Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(76,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bd (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 76.10 | ||
Character | \(\chi\) | \(=\) | 429.76 |
Dual form | 429.2.bd.a.175.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.42470 | + | 0.381747i | 1.00741 | + | 0.269936i | 0.724548 | − | 0.689224i | \(-0.242048\pi\) |
0.282865 | + | 0.959160i | \(0.408715\pi\) | |||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0.151984 | + | 0.0877479i | 0.0759919 | + | 0.0438739i | ||||
\(5\) | −0.971227 | − | 0.971227i | −0.434346 | − | 0.434346i | 0.455758 | − | 0.890104i | \(-0.349368\pi\) |
−0.890104 | + | 0.455758i | \(0.849368\pi\) | |||||||
\(6\) | −0.381747 | − | 1.42470i | −0.155847 | − | 0.581631i | ||||
\(7\) | −4.17142 | + | 1.11773i | −1.57665 | + | 0.422461i | −0.937886 | − | 0.346944i | \(-0.887219\pi\) |
−0.638761 | + | 0.769405i | \(0.720553\pi\) | |||||||
\(8\) | −1.90287 | − | 1.90287i | −0.672766 | − | 0.672766i | ||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −1.01294 | − | 1.75447i | −0.320321 | − | 0.554812i | ||||
\(11\) | 2.45948 | − | 2.22508i | 0.741561 | − | 0.670886i | ||||
\(12\) | − | 0.175496i | − | 0.0506612i | ||||||
\(13\) | −3.58322 | − | 0.400646i | −0.993807 | − | 0.111119i | ||||
\(14\) | −6.36970 | −1.70237 | ||||||||
\(15\) | −0.355494 | + | 1.32672i | −0.0917881 | + | 0.342558i | ||||
\(16\) | −2.16010 | − | 3.74140i | −0.540024 | − | 0.935349i | ||||
\(17\) | 0.301427 | − | 0.522088i | 0.0731069 | − | 0.126625i | −0.827155 | − | 0.561974i | \(-0.810042\pi\) |
0.900261 | + | 0.435350i | \(0.143375\pi\) | |||||||
\(18\) | −1.04295 | + | 1.04295i | −0.245826 | + | 0.245826i | ||||
\(19\) | 0.159121 | + | 0.593849i | 0.0365050 | + | 0.136238i | 0.981773 | − | 0.190055i | \(-0.0608668\pi\) |
−0.945268 | + | 0.326294i | \(0.894200\pi\) | |||||||
\(20\) | −0.0623876 | − | 0.232834i | −0.0139503 | − | 0.0520632i | ||||
\(21\) | 3.05369 | + | 3.05369i | 0.666369 | + | 0.666369i | ||||
\(22\) | 4.35343 | − | 2.23117i | 0.928154 | − | 0.475686i | ||||
\(23\) | 1.91532 | − | 1.10581i | 0.399372 | − | 0.230578i | −0.286841 | − | 0.957978i | \(-0.592605\pi\) |
0.686213 | + | 0.727401i | \(0.259272\pi\) | |||||||
\(24\) | −0.696499 | + | 2.59937i | −0.142172 | + | 0.530594i | ||||
\(25\) | − | 3.11344i | − | 0.622687i | ||||||
\(26\) | −4.95207 | − | 1.93868i | −0.971180 | − | 0.380207i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −0.732066 | − | 0.196156i | −0.138347 | − | 0.0370701i | ||||
\(29\) | −4.74047 | + | 2.73691i | −0.880284 | + | 0.508232i | −0.870752 | − | 0.491722i | \(-0.836367\pi\) |
−0.00953186 | + | 0.999955i | \(0.503034\pi\) | |||||||
\(30\) | −1.01294 | + | 1.75447i | −0.184937 | + | 0.320321i | ||||
\(31\) | −3.56405 | − | 3.56405i | −0.640122 | − | 0.640122i | 0.310464 | − | 0.950585i | \(-0.399516\pi\) |
−0.950585 | + | 0.310464i | \(0.899516\pi\) | |||||||
\(32\) | −0.256222 | − | 0.956235i | −0.0452941 | − | 0.169040i | ||||
\(33\) | −3.15671 | − | 1.01743i | −0.549513 | − | 0.177112i | ||||
\(34\) | 0.628748 | − | 0.628748i | 0.107829 | − | 0.107829i | ||||
\(35\) | 5.13696 | + | 2.96583i | 0.868305 | + | 0.501316i | ||||
\(36\) | −0.151984 | + | 0.0877479i | −0.0253306 | + | 0.0146246i | ||||
\(37\) | 10.4857 | + | 2.80963i | 1.72383 | + | 0.461900i | 0.978748 | − | 0.205069i | \(-0.0657418\pi\) |
0.745086 | + | 0.666969i | \(0.232408\pi\) | |||||||
\(38\) | 0.906800i | 0.147102i | ||||||||
\(39\) | 1.44464 | + | 3.30348i | 0.231328 | + | 0.528981i | ||||
\(40\) | 3.69624i | 0.584426i | ||||||||
\(41\) | 4.48549 | + | 1.20188i | 0.700516 | + | 0.187703i | 0.591462 | − | 0.806333i | \(-0.298551\pi\) |
0.109054 | + | 0.994036i | \(0.465218\pi\) | |||||||
\(42\) | 3.18485 | + | 5.51632i | 0.491433 | + | 0.851187i | ||||
\(43\) | 2.00257 | − | 3.46855i | 0.305389 | − | 0.528949i | −0.671959 | − | 0.740588i | \(-0.734547\pi\) |
0.977348 | + | 0.211639i | \(0.0678802\pi\) | |||||||
\(44\) | 0.569046 | − | 0.122362i | 0.0857870 | − | 0.0184467i | ||||
\(45\) | 1.32672 | − | 0.355494i | 0.197776 | − | 0.0529939i | ||||
\(46\) | 3.15090 | − | 0.844280i | 0.464574 | − | 0.124482i | ||||
\(47\) | −1.15089 | + | 1.15089i | −0.167875 | + | 0.167875i | −0.786045 | − | 0.618170i | \(-0.787874\pi\) |
0.618170 | + | 0.786045i | \(0.287874\pi\) | |||||||
\(48\) | −2.16010 | + | 3.74140i | −0.311783 | + | 0.540024i | ||||
\(49\) | 10.0892 | − | 5.82501i | 1.44132 | − | 0.832145i | ||||
\(50\) | 1.18854 | − | 4.43571i | 0.168085 | − | 0.627304i | ||||
\(51\) | −0.602855 | −0.0844166 | ||||||||
\(52\) | −0.509436 | − | 0.375312i | −0.0706460 | − | 0.0520464i | ||||
\(53\) | −12.3364 | −1.69453 | −0.847266 | − | 0.531169i | \(-0.821753\pi\) | ||||
−0.847266 | + | 0.531169i | \(0.821753\pi\) | |||||||
\(54\) | 1.42470 | + | 0.381747i | 0.193877 | + | 0.0519492i | ||||
\(55\) | −4.54977 | − | 0.227657i | −0.613491 | − | 0.0306973i | ||||
\(56\) | 10.0646 | + | 5.81077i | 1.34493 | + | 0.776497i | ||||
\(57\) | 0.434728 | − | 0.434728i | 0.0575811 | − | 0.0575811i | ||||
\(58\) | −7.79855 | + | 2.08962i | −1.02400 | + | 0.274380i | ||||
\(59\) | −2.37217 | − | 8.85304i | −0.308830 | − | 1.15257i | −0.929598 | − | 0.368574i | \(-0.879846\pi\) |
0.620769 | − | 0.783994i | \(-0.286821\pi\) | |||||||
\(60\) | −0.170446 | + | 0.170446i | −0.0220045 | + | 0.0220045i | ||||
\(61\) | −5.89575 | − | 3.40391i | −0.754873 | − | 0.435826i | 0.0725787 | − | 0.997363i | \(-0.476877\pi\) |
−0.827452 | + | 0.561536i | \(0.810210\pi\) | |||||||
\(62\) | −3.71713 | − | 6.43826i | −0.472076 | − | 0.817659i | ||||
\(63\) | 1.11773 | − | 4.17142i | 0.140820 | − | 0.525549i | ||||
\(64\) | 7.18023i | 0.897528i | ||||||||
\(65\) | 3.09101 | + | 3.86924i | 0.383392 | + | 0.479920i | ||||
\(66\) | −4.10896 | − | 2.65460i | −0.505778 | − | 0.326758i | ||||
\(67\) | 2.37464 | − | 8.86227i | 0.290108 | − | 1.08270i | −0.654917 | − | 0.755701i | \(-0.727296\pi\) |
0.945025 | − | 0.326998i | \(-0.106037\pi\) | |||||||
\(68\) | 0.0916241 | − | 0.0528992i | 0.0111111 | − | 0.00641497i | ||||
\(69\) | −1.91532 | − | 1.10581i | −0.230578 | − | 0.133124i | ||||
\(70\) | 6.18642 | + | 6.18642i | 0.739419 | + | 0.739419i | ||||
\(71\) | 7.44392 | − | 1.99459i | 0.883431 | − | 0.236715i | 0.211544 | − | 0.977368i | \(-0.432151\pi\) |
0.671887 | + | 0.740654i | \(0.265484\pi\) | |||||||
\(72\) | 2.59937 | − | 0.696499i | 0.306338 | − | 0.0820831i | ||||
\(73\) | 8.48375 | + | 8.48375i | 0.992947 | + | 0.992947i | 0.999975 | − | 0.00702788i | \(-0.00223706\pi\) |
−0.00702788 | + | 0.999975i | \(0.502237\pi\) | |||||||
\(74\) | 13.8663 | + | 8.00574i | 1.61193 | + | 0.930648i | ||||
\(75\) | −2.69631 | + | 1.55672i | −0.311344 | + | 0.179754i | ||||
\(76\) | −0.0279251 | + | 0.104218i | −0.00320323 | + | 0.0119546i | ||||
\(77\) | −7.77248 | + | 12.0307i | −0.885756 | + | 1.37103i | ||||
\(78\) | 0.797085 | + | 5.25796i | 0.0902521 | + | 0.595346i | ||||
\(79\) | − | 13.7568i | − | 1.54776i | −0.633335 | − | 0.773878i | \(-0.718314\pi\) | ||
0.633335 | − | 0.773878i | \(-0.281686\pi\) | |||||||
\(80\) | −1.53580 | + | 5.73169i | −0.171708 | + | 0.640822i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 5.93165 | + | 3.42464i | 0.655042 | + | 0.378188i | ||||
\(83\) | −5.50139 | + | 5.50139i | −0.603855 | + | 0.603855i | −0.941333 | − | 0.337478i | \(-0.890426\pi\) |
0.337478 | + | 0.941333i | \(0.390426\pi\) | |||||||
\(84\) | 0.196156 | + | 0.732066i | 0.0214024 | + | 0.0798749i | ||||
\(85\) | −0.799820 | + | 0.214311i | −0.0867527 | + | 0.0232453i | ||||
\(86\) | 4.17717 | − | 4.17717i | 0.450435 | − | 0.450435i | ||||
\(87\) | 4.74047 | + | 2.73691i | 0.508232 | + | 0.293428i | ||||
\(88\) | −8.91410 | − | 0.446035i | −0.950246 | − | 0.0475475i | ||||
\(89\) | 7.03147 | + | 1.88408i | 0.745334 | + | 0.199712i | 0.611447 | − | 0.791285i | \(-0.290588\pi\) |
0.133886 | + | 0.990997i | \(0.457254\pi\) | |||||||
\(90\) | 2.02589 | 0.213547 | ||||||||
\(91\) | 15.3949 | − | 2.33381i | 1.61383 | − | 0.244649i | ||||
\(92\) | 0.388131 | 0.0404654 | ||||||||
\(93\) | −1.30453 | + | 4.86858i | −0.135274 | + | 0.504848i | ||||
\(94\) | −2.07902 | + | 1.20032i | −0.214435 | + | 0.123804i | ||||
\(95\) | 0.422219 | − | 0.731306i | 0.0433188 | − | 0.0750304i | ||||
\(96\) | −0.700012 | + | 0.700012i | −0.0714447 | + | 0.0714447i | ||||
\(97\) | −12.9643 | + | 3.47376i | −1.31632 | + | 0.352707i | −0.847598 | − | 0.530639i | \(-0.821952\pi\) |
−0.468722 | + | 0.883346i | \(0.655285\pi\) | |||||||
\(98\) | 16.5978 | − | 4.44736i | 1.67663 | − | 0.449251i | ||||
\(99\) | 0.697234 | + | 3.24251i | 0.0700747 | + | 0.325884i | ||||
\(100\) | 0.273197 | − | 0.473192i | 0.0273197 | − | 0.0473192i | ||||
\(101\) | −1.88356 | − | 3.26242i | −0.187421 | − | 0.324623i | 0.756969 | − | 0.653451i | \(-0.226680\pi\) |
−0.944390 | + | 0.328828i | \(0.893346\pi\) | |||||||
\(102\) | −0.858886 | − | 0.230138i | −0.0850424 | − | 0.0227870i | ||||
\(103\) | 3.80982i | 0.375392i | 0.982227 | + | 0.187696i | \(0.0601020\pi\) | ||||
−0.982227 | + | 0.187696i | \(0.939898\pi\) | |||||||
\(104\) | 6.05603 | + | 7.58078i | 0.593842 | + | 0.743357i | ||||
\(105\) | − | 5.93165i | − | 0.578870i | ||||||
\(106\) | −17.5756 | − | 4.70937i | −1.70709 | − | 0.457415i | ||||
\(107\) | −11.2041 | + | 6.46866i | −1.08314 | + | 0.625349i | −0.931741 | − | 0.363124i | \(-0.881710\pi\) |
−0.151396 | + | 0.988473i | \(0.548377\pi\) | |||||||
\(108\) | 0.151984 | + | 0.0877479i | 0.0146246 | + | 0.00844354i | ||||
\(109\) | 0.843461 | − | 0.843461i | 0.0807889 | − | 0.0807889i | −0.665558 | − | 0.746346i | \(-0.731806\pi\) |
0.746346 | + | 0.665558i | \(0.231806\pi\) | |||||||
\(110\) | −6.39514 | − | 2.06120i | −0.609753 | − | 0.196528i | ||||
\(111\) | −2.80963 | − | 10.4857i | −0.266678 | − | 0.995256i | ||||
\(112\) | 13.1925 | + | 13.1925i | 1.24658 | + | 1.24658i | ||||
\(113\) | −2.95576 | + | 5.11953i | −0.278055 | + | 0.481605i | −0.970901 | − | 0.239480i | \(-0.923023\pi\) |
0.692847 | + | 0.721085i | \(0.256356\pi\) | |||||||
\(114\) | 0.785312 | − | 0.453400i | 0.0735512 | − | 0.0424648i | ||||
\(115\) | −2.93421 | − | 0.786219i | −0.273616 | − | 0.0733153i | ||||
