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 | 283.16 | ||
Character | \(\chi\) | \(=\) | 315.283 |
Dual form | 315.2.cg.e.187.16 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.206948 | − | 0.772339i | −0.146334 | − | 0.546126i | −0.999692 | − | 0.0248014i | \(-0.992105\pi\) |
0.853358 | − | 0.521325i | \(-0.174562\pi\) | |||||||
\(3\) | 0.816340 | + | 1.52761i | 0.471314 | + | 0.881965i | ||||
\(4\) | 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 | ||||
\(7\) | 2.48253 | − | 0.914904i | 0.938308 | − | 0.345801i | ||||
\(8\) | −1.90009 | − | 1.90009i | −0.671784 | − | 0.671784i | ||||
\(9\) | −1.66718 | + | 2.49410i | −0.555726 | + | 0.831366i | ||||
\(10\) | 1.78674 | + | 0.0651510i | 0.565016 | + | 0.0206025i | ||||
\(11\) | 1.89753 | 0.572126 | 0.286063 | − | 0.958211i | \(-0.407653\pi\) | ||||
0.286063 | + | 0.958211i | \(0.407653\pi\) | |||||||
\(12\) | 2.00123 | + | 1.24471i | 0.577706 | + | 0.359316i | ||||
\(13\) | 0.0920618 | + | 0.343579i | 0.0255334 | + | 0.0952918i | 0.977517 | − | 0.210858i | \(-0.0676258\pi\) |
−0.951983 | + | 0.306150i | \(0.900959\pi\) | |||||||
\(14\) | −1.22037 | − | 1.72802i | −0.326157 | − | 0.461832i | ||||
\(15\) | −3.80142 | + | 0.741080i | −0.981523 | + | 0.191346i | ||||
\(16\) | 0.286369 | − | 0.496007i | 0.0715924 | − | 0.124002i | ||||
\(17\) | −1.94672 | + | 0.521621i | −0.472148 | + | 0.126512i | −0.487044 | − | 0.873377i | \(-0.661925\pi\) |
0.0148962 | + | 0.999889i | \(0.495258\pi\) | |||||||
\(18\) | 2.27131 | + | 0.771479i | 0.535352 | + | 0.181839i | ||||
\(19\) | 2.27028 | + | 3.93224i | 0.520838 | + | 0.902118i | 0.999706 | + | 0.0242311i | \(0.00771374\pi\) |
−0.478868 | + | 0.877887i | \(0.658953\pi\) | |||||||
\(20\) | 0.679853 | + | 2.96561i | 0.152020 | + | 0.663131i | ||||
\(21\) | 3.42420 | + | 3.04546i | 0.747222 | + | 0.664574i | ||||
\(22\) | −0.392689 | − | 1.46554i | −0.0837216 | − | 0.312453i | ||||
\(23\) | 0.952115 | + | 0.952115i | 0.198530 | + | 0.198530i | 0.799369 | − | 0.600840i | \(-0.205167\pi\) |
−0.600840 | + | 0.799369i | \(0.705167\pi\) | |||||||
\(24\) | 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 | ||||
\(27\) | −5.17099 | − | 0.510764i | −0.995157 | − | 0.0982967i | ||||
\(28\) | 2.30290 | − | 2.76704i | 0.435207 | − | 0.522922i | ||||
\(29\) | 2.25903 | − | 1.30425i | 0.419492 | − | 0.242194i | −0.275368 | − | 0.961339i | \(-0.588800\pi\) |
0.694860 | + | 0.719145i | \(0.255466\pi\) | |||||||
\(30\) | 1.35906 | + | 2.78262i | 0.248129 | + | 0.508035i | ||||
\(31\) | 3.50326 | − | 2.02261i | 0.629205 | − | 0.363271i | −0.151239 | − | 0.988497i | \(-0.548326\pi\) |
0.780444 | + | 0.625226i | \(0.214993\pi\) | |||||||
\(32\) | −5.63349 | − | 1.50949i | −0.995871 | − | 0.266843i | ||||
\(33\) | 1.54903 | + | 2.89868i | 0.269651 | + | 0.504596i | ||||
\(34\) | 0.805736 | + | 1.39558i | 0.138183 | + | 0.239339i | ||||
\(35\) | 0.324308 | + | 5.90718i | 0.0548180 | + | 0.998496i | ||||
\(36\) | −0.267738 | + | 4.07320i | −0.0446230 | + | 0.678867i | ||||
\(37\) | −8.10011 | − | 2.17042i | −1.33165 | − | 0.356814i | −0.478320 | − | 0.878186i | \(-0.658754\pi\) |
−0.853330 | + | 0.521371i | \(0.825421\pi\) | |||||||
\(38\) | 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 | \(0.677311\pi\) | |||||||
\(42\) | 1.64350 | − | 3.27490i | 0.253597 | − | 0.505328i | ||||
\(43\) | 2.17129 | − | 8.10338i | 0.331119 | − | 1.23575i | −0.576896 | − | 0.816818i | \(-0.695736\pi\) |
0.908015 | − | 0.418937i | \(-0.137597\pi\) | |||||||
\(44\) | 2.23599 | − | 1.29095i | 0.337088 | − | 0.194618i | ||||
\(45\) | −4.23533 | − | 5.20211i | −0.631366 | − | 0.775485i | ||||
\(46\) | 0.538318 | − | 0.932394i | 0.0793706 | − | 0.137474i | ||||
\(47\) | 7.85320 | − | 2.10426i | 1.14551 | − | 0.306938i | 0.364344 | − | 0.931264i | \(-0.381293\pi\) |
0.781163 | + | 0.624327i | \(0.214627\pi\) | |||||||
\(48\) | 0.991479 | + | 0.0325506i | 0.143108 | + | 0.00469827i | ||||
\(49\) | 5.32590 | − | 4.54255i | 0.760843 | − | 0.648936i | ||||
\(50\) | −1.31324 | + | 3.77608i | −0.185720 | + | 0.534018i | ||||
\(51\) | −2.38601 | − | 2.54800i | −0.334109 | − | 0.356791i | ||||
\(52\) | 0.342231 | + | 0.342231i | 0.0474589 | + | 0.0474589i | ||||
\(53\) | −8.46228 | + | 2.26746i | −1.16238 | + | 0.311460i | −0.787917 | − | 0.615781i | \(-0.788841\pi\) |
−0.374466 | + | 0.927241i | \(0.622174\pi\) | |||||||
\(54\) | 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 | ||||
\(57\) | −4.15360 | + | 6.67814i | −0.550158 | + | 0.884542i | ||||
\(58\) | −1.47483 | − | 1.47483i | −0.193654 | − | 0.193654i | ||||
\(59\) | −3.70997 | − | 6.42586i | −0.482997 | − | 0.836575i | 0.516813 | − | 0.856099i | \(-0.327118\pi\) |
−0.999809 | + | 0.0195235i | \(0.993785\pi\) | |||||||
\(60\) | −3.97530 | + | 3.45950i | −0.513209 | + | 0.446619i | ||||
\(61\) | −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 | ||||
\(63\) | −1.85696 | + | 7.71697i | −0.233955 | + | 0.972247i | ||||
\(64\) | 3.51788i | 0.439734i | ||||||||
\(65\) | −0.794840 | − | 0.0289828i | −0.0985878 | − | 0.00359487i | ||||
\(66\) | 1.91820 | − | 1.79625i | 0.236114 | − | 0.221103i | ||||
\(67\) | −14.2555 | − | 3.81975i | −1.74159 | − | 0.466657i | −0.758789 | − | 0.651336i | \(-0.774209\pi\) |
−0.982799 | + | 0.184679i | \(0.940876\pi\) | |||||||
\(68\) | −1.93908 | + | 1.93908i | −0.235148 | + | 0.235148i | ||||
\(69\) | −0.677210 | + | 2.23171i | −0.0815265 | + | 0.268666i | ||||
\(70\) | 4.49523 | − | 1.47295i | 0.537283 | − | 0.176052i | ||||
\(71\) | −3.22107 | −0.382270 | −0.191135 | − | 0.981564i | \(-0.561217\pi\) | ||||
−0.191135 | + | 0.981564i | \(0.561217\pi\) | |||||||
\(72\) | 7.90680 | − | 1.57122i | 0.931825 | − | 0.185170i | ||||
\(73\) | 2.41811 | + | 9.02450i | 0.283018 | + | 1.05624i | 0.950275 | + | 0.311411i | \(0.100801\pi\) |
−0.667257 | + | 0.744827i | \(0.732532\pi\) | |||||||
\(74\) | 6.70519i | 0.779463i | ||||||||
\(75\) | 0.913802 | − | 8.61191i | 0.105517 | − | 0.994418i | ||||
\(76\) | 5.35046 | + | 3.08909i | 0.613740 | + | 0.354343i | ||||
\(77\) | 4.71067 | − | 1.73606i | 0.536831 | − | 0.197842i | ||||
\(78\) | 0.418306 | + | 0.260174i | 0.0473638 | + | 0.0294589i | ||||
\(79\) | 8.77792 | + | 5.06793i | 0.987593 | + | 0.570187i | 0.904554 | − | 0.426359i | \(-0.140204\pi\) |
0.0830390 | + | 0.996546i | \(0.473537\pi\) | |||||||
\(80\) | 0.871980 | + | 0.937977i | 0.0974903 | + | 0.104869i | ||||
\(81\) | −3.44104 | − | 8.31621i | −0.382337 | − | 0.924023i | ||||
\(82\) | −0.0886114 | + | 0.330702i | −0.00978549 | + | 0.0365199i | ||||
\(83\) | −16.8213 | − | 4.50725i | −1.84637 | − | 0.494735i | −0.847051 | − | 0.531512i | \(-0.821624\pi\) |
−0.999323 | + | 0.0367774i | \(0.988291\pi\) | |||||||
\(84\) | 6.10691 | + | 1.25908i | 0.666318 | + | 0.137377i | ||||
\(85\) | 0.164216 | − | 4.50355i | 0.0178117 | − | 0.488479i | ||||
\(86\) | −6.70790 | −0.723332 | ||||||||
\(87\) | 3.83653 | + | 2.38621i | 0.411319 | + | 0.255828i | ||||
\(88\) | −3.60548 | − | 3.60548i | −0.384345 | − | 0.384345i | ||||
\(89\) | 0.865525 | + | 1.49913i | 0.0917455 | + | 0.158908i | 0.908246 | − | 0.418437i | \(-0.137422\pi\) |
−0.816500 | + | 0.577345i | \(0.804089\pi\) | |||||||
\(90\) | −3.14130 | + | 4.34768i | −0.331122 | + | 0.458285i | ||||
\(91\) | 0.542888 | + | 0.768718i | 0.0569102 | + | 0.0805836i | ||||
\(92\) | 1.76970 | + | 0.474189i | 0.184504 | + | 0.0494377i | ||||
\(93\) | 5.94961 | + | 3.70048i | 0.616946 | + | 0.383722i | ||||
\(94\) | −3.25040 | − | 5.62987i | −0.335254 | − | 0.580676i | ||||
\(95\) | −9.89629 | + | 2.26868i | −1.01534 | + | 0.232762i | ||||
\(96\) | −2.29294 | − | 9.83803i | −0.234022 | − | 1.00409i | ||||
\(97\) | −1.69801 | + | 6.33706i | −0.172407 | + | 0.643431i | 0.824572 | + | 0.565757i | \(0.191416\pi\) |
−0.996979 | + | 0.0776741i | \(0.975251\pi\) | |||||||
\(98\) | −4.61057 | − | 3.17333i | −0.465738 | − | 0.320555i | ||||
\(99\) | −3.16352 | + | 4.73262i | −0.317945 | + | 0.475646i | ||||
\(100\) | −6.78526 | − | 0.495489i | −0.678526 | − | 0.0495489i | ||||
\(101\) | − | 17.1328i | − | 1.70478i | −0.522908 | − | 0.852389i | \(-0.675153\pi\) | ||
0.522908 | − | 0.852389i | \(-0.324847\pi\) | |||||||
\(102\) | −1.47414 | + | 2.37011i | −0.145962 | + | 0.234676i | ||||
\(103\) | −11.2221 | + | 11.2221i | −1.10574 | + | 1.10574i | −0.112037 | + | 0.993704i | \(0.535738\pi\) |
−0.993704 | + | 0.112037i | \(0.964262\pi\) | |||||||
\(104\) | 0.477906 | − | 0.827758i | 0.0468626 | − | 0.0811684i | ||||
\(105\) | −8.75912 | + | 5.31769i | −0.854803 | + | 0.518953i | ||||
\(106\) | 3.50250 | + | 6.06650i | 0.340193 | + | 0.589231i | ||||
\(107\) | 4.26877 | + | 1.14381i | 0.412677 | + | 0.110577i | 0.459183 | − | 0.888341i | \(-0.348142\pi\) |
−0.0465063 | + | 0.998918i | \(0.514809\pi\) | |||||||
\(108\) | −6.44083 | + | 2.91612i | −0.619769 | + | 0.280604i | ||||
\(109\) | 5.17609 | + | 2.98842i | 0.495779 | + | 0.286238i | 0.726969 | − | 0.686670i | \(-0.240928\pi\) |
−0.231190 | + | 0.972909i | \(0.574262\pi\) | |||||||
\(110\) | 3.39038 | + | 0.123626i | 0.323261 | + | 0.0117873i | ||||
\(111\) | −3.29689 | − | 14.1456i | −0.312927 | − | 1.34264i | ||||
\(112\) | 0.257122 | − | 1.49335i | 0.0242958 | − | 0.141108i | ||||
\(113\) | 18.3555 | − | 4.91835i | 1.72674 | − | 0.462679i | 0.747315 | − | 0.664470i | \(-0.231343\pi\) |
0.979429 | + | 0.201791i | \(0.0646761\pi\) | |||||||
\(114\) | 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 | ||||
\(117\) | −1.01040 | − | 0.343197i | −0.0934119 | − | 0.0317286i | ||||
\(118\) | −4.19517 | + | 4.19517i | −0.386197 | + | 0.386197i | ||||
\(119\) | −4.35554 | + | 3.07600i | −0.399272 | + | 0.281976i | ||||
