Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(27,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.x (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 27.10 | ||
Character | \(\chi\) | \(=\) | 224.27 |
Dual form | 224.2.x.b.83.10 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.756841 | + | 1.19465i | −0.535167 | + | 0.844746i | ||||
\(3\) | 0.613776 | + | 1.48179i | 0.354364 | + | 0.855510i | 0.996071 | + | 0.0885601i | \(0.0282265\pi\) |
−0.641707 | + | 0.766950i | \(0.721773\pi\) | |||||||
\(4\) | −0.854385 | − | 1.80832i | −0.427192 | − | 0.904161i | ||||
\(5\) | 1.25513 | − | 3.03015i | 0.561311 | − | 1.35512i | −0.347407 | − | 0.937714i | \(-0.612938\pi\) |
0.908718 | − | 0.417410i | \(-0.137062\pi\) | |||||||
\(6\) | −2.23475 | − | 0.388228i | −0.912333 | − | 0.158493i | ||||
\(7\) | 1.85488 | − | 1.88664i | 0.701080 | − | 0.713082i | ||||
\(8\) | 2.80695 | + | 0.347919i | 0.992406 | + | 0.123008i | ||||
\(9\) | 0.302349 | − | 0.302349i | 0.100783 | − | 0.100783i | ||||
\(10\) | 2.67004 | + | 3.79278i | 0.844341 | + | 1.19938i | ||||
\(11\) | 1.59888 | + | 0.662279i | 0.482081 | + | 0.199685i | 0.610470 | − | 0.792039i | \(-0.290981\pi\) |
−0.128389 | + | 0.991724i | \(0.540981\pi\) | |||||||
\(12\) | 2.15515 | − | 2.37592i | 0.622137 | − | 0.685869i | ||||
\(13\) | −0.748214 | − | 1.80635i | −0.207517 | − | 0.500991i | 0.785514 | − | 0.618844i | \(-0.212399\pi\) |
−0.993031 | + | 0.117853i | \(0.962399\pi\) | |||||||
\(14\) | 0.850023 | + | 3.64383i | 0.227178 | + | 0.973853i | ||||
\(15\) | 5.26041 | 1.35823 | ||||||||
\(16\) | −2.54005 | + | 3.09000i | −0.635013 | + | 0.772501i | ||||
\(17\) | −4.77636 | −1.15844 | −0.579219 | − | 0.815172i | \(-0.696642\pi\) | ||||
−0.579219 | + | 0.815172i | \(0.696642\pi\) | |||||||
\(18\) | 0.132372 | + | 0.590032i | 0.0312003 | + | 0.139072i | ||||
\(19\) | −5.80185 | + | 2.40321i | −1.33104 | + | 0.551333i | −0.930951 | − | 0.365145i | \(-0.881019\pi\) |
−0.400085 | + | 0.916478i | \(0.631019\pi\) | |||||||
\(20\) | −6.55185 | + | 0.319236i | −1.46504 | + | 0.0713834i | ||||
\(21\) | 3.93408 | + | 1.59057i | 0.858487 | + | 0.347091i | ||||
\(22\) | −2.00129 | + | 1.40887i | −0.426677 | + | 0.300372i | ||||
\(23\) | 2.78763 | + | 2.78763i | 0.581260 | + | 0.581260i | 0.935249 | − | 0.353989i | \(-0.115175\pi\) |
−0.353989 | + | 0.935249i | \(0.615175\pi\) | |||||||
\(24\) | 1.20730 | + | 4.37284i | 0.246438 | + | 0.892603i | ||||
\(25\) | −4.07093 | − | 4.07093i | −0.814186 | − | 0.814186i | ||||
\(26\) | 2.72424 | + | 0.473263i | 0.534267 | + | 0.0928145i | ||||
\(27\) | 5.07895 | + | 2.10377i | 0.977445 | + | 0.404871i | ||||
\(28\) | −4.99643 | − | 1.74231i | −0.944237 | − | 0.329266i | ||||
\(29\) | 1.64271 | + | 3.96586i | 0.305044 | + | 0.736441i | 0.999851 | + | 0.0172451i | \(0.00548955\pi\) |
−0.694808 | + | 0.719196i | \(0.744510\pi\) | |||||||
\(30\) | −3.98129 | + | 6.28435i | −0.726881 | + | 1.14736i | ||||
\(31\) | 1.60776 | 0.288763 | 0.144382 | − | 0.989522i | \(-0.453881\pi\) | ||||
0.144382 | + | 0.989522i | \(0.453881\pi\) | |||||||
\(32\) | −1.76906 | − | 5.37312i | −0.312729 | − | 0.949842i | ||||
\(33\) | 2.77569i | 0.483186i | ||||||||
\(34\) | 3.61494 | − | 5.70609i | 0.619958 | − | 0.978586i | ||||
\(35\) | −3.38868 | − | 7.98856i | −0.572791 | − | 1.35031i | ||||
\(36\) | −0.805067 | − | 0.288422i | −0.134178 | − | 0.0480703i | ||||
\(37\) | −5.31336 | − | 2.20087i | −0.873511 | − | 0.361820i | −0.0995344 | − | 0.995034i | \(-0.531735\pi\) |
−0.773977 | + | 0.633214i | \(0.781735\pi\) | |||||||
\(38\) | 1.52008 | − | 8.75003i | 0.246590 | − | 1.41944i | ||||
\(39\) | 2.21739 | − | 2.21739i | 0.355066 | − | 0.355066i | ||||
\(40\) | 4.57733 | − | 8.06879i | 0.723740 | − | 1.27579i | ||||
\(41\) | 8.32449 | + | 8.32449i | 1.30007 | + | 1.30007i | 0.928344 | + | 0.371722i | \(0.121233\pi\) |
0.371722 | + | 0.928344i | \(0.378767\pi\) | |||||||
\(42\) | −4.87765 | + | 3.49605i | −0.752637 | + | 0.539452i | ||||
\(43\) | 4.82868 | + | 2.00011i | 0.736367 | + | 0.305013i | 0.719165 | − | 0.694839i | \(-0.244524\pi\) |
0.0172015 | + | 0.999852i | \(0.494524\pi\) | |||||||
\(44\) | −0.168447 | − | 3.45713i | −0.0253944 | − | 0.521182i | ||||
\(45\) | −0.536676 | − | 1.29565i | −0.0800030 | − | 0.193144i | ||||
\(46\) | −5.44003 | + | 1.22045i | −0.802089 | + | 0.179946i | ||||
\(47\) | 1.23990i | 0.180857i | 0.995903 | + | 0.0904287i | \(0.0288237\pi\) | ||||
−0.995903 | + | 0.0904287i | \(0.971176\pi\) | |||||||
\(48\) | −6.13775 | − | 1.86725i | −0.885908 | − | 0.269514i | ||||
\(49\) | −0.118806 | − | 6.99899i | −0.0169723 | − | 0.999856i | ||||
\(50\) | 7.94439 | − | 1.78230i | 1.12351 | − | 0.252055i | ||||
\(51\) | −2.93162 | − | 7.07755i | −0.410508 | − | 0.991055i | ||||
\(52\) | −2.62720 | + | 2.89633i | −0.364327 | + | 0.401649i | ||||
\(53\) | −3.00055 | + | 7.24397i | −0.412157 | + | 0.995035i | 0.572400 | + | 0.819974i | \(0.306012\pi\) |
−0.984558 | + | 0.175061i | \(0.943988\pi\) | |||||||
\(54\) | −6.35723 | + | 4.47536i | −0.865110 | + | 0.609019i | ||||
\(55\) | 4.01361 | − | 4.01361i | 0.541195 | − | 0.541195i | ||||
\(56\) | 5.86296 | − | 4.65034i | 0.783471 | − | 0.621428i | ||||
\(57\) | −7.12208 | − | 7.12208i | −0.943342 | − | 0.943342i | ||||
\(58\) | −5.98109 | − | 1.03905i | −0.785355 | − | 0.136434i | ||||
\(59\) | 2.06228 | + | 0.854226i | 0.268487 | + | 0.111211i | 0.512865 | − | 0.858469i | \(-0.328584\pi\) |
−0.244379 | + | 0.969680i | \(0.578584\pi\) | |||||||
\(60\) | −4.49441 | − | 9.51251i | −0.580226 | − | 1.22806i | ||||
\(61\) | −7.79213 | + | 3.22760i | −0.997680 | + | 0.413252i | −0.820946 | − | 0.571006i | \(-0.806553\pi\) |
−0.176734 | + | 0.984259i | \(0.556553\pi\) | |||||||
\(62\) | −1.21682 | + | 1.92072i | −0.154536 | + | 0.243931i | ||||
\(63\) | −0.00960061 | − | 1.13125i | −0.00120956 | − | 0.142524i | ||||
\(64\) | 7.75790 | + | 1.95318i | 0.969738 | + | 0.244148i | ||||
\(65\) | −6.41262 | −0.795387 | ||||||||
\(66\) | −3.31599 | − | 2.10076i | −0.408170 | − | 0.258585i | ||||
\(67\) | −13.7755 | + | 5.70600i | −1.68294 | + | 0.697098i | −0.999460 | − | 0.0328665i | \(-0.989536\pi\) |
−0.683485 | + | 0.729965i | \(0.739536\pi\) | |||||||
\(68\) | 4.08085 | + | 8.63719i | 0.494876 | + | 1.04741i | ||||
\(69\) | −2.41969 | + | 5.84165i | −0.291296 | + | 0.703251i | ||||
\(70\) | 12.1082 | + | 1.99777i | 1.44721 | + | 0.238780i | ||||
\(71\) | 6.86841 | − | 6.86841i | 0.815130 | − | 0.815130i | −0.170267 | − | 0.985398i | \(-0.554463\pi\) |
0.985398 | + | 0.170267i | \(0.0544632\pi\) | |||||||
\(72\) | 0.953871 | − | 0.743485i | 0.112415 | − | 0.0876206i | ||||
\(73\) | −9.58640 | − | 9.58640i | −1.12200 | − | 1.12200i | −0.991440 | − | 0.130563i | \(-0.958321\pi\) |
−0.130563 | − | 0.991440i | \(-0.541679\pi\) | |||||||
\(74\) | 6.65064 | − | 4.68191i | 0.773121 | − | 0.544261i | ||||
\(75\) | 3.53361 | − | 8.53089i | 0.408026 | − | 0.985063i | ||||
\(76\) | 9.30278 | + | 8.43835i | 1.06710 | + | 0.967945i | ||||
\(77\) | 4.21522 | − | 1.78806i | 0.480369 | − | 0.203768i | ||||
\(78\) | 0.970797 | + | 4.32722i | 0.109921 | + | 0.489961i | ||||
\(79\) | 0.639093 | 0.0719036 | 0.0359518 | − | 0.999354i | \(-0.488554\pi\) | ||||
0.0359518 | + | 0.999354i | \(0.488554\pi\) | |||||||
\(80\) | 6.17508 | + | 11.5751i | 0.690395 | + | 1.29414i | ||||
\(81\) | 7.53441i | 0.837157i | ||||||||
\(82\) | −16.2452 | + | 3.64455i | −1.79398 | + | 0.402473i | ||||
\(83\) | −6.23614 | + | 2.58309i | −0.684506 | + | 0.283531i | −0.697709 | − | 0.716381i | \(-0.745797\pi\) |
0.0132034 | + | 0.999913i | \(0.495797\pi\) | |||||||
\(84\) | −0.484955 | − | 8.47304i | −0.0529129 | − | 0.924484i | ||||
\(85\) | −5.99495 | + | 14.4731i | −0.650244 | + | 1.56983i | ||||
\(86\) | −6.04397 | + | 4.25483i | −0.651738 | + | 0.458810i | ||||
\(87\) | −4.86830 | + | 4.86830i | −0.521936 | + | 0.521936i | ||||
\(88\) | 4.25756 | + | 2.41526i | 0.453857 | + | 0.257468i | ||||
\(89\) | 8.85330 | − | 8.85330i | 0.938448 | − | 0.938448i | −0.0597646 | − | 0.998212i | \(-0.519035\pi\) |
0.998212 | + | 0.0597646i | \(0.0190350\pi\) | |||||||
\(90\) | 1.95403 | + | 0.339460i | 0.205973 | + | 0.0357823i | ||||
\(91\) | −4.79578 | − | 1.93896i | −0.502734 | − | 0.203258i | ||||
\(92\) | 2.65922 | − | 7.42263i | 0.277243 | − | 0.773862i | ||||
\(93\) | 0.986808 | + | 2.38236i | 0.102327 | + | 0.247040i | ||||
\(94\) | −1.48124 | − | 0.938403i | −0.152779 | − | 0.0967889i | ||||
\(95\) | 20.5968i | 2.11319i | ||||||||
\(96\) | 6.87601 | − | 5.91927i | 0.701780 | − | 0.604133i | ||||
\(97\) | − | 7.00424i | − | 0.711173i | −0.934643 | − | 0.355587i | \(-0.884281\pi\) | ||
0.934643 | − | 0.355587i | \(-0.115719\pi\) | |||||||
\(98\) | 8.45127 | + | 5.15519i | 0.853708 | + | 0.520753i | ||||
\(99\) | 0.683660 | − | 0.283181i | 0.0687104 | − | 0.0284608i | ||||
\(100\) | −3.88341 | + | 10.8397i | −0.388341 | + | 1.08397i | ||||
\(101\) | 2.30282 | − | 5.55949i | 0.229139 | − | 0.553190i | −0.766934 | − | 0.641726i | \(-0.778219\pi\) |
0.996073 | + | 0.0885359i | \(0.0282188\pi\) | |||||||
\(102\) | 10.6740 | + | 1.85432i | 1.05688 | + | 0.183605i | ||||
\(103\) | 9.24205 | + | 9.24205i | 0.910646 | + | 0.910646i | 0.996323 | − | 0.0856770i | \(-0.0273053\pi\) |
−0.0856770 | + | 0.996323i | \(0.527305\pi\) | |||||||
\(104\) | −1.47173 | − | 5.33064i | −0.144315 | − | 0.522713i | ||||
\(105\) | 9.75745 | − | 9.92448i | 0.952229 | − | 0.968530i | ||||
\(106\) | −6.38308 | − | 9.06714i | −0.619979 | − | 0.880678i | ||||
\(107\) | −6.36702 | − | 2.63731i | −0.615523 | − | 0.254958i | 0.0530649 | − | 0.998591i | \(-0.483101\pi\) |
−0.668588 | + | 0.743633i | \(0.733101\pi\) | |||||||
\(108\) | −0.535084 | − | 10.9818i | −0.0514885 | − | 1.05673i | ||||
\(109\) | 4.31654 | − | 1.78797i | 0.413449 | − | 0.171256i | −0.166256 | − | 0.986083i | \(-0.553168\pi\) |
0.579705 | + | 0.814826i | \(0.303168\pi\) | |||||||
\(110\) | 1.75720 | + | 7.83253i | 0.167543 | + | 0.746802i | ||||
\(111\) | − | 9.22411i | − | 0.875514i | ||||||
\(112\) | 1.11821 | + | 10.5238i | 0.105661 | + | 0.994402i | ||||
\(113\) | 10.6058i | 0.997713i | 0.866685 | + | 0.498856i | \(0.166246\pi\) | ||||
−0.866685 | + | 0.498856i | \(0.833754\pi\) | |||||||
\(114\) | 13.8987 | − | 3.11812i | 1.30173 | − | 0.292039i | ||||