\(116\) | −0.960633 | −0.0891926 | ||||||||
\(117\) | 2.13858 | − | 2.90284i | 0.197712 | − | 0.268368i | ||||
\(118\) | − | 13.5185i | − | 1.24448i | ||||||
\(119\) | −0.673828 | + | 2.51476i | −0.0617697 | + | 0.230528i | ||||
\(120\) | 3.20104 | − | 1.84812i | 0.292213 | − | 0.168709i | ||||
\(121\) | 1.09807 | − | 10.9451i | 0.0998242 | − | 0.995005i | ||||
\(122\) | −7.10023 | − | 7.10023i | −0.642825 | − | 0.642825i | ||||
\(123\) | −1.20188 | − | 4.48549i | −0.108370 | − | 0.404443i | ||||
\(124\) | −0.228940 | − | 0.854415i | −0.0205594 | − | 0.0767287i | ||||
\(125\) | −7.87999 | + | 7.87999i | −0.704808 | + | 0.704808i | ||||
\(126\) | 3.18485 | − | 5.51632i | 0.283729 | − | 0.491433i | ||||
\(127\) | −4.85479 | − | 8.40874i | −0.430793 | − | 0.746155i | 0.566149 | − | 0.824303i | \(-0.308433\pi\) |
−0.996942 | + | 0.0781481i | \(0.975099\pi\) | |||||||
\(128\) | −3.25347 | + | 12.1421i | −0.287569 | + | 1.07322i | ||||
\(129\) | −4.00514 | −0.352633 | ||||||||
\(130\) | 2.92668 | + | 6.69248i | 0.256687 | + | 0.586970i | ||||
\(131\) | − | 7.68938i | − | 0.671824i | −0.941893 | − | 0.335912i | \(-0.890956\pi\) | ||
0.941893 | − | 0.335912i | \(-0.109044\pi\) | |||||||
\(132\) | −0.390491 | − | 0.431628i | −0.0339879 | − | 0.0375684i | ||||
\(133\) | −1.32752 | − | 2.29934i | −0.115111 | − | 0.199378i | ||||
\(134\) | 6.76629 | − | 11.7196i | 0.584518 | − | 1.01242i | ||||
\(135\) | −0.971227 | − | 0.971227i | −0.0835899 | − | 0.0835899i | ||||
\(136\) | −1.56704 | + | 0.419888i | −0.134373 | + | 0.0360051i | ||||
\(137\) | 1.18418 | + | 4.41942i | 0.101171 | + | 0.377576i | 0.997883 | − | 0.0650393i | \(-0.0207173\pi\) |
−0.896711 | + | 0.442616i | \(0.854051\pi\) | |||||||
\(138\) | −2.30662 | − | 2.30662i | −0.196352 | − | 0.196352i | ||||
\(139\) | −11.0038 | − | 6.35304i | −0.933330 | − | 0.538858i | −0.0454665 | − | 0.998966i | \(-0.514477\pi\) |
−0.887863 | + | 0.460108i | \(0.847811\pi\) | |||||||
\(140\) | 0.520490 | + | 0.901514i | 0.0439894 | + | 0.0761919i | ||||
\(141\) | 1.57215 | + | 0.421256i | 0.132399 | + | 0.0354761i | ||||
\(142\) | 11.3668 | 0.953878 | ||||||||
\(143\) | −9.70432 | + | 6.98757i | −0.811516 | + | 0.584330i | ||||
\(144\) | 4.32019 | 0.360016 | ||||||||
\(145\) | 7.26224 | + | 1.94591i | 0.603096 | + | 0.161599i | ||||
\(146\) | 8.84814 | + | 15.3254i | 0.732277 | + | 1.26834i | ||||
\(147\) | −10.0892 | − | 5.82501i | −0.832145 | − | 0.480439i | ||||
\(148\) | 1.34711 | + | 1.34711i | 0.110732 | + | 0.110732i | ||||
\(149\) | 3.48349 | + | 13.0006i | 0.285379 | + | 1.06505i | 0.948562 | + | 0.316591i | \(0.102538\pi\) |
−0.663183 | + | 0.748457i | \(0.730795\pi\) | |||||||
\(150\) | −4.43571 | + | 1.18854i | −0.362174 | + | 0.0970442i | ||||
\(151\) | 0.616275 | + | 0.616275i | 0.0501517 | + | 0.0501517i | 0.731738 | − | 0.681586i | \(-0.238710\pi\) |
−0.681586 | + | 0.731738i | \(0.738710\pi\) | |||||||
\(152\) | 0.827230 | − | 1.43280i | 0.0670972 | − | 0.116216i | ||||
\(153\) | 0.301427 | + | 0.522088i | 0.0243690 | + | 0.0422083i | ||||
\(154\) | −15.6661 | + | 14.1731i | −1.26241 | + | 1.14210i | ||||
\(155\) | 6.92300i | 0.556069i | ||||||||
\(156\) | −0.0703116 | + | 0.628840i | −0.00562943 | + | 0.0503475i | ||||
\(157\) | 4.87547 | 0.389105 | 0.194552 | − | 0.980892i | \(-0.437675\pi\) | ||||
0.194552 | + | 0.980892i | \(0.437675\pi\) | |||||||
\(158\) | 5.25160 | − | 19.5992i | 0.417795 | − | 1.55923i | ||||
\(159\) | 6.16819 | + | 10.6836i | 0.489169 | + | 0.847266i | ||||
\(160\) | −0.679871 | + | 1.17757i | −0.0537485 | + | 0.0930952i | ||||
\(161\) | −6.75361 | + | 6.75361i | −0.532259 | + | 0.532259i | ||||
\(162\) | −0.381747 | − | 1.42470i | −0.0299929 | − | 0.111935i | ||||
\(163\) | −4.83304 | − | 18.0371i | −0.378553 | − | 1.41278i | −0.848084 | − | 0.529862i | \(-0.822244\pi\) |
0.469531 | − | 0.882916i | \(-0.344423\pi\) | |||||||
\(164\) | 0.576259 | + | 0.576259i | 0.0449982 | + | 0.0449982i | ||||
\(165\) | 2.07773 | + | 4.05404i | 0.161751 | + | 0.315607i | ||||
\(166\) | −9.93795 | + | 5.73768i | −0.771334 | + | 0.445330i | ||||
\(167\) | −2.91807 | + | 10.8904i | −0.225807 | + | 0.842722i | 0.756273 | + | 0.654256i | \(0.227018\pi\) |
−0.982080 | + | 0.188466i | \(0.939649\pi\) | |||||||
\(168\) | − | 11.6215i | − | 0.896621i | ||||||
\(169\) | 12.6790 | + | 2.87120i | 0.975305 | + | 0.220862i | ||||
\(170\) | −1.22132 | −0.0936706 | ||||||||
\(171\) | −0.593849 | − | 0.159121i | −0.0454128 | − | 0.0121683i | ||||
\(172\) | 0.608716 | − | 0.351442i | 0.0464142 | − | 0.0267972i | ||||
\(173\) | 0.996067 | − | 1.72524i | 0.0757296 | − | 0.131167i | −0.825674 | − | 0.564148i | \(-0.809205\pi\) |
0.901403 | + | 0.432980i | \(0.142538\pi\) | |||||||
\(174\) | 5.70894 | + | 5.70894i | 0.432793 | + | 0.432793i | ||||
\(175\) | 3.47997 | + | 12.9874i | 0.263061 | + | 0.981758i | ||||
\(176\) | −13.6376 | − | 4.39550i | −1.02797 | − | 0.331323i | ||||
\(177\) | −6.48088 | + | 6.48088i | −0.487133 | + | 0.487133i | ||||
\(178\) | 9.29848 | + | 5.36848i | 0.696950 | + | 0.402384i | ||||
\(179\) | 18.3369 | − | 10.5868i | 1.37056 | − | 0.791296i | 0.379566 | − | 0.925165i | \(-0.376073\pi\) |
0.990999 | + | 0.133869i | \(0.0427401\pi\) | |||||||
\(180\) | 0.232834 | + | 0.0623876i | 0.0173544 | + | 0.00465010i | ||||
\(181\) | − | 15.3435i | − | 1.14047i | −0.821481 | − | 0.570237i | \(-0.806852\pi\) | ||
0.821481 | − | 0.570237i | \(-0.193148\pi\) | |||||||
\(182\) | 22.8240 | + | 2.55199i | 1.69183 | + | 0.189166i | ||||
\(183\) | 6.80782i | 0.503249i | ||||||||
\(184\) | −5.74883 | − | 1.54039i | −0.423809 | − | 0.113559i | ||||
\(185\) | −7.45518 | − | 12.9128i | −0.548116 | − | 0.949364i | ||||
\(186\) | −3.71713 | + | 6.43826i | −0.272553 | + | 0.472076i | ||||
\(187\) | −0.420331 | − | 1.95476i | −0.0307376 | − | 0.142946i | ||||
\(188\) | −0.275905 | + | 0.0739286i | −0.0201225 | + | 0.00539180i | ||||
\(189\) | −4.17142 | + | 1.11773i | −0.303426 | + | 0.0813027i | ||||
\(190\) | 0.880709 | − | 0.880709i | 0.0638933 | − | 0.0638933i | ||||
\(191\) | 7.36438 | − | 12.7555i | 0.532868 | − | 0.922954i | −0.466395 | − | 0.884576i | \(-0.654448\pi\) |
0.999263 | − | 0.0383778i | \(-0.0122190\pi\) | |||||||
\(192\) | 6.21826 | − | 3.59011i | 0.448764 | − | 0.259094i | ||||
\(193\) | 2.91553 | − | 10.8809i | 0.209864 | − | 0.783225i | −0.778047 | − | 0.628206i | \(-0.783790\pi\) |
0.987912 | − | 0.155019i | \(-0.0495438\pi\) | |||||||
\(194\) | −19.7962 | −1.42129 | ||||||||
\(195\) | 1.80536 | − | 4.61151i | 0.129284 | − | 0.330237i | ||||
\(196\) | 2.04453 | 0.146038 | ||||||||
\(197\) | −9.41073 | − | 2.52160i | −0.670487 | − | 0.179656i | −0.0925127 | − | 0.995712i | \(-0.529490\pi\) |
−0.577974 | + | 0.816055i | \(0.696157\pi\) | |||||||
\(198\) | −0.244469 | + | 4.88576i | −0.0173737 | + | 0.347216i | ||||
\(199\) | −9.96615 | − | 5.75396i | −0.706481 | − | 0.407887i | 0.103275 | − | 0.994653i | \(-0.467068\pi\) |
−0.809757 | + | 0.586766i | \(0.800401\pi\) | |||||||
\(200\) | −5.92446 | + | 5.92446i | −0.418923 | + | 0.418923i | ||||
\(201\) | −8.86227 | + | 2.37464i | −0.625096 | + | 0.167494i | ||||
\(202\) | −1.43808 | − | 5.36701i | −0.101183 | − | 0.377621i | ||||
\(203\) | 16.7154 | − | 16.7154i | 1.17319 | − | 1.17319i | ||||
\(204\) | −0.0916241 | − | 0.0528992i | −0.00641497 | − | 0.00370369i | ||||
\(205\) | −3.18913 | − | 5.52373i | −0.222738 | − | 0.385794i | ||||
\(206\) | −1.45438 | + | 5.42784i | −0.101332 | + | 0.378175i | ||||
\(207\) | 2.21162i | 0.153719i | ||||||||
\(208\) | 6.24113 | + | 14.2717i | 0.432745 | + | 0.989564i | ||||
\(209\) | 1.71272 | + | 1.10650i | 0.118471 | + | 0.0765383i | ||||
\(210\) | 2.26439 | − | 8.45081i | 0.156258 | − | 0.583161i | ||||
\(211\) | 11.5406 | − | 6.66295i | 0.794485 | − | 0.458696i | −0.0470539 | − | 0.998892i | \(-0.514983\pi\) |
0.841539 | + | 0.540196i | \(0.181650\pi\) | |||||||
\(212\) | −1.87493 | − | 1.08249i | −0.128771 | − | 0.0743458i | ||||
\(213\) | −5.44933 | − | 5.44933i | −0.373382 | − | 0.373382i | ||||
\(214\) | −18.4318 | + | 4.93878i | −1.25997 | + | 0.337608i | ||||
\(215\) | −5.31370 | + | 1.42380i | −0.362391 | + | 0.0971025i | ||||
\(216\) | −1.90287 | − | 1.90287i | −0.129474 | − | 0.129474i | ||||
\(217\) | 18.8508 | + | 10.8835i | 1.27967 | + | 0.738819i | ||||
\(218\) | 1.52367 | − | 0.879689i | 0.103196 | − | 0.0595800i | ||||
\(219\) | 3.10527 | − | 11.5890i | 0.209834 | − | 0.783113i | ||||
\(220\) | −0.671514 | − | 0.433832i | −0.0452735 | − | 0.0292490i | ||||
\(221\) | −1.28925 | + | 1.74999i | −0.0867246 | + | 0.117717i | ||||
\(222\) | − | 16.0115i | − | 1.07462i | ||||||
\(223\) | −5.95008 | + | 22.2060i | −0.398447 | + | 1.48702i | 0.417382 | + | 0.908731i | \(0.362948\pi\) |
−0.815829 | + | 0.578293i | \(0.803719\pi\) | |||||||
\(224\) | 2.13762 | + | 3.70247i | 0.142826 | + | 0.247381i | ||||
\(225\) | 2.69631 | + | 1.55672i | 0.179754 | + | 0.103781i | ||||
\(226\) | −6.16543 | + | 6.16543i | −0.410118 | + | 0.410118i | ||||
\(227\) | −6.20018 | − | 23.1394i | −0.411520 | − | 1.53581i | −0.791705 | − | 0.610904i | \(-0.790806\pi\) |
0.380185 | − | 0.924911i | \(-0.375860\pi\) | |||||||
\(228\) | 0.104218 | − | 0.0279251i | 0.00690200 | − | 0.00184939i | ||||
\(229\) | −9.65421 | + | 9.65421i | −0.637968 | + | 0.637968i | −0.950054 | − | 0.312086i | \(-0.898972\pi\) |
0.312086 | + | 0.950054i | \(0.398972\pi\) | |||||||
\(230\) | −3.88022 | − | 2.24025i | −0.255854 | − | 0.147718i | ||||
\(231\) | 14.3052 | + | 0.715789i | 0.941211 | + | 0.0470954i | ||||
\(232\) | 14.2285 | + | 3.81251i | 0.934146 | + | 0.250304i | ||||
\(233\) | 26.9246 | 1.76389 | 0.881944 | − | 0.471354i | \(-0.156234\pi\) | ||||
0.881944 | + | 0.471354i | \(0.156234\pi\) | |||||||
\(234\) | 4.15498 | − | 3.31927i | 0.271620 | − | 0.216988i | ||||
\(235\) | 2.23556 | 0.145832 | ||||||||
\(236\) | 0.416305 | − | 1.55367i | 0.0270991 | − | 0.101135i | ||||
\(237\) | −11.9137 | + | 6.87838i | −0.773878 | + | 0.446799i | ||||
\(238\) | −1.92000 | + | 3.32554i | −0.124455 | + | 0.215563i | ||||
\(239\) | −8.79544 | + | 8.79544i | −0.568930 | + | 0.568930i | −0.931829 | − | 0.362899i | \(-0.881787\pi\) |
0.362899 | + | 0.931829i | \(0.381787\pi\) | |||||||
