Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 233.4 | ||
Character | \(\chi\) | \(=\) | 605.233 |
Dual form | 605.2.m.c.457.4 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35439 | − | 0.690094i | 0.957695 | − | 0.487970i | 0.0959918 | − | 0.995382i | \(-0.469398\pi\) |
0.861704 | + | 0.507412i | \(0.169398\pi\) | |||||||
\(3\) | −0.787410 | − | 0.124714i | −0.454611 | − | 0.0720034i | −0.0750703 | − | 0.997178i | \(-0.523918\pi\) |
−0.379541 | + | 0.925175i | \(0.623918\pi\) | |||||||
\(4\) | 0.182561 | − | 0.251273i | 0.0912803 | − | 0.125637i | ||||
\(5\) | 0.834856 | + | 2.07437i | 0.373359 | + | 0.927687i | ||||
\(6\) | −1.15252 | + | 0.374477i | −0.470515 | + | 0.152880i | ||||
\(7\) | 0.0299527 | + | 0.189114i | 0.0113210 | + | 0.0714783i | 0.992702 | − | 0.120593i | \(-0.0384796\pi\) |
−0.981381 | + | 0.192071i | \(0.938480\pi\) | |||||||
\(8\) | −0.401725 | + | 2.53639i | −0.142031 | + | 0.896750i | ||||
\(9\) | −2.24871 | − | 0.730650i | −0.749569 | − | 0.243550i | ||||
\(10\) | 2.56223 | + | 2.23337i | 0.810248 | + | 0.706253i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.175087 | + | 0.175087i | −0.0505433 | + | 0.0505433i | ||||
\(13\) | 1.40537 | + | 2.75820i | 0.389781 | + | 0.764988i | 0.999621 | − | 0.0275369i | \(-0.00876637\pi\) |
−0.609840 | + | 0.792524i | \(0.708766\pi\) | |||||||
\(14\) | 0.171074 | + | 0.235463i | 0.0457214 | + | 0.0629301i | ||||
\(15\) | −0.398672 | − | 1.73750i | −0.102937 | − | 0.448620i | ||||
\(16\) | 1.39821 | + | 4.30326i | 0.349553 | + | 1.07581i | ||||
\(17\) | −1.68272 | + | 3.30253i | −0.408120 | + | 0.800981i | −0.999987 | − | 0.00505476i | \(-0.998391\pi\) |
0.591867 | + | 0.806036i | \(0.298391\pi\) | |||||||
\(18\) | −3.54984 | + | 0.562239i | −0.836704 | + | 0.132521i | ||||
\(19\) | −0.601740 | + | 0.437190i | −0.138049 | + | 0.100298i | −0.654666 | − | 0.755918i | \(-0.727191\pi\) |
0.516618 | + | 0.856216i | \(0.327191\pi\) | |||||||
\(20\) | 0.673645 | + | 0.168921i | 0.150632 | + | 0.0377720i | ||||
\(21\) | − | 0.152646i | − | 0.0333100i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.14886 | − | 1.14886i | −0.239553 | − | 0.239553i | 0.577112 | − | 0.816665i | \(-0.304180\pi\) |
−0.816665 | + | 0.577112i | \(0.804180\pi\) | |||||||
\(24\) | 0.632645 | − | 1.94708i | 0.129138 | − | 0.397446i | ||||
\(25\) | −3.60603 | + | 3.46360i | −0.721206 | + | 0.692721i | ||||
\(26\) | 3.80684 | + | 2.76583i | 0.746582 | + | 0.542424i | ||||
\(27\) | 3.81053 | + | 1.94156i | 0.733337 | + | 0.373654i | ||||
\(28\) | 0.0529874 | + | 0.0269984i | 0.0100137 | + | 0.00510222i | ||||
\(29\) | 7.72385 | + | 5.61170i | 1.43428 | + | 1.04207i | 0.989199 | + | 0.146578i | \(0.0468261\pi\) |
0.445084 | + | 0.895489i | \(0.353174\pi\) | |||||||
\(30\) | −1.73899 | − | 2.07812i | −0.317495 | − | 0.379411i | ||||
\(31\) | 0.108440 | − | 0.333745i | 0.0194765 | − | 0.0599424i | −0.940846 | − | 0.338835i | \(-0.889967\pi\) |
0.960322 | + | 0.278892i | \(0.0899673\pi\) | |||||||
\(32\) | 1.23166 | + | 1.23166i | 0.217729 | + | 0.217729i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.63413i | 0.966246i | ||||||||
\(35\) | −0.367286 | + | 0.220016i | −0.0620826 | + | 0.0371895i | ||||
\(36\) | −0.594118 | + | 0.431652i | −0.0990197 | + | 0.0719420i | ||||
\(37\) | 5.33881 | − | 0.845584i | 0.877694 | − | 0.139013i | 0.298702 | − | 0.954346i | \(-0.403446\pi\) |
0.578992 | + | 0.815333i | \(0.303446\pi\) | |||||||
\(38\) | −0.513286 | + | 1.00738i | −0.0832660 | + | 0.163419i | ||||
\(39\) | −0.762621 | − | 2.34710i | −0.122117 | − | 0.375838i | ||||
\(40\) | −5.59680 | + | 1.28420i | −0.884932 | + | 0.203049i | ||||
\(41\) | −3.93579 | − | 5.41715i | −0.614667 | − | 0.846017i | 0.382284 | − | 0.924045i | \(-0.375138\pi\) |
−0.996951 | + | 0.0780281i | \(0.975138\pi\) | |||||||
\(42\) | −0.105340 | − | 0.206741i | −0.0162543 | − | 0.0319008i | ||||
\(43\) | −3.72708 | + | 3.72708i | −0.568374 | + | 0.568374i | −0.931673 | − | 0.363299i | \(-0.881650\pi\) |
0.363299 | + | 0.931673i | \(0.381650\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.361710 | − | 5.27464i | −0.0539205 | − | 0.786297i | ||||
\(46\) | −2.34882 | − | 0.763176i | −0.346314 | − | 0.112524i | ||||
\(47\) | 1.93417 | − | 12.2119i | 0.282128 | − | 1.78128i | −0.285885 | − | 0.958264i | \(-0.592287\pi\) |
0.568013 | − | 0.823020i | \(-0.307713\pi\) | |||||||
\(48\) | −0.564293 | − | 3.56281i | −0.0814487 | − | 0.514247i | ||||
\(49\) | 6.62253 | − | 2.15179i | 0.946076 | − | 0.307399i | ||||
\(50\) | −2.49374 | + | 7.17955i | −0.352669 | + | 1.01534i | ||||
\(51\) | 1.73686 | − | 2.39059i | 0.243209 | − | 0.334749i | ||||
\(52\) | 0.949628 | + | 0.150406i | 0.131690 | + | 0.0208576i | ||||
\(53\) | 8.04607 | − | 4.09968i | 1.10521 | − | 0.563134i | 0.196478 | − | 0.980508i | \(-0.437050\pi\) |
0.908735 | + | 0.417374i | \(0.137050\pi\) | |||||||
\(54\) | 6.50079 | 0.884646 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.491699 | −0.0657061 | ||||||||
\(57\) | 0.528339 | − | 0.269202i | 0.0699803 | − | 0.0356567i | ||||
\(58\) | 14.3337 | + | 2.27023i | 1.88210 | + | 0.298096i | ||||
\(59\) | −5.65807 | + | 7.78767i | −0.736618 | + | 1.01387i | 0.262188 | + | 0.965017i | \(0.415556\pi\) |
−0.998806 | + | 0.0488514i | \(0.984444\pi\) | |||||||
\(60\) | −0.509368 | − | 0.217023i | −0.0657592 | − | 0.0280176i | ||||
\(61\) | −5.60460 | + | 1.82105i | −0.717596 | + | 0.233161i | −0.644980 | − | 0.764199i | \(-0.723134\pi\) |
−0.0726152 | + | 0.997360i | \(0.523134\pi\) | |||||||
\(62\) | −0.0834454 | − | 0.526853i | −0.0105976 | − | 0.0669104i | ||||
\(63\) | 0.0708211 | − | 0.447147i | 0.00892261 | − | 0.0563352i | ||||
\(64\) | −6.08841 | − | 1.97824i | −0.761051 | − | 0.247281i | ||||
\(65\) | −4.54825 | + | 5.21797i | −0.564141 | + | 0.647209i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.13426 | − | 4.13426i | 0.505081 | − | 0.505081i | −0.407932 | − | 0.913012i | \(-0.633750\pi\) |
0.913012 | + | 0.407932i | \(0.133750\pi\) | |||||||
\(68\) | 0.522638 | + | 1.02573i | 0.0633791 | + | 0.124389i | ||||
\(69\) | 0.761344 | + | 1.04790i | 0.0916550 | + | 0.126152i | ||||
\(70\) | −0.345615 | + | 0.551448i | −0.0413089 | + | 0.0659106i | ||||
\(71\) | −3.54186 | − | 10.9007i | −0.420342 | − | 1.29368i | −0.907385 | − | 0.420301i | \(-0.861925\pi\) |
0.487043 | − | 0.873378i | \(-0.338075\pi\) | |||||||
\(72\) | 2.75658 | − | 5.41009i | 0.324866 | − | 0.637585i | ||||
\(73\) | −2.37229 | + | 0.375734i | −0.277656 | + | 0.0439764i | −0.293709 | − | 0.955895i | \(-0.594890\pi\) |
0.0160534 | + | 0.999871i | \(0.494890\pi\) | |||||||
\(74\) | 6.64727 | − | 4.82953i | 0.772730 | − | 0.561421i | ||||
\(75\) | 3.27138 | − | 2.27756i | 0.377747 | − | 0.262989i | ||||
\(76\) | 0.231015i | 0.0264992i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.65261 | − | 2.65261i | −0.300348 | − | 0.300348i | ||||
\(79\) | −0.207191 | + | 0.637669i | −0.0233108 | + | 0.0717434i | −0.962035 | − | 0.272925i | \(-0.912009\pi\) |
0.938724 | + | 0.344669i | \(0.112009\pi\) | |||||||
\(80\) | −7.75925 | + | 6.49302i | −0.867510 | + | 0.725941i | ||||
\(81\) | 2.98028 | + | 2.16530i | 0.331143 | + | 0.240589i | ||||
\(82\) | −9.06892 | − | 4.62085i | −1.00149 | − | 0.510287i | ||||
\(83\) | 14.8647 | + | 7.57393i | 1.63161 | + | 0.831347i | 0.998351 | + | 0.0574083i | \(0.0182837\pi\) |
0.633260 | + | 0.773939i | \(0.281716\pi\) | |||||||
\(84\) | −0.0383557 | − | 0.0278671i | −0.00418495 | − | 0.00304055i | ||||
\(85\) | −8.25550 | − | 0.733454i | −0.895435 | − | 0.0795542i | ||||
\(86\) | −2.47587 | + | 7.61994i | −0.266980 | + | 0.821679i | ||||
\(87\) | −5.38198 | − | 5.38198i | −0.577009 | − | 0.577009i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 7.92190i | 0.839720i | 0.907589 | + | 0.419860i | \(0.137921\pi\) | ||||
−0.907589 | + | 0.419860i | \(0.862079\pi\) | |||||||
\(90\) | −4.12989 | − | 6.89429i | −0.435329 | − | 0.726722i | ||||
\(91\) | −0.479519 | + | 0.348391i | −0.0502673 | + | 0.0365213i | ||||
\(92\) | −0.498413 | + | 0.0789408i | −0.0519631 | + | 0.00823015i | ||||
\(93\) | −0.127009 | + | 0.249270i | −0.0131703 | + | 0.0258481i | ||||
\(94\) | −5.80772 | − | 17.8743i | −0.599021 | − | 1.84360i | ||||
\(95\) | −1.40926 | − | 0.883241i | −0.144587 | − | 0.0906186i | ||||
\(96\) | −0.816218 | − | 1.12343i | −0.0833049 | − | 0.114659i | ||||
\(97\) | −0.626047 | − | 1.22869i | −0.0635655 | − | 0.124754i | 0.857038 | − | 0.515254i | \(-0.172302\pi\) |
−0.920603 | + | 0.390500i | \(0.872302\pi\) | |||||||
\(98\) | 7.48452 | − | 7.48452i | 0.756051 | − | 0.756051i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.211991 | + | 1.53842i | 0.0211991 | + | 0.153842i | ||||
\(101\) | −4.58927 | − | 1.49114i | −0.456649 | − | 0.148374i | 0.0716549 | − | 0.997429i | \(-0.477172\pi\) |
−0.528304 | + | 0.849055i | \(0.677172\pi\) | |||||||
\(102\) | 0.702653 | − | 4.43637i | 0.0695730 | − | 0.439266i | ||||
\(103\) | −0.506431 | − | 3.19748i | −0.0499001 | − | 0.315057i | −0.999995 | − | 0.00309638i | \(-0.999014\pi\) |
0.950095 | − | 0.311960i | \(-0.100986\pi\) | |||||||
\(104\) | −7.56045 | + | 2.45654i | −0.741364 | + | 0.240884i | ||||
\(105\) | 0.316644 | − | 0.127437i | 0.0309012 | − | 0.0124366i | ||||
\(106\) | 8.06832 | − | 11.1051i | 0.783665 | − | 1.07862i | ||||
\(107\) | 10.9194 | + | 1.72947i | 1.05562 | + | 0.167194i | 0.660035 | − | 0.751235i | \(-0.270542\pi\) |
0.395586 | + | 0.918429i | \(0.370542\pi\) | |||||||
\(108\) | 1.18352 | − | 0.603031i | 0.113884 | − | 0.0580267i | ||||
\(109\) | −9.54212 | −0.913969 | −0.456985 | − | 0.889475i | \(-0.651071\pi\) | ||||
−0.456985 | + | 0.889475i | \(0.651071\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.30929 | −0.409019 | ||||||||
\(112\) | −0.771925 | + | 0.393316i | −0.0729401 | + | 0.0371648i | ||||
\(113\) | −4.09662 | − | 0.648841i | −0.385378 | − | 0.0610378i | −0.0392603 | − | 0.999229i | \(-0.512500\pi\) |
−0.346117 | + | 0.938191i | \(0.612500\pi\) | |||||||
