Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 29.7 | ||
Character | \(\chi\) | \(=\) | 230.29 |
Dual form | 230.2.j.a.119.7 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.909632 | + | 0.415415i | 0.643207 | + | 0.293743i | ||||
\(3\) | −0.880099 | + | 2.99734i | −0.508126 | + | 1.73052i | 0.160612 | + | 0.987018i | \(0.448653\pi\) |
−0.668737 | + | 0.743499i | \(0.733165\pi\) | |||||||
\(4\) | 0.654861 | + | 0.755750i | 0.327430 | + | 0.377875i | ||||
\(5\) | −2.18539 | + | 0.473349i | −0.977337 | + | 0.211688i | ||||
\(6\) | −2.04571 | + | 2.36087i | −0.835157 | + | 0.963822i | ||||
\(7\) | 3.80587 | + | 0.547202i | 1.43849 | + | 0.206823i | 0.817016 | − | 0.576615i | \(-0.195627\pi\) |
0.621470 | + | 0.783438i | \(0.286536\pi\) | |||||||
\(8\) | 0.281733 | + | 0.959493i | 0.0996075 | + | 0.339232i | ||||
\(9\) | −5.68573 | − | 3.65400i | −1.89524 | − | 1.21800i | ||||
\(10\) | −2.18454 | − | 0.477271i | −0.690812 | − | 0.150926i | ||||
\(11\) | −1.34792 | − | 2.95153i | −0.406412 | − | 0.889918i | −0.996580 | − | 0.0826376i | \(-0.973666\pi\) |
0.590168 | − | 0.807281i | \(-0.299062\pi\) | |||||||
\(12\) | −2.84158 | + | 1.29771i | −0.820294 | + | 0.374616i | ||||
\(13\) | −1.88976 | + | 0.271707i | −0.524126 | + | 0.0753580i | −0.399299 | − | 0.916821i | \(-0.630747\pi\) |
−0.124827 | + | 0.992179i | \(0.539838\pi\) | |||||||
\(14\) | 3.23463 | + | 2.07877i | 0.864491 | + | 0.555575i | ||||
\(15\) | 0.504573 | − | 6.96696i | 0.130280 | − | 1.79886i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 4.55253 | + | 3.94479i | 1.10415 | + | 0.956752i | 0.999288 | − | 0.0377344i | \(-0.0120141\pi\) |
0.104863 | + | 0.994487i | \(0.466560\pi\) | |||||||
\(18\) | −3.65400 | − | 5.68573i | −0.861255 | − | 1.34014i | ||||
\(19\) | 2.42138 | + | 2.79442i | 0.555503 | + | 0.641084i | 0.962156 | − | 0.272498i | \(-0.0878499\pi\) |
−0.406654 | + | 0.913582i | \(0.633304\pi\) | |||||||
\(20\) | −1.78886 | − | 1.34163i | −0.400002 | − | 0.299998i | ||||
\(21\) | −4.98970 | + | 10.9259i | −1.08884 | + | 2.38423i | ||||
\(22\) | − | 3.24475i | − | 0.691782i | ||||||
\(23\) | −4.49587 | + | 1.66947i | −0.937454 | + | 0.348109i | ||||
\(24\) | −3.12388 | −0.637660 | ||||||||
\(25\) | 4.55188 | − | 2.06891i | 0.910376 | − | 0.413781i | ||||
\(26\) | −1.83186 | − | 0.537883i | −0.359257 | − | 0.105488i | ||||
\(27\) | 8.87367 | − | 7.68907i | 1.70774 | − | 1.47976i | ||||
\(28\) | 2.07877 | + | 3.23463i | 0.392851 | + | 0.611287i | ||||
\(29\) | 0.494989 | − | 0.571248i | 0.0919172 | − | 0.106078i | −0.707928 | − | 0.706285i | \(-0.750370\pi\) |
0.799845 | + | 0.600207i | \(0.204915\pi\) | |||||||
\(30\) | 3.35316 | − | 6.12777i | 0.612200 | − | 1.11877i | ||||
\(31\) | 9.29383 | − | 2.72892i | 1.66922 | − | 0.490128i | 0.695625 | − | 0.718405i | \(-0.255127\pi\) |
0.973596 | + | 0.228277i | \(0.0733092\pi\) | |||||||
\(32\) | −0.540641 | + | 0.841254i | −0.0955727 | + | 0.148714i | ||||
\(33\) | 10.0330 | − | 1.44253i | 1.74653 | − | 0.251113i | ||||
\(34\) | 2.50240 | + | 5.47950i | 0.429159 | + | 0.939726i | ||||
\(35\) | −8.57635 | + | 0.605656i | −1.44967 | + | 0.102374i | ||||
\(36\) | −0.961854 | − | 6.68984i | −0.160309 | − | 1.11497i | ||||
\(37\) | −0.639776 | + | 0.995511i | −0.105179 | + | 0.163661i | −0.889853 | − | 0.456246i | \(-0.849194\pi\) |
0.784675 | + | 0.619908i | \(0.212830\pi\) | |||||||
\(38\) | 1.04172 | + | 3.54777i | 0.168989 | + | 0.575525i | ||||
\(39\) | 0.848781 | − | 5.90340i | 0.135914 | − | 0.945300i | ||||
\(40\) | −1.06987 | − | 1.96351i | −0.169162 | − | 0.310458i | ||||
\(41\) | −3.65770 | + | 2.35066i | −0.571237 | + | 0.367111i | −0.794145 | − | 0.607728i | \(-0.792081\pi\) |
0.222909 | + | 0.974839i | \(0.428445\pi\) | |||||||
\(42\) | −9.07758 | + | 7.86577i | −1.40070 | + | 1.21371i | ||||
\(43\) | −0.624091 | + | 2.12546i | −0.0951730 | + | 0.324130i | −0.993294 | − | 0.115620i | \(-0.963115\pi\) |
0.898121 | + | 0.439749i | \(0.144933\pi\) | |||||||
\(44\) | 1.34792 | − | 2.95153i | 0.203206 | − | 0.444959i | ||||
\(45\) | 14.1552 | + | 5.29408i | 2.11013 | + | 0.789195i | ||||
\(46\) | −4.78311 | − | 0.349047i | −0.705231 | − | 0.0514642i | ||||
\(47\) | − | 3.45884i | − | 0.504523i | −0.967659 | − | 0.252262i | \(-0.918826\pi\) | ||
0.967659 | − | 0.252262i | \(-0.0811743\pi\) | |||||||
\(48\) | −2.84158 | − | 1.29771i | −0.410147 | − | 0.187308i | ||||
\(49\) | 7.46880 | + | 2.19304i | 1.06697 | + | 0.313291i | ||||
\(50\) | 4.99999 | + | 0.00897565i | 0.707106 | + | 0.00126935i | ||||
\(51\) | −15.8306 | + | 10.1737i | −2.21672 | + | 1.42460i | ||||
\(52\) | −1.44287 | − | 1.25026i | −0.200091 | − | 0.173380i | ||||
\(53\) | 10.6234 | + | 1.52741i | 1.45923 | + | 0.209806i | 0.825787 | − | 0.563983i | \(-0.190731\pi\) |
0.633444 | + | 0.773788i | \(0.281641\pi\) | |||||||
\(54\) | 11.2659 | − | 3.30797i | 1.53310 | − | 0.450158i | ||||
\(55\) | 4.34283 | + | 5.81221i | 0.585587 | + | 0.783718i | ||||
\(56\) | 0.547202 | + | 3.80587i | 0.0731230 | + | 0.508581i | ||||
\(57\) | −10.5069 | + | 4.79834i | −1.39167 | + | 0.635555i | ||||
\(58\) | 0.687563 | − | 0.313999i | 0.0902814 | − | 0.0412301i | ||||
\(59\) | −1.24189 | − | 8.63752i | −0.161680 | − | 1.12451i | −0.895467 | − | 0.445129i | \(-0.853158\pi\) |
0.733787 | − | 0.679380i | \(-0.237751\pi\) | |||||||
\(60\) | 5.59571 | − | 4.18106i | 0.722402 | − | 0.539773i | ||||
\(61\) | 3.29564 | − | 0.967689i | 0.421964 | − | 0.123900i | −0.0638551 | − | 0.997959i | \(-0.520340\pi\) |
0.485819 | + | 0.874059i | \(0.338521\pi\) | |||||||
\(62\) | 9.58760 | + | 1.37849i | 1.21763 | + | 0.175068i | ||||
\(63\) | −19.6397 | − | 17.0179i | −2.47437 | − | 2.14405i | ||||
\(64\) | −0.841254 | + | 0.540641i | −0.105157 | + | 0.0675801i | ||||
\(65\) | 4.00126 | − | 1.48830i | 0.496296 | − | 0.184601i | ||||
\(66\) | 9.72562 | + | 2.85570i | 1.19714 | + | 0.351512i | ||||
\(67\) | −10.2270 | − | 4.67052i | −1.24943 | − | 0.570595i | −0.322763 | − | 0.946480i | \(-0.604612\pi\) |
−0.926666 | + | 0.375885i | \(0.877339\pi\) | |||||||
\(68\) | 6.02386i | 0.730501i | ||||||||
\(69\) | −1.04717 | − | 14.9450i | −0.126064 | − | 1.79916i | ||||
\(70\) | −8.05292 | − | 3.01182i | −0.962508 | − | 0.359981i | ||||
\(71\) | 2.37494 | − | 5.20039i | 0.281854 | − | 0.617173i | −0.714763 | − | 0.699367i | \(-0.753465\pi\) |
0.996616 | + | 0.0821938i | \(0.0261927\pi\) | |||||||
\(72\) | 1.90413 | − | 6.48487i | 0.224404 | − | 0.764249i | ||||
\(73\) | −1.37929 | + | 1.19516i | −0.161434 | + | 0.139883i | −0.731832 | − | 0.681485i | \(-0.761334\pi\) |
0.570398 | + | 0.821368i | \(0.306789\pi\) | |||||||
\(74\) | −0.995511 | + | 0.639776i | −0.115726 | + | 0.0743725i | ||||
\(75\) | 2.19512 | + | 15.4644i | 0.253470 | + | 1.78567i | ||||
\(76\) | −0.526216 | + | 3.65991i | −0.0603611 | + | 0.419821i | ||||
\(77\) | −3.51492 | − | 11.9707i | −0.400562 | − | 1.36419i | ||||
\(78\) | 3.22444 | − | 5.01732i | 0.365096 | − | 0.568100i | ||||
\(79\) | −0.926009 | − | 6.44053i | −0.104184 | − | 0.724616i | −0.973221 | − | 0.229870i | \(-0.926170\pi\) |
0.869037 | − | 0.494747i | \(-0.164739\pi\) | |||||||
\(80\) | −0.157517 | − | 2.23051i | −0.0176110 | − | 0.249379i | ||||
\(81\) | 6.81417 | + | 14.9209i | 0.757130 | + | 1.65788i | ||||
\(82\) | −4.30366 | + | 0.618773i | −0.475260 | + | 0.0683320i | ||||
\(83\) | 0.361436 | − | 0.562406i | 0.0396728 | − | 0.0617321i | −0.820851 | − | 0.571143i | \(-0.806500\pi\) |
