Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [160,2,Mod(29,160)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(160, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("160.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 160 = 2^{5} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 160.z (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.27760643234\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 29.10 | ||
Character | \(\chi\) | \(=\) | 160.29 |
Dual form | 160.2.z.a.149.10 |
$q$-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 \(\left(\mathbb{Z}/160\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(101\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.381706 | − | 1.36173i | −0.269907 | − | 0.962886i | ||||
\(3\) | 1.23949 | − | 2.99239i | 0.715620 | − | 1.72766i | 0.0301628 | − | 0.999545i | \(-0.490397\pi\) |
0.685457 | − | 0.728113i | \(-0.259603\pi\) | |||||||
\(4\) | −1.70860 | + | 1.03956i | −0.854301 | + | 0.519779i | ||||
\(5\) | −1.80901 | + | 1.31434i | −0.809014 | + | 0.587790i | ||||
\(6\) | −4.54794 | − | 0.545632i | −1.85669 | − | 0.222754i | ||||
\(7\) | −1.10874 | − | 1.10874i | −0.419065 | − | 0.419065i | 0.465817 | − | 0.884881i | \(-0.345761\pi\) |
−0.884881 | + | 0.465817i | \(0.845761\pi\) | |||||||
\(8\) | 2.06778 | + | 1.92984i | 0.731070 | + | 0.682302i | ||||
\(9\) | −5.29676 | − | 5.29676i | −1.76559 | − | 1.76559i | ||||
\(10\) | 2.48028 | + | 1.96169i | 0.784333 | + | 0.620340i | ||||
\(11\) | 4.18025 | − | 1.73152i | 1.26039 | − | 0.522072i | 0.350363 | − | 0.936614i | \(-0.386058\pi\) |
0.910030 | + | 0.414542i | \(0.136058\pi\) | |||||||
\(12\) | 0.992974 | + | 6.40133i | 0.286647 | + | 1.84790i | ||||
\(13\) | 0.229363 | + | 0.0950054i | 0.0636139 | + | 0.0263498i | 0.414264 | − | 0.910157i | \(-0.364039\pi\) |
−0.350650 | + | 0.936507i | \(0.614039\pi\) | |||||||
\(14\) | −1.08659 | + | 1.93301i | −0.290403 | + | 0.516620i | ||||
\(15\) | 1.69077 | + | 7.04237i | 0.436554 | + | 1.81833i | ||||
\(16\) | 1.83864 | − | 3.55238i | 0.459659 | − | 0.888095i | ||||
\(17\) | 1.91879 | 0.465376 | 0.232688 | − | 0.972551i | \(-0.425248\pi\) | ||||
0.232688 | + | 0.972551i | \(0.425248\pi\) | |||||||
\(18\) | −5.19093 | + | 9.23454i | −1.22351 | + | 2.17660i | ||||
\(19\) | −0.745803 | + | 1.80053i | −0.171099 | + | 0.413069i | −0.986048 | − | 0.166464i | \(-0.946765\pi\) |
0.814949 | + | 0.579533i | \(0.196765\pi\) | |||||||
\(20\) | 1.72454 | − | 4.12625i | 0.385620 | − | 0.922658i | ||||
\(21\) | −4.69206 | + | 1.94351i | −1.02389 | + | 0.424110i | ||||
\(22\) | −3.95348 | − | 5.03143i | −0.842885 | − | 1.07270i | ||||
\(23\) | 3.63165 | − | 3.63165i | 0.757251 | − | 0.757251i | −0.218570 | − | 0.975821i | \(-0.570139\pi\) |
0.975821 | + | 0.218570i | \(0.0701393\pi\) | |||||||
\(24\) | 8.33784 | − | 3.79558i | 1.70195 | − | 0.774770i | ||||
\(25\) | 1.54503 | − | 4.75530i | 0.309006 | − | 0.951060i | ||||
\(26\) | 0.0418221 | − | 0.348594i | 0.00820198 | − | 0.0683650i | ||||
\(27\) | −13.4381 | + | 5.56623i | −2.58616 | + | 1.07122i | ||||
\(28\) | 3.04700 | + | 0.741795i | 0.575828 | + | 0.140186i | ||||
\(29\) | 4.73967 | + | 1.96323i | 0.880134 | + | 0.364564i | 0.776549 | − | 0.630057i | \(-0.216968\pi\) |
0.103585 | + | 0.994621i | \(0.466968\pi\) | |||||||
\(30\) | 8.94441 | − | 4.99048i | 1.63302 | − | 0.911133i | ||||
\(31\) | −3.53104 | −0.634194 | −0.317097 | − | 0.948393i | \(-0.602708\pi\) | ||||
−0.317097 | + | 0.948393i | \(0.602708\pi\) | |||||||
\(32\) | −5.53919 | − | 1.14776i | −0.979200 | − | 0.202896i | ||||
\(33\) | − | 14.6551i | − | 2.55113i | ||||||
\(34\) | −0.732415 | − | 2.61287i | −0.125608 | − | 0.448104i | ||||
\(35\) | 3.46298 | + | 0.548462i | 0.585351 | + | 0.0927069i | ||||
\(36\) | 14.5563 | + | 3.54376i | 2.42606 | + | 0.590626i | ||||
\(37\) | −4.79534 | + | 1.98629i | −0.788349 | + | 0.326545i | −0.740279 | − | 0.672299i | \(-0.765307\pi\) |
−0.0480692 | + | 0.998844i | \(0.515307\pi\) | |||||||
\(38\) | 2.73650 | + | 0.328308i | 0.443919 | + | 0.0532586i | ||||
\(39\) | 0.568587 | − | 0.568587i | 0.0910467 | − | 0.0910467i | ||||
\(40\) | −6.27710 | − | 0.773343i | −0.992496 | − | 0.122276i | ||||
\(41\) | 2.54424 | + | 2.54424i | 0.397343 | + | 0.397343i | 0.877295 | − | 0.479952i | \(-0.159346\pi\) |
−0.479952 | + | 0.877295i | \(0.659346\pi\) | |||||||
\(42\) | 4.43752 | + | 5.64745i | 0.684725 | + | 0.871421i | ||||
\(43\) | 3.16869 | + | 7.64990i | 0.483221 | + | 1.16660i | 0.958071 | + | 0.286532i | \(0.0925025\pi\) |
−0.474849 | + | 0.880067i | \(0.657497\pi\) | |||||||
\(44\) | −5.34237 | + | 7.30409i | −0.805392 | + | 1.10113i | ||||
\(45\) | 16.5436 | + | 2.62015i | 2.46618 | + | 0.390589i | ||||
\(46\) | −6.33154 | − | 3.55909i | −0.933534 | − | 0.524760i | ||||
\(47\) | 7.33627 | 1.07010 | 0.535052 | − | 0.844819i | \(-0.320292\pi\) | ||||
0.535052 | + | 0.844819i | \(0.320292\pi\) | |||||||
\(48\) | −8.35115 | − | 9.90506i | −1.20538 | − | 1.42967i | ||||
\(49\) | − | 4.54139i | − | 0.648770i | ||||||
\(50\) | −7.06517 | − | 0.288781i | −0.999166 | − | 0.0408399i | ||||
\(51\) | 2.37832 | − | 5.74178i | 0.333032 | − | 0.804010i | ||||
\(52\) | −0.490654 | + | 0.0761102i | −0.0680415 | + | 0.0105546i | ||||
\(53\) | 0.792117 | + | 1.91234i | 0.108806 | + | 0.262680i | 0.968899 | − | 0.247457i | \(-0.0795948\pi\) |
−0.860093 | + | 0.510137i | \(0.829595\pi\) | |||||||
\(54\) | 12.7091 | + | 16.1743i | 1.72949 | + | 2.20105i | ||||
\(55\) | −5.28631 | + | 8.62659i | −0.712806 | + | 1.16321i | ||||
\(56\) | −0.152935 | − | 4.43232i | −0.0204367 | − | 0.592294i | ||||
\(57\) | 4.46347 | + | 4.46347i | 0.591201 | + | 0.591201i | ||||
\(58\) | 0.864231 | − | 7.20351i | 0.113479 | − | 0.945868i | ||||
\(59\) | 3.09584 | + | 7.47402i | 0.403044 | + | 0.973035i | 0.986923 | + | 0.161194i | \(0.0515344\pi\) |
−0.583878 | + | 0.811841i | \(0.698466\pi\) | |||||||
\(60\) | −10.2098 | − | 10.2750i | −1.31808 | − | 1.32649i | ||||
\(61\) | −3.83166 | − | 1.58713i | −0.490594 | − | 0.203211i | 0.123652 | − | 0.992326i | \(-0.460540\pi\) |
−0.614245 | + | 0.789115i | \(0.710540\pi\) | |||||||
\(62\) | 1.34782 | + | 4.80831i | 0.171173 | + | 0.610657i | ||||
\(63\) | 11.7455i | 1.47979i | ||||||||
\(64\) | 0.551413 | + | 7.98097i | 0.0689267 | + | 0.997622i | ||||
\(65\) | −0.539789 | + | 0.129595i | −0.0669526 | + | 0.0160743i | ||||
\(66\) | −19.9563 | + | 5.59396i | −2.45645 | + | 0.688568i | ||||
\(67\) | −0.518193 | + | 1.25103i | −0.0633073 | + | 0.152837i | −0.952367 | − | 0.304953i | \(-0.901359\pi\) |
0.889060 | + | 0.457791i | \(0.151359\pi\) | |||||||
\(68\) | −3.27845 | + | 1.99470i | −0.397571 | + | 0.241893i | ||||
\(69\) | −6.36593 | − | 15.3687i | −0.766367 | − | 1.85017i | ||||
\(70\) | −0.574986 | − | 4.92499i | −0.0687239 | − | 0.588649i | ||||
\(71\) | 5.24488 | − | 5.24488i | 0.622452 | − | 0.622452i | −0.323705 | − | 0.946158i | \(-0.604929\pi\) |
0.946158 | + | 0.323705i | \(0.104929\pi\) | |||||||
\(72\) | −0.730610 | − | 21.1744i | −0.0861032 | − | 2.49543i | ||||
\(73\) | −3.78304 | + | 3.78304i | −0.442771 | + | 0.442771i | −0.892942 | − | 0.450171i | \(-0.851363\pi\) |
0.450171 | + | 0.892942i | \(0.351363\pi\) | |||||||
\(74\) | 4.53520 | + | 5.77176i | 0.527206 | + | 0.670954i | ||||
\(75\) | −12.3147 | − | 10.5175i | −1.42198 | − | 1.21445i | ||||
\(76\) | −0.597474 | − | 3.85169i | −0.0685350 | − | 0.441819i | ||||
\(77\) | −6.55462 | − | 2.71501i | −0.746968 | − | 0.309404i | ||||
\(78\) | −0.991293 | − | 0.557227i | −0.112242 | − | 0.0630935i | ||||
\(79\) | − | 5.57057i | − | 0.626739i | −0.949631 | − | 0.313369i | \(-0.898542\pi\) | ||
0.949631 | − | 0.313369i | \(-0.101458\pi\) | |||||||
\(80\) | 1.34292 | + | 8.84288i | 0.150143 | + | 0.988664i | ||||
\(81\) | 24.6390i | 2.73767i | ||||||||
\(82\) | 2.49341 | − | 4.43571i | 0.275351 | − | 0.489842i | ||||
\(83\) | −3.79865 | − | 1.57345i | −0.416956 | − | 0.172709i | 0.164335 | − | 0.986405i | \(-0.447452\pi\) |
−0.581291 | + | 0.813696i | \(0.697452\pi\) | |||||||
\(84\) | 5.99646 | − | 8.19836i | 0.654267 | − | 0.894514i | ||||
\(85\) | −3.47112 | + | 2.52194i | −0.376495 | + | 0.273543i | ||||
\(86\) | 9.20757 | − | 7.23491i | 0.992878 | − | 0.780160i | ||||
\(87\) | 11.7495 | − | 11.7495i | 1.25968 | − | 1.25968i | ||||
\(88\) | 11.9854 | + | 4.48683i | 1.27765 | + | 0.478298i | ||||
\(89\) | −5.22531 | + | 5.22531i | −0.553882 | + | 0.553882i | −0.927559 | − | 0.373677i | \(-0.878097\pi\) |
0.373677 | + | 0.927559i | \(0.378097\pi\) | |||||||
\(90\) | −2.74686 | − | 23.5280i | −0.289545 | − | 2.48007i | ||||
\(91\) | −0.148968 | − | 0.359641i | −0.0156161 | − | 0.0377006i | ||||
\(92\) | −2.42973 | + | 9.98035i | −0.253317 | + | 1.04052i | ||||
\(93\) | −4.37669 | + | 10.5663i | −0.453841 | + | 1.09567i | ||||
\(94\) | −2.80030 | − | 9.99000i | −0.288829 | − | 1.03039i | ||||
\(95\) | −1.01734 | − | 4.23741i | −0.104377 | − | 0.434749i | ||||
\(96\) | −10.3003 | + | 15.1528i | −1.05127 | + | 1.54653i | ||||
\(97\) | 8.97673i | 0.911449i | 0.890121 | + | 0.455724i | \(0.150620\pi\) | ||||
−0.890121 | + | 0.455724i | \(0.849380\pi\) | |||||||
\(98\) | −6.18413 | + | 1.73347i | −0.624692 | + | 0.175107i | ||||
\(99\) | −31.3132 | − | 12.9703i | −3.14709 | − | 1.30357i | ||||
\(100\) | 2.30358 | + | 9.73106i | 0.230358 | + | 0.973106i | ||||
\(101\) | 2.96848 | + | 7.16655i | 0.295375 | + | 0.713098i | 0.999994 | + | 0.00351218i | \(0.00111796\pi\) |
−0.704619 | + | 0.709586i | \(0.748882\pi\) | |||||||
\(102\) | −8.72656 | − | 1.04696i | −0.864058 | − | 0.103664i | ||||
\(103\) | 8.17515 | + | 8.17515i | 0.805522 | + | 0.805522i | 0.983952 | − | 0.178431i | \(-0.0571021\pi\) |
−0.178431 | + | 0.983952i | \(0.557102\pi\) | |||||||
\(104\) | 0.290927 | + | 0.639085i | 0.0285277 | + | 0.0626674i | ||||
\(105\) | 5.93354 | − | 9.68279i | 0.579054 | − | 0.944943i | ||||
\(106\) | 2.30173 | − | 1.80860i | 0.223564 | − | 0.175667i | ||||
\(107\) | 2.00192 | + | 4.83305i | 0.193532 | + | 0.467229i | 0.990622 | − | 0.136633i | \(-0.0436280\pi\) |
−0.797089 | + | 0.603861i | \(0.793628\pi\) | |||||||
\(108\) | 17.1739 | − | 23.4801i | 1.65256 | − | 2.25938i | ||||
\(109\) | −2.32832 | + | 5.62105i | −0.223012 | + | 0.538399i | −0.995296 | − | 0.0968782i | \(-0.969114\pi\) |
0.772284 | + | 0.635277i | \(0.219114\pi\) | |||||||
\(110\) | 13.7649 | + | 3.90569i | 1.31243 | + | 0.372393i | ||||