\(240\) | 5.73169 | − | 1.53580i | 0.369979 | − | 0.0991356i | ||||
\(241\) | 20.6313 | − | 5.52814i | 1.32898 | − | 0.356099i | 0.476644 | − | 0.879096i | \(-0.341853\pi\) |
0.852334 | + | 0.522998i | \(0.175186\pi\) | |||||||
\(242\) | 5.74265 | − | 15.1742i | 0.369152 | − | 0.975436i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −0.597372 | − | 1.03468i | −0.0382428 | − | 0.0662385i | ||||
\(245\) | −15.4563 | − | 4.14151i | −0.987469 | − | 0.264592i | ||||
\(246\) | − | 6.84928i | − | 0.436694i | ||||||
\(247\) | −0.332244 | − | 2.19165i | −0.0211402 | − | 0.139451i | ||||
\(248\) | 13.5638i | 0.861304i | ||||||||
\(249\) | 7.51503 | + | 2.01365i | 0.476246 | + | 0.127610i | ||||
\(250\) | −14.2348 | + | 8.21845i | −0.900286 | + | 0.519780i | ||||
\(251\) | 10.2387 | + | 5.91130i | 0.646259 | + | 0.373118i | 0.787021 | − | 0.616926i | \(-0.211622\pi\) |
−0.140763 | + | 0.990043i | \(0.544955\pi\) | |||||||
\(252\) | 0.535909 | − | 0.535909i | 0.0337591 | − | 0.0337591i | ||||
\(253\) | 2.25018 | − | 6.98146i | 0.141467 | − | 0.438921i | ||||
\(254\) | −3.70660 | − | 13.8332i | −0.232573 | − | 0.867973i | ||||
\(255\) | 0.585509 | + | 0.585509i | 0.0366660 | + | 0.0366660i | ||||
\(256\) | −2.09021 | + | 3.62035i | −0.130638 | + | 0.226272i | ||||
\(257\) | −23.4522 | + | 13.5402i | −1.46291 | + | 0.844612i | −0.999145 | − | 0.0413458i | \(-0.986835\pi\) |
−0.463766 | + | 0.885958i | \(0.653502\pi\) | |||||||
\(258\) | −5.70611 | − | 1.52895i | −0.355247 | − | 0.0951882i | ||||
\(259\) | −46.8805 | −2.91301 | ||||||||
\(260\) | 0.130265 | + | 0.859291i | 0.00807869 | + | 0.0532910i | ||||
\(261\) | − | 5.47383i | − | 0.338821i | ||||||
\(262\) | 2.93539 | − | 10.9550i | 0.181349 | − | 0.676805i | ||||
\(263\) | 19.0763 | − | 11.0137i | 1.17630 | − | 0.679135i | 0.221142 | − | 0.975242i | \(-0.429022\pi\) |
0.955155 | + | 0.296106i | \(0.0956883\pi\) | |||||||
\(264\) | 4.07077 | + | 7.94285i | 0.250539 | + | 0.488849i | ||||
\(265\) | 11.9814 | + | 11.9814i | 0.736013 | + | 0.736013i | ||||
\(266\) | −1.01356 | − | 3.78264i | −0.0621451 | − | 0.231929i | ||||
\(267\) | −1.88408 | − | 7.03147i | −0.115304 | − | 0.430319i | ||||
\(268\) | 1.13855 | − | 1.13855i | 0.0695481 | − | 0.0695481i | ||||
\(269\) | 1.09246 | − | 1.89220i | 0.0666086 | − | 0.115369i | −0.830798 | − | 0.556574i | \(-0.812115\pi\) |
0.897406 | + | 0.441205i | \(0.145449\pi\) | |||||||
\(270\) | −1.01294 | − | 1.75447i | −0.0616457 | − | 0.106774i | ||||
\(271\) | −0.465197 | + | 1.73614i | −0.0282587 | + | 0.105463i | −0.978615 | − | 0.205702i | \(-0.934052\pi\) |
0.950356 | + | 0.311165i | \(0.100719\pi\) | |||||||
\(272\) | −2.60445 | −0.157918 | ||||||||
\(273\) | −9.71860 | − | 12.1655i | −0.588196 | − | 0.736289i | ||||
\(274\) | 6.74840i | 0.407685i | ||||||||
\(275\) | −6.92763 | − | 7.65743i | −0.417752 | − | 0.461760i | ||||
\(276\) | −0.194065 | − | 0.336131i | −0.0116814 | − | 0.0202327i | ||||
\(277\) | 5.90148 | − | 10.2217i | 0.354585 | − | 0.614160i | −0.632461 | − | 0.774592i | \(-0.717955\pi\) |
0.987047 | + | 0.160432i | \(0.0512887\pi\) | |||||||
\(278\) | −13.2518 | − | 13.2518i | −0.794792 | − | 0.794792i | ||||
\(279\) | 4.86858 | − | 1.30453i | 0.291474 | − | 0.0781003i | ||||
\(280\) | −4.13139 | − | 15.4185i | −0.246898 | − | 0.921434i | ||||
\(281\) | −7.24760 | − | 7.24760i | −0.432356 | − | 0.432356i | 0.457073 | − | 0.889429i | \(-0.348898\pi\) |
−0.889429 | + | 0.457073i | \(0.848898\pi\) | |||||||
\(282\) | 2.07902 | + | 1.20032i | 0.123804 | + | 0.0714783i | ||||
\(283\) | 1.44242 | + | 2.49835i | 0.0857431 | + | 0.148511i | 0.905708 | − | 0.423903i | \(-0.139340\pi\) |
−0.819965 | + | 0.572414i | \(0.806007\pi\) | |||||||
\(284\) | 1.30638 | + | 0.350042i | 0.0775191 | + | 0.0207712i | ||||
\(285\) | −0.844439 | −0.0500202 | ||||||||
\(286\) | −16.4932 | + | 6.25058i | −0.975264 | + | 0.369605i | ||||
\(287\) | −20.0542 | −1.18376 | ||||||||
\(288\) | 0.956235 | + | 0.256222i | 0.0563467 | + | 0.0150980i | ||||
\(289\) | 8.31828 | + | 14.4077i | 0.489311 | + | 0.847511i | ||||
\(290\) | 9.60366 | + | 5.54467i | 0.563946 | + | 0.325595i | ||||
\(291\) | 9.49049 | + | 9.49049i | 0.556342 | + | 0.556342i | ||||
\(292\) | 0.544961 | + | 2.03382i | 0.0318914 | + | 0.119020i | ||||
\(293\) | 22.2475 | − | 5.96119i | 1.29971 | − | 0.348257i | 0.458370 | − | 0.888761i | \(-0.348433\pi\) |
0.841341 | + | 0.540505i | \(0.181767\pi\) | |||||||
\(294\) | −12.1504 | − | 12.1504i | −0.708626 | − | 0.708626i | ||||
\(295\) | −6.29440 | + | 10.9022i | −0.366474 | + | 0.634752i | ||||
\(296\) | −14.6065 | − | 25.2992i | −0.848986 | − | 1.47049i | ||||
\(297\) | 2.45948 | − | 2.22508i | 0.142713 | − | 0.129112i | ||||
\(298\) | 19.8517i | 1.14998i | ||||||||
\(299\) | −7.30607 | + | 3.19501i | −0.422521 | + | 0.184772i | ||||
\(300\) | −0.546395 | −0.0315461 | ||||||||
\(301\) | −4.47665 | + | 16.7071i | −0.258030 | + | 0.962981i | ||||
\(302\) | 0.642745 | + | 1.11327i | 0.0369858 | + | 0.0640613i | ||||
\(303\) | −1.88356 | + | 3.26242i | −0.108208 | + | 0.187421i | ||||
\(304\) | 1.87811 | − | 1.87811i | 0.107717 | − | 0.107717i | ||||
\(305\) | 2.42014 | + | 9.03208i | 0.138577 | + | 0.517176i | ||||
\(306\) | 0.230138 | + | 0.858886i | 0.0131561 | + | 0.0490993i | ||||
\(307\) | 17.9596 | + | 17.9596i | 1.02501 | + | 1.02501i | 0.999679 | + | 0.0253307i | \(0.00806387\pi\) |
0.0253307 | + | 0.999679i | \(0.491936\pi\) | |||||||
\(308\) | −2.23696 | + | 1.14646i | −0.127463 | + | 0.0653256i | ||||
\(309\) | 3.29940 | − | 1.90491i | 0.187696 | − | 0.108366i | ||||
\(310\) | −2.64283 | + | 9.86318i | −0.150103 | + | 0.560191i | ||||
\(311\) | − | 17.6408i | − | 1.00032i | −0.865933 | − | 0.500160i | \(-0.833275\pi\) | ||
0.865933 | − | 0.500160i | \(-0.166725\pi\) | |||||||
\(312\) | 3.53713 | − | 9.03507i | 0.200251 | − | 0.511510i | ||||
\(313\) | −29.9083 | −1.69052 | −0.845259 | − | 0.534356i | \(-0.820554\pi\) | ||||
−0.845259 | + | 0.534356i | \(0.820554\pi\) | |||||||
\(314\) | 6.94607 | + | 1.86119i | 0.391990 | + | 0.105033i | ||||
\(315\) | −5.13696 | + | 2.96583i | −0.289435 | + | 0.167105i | ||||
\(316\) | 1.20713 | − | 2.09080i | 0.0679061 | − | 0.117617i | ||||
\(317\) | 6.22820 | + | 6.22820i | 0.349810 | + | 0.349810i | 0.860039 | − | 0.510229i | \(-0.170439\pi\) |
−0.510229 | + | 0.860039i | \(0.670439\pi\) | |||||||
\(318\) | 4.70937 | + | 17.5756i | 0.264088 | + | 0.985592i | ||||
\(319\) | −5.56925 | + | 17.2793i | −0.311818 | + | 0.967455i | ||||
\(320\) | 6.97363 | − | 6.97363i | 0.389838 | − | 0.389838i | ||||
\(321\) | 11.2041 | + | 6.46866i | 0.625349 | + | 0.361045i | ||||
\(322\) | −12.2000 | + | 7.04369i | −0.679881 | + | 0.392529i | ||||
\(323\) | 0.358005 | + | 0.0959271i | 0.0199199 | + | 0.00533753i | ||||
\(324\) | − | 0.175496i | − | 0.00974976i | ||||||
\(325\) | −1.24738 | + | 11.1561i | −0.0691924 | + | 0.618831i | ||||
\(326\) | − | 27.5425i | − | 1.52544i | ||||||
\(327\) | −1.15219 | − | 0.308728i | −0.0637162 | − | 0.0170727i | ||||
\(328\) | −6.24827 | − | 10.8223i | −0.345003 | − | 0.597563i | ||||
\(329\) | 3.51447 | − | 6.08723i | 0.193759 | − | 0.335600i | ||||
\(330\) | 1.41252 | + | 6.56895i | 0.0777565 | + | 0.361609i | ||||
\(331\) | 18.1172 | − | 4.85449i | 0.995811 | − | 0.266827i | 0.276121 | − | 0.961123i | \(-0.410951\pi\) |
0.719690 | + | 0.694296i | \(0.244284\pi\) | |||||||
\(332\) | −1.31886 | + | 0.353386i | −0.0723816 | + | 0.0193946i | ||||
\(333\) | −7.67604 | + | 7.67604i | −0.420645 | + | 0.420645i | ||||
\(334\) | −8.31473 | + | 14.4015i | −0.454962 | + | 0.788016i | ||||
\(335\) | −10.9136 | + | 6.30097i | −0.596273 | + | 0.344259i | ||||
\(336\) | 4.82880 | − | 18.0213i | 0.263433 | − | 0.983144i | ||||
\(337\) | −3.65081 | −0.198872 | −0.0994362 | − | 0.995044i | \(-0.531704\pi\) | ||||
−0.0994362 | + | 0.995044i | \(0.531704\pi\) | |||||||
\(338\) | 16.9676 | + | 8.93075i | 0.922917 | + | 0.485769i | ||||
\(339\) | 5.91152 | 0.321070 | ||||||||
\(340\) | −0.140365 | − | 0.0376107i | −0.00761236 | − | 0.00203973i | ||||
\(341\) | −16.6960 | − | 0.835417i | −0.904138 | − | 0.0452404i | ||||
\(342\) | −0.785312 | − | 0.453400i | −0.0424648 | − | 0.0245171i | ||||
\(343\) | −14.1997 | + | 14.1997i | −0.766714 | + | 0.766714i | ||||
\(344\) | −10.4108 | + | 2.78957i | −0.561314 | + | 0.150404i | ||||
\(345\) | 0.786219 | + | 2.93421i | 0.0423286 | + | 0.157972i | ||||
\(346\) | 2.07770 | − | 2.07770i | 0.111698 | − | 0.111698i | ||||
\(347\) | −28.5017 | − | 16.4555i | −1.53005 | − | 0.883376i | −0.999359 | − | 0.0358122i | \(-0.988598\pi\) |
−0.530694 | − | 0.847564i | \(-0.678068\pi\) | |||||||
\(348\) | 0.480317 | + | 0.831933i | 0.0257477 | + | 0.0445963i | ||||
\(349\) | 2.76148 | − | 10.3060i | 0.147818 | − | 0.551666i | −0.851795 | − | 0.523875i | \(-0.824486\pi\) |
0.999614 | − | 0.0277913i | \(-0.00884737\pi\) | |||||||
\(350\) | 19.8316i | 1.06005i | ||||||||
\(351\) | −3.58322 | − | 0.400646i | −0.191258 | − | 0.0213849i | ||||
\(352\) | −2.75787 | − | 1.78172i | −0.146995 | − | 0.0949662i | ||||
\(353\) | −2.63681 | + | 9.84070i | −0.140343 | + | 0.523768i | 0.859575 | + | 0.511009i | \(0.170728\pi\) |
−0.999919 | + | 0.0127589i | \(0.995939\pi\) | |||||||
\(354\) | −11.7073 | + | 6.75924i | −0.622239 | + | 0.359250i | ||||
\(355\) | −9.16694 | − | 5.29253i | −0.486531 | − | 0.280899i | ||||
\(356\) | 0.903345 | + | 0.903345i | 0.0478772 | + | 0.0478772i | ||||
\(357\) | 2.51476 | − | 0.673828i | 0.133095 | − | 0.0356627i | ||||
\(358\) | 30.1660 | − | 8.08297i | 1.59432 | − | 0.427198i | ||||
\(359\) | 10.0933 | + | 10.0933i | 0.532703 | + | 0.532703i | 0.921376 | − | 0.388673i | \(-0.127066\pi\) |
−0.388673 | + | 0.921376i | \(0.627066\pi\) | |||||||
\(360\) | −3.20104 | − | 1.84812i | −0.168709 | − | 0.0974044i | ||||
\(361\) | 16.1271 | − | 9.31101i | 0.848797 | − | 0.490053i | ||||
\(362\) | 5.85733 | − | 21.8599i | 0.307854 | − | 1.14893i | ||||
\(363\) | −10.0277 | + | 4.52158i | −0.526319 | + | 0.237321i | ||||
\(364\) | 2.54456 | + | 0.996171i | 0.133371 | + | 0.0522135i | ||||
\(365\) | − | 16.4793i | − | 0.862566i | ||||||
\(366\) | −2.59887 | + | 9.69910i | −0.135845 | + | 0.506980i | ||||
