Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,2,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), degree \(12\), 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: | \(1.07798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 32.8 | ||
Character | \(\chi\) | \(=\) | 135.32 |
Dual form | 135.2.q.a.38.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.00133058 | − | 0.0152086i | 0.000940864 | − | 0.0107541i | −0.995710 | − | 0.0925315i | \(-0.970504\pi\) |
0.996651 | + | 0.0817774i | \(0.0260597\pi\) | |||||||
\(3\) | −1.71244 | − | 0.259886i | −0.988679 | − | 0.150045i | ||||
\(4\) | 1.96939 | + | 0.347256i | 0.984693 | + | 0.173628i | ||||
\(5\) | 0.516124 | − | 2.17569i | 0.230818 | − | 0.972997i | ||||
\(6\) | −0.00623106 | + | 0.0256981i | −0.00254382 | + | 0.0104912i | ||||
\(7\) | −0.148030 | + | 0.211408i | −0.0559499 | + | 0.0799048i | −0.846152 | − | 0.532941i | \(-0.821087\pi\) |
0.790202 | + | 0.612846i | \(0.209975\pi\) | |||||||
\(8\) | 0.0158044 | − | 0.0589827i | 0.00558769 | − | 0.0208535i | ||||
\(9\) | 2.86492 | + | 0.890079i | 0.954973 | + | 0.296693i | ||||
\(10\) | −0.0324025 | − | 0.0107445i | −0.0102466 | − | 0.00339770i | ||||
\(11\) | 1.49616 | − | 4.11066i | 0.451108 | − | 1.23941i | −0.480836 | − | 0.876810i | \(-0.659667\pi\) |
0.931945 | − | 0.362600i | \(-0.118111\pi\) | |||||||
\(12\) | −3.28221 | − | 1.10647i | −0.947493 | − | 0.319411i | ||||
\(13\) | 2.14258 | − | 0.187451i | 0.594244 | − | 0.0519896i | 0.213933 | − | 0.976848i | \(-0.431373\pi\) |
0.380311 | + | 0.924859i | \(0.375817\pi\) | |||||||
\(14\) | 0.00301826 | + | 0.00253263i | 0.000806665 | + | 0.000676873i | ||||
\(15\) | −1.44926 | + | 3.59161i | −0.374198 | + | 0.927349i | ||||
\(16\) | 3.75746 | + | 1.36760i | 0.939364 | + | 0.341901i | ||||
\(17\) | 0.456091 | + | 1.70216i | 0.110618 | + | 0.412833i | 0.998922 | − | 0.0464236i | \(-0.0147824\pi\) |
−0.888303 | + | 0.459257i | \(0.848116\pi\) | |||||||
\(18\) | 0.0173489 | − | 0.0423872i | 0.00408918 | − | 0.00999075i | ||||
\(19\) | −4.91894 | + | 2.83995i | −1.12848 | + | 0.651529i | −0.943553 | − | 0.331222i | \(-0.892539\pi\) |
−0.184929 | + | 0.982752i | \(0.559206\pi\) | |||||||
\(20\) | 1.77197 | − | 4.10554i | 0.396224 | − | 0.918027i | ||||
\(21\) | 0.308434 | − | 0.323554i | 0.0673059 | − | 0.0706052i | ||||
\(22\) | −0.0605267 | − | 0.0282241i | −0.0129043 | − | 0.00601740i | ||||
\(23\) | −4.74660 | + | 3.32360i | −0.989734 | + | 0.693019i | −0.951946 | − | 0.306267i | \(-0.900920\pi\) |
−0.0377879 | + | 0.999286i | \(0.512031\pi\) | |||||||
\(24\) | −0.0423928 | + | 0.0968971i | −0.00865340 | + | 0.0197790i | ||||
\(25\) | −4.46723 | − | 2.24585i | −0.893447 | − | 0.449170i | ||||
\(26\) | − | 0.0328351i | − | 0.00643949i | ||||||
\(27\) | −4.67469 | − | 2.26876i | −0.899644 | − | 0.436623i | ||||
\(28\) | −0.364940 | + | 0.364940i | −0.0689672 | + | 0.0689672i | ||||
\(29\) | −3.59567 | + | 3.01712i | −0.667699 | + | 0.560266i | −0.912383 | − | 0.409337i | \(-0.865760\pi\) |
0.244685 | + | 0.969603i | \(0.421316\pi\) | |||||||
\(30\) | 0.0526951 | + | 0.0268202i | 0.00962076 | + | 0.00489668i | ||||
\(31\) | −0.912568 | + | 5.17543i | −0.163902 | + | 0.929534i | 0.786287 | + | 0.617861i | \(0.212001\pi\) |
−0.950189 | + | 0.311673i | \(0.899111\pi\) | |||||||
\(32\) | 0.0774120 | − | 0.166010i | 0.0136846 | − | 0.0293468i | ||||
\(33\) | −3.63039 | + | 6.65044i | −0.631969 | + | 1.15769i | ||||
\(34\) | 0.0264943 | − | 0.00467167i | 0.00454374 | − | 0.000801184i | ||||
\(35\) | 0.383557 | + | 0.431179i | 0.0648329 | + | 0.0728826i | ||||
\(36\) | 5.33305 | + | 2.74777i | 0.888841 | + | 0.457962i | ||||
\(37\) | 3.12552 | − | 0.837479i | 0.513832 | − | 0.137681i | 0.00741968 | − | 0.999972i | \(-0.497638\pi\) |
0.506412 | + | 0.862292i | \(0.330972\pi\) | |||||||
\(38\) | 0.0366467 | + | 0.0785891i | 0.00594488 | + | 0.0127488i | ||||
\(39\) | −3.71775 | − | 0.235826i | −0.595317 | − | 0.0377624i | ||||
\(40\) | −0.120171 | − | 0.0648277i | −0.0190007 | − | 0.0102502i | ||||
\(41\) | 0.241984 | − | 0.288386i | 0.0377916 | − | 0.0450383i | −0.746818 | − | 0.665029i | \(-0.768419\pi\) |
0.784609 | + | 0.619991i | \(0.212864\pi\) | |||||||
\(42\) | −0.00451041 | − | 0.00512138i | −0.000695972 | − | 0.000790246i | ||||
\(43\) | 8.25395 | − | 3.84888i | 1.25872 | − | 0.586948i | 0.325254 | − | 0.945627i | \(-0.394550\pi\) |
0.933461 | + | 0.358678i | \(0.116772\pi\) | |||||||
\(44\) | 4.37396 | − | 7.57592i | 0.659400 | − | 1.14211i | ||||
\(45\) | 3.41519 | − | 5.77378i | 0.509106 | − | 0.860704i | ||||
\(46\) | 0.0442317 | + | 0.0766116i | 0.00652161 | + | 0.0112958i | ||||
\(47\) | −3.28345 | − | 2.29910i | −0.478941 | − | 0.335358i | 0.309049 | − | 0.951046i | \(-0.399989\pi\) |
−0.787990 | + | 0.615688i | \(0.788878\pi\) | |||||||
\(48\) | −6.07901 | − | 3.31845i | −0.877429 | − | 0.478977i | ||||
\(49\) | 2.37136 | + | 6.51526i | 0.338766 | + | 0.930751i | ||||
\(50\) | −0.0401003 | + | 0.0649522i | −0.00567104 | + | 0.00918563i | ||||
\(51\) | −0.338664 | − | 3.03338i | −0.0474224 | − | 0.424757i | ||||
\(52\) | 4.28465 | + | 0.374859i | 0.594174 | + | 0.0519835i | ||||
\(53\) | 8.15900 | + | 8.15900i | 1.12072 | + | 1.12072i | 0.991633 | + | 0.129092i | \(0.0412062\pi\) |
0.129092 | + | 0.991633i | \(0.458794\pi\) | |||||||
\(54\) | −0.0407248 | + | 0.0680769i | −0.00554195 | + | 0.00926409i | ||||
\(55\) | −8.17131 | − | 5.37678i | −1.10182 | − | 0.725005i | ||||
\(56\) | 0.0101299 | + | 0.0120724i | 0.00135367 | + | 0.00161324i | ||||
\(57\) | 9.16146 | − | 3.58489i | 1.21347 | − | 0.474830i | ||||
\(58\) | 0.0411020 | + | 0.0586997i | 0.00539696 | + | 0.00770765i | ||||
\(59\) | −10.6146 | + | 3.86341i | −1.38191 | + | 0.502973i | −0.922756 | − | 0.385385i | \(-0.874069\pi\) |
−0.459152 | + | 0.888358i | \(0.651847\pi\) | |||||||
\(60\) | −4.10136 | + | 6.56999i | −0.529484 | + | 0.848183i | ||||
\(61\) | −2.10712 | − | 11.9501i | −0.269790 | − | 1.53005i | −0.755040 | − | 0.655678i | \(-0.772383\pi\) |
0.485251 | − | 0.874375i | \(-0.338728\pi\) | |||||||
\(62\) | 0.0774969 | + | 0.0207652i | 0.00984212 | + | 0.00263719i | ||||
\(63\) | −0.612263 | + | 0.473909i | −0.0771379 | + | 0.0597070i | ||||
\(64\) | 6.92336 | + | 3.99720i | 0.865420 | + | 0.499650i | ||||
\(65\) | 0.697999 | − | 4.75832i | 0.0865761 | − | 0.590197i | ||||
\(66\) | 0.0963135 | + | 0.0640622i | 0.0118554 | + | 0.00788551i | ||||
\(67\) | 0.160052 | + | 1.82940i | 0.0195534 | + | 0.223497i | 0.999684 | + | 0.0251426i | \(0.00800398\pi\) |
−0.980130 | + | 0.198354i | \(0.936440\pi\) | |||||||
\(68\) | 0.307136 | + | 3.51058i | 0.0372457 | + | 0.425721i | ||||
\(69\) | 8.99203 | − | 4.45790i | 1.08251 | − | 0.536669i | ||||
\(70\) | 0.00706800 | − | 0.00525965i | 0.000844787 | − | 0.000628649i | ||||
\(71\) | 4.44360 | + | 2.56551i | 0.527358 | + | 0.304471i | 0.739940 | − | 0.672673i | \(-0.234854\pi\) |
−0.212582 | + | 0.977143i | \(0.568187\pi\) | |||||||
\(72\) | 0.0977775 | − | 0.154913i | 0.0115232 | − | 0.0182567i | ||||
\(73\) | −13.8702 | − | 3.71651i | −1.62338 | − | 0.434984i | −0.671390 | − | 0.741104i | \(-0.734303\pi\) |
−0.951993 | + | 0.306120i | \(0.900969\pi\) | |||||||
\(74\) | −0.00857816 | − | 0.0486492i | −0.000997191 | − | 0.00565535i | ||||
\(75\) | 7.06621 | + | 5.00686i | 0.815936 | + | 0.578142i | ||||
\(76\) | −10.6735 | + | 3.88483i | −1.22433 | + | 0.445620i | ||||
\(77\) | 0.647552 | + | 0.924799i | 0.0737953 | + | 0.105391i | ||||
\(78\) | −0.00853337 | + | 0.0562282i | −0.000966214 | + | 0.00636659i | ||||
\(79\) | −1.98949 | − | 2.37099i | −0.223835 | − | 0.266757i | 0.642426 | − | 0.766348i | \(-0.277928\pi\) |
−0.866261 | + | 0.499591i | \(0.833484\pi\) | |||||||
\(80\) | 4.91479 | − | 7.46920i | 0.549490 | − | 0.835082i | ||||
\(81\) | 7.41552 | + | 5.10001i | 0.823946 | + | 0.566668i | ||||
\(82\) | −0.00406398 | − | 0.00406398i | −0.000448791 | − | 0.000448791i | ||||
\(83\) | 4.94812 | + | 0.432904i | 0.543127 | + | 0.0475174i | 0.355418 | − | 0.934707i | \(-0.384338\pi\) |
0.187708 | + | 0.982225i | \(0.439894\pi\) | |||||||
\(84\) | 0.719782 | − | 0.530096i | 0.0785347 | − | 0.0578383i | ||||
\(85\) | 3.93876 | − | 0.113789i | 0.427218 | − | 0.0123422i | ||||
\(86\) | −0.0475536 | − | 0.130653i | −0.00512784 | − | 0.0140886i | ||||
\(87\) | 6.94148 | − | 4.23219i | 0.744205 | − | 0.453738i | ||||
\(88\) | −0.218812 | − | 0.153214i | −0.0233254 | − | 0.0163326i | ||||
\(89\) | 1.44584 | + | 2.50426i | 0.153259 | + | 0.265452i | 0.932424 | − | 0.361367i | \(-0.117690\pi\) |
−0.779165 | + | 0.626819i | \(0.784357\pi\) | |||||||
\(90\) | −0.0832671 | − | 0.0596228i | −0.00877712 | − | 0.00628480i | ||||
\(91\) | −0.277536 | + | 0.480707i | −0.0290937 | + | 0.0503917i | ||||
\(92\) | −10.5020 | + | 4.89717i | −1.09491 | + | 0.510565i | ||||
\(93\) | 2.90774 | − | 8.62546i | 0.301519 | − | 0.894418i | ||||
\(94\) | −0.0393351 | + | 0.0468777i | −0.00405710 | + | 0.00483507i | ||||
\(95\) | 3.64006 | + | 12.1678i | 0.373463 | + | 1.24839i | ||||
\(96\) | −0.175707 | + | 0.264165i | −0.0179331 | + | 0.0269612i | ||||
\(97\) | −1.99162 | − | 4.27105i | −0.202219 | − | 0.433659i | 0.778879 | − | 0.627175i | \(-0.215789\pi\) |
−0.981097 | + | 0.193516i | \(0.938011\pi\) | |||||||
\(98\) | 0.102243 | − | 0.0273961i | 0.0103282 | − | 0.00276742i | ||||
\(99\) | 7.94518 | − | 10.4450i | 0.798521 | − | 1.04976i | ||||
\(100\) | −8.01782 | − | 5.97421i | −0.801782 | − | 0.597421i | ||||
\(101\) | 2.84523 | − | 0.501690i | 0.283110 | − | 0.0499200i | −0.0302897 | − | 0.999541i | \(-0.509643\pi\) |
0.313400 | + | 0.949621i | \(0.398532\pi\) | |||||||
\(102\) | −0.0465841 | + | 0.00111446i | −0.00461251 | + | 0.000110348i | ||||
\(103\) | 4.26799 | − | 9.15274i | 0.420538 | − | 0.901846i | −0.575900 | − | 0.817520i | \(-0.695348\pi\) |
0.996438 | − | 0.0843263i | \(-0.0268738\pi\) | |||||||
\(104\) | 0.0228057 | − | 0.129337i | 0.00223628 | − | 0.0126826i | ||||
\(105\) | −0.544761 | − | 0.838050i | −0.0531633 | − | 0.0817853i | ||||
\(106\) | 0.134943 | − | 0.113231i | 0.0131069 | − | 0.0109980i | ||||
\(107\) | −10.6261 | + | 10.6261i | −1.02727 | + | 1.02727i | −0.0276498 | + | 0.999618i | \(0.508802\pi\) |
−0.999618 | + | 0.0276498i | \(0.991198\pi\) | |||||||
\(108\) | −8.41843 | − | 6.09138i | −0.810064 | − | 0.586143i | ||||
\(109\) | − | 12.0030i | − | 1.14968i | −0.818265 | − | 0.574841i | \(-0.805064\pi\) | ||
0.818265 | − | 0.574841i | \(-0.194936\pi\) | |||||||
\(110\) | −0.0926461 | + | 0.117120i | −0.00883346 | + | 0.0111670i | ||||
\(111\) | −5.56991 | + | 0.621858i | −0.528673 | + | 0.0590241i | ||||
\(112\) | −0.845337 | + | 0.591912i | −0.0798769 | + | 0.0559304i | ||||
\(113\) | 8.41851 | + | 3.92562i | 0.791947 | + | 0.369291i | 0.776121 | − | 0.630584i | \(-0.217184\pi\) |
0.0158260 | + | 0.999875i | \(0.494962\pi\) | |||||||
\(114\) | −0.0423312 | − | 0.144103i | −0.00396468 | − | 0.0134965i | ||||