0.860523 | + | 0.509411i | \(0.170137\pi\) | |||||||
\(84\) | −11.5248 | + | 3.38399i | −1.25746 | + | 0.369224i | ||||
\(85\) | −11.8163 | − | 6.46598i | −1.28166 | − | 0.701334i | ||||
\(86\) | −1.45064 | + | 1.67413i | −0.156427 | + | 0.180526i | ||||
\(87\) | 1.27659 | + | 1.98641i | 0.136864 | + | 0.212965i | ||||
\(88\) | 2.45222 | − | 2.12486i | 0.261407 | − | 0.226511i | ||||
\(89\) | −2.31890 | − | 0.680890i | −0.245803 | − | 0.0721742i | 0.156510 | − | 0.987676i | \(-0.449976\pi\) |
−0.402313 | + | 0.915502i | \(0.631794\pi\) | |||||||
\(90\) | 10.6767 | + | 10.6959i | 1.12543 | + | 1.12745i | ||||
\(91\) | −7.34088 | −0.769534 | ||||||||
\(92\) | −4.20587 | − | 2.30448i | −0.438493 | − | 0.240259i | ||||
\(93\) | 30.2585i | 3.13766i | ||||||||
\(94\) | 1.43685 | − | 3.14627i | 0.148200 | − | 0.324513i | ||||
\(95\) | −6.61440 | − | 4.96075i | −0.678623 | − | 0.508962i | ||||
\(96\) | −2.04571 | − | 2.36087i | −0.208789 | − | 0.240956i | ||||
\(97\) | −0.0374373 | − | 0.0582536i | −0.00380118 | − | 0.00591475i | 0.839348 | − | 0.543595i | \(-0.182937\pi\) |
−0.843149 | + | 0.537680i | \(0.819301\pi\) | |||||||
\(98\) | 5.88284 | + | 5.09751i | 0.594256 | + | 0.514926i | ||||
\(99\) | −3.12097 | + | 21.7069i | −0.313670 | + | 2.18162i | ||||
\(100\) | 4.54442 | + | 2.08524i | 0.454442 | + | 0.208524i | ||||
\(101\) | −4.86892 | − | 3.12907i | −0.484476 | − | 0.311354i | 0.275504 | − | 0.961300i | \(-0.411155\pi\) |
−0.759980 | + | 0.649946i | \(0.774791\pi\) | |||||||
\(102\) | −18.6263 | + | 2.67806i | −1.84428 | + | 0.265167i | ||||
\(103\) | 8.10752 | − | 3.70258i | 0.798858 | − | 0.364826i | 0.0262064 | − | 0.999657i | \(-0.491657\pi\) |
0.772652 | + | 0.634830i | \(0.218930\pi\) | |||||||
\(104\) | −0.793109 | − | 1.73667i | −0.0777707 | − | 0.170294i | ||||
\(105\) | 5.73268 | − | 26.2393i | 0.559452 | − | 2.56069i | ||||
\(106\) | 9.02884 | + | 5.80248i | 0.876959 | + | 0.563587i | ||||
\(107\) | 1.32004 | + | 4.49564i | 0.127613 | + | 0.434610i | 0.998368 | − | 0.0571070i | \(-0.0181876\pi\) |
−0.870755 | + | 0.491717i | \(0.836369\pi\) | |||||||
\(108\) | 11.6220 | + | 1.67100i | 1.11833 | + | 0.160792i | ||||
\(109\) | −4.54952 | + | 5.25043i | −0.435765 | + | 0.502900i | −0.930575 | − | 0.366102i | \(-0.880692\pi\) |
0.494810 | + | 0.869001i | \(0.335238\pi\) | |||||||
\(110\) | 1.53590 | + | 7.09104i | 0.146442 | + | 0.676105i | ||||
\(111\) | −2.42082 | − | 2.79378i | −0.229774 | − | 0.265174i | ||||
\(112\) | −1.08326 | + | 3.68926i | −0.102359 | + | 0.348602i | ||||
\(113\) | −9.35804 | − | 4.27367i | −0.880330 | − | 0.402033i | −0.0766242 | − | 0.997060i | \(-0.524414\pi\) |
−0.803706 | + | 0.595027i | \(0.797141\pi\) | |||||||
\(114\) | −11.5507 | −1.08182 | ||||||||
\(115\) | 9.03500 | − | 5.77657i | 0.842518 | − | 0.538668i | ||||
\(116\) | 0.755869 | 0.0701807 | ||||||||
\(117\) | 11.7375 | + | 5.36034i | 1.08513 | + | 0.495563i | ||||
\(118\) | 2.45849 | − | 8.37286i | 0.226323 | − | 0.770784i | ||||
\(119\) | 15.1678 | + | 17.5045i | 1.39043 | + | 1.60464i | ||||
\(120\) | 6.82691 | − | 1.47869i | 0.623209 | − | 0.134985i | ||||
\(121\) | 0.308846 | − | 0.356427i | 0.0280769 | − | 0.0324024i | ||||
\(122\) | 3.39982 | + | 0.488820i | 0.307805 | + | 0.0442557i | ||||
\(123\) | −3.82660 | − | 13.0322i | −0.345033 | − | 1.17507i | ||||
\(124\) | 8.14854 | + | 5.23675i | 0.731761 | + | 0.470274i | ||||
\(125\) | −8.96833 | + | 6.67600i | −0.802152 | + | 0.597120i | ||||
\(126\) | −10.7954 | − | 23.6386i | −0.961731 | − | 2.10590i | ||||
\(127\) | 13.7245 | − | 6.26776i | 1.21785 | − | 0.556174i | 0.300320 | − | 0.953839i | \(-0.402907\pi\) |
0.917531 | + | 0.397665i | \(0.130179\pi\) | |||||||
\(128\) | −0.989821 | + | 0.142315i | −0.0874887 | + | 0.0125790i | ||||
\(129\) | −5.82147 | − | 3.74123i | −0.512552 | − | 0.329397i | ||||
\(130\) | 4.25794 | + | 0.308376i | 0.373446 | + | 0.0270463i | ||||
\(131\) | 0.876006 | − | 6.09275i | 0.0765370 | − | 0.532326i | −0.915096 | − | 0.403236i | \(-0.867885\pi\) |
0.991633 | − | 0.129090i | \(-0.0412056\pi\) | |||||||
\(132\) | 7.66043 | + | 6.63780i | 0.666755 | + | 0.577747i | ||||
\(133\) | 7.68635 | + | 11.9602i | 0.666491 | + | 1.03708i | ||||
\(134\) | −7.36262 | − | 8.49691i | −0.636033 | − | 0.734022i | ||||
\(135\) | −15.7528 | + | 21.0040i | −1.35579 | + | 1.80774i | ||||
\(136\) | −2.50240 | + | 5.47950i | −0.214579 | + | 0.469863i | ||||
\(137\) | − | 10.6768i | − | 0.912181i | −0.889933 | − | 0.456090i | \(-0.849249\pi\) | ||
0.889933 | − | 0.456090i | \(-0.150751\pi\) | |||||||
\(138\) | 5.25583 | − | 14.0294i | 0.447406 | − | 1.19426i | ||||
\(139\) | −5.71482 | −0.484725 | −0.242362 | − | 0.970186i | \(-0.577922\pi\) | ||||
−0.242362 | + | 0.970186i | \(0.577922\pi\) | |||||||
\(140\) | −6.07404 | − | 6.08495i | −0.513350 | − | 0.514272i | ||||
\(141\) | 10.3673 | + | 3.04412i | 0.873086 | + | 0.256361i | ||||
\(142\) | 4.32064 | − | 3.74386i | 0.362580 | − | 0.314178i | ||||
\(143\) | 3.34919 | + | 5.21145i | 0.280074 | + | 0.435803i | ||||
\(144\) | 4.42597 | − | 5.10784i | 0.368831 | − | 0.425653i | ||||
\(145\) | −0.811346 | + | 1.48270i | −0.0673786 | + | 0.123132i | ||||
\(146\) | −1.75114 | + | 0.514180i | −0.144925 | + | 0.0425539i | ||||
\(147\) | −13.1466 | + | 20.4565i | −1.08431 | + | 1.68722i | ||||
\(148\) | −1.17132 | + | 0.168411i | −0.0962821 | + | 0.0138433i | ||||
\(149\) | 5.53347 | + | 12.1166i | 0.453320 | + | 0.992632i | 0.988960 | + | 0.148185i | \(0.0473432\pi\) |
−0.535640 | + | 0.844447i | \(0.679930\pi\) | |||||||
\(150\) | −4.42739 | + | 14.9788i | −0.361495 | + | 1.22301i | ||||
\(151\) | 0.452539 | + | 3.14748i | 0.0368271 | + | 0.256138i | 0.999915 | − | 0.0130496i | \(-0.00415392\pi\) |
−0.963088 | + | 0.269188i | \(0.913245\pi\) | |||||||
\(152\) | −1.99905 | + | 3.11058i | −0.162144 | + | 0.252301i | ||||
\(153\) | −11.4702 | − | 39.0639i | −0.927311 | − | 3.15813i | ||||
\(154\) | 1.77553 | − | 12.3491i | 0.143076 | − | 0.995119i | ||||
\(155\) | −19.0189 | + | 10.3630i | −1.52764 | + | 0.832375i | ||||
\(156\) | 5.01732 | − | 3.22444i | 0.401707 | − | 0.258162i | ||||
\(157\) | −5.26961 | + | 4.56614i | −0.420560 | + | 0.364418i | −0.839281 | − | 0.543697i | \(-0.817024\pi\) |
0.418721 | + | 0.908115i | \(0.362479\pi\) | |||||||
\(158\) | 1.83317 | − | 6.24319i | 0.145839 | − | 0.496682i | ||||
\(159\) | −13.9278 | + | 30.4976i | −1.10454 | + | 2.41862i | ||||
\(160\) | 0.783306 | − | 2.09438i | 0.0619258 | − | 0.165575i | ||||
\(161\) | −18.0243 | + | 3.89365i | −1.42051 | + | 0.306863i | ||||
\(162\) | 16.4033i | 1.28876i | ||||||||
\(163\) | 1.69515 | + | 0.774148i | 0.132774 | + | 0.0606360i | 0.480694 | − | 0.876888i | \(-0.340385\pi\) |
−0.347920 | + | 0.937524i | \(0.613112\pi\) | |||||||
\(164\) | −4.17179 | − | 1.22495i | −0.325762 | − | 0.0956525i | ||||
\(165\) | −21.2433 | + | 7.90163i | −1.65379 | + | 0.615141i | ||||
\(166\) | 0.562406 | − | 0.361436i | 0.0436512 | − | 0.0280529i | ||||
\(167\) | −10.4732 | − | 9.07509i | −0.810441 | − | 0.702251i | 0.147548 | − | 0.989055i | \(-0.452862\pi\) |
−0.957989 | + | 0.286803i | \(0.907407\pi\) | |||||||
\(168\) | −11.8891 | − | 1.70939i | −0.917264 | − | 0.131883i | ||||
\(169\) | −8.97603 | + | 2.63560i | −0.690463 | + | 0.202738i | ||||
\(170\) | −8.06245 | − | 10.7903i | −0.618361 | − | 0.827582i | ||||
\(171\) | −3.55650 | − | 24.7360i | −0.271973 | − | 1.89161i | ||||
