | 13.1277i | −1.54760 | + | 0.673436i | ||||
\(381\) | −27.4833 | + | 7.47007i | −1.40801 | + | 0.382703i | ||||
\(382\) | −3.60530 | − | 13.4552i | −0.184463 | − | 0.688426i | ||||
\(383\) | −6.76787 | − | 1.81345i | −0.345822 | − | 0.0926628i | 0.0817273 | − | 0.996655i | \(-0.473956\pi\) |
−0.427549 | + | 0.903992i | \(0.640623\pi\) | |||||||
\(384\) | −15.2879 | − | 15.1784i | −0.780155 | − | 0.774570i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 23.3578i | − | 1.18888i | ||||||
\(387\) | 4.02729 | − | 15.4739i | 0.204719 | − | 0.786585i | ||||
\(388\) | −8.57646 | + | 2.29806i | −0.435404 | + | 0.116666i | ||||
\(389\) | 4.60139 | − | 7.96985i | 0.233300 | − | 0.404087i | −0.725477 | − | 0.688246i | \(-0.758381\pi\) |
0.958777 | + | 0.284159i | \(0.0917143\pi\) | |||||||
\(390\) | −2.26267 | + | 0.994285i | −0.114575 | + | 0.0503476i | ||||
\(391\) | −1.70011 | −0.0859783 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −21.9992 | + | 0.0790344i | −1.10971 | + | 0.00398676i | ||||
\(394\) | −2.71439 | + | 1.56716i | −0.136749 | + | 0.0789522i | ||||
\(395\) | −15.2167 | + | 20.5764i | −0.765634 | + | 1.03531i | ||||
\(396\) | −13.8833 | + | 24.4506i | −0.697660 | + | 1.22869i | ||||
\(397\) | −29.9490 | − | 8.02482i | −1.50310 | − | 0.402754i | −0.588962 | − | 0.808161i | \(-0.700463\pi\) |
−0.914136 | + | 0.405407i | \(0.867130\pi\) | |||||||
\(398\) | −14.5156 | + | 14.5156i | −0.727600 | + | 0.727600i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.11904 | − | 2.09985i | −0.455952 | − | 0.104993i | ||||
\(401\) | 22.3014 | − | 12.8757i | 1.11368 | − | 0.642982i | 0.173898 | − | 0.984764i | \(-0.444364\pi\) |
0.939779 | + | 0.341782i | \(0.111031\pi\) | |||||||
\(402\) | −29.4677 | − | 16.8723i | −1.46972 | − | 0.841516i | ||||
\(403\) | 2.57362 | − | 0.689599i | 0.128201 | − | 0.0343514i | ||||
\(404\) | −11.9559 | − | 20.7082i | −0.594826 | − | 1.03027i | ||||
\(405\) | 1.98493 | − | 20.0265i | 0.0986319 | − | 0.995124i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −17.8397 | − | 17.8397i | −0.884283 | − | 0.884283i | ||||
\(408\) | 0.594928 | − | 0.346338i | 0.0294533 | − | 0.0171463i | ||||
\(409\) | −9.48266 | − | 5.47482i | −0.468887 | − | 0.270712i | 0.246886 | − | 0.969044i | \(-0.420593\pi\) |
−0.715774 | + | 0.698332i | \(0.753926\pi\) | |||||||
\(410\) | 0.152103 | − | 0.0227761i | 0.00751185 | − | 0.00112483i | ||||
\(411\) | −12.3021 | − | 3.24901i | −0.606817 | − | 0.160262i | ||||
\(412\) | −2.66999 | + | 2.66999i | −0.131541 | + | 0.131541i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 47.0431 | − | 0.338019i | 2.31204 | − | 0.0166127i | ||||
\(415\) | 4.49429 | − | 11.4189i | 0.220616 | − | 0.560532i | ||||
\(416\) | −1.88398 | − | 1.08772i | −0.0923696 | − | 0.0533296i | ||||
\(417\) | −10.5976 | + | 18.5089i | −0.518968 | + | 0.906384i | ||||
\(418\) | −10.1672 | + | 37.9446i | −0.497295 | + | 1.85593i | ||||
\(419\) | 5.86958 | 0.286748 | 0.143374 | − | 0.989669i | \(-0.454205\pi\) | ||||
0.143374 | + | 0.989669i | \(0.454205\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.8842 | 1.31026 | 0.655129 | − | 0.755517i | \(-0.272614\pi\) | ||||
0.655129 | + | 0.755517i | \(0.272614\pi\) | |||||||
\(422\) | 4.68635 | − | 17.4897i | 0.228128 | − | 0.851386i | ||||
\(423\) | 14.5868 | − | 4.02108i | 0.709235 | − | 0.195511i | ||||
\(424\) | −7.30491 | − | 4.21749i | −0.354758 | − | 0.204819i | ||||
\(425\) | 0.555148 | − | 1.04551i | 0.0269286 | − | 0.0507147i | ||||
\(426\) | −10.6145 | − | 10.5385i | −0.514273 | − | 0.510591i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −8.19126 | + | 8.19126i | −0.395940 | + | 0.395940i | ||||
\(429\) | −0.437493 | + | 1.65653i | −0.0211224 | + | 0.0799780i | ||||
\(430\) | −15.4746 | + | 20.9252i | −0.746253 | + | 1.00910i | ||||
\(431\) | −3.62101 | − | 2.09059i | −0.174418 | − | 0.100700i | 0.410250 | − | 0.911973i | \(-0.365442\pi\) |
−0.584667 | + | 0.811273i | \(0.698775\pi\) | |||||||
\(432\) | 8.36903 | − | 4.95288i | 0.402655 | − | 0.238296i | ||||
\(433\) | −2.20877 | − | 2.20877i | −0.106146 | − | 0.106146i | 0.652039 | − | 0.758185i | \(-0.273914\pi\) |
−0.758185 | + | 0.652039i | \(0.773914\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −10.9436 | − | 1.20392i | −0.524706 | − | 0.0577233i | ||||
\(436\) | 3.90645 | + | 6.76617i | 0.187085 | + | 0.324041i | ||||
\(437\) | 36.8608 | − | 9.87683i | 1.76329 | − | 0.472473i | ||||
\(438\) | 22.8869 | − | 39.9722i | 1.09358 | − | 1.90995i | ||||
\(439\) | 23.9048 | − | 13.8014i | 1.14091 | − | 0.658706i | 0.194256 | − | 0.980951i | \(-0.437771\pi\) |
0.946656 | + | 0.322245i | \(0.104437\pi\) | |||||||
\(440\) | 9.94222 | − | 7.91300i | 0.473977 | − | 0.377238i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.106830 | − | 0.106830i | 0.00508138 | − | 0.00508138i | ||||
\(443\) | 16.8076 | + | 4.50359i | 0.798554 | + | 0.213972i | 0.634949 | − | 0.772554i | \(-0.281021\pi\) |
0.163605 | + | 0.986526i | \(0.447688\pi\) | |||||||
\(444\) | −9.37471 | − | 34.4908i | −0.444904 | − | 1.63686i | ||||
\(445\) | −3.59912 | − | 2.66163i | −0.170615 | − | 0.126173i | ||||
\(446\) | −10.3242 | + | 5.96069i | −0.488866 | + | 0.282247i | ||||
\(447\) | 0.117823 | + | 32.7961i | 0.00557285 | + | 1.55120i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 34.1859 | 1.61333 | 0.806666 | − | 0.591008i | \(-0.201270\pi\) | ||||
0.806666 | + | 0.591008i | \(0.201270\pi\) | |||||||
\(450\) | −15.1534 | + | 29.0403i | −0.714339 | + | 1.36897i | ||||
\(451\) | 0.0533094 | − | 0.0923346i | 0.00251024 | − | 0.00434787i | ||||
\(452\) | 7.63234 | − | 2.04508i | 0.358995 | − | 0.0961925i | ||||
\(453\) | 2.85196 | − | 1.66027i | 0.133997 | − | 0.0780062i | ||||
\(454\) | 4.65526i | 0.218482i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −10.8868 | + | 10.9653i | −0.509823 | + | 0.513499i | ||||