\(111\) | 16.8115i | 1.59568i | ||||||||
\(112\) | −5.97724 | + | 1.90010i | −0.564796 | + | 0.179543i | ||||
\(113\) | −16.5391 | −1.55587 | −0.777934 | − | 0.628346i | \(-0.783732\pi\) | ||||
−0.777934 | + | 0.628346i | \(0.783732\pi\) | |||||||
\(114\) | 4.37429 | − | 7.78176i | 0.409690 | − | 0.728828i | ||||
\(115\) | −1.79647 | + | 11.3429i | −0.167522 | + | 1.05773i | ||||
\(116\) | −10.1391 | + | 1.57278i | −0.941392 | + | 0.146029i | ||||
\(117\) | −0.711661 | − | 1.71810i | −0.0657931 | − | 0.158839i | ||||
\(118\) | 8.99588 | − | 7.06857i | 0.828138 | − | 0.650715i | ||||
\(119\) | −2.12744 | − | 2.12744i | −0.195023 | − | 0.195023i | ||||
\(120\) | −10.0945 | + | 17.8250i | −0.921501 | + | 1.62719i | ||||
\(121\) | 6.69817 | − | 6.69817i | 0.608925 | − | 0.608925i | ||||
\(122\) | −0.698665 | + | 5.82349i | −0.0632541 | + | 0.527234i | ||||
\(123\) | 10.7669 | − | 4.45980i | 0.970820 | − | 0.402127i | ||||
\(124\) | 6.03314 | − | 3.67072i | 0.541792 | − | 0.329641i | ||||
\(125\) | 3.45510 | + | 10.6331i | 0.309034 | + | 0.951051i | ||||
\(126\) | 15.9941 | − | 4.48331i | 1.42487 | − | 0.399405i | ||||
\(127\) | − | 14.9371i | − | 1.32545i | −0.748862 | − | 0.662726i | \(-0.769399\pi\) | ||
0.748862 | − | 0.662726i | \(-0.230601\pi\) | |||||||
\(128\) | 10.6574 | − | 3.79726i | 0.941993 | − | 0.335633i | ||||
\(129\) | 26.8191 | 2.36129 | ||||||||
\(130\) | 0.382514 | + | 0.685579i | 0.0335487 | + | 0.0601292i | ||||
\(131\) | 0.144904 | + | 0.0600212i | 0.0126603 | + | 0.00524408i | 0.389005 | − | 0.921236i | \(-0.372819\pi\) |
−0.376344 | + | 0.926480i | \(0.622819\pi\) | |||||||
\(132\) | 15.2349 | + | 25.0398i | 1.32603 | + | 2.17943i | ||||
\(133\) | 2.82322 | − | 1.16942i | 0.244804 | − | 0.101401i | ||||
\(134\) | 1.90136 | + | 0.228112i | 0.164252 | + | 0.0197059i | ||||
\(135\) | 16.9937 | − | 27.7315i | 1.46258 | − | 2.38675i | ||||
\(136\) | 3.96764 | + | 3.70297i | 0.340222 | + | 0.317527i | ||||
\(137\) | 5.31592 | − | 5.31592i | 0.454169 | − | 0.454169i | −0.442566 | − | 0.896736i | \(-0.645932\pi\) |
0.896736 | + | 0.442566i | \(0.145932\pi\) | |||||||
\(138\) | −18.4981 | + | 14.5350i | −1.57466 | + | 1.23730i | ||||
\(139\) | 16.1550 | − | 6.69164i | 1.37025 | − | 0.567577i | 0.428396 | − | 0.903591i | \(-0.359079\pi\) |
0.941857 | + | 0.336014i | \(0.109079\pi\) | |||||||
\(140\) | −6.48701 | + | 2.66287i | −0.548253 | + | 0.225054i | ||||
\(141\) | 9.09323 | − | 21.9530i | 0.765788 | − | 1.84878i | ||||
\(142\) | −9.14409 | − | 5.14009i | −0.767355 | − | 0.431347i | ||||
\(143\) | 1.12330 | 0.0939350 | ||||||||
\(144\) | −28.5549 | + | 9.07729i | −2.37958 | + | 0.756441i | ||||
\(145\) | −11.1545 | + | 2.67802i | −0.926327 | + | 0.222397i | ||||
\(146\) | 6.59548 | + | 3.70746i | 0.545846 | + | 0.306832i | ||||
\(147\) | −13.5896 | − | 5.62900i | −1.12085 | − | 0.464272i | ||||
\(148\) | 6.12845 | − | 8.37882i | 0.503756 | − | 0.688735i | ||||
\(149\) | −18.6169 | + | 7.71137i | −1.52516 | + | 0.631740i | −0.978616 | − | 0.205694i | \(-0.934055\pi\) |
−0.546539 | + | 0.837434i | \(0.684055\pi\) | |||||||
\(150\) | −9.62135 | + | 20.7838i | −0.785580 | + | 1.69699i | ||||
\(151\) | −7.87634 | − | 7.87634i | −0.640967 | − | 0.640967i | 0.309826 | − | 0.950793i | \(-0.399729\pi\) |
−0.950793 | + | 0.309826i | \(0.899729\pi\) | |||||||
\(152\) | −5.01689 | + | 2.28381i | −0.406923 | + | 0.185241i | ||||
\(153\) | −10.1634 | − | 10.1634i | −0.821661 | − | 0.821661i | ||||
\(154\) | −1.19517 | + | 9.96193i | −0.0963094 | + | 0.802756i | ||||
\(155\) | 6.38769 | − | 4.64098i | 0.513071 | − | 0.372773i | ||||
\(156\) | −0.380409 | + | 1.56257i | −0.0304571 | + | 0.125105i | ||||
\(157\) | 3.37959 | − | 8.15905i | 0.269721 | − | 0.651163i | −0.729749 | − | 0.683715i | \(-0.760363\pi\) |
0.999470 | + | 0.0325515i | \(0.0103633\pi\) | |||||||
\(158\) | −7.58560 | + | 2.12632i | −0.603478 | + | 0.169161i | ||||
\(159\) | 6.70429 | 0.531685 | ||||||||
\(160\) | 11.5290 | − | 5.20407i | 0.911447 | − | 0.411418i | ||||
\(161\) | −8.05311 | −0.634674 | ||||||||
\(162\) | 33.5516 | − | 9.40486i | 2.63606 | − | 0.738915i | ||||
\(163\) | −3.43659 | + | 8.29666i | −0.269175 | + | 0.649845i | −0.999445 | − | 0.0333134i | \(-0.989394\pi\) |
0.730270 | + | 0.683158i | \(0.239394\pi\) | |||||||
\(164\) | −6.99198 | − | 1.70220i | −0.545982 | − | 0.132920i | ||||
\(165\) | 19.2618 | + | 26.5113i | 1.49953 | + | 2.06390i | ||||
\(166\) | −0.692646 | + | 5.77333i | −0.0537598 | + | 0.448097i | ||||
\(167\) | 10.1529 | + | 10.1529i | 0.785659 | + | 0.785659i | 0.980779 | − | 0.195121i | \(-0.0625098\pi\) |
−0.195121 | + | 0.980779i | \(0.562510\pi\) | |||||||
\(168\) | −13.4528 | − | 5.03618i | −1.03791 | − | 0.388550i | ||||
\(169\) | −9.14881 | − | 9.14881i | −0.703754 | − | 0.703754i | ||||
\(170\) | 4.75915 | + | 3.76407i | 0.365010 | + | 0.288691i | ||||
\(171\) | 13.4873 | − | 5.58662i | 1.03140 | − | 0.427219i | ||||
\(172\) | −13.3666 | − | 9.77659i | −1.01919 | − | 0.745458i | ||||
\(173\) | −14.1393 | − | 5.85667i | −1.07499 | − | 0.445275i | −0.226240 | − | 0.974072i | \(-0.572643\pi\) |
−0.848748 | + | 0.528797i | \(0.822643\pi\) | |||||||
\(174\) | −20.4845 | − | 11.5148i | −1.55293 | − | 0.872934i | ||||
\(175\) | −6.98543 | + | 3.55936i | −0.528049 | + | 0.269062i | ||||
\(176\) | 1.53495 | − | 18.0335i | 0.115701 | − | 1.35932i | ||||
\(177\) | 26.2025 | 1.96950 | ||||||||
\(178\) | 9.10998 | + | 5.12092i | 0.682822 | + | 0.383829i | ||||
\(179\) | 7.22558 | − | 17.4441i | 0.540065 | − | 1.30383i | −0.384611 | − | 0.923079i | \(-0.625665\pi\) |
0.924676 | − | 0.380754i | \(-0.124335\pi\) | |||||||
\(180\) | −30.9902 | + | 12.7213i | −2.30988 | + | 0.948187i | ||||
\(181\) | 2.29370 | − | 0.950080i | 0.170489 | − | 0.0706189i | −0.295806 | − | 0.955248i | \(-0.595588\pi\) |
0.466296 | + | 0.884629i | \(0.345588\pi\) | |||||||
\(182\) | −0.432870 | + | 0.340131i | −0.0320865 | + | 0.0252122i | ||||
\(183\) | −9.49861 | + | 9.49861i | −0.702157 | + | 0.702157i | ||||
\(184\) | 14.5180 | − | 0.500933i | 1.07028 | − | 0.0369293i | ||||
\(185\) | 6.06415 | − | 9.89592i | 0.445845 | − | 0.727563i | ||||
\(186\) | 16.0590 | + | 1.92665i | 1.17750 | + | 0.141269i | ||||
\(187\) | 8.02104 | − | 3.32242i | 0.586556 | − | 0.242960i | ||||
\(188\) | −12.5348 | + | 7.62648i | −0.914191 | + | 0.556218i | ||||
\(189\) | 21.0708 | + | 8.72782i | 1.53268 | + | 0.634856i | ||||
\(190\) | −5.38187 | + | 3.00278i | −0.390442 | + | 0.217845i | ||||
\(191\) | −23.1537 | −1.67534 | −0.837670 | − | 0.546176i | \(-0.816083\pi\) | ||||
−0.837670 | + | 0.546176i | \(0.816083\pi\) | |||||||
\(192\) | 24.5657 | + | 8.24229i | 1.77287 | + | 0.594836i | ||||
\(193\) | 26.3284i | 1.89516i | 0.319524 | + | 0.947578i | \(0.396477\pi\) | ||||
−0.319524 | + | 0.947578i | \(0.603523\pi\) | |||||||
\(194\) | 12.2239 | − | 3.42647i | 0.877621 | − | 0.246006i | ||||
\(195\) | −0.281263 | + | 1.77589i | −0.0201417 | + | 0.127174i | ||||
\(196\) | 4.72104 | + | 7.75942i | 0.337217 | + | 0.554244i | ||||
\(197\) | 18.7771 | − | 7.77771i | 1.33781 | − | 0.554139i | 0.404937 | − | 0.914345i | \(-0.367294\pi\) |
0.932873 | + | 0.360206i | \(0.117294\pi\) | |||||||
\(198\) | −5.70964 | + | 47.5909i | −0.405767 | + | 3.38214i | ||||
\(199\) | −16.0879 | + | 16.0879i | −1.14044 | + | 1.14044i | −0.152069 | + | 0.988370i | \(0.548593\pi\) |
−0.988370 | + | 0.152069i | \(0.951407\pi\) | |||||||
\(200\) | 12.3718 | − | 6.85124i | 0.874816 | − | 0.484456i | ||||
\(201\) | 3.10127 | + | 3.10127i | 0.218747 | + | 0.218747i | ||||
\(202\) | 8.62579 | − | 6.77777i | 0.606909 | − | 0.476883i | ||||
\(203\) | −3.07834 | − | 7.43178i | −0.216057 | − | 0.521609i | ||||
\(204\) | 1.90531 | + | 12.2828i | 0.133399 | + | 0.859970i | ||||
\(205\) | −7.94654 | − | 1.25856i | −0.555011 | − | 0.0879017i | ||||
\(206\) | 8.01182 | − | 14.2528i | 0.558210 | − | 0.993042i | ||||
\(207\) | −38.4719 | −2.67398 | ||||||||
\(208\) | 0.759211 | − | 0.640106i | 0.0526418 | − | 0.0443833i | ||||
\(209\) | 8.81802i | 0.609955i | ||||||||
\(210\) | −15.4502 | − | 4.38389i | −1.06616 | − | 0.302517i | ||||
\(211\) | −1.08515 | + | 2.61979i | −0.0747050 | + | 0.180354i | −0.956821 | − | 0.290679i | \(-0.906119\pi\) |
0.882116 | + | 0.471033i | \(0.156119\pi\) | |||||||
\(212\) | −3.34140 | − | 2.44397i | −0.229488 | − | 0.167853i | ||||
\(213\) | −9.19376 | − | 22.1957i | −0.629946 | − | 1.52082i | ||||
\(214\) | 5.81715 | − | 4.57087i | 0.397652 | − | 0.312458i | ||||
\(215\) | −15.7868 | − | 9.67401i | −1.07665 | − | 0.659762i | ||||
\(216\) | −38.5289 | − | 14.4236i | −2.62156 | − | 0.981404i | ||||
\(217\) | 3.91501 | + | 3.91501i | 0.265768 | + | 0.265768i | ||||
\(218\) | 8.54307 | + | 1.02494i | 0.578610 | + | 0.0694178i | ||||
\(219\) | 6.63130 | + | 16.0094i | 0.448102 | + | 1.08181i | ||||
\(220\) | 0.0643524 | − | 20.2348i | 0.00433863 | − | 1.36423i | ||||
\(221\) | 0.440101 | + | 0.182296i | 0.0296044 | + | 0.0122625i | ||||
\(222\) | 22.8927 | − | 6.41706i | 1.53646 | − | 0.430685i | ||||
\(223\) | − | 18.8546i | − | 1.26260i | −0.775540 | − | 0.631298i | \(-0.782522\pi\) | ||
0.775540 | − | 0.631298i | \(-0.217478\pi\) | |||||||
\(224\) | 4.86897 | + | 7.41409i | 0.325321 | + | 0.495375i | ||||
\(225\) | −33.3713 | + | 17.0040i | −2.22475 | + | 1.13360i | ||||
\(226\) | 6.31307 | + | 22.5217i | 0.419939 | + | 1.49812i | ||||
\(227\) | 1.91430 | − | 4.62152i | 0.127056 | − | 0.306741i | −0.847532 | − | 0.530744i | \(-0.821913\pi\) |
0.974588 | + | 0.224003i | \(0.0719125\pi\) | |||||||
\(228\) | −12.2663 | − | 2.98625i | −0.812357 | − | 0.197769i | ||||
\(229\) | 2.03950 | + | 4.92379i | 0.134774 | + | 0.325373i | 0.976830 | − | 0.214017i | \(-0.0686547\pi\) |
−0.842056 | + | 0.539390i | \(0.818655\pi\) | |||||||
\(230\) | 16.1317 | − | 1.88335i | 1.06369 | − | 0.124184i | ||||
\(231\) | −16.2488 | + | 16.2488i | −1.06909 | + | 1.06909i | ||||
\(232\) | 6.01185 | + | 13.2063i | 0.394697 | + | 0.867039i | ||||
\(233\) | 18.5844 | − | 18.5844i | 1.21751 | − | 1.21751i | 0.249004 | − | 0.968502i | \(-0.419897\pi\) |
0.968502 | − | 0.249004i | \(-0.0801033\pi\) | |||||||
\(234\) | −2.06794 | + | 1.62490i | −0.135185 | + | 0.106223i | ||||
\(235\) | −13.2714 | + | 9.64234i | −0.865729 | + | 0.628997i | ||||
\(236\) | −13.0592 | − | 9.55182i | −0.850084 | − | 0.621770i | ||||
\(237\) | −16.6693 | − | 6.90467i | −1.08279 | − | 0.448506i | ||||
