Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [456,2,Mod(61,456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(456, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("456.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 456 = 2^{3} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 456.bk (of order \(18\), degree \(6\), 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: | \(3.64117833217\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 253.18 | ||
Character | \(\chi\) | \(=\) | 456.253 |
Dual form | 456.2.bk.a.301.18 |
$q$-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 \(\left(\mathbb{Z}/456\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.321468 | + | 1.37719i | −0.227313 | + | 0.973822i | ||||
\(3\) | −0.342020 | + | 0.939693i | −0.197465 | + | 0.542532i | ||||
\(4\) | −1.79332 | − | 0.885448i | −0.896658 | − | 0.442724i | ||||
\(5\) | 1.48904 | − | 0.262559i | 0.665921 | − | 0.117420i | 0.169538 | − | 0.985524i | \(-0.445772\pi\) |
0.496383 | + | 0.868104i | \(0.334661\pi\) | |||||||
\(6\) | −1.18419 | − | 0.773109i | −0.483443 | − | 0.315620i | ||||
\(7\) | 1.07835 | − | 1.86775i | 0.407577 | − | 0.705945i | −0.587040 | − | 0.809558i | \(-0.699707\pi\) |
0.994618 | + | 0.103613i | \(0.0330403\pi\) | |||||||
\(8\) | 1.79593 | − | 2.18510i | 0.634956 | − | 0.772548i | ||||
\(9\) | −0.766044 | − | 0.642788i | −0.255348 | − | 0.214263i | ||||
\(10\) | −0.117087 | + | 2.13510i | −0.0370262 | + | 0.675179i | ||||
\(11\) | 2.84612 | − | 1.64321i | 0.858139 | − | 0.495447i | −0.00524994 | − | 0.999986i | \(-0.501671\pi\) |
0.863388 | + | 0.504540i | \(0.168338\pi\) | |||||||
\(12\) | 1.44540 | − | 1.38232i | 0.417251 | − | 0.399043i | ||||
\(13\) | 1.41078 | + | 3.87609i | 0.391280 | + | 1.07503i | 0.966418 | + | 0.256976i | \(0.0827263\pi\) |
−0.575138 | + | 0.818057i | \(0.695051\pi\) | |||||||
\(14\) | 2.22560 | + | 2.08552i | 0.594817 | + | 0.557378i | ||||
\(15\) | −0.262559 | + | 1.48904i | −0.0677924 | + | 0.384470i | ||||
\(16\) | 2.43196 | + | 3.17578i | 0.607991 | + | 0.793944i | ||||
\(17\) | 1.31755 | − | 1.10555i | 0.319553 | − | 0.268136i | −0.468874 | − | 0.883265i | \(-0.655340\pi\) |
0.788427 | + | 0.615128i | \(0.210896\pi\) | |||||||
\(18\) | 1.13150 | − | 0.848354i | 0.266697 | − | 0.199959i | ||||
\(19\) | 4.29243 | − | 0.758311i | 0.984751 | − | 0.173968i | ||||
\(20\) | −2.90281 | − | 0.847620i | −0.649088 | − | 0.189534i | ||||
\(21\) | 1.38630 | + | 1.65213i | 0.302515 | + | 0.360523i | ||||
\(22\) | 1.34808 | + | 4.44790i | 0.287411 | + | 0.948295i | ||||
\(23\) | 0.464555 | − | 2.63462i | 0.0968664 | − | 0.549357i | −0.897293 | − | 0.441435i | \(-0.854469\pi\) |
0.994159 | − | 0.107921i | \(-0.0344195\pi\) | |||||||
\(24\) | 1.43908 | + | 2.43497i | 0.293750 | + | 0.497035i | ||||
\(25\) | −2.55015 | + | 0.928178i | −0.510029 | + | 0.185636i | ||||
\(26\) | −5.79164 | + | 0.696876i | −1.13583 | + | 0.136669i | ||||
\(27\) | 0.866025 | − | 0.500000i | 0.166667 | − | 0.0962250i | ||||
\(28\) | −3.58762 | + | 2.39465i | −0.677996 | + | 0.452547i | ||||
\(29\) | −1.48197 | + | 1.76615i | −0.275196 | + | 0.327965i | −0.885885 | − | 0.463905i | \(-0.846448\pi\) |
0.610689 | + | 0.791870i | \(0.290892\pi\) | |||||||
\(30\) | −1.96630 | − | 0.840275i | −0.358995 | − | 0.153412i | ||||
\(31\) | −0.588975 | + | 1.02013i | −0.105783 | + | 0.183222i | −0.914058 | − | 0.405584i | \(-0.867068\pi\) |
0.808275 | + | 0.588805i | \(0.200402\pi\) | |||||||
\(32\) | −5.15545 | + | 2.32837i | −0.911364 | + | 0.411602i | ||||
\(33\) | 0.570681 | + | 3.23649i | 0.0993428 | + | 0.563401i | ||||
\(34\) | 1.09901 | + | 2.16992i | 0.188479 | + | 0.372138i | ||||
\(35\) | 1.11531 | − | 3.06430i | 0.188522 | − | 0.517961i | ||||
\(36\) | 0.804605 | + | 1.83101i | 0.134101 | + | 0.305169i | ||||
\(37\) | 5.85297i | 0.962222i | 0.876660 | + | 0.481111i | \(0.159767\pi\) | ||||
−0.876660 | + | 0.481111i | \(0.840233\pi\) | |||||||
\(38\) | −0.335542 | + | 6.15528i | −0.0544321 | + | 0.998517i | ||||
\(39\) | −4.12485 | −0.660504 | ||||||||
\(40\) | 2.10050 | − | 3.72524i | 0.332118 | − | 0.589013i | ||||
\(41\) | −3.69110 | − | 1.34345i | −0.576454 | − | 0.209812i | 0.0373074 | − | 0.999304i | \(-0.488122\pi\) |
−0.613761 | + | 0.789492i | \(0.710344\pi\) | |||||||
\(42\) | −2.72095 | + | 1.37809i | −0.419851 | + | 0.212644i | ||||
\(43\) | 9.14785 | − | 1.61301i | 1.39503 | − | 0.245982i | 0.574933 | − | 0.818201i | \(-0.305028\pi\) |
0.820101 | + | 0.572219i | \(0.193917\pi\) | |||||||
\(44\) | −6.55898 | + | 0.426702i | −0.988803 | + | 0.0643277i | ||||
\(45\) | −1.30944 | − | 0.756008i | −0.195200 | − | 0.112699i | ||||
\(46\) | 3.47904 | + | 1.48673i | 0.512957 | + | 0.219206i | ||||
\(47\) | −4.24082 | − | 3.55847i | −0.618587 | − | 0.519056i | 0.278772 | − | 0.960357i | \(-0.410073\pi\) |
−0.897359 | + | 0.441301i | \(0.854517\pi\) | |||||||
\(48\) | −3.81603 | + | 1.19912i | −0.550797 | + | 0.173078i | ||||
\(49\) | 1.17433 | + | 2.03400i | 0.167761 | + | 0.290571i | ||||
\(50\) | −0.458487 | − | 3.81042i | −0.0648398 | − | 0.538875i | ||||
\(51\) | 0.588254 | + | 1.61621i | 0.0823720 | + | 0.226315i | ||||
\(52\) | 0.902098 | − | 8.20022i | 0.125098 | − | 1.13717i | ||||
\(53\) | 1.04533 | + | 0.184320i | 0.143587 | + | 0.0253183i | 0.244980 | − | 0.969528i | \(-0.421219\pi\) |
−0.101392 | + | 0.994847i | \(0.532330\pi\) | |||||||
\(54\) | 0.410196 | + | 1.35342i | 0.0558206 | + | 0.184177i | ||||
\(55\) | 3.80657 | − | 3.19409i | 0.513277 | − | 0.430691i | ||||
\(56\) | −2.14459 | − | 5.71064i | −0.286583 | − | 0.763117i | ||||
\(57\) | −0.755519 | + | 4.29292i | −0.100071 | + | 0.568612i | ||||
\(58\) | −1.95592 | − | 2.60872i | −0.256824 | − | 0.342542i | ||||
\(59\) | 7.04593 | + | 8.39701i | 0.917302 | + | 1.09320i | 0.995357 | + | 0.0962487i | \(0.0306844\pi\) |
−0.0780556 | + | 0.996949i | \(0.524871\pi\) | |||||||
\(60\) | 1.78932 | − | 2.43785i | 0.231000 | − | 0.314724i | ||||
\(61\) | −4.91604 | − | 0.866831i | −0.629434 | − | 0.110986i | −0.150175 | − | 0.988659i | \(-0.547984\pi\) |
−0.479260 | + | 0.877673i | \(0.659095\pi\) | |||||||
\(62\) | −1.21558 | − | 1.13907i | −0.154379 | − | 0.144662i | ||||
\(63\) | −2.02663 | + | 0.737634i | −0.255332 | + | 0.0929331i | ||||
\(64\) | −1.54930 | − | 7.84855i | −0.193662 | − | 0.981068i | ||||
\(65\) | 3.11841 | + | 5.40125i | 0.386792 | + | 0.669943i | ||||
\(66\) | −4.64073 | − | 0.254493i | −0.571234 | − | 0.0313259i | ||||
\(67\) | −0.902843 | + | 1.07597i | −0.110300 | + | 0.131450i | −0.818370 | − | 0.574692i | \(-0.805122\pi\) |
0.708070 | + | 0.706142i | \(0.249566\pi\) | |||||||
\(68\) | −3.34169 | + | 0.815989i | −0.405240 | + | 0.0989532i | ||||
\(69\) | 2.31685 | + | 1.33763i | 0.278916 | + | 0.161032i | ||||
\(70\) | 3.86159 | + | 2.52108i | 0.461548 | + | 0.301326i | ||||
\(71\) | −2.42144 | − | 13.7327i | −0.287372 | − | 1.62977i | −0.696688 | − | 0.717374i | \(-0.745344\pi\) |
0.409316 | − | 0.912393i | \(-0.365767\pi\) | |||||||
\(72\) | −2.78031 | + | 0.519482i | −0.327663 | + | 0.0612216i | ||||
\(73\) | 9.10897 | + | 3.31540i | 1.06612 | + | 0.388038i | 0.814726 | − | 0.579846i | \(-0.196887\pi\) |
0.251399 | + | 0.967884i | \(0.419109\pi\) | |||||||
\(74\) | −8.06066 | − | 1.88154i | −0.937033 | − | 0.218725i | ||||
\(75\) | − | 2.71381i | − | 0.313364i | ||||||
\(76\) | −8.36913 | − | 2.44083i | −0.960005 | − | 0.279983i | ||||
\(77\) | − | 7.08781i | − | 0.807731i | ||||||
\(78\) | 1.32601 | − | 5.68070i | 0.150141 | − | 0.643213i | ||||
\(79\) | −5.05163 | − | 1.83864i | −0.568353 | − | 0.206864i | 0.0418290 | − | 0.999125i | \(-0.486682\pi\) |
−0.610182 | + | 0.792261i | \(0.708904\pi\) | |||||||
\(80\) | 4.45513 | + | 4.09034i | 0.498099 | + | 0.457314i | ||||
\(81\) | 0.173648 | + | 0.984808i | 0.0192942 | + | 0.109423i | ||||
\(82\) | 3.03676 | − | 4.65148i | 0.335355 | − | 0.513670i | ||||
\(83\) | −2.61895 | − | 1.51205i | −0.287467 | − | 0.165969i | 0.349332 | − | 0.936999i | \(-0.386408\pi\) |
−0.636799 | + | 0.771030i | \(0.719742\pi\) | |||||||
\(84\) | −1.02320 | − | 4.19028i | −0.111640 | − | 0.457197i | ||||
\(85\) | 1.67162 | − | 1.99215i | 0.181312 | − | 0.216079i | ||||
\(86\) | −0.719317 | + | 13.1169i | −0.0775660 | + | 1.41443i | ||||
\(87\) | −1.15277 | − | 1.99666i | −0.123590 | − | 0.214064i | ||||
\(88\) | 1.52085 | − | 9.17014i | 0.162124 | − | 0.977540i | ||||
\(89\) | −3.20059 | + | 1.16492i | −0.339262 | + | 0.123481i | −0.506033 | − | 0.862514i | \(-0.668888\pi\) |
0.166770 | + | 0.985996i | \(0.446666\pi\) | |||||||
\(90\) | 1.46211 | − | 1.56032i | 0.154120 | − | 0.164472i | ||||
\(91\) | 8.76089 | + | 1.54478i | 0.918391 | + | 0.161937i | ||||
\(92\) | −3.16591 | + | 4.31337i | −0.330069 | + | 0.449700i | ||||
\(93\) | −0.757172 | − | 0.902362i | −0.0785150 | − | 0.0935706i | ||||
\(94\) | 6.26398 | − | 4.69648i | 0.646081 | − | 0.484405i | ||||
\(95\) | 6.19252 | − | 2.25617i | 0.635339 | − | 0.231478i | ||||
\(96\) | −0.424684 | − | 5.64089i | −0.0433442 | − | 0.575721i | ||||
\(97\) | 9.85764 | − | 8.27154i | 1.00089 | − | 0.839848i | 0.0137839 | − | 0.999905i | \(-0.495612\pi\) |
0.987108 | + | 0.160057i | \(0.0511679\pi\) | |||||||
\(98\) | −3.17872 | + | 0.963411i | −0.321099 | + | 0.0973192i | ||||
\(99\) | −3.23649 | − | 0.570681i | −0.325280 | − | 0.0573556i | ||||
\(100\) | 5.39507 | + | 0.593506i | 0.539507 | + | 0.0593506i | ||||
\(101\) | −3.04303 | − | 8.36066i | −0.302793 | − | 0.831916i | −0.994012 | − | 0.109271i | \(-0.965148\pi\) |
0.691219 | − | 0.722645i | \(-0.257074\pi\) | |||||||
\(102\) | −2.41494 | + | 0.290576i | −0.239115 | + | 0.0287714i | ||||
\(103\) | 7.70260 | + | 13.3413i | 0.758959 | + | 1.31456i | 0.943382 | + | 0.331709i | \(0.107625\pi\) |
−0.184422 | + | 0.982847i | \(0.559041\pi\) | |||||||
\(104\) | 11.0033 | + | 3.87847i | 1.07896 | + | 0.380316i | ||||
\(105\) | 2.49804 | + | 2.09610i | 0.243784 | + | 0.204559i | ||||
\(106\) | −0.589885 | + | 1.38037i | −0.0572947 | + | 0.134073i | ||||
\(107\) | −17.5926 | − | 10.1571i | −1.70074 | − | 0.981923i | −0.945011 | − | 0.327039i | \(-0.893949\pi\) |
−0.755729 | − | 0.654884i | \(-0.772717\pi\) | |||||||
\(108\) | −1.99578 | + | 0.129838i | −0.192044 | + | 0.0124936i | ||||
\(109\) | −9.62984 | + | 1.69800i | −0.922372 | + | 0.162639i | −0.614616 | − | 0.788826i | \(-0.710689\pi\) |
−0.307756 | + | 0.951465i | \(0.599578\pi\) | |||||||
\(110\) | 3.17518 | + | 6.26917i | 0.302742 | + | 0.597742i | ||||
\(111\) | −5.49999 | − | 2.00183i | −0.522036 | − | 0.190006i | ||||