\(120\) | 8.63117 | + | 5.81493i | 0.787914 | + | 0.530828i | ||||
\(121\) | −7.39939 | −0.672671 | ||||||||
\(122\) | −0.971275 | + | 3.62485i | −0.0879351 | + | 0.328178i | ||||
\(123\) | 0.0243350 | − | 0.741235i | 0.00219421 | − | 0.0668349i | ||||
\(124\) | 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 | −0.913579 | − | 0.406662i | \(-0.866693\pi\) |
0.406662 | + | 0.913579i | \(0.366693\pi\) | |||||||
\(128\) | −8.55000 | + | 2.29096i | −0.755720 | + | 0.202495i | ||||
\(129\) | 14.1513 | − | 3.29823i | 1.24595 | − | 0.290393i | ||||
\(130\) | 0.142106 | + | 0.619884i | 0.0124635 | + | 0.0543674i | ||||
\(131\) | 9.76378i | 0.853066i | 0.904472 | + | 0.426533i | \(0.140265\pi\) | ||||
−0.904472 | + | 0.426533i | \(0.859735\pi\) | |||||||
\(132\) | 3.79740 | + | 2.36187i | 0.330521 | + | 0.205574i | ||||
\(133\) | 9.23366 | + | 7.68481i | 0.800660 | + | 0.666358i | ||||
\(134\) | 11.8006i | 1.01941i | ||||||||
\(135\) | 4.48932 | − | 10.7166i | 0.386379 | − | 0.922340i | ||||
\(136\) | 4.69006 | + | 2.70781i | 0.402170 | + | 0.232193i | ||||
\(137\) | 13.2518 | − | 13.2518i | 1.13217 | − | 1.13217i | 0.142360 | − | 0.989815i | \(-0.454531\pi\) |
0.989815 | − | 0.142360i | \(-0.0454691\pi\) | |||||||
\(138\) | 1.86378 | + | 0.0611886i | 0.158656 | + | 0.00520872i | ||||
\(139\) | 1.20016 | − | 2.07873i | 0.101796 | − | 0.176316i | −0.810629 | − | 0.585561i | \(-0.800874\pi\) |
0.912425 | + | 0.409245i | \(0.134208\pi\) | |||||||
\(140\) | 4.40100 | + | 6.74021i | 0.371953 | + | 0.569652i | ||||
\(141\) | 9.62537 | + | 10.2788i | 0.810603 | + | 0.865634i | ||||
\(142\) | 0.666592 | + | 2.48776i | 0.0559392 | + | 0.208768i | ||||
\(143\) | 0.174690 | + | 0.651952i | 0.0146083 | + | 0.0545189i | ||||
\(144\) | 0.759659 | + | 1.54116i | 0.0633049 | + | 0.128430i | ||||
\(145\) | 1.30334 | + | 5.68532i | 0.108236 | + | 0.472140i | ||||
\(146\) | 6.46955 | − | 3.73520i | 0.535424 | − | 0.309127i | ||||
\(147\) | 11.2870 | + | 4.42763i | 0.930935 | + | 0.365185i | ||||
\(148\) | −11.0215 | + | 2.95321i | −0.905964 | + | 0.242752i | ||||
\(149\) | 4.14875i | 0.339879i | 0.985454 | + | 0.169940i | \(0.0543572\pi\) | ||||
−0.985454 | + | 0.169940i | \(0.945643\pi\) | |||||||
\(150\) | −6.84042 | + | 1.07645i | −0.558518 | + | 0.0878917i | ||||
\(151\) | 15.5663 | 1.26677 | 0.633384 | − | 0.773838i | \(-0.281665\pi\) | ||||
0.633384 | + | 0.773838i | \(0.281665\pi\) | |||||||
\(152\) | 3.15788 | − | 11.7854i | 0.256138 | − | 0.955918i | ||||
\(153\) | 1.94455 | − | 5.72493i | 0.157207 | − | 0.462833i | ||||
\(154\) | −2.31569 | − | 3.27896i | −0.186603 | − | 0.264226i | ||||
\(155\) | 2.02119 | + | 8.81668i | 0.162346 | + | 0.708173i | ||||
\(156\) | −0.243418 | + | 0.802172i | −0.0194891 | + | 0.0642252i | ||||
\(157\) | 5.40107 | − | 20.1571i | 0.431052 | − | 1.60871i | −0.319288 | − | 0.947658i | \(-0.603444\pi\) |
0.750341 | − | 0.661051i | \(-0.229890\pi\) | |||||||
\(158\) | 2.09759 | − | 7.82833i | 0.166876 | − | 0.622788i | ||||
\(159\) | −10.3719 | − | 11.0760i | −0.822544 | − | 0.878386i | ||||
\(160\) | 6.92784 | − | 11.0489i | 0.547694 | − | 0.873496i | ||||
\(161\) | 3.23475 | + | 1.49256i | 0.254934 | + | 0.117630i | ||||
\(162\) | −5.71082 | + | 4.37867i | −0.448684 | + | 0.344021i | ||||
\(163\) | 3.33601 | − | 12.4502i | 0.261296 | − | 0.975172i | −0.703182 | − | 0.711010i | \(-0.748238\pi\) |
0.964478 | − | 0.264162i | \(-0.0850953\pi\) | |||||||
\(164\) | −0.582613 | −0.0454944 | ||||||||
\(165\) | −7.21330 | + | 1.40622i | −0.561555 | + | 0.109474i | ||||
\(166\) | 13.9245i | 1.08075i | ||||||||
\(167\) | 8.51613 | − | 2.28189i | 0.658998 | − | 0.176578i | 0.0862041 | − | 0.996277i | \(-0.472526\pi\) |
0.572794 | + | 0.819700i | \(0.305860\pi\) | |||||||
\(168\) | −0.719644 | − | 12.2930i | −0.0555218 | − | 0.948422i | ||||
\(169\) | 11.1488 | − | 6.43674i | 0.857597 | − | 0.495134i | ||||
\(170\) | −3.51225 | + | 0.805169i | −0.269378 | + | 0.0617536i | ||||
\(171\) | −13.5923 | − | 0.893446i | −1.03943 | − | 0.0683235i | ||||
\(172\) | −2.95440 | − | 11.0260i | −0.225271 | − | 0.840724i | ||||
\(173\) | 5.94419 | + | 22.1840i | 0.451928 | + | 1.68662i | 0.696965 | + | 0.717105i | \(0.254533\pi\) |
−0.245037 | + | 0.969514i | \(0.578800\pi\) | |||||||
\(174\) | 1.04900 | − | 3.45692i | 0.0795244 | − | 0.262069i | ||||
\(175\) | −12.8388 | − | 3.18820i | −0.970524 | − | 0.241005i | ||||
\(176\) | 0.543394 | − | 0.941186i | 0.0409599 | − | 0.0709446i | ||||
\(177\) | 6.78760 | − | 10.9131i | 0.510187 | − | 0.820276i | ||||
\(178\) | 0.978721 | − | 0.978721i | 0.0733582 | − | 0.0733582i | ||||
\(179\) | 5.47867 | + | 3.16311i | 0.409495 | + | 0.236422i | 0.690573 | − | 0.723263i | \(-0.257359\pi\) |
−0.281078 | + | 0.959685i | \(0.590692\pi\) | |||||||
\(180\) | −8.52996 | − | 3.24858i | −0.635785 | − | 0.242135i | ||||
\(181\) | 19.4981i | 1.44928i | 0.689128 | + | 0.724640i | \(0.257994\pi\) | ||||
−0.689128 | + | 0.724640i | \(0.742006\pi\) | |||||||
\(182\) | 0.481362 | − | 0.578378i | 0.0356809 | − | 0.0428723i | ||||
\(183\) | 0.266737 | − | 8.12472i | 0.0197178 | − | 0.600597i | ||||
\(184\) | − | 3.61821i | − | 0.266738i | ||||||
\(185\) | 9.96118 | − | 15.8867i | 0.732361 | − | 1.16801i | ||||
\(186\) | 1.62677 | − | 5.36092i | 0.119280 | − | 0.393082i | ||||
\(187\) | −3.69395 | + | 0.989790i | −0.270128 | + | 0.0723806i | ||||
\(188\) | 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 | \(0.868398\pi\) | |||||||
\(192\) | −5.37394 | + | 2.87178i | −0.387831 | + | 0.207253i | ||||
\(193\) | −2.45093 | + | 9.14701i | −0.176422 | + | 0.658416i | 0.819883 | + | 0.572531i | \(0.194038\pi\) |
−0.996305 | + | 0.0858851i | \(0.972628\pi\) | |||||||
\(194\) | 5.24576 | 0.376624 | ||||||||
\(195\) | −0.604586 | − | 1.23786i | −0.0432953 | − | 0.0886453i | ||||
\(196\) | 3.18544 | − | 8.97619i | 0.227532 | − | 0.641157i | ||||
\(197\) | 3.48413 | − | 3.48413i | 0.248234 | − | 0.248234i | −0.572012 | − | 0.820245i | \(-0.693837\pi\) |
0.820245 | + | 0.572012i | \(0.193837\pi\) | |||||||
\(198\) | 4.30987 | + | 1.46390i | 0.306289 | + | 0.104035i | ||||
\(199\) | −0.232271 | + | 0.402305i | −0.0164653 | + | 0.0285187i | −0.874141 | − | 0.485673i | \(-0.838575\pi\) |
0.857675 | + | 0.514192i | \(0.171908\pi\) | |||||||
\(200\) | 2.52299 | + | 13.1967i | 0.178402 | + | 0.933145i | ||||
\(201\) | −5.80226 | − | 24.8951i | −0.409260 | − | 1.75596i | ||||
\(202\) | −13.2323 | + | 3.54559i | −0.931024 | + | 0.249467i | ||||
\(203\) | 4.41485 | − | 5.30465i | 0.309862 | − | 0.372313i | ||||
\(204\) | −4.54510 | − | 1.37920i | −0.318220 | − | 0.0965636i | ||||
\(205\) | 0.701237 | − | 0.651896i | 0.0489765 | − | 0.0455304i | ||||
\(206\) | 10.9896 | + | 6.34485i | 0.765682 | + | 0.442067i | ||||
\(207\) | −3.96201 | + | 0.787322i | −0.275379 | + | 0.0547227i | ||||
\(208\) | 0.196781 | + | 0.0527274i | 0.0136443 | + | 0.00365599i | ||||
\(209\) | 4.30792 | + | 7.46154i | 0.297985 | + | 0.516125i | ||||
\(210\) | 5.91974 | + | 5.66453i | 0.408501 | + | 0.390890i | ||||
\(211\) | −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 | ||||
\(213\) | −2.62949 | − | 4.92053i | −0.180169 | − | 0.337149i | ||||
\(214\) | − | 3.53364i | − | 0.241555i | ||||||
\(215\) | 15.8931 | + | 9.96521i | 1.08390 | + | 0.679622i | ||||
\(216\) | 8.85485 | + | 10.7958i | 0.602496 | + | 0.734564i | ||||
\(217\) | 6.84646 | − | 8.22634i | 0.464768 | − | 0.558440i | ||||
\(218\) | 1.23689 | − | 4.61614i | 0.0837728 | − | 0.312644i | ||||
\(219\) | −11.8119 | + | 11.0610i | −0.798175 | + | 0.747432i | ||||
\(220\) | 1.29004 | + | 5.62733i | 0.0869746 | + | 0.379394i | ||||
\(221\) | −0.358436 | − | 0.620830i | −0.0241110 | − | 0.0417615i | ||||
\(222\) | −10.2429 | + | 5.47372i | −0.687459 | + | 0.367372i | ||||
\(223\) | 2.04042 | + | 0.546729i | 0.136637 | + | 0.0366116i | 0.326489 | − | 0.945201i | \(-0.394134\pi\) |
−0.189853 | + | 0.981813i | \(0.560801\pi\) | |||||||
\(224\) | −15.3664 | + | 1.40675i | −1.02671 | + | 0.0939925i | ||||
\(225\) | 13.9016 | − | 5.63431i | 0.926773 | − | 0.375621i | ||||
\(226\) | −7.59727 | − | 13.1589i | −0.505363 | − | 0.875314i | ||||
\(227\) | −1.61863 | − | 1.61863i | −0.107432 | − | 0.107432i | 0.651347 | − | 0.758780i | \(-0.274204\pi\) |
−0.758780 | + | 0.651347i | \(0.774204\pi\) | |||||||
\(228\) | −0.351126 | + | 10.6952i | −0.0232539 | + | 0.708304i | ||||
\(229\) | 0.131734 | 0.00870523 | 0.00435262 | − | 0.999991i | \(-0.498615\pi\) | ||||
0.00435262 | + | 0.999991i | \(0.498615\pi\) | |||||||
\(230\) | 1.63915 | + | 1.76321i | 0.108082 | + | 0.116263i | ||||
\(231\) | 6.49752 | + | 5.77885i | 0.427506 | + | 0.380220i | ||||
\(232\) | −6.77057 | − | 1.81417i | −0.444510 | − | 0.119106i | ||||
\(233\) | −1.96018 | + | 7.31550i | −0.128416 | + | 0.479254i | −0.999938 | − | 0.0111012i | \(-0.996466\pi\) |
0.871523 | + | 0.490355i | \(0.163133\pi\) | |||||||
\(234\) | −0.0559637 | + | 0.851398i | −0.00365846 | + | 0.0556576i | ||||
\(235\) | −0.662460 | + | 18.1677i | −0.0432141 | + | 1.18513i | ||||
\(236\) | −8.74344 | − | 5.04802i | −0.569149 | − | 0.328598i | ||||
\(237\) | −0.576054 | + | 17.5464i | −0.0374187 | + | 1.13976i | ||||
\(238\) | 3.27708 | + | 2.72739i | 0.212422 | + | 0.176790i | ||||
\(239\) | 7.82313 | + | 4.51669i | 0.506036 | + | 0.292160i | 0.731203 | − | 0.682160i | \(-0.238959\pi\) |
−0.225167 | + | 0.974320i | \(0.572293\pi\) | |||||||
\(240\) | −0.721030 | + | 2.09775i | −0.0465423 | + | 0.135409i | ||||
\(241\) | 16.0799i | 1.03580i | 0.855441 | + | 0.517900i | \(0.173286\pi\) | ||||
−0.855441 | + | 0.517900i | \(0.826714\pi\) | |||||||