\(172\) | −2.01501 | + | 0.920223i | −0.153643 | + | 0.0701664i | ||||
\(173\) | −1.04312 | + | 0.476376i | −0.0793067 | + | 0.0362182i | −0.454673 | − | 0.890658i | \(-0.650244\pi\) |
0.375367 | + | 0.926876i | \(0.377517\pi\) | |||||||
\(174\) | 0.336040 | + | 2.33721i | 0.0254752 | + | 0.177184i | ||||
\(175\) | 18.4560 | − | 5.38320i | 1.39514 | − | 0.406932i | ||||
\(176\) | 3.11331 | − | 0.914151i | 0.234675 | − | 0.0689067i | ||||
\(177\) | 26.9826 | + | 3.87951i | 2.02814 | + | 0.291602i | ||||
\(178\) | −1.82649 | − | 1.58267i | −0.136901 | − | 0.118626i | ||||
\(179\) | 17.1805 | − | 11.0413i | 1.28413 | − | 0.825262i | 0.292741 | − | 0.956192i | \(-0.405433\pi\) |
0.991392 | + | 0.130929i | \(0.0417961\pi\) | |||||||
\(180\) | 5.26866 | + | 14.1646i | 0.392703 | + | 1.05577i | ||||
\(181\) | 14.7310 | + | 4.32542i | 1.09495 | + | 0.321506i | 0.778843 | − | 0.627218i | \(-0.215807\pi\) |
0.316105 | + | 0.948724i | \(0.397625\pi\) | |||||||
\(182\) | −6.67750 | − | 3.04951i | −0.494969 | − | 0.226045i | ||||
\(183\) | 10.7298i | 0.793173i | ||||||||
\(184\) | −2.86848 | − | 3.84341i | −0.211467 | − | 0.283340i | ||||
\(185\) | 0.926938 | − | 2.47842i | 0.0681498 | − | 0.182217i | ||||
\(186\) | −12.5698 | + | 27.5241i | −0.921666 | + | 2.01817i | ||||
\(187\) | 5.50672 | − | 18.7542i | 0.402691 | − | 1.37144i | ||||
\(188\) | 2.61401 | − | 2.26506i | 0.190647 | − | 0.165196i | ||||
\(189\) | 37.9795 | − | 24.4080i | 2.76260 | − | 1.77542i | ||||
\(190\) | −3.95590 | − | 7.26018i | −0.286991 | − | 0.526709i | ||||
\(191\) | −0.419509 | + | 2.91775i | −0.0303546 | + | 0.211121i | −0.999354 | − | 0.0359427i | \(-0.988557\pi\) |
0.968999 | + | 0.247064i | \(0.0794657\pi\) | |||||||
\(192\) | −0.880099 | − | 2.99734i | −0.0635157 | − | 0.216315i | ||||
\(193\) | −1.73962 | + | 2.70690i | −0.125221 | + | 0.194847i | −0.898204 | − | 0.439580i | \(-0.855127\pi\) |
0.772983 | + | 0.634427i | \(0.218764\pi\) | |||||||
\(194\) | −0.00985476 | − | 0.0685413i | −0.000707530 | − | 0.00492098i | ||||
\(195\) | 0.939450 | + | 13.3030i | 0.0672754 | + | 0.952649i | ||||
\(196\) | 3.23364 | + | 7.08067i | 0.230974 | + | 0.505762i | ||||
\(197\) | −14.4094 | + | 2.07176i | −1.02663 | + | 0.147607i | −0.634997 | − | 0.772514i | \(-0.718999\pi\) |
−0.391633 | + | 0.920122i | \(0.628090\pi\) | |||||||
\(198\) | −11.8563 | + | 18.4487i | −0.842590 | + | 1.31110i | ||||
\(199\) | 8.08869 | − | 2.37505i | 0.573392 | − | 0.168363i | 0.0178343 | − | 0.999841i | \(-0.494323\pi\) |
0.555558 | + | 0.831478i | \(0.312505\pi\) | |||||||
\(200\) | 3.26752 | + | 3.78462i | 0.231048 | + | 0.267613i | ||||
\(201\) | 22.9999 | − | 26.5434i | 1.62229 | − | 1.87222i | ||||
\(202\) | −3.12907 | − | 4.86892i | −0.220160 | − | 0.342576i | ||||
\(203\) | 2.19645 | − | 1.90324i | 0.154161 | − | 0.133581i | ||||
\(204\) | −18.0556 | − | 5.30160i | −1.26414 | − | 0.371186i | ||||
\(205\) | 6.88082 | − | 6.86848i | 0.480578 | − | 0.479716i | ||||
\(206\) | 8.91297 | 0.620996 | ||||||||
\(207\) | 31.6625 | + | 6.93573i | 2.20070 | + | 0.482067i | ||||
\(208\) | − | 1.90920i | − | 0.132379i | ||||||
\(209\) | 4.98399 | − | 10.9134i | 0.344750 | − | 0.754896i | ||||
\(210\) | 16.1148 | − | 21.4867i | 1.11203 | − | 1.48272i | ||||
\(211\) | −17.3168 | − | 19.9846i | −1.19214 | − | 1.37580i | −0.909041 | − | 0.416708i | \(-0.863184\pi\) |
−0.283096 | − | 0.959092i | \(-0.591362\pi\) | |||||||
\(212\) | 5.80248 | + | 9.02884i | 0.398516 | + | 0.620103i | ||||
\(213\) | 13.4972 | + | 11.6954i | 0.924811 | + | 0.801354i | ||||
\(214\) | −0.666807 | + | 4.63774i | −0.0455820 | + | 0.317030i | ||||
\(215\) | 0.357800 | − | 4.94038i | 0.0244018 | − | 0.336931i | ||||
\(216\) | 9.87761 | + | 6.34796i | 0.672086 | + | 0.431924i | ||||
\(217\) | 36.8644 | − | 5.30030i | 2.50252 | − | 0.359808i | ||||
\(218\) | −6.31950 | + | 2.88602i | −0.428010 | + | 0.195466i | ||||
\(219\) | −2.36840 | − | 5.18607i | −0.160042 | − | 0.350442i | ||||
\(220\) | −1.54862 | + | 7.08828i | −0.104408 | + | 0.477891i | ||||
\(221\) | −9.67504 | − | 6.21777i | −0.650813 | − | 0.418252i | ||||
\(222\) | −1.04148 | − | 3.54696i | −0.0698996 | − | 0.238056i | ||||
\(223\) | −21.2689 | − | 3.05801i | −1.42427 | − | 0.204779i | −0.613293 | − | 0.789856i | \(-0.710155\pi\) |
−0.810978 | + | 0.585076i | \(0.801065\pi\) | |||||||
\(224\) | −2.51795 | + | 2.90587i | −0.168237 | + | 0.194156i | ||||
\(225\) | −33.4405 | − | 4.86931i | −2.22937 | − | 0.324621i | ||||
\(226\) | −6.73702 | − | 7.77494i | −0.448140 | − | 0.517181i | ||||
\(227\) | −7.74379 | + | 26.3729i | −0.513973 | + | 1.75043i | 0.136235 | + | 0.990676i | \(0.456500\pi\) |
−0.650209 | + | 0.759756i | \(0.725319\pi\) | |||||||
\(228\) | −10.5069 | − | 4.79834i | −0.695836 | − | 0.317778i | ||||
\(229\) | −15.3959 | −1.01739 | −0.508694 | − | 0.860947i | \(-0.669872\pi\) | ||||
−0.508694 | + | 0.860947i | \(0.669872\pi\) | |||||||
\(230\) | 10.6182 | − | 1.50128i | 0.700143 | − | 0.0989913i | ||||
\(231\) | 38.9738 | 2.56429 | ||||||||
\(232\) | 0.687563 | + | 0.313999i | 0.0451407 | + | 0.0206151i | ||||
\(233\) | 1.56435 | − | 5.32769i | 0.102484 | − | 0.349028i | −0.892247 | − | 0.451548i | \(-0.850872\pi\) |
0.994731 | + | 0.102519i | \(0.0326903\pi\) | |||||||
\(234\) | 8.45004 | + | 9.75187i | 0.552397 | + | 0.637500i | ||||
\(235\) | 1.63724 | + | 7.55892i | 0.106802 | + | 0.493089i | ||||
\(236\) | 5.71454 | − | 6.59493i | 0.371985 | − | 0.429293i | ||||
\(237\) | 20.1195 | + | 2.89274i | 1.30690 | + | 0.187904i | ||||
\(238\) | 6.52544 | + | 22.2236i | 0.422981 | + | 1.44054i | ||||
\(239\) | 1.48959 | + | 0.957300i | 0.0963535 | + | 0.0619226i | 0.587930 | − | 0.808912i | \(-0.299943\pi\) |
−0.491577 | + | 0.870834i | \(0.663579\pi\) | |||||||
\(240\) | 6.82424 | + | 1.49094i | 0.440503 | + | 0.0962397i | ||||
\(241\) | 8.01633 | + | 17.5533i | 0.516377 | + | 1.13071i | 0.970793 | + | 0.239918i | \(0.0771206\pi\) |
−0.454416 | + | 0.890789i | \(0.650152\pi\) | |||||||
\(242\) | 0.429001 | − | 0.195918i | 0.0275772 | − | 0.0125941i | ||||
\(243\) | −15.8542 | + | 2.27950i | −1.01705 | + | 0.146230i | ||||
\(244\) | 2.88952 | + | 1.85698i | 0.184982 | + | 0.118881i | ||||
\(245\) | −17.3603 | − | 1.25730i | −1.10911 | − | 0.0803258i | ||||
\(246\) | 1.93297 | − | 13.4441i | 0.123242 | − | 0.857166i | ||||
\(247\) | −5.33510 | − | 4.62289i | −0.339464 | − | 0.294148i | ||||
\(248\) | 5.23675 | + | 8.14854i | 0.332534 | + | 0.517433i | ||||
\(249\) | 1.36762 | + | 1.57832i | 0.0866696 | + | 0.100022i | ||||
\(250\) | −10.9312 | + | 2.34713i | −0.691349 | + | 0.148445i | ||||
\(251\) | 11.8872 | − | 26.0293i | 0.750313 | − | 1.64296i | −0.0154887 | − | 0.999880i | \(-0.504930\pi\) |
0.765802 | − | 0.643077i | \(-0.222342\pi\) | |||||||
\(252\) | − | 25.9870i | − | 1.63703i | ||||||
\(253\) | 10.9875 | + | 11.0194i | 0.690781 | + | 0.692782i | ||||
\(254\) | 15.0879 | 0.946702 | ||||||||
\(255\) | 29.7803 | − | 29.7269i | 1.86491 | − | 1.86157i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −11.7088 | + | 10.1457i | −0.730375 | + | 0.632873i | −0.938520 | − | 0.345225i | \(-0.887803\pi\) |
0.208146 | + | 0.978098i | \(0.433257\pi\) | |||||||
\(258\) | −3.74123 | − | 5.82147i | −0.232919 | − | 0.362429i | ||||
\(259\) | −2.97965 | + | 3.43870i | −0.185147 | + | 0.213671i | ||||
\(260\) | 3.74506 | + | 2.04932i | 0.232259 | + | 0.127094i | ||||
\(261\) | −4.90171 | + | 1.43927i | −0.303408 | + | 0.0890887i | ||||
