Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.25 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.25 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.772339 | − | 0.206948i | 0.546126 | − | 0.146334i | 0.0248014 | − | 0.999692i | \(-0.492105\pi\) |
0.521325 | + | 0.853358i | \(0.325438\pi\) | |||||||
\(3\) | 1.52761 | − | 0.816340i | 0.881965 | − | 0.471314i | ||||
\(4\) | −1.17837 | + | 0.680332i | −0.589185 | + | 0.340166i | ||||
\(5\) | 0.657057 | + | 2.13735i | 0.293845 | + | 0.955853i | ||||
\(6\) | 1.01089 | − | 0.946626i | 0.412695 | − | 0.386459i | ||||
\(7\) | 0.914904 | + | 2.48253i | 0.345801 | + | 0.938308i | ||||
\(8\) | −1.90009 | + | 1.90009i | −0.671784 | + | 0.671784i | ||||
\(9\) | 1.66718 | − | 2.49410i | 0.555726 | − | 0.831366i | ||||
\(10\) | 0.949791 | + | 1.51478i | 0.300350 | + | 0.479017i | ||||
\(11\) | 1.89753 | 0.572126 | 0.286063 | − | 0.958211i | \(-0.407653\pi\) | ||||
0.286063 | + | 0.958211i | \(0.407653\pi\) | |||||||
\(12\) | −1.24471 | + | 2.00123i | −0.359316 | + | 0.577706i | ||||
\(13\) | 0.343579 | − | 0.0920618i | 0.0952918 | − | 0.0255334i | −0.210858 | − | 0.977517i | \(-0.567626\pi\) |
0.306150 | + | 0.951983i | \(0.400959\pi\) | |||||||
\(14\) | 1.22037 | + | 1.72802i | 0.326157 | + | 0.461832i | ||||
\(15\) | 2.74853 | + | 2.72866i | 0.709668 | + | 0.704536i | ||||
\(16\) | 0.286369 | − | 0.496007i | 0.0715924 | − | 0.124002i | ||||
\(17\) | −0.521621 | − | 1.94672i | −0.126512 | − | 0.472148i | 0.873377 | − | 0.487044i | \(-0.161925\pi\) |
−0.999889 | + | 0.0148962i | \(0.995258\pi\) | |||||||
\(18\) | 0.771479 | − | 2.27131i | 0.181839 | − | 0.535352i | ||||
\(19\) | −2.27028 | − | 3.93224i | −0.520838 | − | 0.902118i | −0.999706 | − | 0.0242311i | \(-0.992286\pi\) |
0.478868 | − | 0.877887i | \(-0.341047\pi\) | |||||||
\(20\) | −2.22837 | − | 2.07158i | −0.498278 | − | 0.463218i | ||||
\(21\) | 3.42420 | + | 3.04546i | 0.747222 | + | 0.664574i | ||||
\(22\) | 1.46554 | − | 0.392689i | 0.312453 | − | 0.0837216i | ||||
\(23\) | 0.952115 | − | 0.952115i | 0.198530 | − | 0.198530i | −0.600840 | − | 0.799369i | \(-0.705167\pi\) |
0.799369 | + | 0.600840i | \(0.205167\pi\) | |||||||
\(24\) | −1.35148 | + | 4.45372i | −0.275869 | + | 0.909111i | ||||
\(25\) | −4.13655 | + | 2.80873i | −0.827310 | + | 0.561745i | ||||
\(26\) | 0.246308 | − | 0.142206i | 0.0483049 | − | 0.0278889i | ||||
\(27\) | 0.510764 | − | 5.17099i | 0.0982967 | − | 0.995157i | ||||
\(28\) | −2.76704 | − | 2.30290i | −0.522922 | − | 0.435207i | ||||
\(29\) | −2.25903 | + | 1.30425i | −0.419492 | + | 0.242194i | −0.694860 | − | 0.719145i | \(-0.744534\pi\) |
0.275368 | + | 0.961339i | \(0.411200\pi\) | |||||||
\(30\) | 2.68749 | + | 1.53865i | 0.490666 | + | 0.280917i | ||||
\(31\) | 3.50326 | − | 2.02261i | 0.629205 | − | 0.363271i | −0.151239 | − | 0.988497i | \(-0.548326\pi\) |
0.780444 | + | 0.625226i | \(0.214993\pi\) | |||||||
\(32\) | 1.50949 | − | 5.63349i | 0.266843 | − | 0.995871i | ||||
\(33\) | 2.89868 | − | 1.54903i | 0.504596 | − | 0.269651i | ||||
\(34\) | −0.805736 | − | 1.39558i | −0.138183 | − | 0.239339i | ||||
\(35\) | −4.70490 | + | 3.58664i | −0.795273 | + | 0.606252i | ||||
\(36\) | −0.267738 | + | 4.07320i | −0.0446230 | + | 0.678867i | ||||
\(37\) | 2.17042 | − | 8.10011i | 0.356814 | − | 1.33165i | −0.521371 | − | 0.853330i | \(-0.674579\pi\) |
0.878186 | − | 0.478320i | \(-0.158754\pi\) | |||||||
\(38\) | −2.56719 | − | 2.56719i | −0.416454 | − | 0.416454i | ||||
\(39\) | 0.449701 | − | 0.421112i | 0.0720098 | − | 0.0674319i | ||||
\(40\) | −5.30963 | − | 2.81270i | −0.839527 | − | 0.444726i | ||||
\(41\) | −0.370817 | − | 0.214091i | −0.0579119 | − | 0.0334354i | 0.470764 | − | 0.882259i | \(-0.343978\pi\) |
−0.528676 | + | 0.848823i | \(0.677311\pi\) | |||||||
\(42\) | 3.27490 | + | 1.64350i | 0.505328 | + | 0.253597i | ||||
\(43\) | −8.10338 | − | 2.17129i | −1.23575 | − | 0.331119i | −0.418937 | − | 0.908015i | \(-0.637597\pi\) |
−0.816818 | + | 0.576896i | \(0.804264\pi\) | |||||||
\(44\) | −2.23599 | + | 1.29095i | −0.337088 | + | 0.194618i | ||||
\(45\) | 6.42620 | + | 1.92458i | 0.957961 | + | 0.286900i | ||||
\(46\) | 0.538318 | − | 0.932394i | 0.0793706 | − | 0.137474i | ||||
\(47\) | 2.10426 | + | 7.85320i | 0.306938 | + | 1.14551i | 0.931264 | + | 0.364344i | \(0.118707\pi\) |
−0.624327 | + | 0.781163i | \(0.714627\pi\) | |||||||
\(48\) | 0.0325506 | − | 0.991479i | 0.00469827 | − | 0.143108i | ||||
\(49\) | −5.32590 | + | 4.54255i | −0.760843 | + | 0.648936i | ||||
\(50\) | −2.61356 | + | 3.02534i | −0.369613 | + | 0.427847i | ||||
\(51\) | −2.38601 | − | 2.54800i | −0.334109 | − | 0.356791i | ||||
\(52\) | −0.342231 | + | 0.342231i | −0.0474589 | + | 0.0474589i | ||||
\(53\) | 2.26746 | + | 8.46228i | 0.311460 | + | 1.16238i | 0.927241 | + | 0.374466i | \(0.122174\pi\) |
−0.615781 | + | 0.787917i | \(0.711159\pi\) | |||||||
\(54\) | −0.675641 | − | 4.09946i | −0.0919430 | − | 0.557866i | ||||
\(55\) | 1.24678 | + | 4.05569i | 0.168116 | + | 0.546869i | ||||
\(56\) | −6.45543 | − | 2.97863i | −0.862643 | − | 0.398036i | ||||
\(57\) | −6.67814 | − | 4.15360i | −0.884542 | − | 0.550158i | ||||
\(58\) | −1.47483 | + | 1.47483i | −0.193654 | + | 0.193654i | ||||
\(59\) | 3.70997 | + | 6.42586i | 0.482997 | + | 0.836575i | 0.999809 | − | 0.0195235i | \(-0.00621492\pi\) |
−0.516813 | + | 0.856099i | \(0.672882\pi\) | |||||||
\(60\) | −5.09518 | − | 1.34545i | −0.657785 | − | 0.173697i | ||||
\(61\) | −4.06455 | − | 2.34667i | −0.520412 | − | 0.300460i | 0.216691 | − | 0.976240i | \(-0.430474\pi\) |
−0.737103 | + | 0.675780i | \(0.763807\pi\) | |||||||
\(62\) | 2.28713 | − | 2.28713i | 0.290466 | − | 0.290466i | ||||
\(63\) | 7.71697 | + | 1.85696i | 0.972247 | + | 0.233955i | ||||
\(64\) | − | 3.51788i | − | 0.439734i | ||||||
\(65\) | 0.422520 | + | 0.673860i | 0.0524072 | + | 0.0835821i | ||||
\(66\) | 1.91820 | − | 1.79625i | 0.236114 | − | 0.221103i | ||||
\(67\) | 3.81975 | − | 14.2555i | 0.466657 | − | 1.74159i | −0.184679 | − | 0.982799i | \(-0.559124\pi\) |
0.651336 | − | 0.758789i | \(-0.274209\pi\) | |||||||
\(68\) | 1.93908 | + | 1.93908i | 0.235148 | + | 0.235148i | ||||
\(69\) | 0.677210 | − | 2.23171i | 0.0815265 | − | 0.268666i | ||||
\(70\) | −2.89153 | + | 3.74377i | −0.345604 | + | 0.447466i | ||||
\(71\) | −3.22107 | −0.382270 | −0.191135 | − | 0.981564i | \(-0.561217\pi\) | ||||
−0.191135 | + | 0.981564i | \(0.561217\pi\) | |||||||
\(72\) | 1.57122 | + | 7.90680i | 0.185170 | + | 0.931825i | ||||
\(73\) | 9.02450 | − | 2.41811i | 1.05624 | − | 0.283018i | 0.311411 | − | 0.950275i | \(-0.399199\pi\) |
0.744827 | + | 0.667257i | \(0.232532\pi\) | |||||||
\(74\) | − | 6.70519i | − | 0.779463i | ||||||
\(75\) | −4.02616 | + | 7.66747i | −0.464901 | + | 0.885363i | ||||
\(76\) | 5.35046 | + | 3.08909i | 0.613740 | + | 0.354343i | ||||
\(77\) | 1.73606 | + | 4.71067i | 0.197842 | + | 0.536831i | ||||
\(78\) | 0.260174 | − | 0.418306i | 0.0294589 | − | 0.0473638i | ||||
\(79\) | −8.77792 | − | 5.06793i | −0.987593 | − | 0.570187i | −0.0830390 | − | 0.996546i | \(-0.526463\pi\) |
−0.904554 | + | 0.426359i | \(0.859796\pi\) | |||||||
\(80\) | 1.24830 | + | 0.286168i | 0.139564 | + | 0.0319945i | ||||
\(81\) | −3.44104 | − | 8.31621i | −0.382337 | − | 0.924023i | ||||
\(82\) | −0.330702 | − | 0.0886114i | −0.0365199 | − | 0.00978549i | ||||
\(83\) | −4.50725 | + | 16.8213i | −0.494735 | + | 1.84637i | 0.0367774 | + | 0.999323i | \(0.488291\pi\) |
−0.531512 | + | 0.847051i | \(0.678376\pi\) | |||||||
\(84\) | −6.10691 | − | 1.25908i | −0.666318 | − | 0.137377i | ||||
\(85\) | 3.81808 | − | 2.39399i | 0.414129 | − | 0.259665i | ||||
\(86\) | −6.70790 | −0.723332 | ||||||||
\(87\) | −2.38621 | + | 3.83653i | −0.255828 | + | 0.411319i | ||||
\(88\) | −3.60548 | + | 3.60548i | −0.384345 | + | 0.384345i | ||||
\(89\) | −0.865525 | − | 1.49913i | −0.0917455 | − | 0.158908i | 0.816500 | − | 0.577345i | \(-0.195911\pi\) |
−0.908246 | + | 0.418437i | \(0.862578\pi\) | |||||||
\(90\) | 5.36149 | + | 0.156544i | 0.565151 | + | 0.0165012i | ||||
\(91\) | 0.542888 | + | 0.768718i | 0.0569102 | + | 0.0805836i | ||||
\(92\) | −0.474189 | + | 1.76970i | −0.0494377 | + | 0.184504i | ||||
\(93\) | 3.70048 | − | 5.94961i | 0.383722 | − | 0.616946i | ||||
\(94\) | 3.25040 | + | 5.62987i | 0.335254 | + | 0.580676i | ||||
\(95\) | 6.91288 | − | 7.43610i | 0.709246 | − | 0.762927i | ||||
\(96\) | −2.29294 | − | 9.83803i | −0.234022 | − | 1.00409i | ||||
\(97\) | −6.33706 | − | 1.69801i | −0.643431 | − | 0.172407i | −0.0776741 | − | 0.996979i | \(-0.524749\pi\) |
−0.565757 | + | 0.824572i | \(0.691416\pi\) | |||||||
\(98\) | −3.17333 | + | 4.61057i | −0.320555 | + | 0.465738i | ||||
\(99\) | 3.16352 | − | 4.73262i | 0.317945 | − | 0.475646i | ||||
\(100\) | 2.96352 | − | 6.12395i | 0.296352 | − | 0.612395i | ||||
\(101\) | − | 17.1328i | − | 1.70478i | −0.522908 | − | 0.852389i | \(-0.675153\pi\) | ||
0.522908 | − | 0.852389i | \(-0.324847\pi\) | |||||||
\(102\) | −2.37011 | − | 1.47414i | −0.234676 | − | 0.145962i | ||||
\(103\) | 11.2221 | + | 11.2221i | 1.10574 | + | 1.10574i | 0.993704 | + | 0.112037i | \(0.0357377\pi\) |
0.112037 | + | 0.993704i | \(0.464262\pi\) | |||||||
\(104\) | −0.477906 | + | 0.827758i | −0.0468626 | + | 0.0811684i | ||||
\(105\) | −4.25933 | + | 9.31977i | −0.415668 | + | 0.909517i | ||||
\(106\) | 3.50250 | + | 6.06650i | 0.340193 | + | 0.589231i | ||||
\(107\) | −1.14381 | + | 4.26877i | −0.110577 | + | 0.412677i | −0.998918 | − | 0.0465063i | \(-0.985191\pi\) |
0.888341 | + | 0.459183i | \(0.151858\pi\) | |||||||
\(108\) | 2.91612 | + | 6.44083i | 0.280604 | + | 0.619769i | ||||
\(109\) | −5.17609 | − | 2.98842i | −0.495779 | − | 0.286238i | 0.231190 | − | 0.972909i | \(-0.425738\pi\) |
−0.726969 | + | 0.686670i | \(0.759072\pi\) | |||||||
\(110\) | 1.80226 | + | 2.87435i | 0.171838 | + | 0.274058i | ||||
\(111\) | −3.29689 | − | 14.1456i | −0.312927 | − | 1.34264i | ||||
\(112\) | 1.49335 | + | 0.257122i | 0.141108 | + | 0.0242958i | ||||
\(113\) | −4.91835 | − | 18.3555i | −0.462679 | − | 1.72674i | −0.664470 | − | 0.747315i | \(-0.731343\pi\) |
0.201791 | − | 0.979429i | \(-0.435324\pi\) | |||||||
\(114\) | −6.01737 | − | 1.82596i | −0.563578 | − | 0.171017i | ||||
\(115\) | 2.66060 | + | 1.40941i | 0.248102 | + | 0.131428i | ||||
\(116\) | 1.77465 | − | 3.07379i | 0.164772 | − | 0.285394i | ||||
\(117\) | 0.343197 | − | 1.01040i | 0.0317286 | − | 0.0934119i | ||||
\(118\) | 4.19517 | + | 4.19517i | 0.386197 | + | 0.386197i | ||||
