Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [184,2,Mod(11,184)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(184, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("184.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 184 = 2^{3} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 184.j (of order \(22\), degree \(10\), 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: | \(1.46924739719\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 184.11 |
Dual form | 184.2.j.a.67.8 |
$q$-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 \(\left(\mathbb{Z}/184\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(93\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.730057 | − | 1.21120i | −0.516228 | − | 0.856451i | ||||
\(3\) | 0.00352593 | − | 0.0245234i | 0.00203570 | − | 0.0141586i | −0.988778 | − | 0.149390i | \(-0.952269\pi\) |
0.990814 | + | 0.135232i | \(0.0431779\pi\) | |||||||
\(4\) | −0.934035 | + | 1.76850i | −0.467017 | + | 0.884248i | ||||
\(5\) | −3.56863 | + | 1.04785i | −1.59594 | + | 0.468611i | −0.954413 | − | 0.298489i | \(-0.903518\pi\) |
−0.641528 | + | 0.767099i | \(0.721699\pi\) | |||||||
\(6\) | −0.0322770 | + | 0.0136328i | −0.0131770 | + | 0.00556558i | ||||
\(7\) | 1.35535 | + | 1.56416i | 0.512275 | + | 0.591196i | 0.951680 | − | 0.307093i | \(-0.0993561\pi\) |
−0.439405 | + | 0.898289i | \(0.644811\pi\) | |||||||
\(8\) | 2.82391 | − | 0.159795i | 0.998403 | − | 0.0564962i | ||||
\(9\) | 2.87789 | + | 0.845025i | 0.959297 | + | 0.281675i | ||||
\(10\) | 3.87446 | + | 3.55736i | 1.22521 | + | 1.12494i | ||||
\(11\) | −1.98812 | + | 3.09358i | −0.599442 | + | 0.932750i | 0.400423 | + | 0.916330i | \(0.368863\pi\) |
−0.999865 | + | 0.0164194i | \(0.994773\pi\) | |||||||
\(12\) | 0.0400762 | + | 0.0291413i | 0.0115690 | + | 0.00841236i | ||||
\(13\) | 2.32067 | + | 2.01087i | 0.643639 | + | 0.557716i | 0.914340 | − | 0.404947i | \(-0.132710\pi\) |
−0.270701 | + | 0.962663i | \(0.587256\pi\) | |||||||
\(14\) | 0.905033 | − | 2.78353i | 0.241880 | − | 0.743930i | ||||
\(15\) | 0.0131140 | + | 0.0912096i | 0.00338601 | + | 0.0235502i | ||||
\(16\) | −2.25516 | − | 3.30367i | −0.563790 | − | 0.825918i | ||||
\(17\) | −3.89631 | + | 1.77939i | −0.944994 | + | 0.431564i | −0.827473 | − | 0.561506i | \(-0.810222\pi\) |
−0.117522 | + | 0.993070i | \(0.537495\pi\) | |||||||
\(18\) | −1.07752 | − | 4.10263i | −0.253975 | − | 0.966999i | ||||
\(19\) | −1.30211 | − | 0.594653i | −0.298724 | − | 0.136423i | 0.260414 | − | 0.965497i | \(-0.416141\pi\) |
−0.559139 | + | 0.829074i | \(0.688868\pi\) | |||||||
\(20\) | 1.48012 | − | 7.28984i | 0.330964 | − | 1.63006i | ||||
\(21\) | 0.0431373 | − | 0.0277227i | 0.00941334 | − | 0.00604959i | ||||
\(22\) | 5.19840 | + | 0.149536i | 1.10830 | + | 0.0318811i | ||||
\(23\) | −2.42579 | + | 4.13709i | −0.505812 | + | 0.862644i | ||||
\(24\) | 0.00603818 | − | 0.0698153i | 0.00123254 | − | 0.0142510i | ||||
\(25\) | 7.43090 | − | 4.77555i | 1.48618 | − | 0.955110i | ||||
\(26\) | 0.741358 | − | 4.27886i | 0.145392 | − | 0.839154i | ||||
\(27\) | 0.0617465 | − | 0.135206i | 0.0118831 | − | 0.0260204i | ||||
\(28\) | −4.03215 | + | 0.935956i | −0.762005 | + | 0.176879i | ||||
\(29\) | 2.72932 | − | 1.24644i | 0.506822 | − | 0.231458i | −0.145558 | − | 0.989350i | \(-0.546498\pi\) |
0.652380 | + | 0.757892i | \(0.273770\pi\) | |||||||
\(30\) | 0.100900 | − | 0.0824719i | 0.0184217 | − | 0.0150572i | ||||
\(31\) | −6.07375 | + | 0.873274i | −1.09088 | + | 0.156845i | −0.664197 | − | 0.747558i | \(-0.731226\pi\) |
−0.426681 | + | 0.904402i | \(0.640317\pi\) | |||||||
\(32\) | −2.35503 | + | 5.14333i | −0.416315 | + | 0.909221i | ||||
\(33\) | 0.0688551 | + | 0.0596633i | 0.0119861 | + | 0.0103860i | ||||
\(34\) | 4.99973 | + | 3.42018i | 0.857447 | + | 0.586556i | ||||
\(35\) | −6.47575 | − | 4.16171i | −1.09460 | − | 0.703458i | ||||
\(36\) | −4.18247 | + | 4.30026i | −0.697079 | + | 0.716709i | ||||
\(37\) | 7.98668 | + | 2.34510i | 1.31300 | + | 0.385532i | 0.861962 | − | 0.506972i | \(-0.169235\pi\) |
0.451039 | + | 0.892504i | \(0.351053\pi\) | |||||||
\(38\) | 0.230366 | + | 2.01125i | 0.0373704 | + | 0.326268i | ||||
\(39\) | 0.0574960 | − | 0.0498206i | 0.00920673 | − | 0.00797767i | ||||
\(40\) | −9.91006 | + | 3.52927i | −1.56692 | + | 0.558027i | ||||
\(41\) | 7.37673 | − | 2.16600i | 1.15205 | − | 0.338273i | 0.350713 | − | 0.936483i | \(-0.385939\pi\) |
0.801339 | + | 0.598210i | \(0.204121\pi\) | |||||||
\(42\) | −0.0650706 | − | 0.0320090i | −0.0100406 | − | 0.00493910i | ||||
\(43\) | −7.98064 | − | 1.14744i | −1.21704 | − | 0.174983i | −0.496274 | − | 0.868166i | \(-0.665299\pi\) |
−0.720762 | + | 0.693182i | \(0.756208\pi\) | |||||||
\(44\) | −3.61401 | − | 6.40550i | −0.544833 | − | 0.965665i | ||||
\(45\) | −11.1556 | −1.66298 | ||||||||
\(46\) | 6.78183 | − | 0.0821879i | 0.999927 | − | 0.0121179i | ||||
\(47\) | − | 3.26843i | − | 0.476749i | −0.971173 | − | 0.238375i | \(-0.923385\pi\) | ||
0.971173 | − | 0.238375i | \(-0.0766146\pi\) | |||||||
\(48\) | −0.0889688 | + | 0.0436556i | −0.0128415 | + | 0.00630115i | ||||
\(49\) | 0.386588 | − | 2.68878i | 0.0552269 | − | 0.384112i | ||||
\(50\) | −11.2091 | − | 5.51392i | −1.58521 | − | 0.779786i | ||||
\(51\) | 0.0298984 | + | 0.101825i | 0.00418662 | + | 0.0142583i | ||||
\(52\) | −5.72381 | + | 2.22588i | −0.793750 | + | 0.308673i | ||||
\(53\) | −0.700256 | − | 0.808138i | −0.0961876 | − | 0.111006i | 0.705615 | − | 0.708595i | \(-0.250671\pi\) |
−0.801802 | + | 0.597589i | \(0.796125\pi\) | |||||||
\(54\) | −0.208841 | + | 0.0239204i | −0.0284196 | + | 0.00325515i | ||||
\(55\) | 3.85329 | − | 13.1231i | 0.519578 | − | 1.76952i | ||||
\(56\) | 4.07733 | + | 4.20046i | 0.544857 | + | 0.561311i | ||||
\(57\) | −0.0191741 | + | 0.0298354i | −0.00253967 | + | 0.00395180i | ||||
\(58\) | −3.50225 | − | 2.39580i | −0.459869 | − | 0.314584i | ||||
\(59\) | −0.117997 | + | 0.136175i | −0.0153619 | + | 0.0177285i | −0.763379 | − | 0.645951i | \(-0.776461\pi\) |
0.748017 | + | 0.663680i | \(0.231006\pi\) | |||||||
\(60\) | −0.173553 | − | 0.0620009i | −0.0224056 | − | 0.00800429i | ||||
\(61\) | −0.643931 | − | 4.47864i | −0.0824469 | − | 0.573431i | −0.988610 | − | 0.150502i | \(-0.951911\pi\) |
0.906163 | − | 0.422929i | \(-0.138998\pi\) | |||||||
\(62\) | 5.49190 | + | 6.71902i | 0.697471 | + | 0.853316i | ||||
\(63\) | 2.57880 | + | 5.64678i | 0.324898 | + | 0.711428i | ||||
\(64\) | 7.94893 | − | 0.902496i | 0.993616 | − | 0.112812i | ||||
\(65\) | −10.3887 | − | 4.74437i | −1.28856 | − | 0.588467i | ||||
\(66\) | 0.0219963 | − | 0.126955i | 0.00270756 | − | 0.0156271i | ||||
\(67\) | 7.25750 | + | 11.2929i | 0.886645 | + | 1.37965i | 0.924832 | + | 0.380376i | \(0.124206\pi\) |
−0.0381865 | + | 0.999271i | \(0.512158\pi\) | |||||||
\(68\) | 0.492452 | − | 8.55262i | 0.0597186 | − | 1.03716i | ||||
\(69\) | 0.0929024 | + | 0.0740756i | 0.0111841 | + | 0.00891766i | ||||
\(70\) | −0.313021 | + | 10.8817i | −0.0374132 | + | 1.30062i | ||||
\(71\) | 4.86718 | + | 7.57348i | 0.577628 | + | 0.898806i | 0.999971 | − | 0.00762975i | \(-0.00242865\pi\) |
−0.422343 | + | 0.906436i | \(0.638792\pi\) | |||||||
\(72\) | 8.26193 | + | 1.92640i | 0.973678 | + | 0.227028i | ||||
\(73\) | −4.65097 | + | 10.1842i | −0.544355 | + | 1.19197i | 0.415014 | + | 0.909815i | \(0.363777\pi\) |
−0.959369 | + | 0.282155i | \(0.908951\pi\) | |||||||
\(74\) | −2.99033 | − | 11.3856i | −0.347619 | − | 1.32354i | ||||
\(75\) | −0.0909118 | − | 0.199069i | −0.0104976 | − | 0.0229865i | ||||
\(76\) | 2.26786 | − | 1.74735i | 0.260141 | − | 0.200435i | ||||
\(77\) | −7.53346 | + | 1.08315i | −0.858517 | + | 0.123436i | ||||
\(78\) | −0.102318 | − | 0.0332676i | −0.0115853 | − | 0.00376681i | ||||
\(79\) | 8.76095 | − | 10.1107i | 0.985684 | − | 1.13754i | −0.00481112 | − | 0.999988i | \(-0.501531\pi\) |
0.990495 | − | 0.137551i | \(-0.0439231\pi\) | |||||||
\(80\) | 11.5096 | + | 9.42654i | 1.28681 | + | 1.05392i | ||||
\(81\) | 7.56663 | + | 4.86278i | 0.840737 | + | 0.540309i | ||||
\(82\) | −8.00891 | − | 7.35343i | −0.884436 | − | 0.812051i | ||||
\(83\) | 3.37850 | − | 11.5061i | 0.370838 | − | 1.26296i | −0.536980 | − | 0.843595i | \(-0.680435\pi\) |
0.907818 | − | 0.419364i | \(-0.137747\pi\) | |||||||
\(84\) | 0.00873570 | + | 0.102182i | 0.000953144 | + | 0.0111490i | ||||
\(85\) | 12.0400 | − | 10.4327i | 1.30592 | − | 1.13159i | ||||
\(86\) | 4.43653 | + | 10.5039i | 0.478404 | + | 1.13266i | ||||
\(87\) | −0.0209435 | − | 0.0713271i | −0.00224538 | − | 0.00764707i | ||||
\(88\) | −5.11994 | + | 9.05368i | −0.545788 | + | 0.965126i | ||||
\(89\) | 4.45134 | + | 0.640006i | 0.471841 | + | 0.0678405i | 0.374134 | − | 0.927375i | \(-0.377940\pi\) |
0.0977072 | + | 0.995215i | \(0.468849\pi\) | |||||||
\(90\) | 8.14421 | + | 13.5117i | 0.858475 | + | 1.42426i | ||||
\(91\) | 6.35534i | 0.666221i | ||||||||
\(92\) | −5.05067 | − | 8.15419i | −0.526569 | − | 0.850133i | ||||
\(93\) | 0.152028i | 0.0157646i | ||||||||
\(94\) | −3.95874 | + | 2.38614i | −0.408312 | + | 0.246111i | ||||
\(95\) | 5.26985 | + | 0.757691i | 0.540676 | + | 0.0777374i | ||||
\(96\) | 0.117828 | + | 0.0758884i | 0.0120258 | + | 0.00774532i | ||||
\(97\) | 2.42428 | + | 8.25634i | 0.246148 | + | 0.838304i | 0.986172 | + | 0.165724i | \(0.0529959\pi\) |
−0.740024 | + | 0.672580i | \(0.765186\pi\) | |||||||
\(98\) | −3.53890 | + | 1.49472i | −0.357483 | + | 0.150990i | ||||
\(99\) | −8.33575 | + | 7.22297i | −0.837775 | + | 0.725936i | ||||
\(100\) | 1.50482 | + | 17.6020i | 0.150482 | + | 1.76020i | ||||
\(101\) | 3.68978 | − | 12.5663i | 0.367147 | − | 1.25039i | −0.544272 | − | 0.838909i | \(-0.683194\pi\) |
0.911419 | − | 0.411480i | \(-0.134988\pi\) | |||||||
\(102\) | 0.101503 | − | 0.110551i | 0.0100503 | − | 0.0109462i | ||||
\(103\) | −6.11533 | − | 3.93009i | −0.602562 | − | 0.387243i | 0.203499 | − | 0.979075i | \(-0.434768\pi\) |
−0.806061 | + | 0.591832i | \(0.798405\pi\) | |||||||
\(104\) | 6.87470 | + | 5.30770i | 0.674120 | + | 0.520462i | ||||
\(105\) | −0.124892 | + | 0.144133i | −0.0121882 | + | 0.0140660i | ||||
\(106\) | −0.467595 | + | 1.43814i | −0.0454168 | + | 0.139685i | ||||
\(107\) | 14.1244 | − | 2.03079i | 1.36546 | − | 0.196324i | 0.579688 | − | 0.814839i | \(-0.303175\pi\) |
0.785773 | + | 0.618515i | \(0.212265\pi\) | |||||||
\(108\) | 0.181438 | + | 0.235486i | 0.0174589 | + | 0.0226596i | ||||
\(109\) | 0.241840 | + | 0.529556i | 0.0231641 | + | 0.0507222i | 0.920860 | − | 0.389892i | \(-0.127488\pi\) |
−0.897696 | + | 0.440615i | \(0.854761\pi\) | |||||||
\(110\) | −18.7079 | + | 4.91348i | −1.78373 | + | 0.468482i | ||||
\(111\) | 0.0856703 | − | 0.187592i | 0.00813146 | − | 0.0178054i | ||||