\(367\) | 1.94841 | + | 3.37474i | 0.101706 | + | 0.176160i | 0.912388 | − | 0.409327i | \(-0.134237\pi\) |
−0.810682 | + | 0.585487i | \(0.800903\pi\) | |||||||
\(368\) | −8.27456 | − | 4.77732i | −0.431341 | − | 0.249035i | ||||
\(369\) | −3.28361 | + | 3.28361i | −0.170938 | + | 0.170938i | ||||
\(370\) | −5.69198 | − | 21.2428i | −0.295912 | − | 1.10436i | ||||
\(371\) | 51.4602 | − | 13.7887i | 2.67168 | − | 0.715874i | ||||
\(372\) | −0.625475 | + | 0.625475i | −0.0324294 | + | 0.0324294i | ||||
\(373\) | −3.80079 | − | 2.19439i | −0.196798 | − | 0.113621i | 0.398363 | − | 0.917228i | \(-0.369578\pi\) |
−0.595161 | + | 0.803607i | \(0.702912\pi\) | |||||||
\(374\) | 0.147379 | − | 2.94541i | 0.00762081 | − | 0.152303i | ||||
\(375\) | 10.7643 | + | 2.88428i | 0.555864 | + | 0.148943i | ||||
\(376\) | 4.37999 | 0.225881 | ||||||||
\(377\) | 18.0827 | − | 7.90772i | 0.931307 | − | 0.407268i | ||||
\(378\) | −6.36970 | −0.327622 | ||||||||
\(379\) | −6.95472 | + | 25.9554i | −0.357240 | + | 1.33324i | 0.520402 | + | 0.853922i | \(0.325782\pi\) |
−0.877642 | + | 0.479317i | \(0.840884\pi\) | |||||||
\(380\) | 0.128341 | − | 0.0740977i | 0.00658375 | − | 0.00380113i | ||||
\(381\) | −4.85479 | + | 8.40874i | −0.248718 | + | 0.430793i | ||||
\(382\) | 15.3614 | − | 15.3614i | 0.785957 | − | 0.785957i | ||||
\(383\) | −3.13216 | + | 0.839259i | −0.160046 | + | 0.0428841i | −0.337952 | − | 0.941163i | \(-0.609734\pi\) |
0.177906 | + | 0.984047i | \(0.443068\pi\) | |||||||
\(384\) | 12.1421 | − | 3.25347i | 0.619625 | − | 0.166028i | ||||
\(385\) | 19.2334 | − | 4.13575i | 0.980226 | − | 0.210777i | ||||
\(386\) | 8.30750 | − | 14.3890i | 0.422841 | − | 0.732381i | ||||
\(387\) | 2.00257 | + | 3.46855i | 0.101796 | + | 0.176316i | ||||
\(388\) | −2.27517 | − | 0.609630i | −0.115504 | − | 0.0309493i | ||||
\(389\) | 32.0226i | 1.62361i | 0.583927 | + | 0.811806i | \(0.301515\pi\) | ||||
−0.583927 | + | 0.811806i | \(0.698485\pi\) | |||||||
\(390\) | 4.33252 | − | 5.88082i | 0.219386 | − | 0.297787i | ||||
\(391\) | − | 1.33329i | − | 0.0674273i | ||||||
\(392\) | −30.2827 | − | 8.11423i | −1.52951 | − | 0.409830i | ||||
\(393\) | −6.65920 | + | 3.84469i | −0.335912 | + | 0.193939i | ||||
\(394\) | −12.4448 | − | 7.18503i | −0.626962 | − | 0.361977i | ||||
\(395\) | −13.3609 | + | 13.3609i | −0.672262 | + | 0.672262i | ||||
\(396\) | −0.178555 | + | 0.553989i | −0.00897272 | + | 0.0278390i | ||||
\(397\) | 0.267945 | + | 0.999985i | 0.0134478 | + | 0.0501878i | 0.972324 | − | 0.233638i | \(-0.0750630\pi\) |
−0.958876 | + | 0.283826i | \(0.908396\pi\) | |||||||
\(398\) | −12.0022 | − | 12.0022i | −0.601616 | − | 0.601616i | ||||
\(399\) | −1.32752 | + | 2.29934i | −0.0664593 | + | 0.115111i | ||||
\(400\) | −11.6486 | + | 6.72532i | −0.582430 | + | 0.336266i | ||||
\(401\) | −14.3052 | − | 3.83308i | −0.714370 | − | 0.191415i | −0.116712 | − | 0.993166i | \(-0.537235\pi\) |
−0.597658 | + | 0.801751i | \(0.703902\pi\) | |||||||
\(402\) | −13.5326 | −0.674943 | ||||||||
\(403\) | 11.3429 | + | 14.1987i | 0.565028 | + | 0.707287i | ||||
\(404\) | − | 0.661113i | − | 0.0328916i | ||||||
\(405\) | −0.355494 | + | 1.32672i | −0.0176646 | + | 0.0659253i | ||||
\(406\) | 30.1954 | − | 17.4333i | 1.49857 | − | 0.865201i | ||||
\(407\) | 32.0409 | − | 16.4212i | 1.58821 | − | 0.813969i | ||||
\(408\) | 1.14715 | + | 1.14715i | 0.0567926 | + | 0.0567926i | ||||
\(409\) | 1.14958 | + | 4.29030i | 0.0568431 | + | 0.212141i | 0.988506 | − | 0.151183i | \(-0.0483083\pi\) |
−0.931663 | + | 0.363325i | \(0.881642\pi\) | |||||||
\(410\) | −2.43488 | − | 9.08709i | −0.120250 | − | 0.448779i | ||||
\(411\) | 3.23524 | − | 3.23524i | 0.159583 | − | 0.159583i | ||||
\(412\) | −0.334303 | + | 0.579030i | −0.0164699 | + | 0.0285268i | ||||
\(413\) | 19.7906 | + | 34.2783i | 0.973831 | + | 1.68672i | ||||
\(414\) | −0.844280 | + | 3.15090i | −0.0414941 | + | 0.154858i | ||||
\(415\) | 10.6862 | 0.524564 | ||||||||
\(416\) | 0.534990 | + | 3.52906i | 0.0262301 | + | 0.173026i | ||||
\(417\) | 12.7061i | 0.622220i | ||||||||
\(418\) | 2.01770 | + | 2.23025i | 0.0986889 | + | 0.109085i | ||||
\(419\) | 4.20883 | + | 7.28991i | 0.205615 | + | 0.356135i | 0.950328 | − | 0.311249i | \(-0.100747\pi\) |
−0.744714 | + | 0.667384i | \(0.767414\pi\) | |||||||
\(420\) | 0.520490 | − | 0.901514i | 0.0253973 | − | 0.0439894i | ||||
\(421\) | 22.2254 | + | 22.2254i | 1.08320 | + | 1.08320i | 0.996209 | + | 0.0869907i | \(0.0277250\pi\) |
0.0869907 | + | 0.996209i | \(0.472275\pi\) | |||||||
\(422\) | 18.9854 | − | 5.08712i | 0.924194 | − | 0.247637i | ||||
\(423\) | −0.421256 | − | 1.57215i | −0.0204822 | − | 0.0764404i | ||||
\(424\) | 23.4745 | + | 23.4745i | 1.14002 | + | 1.14002i | ||||
\(425\) | −1.62549 | − | 0.938475i | −0.0788477 | − | 0.0455227i | ||||
\(426\) | −5.68338 | − | 9.84391i | −0.275361 | − | 0.476939i | ||||
\(427\) | 28.3983 | + | 7.60929i | 1.37429 | + | 0.368240i | ||||
\(428\) | −2.27044 | −0.109746 | ||||||||
\(429\) | 10.9036 | + | 4.91041i | 0.526429 | + | 0.237077i | ||||
\(430\) | −8.11395 | −0.391290 | ||||||||
\(431\) | 32.6412 | + | 8.74620i | 1.57227 | + | 0.421289i | 0.936523 | − | 0.350605i | \(-0.114024\pi\) |
0.635750 | + | 0.771895i | \(0.280691\pi\) | |||||||
\(432\) | −2.16010 | − | 3.74140i | −0.103928 | − | 0.180008i | ||||
\(433\) | 15.1842 | + | 8.76658i | 0.729704 | + | 0.421295i | 0.818314 | − | 0.574771i | \(-0.194909\pi\) |
−0.0886097 | + | 0.996066i | \(0.528242\pi\) | |||||||
\(434\) | 22.7019 | + | 22.7019i | 1.08973 | + | 1.08973i | ||||
\(435\) | −1.94591 | − | 7.26224i | −0.0932993 | − | 0.348198i | ||||
\(436\) | 0.202204 | − | 0.0541805i | 0.00968383 | − | 0.00259477i | ||||
\(437\) | 0.961454 | + | 0.961454i | 0.0459926 | + | 0.0459926i | ||||
\(438\) | 8.84814 | − | 15.3254i | 0.422780 | − | 0.732277i | ||||
\(439\) | −17.7664 | − | 30.7724i | −0.847946 | − | 1.46869i | −0.883038 | − | 0.469301i | \(-0.844506\pi\) |
0.0350923 | − | 0.999384i | \(-0.488827\pi\) | |||||||
\(440\) | 8.22441 | + | 9.09081i | 0.392083 | + | 0.433388i | ||||
\(441\) | 11.6500i | 0.554763i | ||||||||
\(442\) | −2.50485 | + | 2.00104i | −0.119144 | + | 0.0951798i | ||||
\(443\) | −15.6020 | −0.741276 | −0.370638 | − | 0.928777i | \(-0.620861\pi\) | ||||
−0.370638 | + | 0.928777i | \(0.620861\pi\) | |||||||
\(444\) | 0.493077 | − | 1.84019i | 0.0234004 | − | 0.0873315i | ||||
\(445\) | −4.99929 | − | 8.65902i | −0.236989 | − | 0.410477i | ||||
\(446\) | −16.9541 | + | 29.3654i | −0.802802 | + | 1.39049i | ||||
\(447\) | 9.51708 | − | 9.51708i | 0.450142 | − | 0.450142i | ||||
\(448\) | −8.02554 | − | 29.9517i | −0.379171 | − | 1.41509i | ||||
\(449\) | 6.82810 | + | 25.4828i | 0.322238 | + | 1.20261i | 0.917059 | + | 0.398751i | \(0.130556\pi\) |
−0.594821 | + | 0.803858i | \(0.702777\pi\) | |||||||
\(450\) | 3.24716 | + | 3.24716i | 0.153073 | + | 0.153073i | ||||
\(451\) | 13.7062 | − | 7.02455i | 0.645402 | − | 0.330773i | ||||
\(452\) | −0.898455 | + | 0.518723i | −0.0422598 | + | 0.0243987i | ||||
\(453\) | 0.225572 | − | 0.841847i | 0.0105983 | − | 0.0395534i | ||||
\(454\) | − | 35.3335i | − | 1.65828i | ||||||
\(455\) | −17.2186 | − | 12.6853i | −0.807222 | − | 0.594697i | ||||
\(456\) | −1.65446 | −0.0774772 | ||||||||
\(457\) | 2.81822 | + | 0.755141i | 0.131831 | + | 0.0353240i | 0.324131 | − | 0.946012i | \(-0.394928\pi\) |
−0.192300 | + | 0.981336i | \(0.561595\pi\) | |||||||
\(458\) | −17.4398 | + | 10.0689i | −0.814909 | + | 0.470488i | ||||
\(459\) | 0.301427 | − | 0.522088i | 0.0140694 | − | 0.0243690i | ||||
\(460\) | −0.376963 | − | 0.376963i | −0.0175760 | − | 0.0175760i | ||||
\(461\) | 6.90925 | + | 25.7857i | 0.321796 | + | 1.20096i | 0.917494 | + | 0.397750i | \(0.130209\pi\) |
−0.595698 | + | 0.803209i | \(0.703124\pi\) | |||||||
\(462\) | 20.1073 | + | 6.48074i | 0.935476 | + | 0.301511i | ||||
\(463\) | 13.0023 | − | 13.0023i | 0.604267 | − | 0.604267i | −0.337175 | − | 0.941442i | \(-0.609471\pi\) |
0.941442 | + | 0.337175i | \(0.109471\pi\) | |||||||
\(464\) | 20.4798 | + | 11.8240i | 0.950749 | + | 0.548915i | ||||
\(465\) | 5.99549 | − | 3.46150i | 0.278034 | − | 0.160523i | ||||
\(466\) | 38.3594 | + | 10.2784i | 1.77697 | + | 0.476137i | ||||
\(467\) | 37.2648i | 1.72441i | 0.506561 | + | 0.862204i | \(0.330916\pi\) | ||||
−0.506561 | + | 0.862204i | \(0.669084\pi\) | |||||||
\(468\) | 0.579747 | − | 0.253528i | 0.0267988 | − | 0.0117194i | ||||
\(469\) | 39.6224i | 1.82959i | ||||||||
\(470\) | 3.18499 | + | 0.853416i | 0.146913 | + | 0.0393651i | ||||
\(471\) | −2.43773 | − | 4.22228i | −0.112325 | − | 0.194552i | ||||
\(472\) | −12.3323 | + | 21.3601i | −0.567638 | + | 0.983179i | ||||
\(473\) | −2.79252 | − | 12.9867i | −0.128400 | − | 0.597129i | ||||
\(474\) | −19.5992 | + | 5.25160i | −0.900222 | + | 0.241214i | ||||
\(475\) | 1.84891 | − | 0.495414i | 0.0848339 | − | 0.0227312i | ||||
\(476\) | −0.323076 | + | 0.323076i | −0.0148081 | + | 0.0148081i | ||||
\(477\) | 6.16819 | − | 10.6836i | 0.282422 | − | 0.489169i | ||||
\(478\) | −15.8885 | + | 9.17322i | −0.726722 | + | 0.419573i | ||||
\(479\) | 1.63954 | − | 6.11884i | 0.0749124 | − | 0.279577i | −0.918301 | − | 0.395883i | \(-0.870439\pi\) |
0.993213 | + | 0.116306i | \(0.0371053\pi\) | |||||||
\(480\) | 1.35974 | 0.0620635 | ||||||||
\(481\) | −36.4468 | − | 14.2686i | −1.66183 | − | 0.650590i | ||||
\(482\) | 31.5037 | 1.43495 | ||||||||
\(483\) | 9.22560 | + | 2.47199i | 0.419780 | + | 0.112480i | ||||
\(484\) | 1.12729 | − | 1.56712i | 0.0512406 | − | 0.0712326i | ||||
\(485\) | 15.9650 | + | 9.21742i | 0.724935 | + | 0.418542i | ||||
\(486\) | −1.04295 | + | 1.04295i | −0.0473092 | + | 0.0473092i | ||||
\(487\) | 22.9832 | − | 6.15833i | 1.04147 | − | 0.279060i | 0.302746 | − | 0.953071i | \(-0.402097\pi\) |
0.738721 | + | 0.674011i | \(0.235430\pi\) | |||||||
\(488\) | 4.74164 | + | 17.6960i | 0.214644 | + | 0.801062i | ||||
\(489\) | −13.2041 | + | 13.2041i | −0.597110 | + | 0.597110i | ||||
\(490\) | −20.4396 | − | 11.8008i | −0.923367 | − | 0.533106i | ||||
\(491\) | −2.38360 | − | 4.12852i | −0.107570 | − | 0.186317i | 0.807215 | − | 0.590257i | \(-0.200974\pi\) |
−0.914785 | + | 0.403940i | \(0.867640\pi\) | |||||||