\(262\) | 3.32786 | − | 5.17826i | 0.205596 | − | 0.319914i | ||||
\(263\) | 9.16027 | − | 1.31705i | 0.564846 | − | 0.0812126i | 0.146024 | − | 0.989281i | \(-0.453352\pi\) |
0.418822 | + | 0.908068i | \(0.362443\pi\) | |||||||
\(264\) | 4.21073 | + | 9.22022i | 0.259153 | + | 0.567465i | ||||
\(265\) | −23.9392 | + | 1.69057i | −1.47057 | + | 0.103851i | ||||
\(266\) | 2.02331 | + | 14.0724i | 0.124057 | + | 0.862835i | ||||
\(267\) | 4.08172 | − | 6.35129i | 0.249797 | − | 0.388692i | ||||
\(268\) | −3.16753 | − | 10.7876i | −0.193488 | − | 0.658958i | ||||
\(269\) | −4.15132 | + | 28.8730i | −0.253110 | + | 1.76042i | 0.326188 | + | 0.945305i | \(0.394236\pi\) |
−0.579298 | + | 0.815116i | \(0.696673\pi\) | |||||||
\(270\) | −23.0546 | + | 12.5619i | −1.40306 | + | 0.764495i | ||||
\(271\) | 23.6738 | − | 15.2142i | 1.43808 | − | 0.924198i | 0.438403 | − | 0.898779i | \(-0.355544\pi\) |
0.999677 | − | 0.0254189i | \(-0.00809196\pi\) | |||||||
\(272\) | −4.55253 | + | 3.94479i | −0.276038 | + | 0.239188i | ||||
\(273\) | 6.46071 | − | 22.0031i | 0.391020 | − | 1.33169i | ||||
\(274\) | 4.43530 | − | 9.71196i | 0.267947 | − | 0.586721i | ||||
\(275\) | −12.2420 | − | 10.6463i | −0.738220 | − | 0.641995i | ||||
\(276\) | 10.6089 | − | 10.5783i | 0.638581 | − | 0.636737i | ||||
\(277\) | − | 19.1742i | − | 1.15207i | −0.817426 | − | 0.576033i | \(-0.804600\pi\) | ||
0.817426 | − | 0.576033i | \(-0.195400\pi\) | |||||||
\(278\) | −5.19838 | − | 2.37402i | −0.311778 | − | 0.142384i | ||||
\(279\) | −62.8137 | − | 18.4438i | −3.76056 | − | 1.10420i | ||||
\(280\) | −2.99736 | − | 8.05831i | −0.179126 | − | 0.481576i | ||||
\(281\) | −16.7050 | + | 10.7357i | −0.996539 | + | 0.640437i | −0.933876 | − | 0.357598i | \(-0.883596\pi\) |
−0.0626633 | + | 0.998035i | \(0.519959\pi\) | |||||||
\(282\) | 8.16587 | + | 7.07577i | 0.486271 | + | 0.421356i | ||||
\(283\) | −3.77090 | − | 0.542174i | −0.224157 | − | 0.0322289i | 0.0293212 | − | 0.999570i | \(-0.490665\pi\) |
−0.253478 | + | 0.967341i | \(0.581575\pi\) | |||||||
\(284\) | 5.48545 | − | 1.61067i | 0.325502 | − | 0.0955759i | ||||
\(285\) | 20.6904 | − | 15.4597i | 1.22559 | − | 0.915752i | ||||
\(286\) | 0.881620 | + | 6.13181i | 0.0521313 | + | 0.362581i | ||||
\(287\) | −15.2070 | + | 6.94482i | −0.897642 | + | 0.409940i | ||||
\(288\) | 6.14787 | − | 2.80764i | 0.362267 | − | 0.165442i | ||||
\(289\) | 2.74481 | + | 19.0906i | 0.161460 | + | 1.12298i | ||||
\(290\) | −1.35396 | + | 1.01167i | −0.0795075 | + | 0.0594073i | ||||
\(291\) | 0.207554 | − | 0.0609435i | 0.0121671 | − | 0.00357257i | ||||
\(292\) | −1.80649 | − | 0.259734i | −0.105717 | − | 0.0151998i | ||||
\(293\) | 15.0892 | + | 13.0748i | 0.881518 | + | 0.763840i | 0.972717 | − | 0.231993i | \(-0.0745247\pi\) |
−0.0911996 | + | 0.995833i | \(0.529070\pi\) | |||||||
\(294\) | −20.4565 | + | 13.1466i | −1.19304 | + | 0.766723i | ||||
\(295\) | 6.80257 | + | 18.2885i | 0.396061 | + | 1.06480i | ||||
\(296\) | −1.13543 | − | 0.333393i | −0.0659956 | − | 0.0193781i | ||||
\(297\) | −34.6555 | − | 15.8266i | −2.01091 | − | 0.918353i | ||||
\(298\) | 13.3203i | 0.771627i | ||||||||
\(299\) | 8.04253 | − | 4.37647i | 0.465111 | − | 0.253098i | ||||
\(300\) | −10.2497 | + | 11.7860i | −0.591767 | + | 0.680464i | ||||
\(301\) | −3.53827 | + | 7.74773i | −0.203942 | + | 0.446572i | ||||
\(302\) | −0.895865 | + | 3.05104i | −0.0515513 | + | 0.175567i | ||||
\(303\) | 13.6640 | − | 11.8399i | 0.784977 | − | 0.680187i | ||||
\(304\) | −3.11058 | + | 1.99905i | −0.178404 | + | 0.114653i | ||||
\(305\) | −6.74422 | + | 3.67477i | −0.386173 | + | 0.210417i | ||||
\(306\) | 5.79408 | − | 40.2987i | 0.331225 | − | 2.30372i | ||||
\(307\) | 1.93147 | + | 6.57798i | 0.110235 | + | 0.375425i | 0.996069 | − | 0.0885757i | \(-0.0282315\pi\) |
−0.885835 | + | 0.464001i | \(0.846413\pi\) | |||||||
\(308\) | 6.74508 | − | 10.4956i | 0.384337 | − | 0.598040i | ||||
\(309\) | 3.96248 | + | 27.5597i | 0.225418 | + | 1.56781i | ||||
\(310\) | −21.6052 | + | 1.52574i | −1.22709 | + | 0.0866564i | ||||
\(311\) | 13.7969 | + | 30.2110i | 0.782351 | + | 1.71311i | 0.697351 | + | 0.716730i | \(0.254362\pi\) |
0.0850003 | + | 0.996381i | \(0.472911\pi\) | |||||||
\(312\) | 5.90340 | − | 0.848781i | 0.334214 | − | 0.0480527i | ||||
\(313\) | −14.3478 | + | 22.3257i | −0.810988 | + | 1.26192i | 0.150920 | + | 0.988546i | \(0.451776\pi\) |
−0.961907 | + | 0.273375i | \(0.911860\pi\) | |||||||
\(314\) | −6.69025 | + | 1.96443i | −0.377552 | + | 0.110859i | ||||
\(315\) | 50.9758 | + | 27.8943i | 2.87216 | + | 1.57167i | ||||
\(316\) | 4.26102 | − | 4.91748i | 0.239701 | − | 0.276630i | ||||
\(317\) | −6.35336 | − | 9.88602i | −0.356840 | − | 0.555254i | 0.615703 | − | 0.787979i | \(-0.288872\pi\) |
−0.972543 | + | 0.232725i | \(0.925236\pi\) | |||||||
\(318\) | −25.3383 | + | 21.9558i | −1.42090 | + | 1.23122i | ||||
\(319\) | −2.35326 | − | 0.690978i | −0.131757 | − | 0.0386874i | ||||
\(320\) | 1.58256 | − | 1.57972i | 0.0884676 | − | 0.0883090i | ||||
\(321\) | −14.6367 | −0.816943 | ||||||||
\(322\) | −18.0129 | − | 3.94576i | −1.00382 | − | 0.219889i | ||||
\(323\) | 22.2735i | 1.23933i | ||||||||
\(324\) | −6.81417 | + | 14.9209i | −0.378565 | + | 0.828941i | ||||
\(325\) | −8.03984 | + | 5.14652i | −0.445970 | + | 0.285478i | ||||
\(326\) | 1.22037 | + | 1.40838i | 0.0675899 | + | 0.0780029i | ||||
\(327\) | −11.7333 | − | 18.2574i | −0.648853 | − | 1.00963i | ||||
\(328\) | −3.28593 | − | 2.84728i | −0.181435 | − | 0.157215i | ||||
\(329\) | 1.89268 | − | 13.1639i | 0.104347 | − | 0.725749i | ||||
\(330\) | −22.6060 | − | 1.63721i | −1.24442 | − | 0.0901255i | ||||
\(331\) | −18.1513 | − | 11.6651i | −0.997685 | − | 0.641173i | −0.0635072 | − | 0.997981i | \(-0.520229\pi\) |
−0.934178 | + | 0.356808i | \(0.883865\pi\) | |||||||
\(332\) | 0.661729 | − | 0.0951422i | 0.0363171 | − | 0.00522161i | ||||
\(333\) | 7.27519 | − | 3.32247i | 0.398678 | − | 0.182070i | ||||
\(334\) | −5.75684 | − | 12.6057i | −0.315000 | − | 0.689754i | ||||
\(335\) | 24.5608 | + | 5.36598i | 1.34190 | + | 0.293175i | ||||
\(336\) | −10.1046 | − | 6.49383i | −0.551251 | − | 0.354268i | ||||
\(337\) | −3.07503 | − | 10.4726i | −0.167508 | − | 0.570479i | −0.999868 | − | 0.0162442i | \(-0.994829\pi\) |
0.832360 | − | 0.554235i | \(-0.186989\pi\) | |||||||
\(338\) | −9.25975 | − | 1.33135i | −0.503664 | − | 0.0724159i | ||||
\(339\) | 21.0457 | − | 24.2880i | 1.14304 | − | 1.31914i | ||||
\(340\) | −2.85139 | − | 13.1645i | −0.154638 | − | 0.713945i | ||||
\(341\) | −20.5818 | − | 23.7526i | −1.11457 | − | 1.28628i | ||||
\(342\) | 7.04061 | − | 23.9781i | 0.380713 | − | 1.29659i | ||||
\(343\) | 2.74245 | + | 1.25244i | 0.148079 | + | 0.0676252i | ||||
\(344\) | −2.21519 | −0.119435 | ||||||||
\(345\) | 9.36266 | + | 32.1649i | 0.504069 | + | 1.73170i | ||||
\(346\) | −1.14675 | −0.0616495 | ||||||||
\(347\) | 1.98162 | + | 0.904975i | 0.106379 | + | 0.0485816i | 0.467894 | − | 0.883785i | \(-0.345013\pi\) |
−0.361515 | + | 0.932366i | \(0.617740\pi\) | |||||||
\(348\) | −0.665240 | + | 2.26560i | −0.0356606 | + | 0.121449i | ||||
\(349\) | −9.66971 | − | 11.1594i | −0.517607 | − | 0.597351i | 0.435423 | − | 0.900226i | \(-0.356599\pi\) |
−0.953030 | + | 0.302875i | \(0.902053\pi\) | |||||||
\(350\) | 19.0244 | + | 2.77017i | 1.01690 | + | 0.148072i | ||||
\(351\) | −14.6800 | + | 16.9416i | −0.783558 | + | 0.904274i | ||||