\(119\) | 4.35554 | − | 3.07600i | 0.399272 | − | 0.281976i | ||||
\(120\) | −10.4072 | + | 0.0377673i | −0.950039 | + | 0.00344766i | ||||
\(121\) | −7.39939 | −0.672671 | ||||||||
\(122\) | −3.62485 | − | 0.971275i | −0.328178 | − | 0.0879351i | ||||
\(123\) | −0.741235 | − | 0.0243350i | −0.0668349 | − | 0.00219421i | ||||
\(124\) | −2.75209 | + | 4.76677i | −0.247145 | + | 0.428068i | ||||
\(125\) | −8.72119 | − | 6.99577i | −0.780047 | − | 0.625721i | ||||
\(126\) | 6.34442 | − | 0.162807i | 0.565205 | − | 0.0145040i | ||||
\(127\) | −5.71266 | − | 5.71266i | −0.506917 | − | 0.506917i | 0.406662 | − | 0.913579i | \(-0.366693\pi\) |
−0.913579 | + | 0.406662i | \(0.866693\pi\) | |||||||
\(128\) | 2.29096 | + | 8.55000i | 0.202495 | + | 0.755720i | ||||
\(129\) | −14.1513 | + | 3.29823i | −1.24595 | + | 0.290393i | ||||
\(130\) | 0.465783 | + | 0.433009i | 0.0408518 | + | 0.0379774i | ||||
\(131\) | 9.76378i | 0.853066i | 0.904472 | + | 0.426533i | \(0.140265\pi\) | ||||
−0.904472 | + | 0.426533i | \(0.859735\pi\) | |||||||
\(132\) | −2.36187 | + | 3.79740i | −0.205574 | + | 0.330521i | ||||
\(133\) | 7.68481 | − | 9.23366i | 0.666358 | − | 0.800660i | ||||
\(134\) | − | 11.8006i | − | 1.01941i | ||||||
\(135\) | 11.3878 | − | 2.30595i | 0.980108 | − | 0.198465i | ||||
\(136\) | 4.69006 | + | 2.70781i | 0.402170 | + | 0.232193i | ||||
\(137\) | 13.2518 | + | 13.2518i | 1.13217 | + | 1.13217i | 0.989815 | + | 0.142360i | \(0.0454691\pi\) |
0.142360 | + | 0.989815i | \(0.454531\pi\) | |||||||
\(138\) | 0.0611886 | − | 1.86378i | 0.00520872 | − | 0.158656i | ||||
\(139\) | −1.20016 | + | 2.07873i | −0.101796 | + | 0.176316i | −0.912425 | − | 0.409245i | \(-0.865792\pi\) |
0.810629 | + | 0.585561i | \(0.199126\pi\) | |||||||
\(140\) | 3.10401 | − | 7.42728i | 0.262336 | − | 0.627720i | ||||
\(141\) | 9.62537 | + | 10.2788i | 0.810603 | + | 0.865634i | ||||
\(142\) | −2.48776 | + | 0.666592i | −0.208768 | + | 0.0559392i | ||||
\(143\) | 0.651952 | − | 0.174690i | 0.0545189 | − | 0.0146083i | ||||
\(144\) | −0.759659 | − | 1.54116i | −0.0633049 | − | 0.128430i | ||||
\(145\) | −4.27196 | − | 3.97138i | −0.354767 | − | 0.329805i | ||||
\(146\) | 6.46955 | − | 3.73520i | 0.535424 | − | 0.309127i | ||||
\(147\) | −4.42763 | + | 11.2870i | −0.365185 | + | 0.930935i | ||||
\(148\) | 2.95321 | + | 11.0215i | 0.242752 | + | 0.905964i | ||||
\(149\) | − | 4.14875i | − | 0.339879i | −0.985454 | − | 0.169940i | \(-0.945643\pi\) | ||
0.985454 | − | 0.169940i | \(-0.0543572\pi\) | |||||||
\(150\) | −1.52279 | + | 6.75509i | −0.124336 | + | 0.551551i | ||||
\(151\) | 15.5663 | 1.26677 | 0.633384 | − | 0.773838i | \(-0.281665\pi\) | ||||
0.633384 | + | 0.773838i | \(0.281665\pi\) | |||||||
\(152\) | 11.7854 | + | 3.15788i | 0.955918 | + | 0.256138i | ||||
\(153\) | −5.72493 | − | 1.94455i | −0.462833 | − | 0.157207i | ||||
\(154\) | 2.31569 | + | 3.27896i | 0.186603 | + | 0.264226i | ||||
\(155\) | 6.62487 | + | 6.15874i | 0.532123 | + | 0.494682i | ||||
\(156\) | −0.243418 | + | 0.802172i | −0.0194891 | + | 0.0642252i | ||||
\(157\) | 20.1571 | + | 5.40107i | 1.60871 | + | 0.431052i | 0.947658 | − | 0.319288i | \(-0.103444\pi\) |
0.661051 | + | 0.750341i | \(0.270110\pi\) | |||||||
\(158\) | −7.82833 | − | 2.09759i | −0.622788 | − | 0.166876i | ||||
\(159\) | 10.3719 | + | 11.0760i | 0.822544 | + | 0.878386i | ||||
\(160\) | 13.0326 | − | 0.475216i | 1.03032 | − | 0.0375691i | ||||
\(161\) | 3.23475 | + | 1.49256i | 0.254934 | + | 0.117630i | ||||
\(162\) | −4.37867 | − | 5.71082i | −0.344021 | − | 0.448684i | ||||
\(163\) | −12.4502 | − | 3.33601i | −0.975172 | − | 0.261296i | −0.264162 | − | 0.964478i | \(-0.585095\pi\) |
−0.711010 | + | 0.703182i | \(0.751762\pi\) | |||||||
\(164\) | 0.582613 | 0.0454944 | ||||||||
\(165\) | 5.21542 | + | 5.17770i | 0.406020 | + | 0.403084i | ||||
\(166\) | 13.9245i | 1.08075i | ||||||||
\(167\) | 2.28189 | + | 8.51613i | 0.176578 | + | 0.658998i | 0.996277 | + | 0.0862041i | \(0.0274737\pi\) |
−0.819700 | + | 0.572794i | \(0.805860\pi\) | |||||||
\(168\) | −12.2930 | + | 0.719644i | −0.948422 | + | 0.0555218i | ||||
\(169\) | −11.1488 | + | 6.43674i | −0.857597 | + | 0.495134i | ||||
\(170\) | 2.45342 | − | 2.63912i | 0.188169 | − | 0.202411i | ||||
\(171\) | −13.5923 | − | 0.893446i | −1.03943 | − | 0.0683235i | ||||
\(172\) | 11.0260 | − | 2.95440i | 0.840724 | − | 0.225271i | ||||
\(173\) | 22.1840 | − | 5.94419i | 1.68662 | − | 0.451928i | 0.717105 | − | 0.696965i | \(-0.245467\pi\) |
0.969514 | + | 0.245037i | \(0.0788002\pi\) | |||||||
\(174\) | −1.04900 | + | 3.45692i | −0.0795244 | + | 0.262069i | ||||
\(175\) | −10.7573 | − | 7.69940i | −0.813175 | − | 0.582020i | ||||
\(176\) | 0.543394 | − | 0.941186i | 0.0409599 | − | 0.0709446i | ||||
\(177\) | 10.9131 | + | 6.78760i | 0.820276 | + | 0.510187i | ||||
\(178\) | −0.978721 | − | 0.978721i | −0.0733582 | − | 0.0733582i | ||||
\(179\) | −5.47867 | − | 3.16311i | −0.409495 | − | 0.236422i | 0.281078 | − | 0.959685i | \(-0.409308\pi\) |
−0.690573 | + | 0.723263i | \(0.742641\pi\) | |||||||
\(180\) | −8.88179 | + | 2.10408i | −0.662010 | + | 0.156829i | ||||
\(181\) | 19.4981i | 1.44928i | 0.689128 | + | 0.724640i | \(0.257994\pi\) | ||||
−0.689128 | + | 0.724640i | \(0.742006\pi\) | |||||||
\(182\) | 0.578378 | + | 0.481362i | 0.0428723 | + | 0.0356809i | ||||
\(183\) | −8.12472 | − | 0.266737i | −0.600597 | − | 0.0197178i | ||||
\(184\) | 3.61821i | 0.266738i | ||||||||
\(185\) | 18.7389 | − | 0.683288i | 1.37771 | − | 0.0502363i | ||||
\(186\) | 1.62677 | − | 5.36092i | 0.119280 | − | 0.393082i | ||||
\(187\) | −0.989790 | − | 3.69395i | −0.0723806 | − | 0.270128i | ||||
\(188\) | −7.82239 | − | 7.82239i | −0.570506 | − | 0.570506i | ||||
\(189\) | 13.3044 | − | 3.46297i | 0.967755 | − | 0.251894i | ||||
\(190\) | 3.80020 | − | 7.17379i | 0.275696 | − | 0.520442i | ||||
\(191\) | −11.1365 | + | 19.2890i | −0.805809 | + | 1.39570i | 0.109935 | + | 0.993939i | \(0.464936\pi\) |
−0.915744 | + | 0.401763i | \(0.868398\pi\) | |||||||
\(192\) | −2.87178 | − | 5.37394i | −0.207253 | − | 0.387831i | ||||
\(193\) | 9.14701 | + | 2.45093i | 0.658416 | + | 0.176422i | 0.572531 | − | 0.819883i | \(-0.305962\pi\) |
0.0858851 | + | 0.996305i | \(0.472628\pi\) | |||||||
\(194\) | −5.24576 | −0.376624 | ||||||||
\(195\) | 1.19554 | + | 0.684475i | 0.0856147 | + | 0.0490163i | ||||
\(196\) | 3.18544 | − | 8.97619i | 0.227532 | − | 0.641157i | ||||
\(197\) | 3.48413 | + | 3.48413i | 0.248234 | + | 0.248234i | 0.820245 | − | 0.572012i | \(-0.193837\pi\) |
−0.572012 | + | 0.820245i | \(0.693837\pi\) | |||||||
\(198\) | 1.46390 | − | 4.30987i | 0.104035 | − | 0.306289i | ||||
\(199\) | 0.232271 | − | 0.402305i | 0.0164653 | − | 0.0285187i | −0.857675 | − | 0.514192i | \(-0.828092\pi\) |
0.874141 | + | 0.485673i | \(0.161425\pi\) | |||||||
\(200\) | 2.52299 | − | 13.1967i | 0.178402 | − | 0.933145i | ||||
\(201\) | −5.80226 | − | 24.8951i | −0.409260 | − | 1.75596i | ||||
\(202\) | −3.54559 | − | 13.2323i | −0.249467 | − | 0.931024i | ||||
\(203\) | −5.30465 | − | 4.41485i | −0.372313 | − | 0.309862i | ||||
\(204\) | 4.54510 | + | 1.37920i | 0.318220 | + | 0.0965636i | ||||
\(205\) | 0.213941 | − | 0.933237i | 0.0149423 | − | 0.0651801i | ||||
\(206\) | 10.9896 | + | 6.34485i | 0.765682 | + | 0.442067i | ||||
\(207\) | −0.787322 | − | 3.96201i | −0.0547227 | − | 0.275379i | ||||
\(208\) | 0.0527274 | − | 0.196781i | 0.00365599 | − | 0.0136443i | ||||
\(209\) | −4.30792 | − | 7.46154i | −0.297985 | − | 0.516125i | ||||
\(210\) | −1.36094 | + | 8.07948i | −0.0939138 | + | 0.557537i | ||||
\(211\) | −11.0638 | + | 19.1630i | −0.761663 | + | 1.31924i | 0.180331 | + | 0.983606i | \(0.442283\pi\) |
−0.941993 | + | 0.335632i | \(0.891050\pi\) | |||||||
\(212\) | −8.42907 | − | 8.42907i | −0.578911 | − | 0.578911i | ||||
\(213\) | −4.92053 | + | 2.62949i | −0.337149 | + | 0.180169i | ||||
\(214\) | 3.53364i | 0.241555i | ||||||||
\(215\) | −0.683564 | − | 18.7465i | −0.0466187 | − | 1.27850i | ||||
\(216\) | 8.85485 | + | 10.7958i | 0.602496 | + | 0.734564i | ||||
\(217\) | 8.22634 | + | 6.84646i | 0.558440 | + | 0.464768i | ||||
\(218\) | −4.61614 | − | 1.23689i | −0.312644 | − | 0.0837728i | ||||
\(219\) | 11.8119 | − | 11.0610i | 0.798175 | − | 0.747432i | ||||
\(220\) | −4.22839 | − | 3.93087i | −0.285078 | − | 0.265019i | ||||
\(221\) | −0.358436 | − | 0.620830i | −0.0241110 | − | 0.0417615i | ||||
\(222\) | −5.47372 | − | 10.2429i | −0.367372 | − | 0.687459i | ||||
\(223\) | 0.546729 | − | 2.04042i | 0.0366116 | − | 0.136637i | −0.945201 | − | 0.326489i | \(-0.894134\pi\) |
0.981813 | + | 0.189853i | \(0.0608010\pi\) | |||||||
\(224\) | 15.3664 | − | 1.40675i | 1.02671 | − | 0.0939925i | ||||
\(225\) | 0.108868 | + | 14.9996i | 0.00725785 | + | 0.999974i | ||||
\(226\) | −7.59727 | − | 13.1589i | −0.505363 | − | 0.875314i | ||||
\(227\) | 1.61863 | − | 1.61863i | 0.107432 | − | 0.107432i | −0.651347 | − | 0.758780i | \(-0.725796\pi\) |
0.758780 | + | 0.651347i | \(0.225796\pi\) | |||||||
\(228\) | 10.6952 | + | 0.351126i | 0.708304 | + | 0.0232539i | ||||
\(229\) | −0.131734 | −0.00870523 | −0.00435262 | − | 0.999991i | \(-0.501385\pi\) | ||||
−0.00435262 | + | 0.999991i | \(0.501385\pi\) | |||||||
\(230\) | 2.34656 | + | 0.537939i | 0.154728 | + | 0.0354706i | ||||
\(231\) | 6.49752 | + | 5.77885i | 0.427506 | + | 0.380220i | ||||
\(232\) | 1.81417 | − | 6.77057i | 0.119106 | − | 0.444510i | ||||
\(233\) | 7.31550 | + | 1.96018i | 0.479254 | + | 0.128416i | 0.490355 | − | 0.871523i | \(-0.336867\pi\) |
−0.0111012 | + | 0.999938i | \(0.503534\pi\) | |||||||
\(234\) | 0.0559637 | − | 0.851398i | 0.00365846 | − | 0.0556576i | ||||
\(235\) | −15.4024 | + | 9.65755i | −1.00474 | + | 0.629989i | ||||
\(236\) | −8.74344 | − | 5.04802i | −0.569149 | − | 0.328598i | ||||
\(237\) | −17.5464 | − | 0.576054i | −1.13976 | − | 0.0374187i | ||||
\(238\) | 2.72739 | − | 3.27708i | 0.176790 | − | 0.212422i | ||||
\(239\) | −7.82313 | − | 4.51669i | −0.506036 | − | 0.292160i | 0.225167 | − | 0.974320i | \(-0.427707\pi\) |
−0.731203 | + | 0.682160i | \(0.761041\pi\) | |||||||
\(240\) | 2.14053 | − | 0.581886i | 0.138170 | − | 0.0375606i | ||||
\(241\) | 16.0799i | 1.03580i | 0.855441 | + | 0.517900i | \(0.173286\pi\) | ||||
−0.855441 | + | 0.517900i | \(0.826714\pi\) | |||||||
\(242\) | −5.71484 | + | 1.53129i | −0.367364 | + | 0.0984348i | ||||
\(243\) | −12.0454 | − | 9.89485i | −0.772713 | − | 0.634755i | ||||
\(244\) | 6.38606 | 0.408826 | ||||||||
\(245\) | −13.2085 | − | 8.39862i | −0.843857 | − | 0.536568i | ||||