\(492\) | 0.210925 | − | 0.787184i | 0.00950925 | − | 0.0354890i | ||||
\(493\) | 3.29992i | 0.148621i | ||||||||
\(494\) | 0.363305 | − | 3.24927i | 0.0163459 | − | 0.146191i | ||||
\(495\) | 2.47204 | − | 3.82639i | 0.111110 | − | 0.171983i | ||||
\(496\) | −5.63583 | + | 21.0332i | −0.253056 | + | 0.944419i | ||||
\(497\) | −28.8223 | + | 16.6405i | −1.29286 | + | 0.746430i | ||||
\(498\) | 9.93795 | + | 5.73768i | 0.445330 | + | 0.257111i | ||||
\(499\) | −30.3234 | − | 30.3234i | −1.35746 | − | 1.35746i | −0.877034 | − | 0.480429i | \(-0.840481\pi\) |
−0.480429 | − | 0.877034i | \(-0.659519\pi\) | |||||||
\(500\) | −1.88908 | + | 0.506178i | −0.0844823 | + | 0.0226370i | ||||
\(501\) | 10.8904 | − | 2.91807i | 0.486546 | − | 0.130370i | ||||
\(502\) | 12.3304 | + | 12.3304i | 0.550332 | + | 0.550332i | ||||
\(503\) | 20.7982 | + | 12.0078i | 0.927346 | + | 0.535404i | 0.885971 | − | 0.463740i | \(-0.153493\pi\) |
0.0413749 | + | 0.999144i | \(0.486826\pi\) | |||||||
\(504\) | −10.0646 | + | 5.81077i | −0.448311 | + | 0.258832i | ||||
\(505\) | −1.33919 | + | 4.99791i | −0.0595930 | + | 0.222404i | ||||
\(506\) | 5.87097 | − | 9.08748i | 0.260997 | − | 0.403988i | ||||
\(507\) | −3.85295 | − | 12.4159i | −0.171115 | − | 0.551410i | ||||
\(508\) | − | 1.70399i | − | 0.0756023i | ||||||
\(509\) | 9.59521 | − | 35.8098i | 0.425300 | − | 1.58724i | −0.337967 | − | 0.941158i | \(-0.609739\pi\) |
0.763267 | − | 0.646083i | \(-0.223594\pi\) | |||||||
\(510\) | 0.610658 | + | 1.05769i | 0.0270404 | + | 0.0468353i | ||||
\(511\) | −44.8718 | − | 25.9067i | −1.98501 | − | 1.14605i | ||||
\(512\) | 13.4173 | − | 13.4173i | 0.592968 | − | 0.592968i | ||||
\(513\) | 0.159121 | + | 0.593849i | 0.00702538 | + | 0.0262191i | ||||
\(514\) | −38.5813 | + | 10.3378i | −1.70175 | + | 0.455982i | ||||
\(515\) | 3.70020 | − | 3.70020i | 0.163050 | − | 0.163050i | ||||
\(516\) | −0.608716 | − | 0.351442i | −0.0267972 | − | 0.0154714i | ||||
\(517\) | −0.269771 | + | 5.39142i | −0.0118645 | + | 0.237114i | ||||
\(518\) | −66.7905 | − | 17.8965i | −2.93461 | − | 0.786326i | ||||
\(519\) | −1.99213 | −0.0874450 | ||||||||
\(520\) | 1.48088 | − | 13.2444i | 0.0649409 | − | 0.580807i | ||||
\(521\) | −24.7847 | −1.08584 | −0.542918 | − | 0.839785i | \(-0.682681\pi\) | ||||
−0.542918 | + | 0.839785i | \(0.682681\pi\) | |||||||
\(522\) | 2.08962 | − | 7.79855i | 0.0914600 | − | 0.341333i | ||||
\(523\) | 20.1497 | − | 11.6334i | 0.881084 | − | 0.508694i | 0.0100682 | − | 0.999949i | \(-0.496795\pi\) |
0.871016 | + | 0.491255i | \(0.163462\pi\) | |||||||
\(524\) | 0.674726 | − | 1.16866i | 0.0294756 | − | 0.0510532i | ||||
\(525\) | 9.50746 | − | 9.50746i | 0.414940 | − | 0.414940i | ||||
\(526\) | 31.3825 | − | 8.40891i | 1.36834 | − | 0.366646i | ||||
\(527\) | −2.93505 | + | 0.786443i | −0.127853 | + | 0.0342580i | ||||
\(528\) | 3.01219 | + | 14.0083i | 0.131089 | + | 0.609631i | ||||
\(529\) | −9.05436 | + | 15.6826i | −0.393668 | + | 0.681853i | ||||
\(530\) | 12.4960 | + | 21.6438i | 0.542794 | + | 0.940146i | ||||
\(531\) | 8.85304 | + | 2.37217i | 0.384189 | + | 0.102943i | ||||
\(532\) | − | 0.465949i | − | 0.0202015i | ||||||
\(533\) | −15.5910 | − | 6.10371i | −0.675320 | − | 0.264381i | ||||
\(534\) | − | 10.7370i | − | 0.464634i | ||||||
\(535\) | 17.1642 | + | 4.59914i | 0.742074 | + | 0.198838i | ||||
\(536\) | −21.3824 | + | 12.3451i | −0.923578 | + | 0.533228i | ||||
\(537\) | −18.3369 | − | 10.5868i | −0.791296 | − | 0.456855i | ||||
\(538\) | 2.27877 | − | 2.27877i | 0.0982447 | − | 0.0982447i | ||||
\(539\) | 11.8531 | − | 36.7758i | 0.510550 | − | 1.58405i | ||||
\(540\) | −0.0623876 | − | 0.232834i | −0.00268474 | − | 0.0100196i | ||||
\(541\) | −22.1057 | − | 22.1057i | −0.950397 | − | 0.950397i | 0.0484299 | − | 0.998827i | \(-0.484578\pi\) |
−0.998827 | + | 0.0484299i | \(0.984578\pi\) | |||||||
\(542\) | −1.32553 | + | 2.29589i | −0.0569365 | + | 0.0986168i | ||||
\(543\) | −13.2879 | + | 7.67175i | −0.570237 | + | 0.329226i | ||||
\(544\) | −0.576471 | − | 0.154465i | −0.0247160 | − | 0.00662263i | ||||
\(545\) | −1.63838 | −0.0701807 | ||||||||
\(546\) | −9.20193 | − | 21.0422i | −0.393806 | − | 0.900523i | ||||
\(547\) | − | 1.64115i | − | 0.0701703i | −0.999384 | − | 0.0350852i | \(-0.988830\pi\) | ||
0.999384 | − | 0.0350852i | \(-0.0111702\pi\) | |||||||
\(548\) | −0.207818 | + | 0.775589i | −0.00887756 | + | 0.0331315i | ||||
\(549\) | 5.89575 | − | 3.40391i | 0.251624 | − | 0.145275i | ||||
\(550\) | −6.94659 | − | 13.5541i | −0.296204 | − | 0.577950i | ||||
\(551\) | −2.37962 | − | 2.37962i | −0.101375 | − | 0.101375i | ||||
\(552\) | 1.54039 | + | 5.74883i | 0.0655635 | + | 0.244686i | ||||
\(553\) | 15.3763 | + | 57.3851i | 0.653867 | + | 2.44026i | ||||
\(554\) | 12.3099 | − | 12.3099i | 0.522998 | − | 0.522998i | ||||
\(555\) | −7.45518 | + | 12.9128i | −0.316455 | + | 0.548116i | ||||
\(556\) | −1.11493 | − | 1.93112i | −0.0472836 | − | 0.0818977i | ||||
\(557\) | 2.40873 | − | 8.98949i | 0.102061 | − | 0.380897i | −0.895934 | − | 0.444187i | \(-0.853493\pi\) |
0.997995 | + | 0.0632899i | \(0.0201593\pi\) | |||||||
\(558\) | 7.43426 | 0.314717 | ||||||||
\(559\) | −8.56531 | + | 11.6263i | −0.362274 | + | 0.491739i | ||||
\(560\) | − | 25.6259i | − | 1.08289i | ||||||
\(561\) | −1.48271 | + | 1.34140i | −0.0626000 | + | 0.0566339i | ||||
\(562\) | −7.55890 | − | 13.0924i | −0.318853 | − | 0.552270i | ||||
\(563\) | −3.93627 | + | 6.81783i | −0.165894 | + | 0.287337i | −0.936972 | − | 0.349403i | \(-0.886384\pi\) |
0.771078 | + | 0.636740i | \(0.219718\pi\) | |||||||
\(564\) | 0.201977 | + | 0.201977i | 0.00850475 | + | 0.00850475i | ||||
\(565\) | 7.84294 | − | 2.10151i | 0.329955 | − | 0.0884112i | ||||
\(566\) | 1.10128 | + | 4.11003i | 0.0462902 | + | 0.172757i | ||||
\(567\) | 3.05369 | + | 3.05369i | 0.128243 | + | 0.128243i | ||||
\(568\) | −17.9603 | − | 10.3694i | −0.753595 | − | 0.435089i | ||||
\(569\) | 13.1458 | + | 22.7693i | 0.551102 | + | 0.954537i | 0.998195 | + | 0.0600498i | \(0.0191259\pi\) |
−0.447093 | + | 0.894487i | \(0.647541\pi\) | |||||||
\(570\) | −1.20307 | − | 0.322362i | −0.0503911 | − | 0.0135023i | ||||
\(571\) | 27.8935 | 1.16731 | 0.583653 | − | 0.812003i | \(-0.301623\pi\) | ||||
0.583653 | + | 0.812003i | \(0.301623\pi\) | |||||||
\(572\) | −2.08804 | + | 0.210463i | −0.0873055 | + | 0.00879989i | ||||
\(573\) | −14.7288 | −0.615303 | ||||||||
\(574\) | −28.5712 | − | 7.65563i | −1.19254 | − | 0.319540i | ||||
\(575\) | −3.44287 | − | 5.96323i | −0.143578 | − | 0.248684i | ||||
\(576\) | −6.21826 | − | 3.59011i | −0.259094 | − | 0.149588i | ||||
\(577\) | −12.3051 | − | 12.3051i | −0.512267 | − | 0.512267i | 0.402954 | − | 0.915220i | \(-0.367984\pi\) |
−0.915220 | + | 0.402954i | \(0.867984\pi\) | |||||||
\(578\) | 6.35095 | + | 23.7021i | 0.264165 | + | 0.985877i | ||||
\(579\) | −10.8809 | + | 2.91553i | −0.452195 | + | 0.121165i | ||||
\(580\) | 0.932993 | + | 0.932993i | 0.0387404 | + | 0.0387404i | ||||
\(581\) | 16.7995 | − | 29.0976i | 0.696961 | − | 1.20717i | ||||
\(582\) | 9.89812 | + | 17.1441i | 0.410290 | + | 0.710644i | ||||
\(583\) | −30.3410 | + | 27.4494i | −1.25660 | + | 1.13684i | ||||
\(584\) | − | 32.2869i | − | 1.33604i | ||||||
\(585\) | −4.89636 | + | 0.742269i | −0.202440 | + | 0.0306890i | ||||
\(586\) | 33.9716 | 1.40335 | ||||||||
\(587\) | 8.41376 | − | 31.4006i | 0.347273 | − | 1.29604i | −0.542662 | − | 0.839951i | \(-0.682583\pi\) |
0.889934 | − | 0.456088i | \(-0.150750\pi\) | |||||||
\(588\) | −1.02226 | − | 1.77061i | −0.0421575 | − | 0.0730189i | ||||
\(589\) | 1.54939 | − | 2.68362i | 0.0638415 | − | 0.110577i | ||||
\(590\) | −13.1295 | + | 13.1295i | −0.540534 | + | 0.540534i | ||||
\(591\) | 2.52160 | + | 9.41073i | 0.103725 | + | 0.387106i | ||||
\(592\) | −12.1381 | − | 45.3001i | −0.498874 | − | 1.86182i | ||||
\(593\) | −16.5134 | − | 16.5134i | −0.678124 | − | 0.678124i | 0.281451 | − | 0.959576i | \(-0.409184\pi\) |
−0.959576 | + | 0.281451i | \(0.909184\pi\) | |||||||
\(594\) | 4.35343 | − | 2.23117i | 0.178623 | − | 0.0915458i | ||||
\(595\) | 3.09684 | − | 1.78796i | 0.126958 | − | 0.0732993i | ||||
\(596\) | −0.611338 | + | 2.28154i | −0.0250414 | + | 0.0934557i | ||||
\(597\) | 11.5079i | 0.470988i | ||||||||
\(598\) | −11.6286 | + | 1.76285i | −0.475530 | + | 0.0720884i | ||||
\(599\) | 16.6193 | 0.679046 | 0.339523 | − | 0.940598i | \(-0.389734\pi\) | ||||
0.339523 | + | 0.940598i | \(0.389734\pi\) | |||||||
\(600\) | 8.09296 | + | 2.16850i | 0.330394 | + | 0.0885288i | ||||
\(601\) | 13.7223 | − | 7.92259i | 0.559746 | − | 0.323169i | −0.193298 | − | 0.981140i | \(-0.561918\pi\) |
0.753043 | + | 0.657971i | \(0.228585\pi\) | |||||||
\(602\) | −12.7558 | + | 22.0936i | −0.519886 | + | 0.900469i | ||||
\(603\) | 6.48763 | + | 6.48763i | 0.264197 | + | 0.264197i | ||||
\(604\) | 0.0395870 | + | 0.147741i | 0.00161077 | + | 0.00601148i | ||||
\(605\) | −11.6966 | + | 9.56366i | −0.475535 | + | 0.388818i | ||||
\(606\) | −3.92892 | + | 3.92892i | −0.159601 | + | 0.159601i | ||||
\(607\) | −27.4007 | − | 15.8198i | −1.11216 | − | 0.642106i | −0.172772 | − | 0.984962i | \(-0.555272\pi\) |
−0.939388 | + | 0.342856i | \(0.888606\pi\) | |||||||
\(608\) | 0.527089 | − | 0.304315i | 0.0213763 | − | 0.0123416i | ||||
\(609\) | −22.8336 | − | 6.11825i | −0.925265 | − | 0.247924i | ||||
\(610\) | 13.7919i | 0.558417i | ||||||||
\(611\) | 4.58500 | − | 3.66280i | 0.185489 | − | 0.148181i | ||||
\(612\) | 0.105798i | 0.00427665i | ||||||||
\(613\) | −15.8562 | − | 4.24865i | −0.640426 | − | 0.171602i | −0.0760294 | − | 0.997106i | \(-0.524224\pi\) |
−0.564396 | + | 0.825504i | \(0.690891\pi\) | |||||||
\(614\) | 18.7310 | + | 32.4431i | 0.755922 | + | 1.30930i | ||||
\(615\) | −3.18913 | + | 5.52373i | −0.128598 | + | 0.222738i | ||||
\(616\) | 37.6830 | − | 8.10293i | 1.51829 | − | 0.326477i | ||||
\(617\) | −28.8494 | + | 7.73016i | −1.16143 | + | 0.311205i | −0.787537 | − | 0.616267i | \(-0.788644\pi\) |
−0.373894 | + | 0.927471i | \(0.621978\pi\) | |||||||
\(618\) | 5.42784 | − | 1.45438i | 0.218340 | − | 0.0585039i | ||||
\(619\) | 28.9839 | − | 28.9839i | 1.16496 | − | 1.16496i | 0.181588 | − | 0.983375i | \(-0.441876\pi\) |
