Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 31.24 | ||
Character | \(\chi\) | \(=\) | 225.31 |
Dual form | 225.2.q.a.196.24 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.53828 | − | 1.70844i | 1.08773 | − | 1.20805i | 0.110946 | − | 0.993826i | \(-0.464612\pi\) |
0.976785 | − | 0.214221i | \(-0.0687214\pi\) | |||||||
\(3\) | −0.365394 | − | 1.69307i | −0.210960 | − | 0.977495i | ||||
\(4\) | −0.343384 | − | 3.26708i | −0.171692 | − | 1.63354i | ||||
\(5\) | 0.322490 | + | 2.21269i | 0.144222 | + | 0.989545i | ||||
\(6\) | −3.45458 | − | 1.98017i | −1.41033 | − | 0.808401i | ||||
\(7\) | −1.62043 | − | 2.80667i | −0.612465 | − | 1.06082i | −0.990824 | − | 0.135161i | \(-0.956845\pi\) |
0.378359 | − | 0.925659i | \(-0.376489\pi\) | |||||||
\(8\) | −2.39008 | − | 1.73649i | −0.845021 | − | 0.613944i | ||||
\(9\) | −2.73297 | + | 1.23728i | −0.910991 | + | 0.412425i | ||||
\(10\) | 4.27633 | + | 2.85279i | 1.35229 | + | 0.902132i | ||||
\(11\) | 1.30655 | − | 1.45107i | 0.393938 | − | 0.437513i | −0.513249 | − | 0.858240i | \(-0.671558\pi\) |
0.907187 | + | 0.420727i | \(0.138225\pi\) | |||||||
\(12\) | −5.40593 | + | 1.77515i | −1.56056 | + | 0.512440i | ||||
\(13\) | 2.38463 | + | 2.64840i | 0.661379 | + | 0.734535i | 0.976738 | − | 0.214437i | \(-0.0687917\pi\) |
−0.315359 | + | 0.948972i | \(0.602125\pi\) | |||||||
\(14\) | −7.28770 | − | 1.54905i | −1.94772 | − | 0.414001i | ||||
\(15\) | 3.62841 | − | 1.35450i | 0.936850 | − | 0.349731i | ||||
\(16\) | −0.216735 | + | 0.0460685i | −0.0541838 | + | 0.0115171i | ||||
\(17\) | 0.726639 | + | 0.527934i | 0.176236 | + | 0.128043i | 0.672406 | − | 0.740182i | \(-0.265261\pi\) |
−0.496170 | + | 0.868225i | \(0.665261\pi\) | |||||||
\(18\) | −2.09028 | + | 6.57240i | −0.492684 | + | 1.54913i | ||||
\(19\) | 0.733140 | + | 0.532657i | 0.168194 | + | 0.122200i | 0.668698 | − | 0.743534i | \(-0.266852\pi\) |
−0.500504 | + | 0.865734i | \(0.666852\pi\) | |||||||
\(20\) | 7.11830 | − | 1.81340i | 1.59170 | − | 0.405489i | ||||
\(21\) | −4.15979 | + | 3.76904i | −0.907741 | + | 0.822472i | ||||
\(22\) | −0.469217 | − | 4.46430i | −0.100037 | − | 0.951792i | ||||
\(23\) | 8.31379 | + | 1.76715i | 1.73354 | + | 0.368476i | 0.963124 | − | 0.269059i | \(-0.0867127\pi\) |
0.770421 | + | 0.637535i | \(0.220046\pi\) | |||||||
\(24\) | −2.06669 | + | 4.68108i | −0.421861 | + | 0.955521i | ||||
\(25\) | −4.79200 | + | 1.42714i | −0.958400 | + | 0.285428i | ||||
\(26\) | 8.19288 | 1.60676 | ||||||||
\(27\) | 3.09341 | + | 4.17502i | 0.595327 | + | 0.803484i | ||||
\(28\) | −8.61318 | + | 6.25784i | −1.62774 | + | 1.18262i | ||||
\(29\) | −6.82216 | − | 3.03742i | −1.26684 | − | 0.564035i | −0.340333 | − | 0.940305i | \(-0.610540\pi\) |
−0.926510 | + | 0.376270i | \(0.877206\pi\) | |||||||
\(30\) | 3.26744 | − | 8.28251i | 0.596549 | − | 1.51217i | ||||
\(31\) | −7.07738 | + | 3.15105i | −1.27114 | + | 0.565946i | −0.927734 | − | 0.373243i | \(-0.878246\pi\) |
−0.343402 | + | 0.939189i | \(0.611579\pi\) | |||||||
\(32\) | 2.69961 | − | 4.67586i | 0.477228 | − | 0.826582i | ||||
\(33\) | −2.93416 | − | 1.68186i | −0.510772 | − | 0.292775i | ||||
\(34\) | 2.01972 | − | 0.429305i | 0.346379 | − | 0.0736252i | ||||
\(35\) | 5.68771 | − | 4.49063i | 0.961399 | − | 0.759055i | ||||
\(36\) | 4.98074 | + | 8.50399i | 0.830123 | + | 1.41733i | ||||
\(37\) | −1.33249 | + | 4.10099i | −0.219061 | + | 0.674199i | 0.779780 | + | 0.626054i | \(0.215331\pi\) |
−0.998840 | + | 0.0481453i | \(0.984669\pi\) | |||||||
\(38\) | 2.03779 | − | 0.433145i | 0.330573 | − | 0.0702655i | ||||
\(39\) | 3.61260 | − | 5.00507i | 0.578480 | − | 0.801452i | ||||
\(40\) | 3.07155 | − | 5.84851i | 0.485655 | − | 0.924731i | ||||
\(41\) | 3.03574 | + | 3.37153i | 0.474103 | + | 0.526545i | 0.931999 | − | 0.362461i | \(-0.118063\pi\) |
−0.457896 | + | 0.889006i | \(0.651397\pi\) | |||||||
\(42\) | 0.0402345 | + | 12.9046i | 0.00620832 | + | 1.99122i | ||||
\(43\) | −0.885445 | − | 1.53364i | −0.135029 | − | 0.233877i | 0.790579 | − | 0.612359i | \(-0.209779\pi\) |
−0.925609 | + | 0.378482i | \(0.876446\pi\) | |||||||
\(44\) | −5.18939 | − | 3.77032i | −0.782331 | − | 0.568397i | ||||
\(45\) | −3.61907 | − | 5.64822i | −0.539498 | − | 0.841987i | ||||
\(46\) | 15.8080 | − | 11.4852i | 2.33077 | − | 1.69340i | ||||
\(47\) | 7.06685 | + | 3.14637i | 1.03081 | + | 0.458945i | 0.851226 | − | 0.524799i | \(-0.175859\pi\) |
0.179580 | + | 0.983743i | \(0.442526\pi\) | |||||||
\(48\) | 0.157191 | + | 0.350115i | 0.0226886 | + | 0.0505347i | ||||
\(49\) | −1.75159 | + | 3.03384i | −0.250227 | + | 0.433406i | ||||
\(50\) | −4.93328 | + | 10.3822i | −0.697671 | + | 1.46826i | ||||
\(51\) | 0.628320 | − | 1.42316i | 0.0879824 | − | 0.199282i | ||||
\(52\) | 7.83371 | − | 8.70021i | 1.08634 | − | 1.20650i | ||||
\(53\) | 5.94096 | − | 4.31636i | 0.816053 | − | 0.592897i | −0.0995259 | − | 0.995035i | \(-0.531733\pi\) |
0.915579 | + | 0.402137i | \(0.131733\pi\) | |||||||
\(54\) | 11.8913 | + | 1.13748i | 1.61820 | + | 0.154791i | ||||
\(55\) | 3.63211 | + | 2.42303i | 0.489753 | + | 0.326721i | ||||
\(56\) | −1.00081 | + | 9.52203i | −0.133738 | + | 1.27243i | ||||
\(57\) | 0.633941 | − | 1.43589i | 0.0839675 | − | 0.190188i | ||||
\(58\) | −15.6837 | + | 6.98281i | −2.05937 | + | 0.916888i | ||||
\(59\) | −9.23740 | − | 10.2592i | −1.20261 | − | 1.33563i | −0.927321 | − | 0.374267i | \(-0.877894\pi\) |
−0.275286 | − | 0.961362i | \(-0.588772\pi\) | |||||||
\(60\) | −5.67120 | − | 11.3892i | −0.732149 | − | 1.47034i | ||||
\(61\) | −4.22089 | + | 4.68777i | −0.540429 | + | 0.600207i | −0.950069 | − | 0.312040i | \(-0.898988\pi\) |
0.409640 | + | 0.912247i | \(0.365654\pi\) | |||||||
\(62\) | −5.50365 | + | 16.9385i | −0.698964 | + | 2.15119i | ||||
\(63\) | 7.90122 | + | 5.66563i | 0.995460 | + | 0.713802i | ||||
\(64\) | −3.97259 | − | 12.2264i | −0.496573 | − | 1.52830i | ||||
\(65\) | −5.09108 | + | 6.13054i | −0.631471 | + | 0.760400i | ||||
\(66\) | −7.38693 | + | 2.42565i | −0.909268 | + | 0.298576i | ||||
\(67\) | −11.0747 | + | 4.93079i | −1.35300 | + | 0.602392i | −0.949839 | − | 0.312739i | \(-0.898754\pi\) |
−0.403156 | + | 0.915131i | \(0.632087\pi\) | |||||||
\(68\) | 1.47529 | − | 2.55527i | 0.178905 | − | 0.309872i | ||||
\(69\) | −0.0458994 | − | 14.7215i | −0.00552564 | − | 1.77226i | ||||
\(70\) | 1.07736 | − | 16.6250i | 0.128769 | − | 1.98706i | ||||
\(71\) | −8.02747 | + | 5.83230i | −0.952686 | + | 0.692167i | −0.951441 | − | 0.307833i | \(-0.900396\pi\) |
−0.00124504 | + | 0.999999i | \(0.500396\pi\) | |||||||
\(72\) | 8.68055 | + | 1.78861i | 1.02301 | + | 0.210789i | ||||
\(73\) | 0.246766 | + | 0.759468i | 0.0288818 | + | 0.0888891i | 0.964458 | − | 0.264235i | \(-0.0851194\pi\) |
−0.935577 | + | 0.353124i | \(0.885119\pi\) | |||||||
\(74\) | 4.95654 | + | 8.58498i | 0.576186 | + | 0.997983i | ||||
\(75\) | 4.16722 | + | 7.59173i | 0.481189 | + | 0.876617i | ||||
\(76\) | 1.48849 | − | 2.57813i | 0.170741 | − | 0.295732i | ||||
\(77\) | −6.18982 | − | 1.31569i | −0.705396 | − | 0.149937i | ||||
\(78\) | −2.99363 | − | 13.8711i | −0.338962 | − | 1.57060i | ||||
\(79\) | −0.222600 | − | 0.0991078i | −0.0250444 | − | 0.0111505i | 0.394176 | − | 0.919035i | \(-0.371030\pi\) |
−0.419221 | + | 0.907884i | \(0.637697\pi\) | |||||||
\(80\) | −0.171830 | − | 0.464711i | −0.0192112 | − | 0.0519563i | ||||
\(81\) | 5.93830 | − | 6.76289i | 0.659811 | − | 0.751432i | ||||
\(82\) | 10.4299 | 1.15179 | ||||||||
\(83\) | −0.483482 | + | 4.60003i | −0.0530691 | + | 0.504919i | 0.935410 | + | 0.353564i | \(0.115030\pi\) |
−0.988479 | + | 0.151355i | \(0.951636\pi\) | |||||||
\(84\) | 13.7422 | + | 12.2961i | 1.49939 | + | 1.34162i | ||||
\(85\) | −0.933822 | + | 1.77808i | −0.101287 | + | 0.192860i | ||||
\(86\) | −3.98219 | − | 0.846440i | −0.429410 | − | 0.0912740i | ||||
\(87\) | −2.64979 | + | 12.6602i | −0.284087 | + | 1.35732i | ||||
\(88\) | −5.64252 | + | 1.19935i | −0.601494 | + | 0.127852i | ||||
\(89\) | 2.11267 | + | 6.50212i | 0.223942 | + | 0.689224i | 0.998397 | + | 0.0565946i | \(0.0180243\pi\) |
−0.774455 | + | 0.632629i | \(0.781976\pi\) | |||||||
\(90\) | −15.2168 | − | 2.50562i | −1.60399 | − | 0.264115i | ||||
\(91\) | 3.56906 | − | 10.9844i | 0.374139 | − | 1.15148i | ||||
\(92\) | 2.91860 | − | 27.7686i | 0.304285 | − | 2.89508i | ||||
\(93\) | 7.92099 | + | 10.8311i | 0.821368 | + | 1.12314i | ||||
\(94\) | 16.2462 | − | 7.23327i | 1.67567 | − | 0.746055i | ||||
\(95\) | −0.942175 | + | 1.79399i | −0.0966652 | + | 0.184059i | ||||
\(96\) | −8.90297 | − | 2.86209i | −0.908656 | − | 0.292111i | ||||
\(97\) | −4.33055 | − | 1.92809i | −0.439701 | − | 0.195767i | 0.174932 | − | 0.984580i | \(-0.444029\pi\) |
−0.614633 | + | 0.788813i | \(0.710696\pi\) | |||||||
\(98\) | 2.48869 | + | 7.65939i | 0.251395 | + | 0.773715i | ||||
\(99\) | −1.77539 | + | 5.58228i | −0.178433 | + | 0.561040i | ||||
\(100\) | 6.30808 | + | 15.1658i | 0.630808 | + | 1.51658i | ||||
\(101\) | 5.99315 | + | 10.3804i | 0.596341 | + | 1.03289i | 0.993356 | + | 0.115080i | \(0.0367126\pi\) |
−0.397016 | + | 0.917812i | \(0.629954\pi\) | |||||||
\(102\) | −1.46484 | − | 3.26266i | −0.145041 | − | 0.323052i | ||||
\(103\) | −0.230552 | − | 2.19355i | −0.0227169 | − | 0.216137i | −0.999991 | − | 0.00415917i | \(-0.998676\pi\) |
0.977274 | − | 0.211978i | \(-0.0679906\pi\) | |||||||
\(104\) | −1.10053 | − | 10.4708i | −0.107915 | − | 1.02675i | ||||
\(105\) | −9.68121 | − | 7.98885i | −0.944790 | − | 0.779632i | ||||
\(106\) | 1.76465 | − | 16.7895i | 0.171398 | − | 1.63074i | ||||
\(107\) | −4.62059 | −0.446689 | −0.223344 | − | 0.974740i | \(-0.571697\pi\) | ||||
−0.223344 | + | 0.974740i | \(0.571697\pi\) | |||||||
\(108\) | 12.5779 | − | 11.5401i | 1.21031 | − | 1.11044i | ||||
\(109\) | −4.18621 | + | 12.8838i | −0.400966 | + | 1.23405i | 0.523251 | + | 0.852178i | \(0.324719\pi\) |
−0.924217 | + | 0.381867i | \(0.875281\pi\) | |||||||
\(110\) | 9.72680 | − | 2.47792i | 0.927414 | − | 0.236261i | ||||
\(111\) | 7.43016 | + | 0.757527i | 0.705239 | + | 0.0719012i | ||||
\(112\) | 0.480503 | + | 0.533653i | 0.0454033 | + | 0.0504255i | ||||
\(113\) | −11.3213 | − | 12.5736i | −1.06502 | − | 1.18282i | −0.982505 | − | 0.186234i | \(-0.940372\pi\) |
−0.0825140 | − | 0.996590i | \(-0.526295\pi\) | |||||||
\(114\) | −1.47794 | − | 3.29185i | −0.138422 | − | 0.308310i | ||||
\(115\) | −1.22904 | + | 18.9657i | −0.114609 | + | 1.76856i | ||||
\(116\) | −7.58088 | + | 23.3315i | −0.703867 | + | 2.16628i | ||||
