Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 179.26 | ||
Character | \(\chi\) | \(=\) | 300.179 |
Dual form | 300.2.r.a.119.26 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.214717 | + | 1.39782i | −0.151828 | + | 0.988407i | ||||
\(3\) | 1.29122 | − | 1.15445i | 0.745486 | − | 0.666521i | ||||
\(4\) | −1.90779 | − | 0.600272i | −0.953896 | − | 0.300136i | ||||
\(5\) | −1.52172 | − | 1.63840i | −0.680535 | − | 0.732716i | ||||
\(6\) | 1.33646 | + | 2.05277i | 0.545609 | + | 0.838040i | ||||
\(7\) | −4.80140 | −1.81476 | −0.907379 | − | 0.420314i | \(-0.861920\pi\) | ||||
−0.907379 | + | 0.420314i | \(0.861920\pi\) | |||||||
\(8\) | 1.24871 | − | 2.53786i | 0.441485 | − | 0.897269i | ||||
\(9\) | 0.334495 | − | 2.98129i | 0.111498 | − | 0.993765i | ||||
\(10\) | 2.61693 | − | 1.77530i | 0.827546 | − | 0.561398i | ||||
\(11\) | 0.174380 | − | 0.536687i | 0.0525776 | − | 0.161817i | −0.921320 | − | 0.388805i | \(-0.872888\pi\) |
0.973898 | + | 0.226988i | \(0.0728879\pi\) | |||||||
\(12\) | −3.15636 | + | 1.42737i | −0.911163 | + | 0.412045i | ||||
\(13\) | −2.55432 | + | 0.829949i | −0.708441 | + | 0.230186i | −0.641004 | − | 0.767537i | \(-0.721482\pi\) |
−0.0674364 | + | 0.997724i | \(0.521482\pi\) | |||||||
\(14\) | 1.03094 | − | 6.71148i | 0.275531 | − | 1.79372i | ||||
\(15\) | −3.85633 | − | 0.358786i | −0.995700 | − | 0.0926383i | ||||
\(16\) | 3.27935 | + | 2.29039i | 0.819837 | + | 0.572597i | ||||
\(17\) | 4.80378 | − | 3.49015i | 1.16509 | − | 0.846486i | 0.174676 | − | 0.984626i | \(-0.444112\pi\) |
0.990413 | + | 0.138140i | \(0.0441123\pi\) | |||||||
\(18\) | 4.09549 | + | 1.10770i | 0.965315 | + | 0.261087i | ||||
\(19\) | −1.75617 | − | 2.41717i | −0.402894 | − | 0.554536i | 0.558573 | − | 0.829455i | \(-0.311349\pi\) |
−0.961467 | + | 0.274919i | \(0.911349\pi\) | |||||||
\(20\) | 1.91964 | + | 4.03918i | 0.429245 | + | 0.903188i | ||||
\(21\) | −6.19966 | + | 5.54297i | −1.35288 | + | 1.20957i | ||||
\(22\) | 0.712748 | + | 0.358988i | 0.151958 | + | 0.0765365i | ||||
\(23\) | −4.81746 | − | 1.56529i | −1.00451 | − | 0.326385i | −0.239844 | − | 0.970812i | \(-0.577096\pi\) |
−0.764666 | + | 0.644426i | \(0.777096\pi\) | |||||||
\(24\) | −1.31747 | − | 4.71850i | −0.268928 | − | 0.963160i | ||||
\(25\) | −0.368725 | + | 4.98639i | −0.0737450 | + | 0.997277i | ||||
\(26\) | −0.611661 | − | 3.74868i | −0.119957 | − | 0.735177i | ||||
\(27\) | −3.00985 | − | 4.23566i | −0.579245 | − | 0.815153i | ||||
\(28\) | 9.16007 | + | 2.88214i | 1.73109 | + | 0.544674i | ||||
\(29\) | 0.757556 | − | 1.04269i | 0.140675 | − | 0.193622i | −0.732866 | − | 0.680373i | \(-0.761818\pi\) |
0.873541 | + | 0.486751i | \(0.161818\pi\) | |||||||
\(30\) | 1.32954 | − | 5.31341i | 0.242740 | − | 0.970091i | ||||
\(31\) | 2.45339 | + | 3.37680i | 0.440642 | + | 0.606491i | 0.970355 | − | 0.241686i | \(-0.0777004\pi\) |
−0.529713 | + | 0.848177i | \(0.677700\pi\) | |||||||
\(32\) | −3.90568 | + | 4.09214i | −0.690434 | + | 0.723396i | ||||
\(33\) | −0.394415 | − | 0.894293i | −0.0686588 | − | 0.155677i | ||||
\(34\) | 3.84714 | + | 7.46421i | 0.659780 | + | 1.28010i | ||||
\(35\) | 7.30639 | + | 7.86662i | 1.23501 | + | 1.32970i | ||||
\(36\) | −2.42773 | + | 5.48690i | −0.404622 | + | 0.914484i | ||||
\(37\) | 6.24786 | − | 2.03005i | 1.02714 | − | 0.333739i | 0.253482 | − | 0.967340i | \(-0.418424\pi\) |
0.773660 | + | 0.633601i | \(0.218424\pi\) | |||||||
\(38\) | 3.75584 | − | 1.93580i | 0.609278 | − | 0.314029i | ||||
\(39\) | −2.34005 | + | 4.02048i | −0.374708 | + | 0.643792i | ||||
\(40\) | −6.05822 | + | 1.81603i | −0.957889 | + | 0.287139i | ||||
\(41\) | 3.94094 | − | 1.28049i | 0.615471 | − | 0.199979i | 0.0153426 | − | 0.999882i | \(-0.495116\pi\) |
0.600128 | + | 0.799904i | \(0.295116\pi\) | |||||||
\(42\) | −6.41689 | − | 9.85616i | −0.990147 | − | 1.52084i | ||||
\(43\) | −3.53799 | −0.539538 | −0.269769 | − | 0.962925i | \(-0.586947\pi\) | ||||
−0.269769 | + | 0.962925i | \(0.586947\pi\) | |||||||
\(44\) | −0.654839 | + | 0.919212i | −0.0987207 | + | 0.138576i | ||||
\(45\) | −5.39357 | + | 3.98866i | −0.804025 | + | 0.594595i | ||||
\(46\) | 3.22238 | − | 6.39784i | 0.475114 | − | 0.943310i | ||||
\(47\) | 1.34026 | − | 1.84472i | 0.195498 | − | 0.269079i | −0.700003 | − | 0.714140i | \(-0.746818\pi\) |
0.895500 | + | 0.445061i | \(0.146818\pi\) | |||||||
\(48\) | 6.87849 | − | 0.828443i | 0.992825 | − | 0.119576i | ||||
\(49\) | 16.0534 | 2.29334 | ||||||||
\(50\) | −6.89089 | − | 1.58607i | −0.974519 | − | 0.224305i | ||||
\(51\) | 2.17353 | − | 10.0523i | 0.304356 | − | 1.40760i | ||||
\(52\) | 5.37131 | − | 0.0500834i | 0.744866 | − | 0.00694532i | ||||
\(53\) | 0.695627 | + | 0.505402i | 0.0955517 | + | 0.0694224i | 0.634535 | − | 0.772894i | \(-0.281192\pi\) |
−0.538984 | + | 0.842316i | \(0.681192\pi\) | |||||||
\(54\) | 6.56695 | − | 3.29775i | 0.893649 | − | 0.448767i | ||||
\(55\) | −1.14467 | + | 0.530983i | −0.154347 | + | 0.0715978i | ||||
\(56\) | −5.99554 | + | 12.1853i | −0.801188 | + | 1.62832i | ||||
\(57\) | −5.05810 | − | 1.09368i | −0.669962 | − | 0.144861i | ||||
\(58\) | 1.29483 | + | 1.28281i | 0.170019 | + | 0.168441i | ||||
\(59\) | −0.743185 | − | 2.28729i | −0.0967544 | − | 0.297779i | 0.890953 | − | 0.454096i | \(-0.150038\pi\) |
−0.987707 | + | 0.156317i | \(0.950038\pi\) | |||||||
\(60\) | 7.14171 | + | 2.99934i | 0.921990 | + | 0.387213i | ||||
\(61\) | 1.58946 | − | 4.89184i | 0.203509 | − | 0.626337i | −0.796262 | − | 0.604952i | \(-0.793192\pi\) |
0.999771 | − | 0.0213849i | \(-0.00680755\pi\) | |||||||
\(62\) | −5.24694 | + | 2.70433i | −0.666362 | + | 0.343451i | ||||
\(63\) | −1.60604 | + | 14.3144i | −0.202342 | + | 1.80344i | ||||
\(64\) | −4.88146 | − | 6.33809i | −0.610182 | − | 0.792261i | ||||
\(65\) | 5.24675 | + | 2.92205i | 0.650780 | + | 0.362436i | ||||
\(66\) | 1.33475 | − | 0.359300i | 0.164296 | − | 0.0442267i | ||||
\(67\) | −8.92161 | + | 6.48193i | −1.08995 | + | 0.791893i | −0.979390 | − | 0.201976i | \(-0.935264\pi\) |
−0.110557 | + | 0.993870i | \(0.535264\pi\) | |||||||
\(68\) | −11.2597 | + | 3.77491i | −1.36543 | + | 0.457775i | ||||
\(69\) | −8.02744 | + | 3.54038i | −0.966391 | + | 0.426212i | ||||
\(70\) | −12.5649 | + | 8.52391i | −1.50179 | + | 1.01880i | ||||
\(71\) | 9.02225 | + | 6.55505i | 1.07074 | + | 0.777941i | 0.976046 | − | 0.217565i | \(-0.0698113\pi\) |
0.0946986 | + | 0.995506i | \(0.469811\pi\) | |||||||
\(72\) | −7.14842 | − | 4.57167i | −0.842449 | − | 0.538776i | ||||
\(73\) | −9.94608 | − | 3.23168i | −1.16410 | − | 0.378239i | −0.337663 | − | 0.941267i | \(-0.609636\pi\) |
−0.826438 | + | 0.563028i | \(0.809636\pi\) | |||||||
\(74\) | 1.49612 | + | 9.16926i | 0.173921 | + | 1.06591i | ||||
\(75\) | 5.28042 | + | 6.86419i | 0.609731 | + | 0.792609i | ||||
\(76\) | 1.89946 | + | 5.66563i | 0.217883 | + | 0.649893i | ||||
\(77\) | −0.837268 | + | 2.57685i | −0.0954156 | + | 0.293659i | ||||
\(78\) | −5.11745 | − | 4.13424i | −0.579437 | − | 0.468110i | ||||
\(79\) | 5.74135 | − | 7.90229i | 0.645953 | − | 0.889078i | −0.352963 | − | 0.935637i | \(-0.614826\pi\) |
0.998916 | + | 0.0465598i | \(0.0148258\pi\) | |||||||
\(80\) | −1.23767 | − | 8.85823i | −0.138376 | − | 0.990380i | ||||
\(81\) | −8.77623 | − | 1.99445i | −0.975136 | − | 0.221606i | ||||
\(82\) | 0.943702 | + | 5.78366i | 0.104214 | + | 0.638698i | ||||
\(83\) | −5.98760 | − | 8.24122i | −0.657225 | − | 0.904592i | 0.342161 | − | 0.939641i | \(-0.388841\pi\) |
−0.999386 | + | 0.0350494i | \(0.988841\pi\) | |||||||
\(84\) | 15.1549 | − | 6.85335i | 1.65354 | − | 0.747762i | ||||
\(85\) | −13.0283 | − | 2.55949i | −1.41312 | − | 0.277615i | ||||
\(86\) | 0.759668 | − | 4.94547i | 0.0819171 | − | 0.533283i | ||||
\(87\) | −0.225557 | − | 2.22090i | −0.0241823 | − | 0.238105i | ||||
\(88\) | −1.14429 | − | 1.11272i | −0.121981 | − | 0.118616i | ||||
\(89\) | −9.68898 | − | 3.14814i | −1.02703 | − | 0.333702i | −0.253415 | − | 0.967358i | \(-0.581554\pi\) |
−0.773615 | + | 0.633655i | \(0.781554\pi\) | |||||||
\(90\) | −4.41733 | − | 8.39566i | −0.465628 | − | 0.884981i | ||||
\(91\) | 12.2643 | − | 3.98491i | 1.28565 | − | 0.417732i | ||||
\(92\) | 8.25112 | + | 5.87803i | 0.860239 | + | 0.612827i | ||||
\(93\) | 7.06621 | + | 1.52788i | 0.732731 | + | 0.158433i | ||||
\(94\) | 2.29080 | + | 2.26954i | 0.236278 | + | 0.234085i | ||||
\(95\) | −1.28788 | + | 6.55557i | −0.132134 | + | 0.672588i | ||||
\(96\) | −0.318919 | + | 9.79277i | −0.0325496 | + | 0.999470i | ||||
\(97\) | −7.08244 | + | 9.74815i | −0.719113 | + | 0.989774i | 0.280440 | + | 0.959872i | \(0.409520\pi\) |
−0.999553 | + | 0.0299028i | \(0.990480\pi\) | |||||||
\(98\) | −3.44695 | + | 22.4397i | −0.348194 | + | 2.26676i | ||||
\(99\) | −1.54169 | − | 0.699397i | −0.154946 | − | 0.0702921i | ||||
\(100\) | 3.69664 | − | 9.29166i | 0.369664 | − | 0.929166i | ||||
\(101\) | − | 11.6113i | − | 1.15537i | −0.816260 | − | 0.577684i | \(-0.803956\pi\) | ||
0.816260 | − | 0.577684i | \(-0.196044\pi\) | |||||||
\(102\) | 13.5846 | + | 5.19661i | 1.34507 | + | 0.514541i | ||||
\(103\) | 4.63581 | + | 3.36811i | 0.456780 | + | 0.331870i | 0.792267 | − | 0.610175i | \(-0.208901\pi\) |
−0.335487 | + | 0.942045i | \(0.608901\pi\) | |||||||
\(104\) | −1.08331 | + | 7.51887i | −0.106227 | + | 0.737286i | ||||
\(105\) | 18.5158 | + | 1.72268i | 1.80695 | + | 0.168116i | ||||
\(106\) | −0.855824 | + | 0.863841i | −0.0831250 | + | 0.0839037i | ||||
\(107\) | − | 6.49390i | − | 0.627789i | −0.949458 | − | 0.313894i | \(-0.898366\pi\) | ||
0.949458 | − | 0.313894i | \(-0.101634\pi\) | |||||||
\(108\) | 3.19961 | + | 9.88749i | 0.307883 | + | 0.951424i | ||||
\(109\) | −2.34693 | − | 7.22309i | −0.224795 | − | 0.691847i | −0.998312 | − | 0.0580722i | \(-0.981505\pi\) |
0.773518 | − | 0.633775i | \(-0.218495\pi\) | |||||||
\(110\) | −0.496438 | − | 1.71405i | −0.0473335 | − | 0.163428i | ||||
\(111\) | 5.72377 | − | 9.83408i | 0.543276 | − | 0.933410i | ||||
\(112\) | −15.7454 | − | 10.9971i | −1.48780 | − | 1.03913i | ||||
\(113\) | 0.719988 | + | 2.21590i | 0.0677308 | + | 0.208454i | 0.979194 | − | 0.202929i | \(-0.0650460\pi\) |
−0.911463 | + | 0.411383i | \(0.865046\pi\) | |||||||
\(114\) | 2.61483 | − | 6.83547i | 0.244901 | − | 0.640201i | ||||
\(115\) | 4.76626 | + | 10.2749i | 0.444456 | + | 0.958137i | ||||
\(116\) | −2.07116 | + | 1.53449i | −0.192302 | + | 0.142474i | ||||
\(117\) | 1.61992 | + | 7.89279i | 0.149761 | + | 0.729689i | ||||