\(115\) | 11.9458 | − | 4.94810i | 1.11395 | − | 0.461412i | ||||
\(116\) | 5.76803 | − | 6.35892i | 0.535549 | − | 0.590410i | ||||
\(117\) | −0.772370 | − | 0.319926i | −0.0714056 | − | 0.0295772i | ||||
\(118\) | −2.58132 | + | 1.81720i | −0.237630 | + | 0.167287i | ||||
\(119\) | −8.85960 | + | 9.01126i | −0.812158 | + | 0.826061i | ||||
\(120\) | 14.7657 | + | 1.83020i | 1.34792 | + | 0.167073i | ||||
\(121\) | −5.66036 | − | 5.66036i | −0.514579 | − | 0.514579i | ||||
\(122\) | 2.04154 | − | 11.7517i | 0.184832 | − | 1.06395i | ||||
\(123\) | −7.22574 | + | 17.4445i | −0.651523 | + | 1.57292i | ||||
\(124\) | −1.37365 | − | 2.90736i | −0.123357 | − | 0.261088i | ||||
\(125\) | −2.29433 | + | 0.950342i | −0.205211 | + | 0.0850012i | ||||
\(126\) | 1.35871 | + | 0.844704i | 0.121044 | + | 0.0752522i | ||||
\(127\) | 0.302969i | 0.0268842i | 0.999910 | + | 0.0134421i | \(0.00427888\pi\) | ||||
−0.999910 | + | 0.0134421i | \(0.995721\pi\) | |||||||
\(128\) | −8.20487 | + | 7.78974i | −0.725215 | + | 0.688523i | ||||
\(129\) | 8.38269i | 0.738055i | ||||||||
\(130\) | 4.85333 | − | 7.66084i | 0.425665 | − | 0.671900i | ||||
\(131\) | 6.59497 | + | 15.9217i | 0.576205 | + | 1.39108i | 0.896194 | + | 0.443661i | \(0.146321\pi\) |
−0.319989 | + | 0.947421i | \(0.603679\pi\) | |||||||
\(132\) | 5.01935 | − | 2.37151i | 0.436878 | − | 0.206413i | ||||
\(133\) | −6.22778 | + | 15.4037i | −0.540017 | + | 1.33567i | ||||
\(134\) | 3.60918 | − | 20.7754i | 0.311785 | − | 1.79473i | ||||
\(135\) | 12.7495 | − | 12.7495i | 1.09730 | − | 1.09730i | ||||
\(136\) | −13.4070 | − | 1.66179i | −1.14964 | − | 0.142497i | ||||
\(137\) | 1.36531 | − | 1.36531i | 0.116646 | − | 0.116646i | −0.646374 | − | 0.763020i | \(-0.723716\pi\) |
0.763020 | + | 0.646374i | \(0.223716\pi\) | |||||||
\(138\) | −5.14741 | − | 7.31188i | −0.438177 | − | 0.622429i | ||||
\(139\) | −5.77085 | + | 13.9321i | −0.489477 | + | 1.18170i | 0.465506 | + | 0.885045i | \(0.345872\pi\) |
−0.954984 | + | 0.296658i | \(0.904128\pi\) | |||||||
\(140\) | −11.5506 | + | 12.9531i | −0.976208 | + | 1.09474i | ||||
\(141\) | −1.83726 | + | 0.761018i | −0.154725 | + | 0.0640893i | ||||
\(142\) | 3.00707 | + | 13.4037i | 0.252347 | + | 1.12481i | ||||
\(143\) | − | 3.38367i | − | 0.282956i | ||||||
\(144\) | 0.166277 | + | 1.70224i | 0.0138564 | + | 0.141854i | ||||
\(145\) | 14.0790 | 1.16919 | ||||||||
\(146\) | 18.7078 | − | 4.19703i | 1.54827 | − | 0.347349i | ||||
\(147\) | 10.2981 | − | 4.47186i | 0.849372 | − | 0.368833i | ||||
\(148\) | 0.559780 | + | 11.4887i | 0.0460136 | + | 0.944361i | ||||
\(149\) | −0.364204 | + | 0.879267i | −0.0298368 | + | 0.0720324i | −0.938096 | − | 0.346376i | \(-0.887412\pi\) |
0.908259 | + | 0.418409i | \(0.137412\pi\) | |||||||
\(150\) | 7.51706 | + | 10.6780i | 0.613766 | + | 0.871852i | ||||
\(151\) | −5.44504 | − | 5.44504i | −0.443111 | − | 0.443111i | 0.449945 | − | 0.893056i | \(-0.351444\pi\) |
−0.893056 | + | 0.449945i | \(0.851444\pi\) | |||||||
\(152\) | −17.1216 | + | 4.72709i | −1.38875 | + | 0.383418i | ||||
\(153\) | −1.44413 | + | 1.44413i | −0.116751 | + | 0.116751i | ||||
\(154\) | −1.05414 | + | 6.38900i | −0.0849451 | + | 0.514840i | ||||
\(155\) | 2.01795 | − | 4.87177i | 0.162086 | − | 0.391310i | ||||
\(156\) | −5.90425 | − | 2.11525i | −0.472719 | − | 0.169355i | ||||
\(157\) | 17.9239 | − | 7.42432i | 1.43048 | − | 0.592525i | 0.473012 | − | 0.881056i | \(-0.343167\pi\) |
0.957471 | + | 0.288531i | \(0.0931667\pi\) | |||||||
\(158\) | −0.483692 | + | 0.763494i | −0.0384804 | + | 0.0607403i | ||||
\(159\) | −12.5757 | −0.997316 | ||||||||
\(160\) | −18.5018 | − | 1.38344i | −1.46269 | − | 0.109370i | ||||
\(161\) | 10.4300 | − | 0.0885166i | 0.821996 | − | 0.00697608i | ||||
\(162\) | −9.00100 | − | 5.70235i | −0.707185 | − | 0.448019i | ||||
\(163\) | −16.3773 | + | 6.78370i | −1.28277 | + | 0.531341i | −0.916823 | − | 0.399295i | \(-0.869255\pi\) |
−0.365947 | + | 0.930636i | \(0.619255\pi\) | |||||||
\(164\) | 7.94103 | − | 22.1657i | 0.620091 | − | 1.73085i | ||||
\(165\) | 8.41077 | + | 3.48386i | 0.654778 | + | 0.271218i | ||||
\(166\) | 1.63387 | − | 9.40501i | 0.126813 | − | 0.729970i | ||||
\(167\) | −17.0701 | − | 17.0701i | −1.32092 | − | 1.32092i | −0.913031 | − | 0.407889i | \(-0.866265\pi\) |
−0.407889 | − | 0.913031i | \(-0.633735\pi\) | |||||||
\(168\) | 10.4894 | + | 5.83339i | 0.809272 | + | 0.450056i | ||||
\(169\) | 6.48932 | − | 6.48932i | 0.499178 | − | 0.499178i | ||||
\(170\) | −12.7531 | − | 18.1157i | −0.978117 | − | 1.38941i | ||||
\(171\) | −1.02758 | + | 2.48079i | −0.0785808 | + | 0.189711i | ||||
\(172\) | −0.508717 | − | 10.4407i | −0.0387893 | − | 0.796093i | ||||
\(173\) | 1.23238 | + | 2.97522i | 0.0936958 | + | 0.226202i | 0.963778 | − | 0.266704i | \(-0.0859347\pi\) |
−0.870083 | + | 0.492906i | \(0.835935\pi\) | |||||||
\(174\) | −2.13139 | − | 9.50044i | −0.161580 | − | 0.720226i | ||||
\(175\) | −15.2315 | + | 0.129266i | −1.15139 | + | 0.00977158i | ||||
\(176\) | −6.10769 | + | 3.25833i | −0.460384 | + | 0.245606i | ||||
\(177\) | 3.58017i | 0.269102i | ||||||||
\(178\) | 3.87607 | + | 17.2771i | 0.290524 | + | 1.29498i | ||||
\(179\) | −4.87872 | − | 11.7783i | −0.364653 | − | 0.880350i | −0.994607 | − | 0.103717i | \(-0.966926\pi\) |
0.629954 | − | 0.776633i | \(-0.283074\pi\) | |||||||
\(180\) | −1.88443 | + | 2.07747i | −0.140457 | + | 0.154845i | ||||
\(181\) | −10.4932 | − | 4.34643i | −0.779954 | − | 0.323067i | −0.0430568 | − | 0.999073i | \(-0.513710\pi\) |
−0.736897 | + | 0.676005i | \(0.763710\pi\) | |||||||
\(182\) | 5.94602 | − | 4.26180i | 0.440748 | − | 0.315906i | ||||
\(183\) | −9.56524 | − | 9.56524i | −0.707083 | − | 0.707083i | ||||
\(184\) | 6.85485 | + | 8.79459i | 0.505346 | + | 0.648346i | ||||
\(185\) | −13.3379 | + | 13.3379i | −0.980623 | + | 0.980623i | ||||
\(186\) | −3.59295 | − | 0.624179i | −0.263448 | − | 0.0457670i | ||||
\(187\) | −7.63684 | − | 3.16328i | −0.558461 | − | 0.231322i | ||||
\(188\) | 2.24213 | − | 1.05935i | 0.163524 | − | 0.0772609i | ||||
\(189\) | 13.3899 | − | 5.67989i | 0.973974 | − | 0.413151i | ||||
\(190\) | −24.6060 | − | 15.5885i | −1.78511 | − | 1.13091i | ||||
\(191\) | 1.18285i | 0.0855883i | 0.999084 | + | 0.0427942i | \(0.0136260\pi\) | ||||
−0.999084 | + | 0.0427942i | \(0.986374\pi\) | |||||||
\(192\) | 1.86742 | + | 12.6944i | 0.134769 | + | 0.916138i | ||||
\(193\) | 19.4496 | 1.40001 | 0.700005 | − | 0.714138i | \(-0.253181\pi\) | ||||
0.700005 | + | 0.714138i | \(0.253181\pi\) | |||||||
\(194\) | 8.36763 | + | 5.30110i | 0.600761 | + | 0.380597i | ||||
\(195\) | −3.93591 | − | 9.50213i | −0.281856 | − | 0.680462i | ||||
\(196\) | −12.5549 | + | 6.19467i | −0.896780 | + | 0.442476i | ||||
\(197\) | −16.1556 | − | 6.69188i | −1.15104 | − | 0.476777i | −0.276159 | − | 0.961112i | \(-0.589062\pi\) |
−0.874882 | + | 0.484335i | \(0.839062\pi\) | |||||||
\(198\) | −0.179119 | + | 1.03106i | −0.0127294 | + | 0.0732741i | ||||
\(199\) | 1.37868 | + | 1.37868i | 0.0977317 | + | 0.0977317i | 0.754282 | − | 0.656550i | \(-0.227985\pi\) |
−0.656550 | + | 0.754282i | \(0.727985\pi\) | |||||||
\(200\) | −10.0105 | − | 12.8432i | −0.707852 | − | 0.908155i | ||||
\(201\) | −16.9101 | − | 16.9101i | −1.19275 | − | 1.19275i | ||||
\(202\) | 4.89879 | + | 6.95871i | 0.344677 | + | 0.489613i | ||||
\(203\) | 10.5292 | + | 4.25700i | 0.739003 | + | 0.298783i | ||||
\(204\) | −10.2938 | + | 11.3483i | −0.720707 | + | 0.794537i | ||||
\(205\) | 35.6728 | − | 14.7761i | 2.49149 | − | 1.03201i | ||||
\(206\) | −18.0358 | + | 4.04627i | −1.25661 | + | 0.281917i | ||||
\(207\) | 1.68567 | 0.117162 | ||||||||
\(208\) | 7.48213 | + | 2.27624i | 0.518792 | + | 0.157829i | ||||
\(209\) | −10.8681 | −0.751760 | ||||||||
\(210\) | 4.47147 | + | 19.1680i | 0.308561 | + | 1.32272i | ||||
\(211\) | −2.63139 | − | 6.35273i | −0.181152 | − | 0.437340i | 0.807052 | − | 0.590480i | \(-0.201061\pi\) |
−0.988205 | + | 0.153140i | \(0.951061\pi\) | |||||||
\(212\) | 15.6630 | − | 0.763176i | 1.07574 | − | 0.0524151i | ||||
\(213\) | 14.3932 | + | 5.96185i | 0.986205 | + | 0.408500i | ||||
\(214\) | 7.96948 | − | 5.61035i | 0.544782 | − | 0.383516i | ||||
\(215\) | 12.1212 | − | 12.1212i | 0.826662 | − | 0.826662i | ||||
\(216\) | 13.5244 | + | 7.67224i | 0.920219 | + | 0.522030i | ||||
\(217\) | 2.98222 | − | 3.03327i | 0.202446 | − | 0.205912i | ||||
\(218\) | −1.13093 | + | 6.50997i | −0.0765964 | + | 0.440911i | ||||
\(219\) | 8.32110 | − | 20.0889i | 0.562288 | − | 1.35748i | ||||
\(220\) | −10.6871 | − | 3.82873i | −0.720521 | − | 0.258133i | ||||
\(221\) | 3.57374 | + | 8.62777i | 0.240396 | + | 0.580367i | ||||
\(222\) | 11.0196 | + | 6.98118i | 0.739587 | + | 0.468546i | ||||
\(223\) | 16.9477 | 1.13490 | 0.567452 | − | 0.823406i | \(-0.307929\pi\) | ||||
0.567452 | + | 0.823406i | \(0.307929\pi\) | |||||||
\(224\) | −13.4185 | − | 6.62894i | −0.896564 | − | 0.442915i | ||||
\(225\) | −2.46169 | −0.164112 | ||||||||
\(226\) | −12.6703 | − | 8.02692i | −0.842814 | − | 0.533943i | ||||
\(227\) | 4.17784 | + | 10.0862i | 0.277293 | + | 0.669444i | 0.999759 | − | 0.0219624i | \(-0.00699141\pi\) |
−0.722466 | + | 0.691406i | \(0.756991\pi\) | |||||||
\(228\) | −6.79401 | + | 18.9640i | −0.449944 | + | 1.25592i | ||||
\(229\) | 4.22854 | − | 10.2086i | 0.279430 | − | 0.674603i | −0.720390 | − | 0.693569i | \(-0.756037\pi\) |
0.999820 | + | 0.0189658i | \(0.00603738\pi\) | |||||||
\(230\) | −3.12979 | + | 18.0159i | −0.206372 | + | 1.18794i | ||||
\(231\) | 5.23673 | + | 5.14859i | 0.344551 | + | 0.338752i | ||||
\(232\) | 3.23121 | + | 11.7035i | 0.212139 | + | 0.768371i | ||||
\(233\) | −9.36264 | + | 9.36264i | −0.613367 | + | 0.613367i | −0.943822 | − | 0.330455i | \(-0.892798\pi\) |
0.330455 | + | 0.943822i | \(0.392798\pi\) | |||||||
\(234\) | 0.966761 | − | 0.680580i | 0.0631992 | − | 0.0444909i | ||||
\(235\) | 3.75707 | + | 1.55623i | 0.245084 | + | 0.101517i | ||||
\(236\) | −0.217268 | − | 4.45911i | −0.0141430 | − | 0.290263i | ||||
\(237\) | 0.392260 | + | 0.947000i | 0.0254800 | + | 0.0615142i | ||||
\(238\) | −4.06002 | − | 17.4042i | −0.263172 | − | 1.12815i | ||||
\(239\) | −13.8214 | −0.894030 | −0.447015 | − | 0.894527i | \(-0.647513\pi\) | ||||
−0.447015 | + | 0.894527i | \(0.647513\pi\) | |||||||