\(117\) | −9.79395 | − | 4.28757i | −0.905451 | − | 0.396386i | ||||
\(118\) | −31.7369 | −2.92162 | ||||||||
\(119\) | 0.304268 | − | 2.89492i | 0.0278922 | − | 0.265377i | ||||
\(120\) | −11.0243 | − | 3.06334i | −1.00637 | − | 0.279643i | ||||
\(121\) | 0.751283 | + | 7.14798i | 0.0682984 | + | 0.649816i | ||||
\(122\) | 1.51584 | + | 14.4222i | 0.137238 | + | 1.30573i | ||||
\(123\) | 4.59900 | − | 6.37166i | 0.414678 | − | 0.574514i | ||||
\(124\) | 12.7250 | + | 22.0404i | 1.14274 | + | 1.97928i | ||||
\(125\) | −4.70319 | − | 10.1430i | −0.420666 | − | 0.907215i | ||||
\(126\) | 21.8337 | − | 4.78338i | 1.94510 | − | 0.426138i | ||||
\(127\) | −2.60072 | − | 8.00418i | −0.230776 | − | 0.710256i | −0.997654 | − | 0.0684626i | \(-0.978191\pi\) |
0.766877 | − | 0.641794i | \(-0.221809\pi\) | |||||||
\(128\) | −17.1341 | − | 7.62859i | −1.51446 | − | 0.674279i | ||||
\(129\) | −2.27302 | + | 2.05950i | −0.200128 | + | 0.181329i | ||||
\(130\) | 2.64212 | + | 18.1283i | 0.231729 | + | 1.58996i | ||||
\(131\) | 13.2541 | − | 5.90112i | 1.15802 | − | 0.515584i | 0.264402 | − | 0.964413i | \(-0.414825\pi\) |
0.893618 | + | 0.448829i | \(0.148159\pi\) | |||||||
\(132\) | −4.48724 | + | 10.1637i | −0.390564 | + | 0.884633i | ||||
\(133\) | 0.306990 | − | 2.92081i | 0.0266194 | − | 0.253267i | ||||
\(134\) | −8.61215 | + | 26.5055i | −0.743976 | + | 2.28972i | ||||
\(135\) | −8.24045 | + | 8.19116i | −0.709225 | + | 0.704983i | ||||
\(136\) | −0.819971 | − | 2.52361i | −0.0703119 | − | 0.216398i | ||||
\(137\) | 5.89389 | − | 1.25278i | 0.503549 | − | 0.107033i | 0.0508682 | − | 0.998705i | \(-0.483801\pi\) |
0.452681 | + | 0.891673i | \(0.350468\pi\) | |||||||
\(138\) | −25.2214 | − | 22.5675i | −2.14699 | − | 1.92107i | ||||
\(139\) | 8.08068 | + | 1.71760i | 0.685394 | + | 0.145685i | 0.537431 | − | 0.843308i | \(-0.319395\pi\) |
0.147963 | + | 0.988993i | \(0.452728\pi\) | |||||||
\(140\) | −16.6243 | − | 17.0402i | −1.40501 | − | 1.44016i | ||||
\(141\) | 2.74483 | − | 13.1143i | 0.231157 | − | 1.10443i | ||||
\(142\) | −2.38441 | + | 22.6862i | −0.200095 | + | 1.90378i | ||||
\(143\) | 6.95864 | 0.581911 | ||||||||
\(144\) | 0.535332 | − | 0.394065i | 0.0446110 | − | 0.0328388i | ||||
\(145\) | 4.52079 | − | 16.0749i | 0.375432 | − | 1.33494i | ||||
\(146\) | 1.67710 | + | 0.746693i | 0.138798 | + | 0.0617968i | ||||
\(147\) | 5.77652 | + | 1.85701i | 0.476440 | + | 0.153164i | ||||
\(148\) | 13.8558 | + | 2.94515i | 1.13894 | + | 0.242090i | ||||
\(149\) | 5.47333 | − | 9.48009i | 0.448393 | − | 0.776639i | −0.549889 | − | 0.835238i | \(-0.685330\pi\) |
0.998282 | + | 0.0585987i | \(0.0186632\pi\) | |||||||
\(150\) | 19.3804 | + | 4.55880i | 1.58240 | + | 0.372224i | ||||
\(151\) | −10.5024 | − | 18.1907i | −0.854675 | − | 1.48034i | −0.876946 | − | 0.480589i | \(-0.840423\pi\) |
0.0222707 | − | 0.999752i | \(-0.492910\pi\) | |||||||
\(152\) | −0.827306 | − | 2.54619i | −0.0671034 | − | 0.206523i | ||||
\(153\) | −2.63909 | − | 0.543778i | −0.213358 | − | 0.0439618i | ||||
\(154\) | −11.7695 | + | 8.55102i | −0.948411 | + | 0.689061i | ||||
\(155\) | −9.25469 | − | 14.6439i | −0.743355 | − | 1.17622i | ||||
\(156\) | −17.5925 | − | 10.0840i | −1.40852 | − | 0.807367i | ||||
\(157\) | 3.25622 | − | 5.63994i | 0.259875 | − | 0.450116i | −0.706333 | − | 0.707879i | \(-0.749652\pi\) |
0.966208 | + | 0.257763i | \(0.0829854\pi\) | |||||||
\(158\) | −0.511741 | + | 0.227842i | −0.0407119 | + | 0.0181261i | ||||
\(159\) | −9.47869 | − | 8.48129i | −0.751709 | − | 0.672610i | ||||
\(160\) | 11.2168 | + | 4.46548i | 0.886767 | + | 0.353027i | ||||
\(161\) | −8.51211 | − | 26.1976i | −0.670848 | − | 2.06466i | ||||
\(162\) | −2.41918 | − | 20.5485i | −0.190069 | − | 1.61444i | ||||
\(163\) | −1.26328 | + | 3.88796i | −0.0989474 | + | 0.304529i | −0.988262 | − | 0.152766i | \(-0.951182\pi\) |
0.889315 | + | 0.457295i | \(0.151182\pi\) | |||||||
\(164\) | 9.97265 | − | 11.0757i | 0.778733 | − | 0.864871i | ||||
\(165\) | 2.77520 | − | 7.03477i | 0.216049 | − | 0.547656i | ||||
\(166\) | 7.11513 | + | 7.90215i | 0.552241 | + | 0.613326i | ||||
\(167\) | 15.3149 | − | 6.81865i | 1.18511 | − | 0.527643i | 0.282984 | − | 0.959125i | \(-0.408676\pi\) |
0.902122 | + | 0.431482i | \(0.142009\pi\) | |||||||
\(168\) | 16.4872 | − | 1.78486i | 1.27201 | − | 0.137705i | ||||
\(169\) | 0.0313031 | − | 0.297829i | 0.00240793 | − | 0.0229099i | ||||
\(170\) | 1.60126 | + | 4.33057i | 0.122811 | + | 0.332140i | ||||
\(171\) | −2.66270 | − | 0.548642i | −0.203621 | − | 0.0419557i | ||||
\(172\) | −4.70647 | + | 3.41945i | −0.358865 | + | 0.260730i | ||||
\(173\) | −4.40487 | + | 4.89211i | −0.334896 | + | 0.371940i | −0.886948 | − | 0.461870i | \(-0.847179\pi\) |
0.552051 | + | 0.833810i | \(0.313845\pi\) | |||||||
\(174\) | 17.5531 | + | 24.0021i | 1.33070 | + | 1.81959i | ||||
\(175\) | 11.7706 | + | 11.1370i | 0.889775 | + | 0.841876i | ||||
\(176\) | −0.216326 | + | 0.374687i | −0.0163062 | + | 0.0282431i | ||||
\(177\) | −13.9942 | + | 19.3882i | −1.05187 | + | 1.45731i | ||||
\(178\) | 14.3584 | + | 6.39275i | 1.07620 | + | 0.479157i | ||||
\(179\) | −8.82628 | + | 6.41267i | −0.659707 | + | 0.479305i | −0.866564 | − | 0.499066i | \(-0.833677\pi\) |
0.206857 | + | 0.978371i | \(0.433677\pi\) | |||||||
\(180\) | −17.2105 | + | 13.7633i | −1.28279 | + | 1.02585i | ||||
\(181\) | 7.04839 | + | 5.12096i | 0.523903 | + | 0.380638i | 0.818072 | − | 0.575116i | \(-0.195043\pi\) |
−0.294169 | + | 0.955753i | \(0.595043\pi\) | |||||||
\(182\) | −13.2760 | − | 22.9947i | −0.984082 | − | 1.70448i | ||||
\(183\) | 9.47901 | + | 5.43337i | 0.700708 | + | 0.401646i | ||||
\(184\) | −16.8020 | − | 18.6605i | −1.23866 | − | 1.37567i | ||||
\(185\) | −9.50395 | − | 1.62587i | −0.698744 | − | 0.119536i | ||||
\(186\) | 30.6890 | + | 3.12884i | 2.25023 | + | 0.229418i | ||||
\(187\) | 1.71545 | − | 0.364631i | 0.125446 | − | 0.0266645i | ||||
\(188\) | 7.85279 | − | 24.1684i | 0.572723 | − | 1.76266i | ||||
\(189\) | 6.70525 | − | 15.4475i | 0.487735 | − | 1.12364i | ||||
\(190\) | 1.61558 | + | 4.36931i | 0.117207 | + | 0.316983i | ||||
\(191\) | 9.78604 | − | 2.08009i | 0.708093 | − | 0.150510i | 0.160232 | − | 0.987079i | \(-0.448776\pi\) |
0.547861 | + | 0.836570i | \(0.315442\pi\) | |||||||
\(192\) | −19.2485 | + | 11.1933i | −1.38914 | + | 0.807808i | ||||
\(193\) | 5.77682 | − | 10.0057i | 0.415824 | − | 0.720229i | −0.579690 | − | 0.814837i | \(-0.696826\pi\) |
0.995515 | + | 0.0946081i | \(0.0301598\pi\) | |||||||
\(194\) | −9.95563 | + | 4.43253i | −0.714773 | + | 0.318237i | ||||
\(195\) | 12.2397 | + | 6.37949i | 0.876502 | + | 0.456845i | ||||
\(196\) | 10.5133 | + | 4.68081i | 0.750948 | + | 0.334343i | ||||
\(197\) | 10.5844 | − | 7.69002i | 0.754108 | − | 0.547891i | −0.142990 | − | 0.989724i | \(-0.545672\pi\) |
0.897097 | + | 0.441833i | \(0.145672\pi\) | |||||||
\(198\) | 6.80593 | + | 11.6203i | 0.483676 | + | 0.825817i | ||||
\(199\) | 2.60687 | 0.184796 | 0.0923980 | − | 0.995722i | \(-0.470547\pi\) | ||||
0.0923980 | + | 0.995722i | \(0.470547\pi\) | |||||||
\(200\) | 13.9315 | + | 4.91030i | 0.985105 | + | 0.347211i | ||||
\(201\) | 12.3948 | + | 16.9486i | 0.874264 | + | 1.19546i | ||||
\(202\) | 26.9535 | + | 5.72914i | 1.89644 | + | 0.403101i | ||||
\(203\) | 2.52980 | + | 24.0695i | 0.177557 | + | 1.68934i | ||||
\(204\) | −4.86532 | − | 1.56408i | −0.340641 | − | 0.109508i | ||||
\(205\) | −6.48117 | + | 7.80445i | −0.452664 | + | 0.545086i | ||||
\(206\) | −4.10221 | − | 2.98043i | −0.285814 | − | 0.207656i | ||||
\(207\) | −24.9078 | + | 5.45687i | −1.73121 | + | 0.379279i | ||||
\(208\) | −0.638842 | − | 0.464146i | −0.0442957 | − | 0.0321827i | ||||
\(209\) | 1.73080 | − | 0.367893i | 0.119722 | − | 0.0254477i | ||||
\(210\) | −28.5409 | + | 4.25063i | −1.96951 | + | 0.293321i | ||||
\(211\) | −26.1057 | − | 5.54894i | −1.79719 | − | 0.382005i | −0.816466 | − | 0.577394i | \(-0.804070\pi\) |
−0.980726 | + | 0.195389i | \(0.937403\pi\) | |||||||
\(212\) | −16.1419 | − | 17.9274i | −1.10863 | − | 1.23126i | ||||
\(213\) | 12.8077 | + | 11.4600i | 0.877568 | + | 0.785225i | ||||
\(214\) | −7.10777 | + | 7.89398i | −0.485877 | + | 0.539622i | ||||
\(215\) | 3.10791 | − | 2.45380i | 0.211958 | − | 0.167348i | ||||
\(216\) | −0.143584 | − | 15.3503i | −0.00976962 | − | 1.04446i | ||||
\(217\) | 20.3124 | + | 14.7578i | 1.37889 | + | 1.00182i | ||||
\(218\) | 15.5716 | + | 26.9708i | 1.05464 | + | 1.82670i | ||||
\(219\) | 1.19567 | − | 0.695298i | 0.0807957 | − | 0.0469839i | ||||
\(220\) | 6.66902 | − | 12.6984i | 0.449625 | − | 0.856127i | ||||
\(221\) | 0.334585 | + | 3.18337i | 0.0225066 | + | 0.214136i | ||||
\(222\) | 12.7239 | − | 11.5287i | 0.853971 | − | 0.773754i | ||||
\(223\) | 14.3624 | − | 15.9511i | 0.961780 | − | 1.06817i | −0.0358496 | − | 0.999357i | \(-0.511414\pi\) |
0.997630 | − | 0.0688080i | \(-0.0219196\pi\) | |||||||
\(224\) | −17.4981 | −1.16914 | ||||||||
\(225\) | 11.3306 | − | 9.82937i | 0.755377 | − | 0.655291i | ||||
\(226\) | −38.8966 | −2.58736 | ||||||||
\(227\) | −3.52007 | + | 3.90944i | −0.233636 | + | 0.259479i | −0.848550 | − | 0.529115i | \(-0.822524\pi\) |
0.614914 | + | 0.788594i | \(0.289191\pi\) | |||||||
\(228\) | −4.90884 | − | 1.57808i | −0.325096 | − | 0.104511i | ||||
\(229\) | −1.82919 | − | 17.4036i | −0.120877 | − | 1.15006i | −0.871864 | − | 0.489747i | \(-0.837089\pi\) |
0.750988 | − | 0.660316i | \(-0.229578\pi\) | |||||||
\(230\) | 30.5111 | + | 31.2744i | 2.01185 | + | 2.06217i | ||||
\(231\) | 0.0341733 | + | 10.9605i | 0.00224844 | + | 0.721151i | ||||
\(232\) | 11.0310 | + | 19.1063i | 0.724223 | + | 1.25439i | ||||
\(233\) | −7.95794 | − | 5.78178i | −0.521342 | − | 0.378777i | 0.295767 | − | 0.955260i | \(-0.404425\pi\) |
−0.817109 | + | 0.576483i | \(0.804425\pi\) | |||||||
\(234\) | −22.3909 | + | 10.1369i | −1.46374 | + | 0.662667i | ||||
\(235\) | −4.68294 | + | 16.6514i | −0.305482 | + | 1.08622i | ||||
\(236\) | −30.3456 | + | 33.7022i | −1.97533 | + | 2.19382i | ||||
\(237\) | −0.0864598 | + | 0.413090i | −0.00561617 | + | 0.0268331i | ||||
\(238\) | −4.47773 | − | 4.97303i | −0.290248 | − | 0.322353i | ||||
\(239\) | 16.3019 | + | 3.46507i | 1.05448 | + | 0.224136i | 0.702362 | − | 0.711820i | \(-0.252129\pi\) |
0.352117 | + | 0.935956i | \(0.385462\pi\) | |||||||
\(240\) | −0.724003 | + | 0.460723i | −0.0467342 | + | 0.0297396i | ||||
\(241\) | −21.6986 | + | 4.61217i | −1.39773 | + | 0.297096i | −0.844331 | − | 0.535822i | \(-0.820002\pi\) |