0.983375 | − | 0.181588i | \(-0.0581237\pi\) | |||||||
\(620\) | −0.607478 | + | 1.05218i | −0.0243969 | + | 0.0422567i | ||||
\(621\) | 1.91532 | − | 1.10581i | 0.0768593 | − | 0.0443747i | ||||
\(622\) | 6.73433 | − | 25.1329i | 0.270022 | − | 1.00774i | ||||
\(623\) | −31.4371 | −1.25950 | ||||||||
\(624\) | 9.23908 | − | 12.5408i | 0.369859 | − | 0.502035i | ||||
\(625\) | −0.260657 | −0.0104263 | ||||||||
\(626\) | −42.6103 | − | 11.4174i | −1.70305 | − | 0.456331i | ||||
\(627\) | 0.101901 | − | 2.03651i | 0.00406952 | − | 0.0813302i | ||||
\(628\) | 0.740992 | + | 0.427812i | 0.0295688 | + | 0.0170716i | ||||
\(629\) | 4.62754 | − | 4.62754i | 0.184512 | − | 0.184512i | ||||
\(630\) | −8.45081 | + | 2.26439i | −0.336688 | + | 0.0902154i | ||||
\(631\) | −4.02573 | − | 15.0242i | −0.160262 | − | 0.598105i | −0.998597 | − | 0.0529502i | \(-0.983138\pi\) |
0.838335 | − | 0.545155i | \(-0.183529\pi\) | |||||||
\(632\) | −26.1773 | + | 26.1773i | −1.04128 | + | 1.04128i | ||||
\(633\) | −11.5406 | − | 6.66295i | −0.458696 | − | 0.264828i | ||||
\(634\) | 6.49571 | + | 11.2509i | 0.257977 | + | 0.446830i | ||||
\(635\) | −3.45169 | + | 12.8819i | −0.136976 | + | 0.511202i | ||||
\(636\) | 2.16498i | 0.0858471i | ||||||||
\(637\) | −38.4857 | + | 16.8301i | −1.52486 | + | 0.666834i | ||||
\(638\) | −14.5308 | + | 22.4917i | −0.575280 | + | 0.890457i | ||||
\(639\) | −1.99459 | + | 7.44392i | −0.0789048 | + | 0.294477i | ||||
\(640\) | 14.9526 | − | 8.63290i | 0.591054 | − | 0.341245i | ||||
\(641\) | 17.3216 | + | 10.0006i | 0.684163 | + | 0.395002i | 0.801422 | − | 0.598100i | \(-0.204077\pi\) |
−0.117259 | + | 0.993101i | \(0.537411\pi\) | |||||||
\(642\) | 13.4930 | + | 13.4930i | 0.532526 | + | 0.532526i | ||||
\(643\) | 25.8913 | − | 6.93755i | 1.02105 | − | 0.273590i | 0.290812 | − | 0.956780i | \(-0.406075\pi\) |
0.730241 | + | 0.683190i | \(0.239408\pi\) | |||||||
\(644\) | −1.61905 | + | 0.433824i | −0.0637997 | + | 0.0170951i | ||||
\(645\) | 3.88990 | + | 3.88990i | 0.153165 | + | 0.153165i | ||||
\(646\) | 0.473429 | + | 0.273334i | 0.0186268 | + | 0.0107542i | ||||
\(647\) | −14.2389 | + | 8.22086i | −0.559790 | + | 0.323195i | −0.753061 | − | 0.657950i | \(-0.771424\pi\) |
0.193271 | + | 0.981145i | \(0.438090\pi\) | |||||||
\(648\) | −0.696499 | + | 2.59937i | −0.0273610 | + | 0.102113i | ||||
\(649\) | −25.5330 | − | 16.4956i | −1.00226 | − | 0.647510i | ||||
\(650\) | −6.03596 | + | 15.4179i | −0.236750 | + | 0.604741i | ||||
\(651\) | − | 21.7670i | − | 0.853115i | ||||||
\(652\) | 0.848177 | − | 3.16544i | 0.0332172 | − | 0.123968i | ||||
\(653\) | −4.68516 | − | 8.11494i | −0.183345 | − | 0.317562i | 0.759673 | − | 0.650305i | \(-0.225359\pi\) |
−0.943017 | + | 0.332743i | \(0.892026\pi\) | |||||||
\(654\) | −1.52367 | − | 0.879689i | −0.0595800 | − | 0.0343986i | ||||
\(655\) | −7.46813 | + | 7.46813i | −0.291804 | + | 0.291804i | ||||
\(656\) | −5.19237 | − | 19.3782i | −0.202728 | − | 0.756591i | ||||
\(657\) | −11.5890 | + | 3.10527i | −0.452130 | + | 0.121148i | ||||
\(658\) | 7.33083 | − | 7.33083i | 0.285786 | − | 0.285786i | ||||
\(659\) | −26.6796 | − | 15.4035i | −1.03929 | − | 0.600033i | −0.119657 | − | 0.992815i | \(-0.538179\pi\) |
−0.919632 | + | 0.392782i | \(0.871513\pi\) | |||||||
\(660\) | −0.0399528 | + | 0.798465i | −0.00155516 | + | 0.0310802i | ||||
\(661\) | −26.7782 | − | 7.17520i | −1.04155 | − | 0.279083i | −0.302796 | − | 0.953055i | \(-0.597920\pi\) |
−0.738757 | + | 0.673972i | \(0.764587\pi\) | |||||||
\(662\) | 27.6647 | 1.07522 | ||||||||
\(663\) | 2.16016 | + | 0.241531i | 0.0838938 | + | 0.00938029i | ||||
\(664\) | 20.9368 | 0.812507 | ||||||||
\(665\) | −0.943853 | + | 3.52251i | −0.0366010 | + | 0.136597i | ||||
\(666\) | −13.8663 | + | 8.00574i | −0.537310 | + | 0.310216i | ||||
\(667\) | −6.05302 | + | 10.4841i | −0.234374 | + | 0.405948i | ||||
\(668\) | −1.39910 | + | 1.39910i | −0.0541330 | + | 0.0541330i | ||||
\(669\) | 22.2060 | − | 5.95008i | 0.858534 | − | 0.230043i | ||||
\(670\) | −17.9539 | + | 4.81075i | −0.693622 | + | 0.185855i | ||||
\(671\) | −22.0744 | + | 4.74665i | −0.852174 | + | 0.183242i | ||||
\(672\) | 2.13762 | − | 3.70247i | 0.0824605 | − | 0.142826i | ||||
\(673\) | −13.5885 | − | 23.5359i | −0.523796 | − | 0.907242i | −0.999616 | − | 0.0276993i | \(-0.991182\pi\) |
0.475820 | − | 0.879543i | \(-0.342151\pi\) | |||||||
\(674\) | −5.20131 | − | 1.39369i | −0.200347 | − | 0.0536828i | ||||
\(675\) | − | 3.11344i | − | 0.119836i | ||||||
\(676\) | 1.67505 | + | 1.54893i | 0.0644252 | + | 0.0595742i | ||||
\(677\) | 8.32855i | 0.320092i | 0.987110 | + | 0.160046i | \(0.0511643\pi\) | ||||
−0.987110 | + | 0.160046i | \(0.948836\pi\) | |||||||
\(678\) | 8.42214 | + | 2.25670i | 0.323450 | + | 0.0866682i | ||||
\(679\) | 50.1966 | − | 28.9810i | 1.92637 | − | 1.11219i | ||||
\(680\) | 1.92976 | + | 1.11415i | 0.0740029 | + | 0.0427256i | ||||
\(681\) | −16.9392 | + | 16.9392i | −0.649111 | + | 0.649111i | ||||
\(682\) | −23.4678 | − | 7.56385i | −0.898629 | − | 0.289635i | ||||
\(683\) | 12.9730 | + | 48.4160i | 0.496399 | + | 1.85259i | 0.522051 | + | 0.852914i | \(0.325167\pi\) |
−0.0256521 | + | 0.999671i | \(0.508166\pi\) | |||||||
\(684\) | −0.0762929 | − | 0.0762929i | −0.00291713 | − | 0.00291713i | ||||
\(685\) | 3.14215 | − | 5.44237i | 0.120055 | − | 0.207942i | ||||
\(686\) | −25.6510 | + | 14.8096i | −0.979361 | + | 0.565434i | ||||
\(687\) | 13.1879 | + | 3.53369i | 0.503150 | + | 0.134819i | ||||
\(688\) | −17.3030 | −0.659670 | ||||||||
\(689\) | 44.2040 | + | 4.94251i | 1.68404 | + | 0.188295i | ||||
\(690\) | 4.48050i | 0.170570i | ||||||||
\(691\) | 3.30613 | − | 12.3387i | 0.125771 | − | 0.469385i | −0.874095 | − | 0.485755i | \(-0.838545\pi\) |
0.999866 | + | 0.0163709i | \(0.00521124\pi\) | |||||||
\(692\) | 0.302772 | − | 0.174805i | 0.0115097 | − | 0.00664511i | ||||
\(693\) | −6.53269 | − | 12.7465i | −0.248157 | − | 0.484201i | ||||
\(694\) | −34.3245 | − | 34.3245i | −1.30294 | − | 1.30294i | ||||
\(695\) | 4.51694 | + | 16.8574i | 0.171337 | + | 0.639439i | ||||
\(696\) | −3.81251 | − | 14.2285i | −0.144513 | − | 0.539330i | ||||
\(697\) | 1.97954 | − | 1.97954i | 0.0749803 | − | 0.0749803i | ||||
\(698\) | 7.86854 | − | 13.6287i | 0.297829 | − | 0.515855i | ||||
\(699\) | −13.4623 | − | 23.3174i | −0.509191 | − | 0.881944i | ||||
\(700\) | −0.610720 | + | 2.27924i | −0.0230831 | + | 0.0861471i | ||||
\(701\) | 16.6520 | 0.628937 | 0.314469 | − | 0.949268i | \(-0.398174\pi\) | ||||
0.314469 | + | 0.949268i | \(0.398174\pi\) | |||||||
\(702\) | −4.95207 | − | 1.93868i | −0.186904 | − | 0.0731709i | ||||
\(703\) | 6.67398i | 0.251714i | ||||||||
\(704\) | 15.9766 | + | 17.6596i | 0.602139 | + | 0.665572i | ||||
\(705\) | −1.11778 | − | 1.93605i | −0.0420979 | − | 0.0729158i | ||||
\(706\) | −7.51331 | + | 13.0134i | −0.282767 | + | 0.489767i | ||||
\(707\) | 11.5036 | + | 11.5036i | 0.432638 | + | 0.432638i | ||||
\(708\) | −1.55367 | + | 0.416305i | −0.0583905 | + | 0.0156457i | ||||
\(709\) | −7.79400 | − | 29.0876i | −0.292710 | − | 1.09241i | −0.943019 | − | 0.332738i | \(-0.892027\pi\) |
0.650309 | − | 0.759670i | \(-0.274639\pi\) | |||||||
\(710\) | −11.0397 | − | 11.0397i | −0.414313 | − | 0.414313i | ||||
\(711\) | 11.9137 | + | 6.87838i | 0.446799 | + | 0.257959i | ||||
\(712\) | −9.79481 | − | 16.9651i | −0.367076 | − | 0.635794i | ||||
\(713\) | −10.7675 | − | 2.88513i | −0.403245 | − | 0.108049i | ||||
\(714\) | 3.84000 | 0.143709 | ||||||||
\(715\) | 16.2116 | + | 2.63859i | 0.606280 | + | 0.0986776i | ||||
\(716\) | 3.71588 | 0.138869 | ||||||||
\(717\) | 12.0148 | + | 3.21935i | 0.448701 | + | 0.120229i | ||||
\(718\) | 10.5268 | + | 18.2330i | 0.392857 | + | 0.680448i | ||||
\(719\) | −14.3703 | − | 8.29672i | −0.535923 | − | 0.309415i | 0.207502 | − | 0.978235i | \(-0.433467\pi\) |
−0.743425 | + | 0.668819i | \(0.766800\pi\) | |||||||
\(720\) | −4.19589 | − | 4.19589i | −0.156372 | − | 0.156372i | ||||
\(721\) | −4.25834 | − | 15.8923i | −0.158589 | − | 0.591861i | ||||
\(722\) | 26.5308 | − | 7.10890i | 0.987373 | − | 0.264566i | ||||
\(723\) | −15.1032 | − | 15.1032i | −0.561692 | − | 0.561692i | ||||
\(724\) | 1.34636 | − | 2.33196i | 0.0500370 | − | 0.0866667i | ||||
\(725\) | 8.52120 | + | 14.7592i | 0.316470 | + | 0.548141i | ||||
\(726\) | −16.0126 | + | 2.61383i | −0.594283 | + | 0.0970082i | ||||
\(727\) | − | 21.4839i | − | 0.796794i | −0.917213 | − | 0.398397i | \(-0.869567\pi\) | ||
0.917213 | − | 0.398397i | \(-0.130433\pi\) | |||||||
\(728\) | −33.7355 | − | 24.8536i | −1.25032 | − | 0.921136i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 6.29092 | − | 23.4780i | 0.232837 | − | 0.868960i | ||||
\(731\) | −1.20726 | − | 2.09103i | −0.0446521 | − | 0.0773397i | ||||
\(732\) | −0.597372 | + | 1.03468i | −0.0220795 | + | 0.0382428i | ||||
\(733\) | 33.0243 | − | 33.0243i | 1.21978 | − | 1.21978i | 0.252071 | − | 0.967709i | \(-0.418888\pi\) |
0.967709 | − | 0.252071i | \(-0.0811116\pi\) | |||||||
\(734\) | 1.48760 | + | 5.55179i | 0.0549082 | + | 0.204920i | ||||
\(735\) | 4.14151 | + | 15.4563i | 0.152762 | + | 0.570116i | ||||
\(736\) | −1.54816 | − | 1.54816i | −0.0570661 | − | 0.0570661i | ||||
\(737\) | −13.8789 | − | 27.0803i | −0.511234 | − | 0.997516i | ||||
\(738\) | −5.93165 | + | 3.42464i | −0.218347 | + | 0.126063i | ||||
\(739\) | −3.84705 | + | 14.3574i | −0.141516 | + | 0.528145i | 0.858370 | + | 0.513031i | \(0.171478\pi\) |
−0.999886 | + | 0.0151134i | \(0.995189\pi\) | |||||||
\(740\) | − | 2.61670i | − | 0.0961920i | ||||||
\(741\) | −1.73190 | + | 1.38355i | −0.0636229 | + | 0.0508262i | ||||
\(742\) | 78.5790 | 2.88473 | ||||||||
\(743\) | 11.6396 | + | 3.11883i | 0.427017 | + | 0.114419i | 0.465925 | − | 0.884824i | \(-0.345722\pi\) |
−0.0389088 | + | 0.999243i | \(0.512388\pi\) | |||||||
\(744\) | 11.7466 | − | 6.78192i | 0.430652 | − | 0.248637i | ||||
\(745\) | 9.24324 | − | 16.0098i | 0.338646 | − | 0.586552i | ||||
\(746\) | −4.57728 | − | 4.57728i | −0.167586 | − | 0.167586i | ||||
\(747\) | −2.01365 | − | 7.51503i | −0.0736755 | − | 0.274961i | ||||
\(748\) | 0.107643 | − | 0.333975i | 0.00393581 | − | 0.0122113i | ||||