\(112\) | 2.11094 | − | 8.00506i | 0.199465 | − | 0.756407i | ||||
\(113\) | −9.73384 | − | 15.1462i | −0.915683 | − | 1.42483i | −0.905247 | − | 0.424885i | \(-0.860315\pi\) |
−0.0104355 | − | 0.999946i | \(-0.503322\pi\) | |||||||
\(114\) | 0.0501349 | + | 0.00144217i | 0.00469557 | + | 0.000135071i | ||||
\(115\) | 4.32171 | − | 17.3056i | 0.403002 | − | 1.61376i | ||||
\(116\) | −0.344957 | + | 5.99102i | −0.0320285 | + | 0.556252i | ||||
\(117\) | 4.97940 | + | 7.74810i | 0.460346 | + | 0.716312i | ||||
\(118\) | 0.251081 | + | 0.0435024i | 0.0231138 | + | 0.00400472i | ||||
\(119\) | −8.06411 | − | 3.68276i | −0.739236 | − | 0.337598i | ||||
\(120\) | 0.0516075 | + | 0.255472i | 0.00471110 | + | 0.0233213i | ||||
\(121\) | −1.04804 | − | 2.29489i | −0.0952764 | − | 0.208626i | ||||
\(122\) | −4.95444 | + | 4.04959i | −0.448554 | + | 0.366633i | ||||
\(123\) | −0.0271079 | − | 0.188540i | −0.00244424 | − | 0.0170001i | ||||
\(124\) | 4.12871 | − | 11.5571i | 0.370769 | − | 1.03786i | ||||
\(125\) | −9.33603 | + | 10.7744i | −0.835040 | + | 0.963688i | ||||
\(126\) | 4.95674 | − | 7.24592i | 0.441582 | − | 0.645518i | ||||
\(127\) | −4.90050 | + | 7.62533i | −0.434849 | + | 0.676638i | −0.987650 | − | 0.156675i | \(-0.949923\pi\) |
0.552801 | + | 0.833313i | \(0.313559\pi\) | |||||||
\(128\) | −6.89628 | − | 8.96891i | −0.609551 | − | 0.792747i | ||||
\(129\) | −0.0562784 | + | 0.191667i | −0.00495504 | + | 0.0168753i | ||||
\(130\) | 1.83795 | + | 16.0465i | 0.161199 | + | 1.40737i | ||||
\(131\) | 12.9101 | + | 14.8991i | 1.12796 | + | 1.30174i | 0.948074 | + | 0.318051i | \(0.103028\pi\) |
0.179889 | + | 0.983687i | \(0.442426\pi\) | |||||||
\(132\) | −0.169827 | + | 0.0660424i | −0.0147816 | + | 0.00574825i | ||||
\(133\) | −0.834683 | − | 2.84267i | −0.0723762 | − | 0.246491i | ||||
\(134\) | 8.37962 | − | 17.0348i | 0.723889 | − | 1.47158i | ||||
\(135\) | −0.0786757 | + | 0.547202i | −0.00677133 | + | 0.0470956i | ||||
\(136\) | −10.7185 | + | 5.64744i | −0.919103 | + | 0.484264i | ||||
\(137\) | 0.641072i | 0.0547705i | 0.999625 | + | 0.0273852i | \(0.00871808\pi\) | ||||
−0.999625 | + | 0.0273852i | \(0.991282\pi\) | |||||||
\(138\) | 0.0218967 | − | 0.166603i | 0.00186397 | − | 0.0141822i | ||||
\(139\) | −6.83879 | −0.580059 | −0.290029 | − | 0.957018i | \(-0.593665\pi\) | ||||
−0.290029 | + | 0.957018i | \(0.593665\pi\) | |||||||
\(140\) | 13.4085 | − | 7.56516i | 1.13323 | − | 0.639372i | ||||
\(141\) | −0.0801529 | − | 0.0115243i | −0.00675009 | − | 0.000970517i | ||||
\(142\) | 5.61972 | − | 11.4242i | 0.471596 | − | 0.958699i | ||||
\(143\) | −10.8346 | + | 3.18132i | −0.906034 | + | 0.266036i | ||||
\(144\) | −3.69841 | − | 11.4133i | −0.308201 | − | 0.951106i | ||||
\(145\) | −8.43388 | + | 7.30800i | −0.700395 | + | 0.606896i | ||||
\(146\) | 15.7306 | − | 1.80177i | 1.30188 | − | 0.149115i | ||||
\(147\) | −0.0645749 | − | 0.0189609i | −0.00532605 | − | 0.00156387i | ||||
\(148\) | −11.6071 | + | 11.9340i | −0.954101 | + | 0.980969i | ||||
\(149\) | 12.3750 | + | 7.95290i | 1.01380 | + | 0.651527i | 0.938373 | − | 0.345624i | \(-0.112333\pi\) |
0.0754232 | + | 0.997152i | \(0.475969\pi\) | |||||||
\(150\) | −0.174743 | + | 0.255445i | −0.0142677 | + | 0.0208570i | ||||
\(151\) | −5.39215 | − | 4.67232i | −0.438807 | − | 0.380228i | 0.407254 | − | 0.913315i | \(-0.366486\pi\) |
−0.846060 | + | 0.533087i | \(0.821032\pi\) | |||||||
\(152\) | −3.77206 | − | 1.47118i | −0.305954 | − | 0.119328i | ||||
\(153\) | −12.7168 | + | 1.82840i | −1.02809 | + | 0.147817i | ||||
\(154\) | 6.81176 | + | 8.33380i | 0.548908 | + | 0.671557i | ||||
\(155\) | 20.7599 | − | 9.48075i | 1.66748 | − | 0.761512i | ||||
\(156\) | 0.0344042 | + | 0.148216i | 0.00275454 | + | 0.0118667i | ||||
\(157\) | −2.49078 | + | 5.45405i | −0.198786 | + | 0.435281i | −0.982605 | − | 0.185709i | \(-0.940542\pi\) |
0.783819 | + | 0.620990i | \(0.213269\pi\) | |||||||
\(158\) | −18.6421 | − | 3.22994i | −1.48308 | − | 0.256960i | ||||
\(159\) | −0.0222873 | + | 0.0143232i | −0.00176750 | + | 0.00113590i | ||||
\(160\) | 3.01483 | − | 20.8224i | 0.238343 | − | 1.64615i | ||||
\(161\) | −9.75887 | + | 1.81290i | −0.769106 | + | 0.142877i | ||||
\(162\) | 0.365752 | − | 12.7149i | 0.0287362 | − | 0.998973i | ||||
\(163\) | −15.6529 | + | 10.0595i | −1.22603 | + | 0.787923i | −0.983268 | − | 0.182162i | \(-0.941690\pi\) |
−0.242764 | + | 0.970085i | \(0.578054\pi\) | |||||||
\(164\) | −3.05955 | + | 15.0689i | −0.238911 | + | 1.17668i | ||||
\(165\) | −0.308236 | − | 0.140767i | −0.0239962 | − | 0.0109587i | ||||
\(166\) | −16.4027 | + | 4.30806i | −1.27310 | + | 0.334370i | ||||
\(167\) | −4.75934 | + | 2.17352i | −0.368289 | + | 0.168192i | −0.590958 | − | 0.806702i | \(-0.701250\pi\) |
0.222670 | + | 0.974894i | \(0.428523\pi\) | |||||||
\(168\) | 0.117386 | − | 0.0851795i | 0.00905653 | − | 0.00657174i | ||||
\(169\) | −0.508186 | − | 3.53451i | −0.0390912 | − | 0.271886i | ||||
\(170\) | −21.4260 | − | 6.96642i | −1.64330 | − | 0.534300i | ||||
\(171\) | −3.24483 | − | 2.81166i | −0.248138 | − | 0.215013i | ||||
\(172\) | 9.48345 | − | 13.0420i | 0.723106 | − | 0.994442i | ||||
\(173\) | −5.75876 | + | 8.96080i | −0.437830 | + | 0.681277i | −0.988118 | − | 0.153698i | \(-0.950882\pi\) |
0.550288 | + | 0.834975i | \(0.314518\pi\) | |||||||
\(174\) | −0.0711018 | + | 0.0774397i | −0.00539021 | + | 0.00587069i | ||||
\(175\) | 17.5412 | + | 5.15056i | 1.32599 | + | 0.389346i | ||||
\(176\) | 14.7037 | − | 0.408405i | 1.10833 | − | 0.0307847i | ||||
\(177\) | 0.00292343 | + | 0.00337382i | 0.000219739 | + | 0.000253592i | ||||
\(178\) | −2.47455 | − | 5.85873i | −0.185476 | − | 0.439130i | ||||
\(179\) | 8.77433 | − | 2.57638i | 0.655824 | − | 0.192567i | 0.0631431 | − | 0.998004i | \(-0.479888\pi\) |
0.592681 | + | 0.805437i | \(0.298069\pi\) | |||||||
\(180\) | 10.4197 | − | 19.7286i | 0.776639 | − | 1.47048i | ||||
\(181\) | 1.59976 | − | 11.1266i | 0.118910 | − | 0.827034i | −0.839851 | − | 0.542818i | \(-0.817358\pi\) |
0.958760 | − | 0.284216i | \(-0.0917334\pi\) | |||||||
\(182\) | 7.69762 | − | 4.63976i | 0.570586 | − | 0.343922i | ||||
\(183\) | −0.112102 | −0.00828681 | ||||||||
\(184\) | −6.18912 | + | 12.0704i | −0.456268 | + | 0.889843i | ||||
\(185\) | −30.9588 | −2.27614 | ||||||||
\(186\) | 0.184137 | − | 0.110989i | 0.0135016 | − | 0.00813812i | ||||
\(187\) | 2.24168 | − | 15.5912i | 0.163928 | − | 1.14014i | ||||
\(188\) | 5.78020 | + | 3.05282i | 0.421565 | + | 0.222650i | ||||
\(189\) | 0.295172 | − | 0.0866703i | 0.0214706 | − | 0.00630434i | ||||
\(190\) | −2.92957 | − | 6.93603i | −0.212534 | − | 0.503192i | ||||
\(191\) | −6.34859 | − | 7.32666i | −0.459368 | − | 0.530138i | 0.478056 | − | 0.878329i | \(-0.341342\pi\) |
−0.937424 | + | 0.348191i | \(0.886796\pi\) | |||||||
\(192\) | 0.00589513 | − | 0.198117i | 0.000425444 | − | 0.0142979i | ||||
\(193\) | 17.2501 | + | 5.06508i | 1.24169 | + | 0.364593i | 0.835649 | − | 0.549263i | \(-0.185092\pi\) |
0.406039 | + | 0.913856i | \(0.366910\pi\) | |||||||
\(194\) | 8.23025 | − | 8.96389i | 0.590898 | − | 0.643570i | ||||
\(195\) | −0.152978 | + | 0.238038i | −0.0109550 | + | 0.0170463i | ||||
\(196\) | 4.39401 | + | 3.19509i | 0.313858 | + | 0.228221i | ||||
\(197\) | 3.86285 | + | 3.34718i | 0.275216 | + | 0.238476i | 0.781522 | − | 0.623878i | \(-0.214444\pi\) |
−0.506305 | + | 0.862354i | \(0.668989\pi\) | |||||||
\(198\) | 14.8341 | + | 4.82313i | 1.05421 | + | 0.342765i | ||||
\(199\) | 3.64001 | + | 25.3168i | 0.258033 | + | 1.79466i | 0.546801 | + | 0.837263i | \(0.315846\pi\) |
−0.288767 | + | 0.957399i | \(0.593245\pi\) | |||||||
\(200\) | 20.2211 | − | 14.6731i | 1.42985 | − | 1.03755i | ||||
\(201\) | 0.302530 | − | 0.138161i | 0.0213388 | − | 0.00974510i | ||||
\(202\) | −17.9141 | + | 4.70499i | −1.26043 | + | 0.331042i | ||||
\(203\) | 5.64882 | + | 2.57973i | 0.396469 | + | 0.181062i | ||||
\(204\) | −0.208003 | − | 0.0422325i | −0.0145631 | − | 0.00295687i | ||||
\(205\) | −24.0552 | + | 15.4594i | −1.68009 | + | 1.07973i | ||||
\(206\) | −0.295600 | + | 10.2761i | −0.0205954 | + | 0.715970i | ||||
\(207\) | −10.4771 | + | 9.85625i | −0.728209 | + | 0.685057i | ||||
\(208\) | 1.40979 | − | 12.2016i | 0.0977511 | − | 0.846028i | ||||
\(209\) | 4.42836 | − | 2.84593i | 0.306316 | − | 0.196857i | ||||
\(210\) | 0.265754 | + | 0.0460446i | 0.0183387 | + | 0.00317738i | ||||
\(211\) | 7.55252 | − | 16.5377i | 0.519937 | − | 1.13850i | −0.449527 | − | 0.893267i | \(-0.648407\pi\) |
0.969464 | − | 0.245236i | \(-0.0788653\pi\) | |||||||
\(212\) | 2.08325 | − | 0.483571i | 0.143078 | − | 0.0332118i | ||||
\(213\) | 0.202889 | − | 0.0926561i | 0.0139017 | − | 0.00634869i | ||||
\(214\) | −12.7713 | − | 15.6250i | −0.873031 | − | 1.06810i | ||||
\(215\) | 29.6823 | − | 4.26768i | 2.02432 | − | 0.291053i | ||||
\(216\) | 0.152761 | − | 0.391676i | 0.0103941 | − | 0.0266502i | ||||
\(217\) | −9.59800 | − | 8.31672i | −0.651555 | − | 0.564576i | ||||
\(218\) | 0.464844 | − | 0.679523i | 0.0314832 | − | 0.0460231i | ||||
\(219\) | 0.233352 | + | 0.149966i | 0.0157685 | + | 0.0101338i | ||||
\(220\) | 19.6091 | + | 19.0720i | 1.32204 | + | 1.28583i | ||||
\(221\) | −12.6202 | − | 3.70562i | −0.848926 | − | 0.249267i | ||||
\(222\) | −0.289756 | + | 0.0331883i | −0.0194472 | + | 0.00222746i | ||||
\(223\) | 4.71647 | − | 4.08684i | 0.315838 | − | 0.273675i | −0.482486 | − | 0.875904i | \(-0.660266\pi\) |
0.798324 | + | 0.602229i | \(0.205720\pi\) | |||||||
\(224\) | −11.2369 | + | 3.28737i | −0.750795 | + | 0.219647i | ||||
\(225\) | 25.4208 | − | 7.46421i | 1.69472 | − | 0.497614i | ||||
\(226\) | −11.2388 | + | 22.8472i | −0.747596 | + | 1.51978i | ||||
\(227\) | −5.20890 | − | 0.748927i | −0.345727 | − | 0.0497080i | −0.0327356 | − | 0.999464i | \(-0.510422\pi\) |
−0.312991 | + | 0.949756i | \(0.601331\pi\) | |||||||
\(228\) | −0.0348546 | − | 0.0617765i | −0.00230830 | − | 0.00409125i | ||||
\(229\) | 9.33871 | 0.617119 | 0.308560 | − | 0.951205i | \(-0.400153\pi\) | ||||
0.308560 | + | 0.951205i | \(0.400153\pi\) | |||||||
\(230\) | −24.1158 | + | 7.39961i | −1.59015 | + | 0.487916i | ||||
\(231\) | 0.188565i | 0.0124067i | ||||||||
\(232\) | 7.50818 | − | 3.95597i | 0.492936 | − | 0.259722i | ||||
\(233\) | −0.196034 | + | 1.36345i | −0.0128426 | + | 0.0893225i | −0.995235 | − | 0.0975087i | \(-0.968913\pi\) |
0.982392 | + | 0.186831i | \(0.0598217\pi\) | |||||||
\(234\) | 5.74929 | − | 11.6876i | 0.375843 | − | 0.764044i | ||||
\(235\) | 3.42481 | + | 11.6638i | 0.223410 | + | 0.760864i | ||||
\(236\) | −0.130613 | − | 0.335869i | −0.00850217 | − | 0.0218632i | ||||
\(237\) | −0.217057 | − | 0.250498i | −0.0140994 | − | 0.0162716i | ||||