\(238\) | −2.08494 | + | 3.70906i | −0.135147 | + | 0.240422i | ||||
\(239\) | − | 18.9001i | − | 1.22255i | −0.791420 | − | 0.611273i | \(-0.790658\pi\) | ||
0.791420 | − | 0.611273i | \(-0.209342\pi\) | |||||||
\(240\) | 28.1259 | + | 6.94211i | 1.81552 | + | 0.448111i | ||||
\(241\) | − | 21.2156i | − | 1.36662i | −0.730129 | − | 0.683309i | \(-0.760540\pi\) | ||
0.730129 | − | 0.683309i | \(-0.239460\pi\) | |||||||
\(242\) | −11.6778 | − | 6.56435i | −0.750678 | − | 0.421972i | ||||
\(243\) | 33.4154 | + | 13.8411i | 2.14360 | + | 0.887907i | ||||
\(244\) | 8.19669 | − | 1.27147i | 0.524739 | − | 0.0813976i | ||||
\(245\) | 5.96892 | + | 8.21541i | 0.381340 | + | 0.524864i | ||||
\(246\) | −10.1828 | − | 12.9593i | −0.649234 | − | 0.826253i | ||||
\(247\) | −0.342119 | + | 0.342119i | −0.0217685 | + | 0.0217685i | ||||
\(248\) | −7.30141 | − | 6.81435i | −0.463640 | − | 0.432712i | ||||
\(249\) | −9.41678 | + | 9.41678i | −0.596764 | + | 0.596764i | ||||
\(250\) | 13.1605 | − | 8.76361i | 0.832344 | − | 0.554260i | ||||
\(251\) | 3.91571 | + | 9.45336i | 0.247157 | + | 0.596691i | 0.997960 | − | 0.0638355i | \(-0.0203333\pi\) |
−0.750803 | + | 0.660526i | \(0.770333\pi\) | |||||||
\(252\) | −12.2101 | − | 20.0683i | −0.769163 | − | 1.26418i | ||||
\(253\) | 8.89294 | − | 21.4695i | 0.559094 | − | 1.34977i | ||||
\(254\) | −20.3402 | + | 5.70158i | −1.27626 | + | 0.357749i | ||||
\(255\) | 3.24424 | + | 13.5129i | 0.203162 | + | 0.846208i | ||||
\(256\) | −9.23884 | − | 13.0631i | −0.577427 | − | 0.816442i | ||||
\(257\) | − | 15.2871i | − | 0.953583i | −0.879017 | − | 0.476791i | \(-0.841800\pi\) | ||
0.879017 | − | 0.476791i | \(-0.158200\pi\) | |||||||
\(258\) | −10.2370 | − | 36.5202i | −0.637328 | − | 2.27365i | ||||
\(259\) | 7.51907 | + | 3.11450i | 0.467212 | + | 0.193526i | ||||
\(260\) | 0.787563 | − | 0.782570i | 0.0488426 | − | 0.0485329i | ||||
\(261\) | −14.7061 | − | 35.5036i | −0.910284 | − | 2.19762i | ||||
\(262\) | 0.0264218 | − | 0.220230i | 0.00163234 | − | 0.0136059i | ||||
\(263\) | −0.224977 | − | 0.224977i | −0.0138727 | − | 0.0138727i | 0.700136 | − | 0.714009i | \(-0.253123\pi\) |
−0.714009 | + | 0.700136i | \(0.753123\pi\) | |||||||
\(264\) | 28.2821 | − | 30.3036i | 1.74064 | − | 1.86506i | ||||
\(265\) | −3.94641 | − | 2.41833i | −0.242426 | − | 0.148557i | ||||
\(266\) | −2.67006 | − | 3.39808i | −0.163712 | − | 0.208350i | ||||
\(267\) | 9.15947 | + | 22.1129i | 0.560550 | + | 1.35329i | ||||
\(268\) | −0.415132 | − | 2.67620i | −0.0253582 | − | 0.163475i | ||||
\(269\) | −10.6586 | + | 25.7320i | −0.649863 | + | 1.56891i | 0.163110 | + | 0.986608i | \(0.447847\pi\) |
−0.812973 | + | 0.582301i | \(0.802153\pi\) | |||||||
\(270\) | −44.2494 | − | 12.5555i | −2.69293 | − | 0.764101i | ||||
\(271\) | 5.96969i | 0.362633i | 0.983425 | + | 0.181317i | \(0.0580359\pi\) | ||||
−0.983425 | + | 0.181317i | \(0.941964\pi\) | |||||||
\(272\) | 3.52796 | − | 6.81629i | 0.213914 | − | 0.413298i | ||||
\(273\) | −1.26083 | −0.0763089 | ||||||||
\(274\) | −9.26794 | − | 5.20971i | −0.559897 | − | 0.314730i | ||||
\(275\) | −1.77527 | − | 22.5536i | −0.107053 | − | 1.36003i | ||||
\(276\) | 26.8535 | + | 19.6412i | 1.61639 | + | 1.18226i | ||||
\(277\) | 10.1647 | + | 24.5396i | 0.610735 | + | 1.47444i | 0.862195 | + | 0.506577i | \(0.169089\pi\) |
−0.251460 | + | 0.967868i | \(0.580911\pi\) | |||||||
\(278\) | −15.2787 | − | 19.4445i | −0.916353 | − | 1.16620i | ||||
\(279\) | 18.7031 | + | 18.7031i | 1.11972 | + | 1.11972i | ||||
\(280\) | 6.10223 | + | 7.81711i | 0.364678 | + | 0.467162i | ||||
\(281\) | 4.36054 | − | 4.36054i | 0.260128 | − | 0.260128i | −0.564978 | − | 0.825106i | \(-0.691115\pi\) |
0.825106 | + | 0.564978i | \(0.191115\pi\) | |||||||
\(282\) | −33.3649 | − | 4.00291i | −1.98685 | − | 0.238370i | ||||
\(283\) | 0.228332 | − | 0.0945784i | 0.0135730 | − | 0.00562210i | −0.375887 | − | 0.926666i | \(-0.622662\pi\) |
0.389460 | + | 0.921044i | \(0.372662\pi\) | |||||||
\(284\) | −3.50905 | + | 14.4138i | −0.208224 | + | 0.855299i | ||||
\(285\) | −13.9410 | − | 2.20795i | −0.825791 | − | 0.130788i | ||||
\(286\) | −0.428770 | − | 1.52963i | −0.0253537 | − | 0.0904487i | ||||
\(287\) | − | 5.64180i | − | 0.333025i | ||||||
\(288\) | 23.2604 | + | 35.4191i | 1.37063 | + | 2.08709i | ||||
\(289\) | −13.3182 | −0.783425 | ||||||||
\(290\) | 7.90445 | + | 14.1671i | 0.464165 | + | 0.831922i | ||||
\(291\) | 26.8619 | + | 11.1266i | 1.57467 | + | 0.652250i | ||||
\(292\) | 2.53102 | − | 10.3964i | 0.148116 | − | 0.608403i | ||||
\(293\) | −12.1130 | + | 5.01736i | −0.707648 | + | 0.293117i | −0.707331 | − | 0.706883i | \(-0.750101\pi\) |
−0.000317126 | 1.00000i | \(0.500101\pi\) | ||||||||
\(294\) | −2.47793 | + | 20.6540i | −0.144516 | + | 1.20456i | ||||
\(295\) | −15.4238 | − | 9.45159i | −0.898008 | − | 0.550293i | ||||
\(296\) | −13.7489 | − | 5.14703i | −0.799140 | − | 0.299165i | ||||
\(297\) | −46.5365 | + | 46.5365i | −2.70032 | + | 2.70032i | ||||
\(298\) | 17.6070 | + | 22.4077i | 1.01994 | + | 1.29804i | ||||
\(299\) | 1.17799 | − | 0.487941i | 0.0681251 | − | 0.0282183i | ||||
\(300\) | 31.9744 | + | 5.16835i | 1.84604 | + | 0.298395i | ||||
\(301\) | 4.96850 | − | 11.9950i | 0.286379 | − | 0.691381i | ||||
\(302\) | −7.71898 | + | 13.7319i | −0.444177 | + | 0.790180i | ||||
\(303\) | 25.1245 | 1.44337 | ||||||||
\(304\) | 5.02490 | + | 5.95989i | 0.288198 | + | 0.341823i | ||||
\(305\) | 9.01753 | − | 2.16497i | 0.516342 | − | 0.123966i | ||||
\(306\) | −9.96033 | + | 17.7192i | −0.569394 | + | 1.01294i | ||||
\(307\) | 7.65695 | + | 3.17161i | 0.437005 | + | 0.181013i | 0.590329 | − | 0.807163i | \(-0.298998\pi\) |
−0.153324 | + | 0.988176i | \(0.548998\pi\) | |||||||
\(308\) | 14.0216 | − | 2.17504i | 0.798957 | − | 0.123934i | ||||
\(309\) | 34.5963 | − | 14.3302i | 1.96811 | − | 0.815219i | ||||
\(310\) | −8.75797 | − | 6.92679i | −0.497419 | − | 0.393415i | ||||
\(311\) | 5.55499 | + | 5.55499i | 0.314995 | + | 0.314995i | 0.846841 | − | 0.531846i | \(-0.178502\pi\) |
−0.531846 | + | 0.846841i | \(0.678502\pi\) | |||||||
\(312\) | 2.27299 | − | 0.0784282i | 0.128683 | − | 0.00444012i | ||||
\(313\) | −2.81614 | − | 2.81614i | −0.159178 | − | 0.159178i | 0.623025 | − | 0.782202i | \(-0.285904\pi\) |
−0.782202 | + | 0.623025i | \(0.785904\pi\) | |||||||
\(314\) | −12.4004 | − | 1.48772i | −0.699796 | − | 0.0839569i | ||||
\(315\) | −15.4375 | − | 21.2476i | −0.869805 | − | 1.19717i | ||||
\(316\) | 5.79094 | + | 9.51789i | 0.325766 | + | 0.535423i | ||||
\(317\) | −0.353554 | + | 0.853555i | −0.0198576 | + | 0.0479404i | −0.933497 | − | 0.358584i | \(-0.883260\pi\) |
0.913640 | + | 0.406525i | \(0.133260\pi\) | |||||||
\(318\) | −2.55907 | − | 9.12941i | −0.143505 | − | 0.511952i | ||||
\(319\) | 23.2124 | 1.29964 | ||||||||
\(320\) | −11.4872 | − | 13.7129i | −0.642155 | − | 0.766575i | ||||
\(321\) | 16.9437 | 0.945707 | ||||||||
\(322\) | 3.07392 | + | 10.9661i | 0.171303 | + | 0.611119i | ||||
\(323\) | −1.43104 | + | 3.45484i | −0.0796253 | + | 0.192232i | ||||
\(324\) | −25.6137 | − | 42.0982i | −1.42298 | − | 2.33879i | ||||
\(325\) | 0.806152 | − | 0.943905i | 0.0447173 | − | 0.0523584i | ||||
\(326\) | 12.6096 | + | 1.51281i | 0.698379 | + | 0.0837869i | ||||
\(327\) | 13.9345 | + | 13.9345i | 0.770578 | + | 0.770578i | ||||
\(328\) | 0.350941 | + | 10.1709i | 0.0193775 | + | 0.561594i | ||||
\(329\) | −8.13402 | − | 8.13402i | −0.448443 | − | 0.448443i | ||||
\(330\) | 28.7488 | − | 36.3489i | 1.58257 | − | 2.00094i | ||||
\(331\) | −13.5438 | + | 5.61003i | −0.744435 | + | 0.308355i | −0.722469 | − | 0.691404i | \(-0.756993\pi\) |
−0.0219663 | + | 0.999759i | \(0.506993\pi\) | |||||||
\(332\) | 8.12608 | − | 1.26052i | 0.445977 | − | 0.0691799i | ||||
\(333\) | 35.9206 | + | 14.8788i | 1.96844 | + | 0.815354i | ||||
\(334\) | 9.95010 | − | 17.7010i | 0.544445 | − | 0.968555i | ||||
\(335\) | −0.706859 | − | 2.94420i | −0.0386198 | − | 0.160859i | ||||
\(336\) | −1.72288 | + | 20.2414i | −0.0939910 | + | 1.10426i | ||||
\(337\) | −9.32051 | −0.507721 | −0.253860 | − | 0.967241i | \(-0.581700\pi\) | ||||
−0.253860 | + | 0.967241i | \(0.581700\pi\) | |||||||
\(338\) | −8.96602 | + | 15.9503i | −0.487687 | + | 0.867584i | ||||
\(339\) | −20.5000 | + | 49.4915i | −1.11341 | + | 2.68801i | ||||
\(340\) | 3.30904 | − | 7.91743i | 0.179458 | − | 0.429383i | ||||
\(341\) | −14.7606 | + | 6.11406i | −0.799333 | + | 0.331095i | ||||
\(342\) | −12.7556 | − | 16.2336i | −0.689745 | − | 0.877810i | ||||
\(343\) | −12.7964 | + | 12.7964i | −0.690941 | + | 0.690941i | ||||
\(344\) | −8.21095 | + | 21.9334i | −0.442705 | + | 1.18257i | ||||
\(345\) | 31.7157 | + | 19.4351i | 1.70752 | + | 1.04635i | ||||
\(346\) | −2.57815 | + | 21.4893i | −0.138602 | + | 1.15527i | ||||
\(347\) | 14.2421 | − | 5.89927i | 0.764556 | − | 0.316690i | 0.0338910 | − | 0.999426i | \(-0.489210\pi\) |
0.730665 | + | 0.682736i | \(0.239210\pi\) | |||||||
\(348\) | −7.86094 | + | 32.2896i | −0.421391 | + | 1.73090i | ||||
\(349\) | 8.50240 | + | 3.52181i | 0.455123 | + | 0.188518i | 0.598455 | − | 0.801156i | \(-0.295782\pi\) |
−0.143332 | + | 0.989675i | \(0.545782\pi\) | |||||||
\(350\) | 7.51326 | + | 8.15362i | 0.401600 | + | 0.435829i | ||||
\(351\) | −3.61102 | −0.192742 | ||||||||
\(352\) | −25.1426 | + | 4.79330i | −1.34010 | + | 0.255484i | ||||
\(353\) | 23.7299i | 1.26302i | 0.775369 | + | 0.631508i | \(0.217564\pi\) | ||||
−0.775369 | + | 0.631508i | \(0.782436\pi\) | |||||||
\(354\) | −10.0016 | − | 35.6806i | −0.531581 | − | 1.89640i | ||||
\(355\) | −2.59449 | + | 16.3816i | −0.137701 | + | 0.869444i | ||||
\(356\) | 3.49596 | − | 14.3600i | 0.185285 | − | 0.761078i | ||||
\(357\) | −9.00309 | + | 3.72920i | −0.476494 | + | 0.197370i | ||||
\(358\) | −26.5121 | − | 3.18075i | −1.40121 | − | 0.168108i | ||||
\(359\) | 21.8338 | − | 21.8338i | 1.15234 | − | 1.15234i | 0.166262 | − | 0.986082i | \(-0.446830\pi\) |
0.986082 | − | 0.166262i | \(-0.0531698\pi\) | |||||||
\(360\) | 29.1520 | + | 37.3445i | 1.53645 | + | 1.96823i | ||||
\(361\) | 10.7494 | + | 10.7494i | 0.565755 | + | 0.565755i | ||||
\(362\) | −2.16927 | − | 2.76074i | −0.114014 | − | 0.145101i | ||||
\(363\) | −11.7412 | − | 28.3459i | −0.616255 | − | 1.48777i | ||||
\(364\) | 0.628395 | + | 0.459621i | 0.0329368 | + | 0.0240907i | ||||
\(365\) | 1.87136 | − | 11.8158i | 0.0979515 | − | 0.618465i | ||||