\(749\) | 39.5066 | − | 39.5066i | 1.44354 | − | 1.44354i | ||||
\(750\) | 14.2348 | + | 8.21845i | 0.519780 | + | 0.300095i | ||||
\(751\) | −30.7140 | + | 17.7328i | −1.12077 | + | 0.647078i | −0.941598 | − | 0.336740i | \(-0.890676\pi\) |
−0.179173 | + | 0.983817i | \(0.557342\pi\) | |||||||
\(752\) | 6.79198 | + | 1.81991i | 0.247678 | + | 0.0663651i | ||||
\(753\) | − | 11.8226i | − | 0.430839i | ||||||
\(754\) | 28.7811 | − | 4.36310i | 1.04815 | − | 0.158895i | ||||
\(755\) | − | 1.19709i | − | 0.0435664i | ||||||
\(756\) | −0.732066 | − | 0.196156i | −0.0266250 | − | 0.00713414i | ||||
\(757\) | −19.0339 | − | 32.9677i | −0.691800 | − | 1.19823i | −0.971247 | − | 0.238072i | \(-0.923485\pi\) |
0.279447 | − | 0.960161i | \(-0.409849\pi\) | |||||||
\(758\) | −19.8168 | + | 34.3237i | −0.719777 | + | 1.24669i | ||||
\(759\) | −7.17121 | + | 1.54202i | −0.260298 | + | 0.0559718i | ||||
\(760\) | −2.19501 | + | 0.588151i | −0.0796213 | + | 0.0213345i | ||||
\(761\) | −37.4519 | + | 10.0352i | −1.35763 | + | 0.363776i | −0.862946 | − | 0.505297i | \(-0.831383\pi\) |
−0.494684 | + | 0.869073i | \(0.664716\pi\) | |||||||
\(762\) | −10.1266 | + | 10.1266i | −0.366848 | + | 0.366848i | ||||
\(763\) | −2.57567 | + | 4.46119i | −0.0932454 | + | 0.161506i | ||||
\(764\) | 2.23853 | − | 1.29242i | 0.0809872 | − | 0.0467580i | ||||
\(765\) | 0.214311 | − | 0.799820i | 0.00774844 | − | 0.0289176i | ||||
\(766\) | −4.78277 | −0.172808 | ||||||||
\(767\) | 4.95307 | + | 32.6728i | 0.178845 | + | 1.17975i | ||||
\(768\) | 4.18042 | 0.150848 | ||||||||
\(769\) | 2.21715 | + | 0.594083i | 0.0799524 | + | 0.0214232i | 0.298574 | − | 0.954387i | \(-0.403489\pi\) |
−0.218621 | + | 0.975810i | \(0.570156\pi\) | |||||||
\(770\) | 28.9806 | + | 1.45011i | 1.04439 | + | 0.0522582i | ||||
\(771\) | 23.4522 | + | 13.5402i | 0.844612 | + | 0.487637i | ||||
\(772\) | 1.39789 | − | 1.39789i | 0.0503111 | − | 0.0503111i | ||||
\(773\) | −18.3647 | + | 4.92081i | −0.660533 | + | 0.176989i | −0.573487 | − | 0.819215i | \(-0.694410\pi\) |
−0.0870466 | + | 0.996204i | \(0.527743\pi\) | |||||||
\(774\) | 1.52895 | + | 5.70611i | 0.0549569 | + | 0.205102i | ||||
\(775\) | −11.0964 | + | 11.0964i | −0.398596 | + | 0.398596i | ||||
\(776\) | 31.2794 | + | 18.0592i | 1.12286 | + | 0.648286i | ||||
\(777\) | 23.4402 | + | 40.5997i | 0.840914 | + | 1.45651i | ||||
\(778\) | −12.2245 | + | 45.6226i | −0.438271 | + | 1.63565i | ||||
\(779\) | 2.85495i | 0.102289i | ||||||||
\(780\) | 0.679035 | − | 0.542458i | 0.0243134 | − | 0.0194231i | ||||
\(781\) | 13.8700 | − | 21.4689i | 0.496309 | − | 0.768219i | ||||
\(782\) | 0.508979 | − | 1.89953i | 0.0182010 | − | 0.0679272i | ||||
\(783\) | −4.74047 | + | 2.73691i | −0.169411 | + | 0.0978093i | ||||
\(784\) | −43.5874 | − | 25.1652i | −1.55669 | − | 0.898756i | ||||
\(785\) | −4.73519 | − | 4.73519i | −0.169006 | − | 0.169006i | ||||
\(786\) | −10.9550 | + | 2.93539i | −0.390753 | + | 0.104702i | ||||
\(787\) | −3.56021 | + | 0.953956i | −0.126908 | + | 0.0340049i | −0.321714 | − | 0.946837i | \(-0.604259\pi\) |
0.194806 | + | 0.980842i | \(0.437592\pi\) | |||||||
\(788\) | −1.20901 | − | 1.20901i | −0.0430693 | − | 0.0430693i | ||||
\(789\) | −19.0763 | − | 11.0137i | −0.679135 | − | 0.392099i | ||||
\(790\) | −24.1358 | + | 13.9348i | −0.858713 | + | 0.495778i | ||||
\(791\) | 6.60747 | − | 24.6594i | 0.234935 | − | 0.876788i | ||||
\(792\) | 4.84333 | − | 7.49682i | 0.172100 | − | 0.266388i | ||||
\(793\) | 19.7620 | + | 14.5591i | 0.701770 | + | 0.517008i | ||||
\(794\) | 1.52696i | 0.0541899i | ||||||||
\(795\) | 4.38551 | − | 16.3669i | 0.155538 | − | 0.580475i | ||||
\(796\) | −1.00979 | − | 1.74902i | −0.0357912 | − | 0.0619922i | ||||
\(797\) | −16.5030 | − | 9.52803i | −0.584567 | − | 0.337500i | 0.178379 | − | 0.983962i | \(-0.442915\pi\) |
−0.762946 | + | 0.646462i | \(0.776248\pi\) | |||||||
\(798\) | −2.76908 | + | 2.76908i | −0.0980245 | + | 0.0980245i | ||||
\(799\) | 0.253956 | + | 0.947777i | 0.00898432 | + | 0.0335299i | ||||
\(800\) | −2.97718 | + | 0.797732i | −0.105259 | + | 0.0282041i | ||||
\(801\) | −5.14739 | + | 5.14739i | −0.181874 | + | 0.181874i | ||||
\(802\) | −18.9174 | − | 10.9220i | −0.667996 | − | 0.385668i | ||||
\(803\) | 39.7426 | + | 1.98860i | 1.40249 | + | 0.0701762i | ||||
\(804\) | −1.55529 | − | 0.416739i | −0.0548509 | − | 0.0146972i | ||||
\(805\) | 13.1186 | 0.462369 | ||||||||
\(806\) | 10.7398 | + | 24.5590i | 0.378295 | + | 0.865052i | ||||
\(807\) | −2.18492 | −0.0769130 | ||||||||
\(808\) | −2.62379 | + | 9.79212i | −0.0923047 | + | 0.344486i | ||||
\(809\) | 2.52321 | − | 1.45678i | 0.0887115 | − | 0.0512176i | −0.454988 | − | 0.890498i | \(-0.650356\pi\) |
0.543699 | + | 0.839280i | \(0.317023\pi\) | |||||||
\(810\) | −1.01294 | + | 1.75447i | −0.0355912 | + | 0.0616457i | ||||
\(811\) | −34.9996 | + | 34.9996i | −1.22900 | + | 1.22900i | −0.264660 | + | 0.964342i | \(0.585260\pi\) |
−0.964342 | + | 0.264660i | \(0.914740\pi\) | |||||||
\(812\) | 4.00720 | − | 1.07373i | 0.140625 | − | 0.0376804i | ||||
\(813\) | 1.73614 | − | 0.465197i | 0.0608891 | − | 0.0163152i | ||||
\(814\) | 51.9174 | − | 11.1637i | 1.81970 | − | 0.391289i | ||||
\(815\) | −12.8242 | + | 22.2121i | −0.449212 | + | 0.778057i | ||||
\(816\) | 1.30222 | + | 2.25552i | 0.0455870 | + | 0.0789590i | ||||
\(817\) | 2.37845 | + | 0.637303i | 0.0832114 | + | 0.0222964i | ||||
\(818\) | 6.55122i | 0.229058i | ||||||||
\(819\) | −5.67633 | + | 14.4993i | −0.198347 | + | 0.506647i | ||||
\(820\) | − | 1.11936i | − | 0.0390896i | ||||||
\(821\) | 13.3514 | + | 3.57751i | 0.465968 | + | 0.124856i | 0.484161 | − | 0.874979i | \(-0.339125\pi\) |
−0.0181932 | + | 0.999834i | \(0.505791\pi\) | |||||||
\(822\) | 5.84428 | − | 3.37420i | 0.203843 | − | 0.117689i | ||||
\(823\) | −4.05633 | − | 2.34192i | −0.141395 | − | 0.0816343i | 0.427634 | − | 0.903952i | \(-0.359347\pi\) |
−0.569029 | + | 0.822318i | \(0.692681\pi\) | |||||||
\(824\) | 7.24958 | − | 7.24958i | 0.252551 | − | 0.252551i | ||||
\(825\) | −3.16771 | + | 9.82822i | −0.110285 | + | 0.342175i | ||||
\(826\) | 15.1100 | + | 56.3912i | 0.525743 | + | 1.96210i | ||||
\(827\) | −29.6021 | − | 29.6021i | −1.02937 | − | 1.02937i | −0.999556 | − | 0.0298111i | \(-0.990509\pi\) |
−0.0298111 | − | 0.999556i | \(-0.509491\pi\) | |||||||
\(828\) | −0.194065 | + | 0.336131i | −0.00674423 | + | 0.0116814i | ||||
\(829\) | 7.28722 | − | 4.20728i | 0.253095 | − | 0.146125i | −0.368085 | − | 0.929792i | \(-0.619987\pi\) |
0.621181 | + | 0.783667i | \(0.286653\pi\) | |||||||
\(830\) | 15.2246 | + | 4.07942i | 0.528453 | + | 0.141599i | ||||
\(831\) | −11.8030 | −0.409440 | ||||||||
\(832\) | 2.87673 | − | 25.7284i | 0.0997325 | − | 0.891970i | ||||
\(833\) | − | 7.02328i | − | 0.243342i | ||||||
\(834\) | −4.85051 | + | 18.1023i | −0.167959 | + | 0.626833i | ||||
\(835\) | 13.4111 | − | 7.74292i | 0.464111 | − | 0.267955i | ||||
\(836\) | 0.163212 | + | 0.318457i | 0.00564480 | + | 0.0110141i | ||||
\(837\) | −3.56405 | − | 3.56405i | −0.123191 | − | 0.123191i | ||||
\(838\) | 3.21341 | + | 11.9926i | 0.111006 | + | 0.414278i | ||||
\(839\) | −2.38103 | − | 8.88613i | −0.0822023 | − | 0.306783i | 0.912567 | − | 0.408926i | \(-0.134097\pi\) |
−0.994770 | + | 0.102143i | \(0.967430\pi\) | |||||||
\(840\) | −11.2872 | + | 11.2872i | −0.389444 | + | 0.389444i | ||||
\(841\) | 0.481394 | − | 0.833798i | 0.0165998 | − | 0.0287517i | ||||
\(842\) | 23.1800 | + | 40.1490i | 0.798836 | + | 1.38362i | ||||
\(843\) | −2.65281 | + | 9.90041i | −0.0913675 | + | 0.340988i | ||||
\(844\) | 2.33864 | 0.0804992 | ||||||||
\(845\) | −9.52557 | − | 15.1027i | −0.327689 | − | 0.519550i | ||||
\(846\) | − | 2.40065i | − | 0.0825360i | ||||||
\(847\) | 7.65310 | + | 46.8837i | 0.262964 | + | 1.61094i | ||||
\(848\) | 26.6478 | + | 46.1553i | 0.915088 | + | 1.58498i | ||||
\(849\) | 1.44242 | − | 2.49835i | 0.0495038 | − | 0.0857431i | ||||
\(850\) | −1.95757 | − | 1.95757i | −0.0671440 | − | 0.0671440i | ||||
\(851\) | 23.1904 | − | 6.21384i | 0.794955 | − | 0.213008i | ||||
\(852\) | −0.350042 | − | 1.30638i | −0.0119923 | − | 0.0447557i | ||||
\(853\) | −6.31748 | − | 6.31748i | −0.216306 | − | 0.216306i | 0.590634 | − | 0.806940i | \(-0.298878\pi\) |
−0.806940 | + | 0.590634i | \(0.798878\pi\) | |||||||
\(854\) | 37.5541 | + | 21.6819i | 1.28508 | + | 0.741939i | ||||
\(855\) | 0.422219 | + | 0.731306i | 0.0144396 | + | 0.0250101i | ||||
\(856\) | 33.6289 | + | 9.01083i | 1.14941 | + | 0.307984i | ||||
\(857\) | −11.5493 | −0.394516 | −0.197258 | − | 0.980352i | \(-0.563204\pi\) | ||||
−0.197258 | + | 0.980352i | \(0.563204\pi\) | |||||||
\(858\) | 13.6598 | + | 11.1583i | 0.466337 | + | 0.380936i | ||||
\(859\) | −20.0351 | −0.683589 | −0.341795 | − | 0.939775i | \(-0.611035\pi\) | ||||
−0.341795 | + | 0.939775i | \(0.611035\pi\) | |||||||
\(860\) | −0.932532 | − | 0.249871i | −0.0317991 | − | 0.00852054i | ||||
\(861\) | 10.0271 | + | 17.3675i | 0.341723 | + | 0.591882i | ||||
\(862\) | 43.1651 | + | 24.9214i | 1.47021 | + | 0.848826i | ||||
\(863\) | 3.11411 | + | 3.11411i | 0.106005 | + | 0.106005i | 0.758120 | − | 0.652115i | \(-0.226118\pi\) |
−0.652115 | + | 0.758120i | \(0.726118\pi\) | |||||||
\(864\) | −0.256222 | − | 0.956235i | −0.00871686 | − | 0.0325318i | ||||
\(865\) | −2.64301 | + | 0.708191i | −0.0898649 | + | 0.0240792i | ||||
\(866\) | 18.2862 | + | 18.2862i | 0.621392 | + | 0.621392i | ||||
\(867\) | 8.31828 | − | 14.4077i | 0.282504 | − | 0.489311i | ||||
\(868\) | 1.91001 | + | 3.30823i | 0.0648298 | + | 0.112289i | ||||
\(869\) | −30.6098 | − | 33.8344i | −1.03837 | − | 1.14775i | ||||
\(870\) | − | 11.0893i | − | 0.375964i | ||||||
\(871\) | −12.0595 | + | 30.8041i | −0.408620 | + | 1.04376i | ||||
\(872\) | −3.20999 | −0.108704 | ||||||||
\(873\) | 3.47376 | − | 12.9643i | 0.117569 | − | 0.438773i | ||||
\(874\) | 1.00275 | + | 1.73681i | 0.0339185 | + | 0.0587486i | ||||
\(875\) | 24.0630 | − | 41.6784i | 0.813479 | − | 1.40899i | ||||
\(876\) | 1.48886 | − | 1.48886i | 0.0503040 | − | 0.0503040i | ||||
\(877\) | 0.305217 | + | 1.13909i | 0.0103065 | + | 0.0384642i | 0.970888 | − | 0.239536i | \(-0.0769952\pi\) |