\(238\) | 1.42669 | + | 12.4559i | 0.0924783 | + | 0.807397i | ||||
\(239\) | −1.95869 | + | 6.67067i | −0.126697 | + | 0.431490i | −0.998271 | − | 0.0587731i | \(-0.981281\pi\) |
0.871574 | + | 0.490263i | \(0.163099\pi\) | |||||||
\(240\) | 0.271753 | − | 0.249016i | 0.0175416 | − | 0.0160739i | ||||
\(241\) | 3.22788 | − | 5.02269i | 0.207926 | − | 0.323540i | −0.721590 | − | 0.692321i | \(-0.756588\pi\) |
0.929516 | + | 0.368781i | \(0.120225\pi\) | |||||||
\(242\) | −2.01445 | + | 2.94479i | −0.129494 | + | 0.189298i | ||||
\(243\) | 0.437943 | − | 0.505413i | 0.0280941 | − | 0.0324223i | ||||
\(244\) | 8.52191 | + | 3.04441i | 0.545559 | + | 0.194899i | ||||
\(245\) | 1.43783 | + | 10.0004i | 0.0918599 | + | 0.638900i | ||||
\(246\) | −0.208570 | + | 0.170478i | −0.0132979 | + | 0.0108693i | ||||
\(247\) | −1.82600 | − | 3.99837i | −0.116185 | − | 0.254410i | ||||
\(248\) | −17.0122 | + | 3.43660i | −1.08027 | + | 0.218225i | ||||
\(249\) | −0.270256 | − | 0.123422i | −0.0171268 | − | 0.00782155i | ||||
\(250\) | 19.8658 | + | 3.44196i | 1.25642 | + | 0.217689i | ||||
\(251\) | −3.41213 | − | 5.30938i | −0.215372 | − | 0.335125i | 0.716711 | − | 0.697370i | \(-0.245647\pi\) |
−0.932083 | + | 0.362245i | \(0.882010\pi\) | |||||||
\(252\) | −12.3950 | − | 0.713693i | −0.780812 | − | 0.0449584i | ||||
\(253\) | −7.97567 | − | 15.7294i | −0.501426 | − | 0.988900i | ||||
\(254\) | 12.8135 | + | 0.368589i | 0.803989 | + | 0.0231273i | ||||
\(255\) | −0.213393 | − | 0.332046i | −0.0133632 | − | 0.0207935i | ||||
\(256\) | −5.82852 | + | 14.9006i | −0.364282 | + | 0.931289i | ||||
\(257\) | −7.57027 | + | 16.5766i | −0.472220 | + | 1.03402i | 0.512309 | + | 0.858801i | \(0.328790\pi\) |
−0.984530 | + | 0.175217i | \(0.943937\pi\) | |||||||
\(258\) | 0.273234 | − | 0.0717628i | 0.0170108 | − | 0.00446776i | ||||
\(259\) | 7.15664 | + | 15.6709i | 0.444692 | + | 0.973740i | ||||
\(260\) | 18.0938 | − | 13.9410i | 1.12213 | − | 0.864585i | ||||
\(261\) | 8.90796 | − | 1.28077i | 0.551389 | − | 0.0792778i | ||||
\(262\) | 8.62071 | − | 26.5140i | 0.532589 | − | 1.63804i | ||||
\(263\) | −7.99883 | + | 9.23114i | −0.493229 | + | 0.569217i | −0.946726 | − | 0.322041i | \(-0.895631\pi\) |
0.453497 | + | 0.891258i | \(0.350176\pi\) | |||||||
\(264\) | 0.203974 | + | 0.157481i | 0.0125538 | + | 0.00969228i | ||||
\(265\) | 3.34576 | + | 2.15019i | 0.205528 | + | 0.132085i | ||||
\(266\) | −2.83369 | + | 3.08628i | −0.173745 | + | 0.189232i | ||||
\(267\) | 0.0313902 | − | 0.106905i | 0.00192105 | − | 0.00654250i | ||||
\(268\) | −26.7502 | + | 2.28691i | −1.63403 | + | 0.139696i | ||||
\(269\) | 2.83160 | − | 2.45359i | 0.172646 | − | 0.149598i | −0.564252 | − | 0.825603i | \(-0.690835\pi\) |
0.736898 | + | 0.676004i | \(0.236290\pi\) | |||||||
\(270\) | 0.720211 | − | 0.304196i | 0.0438307 | − | 0.0185128i | ||||
\(271\) | −8.24323 | − | 28.0739i | −0.500741 | − | 1.70537i | −0.690323 | − | 0.723501i | \(-0.742532\pi\) |
0.189583 | − | 0.981865i | \(-0.439286\pi\) | |||||||
\(272\) | 14.6653 | + | 8.85934i | 0.889215 | + | 0.537177i | ||||
\(273\) | 0.155855 | + | 0.0224085i | 0.00943275 | + | 0.00135622i | ||||
\(274\) | 0.776469 | − | 0.468019i | 0.0469082 | − | 0.0282740i | ||||
\(275\) | 32.4825i | 1.95877i | ||||||||
\(276\) | −0.217777 | + | 0.0951084i | −0.0131086 | + | 0.00572485i | ||||
\(277\) | − | 15.0045i | − | 0.901535i | −0.892641 | − | 0.450767i | \(-0.851150\pi\) | ||
0.892641 | − | 0.450767i | \(-0.148850\pi\) | |||||||
\(278\) | 4.99270 | + | 8.28317i | 0.299442 | + | 0.496792i | ||||
\(279\) | −18.2175 | − | 2.61928i | −1.09065 | − | 0.156812i | ||||
\(280\) | −18.9520 | − | 10.7175i | −1.13260 | − | 0.640493i | ||||
\(281\) | 5.48845 | + | 18.6920i | 0.327414 | + | 1.11507i | 0.944592 | + | 0.328245i | \(0.106457\pi\) |
−0.617179 | + | 0.786823i | \(0.711724\pi\) | |||||||
\(282\) | 0.0445579 | + | 0.105495i | 0.00265339 | + | 0.00628213i | ||||
\(283\) | −14.8941 | + | 12.9058i | −0.885360 | + | 0.767169i | −0.973439 | − | 0.228945i | \(-0.926473\pi\) |
0.0880793 | + | 0.996113i | \(0.471927\pi\) | |||||||
\(284\) | −17.9398 | + | 1.53370i | −1.06453 | + | 0.0910082i | ||||
\(285\) | 0.0371623 | − | 0.126563i | 0.00220130 | − | 0.00749695i | ||||
\(286\) | 11.7631 | + | 10.8004i | 0.695566 | + | 0.638639i | ||||
\(287\) | 13.3860 | + | 8.60269i | 0.790153 | + | 0.507800i | ||||
\(288\) | −11.1238 | + | 12.8119i | −0.655474 | + | 0.754947i | ||||
\(289\) | 0.882399 | − | 1.01834i | 0.0519058 | − | 0.0599025i | ||||
\(290\) | 15.0087 | + | 4.87990i | 0.881341 | + | 0.286558i | ||||
\(291\) | 0.211021 | − | 0.0303403i | 0.0123703 | − | 0.00177858i | ||||
\(292\) | −13.6666 | − | 17.7376i | −0.799775 | − | 1.03802i | ||||
\(293\) | 1.62805 | + | 3.56494i | 0.0951118 | + | 0.208266i | 0.951208 | − | 0.308551i | \(-0.0998441\pi\) |
−0.856096 | + | 0.516817i | \(0.827117\pi\) | |||||||
\(294\) | 0.0241778 | + | 0.0920560i | 0.00141008 | + | 0.00536882i | ||||
\(295\) | 0.278396 | − | 0.609602i | 0.0162088 | − | 0.0354924i | ||||
\(296\) | 22.9284 | + | 5.34612i | 1.33269 | + | 0.310737i | ||||
\(297\) | 0.295511 | + | 0.459824i | 0.0171473 | + | 0.0266817i | ||||
\(298\) | 0.598174 | − | 20.7947i | 0.0346513 | − | 1.20460i | ||||
\(299\) | −13.9486 | + | 4.72289i | −0.806671 | + | 0.273132i | ||||
\(300\) | 0.436968 | + | 0.0251602i | 0.0252283 | + | 0.00145262i | ||||
\(301\) | −9.02179 | − | 14.0382i | −0.520007 | − | 0.809147i | ||||
\(302\) | −1.72257 | + | 9.94205i | −0.0991225 | + | 0.572101i | ||||
\(303\) | −0.295157 | − | 0.134794i | −0.0169563 | − | 0.00774370i | ||||
\(304\) | 0.971922 | + | 5.64278i | 0.0557436 | + | 0.323636i | ||||
\(305\) | 6.99087 | + | 15.3079i | 0.400296 | + | 0.876527i | ||||
\(306\) | 11.4985 | + | 14.0678i | 0.657327 | + | 0.804202i | ||||
\(307\) | −2.76475 | − | 19.2293i | −0.157793 | − | 1.09747i | −0.902690 | − | 0.430292i | \(-0.858410\pi\) |
0.744897 | − | 0.667179i | \(-0.232499\pi\) | |||||||
\(308\) | 5.12097 | − | 14.3346i | 0.291794 | − | 0.816789i | ||||
\(309\) | −0.117941 | + | 0.136112i | −0.00670945 | + | 0.00774311i | ||||
\(310\) | −26.6391 | − | 18.2231i | −1.51300 | − | 1.03500i | ||||
\(311\) | 6.50617 | − | 10.1238i | 0.368931 | − | 0.574068i | −0.606305 | − | 0.795232i | \(-0.707349\pi\) |
0.975237 | + | 0.221164i | \(0.0709855\pi\) | |||||||
\(312\) | 0.154402 | − | 0.149876i | 0.00874131 | − | 0.00848508i | ||||
\(313\) | 4.08787 | − | 13.9220i | 0.231060 | − | 0.786919i | −0.759579 | − | 0.650415i | \(-0.774595\pi\) |
0.990640 | − | 0.136504i | \(-0.0435866\pi\) | |||||||
\(314\) | 8.42439 | − | 0.964920i | 0.475416 | − | 0.0544536i | ||||
\(315\) | −15.1197 | − | 17.4491i | −0.851901 | − | 0.983146i | ||||
\(316\) | 9.69766 | + | 24.9374i | 0.545536 | + | 1.40284i | ||||
\(317\) | 9.43485 | + | 32.1321i | 0.529914 | + | 1.80472i | 0.591105 | + | 0.806595i | \(0.298692\pi\) |
−0.0611907 | + | 0.998126i | \(0.519490\pi\) | |||||||
\(318\) | 0.0336194 | + | 0.0165378i | 0.00188528 | + | 0.000927393i | ||||
\(319\) | −1.57027 | + | 10.9215i | −0.0879181 | + | 0.611484i | ||||
\(320\) | −27.4211 | + | 11.5499i | −1.53289 | + | 0.645661i | ||||
\(321\) | − | 0.353539i | − | 0.0197326i | ||||||
\(322\) | 9.32032 | + | 10.4965i | 0.519401 | + | 0.584945i | ||||
\(323\) | 6.13154 | 0.341168 | ||||||||
\(324\) | −15.6673 | + | 8.83956i | −0.870406 | + | 0.491087i | ||||
\(325\) | 26.8477 | + | 3.86012i | 1.48924 | + | 0.214121i | ||||
\(326\) | 23.6117 | + | 11.6149i | 1.30773 | + | 0.643289i | ||||
\(327\) | 0.0138392 | − | 0.00406356i | 0.000765310 | − | 0.000224715i | ||||
\(328\) | 20.4851 | − | 7.29537i | 1.13110 | − | 0.402819i | ||||
\(329\) | 5.11234 | − | 4.42987i | 0.281852 | − | 0.244227i | ||||
\(330\) | 0.0545326 | + | 0.476105i | 0.00300192 | + | 0.0262087i | ||||
\(331\) | 8.24268 | + | 2.42027i | 0.453059 | + | 0.133030i | 0.500298 | − | 0.865854i | \(-0.333224\pi\) |
−0.0472387 | + | 0.998884i | \(0.515042\pi\) | |||||||
\(332\) | 17.1929 | + | 16.7220i | 0.943581 | + | 0.917737i | ||||
\(333\) | 21.0031 | + | 13.4979i | 1.15096 | + | 0.739679i | ||||
\(334\) | 6.10716 | + | 4.17774i | 0.334169 | + | 0.228596i | ||||
\(335\) | −37.7326 | − | 32.6955i | −2.06155 | − | 1.78634i | ||||
\(336\) | −0.188868 | − | 0.0799926i | −0.0103036 | − | 0.00436396i | ||||
\(337\) | 10.7870 | − | 1.55094i | 0.587607 | − | 0.0844851i | 0.157903 | − | 0.987455i | \(-0.449527\pi\) |
0.429705 | + | 0.902970i | \(0.358618\pi\) | |||||||
\(338\) | −3.91001 | + | 3.19591i | −0.212677 | + | 0.173835i | ||||
\(339\) | −0.405756 | + | 0.185302i | −0.0220376 | + | 0.0100643i | ||||
\(340\) | 7.20444 | + | 31.0372i | 0.390716 | + | 1.68323i | ||||
\(341\) | 9.37382 | − | 20.5258i | 0.507621 | − | 1.11154i | ||||
\(342\) | −1.03659 | + | 5.98282i | −0.0560522 | + | 0.323514i | ||||
\(343\) | 16.9175 | − | 10.8722i | 0.913460 | − | 0.587045i | ||||
\(344\) | −22.7200 | − | 1.96501i | −1.22498 | − | 0.105946i | ||||
\(345\) | −0.409155 | − | 0.167001i | −0.0220281 | − | 0.00899106i | ||||
\(346\) | 15.0576 | + | 0.433142i | 0.809501 | + | 0.0232859i | ||||
\(347\) | 15.2769 | − | 9.81786i | 0.820107 | − | 0.527051i | −0.0620134 | − | 0.998075i | \(-0.519752\pi\) |
0.882120 | + | 0.471025i | \(0.156116\pi\) | |||||||
\(348\) | 0.145704 | + | 0.0295834i | 0.00781054 | + | 0.00158584i | ||||
\(349\) | −19.1617 | − | 8.75087i | −1.02570 | − | 0.468423i | −0.169757 | − | 0.985486i | \(-0.554298\pi\) |
−0.855948 | + | 0.517063i | \(0.827025\pi\) | |||||||
\(350\) | −6.56768 | − | 25.0062i | −0.351057 | − | 1.33664i | ||||
\(351\) | 0.415176 | − | 0.189605i | 0.0221605 | − | 0.0101203i | ||||
\(352\) | −11.2292 | − | 17.5111i | −0.598519 | − | 0.933342i | ||||
\(353\) | −3.10654 | − | 21.6064i | −0.165344 | − | 1.14999i | −0.888355 | − | 0.459157i | \(-0.848151\pi\) |
0.723011 | − | 0.690837i | \(-0.242758\pi\) | |||||||
\(354\) | 0.00195212 | − | 0.00600396i | 0.000103754 | − | 0.000319107i | ||||
\(355\) | −25.3050 | − | 21.9269i | −1.34305 | − | 1.16376i | ||||
\(356\) | −5.28955 | + | 7.27439i | −0.280346 | + | 0.385542i | ||||
\(357\) | −0.118747 | + | 0.184774i | −0.00628477 | + | 0.00977929i | ||||
\(358\) | −9.52628 | − | 8.74661i | −0.503480 | − | 0.462273i | ||||
\(359\) | 14.5073 | + | 4.25973i | 0.765667 | + | 0.224820i | 0.641169 | − | 0.767400i | \(-0.278450\pi\) |
0.124498 | + | 0.992220i | \(0.460268\pi\) | |||||||
\(360\) | −31.5024 | + | 1.78261i | −1.66032 | + | 0.0939519i | ||||
\(361\) | −11.1005 | − | 12.8106i | −0.584236 | − | 0.674244i | ||||
\(362\) | −14.6445 | + | 6.18541i | −0.769699 | + | 0.325098i | ||||
\(363\) | −0.0599737 | + | 0.0176099i | −0.00314781 | + | 0.000924279i | ||||
\(364\) | −11.2394 | − | 5.93611i | −0.589105 | − | 0.311137i | ||||