\(118\) | 3.35679 | − | 0.547717i | 0.309017 | − | 0.0504214i | ||||
\(119\) | −23.0649 | + | 16.7576i | −2.11435 | + | 1.53617i | ||||
\(120\) | −5.72598 | + | 9.33880i | −0.522708 | + | 0.852512i | ||||
\(121\) | 8.64156 | + | 6.27846i | 0.785597 | + | 0.570769i | ||||
\(122\) | 6.49663 | + | 3.27214i | 0.588177 | + | 0.296245i | ||||
\(123\) | 3.61036 | − | 6.20300i | 0.325535 | − | 0.559306i | ||||
\(124\) | −2.65356 | − | 7.91493i | −0.238297 | − | 0.710782i | ||||
\(125\) | 8.73080 | − | 6.98377i | 0.780907 | − | 0.624648i | ||||
\(126\) | −19.6640 | − | 5.31850i | −1.75181 | − | 0.473810i | ||||
\(127\) | 3.44560 | − | 10.6045i | 0.305748 | − | 0.940995i | −0.673649 | − | 0.739051i | \(-0.735274\pi\) |
0.979397 | − | 0.201944i | \(-0.0647258\pi\) | |||||||
\(128\) | 9.90763 | − | 5.46249i | 0.875719 | − | 0.482821i | ||||
\(129\) | −4.56832 | + | 4.08443i | −0.402218 | + | 0.359614i | ||||
\(130\) | −5.21107 | + | 6.70659i | −0.457041 | + | 0.588207i | ||||
\(131\) | 15.1692 | − | 11.0210i | 1.32534 | − | 0.962913i | 0.325488 | − | 0.945546i | \(-0.394472\pi\) |
0.999849 | − | 0.0173671i | \(-0.00552841\pi\) | |||||||
\(132\) | 0.215642 | + | 1.94288i | 0.0187692 | + | 0.169106i | ||||
\(133\) | 8.43209 | + | 11.6058i | 0.731155 | + | 1.00635i | ||||
\(134\) | −7.14493 | − | 13.8626i | −0.617228 | − | 1.19754i | ||||
\(135\) | −2.35957 | + | 11.3768i | −0.203079 | + | 0.979162i | ||||
\(136\) | −2.85899 | − | 16.5495i | −0.245157 | − | 1.41911i | ||||
\(137\) | 0.342356 | + | 1.05366i | 0.0292495 | + | 0.0900207i | 0.964616 | − | 0.263660i | \(-0.0849298\pi\) |
−0.935366 | + | 0.353681i | \(0.884930\pi\) | |||||||
\(138\) | −3.22518 | − | 11.9811i | −0.274546 | − | 1.01990i | ||||
\(139\) | 12.3412 | + | 4.00990i | 1.04677 | + | 0.340116i | 0.781399 | − | 0.624031i | \(-0.214506\pi\) |
0.265369 | + | 0.964147i | \(0.414506\pi\) | |||||||
\(140\) | −9.21697 | − | 19.3937i | −0.778976 | − | 1.63907i | ||||
\(141\) | −0.399055 | − | 3.92920i | −0.0336065 | − | 0.330898i | ||||
\(142\) | −11.1000 | + | 11.2040i | −0.931492 | + | 0.940218i | ||||
\(143\) | 1.51560i | 0.126741i | ||||||||
\(144\) | 7.92525 | − | 9.01057i | 0.660437 | − | 0.750881i | ||||
\(145\) | −2.86113 | + | 0.345497i | −0.237604 | + | 0.0286920i | ||||
\(146\) | 6.65290 | − | 13.2089i | 0.550598 | − | 1.09318i | ||||
\(147\) | 20.7285 | − | 18.5328i | 1.70966 | − | 1.52856i | ||||
\(148\) | −13.1382 | + | 0.122504i | −1.07995 | + | 0.0100698i | ||||
\(149\) | − | 2.32350i | − | 0.190349i | −0.995461 | − | 0.0951743i | \(-0.969659\pi\) | ||
0.995461 | − | 0.0951743i | \(-0.0303408\pi\) | |||||||
\(150\) | −10.7287 | + | 5.90721i | −0.875994 | + | 0.482322i | ||||
\(151\) | 4.05386i | 0.329899i | 0.986302 | + | 0.164949i | \(0.0527461\pi\) | ||||
−0.986302 | + | 0.164949i | \(0.947254\pi\) | |||||||
\(152\) | −8.32737 | + | 1.43859i | −0.675439 | + | 0.116685i | ||||
\(153\) | −8.79833 | − | 15.4889i | −0.711303 | − | 1.25221i | ||||
\(154\) | −3.42219 | − | 1.72364i | −0.275768 | − | 0.138895i | ||||
\(155\) | 1.79918 | − | 9.15819i | 0.144514 | − | 0.735603i | ||||
\(156\) | 6.87772 | − | 6.26557i | 0.550658 | − | 0.501647i | ||||
\(157\) | − | 17.1676i | − | 1.37013i | −0.728484 | − | 0.685063i | \(-0.759775\pi\) | ||
0.728484 | − | 0.685063i | \(-0.240225\pi\) | |||||||
\(158\) | 9.81320 | + | 9.72213i | 0.780697 | + | 0.773451i | ||||
\(159\) | 1.48167 | − | 0.150480i | 0.117504 | − | 0.0119339i | ||||
\(160\) | 12.6479 | + | 0.171973i | 0.999908 | + | 0.0135957i | ||||
\(161\) | 23.1305 | + | 7.51557i | 1.82294 | + | 0.592310i | ||||
\(162\) | 4.67229 | − | 11.8393i | 0.367090 | − | 0.930185i | ||||
\(163\) | 1.62100 | + | 4.98894i | 0.126967 | + | 0.390764i | 0.994254 | − | 0.107044i | \(-0.0341386\pi\) |
−0.867287 | + | 0.497808i | \(0.834139\pi\) | |||||||
\(164\) | −8.28713 | + | 0.0772712i | −0.647116 | + | 0.00603387i | ||||
\(165\) | −0.865023 | + | 2.00708i | −0.0673420 | + | 0.156251i | ||||
\(166\) | 12.8054 | − | 6.60004i | 0.993890 | − | 0.512263i | ||||
\(167\) | −13.1884 | − | 18.1523i | −1.02055 | − | 1.40467i | −0.911816 | − | 0.410600i | \(-0.865319\pi\) |
−0.108737 | − | 0.994071i | \(-0.534681\pi\) | |||||||
\(168\) | 6.32571 | + | 22.6554i | 0.488039 | + | 1.74790i | ||||
\(169\) | −4.68149 | + | 3.40130i | −0.360114 | + | 0.261638i | ||||
\(170\) | 6.37510 | − | 17.6616i | 0.488948 | − | 1.35458i | ||||
\(171\) | −7.79371 | + | 4.42714i | −0.596000 | + | 0.338552i | ||||
\(172\) | 6.74975 | + | 2.12376i | 0.514664 | + | 0.161935i | ||||
\(173\) | −0.482812 | + | 1.48594i | −0.0367075 | + | 0.112974i | −0.967731 | − | 0.251984i | \(-0.918917\pi\) |
0.931024 | + | 0.364959i | \(0.118917\pi\) | |||||||
\(174\) | 3.15284 | + | 0.161577i | 0.239016 | + | 0.0122491i | ||||
\(175\) | 1.77039 | − | 23.9416i | 0.133829 | − | 1.80982i | ||||
\(176\) | 1.80107 | − | 1.36058i | 0.135761 | − | 0.102558i | ||||
\(177\) | −3.60017 | − | 2.09542i | −0.270605 | − | 0.157501i | ||||
\(178\) | 6.48092 | − | 12.8675i | 0.485766 | − | 0.964458i | ||||
\(179\) | 10.5784 | + | 7.68562i | 0.790663 | + | 0.574450i | 0.908160 | − | 0.418623i | \(-0.137487\pi\) |
−0.117497 | + | 0.993073i | \(0.537487\pi\) | |||||||
\(180\) | 12.6841 | − | 4.37194i | 0.945416 | − | 0.325865i | ||||
\(181\) | −4.29785 | + | 3.12257i | −0.319457 | + | 0.232099i | −0.735944 | − | 0.677043i | \(-0.763261\pi\) |
0.416487 | + | 0.909142i | \(0.363261\pi\) | |||||||
\(182\) | 2.93683 | + | 17.9989i | 0.217692 | + | 1.33417i | ||||
\(183\) | −3.59505 | − | 8.15139i | −0.265754 | − | 0.602568i | ||||
\(184\) | −9.98808 | + | 10.2714i | −0.736331 | + | 0.757221i | ||||
\(185\) | −12.8336 | − | 7.14734i | −0.943542 | − | 0.525483i | ||||
\(186\) | −3.65293 | + | 9.54921i | −0.267846 | + | 0.700182i | ||||
\(187\) | −1.03543 | − | 3.18674i | −0.0757185 | − | 0.233038i | ||||
\(188\) | −3.66428 | + | 2.71481i | −0.267245 | + | 0.197998i | ||||
\(189\) | 14.4515 | + | 20.3371i | 1.05119 | + | 1.47931i | ||||
\(190\) | −8.88697 | − | 3.20782i | −0.644729 | − | 0.232720i | ||||
\(191\) | −2.74792 | − | 8.45723i | −0.198833 | − | 0.611944i | −0.999910 | − | 0.0133837i | \(-0.995740\pi\) |
0.801078 | − | 0.598560i | \(-0.204260\pi\) | |||||||
\(192\) | −13.6200 | − | 2.54847i | −0.982941 | − | 0.183920i | ||||
\(193\) | 2.35590i | 0.169581i | 0.996399 | + | 0.0847905i | \(0.0270221\pi\) | ||||
−0.996399 | + | 0.0847905i | \(0.972978\pi\) | |||||||
\(194\) | −12.1054 | − | 11.9931i | −0.869118 | − | 0.861052i | ||||
\(195\) | 10.1481 | − | 2.28410i | 0.726719 | − | 0.163568i | ||||
\(196\) | −30.6266 | − | 9.63641i | −2.18761 | − | 0.688315i | ||||
\(197\) | 14.7996 | + | 10.7526i | 1.05443 | + | 0.766088i | 0.973050 | − | 0.230595i | \(-0.0740673\pi\) |
0.0813799 | + | 0.996683i | \(0.474067\pi\) | |||||||
\(198\) | 1.30866 | − | 2.00483i | 0.0930023 | − | 0.142477i | ||||
\(199\) | 20.2791i | 1.43755i | 0.695244 | + | 0.718774i | \(0.255297\pi\) | ||||
−0.695244 | + | 0.718774i | \(0.744703\pi\) | |||||||
\(200\) | 12.1943 | + | 7.16231i | 0.862268 | + | 0.506452i | ||||
\(201\) | −4.03670 | + | 18.6691i | −0.284727 | + | 1.31682i | ||||
\(202\) | 16.2305 | + | 2.49315i | 1.14197 | + | 0.175418i | ||||
\(203\) | −3.63733 | + | 5.00635i | −0.255290 | + | 0.351377i | ||||
\(204\) | −10.1808 | + | 17.8729i | −0.712795 | + | 1.25136i | ||||
\(205\) | −8.09497 | − | 4.50829i | −0.565377 | − | 0.314873i | ||||
\(206\) | −5.70340 | + | 5.75683i | −0.397375 | + | 0.401097i | ||||
\(207\) | −6.27800 | + | 13.8387i | −0.436351 | + | 0.961855i | ||||
\(208\) | −10.2774 | − | 3.12870i | −0.712610 | − | 0.216936i | ||||
\(209\) | −1.60350 | + | 0.521010i | −0.110917 | + | 0.0360390i | ||||
\(210\) | −6.38365 | + | 25.5118i | −0.440513 | + | 1.76048i | ||||
\(211\) | −22.4313 | − | 7.28837i | −1.54423 | − | 0.501752i | −0.591693 | − | 0.806163i | \(-0.701540\pi\) |
−0.952541 | + | 0.304411i | \(0.901540\pi\) | |||||||
\(212\) | −1.02373 | − | 1.38177i | −0.0703103 | − | 0.0949003i | ||||
\(213\) | 19.2172 | − | 1.95172i | 1.31674 | − | 0.133730i | ||||
\(214\) | 9.07729 | + | 1.39435i | 0.620511 | + | 0.0953161i | ||||
\(215\) | 5.38383 | + | 5.79665i | 0.367174 | + | 0.395328i | ||||
\(216\) | −14.5079 | + | 2.34946i | −0.987140 | + | 0.159861i | ||||
\(217\) | −11.7797 | − | 16.2134i | −0.799657 | − | 1.10063i | ||||
\(218\) | 10.6005 | − | 1.72965i | 0.717956 | − | 0.117147i | ||||
\(219\) | −16.5734 | + | 7.30944i | −1.11993 | + | 0.493926i | ||||
\(220\) | 2.50252 | − | 0.325894i | 0.168720 | − | 0.0219718i | ||||
\(221\) | −9.37375 | + | 12.9019i | −0.630547 | + | 0.867873i | ||||
\(222\) | 12.5173 | + | 10.1123i | 0.840104 | + | 0.678696i | ||||
\(223\) | 1.04868 | − | 3.22751i | 0.0702250 | − | 0.216130i | −0.909785 | − | 0.415081i | \(-0.863753\pi\) |
0.980010 | + | 0.198950i | \(0.0637533\pi\) | |||||||
\(224\) | 18.7527 | − | 19.6480i | 1.25297 | − | 1.31279i | ||||
\(225\) | 14.7425 | + | 2.76720i | 0.982836 | + | 0.184480i | ||||
\(226\) | −3.25201 | + | 0.530621i | −0.216321 | + | 0.0352964i | ||||
\(227\) | 25.9334 | + | 8.42626i | 1.72126 | + | 0.559271i | 0.992142 | − | 0.125119i | \(-0.0399313\pi\) |
0.729116 | + | 0.684390i | \(0.239931\pi\) | |||||||
\(228\) | 8.99330 | + | 5.12275i | 0.595596 | + | 0.339262i | ||||
\(229\) | 2.60772 | + | 1.89462i | 0.172323 | + | 0.125200i | 0.670604 | − | 0.741816i | \(-0.266035\pi\) |
−0.498281 | + | 0.867016i | \(0.666035\pi\) | |||||||
\(230\) | −15.3858 | + | 4.45618i | −1.01451 | + | 0.293832i | ||||
\(231\) | 1.89374 | + | 4.29386i | 0.124599 | + | 0.282515i | ||||
\(232\) | −1.70022 | − | 3.22458i | −0.111625 | − | 0.211704i | ||||
\(233\) | −9.09383 | + | 6.60706i | −0.595757 | + | 0.432843i | −0.844370 | − | 0.535760i | \(-0.820025\pi\) |
0.248613 | + | 0.968603i | \(0.420025\pi\) | |||||||
\(234\) | −11.3805 | + | 0.569627i | −0.743967 | + | 0.0372377i | ||||
\(235\) | −5.06190 | + | 0.611252i | −0.330202 | + | 0.0398737i | ||||
\(236\) | 0.0448476 | + | 4.80978i | 0.00291933 | + | 0.313090i | ||||
\(237\) | −1.70945 | − | 16.8317i | −0.111041 | − | 1.09334i | ||||
\(238\) | −18.4717 | − | 35.8386i | −1.19734 | − | 2.32307i | ||||
\(239\) | 1.12930 | − | 3.47563i | 0.0730485 | − | 0.224820i | −0.907866 | − | 0.419261i | \(-0.862289\pi\) |
0.980914 | + | 0.194441i | \(0.0622892\pi\) | |||||||
\(240\) | −11.8245 | − | 10.0091i | −0.763267 | − | 0.646083i | ||||
\(241\) | 5.20702 | + | 16.0256i | 0.335414 | + | 1.03230i | 0.966518 | + | 0.256600i | \(0.0826022\pi\) |