\(366\) | 16.5602 | + | 9.30883i | 0.865615 | + | 0.486581i | ||||
\(367\) | −22.3410 | −1.16619 | −0.583096 | − | 0.812403i | \(-0.698159\pi\) | ||||
−0.583096 | + | 0.812403i | \(0.698159\pi\) | |||||||
\(368\) | −6.22372 | − | 19.5783i | −0.324434 | − | 1.02059i | ||||
\(369\) | − | 26.9524i | − | 1.40309i | ||||||
\(370\) | −15.7903 | − | 4.48038i | −0.820897 | − | 0.232924i | ||||
\(371\) | 1.24204 | − | 2.99854i | 0.0644833 | − | 0.155676i | ||||
\(372\) | −3.50623 | − | 22.6033i | −0.181790 | − | 1.17193i | ||||
\(373\) | −4.46689 | − | 10.7840i | −0.231287 | − | 0.558376i | 0.765042 | − | 0.643980i | \(-0.222718\pi\) |
−0.996329 | + | 0.0856038i | \(0.972718\pi\) | |||||||
\(374\) | −7.58591 | − | 9.65428i | −0.392258 | − | 0.499211i | ||||
\(375\) | 36.1009 | + | 2.84056i | 1.86424 | + | 0.146686i | ||||
\(376\) | 15.1698 | + | 14.1578i | 0.782322 | + | 0.730135i | ||||
\(377\) | 0.900588 | + | 0.900588i | 0.0463826 | + | 0.0463826i | ||||
\(378\) | 3.84205 | − | 32.0242i | 0.197614 | − | 1.64715i | ||||
\(379\) | 5.89190 | + | 14.2243i | 0.302647 | + | 0.730654i | 0.999904 | + | 0.0138332i | \(0.00440340\pi\) |
−0.697258 | + | 0.716821i | \(0.745597\pi\) | |||||||
\(380\) | 6.14326 | + | 6.18246i | 0.315142 | + | 0.317153i | ||||
\(381\) | −44.6976 | − | 18.5144i | −2.28993 | − | 0.948520i | ||||
\(382\) | 8.83789 | + | 31.5290i | 0.452186 | + | 1.61316i | ||||
\(383\) | 11.4609i | 0.585623i | 0.956170 | + | 0.292811i | \(0.0945908\pi\) | ||||
−0.956170 | + | 0.292811i | \(0.905409\pi\) | |||||||
\(384\) | 1.84688 | − | 36.5979i | 0.0942483 | − | 1.86763i | ||||
\(385\) | 15.4258 | − | 3.70350i | 0.786172 | − | 0.188748i | ||||
\(386\) | 35.8520 | − | 10.0497i | 1.82482 | − | 0.511516i | ||||
\(387\) | 23.7359 | − | 57.3035i | 1.20656 | − | 2.91290i | ||||
\(388\) | −9.33183 | − | 15.3376i | −0.473752 | − | 0.778651i | ||||
\(389\) | −2.69641 | − | 6.50970i | −0.136713 | − | 0.330055i | 0.840664 | − | 0.541556i | \(-0.182165\pi\) |
−0.977378 | + | 0.211501i | \(0.932165\pi\) | |||||||
\(390\) | 2.52564 | − | 0.294865i | 0.127891 | − | 0.0149311i | ||||
\(391\) | 6.96838 | − | 6.96838i | 0.352406 | − | 0.352406i | ||||
\(392\) | 8.76417 | − | 9.39058i | 0.442657 | − | 0.474296i | ||||
\(393\) | 0.359214 | − | 0.359214i | 0.0181199 | − | 0.0181199i | ||||
\(394\) | −17.7584 | − | 22.6004i | −0.894657 | − | 1.13859i | ||||
\(395\) | 7.32162 | + | 10.0772i | 0.368391 | + | 0.507040i | ||||
\(396\) | 66.9852 | − | 10.3907i | 3.36613 | − | 0.522154i | ||||
\(397\) | 4.71519 | + | 1.95310i | 0.236649 | + | 0.0980231i | 0.497856 | − | 0.867260i | \(-0.334121\pi\) |
−0.261208 | + | 0.965283i | \(0.584121\pi\) | |||||||
\(398\) | 28.0481 | + | 15.7664i | 1.40593 | + | 0.790301i | ||||
\(399\) | − | 9.89766i | − | 0.495503i | ||||||
\(400\) | −14.0519 | − | 14.2318i | −0.702595 | − | 0.711590i | ||||
\(401\) | 36.3732i | 1.81639i | 0.418548 | + | 0.908195i | \(0.362539\pi\) | ||||
−0.418548 | + | 0.908195i | \(0.637461\pi\) | |||||||
\(402\) | 3.03931 | − | 5.40686i | 0.151587 | − | 0.269670i | ||||
\(403\) | −0.809891 | − | 0.335468i | −0.0403436 | − | 0.0167108i | ||||
\(404\) | −12.5220 | − | 9.15886i | −0.622993 | − | 0.455670i | ||||
\(405\) | −32.3840 | − | 44.5722i | −1.60917 | − | 2.21481i | ||||
\(406\) | −8.94503 | + | 7.02862i | −0.443935 | + | 0.348825i | ||||
\(407\) | −16.6064 | + | 16.6064i | −0.823149 | + | 0.823149i | ||||
\(408\) | 15.9986 | − | 7.28294i | 0.792048 | − | 0.360559i | ||||
\(409\) | −11.7007 | + | 11.7007i | −0.578561 | + | 0.578561i | −0.934507 | − | 0.355946i | \(-0.884159\pi\) |
0.355946 | + | 0.934507i | \(0.384159\pi\) | |||||||
\(410\) | 1.31943 | + | 11.3014i | 0.0651618 | + | 0.558138i | ||||
\(411\) | −9.31828 | − | 22.4963i | −0.459637 | − | 1.10966i | ||||
\(412\) | −22.4666 | − | 5.46953i | −1.10685 | − | 0.269464i | ||||
\(413\) | 4.85427 | − | 11.7192i | 0.238863 | − | 0.576666i | ||||
\(414\) | 14.6850 | + | 52.3882i | 0.721726 | + | 2.57474i | ||||
\(415\) | 8.93985 | − | 2.14632i | 0.438840 | − | 0.105359i | ||||
\(416\) | −1.16144 | − | 0.789506i | −0.0569445 | − | 0.0387087i | ||||
\(417\) | − | 56.6364i | − | 2.77350i | ||||||
\(418\) | 12.0077 | − | 3.36589i | 0.587318 | − | 0.164631i | ||||
\(419\) | −21.2609 | − | 8.80654i | −1.03866 | − | 0.430227i | −0.202830 | − | 0.979214i | \(-0.565014\pi\) |
−0.835831 | + | 0.548987i | \(0.815014\pi\) | |||||||
\(420\) | −0.0722313 | + | 22.7123i | −0.00352453 | + | 1.10825i | ||||
\(421\) | 3.01400 | + | 7.27645i | 0.146894 | + | 0.354632i | 0.980151 | − | 0.198253i | \(-0.0635267\pi\) |
−0.833257 | + | 0.552885i | \(0.813527\pi\) | |||||||
\(422\) | 3.98165 | + | 0.477693i | 0.193824 | + | 0.0232537i | ||||
\(423\) | −38.8584 | − | 38.8584i | −1.88936 | − | 1.88936i | ||||
\(424\) | −2.05259 | + | 5.48295i | −0.0996827 | + | 0.266276i | ||||
\(425\) | 2.96459 | − | 9.12444i | 0.143804 | − | 0.442600i | ||||
\(426\) | −26.7152 | + | 20.9916i | −1.29435 | + | 1.01705i | ||||
\(427\) | 2.48861 | + | 6.00803i | 0.120432 | + | 0.290749i | ||||
\(428\) | −8.44471 | − | 6.17665i | −0.408191 | − | 0.298560i | ||||
\(429\) | 1.39232 | − | 3.36135i | 0.0672217 | − | 0.162288i | ||||
\(430\) | −7.14746 | + | 25.1899i | −0.344681 | + | 1.21476i | ||||
\(431\) | 19.0379i | 0.917022i | 0.888689 | + | 0.458511i | \(0.151617\pi\) | ||||
−0.888689 | + | 0.458511i | \(0.848383\pi\) | |||||||
\(432\) | −4.93434 | + | 57.9714i | −0.237404 | + | 2.78915i | ||||
\(433\) | 15.6165 | 0.750480 | 0.375240 | − | 0.926928i | \(-0.377560\pi\) | ||||
0.375240 | + | 0.926928i | \(0.377560\pi\) | |||||||
\(434\) | 3.83679 | − | 6.82556i | 0.184172 | − | 0.327637i | ||||
\(435\) | −5.81215 | + | 36.6979i | −0.278671 | + | 1.75953i | ||||
\(436\) | −1.86525 | − | 12.0246i | −0.0893293 | − | 0.575872i | ||||
\(437\) | 3.83039 | + | 9.24737i | 0.183232 | + | 0.442362i | ||||
\(438\) | 19.2692 | − | 15.1409i | 0.920718 | − | 0.723460i | ||||
\(439\) | −12.2988 | − | 12.2988i | −0.586988 | − | 0.586988i | 0.349827 | − | 0.936814i | \(-0.386240\pi\) |
−0.936814 | + | 0.349827i | \(0.886240\pi\) | |||||||
\(440\) | −27.5789 | + | 7.63613i | −1.31477 | + | 0.364038i | ||||
\(441\) | −24.0546 | + | 24.0546i | −1.14546 | + | 1.14546i | ||||
\(442\) | 0.0802479 | − | 0.668881i | 0.00381701 | − | 0.0318154i | ||||
\(443\) | −22.4589 | + | 9.30278i | −1.06705 | + | 0.441989i | −0.845950 | − | 0.533262i | \(-0.820966\pi\) |
−0.221104 | + | 0.975250i | \(0.570966\pi\) | |||||||
\(444\) | −17.4766 | − | 28.7242i | −0.829401 | − | 1.36319i | ||||
\(445\) | 2.58481 | − | 16.3205i | 0.122532 | − | 0.773664i | ||||
\(446\) | −25.6748 | + | 7.19691i | −1.21574 | + | 0.340783i | ||||
\(447\) | 65.2672i | 3.08703i | ||||||||
\(448\) | 8.23746 | − | 9.46020i | 0.389183 | − | 0.446953i | ||||
\(449\) | 12.3908 | 0.584760 | 0.292380 | − | 0.956302i | \(-0.405553\pi\) | ||||
0.292380 | + | 0.956302i | \(0.405553\pi\) | |||||||
\(450\) | 35.8929 | + | 38.9521i | 1.69201 | + | 1.83622i | ||||
\(451\) | 15.0410 | + | 6.23017i | 0.708251 | + | 0.293367i | ||||
\(452\) | 28.2587 | − | 17.1934i | 1.32918 | − | 0.808708i | ||||
\(453\) | −33.3317 | + | 13.8065i | −1.56606 | + | 0.648684i | ||||
\(454\) | −7.02395 | − | 0.842688i | −0.329650 | − | 0.0395493i | ||||
\(455\) | 0.742174 | + | 0.454799i | 0.0347937 | + | 0.0213213i | ||||
\(456\) | 0.615670 | + | 17.8433i | 0.0288314 | + | 0.835587i | ||||
\(457\) | 3.47830 | − | 3.47830i | 0.162708 | − | 0.162708i | −0.621057 | − | 0.783765i | \(-0.713297\pi\) |
0.783765 | + | 0.621057i | \(0.213297\pi\) | |||||||
\(458\) | 5.92637 | − | 4.65669i | 0.276921 | − | 0.217593i | ||||
\(459\) | −25.7849 | + | 10.6804i | −1.20354 | + | 0.498521i | ||||
\(460\) | −8.72216 | − | 21.2480i | −0.406673 | − | 0.990694i | ||||
\(461\) | −3.21021 | + | 7.75012i | −0.149514 | + | 0.360959i | −0.980837 | − | 0.194831i | \(-0.937584\pi\) |
0.831323 | + | 0.555790i | \(0.187584\pi\) | |||||||
\(462\) | 28.3286 | + | 15.9241i | 1.31797 | + | 0.740857i | ||||
\(463\) | 7.17604 | 0.333499 | 0.166749 | − | 0.985999i | \(-0.446673\pi\) | ||||
0.166749 | + | 0.985999i | \(0.446673\pi\) | |||||||
\(464\) | 15.6887 | − | 13.2274i | 0.728329 | − | 0.614068i | ||||
\(465\) | −5.97017 | − | 24.8669i | −0.276860 | − | 1.15318i | ||||
\(466\) | −32.4007 | − | 18.2131i | −1.50093 | − | 0.843707i | ||||
\(467\) | −13.0655 | − | 5.41189i | −0.604598 | − | 0.250432i | 0.0593191 | − | 0.998239i | \(-0.481107\pi\) |
−0.663917 | + | 0.747807i | \(0.731107\pi\) | |||||||
\(468\) | 3.00201 | + | 2.19574i | 0.138768 | + | 0.101498i | ||||
\(469\) | 1.96161 | − | 0.812524i | 0.0905786 | − | 0.0375189i | ||||
\(470\) | 18.1960 | + | 14.3915i | 0.839319 | + | 0.663828i | ||||
\(471\) | −20.2261 | − | 20.2261i | −0.931970 | − | 0.931970i | ||||
\(472\) | −8.02218 | + | 21.4291i | −0.369251 | + | 0.986355i | ||||
\(473\) | 26.4919 | + | 26.4919i | 1.21810 | + | 1.21810i | ||||
\(474\) | −3.03949 | + | 25.3346i | −0.139608 | + | 1.16366i | ||||
\(475\) | 7.40976 | + | 6.32838i | 0.339983 | + | 0.290366i | ||||
\(476\) | 5.84656 | + | 1.42335i | 0.267977 | + | 0.0652392i | ||||
\(477\) | 5.93354 | − | 14.3248i | 0.271678 | − | 0.655889i | ||||
\(478\) | −25.7368 | + | 7.21428i | −1.17717 | + | 0.329973i | ||||
\(479\) | 14.4463 | 0.660068 | 0.330034 | − | 0.943969i | \(-0.392940\pi\) | ||||
0.330034 | + | 0.943969i | \(0.392940\pi\) | |||||||
\(480\) | −1.28257 | − | 40.9497i | −0.0585410 | − | 1.86909i | ||||
\(481\) | −1.28858 | −0.0587543 | ||||||||
\(482\) | −28.8899 | + | 8.09813i | −1.31590 | + | 0.368860i | ||||
\(483\) | −9.98175 | + | 24.0981i | −0.454185 | + | 1.09650i | ||||
\(484\) | −4.48136 | + | 18.4076i | −0.203698 | + | 0.836711i | ||||
\(485\) | −11.7985 | − | 16.2390i | −0.535740 | − | 0.737374i | ||||
\(486\) | 6.09296 | − | 50.7859i | 0.276382 | − | 2.30369i | ||||
\(487\) | −22.6108 | − | 22.6108i | −1.02459 | − | 1.02459i | −0.999690 | − | 0.0249022i | \(-0.992073\pi\) |
−0.0249022 | − | 0.999690i | \(-0.507927\pi\) | |||||||
\(488\) | −4.86012 | − | 10.6763i | −0.220007 | − | 0.483295i | ||||
\(489\) | 20.5672 | + | 20.5672i | 0.930083 | + | 0.930083i | ||||
\(490\) | 8.90878 | − | 11.2639i | 0.402458 | − | 0.508852i | ||||
\(491\) | 5.48701 | − | 2.27280i | 0.247625 | − | 0.102570i | −0.255419 | − | 0.966831i | \(-0.582213\pi\) |
0.503044 | + | 0.864261i | \(0.332213\pi\) | |||||||
\(492\) | −13.7601 | + | 18.8129i | −0.620355 | + | 0.848150i | ||||