\(246\) | −0.577521 | + | 0.134602i | −0.0368214 | + | 0.00858190i | ||||
\(247\) | −1.14203 | − | 1.14203i | −0.0726657 | − | 0.0726657i | ||||
\(248\) | −2.81338 | + | 10.4997i | −0.178650 | + | 0.666729i | ||||
\(249\) | 6.84657 | + | 29.3758i | 0.433884 | + | 1.86161i | ||||
\(250\) | −8.18347 | − | 3.59828i | −0.517568 | − | 0.227575i | ||||
\(251\) | − | 11.2568i | − | 0.710521i | −0.934767 | − | 0.355260i | \(-0.884392\pi\) | ||
0.934767 | − | 0.355260i | \(-0.115608\pi\) | |||||||
\(252\) | −10.3568 | + | 3.06192i | −0.652417 | + | 0.192883i | ||||
\(253\) | 1.80667 | − | 1.80667i | 0.113584 | − | 0.113584i | ||||
\(254\) | −5.59434 | − | 3.22989i | −0.351020 | − | 0.202661i | ||||
\(255\) | 3.87823 | − | 6.77394i | 0.242864 | − | 0.424200i | ||||
\(256\) | 7.05668 | + | 12.2225i | 0.441042 | + | 0.763908i | ||||
\(257\) | −4.00109 | + | 4.00109i | −0.249581 | + | 0.249581i | −0.820799 | − | 0.571217i | \(-0.806471\pi\) |
0.571217 | + | 0.820799i | \(0.306471\pi\) | |||||||
\(258\) | −10.2471 | + | 5.47593i | −0.637954 | + | 0.340917i | ||||
\(259\) | 22.0945 | − | 2.02269i | 1.37288 | − | 0.125684i | ||||
\(260\) | −0.956334 | − | 0.506603i | −0.0593093 | − | 0.0314182i | ||||
\(261\) | −0.513276 | + | 7.80867i | −0.0317710 | + | 0.483345i | ||||
\(262\) | 2.02059 | + | 7.54095i | 0.124833 | + | 0.465882i | ||||
\(263\) | −1.72403 | + | 1.72403i | −0.106308 | + | 0.106308i | −0.758260 | − | 0.651952i | \(-0.773950\pi\) |
0.651952 | + | 0.758260i | \(0.273950\pi\) | |||||||
\(264\) | −2.56446 | + | 8.45105i | −0.157832 | + | 0.520126i | ||||
\(265\) | −16.5970 | + | 10.4066i | −1.01955 | + | 0.639270i | ||||
\(266\) | 4.02440 | − | 8.72187i | 0.246752 | − | 0.534772i | ||||
\(267\) | −2.54599 | − | 1.58353i | −0.155812 | − | 0.0969103i | ||||
\(268\) | 5.19741 | + | 19.3970i | 0.317482 | + | 1.18486i | ||||
\(269\) | −2.87950 | + | 4.98744i | −0.175566 | + | 0.304090i | −0.940357 | − | 0.340189i | \(-0.889509\pi\) |
0.764791 | + | 0.644279i | \(0.222842\pi\) | |||||||
\(270\) | 8.31805 | − | 4.13766i | 0.506221 | − | 0.251810i | ||||
\(271\) | −22.3773 | + | 12.9196i | −1.35933 | + | 0.784808i | −0.989533 | − | 0.144306i | \(-0.953905\pi\) |
−0.369793 | + | 0.929114i | \(0.620572\pi\) | |||||||
\(272\) | −1.11496 | − | 0.298753i | −0.0676044 | − | 0.0181145i | ||||
\(273\) | 1.45686 | + | 0.731119i | 0.0881730 | + | 0.0442494i | ||||
\(274\) | 12.9773 | + | 7.49244i | 0.783986 | + | 0.452635i | ||||
\(275\) | −7.84922 | + | 5.32964i | −0.473326 | + | 0.321389i | ||||
\(276\) | 0.720300 | + | 3.09051i | 0.0433570 | + | 0.186027i | ||||
\(277\) | −12.0321 | − | 12.0321i | −0.722937 | − | 0.722937i | 0.246266 | − | 0.969202i | \(-0.420796\pi\) |
−0.969202 | + | 0.246266i | \(0.920796\pi\) | |||||||
\(278\) | −0.496739 | + | 1.85386i | −0.0297924 | + | 0.111187i | ||||
\(279\) | 0.795978 | − | 12.1095i | 0.0476539 | − | 0.724978i | ||||
\(280\) | 2.12480 | − | 15.7547i | 0.126981 | − | 0.941521i | ||||
\(281\) | −16.1409 | − | 27.9568i | −0.962884 | − | 1.66776i | −0.715196 | − | 0.698924i | \(-0.753663\pi\) |
−0.247688 | − | 0.968840i | \(-0.579671\pi\) | |||||||
\(282\) | 9.56123 | + | 5.94680i | 0.569363 | + | 0.354127i | ||||
\(283\) | −0.317296 | + | 1.18417i | −0.0188613 | + | 0.0703914i | −0.974715 | − | 0.223451i | \(-0.928268\pi\) |
0.955854 | + | 0.293843i | \(0.0949342\pi\) | |||||||
\(284\) | 3.79561 | − | 2.19140i | 0.225228 | − | 0.130035i | ||||
\(285\) | 4.48979 | − | 17.0027i | 0.265952 | − | 1.00715i | ||||
\(286\) | 0.467376 | − | 0.269840i | 0.0276365 | − | 0.0159560i | ||||
\(287\) | 0.192226 | − | 1.11644i | 0.0113467 | − | 0.0659012i | ||||
\(288\) | −11.5339 | − | 13.1569i | −0.679641 | − | 0.775275i | ||||
\(289\) | 11.2048 | − | 6.46911i | 0.659107 | − | 0.380536i | ||||
\(290\) | −4.12127 | − | 2.18318i | −0.242010 | − | 0.128201i | ||||
\(291\) | −11.0667 | + | 2.57930i | −0.648742 | + | 0.151201i | ||||
\(292\) | −8.98909 | + | 8.98909i | −0.526047 | + | 0.526047i | ||||
\(293\) | 5.65776 | − | 1.51599i | 0.330530 | − | 0.0885653i | −0.0897376 | − | 0.995965i | \(-0.528603\pi\) |
0.420268 | + | 0.907400i | \(0.361936\pi\) | |||||||
\(294\) | −1.08382 | + | 9.63367i | −0.0632095 | + | 0.561847i | ||||
\(295\) | −11.2967 | + | 12.1517i | −0.657717 | + | 0.707497i | ||||
\(296\) | 11.2670 | + | 19.5149i | 0.654878 | + | 1.13428i | ||||
\(297\) | 0.969190 | − | 9.81210i | 0.0562381 | − | 0.569356i | ||||
\(298\) | −0.858575 | − | 3.20424i | −0.0497359 | − | 0.185617i | ||||
\(299\) | 0.239474 | − | 0.414781i | 0.0138491 | − | 0.0239874i | ||||
\(300\) | −0.472123 | − | 11.7742i | −0.0272580 | − | 0.679786i | ||||
\(301\) | −2.02351 | − | 22.1034i | −0.116633 | − | 1.27402i | ||||
\(302\) | 12.0225 | − | 3.22141i | 0.691815 | − | 0.185371i | ||||
\(303\) | −13.9862 | − | 26.1722i | −0.803486 | − | 1.50356i | ||||
\(304\) | −2.60056 | −0.149152 | ||||||||
\(305\) | 2.34502 | − | 10.2293i | 0.134275 | − | 0.585726i | ||||
\(306\) | −4.82401 | − | 0.317089i | −0.275770 | − | 0.0181268i | ||||
\(307\) | −3.77724 | + | 3.77724i | −0.215578 | + | 0.215578i | −0.806632 | − | 0.591054i | \(-0.798712\pi\) |
0.591054 | + | 0.806632i | \(0.298712\pi\) | |||||||
\(308\) | −5.25054 | − | 4.36982i | −0.299177 | − | 0.248994i | ||||
\(309\) | 26.3039 | + | 7.98189i | 1.49638 | + | 0.454074i | ||||
\(310\) | 6.39119 | + | 3.38563i | 0.362995 | + | 0.192291i | ||||
\(311\) | −18.1547 | + | 10.4816i | −1.02946 | + | 0.594359i | −0.916830 | − | 0.399278i | \(-0.869261\pi\) |
−0.112630 | + | 0.993637i | \(0.535927\pi\) | |||||||
\(312\) | −0.0543219 | + | 1.65462i | −0.00307537 | + | 0.0936747i | ||||
\(313\) | 12.0347 | − | 3.22468i | 0.680240 | − | 0.182270i | 0.0978768 | − | 0.995199i | \(-0.468795\pi\) |
0.582363 | + | 0.812929i | \(0.302128\pi\) | |||||||
\(314\) | 16.6858 | 0.941636 | ||||||||
\(315\) | 1.10152 | + | 17.7140i | 0.0620635 | + | 0.998072i | ||||
\(316\) | 13.7915 | 0.775834 | ||||||||
\(317\) | −14.2760 | + | 3.82525i | −0.801822 | + | 0.214848i | −0.636384 | − | 0.771373i | \(-0.719571\pi\) |
−0.165438 | + | 0.986220i | \(0.552904\pi\) | |||||||
\(318\) | 10.3028 | + | 6.40801i | 0.577751 | + | 0.359344i | ||||
\(319\) | −4.28658 | + | 2.47486i | −0.240002 | + | 0.138565i | ||||
\(320\) | 7.51894 | − | 2.31145i | 0.420322 | − | 0.129214i | ||||
\(321\) | 1.73747 | + | 7.45474i | 0.0969759 | + | 0.416083i | ||||
\(322\) | 2.80720 | + | 0.483339i | 0.156439 | + | 0.0269354i | ||||
\(323\) | −6.47073 | + | 6.47073i | −0.360041 | + | 0.360041i | ||||
\(324\) | 9.71260 | + | 7.45852i | 0.539589 | + | 0.414362i | ||||
\(325\) | −1.16266 | + | 1.34584i | −0.0644926 | + | 0.0746537i | ||||
\(326\) | −10.3061 | −0.570803 | ||||||||
\(327\) | −10.3466 | − | 0.339682i | −0.572168 | − | 0.0187845i | ||||
\(328\) | 1.11138 | − | 0.297793i | 0.0613656 | − | 0.0164429i | ||||
\(329\) | −17.5706 | + | 12.4088i | −0.968699 | + | 0.684120i | ||||
\(330\) | 5.09959 | + | 2.91962i | 0.280723 | + | 0.160720i | ||||
\(331\) | 3.28364 | − | 5.68743i | 0.180485 | − | 0.312610i | −0.761561 | − | 0.648094i | \(-0.775567\pi\) |
0.942046 | + | 0.335484i | \(0.108900\pi\) | |||||||
\(332\) | −6.13285 | − | 22.8881i | −0.336584 | − | 1.25615i | ||||
\(333\) | −16.5840 | − | 18.9175i | −0.908796 | − | 1.03668i | ||||
\(334\) | 3.52479 | + | 6.10511i | 0.192868 | + | 0.334057i | ||||
\(335\) | 32.9789 | − | 1.20253i | 1.80183 | − | 0.0657012i | ||||
\(336\) | 2.49116 | − | 0.826300i | 0.135904 | − | 0.0450784i | ||||
\(337\) | 13.6413 | − | 3.65517i | 0.743087 | − | 0.199110i | 0.132638 | − | 0.991165i | \(-0.457655\pi\) |
0.610450 | + | 0.792055i | \(0.290989\pi\) | |||||||
\(338\) | −7.27855 | + | 7.27855i | −0.395901 | + | 0.395901i | ||||
\(339\) | −22.4977 | − | 24.0250i | −1.22191 | − | 1.30486i | ||||
\(340\) | −2.87041 | + | 5.41857i | −0.155670 | + | 0.293863i | ||||
\(341\) | 6.64754 | − | 3.83796i | 0.359985 | − | 0.207837i | ||||
\(342\) | −10.6828 | + | 2.12286i | −0.577660 | + | 0.114791i | ||||
\(343\) | −16.1497 | − | 9.06571i | −0.872002 | − | 0.489503i | ||||
\(344\) | 19.5228 | − | 11.2715i | 1.05260 | − | 0.607719i | ||||
\(345\) | 5.21491 | − | 0.0189248i | 0.280762 | − | 0.00101888i | ||||
\(346\) | 15.9034 | − | 9.18185i | 0.854974 | − | 0.493620i | ||||
\(347\) | −7.09254 | + | 26.4697i | −0.380747 | + | 1.42097i | 0.464015 | + | 0.885827i | \(0.346408\pi\) |
−0.844763 | + | 0.535141i | \(0.820258\pi\) | |||||||
\(348\) | 0.201718 | − | 6.14427i | 0.0108132 | − | 0.329367i | ||||
\(349\) | −5.35414 | − | 9.27365i | −0.286601 | − | 0.496407i | 0.686395 | − | 0.727229i | \(-0.259192\pi\) |
−0.972996 | + | 0.230822i | \(0.925859\pi\) | |||||||
\(350\) | −9.90165 | − | 3.72035i | −0.529265 | − | 0.198861i | ||||
\(351\) | −0.300563 | − | 1.82367i | −0.0160428 | − | 0.0973402i | ||||
\(352\) | 2.86430 | − | 10.6897i | 0.152668 | − | 0.569764i | ||||
\(353\) | −12.9115 | − | 12.9115i | −0.687207 | − | 0.687207i | 0.274407 | − | 0.961614i | \(-0.411519\pi\) |
−0.961614 | + | 0.274407i | \(0.911519\pi\) | |||||||
\(354\) | 9.83326 | + | 2.98389i | 0.522632 | + | 0.158592i | ||||
\(355\) | −2.11643 | − | 6.88455i | −0.112328 | − | 0.365394i | ||||
\(356\) | 2.03982 | + | 1.17769i | 0.108110 | + | 0.0624174i | ||||
\(357\) | 4.14251 | − | 8.25452i | 0.219245 | − | 0.436876i | ||||
\(358\) | −4.88599 | − | 1.30920i | −0.258233 | − | 0.0691932i | ||||
\(359\) | −6.12023 | + | 3.53352i | −0.323013 | + | 0.186492i | −0.652735 | − | 0.757586i | \(-0.726378\pi\) |
0.329722 | + | 0.944078i | \(0.393045\pi\) | |||||||
\(360\) | −15.8672 | + | 8.55348i | −0.836277 | + | 0.450808i | ||||
\(361\) | −0.808341 | + | 1.40009i | −0.0425442 | + | 0.0736888i | ||||
\(362\) | 4.03508 | + | 15.0591i | 0.212079 | + | 0.791490i | ||||
\(363\) | −11.3034 | + | 6.04042i | −0.593273 | + | 0.317040i | ||||
\(364\) | −1.16271 | − | 0.536490i | −0.0609424 | − | 0.0281197i | ||||
\(365\) | 11.0980 | + | 17.6997i | 0.580894 | + | 0.926445i | ||||
\(366\) | −6.33024 | + | 1.47538i | −0.330887 | + | 0.0771194i | ||||
\(367\) | −15.4582 | + | 15.4582i | −0.806912 | + | 0.806912i | −0.984165 | − | 0.177253i | \(-0.943279\pi\) |
0.177253 | + | 0.984165i | \(0.443279\pi\) | |||||||
\(368\) | −0.199599 | − | 0.744912i | −0.0104048 | − | 0.0388312i | ||||
\(369\) | −1.15218 | + | 0.567925i | −0.0599802 | + | 0.0295650i | ||||
\(370\) | 14.3314 | − | 4.40570i | 0.745052 | − | 0.229041i | ||||
\(371\) | −18.9333 | + | 13.3712i | −0.982970 | + | 0.694198i | ||||
\(372\) | −0.312821 | + | 9.52840i | −0.0162190 | + | 0.494025i | ||||
\(373\) | 13.2315 | − | 13.2315i | 0.685103 | − | 0.685103i | −0.276042 | − | 0.961145i | \(-0.589023\pi\) |