\(112\) | 8.55407 | − | 1.11772i | 0.808284 | − | 0.105615i | ||||
\(113\) | 15.1227 | 1.42262 | 0.711310 | − | 0.702878i | \(-0.248102\pi\) | ||||
0.711310 | + | 0.702878i | \(0.248102\pi\) | |||||||
\(114\) | −5.66930 | − | 2.42053i | −0.530979 | − | 0.226704i | ||||
\(115\) | − | 4.04504i | − | 0.377202i | ||||||
\(116\) | 4.22148 | − | 1.85505i | 0.391954 | − | 0.172237i | ||||
\(117\) | 1.41078 | − | 3.87609i | 0.130427 | − | 0.358344i | ||||
\(118\) | −13.8293 | + | 7.00422i | −1.27309 | + | 0.644791i | ||||
\(119\) | −0.644128 | − | 3.65303i | −0.0590471 | − | 0.334873i | ||||
\(120\) | 2.78217 | + | 3.24793i | 0.253976 | + | 0.296494i | ||||
\(121\) | −0.0997203 | + | 0.172721i | −0.00906548 | + | 0.0157019i | ||||
\(122\) | 2.77414 | − | 6.49167i | 0.251159 | − | 0.587728i | ||||
\(123\) | 2.52486 | − | 3.00902i | 0.227659 | − | 0.271314i | ||||
\(124\) | 1.95949 | − | 1.30792i | 0.175968 | − | 0.117454i | ||||
\(125\) | −10.1008 | + | 5.83170i | −0.903443 | + | 0.521603i | ||||
\(126\) | −0.364365 | − | 3.02819i | −0.0324602 | − | 0.269772i | ||||
\(127\) | −2.73148 | + | 0.994178i | −0.242380 | + | 0.0882191i | −0.460354 | − | 0.887736i | \(-0.652277\pi\) |
0.217974 | + | 0.975955i | \(0.430055\pi\) | |||||||
\(128\) | 11.3070 | + | 0.389379i | 0.999408 | + | 0.0344166i | ||||
\(129\) | −1.61301 | + | 9.14785i | −0.142018 | + | 0.805423i | ||||
\(130\) | −8.44104 | + | 2.55832i | −0.740328 | + | 0.224380i | ||||
\(131\) | 0.316563 | + | 0.377265i | 0.0276582 | + | 0.0329618i | 0.779696 | − | 0.626158i | \(-0.215373\pi\) |
−0.752038 | + | 0.659120i | \(0.770929\pi\) | |||||||
\(132\) | 1.84233 | − | 6.30936i | 0.160355 | − | 0.549159i | ||||
\(133\) | 3.21240 | − | 8.83493i | 0.278550 | − | 0.766086i | ||||
\(134\) | −1.19158 | − | 1.58928i | −0.102937 | − | 0.137293i | ||||
\(135\) | 1.15827 | − | 0.971905i | 0.0996881 | − | 0.0836482i | ||||
\(136\) | −0.0495240 | − | 4.86447i | −0.00424664 | − | 0.417125i | ||||
\(137\) | 0.634124 | − | 3.59630i | 0.0541769 | − | 0.307252i | −0.945663 | − | 0.325148i | \(-0.894586\pi\) |
0.999840 | + | 0.0178962i | \(0.00569684\pi\) | |||||||
\(138\) | −2.58697 | + | 2.76074i | −0.220218 | + | 0.235010i | ||||
\(139\) | −2.32264 | − | 6.38139i | −0.197004 | − | 0.541263i | 0.801376 | − | 0.598160i | \(-0.204101\pi\) |
−0.998380 | + | 0.0568975i | \(0.981879\pi\) | |||||||
\(140\) | −4.71339 | + | 4.50770i | −0.398354 | + | 0.380971i | ||||
\(141\) | 4.79431 | − | 2.76800i | 0.403754 | − | 0.233107i | ||||
\(142\) | 19.6909 | + | 1.07983i | 1.65243 | + | 0.0906175i | ||||
\(143\) | 10.3845 | + | 8.71361i | 0.868394 | + | 0.728669i | ||||
\(144\) | 0.178356 | − | 3.99602i | 0.0148630 | − | 0.333002i | ||||
\(145\) | −1.74301 | + | 3.01898i | −0.144749 | + | 0.250712i | ||||
\(146\) | −7.49418 | + | 11.4790i | −0.620223 | + | 0.950010i | ||||
\(147\) | −2.31298 | + | 0.407840i | −0.190771 | + | 0.0336381i | ||||
\(148\) | 5.18250 | − | 10.4962i | 0.425999 | − | 0.862784i | ||||
\(149\) | −0.0190462 | + | 0.0523290i | −0.00156032 | + | 0.00428696i | −0.940470 | − | 0.339876i | \(-0.889615\pi\) |
0.938910 | + | 0.344163i | \(0.111837\pi\) | |||||||
\(150\) | 3.73744 | + | 0.872404i | 0.305160 | + | 0.0712315i | ||||
\(151\) | −18.9073 | −1.53866 | −0.769329 | − | 0.638853i | \(-0.779409\pi\) | ||||
−0.769329 | + | 0.638853i | \(0.779409\pi\) | |||||||
\(152\) | 6.05191 | − | 10.7412i | 0.490875 | − | 0.871230i | ||||
\(153\) | −1.71994 | −0.139049 | ||||||||
\(154\) | 9.76128 | + | 2.27851i | 0.786586 | + | 0.183607i | ||||
\(155\) | −0.609165 | + | 1.67367i | −0.0489293 | + | 0.134432i | ||||
\(156\) | 7.39715 | + | 3.65234i | 0.592246 | + | 0.292421i | ||||
\(157\) | −19.0822 | + | 3.36470i | −1.52292 | + | 0.268533i | −0.871581 | − | 0.490251i | \(-0.836905\pi\) |
−0.651343 | + | 0.758784i | \(0.725794\pi\) | |||||||
\(158\) | 4.15611 | − | 6.36600i | 0.330642 | − | 0.506452i | ||||
\(159\) | −0.530729 | + | 0.919249i | −0.0420895 | + | 0.0729012i | ||||
\(160\) | −7.06536 | + | 4.82066i | −0.558566 | + | 0.381106i | ||||
\(161\) | −4.41988 | − | 3.70872i | −0.348335 | − | 0.292288i | ||||
\(162\) | −1.41209 | − | 0.0774378i | −0.110944 | − | 0.00608409i | ||||
\(163\) | −2.09889 | + | 1.21180i | −0.164398 | + | 0.0949152i | −0.579942 | − | 0.814658i | \(-0.696925\pi\) |
0.415544 | + | 0.909573i | \(0.363591\pi\) | |||||||
\(164\) | 5.42976 | + | 5.67751i | 0.423993 | + | 0.443339i | ||||
\(165\) | 1.69954 | + | 4.66944i | 0.132309 | + | 0.363516i | ||||
\(166\) | 2.92429 | − | 3.12072i | 0.226969 | − | 0.242215i | ||||
\(167\) | 4.01218 | − | 22.7542i | 0.310472 | − | 1.76077i | −0.286088 | − | 0.958203i | \(-0.592355\pi\) |
0.596560 | − | 0.802569i | \(-0.296534\pi\) | |||||||
\(168\) | 6.09974 | − | 0.0621000i | 0.470605 | − | 0.00479112i | ||||
\(169\) | −3.07517 | + | 2.58038i | −0.236552 | + | 0.198490i | ||||
\(170\) | 2.20621 | + | 2.94255i | 0.169208 | + | 0.225683i | ||||
\(171\) | −3.77563 | − | 2.17822i | −0.288729 | − | 0.166573i | ||||
\(172\) | −17.8332 | − | 5.20730i | −1.35977 | − | 0.397053i | ||||
\(173\) | 8.88546 | + | 10.5893i | 0.675549 | + | 0.805088i | 0.989528 | − | 0.144342i | \(-0.0461065\pi\) |
−0.313979 | + | 0.949430i | \(0.601662\pi\) | |||||||
\(174\) | 3.12036 | − | 0.945724i | 0.236554 | − | 0.0716952i | ||||
\(175\) | −1.01634 | + | 5.76395i | −0.0768280 | + | 0.435713i | ||||
\(176\) | 12.1401 | + | 5.04242i | 0.915097 | + | 0.380087i | ||||
\(177\) | −10.3005 | + | 3.74906i | −0.774230 | + | 0.281797i | ||||
\(178\) | −0.575430 | − | 4.78232i | −0.0431303 | − | 0.358450i | ||||
\(179\) | −13.4410 | + | 7.76018i | −1.00463 | + | 0.580023i | −0.909615 | − | 0.415453i | \(-0.863623\pi\) |
−0.0950149 | + | 0.995476i | \(0.530290\pi\) | |||||||
\(180\) | 1.67884 | + | 2.51520i | 0.125133 | + | 0.187472i | ||||
\(181\) | −13.5224 | + | 16.1153i | −1.00511 | + | 1.19784i | −0.0249381 | + | 0.999689i | \(0.507939\pi\) |
−0.980171 | + | 0.198153i | \(0.936506\pi\) | |||||||
\(182\) | −4.94381 | + | 11.5688i | −0.366460 | + | 0.857539i | ||||
\(183\) | 2.49594 | − | 4.32309i | 0.184505 | − | 0.319572i | ||||
\(184\) | −4.92260 | − | 5.74669i | −0.362899 | − | 0.423651i | ||||
\(185\) | 1.53675 | + | 8.71533i | 0.112984 | + | 0.640764i | ||||
\(186\) | 1.48613 | − | 0.752690i | 0.108969 | − | 0.0551899i | ||||
\(187\) | 1.93325 | − | 5.31156i | 0.141373 | − | 0.388419i | ||||
\(188\) | 4.45429 | + | 10.1365i | 0.324862 | + | 0.739279i | ||||
\(189\) | − | 2.15670i | − | 0.156877i | ||||||
\(190\) | 1.11648 | + | 9.25358i | 0.0809983 | + | 0.671325i | ||||
\(191\) | −19.8684 | −1.43763 | −0.718815 | − | 0.695202i | \(-0.755315\pi\) | ||||
−0.718815 | + | 0.695202i | \(0.755315\pi\) | |||||||
\(192\) | 7.90511 | + | 1.22850i | 0.570502 | + | 0.0886591i | ||||
\(193\) | −25.4923 | − | 9.27843i | −1.83497 | − | 0.667876i | −0.991400 | − | 0.130863i | \(-0.958225\pi\) |
−0.843574 | − | 0.537013i | \(-0.819553\pi\) | |||||||
\(194\) | 8.22258 | + | 16.2349i | 0.590347 | + | 1.16560i | ||||
\(195\) | −6.14208 | + | 1.08301i | −0.439843 | + | 0.0775563i | ||||
\(196\) | −0.304945 | − | 4.68741i | −0.0217818 | − | 0.334815i | ||||
\(197\) | 3.86498 | + | 2.23145i | 0.275369 | + | 0.158984i | 0.631325 | − | 0.775518i | \(-0.282511\pi\) |
−0.355956 | + | 0.934503i | \(0.615845\pi\) | |||||||
\(198\) | 1.82637 | − | 4.27382i | 0.129794 | − | 0.303727i | ||||
\(199\) | −3.58954 | − | 3.01198i | −0.254456 | − | 0.213514i | 0.506633 | − | 0.862162i | \(-0.330890\pi\) |
−0.761088 | + | 0.648649i | \(0.775335\pi\) | |||||||
\(200\) | −2.55172 | + | 7.23926i | −0.180434 | + | 0.511893i | ||||
\(201\) | −0.702287 | − | 1.21640i | −0.0495355 | − | 0.0857981i | ||||
\(202\) | 12.4925 | − | 1.50315i | 0.878967 | − | 0.105761i | ||||
\(203\) | 1.70065 | + | 4.67248i | 0.119362 | + | 0.327944i | ||||
\(204\) | 0.376148 | − | 3.41925i | 0.0263356 | − | 0.239395i | ||||
\(205\) | −5.84895 | − | 1.03133i | −0.408509 | − | 0.0720311i | ||||
\(206\) | −20.8497 | + | 6.31915i | −1.45266 | + | 0.440276i | ||||
\(207\) | −2.04937 | + | 1.71963i | −0.142441 | + | 0.119522i | ||||
\(208\) | −8.87861 | + | 13.9068i | −0.615621 | + | 0.964265i | ||||
\(209\) | 10.9707 | − | 9.21161i | 0.758861 | − | 0.637181i | ||||
\(210\) | −3.68978 | + | 2.76645i | −0.254619 | + | 0.190903i | ||||
\(211\) | 15.6642 | + | 18.6679i | 1.07837 | + | 1.28515i | 0.956224 | + | 0.292636i | \(0.0945325\pi\) |
0.122144 | + | 0.992512i | \(0.461023\pi\) | |||||||
\(212\) | −1.71140 | − | 1.25613i | −0.117540 | − | 0.0862714i | ||||
\(213\) | 13.7327 | + | 2.42144i | 0.940946 | + | 0.165914i | ||||
\(214\) | 19.6437 | − | 20.9632i | 1.34282 | − | 1.43301i | ||||
\(215\) | 13.1980 | − | 4.80369i | 0.900099 | − | 0.327609i | ||||
\(216\) | 0.462769 | − | 2.79031i | 0.0314875 | − | 0.189857i | ||||
\(217\) | 1.27024 | + | 2.20012i | 0.0862296 | + | 0.149354i | ||||
\(218\) | 0.757217 | − | 13.8080i | 0.0512852 | − | 0.935195i | ||||
\(219\) | −6.23091 | + | 7.42570i | −0.421046 | + | 0.501783i | ||||
\(220\) | −9.65457 | + | 2.35749i | −0.650911 | + | 0.158942i | ||||
\(221\) | 6.14400 | + | 3.54724i | 0.413290 | + | 0.238613i | ||||
\(222\) | 4.52498 | − | 6.93102i | 0.303697 | − | 0.465179i | ||||
\(223\) | −0.196499 | − | 1.11440i | −0.0131585 | − | 0.0746257i | 0.977521 | − | 0.210836i | \(-0.0676187\pi\) |
−0.990680 | + | 0.136211i | \(0.956508\pi\) | |||||||
\(224\) | −1.21055 | + | 12.1399i | −0.0808832 | + | 0.811132i | ||||
\(225\) | 2.55015 | + | 0.928178i | 0.170010 | + | 0.0618785i | ||||
\(226\) | −4.86146 | + | 20.8268i | −0.323380 | + | 1.38538i | ||||
\(227\) | − | 13.3600i | − | 0.886738i | −0.896339 | − | 0.443369i | \(-0.853783\pi\) | ||
0.896339 | − | 0.443369i | \(-0.146217\pi\) | |||||||
\(228\) | 5.15604 | − | 7.02960i | 0.341467 | − | 0.465546i | ||||
\(229\) | − | 10.2820i | − | 0.679456i | −0.940524 | − | 0.339728i | \(-0.889665\pi\) | ||
0.940524 | − | 0.339728i | \(-0.110335\pi\) | |||||||
\(230\) | 5.57080 | + | 1.30035i | 0.367328 | + | 0.0857428i | ||||
\(231\) | 6.66037 | + | 2.42417i | 0.438220 | + | 0.159499i | ||||
\(232\) | 1.19769 | + | 6.41013i | 0.0786321 | + | 0.420845i | ||||
\(233\) | 1.09703 | + | 6.22159i | 0.0718691 | + | 0.407590i | 0.999425 | + | 0.0339056i | \(0.0107945\pi\) |
−0.927556 | + | 0.373684i | \(0.878094\pi\) | |||||||
\(234\) | 4.88459 | + | 3.18896i | 0.319316 | + | 0.208469i | ||||
\(235\) | −7.24907 | − | 4.18525i | −0.472877 | − | 0.273016i | ||||
\(236\) | −5.20046 | − | 21.2973i | −0.338521 | − | 1.38634i | ||||