\(115\) | 4.78129 | + | 12.0425i | 0.445858 | + | 1.12297i | ||||
\(116\) | −8.12897 | + | 4.69326i | −0.754756 | + | 0.435759i | ||||
\(117\) | 6.30515 | + | 1.37003i | 0.582912 | + | 0.126659i | ||||
\(118\) | 0.0446336 | + | 0.166575i | 0.00410885 | + | 0.0153344i | ||||
\(119\) | −0.427365 | − | 0.155548i | −0.0391765 | − | 0.0142591i | ||||
\(120\) | 0.188938 | + | 0.142244i | 0.0172476 | + | 0.0129851i | ||||
\(121\) | −6.23254 | − | 5.22972i | −0.566595 | − | 0.475429i | ||||
\(122\) | −0.184548 | + | 0.0161459i | −0.0167082 | + | 0.00146178i | ||||
\(123\) | −0.489332 | + | 0.430956i | −0.0441216 | + | 0.0388580i | ||||
\(124\) | −3.59440 | + | 9.87552i | −0.322786 | + | 0.886848i | ||||
\(125\) | −7.19191 | + | 8.56017i | −0.643264 | + | 0.765645i | ||||
\(126\) | 0.00639285 | + | 0.00994226i | 0.000569520 | + | 0.000885727i | ||||
\(127\) | −5.03035 | + | 18.7735i | −0.446371 | + | 1.66588i | 0.265918 | + | 0.963996i | \(0.414325\pi\) |
−0.712290 | + | 0.701885i | \(0.752342\pi\) | |||||||
\(128\) | 0.280131 | − | 0.400068i | 0.0247603 | − | 0.0353614i | ||||
\(129\) | −15.1347 | + | 4.44590i | −1.33253 | + | 0.391440i | ||||
\(130\) | −0.0714389 | − | 0.0169470i | −0.00626560 | − | 0.00148635i | ||||
\(131\) | −4.49710 | − | 0.792959i | −0.392913 | − | 0.0692812i | −0.0262986 | − | 0.999654i | \(-0.508372\pi\) |
−0.366614 | + | 0.930373i | \(0.619483\pi\) | |||||||
\(132\) | −9.45903 | + | 11.8366i | −0.823303 | + | 1.03024i | ||||
\(133\) | 0.127760 | − | 1.46030i | 0.0110782 | − | 0.126624i | ||||
\(134\) | 0.0280356 | 0.00242191 | ||||||||
\(135\) | −7.34883 | + | 8.99970i | −0.632487 | + | 0.774571i | ||||
\(136\) | 0.107606 | 0.00922713 | ||||||||
\(137\) | 0.609750 | − | 6.96948i | 0.0520945 | − | 0.595443i | −0.924619 | − | 0.380894i | \(-0.875616\pi\) |
0.976713 | − | 0.214549i | \(-0.0688281\pi\) | |||||||
\(138\) | −0.0558340 | − | 0.142688i | −0.00475291 | − | 0.0121464i | ||||
\(139\) | 8.03836 | + | 1.41738i | 0.681805 | + | 0.120221i | 0.503815 | − | 0.863812i | \(-0.331929\pi\) |
0.177990 | + | 0.984032i | \(0.443041\pi\) | |||||||
\(140\) | 0.605642 | + | 0.982350i | 0.0511861 | + | 0.0830238i | ||||
\(141\) | 5.02522 | + | 4.79040i | 0.423200 | + | 0.403424i | ||||
\(142\) | 0.0449306 | − | 0.0641675i | 0.00377049 | − | 0.00538482i | ||||
\(143\) | 2.43508 | − | 9.08786i | 0.203632 | − | 0.759965i | ||||
\(144\) | 9.54753 | + | 7.26250i | 0.795628 | + | 0.605209i | ||||
\(145\) | 4.70851 | + | 9.38026i | 0.391020 | + | 0.778988i | ||||
\(146\) | −0.0749784 | + | 0.206002i | −0.00620526 | + | 0.0170488i | ||||
\(147\) | −2.36759 | − | 11.7733i | −0.195276 | − | 0.971045i | ||||
\(148\) | 6.44617 | − | 0.563966i | 0.529872 | − | 0.0463578i | ||||
\(149\) | −14.7726 | − | 12.3956i | −1.21021 | − | 1.01549i | −0.999278 | − | 0.0379911i | \(-0.987904\pi\) |
−0.210937 | − | 0.977500i | \(-0.567651\pi\) | |||||||
\(150\) | 0.0855496 | − | 0.100805i | 0.00698510 | − | 0.00823073i | ||||
\(151\) | −14.1147 | − | 5.13734i | −1.14864 | − | 0.418070i | −0.303613 | − | 0.952795i | \(-0.598193\pi\) |
−0.845026 | + | 0.534725i | \(0.820415\pi\) | |||||||
\(152\) | 0.0897672 | + | 0.335016i | 0.00728108 | + | 0.0271734i | ||||
\(153\) | −0.208389 | + | 5.28249i | −0.0168473 | + | 0.427064i | ||||
\(154\) | 0.0149266 | − | 0.00861785i | 0.00120282 | − | 0.000694446i | ||||
\(155\) | 10.7891 | + | 4.65662i | 0.866603 | + | 0.374029i | ||||
\(156\) | −7.23980 | − | 1.75544i | −0.579648 | − | 0.140548i | ||||
\(157\) | 2.11753 | + | 0.987420i | 0.168997 | + | 0.0788047i | 0.505276 | − | 0.862958i | \(-0.331391\pi\) |
−0.336279 | + | 0.941762i | \(0.609168\pi\) | |||||||
\(158\) | −0.0387066 | + | 0.0271027i | −0.00307933 | + | 0.00215617i | ||||
\(159\) | −11.8514 | − | 16.0922i | −0.939878 | − | 1.27620i | ||||
\(160\) | −0.321233 | − | 0.254106i | −0.0253957 | − | 0.0200889i | ||||
\(161\) | − | 1.49546i | − | 0.117859i | ||||||
\(162\) | 0.0874311 | − | 0.105994i | 0.00686924 | − | 0.00832767i | ||||
\(163\) | 10.7302 | − | 10.7302i | 0.840451 | − | 0.840451i | −0.148467 | − | 0.988917i | \(-0.547434\pi\) |
0.988917 | + | 0.148467i | \(0.0474338\pi\) | |||||||
\(164\) | 0.576705 | − | 0.483913i | 0.0450331 | − | 0.0377872i | ||||
\(165\) | 12.5955 | + | 11.3310i | 0.980562 | + | 0.882120i | ||||
\(166\) | 0.0131678 | − | 0.0746781i | 0.00102202 | − | 0.00579615i | ||||
\(167\) | 8.20013 | − | 17.5852i | 0.634545 | − | 1.36079i | −0.281442 | − | 0.959578i | \(-0.590813\pi\) |
0.915987 | − | 0.401208i | \(-0.131410\pi\) | |||||||
\(168\) | −0.0142095 | − | 0.0233058i | −0.00109628 | − | 0.00179808i | ||||
\(169\) | −8.24701 | + | 1.45417i | −0.634385 | + | 0.111859i | ||||
\(170\) | 0.00351027 | − | 0.0600545i | 0.000269225 | − | 0.00460597i | ||||
\(171\) | −16.6201 | + | 3.75798i | −1.27097 | + | 0.287380i | ||||
\(172\) | 17.5918 | − | 4.71370i | 1.34136 | − | 0.359416i | ||||
\(173\) | 2.45707 | + | 5.26921i | 0.186808 | + | 0.400610i | 0.977300 | − | 0.211862i | \(-0.0679528\pi\) |
−0.790492 | + | 0.612472i | \(0.790175\pi\) | |||||||
\(174\) | −0.0551296 | − | 0.111202i | −0.00417936 | − | 0.00843018i | ||||
\(175\) | 1.13607 | − | 0.611958i | 0.0858791 | − | 0.0462597i | ||||
\(176\) | 11.2435 | − | 13.3995i | 0.847510 | − | 1.01002i | ||||
\(177\) | 19.1810 | − | 3.85728i | 1.44173 | − | 0.289931i | ||||
\(178\) | 0.0400103 | − | 0.0186571i | 0.00299890 | − | 0.00139841i | ||||
\(179\) | 4.77974 | − | 8.27875i | 0.357254 | − | 0.618783i | −0.630247 | − | 0.776395i | \(-0.717046\pi\) |
0.987501 | + | 0.157612i | \(0.0503796\pi\) | |||||||
\(180\) | 8.73080 | − | 10.1849i | 0.650755 | − | 0.759134i | ||||
\(181\) | 6.93879 | + | 12.0183i | 0.515756 | + | 0.893315i | 0.999833 | + | 0.0182899i | \(0.00582219\pi\) |
−0.484077 | + | 0.875026i | \(0.660844\pi\) | |||||||
\(182\) | 0.00694161 | + | 0.00486056i | 0.000514546 | + | 0.000360289i | ||||
\(183\) | 0.502668 | + | 21.0115i | 0.0371583 | + | 1.55321i | ||||
\(184\) | 0.121018 | + | 0.332494i | 0.00892157 | + | 0.0245118i | ||||
\(185\) | −0.208941 | − | 7.23239i | −0.0153616 | − | 0.531736i | ||||
\(186\) | −0.127312 | − | 0.0556997i | −0.00933500 | − | 0.00408410i | ||||
\(187\) | 7.67937 | + | 0.671857i | 0.561571 | + | 0.0491311i | ||||
\(188\) | −5.66801 | − | 5.66801i | −0.413382 | − | 0.413382i | ||||
\(189\) | 1.17163 | − | 0.652424i | 0.0852234 | − | 0.0474569i | ||||
\(190\) | 0.189900 | − | 0.0391701i | 0.0137768 | − | 0.00284170i | ||||
\(191\) | −7.63489 | − | 9.09890i | −0.552441 | − | 0.658374i | 0.415488 | − | 0.909599i | \(-0.363611\pi\) |
−0.967929 | + | 0.251225i | \(0.919167\pi\) | |||||||
\(192\) | −10.8170 | − | 8.64426i | −0.780652 | − | 0.623846i | ||||
\(193\) | −6.94425 | − | 9.91741i | −0.499858 | − | 0.713871i | 0.487368 | − | 0.873197i | \(-0.337957\pi\) |
−0.987226 | + | 0.159325i | \(0.949068\pi\) | |||||||
\(194\) | −0.0676068 | + | 0.0246069i | −0.00485389 | + | 0.00176667i | ||||
\(195\) | −2.43190 | + | 7.96696i | −0.174152 | + | 0.570526i | ||||
\(196\) | 2.40766 | + | 13.6545i | 0.171976 | + | 0.975323i | ||||
\(197\) | 5.74222 | + | 1.53862i | 0.409116 | + | 0.109622i | 0.457507 | − | 0.889206i | \(-0.348743\pi\) |
−0.0483907 | + | 0.998828i | \(0.515409\pi\) | |||||||
\(198\) | −0.148283 | − | 0.134733i | −0.0105380 | − | 0.00957508i | ||||
\(199\) | 4.84519 | + | 2.79737i | 0.343466 | + | 0.198300i | 0.661804 | − | 0.749677i | \(-0.269791\pi\) |
−0.318337 | + | 0.947977i | \(0.603124\pi\) | |||||||
\(200\) | −0.203068 | + | 0.227995i | −0.0143591 | + | 0.0161217i | ||||
\(201\) | 0.201356 | − | 3.17433i | 0.0142025 | − | 0.223900i | ||||
\(202\) | −0.00384421 | − | 0.0439395i | −0.000270478 | − | 0.00309157i | ||||
\(203\) | −0.105579 | − | 1.20678i | −0.00741022 | − | 0.0846992i | ||||
\(204\) | 0.386398 | − | 6.09149i | 0.0270533 | − | 0.426490i | ||||
\(205\) | −0.502544 | − | 0.675325i | −0.0350992 | − | 0.0471668i | ||||
\(206\) | −0.133522 | − | 0.0770888i | −0.00930290 | − | 0.00537103i | ||||
\(207\) | −16.5569 | + | 5.29700i | −1.15078 | + | 0.368167i | ||||
\(208\) | 8.30699 | + | 2.22585i | 0.575986 | + | 0.154335i | ||||
\(209\) | 4.31456 | + | 24.4691i | 0.298444 | + | 1.69256i | ||||
\(210\) | −0.0134705 | + | 0.00716998i | −0.000929549 | + | 0.000494776i | ||||
\(211\) | 5.33826 | − | 1.94297i | 0.367501 | − | 0.133759i | −0.151667 | − | 0.988432i | \(-0.548464\pi\) |
0.519168 | + | 0.854672i | \(0.326242\pi\) | |||||||
\(212\) | 13.2350 | + | 18.9015i | 0.908980 | + | 1.29816i | ||||
\(213\) | −6.94267 | − | 5.54813i | −0.475704 | − | 0.380151i | ||||
\(214\) | 0.147470 | + | 0.175748i | 0.0100808 | + | 0.0120139i | ||||
\(215\) | −4.11390 | − | 19.9445i | −0.280566 | − | 1.36020i | ||||
\(216\) | −0.207698 | + | 0.239869i | −0.0141321 | + | 0.0163210i | ||||
\(217\) | −0.959041 | − | 0.959041i | −0.0651039 | − | 0.0651039i | ||||
\(218\) | −0.182550 | − | 0.0159710i | −0.0123638 | − | 0.00108169i | ||||
\(219\) | 22.7860 | + | 9.96897i | 1.53974 | + | 0.673641i | ||||
\(220\) | −14.2253 | − | 13.4265i | −0.959072 | − | 0.905214i | ||||
\(221\) | 1.29628 | + | 3.56150i | 0.0871973 | + | 0.239573i | ||||
\(222\) | 0.00204637 | + | 0.0855382i | 0.000137344 | + | 0.00574095i | ||||
\(223\) | 10.8010 | + | 7.56295i | 0.723289 | + | 0.506452i | 0.876296 | − | 0.481773i | \(-0.160007\pi\) |
−0.153007 | + | 0.988225i | \(0.548896\pi\) | |||||||
\(224\) | 0.0236367 | + | 0.0409400i | 0.00157929 | + | 0.00273542i | ||||
\(225\) | −10.7993 | − | 10.4104i | −0.719952 | − | 0.694024i | ||||
\(226\) | 0.0709048 | − | 0.122811i | 0.00471652 | − | 0.00816925i | ||||
\(227\) | 13.2080 | − | 6.15899i | 0.876646 | − | 0.408787i | 0.0684181 | − | 0.997657i | \(-0.478205\pi\) |
0.808228 | + | 0.588870i | \(0.200427\pi\) | |||||||
\(228\) | 19.2873 | − | 3.87866i | 1.27733 | − | 0.256870i | ||||
\(229\) | −5.35302 | + | 6.37948i | −0.353738 | + | 0.421568i | −0.913343 | − | 0.407191i | \(-0.866508\pi\) |
0.559605 | + | 0.828759i | \(0.310953\pi\) | |||||||
\(230\) | 0.189512 | − | 0.0566933i | 0.0124960 | − | 0.00373825i | ||||
\(231\) | −0.868552 | − | 1.75196i | −0.0571466 | − | 0.115270i | ||||
\(232\) | 0.121131 | + | 0.259766i | 0.00795262 | + | 0.0170545i | ||||
\(233\) | −26.7094 | + | 7.15675i | −1.74979 | + | 0.468854i | −0.984581 | − | 0.174930i | \(-0.944030\pi\) |
−0.765207 | + | 0.643784i | \(0.777363\pi\) | |||||||
\(234\) | 0.0292258 | − | 0.0940698i | 0.00191055 | − | 0.00614954i | ||||
\(235\) | −6.69679 | + | 5.95715i | −0.436850 | + | 0.388602i | ||||
\(236\) | −22.2459 | + | 3.92255i | −1.44808 | + | 0.255336i | ||||
\(237\) | 2.79071 | + | 4.57722i | 0.181276 | + | 0.297322i | ||||
\(238\) | −0.00293432 | + | 0.00629266i | −0.000190204 | + | 0.000407893i | ||||
\(239\) | 3.76477 | − | 21.3510i | 0.243522 | − | 1.38108i | −0.580377 | − | 0.814348i | \(-0.697095\pi\) |
0.823899 | − | 0.566736i | \(-0.191794\pi\) | |||||||