0.961145 | + | 0.276042i | \(0.0890230\pi\) | |||||||
\(374\) | −1.52891 | − | 2.64815i | −0.0790579 | − | 0.136932i | ||||
\(375\) | −19.0335 | − | 3.56735i | −0.982886 | − | 0.184217i | ||||
\(376\) | −18.9201 | − | 10.9235i | −0.975729 | − | 0.563338i | ||||
\(377\) | −0.656086 | + | 0.656086i | −0.0337901 | + | 0.0337901i | ||||
\(378\) | 9.55888 | − | 5.42791i | 0.491656 | − | 0.279181i | ||||
\(379\) | 14.4563i | 0.742571i | 0.928519 | + | 0.371285i | \(0.121083\pi\) | ||||
−0.928519 | + | 0.371285i | \(0.878917\pi\) | |||||||
\(380\) | −3.08692 | + | 13.4655i | −0.158355 | + | 0.690767i | ||||
\(381\) | −13.3902 | − | 4.06324i | −0.686000 | − | 0.208166i | ||||
\(382\) | −4.60934 | + | 17.2023i | −0.235835 | + | 0.880147i | ||||
\(383\) | 6.79699 | + | 6.79699i | 0.347310 | + | 0.347310i | 0.859107 | − | 0.511797i | \(-0.171020\pi\) |
−0.511797 | + | 0.859107i | \(0.671020\pi\) | |||||||
\(384\) | 10.4794 | + | 11.1908i | 0.534775 | + | 0.571080i | ||||
\(385\) | −8.92767 | + | 6.80574i | −0.454996 | + | 0.346853i | ||||
\(386\) | 7.57181 | 0.385395 | ||||||||
\(387\) | −18.9252 | + | 16.5907i | −0.962022 | + | 0.843352i | ||||
\(388\) | 8.62262 | − | 2.31042i | 0.437747 | − | 0.117294i | ||||
\(389\) | 4.44912i | 0.225579i | 0.993619 | + | 0.112790i | \(0.0359786\pi\) | ||||
−0.993619 | + | 0.112790i | \(0.964021\pi\) | |||||||
\(390\) | 1.06502 | + | 0.281232i | 0.0539292 | + | 0.0142407i | ||||
\(391\) | −2.35014 | − | 1.35685i | −0.118852 | − | 0.0686191i | ||||
\(392\) | 1.48844 | − | 18.7510i | 0.0751777 | − | 0.947067i | ||||
\(393\) | 7.97057 | + | 14.9152i | 0.402062 | + | 0.752375i | ||||
\(394\) | 3.41196 | + | 1.96989i | 0.171892 | + | 0.0992419i | ||||
\(395\) | 5.06437 | − | 22.0914i | 0.254816 | − | 1.11154i | ||||
\(396\) | −0.508040 | + | 7.72902i | −0.0255300 | + | 0.388398i | ||||
\(397\) | 6.67418 | + | 1.78834i | 0.334967 | + | 0.0897542i | 0.422382 | − | 0.906418i | \(-0.361194\pi\) |
−0.0874150 | + | 0.996172i | \(0.527861\pi\) | |||||||
\(398\) | 0.0961359 | − | 0.358784i | 0.00481886 | − | 0.0179842i | ||||
\(399\) | 4.20159 | − | 20.3788i | 0.210342 | − | 1.02022i | ||||
\(400\) | 0.208564 | + | 2.85609i | 0.0104282 | + | 0.142804i | ||||
\(401\) | 27.5158 | 1.37407 | 0.687037 | − | 0.726622i | \(-0.258911\pi\) | ||||
0.687037 | + | 0.726622i | \(0.258911\pi\) | |||||||
\(402\) | −9.63329 | − | 18.0267i | −0.480465 | − | 0.899089i | ||||
\(403\) | 1.01744 | − | 1.01744i | 0.0506825 | − | 0.0506825i | ||||
\(404\) | 11.6560 | + | 20.1888i | 0.579908 | + | 1.00443i | ||||
\(405\) | 15.5137 | − | 12.8189i | 0.770882 | − | 0.636978i | ||||
\(406\) | −5.01063 | − | 2.31198i | −0.248673 | − | 0.114742i | ||||
\(407\) | 4.11843 | − | 15.3702i | 0.204143 | − | 0.761872i | ||||
\(408\) | 9.37508 | + | 0.307787i | 0.464135 | + | 0.0152377i | ||||
\(409\) | −16.9076 | − | 29.2848i | −0.836026 | − | 1.44804i | −0.893192 | − | 0.449675i | \(-0.851540\pi\) |
0.0571656 | − | 0.998365i | \(-0.481794\pi\) | |||||||
\(410\) | −0.0278965 | − | 0.765050i | −0.00137771 | − | 0.0377831i | ||||
\(411\) | 31.0615 | + | 9.42557i | 1.53215 | + | 0.464929i | ||||
\(412\) | −20.8585 | − | 5.58901i | −1.02762 | − | 0.275351i | ||||
\(413\) | −12.5581 | + | 15.0891i | −0.617944 | + | 0.742488i | ||||
\(414\) | −1.42801 | − | 2.89708i | −0.0701828 | − | 0.142384i | ||||
\(415\) | −38.9145 | + | 1.41896i | −1.91024 | + | 0.0696542i | ||||
\(416\) | − | 2.07452i | − | 0.101712i | ||||||
\(417\) | −0.136417 | + | 4.15523i | −0.00668039 | + | 0.203482i | ||||
\(418\) | −4.87132 | − | 4.87132i | −0.238264 | − | 0.238264i | ||||
\(419\) | 12.1462 | − | 21.0378i | 0.593380 | − | 1.02776i | −0.400393 | − | 0.916343i | \(-0.631127\pi\) |
0.993773 | − | 0.111421i | \(-0.0355402\pi\) | |||||||
\(420\) | −1.32148 | − | 13.8799i | −0.0644816 | − | 0.677270i | ||||
\(421\) | −2.49624 | − | 4.32361i | −0.121659 | − | 0.210720i | 0.798763 | − | 0.601646i | \(-0.205488\pi\) |
−0.920422 | + | 0.390926i | \(0.872155\pi\) | |||||||
\(422\) | −4.57925 | + | 17.0900i | −0.222914 | + | 0.831928i | ||||
\(423\) | 23.0948 | + | 7.84446i | 1.12291 | + | 0.381411i | ||||
\(424\) | −20.3875 | − | 11.7707i | −0.990104 | − | 0.571637i | ||||
\(425\) | 7.62550 | + | 6.58760i | 0.369891 | + | 0.319545i | ||||
\(426\) | −3.25615 | + | 3.04915i | −0.157761 | + | 0.147732i | ||||
\(427\) | 2.10700 | − | 12.2373i | 0.101965 | − | 0.592206i | ||||
\(428\) | −1.55635 | − | 5.80836i | −0.0752288 | − | 0.280758i | ||||
\(429\) | 0.853321 | − | 0.799072i | 0.0411987 | − | 0.0385796i | ||||
\(430\) | −4.40748 | − | 14.3372i | −0.212547 | − | 0.691399i | ||||
\(431\) | −2.71752 | + | 4.70688i | −0.130898 | + | 0.226723i | −0.924023 | − | 0.382337i | \(-0.875119\pi\) |
0.793125 | + | 0.609059i | \(0.208453\pi\) | |||||||
\(432\) | −2.41858 | − | 1.73416i | −0.116364 | − | 0.0834346i | ||||
\(433\) | 12.6985 | + | 12.6985i | 0.610249 | + | 0.610249i | 0.943011 | − | 0.332762i | \(-0.107981\pi\) |
−0.332762 | + | 0.943011i | \(0.607981\pi\) | |||||||
\(434\) | 7.77038 | + | 3.58537i | 0.372990 | + | 0.172103i | ||||
\(435\) | −9.76789 | − | 2.57934i | −0.468334 | − | 0.123670i | ||||
\(436\) | 8.13246 | 0.389474 | ||||||||
\(437\) | −5.90551 | − | 1.58238i | −0.282499 | − | 0.0756954i | ||||
\(438\) | 6.83376 | − | 10.9873i | 0.326529 | − | 0.524992i | ||||
\(439\) | −5.08944 | + | 8.81517i | −0.242906 | + | 0.420725i | −0.961541 | − | 0.274662i | \(-0.911434\pi\) |
0.718635 | + | 0.695388i | \(0.244767\pi\) | |||||||
\(440\) | −10.0752 | − | 5.33717i | −0.480315 | − | 0.254440i | ||||
\(441\) | 2.45033 | + | 20.8566i | 0.116683 | + | 0.993169i | ||||
\(442\) | −0.405314 | − | 0.405314i | −0.0192788 | − | 0.0192788i | ||||
\(443\) | 1.20215 | + | 4.48649i | 0.0571159 | + | 0.213159i | 0.988586 | − | 0.150659i | \(-0.0481395\pi\) |
−0.931470 | + | 0.363818i | \(0.881473\pi\) | |||||||
\(444\) | 13.5087 | + | 14.4258i | 0.641093 | + | 0.684617i | ||||
\(445\) | 2.63548 | − | 2.83495i | 0.124934 | − | 0.134389i | ||||
\(446\) | − | 1.68904i | − | 0.0799783i | ||||||
\(447\) | −3.38679 | − | 6.33767i | −0.160190 | − | 0.299762i | ||||
\(448\) | 8.73323 | − | 3.21852i | 0.412606 | − | 0.152061i | ||||
\(449\) | 36.0848i | 1.70295i | 0.524398 | + | 0.851474i | \(0.324291\pi\) | ||||
−0.524398 | + | 0.851474i | \(0.675709\pi\) | |||||||
\(450\) | 3.18822 | + | 11.5623i | 0.150294 | + | 0.545050i | ||||
\(451\) | −0.703636 | − | 0.406244i | −0.0331329 | − | 0.0191293i | ||||
\(452\) | 18.2835 | + | 18.2835i | 0.859984 | + | 0.859984i | ||||
\(453\) | 23.7792 | − | 12.7074i | 1.11725 | − | 0.597046i | ||||
\(454\) | 0.915160 | − | 1.58510i | 0.0429506 | − | 0.0743926i | ||||
\(455\) | −1.28631 | + | 1.66544i | −0.0603033 | + | 0.0780768i | ||||
\(456\) | 20.5813 | − | 4.79686i | 0.963808 | − | 0.224633i | ||||
\(457\) | 26.3908 | − | 7.07140i | 1.23451 | − | 0.330786i | 0.418176 | − | 0.908366i | \(-0.362669\pi\) |
0.816334 | + | 0.577580i | \(0.196003\pi\) | |||||||
\(458\) | −0.101743 | + | 0.0272621i | −0.00475415 | + | 0.00127387i | ||||
\(459\) | −10.3329 | + | 1.70298i | −0.482297 | + | 0.0794884i | ||||
\(460\) | −4.09404 | + | 0.149284i | −0.190886 | + | 0.00696039i | ||||
\(461\) | −2.22321 | + | 1.28357i | −0.103545 | + | 0.0597819i | −0.550878 | − | 0.834586i | \(-0.685707\pi\) |
0.447333 | + | 0.894367i | \(0.352374\pi\) | |||||||
\(462\) | 6.21421 | + | 3.11858i | 0.289111 | + | 0.145090i | ||||
\(463\) | −6.43065 | − | 23.9995i | −0.298858 | − | 1.11535i | −0.938105 | − | 0.346351i | \(-0.887421\pi\) |
0.639247 | − | 0.769001i | \(-0.279246\pi\) | |||||||
\(464\) | 1.49399i | 0.0693569i | ||||||||
\(465\) | 15.1478 | + | 3.99999i | 0.702464 | + | 0.185495i | ||||
\(466\) | 6.05570 | 0.280525 | ||||||||
\(467\) | 19.2509 | + | 5.15827i | 0.890827 | + | 0.238696i | 0.675073 | − | 0.737751i | \(-0.264112\pi\) |
0.215755 | + | 0.976448i | \(0.430779\pi\) | |||||||
\(468\) | 0.282997 | + | 1.42412i | 0.0130816 | + | 0.0658299i | ||||
\(469\) | 38.8844 | − | 3.55977i | 1.79552 | − | 0.164375i | ||||
\(470\) | −9.89731 | + | 10.6464i | −0.456529 | + | 0.491082i | ||||
\(471\) | 35.2012 | − | 8.20430i | 1.62199 | − | 0.378034i | ||||
\(472\) | −19.2590 | − | 5.16043i | −0.886467 | − | 0.237528i | ||||
\(473\) | −15.3764 | − | 4.12009i | −0.707008 | − | 0.189442i | ||||
\(474\) | −13.6710 | + | 3.18627i | −0.627928 | + | 0.146350i | ||||
\(475\) | 20.4357 | + | 9.88932i | 0.937655 | + | 0.453753i | ||||
\(476\) | −3.03975 | + | 6.58788i | −0.139327 | + | 0.301955i | ||||
\(477\) | 24.8860 | + | 8.45285i | 1.13945 | + | 0.387030i | ||||
\(478\) | −6.97683 | − | 1.86944i | −0.319113 | − | 0.0855060i | ||||
\(479\) | 13.6387 | 0.623167 | 0.311584 | − | 0.950219i | \(-0.399141\pi\) | ||||
0.311584 | + | 0.950219i | \(0.399141\pi\) | |||||||
\(480\) | 19.5208 | − | 11.3650i | 0.890997 | − | 0.518737i | ||||
\(481\) | − | 2.98284i | − | 0.136006i | ||||||
\(482\) | 3.32771 | + | 12.4192i | 0.151573 | + | 0.565678i | ||||
\(483\) | 6.15986 | − | 0.360606i | 0.280284 | − | 0.0164081i | ||||
\(484\) | 8.71922 | − | 5.03404i | 0.396328 | − | 0.228820i | ||||
\(485\) | −0.534565 | − | 14.6602i | −0.0242734 | − | 0.665687i | ||||
\(486\) | −11.3509 | − | 5.14941i | −0.514885 | − | 0.233582i | ||||
\(487\) | 0.813737 | − | 0.218040i | 0.0368739 | − | 0.00988034i | −0.240335 | − | 0.970690i | \(-0.577257\pi\) |
0.277209 | + | 0.960810i | \(0.410591\pi\) | |||||||
\(488\) | 12.1819 | − | 3.26413i | 0.551449 | − | 0.147760i | ||||
\(489\) | −21.7423 | + | 5.06745i | −0.983220 | + | 0.229158i | ||||
\(490\) | −11.9395 | − | 3.75312i | −0.539371 | − | 0.169549i | ||||
\(491\) | −12.3106 | + | 21.3225i | −0.555568 | + | 0.962271i | 0.442292 | + | 0.896871i | \(0.354166\pi\) |
−0.997859 | + | 0.0653999i | \(0.979168\pi\) | |||||||
\(492\) | 0.890005 | − | 0.475610i | 0.0401245 | − | 0.0214422i | ||||
\(493\) | 3.71737 | + | 3.71737i | 0.167422 | + | 0.167422i | ||||
\(494\) | −1.11838 | − | 0.645694i | −0.0503181 | − | 0.0290512i | ||||
\(495\) | 12.1939 | + | 3.65195i | 0.548074 | + | 0.164143i | ||||
\(496\) | − | 2.31686i | − | 0.104030i | ||||||
\(497\) | −2.94697 | − | 7.99639i | −0.132189 | − | 0.358687i | ||||
\(498\) | 11.3671 | + | 21.2712i | 0.509373 | + | 0.953184i | ||||
\(499\) | 7.38528i | 0.330610i | 0.986242 | + | 0.165305i | \(0.0528609\pi\) | ||||
−0.986242 | + | 0.165305i | \(0.947139\pi\) | |||||||
\(500\) | 15.0362 | + | 2.31031i | 0.672441 | + | 0.103320i | ||||
\(501\) | 10.4379 | + | 11.1465i | 0.466331 | + | 0.497990i | ||||