\(114\) | 0.529801 | − | 0.729208i | 0.0496204 | − | 0.0682966i | ||||
\(115\) | 1.42403 | − | 3.34229i | 0.132791 | − | 0.311670i | ||||
\(116\) | 2.82014 | − | 0.916319i | 0.261843 | − | 0.0850781i | ||||
\(117\) | −1.14500 | − | 7.22923i | −0.105855 | − | 0.668342i | ||||
\(118\) | −2.28899 | + | 14.4521i | −0.210719 | + | 1.33042i | ||||
\(119\) | −0.674956 | − | 0.219306i | −0.0618731 | − | 0.0201038i | ||||
\(120\) | 4.56713 | − | 0.313192i | 0.416920 | − | 0.0285904i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −6.33410 | + | 6.33410i | −0.573462 | + | 0.573462i | ||||
\(123\) | 2.42349 | + | 4.75636i | 0.218519 | + | 0.428867i | ||||
\(124\) | −0.0640642 | − | 0.0881768i | −0.00575313 | − | 0.00791851i | ||||
\(125\) | −10.1953 | − | 4.58863i | −0.911897 | − | 0.410420i | ||||
\(126\) | −0.212654 | − | 0.654482i | −0.0189447 | − | 0.0583059i | ||||
\(127\) | 6.61337 | − | 12.9795i | 0.586842 | − | 1.15174i | −0.386480 | − | 0.922298i | \(-0.626309\pi\) |
0.973322 | − | 0.229444i | \(-0.0736907\pi\) | |||||||
\(128\) | −13.0520 | + | 2.06723i | −1.15365 | + | 0.182719i | ||||
\(129\) | 3.39956 | − | 2.46992i | 0.299314 | − | 0.217465i | ||||
\(130\) | −2.55919 | + | 10.2059i | −0.224456 | + | 0.895113i | ||||
\(131\) | − | 9.76926i | − | 0.853544i | −0.904359 | − | 0.426772i | \(-0.859651\pi\) | ||
0.904359 | − | 0.426772i | \(-0.140349\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.100702 | − | 0.100702i | −0.00873200 | − | 0.00873200i | ||||
\(134\) | 2.74636 | − | 8.45242i | 0.237249 | − | 0.730178i | ||||
\(135\) | −0.846275 | + | 9.52538i | −0.0728358 | + | 0.819815i | ||||
\(136\) | −7.70051 | − | 5.59475i | −0.660314 | − | 0.479746i | ||||
\(137\) | −3.85816 | − | 1.96583i | −0.329625 | − | 0.167952i | 0.281344 | − | 0.959607i | \(-0.409220\pi\) |
−0.610969 | + | 0.791655i | \(0.709220\pi\) | |||||||
\(138\) | 1.75430 | + | 0.893862i | 0.149336 | + | 0.0760906i | ||||
\(139\) | 8.50321 | + | 6.17795i | 0.721233 | + | 0.524007i | 0.886778 | − | 0.462196i | \(-0.152938\pi\) |
−0.165545 | + | 0.986202i | \(0.552938\pi\) | |||||||
\(140\) | −0.0117679 | + | 0.132455i | −0.000994568 | + | 0.0111945i | ||||
\(141\) | −3.04597 | + | 9.37453i | −0.256517 | + | 0.789478i | ||||
\(142\) | −12.3196 | − | 12.3196i | −1.03384 | − | 1.03384i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 10.6984i | − | 0.891532i | ||||||
\(145\) | −5.19245 | + | 20.7071i | −0.431210 | + | 1.71963i | ||||
\(146\) | −2.95371 | + | 2.14600i | −0.244451 | + | 0.177604i | ||||
\(147\) | −5.48300 | + | 0.868422i | −0.452230 | + | 0.0716263i | ||||
\(148\) | 0.762183 | − | 1.49587i | 0.0626511 | − | 0.122960i | ||||
\(149\) | 1.78068 | + | 5.48038i | 0.145879 | + | 0.448970i | 0.997123 | − | 0.0758003i | \(-0.0241511\pi\) |
−0.851244 | + | 0.524771i | \(0.824151\pi\) | |||||||
\(150\) | 2.85899 | − | 5.34225i | 0.233435 | − | 0.436193i | ||||
\(151\) | 8.79574 | + | 12.1063i | 0.715787 | + | 0.985196i | 0.999653 | + | 0.0263324i | \(0.00838283\pi\) |
−0.283866 | + | 0.958864i | \(0.591617\pi\) | |||||||
\(152\) | −0.867150 | − | 1.70188i | −0.0703352 | − | 0.138041i | ||||
\(153\) | 6.19694 | − | 6.19694i | 0.500993 | − | 0.500993i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.782843 | − | 0.0536836i | 0.0628795 | − | 0.00431197i | ||||
\(156\) | −0.728989 | − | 0.236863i | −0.0583658 | − | 0.0189642i | ||||
\(157\) | −0.774057 | + | 4.88720i | −0.0617765 | + | 0.390041i | 0.937355 | + | 0.348375i | \(0.113267\pi\) |
−0.999132 | + | 0.0416659i | \(0.986733\pi\) | |||||||
\(158\) | 0.159435 | + | 1.00663i | 0.0126839 | + | 0.0800833i | ||||
\(159\) | −6.84684 | + | 2.22467i | −0.542990 | + | 0.176428i | ||||
\(160\) | −1.52666 | + | 3.58319i | −0.120693 | + | 0.283276i | ||||
\(161\) | 0.182853 | − | 0.251676i | 0.0144109 | − | 0.0198349i | ||||
\(162\) | 5.53072 | + | 0.875980i | 0.434534 | + | 0.0688235i | ||||
\(163\) | 8.92492 | − | 4.54748i | 0.699054 | − | 0.356186i | −0.0680736 | − | 0.997680i | \(-0.521685\pi\) |
0.767128 | + | 0.641494i | \(0.221685\pi\) | |||||||
\(164\) | −2.07970 | −0.162398 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 25.3592 | 1.96826 | ||||||||
\(167\) | 10.7475 | − | 5.47615i | 0.831670 | − | 0.423757i | 0.0143193 | − | 0.999897i | \(-0.495442\pi\) |
0.817351 | + | 0.576140i | \(0.195442\pi\) | |||||||
\(168\) | 0.387169 | + | 0.0613215i | 0.0298707 | + | 0.00473106i | ||||
\(169\) | 2.00861 | − | 2.76461i | 0.154508 | − | 0.212662i | ||||
\(170\) | −11.6873 | + | 4.70369i | −0.896374 | + | 0.360757i | ||||
\(171\) | 1.67257 | − | 0.543451i | 0.127905 | − | 0.0415587i | ||||
\(172\) | 0.256097 | + | 1.61693i | 0.0195272 | + | 0.123290i | ||||
\(173\) | −1.94997 | + | 12.3116i | −0.148253 | + | 0.936035i | 0.795636 | + | 0.605775i | \(0.207137\pi\) |
−0.943890 | + | 0.330261i | \(0.892863\pi\) | |||||||
\(174\) | −11.0034 | − | 3.57521i | −0.834162 | − | 0.271036i | ||||
\(175\) | −0.763025 | − | 0.578206i | −0.0576793 | − | 0.0437082i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.42645 | − | 5.42645i | 0.407877 | − | 0.407877i | ||||
\(178\) | 5.46686 | + | 10.7293i | 0.409758 | + | 0.804196i | ||||
\(179\) | −11.8607 | − | 16.3248i | −0.886507 | − | 1.22017i | −0.974576 | − | 0.224058i | \(-0.928070\pi\) |
0.0880691 | − | 0.996114i | \(-0.471930\pi\) | |||||||
\(180\) | −1.39141 | − | 0.872054i | −0.103710 | − | 0.0649991i | ||||
\(181\) | 1.42448 | + | 4.38411i | 0.105881 | + | 0.325868i | 0.989936 | − | 0.141514i | \(-0.0451971\pi\) |
−0.884055 | + | 0.467383i | \(0.845197\pi\) | |||||||
\(182\) | −0.409031 | + | 0.802769i | −0.0303194 | + | 0.0595052i | ||||
\(183\) | 4.64023 | − | 0.734940i | 0.343016 | − | 0.0543283i | ||||
\(184\) | 3.37548 | − | 2.45243i | 0.248843 | − | 0.180795i | ||||
\(185\) | 6.21119 | + | 10.3687i | 0.456656 | + | 0.762324i | ||||
\(186\) | 0.425256i | 0.0311813i | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −2.71541 | − | 2.71541i | −0.198042 | − | 0.198042i | ||||
\(189\) | −0.253041 | + | 0.778779i | −0.0184060 | + | 0.0566478i | ||||
\(190\) | −2.51820 | − | 0.223728i | −0.182689 | − | 0.0162309i | ||||
\(191\) | −5.11808 | − | 3.71850i | −0.370331 | − | 0.269062i | 0.387017 | − | 0.922073i | \(-0.373505\pi\) |
−0.757348 | + | 0.653011i | \(0.773505\pi\) | |||||||
\(192\) | 4.54736 | + | 2.31700i | 0.328178 | + | 0.167215i | ||||
\(193\) | 5.28534 | + | 2.69302i | 0.380447 | + | 0.193848i | 0.633747 | − | 0.773540i | \(-0.281516\pi\) |
−0.253300 | + | 0.967388i | \(0.581516\pi\) | |||||||
\(194\) | −1.69582 | − | 1.23208i | −0.121753 | − | 0.0884585i | ||||
\(195\) | 4.23209 | − | 3.54145i | 0.303066 | − | 0.253609i | ||||
\(196\) | 0.668326 | − | 2.05690i | 0.0477376 | − | 0.146921i | ||||
\(197\) | 9.90515 | + | 9.90515i | 0.705713 | + | 0.705713i | 0.965631 | − | 0.259918i | \(-0.0836955\pi\) |
−0.259918 | + | 0.965631i | \(0.583696\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.3828i | 0.948680i | 0.880342 | + | 0.474340i | \(0.157313\pi\) | ||||
−0.880342 | + | 0.474340i | \(0.842687\pi\) | |||||||
\(200\) | −7.33642 | − | 10.5377i | −0.518763 | − | 0.745129i | ||||
\(201\) | −3.77096 | + | 2.73976i | −0.265983 | + | 0.193248i | ||||
\(202\) | −7.24467 | + | 1.14744i | −0.509733 | + | 0.0807338i | ||||
\(203\) | −0.829901 | + | 1.62877i | −0.0582476 | + | 0.114317i | ||||
\(204\) | −0.283607 | − | 0.872853i | −0.0198565 | − | 0.0611120i | ||||
\(205\) | 7.95136 | − | 12.6868i | 0.555347 | − | 0.886087i | ||||
\(206\) | −2.89246 | − | 3.98113i | −0.201527 | − | 0.277379i | ||||
\(207\) | 1.74403 | + | 3.42286i | 0.121219 | + | 0.237905i | ||||
\(208\) | −9.90424 | + | 9.90424i | −0.686736 | + | 0.686736i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0.340914 | − | 0.391113i | 0.0235253 | − | 0.0269893i | ||||
\(211\) | 5.64203 | + | 1.83321i | 0.388413 | + | 0.126203i | 0.496712 | − | 0.867915i | \(-0.334540\pi\) |
−0.108299 | + | 0.994118i | \(0.534540\pi\) | |||||||
\(212\) | 0.438757 | − | 2.77020i | 0.0301339 | − | 0.190258i | ||||
\(213\) | 1.42943 | + | 9.02506i | 0.0979429 | + | 0.618387i | ||||
\(214\) | 15.9826 | − | 5.19306i | 1.09255 | − | 0.354990i | ||||
\(215\) | −10.8429 | − | 4.61977i | −0.739481 | − | 0.315066i | ||||
\(216\) | −6.45535 | + | 8.88503i | −0.439231 | + | 0.604550i | ||||
\(217\) | 0.0663638 | + | 0.0105110i | 0.00450507 | + | 0.000713533i | ||||
\(218\) | −12.9237 | + | 6.58496i | −0.875304 | + | 0.445990i | ||||
\(219\) | 1.91483 | 0.129392 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −11.4739 | −0.771818 | ||||||||
\(222\) | −5.83644 | + | 2.97381i | −0.391716 | + | 0.199589i | ||||
\(223\) | 20.9939 | + | 3.32511i | 1.40586 | + | 0.222666i | 0.812822 | − | 0.582512i | \(-0.197930\pi\) |
0.593034 | + | 0.805178i | \(0.297930\pi\) | |||||||
\(224\) | −0.196033 | + | 0.269816i | −0.0130980 | + | 0.0180278i | ||||
\(225\) | 10.6396 | − | 5.15389i | 0.709306 | − | 0.343593i | ||||
\(226\) | −5.99617 | + | 1.94827i | −0.398859 | + | 0.129597i | ||||
\(227\) | 2.04462 | + | 12.9092i | 0.135706 | + | 0.856816i | 0.957794 | + | 0.287455i | \(0.0928092\pi\) |
−0.822088 | + | 0.569361i | \(0.807191\pi\) | |||||||
\(228\) | 0.0288106 | − | 0.181903i | 0.00190803 | − | 0.0120468i | ||||
\(229\) | 15.6269 | + | 5.07749i | 1.03265 | + | 0.335530i | 0.775839 | − | 0.630931i | \(-0.217327\pi\) |
0.256816 | + | 0.966460i | \(0.417327\pi\) | |||||||
\(230\) | −0.377812 | − | 5.50946i | −0.0249122 | − | 0.363283i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −17.3363 | + | 17.3363i | −1.13819 | + | 1.13819i | ||||
\(233\) | −7.10204 | − | 13.9385i | −0.465270 | − | 0.913144i | −0.997772 | − | 0.0667155i | \(-0.978748\pi\) |
0.532502 | − | 0.846429i | \(-0.321252\pi\) | |||||||
\(234\) | −6.53961 | − | 9.00101i | −0.427508 | − | 0.588414i | ||||
\(235\) | 26.9467 | − | 6.18297i | 1.75781 | − | 0.403332i | ||||
\(236\) | 0.923891 | + | 2.84344i | 0.0601402 | + | 0.185092i | ||||
\(237\) | 0.242670 | − | 0.476268i | 0.0157631 | − | 0.0309369i | ||||