\(457\) | 12.7180 | + | 3.40777i | 0.594922 | + | 0.159409i | 0.543702 | − | 0.839278i | \(-0.317022\pi\) |
0.0512204 | + | 0.998687i | \(0.483689\pi\) | |||||||
\(458\) | 3.53817 | + | 13.2046i | 0.165328 | + | 0.617012i | ||||
\(459\) | 0.331187 | + | 1.18478i | 0.0154585 | + | 0.0553007i | ||||
\(460\) | −41.3694 | − | 16.2823i | −1.92886 | − | 0.759165i | ||||
\(461\) | 25.6579i | 1.19501i | 0.801865 | + | 0.597505i | \(0.203841\pi\) | ||||
−0.801865 | + | 0.597505i | \(0.796159\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.2170 | + | 13.2170i | 0.614248 | + | 0.614248i | 0.944050 | − | 0.329802i | \(-0.106982\pi\) |
−0.329802 | + | 0.944050i | \(0.606982\pi\) | |||||||
\(464\) | −2.66009 | − | 4.60741i | −0.123491 | − | 0.213893i | ||||
\(465\) | 20.8947 | − | 28.4677i | 0.968971 | − | 1.32016i | ||||
\(466\) | 4.12937 | − | 7.15228i | 0.191289 | − | 0.331323i | ||||
\(467\) | 7.19823 | − | 26.8642i | 0.333094 | − | 1.24313i | −0.572826 | − | 0.819677i | \(-0.694153\pi\) |
0.905920 | − | 0.423448i | \(-0.139180\pi\) | |||||||
\(468\) | −1.70396 | + | 1.72862i | −0.0787655 | + | 0.0799056i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −24.4706 | − | 2.78104i | −1.12874 | − | 0.128280i | ||||
\(471\) | 2.70033 | − | 10.2246i | 0.124425 | − | 0.471123i | ||||
\(472\) | 4.48255 | + | 16.7291i | 0.206326 | + | 0.770020i | ||||
\(473\) | 4.66955 | + | 17.4270i | 0.214706 | + | 0.801294i | ||||
\(474\) | −11.0537 | + | 41.8538i | −0.507713 | + | 1.92241i | ||||
\(475\) | −5.96248 | + | 25.8933i | −0.273577 | + | 1.18807i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.5819 | − | 10.7350i | 0.484510 | − | 0.491524i | ||||
\(478\) | 1.17855 | − | 4.39841i | 0.0539057 | − | 0.201179i | ||||
\(479\) | −13.4862 | + | 23.3589i | −0.616202 | + | 1.06729i | 0.373970 | + | 0.927441i | \(0.377996\pi\) |
−0.990172 | + | 0.139853i | \(0.955337\pi\) | |||||||
\(480\) | −28.4988 | + | 4.37218i | −1.30079 | + | 0.199562i | ||||
\(481\) | −1.08898 | − | 1.88616i | −0.0496531 | − | 0.0860017i | ||||
\(482\) | 8.39528 | + | 8.39528i | 0.382395 | + | 0.382395i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 1.26993i | − | 0.0577242i | ||||||
\(485\) | −2.62621 | + | 6.67256i | −0.119250 | + | 0.302986i | ||||
\(486\) | −9.39971 | − | 32.7177i | −0.426379 | − | 1.48411i | ||||
\(487\) | −10.4868 | − | 39.1373i | −0.475203 | − | 1.77348i | −0.620621 | − | 0.784111i | \(-0.713119\pi\) |
0.145418 | − | 0.989370i | \(-0.453547\pi\) | |||||||
\(488\) | 11.0368 | + | 2.95729i | 0.499611 | + | 0.133870i | ||||
\(489\) | 6.17247 | − | 6.21698i | 0.279129 | − | 0.281141i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.74522i | 0.123890i | 0.998080 | + | 0.0619450i | \(0.0197303\pi\) | ||||
−0.998080 | + | 0.0619450i | \(0.980270\pi\) | |||||||
\(492\) | 0.130538 | − | 0.0759927i | 0.00588511 | − | 0.00342602i | ||||
\(493\) | 0.650076 | − | 0.174187i | 0.0292779 | − | 0.00784500i | ||||
\(494\) | −1.69559 | + | 2.93685i | −0.0762883 | + | 0.132135i | ||||
\(495\) | 9.20996 | + | 20.7561i | 0.413957 | + | 0.932918i | ||||
\(496\) | 17.0642 | 0.766206 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.0745730 | − | 20.7574i | −0.00334170 | − | 0.930162i | ||||
\(499\) | −26.2537 | + | 15.1576i | −1.17528 | + | 0.678546i | −0.954917 | − | 0.296873i | \(-0.904056\pi\) |
−0.220359 | + | 0.975419i | \(0.570723\pi\) | |||||||
\(500\) | 23.5217 | − | 20.1240i | 1.05192 | − | 0.899974i | ||||
\(501\) | 4.10694 | + | 15.1099i | 0.183484 | + | 0.675063i | ||||
\(502\) | 49.2379 | + | 13.1932i | 2.19759 | + | 0.588843i | ||||
\(503\) | 0.331820 | − | 0.331820i | 0.0147951 | − | 0.0147951i | −0.699671 | − | 0.714466i | \(-0.746670\pi\) |
0.714466 | + | 0.699671i | \(0.246670\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −19.1878 | − | 2.18067i | −0.853848 | − | 0.0970384i | ||||
\(506\) | −45.9710 | + | 26.5414i | −2.04366 | + | 1.17991i | ||||
\(507\) | 11.1147 | − | 19.4120i | 0.493622 | − | 0.862116i | ||||
\(508\) | 43.9757 | − | 11.7833i | 1.95111 | − | 0.522798i | ||||
\(509\) | 7.32457 | + | 12.6865i | 0.324656 | + | 0.562320i | 0.981443 | − | 0.191756i | \(-0.0614182\pi\) |
−0.656787 | + | 0.754076i | \(0.728085\pi\) | |||||||
\(510\) | 0.218960 | − | 1.99035i | 0.00969569 | − | 0.0881340i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −14.2950 | − | 14.2950i | −0.631758 | − | 0.631758i | ||||
\(513\) | −14.0636 | − | 23.7637i | −0.620923 | − | 1.04919i | ||||
\(514\) | −29.2254 | − | 16.8733i | −1.28908 | − | 0.744250i | ||||
\(515\) | 0.451598 | + | 3.01586i | 0.0198998 | + | 0.132895i | ||||
\(516\) | −6.52660 | + | 24.7124i | −0.287317 | + | 1.08790i | ||||
\(517\) | −12.0725 | + | 12.0725i | −0.530946 | + | 0.530946i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.75820 | + | 6.70982i | 0.296652 | + | 0.294528i | ||||
\(520\) | 1.00583 | − | 0.437689i | 0.0441088 | − | 0.0191939i | ||||
\(521\) | 21.3477 | + | 12.3251i | 0.935258 | + | 0.539971i | 0.888471 | − | 0.458934i | \(-0.151768\pi\) |
0.0467872 | + | 0.998905i | \(0.485102\pi\) | |||||||
\(522\) | −17.9534 | + | 4.94912i | −0.785798 | + | 0.216617i | ||||
\(523\) | −8.56752 | + | 31.9744i | −0.374631 | + | 1.39814i | 0.479251 | + | 0.877678i | \(0.340908\pi\) |
−0.853883 | + | 0.520466i | \(0.825758\pi\) | |||||||
\(524\) | 35.1668 | 1.53627 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 56.1475 | 2.44815 | ||||||||
\(527\) | −0.558698 | + | 2.08509i | −0.0243373 | + | 0.0908279i | ||||
\(528\) | −5.45234 | + | 9.52257i | −0.237282 | + | 0.414416i | ||||
\(529\) | 24.7394 | + | 14.2833i | 1.07563 | + | 0.621013i | ||||
\(530\) | −22.4973 | + | 9.78969i | −0.977220 | + | 0.425237i | ||||
\(531\) | −30.9495 | + | 0.222381i | −1.34310 | + | 0.00965053i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.00650825 | − | 0.00650825i | 0.000281904 | − | 0.000281904i | ||||
\(534\) | −7.32088 | − | 1.93346i | −0.316806 | − | 0.0836691i | ||||