\(240\) | −13.3617 | + | 16.2547i | −0.862495 | + | 1.04924i | ||||
\(241\) | 9.39974 | 0.605490 | 0.302745 | − | 0.953072i | \(-0.402097\pi\) | ||||
0.302745 | + | 0.953072i | \(0.402097\pi\) | |||||||
\(242\) | 11.0462 | − | 2.47817i | 0.710074 | − | 0.159303i | ||||
\(243\) | 4.07247 | − | 1.68687i | 0.261249 | − | 0.108213i | ||||
\(244\) | 12.4940 | + | 11.3331i | 0.799848 | + | 0.725524i | ||||
\(245\) | −21.3571 | − | 8.42464i | −1.36446 | − | 0.538231i | ||||
\(246\) | −15.3713 | − | 21.8349i | −0.980041 | − | 1.39214i | ||||
\(247\) | 8.68205 | + | 8.68205i | 0.552426 | + | 0.552426i | ||||
\(248\) | 4.51291 | + | 0.559372i | 0.286570 | + | 0.0355202i | ||||
\(249\) | −7.65519 | − | 7.65519i | −0.485128 | − | 0.485128i | ||||
\(250\) | 0.601114 | − | 3.46018i | 0.0380178 | − | 0.218841i | ||||
\(251\) | 5.27755 | + | 2.18603i | 0.333116 | + | 0.137981i | 0.542971 | − | 0.839751i | \(-0.317299\pi\) |
−0.209855 | + | 0.977733i | \(0.567299\pi\) | |||||||
\(252\) | −2.03745 | + | 0.983880i | −0.128348 | + | 0.0619786i | ||||
\(253\) | 2.61090 | + | 6.30327i | 0.164146 | + | 0.396283i | ||||
\(254\) | −0.361943 | − | 0.229299i | −0.0227103 | − | 0.0143875i | ||||
\(255\) | −25.1256 | −1.57343 | ||||||||
\(256\) | −3.09625 | − | 15.6976i | −0.193516 | − | 0.981097i | ||||
\(257\) | − | 2.29193i | − | 0.142966i | −0.997442 | − | 0.0714832i | \(-0.977227\pi\) | ||
0.997442 | − | 0.0714832i | \(-0.0227732\pi\) | |||||||
\(258\) | −10.0144 | − | 6.34436i | −0.623469 | − | 0.394983i | ||||
\(259\) | −14.0079 | + | 5.94204i | −0.870409 | + | 0.369220i | ||||
\(260\) | 5.47884 | + | 11.5961i | 0.339783 | + | 0.719158i | ||||
\(261\) | 1.69575 | + | 0.702401i | 0.104964 | + | 0.0434775i | ||||
\(262\) | −24.0122 | − | 4.17147i | −1.48348 | − | 0.257714i | ||||
\(263\) | −18.6879 | + | 18.6879i | −1.15234 | + | 1.15234i | −0.166261 | + | 0.986082i | \(0.553169\pi\) |
−0.986082 | + | 0.166261i | \(0.946831\pi\) | |||||||
\(264\) | −0.965717 | + | 7.79122i | −0.0594358 | + | 0.479517i | ||||
\(265\) | 18.1842 | + | 18.1842i | 1.11705 | + | 1.11705i | ||||
\(266\) | −13.6886 | − | 19.0981i | −0.839300 | − | 1.17098i | ||||
\(267\) | 18.5526 | + | 7.68476i | 1.13540 | + | 0.470300i | ||||
\(268\) | 22.0878 | + | 20.0354i | 1.34923 | + | 1.22386i | ||||
\(269\) | 3.34326 | + | 8.07135i | 0.203842 | + | 0.492119i | 0.992431 | − | 0.122802i | \(-0.0391880\pi\) |
−0.788589 | + | 0.614921i | \(0.789188\pi\) | |||||||
\(270\) | 5.58187 | + | 24.8805i | 0.339702 | + | 1.51418i | ||||
\(271\) | 14.1855i | 0.861707i | 0.902422 | + | 0.430853i | \(0.141787\pi\) | ||||
−0.902422 | + | 0.430853i | \(0.858213\pi\) | |||||||
\(272\) | 12.1322 | − | 14.7590i | 0.735623 | − | 0.894894i | ||||
\(273\) | −0.0704096 | − | 8.29641i | −0.00426138 | − | 0.502121i | ||||
\(274\) | 0.597746 | + | 2.66438i | 0.0361111 | + | 0.160961i | ||||
\(275\) | −3.81285 | − | 9.20503i | −0.229923 | − | 0.555084i | ||||
\(276\) | 12.6309 | − | 0.615436i | 0.760292 | − | 0.0370449i | ||||
\(277\) | 11.8212 | − | 28.5388i | 0.710266 | − | 1.71473i | 0.0109288 | − | 0.999940i | \(-0.496521\pi\) |
0.699337 | − | 0.714792i | \(-0.253479\pi\) | |||||||
\(278\) | −12.2764 | − | 17.4385i | −0.736287 | − | 1.04589i | ||||
\(279\) | 0.486106 | − | 0.486106i | 0.0291024 | − | 0.0291024i | ||||
\(280\) | −6.73247 | − | 23.6024i | −0.402342 | − | 1.41052i | ||||
\(281\) | 4.69886 | + | 4.69886i | 0.280310 | + | 0.280310i | 0.833233 | − | 0.552922i | \(-0.186487\pi\) |
−0.552922 | + | 0.833233i | \(0.686487\pi\) | |||||||
\(282\) | 0.481362 | − | 2.77086i | 0.0286647 | − | 0.165002i | ||||
\(283\) | −16.4409 | − | 6.81004i | −0.977309 | − | 0.404815i | −0.163881 | − | 0.986480i | \(-0.552401\pi\) |
−0.813428 | + | 0.581665i | \(0.802401\pi\) | |||||||
\(284\) | −18.2886 | − | 6.55203i | −1.08523 | − | 0.388792i | ||||
\(285\) | −30.5201 | + | 12.6418i | −1.80785 | + | 0.748838i | ||||
\(286\) | 4.04230 | + | 2.56090i | 0.239026 | + | 0.151429i | ||||
\(287\) | 31.1462 | − | 0.264331i | 1.83850 | − | 0.0156029i | ||||
\(288\) | −2.15943 | − | 1.08968i | −0.127246 | − | 0.0642102i | ||||
\(289\) | 5.81361 | 0.341977 | ||||||||
\(290\) | −10.6555 | + | 16.8194i | −0.625714 | + | 0.987672i | ||||
\(291\) | 10.3788 | − | 4.29904i | 0.608416 | − | 0.252014i | ||||
\(292\) | −9.14482 | + | 25.5258i | −0.535160 | + | 1.49378i | ||||
\(293\) | 9.92100 | − | 23.9514i | 0.579591 | − | 1.39926i | −0.313590 | − | 0.949559i | \(-0.601532\pi\) |
0.893181 | − | 0.449698i | \(-0.148468\pi\) | |||||||
\(294\) | −2.45170 | + | 15.6871i | −0.142986 | + | 0.914891i | ||||
\(295\) | 5.17687 | − | 5.17687i | 0.301409 | − | 0.301409i | ||||
\(296\) | −14.1486 | − | 8.02634i | −0.822371 | − | 0.466521i | ||||
\(297\) | 6.72736 | + | 6.72736i | 0.390361 | + | 0.390361i | ||||
\(298\) | −0.774773 | − | 1.10056i | −0.0448814 | − | 0.0637539i | ||||
\(299\) | 2.94968 | − | 7.12117i | 0.170585 | − | 0.411828i | ||||
\(300\) | −18.4457 | + | 0.898758i | −1.06496 | + | 0.0518898i | ||||
\(301\) | 12.7301 | − | 5.40001i | 0.733752 | − | 0.311251i | ||||
\(302\) | 10.6260 | − | 2.38390i | 0.611455 | − | 0.137178i | ||||
\(303\) | 9.65139 | 0.554458 | ||||||||
\(304\) | 7.31110 | − | 24.0320i | 0.419320 | − | 1.37833i | ||||
\(305\) | 27.6624i | 1.58394i | ||||||||
\(306\) | −0.632255 | − | 2.81821i | −0.0361436 | − | 0.161106i | ||||
\(307\) | −1.54666 | + | 0.640647i | −0.0882725 | + | 0.0365637i | −0.426383 | − | 0.904543i | \(-0.640212\pi\) |
0.338110 | + | 0.941107i | \(0.390212\pi\) | |||||||
\(308\) | −6.83481 | − | 6.09478i | −0.389449 | − | 0.347283i | ||||
\(309\) | −8.02220 | + | 19.3673i | −0.456367 | + | 1.10177i | ||||
\(310\) | 4.29280 | + | 6.09790i | 0.243815 | + | 0.346338i | ||||
\(311\) | 11.3406 | − | 11.3406i | 0.643065 | − | 0.643065i | −0.308243 | − | 0.951308i | \(-0.599741\pi\) |
0.951308 | + | 0.308243i | \(0.0997408\pi\) | |||||||
\(312\) | 6.99556 | − | 5.45262i | 0.396046 | − | 0.308694i | ||||
\(313\) | −19.5964 | + | 19.5964i | −1.10765 | + | 1.10765i | −0.114194 | + | 0.993458i | \(0.536429\pi\) |
−0.993458 | + | 0.114194i | \(0.963571\pi\) | |||||||
\(314\) | −4.69606 | + | 27.0318i | −0.265014 | + | 1.52549i | ||||
\(315\) | −3.43990 | − | 1.39077i | −0.193816 | − | 0.0783610i | ||||
\(316\) | −0.546031 | − | 1.15569i | −0.0307167 | − | 0.0650124i | ||||
\(317\) | −11.8111 | − | 28.5145i | −0.663378 | − | 1.60154i | −0.792476 | − | 0.609903i | \(-0.791208\pi\) |
0.129098 | − | 0.991632i | \(-0.458792\pi\) | |||||||
\(318\) | 9.51779 | − | 15.0236i | 0.533731 | − | 0.842479i | ||||
\(319\) | 7.42887i | 0.415937i | ||||||||
\(320\) | 15.6556 | − | 21.0561i | 0.875175 | − | 1.17707i | ||||
\(321\) | − | 11.0533i | − | 0.616934i | ||||||
\(322\) | −7.78807 | + | 12.5272i | −0.434012 | + | 0.698112i | ||||
\(323\) | 27.7117 | − | 11.4786i | 1.54192 | − | 0.638685i | ||||
\(324\) | 13.6246 | − | 6.43728i | 0.756924 | − | 0.357627i | ||||
\(325\) | −4.30759 | + | 10.3995i | −0.238942 | + | 0.576858i | ||||
\(326\) | 4.29085 | − | 24.6994i | 0.237648 | − | 1.36797i | ||||
\(327\) | 5.29878 | + | 5.29878i | 0.293023 | + | 0.293023i | ||||
\(328\) | 20.4701 | + | 26.2626i | 1.13027 | + | 1.45011i | ||||
\(329\) | 2.33923 | + | 2.29986i | 0.128966 | + | 0.126796i | ||||
\(330\) | −10.5276 | + | 7.41122i | −0.579526 | + | 0.407974i | ||||
\(331\) | 13.5211 | + | 5.60063i | 0.743188 | + | 0.307839i | 0.721959 | − | 0.691936i | \(-0.243242\pi\) |
0.0212294 | + | 0.999775i | \(0.493242\pi\) | |||||||
\(332\) | 9.99913 | + | 9.06999i | 0.548774 | + | 0.497781i | ||||
\(333\) | −2.27192 | + | 0.941060i | −0.124500 | + | 0.0515698i | ||||
\(334\) | 33.3121 | − | 7.47346i | 1.82276 | − | 0.408929i | ||||
\(335\) | 48.9036i | 2.67189i | ||||||||
\(336\) | −14.9076 | + | 8.11619i | −0.813279 | + | 0.442774i | ||||
\(337\) | 6.37261i | 0.347138i | 0.984822 | + | 0.173569i | \(0.0555300\pi\) | ||||
−0.984822 | + | 0.173569i | \(0.944470\pi\) | |||||||
\(338\) | 2.84109 | + | 12.6638i | 0.154535 | + | 0.688823i | ||||
\(339\) | −15.7156 | + | 6.50961i | −0.853553 | + | 0.353553i | ||||
\(340\) | 31.2940 | − | 1.52479i | 1.69716 | − | 0.0826932i | ||||
\(341\) | 2.57063 | + | 1.06479i | 0.139207 | + | 0.0576615i | ||||
\(342\) | −2.18597 | − | 3.10516i | −0.118204 | − | 0.167908i | ||||
\(343\) | −13.4249 | − | 12.7582i | −0.724878 | − | 0.688877i | ||||
\(344\) | 12.8580 | + | 7.29418i | 0.693256 | + | 0.393276i | ||||
\(345\) | 14.6640 | + | 14.6640i | 0.789486 | + | 0.789486i | ||||
\(346\) | −4.48706 | − | 0.779506i | −0.241226 | − | 0.0419065i | ||||
\(347\) | −6.67863 | + | 16.1236i | −0.358528 | + | 0.865563i | 0.636980 | + | 0.770881i | \(0.280183\pi\) |
−0.995508 | + | 0.0946821i | \(0.969817\pi\) | |||||||
\(348\) | 12.9628 | + | 4.64405i | 0.694881 | + | 0.248947i | ||||
\(349\) | −2.61663 | + | 1.08385i | −0.140065 | + | 0.0580169i | −0.451615 | − | 0.892213i | \(-0.649152\pi\) |
0.311550 | + | 0.950230i | \(0.399152\pi\) | |||||||
\(350\) | 11.3734 | − | 18.2941i | 0.607933 | − | 0.977863i | ||||
\(351\) | − | 10.7484i | − | 0.573709i | ||||||
\(352\) | 0.729980 | − | 9.76260i | 0.0389081 | − | 0.520348i | ||||
\(353\) | 4.13609i | 0.220142i | 0.993924 | + | 0.110071i | \(0.0351078\pi\) | ||||
−0.993924 | + | 0.110071i | \(0.964892\pi\) | |||||||
\(354\) | −4.27706 | − | 2.70962i | −0.227323 | − | 0.144015i | ||||
\(355\) | −12.1916 | − | 29.4331i | −0.647062 | − | 1.56215i | ||||
\(356\) | −23.5737 | − | 8.44549i | −1.24941 | − | 0.447610i | ||||
\(357\) | −18.7906 | − | 7.59714i | −0.994503 | − | 0.402083i | ||||
\(358\) | 17.7634 | + | 3.08591i | 0.938823 | + | 0.163095i | ||||
\(359\) | 3.88907 | − | 3.88907i | 0.205257 | − | 0.205257i | −0.596991 | − | 0.802248i | \(-0.703637\pi\) |
0.802248 | + | 0.596991i | \(0.203637\pi\) | |||||||
\(360\) | −1.05564 | − | 3.82354i | −0.0556371 | − | 0.201518i | ||||
\(361\) | 14.4510 | − | 14.4510i | 0.760581 | − | 0.760581i | ||||
\(362\) | 13.1341 | − | 9.24617i | 0.690315 | − | 0.485968i | ||||
\(363\) | 4.91326 | − | 11.8616i | 0.257879 | − | 0.622575i | ||||
\(364\) | 0.591176 | + | 10.3289i | 0.0309861 | + | 0.541383i | ||||
\(365\) | −41.0804 | + | 17.0161i | −2.15025 | + | 0.890662i | ||||
\(366\) | 18.6665 | − | 4.18777i | 0.975714 | − | 0.218898i | ||||
\(367\) | − | 24.9377i | − | 1.30174i | −0.759191 | − | 0.650868i | \(-0.774405\pi\) | ||