\(238\) | −1.06549 | + | 0.168757i | −0.0690656 | + | 0.0109389i | ||||
\(239\) | 4.27301 | − | 3.10452i | 0.276398 | − | 0.200815i | −0.440947 | − | 0.897533i | \(-0.645357\pi\) |
0.717345 | + | 0.696718i | \(0.245357\pi\) | |||||||
\(240\) | 6.91948 | − | 4.14498i | 0.446650 | − | 0.267558i | ||||
\(241\) | 16.1676i | 1.04144i | 0.853726 | + | 0.520722i | \(0.174337\pi\) | ||||
−0.853726 | + | 0.520722i | \(0.825663\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.1488 | − | 11.1488i | −0.715198 | − | 0.715198i | ||||
\(244\) | −0.565599 | + | 1.74074i | −0.0362088 | + | 0.111439i | ||||
\(245\) | 9.99247 | + | 11.9411i | 0.638396 | + | 0.762892i | ||||
\(246\) | 6.56468 | + | 4.76952i | 0.418549 | + | 0.304093i | ||||
\(247\) | −2.05153 | − | 1.04531i | −0.130536 | − | 0.0665112i | ||||
\(248\) | 0.802945 | + | 0.409121i | 0.0509870 | + | 0.0259792i | ||||
\(249\) | −10.7600 | − | 7.81762i | −0.681889 | − | 0.495421i | ||||
\(250\) | −16.9750 | + | 0.820947i | −1.07359 | + | 0.0519213i | ||||
\(251\) | 5.97722 | − | 18.3960i | 0.377279 | − | 1.16114i | −0.564649 | − | 0.825331i | \(-0.690989\pi\) |
0.941928 | − | 0.335814i | \(-0.109011\pi\) | |||||||
\(252\) | −0.0994268 | − | 0.0994268i | −0.00626330 | − | 0.00626330i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 22.1431i | − | 1.38938i | ||||||
\(255\) | 6.40899 | + | 1.60710i | 0.401347 | + | 0.100641i | ||||
\(256\) | −5.89265 | + | 4.28126i | −0.368290 | + | 0.267579i | ||||
\(257\) | 4.64818 | − | 0.736199i | 0.289945 | − | 0.0459228i | −0.00976747 | − | 0.999952i | \(-0.503109\pi\) |
0.299713 | + | 0.954029i | \(0.403109\pi\) | |||||||
\(258\) | 2.89983 | − | 5.69124i | 0.180536 | − | 0.354321i | ||||
\(259\) | 0.319823 | + | 0.984314i | 0.0198728 | + | 0.0611623i | ||||
\(260\) | 0.480804 | + | 2.09545i | 0.0298182 | + | 0.129954i | ||||
\(261\) | −13.2685 | − | 18.2625i | −0.821299 | − | 1.13042i | ||||
\(262\) | −6.74170 | − | 13.2313i | −0.416504 | − | 0.817435i | ||||
\(263\) | 11.2218 | − | 11.2218i | 0.691964 | − | 0.691964i | −0.270700 | − | 0.962664i | \(-0.587255\pi\) |
0.962664 | + | 0.270700i | \(0.0872550\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.2216 | + | 13.2679i | 0.935053 | + | 0.815040i | ||||
\(266\) | −0.205884 | − | 0.0668957i | −0.0126235 | − | 0.00410164i | ||||
\(267\) | 0.987968 | − | 6.23779i | 0.0604627 | − | 0.381746i | ||||
\(268\) | −0.284076 | − | 1.79358i | −0.0173527 | − | 0.109560i | ||||
\(269\) | −10.7587 | + | 3.49572i | −0.655971 | + | 0.213138i | −0.618045 | − | 0.786143i | \(-0.712075\pi\) |
−0.0379260 | + | 0.999281i | \(0.512075\pi\) | |||||||
\(270\) | 5.42723 | + | 13.4851i | 0.330291 | + | 0.820674i | ||||
\(271\) | −10.4791 | + | 14.4233i | −0.636563 | + | 0.876153i | −0.998426 | − | 0.0560778i | \(-0.982141\pi\) |
0.361864 | + | 0.932231i | \(0.382141\pi\) | |||||||
\(272\) | −16.5644 | − | 2.62355i | −1.00437 | − | 0.159076i | ||||
\(273\) | 0.421027 | − | 0.214524i | 0.0254817 | − | 0.0129836i | ||||
\(274\) | −6.58205 | −0.397636 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.402300 | 0.0242156 | ||||||||
\(277\) | −4.17132 | + | 2.12539i | −0.250630 | + | 0.127703i | −0.574793 | − | 0.818299i | \(-0.694917\pi\) |
0.324163 | + | 0.946001i | \(0.394917\pi\) | |||||||
\(278\) | 15.7800 | + | 2.49931i | 0.946421 | + | 0.149898i | ||||
\(279\) | −0.487701 | + | 0.671263i | −0.0291979 | + | 0.0401875i | ||||
\(280\) | −0.410498 | − | 1.01997i | −0.0245320 | − | 0.0609547i | ||||
\(281\) | −12.5438 | + | 4.07572i | −0.748298 | + | 0.243137i | −0.658249 | − | 0.752800i | \(-0.728703\pi\) |
−0.0900496 | + | 0.995937i | \(0.528703\pi\) | |||||||
\(282\) | 2.34389 | + | 14.7987i | 0.139577 | + | 0.881252i | ||||
\(283\) | 3.56460 | − | 22.5060i | 0.211893 | − | 1.33784i | −0.620740 | − | 0.784017i | \(-0.713168\pi\) |
0.832633 | − | 0.553825i | \(-0.186832\pi\) | |||||||
\(284\) | −3.38566 | − | 1.10007i | −0.200902 | − | 0.0652771i | ||||
\(285\) | 0.999513 | + | 0.871227i | 0.0592061 | + | 0.0516070i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.906570 | − | 0.906570i | 0.0535131 | − | 0.0535131i | ||||
\(288\) | −1.86974 | − | 3.66956i | −0.110175 | − | 0.216231i | ||||
\(289\) | 1.91721 | + | 2.63881i | 0.112777 | + | 0.155224i | ||||
\(290\) | 7.25726 | + | 31.6287i | 0.426161 | + | 1.85730i | ||||
\(291\) | 0.339722 | + | 1.04556i | 0.0199149 | + | 0.0612916i | ||||
\(292\) | −0.338675 | + | 0.664688i | −0.0198195 | + | 0.0388979i | ||||
\(293\) | 7.13875 | − | 1.13067i | 0.417050 | − | 0.0660543i | 0.0556168 | − | 0.998452i | \(-0.482287\pi\) |
0.361433 | + | 0.932398i | \(0.382287\pi\) | |||||||
\(294\) | −6.82681 | + | 4.95997i | −0.398148 | + | 0.289271i | ||||
\(295\) | −20.8782 | − | 5.23536i | −1.21558 | − | 0.304814i | ||||
\(296\) | 13.8810i | 0.806817i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.19371 | + | 6.19371i | 0.358792 | + | 0.358792i | ||||
\(299\) | 1.55421 | − | 4.78335i | 0.0898821 | − | 0.276629i | ||||
\(300\) | 0.0249371 | − | 1.23780i | 0.00143974 | − | 0.0714645i | ||||
\(301\) | −0.816478 | − | 0.593206i | −0.0470610 | − | 0.0341918i | ||||
\(302\) | 20.2673 | + | 10.3267i | 1.16625 | + | 0.594235i | ||||
\(303\) | 3.42767 | + | 1.74649i | 0.196915 | + | 0.100333i | ||||
\(304\) | −2.72270 | − | 1.97816i | −0.156158 | − | 0.113455i | ||||
\(305\) | −8.45656 | − | 10.1057i | −0.484221 | − | 0.578651i | ||||
\(306\) | 4.11658 | − | 12.6695i | 0.235329 | − | 0.724269i | ||||
\(307\) | 20.1272 | + | 20.1272i | 1.14872 | + | 1.14872i | 0.986804 | + | 0.161918i | \(0.0517681\pi\) |
0.161918 | + | 0.986804i | \(0.448232\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.58088i | 0.146821i | ||||||||
\(310\) | 1.02322 | − | 0.612944i | 0.0581152 | − | 0.0348129i | ||||
\(311\) | 6.08048 | − | 4.41772i | 0.344792 | − | 0.250506i | −0.401889 | − | 0.915688i | \(-0.631646\pi\) |
0.746681 | + | 0.665182i | \(0.231646\pi\) | |||||||
\(312\) | 6.25954 | − | 0.991414i | 0.354377 | − | 0.0561278i | ||||
\(313\) | −0.611109 | + | 1.19937i | −0.0345419 | + | 0.0677923i | −0.907632 | − | 0.419766i | \(-0.862112\pi\) |
0.873091 | + | 0.487558i | \(0.162112\pi\) | |||||||
\(314\) | 2.32426 | + | 7.15333i | 0.131165 | + | 0.403686i | ||||
\(315\) | 0.986673 | − | 0.226394i | 0.0555927 | − | 0.0127559i | ||||
\(316\) | 0.122404 | + | 0.168475i | 0.00688577 | + | 0.00947745i | ||||
\(317\) | −5.14460 | − | 10.0968i | −0.288949 | − | 0.567095i | 0.700211 | − | 0.713936i | \(-0.253089\pi\) |
−0.989160 | + | 0.146841i | \(0.953089\pi\) | |||||||
\(318\) | −7.73803 | + | 7.73803i | −0.433927 | + | 0.433927i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.979335 | − | 14.2812i | −0.0547465 | − | 0.798342i | ||||
\(321\) | −8.38237 | − | 2.72360i | −0.467859 | − | 0.152016i | ||||
\(322\) | 0.0739738 | − | 0.467052i | 0.00412240 | − | 0.0260278i | ||||
\(323\) | −0.431270 | − | 2.72293i | −0.0239965 | − | 0.151508i | ||||
\(324\) | 1.08816 | − | 0.353566i | 0.0604536 | − | 0.0196426i | ||||
\(325\) | −14.6211 | − | 5.07850i | −0.811035 | − | 0.281704i | ||||
\(326\) | 8.94960 | − | 12.3181i | 0.495673 | − | 0.682235i | ||||
\(327\) | 7.51356 | + | 1.19003i | 0.415501 | + | 0.0658089i | ||||
\(328\) | 15.3211 | − | 7.80650i | 0.845967 | − | 0.431042i | ||||
\(329\) | 2.36737 | 0.130517 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.7048 | −0.973145 | −0.486572 | − | 0.873640i | \(-0.661753\pi\) | ||||
−0.486572 | + | 0.873640i | \(0.661753\pi\) | |||||||
\(332\) | 4.61683 | − | 2.35239i | 0.253381 | − | 0.129104i | ||||
\(333\) | −12.6232 | − | 1.99933i | −0.691750 | − | 0.109562i | ||||
\(334\) | 10.7773 | − | 14.8336i | 0.589706 | − | 0.811660i | ||||
\(335\) | 12.0275 | + | 5.12448i | 0.657133 | + | 0.279980i | ||||
\(336\) | 0.656873 | − | 0.213431i | 0.0358354 | − | 0.0116436i | ||||
\(337\) | 1.19204 | + | 7.52627i | 0.0649348 | + | 0.409982i | 0.998649 | + | 0.0519628i | \(0.0165477\pi\) |
−0.933714 | + | 0.358019i | \(0.883452\pi\) | |||||||
\(338\) | 0.812588 | − | 5.13048i | 0.0441989 | − | 0.279061i | ||||
\(339\) | 3.14480 | + | 1.02181i | 0.170802 | + | 0.0554970i | ||||
\(340\) | −1.69143 | + | 1.94049i | −0.0917305 | + | 0.105238i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 1.89027 | − | 1.89027i | 0.102214 | − | 0.102214i | ||||
\(343\) | 1.21378 | + | 2.38217i | 0.0655378 | + | 0.128625i | ||||
\(344\) | −7.95607 | − | 10.9506i | −0.428963 | − | 0.590416i | ||||
\(345\) | −1.53812 | + | 2.45416i | −0.0828096 | + | 0.132127i | ||||
\(346\) | 5.85517 | + | 18.0203i | 0.314776 | + | 0.968780i | ||||
\(347\) | −4.23741 | + | 8.31639i | −0.227476 | + | 0.446447i | −0.976329 | − | 0.216289i | \(-0.930605\pi\) |
0.748853 | + | 0.662736i | \(0.230605\pi\) | |||||||
\(348\) | −2.33488 | + | 0.369809i | −0.125163 | + | 0.0198239i | ||||
\(349\) | −1.21496 | + | 0.882720i | −0.0650353 | + | 0.0472509i | −0.619828 | − | 0.784738i | \(-0.712798\pi\) |
0.554793 | + | 0.831989i | \(0.312798\pi\) | |||||||
\(350\) | −1.43245 | − | 0.256554i | −0.0765675 | − | 0.0137134i | ||||
\(351\) | 13.2388i | 0.706637i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 4.40229 | + | 4.40229i | 0.234310 | + | 0.234310i | 0.814489 | − | 0.580179i | \(-0.197017\pi\) |
−0.580179 | + | 0.814489i | \(0.697017\pi\) | |||||||
\(354\) | 3.60475 | − | 11.0943i | 0.191590 | − | 0.589654i | ||||
\(355\) | 19.6552 | − | 16.4477i | 1.04319 | − | 0.872952i | ||||
\(356\) | 1.99056 | + | 1.44623i | 0.105500 | + | 0.0766499i | ||||
\(357\) | 0.504116 | + | 0.256860i | 0.0266807 | + | 0.0135945i | ||||
\(358\) | −27.3295 | − | 13.9251i | −1.44441 | − | 0.735964i | ||||
\(359\) | −21.2806 | − | 15.4612i | −1.12315 | − | 0.816013i | −0.138463 | − | 0.990368i | \(-0.544216\pi\) |
−0.984683 | + | 0.174355i | \(0.944216\pi\) | |||||||
\(360\) | 13.5239 | + | 1.20152i | 0.712770 | + | 0.0633255i | ||||
\(361\) | −5.70037 | + | 17.5439i | −0.300019 | + | 0.923364i | ||||
\(362\) | 4.95475 | + | 4.95475i | 0.260416 | + | 0.260416i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.184093i | 0.00964908i | ||||||||