−0.631104 | + | 0.775698i | \(0.717398\pi\) | |||||||
\(242\) | −10.6316 | + | 10.7312i | −0.683428 | + | 0.689830i | ||||
\(243\) | −13.6345 | + | 7.55643i | −0.874655 | + | 0.484745i | ||||
\(244\) | −5.96879 | + | 8.37852i | −0.382113 | + | 0.536380i | ||||
\(245\) | −24.4288 | − | 26.3019i | −1.56070 | − | 1.68037i | ||||
\(246\) | 7.89547 | + | 6.37852i | 0.503396 | + | 0.406679i | ||||
\(247\) | 6.49195 | + | 4.71668i | 0.413073 | + | 0.300115i | ||||
\(248\) | 11.6334 | − | 2.00972i | 0.738722 | − | 0.127617i | ||||
\(249\) | −17.2454 | − | 3.72885i | −1.09288 | − | 0.236306i | ||||
\(250\) | 7.88739 | + | 13.7036i | 0.498842 | + | 0.866693i | ||||
\(251\) | 4.74690 | 0.299621 | 0.149811 | − | 0.988715i | \(-0.452134\pi\) | ||||
0.149811 | + | 0.988715i | \(0.452134\pi\) | |||||||
\(252\) | 11.6565 | − | 26.3448i | 0.734291 | − | 1.65957i | ||||
\(253\) | −1.68014 | + | 2.31251i | −0.105629 | + | 0.145386i | ||||
\(254\) | 14.0833 | + | 7.09329i | 0.883664 | + | 0.445073i | ||||
\(255\) | −19.7772 | + | 11.7356i | −1.23850 | + | 0.734915i | ||||
\(256\) | 5.50823 | + | 15.0220i | 0.344264 | + | 0.938873i | ||||
\(257\) | 15.4807 | 0.965659 | 0.482829 | − | 0.875714i | \(-0.339609\pi\) | ||||
0.482829 | + | 0.875714i | \(0.339609\pi\) | |||||||
\(258\) | −4.72839 | − | 7.26268i | −0.294377 | − | 0.452155i | ||||
\(259\) | −29.9985 | + | 9.74709i | −1.86401 | + | 0.605655i | ||||
\(260\) | −8.25569 | − | 8.72415i | −0.511996 | − | 0.541049i | ||||
\(261\) | −2.85516 | − | 2.60727i | −0.176730 | − | 0.161386i | ||||
\(262\) | 12.1483 | + | 23.5702i | 0.750527 | + | 1.45617i | ||||
\(263\) | −7.27990 | + | 2.36538i | −0.448898 | + | 0.145856i | −0.524737 | − | 0.851264i | \(-0.675836\pi\) |
0.0758392 | + | 0.997120i | \(0.475836\pi\) | |||||||
\(264\) | −2.76210 | − | 0.115742i | −0.169995 | − | 0.00712346i | ||||
\(265\) | −0.230498 | − | 1.90880i | −0.0141594 | − | 0.117257i | ||||
\(266\) | −18.0333 | + | 9.29456i | −1.10569 | + | 0.569886i | ||||
\(267\) | −16.1450 | + | 7.12050i | −0.988056 | + | 0.435767i | ||||
\(268\) | 20.9115 | − | 7.01078i | 1.27737 | − | 0.428252i | ||||
\(269\) | −2.63318 | − | 3.62427i | −0.160548 | − | 0.220976i | 0.721163 | − | 0.692766i | \(-0.243608\pi\) |
−0.881711 | + | 0.471790i | \(0.843608\pi\) | |||||||
\(270\) | −15.3961 | − | 5.74106i | −0.936978 | − | 0.349389i | ||||
\(271\) | −0.324464 | + | 0.446587i | −0.0197098 | + | 0.0271282i | −0.818758 | − | 0.574139i | \(-0.805337\pi\) |
0.799048 | + | 0.601267i | \(0.205337\pi\) | |||||||
\(272\) | 23.7471 | − | 0.442886i | 1.43988 | − | 0.0268539i | ||||
\(273\) | 11.2355 | − | 19.3039i | 0.680005 | − | 1.16833i | ||||
\(274\) | −1.54634 | + | 0.252312i | −0.0934179 | + | 0.0152427i | ||||
\(275\) | 2.61183 | + | 1.06742i | 0.157499 | + | 0.0643676i | ||||
\(276\) | 17.4399 | − | 1.93567i | 1.04976 | − | 0.116513i | ||||
\(277\) | 7.08835 | + | 2.30315i | 0.425898 | + | 0.138383i | 0.514120 | − | 0.857718i | \(-0.328119\pi\) |
−0.0882222 | + | 0.996101i | \(0.528119\pi\) | |||||||
\(278\) | −8.25499 | + | 16.3898i | −0.495101 | + | 0.982994i | ||||
\(279\) | 10.8879 | − | 6.18475i | 0.651840 | − | 0.370271i | ||||
\(280\) | 29.0879 | − | 8.71948i | 1.73834 | − | 0.521088i | ||||
\(281\) | −7.81585 | − | 10.7576i | −0.466254 | − | 0.641744i | 0.509537 | − | 0.860449i | \(-0.329817\pi\) |
−0.975791 | + | 0.218705i | \(0.929817\pi\) | |||||||
\(282\) | 5.57799 | + | 0.285861i | 0.332165 | + | 0.0170228i | ||||
\(283\) | 16.5963 | − | 12.0579i | 0.986545 | − | 0.716767i | 0.0273836 | − | 0.999625i | \(-0.491282\pi\) |
0.959162 | + | 0.282858i | \(0.0912824\pi\) | |||||||
\(284\) | −13.2778 | − | 17.9215i | −0.787891 | − | 1.06344i | ||||
\(285\) | 5.90514 | + | 9.95148i | 0.349790 | + | 0.589475i | ||||
\(286\) | −2.11853 | − | 0.325425i | −0.125271 | − | 0.0192428i | ||||
\(287\) | −18.9220 | + | 6.14813i | −1.11693 | + | 0.362913i | ||||
\(288\) | 10.8935 | + | 13.0128i | 0.641903 | + | 0.766786i | ||||
\(289\) | 5.64188 | − | 17.3639i | 0.331875 | − | 1.02141i | ||||
\(290\) | 0.131392 | − | 4.07352i | 0.00771562 | − | 0.239206i | ||||
\(291\) | 2.10875 | + | 20.7633i | 0.123617 | + | 1.21717i | ||||
\(292\) | 17.0352 | + | 12.1357i | 0.996909 | + | 0.710190i | ||||
\(293\) | 4.95298 | 0.289356 | 0.144678 | − | 0.989479i | \(-0.453785\pi\) | ||||
0.144678 | + | 0.989479i | \(0.453785\pi\) | |||||||
\(294\) | 21.4548 | + | 32.9540i | 1.25127 | + | 1.92191i | ||||
\(295\) | −2.61658 | + | 4.69825i | −0.152343 | + | 0.273543i | ||||
\(296\) | 2.64977 | − | 18.3911i | 0.154014 | − | 1.06896i | ||||
\(297\) | −2.79808 | + | 0.876730i | −0.162361 | + | 0.0508730i | ||||
\(298\) | 3.24783 | + | 0.498896i | 0.188142 | + | 0.0289003i | ||||
\(299\) | 13.6044 | 0.786765 | ||||||||
\(300\) | −5.95357 | − | 16.2651i | −0.343730 | − | 0.939069i | ||||
\(301\) | 16.9873 | 0.979131 | ||||||||
\(302\) | −5.66656 | − | 0.870435i | −0.326074 | − | 0.0500879i | ||||
\(303\) | −13.4047 | − | 14.9928i | −0.770078 | − | 0.861311i | ||||
\(304\) | −0.222851 | − | 11.9490i | −0.0127814 | − | 0.685325i | ||||
\(305\) | −10.4335 | + | 4.83986i | −0.597422 | + | 0.277129i | ||||
\(306\) | 23.5399 | − | 8.97273i | 1.34568 | − | 0.512937i | ||||
\(307\) | 30.9731 | 1.76773 | 0.883863 | − | 0.467746i | \(-0.154934\pi\) | ||||
0.883863 | + | 0.467746i | \(0.154934\pi\) | |||||||
\(308\) | 3.14414 | − | 4.41350i | 0.179154 | − | 0.251483i | ||||
\(309\) | 9.87416 | − | 1.00283i | 0.561721 | − | 0.0570492i | ||||
\(310\) | 12.4152 | + | 4.48135i | 0.705134 | + | 0.254524i | ||||
\(311\) | −8.11899 | + | 24.9877i | −0.460386 | + | 1.41692i | 0.404308 | + | 0.914623i | \(0.367512\pi\) |
−0.864694 | + | 0.502299i | \(0.832488\pi\) | |||||||
\(312\) | 7.28136 | + | 10.9591i | 0.412226 | + | 0.620439i | ||||
\(313\) | −14.2337 | + | 4.62482i | −0.804538 | + | 0.261410i | −0.682283 | − | 0.731089i | \(-0.739013\pi\) |
−0.122255 | + | 0.992499i | \(0.539013\pi\) | |||||||
\(314\) | 23.9972 | + | 3.68619i | 1.35424 | + | 0.208024i | ||||
\(315\) | 25.8967 | − | 19.1512i | 1.45911 | − | 1.07905i | ||||
\(316\) | −15.6968 | + | 11.6296i | −0.883016 | + | 0.654214i | ||||
\(317\) | −18.6283 | + | 13.5343i | −1.04627 | + | 0.760159i | −0.971500 | − | 0.237042i | \(-0.923822\pi\) |
−0.0747700 | + | 0.997201i | \(0.523822\pi\) | |||||||
\(318\) | −0.107796 | + | 2.10341i | −0.00604489 | + | 0.117954i | ||||
\(319\) | −0.427493 | − | 0.588394i | −0.0239350 | − | 0.0329437i | ||||
\(320\) | −2.95612 | + | 17.6426i | −0.165252 | + | 0.986251i | ||||
\(321\) | −7.49688 | − | 8.38505i | −0.418435 | − | 0.468008i | ||||
\(322\) | −15.4719 | + | 30.7186i | −0.862217 | + | 1.71188i | ||||
\(323\) | −16.8726 | − | 5.48223i | −0.938814 | − | 0.305039i | ||||
\(324\) | 15.5460 | + | 9.07313i | 0.863667 | + | 0.504063i | ||||
\(325\) | −3.19660 | − | 13.0428i | −0.177316 | − | 0.723487i | ||||
\(326\) | −7.32168 | + | 1.19466i | −0.405511 | + | 0.0661659i | ||||
\(327\) | −11.3691 | − | 6.61719i | −0.628712 | − | 0.365932i | ||||
\(328\) | 1.67138 | − | 11.6005i | 0.0922866 | − | 0.640530i | ||||
\(329\) | −6.43514 | + | 8.85721i | −0.354781 | + | 0.488314i | ||||
\(330\) | −2.61979 | − | 1.64010i | −0.144215 | − | 0.0902845i | ||||
\(331\) | −11.0206 | − | 15.1686i | −0.605748 | − | 0.833740i | 0.390471 | − | 0.920615i | \(-0.372312\pi\) |
−0.996219 | + | 0.0868748i | \(0.972312\pi\) | |||||||
\(332\) | 6.47612 | + | 19.3167i | 0.355423 | + | 1.06014i | ||||
\(333\) | −3.96231 | − | 19.3058i | −0.217133 | − | 1.05795i | ||||
\(334\) | 28.2055 | − | 14.5374i | 1.54333 | − | 0.795453i | ||||
\(335\) | 24.1962 | + | 4.75349i | 1.32198 | + | 0.259711i | ||||
\(336\) | −33.0264 | + | 3.97769i | −1.80174 | + | 0.217001i | ||||
\(337\) | −19.2265 | + | 6.24707i | −1.04734 | + | 0.340300i | −0.781622 | − | 0.623752i | \(-0.785607\pi\) |
−0.265713 | + | 0.964052i | \(0.585607\pi\) | |||||||
\(338\) | −3.74920 | − | 7.27419i | −0.203930 | − | 0.395664i | ||||
\(339\) | 3.48780 | + | 2.03002i | 0.189431 | + | 0.110255i | ||||
\(340\) | 23.3189 | + | 12.7035i | 1.26465 | + | 0.688944i | ||||
\(341\) | 2.24011 | − | 0.727855i | 0.121309 | − | 0.0394155i | ||||
\(342\) | −4.51489 | − | 11.8448i | −0.244137 | − | 0.640492i | ||||
\(343\) | −43.4690 | −2.34710 | ||||||||
\(344\) | −4.41791 | + | 8.97892i | −0.238198 | + | 0.484111i | ||||
\(345\) | 18.0161 | + | 7.76470i | 0.969955 | + | 0.418038i | ||||
\(346\) | −1.97341 | − | 0.993942i | −0.106091 | − | 0.0534346i | ||||
\(347\) | −7.05470 | + | 9.70997i | −0.378716 | + | 0.521258i | −0.955244 | − | 0.295819i | \(-0.904407\pi\) |
0.576528 | + | 0.817078i | \(0.304407\pi\) | |||||||
\(348\) | −0.902825 | + | 4.37241i | −0.0483965 | + | 0.234386i | ||||
\(349\) | −19.3624 | −1.03645 | −0.518224 | − | 0.855245i | \(-0.673407\pi\) | ||||
−0.518224 | + | 0.855245i | \(0.673407\pi\) | |||||||
\(350\) | 33.0859 | + | 7.61537i | 1.76852 | + | 0.407059i | ||||
\(351\) | 11.2035 | + | 8.32122i | 0.597998 | + | 0.444154i | ||||
\(352\) | 1.51513 | + | 2.80972i | 0.0807565 | + | 0.149758i | ||||
\(353\) | −0.596815 | − | 0.433611i | −0.0317653 | − | 0.0230788i | 0.571789 | − | 0.820400i | \(-0.306249\pi\) |
−0.603555 | + | 0.797322i | \(0.706249\pi\) | |||||||
\(354\) | 3.70204 | − | 4.58246i | 0.196761 | − | 0.243555i | ||||
\(355\) | −2.98955 | − | 24.7570i | −0.158669 | − | 1.31397i | ||||
\(356\) | 16.5948 | + | 11.8220i | 0.879524 | + | 0.626566i | ||||
\(357\) | −10.4360 | + | 48.2650i | −0.552332 | + | 2.55445i | ||||
\(358\) | −13.0145 | + | 13.1364i | −0.687836 | + | 0.694279i | ||||
\(359\) | −9.96302 | − | 30.6630i | −0.525828 | − | 1.61833i | −0.762672 | − | 0.646785i | \(-0.776113\pi\) |
0.236844 | − | 0.971548i | \(-0.423887\pi\) | |||||||
\(360\) | 3.38768 | + | 18.6688i | 0.178546 | + | 0.983932i | ||||
\(361\) | 3.11278 | − | 9.58015i | 0.163830 | − | 0.504218i | ||||
\(362\) | −3.44197 | − | 6.67809i | −0.180906 | − | 0.350993i | ||||
\(363\) | 18.4063 | − | 1.86937i | 0.966081 | − | 0.0981166i | ||||
\(364\) | −25.7898 | + | 0.240470i | −1.35175 | + | 0.0126041i | ||||
\(365\) | 9.84038 | + | 21.2134i | 0.515069 | + | 1.11036i | ||||
\(366\) | 12.1661 | − | 3.27498i | 0.635931 | − | 0.171186i | ||||
\(367\) | 12.2965 | − | 8.93397i | 0.641875 | − | 0.466349i | −0.218619 | − | 0.975810i | \(-0.570155\pi\) |
0.860494 | + | 0.509461i | \(0.170155\pi\) | |||||||
\(368\) | −12.2130 | − | 16.1670i | −0.636647 | − | 0.842762i | ||||
\(369\) | −2.49929 | − | 12.1774i | −0.130108 | − | 0.633931i | ||||