\(352\) | 3.21172 | + | 0.461776i | 0.171185 | + | 0.0246127i | ||||
\(353\) | 2.56821 | + | 8.74651i | 0.136692 | + | 0.465530i | 0.999177 | − | 0.0405519i | \(-0.0129116\pi\) |
−0.862486 | + | 0.506082i | \(0.831093\pi\) | |||||||
\(354\) | 22.9326 | + | 14.7379i | 1.21885 | + | 0.783310i | ||||
\(355\) | −2.72857 | + | 12.4891i | −0.144818 | + | 0.662851i | ||||
\(356\) | −1.00397 | − | 2.19840i | −0.0532105 | − | 0.116515i | ||||
\(357\) | −65.8162 | + | 30.0573i | −3.48336 | + | 1.59080i | ||||
\(358\) | 20.2147 | − | 2.90643i | 1.06838 | − | 0.153610i | ||||
\(359\) | −12.6962 | − | 8.15934i | −0.670079 | − | 0.430634i | 0.160875 | − | 0.986975i | \(-0.448568\pi\) |
−0.830954 | + | 0.556341i | \(0.812205\pi\) | |||||||
\(360\) | −1.09166 | + | 15.0733i | −0.0575357 | + | 0.794432i | ||||
\(361\) | 0.758271 | − | 5.27389i | 0.0399090 | − | 0.277573i | ||||
\(362\) | 11.6030 | + | 10.0540i | 0.609838 | + | 0.528428i | ||||
\(363\) | 0.796519 | + | 1.23941i | 0.0418064 | + | 0.0650520i | ||||
\(364\) | −4.80726 | − | 5.54787i | −0.251969 | − | 0.290787i | ||||
\(365\) | 2.44857 | − | 3.26479i | 0.128164 | − | 0.170887i | ||||
\(366\) | −4.45734 | + | 9.76020i | −0.232989 | + | 0.510174i | ||||
\(367\) | 31.1467i | 1.62585i | 0.582372 | + | 0.812923i | \(0.302125\pi\) | ||||
−0.582372 | + | 0.812923i | \(0.697875\pi\) | |||||||
\(368\) | −1.01265 | − | 4.68770i | −0.0527880 | − | 0.244363i | ||||
\(369\) | 29.3860 | 1.52977 | ||||||||
\(370\) | 1.87275 | − | 1.86939i | 0.0973594 | − | 0.0971848i | ||||
\(371\) | 39.5954 | + | 11.6263i | 2.05569 | + | 0.603605i | ||||
\(372\) | −22.8679 | + | 19.8151i | −1.18564 | + | 1.02737i | ||||
\(373\) | 4.73181 | + | 7.36284i | 0.245004 | + | 0.381234i | 0.941875 | − | 0.335963i | \(-0.109062\pi\) |
−0.696871 | + | 0.717196i | \(0.745425\pi\) | |||||||
\(374\) | 12.7998 | − | 14.7718i | 0.661864 | − | 0.763832i | ||||
\(375\) | −12.1172 | − | 32.7567i | −0.625732 | − | 1.69155i | ||||
\(376\) | 3.31873 | − | 0.974467i | 0.171150 | − | 0.0502543i | ||||
\(377\) | −0.780201 | + | 1.21402i | −0.0401824 | + | 0.0625250i | ||||
\(378\) | 44.6868 | − | 6.42500i | 2.29844 | − | 0.330466i | ||||
\(379\) | −6.50874 | − | 14.2521i | −0.334331 | − | 0.732084i | 0.665567 | − | 0.746338i | \(-0.268190\pi\) |
−0.999898 | + | 0.0142544i | \(0.995463\pi\) | |||||||
\(380\) | −0.582428 | − | 8.24743i | −0.0298779 | − | 0.423084i | ||||
\(381\) | 6.70772 | + | 46.6532i | 0.343647 | + | 2.39012i | ||||
\(382\) | −1.59368 | + | 2.47981i | −0.0815396 | + | 0.126878i | ||||
\(383\) | −2.30753 | − | 7.85873i | −0.117909 | − | 0.401563i | 0.879296 | − | 0.476276i | \(-0.158014\pi\) |
−0.997205 | + | 0.0747139i | \(0.976196\pi\) | |||||||
\(384\) | 0.444575 | − | 3.09209i | 0.0226871 | − | 0.157792i | ||||
\(385\) | 13.3478 | + | 24.4969i | 0.680267 | + | 1.24848i | ||||
\(386\) | −2.70690 | + | 1.73962i | −0.137778 | + | 0.0885443i | ||||
\(387\) | 11.3148 | − | 9.80436i | 0.575165 | − | 0.498384i | ||||
\(388\) | 0.0195089 | − | 0.0664412i | 0.000990414 | − | 0.00337304i | ||||
\(389\) | 7.83030 | − | 17.1460i | 0.397012 | − | 0.869335i | −0.600553 | − | 0.799585i | \(-0.705053\pi\) |
0.997565 | − | 0.0697495i | \(-0.0222200\pi\) | |||||||
\(390\) | −4.67172 | + | 12.4911i | −0.236562 | + | 0.632512i | ||||
\(391\) | −27.0533 | − | 10.1349i | −1.36814 | − | 0.512546i | ||||
\(392\) | 7.78411i | 0.393157i | ||||||||
\(393\) | 17.4911 | + | 7.98792i | 0.882309 | + | 0.402937i | ||||
\(394\) | −13.9679 | − | 4.10135i | −0.703694 | − | 0.206623i | ||||
\(395\) | 5.07231 | + | 13.6368i | 0.255216 | + | 0.686140i | ||||
\(396\) | −18.4487 | + | 11.8563i | −0.927084 | + | 0.595801i | ||||
\(397\) | 18.8841 | + | 16.3632i | 0.947768 | + | 0.821246i | 0.984013 | − | 0.178097i | \(-0.0569942\pi\) |
−0.0362449 | + | 0.999343i | \(0.511540\pi\) | |||||||
\(398\) | 8.34437 | + | 1.19974i | 0.418265 | + | 0.0601375i | ||||
\(399\) | −42.6136 | + | 12.5125i | −2.13335 | + | 0.626407i | ||||
\(400\) | 1.40005 | + | 4.79999i | 0.0700024 | + | 0.239999i | ||||
\(401\) | 0.739731 | + | 5.14495i | 0.0369404 | + | 0.256926i | 0.999920 | − | 0.0126480i | \(-0.00402610\pi\) |
−0.962980 | + | 0.269574i | \(0.913117\pi\) | |||||||
\(402\) | 31.9480 | − | 14.5902i | 1.59342 | − | 0.727691i | ||||
\(403\) | −16.8217 | + | 7.68221i | −0.837948 | + | 0.382678i | ||||
\(404\) | −0.823675 | − | 5.72879i | −0.0409794 | − | 0.285018i | ||||
\(405\) | −21.9544 | − | 29.3826i | −1.09093 | − | 1.46004i | ||||
\(406\) | 2.78860 | − | 0.818807i | 0.138396 | − | 0.0406367i | ||||
\(407\) | 3.80064 | + | 0.546450i | 0.188391 | + | 0.0270865i | ||||
\(408\) | −14.2216 | − | 12.3231i | −0.704073 | − | 0.610082i | ||||
\(409\) | −32.6065 | + | 20.9549i | −1.61229 | + | 1.03615i | −0.651583 | + | 0.758578i | \(0.725895\pi\) |
−0.960704 | + | 0.277576i | \(0.910469\pi\) | |||||||
\(410\) | 9.11229 | − | 3.38939i | 0.450024 | − | 0.167390i | ||||
\(411\) | 32.0020 | + | 9.39665i | 1.57854 | + | 0.463502i | ||||
\(412\) | 8.10752 | + | 3.70258i | 0.399429 | + | 0.182413i | ||||
\(413\) | − | 33.5529i | − | 1.65103i | ||||||
\(414\) | 25.9201 | + | 19.4621i | 1.27390 | + | 0.956508i | ||||
\(415\) | −0.523666 | + | 1.40016i | −0.0257058 | + | 0.0687313i | ||||
\(416\) | 0.793109 | − | 1.73667i | 0.0388854 | − | 0.0851471i | ||||
\(417\) | 5.02961 | − | 17.1293i | 0.246301 | − | 0.838824i | ||||
\(418\) | 9.06719 | − | 7.85676i | 0.443491 | − | 0.384287i | ||||
\(419\) | 22.4408 | − | 14.4218i | 1.09630 | − | 0.704552i | 0.138038 | − | 0.990427i | \(-0.455920\pi\) |
0.958267 | + | 0.285875i | \(0.0922841\pi\) | |||||||
\(420\) | 23.5844 | − | 12.8506i | 1.15080 | − | 0.627046i | ||||
\(421\) | 3.81048 | − | 26.5025i | 0.185712 | − | 1.29165i | −0.657247 | − | 0.753675i | \(-0.728279\pi\) |
0.842959 | − | 0.537978i | \(-0.180812\pi\) | |||||||
\(422\) | −7.44998 | − | 25.3723i | −0.362660 | − | 1.23511i | ||||
\(423\) | −12.6386 | + | 19.6660i | −0.614509 | + | 0.956194i | ||||
\(424\) | 1.52741 | + | 10.6234i | 0.0741775 | + | 0.515916i | ||||
\(425\) | 28.8840 | + | 8.53745i | 1.40108 | + | 0.414127i | ||||
\(426\) | 7.41903 | + | 16.2454i | 0.359453 | + | 0.787093i | ||||
\(427\) | 13.0723 | − | 1.87952i | 0.632614 | − | 0.0909562i | ||||
\(428\) | −2.53314 | + | 3.94164i | −0.122444 | + | 0.190526i | ||||
\(429\) | −18.5681 | + | 5.45209i | −0.896477 | + | 0.263229i | ||||
\(430\) | 2.37777 | − | 4.34529i | 0.114666 | − | 0.209548i | ||||
\(431\) | −22.7684 | + | 26.2762i | −1.09672 | + | 1.26568i | −0.135233 | + | 0.990814i | \(0.543178\pi\) |
−0.961483 | + | 0.274864i | \(0.911367\pi\) | |||||||
\(432\) | 6.34796 | + | 9.87761i | 0.305416 | + | 0.475237i | ||||
\(433\) | −8.41404 | + | 7.29081i | −0.404353 | + | 0.350374i | −0.833170 | − | 0.553018i | \(-0.813476\pi\) |
0.428816 | + | 0.903392i | \(0.358931\pi\) | |||||||
\(434\) | 35.7349 | + | 10.4927i | 1.71533 | + | 0.503666i | ||||
\(435\) | −3.73011 | − | 3.73681i | −0.178845 | − | 0.179166i | ||||
\(436\) | −6.94731 | −0.332716 | ||||||||
\(437\) | −15.5514 | − | 8.52093i | −0.743926 | − | 0.407612i | ||||
\(438\) | − | 5.70129i | − | 0.272418i | ||||||
\(439\) | −3.00750 | + | 6.58552i | −0.143540 | + | 0.314310i | −0.967724 | − | 0.252014i | \(-0.918907\pi\) |
0.824183 | + | 0.566323i | \(0.191635\pi\) | |||||||
\(440\) | −4.35325 | + | 5.80440i | −0.207533 | + | 0.276714i | ||||
\(441\) | −34.4522 | − | 39.7600i | −1.64058 | − | 1.89333i | ||||