\(365\) | −2.75994 | − | 4.60733i | −0.144462 | − | 0.241159i | ||||
\(366\) | 5.77748 | − | 4.19759i | 0.301994 | − | 0.219411i | ||||
\(367\) | −8.06852 | + | 1.27793i | −0.421173 | + | 0.0667073i | −0.363424 | − | 0.931624i | \(-0.618392\pi\) |
−0.0577492 | + | 0.998331i | \(0.518392\pi\) | |||||||
\(368\) | 3.33748 | − | 6.55018i | 0.173978 | − | 0.341452i | ||||
\(369\) | 4.89241 | + | 15.0573i | 0.254688 | + | 0.783850i | ||||
\(370\) | 15.5677 | + | 9.75695i | 0.809328 | + | 0.507240i | ||||
\(371\) | 1.01631 | + | 1.39883i | 0.0527640 | + | 0.0726234i | ||||
\(372\) | 0.0394479 | + | 0.0774210i | 0.00204528 | + | 0.00401409i | ||||
\(373\) | 6.12473 | − | 6.12473i | 0.317126 | − | 0.317126i | −0.530536 | − | 0.847662i | \(-0.678009\pi\) |
0.847662 | + | 0.530536i | \(0.178009\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.45563 | + | 4.88463i | 0.385007 | + | 0.252241i | ||||
\(376\) | 30.1971 | + | 9.81162i | 1.55730 | + | 0.505996i | ||||
\(377\) | −4.62332 | + | 29.1905i | −0.238113 | + | 1.50339i | ||||
\(378\) | 0.194716 | + | 1.22939i | 0.0100151 | + | 0.0632330i | ||||
\(379\) | −0.588124 | + | 0.191093i | −0.0302099 | + | 0.00981580i | −0.324083 | − | 0.946029i | \(-0.605056\pi\) |
0.293873 | + | 0.955844i | \(0.405056\pi\) | |||||||
\(380\) | −0.479210 | + | 0.192864i | −0.0245830 | + | 0.00989371i | ||||
\(381\) | −6.82615 | + | 9.39539i | −0.349714 | + | 0.481340i | ||||
\(382\) | −9.49797 | − | 1.50433i | −0.485959 | − | 0.0769683i | ||||
\(383\) | −9.24766 | + | 4.71192i | −0.472533 | + | 0.240768i | −0.674005 | − | 0.738726i | \(-0.735428\pi\) |
0.201472 | + | 0.979494i | \(0.435428\pi\) | |||||||
\(384\) | 10.5351 | 0.537617 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.01683 | 0.458945 | ||||||||
\(387\) | 11.1043 | − | 5.65792i | 0.564463 | − | 0.287608i | ||||
\(388\) | −0.423027 | − | 0.0670010i | −0.0214760 | − | 0.00340146i | ||||
\(389\) | 13.0176 | − | 17.9172i | 0.660020 | − | 0.908440i | −0.339462 | − | 0.940620i | \(-0.610245\pi\) |
0.999482 | + | 0.0321799i | \(0.0102449\pi\) | |||||||
\(390\) | 3.28794 | − | 7.71703i | 0.166491 | − | 0.390767i | ||||
\(391\) | 5.72734 | − | 1.86093i | 0.289644 | − | 0.0941111i | ||||
\(392\) | 2.79735 | + | 17.6618i | 0.141287 | + | 0.892053i | ||||
\(393\) | −1.21836 | + | 7.69241i | −0.0614580 | + | 0.388031i | ||||
\(394\) | 20.2509 | + | 6.57991i | 1.02022 | + | 0.331491i | ||||
\(395\) | −1.49574 | + | 0.102571i | −0.0752587 | + | 0.00516089i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.7769 | − | 10.7769i | 0.540876 | − | 0.540876i | −0.382910 | − | 0.923786i | \(-0.625078\pi\) |
0.923786 | + | 0.382910i | \(0.125078\pi\) | |||||||
\(398\) | 9.23538 | + | 18.1254i | 0.462928 | + | 0.908547i | ||||
\(399\) | 0.0667351 | + | 0.0918529i | 0.00334093 | + | 0.00459840i | ||||
\(400\) | −19.9468 | − | 10.6748i | −0.997339 | − | 0.533741i | ||||
\(401\) | −1.32312 | − | 4.07216i | −0.0660737 | − | 0.203354i | 0.912569 | − | 0.408923i | \(-0.134096\pi\) |
−0.978643 | + | 0.205569i | \(0.934096\pi\) | |||||||
\(402\) | −3.21664 | + | 6.31301i | −0.160431 | + | 0.314864i | ||||
\(403\) | 1.07294 | − | 0.169936i | 0.0534467 | − | 0.00846513i | ||||
\(404\) | −1.21250 | + | 0.880936i | −0.0603243 | + | 0.0438282i | ||||
\(405\) | −2.00353 | + | 7.98993i | −0.0995564 | + | 0.397023i | ||||
\(406\) | 2.77869i | 0.137904i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 5.36572 | + | 5.36572i | 0.265643 | + | 0.265643i | ||||
\(409\) | −1.32742 | + | 4.08538i | −0.0656367 | + | 0.202009i | −0.978496 | − | 0.206265i | \(-0.933869\pi\) |
0.912859 | + | 0.408274i | \(0.133869\pi\) | |||||||
\(410\) | 2.01410 | − | 22.6700i | 0.0994695 | − | 1.11959i | ||||
\(411\) | 2.79279 | + | 2.02908i | 0.137758 | + | 0.100087i | ||||
\(412\) | −0.895894 | − | 0.456481i | −0.0441375 | − | 0.0224892i | ||||
\(413\) | −1.64223 | − | 0.836758i | −0.0808088 | − | 0.0411742i | ||||
\(414\) | 4.72419 | + | 3.43232i | 0.232181 | + | 0.168689i | ||||
\(415\) | −3.30128 | + | 37.1580i | −0.162053 | + | 1.82402i | ||||
\(416\) | −1.66623 | + | 5.12812i | −0.0816935 | + | 0.251427i | ||||
\(417\) | −5.92504 | − | 5.92504i | −0.290151 | − | 0.290151i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 1.20241i | − | 0.0587414i | −0.999569 | − | 0.0293707i | \(-0.990650\pi\) | ||
0.999569 | − | 0.0293707i | \(-0.00935032\pi\) | |||||||
\(420\) | 0.0257851 | − | 0.102829i | 0.00125818 | − | 0.00501754i | ||||
\(421\) | −25.3293 | + | 18.4028i | −1.23447 | + | 0.896898i | −0.997217 | − | 0.0745484i | \(-0.976248\pi\) |
−0.237257 | + | 0.971447i | \(0.576248\pi\) | |||||||
\(422\) | 8.90656 | − | 1.41066i | 0.433565 | − | 0.0686699i | ||||
\(423\) | −13.2720 | + | 26.0477i | −0.645306 | + | 1.26648i | ||||
\(424\) | 7.16608 | + | 22.0549i | 0.348016 | + | 1.07108i | ||||
\(425\) | −5.37070 | − | 17.7373i | −0.260517 | − | 0.860385i | ||||
\(426\) | 8.16414 | + | 11.2370i | 0.395554 | + | 0.544433i | ||||
\(427\) | −0.512257 | − | 1.00536i | −0.0247899 | − | 0.0486529i | ||||
\(428\) | 2.42802 | − | 2.42802i | 0.117363 | − | 0.117363i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −17.8736 | + | 1.22568i | −0.861940 | + | 0.0591078i | ||||
\(431\) | −9.40717 | − | 3.05658i | −0.453128 | − | 0.147230i | 0.0735568 | − | 0.997291i | \(-0.476565\pi\) |
−0.526684 | + | 0.850061i | \(0.676565\pi\) | |||||||
\(432\) | −3.02711 | + | 19.1124i | −0.145642 | + | 0.919547i | ||||
\(433\) | 4.22096 | + | 26.6501i | 0.202846 | + | 1.28072i | 0.853398 | + | 0.521260i | \(0.174538\pi\) |
−0.650552 | + | 0.759462i | \(0.725462\pi\) | |||||||
\(434\) | 0.0971358 | − | 0.0315613i | 0.00466267 | − | 0.00151499i | ||||
\(435\) | 6.67104 | − | 15.6574i | 0.319852 | − | 0.750715i | ||||
\(436\) | −1.74201 | + | 2.39768i | −0.0834274 | + | 0.114828i | ||||
\(437\) | 1.19358 | + | 0.189045i | 0.0570968 | + | 0.00904324i | ||||
\(438\) | 2.59342 | − | 1.32141i | 0.123918 | − | 0.0631395i | ||||
\(439\) | −24.5862 | −1.17344 | −0.586718 | − | 0.809791i | \(-0.699580\pi\) | ||||
−0.586718 | + | 0.809791i | \(0.699580\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −16.4643 | −0.784016 | ||||||||
\(442\) | −15.5401 | + | 7.91807i | −0.739166 | + | 0.376624i | ||||
\(443\) | −30.4180 | − | 4.81773i | −1.44520 | − | 0.228897i | −0.615955 | − | 0.787781i | \(-0.711230\pi\) |
−0.829246 | + | 0.558884i | \(0.811230\pi\) | |||||||
\(444\) | −0.786706 | + | 1.08281i | −0.0373354 | + | 0.0513878i | ||||
\(445\) | −16.4330 | + | 6.61365i | −0.778997 | + | 0.313517i | ||||
\(446\) | 30.7285 | − | 9.98429i | 1.45504 | − | 0.472770i | ||||
\(447\) | −0.718651 | − | 4.53738i | −0.0339910 | − | 0.214611i | ||||
\(448\) | 0.191749 | − | 1.21066i | 0.00905929 | − | 0.0571981i | ||||
\(449\) | −6.96621 | − | 2.26346i | −0.328756 | − | 0.106819i | 0.139988 | − | 0.990153i | \(-0.455293\pi\) |
−0.468744 | + | 0.883334i | \(0.655293\pi\) | |||||||
\(450\) | 10.8534 | − | 14.3227i | 0.511636 | − | 0.675177i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −0.910918 | + | 0.910918i | −0.0428460 | + | 0.0428460i | ||||
\(453\) | −5.41603 | − | 10.6296i | −0.254467 | − | 0.499421i | ||||
\(454\) | 11.6778 | + | 16.0731i | 0.548066 | + | 0.754348i | ||||
\(455\) | −1.12302 | − | 0.703844i | −0.0526481 | − | 0.0329967i | ||||
\(456\) | 0.470556 | + | 1.44822i | 0.0220358 | + | 0.0678192i | ||||
\(457\) | −3.05789 | + | 6.00144i | −0.143042 | + | 0.280736i | −0.951401 | − | 0.307954i | \(-0.900356\pi\) |
0.808359 | + | 0.588689i | \(0.200356\pi\) | |||||||
\(458\) | 24.6688 | − | 3.90715i | 1.15270 | − | 0.182569i | ||||
\(459\) | −12.8241 | + | 9.31728i | −0.598579 | + | 0.434893i | ||||
\(460\) | −0.579856 | − | 0.967989i | −0.0270359 | − | 0.0451327i | ||||
\(461\) | − | 29.0801i | − | 1.35440i | −0.735801 | − | 0.677198i | \(-0.763194\pi\) | ||
0.735801 | − | 0.677198i | \(-0.236806\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 17.5146 | + | 17.5146i | 0.813970 | + | 0.813970i | 0.985227 | − | 0.171256i | \(-0.0547826\pi\) |
−0.171256 | + | 0.985227i | \(0.554783\pi\) | |||||||
\(464\) | −13.3490 | + | 41.0841i | −0.619713 | + | 1.90728i | ||||
\(465\) | −0.623113 | − | 0.0553600i | −0.0288962 | − | 0.00256726i | ||||
\(466\) | −19.2378 | − | 13.9771i | −0.891174 | − | 0.647476i | ||||
\(467\) | 23.5740 | + | 12.0115i | 1.09087 | + | 0.555828i | 0.904423 | − | 0.426636i | \(-0.140302\pi\) |
0.186451 | + | 0.982464i | \(0.440302\pi\) | |||||||
\(468\) | −2.02554 | − | 1.03206i | −0.0936307 | − | 0.0477072i | ||||
\(469\) | 0.905678 | + | 0.658014i | 0.0418203 | + | 0.0303842i | ||||
\(470\) | 32.2294 | − | 26.9699i | 1.48663 | − | 1.24403i | ||||
\(471\) | 1.21900 | − | 3.75170i | 0.0561686 | − | 0.172869i | ||||
\(472\) | −17.4796 | − | 17.4796i | −0.804563 | − | 0.804563i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 0.812515i | − | 0.0373201i | ||||||
\(475\) | 0.655641 | − | 3.66071i | 0.0300829 | − | 0.167965i | ||||
\(476\) | −0.178326 | + | 0.129561i | −0.00817356 | + | 0.00593844i | ||||
\(477\) | −21.0887 | + | 3.34012i | −0.965585 | + | 0.152934i | ||||
\(478\) | 3.64489 | − | 7.15350i | 0.166713 | − | 0.327194i | ||||
\(479\) | −8.11328 | − | 24.9701i | −0.370705 | − | 1.14091i | −0.946331 | − | 0.323200i | \(-0.895241\pi\) |
0.575625 | − | 0.817714i | \(-0.304759\pi\) | |||||||
\(480\) | 1.64898 | − | 2.63104i | 0.0752654 | − | 0.120090i | ||||
\(481\) | 9.83531 | + | 13.5371i | 0.448452 | + | 0.617241i | ||||
\(482\) | 11.1571 | + | 21.8971i | 0.508193 | + | 0.997386i | ||||
\(483\) | −0.175368 | + | 0.175368i | −0.00797952 | + | 0.00797952i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.02609 | − | 2.32443i | 0.0920001 | − | 0.105547i | ||||
\(486\) | −22.7936 | − | 7.40608i | −1.03394 | − | 0.335946i | ||||
\(487\) | 3.65041 | − | 23.0478i | 0.165416 | − | 1.04440i | −0.755646 | − | 0.654980i | \(-0.772677\pi\) |
0.921062 | − | 0.389416i | \(-0.127323\pi\) | |||||||