\(370\) | 12.7463 | − | 16.4043i | 0.662647 | − | 0.852820i | ||||
\(371\) | −3.33998 | − | 2.42664i | −0.173403 | − | 0.125985i | ||||
\(372\) | −12.5637 | − | 7.15652i | −0.651398 | − | 0.371048i | ||||
\(373\) | 11.2501 | + | 3.65537i | 0.582507 | + | 0.189268i | 0.585423 | − | 0.810728i | \(-0.300928\pi\) |
−0.00291638 | + | 0.999996i | \(0.500928\pi\) | |||||||
\(374\) | 4.67681 | − | 0.763101i | 0.241832 | − | 0.0394590i | ||||
\(375\) | 3.21097 | − | 19.0968i | 0.165814 | − | 0.986157i | ||||
\(376\) | −3.00803 | − | 5.70491i | −0.155127 | − | 0.294208i | ||||
\(377\) | −1.06966 | + | 3.29209i | −0.0550905 | + | 0.169551i | ||||
\(378\) | −31.5305 | + | 15.8338i | −1.62176 | + | 0.814402i | ||||
\(379\) | −0.559044 | + | 0.769459i | −0.0287162 | + | 0.0395244i | −0.823134 | − | 0.567848i | \(-0.807776\pi\) |
0.794417 | + | 0.607372i | \(0.207776\pi\) | |||||||
\(380\) | 6.39214 | − | 11.7336i | 0.327910 | − | 0.601921i | ||||
\(381\) | −7.79329 | − | 17.6705i | −0.399263 | − | 0.905286i | ||||
\(382\) | 12.4117 | − | 2.02518i | 0.635038 | − | 0.103617i | ||||
\(383\) | 8.50643 | + | 11.7081i | 0.434658 | + | 0.598256i | 0.969015 | − | 0.247004i | \(-0.0794459\pi\) |
−0.534356 | + | 0.845259i | \(0.679446\pi\) | |||||||
\(384\) | 6.48676 | − | 18.4911i | 0.331026 | − | 0.943622i | ||||
\(385\) | 5.49600 | − | 2.54946i | 0.280102 | − | 0.129933i | ||||
\(386\) | −3.29311 | − | 0.505852i | −0.167615 | − | 0.0257472i | ||||
\(387\) | −1.18344 | + | 10.5478i | −0.0601575 | + | 0.536174i | ||||
\(388\) | 19.3634 | − | 14.3461i | 0.983027 | − | 0.728310i | ||||
\(389\) | −15.0336 | − | 4.88472i | −0.762234 | − | 0.247665i | −0.0979971 | − | 0.995187i | \(-0.531244\pi\) |
−0.664237 | + | 0.747522i | \(0.731244\pi\) | |||||||
\(390\) | 1.01379 | + | 14.6756i | 0.0513352 | + | 0.743128i | ||||
\(391\) | −28.6051 | + | 9.29437i | −1.44662 | + | 0.470037i | ||||
\(392\) | 20.0460 | − | 40.7413i | 1.01248 | − | 2.05775i | ||||
\(393\) | 6.86349 | − | 31.7426i | 0.346217 | − | 1.60120i | ||||
\(394\) | −18.2079 | + | 18.3784i | −0.917299 | + | 0.925892i | ||||
\(395\) | −21.6839 | + | 2.61845i | −1.09103 | + | 0.131748i | ||||
\(396\) | 2.52140 | + | 2.25974i | 0.126705 | + | 0.113556i | ||||
\(397\) | 14.7835 | − | 20.3477i | 0.741960 | − | 1.02122i | −0.256543 | − | 0.966533i | \(-0.582584\pi\) |
0.998503 | − | 0.0546879i | \(-0.0174164\pi\) | |||||||
\(398\) | −28.3465 | − | 4.35428i | −1.42088 | − | 0.218260i | ||||
\(399\) | 24.2859 | + | 5.25118i | 1.21582 | + | 0.262888i | ||||
\(400\) | −12.6299 | + | 15.5076i | −0.631497 | + | 0.775378i | ||||
\(401\) | − | 3.96242i | − | 0.197874i | −0.995094 | − | 0.0989370i | \(-0.968456\pi\) | ||
0.995094 | − | 0.0989370i | \(-0.0315442\pi\) | |||||||
\(402\) | −25.2293 | − | 9.65116i | −1.25832 | − | 0.481356i | ||||
\(403\) | −9.06931 | − | 6.58924i | −0.451774 | − | 0.328233i | ||||
\(404\) | −6.96995 | + | 22.1520i | −0.346768 | + | 1.10210i | ||||
\(405\) | 10.0873 | + | 17.4140i | 0.501240 | + | 0.865308i | ||||
\(406\) | −6.21697 | − | 6.15927i | −0.308543 | − | 0.305680i | ||||
\(407\) | − | 3.70715i | − | 0.183756i | ||||||
\(408\) | −22.7972 | − | 18.0685i | −1.12863 | − | 0.894523i | ||||
\(409\) | 7.32076 | + | 22.5310i | 0.361988 | + | 1.11409i | 0.951846 | + | 0.306578i | \(0.0991841\pi\) |
−0.589857 | + | 0.807508i | \(0.700816\pi\) | |||||||
\(410\) | 8.03991 | − | 10.3473i | 0.397063 | − | 0.511016i | ||||
\(411\) | 1.65846 | + | 0.965279i | 0.0818058 | + | 0.0476137i | ||||
\(412\) | −6.82238 | − | 9.20841i | −0.336114 | − | 0.453666i | ||||
\(413\) | 3.56832 | + | 10.9822i | 0.175586 | + | 0.540397i | ||||
\(414\) | −17.9960 | − | 11.7469i | −0.884454 | − | 0.577329i | ||||
\(415\) | −4.39098 | + | 22.3510i | −0.215545 | + | 1.09717i | ||||
\(416\) | 6.58009 | − | 13.6942i | 0.322615 | − | 0.671412i | ||||
\(417\) | 20.5644 | − | 9.06964i | 1.00705 | − | 0.444142i | ||||
\(418\) | −0.383977 | − | 2.35328i | −0.0187809 | − | 0.115102i | ||||
\(419\) | 12.2451 | − | 8.89660i | 0.598213 | − | 0.434627i | −0.247031 | − | 0.969008i | \(-0.579455\pi\) |
0.845244 | + | 0.534380i | \(0.179455\pi\) | |||||||
\(420\) | −34.2902 | − | 14.4010i | −1.67319 | − | 0.702697i | ||||
\(421\) | 3.89160 | + | 2.82741i | 0.189665 | + | 0.137800i | 0.678566 | − | 0.734540i | \(-0.262602\pi\) |
−0.488901 | + | 0.872339i | \(0.662602\pi\) | |||||||
\(422\) | 15.0042 | − | 29.7899i | 0.730393 | − | 1.45015i | ||||
\(423\) | −5.05133 | − | 4.61277i | −0.245604 | − | 0.224281i | ||||
\(424\) | 2.15127 | − | 1.13430i | 0.104475 | − | 0.0550866i | ||||
\(425\) | 15.6320 | + | 25.2404i | 0.758262 | + | 1.22434i | ||||
\(426\) | −1.39811 | + | 27.2812i | −0.0677386 | + | 1.32178i | ||||
\(427\) | −7.63161 | + | 23.4877i | −0.369320 | + | 1.13665i | ||||
\(428\) | −3.89811 | + | 12.3890i | −0.188422 | + | 0.598846i | ||||
\(429\) | 1.74968 | + | 1.95697i | 0.0844753 | + | 0.0944833i | ||||
\(430\) | −9.25867 | + | 6.28098i | −0.446493 | + | 0.302896i | ||||
\(431\) | −16.6586 | + | 12.1032i | −0.802417 | + | 0.582990i | −0.911622 | − | 0.411029i | \(-0.865169\pi\) |
0.109205 | + | 0.994019i | \(0.465169\pi\) | |||||||
\(432\) | −0.169014 | − | 20.7839i | −0.00813170 | − | 0.999967i | ||||
\(433\) | 14.3398 | + | 19.7370i | 0.689125 | + | 0.948500i | 0.999998 | − | 0.00195184i | \(-0.000621291\pi\) |
−0.310873 | + | 0.950452i | \(0.600621\pi\) | |||||||
\(434\) | 25.1926 | − | 12.9846i | 1.20928 | − | 0.623280i | ||||
\(435\) | −3.29549 | + | 3.74914i | −0.158006 | + | 0.179758i | ||||
\(436\) | 0.141626 | + | 15.1890i | 0.00678263 | + | 0.727419i | ||||
\(437\) | 4.67674 | + | 14.3935i | 0.223719 | + | 0.688535i | ||||
\(438\) | −6.65868 | − | 24.7360i | −0.318164 | − | 1.18193i | ||||
\(439\) | 20.6987 | + | 6.72542i | 0.987896 | + | 0.320987i | 0.758019 | − | 0.652233i | \(-0.226167\pi\) |
0.229877 | + | 0.973220i | \(0.426167\pi\) | |||||||
\(440\) | −0.0817941 | + | 3.56805i | −0.00389938 | + | 0.170100i | ||||
\(441\) | 5.36978 | − | 47.8599i | 0.255704 | − | 2.27904i | ||||
\(442\) | −16.0218 | − | 15.8731i | −0.762077 | − | 0.755004i | ||||
\(443\) | − | 12.6680i | − | 0.601874i | −0.953644 | − | 0.300937i | \(-0.902701\pi\) | ||
0.953644 | − | 0.300937i | \(-0.0972993\pi\) | |||||||
\(444\) | −16.8229 | + | 15.3256i | −0.798379 | + | 0.727320i | ||||
\(445\) | 9.58601 | + | 20.6650i | 0.454421 | + | 0.979617i | ||||
\(446\) | 4.28631 | + | 2.15887i | 0.202963 | + | 0.102226i | ||||
\(447\) | −2.68236 | − | 3.00015i | −0.126871 | − | 0.141902i | ||||
\(448\) | 23.4378 | + | 30.4317i | 1.10733 | + | 1.43776i | ||||
\(449\) | 31.4737i | 1.48534i | 0.669659 | + | 0.742669i | \(0.266440\pi\) | ||||
−0.669659 | + | 0.742669i | \(0.733560\pi\) | |||||||
\(450\) | −7.03352 | + | 20.0132i | −0.331563 | + | 0.943433i | ||||
\(451\) | − | 2.33834i | − | 0.110108i | ||||||
\(452\) | −0.0434478 | − | 4.65966i | −0.00204361 | − | 0.219172i | ||||
\(453\) | 4.67998 | + | 5.23443i | 0.219885 | + | 0.245935i | ||||
\(454\) | −17.3467 | + | 34.4409i | −0.814123 | + | 1.61639i | ||||
\(455\) | −25.1917 | − | 14.0299i | −1.18101 | − | 0.657733i | ||||
\(456\) | −9.09169 | + | 11.4711i | −0.425757 | + | 0.537182i | ||||
\(457\) | − | 12.4271i | − | 0.581314i | −0.956827 | − | 0.290657i | \(-0.906126\pi\) | ||
0.956827 | − | 0.290657i | \(-0.0938738\pi\) | |||||||
\(458\) | −3.20826 | + | 3.23832i | −0.149912 | + | 0.151317i | ||||
\(459\) | −29.2418 | − | 9.84238i | −1.36489 | − | 0.459403i | ||||
\(460\) | −2.92532 | − | 22.4634i | −0.136394 | − | 1.04736i | ||||
\(461\) | −25.2483 | − | 8.20366i | −1.17593 | − | 0.382083i | −0.345077 | − | 0.938575i | \(-0.612147\pi\) |
−0.830853 | + | 0.556492i | \(0.812147\pi\) | |||||||
\(462\) | −6.40865 | + | 1.72514i | −0.298157 | + | 0.0802608i | ||||
\(463\) | 12.8846 | + | 39.6547i | 0.598798 | + | 1.84291i | 0.534833 | + | 0.844958i | \(0.320374\pi\) |
0.0639642 | + | 0.997952i | \(0.479626\pi\) | |||||||
\(464\) | 4.87245 | − | 1.68423i | 0.226198 | − | 0.0781885i | ||||
\(465\) | −8.24952 | − | 13.9023i | −0.382562 | − | 0.644703i | ||||
\(466\) | −7.28286 | − | 14.1302i | −0.337372 | − | 0.654568i | ||||
\(467\) | 0.0596587 | + | 0.0821131i | 0.00276067 | + | 0.00379974i | 0.810395 | − | 0.585884i | \(-0.199252\pi\) |
−0.807634 | + | 0.589684i | \(0.799252\pi\) | |||||||
\(468\) | 1.64736 | − | 16.0302i | 0.0761493 | − | 0.740996i | ||||
\(469\) | 42.8362 | − | 31.1223i | 1.97799 | − | 1.43709i | ||||
\(470\) | 0.232459 | − | 7.20686i | 0.0107225 | − | 0.332428i | ||||
\(471\) | −19.8192 | − | 22.1672i | −0.913218 | − | 1.02141i | ||||
\(472\) | −6.73283 | − | 0.970056i | −0.309904 | − | 0.0446504i | ||||
\(473\) | −0.616955 | + | 1.89879i | −0.0283676 | + | 0.0873065i | ||||
\(474\) | 23.8947 | + | 1.22456i | 1.09752 | + | 0.0562458i | ||||
\(475\) | 12.7005 | − | 7.86569i | 0.582737 | − | 0.360903i | ||||
\(476\) | 54.0621 | − | 18.1248i | 2.47793 | − | 0.830751i | ||||
\(477\) | 1.73944 | − | 1.90481i | 0.0796433 | − | 0.0872154i | ||||
\(478\) | 4.61582 | + | 2.32484i | 0.211123 | + | 0.106336i | ||||
\(479\) | 4.14680 | + | 3.01282i | 0.189472 | + | 0.137659i | 0.678477 | − | 0.734621i | \(-0.262640\pi\) |
−0.489005 | + | 0.872281i | \(0.662640\pi\) | |||||||
\(480\) | 16.5298 | − | 14.3793i | 0.754479 | − | 0.656325i | ||||
\(481\) | −14.2742 | + | 10.3708i | −0.650847 | + | 0.472868i | ||||
\(482\) | −23.5189 | + | 3.83750i | −1.07126 | + | 0.174794i | ||||
\(483\) | 38.5429 | − | 16.9988i | 1.75376 | − | 0.773471i | ||||
\(484\) | −12.7175 | − | 17.1653i | −0.578069 | − | 0.780241i | ||||
\(485\) | 26.7489 | − | 3.23008i | 1.21460 | − | 0.146670i | ||||
\(486\) | −7.63495 | − | 20.6811i | −0.346328 | − | 0.938113i | ||||
\(487\) | −2.69746 | − | 8.30192i | −0.122233 | − | 0.376196i | 0.871153 | − | 0.491011i | \(-0.163372\pi\) |
−0.993387 | + | 0.114815i | \(0.963372\pi\) | |||||||
\(488\) | −10.4300 | − | 10.1423i | −0.472146 | − | 0.459120i | ||||
\(489\) | 7.85254 | + | 4.57044i | 0.355104 | + | 0.206683i | ||||
\(490\) | 42.0106 | − | 28.4996i | 1.89785 | − | 1.28748i | ||||
\(491\) | −5.01666 | − | 15.4397i | −0.226399 | − | 0.696784i | −0.998147 | − | 0.0608552i | \(-0.980617\pi\) |
0.771748 | − | 0.635929i | \(-0.219383\pi\) | |||||||
\(492\) | −10.6113 | + | 9.66685i | −0.478394 | + | 0.435815i | ||||
\(493\) | − | 7.65282i | − | 0.344666i | ||||||
\(494\) | −7.98700 | + | 8.06182i | −0.359352 | + | 0.362718i | ||||
\(495\) | 1.20013 | + | 3.59020i | 0.0539419 | + | 0.161367i | ||||