\(493\) | 9.09445 | + | 3.76704i | 0.409593 | + | 0.169659i | ||||
\(494\) | 0.596462 | + | 0.335284i | 0.0268361 | + | 0.0150852i | ||||
\(495\) | 73.6933 | − | 17.6926i | 3.31227 | − | 0.795225i | ||||
\(496\) | −6.49230 | + | 12.5436i | −0.291513 | + | 0.563225i | ||||
\(497\) | −11.6304 | −0.521696 | ||||||||
\(498\) | 16.4175 | + | 9.22864i | 0.735687 | + | 0.413545i | ||||
\(499\) | 8.04441 | − | 19.4209i | 0.360117 | − | 0.869400i | −0.635165 | − | 0.772377i | \(-0.719068\pi\) |
0.995282 | − | 0.0970234i | \(-0.0309322\pi\) | |||||||
\(500\) | −16.9571 | − | 14.5759i | −0.758344 | − | 0.651854i | ||||
\(501\) | 42.9661 | − | 17.7971i | 1.91958 | − | 0.795117i | ||||
\(502\) | 11.3782 | − | 8.94053i | 0.507836 | − | 0.399035i | ||||
\(503\) | 11.3902 | − | 11.3902i | 0.507862 | − | 0.507862i | −0.406007 | − | 0.913870i | \(-0.633079\pi\) |
0.913870 | + | 0.406007i | \(0.133079\pi\) | |||||||
\(504\) | −22.6669 | + | 24.2870i | −1.00966 | + | 1.08183i | ||||
\(505\) | −14.7893 | − | 9.06276i | −0.658114 | − | 0.403288i | ||||
\(506\) | −32.6300 | − | 3.91474i | −1.45058 | − | 0.174031i | ||||
\(507\) | −38.7167 | + | 16.0370i | −1.71947 | + | 0.712227i | ||||
\(508\) | 15.5280 | + | 25.5215i | 0.688943 | + | 1.13234i | ||||
\(509\) | −5.87100 | − | 2.43185i | −0.260227 | − | 0.107790i | 0.248756 | − | 0.968566i | \(-0.419978\pi\) |
−0.508983 | + | 0.860777i | \(0.669978\pi\) | |||||||
\(510\) | 17.1625 | − | 9.57570i | 0.759968 | − | 0.424019i | ||||
\(511\) | 8.38882 | 0.371100 | ||||||||
\(512\) | −14.2618 | + | 17.5670i | −0.630290 | + | 0.776360i | ||||
\(513\) | − | 28.3469i | − | 1.25155i | ||||||
\(514\) | −20.8168 | + | 5.83517i | −0.918192 | + | 0.257378i | ||||
\(515\) | −25.5338 | − | 4.04401i | −1.12516 | − | 0.178200i | ||||
\(516\) | −45.8231 | + | 27.8800i | −2.01725 | + | 1.22735i | ||||
\(517\) | 30.6674 | − | 12.7029i | 1.34875 | − | 0.558672i | ||||
\(518\) | 1.37103 | − | 11.4277i | 0.0602394 | − | 0.502106i | ||||
\(519\) | −35.0509 | + | 35.0509i | −1.53856 | + | 1.53856i | ||||
\(520\) | −1.36626 | − | 0.773734i | −0.0599146 | − | 0.0339305i | ||||
\(521\) | 22.5895 | + | 22.5895i | 0.989663 | + | 0.989663i | 0.999947 | − | 0.0102837i | \(-0.00327345\pi\) |
−0.0102837 | + | 0.999947i | \(0.503273\pi\) | |||||||
\(522\) | −42.7329 | + | 33.5776i | −1.87037 | + | 1.46965i | ||||
\(523\) | 9.50265 | + | 22.9414i | 0.415522 | + | 1.00316i | 0.983629 | + | 0.180204i | \(0.0576758\pi\) |
−0.568108 | + | 0.822954i | \(0.692324\pi\) | |||||||
\(524\) | −0.309979 | + | 0.0480839i | −0.0135415 | + | 0.00210055i | ||||
\(525\) | 1.99263 | + | 25.3149i | 0.0869654 | + | 1.10483i | ||||
\(526\) | −0.220482 | + | 0.392233i | −0.00961349 | + | 0.0171022i | ||||
\(527\) | −6.77534 | −0.295138 | ||||||||
\(528\) | −52.0607 | − | 26.9455i | −2.26565 | − | 1.17265i | ||||
\(529\) | − | 3.37774i | − | 0.146858i | ||||||
\(530\) | −1.78674 | + | 6.29702i | −0.0776109 | + | 0.273525i | ||||
\(531\) | 23.1902 | − | 55.9860i | 1.00637 | − | 2.42959i | ||||
\(532\) | −3.60808 | + | 4.93297i | −0.156430 | + | 0.213871i | ||||
\(533\) | 0.341839 | + | 0.825272i | 0.0148067 | + | 0.0357465i | ||||
\(534\) | 26.6155 | − | 20.9133i | 1.15177 | − | 0.905008i | ||||
\(535\) | −9.97375 | − | 6.11184i | −0.431203 | − | 0.264238i | ||||
\(536\) | −3.48579 | + | 1.58682i | −0.150563 | + | 0.0685401i | ||||
\(537\) | −43.2435 | − | 43.2435i | −1.86610 | − | 1.86610i | ||||
\(538\) | 39.1084 | + | 4.69197i | 1.68608 | + | 0.202285i | ||||
\(539\) | −7.86349 | − | 18.9841i | −0.338704 | − | 0.817705i | ||||
\(540\) | −0.206871 | + | 65.0480i | −0.00890230 | + | 2.79922i | ||||
\(541\) | 16.8094 | + | 6.96270i | 0.722695 | + | 0.299350i | 0.713546 | − | 0.700608i | \(-0.247088\pi\) |
0.00914852 | + | 0.999958i | \(0.497088\pi\) | |||||||
\(542\) | 8.12909 | − | 2.27867i | 0.349175 | − | 0.0978772i | ||||
\(543\) | − | 8.04125i | − | 0.345083i | ||||||
\(544\) | −10.6286 | − | 2.20231i | −0.455696 | − | 0.0944231i | ||||
\(545\) | −3.17602 | − | 13.2287i | −0.136046 | − | 0.566657i | ||||
\(546\) | 0.481266 | + | 1.71691i | 0.0205963 | + | 0.0734768i | ||||
\(547\) | 3.38844 | − | 8.18042i | 0.144879 | − | 0.349769i | −0.834737 | − | 0.550649i | \(-0.814380\pi\) |
0.979616 | + | 0.200880i | \(0.0643801\pi\) | |||||||
\(548\) | −3.55657 | + | 14.6090i | −0.151929 | + | 0.624065i | ||||
\(549\) | 11.8888 | + | 28.7020i | 0.507400 | + | 1.22497i | ||||
\(550\) | −30.0342 | + | 11.0263i | −1.28066 | + | 0.470162i | ||||
\(551\) | −7.06971 | + | 7.06971i | −0.301180 | + | 0.301180i | ||||
\(552\) | 16.4959 | − | 44.0643i | 0.702110 | − | 1.87550i | ||||
\(553\) | −6.17632 | + | 6.17632i | −0.262644 | + | 0.262644i | ||||
\(554\) | 29.5364 | − | 23.2084i | 1.25488 | − | 0.986031i | ||||
\(555\) | −22.0960 | − | 30.4122i | −0.937924 | − | 1.29093i | ||||
\(556\) | −20.6462 | + | 28.2274i | −0.875593 | + | 1.19711i | ||||
\(557\) | 7.38272 | + | 3.05802i | 0.312816 | + | 0.129573i | 0.533568 | − | 0.845757i | \(-0.320851\pi\) |
−0.220752 | + | 0.975330i | \(0.570851\pi\) | |||||||
\(558\) | 18.3294 | − | 32.6075i | 0.775945 | − | 1.38039i | ||||
\(559\) | 2.05565i | 0.0869447i | ||||||||
\(560\) | 8.31551 | − | 11.2934i | 0.351394 | − | 0.477234i | ||||
\(561\) | − | 28.1202i | − | 1.18724i | ||||||
\(562\) | −7.60231 | − | 4.27342i | −0.320684 | − | 0.180263i | ||||
\(563\) | −24.6682 | − | 10.2179i | −1.03964 | − | 0.430634i | −0.203458 | − | 0.979084i | \(-0.565218\pi\) |
−0.836183 | + | 0.548450i | \(0.815218\pi\) | |||||||
\(564\) | 7.28472 | + | 46.9619i | 0.306742 | + | 1.97745i | ||||
\(565\) | 29.9194 | − | 21.7380i | 1.25872 | − | 0.914523i | ||||
\(566\) | −0.215946 | − | 0.274825i | −0.00907688 | − | 0.0115518i | ||||
\(567\) | 27.3183 | − | 27.3183i | 1.14726 | − | 1.14726i | ||||
\(568\) | 20.9670 | − | 0.723454i | 0.879757 | − | 0.0303555i | ||||
\(569\) | 23.2386 | − | 23.2386i | 0.974212 | − | 0.974212i | −0.0254642 | − | 0.999676i | \(-0.508106\pi\) |
0.999676 | + | 0.0254642i | \(0.00810639\pi\) | |||||||
\(570\) | 2.31473 | + | 19.8266i | 0.0969532 | + | 0.830444i | ||||
\(571\) | −16.0535 | − | 38.7567i | −0.671820 | − | 1.62192i | −0.778516 | − | 0.627625i | \(-0.784027\pi\) |
0.106696 | − | 0.994292i | \(-0.465973\pi\) | |||||||
\(572\) | −1.91927 | + | 1.16774i | −0.0802487 | + | 0.0488255i | ||||
\(573\) | −28.6987 | + | 69.2849i | −1.19891 | + | 2.89442i | ||||
\(574\) | −7.68260 | + | 2.15351i | −0.320665 | + | 0.0898858i | ||||
\(575\) | −11.6586 | − | 22.8806i | −0.486196 | − | 0.954186i | ||||
\(576\) | 39.3526 | − | 45.1940i | 1.63969 | − | 1.88308i | ||||
\(577\) | 11.8847i | 0.494766i | 0.968918 | + | 0.247383i | \(0.0795705\pi\) | ||||
−0.968918 | + | 0.247383i | \(0.920429\pi\) | |||||||
\(578\) | 5.08365 | + | 18.1358i | 0.211452 | + | 0.754350i | ||||
\(579\) | 78.7848 | + | 32.6337i | 3.27418 | + | 1.35621i | ||||
\(580\) | 16.2746 | − | 16.1714i | 0.675765 | − | 0.671480i | ||||
\(581\) | 2.46717 | + | 5.95627i | 0.102355 | + | 0.247108i | ||||
\(582\) | 4.89799 | − | 40.8256i | 0.203028 | − | 1.69228i | ||||
\(583\) | 6.62249 | + | 6.62249i | 0.274276 | + | 0.274276i | ||||
\(584\) | −15.1232 | + | 0.521815i | −0.625801 | + | 0.0215929i | ||||
\(585\) | 3.54557 | + | 2.17270i | 0.146591 | + | 0.0898300i | ||||
\(586\) | 11.4559 | + | 14.5794i | 0.473238 | + | 0.602270i | ||||
\(587\) | −1.65474 | − | 3.99490i | −0.0682986 | − | 0.164887i | 0.886044 | − | 0.463600i | \(-0.153443\pi\) |
−0.954343 | + | 0.298713i | \(0.903443\pi\) | |||||||
\(588\) | 29.0709 | − | 4.50948i | 1.19886 | − | 0.185968i | ||||
\(589\) | 2.63346 | − | 6.35773i | 0.108510 | − | 0.261966i | ||||
\(590\) | −6.98313 | + | 24.6107i | −0.287491 | + | 1.01321i | ||||
\(591\) | − | 65.8287i | − | 2.70783i | ||||||
\(592\) | −1.76081 | + | 20.6869i | −0.0723687 | + | 0.850228i | ||||
\(593\) | −5.41135 | −0.222218 | −0.111109 | − | 0.993808i | \(-0.535440\pi\) | ||||
−0.111109 | + | 0.993808i | \(0.535440\pi\) | |||||||
\(594\) | 81.1332 | + | 45.6067i | 3.32894 | + | 1.87127i | ||||
\(595\) | 6.64475 | + | 1.05238i | 0.272408 | + | 0.0431436i | ||||
\(596\) | 23.7924 | − | 32.5290i | 0.974576 | − | 1.33244i | ||||
\(597\) | 28.2005 | + | 68.0819i | 1.15417 | + | 2.78641i | ||||
\(598\) | −1.11409 | − | 1.41785i | −0.0455585 | − | 0.0579804i | ||||
\(599\) | 29.2738 | + | 29.2738i | 1.19610 | + | 1.19610i | 0.975326 | + | 0.220770i | \(0.0708571\pi\) |
0.220770 | + | 0.975326i | \(0.429143\pi\) | |||||||
\(600\) | −5.16694 | − | 45.5132i | −0.210940 | − | 1.85807i | ||||
\(601\) | −17.4678 | + | 17.4678i | −0.712528 | + | 0.712528i | −0.967064 | − | 0.254535i | \(-0.918078\pi\) |
0.254535 | + | 0.967064i | \(0.418078\pi\) | |||||||
\(602\) | −18.2304 | − | 2.18717i | −0.743017 | − | 0.0891424i | ||||
\(603\) | 9.37113 | − | 3.88165i | 0.381622 | − | 0.158073i | ||||
\(604\) | 21.6454 | + | 5.26961i | 0.880740 | + | 0.214417i | ||||
\(605\) | −3.31339 | + | 20.9207i | −0.134708 | + | 0.850548i | ||||
\(606\) | −9.59018 | − | 34.2127i | −0.389574 | − | 1.38980i | ||||
\(607\) | − | 21.2575i | − | 0.862815i | −0.902157 | − | 0.431408i | \(-0.858017\pi\) | ||
0.902157 | − | 0.431408i | \(-0.141983\pi\) | |||||||
\(608\) | 6.19771 | − | 9.11747i | 0.251350 | − | 0.369762i | ||||
\(609\) | −26.0544 | −1.05578 | ||||||||
\(610\) | −6.39015 | − | 11.4530i | −0.258730 | − | 0.463720i | ||||
\(611\) | 1.68267 | + | 0.696985i | 0.0680736 | + | 0.0281970i | ||||
\(612\) | 27.9306 | + | 6.79974i | 1.12903 | + | 0.274863i | ||||
\(613\) | 37.6123 | − | 15.5795i | 1.51914 | − | 0.629250i | 0.541725 | − | 0.840556i | \(-0.317771\pi\) |
0.977420 | + | 0.211305i | \(0.0677715\pi\) | |||||||
\(614\) | 1.39617 | − | 11.6373i | 0.0563447 | − | 0.469643i | ||||
\(615\) | −13.6158 | + | 22.2192i | −0.549041 | + | 0.895965i | ||||
\(616\) | −8.31395 | − | 18.2634i | −0.334979 | − | 0.735854i | ||||
\(617\) | −1.34494 | + | 1.34494i | −0.0541452 | + | 0.0541452i | −0.733661 | − | 0.679516i | \(-0.762190\pi\) |
0.679516 | + | 0.733661i | \(0.262190\pi\) | |||||||
\(618\) | −32.7195 | − | 41.6407i | −1.31617 | − | 1.67504i | ||||
\(619\) | −11.4734 | + | 4.75245i | −0.461156 | + | 0.191017i | −0.601151 | − | 0.799135i | \(-0.705291\pi\) |
0.139996 | + | 0.990152i | \(0.455291\pi\) | |||||||
\(620\) | −6.08943 | + | 14.5700i | −0.244558 | + | 0.585144i | ||||
\(621\) | −28.5877 | + | 69.0169i | −1.14719 | + | 2.76955i | ||||