\(242\) | 1.53129 | + | 5.71484i | 0.0984348 | + | 0.367364i | ||||
\(243\) | 9.89485 | − | 12.0454i | 0.634755 | − | 0.772713i | ||||
\(244\) | −6.38606 | −0.408826 | ||||||||
\(245\) | 6.20961 | + | 14.3680i | 0.396717 | + | 0.917941i | ||||
\(246\) | −0.577521 | + | 0.134602i | −0.0368214 | + | 0.00858190i | ||||
\(247\) | −1.14203 | + | 1.14203i | −0.0726657 | + | 0.0726657i | ||||
\(248\) | −10.4997 | − | 2.81338i | −0.666729 | − | 0.178650i | ||||
\(249\) | −6.84657 | − | 29.3758i | −0.433884 | − | 1.86161i | ||||
\(250\) | −7.20794 | − | 5.28796i | −0.455870 | − | 0.334440i | ||||
\(251\) | − | 11.2568i | − | 0.710521i | −0.934767 | − | 0.355260i | \(-0.884392\pi\) | ||
0.934767 | − | 0.355260i | \(-0.115608\pi\) | |||||||
\(252\) | 3.06192 | + | 10.3568i | 0.192883 | + | 0.652417i | ||||
\(253\) | 1.80667 | + | 1.80667i | 0.113584 | + | 0.113584i | ||||
\(254\) | 5.59434 | + | 3.22989i | 0.351020 | + | 0.202661i | ||||
\(255\) | 7.01372 | − | 3.42557i | 0.439216 | − | 0.214518i | ||||
\(256\) | 7.05668 | + | 12.2225i | 0.441042 | + | 0.763908i | ||||
\(257\) | 4.00109 | + | 4.00109i | 0.249581 | + | 0.249581i | 0.820799 | − | 0.571217i | \(-0.193529\pi\) |
−0.571217 | + | 0.820799i | \(0.693529\pi\) | |||||||
\(258\) | −5.47593 | − | 10.2471i | −0.340917 | − | 0.637954i | ||||
\(259\) | −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 | ||||
\(262\) | 7.54095 | − | 2.02059i | 0.465882 | − | 0.124833i | ||||
\(263\) | −1.72403 | − | 1.72403i | −0.106308 | − | 0.106308i | 0.651952 | − | 0.758260i | \(-0.273950\pi\) |
−0.758260 | + | 0.651952i | \(0.773950\pi\) | |||||||
\(264\) | 2.56446 | − | 8.45105i | 0.157832 | − | 0.520126i | ||||
\(265\) | 0.713839 | − | 19.5767i | 0.0438508 | − | 1.20259i | ||||
\(266\) | 4.02440 | − | 8.72187i | 0.246752 | − | 0.534772i | ||||
\(267\) | −1.58353 | + | 2.54599i | −0.0969103 | + | 0.155812i | ||||
\(268\) | −19.3970 | + | 5.19741i | −1.18486 | + | 0.317482i | ||||
\(269\) | 2.87950 | − | 4.98744i | 0.175566 | − | 0.304090i | −0.764791 | − | 0.644279i | \(-0.777158\pi\) |
0.940357 | + | 0.340189i | \(0.110491\pi\) | |||||||
\(270\) | −9.20592 | − | 1.24950i | −0.560255 | − | 0.0760419i | ||||
\(271\) | −22.3773 | + | 12.9196i | −1.35933 | + | 0.784808i | −0.989533 | − | 0.144306i | \(-0.953905\pi\) |
−0.369793 | + | 0.929114i | \(0.620572\pi\) | |||||||
\(272\) | −0.298753 | + | 1.11496i | −0.0181145 | + | 0.0676044i | ||||
\(273\) | −0.731119 | + | 1.45686i | −0.0442494 | + | 0.0881730i | ||||
\(274\) | −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 | −0.969202 | − | 0.246266i | \(-0.920796\pi\) |
0.246266 | + | 0.969202i | \(0.420796\pi\) | |||||||
\(278\) | −1.85386 | − | 0.496739i | −0.111187 | − | 0.0297924i | ||||
\(279\) | −0.795978 | + | 12.1095i | −0.0476539 | + | 0.724978i | ||||
\(280\) | 10.6080 | − | 11.8404i | 0.633948 | − | 0.707599i | ||||
\(281\) | −16.1409 | − | 27.9568i | −0.962884 | − | 1.66776i | −0.715196 | − | 0.698924i | \(-0.753663\pi\) |
−0.247688 | − | 0.968840i | \(-0.579671\pi\) | |||||||
\(282\) | 5.94680 | − | 9.56123i | 0.354127 | − | 0.569363i | ||||
\(283\) | −1.18417 | − | 0.317296i | −0.0703914 | − | 0.0188613i | 0.223451 | − | 0.974715i | \(-0.428268\pi\) |
−0.293843 | + | 0.955854i | \(0.594934\pi\) | |||||||
\(284\) | −3.79561 | + | 2.19140i | −0.225228 | + | 0.130035i | ||||
\(285\) | −11.5444 | − | 13.2656i | −0.683831 | − | 0.785789i | ||||
\(286\) | 0.467376 | − | 0.269840i | 0.0276365 | − | 0.0159560i | ||||
\(287\) | −1.11644 | − | 0.192226i | −0.0659012 | − | 0.0113467i | ||||
\(288\) | 13.1569 | − | 11.5339i | 0.775275 | − | 0.679641i | ||||
\(289\) | −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 | ||||
\(293\) | 1.51599 | + | 5.65776i | 0.0885653 | + | 0.330530i | 0.995965 | − | 0.0897376i | \(-0.0286028\pi\) |
−0.907400 | + | 0.420268i | \(0.861936\pi\) | |||||||
\(294\) | 1.08382 | − | 9.63367i | 0.0632095 | − | 0.561847i | ||||
\(295\) | 16.1720 | − | 3.70736i | 0.941569 | − | 0.215851i | ||||
\(296\) | 11.2670 | + | 19.5149i | 0.654878 | + | 1.13428i | ||||
\(297\) | −9.81210 | − | 0.969190i | −0.569356 | − | 0.0562381i | ||||
\(298\) | 3.20424 | − | 0.858575i | 0.185617 | − | 0.0497359i | ||||
\(299\) | −0.239474 | + | 0.414781i | −0.0138491 | + | 0.0239874i | ||||
\(300\) | −4.78216 | − | 10.7697i | −0.276098 | − | 0.621789i | ||||
\(301\) | −2.02351 | − | 22.1034i | −0.116633 | − | 1.27402i | ||||
\(302\) | −3.22141 | − | 12.0225i | −0.185371 | − | 0.691815i | ||||
\(303\) | 26.1722 | − | 13.9862i | 1.50356 | − | 0.803486i | ||||
\(304\) | 2.60056 | 0.149152 | ||||||||
\(305\) | 7.68630 | − | 7.14548i | 0.440116 | − | 0.409149i | ||||
\(306\) | −4.82401 | − | 0.317089i | −0.275770 | − | 0.0181268i | ||||
\(307\) | 3.77724 | + | 3.77724i | 0.215578 | + | 0.215578i | 0.806632 | − | 0.591054i | \(-0.201288\pi\) |
−0.591054 | + | 0.806632i | \(0.701288\pi\) | |||||||
\(308\) | 4.36982 | − | 5.25054i | 0.248994 | − | 0.299177i | ||||
\(309\) | −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 | \(0.535927\pi\) | |||||||
\(312\) | 1.65462 | + | 0.0543219i | 0.0936747 | + | 0.00307537i | ||||
\(313\) | 3.22468 | + | 12.0347i | 0.182270 | + | 0.680240i | 0.995199 | + | 0.0978768i | \(0.0312051\pi\) |
−0.812929 | + | 0.582363i | \(0.802128\pi\) | |||||||
\(314\) | −16.6858 | −0.941636 | ||||||||
\(315\) | −15.2738 | − | 9.03947i | −0.860579 | − | 0.509316i | ||||
\(316\) | 13.7915 | 0.775834 | ||||||||
\(317\) | 3.82525 | + | 14.2760i | 0.214848 | + | 0.801822i | 0.986220 | + | 0.165438i | \(0.0529039\pi\) |
−0.771373 | + | 0.636384i | \(0.780429\pi\) | |||||||
\(318\) | −6.40801 | + | 10.3028i | −0.359344 | + | 0.577751i | ||||
\(319\) | 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 | ||||
\(322\) | 0.483339 | − | 2.80720i | 0.0269354 | − | 0.156439i | ||||
\(323\) | −6.47073 | − | 6.47073i | −0.360041 | − | 0.360041i | ||||
\(324\) | −9.71260 | − | 7.45852i | −0.539589 | − | 0.414362i | ||||
\(325\) | 0.584202 | − | 1.67981i | 0.0324057 | − | 0.0931791i | ||||
\(326\) | −10.3061 | −0.570803 | ||||||||
\(327\) | −0.339682 | + | 10.3466i | −0.0187845 | + | 0.572168i | ||||
\(328\) | 0.297793 | + | 1.11138i | 0.0164429 | + | 0.0613656i | ||||
\(329\) | 17.5706 | − | 12.4088i | 0.968699 | − | 0.684120i | ||||
\(330\) | 2.57886 | + | 5.28010i | 0.141961 | + | 0.290660i | ||||
\(331\) | 3.28364 | − | 5.68743i | 0.180485 | − | 0.312610i | −0.761561 | − | 0.648094i | \(-0.775567\pi\) |
0.942046 | + | 0.335484i | \(0.108900\pi\) | |||||||
\(332\) | −22.8881 | + | 6.13285i | −1.25615 | + | 0.336584i | ||||
\(333\) | 18.9175 | − | 16.5840i | 1.03668 | − | 0.908796i | ||||
\(334\) | −3.52479 | − | 6.10511i | −0.192868 | − | 0.334057i | ||||
\(335\) | 17.5309 | − | 27.9593i | 0.957813 | − | 1.52758i | ||||
\(336\) | 2.49116 | − | 0.826300i | 0.135904 | − | 0.0450784i | ||||
\(337\) | −3.65517 | − | 13.6413i | −0.199110 | − | 0.743087i | −0.991165 | − | 0.132638i | \(-0.957655\pi\) |
0.792055 | − | 0.610450i | \(-0.209011\pi\) | |||||||
\(338\) | −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 | ||||
\(342\) | 2.12286 | + | 10.6828i | 0.114791 | + | 0.577660i | ||||
\(343\) | 9.06571 | − | 16.1497i | 0.489503 | − | 0.872002i | ||||
\(344\) | −19.5228 | + | 11.2715i | −1.05260 | + | 0.607719i | ||||
\(345\) | −4.32498 | − | 2.91380i | −0.232849 | − | 0.156874i | ||||
\(346\) | 15.9034 | − | 9.18185i | 0.854974 | − | 0.493620i | ||||
\(347\) | 26.4697 | + | 7.09254i | 1.42097 | + | 0.380747i | 0.885827 | − | 0.464015i | \(-0.153592\pi\) |
0.535141 | + | 0.844763i | \(0.320258\pi\) | |||||||
\(348\) | 6.14427 | + | 0.201718i | 0.329367 | + | 0.0108132i | ||||
\(349\) | 5.35414 | + | 9.27365i | 0.286601 | + | 0.496407i | 0.972996 | − | 0.230822i | \(-0.0741414\pi\) |
−0.686395 | + | 0.727229i | \(0.740808\pi\) | |||||||
\(350\) | 0.194594 | + | 10.5757i | 0.0104015 | + | 0.565296i | ||||
\(351\) | −0.300563 | − | 1.82367i | −0.0160428 | − | 0.0973402i | ||||
\(352\) | −10.6897 | − | 2.86430i | −0.569764 | − | 0.152668i | ||||
\(353\) | 12.9115 | − | 12.9115i | 0.687207 | − | 0.687207i | −0.274407 | − | 0.961614i | \(-0.588481\pi\) |
0.961614 | + | 0.274407i | \(0.0884814\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | −8.25452 | − | 4.14251i | −0.436876 | − | 0.219245i | ||||
\(358\) | 1.30920 | − | 4.88599i | 0.0691932 | − | 0.258233i | ||||
\(359\) | 6.12023 | − | 3.53352i | 0.323013 | − | 0.186492i | −0.329722 | − | 0.944078i | \(-0.606955\pi\) |
0.652735 | + | 0.757586i | \(0.273622\pi\) | |||||||
\(360\) | −1.83697 | + | 17.9320i | −0.0968167 | + | 0.945100i | ||||
\(361\) | −0.808341 | + | 1.40009i | −0.0425442 | + | 0.0736888i | ||||
\(362\) | 15.0591 | − | 4.03508i | 0.791490 | − | 0.212079i | ||||
\(363\) | −6.04042 | − | 11.3034i | −0.317040 | − | 0.593273i | ||||
\(364\) | 1.16271 | + | 0.536490i | 0.0609424 | + | 0.0281197i | ||||
\(365\) | −20.8774 | − | 0.761265i | −1.09277 | − | 0.0398464i | ||||
\(366\) | −6.33024 | + | 1.47538i | −0.330887 | + | 0.0771194i | ||||
\(367\) | 15.4582 | + | 15.4582i | 0.806912 | + | 0.806912i | 0.984165 | − | 0.177253i | \(-0.0567212\pi\) |
−0.177253 | + | 0.984165i | \(0.556721\pi\) | |||||||
\(368\) | 0.744912 | − | 0.199599i | 0.0388312 | − | 0.0104048i | ||||
\(369\) | 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 | ||||
\(372\) | 9.52840 | + | 0.312821i | 0.494025 | + | 0.0162190i | ||||
\(373\) | 13.2315 | + | 13.2315i | 0.685103 | + | 0.685103i | 0.961145 | − | 0.276042i | \(-0.0890230\pi\) |
−0.276042 | + | 0.961145i | \(0.589023\pi\) | |||||||
\(374\) | 1.52891 | + | 2.64815i | 0.0790579 | + | 0.136932i | ||||
\(375\) | 17.8063 | + | 7.61163i | 0.919512 | + | 0.393063i | ||||