\(502\) | −2.32956 | − | 8.69404i | −0.103973 | − | 0.388034i | ||||
\(503\) | 28.2531 | + | 28.2531i | 1.25974 | + | 1.25974i | 0.951215 | + | 0.308530i | \(0.0998370\pi\) |
0.308530 | + | 0.951215i | \(0.400163\pi\) | |||||||
\(504\) | −18.1913 | + | 11.1346i | −0.810307 | + | 0.495973i | ||||
\(505\) | 36.6189 | − | 11.2572i | 1.62952 | − | 0.500940i | ||||
\(506\) | 1.02147 | − | 1.76924i | 0.0454100 | − | 0.0786525i | ||||
\(507\) | −11.7764 | + | 18.9340i | −0.523007 | + | 0.840888i | ||||
\(508\) | 10.6181 | + | 2.84512i | 0.471104 | + | 0.126232i | ||||
\(509\) | −12.3062 | −0.545463 | −0.272732 | − | 0.962090i | \(-0.587927\pi\) | ||||
−0.272732 | + | 0.962090i | \(0.587927\pi\) | |||||||
\(510\) | 1.59346 | − | 6.03436i | 0.0705594 | − | 0.267206i | ||||
\(511\) | 14.2596 | + | 20.1913i | 0.630806 | + | 0.893208i | ||||
\(512\) | −4.53849 | − | 4.53849i | −0.200575 | − | 0.200575i | ||||
\(513\) | −21.4931 | + | 9.73114i | −0.948946 | + | 0.429640i | ||||
\(514\) | −2.26218 | + | 3.91822i | −0.0997807 | + | 0.172825i | ||||
\(515\) | −16.6119 | + | 31.3590i | −0.732010 | + | 1.38184i | ||||
\(516\) | 14.4316 | − | 13.5141i | 0.635316 | − | 0.594926i | ||||
\(517\) | 3.99289 | + | 14.9017i | 0.175607 | + | 0.655375i | ||||
\(518\) | 16.6458 | − | 6.13461i | 0.731376 | − | 0.269539i | ||||
\(519\) | 29.0360 | − | 27.1901i | 1.27454 | − | 1.19351i | ||||
\(520\) | −2.08322 | − | 0.477570i | −0.0913554 | − | 0.0209428i | ||||
\(521\) | −30.8984 | − | 17.8392i | −1.35368 | − | 0.781550i | −0.364920 | − | 0.931039i | \(-0.618904\pi\) |
−0.988763 | + | 0.149489i | \(0.952237\pi\) | |||||||
\(522\) | 1.21956 | + | 6.13716i | 0.0533788 | + | 0.268616i | ||||
\(523\) | −3.40911 | + | 12.7230i | −0.149070 | + | 0.556336i | 0.850471 | + | 0.526023i | \(0.176317\pi\) |
−0.999540 | + | 0.0303136i | \(0.990349\pi\) | |||||||
\(524\) | −6.64262 | − | 11.5054i | −0.290184 | − | 0.502614i | ||||
\(525\) | −22.7183 | − | 2.98006i | −0.991506 | − | 0.130060i | ||||
\(526\) | −0.974751 | + | 1.68832i | −0.0425012 | + | 0.0736142i | ||||
\(527\) | −5.76482 | − | 5.76482i | −0.251120 | − | 0.251120i | ||||
\(528\) | 0.0617657 | − | 1.88136i | 0.00268800 | − | 0.0818757i | ||||
\(529\) | 21.1870i | 0.921172i | ||||||||
\(530\) | −10.6649 | + | 11.4721i | −0.463254 | + | 0.498317i | ||||
\(531\) | 22.2119 | + | 1.46002i | 0.963914 | + | 0.0633595i | ||||
\(532\) | −2.77360 | + | 16.1089i | −0.120251 | + | 0.698409i | ||||
\(533\) | −0.147115 | − | 0.0394193i | −0.00637225 | − | 0.00170744i | ||||
\(534\) | −2.29407 | − | 0.696134i | −0.0992742 | − | 0.0301247i | ||||
\(535\) | −9.87541 | + | 0.360093i | −0.426951 | + | 0.0155682i | ||||
\(536\) | 19.8289 | + | 34.3447i | 0.856478 | + | 1.48346i | ||||
\(537\) | −10.9514 | − | 0.359539i | −0.472590 | − | 0.0155153i | ||||
\(538\) | −1.19181 | + | 4.44790i | −0.0513826 | + | 0.191763i | ||||
\(539\) | −10.1061 | + | 8.61962i | −0.435298 | + | 0.371273i | ||||
\(540\) | −11.8503 | + | 10.4648i | −0.509954 | + | 0.450332i | ||||
\(541\) | −10.4309 | − | 18.0669i | −0.448460 | − | 0.776756i | 0.549826 | − | 0.835279i | \(-0.314694\pi\) |
−0.998286 | + | 0.0585236i | \(0.981361\pi\) | |||||||
\(542\) | −14.6092 | + | 14.6092i | −0.627520 | + | 0.627520i | ||||
\(543\) | 15.9171 | + | 29.7854i | 0.683066 | + | 1.27821i | ||||
\(544\) | −11.7542 | −0.503957 | ||||||||
\(545\) | 2.98631 | − | 13.0267i | 0.127920 | − | 0.558002i | ||||
\(546\) | 1.27649 | + | 0.263179i | 0.0546288 | + | 0.0112630i | ||||
\(547\) | 7.30369 | − | 27.2577i | 0.312283 | − | 1.16546i | −0.614209 | − | 0.789143i | \(-0.710525\pi\) |
0.926492 | − | 0.376314i | \(-0.122808\pi\) | |||||||
\(548\) | −24.6311 | − | 6.59988i | −1.05219 | − | 0.281933i | ||||
\(549\) | −12.6291 | + | 6.22507i | −0.538999 | + | 0.265679i | ||||
\(550\) | −4.95931 | + | 5.74067i | −0.211466 | + | 0.244783i | ||||
\(551\) | 10.2573 | + | 5.92204i | 0.436975 | + | 0.252287i | ||||
\(552\) | 2.95369 | + | 5.52721i | 0.125717 | + | 0.235254i | ||||
\(553\) | 4.55034 | − | 26.4281i | 0.193500 | − | 1.12384i | ||||
\(554\) | −11.7828 | − | 6.80283i | −0.500605 | − | 0.289024i | ||||
\(555\) | 28.0679 | − | 16.3411i | 1.19141 | − | 0.693641i | ||||
\(556\) | − | 3.26602i | − | 0.138510i | ||||||
\(557\) | −15.9512 | + | 4.27411i | −0.675875 | + | 0.181100i | −0.580400 | − | 0.814332i | \(-0.697104\pi\) |
−0.0954749 | + | 0.995432i | \(0.530437\pi\) | |||||||
\(558\) | −1.89127 | − | 9.51739i | −0.0800640 | − | 0.402903i | ||||
\(559\) | −2.98405 | −0.126212 | ||||||||
\(560\) | 0.431656 | + | 3.36076i | 0.0182408 | + | 0.142018i | ||||
\(561\) | −4.52753 | − | 4.83490i | −0.191152 | − | 0.204130i | ||||
\(562\) | −18.2518 | − | 18.2518i | −0.769907 | − | 0.769907i | ||||
\(563\) | 4.15415 | − | 15.5035i | 0.175076 | − | 0.653394i | −0.821462 | − | 0.570263i | \(-0.806841\pi\) |
0.996539 | − | 0.0831312i | \(-0.0264920\pi\) | |||||||
\(564\) | −18.3353 | − | 5.56382i | −0.772054 | − | 0.234279i | ||||
\(565\) | 36.0006 | − | 22.5729i | 1.51456 | − | 0.949648i | ||||
\(566\) | 0.980241i | 0.0412026i | ||||||||
\(567\) | 17.4970 | − | 16.1510i | 0.734805 | − | 0.678278i | ||||
\(568\) | 6.12032 | − | 6.12032i | 0.256803 | − | 0.256803i | ||||
\(569\) | 0.476743 | + | 0.275248i | 0.0199861 | + | 0.0115390i | 0.509960 | − | 0.860198i | \(-0.329660\pi\) |
−0.489974 | + | 0.871737i | \(0.662994\pi\) | |||||||
\(570\) | −0.0510270 | − | 14.0610i | −0.00213728 | − | 0.588951i | ||||
\(571\) | −16.3710 | − | 28.3554i | −0.685105 | − | 1.18664i | −0.973404 | − | 0.229096i | \(-0.926423\pi\) |
0.288299 | − | 0.957540i | \(-0.406910\pi\) | |||||||
\(572\) | −0.649393 | + | 0.649393i | −0.0271525 | + | 0.0271525i | ||||
\(573\) | −1.26585 | + | 38.5572i | −0.0528815 | + | 1.61075i | ||||
\(574\) | −0.0825803 | − | 0.902049i | −0.00344683 | − | 0.0376508i | ||||
\(575\) | −1.26424 | + | 6.61270i | −0.0527226 | + | 0.275769i | ||||
\(576\) | −8.77392 | − | 5.86492i | −0.365580 | − | 0.244372i | ||||
\(577\) | 3.43734 | + | 12.8283i | 0.143098 | + | 0.534050i | 0.999833 | + | 0.0182920i | \(0.00582285\pi\) |
−0.856735 | + | 0.515758i | \(0.827510\pi\) | |||||||
\(578\) | 7.31515 | − | 7.31515i | 0.304270 | − | 0.304270i | ||||
\(579\) | 15.9739 | − | 3.72300i | 0.663851 | − | 0.154723i | ||||
\(580\) | 7.73582 | + | 1.77340i | 0.321212 | + | 0.0736366i | ||||
\(581\) | −45.8830 | + | 4.20047i | −1.90355 | + | 0.174265i | ||||
\(582\) | −8.01347 | + | 4.28233i | −0.332169 | + | 0.177508i | ||||
\(583\) | 4.30257 | + | 16.0574i | 0.178194 | + | 0.665030i | ||||
\(584\) | −12.5528 | + | 21.7420i | −0.519437 | + | 0.899690i | ||||
\(585\) | 2.38509 | + | 0.0696396i | 0.0986113 | + | 0.00287924i | ||||
\(586\) | 4.05598 | − | 2.34172i | 0.167551 | − | 0.0967356i | ||||
\(587\) | −5.88487 | − | 1.57685i | −0.242895 | − | 0.0650834i | 0.135318 | − | 0.990802i | \(-0.456794\pi\) |
−0.378212 | + | 0.925719i | \(0.623461\pi\) | |||||||
\(588\) | −2.46152 | − | 16.3125i | −0.101511 | − | 0.672717i | ||||
\(589\) | −15.9068 | − | 9.18378i | −0.655427 | − | 0.378411i | ||||
\(590\) | −6.21009 | + | 11.7230i | −0.255665 | + | 0.482629i | ||||
\(591\) | 8.16661 | + | 2.47815i | 0.335929 | + | 0.101937i | ||||
\(592\) | −3.39616 | − | 3.39616i | −0.139582 | − | 0.139582i | ||||
\(593\) | −0.196420 | + | 0.733049i | −0.00806599 | + | 0.0301027i | −0.969842 | − | 0.243736i | \(-0.921627\pi\) |
0.961776 | + | 0.273839i | \(0.0882935\pi\) | |||||||
\(594\) | −1.28205 | − | 7.77884i | −0.0526030 | − | 0.319170i | ||||
\(595\) | 9.43633 | + | 7.28823i | 0.386852 | + | 0.298788i | ||||
\(596\) | 2.82253 | + | 4.88877i | 0.115615 | + | 0.200252i | ||||
\(597\) | 0.0264014 | − | 0.804177i | 0.00108054 | − | 0.0329128i | ||||
\(598\) | 0.0991170 | − | 0.369910i | 0.00405320 | − | 0.0151267i | ||||
\(599\) | 28.4089 | − | 16.4019i | 1.16076 | − | 0.670163i | 0.209271 | − | 0.977858i | \(-0.432891\pi\) |
0.951485 | + | 0.307695i | \(0.0995576\pi\) | |||||||
\(600\) | −6.91882 | − | 22.2190i | −0.282460 | − | 0.907085i | ||||
\(601\) | 15.5085 | − | 8.95386i | 0.632607 | − | 0.365236i | −0.149154 | − | 0.988814i | \(-0.547655\pi\) |
0.781761 | + | 0.623578i | \(0.214322\pi\) | |||||||
\(602\) | −6.13709 | − | 16.6526i | −0.250129 | − | 0.678708i | ||||
\(603\) | −29.1864 | − | 33.2933i | −1.18856 | − | 1.35581i | ||||
\(604\) | −18.3429 | + | 10.5903i | −0.746361 | + | 0.430912i | ||||
\(605\) | −4.86182 | − | 15.8151i | −0.197661 | − | 0.642975i | ||||
\(606\) | −16.2184 | − | 17.3194i | −0.658826 | − | 0.703554i | ||||
\(607\) | −22.6668 | + | 22.6668i | −0.920015 | + | 0.920015i | −0.997030 | − | 0.0770149i | \(-0.975461\pi\) |
0.0770149 | + | 0.997030i | \(0.475461\pi\) | |||||||
\(608\) | −25.5792 | + | 6.85393i | −1.03737 | + | 0.277964i | ||||
\(609\) | −11.7074 | − | 2.41377i | −0.474410 | − | 0.0978109i | ||||
\(610\) | −0.305775 | − | 8.38576i | −0.0123805 | − | 0.339530i | ||||
\(611\) | 1.44596 | + | 2.50448i | 0.0584973 | + | 0.101320i | ||||
\(612\) | 8.06903 | − | 1.60346i | 0.326171 | − | 0.0648160i | ||||
\(613\) | 0.479975 | + | 1.79129i | 0.0193860 | + | 0.0723495i | 0.974941 | − | 0.222463i | \(-0.0714096\pi\) |
−0.955555 | + | 0.294812i | \(0.904743\pi\) | |||||||
\(614\) | −2.13562 | + | 3.69900i | −0.0861865 | + | 0.149279i | ||||
\(615\) | −0.435021 | − | 1.60027i | −0.0175417 | − | 0.0645291i | ||||
\(616\) | −12.2494 | − | 5.65204i | −0.493541 | − | 0.227727i | ||||
\(617\) | 22.6208 | − | 6.06122i | 0.910679 | − | 0.244016i | 0.227082 | − | 0.973876i | \(-0.427081\pi\) |
0.683597 | + | 0.729860i | \(0.260415\pi\) | |||||||
\(618\) | 21.9674 | + | 0.721196i | 0.883657 | + | 0.0290108i | ||||
\(619\) | 27.2421 | 1.09495 | 0.547476 | − | 0.836821i | \(-0.315589\pi\) | ||||
0.547476 | + | 0.836821i | \(0.315589\pi\) | |||||||
\(620\) | −11.9965 | − | 2.75016i | −0.481793 | − | 0.110449i | ||||
\(621\) | −4.43707 | − | 5.40968i | −0.178053 | − | 0.217083i | ||||
\(622\) | −11.8524 | + | 11.8524i | −0.475240 | + | 0.475240i | ||||
\(623\) | 2.92977 | − | 3.52025i | 0.117379 | − | 0.141036i | ||||
\(624\) | −0.0800936 | − | 0.343648i | −0.00320631 | − | 0.0137569i | ||||
\(625\) | 9.22212 | − | 23.2369i | 0.368885 | − | 0.929475i | ||||
\(626\) | 8.62751 | − | 4.98109i | 0.344825 | − | 0.199085i | ||||
\(627\) | −12.6720 | − | 7.88158i | −0.506070 | − | 0.314760i | ||||
\(628\) | −27.4270 | + | 7.34905i | −1.09446 | + | 0.293259i | ||||
\(629\) | −16.9007 | −0.673877 | ||||||||
\(630\) | 4.51662 | + | 13.4533i | 0.179946 | + | 0.535991i | ||||
\(631\) | 22.8338 | 0.908998 | 0.454499 | − | 0.890747i | \(-0.349818\pi\) | ||||