\(535\) | 1.38546 | + | 9.25236i | 0.0598985 | + | 0.400015i | ||||
\(536\) | 13.0518 | + | 7.53548i | 0.563754 | + | 0.325483i | ||||
\(537\) | −21.9027 | + | 12.7506i | −0.945170 | + | 0.550231i | ||||
\(538\) | 44.0273 | + | 44.0273i | 1.89815 | + | 1.89815i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −3.28797 | + | 32.0015i | −0.141492 | + | 1.37712i | ||||
\(541\) | 13.6072 | + | 23.5683i | 0.585017 | + | 1.01328i | 0.994873 | + | 0.101129i | \(0.0322456\pi\) |
−0.409856 | + | 0.912150i | \(0.634421\pi\) | |||||||
\(542\) | 6.58564 | − | 1.76462i | 0.282877 | − | 0.0757968i | ||||
\(543\) | −14.7863 | − | 8.46619i | −0.634540 | − | 0.363319i | ||||
\(544\) | 1.52636 | − | 0.881243i | 0.0654421 | − | 0.0377830i | ||||
\(545\) | 6.26942 | + | 0.712509i | 0.268552 | + | 0.0305205i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.63475 | + | 3.63475i | −0.155411 | + | 0.155411i | −0.780530 | − | 0.625119i | \(-0.785051\pi\) |
0.625119 | + | 0.780530i | \(0.285051\pi\) | |||||||
\(548\) | 19.6466 | + | 5.26428i | 0.839259 | + | 0.224879i | ||||
\(549\) | −10.0822 | + | 17.7563i | −0.430297 | + | 0.757820i | ||||
\(550\) | −1.31086 | − | 36.9374i | −0.0558951 | − | 1.57501i | ||||
\(551\) | −13.0826 | + | 7.55326i | −0.557339 | + | 0.321780i | ||||
\(552\) | −20.8798 | + | 0.0750128i | −0.888705 | + | 0.00319276i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −37.8227 | −1.60693 | ||||||||
\(555\) | −26.8980 | − | 10.4751i | −1.14175 | − | 0.444645i | ||||
\(556\) | 17.0469 | − | 29.5261i | 0.722949 | − | 1.25218i | ||||
\(557\) | 8.08347 | − | 2.16596i | 0.342508 | − | 0.0917747i | −0.0834649 | − | 0.996511i | \(-0.526599\pi\) |
0.425973 | + | 0.904736i | \(0.359932\pi\) | |||||||
\(558\) | 15.0450 | − | 57.8068i | 0.636905 | − | 2.44716i | ||||
\(559\) | 1.55749i | 0.0658747i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.985055 | − | 0.978002i | −0.0415890 | − | 0.0412913i | ||||
\(562\) | −26.8267 | − | 7.18820i | −1.13162 | − | 0.303216i | ||||
\(563\) | 5.06094 | + | 18.8877i | 0.213293 | + | 0.796021i | 0.986760 | + | 0.162185i | \(0.0518540\pi\) |
−0.773467 | + | 0.633836i | \(0.781479\pi\) | |||||||
\(564\) | −23.3405 | + | 6.34403i | −0.982812 | + | 0.267132i | ||||
\(565\) | 2.33711 | − | 5.93803i | 0.0983229 | − | 0.249815i | ||||
\(566\) | 61.2316i | 2.57376i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.69425 | + | 4.69425i | 0.196966 | + | 0.196966i | ||||
\(569\) | −3.41116 | − | 5.90830i | −0.143003 | − | 0.247689i | 0.785623 | − | 0.618706i | \(-0.212343\pi\) |
−0.928626 | + | 0.371017i | \(0.879009\pi\) | |||||||
\(570\) | 6.81560 | + | 44.4256i | 0.285474 | + | 1.86078i | ||||
\(571\) | −9.87726 | + | 17.1079i | −0.413351 | + | 0.715944i | −0.995254 | − | 0.0973138i | \(-0.968975\pi\) |
0.581903 | + | 0.813258i | \(0.302308\pi\) | |||||||
\(572\) | 0.708857 | − | 2.64549i | 0.0296388 | − | 0.110614i | ||||
\(573\) | −11.0484 | + | 0.0396926i | −0.461555 | + | 0.00165818i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −30.4383 | + | 19.0440i | −1.26937 | + | 0.794189i | ||||
\(576\) | −32.3759 | + | 19.0037i | −1.34900 | + | 0.791821i | ||||
\(577\) | 0.405290 | + | 1.51256i | 0.0168725 | + | 0.0629689i | 0.973849 | − | 0.227197i | \(-0.0729562\pi\) |
−0.956976 | + | 0.290166i | \(0.906289\pi\) | |||||||
\(578\) | −9.57664 | − | 35.7405i | −0.398336 | − | 1.48661i | ||||
\(579\) | −17.9122 | − | 4.73066i | −0.744406 | − | 0.196599i | ||||
\(580\) | 17.4867 | + | 1.98734i | 0.726097 | + | 0.0825197i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0.0435762 | + | 12.1295i | 0.00180629 | + | 0.502782i | ||||
\(583\) | −4.40212 | + | 16.4290i | −0.182317 | + | 0.680418i | ||||
\(584\) | −10.2217 | + | 17.7045i | −0.422977 | + | 0.732617i | ||||
\(585\) | 0.304220 | + | 1.93653i | 0.0125779 | + | 0.0800658i | ||||
\(586\) | 10.3895 | + | 17.9952i | 0.429188 | + | 0.743375i | ||||
\(587\) | −7.76708 | − | 7.76708i | −0.320582 | − | 0.320582i | 0.528408 | − | 0.848990i | \(-0.322789\pi\) |
−0.848990 | + | 0.528408i | \(0.822789\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 48.4535i | − | 1.99649i | ||||||
\(590\) | 46.8768 | + | 18.4499i | 1.92989 | + | 0.759570i | ||||
\(591\) | 0.652046 | + | 2.39896i | 0.0268216 | + | 0.0986801i | ||||
\(592\) | −3.61020 | − | 13.4734i | −0.148378 | − | 0.553755i | ||||
\(593\) | −10.9460 | − | 2.93296i | −0.449497 | − | 0.120442i | 0.0269670 | − | 0.999636i | \(-0.491415\pi\) |
−0.476464 | + | 0.879194i | \(0.658082\pi\) | |||||||
\(594\) | 27.4515 | + | 26.8661i | 1.12635 | + | 1.10233i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 52.4261i | − | 2.14746i | ||||||
\(597\) | 8.19160 | + | 14.0713i | 0.335260 | + | 0.575899i | ||||
\(598\) | −4.42632 | + | 1.18603i | −0.181006 | + | 0.0485003i | ||||
\(599\) | −10.1871 | + | 17.6446i | −0.416233 | + | 0.720938i | −0.995557 | − | 0.0941601i | \(-0.969983\pi\) |
0.579324 | + | 0.815098i | \(0.303317\pi\) | |||||||
\(600\) | 6.77189 | − | 12.8649i | 0.276461 | − | 0.525207i | ||||
\(601\) | −32.4833 | −1.32502 | −0.662511 | − | 0.749052i | \(-0.730509\pi\) | ||||
−0.662511 | + | 0.749052i | \(0.730509\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −18.9069 | + | 19.1805i | −0.769947 | + | 0.781092i | ||||
\(604\) | −4.56846 | + | 2.63760i | −0.185888 | + | 0.107323i | ||||
\(605\) | −0.824618 | − | 0.609823i | −0.0335255 | − | 0.0247928i | ||||
\(606\) | −31.5220 | + | 8.56778i | −1.28049 | + | 0.348042i | ||||
\(607\) | 0.0958413 | + | 0.0256806i | 0.00389008 | + | 0.00104234i | 0.260764 | − | 0.965403i | \(-0.416026\pi\) |
−0.256873 | + | 0.966445i | \(0.582692\pi\) | |||||||
\(608\) | −27.9740 | + | 27.9740i | −1.13450 | + | 1.13450i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 26.0044 | − | 20.6969i | 1.05289 | − | 0.837992i | ||||