0.759191 | − | 0.650868i | \(-0.225595\pi\) | |||||||
\(368\) | −15.6945 | + | 1.53306i | −0.818132 | + | 0.0799160i | ||||
\(369\) | 5.03380 | 0.262049 | ||||||||
\(370\) | −5.83949 | − | 26.0288i | −0.303580 | − | 1.35317i | ||||
\(371\) | 8.10107 | + | 19.0977i | 0.420587 | + | 0.991502i | ||||
\(372\) | 3.46497 | − | 3.81992i | 0.179650 | − | 0.198054i | ||||
\(373\) | 5.37300 | − | 12.9716i | 0.278203 | − | 0.671642i | −0.721583 | − | 0.692328i | \(-0.756585\pi\) |
0.999786 | + | 0.0206863i | \(0.00658511\pi\) | |||||||
\(374\) | 9.55889 | − | 6.72926i | 0.494278 | − | 0.347962i | ||||
\(375\) | −2.81641 | − | 2.81641i | −0.145439 | − | 0.145439i | ||||
\(376\) | −0.431384 | + | 3.48032i | −0.0222469 | + | 0.179484i | ||||
\(377\) | 5.93462 | − | 5.93462i | 0.305648 | − | 0.305648i | ||||
\(378\) | −3.34855 | + | 20.2951i | −0.172231 | + | 1.04387i | ||||
\(379\) | −1.16457 | + | 2.81151i | −0.0598198 | + | 0.144418i | −0.950963 | − | 0.309304i | \(-0.899904\pi\) |
0.891143 | + | 0.453722i | \(0.149904\pi\) | |||||||
\(380\) | 37.2457 | − | 17.5976i | 1.91066 | − | 0.902738i | ||||
\(381\) | −0.448936 | + | 0.185955i | −0.0229997 | + | 0.00952678i | ||||
\(382\) | −1.41310 | − | 0.895232i | −0.0723004 | − | 0.0458041i | ||||
\(383\) | −3.47305 | −0.177465 | −0.0887323 | − | 0.996056i | \(-0.528282\pi\) | ||||
−0.0887323 | + | 0.996056i | \(0.528282\pi\) | |||||||
\(384\) | −16.5787 | − | 7.37671i | −0.846028 | − | 0.376441i | ||||
\(385\) | −0.127446 | − | 15.0170i | −0.00649523 | − | 0.765338i | ||||
\(386\) | −14.7202 | + | 23.2355i | −0.749239 | + | 1.18265i | ||||
\(387\) | 2.06468 | − | 0.855218i | 0.104953 | − | 0.0434732i | ||||
\(388\) | −12.6659 | + | 5.98432i | −0.643015 | + | 0.303808i | ||||
\(389\) | −1.28749 | − | 0.533295i | −0.0652782 | − | 0.0270391i | 0.349805 | − | 0.936822i | \(-0.386248\pi\) |
−0.415084 | + | 0.909783i | \(0.636248\pi\) | |||||||
\(390\) | 14.3306 | + | 2.48956i | 0.725658 | + | 0.126064i | ||||
\(391\) | −13.3147 | − | 13.3147i | −0.673353 | − | 0.673353i | ||||
\(392\) | 2.10160 | − | 19.6871i | 0.106147 | − | 0.994350i | ||||
\(393\) | −19.5447 | + | 19.5447i | −0.985899 | + | 0.985899i | ||||
\(394\) | 20.2217 | − | 14.2357i | 1.01875 | − | 0.717182i | ||||
\(395\) | 0.802145 | − | 1.93655i | 0.0403603 | − | 0.0974383i | ||||
\(396\) | −1.09619 | − | 0.994332i | −0.0550857 | − | 0.0499670i | ||||
\(397\) | 2.39585 | + | 5.78408i | 0.120244 | + | 0.290295i | 0.972529 | − | 0.232784i | \(-0.0747834\pi\) |
−0.852284 | + | 0.523079i | \(0.824783\pi\) | |||||||
\(398\) | −2.69047 | + | 0.603599i | −0.134861 | + | 0.0302557i | ||||
\(399\) | −26.6474 | + | 0.226150i | −1.33404 | + | 0.0113217i | ||||
\(400\) | 22.9196 | − | 2.23881i | 1.14598 | − | 0.111941i | ||||
\(401\) | 24.7768i | 1.23729i | 0.785670 | + | 0.618646i | \(0.212318\pi\) | ||||
−0.785670 | + | 0.618646i | \(0.787682\pi\) | |||||||
\(402\) | 33.0000 | − | 7.40344i | 1.64589 | − | 0.369250i | ||||
\(403\) | −1.20295 | − | 2.90418i | −0.0599233 | − | 0.144668i | ||||
\(404\) | −12.0208 | + | 0.585710i | −0.598059 | + | 0.0291402i | ||||
\(405\) | 22.8304 | + | 9.45666i | 1.13445 | + | 0.469905i | ||||
\(406\) | −13.0545 | + | 9.35682i | −0.647886 | + | 0.464371i | ||||
\(407\) | −7.03785 | − | 7.03785i | −0.348853 | − | 0.348853i | ||||
\(408\) | −5.76648 | − | 20.8863i | −0.285483 | − | 1.03402i | ||||
\(409\) | 15.4708 | − | 15.4708i | 0.764983 | − | 0.764983i | −0.212236 | − | 0.977219i | \(-0.568074\pi\) |
0.977219 | + | 0.212236i | \(0.0680745\pi\) | |||||||
\(410\) | −9.34625 | + | 53.7997i | −0.461579 | + | 2.65698i | ||||
\(411\) | 2.86108 | + | 1.18510i | 0.141127 | + | 0.0584567i | ||||
\(412\) | 8.81633 | − | 24.6089i | 0.434349 | − | 1.21239i | ||||
\(413\) | 5.43692 | − | 2.30629i | 0.267533 | − | 0.113485i | ||||
\(414\) | −1.27579 | + | 2.01379i | −0.0627014 | + | 0.0989725i | ||||
\(415\) | 22.1386i | 1.08674i | ||||||||
\(416\) | −8.38209 | + | 7.21579i | −0.410966 | + | 0.353783i | ||||
\(417\) | −24.1864 | −1.18441 | ||||||||
\(418\) | 8.22539 | − | 12.9836i | 0.402317 | − | 0.635046i | ||||
\(419\) | −4.69115 | − | 11.3254i | −0.229178 | − | 0.553284i | 0.766900 | − | 0.641767i | \(-0.221798\pi\) |
−0.996078 | + | 0.0884825i | \(0.971798\pi\) | |||||||
\(420\) | −26.2833 | − | 9.16528i | −1.28249 | − | 0.447220i | ||||
\(421\) | 2.12744 | + | 0.881214i | 0.103685 | + | 0.0429477i | 0.433923 | − | 0.900950i | \(-0.357129\pi\) |
−0.330238 | + | 0.943898i | \(0.607129\pi\) | |||||||
\(422\) | 9.58084 | + | 1.66441i | 0.466388 | + | 0.0810224i | ||||
\(423\) | 0.374881 | + | 0.374881i | 0.0182274 | + | 0.0182274i | ||||
\(424\) | −10.9427 | + | 19.2895i | −0.531424 | + | 0.936780i | ||||
\(425\) | 19.4442 | + | 19.4442i | 0.943184 | + | 0.943184i | ||||
\(426\) | −18.0157 | + | 12.6827i | −0.872863 | + | 0.614477i | ||||
\(427\) | −8.36417 | + | 20.6878i | −0.404771 | + | 1.00115i | ||||
\(428\) | 0.670786 | + | 13.7669i | 0.0324237 | + | 0.665448i | ||||
\(429\) | 5.01387 | − | 2.07681i | 0.242072 | − | 0.100269i | ||||
\(430\) | 5.30681 | + | 23.6545i | 0.255917 | + | 1.14072i | ||||
\(431\) | 3.27744 | 0.157869 | 0.0789344 | − | 0.996880i | \(-0.474848\pi\) | ||||
0.0789344 | + | 0.996880i | \(0.474848\pi\) | |||||||
\(432\) | −19.4015 | + | 10.3503i | −0.933454 | + | 0.497979i | ||||
\(433\) | −28.2895 | −1.35951 | −0.679753 | − | 0.733441i | \(-0.737913\pi\) | ||||
−0.679753 | + | 0.733441i | \(0.737913\pi\) | |||||||
\(434\) | 1.36664 | + | 5.85841i | 0.0656007 | + | 0.281213i | ||||
\(435\) | 8.64133 | + | 20.8620i | 0.414320 | + | 1.00026i | ||||
\(436\) | −6.92121 | − | 6.27808i | −0.331466 | − | 0.300665i | ||||
\(437\) | −22.8726 | − | 9.47415i | −1.09415 | − | 0.453210i | ||||
\(438\) | 17.7015 | + | 25.1449i | 0.845810 | + | 1.20147i | ||||
\(439\) | 4.50823 | − | 4.50823i | 0.215166 | − | 0.215166i | −0.591292 | − | 0.806458i | \(-0.701382\pi\) |
0.806458 | + | 0.591292i | \(0.201382\pi\) | |||||||
\(440\) | 12.6624 | − | 9.86958i | 0.603656 | − | 0.470514i | ||||
\(441\) | −2.15206 | − | 2.08022i | −0.102479 | − | 0.0990580i | ||||
\(442\) | −13.0119 | − | 2.26047i | −0.618915 | − | 0.107520i | ||||
\(443\) | 10.8179 | − | 26.1167i | 0.513974 | − | 1.24084i | −0.427579 | − | 0.903978i | \(-0.640633\pi\) |
0.941553 | − | 0.336865i | \(-0.109367\pi\) | |||||||
\(444\) | −16.6802 | + | 7.88094i | −0.791605 | + | 0.374013i | ||||
\(445\) | −15.7148 | − | 37.9389i | −0.744953 | − | 1.79848i | ||||
\(446\) | −12.8267 | + | 20.2466i | −0.607364 | + | 0.958706i | ||||
\(447\) | −1.52643 | −0.0721975 | ||||||||
\(448\) | 18.0750 | − | 11.0134i | 0.853962 | − | 0.520336i | ||||
\(449\) | −6.66884 | −0.314722 | −0.157361 | − | 0.987541i | \(-0.550299\pi\) | ||||
−0.157361 | + | 0.987541i | \(0.550299\pi\) | |||||||
\(450\) | 1.86310 | − | 2.94086i | 0.0878276 | − | 0.138633i | ||||
\(451\) | 7.79674 | + | 18.8230i | 0.367134 | + | 0.886340i | ||||
\(452\) | 19.1788 | − | 9.06146i | 0.902093 | − | 0.426215i | ||||
\(453\) | 4.72636 | − | 11.4104i | 0.222064 | − | 0.536109i | ||||
\(454\) | −15.2114 | − | 2.64258i | −0.713908 | − | 0.124022i | ||||
\(455\) | −11.8947 | + | 12.0983i | −0.557630 | + | 0.567176i | ||||
\(456\) | −17.5134 | − | 22.4692i | −0.820139 | − | 1.05222i | ||||
\(457\) | −28.6941 | + | 28.6941i | −1.34225 | + | 1.34225i | −0.448440 | + | 0.893813i | \(0.648020\pi\) |
−0.893813 | + | 0.448440i | \(0.851980\pi\) | |||||||
\(458\) | 8.99538 | + | 12.7779i | 0.420327 | + | 0.597072i | ||||
\(459\) | −24.2589 | − | 10.0484i | −1.13231 | − | 0.469018i | ||||
\(460\) | −19.1540 | − | 17.3742i | −0.893061 | − | 0.810076i | ||||
\(461\) | 5.01448 | + | 12.1060i | 0.233548 | + | 0.563834i | 0.996590 | − | 0.0825148i | \(-0.0262952\pi\) |
−0.763042 | + | 0.646349i | \(0.776295\pi\) | |||||||
\(462\) | −10.1141 | + | 2.35940i | −0.470552 | + | 0.109769i | ||||
\(463\) | 6.13090 | 0.284927 | 0.142464 | − | 0.989800i | \(-0.454498\pi\) | ||||
0.142464 | + | 0.989800i | \(0.454498\pi\) | |||||||
\(464\) | −16.4271 | − | 4.99750i | −0.762608 | − | 0.232003i | ||||
\(465\) | 8.45750 | 0.392207 | ||||||||
\(466\) | −4.09906 | − | 18.2711i | −0.189885 | − | 0.846393i | ||||
\(467\) | −20.1285 | + | 8.33748i | −0.931434 | + | 0.385813i | −0.796222 | − | 0.605004i | \(-0.793172\pi\) |
−0.135212 | + | 0.990817i | \(0.543172\pi\) | |||||||
\(468\) | 0.0813717 | + | 1.67003i | 0.00376141 | + | 0.0771973i | ||||
\(469\) | −14.7868 | + | 36.5733i | −0.682791 | + | 1.68880i | ||||
\(470\) | −4.70266 | + | 3.31057i | −0.216917 | + | 0.152705i | ||||
\(471\) | 22.0025 | + | 22.0025i | 1.01382 | + | 1.01382i | ||||
\(472\) | 5.49152 | + | 3.11528i | 0.252768 | + | 0.143392i | ||||
\(473\) | 6.39586 | + | 6.39586i | 0.294082 | + | 0.294082i | ||||
\(474\) | −1.42821 | − | 0.248114i | −0.0656000 | − | 0.0113962i | ||||
\(475\) | 33.4022 | + | 13.8357i | 1.53260 | + | 0.634823i | ||||
\(476\) | 23.8648 | + | 8.32192i | 1.09384 | + | 0.381434i | ||||
\(477\) | 1.28299 | + | 3.09742i | 0.0587442 | + | 0.141821i | ||||
\(478\) | 10.4606 | − | 16.5117i | 0.478455 | − | 0.755228i | ||||
\(479\) | 13.7472 | 0.628126 | 0.314063 | − | 0.949402i | \(-0.398310\pi\) | ||||
0.314063 | + | 0.949402i | \(0.398310\pi\) | |||||||
\(480\) | −9.30599 | − | 28.2648i | −0.424758 | − | 1.29011i | ||||
\(481\) | 11.2445i | 0.512705i | ||||||||
\(482\) | −7.11410 | + | 11.2294i | −0.324038 | + | 0.511486i | ||||
\(483\) | 6.53283 | + | 15.4007i | 0.297254 | + | 0.700754i | ||||
\(484\) | −5.39963 | + | 15.0719i | −0.245438 | + | 0.685086i | ||||
\(485\) | −21.2239 | − | 8.79123i | −0.963728 | − | 0.399189i | ||||
\(486\) | −1.06699 | + | 6.14187i | −0.0483994 | + | 0.278601i | ||||
\(487\) | 0.0110405 | − | 0.0110405i | 0.000500293 | − | 0.000500293i | −0.706857 | − | 0.707357i | \(-0.749887\pi\) |
0.707357 | + | 0.706857i | \(0.249887\pi\) | |||||||
\(488\) | −22.9950 | + | 6.34868i | −1.04094 | + | 0.287391i | ||||
\(489\) | −20.1040 | − | 20.1040i | −0.909135 | − | 0.909135i | ||||
\(490\) | 26.2284 | − | 19.1382i | 1.18488 | − | 0.864576i | ||||
\(491\) | 21.6122 | + | 8.95208i | 0.975347 | + | 0.404002i | 0.812700 | − | 0.582682i | \(-0.197997\pi\) |
0.162647 | + | 0.986684i | \(0.447997\pi\) | |||||||
\(492\) | 37.7188 | − | 1.83783i | 1.70049 | − | 0.0828559i | ||||
\(493\) | −7.84618 | − | 18.9424i | −0.353374 | − | 0.853121i | ||||