\(365\) | 5.92613 | − | 41.2172i | 0.310188 | − | 2.15741i | ||||
\(366\) | 0.0818407 | + | 0.135778i | 0.00427788 | + | 0.00709724i | ||||
\(367\) | 31.1705 | 1.62708 | 0.813542 | − | 0.581506i | \(-0.197536\pi\) | ||||
0.813542 | + | 0.581506i | \(0.197536\pi\) | |||||||
\(368\) | 19.1381 | − | 1.31580i | 0.997645 | − | 0.0685907i | ||||
\(369\) | 23.0598 | 1.20044 | ||||||||
\(370\) | 22.6017 | + | 37.4975i | 1.17501 | + | 1.94940i | ||||
\(371\) | 0.314964 | − | 2.19062i | 0.0163521 | − | 0.113731i | ||||
\(372\) | −0.268861 | − | 0.141999i | −0.0139398 | − | 0.00736233i | ||||
\(373\) | 9.10707 | − | 2.67408i | 0.471546 | − | 0.138458i | −0.0373213 | − | 0.999303i | \(-0.511882\pi\) |
0.508868 | + | 0.860845i | \(0.330064\pi\) | |||||||
\(374\) | −20.5207 | + | 8.66733i | −1.06110 | + | 0.448177i | ||||
\(375\) | 0.231306 | + | 0.266941i | 0.0119446 | + | 0.0137848i | ||||
\(376\) | −0.522280 | − | 9.22974i | −0.0269345 | − | 0.475988i | ||||
\(377\) | 8.84030 | + | 2.59575i | 0.455299 | + | 0.133688i | ||||
\(378\) | −0.320468 | − | 0.294239i | −0.0164831 | − | 0.0151340i | ||||
\(379\) | −6.91860 | + | 10.7656i | −0.355385 | + | 0.552989i | −0.972210 | − | 0.234111i | \(-0.924782\pi\) |
0.616825 | + | 0.787100i | \(0.288418\pi\) | |||||||
\(380\) | −6.26220 | + | 8.61201i | −0.321244 | + | 0.441787i | ||||
\(381\) | 0.169720 | + | 0.147063i | 0.00869502 | + | 0.00753428i | ||||
\(382\) | −4.23926 | + | 13.0383i | −0.216899 | + | 0.667098i | ||||
\(383\) | −1.49113 | − | 10.3710i | −0.0761929 | − | 0.529933i | −0.991794 | − | 0.127846i | \(-0.959194\pi\) |
0.915601 | − | 0.402088i | \(-0.131715\pi\) | |||||||
\(384\) | −0.244264 | + | 0.137496i | −0.0124650 | + | 0.00701658i | ||||
\(385\) | 25.7492 | − | 11.7593i | 1.31230 | − | 0.599307i | ||||
\(386\) | −6.45869 | − | 24.5912i | −0.328739 | − | 1.25166i | ||||
\(387\) | −21.9978 | − | 10.0461i | −1.11821 | − | 0.510670i | ||||
\(388\) | −16.8657 | − | 3.42437i | −0.856224 | − | 0.173846i | ||||
\(389\) | −6.16578 | + | 3.96250i | −0.312617 | + | 0.200907i | −0.687535 | − | 0.726151i | \(-0.741307\pi\) |
0.374918 | + | 0.927058i | \(0.377671\pi\) | |||||||
\(390\) | 0.399996 | + | 0.0115062i | 0.0202546 | + | 0.000582637i | ||||
\(391\) | 2.09014 | − | 20.4358i | 0.105703 | − | 1.03348i | ||||
\(392\) | 0.662036 | − | 7.65465i | 0.0334379 | − | 0.386618i | ||||
\(393\) | 0.410896 | − | 0.264067i | 0.0207270 | − | 0.0133204i | ||||
\(394\) | 1.23402 | − | 7.12233i | 0.0621690 | − | 0.358818i | ||||
\(395\) | −20.6702 | + | 45.2614i | −1.04003 | + | 2.27735i | ||||
\(396\) | −4.98792 | − | 21.4883i | −0.250652 | − | 1.07983i | ||||
\(397\) | −5.19709 | + | 2.37343i | −0.260835 | + | 0.119119i | −0.541540 | − | 0.840675i | \(-0.682159\pi\) |
0.280706 | + | 0.959794i | \(0.409431\pi\) | |||||||
\(398\) | 28.0064 | − | 22.8915i | 1.40384 | − | 1.14745i | ||||
\(399\) | −0.0726549 | + | 0.0104462i | −0.00363729 | + | 0.000522964i | ||||
\(400\) | −32.5347 | − | 13.7796i | −1.62674 | − | 0.688982i | ||||
\(401\) | −5.12279 | − | 4.43893i | −0.255820 | − | 0.221669i | 0.517503 | − | 0.855681i | \(-0.326862\pi\) |
−0.773323 | + | 0.634012i | \(0.781407\pi\) | |||||||
\(402\) | −0.388205 | − | 0.265560i | −0.0193619 | − | 0.0132449i | ||||
\(403\) | −15.8512 | − | 10.1870i | −0.789606 | − | 0.507449i | ||||
\(404\) | 18.7770 | + | 18.2627i | 0.934190 | + | 0.908603i | ||||
\(405\) | −32.0980 | − | 9.42482i | −1.59496 | − | 0.468323i | ||||
\(406\) | −0.999378 | − | 8.72523i | −0.0495983 | − | 0.433026i | ||||
\(407\) | −23.1333 | + | 20.0451i | −1.14667 | + | 0.993598i | ||||
\(408\) | 0.100702 | + | 0.282766i | 0.00498547 | + | 0.0139990i | ||||
\(409\) | 17.2830 | − | 5.07475i | 0.854590 | − | 0.250930i | 0.175042 | − | 0.984561i | \(-0.443994\pi\) |
0.679549 | + | 0.733631i | \(0.262176\pi\) | |||||||
\(410\) | 36.2861 | + | 17.8496i | 1.79204 | + | 0.881529i | ||||
\(411\) | 0.0157213 | + | 0.00226037i | 0.000775472 | + | 0.000111496i | ||||
\(412\) | 12.6623 | − | 7.14411i | 0.623826 | − | 0.351965i | ||||
\(413\) | −0.372927 | −0.0183505 | ||||||||
\(414\) | 19.5868 | + | 5.49429i | 0.962640 | + | 0.270030i | ||||
\(415\) | 44.6012i | 2.18939i | ||||||||
\(416\) | −15.8078 | + | 7.20031i | −0.775044 | + | 0.353024i | ||||
\(417\) | −0.0241131 | + | 0.167710i | −0.00118082 | + | 0.00821281i | ||||
\(418\) | −6.67996 | − | 3.28596i | −0.326728 | − | 0.160721i | ||||
\(419\) | −1.13673 | − | 3.87135i | −0.0555330 | − | 0.189128i | 0.927055 | − | 0.374925i | \(-0.122332\pi\) |
−0.982588 | + | 0.185797i | \(0.940513\pi\) | |||||||
\(420\) | −0.138246 | − | 0.355497i | −0.00674570 | − | 0.0173465i | ||||
\(421\) | 5.56610 | + | 6.42362i | 0.271275 | + | 0.313068i | 0.874998 | − | 0.484126i | \(-0.160862\pi\) |
−0.603723 | + | 0.797194i | \(0.706317\pi\) | |||||||
\(422\) | −25.5443 | + | 2.92582i | −1.24348 | + | 0.142426i | ||||
\(423\) | 2.76190 | − | 9.40618i | 0.134288 | − | 0.457344i | ||||
\(424\) | −2.10660 | − | 2.17021i | −0.102305 | − | 0.105395i | ||||
\(425\) | −20.4556 | + | 31.8295i | −0.992240 | + | 1.54396i | ||||
\(426\) | −0.260346 | − | 0.178095i | −0.0126138 | − | 0.00862875i | ||||
\(427\) | 6.13255 | − | 7.07734i | 0.296775 | − | 0.342496i | ||||
\(428\) | −9.60127 | + | 26.8758i | −0.464095 | + | 1.29909i | ||||
\(429\) | 0.0398148 | + | 0.276918i | 0.00192228 | + | 0.0133697i | ||||
\(430\) | −26.8388 | − | 32.8358i | −1.29428 | − | 1.58348i | ||||
\(431\) | 4.59971 | + | 10.0720i | 0.221560 | + | 0.485149i | 0.987472 | − | 0.157797i | \(-0.0504391\pi\) |
−0.765911 | + | 0.642946i | \(0.777712\pi\) | |||||||
\(432\) | −0.585925 | + | 0.100921i | −0.0281903 | + | 0.00485555i | ||||
\(433\) | −2.06643 | − | 0.943707i | −0.0993063 | − | 0.0453517i | 0.365143 | − | 0.930952i | \(-0.381020\pi\) |
−0.464449 | + | 0.885600i | \(0.653748\pi\) | |||||||
\(434\) | −3.06616 | + | 17.6968i | −0.147181 | + | 0.849475i | ||||
\(435\) | 0.149480 | + | 0.232595i | 0.00716700 | + | 0.0111521i | ||||
\(436\) | −1.16240 | − | 0.0669302i | −0.0556691 | − | 0.00320537i | ||||
\(437\) | 5.61878 | − | 3.94444i | 0.268782 | − | 0.188688i | ||||
\(438\) | 0.0112796 | − | 0.392121i | 0.000538962 | − | 0.0187363i | ||||
\(439\) | 8.02681 | + | 12.4900i | 0.383099 | + | 0.596113i | 0.978232 | − | 0.207514i | \(-0.0665371\pi\) |
−0.595133 | + | 0.803627i | \(0.702901\pi\) | |||||||
\(440\) | 8.78433 | − | 37.6742i | 0.418777 | − | 1.79605i | ||||
\(441\) | 3.38465 | − | 7.41134i | 0.161174 | − | 0.352921i | ||||
\(442\) | 4.72519 | + | 17.9909i | 0.224754 | + | 0.855742i | ||||
\(443\) | −1.21028 | − | 2.65014i | −0.0575020 | − | 0.125912i | 0.878700 | − | 0.477375i | \(-0.158412\pi\) |
−0.936202 | + | 0.351463i | \(0.885684\pi\) | |||||||
\(444\) | 0.251736 | + | 0.326725i | 0.0119469 | + | 0.0155057i | ||||
\(445\) | −16.5558 | + | 2.38037i | −0.784822 | + | 0.112840i | ||||
\(446\) | −8.39329 | − | 2.72898i | −0.397434 | − | 0.129221i | ||||
\(447\) | 0.238665 | − | 0.275435i | 0.0112885 | − | 0.0130276i | ||||
\(448\) | 12.1852 | + | 11.2102i | 0.575698 | + | 0.529632i | ||||
\(449\) | −30.6429 | − | 19.6930i | −1.44613 | − | 0.929371i | −0.999398 | − | 0.0347030i | \(-0.988951\pi\) |
−0.446732 | − | 0.894668i | \(-0.647412\pi\) | |||||||
\(450\) | −27.5993 | − | 25.3405i | −1.30104 | − | 1.19456i | ||||
\(451\) | −7.96515 | + | 27.1268i | −0.375064 | + | 1.27735i | ||||
\(452\) | 35.8777 | − | 3.06723i | 1.68754 | − | 0.144271i | ||||
\(453\) | −0.133593 | + | 0.115759i | −0.00627677 | + | 0.00543885i | ||||
\(454\) | 2.89569 | + | 6.85580i | 0.135901 | + | 0.321759i | ||||
\(455\) | −6.65942 | − | 22.6799i | −0.312198 | − | 1.06325i | ||||
\(456\) | −0.0493782 | + | 0.0873164i | −0.00231235 | + | 0.00408897i | ||||
\(457\) | −5.06624 | − | 0.728415i | −0.236989 | − | 0.0340738i | 0.0227971 | − | 0.999740i | \(-0.492743\pi\) |
−0.259786 | + | 0.965666i | \(0.583652\pi\) | |||||||
\(458\) | −6.81779 | − | 11.3111i | −0.318574 | − | 0.528533i | ||||
\(459\) | 0.636676i | 0.0297175i | ||||||||
\(460\) | 26.5683 | + | 23.8070i | 1.23875 | + | 1.11001i | ||||
\(461\) | 17.1103i | 0.796904i | 0.917189 | + | 0.398452i | \(0.130452\pi\) | ||||
−0.917189 | + | 0.398452i | \(0.869548\pi\) | |||||||
\(462\) | 0.228391 | − | 0.137663i | 0.0106257 | − | 0.00640467i | ||||
\(463\) | 15.8582 | + | 2.28006i | 0.736992 | + | 0.105963i | 0.500581 | − | 0.865690i | \(-0.333120\pi\) |
0.236411 | + | 0.971653i | \(0.424029\pi\) | |||||||
\(464\) | −10.2729 | − | 6.20587i | −0.476907 | − | 0.288100i | ||||
\(465\) | −0.159302 | − | 0.542532i | −0.00738745 | − | 0.0251593i | ||||
\(466\) | 1.79453 | − | 0.757957i | 0.0831301 | − | 0.0351117i | ||||
\(467\) | 15.0517 | − | 13.0424i | 0.696512 | − | 0.603531i | −0.232933 | − | 0.972493i | \(-0.574832\pi\) |
0.929444 | + | 0.368962i | \(0.120287\pi\) | |||||||
\(468\) | −18.3534 | + | 1.56906i | −0.848387 | + | 0.0725299i | ||||
\(469\) | −7.82742 | + | 26.6577i | −0.361436 | + | 1.23094i | ||||
\(470\) | 11.6270 | − | 12.6634i | 0.536312 | − | 0.584119i | ||||
\(471\) | 0.124970 | + | 0.0803130i | 0.00575829 | + | 0.00370063i | ||||
\(472\) | −0.311452 | + | 0.403402i | −0.0143357 | + | 0.0185681i | ||||
\(473\) | 19.4162 | − | 22.4075i | 0.892759 | − | 1.03030i | ||||
\(474\) | −0.144940 | + | 0.445778i | −0.00665730 | + | 0.0204753i | ||||
\(475\) | −12.5156 | + | 1.79948i | −0.574257 | + | 0.0825656i | ||||
\(476\) | 14.0451 | − | 10.8215i | 0.643756 | − | 0.496004i | ||||
\(477\) | −1.33236 | − | 2.91747i | −0.0610047 | − | 0.133582i | ||||
\(478\) | 9.50951 | − | 2.49760i | 0.434955 | − | 0.114238i | ||||
\(479\) | −3.67994 | + | 8.05795i | −0.168141 | + | 0.368177i | −0.974880 | − | 0.222731i | \(-0.928503\pi\) |
0.806739 | + | 0.590908i | \(0.201230\pi\) | |||||||
\(480\) | −0.500005 | − | 0.147352i | −0.0228220 | − | 0.00672567i | ||||
\(481\) | 13.8188 | + | 21.5024i | 0.630082 | + | 0.980426i | ||||
\(482\) | −8.44004 | − | 0.242784i | −0.384433 | − | 0.0110585i | ||||
\(483\) | 0.0100494 | + | 0.245713i | 0.000457261 | + | 0.0111803i | ||||
\(484\) | 5.03741 | + | 0.290049i | 0.228973 | + | 0.0131841i | ||||
\(485\) | −17.3027 | − | 26.9236i | −0.785676 | − | 1.22254i | ||||
\(486\) | −0.931883 | − | 0.161459i | −0.0422711 | − | 0.00732391i | ||||
\(487\) | −1.63901 | − | 0.748509i | −0.0742704 | − | 0.0339182i | 0.377933 | − | 0.925833i | \(-0.376635\pi\) |
−0.452204 | + | 0.891915i | \(0.649362\pi\) | |||||||
\(488\) | −2.53407 | − | 12.5444i | −0.114712 | − | 0.567857i | ||||
\(489\) | 0.191503 | + | 0.419332i | 0.00866005 | + | 0.0189629i | ||||
\(490\) | 11.0628 | − | 9.04234i | 0.499766 | − | 0.408491i | ||||
\(491\) | −3.80470 | − | 26.4623i | −0.171704 | − | 1.19423i | −0.875284 | − | 0.483610i | \(-0.839325\pi\) |