\(237\) | 3.45552 | − | 4.11813i | 0.224460 | − | 0.267501i | ||||
\(238\) | 5.23799 | + | 0.287247i | 0.339529 | + | 0.0186194i | ||||
\(239\) | 7.57619 | + | 13.1223i | 0.490063 | + | 0.848814i | 0.999935 | − | 0.0114365i | \(-0.00364043\pi\) |
−0.509872 | + | 0.860251i | \(0.670307\pi\) | |||||||
\(240\) | −5.36740 | + | 2.78748i | −0.346464 | + | 0.179931i | ||||
\(241\) | −11.5696 | + | 4.21099i | −0.745264 | + | 0.271254i | −0.686611 | − | 0.727025i | \(-0.740903\pi\) |
−0.0586524 | + | 0.998278i | \(0.518680\pi\) | |||||||
\(242\) | −0.205813 | − | 0.192858i | −0.0132301 | − | 0.0123974i | ||||
\(243\) | −0.984808 | − | 0.173648i | −0.0631754 | − | 0.0111395i | ||||
\(244\) | 8.04848 | + | 5.90740i | 0.515251 | + | 0.378182i | ||||
\(245\) | 2.28267 | + | 2.72038i | 0.145835 | + | 0.173799i | ||||
\(246\) | 3.33233 | + | 4.44453i | 0.212461 | + | 0.283373i | ||||
\(247\) | 8.99495 | + | 15.5680i | 0.572335 | + | 0.990570i | ||||
\(248\) | 1.17134 | + | 3.11905i | 0.0743800 | + | 0.198060i | ||||
\(249\) | 2.31659 | − | 1.94385i | 0.146808 | − | 0.123187i | ||||
\(250\) | −4.78428 | − | 15.7854i | −0.302585 | − | 0.998359i | ||||
\(251\) | −11.4543 | − | 2.01970i | −0.722988 | − | 0.127482i | −0.199967 | − | 0.979803i | \(-0.564084\pi\) |
−0.523020 | + | 0.852320i | \(0.675195\pi\) | |||||||
\(252\) | 4.28753 | + | 0.471666i | 0.270089 | + | 0.0297122i | ||||
\(253\) | −3.00706 | − | 8.26182i | −0.189052 | − | 0.519416i | ||||
\(254\) | −0.491089 | − | 4.08137i | −0.0308137 | − | 0.256088i | ||||
\(255\) | 1.30029 | + | 2.25216i | 0.0814271 | + | 0.141036i | ||||
\(256\) | −4.17110 | + | 15.4467i | −0.260693 | + | 0.965422i | ||||
\(257\) | 17.3687 | + | 14.5741i | 1.08343 | + | 0.909108i | 0.996201 | − | 0.0870801i | \(-0.0277536\pi\) |
0.0872313 | + | 0.996188i | \(0.472198\pi\) | |||||||
\(258\) | −12.0798 | − | 5.16217i | −0.752056 | − | 0.321383i | ||||
\(259\) | 10.9319 | + | 6.31154i | 0.679276 | + | 0.392180i | ||||
\(260\) | −0.809776 | − | 12.4473i | −0.0502202 | − | 0.771952i | ||||
\(261\) | 2.27052 | − | 0.400353i | 0.140541 | − | 0.0247812i | ||||
\(262\) | −0.621332 | + | 0.314689i | −0.0383860 | + | 0.0194416i | ||||
\(263\) | −10.8838 | − | 3.96139i | −0.671126 | − | 0.244270i | −0.0160936 | − | 0.999870i | \(-0.505123\pi\) |
−0.655033 | + | 0.755600i | \(0.727345\pi\) | |||||||
\(264\) | 8.09695 | + | 4.56551i | 0.498333 | + | 0.280988i | ||||
\(265\) | 1.60494 | 0.0985907 | ||||||||
\(266\) | 11.1347 | + | 7.26424i | 0.682713 | + | 0.445399i | ||||
\(267\) | − | 3.40600i | − | 0.208444i | ||||||
\(268\) | 2.57180 | − | 1.13013i | 0.157097 | − | 0.0690335i | ||||
\(269\) | −1.94994 | + | 5.35741i | −0.118890 | + | 0.326647i | −0.984835 | − | 0.173491i | \(-0.944495\pi\) |
0.865946 | + | 0.500138i | \(0.166717\pi\) | |||||||
\(270\) | 0.966152 | + | 1.90760i | 0.0587981 | + | 0.116093i | ||||
\(271\) | 3.60290 | + | 20.4330i | 0.218860 | + | 1.24122i | 0.874080 | + | 0.485781i | \(0.161465\pi\) |
−0.655220 | + | 0.755438i | \(0.727424\pi\) | |||||||
\(272\) | 6.71523 | + | 1.49557i | 0.407170 | + | 0.0906822i | ||||
\(273\) | −4.44802 | + | 7.70420i | −0.269206 | + | 0.466279i | ||||
\(274\) | 4.74894 | + | 2.02941i | 0.286894 | + | 0.122601i | ||||
\(275\) | −5.73284 | + | 6.83214i | −0.345703 | + | 0.411993i | ||||
\(276\) | −2.97044 | − | 4.45025i | −0.178799 | − | 0.267873i | ||||
\(277\) | −7.24924 | + | 4.18535i | −0.435564 | + | 0.251473i | −0.701714 | − | 0.712458i | \(-0.747582\pi\) |
0.266150 | + | 0.963932i | \(0.414248\pi\) | |||||||
\(278\) | 9.53506 | − | 1.14730i | 0.571875 | − | 0.0688105i | ||||
\(279\) | 1.10691 | − | 0.402883i | 0.0662690 | − | 0.0241200i | ||||
\(280\) | −4.69277 | − | 7.94032i | −0.280447 | − | 0.474525i | ||||
\(281\) | 2.62353 | − | 14.8788i | 0.156507 | − | 0.887594i | −0.800888 | − | 0.598814i | \(-0.795639\pi\) |
0.957395 | − | 0.288781i | \(-0.0932499\pi\) | |||||||
\(282\) | 2.27084 | + | 7.49251i | 0.135227 | + | 0.446173i | ||||
\(283\) | 2.25621 | + | 2.68885i | 0.134118 | + | 0.159835i | 0.828923 | − | 0.559362i | \(-0.188954\pi\) |
−0.694805 | + | 0.719198i | \(0.744510\pi\) | |||||||
\(284\) | −7.81715 | + | 26.7711i | −0.463862 | + | 1.58857i | ||||
\(285\) | 0.00214289 | + | 6.59072i | 0.000126934 | + | 0.390401i | ||||
\(286\) | −15.3386 | + | 11.5003i | −0.906991 | + | 0.680025i | ||||
\(287\) | −6.48953 | + | 5.44537i | −0.383065 | + | 0.321430i | ||||
\(288\) | 5.44595 | + | 1.53023i | 0.320906 | + | 0.0901694i | ||||
\(289\) | −2.43834 | + | 13.8285i | −0.143431 | + | 0.813440i | ||||
\(290\) | −3.59739 | − | 3.37096i | −0.211246 | − | 0.197950i | ||||
\(291\) | 4.40120 | + | 12.0922i | 0.258003 | + | 0.708856i | ||||
\(292\) | −13.3997 | − | 14.0111i | −0.784156 | − | 0.819936i | ||||
\(293\) | −3.87746 | + | 2.23865i | −0.226524 | + | 0.130783i | −0.608967 | − | 0.793195i | \(-0.708416\pi\) |
0.382444 | + | 0.923979i | \(0.375083\pi\) | |||||||
\(294\) | 0.181875 | − | 3.31652i | 0.0106072 | − | 0.193423i | ||||
\(295\) | 12.6964 | + | 10.6536i | 0.739213 | + | 0.620274i | ||||
\(296\) | 12.7893 | + | 10.5115i | 0.743363 | + | 0.610968i | ||||
\(297\) | 1.64321 | − | 2.84612i | 0.0953487 | − | 0.165149i | ||||
\(298\) | −0.0659443 | − | 0.0430524i | −0.00382005 | − | 0.00249396i | ||||
\(299\) | 10.8674 | − | 1.91622i | 0.628479 | − | 0.110818i | ||||
\(300\) | −2.40294 | + | 4.86672i | −0.138734 | + | 0.280980i | ||||
\(301\) | 6.85186 | − | 18.8253i | 0.394934 | − | 1.08507i | ||||
\(302\) | 6.07812 | − | 26.0391i | 0.349756 | − | 1.49838i | ||||
\(303\) | 8.89722 | 0.511132 | ||||||||
\(304\) | 12.8473 | + | 11.7876i | 0.736841 | + | 0.676066i | ||||
\(305\) | −7.54780 | −0.432186 | ||||||||
\(306\) | 0.552906 | − | 2.36869i | 0.0316075 | − | 0.135409i | ||||
\(307\) | 0.156983 | − | 0.431308i | 0.00895950 | − | 0.0246160i | −0.935132 | − | 0.354299i | \(-0.884720\pi\) |
0.944092 | + | 0.329683i | \(0.106942\pi\) | |||||||
\(308\) | −6.27589 | + | 12.7107i | −0.357602 | + | 0.724259i | ||||
\(309\) | −15.1712 | + | 2.67508i | −0.863057 | + | 0.152180i | ||||
\(310\) | −2.10913 | − | 1.37697i | −0.119791 | − | 0.0782065i | ||||
\(311\) | −7.47472 | + | 12.9466i | −0.423853 | + | 0.734134i | −0.996313 | − | 0.0857984i | \(-0.972656\pi\) |
0.572460 | + | 0.819933i | \(0.305989\pi\) | |||||||
\(312\) | −7.40792 | + | 9.01319i | −0.419391 | + | 0.510271i | ||||
\(313\) | −25.2374 | − | 21.1767i | −1.42650 | − | 1.19698i | −0.947744 | − | 0.319033i | \(-0.896642\pi\) |
−0.478760 | − | 0.877946i | \(-0.658914\pi\) | |||||||
\(314\) | 1.50048 | − | 27.3615i | 0.0846768 | − | 1.54410i | ||||
\(315\) | −2.82407 | + | 1.63048i | −0.159118 | + | 0.0918671i | ||||
\(316\) | 7.43115 | + | 7.77023i | 0.418035 | + | 0.437109i | ||||
\(317\) | −7.91935 | − | 21.7582i | −0.444795 | − | 1.22206i | −0.936304 | − | 0.351192i | \(-0.885777\pi\) |
0.491508 | − | 0.870873i | \(-0.336446\pi\) | |||||||
\(318\) | −1.09537 | − | 1.02643i | −0.0614253 | − | 0.0575591i | ||||
\(319\) | −1.31573 | + | 7.46187i | −0.0736667 | + | 0.417784i | ||||
\(320\) | −4.36768 | − | 11.2801i | −0.244161 | − | 0.630574i | ||||
\(321\) | 15.5616 | − | 13.0577i | 0.868562 | − | 0.728810i | ||||
\(322\) | 6.52846 | − | 4.89478i | 0.363817 | − | 0.272776i | ||||
\(323\) | 4.81713 | − | 5.74463i | 0.268033 | − | 0.319640i | ||||
\(324\) | 0.560590 | − | 1.91983i | 0.0311439 | − | 0.106657i | ||||
\(325\) | −7.19539 | − | 8.57514i | −0.399129 | − | 0.475663i | ||||
\(326\) | −0.994149 | − | 3.28013i | −0.0550608 | − | 0.181670i | ||||
\(327\) | 1.69800 | − | 9.62984i | 0.0938997 | − | 0.532531i | ||||
\(328\) | −9.56452 | + | 5.65268i | −0.528112 | + | 0.312117i | ||||
\(329\) | −11.2194 | + | 4.08354i | −0.618547 | + | 0.225133i | ||||
\(330\) | −6.97707 | + | 0.839512i | −0.384075 | + | 0.0462136i | ||||
\(331\) | 16.0084 | − | 9.24246i | 0.879901 | − | 0.508011i | 0.00927551 | − | 0.999957i | \(-0.497047\pi\) |
0.870626 | + | 0.491946i | \(0.163714\pi\) | |||||||
\(332\) | 3.35776 | + | 5.03052i | 0.184281 | + | 0.276086i | ||||
\(333\) | 3.76222 | − | 4.48363i | 0.206168 | − | 0.245702i | ||||
\(334\) | 30.0471 | + | 12.8403i | 1.64410 | + | 0.702590i | ||||
\(335\) | −1.06187 | + | 1.83921i | −0.0580161 | + | 0.100487i | ||||
\(336\) | −1.87535 | + | 8.42048i | −0.102309 | + | 0.459375i | ||||
\(337\) | −4.38301 | − | 24.8573i | −0.238758 | − | 1.35406i | −0.834554 | − | 0.550926i | \(-0.814275\pi\) |
0.595797 | − | 0.803135i | \(-0.296836\pi\) | |||||||
\(338\) | −2.56510 | − | 5.06461i | −0.139523 | − | 0.275479i | ||||
\(339\) | −5.17226 | + | 14.2107i | −0.280918 | + | 0.771817i | ||||
\(340\) | −4.76168 | + | 2.09243i | −0.258239 | + | 0.113478i | ||||
\(341\) | 3.87124i | 0.209639i | ||||||||
\(342\) | 4.21357 | − | 4.49953i | 0.227844 | − | 0.243307i | ||||
\(343\) | 20.1622 | 1.08866 | ||||||||
\(344\) | 12.9043 | − | 22.8858i | 0.695752 | − | 1.23392i | ||||
\(345\) | 3.80110 | + | 1.38349i | 0.204644 | + | 0.0744844i | ||||
\(346\) | −17.4399 | + | 8.83287i | −0.937573 | + | 0.474858i | ||||
\(347\) | −15.9900 | + | 2.81947i | −0.858390 | + | 0.151357i | −0.585485 | − | 0.810684i | \(-0.699096\pi\) |
−0.272905 | + | 0.962041i | \(0.587985\pi\) | |||||||
\(348\) | 0.299346 | + | 4.60136i | 0.0160467 | + | 0.246659i | ||||
\(349\) | 19.0366 | + | 10.9908i | 1.01901 | + | 0.588324i | 0.913816 | − | 0.406128i | \(-0.133121\pi\) |
0.105190 | + | 0.994452i | \(0.466455\pi\) | |||||||
\(350\) | −7.61134 | − | 3.25262i | −0.406843 | − | 0.173860i | ||||
\(351\) | 3.15982 | + | 2.65140i | 0.168658 | + | 0.141521i | ||||
\(352\) | −10.8471 | + | 15.0983i | −0.578150 | + | 0.804743i | ||||
\(353\) | −12.0994 | − | 20.9568i | −0.643987 | − | 1.11542i | −0.984534 | − | 0.175191i | \(-0.943946\pi\) |
0.340547 | − | 0.940228i | \(-0.389388\pi\) | |||||||
\(354\) | −1.85190 | − | 15.3909i | −0.0984275 | − | 0.818018i | ||||
\(355\) | −7.21126 | − | 19.8128i | −0.382734 | − | 1.05155i | ||||
\(356\) | 6.77115 | + | 0.744887i | 0.358870 | + | 0.0394790i | ||||
\(357\) | 3.65303 | + | 0.644128i | 0.193339 | + | 0.0340909i | ||||
\(358\) | −6.36639 | − | 21.0055i | −0.336474 | − | 1.11018i | ||||
\(359\) | 17.4238 | − | 14.6203i | 0.919592 | − | 0.771629i | −0.0543275 | − | 0.998523i | \(-0.517301\pi\) |
0.973919 | + | 0.226894i | \(0.0728570\pi\) | |||||||
\(360\) | −4.00361 | + | 1.50353i | −0.211009 | + | 0.0792429i | ||||
\(361\) | 17.8499 | − | 6.50999i | 0.939470 | − | 0.342631i | ||||
\(362\) | −17.8469 | − | 23.8035i | −0.938011 | − | 1.25108i | ||||