\(376\) | −18.9201 | − | 10.9235i | −0.975729 | − | 0.563338i | ||||
\(377\) | 0.656086 | + | 0.656086i | 0.0337901 | + | 0.0337901i | ||||
\(378\) | 5.42791 | + | 9.55888i | 0.279181 | + | 0.491656i | ||||
\(379\) | − | 14.4563i | − | 0.742571i | −0.928519 | − | 0.371285i | \(-0.878917\pi\) | ||
0.928519 | − | 0.371285i | \(-0.121083\pi\) | |||||||
\(380\) | −10.1180 | + | 9.40611i | −0.519044 | + | 0.482523i | ||||
\(381\) | −13.3902 | − | 4.06324i | −0.686000 | − | 0.208166i | ||||
\(382\) | 17.2023 | + | 4.60934i | 0.880147 | + | 0.235835i | ||||
\(383\) | −6.79699 | + | 6.79699i | −0.347310 | + | 0.347310i | −0.859107 | − | 0.511797i | \(-0.828980\pi\) |
0.511797 | + | 0.859107i | \(0.328980\pi\) | |||||||
\(384\) | −10.4794 | − | 11.1908i | −0.534775 | − | 0.571080i | ||||
\(385\) | 0.615383 | + | 11.2090i | 0.0313628 | + | 0.571266i | ||||
\(386\) | 7.57181 | 0.385395 | ||||||||
\(387\) | 16.5907 | + | 18.9252i | 0.843352 | + | 0.962022i | ||||
\(388\) | 2.31042 | + | 8.62262i | 0.117294 | + | 0.437747i | ||||
\(389\) | − | 4.44912i | − | 0.225579i | −0.993619 | − | 0.112790i | \(-0.964021\pi\) | ||
0.993619 | − | 0.112790i | \(-0.0359786\pi\) | |||||||
\(390\) | −0.830934 | + | 0.723118i | −0.0420760 | + | 0.0366165i | ||||
\(391\) | −2.35014 | − | 1.35685i | −0.118852 | − | 0.0686191i | ||||
\(392\) | −18.7510 | − | 1.48844i | −0.947067 | − | 0.0751777i | ||||
\(393\) | −14.9152 | + | 7.97057i | −0.752375 | + | 0.402062i | ||||
\(394\) | −3.41196 | − | 1.96989i | −0.171892 | − | 0.0992419i | ||||
\(395\) | −16.5996 | + | 15.4316i | −0.835214 | + | 0.776447i | ||||
\(396\) | −0.508040 | + | 7.72902i | −0.0255300 | + | 0.388398i | ||||
\(397\) | 1.78834 | − | 6.67418i | 0.0897542 | − | 0.334967i | −0.906418 | − | 0.422382i | \(-0.861194\pi\) |
0.996172 | + | 0.0874150i | \(0.0278606\pi\) | |||||||
\(398\) | 0.358784 | + | 0.0961359i | 0.0179842 | + | 0.00481886i | ||||
\(399\) | −4.20159 | + | 20.3788i | −0.210342 | + | 1.02022i | ||||
\(400\) | −2.57773 | + | 1.24742i | −0.128886 | + | 0.0623712i | ||||
\(401\) | 27.5158 | 1.37407 | 0.687037 | − | 0.726622i | \(-0.258911\pi\) | ||||
0.687037 | + | 0.726622i | \(0.258911\pi\) | |||||||
\(402\) | −18.0267 | + | 9.63329i | −0.899089 | + | 0.480465i | ||||
\(403\) | 1.01744 | + | 1.01744i | 0.0506825 | + | 0.0506825i | ||||
\(404\) | −11.6560 | − | 20.1888i | −0.579908 | − | 1.00443i | ||||
\(405\) | 20.0356 | − | 1.89049i | 0.995578 | − | 0.0939390i | ||||
\(406\) | −5.01063 | − | 2.31198i | −0.248673 | − | 0.114742i | ||||
\(407\) | −15.3702 | − | 4.11843i | −0.761872 | − | 0.204143i | ||||
\(408\) | −0.307787 | + | 9.37508i | −0.0152377 | + | 0.464135i | ||||
\(409\) | 16.9076 | + | 29.2848i | 0.836026 | + | 1.44804i | 0.893192 | + | 0.449675i | \(0.148460\pi\) |
−0.0571656 | + | 0.998365i | \(0.518206\pi\) | |||||||
\(410\) | −0.648604 | − | 0.406684i | −0.0320323 | − | 0.0200847i | ||||
\(411\) | 31.0615 | + | 9.42557i | 1.53215 | + | 0.464929i | ||||
\(412\) | −5.58901 | + | 20.8585i | −0.275351 | + | 1.02762i | ||||
\(413\) | −15.0891 | − | 12.5581i | −0.742488 | − | 0.617944i | ||||
\(414\) | 1.42801 | + | 2.89708i | 0.0701828 | + | 0.142384i | ||||
\(415\) | 20.6861 | − | 32.9915i | 1.01544 | − | 1.61949i | ||||
\(416\) | − | 2.07452i | − | 0.101712i | ||||||
\(417\) | 4.15523 | + | 0.136417i | 0.203482 | + | 0.00668039i | ||||
\(418\) | 4.87132 | − | 4.87132i | 0.238264 | − | 0.238264i | ||||
\(419\) | −12.1462 | + | 21.0378i | −0.593380 | + | 1.02776i | 0.400393 | + | 0.916343i | \(0.368873\pi\) |
−0.993773 | + | 0.111421i | \(0.964460\pi\) | |||||||
\(420\) | −6.70369 | + | 12.2253i | −0.327107 | + | 0.596534i | ||||
\(421\) | −2.49624 | − | 4.32361i | −0.121659 | − | 0.210720i | 0.798763 | − | 0.601646i | \(-0.205488\pi\) |
−0.920422 | + | 0.390926i | \(0.872155\pi\) | |||||||
\(422\) | 17.0900 | + | 4.57925i | 0.831928 | + | 0.222914i | ||||
\(423\) | −7.84446 | + | 23.0948i | −0.381411 | + | 1.12291i | ||||
\(424\) | 20.3875 | + | 11.7707i | 0.990104 | + | 0.571637i | ||||
\(425\) | 9.51778 | + | 3.31008i | 0.461680 | + | 0.160562i | ||||
\(426\) | −3.25615 | + | 3.04915i | −0.157761 | + | 0.147732i | ||||
\(427\) | −12.2373 | − | 2.10700i | −0.592206 | − | 0.101965i | ||||
\(428\) | 5.80836 | − | 1.55635i | 0.280758 | − | 0.0752288i | ||||
\(429\) | −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 | \(0.208453\pi\) | |||||||
\(432\) | −1.73416 | + | 2.41858i | −0.0834346 | + | 0.116364i | ||||
\(433\) | −12.6985 | + | 12.6985i | −0.610249 | + | 0.610249i | −0.943011 | − | 0.332762i | \(-0.892019\pi\) |
0.332762 | + | 0.943011i | \(0.392019\pi\) | |||||||
\(434\) | −7.77038 | − | 3.58537i | −0.372990 | − | 0.172103i | ||||
\(435\) | −7.62098 | + | 6.63214i | −0.365398 | + | 0.317987i | ||||
\(436\) | 8.13246 | 0.389474 | ||||||||
\(437\) | −1.58238 | + | 5.90551i | −0.0756954 | + | 0.282499i | ||||
\(438\) | 10.9873 | + | 6.83376i | 0.524992 | + | 0.326529i | ||||
\(439\) | 5.08944 | − | 8.81517i | 0.242906 | − | 0.420725i | −0.718635 | − | 0.695388i | \(-0.755233\pi\) |
0.961541 | + | 0.274662i | \(0.0885661\pi\) | |||||||
\(440\) | 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 | ||||
\(443\) | −4.48649 | + | 1.20215i | −0.213159 | + | 0.0571159i | −0.363818 | − | 0.931470i | \(-0.618527\pi\) |
0.150659 | + | 0.988586i | \(0.451860\pi\) | |||||||
\(444\) | −13.5087 | − | 14.4258i | −0.641093 | − | 0.684617i | ||||
\(445\) | −3.77288 | + | 0.864916i | −0.178851 | + | 0.0410009i | ||||
\(446\) | − | 1.68904i | − | 0.0799783i | ||||||
\(447\) | −6.33767 | + | 3.38679i | −0.299762 | + | 0.160190i | ||||
\(448\) | 3.21852 | + | 8.73323i | 0.152061 | + | 0.412606i | ||||
\(449\) | − | 36.0848i | − | 1.70295i | −0.524398 | − | 0.851474i | \(-0.675709\pi\) | ||
0.524398 | − | 0.851474i | \(-0.324291\pi\) | |||||||
\(450\) | −7.22850 | − | 9.57074i | −0.340755 | − | 0.451169i | ||||
\(451\) | −0.703636 | − | 0.406244i | −0.0331329 | − | 0.0191293i | ||||
\(452\) | 18.2835 | − | 18.2835i | 0.859984 | − | 0.859984i | ||||
\(453\) | 12.7074 | + | 23.7792i | 0.597046 | + | 1.11725i | ||||
\(454\) | −0.915160 | + | 1.58510i | −0.0429506 | + | 0.0743926i | ||||
\(455\) | −1.99973 | + | 0.655252i | −0.0937488 | + | 0.0307187i | ||||
\(456\) | 20.5813 | − | 4.79686i | 0.963808 | − | 0.224633i | ||||
\(457\) | −7.07140 | − | 26.3908i | −0.330786 | − | 1.23451i | −0.908366 | − | 0.418176i | \(-0.862669\pi\) |
0.577580 | − | 0.816334i | \(-0.303997\pi\) | |||||||
\(458\) | −0.0272621 | − | 0.101743i | −0.00127387 | − | 0.00475415i | ||||
\(459\) | 10.3329 | − | 1.70298i | 0.482297 | − | 0.0794884i | ||||
\(460\) | −2.17630 | + | 3.47090i | −0.101471 | + | 0.161832i | ||||
\(461\) | −2.22321 | + | 1.28357i | −0.103545 | + | 0.0597819i | −0.550878 | − | 0.834586i | \(-0.685707\pi\) |
0.447333 | + | 0.894367i | \(0.352374\pi\) | |||||||
\(462\) | 3.11858 | − | 6.21421i | 0.145090 | − | 0.289111i | ||||
\(463\) | 23.9995 | − | 6.43065i | 1.11535 | − | 0.298858i | 0.346351 | − | 0.938105i | \(-0.387421\pi\) |
0.769001 | + | 0.639247i | \(0.220754\pi\) | |||||||
\(464\) | − | 1.49399i | − | 0.0693569i | ||||||
\(465\) | −11.8185 | + | 10.2850i | −0.548068 | + | 0.476955i | ||||
\(466\) | 6.05570 | 0.280525 | ||||||||
\(467\) | 5.15827 | − | 19.2509i | 0.238696 | − | 0.890827i | −0.737751 | − | 0.675073i | \(-0.764112\pi\) |
0.976448 | − | 0.215755i | \(-0.0692211\pi\) | |||||||
\(468\) | −1.42412 | + | 0.282997i | −0.0658299 | + | 0.0130816i | ||||
\(469\) | −38.8844 | + | 3.55977i | −1.79552 | + | 0.164375i | ||||
\(470\) | 14.1687 | − | 3.24812i | 0.653554 | − | 0.149824i | ||||
\(471\) | 35.2012 | − | 8.20430i | 1.62199 | − | 0.378034i | ||||
\(472\) | −5.16043 | + | 19.2590i | −0.237528 | + | 0.886467i | ||||
\(473\) | 4.12009 | − | 15.3764i | 0.189442 | − | 0.707008i | ||||
\(474\) | 13.6710 | − | 3.18627i | 0.627928 | − | 0.146350i | ||||
\(475\) | 1.65346 | − | 22.6425i | 0.0758657 | − | 1.03891i | ||||
\(476\) | −3.03975 | + | 6.58788i | −0.139327 | + | 0.301955i | ||||
\(477\) | 8.45285 | − | 24.8860i | 0.387030 | − | 1.13945i | ||||
\(478\) | 1.86944 | − | 6.97683i | 0.0855060 | − | 0.319113i | ||||
\(479\) | −13.6387 | −0.623167 | −0.311584 | − | 0.950219i | \(-0.600859\pi\) | ||||
−0.311584 | + | 0.950219i | \(0.600859\pi\) | |||||||
\(480\) | 22.5339 | + | 1.56334i | 1.02853 | + | 0.0713563i | ||||
\(481\) | − | 2.98284i | − | 0.136006i | ||||||
\(482\) | 12.4192 | − | 3.32771i | 0.565678 | − | 0.151573i | ||||
\(483\) | 0.360606 | + | 6.15986i | 0.0164081 | + | 0.280284i | ||||
\(484\) | −8.71922 | + | 5.03404i | −0.396328 | + | 0.228820i | ||||
\(485\) | −12.4288 | − | 7.79306i | −0.564365 | − | 0.353865i | ||||
\(486\) | −11.3509 | − | 5.14941i | −0.514885 | − | 0.233582i | ||||
\(487\) | −0.218040 | − | 0.813737i | −0.00988034 | − | 0.0368739i | 0.960810 | − | 0.277209i | \(-0.0894094\pi\) |
−0.970690 | + | 0.240335i | \(0.922743\pi\) | |||||||
\(488\) | 3.26413 | + | 12.1819i | 0.147760 | + | 0.551449i | ||||
\(489\) | 21.7423 | − | 5.06745i | 0.983220 | − | 0.229158i | ||||
\(490\) | 9.81194 | − | 7.76936i | 0.443258 | − | 0.350984i | ||||
\(491\) | −12.3106 | + | 21.3225i | −0.555568 | + | 0.962271i | 0.442292 | + | 0.896871i | \(0.354166\pi\) |
−0.997859 | + | 0.0653999i | \(0.979168\pi\) | |||||||
\(492\) | −0.475610 | − | 0.890005i | −0.0214422 | − | 0.0401245i | ||||
\(493\) | −3.71737 | + | 3.71737i | −0.167422 | + | 0.167422i | ||||
\(494\) | 1.11838 | + | 0.645694i | 0.0503181 | + | 0.0290512i | ||||
\(495\) | −8.03666 | − | 9.87115i | −0.361221 | − | 0.443675i | ||||
\(496\) | − | 2.31686i | − | 0.104030i | ||||||