−0.553396 | + | 0.832918i | \(0.686668\pi\) | |||||||
\(242\) | 13.3676 | + | 9.71210i | 0.859299 | + | 0.624317i | ||||
\(243\) | −13.6199 | − | 7.58284i | −0.873714 | − | 0.486439i | ||||
\(244\) | 16.7647 | + | 12.1803i | 1.07325 | + | 0.779762i | ||||
\(245\) | −7.27782 | − | 2.89734i | −0.464963 | − | 0.185104i | ||||
\(246\) | −3.81102 | − | 17.6585i | −0.242982 | − | 1.12587i | ||||
\(247\) | 0.337578 | + | 3.21184i | 0.0214796 | + | 0.204365i | ||||
\(248\) | 22.3873 | + | 4.75857i | 1.42160 | + | 0.302169i | ||||
\(249\) | 7.96483 | − | 0.862253i | 0.504751 | − | 0.0546431i | ||||
\(250\) | −24.5635 | − | 7.56767i | −1.55353 | − | 0.478621i | ||||
\(251\) | −7.63595 | −0.481977 | −0.240989 | − | 0.970528i | \(-0.577472\pi\) | ||||
−0.240989 | + | 0.970528i | \(0.577472\pi\) | |||||||
\(252\) | 15.7969 | − | 27.7594i | 0.995113 | − | 1.74868i | ||||
\(253\) | 13.4266 | − | 9.75499i | 0.844122 | − | 0.613291i | ||||
\(254\) | −17.6753 | − | 7.86954i | −1.10905 | − | 0.493779i | ||||
\(255\) | 3.35163 | + | 0.931325i | 0.209887 | + | 0.0583219i | ||||
\(256\) | −15.9018 | + | 7.07994i | −0.993863 | + | 0.442496i | ||||
\(257\) | −3.94709 | + | 6.83657i | −0.246213 | + | 0.426453i | −0.962472 | − | 0.271381i | \(-0.912520\pi\) |
0.716259 | + | 0.697835i | \(0.245853\pi\) | |||||||
\(258\) | 0.0219852 | + | 7.05141i | 0.00136874 | + | 0.439001i | ||||
\(259\) | 13.6693 | − | 2.90551i | 0.849371 | − | 0.180539i | ||||
\(260\) | 21.7772 | + | 14.5278i | 1.35056 | + | 0.900979i | ||||
\(261\) | 22.4029 | − | 0.139699i | 1.38671 | − | 0.00864714i | ||||
\(262\) | 10.3069 | − | 31.7215i | 0.636764 | − | 1.95976i | ||||
\(263\) | 9.10099 | − | 1.93448i | 0.561191 | − | 0.119285i | 0.0814223 | − | 0.996680i | \(-0.474054\pi\) |
0.479769 | + | 0.877395i | \(0.340720\pi\) | |||||||
\(264\) | 4.09233 | + | 9.11494i | 0.251866 | + | 0.560986i | ||||
\(265\) | 11.4667 | + | 11.7535i | 0.704392 | + | 0.722013i | ||||
\(266\) | −4.51779 | − | 5.01751i | −0.277003 | − | 0.307643i | ||||
\(267\) | 10.2366 | − | 5.95273i | 0.626470 | − | 0.364301i | ||||
\(268\) | 19.9122 | + | 34.4889i | 1.21633 | + | 2.10675i | ||||
\(269\) | 12.3841 | + | 8.99756i | 0.755071 | + | 0.548591i | 0.897394 | − | 0.441229i | \(-0.145457\pi\) |
−0.142324 | + | 0.989820i | \(0.545457\pi\) | |||||||
\(270\) | 1.31794 | + | 26.6786i | 0.0802070 | + | 1.62361i | ||||
\(271\) | −6.20201 | + | 4.50602i | −0.376745 | + | 0.273721i | −0.760002 | − | 0.649920i | \(-0.774802\pi\) |
0.383257 | + | 0.923642i | \(0.374802\pi\) | |||||||
\(272\) | −0.181809 | − | 0.0809468i | −0.0110238 | − | 0.00490812i | ||||
\(273\) | −19.9015 | − | 2.02902i | −1.20450 | − | 0.122802i | ||||
\(274\) | 6.92617 | − | 11.9965i | 0.418425 | − | 0.724734i | ||||
\(275\) | −4.19009 | + | 8.81813i | −0.252672 | + | 0.531753i | ||||
\(276\) | −48.0807 | + | 5.20510i | −2.89412 | + | 0.313310i | ||||
\(277\) | 0.345420 | − | 0.383628i | 0.0207543 | − | 0.0230500i | −0.732678 | − | 0.680575i | \(-0.761730\pi\) |
0.753433 | + | 0.657525i | \(0.228397\pi\) | |||||||
\(278\) | 15.3648 | − | 11.1632i | 0.921519 | − | 0.669523i | ||||
\(279\) | 15.4436 | − | 17.3684i | 0.924583 | − | 1.03982i | ||||
\(280\) | −21.3921 | + | 0.856285i | −1.27842 | + | 0.0511728i | ||||
\(281\) | −0.275106 | + | 2.61746i | −0.0164115 | + | 0.156145i | −0.999658 | − | 0.0261336i | \(-0.991680\pi\) |
0.983247 | + | 0.182278i | \(0.0583471\pi\) | |||||||
\(282\) | −18.1827 | − | 24.8630i | −1.08276 | − | 1.48057i | ||||
\(283\) | 28.0092 | − | 12.4705i | 1.66497 | − | 0.741293i | 0.664987 | − | 0.746855i | \(-0.268437\pi\) |
0.999985 | + | 0.00556193i | \(0.00177043\pi\) | |||||||
\(284\) | 21.8111 | + | 24.2237i | 1.29425 | + | 1.43741i | ||||
\(285\) | 3.38161 | + | 0.939657i | 0.200309 | + | 0.0556605i | ||||
\(286\) | 10.7044 | − | 11.8884i | 0.632962 | − | 0.702976i | ||||
\(287\) | 4.54357 | − | 13.9837i | 0.268198 | − | 0.825429i | ||||
\(288\) | −1.59263 | + | 16.1192i | −0.0938468 | + | 0.949830i | ||||
\(289\) | −5.00400 | − | 15.4007i | −0.294353 | − | 0.905925i | ||||
\(290\) | −20.5086 | − | 32.4512i | −1.20431 | − | 1.90560i | ||||
\(291\) | −1.68203 | + | 8.03644i | −0.0986022 | + | 0.471104i | ||||
\(292\) | 2.39651 | − | 1.06699i | 0.140245 | − | 0.0624411i | ||||
\(293\) | −14.6607 | + | 25.3931i | −0.856488 | + | 1.48348i | 0.0187704 | + | 0.999824i | \(0.494025\pi\) |
−0.875258 | + | 0.483656i | \(0.839309\pi\) | |||||||
\(294\) | 12.0585 | − | 7.01221i | 0.703268 | − | 0.408961i | ||||
\(295\) | 19.7214 | − | 23.7480i | 1.14822 | − | 1.38266i | ||||
\(296\) | 10.3061 | − | 7.48784i | 0.599031 | − | 0.435222i | ||||
\(297\) | 10.0999 | + | 0.966121i | 0.586056 | + | 0.0560600i | ||||
\(298\) | −7.77660 | − | 23.9339i | −0.450486 | − | 1.38645i | ||||
\(299\) | 15.1452 | + | 26.2323i | 0.875871 | + | 1.51705i | ||||
\(300\) | 23.3718 | − | 16.2215i | 1.34937 | − | 0.936550i | ||||
\(301\) | −2.86960 | + | 4.97030i | −0.165401 | + | 0.286483i | ||||
\(302\) | −47.2334 | − | 10.0398i | −2.71798 | − | 0.577724i | ||||
\(303\) | 15.3850 | − | 13.9398i | 0.883842 | − | 0.800819i | ||||
\(304\) | −0.183436 | − | 0.0816709i | −0.0105208 | − | 0.00468415i | ||||
\(305\) | −11.7338 | − | 7.82776i | −0.671874 | − | 0.448216i | ||||
\(306\) | −4.98868 | + | 3.67223i | −0.285184 | + | 0.209927i | ||||
\(307\) | 9.35518 | 0.533929 | 0.266964 | − | 0.963706i | \(-0.413979\pi\) | ||||
0.266964 | + | 0.963706i | \(0.413979\pi\) | |||||||
\(308\) | −2.17297 | + | 20.6744i | −0.123817 | + | 1.17804i | ||||
\(309\) | −3.62960 | + | 1.19185i | −0.206481 | + | 0.0678021i | ||||
\(310\) | −39.2545 | − | 6.71538i | −2.22951 | − | 0.381408i | ||||
\(311\) | −20.1764 | − | 4.28863i | −1.14410 | − | 0.243186i | −0.403401 | − | 0.915023i | \(-0.632172\pi\) |
−0.740699 | + | 0.671837i | \(0.765505\pi\) | |||||||
\(312\) | −17.3257 | + | 5.68924i | −0.980874 | + | 0.322090i | ||||
\(313\) | −19.9912 | + | 4.24926i | −1.12997 | + | 0.240183i | −0.734707 | − | 0.678385i | \(-0.762680\pi\) |
−0.395264 | + | 0.918568i | \(0.629347\pi\) | |||||||
\(314\) | −4.62649 | − | 14.2389i | −0.261088 | − | 0.803547i | ||||
\(315\) | −9.98823 | + | 19.3101i | −0.562773 | + | 1.08800i | ||||
\(316\) | −0.247356 | + | 0.761283i | −0.0139149 | + | 0.0428255i | ||||
\(317\) | 0.00914898 | − | 0.0870467i | 0.000513858 | − | 0.00488903i | −0.994262 | − | 0.106973i | \(-0.965884\pi\) |
0.994776 | + | 0.102084i | \(0.0325509\pi\) | |||||||
\(318\) | −29.0707 | + | 3.14712i | −1.63020 | + | 0.176482i | ||||
\(319\) | −13.3210 | + | 5.93087i | −0.745830 | + | 0.332065i | ||||
\(320\) | 25.7721 | − | 12.7330i | 1.44070 | − | 0.711796i | ||||
\(321\) | 1.68834 | + | 7.82298i | 0.0942337 | + | 0.436636i | ||||
\(322\) | −57.8510 | − | 25.7569i | −3.22391 | − | 1.43538i | ||||
\(323\) | 0.251520 | + | 0.774099i | 0.0139950 | + | 0.0430720i | ||||
\(324\) | −24.1340 | − | 17.0786i | −1.34078 | − | 0.948813i | ||||
\(325\) | −15.2068 | − | 9.28795i | −0.843522 | − | 0.515203i | ||||
\(326\) | 4.69907 | + | 8.13902i | 0.260257 | + | 0.450779i | ||||
\(327\) | 23.3428 | + | 2.37987i | 1.29086 | + | 0.131607i | ||||
\(328\) | −1.40102 | − | 13.3298i | −0.0773582 | − | 0.736014i | ||||
\(329\) | −2.62054 | − | 24.9328i | −0.144475 | − | 1.37459i | ||||
\(330\) | −7.74942 | − | 15.5627i | −0.426591 | − | 0.856701i | ||||
\(331\) | −2.35991 | + | 22.4531i | −0.129713 | + | 1.23413i | 0.715082 | + | 0.699041i | \(0.246390\pi\) |
−0.844794 | + | 0.535091i | \(0.820277\pi\) | |||||||
\(332\) | 15.1947 | 0.833917 | ||||||||
\(333\) | −1.43239 | − | 12.8566i | −0.0784945 | − | 0.704536i | ||||
\(334\) | 11.9095 | − | 36.6536i | 0.651658 | − | 2.00560i | ||||
\(335\) | −14.4818 | − | 22.9149i | −0.791226 | − | 1.25197i | ||||
\(336\) | 0.727939 | − | 1.00852i | 0.0397123 | − | 0.0550192i | ||||
\(337\) | 2.22518 | + | 2.47131i | 0.121213 | + | 0.134621i | 0.800697 | − | 0.599070i | \(-0.204463\pi\) |
−0.679484 | + | 0.733691i | \(0.737796\pi\) | |||||||
\(338\) | −0.460669 | − | 0.511625i | −0.0250571 | − | 0.0278287i | ||||
\(339\) | −17.1512 | + | 23.7621i | −0.931527 | + | 1.29058i | ||||
\(340\) | 6.12980 | + | 2.44031i | 0.332435 | + | 0.132344i | ||||
\(341\) | −4.67454 | + | 14.3867i | −0.253140 | + | 0.779086i | ||||
\(342\) | −5.03330 | + | 3.70508i | −0.272170 | + | 0.200348i | ||||
\(343\) | −11.3327 | −0.611909 | ||||||||
\(344\) | −0.546866 | + | 5.20308i | −0.0294850 | + | 0.280531i | ||||
\(345\) | 32.5594 | − | 4.84911i | 1.75294 | − | 0.261067i | ||||
\(346\) | 1.58191 | + | 15.0509i | 0.0850442 | + | 0.809142i | ||||
\(347\) | 1.44171 | + | 13.7170i | 0.0773951 | + | 0.736365i | 0.962557 | + | 0.271081i | \(0.0873811\pi\) |
−0.885162 | + | 0.465284i | \(0.845952\pi\) | |||||||
\(348\) | 42.2719 | + | 4.30975i | 2.26601 | + | 0.231027i | ||||
\(349\) | −7.45084 | − | 12.9052i | −0.398834 | − | 0.690801i | 0.594748 | − | 0.803912i | \(-0.297252\pi\) |
−0.993582 | + | 0.113111i | \(0.963918\pi\) | |||||||
\(350\) | 37.1334 | − | 2.97753i | 1.98486 | − | 0.159156i | ||||
\(351\) | −3.68051 | + | 18.1485i | −0.196451 | + | 0.968695i | ||||
\(352\) | −3.25781 | − | 10.0265i | −0.173642 | − | 0.534415i | ||||
\(353\) | −8.63336 | − | 3.84382i | −0.459508 | − | 0.204586i | 0.163910 | − | 0.986475i | \(-0.447589\pi\) |
−0.623417 | + | 0.781889i | \(0.714256\pi\) | |||||||
\(354\) | 11.5965 | + | 53.7328i | 0.616346 | + | 2.85587i | ||||
\(355\) | −15.4939 | − | 15.8815i | −0.822328 | − | 0.842900i | ||||
\(356\) | 20.5175 | − | 9.13498i | 1.08743 | − | 0.484153i | ||||
\(357\) | −5.01247 | + | 0.542638i | −0.265288 | + | 0.0287195i | ||||
\(358\) | −2.62168 | + | 24.9436i | −0.138560 | + | 1.31831i | ||||
\(359\) | 0.603190 | − | 1.85643i | 0.0318351 | − | 0.0979785i | −0.933876 | − | 0.357596i | \(-0.883596\pi\) |
0.965712 | + | 0.259618i | \(0.0835965\pi\) | |||||||
\(360\) | −1.15825 | + | 19.7842i | −0.0610449 | + | 1.04272i | ||||
\(361\) | −5.61755 | − | 17.2890i | −0.295661 | − | 0.909950i | ||||
\(362\) | 19.5913 | − | 4.16425i | 1.02969 | − | 0.218868i | ||||
\(363\) | 11.8275 | − | 3.88380i | 0.620783 | − | 0.203847i | ||||
\(364\) | −37.1126 | − | 7.88852i | −1.94523 | − | 0.413471i | ||||
\(365\) | −1.60089 | + | 0.790938i | −0.0837944 | + | 0.0413996i | ||||
\(366\) | 23.8640 | − | 7.83622i | 1.24739 | − | 0.409606i | ||||
\(367\) | 0.759966 | − | 7.23059i | 0.0396699 | − | 0.377434i | −0.956618 | − | 0.291346i | \(-0.905897\pi\) |
0.996288 | − | 0.0860876i | \(-0.0274365\pi\) | |||||||