\(363\) | −0.128198 | − | 0.152780i | −0.00672865 | − | 0.00801889i | ||||
\(364\) | −14.3432 | − | 10.5276i | −0.751789 | − | 0.551796i | ||||
\(365\) | 14.4342 | + | 2.54513i | 0.755518 | + | 0.133218i | ||||
\(366\) | 5.15136 | + | 4.82713i | 0.269266 | + | 0.252318i | ||||
\(367\) | −21.2254 | + | 7.72542i | −1.10796 | + | 0.403263i | −0.830244 | − | 0.557401i | \(-0.811799\pi\) |
−0.277713 | + | 0.960664i | \(0.589577\pi\) | |||||||
\(368\) | 9.49675 | − | 4.93199i | 0.495052 | − | 0.257098i | ||||
\(369\) | 1.96400 | + | 3.40174i | 0.102242 | + | 0.177087i | ||||
\(370\) | −12.4967 | − | 0.685307i | −0.649672 | − | 0.0356274i | ||||
\(371\) | 1.47150 | − | 1.75366i | 0.0763963 | − | 0.0910456i | ||||
\(372\) | 0.558854 | + | 2.28866i | 0.0289752 | + | 0.118661i | ||||
\(373\) | 30.4999 | + | 17.6091i | 1.57922 | + | 0.911765i | 0.994968 | + | 0.100196i | \(0.0319470\pi\) |
0.584256 | + | 0.811569i | \(0.301386\pi\) | |||||||
\(374\) | 6.69355 | + | 4.36995i | 0.346115 | + | 0.225965i | ||||
\(375\) | −2.02533 | − | 11.4862i | −0.104587 | − | 0.593145i | ||||
\(376\) | −15.3918 | + | 2.87585i | −0.793771 | + | 0.148311i | ||||
\(377\) | −8.93648 | − | 3.25261i | −0.460252 | − | 0.167518i | ||||
\(378\) | 2.97019 | + | 0.693310i | 0.152770 | + | 0.0356600i | ||||
\(379\) | − | 9.96349i | − | 0.511790i | −0.966705 | − | 0.255895i | \(-0.917630\pi\) | ||
0.966705 | − | 0.255895i | \(-0.0823702\pi\) | |||||||
\(380\) | −13.1029 | − | 1.43712i | −0.672163 | − | 0.0737227i | ||||
\(381\) | − | 2.90678i | − | 0.148919i | ||||||
\(382\) | 6.38708 | − | 27.3627i | 0.326791 | − | 1.39999i | ||||
\(383\) | 10.9129 | + | 3.97197i | 0.557623 | + | 0.202958i | 0.605430 | − | 0.795898i | \(-0.293001\pi\) |
−0.0478070 | + | 0.998857i | \(0.515223\pi\) | |||||||
\(384\) | −4.23312 | + | 10.4919i | −0.216021 | + | 0.535414i | ||||
\(385\) | −1.86097 | − | 10.5541i | −0.0948437 | − | 0.537885i | ||||
\(386\) | 20.9731 | − | 32.1250i | 1.06751 | − | 1.63512i | ||||
\(387\) | −8.04448 | − | 4.64448i | −0.408924 | − | 0.236092i | ||||
\(388\) | −25.0019 | + | 6.10506i | −1.26928 | + | 0.309938i | ||||
\(389\) | 5.93582 | − | 7.07403i | 0.300958 | − | 0.358668i | −0.594278 | − | 0.804259i | \(-0.702562\pi\) |
0.895236 | + | 0.445592i | \(0.147007\pi\) | |||||||
\(390\) | 0.482966 | − | 8.80698i | 0.0244559 | − | 0.445959i | ||||
\(391\) | −2.30065 | − | 3.98484i | −0.116349 | − | 0.201522i | ||||
\(392\) | 6.55349 | + | 1.08689i | 0.331001 | + | 0.0548961i | ||||
\(393\) | −0.462784 | + | 0.168440i | −0.0233444 | + | 0.00849666i | ||||
\(394\) | −4.31560 | + | 4.60548i | −0.217417 | + | 0.232021i | ||||
\(395\) | −8.00486 | − | 1.41147i | −0.402768 | − | 0.0710189i | ||||
\(396\) | 5.29875 | + | 3.88916i | 0.266272 | + | 0.195437i | ||||
\(397\) | −11.9184 | − | 14.2038i | −0.598168 | − | 0.712868i | 0.378986 | − | 0.925402i | \(-0.376273\pi\) |
−0.977154 | + | 0.212534i | \(0.931828\pi\) | |||||||
\(398\) | 5.30200 | − | 3.97523i | 0.265765 | − | 0.199260i | ||||
\(399\) | 7.20341 | + | 6.04039i | 0.360622 | + | 0.302398i | ||||
\(400\) | −9.14955 | − | 5.84140i | −0.457478 | − | 0.292070i | ||||
\(401\) | −4.08437 | + | 3.42719i | −0.203963 | + | 0.171146i | −0.739048 | − | 0.673653i | \(-0.764724\pi\) |
0.535084 | + | 0.844799i | \(0.320280\pi\) | |||||||
\(402\) | 1.90098 | − | 0.576151i | 0.0948121 | − | 0.0287358i | ||||
\(403\) | −4.78505 | − | 0.843733i | −0.238360 | − | 0.0420293i | ||||
\(404\) | −1.94581 | + | 17.6877i | −0.0968076 | + | 0.879998i | ||||
\(405\) | 0.517140 | + | 1.42083i | 0.0256969 | + | 0.0706016i | ||||
\(406\) | −6.98161 | + | 0.840059i | −0.346492 | + | 0.0416914i | ||||
\(407\) | 9.61766 | + | 16.6583i | 0.476730 | + | 0.825720i | ||||
\(408\) | 4.58804 | + | 1.61721i | 0.227142 | + | 0.0800638i | ||||
\(409\) | 4.41368 | + | 3.70352i | 0.218243 | + | 0.183127i | 0.745354 | − | 0.666669i | \(-0.232281\pi\) |
−0.527111 | + | 0.849796i | \(0.676725\pi\) | |||||||
\(410\) | 3.30059 | − | 7.72359i | 0.163005 | − | 0.381441i | ||||
\(411\) | 3.16253 | + | 1.82589i | 0.155996 | + | 0.0900644i | ||||
\(412\) | −2.00018 | − | 30.7454i | −0.0985416 | − | 1.51472i | ||||
\(413\) | 23.2815 | − | 4.10516i | 1.14561 | − | 0.202002i | ||||
\(414\) | −1.70945 | − | 3.37519i | −0.0840148 | − | 0.165881i | ||||
\(415\) | −4.29673 | − | 1.56388i | −0.210918 | − | 0.0767679i | ||||
\(416\) | −16.2982 | − | 16.6982i | −0.799084 | − | 0.818695i | ||||
\(417\) | 6.79094 | 0.332554 | ||||||||
\(418\) | 9.15942 | + | 18.0700i | 0.448002 | + | 0.883835i | ||||
\(419\) | 1.72624i | 0.0843322i | 0.999111 | + | 0.0421661i | \(0.0134259\pi\) | ||||
−0.999111 | + | 0.0421661i | \(0.986574\pi\) | |||||||
\(420\) | −2.62378 | − | 5.97086i | −0.128028 | − | 0.291348i | ||||
\(421\) | −5.29114 | + | 14.5373i | −0.257875 | + | 0.708505i | 0.741423 | + | 0.671038i | \(0.234151\pi\) |
−0.999298 | + | 0.0374670i | \(0.988071\pi\) | |||||||
\(422\) | −30.7448 | + | 15.5715i | −1.49663 | + | 0.758008i | ||||
\(423\) | 0.961315 | + | 5.45189i | 0.0467407 | + | 0.265080i | ||||
\(424\) | 2.28010 | − | 1.95313i | 0.110731 | − | 0.0948522i | ||||
\(425\) | −2.33379 | + | 4.04225i | −0.113206 | + | 0.196078i | ||||
\(426\) | −7.74940 | + | 18.1341i | −0.375460 | + | 0.878600i | ||||
\(427\) | −6.92023 | + | 8.24721i | −0.334893 | + | 0.399110i | ||||
\(428\) | 22.5555 | + | 33.7922i | 1.09026 | + | 1.63341i | ||||
\(429\) | −11.7398 | + | 6.77799i | −0.566804 | + | 0.327244i | ||||
\(430\) | 2.37286 | + | 19.7205i | 0.114429 | + | 0.951006i | ||||
\(431\) | −31.6103 | + | 11.5052i | −1.52261 | + | 0.554186i | −0.961799 | − | 0.273757i | \(-0.911734\pi\) |
−0.560813 | + | 0.827942i | \(0.689511\pi\) | |||||||
\(432\) | 3.69403 | + | 1.53432i | 0.177729 | + | 0.0738200i | ||||
\(433\) | 5.61011 | − | 31.8165i | 0.269605 | − | 1.52901i | −0.485989 | − | 0.873965i | \(-0.661541\pi\) |
0.755594 | − | 0.655040i | \(-0.227348\pi\) | |||||||
\(434\) | −3.43833 | + | 1.04210i | −0.165045 | + | 0.0500222i | ||||
\(435\) | −2.24077 | − | 2.67044i | −0.107437 | − | 0.128038i | ||||
\(436\) | 18.7728 | + | 5.48167i | 0.899056 | + | 0.262524i | ||||
\(437\) | −0.00379150 | − | 11.6612i | −0.000181372 | − | 0.557831i | ||||
\(438\) | −8.22358 | − | 10.9683i | −0.392938 | − | 0.524085i | ||||
\(439\) | 8.18502 | − | 6.86805i | 0.390650 | − | 0.327794i | −0.426217 | − | 0.904621i | \(-0.640154\pi\) |
0.816866 | + | 0.576827i | \(0.195709\pi\) | |||||||
\(440\) | −0.143081 | − | 14.0541i | −0.00682112 | − | 0.670001i | ||||
\(441\) | 0.407840 | − | 2.31298i | 0.0194210 | − | 0.110142i | ||||
\(442\) | −6.86033 | + | 7.32114i | −0.326313 | + | 0.348231i | ||||
\(443\) | 10.3431 | + | 28.4174i | 0.491414 | + | 1.35015i | 0.899386 | + | 0.437155i | \(0.144014\pi\) |
−0.407972 | + | 0.912994i | \(0.633764\pi\) | |||||||
\(444\) | 8.09070 | + | 8.45987i | 0.383968 | + | 0.401488i | ||||
\(445\) | −4.45997 | + | 2.57496i | −0.211423 | + | 0.122065i | ||||
\(446\) | 1.59791 | + | 0.0876279i | 0.0756632 | + | 0.00414930i | ||||
\(447\) | −0.0426590 | − | 0.0357951i | −0.00201770 | − | 0.00169305i | ||||
\(448\) | −16.3298 | − | 5.56976i | −0.771512 | − | 0.263146i | ||||
\(449\) | −8.36925 | + | 14.4960i | −0.394969 | + | 0.684107i | −0.993097 | − | 0.117294i | \(-0.962578\pi\) |
0.598128 | + | 0.801401i | \(0.295911\pi\) | |||||||
\(450\) | −2.09807 | + | 3.21366i | −0.0989040 | + | 0.151493i | ||||
\(451\) | −12.7129 | + | 2.24163i | −0.598628 | + | 0.105554i | ||||
\(452\) | −27.1197 | − | 13.3903i | −1.27560 | − | 0.629828i | ||||
\(453\) | 6.46669 | − | 17.7671i | 0.303832 | − | 0.834771i | ||||
\(454\) | 18.3994 | + | 4.29483i | 0.863524 | + | 0.201567i | ||||
\(455\) | 13.4510 | 0.630590 | ||||||||
\(456\) | 8.02360 | + | 9.36066i | 0.375739 | + | 0.438353i | ||||
\(457\) | 22.0048 | 1.02934 | 0.514671 | − | 0.857388i | \(-0.327914\pi\) | ||||
0.514671 | + | 0.857388i | \(0.327914\pi\) | |||||||
\(458\) | 14.1603 | + | 3.30535i | 0.661669 | + | 0.154449i | ||||
\(459\) | 0.588254 | − | 1.61621i | 0.0274573 | − | 0.0754384i | ||||
\(460\) | −3.58167 | + | 7.25404i | −0.166996 | + | 0.338221i | ||||
\(461\) | 38.3848 | − | 6.76827i | 1.78776 | − | 0.315230i | 0.821001 | − | 0.570927i | \(-0.193416\pi\) |
0.966757 | + | 0.255697i | \(0.0823051\pi\) | |||||||
\(462\) | −5.47965 | + | 8.39331i | −0.254936 | + | 0.390492i | ||||
\(463\) | −13.6096 | + | 23.5725i | −0.632492 | + | 1.09551i | 0.354549 | + | 0.935037i | \(0.384634\pi\) |
−0.987041 | + | 0.160470i | \(0.948699\pi\) | |||||||
\(464\) | −9.21299 | − | 0.411207i | −0.427703 | − | 0.0190898i | ||||
\(465\) | −1.36439 | − | 1.14486i | −0.0632719 | − | 0.0530914i | ||||
\(466\) | −8.92099 | − | 0.489218i | −0.413257 | − | 0.0226626i | ||||
\(467\) | 23.0239 | − | 13.2929i | 1.06542 | − | 0.615121i | 0.138493 | − | 0.990363i | \(-0.455774\pi\) |
0.926927 | + | 0.375243i | \(0.122441\pi\) | |||||||
\(468\) | −5.96205 | + | 5.70188i | −0.275596 | + | 0.263569i | ||||
\(469\) | 1.03606 | + | 2.84656i | 0.0478409 | + | 0.131442i | ||||
\(470\) | 8.09425 | − | 8.63794i | 0.373360 | − | 0.398438i | ||||
\(471\) | 3.36470 | − | 19.0822i | 0.155037 | − | 0.879260i | ||||
\(472\) | 31.0023 | − | 0.315626i | 1.42699 | − | 0.0145279i | ||||
\(473\) | 23.3854 | − | 19.6227i | 1.07526 | − | 0.902251i | ||||
\(474\) | 4.56061 | + | 6.08276i | 0.209476 | + | 0.279391i | ||||
\(475\) | −10.2425 | + | 5.91794i | −0.469957 | + | 0.271534i | ||||
\(476\) | −2.07944 | + | 7.12138i | −0.0953111 | + | 0.326408i | ||||
\(477\) | −0.682292 | − | 0.813124i | −0.0312400 | − | 0.0372304i | ||||
\(478\) | −20.5075 | + | 6.21545i | −0.937991 | + | 0.284288i | ||||
\(479\) | 0.600472 | − | 3.40545i | 0.0274363 | − | 0.155599i | −0.968012 | − | 0.250905i | \(-0.919272\pi\) |
0.995448 | + | 0.0953061i | \(0.0303830\pi\) | |||||||
\(480\) | −2.11344 | − | 8.28803i | −0.0964648 | − | 0.378295i | ||||
\(481\) | −22.6866 | + | 8.25725i | −1.03442 | + | 0.376498i | ||||
\(482\) | −2.08008 | − | 17.2873i | −0.0947451 | − | 0.787414i | ||||
\(483\) | 4.99674 | − | 2.88487i | 0.227360 | − | 0.131266i | ||||
\(484\) | 0.331765 | − | 0.221446i | 0.0150802 | − | 0.0100657i | ||||
\(485\) | 12.5067 | − | 14.9049i | 0.567900 | − | 0.676797i | ||||
\(486\) | 0.555732 | − | 1.30045i | 0.0252085 | − | 0.0589895i | ||||
\(487\) | 20.6922 | − | 35.8399i | 0.937653 | − | 1.62406i | 0.167820 | − | 0.985818i | \(-0.446327\pi\) |
0.769833 | − | 0.638245i | \(-0.220339\pi\) | |||||||
\(488\) | −10.7230 | + | 9.18526i | −0.485405 | + | 0.415797i | ||||