\(488\) | −2.36738 | − | 14.9470i | −0.107166 | − | 0.676620i | ||||
\(489\) | −7.59471 | + | 2.46767i | −0.343445 | + | 0.111592i | ||||
\(490\) | 21.7742 | + | 9.27717i | 0.983657 | + | 0.419100i | ||||
\(491\) | −10.7845 | + | 14.8436i | −0.486697 | + | 0.669881i | −0.979775 | − | 0.200104i | \(-0.935872\pi\) |
0.493077 | + | 0.869985i | \(0.335872\pi\) | |||||||
\(492\) | 1.63758 | + | 0.259367i | 0.0738278 | + | 0.0116932i | ||||
\(493\) | −31.5299 | + | 16.0653i | −1.42004 | + | 0.723544i | ||||
\(494\) | −3.49992 | −0.157469 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.58781 | 0.0712949 | ||||||||
\(497\) | 1.95539 | − | 0.996321i | 0.0877112 | − | 0.0446911i | ||||
\(498\) | −19.9681 | − | 3.16264i | −0.894793 | − | 0.141721i | ||||
\(499\) | −6.91112 | + | 9.51235i | −0.309384 | + | 0.425831i | −0.935189 | − | 0.354149i | \(-0.884771\pi\) |
0.625805 | + | 0.779980i | \(0.284771\pi\) | |||||||
\(500\) | −3.01426 | + | 1.72410i | −0.134802 | + | 0.0771043i | ||||
\(501\) | −9.14567 | + | 2.97161i | −0.408599 | + | 0.132762i | ||||
\(502\) | −4.59950 | − | 29.0401i | −0.205286 | − | 1.29612i | ||||
\(503\) | −0.835461 | + | 5.27489i | −0.0372514 | + | 0.235196i | −0.999288 | − | 0.0377237i | \(-0.987989\pi\) |
0.962037 | + | 0.272920i | \(0.0879893\pi\) | |||||||
\(504\) | 1.10569 | + | 0.359260i | 0.0492513 | + | 0.0160027i | ||||
\(505\) | −0.738195 | − | 10.7647i | −0.0328492 | − | 0.479025i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −1.92638 | + | 1.92638i | −0.0855536 | + | 0.0855536i | ||||
\(508\) | −2.05405 | − | 4.03130i | −0.0911337 | − | 0.178860i | ||||
\(509\) | 11.5130 | + | 15.8462i | 0.510303 | + | 0.702371i | 0.983970 | − | 0.178332i | \(-0.0570702\pi\) |
−0.473668 | + | 0.880704i | \(0.657070\pi\) | |||||||
\(510\) | 9.78930 | − | 2.24617i | 0.433477 | − | 0.0994622i | ||||
\(511\) | −0.142113 | − | 0.437379i | −0.00628671 | − | 0.0193485i | ||||
\(512\) | 6.97225 | − | 13.6838i | 0.308133 | − | 0.604745i | ||||
\(513\) | −3.14178 | + | 0.497609i | −0.138713 | + | 0.0219700i | ||||
\(514\) | 5.78738 | − | 4.20478i | 0.255270 | − | 0.185465i | ||||
\(515\) | 6.20996 | − | 3.71996i | 0.273643 | − | 0.163921i | ||||
\(516\) | − | 1.30513i | − | 0.0574550i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 1.11243 | + | 1.11243i | 0.0488775 | + | 0.0488775i | ||||
\(519\) | 3.07085 | − | 9.45111i | 0.134795 | − | 0.414858i | ||||
\(520\) | −11.4077 | − | 13.6323i | −0.500259 | − | 0.597817i | ||||
\(521\) | −15.1561 | − | 11.0116i | −0.664003 | − | 0.482426i | 0.204010 | − | 0.978969i | \(-0.434603\pi\) |
−0.868012 | + | 0.496543i | \(0.834603\pi\) | |||||||
\(522\) | −30.5735 | − | 15.5780i | −1.33817 | − | 0.681830i | ||||
\(523\) | −2.30085 | − | 1.17234i | −0.100609 | − | 0.0512628i | 0.402962 | − | 0.915217i | \(-0.367981\pi\) |
−0.503571 | + | 0.863954i | \(0.667981\pi\) | |||||||
\(524\) | −2.45475 | − | 1.78348i | −0.107236 | − | 0.0779117i | ||||
\(525\) | 0.528704 | + | 0.550444i | 0.0230745 | + | 0.0240234i | ||||
\(526\) | 7.45453 | − | 22.9427i | 0.325033 | − | 1.00035i | ||||
\(527\) | 0.919727 | + | 0.919727i | 0.0400639 | + | 0.0400639i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 20.3603i | − | 0.885228i | ||||||
\(530\) | 29.7720 | + | 7.46554i | 1.29321 | + | 0.324282i | ||||
\(531\) | 18.4134 | − | 13.3781i | 0.799074 | − | 0.580561i | ||||
\(532\) | −0.0436880 | + | 0.00691951i | −0.00189412 | + | 0.000299999i | ||||
\(533\) | 9.41034 | − | 18.4688i | 0.407607 | − | 0.799974i | ||||
\(534\) | −2.96657 | − | 9.13016i | −0.128376 | − | 0.395101i | ||||
\(535\) | 5.52859 | + | 24.0948i | 0.239022 | + | 1.04171i | ||||
\(536\) | 8.82527 | + | 12.1469i | 0.381194 | + | 0.524668i | ||||
\(537\) | 7.30328 | + | 14.3335i | 0.315160 | + | 0.618536i | ||||
\(538\) | −12.1591 | + | 12.1591i | −0.524216 | + | 0.524216i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.23898 | + | 1.95161i | 0.0963502 | + | 0.0839837i | ||||
\(541\) | 8.78315 | + | 2.85382i | 0.377617 | + | 0.122695i | 0.491675 | − | 0.870779i | \(-0.336385\pi\) |
−0.114058 | + | 0.993474i | \(0.536385\pi\) | |||||||
\(542\) | −4.23937 | + | 26.7663i | −0.182096 | + | 1.14971i | ||||
\(543\) | −0.574895 | − | 3.62974i | −0.0246711 | − | 0.155767i | ||||
\(544\) | −6.14015 | + | 1.99505i | −0.263257 | + | 0.0855372i | ||||
\(545\) | −7.96630 | − | 19.7939i | −0.341239 | − | 0.847877i | ||||
\(546\) | 0.422192 | − | 0.581097i | 0.0180681 | − | 0.0248686i | ||||
\(547\) | −1.05784 | − | 0.167546i | −0.0452301 | − | 0.00716375i | 0.133778 | − | 0.991011i | \(-0.457289\pi\) |
−0.179009 | + | 0.983848i | \(0.557289\pi\) | |||||||
\(548\) | −1.19831 | + | 0.610569i | −0.0511892 | + | 0.0260822i | ||||
\(549\) | 13.9337 | 0.594674 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.10113 | −0.302518 | ||||||||
\(552\) | −2.96374 | + | 1.51010i | −0.126145 | + | 0.0642741i | ||||
\(553\) | −0.126798 | − | 0.0200828i | −0.00539200 | − | 0.000854008i | ||||
\(554\) | −4.18286 | + | 5.75721i | −0.177713 | + | 0.244600i | ||||
\(555\) | −3.59763 | − | 8.93906i | −0.152711 | − | 0.379442i | ||||
\(556\) | 3.10470 | − | 1.00878i | 0.131669 | − | 0.0427818i | ||||
\(557\) | −6.73247 | − | 42.5071i | −0.285264 | − | 1.80108i | −0.548282 | − | 0.836294i | \(-0.684718\pi\) |
0.263018 | − | 0.964791i | \(-0.415282\pi\) | |||||||
\(558\) | −0.197301 | + | 1.24571i | −0.00835241 | + | 0.0527351i | ||||
\(559\) | −15.5180 | − | 5.04210i | −0.656340 | − | 0.213258i | ||||
\(560\) | −1.46033 | − | 1.27290i | −0.0617102 | − | 0.0537897i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −14.1765 | + | 14.1765i | −0.597998 | + | 0.597998i | ||||
\(563\) | −11.7412 | − | 23.0435i | −0.494834 | − | 0.971166i | −0.994479 | − | 0.104936i | \(-0.966536\pi\) |
0.499645 | − | 0.866230i | \(-0.333464\pi\) | |||||||
\(564\) | 1.79949 | + | 2.47679i | 0.0757723 | + | 0.104292i | ||||
\(565\) | −2.07415 | − | 9.03960i | −0.0872603 | − | 0.380299i | ||||
\(566\) | −10.7034 | − | 32.9417i | −0.449898 | − | 1.38464i | ||||
\(567\) | −0.320221 | + | 0.628469i | −0.0134480 | + | 0.0263932i | ||||
\(568\) | 29.0714 | − | 4.60445i | 1.21981 | − | 0.193199i | ||||
\(569\) | −21.9823 | + | 15.9711i | −0.921548 | + | 0.669544i | −0.943909 | − | 0.330206i | \(-0.892882\pi\) |
0.0223611 | + | 0.999750i | \(0.492882\pi\) | |||||||
\(570\) | 1.95495 | + | 0.490219i | 0.0818840 | + | 0.0205330i | ||||
\(571\) | − | 40.5475i | − | 1.69686i | −0.529308 | − | 0.848430i | \(-0.677549\pi\) | ||
0.529308 | − | 0.848430i | \(-0.322451\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.56628 | + | 3.56628i | 0.148984 | + | 0.148984i | ||||
\(574\) | 0.602227 | − | 1.85346i | 0.0251365 | − | 0.0773621i | ||||
\(575\) | 8.12200 | + | 0.163628i | 0.338711 | + | 0.00682375i | ||||
\(576\) | 12.2457 | + | 8.89699i | 0.510236 | + | 0.370708i | ||||
\(577\) | −30.1231 | − | 15.3485i | −1.25404 | − | 0.638965i | −0.304470 | − | 0.952522i | \(-0.598479\pi\) |
−0.949570 | + | 0.313556i | \(0.898479\pi\) | |||||||
\(578\) | 4.41767 | + | 2.25092i | 0.183751 | + | 0.0936257i | ||||
\(579\) | −3.82588 | − | 2.77966i | −0.158998 | − | 0.115519i | ||||
\(580\) | 4.25520 | + | 5.08502i | 0.176687 | + | 0.211144i | ||||
\(581\) | −0.987098 | + | 3.03798i | −0.0409517 | + | 0.126036i | ||||
\(582\) | 1.18165 | + | 1.18165i | 0.0489808 | + | 0.0489808i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 6.16801i | − | 0.255234i | ||||||
\(585\) | 14.0402 | − | 8.41052i | 0.580490 | − | 0.347732i | ||||
\(586\) | 8.88835 | − | 6.45777i | 0.367175 | − | 0.266768i | ||||
\(587\) | −9.56487 | + | 1.51493i | −0.394784 | + | 0.0625277i | −0.350671 | − | 0.936499i | \(-0.614046\pi\) |
−0.0441136 | + | 0.999027i | \(0.514046\pi\) | |||||||
\(588\) | −0.782769 | + | 1.53627i | −0.0322808 | + | 0.0633547i | ||||
\(589\) | 0.0806570 | + | 0.248237i | 0.00332341 | + | 0.0102284i | ||||
\(590\) | −31.8900 | + | 7.31722i | −1.31289 | + | 0.301245i | ||||
\(591\) | −6.56411 | − | 9.03472i | −0.270011 | − | 0.371639i | ||||
\(592\) | 11.1036 | + | 21.7920i | 0.456353 | + | 0.895644i | ||||
\(593\) | −14.0452 | + | 14.0452i | −0.576769 | + | 0.576769i | −0.934012 | − | 0.357243i | \(-0.883717\pi\) |
0.357243 | + | 0.934012i | \(0.383717\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.108568 | − | 1.58320i | −0.00445086 | − | 0.0649048i | ||||
\(596\) | 1.70215 | + | 0.553064i | 0.0697230 | + | 0.0226544i | ||||
\(597\) | 1.66901 | − | 10.5377i | 0.0683082 | − | 0.431281i | ||||
\(598\) | −1.19597 | − | 7.55106i | −0.0489068 | − | 0.308786i | ||||
\(599\) | 4.29480 | − | 1.39547i | 0.175481 | − | 0.0570172i | −0.219959 | − | 0.975509i | \(-0.570592\pi\) |
0.395440 | + | 0.918492i | \(0.370592\pi\) | |||||||
\(600\) | 4.46258 | + | 9.21246i | 0.182184 | + | 0.376097i | ||||
\(601\) | 4.92416 | − | 6.77753i | 0.200861 | − | 0.276461i | −0.696690 | − | 0.717372i | \(-0.745345\pi\) |
0.897551 | + | 0.440911i | \(0.145345\pi\) | |||||||
\(602\) | −1.51519 | − | 0.239983i | −0.0617547 | − | 0.00978098i | ||||
\(603\) | −12.3174 | + | 6.27605i | −0.501605 | + | 0.255581i | ||||
\(604\) | 4.64774 | 0.189114 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 5.84763 | 0.237544 | ||||||||
\(607\) | −6.84185 | + | 3.48610i | −0.277702 | + | 0.141496i | −0.587295 | − | 0.809373i | \(-0.699807\pi\) |
0.309593 | + | 0.950869i | \(0.399807\pi\) | |||||||
\(608\) | −1.27961 | − | 0.202670i | −0.0518950 | − | 0.00821937i | ||||
\(609\) | 0.856602 | − | 1.17901i | 0.0347113 | − | 0.0477760i | ||||
\(610\) | −18.4273 | − | 7.85121i | −0.746101 | − | 0.317886i | ||||
\(611\) | 36.4010 | − | 11.8274i | 1.47263 | − | 0.478486i | ||||
\(612\) | −0.425807 | − | 2.68844i | −0.0172122 | − | 0.108674i | ||||
\(613\) | 6.71517 | − | 42.3979i | 0.271223 | − | 1.71243i | −0.356750 | − | 0.934200i | \(-0.616115\pi\) |
0.627973 | − | 0.778235i | \(-0.283885\pi\) | |||||||
\(614\) | 41.1497 | + | 13.3704i | 1.66067 | + | 0.539584i | ||||