\(368\) | −1.88330 | −0.0981738 | ||||||||
\(369\) | −12.4681 | − | 5.45826i | −0.649065 | − | 0.284146i | ||||
\(370\) | −17.3975 | + | 13.7359i | −0.904451 | + | 0.714093i | ||||
\(371\) | −21.7415 | − | 9.67994i | −1.12876 | − | 0.502557i | ||||
\(372\) | 32.6662 | − | 29.5978i | 1.69367 | − | 1.53457i | ||||
\(373\) | 12.7293 | + | 2.70570i | 0.659098 | + | 0.140096i | 0.525305 | − | 0.850914i | \(-0.323951\pi\) |
0.133793 | + | 0.991009i | \(0.457284\pi\) | |||||||
\(374\) | 2.01591 | − | 3.49165i | 0.104240 | − | 0.180549i | ||||
\(375\) | −15.4543 | + | 11.6690i | −0.798054 | + | 0.602586i | ||||
\(376\) | −11.4267 | − | 19.7916i | −0.589287 | − | 1.02067i | ||||
\(377\) | −8.22403 | − | 25.3110i | −0.423559 | − | 1.30358i | ||||
\(378\) | −16.0765 | − | 35.2182i | −0.826886 | − | 1.81143i | ||||
\(379\) | 0.718684 | − | 0.522154i | 0.0369163 | − | 0.0268213i | −0.569174 | − | 0.822217i | \(-0.692737\pi\) |
0.606090 | + | 0.795396i | \(0.292737\pi\) | |||||||
\(380\) | 6.18463 | + | 2.46214i | 0.317265 | + | 0.126305i | ||||
\(381\) | −12.6014 | + | 7.32787i | −0.645587 | + | 0.375418i | ||||
\(382\) | 11.5000 | − | 19.9186i | 0.588391 | − | 1.01912i | ||||
\(383\) | 17.1982 | − | 7.65712i | 0.878785 | − | 0.391261i | 0.0827928 | − | 0.996567i | \(-0.473616\pi\) |
0.795993 | + | 0.605306i | \(0.206949\pi\) | |||||||
\(384\) | −6.65505 | + | 31.7967i | −0.339614 | + | 1.62262i | ||||
\(385\) | 0.915054 | − | 14.1205i | 0.0466355 | − | 0.719645i | ||||
\(386\) | −8.20780 | − | 25.2610i | −0.417766 | − | 1.28575i | ||||
\(387\) | 4.31743 | + | 3.09585i | 0.219467 | + | 0.157371i | ||||
\(388\) | −4.81217 | + | 14.8103i | −0.244301 | + | 0.751881i | ||||
\(389\) | −21.7409 | + | 24.1457i | −1.10231 | + | 1.22423i | −0.129754 | + | 0.991546i | \(0.541419\pi\) |
−0.972551 | + | 0.232688i | \(0.925248\pi\) | |||||||
\(390\) | 29.7271 | − | 11.0973i | 1.50529 | − | 0.561932i | ||||
\(391\) | 5.10819 | + | 5.67322i | 0.258332 | + | 0.286907i | ||||
\(392\) | 9.45468 | − | 4.20950i | 0.477534 | − | 0.212612i | ||||
\(393\) | −14.8340 | − | 20.2840i | −0.748276 | − | 1.02319i | ||||
\(394\) | 3.14390 | − | 29.9122i | 0.158387 | − | 1.50696i | ||||
\(395\) | 0.147509 | − | 0.524506i | 0.00742197 | − | 0.0263907i | ||||
\(396\) | 18.8474 | + | 3.88346i | 0.947118 | + | 0.195151i | ||||
\(397\) | −15.9764 | + | 11.6075i | −0.801832 | + | 0.582565i | −0.911451 | − | 0.411409i | \(-0.865037\pi\) |
0.109619 | + | 0.993974i | \(0.465037\pi\) | |||||||
\(398\) | 4.01010 | − | 4.45367i | 0.201008 | − | 0.223242i | ||||
\(399\) | −5.05731 | + | 0.547492i | −0.253182 | + | 0.0274089i | ||||
\(400\) | 0.972849 | − | 0.530072i | 0.0486424 | − | 0.0265036i | ||||
\(401\) | 5.22664 | − | 9.05280i | 0.261006 | − | 0.452075i | −0.705504 | − | 0.708706i | \(-0.749279\pi\) |
0.966509 | + | 0.256631i | \(0.0826125\pi\) | |||||||
\(402\) | 48.0225 | + | 4.89603i | 2.39514 | + | 0.244192i | ||||
\(403\) | −25.2222 | − | 11.2297i | −1.25641 | − | 0.559389i | ||||
\(404\) | 31.8558 | − | 23.1446i | 1.58488 | − | 1.15149i | ||||
\(405\) | 16.8792 | + | 10.9587i | 0.838735 | + | 0.544540i | ||||
\(406\) | 45.0127 | + | 32.7036i | 2.23394 | + | 1.62305i | ||||
\(407\) | 4.20985 | + | 7.29167i | 0.208674 | + | 0.361435i | ||||
\(408\) | −3.97304 | + | 2.31038i | −0.196695 | + | 0.114381i | ||||
\(409\) | 4.93192 | + | 5.47746i | 0.243868 | + | 0.270843i | 0.852636 | − | 0.522506i | \(-0.175003\pi\) |
−0.608768 | + | 0.793348i | \(0.708336\pi\) | |||||||
\(410\) | 3.36353 | + | 23.0781i | 0.166113 | + | 1.13975i | ||||
\(411\) | −4.27464 | − | 9.52101i | −0.210853 | − | 0.469637i | ||||
\(412\) | −7.08735 | + | 1.50646i | −0.349169 | + | 0.0742181i | ||||
\(413\) | −13.8255 | + | 42.5506i | −0.680309 | + | 2.09378i | ||||
\(414\) | −28.9926 | + | 50.9477i | −1.42491 | + | 2.50394i | ||||
\(415\) | −10.3344 | + | 0.413665i | −0.507294 | + | 0.0203060i | ||||
\(416\) | 18.8211 | − | 4.00056i | 0.922782 | − | 0.196143i | ||||
\(417\) | −0.0446125 | − | 14.3088i | −0.00218468 | − | 0.700703i | ||||
\(418\) | 2.03394 | − | 3.52289i | 0.0994833 | − | 0.172310i | ||||
\(419\) | −1.97295 | + | 0.878413i | −0.0963849 | + | 0.0429133i | −0.454363 | − | 0.890817i | \(-0.650133\pi\) |
0.357978 | + | 0.933730i | \(0.383466\pi\) | |||||||
\(420\) | −22.7758 | + | 34.3726i | −1.11135 | + | 1.67721i | ||||
\(421\) | 28.8887 | + | 12.8621i | 1.40795 | + | 0.626859i | 0.963197 | − | 0.268796i | \(-0.0866258\pi\) |
0.444750 | + | 0.895655i | \(0.353292\pi\) | |||||||
\(422\) | −49.6380 | + | 36.0641i | −2.41634 | + | 1.75557i | ||||
\(423\) | −23.2064 | + | 0.144710i | −1.12834 | + | 0.00703602i | ||||
\(424\) | −21.6947 | −1.05359 | ||||||||
\(425\) | −4.23549 | − | 1.49285i | −0.205452 | − | 0.0724136i | ||||
\(426\) | 39.2805 | − | 4.25241i | 1.90315 | − | 0.206030i | ||||
\(427\) | 19.9967 | + | 4.25042i | 0.967706 | + | 0.205692i | ||||
\(428\) | 1.58664 | + | 15.0958i | 0.0766929 | + | 0.729685i | ||||
\(429\) | −2.54265 | − | 11.7815i | −0.122760 | − | 0.568815i | ||||
\(430\) | 0.588695 | − | 9.08432i | 0.0283894 | − | 0.438085i | ||||
\(431\) | 14.4718 | + | 10.5144i | 0.697081 | + | 0.506459i | 0.878980 | − | 0.476858i | \(-0.158225\pi\) |
−0.181899 | + | 0.983317i | \(0.558225\pi\) | |||||||
\(432\) | −0.862787 | − | 0.762366i | −0.0415109 | − | 0.0366794i | ||||
\(433\) | 26.2239 | + | 19.0528i | 1.26024 | + | 0.915620i | 0.998770 | − | 0.0495910i | \(-0.0157918\pi\) |
0.261473 | + | 0.965211i | \(0.415792\pi\) | |||||||
\(434\) | 56.4590 | − | 12.0007i | 2.71012 | − | 0.576053i | ||||
\(435\) | −28.8677 | − | 1.78036i | −1.38410 | − | 0.0853619i | ||||
\(436\) | 43.5300 | + | 9.25258i | 2.08471 | + | 0.443118i | ||||
\(437\) | 5.15388 | + | 5.72397i | 0.246544 | + | 0.273814i | ||||
\(438\) | 0.651402 | − | 3.11229i | 0.0311252 | − | 0.148711i | ||||
\(439\) | 8.09745 | − | 8.99313i | 0.386470 | − | 0.429219i | −0.518247 | − | 0.855231i | \(-0.673415\pi\) |
0.904717 | + | 0.426012i | \(0.140082\pi\) | |||||||
\(440\) | −4.47345 | − | 12.0984i | −0.213263 | − | 0.576767i | ||||
\(441\) | 1.03335 | − | 10.4586i | 0.0492071 | − | 0.498029i | ||||
\(442\) | 5.95327 | + | 4.32530i | 0.283168 | + | 0.205734i | ||||
\(443\) | −5.38308 | − | 9.32377i | −0.255758 | − | 0.442986i | 0.709343 | − | 0.704863i | \(-0.248992\pi\) |
−0.965101 | + | 0.261878i | \(0.915658\pi\) | |||||||
\(444\) | −0.0764964 | − | 24.5350i | −0.00363036 | − | 1.16438i | ||||
\(445\) | −13.7059 | + | 6.77155i | −0.649721 | + | 0.321002i | ||||
\(446\) | −5.15796 | − | 49.0747i | −0.244236 | − | 2.32375i | ||||
\(447\) | −18.0504 | − | 5.80277i | −0.853754 | − | 0.274462i | ||||
\(448\) | −27.8780 | + | 30.9617i | −1.31711 | + | 1.46280i | ||||
\(449\) | −27.1471 | −1.28115 | −0.640575 | − | 0.767896i | \(-0.721304\pi\) | ||||
−0.640575 | + | 0.767896i | \(0.721304\pi\) | |||||||
\(450\) | 0.636899 | − | 34.4781i | 0.0300237 | − | 1.62531i | ||||
\(451\) | 8.85865 | 0.417138 | ||||||||
\(452\) | −37.1914 | + | 41.3052i | −1.74934 | + | 1.94283i | ||||
\(453\) | −26.9607 | + | 24.4281i | −1.26672 | + | 1.14773i | ||||
\(454\) | 1.26416 | + | 12.0277i | 0.0593298 | + | 0.564486i | ||||
\(455\) | 25.4561 | + | 4.35485i | 1.19340 | + | 0.204159i | ||||
\(456\) | −4.00858 | + | 2.33105i | −0.187719 | + | 0.109161i | ||||
\(457\) | 7.80737 | + | 13.5228i | 0.365213 | + | 0.632568i | 0.988810 | − | 0.149178i | \(-0.0476627\pi\) |
−0.623597 | + | 0.781746i | \(0.714329\pi\) | |||||||
\(458\) | −32.5468 | − | 23.6466i | −1.52081 | − | 1.10493i | ||||
\(459\) | 0.0436527 | + | 4.66685i | 0.00203753 | + | 0.217830i | ||||
\(460\) | 62.3846 | − | 2.49714i | 2.90870 | − | 0.116430i | ||||
\(461\) | 5.02063 | − | 5.57598i | 0.233834 | − | 0.259699i | −0.614795 | − | 0.788687i | \(-0.710761\pi\) |
0.848630 | + | 0.528987i | \(0.177428\pi\) | |||||||
\(462\) | 18.7780 | + | 16.8021i | 0.873631 | + | 0.781702i | ||||
\(463\) | −22.1504 | − | 24.6005i | −1.02941 | − | 1.14328i | −0.989567 | − | 0.144075i | \(-0.953979\pi\) |
−0.0398480 | − | 0.999206i | \(-0.512687\pi\) | |||||||
\(464\) | 1.61853 | + | 0.344029i | 0.0751384 | + | 0.0159712i | ||||
\(465\) | −21.4115 | + | 21.0196i | −0.992935 | + | 0.974762i | ||||
\(466\) | −22.1194 | + | 4.70162i | −1.02466 | + | 0.217798i | ||||
\(467\) | −2.65707 | − | 1.93048i | −0.122955 | − | 0.0893318i | 0.524608 | − | 0.851344i | \(-0.324212\pi\) |
−0.647563 | + | 0.762012i | \(0.724212\pi\) | |||||||
\(468\) | −10.6448 | + | 33.4699i | −0.492054 | + | 1.54715i | ||||
\(469\) | 31.7849 | + | 23.0931i | 1.46769 | + | 1.06634i | ||||
\(470\) | 21.2442 | + | 33.6151i | 0.979923 | + | 1.55055i | ||||
\(471\) | −10.7386 | − | 3.45221i | −0.494810 | − | 0.159069i | ||||
\(472\) | 4.26313 | + | 40.5609i | 0.196226 | + | 1.86697i | ||||
\(473\) | −3.38228 | − | 0.718926i | −0.155517 | − | 0.0330562i | ||||
\(474\) | 0.572739 | + | 0.783161i | 0.0263068 | + | 0.0359718i | ||||
\(475\) | −4.27338 | − | 1.50620i | −0.196076 | − | 0.0691092i | ||||
\(476\) | −9.56241 | −0.438292 | ||||||||
\(477\) | −10.8960 | + | 19.1471i | −0.498892 | + | 0.876686i | ||||
\(478\) | 30.9967 | − | 22.5204i | 1.41776 | − | 1.03006i | ||||
\(479\) | 7.52723 | + | 3.35134i | 0.343928 | + | 0.153127i | 0.571430 | − | 0.820651i | \(-0.306389\pi\) |
−0.227502 | + | 0.973778i | \(0.573056\pi\) | |||||||
\(480\) | 3.46181 | − | 20.6225i | 0.158009 | − | 0.941285i | ||||
\(481\) | −14.0386 | + | 6.25039i | −0.640105 | + | 0.284993i | ||||
\(482\) | −25.4989 | + | 44.1655i | −1.16145 | + | 2.01168i | ||||
\(483\) | −41.2441 | + | 23.9840i | −1.87667 | + | 1.09131i | ||||
\(484\) | 23.0950 | − | 4.90900i | 1.04977 | − | 0.223136i | ||||
\(485\) | 2.86970 | − | 10.2040i | 0.130306 | − | 0.463338i | ||||
\(486\) | −33.9060 | + | 11.6041i | −1.53801 | + | 0.526374i | ||||
\(487\) | 4.69938 | − | 14.4632i | 0.212949 | − | 0.655391i | −0.786343 | − | 0.617790i | \(-0.788028\pi\) |
0.999293 | − | 0.0376012i | \(-0.0119716\pi\) | |||||||
\(488\) | 18.2285 | − | 3.87460i | 0.825167 | − | 0.175395i | ||||
\(489\) | 7.04419 | + | 0.718176i | 0.318549 | + | 0.0324771i | ||||
\(490\) | −16.1453 | + | 7.97677i | −0.729369 | + | 0.360354i | ||||
\(491\) | 1.05842 | + | 1.17550i | 0.0477660 | + | 0.0530495i | 0.766554 | − | 0.642179i | \(-0.221970\pi\) |
−0.718788 | + | 0.695229i | \(0.755303\pi\) | |||||||
\(492\) | −22.3960 | − | 12.8374i | −1.00969 | − | 0.578754i | ||||
\(493\) | −3.35369 | − | 5.80876i | −0.151043 | − | 0.261613i | ||||
\(494\) | 6.00653 | + | 4.36400i | 0.270246 | + | 0.196345i | ||||