\(494\) | −16.9430 | + | 3.80110i | −0.762300 | + | 0.171019i | ||||
\(495\) | − | 2.42702i | − | 0.109087i | ||||||
\(496\) | −4.08381 | + | 4.96800i | −0.183368 | + | 0.223070i | ||||
\(497\) | −0.218095 | − | 25.6983i | −0.00978291 | − | 1.15273i | ||||
\(498\) | 14.9390 | − | 3.35153i | 0.669435 | − | 0.150186i | ||||
\(499\) | 1.57963 | + | 3.81356i | 0.0707139 | + | 0.170719i | 0.955285 | − | 0.295687i | \(-0.0955486\pi\) |
−0.884571 | + | 0.466406i | \(0.845549\pi\) | |||||||
\(500\) | 3.67876 | + | 3.33693i | 0.164519 | + | 0.149232i | ||||
\(501\) | 14.8170 | − | 35.7714i | 0.661974 | − | 1.59815i | ||||
\(502\) | −6.60582 | + | 4.65036i | −0.294832 | + | 0.207556i | ||||
\(503\) | −10.9031 | + | 10.9031i | −0.486147 | + | 0.486147i | −0.907088 | − | 0.420941i | \(-0.861700\pi\) |
0.420941 | + | 0.907088i | \(0.361700\pi\) | |||||||
\(504\) | 0.366634 | − | 3.17869i | 0.0163312 | − | 0.141590i | ||||
\(505\) | −13.9558 | − | 13.9558i | −0.621023 | − | 0.621023i | ||||
\(506\) | −9.50625 | − | 1.65145i | −0.422604 | − | 0.0734161i | ||||
\(507\) | 13.5988 | + | 5.63280i | 0.603943 | + | 0.250161i | ||||
\(508\) | 0.547866 | − | 0.258852i | 0.0243076 | − | 0.0114847i | ||||
\(509\) | 18.9139 | − | 7.83440i | 0.838345 | − | 0.347254i | 0.0781442 | − | 0.996942i | \(-0.475101\pi\) |
0.760201 | + | 0.649688i | \(0.225101\pi\) | |||||||
\(510\) | 19.0161 | − | 30.0163i | 0.842046 | − | 1.32915i | ||||
\(511\) | −35.8677 | + | 0.304401i | −1.58670 | + | 0.0134659i | ||||
\(512\) | 21.0965 | + | 8.18160i | 0.932341 | + | 0.361579i | ||||
\(513\) | −34.5231 | −1.52423 | ||||||||
\(514\) | 2.73805 | + | 1.73462i | 0.120770 | + | 0.0765109i | ||||
\(515\) | 39.6048 | − | 16.4048i | 1.74519 | − | 0.722883i | ||||
\(516\) | 15.1586 | − | 7.16204i | 0.667320 | − | 0.315291i | ||||
\(517\) | −0.821156 | + | 1.98245i | −0.0361144 | + | 0.0871879i | ||||
\(518\) | 3.50309 | − | 21.2317i | 0.153917 | − | 0.932869i | ||||
\(519\) | −3.65224 | + | 3.65224i | −0.160315 | + | 0.160315i | ||||
\(520\) | −17.9999 | − | 2.23107i | −0.789347 | − | 0.0978390i | ||||
\(521\) | −19.0346 | − | 19.0346i | −0.833921 | − | 0.833921i | 0.154129 | − | 0.988051i | \(-0.450743\pi\) |
−0.988051 | + | 0.154129i | \(0.950743\pi\) | |||||||
\(522\) | −2.12253 | + | 1.49422i | −0.0929008 | + | 0.0654002i | ||||
\(523\) | 3.90361 | − | 9.42414i | 0.170693 | − | 0.412089i | −0.815264 | − | 0.579089i | \(-0.803408\pi\) |
0.985957 | + | 0.167001i | \(0.0534082\pi\) | |||||||
\(524\) | 23.1569 | − | 25.5291i | 1.01161 | − | 1.11524i | ||||
\(525\) | −9.54027 | − | 22.4905i | −0.416371 | − | 0.981565i | ||||
\(526\) | −8.18175 | − | 36.4692i | −0.356741 | − | 1.59013i | ||||
\(527\) | −7.67926 | −0.334514 | ||||||||
\(528\) | −8.57690 | − | 7.05041i | −0.373262 | − | 0.306830i | ||||
\(529\) | − | 7.45829i | − | 0.324273i | ||||||
\(530\) | −35.4864 | + | 7.96126i | −1.54143 | + | 0.345815i | ||||
\(531\) | 0.881805 | − | 0.365255i | 0.0382671 | − | 0.0158507i | ||||
\(532\) | 33.1757 | − | 1.89881i | 1.43835 | − | 0.0823239i | ||||
\(533\) | 8.80843 | − | 21.2654i | 0.381535 | − | 0.921108i | ||||
\(534\) | −23.2220 | + | 16.3478i | −1.00491 | + | 0.707439i | ||||
\(535\) | −15.9829 | + | 15.9829i | −0.691000 | + | 0.691000i | ||||
\(536\) | −40.6523 | + | 11.2237i | −1.75591 | + | 0.484789i | ||||
\(537\) | 14.4585 | − | 14.4585i | 0.623928 | − | 0.623928i | ||||
\(538\) | −12.1728 | − | 2.11469i | −0.524805 | − | 0.0911708i | ||||
\(539\) | 4.44533 | − | 11.2692i | 0.191474 | − | 0.485401i | ||||
\(540\) | −33.9481 | − | 12.1622i | −1.46090 | − | 0.523378i | ||||
\(541\) | 4.28101 | + | 10.3353i | 0.184055 | + | 0.444348i | 0.988795 | − | 0.149279i | \(-0.0476954\pi\) |
−0.804740 | + | 0.593627i | \(0.797695\pi\) | |||||||
\(542\) | −16.9467 | − | 10.7362i | −0.727924 | − | 0.461157i | ||||
\(543\) | − | 18.2164i | − | 0.781742i | ||||||
\(544\) | 8.44968 | + | 25.6640i | 0.362277 | + | 1.10033i | ||||
\(545\) | − | 15.3239i | − | 0.656404i | ||||||
\(546\) | 9.96461 | + | 6.19494i | 0.426446 | + | 0.265119i | ||||
\(547\) | 10.6908 | − | 4.42825i | 0.457103 | − | 0.189338i | −0.142237 | − | 0.989833i | \(-0.545430\pi\) |
0.599341 | + | 0.800494i | \(0.295430\pi\) | |||||||
\(548\) | −3.63541 | − | 1.30242i | −0.155297 | − | 0.0556364i | ||||
\(549\) | −1.38008 | + | 3.33181i | −0.0589004 | + | 0.142198i | ||||
\(550\) | 13.8825 | + | 2.41172i | 0.591953 | + | 0.102836i | ||||
\(551\) | −19.0615 | − | 19.0615i | −0.812048 | − | 0.812048i | ||||
\(552\) | −8.82436 | + | 15.5553i | −0.375590 | + | 0.662079i | ||||
\(553\) | 1.18544 | − | 1.20574i | 0.0504102 | − | 0.0512732i | ||||
\(554\) | 25.1472 | + | 35.7215i | 1.06840 | + | 1.51766i | ||||
\(555\) | −27.9504 | − | 11.5775i | −1.18643 | − | 0.491436i | ||||
\(556\) | 30.1242 | − | 1.46779i | 1.27755 | − | 0.0622481i | ||||
\(557\) | −33.8865 | + | 14.0362i | −1.43582 | + | 0.594735i | −0.958780 | − | 0.284148i | \(-0.908289\pi\) |
−0.477037 | + | 0.878883i | \(0.658289\pi\) | |||||||
\(558\) | 0.212823 | + | 0.948633i | 0.00900950 | + | 0.0401588i | ||||
\(559\) | − | 10.2188i | − | 0.432209i | ||||||
\(560\) | 33.2921 | + | 9.82034i | 1.40685 | + | 0.414985i | ||||
\(561\) | − | 13.2577i | − | 0.559741i | ||||||
\(562\) | −9.16979 | + | 2.05721i | −0.386804 | + | 0.0867783i | ||||
\(563\) | 21.1693 | − | 8.76863i | 0.892182 | − | 0.369554i | 0.110973 | − | 0.993823i | \(-0.464603\pi\) |
0.781209 | + | 0.624270i | \(0.214603\pi\) | |||||||
\(564\) | 2.94589 | + | 2.67216i | 0.124045 | + | 0.112518i | ||||
\(565\) | 32.1373 | + | 13.3117i | 1.35203 | + | 0.560027i | ||||
\(566\) | 20.5788 | − | 14.4870i | 0.864990 | − | 0.608935i | ||||
\(567\) | 14.2147 | + | 13.9755i | 0.596962 | + | 0.586914i | ||||
\(568\) | 21.6689 | − | 16.8896i | 0.909208 | − | 0.708672i | ||||
\(569\) | 25.2475 | + | 25.2475i | 1.05843 | + | 1.05843i | 0.998183 | + | 0.0602471i | \(0.0191889\pi\) |
0.0602471 | + | 0.998183i | \(0.480811\pi\) | |||||||
\(570\) | 7.99626 | − | 46.0287i | 0.334926 | − | 1.92793i | ||||
\(571\) | 2.21010 | − | 5.33564i | 0.0924896 | − | 0.223290i | −0.870864 | − | 0.491524i | \(-0.836440\pi\) |
0.963354 | + | 0.268234i | \(0.0864401\pi\) | |||||||
\(572\) | −6.11876 | + | 2.89095i | −0.255838 | + | 0.120877i | ||||
\(573\) | −1.75274 | + | 0.726008i | −0.0732217 | + | 0.0303294i | ||||
\(574\) | −23.2570 | + | 37.4090i | −0.970727 | + | 1.56142i | ||||
\(575\) | − | 22.6965i | − | 0.946508i | ||||||
\(576\) | 2.93614 | − | 1.75505i | 0.122339 | − | 0.0731272i | ||||
\(577\) | 22.2828i | 0.927647i | 0.885928 | + | 0.463823i | \(0.153523\pi\) | ||||
−0.885928 | + | 0.463823i | \(0.846477\pi\) | |||||||
\(578\) | −4.39998 | + | 6.94524i | −0.183015 | + | 0.288884i | ||||
\(579\) | 11.9377 | + | 28.8201i | 0.496113 | + | 1.19772i | ||||
\(580\) | −12.0288 | − | 25.4593i | −0.499471 | − | 1.05714i | ||||
\(581\) | −6.69396 | + | 16.5567i | −0.277712 | + | 0.686887i | ||||
\(582\) | −2.71924 | + | 15.6527i | −0.112716 | + | 0.648827i | ||||
\(583\) | −9.59505 | + | 9.59505i | −0.397386 | + | 0.397386i | ||||
\(584\) | −23.5732 | − | 30.2438i | −0.975467 | − | 1.25150i | ||||
\(585\) | −1.93885 | + | 1.93885i | −0.0801616 | + | 0.0801616i | ||||
\(586\) | 21.1050 | + | 29.9795i | 0.871839 | + | 1.23844i | ||||
\(587\) | 2.84911 | − | 6.87836i | 0.117595 | − | 0.283900i | −0.854112 | − | 0.520090i | \(-0.825899\pi\) |
0.971707 | + | 0.236189i | \(0.0758986\pi\) | |||||||
\(588\) | −16.8851 | − | 14.8016i | −0.696330 | − | 0.610407i | ||||
\(589\) | −9.32801 | + | 3.86379i | −0.384354 | + | 0.159205i | ||||
\(590\) | 2.26649 | + | 10.1026i | 0.0933099 | + | 0.415918i | ||||
\(591\) | − | 28.0465i | − | 1.15368i | ||||||
\(592\) | 20.2969 | − | 10.8280i | 0.834198 | − | 0.445028i | ||||
\(593\) | −14.7349 | −0.605088 | −0.302544 | − | 0.953135i | \(-0.597836\pi\) | ||||
−0.302544 | + | 0.953135i | \(0.597836\pi\) | |||||||
\(594\) | −13.1284 | + | 2.94531i | −0.538665 | + | 0.120848i | ||||
\(595\) | 16.1855 | + | 38.1562i | 0.663543 | + | 1.56425i | ||||
\(596\) | 1.90117 | − | 0.0926337i | 0.0778749 | − | 0.00379442i | ||||
\(597\) | −1.19670 | + | 2.88910i | −0.0489779 | + | 0.118243i | ||||
\(598\) | 6.27487 | + | 8.91343i | 0.256599 | + | 0.364497i | ||||
\(599\) | −10.1152 | − | 10.1152i | −0.413294 | − | 0.413294i | 0.469590 | − | 0.882884i | \(-0.344402\pi\) |
−0.882884 | + | 0.469590i | \(0.844402\pi\) | |||||||
\(600\) | 12.8867 | − | 22.7164i | 0.526098 | − | 0.927391i | ||||
\(601\) | −14.1844 | + | 14.1844i | −0.578595 | + | 0.578595i | −0.934516 | − | 0.355921i | \(-0.884167\pi\) |
0.355921 | + | 0.934516i | \(0.384167\pi\) | |||||||
\(602\) | −3.18354 | + | 19.2950i | −0.129752 | + | 0.786406i | ||||
\(603\) | −2.43981 | + | 5.89021i | −0.0993566 | + | 0.239868i | ||||
\(604\) | −5.19423 | + | 14.4986i | −0.211350 | + | 0.589938i | ||||
\(605\) | −24.2562 | + | 10.0473i | −0.986157 | + | 0.408480i | ||||
\(606\) | −7.30456 | + | 11.5300i | −0.296728 | + | 0.468376i | ||||
\(607\) | −6.89169 | −0.279725 | −0.139862 | − | 0.990171i | \(-0.544666\pi\) | ||||
−0.139862 | + | 0.990171i | \(0.544666\pi\) | |||||||
\(608\) | 23.1765 | + | 26.9226i | 0.939933 | + | 1.09186i | ||||
\(609\) | 0.154585 | + | 18.2148i | 0.00626409 | + | 0.738102i | ||||
\(610\) | −33.0469 | − | 20.9360i | −1.33803 | − | 0.847674i | ||||
\(611\) | 2.23968 | − | 0.927708i | 0.0906079 | − | 0.0375310i | ||||
\(612\) | 3.84529 | + | 1.37761i | 0.155437 | + | 0.0556865i | ||||
\(613\) | 43.5449 | + | 18.0369i | 1.75876 | + | 0.728503i | 0.996716 | + | 0.0809816i | \(0.0258055\pi\) |
0.762047 | + | 0.647522i | \(0.224194\pi\) | |||||||
\(614\) | 0.405224 | − | 2.33259i | 0.0163535 | − | 0.0941355i | ||||
\(615\) | 43.7902 | + | 43.7902i | 1.76579 | + | 1.76579i | ||||
\(616\) | 12.4540 | − | 3.55244i | 0.501786 | − | 0.143132i | ||||
\(617\) | 25.0243 | − | 25.0243i | 1.00744 | − | 1.00744i | 0.00747002 | − | 0.999972i | \(-0.497622\pi\) |
0.999972 | − | 0.00747002i | \(-0.00237780\pi\) | |||||||
\(618\) | −17.0656 | − | 24.2417i | −0.686481 | − | 0.975143i | ||||
\(619\) | −3.37384 | + | 8.14516i | −0.135606 | + | 0.327382i | −0.977066 | − | 0.212938i | \(-0.931697\pi\) |
0.841460 | + | 0.540320i | \(0.181697\pi\) | |||||||
\(620\) | −10.5338 | + | 0.513257i | −0.423049 | + | 0.0206129i | ||||