\(240\) | −10.3574 | + | 11.5133i | −0.668569 | + | 0.743180i | ||||
\(241\) | 3.99926 | − | 3.35578i | 0.257615 | − | 0.216165i | −0.504828 | − | 0.863220i | \(-0.668444\pi\) |
0.762443 | + | 0.647055i | \(0.224000\pi\) | |||||||
\(242\) | −0.0878299 | + | 0.0878299i | −0.00564592 | + | 0.00564592i | ||||
\(243\) | −11.3732 | − | 10.6607i | −0.729593 | − | 0.683882i | ||||
\(244\) | − | 24.2661i | − | 1.55348i | ||||||
\(245\) | 15.3991 | − | 1.79666i | 0.983811 | − | 0.114784i | ||||
\(246\) | 0.00590315 | + | 0.00801549i | 0.000376371 | + | 0.000511049i | ||||
\(247\) | −10.0068 | + | 7.00687i | −0.636721 | + | 0.445837i | ||||
\(248\) | 0.290838 | + | 0.135620i | 0.0184682 | + | 0.00861188i | ||||
\(249\) | −8.36086 | − | 2.02727i | −0.529848 | − | 0.128473i | ||||
\(250\) | 0.120619 | + | 0.120769i | 0.00762862 | + | 0.00763811i | ||||
\(251\) | 12.0778 | − | 6.97313i | 0.762345 | − | 0.440140i | −0.0677923 | − | 0.997699i | \(-0.521596\pi\) |
0.830137 | + | 0.557560i | \(0.188262\pi\) | |||||||
\(252\) | −1.37035 | + | 0.720698i | −0.0863239 | + | 0.0453997i | ||||
\(253\) | 6.56054 | + | 24.4843i | 0.412458 | + | 1.53931i | ||||
\(254\) | 0.278826 | + | 0.101484i | 0.0174951 | + | 0.00636770i | ||||
\(255\) | −6.77447 | − | 0.828770i | −0.424234 | − | 0.0518996i | ||||
\(256\) | 12.2424 | + | 10.2726i | 0.765152 | + | 0.642039i | ||||
\(257\) | −9.33717 | + | 0.816897i | −0.582437 | + | 0.0509566i | −0.374567 | − | 0.927200i | \(-0.622209\pi\) |
−0.207870 | + | 0.978156i | \(0.566653\pi\) | |||||||
\(258\) | 0.0474781 | + | 0.236093i | 0.00295586 | + | 0.0146985i | ||||
\(259\) | −0.285619 | + | 0.784731i | −0.0177475 | + | 0.0487608i | ||||
\(260\) | 3.02699 | − | 9.12859i | 0.187726 | − | 0.566131i | ||||
\(261\) | −12.9868 | + | 5.44338i | −0.803861 | + | 0.336937i | ||||
\(262\) | −0.0180436 | + | 0.0673396i | −0.00111474 | + | 0.00416025i | ||||
\(263\) | 5.75656 | − | 8.22122i | 0.354965 | − | 0.506942i | −0.601467 | − | 0.798897i | \(-0.705417\pi\) |
0.956432 | + | 0.291955i | \(0.0943059\pi\) | |||||||
\(264\) | 0.334885 | + | 0.319236i | 0.0206107 | + | 0.0196476i | ||||
\(265\) | 21.9625 | − | 13.5404i | 1.34914 | − | 0.831779i | ||||
\(266\) | −0.0220392 | − | 0.00388610i | −0.00135131 | − | 0.000238272i | ||||
\(267\) | −1.82509 | − | 4.66416i | −0.111694 | − | 0.285442i | ||||
\(268\) | −0.320066 | + | 3.65837i | −0.0195511 | + | 0.223470i | ||||
\(269\) | 1.84882 | 0.112724 | 0.0563622 | − | 0.998410i | \(-0.482050\pi\) | ||||
0.0563622 | + | 0.998410i | \(0.482050\pi\) | |||||||
\(270\) | 0.127095 | + | 0.123741i | 0.00773475 | + | 0.00753061i | ||||
\(271\) | 14.0068 | 0.850851 | 0.425426 | − | 0.904993i | \(-0.360124\pi\) | ||||
0.425426 | + | 0.904993i | \(0.360124\pi\) | |||||||
\(272\) | −0.614129 | + | 7.01953i | −0.0372370 | + | 0.425621i | ||||
\(273\) | 0.600193 | − | 0.751055i | 0.0363254 | − | 0.0454559i | ||||
\(274\) | −0.105185 | − | 0.0185469i | −0.00635445 | − | 0.00112046i | ||||
\(275\) | −15.9156 | + | 15.0031i | −0.959747 | + | 0.904723i | ||||
\(276\) | 19.2568 | − | 5.65680i | 1.15912 | − | 0.340499i | ||||
\(277\) | 10.4313 | − | 14.8975i | 0.626758 | − | 0.895103i | −0.372703 | − | 0.927951i | \(-0.621569\pi\) |
0.999460 | + | 0.0328481i | \(0.0104577\pi\) | |||||||
\(278\) | 0.0322521 | − | 0.120367i | 0.00193435 | − | 0.00721911i | ||||
\(279\) | −7.22097 | + | 14.0149i | −0.432308 | + | 0.839051i | ||||
\(280\) | 0.0314940 | − | 0.0158087i | 0.00188212 | − | 0.000944750i | ||||
\(281\) | −8.98091 | + | 24.6748i | −0.535756 | + | 1.47198i | 0.316368 | + | 0.948637i | \(0.397537\pi\) |
−0.852124 | + | 0.523341i | \(0.824686\pi\) | |||||||
\(282\) | 0.0795419 | − | 0.0700527i | 0.00473665 | − | 0.00417158i | ||||
\(283\) | −18.2738 | + | 1.59875i | −1.08627 | + | 0.0950360i | −0.616196 | − | 0.787593i | \(-0.711327\pi\) |
−0.470071 | + | 0.882629i | \(0.655772\pi\) | |||||||
\(284\) | 7.86028 | + | 6.59556i | 0.466422 | + | 0.391374i | ||||
\(285\) | −3.07115 | − | 21.7827i | −0.181919 | − | 1.29030i | ||||
\(286\) | −0.134974 | − | 0.0491264i | −0.00798117 | − | 0.00290491i | ||||
\(287\) | 0.0251463 | + | 0.0938472i | 0.00148434 | + | 0.00553962i | ||||
\(288\) | 0.369541 | − | 0.406704i | 0.0217754 | − | 0.0239652i | ||||
\(289\) | 12.0331 | − | 6.94732i | 0.707830 | − | 0.408666i | ||||
\(290\) | 0.148926 | − | 0.0591288i | 0.00874523 | − | 0.00347216i | ||||
\(291\) | 2.30055 | + | 7.83152i | 0.134861 | + | 0.459092i | ||||
\(292\) | −26.0252 | − | 12.1357i | −1.52301 | − | 0.710191i | ||||
\(293\) | 8.60861 | − | 6.02781i | 0.502920 | − | 0.352149i | −0.294422 | − | 0.955675i | \(-0.595127\pi\) |
0.797343 | + | 0.603527i | \(0.206238\pi\) | |||||||
\(294\) | −0.182206 | + | 0.0203425i | −0.0106265 | + | 0.00118640i | ||||
\(295\) | 2.92711 | + | 25.0881i | 0.170423 | + | 1.46069i | ||||
\(296\) | − | 0.197587i | − | 0.0114845i | ||||||
\(297\) | −16.3202 | + | 15.8216i | −0.946993 | + | 0.918064i | ||||
\(298\) | −0.208177 | + | 0.208177i | −0.0120594 | + | 0.0120594i | ||||
\(299\) | −9.54693 | + | 8.01082i | −0.552113 | + | 0.463278i | ||||
\(300\) | 12.1774 | + | 12.3142i | 0.703065 | + | 0.710962i | ||||
\(301\) | −0.408144 | + | 2.31470i | −0.0235250 | + | 0.133417i | ||||
\(302\) | −0.0969127 | + | 0.207830i | −0.00557670 | + | 0.0119593i | ||||
\(303\) | −5.00267 | + | 0.119681i | −0.287396 | + | 0.00687551i | ||||
\(304\) | −22.3666 | + | 3.94384i | −1.28281 | + | 0.226195i | ||||
\(305\) | −27.0872 | − | 1.58328i | −1.55101 | − | 0.0906586i | ||||
\(306\) | 0.0800623 | + | 0.0101981i | 0.00457685 | + | 0.000582987i | ||||
\(307\) | −12.3714 | + | 3.31491i | −0.706074 | + | 0.189192i | −0.593949 | − | 0.804502i | \(-0.702432\pi\) |
−0.112124 | + | 0.993694i | \(0.535765\pi\) | |||||||
\(308\) | 0.954137 | + | 2.04615i | 0.0543670 | + | 0.116590i | ||||
\(309\) | −9.68736 | + | 14.5643i | −0.551095 | + | 0.828537i | ||||
\(310\) | 0.0851767 | − | 0.157892i | 0.00483771 | − | 0.00896765i | ||||
\(311\) | 13.5014 | − | 16.0903i | 0.765592 | − | 0.912397i | −0.232596 | − | 0.972573i | \(-0.574722\pi\) |
0.998188 | + | 0.0601768i | \(0.0191664\pi\) | |||||||
\(312\) | −0.0726664 | + | 0.215556i | −0.00411392 | + | 0.0122035i | ||||
\(313\) | −26.7887 | + | 12.4918i | −1.51419 | + | 0.706078i | −0.989408 | − | 0.145159i | \(-0.953631\pi\) |
−0.524781 | + | 0.851237i | \(0.675853\pi\) | |||||||
\(314\) | 0.0178349 | − | 0.0308909i | 0.00100648 | − | 0.00174327i | ||||
\(315\) | 0.715075 | + | 1.57669i | 0.0402899 | + | 0.0888363i | ||||
\(316\) | −3.09474 | − | 5.36025i | −0.174093 | − | 0.301538i | ||||
\(317\) | −21.7523 | − | 15.2311i | −1.22173 | − | 0.855465i | −0.228720 | − | 0.973492i | \(-0.573454\pi\) |
−0.993010 | + | 0.118027i | \(0.962343\pi\) | |||||||
\(318\) | −0.260510 | + | 0.158832i | −0.0146087 | + | 0.00890684i | ||||
\(319\) | 7.02268 | + | 19.2947i | 0.393195 | + | 1.08029i | ||||
\(320\) | 12.2700 | − | 13.0000i | 0.685912 | − | 0.726723i | ||||
\(321\) | 20.9582 | − | 15.4351i | 1.16977 | − | 0.861501i | ||||
\(322\) | −0.0227439 | − | 0.00198984i | −0.00126747 | − | 0.000110889i | ||||
\(323\) | −7.07752 | − | 7.07752i | −0.393804 | − | 0.393804i | ||||
\(324\) | 12.8330 | + | 12.6190i | 0.712945 | + | 0.701054i | ||||
\(325\) | −9.99237 | − | 3.97451i | −0.554277 | − | 0.220466i | ||||
\(326\) | −0.148914 | − | 0.177468i | −0.00824756 | − | 0.00982906i | ||||
\(327\) | −3.11942 | + | 20.5545i | −0.172504 | + | 1.13667i | ||||
\(328\) | −0.0131854 | − | 0.0188306i | −0.000728040 | − | 0.00103975i | ||||
\(329\) | 0.972097 | − | 0.353814i | 0.0535934 | − | 0.0195064i | ||||
\(330\) | 0.189089 | − | 0.176484i | 0.0104090 | − | 0.00971513i | ||||
\(331\) | −1.72647 | − | 9.79132i | −0.0948956 | − | 0.538179i | −0.994779 | − | 0.102050i | \(-0.967460\pi\) |
0.899884 | − | 0.436130i | \(-0.143651\pi\) | |||||||
\(332\) | 9.59443 | + | 2.57082i | 0.526563 | + | 0.141092i | ||||
\(333\) | 9.69977 | + | 0.382646i | 0.531544 | + | 0.0209689i | ||||
\(334\) | −0.256536 | − | 0.148111i | −0.0140371 | − | 0.00810430i | ||||
\(335\) | 4.06280 | + | 0.595973i | 0.221975 | + | 0.0325615i | ||||
\(336\) | 1.60142 | − | 0.793923i | 0.0873647 | − | 0.0433121i | ||||
\(337\) | −1.22264 | − | 13.9748i | −0.0666015 | − | 0.761258i | −0.953912 | − | 0.300086i | \(-0.902985\pi\) |
0.887311 | − | 0.461172i | \(-0.152571\pi\) | |||||||
\(338\) | 0.0111426 | + | 0.127361i | 0.000606078 | + | 0.00692750i | ||||
\(339\) | −13.3960 | − | 8.91025i | −0.727571 | − | 0.483938i | ||||
\(340\) | 7.79645 | + | 1.14366i | 0.422822 | + | 0.0620238i | ||||
\(341\) | 19.9091 | + | 11.4945i | 1.07814 | + | 0.622463i | ||||
\(342\) | 0.0350393 | + | 0.257770i | 0.00189471 | + | 0.0139386i | ||||
\(343\) | −3.47343 | − | 0.930702i | −0.187547 | − | 0.0502532i | ||||
\(344\) | −0.0965688 | − | 0.547669i | −0.00520664 | − | 0.0295283i | ||||
\(345\) | −5.05801 | − | 21.8647i | −0.272314 | − | 1.17715i | ||||
\(346\) | 0.0834068 | − | 0.0303576i | 0.00448397 | − | 0.00163203i | ||||
\(347\) | 3.50208 | + | 5.00149i | 0.188001 | + | 0.268494i | 0.902077 | − | 0.431574i | \(-0.142042\pi\) |
−0.714076 | + | 0.700068i | \(0.753153\pi\) | |||||||
\(348\) | 15.1401 | − | 5.92434i | 0.811595 | − | 0.317578i | ||||
\(349\) | −2.45708 | − | 2.92823i | −0.131524 | − | 0.156745i | 0.696263 | − | 0.717787i | \(-0.254845\pi\) |
−0.827787 | + | 0.561042i | \(0.810400\pi\) | |||||||
\(350\) | −0.00779540 | − | 0.0180924i | −0.000416682 | − | 0.000967079i | ||||
\(351\) | −10.4412 | − | 3.98472i | −0.557308 | − | 0.212689i | ||||
\(352\) | −0.566592 | − | 0.566592i | −0.0301995 | − | 0.0301995i | ||||
\(353\) | −2.21879 | − | 0.194119i | −0.118094 | − | 0.0103319i | 0.0279554 | − | 0.999609i | \(-0.491100\pi\) |
−0.146050 | + | 0.989277i | \(0.546656\pi\) | |||||||
\(354\) | −0.0331420 | − | 0.296849i | −0.00176148 | − | 0.0157774i | ||||
\(355\) | 7.87521 | − | 8.34377i | 0.417973 | − | 0.442841i | ||||
\(356\) | 1.97779 | + | 5.43394i | 0.104823 | + | 0.287998i | ||||
\(357\) | 0.691413 | + | 0.377433i | 0.0365934 | + | 0.0199759i | ||||
\(358\) | −0.119549 | − | 0.0837088i | −0.00631834 | − | 0.00442415i | ||||
\(359\) | 5.90045 | + | 10.2199i | 0.311414 | + | 0.539385i | 0.978669 | − | 0.205445i | \(-0.0658641\pi\) |
−0.667255 | + | 0.744829i | \(0.732531\pi\) | |||||||
\(360\) | −0.286578 | − | 0.292688i | −0.0151040 | − | 0.0154260i | ||||
\(361\) | 6.63064 | − | 11.4846i | 0.348981 | − | 0.604453i | ||||
\(362\) | 0.192015 | − | 0.0895381i | 0.0100921 | − | 0.00470602i | ||||
\(363\) | 9.31374 | + | 10.5753i | 0.488844 | + | 0.555062i | ||||
\(364\) | −0.713504 | + | 0.850321i | −0.0373978 | + | 0.0445689i | ||||
\(365\) | −15.2447 | + | 28.2590i | −0.797944 | + | 1.47915i | ||||
\(366\) | 0.320225 | + | 0.0203126i | 0.0167384 | + | 0.00106176i | ||||
\(367\) | −0.896047 | − | 1.92158i | −0.0467733 | − | 0.100306i | 0.881532 | − | 0.472123i | \(-0.156512\pi\) |