\(442\) | −6.21777 | − | 9.67504i | −0.295749 | − | 0.460195i | ||||
\(443\) | −15.4133 | − | 13.3557i | −0.732306 | − | 0.634547i | 0.206717 | − | 0.978401i | \(-0.433722\pi\) |
−0.939023 | + | 0.343854i | \(0.888267\pi\) | |||||||
\(444\) | 0.526095 | − | 3.65907i | 0.0249674 | − | 0.173652i | ||||
\(445\) | 5.39000 | + | 0.390364i | 0.255511 | + | 0.0185050i | ||||
\(446\) | −18.0765 | − | 11.6171i | −0.855949 | − | 0.550085i | ||||
\(447\) | −41.1877 | + | 5.92189i | −1.94811 | + | 0.280096i | ||||
\(448\) | −3.49754 | + | 1.59728i | −0.165243 | + | 0.0754642i | ||||
\(449\) | −7.05849 | − | 15.4559i | −0.333111 | − | 0.729411i | 0.666764 | − | 0.745269i | \(-0.267679\pi\) |
−0.999874 | + | 0.0158586i | \(0.994952\pi\) | |||||||
\(450\) | −28.3958 | − | 18.3210i | −1.33859 | − | 0.863659i | ||||
\(451\) | 11.8683 | + | 7.62730i | 0.558857 | + | 0.359155i | ||||
\(452\) | −2.89839 | − | 9.87099i | −0.136329 | − | 0.464292i | ||||
\(453\) | −9.83235 | − | 1.41368i | −0.461964 | − | 0.0664204i | ||||
\(454\) | −17.9997 | + | 20.7728i | −0.844768 | + | 0.974914i | ||||
\(455\) | 16.0427 | − | 3.47480i | 0.752094 | − | 0.162901i | ||||
\(456\) | −7.56411 | − | 8.72944i | −0.354222 | − | 0.408794i | ||||
\(457\) | −2.99295 | + | 10.1930i | −0.140004 | + | 0.476810i | −0.999405 | − | 0.0344921i | \(-0.989019\pi\) |
0.859401 | + | 0.511302i | \(0.170837\pi\) | |||||||
\(458\) | −14.0046 | − | 6.39568i | −0.654392 | − | 0.298851i | ||||
\(459\) | 70.7294 | 3.30137 | ||||||||
\(460\) | 10.2823 | + | 3.04535i | 0.479415 | + | 0.141990i | ||||
\(461\) | 23.8612 | 1.11133 | 0.555663 | − | 0.831407i | \(-0.312464\pi\) | ||||
0.555663 | + | 0.831407i | \(0.312464\pi\) | |||||||
\(462\) | 35.4518 | + | 16.1903i | 1.64937 | + | 0.753241i | ||||
\(463\) | 2.87654 | − | 9.79658i | 0.133684 | − | 0.455286i | −0.865255 | − | 0.501331i | \(-0.832844\pi\) |
0.998939 | + | 0.0460456i | \(0.0146619\pi\) | |||||||
\(464\) | 0.494989 | + | 0.571248i | 0.0229793 | + | 0.0265195i | ||||
\(465\) | −14.3228 | − | 66.1267i | −0.664206 | − | 3.06655i | ||||
\(466\) | 3.63618 | − | 4.19638i | 0.168443 | − | 0.194393i | ||||
\(467\) | −6.77403 | − | 0.973958i | −0.313465 | − | 0.0450694i | −0.0162129 | − | 0.999869i | \(-0.505161\pi\) |
−0.297252 | + | 0.954799i | \(0.596070\pi\) | |||||||
\(468\) | 3.63536 | + | 12.3809i | 0.168044 | + | 0.572307i | ||||
\(469\) | −36.3670 | − | 23.3717i | −1.67927 | − | 1.07920i | ||||
\(470\) | −1.65080 | + | 7.55597i | −0.0761459 | + | 0.348531i | ||||
\(471\) | −9.04851 | − | 19.8135i | −0.416933 | − | 0.912957i | ||||
\(472\) | 7.93776 | − | 3.62505i | 0.365365 | − | 0.166857i | ||||
\(473\) | 7.11457 | − | 1.02292i | 0.327128 | − | 0.0470340i | ||||
\(474\) | 17.0996 | + | 10.9893i | 0.785411 | + | 0.504753i | ||||
\(475\) | 16.8032 | + | 7.71026i | 0.770985 | + | 0.353771i | ||||
\(476\) | −3.29627 | + | 22.9261i | −0.151084 | + | 1.05081i | ||||
\(477\) | −54.8204 | − | 47.5022i | −2.51005 | − | 2.17497i | ||||
\(478\) | 0.957300 | + | 1.48959i | 0.0437859 | + | 0.0681322i | ||||
\(479\) | 19.3392 | + | 22.3186i | 0.883629 | + | 1.01976i | 0.999648 | + | 0.0265151i | \(0.00844102\pi\) |
−0.116020 | + | 0.993247i | \(0.537014\pi\) | |||||||
\(480\) | 5.58819 | + | 4.19110i | 0.255065 | + | 0.191297i | ||||
\(481\) | 0.938539 | − | 2.05511i | 0.0427937 | − | 0.0937051i | ||||
\(482\) | 19.2971i | 0.878961i | ||||||||
\(483\) | 4.19253 | − | 57.4517i | 0.190767 | − | 2.61414i | ||||
\(484\) | 0.471620 | 0.0214373 | ||||||||
\(485\) | 0.109389 | + | 0.109586i | 0.00496712 | + | 0.00497605i | ||||
\(486\) | −15.3685 | − | 4.51259i | −0.697127 | − | 0.204695i | ||||
\(487\) | 3.73659 | − | 3.23778i | 0.169321 | − | 0.146718i | −0.566078 | − | 0.824352i | \(-0.691540\pi\) |
0.735399 | + | 0.677634i | \(0.236995\pi\) | |||||||
\(488\) | 1.85698 | + | 2.88952i | 0.0840616 | + | 0.130802i | ||||
\(489\) | −3.81229 | + | 4.39961i | −0.172398 | + | 0.198957i | ||||
\(490\) | −15.2692 | − | 8.35542i | −0.689792 | − | 0.377459i | ||||
\(491\) | −30.5115 | + | 8.95899i | −1.37696 | + | 0.404313i | −0.884712 | − | 0.466139i | \(-0.845645\pi\) |
−0.492253 | + | 0.870452i | \(0.663827\pi\) | |||||||
\(492\) | 7.34318 | − | 11.4262i | 0.331056 | − | 0.515134i | ||||
\(493\) | 4.50691 | − | 0.647995i | 0.202981 | − | 0.0291842i | ||||
\(494\) | −2.93256 | − | 6.42141i | −0.131942 | − | 0.288913i | ||||
\(495\) | −3.45436 | − | 48.9153i | −0.155262 | − | 2.19858i | ||||
\(496\) | 1.37849 | + | 9.58760i | 0.0618960 | + | 0.430496i | ||||
\(497\) | 11.8844 | − | 18.4925i | 0.533088 | − | 0.829501i | ||||
\(498\) | 0.588376 | + | 2.00382i | 0.0263657 | + | 0.0897935i | ||||
\(499\) | −3.83858 | + | 26.6979i | −0.171838 | + | 1.19516i | 0.703159 | + | 0.711033i | \(0.251772\pi\) |
−0.874997 | + | 0.484128i | \(0.839137\pi\) | |||||||
\(500\) | −10.9184 | − | 2.40596i | −0.488285 | − | 0.107598i | ||||
\(501\) | 36.4186 | − | 23.4048i | 1.62706 | − | 1.04565i | ||||
\(502\) | 21.6259 | − | 18.7390i | 0.965213 | − | 0.836362i | ||||
\(503\) | −8.77970 | + | 29.9009i | −0.391467 | + | 1.33322i | 0.494383 | + | 0.869244i | \(0.335394\pi\) |
−0.885850 | + | 0.463971i | \(0.846424\pi\) | |||||||
\(504\) | 10.7954 | − | 23.6386i | 0.480866 | − | 1.05295i | ||||
\(505\) | 12.1216 | + | 4.53354i | 0.539406 | + | 0.201740i | ||||
\(506\) | 5.41701 | + | 14.5880i | 0.240816 | + | 0.648514i | ||||
\(507\) | − | 29.2238i | − | 1.29788i | ||||||
\(508\) | 13.7245 | + | 6.26776i | 0.608925 | + | 0.278087i | ||||
\(509\) | 24.3714 | + | 7.15608i | 1.08024 | + | 0.317188i | 0.772976 | − | 0.634436i | \(-0.218767\pi\) |
0.307267 | + | 0.951623i | \(0.400586\pi\) | |||||||
\(510\) | 39.4381 | − | 14.6693i | 1.74635 | − | 0.649570i | ||||
\(511\) | −5.90341 | + | 3.79389i | −0.261151 | + | 0.167832i | ||||
\(512\) | −0.755750 | − | 0.654861i | −0.0333997 | − | 0.0289410i | ||||
\(513\) | 42.9730 | + | 6.17859i | 1.89731 | + | 0.272791i | ||||
\(514\) | −14.8654 | + | 4.36487i | −0.655684 | + | 0.192526i | ||||
\(515\) | −15.9655 | + | 11.9293i | −0.703524 | + | 0.525667i | ||||
\(516\) | −0.984818 | − | 6.84956i | −0.0433542 | − | 0.301535i | ||||
\(517\) | −10.2088 | + | 4.66222i | −0.448984 | + | 0.205044i | ||||
\(518\) | −4.13888 | + | 1.89016i | −0.181852 | + | 0.0830490i | ||||
\(519\) | −0.509814 | − | 3.54584i | −0.0223784 | − | 0.155645i | ||||
\(520\) | 2.55530 | + | 3.41988i | 0.112057 | + | 0.149972i | ||||
\(521\) | 11.6399 | − | 3.41778i | 0.509953 | − | 0.149736i | −0.0166260 | − | 0.999862i | \(-0.505292\pi\) |
0.526579 | + | 0.850126i | \(0.323474\pi\) | |||||||
\(522\) | −5.05665 | − | 0.727036i | −0.221323 | − | 0.0318215i | ||||
\(523\) | −24.9015 | − | 21.5773i | −1.08887 | − | 0.943509i | −0.0902420 | − | 0.995920i | \(-0.528764\pi\) |
−0.998626 | + | 0.0524108i | \(0.983309\pi\) | |||||||
\(524\) | 5.17826 | − | 3.32786i | 0.226213 | − | 0.145378i | ||||
\(525\) | −0.107810 | + | 60.0567i | −0.00470520 | + | 2.62109i | ||||
\(526\) | 8.87959 | + | 2.60728i | 0.387169 | + | 0.113683i | ||||
\(527\) | 53.0755 | + | 24.2388i | 2.31200 | + | 1.05586i | ||||
\(528\) | 10.1362i | 0.441122i | ||||||||
\(529\) | 17.4257 | − | 15.0115i | 0.757640 | − | 0.652672i | ||||
\(530\) | −22.4782 | − | 8.40691i | −0.976389 | − | 0.365173i | ||||
\(531\) | −24.5004 | + | 53.6484i | −1.06323 | + | 2.32814i | ||||
\(532\) | −4.00543 | + | 13.6412i | −0.173657 | + | 0.591422i | ||||