\(497\) | −7.99639 | + | 2.94697i | −0.358687 | + | 0.132189i | ||||
\(498\) | −21.2712 | + | 11.3671i | −0.953184 | + | 0.509373i | ||||
\(499\) | − | 7.38528i | − | 0.330610i | −0.986242 | − | 0.165305i | \(-0.947139\pi\) | ||
0.986242 | − | 0.165305i | \(-0.0528609\pi\) | |||||||
\(500\) | 5.51734 | − | 14.1769i | 0.246743 | − | 0.634011i | ||||
\(501\) | 10.4379 | + | 11.1465i | 0.466331 | + | 0.497990i | ||||
\(502\) | −8.69404 | + | 2.32956i | −0.388034 | + | 0.103973i | ||||
\(503\) | −28.2531 | + | 28.2531i | −1.25974 | + | 1.25974i | −0.308530 | + | 0.951215i | \(0.599837\pi\) |
−0.951215 | + | 0.308530i | \(0.900163\pi\) | |||||||
\(504\) | 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 | ||||
\(507\) | 18.9340 | + | 11.7764i | 0.840888 | + | 0.523007i | ||||
\(508\) | −2.84512 | + | 10.6181i | −0.126232 | + | 0.471104i | ||||
\(509\) | 12.3062 | 0.545463 | 0.272732 | − | 0.962090i | \(-0.412073\pi\) | ||||
0.272732 | + | 0.962090i | \(0.412073\pi\) | |||||||
\(510\) | −4.09718 | − | 4.70806i | −0.181426 | − | 0.208476i | ||||
\(511\) | 14.2596 | + | 20.1913i | 0.630806 | + | 0.893208i | ||||
\(512\) | −4.53849 | + | 4.53849i | −0.200575 | + | 0.200575i | ||||
\(513\) | −9.73114 | − | 21.4931i | −0.429640 | − | 0.948946i | ||||
\(514\) | 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 | ||||
\(517\) | 14.9017 | − | 3.99289i | 0.655375 | − | 0.175607i | ||||
\(518\) | 6.13461 | + | 16.6458i | 0.269539 | + | 0.731376i | ||||
\(519\) | −29.0360 | + | 27.1901i | −1.27454 | + | 1.19351i | ||||
\(520\) | 1.45520 | + | 1.56534i | 0.0638147 | + | 0.0686447i | ||||
\(521\) | −30.8984 | − | 17.8392i | −1.35368 | − | 0.781550i | −0.364920 | − | 0.931039i | \(-0.618904\pi\) |
−0.988763 | + | 0.149489i | \(0.952237\pi\) | |||||||
\(522\) | 6.13716 | − | 1.21956i | 0.268616 | − | 0.0533788i | ||||
\(523\) | −12.7230 | − | 3.40911i | −0.556336 | − | 0.149070i | −0.0303136 | − | 0.999540i | \(-0.509651\pi\) |
−0.526023 | + | 0.850471i | \(0.676317\pi\) | |||||||
\(524\) | 6.64262 | + | 11.5054i | 0.290184 | + | 0.502614i | ||||
\(525\) | −5.61053 | − | 22.2154i | −0.244863 | − | 0.969558i | ||||
\(526\) | −0.974751 | + | 1.68832i | −0.0425012 | + | 0.0736142i | ||||
\(527\) | −5.76482 | + | 5.76482i | −0.251120 | + | 0.251120i | ||||
\(528\) | 1.88136 | + | 0.0617657i | 0.0818757 | + | 0.00268800i | ||||
\(529\) | − | 21.1870i | − | 0.921172i | ||||||
\(530\) | −15.2676 | + | 3.50003i | −0.663182 | + | 0.152032i | ||||
\(531\) | 22.2119 | + | 1.46002i | 0.963914 | + | 0.0633595i | ||||
\(532\) | 16.1089 | + | 2.77360i | 0.698409 | + | 0.120251i | ||||
\(533\) | 0.0394193 | − | 0.147115i | 0.00170744 | − | 0.00637225i | ||||
\(534\) | 2.29407 | + | 0.696134i | 0.0992742 | + | 0.0301247i | ||||
\(535\) | −5.24955 | + | 8.37231i | −0.226958 | + | 0.361966i | ||||
\(536\) | 19.8289 | + | 34.3447i | 0.856478 | + | 1.48346i | ||||
\(537\) | −0.359539 | + | 10.9514i | −0.0155153 | + | 0.472590i | ||||
\(538\) | −4.44790 | − | 1.19181i | −0.191763 | − | 0.0513826i | ||||
\(539\) | 10.1061 | − | 8.61962i | 0.435298 | − | 0.371273i | ||||
\(540\) | −2.00079 | − | 15.6824i | −0.0861001 | − | 0.674862i | ||||
\(541\) | −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 | ||||
\(543\) | −29.7854 | + | 15.9171i | −1.27821 | + | 0.683066i | ||||
\(544\) | 11.7542 | 0.503957 | ||||||||
\(545\) | −9.78828 | + | 9.09956i | −0.419284 | + | 0.389782i | ||||
\(546\) | 1.27649 | + | 0.263179i | 0.0546288 | + | 0.0112630i | ||||
\(547\) | −27.2577 | − | 7.30369i | −1.16546 | − | 0.312283i | −0.376314 | − | 0.926492i | \(-0.622808\pi\) |
−0.789143 | + | 0.614209i | \(0.789475\pi\) | |||||||
\(548\) | 6.59988 | − | 24.6311i | 0.281933 | − | 1.05219i | ||||
\(549\) | 12.6291 | − | 6.22507i | 0.538999 | − | 0.265679i | ||||
\(550\) | −2.49191 | + | 7.16522i | −0.106255 | + | 0.305526i | ||||
\(551\) | 10.2573 | + | 5.92204i | 0.436975 | + | 0.252287i | ||||
\(552\) | 5.52721 | − | 2.95369i | 0.235254 | − | 0.125717i | ||||
\(553\) | 26.4281 | + | 4.55034i | 1.12384 | + | 0.193500i | ||||
\(554\) | 11.7828 | + | 6.80283i | 0.500605 | + | 0.289024i | ||||
\(555\) | 32.4004 | + | 2.24784i | 1.37532 | + | 0.0954156i | ||||
\(556\) | − | 3.26602i | − | 0.138510i | ||||||
\(557\) | 4.27411 | + | 15.9512i | 0.181100 | + | 0.675875i | 0.995432 | + | 0.0954749i | \(0.0304370\pi\) |
−0.814332 | + | 0.580400i | \(0.802896\pi\) | |||||||
\(558\) | 9.51739 | − | 1.89127i | 0.402903 | − | 0.0800640i | ||||
\(559\) | 2.98405 | 0.126212 | ||||||||
\(560\) | 3.02287 | + | 1.53078i | 0.127740 | + | 0.0646872i | ||||
\(561\) | −4.52753 | − | 4.83490i | −0.191152 | − | 0.204130i | ||||
\(562\) | −18.2518 | + | 18.2518i | −0.769907 | + | 0.769907i | ||||
\(563\) | 15.5035 | + | 4.15415i | 0.653394 | + | 0.175076i | 0.570263 | − | 0.821462i | \(-0.306841\pi\) |
0.0831312 | + | 0.996539i | \(0.473508\pi\) | |||||||
\(564\) | 18.3353 | + | 5.56382i | 0.772054 | + | 0.234279i | ||||
\(565\) | −1.54839 | + | 42.4639i | −0.0651412 | + | 1.78647i | ||||
\(566\) | 0.980241i | 0.0412026i | ||||||||
\(567\) | −16.1510 | − | 17.4970i | −0.678278 | − | 0.734805i | ||||
\(568\) | 6.12032 | + | 6.12032i | 0.256803 | + | 0.256803i | ||||
\(569\) | −0.476743 | − | 0.275248i | −0.0199861 | − | 0.0115390i | 0.489974 | − | 0.871737i | \(-0.337006\pi\) |
−0.509960 | + | 0.860198i | \(0.670340\pi\) | |||||||
\(570\) | −7.85649 | + | 11.6615i | −0.329072 | + | 0.488446i | ||||
\(571\) | −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 | ||||
\(573\) | −38.5572 | − | 1.26585i | −1.61075 | − | 0.0528815i | ||||
\(574\) | 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 | ||||
\(577\) | 12.8283 | − | 3.43734i | 0.534050 | − | 0.143098i | 0.0182920 | − | 0.999833i | \(-0.494177\pi\) |
0.515758 | + | 0.856735i | \(0.327510\pi\) | |||||||
\(578\) | 7.31515 | + | 7.31515i | 0.304270 | + | 0.304270i | ||||
\(579\) | −15.9739 | + | 3.72300i | −0.663851 | + | 0.154723i | ||||
\(580\) | 5.40372 | + | 5.81271i | 0.224377 | + | 0.241360i | ||||
\(581\) | −45.8830 | + | 4.20047i | −1.90355 | + | 0.174265i | ||||
\(582\) | 4.28233 | + | 8.01347i | 0.177508 | + | 0.332169i | ||||
\(583\) | −16.0574 | + | 4.30257i | −0.665030 | + | 0.178194i | ||||
\(584\) | 12.5528 | − | 21.7420i | 0.519437 | − | 0.899690i | ||||
\(585\) | 1.39743 | − | 1.93409i | 0.0577764 | − | 0.0799647i | ||||
\(586\) | 4.05598 | − | 2.34172i | 0.167551 | − | 0.0967356i | ||||
\(587\) | −1.57685 | + | 5.88487i | −0.0650834 | + | 0.242895i | −0.990802 | − | 0.135318i | \(-0.956794\pi\) |
0.925719 | + | 0.378212i | \(0.123461\pi\) | |||||||
\(588\) | 16.3125 | − | 2.46152i | 0.672717 | − | 0.101511i | ||||
\(589\) | 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 | ||||
\(593\) | −0.733049 | − | 0.196420i | −0.0301027 | − | 0.00806599i | 0.243736 | − | 0.969842i | \(-0.421627\pi\) |
−0.273839 | + | 0.961776i | \(0.588294\pi\) | |||||||
\(594\) | 1.28205 | + | 7.77884i | 0.0526030 | + | 0.319170i | ||||
\(595\) | −3.71264 | − | 11.3304i | −0.152204 | − | 0.464503i | ||||
\(596\) | 2.82253 | + | 4.88877i | 0.115615 | + | 0.200252i | ||||
\(597\) | −0.804177 | − | 0.0264014i | −0.0329128 | − | 0.00108054i | ||||
\(598\) | 0.369910 | + | 0.0991170i | 0.0151267 | + | 0.00405320i | ||||
\(599\) | −28.4089 | + | 16.4019i | −1.16076 | + | 0.670163i | −0.951485 | − | 0.307695i | \(-0.900442\pi\) |
−0.209271 | + | 0.977858i | \(0.567109\pi\) | |||||||
\(600\) | −18.0997 | + | 14.6271i | −0.738918 | + | 0.597149i | ||||
\(601\) | 15.5085 | − | 8.95386i | 0.632607 | − | 0.365236i | −0.149154 | − | 0.988814i | \(-0.547655\pi\) |
0.781761 | + | 0.623578i | \(0.214322\pi\) | |||||||
\(602\) | −16.6526 | + | 6.13709i | −0.678708 | + | 0.250129i | ||||
\(603\) | 33.2933 | − | 29.1864i | 1.35581 | − | 1.18856i | ||||
\(604\) | 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 | \(-0.0245389\pi\) |
−0.0770149 | + | 0.997030i | \(0.524539\pi\) | |||||||
\(608\) | −6.85393 | − | 25.5792i | −0.277964 | − | 1.03737i | ||||
\(609\) | 11.7074 | + | 2.41377i | 0.474410 | + | 0.0978109i | ||||
\(610\) | −7.10940 | − | 4.45769i | −0.287851 | − | 0.180487i | ||||
\(611\) | 1.44596 | + | 2.50448i | 0.0584973 | + | 0.101320i | ||||
\(612\) | −1.60346 | − | 8.06903i | −0.0648160 | − | 0.326171i | ||||
\(613\) | −1.79129 | + | 0.479975i | −0.0723495 | + | 0.0193860i | −0.294812 | − | 0.955555i | \(-0.595257\pi\) |
0.222463 | + | 0.974941i | \(0.428590\pi\) | |||||||
\(614\) | 2.13562 | − | 3.69900i | 0.0861865 | − | 0.149279i | ||||
\(615\) | 1.56829 | + | 0.539046i | 0.0632396 | + | 0.0217364i | ||||
\(616\) | −12.2494 | − | 5.65204i | −0.493541 | − | 0.227727i | ||||
\(617\) | −6.06122 | − | 22.6208i | −0.244016 | − | 0.910679i | −0.973876 | − | 0.227082i | \(-0.927081\pi\) |
0.729860 | − | 0.683597i | \(-0.239585\pi\) | |||||||
\(618\) | −0.721196 | + | 21.9674i | −0.0290108 | + | 0.883657i | ||||
\(619\) | −27.2421 | −1.09495 | −0.547476 | − | 0.836821i | \(-0.684411\pi\) | ||||
−0.547476 | + | 0.836821i | \(0.684411\pi\) | |||||||
\(620\) | 8.37998 | + | 9.01423i | 0.336548 | + | 0.362020i | ||||
\(621\) | −4.43707 | − | 5.40968i | −0.178053 | − | 0.217083i | ||||
\(622\) | 11.8524 | + | 11.8524i | 0.475240 | + | 0.475240i | ||||
\(623\) | 3.52025 | + | 2.92977i | 0.141036 | + | 0.117379i | ||||
\(624\) | 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 | ||||
\(627\) | −7.88158 | + | 12.6720i | −0.314760 | + | 0.506070i | ||||
\(628\) | −7.34905 | − | 27.4270i | −0.293259 | − | 1.09446i | ||||
\(629\) | 16.9007 | 0.673877 | ||||||||
\(630\) | −3.82067 | + | 13.6672i | −0.152219 | + | 0.544515i | ||||
\(631\) | 22.8338 | 0.908998 | 0.454499 | − | 0.890747i | \(-0.349818\pi\) | ||||