−0.960581 | + | 0.278000i | \(0.910329\pi\) | |||||||
\(878\) | −13.5646 | − | 50.6236i | −0.457782 | − | 1.70846i | ||||
\(879\) | −16.2863 | − | 16.2863i | −0.549323 | − | 0.549323i | ||||
\(880\) | 8.97618 | + | 17.5142i | 0.302587 | + | 0.590405i | ||||
\(881\) | 19.5851 | − | 11.3075i | 0.659840 | − | 0.380959i | −0.132376 | − | 0.991200i | \(-0.542261\pi\) |
0.792216 | + | 0.610241i | \(0.208927\pi\) | |||||||
\(882\) | −4.44736 | + | 16.5978i | −0.149750 | + | 0.558876i | ||||
\(883\) | 1.17978i | 0.0397027i | 0.999803 | + | 0.0198514i | \(0.00631930\pi\) | ||||
−0.999803 | + | 0.0198514i | \(0.993681\pi\) | |||||||
\(884\) | −0.349504 | + | 0.152841i | −0.0117551 | + | 0.00514060i | ||||
\(885\) | 12.5888 | 0.423168 | ||||||||
\(886\) | −22.2282 | − | 5.95603i | −0.746771 | − | 0.200097i | ||||
\(887\) | −32.5378 | + | 18.7857i | −1.09251 | + | 0.630762i | −0.934244 | − | 0.356634i | \(-0.883924\pi\) |
−0.158268 | + | 0.987396i | \(0.550591\pi\) | |||||||
\(888\) | −14.6065 | + | 25.2992i | −0.490162 | + | 0.848986i | ||||
\(889\) | 29.6500 | + | 29.6500i | 0.994429 | + | 0.994429i | ||||
\(890\) | −3.81692 | − | 14.2449i | −0.127944 | − | 0.477492i | ||||
\(891\) | −3.15671 | − | 1.01743i | −0.105754 | − | 0.0340853i | ||||
\(892\) | −2.85284 | + | 2.85284i | −0.0955203 | + | 0.0955203i | ||||
\(893\) | −0.866588 | − | 0.500325i | −0.0289993 | − | 0.0167427i | ||||
\(894\) | 17.1921 | − | 9.92585i | 0.574989 | − | 0.331970i | ||||
\(895\) | −28.0915 | − | 7.52710i | −0.938996 | − | 0.251603i | ||||
\(896\) | − | 54.2864i | − | 1.81358i | ||||||
\(897\) | 6.41999 | + | 4.72974i | 0.214357 | + | 0.157921i | ||||
\(898\) | 38.9119i | 1.29851i | ||||||||
\(899\) | 26.6498 | + | 7.14078i | 0.888819 | + | 0.238158i | ||||
\(900\) | 0.273197 | + | 0.473192i | 0.00910658 | + | 0.0157731i | ||||
\(901\) | −3.71852 | + | 6.44067i | −0.123882 | + | 0.214570i | ||||
\(902\) | 22.2089 | − | 4.77555i | 0.739474 | − | 0.159009i | ||||
\(903\) | 16.7071 | − | 4.47665i | 0.555977 | − | 0.148974i | ||||
\(904\) | 15.3662 | − | 4.11737i | 0.511073 | − | 0.136942i | ||||
\(905\) | −14.9020 | + | 14.9020i | −0.495360 | + | 0.495360i | ||||
\(906\) | 0.642745 | − | 1.11327i | 0.0213538 | − | 0.0369858i | ||||
\(907\) | 6.15366 | − | 3.55282i | 0.204329 | − | 0.117969i | −0.394344 | − | 0.918963i | \(-0.629028\pi\) |
0.598673 | + | 0.800994i | \(0.295695\pi\) | |||||||
\(908\) | 1.08810 | − | 4.06086i | 0.0361100 | − | 0.134764i | ||||
\(909\) | 3.76712 | 0.124947 | ||||||||
\(910\) | −19.6888 | − | 24.6459i | −0.652676 | − | 0.817004i | ||||
\(911\) | −12.7493 | −0.422402 | −0.211201 | − | 0.977443i | \(-0.567737\pi\) | ||||
−0.211201 | + | 0.977443i | \(0.567737\pi\) | |||||||
\(912\) | −2.56554 | − | 0.687435i | −0.0849536 | − | 0.0227633i | ||||
\(913\) | −1.28953 | + | 25.7715i | −0.0426773 | + | 0.852914i | ||||
\(914\) | 3.72685 | + | 2.15170i | 0.123273 | + | 0.0711718i | ||||
\(915\) | 6.61194 | − | 6.61194i | 0.218584 | − | 0.218584i | ||||
\(916\) | −2.31442 | + | 0.620147i | −0.0764706 | + | 0.0204902i | ||||
\(917\) | 8.59463 | + | 32.0756i | 0.283820 | + | 1.05923i | ||||
\(918\) | 0.628748 | − | 0.628748i | 0.0207518 | − | 0.0207518i | ||||
\(919\) | 7.72958 | + | 4.46267i | 0.254975 | + | 0.147210i | 0.622040 | − | 0.782985i | \(-0.286304\pi\) |
−0.367065 | + | 0.930195i | \(0.619637\pi\) | |||||||
\(920\) | 4.08734 | + | 7.07949i | 0.134756 | + | 0.233404i | ||||
\(921\) | 6.57368 | − | 24.5333i | 0.216610 | − | 0.808400i | ||||
\(922\) | 39.3744i | 1.29673i | ||||||||
\(923\) | −27.4723 | + | 4.16469i | −0.904263 | + | 0.137083i | ||||
\(924\) | 2.11134 | + | 1.36404i | 0.0694581 | + | 0.0448735i | ||||
\(925\) | 8.74759 | − | 32.6465i | 0.287619 | − | 1.07341i | ||||
\(926\) | 23.4879 | − | 13.5607i | 0.771860 | − | 0.445633i | ||||
\(927\) | −3.29940 | − | 1.90491i | −0.108366 | − | 0.0625654i | ||||
\(928\) | 3.83175 | + | 3.83175i | 0.125783 | + | 0.125783i | ||||
\(929\) | 8.33769 | − | 2.23408i | 0.273551 | − | 0.0732977i | −0.119436 | − | 0.992842i | \(-0.538109\pi\) |
0.392986 | + | 0.919544i | \(0.371442\pi\) | |||||||
\(930\) | 9.86318 | − | 2.64283i | 0.323427 | − | 0.0866619i | ||||
\(931\) | 5.06459 | + | 5.06459i | 0.165985 | + | 0.165985i | ||||
\(932\) | 4.09210 | + | 2.36258i | 0.134041 | + | 0.0773887i | ||||
\(933\) | −15.2774 | + | 8.82041i | −0.500160 | + | 0.288767i | ||||
\(934\) | −14.2257 | + | 53.0911i | −0.465479 | + | 1.73719i | ||||
\(935\) | −1.49028 | + | 2.30676i | −0.0487374 | + | 0.0754390i | ||||
\(936\) | −9.59316 | + | 1.45428i | −0.313562 | + | 0.0475348i | ||||
\(937\) | − | 29.3584i | − | 0.959098i | −0.877515 | − | 0.479549i | \(-0.840800\pi\) | ||
0.877515 | − | 0.479549i | \(-0.159200\pi\) | |||||||
\(938\) | −15.1257 | + | 56.4500i | −0.493873 | + | 1.84316i | ||||
\(939\) | 14.9542 | + | 25.9014i | 0.488011 | + | 0.845259i | ||||
\(940\) | 0.339768 | + | 0.196165i | 0.0110820 | + | 0.00639820i | ||||
\(941\) | 35.6549 | − | 35.6549i | 1.16232 | − | 1.16232i | 0.178349 | − | 0.983967i | \(-0.442924\pi\) |
0.983967 | − | 0.178349i | \(-0.0570755\pi\) | |||||||
\(942\) | −1.86119 | − | 6.94607i | −0.0606410 | − | 0.226315i | ||||
\(943\) | 9.92022 | − | 2.65811i | 0.323047 | − | 0.0865601i | ||||
\(944\) | −27.9986 | + | 27.9986i | −0.911278 | + | 0.911278i | ||||
\(945\) | 5.13696 | + | 2.96583i | 0.167105 | + | 0.0964783i | ||||
\(946\) | 0.979133 | − | 19.5682i | 0.0318344 | − | 0.636216i | ||||
\(947\) | 0.222822 | + | 0.0597050i | 0.00724074 | + | 0.00194015i | 0.262438 | − | 0.964949i | \(-0.415474\pi\) |
−0.255197 | + | 0.966889i | \(0.582140\pi\) | |||||||
\(948\) | −2.41425 | −0.0784112 | ||||||||
\(949\) | −27.0002 | − | 33.7981i | −0.876463 | − | 1.09713i | ||||
\(950\) | 2.82326 | 0.0915988 | ||||||||
\(951\) | 2.27968 | − | 8.50787i | 0.0739236 | − | 0.275887i | ||||
\(952\) | 6.06746 | − | 3.50305i | 0.196648 | − | 0.113535i | ||||
\(953\) | 25.0444 | − | 43.3781i | 0.811266 | − | 1.40515i | −0.100712 | − | 0.994916i | \(-0.532112\pi\) |
0.911978 | − | 0.410239i | \(-0.134555\pi\) | |||||||
\(954\) | 12.8662 | − | 12.8662i | 0.416560 | − | 0.416560i | ||||
\(955\) | −19.5410 | + | 5.23598i | −0.632330 | + | 0.169432i | ||||
\(956\) | −2.10854 | + | 0.564983i | −0.0681952 | + | 0.0182729i | ||||
\(957\) | 17.7489 | − | 3.81654i | 0.573742 | − | 0.123371i | ||||
\(958\) | 4.67169 | − | 8.09161i | 0.150936 | − | 0.261428i | ||||
\(959\) | −9.87941 | − | 17.1116i | −0.319023 | − | 0.552564i | ||||
\(960\) | −9.52616 | − | 2.55253i | −0.307455 | − | 0.0823824i | ||||
\(961\) | − | 5.59514i | − | 0.180488i | ||||||
\(962\) | −46.4787 | − | 34.2418i | −1.49854 | − | 1.10400i | ||||
\(963\) | − | 12.9373i | − | 0.416899i | ||||||
\(964\) | 3.62070 | + | 0.970164i | 0.116615 | + | 0.0312469i | ||||
\(965\) | −13.3995 | + | 7.73619i | −0.431344 | + | 0.249037i | ||||
\(966\) | 12.2000 | + | 7.04369i | 0.392529 | + | 0.226627i | ||||
\(967\) | −10.6077 | + | 10.6077i | −0.341121 | + | 0.341121i | −0.856789 | − | 0.515667i | \(-0.827544\pi\) |
0.515667 | + | 0.856789i | \(0.327544\pi\) | |||||||
\(968\) | −22.9165 | + | 18.7375i | −0.736564 | + | 0.602247i | ||||
\(969\) | −0.0959271 | − | 0.358005i | −0.00308162 | − | 0.0115008i | ||||
\(970\) | 19.2267 | + | 19.2267i | 0.617331 | + | 0.617331i | ||||
\(971\) | −20.4936 | + | 35.4960i | −0.657671 | + | 1.13912i | 0.323546 | + | 0.946213i | \(0.395125\pi\) |
−0.981217 | + | 0.192908i | \(0.938208\pi\) | |||||||
\(972\) | −0.151984 | + | 0.0877479i | −0.00487488 | + | 0.00281451i | ||||
\(973\) | 53.0024 | + | 14.2019i | 1.69918 | + | 0.455293i | ||||
\(974\) | 35.0950 | 1.12452 | ||||||||
\(975\) | 10.2852 | − | 4.49780i | 0.329390 | − | 0.144045i | ||||
\(976\) | 29.4111i | 0.941427i | ||||||||
\(977\) | 11.0371 | − | 41.1909i | 0.353107 | − | 1.31781i | −0.529743 | − | 0.848158i | \(-0.677712\pi\) |
0.882850 | − | 0.469655i | \(-0.155622\pi\) | |||||||
\(978\) | −23.8525 | + | 13.7712i | −0.762719 | + | 0.440356i | ||||
\(979\) | 21.4860 | − | 11.0117i | 0.686694 | − | 0.351936i | ||||
\(980\) | −1.98570 | − | 1.98570i | −0.0634310 | − | 0.0634310i | ||||
\(981\) | 0.308728 | + | 1.15219i | 0.00985693 | + | 0.0367866i | ||||
\(982\) | −1.81986 | − | 6.79182i | −0.0580742 | − | 0.216736i | ||||
\(983\) | 9.76556 | − | 9.76556i | 0.311473 | − | 0.311473i | −0.534007 | − | 0.845480i | \(-0.679314\pi\) |
0.845480 | + | 0.534007i | \(0.179314\pi\) | |||||||
\(984\) | −6.24827 | + | 10.8223i | −0.199188 | + | 0.345003i | ||||
\(985\) | 6.69091 | + | 11.5890i | 0.213190 | + | 0.369256i | ||||
\(986\) | −1.25974 | + | 4.70140i | −0.0401181 | + | 0.149723i | ||||
\(987\) | −7.02893 | −0.223733 | ||||||||
\(988\) | 0.141816 | − | 0.362248i | 0.00451178 | − | 0.0115246i | ||||
\(989\) | − | 8.85786i | − | 0.281664i | ||||||
\(990\) | 4.98262 | − | 4.50775i | 0.158358 | − | 0.143266i | ||||
\(991\) | 3.52517 | + | 6.10578i | 0.111981 | + | 0.193956i | 0.916569 | − | 0.399877i | \(-0.130947\pi\) |
−0.804588 | + | 0.593833i | \(0.797614\pi\) | |||||||
\(992\) | −2.49488 | + | 4.32125i | −0.0792124 | + | 0.137200i | ||||
\(993\) | −13.2627 | − | 13.2627i | −0.420879 | − | 0.420879i | ||||
\(994\) | −47.4155 | + | 12.7049i | −1.50393 | + | 0.402976i | ||||
\(995\) | 4.09099 | + | 15.2678i | 0.129693 | + | 0.484022i | ||||
\(996\) | 0.965469 | + | 0.965469i | 0.0305921 | + | 0.0305921i | ||||
\(997\) | −4.82924 | − | 2.78816i | −0.152943 | − | 0.0883020i | 0.421575 | − | 0.906793i | \(-0.361477\pi\) |
−0.574519 | + | 0.818492i | \(0.694811\pi\) | |||||||
\(998\) | −31.6259 | − | 54.7776i | −1.00110 | − | 1.73395i | ||||
\(999\) | 10.4857 | + | 2.80963i | 0.331752 | + | 0.0888927i |
(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 | 429.2.bd.a.76.10 | yes | 56 | |
11.10 | odd | 2 | inner | 429.2.bd.a.76.5 | ✓ | 56 | |
13.6 | odd | 12 | inner | 429.2.bd.a.175.5 | yes | 56 | |
143.32 | even | 12 | inner | 429.2.bd.a.175.10 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bd.a.76.5 | ✓ | 56 | 11.10 | odd | 2 | inner | |
429.2.bd.a.76.10 | yes | 56 | 1.1 | even | 1 | trivial | |
429.2.bd.a.175.5 | yes | 56 | 13.6 | odd | 12 | inner | |
429.2.bd.a.175.10 | yes | 56 | 143.32 | even | 12 | inner |