0.454499 | + | 0.890747i | \(0.349818\pi\) | |||||||
\(632\) | 26.3084 | − | 7.04931i | 1.04649 | − | 0.280406i | ||||
\(633\) | −1.25758 | + | 38.3054i | −0.0499843 | + | 1.52250i | ||||
\(634\) | −10.2343 | + | 5.90878i | −0.406457 | + | 0.234668i | ||||
\(635\) | 8.45643 | − | 15.9635i | 0.335583 | − | 0.633493i | ||||
\(636\) | −19.7573 | − | 5.99533i | −0.783428 | − | 0.237730i | ||||
\(637\) | −1.41168 | + | 2.05104i | −0.0559326 | + | 0.0812651i | ||||
\(638\) | −2.79853 | + | 2.79853i | −0.110795 | + | 0.110795i | ||||
\(639\) | −5.37009 | + | 8.03365i | −0.212437 | + | 0.317806i | ||||
\(640\) | −16.7691 | + | 10.5144i | −0.662855 | + | 0.415620i | ||||
\(641\) | −18.4180 | −0.727466 | −0.363733 | − | 0.931503i | \(-0.618498\pi\) | ||||
−0.363733 | + | 0.931503i | \(0.618498\pi\) | |||||||
\(642\) | 2.88466 | + | 5.39803i | 0.113848 | + | 0.213043i | ||||
\(643\) | −45.7457 | + | 12.2575i | −1.80403 | + | 0.483389i | −0.994596 | − | 0.103819i | \(-0.966894\pi\) |
−0.809436 | + | 0.587208i | \(0.800227\pi\) | |||||||
\(644\) | −4.82717 | + | 0.441915i | −0.190217 | + | 0.0174139i | ||||
\(645\) | −16.3477 | − | 28.0792i | −0.643690 | − | 1.10562i | ||||
\(646\) | −3.65849 | + | 6.33670i | −0.143942 | + | 0.249314i | ||||
\(647\) | −0.633107 | − | 2.36279i | −0.0248900 | − | 0.0928907i | 0.952364 | − | 0.304965i | \(-0.0986448\pi\) |
−0.977254 | + | 0.212074i | \(0.931978\pi\) | |||||||
\(648\) | 22.3398 | + | 9.26326i | 0.877592 | + | 0.363895i | ||||
\(649\) | 7.03977 | + | 12.1932i | 0.276335 | + | 0.478627i | ||||
\(650\) | −0.619448 | + | 1.28005i | −0.0242967 | + | 0.0502078i | ||||
\(651\) | 18.1557 | + | 3.74322i | 0.711577 | + | 0.146709i | ||||
\(652\) | 16.9405 | − | 4.53919i | 0.663441 | − | 0.177768i | ||||
\(653\) | 16.5927 | − | 16.5927i | 0.649322 | − | 0.649322i | −0.303507 | − | 0.952829i | \(-0.598158\pi\) |
0.952829 | + | 0.303507i | \(0.0981575\pi\) | |||||||
\(654\) | −8.06138 | + | 1.87885i | −0.315225 | + | 0.0734690i | ||||
\(655\) | −20.8687 | + | 6.41537i | −0.815406 | + | 0.250669i | ||||
\(656\) | −0.212381 | + | 0.122618i | −0.00829210 | + | 0.00478745i | ||||
\(657\) | 9.01445 | − | 26.5394i | 0.351687 | − | 1.03540i | ||||
\(658\) | −11.0025 | + | 13.2200i | −0.428922 | + | 0.515370i | ||||
\(659\) | 17.3437 | − | 10.0134i | 0.675615 | − | 0.390067i | −0.122586 | − | 0.992458i | \(-0.539119\pi\) |
0.798201 | + | 0.602391i | \(0.205785\pi\) | |||||||
\(660\) | −9.66826 | − | 2.55303i | −0.376336 | − | 0.0993767i | ||||
\(661\) | −0.625471 | + | 0.361116i | −0.0243280 | + | 0.0140458i | −0.512115 | − | 0.858917i | \(-0.671138\pi\) |
0.487787 | + | 0.872963i | \(0.337804\pi\) | |||||||
\(662\) | 1.35908 | − | 5.07217i | 0.0528223 | − | 0.197135i | ||||
\(663\) | −1.05436 | − | 0.655779i | −0.0409479 | − | 0.0254684i | ||||
\(664\) | −23.3978 | − | 40.5261i | −0.908010 | − | 1.57272i | ||||
\(665\) | 24.7849 | + | 10.3581i | 0.961119 | + | 0.401670i | ||||
\(666\) | −16.7234 | − | 11.1787i | −0.648019 | − | 0.433168i | ||||
\(667\) | −0.909061 | + | 3.39266i | −0.0351990 | + | 0.131364i | ||||
\(668\) | −8.48271 | − | 8.48271i | −0.328206 | − | 0.328206i | ||||
\(669\) | −0.830488 | − | 3.56328i | −0.0321085 | − | 0.137764i | ||||
\(670\) | 25.2220 | − | 7.75366i | 0.974411 | − | 0.299550i | ||||
\(671\) | −7.71260 | − | 4.45287i | −0.297742 | − | 0.171901i | ||||
\(672\) | 22.3254 | − | 14.6931i | 0.861221 | − | 0.566800i | ||||
\(673\) | −26.4663 | − | 7.09161i | −1.02020 | − | 0.273362i | −0.290314 | − | 0.956931i | \(-0.593760\pi\) |
−0.729885 | + | 0.683570i | \(0.760426\pi\) | |||||||
\(674\) | 9.77926 | − | 5.64606i | 0.376683 | − | 0.217478i | ||||
\(675\) | 12.4111 | + | 22.8247i | 0.477703 | + | 0.878521i | ||||
\(676\) | 8.75824 | − | 15.1697i | 0.336856 | − | 0.583451i | ||||
\(677\) | −8.20765 | − | 30.6314i | −0.315446 | − | 1.17726i | −0.923574 | − | 0.383421i | \(-0.874746\pi\) |
0.608128 | − | 0.793839i | \(-0.291921\pi\) | |||||||
\(678\) | −22.3478 | − | 13.8996i | −0.858260 | − | 0.533812i | ||||
\(679\) | −1.58244 | − | 17.2855i | −0.0607285 | − | 0.663355i | ||||
\(680\) | −2.70590 | + | 11.8035i | −0.103767 | + | 0.452644i | ||||
\(681\) | 1.15128 | − | 3.79399i | 0.0441172 | − | 0.145386i | ||||
\(682\) | 4.33990 | − | 4.33990i | 0.166183 | − | 0.166183i | ||||
\(683\) | −5.84528 | − | 21.8149i | −0.223663 | − | 0.834724i | −0.982936 | − | 0.183950i | \(-0.941111\pi\) |
0.759272 | − | 0.650773i | \(-0.225555\pi\) | |||||||
\(684\) | 16.6247 | − | 8.19451i | 0.635660 | − | 0.313325i | ||||
\(685\) | −19.6165 | + | 37.0309i | −0.749509 | + | 1.41488i | ||||
\(686\) | −14.3492 | − | 3.65966i | −0.547854 | − | 0.139727i | ||||
\(687\) | −0.201238 | + | 0.107540i | −0.00767771 | + | 0.00410290i | ||||
\(688\) | −3.39754 | + | 3.39754i | −0.129530 | + | 0.129530i | ||||
\(689\) | 1.55811 | + | 2.69872i | 0.0593591 | + | 0.102813i | ||||
\(690\) | 4.02377 | − | 1.09383i | 0.153182 | − | 0.0416414i | ||||
\(691\) | −7.75267 | − | 4.47600i | −0.294925 | − | 0.170275i | 0.345236 | − | 0.938516i | \(-0.387799\pi\) |
−0.640161 | + | 0.768241i | \(0.721132\pi\) | |||||||
\(692\) | −22.0969 | + | 22.0969i | −0.840000 | + | 0.840000i | ||||
\(693\) | 14.6432 | + | 3.52363i | 0.556248 | + | 0.133852i | ||||
\(694\) | 21.9114i | 0.831744i | ||||||||
\(695\) | −5.23156 | − | 1.19931i | −0.198444 | − | 0.0454925i | ||||
\(696\) | −2.75575 | − | 11.8238i | −0.104456 | − | 0.448179i | ||||
\(697\) | −0.223349 | + | 0.833550i | −0.00845994 | + | 0.0315729i | ||||
\(698\) | −6.05437 | − | 6.05437i | −0.229161 | − | 0.229161i | ||||
\(699\) | 12.7754 | − | 2.97754i | 0.483210 | − | 0.112621i | ||||
\(700\) | 17.9142 | + | 1.75421i | 0.677094 | + | 0.0663028i | ||||
\(701\) | 28.2460 | 1.06684 | 0.533419 | − | 0.845851i | \(-0.320907\pi\) | ||||
0.533419 | + | 0.845851i | \(0.320907\pi\) | |||||||
\(702\) | −0.609540 | − | 1.34629i | −0.0230056 | − | 0.0508124i | ||||
\(703\) | −36.7790 | + | 9.85491i | −1.38715 | + | 0.371685i | ||||
\(704\) | − | 6.67527i | − | 0.251584i | ||||||
\(705\) | −15.6451 | + | 27.3266i | −0.589227 | + | 1.02918i | ||||
\(706\) | −12.6440 | − | 7.30002i | −0.475864 | − | 0.274740i | ||||
\(707\) | 42.5327 | − | 15.6749i | 1.59961 | − | 0.589514i | ||||
\(708\) | −17.4775 | − | 0.573791i | −0.656843 | − | 0.0215644i | ||||
\(709\) | 16.6092 | + | 9.58931i | 0.623770 | + | 0.360134i | 0.778335 | − | 0.627849i | \(-0.216064\pi\) |
−0.154565 | + | 0.987983i | \(0.549398\pi\) | |||||||
\(710\) | −3.05934 | − | 4.87922i | −0.114815 | − | 0.183114i | ||||
\(711\) | −27.2743 | + | 13.4438i | −1.02286 | + | 0.504183i | ||||
\(712\) | 4.49307 | + | 1.20391i | 0.168385 | + | 0.0451186i | ||||
\(713\) | 1.40975 | − | 5.26127i | 0.0527956 | − | 0.197036i | ||||
\(714\) | 1.49117 | − | 7.23257i | 0.0558056 | − | 0.270672i | ||||
\(715\) | 0.801744 | + | 1.27867i | 0.0299835 | + | 0.0478195i | ||||
\(716\) | 8.60787 | 0.321691 | ||||||||
\(717\) | −15.6378 | − | 0.513395i | −0.584006 | − | 0.0191731i | ||||
\(718\) | −3.99564 | + | 3.99564i | −0.149116 | + | 0.149116i | ||||
\(719\) | −13.9884 | − | 24.2287i | −0.521681 | − | 0.903578i | −0.999682 | − | 0.0252186i | \(-0.991972\pi\) |
0.478001 | − | 0.878359i | \(-0.341362\pi\) | |||||||
\(720\) | 2.79487 | − | 2.63629i | 0.104159 | − | 0.0982488i | ||||
\(721\) | −17.5920 | + | 38.1262i | −0.655159 | + | 1.41989i | ||||
\(722\) | −0.334568 | + | 1.24863i | −0.0124513 | + | 0.0464691i | ||||
\(723\) | 13.1267 | + | 24.5639i | 0.488187 | + | 0.913540i | ||||
\(724\) | −13.2652 | − | 22.9759i | −0.492996 | − | 0.853894i | ||||
\(725\) | 5.68132 | − | 11.7401i | 0.210999 | − | 0.436017i | ||||
\(726\) | −7.47998 | + | 7.00445i | −0.277608 | + | 0.259960i | ||||
\(727\) | 48.8362 | + | 13.0856i | 1.81123 | + | 0.485319i | 0.995638 | − | 0.0933035i | \(-0.0297427\pi\) |
0.815596 | + | 0.578622i | \(0.196409\pi\) | |||||||
\(728\) | −2.49217 | − | 0.429098i | −0.0923660 | − | 0.0159034i | ||||
\(729\) | −26.4782 | − | 5.28231i | −0.980676 | − | 0.195641i | ||||
\(730\) | 12.2343 | + | 11.3735i | 0.452812 | + | 0.420951i | ||||
\(731\) | 16.9076i | 0.625349i | ||||||||
\(732\) | 9.75540 | − | 5.21320i | 0.360570 | − | 0.192685i | ||||
\(733\) | 8.77240 | + | 8.77240i | 0.324016 | + | 0.324016i | 0.850305 | − | 0.526289i | \(-0.176417\pi\) |
−0.526289 | + | 0.850305i | \(0.676417\pi\) | |||||||
\(734\) | −8.73994 | + | 15.1380i | −0.322597 | + | 0.558755i | ||||
\(735\) | −27.0335 | − | 2.04721i | −0.997145 | − | 0.0755125i | ||||
\(736\) | −3.92653 | − | 6.80094i | −0.144734 | − | 0.250686i | ||||
\(737\) | 7.24809 | − | 27.0502i | 0.266987 | − | 0.996409i | ||||
\(738\) | −0.772345 | + | 0.677072i | −0.0284304 | + | 0.0249234i | ||||
\(739\) | −6.03461 | − | 3.48408i | −0.221987 | − | 0.128164i | 0.384883 | − | 0.922965i | \(-0.374242\pi\) |
−0.606870 | + | 0.794801i | \(0.707575\pi\) | |||||||
\(740\) | −21.6165 | + | 13.5538i | −0.794637 | + | 0.498249i | ||||
\(741\) | −2.67686 | − | 0.812291i | −0.0983370 | − | 0.0298402i | ||||
\(742\) | −11.8558 | + | 14.2453i | −0.435241 | + | 0.522962i | ||||
\(743\) | 0.714284 | + | 2.66574i | 0.0262045 | + | 0.0977966i | 0.977790 | − | 0.209589i | \(-0.0672126\pi\) |
−0.951585 | + | 0.307385i | \(0.900546\pi\) | |||||||
\(744\) | 4.27356 | + | 18.3361i | 0.156676 | + | 0.672232i | ||||
\(745\) | 8.86735 | − | 2.72597i | 0.324874 | − | 0.0998717i | ||||
\(746\) | 7.48100 | − | 12.9575i | 0.273899 | − | 0.474407i | ||||
\(747\) | 34.4395 | + | 39.2856i | 1.26008 | + | 1.43738i | ||||
\(748\) | 3.67945 | + | 3.67945i | 0.134534 | + | 0.134534i | ||||
\(749\) | −11.6438 | + | 1.06596i | −0.425456 | + | 0.0389494i | ||||
\(750\) | −15.4386 | + | 1.18373i | −0.563737 | + | 0.0432238i | ||||
\(751\) | 1.61214 | 0.0588277 | 0.0294138 | − | 0.999567i | \(-0.490636\pi\) | ||||
0.0294138 | + | 0.999567i | \(0.490636\pi\) | |||||||
\(752\) | 4.49784 | + | 1.20519i | 0.164019 | + | 0.0439488i | ||||
\(753\) | −9.18935 | − | 17.1959i | −0.334878 | − | 0.626655i | ||||
\(754\) | −0.370945 | + | 0.642496i | −0.0135090 | + | 0.0233983i | ||||
\(755\) | 10.2280 | + | 33.2707i | 0.372233 | + | 1.21084i | ||||
\(756\) | −13.3216 | + | 13.1321i | −0.484501 | + | 0.477610i | ||||
\(757\) | −20.4552 | − | 20.4552i | −0.743458 | − | 0.743458i | 0.229784 | − | 0.973242i | \(-0.426198\pi\) |
−0.973242 | + | 0.229784i | \(0.926198\pi\) | |||||||
\(758\) | 2.99170 | + | 11.1652i | 0.108663 | + | 0.405537i | ||||
\(759\) | 1.28502 | − | 4.23473i | 0.0466434 | − | 0.153711i | ||||
\(760\) | 0.994158 | + | 27.2644i | 0.0360619 | + | 0.988982i | ||||