\(622\) | 5.44401 | − | 9.68475i | 0.218285 | − | 0.388323i | ||||
\(623\) | 11.5870 | 0.464225 | ||||||||
\(624\) | −0.974413 | − | 3.06526i | −0.0390077 | − | 0.122709i | ||||
\(625\) | −20.2258 | − | 14.6942i | −0.809031 | − | 0.587766i | ||||
\(626\) | −2.75988 | + | 4.90975i | −0.110307 | + | 0.196233i | ||||
\(627\) | 26.3870 | + | 10.9298i | 1.05379 | + | 0.436496i | ||||
\(628\) | 2.70744 | + | 17.4538i | 0.108039 | + | 0.696484i | ||||
\(629\) | −9.20126 | + | 3.81129i | −0.366878 | + | 0.151966i | ||||
\(630\) | −23.0409 | + | 29.1320i | −0.917971 | + | 1.16065i | ||||
\(631\) | 13.2287 | + | 13.2287i | 0.526626 | + | 0.526626i | 0.919565 | − | 0.392939i | \(-0.128542\pi\) |
−0.392939 | + | 0.919565i | \(0.628542\pi\) | |||||||
\(632\) | 10.7503 | − | 11.5187i | 0.427625 | − | 0.458190i | ||||
\(633\) | 6.49441 | + | 6.49441i | 0.258130 | + | 0.258130i | ||||
\(634\) | 1.29726 | + | 0.155637i | 0.0515209 | + | 0.00618114i | ||||
\(635\) | 19.6324 | + | 27.0213i | 0.779088 | + | 1.07231i | ||||
\(636\) | −11.4550 | + | 6.96950i | −0.454218 | + | 0.276359i | ||||
\(637\) | 0.431456 | − | 1.04163i | 0.0170949 | − | 0.0412708i | ||||
\(638\) | −8.86030 | − | 31.6089i | −0.350783 | − | 1.25141i | ||||
\(639\) | −55.5617 | −2.19799 | ||||||||
\(640\) | −14.2885 | + | 20.8767i | −0.564803 | + | 0.825226i | ||||
\(641\) | −27.5272 | −1.08726 | −0.543629 | − | 0.839326i | \(-0.682950\pi\) | ||||
−0.543629 | + | 0.839326i | \(0.682950\pi\) | |||||||
\(642\) | −6.46752 | − | 23.0727i | −0.255253 | − | 0.910608i | ||||
\(643\) | 5.01605 | − | 12.1098i | 0.197814 | − | 0.477564i | −0.793582 | − | 0.608463i | \(-0.791786\pi\) |
0.991396 | + | 0.130899i | \(0.0417863\pi\) | |||||||
\(644\) | 13.7596 | − | 8.37168i | 0.542202 | − | 0.329890i | ||||
\(645\) | −48.5159 | + | 35.2493i | −1.91031 | + | 1.38794i | ||||
\(646\) | 5.25079 | + | 0.629955i | 0.206589 | + | 0.0247853i | ||||
\(647\) | 23.8449 | + | 23.8449i | 0.937440 | + | 0.937440i | 0.998155 | − | 0.0607154i | \(-0.0193382\pi\) |
−0.0607154 | + | 0.998155i | \(0.519338\pi\) | |||||||
\(648\) | −47.5494 | + | 50.9480i | −1.86792 | + | 2.00143i | ||||
\(649\) | 25.8828 | + | 25.8828i | 1.01599 | + | 1.01599i | ||||
\(650\) | −1.59305 | − | 0.737465i | −0.0624847 | − | 0.0289257i | ||||
\(651\) | 16.5679 | − | 6.86263i | 0.649345 | − | 0.268968i | ||||
\(652\) | −2.75310 | − | 17.7482i | −0.107820 | − | 0.695074i | ||||
\(653\) | −25.8492 | − | 10.7071i | −1.01156 | − | 0.419000i | −0.185534 | − | 0.982638i | \(-0.559401\pi\) |
−0.826022 | + | 0.563638i | \(0.809401\pi\) | |||||||
\(654\) | 13.6561 | − | 24.2938i | 0.533995 | − | 0.949963i | ||||
\(655\) | −0.341021 | + | 0.0818740i | −0.0133248 | + | 0.00319908i | ||||
\(656\) | 13.7160 | − | 4.36018i | 0.535521 | − | 0.170236i | ||||
\(657\) | 40.0757 | 1.56350 | ||||||||
\(658\) | −7.97151 | + | 14.1811i | −0.310762 | + | 0.552838i | ||||
\(659\) | 12.0853 | − | 29.1765i | 0.470776 | − | 1.13655i | −0.493045 | − | 0.870004i | \(-0.664116\pi\) |
0.963821 | − | 0.266550i | \(-0.0858837\pi\) | |||||||
\(660\) | −60.4708 | − | 25.2734i | −2.35382 | − | 0.983767i | ||||
\(661\) | −9.01626 | + | 3.73466i | −0.350692 | + | 0.145261i | −0.551074 | − | 0.834457i | \(-0.685782\pi\) |
0.200382 | + | 0.979718i | \(0.435782\pi\) | |||||||
\(662\) | 12.8091 | + | 16.3016i | 0.497839 | + | 0.633579i | ||||
\(663\) | 1.09100 | − | 1.09100i | 0.0423710 | − | 0.0423710i | ||||
\(664\) | −4.81825 | − | 10.5844i | −0.186985 | − | 0.410753i | ||||
\(665\) | −3.57022 | + | 5.82615i | −0.138447 | + | 0.225928i | ||||
\(666\) | 6.54977 | − | 54.5934i | 0.253798 | − | 2.11545i | ||||
\(667\) | 24.3426 | − | 10.0830i | 0.942549 | − | 0.390416i | ||||
\(668\) | −27.9019 | − | 6.79276i | −1.07956 | − | 0.262820i | ||||
\(669\) | −56.4203 | − | 23.3701i | −2.18133 | − | 0.903538i | ||||
\(670\) | −3.73939 | + | 2.08637i | −0.144465 | + | 0.0806034i | ||||
\(671\) | −18.7654 | −0.724432 | ||||||||
\(672\) | 28.2209 | − | 5.38017i | 1.08864 | − | 0.207544i | ||||
\(673\) | − | 7.29415i | − | 0.281169i | −0.990069 | − | 0.140584i | \(-0.955102\pi\) | ||
0.990069 | − | 0.140584i | \(-0.0448981\pi\) | |||||||
\(674\) | 3.55770 | + | 12.6920i | 0.137037 | + | 0.488877i | ||||
\(675\) | 5.70689 | + | 72.5020i | 0.219658 | + | 2.79060i | ||||
\(676\) | 25.1424 | + | 6.12094i | 0.967015 | + | 0.235421i | ||||
\(677\) | −37.9662 | + | 15.7261i | −1.45916 | + | 0.604404i | −0.964358 | − | 0.264600i | \(-0.914760\pi\) |
−0.494803 | + | 0.869005i | \(0.664760\pi\) | |||||||
\(678\) | 75.2188 | + | 9.02427i | 2.88876 | + | 0.346575i | ||||
\(679\) | 9.95286 | − | 9.95286i | 0.381956 | − | 0.381956i | ||||
\(680\) | −12.0445 | − | 1.48389i | −0.461884 | − | 0.0569044i | ||||
\(681\) | −11.4566 | − | 11.4566i | −0.439020 | − | 0.439020i | ||||
\(682\) | 13.9599 | + | 17.7662i | 0.534552 | + | 0.680303i | ||||
\(683\) | −7.25600 | − | 17.5175i | −0.277643 | − | 0.670290i | 0.722126 | − | 0.691761i | \(-0.243165\pi\) |
−0.999769 | + | 0.0214711i | \(0.993165\pi\) | |||||||
\(684\) | −17.2368 | + | 23.5661i | −0.659065 | + | 0.901073i | ||||
\(685\) | −2.62963 | + | 16.6035i | −0.100473 | + | 0.634385i | ||||
\(686\) | 22.3097 | + | 12.5407i | 0.851787 | + | 0.478808i | ||||
\(687\) | 17.2619 | 0.658581 | ||||||||
\(688\) | 33.0014 | + | 2.80898i | 1.25817 | + | 0.107091i | ||||
\(689\) | 0.513876i | 0.0195771i | ||||||||
\(690\) | 14.3593 | − | 50.6066i | 0.546649 | − | 1.92656i | ||||
\(691\) | −18.7477 | + | 45.2609i | −0.713196 | + | 1.72181i | −0.0213397 | + | 0.999772i | \(0.506793\pi\) |
−0.691856 | + | 0.722035i | \(0.743207\pi\) | |||||||
\(692\) | 30.2467 | − | 4.69187i | 1.14981 | − | 0.178358i | ||||
\(693\) | 20.3375 | + | 49.0990i | 0.772556 | + | 1.86511i | ||||
\(694\) | −13.4695 | − | 17.1421i | −0.511295 | − | 0.650704i | ||||
\(695\) | −20.4295 | + | 33.3384i | −0.774937 | + | 1.26460i | ||||
\(696\) | 46.9702 | − | 1.62068i | 1.78040 | − | 0.0614316i | ||||
\(697\) | 4.88187 | + | 4.88187i | 0.184914 | + | 0.184914i | ||||
\(698\) | 1.55033 | − | 12.9222i | 0.0586808 | − | 0.489114i | ||||
\(699\) | −32.5767 | − | 78.6471i | −1.23216 | − | 2.97471i | ||||
\(700\) | 8.23515 | − | 13.3433i | 0.311260 | − | 0.504329i | ||||
\(701\) | 41.0788 | + | 17.0154i | 1.55152 | + | 0.642662i | 0.983591 | − | 0.180413i | \(-0.0577433\pi\) |
0.567933 | + | 0.823075i | \(0.307743\pi\) | |||||||
\(702\) | 1.37835 | + | 4.91722i | 0.0520224 | + | 0.185589i | ||||
\(703\) | − | 10.1155i | − | 0.381514i | ||||||
\(704\) | 16.1242 | + | 32.4077i | 0.607705 | + | 1.22141i | ||||
\(705\) | 12.4039 | + | 51.6647i | 0.467159 | + | 1.94581i | ||||
\(706\) | 32.3137 | − | 9.05785i | 1.21614 | − | 0.340897i | ||||
\(707\) | 4.65457 | − | 11.2371i | 0.175053 | − | 0.422615i | ||||
\(708\) | −44.7696 | + | 27.2390i | −1.68254 | + | 1.02370i | ||||
\(709\) | 5.04952 | + | 12.1906i | 0.189639 | + | 0.457828i | 0.989890 | − | 0.141836i | \(-0.0453007\pi\) |
−0.800252 | + | 0.599665i | \(0.795301\pi\) | |||||||
\(710\) | 23.2976 | − | 2.71996i | 0.874342 | − | 0.102078i | ||||
\(711\) | −29.5060 | + | 29.5060i | −1.10656 | + | 1.10656i | ||||
\(712\) | −20.8888 | + | 0.720756i | −0.782842 | + | 0.0270115i | ||||
\(713\) | −12.8235 | + | 12.8235i | −0.480244 | + | 0.480244i | ||||
\(714\) | 8.51469 | + | 10.8363i | 0.318654 | + | 0.405538i | ||||
\(715\) | −2.03206 | + | 1.47640i | −0.0759947 | + | 0.0552141i | ||||
\(716\) | 5.78852 | + | 37.3164i | 0.216327 | + | 1.39458i | ||||
\(717\) | −56.5565 | − | 23.4265i | −2.11214 | − | 0.874877i | ||||
\(718\) | −38.0658 | − | 21.3976i | −1.42060 | − | 0.798551i | ||||
\(719\) | 34.8987i | 1.30150i | 0.759292 | + | 0.650750i | \(0.225546\pi\) | ||||
−0.759292 | + | 0.650750i | \(0.774454\pi\) | |||||||
\(720\) | 39.7255 | − | 53.9517i | 1.48048 | − | 2.01066i | ||||
\(721\) | − | 18.1282i | − | 0.675131i | ||||||
\(722\) | 10.5346 | − | 18.7408i | 0.392057 | − | 0.697459i | ||||
\(723\) | −63.4855 | − | 26.2965i | −2.36105 | − | 0.977979i | ||||
\(724\) | −2.93135 | + | 4.00774i | −0.108943 | + | 0.148947i | ||||
\(725\) | 16.6587 | − | 19.5053i | 0.618689 | − | 0.724408i | ||||
\(726\) | −34.1176 | + | 26.8082i | −1.26622 | + | 0.994944i | ||||
\(727\) | 11.4015 | − | 11.4015i | 0.422859 | − | 0.422859i | −0.463328 | − | 0.886187i | \(-0.653345\pi\) |
0.886187 | + | 0.463328i | \(0.153345\pi\) | |||||||
\(728\) | 0.386017 | − | 1.03114i | 0.0143067 | − | 0.0382167i | ||||
\(729\) | 30.5688 | − | 30.5688i | 1.13218 | − | 1.13218i | ||||
\(730\) | −16.8041 | + | 1.96186i | −0.621949 | + | 0.0726117i | ||||
\(731\) | 6.08007 | + | 14.6786i | 0.224879 | + | 0.542907i | ||||
\(732\) | 6.35497 | − | 26.1037i | 0.234887 | − | 0.964820i | ||||
\(733\) | 15.0396 | − | 36.3087i | 0.555498 | − | 1.34109i | −0.357799 | − | 0.933799i | \(-0.616473\pi\) |
0.913297 | − | 0.407293i | \(-0.133527\pi\) | |||||||
\(734\) | 8.52771 | + | 30.4224i | 0.314763 | + | 1.12291i | ||||
\(735\) | 31.9822 | − | 7.67844i | 1.17968 | − | 0.283223i | ||||
\(736\) | −24.2846 | + | 15.9482i | −0.895144 | + | 0.587857i | ||||
\(737\) | 6.12687i | 0.225686i | ||||||||
\(738\) | −36.7019 | + | 10.2879i | −1.35101 | + | 0.378703i | ||||
\(739\) | −10.3322 | − | 4.27973i | −0.380076 | − | 0.157432i | 0.184462 | − | 0.982840i | \(-0.440946\pi\) |
−0.564538 | + | 0.825407i | \(0.690946\pi\) | |||||||
\(740\) | −0.0738212 | + | 23.2122i | −0.00271372 | + | 0.853298i | ||||
\(741\) | 0.599702 | + | 1.44781i | 0.0220306 | + | 0.0531866i | ||||
\(742\) | −4.55729 | − | 0.546753i | −0.167303 | − | 0.0200719i | ||||
\(743\) | 25.7144 | + | 25.7144i | 0.943369 | + | 0.943369i | 0.998480 | − | 0.0551116i | \(-0.0175514\pi\) |
−0.0551116 | + | 0.998480i | \(0.517551\pi\) | |||||||
\(744\) | −29.4412 | + | 13.4024i | −1.07937 | + | 0.491354i | ||||
\(745\) | 23.5428 | − | 38.4188i | 0.862541 | − | 1.40756i | ||||
\(746\) | −12.9799 | + | 10.1990i | −0.475227 | + | 0.373413i | ||||
\(747\) | 11.7863 | + | 28.4547i | 0.431240 | + | 1.04110i | ||||
\(748\) | −10.2509 | + | 14.0150i | −0.374810 | + | 0.512440i | ||||
\(749\) | 3.13899 | − | 7.57820i | 0.114696 | − | 0.276902i | ||||
\(750\) | −9.91186 | − | 50.2438i | −0.361930 | − | 1.83464i | ||||
\(751\) | − | 22.1568i | − | 0.808513i | −0.914646 | − | 0.404256i | \(-0.867530\pi\) | ||
0.914646 | − | 0.404256i | \(-0.132470\pi\) | |||||||
\(752\) | 13.4887 | − | 26.0612i | 0.491883 | − | 0.950355i | ||||