\(496\) | 0.311325 | + | 16.6929i | 0.0139789 | + | 0.749534i | ||||
\(497\) | −43.3194 | − | 31.4734i | −1.94314 | − | 1.41177i | ||||
\(498\) | 8.91514 | − | 23.3053i | 0.399497 | − | 1.04433i | ||||
\(499\) | − | 1.17377i | − | 0.0525453i | −0.999655 | − | 0.0262726i | \(-0.991636\pi\) | ||
0.999655 | − | 0.0262726i | \(-0.00836380\pi\) | |||||||
\(500\) | −20.8487 | + | 8.08273i | −0.932383 | + | 0.361471i | ||||
\(501\) | −37.9851 | − | 8.21326i | −1.69705 | − | 0.366942i | ||||
\(502\) | −1.01924 | + | 6.63530i | −0.0454910 | + | 0.296148i | ||||
\(503\) | 0.966260 | − | 1.32994i | 0.0430834 | − | 0.0592992i | −0.786932 | − | 0.617040i | \(-0.788332\pi\) |
0.830015 | + | 0.557741i | \(0.188332\pi\) | |||||||
\(504\) | 34.3224 | + | 21.9504i | 1.52884 | + | 0.977748i | ||||
\(505\) | −19.0240 | + | 17.6692i | −0.846557 | + | 0.786269i | ||||
\(506\) | −2.87172 | − | 2.84507i | −0.127663 | − | 0.126479i | ||||
\(507\) | −2.11820 | + | 9.79636i | −0.0940725 | + | 0.435072i | ||||
\(508\) | −12.9391 | + | 18.1628i | −0.574078 | + | 0.805845i | ||||
\(509\) | 12.1633 | − | 3.95210i | 0.539130 | − | 0.175174i | −0.0267795 | − | 0.999641i | \(-0.508525\pi\) |
0.565909 | + | 0.824467i | \(0.308525\pi\) | |||||||
\(510\) | −12.1578 | − | 30.1648i | −0.538356 | − | 1.33572i | ||||
\(511\) | 47.7551 | + | 15.5166i | 2.11256 | + | 0.686413i | ||||
\(512\) | −22.1807 | + | 4.47403i | −0.980257 | + | 0.197726i | ||||
\(513\) | −4.95248 | + | 14.7139i | −0.218657 | + | 0.649633i | ||||
\(514\) | −3.32397 | + | 21.6392i | −0.146614 | + | 0.954464i | ||||
\(515\) | −1.53609 | − | 12.7206i | −0.0676881 | − | 0.560539i | ||||
\(516\) | 11.1672 | − | 5.05001i | 0.491607 | − | 0.222314i | ||||
\(517\) | −0.756319 | − | 1.04098i | −0.0332629 | − | 0.0457824i | ||||
\(518\) | −7.18347 | − | 44.0253i | −0.315624 | − | 1.93436i | ||||
\(519\) | 1.09203 | + | 2.47606i | 0.0479348 | + | 0.108687i | ||||
\(520\) | 13.9674 | − | 9.66673i | 0.612512 | − | 0.423914i | ||||
\(521\) | 8.03203 | − | 11.0551i | 0.351890 | − | 0.484335i | −0.595977 | − | 0.803001i | \(-0.703235\pi\) |
0.947867 | + | 0.318667i | \(0.103235\pi\) | |||||||
\(522\) | 4.25754 | − | 3.43116i | 0.186348 | − | 0.150178i | ||||
\(523\) | 13.7451 | − | 42.3032i | 0.601033 | − | 1.84979i | 0.0789793 | − | 0.996876i | \(-0.474834\pi\) |
0.522054 | − | 0.852913i | \(-0.325166\pi\) | |||||||
\(524\) | −35.5553 | + | 11.9202i | −1.55324 | + | 0.520738i | ||||
\(525\) | −25.3534 | − | 32.9577i | −1.10651 | − | 1.43839i | ||||
\(526\) | −1.74325 | − | 10.6839i | −0.0760095 | − | 0.465839i | ||||
\(527\) | 23.5711 | + | 7.65871i | 1.02677 | + | 0.333619i | ||||
\(528\) | 0.754858 | − | 3.83606i | 0.0328510 | − | 0.166943i | ||||
\(529\) | 2.15041 | + | 1.56236i | 0.0934960 | + | 0.0679289i | ||||
\(530\) | 2.71765 | + | 0.0876582i | 0.118047 | + | 0.00380763i | ||||
\(531\) | −7.06767 | + | 1.45057i | −0.306711 | + | 0.0629492i | ||||
\(532\) | −9.12005 | − | 27.2030i | −0.395404 | − | 1.17940i | ||||
\(533\) | −9.00368 | + | 6.54155i | −0.389992 | + | 0.283346i | ||||
\(534\) | −6.48655 | − | 24.0966i | −0.280701 | − | 1.04276i | ||||
\(535\) | −10.6396 | + | 9.88191i | −0.459991 | + | 0.427232i | ||||
\(536\) | 5.30973 | + | 30.7358i | 0.229346 | + | 1.32758i | ||||
\(537\) | 22.5316 | − | 2.28834i | 0.972312 | − | 0.0987494i | ||||
\(538\) | 5.63146 | − | 2.90252i | 0.242789 | − | 0.125137i | ||||
\(539\) | 2.79939 | − | 8.61565i | 0.120578 | − | 0.371102i | ||||
\(540\) | 11.3308 | − | 20.2883i | 0.487599 | − | 0.873068i | ||||
\(541\) | 4.31405 | + | 13.2773i | 0.185475 | + | 0.570835i | 0.999956 | − | 0.00935592i | \(-0.00297813\pi\) |
−0.814481 | + | 0.580190i | \(0.802978\pi\) | |||||||
\(542\) | −0.554579 | − | 0.549432i | −0.0238212 | − | 0.0236001i | ||||
\(543\) | −1.94462 | + | 8.99358i | −0.0834516 | + | 0.385952i | ||||
\(544\) | −4.47984 | + | 33.2892i | −0.192072 | + | 1.42726i | ||||
\(545\) | −8.26297 | + | 14.8367i | −0.353947 | + | 0.635536i | ||||
\(546\) | 24.5709 | + | 19.8501i | 1.05154 | + | 0.849506i | ||||
\(547\) | −4.50647 | − | 3.27414i | −0.192683 | − | 0.139992i | 0.487261 | − | 0.873256i | \(-0.337996\pi\) |
−0.679944 | + | 0.733264i | \(0.737996\pi\) | |||||||
\(548\) | −0.0206595 | − | 2.21568i | −0.000882532 | − | 0.0946492i | ||||
\(549\) | −14.0524 | − | 6.37493i | −0.599740 | − | 0.272076i | ||||
\(550\) | −2.05286 | + | 3.42167i | −0.0875342 | + | 0.145901i | ||||
\(551\) | −3.85075 | −0.164047 | ||||||||
\(552\) | −1.03894 | + | 24.7934i | −0.0442202 | + | 1.05528i | ||||
\(553\) | −27.5665 | + | 37.9420i | −1.17225 | + | 1.61346i | ||||
\(554\) | −4.74137 | + | 9.41371i | −0.201442 | + | 0.399950i | ||||
\(555\) | −24.8222 | + | 5.58691i | −1.05364 | + | 0.237151i | ||||
\(556\) | −21.1374 | − | 15.0582i | −0.896427 | − | 0.638608i | ||||
\(557\) | −10.5246 | −0.445943 | −0.222971 | − | 0.974825i | \(-0.571576\pi\) | ||||
−0.222971 | + | 0.974825i | \(0.571576\pi\) | |||||||
\(558\) | 6.30734 | + | 16.5472i | 0.267011 | + | 0.700501i | ||||
\(559\) | 9.03715 | − | 2.93635i | 0.382231 | − | 0.124194i | ||||
\(560\) | 5.94256 | + | 42.5319i | 0.251119 | + | 1.79730i | ||||
\(561\) | −5.01590 | − | 2.91942i | −0.211772 | − | 0.123258i | ||||
\(562\) | 16.7154 | − | 8.61529i | 0.705095 | − | 0.363414i | ||||
\(563\) | 37.8984 | − | 12.3139i | 1.59723 | − | 0.518971i | 0.630808 | − | 0.775939i | \(-0.282724\pi\) |
0.966420 | + | 0.256969i | \(0.0827237\pi\) | |||||||
\(564\) | −1.59727 | + | 7.73564i | −0.0672574 | + | 0.325729i | ||||
\(565\) | 2.53491 | − | 4.55161i | 0.106644 | − | 0.191488i | ||||
\(566\) | 13.2912 | + | 25.7876i | 0.558672 | + | 1.08393i | ||||
\(567\) | 42.1381 | + | 9.57616i | 1.76964 | + | 0.402161i | ||||
\(568\) | 27.9020 | − | 14.7119i | 1.17074 | − | 0.617296i | ||||
\(569\) | −1.50392 | − | 2.06997i | −0.0630475 | − | 0.0867775i | 0.776329 | − | 0.630328i | \(-0.217080\pi\) |
−0.839376 | + | 0.543551i | \(0.817080\pi\) | |||||||
\(570\) | −15.1783 | + | 6.11755i | −0.635749 | + | 0.256236i | ||||
\(571\) | −8.21134 | + | 11.3019i | −0.343634 | + | 0.472971i | −0.945498 | − | 0.325627i | \(-0.894425\pi\) |
0.601865 | + | 0.798598i | \(0.294425\pi\) | |||||||
\(572\) | 0.909770 | − | 2.89144i | 0.0380394 | − | 0.120897i | ||||
\(573\) | −13.3116 | − | 7.74781i | −0.556101 | − | 0.323669i | ||||
\(574\) | −4.53109 | − | 27.7696i | −0.189124 | − | 1.15908i | ||||
\(575\) | 9.58145 | − | 23.4446i | 0.399574 | − | 0.977706i | ||||
\(576\) | −20.5285 | + | 12.4330i | −0.855355 | + | 0.518042i | ||||
\(577\) | 29.2067 | + | 9.48983i | 1.21589 | + | 0.395067i | 0.845584 | − | 0.533843i | \(-0.179253\pi\) |
0.370306 | + | 0.928910i | \(0.379253\pi\) | |||||||
\(578\) | 23.0602 | + | 11.6147i | 0.959178 | + | 0.483106i | ||||
\(579\) | 2.71976 | + | 3.04198i | 0.113029 | + | 0.126420i | ||||
\(580\) | 5.66583 | + | 1.05832i | 0.235261 | + | 0.0439443i | ||||
\(581\) | 28.7488 | + | 39.5694i | 1.19270 | + | 1.64161i | ||||
\(582\) | −29.4761 | − | 1.51060i | −1.22183 | − | 0.0626162i | ||||
\(583\) | 0.392546 | − | 0.285202i | 0.0162576 | − | 0.0118118i | ||||
\(584\) | −20.6213 | + | 21.2063i | −0.853315 | + | 0.877524i | ||||
\(585\) | 10.4665 | − | 14.6647i | 0.432737 | − | 0.606311i | ||||
\(586\) | −1.06349 | + | 6.92337i | −0.0439324 | + | 0.286002i | ||||
\(587\) | −16.8163 | + | 5.46395i | −0.694083 | + | 0.225521i | −0.634751 | − | 0.772717i | \(-0.718897\pi\) |
−0.0593322 | + | 0.998238i | \(0.518897\pi\) | |||||||
\(588\) | −50.6704 | + | 22.9141i | −2.08961 | + | 0.944961i | ||||
\(589\) | 3.85371 | − | 11.8605i | 0.158789 | − | 0.488703i | ||||
\(590\) | −6.00548 | − | 4.66630i | −0.247242 | − | 0.192108i | ||||
\(591\) | 31.5228 | − | 3.20150i | 1.29668 | − | 0.131692i | ||||
\(592\) | 25.1385 | + | 7.65279i | 1.03319 | + | 0.314528i | ||||
\(593\) | −28.9571 | −1.18913 | −0.594564 | − | 0.804049i | \(-0.702675\pi\) | ||||
−0.594564 | + | 0.804049i | \(0.702675\pi\) | |||||||
\(594\) | −0.624712 | − | 4.09946i | −0.0256322 | − | 0.168203i | ||||
\(595\) | 62.5540 | + | 12.2891i | 2.56446 | + | 0.503805i | ||||
\(596\) | −1.39473 | + | 4.43276i | −0.0571305 | + | 0.181573i | ||||
\(597\) | 23.4112 | + | 26.1848i | 0.958157 | + | 1.07167i | ||||
\(598\) | −2.92111 | + | 19.0165i | −0.119453 | + | 0.777644i | ||||
\(599\) | 9.07607 | 0.370838 | 0.185419 | − | 0.982660i | \(-0.440636\pi\) | ||||
0.185419 | + | 0.982660i | \(0.440636\pi\) | |||||||
\(600\) | 24.0141 | − | 4.82960i | 0.980370 | − | 0.197168i | ||||
\(601\) | 24.3672 | 0.993957 | 0.496979 | − | 0.867763i | \(-0.334443\pi\) | ||||
0.496979 | + | 0.867763i | \(0.334443\pi\) | |||||||
\(602\) | −3.64747 | + | 23.7451i | −0.148660 | + | 0.967780i | ||||
\(603\) | 16.3403 | + | 28.7661i | 0.665428 | + | 1.17145i | ||||
\(604\) | 2.43342 | − | 7.73393i | 0.0990145 | − | 0.314689i | ||||
\(605\) | −2.86341 | − | 23.7124i | −0.116414 | − | 0.964047i | ||||
\(606\) | 23.8354 | − | 15.5181i | 0.968245 | − | 0.630379i | ||||
\(607\) | −7.24828 | −0.294199 | −0.147099 | − | 0.989122i | \(-0.546994\pi\) | ||||
−0.147099 | + | 0.989122i | \(0.546994\pi\) | |||||||
\(608\) | 16.7504 | + | 2.25416i | 0.679320 | + | 0.0914184i | ||||
\(609\) | 1.08299 | + | 10.6634i | 0.0438850 | + | 0.432103i | ||||
\(610\) | −4.52498 | − | 15.6234i | −0.183211 | − | 0.632572i | ||||
\(611\) | −1.89244 | + | 5.82435i | −0.0765601 | + | 0.235628i | ||||
\(612\) | 7.48782 | + | 34.8311i | 0.302677 | + | 1.40796i | ||||
\(613\) | −15.3537 | + | 4.98872i | −0.620130 | + | 0.201493i | −0.602198 | − | 0.798347i | \(-0.705708\pi\) |
−0.0179323 | + | 0.999839i | \(0.505708\pi\) | |||||||
\(614\) | −6.65046 | + | 43.2947i | −0.268391 | + | 1.74723i | ||||
\(615\) | −15.6570 | + | 3.52403i | −0.631350 | + | 0.142103i | ||||
\(616\) | 5.49417 | + | 5.34260i | 0.221366 | + | 0.215259i | ||||
\(617\) | 34.4349 | − | 25.0184i | 1.38630 | − | 1.00720i | 0.390035 | − | 0.920800i | \(-0.372463\pi\) |
0.996260 | − | 0.0864025i | \(-0.0275371\pi\) | |||||||
\(618\) | −0.718375 | + | 14.0176i | −0.0288973 | + | 0.563871i | ||||
\(619\) | −12.4072 | − | 17.0771i | −0.498689 | − | 0.686387i | 0.483272 | − | 0.875470i | \(-0.339448\pi\) |
−0.981961 | + | 0.189084i | \(0.939448\pi\) | |||||||
\(620\) | −8.92987 | + | 16.3919i | −0.358632 | + | 0.658316i | ||||
\(621\) | 7.86979 | + | 25.1164i | 0.315804 | + | 1.00789i | ||||
\(622\) | −33.1850 | − | 16.7142i | −1.33060 | − | 0.670177i | ||||