\(533\) | 6.27350 | − | 5.43602i | 0.271735 | − | 0.235460i | ||||
\(534\) | 6.35129 | − | 4.08172i | 0.274847 | − | 0.176633i | ||||
\(535\) | −5.01281 | − | 9.19990i | −0.216723 | − | 0.397746i | ||||
\(536\) | 1.60005 | − | 11.1286i | 0.0691116 | − | 0.480682i | ||||
\(537\) | 17.9739 | + | 61.2133i | 0.775629 | + | 2.64155i | ||||
\(538\) | −15.7705 | + | 24.5393i | −0.679913 | + | 1.05797i | ||||
\(539\) | −3.59451 | − | 25.0004i | −0.154827 | − | 1.07684i | ||||
\(540\) | −26.1897 | + | 1.84950i | −1.12702 | + | 0.0795896i | ||||
\(541\) | 2.37157 | + | 5.19301i | 0.101962 | + | 0.223265i | 0.953737 | − | 0.300642i | \(-0.0972011\pi\) |
−0.851775 | + | 0.523907i | \(0.824474\pi\) | |||||||
\(542\) | 27.8546 | − | 4.00489i | 1.19646 | − | 0.172025i | ||||
\(543\) | −25.9295 | + | 40.3471i | −1.11274 | + | 1.73146i | ||||
\(544\) | −5.77985 | + | 1.69712i | −0.247809 | + | 0.0727633i | ||||
\(545\) | 7.45720 | − | 13.6278i | 0.319432 | − | 0.583749i | ||||
\(546\) | 15.0173 | − | 17.3309i | 0.642681 | − | 0.741694i | ||||
\(547\) | 19.4025 | + | 30.1909i | 0.829593 | + | 1.29087i | 0.954352 | + | 0.298685i | \(0.0965479\pi\) |
−0.124759 | + | 0.992187i | \(0.539816\pi\) | |||||||
\(548\) | 8.06899 | − | 6.99182i | 0.344690 | − | 0.298676i | ||||
\(549\) | −22.2741 | − | 6.54026i | −0.950634 | − | 0.279131i | ||||
\(550\) | −6.71308 | − | 14.7697i | −0.286247 | − | 0.629782i | ||||
\(551\) | 2.79486 | 0.119065 | ||||||||
\(552\) | 14.0446 | − | 5.21523i | 0.597777 | − | 0.221975i | ||||
\(553\) | − | 25.0186i | − | 1.06390i | ||||||
\(554\) | 7.96526 | − | 17.4415i | 0.338411 | − | 0.741017i | ||||
\(555\) | 6.61288 | + | 4.95961i | 0.280701 | + | 0.210524i | ||||
\(556\) | −3.74241 | − | 4.31897i | −0.158714 | − | 0.183165i | ||||
\(557\) | 3.87063 | + | 6.02282i | 0.164004 | + | 0.255195i | 0.913523 | − | 0.406788i | \(-0.133351\pi\) |
−0.749518 | + | 0.661983i | \(0.769715\pi\) | |||||||
\(558\) | −49.4755 | − | 42.8708i | −2.09446 | − | 1.81486i | ||||
\(559\) | 0.601883 | − | 4.18619i | 0.0254569 | − | 0.177057i | ||||
\(560\) | 0.621050 | − | 8.57525i | 0.0262442 | − | 0.362370i | ||||
\(561\) | 51.3662 | + | 33.0110i | 2.16868 | + | 1.39373i | ||||
\(562\) | −19.6552 | + | 2.82599i | −0.829104 | + | 0.119207i | ||||
\(563\) | 20.1320 | − | 9.19398i | 0.848463 | − | 0.387480i | 0.0567611 | − | 0.998388i | \(-0.481923\pi\) |
0.791702 | + | 0.610908i | \(0.209195\pi\) | |||||||
\(564\) | 4.48856 | + | 9.82857i | 0.189002 | + | 0.413858i | ||||
\(565\) | 22.4739 | + | 4.91003i | 0.945485 | + | 0.206567i | ||||
\(566\) | −3.20491 | − | 2.05967i | −0.134712 | − | 0.0865743i | ||||
\(567\) | 17.7691 | + | 60.5160i | 0.746232 | + | 2.54143i | ||||
\(568\) | 5.65884 | + | 0.813618i | 0.237440 | + | 0.0341387i | ||||
\(569\) | −2.95812 | + | 3.41386i | −0.124011 | + | 0.143116i | −0.814360 | − | 0.580360i | \(-0.802912\pi\) |
0.690349 | + | 0.723477i | \(0.257457\pi\) | |||||||
\(570\) | 25.2428 | − | 5.46752i | 1.05731 | − | 0.229009i | ||||
\(571\) | 13.2169 | + | 15.2532i | 0.553112 | + | 0.638325i | 0.961605 | − | 0.274436i | \(-0.0884912\pi\) |
−0.408494 | + | 0.912761i | \(0.633946\pi\) | |||||||
\(572\) | −1.74529 | + | 5.94392i | −0.0729744 | + | 0.248528i | ||||
\(573\) | −8.37629 | − | 3.82532i | −0.349924 | − | 0.159805i | ||||
\(574\) | −16.7178 | −0.697787 | ||||||||
\(575\) | −17.0107 | + | 16.9008i | −0.709395 | + | 0.704811i | ||||
\(576\) | 6.75864 | 0.281610 | ||||||||
\(577\) | −36.5015 | − | 16.6697i | −1.51958 | − | 0.693968i | −0.531377 | − | 0.847135i | \(-0.678325\pi\) |
−0.988200 | + | 0.153168i | \(0.951052\pi\) | |||||||
\(578\) | −5.43375 | + | 18.5057i | −0.226014 | + | 0.769734i | ||||
\(579\) | −6.58247 | − | 7.59658i | −0.273558 | − | 0.315703i | ||||
\(580\) | −1.65187 | + | 0.357790i | −0.0685902 | + | 0.0148564i | ||||
\(581\) | 1.68333 | − | 1.94267i | 0.0698363 | − | 0.0805954i | ||||
\(582\) | 0.214115 | + | 0.0307851i | 0.00887535 | + | 0.00127608i | ||||
\(583\) | −9.81122 | − | 33.4139i | −0.406339 | − | 1.38386i | ||||
\(584\) | −1.53534 | − | 0.986705i | −0.0635329 | − | 0.0408301i | ||||
\(585\) | −28.1884 | − | 6.15851i | −1.16545 | − | 0.254623i | ||||
\(586\) | 8.29410 | + | 18.1615i | 0.342626 | + | 0.750246i | ||||
\(587\) | 16.1922 | − | 7.39472i | 0.668323 | − | 0.305213i | −0.0522074 | − | 0.998636i | \(-0.516626\pi\) |
0.720530 | + | 0.693423i | \(0.243898\pi\) | |||||||
\(588\) | −24.0691 | + | 3.46062i | −0.992594 | + | 0.142713i | ||||
\(589\) | 30.1296 | + | 19.3631i | 1.24147 | + | 0.797845i | ||||
\(590\) | −1.40949 | + | 19.4617i | −0.0580277 | + | 0.801226i | ||||
\(591\) | 6.47195 | − | 45.0134i | 0.266220 | − | 1.85160i | ||||
\(592\) | −0.894329 | − | 0.774940i | −0.0367567 | − | 0.0318499i | ||||
\(593\) | −24.3745 | − | 37.9275i | −1.00094 | − | 1.55750i | −0.818683 | − | 0.574245i | \(-0.805296\pi\) |
−0.182259 | − | 0.983251i | \(-0.558341\pi\) | |||||||
\(594\) | −24.9491 | − | 28.7928i | −1.02367 | − | 1.18138i | ||||
\(595\) | −41.4333 | − | 31.0746i | −1.69860 | − | 1.27394i | ||||
\(596\) | −5.53347 | + | 12.1166i | −0.226660 | + | 0.496316i | ||||
\(597\) | 26.3349i | 1.07781i | ||||||||
\(598\) | 9.13379 | − | 0.639989i | 0.373509 | − | 0.0261711i | ||||
\(599\) | 2.85961 | 0.116841 | 0.0584203 | − | 0.998292i | \(-0.481394\pi\) | ||||
0.0584203 | + | 0.998292i | \(0.481394\pi\) | |||||||
\(600\) | −14.2195 | + | 6.46302i | −0.580510 | + | 0.263852i | ||||
\(601\) | −43.2879 | − | 12.7105i | −1.76575 | − | 0.518471i | −0.772557 | − | 0.634945i | \(-0.781023\pi\) |
−0.993194 | + | 0.116473i | \(0.962841\pi\) | |||||||
\(602\) | −6.43705 | + | 5.57773i | −0.262354 | + | 0.227331i | ||||
\(603\) | 41.0820 | + | 63.9248i | 1.67299 | + | 2.60322i | ||||
\(604\) | −2.08235 | + | 2.40317i | −0.0847298 | + | 0.0977834i | ||||
\(605\) | −0.506235 | + | 0.925125i | −0.0205814 | + | 0.0376117i | ||||
\(606\) | 17.3477 | − | 5.09375i | 0.704703 | − | 0.206919i | ||||
\(607\) | −9.62947 | + | 14.9837i | −0.390848 | + | 0.608172i | −0.979796 | − | 0.199999i | \(-0.935906\pi\) |
0.588948 | + | 0.808171i | \(0.299542\pi\) | |||||||
\(608\) | −3.65991 | + | 0.526216i | −0.148429 | + | 0.0213409i | ||||
\(609\) | 3.77156 | + | 8.25857i | 0.152831 | + | 0.334654i | ||||
\(610\) | −7.66132 | + | 0.541037i | −0.310198 | + | 0.0219059i | ||||
\(611\) | 0.939790 | + | 6.53639i | 0.0380198 | + | 0.264434i | ||||
\(612\) | 22.0112 | − | 34.2500i | 0.889749 | − | 1.38448i | ||||
\(613\) | −1.39243 | − | 4.74217i | −0.0562395 | − | 0.191534i | 0.926582 | − | 0.376093i | \(-0.122733\pi\) |
−0.982822 | + | 0.184559i | \(0.940914\pi\) | |||||||
\(614\) | −0.975666 | + | 6.78591i | −0.0393747 | + | 0.273857i | ||||
\(615\) | 14.5314 | + | 26.6691i | 0.585962 | + | 1.07540i | ||||
\(616\) | 10.4956 | − | 6.74508i | 0.422878 | − | 0.271767i | ||||
\(617\) | −0.788753 | + | 0.683459i | −0.0317540 | + | 0.0275150i | −0.670593 | − | 0.741825i | \(-0.733960\pi\) |
0.638839 | + | 0.769340i | \(0.279415\pi\) | |||||||
\(618\) | −7.84430 | + | 26.7152i | −0.315544 | + | 1.07464i | ||||
\(619\) | 9.71640 | − | 21.2759i | 0.390535 | − | 0.855152i | −0.607608 | − | 0.794237i | \(-0.707871\pi\) |
0.998143 | − | 0.0609152i | \(-0.0194019\pi\) | |||||||
\(620\) | −20.2866 | − | 7.58725i | −0.814729 | − | 0.304711i | ||||
\(621\) | −27.0582 | + | 49.3834i | −1.08581 | + | 1.98169i | ||||
\(622\) | 33.2124i | 1.33169i | ||||||||