\(621\) | 8.29369 | + | 20.0227i | 0.332814 | + | 0.803485i | ||||
\(622\) | 4.96503 | + | 22.1311i | 0.199080 | + | 0.887374i | ||||
\(623\) | −0.281122 | − | 33.1248i | −0.0112629 | − | 1.32712i | ||||
\(624\) | 1.21945 | + | 12.4840i | 0.0488172 | + | 0.499761i | ||||
\(625\) | − | 20.6409i | − | 0.825635i | ||||||
\(626\) | −8.57951 | − | 38.2422i | −0.342906 | − | 1.52846i | ||||
\(627\) | −6.67056 | − | 16.1042i | −0.266397 | − | 0.643138i | ||||
\(628\) | −28.7395 | − | 26.0689i | −1.14683 | − | 1.04026i | ||||
\(629\) | 25.3785 | + | 10.5121i | 1.01191 | + | 0.419146i | ||||
\(630\) | 4.26494 | − | 3.05689i | 0.169919 | − | 0.121789i | ||||
\(631\) | −19.0156 | − | 19.0156i | −0.756997 | − | 0.756997i | 0.218777 | − | 0.975775i | \(-0.429793\pi\) |
−0.975775 | + | 0.218777i | \(0.929793\pi\) | |||||||
\(632\) | 1.79390 | + | 0.222353i | 0.0713575 | + | 0.00884472i | ||||
\(633\) | 7.79831 | − | 7.79831i | 0.309955 | − | 0.309955i | ||||
\(634\) | 43.0040 | + | 7.47080i | 1.70791 | + | 0.296703i | ||||
\(635\) | 0.918042 | + | 0.380266i | 0.0364314 | + | 0.0150904i | ||||
\(636\) | 10.7445 | + | 22.7409i | 0.426046 | + | 0.901734i | ||||
\(637\) | −12.5537 | + | 5.45135i | −0.497397 | + | 0.215990i | ||||
\(638\) | −8.87491 | − | 5.62247i | −0.351361 | − | 0.222596i | ||||
\(639\) | − | 4.15332i | − | 0.164303i | ||||||
\(640\) | 13.3059 | + | 34.6391i | 0.525963 | + | 1.36923i | ||||
\(641\) | 28.8306 | 1.13874 | 0.569371 | − | 0.822081i | \(-0.307187\pi\) | ||||
0.569371 | + | 0.822081i | \(0.307187\pi\) | |||||||
\(642\) | 13.2048 | + | 8.36557i | 0.521153 | + | 0.330163i | ||||
\(643\) | −0.739631 | − | 1.78563i | −0.0291682 | − | 0.0704183i | 0.908624 | − | 0.417615i | \(-0.137134\pi\) |
−0.937792 | + | 0.347196i | \(0.887134\pi\) | |||||||
\(644\) | −9.07127 | − | 18.7851i | −0.357458 | − | 0.740237i | ||||
\(645\) | 25.4008 | + | 10.5214i | 1.00016 | + | 0.414278i | ||||
\(646\) | −7.26046 | + | 41.7933i | −0.285659 | + | 1.64434i | ||||
\(647\) | 10.8256 | + | 10.8256i | 0.425598 | + | 0.425598i | 0.887126 | − | 0.461528i | \(-0.152699\pi\) |
−0.461528 | + | 0.887126i | \(0.652699\pi\) | |||||||
\(648\) | −2.62137 | + | 21.1487i | −0.102977 | + | 0.830799i | ||||
\(649\) | 2.73161 | + | 2.73161i | 0.107225 | + | 0.107225i | ||||
\(650\) | −9.16356 | − | 13.0168i | −0.359424 | − | 0.510561i | ||||
\(651\) | 6.32507 | + | 2.55726i | 0.247899 | + | 0.100227i | ||||
\(652\) | 26.2596 | + | 23.8196i | 1.02841 | + | 0.932846i | ||||
\(653\) | 14.9238 | − | 6.18163i | 0.584012 | − | 0.241906i | −0.0710601 | − | 0.997472i | \(-0.522638\pi\) |
0.655072 | + | 0.755566i | \(0.272638\pi\) | |||||||
\(654\) | −10.3405 | + | 2.31986i | −0.404346 | + | 0.0907138i | ||||
\(655\) | 56.5226 | 2.20852 | ||||||||
\(656\) | −46.8673 | + | 4.57805i | −1.82986 | + | 0.178743i | ||||
\(657\) | −5.79688 | −0.226158 | ||||||||
\(658\) | −4.51796 | + | 1.05394i | −0.176129 | + | 0.0410869i | ||||
\(659\) | −5.97423 | − | 14.4231i | −0.232723 | − | 0.561843i | 0.763773 | − | 0.645485i | \(-0.223345\pi\) |
−0.996496 | + | 0.0836420i | \(0.973345\pi\) | |||||||
\(660\) | −0.886102 | − | 18.1859i | −0.0344915 | − | 0.707886i | ||||
\(661\) | −18.7651 | − | 7.77277i | −0.729879 | − | 0.302326i | −0.0133764 | − | 0.999911i | \(-0.504258\pi\) |
−0.716502 | + | 0.697585i | \(0.754258\pi\) | |||||||
\(662\) | −16.9241 | + | 11.9142i | −0.657775 | + | 0.463060i | ||||
\(663\) | −10.5910 | + | 10.5910i | −0.411322 | + | 0.411322i | ||||
\(664\) | −18.4032 | + | 5.08094i | −0.714184 | + | 0.197179i | ||||
\(665\) | 38.8587 | + | 38.2047i | 1.50688 | + | 1.48152i | ||||
\(666\) | 0.595243 | − | 3.42639i | 0.0230652 | − | 0.132770i | ||||
\(667\) | −6.47606 | + | 15.6346i | −0.250754 | + | 0.605373i | ||||
\(668\) | −16.2838 | + | 45.4525i | −0.630038 | + | 1.75861i | ||||
\(669\) | 10.4021 | + | 25.1129i | 0.402169 | + | 0.970922i | ||||
\(670\) | −58.4228 | − | 37.0122i | −2.25707 | − | 1.42991i | ||||
\(671\) | −14.5963 | −0.563483 | ||||||||
\(672\) | 1.58669 | − | 23.9521i | 0.0612080 | − | 0.923972i | ||||
\(673\) | 29.2001 | 1.12558 | 0.562791 | − | 0.826599i | \(-0.309728\pi\) | ||||
0.562791 | + | 0.826599i | \(0.309728\pi\) | |||||||
\(674\) | −7.61305 | − | 4.82305i | −0.293244 | − | 0.185777i | ||||
\(675\) | −12.1118 | − | 29.2404i | −0.466182 | − | 1.12546i | ||||
\(676\) | −17.2791 | − | 6.19040i | −0.664582 | − | 0.238092i | ||||
\(677\) | −17.8289 | + | 43.0428i | −0.685220 | + | 1.65427i | 0.0689758 | + | 0.997618i | \(0.478027\pi\) |
−0.754196 | + | 0.656649i | \(0.771973\pi\) | |||||||
\(678\) | 4.11748 | − | 23.7014i | 0.158131 | − | 0.910246i | ||||
\(679\) | −13.2145 | − | 12.9921i | −0.507125 | − | 0.498590i | ||||
\(680\) | −21.8630 | + | 38.5394i | −0.838407 | + | 1.47792i | ||||
\(681\) | −12.3813 | + | 12.3813i | −0.474454 | + | 0.474454i | ||||
\(682\) | −3.21760 | + | 2.26513i | −0.123208 | + | 0.0867362i | ||||
\(683\) | −0.681103 | − | 0.282122i | −0.0260617 | − | 0.0107951i | 0.369615 | − | 0.929185i | \(-0.379490\pi\) |
−0.395676 | + | 0.918390i | \(0.629490\pi\) | |||||||
\(684\) | 5.36402 | − | 0.261360i | 0.205098 | − | 0.00999333i | ||||
\(685\) | −2.42345 | − | 5.85072i | −0.0925951 | − | 0.223544i | ||||
\(686\) | 25.4021 | − | 6.38221i | 0.969857 | − | 0.243674i | ||||
\(687\) | 17.7223 | 0.676149 | ||||||||
\(688\) | −18.4454 | + | 9.84027i | −0.703226 | + | 0.375157i | ||||
\(689\) | 15.3302 | 0.584034 | ||||||||
\(690\) | −28.6168 | + | 6.42008i | −1.08942 | + | 0.244408i | ||||
\(691\) | 31.5866 | − | 13.0836i | 1.20161 | − | 0.497723i | 0.310091 | − | 0.950707i | \(-0.399641\pi\) |
0.891519 | + | 0.452984i | \(0.149641\pi\) | |||||||
\(692\) | 4.32723 | − | 4.77051i | 0.164496 | − | 0.181348i | ||||
\(693\) | 0.733850 | − | 1.81509i | 0.0278767 | − | 0.0689495i | ||||
\(694\) | −14.2075 | − | 20.1817i | −0.539308 | − | 0.766086i | ||||
\(695\) | 34.9731 | + | 34.9731i | 1.32661 | + | 1.32661i | ||||
\(696\) | −15.3588 | + | 11.9713i | −0.582175 | + | 0.453770i | ||||
\(697\) | −39.7607 | − | 39.7607i | −1.50605 | − | 1.50605i | ||||
\(698\) | 0.685557 | − | 3.94626i | 0.0259487 | − | 0.149368i | ||||
\(699\) | −19.6200 | − | 8.12687i | −0.742096 | − | 0.307386i | ||||
\(700\) | 13.2473 | + | 27.4330i | 0.500701 | + | 1.03687i | ||||
\(701\) | −4.63982 | − | 11.2015i | −0.175244 | − | 0.423076i | 0.811714 | − | 0.584055i | \(-0.198535\pi\) |
−0.986958 | + | 0.160979i | \(0.948535\pi\) | |||||||
\(702\) | 12.8406 | + | 8.13485i | 0.484638 | + | 0.307030i | ||||
\(703\) | 36.1165 | 1.36216 | ||||||||
\(704\) | 11.1104 | + | 8.26080i | 0.418740 | + | 0.311341i | ||||
\(705\) | 6.52236i | 0.245646i | ||||||||
\(706\) | −4.94119 | − | 3.13036i | −0.185964 | − | 0.117813i | ||||
\(707\) | −6.21729 | − | 14.6568i | −0.233825 | − | 0.551225i | ||||
\(708\) | 6.47410 | − | 3.05884i | 0.243312 | − | 0.114958i | ||||
\(709\) | 16.1598 | + | 6.69359i | 0.606892 | + | 0.251383i | 0.664899 | − | 0.746933i | \(-0.268475\pi\) |
−0.0580069 | + | 0.998316i | \(0.518475\pi\) | |||||||
\(710\) | 44.3893 | + | 7.71146i | 1.66590 | + | 0.289406i | ||||
\(711\) | 0.193229 | − | 0.193229i | 0.00724666 | − | 0.00724666i | ||||
\(712\) | 27.9310 | − | 21.7705i | 1.04676 | − | 0.815884i | ||||
\(713\) | 4.48185 | + | 4.48185i | 0.167846 | + | 0.167846i | ||||
\(714\) | 23.2974 | − | 16.6984i | 0.871883 | − | 0.624921i | ||||
\(715\) | −10.2530 | − | 4.24694i | −0.383441 | − | 0.158827i | ||||
\(716\) | −17.1306 | + | 18.8855i | −0.640201 | + | 0.705784i | ||||
\(717\) | −8.48323 | − | 20.4803i | −0.316812 | − | 0.764851i | ||||
\(718\) | 1.70268 | + | 7.58948i | 0.0635433 | + | 0.283237i | ||||
\(719\) | − | 45.3401i | − | 1.69090i | −0.534053 | − | 0.845451i | \(-0.679332\pi\) | ||
0.534053 | − | 0.845451i | \(-0.320668\pi\) | |||||||
\(720\) | 5.36675 | + | 1.63269i | 0.200007 | + | 0.0608468i | ||||
\(721\) | 34.5793 | − | 0.293466i | 1.28780 | − | 0.0109293i | ||||
\(722\) | 6.32682 | + | 28.2011i | 0.235460 | + | 1.04954i | ||||
\(723\) | 5.76933 | + | 13.9284i | 0.214564 | + | 0.518003i | ||||
\(724\) | 1.10549 | + | 22.6886i | 0.0410853 | + | 0.843215i | ||||
\(725\) | 9.45736 | − | 22.8321i | 0.351238 | − | 0.847963i | ||||
\(726\) | 10.4520 | + | 14.8470i | 0.387910 | + | 0.551024i | ||||
\(727\) | 4.13662 | − | 4.13662i | 0.153419 | − | 0.153419i | −0.626224 | − | 0.779643i | \(-0.715401\pi\) |
0.779643 | + | 0.626224i | \(0.215401\pi\) | |||||||
\(728\) | −12.7869 | − | 7.11110i | −0.473914 | − | 0.263555i | ||||
\(729\) | 20.9821 | + | 20.9821i | 0.777114 | + | 0.777114i | ||||
\(730\) | 10.7631 | − | 61.9552i | 0.398359 | − | 2.29307i | ||||
\(731\) | −23.0635 | − | 9.55322i | −0.853035 | − | 0.353339i | ||||
\(732\) | −9.12464 | + | 25.4694i | −0.337256 | + | 0.941377i | ||||
\(733\) | 46.4042 | − | 19.2212i | 1.71398 | − | 0.709953i | 0.714026 | − | 0.700119i | \(-0.246870\pi\) |
0.999952 | − | 0.00983409i | \(-0.00313034\pi\) | |||||||
\(734\) | 29.7918 | + | 18.8738i | 1.09964 | + | 0.696646i | ||||
\(735\) | −0.624968 | − | 36.8175i | −0.0230523 | − | 1.35804i | ||||
\(736\) | 10.0468 | − | 19.9097i | 0.370329 | − | 0.733882i | ||||
\(737\) | −25.8043 | −0.950515 | ||||||||
\(738\) | −3.80979 | + | 6.01364i | −0.140240 | + | 0.221365i | ||||
\(739\) | 0.364443 | − | 0.150957i | 0.0134062 | − | 0.00555305i | −0.375970 | − | 0.926632i | \(-0.622691\pi\) |
0.389376 | + | 0.921079i | \(0.372691\pi\) | |||||||
\(740\) | 35.5150 | + | 12.7235i | 1.30556 | + | 0.467726i | ||||
\(741\) | −7.53612 | + | 18.1938i | −0.276846 | + | 0.668366i | ||||
\(742\) | −28.9463 | − | 4.77594i | −1.06265 | − | 0.175330i | ||||
\(743\) | −18.7942 | + | 18.7942i | −0.689493 | + | 0.689493i | −0.962120 | − | 0.272627i | \(-0.912108\pi\) |
0.272627 | + | 0.962120i | \(0.412108\pi\) | |||||||
\(744\) | 1.94105 | + | 7.03050i | 0.0711622 | + | 0.257751i | ||||
\(745\) | 2.20719 | + | 2.20719i | 0.0808651 | + | 0.0808651i | ||||
\(746\) | 11.4300 | + | 16.2363i | 0.418482 | + | 0.594452i | ||||
\(747\) | −1.10450 | + | 2.66649i | −0.0404114 | + | 0.0975617i | ||||
\(748\) | 0.804566 | + | 16.5125i | 0.0294178 | + | 0.603757i | ||||
\(749\) | −16.7857 | + | 7.12036i | −0.613337 | + | 0.260172i | ||||
\(750\) | 5.49620 | − | 1.23306i | 0.200693 | − | 0.0450248i | ||||
\(751\) | 1.49198 | 0.0544430 | 0.0272215 | − | 0.999629i | \(-0.491334\pi\) | ||||