\(611\) | −1.27640 | + | 0.736930i | −0.0516376 | + | 0.0298130i | ||||
\(612\) | −0.522607 | − | 1.89580i | −0.0211251 | − | 0.0766332i | ||||
\(613\) | 36.4510 | − | 9.76701i | 1.47224 | − | 0.394486i | 0.568542 | − | 0.822654i | \(-0.307508\pi\) |
0.903699 | + | 0.428169i | \(0.140841\pi\) | |||||||
\(614\) | 15.6120 | + | 27.0407i | 0.630048 | + | 1.09128i | ||||
\(615\) | 0.0133394 | − | 0.121255i | 0.000537896 | − | 0.00488948i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.37294 | − | 6.37294i | −0.256565 | − | 0.256565i | 0.567090 | − | 0.823656i | \(-0.308069\pi\) |
−0.823656 | + | 0.567090i | \(0.808069\pi\) | |||||||
\(618\) | 2.59517 | + | 4.45790i | 0.104393 | + | 0.179323i | ||||
\(619\) | −15.3872 | − | 8.88379i | −0.618463 | − | 0.357070i | 0.157808 | − | 0.987470i | \(-0.449557\pi\) |
−0.776270 | + | 0.630400i | \(0.782891\pi\) | |||||||
\(620\) | −33.5643 | + | 45.3864i | −1.34797 | + | 1.82276i | ||||
\(621\) | 9.26844 | − | 36.1441i | 0.371930 | − | 1.45041i | ||||
\(622\) | −0.608631 | + | 0.608631i | −0.0244039 | + | 0.0244039i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.667407 | + | 0.672220i | −0.0267177 | + | 0.0269103i | ||||
\(625\) | −1.77220 | − | 24.9371i | −0.0708880 | − | 0.997484i | ||||
\(626\) | −27.7642 | − | 16.0297i | −1.10968 | − | 0.640675i | ||||
\(627\) | 27.0391 | + | 15.4818i | 1.07984 | + | 0.618283i | ||||
\(628\) | −4.37527 | + | 16.3287i | −0.174592 | + | 0.651587i | ||||
\(629\) | 1.76453 | 0.0703565 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.8248 | 0.709592 | 0.354796 | − | 0.934944i | \(-0.384550\pi\) | ||||
0.354796 | + | 0.934944i | \(0.384550\pi\) | |||||||
\(632\) | 4.97273 | − | 18.5585i | 0.197804 | − | 0.738216i | ||||
\(633\) | −12.4631 | − | 7.13598i | −0.495362 | − | 0.283630i | ||||
\(634\) | 52.9758 | + | 30.5856i | 2.10394 | + | 1.21471i | ||||
\(635\) | 13.4659 | − | 34.2135i | 0.534376 | − | 1.35772i | ||||
\(636\) | −16.9770 | + | 17.0995i | −0.673183 | + | 0.678038i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 14.8587 | − | 14.8587i | 0.588262 | − | 0.588262i | ||||
\(639\) | −10.2313 | + | 6.00548i | −0.404745 | + | 0.237573i | ||||
\(640\) | 27.5053 | − | 4.11867i | 1.08724 | − | 0.162805i | ||||
\(641\) | −12.8405 | − | 7.41348i | −0.507170 | − | 0.292815i | 0.224499 | − | 0.974474i | \(-0.427925\pi\) |
−0.731670 | + | 0.681659i | \(0.761259\pi\) | |||||||
\(642\) | 7.96172 | + | 13.6764i | 0.314224 | + | 0.539764i | ||||
\(643\) | −32.7229 | − | 32.7229i | −1.29047 | − | 1.29047i | −0.934498 | − | 0.355968i | \(-0.884151\pi\) |
−0.355968 | − | 0.934498i | \(-0.615849\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.9126 | + | 16.1049i | 0.508435 | + | 0.634129i | ||||
\(646\) | −1.37373 | − | 2.37937i | −0.0540488 | − | 0.0936152i | ||||
\(647\) | −36.9597 | + | 9.90332i | −1.45304 | + | 0.389340i | −0.897078 | − | 0.441871i | \(-0.854315\pi\) |
−0.555957 | + | 0.831211i | \(0.687648\pi\) | |||||||
\(648\) | 4.11973 | + | 14.5362i | 0.161838 | + | 0.571036i | ||||
\(649\) | 30.2442 | − | 17.4615i | 1.18719 | − | 0.685423i | ||||
\(650\) | 0.715985 | − | 3.10932i | 0.0280833 | − | 0.121958i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.90255 | + | 9.90255i | −0.387814 | + | 0.387814i | ||||
\(653\) | −5.53128 | − | 1.48210i | −0.216456 | − | 0.0579992i | 0.148961 | − | 0.988843i | \(-0.452407\pi\) |
−0.365417 | + | 0.930844i | \(0.619074\pi\) | |||||||
\(654\) | 10.2995 | − | 2.79943i | 0.402741 | − | 0.109466i | ||||
\(655\) | 16.8871 | − | 22.8352i | 0.659835 | − | 0.892244i | ||||
\(656\) | 0.0510501 | − | 0.0294738i | 0.00199317 | − | 0.00115076i | ||||
\(657\) | −26.0179 | − | 25.6467i | −1.01506 | − | 1.00057i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −11.5870 | −0.451366 | −0.225683 | − | 0.974201i | \(-0.572461\pi\) | ||||
−0.225683 | + | 0.974201i | \(0.572461\pi\) | |||||||
\(660\) | −14.6032 | − | 33.2321i | −0.568427 | − | 1.29356i | ||||
\(661\) | 7.57751 | − | 13.1246i | 0.294731 | − | 0.510489i | −0.680191 | − | 0.733035i | \(-0.738103\pi\) |
0.974922 | + | 0.222546i | \(0.0714366\pi\) | |||||||
\(662\) | −52.1740 | + | 13.9800i | −2.02780 | + | 0.543348i | ||||
\(663\) | −0.0602875 | − | 0.103560i | −0.00234137 | − | 0.00402194i | ||||
\(664\) | 9.21294i | 0.357531i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −48.8257 | + | 0.350827i | −1.89196 | + | 0.0135943i | ||||
\(667\) | −19.7177 | − | 5.28333i | −0.763471 | − | 0.204571i | ||||
\(668\) | −6.47827 | − | 24.1772i | −0.250652 | − | 0.935445i | ||||
\(669\) | 2.48006 | + | 9.12447i | 0.0958848 | + | 0.352773i | ||||
\(670\) | 40.1964 | − | 17.4915i | 1.55292 | − | 0.675754i | ||||
\(671\) | − | 23.0399i | − | 0.889445i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.7667 | − | 13.7667i | −0.530666 | − | 0.530666i | 0.390105 | − | 0.920770i | \(-0.372439\pi\) |
−0.920770 | + | 0.390105i | \(0.872439\pi\) | |||||||
\(674\) | −5.25223 | − | 9.09714i | −0.202309 | − | 0.350409i | ||||
\(675\) | 19.2009 | + | 17.5021i | 0.739044 | + | 0.673658i | ||||
\(676\) | −17.8786 | + | 30.9667i | −0.687640 | + | 1.19103i | ||||
\(677\) | −5.98795 | + | 22.3473i | −0.230136 | + | 0.858878i | 0.750146 | + | 0.661272i | \(0.229983\pi\) |
−0.980282 | + | 0.197606i | \(0.936683\pi\) | |||||||
\(678\) | −0.0387793 | − | 10.7942i | −0.00148931 | − | 0.414549i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.100355 | + | 0.883031i | −0.00384844 | + | 0.0338627i | ||||
\(681\) | 3.56994 | + | 0.942830i | 0.136800 | + | 0.0361293i | ||||
\(682\) | 17.4443 | + | 65.1030i | 0.667977 | + | 2.49292i | ||||
\(683\) | −2.14353 | − | 7.99975i | −0.0820197 | − | 0.306102i | 0.912713 | − | 0.408600i | \(-0.133983\pi\) |
−0.994733 | + | 0.102498i | \(0.967316\pi\) | |||||||
\(684\) | 22.3446 | + | 38.0676i | 0.854366 | + | 1.45555i | ||||