\(495\) | −12.9244 | − | 2.12815i | −0.580909 | − | 0.0956533i | ||||
\(496\) | 1.38875 | − | 1.00899i | 0.0623569 | − | 0.0453049i | ||||
\(497\) | 29.3773 | + | 13.0796i | 1.31775 | + | 0.586701i | ||||
\(498\) | 10.7791 | − | 14.9338i | 0.483022 | − | 0.669200i | ||||
\(499\) | −15.4879 | + | 26.8258i | −0.693333 | + | 1.20089i | 0.277407 | + | 0.960753i | \(0.410525\pi\) |
−0.970739 | + | 0.240135i | \(0.922808\pi\) | |||||||
\(500\) | −31.5229 | + | 18.8486i | −1.40975 | + | 0.842937i | ||||
\(501\) | −17.1404 | − | 23.4378i | −0.765778 | − | 1.04712i | ||||
\(502\) | −11.7463 | + | 13.0456i | −0.524262 | + | 0.582251i | ||||
\(503\) | 24.3048 | − | 17.6585i | 1.08370 | − | 0.787354i | 0.105375 | − | 0.994433i | \(-0.466396\pi\) |
0.978324 | + | 0.207079i | \(0.0663957\pi\) | |||||||
\(504\) | −9.04620 | − | 27.2617i | −0.402950 | − | 1.21433i | ||||
\(505\) | −21.0360 | + | 16.6086i | −0.936088 | + | 0.739072i | ||||
\(506\) | 3.98812 | − | 37.9444i | 0.177294 | − | 1.68684i | ||||
\(507\) | −0.515683 | + | 0.0558266i | −0.0229023 | + | 0.00247935i | ||||
\(508\) | −25.2573 | + | 11.2453i | −1.12061 | + | 0.498928i | ||||
\(509\) | 13.6021 | + | 15.1067i | 0.602903 | + | 0.669592i | 0.964909 | − | 0.262584i | \(-0.0845747\pi\) |
−0.362006 | + | 0.932176i | \(0.617908\pi\) | |||||||
\(510\) | 6.74687 | − | 4.29341i | 0.298756 | − | 0.190115i | ||||
\(511\) | 1.73171 | − | 1.92326i | 0.0766062 | − | 0.0850799i | ||||
\(512\) | −0.774259 | + | 2.38292i | −0.0342177 | + | 0.105311i | ||||
\(513\) | 0.0440432 | + | 4.70860i | 0.00194455 | + | 0.207890i | ||||
\(514\) | 5.60810 | + | 17.2599i | 0.247363 | + | 0.761304i | ||||
\(515\) | 4.77931 | − | 1.21754i | 0.210601 | − | 0.0536512i | ||||
\(516\) | 7.50908 | + | 6.71893i | 0.330569 | + | 0.295784i | ||||
\(517\) | 13.7987 | − | 6.14360i | 0.606868 | − | 0.270195i | ||||
\(518\) | 16.0634 | − | 27.8227i | 0.705787 | − | 1.22246i | ||||
\(519\) | 9.89220 | + | 5.67022i | 0.434219 | + | 0.248895i | ||||
\(520\) | 22.8137 | − | 5.81185i | 1.00045 | − | 0.254867i | ||||
\(521\) | −14.7886 | + | 10.7445i | −0.647898 | + | 0.470726i | −0.862555 | − | 0.505964i | \(-0.831137\pi\) |
0.214656 | + | 0.976690i | \(0.431137\pi\) | |||||||
\(522\) | 34.2234 | − | 38.4889i | 1.49792 | − | 1.68461i | ||||
\(523\) | 0.681075 | + | 2.09613i | 0.0297813 | + | 0.0916575i | 0.964842 | − | 0.262829i | \(-0.0846556\pi\) |
−0.935061 | + | 0.354487i | \(0.884656\pi\) | |||||||
\(524\) | −23.8307 | − | 41.2760i | −1.04105 | − | 1.80315i | ||||
\(525\) | 14.5548 | − | 23.9979i | 0.635222 | − | 1.04735i | ||||
\(526\) | 10.6950 | − | 18.5243i | 0.466323 | − | 0.807696i | ||||
\(527\) | −6.80626 | − | 1.44671i | −0.296485 | − | 0.0630199i | ||||
\(528\) | 0.713416 | + | 0.229346i | 0.0310475 | + | 0.00998102i | ||||
\(529\) | 44.9847 | + | 20.0285i | 1.95586 | + | 0.870804i | ||||
\(530\) | 37.7191 | − | 1.50983i | 1.63842 | − | 0.0655827i | ||||
\(531\) | 37.9390 | + | 16.6088i | 1.64641 | + | 0.720762i | ||||
\(532\) | −9.64795 | −0.418292 | ||||||||
\(533\) | −1.69005 | + | 16.0798i | −0.0732042 | + | 0.696491i | ||||
\(534\) | 5.57692 | − | 26.6456i | 0.241337 | − | 1.15307i | ||||
\(535\) | −1.49009 | − | 10.2239i | −0.0644223 | − | 0.442019i | ||||
\(536\) | 35.0318 | + | 7.44624i | 1.51314 | + | 0.321629i | ||||
\(537\) | 14.0822 | + | 12.6004i | 0.607690 | + | 0.543746i | ||||
\(538\) | 34.4220 | − | 7.31662i | 1.48404 | − | 0.315442i | ||||
\(539\) | 2.11377 | + | 6.50552i | 0.0910465 | + | 0.280212i | ||||
\(540\) | 29.5908 | + | 24.1095i | 1.27339 | + | 1.03751i | ||||
\(541\) | 0.946056 | − | 2.91166i | 0.0406741 | − | 0.125182i | −0.928658 | − | 0.370938i | \(-0.879036\pi\) |
0.969332 | + | 0.245756i | \(0.0790362\pi\) | |||||||
\(542\) | −1.84219 | + | 17.5273i | −0.0791289 | + | 0.752861i | ||||
\(543\) | 6.09470 | − | 13.8046i | 0.261549 | − | 0.592412i | ||||
\(544\) | 4.43019 | − | 1.97245i | 0.189943 | − | 0.0845679i | ||||
\(545\) | −29.8579 | − | 5.10788i | −1.27897 | − | 0.218797i | ||||
\(546\) | −34.0807 | + | 30.8793i | −1.45852 | + | 1.32151i | ||||
\(547\) | 4.66778 | + | 2.07823i | 0.199580 | + | 0.0888586i | 0.504093 | − | 0.863650i | \(-0.331827\pi\) |
−0.304513 | + | 0.952508i | \(0.598494\pi\) | |||||||
\(548\) | −6.11682 | − | 18.8256i | −0.261297 | − | 0.804191i | ||||
\(549\) | 5.73551 | − | 18.0339i | 0.244786 | − | 0.769670i | ||||
\(550\) | 8.61967 | + | 20.7233i | 0.367544 | + | 0.883644i | ||||
\(551\) | −3.38369 | − | 5.86072i | −0.144150 | − | 0.249675i | ||||
\(552\) | −25.4542 | + | 35.2654i | −1.08340 | + | 1.50099i | ||||
\(553\) | 0.0825447 | + | 0.785361i | 0.00351016 | + | 0.0333969i | ||||
\(554\) | −0.124050 | − | 1.18026i | −0.00527039 | − | 0.0501444i | ||||
\(555\) | 0.719978 | + | 16.6849i | 0.0305614 | + | 0.708236i | ||||
\(556\) | 2.83677 | − | 26.9900i | 0.120306 | − | 1.14463i | ||||
\(557\) | 23.7393 | 1.00587 | 0.502934 | − | 0.864325i | \(-0.332254\pi\) | ||||
0.502934 | + | 0.864325i | \(0.332254\pi\) | |||||||
\(558\) | −5.91625 | − | 53.1020i | −0.250455 | − | 2.24799i | ||||
\(559\) | 1.95023 | − | 6.00218i | 0.0824858 | − | 0.253865i | ||||
\(560\) | −1.02585 | + | 1.23530i | −0.0433501 | + | 0.0522011i | ||||
\(561\) | −1.24416 | − | 2.77115i | −0.0525286 | − | 0.116998i | ||||
\(562\) | 4.04857 | + | 4.49640i | 0.170779 | + | 0.189669i | ||||
\(563\) | 13.0121 | + | 14.4514i | 0.548394 | + | 0.609054i | 0.952082 | − | 0.305843i | \(-0.0989384\pi\) |
−0.403687 | + | 0.914897i | \(0.632272\pi\) | |||||||
\(564\) | −43.7881 | − | 4.46433i | −1.84381 | − | 0.187982i | ||||
\(565\) | 24.1705 | − | 29.1054i | 1.01686 | − | 1.22447i | ||||
\(566\) | 21.7810 | − | 67.0350i | 0.915524 | − | 2.81769i | ||||
\(567\) | −28.6038 | − | 5.70804i | −1.20125 | − | 0.239715i | ||||
\(568\) | 29.3141 | 1.22999 | ||||||||
\(569\) | 0.0692037 | − | 0.658430i | 0.00290117 | − | 0.0276028i | −0.992976 | − | 0.118320i | \(-0.962249\pi\) |
0.995877 | + | 0.0907170i | \(0.0289159\pi\) | |||||||
\(570\) | 6.80723 | − | 4.33182i | 0.285123 | − | 0.181440i | ||||
\(571\) | −1.92300 | − | 18.2961i | −0.0804749 | − | 0.765668i | −0.958122 | − | 0.286360i | \(-0.907555\pi\) |
0.877647 | − | 0.479307i | \(-0.159112\pi\) | |||||||
\(572\) | −2.38949 | − | 22.7344i | −0.0999094 | − | 0.950575i | ||||
\(573\) | −7.09749 | − | 15.8084i | −0.296502 | − | 0.660405i | ||||
\(574\) | −16.9009 | − | 29.2732i | −0.705430 | − | 1.22184i | ||||
\(575\) | −42.3617 | + | 3.39676i | −1.76660 | + | 0.141655i | ||||
\(576\) | 25.9844 | + | 28.4992i | 1.08268 | + | 1.18747i | ||||
\(577\) | −2.40887 | − | 7.41374i | −0.100283 | − | 0.308638i | 0.888312 | − | 0.459241i | \(-0.151878\pi\) |
−0.988594 | + | 0.150603i | \(0.951878\pi\) | |||||||
\(578\) | −34.0087 | − | 15.1417i | −1.41458 | − | 0.629810i | ||||
\(579\) | −19.0512 | − | 6.12452i | −0.791742 | − | 0.254526i | ||||
\(580\) | −54.0702 | − | 9.24995i | −2.24514 | − | 0.384083i | ||||
\(581\) | 13.6942 | − | 6.09705i | 0.568131 | − | 0.252948i | ||||
\(582\) | 11.1423 | + | 15.2360i | 0.461864 | + | 0.631551i | ||||
\(583\) | 1.49881 | − | 14.2602i | 0.0620744 | − | 0.590599i | ||||
\(584\) | 0.729022 | − | 2.24370i | 0.0301671 | − | 0.0928449i | ||||
\(585\) | 6.32862 | − | 23.0537i | 0.261656 | − | 0.953153i | ||||
\(586\) | 20.8302 | + | 64.1087i | 0.860487 | + | 2.64831i | ||||
\(587\) | −14.2893 | + | 3.03728i | −0.589782 | + | 0.125362i | −0.493129 | − | 0.869956i | \(-0.664147\pi\) |
−0.0966531 | + | 0.995318i | \(0.530814\pi\) | |||||||
\(588\) | 4.08345 | − | 19.5100i | 0.168399 | − | 0.804581i | ||||
\(589\) | −6.86714 | − | 1.45966i | −0.282956 | − | 0.0601441i | ||||
\(590\) | −10.2348 | − | 70.2239i | −0.421361 | − | 2.89107i | ||||
\(591\) | −16.8872 | − | 15.1103i | −0.694647 | − | 0.621553i | ||||
\(592\) | 0.0998717 | − | 0.950216i | 0.00410470 | − | 0.0390536i | ||||
\(593\) | −17.7208 | −0.727707 | −0.363853 | − | 0.931456i | \(-0.618539\pi\) | ||||
−0.363853 | + | 0.931456i | \(0.618539\pi\) | |||||||
\(594\) | 17.1871 | − | 15.7689i | 0.705195 | − | 0.647006i | ||||
\(595\) | 6.50368 | − | 0.260330i | 0.266625 | − | 0.0106725i | ||||
\(596\) | −32.8517 | − | 14.6265i | −1.34566 | − | 0.599125i | ||||
\(597\) | −0.952534 | − | 4.41361i | −0.0389846 | − | 0.180637i | ||||
\(598\) | 68.1139 | + | 14.4781i | 2.78538 | + | 0.592052i | ||||
\(599\) | 7.37178 | − | 12.7683i | 0.301203 | − | 0.521699i | −0.675206 | − | 0.737629i | \(-0.735945\pi\) |
0.976409 | + | 0.215931i | \(0.0692785\pi\) | |||||||
\(600\) | 3.22301 | − | 25.3812i | 0.131579 | − | 1.03618i | ||||
\(601\) | 6.78135 | + | 11.7456i | 0.276617 | + | 0.479115i | 0.970542 | − | 0.240933i | \(-0.0774533\pi\) |
−0.693925 | + | 0.720048i | \(0.744120\pi\) | |||||||
\(602\) | 4.07718 | + | 12.5483i | 0.166173 | + | 0.511429i | ||||
\(603\) | 24.1662 | − | 27.1782i | 0.984125 | − | 1.10678i | ||||
\(604\) | −55.8242 | + | 40.5587i | −2.27146 | + | 1.65031i | ||||
\(605\) | −15.5740 | + | 3.96751i | −0.633172 | + | 0.161302i | ||||
\(606\) | −0.148807 | − | 47.7276i | −0.00604487 | − | 1.93880i | ||||
\(607\) | −16.6848 | + | 28.8989i | −0.677216 | + | 1.17297i | 0.298600 | + | 0.954378i | \(0.403480\pi\) |
−0.975816 | + | 0.218594i | \(0.929853\pi\) | |||||||
\(608\) | 4.46982 | − | 1.99009i | 0.181275 | − | 0.0807088i | ||||
\(609\) | 39.8269 | − | 13.0780i | 1.61387 | − | 0.529946i | ||||
\(610\) | −31.4231 | + | 8.00511i | −1.27228 | + | 0.324117i | ||||
\(611\) | 8.51901 | + | 26.2188i | 0.344642 | + | 1.06070i | ||||
\(612\) | −0.870346 | + | 8.80884i | −0.0351816 | + | 0.356076i | ||||
\(613\) | 5.32757 | − | 16.3966i | 0.215178 | − | 0.662251i | −0.783962 | − | 0.620808i | \(-0.786805\pi\) |
0.999141 | − | 0.0414429i | \(-0.0131955\pi\) | |||||||
\(614\) | 14.3909 | − | 15.9827i | 0.580771 | − | 0.645011i | ||||
\(615\) | 15.5817 | + | 8.12137i | 0.628313 | + | 0.327485i | ||||
\(616\) | 12.5095 | + | 13.8932i | 0.504022 | + | 0.559773i | ||||
\(617\) | 22.8977 | − | 10.1947i | 0.921827 | − | 0.410424i | 0.109740 | − | 0.993960i | \(-0.464998\pi\) |
0.812087 | + | 0.583537i | \(0.198332\pi\) | |||||||
\(618\) | −3.54715 | + | 8.03435i | −0.142687 | + | 0.323189i | ||||
\(619\) | −1.63152 | + | 15.5229i | −0.0655762 | + | 0.623916i | 0.911540 | + | 0.411211i | \(0.134894\pi\) |
−0.977116 | + | 0.212705i | \(0.931773\pi\) | |||||||
\(620\) | −44.6648 | + | 35.2643i | −1.79378 | + | 1.41625i | ||||
\(621\) | 18.3400 | + | 40.1768i | 0.735961 | + | 1.61224i | ||||
\(622\) | −38.3639 | + | 27.8730i | −1.53825 | + | 1.11761i | ||||