\(489\) | −0.420853 | − | 2.38677i | −0.0190316 | − | 0.107934i | ||||
\(490\) | −4.48030 | + | 2.26916i | −0.202399 | + | 0.102510i | ||||
\(491\) | −6.97834 | + | 19.1728i | −0.314928 | + | 0.865258i | 0.676715 | + | 0.736245i | \(0.263403\pi\) |
−0.991643 | + | 0.129013i | \(0.958819\pi\) | |||||||
\(492\) | −7.19220 | + | 3.16048i | −0.324250 | + | 0.142485i | ||||
\(493\) | 3.96539i | 0.178592i | ||||||||
\(494\) | −24.3318 | + | 7.38315i | −1.09474 | + | 0.332184i | ||||
\(495\) | −4.96912 | −0.223345 | ||||||||
\(496\) | −4.67208 | + | 0.610479i | −0.209783 | + | 0.0274113i | ||||
\(497\) | −28.2604 | − | 10.2859i | −1.26765 | − | 0.461388i | ||||
\(498\) | 1.93235 | + | 3.81528i | 0.0865905 | + | 0.170967i | ||||
\(499\) | −17.8272 | + | 3.14342i | −0.798056 | + | 0.140719i | −0.557783 | − | 0.829987i | \(-0.688348\pi\) |
−0.240273 | + | 0.970705i | \(0.577237\pi\) | |||||||
\(500\) | 23.2776 | − | 1.51435i | 1.04101 | − | 0.0677238i | ||||
\(501\) | 20.0097 | + | 11.5526i | 0.893967 | + | 0.516132i | ||||
\(502\) | 6.46370 | − | 15.1255i | 0.288489 | − | 0.675083i | ||||
\(503\) | −2.85069 | − | 2.39201i | −0.127106 | − | 0.106655i | 0.577019 | − | 0.816731i | \(-0.304216\pi\) |
−0.704125 | + | 0.710076i | \(0.748660\pi\) | |||||||
\(504\) | −2.02788 | + | 5.75312i | −0.0903290 | + | 0.256265i | ||||
\(505\) | −6.72637 | − | 11.6504i | −0.299319 | − | 0.518437i | ||||
\(506\) | 12.3448 | − | 1.48538i | 0.548793 | − | 0.0660332i | ||||
\(507\) | −1.37299 | − | 3.77226i | −0.0609766 | − | 0.167532i | ||||
\(508\) | 5.77870 | + | 0.635709i | 0.256389 | + | 0.0282050i | ||||
\(509\) | −34.6366 | − | 6.10736i | −1.53524 | − | 0.270704i | −0.658837 | − | 0.752285i | \(-0.728951\pi\) |
−0.876401 | + | 0.481581i | \(0.840063\pi\) | |||||||
\(510\) | −3.51966 | + | 1.06675i | −0.155853 | + | 0.0472363i | ||||
\(511\) | 16.0150 | − | 13.4382i | 0.708462 | − | 0.594470i | ||||
\(512\) | −19.9323 | − | 10.7100i | −0.880890 | − | 0.473321i | ||||
\(513\) | 3.33820 | − | 2.80293i | 0.147385 | − | 0.123752i | ||||
\(514\) | −25.6549 | + | 19.2350i | −1.13159 | + | 0.848419i | ||||
\(515\) | 14.9724 | + | 17.8434i | 0.659762 | + | 0.786273i | ||||
\(516\) | 10.9926 | − | 14.9767i | 0.483921 | − | 0.659314i | ||||
\(517\) | −17.9172 | − | 3.15929i | −0.787998 | − | 0.138945i | ||||
\(518\) | −12.2065 | + | 13.0264i | −0.536321 | + | 0.572346i | ||||
\(519\) | −12.9897 | + | 4.72786i | −0.570184 | + | 0.207530i | ||||
\(520\) | 17.4027 | + | 2.88621i | 0.763159 | + | 0.126569i | ||||
\(521\) | 3.73877 | + | 6.47574i | 0.163798 | + | 0.283707i | 0.936228 | − | 0.351393i | \(-0.114292\pi\) |
−0.772430 | + | 0.635100i | \(0.780959\pi\) | |||||||
\(522\) | −0.178536 | + | 3.25564i | −0.00781431 | + | 0.142495i | ||||
\(523\) | 9.80737 | − | 11.6880i | 0.428846 | − | 0.511079i | −0.507743 | − | 0.861509i | \(-0.669520\pi\) |
0.936589 | + | 0.350429i | \(0.113964\pi\) | |||||||
\(524\) | −0.233649 | − | 0.956856i | −0.0102070 | − | 0.0418004i | ||||
\(525\) | −5.06873 | − | 2.92643i | −0.221218 | − | 0.127720i | ||||
\(526\) | 8.95441 | − | 13.7157i | 0.390431 | − | 0.598032i | ||||
\(527\) | 0.351811 | + | 1.99522i | 0.0153251 | + | 0.0869132i | ||||
\(528\) | −8.89050 | + | 9.68339i | −0.386909 | + | 0.421415i | ||||
\(529\) | 14.8875 | + | 5.41861i | 0.647283 | + | 0.235592i | ||||
\(530\) | −0.515938 | + | 2.21031i | −0.0224109 | + | 0.0960098i | ||||
\(531\) | − | 10.9615i | − | 0.475689i | ||||||
\(532\) | −13.5837 | + | 12.9994i | −0.588929 | + | 0.563596i | ||||
\(533\) | − | 16.2024i | − | 0.701802i | ||||||
\(534\) | 4.69072 | + | 1.09492i | 0.202987 | + | 0.0473819i | ||||
\(535\) | −28.8630 | − | 10.5053i | −1.24786 | − | 0.454182i | ||||
\(536\) | 0.729652 | + | 3.90516i | 0.0315162 | + | 0.168677i | ||||
\(537\) | −2.69508 | − | 15.2846i | −0.116301 | − | 0.659578i | ||||
\(538\) | −6.75134 | − | 4.40768i | −0.291071 | − | 0.190028i | ||||
\(539\) | 6.68457 | + | 3.85934i | 0.287925 | + | 0.166234i | ||||
\(540\) | −2.93772 | + | 0.717344i | −0.126419 | + | 0.0308696i | ||||
\(541\) | −1.40116 | + | 1.66983i | −0.0602404 | + | 0.0717917i | −0.795323 | − | 0.606186i | \(-0.792699\pi\) |
0.735083 | + | 0.677977i | \(0.237143\pi\) | |||||||
\(542\) | −29.2984 | − | 1.60670i | −1.25848 | − | 0.0690136i | ||||
\(543\) | −10.5185 | − | 18.2186i | −0.451393 | − | 0.781836i | ||||
\(544\) | −4.21842 | + | 8.76738i | −0.180863 | + | 0.375898i | ||||
\(545\) | −13.8934 | + | 5.05680i | −0.595129 | + | 0.216609i | ||||
\(546\) | −9.18026 | − | 8.60244i | −0.392879 | − | 0.368150i | ||||
\(547\) | 25.6212 | + | 4.51770i | 1.09548 | + | 0.193163i | 0.692052 | − | 0.721847i | \(-0.256707\pi\) |
0.403430 | + | 0.915010i | \(0.367818\pi\) | |||||||
\(548\) | −4.32152 | + | 5.88781i | −0.184606 | + | 0.251515i | ||||
\(549\) | 3.20872 | + | 3.82400i | 0.136945 | + | 0.163204i | ||||
\(550\) | −7.56623 | − | 10.0915i | −0.322625 | − | 0.430305i | ||||
\(551\) | −5.02198 | + | 8.70486i | −0.213944 | + | 0.370840i | ||||
\(552\) | 7.08375 | − | 2.66025i | 0.301504 | − | 0.113228i | ||||
\(553\) | −8.88156 | + | 7.45251i | −0.377682 | + | 0.316913i | ||||
\(554\) | −3.43363 | − | 11.3291i | −0.145881 | − | 0.481325i | ||||
\(555\) | −8.71533 | − | 1.53675i | −0.369945 | − | 0.0652313i | ||||
\(556\) | −1.48517 | + | 13.5004i | −0.0629852 | + | 0.572546i | ||||
\(557\) | 12.6080 | + | 34.6401i | 0.534216 | + | 1.46775i | 0.854008 | + | 0.520260i | \(0.174165\pi\) |
−0.319792 | + | 0.947488i | \(0.603613\pi\) | |||||||
\(558\) | 0.199010 | + | 1.65394i | 0.00842476 | + | 0.0700170i | ||||
\(559\) | 19.1578 | + | 33.1823i | 0.810288 | + | 1.40346i | ||||
\(560\) | 12.4439 | − | 3.91028i | 0.525852 | − | 0.165240i | ||||
\(561\) | 4.33002 | + | 3.63332i | 0.182814 | + | 0.153399i | ||||
\(562\) | 19.6476 | + | 8.39617i | 0.828783 | + | 0.354171i | ||||
\(563\) | −20.5616 | − | 11.8713i | −0.866570 | − | 0.500314i | −0.000363157 | − | 1.00000i | \(-0.500116\pi\) |
−0.866207 | + | 0.499685i | \(0.833449\pi\) | |||||||
\(564\) | −11.0486 | + | 0.718781i | −0.465231 | + | 0.0302661i | ||||
\(565\) | 22.5183 | − | 3.97059i | 0.947353 | − | 0.167044i | ||||
\(566\) | −4.42836 | + | 2.24286i | −0.186138 | + | 0.0942743i | ||||
\(567\) | 2.02663 | + | 0.737634i | 0.0851106 | + | 0.0309777i | ||||
\(568\) | −34.3559 | − | 19.3718i | −1.44154 | − | 0.812821i | ||||
\(569\) | −23.8113 | −0.998222 | −0.499111 | − | 0.866538i | \(-0.666340\pi\) | ||||
−0.499111 | + | 0.866538i | \(0.666340\pi\) | |||||||
\(570\) | −9.07738 | − | 2.11576i | −0.380210 | − | 0.0886194i | ||||
\(571\) | 33.6456i | 1.40802i | 0.710189 | + | 0.704011i | \(0.248610\pi\) | ||||
−0.710189 | + | 0.704011i | \(0.751390\pi\) | |||||||
\(572\) | −10.9072 | − | 24.8212i | −0.456053 | − | 1.03783i | ||||
\(573\) | 6.79540 | − | 18.6702i | 0.283882 | − | 0.779960i | ||||
\(574\) | −5.41313 | − | 10.6878i | −0.225940 | − | 0.446102i | ||||
\(575\) | 1.26071 | + | 7.14986i | 0.0525754 | + | 0.298170i | ||||
\(576\) | −3.85812 | + | 7.00820i | −0.160755 | + | 0.292009i | ||||
\(577\) | 12.3399 | − | 21.3733i | 0.513716 | − | 0.889783i | −0.486157 | − | 0.873871i | \(-0.661602\pi\) |
0.999873 | − | 0.0159113i | \(-0.00506494\pi\) | |||||||
\(578\) | −18.2606 | − | 7.80348i | −0.759542 | − | 0.324582i | ||||
\(579\) | 17.4377 | − | 20.7815i | 0.724688 | − | 0.863650i | ||||
\(580\) | 5.79891 | − | 3.87064i | 0.240787 | − | 0.160719i | ||||
\(581\) | −5.64827 | + | 3.26103i | −0.234330 | + | 0.135290i | ||||
\(582\) | −18.0681 | + | 2.17403i | −0.748947 | + | 0.0901166i | ||||
\(583\) | 3.27802 | − | 1.19310i | 0.135762 | − | 0.0494132i | ||||
\(584\) | 23.6035 | − | 13.9498i | 0.976720 | − | 0.577246i | ||||
\(585\) | 1.08301 | − | 6.14208i | 0.0447771 | − | 0.253944i | ||||
\(586\) | −1.83657 | − | 6.05966i | −0.0758681 | − | 0.250322i | ||||
\(587\) | −1.83853 | − | 2.19108i | −0.0758844 | − | 0.0904355i | 0.726767 | − | 0.686885i | \(-0.241022\pi\) |
−0.802651 | + | 0.596449i | \(0.796578\pi\) | |||||||
\(588\) | 4.50902 | + | 1.31663i | 0.185949 | + | 0.0542971i | ||||
\(589\) | −1.75456 | + | 4.82548i | −0.0722952 | + | 0.198831i | ||||
\(590\) | −18.7535 | + | 14.0606i | −0.772069 | + | 0.578866i | ||||
\(591\) | −3.41878 | + | 2.86870i | −0.140630 | + | 0.118002i | ||||
\(592\) | −18.5877 | + | 14.2342i | −0.763950 | + | 0.585022i | ||||
\(593\) | −6.42588 | + | 36.4430i | −0.263879 | + | 1.49653i | 0.508329 | + | 0.861163i | \(0.330263\pi\) |
−0.772208 | + | 0.635370i | \(0.780848\pi\) | |||||||
\(594\) | 3.39142 | + | 3.17796i | 0.139152 | + | 0.130393i | ||||
\(595\) | −1.91827 | − | 5.27040i | −0.0786414 | − | 0.216066i | ||||
\(596\) | 0.0804904 | − | 0.0769780i | 0.00329701 | − | 0.00315314i | ||||
\(597\) | 4.05803 | − | 2.34290i | 0.166084 | − | 0.0958887i | ||||
\(598\) | −0.854530 | + | 15.5825i | −0.0349443 | + | 0.637216i | ||||
\(599\) | 24.4535 | + | 20.5189i | 0.999141 | + | 0.838379i | 0.986865 | − | 0.161546i | \(-0.0516479\pi\) |
0.0122758 | + | 0.999925i | \(0.496092\pi\) | |||||||
\(600\) | −5.92994 | − | 4.87380i | −0.242089 | − | 0.198972i | ||||
\(601\) | −10.8423 | + | 18.7794i | −0.442266 | + | 0.766026i | −0.997857 | − | 0.0654289i | \(-0.979158\pi\) |
0.555592 | + | 0.831455i | \(0.312492\pi\) | |||||||
\(602\) | 23.7234 | + | 15.4881i | 0.966895 | + | 0.631247i | ||||
\(603\) | 1.38324 | − | 0.243902i | 0.0563297 | − | 0.00993245i | ||||
\(604\) | 33.9069 | + | 16.7415i | 1.37965 | + | 0.681201i | ||||
\(605\) | −0.103139 | + | 0.283371i | −0.00419318 | + | 0.0115207i | ||||
\(606\) | −2.86018 | + | 12.2532i | −0.116187 | + | 0.497752i | ||||
\(607\) | 16.9309 | 0.687203 | 0.343601 | − | 0.939116i | \(-0.388353\pi\) | ||||
0.343601 | + | 0.939116i | \(0.388353\pi\) | |||||||
\(608\) | −20.3638 | + | 13.9038i | −0.825861 | + | 0.563874i | ||||
\(609\) | −4.97235 | −0.201490 | ||||||||
\(610\) | 2.42638 | − | 10.3948i | 0.0982412 | − | 0.420872i | ||||
\(611\) | 7.81007 | − | 21.4580i | 0.315962 | − | 0.868097i | ||||
\(612\) | 3.08439 | + | 1.52292i | 0.124679 | + | 0.0615602i | ||||
\(613\) | 12.9439 | − | 2.28236i | 0.522799 | − | 0.0921836i | 0.0939803 | − | 0.995574i | \(-0.470041\pi\) |
0.428819 | + | 0.903390i | \(0.358930\pi\) | |||||||
\(614\) | 0.543529 | + | 0.354848i | 0.0219350 | + | 0.0143205i | ||||
\(615\) | 2.96959 | − | 5.14348i | 0.119745 | − | 0.207405i | ||||
\(616\) | −15.4876 | − | 12.7292i | −0.624012 | − | 0.512874i | ||||
\(617\) | 16.0917 | + | 13.5026i | 0.647829 | + | 0.543593i | 0.906411 | − | 0.422396i | \(-0.138811\pi\) |