\(685\) | 12.8526 | − | 10.2294i | 0.491072 | − | 0.390844i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.8427 | − | 0.0389535i | 0.413676 | − | 0.00148617i | ||||
\(688\) | −2.58171 | + | 9.63506i | −0.0984266 | + | 0.367333i | ||||
\(689\) | −0.734144 | + | 1.27158i | −0.0279687 | + | 0.0484432i | ||||
\(690\) | −35.9365 | + | 48.9611i | −1.36808 | + | 1.86392i | ||||
\(691\) | −12.9547 | − | 22.4382i | −0.492821 | − | 0.853591i | 0.507145 | − | 0.861861i | \(-0.330701\pi\) |
−0.999966 | + | 0.00826988i | \(0.997368\pi\) | |||||||
\(692\) | −10.7646 | − | 10.7646i | −0.409210 | − | 0.409210i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 74.2189i | 2.81731i | ||||||||
\(695\) | −10.9865 | − | 25.2477i | −0.416742 | − | 0.957699i | ||||
\(696\) | 7.97619 | − | 2.16796i | 0.302337 | − | 0.0821762i | ||||
\(697\) | 0.00192999 | + | 0.00720284i | 7.31038e−5 | + | 0.000272827i | ||||
\(698\) | 19.7661 | + | 5.29632i | 0.748159 | + | 0.200469i | ||||
\(699\) | −4.64849 | − | 4.61521i | −0.175822 | − | 0.174563i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 37.9089i | 1.43180i | 0.698204 | + | 0.715899i | \(0.253983\pi\) | ||||
−0.698204 | + | 0.715899i | \(0.746017\pi\) | |||||||
\(702\) | 1.68878 | + | 2.85359i | 0.0637390 | + | 0.107702i | ||||
\(703\) | −38.2576 | + | 10.2511i | −1.44291 | + | 0.386627i | ||||
\(704\) | 21.1799 | − | 36.6846i | 0.798247 | − | 1.38260i | ||||
\(705\) | −7.08870 | + | 18.2023i | −0.266976 | + | 0.685539i | ||||
\(706\) | 45.0542 | 1.69564 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 49.4749 | − | 0.177743i | 1.85938 | − | 0.00668001i | ||||
\(709\) | 14.4489 | − | 8.34207i | 0.542639 | − | 0.313293i | −0.203509 | − | 0.979073i | \(-0.565234\pi\) |
0.746148 | + | 0.665780i | \(0.231901\pi\) | |||||||
\(710\) | 19.0971 | − | 2.85962i | 0.716702 | − | 0.107320i | ||||
\(711\) | 29.8574 | + | 16.9533i | 1.11974 | + | 0.635799i | ||||
\(712\) | 3.24617 | + | 0.869807i | 0.121655 | + | 0.0325974i | ||||
\(713\) | 46.2975 | − | 46.2975i | 1.73385 | − | 1.73385i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.37743 | − | 1.73066i | −0.0515129 | − | 0.0647229i | ||||
\(716\) | 35.0852 | − | 20.2565i | 1.31120 | − | 0.757019i | ||||
\(717\) | −3.13428 | − | 1.79460i | −0.117052 | − | 0.0670205i | ||||
\(718\) | −57.5119 | + | 15.4103i | −2.14632 | + | 0.575106i | ||||
\(719\) | 6.53547 | + | 11.3198i | 0.243732 | + | 0.422156i | 0.961774 | − | 0.273843i | \(-0.0882949\pi\) |
−0.718042 | + | 0.695999i | \(0.754962\pi\) | |||||||
\(720\) | −1.32802 | + | 12.4842i | −0.0494925 | + | 0.465259i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 14.2688 | + | 14.2688i | 0.531031 | + | 0.531031i | ||||
\(723\) | 8.13832 | − | 4.73773i | 0.302668 | − | 0.176198i | ||||
\(724\) | 23.5876 | + | 13.6183i | 0.876628 | + | 0.506121i | ||||
\(725\) | 9.68760 | − | 10.4005i | 0.359789 | − | 0.386265i | ||||
\(726\) | −1.67733 | − | 0.442988i | −0.0622517 | − | 0.0164408i | ||||
\(727\) | 19.4878 | − | 19.4878i | 0.722761 | − | 0.722761i | −0.246406 | − | 0.969167i | \(-0.579250\pi\) |
0.969167 | + | 0.246406i | \(0.0792495\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.9937 | + | 0.581953i | −0.999768 | + | 0.0215538i | ||||
\(730\) | 23.7267 | + | 54.5255i | 0.878166 | + | 2.01808i | ||||
\(731\) | −1.09279 | − | 0.630921i | −0.0404182 | − | 0.0233354i | ||||
\(732\) | 16.2186 | − | 28.3260i | 0.599457 | − | 1.04696i | ||||
\(733\) | 8.99045 | − | 33.5528i | 0.332070 | − | 1.23930i | −0.574941 | − | 0.818195i | \(-0.694975\pi\) |
0.907011 | − | 0.421107i | \(-0.138358\pi\) | |||||||
\(734\) | −49.1774 | −1.81517 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −53.4585 | −1.97051 | ||||||||
\(737\) | 7.86538 | − | 29.3540i | 0.289725 | − | 1.08127i | ||||
\(738\) | −0.0548363 | − | 0.198923i | −0.00201855 | − | 0.00732247i | ||||
\(739\) | −21.9906 | − | 12.6963i | −0.808937 | − | 0.467040i | 0.0376499 | − | 0.999291i | \(-0.488013\pi\) |
−0.846586 | + | 0.532251i | \(0.821346\pi\) | |||||||
\(740\) | 42.9369 | + | 16.8992i | 1.57839 | + | 0.621228i | ||||
\(741\) | 1.90875 | + | 1.89509i | 0.0701198 | + | 0.0696178i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.4447 | − | 14.4447i | 0.529923 | − | 0.529923i | −0.390626 | − | 0.920549i | \(-0.627742\pi\) |
0.920549 | + | 0.390626i | \(0.127742\pi\) | |||||||
\(744\) | −6.76963 | + | 25.6326i | −0.248187 | + | 0.939736i | ||||
\(745\) | −34.0424 | − | 25.1751i | −1.24722 | − | 0.922344i | ||||
\(746\) | 62.3924 | + | 36.0223i | 2.28435 | + | 1.31887i | ||||
\(747\) | −15.9332 | − | 4.14681i | −0.582964 | − | 0.151724i | ||||
\(748\) | 1.56902 | + | 1.56902i | 0.0573690 | + | 0.0573690i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −18.3749 | − | 38.0873i | −0.670956 | − | 1.39075i | ||||
\(751\) | −13.7179 | − | 23.7601i | −0.500573 | − | 0.867018i | −1.00000 | 0.000662052i | \(-0.999789\pi\) | |
0.499427 | − | 0.866356i | \(-0.333544\pi\) | |||||||
\(752\) | −9.11771 | + | 2.44308i | −0.332489 | + | 0.0890901i | ||||
\(753\) | 20.0896 | − | 35.0866i | 0.732104 | − | 1.27863i | ||||
\(754\) | 1.57099 | − | 0.907009i | 0.0572119 | − | 0.0330313i | ||||
\(755\) | −0.481081 | + | 4.23306i | −0.0175083 | + | 0.154057i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.9760 | + | 11.9760i | −0.435274 | + | 0.435274i | −0.890418 | − | 0.455144i | \(-0.849588\pi\) |
0.455144 | + | 0.890418i | \(0.349588\pi\) | |||||||
\(758\) | −78.9897 | − | 21.1652i | −2.86904 | − | 0.768756i | ||||
\(759\) | 11.0431 | + | 40.6289i | 0.400838 | + | 1.47473i | ||||
\(760\) | −2.95415 | − | 19.7284i | −0.107158 | − | 0.715624i | ||||
\(761\) | −35.6486 | + | 20.5817i | −1.29226 | + | 0.746087i | −0.979055 | − | 0.203598i | \(-0.934737\pi\) |
−0.313207 | + | 0.949685i | \(0.601403\pi\) | |||||||
\(762\) | −0.223437 | − | 62.1937i | −0.00809426 | − | 2.25304i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 17.6614 | 0.638969 | ||||||||