0.454499 | + | 0.890747i | \(0.349818\pi\) | |||||||
\(632\) | −7.04931 | − | 26.3084i | −0.280406 | − | 1.04649i | ||||
\(633\) | −38.3054 | − | 1.25758i | −1.52250 | − | 0.0499843i | ||||
\(634\) | 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 | ||||
\(637\) | 2.05104 | + | 1.41168i | 0.0812651 | + | 0.0559326i | ||||
\(638\) | −2.79853 | − | 2.79853i | −0.110795 | − | 0.110795i | ||||
\(639\) | 5.37009 | − | 8.03365i | 0.212437 | − | 0.317806i | ||||
\(640\) | 0.721238 | − | 19.7797i | 0.0285094 | − | 0.781859i | ||||
\(641\) | −18.4180 | −0.727466 | −0.363733 | − | 0.931503i | \(-0.618498\pi\) | ||||
−0.363733 | + | 0.931503i | \(0.618498\pi\) | |||||||
\(642\) | 5.39803 | − | 2.88466i | 0.213043 | − | 0.113848i | ||||
\(643\) | −12.2575 | − | 45.7457i | −0.483389 | − | 1.80403i | −0.587208 | − | 0.809436i | \(-0.699773\pi\) |
0.103819 | − | 0.994596i | \(-0.466894\pi\) | |||||||
\(644\) | 4.82717 | − | 0.441915i | 0.190217 | − | 0.0174139i | ||||
\(645\) | −2.24875 | + | 32.4135i | −0.0885445 | + | 1.27628i | ||||
\(646\) | −3.65849 | + | 6.33670i | −0.143942 | + | 0.249314i | ||||
\(647\) | −2.36279 | + | 0.633107i | −0.0928907 | + | 0.0248900i | −0.304965 | − | 0.952364i | \(-0.598645\pi\) |
0.212074 | + | 0.977254i | \(0.431978\pi\) | |||||||
\(648\) | −9.26326 | + | 22.3398i | −0.363895 | + | 0.877592i | ||||
\(649\) | −7.03977 | − | 12.1932i | −0.276335 | − | 0.478627i | ||||
\(650\) | −1.41828 | − | 0.103569i | −0.0556296 | − | 0.00406232i | ||||
\(651\) | 18.1557 | + | 3.74322i | 0.711577 | + | 0.146709i | ||||
\(652\) | −4.53919 | − | 16.9405i | −0.177768 | − | 0.663441i | ||||
\(653\) | 16.5927 | + | 16.5927i | 0.649322 | + | 0.649322i | 0.952829 | − | 0.303507i | \(-0.0981575\pi\) |
−0.303507 | + | 0.952829i | \(0.598158\pi\) | |||||||
\(654\) | 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 | ||||
\(657\) | −26.5394 | − | 9.01445i | −1.03540 | − | 0.351687i | ||||
\(658\) | −13.2200 | − | 11.0025i | −0.515370 | − | 0.428922i | ||||
\(659\) | −17.3437 | + | 10.0134i | −0.675615 | + | 0.390067i | −0.798201 | − | 0.602391i | \(-0.794215\pi\) |
0.122586 | + | 0.992458i | \(0.460881\pi\) | |||||||
\(660\) | −7.54325 | + | 6.56449i | −0.293620 | + | 0.255523i | ||||
\(661\) | −0.625471 | + | 0.361116i | −0.0243280 | + | 0.0140458i | −0.512115 | − | 0.858917i | \(-0.671138\pi\) |
0.487787 | + | 0.872963i | \(0.337804\pi\) | |||||||
\(662\) | −5.07217 | − | 1.35908i | −0.197135 | − | 0.0528223i | ||||
\(663\) | 0.655779 | − | 1.05436i | 0.0254684 | − | 0.0409479i | ||||
\(664\) | 23.3978 | + | 40.5261i | 0.908010 | + | 1.57272i | ||||
\(665\) | −22.4922 | + | 14.6862i | −0.872210 | + | 0.569507i | ||||
\(666\) | −16.7234 | − | 11.1787i | −0.648019 | − | 0.433168i | ||||
\(667\) | 3.39266 | + | 0.909061i | 0.131364 | + | 0.0351990i | ||||
\(668\) | 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 | ||||
\(672\) | −14.6931 | − | 22.3254i | −0.566800 | − | 0.861221i | ||||
\(673\) | 7.09161 | − | 26.4663i | 0.273362 | − | 1.02020i | −0.683570 | − | 0.729885i | \(-0.739574\pi\) |
0.956931 | − | 0.290314i | \(-0.0937598\pi\) | |||||||
\(674\) | −9.77926 | + | 5.64606i | −0.376683 | + | 0.217478i | ||||
\(675\) | 19.9555 | + | 16.6367i | 0.768086 | + | 0.640347i | ||||
\(676\) | 8.75824 | − | 15.1697i | 0.336856 | − | 0.583451i | ||||
\(677\) | −30.6314 | + | 8.20765i | −1.17726 | + | 0.315446i | −0.793839 | − | 0.608128i | \(-0.791921\pi\) |
−0.383421 | + | 0.923574i | \(0.625254\pi\) | |||||||
\(678\) | 13.8996 | − | 22.3478i | 0.533812 | − | 0.858260i | ||||
\(679\) | 1.58244 | + | 17.2855i | 0.0607285 | + | 0.663355i | ||||
\(680\) | −8.86918 | + | 8.24513i | −0.340118 | + | 0.316186i | ||||
\(681\) | 1.15128 | − | 3.79399i | 0.0441172 | − | 0.145386i | ||||
\(682\) | −4.33990 | − | 4.33990i | −0.166183 | − | 0.166183i | ||||
\(683\) | 21.8149 | − | 5.84528i | 0.834724 | − | 0.223663i | 0.183950 | − | 0.982936i | \(-0.441111\pi\) |
0.650773 | + | 0.759272i | \(0.274445\pi\) | |||||||
\(684\) | −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 | ||||
\(687\) | 0.107540 | + | 0.201238i | 0.00410290 | + | 0.00767771i | ||||
\(688\) | −3.39754 | − | 3.39754i | −0.129530 | − | 0.129530i | ||||
\(689\) | −1.55811 | − | 2.69872i | −0.0593591 | − | 0.102813i | ||||
\(690\) | −1.35539 | + | 3.94336i | −0.0515990 | + | 0.150121i | ||||
\(691\) | −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 | ||||
\(693\) | −3.52363 | + | 14.6432i | −0.133852 | + | 0.556248i | ||||
\(694\) | − | 21.9114i | − | 0.831744i | ||||||
\(695\) | 3.65441 | + | 3.93100i | 0.138620 | + | 0.149112i | ||||
\(696\) | −2.75575 | − | 11.8238i | −0.104456 | − | 0.448179i | ||||
\(697\) | 0.833550 | + | 0.223349i | 0.0315729 | + | 0.00845994i | ||||
\(698\) | 6.05437 | − | 6.05437i | 0.229161 | − | 0.229161i | ||||
\(699\) | −12.7754 | + | 2.97754i | −0.483210 | + | 0.112621i | ||||
\(700\) | −17.2979 | + | 4.97779i | −0.653800 | + | 0.188143i | ||||
\(701\) | 28.2460 | 1.06684 | 0.533419 | − | 0.845851i | \(-0.320907\pi\) | ||||
0.533419 | + | 0.845851i | \(0.320907\pi\) | |||||||
\(702\) | −1.34629 | + | 0.609540i | −0.0508124 | + | 0.0230056i | ||||
\(703\) | −9.85491 | − | 36.7790i | −0.371685 | − | 1.38715i | ||||
\(704\) | 6.67527i | 0.251584i | ||||||||
\(705\) | −28.2939 | + | 13.8190i | −1.06561 | + | 0.520455i | ||||
\(706\) | −12.6440 | − | 7.30002i | −0.475864 | − | 0.274740i | ||||
\(707\) | −15.6749 | − | 42.5327i | −0.589514 | − | 1.59961i | ||||
\(708\) | 0.573791 | − | 17.4775i | 0.0215644 | − | 0.656843i | ||||
\(709\) | −16.6092 | − | 9.58931i | −0.623770 | − | 0.360134i | 0.154565 | − | 0.987983i | \(-0.450602\pi\) |
−0.778335 | + | 0.627849i | \(0.783936\pi\) | |||||||
\(710\) | −5.75520 | − | 0.209856i | −0.215989 | − | 0.00787574i | ||||
\(711\) | −27.2743 | + | 13.4438i | −1.02286 | + | 0.504183i | ||||
\(712\) | 1.20391 | − | 4.49307i | 0.0451186 | − | 0.168385i | ||||
\(713\) | 5.26127 | + | 1.40975i | 0.197036 | + | 0.0527956i | ||||
\(714\) | −1.49117 | + | 7.23257i | −0.0558056 | + | 0.270672i | ||||
\(715\) | −1.50823 | − | 0.0549956i | −0.0564047 | − | 0.00205672i | ||||
\(716\) | 8.60787 | 0.321691 | ||||||||
\(717\) | −0.513395 | + | 15.6378i | −0.0191731 | + | 0.584006i | ||||
\(718\) | −3.99564 | − | 3.99564i | −0.149116 | − | 0.149116i | ||||
\(719\) | 13.9884 | + | 24.2287i | 0.521681 | + | 0.903578i | 0.999682 | + | 0.0252186i | \(0.00802817\pi\) |
−0.478001 | + | 0.878359i | \(0.658638\pi\) | |||||||
\(720\) | −3.79315 | + | 0.611027i | −0.141362 | + | 0.0227716i | ||||
\(721\) | −17.5920 | + | 38.1262i | −0.655159 | + | 1.41989i | ||||
\(722\) | 1.24863 | + | 0.334568i | 0.0464691 | + | 0.0124513i | ||||
\(723\) | −24.5639 | + | 13.1267i | −0.913540 | + | 0.488187i | ||||
\(724\) | 13.2652 | + | 22.9759i | 0.492996 | + | 0.853894i | ||||
\(725\) | −13.0079 | − | 0.949894i | −0.483101 | − | 0.0352782i | ||||
\(726\) | −7.47998 | + | 7.00445i | −0.277608 | + | 0.259960i | ||||
\(727\) | 13.0856 | − | 48.8362i | 0.485319 | − | 1.81123i | −0.0933035 | − | 0.995638i | \(-0.529743\pi\) |
0.578622 | − | 0.815596i | \(-0.303591\pi\) | |||||||
\(728\) | 0.429098 | − | 2.49217i | 0.0159034 | − | 0.0923660i | ||||
\(729\) | 26.4782 | + | 5.28231i | 0.980676 | + | 0.195641i | ||||
\(730\) | 3.73257 | + | 16.2820i | 0.138149 | + | 0.602622i | ||||
\(731\) | 16.9076i | 0.625349i | ||||||||
\(732\) | −5.21320 | − | 9.75540i | −0.192685 | − | 0.360570i | ||||
\(733\) | −8.77240 | + | 8.77240i | −0.324016 | + | 0.324016i | −0.850305 | − | 0.526289i | \(-0.823583\pi\) |
0.526289 | + | 0.850305i | \(0.323583\pi\) | |||||||
\(734\) | 8.73994 | − | 15.1380i | 0.322597 | − | 0.558755i | ||||
\(735\) | −16.8796 | + | 21.2151i | −0.622614 | + | 0.782529i | ||||
\(736\) | −3.92653 | − | 6.80094i | −0.144734 | − | 0.250686i | ||||
\(737\) | −27.0502 | − | 7.24809i | −0.996409 | − | 0.266987i | ||||
\(738\) | −0.677072 | − | 0.772345i | −0.0249234 | − | 0.0284304i | ||||
\(739\) | 6.03461 | + | 3.48408i | 0.221987 | + | 0.128164i | 0.606870 | − | 0.794801i | \(-0.292425\pi\) |
−0.384883 | + | 0.922965i | \(0.625758\pi\) | |||||||
\(740\) | 0.929726 | − | 25.4973i | 0.0341774 | − | 0.937300i | ||||
\(741\) | −2.67686 | − | 0.812291i | −0.0983370 | − | 0.0298402i | ||||
\(742\) | 14.2453 | + | 11.8558i | 0.522962 | + | 0.435241i | ||||
\(743\) | −2.66574 | + | 0.714284i | −0.0977966 | + | 0.0262045i | −0.307385 | − | 0.951585i | \(-0.599454\pi\) |
0.209589 | + | 0.977790i | \(0.432787\pi\) | |||||||
\(744\) | −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 | ||||
\(747\) | 39.2856 | − | 34.4395i | 1.43738 | − | 1.26008i | ||||
\(748\) | −3.67945 | + | 3.67945i | −0.134534 | + | 0.134534i | ||||
\(749\) | 11.6438 | − | 1.06596i | 0.425456 | − | 0.0389494i | ||||
\(750\) | 2.19380 | − | 15.3277i | 0.0801062 | − | 0.559688i | ||||
\(751\) | 1.61214 | 0.0588277 | 0.0294138 | − | 0.999567i | \(-0.490636\pi\) | ||||
0.0294138 | + | 0.999567i | \(0.490636\pi\) | |||||||
\(752\) | 1.20519 | − | 4.49784i | 0.0439488 | − | 0.164019i | ||||
\(753\) | 17.1959 | − | 9.18935i | 0.626655 | − | 0.334878i | ||||
\(754\) | 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 | −0.973242 | − | 0.229784i | \(-0.926198\pi\) |
0.229784 | + | 0.973242i | \(0.426198\pi\) | |||||||
\(758\) | −11.1652 | + | 2.99170i | −0.405537 | + | 0.108663i | ||||
\(759\) | −1.28502 | + | 4.23473i | −0.0466434 | + | 0.153711i | ||||
\(760\) | 23.1146 | + | 14.4931i | 0.838453 | + | 0.525722i | ||||
\(761\) | 9.49362i | 0.344143i | 0.985084 | + | 0.172072i | \(0.0550461\pi\) | ||||
−0.985084 | + | 0.172072i | \(0.944954\pi\) | |||||||