0.0272215 | + | 0.999629i | \(0.491334\pi\) | |||||||
\(752\) | −3.83128 | − | 3.14940i | −0.139713 | − | 0.114847i | ||||
\(753\) | 9.16195i | 0.333880i | ||||||||
\(754\) | 2.59824 | + | 11.5814i | 0.0946224 | + | 0.421768i | ||||
\(755\) | −23.3335 | + | 9.66507i | −0.849195 | + | 0.351748i | ||||
\(756\) | −21.7112 | − | 19.3605i | −0.789629 | − | 0.704134i | ||||
\(757\) | −3.06221 | + | 7.39282i | −0.111298 | + | 0.268697i | −0.969708 | − | 0.244267i | \(-0.921453\pi\) |
0.858410 | + | 0.512964i | \(0.171453\pi\) | |||||||
\(758\) | −2.47739 | − | 3.51912i | −0.0899828 | − | 0.127820i | ||||
\(759\) | −7.73759 | + | 7.73759i | −0.280857 | + | 0.280857i | ||||
\(760\) | −7.16603 | + | 57.8142i | −0.259939 | + | 2.09714i | ||||
\(761\) | 14.0599 | − | 14.0599i | 0.509671 | − | 0.509671i | −0.404755 | − | 0.914425i | \(-0.632643\pi\) |
0.914425 | + | 0.404755i | \(0.132643\pi\) | |||||||
\(762\) | 0.117621 | − | 0.677060i | 0.00426096 | − | 0.0245273i | ||||
\(763\) | 4.63343 | − | 11.4602i | 0.167741 | − | 0.414888i | ||||
\(764\) | 2.13898 | − | 1.01061i | 0.0773856 | − | 0.0365627i | ||||
\(765\) | 2.56336 | + | 6.18850i | 0.0926784 | + | 0.223746i | ||||
\(766\) | 2.62855 | − | 4.14908i | 0.0949732 | − | 0.149913i | ||||
\(767\) | − | 4.36435i | − | 0.157588i | ||||||
\(768\) | 21.3600 | − | 14.2228i | 0.770764 | − | 0.513220i | ||||
\(769\) | − | 3.81480i | − | 0.137565i | −0.997632 | − | 0.0687826i | \(-0.978089\pi\) | ||
0.997632 | − | 0.0687826i | \(-0.0219115\pi\) | |||||||
\(770\) | 18.0365 | + | 11.2132i | 0.649992 | + | 0.404097i | ||||
\(771\) | 3.39615 | − | 1.40673i | 0.122309 | − | 0.0506621i | ||||
\(772\) | −16.6174 | − | 35.1711i | −0.598074 | − | 1.26583i | ||||
\(773\) | −7.27672 | + | 17.5676i | −0.261726 | + | 0.631861i | −0.999045 | − | 0.0436824i | \(-0.986091\pi\) |
0.737320 | + | 0.675544i | \(0.236091\pi\) | |||||||
\(774\) | −0.540945 | + | 3.11383i | −0.0194439 | + | 0.111924i | ||||
\(775\) | −6.54510 | − | 6.54510i | −0.235107 | − | 0.235107i | ||||
\(776\) | 2.43691 | − | 19.6605i | 0.0874800 | − | 0.705772i | ||||
\(777\) | −17.4026 | − | 17.1097i | −0.624313 | − | 0.613806i | ||||
\(778\) | 1.61152 | − | 1.13448i | 0.0577759 | − | 0.0406731i | ||||
\(779\) | −68.3029 | − | 28.2920i | −2.44720 | − | 1.01367i | ||||
\(780\) | −13.8201 | + | 15.2359i | −0.494840 | + | 0.545532i | ||||
\(781\) | 15.5306 | − | 6.43298i | 0.555728 | − | 0.230190i | ||||
\(782\) | 25.9835 | − | 5.82932i | 0.929169 | − | 0.208456i | ||||
\(783\) | 23.5983i | 0.843334i | ||||||||
\(784\) | 21.9287 | + | 17.4107i | 0.783167 | + | 0.621811i | ||||
\(785\) | − | 63.6306i | − | 2.27107i | ||||||
\(786\) | −8.55688 | − | 38.1413i | −0.305214 | − | 1.36045i | ||||
\(787\) | −6.12696 | + | 2.53787i | −0.218402 | + | 0.0904652i | −0.489202 | − | 0.872171i | \(-0.662712\pi\) |
0.270800 | + | 0.962636i | \(0.412712\pi\) | |||||||
\(788\) | 1.70205 | + | 34.9320i | 0.0606330 | + | 1.24440i | ||||
\(789\) | −39.1616 | − | 16.2213i | −1.39419 | − | 0.577492i | ||||
\(790\) | 1.70641 | + | 2.42394i | 0.0607112 | + | 0.0862400i | ||||
\(791\) | 20.0094 | + | 19.6726i | 0.711451 | + | 0.699477i | ||||
\(792\) | 2.01752 | − | 0.557016i | 0.0716895 | − | 0.0197927i | ||||
\(793\) | 11.6604 | + | 11.6604i | 0.414072 | + | 0.414072i | ||||
\(794\) | −8.72324 | − | 1.51543i | −0.309576 | − | 0.0537805i | ||||
\(795\) | −15.7841 | + | 38.1062i | −0.559805 | + | 1.35149i | ||||
\(796\) | 1.31517 | − | 3.67101i | 0.0466149 | − | 0.130115i | ||||
\(797\) | 0.422942 | − | 0.175188i | 0.0149814 | − | 0.00620548i | −0.375180 | − | 0.926952i | \(-0.622419\pi\) |
0.390162 | + | 0.920746i | \(0.372419\pi\) | |||||||
\(798\) | 19.8977 | − | 32.0055i | 0.704370 | − | 1.13298i | ||||
\(799\) | − | 5.92219i | − | 0.209512i | ||||||
\(800\) | −14.6719 | + | 29.0753i | −0.518729 | + | 1.02797i | ||||
\(801\) | − | 5.35358i | − | 0.189159i | ||||||
\(802\) | −29.5996 | − | 18.7521i | −1.04520 | − | 0.662158i | ||||
\(803\) | −8.97866 | − | 21.6764i | −0.316850 | − | 0.764943i | ||||
\(804\) | −16.1312 | + | 45.0267i | −0.568904 | + | 1.58797i | ||||
\(805\) | 12.8227 | − | 31.7155i | 0.451942 | − | 1.11782i | ||||
\(806\) | 4.37993 | + | 0.760895i | 0.154276 | + | 0.0268014i | ||||
\(807\) | −9.90801 | + | 9.90801i | −0.348778 | + | 0.348778i | ||||
\(808\) | 8.39814 | − | 14.8040i | 0.295445 | − | 0.520803i | ||||
\(809\) | 15.7486 | − | 15.7486i | 0.553693 | − | 0.553693i | −0.373812 | − | 0.927505i | \(-0.621949\pi\) |
0.927505 | + | 0.373812i | \(0.121949\pi\) | |||||||
\(810\) | −28.5764 | + | 20.1172i | −1.00407 | + | 0.706846i | ||||
\(811\) | 12.7557 | − | 30.7950i | 0.447914 | − | 1.08136i | −0.525189 | − | 0.850986i | \(-0.676005\pi\) |
0.973102 | − | 0.230373i | \(-0.0739947\pi\) | |||||||
\(812\) | −1.29793 | − | 22.6772i | −0.0455485 | − | 0.795815i | ||||
\(813\) | −21.0199 | + | 8.70671i | −0.737199 | + | 0.305358i | ||||
\(814\) | 13.7343 | − | 3.08125i | 0.481387 | − | 0.107998i | ||||
\(815\) | 58.1402i | 2.03656i | ||||||||
\(816\) | 29.3161 | + | 8.91865i | 1.02627 | + | 0.312215i | ||||
\(817\) | −32.8219 | −1.14829 | ||||||||
\(818\) | 6.77329 | + | 30.1912i | 0.236823 | + | 1.05561i | ||||
\(819\) | −2.03624 | + | 0.863757i | −0.0711521 | + | 0.0301821i | ||||
\(820\) | −57.1983 | − | 51.8833i | −1.99745 | − | 1.81184i | ||||
\(821\) | 8.44383 | − | 20.3852i | 0.294692 | − | 0.711449i | −0.705305 | − | 0.708904i | \(-0.749190\pi\) |
0.999997 | − | 0.00254488i | \(-0.000810060\pi\) | |||||||
\(822\) | −3.58117 | + | 2.52107i | −0.124907 | + | 0.0879323i | ||||
\(823\) | −37.9308 | − | 37.9308i | −1.32219 | − | 1.32219i | −0.912003 | − | 0.410183i | \(-0.865465\pi\) |
−0.410183 | − | 0.912003i | \(-0.634535\pi\) | |||||||
\(824\) | 22.7265 | + | 29.1574i | 0.791713 | + | 1.01575i | ||||
\(825\) | 11.2997 | − | 11.2997i | 0.393404 | − | 0.393404i | ||||
\(826\) | −1.35966 | + | 8.24072i | −0.0473087 | + | 0.286731i | ||||
\(827\) | 3.43082 | − | 8.28273i | 0.119301 | − | 0.288019i | −0.852936 | − | 0.522015i | \(-0.825180\pi\) |
0.972237 | + | 0.233996i | \(0.0751804\pi\) | |||||||
\(828\) | −1.44021 | − | 3.04824i | −0.0500509 | − | 0.105934i | ||||
\(829\) | −3.76623 | + | 1.56002i | −0.130807 | + | 0.0541819i | −0.447127 | − | 0.894471i | \(-0.647553\pi\) |
0.316320 | + | 0.948653i | \(0.397553\pi\) | |||||||
\(830\) | −26.4479 | − | 16.7554i | −0.918019 | − | 0.581587i | ||||
\(831\) | 49.5440 | 1.71866 | ||||||||
\(832\) | −2.27645 | − | 15.4749i | −0.0789216 | − | 0.536495i | ||||
\(833\) | 0.567460 | + | 33.4297i | 0.0196613 | + | 1.15827i | ||||
\(834\) | 18.3052 | − | 28.8943i | 0.633858 | − | 1.00053i | ||||
\(835\) | −73.1500 | + | 30.2997i | −2.53146 | + | 1.04857i | ||||
\(836\) | 9.28551 | + | 19.6530i | 0.321146 | + | 0.679712i | ||||
\(837\) | 8.16576 | + | 3.38237i | 0.282250 | + | 0.116912i | ||||
\(838\) | 17.0804 | + | 2.96726i | 0.590033 | + | 0.102502i | ||||
\(839\) | 8.45468 | + | 8.45468i | 0.291888 | + | 0.291888i | 0.837826 | − | 0.545938i | \(-0.183826\pi\) |
−0.545938 | + | 0.837826i | \(0.683826\pi\) | |||||||
\(840\) | 30.8416 | − | 24.4627i | 1.06413 | − | 0.844043i | ||||
\(841\) | 7.47659 | − | 7.47659i | 0.257813 | − | 0.257813i | ||||
\(842\) | −2.66288 | + | 1.87461i | −0.0917687 | + | 0.0646033i | ||||
\(843\) | −4.07866 | + | 9.84676i | −0.140477 | + | 0.339140i | ||||
\(844\) | −9.23956 | + | 10.1861i | −0.318039 | + | 0.350619i | ||||
\(845\) | −11.5187 | − | 27.8085i | −0.396254 | − | 0.956643i | ||||
\(846\) | −0.731578 | + | 0.164127i | −0.0251522 | + | 0.00564281i | ||||
\(847\) | −21.1784 | + | 0.179736i | −0.727698 | + | 0.00617579i | ||||
\(848\) | −14.7623 | − | 27.6718i | −0.506941 | − | 0.950253i | ||||
\(849\) | − | 28.5417i | − | 0.979550i | ||||||
\(850\) | −37.9453 | + | 8.51290i | −1.30151 | + | 0.291990i | ||||
\(851\) | −8.67647 | − | 20.9469i | −0.297426 | − | 0.718049i | ||||
\(852\) | −1.51637 | − | 31.1212i | −0.0519500 | − | 1.06620i | ||||
\(853\) | −32.2063 | − | 13.3403i | −1.10272 | − | 0.456763i | −0.244297 | − | 0.969701i | \(-0.578557\pi\) |
−0.858426 | + | 0.512938i | \(0.828557\pi\) | |||||||
\(854\) | −18.3843 | − | 25.6496i | −0.629098 | − | 0.877712i | ||||
\(855\) | 6.22743 | + | 6.22743i | 0.212974 | + | 0.212974i | ||||
\(856\) | −16.9543 | − | 9.61799i | −0.579487 | − | 0.328736i | ||||
\(857\) | 2.42665 | − | 2.42665i | 0.0828927 | − | 0.0828927i | −0.664445 | − | 0.747337i | \(-0.731332\pi\) |
0.747337 | + | 0.664445i | \(0.231332\pi\) | |||||||
\(858\) | −1.31363 | + | 7.56165i | −0.0448467 | + | 0.258150i | ||||
\(859\) | 7.60633 | + | 3.15065i | 0.259525 | + | 0.107499i | 0.508652 | − | 0.860972i | \(-0.330144\pi\) |
−0.249128 | + | 0.968471i | \(0.580144\pi\) | |||||||
\(860\) | −32.2753 | − | 11.5629i | −1.10058 | − | 0.394292i | ||||
\(861\) | 19.5085 | + | 45.9899i | 0.664848 | + | 1.56733i | ||||
\(862\) | −2.48050 | + | 3.91540i | −0.0844862 | + | 0.133359i | ||||
\(863\) | − | 52.2609i | − | 1.77898i | −0.456953 | − | 0.889491i | \(-0.651059\pi\) | ||
0.456953 | − | 0.889491i | \(-0.348941\pi\) | |||||||
\(864\) | 2.31883 | − | 31.0115i | 0.0788882 | − | 1.05503i | ||||
\(865\) | 10.5621 | 0.359124 | ||||||||
\(866\) | 21.4106 | − | 33.7961i | 0.727563 | − | 1.14844i | ||||
\(867\) | 3.56826 | + | 8.61453i | 0.121184 | + | 0.292565i | ||||
\(868\) | −8.03309 | − | 2.80123i | −0.272661 | − | 0.0950799i | ||||
\(869\) | 1.02183 | + | 0.423258i | 0.0346634 | + | 0.0143580i | ||||
\(870\) | −31.4629 | − | 5.46584i | −1.06669 | − | 0.185309i | ||||
\(871\) | 20.6140 | + | 20.6140i | 0.698480 | + | 0.698480i | ||||
\(872\) | 12.7384 | − | 3.51693i | 0.431375 | − | 0.119098i | ||||
\(873\) | −2.11773 | − | 2.11773i | −0.0716742 | − | 0.0716742i | ||||
\(874\) | 28.6292 | − | 20.1544i | 0.968398 | − | 0.681732i | ||||
\(875\) | −2.46276 | + | 6.09135i | −0.0832566 | + | 0.205925i | ||||
\(876\) | −43.4366 | + | 2.11643i | −1.46759 | + | 0.0715076i | ||||
\(877\) | −19.3092 | + | 7.99814i | −0.652026 | + | 0.270078i | −0.684079 | − | 0.729408i | \(-0.739796\pi\) |
0.0320527 | + | 0.999486i | \(0.489796\pi\) | |||||||
\(878\) | 1.97375 | + | 8.79778i | 0.0666109 | + | 0.296911i | ||||
\(879\) | 41.5802 | 1.40246 | ||||||||
\(880\) | 2.20729 | + | 22.5968i | 0.0744076 | + | 0.761740i | ||||