\(623\) | 46.5206 | + | 15.1155i | 1.86381 | + | 0.605589i | ||||
\(624\) | −16.8823 | + | 7.82491i | −0.675833 | + | 0.313247i | ||||
\(625\) | −24.7281 | − | 3.67721i | −0.989123 | − | 0.147088i | ||||
\(626\) | −3.40843 | − | 20.8892i | −0.136228 | − | 0.834900i | ||||
\(627\) | −1.46899 | + | 2.52390i | −0.0586660 | + | 0.100795i | ||||
\(628\) | −10.3052 | + | 32.7523i | −0.411224 | + | 1.30696i | ||||
\(629\) | 22.9282 | − | 31.5579i | 0.914206 | − | 1.25830i | ||||
\(630\) | 21.2094 | + | 40.3109i | 0.845002 | + | 1.60602i | ||||
\(631\) | 17.2994 | + | 23.8106i | 0.688678 | + | 0.947884i | 0.999997 | − | 0.00242177i | \(-0.000770875\pi\) |
−0.311319 | + | 0.950305i | \(0.600771\pi\) | |||||||
\(632\) | −12.8856 | − | 24.4384i | −0.512563 | − | 0.972107i | ||||
\(633\) | −37.3778 | + | 16.4849i | −1.48563 | + | 0.655216i | ||||
\(634\) | −14.9186 | − | 28.9450i | −0.592493 | − | 1.14955i | ||||
\(635\) | −22.6176 | + | 10.4918i | −0.897554 | + | 0.416353i | ||||
\(636\) | −2.91704 | − | 0.602319i | −0.115668 | − | 0.0238835i | ||||
\(637\) | −41.0055 | + | 13.3235i | −1.62470 | + | 0.527896i | ||||
\(638\) | 0.914258 | − | 0.471220i | 0.0361958 | − | 0.0186558i | ||||
\(639\) | 22.5604 | − | 24.7054i | 0.892477 | − | 0.977329i | ||||
\(640\) | −24.0264 | − | 7.92030i | −0.949728 | − | 0.313077i | ||||
\(641\) | −39.7668 | + | 12.9210i | −1.57069 | + | 0.510349i | −0.959638 | − | 0.281238i | \(-0.909255\pi\) |
−0.611056 | + | 0.791588i | \(0.709255\pi\) | |||||||
\(642\) | 13.3305 | − | 8.67886i | 0.526112 | − | 0.342527i | ||||
\(643\) | −2.95464 | −0.116520 | −0.0582598 | − | 0.998301i | \(-0.518555\pi\) | ||||
−0.0582598 | + | 0.998301i | \(0.518555\pi\) | |||||||
\(644\) | −39.6169 | − | 28.2228i | −1.56112 | − | 1.11213i | ||||
\(645\) | 13.6436 | + | 1.26938i | 0.537218 | + | 0.0499819i | ||||
\(646\) | 11.2860 | − | 22.4076i | 0.444041 | − | 0.881617i | ||||
\(647\) | −1.40305 | + | 1.93113i | −0.0551595 | + | 0.0759205i | −0.835706 | − | 0.549178i | \(-0.814941\pi\) |
0.780546 | + | 0.625098i | \(0.214941\pi\) | |||||||
\(648\) | −16.0206 | + | 19.7823i | −0.629348 | + | 0.777124i | ||||
\(649\) | −1.35715 | −0.0532729 | ||||||||
\(650\) | 18.9179 | − | 1.66774i | 0.742021 | − | 0.0654143i | ||||
\(651\) | −33.9277 | − | 7.33594i | −1.32973 | − | 0.287518i | ||||
\(652\) | −0.0978197 | − | 10.4909i | −0.00383091 | − | 0.410855i | ||||
\(653\) | 4.94007 | + | 3.58917i | 0.193320 | + | 0.140455i | 0.680235 | − | 0.732994i | \(-0.261878\pi\) |
−0.486915 | + | 0.873449i | \(0.661878\pi\) | |||||||
\(654\) | 11.6908 | − | 14.4711i | 0.457145 | − | 0.565865i | ||||
\(655\) | −41.1402 | − | 8.08224i | −1.60748 | − | 0.315799i | ||||
\(656\) | 15.8565 | + | 4.82712i | 0.619093 | + | 0.188467i | ||||
\(657\) | −12.9615 | + | 28.5712i | −0.505676 | + | 1.11467i | ||||
\(658\) | −10.9990 | − | 10.8970i | −0.428787 | − | 0.424808i | ||||
\(659\) | 6.20420 | + | 19.0946i | 0.241681 | + | 0.743818i | 0.996165 | + | 0.0874991i | \(0.0278875\pi\) |
−0.754483 | + | 0.656319i | \(0.772113\pi\) | |||||||
\(660\) | 2.85508 | − | 3.30984i | 0.111134 | − | 0.128835i | ||||
\(661\) | −7.04646 | + | 21.6868i | −0.274076 | + | 0.843518i | 0.715387 | + | 0.698728i | \(0.246250\pi\) |
−0.989463 | + | 0.144789i | \(0.953750\pi\) | |||||||
\(662\) | 23.5692 | − | 12.1479i | 0.916044 | − | 0.472140i | ||||
\(663\) | 2.79097 | + | 27.4807i | 0.108392 | + | 1.06726i | ||||
\(664\) | −28.3918 | + | 4.90480i | −1.10182 | + | 0.190343i | ||||
\(665\) | 6.18363 | − | 31.4759i | 0.239791 | − | 1.22058i | ||||
\(666\) | 27.8367 | − | 1.39331i | 1.07865 | − | 0.0539895i | ||||
\(667\) | −5.28160 | + | 3.83731i | −0.204504 | + | 0.148581i | ||||
\(668\) | 14.2645 | + | 42.5476i | 0.551909 | + | 1.64621i | ||||
\(669\) | −2.37192 | − | 5.37808i | −0.0917038 | − | 0.207929i | ||||
\(670\) | −11.8399 | + | 32.8012i | −0.457414 | + | 1.26722i | ||||
\(671\) | −2.34822 | − | 1.70608i | −0.0906520 | − | 0.0658625i | ||||
\(672\) | 1.53126 | − | 47.0190i | 0.0590696 | − | 1.81380i | ||||
\(673\) | 40.7939 | + | 13.2547i | 1.57249 | + | 0.510933i | 0.960108 | − | 0.279630i | \(-0.0902117\pi\) |
0.612381 | + | 0.790562i | \(0.290212\pi\) | |||||||
\(674\) | −4.60401 | − | 28.2165i | −0.177340 | − | 1.08686i | ||||
\(675\) | 22.2304 | − | 13.4465i | 0.855650 | − | 0.517554i | ||||
\(676\) | 10.9730 | − | 3.67881i | 0.422039 | − | 0.141493i | ||||
\(677\) | 6.19398 | − | 19.0631i | 0.238054 | − | 0.732655i | −0.758647 | − | 0.651501i | \(-0.774139\pi\) |
0.996702 | − | 0.0811540i | \(-0.0258605\pi\) | |||||||
\(678\) | −3.58649 | + | 4.43943i | −0.137738 | + | 0.170495i | ||||
\(679\) | 34.0056 | − | 46.8047i | 1.30502 | − | 1.79620i | ||||
\(680\) | −22.7642 | + | 29.8679i | −0.872966 | + | 1.14538i | ||||
\(681\) | 43.2134 | − | 19.0586i | 1.65594 | − | 0.730327i | ||||
\(682\) | 0.536419 | + | 3.28754i | 0.0205405 | + | 0.125887i | ||||
\(683\) | −1.21078 | − | 1.66649i | −0.0463292 | − | 0.0637666i | 0.785224 | − | 0.619212i | \(-0.212548\pi\) |
−0.831553 | + | 0.555445i | \(0.812548\pi\) | |||||||
\(684\) | 17.5263 | − | 3.76772i | 0.670134 | − | 0.144062i | ||||
\(685\) | 1.20536 | − | 2.16430i | 0.0460543 | − | 0.0826937i | ||||
\(686\) | 9.33355 | − | 60.7618i | 0.356357 | − | 2.31989i | ||||
\(687\) | 5.55439 | − | 0.564111i | 0.211913 | − | 0.0215222i | ||||
\(688\) | −11.6023 | − | 8.10337i | −0.442333 | − | 0.308938i | ||||
\(689\) | −2.19631 | − | 0.713625i | −0.0836728 | − | 0.0271869i | ||||
\(690\) | −14.7220 | + | 23.5160i | −0.560458 | + | 0.895240i | ||||
\(691\) | −2.85791 | + | 0.928592i | −0.108720 | + | 0.0353253i | −0.362872 | − | 0.931839i | \(-0.618204\pi\) |
0.254152 | + | 0.967164i | \(0.418204\pi\) | |||||||
\(692\) | 1.81308 | − | 2.54505i | 0.0689228 | − | 0.0967484i | ||||
\(693\) | 7.40227 | + | 3.35808i | 0.281189 | + | 0.127563i | ||||
\(694\) | −12.0580 | − | 11.9461i | −0.457716 | − | 0.453468i | ||||
\(695\) | −12.2101 | − | 26.3218i | −0.463154 | − | 0.998444i | ||||
\(696\) | −5.91798 | − | 2.20082i | −0.224320 | − | 0.0834218i | ||||
\(697\) | 14.4623 | − | 19.9057i | 0.547799 | − | 0.753981i | ||||
\(698\) | 4.15746 | − | 27.0652i | 0.157362 | − | 1.02443i | ||||
\(699\) | −4.11462 | + | 19.0295i | −0.155629 | + | 0.719763i | ||||
\(700\) | −17.7490 | + | 44.6129i | −0.670850 | + | 1.68621i | ||||
\(701\) | − | 16.4366i | − | 0.620802i | −0.950606 | − | 0.310401i | \(-0.899537\pi\) | ||
0.950606 | − | 0.310401i | \(-0.100463\pi\) | |||||||
\(702\) | −14.0371 | + | 13.8737i | −0.529797 | + | 0.523630i | ||||
\(703\) | −15.8793 | − | 11.5370i | −0.598899 | − | 0.435126i | ||||
\(704\) | −4.25280 | + | 1.51458i | −0.160283 | + | 0.0570828i | ||||
\(705\) | −5.83036 | + | 6.63296i | −0.219584 | + | 0.249812i | ||||
\(706\) | 0.734257 | − | 0.741135i | 0.0276341 | − | 0.0278930i | ||||
\(707\) | 55.7505i | 2.09671i | ||||||||
\(708\) | 5.61056 | + | 6.15871i | 0.210858 | + | 0.231459i | ||||
\(709\) | −9.80113 | − | 30.1648i | −0.368089 | − | 1.13286i | −0.948024 | − | 0.318199i | \(-0.896922\pi\) |
0.579934 | − | 0.814663i | \(-0.303078\pi\) | |||||||
\(710\) | 35.2478 | + | 1.13692i | 1.32283 | + | 0.0426680i | ||||
\(711\) | −21.6386 | − | 19.7599i | −0.811511 | − | 0.741055i | ||||
\(712\) | −20.0882 | + | 20.6582i | −0.752839 | + | 0.774197i | ||||
\(713\) | −6.53344 | − | 20.1079i | −0.244679 | − | 0.753045i | ||||
\(714\) | −65.2249 | − | 24.9510i | −2.44098 | − | 0.933766i | ||||
\(715\) | 2.48316 | − | 2.30632i | 0.0928648 | − | 0.0862513i | ||||
\(716\) | −15.5678 | − | 21.0125i | −0.581798 | − | 0.785273i | ||||
\(717\) | −2.55427 | − | 5.79153i | −0.0953908 | − | 0.216289i | ||||
\(718\) | 45.0006 | − | 7.34261i | 1.67941 | − | 0.274024i | ||||
\(719\) | −20.2701 | + | 14.7271i | −0.755945 | + | 0.549226i | −0.897664 | − | 0.440680i | \(-0.854737\pi\) |
0.141719 | + | 0.989907i | \(0.454737\pi\) | |||||||
\(720\) | −26.8230 | + | 0.726840i | −0.999633 | + | 0.0270877i | ||||
\(721\) | −22.2584 | − | 16.1716i | −0.828944 | − | 0.602263i | ||||
\(722\) | 12.7229 | + | 6.40812i | 0.473499 | + | 0.238486i | ||||
\(723\) | 25.2241 | + | 14.6813i | 0.938095 | + | 0.546003i | ||||
\(724\) | 10.0738 | − | 3.37734i | 0.374390 | − | 0.125518i | ||||
\(725\) | 4.91991 | + | 4.16193i | 0.182721 | + | 0.154570i | ||||
\(726\) | −1.33912 | + | 26.1301i | −0.0496993 | + | 0.969778i | ||||
\(727\) | 2.99029 | − | 9.20317i | 0.110904 | − | 0.341327i | −0.880167 | − | 0.474664i | \(-0.842569\pi\) |
0.991071 | + | 0.133338i | \(0.0425695\pi\) | |||||||
\(728\) | 5.20138 | − | 36.1011i | 0.192776 | − | 1.33799i | ||||
\(729\) | −8.88165 | + | 25.4974i | −0.328950 | + | 0.944347i | ||||
\(730\) | −31.7654 | + | 9.20018i | −1.17569 | + | 0.340514i | ||||
\(731\) | −16.9957 | + | 12.3481i | −0.628610 | + | 0.456712i | ||||
\(732\) | 1.96555 | + | 17.7092i | 0.0726490 | + | 0.654550i | ||||
\(733\) | −21.6014 | − | 29.7317i | −0.797865 | − | 1.09817i | −0.993084 | − | 0.117407i | \(-0.962542\pi\) |
0.195219 | − | 0.980760i | \(-0.437458\pi\) | |||||||
\(734\) | 9.84778 | + | 19.1066i | 0.363488 | + | 0.705238i | ||||
\(735\) | −61.9072 | − | 5.75974i | −2.28348 | − | 0.212451i | ||||
\(736\) | 25.2209 | − | 13.6002i | 0.929653 | − | 0.501311i | ||||
\(737\) | 1.92301 | + | 5.91843i | 0.0708351 | + | 0.218008i | ||||
\(738\) | 17.5584 | − | 0.878850i | 0.646335 | − | 0.0323509i | ||||
\(739\) | −21.8513 | − | 7.09993i | −0.803814 | − | 0.261175i | −0.121838 | − | 0.992550i | \(-0.538879\pi\) |
−0.681976 | + | 0.731375i | \(0.738879\pi\) | |||||||
\(740\) | 20.1934 | + | 21.3393i | 0.742325 | + | 0.784447i | ||||
\(741\) | 13.8277 | − | 1.40436i | 0.507973 | − | 0.0515905i | ||||
\(742\) | 4.10915 | − | 4.14764i | 0.150852 | − | 0.152265i | ||||
\(743\) | 42.5075i | 1.55945i | 0.626122 | + | 0.779725i | \(0.284641\pi\) | ||||
−0.626122 | + | 0.779725i | \(0.715359\pi\) | |||||||
\(744\) | 12.7012 | − | 16.0252i | 0.465647 | − | 0.587511i | ||||
\(745\) | −3.80683 | + | 3.53572i | −0.139471 | + | 0.129539i | ||||
\(746\) | −7.52513 | + | 14.9407i | −0.275515 | + | 0.547018i | ||||
\(747\) | −26.5723 | + | 15.0942i | −0.972231 | + | 0.552266i | ||||
\(748\) | 0.0624835 | + | 6.70118i | 0.00228462 | + | 0.245020i | ||||
\(749\) | 31.1798i | 1.13928i | ||||||||
\(750\) | 26.0045 | + | 8.58878i | 0.949549 | + | 0.313618i | ||||
\(751\) | 3.91664i | 0.142920i | 0.997443 | + | 0.0714601i | \(0.0227659\pi\) | ||||
−0.997443 | + | 0.0714601i | \(0.977234\pi\) | |||||||
\(752\) | 8.62031 | − | 2.97973i | 0.314350 | − | 0.108660i | ||||