\(762\) | −0.367130 | + | 11.1826i | −0.0132997 | + | 0.405104i | ||||
\(763\) | 15.5839 | + | 2.68321i | 0.564175 | + | 0.0971386i | ||||
\(764\) | 30.3061i | 1.09644i | ||||||||
\(765\) | 10.9585 | + | 7.91779i | 0.396206 | + | 0.286268i | ||||
\(766\) | 6.65620 | + | 3.84296i | 0.240498 | + | 0.138852i | ||||
\(767\) | 1.86625 | − | 1.86625i | 0.0673862 | − | 0.0673862i | ||||
\(768\) | −12.9106 | + | 20.7576i | −0.465871 | + | 0.749025i | ||||
\(769\) | 17.6473 | − | 30.5659i | 0.636376 | − | 1.10224i | −0.349846 | − | 0.936807i | \(-0.613766\pi\) |
0.986222 | − | 0.165429i | \(-0.0529007\pi\) | |||||||
\(770\) | 8.52984 | − | 2.79497i | 0.307394 | − | 0.100724i | ||||
\(771\) | −2.84585 | + | 9.37836i | −0.102491 | + | 0.337753i | ||||
\(772\) | 3.33490 | + | 12.4460i | 0.120026 | + | 0.447942i | ||||
\(773\) | 10.7202 | + | 40.0084i | 0.385579 | + | 1.43900i | 0.837252 | + | 0.546817i | \(0.184161\pi\) |
−0.451673 | + | 0.892184i | \(0.649173\pi\) | |||||||
\(774\) | 11.1833 | − | 16.7302i | 0.401974 | − | 0.601353i | ||||
\(775\) | −20.1724 | − | 1.47308i | −0.724613 | − | 0.0529145i | ||||
\(776\) | 15.2674 | − | 8.81462i | 0.548067 | − | 0.316427i | ||||
\(777\) | −21.1265 | − | 32.1005i | −0.757909 | − | 1.15160i | ||||
\(778\) | −3.43623 | + | 0.920735i | −0.123195 | + | 0.0330099i | ||||
\(779\) | − | 1.94419i | − | 0.0696578i | ||||||
\(780\) | −1.55459 | − | 1.04734i | −0.0556631 | − | 0.0375009i | ||||
\(781\) | −6.11206 | −0.218707 | ||||||||
\(782\) | −0.561595 | + | 2.09590i | −0.0200826 | + | 0.0749493i | ||||
\(783\) | −12.3476 | + | 5.59045i | −0.441267 | + | 0.199786i | ||||
\(784\) | −0.727958 | − | 3.94253i | −0.0259985 | − | 0.140805i | ||||
\(785\) | 39.5339 | + | 24.7883i | 1.41103 | + | 0.884734i | ||||
\(786\) | 9.24266 | + | 9.87014i | 0.329675 | + | 0.352056i | ||||
\(787\) | 6.36966 | − | 23.7719i | 0.227054 | − | 0.847377i | −0.754517 | − | 0.656280i | \(-0.772129\pi\) |
0.981571 | − | 0.191097i | \(-0.0612044\pi\) | |||||||
\(788\) | 1.73523 | − | 6.47595i | 0.0618149 | − | 0.230696i | ||||
\(789\) | 1.22625 | − | 4.04104i | 0.0436556 | − | 0.143865i | ||||
\(790\) | 15.3537 | + | 9.62696i | 0.546258 | + | 0.342512i | ||||
\(791\) | 41.0683 | − | 29.0035i | 1.46022 | − | 1.03125i | ||||
\(792\) | 15.0034 | − | 2.98144i | 0.533122 | − | 0.105941i | ||||
\(793\) | 0.432077 | − | 1.61253i | 0.0153435 | − | 0.0572628i | ||||
\(794\) | −5.52482 | −0.196069 | ||||||||
\(795\) | 30.4883 | − | 14.8908i | 1.08131 | − | 0.528122i | ||||
\(796\) | 0.632086i | 0.0224037i | ||||||||
\(797\) | −23.2497 | + | 6.22974i | −0.823547 | + | 0.220669i | −0.645897 | − | 0.763425i | \(-0.723516\pi\) |
−0.177651 | + | 0.984094i | \(0.556850\pi\) | |||||||
\(798\) | 16.6089 | − | 0.972304i | 0.587948 | − | 0.0344192i | ||||
\(799\) | −14.1903 | + | 8.19279i | −0.502018 | + | 0.289840i | ||||
\(800\) | 19.0635 | + | 22.0670i | 0.673996 | + | 0.780187i | ||||
\(801\) | −5.18197 | − | 0.340619i | −0.183096 | − | 0.0120352i | ||||
\(802\) | −5.69433 | − | 21.2515i | −0.201074 | − | 0.750418i | ||||
\(803\) | 4.58843 | + | 17.1242i | 0.161922 | + | 0.604302i | ||||
\(804\) | −23.7741 | − | 25.3881i | −0.838449 | − | 0.895371i | ||||
\(805\) | −5.31554 | + | 5.93310i | −0.187348 | + | 0.209114i | ||||
\(806\) | 0.575254 | − | 0.996369i | 0.0202625 | − | 0.0350956i | ||||
\(807\) | 9.96951 | + | 0.327302i | 0.350943 | + | 0.0115216i | ||||
\(808\) | −32.5539 | + | 32.5539i | −1.14524 | + | 1.14524i | ||||
\(809\) | −4.30673 | − | 2.48649i | −0.151417 | − | 0.0874204i | 0.422377 | − | 0.906420i | \(-0.361196\pi\) |
−0.573794 | + | 0.819000i | \(0.694529\pi\) | |||||||
\(810\) | −5.60642 | − | 15.0831i | −0.196990 | − | 0.529965i | ||||
\(811\) | − | 36.7094i | − | 1.28904i | −0.764586 | − | 0.644521i | \(-0.777057\pi\) | ||
0.764586 | − | 0.644521i | \(-0.222943\pi\) | |||||||
\(812\) | 1.59341 | − | 9.25441i | 0.0559176 | − | 0.324766i | ||||
\(813\) | −38.0036 | − | 23.6371i | −1.33284 | − | 0.828988i | ||||
\(814\) | 12.7233i | 0.445951i | ||||||||
\(815\) | 24.4184 | + | 15.3107i | 0.855340 | + | 0.536310i | ||||
\(816\) | −1.94711 | + | 0.453809i | −0.0681623 | + | 0.0158865i | ||||
\(817\) | 36.7939 | − | 9.85889i | 1.28726 | − | 0.344919i | ||||
\(818\) | 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 | \(-0.170381\pi\) | |||||||
\(822\) | 0.851638 | − | 25.9406i | 0.0297043 | − | 0.904782i | ||||
\(823\) | −7.55789 | + | 28.2064i | −0.263452 | + | 0.983215i | 0.699740 | + | 0.714398i | \(0.253299\pi\) |
−0.963191 | + | 0.268817i | \(0.913367\pi\) | |||||||
\(824\) | 42.6458 | 1.48564 | ||||||||
\(825\) | 1.73397 | − | 16.3413i | 0.0603689 | − | 0.568932i | ||||
\(826\) | −6.57646 | + | 14.2528i | −0.228824 | + | 0.495919i | ||||
\(827\) | −9.28844 | + | 9.28844i | −0.322991 | + | 0.322991i | −0.849913 | − | 0.526923i | \(-0.823346\pi\) |
0.526923 | + | 0.849913i | \(0.323346\pi\) | |||||||
\(828\) | −4.13308 | + | 3.62324i | −0.143634 | + | 0.125916i | ||||
\(829\) | −19.5190 | + | 33.8079i | −0.677923 | + | 1.17420i | 0.297683 | + | 0.954665i | \(0.403786\pi\) |
−0.975605 | + | 0.219532i | \(0.929547\pi\) | |||||||
\(830\) | −29.7615 | − | 9.14919i | −1.03304 | − | 0.317573i | ||||
\(831\) | −28.2025 | − | 8.55803i | −0.978335 | − | 0.296875i | ||||
\(832\) | −1.20867 | + | 0.323862i | −0.0419031 | + | 0.0112279i | ||||
\(833\) | −7.99853 | + | 11.6212i | −0.277133 | + | 0.402649i | ||||
\(834\) | −0.754554 | − | 3.23748i | −0.0261281 | − | 0.112105i | ||||
\(835\) | −0.718381 | + | 19.7013i | −0.0248606 | + | 0.681792i | ||||
\(836\) | 10.1527 | + | 5.86164i | 0.351137 | + | 0.202729i | ||||
\(837\) | −19.1484 | + | 8.66955i | −0.661866 | + | 0.299663i | ||||
\(838\) | 18.7619 | + | 5.02725i | 0.648121 | + | 0.173663i | ||||
\(839\) | 3.93769 | + | 6.82027i | 0.135944 | + | 0.235462i | 0.925958 | − | 0.377627i | \(-0.123260\pi\) |
−0.790014 | + | 0.613089i | \(0.789927\pi\) | |||||||
\(840\) | 26.7472 | + | 6.53904i | 0.922867 | + | 0.225618i | ||||
\(841\) | −11.0978 | + | 19.2220i | −0.382684 | + | 0.662829i | ||||
\(842\) | −2.82270 | + | 2.82270i | −0.0972768 | + | 0.0972768i | ||||
\(843\) | 29.5306 | − | 47.4792i | 1.01709 | − | 1.63527i | ||||
\(844\) | 30.1082i | 1.03637i | ||||||||
\(845\) | 6.43221 | + | 28.0581i | 0.221275 | + | 0.965229i | ||||
\(846\) | 19.4604 | + | 1.27916i | 0.669063 | + | 0.0439786i | ||||
\(847\) | −18.3692 | + | 6.76973i | −0.631173 | + | 0.232611i | ||||
\(848\) | −1.29866 | + | 4.84668i | −0.0445963 | + | 0.166436i | ||||
\(849\) | −0.481977 | − | 2.06796i | −0.0165414 | − | 0.0709723i | ||||
\(850\) | 0.586821 | − | 8.03597i | 0.0201278 | − | 0.275631i | ||||
\(851\) | −5.64575 | − | 9.77872i | −0.193534 | − | 0.335210i | ||||
\(852\) | −6.44610 | − | 4.00928i | −0.220840 | − | 0.137356i | ||||
\(853\) | 35.2624 | + | 9.44853i | 1.20736 | + | 0.323512i | 0.805726 | − | 0.592288i | \(-0.201775\pi\) |
0.401635 | + | 0.915800i | \(0.368442\pi\) | |||||||
\(854\) | 0.905168 | + | 9.88742i | 0.0309742 | + | 0.338340i | ||||
\(855\) | 10.8406 | − | 28.4646i | 0.370739 | − | 0.973468i | ||||
\(856\) | −5.93770 | − | 10.2844i | −0.202946 | − | 0.351513i | ||||
\(857\) | 22.3925 | + | 22.3925i | 0.764914 | + | 0.764914i | 0.977206 | − | 0.212292i | \(-0.0680927\pi\) |
−0.212292 | + | 0.977206i | \(0.568093\pi\) | |||||||
\(858\) | 0.793747 | + | 0.493687i | 0.0270981 | + | 0.0168542i | ||||
\(859\) | −58.2018 | −1.98582 | −0.992910 | − | 0.118871i | \(-0.962073\pi\) | ||||
−0.992910 | + | 0.118871i | \(0.962073\pi\) | |||||||
\(860\) | 25.5076 | + | 0.930102i | 0.869803 | + | 0.0317162i | ||||
\(861\) | −0.617746 | − | 1.86240i | −0.0210527 | − | 0.0634704i | ||||
\(862\) | 4.19769 | + | 1.12477i | 0.142974 | + | 0.0383098i | ||||
\(863\) | −0.909305 | + | 3.39357i | −0.0309531 | + | 0.115519i | −0.979674 | − | 0.200597i | \(-0.935712\pi\) |
0.948721 | + | 0.316115i | \(0.102379\pi\) | |||||||
\(864\) | 28.3597 | + | 10.6829i | 0.964818 | + | 0.363441i | ||||
\(865\) | −51.3207 | − | 1.87134i | −1.74496 | − | 0.0636275i | ||||
\(866\) | 12.4354 | + | 7.17960i | 0.422573 | + | 0.243973i | ||||
\(867\) | −19.0292 | − | 11.8356i | −0.646266 | − | 0.401958i | ||||
\(868\) | 2.47102 | − | 14.3515i | 0.0838719 | − | 0.487123i | ||||
\(869\) | 16.6563 | + | 9.61655i | 0.565028 | + | 0.326219i | ||||
\(870\) | 6.69941 | + | 4.51348i | 0.227131 | + | 0.153021i | ||||
\(871\) | − | 5.24956i | − | 0.177874i | ||||||
\(872\) | −4.15678 | − | 15.5133i | −0.140766 | − | 0.525347i | ||||
\(873\) | −12.9744 | − | 14.8000i | −0.439116 | − | 0.500905i | ||||
\(874\) | 4.88853 | 0.165357 | ||||||||
\(875\) | 15.2501 | − | 25.3463i | 0.515549 | − | 0.856860i | ||||
\(876\) | −6.39366 | + | 21.0700i | −0.216022 | + | 0.711888i | ||||
\(877\) | 1.37958 | − | 1.37958i | 0.0465852 | − | 0.0465852i | −0.683430 | − | 0.730016i | \(-0.739513\pi\) |
0.730016 | + | 0.683430i | \(0.239513\pi\) | |||||||
\(878\) | −7.86155 | − | 2.10650i | −0.265314 | − | 0.0710908i | ||||
\(879\) | −7.40528 | + | 6.93450i | −0.249774 | + | 0.233895i | ||||
\(880\) | 1.65461 | + | 1.77984i | 0.0557768 | + | 0.0599983i | ||||
\(881\) | 1.32904i | 0.0447765i | 0.999749 | + | 0.0223883i | \(0.00712700\pi\) | ||||
−0.999749 | + | 0.0223883i | \(0.992873\pi\) | |||||||
\(882\) | 15.6012 | − | 6.20870i | 0.525321 | − | 0.209058i | ||||
\(883\) | 24.9117 | + | 24.9117i | 0.838347 | + | 0.838347i | 0.988641 | − | 0.150295i | \(-0.0480222\pi\) |
−0.150295 | + | 0.988641i | \(0.548022\pi\) | |||||||
\(884\) | −0.844742 | − | 0.487712i | −0.0284117 | − | 0.0164035i | ||||
\(885\) | 18.8652 | + | 21.6780i | 0.634148 | + | 0.728698i | ||||
\(886\) | 1.85694 | + | 3.21631i | 0.0623850 | + | 0.108054i | ||||