\(761\) | 9.49362i | 0.344143i | 0.985084 | + | 0.172072i | \(0.0550461\pi\) | ||||
−0.985084 | + | 0.172072i | \(0.944954\pi\) | |||||||
\(762\) | −11.1826 | − | 0.367130i | −0.405104 | − | 0.0132997i | ||||
\(763\) | 2.68321 | − | 15.5839i | 0.0971386 | − | 0.564175i | ||||
\(764\) | − | 30.3061i | − | 1.09644i | ||||||
\(765\) | 0.394577 | − | 13.5139i | 0.0142659 | − | 0.488595i | ||||
\(766\) | 6.65620 | + | 3.84296i | 0.240498 | + | 0.138852i | ||||
\(767\) | 1.86625 | + | 1.86625i | 0.0673862 | + | 0.0673862i | ||||
\(768\) | 20.7576 | + | 12.9106i | 0.749025 | + | 0.465871i | ||||
\(769\) | −17.6473 | + | 30.5659i | −0.636376 | + | 1.10224i | 0.349846 | + | 0.936807i | \(0.386234\pi\) |
−0.986222 | + | 0.165429i | \(0.947099\pi\) | |||||||
\(770\) | −5.48676 | + | 7.10390i | −0.197729 | + | 0.256007i | ||||
\(771\) | −2.84585 | + | 9.37836i | −0.102491 | + | 0.337753i | ||||
\(772\) | −12.4460 | + | 3.33490i | −0.447942 | + | 0.120026i | ||||
\(773\) | 40.0084 | − | 10.7202i | 1.43900 | − | 0.385579i | 0.546817 | − | 0.837252i | \(-0.315839\pi\) |
0.892184 | + | 0.451673i | \(0.149173\pi\) | |||||||
\(774\) | −11.1833 | + | 16.7302i | −0.401974 | + | 0.601353i | ||||
\(775\) | −8.81047 | + | 18.2063i | −0.316481 | + | 0.653991i | ||||
\(776\) | 15.2674 | − | 8.81462i | 0.548067 | − | 0.316427i | ||||
\(777\) | 32.1005 | − | 21.1265i | 1.15160 | − | 0.757909i | ||||
\(778\) | 0.920735 | + | 3.43623i | 0.0330099 | + | 0.123195i | ||||
\(779\) | 1.94419i | 0.0696578i | ||||||||
\(780\) | −1.87447 | + | 0.00680238i | −0.0671166 | + | 0.000243564i | ||||
\(781\) | −6.11206 | −0.218707 | ||||||||
\(782\) | −2.09590 | − | 0.561595i | −0.0749493 | − | 0.0200826i | ||||
\(783\) | 5.59045 | + | 12.3476i | 0.199786 | + | 0.441267i | ||||
\(784\) | 0.727958 | + | 3.94253i | 0.0259985 | + | 0.140805i | ||||
\(785\) | 1.70036 | + | 46.6316i | 0.0606884 | + | 1.66435i | ||||
\(786\) | 9.24266 | + | 9.87014i | 0.329675 | + | 0.352056i | ||||
\(787\) | 23.7719 | + | 6.36966i | 0.847377 | + | 0.227054i | 0.656280 | − | 0.754517i | \(-0.272129\pi\) |
0.191097 | + | 0.981571i | \(0.438796\pi\) | |||||||
\(788\) | −6.47595 | − | 1.73523i | −0.230696 | − | 0.0618149i | ||||
\(789\) | −1.22625 | + | 4.04104i | −0.0436556 | + | 0.143865i | ||||
\(790\) | −0.660361 | − | 18.1101i | −0.0234946 | − | 0.644330i | ||||
\(791\) | 41.0683 | − | 29.0035i | 1.46022 | − | 1.03125i | ||||
\(792\) | 2.98144 | + | 15.0034i | 0.105941 | + | 0.533122i | ||||
\(793\) | −1.61253 | − | 0.432077i | −0.0572628 | − | 0.0153435i | ||||
\(794\) | 5.52482 | 0.196069 | ||||||||
\(795\) | −16.8585 | + | 29.4460i | −0.597908 | + | 1.04434i | ||||
\(796\) | 0.632086i | 0.0224037i | ||||||||
\(797\) | −6.22974 | − | 23.2497i | −0.220669 | − | 0.823547i | −0.984094 | − | 0.177651i | \(-0.943150\pi\) |
0.763425 | − | 0.645897i | \(-0.223516\pi\) | |||||||
\(798\) | −0.972304 | − | 16.6089i | −0.0344192 | − | 0.587948i | ||||
\(799\) | 14.1903 | − | 8.19279i | 0.502018 | − | 0.289840i | ||||
\(800\) | 9.57886 | + | 27.5430i | 0.338664 | + | 0.973792i | ||||
\(801\) | −5.18197 | − | 0.340619i | −0.183096 | − | 0.0120352i | ||||
\(802\) | 21.2515 | − | 5.69433i | 0.750418 | − | 0.201074i | ||||
\(803\) | 17.1242 | − | 4.58843i | 0.604302 | − | 0.161922i | ||||
\(804\) | 23.7741 | + | 25.3881i | 0.838449 | + | 0.895371i | ||||
\(805\) | −1.06471 | + | 7.89449i | −0.0375262 | + | 0.278244i | ||||
\(806\) | 0.575254 | − | 0.996369i | 0.0202625 | − | 0.0350956i | ||||
\(807\) | −0.327302 | + | 9.96951i | −0.0115216 | + | 0.350943i | ||||
\(808\) | 32.5539 | + | 32.5539i | 1.14524 | + | 1.14524i | ||||
\(809\) | 4.30673 | + | 2.48649i | 0.151417 | + | 0.0874204i | 0.573794 | − | 0.819000i | \(-0.305471\pi\) |
−0.422377 | + | 0.906420i | \(0.638804\pi\) | |||||||
\(810\) | 9.32899 | − | 13.1111i | 0.327787 | − | 0.460677i | ||||
\(811\) | − | 36.7094i | − | 1.28904i | −0.764586 | − | 0.644521i | \(-0.777057\pi\) | ||
0.764586 | − | 0.644521i | \(-0.222943\pi\) | |||||||
\(812\) | 9.25441 | + | 1.59341i | 0.324766 | + | 0.0559176i | ||||
\(813\) | −23.6371 | + | 38.0036i | −0.828988 | + | 1.33284i | ||||
\(814\) | − | 12.7233i | − | 0.445951i | ||||||
\(815\) | −1.05024 | − | 28.8023i | −0.0367882 | − | 1.00890i | ||||
\(816\) | −1.94711 | + | 0.453809i | −0.0681623 | + | 0.0158865i | ||||
\(817\) | 9.85889 | + | 36.7939i | 0.344919 | + | 1.28726i | ||||
\(818\) | −19.1188 | − | 19.1188i | −0.668474 | − | 0.668474i | ||||
\(819\) | 2.82235 | − | 0.0724258i | 0.0986209 | − | 0.00253076i | ||||
\(820\) | 0.382810 | + | 1.24525i | 0.0133683 | + | 0.0434860i | ||||
\(821\) | 24.9798 | − | 43.2663i | 0.871801 | − | 1.51000i | 0.0116684 | − | 0.999932i | \(-0.496286\pi\) |
0.860132 | − | 0.510071i | \(-0.170381\pi\) | |||||||
\(822\) | 25.9406 | + | 0.851638i | 0.904782 | + | 0.0297043i | ||||
\(823\) | 28.2064 | + | 7.55789i | 0.983215 | + | 0.263452i | 0.714398 | − | 0.699740i | \(-0.246701\pi\) |
0.268817 | + | 0.963191i | \(0.413367\pi\) | |||||||
\(824\) | −42.6458 | −1.48564 | ||||||||
\(825\) | −7.63975 | + | 14.5492i | −0.265982 | + | 0.506539i | ||||
\(826\) | −6.57646 | + | 14.2528i | −0.228824 | + | 0.495919i | ||||
\(827\) | −9.28844 | − | 9.28844i | −0.322991 | − | 0.322991i | 0.526923 | − | 0.849913i | \(-0.323346\pi\) |
−0.849913 | + | 0.526923i | \(0.823346\pi\) | |||||||
\(828\) | 3.62324 | + | 4.13308i | 0.125916 | + | 0.143634i | ||||
\(829\) | 19.5190 | − | 33.8079i | 0.677923 | − | 1.17420i | −0.297683 | − | 0.954665i | \(-0.596214\pi\) |
0.975605 | − | 0.219532i | \(-0.0704529\pi\) | |||||||
\(830\) | −29.7615 | + | 9.14919i | −1.03304 | + | 0.317573i | ||||
\(831\) | −28.2025 | − | 8.55803i | −0.978335 | − | 0.296875i | ||||
\(832\) | −0.323862 | − | 1.20867i | −0.0112279 | − | 0.0419031i | ||||
\(833\) | 11.6212 | + | 7.99853i | 0.402649 | + | 0.277133i | ||||
\(834\) | 0.754554 | + | 3.23748i | 0.0261281 | + | 0.112105i | ||||
\(835\) | −16.7026 | + | 10.4728i | −0.578019 | + | 0.362426i | ||||
\(836\) | 10.1527 | + | 5.86164i | 0.351137 | + | 0.202729i | ||||
\(837\) | −8.66955 | − | 19.1484i | −0.299663 | − | 0.661866i | ||||
\(838\) | 5.02725 | − | 18.7619i | 0.173663 | − | 0.648121i | ||||
\(839\) | −3.93769 | − | 6.82027i | −0.135944 | − | 0.235462i | 0.790014 | − | 0.613089i | \(-0.210073\pi\) |
−0.925958 | + | 0.377627i | \(0.876740\pi\) | |||||||
\(840\) | −9.61531 | − | 25.8015i | −0.331760 | − | 0.890237i | ||||
\(841\) | −11.0978 | + | 19.2220i | −0.382684 | + | 0.662829i | ||||
\(842\) | −2.82270 | − | 2.82270i | −0.0972768 | − | 0.0972768i | ||||
\(843\) | −47.4792 | − | 29.5306i | −1.63527 | − | 1.01709i | ||||
\(844\) | − | 30.1082i | − | 1.03637i | ||||||
\(845\) | −21.0830 | − | 19.5995i | −0.725276 | − | 0.674244i | ||||
\(846\) | 19.4604 | + | 1.27916i | 0.669063 | + | 0.0439786i | ||||
\(847\) | −6.76973 | − | 18.3692i | −0.232611 | − | 0.631173i | ||||
\(848\) | 4.84668 | + | 1.29866i | 0.166436 | + | 0.0445963i | ||||
\(849\) | 0.481977 | + | 2.06796i | 0.0165414 | + | 0.0709723i | ||||
\(850\) | 7.25276 | + | 3.50978i | 0.248768 | + | 0.120384i | ||||
\(851\) | −5.64575 | − | 9.77872i | −0.193534 | − | 0.335210i | ||||
\(852\) | 4.00928 | − | 6.44610i | 0.137356 | − | 0.220840i | ||||
\(853\) | 9.44853 | − | 35.2624i | 0.323512 | − | 1.20736i | −0.592288 | − | 0.805726i | \(-0.701775\pi\) |
0.915800 | − | 0.401635i | \(-0.131558\pi\) | |||||||
\(854\) | −0.905168 | − | 9.88742i | −0.0309742 | − | 0.338340i | ||||
\(855\) | −7.02134 | − | 29.6387i | −0.240125 | − | 1.01362i | ||||
\(856\) | −5.93770 | − | 10.2844i | −0.202946 | − | 0.351513i | ||||
\(857\) | −22.3925 | + | 22.3925i | −0.764914 | + | 0.764914i | −0.977206 | − | 0.212292i | \(-0.931907\pi\) |
0.212292 | + | 0.977206i | \(0.431907\pi\) | |||||||
\(858\) | 0.493687 | − | 0.793747i | 0.0168542 | − | 0.0270981i | ||||
\(859\) | 58.2018 | 1.98582 | 0.992910 | − | 0.118871i | \(-0.0379275\pi\) | ||||
0.992910 | + | 0.118871i | \(0.0379275\pi\) | |||||||
\(860\) | 13.5593 | + | 21.6252i | 0.462369 | + | 0.737414i | ||||
\(861\) | −0.617746 | − | 1.86240i | −0.0210527 | − | 0.0634704i | ||||
\(862\) | −1.12477 | + | 4.19769i | −0.0383098 | + | 0.142974i | ||||
\(863\) | 3.39357 | + | 0.909305i | 0.115519 | + | 0.0309531i | 0.316115 | − | 0.948721i | \(-0.397621\pi\) |
−0.200597 | + | 0.979674i | \(0.564288\pi\) | |||||||
\(864\) | −28.3597 | − | 10.6829i | −0.964818 | − | 0.363441i | ||||
\(865\) | 27.2810 | + | 43.5094i | 0.927581 | + | 1.47936i | ||||
\(866\) | 12.4354 | + | 7.17960i | 0.422573 | + | 0.243973i | ||||
\(867\) | 11.8356 | − | 19.0292i | 0.401958 | − | 0.646266i | ||||
\(868\) | −14.3515 | − | 2.47102i | −0.487123 | − | 0.0838719i | ||||
\(869\) | −16.6563 | − | 9.61655i | −0.565028 | − | 0.326219i | ||||
\(870\) | −8.07791 | + | 0.0293145i | −0.273867 | + | 0.000993855i | ||||
\(871\) | − | 5.24956i | − | 0.177874i | ||||||
\(872\) | 15.5133 | − | 4.15678i | 0.525347 | − | 0.140766i | ||||
\(873\) | −14.8000 | + | 12.9744i | −0.500905 | + | 0.439116i | ||||
\(874\) | −4.88853 | −0.165357 | ||||||||
\(875\) | 9.38817 | − | 28.0511i | 0.317378 | − | 0.948299i | ||||
\(876\) | −6.39366 | + | 21.0700i | −0.216022 | + | 0.711888i | ||||
\(877\) | 1.37958 | + | 1.37958i | 0.0465852 | + | 0.0465852i | 0.730016 | − | 0.683430i | \(-0.239513\pi\) |
−0.683430 | + | 0.730016i | \(0.739513\pi\) | |||||||
\(878\) | −2.10650 | + | 7.86155i | −0.0710908 | + | 0.265314i | ||||
\(879\) | 7.40528 | − | 6.93450i | 0.249774 | − | 0.233895i | ||||
\(880\) | 2.36869 | + | 0.543012i | 0.0798485 | + | 0.0183049i | ||||
\(881\) | 1.32904i | 0.0447765i | 0.999749 | + | 0.0223883i | \(0.00712700\pi\) | ||||
−0.999749 | + | 0.0223883i | \(0.992873\pi\) | |||||||
\(882\) | 6.20870 | + | 15.6012i | 0.209058 | + | 0.525321i | ||||
\(883\) | 24.9117 | − | 24.9117i | 0.838347 | − | 0.838347i | −0.150295 | − | 0.988641i | \(-0.548022\pi\) |
0.988641 | + | 0.150295i | \(0.0480222\pi\) | |||||||
\(884\) | 0.844742 | + | 0.487712i | 0.0284117 | + | 0.0164035i | ||||
\(885\) | −7.33698 | + | 27.7849i | −0.246630 | + | 0.933979i | ||||
\(886\) | 1.85694 | + | 3.21631i | 0.0623850 | + | 0.108054i | ||||
\(887\) | 20.3728 | − | 20.3728i | 0.684052 | − | 0.684052i | −0.276859 | − | 0.960911i | \(-0.589293\pi\) |
0.960911 | + | 0.276859i | \(0.0892935\pi\) | |||||||
\(888\) | 33.1423 | + | 20.6135i | 1.11218 | + | 0.691745i | ||||
\(889\) | 8.95532 | − | 19.4084i | 0.300352 | − | 0.650936i | ||||
\(890\) | 1.44880 | − | 2.73495i | 0.0485638 | − | 0.0916756i | ||||
\(891\) | −6.52946 | − | 15.7802i | −0.218745 | − | 0.528658i | ||||