\(623\) | 14.8259 | − | 16.4658i | 0.593986 | − | 0.659688i | ||||
\(624\) | −0.552403 | + | 1.25120i | −0.0221138 | + | 0.0500881i | ||||
\(625\) | 20.9265 | − | 13.6777i | 0.837062 | − | 0.547109i | ||||
\(626\) | −23.4926 | + | 40.6903i | −0.938952 | + | 1.62631i | ||||
\(627\) | −1.25529 | − | 2.79594i | −0.0501316 | − | 0.111659i | ||||
\(628\) | −19.5443 | − | 8.70167i | −0.779902 | − | 0.347235i | ||||
\(629\) | −3.13330 | + | 2.27647i | −0.124933 | + | 0.0907690i | ||||
\(630\) | 17.6253 | + | 46.7686i | 0.702209 | + | 1.86331i | ||||
\(631\) | −4.14912 | − | 3.01451i | −0.165174 | − | 0.120006i | 0.502128 | − | 0.864793i | \(-0.332551\pi\) |
−0.667301 | + | 0.744788i | \(0.732551\pi\) | |||||||
\(632\) | 0.359931 | + | 0.623419i | 0.0143173 | + | 0.0247983i | ||||
\(633\) | 0.144127 | + | 46.2264i | 0.00572852 | + | 1.83733i | ||||
\(634\) | −0.134640 | − | 0.149533i | −0.00534724 | − | 0.00593872i | ||||
\(635\) | 16.8721 | − | 8.33585i | 0.669548 | − | 0.330798i | ||||
\(636\) | −24.4542 | + | 33.8800i | −0.969673 | + | 1.34343i | ||||
\(637\) | −12.2117 | + | 2.59568i | −0.483846 | + | 0.102845i | ||||
\(638\) | −10.3589 | + | 31.8814i | −0.410112 | + | 1.26220i | ||||
\(639\) | 14.7227 | − | 25.8717i | 0.582421 | − | 1.02347i | ||||
\(640\) | 11.3541 | − | 40.3726i | 0.448812 | − | 1.59587i | ||||
\(641\) | −2.92267 | + | 0.621233i | −0.115439 | + | 0.0245372i | −0.265269 | − | 0.964175i | \(-0.585461\pi\) |
0.149830 | + | 0.988712i | \(0.452127\pi\) | |||||||
\(642\) | 15.9622 | + | 9.14955i | 0.629978 | + | 0.361104i | ||||
\(643\) | −14.7308 | + | 25.5144i | −0.580925 | + | 1.00619i | 0.414445 | + | 0.910074i | \(0.363976\pi\) |
−0.995370 | + | 0.0961173i | \(0.969358\pi\) | |||||||
\(644\) | −82.6667 | + | 36.8056i | −3.25752 | + | 1.45034i | ||||
\(645\) | −5.29007 | − | 4.36532i | −0.208296 | − | 0.171884i | ||||
\(646\) | 1.70941 | + | 0.761078i | 0.0672558 | + | 0.0299442i | ||||
\(647\) | 18.7975 | − | 13.6572i | 0.739005 | − | 0.536919i | −0.153394 | − | 0.988165i | \(-0.549020\pi\) |
0.892399 | + | 0.451246i | \(0.149020\pi\) | |||||||
\(648\) | −25.9367 | + | 5.85202i | −1.01889 | + | 0.229889i | ||||
\(649\) | −26.9558 | −1.05811 | ||||||||
\(650\) | −39.2603 | + | 11.6924i | −1.53992 | + | 0.458613i | ||||
\(651\) | 17.5640 | − | 39.7827i | 0.688386 | − | 1.55921i | ||||
\(652\) | 13.1361 | + | 2.79216i | 0.514449 | + | 0.109349i | ||||
\(653\) | −0.136446 | − | 1.29820i | −0.00533956 | − | 0.0508025i | 0.991528 | − | 0.129896i | \(-0.0414642\pi\) |
−0.996867 | + | 0.0790931i | \(0.974798\pi\) | |||||||
\(654\) | 39.9738 | − | 36.2188i | 1.56310 | − | 1.41627i | ||||
\(655\) | 17.3317 | + | 27.4243i | 0.677205 | + | 1.07155i | ||||
\(656\) | −0.813274 | − | 0.590878i | −0.0317530 | − | 0.0230699i | ||||
\(657\) | −1.61408 | − | 1.77029i | −0.0629712 | − | 0.0690656i | ||||
\(658\) | −46.6272 | − | 33.8767i | −1.81772 | − | 1.32065i | ||||
\(659\) | 21.2157 | − | 4.50954i | 0.826447 | − | 0.175667i | 0.224776 | − | 0.974411i | \(-0.427835\pi\) |
0.601671 | + | 0.798744i | \(0.294502\pi\) | |||||||
\(660\) | −23.9361 | − | 6.65119i | −0.931712 | − | 0.258897i | ||||
\(661\) | 5.58421 | + | 1.18696i | 0.217201 | + | 0.0461674i | 0.315227 | − | 0.949016i | \(-0.397920\pi\) |
−0.0980260 | + | 0.995184i | \(0.531253\pi\) | |||||||
\(662\) | 34.7295 | + | 38.5710i | 1.34980 | + | 1.49910i | ||||
\(663\) | 5.26741 | − | 1.72966i | 0.204569 | − | 0.0671744i | ||||
\(664\) | 9.14349 | − | 10.1549i | 0.354836 | − | 0.394085i | ||||
\(665\) | 6.56186 | − | 0.262659i | 0.254458 | − | 0.0101855i | ||||
\(666\) | −24.1681 | − | 17.3299i | −0.936494 | − | 0.671521i | ||||
\(667\) | −51.3504 | − | 37.3082i | −1.98830 | − | 1.44458i | ||||
\(668\) | −27.5360 | − | 47.6937i | −1.06540 | − | 1.84533i | ||||
\(669\) | −32.2543 | − | 18.4882i | −1.24702 | − | 0.714795i | ||||
\(670\) | −61.4257 | − | 10.5083i | −2.37308 | − | 0.405970i | ||||
\(671\) | 1.28748 | + | 12.2496i | 0.0497026 | + | 0.472889i | ||||
\(672\) | 6.39370 | + | 29.6255i | 0.246642 | + | 1.14283i | ||||
\(673\) | −2.27945 | + | 2.53159i | −0.0878664 | + | 0.0975855i | −0.785474 | − | 0.618894i | \(-0.787581\pi\) |
0.697608 | + | 0.716480i | \(0.254248\pi\) | |||||||
\(674\) | 7.64505 | 0.294476 | ||||||||
\(675\) | −20.7820 | − | 15.5920i | −0.799898 | − | 0.600136i | ||||
\(676\) | −0.983780 | −0.0378377 | ||||||||
\(677\) | −25.2631 | + | 28.0575i | −0.970939 | + | 1.07834i | 0.0259612 | + | 0.999663i | \(0.491735\pi\) |
−0.996900 | + | 0.0786743i | \(0.974931\pi\) | |||||||
\(678\) | 14.2126 | + | 65.8547i | 0.545831 | + | 2.52913i | ||||
\(679\) | 1.60586 | + | 15.2787i | 0.0616273 | + | 0.586345i | ||||
\(680\) | 5.31954 | − | 2.62818i | 0.203995 | − | 0.100786i | ||||
\(681\) | 7.90517 | + | 4.53125i | 0.302927 | + | 0.173638i | ||||
\(682\) | 17.3881 | + | 30.1170i | 0.665824 | + | 1.15324i | ||||
\(683\) | 10.4985 | + | 7.62763i | 0.401715 | + | 0.291863i | 0.770239 | − | 0.637755i | \(-0.220137\pi\) |
−0.368524 | + | 0.929618i | \(0.620137\pi\) | |||||||
\(684\) | −0.878132 | + | 8.88764i | −0.0335762 | + | 0.339827i | ||||
\(685\) | 4.67274 | + | 12.6373i | 0.178536 | + | 0.482848i | ||||
\(686\) | −17.4329 | + | 19.3612i | −0.665593 | + | 0.739216i | ||||
\(687\) | −28.7972 | + | 9.45613i | −1.09868 | + | 0.360774i | ||||
\(688\) | 0.262559 | + | 0.291602i | 0.0100100 | + | 0.0111172i | ||||
\(689\) | 25.5985 | + | 5.44112i | 0.975224 | + | 0.207290i | ||||
\(690\) | 41.8012 | − | 63.0850i | 1.59135 | − | 2.40161i | ||||
\(691\) | −47.5179 | + | 10.1002i | −1.80767 | + | 0.384232i | −0.983325 | − | 0.181859i | \(-0.941788\pi\) |
−0.824343 | + | 0.566091i | \(0.808455\pi\) | |||||||
\(692\) | 17.4955 | + | 12.7112i | 0.665078 | + | 0.483208i | ||||
\(693\) | 18.5445 | − | 4.06278i | 0.704447 | − | 0.154332i | ||||
\(694\) | 25.6523 | + | 18.6375i | 0.973749 | + | 0.707470i | ||||
\(695\) | −1.19458 | + | 18.4339i | −0.0453131 | + | 0.699239i | ||||
\(696\) | 28.3177 | − | 25.6577i | 1.07338 | − | 0.972551i | ||||
\(697\) | 0.425941 | + | 4.05256i | 0.0161337 | + | 0.153502i | ||||
\(698\) | −33.5093 | − | 7.12262i | −1.26835 | − | 0.269595i | ||||
\(699\) | −6.88118 | + | 15.5860i | −0.260270 | + | 0.589516i | ||||
\(700\) | 32.3435 | − | 42.2798i | 1.22247 | − | 1.59803i | ||||
\(701\) | 32.6872 | 1.23458 | 0.617290 | − | 0.786736i | \(-0.288231\pi\) | ||||
0.617290 | + | 0.786736i | \(0.288231\pi\) | |||||||
\(702\) | 25.3439 | + | 34.2055i | 0.956545 | + | 1.29100i | ||||
\(703\) | −3.16133 | + | 2.29684i | −0.119232 | + | 0.0866269i | ||||
\(704\) | −22.9316 | − | 10.2098i | −0.864268 | − | 0.384797i | ||||
\(705\) | 29.9032 | + | 1.84422i | 1.12622 | + | 0.0694574i | ||||
\(706\) | −19.8475 | + | 8.83667i | −0.746970 | + | 0.332573i | ||||
\(707\) | 19.4230 | − | 33.6416i | 0.730476 | − | 1.26522i | ||||
\(708\) | 68.1482 | + | 39.0626i | 2.56117 | + | 1.46806i | ||||
\(709\) | −9.83705 | + | 2.09093i | −0.369438 | + | 0.0785265i | −0.388890 | − | 0.921284i | \(-0.627141\pi\) |
0.0194515 | + | 0.999811i | \(0.493808\pi\) | |||||||
\(710\) | −50.9664 | + | 2.04009i | −1.91274 | + | 0.0765633i | ||||
\(711\) | 0.730983 | − | 0.00455822i | 0.0274140 | − | 0.000170947i | ||||
\(712\) | 6.24146 | − | 19.2092i | 0.233909 | − | 0.719897i | ||||
\(713\) | −64.4083 | + | 13.6904i | −2.41211 | + | 0.512709i | ||||
\(714\) | −6.78355 | + | 9.39823i | −0.253868 | + | 0.351720i | ||||
\(715\) | 2.24409 | + | 15.3973i | 0.0839243 | + | 0.575827i | ||||
\(716\) | 23.9815 | + | 26.6342i | 0.896231 | + | 0.995365i | ||||
\(717\) | −0.0900006 | − | 28.8663i | −0.00336113 | − | 1.07803i | ||||
\(718\) | −2.24371 | − | 3.88622i | −0.0837346 | − | 0.145033i | ||||
\(719\) | −1.59555 | − | 1.15923i | −0.0595039 | − | 0.0432321i | 0.557636 | − | 0.830086i | \(-0.311709\pi\) |
−0.617140 | + | 0.786854i | \(0.711709\pi\) | |||||||
\(720\) | 1.04458 | + | 1.05744i | 0.0389293 | + | 0.0394086i | ||||
\(721\) | −5.78298 | + | 4.20158i | −0.215370 | + | 0.156475i | ||||
\(722\) | −38.1787 | − | 16.9982i | −1.42086 | − | 0.632609i | ||||
\(723\) | 15.7373 | + | 35.0519i | 0.585275 | + | 1.30360i | ||||
\(724\) | 14.3103 | − | 24.7861i | 0.531837 | − | 0.921169i | ||||
\(725\) | 37.0266 | + | 4.81914i | 1.37513 | + | 0.178978i | ||||
\(726\) | 11.5588 | − | 26.1810i | 0.428989 | − | 0.971667i | ||||
\(727\) | 4.42436 | − | 4.91374i | 0.164090 | − | 0.182241i | −0.655492 | − | 0.755202i | \(-0.727539\pi\) |
0.819582 | + | 0.572961i | \(0.194205\pi\) | |||||||
\(728\) | −27.6047 | + | 20.0560i | −1.02310 | + | 0.743326i | ||||
\(729\) | −7.86166 | + | 25.8301i | −0.291173 | + | 0.956671i | ||||
\(730\) | −1.11135 | + | 3.95171i | −0.0411330 | + | 0.146259i | ||||
\(731\) | 0.166260 | − | 1.58186i | 0.00614934 | − | 0.0585071i | ||||
\(732\) | 14.4963 | − | 32.8344i | 0.535800 | − | 1.21359i | ||||
\(733\) | 12.7008 | − | 5.65477i | 0.469116 | − | 0.208864i | −0.158543 | − | 0.987352i | \(-0.550680\pi\) |
0.627659 | + | 0.778488i | \(0.284013\pi\) | |||||||
\(734\) | −11.1840 | − | 12.4211i | −0.412808 | − | 0.458470i | ||||
\(735\) | −2.24613 | + | 13.3805i | −0.0828497 | + | 0.493548i | ||||
\(736\) | 30.7069 | − | 34.1035i | 1.13187 | − | 1.25707i | ||||
\(737\) | −7.31475 | + | 22.5125i | −0.269442 | + | 0.829258i | ||||
\(738\) | −28.5046 | + | 12.9047i | −1.04927 | + | 0.475027i | ||||
\(739\) | −0.707775 | − | 2.17831i | −0.0260359 | − | 0.0801304i | 0.937194 | − | 0.348808i | \(-0.113413\pi\) |
−0.963230 | + | 0.268677i | \(0.913413\pi\) | |||||||
\(740\) | −2.04834 | + | 31.6085i | −0.0752984 | + | 1.16195i | ||||
\(741\) | 5.31453 | − | 1.74513i | 0.195234 | − | 0.0641090i | ||||
\(742\) | −49.9822 | + | 22.2535i | −1.83490 | + | 0.816951i | ||||
\(743\) | −12.7978 | + | 22.1664i | −0.469506 | + | 0.813207i | −0.999392 | − | 0.0348611i | \(-0.988901\pi\) |
0.529887 | + | 0.848068i | \(0.322234\pi\) | |||||||
\(744\) | −0.123598 | − | 39.6420i | −0.00453131 | − | 1.45335i | ||||
\(745\) | 22.7416 | + | 9.05356i | 0.833188 | + | 0.331697i | ||||
\(746\) | 24.2038 | − | 17.5851i | 0.886164 | − | 0.643836i | ||||
\(747\) | −4.37016 | − | 13.1700i | −0.159896 | − | 0.481864i | ||||
\(748\) | −1.78034 | − | 5.47932i | −0.0650956 | − | 0.200344i | ||||
\(749\) | 7.48734 | + | 12.9684i | 0.273581 | + | 0.473857i | ||||
\(750\) | −3.83724 | + | 44.3529i | −0.140116 | + | 1.61954i | ||||
\(751\) | 18.1894 | − | 31.5050i | 0.663742 | − | 1.14963i | −0.315883 | − | 0.948798i | \(-0.602301\pi\) |