\(765\) | −1.48197 | − | 0.571017i | −0.0535809 | − | 0.0206452i | ||||
\(766\) | 7.65034 | − | 13.2508i | 0.276418 | − | 0.478770i | ||||
\(767\) | 2.91206 | − | 0.780284i | 0.105148 | − | 0.0281744i | ||||
\(768\) | 3.19392 | − | 1.85934i | 0.115251 | − | 0.0670933i | ||||
\(769\) | − | 3.96520i | − | 0.142989i | −0.997441 | − | 0.0714944i | \(-0.977223\pi\) | ||
0.997441 | − | 0.0714944i | \(-0.0227768\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18.8585 | + | 18.9945i | −0.679174 | + | 0.684071i | ||||
\(772\) | 28.6060 | + | 7.66494i | 1.02955 | + | 0.275867i | ||||
\(773\) | 2.19594 | + | 8.19538i | 0.0789826 | + | 0.294767i | 0.994107 | − | 0.108405i | \(-0.0345743\pi\) |
−0.915124 | + | 0.403172i | \(0.867908\pi\) | |||||||
\(774\) | 30.3635 | + | 17.2407i | 1.09140 | + | 0.619705i | ||||
\(775\) | 13.3536 | + | 43.5892i | 0.479675 | + | 1.56577i | ||||
\(776\) | − | 5.38352i | − | 0.193257i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.2104 | + | 14.2104i | 0.509468 | + | 0.509468i | ||||
\(779\) | −0.0836901 | − | 0.144956i | −0.00299851 | − | 0.00519357i | ||||
\(780\) | −0.475182 | − | 3.09734i | −0.0170143 | − | 0.110903i | ||||
\(781\) | 6.69319 | − | 11.5929i | 0.239501 | − | 0.414828i | ||||
\(782\) | 0.960894 | − | 3.58611i | 0.0343615 | − | 0.128239i | ||||
\(783\) | 0.159195 | + | 14.7701i | 0.00568916 | + | 0.527841i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 8.50188 | + | 10.6821i | 0.303445 | + | 0.381261i | ||||
\(786\) | 12.2671 | − | 46.4485i | 0.437555 | − | 1.65676i | ||||
\(787\) | 5.78714 | + | 21.5979i | 0.206289 | + | 0.769882i | 0.989053 | + | 0.147563i | \(0.0471428\pi\) |
−0.782763 | + | 0.622319i | \(0.786191\pi\) | |||||||
\(788\) | −1.02854 | − | 3.83855i | −0.0366401 | − | 0.136743i | ||||
\(789\) | 11.3716 | − | 43.0574i | 0.404838 | − | 1.53288i | ||||
\(790\) | −34.8021 | − | 43.7267i | −1.23820 | − | 1.55573i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −12.1411 | − | 11.9678i | −0.431414 | − | 0.425258i | ||||
\(793\) | 0.514780 | − | 1.92119i | 0.0182804 | − | 0.0682233i | ||||
\(794\) | 33.8541 | − | 58.6370i | 1.20144 | − | 2.08095i | ||||
\(795\) | 2.95096 | + | 19.2350i | 0.104660 | + | 0.682196i | ||||
\(796\) | −13.0137 | − | 22.5403i | −0.461258 | − | 0.798921i | ||||
\(797\) | −8.46554 | − | 8.46554i | −0.299865 | − | 0.299865i | 0.541096 | − | 0.840961i | \(-0.318010\pi\) |
−0.840961 | + | 0.541096i | \(0.818010\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 1.19409i | − | 0.0422438i | ||||||
\(800\) | 17.4562 | − | 32.8752i | 0.617168 | − | 1.16231i | ||||
\(801\) | −2.96540 | + | 5.22252i | −0.104777 | + | 0.184529i | ||||
\(802\) | 14.5546 | + | 54.3184i | 0.513939 | + | 1.91805i | ||||
\(803\) | 39.8179 | + | 10.6692i | 1.40514 | + | 0.376507i | ||||
\(804\) | 30.3333 | − | 30.5520i | 1.06977 | − | 1.07749i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.81839i | 0.204944i | ||||||||
\(807\) | 42.6798 | − | 24.8460i | 1.50240 | − | 0.874622i | ||||
\(808\) | 14.0041 | − | 3.75240i | 0.492664 | − | 0.132009i | ||||
\(809\) | 12.7675 | − | 22.1140i | 0.448882 | − | 0.777487i | −0.549431 | − | 0.835539i | \(-0.685156\pi\) |
0.998314 | + | 0.0580521i | \(0.0184889\pi\) | |||||||
\(810\) | 41.1207 | + | 15.5057i | 1.44483 | + | 0.544817i | ||||
\(811\) | −1.94760 | −0.0683895 | −0.0341947 | − | 0.999415i | \(-0.510887\pi\) | ||||
−0.0341947 | + | 0.999415i | \(0.510887\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.0194276 | − | 5.40767i | −0.000681355 | − | 0.189655i | ||||
\(814\) | 47.7129 | − | 27.5471i | 1.67234 | − | 0.965525i | ||||
\(815\) | 1.67490 | + | 11.1853i | 0.0586692 | + | 0.391805i | ||||
\(816\) | −0.201294 | − | 0.740585i | −0.00704668 | − | 0.0259257i | ||||
\(817\) | 27.3585 | + | 7.33070i | 0.957154 | + | 0.256469i | ||||
\(818\) | 16.9078 | − | 16.9078i | 0.591167 | − | 0.591167i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0220197 | + | 0.193753i | −0.000768962 | + | 0.00676615i | ||||
\(821\) | −18.7704 | + | 10.8371i | −0.655091 | + | 0.378217i | −0.790404 | − | 0.612586i | \(-0.790129\pi\) |
0.135313 | + | 0.990803i | \(0.456796\pi\) | |||||||
\(822\) | 13.8063 | − | 24.1129i | 0.481551 | − | 0.841035i | ||||
\(823\) | −11.4091 | + | 3.05707i | −0.397697 | + | 0.106563i | −0.452124 | − | 0.891955i | \(-0.649334\pi\) |
0.0544266 | + | 0.998518i | \(0.482667\pi\) | |||||||
\(824\) | −1.14471 | − | 1.98270i | −0.0398780 | − | 0.0690707i | ||||
\(825\) | −28.5914 | − | 6.47568i | −0.995423 | − | 0.225454i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 14.1747 | + | 14.1747i | 0.492902 | + | 0.492902i | 0.909219 | − | 0.416318i | \(-0.136680\pi\) |
−0.416318 | + | 0.909219i | \(0.636680\pi\) | |||||||
\(828\) | −15.0234 | + | 57.7240i | −0.522100 | + | 2.00605i | ||||
\(829\) | −16.7867 | − | 9.69179i | −0.583025 | − | 0.336610i | 0.179310 | − | 0.983793i | \(-0.442614\pi\) |
−0.762335 | + | 0.647183i | \(0.775947\pi\) | |||||||
\(830\) | 21.5462 | + | 15.9339i | 0.747879 | + | 0.553073i | ||||
\(831\) | −7.66024 | + | 29.0048i | −0.265731 | + | 1.00617i | ||||
\(832\) | 2.58573 | − | 2.58573i | 0.0896442 | − | 0.0896442i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −33.0517 | − | 32.8151i | −1.14449 | − | 1.13629i | ||||
\(835\) | −18.8101 | − | 7.40333i | −0.650950 | − | 0.256203i | ||||
\(836\) | −43.1338 | − | 24.9033i | −1.49181 | − | 0.861299i | ||||
\(837\) | −41.2828 | − | 23.2451i | −1.42694 | − | 0.803467i | ||||
\(838\) | −3.31746 | + | 12.3809i | −0.114600 | + | 0.427692i | ||||
\(839\) | −26.2528 | −0.906346 | −0.453173 | − | 0.891423i | \(-0.649708\pi\) | ||||
−0.453173 | + | 0.891423i | \(0.649708\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.9192 | −0.721352 | ||||||||
\(842\) | −15.1948 | + | 56.7079i | −0.523649 | + | 1.95428i | ||||
\(843\) | −10.9456 | + | 19.1166i | −0.376986 | + | 0.658410i | ||||