−0.928306 | + | 0.371818i | \(0.878735\pi\) | |||||||
\(368\) | −22.3805 | + | 5.99683i | −1.16666 | + | 0.312607i | ||||
\(369\) | 0.949952 | − | 0.610817i | 0.0494525 | − | 0.0317978i | ||||
\(370\) | −0.110273 | − | 0.00644559i | −0.00573281 | − | 0.000335090i | ||||
\(371\) | −2.93265 | + | 0.517106i | −0.152256 | + | 0.0268468i | ||||
\(372\) | 8.72170 | − | 15.9771i | 0.452199 | − | 0.828376i | ||||
\(373\) | 1.40277 | − | 3.00825i | 0.0726328 | − | 0.155762i | −0.866639 | − | 0.498936i | \(-0.833724\pi\) |
0.939272 | + | 0.343174i | \(0.111502\pi\) | |||||||
\(374\) | 0.0204361 | − | 0.115899i | 0.00105672 | − | 0.00599298i | ||||
\(375\) | 14.5404 | − | 12.7897i | 0.750863 | − | 0.660458i | ||||
\(376\) | −0.187500 | + | 0.157331i | −0.00966957 | + | 0.00811373i | ||||
\(377\) | −7.13843 | + | 7.13843i | −0.367648 | + | 0.367648i | ||||
\(378\) | −0.00836353 | − | 0.0186870i | −0.000430173 | − | 0.000961153i | ||||
\(379\) | − | 15.7634i | − | 0.809713i | −0.914380 | − | 0.404856i | \(-0.867322\pi\) | ||
0.914380 | − | 0.404856i | \(-0.132678\pi\) | |||||||
\(380\) | 2.94334 | + | 25.2272i | 0.150990 | + | 1.29413i | ||||
\(381\) | 13.4932 | − | 30.8413i | 0.691276 | − | 1.58005i | ||||
\(382\) | −0.148541 | + | 0.104009i | −0.00760001 | + | 0.00532158i | ||||
\(383\) | 24.9622 | + | 11.6401i | 1.27551 | + | 0.594781i | 0.938031 | − | 0.346552i | \(-0.112648\pi\) |
0.337480 | + | 0.941333i | \(0.390425\pi\) | |||||||
\(384\) | −0.583680 | + | 0.612292i | −0.0297858 | + | 0.0312459i | ||||
\(385\) | 2.34629 | − | 0.931559i | 0.119578 | − | 0.0474766i | ||||
\(386\) | −0.160070 | + | 0.0924166i | −0.00814736 | + | 0.00470388i | ||||
\(387\) | 27.0727 | − | 3.68006i | 1.37618 | − | 0.187068i | ||||
\(388\) | −2.43913 | − | 9.10294i | −0.123828 | − | 0.462132i | ||||
\(389\) | 28.2091 | + | 10.2673i | 1.43026 | + | 0.520571i | 0.937005 | − | 0.349315i | \(-0.113586\pi\) |
0.493252 | + | 0.869886i | \(0.335808\pi\) | |||||||
\(390\) | 0.117931 | + | 0.0475866i | 0.00597165 | + | 0.00240964i | ||||
\(391\) | −7.82217 | − | 6.56358i | −0.395584 | − | 0.331934i | ||||
\(392\) | 0.421765 | − | 0.0368997i | 0.0213024 | − | 0.00186372i | ||||
\(393\) | 7.49494 | + | 2.52663i | 0.378070 | + | 0.127452i | ||||
\(394\) | 0.0310408 | − | 0.0852840i | 0.00156382 | − | 0.00429655i | ||||
\(395\) | −6.18535 | + | 3.10479i | −0.311219 | + | 0.156219i | ||||
\(396\) | 19.2742 | − | 17.8112i | 0.968566 | − | 0.895048i | ||||
\(397\) | −1.23812 | + | 4.62074i | −0.0621397 | + | 0.231908i | −0.990011 | − | 0.140993i | \(-0.954970\pi\) |
0.927871 | + | 0.372902i | \(0.121637\pi\) | |||||||
\(398\) | 0.0489911 | − | 0.0699666i | 0.00245570 | − | 0.00350711i | ||||
\(399\) | −0.598293 | + | 2.46748i | −0.0299521 | + | 0.123528i | ||||
\(400\) | −13.7140 | − | 14.5481i | −0.685700 | − | 0.727404i | ||||
\(401\) | −8.47214 | − | 1.49387i | −0.423078 | − | 0.0746001i | −0.0419444 | − | 0.999120i | \(-0.513355\pi\) |
−0.381134 | + | 0.924520i | \(0.624466\pi\) | |||||||
\(402\) | −0.0480094 | − | 0.00728606i | −0.00239449 | − | 0.000363396i | ||||
\(403\) | −0.985106 | + | 11.2598i | −0.0490716 | + | 0.560891i | ||||
\(404\) | 5.77756 | 0.287444 | ||||||||
\(405\) | 14.9234 | − | 13.5016i | 0.741547 | − | 0.670901i | ||||
\(406\) | −0.0184939 | −0.000917838 | ||||||||
\(407\) | 1.23367 | − | 14.1009i | 0.0611508 | − | 0.698957i | ||||
\(408\) | −0.184269 | − | 0.0279653i | −0.00912267 | − | 0.00138449i | ||||
\(409\) | 8.33076 | + | 1.46894i | 0.411930 | + | 0.0726343i | 0.375773 | − | 0.926712i | \(-0.377377\pi\) |
0.0361568 | + | 0.999346i | \(0.488488\pi\) | |||||||
\(410\) | −0.0109395 | + | 0.00674443i | −0.000540261 | + | 0.000333083i | ||||
\(411\) | −2.85543 | + | 11.7764i | −0.140848 | + | 0.580885i | ||||
\(412\) | 11.5837 | − | 16.5432i | 0.570686 | − | 0.815024i | ||||
\(413\) | 0.754524 | − | 2.81592i | 0.0371277 | − | 0.138562i | ||||
\(414\) | 0.0585299 | + | 0.258856i | 0.00287659 | + | 0.0127221i | ||||
\(415\) | 3.49571 | − | 10.5421i | 0.171597 | − | 0.517493i | ||||
\(416\) | 0.134742 | − | 0.370201i | 0.00660628 | − | 0.0181506i | ||||
\(417\) | −13.3969 | − | 4.51624i | −0.656048 | − | 0.221161i | ||||
\(418\) | 0.377882 | − | 0.0330604i | 0.0184828 | − | 0.00161704i | ||||
\(419\) | 6.72816 | + | 5.64560i | 0.328692 | + | 0.275806i | 0.792167 | − | 0.610305i | \(-0.208953\pi\) |
−0.463475 | + | 0.886110i | \(0.653397\pi\) | |||||||
\(420\) | −0.781828 | − | 1.83962i | −0.0381493 | − | 0.0897641i | ||||
\(421\) | 0.538899 | + | 0.196143i | 0.0262643 | + | 0.00955944i | 0.355119 | − | 0.934821i | \(-0.384440\pi\) |
−0.328855 | + | 0.944381i | \(0.606663\pi\) | |||||||
\(422\) | −0.0224469 | − | 0.0837730i | −0.00109270 | − | 0.00407800i | ||||
\(423\) | −7.36045 | − | 9.50926i | −0.357877 | − | 0.462356i | ||||
\(424\) | 0.610187 | − | 0.352292i | 0.0296333 | − | 0.0171088i | ||||
\(425\) | 1.78532 | − | 8.62824i | 0.0866006 | − | 0.418531i | ||||
\(426\) | −0.0936172 | + | 0.0982063i | −0.00453577 | + | 0.00475811i | ||||
\(427\) | 2.83827 | + | 1.32351i | 0.137353 | + | 0.0640489i | ||||
\(428\) | −24.6170 | + | 17.2370i | −1.18991 | + | 0.833181i | ||||
\(429\) | −6.53175 | + | 14.9296i | −0.315356 | + | 0.720807i | ||||
\(430\) | −0.308803 | + | 0.0360290i | −0.0148918 | + | 0.00173747i | ||||
\(431\) | 25.0117i | 1.20477i | 0.798205 | + | 0.602386i | \(0.205783\pi\) | ||||
−0.798205 | + | 0.602386i | \(0.794217\pi\) | |||||||
\(432\) | −14.4622 | − | 14.9179i | −0.695812 | − | 0.717737i | ||||
\(433\) | −24.9892 | + | 24.9892i | −1.20090 | + | 1.20090i | −0.227011 | + | 0.973892i | \(0.572895\pi\) |
−0.973892 | + | 0.227011i | \(0.927105\pi\) | |||||||
\(434\) | −0.0158618 | + | 0.0133096i | −0.000761390 | + | 0.000638882i | ||||
\(435\) | −5.62525 | − | 17.2868i | −0.269710 | − | 0.828840i | ||||
\(436\) | 4.16812 | − | 23.6386i | 0.199617 | − | 1.13208i | ||||
\(437\) | 13.9093 | − | 29.8287i | 0.665374 | − | 1.42690i | ||||
\(438\) | 0.181933 | − | 0.333280i | 0.00869310 | − | 0.0159247i | ||||
\(439\) | −4.64923 | + | 0.819785i | −0.221896 | + | 0.0391262i | −0.283491 | − | 0.958975i | \(-0.591492\pi\) |
0.0615948 | + | 0.998101i | \(0.480381\pi\) | |||||||
\(440\) | −0.446279 | + | 0.396989i | −0.0212755 | + | 0.0189257i | ||||
\(441\) | 0.994657 | + | 20.7764i | 0.0473646 | + | 0.989352i | ||||
\(442\) | 0.0558904 | − | 0.0149758i | 0.00265844 | − | 0.000712326i | ||||
\(443\) | −12.4959 | − | 26.7976i | −0.593700 | − | 1.27319i | −0.941938 | − | 0.335787i | \(-0.890998\pi\) |
0.348238 | − | 0.937406i | \(-0.386780\pi\) | |||||||
\(444\) | −11.1853 | − | 0.709507i | −0.530829 | − | 0.0336717i | ||||
\(445\) | 6.19473 | − | 1.85318i | 0.293658 | − | 0.0878492i | ||||
\(446\) | 0.129394 | − | 0.154205i | 0.00612697 | − | 0.00730184i | ||||
\(447\) | 22.0757 | + | 25.0660i | 1.04414 | + | 1.18558i | ||||
\(448\) | −1.86990 | + | 0.871951i | −0.0883447 | + | 0.0411958i | ||||
\(449\) | 3.36725 | − | 5.83225i | 0.158910 | − | 0.275241i | −0.775566 | − | 0.631267i | \(-0.782535\pi\) |
0.934476 | + | 0.356026i | \(0.115869\pi\) | |||||||
\(450\) | −0.172697 | + | 0.150390i | −0.00814100 | + | 0.00708947i | ||||
\(451\) | −0.823409 | − | 1.42619i | −0.0387728 | − | 0.0671565i | ||||
\(452\) | 15.2161 | + | 10.6544i | 0.715706 | + | 0.501142i | ||||
\(453\) | 22.8355 | + | 12.4656i | 1.07291 | + | 0.585685i | ||||
\(454\) | −0.0760955 | − | 0.209071i | −0.00357134 | − | 0.00981217i | ||||
\(455\) | 0.902624 | + | 0.851936i | 0.0423157 | + | 0.0399394i | ||||
\(456\) | −0.0666553 | − | 0.597025i | −0.00312142 | − | 0.0279582i | ||||
\(457\) | −36.1208 | − | 3.16016i | −1.68966 | − | 0.147826i | −0.798647 | − | 0.601800i | \(-0.794450\pi\) |
−0.891015 | + | 0.453974i | \(0.850006\pi\) | |||||||
\(458\) | 0.0899006 | + | 0.0899006i | 0.00420078 | + | 0.00420078i | ||||
\(459\) | 1.72970 | − | 8.99181i | 0.0807355 | − | 0.419702i | ||||
\(460\) | 5.23438 | + | 25.3767i | 0.244054 | + | 1.18319i | ||||
\(461\) | 16.9825 | + | 20.2390i | 0.790956 | + | 0.942625i | 0.999373 | − | 0.0354156i | \(-0.0112755\pi\) |
−0.208417 | + | 0.978040i | \(0.566831\pi\) | |||||||
\(462\) | −0.0278005 | + | 0.0108784i | −0.00129340 | + | 0.000506108i | ||||
\(463\) | 6.89825 | + | 9.85172i | 0.320589 | + | 0.457848i | 0.946808 | − | 0.321799i | \(-0.104287\pi\) |
−0.626219 | + | 0.779647i | \(0.715399\pi\) | |||||||
\(464\) | −17.6368 | + | 6.41927i | −0.818767 | + | 0.298007i | ||||
\(465\) | −17.2656 | − | 10.7781i | −0.800671 | − | 0.499824i | ||||
\(466\) | 0.0733054 | + | 0.415735i | 0.00339581 | + | 0.0192586i | ||||
\(467\) | −10.6775 | − | 2.86104i | −0.494098 | − | 0.132393i | 0.00316149 | − | 0.999995i | \(-0.498994\pi\) |
−0.497260 | + | 0.867602i | \(0.665660\pi\) | |||||||
\(468\) | 11.9415 | + | 4.88762i | 0.551997 | + | 0.225930i | ||||
\(469\) | −0.410442 | − | 0.236969i | −0.0189525 | − | 0.0109422i | ||||
\(470\) | 0.0816895 | + | 0.109775i | 0.00376805 | + | 0.00506357i | ||||
\(471\) | −3.36953 | − | 2.24122i | −0.155260 | − | 0.103270i | ||||
\(472\) | 0.0601168 | + | 0.687138i | 0.00276710 | + | 0.0316281i | ||||
\(473\) | −3.47222 | − | 39.6877i | −0.159653 | − | 1.82484i | ||||
\(474\) | 0.0733265 | − | 0.0363525i | 0.00336800 | − | 0.00166972i | ||||
\(475\) | 28.3521 | − | 1.63953i | 1.30089 | − | 0.0752269i | ||||
\(476\) | −0.787631 | − | 0.454739i | −0.0361010 | − | 0.0208429i | ||||
\(477\) | 16.1127 | + | 30.6370i | 0.737750 | + | 1.40277i | ||||
\(478\) | −0.319711 | − | 0.0856663i | −0.0146232 | − | 0.00391828i | ||||
\(479\) | −0.735877 | − | 4.17337i | −0.0336231 | − | 0.190686i | 0.963370 | − | 0.268175i | \(-0.0864207\pi\) |
−0.996993 | + | 0.0774895i | \(0.975310\pi\) | |||||||
\(480\) | 0.484054 | + | 0.518626i | 0.0220939 | + | 0.0236719i | ||||
\(481\) | 6.53967 | − | 2.38024i | 0.298183 | − | 0.108530i | ||||
\(482\) | −0.0457155 | − | 0.0652884i | −0.00208228 | − | 0.00297381i | ||||
\(483\) | −0.388649 | + | 2.56089i | −0.0176842 | + | 0.116525i | ||||
\(484\) | −10.4582 | − | 12.4636i | −0.475374 | − | 0.566529i | ||||
\(485\) | −10.3204 | + | 2.12876i | −0.468625 | + | 0.0966619i | ||||
\(486\) | −0.177267 | + | 0.158786i | −0.00804100 | + | 0.00720270i | ||||
\(487\) | 16.7646 | + | 16.7646i | 0.759676 | + | 0.759676i | 0.976263 | − | 0.216587i | \(-0.0694925\pi\) |
−0.216587 | + | 0.976263i | \(0.569493\pi\) | |||||||
\(488\) | −0.738151 | − | 0.0645798i | −0.0334145 | − | 0.00292339i | ||||
\(489\) | −21.1634 | + | 15.5862i | −0.957041 | + | 0.704830i | ||||
\(490\) | −0.00683498 | − | 0.236590i | −0.000308773 | − | 0.0106880i | ||||
\(491\) | 0.697417 | + | 1.91614i | 0.0314740 | + | 0.0864740i | 0.954434 | − | 0.298421i | \(-0.0964599\pi\) |
−0.922960 | + | 0.384895i | \(0.874238\pi\) | |||||||
\(492\) | −1.11334 | + | 0.678795i | −0.0501930 | + | 0.0306024i | ||||
\(493\) | −6.77556 | − | 4.74430i | −0.305156 | − | 0.213673i | ||||