\(753\) | 6.12928 | − | 5.48005i | 0.223364 | − | 0.199704i | ||||
\(754\) | −4.37206 | − | 2.20206i | −0.159221 | − | 0.0801945i | ||||
\(755\) | 6.64186 | − | 6.16885i | 0.241722 | − | 0.224508i | ||||
\(756\) | −15.3626 | − | 47.4738i | −0.558733 | − | 1.72660i | ||||
\(757\) | − | 49.1067i | − | 1.78481i | −0.451232 | − | 0.892407i | \(-0.649015\pi\) | ||
0.451232 | − | 0.892407i | \(-0.350985\pi\) | |||||||
\(758\) | −0.955527 | − | 0.946659i | −0.0347063 | − | 0.0343842i | ||||
\(759\) | 0.500250 | + | 4.92560i | 0.0181579 | + | 0.178788i | ||||
\(760\) | 15.0289 | + | 11.4545i | 0.545157 | + | 0.415497i | ||||
\(761\) | 19.9746 | + | 6.49015i | 0.724079 | + | 0.235268i | 0.647791 | − | 0.761818i | \(-0.275693\pi\) |
0.0762884 | + | 0.997086i | \(0.475693\pi\) | |||||||
\(762\) | 26.3735 | − | 7.09945i | 0.955410 | − | 0.257186i | ||||
\(763\) | 11.2685 | + | 34.6809i | 0.407948 | + | 1.25553i | ||||
\(764\) | 0.165824 | + | 17.7842i | 0.00599929 | + | 0.643408i | ||||
\(765\) | −11.9885 | + | 37.9850i | −0.433444 | + | 1.37335i | ||||
\(766\) | −18.1923 | + | 9.37651i | −0.657313 | + | 0.338787i | ||||
\(767\) | 3.79666 | + | 5.22566i | 0.137090 | + | 0.188688i | ||||
\(768\) | 24.4544 | + | 13.0377i | 0.882423 | + | 0.470457i | ||||
\(769\) | −11.5612 | + | 8.39967i | −0.416906 | + | 0.302900i | −0.776392 | − | 0.630251i | \(-0.782952\pi\) |
0.359486 | + | 0.933151i | \(0.382952\pi\) | |||||||
\(770\) | 2.38360 | + | 8.22982i | 0.0858989 | + | 0.296582i | ||||
\(771\) | 19.9890 | − | 17.8717i | 0.719885 | − | 0.643632i | ||||
\(772\) | 1.41418 | − | 4.49456i | 0.0508974 | − | 0.161763i | ||||
\(773\) | −6.00272 | + | 18.4745i | −0.215903 | + | 0.664481i | 0.783185 | + | 0.621788i | \(0.213594\pi\) |
−0.999088 | + | 0.0426924i | \(0.986406\pi\) | |||||||
\(774\) | −14.4898 | − | 3.91903i | −0.520824 | − | 0.140866i | ||||
\(775\) | −17.7426 | + | 10.9884i | −0.637335 | + | 0.394716i | ||||
\(776\) | 15.8955 | + | 30.1468i | 0.570616 | + | 1.08221i | ||||
\(777\) | −27.4821 | + | 47.2173i | −0.985914 | + | 1.69391i | ||||
\(778\) | 10.0559 | − | 19.9654i | 0.360522 | − | 0.715795i | ||||
\(779\) | −10.0161 | − | 7.27714i | −0.358865 | − | 0.260731i | ||||
\(780\) | −20.7315 | − | 1.73401i | −0.742307 | − | 0.0620877i | ||||
\(781\) | 5.09131 | − | 3.69905i | 0.182181 | − | 0.132363i | ||||
\(782\) | −6.84982 | − | 41.9804i | −0.244949 | − | 1.50122i | ||||
\(783\) | −6.69659 | − | 0.0704250i | −0.239317 | − | 0.00251679i | ||||
\(784\) | 52.6447 | + | 36.7686i | 1.88017 | + | 1.31316i | ||||
\(785\) | −28.1275 | + | 26.1244i | −1.00391 | + | 0.932418i | ||||
\(786\) | 42.8967 | + | 16.4096i | 1.53008 | + | 0.585311i | ||||
\(787\) | 8.65208 | + | 26.6284i | 0.308413 | + | 0.949199i | 0.978381 | + | 0.206809i | \(0.0663078\pi\) |
−0.669968 | + | 0.742390i | \(0.733692\pi\) | |||||||
\(788\) | −21.7802 | − | 29.3975i | −0.775886 | − | 1.04724i | ||||
\(789\) | −6.66924 | + | 11.4585i | −0.237431 | + | 0.407934i | ||||
\(790\) | 0.995794 | − | 30.8724i | 0.0354288 | − | 1.09839i | ||||
\(791\) | −3.45695 | − | 10.6394i | −0.122915 | − | 0.378293i | ||||
\(792\) | −3.70009 | + | 3.03925i | −0.131477 | + | 0.107995i | ||||
\(793\) | 13.8145i | 0.490567i | ||||||||
\(794\) | 25.2681 | + | 25.0336i | 0.896731 | + | 0.888409i | ||||
\(795\) | −2.50123 | − | 2.19858i | −0.0887096 | − | 0.0779756i | ||||
\(796\) | 12.1730 | − | 38.6884i | 0.431460 | − | 1.37127i | ||||
\(797\) | 15.4481 | + | 11.2237i | 0.547198 | + | 0.397563i | 0.826751 | − | 0.562567i | \(-0.190186\pi\) |
−0.279553 | + | 0.960130i | \(0.590186\pi\) | |||||||
\(798\) | −12.5548 | + | 32.8198i | −0.444436 | + | 1.16181i | ||||
\(799\) | − | 13.5393i | − | 0.478988i | ||||||
\(800\) | −18.9649 | − | 20.9841i | −0.670510 | − | 0.741900i | ||||
\(801\) | −12.6264 | + | 27.8327i | −0.446134 | + | 0.983419i | ||||
\(802\) | 5.53875 | + | 0.850801i | 0.195580 | + | 0.0300428i | ||||
\(803\) | −3.46880 | + | 4.77439i | −0.122411 | + | 0.168485i | ||||
\(804\) | 18.9077 | − | 33.1937i | 0.666824 | − | 1.17065i | ||||
\(805\) | −22.8847 | − | 49.3337i | −0.806580 | − | 1.73879i | ||||
\(806\) | 11.1579 | − | 11.2624i | 0.393020 | − | 0.396702i | ||||
\(807\) | −7.58405 | − | 1.63985i | −0.266971 | − | 0.0577253i | ||||
\(808\) | −29.4679 | − | 14.4991i | −1.03668 | − | 0.510078i | ||||
\(809\) | 11.7542 | − | 3.81916i | 0.413255 | − | 0.134275i | −0.0950083 | − | 0.995476i | \(-0.530288\pi\) |
0.508263 | + | 0.861202i | \(0.330288\pi\) | |||||||
\(810\) | −26.5075 | + | 10.3611i | −0.931379 | + | 0.364051i | ||||
\(811\) | 15.7965 | + | 5.13260i | 0.554691 | + | 0.180230i | 0.572931 | − | 0.819604i | \(-0.305806\pi\) |
−0.0182401 | + | 0.999834i | \(0.505806\pi\) | |||||||
\(812\) | 9.94444 | − | 7.36769i | 0.348981 | − | 0.258555i | ||||
\(813\) | 0.0966071 | + | 0.951219i | 0.00338816 | + | 0.0333607i | ||||
\(814\) | 5.18192 | + | 0.795989i | 0.181626 | + | 0.0278994i | ||||
\(815\) | 5.70717 | − | 10.2476i | 0.199913 | − | 0.358959i | ||||
\(816\) | 30.1514 | − | 27.9867i | 1.05551 | − | 0.979729i | ||||
\(817\) | 6.21332 | + | 8.55191i | 0.217377 | + | 0.299193i | ||||
\(818\) | −33.0661 | + | 5.39530i | −1.15613 | + | 0.188642i | ||||
\(819\) | −7.77785 | − | 37.8964i | −0.271780 | − | 1.32421i | ||||
\(820\) | 12.7373 | + | 13.4601i | 0.444806 | + | 0.470046i | ||||
\(821\) | 11.7378 | − | 16.1557i | 0.409652 | − | 0.563837i | −0.553482 | − | 0.832861i | \(-0.686701\pi\) |
0.963133 | + | 0.269024i | \(0.0867011\pi\) | |||||||
\(822\) | −1.70539 | + | 2.11096i | −0.0594821 | + | 0.0736283i | ||||
\(823\) | −2.73172 | + | 8.40738i | −0.0952219 | + | 0.293063i | −0.987311 | − | 0.158796i | \(-0.949239\pi\) |
0.892090 | + | 0.451859i | \(0.149239\pi\) | |||||||
\(824\) | 14.3366 | − | 7.55924i | 0.499438 | − | 0.263339i | ||||
\(825\) | 4.60472 | − | 1.63696i | 0.160316 | − | 0.0569915i | ||||
\(826\) | −16.1173 | + | 2.62980i | −0.560791 | + | 0.0915026i | ||||
\(827\) | −1.98923 | − | 0.646341i | −0.0691724 | − | 0.0224755i | 0.274226 | − | 0.961665i | \(-0.411578\pi\) |
−0.343399 | + | 0.939190i | \(0.611578\pi\) | |||||||
\(828\) | 20.2841 | − | 22.6328i | 0.704921 | − | 0.786545i | ||||
\(829\) | 18.9700 | + | 13.7825i | 0.658856 | + | 0.478687i | 0.866276 | − | 0.499565i | \(-0.166507\pi\) |
−0.207421 | + | 0.978252i | \(0.566507\pi\) | |||||||
\(830\) | −30.2998 | − | 10.9369i | −1.05172 | − | 0.379626i | ||||
\(831\) | 11.8115 | − | 5.20928i | 0.409736 | − | 0.180708i | ||||
\(832\) | 17.7291 | + | 12.1381i | 0.614646 | + | 0.420815i | ||||
\(833\) | 77.1171 | − | 56.0288i | 2.67195 | − | 1.94128i | ||||
\(834\) | 8.26216 | + | 30.6928i | 0.286095 | + | 1.06280i | ||||
\(835\) | −9.67169 | + | 49.2308i | −0.334703 | + | 1.70370i | ||||
\(836\) | 3.37190 | − | 0.0314404i | 0.116620 | − | 0.00108739i | ||||
\(837\) | 6.91866 | − | 20.5554i | 0.239144 | − | 0.710497i | ||||
\(838\) | 9.80659 | + | 19.0267i | 0.338763 | + | 0.657267i | ||||
\(839\) | 16.7709 | − | 51.6157i | 0.578997 | − | 1.78197i | −0.0431484 | − | 0.999069i | \(-0.513739\pi\) |
0.622146 | − | 0.782902i | \(-0.286261\pi\) | |||||||
\(840\) | 27.4927 | − | 44.8393i | 0.948588 | − | 1.54710i | ||||
\(841\) | 8.44819 | + | 26.0009i | 0.291317 | + | 0.896581i | ||||
\(842\) | −4.78780 | + | 4.83265i | −0.164999 | + | 0.166544i | ||||
\(843\) | −22.5111 | − | 4.86741i | −0.775322 | − | 0.167643i | ||||
\(844\) | 38.4193 | + | 27.3696i | 1.32245 | + | 0.942100i | ||||
\(845\) | 12.6966 | + | 2.49433i | 0.436777 | + | 0.0858075i | ||||
\(846\) | 7.53242 | − | 6.07040i | 0.258970 | − | 0.208705i | ||||
\(847\) | −41.4916 | − | 30.1454i | −1.42567 | − | 1.03581i | ||||
\(848\) | 1.12363 | + | 3.25065i | 0.0385857 | + | 0.111628i | ||||
\(849\) | 7.50919 | − | 34.7289i | 0.257715 | − | 1.19189i | ||||
\(850\) | −38.6380 | + | 16.4311i | −1.32527 | + | 0.563582i | ||||
\(851\) | −33.2764 | −1.14070 | ||||||||
\(852\) | −37.8340 | − | 7.81205i | −1.29617 | − | 0.267637i | ||||
\(853\) | 29.5177 | − | 40.6277i | 1.01067 | − | 1.39106i | 0.0921232 | − | 0.995748i | \(-0.470635\pi\) |
0.918545 | − | 0.395317i | \(-0.129365\pi\) | |||||||
\(854\) | −31.1929 | − | 15.7108i | −1.06740 | − | 0.537613i | ||||
\(855\) | 19.1133 | + | 6.03236i | 0.653661 | + | 0.206302i | ||||
\(856\) | −16.4806 | − | 8.10898i | −0.563295 | − | 0.277159i | ||||
\(857\) | 7.41199 | 0.253189 | 0.126594 | − | 0.991955i | \(-0.459595\pi\) | ||||
0.126594 | + | 0.991955i | \(0.459595\pi\) | |||||||
\(858\) | −3.11117 | + | 2.02554i | −0.106214 | + | 0.0691507i | ||||
\(859\) | −26.2425 | + | 8.52671i | −0.895383 | + | 0.290928i | −0.720330 | − | 0.693632i | \(-0.756010\pi\) |
−0.175053 | + | 0.984559i | \(0.556010\pi\) | |||||||
\(860\) | −6.79167 | − | 14.2906i | −0.231594 | − | 0.487304i | ||||
\(861\) | −17.3348 | + | 29.7831i | −0.590767 | + | 1.01500i | ||||
\(862\) | −13.3412 | − | 25.8845i | −0.454402 | − | 0.881629i | ||||
\(863\) | 35.4613 | − | 11.5221i | 1.20712 | − | 0.392216i | 0.364742 | − | 0.931109i | \(-0.381157\pi\) |
0.842374 | + | 0.538893i | \(0.181157\pi\) | |||||||
\(864\) | 29.0884 | + | 4.22642i | 0.989609 | + | 0.143786i | ||||
\(865\) | 3.16928 | − | 1.47015i | 0.107759 | − | 0.0499866i | ||||
\(866\) | −30.6677 | + | 15.8065i | −1.04213 | + | 0.537127i | ||||
\(867\) | −12.7609 | − | 28.9339i | −0.433381 | − | 0.982646i | ||||
\(868\) | 12.7408 | + | 38.0027i | 0.432450 | + | 1.28990i | ||||
\(869\) | −3.23988 | − | 4.45931i | −0.109905 | − | 0.151272i | ||||
\(870\) | −4.53302 | − | 5.41150i | −0.153684 | − | 0.183467i | ||||
\(871\) | 17.4090 | − | 23.9614i | 0.589880 | − | 0.811901i | ||||
\(872\) | −21.2618 | − | 3.06337i | −0.720016 | − | 0.103739i | ||||
\(873\) | 26.6931 | + | 24.3756i | 0.903423 | + | 0.824987i | ||||
\(874\) | −21.1237 | + | 3.44669i | −0.714520 | + | 0.116586i | ||||
\(875\) | −41.9200 | + | 33.5319i | −1.41716 | + | 1.13358i | ||||
\(876\) | 36.0062 | − | 3.99636i | 1.21654 | − | 0.135024i | ||||
\(877\) | −29.1223 | − | 9.46241i | −0.983390 | − | 0.319523i | −0.227181 | − | 0.973853i | \(-0.572951\pi\) |
−0.756209 | + | 0.654330i | \(0.772951\pi\) | |||||||
\(878\) | −13.8453 | + | 27.4890i | −0.467256 | + | 0.927709i | ||||
\(879\) | 6.39538 | − | 5.71796i | 0.215711 | − | 0.192862i | ||||
\(880\) | −4.96992 | − | 0.880455i | −0.167536 | − | 0.0296801i | ||||
\(881\) | −18.0685 | − | 24.8691i | −0.608742 | − | 0.837861i | 0.387732 | − | 0.921772i | \(-0.373259\pi\) |