\(881\) | 31.8035 | 1.07149 | 0.535744 | − | 0.844381i | \(-0.320031\pi\) | ||||
0.535744 | + | 0.844381i | \(0.320031\pi\) | |||||||
\(882\) | 4.11390 | − | 0.996568i | 0.138522 | − | 0.0335562i | ||||
\(883\) | 4.27730 | + | 10.3263i | 0.143943 | + | 0.347508i | 0.979365 | − | 0.202101i | \(-0.0647768\pi\) |
−0.835422 | + | 0.549609i | \(0.814777\pi\) | |||||||
\(884\) | 12.5484 | − | 13.8339i | 0.422050 | − | 0.465285i | ||||
\(885\) | 10.8485 | + | 4.49358i | 0.364667 | + | 0.151050i | ||||
\(886\) | 23.0130 | + | 32.6898i | 0.773136 | + | 1.09824i | ||||
\(887\) | −33.5395 | + | 33.5395i | −1.12615 | + | 1.12615i | −0.135349 | + | 0.990798i | \(0.543216\pi\) |
−0.990798 | + | 0.135349i | \(0.956784\pi\) | |||||||
\(888\) | 3.20925 | − | 25.8916i | 0.107695 | − | 0.868865i | ||||
\(889\) | 0.571593 | + | 0.561973i | 0.0191706 | + | 0.0188480i | ||||
\(890\) | 57.2173 | + | 9.93998i | 1.91793 | + | 0.333189i | ||||
\(891\) | −4.98988 | + | 12.0466i | −0.167167 | + | 0.403577i | ||||
\(892\) | −14.4799 | − | 30.6470i | −0.484822 | − | 1.02614i | ||||
\(893\) | −2.97972 | − | 7.19369i | −0.0997126 | − | 0.240728i | ||||
\(894\) | 1.15526 | − | 1.82355i | 0.0386377 | − | 0.0609886i | ||||
\(895\) | −41.8134 | −1.39767 | ||||||||
\(896\) | −0.522658 | + | 29.9287i | −0.0174608 | + | 0.999848i | ||||
\(897\) | 12.3625 | 0.412772 | ||||||||
\(898\) | 5.04725 | − | 7.96694i | 0.168429 | − | 0.265860i | ||||
\(899\) | 2.64109 | + | 6.37616i | 0.0880854 | + | 0.212657i | ||||
\(900\) | 2.10323 | + | 4.45152i | 0.0701075 | + | 0.148384i | ||||
\(901\) | 14.3317 | − | 34.5998i | 0.477458 | − | 1.15269i | ||||
\(902\) | −28.3878 | − | 4.93162i | −0.945211 | − | 0.164205i | ||||
\(903\) | 15.8151 | + | 15.5489i | 0.526294 | + | 0.517436i | ||||
\(904\) | −3.68997 | + | 29.7700i | −0.122727 | + | 0.990136i | ||||
\(905\) | −26.3407 | + | 26.3407i | −0.875593 | + | 0.875593i | ||||
\(906\) | 10.0544 | + | 14.2822i | 0.334035 | + | 0.474495i | ||||
\(907\) | −31.2068 | − | 12.9263i | −1.03620 | − | 0.429210i | −0.201256 | − | 0.979539i | \(-0.564502\pi\) |
−0.834948 | + | 0.550329i | \(0.814502\pi\) | |||||||
\(908\) | 14.6696 | − | 16.1724i | 0.486828 | − | 0.536699i | ||||
\(909\) | −0.984652 | − | 2.37716i | −0.0326589 | − | 0.0788455i | ||||
\(910\) | −5.45087 | − | 23.3665i | −0.180695 | − | 0.774590i | ||||
\(911\) | −33.7980 | −1.11978 | −0.559889 | − | 0.828568i | \(-0.689156\pi\) | ||||
−0.559889 | + | 0.828568i | \(0.689156\pi\) | |||||||
\(912\) | 40.0977 | − | 3.91679i | 1.32777 | − | 0.129698i | ||||
\(913\) | −11.6816 | −0.386604 | ||||||||
\(914\) | −12.5626 | − | 55.9963i | −0.415533 | − | 1.85219i | ||||
\(915\) | −40.9898 | + | 16.9785i | −1.35508 | + | 0.561292i | ||||
\(916\) | −22.0732 | + | 1.07551i | −0.729320 | + | 0.0355358i | ||||
\(917\) | 42.2713 | + | 17.0905i | 1.39592 | + | 0.564379i | ||||
\(918\) | 30.3644 | − | 21.3759i | 1.00218 | − | 0.705511i | ||||
\(919\) | 22.2407 | + | 22.2407i | 0.733655 | + | 0.733655i | 0.971342 | − | 0.237687i | \(-0.0763893\pi\) |
−0.237687 | + | 0.971342i | \(0.576389\pi\) | |||||||
\(920\) | 35.2527 | − | 9.73288i | 1.16225 | − | 0.320884i | ||||
\(921\) | −1.89861 | − | 1.89861i | −0.0625612 | − | 0.0625612i | ||||
\(922\) | −18.2576 | − | 3.17178i | −0.601284 | − | 0.104457i | ||||
\(923\) | −17.5458 | − | 7.26770i | −0.577527 | − | 0.239219i | ||||
\(924\) | 4.83613 | − | 13.8686i | 0.159097 | − | 0.456242i | ||||
\(925\) | 12.6708 | + | 30.5899i | 0.416612 | + | 1.00579i | ||||
\(926\) | −4.64011 | + | 7.32429i | −0.152484 | + | 0.240691i | ||||
\(927\) | 5.58865 | 0.183555 | ||||||||
\(928\) | 18.4030 | − | 15.8423i | 0.604107 | − | 0.520050i | ||||
\(929\) | − | 24.6615i | − | 0.809119i | −0.914512 | − | 0.404559i | \(-0.867425\pi\) | ||
0.914512 | − | 0.404559i | \(-0.132575\pi\) | |||||||
\(930\) | −6.40098 | + | 10.1038i | −0.209896 | + | 0.331315i | ||||
\(931\) | 17.5093 | + | 40.3216i | 0.573844 | + | 1.32149i | ||||
\(932\) | 24.9299 | + | 8.93136i | 0.816608 | + | 0.292557i | ||||
\(933\) | 23.7649 | + | 9.84374i | 0.778028 | + | 0.322270i | ||||
\(934\) | 5.27365 | − | 30.3566i | 0.172559 | − | 0.993300i | ||||
\(935\) | −19.1704 | + | 19.1704i | −0.626940 | + | 0.626940i | ||||
\(936\) | −2.05669 | − | 1.16674i | −0.0672251 | − | 0.0381360i | ||||
\(937\) | −1.36372 | − | 1.36372i | −0.0445508 | − | 0.0445508i | 0.684480 | − | 0.729031i | \(-0.260029\pi\) |
−0.729031 | + | 0.684480i | \(0.760029\pi\) | |||||||
\(938\) | −32.5011 | − | 45.3453i | −1.06120 | − | 1.48058i | ||||
\(939\) | −41.0654 | − | 17.0099i | −1.34012 | − | 0.555096i | ||||
\(940\) | −0.395820 | − | 8.12361i | −0.0129102 | − | 0.264963i | ||||
\(941\) | 10.2224 | + | 24.6791i | 0.333241 | + | 0.804516i | 0.998331 | + | 0.0577523i | \(0.0183934\pi\) |
−0.665090 | + | 0.746764i | \(0.731607\pi\) | |||||||
\(942\) | −42.9378 | + | 9.63295i | −1.39899 | + | 0.313858i | ||||
\(943\) | 46.4111i | 1.51135i | ||||||||
\(944\) | −7.87788 | + | 4.20269i | −0.256403 | + | 0.136786i | ||||
\(945\) | −0.404839 | − | 47.7025i | −0.0131694 | − | 1.55176i | ||||
\(946\) | −12.4815 | + | 2.80018i | −0.405808 | + | 0.0910417i | ||||
\(947\) | 2.83919 | + | 6.85442i | 0.0922614 | + | 0.222739i | 0.963273 | − | 0.268523i | \(-0.0865357\pi\) |
−0.871012 | + | 0.491262i | \(0.836536\pi\) | |||||||
\(948\) | 1.37734 | − | 1.51843i | 0.0447339 | − | 0.0493165i | ||||
\(949\) | −10.1437 | + | 24.4891i | −0.329279 | + | 0.794949i | ||||
\(950\) | −41.8089 | + | 29.4326i | −1.35646 | + | 0.954921i | ||||
\(951\) | 35.0031 | − | 35.0031i | 1.13505 | − | 1.13505i | ||||
\(952\) | −28.0036 | + | 22.2117i | −0.907602 | + | 0.719886i | ||||
\(953\) | −8.16976 | − | 8.16976i | −0.264644 | − | 0.264644i | 0.562293 | − | 0.826938i | \(-0.309919\pi\) |
−0.826938 | + | 0.562293i | \(0.809919\pi\) | |||||||
\(954\) | −4.67136 | − | 0.811523i | −0.151241 | − | 0.0262740i | ||||
\(955\) | 3.58423 | + | 1.48464i | 0.115983 | + | 0.0480417i | ||||
\(956\) | 11.8088 | + | 24.9935i | 0.381923 | + | 0.808347i | ||||
\(957\) | −11.0080 | + | 4.55966i | −0.355838 | + | 0.147393i | ||||
\(958\) | −10.4044 | + | 16.4231i | −0.336152 | + | 0.530607i | ||||
\(959\) | −0.0433531 | − | 5.10832i | −0.00139994 | − | 0.164956i | ||||
\(960\) | 40.8097 | + | 10.2745i | 1.31713 | + | 0.331609i | ||||
\(961\) | −28.4151 | −0.916616 | ||||||||
\(962\) | −13.4333 | − | 8.51030i | −0.433106 | − | 0.274383i | ||||
\(963\) | −2.72245 | + | 1.12768i | −0.0877297 | + | 0.0363388i | ||||
\(964\) | −8.03099 | − | 16.9977i | −0.258661 | − | 0.547461i | ||||
\(965\) | 24.4117 | − | 58.9351i | 0.785841 | − | 1.89719i | ||||
\(966\) | −23.3427 | − | 3.85139i | −0.751040 | − | 0.123916i | ||||
\(967\) | 0.699363 | − | 0.699363i | 0.0224900 | − | 0.0224900i | −0.695772 | − | 0.718262i | \(-0.744938\pi\) |
0.718262 | + | 0.695772i | \(0.244938\pi\) | |||||||
\(968\) | −13.9190 | − | 17.8577i | −0.447373 | − | 0.573968i | ||||
\(969\) | 34.0176 | + | 34.0176i | 1.09280 | + | 1.09280i | ||||
\(970\) | 26.5656 | − | 18.7016i | 0.852970 | − | 0.600473i | ||||
\(971\) | −19.9253 | + | 48.1040i | −0.639434 | + | 1.54373i | 0.188000 | + | 0.982169i | \(0.439799\pi\) |
−0.827435 | + | 0.561562i | \(0.810201\pi\) | |||||||
\(972\) | −6.52986 | − | 5.92309i | −0.209445 | − | 0.189983i | ||||
\(973\) | 15.5805 | + | 36.7299i | 0.499488 | + | 1.17751i | ||||
\(974\) | 0.00483366 | + | 0.0215455i | 0.000154880 | + | 0.000690362i | ||||
\(975\) | −18.0537 | −0.578180 | ||||||||
\(976\) | 9.81911 | − | 32.2760i | 0.314302 | − | 1.03313i | ||||
\(977\) | 6.67512i | 0.213556i | 0.994283 | + | 0.106778i | \(0.0340534\pi\) | ||||
−0.994283 | + | 0.106778i | \(0.965947\pi\) | |||||||
\(978\) | 39.2328 | − | 8.80175i | 1.25453 | − | 0.281449i | ||||
\(979\) | 20.0187 | − | 8.29203i | 0.639801 | − | 0.265014i | ||||
\(980\) | 3.01273 | + | 45.8184i | 0.0962382 | + | 1.46362i | ||||
\(981\) | 0.764511 | − | 1.84569i | 0.0244090 | − | 0.0589284i | ||||
\(982\) | −27.0516 | + | 19.0438i | −0.863253 | + | 0.607712i | ||||
\(983\) | 32.2886 | − | 32.2886i | 1.02985 | − | 1.02985i | 0.0303057 | − | 0.999541i | \(-0.490352\pi\) |
0.999541 | − | 0.0303057i | \(-0.00964809\pi\) | |||||||
\(984\) | −26.3515 | + | 46.4518i | −0.840057 | + | 1.48083i | ||||
\(985\) | −40.5548 | + | 40.5548i | −1.29218 | + | 1.29218i | ||||
\(986\) | 28.5678 | + | 4.96289i | 0.909785 | + | 0.158051i | ||||
\(987\) | −1.97214 | + | 4.87785i | −0.0627739 | + | 0.155264i | ||||
\(988\) | 8.28213 | − | 23.1178i | 0.263490 | − | 0.735474i | ||||
\(989\) | 7.88501 | + | 19.0361i | 0.250729 | + | 0.605313i | ||||
\(990\) | 2.89945 | + | 1.83687i | 0.0921505 | + | 0.0583795i | ||||
\(991\) | 28.5663i | 0.907439i | 0.891145 | + | 0.453719i | \(0.149903\pi\) | ||||
−0.891145 | + | 0.453719i | \(0.850097\pi\) | |||||||
\(992\) | −2.84424 | − | 8.63871i | −0.0903046 | − | 0.274279i | ||||
\(993\) | 23.4730i | 0.744892i | ||||||||
\(994\) | 30.8656 | + | 19.1890i | 0.978997 | + | 0.608638i | ||||
\(995\) | 5.90801 | − | 2.44718i | 0.187297 | − | 0.0775808i | ||||
\(996\) | −7.30257 | + | 20.3835i | −0.231391 | + | 0.645877i | ||||
\(997\) | −5.03583 | + | 12.1576i | −0.159486 | + | 0.385034i | −0.983342 | − | 0.181766i | \(-0.941819\pi\) |
0.823855 | + | 0.566800i | \(0.191819\pi\) | |||||||
\(998\) | −5.75141 | − | 0.999153i | −0.182058 | − | 0.0316276i | ||||
\(999\) | −22.3562 | − | 22.3562i | −0.707319 | − | 0.707319i |
(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 | 224.2.x.b.27.10 | yes | 112 | |
4.3 | odd | 2 | 896.2.x.b.783.8 | 112 | |||
7.6 | odd | 2 | inner | 224.2.x.b.27.9 | ✓ | 112 | |
28.27 | even | 2 | 896.2.x.b.783.21 | 112 | |||
32.13 | even | 8 | 896.2.x.b.111.21 | 112 | |||
32.19 | odd | 8 | inner | 224.2.x.b.83.9 | yes | 112 | |
224.13 | odd | 8 | 896.2.x.b.111.8 | 112 | |||
224.83 | even | 8 | inner | 224.2.x.b.83.10 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.x.b.27.9 | ✓ | 112 | 7.6 | odd | 2 | inner | |
224.2.x.b.27.10 | yes | 112 | 1.1 | even | 1 | trivial | |
224.2.x.b.83.9 | yes | 112 | 32.19 | odd | 8 | inner | |
224.2.x.b.83.10 | yes | 112 | 224.83 | even | 8 | inner | |
896.2.x.b.111.8 | 112 | 224.13 | odd | 8 | |||
896.2.x.b.111.21 | 112 | 32.13 | even | 8 | |||
896.2.x.b.783.8 | 112 | 4.3 | odd | 2 | |||
896.2.x.b.783.21 | 112 | 28.27 | even | 2 |