0.703580 | − | 0.710616i | \(-0.251584\pi\) | |||||||
\(492\) | 0.358751 | + | 0.128162i | 0.0161738 | + | 0.00577800i | ||||
\(493\) | −8.41639 | + | 9.71304i | −0.379055 | + | 0.437453i | ||||
\(494\) | −3.50977 | + | 5.13069i | −0.157912 | + | 0.230841i | ||||
\(495\) | 22.1787 | − | 34.5107i | 0.996858 | − | 1.55114i | ||||
\(496\) | 16.5823 | + | 18.0963i | 0.744567 | + | 0.812549i | ||||
\(497\) | −5.24938 | + | 17.8778i | −0.235467 | + | 0.801927i | ||||
\(498\) | 0.0478132 | + | 0.417441i | 0.00214256 | + | 0.0187060i | ||||
\(499\) | 3.01960 | + | 3.48481i | 0.135176 | + | 0.156002i | 0.819302 | − | 0.573363i | \(-0.194361\pi\) |
−0.684126 | + | 0.729364i | \(0.739816\pi\) | |||||||
\(500\) | −10.3342 | − | 26.5744i | −0.462161 | − | 1.18844i | ||||
\(501\) | 0.0365209 | + | 0.124379i | 0.00163163 | + | 0.00555683i | ||||
\(502\) | −3.93970 | + | 8.00894i | −0.175837 | + | 0.357457i | ||||
\(503\) | −3.03110 | + | 21.0818i | −0.135150 | + | 0.939989i | 0.803546 | + | 0.595243i | \(0.202944\pi\) |
−0.938696 | + | 0.344746i | \(0.887965\pi\) | |||||||
\(504\) | 8.18462 | + | 15.5339i | 0.364572 | + | 0.691936i | ||||
\(505\) | 48.7107i | 2.16760i | ||||||||
\(506\) | −13.2289 | + | 21.1435i | −0.588095 | + | 0.939945i | ||||
\(507\) | −0.0884700 | −0.00392909 | ||||||||
\(508\) | −8.90813 | − | 15.7888i | −0.395234 | − | 0.700516i | ||||
\(509\) | −8.75338 | − | 1.25855i | −0.387987 | − | 0.0557841i | −0.0544385 | − | 0.998517i | \(-0.517337\pi\) |
−0.333548 | + | 0.942733i | \(0.608246\pi\) | |||||||
\(510\) | −0.246387 | + | 0.500876i | −0.0109102 | + | 0.0221791i | ||||
\(511\) | −22.2334 | + | 6.52831i | −0.983548 | + | 0.288796i | ||||
\(512\) | 22.3028 | − | 3.81877i | 0.985656 | − | 0.168767i | ||||
\(513\) | −0.160801 | + | 0.139335i | −0.00709955 | + | 0.00615180i | ||||
\(514\) | 25.6044 | − | 2.93269i | 1.12936 | − | 0.129356i | ||||
\(515\) | 25.9415 | + | 7.61712i | 1.14312 | + | 0.335650i | ||||
\(516\) | −0.286396 | − | 0.278551i | −0.0126079 | − | 0.0122625i | ||||
\(517\) | 10.1111 | + | 6.49804i | 0.444688 | + | 0.285783i | ||||
\(518\) | 13.7559 | − | 20.1088i | 0.604398 | − | 0.883529i | ||||
\(519\) | 0.199444 | + | 0.172819i | 0.00875463 | + | 0.00758593i | ||||
\(520\) | −30.0949 | − | 11.7376i | −1.31975 | − | 0.514728i | ||||
\(521\) | 27.2656 | − | 3.92020i | 1.19453 | − | 0.171747i | 0.483777 | − | 0.875191i | \(-0.339264\pi\) |
0.710751 | + | 0.703444i | \(0.248355\pi\) | |||||||
\(522\) | −8.05459 | − | 9.85433i | −0.352540 | − | 0.431312i | ||||
\(523\) | −0.407535 | + | 0.186115i | −0.0178203 | + | 0.00813825i | −0.424305 | − | 0.905519i | \(-0.639482\pi\) |
0.406485 | + | 0.913657i | \(0.366754\pi\) | |||||||
\(524\) | −38.4075 | + | 8.91525i | −1.67784 | + | 0.389465i | ||||
\(525\) | 0.188158 | − | 0.412009i | 0.00821190 | − | 0.0179815i | ||||
\(526\) | 17.0204 | + | 2.94897i | 0.742125 | + | 0.128581i | ||||
\(527\) | 22.1113 | − | 14.2101i | 0.963185 | − | 0.619001i | ||||
\(528\) | 0.0418288 | − | 0.362025i | 0.00182036 | − | 0.0157551i | ||||
\(529\) | −11.2311 | − | 20.0714i | −0.488309 | − | 0.872671i | ||||
\(530\) | 0.161726 | − | 5.62216i | 0.00702491 | − | 0.244211i | ||||
\(531\) | −0.454653 | + | 0.292188i | −0.0197303 | + | 0.0126799i | ||||
\(532\) | 5.80687 | + | 1.17902i | 0.251760 | + | 0.0511169i | ||||
\(533\) | 21.4746 | + | 9.80710i | 0.930166 | + | 0.424793i | ||||
\(534\) | −0.152401 | + | 0.0400269i | −0.00659503 | + | 0.00173213i | ||||
\(535\) | −48.2770 | + | 22.0474i | −2.08720 | + | 0.953191i | ||||
\(536\) | 22.2991 | + | 30.7304i | 0.963174 | + | 1.32735i | ||||
\(537\) | −0.0322438 | − | 0.224260i | −0.00139142 | − | 0.00967755i | ||||
\(538\) | −5.03903 | − | 1.63838i | −0.217248 | − | 0.0706357i | ||||
\(539\) | 7.54938 | + | 6.54157i | 0.325175 | + | 0.281765i | ||||
\(540\) | −0.894238 | − | 0.650243i | −0.0384819 | − | 0.0279820i | ||||
\(541\) | −21.1654 | + | 32.9341i | −0.909973 | + | 1.41595i | −0.000583485 | 1.00000i | \(0.500186\pi\) | |
−0.909389 | + | 0.415946i | \(0.863451\pi\) | |||||||
\(542\) | −27.9852 | + | 30.4798i | −1.20207 | + | 1.30922i | ||||
\(543\) | −0.267221 | − | 0.0784633i | −0.0114676 | − | 0.00336718i | ||||
\(544\) | 0.0239704 | − | 24.2305i | 0.00102772 | − | 1.03888i | ||||
\(545\) | −1.41793 | − | 1.63638i | −0.0607375 | − | 0.0700948i | ||||
\(546\) | −0.0866414 | − | 0.205131i | −0.00370791 | − | 0.00877881i | ||||
\(547\) | 24.4002 | − | 7.16455i | 1.04328 | − | 0.306334i | 0.285179 | − | 0.958474i | \(-0.407947\pi\) |
0.758098 | + | 0.652140i | \(0.226129\pi\) | |||||||
\(548\) | −1.13373 | − | 0.598783i | −0.0484307 | − | 0.0255787i | ||||
\(549\) | 1.93140 | − | 13.4332i | 0.0824300 | − | 0.573313i | ||||
\(550\) | 39.3429 | − | 23.7140i | 1.67759 | − | 1.01117i | ||||
\(551\) | −4.29507 | −0.182976 | ||||||||
\(552\) | 0.274185 | + | 0.194338i | 0.0116701 | + | 0.00827155i | ||||
\(553\) | 27.6889 | 1.17745 | ||||||||
\(554\) | −18.1736 | + | 10.9542i | −0.772121 | + | 0.465398i | ||||
\(555\) | −0.109159 | + | 0.759215i | −0.00463353 | + | 0.0322269i | ||||
\(556\) | 6.38767 | − | 12.0944i | 0.270897 | − | 0.512916i | ||||
\(557\) | 4.61131 | − | 1.35400i | 0.195388 | − | 0.0573710i | −0.182575 | − | 0.983192i | \(-0.558443\pi\) |
0.377962 | + | 0.925821i | \(0.376625\pi\) | |||||||
\(558\) | 10.1273 | + | 23.9774i | 0.428724 | + | 1.01504i | ||||
\(559\) | −16.2131 | − | 18.7109i | −0.685741 | − | 0.791388i | ||||
\(560\) | 0.854909 | + | 30.7791i | 0.0361265 | + | 1.30065i | ||||
\(561\) | −0.374445 | − | 0.109947i | −0.0158091 | − | 0.00464196i | ||||
\(562\) | 18.6329 | − | 20.2938i | 0.785982 | − | 0.856043i | ||||
\(563\) | −7.85142 | + | 12.2170i | −0.330898 | + | 0.514887i | −0.966342 | − | 0.257259i | \(-0.917181\pi\) |
0.635445 | + | 0.772147i | \(0.280817\pi\) | |||||||
\(564\) | 0.0952462 | − | 0.130986i | 0.00401059 | − | 0.00551551i | ||||
\(565\) | 50.6073 | + | 43.8515i | 2.12907 | + | 1.84485i | ||||
\(566\) | 26.5051 | + | 8.61781i | 1.11409 | + | 0.362234i | ||||
\(567\) | 2.64929 | + | 18.4262i | 0.111260 | + | 0.773827i | ||||
\(568\) | 14.9547 | + | 20.6091i | 0.627484 | + | 0.864737i | ||||
\(569\) | 22.9400 | − | 10.4763i | 0.961695 | − | 0.439191i | 0.128218 | − | 0.991746i | \(-0.459074\pi\) |
0.833477 | + | 0.552555i | \(0.186347\pi\) | |||||||
\(570\) | −0.180424 | + | 0.0473871i | −0.00755715 | + | 0.00198483i | ||||
\(571\) | −15.3570 | − | 7.01330i | −0.642670 | − | 0.293498i | 0.0672965 | − | 0.997733i | \(-0.478563\pi\) |
−0.709966 | + | 0.704235i | \(0.751290\pi\) | |||||||
\(572\) | 4.49372 | − | 22.1324i | 0.187892 | − | 0.925402i | ||||
\(573\) | −0.202059 | + | 0.129856i | −0.00844114 | + | 0.00542479i | ||||
\(574\) | 0.647047 | − | 22.4937i | 0.0270072 | − | 0.938868i | ||||
\(575\) | 1.73112 | + | 42.3268i | 0.0721925 | + | 1.76515i | ||||
\(576\) | 23.6388 | + | 4.11976i | 0.984949 | + | 0.171657i | ||||
\(577\) | −38.7065 | + | 24.8752i | −1.61137 | + | 1.03557i | −0.650145 | + | 0.759810i | \(0.725292\pi\) |
−0.961228 | + | 0.275756i | \(0.911072\pi\) | |||||||
\(578\) | −1.87762 | − | 0.325318i | −0.0780988 | − | 0.0135314i | ||||
\(579\) | 0.185036 | − | 0.405171i | 0.00768982 | − | 0.0168383i | ||||
\(580\) | −5.04663 | − | 21.7412i | −0.209550 | − | 0.902754i | ||||
\(581\) | 22.5764 | − | 10.3103i | 0.936628 | − | 0.427744i | ||||
\(582\) | −0.190806 | − | 0.233440i | −0.00790915 | − | 0.00967639i | ||||
\(583\) | 3.89224 | − | 0.559619i | 0.161200 | − | 0.0231771i | ||||
\(584\) | −11.5065 | + | 29.5025i | −0.476143 | + | 1.22082i | ||||
\(585\) | −25.8885 | − | 22.4325i | −1.07036 | − | 0.927470i | ||||
\(586\) | 3.12930 | − | 4.57451i | 0.129270 | − | 0.188971i | ||||
\(587\) | 32.1758 | + | 20.6781i | 1.32804 | + | 0.853477i | 0.995962 | − | 0.0897759i | \(-0.0286151\pi\) |
0.332075 | + | 0.943253i | \(0.392251\pi\) | |||||||
\(588\) | 0.0938475 | − | 0.0964904i | 0.00387021 | − | 0.00397920i | ||||
\(589\) | 8.42798 | + | 2.47468i | 0.347269 | + | 0.101967i | ||||
\(590\) | −0.941598 | + | 0.107850i | −0.0387650 | + | 0.00444010i | ||||
\(591\) | 0.0957042 | − | 0.0829282i | 0.00393674 | − | 0.00341121i | ||||
\(592\) | −10.2638 | − | 31.6739i | −0.421839 | − | 1.30179i | ||||
\(593\) | −33.3678 | + | 9.79766i | −1.37025 | + | 0.402342i | −0.882365 | − | 0.470566i | \(-0.844050\pi\) |
−0.487885 | + | 0.872908i | \(0.662231\pi\) | |||||||
\(594\) | 0.341201 | − | 0.693622i | 0.0139997 | − | 0.0284597i | ||||
\(595\) | 32.6368 | + | 4.69247i | 1.33798 | + | 0.192372i | ||||
\(596\) | −25.6233 | + | 14.4568i | −1.04957 | + | 0.592173i | ||||
\(597\) | 0.633689 | 0.0259352 | ||||||||
\(598\) | 15.9037 | + | 13.4467i | 0.650350 | + | 0.549876i | ||||
\(599\) | − | 30.9121i | − | 1.26303i | −0.775362 | − | 0.631517i | \(-0.782432\pi\) | ||
0.775362 | − | 0.631517i | \(-0.217568\pi\) | |||||||
\(600\) | −0.288537 | − | 0.547626i | −0.0117795 | − | 0.0223567i | ||||
\(601\) | 1.95405 | − | 13.5907i | 0.0797075 | − | 0.554378i | −0.910363 | − | 0.413810i | \(-0.864198\pi\) |
0.990071 | − | 0.140568i | \(-0.0448930\pi\) | |||||||
\(602\) | −10.4167 | + | 21.1759i | −0.424553 | + | 0.863066i | ||||
\(603\) | 11.3435 | + | 38.6325i | 0.461944 | + | 1.57324i | ||||
\(604\) | 13.2994 | − | 5.17188i | 0.541146 | − | 0.210441i | ||||
\(605\) | 6.14476 | + | 7.09143i | 0.249820 | + | 0.288308i | ||||
\(606\) | 0.0522186 | + | 0.455903i | 0.00212124 | + | 0.0185198i | ||||
\(607\) | −10.4010 | + | 35.4227i | −0.422165 | + | 1.43776i | 0.424399 | + | 0.905475i | \(0.360485\pi\) |
−0.846564 | + | 0.532287i | \(0.821333\pi\) | |||||||
\(608\) | 6.12500 | − | 5.29675i | 0.248402 | − | 0.214811i | ||||
\(609\) | 0.0831811 | − | 0.129432i | 0.00337067 | − | 0.00524486i | ||||
\(610\) | 13.4372 | − | 19.6430i | 0.544058 | − | 0.795322i | ||||
\(611\) | 6.57240 | − | 7.58495i | 0.265891 | − | 0.306854i | ||||
\(612\) | 8.64440 | − | 24.1974i | 0.349429 | − | 0.978121i | ||||
\(613\) | −3.87135 | − | 26.9259i | −0.156363 | − | 1.08753i | −0.905266 | − | 0.424846i | \(-0.860328\pi\) |
0.748903 | − | 0.662679i | \(-0.230581\pi\) | |||||||
\(614\) | −21.2721 | + | 17.3871i | −0.858474 | + | 0.701687i | ||||
\(615\) | 0.294299 | + | 0.644424i | 0.0118673 | + | 0.0259857i | ||||
\(616\) | −21.1007 | + | 4.26252i | −0.850172 | + | 0.171742i | ||||
\(617\) | 9.33589 | + | 4.26356i | 0.375849 | + | 0.171644i | 0.594378 | − | 0.804186i | \(-0.297399\pi\) |
−0.218529 | + | 0.975830i | \(0.570126\pi\) | |||||||
\(618\) | 0.250963 | + | 0.0434820i | 0.0100952 | + | 0.00174910i | ||||
\(619\) | −13.6857 | − | 21.2954i | −0.550075 | − | 0.855933i | 0.449223 | − | 0.893420i | \(-0.351701\pi\) |
−0.999297 | + | 0.0374872i | \(0.988065\pi\) | |||||||