0.979625 | − | 0.200836i | \(-0.0643660\pi\) | |||||||
\(752\) | −1.67658 | − | 0.356369i | −0.0611387 | − | 0.0129954i | ||||
\(753\) | 2.79013 | + | 12.9282i | 0.101678 | + | 0.471130i | ||||
\(754\) | −55.8931 | − | 24.8852i | −2.03551 | − | 0.906266i | ||||
\(755\) | 36.8635 | − | 29.1049i | 1.34160 | − | 1.05924i | ||||
\(756\) | −52.7707 | − | 16.6022i | −1.91925 | − | 0.603816i | ||||
\(757\) | 35.2024 | 1.27945 | 0.639727 | − | 0.768602i | \(-0.279048\pi\) | ||||
0.639727 | + | 0.768602i | \(0.279048\pi\) | |||||||
\(758\) | 0.213472 | − | 2.03105i | 0.00775364 | − | 0.0737710i | ||||
\(759\) | −21.4219 | − | 19.1677i | −0.777565 | − | 0.695745i | ||||
\(760\) | 5.36713 | − | 2.65169i | 0.194686 | − | 0.0961870i | ||||
\(761\) | 21.9059 | + | 4.65623i | 0.794087 | + | 0.168788i | 0.587056 | − | 0.809546i | \(-0.300287\pi\) |
0.207031 | + | 0.978334i | \(0.433620\pi\) | |||||||
\(762\) | −6.86525 | + | 32.8010i | −0.248702 | + | 1.18825i | ||||
\(763\) | 42.9440 | − | 9.12804i | 1.55468 | − | 0.330457i | ||||
\(764\) | −10.1562 | − | 31.2575i | −0.367438 | − | 1.13086i | ||||
\(765\) | 0.352133 | − | 6.01485i | 0.0127314 | − | 0.217467i | ||||
\(766\) | 13.3740 | − | 41.1608i | 0.483221 | − | 1.48720i | ||||
\(767\) | 5.14262 | − | 48.9287i | 0.185689 | − | 1.76671i | ||||
\(768\) | 17.7973 | + | 24.3359i | 0.642204 | + | 0.878147i | ||||
\(769\) | 6.82840 | − | 3.04020i | 0.246238 | − | 0.109632i | −0.279907 | − | 0.960027i | \(-0.590304\pi\) |
0.526145 | + | 0.850395i | \(0.323637\pi\) | |||||||
\(770\) | −22.7163 | − | 23.2846i | −0.818639 | − | 0.839118i | ||||
\(771\) | 13.0170 | + | 4.18467i | 0.468797 | + | 0.150707i | ||||
\(772\) | −34.6732 | − | 15.4375i | −1.24792 | − | 0.555608i | ||||
\(773\) | −5.32348 | − | 16.3840i | −0.191472 | − | 0.589291i | −1.00000 | 0.000832682i | \(-0.999735\pi\) | |
0.808527 | − | 0.588459i | \(-0.200265\pi\) | |||||||
\(774\) | 11.9305 | − | 2.61377i | 0.428833 | − | 0.0939498i | ||||
\(775\) | 29.4178 | − | 25.2003i | 1.05672 | − | 0.905221i | ||||
\(776\) | 7.00225 | + | 12.1283i | 0.251366 | + | 0.435379i | ||||
\(777\) | −9.91392 | − | 22.0815i | −0.355660 | − | 0.792169i | ||||
\(778\) | 7.80775 | + | 74.2858i | 0.279922 | + | 2.66328i | ||||
\(779\) | 0.429752 | + | 4.08882i | 0.0153975 | + | 0.146497i | ||||
\(780\) | 16.6394 | − | 42.1787i | 0.595786 | − | 1.51024i | ||||
\(781\) | −2.02521 | + | 19.2685i | −0.0724676 | + | 0.689483i | ||||
\(782\) | 17.5502 | 0.627593 | ||||||||
\(783\) | −8.42241 | − | 37.8787i | −0.300992 | − | 1.35367i | ||||
\(784\) | 0.239866 | − | 0.738233i | 0.00856666 | − | 0.0263655i | ||||
\(785\) | 13.5295 | + | 5.38619i | 0.482890 | + | 0.192241i | ||||
\(786\) | −57.4728 | − | 5.85952i | −2.04999 | − | 0.209002i | ||||
\(787\) | −0.344436 | − | 0.382535i | −0.0122778 | − | 0.0136359i | 0.736975 | − | 0.675920i | \(-0.236254\pi\) |
−0.749252 | + | 0.662284i | \(0.769587\pi\) | |||||||
\(788\) | −28.7584 | − | 31.9395i | −1.02448 | − | 1.13780i | ||||
\(789\) | −6.60065 | − | 14.7018i | −0.234989 | − | 0.523397i | ||||
\(790\) | −0.669175 | − | 1.05885i | −0.0238082 | − | 0.0376721i | ||||
\(791\) | −16.9445 | + | 52.1498i | −0.602477 | + | 1.85423i | ||||
\(792\) | 13.9369 | − | 10.2591i | 0.495227 | − | 0.364543i | ||||
\(793\) | −22.4804 | −0.798302 | ||||||||
\(794\) | −4.74549 | + | 45.1503i | −0.168411 | + | 1.60233i | ||||
\(795\) | 15.7097 | − | 23.7085i | 0.557165 | − | 0.840855i | ||||
\(796\) | −0.895157 | − | 8.51685i | −0.0317280 | − | 0.301872i | ||||
\(797\) | −0.835956 | − | 7.95359i | −0.0296111 | − | 0.281731i | −0.999301 | − | 0.0373908i | \(-0.988095\pi\) |
0.969690 | − | 0.244340i | \(-0.0785713\pi\) | |||||||
\(798\) | −6.84423 | + | 9.48230i | −0.242283 | + | 0.335670i | ||||
\(799\) | 3.47398 | + | 6.01711i | 0.122901 | + | 0.212870i | ||||
\(800\) | −6.26341 | + | 26.2594i | −0.221445 | + | 0.928411i | ||||
\(801\) | −13.8188 | − | 15.1562i | −0.488263 | − | 0.535517i | ||||
\(802\) | −7.42609 | − | 22.8552i | −0.262224 | − | 0.807044i | ||||
\(803\) | 1.42445 | + | 0.634206i | 0.0502677 | + | 0.0223806i | ||||
\(804\) | 51.1164 | − | 46.3148i | 1.80274 | − | 1.63340i | ||||
\(805\) | 55.2221 | − | 27.2831i | 1.94632 | − | 0.961604i | ||||
\(806\) | −57.9842 | + | 25.8162i | −2.04240 | + | 0.909337i | ||||
\(807\) | 10.7084 | − | 24.2548i | 0.376955 | − | 0.853808i | ||||
\(808\) | 3.70147 | − | 35.2172i | 0.130217 | − | 1.23894i | ||||
\(809\) | −1.50879 | + | 4.64358i | −0.0530463 | + | 0.163260i | −0.974070 | − | 0.226247i | \(-0.927354\pi\) |
0.921024 | + | 0.389506i | \(0.127354\pi\) | |||||||
\(810\) | 44.6872 | − | 11.9796i | 1.57015 | − | 0.420919i | ||||
\(811\) | −13.8925 | − | 42.7567i | −0.487832 | − | 1.50139i | −0.827838 | − | 0.560968i | \(-0.810429\pi\) |
0.340006 | − | 0.940423i | \(-0.389571\pi\) | |||||||
\(812\) | 77.7682 | − | 16.5301i | 2.72913 | − | 0.580094i | ||||
\(813\) | 9.89519 | + | 8.85396i | 0.347039 | + | 0.310522i | ||||
\(814\) | 18.9333 | + | 4.02440i | 0.663612 | + | 0.141055i | ||||
\(815\) | −9.01026 | − | 1.54141i | −0.315616 | − | 0.0539933i | ||||
\(816\) | −0.0706165 | + | 0.337394i | −0.00247207 | + | 0.0118111i | ||||
\(817\) | 0.167747 | − | 1.59601i | 0.00586873 | − | 0.0558373i | ||||
\(818\) | 16.9446 | 0.592454 | ||||||||
\(819\) | 3.83663 | + | 34.4361i | 0.134063 | + | 1.20329i | ||||
\(820\) | 27.7233 | + | 18.4946i | 0.968139 | + | 0.645858i | ||||
\(821\) | 48.5944 | + | 21.6356i | 1.69595 | + | 0.755088i | 0.999289 | + | 0.0376913i | \(0.0120004\pi\) |
0.696665 | + | 0.717396i | \(0.254666\pi\) | |||||||
\(822\) | −22.8417 | − | 7.34305i | −0.796694 | − | 0.256118i | ||||
\(823\) | −48.5319 | − | 10.3158i | −1.69171 | − | 0.359585i | −0.741445 | − | 0.671014i | \(-0.765859\pi\) |
−0.950269 | + | 0.311429i | \(0.899192\pi\) | |||||||
\(824\) | −3.25806 | + | 5.64312i | −0.113500 | + | 0.196588i | ||||
\(825\) | 16.4607 | + | 3.87203i | 0.573090 | + | 0.134807i | ||||
\(826\) | 51.4274 | + | 89.0749i | 1.78939 | + | 3.09931i | ||||
\(827\) | −3.93599 | − | 12.1137i | −0.136868 | − | 0.421236i | 0.859008 | − | 0.511962i | \(-0.171081\pi\) |
−0.995876 | + | 0.0907261i | \(0.971081\pi\) | |||||||
\(828\) | 26.3810 | + | 79.5021i | 0.916803 | + | 2.76289i | ||||
\(829\) | −42.5264 | + | 30.8972i | −1.47700 | + | 1.07310i | −0.498494 | + | 0.866893i | \(0.666113\pi\) |
−0.978507 | + | 0.206211i | \(0.933887\pi\) | |||||||
\(830\) | −15.1905 | + | 18.2919i | −0.527269 | + | 0.634923i | ||||
\(831\) | −0.775724 | − | 0.444645i | −0.0269096 | − | 0.0154246i | ||||
\(832\) | 22.9072 | − | 39.6764i | 0.794164 | − | 1.37553i | ||||
\(833\) | −2.87444 | + | 1.27978i | −0.0995935 | + | 0.0443419i | ||||
\(834\) | −24.5142 | − | 21.9347i | −0.848859 | − | 0.759537i | ||||
\(835\) | 20.0265 | + | 31.6883i | 0.693045 | + | 1.09662i | ||||
\(836\) | −1.79627 | − | 5.52834i | −0.0621251 | − | 0.191202i | ||||
\(837\) | −35.0490 | − | 19.8008i | −1.21147 | − | 0.684414i | ||||
\(838\) | −1.53424 | + | 4.72191i | −0.0529995 | + | 0.163116i | ||||
\(839\) | −25.1976 | + | 27.9848i | −0.869919 | + | 0.966142i | −0.999677 | − | 0.0254031i | \(-0.991913\pi\) |
0.129759 | + | 0.991546i | \(0.458580\pi\) | |||||||
\(840\) | 9.26628 | + | 35.9054i | 0.319717 | + | 1.23885i | ||||
\(841\) | 17.9111 | + | 19.8923i | 0.617625 | + | 0.685942i | ||||
\(842\) | 66.4130 | − | 29.5690i | 2.28874 | − | 1.01901i | ||||
\(843\) | 4.53207 | − | 0.490630i | 0.156093 | − | 0.0168982i | ||||
\(844\) | −9.16455 | + | 87.1949i | −0.315457 | + | 3.00137i | ||||
\(845\) | 0.669098 | − | 0.0267828i | 0.0230177 | − | 0.000921355i | ||||
\(846\) | −35.4509 | + | 39.8694i | −1.21883 | + | 1.37074i | ||||
\(847\) | 18.8446 | − | 13.6914i | 0.647508 | − | 0.470442i | ||||
\(848\) | −1.08877 | + | 1.20920i | −0.0373884 | + | 0.0415240i | ||||
\(849\) | −31.3478 | − | 42.8648i | −1.07585 | − | 1.47112i | ||||
\(850\) | −9.06582 | + | 4.93965i | −0.310955 | + | 0.169429i | ||||
\(851\) | −18.3251 | + | 31.7401i | −0.628178 | + | 1.08804i | ||||
\(852\) | 33.0427 | − | 45.7789i | 1.13203 | − | 1.56836i | ||||
\(853\) | −25.4196 | − | 11.3175i | −0.870349 | − | 0.387504i | −0.0775507 | − | 0.996988i | \(-0.524710\pi\) |
−0.792798 | + | 0.609484i | \(0.791377\pi\) | |||||||
\(854\) | 38.0221 | − | 27.6247i | 1.30109 | − | 0.945297i | ||||
\(855\) | 0.355283 | − | 6.06865i | 0.0121504 | − | 0.207544i | ||||
\(856\) | 11.0436 | + | 8.02363i | 0.377462 | + | 0.274242i | ||||
\(857\) | 17.5755 | + | 30.4416i | 0.600366 | + | 1.03986i | 0.992765 | + | 0.120070i | \(0.0383118\pi\) |
−0.392399 | + | 0.919795i | \(0.628355\pi\) | |||||||
\(858\) | −24.0392 | − | 13.7793i | −0.820685 | − | 0.470417i | ||||
\(859\) | −16.2497 | − | 18.0471i | −0.554431 | − | 0.615758i | 0.399153 | − | 0.916884i | \(-0.369304\pi\) |
−0.953584 | + | 0.301126i | \(0.902637\pi\) | |||||||
\(860\) | −9.08397 | − | 9.31121i | −0.309761 | − | 0.317510i | ||||
\(861\) | −25.3355 | − | 2.58303i | −0.863432 | − | 0.0880294i | ||||
\(862\) | 40.2248 | − | 8.55005i | 1.37006 | − | 0.291216i | ||||
\(863\) | −2.53910 | + | 7.81456i | −0.0864321 | + | 0.266011i | −0.984926 | − | 0.172975i | \(-0.944662\pi\) |
0.898494 | + | 0.438985i | \(0.144662\pi\) | |||||||
\(864\) | 27.8728 | − | 3.19340i | 0.948252 | − | 0.108642i | ||||
\(865\) | −12.2453 | − | 8.16897i | −0.416351 | − | 0.277753i | ||||
\(866\) | 72.8904 | − | 15.4933i | 2.47692 | − | 0.526485i | ||||
\(867\) | −24.2461 | + | 14.0995i | −0.823440 | + | 0.478843i | ||||
\(868\) | 41.2400 | − | 71.4297i | 1.39978 | − | 2.42448i | ||||
\(869\) | −0.434648 | + | 0.193518i | −0.0147444 | + | 0.00656465i | ||||
\(870\) | −47.4484 | + | 46.5800i | −1.60865 | + | 1.57921i | ||||
\(871\) | −39.4680 | − | 17.5723i | −1.33732 | − | 0.595413i | ||||
\(872\) | 32.3781 | − | 23.5240i | 1.09646 | − | 0.796624i | ||||
\(873\) | 14.2209 | − | 0.0886777i | 0.481303 | − | 0.00300129i | ||||
\(874\) | 17.7072 | 0.598954 | ||||||||
\(875\) | −20.8468 | + | 29.6363i | −0.704749 | + | 1.00189i | ||||
\(876\) | −2.68217 | − | 3.66759i | −0.0906220 | − | 0.123916i | ||||
\(877\) | −30.2206 | − | 6.42358i | −1.02048 | − | 0.216909i | −0.332855 | − | 0.942978i | \(-0.608012\pi\) |
−0.687622 | + | 0.726069i | \(0.741345\pi\) | |||||||
\(878\) | −2.90802 | − | 27.6680i | −0.0981410 | − | 0.933749i | ||||
\(879\) | 48.3492 | + | 15.5431i | 1.63078 | + | 0.524257i | ||||
\(880\) | −0.898830 | − | 0.357829i | −0.0302996 | − | 0.0120624i | ||||
\(881\) | −14.6144 | − | 10.6180i | −0.492373 | − | 0.357730i | 0.313723 | − | 0.949514i | \(-0.398424\pi\) |