\(892\) | 0.743914 | + | 2.77633i | 0.0249081 | + | 0.0929583i | ||||
\(893\) | 26.1034 | − | 26.1034i | 0.873518 | − | 0.873518i | ||||
\(894\) | −3.92732 | − | 4.19394i | −0.131349 | − | 0.140266i | ||||
\(895\) | 3.16088 | − | 13.7882i | 0.105657 | − | 0.460889i | ||||
\(896\) | −19.1296 | + | 13.5098i | −0.639075 | + | 0.451331i | ||||
\(897\) | 0.0272201 | − | 0.829115i | 0.000908853 | − | 0.0276833i | ||||
\(898\) | 7.46766 | + | 27.8697i | 0.249199 | + | 0.930024i | ||||
\(899\) | −5.27599 | + | 9.13829i | −0.175964 | + | 0.304779i | ||||
\(900\) | −10.3330 | − | 17.6010i | −0.344433 | − | 0.586701i | ||||
\(901\) | 15.2909 | − | 8.82820i | 0.509413 | − | 0.294110i | ||||
\(902\) | −0.627517 | − | 0.168143i | −0.0208940 | − | 0.00559854i | ||||
\(903\) | −21.1350 | − | 32.1135i | −0.703330 | − | 1.06867i | ||||
\(904\) | 44.2225 | + | 25.5319i | 1.47082 | + | 0.849177i | ||||
\(905\) | −41.6742 | + | 12.8113i | −1.38530 | + | 0.425863i | ||||
\(906\) | 15.7359 | − | 14.7355i | 0.522789 | − | 0.489553i | ||||
\(907\) | 23.9657 | + | 23.9657i | 0.795767 | + | 0.795767i | 0.982425 | − | 0.186658i | \(-0.0597657\pi\) |
−0.186658 | + | 0.982425i | \(0.559766\pi\) | |||||||
\(908\) | −0.806139 | + | 3.00855i | −0.0267527 | + | 0.0998423i | ||||
\(909\) | −42.7309 | − | 28.5634i | −1.41729 | − | 0.947390i | ||||
\(910\) | −0.648812 | + | 1.55248i | −0.0215079 | + | 0.0514642i | ||||
\(911\) | 3.92417 | + | 6.79686i | 0.130013 | + | 0.225190i | 0.923681 | − | 0.383161i | \(-0.125165\pi\) |
−0.793668 | + | 0.608351i | \(0.791831\pi\) | |||||||
\(912\) | −3.97263 | + | 2.12294i | −0.131547 | + | 0.0702975i | ||||
\(913\) | −8.55263 | + | 31.9188i | −0.283051 | + | 1.05636i | ||||
\(914\) | 18.9193 | − | 10.9230i | 0.625793 | − | 0.361302i | ||||
\(915\) | −4.76830 | − | 17.5407i | −0.157635 | − | 0.579876i | ||||
\(916\) | 0.155232 | − | 0.0896229i | 0.00512899 | − | 0.00296123i | ||||
\(917\) | −24.2389 | + | 8.93292i | −0.800438 | + | 0.294991i | ||||
\(918\) | −7.62805 | + | 3.45364i | −0.251763 | + | 0.113987i | ||||
\(919\) | −45.5357 | + | 26.2901i | −1.50208 | + | 0.867229i | −0.502088 | + | 0.864817i | \(0.667435\pi\) |
−0.999997 | + | 0.00241227i | \(0.999232\pi\) | |||||||
\(920\) | −7.73339 | + | 2.37737i | −0.254962 | + | 0.0783796i | ||||
\(921\) | −2.68663 | + | 8.85365i | −0.0885274 | + | 0.291738i | ||||
\(922\) | −1.45144 | + | 1.45144i | −0.0478007 | + | 0.0478007i | ||||
\(923\) | −1.10669 | + | 0.296537i | −0.0364272 | + | 0.00976064i | ||||
\(924\) | −11.5880 | − | 2.38915i | −0.381218 | − | 0.0785972i | ||||
\(925\) | 13.7729 | + | 39.6026i | 0.452851 | + | 1.30213i | ||||
\(926\) | −9.93329 | − | 17.2050i | −0.326428 | − | 0.565390i | ||||
\(927\) | 46.6980 | − | 9.27973i | 1.53376 | − | 0.304786i | ||||
\(928\) | 3.93752 | + | 14.6950i | 0.129255 | + | 0.482387i | ||||
\(929\) | −19.4597 | + | 33.7052i | −0.638452 | + | 1.10583i | 0.347320 | + | 0.937747i | \(0.387092\pi\) |
−0.985772 | + | 0.168085i | \(0.946242\pi\) | |||||||
\(930\) | 12.5271 | − | 0.0454603i | 0.410778 | − | 0.00149070i | ||||
\(931\) | 29.9537 | + | 10.6299i | 0.981692 | + | 0.348380i | ||||
\(932\) | −9.95394 | + | 2.66715i | −0.326052 | + | 0.0873654i | ||||
\(933\) | −19.1767 | + | 30.8323i | −0.627818 | + | 1.00940i | ||||
\(934\) | 15.9357 | 0.521434 | ||||||||
\(935\) | 7.24492 | − | 4.54267i | 0.236934 | − | 0.148561i | ||||
\(936\) | 1.26775 | + | 2.57196i | 0.0414378 | + | 0.0840673i | ||||
\(937\) | 20.1650 | − | 20.1650i | 0.658760 | − | 0.658760i | −0.296326 | − | 0.955087i | \(-0.595762\pi\) |
0.955087 | + | 0.296326i | \(0.0957616\pi\) | |||||||
\(938\) | 29.2953 | − | 10.7964i | 0.956525 | − | 0.352515i | ||||
\(939\) | 15.7518 | − | 14.7504i | 0.514042 | − | 0.481362i | ||||
\(940\) | 11.5794 | − | 21.8590i | 0.377680 | − | 0.712961i | ||||
\(941\) | 6.25212 | − | 3.60966i | 0.203813 | − | 0.117672i | −0.394620 | − | 0.918845i | \(-0.629124\pi\) |
0.598433 | + | 0.801173i | \(0.295790\pi\) | |||||||
\(942\) | 25.4894 | − | 13.6213i | 0.830490 | − | 0.443806i | ||||
\(943\) | −0.556900 | + | 0.149221i | −0.0181352 | + | 0.00485930i | ||||
\(944\) | 4.24969 | 0.138316 | ||||||||
\(945\) | 16.1434 | + | 26.1609i | 0.525143 | + | 0.851014i | ||||
\(946\) | −12.7284 | −0.413837 | ||||||||
\(947\) | −35.3046 | + | 9.45984i | −1.14725 | + | 0.307403i | −0.781861 | − | 0.623453i | \(-0.785729\pi\) |
−0.365384 | + | 0.930857i | \(0.619062\pi\) | |||||||
\(948\) | 21.0680 | − | 11.2586i | 0.684258 | − | 0.365661i | ||||
\(949\) | 2.87802 | − | 1.66162i | 0.0934244 | − | 0.0539386i | ||||
\(950\) | 17.8299 | + | 3.40879i | 0.578477 | + | 0.110596i | ||||
\(951\) | −18.6855 | + | 17.4976i | −0.605919 | + | 0.567398i | ||||
\(952\) | −2.43126 | + | 14.1206i | −0.0787976 | + | 0.457651i | ||||
\(953\) | −22.4458 | + | 22.4458i | −0.727090 | + | 0.727090i | −0.970039 | − | 0.242949i | \(-0.921885\pi\) |
0.242949 | + | 0.970039i | \(0.421885\pi\) | |||||||
\(954\) | 20.9697 | + | 1.37837i | 0.678920 | + | 0.0446264i | ||||
\(955\) | −48.5447 | − | 11.1287i | −1.57087 | − | 0.360115i | ||||
\(956\) | 12.2914 | 0.397532 | ||||||||
\(957\) | −4.52789 | + | 7.27992i | −0.146366 | + | 0.235327i | ||||
\(958\) | 10.5337 | − | 2.82249i | 0.340328 | − | 0.0911906i | ||||
\(959\) | −20.7738 | + | 45.0220i | −0.670821 | + | 1.45384i | ||||
\(960\) | 9.59907 | − | 9.66900i | 0.309809 | − | 0.312066i | ||||
\(961\) | −7.31810 | + | 12.6753i | −0.236068 | + | 0.408881i | ||||
\(962\) | −0.617292 | − | 2.30377i | −0.0199023 | − | 0.0742764i | ||||
\(963\) | 8.73978 | + | 9.96957i | 0.281635 | + | 0.321265i | ||||
\(964\) | −10.9397 | − | 18.9481i | −0.352344 | − | 0.610278i | ||||
\(965\) | 0.771600 | + | 21.1608i | 0.0248387 | + | 0.681190i | ||||
\(966\) | 4.68288 | − | 1.55328i | 0.150669 | − | 0.0499759i | ||||
\(967\) | −54.9695 | + | 14.7290i | −1.76770 | + | 0.473654i | −0.988255 | − | 0.152816i | \(-0.951166\pi\) |
−0.779446 | + | 0.626470i | \(0.784499\pi\) | |||||||
\(968\) | 14.0595 | − | 14.0595i | 0.451890 | − | 0.451890i | ||||
\(969\) | −4.60243 | + | 15.1671i | −0.147851 | + | 0.487236i | ||||
\(970\) | −3.44677 | − | 11.2120i | −0.110669 | − | 0.359997i | ||||
\(971\) | 16.7190 | − | 9.65271i | 0.536538 | − | 0.309770i | −0.207137 | − | 0.978312i | \(-0.566415\pi\) |
0.743675 | + | 0.668542i | \(0.233081\pi\) | |||||||
\(972\) | 20.9257 | + | 3.46492i | 0.671194 | + | 0.111137i | ||||
\(973\) | −6.25854 | − | 1.07758i | −0.200640 | − | 0.0345458i | ||||
\(974\) | 0.583358 | − | 0.336802i | 0.0186920 | − | 0.0107918i | ||||
\(975\) | −0.677424 | + | 3.00504i | −0.0216949 | + | 0.0962383i | ||||
\(976\) | −2.32793 | + | 1.34403i | −0.0745151 | + | 0.0430213i | ||||
\(977\) | −4.87607 | + | 18.1977i | −0.155999 | + | 0.582198i | 0.843018 | + | 0.537885i | \(0.180776\pi\) |
−0.999018 | + | 0.0443127i | \(0.985890\pi\) | |||||||
\(978\) | −15.7437 | + | 8.41330i | −0.503429 | + | 0.269028i | ||||
\(979\) | −1.64236 | − | 2.84465i | −0.0524900 | − | 0.0909153i | ||||
\(980\) | 21.2783 | + | 0.910541i | 0.679710 | + | 0.0290862i | ||||
\(981\) | −16.0829 | + | 7.92744i | −0.513486 | + | 0.253104i | ||||
\(982\) | −5.09528 | + | 19.0158i | −0.162597 | + | 0.606820i | ||||
\(983\) | 28.0864 | + | 28.0864i | 0.895818 | + | 0.895818i | 0.995063 | − | 0.0992448i | \(-0.0316427\pi\) |
−0.0992448 | + | 0.995063i | \(0.531643\pi\) | |||||||
\(984\) | 1.45465 | − | 1.36217i | 0.0463726 | − | 0.0434245i | ||||
\(985\) | −5.15753 | + | 9.73607i | −0.164333 | + | 0.310217i | ||||
\(986\) | 3.64037 | + | 2.10177i | 0.115933 | + | 0.0669340i | ||||
\(987\) | −16.7112 | + | 33.2994i | −0.531924 | + | 1.05993i | ||||
\(988\) | 2.12270 | + | 0.568775i | 0.0675319 | + | 0.0180951i | ||||
\(989\) | −9.78268 | + | 5.64803i | −0.311071 | + | 0.179597i | ||||
\(990\) | 10.1736 | + | 0.297047i | 0.323338 | + | 0.00944077i | ||||
\(991\) | 23.0121 | − | 39.8581i | 0.731003 | − | 1.26613i | −0.225452 | − | 0.974254i | \(-0.572386\pi\) |
0.956455 | − | 0.291880i | \(-0.0942809\pi\) | |||||||
\(992\) | −6.10622 | − | 22.7887i | −0.193873 | − | 0.723543i | ||||
\(993\) | 0.373240 | − | 11.3687i | 0.0118444 | − | 0.360776i | ||||
\(994\) | −3.93089 | − | 5.56606i | −0.124680 | − | 0.176545i | ||||
\(995\) | 1.01248 | + | 0.232107i | 0.0320979 | + | 0.00735830i | ||||
\(996\) | −28.0531 | − | 29.9576i | −0.888896 | − | 0.949243i | ||||
\(997\) | −13.7662 | + | 13.7662i | −0.435981 | + | 0.435981i | −0.890657 | − | 0.454676i | \(-0.849755\pi\) |
0.454676 | + | 0.890657i | \(0.349755\pi\) | |||||||
\(998\) | 1.52837 | + | 5.70394i | 0.0483796 | + | 0.180555i | ||||
\(999\) | −40.7770 | − | 15.3604i | −1.29013 | − | 0.485983i |
(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 | 315.2.cg.e.157.25 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.16 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.16 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.16 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.25 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.16 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.25 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.25 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.16 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.25 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.16 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.25 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.16 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.25 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.16 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.25 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.16 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.16 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.16 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.16 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.25 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.16 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.16 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.25 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.25 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.25 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.25 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.25 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.16 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.25 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.25 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.16 | 160 | 3.2 | odd | 2 |