\(615\) | −7.84320 | + | 8.99810i | −0.316268 | + | 0.362838i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 33.4407 | − | 33.4407i | 1.34627 | − | 1.34627i | 0.456601 | − | 0.889671i | \(-0.349067\pi\) |
0.889671 | − | 0.456601i | \(-0.150933\pi\) | |||||||
\(618\) | 1.78105 | + | 3.49551i | 0.0716444 | + | 0.140610i | ||||
\(619\) | 12.4023 | + | 17.0703i | 0.498492 | + | 0.686115i | 0.981926 | − | 0.189266i | \(-0.0606108\pi\) |
−0.483434 | + | 0.875381i | \(0.660611\pi\) | |||||||
\(620\) | 0.129427 | − | 0.206508i | 0.00519791 | − | 0.00829355i | ||||
\(621\) | −2.14718 | − | 6.60834i | −0.0861633 | − | 0.265183i | ||||
\(622\) | 5.18667 | − | 10.1794i | 0.207966 | − | 0.408157i | ||||
\(623\) | −1.49814 | + | 0.237282i | −0.0600217 | + | 0.00950651i | ||||
\(624\) | 9.03389 | − | 6.56351i | 0.361645 | − | 0.262751i | ||||
\(625\) | 1.00690 | − | 24.9797i | 0.0402761 | − | 0.999189i | ||||
\(626\) | 2.04613i | 0.0817798i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.08671 | + | 1.08671i | 0.0433645 | + | 0.0433645i | ||||
\(629\) | −6.19116 | + | 19.0544i | −0.246858 | + | 0.759750i | ||||
\(630\) | 1.18010 | − | 0.987522i | 0.0470164 | − | 0.0393438i | ||||
\(631\) | 22.8304 | + | 16.5872i | 0.908863 | + | 0.660327i | 0.940727 | − | 0.339165i | \(-0.110144\pi\) |
−0.0318642 | + | 0.999492i | \(0.510144\pi\) | |||||||
\(632\) | −1.53414 | − | 0.781686i | −0.0610250 | − | 0.0310938i | ||||
\(633\) | −4.21396 | − | 2.14712i | −0.167490 | − | 0.0853404i | ||||
\(634\) | −13.9355 | − | 10.1248i | −0.553451 | − | 0.402106i | ||||
\(635\) | 32.4454 | + | 2.88259i | 1.28756 | + | 0.114392i | ||||
\(636\) | −0.690963 | + | 2.12656i | −0.0273985 | + | 0.0843238i | ||||
\(637\) | 15.2422 | + | 15.2422i | 0.603918 | + | 0.603918i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 27.1004i | 1.07208i | ||||||||
\(640\) | −15.1848 | − | 25.3489i | −0.600230 | − | 1.00200i | ||||
\(641\) | 13.7037 | − | 9.95634i | 0.541265 | − | 0.393252i | −0.283290 | − | 0.959034i | \(-0.591426\pi\) |
0.824554 | + | 0.565783i | \(0.191426\pi\) | |||||||
\(642\) | −13.2325 | + | 2.09582i | −0.522245 | + | 0.0827156i | ||||
\(643\) | 2.84908 | − | 5.59164i | 0.112357 | − | 0.220513i | −0.827980 | − | 0.560758i | \(-0.810510\pi\) |
0.940337 | + | 0.340245i | \(0.110510\pi\) | |||||||
\(644\) | −0.0298576 | − | 0.0918922i | −0.00117655 | − | 0.00362106i | ||||
\(645\) | 7.96168 | + | 4.98991i | 0.313491 | + | 0.196478i | ||||
\(646\) | −2.46318 | − | 3.39028i | −0.0969127 | − | 0.133389i | ||||
\(647\) | −19.7428 | − | 38.7473i | −0.776168 | − | 1.52331i | −0.850437 | − | 0.526077i | \(-0.823662\pi\) |
0.0742694 | − | 0.997238i | \(-0.476338\pi\) | |||||||
\(648\) | −6.68931 | + | 6.68931i | −0.262781 | + | 0.262781i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −23.3073 | + | 3.21171i | −0.914188 | + | 0.125974i | ||||
\(651\) | −0.0509447 | − | 0.0165529i | −0.00199668 | − | 0.000648761i | ||||
\(652\) | 0.486681 | − | 3.07278i | 0.0190599 | − | 0.120339i | ||||
\(653\) | −1.52227 | − | 9.61123i | −0.0595710 | − | 0.376117i | −0.999405 | − | 0.0344856i | \(-0.989021\pi\) |
0.939834 | − | 0.341631i | \(-0.110979\pi\) | |||||||
\(654\) | 10.9975 | − | 3.57330i | 0.430036 | − | 0.139727i | ||||
\(655\) | 20.2651 | − | 8.15592i | 0.791821 | − | 0.318678i | ||||
\(656\) | 17.8083 | − | 24.5111i | 0.695298 | − | 0.956996i | ||||
\(657\) | 5.60913 | + | 0.888399i | 0.218833 | + | 0.0346597i | ||||
\(658\) | 3.20633 | − | 1.63370i | 0.124996 | − | 0.0636884i | ||||
\(659\) | −3.37375 | −0.131423 | −0.0657113 | − | 0.997839i | \(-0.520932\pi\) | ||||
−0.0657113 | + | 0.997839i | \(0.520932\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.93056 | 0.386254 | 0.193127 | − | 0.981174i | \(-0.438137\pi\) | ||||
0.193127 | + | 0.981174i | \(0.438137\pi\) | |||||||
\(662\) | −23.9792 | + | 12.2180i | −0.931976 | + | 0.474866i | ||||
\(663\) | 9.03466 | + | 1.43095i | 0.350877 | + | 0.0555735i | ||||
\(664\) | −25.1820 | + | 34.6600i | −0.977250 | + | 1.34507i | ||||
\(665\) | 0.124822 | − | 0.292966i | 0.00484039 | − | 0.0113607i | ||||
\(666\) | −18.4765 | + | 6.00337i | −0.715949 | + | 0.232626i | ||||
\(667\) | −2.42655 | − | 15.3206i | −0.0939565 | − | 0.593218i | ||||
\(668\) | 0.586069 | − | 3.70030i | 0.0226757 | − | 0.143169i | ||||
\(669\) | −16.1161 | − | 5.23645i | −0.623086 | − | 0.202453i | ||||
\(670\) | 19.8263 | − | 1.35959i | 0.765955 | − | 0.0525256i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0.188008 | − | 0.188008i | 0.00725256 | − | 0.00725256i | ||||
\(673\) | −17.3666 | − | 34.0839i | −0.669433 | − | 1.31384i | −0.936672 | − | 0.350207i | \(-0.886111\pi\) |
0.267239 | − | 0.963630i | \(-0.413889\pi\) | |||||||
\(674\) | 6.80832 | + | 9.37085i | 0.262247 | + | 0.360952i | ||||
\(675\) | −20.4657 | + | 6.19684i | −0.787725 | + | 0.238516i | ||||
\(676\) | −0.327980 | − | 1.00942i | −0.0126146 | − | 0.0388238i | ||||
\(677\) | −14.6148 | + | 28.6832i | −0.561693 | + | 1.10238i | 0.419211 | + | 0.907889i | \(0.362307\pi\) |
−0.980903 | + | 0.194495i | \(0.937693\pi\) | |||||||
\(678\) | 4.96442 | − | 0.786287i | 0.190657 | − | 0.0301972i | ||||
\(679\) | 0.213610 | − | 0.155197i | 0.00819759 | − | 0.00595590i | ||||
\(680\) | 5.17677 | − | 20.6445i | 0.198520 | − | 0.791682i | ||||
\(681\) | − | 10.4198i | − | 0.399289i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −28.7223 | − | 28.7223i | −1.09903 | − | 1.09903i | −0.994524 | − | 0.104505i | \(-0.966674\pi\) |
−0.104505 | − | 0.994524i | \(-0.533326\pi\) | |||||||
\(684\) | 0.168791 | − | 0.519484i | 0.00645388 | − | 0.0198630i | ||||
\(685\) | 0.856854 | − | 9.64445i | 0.0327387 | − | 0.368496i | ||||
\(686\) | 3.28785 | + | 2.38876i | 0.125531 | + | 0.0912033i | ||||
\(687\) | −11.6715 | − | 5.94695i | −0.445297 | − | 0.226890i | ||||
\(688\) | −21.2498 | − | 10.8273i | −0.810142 | − | 0.412788i | ||||
\(689\) | 22.6155 | + | 16.4311i | 0.861581 | + | 0.625975i | ||||
\(690\) | −0.389610 | + | 4.38532i | −0.0148322 | + | 0.166946i | ||||
\(691\) | −7.80728 | + | 24.0283i | −0.297003 | + | 0.914081i | 0.685538 | + | 0.728036i | \(0.259567\pi\) |
−0.982541 | + | 0.186044i | \(0.940433\pi\) | |||||||
\(692\) | 2.73759 | + | 2.73759i | 0.104068 | + | 0.104068i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.1878i | 0.538562i | ||||||||
\(695\) | −5.71639 | + | 22.7965i | −0.216835 | + | 0.864721i | ||||
\(696\) | 15.8129 | − | 11.4887i | 0.599386 | − | 0.435479i | ||||
\(697\) | 24.5131 | − | 3.88250i | 0.928501 | − | 0.147060i | ||||
\(698\) | −1.03636 | + | 2.03398i | −0.0392270 | + | 0.0769873i | ||||
\(699\) | 3.85390 | + | 11.8611i | 0.145768 | + | 0.448627i | ||||
\(700\) | −0.284586 | + | 0.0861701i | −0.0107563 | + | 0.00325693i | ||||
\(701\) | −16.5916 | − | 22.8364i | −0.626657 | − | 0.862519i | 0.371160 | − | 0.928569i | \(-0.378960\pi\) |
−0.997816 | + | 0.0660500i | \(0.978960\pi\) | |||||||
\(702\) | 9.13604 | + | 17.9305i | 0.344818 | + | 0.676743i | ||||
\(703\) | −2.84289 | + | 2.84289i | −0.107222 | + | 0.107222i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −21.9892 | + | 1.50791i | −0.828161 | + | 0.0567914i | ||||
\(706\) | 9.00040 | + | 2.92441i | 0.338735 | + | 0.110062i | ||||
\(707\) | 0.144535 | − | 0.912558i | 0.00543580 | − | 0.0343203i | ||||
\(708\) | −0.372865 | − | 2.35418i | −0.0140131 | − | 0.0884754i | ||||
\(709\) | 7.76034 | − | 2.52149i | 0.291446 | − | 0.0946964i | −0.159645 | − | 0.987174i | \(-0.551035\pi\) |
0.451091 | + | 0.892478i | \(0.351035\pi\) | |||||||
\(710\) | 15.2703 | − | 35.8405i | 0.573084 | − | 1.34507i | ||||
\(711\) | 0.931826 | − | 1.28255i | 0.0349462 | − | 0.0480993i | ||||
\(712\) | −20.0930 | − | 3.18243i | −0.753019 | − | 0.119266i | ||||
\(713\) | −0.508008 | + | 0.258843i | −0.0190250 | + | 0.00969374i | ||||
\(714\) | 0.860026 | 0.0321856 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.26727 | −0.234219 | ||||||||
\(717\) | −3.75179 | + | 1.91163i | −0.140113 | + | 0.0713912i | ||||
\(718\) | −39.4918 | − | 6.25489i | −1.47382 | − | 0.233430i | ||||
\(719\) | −0.609910 | + | 0.839469i | −0.0227458 | + | 0.0313069i | −0.820238 | − | 0.572022i | \(-0.806159\pi\) |
0.797493 | + | 0.603329i | \(0.206159\pi\) | |||||||
\(720\) | 22.1924 | − | 8.93161i | 0.827062 | − | 0.332861i | ||||
\(721\) | 0.589518 | − | 0.191546i | 0.0219548 | − | 0.00713354i | ||||
\(722\) | 4.38646 | + | 27.6950i | 0.163247 | + | 1.03070i | ||||
\(723\) | 2.01631 | − | 12.7305i | 0.0749875 | − | 0.473452i | ||||
\(724\) | 1.36166 | + | 0.442431i | 0.0506058 | + | 0.0164428i | ||||
\(725\) | −47.2892 | + | 6.51637i | −1.75627 | + | 0.242012i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.27903 | + | 3.27903i | −0.121612 | + | 0.121612i | −0.765294 | − | 0.643681i | \(-0.777406\pi\) |
0.643681 | + | 0.765294i | \(0.277406\pi\) | |||||||
\(728\) | −0.691021 | − | 1.35621i | −0.0256110 | − | 0.0502643i | ||||
\(729\) | 0.892381 | + | 1.22826i | 0.0330512 | + | 0.0454910i | ||||
\(730\) | −6.91751 | − | 4.33549i | −0.256029 | − | 0.160464i | ||||
\(731\) | −6.03714 | − | 18.5804i | −0.223292 | − | 0.687222i | ||||
\(732\) | 0.662452 | − | 1.30014i | 0.0244849 | − | 0.0480544i | ||||
\(733\) | −45.1128 | + | 7.14516i | −1.66628 | + | 0.263912i | −0.917158 | − | 0.398523i | \(-0.869523\pi\) |
−0.749119 | + | 0.662435i | \(0.769523\pi\) | |||||||
\(734\) | −10.0460 | + | 7.29884i | −0.370805 | + | 0.269405i | ||||
\(735\) | −6.37895 | − | 10.6488i | −0.235291 | − | 0.392786i | ||||
\(736\) | − | 2.83001i | − | 0.104315i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 17.0171 | + | 17.0171i | 0.626410 | + | 0.626410i | ||||
\(739\) | 1.17326 | − | 3.61092i | 0.0431591 | − | 0.132830i | −0.927155 | − | 0.374678i | \(-0.877753\pi\) |
0.970314 | + | 0.241848i | \(0.0777534\pi\) | |||||||
\(740\) | 3.73930 | + | 0.332215i | 0.137459 | + | 0.0122125i | ||||
\(741\) | 1.48503 | + | 1.07894i | 0.0545539 | + | 0.0396357i | ||||
\(742\) | 2.34179 | + | 1.19320i | 0.0859699 | + | 0.0438039i | ||||