\(844\) | 19.8816 | + | 11.4786i | 0.684351 | + | 0.395110i | ||||
\(845\) | 11.5226 | + | 26.4795i | 0.396388 | + | 0.910924i | ||||
\(846\) | 0.237410 | + | 33.0412i | 0.00816234 | + | 1.13598i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −6.64940 | + | 6.64940i | −0.228341 | + | 0.228341i | ||||
\(849\) | 46.9562 | + | 12.4012i | 1.61153 | + | 0.425610i | ||||
\(850\) | 1.89157 | + | 1.76191i | 0.0648803 | + | 0.0604331i | ||||
\(851\) | −46.3502 | − | 26.7603i | −1.58886 | − | 0.917330i | ||||
\(852\) | 16.3895 | − | 9.54116i | 0.561495 | − | 0.326875i | ||||
\(853\) | 29.8920 | + | 29.8920i | 1.02348 | + | 1.02348i | 0.999718 | + | 0.0237636i | \(0.00756489\pi\) |
0.0237636 | + | 0.999718i | \(0.492435\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 35.4487 | + | 3.77090i | 1.21232 | + | 0.128962i | ||||
\(856\) | −3.51186 | − | 6.08273i | −0.120033 | − | 0.207903i | ||||
\(857\) | 8.09189 | − | 2.16821i | 0.276414 | − | 0.0740648i | −0.117949 | − | 0.993020i | \(-0.537632\pi\) |
0.394363 | + | 0.918955i | \(0.370965\pi\) | |||||||
\(858\) | −3.24691 | − | 1.85908i | −0.110848 | − | 0.0634680i | ||||
\(859\) | −8.97377 | + | 5.18101i | −0.306181 | + | 0.176774i | −0.645216 | − | 0.764000i | \(-0.723233\pi\) |
0.339035 | + | 0.940774i | \(0.389899\pi\) | |||||||
\(860\) | −20.5487 | − | 25.8182i | −0.700705 | − | 0.880394i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.45633 | − | 6.45633i | 0.219904 | − | 0.219904i | ||||
\(863\) | −18.1433 | − | 4.86148i | −0.617605 | − | 0.165487i | −0.0635660 | − | 0.997978i | \(-0.520247\pi\) |
−0.554039 | + | 0.832491i | \(0.686914\pi\) | |||||||
\(864\) | 10.4139 | + | 37.2544i | 0.354288 | + | 1.26742i | ||||
\(865\) | −12.1591 | + | 1.82071i | −0.413421 | + | 0.0619061i | ||||
\(866\) | 5.90741 | − | 3.41065i | 0.200742 | − | 0.115898i | ||||
\(867\) | −29.3476 | + | 0.105434i | −0.996696 | + | 0.00358073i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −38.7419 | −1.31423 | ||||||||
\(870\) | 8.72474 | − | 22.4033i | 0.295796 | − | 0.759543i | ||||
\(871\) | 1.31171 | − | 2.27195i | 0.0444457 | − | 0.0769822i | ||||
\(872\) | −4.57570 | + | 1.22606i | −0.154953 | + | 0.0415195i | ||||
\(873\) | 9.31045 | + | 2.42316i | 0.315111 | + | 0.0820116i | ||||
\(874\) | 83.3342i | 2.81882i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 41.4430 | + | 41.1463i | 1.40023 | + | 1.39020i | ||||
\(877\) | −6.61425 | − | 1.77228i | −0.223347 | − | 0.0598457i | 0.145410 | − | 0.989372i | \(-0.453550\pi\) |
−0.368757 | + | 0.929526i | \(0.620217\pi\) | |||||||
\(878\) | 15.6010 | + | 58.2237i | 0.526508 | + | 1.96495i | ||||
\(879\) | 15.9040 | − | 4.32277i | 0.536430 | − | 0.145804i | ||||
\(880\) | −5.65241 | − | 12.9896i | −0.190543 | − | 0.437878i | ||||
\(881\) | 17.0394i | 0.574073i | 0.957920 | + | 0.287036i | \(0.0926701\pi\) | ||||
−0.957920 | + | 0.287036i | \(0.907330\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.2389 | + | 12.2389i | 0.411871 | + | 0.411871i | 0.882390 | − | 0.470519i | \(-0.155933\pi\) |
−0.470519 | + | 0.882390i | \(0.655933\pi\) | |||||||
\(884\) | 0.0957764 | + | 0.165890i | 0.00322131 | + | 0.00557947i | ||||
\(885\) | 23.6425 | − | 32.2114i | 0.794733 | − | 1.08277i | ||||
\(886\) | −18.9992 | + | 32.9075i | −0.638289 | + | 1.10555i | ||||
\(887\) | 15.0351 | − | 56.1118i | 0.504830 | − | 1.88405i | 0.0388730 | − | 0.999244i | \(-0.487623\pi\) |
0.465957 | − | 0.884807i | \(-0.345710\pi\) | |||||||
\(888\) | 21.6710 | − | 0.0778552i | 0.727231 | − | 0.00261265i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 7.64848 | − | 6.08742i | 0.256378 | − | 0.204051i | ||||
\(891\) | 26.1624 | − | 15.6104i | 0.876472 | − | 0.522967i | ||||
\(892\) | −3.91205 | − | 14.6000i | −0.130985 | − | 0.488843i | ||||
\(893\) | 6.93708 | + | 25.8896i | 0.232141 | + | 0.866361i | ||||
\(894\) | −69.2447 | − | 18.2877i | −2.31589 | − | 0.611632i | ||||
\(895\) | 3.69464 | − | 32.5094i | 0.123498 | − | 1.08667i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.0130576 | + | 3.63458i | 0.000435980 | + | 0.121355i | ||||
\(898\) | −19.3217 | + | 72.1095i | −0.644773 | + | 2.40633i | ||||
\(899\) | −12.9594 | + | 22.4464i | −0.432221 | + | 0.748628i | ||||
\(900\) | −30.5927 | − | 28.0879i | −1.01976 | − | 0.936263i | ||||
\(901\) | −0.594788 | − | 1.03020i | −0.0198153 | − | 0.0343210i | ||||
\(902\) | 0.164635 | + | 0.164635i | 0.00548173 | + | 0.00548173i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.79089i | 0.159343i | ||||||||
\(905\) | 20.1697 | − | 8.77685i | 0.670464 | − | 0.291752i | ||||
\(906\) | 1.89015 | + | 6.95411i | 0.0627961 | + | 0.231035i | ||||
\(907\) | 9.11375 | + | 34.0130i | 0.302617 | + | 1.12938i | 0.934977 | + | 0.354708i | \(0.115420\pi\) |
−0.632360 | + | 0.774675i | \(0.717914\pi\) | |||||||
\(908\) | −5.70123 | − | 1.52764i | −0.189202 | − | 0.0506965i | ||||
\(909\) | 0.186158 | + | 25.9082i | 0.00617448 | + | 0.859322i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.4322i | 0.776342i | 0.921587 | + | 0.388171i | \(0.126893\pi\) | ||||
−0.921587 | + | 0.388171i | \(0.873107\pi\) | |||||||
\(912\) | 8.66678 | + | 14.8875i | 0.286986 | + | 0.492975i | ||||
\(913\) | 17.9442 | − | 4.80813i | 0.593866 | − | 0.159126i | ||||
\(914\) | −14.3763 | + | 24.9005i | −0.475525 | + | 0.823634i | ||||
\(915\) | −10.6050 | − | 24.1335i | −0.350590 | − | 0.797830i | ||||
\(916\) | −17.3326 | −0.572685 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −2.68628 | + | 0.0289532i | −0.0886605 | + | 0.000955598i | ||||
\(919\) | −27.7085 | + | 15.9975i | −0.914020 | + | 0.527710i | −0.881722 | − | 0.471769i | \(-0.843616\pi\) |
−0.0322975 | + | 0.999478i | \(0.510282\pi\) | |||||||
\(920\) | 16.0278 | − | 21.6732i | 0.528423 | − | 0.714546i | ||||
\(921\) | 23.8984 | − | 6.49567i | 0.787479 | − | 0.214040i | ||||
\(922\) | −54.1212 | − | 14.5017i | −1.78239 | − | 0.477589i | ||||