−0.806096 | + | 0.591785i | \(0.798424\pi\) | |||||||
\(882\) | −16.2783 | − | 17.8537i | −0.548118 | − | 0.601166i | ||||
\(883\) | 22.5517 | + | 16.3848i | 0.758925 | + | 0.551391i | 0.898580 | − | 0.438809i | \(-0.144599\pi\) |
−0.139655 | + | 0.990200i | \(0.544599\pi\) | |||||||
\(884\) | 10.2854 | − | 2.18623i | 0.345936 | − | 0.0735310i | ||||
\(885\) | −47.4131 | − | 24.7123i | −1.59377 | − | 0.830696i | ||||
\(886\) | −24.2098 | − | 5.14595i | −0.813344 | − | 0.172882i | ||||
\(887\) | −15.2446 | − | 16.9308i | −0.511863 | − | 0.568482i | 0.430706 | − | 0.902492i | \(-0.358265\pi\) |
−0.942569 | + | 0.334011i | \(0.891598\pi\) | |||||||
\(888\) | −16.4432 | − | 14.7130i | −0.551799 | − | 0.493735i | ||||
\(889\) | −18.2508 | + | 20.2696i | −0.612112 | + | 0.679819i | ||||
\(890\) | −9.51476 | + | 33.8322i | −0.318935 | + | 1.13406i | ||||
\(891\) | −2.05474 | − | 17.4529i | −0.0688363 | − | 0.584693i | ||||
\(892\) | −57.0454 | − | 41.4459i | −1.91002 | − | 1.38771i | ||||
\(893\) | 3.50506 | + | 6.07093i | 0.117292 | + | 0.203156i | ||||
\(894\) | −37.6803 | + | 21.9116i | −1.26022 | + | 0.732835i | ||||
\(895\) | −17.0356 | − | 17.4618i | −0.569438 | − | 0.583684i | ||||
\(896\) | 6.35369 | + | 60.4513i | 0.212262 | + | 2.01954i | ||||
\(897\) | 38.8791 | − | 35.2270i | 1.29814 | − | 1.17620i | ||||
\(898\) | −41.7599 | + | 46.3791i | −1.39355 | + | 1.54769i | ||||
\(899\) | 57.8541 | 1.92954 | ||||||||
\(900\) | −36.0041 | − | 33.6429i | −1.20014 | − | 1.12143i | ||||
\(901\) | 6.59569 | 0.219734 | ||||||||
\(902\) | 13.6271 | − | 15.1345i | 0.453734 | − | 0.503922i | ||||
\(903\) | 9.46360 | + | 3.04232i | 0.314929 | + | 0.101242i | ||||
\(904\) | 5.22487 | + | 49.7113i | 0.173777 | + | 1.65337i | ||||
\(905\) | −9.05806 | + | 17.2474i | −0.301100 | + | 0.573322i | ||||
\(906\) | 0.260770 | + | 83.6380i | 0.00866351 | + | 2.77869i | ||||
\(907\) | −0.183281 | − | 0.317451i | −0.00608574 | − | 0.0105408i | 0.862966 | − | 0.505261i | \(-0.168604\pi\) |
−0.869052 | + | 0.494720i | \(0.835270\pi\) | |||||||
\(908\) | 13.9812 | + | 10.1579i | 0.463982 | + | 0.337103i | ||||
\(909\) | −29.2226 | − | 20.9543i | −0.969252 | − | 0.695010i | ||||
\(910\) | 46.5988 | − | 36.7912i | 1.54473 | − | 1.21962i | ||||
\(911\) | 36.2540 | − | 40.2641i | 1.20115 | − | 1.33401i | 0.272903 | − | 0.962042i | \(-0.412016\pi\) |
0.928245 | − | 0.371969i | \(-0.121317\pi\) | |||||||
\(912\) | −0.0712482 | + | 0.340412i | −0.00235926 | + | 0.0112722i | ||||
\(913\) | 6.04325 | + | 6.71171i | 0.200002 | + | 0.222125i | ||||
\(914\) | 35.1127 | + | 7.46344i | 1.16143 | + | 0.246869i | ||||
\(915\) | −8.96549 | + | 22.7263i | −0.296390 | + | 0.751309i | ||||
\(916\) | −56.2309 | + | 11.9522i | −1.85792 | + | 0.394913i | ||||
\(917\) | −38.0399 | − | 27.6376i | −1.25619 | − | 0.912674i | ||||
\(918\) | 8.04018 | + | 7.10437i | 0.265365 | + | 0.234479i | ||||
\(919\) | −29.1500 | − | 21.1787i | −0.961568 | − | 0.698620i | −0.00805385 | − | 0.999968i | \(-0.502564\pi\) |
−0.953514 | + | 0.301347i | \(0.902564\pi\) | |||||||
\(920\) | 35.8714 | − | 43.1954i | 1.18265 | − | 1.42411i | ||||
\(921\) | −3.41833 | − | 15.8390i | −0.112638 | − | 0.521912i | ||||
\(922\) | −1.80305 | − | 17.1549i | −0.0593803 | − | 0.564966i | ||||
\(923\) | −34.5889 | − | 7.35209i | −1.13851 | − | 0.241997i | ||||
\(924\) | 35.7973 | − | 3.87532i | 1.17764 | − | 0.127489i | ||||
\(925\) | 0.532615 | − | 21.5536i | 0.0175123 | − | 0.708679i | ||||
\(926\) | −76.1019 | −2.50086 | ||||||||
\(927\) | 3.34412 | + | 5.70967i | 0.109835 | + | 0.187530i | ||||
\(928\) | −32.6197 | + | 23.6996i | −1.07079 | + | 0.777977i | ||||
\(929\) | −9.18536 | − | 4.08959i | −0.301362 | − | 0.134175i | 0.250485 | − | 0.968121i | \(-0.419410\pi\) |
−0.551847 | + | 0.833946i | \(0.686077\pi\) | |||||||
\(930\) | 2.97375 | + | 68.9144i | 0.0975132 | + | 2.25979i | ||||
\(931\) | −2.90016 | + | 1.29123i | −0.0950487 | + | 0.0423184i | ||||
\(932\) | −16.1569 | + | 27.9846i | −0.529237 | + | 0.916666i | ||||
\(933\) | 0.111392 | + | 35.7271i | 0.00364680 | + | 1.16965i | ||||
\(934\) | −7.38543 | + | 1.56982i | −0.241659 | + | 0.0513661i | ||||
\(935\) | 1.36003 | + | 3.67818i | 0.0444778 | + | 0.120289i | ||||
\(936\) | 15.9630 | + | 27.2548i | 0.521766 | + | 0.890851i | ||||
\(937\) | −5.85784 | + | 18.0286i | −0.191367 | + | 0.588968i | 0.808633 | + | 0.588314i | \(0.200208\pi\) |
−1.00000 | 0.000653814i | \(0.999792\pi\) | ||||||||
\(938\) | 88.3474 | − | 18.7788i | 2.88465 | − | 0.613150i | ||||
\(939\) | 14.4990 | + | 32.2939i | 0.473156 | + | 1.05387i | ||||
\(940\) | 56.0096 | + | 9.58173i | 1.82683 | + | 0.312521i | ||||
\(941\) | −32.0921 | − | 35.6419i | −1.04617 | − | 1.16189i | −0.986515 | − | 0.163672i | \(-0.947666\pi\) |
−0.0596570 | − | 0.998219i | \(-0.519001\pi\) | |||||||
\(942\) | −22.4169 | + | 13.0358i | −0.730383 | + | 0.424729i | ||||
\(943\) | 19.2805 | + | 33.3948i | 0.627860 | + | 1.08749i | ||||
\(944\) | 2.47469 | + | 1.79797i | 0.0805444 | + | 0.0585189i | ||||
\(945\) | 36.3429 | + | 9.85499i | 1.18224 | + | 0.320583i | ||||
\(946\) | −6.43115 | + | 4.67250i | −0.209095 | + | 0.151916i | ||||
\(947\) | −35.1348 | − | 15.6430i | −1.14173 | − | 0.508330i | −0.253319 | − | 0.967383i | \(-0.581522\pi\) |
−0.888409 | + | 0.459052i | \(0.848189\pi\) | |||||||
\(948\) | 1.37929 | + | 0.140623i | 0.0447972 | + | 0.00456721i | ||||
\(949\) | −1.42293 | + | 2.46459i | −0.0461903 | + | 0.0800040i | ||||
\(950\) | −9.14692 | + | 4.98384i | −0.296765 | + | 0.161697i | ||||
\(951\) | −0.150719 | + | 0.0163165i | −0.00488741 | + | 0.000529099i | ||||
\(952\) | −5.75423 | + | 6.39072i | −0.186496 | + | 0.207124i | ||||
\(953\) | 26.9203 | − | 19.5587i | 0.872034 | − | 0.633569i | −0.0590983 | − | 0.998252i | \(-0.518823\pi\) |
0.931132 | + | 0.364683i | \(0.118823\pi\) | |||||||
\(954\) | 15.9505 | + | 48.0687i | 0.516418 | + | 1.55628i | ||||
\(955\) | 7.75848 | + | 20.9827i | 0.251059 | + | 0.678983i | ||||
\(956\) | 5.72285 | − | 54.4493i | 0.185090 | − | 1.76102i | ||||
\(957\) | 14.9088 | + | 20.3862i | 0.481932 | + | 0.658992i | ||||
\(958\) | 17.3046 | − | 7.70450i | 0.559086 | − | 0.248921i | ||||
\(959\) | −13.0668 | − | 14.5121i | −0.421948 | − | 0.468621i | ||||
\(960\) | −30.9748 | − | 38.9813i | −0.999707 | − | 1.25812i | ||||
\(961\) | 19.4172 | − | 21.5649i | 0.626360 | − | 0.695643i | ||||
\(962\) | −10.9170 | + | 33.5990i | −0.351977 | + | 1.08327i | ||||
\(963\) | 12.6279 | − | 5.71694i | 0.406930 | − | 0.184226i | ||||
\(964\) | 22.5193 | + | 69.3072i | 0.725297 | + | 2.23224i | ||||
\(965\) | 24.0026 | + | 9.55556i | 0.772670 | + | 0.307604i | ||||
\(966\) | −22.4699 | + | 107.357i | −0.722956 | + | 3.45416i | ||||
\(967\) | 40.1904 | − | 17.8939i | 1.29244 | − | 0.575429i | 0.358720 | − | 0.933445i | \(-0.383213\pi\) |
0.933715 | + | 0.358016i | \(0.116547\pi\) | |||||||
\(968\) | 10.6168 | − | 18.3888i | 0.341237 | − | 0.591040i | ||||
\(969\) | 1.21870 | − | 0.708693i | 0.0391503 | − | 0.0227665i | ||||
\(970\) | −13.0184 | − | 20.5993i | −0.417996 | − | 0.661403i | ||||
\(971\) | 15.7738 | − | 11.4603i | 0.506204 | − | 0.367779i | −0.305178 | − | 0.952295i | \(-0.598716\pi\) |
0.811382 | + | 0.584517i | \(0.198716\pi\) | |||||||
\(972\) | −20.0969 | + | 47.1010i | −0.644608 | + | 1.51077i | ||||
\(973\) | −8.27344 | − | 25.4630i | −0.265234 | − | 0.816307i | ||||
\(974\) | −17.4805 | − | 30.2771i | −0.560112 | − | 0.970142i | ||||
\(975\) | −10.1687 | + | 29.1400i | −0.325658 | + | 0.933226i | ||||
\(976\) | 0.698856 | − | 1.21045i | 0.0223698 | − | 0.0387457i | ||||
\(977\) | 43.9214 | + | 9.33578i | 1.40517 | + | 0.298678i | 0.847240 | − | 0.531210i | \(-0.178263\pi\) |
0.557930 | + | 0.829888i | \(0.311596\pi\) | |||||||
\(978\) | 12.0629 | − | 10.9298i | 0.385730 | − | 0.349497i | ||||
\(979\) | 12.1953 | + | 5.42970i | 0.389764 | + | 0.173534i | ||||
\(980\) | −6.96676 | + | 24.7721i | −0.222545 | + | 0.791316i | ||||
\(981\) | −4.50004 | − | 40.3906i | −0.143675 | − | 1.28957i | ||||
\(982\) | 3.63642 | 0.116043 | ||||||||
\(983\) | 5.36159 | − | 51.0121i | 0.171008 | − | 1.62703i | −0.486567 | − | 0.873643i | \(-0.661751\pi\) |
0.657575 | − | 0.753389i | \(-0.271582\pi\) | |||||||
\(984\) | −22.0563 | + | 7.24265i | −0.703131 | + | 0.230887i | ||||
\(985\) | 20.4290 | + | 20.9401i | 0.650922 | + | 0.667206i | ||||
\(986\) | −15.0828 | − | 3.20595i | −0.480335 | − | 0.102098i | ||||
\(987\) | −41.2554 | + | 13.5470i | −1.31317 | + | 0.431207i | ||||
\(988\) | 10.3774 | − | 2.20579i | 0.330150 | − | 0.0701756i | ||||
\(989\) | −4.65124 | − | 14.3150i | −0.147901 | − | 0.455192i | ||||
\(990\) | −23.5172 | + | 18.8068i | −0.747426 | + | 0.597721i | ||||
\(991\) | 2.34318 | − | 7.21156i | 0.0744335 | − | 0.229083i | −0.906917 | − | 0.421309i | \(-0.861571\pi\) |
0.981351 | + | 0.192226i | \(0.0615708\pi\) | |||||||
\(992\) | −4.37228 | + | 41.5994i | −0.138820 | + | 1.32078i | ||||
\(993\) | 38.8769 | − | 4.20872i | 1.23372 | − | 0.133560i | ||||
\(994\) | 67.5363 | − | 30.0691i | 2.14212 | − | 0.953734i | ||||
\(995\) | 0.840689 | + | 5.76819i | 0.0266516 | + | 0.182864i | ||||
\(996\) | −5.55205 | − | 25.7257i | −0.175923 | − | 0.815149i | ||||
\(997\) | 21.4035 | + | 9.52945i | 0.677855 | + | 0.301801i | 0.716636 | − | 0.697447i | \(-0.245681\pi\) |
−0.0387810 | + | 0.999248i | \(0.512347\pi\) | |||||||
\(998\) | 22.0054 | + | 67.7258i | 0.696570 | + | 2.14382i | ||||
\(999\) | −21.2437 | + | 7.12285i | −0.672121 | + | 0.225357i |
(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 | 225.2.q.a.31.24 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.r.a.631.5 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.181.24 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.106.5 | yes | 224 | |
25.21 | even | 5 | inner | 225.2.q.a.121.5 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.496.24 | 224 | |||
225.146 | odd | 30 | 675.2.r.a.46.5 | 224 | |||
225.196 | even | 15 | inner | 225.2.q.a.196.24 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.24 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.106.5 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.121.5 | yes | 224 | 25.21 | even | 5 | inner | |
225.2.q.a.196.24 | yes | 224 | 225.196 | even | 15 | inner | |
675.2.r.a.46.5 | 224 | 225.146 | odd | 30 | |||
675.2.r.a.181.24 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.496.24 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.631.5 | 224 | 3.2 | odd | 2 |