\(743\) | −37.8046 | − | 19.2624i | −1.38691 | − | 0.706668i | −0.408392 | − | 0.912807i | \(-0.633910\pi\) |
−0.978523 | + | 0.206138i | \(0.933910\pi\) | |||||||
\(744\) | −0.581224 | − | 0.422284i | −0.0213087 | − | 0.0154817i | ||||
\(745\) | −9.88173 | + | 8.26913i | −0.362038 | + | 0.302957i | ||||
\(746\) | 4.06860 | − | 12.5219i | 0.148962 | − | 0.458459i | ||||
\(747\) | −27.8924 | − | 27.8924i | −1.02053 | − | 1.02053i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.11681i | 0.0773467i | ||||||||
\(750\) | 13.4687 | + | 1.47059i | 0.491806 | + | 0.0536982i | ||||
\(751\) | 8.08383 | − | 5.87325i | 0.294983 | − | 0.214318i | −0.430443 | − | 0.902618i | \(-0.641643\pi\) |
0.725426 | + | 0.688300i | \(0.241643\pi\) | |||||||
\(752\) | 55.2552 | − | 8.75157i | 2.01495 | − | 0.319137i | ||||
\(753\) | −7.00075 | + | 13.7398i | −0.255122 | + | 0.500704i | ||||
\(754\) | 13.8824 | + | 42.7257i | 0.505568 | + | 1.55598i | ||||
\(755\) | −17.7698 | + | 28.3526i | −0.646708 | + | 1.03186i | ||||
\(756\) | 0.149491 | + | 0.205757i | 0.00543693 | + | 0.00748330i | ||||
\(757\) | 13.3398 | + | 26.1808i | 0.484843 | + | 0.951558i | 0.995765 | + | 0.0919310i | \(0.0293039\pi\) |
−0.510922 | + | 0.859627i | \(0.670696\pi\) | |||||||
\(758\) | −0.664675 | + | 0.664675i | −0.0241421 | + | 0.0241421i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.80638 | − | 3.21961i | 0.101798 | − | 0.116788i | ||||
\(761\) | −28.8663 | − | 9.37924i | −1.04640 | − | 0.339997i | −0.265147 | − | 0.964208i | \(-0.585421\pi\) |
−0.781256 | + | 0.624211i | \(0.785421\pi\) | |||||||
\(762\) | −2.76154 | + | 17.4357i | −0.100040 | + | 0.631627i | ||||
\(763\) | −0.285812 | − | 1.80455i | −0.0103471 | − | 0.0653289i | ||||
\(764\) | −1.86872 | + | 0.607184i | −0.0676079 | + | 0.0219671i | ||||
\(765\) | 18.0283 | + | 7.68120i | 0.651815 | + | 0.277714i | ||||
\(766\) | −9.27323 | + | 12.7635i | −0.335056 | + | 0.461164i | ||||
\(767\) | −29.4317 | − | 4.66152i | −1.06272 | − | 0.168318i | ||||
\(768\) | 5.17386 | − | 2.63621i | 0.186696 | − | 0.0951261i | ||||
\(769\) | 37.6421 | 1.35741 | 0.678705 | − | 0.734411i | \(-0.262542\pi\) | ||||
0.678705 | + | 0.734411i | \(0.262542\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.75184 | −0.135119 | ||||||||
\(772\) | 1.64158 | − | 0.836426i | 0.0590817 | − | 0.0301036i | ||||
\(773\) | −25.4951 | − | 4.03803i | −0.916996 | − | 0.145238i | −0.319941 | − | 0.947438i | \(-0.603663\pi\) |
−0.597056 | + | 0.802200i | \(0.703663\pi\) | |||||||
\(774\) | 11.1350 | − | 15.3260i | 0.400240 | − | 0.550883i | ||||
\(775\) | 0.764921 | + | 1.57909i | 0.0274768 | + | 0.0567225i | ||||
\(776\) | 3.36793 | − | 1.09431i | 0.120902 | − | 0.0392833i | ||||
\(777\) | −0.129075 | − | 0.814945i | −0.00463053 | − | 0.0292360i | ||||
\(778\) | 5.26632 | − | 33.2502i | 0.188807 | − | 1.19208i | ||||
\(779\) | 4.73664 | + | 1.53903i | 0.169708 | + | 0.0551414i | ||||
\(780\) | −0.117260 | − | 1.70994i | −0.00419856 | − | 0.0612257i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 6.47282 | − | 6.47282i | 0.231467 | − | 0.231467i | ||||
\(783\) | 18.5365 | + | 36.3799i | 0.662440 | + | 1.30011i | ||||
\(784\) | 18.5194 | + | 25.4898i | 0.661408 | + | 0.910350i | ||||
\(785\) | −10.7841 | + | 2.47443i | −0.384901 | + | 0.0883162i | ||||
\(786\) | 3.65836 | + | 11.2593i | 0.130489 | + | 0.401605i | ||||
\(787\) | −7.84278 | + | 15.3923i | −0.279565 | + | 0.548677i | −0.987504 | − | 0.157597i | \(-0.949625\pi\) |
0.707939 | + | 0.706274i | \(0.249625\pi\) | |||||||
\(788\) | 4.29719 | − | 0.680608i | 0.153081 | − | 0.0242456i | ||||
\(789\) | −10.2356 | + | 7.43663i | −0.364399 | + | 0.264751i | ||||
\(790\) | −1.95502 | + | 1.17112i | −0.0695566 | + | 0.0416666i | ||||
\(791\) | − | 0.794162i | − | 0.0282372i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.8994 | − | 12.8994i | −0.458070 | − | 0.458070i | ||||
\(794\) | 7.15898 | − | 22.0331i | 0.254063 | − | 0.781925i | ||||
\(795\) | −10.3309 | − | 12.3456i | −0.366400 | − | 0.437854i | ||||
\(796\) | 3.36273 | + | 2.44317i | 0.119189 | + | 0.0865958i | ||||
\(797\) | 39.7113 | + | 20.2339i | 1.40665 | + | 0.716722i | 0.982043 | − | 0.188658i | \(-0.0604138\pi\) |
0.424603 | + | 0.905380i | \(0.360414\pi\) | |||||||
\(798\) | 0.153772 | + | 0.0783508i | 0.00544348 | + | 0.00277359i | ||||
\(799\) | 37.0754 | + | 26.9368i | 1.31163 | + | 0.952957i | ||||
\(800\) | −8.70740 | − | 0.175421i | −0.307853 | − | 0.00620208i | ||||
\(801\) | 5.78814 | − | 17.8140i | 0.204514 | − | 0.629428i | ||||
\(802\) | −4.60219 | − | 4.60219i | −0.162509 | − | 0.162509i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 1.44771i | 0.0510569i | ||||||||
\(805\) | 0.674726 | + | 0.169192i | 0.0237810 | + | 0.00596325i | ||||
\(806\) | 1.33590 | − | 0.970585i | 0.0470549 | − | 0.0341874i | ||||
\(807\) | 8.90749 | − | 1.41081i | 0.313559 | − | 0.0496628i | ||||
\(808\) | 5.62575 | − | 11.0412i | 0.197913 | − | 0.388427i | ||||
\(809\) | −4.70791 | − | 14.4894i | −0.165521 | − | 0.509422i | 0.833553 | − | 0.552439i | \(-0.186303\pi\) |
−0.999074 | + | 0.0430175i | \(0.986303\pi\) | |||||||
\(810\) | 2.80025 | + | 12.2041i | 0.0983907 | + | 0.428808i | ||||
\(811\) | 26.7779 | + | 36.8566i | 0.940299 | + | 1.29421i | 0.955704 | + | 0.294330i | \(0.0950963\pi\) |
−0.0154047 | + | 0.999881i | \(0.504904\pi\) | |||||||
\(812\) | 0.257759 | + | 0.505881i | 0.00904558 | + | 0.0177529i | ||||
\(813\) | 10.0502 | − | 10.0502i | 0.352475 | − | 0.352475i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 16.8842 | + | 14.7171i | 0.591427 | + | 0.515518i | ||||
\(816\) | 12.7158 | + | 4.13162i | 0.445143 | + | 0.144636i | ||||
\(817\) | 0.613292 | − | 3.87217i | 0.0214564 | − | 0.135470i | ||||
\(818\) | 1.02146 | + | 6.44923i | 0.0357144 | + | 0.225492i | ||||
\(819\) | 1.33285 | − | 0.433069i | 0.0465736 | − | 0.0151327i | ||||
\(820\) | −1.73625 | − | 4.31408i | −0.0606326 | − | 0.150654i | ||||
\(821\) | 16.8767 | − | 23.2288i | 0.589000 | − | 0.810690i | −0.405646 | − | 0.914030i | \(-0.632953\pi\) |
0.994646 | + | 0.103341i | \(0.0329533\pi\) | |||||||
\(822\) | 5.18277 | + | 0.820871i | 0.180770 | + | 0.0286312i | ||||
\(823\) | 24.0189 | − | 12.2383i | 0.837247 | − | 0.426599i | 0.0178607 | − | 0.999840i | \(-0.494314\pi\) |
0.819386 | + | 0.573242i | \(0.194314\pi\) | |||||||
\(824\) | 8.31350 | 0.289614 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.80165 | −0.0974820 | ||||||||
\(827\) | 35.3578 | − | 18.0157i | 1.22951 | − | 0.626467i | 0.286134 | − | 0.958190i | \(-0.407630\pi\) |
0.943377 | + | 0.331722i | \(0.107630\pi\) | |||||||
\(828\) | 1.17846 | + | 0.186650i | 0.0409544 | + | 0.00648655i | ||||
\(829\) | −6.38756 | + | 8.79172i | −0.221849 | + | 0.305349i | −0.905405 | − | 0.424549i | \(-0.860433\pi\) |
0.683556 | + | 0.729898i | \(0.260433\pi\) | |||||||
\(830\) | 21.1713 | + | 52.6045i | 0.734867 | + | 1.82593i | ||||
\(831\) | 3.54961 | − | 1.15334i | 0.123134 | − | 0.0400088i | ||||
\(832\) | −3.10010 | − | 19.5732i | −0.107476 | − | 0.678580i | ||||
\(833\) | −4.03753 | + | 25.4920i | −0.139892 | + | 0.883244i | ||||
\(834\) | −12.1136 | − | 3.93596i | −0.419461 | − | 0.136291i | ||||
\(835\) | 20.3322 | + | 17.7226i | 0.703625 | + | 0.613316i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.06120 | − | 1.06120i | 0.0366805 | − | 0.0366805i | ||||
\(838\) | −0.829773 | − | 1.62852i | −0.0286640 | − | 0.0562563i | ||||
\(839\) | 23.6970 | + | 32.6161i | 0.818112 | + | 1.12603i | 0.990021 | + | 0.140922i | \(0.0450065\pi\) |
−0.171909 | + | 0.985113i | \(0.554993\pi\) | |||||||
\(840\) | 0.196027 | + | 0.854327i | 0.00676357 | + | 0.0294771i | ||||
\(841\) | 19.2051 | + | 59.1073i | 0.662246 | + | 2.03818i | ||||
\(842\) | −21.6060 | + | 42.4041i | −0.744591 | + | 1.46134i | ||||
\(843\) | 10.3854 | − | 1.64488i | 0.357692 | − | 0.0566528i | ||||
\(844\) | 1.49065 | − | 1.08302i | 0.0513102 | − | 0.0372790i | ||||
\(845\) | 7.41173 | + | 1.85854i | 0.254971 | + | 0.0639359i | ||||
\(846\) | 44.4376i | 1.52780i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 28.8921 | + | 28.8921i | 0.992159 | + | 0.992159i | ||||
\(849\) | −5.61360 | + | 17.2769i | −0.192658 | + | 0.592941i | ||||
\(850\) | −19.5144 | − | 20.3169i | −0.669339 | − | 0.696862i | ||||
\(851\) | −7.10498 | − | 5.16207i | −0.243556 | − | 0.176954i | ||||
\(852\) | 2.52871 | + | 1.28844i | 0.0866323 | + | 0.0441414i | ||||
\(853\) | 12.4352 | + | 6.33606i | 0.425774 | + | 0.216942i | 0.653728 | − | 0.756729i | \(-0.273204\pi\) |
−0.227955 | + | 0.973672i | \(0.573204\pi\) | |||||||
\(854\) | −1.38759 | − | 1.00814i | −0.0474823 | − | 0.0344979i | ||||
\(855\) | 2.52367 | + | 3.01583i | 0.0863078 | + | 0.103139i | ||||
\(856\) | −8.77321 | + | 27.0012i | −0.299862 | + | 0.922881i | ||||
\(857\) | 26.9229 | + | 26.9229i | 0.919668 | + | 0.919668i | 0.997005 | − | 0.0773373i | \(-0.0246418\pi\) |
−0.0773373 | + | 0.997005i | \(0.524642\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 18.3200i | − | 0.625071i | −0.949906 | − | 0.312535i | \(-0.898822\pi\) | ||
0.949906 | − | 0.312535i | \(-0.101178\pi\) | |||||||
\(860\) | −3.14031 | + | 1.88115i | −0.107084 | + | 0.0641465i | ||||
\(861\) | −0.826904 | + | 0.600781i | −0.0281808 | + | 0.0204746i | ||||
\(862\) | −14.8503 | + | 2.35205i | −0.505802 | + | 0.0801112i | ||||
\(863\) | −5.51731 | + | 10.8283i | −0.187812 | + | 0.368601i | −0.965643 | − | 0.259872i | \(-0.916320\pi\) |
0.777832 | + | 0.628473i | \(0.216320\pi\) | |||||||
\(864\) | 2.30194 | + | 7.08464i | 0.0783135 | + | 0.241024i | ||||
\(865\) | −27.1668 | + | 6.23347i | −0.923699 | + | 0.211944i | ||||
\(866\) | 24.1079 | + | 33.1817i | 0.819219 | + | 1.12756i | ||||
\(867\) | −1.18053 | − | 2.31693i | −0.0400931 | − | 0.0786871i | ||||
\(868\) | 0.0147565 | − | 0.0147565i | 0.000500870 | − | 0.000500870i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −1.76991 | − | 25.8098i | −0.0600057 | − | 0.875035i | ||||