\(923\) | 0.817134 | − | 0.817134i | 0.0268963 | − | 0.0268963i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 31.5917 | − | 19.7656i | 1.03873 | − | 0.649889i | ||||
\(926\) | −35.3494 | + | 20.4090i | −1.16165 | + | 0.670681i | ||||
\(927\) | 3.94420 | − | 1.08728i | 0.129544 | − | 0.0357109i | ||||
\(928\) | 20.4411 | − | 5.47717i | 0.671011 | − | 0.179797i | ||||
\(929\) | −24.8929 | − | 43.1157i | −0.816709 | − | 1.41458i | −0.908094 | − | 0.418766i | \(-0.862463\pi\) |
0.0913849 | − | 0.995816i | \(-0.470871\pi\) | |||||||
\(930\) | 48.2384 | + | 60.1639i | 1.58180 | + | 1.97285i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 7.40423 | + | 7.40423i | 0.242534 | + | 0.242534i | ||||
\(933\) | 0.343470 | + | 0.590002i | 0.0112447 | + | 0.0193158i | ||||
\(934\) | 52.5972 | + | 30.3670i | 1.72103 | + | 0.993638i | ||||
\(935\) | 1.77227 | − | 0.265381i | 0.0579594 | − | 0.00867890i | ||||
\(936\) | −0.744987 | − | 1.26921i | −0.0243507 | − | 0.0414853i | ||||
\(937\) | 18.0919 | − | 18.0919i | 0.591035 | − | 0.591035i | −0.346876 | − | 0.937911i | \(-0.612757\pi\) |
0.937911 | + | 0.346876i | \(0.112757\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −17.9157 | + | 18.0449i | −0.584656 | + | 0.588872i | ||||
\(940\) | 11.4360 | − | 29.0562i | 0.373001 | − | 0.947707i | ||||
\(941\) | 52.8710 | + | 30.5251i | 1.72355 | + | 0.995090i | 0.911261 | + | 0.411829i | \(0.135110\pi\) |
0.812285 | + | 0.583261i | \(0.198224\pi\) | |||||||
\(942\) | 20.0408 | + | 11.4748i | 0.652966 | + | 0.373869i | ||||
\(943\) | 0.0585393 | − | 0.218472i | 0.00190630 | − | 0.00711441i | ||||
\(944\) | 19.3082 | 0.628430 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −39.3986 | −1.28096 | ||||||||
\(947\) | −10.2962 | + | 38.4259i | −0.334581 | + | 1.24867i | 0.569741 | + | 0.821824i | \(0.307043\pi\) |
−0.904323 | + | 0.426850i | \(0.859623\pi\) | |||||||
\(948\) | −47.6305 | − | 27.2718i | −1.54697 | − | 0.885746i | ||||
\(949\) | 3.08185 | + | 1.77930i | 0.100041 | + | 0.0577587i | ||||
\(950\) | −51.2478 | − | 27.2117i | −1.66270 | − | 0.882863i | ||||
\(951\) | 34.1841 | − | 34.4306i | 1.10850 | − | 1.11649i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 16.4406 | − | 16.4406i | 0.532564 | − | 0.532564i | −0.388771 | − | 0.921335i | \(-0.627100\pi\) |
0.921335 | + | 0.388771i | \(0.127100\pi\) | |||||||
\(954\) | 16.6630 | + | 28.3881i | 0.539484 | + | 0.919099i | ||||
\(955\) | 8.48104 | − | 11.4683i | 0.274440 | − | 0.371105i | ||||
\(956\) | 4.99993 | + | 2.88671i | 0.161709 | + | 0.0933629i | ||||
\(957\) | −8.38525 | − | 14.4039i | −0.271057 | − | 0.465613i | ||||
\(958\) | −41.6493 | − | 41.6493i | −1.34563 | − | 1.34563i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 5.29975 | − | 48.1748i | 0.171049 | − | 1.55483i | ||||
\(961\) | −26.0668 | − | 45.1489i | −0.840863 | − | 1.45642i | ||||
\(962\) | 4.59404 | − | 1.23097i | 0.148118 | − | 0.0396880i | ||||
\(963\) | 12.1004 | − | 3.33566i | 0.389930 | − | 0.107490i | ||||
\(964\) | −13.0365 | + | 7.52664i | −0.419878 | + | 0.242417i | ||||
\(965\) | 18.7138 | − | 14.8943i | 0.602417 | − | 0.479463i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.29391 | + | 3.29391i | −0.105925 | + | 0.105925i | −0.758083 | − | 0.652158i | \(-0.773864\pi\) |
0.652158 | + | 0.758083i | \(0.273864\pi\) | |||||||
\(968\) | 0.743749 | + | 0.199287i | 0.0239050 | + | 0.00640533i | ||||
\(969\) | −2.10287 | + | 0.571569i | −0.0675541 | + | 0.0183614i | ||||
\(970\) | −12.5904 | − | 9.31085i | −0.404252 | − | 0.298954i | ||||
\(971\) | −27.9865 | + | 16.1580i | −0.898130 | + | 0.518536i | −0.876593 | − | 0.481232i | \(-0.840189\pi\) |
−0.0215373 | + | 0.999768i | \(0.506856\pi\) | |||||||
\(972\) | 43.1535 | − | 0.775246i | 1.38415 | − | 0.0248660i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 88.4809 | 2.83511 | ||||||||
\(975\) | −2.23941 | − | 1.17879i | −0.0717185 | − | 0.0377516i | ||||
\(976\) | 6.36916 | − | 11.0317i | 0.203872 | − | 0.353116i | ||||
\(977\) | −11.5121 | + | 3.08465i | −0.368304 | + | 0.0986867i | −0.438224 | − | 0.898866i | \(-0.644392\pi\) |
0.0699201 | + | 0.997553i | \(0.477726\pi\) | |||||||
\(978\) | 9.62505 | + | 16.5336i | 0.307775 | + | 0.528687i | ||||
\(979\) | − | 6.77655i | − | 0.216580i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.0608251 | − | 8.46523i | −0.00194200 | − | 0.270274i | ||||
\(982\) | −5.79059 | − | 1.55158i | −0.184785 | − | 0.0495130i | ||||
\(983\) | −15.8226 | − | 59.0506i | −0.504661 | − | 1.88342i | −0.467259 | − | 0.884121i | \(-0.654758\pi\) |
−0.0374024 | − | 0.999300i | \(-0.511908\pi\) | |||||||
\(984\) | 0.0240210 | + | 0.0883762i | 0.000765760 | + | 0.00281733i | ||||
\(985\) | −2.98642 | − | 1.17541i | −0.0951554 | − | 0.0374515i | ||||
\(986\) | 1.46968i | 0.0468041i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.04031 | − | 3.04031i | −0.0967251 | − | 0.0967251i | ||||
\(989\) | 19.1367 | + | 33.1457i | 0.608510 | + | 1.05397i | ||||
\(990\) | −48.9871 | + | 7.69564i | −1.55691 | + | 0.244583i | ||||
\(991\) | 12.6486 | − | 21.9080i | 0.401795 | − | 0.695930i | −0.592147 | − | 0.805830i | \(-0.701720\pi\) |
0.993943 | + | 0.109900i | \(0.0350530\pi\) | |||||||
\(992\) | −17.5678 | + | 65.5639i | −0.557778 | + | 2.08166i | ||||
\(993\) | 0.153913 | + | 42.8417i | 0.00488428 | + | 1.35954i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −20.8855 | − | 2.37360i | −0.662115 | − | 0.0752483i | ||||
\(996\) | 25.4458 | + | 6.72029i | 0.806280 | + | 0.212941i | ||||
\(997\) | −8.53861 | − | 31.8665i | −0.270421 | − | 1.00922i | −0.958848 | − | 0.283919i | \(-0.908365\pi\) |
0.688428 | − | 0.725305i | \(-0.258301\pi\) | |||||||
\(998\) | −17.1340 | − | 63.9448i | −0.542366 | − | 2.02414i | ||||
\(999\) | −9.61964 | + | 37.5136i | −0.304352 | + | 1.18688i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))