\(753\) | 33.1416 | 1.20775 | ||||||||
\(754\) | 0.882595 | − | 1.57011i | 0.0321422 | − | 0.0571802i | ||||
\(755\) | 24.6005 | + | 3.89620i | 0.895306 | + | 0.141797i | ||||
\(756\) | −45.0747 | + | 6.99199i | −1.63935 | + | 0.254296i | ||||
\(757\) | −2.58172 | − | 6.23282i | −0.0938341 | − | 0.226536i | 0.869993 | − | 0.493064i | \(-0.164123\pi\) |
−0.963827 | + | 0.266529i | \(0.914123\pi\) | |||||||
\(758\) | 17.1207 | − | 13.4527i | 0.621850 | − | 0.488623i | ||||
\(759\) | −53.2223 | − | 53.2223i | −1.93185 | − | 1.93185i | ||||
\(760\) | 6.07390 | − | 10.7253i | 0.220324 | − | 0.389048i | ||||
\(761\) | 8.45933 | − | 8.45933i | 0.306650 | − | 0.306650i | −0.536958 | − | 0.843609i | \(-0.680427\pi\) |
0.843609 | + | 0.536958i | \(0.180427\pi\) | |||||||
\(762\) | −8.15016 | + | 67.9330i | −0.295249 | + | 2.46095i | ||||
\(763\) | 8.81379 | − | 3.65079i | 0.319081 | − | 0.132167i | ||||
\(764\) | 39.5604 | − | 24.0696i | 1.43124 | − | 0.870807i | ||||
\(765\) | 31.7438 | + | 5.02753i | 1.14770 | + | 0.181771i | ||||
\(766\) | 15.6066 | − | 4.37468i | 0.563888 | − | 0.158064i | ||||
\(767\) | 2.00839i | 0.0725187i | ||||||||
\(768\) | −50.5413 | + | 11.4547i | −1.82375 | + | 0.413335i | ||||
\(769\) | −23.5540 | −0.849380 | −0.424690 | − | 0.905339i | \(-0.639617\pi\) | ||||
−0.424690 | + | 0.905339i | \(0.639617\pi\) | |||||||
\(770\) | −10.9313 | − | 19.5921i | −0.393936 | − | 0.706050i | ||||
\(771\) | −45.7450 | − | 18.9482i | −1.64746 | − | 0.682402i | ||||
\(772\) | −27.3699 | − | 44.9847i | −0.985063 | − | 1.61903i | ||||
\(773\) | 38.1645 | − | 15.8083i | 1.37268 | − | 0.568584i | 0.430168 | − | 0.902749i | \(-0.358454\pi\) |
0.942515 | + | 0.334165i | \(0.108454\pi\) | |||||||
\(774\) | −87.0918 | − | 10.4487i | −3.13045 | − | 0.375571i | ||||
\(775\) | −5.45556 | + | 16.7912i | −0.195970 | + | 0.603156i | ||||
\(776\) | −17.3237 | + | 18.5619i | −0.621884 | + | 0.666333i | ||||
\(777\) | 18.6396 | − | 18.6396i | 0.668692 | − | 0.668692i | ||||
\(778\) | −7.83520 | + | 6.15656i | −0.280906 | + | 0.220723i | ||||
\(779\) | −6.47847 | + | 2.68347i | −0.232115 | + | 0.0961453i | ||||
\(780\) | −1.36558 | − | 3.32668i | −0.0488956 | − | 0.119114i | ||||
\(781\) | 12.8433 | − | 31.0065i | 0.459570 | − | 1.10950i | ||||
\(782\) | −12.1489 | − | 6.82916i | −0.434444 | − | 0.244210i | ||||
\(783\) | −74.6198 | −2.66669 | ||||||||
\(784\) | −16.1327 | − | 8.34996i | −0.576170 | − | 0.298213i | ||||
\(785\) | 4.61005 | + | 19.2017i | 0.164540 | + | 0.685339i | ||||
\(786\) | −0.626265 | − | 0.352037i | −0.0223381 | − | 0.0125568i | ||||
\(787\) | −11.7801 | − | 4.87949i | −0.419916 | − | 0.173935i | 0.162712 | − | 0.986674i | \(-0.447976\pi\) |
−0.582629 | + | 0.812739i | \(0.697976\pi\) | |||||||
\(788\) | −23.9971 | + | 32.8089i | −0.854862 | + | 1.16877i | ||||
\(789\) | −0.952077 | + | 0.394363i | −0.0338948 | + | 0.0140397i | ||||
\(790\) | 10.9277 | − | 13.8166i | 0.388791 | − | 0.491572i | ||||
\(791\) | 18.3376 | + | 18.3376i | 0.652009 | + | 0.652009i | ||||
\(792\) | −39.7180 | − | 87.2493i | −1.41132 | − | 3.10027i | ||||
\(793\) | −0.728057 | − | 0.728057i | −0.0258541 | − | 0.0258541i | ||||
\(794\) | 0.859767 | − | 7.16631i | 0.0305120 | − | 0.254323i | ||||
\(795\) | −12.1281 | + | 8.81170i | −0.430140 | + | 0.312519i | ||||
\(796\) | 10.7635 | − | 44.2120i | 0.381501 | − | 1.56705i | ||||
\(797\) | −7.47151 | + | 18.0378i | −0.264654 | + | 0.638932i | −0.999215 | − | 0.0396107i | \(-0.987388\pi\) |
0.734561 | + | 0.678543i | \(0.237388\pi\) | |||||||
\(798\) | −13.4779 | + | 3.77799i | −0.477113 | + | 0.133740i | ||||
\(799\) | 14.0768 | 0.498001 | ||||||||
\(800\) | −14.0161 | + | 24.5672i | −0.495545 | + | 0.868582i | ||||
\(801\) | 55.3544 | 1.95585 | ||||||||
\(802\) | 49.5303 | − | 13.8839i | 1.74898 | − | 0.490256i | ||||
\(803\) | −9.26366 | + | 22.3645i | −0.326908 | + | 0.789225i | ||||
\(804\) | −8.52279 | − | 2.07488i | −0.300576 | − | 0.0731755i | ||||
\(805\) | 14.5682 | − | 10.5845i | 0.513460 | − | 0.373055i | ||||
\(806\) | −0.147675 | + | 1.23090i | −0.00520165 | + | 0.0433566i | ||||
\(807\) | 63.7891 | + | 63.7891i | 2.24548 | + | 2.24548i | ||||
\(808\) | −7.69215 | + | 20.5475i | −0.270609 | + | 0.722860i | ||||
\(809\) | −17.0500 | − | 17.0500i | −0.599446 | − | 0.599446i | 0.340719 | − | 0.940165i | \(-0.389329\pi\) |
−0.940165 | + | 0.340719i | \(0.889329\pi\) | |||||||
\(810\) | −48.3340 | + | 61.1116i | −1.69828 | + | 2.14724i | ||||
\(811\) | 10.6070 | − | 4.39355i | 0.372461 | − | 0.154278i | −0.188598 | − | 0.982054i | \(-0.560394\pi\) |
0.561059 | + | 0.827776i | \(0.310394\pi\) | |||||||
\(812\) | 12.9854 | + | 9.49783i | 0.455699 | + | 0.333309i | ||||
\(813\) | 17.8637 | + | 7.39937i | 0.626506 | + | 0.259507i | ||||
\(814\) | 28.9522 | + | 16.2746i | 1.01477 | + | 0.570426i | ||||
\(815\) | −4.68780 | − | 19.5256i | −0.164206 | − | 0.683951i | ||||
\(816\) | −16.0241 | − | 19.0058i | −0.560957 | − | 0.665335i | ||||
\(817\) | −16.1371 | −0.564565 | ||||||||
\(818\) | 20.3993 | + | 11.4669i | 0.713246 | + | 0.400931i | ||||
\(819\) | −1.11588 | + | 2.69398i | −0.0389921 | + | 0.0941351i | ||||
\(820\) | 14.8858 | − | 6.11052i | 0.519836 | − | 0.213389i | ||||
\(821\) | −35.4060 | + | 14.6657i | −1.23568 | + | 0.511835i | −0.902362 | − | 0.430980i | \(-0.858168\pi\) |
−0.333317 | + | 0.942815i | \(0.608168\pi\) | |||||||
\(822\) | −27.0770 | + | 21.2759i | −0.944419 | + | 0.742083i | ||||
\(823\) | 29.3918 | − | 29.3918i | 1.02453 | − | 1.02453i | 0.0248432 | − | 0.999691i | \(-0.492091\pi\) |
0.999691 | − | 0.0248432i | \(-0.00790864\pi\) | |||||||
\(824\) | 1.12764 | + | 32.6812i | 0.0392833 | + | 1.13850i | ||||
\(825\) | −69.6896 | − | 22.6426i | −2.42628 | − | 0.788315i | ||||
\(826\) | −17.8113 | − | 2.13688i | −0.619735 | − | 0.0743517i | ||||
\(827\) | −9.29213 | + | 3.84893i | −0.323119 | + | 0.133840i | −0.538346 | − | 0.842724i | \(-0.680951\pi\) |
0.215227 | + | 0.976564i | \(0.430951\pi\) | |||||||
\(828\) | 65.7331 | − | 39.9938i | 2.28438 | − | 1.38988i | ||||
\(829\) | −50.9527 | − | 21.1053i | −1.76966 | − | 0.733017i | −0.994912 | − | 0.100746i | \(-0.967877\pi\) |
−0.774747 | − | 0.632271i | \(-0.782123\pi\) | |||||||
\(830\) | −6.33510 | − | 11.3544i | −0.219895 | − | 0.394116i | ||||
\(831\) | 86.0312 | 2.98439 | ||||||||
\(832\) | −0.631761 | + | 1.88293i | −0.0219024 | + | 0.0652788i | ||||
\(833\) | − | 8.71399i | − | 0.301922i | ||||||
\(834\) | −77.1233 | + | 21.6185i | −2.67056 | + | 0.748586i | ||||
\(835\) | −31.7112 | − | 5.02237i | −1.09741 | − | 0.173806i | ||||
\(836\) | −9.16685 | − | 15.0665i | −0.317042 | − | 0.521085i | ||||
\(837\) | 47.4504 | − | 19.6546i | 1.64012 | − | 0.679362i | ||||
\(838\) | −3.87670 | + | 32.3130i | −0.133918 | + | 1.11623i | ||||
\(839\) | 28.1226 | − | 28.1226i | 0.970901 | − | 0.970901i | −0.0286876 | − | 0.999588i | \(-0.509133\pi\) |
0.999588 | + | 0.0286876i | \(0.00913280\pi\) | |||||||
\(840\) | 30.9555 | − | 8.57106i | 1.06807 | − | 0.295730i | ||||
\(841\) | −1.89593 | − | 1.89593i | −0.0653769 | − | 0.0653769i | ||||
\(842\) | 8.75807 | − | 6.88171i | 0.301823 | − | 0.237160i | ||||
\(843\) | −7.64360 | − | 18.4533i | −0.263260 | − | 0.635565i | ||||
\(844\) | −0.869333 | − | 5.60426i | −0.0299237 | − | 0.192907i | ||||
\(845\) | 28.5749 | + | 4.52565i | 0.983007 | + | 0.155687i | ||||
\(846\) | −38.0821 | + | 67.7471i | −1.30929 | + | 2.32919i | ||||
\(847\) | −14.8531 | −0.510358 | ||||||||
\(848\) | 8.24977 | + | 0.702194i | 0.283298 | + | 0.0241134i | ||||
\(849\) | − | 0.800489i | − | 0.0274727i | ||||||
\(850\) | −13.5566 | − | 0.554112i | −0.464988 | − | 0.0190059i | ||||
\(851\) | −10.2015 | + | 24.6285i | −0.349701 | + | 0.844254i | ||||
\(852\) | 38.7822 | + | 28.3661i | 1.32866 | + | 0.971808i | ||||
\(853\) | 0.409103 | + | 0.987663i | 0.0140074 | + | 0.0338169i | 0.930729 | − | 0.365711i | \(-0.119174\pi\) |
−0.916721 | + | 0.399528i | \(0.869174\pi\) | |||||||
\(854\) | 7.23138 | − | 5.68210i | 0.247453 | − | 0.194438i | ||||
\(855\) | −17.0559 | + | 27.8331i | −0.583300 | + | 0.951872i | ||||
\(856\) | −5.18751 | + | 13.8571i | −0.177305 | + | 0.473625i | ||||
\(857\) | −35.0911 | − | 35.0911i | −1.19869 | − | 1.19869i | −0.974559 | − | 0.224130i | \(-0.928046\pi\) |
−0.224130 | − | 0.974559i | \(-0.571954\pi\) | |||||||
\(858\) | −5.10870 | − | 0.612909i | −0.174408 | − | 0.0209244i | ||||
\(859\) | 0.950659 | + | 2.29509i | 0.0324361 | + | 0.0783076i | 0.939268 | − | 0.343186i | \(-0.111506\pi\) |
−0.906831 | + | 0.421493i | \(0.861506\pi\) | |||||||
\(860\) | 37.0300 | + | 0.117765i | 1.26271 | + | 0.00401577i | ||||
\(861\) | −16.8825 | − | 6.99295i | −0.575354 | − | 0.238319i | ||||
\(862\) | 25.9244 | − | 7.26687i | 0.882988 | − | 0.247510i | ||||
\(863\) | − | 14.4929i | − | 0.493346i | −0.969099 | − | 0.246673i | \(-0.920663\pi\) | ||
0.969099 | − | 0.246673i | \(-0.0793373\pi\) | |||||||
\(864\) | 80.8247 | − | 15.4088i | 2.74971 | − | 0.524218i | ||||
\(865\) | 33.2757 | − | 7.98900i | 1.13141 | − | 0.271634i | ||||
\(866\) | −5.96090 | − | 21.2654i | −0.202560 | − | 0.722627i | ||||
\(867\) | −16.5078 | + | 39.8534i | −0.560634 | + | 1.35349i | ||||
\(868\) | −10.7591 | − | 2.61931i | −0.365187 | − | 0.0889051i | ||||
\(869\) | −9.64554 | − | 23.2864i | −0.327203 | − | 0.789937i | ||||
\(870\) | 52.1910 | − | 6.09324i | 1.76944 | − | 0.206580i | ||||
\(871\) | −0.237709 | + | 0.237709i | −0.00805445 | + | 0.00805445i | ||||
\(872\) | −15.6622 | + | 7.12981i | −0.530389 | + | 0.241446i | ||||
\(873\) | 47.5475 | − | 47.5475i | 1.60924 | − | 1.60924i | ||||
\(874\) | 11.1303 | − | 8.74572i | 0.376489 | − | 0.295828i | ||||
\(875\) | 7.95851 | − | 15.6201i | 0.269047 | − | 0.528057i | ||||
\(876\) | −27.9729 | − | 20.4600i | −0.945118 | − | 0.691280i | ||||
\(877\) | −12.1206 | − | 5.02050i | −0.409282 | − | 0.169530i | 0.168537 | − | 0.985695i | \(-0.446096\pi\) |
−0.577819 | + | 0.816165i | \(0.696096\pi\) | |||||||
\(878\) | −12.0530 | + | 21.4421i | −0.406770 | + | 0.723634i | ||||
\(879\) | 42.4658i | 1.43233i | ||||||||
\(880\) | 20.9253 | + | 34.6402i | 0.705393 | + | 1.16772i | ||||
\(881\) | 25.7354i | 0.867049i | 0.901142 | + | 0.433524i | \(0.142730\pi\) | ||||
−0.901142 | + | 0.433524i | \(0.857270\pi\) | |||||||
\(882\) | 41.9376 | + | 23.5740i | 1.41211 | + | 0.793779i | ||||
\(883\) | −14.7846 | − | 6.12399i | −0.497542 | − | 0.206089i | 0.119778 | − | 0.992801i | \(-0.461782\pi\) |