\(871\) | 17.2133 | + | 5.59295i | 0.583251 | + | 0.189510i | ||||
\(872\) | 3.83331 | − | 24.2026i | 0.129812 | − | 0.819602i | ||||
\(873\) | 0.510058 | + | 3.22038i | 0.0172628 | + | 0.108993i | ||||
\(874\) | 1.74703 | − | 0.567644i | 0.0590941 | − | 0.0192008i | ||||
\(875\) | 0.562397 | − | 2.06552i | 0.0190125 | − | 0.0698272i | ||||
\(876\) | 0.349572 | − | 0.481145i | 0.0118109 | − | 0.0162564i | ||||
\(877\) | 12.6770 | + | 2.00784i | 0.428072 | + | 0.0677999i | 0.366753 | − | 0.930318i | \(-0.380469\pi\) |
0.0613187 | + | 0.998118i | \(0.480469\pi\) | |||||||
\(878\) | −33.2992 | + | 16.9668i | −1.12379 | + | 0.572602i | ||||
\(879\) | −5.76213 | −0.194352 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.8380 | 0.466216 | 0.233108 | − | 0.972451i | \(-0.425110\pi\) | ||||
0.233108 | + | 0.972451i | \(0.425110\pi\) | |||||||
\(882\) | −22.2991 | + | 11.3619i | −0.750849 | + | 0.382577i | ||||
\(883\) | −43.0520 | − | 6.81876i | −1.44881 | − | 0.229470i | −0.618069 | − | 0.786123i | \(-0.712085\pi\) |
−0.830745 | + | 0.556654i | \(0.812085\pi\) | |||||||
\(884\) | −2.09468 | + | 2.88308i | −0.0704517 | + | 0.0969685i | ||||
\(885\) | 15.7868 | + | 6.72617i | 0.530667 | + | 0.226098i | ||||
\(886\) | −44.5223 | + | 14.4662i | −1.49576 | + | 0.486001i | ||||
\(887\) | −1.62679 | − | 10.2712i | −0.0546224 | − | 0.344872i | −0.999831 | − | 0.0184043i | \(-0.994141\pi\) |
0.945208 | − | 0.326468i | \(-0.105859\pi\) | |||||||
\(888\) | 1.73115 | − | 10.9300i | 0.0580935 | − | 0.366788i | ||||
\(889\) | 2.65268 | + | 0.861909i | 0.0889682 | + | 0.0289075i | ||||
\(890\) | −17.6925 | + | 20.2977i | −0.593055 | + | 0.680381i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.66817 | − | 4.66817i | 0.156302 | − | 0.156302i | ||||
\(893\) | 4.17503 | + | 8.19397i | 0.139712 | + | 0.274201i | ||||
\(894\) | −4.10455 | − | 5.64943i | −0.137277 | − | 0.188945i | ||||
\(895\) | 23.9617 | − | 38.2322i | 0.800952 | − | 1.27796i | ||||
\(896\) | −0.781885 | − | 2.40639i | −0.0261209 | − | 0.0803920i | ||||
\(897\) | −1.82035 | + | 3.57263i | −0.0607796 | + | 0.119287i | ||||
\(898\) | −10.9969 | + | 1.74174i | −0.366973 | + | 0.0581228i | ||||
\(899\) | 2.71045 | − | 1.96926i | 0.0903987 | − | 0.0656785i | ||||
\(900\) | 0.647336 | − | 3.61434i | 0.0215779 | − | 0.120478i | ||||
\(901\) | 33.4710i | 1.11508i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.568922 | + | 0.568922i | 0.0189325 | + | 0.0189325i | ||||
\(904\) | 3.29143 | − | 10.1300i | 0.109471 | − | 0.336918i | ||||
\(905\) | −7.90503 | + | 6.61501i | −0.262772 | + | 0.219890i | ||||
\(906\) | −14.6708 | − | 10.6590i | −0.487405 | − | 0.354120i | ||||
\(907\) | −14.5296 | − | 7.40321i | −0.482448 | − | 0.245820i | 0.195812 | − | 0.980641i | \(-0.437266\pi\) |
−0.678260 | + | 0.734822i | \(0.737266\pi\) | |||||||
\(908\) | 3.61701 | + | 1.84296i | 0.120035 | + | 0.0611607i | ||||
\(909\) | 9.23043 | + | 6.70630i | 0.306154 | + | 0.222434i | ||||
\(910\) | −2.00672 | − | 0.178286i | −0.0665222 | − | 0.00591012i | ||||
\(911\) | −5.47283 | + | 16.8436i | −0.181323 | + | 0.558055i | −0.999866 | − | 0.0163910i | \(-0.994782\pi\) |
0.818543 | + | 0.574446i | \(0.194782\pi\) | |||||||
\(912\) | 1.89718 | + | 1.89718i | 0.0628219 | + | 0.0628219i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 10.2385i | 0.338659i | ||||||||
\(915\) | 5.39846 | + | 9.01198i | 0.178468 | + | 0.297927i | ||||
\(916\) | 4.12869 | − | 2.99967i | 0.136416 | − | 0.0991119i | ||||
\(917\) | 1.84750 | − | 0.292615i | 0.0610098 | − | 0.00966301i | ||||
\(918\) | −10.9390 | + | 21.4691i | −0.361042 | + | 0.708584i | ||||
\(919\) | 2.82132 | + | 8.68314i | 0.0930669 | + | 0.286430i | 0.986745 | − | 0.162278i | \(-0.0518842\pi\) |
−0.893678 | + | 0.448708i | \(0.851884\pi\) | |||||||
\(920\) | 7.90528 | + | 4.95457i | 0.260629 | + | 0.163347i | ||||
\(921\) | −13.3383 | − | 18.3585i | −0.439510 | − | 0.604934i | ||||
\(922\) | −20.0680 | − | 39.3857i | −0.660905 | − | 1.29710i | ||||
\(923\) | 25.0888 | − | 25.0888i | 0.825807 | − | 0.825807i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.3231 | + | 21.5407i | −0.536701 | + | 0.708254i | ||||
\(926\) | 35.8082 | + | 11.6348i | 1.17673 | + | 0.382342i | ||||
\(927\) | −1.19742 | + | 7.56022i | −0.0393284 | + | 0.248310i | ||||
\(928\) | 2.60145 | + | 16.4249i | 0.0853967 | + | 0.539174i | ||||
\(929\) | 1.72368 | − | 0.560057i | 0.0565521 | − | 0.0183749i | −0.280604 | − | 0.959824i | \(-0.590535\pi\) |
0.337156 | + | 0.941449i | \(0.390535\pi\) | |||||||
\(930\) | −0.882140 | + | 0.355028i | −0.0289265 | + | 0.0116418i | ||||
\(931\) | −3.04430 | + | 4.19012i | −0.0997729 | + | 0.137326i | ||||
\(932\) | −4.79893 | − | 0.760076i | −0.157194 | − | 0.0248971i | ||||
\(933\) | −5.33878 | + | 2.72024i | −0.174784 | + | 0.0890568i | ||||
\(934\) | 40.2174 | 1.31595 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 18.7961 | 0.614371 | ||||||||
\(937\) | 13.5070 | − | 6.88215i | 0.441254 | − | 0.224830i | −0.219226 | − | 0.975674i | \(-0.570353\pi\) |
0.660479 | + | 0.750844i | \(0.270353\pi\) | |||||||
\(938\) | 1.68073 | + | 0.266201i | 0.0548777 | + | 0.00869178i | ||||
\(939\) | 0.630770 | − | 0.868181i | 0.0205844 | − | 0.0283320i | ||||
\(940\) | 3.36579 | − | 7.89975i | 0.109780 | − | 0.257661i | ||||
\(941\) | −20.7606 | + | 6.74553i | −0.676777 | + | 0.219898i | −0.627184 | − | 0.778871i | \(-0.715792\pi\) |
−0.0495931 | + | 0.998770i | \(0.515792\pi\) | |||||||
\(942\) | −0.938027 | − | 5.92247i | −0.0305626 | − | 0.192965i | ||||
\(943\) | −1.70187 | + | 10.7452i | −0.0554206 | + | 0.349912i | ||||
\(944\) | −41.4236 | − | 13.4593i | −1.34822 | − | 0.438064i | ||||
\(945\) | −1.82673 | + | 0.125268i | −0.0594235 | + | 0.00407498i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.90662 | − | 6.90662i | 0.224435 | − | 0.224435i | −0.585928 | − | 0.810363i | \(-0.699270\pi\) |
0.810363 | + | 0.585928i | \(0.199270\pi\) | |||||||
\(948\) | −0.0753712 | − | 0.147924i | −0.00244794 | − | 0.00480436i | ||||
\(949\) | −4.37031 | − | 6.01522i | −0.141866 | − | 0.195262i | ||||
\(950\) | −1.63824 | − | 5.41046i | −0.0531516 | − | 0.175539i | ||||
\(951\) | 2.79170 | + | 8.59195i | 0.0905269 | + | 0.278613i | ||||
\(952\) | 0.827393 | − | 1.62385i | 0.0268160 | − | 0.0526293i | ||||
\(953\) | 12.8827 | − | 2.04042i | 0.417311 | − | 0.0660956i | 0.0557519 | − | 0.998445i | \(-0.482244\pi\) |
0.361560 | + | 0.932349i | \(0.382244\pi\) | |||||||
\(954\) | −26.2572 | + | 19.0770i | −0.850109 | + | 0.617641i | ||||
\(955\) | 3.44069 | − | 13.7212i | 0.111338 | − | 0.444008i | ||||
\(956\) | − | 1.64046i | − | 0.0530561i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −28.2202 | − | 28.2202i | −0.911755 | − | 0.911755i | ||||
\(959\) | 0.256204 | − | 0.788514i | 0.00827325 | − | 0.0254624i | ||||
\(960\) | −1.00992 | + | 11.3673i | −0.0325949 | + | 0.366877i | ||||
\(961\) | 24.9799 | + | 18.1490i | 0.805803 | + | 0.585450i | ||||
\(962\) | 22.6627 | + | 11.5472i | 0.730675 | + | 0.372298i | ||||
\(963\) | −23.2910 | − | 11.8673i | −0.750541 | − | 0.382420i | ||||
\(964\) | 4.06247 | + | 2.95156i | 0.130843 | + | 0.0950633i | ||||
\(965\) | −1.17381 | + | 13.2120i | −0.0377864 | + | 0.425311i | ||||
\(966\) | −0.116495 | + | 0.358536i | −0.00374818 | + | 0.0115357i | ||||
\(967\) | −13.6319 | − | 13.6319i | −0.438372 | − | 0.438372i | 0.453092 | − | 0.891464i | \(-0.350321\pi\) |
−0.891464 | + | 0.453092i | \(0.850321\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.19785i | 0.0706051i | ||||||||
\(970\) | 1.14004 | − | 4.54637i | 0.0366043 | − | 0.145975i | ||||
\(971\) | −3.32405 | + | 2.41506i | −0.106674 | + | 0.0775030i | −0.639843 | − | 0.768505i | \(-0.721001\pi\) |
0.533170 | + | 0.846008i | \(0.321001\pi\) | |||||||
\(972\) | −4.83674 | + | 0.766064i | −0.155138 | + | 0.0245715i | ||||
\(973\) | −0.913641 | + | 1.79312i | −0.0292900 | + | 0.0574848i | ||||
\(974\) | −10.9611 | − | 33.7348i | −0.351216 | − | 1.08093i | ||||
\(975\) | 10.8795 | + | 5.82232i | 0.348422 | + | 0.186463i | ||||
\(976\) | −15.6729 | − | 21.5718i | −0.501676 | − | 0.690498i | ||||
\(977\) | 13.9418 | + | 27.3623i | 0.446038 | + | 0.875398i | 0.999107 | + | 0.0422626i | \(0.0134566\pi\) |
−0.553069 | + | 0.833136i | \(0.686543\pi\) | |||||||
\(978\) | −8.58324 | + | 8.58324i | −0.274462 | + | 0.274462i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 4.82472 | − | 0.330856i | 0.154120 | − | 0.0105688i | ||||
\(981\) | 21.4574 | + | 6.97195i | 0.685083 | + | 0.222597i | ||||
\(982\) | −4.36290 | + | 27.5462i | −0.139226 | + | 0.879036i | ||||
\(983\) | −4.33721 | − | 27.3840i | −0.138335 | − | 0.873415i | −0.955065 | − | 0.296395i | \(-0.904215\pi\) |
0.816730 | − | 0.577020i | \(-0.195785\pi\) | |||||||
\(984\) | −13.0376 | + | 4.23617i | −0.415623 | + | 0.135044i | ||||
\(985\) | −12.2776 | + | 28.8163i | −0.391196 | + | 0.918165i | ||||
\(986\) | −31.6171 | + | 43.5172i | −1.00689 | + | 1.38587i | ||||
\(987\) | −1.86409 | − | 0.295242i | −0.0593346 | − | 0.00939767i | ||||
\(988\) | −0.637185 | + | 0.324662i | −0.0202716 | + | 0.0103289i | ||||
\(989\) | 8.56376 | 0.272312 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.10087 | 0.289099 | 0.144549 | − | 0.989498i | \(-0.453827\pi\) | ||||
0.144549 | + | 0.989498i | \(0.453827\pi\) | |||||||
\(992\) | 0.544623 | − | 0.277499i | 0.0172918 | − | 0.00881061i | ||||
\(993\) | 13.9410 | + | 2.20803i | 0.442403 | + | 0.0700697i | ||||
\(994\) | 1.96080 | − | 2.69881i | 0.0621927 | − | 0.0856009i | ||||
\(995\) | −27.7608 | + | 11.1727i | −0.880078 | + | 0.354198i | ||||
\(996\) | −3.92871 | + | 1.27652i | −0.124486 | + | 0.0404480i | ||||
\(997\) | 4.51636 | + | 28.5152i | 0.143035 | + | 0.903085i | 0.949946 | + | 0.312413i | \(0.101137\pi\) |
−0.806912 | + | 0.590672i | \(0.798863\pi\) | |||||||
\(998\) | −2.79592 | + | 17.6527i | −0.0885031 | + | 0.558787i | ||||
\(999\) | 21.9855 | + | 7.14351i | 0.695589 | + | 0.226011i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))