\(620\) | −2.62383 | + | 45.5692i | −0.105376 | + | 1.83010i | ||||
\(621\) | 0.409576 | + | 0.583432i | 0.0164357 | + | 0.0234123i | ||||
\(622\) | −17.0119 | − | 0.489359i | −0.682114 | − | 0.0196215i | ||||
\(623\) | 5.03206 | + | 7.83003i | 0.201605 | + | 0.313704i | ||||
\(624\) | −0.294253 | − | 0.0775947i | −0.0117796 | − | 0.00310627i | ||||
\(625\) | 3.67996 | − | 8.05798i | 0.147198 | − | 0.322319i | ||||
\(626\) | −19.8468 | + | 5.21261i | −0.793237 | + | 0.208338i | ||||
\(627\) | −0.0541779 | − | 0.118633i | −0.00216366 | − | 0.00473774i | ||||
\(628\) | −7.31900 | − | 9.49921i | −0.292060 | − | 0.379060i | ||||
\(629\) | −35.2914 | + | 5.07414i | −1.40716 | + | 0.202319i | ||||
\(630\) | −10.0962 | + | 31.0519i | −0.402242 | + | 1.23714i | ||||
\(631\) | 21.2063 | − | 24.4734i | 0.844209 | − | 0.974269i | −0.155700 | − | 0.987804i | \(-0.549763\pi\) |
0.999908 | + | 0.0135355i | \(0.00430862\pi\) | |||||||
\(632\) | 23.1245 | − | 29.9516i | 0.919843 | − | 1.19141i | ||||
\(633\) | −0.378931 | − | 0.243524i | −0.0150611 | − | 0.00967921i | ||||
\(634\) | 32.0306 | − | 34.8858i | 1.27210 | − | 1.38549i | ||||
\(635\) | 9.49792 | − | 32.3470i | 0.376914 | − | 1.28365i | ||||
\(636\) | −0.00451339 | − | 0.0527935i | −0.000178968 | − | 0.00209340i | ||||
\(637\) | 6.30395 | − | 5.46240i | 0.249772 | − | 0.216428i | ||||
\(638\) | 14.3745 | − | 6.07136i | 0.569092 | − | 0.240368i | ||||
\(639\) | 7.60743 | + | 25.9085i | 0.300945 | + | 1.02493i | ||||
\(640\) | 34.0083 | + | 24.7805i | 1.34430 | + | 0.979536i | ||||
\(641\) | −34.3261 | − | 4.93534i | −1.35580 | − | 0.194934i | −0.574199 | − | 0.818716i | \(-0.694686\pi\) |
−0.781599 | + | 0.623782i | \(0.785595\pi\) | |||||||
\(642\) | −0.428209 | + | 0.258104i | −0.0169000 | + | 0.0101865i | ||||
\(643\) | − | 9.44763i | − | 0.372578i | −0.982495 | − | 0.186289i | \(-0.940354\pi\) | ||
0.982495 | − | 0.186289i | \(-0.0596461\pi\) | |||||||
\(644\) | 5.90901 | − | 18.9518i | 0.232848 | − | 0.746807i | ||||
\(645\) | − | 0.742959i | − | 0.0292540i | ||||||
\(646\) | −4.47637 | − | 7.42655i | −0.176120 | − | 0.292194i | ||||
\(647\) | −19.0910 | − | 2.74488i | −0.750546 | − | 0.107912i | −0.243583 | − | 0.969880i | \(-0.578323\pi\) |
−0.506963 | + | 0.861968i | \(0.669232\pi\) | |||||||
\(648\) | 22.1445 | + | 12.5229i | 0.869920 | + | 0.491948i | ||||
\(649\) | −0.186678 | − | 0.635766i | −0.00732774 | − | 0.0249560i | ||||
\(650\) | −14.9250 | − | 35.3362i | −0.585405 | − | 1.38600i | ||||
\(651\) | −0.237796 | + | 0.206051i | −0.00931996 | + | 0.00807579i | ||||
\(652\) | −3.16986 | − | 37.0781i | −0.124141 | − | 1.45209i | ||||
\(653\) | 4.39869 | − | 14.9806i | 0.172134 | − | 0.586235i | −0.827557 | − | 0.561382i | \(-0.810270\pi\) |
0.999691 | − | 0.0248533i | \(-0.00791186\pi\) | |||||||
\(654\) | −0.0150252 | − | 0.0137955i | −0.000587532 | − | 0.000539446i | ||||
\(655\) | −61.6834 | − | 39.6415i | −2.41017 | − | 1.54892i | ||||
\(656\) | −23.7915 | − | 19.4856i | −0.928901 | − | 0.760786i | ||||
\(657\) | −21.9909 | + | 25.3788i | −0.857946 | + | 0.990122i | ||||
\(658\) | −9.09778 | − | 2.95804i | −0.354668 | − | 0.115316i | ||||
\(659\) | −32.7585 | + | 4.70996i | −1.27609 | + | 0.183474i | −0.746846 | − | 0.664996i | \(-0.768433\pi\) |
−0.529243 | + | 0.848470i | \(0.677524\pi\) | |||||||
\(660\) | 0.536849 | − | 0.413634i | 0.0208968 | − | 0.0161007i | ||||
\(661\) | −13.9543 | − | 30.5557i | −0.542761 | − | 1.18848i | −0.960081 | − | 0.279721i | \(-0.909758\pi\) |
0.417320 | − | 0.908759i | \(-0.362969\pi\) | |||||||
\(662\) | −3.08618 | − | 11.7505i | −0.119948 | − | 0.456697i | ||||
\(663\) | −0.135372 | + | 0.296424i | −0.00525742 | + | 0.0115122i | ||||
\(664\) | 7.70195 | − | 33.0321i | 0.298894 | − | 1.28189i | ||||
\(665\) | 5.95735 | + | 9.26982i | 0.231016 | + | 0.359468i | ||||
\(666\) | 1.01524 | − | 35.2933i | 0.0393396 | − | 1.36759i | ||||
\(667\) | −1.46412 | + | 14.3151i | −0.0566908 | + | 0.554282i | ||||
\(668\) | 0.601529 | − | 10.4470i | 0.0232739 | − | 0.404207i | ||||
\(669\) | −0.0835933 | − | 0.130074i | −0.00323190 | − | 0.00502894i | ||||
\(670\) | −12.0540 | + | 69.5714i | −0.465686 | + | 2.68778i | ||||
\(671\) | 15.1352 | + | 6.91203i | 0.584289 | + | 0.266836i | ||||
\(672\) | 0.0409971 | + | 0.287157i | 0.00158150 | + | 0.0110773i | ||||
\(673\) | 1.51470 | + | 3.31673i | 0.0583874 | + | 0.127851i | 0.936577 | − | 0.350463i | \(-0.113976\pi\) |
−0.878189 | + | 0.478313i | \(0.841248\pi\) | |||||||
\(674\) | −9.75365 | − | 11.9330i | −0.375697 | − | 0.459643i | ||||
\(675\) | −0.186851 | − | 1.29958i | −0.00719189 | − | 0.0500207i | ||||
\(676\) | 6.72544 | + | 2.40263i | 0.258671 | + | 0.0924089i | ||||
\(677\) | −25.6741 | + | 29.6295i | −0.986736 | + | 1.13875i | 0.00358966 | + | 0.999994i | \(0.498857\pi\) |
−0.990326 | + | 0.138761i | \(0.955688\pi\) | |||||||
\(678\) | 0.520664 | + | 0.356172i | 0.0199960 | + | 0.0136787i | ||||
\(679\) | −9.62847 | + | 14.9822i | −0.369507 | + | 0.574964i | ||||
\(680\) | 32.3327 | − | 31.3850i | 1.23990 | − | 1.20356i | ||||
\(681\) | −0.0367324 | + | 0.125099i | −0.00140759 | + | 0.00479381i | ||||
\(682\) | −31.7044 | + | 3.63138i | −1.21402 | + | 0.139053i | ||||
\(683\) | −6.51891 | − | 7.52323i | −0.249439 | − | 0.287868i | 0.617197 | − | 0.786809i | \(-0.288268\pi\) |
−0.866636 | + | 0.498940i | \(0.833723\pi\) | |||||||
\(684\) | 8.00319 | − | 3.11228i | 0.306010 | − | 0.119001i | ||||
\(685\) | −0.671744 | − | 2.28775i | −0.0256660 | − | 0.0874104i | ||||
\(686\) | −25.5192 | − | 12.5532i | −0.974329 | − | 0.479285i | ||||
\(687\) | 0.0329276 | − | 0.229017i | 0.00125627 | − | 0.00873753i | ||||
\(688\) | 14.2068 | + | 28.9531i | 0.541631 | + | 1.10383i | ||||
\(689\) | − | 3.28355i | − | 0.125093i | ||||||
\(690\) | 0.0964330 | + | 0.617491i | 0.00367114 | + | 0.0235075i | ||||
\(691\) | −26.4116 | −1.00474 | −0.502371 | − | 0.864652i | \(-0.667539\pi\) | ||||
−0.502371 | + | 0.864652i | \(0.667539\pi\) | |||||||
\(692\) | −10.4683 | − | 18.5540i | −0.397944 | − | 0.705319i | ||||
\(693\) | −22.5957 | − | 3.24878i | −0.858341 | − | 0.123411i | ||||
\(694\) | −23.0444 | − | 11.3359i | −0.874755 | − | 0.430303i | ||||
\(695\) | 24.4051 | − | 7.16599i | 0.925740 | − | 0.271822i | ||||
\(696\) | −0.0705404 | − | 0.198075i | −0.00267383 | − | 0.00750800i | ||||
\(697\) | −24.8879 | + | 21.5655i | −0.942696 | + | 0.816851i | ||||
\(698\) | 3.39005 | + | 29.5974i | 0.128315 | + | 1.12028i | ||||
\(699\) | 0.0327452 | + | 0.00961485i | 0.00123854 | + | 0.000363667i | ||||
\(700\) | −25.4928 | + | 26.2107i | −0.963538 | + | 0.990673i | ||||
\(701\) | −12.5889 | − | 8.09036i | −0.475474 | − | 0.305569i | 0.280866 | − | 0.959747i | \(-0.409378\pi\) |
−0.756340 | + | 0.654178i | \(0.773015\pi\) | |||||||
\(702\) | −0.532752 | − | 0.364441i | −0.0201074 | − | 0.0137549i | ||||
\(703\) | −9.00500 | − | 7.80288i | −0.339630 | − | 0.294291i | ||||
\(704\) | −13.0115 | + | 26.3849i | −0.490390 | + | 0.994419i | ||||
\(705\) | 0.298112 | − | 0.0428620i | 0.0112275 | − | 0.00161428i | ||||
\(706\) | −23.9019 | + | 19.5366i | −0.899558 | + | 0.735268i | ||||
\(707\) | 24.6566 | − | 11.2603i | 0.927306 | − | 0.423486i | ||||
\(708\) | −0.00869718 | + | 0.00201882i | −0.000326860 | + | 7.58717e-5i | ||||
\(709\) | −4.30878 | + | 9.43491i | −0.161820 | + | 0.354336i | −0.973122 | − | 0.230292i | \(-0.926032\pi\) |
0.811302 | + | 0.584627i | \(0.198759\pi\) | |||||||
\(710\) | −8.08390 | + | 46.6574i | −0.303383 | + | 1.75102i | ||||
\(711\) | 33.7568 | − | 21.6942i | 1.26598 | − | 0.813595i | ||||
\(712\) | 12.6725 | + | 1.09602i | 0.474920 | + | 0.0410749i | ||||
\(713\) | 11.1208 | − | 27.2461i | 0.416478 | − | 1.02037i | ||||
\(714\) | 0.310492 | + | 0.00893151i | 0.0116199 | + | 0.000334253i | ||||
\(715\) | 35.3311 | − | 22.7059i | 1.32131 | − | 0.849154i | ||||
\(716\) | −3.63922 | + | 17.9238i | −0.136004 | + | 0.669844i | ||||
\(717\) | 0.156681 | + | 0.0715540i | 0.00585137 | + | 0.00267223i | ||||
\(718\) | −5.43175 | − | 20.6812i | −0.202711 | − | 0.771814i | ||||
\(719\) | 27.9338 | − | 12.7570i | 1.04176 | − | 0.475754i | 0.180314 | − | 0.983609i | \(-0.442289\pi\) |
0.861443 | + | 0.507855i | \(0.169561\pi\) | |||||||
\(720\) | 25.1576 | + | 36.8544i | 0.937570 | + | 1.37348i | ||||
\(721\) | −2.14115 | − | 14.8920i | −0.0797405 | − | 0.554607i | ||||
\(722\) | −7.41233 | + | 22.7974i | −0.275858 | + | 0.848433i | ||||
\(723\) | −0.111792 | − | 0.0968683i | −0.00415759 | − | 0.00360257i | ||||
\(724\) | 18.1831 | + | 13.2218i | 0.675770 | + | 0.491385i | ||||
\(725\) | 14.3289 | − | 22.2962i | 0.532162 | − | 0.828060i | ||||
\(726\) | 0.0651134 | + | 0.0597843i | 0.00241659 | + | 0.00221880i | ||||
\(727\) | 32.0565 | + | 9.41265i | 1.18891 | + | 0.349096i | 0.815603 | − | 0.578612i | \(-0.196405\pi\) |
0.373308 | + | 0.927708i | \(0.378224\pi\) | |||||||
\(728\) | 1.01555 | + | 17.9469i | 0.0376390 | + | 0.665157i | ||||
\(729\) | 17.6595 | + | 20.3802i | 0.654057 | + | 0.754822i | ||||
\(730\) | −54.2489 | + | 22.9131i | −2.00784 | + | 0.848052i | ||||
\(731\) | 33.1368 | − | 9.72985i | 1.22561 | − | 0.359871i | ||||
\(732\) | 0.104707 | − | 0.198252i | 0.00387008 | − | 0.00732759i | ||||
\(733\) | −3.33190 | + | 23.1739i | −0.123067 | + | 0.855947i | 0.830983 | + | 0.556298i | \(0.187779\pi\) |
−0.954050 | + | 0.299649i | \(0.903130\pi\) | |||||||
\(734\) | −22.7562 | − | 37.7538i | −0.839947 | − | 1.39352i | ||||
\(735\) | 0.250312 | 0.00923291 | ||||||||
\(736\) | −15.5656 | − | 22.2196i | −0.573757 | − | 0.819026i | ||||
\(737\) | −49.3643 | −1.81836 | ||||||||
\(738\) | −16.8349 | − | 27.9301i | −0.619702 | − | 1.02812i | ||||
\(739\) | −0.698412 | + | 4.85756i | −0.0256915 | + | 0.178688i | −0.998627 | − | 0.0523898i | \(-0.983316\pi\) |
0.972935 | + | 0.231078i | \(0.0742253\pi\) | |||||||
\(740\) | 28.9166 | − | 54.7506i | 1.06300 | − | 2.01267i | ||||
\(741\) | −0.104492 | + | 0.0306816i | −0.00383861 | + | 0.00112712i | ||||
\(742\) | −2.88323 | + | 1.21779i | −0.105847 | + | 0.0447066i | ||||
\(743\) | 29.6022 | + | 34.1627i | 1.08600 | + | 1.25331i | 0.965447 | + | 0.260601i | \(0.0839208\pi\) |
0.120551 | + | 0.992707i | \(0.461534\pi\) | |||||||
\(744\) | 0.0242934 | + | 0.429313i | 0.000890639 | + | 0.0157394i | ||||
\(745\) | −52.4951 | − | 15.4140i | −1.92327 | − | 0.564724i | ||||
\(746\) | −9.88753 | − | 9.07830i | −0.362008 | − | 0.332380i | ||||
\(747\) | 19.4459 | − | 30.2584i | 0.711488 | − | 1.10710i | ||||
\(748\) | 25.4792 | + | 18.5271i | 0.931611 | + | 0.677418i | ||||
\(749\) | 22.3200 | + | 19.3404i | 0.815557 | + | 0.706684i | ||||
\(750\) | 0.154454 | − | 0.475040i | 0.00563986 | − | 0.0173460i | ||||