−0.996473 | + | 0.0839114i | \(0.973259\pi\) | |||||||
\(882\) | 65.7465 | + | 17.7823i | 2.21380 | + | 0.598762i | ||||
\(883\) | 29.1794 | − | 21.2001i | 0.981965 | − | 0.713439i | 0.0238178 | − | 0.999716i | \(-0.492418\pi\) |
0.958147 | + | 0.286277i | \(0.0924178\pi\) | |||||||
\(884\) | 25.6278 | − | 18.9873i | 0.861956 | − | 0.638611i | ||||
\(885\) | 2.04532 | + | 9.08718i | 0.0687526 | + | 0.305462i | ||||
\(886\) | 17.7075 | + | 2.72004i | 0.594896 | + | 0.0913814i | ||||
\(887\) | 25.8746 | − | 8.40716i | 0.868783 | − | 0.282285i | 0.159491 | − | 0.987199i | \(-0.449015\pi\) |
0.709292 | + | 0.704915i | \(0.249015\pi\) | |||||||
\(888\) | −17.8102 | − | 26.8060i | −0.597671 | − | 0.899551i | ||||
\(889\) | −16.5437 | + | 50.9163i | −0.554858 | + | 1.70768i | ||||
\(890\) | −30.9443 | + | 8.96236i | −1.03725 | + | 0.300419i | ||||
\(891\) | −2.60080 | + | 4.36229i | −0.0871300 | + | 0.146142i | ||||
\(892\) | −3.93806 | + | 5.52793i | −0.131856 | + | 0.185089i | ||||
\(893\) | −6.81272 | −0.227979 | ||||||||
\(894\) | 4.76961 | − | 3.10527i | 0.159520 | − | 0.103856i | ||||
\(895\) | −3.50517 | − | 29.0270i | −0.117165 | − | 0.970265i | ||||
\(896\) | −47.5705 | + | 26.2276i | −1.58922 | + | 0.876202i | ||||
\(897\) | 17.5663 | − | 15.7056i | 0.586522 | − | 0.524396i | ||||
\(898\) | −43.9946 | − | 6.75796i | −1.46812 | − | 0.225516i | ||||
\(899\) | 5.37952 | 0.179417 | ||||||||
\(900\) | −26.4646 | − | 14.1288i | −0.882155 | − | 0.470959i | ||||
\(901\) | 5.10557 | 0.170091 | ||||||||
\(902\) | 3.26858 | + | 0.502083i | 0.108832 | + | 0.0167175i | ||||
\(903\) | 21.9343 | − | 19.6110i | 0.729928 | − | 0.652612i | ||||
\(904\) | 6.52269 | + | 0.939778i | 0.216941 | + | 0.0312566i | ||||
\(905\) | 11.6562 | + | 2.28993i | 0.387464 | + | 0.0761197i | ||||
\(906\) | −8.32165 | + | 5.41784i | −0.276468 | + | 0.179996i | ||||
\(907\) | −32.1608 | −1.06788 | −0.533941 | − | 0.845521i | \(-0.679290\pi\) | ||||
−0.533941 | + | 0.845521i | \(0.679290\pi\) | |||||||
\(908\) | −44.4174 | − | 31.6426i | −1.47404 | − | 1.05010i | ||||
\(909\) | −34.6167 | − | 3.88392i | −1.14816 | − | 0.128822i | ||||
\(910\) | 25.0204 | − | 32.2010i | 0.829418 | − | 1.06745i | ||||
\(911\) | 11.8110 | − | 36.3505i | 0.391315 | − | 1.20434i | −0.540479 | − | 0.841357i | \(-0.681757\pi\) |
0.931794 | − | 0.362987i | \(-0.118243\pi\) | |||||||
\(912\) | −14.0823 | − | 15.1716i | −0.466312 | − | 0.502381i | ||||
\(913\) | −5.46708 | + | 1.77636i | −0.180934 | + | 0.0587890i | ||||
\(914\) | 17.3708 | + | 2.66831i | 0.574574 | + | 0.0882598i | ||||
\(915\) | −7.88459 | + | 18.2943i | −0.260657 | + | 0.604790i | ||||
\(916\) | −3.83771 | − | 5.17989i | −0.126801 | − | 0.171148i | ||||
\(917\) | −72.8332 | + | 52.9164i | −2.40516 | + | 1.74745i | ||||
\(918\) | 20.0366 | − | 38.7613i | 0.661305 | − | 1.27931i | ||||
\(919\) | −20.4416 | − | 28.1354i | −0.674305 | − | 0.928101i | 0.325543 | − | 0.945527i | \(-0.394453\pi\) |
−0.999848 | + | 0.0174260i | \(0.994453\pi\) | |||||||
\(920\) | 32.0278 | + | 0.734208i | 1.05593 | + | 0.0242061i | ||||
\(921\) | 39.9930 | − | 35.7568i | 1.31781 | − | 1.17823i | ||||
\(922\) | 16.8885 | − | 33.5310i | 0.556192 | − | 1.10429i | ||||
\(923\) | −28.4861 | − | 9.25569i | −0.937631 | − | 0.304655i | ||||
\(924\) | −1.03538 | − | 9.32855i | −0.0340616 | − | 0.306887i | ||||
\(925\) | 7.81889 | + | 31.9028i | 0.257083 | + | 1.04896i | ||||
\(926\) | −58.1966 | + | 9.49576i | −1.91246 | + | 0.312050i | ||||
\(927\) | 11.5920 | − | 12.6941i | 0.380731 | − | 0.416929i | ||||
\(928\) | 1.30805 | + | 7.17243i | 0.0429389 | + | 0.235447i | ||||
\(929\) | 22.2775 | − | 30.6623i | 0.730900 | − | 1.00600i | −0.268190 | − | 0.963366i | \(-0.586426\pi\) |
0.999091 | − | 0.0426322i | \(-0.0135744\pi\) | |||||||
\(930\) | 21.2042 | − | 8.54627i | 0.695313 | − | 0.280243i | ||||
\(931\) | −28.1926 | − | 38.8037i | −0.923974 | − | 1.27174i | ||||
\(932\) | 21.3152 | − | 7.14612i | 0.698202 | − | 0.234079i | ||||
\(933\) | 18.3636 | + | 41.6375i | 0.601198 | + | 1.36315i | ||||
\(934\) | −0.127589 | + | 0.0657609i | −0.00417484 | + | 0.00215176i | ||||
\(935\) | −3.64552 | + | 6.54579i | −0.119221 | + | 0.214070i | ||||
\(936\) | 22.0536 | + | 5.74468i | 0.720844 | + | 0.187771i | ||||
\(937\) | 16.5735 | − | 5.38505i | 0.541432 | − | 0.175922i | −0.0255176 | − | 0.999674i | \(-0.508123\pi\) |
0.566950 | + | 0.823752i | \(0.308123\pi\) | |||||||
\(938\) | 34.3056 | + | 66.5597i | 1.12012 | + | 2.17325i | ||||
\(939\) | −13.0397 | + | 22.4038i | −0.425536 | + | 0.731119i | ||||
\(940\) | 10.0240 | + | 1.87237i | 0.326946 | + | 0.0610701i | ||||
\(941\) | 2.14615 | − | 0.697327i | 0.0699625 | − | 0.0227322i | −0.273827 | − | 0.961779i | \(-0.588289\pi\) |
0.343789 | + | 0.939047i | \(0.388289\pi\) | |||||||
\(942\) | 35.2412 | − | 22.9439i | 1.14822 | − | 0.747553i | ||||
\(943\) | −20.9896 | −0.683517 | ||||||||
\(944\) | 2.80162 | − | 9.20299i | 0.0911849 | − | 0.299532i | ||||
\(945\) | 11.3292 | − | 54.6247i | 0.368540 | − | 1.77694i | ||||
\(946\) | −2.52170 | − | 1.27009i | −0.0819874 | − | 0.0412943i | ||||
\(947\) | 12.7756 | − | 17.5840i | 0.415150 | − | 0.571405i | −0.549315 | − | 0.835615i | \(-0.685111\pi\) |
0.964465 | + | 0.264211i | \(0.0851114\pi\) | |||||||
\(948\) | −6.84232 | + | 33.1375i | −0.222228 | + | 1.07626i | ||||
\(949\) | 28.0876 | 0.911762 | ||||||||
\(950\) | 8.26779 | + | 19.4418i | 0.268243 | + | 0.630777i | ||||
\(951\) | −8.42862 | + | 38.9811i | −0.273317 | + | 1.26405i | ||||
\(952\) | 13.7272 | + | 79.4607i | 0.444900 | + | 2.57534i | ||||
\(953\) | 32.7071 | + | 23.7631i | 1.05949 | + | 0.769763i | 0.973994 | − | 0.226576i | \(-0.0727531\pi\) |
0.0854942 | + | 0.996339i | \(0.472753\pi\) | |||||||
\(954\) | 2.28910 | + | 2.84041i | 0.0741122 | + | 0.0919618i | ||||
\(955\) | −9.67478 | + | 17.3718i | −0.313069 | + | 0.562137i | ||||
\(956\) | −4.24080 | + | 5.95290i | −0.137157 | + | 0.192531i | ||||
\(957\) | −1.23126 | − | 0.266227i | −0.0398009 | − | 0.00860588i | ||||
\(958\) | −5.10177 | + | 5.14956i | −0.164831 | + | 0.166375i | ||||
\(959\) | −1.64379 | − | 5.05906i | −0.0530807 | − | 0.163366i | ||||
\(960\) | 16.5505 | + | 26.1932i | 0.534165 | + | 0.845381i | ||||
\(961\) | 4.19587 | − | 12.9136i | 0.135351 | − | 0.416566i | ||||
\(962\) | −11.4316 | − | 22.1795i | −0.368569 | − | 0.715097i | ||||
\(963\) | −19.3602 | − | 2.17217i | −0.623874 | − | 0.0699973i | ||||
\(964\) | −0.314219 | − | 33.6991i | −0.0101203 | − | 1.08538i | ||||
\(965\) | 3.85991 | − | 3.58502i | 0.124255 | − | 0.115406i | ||||
\(966\) | 15.4854 | + | 57.5260i | 0.498234 | + | 1.85087i | ||||
\(967\) | 17.8394 | − | 12.9611i | 0.573678 | − | 0.416801i | −0.262762 | − | 0.964861i | \(-0.584633\pi\) |
0.836439 | + | 0.548059i | \(0.184633\pi\) | |||||||
\(968\) | 26.7246 | − | 14.0911i | 0.858962 | − | 0.452905i | ||||
\(969\) | −28.1151 | + | 12.3998i | −0.903188 | + | 0.398337i | ||||
\(970\) | −1.22840 | + | 38.0837i | −0.0394414 | + | 1.22279i | ||||
\(971\) | −13.1035 | − | 9.52028i | −0.420513 | − | 0.305520i | 0.357331 | − | 0.933978i | \(-0.383687\pi\) |
−0.777844 | + | 0.628457i | \(0.783687\pi\) | |||||||
\(972\) | 30.5478 | − | 6.23168i | 0.979820 | − | 0.199881i | ||||
\(973\) | −59.2551 | − | 19.2531i | −1.89963 | − | 0.617227i | ||||
\(974\) | 12.1838 | − | 1.98799i | 0.390393 | − | 0.0636992i | ||||
\(975\) | −19.1848 | − | 13.1509i | −0.614406 | − | 0.421165i | ||||
\(976\) | 16.4166 | − | 12.4016i | 0.525483 | − | 0.396965i | ||||
\(977\) | 4.54311 | − | 13.9823i | 0.145347 | − | 0.447332i | −0.851708 | − | 0.524016i | \(-0.824433\pi\) |
0.997055 | + | 0.0766838i | \(0.0244332\pi\) | |||||||
\(978\) | −8.07473 | + | 9.99508i | −0.258201 | + | 0.319607i | ||||
\(979\) | −3.37913 | + | 4.65098i | −0.107998 | + | 0.148646i | ||||
\(980\) | 30.8168 | + | 64.8426i | 0.984407 | + | 2.07132i | ||||
\(981\) | −22.3192 | + | 4.58079i | −0.712597 | + | 0.146253i | ||||
\(982\) | 22.6591 | − | 3.69721i | 0.723080 | − | 0.117983i | ||||
\(983\) | 6.67461 | + | 9.18681i | 0.212887 | + | 0.293014i | 0.902084 | − | 0.431560i | \(-0.142037\pi\) |
−0.689197 | + | 0.724574i | \(0.742037\pi\) | |||||||
\(984\) | −11.2341 | − | 16.9083i | −0.358129 | − | 0.539017i | ||||
\(985\) | −4.90390 | − | 40.6101i | −0.156251 | − | 1.29395i | ||||
\(986\) | 10.6973 | + | 1.64320i | 0.340670 | + | 0.0523300i | ||||
\(987\) | 1.91602 | + | 18.8656i | 0.0609876 | + | 0.600500i | ||||
\(988\) | −9.55401 | − | 12.8954i | −0.303954 | − | 0.410257i | ||||
\(989\) | 17.0441 | + | 5.53797i | 0.541971 | + | 0.176097i | ||||
\(990\) | −5.27614 | + | 0.906688i | −0.167687 | + | 0.0288164i | ||||
\(991\) | −17.3045 | + | 5.62259i | −0.549697 | + | 0.178607i | −0.570680 | − | 0.821172i | \(-0.693320\pi\) |
0.0209832 | + | 0.999780i | \(0.493320\pi\) | |||||||
\(992\) | −23.4005 | − | 3.14908i | −0.742967 | − | 0.0999835i | ||||
\(993\) | −31.7414 | − | 6.86322i | −1.00728 | − | 0.217798i | ||||
\(994\) | 53.2955 | − | 53.7948i | 1.69043 | − | 1.70627i | ||||
\(995\) | 33.2254 | − | 30.8592i | 1.05331 | − | 0.978302i | ||||
\(996\) | 30.6623 | + | 17.4658i | 0.971572 | + | 0.553425i | ||||
\(997\) | −32.2396 | + | 44.3740i | −1.02104 | + | 1.40534i | −0.109564 | + | 0.993980i | \(0.534945\pi\) |
−0.911474 | + | 0.411358i | \(0.865055\pi\) | |||||||
\(998\) | 1.64072 | + | 0.252029i | 0.0519361 | + | 0.00797785i | ||||
\(999\) | −27.4037 | − | 20.3537i | −0.867015 | − | 0.643962i |
(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 | 300.2.r.a.179.26 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.179.31 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.179.20 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.179.37 | yes | 224 | |
25.19 | even | 10 | inner | 300.2.r.a.119.37 | yes | 224 | |
75.44 | odd | 10 | inner | 300.2.r.a.119.20 | ✓ | 224 | |
100.19 | odd | 10 | inner | 300.2.r.a.119.31 | yes | 224 | |
300.119 | even | 10 | inner | 300.2.r.a.119.26 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.119.20 | ✓ | 224 | 75.44 | odd | 10 | inner | |
300.2.r.a.119.26 | yes | 224 | 300.119 | even | 10 | inner | |
300.2.r.a.119.31 | yes | 224 | 100.19 | odd | 10 | inner | |
300.2.r.a.119.37 | yes | 224 | 25.19 | even | 10 | inner | |
300.2.r.a.179.20 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.179.26 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.179.31 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.179.37 | yes | 224 | 12.11 | even | 2 | inner |