\(494\) | 0.0932500 | + | 0.161514i | 0.00419552 | + | 0.00726685i | ||||
\(495\) | −18.6244 | − | 22.6771i | −0.837103 | − | 1.01926i | ||||
\(496\) | −10.5069 | + | 18.1984i | −0.471772 | + | 0.817133i | ||||
\(497\) | −1.20016 | + | 0.559642i | −0.0538343 | + | 0.0251034i | ||||
\(498\) | −0.0419568 | + | 0.124460i | −0.00188013 | + | 0.00557718i | ||||
\(499\) | 8.77600 | − | 10.4588i | 0.392868 | − | 0.468202i | −0.532964 | − | 0.846138i | \(-0.678922\pi\) |
0.925832 | + | 0.377937i | \(0.123366\pi\) | |||||||
\(500\) | −17.1362 | + | 14.3608i | −0.766355 | + | 0.642236i | ||||
\(501\) | −18.6124 | + | 27.9826i | −0.831541 | + | 1.25017i | ||||
\(502\) | −0.0899812 | − | 0.192965i | −0.00401606 | − | 0.00861246i | ||||
\(503\) | 42.9050 | − | 11.4964i | 1.91304 | − | 0.512597i | 0.920487 | − | 0.390772i | \(-0.127792\pi\) |
0.992552 | − | 0.121825i | \(-0.0388747\pi\) | |||||||
\(504\) | 0.0182760 | + | 0.0436027i | 0.000814078 | + | 0.00194222i | ||||
\(505\) | 0.376968 | − | 6.44926i | 0.0167748 | − | 0.286988i | ||||
\(506\) | 0.381102 | − | 0.0671985i | 0.0169420 | − | 0.00298734i | ||||
\(507\) | 14.5004 | − | 0.346901i | 0.643987 | − | 0.0154064i | ||||
\(508\) | −16.4259 | + | 35.2255i | −0.728782 | + | 1.56288i | ||||
\(509\) | 0.883595 | − | 5.01112i | 0.0391647 | − | 0.222114i | −0.958943 | − | 0.283597i | \(-0.908472\pi\) |
0.998108 | + | 0.0614836i | \(0.0195832\pi\) | |||||||
\(510\) | −0.0216185 | + | 0.101928i | −0.000957281 | + | 0.00451343i | ||||
\(511\) | 2.83890 | − | 2.38212i | 0.125586 | − | 0.105379i | ||||
\(512\) | 0.863214 | − | 0.863214i | 0.0381490 | − | 0.0381490i | ||||
\(513\) | 29.4377 | − | 2.11599i | 1.29971 | − | 0.0934231i | ||||
\(514\) | 0.143093i | 0.00631155i | ||||||||
\(515\) | −17.7107 | − | 14.0098i | −0.780426 | − | 0.617344i | ||||
\(516\) | −31.3499 | + | 3.50008i | −1.38010 | + | 0.154083i | ||||
\(517\) | −14.3634 | + | 10.0573i | −0.631700 | + | 0.442321i | ||||
\(518\) | 0.0115547 | + | 0.00538802i | 0.000507682 | + | 0.000236736i | ||||
\(519\) | −2.83820 | − | 9.66177i | −0.124583 | − | 0.424105i | ||||
\(520\) | −0.269627 | − | 0.116372i | −0.0118239 | − | 0.00510326i | ||||
\(521\) | −14.9219 | + | 8.61518i | −0.653742 | + | 0.377438i | −0.789888 | − | 0.613251i | \(-0.789862\pi\) |
0.136146 | + | 0.990689i | \(0.456528\pi\) | |||||||
\(522\) | 0.0655064 | + | 0.204754i | 0.00286714 | + | 0.00896184i | ||||
\(523\) | −3.45799 | − | 12.9054i | −0.151207 | − | 0.564314i | −0.999400 | − | 0.0346265i | \(-0.988976\pi\) |
0.848193 | − | 0.529688i | \(-0.177691\pi\) | |||||||
\(524\) | −8.58116 | − | 3.12329i | −0.374870 | − | 0.136441i | ||||
\(525\) | −2.10450 | + | 0.752693i | −0.0918479 | + | 0.0328502i | ||||
\(526\) | −0.117374 | − | 0.0984884i | −0.00511775 | − | 0.00429430i | ||||
\(527\) | −9.22560 | + | 0.807135i | −0.401873 | + | 0.0351594i | ||||
\(528\) | −22.7362 | + | 20.0238i | −0.989465 | + | 0.871424i | ||||
\(529\) | 3.61738 | − | 9.93866i | 0.157277 | − | 0.432116i | ||||
\(530\) | −0.176708 | − | 0.352036i | −0.00767569 | − | 0.0152915i | ||||
\(531\) | −33.8488 | + | 1.62049i | −1.46891 | + | 0.0703233i | ||||
\(532\) | 0.758707 | − | 2.83153i | 0.0328941 | − | 0.122762i | ||||
\(533\) | 0.464412 | − | 0.663249i | 0.0201159 | − | 0.0287285i | ||||
\(534\) | −0.0733640 | + | 0.0215511i | −0.00317477 | + | 0.000932607i | ||||
\(535\) | 17.6348 | + | 28.6036i | 0.762417 | + | 1.23664i | ||||
\(536\) | 0.110432 | + | 0.0194722i | 0.00476995 | + | 0.000841071i | ||||
\(537\) | −10.3366 | + | 12.9347i | −0.446055 | + | 0.558173i | ||||
\(538\) | 0.00246001 | − | 0.0281180i | 0.000106058 | − | 0.00121225i | ||||
\(539\) | 30.3299 | 1.30640 | ||||||||
\(540\) | −17.5979 | + | 15.1720i | −0.757293 | + | 0.652897i | ||||
\(541\) | 7.10549 | 0.305489 | 0.152745 | − | 0.988266i | \(-0.451189\pi\) | ||||
0.152745 | + | 0.988266i | \(0.451189\pi\) | |||||||
\(542\) | 0.0186372 | − | 0.213024i | 0.000800535 | − | 0.00915016i | ||||
\(543\) | −8.75888 | − | 22.3840i | −0.375879 | − | 0.960589i | ||||
\(544\) | 0.317883 | + | 0.0560513i | 0.0136291 | + | 0.00240318i | ||||
\(545\) | −26.1148 | − | 6.19505i | −1.11864 | − | 0.265367i | ||||
\(546\) | −0.0106239 | − | 0.0101275i | −0.000454661 | − | 0.000433415i | ||||
\(547\) | −5.89172 | + | 8.41425i | −0.251912 | + | 0.359767i | −0.925113 | − | 0.379692i | \(-0.876030\pi\) |
0.673201 | + | 0.739459i | \(0.264919\pi\) | |||||||
\(548\) | 3.62103 | − | 13.5139i | 0.154683 | − | 0.577283i | ||||
\(549\) | 4.59979 | − | 36.1116i | 0.196314 | − | 1.54120i | ||||
\(550\) | 0.207000 | + | 0.262017i | 0.00882651 | + | 0.0111725i | ||||
\(551\) | 9.11839 | − | 25.0526i | 0.388456 | − | 1.06728i | ||||
\(552\) | −0.120826 | − | 0.600828i | −0.00514269 | − | 0.0255730i | ||||
\(553\) | 0.795750 | − | 0.0696191i | 0.0338387 | − | 0.00296050i | ||||
\(554\) | −0.212691 | − | 0.178469i | −0.00903636 | − | 0.00758240i | ||||
\(555\) | −1.52180 | + | 12.4393i | −0.0645967 | + | 0.528021i | ||||
\(556\) | 15.3384 | + | 5.58274i | 0.650495 | + | 0.236761i | ||||
\(557\) | −1.48759 | − | 5.55174i | −0.0630310 | − | 0.235235i | 0.927223 | − | 0.374511i | \(-0.122189\pi\) |
−0.990254 | + | 0.139276i | \(0.955523\pi\) | |||||||
\(558\) | 0.203540 | + | 0.128469i | 0.00861652 | + | 0.00543853i | ||||
\(559\) | 16.9632 | − | 9.79373i | 0.717468 | − | 0.414230i | ||||
\(560\) | 0.851516 | + | 2.14469i | 0.0359831 | + | 0.0906297i | ||||
\(561\) | −12.9759 | − | 3.14628i | −0.547841 | − | 0.132836i | ||||
\(562\) | 0.363321 | + | 0.169419i | 0.0153258 | + | 0.00714652i | ||||
\(563\) | −20.2152 | + | 14.1548i | −0.851969 | + | 0.596555i | −0.915903 | − | 0.401399i | \(-0.868524\pi\) |
0.0639343 | + | 0.997954i | \(0.479635\pi\) | |||||||
\(564\) | 8.23311 | + | 11.1792i | 0.346676 | + | 0.470728i | ||||
\(565\) | 12.8859 | − | 16.2900i | 0.542114 | − | 0.685323i | ||||
\(566\) | 0.280047i | 0.0117713i | ||||||||
\(567\) | −2.17590 | + | 0.812749i | −0.0913792 | + | 0.0341322i | ||||
\(568\) | 0.221549 | − | 0.221549i | 0.00929600 | − | 0.00929600i | ||||
\(569\) | −1.46173 | + | 1.22654i | −0.0612790 | + | 0.0514192i | −0.672913 | − | 0.739722i | \(-0.734957\pi\) |
0.611634 | + | 0.791141i | \(0.290513\pi\) | |||||||
\(570\) | −0.335372 | + | 0.0177243i | −0.0140472 | + | 0.000742389i | ||||
\(571\) | −7.82276 | + | 44.3651i | −0.327372 | + | 1.85662i | 0.165080 | + | 0.986280i | \(0.447212\pi\) |
−0.492452 | + | 0.870340i | \(0.663899\pi\) | |||||||
\(572\) | 7.95143 | − | 17.0519i | 0.332466 | − | 0.712976i | ||||
\(573\) | 10.7096 | + | 17.5655i | 0.447401 | + | 0.733811i | ||||
\(574\) | 0.00146075 | 0.000257569i | 6.09704e−5 | 1.07507e-5i | ||||||
\(575\) | 28.6685 | − | 4.18717i | 1.19556 | − | 0.174617i | ||||
\(576\) | 16.2770 | + | 17.6140i | 0.678210 | + | 0.733917i | ||||
\(577\) | −21.9121 | + | 5.87132i | −0.912211 | + | 0.244426i | −0.684253 | − | 0.729245i | \(-0.739872\pi\) |
−0.227958 | + | 0.973671i | \(0.573205\pi\) | |||||||
\(578\) | −0.0896482 | − | 0.192251i | −0.00372888 | − | 0.00799660i | ||||
\(579\) | 9.31423 | + | 18.7877i | 0.387086 | + | 0.780791i | ||||
\(580\) | 6.01552 | + | 20.1084i | 0.249781 | + | 0.834956i | ||||
\(581\) | −0.823988 | + | 0.981990i | −0.0341848 | + | 0.0407398i | ||||
\(582\) | 0.122168 | − | 0.0245678i | 0.00506402 | − | 0.00101837i | ||||
\(583\) | 45.7460 | − | 21.3317i | 1.89461 | − | 0.883469i | ||||
\(584\) | −0.438419 | + | 0.759364i | −0.0181419 | + | 0.0314227i | ||||
\(585\) | 6.23500 | − | 13.0109i | 0.257785 | − | 0.537936i | ||||
\(586\) | −0.0802204 | − | 0.138946i | −0.00331387 | − | 0.00573980i | ||||
\(587\) | 7.01492 | + | 4.91190i | 0.289537 | + | 0.202736i | 0.709316 | − | 0.704890i | \(-0.249004\pi\) |
−0.419780 | + | 0.907626i | \(0.637893\pi\) | |||||||
\(588\) | −0.574363 | − | 24.0083i | −0.0236863 | − | 0.990086i | ||||
\(589\) | −10.2091 | − | 28.0493i | −0.420659 | − | 1.15575i | ||||
\(590\) | 0.385451 | − | 0.0111355i | 0.0158688 | − | 0.000458442i | ||||
\(591\) | −9.43335 | − | 4.12712i | −0.388036 | − | 0.169767i | ||||
\(592\) | 12.8893 | + | 1.12767i | 0.529748 | + | 0.0463469i | ||||
\(593\) | −4.26261 | − | 4.26261i | −0.175044 | − | 0.175044i | 0.614147 | − | 0.789192i | \(-0.289500\pi\) |
−0.789192 | + | 0.614147i | \(0.789500\pi\) | |||||||
\(594\) | 0.218910 | + | 0.269260i | 0.00898199 | + | 0.0110479i | ||||
\(595\) | −0.558997 | + | 0.849530i | −0.0229166 | + | 0.0348273i | ||||
\(596\) | −24.7884 | − | 29.5417i | −1.01537 | − | 1.21007i | ||||
\(597\) | −7.57011 | − | 6.04953i | −0.309824 | − | 0.247591i | ||||
\(598\) | 0.109131 | + | 0.155855i | 0.00446269 | + | 0.00637338i | ||||
\(599\) | −13.5981 | + | 4.94929i | −0.555602 | + | 0.202223i | −0.604534 | − | 0.796580i | \(-0.706641\pi\) |
0.0489318 | + | 0.998802i | \(0.484418\pi\) | |||||||
\(600\) | 0.406995 | − | 0.337654i | 0.0166155 | − | 0.0137847i | ||||
\(601\) | −2.11215 | − | 11.9786i | −0.0861565 | − | 0.488618i | −0.997101 | − | 0.0760891i | \(-0.975757\pi\) |
0.910944 | − | 0.412529i | \(-0.135354\pi\) | |||||||
\(602\) | 0.0346604 | + | 0.00928722i | 0.00141265 | + | 0.000378519i | ||||
\(603\) | −1.16977 | + | 5.38353i | −0.0476369 | + | 0.219234i | ||||
\(604\) | −26.0133 | − | 15.0188i | −1.05847 | − | 0.611107i | ||||
\(605\) | −14.5950 | + | 10.8609i | −0.593371 | + | 0.441557i | ||||
\(606\) | −0.00483627 | + | 0.0762430i | −0.000196460 | + | 0.00309716i | ||||
\(607\) | 1.69592 | + | 19.3845i | 0.0688354 | + | 0.786792i | 0.949646 | + | 0.313324i | \(0.101443\pi\) |
−0.880811 | + | 0.473468i | \(0.843002\pi\) | |||||||
\(608\) | 0.0906769 | + | 1.03644i | 0.00367743 | + | 0.0420333i | ||||
\(609\) | −0.132826 | + | 2.09398i | −0.00538238 | + | 0.0848522i | ||||
\(610\) | −0.0601214 | + | 0.409853i | −0.00243424 | + | 0.0165945i | ||||
\(611\) | −7.46602 | − | 4.31051i | −0.302043 | − | 0.174384i | ||||
\(612\) | −2.24478 | + | 10.3309i | −0.0907397 | + | 0.417602i | ||||
\(613\) | −13.0162 | − | 3.48768i | −0.525720 | − | 0.140866i | −0.0138088 | − | 0.999905i | \(-0.504396\pi\) |
−0.511911 | + | 0.859038i | \(0.671062\pi\) | |||||||
\(614\) | 0.0339541 | + | 0.192563i | 0.00137027 | + | 0.00777121i | ||||
\(615\) | 0.685070 | + | 1.28706i | 0.0276247 | + | 0.0518993i | ||||
\(616\) | 0.0647813 | − | 0.0235785i | 0.00261011 | − | 0.000950003i | ||||
\(617\) | 26.0454 | + | 37.1967i | 1.04855 | + | 1.49748i | 0.856535 | + | 0.516090i | \(0.172613\pi\) |
0.192014 | + | 0.981392i | \(0.438498\pi\) | |||||||
\(618\) | 0.208614 | + | 0.166711i | 0.00839169 | + | 0.00670608i | ||||
\(619\) | 0.765342 | + | 0.912099i | 0.0307617 | + | 0.0366604i | 0.781206 | − | 0.624273i | \(-0.214605\pi\) |
−0.750444 | + | 0.660934i | \(0.770160\pi\) | |||||||
\(620\) | 19.6309 | + | 12.9173i | 0.788396 | + | 0.518770i | ||||
\(621\) | 29.7293 | − | 4.76791i | 1.19300 | − | 0.191330i | ||||
\(622\) | −0.226747 | − | 0.226747i | −0.00909171 | − | 0.00909171i | ||||