\(751\) | −5.66092 | − | 39.3726i | −0.206570 | − | 1.43673i | −0.784241 | − | 0.620456i | \(-0.786947\pi\) |
0.577671 | − | 0.816270i | \(-0.303962\pi\) | |||||||
\(752\) | −10.7978 | + | 7.37082i | −0.393756 | + | 0.268786i | ||||
\(753\) | −0.142235 | + | 0.0649565i | −0.00518333 | + | 0.00236715i | ||||
\(754\) | −3.30994 | − | 12.6025i | −0.120541 | − | 0.458954i | ||||
\(755\) | 24.1385 | + | 11.0237i | 0.878489 | + | 0.401192i | ||||
\(756\) | −0.122425 | + | 0.602964i | −0.00445254 | + | 0.0219296i | ||||
\(757\) | −19.3523 | + | 12.4370i | −0.703371 | + | 0.452029i | −0.842817 | − | 0.538200i | \(-0.819104\pi\) |
0.139446 | + | 0.990230i | \(0.455468\pi\) | |||||||
\(758\) | 18.0903 | + | 0.520379i | 0.657068 | + | 0.0189010i | ||||
\(759\) | −0.413860 | + | 0.140130i | −0.0150222 | + | 0.00508638i | ||||
\(760\) | 15.0027 | + | 1.29755i | 0.544204 | + | 0.0470671i | ||||
\(761\) | −8.95963 | + | 5.75801i | −0.324786 | + | 0.208728i | −0.692865 | − | 0.721067i | \(-0.743652\pi\) |
0.368079 | + | 0.929795i | \(0.380016\pi\) | |||||||
\(762\) | 0.0542185 | − | 0.312930i | 0.00196413 | − | 0.0113363i | ||||
\(763\) | −0.500531 | + | 1.09601i | −0.0181204 | + | 0.0396782i | ||||
\(764\) | 18.8870 | − | 4.38410i | 0.683307 | − | 0.158611i | ||||
\(765\) | 43.4657 | − | 19.8501i | 1.57150 | − | 0.717682i | ||||
\(766\) | −11.4728 | + | 9.37748i | −0.414529 | + | 0.338822i | ||||
\(767\) | −0.547663 | + | 0.0787421i | −0.0197750 | + | 0.00284321i | ||||
\(768\) | 0.344863 | + | 0.195473i | 0.0124442 | + | 0.00705354i | ||||
\(769\) | 9.09525 | + | 7.88108i | 0.327983 | + | 0.284199i | 0.803249 | − | 0.595643i | \(-0.203103\pi\) |
−0.475266 | + | 0.879842i | \(0.657648\pi\) | |||||||
\(770\) | −33.0412 | − | 22.6026i | −1.19072 | − | 0.814541i | ||||
\(771\) | 0.379822 | + | 0.244097i | 0.0136789 | + | 0.00879092i | ||||
\(772\) | −25.0698 | + | 25.7757i | −0.902280 | + | 0.927690i | ||||
\(773\) | −23.5083 | − | 6.90267i | −0.845537 | − | 0.248272i | −0.169858 | − | 0.985469i | \(-0.554331\pi\) |
−0.675678 | + | 0.737197i | \(0.736149\pi\) | |||||||
\(774\) | 3.89181 | + | 33.9780i | 0.139888 | + | 1.22132i | ||||
\(775\) | −40.9631 | + | 35.4947i | −1.47144 | + | 1.27501i | ||||
\(776\) | 8.16527 | + | 22.9278i | 0.293116 | + | 0.823059i | ||||
\(777\) | 0.409537 | − | 0.120251i | 0.0146920 | − | 0.00431397i | ||||
\(778\) | 9.30077 | + | 4.57517i | 0.333449 | + | 0.164028i | ||||
\(779\) | −10.8933 | − | 1.56622i | −0.390294 | − | 0.0561158i | ||||
\(780\) | −0.278083 | − | 0.492877i | −0.00995697 | − | 0.0176478i | ||||
\(781\) | −33.1057 | −1.18462 | ||||||||
\(782\) | −26.2779 | + | 12.3877i | −0.939695 | + | 0.442984i | ||||
\(783\) | − | 0.445984i | − | 0.0159382i | ||||||
\(784\) | −9.75467 | + | 4.78647i | −0.348381 | + | 0.170945i | ||||
\(785\) | 3.17369 | − | 22.0735i | 0.113274 | − | 0.787836i | ||||
\(786\) | −0.619816 | − | 0.304895i | −0.0221081 | − | 0.0108753i | ||||
\(787\) | 4.27073 | + | 14.5448i | 0.152235 | + | 0.518465i | 0.999928 | − | 0.0120225i | \(-0.00382698\pi\) |
−0.847693 | + | 0.530488i | \(0.822009\pi\) | |||||||
\(788\) | −9.52750 | + | 3.70505i | −0.339403 | + | 0.131987i | ||||
\(789\) | 0.198176 | + | 0.228707i | 0.00705524 | + | 0.00814218i | ||||
\(790\) | 69.9112 | − | 8.00755i | 2.48733 | − | 0.284896i | ||||
\(791\) | 10.4982 | − | 35.7536i | 0.373274 | − | 1.27125i | ||||
\(792\) | −22.3852 | + | 21.7290i | −0.795424 | + | 0.772108i | ||||
\(793\) | 7.51163 | − | 11.6883i | 0.266746 | − | 0.415064i | ||||
\(794\) | 6.66888 | + | 4.56200i | 0.236670 | + | 0.161899i | ||||
\(795\) | 0.0645269 | − | 0.0744680i | 0.00228853 | − | 0.00264111i | ||||
\(796\) | −48.1726 | − | 17.2094i | −1.70743 | − | 0.609973i | ||||
\(797\) | −7.85734 | − | 54.6490i | −0.278321 | − | 1.93577i | −0.346401 | − | 0.938087i | \(-0.612596\pi\) |
0.0680795 | − | 0.997680i | \(-0.478313\pi\) | |||||||
\(798\) | 0.0656947 | + | 0.0803736i | 0.00232557 | + | 0.00284520i | ||||
\(799\) | 5.81579 | + | 12.7348i | 0.205748 | + | 0.450525i | ||||
\(800\) | 7.06222 | + | 49.4661i | 0.249687 | + | 1.74889i | ||||
\(801\) | 12.2696 | + | 5.60336i | 0.433527 | + | 0.197985i | ||||
\(802\) | −1.63652 | + | 9.44542i | −0.0577875 | + | 0.333529i | ||||
\(803\) | −22.2589 | − | 34.6356i | −0.785501 | − | 1.22226i | ||||
\(804\) | −0.0382365 | + | 0.664069i | −0.00134850 | + | 0.0234199i | ||||
\(805\) | 32.9262 | − | 16.6954i | 1.16050 | − | 0.588434i | ||||
\(806\) | −0.766208 | + | 26.6362i | −0.0269885 | + | 0.938219i | ||||
\(807\) | −0.0501864 | − | 0.0780916i | −0.00176665 | − | 0.00274896i | ||||
\(808\) | 8.41159 | − | 36.0756i | 0.295919 | − | 1.26913i | ||||
\(809\) | 18.9590 | − | 41.5145i | 0.666564 | − | 1.45957i | −0.209713 | − | 0.977763i | \(-0.567253\pi\) |
0.876277 | − | 0.481808i | \(-0.160020\pi\) | |||||||
\(810\) | 12.0180 | + | 45.7579i | 0.422268 | + | 1.60777i | ||||
\(811\) | 13.8622 | + | 30.3541i | 0.486769 | + | 1.06588i | 0.980546 | + | 0.196288i | \(0.0628887\pi\) |
−0.493777 | + | 0.869589i | \(0.664384\pi\) | |||||||
\(812\) | −9.83844 | + | 7.58036i | −0.345261 | + | 0.266019i | ||||
\(813\) | −0.717531 | + | 0.103165i | −0.0251649 | + | 0.00361817i | ||||
\(814\) | 41.1673 | + | 13.3851i | 1.44291 | + | 0.469146i | ||||
\(815\) | 45.3188 | − | 52.3006i | 1.58745 | − | 1.83201i | ||||
\(816\) | 0.268970 | − | 0.328406i | 0.00941583 | − | 0.0114965i | ||||
\(817\) | 9.70934 | + | 6.23981i | 0.339687 | + | 0.218303i | ||||
\(818\) | −18.7642 | − | 17.2284i | −0.656073 | − | 0.602378i | ||||
\(819\) | −5.37042 | + | 18.2900i | −0.187658 | + | 0.639104i | ||||
\(820\) | −4.87140 | − | 56.9811i | −0.170117 | − | 1.98987i | ||||
\(821\) | 29.4360 | − | 25.5065i | 1.02732 | − | 0.890182i | 0.0333119 | − | 0.999445i | \(-0.489395\pi\) |
0.994013 | + | 0.109263i | \(0.0348491\pi\) | |||||||
\(822\) | −0.00873963 | − | 0.0206919i | −0.000304829 | − | 0.000721711i | ||||
\(823\) | −10.3921 | − | 35.3923i | −0.362246 | − | 1.23370i | −0.916055 | − | 0.401053i | \(-0.868644\pi\) |
0.553809 | − | 0.832644i | \(-0.313174\pi\) | |||||||
\(824\) | −17.8972 | − | 10.1210i | −0.623477 | − | 0.352582i | ||||
\(825\) | 0.796580 | + | 0.114531i | 0.0277334 | + | 0.00398746i | ||||
\(826\) | 0.272258 | + | 0.451691i | 0.00947306 | + | 0.0157163i | ||||
\(827\) | − | 34.9852i | − | 1.21655i | −0.793725 | − | 0.608277i | \(-0.791861\pi\) | ||
0.793725 | − | 0.608277i | \(-0.208139\pi\) | |||||||
\(828\) | −7.64478 | − | 27.7348i | −0.265674 | − | 0.963851i | ||||
\(829\) | − | 8.72710i | − | 0.303105i | −0.988449 | − | 0.151552i | \(-0.951573\pi\) | ||
0.988449 | − | 0.151552i | \(-0.0484272\pi\) | |||||||
\(830\) | 54.0212 | − | 32.5614i | 1.87510 | − | 1.13022i | ||||
\(831\) | −0.367962 | − | 0.0529049i | −0.0127645 | − | 0.00183525i | ||||
\(832\) | 20.2617 | + | 13.8899i | 0.702447 | + | 0.481546i | ||||
\(833\) | 3.27811 | + | 11.1642i | 0.113580 | + | 0.386817i | ||||
\(834\) | 0.220735 | − | 0.0932321i | 0.00764344 | − | 0.00322836i | ||||
\(835\) | 14.7068 | − | 12.7435i | 0.508951 | − | 0.441008i | ||||
\(836\) | 0.896783 | + | 10.4897i | 0.0310159 | + | 0.362795i | ||||
\(837\) | −0.256961 | + | 0.875130i | −0.00888188 | + | 0.0302489i | ||||
\(838\) | −3.85912 | + | 4.20312i | −0.133311 | + | 0.145194i | ||||
\(839\) | −33.8567 | − | 21.7584i | −1.16886 | − | 0.751183i | −0.195557 | − | 0.980692i | \(-0.562652\pi\) |
−0.973307 | + | 0.229509i | \(0.926288\pi\) | |||||||
\(840\) | −0.329653 | + | 0.426977i | −0.0113741 | + | 0.0147321i | ||||
\(841\) | −13.0954 | + | 15.1129i | −0.451565 | + | 0.521133i | ||||
\(842\) | 3.71675 | − | 11.4313i | 0.128088 | − | 0.393948i | ||||
\(843\) | 0.477742 | − | 0.0686889i | 0.0164543 | − | 0.00236577i | ||||
\(844\) | 22.1926 | + | 28.8034i | 0.763899 | + | 0.991453i | ||||
\(845\) | 5.51715 | + | 12.0809i | 0.189796 | + | 0.415595i | ||||
\(846\) | −13.4092 | + | 3.52181i | −0.461016 | + | 0.121082i | ||||
\(847\) | 2.16911 | − | 4.74968i | 0.0745314 | − | 0.163201i | ||||
\(848\) | −1.09064 | + | 4.13590i | −0.0374526 | + | 0.142027i | ||||
\(849\) | 0.263978 | + | 0.410758i | 0.00905970 | + | 0.0140972i | ||||
\(850\) | 53.4857 | + | 1.53856i | 1.83455 | + | 0.0527720i | ||||
\(851\) | −29.0759 | + | 27.3529i | −0.996709 | + | 0.937646i | ||||
\(852\) | −0.0256429 | + | 0.445352i | −0.000878513 | + | 0.0152575i | ||||
\(853\) | −0.784412 | − | 1.22057i | −0.0268578 | − | 0.0417915i | 0.827565 | − | 0.561370i | \(-0.189725\pi\) |
−0.854423 | + | 0.519578i | \(0.826089\pi\) | |||||||
\(854\) | −13.0492 | − | 2.26091i | −0.446535 | − | 0.0773669i | ||||
\(855\) | 14.5258 | + | 6.63371i | 0.496772 | + | 0.226868i | ||||
\(856\) | 39.5616 | − | 7.99178i | 1.35219 | − | 0.273153i | ||||
\(857\) | 1.18687 | + | 2.59887i | 0.0405426 | + | 0.0887758i | 0.928820 | − | 0.370532i | \(-0.120825\pi\) |
−0.888277 | + | 0.459308i | \(0.848097\pi\) | |||||||
\(858\) | 0.306337 | − | 0.250390i | 0.0104582 | − | 0.00854816i | ||||
\(859\) | 4.01477 | + | 27.9234i | 0.136982 | + | 0.952733i | 0.936144 | + | 0.351617i | \(0.114368\pi\) |
−0.799162 | + | 0.601116i | \(0.794723\pi\) | |||||||
\(860\) | −20.1770 | + | 56.4793i | −0.688029 | + | 1.92593i | ||||
\(861\) | 0.258165 | − | 0.297939i | 0.00879825 | − | 0.0101537i | ||||
\(862\) | 8.84116 | − | 12.9243i | 0.301131 | − | 0.440203i | ||||
\(863\) | 2.27225 | − | 3.53569i | 0.0773484 | − | 0.120356i | −0.800424 | − | 0.599434i | \(-0.795392\pi\) |
0.877773 | + | 0.479078i | \(0.159029\pi\) | |||||||
\(864\) | 0.549994 | + | 0.635997i | 0.0187112 | + | 0.0216371i | ||||
\(865\) | 11.1614 | − | 38.0121i | 0.379498 | − | 1.29245i | ||||
\(866\) | 0.365589 | + | 3.19183i | 0.0124232 | + | 0.108463i | ||||
\(867\) | −0.0218619 | − | 0.0252300i | −0.000742470 | − | 0.000856856i | ||||
\(868\) | 23.6730 | − | 9.20593i | 0.803512 | − | 0.312470i | ||||
\(869\) | 13.8603 | + | 47.2040i | 0.470180 | + | 1.60128i | ||||
\(870\) | 0.172591 | − | 0.350858i | 0.00585139 | − | 0.0118952i | ||||
\(871\) | −5.86631 | + | 40.8011i | −0.198772 | + | 1.38249i | ||||
\(872\) | 0.767555 | + | 1.45677i | 0.0259927 | + | 0.0493325i | ||||
\(873\) | 25.8094i | 0.873516i | ||||||||
\(874\) | −8.87956 | − | 3.92582i | −0.300355 | − | 0.132793i | ||||
\(875\) | −29.5064 | −0.997499 | ||||||||
\(876\) | −0.483174 | + | 0.272609i | −0.0163249 | + | 0.00921059i | ||||
\(877\) | 17.3486 | + | 2.49436i | 0.585821 | + | 0.0842284i | 0.428852 | − | 0.903375i | \(-0.358918\pi\) |
0.156970 | + | 0.987603i | \(0.449827\pi\) | |||||||
\(878\) | 9.26788 | − | 18.8405i | 0.312776 | − | 0.635836i | ||||
\(879\) | 0.0931647 | − | 0.0273556i | 0.00314237 | − | 0.000922683i | ||||
\(880\) | −52.0442 | + | 16.8647i | −1.75441 | + | 0.568508i | ||||