\(887\) | −20.3728 | − | 20.3728i | −0.684052 | − | 0.684052i | 0.276859 | − | 0.960911i | \(-0.410707\pi\) |
−0.960911 | + | 0.276859i | \(0.910707\pi\) | |||||||
\(888\) | −20.6135 | + | 33.1423i | −0.691745 | + | 1.11218i | ||||
\(889\) | −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 | ||||
\(892\) | 2.77633 | − | 0.743914i | 0.0929583 | − | 0.0249081i | ||||
\(893\) | 26.1034 | + | 26.1034i | 0.873518 | + | 0.873518i | ||||
\(894\) | 3.92732 | + | 4.19394i | 0.131349 | + | 0.140266i | ||||
\(895\) | −10.3605 | + | 9.63150i | −0.346313 | + | 0.321946i | ||||
\(896\) | −19.1296 | + | 13.5098i | −0.639075 | + | 0.451331i | ||||
\(897\) | −0.829115 | − | 0.0272201i | −0.0276833 | − | 0.000908853i | ||||
\(898\) | −27.8697 | + | 7.46766i | −0.930024 | + | 0.249199i | ||||
\(899\) | 5.27599 | − | 9.13829i | 0.175964 | − | 0.304779i | ||||
\(900\) | 12.5480 | − | 16.0970i | 0.418268 | − | 0.536567i | ||||
\(901\) | 15.2909 | − | 8.82820i | 0.509413 | − | 0.294110i | ||||
\(902\) | −0.168143 | + | 0.627517i | −0.00559854 | + | 0.0208940i | ||||
\(903\) | 32.1135 | − | 21.1350i | 1.06867 | − | 0.703330i | ||||
\(904\) | −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 | −0.186658 | − | 0.982425i | \(-0.559766\pi\) |
0.982425 | + | 0.186658i | \(0.0597657\pi\) | |||||||
\(908\) | −3.00855 | − | 0.806139i | −0.0998423 | − | 0.0267527i | ||||
\(909\) | 42.7309 | + | 28.5634i | 1.41729 | + | 0.947390i | ||||
\(910\) | 0.919916 | + | 1.40887i | 0.0304949 | + | 0.0467035i | ||||
\(911\) | 3.92417 | + | 6.79686i | 0.130013 | + | 0.225190i | 0.923681 | − | 0.383161i | \(-0.125165\pi\) |
−0.793668 | + | 0.608351i | \(0.791831\pi\) | |||||||
\(912\) | 2.12294 | + | 3.97263i | 0.0702975 | + | 0.131547i | ||||
\(913\) | −31.9188 | − | 8.55263i | −1.05636 | − | 0.283051i | ||||
\(914\) | −18.9193 | + | 10.9230i | −0.625793 | + | 0.361302i | ||||
\(915\) | 17.1901 | + | 5.90852i | 0.568288 | + | 0.195330i | ||||
\(916\) | 0.155232 | − | 0.0896229i | 0.00512899 | − | 0.00296123i | ||||
\(917\) | 8.93292 | + | 24.2389i | 0.294991 | + | 0.800438i | ||||
\(918\) | −3.45364 | − | 7.62805i | −0.113987 | − | 0.251763i | ||||
\(919\) | 45.5357 | − | 26.2901i | 1.50208 | − | 0.867229i | 0.502088 | − | 0.864817i | \(-0.332565\pi\) |
0.999997 | − | 0.00241227i | \(-0.000767849\pi\) | |||||||
\(920\) | 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 | ||||
\(923\) | −0.296537 | − | 1.10669i | −0.00976064 | − | 0.0364272i | ||||
\(924\) | 11.5880 | + | 2.38915i | 0.381218 | + | 0.0785972i | ||||
\(925\) | 27.4104 | + | 31.7290i | 0.901249 | + | 1.04324i | ||||
\(926\) | −9.93329 | − | 17.2050i | −0.326428 | − | 0.565390i | ||||
\(927\) | −9.27973 | − | 46.6980i | −0.304786 | − | 1.53376i | ||||
\(928\) | −14.6950 | + | 3.93752i | −0.482387 | + | 0.129255i | ||||
\(929\) | 19.4597 | − | 33.7052i | 0.638452 | − | 1.10583i | −0.347320 | − | 0.937747i | \(-0.612908\pi\) |
0.985772 | − | 0.168085i | \(-0.0537584\pi\) | |||||||
\(930\) | 10.3893 | + | 6.99941i | 0.340679 | + | 0.229520i | ||||
\(931\) | 29.9537 | + | 10.6299i | 0.981692 | + | 0.348380i | ||||
\(932\) | 2.66715 | + | 9.95394i | 0.0873654 | + | 0.326052i | ||||
\(933\) | −30.8323 | − | 19.1767i | −1.00940 | − | 0.627818i | ||||
\(934\) | −15.9357 | −0.521434 | ||||||||
\(935\) | 0.311604 | − | 8.54562i | 0.0101906 | − | 0.279472i | ||||
\(936\) | 1.26775 | + | 2.57196i | 0.0414378 | + | 0.0840673i | ||||
\(937\) | −20.1650 | − | 20.1650i | −0.658760 | − | 0.658760i | 0.296326 | − | 0.955087i | \(-0.404238\pi\) |
−0.955087 | + | 0.296326i | \(0.904238\pi\) | |||||||
\(938\) | 10.7964 | + | 29.2953i | 0.352515 | + | 0.956525i | ||||
\(939\) | −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 | \(0.295790\pi\) | |||||||
\(942\) | −13.6213 | − | 25.4894i | −0.443806 | − | 0.830490i | ||||
\(943\) | −0.149221 | − | 0.556900i | −0.00485930 | − | 0.0181352i | ||||
\(944\) | −4.24969 | −0.138316 | ||||||||
\(945\) | 1.34019 | − | 30.7116i | 0.0435963 | − | 0.999049i | ||||
\(946\) | −12.7284 | −0.413837 | ||||||||
\(947\) | 9.45984 | + | 35.3046i | 0.307403 | + | 1.14725i | 0.930857 | + | 0.365384i | \(0.119062\pi\) |
−0.623453 | + | 0.781861i | \(0.714271\pi\) | |||||||
\(948\) | 11.2586 | + | 21.0680i | 0.365661 | + | 0.684258i | ||||
\(949\) | −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 | ||||
\(952\) | 14.1206 | + | 2.43126i | 0.457651 | + | 0.0787976i | ||||
\(953\) | −22.4458 | − | 22.4458i | −0.727090 | − | 0.727090i | 0.242949 | − | 0.970039i | \(-0.421885\pi\) |
−0.970039 | + | 0.242949i | \(0.921885\pi\) | |||||||
\(954\) | −20.9697 | − | 1.37837i | −0.678920 | − | 0.0446264i | ||||
\(955\) | −33.9100 | − | 36.4766i | −1.09730 | − | 1.18035i | ||||
\(956\) | 12.2914 | 0.397532 | ||||||||
\(957\) | 7.27992 | + | 4.52789i | 0.235327 | + | 0.146366i | ||||
\(958\) | 2.82249 | + | 10.5337i | 0.0911906 | + | 0.340328i | ||||
\(959\) | 20.7738 | − | 45.0220i | 0.670821 | − | 1.45384i | ||||
\(960\) | −2.60703 | − | 13.3729i | −0.0841415 | − | 0.431609i | ||||
\(961\) | −7.31810 | + | 12.6753i | −0.236068 | + | 0.408881i | ||||
\(962\) | −2.30377 | + | 0.617292i | −0.0742764 | + | 0.0199023i | ||||
\(963\) | −9.96957 | + | 8.73978i | −0.321265 | + | 0.281635i | ||||
\(964\) | 10.9397 | + | 18.9481i | 0.352344 | + | 0.610278i | ||||
\(965\) | −17.9400 | − | 11.2486i | −0.577509 | − | 0.362106i | ||||
\(966\) | 4.68288 | − | 1.55328i | 0.150669 | − | 0.0499759i | ||||
\(967\) | 14.7290 | + | 54.9695i | 0.473654 | + | 1.76770i | 0.626470 | + | 0.779446i | \(0.284499\pi\) |
−0.152816 | + | 0.988255i | \(0.548834\pi\) | |||||||
\(968\) | 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 | \(0.233081\pi\) | |||||||
\(972\) | 3.46492 | − | 20.9257i | 0.111137 | − | 0.671194i | ||||
\(973\) | 1.07758 | − | 6.25854i | 0.0345458 | − | 0.200640i | ||||
\(974\) | −0.583358 | + | 0.336802i | −0.0186920 | + | 0.0107918i | ||||
\(975\) | 3.04300 | − | 0.478865i | 0.0974540 | − | 0.0153359i | ||||
\(976\) | −2.32793 | + | 1.34403i | −0.0745151 | + | 0.0430213i | ||||
\(977\) | 18.1977 | + | 4.87607i | 0.582198 | + | 0.155999i | 0.537885 | − | 0.843018i | \(-0.319224\pi\) |
0.0443127 | + | 0.999018i | \(0.485890\pi\) | |||||||
\(978\) | −8.41330 | − | 15.7437i | −0.269028 | − | 0.503429i | ||||
\(979\) | 1.64236 | + | 2.84465i | 0.0524900 | + | 0.0909153i | ||||
\(980\) | 17.0923 | + | 12.7063i | 0.545992 | + | 0.405887i | ||||
\(981\) | −16.0829 | + | 7.92744i | −0.513486 | + | 0.253104i | ||||
\(982\) | 19.0158 | + | 5.09528i | 0.606820 | + | 0.162597i | ||||
\(983\) | −28.0864 | + | 28.0864i | −0.895818 | + | 0.895818i | −0.995063 | − | 0.0992448i | \(-0.968357\pi\) |
0.0992448 | + | 0.995063i | \(0.468357\pi\) | |||||||
\(984\) | −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 | ||||
\(987\) | 33.2994 | + | 16.7112i | 1.05993 | + | 0.531924i | ||||
\(988\) | −0.568775 | + | 2.12270i | −0.0180951 | + | 0.0675319i | ||||
\(989\) | 9.78268 | − | 5.64803i | 0.311071 | − | 0.179597i | ||||
\(990\) | −5.96071 | + | 8.24984i | −0.189444 | + | 0.262197i | ||||
\(991\) | 23.0121 | − | 39.8581i | 0.731003 | − | 1.26613i | −0.225452 | − | 0.974254i | \(-0.572386\pi\) |
0.956455 | − | 0.291880i | \(-0.0942809\pi\) | |||||||
\(992\) | −22.7887 | + | 6.10622i | −0.723543 | + | 0.193873i | ||||
\(993\) | 11.3687 | + | 0.373240i | 0.360776 | + | 0.0118444i | ||||
\(994\) | 3.93089 | + | 5.56606i | 0.124680 | + | 0.176545i | ||||
\(995\) | −0.707253 | − | 0.760783i | −0.0224214 | − | 0.0241184i | ||||
\(996\) | −28.0531 | − | 29.9576i | −0.888896 | − | 0.949243i | ||||
\(997\) | 13.7662 | + | 13.7662i | 0.435981 | + | 0.435981i | 0.890657 | − | 0.454676i | \(-0.150245\pi\) |
−0.454676 | + | 0.890657i | \(0.650245\pi\) | |||||||
\(998\) | −5.70394 | + | 1.52837i | −0.180555 | + | 0.0483796i | ||||
\(999\) | 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.283.16 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.388.25 | 160 | |||
5.2 | odd | 4 | inner | 315.2.cg.e.157.25 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.103.16 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.73.25 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.178.16 | yes | 160 | ||
15.2 | even | 4 | 945.2.cj.e.577.16 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.523.25 | 160 | |||
35.12 | even | 12 | 315.2.bs.e.292.16 | yes | 160 | ||
45.2 | even | 12 | 945.2.bv.e.262.25 | 160 | |||
45.7 | odd | 12 | 315.2.bs.e.52.16 | ✓ | 160 | ||
63.47 | even | 6 | 945.2.cj.e.208.16 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.313.25 | yes | 160 | |
105.47 | odd | 12 | 945.2.bv.e.712.25 | 160 | |||
315.47 | odd | 12 | 945.2.cj.e.397.25 | 160 | |||
315.187 | even | 12 | inner | 315.2.cg.e.187.16 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.16 | ✓ | 160 | 45.7 | odd | 12 | ||
315.2.bs.e.103.16 | yes | 160 | 7.5 | odd | 6 | ||
315.2.bs.e.178.16 | yes | 160 | 9.7 | even | 3 | ||
315.2.bs.e.292.16 | yes | 160 | 35.12 | even | 12 | ||
315.2.cg.e.157.25 | yes | 160 | 5.2 | odd | 4 | inner | |
315.2.cg.e.187.16 | yes | 160 | 315.187 | even | 12 | inner | |
315.2.cg.e.283.16 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.313.25 | yes | 160 | 63.61 | odd | 6 | inner | |
945.2.bv.e.73.25 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.262.25 | 160 | 45.2 | even | 12 | |||
945.2.bv.e.523.25 | 160 | 21.5 | even | 6 | |||
945.2.bv.e.712.25 | 160 | 105.47 | odd | 12 | |||
945.2.cj.e.208.16 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.388.25 | 160 | 3.2 | odd | 2 | |||
945.2.cj.e.397.25 | 160 | 315.47 | odd | 12 | |||
945.2.cj.e.577.16 | 160 | 15.2 | even | 4 |