\(623\) | −0.743449 | − | 0.0650434i | −0.0297857 | − | 0.00260591i | ||||
\(624\) | −13.6468 | − | 5.97052i | −0.546309 | − | 0.239012i | ||||
\(625\) | 14.9123 | + | 20.0654i | 0.596493 | + | 0.802618i | ||||
\(626\) | 0.154339 | + | 0.424042i | 0.00616861 | + | 0.0169481i | ||||
\(627\) | −1.02927 | − | 43.0232i | −0.0411049 | − | 1.71818i | ||||
\(628\) | 3.82734 | + | 2.67993i | 0.152728 | + | 0.106941i | ||||
\(629\) | 2.85104 | + | 4.93815i | 0.113678 | + | 0.196897i | ||||
\(630\) | 0.0249308 | − | 0.00877740i | 0.000993265 | − | 0.000349700i | ||||
\(631\) | 10.8669 | − | 18.8220i | 0.432605 | − | 0.749293i | −0.564492 | − | 0.825438i | \(-0.690928\pi\) |
0.997097 | + | 0.0761454i | \(0.0242613\pi\) | |||||||
\(632\) | −0.171290 | + | 0.0798737i | −0.00681354 | + | 0.00317721i | ||||
\(633\) | −9.64642 | + | 1.93988i | −0.383411 | + | 0.0771034i | ||||
\(634\) | −0.260588 | + | 0.310556i | −0.0103493 | + | 0.0123338i | ||||
\(635\) | 38.2490 | + | 20.6339i | 1.51787 | + | 0.818833i | ||||
\(636\) | −17.7519 | − | 35.8073i | −0.703908 | − | 1.41985i | ||||
\(637\) | 6.30211 | + | 13.5149i | 0.249699 | + | 0.535481i | ||||
\(638\) | 0.302790 | − | 0.0811322i | 0.0119876 | − | 0.00321206i | ||||
\(639\) | 10.4470 | + | 11.3051i | 0.413279 | + | 0.447225i | ||||
\(640\) | −0.725841 | − | 0.815962i | −0.0286914 | − | 0.0322537i | ||||
\(641\) | 11.0540 | − | 1.94912i | 0.436606 | − | 0.0769855i | 0.0489751 | − | 0.998800i | \(-0.484405\pi\) |
0.387631 | + | 0.921815i | \(0.373293\pi\) | |||||||
\(642\) | −0.206860 | − | 0.339284i | −0.00816410 | − | 0.0133905i | ||||
\(643\) | 10.0815 | − | 21.6198i | 0.397575 | − | 0.852602i | −0.601001 | − | 0.799248i | \(-0.705231\pi\) |
0.998576 | − | 0.0533535i | \(-0.0169910\pi\) | |||||||
\(644\) | 0.519308 | − | 2.94514i | 0.0204636 | − | 0.116055i | ||||
\(645\) | 1.86152 | + | 35.2230i | 0.0732973 | + | 1.38690i | ||||
\(646\) | −0.117057 | + | 0.0982222i | −0.00460553 | + | 0.00386450i | ||||
\(647\) | 17.7336 | − | 17.7336i | 0.697179 | − | 0.697179i | −0.266622 | − | 0.963801i | \(-0.585908\pi\) |
0.963801 | + | 0.266622i | \(0.0859076\pi\) | |||||||
\(648\) | 0.418010 | − | 0.356785i | 0.0164210 | − | 0.0140158i | ||||
\(649\) | 49.4134i | 1.93965i | ||||||||
\(650\) | −0.0737426 | + | 0.146682i | −0.00289242 | + | 0.00575334i | ||||
\(651\) | 1.39306 | + | 1.89154i | 0.0545984 | + | 0.0741355i | ||||
\(652\) | 24.8579 | − | 17.4057i | 0.973511 | − | 0.681660i | ||||
\(653\) | −16.5274 | − | 7.70684i | −0.646766 | − | 0.301592i | 0.0714165 | − | 0.997447i | \(-0.477248\pi\) |
−0.718183 | + | 0.695855i | \(0.755026\pi\) | |||||||
\(654\) | 0.308455 | + | 0.0747915i | 0.0120616 | + | 0.00292458i | ||||
\(655\) | −4.04629 | + | 9.37501i | −0.158102 | + | 0.366312i | ||||
\(656\) | 1.30364 | − | 0.752659i | 0.0508987 | − | 0.0293864i | ||||
\(657\) | −36.4290 | − | 22.9931i | −1.42123 | − | 0.897045i | ||||
\(658\) | −0.00408758 | − | 0.0152550i | −0.000159350 | − | 0.000594704i | ||||
\(659\) | −32.1808 | − | 11.7129i | −1.25359 | − | 0.456269i | −0.371975 | − | 0.928243i | \(-0.621319\pi\) |
−0.881612 | + | 0.471974i | \(0.843542\pi\) | |||||||
\(660\) | 20.8707 | + | 26.6891i | 0.812392 | + | 1.03887i | ||||
\(661\) | 3.43935 | + | 2.88596i | 0.133775 | + | 0.112251i | 0.707220 | − | 0.706993i | \(-0.249949\pi\) |
−0.573445 | + | 0.819244i | \(0.694393\pi\) | |||||||
\(662\) | −0.151210 | + | 0.0132291i | −0.00587693 | + | 0.000514165i | ||||
\(663\) | −1.29422 | − | 6.43575i | −0.0502634 | − | 0.249944i | ||||
\(664\) | 0.103736 | − | 0.285012i | 0.00402573 | − | 0.0110606i | ||||
\(665\) | −3.11122 | − | 1.03166i | −0.120648 | − | 0.0400061i | ||||
\(666\) | 0.0187259 | − | 0.147011i | 0.000725613 | − | 0.00569656i | ||||
\(667\) | 7.03946 | − | 26.2716i | 0.272569 | − | 1.01724i | ||||
\(668\) | 22.2558 | − | 31.7846i | 0.861103 | − | 1.22978i | ||||
\(669\) | −16.5306 | − | 15.7581i | −0.639110 | − | 0.609245i | ||||
\(670\) | 0.0144698 | − | 0.0609967i | 0.000559019 | − | 0.00235651i | ||||
\(671\) | −52.2754 | − | 9.21756i | −2.01807 | − | 0.355840i | ||||
\(672\) | −0.0298368 | − | 0.0762502i | −0.00115098 | − | 0.00294142i | ||||
\(673\) | 1.31952 | − | 15.0821i | 0.0508636 | − | 0.581374i | −0.927409 | − | 0.374050i | \(-0.877969\pi\) |
0.978272 | − | 0.207324i | \(-0.0664755\pi\) | |||||||
\(674\) | −0.214165 | −0.00824933 | ||||||||
\(675\) | 15.7876 | + | 20.6337i | 0.607666 | + | 0.794193i | ||||
\(676\) | −16.7465 | −0.644096 | ||||||||
\(677\) | 0.848465 | − | 9.69800i | 0.0326092 | − | 0.372724i | −0.962303 | − | 0.271979i | \(-0.912322\pi\) |
0.994912 | − | 0.100745i | \(-0.0321227\pi\) | |||||||
\(678\) | −0.153337 | + | 0.191879i | −0.00588888 | + | 0.00736908i | ||||
\(679\) | 1.19775 | + | 0.211196i | 0.0459656 | + | 0.00810497i | ||||
\(680\) | 0.0555380 | − | 0.234117i | 0.00212978 | − | 0.00897797i | ||||
\(681\) | −24.2186 | + | 7.11435i | −0.928058 | + | 0.272622i | ||||
\(682\) | 0.201306 | − | 0.287495i | 0.00770842 | − | 0.0110088i | ||||
\(683\) | −6.02595 | + | 22.4891i | −0.230577 | + | 0.860523i | 0.749517 | + | 0.661985i | \(0.230286\pi\) |
−0.980093 | + | 0.198538i | \(0.936381\pi\) | |||||||
\(684\) | −34.0365 | + | 1.62948i | −1.30142 | + | 0.0623045i | ||||
\(685\) | −14.8487 | − | 4.92374i | −0.567340 | − | 0.188126i | ||||
\(686\) | −0.0187764 | + | 0.0515877i | −0.000716886 | + | 0.00196963i | ||||
\(687\) | 10.8247 | − | 9.53332i | 0.412987 | − | 0.363719i | ||||
\(688\) | 36.2776 | − | 3.17388i | 1.38307 | − | 0.121003i | ||||
\(689\) | 19.0107 | + | 15.9519i | 0.724249 | + | 0.607717i | ||||
\(690\) | −0.339262 | + | 0.0478326i | −0.0129155 | + | 0.00182096i | ||||
\(691\) | −4.24724 | − | 1.54587i | −0.161573 | − | 0.0588077i | 0.259968 | − | 0.965617i | \(-0.416288\pi\) |
−0.421540 | + | 0.906810i | \(0.638510\pi\) | |||||||
\(692\) | 3.00916 | + | 11.2303i | 0.114391 | + | 0.426913i | ||||
\(693\) | 1.03204 | + | 3.22585i | 0.0392039 | + | 0.122540i | ||||
\(694\) | 0.0807256 | − | 0.0466069i | 0.00306430 | − | 0.00176918i | ||||
\(695\) | 7.23256 | − | 16.7574i | 0.274347 | − | 0.635645i | ||||
\(696\) | −0.139920 | − | 0.476314i | −0.00530365 | − | 0.0180546i | ||||
\(697\) | 0.601245 | + | 0.280365i | 0.0227738 | + | 0.0106196i | ||||
\(698\) | −0.0478038 | + | 0.0334725i | −0.00180940 | + | 0.00126695i | ||||
\(699\) | 47.5982 | − | 5.31414i | 1.80033 | − | 0.200999i | ||||
\(700\) | 2.44987 | − | 0.810673i | 0.0925965 | − | 0.0306405i | ||||
\(701\) | − | 28.3612i | − | 1.07119i | −0.844476 | − | 0.535593i | \(-0.820088\pi\) | ||
0.844476 | − | 0.535593i | \(-0.179912\pi\) | |||||||
\(702\) | −0.0744950 | + | 0.153494i | −0.00281163 | + | 0.00579325i | ||||
\(703\) | −12.9958 | + | 12.9958i | −0.490147 | + | 0.490147i | ||||
\(704\) | 26.7896 | − | 22.4791i | 1.00967 | − | 0.847214i | ||||
\(705\) | 13.0160 | − | 8.46087i | 0.490213 | − | 0.318655i | ||||
\(706\) | −0.00590457 | + | 0.0334865i | −0.000222221 | + | 0.00126028i | ||||
\(707\) | −0.315116 | + | 0.675769i | −0.0118512 | + | 0.0254149i | ||||
\(708\) | 39.1142 | − | 0.935750i | 1.47000 | − | 0.0351676i | ||||
\(709\) | 27.9978 | − | 4.93677i | 1.05148 | − | 0.185404i | 0.378907 | − | 0.925435i | \(-0.376300\pi\) |
0.672574 | + | 0.740030i | \(0.265189\pi\) | |||||||
\(710\) | −0.116419 | − | 0.130873i | −0.00436911 | − | 0.00491158i | ||||
\(711\) | −3.58937 | − | 8.56349i | −0.134612 | − | 0.321156i | ||||
\(712\) | 0.170559 | − | 0.0457011i | 0.00639196 | − | 0.00171272i | ||||
\(713\) | −12.8695 | − | 27.5987i | −0.481966 | − | 1.03358i | ||||
\(714\) | 0.00666022 | − | 0.0100132i | 0.000249253 | − | 0.000374736i | ||||
\(715\) | −18.5155 | − | 9.98844i | −0.692442 | − | 0.373546i | ||||
\(716\) | 12.2880 | − | 14.6443i | 0.459224 | − | 0.547282i | ||||
\(717\) | −11.9958 | + | 35.5840i | −0.447991 | + | 1.32891i | ||||
\(718\) | 0.163281 | − | 0.0761394i | 0.00609361 | − | 0.00284150i | ||||
\(719\) | 8.97949 | − | 15.5529i | 0.334878 | − | 0.580026i | −0.648583 | − | 0.761144i | \(-0.724638\pi\) |
0.983461 | + | 0.181118i | \(0.0579714\pi\) | |||||||
\(720\) | 20.7286 | − | 17.0241i | 0.772511 | − | 0.634451i | ||||
\(721\) | 1.30318 | + | 2.25717i | 0.0485328 | + | 0.0840612i | ||||
\(722\) | −0.165843 | − | 0.116124i | −0.00617202 | − | 0.00432170i | ||||
\(723\) | −7.72062 | + | 4.70723i | −0.287133 | + | 0.175064i | ||||
\(724\) | 9.49171 | + | 26.0783i | 0.352757 | + | 0.969191i | ||||
\(725\) | 22.8387 | − | 5.40287i | 0.848207 | − | 0.200658i | ||||
\(726\) | 0.173229 | − | 0.127578i | 0.00642914 | − | 0.00473486i | ||||
\(727\) | 28.2887 | + | 2.47494i | 1.04917 | + | 0.0917905i | 0.598678 | − | 0.800990i | \(-0.295693\pi\) |
0.450492 | + | 0.892780i | \(0.351249\pi\) | |||||||
\(728\) | 0.0239671 | + | 0.0239671i | 0.000888279 | + | 0.000888279i | ||||
\(729\) | 16.7054 | + | 21.2115i | 0.618720 | + | 0.785612i | ||||
\(730\) | 0.409497 | + | 0.269452i | 0.0151562 | + | 0.00997286i | ||||
\(731\) | 10.3159 | + | 12.2941i | 0.381549 | + | 0.454712i | ||||
\(732\) | −6.30641 | + | 41.5542i | −0.233092 | + | 1.53589i | ||||
\(733\) | 5.80448 | + | 8.28966i | 0.214393 | + | 0.306185i | 0.911916 | − | 0.410378i | \(-0.134603\pi\) |
−0.697522 | + | 0.716563i | \(0.745714\pi\) | |||||||
\(734\) | −0.0304169 | + | 0.0110708i | −0.00112271 | + | 0.000408632i | ||||
\(735\) | −26.8370 | − | 0.925328i | −0.989897 | − | 0.0341313i | ||||
\(736\) | 0.184310 | + | 1.04527i | 0.00679374 | + | 0.0385292i | ||||
\(737\) | 7.75949 | + | 2.07915i | 0.285825 | + | 0.0765865i | ||||
\(738\) | −0.00802570 | − | 0.0152602i | −0.000295430 | − | 0.000561736i | ||||
\(739\) | −35.8294 | − | 20.6861i | −1.31801 | − | 0.760951i | −0.334598 | − | 0.942361i | \(-0.608601\pi\) |
−0.983408 | + | 0.181410i | \(0.941934\pi\) | |||||||
\(740\) | 2.10000 | − | 14.3159i | 0.0771977 | − | 0.526264i | ||||
\(741\) | 18.9571 | − | 9.39823i | 0.696408 | − | 0.345252i | ||||
\(742\) | 0.00396233 | + | 0.0452897i | 0.000145462 | + | 0.00166264i | ||||
\(743\) | 0.674496 | + | 7.70953i | 0.0247449 | + | 0.282835i | 0.998478 | + | 0.0551445i | \(0.0175620\pi\) |
−0.973734 | + | 0.227691i | \(0.926882\pi\) | |||||||
\(744\) | −0.462798 | − | 0.307826i | −0.0169670 | − | 0.0112855i | ||||
\(745\) | −34.5935 | + | 25.7428i | −1.26741 | + | 0.943142i | ||||
\(746\) | −0.0438849 | − | 0.0253370i | −0.00160674 | − | 0.000927653i | ||||
\(747\) | 13.7906 | + | 5.64445i | 0.504573 | + | 0.206520i | ||||
\(748\) | 14.8903 | + | 3.98985i | 0.544444 | + | 0.145883i | ||||
\(749\) | −0.673470 | − | 3.81944i | −0.0246080 | − | 0.139559i | ||||
\(750\) | −0.175167 | − | 0.238157i | −0.00639619 | − | 0.00869628i | ||||
\(751\) | −38.8916 | + | 14.1554i | −1.41918 | + | 0.516537i | −0.933808 | − | 0.357773i | \(-0.883536\pi\) |
−0.485367 | + | 0.874311i | \(0.661314\pi\) | |||||||
\(752\) | −9.19318 | − | 13.1292i | −0.335241 | − | 0.478773i | ||||