−0.258583 | + | 0.965989i | \(0.583255\pi\) | |||||||
\(618\) | 1.19294 | − | 21.7535i | 0.0479872 | − | 0.875056i | ||||
\(619\) | 12.0659 | − | 6.96623i | 0.484968 | − | 0.279997i | −0.237516 | − | 0.971384i | \(-0.576333\pi\) |
0.722485 | + | 0.691387i | \(0.243000\pi\) | |||||||
\(620\) | 2.57437 | − | 2.46203i | 0.103389 | − | 0.0988775i | ||||
\(621\) | −0.914995 | − | 2.51393i | −0.0367175 | − | 0.100880i | ||||
\(622\) | −15.4271 | − | 14.4561i | −0.618569 | − | 0.579635i | ||||
\(623\) | −1.27557 | + | 7.23412i | −0.0511046 | + | 0.289829i | ||||
\(624\) | −10.0315 | − | 13.0996i | −0.401581 | − | 0.524403i | ||||
\(625\) | −3.11488 | + | 2.61370i | −0.124595 | + | 0.104548i | ||||
\(626\) | 37.2774 | − | 27.9491i | 1.48991 | − | 1.11707i | ||||
\(627\) | 4.90387 | + | 13.4597i | 0.195842 | + | 0.537527i | ||||
\(628\) | 37.1996 | + | 10.8623i | 1.48443 | + | 0.433453i | ||||
\(629\) | 6.47078 | + | 7.71157i | 0.258007 | + | 0.307481i | ||||
\(630\) | −1.33763 | − | 4.41344i | −0.0532926 | − | 0.175836i | ||||
\(631\) | 6.96318 | − | 39.4901i | 0.277200 | − | 1.57208i | −0.454687 | − | 0.890651i | \(-0.650249\pi\) |
0.731887 | − | 0.681426i | \(-0.238640\pi\) | |||||||
\(632\) | −13.0900 | + | 7.73624i | −0.520691 | + | 0.307731i | ||||
\(633\) | −22.8995 | + | 8.33475i | −0.910174 | + | 0.331276i | ||||
\(634\) | 32.5111 | − | 3.91188i | 1.29118 | − | 0.155361i | ||||
\(635\) | −3.80627 | + | 2.19755i | −0.151047 | + | 0.0872071i | ||||
\(636\) | 1.76571 | − | 1.17857i | 0.0700150 | − | 0.0467334i | ||||
\(637\) | −6.22723 | + | 7.42133i | −0.246732 | + | 0.294044i | ||||
\(638\) | −9.85346 | − | 4.21077i | −0.390102 | − | 0.166706i | ||||
\(639\) | −6.97226 | + | 12.0763i | −0.275818 | + | 0.477731i | ||||
\(640\) | 16.9389 | − | 2.38895i | 0.669568 | − | 0.0944315i | ||||
\(641\) | 3.93020 | + | 22.2892i | 0.155233 | + | 0.880372i | 0.958572 | + | 0.284850i | \(0.0919438\pi\) |
−0.803339 | + | 0.595522i | \(0.796945\pi\) | |||||||
\(642\) | 12.9804 | + | 25.6289i | 0.512296 | + | 1.01149i | ||||
\(643\) | −3.88057 | + | 10.6618i | −0.153035 | + | 0.420460i | −0.992392 | − | 0.123121i | \(-0.960710\pi\) |
0.839357 | + | 0.543581i | \(0.182932\pi\) | |||||||
\(644\) | 4.64236 | + | 10.5645i | 0.182935 | + | 0.416298i | ||||
\(645\) | 14.0451i | 0.553024i | ||||||||
\(646\) | 6.36290 | + | 8.48084i | 0.250345 | + | 0.333674i | ||||
\(647\) | 12.1699 | 0.478448 | 0.239224 | − | 0.970964i | \(-0.423107\pi\) | ||||
0.239224 | + | 0.970964i | \(0.423107\pi\) | |||||||
\(648\) | 2.46376 | + | 1.38920i | 0.0967856 | + | 0.0545731i | ||||
\(649\) | 33.8516 | + | 12.3210i | 1.32879 | + | 0.483641i | ||||
\(650\) | 14.1227 | − | 7.15280i | 0.553938 | − | 0.280556i | ||||
\(651\) | −2.50189 | + | 0.441150i | −0.0980566 | + | 0.0172900i | ||||
\(652\) | 4.83696 | − | 0.314674i | 0.189430 | − | 0.0123236i | ||||
\(653\) | 23.1361 | + | 13.3576i | 0.905386 | + | 0.522725i | 0.878944 | − | 0.476926i | \(-0.158249\pi\) |
0.0264422 | + | 0.999650i | \(0.491582\pi\) | |||||||
\(654\) | 12.7163 | + | 5.43416i | 0.497246 | + | 0.212493i | ||||
\(655\) | 0.570431 | + | 0.478648i | 0.0222886 | + | 0.0187023i | ||||
\(656\) | −4.71013 | − | 14.9893i | −0.183900 | − | 0.585236i | ||||
\(657\) | −4.84678 | − | 8.39488i | −0.189091 | − | 0.327515i | ||||
\(658\) | −2.01712 | − | 16.7640i | −0.0786356 | − | 0.653530i | ||||
\(659\) | 4.69365 | + | 12.8957i | 0.182839 | + | 0.502346i | 0.996922 | − | 0.0784031i | \(-0.0249821\pi\) |
−0.814083 | + | 0.580749i | \(0.802760\pi\) | |||||||
\(660\) | 1.08674 | − | 9.87864i | 0.0423012 | − | 0.384526i | ||||
\(661\) | 5.28545 | + | 0.931967i | 0.205580 | + | 0.0362493i | 0.275490 | − | 0.961304i | \(-0.411160\pi\) |
−0.0699097 | + | 0.997553i | \(0.522271\pi\) | |||||||
\(662\) | 7.58244 | + | 25.0178i | 0.294700 | + | 0.972345i | ||||
\(663\) | −5.43469 | + | 4.56024i | −0.211066 | + | 0.177105i | ||||
\(664\) | −8.00741 | + | 3.00712i | −0.310748 | + | 0.116699i | ||||
\(665\) | 2.46372 | − | 13.9990i | 0.0955388 | − | 0.542860i | ||||
\(666\) | 4.96539 | + | 6.62264i | 0.192405 | + | 0.256622i | ||||
\(667\) | 3.96467 | + | 4.72491i | 0.153513 | + | 0.182949i | ||||
\(668\) | −27.3427 | + | 37.2529i | −1.05792 | + | 1.44136i | ||||
\(669\) | 1.11440 | + | 0.196499i | 0.0430852 | + | 0.00759708i | ||||
\(670\) | −2.19159 | − | 2.05365i | −0.0846685 | − | 0.0793393i | ||||
\(671\) | −15.4160 | + | 5.61098i | −0.595130 | + | 0.216610i | ||||
\(672\) | −10.9938 | − | 5.28964i | −0.424093 | − | 0.204052i | ||||
\(673\) | 9.91857 | + | 17.1795i | 0.382333 | + | 0.662220i | 0.991395 | − | 0.130903i | \(-0.0417875\pi\) |
−0.609063 | + | 0.793122i | \(0.708454\pi\) | |||||||
\(674\) | 35.6422 | + | 1.95459i | 1.37289 | + | 0.0752878i | ||||
\(675\) | −1.74440 | + | 2.07890i | −0.0671421 | + | 0.0800169i | ||||
\(676\) | 7.79954 | − | 1.90452i | 0.299982 | − | 0.0732510i | ||||
\(677\) | −27.5121 | − | 15.8841i | −1.05737 | − | 0.610476i | −0.132670 | − | 0.991160i | \(-0.542355\pi\) |
−0.924705 | + | 0.380685i | \(0.875688\pi\) | |||||||
\(678\) | −17.9081 | − | 11.6915i | −0.687756 | − | 0.449008i | ||||
\(679\) | −4.81924 | − | 27.3313i | −0.184945 | − | 1.04888i | ||||
\(680\) | −1.35095 | − | 7.23041i | −0.0518066 | − | 0.277273i | ||||
\(681\) | 12.5543 | + | 4.56941i | 0.481083 | + | 0.175100i | ||||
\(682\) | −5.33144 | − | 1.24448i | −0.204151 | − | 0.0476537i | ||||
\(683\) | 25.2462i | 0.966020i | 0.875615 | + | 0.483010i | \(0.160457\pi\) | ||||
−0.875615 | + | 0.483010i | \(0.839543\pi\) | |||||||
\(684\) | 4.84219 | + | 7.24936i | 0.185146 | + | 0.277186i | ||||
\(685\) | − | 5.52154i | − | 0.210967i | ||||||
\(686\) | −6.48152 | + | 27.7673i | −0.247466 | + | 1.06016i | ||||
\(687\) | 9.66195 | + | 3.51666i | 0.368626 | + | 0.134169i | ||||
\(688\) | 27.3698 | + | 25.1287i | 1.04346 | + | 0.958024i | ||||
\(689\) | 0.760292 | + | 4.31183i | 0.0289648 | + | 0.164268i | ||||
\(690\) | −3.12726 | + | 4.79009i | −0.119053 | + | 0.182356i | ||||
\(691\) | −11.7380 | − | 6.77694i | −0.446534 | − | 0.257807i | 0.259831 | − | 0.965654i | \(-0.416333\pi\) |
−0.706365 | + | 0.707847i | \(0.749666\pi\) | |||||||
\(692\) | −6.55819 | − | 26.8575i | −0.249305 | − | 1.02097i | ||||
\(693\) | −4.55596 | + | 5.42958i | −0.173067 | + | 0.206253i | ||||
\(694\) | 1.25733 | − | 22.9277i | 0.0477278 | − | 0.870324i | ||||
\(695\) | −5.13400 | − | 8.89235i | −0.194744 | − | 0.337306i | ||||
\(696\) | −6.43318 | − | 1.06693i | −0.243849 | − | 0.0404420i | ||||
\(697\) | −6.34847 | + | 2.31065i | −0.240465 | + | 0.0875223i | ||||
\(698\) | −21.2561 | + | 22.6839i | −0.804555 | + | 0.858597i | ||||
\(699\) | −6.22159 | − | 1.09703i | −0.235322 | − | 0.0414936i | ||||
\(700\) | 6.92629 | − | 9.43666i | 0.261789 | − | 0.356672i | ||||
\(701\) | 16.2966 | + | 19.4216i | 0.615516 | + | 0.733543i | 0.980292 | − | 0.197552i | \(-0.0632991\pi\) |
−0.364777 | + | 0.931095i | \(0.618855\pi\) | |||||||
\(702\) | −4.66727 | + | 3.49933i | −0.176155 | + | 0.132074i | ||||
\(703\) | 4.43837 | + | 25.1235i | 0.167396 | + | 0.947549i | ||||
\(704\) | −17.3063 | − | 19.7921i | −0.652256 | − | 0.745943i | ||||
\(705\) | 6.41218 | − | 5.38046i | 0.241497 | − | 0.202640i | ||||
\(706\) | 32.7511 | − | 9.92628i | 1.23261 | − | 0.373580i | ||||
\(707\) | −18.8971 | − | 3.33207i | −0.710698 | − | 0.125315i | ||||
\(708\) | 21.7916 | + | 2.39727i | 0.818978 | + | 0.0900948i | ||||
\(709\) | 3.32334 | + | 9.13081i | 0.124811 | + | 0.342915i | 0.986323 | − | 0.164821i | \(-0.0527048\pi\) |
−0.861513 | + | 0.507736i | \(0.830483\pi\) | |||||||
\(710\) | 29.6042 | − | 3.56211i | 1.11103 | − | 0.133684i | ||||
\(711\) | 2.68792 | + | 4.65561i | 0.100805 | + | 0.174599i | ||||
\(712\) | −3.20257 | + | 9.08572i | −0.120021 | + | 0.340502i | ||||
\(713\) | 2.41406 | + | 2.02564i | 0.0904072 | + | 0.0758606i | ||||
\(714\) | −2.06142 | + | 4.82386i | −0.0771468 | + | 0.180528i | ||||
\(715\) | 17.7508 | + | 10.2484i | 0.663842 | + | 0.383269i | ||||
\(716\) | 30.9752 | − | 2.01513i | 1.15760 | − | 0.0753089i | ||||
\(717\) | −14.9222 | + | 2.63118i | −0.557279 | + | 0.0982633i | ||||
\(718\) | 14.5337 | + | 28.6959i | 0.542395 | + | 1.07092i | ||||
\(719\) | −23.0852 | − | 8.40234i | −0.860934 | − | 0.313354i | −0.126444 | − | 0.991974i | \(-0.540356\pi\) |
−0.734490 | + | 0.678619i | \(0.762579\pi\) | |||||||
\(720\) | −0.783610 | − | 5.99708i | −0.0292034 | − | 0.223498i | ||||
\(721\) | 33.2243 | 1.23734 | ||||||||
\(722\) | 3.22732 | + | 26.6755i | 0.120108 | + | 0.992761i | ||||
\(723\) | − | 12.3121i | − | 0.457893i | ||||||
\(724\) | 38.5191 | − | 16.9265i | 1.43155 | − | 0.629069i | ||||
\(725\) | 2.13995 | − | 5.87947i | 0.0794758 | − | 0.218358i | ||||
\(726\) | 0.251620 | − | 0.127439i | 0.00933848 | − | 0.00472971i | ||||
\(727\) | −1.56552 | − | 8.87852i | −0.0580620 | − | 0.329286i | 0.941916 | − | 0.335847i | \(-0.109023\pi\) |
−0.999978 | + | 0.00656128i | \(0.997911\pi\) | |||||||
\(728\) | 19.1094 | − | 16.3691i | 0.708242 | − | 0.606679i | ||||
\(729\) | 0.500000 | − | 0.866025i | 0.0185185 | − | 0.0320750i | ||||
\(730\) | −8.14526 | + | 19.0604i | −0.301470 | + | 0.705458i | ||||
\(731\) | 10.2695 | − | 12.2387i | 0.379830 | − | 0.452664i | ||||
\(732\) | −8.30388 | + | 5.54265i | −0.306920 | + | 0.204862i | ||||
\(733\) | 20.7084 | − | 11.9560i | 0.764884 | − | 0.441606i | −0.0661627 | − | 0.997809i | \(-0.521076\pi\) |
0.831046 | + | 0.556203i | \(0.187742\pi\) | |||||||
\(734\) | −3.81608 | − | 31.7149i | −0.140854 | − | 1.17062i | ||||
\(735\) | −3.33704 | + | 1.21458i | −0.123089 | + | 0.0448006i | ||||
\(736\) | 3.73939 | + | 14.6643i | 0.137836 | + | 0.540534i | ||||
\(737\) | −0.801564 | + | 4.54590i | −0.0295260 | + | 0.167450i | ||||
\(738\) | −5.31621 | + | 1.61125i | −0.195692 | + | 0.0593108i | ||||
\(739\) | 0.746940 | + | 0.890169i | 0.0274766 | + | 0.0327454i | 0.779608 | − | 0.626268i | \(-0.215418\pi\) |
−0.752131 | + | 0.659013i | \(0.770974\pi\) | |||||||
\(740\) | 4.96109 | − | 16.9900i | 0.182373 | − | 0.624567i | ||||
\(741\) | −17.7056 | + | 3.12791i | −0.650432 | + | 0.114907i | ||||
\(742\) | 1.94209 | + | 2.59028i | 0.0712963 | + | 0.0950922i | ||||
\(743\) | −17.6764 | + | 14.8323i | −0.648485 | + | 0.544144i | −0.906611 | − | 0.421968i | \(-0.861340\pi\) |
0.258126 | + | 0.966111i | \(0.416895\pi\) | |||||||
\(744\) | −3.33157 | + | 0.0339179i | −0.122141 | + | 0.00124349i | ||||
\(745\) | −0.0146212 | + | 0.0829209i | −0.000535679 | + | 0.00303799i | ||||
\(746\) | −34.0559 | + | 36.3434i | −1.24687 | + | 1.33063i | ||||