\(881\) | −11.9250 | + | 10.3330i | −0.401762 | + | 0.348129i | −0.832185 | − | 0.554499i | \(-0.812910\pi\) |
0.430422 | + | 0.902628i | \(0.358365\pi\) | |||||||
\(882\) | −11.4476 | + | 1.31120i | −0.385462 | + | 0.0441504i | ||||
\(883\) | 33.7274 | + | 9.90327i | 1.13502 | + | 0.333271i | 0.794678 | − | 0.607031i | \(-0.207640\pi\) |
0.340340 | + | 0.940302i | \(0.389458\pi\) | |||||||
\(884\) | 18.3411 | − | 18.8576i | 0.616877 | − | 0.634249i | ||||
\(885\) | −0.0139679 | − | 0.00897663i | −0.000469526 | − | 0.000301746i | ||||
\(886\) | −2.32629 | + | 3.40064i | −0.0781532 | + | 0.114247i | ||||
\(887\) | −1.60225 | − | 1.38835i | −0.0537981 | − | 0.0466163i | 0.627547 | − | 0.778579i | \(-0.284059\pi\) |
−0.681345 | + | 0.731963i | \(0.738605\pi\) | |||||||
\(888\) | 0.211949 | − | 0.543432i | 0.00711254 | − | 0.0182364i | ||||
\(889\) | −18.5691 | + | 2.66984i | −0.622788 | + | 0.0895434i | ||||
\(890\) | 14.9698 | + | 18.3147i | 0.501789 | + | 0.613910i | ||||
\(891\) | −30.0868 | + | 13.7402i | −1.00795 | + | 0.460314i | ||||
\(892\) | 2.82222 | + | 12.1583i | 0.0944950 | + | 0.407090i | ||||
\(893\) | −1.94358 | + | 4.25585i | −0.0650394 | + | 0.142417i | ||||
\(894\) | −0.507847 | − | 0.0879899i | −0.0169849 | − | 0.00294282i | ||||
\(895\) | −28.6127 | + | 18.3883i | −0.956418 | + | 0.614653i | ||||
\(896\) | 4.68192 | − | 22.9429i | 0.156412 | − | 0.766468i | ||||
\(897\) | 0.0666393 | + | 0.358720i | 0.00222502 | + | 0.0119773i | ||||
\(898\) | −1.48120 | + | 51.4919i | −0.0494283 | + | 1.71831i | ||||
\(899\) | −15.4887 | + | 9.95401i | −0.516579 | + | 0.331985i | ||||
\(900\) | −10.5434 | + | 51.9284i | −0.351448 | + | 1.73095i | ||||
\(901\) | 4.16641 | + | 1.90273i | 0.138803 | + | 0.0633893i | ||||
\(902\) | 38.6711 | − | 10.1567i | 1.28761 | − | 0.338180i | ||||
\(903\) | −0.376074 | + | 0.171747i | −0.0125150 | + | 0.00571539i | ||||
\(904\) | −29.9078 | − | 41.2159i | −0.994718 | − | 1.37082i | ||||
\(905\) | 5.94999 | + | 41.3831i | 0.197784 | + | 1.37562i | ||||
\(906\) | 0.237739 | + | 0.0772981i | 0.00789835 | + | 0.00256806i | ||||
\(907\) | −9.75761 | − | 8.45502i | −0.323996 | − | 0.280744i | 0.477641 | − | 0.878555i | \(-0.341492\pi\) |
−0.801637 | + | 0.597811i | \(0.796037\pi\) | |||||||
\(908\) | 6.18977 | − | 8.51240i | 0.205415 | − | 0.282494i | ||||
\(909\) | 21.2376 | − | 33.0463i | 0.704406 | − | 1.09608i | ||||
\(910\) | −22.6082 | + | 24.6235i | −0.749456 | + | 0.816262i | ||||
\(911\) | −43.0014 | − | 12.6263i | −1.42470 | − | 0.418329i | −0.523608 | − | 0.851959i | \(-0.675414\pi\) |
−0.901091 | + | 0.433630i | \(0.857233\pi\) | |||||||
\(912\) | 0.141807 | − | 0.00393878i | 0.00469570 | − | 0.000130426i | ||||
\(913\) | 28.8782 | + | 33.3272i | 0.955729 | + | 1.10297i | ||||
\(914\) | 2.81638 | + | 6.66804i | 0.0931576 | + | 0.220559i | ||||
\(915\) | 0.400050 | − | 0.117465i | 0.0132253 | − | 0.00388329i | ||||
\(916\) | −8.72268 | + | 16.5155i | −0.288205 | + | 0.545687i | ||||
\(917\) | −5.80677 | + | 40.3870i | −0.191756 | + | 1.33369i | ||||
\(918\) | 0.771145 | − | 0.464809i | 0.0254516 | − | 0.0153410i | ||||
\(919\) | 7.35971 | 0.242774 | 0.121387 | − | 0.992605i | \(-0.461266\pi\) | ||||
0.121387 | + | 0.992605i | \(0.461266\pi\) | |||||||
\(920\) | 9.43876 | − | 49.5601i | 0.311187 | − | 1.63395i | ||||
\(921\) | −0.481315 | −0.0158599 | ||||||||
\(922\) | 20.7240 | − | 12.4915i | 0.682509 | − | 0.411384i | ||||
\(923\) | −3.93418 | + | 27.3628i | −0.129495 | + | 0.900659i | ||||
\(924\) | −0.333476 | − | 0.176126i | −0.0109706 | − | 0.00579413i | ||||
\(925\) | 70.5473 | − | 20.7146i | 2.31958 | − | 0.681091i | ||||
\(926\) | −8.81574 | − | 20.8721i | −0.289703 | − | 0.685899i | ||||
\(927\) | −14.2782 | − | 16.4780i | −0.468959 | − | 0.541207i | ||||
\(928\) | −0.0167910 | + | 16.9732i | −0.000551190 | + | 0.557173i | ||||
\(929\) | 46.3387 | + | 13.6063i | 1.52032 | + | 0.446408i | 0.932073 | − | 0.362270i | \(-0.117998\pi\) |
0.588252 | + | 0.808678i | \(0.299816\pi\) | |||||||
\(930\) | −0.540819 | + | 0.589027i | −0.0177341 | + | 0.0193149i | ||||
\(931\) | −2.10227 | + | 3.27120i | −0.0688992 | + | 0.107209i | ||||
\(932\) | −2.22815 | − | 1.62019i | −0.0729855 | − | 0.0530712i | ||||
\(933\) | −0.225330 | − | 0.195249i | −0.00737696 | − | 0.00639217i | ||||
\(934\) | −26.7857 | − | 8.70905i | −0.876453 | − | 0.284969i | ||||
\(935\) | 8.33744 | + | 57.9882i | 0.272664 | + | 1.89642i | ||||
\(936\) | 15.2995 | + | 21.0843i | 0.500080 | + | 0.689160i | ||||
\(937\) | −7.72504 | + | 3.52791i | −0.252366 | + | 0.115252i | −0.537582 | − | 0.843212i | \(-0.680662\pi\) |
0.285216 | + | 0.958463i | \(0.407935\pi\) | |||||||
\(938\) | 38.0024 | − | 9.98105i | 1.24082 | − | 0.325893i | ||||
\(939\) | −0.327001 | − | 0.149336i | −0.0106713 | − | 0.00487341i | ||||
\(940\) | −23.8263 | − | 4.83765i | −0.777129 | − | 0.157787i | ||||
\(941\) | −0.781896 | + | 0.502494i | −0.0254891 | + | 0.0163808i | −0.553323 | − | 0.832967i | \(-0.686641\pi\) |
0.527834 | + | 0.849347i | \(0.323004\pi\) | |||||||
\(942\) | 0.00604071 | − | 0.209997i | 0.000196817 | − | 0.00684206i | ||||
\(943\) | −8.93342 | + | 35.7725i | −0.290912 | + | 1.16491i | ||||
\(944\) | 0.715980 | + | 0.0827252i | 0.0233032 | + | 0.00269248i | ||||
\(945\) | −0.962544 | + | 0.618589i | −0.0313115 | + | 0.0201227i | ||||
\(946\) | −41.3150 | − | 7.15827i | −1.34327 | − | 0.232735i | ||||
\(947\) | −10.9088 | + | 23.8869i | −0.354488 | + | 0.776220i | 0.645435 | + | 0.763815i | \(0.276676\pi\) |
−0.999923 | + | 0.0124053i | \(0.996051\pi\) | |||||||
\(948\) | 0.645743 | − | 0.149892i | 0.0209728 | − | 0.00486826i | ||||
\(949\) | −31.2725 | + | 14.2817i | −1.01515 | + | 0.463603i | ||||
\(950\) | 11.3167 | + | 13.8453i | 0.367161 | + | 0.449200i | ||||
\(951\) | 0.821256 | − | 0.118079i | 0.0266310 | − | 0.00382897i | ||||
\(952\) | −23.3608 | − | 9.11116i | −0.757128 | − | 0.295295i | ||||
\(953\) | 27.6777 | + | 23.9829i | 0.896568 | + | 0.776881i | 0.975500 | − | 0.219999i | \(-0.0706055\pi\) |
−0.0789318 | + | 0.996880i | \(0.525151\pi\) | |||||||
\(954\) | −2.56095 | + | 3.74368i | −0.0829138 | + | 0.121206i | ||||
\(955\) | 30.3330 | + | 19.4938i | 0.981552 | + | 0.630805i | ||||
\(956\) | −9.96758 | − | 9.69457i | −0.322375 | − | 0.313545i | ||||
\(957\) | 0.262294 | + | 0.0770166i | 0.00847877 | + | 0.00248959i | ||||
\(958\) | 12.4464 | − | 1.42560i | 0.402125 | − | 0.0460589i | ||||
\(959\) | −1.00274 | + | 0.868877i | −0.0323801 | + | 0.0280575i | ||||
\(960\) | 0.186558 | + | 0.713184i | 0.00602114 | + | 0.0230179i | ||||
\(961\) | 6.38356 | − | 1.87438i | 0.205921 | − | 0.0604640i | ||||
\(962\) | 15.9554 | − | 32.4353i | 0.514421 | − | 1.04576i | ||||
\(963\) | 42.3646 | + | 6.09112i | 1.36518 | + | 0.196283i | ||||
\(964\) | 5.86765 | + | 10.3999i | 0.188984 | + | 0.334957i | ||||
\(965\) | −66.8667 | −2.15251 | ||||||||
\(966\) | 0.290272 | − | 0.191556i | 0.00933934 | − | 0.00616321i | ||||
\(967\) | − | 26.6482i | − | 0.856948i | −0.903554 | − | 0.428474i | \(-0.859051\pi\) | ||
0.903554 | − | 0.428474i | \(-0.140949\pi\) | |||||||
\(968\) | −3.32628 | − | 6.31308i | −0.106911 | − | 0.202910i | ||||
\(969\) | 0.0216194 | − | 0.150366i | 0.000694515 | − | 0.00483045i | ||||
\(970\) | −19.9780 | + | 40.6129i | −0.641455 | + | 1.30400i | ||||
\(971\) | −11.5019 | − | 39.1718i | −0.369113 | − | 1.25708i | −0.909513 | − | 0.415675i | \(-0.863545\pi\) |
0.540400 | − | 0.841408i | \(-0.318273\pi\) | |||||||
\(972\) | 0.484768 | + | 1.24657i | 0.0155489 | + | 0.0399839i | ||||
\(973\) | −9.26896 | − | 10.6970i | −0.297149 | − | 0.342929i | ||||
\(974\) | 0.289969 | + | 2.53163i | 0.00929122 | + | 0.0811185i | ||||
\(975\) | 0.189326 | − | 0.644787i | 0.00606330 | − | 0.0206497i | ||||
\(976\) | −13.3438 | + | 12.2274i | −0.427124 | + | 0.391389i | ||||
\(977\) | 9.42838 | − | 14.6708i | 0.301641 | − | 0.469362i | −0.657036 | − | 0.753859i | \(-0.728190\pi\) |
0.958677 | + | 0.284497i | \(0.0918266\pi\) | |||||||
\(978\) | 0.368089 | − | 0.538085i | 0.0117702 | − | 0.0172061i | ||||
\(979\) | −10.8297 | + | 12.4982i | −0.346119 | + | 0.399443i | ||||
\(980\) | −19.0286 | − | 6.79788i | −0.607846 | − | 0.217150i | ||||
\(981\) | 0.248501 | + | 1.72836i | 0.00793403 | + | 0.0551824i | ||||
\(982\) | −29.2736 | + | 23.9272i | −0.934158 | + | 0.763549i | ||||
\(983\) | −21.7695 | − | 47.6685i | −0.694338 | − | 1.52039i | −0.846704 | − | 0.532064i | \(-0.821417\pi\) |
0.152366 | − | 0.988324i | \(-0.451311\pi\) | |||||||
\(984\) | −0.106678 | − | 0.528087i | −0.00340077 | − | 0.0168348i | ||||
\(985\) | −17.2924 | − | 7.89718i | −0.550982 | − | 0.251625i | ||||
\(986\) | 17.9089 | + | 3.10291i | 0.570336 | + | 0.0988168i | ||||
\(987\) | −0.0906096 | − | 0.140991i | −0.00288414 | − | 0.00448780i | ||||
\(988\) | 8.77665 | + | 0.505351i | 0.279222 | + | 0.0160774i | ||||
\(989\) | 24.1064 | − | 30.2332i | 0.766540 | − | 0.961361i | ||||
\(990\) | −57.9913 | − | 1.66816i | −1.84308 | − | 0.0530176i | ||||
\(991\) | 10.2459 | + | 15.9429i | 0.325472 | + | 0.506444i | 0.964974 | − | 0.262345i | \(-0.0844960\pi\) |
−0.639503 | + | 0.768789i | \(0.720860\pi\) | |||||||
\(992\) | 9.81234 | − | 33.2959i | 0.311542 | − | 1.05715i | ||||
\(993\) | 0.0884163 | − | 0.193605i | 0.00280581 | − | 0.00614386i | ||||
\(994\) | 25.4860 | − | 6.69370i | 0.808366 | − | 0.212311i | ||||
\(995\) | −39.5180 | − | 86.5323i | −1.25280 | − | 2.74326i | ||||
\(996\) | 0.470700 | − | 0.362667i | 0.0149147 | − | 0.0114915i | ||||
\(997\) | −31.1067 | + | 4.47247i | −0.985158 | + | 0.141644i | −0.616020 | − | 0.787730i | \(-0.711256\pi\) |
−0.369138 | + | 0.929375i | \(0.620347\pi\) | |||||||
\(998\) | 2.01634 | − | 6.20147i | 0.0638260 | − | 0.196304i | ||||
\(999\) | 0.810221 | − | 0.935045i | 0.0256343 | − | 0.0295835i |
(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 | 184.2.j.a.11.8 | ✓ | 220 | |
4.3 | odd | 2 | 736.2.r.a.655.11 | 220 | |||
8.3 | odd | 2 | inner | 184.2.j.a.11.15 | yes | 220 | |
8.5 | even | 2 | 736.2.r.a.655.12 | 220 | |||
23.21 | odd | 22 | inner | 184.2.j.a.67.15 | yes | 220 | |
92.67 | even | 22 | 736.2.r.a.527.12 | 220 | |||
184.21 | odd | 22 | 736.2.r.a.527.11 | 220 | |||
184.67 | even | 22 | inner | 184.2.j.a.67.8 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
184.2.j.a.11.8 | ✓ | 220 | 1.1 | even | 1 | trivial | |
184.2.j.a.11.15 | yes | 220 | 8.3 | odd | 2 | inner | |
184.2.j.a.67.8 | yes | 220 | 184.67 | even | 22 | inner | |
184.2.j.a.67.15 | yes | 220 | 23.21 | odd | 22 | inner | |
736.2.r.a.527.11 | 220 | 184.21 | odd | 22 | |||
736.2.r.a.527.12 | 220 | 92.67 | even | 22 | |||
736.2.r.a.655.11 | 220 | 4.3 | odd | 2 | |||
736.2.r.a.655.12 | 220 | 8.5 | even | 2 |