\(753\) | −22.4948 | + | 8.80223i | −0.819755 | + | 0.320771i | ||||
\(754\) | 0.0990675 | + | 0.118064i | 0.00360782 | + | 0.00429964i | ||||
\(755\) | −18.4622 | + | 28.0577i | −0.671907 | + | 1.02112i | ||||
\(756\) | 2.53394 | − | 0.878020i | 0.0921587 | − | 0.0319333i | ||||
\(757\) | −10.7021 | − | 10.7021i | −0.388975 | − | 0.388975i | 0.485347 | − | 0.874322i | \(-0.338693\pi\) |
−0.874322 | + | 0.485347i | \(0.838693\pi\) | |||||||
\(758\) | −0.239740 | − | 0.0209745i | −0.00870775 | − | 0.000761830i | ||||
\(759\) | −4.87143 | − | 43.6329i | −0.176822 | − | 1.58377i | ||||
\(760\) | 0.775221 | − | 0.0223958i | 0.0281202 | − | 0.000812382i | ||||
\(761\) | 16.8761 | + | 46.3666i | 0.611756 | + | 1.68079i | 0.726308 | + | 0.687370i | \(0.241235\pi\) |
−0.114551 | + | 0.993417i | \(0.536543\pi\) | |||||||
\(762\) | −0.451100 | − | 0.246249i | −0.0163416 | − | 0.00892067i | ||||
\(763\) | 2.53754 | + | 1.77680i | 0.0918651 | + | 0.0643246i | ||||
\(764\) | −11.8764 | − | 20.5705i | −0.429673 | − | 0.744215i | ||||
\(765\) | 11.3855 | + | 3.17981i | 0.411644 | + | 0.114966i | ||||
\(766\) | 0.210244 | − | 0.364154i | 0.00759643 | − | 0.0131574i | ||||
\(767\) | −22.0185 | + | 10.2674i | −0.795040 | + | 0.370733i | ||||
\(768\) | −18.2947 | − | 20.7729i | −0.660155 | − | 0.749578i | ||||
\(769\) | 4.55804 | − | 5.43206i | 0.164367 | − | 0.195885i | −0.677574 | − | 0.735455i | \(-0.736969\pi\) |
0.841941 | + | 0.539570i | \(0.181413\pi\) | |||||||
\(770\) | −0.0110458 | − | 0.0369234i | −0.000398063 | − | 0.00133063i | ||||
\(771\) | 16.2017 | + | 1.02771i | 0.583489 | + | 0.0370121i | ||||
\(772\) | −10.2320 | − | 21.9426i | −0.368259 | − | 0.789733i | ||||
\(773\) | 8.62644 | − | 2.31145i | 0.310272 | − | 0.0831370i | −0.100323 | − | 0.994955i | \(-0.531988\pi\) |
0.410595 | + | 0.911818i | \(0.365321\pi\) | |||||||
\(774\) | −0.0199462 | − | 0.416635i | −0.000716950 | − | 0.0149756i | ||||
\(775\) | 15.6999 | − | 21.0704i | 0.563956 | − | 0.756869i | ||||
\(776\) | −0.283394 | + | 0.0499700i | −0.0101733 | + | 0.00179382i | ||||
\(777\) | 0.693047 | − | 1.26958i | 0.0248629 | − | 0.0455459i | ||||
\(778\) | 0.193686 | − | 0.415360i | 0.00694397 | − | 0.0148914i | ||||
\(779\) | −0.371305 | + | 2.10578i | −0.0133034 | + | 0.0754473i | ||||
\(780\) | −7.55593 | + | 14.8455i | −0.270546 | + | 0.531555i | ||||
\(781\) | 17.1943 | − | 14.4277i | 0.615260 | − | 0.516264i | ||||
\(782\) | −0.110231 | + | 0.110231i | −0.00394186 | + | 0.00394186i | ||||
\(783\) | 23.6538 | − | 5.94640i | 0.845316 | − | 0.212507i | ||||
\(784\) | 27.7239i | 0.990139i | ||||||||
\(785\) | 3.24122 | − | 4.09745i | 0.115684 | − | 0.146244i | ||||
\(786\) | 0.0483992 | − | 0.110626i | 0.00172634 | − | 0.00394589i | ||||
\(787\) | −0.568328 | + | 0.397947i | −0.0202587 | + | 0.0141853i | −0.583662 | − | 0.811997i | \(-0.698381\pi\) |
0.563403 | + | 0.826182i | \(0.309492\pi\) | |||||||
\(788\) | 10.7743 | + | 5.02416i | 0.383820 | + | 0.178978i | ||||
\(789\) | −11.9944 | + | 12.5823i | −0.427010 | + | 0.447942i | ||||
\(790\) | 0.0389895 | + | 0.0982019i | 0.00138719 | + | 0.00349387i | ||||
\(791\) | −2.07610 | + | 1.19864i | −0.0738175 | + | 0.0426186i | ||||
\(792\) | −0.490506 | − | 0.633705i | −0.0174294 | − | 0.0225177i | ||||
\(793\) | −6.75473 | − | 25.2090i | −0.239868 | − | 0.895198i | ||||
\(794\) | 0.0686278 | + | 0.0249785i | 0.00243551 | + | 0.000886453i | ||||
\(795\) | −41.1284 | + | 17.4794i | −1.45868 | + | 0.619930i | ||||
\(796\) | 8.57065 | + | 7.19163i | 0.303778 | + | 0.254900i | ||||
\(797\) | −37.0354 | + | 3.24018i | −1.31186 | + | 0.114773i | −0.721528 | − | 0.692385i | \(-0.756560\pi\) |
−0.590335 | + | 0.807158i | \(0.701004\pi\) | |||||||
\(798\) | 0.0367309 | + | 0.0123824i | 0.00130026 | + | 0.000438332i | ||||
\(799\) | 2.41587 | − | 6.63755i | 0.0854673 | − | 0.234820i | ||||
\(800\) | −0.718651 | + | 0.567752i | −0.0254082 | + | 0.0200731i | ||||
\(801\) | 1.91321 | + | 8.46143i | 0.0676001 | + | 0.298970i | ||||
\(802\) | −0.0339926 | + | 0.126862i | −0.00120032 | + | 0.00447965i | ||||
\(803\) | −36.0293 | + | 51.4551i | −1.27145 | + | 1.81581i | ||||
\(804\) | 1.49885 | − | 6.18157i | 0.0528605 | − | 0.218007i | ||||
\(805\) | −3.25366 | − | 0.771843i | −0.114676 | − | 0.0272039i | ||||
\(806\) | 0.169936 | + | 0.0299642i | 0.00598573 | + | 0.00105544i | ||||
\(807\) | −3.16599 | − | 0.480482i | −0.111448 | − | 0.0169138i | ||||
\(808\) | 0.0153759 | − | 0.175748i | 0.000540924 | − | 0.00618279i | ||||
\(809\) | −9.19706 | −0.323351 | −0.161676 | − | 0.986844i | \(-0.551690\pi\) | ||||
−0.161676 | + | 0.986844i | \(0.551690\pi\) | |||||||
\(810\) | −0.185484 | − | 0.244929i | −0.00651726 | − | 0.00860592i | ||||
\(811\) | −3.49413 | −0.122695 | −0.0613477 | − | 0.998116i | \(-0.519540\pi\) | ||||
−0.0613477 | + | 0.998116i | \(0.519540\pi\) | |||||||
\(812\) | 0.211134 | − | 2.41327i | 0.00740935 | − | 0.0846893i | ||||
\(813\) | −23.9858 | − | 3.64016i | −0.841219 | − | 0.127666i | ||||
\(814\) | −0.212814 | − | 0.0375249i | −0.00745914 | − | 0.00131525i | ||||
\(815\) | −17.8074 | − | 28.8835i | −0.623765 | − | 1.01175i | ||||
\(816\) | 2.87594 | − | 11.8609i | 0.100678 | − | 0.415216i | ||||
\(817\) | −29.6700 | + | 42.3732i | −1.03802 | + | 1.48245i | ||||
\(818\) | 0.0334253 | − | 0.124745i | 0.00116869 | − | 0.00436160i | ||||
\(819\) | −1.22299 | + | 1.13016i | −0.0427346 | + | 0.0394908i | ||||
\(820\) | −0.755192 | − | 1.50449i | −0.0263724 | − | 0.0525390i | ||||
\(821\) | −5.34053 | + | 14.6730i | −0.186386 | + | 0.512091i | −0.997329 | − | 0.0730336i | \(-0.976732\pi\) |
0.810944 | + | 0.585124i | \(0.198954\pi\) | |||||||
\(822\) | 0.175303 | + | 0.0590967i | 0.00611440 | + | 0.00206123i | ||||
\(823\) | −29.7914 | + | 2.60641i | −1.03846 | + | 0.0908536i | −0.593612 | − | 0.804752i | \(-0.702298\pi\) |
−0.444850 | + | 0.895605i | \(0.646743\pi\) | |||||||
\(824\) | −0.472400 | − | 0.396391i | −0.0164568 | − | 0.0138089i | ||||
\(825\) | 31.1536 | − | 21.5558i | 1.08463 | − | 0.750475i | ||||
\(826\) | −0.0418223 | − | 0.0152221i | −0.00145519 | − | 0.000529644i | ||||
\(827\) | 9.64511 | + | 35.9960i | 0.335393 | + | 1.25171i | 0.903442 | + | 0.428710i | \(0.141032\pi\) |
−0.568049 | + | 0.822995i | \(0.692301\pi\) | |||||||
\(828\) | −34.4463 | + | 4.68237i | −1.19709 | + | 0.162724i | ||||
\(829\) | −6.82502 | + | 3.94043i | −0.237043 | + | 0.136857i | −0.613817 | − | 0.789448i | \(-0.710367\pi\) |
0.376774 | + | 0.926305i | \(0.377033\pi\) | |||||||
\(830\) | −0.155680 | − | 0.0671921i | −0.00540373 | − | 0.00233227i | ||||
\(831\) | −21.7347 | + | 22.8001i | −0.753968 | + | 0.790927i | ||||
\(832\) | 15.5831 | + | 7.26652i | 0.540247 | + | 0.251921i | ||||
\(833\) | −10.0084 | + | 7.00798i | −0.346771 | + | 0.242812i | ||||
\(834\) | −0.0865115 | + | 0.197739i | −0.00299565 | + | 0.00684714i | ||||
\(835\) | −34.0277 | − | 26.9171i | −1.17758 | − | 0.931504i | ||||
\(836\) | 49.6874i | 1.71847i | ||||||||
\(837\) | 16.0078 | − | 22.1231i | 0.553310 | − | 0.764687i | ||||
\(838\) | 0.0948142 | − | 0.0948142i | 0.00327530 | − | 0.00327530i | ||||
\(839\) | −26.9906 | + | 22.6478i | −0.931819 | + | 0.781889i | −0.976143 | − | 0.217128i | \(-0.930331\pi\) |
0.0443239 | + | 0.999017i | \(0.485887\pi\) | |||||||
\(840\) | −0.0580401 | + | 0.0188866i | −0.00200257 | + | 0.000651651i | ||||
\(841\) | −1.21001 | + | 6.86229i | −0.0417244 | + | 0.236631i | ||||
\(842\) | 0.00370012 | − | 0.00793494i | 0.000127515 | − | 0.000273456i | ||||
\(843\) | 21.7919 | − | 39.9202i | 0.750554 | − | 1.37493i | ||||
\(844\) | 11.1878 | − | 1.97271i | 0.385100 | − | 0.0679035i | ||||
\(845\) | −1.09266 | + | 18.6934i | −0.0375885 | + | 0.643074i | ||||
\(846\) | −0.154417 | + | 0.0992895i | −0.00530895 | + | 0.00341364i | ||||
\(847\) | 2.02821 | − | 0.543456i | 0.0696900 | − | 0.0186734i | ||||
\(848\) | 19.4988 | + | 41.8153i | 0.669592 | + | 1.43594i | ||||
\(849\) | 31.7084 | + | 2.01134i | 1.08823 | + | 0.0690290i | ||||
\(850\) | −0.128848 | − | 0.0386328i | −0.00441946 | − | 0.00132509i | ||||
\(851\) | −12.0521 | + | 14.3631i | −0.413141 | + | 0.492362i | ||||
\(852\) | −11.7462 | − | 13.3373i | −0.402417 | − | 0.456928i | ||||
\(853\) | −22.1725 | + | 10.3392i | −0.759171 | + | 0.354007i | −0.763351 | − | 0.645984i | \(-0.776447\pi\) |
0.00417979 | + | 0.999991i | \(0.498670\pi\) | |||||||
\(854\) | 0.0239053 | − | 0.0414051i | 0.000818021 | − | 0.00141685i | ||||
\(855\) | −0.401854 | + | 38.0998i | −0.0137431 | + | 1.30299i | ||||
\(856\) | 0.458819 | + | 0.794697i | 0.0156821 | + | 0.0271622i | ||||
\(857\) | 3.70630 | + | 2.59518i | 0.126605 | + | 0.0886496i | 0.635164 | − | 0.772378i | \(-0.280933\pi\) |
−0.508559 | + | 0.861027i | \(0.669822\pi\) | |||||||
\(858\) | 0.218368 | + | 0.119204i | 0.00745495 | + | 0.00406956i | ||||
\(859\) | −3.10612 | − | 8.53399i | −0.105979 | − | 0.291176i | 0.875356 | − | 0.483478i | \(-0.160627\pi\) |
−0.981336 | + | 0.192302i | \(0.938405\pi\) | |||||||
\(860\) | −1.17601 | − | 40.7070i | −0.0401016 | − | 1.38810i | ||||
\(861\) | −0.0186720 | − | 0.167243i | −0.000636340 | − | 0.00569963i | ||||
\(862\) | 0.380394 | + | 0.0332801i | 0.0129563 | + | 0.00113353i | ||||
\(863\) | 21.0851 | + | 21.0851i | 0.717746 | + | 0.717746i | 0.968143 | − | 0.250398i | \(-0.0805613\pi\) |
−0.250398 | + | 0.968143i | \(0.580561\pi\) | |||||||
\(864\) | −0.738515 | + | 0.600418i | −0.0251248 | + | 0.0204266i | ||||
\(865\) | 12.7323 | − | 2.62626i | 0.432911 | − | 0.0892954i | ||||
\(866\) | 0.346801 | + | 0.413302i | 0.0117848 | + | 0.0140446i | ||||
\(867\) | −22.4115 | + | 8.76965i | −0.761136 | + | 0.297833i | ||||
\(868\) | −1.55569 | − | 2.22175i | −0.0528035 | − | 0.0754113i | ||||
\(869\) | −12.7229 | + | 4.63076i | −0.431595 | + | 0.157088i | ||||
\(870\) | −0.270394 | + | 0.0625508i | −0.00916721 | + | 0.00212067i | ||||
\(871\) | 0.685845 | + | 3.88962i | 0.0232390 | + | 0.131795i | ||||
\(872\) | −0.707971 | − | 0.189700i | −0.0239749 | − | 0.00642406i | ||||
\(873\) | −1.90426 | − | 14.0089i | −0.0644496 | − | 0.474130i | ||||
\(874\) | −0.435146 | − | 0.251232i | −0.0147190 | − | 0.00849804i | ||||
\(875\) | −0.745074 | − | 2.78759i | −0.0251881 | − | 0.0942376i | ||||
\(876\) | 41.4127 | + | 27.5453i | 1.39921 | + | 0.930671i | ||||
\(877\) | −3.98890 | − | 45.5933i | −0.134696 | − | 1.53958i | −0.699668 | − | 0.714468i | \(-0.746669\pi\) |
0.564973 | − | 0.825110i | \(-0.308887\pi\) | |||||||
\(878\) | 0.00628162 | + | 0.0717992i | 0.000211994 | + | 0.00242311i | ||||
\(879\) | −16.3083 | + | 8.08503i | −0.550065 | + | 0.272701i | ||||
\(880\) | −23.3500 | − | 31.3781i | −0.787129 | − | 1.05776i | ||||
\(881\) | −33.3855 | − | 19.2752i | −1.12479 | − | 0.649396i | −0.182169 | − | 0.983267i | \(-0.558312\pi\) |
−0.942619 | + | 0.333871i | \(0.891645\pi\) | |||||||
\(882\) | 0.317304 | + | 0.0125173i | 0.0106842 | + | 0.000421480i | ||||