\(747\) | 1.03430 | + | 2.84172i | 0.0378432 | + | 0.103973i | ||||
\(748\) | −8.17003 | + | 7.81351i | −0.298726 | + | 0.285690i | ||||
\(749\) | −37.9419 | + | 21.9058i | −1.38637 | + | 0.800419i | ||||
\(750\) | 16.4698 | + | 0.903188i | 0.601392 | + | 0.0329797i | ||||
\(751\) | −21.6508 | − | 18.1671i | −0.790047 | − | 0.662928i | 0.155710 | − | 0.987803i | \(-0.450233\pi\) |
−0.945757 | + | 0.324875i | \(0.894678\pi\) | |||||||
\(752\) | 0.987377 | − | 22.1220i | 0.0360059 | − | 0.806705i | ||||
\(753\) | 5.81549 | − | 10.0727i | 0.211928 | − | 0.367070i | ||||
\(754\) | 7.35227 | − | 11.2616i | 0.267754 | − | 0.410125i | ||||
\(755\) | −28.1539 | + | 4.96429i | −1.02462 | + | 0.180669i | ||||
\(756\) | −1.90964 | + | 3.86764i | −0.0694530 | + | 0.140665i | ||||
\(757\) | 6.67418 | − | 18.3372i | 0.242577 | − | 0.666476i | −0.757332 | − | 0.653030i | \(-0.773498\pi\) |
0.999910 | − | 0.0134460i | \(-0.00428012\pi\) | |||||||
\(758\) | 13.7216 | + | 3.20295i | 0.498393 | + | 0.116336i | ||||
\(759\) | 8.79205 | 0.319131 | ||||||||
\(760\) | 6.19135 | − | 17.5832i | 0.224584 | − | 0.637809i | ||||
\(761\) | 33.1022 | 1.19996 | 0.599978 | − | 0.800017i | \(-0.295176\pi\) | ||||
0.599978 | + | 0.800017i | \(0.295176\pi\) | |||||||
\(762\) | 4.00320 | + | 0.934439i | 0.145021 | + | 0.0338512i | ||||
\(763\) | −7.21288 | + | 19.8172i | −0.261124 | + | 0.717431i | ||||
\(764\) | 35.6304 | + | 17.5925i | 1.28906 | + | 0.636473i | ||||
\(765\) | −2.56106 | + | 0.451585i | −0.0925955 | + | 0.0163271i | ||||
\(766\) | −8.97832 | + | 13.7523i | −0.324400 | + | 0.496891i | ||||
\(767\) | −22.6073 | + | 39.1570i | −0.816302 | + | 1.41388i | ||||
\(768\) | −13.0886 | − | 9.20265i | −0.472294 | − | 0.332072i | ||||
\(769\) | −24.5404 | − | 20.5918i | −0.884950 | − | 0.742561i | 0.0822409 | − | 0.996612i | \(-0.473792\pi\) |
−0.967191 | + | 0.254051i | \(0.918237\pi\) | |||||||
\(770\) | 15.1332 | + | 0.829891i | 0.545363 | + | 0.0299072i | ||||
\(771\) | −19.6356 | + | 11.3366i | −0.707160 | + | 0.408279i | ||||
\(772\) | 37.5001 | + | 39.2112i | 1.34966 | + | 1.41124i | ||||
\(773\) | −4.91296 | − | 13.4982i | −0.176707 | − | 0.485498i | 0.819443 | − | 0.573160i | \(-0.194283\pi\) |
−0.996150 | + | 0.0876620i | \(0.972060\pi\) | |||||||
\(774\) | 8.98240 | − | 9.58574i | 0.322866 | − | 0.344552i | ||||
\(775\) | 0.555107 | − | 3.14817i | 0.0199400 | − | 0.113085i | ||||
\(776\) | −0.370528 | − | 36.3950i | −0.0133012 | − | 1.30650i | ||||
\(777\) | −9.66984 | + | 8.11396i | −0.346904 | + | 0.291087i | ||||
\(778\) | 7.83412 | + | 10.4488i | 0.280867 | + | 0.374609i | ||||
\(779\) | −16.8626 | − | 2.96767i | −0.604164 | − | 0.106328i | ||||
\(780\) | 11.9736 | + | 3.49630i | 0.428725 | + | 0.125188i | ||||
\(781\) | −29.4574 | − | 35.1059i | −1.05407 | − | 1.25619i | ||||
\(782\) | 6.22747 | − | 1.88743i | 0.222694 | − | 0.0674944i | ||||
\(783\) | −0.400353 | + | 2.27052i | −0.0143075 | + | 0.0811416i | ||||
\(784\) | −3.60359 | + | 8.67602i | −0.128700 | + | 0.309858i | ||||
\(785\) | −27.5308 | + | 10.0204i | −0.982616 | + | 0.357643i | ||||
\(786\) | −0.0832032 | − | 0.691491i | −0.00296776 | − | 0.0246647i | ||||
\(787\) | 38.8604 | − | 22.4360i | 1.38522 | − | 0.799758i | 0.392450 | − | 0.919773i | \(-0.371628\pi\) |
0.992772 | + | 0.120015i | \(0.0382943\pi\) | |||||||
\(788\) | −4.95530 | − | 7.42393i | −0.176525 | − | 0.264467i | ||||
\(789\) | 7.44499 | − | 8.87259i | 0.265048 | − | 0.315872i | ||||
\(790\) | 4.51718 | − | 10.5705i | 0.160714 | − | 0.376081i | ||||
\(791\) | 16.3075 | − | 28.2454i | 0.579828 | − | 1.00429i | ||||
\(792\) | −7.05949 | + | 6.04715i | −0.250848 | + | 0.214876i | ||||
\(793\) | −3.57554 | − | 20.2779i | −0.126971 | − | 0.720090i | ||||
\(794\) | 23.3928 | − | 11.8479i | 0.830178 | − | 0.420465i | ||||
\(795\) | −0.548922 | + | 1.50815i | −0.0194683 | + | 0.0534886i | ||||
\(796\) | 3.77022 | + | 8.57978i | 0.133632 | + | 0.304102i | ||||
\(797\) | 51.5044i | 1.82438i | 0.409768 | + | 0.912190i | \(0.365610\pi\) | ||||
−0.409768 | + | 0.912190i | \(0.634390\pi\) | |||||||
\(798\) | −10.6344 | + | 7.97869i | −0.376455 | + | 0.282442i | ||||
\(799\) | −9.52157 | −0.336849 | ||||||||
\(800\) | 10.9860 | − | 10.7229i | 0.388414 | − | 0.379110i | ||||
\(801\) | 3.20059 | + | 1.16492i | 0.113087 | + | 0.0411605i | ||||
\(802\) | −3.40690 | − | 6.72669i | −0.120302 | − | 0.237528i | ||||
\(803\) | 31.3732 | − | 5.53193i | 1.10713 | − | 0.195218i | ||||
\(804\) | 0.182367 | + | 2.80322i | 0.00643158 | + | 0.0988621i | ||||
\(805\) | −7.55515 | − | 4.36197i | −0.266284 | − | 0.153739i | ||||
\(806\) | 2.70022 | − | 6.31869i | 0.0951113 | − | 0.222566i | ||||
\(807\) | −4.36740 | − | 3.66468i | −0.153740 | − | 0.129003i | ||||
\(808\) | −23.7339 | − | 8.36580i | −0.834956 | − | 0.294308i | ||||
\(809\) | 3.25769 | + | 5.64248i | 0.114534 | + | 0.198379i | 0.917593 | − | 0.397520i | \(-0.130129\pi\) |
−0.803059 | + | 0.595899i | \(0.796796\pi\) | |||||||
\(810\) | −2.12300 | + | 0.255449i | −0.0745946 | + | 0.00897555i | ||||
\(811\) | −5.94884 | − | 16.3443i | −0.208892 | − | 0.573926i | 0.790358 | − | 0.612645i | \(-0.209895\pi\) |
−0.999250 | + | 0.0387189i | \(0.987672\pi\) | |||||||
\(812\) | 1.08745 | − | 9.88507i | 0.0381619 | − | 0.346898i | ||||
\(813\) | −20.4330 | − | 3.60290i | −0.716618 | − | 0.126359i | ||||
\(814\) | −26.0334 | + | 7.89025i | −0.912471 | + | 0.276553i | ||||
\(815\) | −2.80718 | + | 2.35550i | −0.0983312 | + | 0.0825096i | ||||
\(816\) | −3.70212 | + | 5.79873i | −0.129600 | + | 0.202996i | ||||
\(817\) | 38.0433 | − | 13.8607i | 1.33097 | − | 0.484923i | ||||
\(818\) | −6.51932 | + | 4.88792i | −0.227943 | + | 0.170902i | ||||
\(819\) | −5.71827 | − | 6.81476i | −0.199812 | − | 0.238127i | ||||
\(820\) | 9.57583 | + | 7.02844i | 0.334403 | + | 0.245444i | ||||
\(821\) | −37.3691 | − | 6.58918i | −1.30419 | − | 0.229964i | −0.521969 | − | 0.852964i | \(-0.674802\pi\) |
−0.782222 | + | 0.623000i | \(0.785914\pi\) | |||||||
\(822\) | −3.53125 | + | 3.76844i | −0.123167 | + | 0.131440i | ||||
\(823\) | −3.06516 | + | 1.11563i | −0.106845 | + | 0.0388883i | −0.394889 | − | 0.918729i | \(-0.629217\pi\) |
0.288045 | + | 0.957617i | \(0.406995\pi\) | |||||||
\(824\) | 42.9853 | + | 7.12905i | 1.49746 | + | 0.248352i | ||||
\(825\) | −4.45936 | − | 7.72384i | −0.155255 | − | 0.268910i | ||||
\(826\) | −1.83068 | + | 33.3828i | −0.0636975 | + | 1.16154i | ||||
\(827\) | 29.7563 | − | 35.4622i | 1.03473 | − | 1.23314i | 0.0627591 | − | 0.998029i | \(-0.480010\pi\) |
0.971968 | − | 0.235112i | \(-0.0755455\pi\) | |||||||
\(828\) | 5.19781 | − | 1.26922i | 0.180636 | − | 0.0441086i | ||||
\(829\) | −0.127732 | − | 0.0737462i | −0.00443632 | − | 0.00256131i | 0.497780 | − | 0.867303i | \(-0.334149\pi\) |
−0.502217 | + | 0.864742i | \(0.667482\pi\) | |||||||
\(830\) | 3.53503 | − | 5.41468i | 0.122703 | − | 0.187946i | ||||
\(831\) | −1.45356 | − | 8.24353i | −0.0504233 | − | 0.285965i | ||||
\(832\) | 28.2359 | − | 17.0778i | 0.978905 | − | 0.592066i | ||||
\(833\) | 3.79593 | + | 1.38161i | 0.131521 | + | 0.0478698i | ||||
\(834\) | −2.18307 | + | 9.35243i | −0.0755936 | + | 0.323848i | ||||
\(835\) | − | 34.9354i | − | 1.20899i | ||||||
\(836\) | −27.8304 | + | 6.80533i | −0.962534 | + | 0.235367i | ||||
\(837\) | 1.17795i | 0.0407159i | ||||||||
\(838\) | −2.37736 | − | 0.554931i | −0.0821245 | − | 0.0191698i | ||||
\(839\) | −38.3067 | − | 13.9425i | −1.32249 | − | 0.481349i | −0.418238 | − | 0.908338i | \(-0.637352\pi\) |
−0.904257 | + | 0.426989i | \(0.859574\pi\) | |||||||
\(840\) | 9.06648 | − | 1.69401i | 0.312823 | − | 0.0584489i | ||||
\(841\) | 4.11277 | + | 23.3247i | 0.141820 | + | 0.804299i | ||||
\(842\) | −18.3197 | − | 11.9602i | −0.631339 | − | 0.412176i | ||||
\(843\) | 13.0842 | + | 7.55416i | 0.450643 | + | 0.260179i | ||||
\(844\) | −11.5614 | − | 47.3472i | −0.397961 | − | 1.62976i | ||||
\(845\) | −3.90157 | + | 4.64971i | −0.134218 | + | 0.159955i | ||||
\(846\) | −7.81733 | − | 0.428695i | −0.268765 | − | 0.0147388i | ||||
\(847\) | 0.215066 | + | 0.372506i | 0.00738977 | + | 0.0127995i | ||||
\(848\) | 1.95685 | + | 3.76800i | 0.0671985 | + | 0.129394i | ||||
\(849\) | −3.29836 | + | 1.20051i | −0.113199 | + | 0.0412012i | ||||
\(850\) | −4.81671 | − | 4.51354i | −0.165212 | − | 0.154813i | ||||
\(851\) | 15.4204 | + | 2.71903i | 0.528603 | + | 0.0932070i | ||||
\(852\) | −22.4829 | − | 16.5020i | −0.770253 | − | 0.565348i | ||||
\(853\) | −0.670666 | − | 0.799269i | −0.0229632 | − | 0.0273665i | 0.754441 | − | 0.656368i | \(-0.227908\pi\) |
−0.777404 | + | 0.629002i | \(0.783464\pi\) | |||||||
\(854\) | −9.13336 | − | 12.1817i | −0.312537 | − | 0.416849i | ||||
\(855\) | −6.19399 | − | 2.25215i | −0.211830 | − | 0.0770218i | ||||
\(856\) | −53.7892 | + | 20.2001i | −1.83848 | + | 0.690427i | ||||
\(857\) | −25.8742 | + | 21.7110i | −0.883845 | + | 0.741634i | −0.966966 | − | 0.254905i | \(-0.917956\pi\) |
0.0831208 | + | 0.996539i | \(0.473511\pi\) | |||||||
\(858\) | −5.56061 | − | 18.3469i | −0.189836 | − | 0.626353i | ||||
\(859\) | −40.8604 | − | 7.20479i | −1.39414 | − | 0.245824i | −0.574406 | − | 0.818571i | \(-0.694767\pi\) |
−0.819733 | + | 0.572747i | \(0.805878\pi\) | |||||||
\(860\) | −27.9217 | − | 3.07163i | −0.952121 | − | 0.104742i | ||||
\(861\) | −2.89742 | − | 7.96059i | −0.0987438 | − | 0.271296i | ||||
\(862\) | −5.68316 | − | 47.2319i | −0.193569 | − | 1.60873i | ||||
\(863\) | 3.00327 | + | 5.20181i | 0.102232 | + | 0.177072i | 0.912604 | − | 0.408844i | \(-0.134068\pi\) |
−0.810372 | + | 0.585916i | \(0.800735\pi\) | |||||||
\(864\) | −3.30057 | + | 4.59415i | −0.112288 | + | 0.156296i | ||||
\(865\) | 16.0112 | + | 13.4350i | 0.544396 | + | 0.456802i | ||||
\(866\) | 42.0140 | + | 17.9542i | 1.42769 | + | 0.610109i | ||||
\(867\) | −12.1606 | − | 7.02091i | −0.412994 | − | 0.238442i | ||||
\(868\) | −0.329850 | − | 5.07024i | −0.0111959 | − | 0.172095i | ||||
\(869\) | −17.3989 | + | 3.06789i | −0.590216 | + | 0.104071i | ||||
\(870\) | 4.39805 | − | 2.22750i | 0.149108 | − | 0.0755194i | ||||
\(871\) | −5.44425 | − | 1.98155i | −0.184472 | − | 0.0671421i | ||||
\(872\) | −13.5842 | + | 24.0916i | −0.460019 | + | 0.815845i | ||||
\(873\) | −12.8682 | −0.435524 | ||||||||
\(874\) | 16.0609 | + | 3.74349i | 0.543270 | + | 0.126625i | ||||
\(875\) | 25.1544i | 0.850374i | ||||||||
\(876\) | 17.7491 | − | 7.79949i | 0.599685 | − | 0.263520i | ||||