−0.617320 | + | 0.786712i | \(0.711782\pi\) | |||||||
\(884\) | −0.941464 | + | 0.146040i | −0.0316649 | + | 0.00491185i | ||||
\(885\) | −47.4005 | + | 34.4389i | −1.59335 | + | 1.15765i | ||||
\(886\) | 21.2405 | + | 27.0320i | 0.713590 | + | 0.908157i | ||||
\(887\) | −11.4787 | + | 11.4787i | −0.385418 | + | 0.385418i | −0.873050 | − | 0.487631i | \(-0.837861\pi\) |
0.487631 | + | 0.873050i | \(0.337861\pi\) | |||||||
\(888\) | −32.4436 | + | 34.7625i | −1.08874 | + | 1.16655i | ||||
\(889\) | −16.5614 | + | 16.5614i | −0.555450 | + | 0.555450i | ||||
\(890\) | −23.2107 | + | 2.70981i | −0.778023 | + | 0.0908332i | ||||
\(891\) | 42.6629 | + | 102.997i | 1.42926 | + | 3.45054i | ||||
\(892\) | 19.6004 | + | 32.2150i | 0.656271 | + | 1.07864i | ||||
\(893\) | −5.47141 | + | 13.2092i | −0.183094 | + | 0.442027i | ||||
\(894\) | 88.8761 | − | 24.9129i | 2.97246 | − | 0.833211i | ||||
\(895\) | 9.85630 | + | 41.0534i | 0.329460 | + | 1.37226i | ||||
\(896\) | −16.0265 | − | 7.60615i | −0.535408 | − | 0.254104i | ||||
\(897\) | − | 4.12981i | − | 0.137890i | ||||||
\(898\) | −4.72966 | − | 16.8729i | −0.157831 | − | 0.563058i | ||||
\(899\) | −16.7360 | − | 6.93226i | −0.558176 | − | 0.231204i | ||||
\(900\) | 39.3416 | − | 63.7445i | 1.31139 | − | 2.12482i | ||||
\(901\) | 1.51991 | + | 3.66938i | 0.0506355 | + | 0.122245i | ||||
\(902\) | 2.74257 | − | 22.8598i | 0.0913174 | − | 0.761147i | ||||
\(903\) | −29.7354 | − | 29.7354i | −0.989532 | − | 0.989532i | ||||
\(904\) | −34.1992 | − | 31.9179i | −1.13745 | − | 1.06157i | ||||
\(905\) | −2.90059 | + | 4.73340i | −0.0964189 | + | 0.157343i | ||||
\(906\) | 31.5235 | + | 40.1187i | 1.04730 | + | 1.33286i | ||||
\(907\) | −7.50202 | − | 18.1115i | −0.249100 | − | 0.601382i | 0.749028 | − | 0.662539i | \(-0.230521\pi\) |
−0.998128 | + | 0.0611569i | \(0.980521\pi\) | |||||||
\(908\) | 1.53357 | + | 9.88636i | 0.0508934 | + | 0.328090i | ||||
\(909\) | 22.2361 | − | 53.6828i | 0.737526 | − | 1.78055i | ||||
\(910\) | 0.336020 | − | 1.18424i | 0.0111389 | − | 0.0392571i | ||||
\(911\) | 28.3807i | 0.940296i | 0.882588 | + | 0.470148i | \(0.155799\pi\) | ||||
−0.882588 | + | 0.470148i | \(0.844201\pi\) | |||||||
\(912\) | 24.0626 | − | 7.64925i | 0.796794 | − | 0.253292i | ||||
\(913\) | −18.6038 | −0.615695 | ||||||||
\(914\) | −6.06419 | − | 3.40881i | −0.200586 | − | 0.112753i | ||||
\(915\) | 4.69868 | − | 29.6674i | 0.155334 | − | 0.980776i | ||||
\(916\) | −8.60327 | − | 6.29262i | −0.284260 | − | 0.207914i | ||||
\(917\) | −0.0941130 | − | 0.227209i | −0.00310788 | − | 0.00750310i | ||||
\(918\) | 24.3861 | + | 31.0352i | 0.804861 | + | 1.02431i | ||||
\(919\) | 6.80537 | + | 6.80537i | 0.224488 | + | 0.224488i | 0.810385 | − | 0.585897i | \(-0.199258\pi\) |
−0.585897 | + | 0.810385i | \(0.699258\pi\) | |||||||
\(920\) | −25.6047 | + | 19.9877i | −0.844163 | + | 0.658975i | ||||
\(921\) | 18.9814 | − | 18.9814i | 0.625459 | − | 0.625459i | ||||
\(922\) | 11.7789 | + | 1.41316i | 0.387918 | + | 0.0465398i | ||||
\(923\) | 1.70127 | − | 0.704691i | 0.0559981 | − | 0.0231952i | ||||
\(924\) | 10.8711 | − | 44.6542i | 0.357633 | − | 1.46901i | ||||
\(925\) | 2.03649 | + | 25.8722i | 0.0669593 | + | 0.850671i | ||||
\(926\) | −2.73914 | − | 9.77181i | −0.0900137 | − | 0.321122i | ||||
\(927\) | − | 86.6036i | − | 2.84443i | ||||||
\(928\) | −24.0006 | − | 16.3147i | −0.787859 | − | 0.535557i | ||||
\(929\) | −29.8361 | −0.978890 | −0.489445 | − | 0.872034i | \(-0.662801\pi\) | ||||
−0.489445 | + | 0.872034i | \(0.662801\pi\) | |||||||
\(930\) | −31.5831 | + | 17.6216i | −1.03565 | + | 0.577835i | ||||
\(931\) | 8.17689 | + | 3.38698i | 0.267987 | + | 0.111004i | ||||
\(932\) | −12.4338 | + | 51.0730i | −0.407282 | + | 1.67295i | ||||
\(933\) | 23.5081 | − | 9.73736i | 0.769619 | − | 0.318787i | ||||
\(934\) | −2.38236 | + | 19.8573i | −0.0779530 | + | 0.649752i | ||||
\(935\) | −10.1433 | + | 16.5527i | −0.331723 | + | 0.541330i | ||||
\(936\) | 1.84411 | − | 4.92605i | 0.0602766 | − | 0.161013i | ||||
\(937\) | −34.3699 | + | 34.3699i | −1.12281 | + | 1.12281i | −0.131498 | + | 0.991316i | \(0.541979\pi\) |
−0.991316 | + | 0.131498i | \(0.958021\pi\) | |||||||
\(938\) | −1.85519 | − | 2.36103i | −0.0605742 | − | 0.0770903i | ||||
\(939\) | −11.9176 | + | 4.93642i | −0.388915 | + | 0.161094i | ||||
\(940\) | 12.6517 | − | 30.2713i | 0.412653 | − | 0.987341i | ||||
\(941\) | 21.1030 | − | 50.9471i | 0.687937 | − | 1.66083i | −0.0609599 | − | 0.998140i | \(-0.519416\pi\) |
0.748897 | − | 0.662687i | \(-0.230584\pi\) | |||||||
\(942\) | −19.8220 | + | 35.2629i | −0.645836 | + | 1.14893i | ||||
\(943\) | 18.4796 | 0.601777 | ||||||||
\(944\) | 32.2427 | + | 2.74440i | 1.04941 | + | 0.0893225i | ||||
\(945\) | −49.5886 | + | 11.9055i | −1.61312 | + | 0.387286i | ||||
\(946\) | 25.9626 | − | 46.1868i | 0.844116 | − | 1.50166i | ||||
\(947\) | 1.27735 | + | 0.529095i | 0.0415082 | + | 0.0171933i | 0.403341 | − | 0.915050i | \(-0.367849\pi\) |
−0.361833 | + | 0.932243i | \(0.617849\pi\) | |||||||
\(948\) | 35.6591 | − | 5.53143i | 1.15815 | − | 0.179653i | ||||
\(949\) | −1.22710 | + | 0.508281i | −0.0398333 | + | 0.0164995i | ||||
\(950\) | 5.78918 | − | 12.5057i | 0.187826 | − | 0.405737i | ||||
\(951\) | 2.11594 | + | 2.11594i | 0.0686142 | + | 0.0686142i | ||||
\(952\) | −0.293450 | − | 8.50472i | −0.00951077 | − | 0.275639i | ||||
\(953\) | −2.96077 | − | 2.96077i | −0.0959089 | − | 0.0959089i | 0.657524 | − | 0.753433i | \(-0.271604\pi\) |
−0.753433 | + | 0.657524i | \(0.771604\pi\) | |||||||
\(954\) | −21.7714 | − | 2.61199i | −0.704875 | − | 0.0845663i | ||||
\(955\) | 41.8852 | − | 30.4318i | 1.35537 | − | 0.984749i | ||||
\(956\) | 19.6478 | + | 32.2927i | 0.635454 | + | 1.04442i | ||||
\(957\) | 28.7715 | − | 69.4605i | 0.930050 | − | 2.24534i | ||||
\(958\) | −5.51424 | − | 19.6719i | −0.178157 | − | 0.635571i | ||||
\(959\) | −11.7879 | −0.380652 | ||||||||
\(960\) | −55.2727 | + | 17.3772i | −1.78392 | + | 0.560848i | ||||
\(961\) | −18.5317 | −0.597798 | ||||||||
\(962\) | 0.491860 | + | 1.75470i | 0.0158582 | + | 0.0565737i | ||||
\(963\) | 14.9958 | − | 36.2031i | 0.483234 | − | 1.16663i | ||||
\(964\) | 22.0549 | + | 36.2490i | 0.710340 | + | 1.16750i | ||||
\(965\) | −34.6044 | − | 47.6282i | −1.11395 | − | 1.53321i | ||||
\(966\) | 36.6251 | + | 4.39404i | 1.17839 | + | 0.141376i | ||||
\(967\) | −31.2533 | − | 31.2533i | −1.00504 | − | 1.00504i | −0.999987 | − | 0.00505130i | \(-0.998392\pi\) |
−0.00505130 | − | 0.999987i | \(-0.501608\pi\) | |||||||
\(968\) | 26.7768 | − | 0.923915i | 0.860637 | − | 0.0296957i | ||||
\(969\) | 8.56447 | + | 8.56447i | 0.275131 | + | 0.275131i | ||||
\(970\) | −17.6095 | + | 22.2648i | −0.565408 | + | 0.714879i | ||||
\(971\) | −55.8924 | + | 23.1514i | −1.79367 | + | 0.742963i | −0.804923 | + | 0.593380i | \(0.797793\pi\) |
−0.988749 | + | 0.149583i | \(0.952207\pi\) | |||||||
\(972\) | −71.4822 | + | 11.0883i | −2.29279 | + | 0.355658i | ||||
\(973\) | −25.3310 | − | 10.4925i | −0.812076 | − | 0.336373i | ||||
\(974\) | −22.1590 | + | 39.4204i | −0.710021 | + | 1.26311i | ||||
\(975\) | −1.82532 | − | 3.58228i | −0.0584570 | − | 0.114725i | ||||
\(976\) | −12.6831 | + | 10.6934i | −0.405976 | + | 0.342287i | ||||
\(977\) | 32.6357 | 1.04411 | 0.522055 | − | 0.852912i | \(-0.325166\pi\) | ||||
0.522055 | + | 0.852912i | \(0.325166\pi\) | |||||||
\(978\) | 20.1563 | − | 35.8576i | 0.644529 | − | 1.14660i | ||||
\(979\) | −12.7954 | + | 30.8908i | −0.408943 | + | 0.987275i | ||||
\(980\) | −18.7389 | − | 7.83182i | −0.598593 | − | 0.250178i | ||||
\(981\) | 42.1059 | − | 17.4408i | 1.34434 | − | 0.556843i | ||||
\(982\) | −5.18935 | − | 6.60427i | −0.165599 | − | 0.210751i | ||||
\(983\) | 1.16983 | − | 1.16983i | 0.0373119 | − | 0.0373119i | −0.688205 | − | 0.725517i | \(-0.741601\pi\) |
0.725517 | + | 0.688205i | \(0.241601\pi\) | |||||||
\(984\) | 30.8703 | + | 11.5566i | 0.984110 | + | 0.368410i | ||||
\(985\) | −23.7453 | + | 38.7494i | −0.756589 | + | 1.23466i | ||||
\(986\) | 1.65828 | − | 13.8221i | 0.0528104 | − | 0.440184i | ||||
\(987\) | −34.4222 | + | 14.2581i | −1.09567 | + | 0.453842i | ||||
\(988\) | 0.228893 | − | 0.940199i | 0.00728204 | − | 0.0299117i | ||||
\(989\) | 39.2893 | + | 16.2742i | 1.24933 | + | 0.517489i | ||||
\(990\) | −52.2217 | − | 93.5967i | −1.65972 | − | 2.97470i | ||||
\(991\) | −14.3222 | −0.454961 | −0.227480 | − | 0.973783i | \(-0.573049\pi\) | ||||
−0.227480 | + | 0.973783i | \(0.573049\pi\) | |||||||
\(992\) | 19.5591 | + | 4.05277i | 0.621003 | + | 0.128676i | ||||
\(993\) | 47.4820i | 1.50679i | ||||||||
\(994\) | 4.43940 | + | 15.8375i | 0.140809 | + | 0.502334i | ||||
\(995\) | 7.95820 | − | 50.2480i | 0.252292 | − | 1.59297i | ||||
\(996\) | 6.30023 | − | 25.8788i | 0.199630 | − | 0.820002i | ||||
\(997\) | −29.2035 | + | 12.0965i | −0.924884 | + | 0.383100i | −0.793735 | − | 0.608263i | \(-0.791867\pi\) |
−0.131149 | + | 0.991363i | \(0.541867\pi\) | |||||||
\(998\) | −29.5166 | − | 3.54121i | −0.934332 | − | 0.112095i | ||||
\(999\) | 53.3839 | − | 53.3839i | 1.68899 | − | 1.68899i |
(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 | 160.2.z.a.29.10 | ✓ | 88 | |
4.3 | odd | 2 | 640.2.z.a.209.1 | 88 | |||
5.2 | odd | 4 | 800.2.y.f.701.21 | 88 | |||
5.3 | odd | 4 | 800.2.y.f.701.2 | 88 | |||
5.4 | even | 2 | inner | 160.2.z.a.29.13 | yes | 88 | |
20.19 | odd | 2 | 640.2.z.a.209.22 | 88 | |||
32.11 | odd | 8 | 640.2.z.a.49.22 | 88 | |||
32.21 | even | 8 | inner | 160.2.z.a.149.13 | yes | 88 | |
160.53 | odd | 8 | 800.2.y.f.501.2 | 88 | |||
160.117 | odd | 8 | 800.2.y.f.501.21 | 88 | |||
160.139 | odd | 8 | 640.2.z.a.49.1 | 88 | |||
160.149 | even | 8 | inner | 160.2.z.a.149.10 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
160.2.z.a.29.10 | ✓ | 88 | 1.1 | even | 1 | trivial | |
160.2.z.a.29.13 | yes | 88 | 5.4 | even | 2 | inner | |
160.2.z.a.149.10 | yes | 88 | 160.149 | even | 8 | inner | |
160.2.z.a.149.13 | yes | 88 | 32.21 | even | 8 | inner | |
640.2.z.a.49.1 | 88 | 160.139 | odd | 8 | |||
640.2.z.a.49.22 | 88 | 32.11 | odd | 8 | |||
640.2.z.a.209.1 | 88 | 4.3 | odd | 2 | |||
640.2.z.a.209.22 | 88 | 20.19 | odd | 2 | |||
800.2.y.f.501.2 | 88 | 160.53 | odd | 8 | |||
800.2.y.f.501.21 | 88 | 160.117 | odd | 8 | |||
800.2.y.f.701.2 | 88 | 5.3 | odd | 4 | |||
800.2.y.f.701.21 | 88 | 5.2 | odd | 4 |