\(883\) | 18.1259 | + | 4.85682i | 0.609986 | + | 0.163445i | 0.550571 | − | 0.834788i | \(-0.314410\pi\) |
0.0594144 | + | 0.998233i | \(0.481077\pi\) | |||||||
\(884\) | 1.31612 | + | 7.46412i | 0.0442661 | + | 0.251045i | ||||
\(885\) | 1.50754 | − | 43.7227i | 0.0506754 | − | 1.46972i | ||||
\(886\) | −0.424182 | + | 0.154390i | −0.0142507 | + | 0.00518682i | ||||
\(887\) | 21.0306 | + | 30.0349i | 0.706140 | + | 1.00847i | 0.998636 | + | 0.0522057i | \(0.0166252\pi\) |
−0.292496 | + | 0.956267i | \(0.594486\pi\) | |||||||
\(888\) | −0.0513501 | + | 0.338357i | −0.00172320 | + | 0.0113545i | ||||
\(889\) | −3.22424 | − | 3.84250i | −0.108137 | − | 0.128873i | ||||
\(890\) | −0.0199418 | − | 0.0966792i | −0.000668449 | − | 0.00324069i | ||||
\(891\) | 32.0592 | − | 22.8522i | 1.07402 | − | 0.765579i | ||||
\(892\) | 18.6451 | + | 18.6451i | 0.624283 | + | 0.624283i | ||||
\(893\) | 22.6804 | + | 1.98428i | 0.758972 | + | 0.0664014i | ||||
\(894\) | 0.410593 | − | 0.302389i | 0.0137323 | − | 0.0101134i | ||||
\(895\) | −15.5450 | − | 14.6721i | −0.519613 | − | 0.490433i | ||||
\(896\) | 0.0431100 | + | 0.118444i | 0.00144021 | + | 0.00395693i | ||||
\(897\) | 18.4305 | − | 11.2370i | 0.615375 | − | 0.375191i | ||||
\(898\) | −0.0842201 | − | 0.0589716i | −0.00281046 | − | 0.00196791i | ||||
\(899\) | −12.3336 | − | 21.3624i | −0.411349 | − | 0.712477i | ||||
\(900\) | −17.6529 | − | 24.2521i | −0.588429 | − | 0.808404i | ||||
\(901\) | −10.1666 | + | 17.6091i | −0.338700 | + | 0.586645i | ||||
\(902\) | −0.0227860 | + | 0.0106253i | −0.000758690 | + | 0.000353783i | ||||
\(903\) | 1.30048 | − | 3.85772i | 0.0432773 | − | 0.128377i | ||||
\(904\) | 0.364593 | − | 0.434505i | 0.0121262 | − | 0.0144514i | ||||
\(905\) | 29.7294 | − | 8.89369i | 0.988239 | − | 0.295636i | ||||
\(906\) | 0.219969 | − | 0.330710i | 0.00730799 | − | 0.0109871i | ||||
\(907\) | −8.15736 | − | 17.4935i | −0.270861 | − | 0.580863i | 0.723082 | − | 0.690762i | \(-0.242725\pi\) |
−0.993943 | + | 0.109900i | \(0.964947\pi\) | |||||||
\(908\) | 28.1504 | − | 7.54288i | 0.934204 | − | 0.250319i | ||||
\(909\) | 8.59788 | + | 1.09518i | 0.285174 | + | 0.0363247i | ||||
\(910\) | 0.0141578 | − | 0.0125941i | 0.000469326 | − | 0.000417491i | ||||
\(911\) | 39.2363 | − | 6.91842i | 1.29996 | − | 0.229217i | 0.519523 | − | 0.854456i | \(-0.326110\pi\) |
0.780433 | + | 0.625239i | \(0.214999\pi\) | |||||||
\(912\) | 39.3265 | − | 0.940828i | 1.30223 | − | 0.0311539i | ||||
\(913\) | 9.18269 | − | 19.6923i | 0.303903 | − | 0.651721i | ||||
\(914\) | −0.0961236 | + | 0.545144i | −0.00317949 | + | 0.0180318i | ||||
\(915\) | 45.9738 | + | 9.75087i | 1.51985 | + | 0.322354i | ||||
\(916\) | −12.7575 | + | 10.7048i | −0.421519 | + | 0.353696i | ||||
\(917\) | 0.833342 | − | 0.833342i | 0.0275194 | − | 0.0275194i | ||||
\(918\) | −0.134452 | − | 0.0382707i | −0.00443757 | − | 0.00126312i | ||||
\(919\) | 43.5953i | 1.43808i | 0.694971 | + | 0.719038i | \(0.255417\pi\) | ||||
−0.694971 | + | 0.719038i | \(0.744583\pi\) | |||||||
\(920\) | 0.785864 | − | 0.0916892i | 0.0259092 | − | 0.00302290i | ||||
\(921\) | 22.0468 | − | 2.46144i | 0.726468 | − | 0.0811071i | ||||
\(922\) | 0.330404 | − | 0.231352i | 0.0108813 | − | 0.00761916i | ||||
\(923\) | 10.0017 | + | 4.66385i | 0.329209 | + | 0.153513i | ||||
\(924\) | −1.10214 | − | 3.75189i | −0.0362577 | − | 0.123428i | ||||
\(925\) | −15.8433 | − | 3.27822i | −0.520923 | − | 0.107787i | ||||
\(926\) | 0.159010 | − | 0.0918044i | 0.00522539 | − | 0.00301688i | ||||
\(927\) | 20.3741 | − | 22.4230i | 0.669174 | − | 0.736468i | ||||
\(928\) | 0.222526 | + | 0.830480i | 0.00730479 | + | 0.0272618i | ||||
\(929\) | 32.4046 | + | 11.7943i | 1.06316 | + | 0.386959i | 0.813615 | − | 0.581404i | \(-0.197496\pi\) |
0.249546 | + | 0.968363i | \(0.419719\pi\) | |||||||
\(930\) | −0.186894 | + | 0.248244i | −0.00612850 | + | 0.00814025i | ||||
\(931\) | −30.1676 | − | 25.3136i | −0.988703 | − | 0.829620i | ||||
\(932\) | −55.0863 | + | 4.81942i | −1.80441 | + | 0.157865i | ||||
\(933\) | −27.3019 | + | 24.0449i | −0.893825 | + | 0.787194i | ||||
\(934\) | −0.0577199 | + | 0.158584i | −0.00188865 | + | 0.00518903i | ||||
\(935\) | 5.42525 | − | 16.3611i | 0.177425 | − | 0.535066i | ||||
\(936\) | 0.180457 | − | 0.350242i | 0.00589842 | − | 0.0114480i | ||||
\(937\) | 11.9945 | − | 44.7642i | 0.391845 | − | 1.46238i | −0.435244 | − | 0.900313i | \(-0.643338\pi\) |
0.827089 | − | 0.562072i | \(-0.189995\pi\) | |||||||
\(938\) | −0.00415010 | + | 0.00592696i | −0.000135506 | + | 0.000193522i | ||||
\(939\) | 49.1206 | − | 14.4295i | 1.60299 | − | 0.470888i | ||||
\(940\) | −15.2572 | + | 9.40643i | −0.497635 | + | 0.306804i | ||||
\(941\) | 8.77614 | + | 1.54747i | 0.286094 | + | 0.0504461i | 0.314854 | − | 0.949140i | \(-0.398045\pi\) |
−0.0287596 | + | 0.999586i | \(0.509156\pi\) | |||||||
\(942\) | −0.0385693 | + | 0.0482638i | −0.00125665 | + | 0.00157252i | ||||
\(943\) | −0.190123 | + | 2.17311i | −0.00619124 | + | 0.0707662i | ||||
\(944\) | −45.1676 | −1.47008 | ||||||||
\(945\) | −0.814766 | − | 2.88583i | −0.0265043 | − | 0.0938760i | ||||
\(946\) | −0.608216 | −0.0197748 | ||||||||
\(947\) | −3.21081 | + | 36.6998i | −0.104337 | + | 1.19258i | 0.745854 | + | 0.666109i | \(0.232041\pi\) |
−0.850192 | + | 0.526473i | \(0.823514\pi\) | |||||||
\(948\) | 3.90651 | + | 9.98340i | 0.126878 | + | 0.324246i | ||||
\(949\) | −30.4146 | − | 5.36292i | −0.987300 | − | 0.174088i | ||||
\(950\) | 0.0127898 | − | 0.433379i | 0.000414957 | − | 0.0140607i | ||||
\(951\) | 33.2912 | + | 31.7355i | 1.07954 | + | 1.02910i | ||||
\(952\) | −0.0159289 | + | 0.0227488i | −0.000516257 | + | 0.000737292i | ||||
\(953\) | −7.47785 | + | 27.9077i | −0.242231 | + | 0.904020i | 0.732523 | + | 0.680742i | \(0.238342\pi\) |
−0.974755 | + | 0.223278i | \(0.928324\pi\) | |||||||
\(954\) | 0.487387 | − | 0.204287i | 0.0157797 | − | 0.00661404i | ||||
\(955\) | −23.7369 | + | 11.9150i | −0.768109 | + | 0.385559i | ||||
\(956\) | 14.8286 | − | 40.7411i | 0.479590 | − | 1.31766i | ||||
\(957\) | −7.01153 | − | 34.8661i | −0.226650 | − | 1.12706i | ||||
\(958\) | −0.0644504 | + | 0.00563868i | −0.00208230 | + | 0.000182177i | ||||
\(959\) | 1.38314 | + | 1.16060i | 0.0446641 | + | 0.0374776i | ||||
\(960\) | −24.3901 | + | 19.0730i | −0.787189 | + | 0.615578i | ||||
\(961\) | 3.17820 | + | 1.15677i | 0.102522 | + | 0.0373151i | ||||
\(962\) | −0.0274987 | − | 0.102627i | −0.000886594 | − | 0.00330881i | ||||
\(963\) | −39.9011 | + | 20.9849i | −1.28580 | + | 0.676229i | ||||
\(964\) | 9.04140 | − | 5.22006i | 0.291204 | − | 0.168127i | ||||
\(965\) | −25.1613 | + | 9.98990i | −0.809970 | + | 0.321586i | ||||
\(966\) | 0.0384305 | + | 0.00931830i | 0.00123648 | + | 0.000299811i | ||||
\(967\) | 19.0304 | + | 8.87400i | 0.611975 | + | 0.285369i | 0.703791 | − | 0.710407i | \(-0.251489\pi\) |
−0.0918158 | + | 0.995776i | \(0.529267\pi\) | |||||||
\(968\) | −0.406964 | + | 0.284960i | −0.0130803 | + | 0.00915895i | ||||
\(969\) | 10.2805 | + | 13.9592i | 0.330257 | + | 0.448434i | ||||
\(970\) | 0.0186434 | + | 0.159791i | 0.000598603 | + | 0.00513059i | ||||
\(971\) | − | 58.1766i | − | 1.86697i | −0.358610 | − | 0.933487i | \(-0.616749\pi\) | ||
0.358610 | − | 0.933487i | \(-0.383251\pi\) | |||||||
\(972\) | −18.6963 | − | 24.9444i | −0.599684 | − | 0.800091i | ||||
\(973\) | −1.48956 | + | 1.48956i | −0.0477531 | + | 0.0477531i | ||||
\(974\) | 0.277273 | − | 0.232660i | 0.00888441 | − | 0.00745490i | ||||
\(975\) | 16.0784 | + | 9.40300i | 0.514922 | + | 0.301137i | ||||
\(976\) | 8.42555 | − | 47.7837i | 0.269695 | − | 1.52952i | ||||
\(977\) | 18.3257 | − | 39.2996i | 0.586291 | − | 1.25731i | −0.359686 | − | 0.933073i | \(-0.617116\pi\) |
0.945977 | − | 0.324232i | \(-0.105106\pi\) | |||||||
\(978\) | 0.208885 | + | 0.342605i | 0.00667939 | + | 0.0109553i | ||||
\(979\) | 12.4574 | − | 2.19657i | 0.398140 | − | 0.0702028i | ||||
\(980\) | 30.9506 | + | 1.80911i | 0.988682 | + | 0.0577898i | ||||
\(981\) | 10.6836 | − | 34.3877i | 0.341103 | − | 1.09791i | ||||
\(982\) | 0.0300698 | − | 0.00805718i | 0.000959566 | − | 0.000257115i | ||||
\(983\) | 21.9924 | + | 47.1628i | 0.701447 | + | 1.50426i | 0.856387 | + | 0.516335i | \(0.172704\pi\) |
−0.154940 | + | 0.987924i | \(0.549518\pi\) | |||||||
\(984\) | 0.0176854 | + | 0.0356731i | 0.000563788 | + | 0.00113722i | ||||
\(985\) | 6.31126 | − | 11.6992i | 0.201093 | − | 0.372766i | ||||
\(986\) | −0.0811698 | + | 0.0967344i | −0.00258497 | + | 0.00308065i | ||||
\(987\) | −1.75661 | + | 0.353252i | −0.0559135 | + | 0.0112441i | ||||
\(988\) | −22.1405 | + | 10.3243i | −0.704384 | + | 0.328460i | ||||
\(989\) | −26.3860 | + | 45.7019i | −0.839026 | + | 1.45324i | ||||
\(990\) | −0.369670 | + | 0.253077i | −0.0117489 | + | 0.00804333i | ||||
\(991\) | −1.64852 | − | 2.85532i | −0.0523670 | − | 0.0907023i | 0.838654 | − | 0.544665i | \(-0.183343\pi\) |
−0.891021 | + | 0.453963i | \(0.850010\pi\) | |||||||
\(992\) | 0.788532 | + | 0.552136i | 0.0250359 | + | 0.0175303i | ||||
\(993\) | 0.411861 | + | 17.2158i | 0.0130700 | + | 0.546325i | ||||
\(994\) | 0.00691448 | + | 0.0189974i | 0.000219314 | + | 0.000602560i | ||||
\(995\) | 8.58692 | − | 9.09783i | 0.272224 | − | 0.288421i | ||||
\(996\) | −15.7618 | − | 6.89584i | −0.499431 | − | 0.218503i | ||||
\(997\) | 23.3597 | + | 2.04371i | 0.739808 | + | 0.0647248i | 0.450829 | − | 0.892610i | \(-0.351129\pi\) |
0.288979 | + | 0.957335i | \(0.406684\pi\) | |||||||
\(998\) | −0.147387 | − | 0.147387i | −0.00466546 | − | 0.00466546i | ||||
\(999\) | −16.5109 | − | 3.17609i | −0.522380 | − | 0.100487i |
(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 | 135.2.q.a.32.8 | ✓ | 192 | |
3.2 | odd | 2 | 405.2.r.a.287.9 | 192 | |||
5.2 | odd | 4 | 675.2.ba.b.518.8 | 192 | |||
5.3 | odd | 4 | inner | 135.2.q.a.113.9 | yes | 192 | |
5.4 | even | 2 | 675.2.ba.b.32.9 | 192 | |||
15.8 | even | 4 | 405.2.r.a.368.8 | 192 | |||
27.11 | odd | 18 | inner | 135.2.q.a.92.9 | yes | 192 | |
27.16 | even | 9 | 405.2.r.a.197.8 | 192 | |||
135.38 | even | 36 | inner | 135.2.q.a.38.8 | yes | 192 | |
135.43 | odd | 36 | 405.2.r.a.278.9 | 192 | |||
135.92 | even | 36 | 675.2.ba.b.443.9 | 192 | |||
135.119 | odd | 18 | 675.2.ba.b.632.8 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.8 | ✓ | 192 | 1.1 | even | 1 | trivial | |
135.2.q.a.38.8 | yes | 192 | 135.38 | even | 36 | inner | |
135.2.q.a.92.9 | yes | 192 | 27.11 | odd | 18 | inner | |
135.2.q.a.113.9 | yes | 192 | 5.3 | odd | 4 | inner | |
405.2.r.a.197.8 | 192 | 27.16 | even | 9 | |||
405.2.r.a.278.9 | 192 | 135.43 | odd | 36 | |||
405.2.r.a.287.9 | 192 | 3.2 | odd | 2 | |||
405.2.r.a.368.8 | 192 | 15.8 | even | 4 | |||
675.2.ba.b.32.9 | 192 | 5.4 | even | 2 | |||
675.2.ba.b.443.9 | 192 | 135.92 | even | 36 | |||
675.2.ba.b.518.8 | 192 | 5.2 | odd | 4 | |||
675.2.ba.b.632.8 | 192 | 135.119 | odd | 18 |