\(877\) | −11.9150 | + | 32.7362i | −0.402341 | + | 1.10542i | 0.558785 | + | 0.829312i | \(0.311268\pi\) |
−0.961126 | + | 0.276110i | \(0.910955\pi\) | |||||||
\(878\) | 6.82739 | + | 13.4802i | 0.230413 | + | 0.454935i | ||||
\(879\) | −0.777476 | − | 4.40928i | −0.0262236 | − | 0.148721i | ||||
\(880\) | 19.4011 | + | 4.32089i | 0.654012 | + | 0.145657i | ||||
\(881\) | −1.52775 | + | 2.64615i | −0.0514713 | + | 0.0891509i | −0.890613 | − | 0.454762i | \(-0.849724\pi\) |
0.839142 | + | 0.543913i | \(0.183058\pi\) | |||||||
\(882\) | 3.05431 | + | 1.30522i | 0.102844 | + | 0.0439492i | ||||
\(883\) | −18.6461 | + | 22.2216i | −0.627492 | + | 0.747816i | −0.982339 | − | 0.187108i | \(-0.940089\pi\) |
0.354847 | + | 0.934924i | \(0.384533\pi\) | |||||||
\(884\) | −7.87724 | − | 11.8015i | −0.264940 | − | 0.396928i | ||||
\(885\) | −14.3535 | + | 8.28699i | −0.482487 | + | 0.278564i | ||||
\(886\) | −42.4611 | + | 5.10911i | −1.42651 | + | 0.171644i | ||||
\(887\) | −9.66781 | + | 3.51879i | −0.324613 | + | 0.118150i | −0.499186 | − | 0.866495i | \(-0.666368\pi\) |
0.174573 | + | 0.984644i | \(0.444145\pi\) | |||||||
\(888\) | −14.2518 | + | 8.42287i | −0.478258 | + | 0.282653i | ||||
\(889\) | −1.08861 | + | 6.17381i | −0.0365108 | + | 0.207063i | ||||
\(890\) | −2.11248 | − | 6.97000i | −0.0708105 | − | 0.233635i | ||||
\(891\) | 2.11247 | + | 2.51754i | 0.0707704 | + | 0.0843409i | ||||
\(892\) | −0.634358 | + | 2.17246i | −0.0212399 | + | 0.0727393i | ||||
\(893\) | −20.9018 | − | 12.0586i | −0.699453 | − | 0.403526i | ||||
\(894\) | 0.0630103 | − | 0.0472426i | 0.00210738 | − | 0.00158003i | ||||
\(895\) | −17.9768 | + | 15.0843i | −0.600898 | + | 0.504213i | ||||
\(896\) | 12.9202 | − | 20.6988i | 0.431632 | − | 0.691499i | ||||
\(897\) | −1.91622 | + | 10.8674i | −0.0639806 | + | 0.362852i | ||||
\(898\) | −17.2733 | − | 16.1861i | −0.576417 | − | 0.540136i | ||||
\(899\) | −0.928863 | − | 2.55203i | −0.0309793 | − | 0.0851149i | ||||
\(900\) | −3.75137 | − | 3.92254i | −0.125046 | − | 0.130751i | ||||
\(901\) | 1.58105 | − | 0.912821i | 0.0526725 | − | 0.0304105i | ||||
\(902\) | 0.999646 | − | 18.2287i | 0.0332846 | − | 0.606950i | ||||
\(903\) | 15.3465 | + | 12.8773i | 0.510701 | + | 0.428529i | ||||
\(904\) | 27.1592 | − | 33.0445i | 0.903301 | − | 1.09904i | ||||
\(905\) | −15.9042 | + | 27.5468i | −0.528673 | + | 0.915688i | ||||
\(906\) | 22.3899 | + | 14.6174i | 0.743853 | + | 0.485632i | ||||
\(907\) | −40.1764 | + | 7.08418i | −1.33403 | + | 0.235226i | −0.794770 | − | 0.606910i | \(-0.792409\pi\) |
−0.539264 | + | 0.842136i | \(0.681298\pi\) | |||||||
\(908\) | −11.8296 | + | 23.9588i | −0.392580 | + | 0.795100i | ||||
\(909\) | −3.04303 | + | 8.36066i | −0.100931 | + | 0.277305i | ||||
\(910\) | −4.32406 | + | 18.5245i | −0.143341 | + | 0.614083i | ||||
\(911\) | 9.89762 | 0.327923 | 0.163961 | − | 0.986467i | \(-0.447573\pi\) | ||||
0.163961 | + | 0.986467i | \(0.447573\pi\) | |||||||
\(912\) | −15.4708 | + | 8.04088i | −0.512288 | + | 0.266260i | ||||
\(913\) | −9.93846 | −0.328915 | ||||||||
\(914\) | −7.07386 | + | 30.3049i | −0.233983 | + | 1.00240i | ||||
\(915\) | 2.58150 | − | 7.09261i | 0.0853417 | − | 0.234474i | ||||
\(916\) | −9.10420 | + | 18.4389i | −0.300811 | + | 0.609240i | ||||
\(917\) | 1.04600 | − | 0.184439i | 0.0345421 | − | 0.00609070i | ||||
\(918\) | 2.03673 | + | 1.32970i | 0.0672221 | + | 0.0438866i | ||||
\(919\) | 25.5182 | − | 44.1989i | 0.841769 | − | 1.45799i | −0.0466293 | − | 0.998912i | \(-0.514848\pi\) |
0.888398 | − | 0.459074i | \(-0.151819\pi\) | |||||||
\(920\) | −8.83881 | − | 7.26460i | −0.291407 | − | 0.239507i | ||||
\(921\) | 0.351605 | + | 0.295032i | 0.0115858 | + | 0.00972163i | ||||
\(922\) | −3.01829 | + | 55.0390i | −0.0994020 | + | 1.81261i | ||||
\(923\) | 49.8129 | − | 28.7595i | 1.63961 | − | 0.946630i | ||||
\(924\) | −9.79766 | − | 10.2447i | −0.322319 | − | 0.337026i | ||||
\(925\) | −5.43259 | − | 14.9259i | −0.178623 | − | 0.490762i | ||||
\(926\) | −28.0888 | − | 26.3208i | −0.923056 | − | 0.864957i | ||||
\(927\) | 2.67508 | − | 15.1712i | 0.0878613 | − | 0.498286i | ||||
\(928\) | 3.52800 | − | 12.5559i | 0.115812 | − | 0.412167i | ||||
\(929\) | 40.1073 | − | 33.6540i | 1.31588 | − | 1.10415i | 0.328715 | − | 0.944429i | \(-0.393384\pi\) |
0.987162 | − | 0.159723i | \(-0.0510601\pi\) | |||||||
\(930\) | 2.01529 | − | 1.51099i | 0.0660840 | − | 0.0495472i | ||||
\(931\) | 6.58313 | + | 7.84029i | 0.215753 | + | 0.256955i | ||||
\(932\) | 3.54156 | − | 12.1286i | 0.116008 | − | 0.397287i | ||||
\(933\) | −9.60932 | − | 11.4519i | −0.314595 | − | 0.374920i | ||||
\(934\) | 10.9054 | + | 35.9816i | 0.356834 | + | 1.17735i | ||||
\(935\) | 1.48410 | − | 8.41673i | 0.0485352 | − | 0.275257i | ||||
\(936\) | −5.93597 | − | 10.0439i | −0.194023 | − | 0.328294i | ||||
\(937\) | 17.4746 | − | 6.36024i | 0.570871 | − | 0.207780i | −0.0404245 | − | 0.999183i | \(-0.512871\pi\) |
0.611295 | + | 0.791403i | \(0.290649\pi\) | |||||||
\(938\) | −4.25332 | + | 0.511778i | −0.138876 | + | 0.0167101i | ||||
\(939\) | 28.5313 | − | 16.4726i | 0.931084 | − | 0.537562i | ||||
\(940\) | 9.29405 | + | 13.9242i | 0.303139 | + | 0.454156i | ||||
\(941\) | 8.30238 | − | 9.89439i | 0.270650 | − | 0.322548i | −0.613551 | − | 0.789655i | \(-0.710259\pi\) |
0.884201 | + | 0.467107i | \(0.154704\pi\) | |||||||
\(942\) | 25.1982 | + | 10.7682i | 0.821001 | + | 0.350846i | ||||
\(943\) | −5.25421 | + | 9.10056i | −0.171101 | + | 0.296355i | ||||
\(944\) | −9.53157 | + | 42.7975i | −0.310226 | + | 1.39294i | ||||
\(945\) | −0.566260 | − | 3.21142i | −0.0184204 | − | 0.104467i | ||||
\(946\) | 19.5065 | + | 38.5142i | 0.634212 | + | 1.25221i | ||||
\(947\) | −5.58326 | + | 15.3399i | −0.181432 | + | 0.498479i | −0.996752 | − | 0.0805305i | \(-0.974339\pi\) |
0.815320 | + | 0.579010i | \(0.196561\pi\) | |||||||
\(948\) | −9.84323 | + | 4.32542i | −0.319693 | + | 0.140483i | ||||
\(949\) | 39.9845i | 1.29795i | ||||||||
\(950\) | −4.85751 | − | 16.0083i | −0.157598 | − | 0.519378i | ||||
\(951\) | 23.1546 | 0.750840 | ||||||||
\(952\) | −9.13904 | − | 5.15309i | −0.296198 | − | 0.167013i | ||||
\(953\) | −31.9413 | − | 11.6257i | −1.03468 | − | 0.376593i | −0.231819 | − | 0.972759i | \(-0.574468\pi\) |
−0.802861 | + | 0.596166i | \(0.796690\pi\) | |||||||
\(954\) | 1.33916 | − | 0.678253i | 0.0433570 | − | 0.0219593i | ||||
\(955\) | −29.5850 | + | 5.21663i | −0.957347 | + | 0.168806i | ||||
\(956\) | −1.96735 | − | 30.2408i | −0.0636287 | − | 0.978058i | ||||
\(957\) | −6.56186 | − | 3.78849i | −0.212115 | − | 0.122464i | ||||
\(958\) | 4.49692 | + | 1.92171i | 0.145289 | + | 0.0620876i | ||||
\(959\) | −6.03319 | − | 5.06245i | −0.194822 | − | 0.163475i | ||||
\(960\) | 12.0936 | − | 0.246270i | 0.390320 | − | 0.00794832i | ||||
\(961\) | 14.8062 | + | 25.6451i | 0.477620 | + | 0.827262i | ||||
\(962\) | −4.07879 | − | 33.8983i | −0.131505 | − | 1.09292i | ||||
\(963\) | 6.94786 | + | 19.0891i | 0.223892 | + | 0.615137i | ||||
\(964\) | 24.4766 | + | 2.69264i | 0.788337 | + | 0.0867241i | ||||
\(965\) | −40.3953 | − | 7.12278i | −1.30037 | − | 0.229290i | ||||
\(966\) | 2.36672 | + | 7.80886i | 0.0761481 | + | 0.251246i | ||||
\(967\) | 15.3090 | − | 12.8458i | 0.492305 | − | 0.413093i | −0.362547 | − | 0.931966i | \(-0.618093\pi\) |
0.854851 | + | 0.518873i | \(0.173648\pi\) | |||||||
\(968\) | 0.198321 | + | 0.528092i | 0.00637428 | + | 0.0169735i | ||||
\(969\) | 3.75063 | + | 6.49141i | 0.120488 | + | 0.208534i | ||||
\(970\) | 16.5064 | + | 22.0156i | 0.529989 | + | 0.706878i | ||||
\(971\) | −18.6759 | − | 22.2570i | −0.599337 | − | 0.714262i | 0.378034 | − | 0.925792i | \(-0.376600\pi\) |
−0.977372 | + | 0.211529i | \(0.932156\pi\) | |||||||
\(972\) | 1.61232 | + | 1.18340i | 0.0517150 | + | 0.0379576i | ||||
\(973\) | −14.4235 | − | 2.54325i | −0.462396 | − | 0.0815329i | ||||
\(974\) | 42.7066 | + | 40.0185i | 1.36841 | + | 1.28228i | ||||
\(975\) | 10.5190 | − | 3.82859i | 0.336876 | − | 0.122613i | ||||
\(976\) | −9.20278 | − | 17.7203i | −0.294574 | − | 0.567214i | ||||
\(977\) | −3.25423 | − | 5.63649i | −0.104112 | − | 0.180327i | 0.809263 | − | 0.587446i | \(-0.199867\pi\) |
−0.913375 | + | 0.407119i | \(0.866533\pi\) | |||||||
\(978\) | 3.42234 | + | 0.187678i | 0.109434 | + | 0.00600127i | ||||
\(979\) | −7.19508 | + | 8.57476i | −0.229956 | + | 0.274051i | ||||
\(980\) | −1.68480 | − | 6.89969i | −0.0538188 | − | 0.220403i | ||||
\(981\) | 8.46834 | + | 4.88920i | 0.270373 | + | 0.156100i | ||||
\(982\) | −24.1614 | − | 15.7740i | −0.771020 | − | 0.503368i | ||||
\(983\) | −1.67656 | − | 9.50824i | −0.0534740 | − | 0.303266i | 0.946327 | − | 0.323210i | \(-0.104762\pi\) |
−0.999801 | + | 0.0199445i | \(0.993651\pi\) | |||||||
\(984\) | −2.04052 | − | 10.9210i | −0.0650495 | − | 0.348150i | ||||
\(985\) | 6.34102 | + | 2.30794i | 0.202042 | + | 0.0735371i | ||||
\(986\) | −5.46110 | − | 1.27475i | −0.173917 | − | 0.0405962i | ||||
\(987\) | − | 11.9395i | − | 0.380037i | ||||||
\(988\) | −2.34612 | − | 35.8830i | −0.0746401 | − | 1.14159i | ||||
\(989\) | − | 24.8505i | − | 0.790199i | ||||||
\(990\) | 1.59741 | − | 6.84343i | 0.0507692 | − | 0.217498i | ||||
\(991\) | 1.32510 | + | 0.482298i | 0.0420933 | + | 0.0153207i | 0.362981 | − | 0.931797i | \(-0.381759\pi\) |
−0.320888 | + | 0.947117i | \(0.603981\pi\) | |||||||
\(992\) | 0.661181 | − | 6.63061i | 0.0209925 | − | 0.210522i | ||||
\(993\) | 3.20987 | + | 18.2041i | 0.101862 | + | 0.577689i | ||||
\(994\) | 23.2505 | − | 35.6134i | 0.737462 | − | 1.12959i | ||||
\(995\) | −6.13580 | − | 3.54251i | −0.194518 | − | 0.112305i | ||||
\(996\) | −5.87557 | + | 1.43472i | −0.186174 | + | 0.0454608i | ||||
\(997\) | −37.5772 | + | 44.7828i | −1.19008 | + | 1.41828i | −0.305314 | + | 0.952252i | \(0.598761\pi\) |
−0.884768 | + | 0.466032i | \(0.845683\pi\) | |||||||
\(998\) | 1.40180 | − | 25.5620i | 0.0443731 | − | 0.809152i | ||||
\(999\) | 2.92648 | + | 5.06882i | 0.0925899 | + | 0.160370i |
(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 | 456.2.bk.a.253.18 | yes | 240 | |
8.5 | even | 2 | inner | 456.2.bk.a.253.1 | ✓ | 240 | |
19.16 | even | 9 | inner | 456.2.bk.a.301.1 | yes | 240 | |
152.149 | even | 18 | inner | 456.2.bk.a.301.18 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
456.2.bk.a.253.1 | ✓ | 240 | 8.5 | even | 2 | inner | |
456.2.bk.a.253.18 | yes | 240 | 1.1 | even | 1 | trivial | |
456.2.bk.a.301.1 | yes | 240 | 19.16 | even | 9 | inner | |
456.2.bk.a.301.18 | yes | 240 | 152.149 | even | 18 | inner |