\(623\) | −8.45286 | − | 3.86029i | −0.338657 | − | 0.154659i | ||||
\(624\) | 5.72252 | + | 1.68028i | 0.229084 | + | 0.0672651i | ||||
\(625\) | 16.4392 | − | 18.8348i | 0.657570 | − | 0.753394i | ||||
\(626\) | −22.3257 | + | 14.3478i | −0.892313 | + | 0.573455i | ||||
\(627\) | 28.3248 | + | 24.5436i | 1.13118 | + | 0.980177i | ||||
\(628\) | −6.90172 | − | 0.992317i | −0.275408 | − | 0.0395978i | ||||
\(629\) | −6.83969 | + | 2.00831i | −0.272716 | + | 0.0800767i | ||||
\(630\) | 34.7815 | + | 46.5497i | 1.38573 | + | 1.85458i | ||||
\(631\) | −0.100025 | − | 0.695690i | −0.00398194 | − | 0.0276950i | 0.987734 | − | 0.156148i | \(-0.0499078\pi\) |
−0.991716 | + | 0.128453i | \(0.958999\pi\) | |||||||
\(632\) | 5.91876 | − | 2.70301i | 0.235436 | − | 0.107520i | ||||
\(633\) | 75.1413 | − | 34.3159i | 2.98660 | − | 1.36393i | ||||
\(634\) | −1.67242 | − | 11.6319i | −0.0664202 | − | 0.461963i | ||||
\(635\) | −27.0265 | + | 20.1940i | −1.07252 | + | 0.801374i | ||||
\(636\) | −32.1693 | + | 9.44576i | −1.27560 | + | 0.374549i | ||||
\(637\) | −14.7101 | − | 2.11500i | −0.582836 | − | 0.0837992i | ||||
\(638\) | −1.85355 | − | 1.60611i | −0.0733829 | − | 0.0635867i | ||||
\(639\) | −32.5055 | + | 20.8900i | −1.28590 | + | 0.826396i | ||||
\(640\) | 2.09578 | − | 0.779545i | 0.0828431 | − | 0.0308142i | ||||
\(641\) | 3.45639 | + | 1.01489i | 0.136519 | + | 0.0400856i | 0.349278 | − | 0.937019i | \(-0.386427\pi\) |
−0.212759 | + | 0.977105i | \(0.568245\pi\) | |||||||
\(642\) | −13.3141 | − | 6.08032i | −0.525464 | − | 0.239971i | ||||
\(643\) | − | 13.8904i | − | 0.547782i | −0.961761 | − | 0.273891i | \(-0.911689\pi\) | ||
0.961761 | − | 0.273891i | \(-0.0883108\pi\) | |||||||
\(644\) | −14.7460 | − | 11.0720i | −0.581074 | − | 0.436299i | ||||
\(645\) | 14.4931 | + | 5.42047i | 0.570665 | + | 0.213431i | ||||
\(646\) | −9.25276 | + | 20.2607i | −0.364045 | + | 0.797147i | ||||
\(647\) | 11.7705 | − | 40.0868i | 0.462748 | − | 1.57597i | −0.316077 | − | 0.948733i | \(-0.602366\pi\) |
0.778825 | − | 0.627241i | \(-0.215816\pi\) | |||||||
\(648\) | −12.3968 | + | 10.7419i | −0.486991 | + | 0.421980i | ||||
\(649\) | −23.8199 | + | 15.3081i | −0.935012 | + | 0.600896i | ||||
\(650\) | −9.45124 | + | 1.34157i | −0.370708 | + | 0.0526208i | ||||
\(651\) | −16.5575 | + | 115.160i | −0.648941 | + | 4.51348i | ||||
\(652\) | 0.525024 | + | 1.78807i | 0.0205615 | + | 0.0700261i | ||||
\(653\) | 21.1846 | − | 32.9639i | 0.829018 | − | 1.28998i | −0.125581 | − | 0.992083i | \(-0.540080\pi\) |
0.954599 | − | 0.297894i | \(-0.0962841\pi\) | |||||||
\(654\) | −3.08860 | − | 21.4817i | −0.120774 | − | 0.840000i | ||||
\(655\) | 0.969583 | + | 13.7297i | 0.0378847 | + | 0.536464i | ||||
\(656\) | −1.80619 | − | 3.95500i | −0.0705198 | − | 0.154417i | ||||
\(657\) | 12.2094 | − | 1.75545i | 0.476334 | − | 0.0684865i | ||||
\(658\) | 7.19013 | − | 11.1881i | 0.280300 | − | 0.436156i | ||||
\(659\) | 32.1479 | − | 9.43948i | 1.25231 | − | 0.367710i | 0.412680 | − | 0.910876i | \(-0.364593\pi\) |
0.839625 | + | 0.543166i | \(0.182775\pi\) | |||||||
\(660\) | −19.8830 | − | 10.8801i | −0.773947 | − | 0.423509i | ||||
\(661\) | 10.5473 | − | 12.1723i | 0.410244 | − | 0.473446i | −0.512597 | − | 0.858630i | \(-0.671316\pi\) |
0.922840 | + | 0.385183i | \(0.125862\pi\) | |||||||
\(662\) | −11.6651 | − | 18.1513i | −0.453378 | − | 0.705470i | ||||
\(663\) | 27.1518 | − | 23.5271i | 1.05449 | − | 0.913719i | ||||
\(664\) | 0.641453 | + | 0.188348i | 0.0248932 | + | 0.00730930i | ||||
\(665\) | −22.4591 | − | 22.4994i | −0.870925 | − | 0.872490i | ||||
\(666\) | 7.99795 | 0.309914 | ||||||||
\(667\) | −1.27173 | + | 3.39463i | −0.0492414 | + | 0.131441i | ||||
\(668\) | − | 13.8580i | − | 0.536184i | ||||||
\(669\) | 27.8846 | − | 61.0588i | 1.07808 | − | 2.36067i | ||||
\(670\) | 20.1122 | + | 15.0840i | 0.777003 | + | 0.582746i | ||||
\(671\) | −7.29841 | − | 8.42282i | −0.281752 | − | 0.325159i | ||||
\(672\) | −6.49383 | − | 10.1046i | −0.250505 | − | 0.389793i | ||||
\(673\) | −38.4943 | − | 33.3555i | −1.48385 | − | 1.28576i | −0.866615 | − | 0.498977i | \(-0.833709\pi\) |
−0.617231 | − | 0.786782i | \(-0.711745\pi\) | |||||||
\(674\) | 1.55333 | − | 10.8036i | 0.0598320 | − | 0.416140i | ||||
\(675\) | 24.4839 | − | 53.3585i | 0.942385 | − | 2.05377i | ||||
\(676\) | −7.86990 | − | 5.05768i | −0.302688 | − | 0.194526i | ||||
\(677\) | 24.9938 | − | 3.59357i | 0.960591 | − | 0.138112i | 0.355858 | − | 0.934540i | \(-0.384189\pi\) |
0.604733 | + | 0.796428i | \(0.293280\pi\) | |||||||
\(678\) | 29.2334 | − | 13.3504i | 1.12270 | − | 0.512721i | ||||
\(679\) | −0.110605 | − | 0.242192i | −0.00424464 | − | 0.00929446i | ||||
\(680\) | 2.87502 | − | 13.1594i | 0.110252 | − | 0.504639i | ||||
\(681\) | −72.2334 | − | 46.4216i | −2.76799 | − | 1.77888i | ||||
\(682\) | −8.85464 | − | 30.1561i | −0.339062 | − | 1.15474i | ||||
\(683\) | 17.2638 | + | 2.48216i | 0.660581 | + | 0.0949772i | 0.464448 | − | 0.885600i | \(-0.346253\pi\) |
0.196132 | + | 0.980577i | \(0.437162\pi\) | |||||||
\(684\) | 16.3652 | − | 18.8865i | 0.625740 | − | 0.722143i | ||||
\(685\) | 5.05386 | + | 23.3330i | 0.193098 | + | 0.891508i | ||||
\(686\) | 1.97434 | + | 2.27851i | 0.0753808 | + | 0.0869940i | ||||
\(687\) | 13.5499 | − | 46.1467i | 0.516961 | − | 1.76061i | ||||
\(688\) | −2.01501 | − | 0.920223i | −0.0768215 | − | 0.0350832i | ||||
\(689\) | −20.4907 | −0.780632 | ||||||||
\(690\) | −4.84523 | + | 33.1477i | −0.184455 | + | 1.26191i | ||||
\(691\) | −43.5576 | −1.65701 | −0.828505 | − | 0.559981i | \(-0.810808\pi\) | ||||
−0.828505 | + | 0.559981i | \(0.810808\pi\) | |||||||
\(692\) | −1.04312 | − | 0.476376i | −0.0396534 | − | 0.0181091i | ||||
\(693\) | −23.7561 | + | 80.9057i | −0.902418 | + | 3.07335i | ||||
\(694\) | 1.42660 | + | 1.64639i | 0.0541531 | + | 0.0624960i | ||||
\(695\) | 12.4891 | − | 2.70510i | 0.473739 | − | 0.102610i | ||||
\(696\) | −1.54629 | + | 1.78451i | −0.0586119 | + | 0.0676417i | ||||
\(697\) | −25.9246 | − | 3.72740i | −0.981966 | − | 0.141185i | ||||
\(698\) | −4.16008 | − | 14.1679i | −0.157461 | − | 0.536264i | ||||
\(699\) | 14.5921 | + | 9.37778i | 0.551925 | + | 0.354700i | ||||
\(700\) | 16.1545 | + | 10.4229i | 0.610581 | + | 0.393947i | ||||
\(701\) | −16.9489 | − | 37.1130i | −0.640153 | − | 1.40174i | −0.899915 | − | 0.436066i | \(-0.856371\pi\) |
0.259762 | − | 0.965673i | \(-0.416356\pi\) | |||||||
\(702\) | −20.3911 | + | 9.31232i | −0.769614 | + | 0.351471i | ||||
\(703\) | −4.33102 | + | 0.622707i | −0.163348 | + | 0.0234858i | ||||
\(704\) | 2.72965 | + | 1.75424i | 0.102878 | + | 0.0661155i | ||||
\(705\) | −24.0976 | − | 1.74524i | −0.907568 | − | 0.0657294i | ||||
\(706\) | −1.29731 | + | 9.02298i | −0.0488248 | + | 0.339584i | ||||
\(707\) | −16.8183 | − | 14.5731i | −0.632516 | − | 0.548078i | ||||
\(708\) | 14.7379 | + | 22.9326i | 0.553884 | + | 0.861860i | ||||
\(709\) | 21.8433 | + | 25.2085i | 0.820342 | + | 0.946725i | 0.999310 | − | 0.0371296i | \(-0.0118214\pi\) |
−0.178968 | + | 0.983855i | \(0.557276\pi\) | |||||||
\(710\) | −7.67015 | + | 10.2270i | −0.287856 | + | 0.383811i | ||||
\(711\) | −18.2686 | + | 40.0027i | −0.685128 | + | 1.50022i | ||||
\(712\) | − | 2.41680i | − | 0.0905733i | ||||||
\(713\) | −37.2280 | + | 27.7847i | −1.39420 | + | 1.04054i | ||||
\(714\) | −72.3548 | −2.70781 | ||||||||
\(715\) | −9.78614 | − | 9.80372i | −0.365981 | − | 0.366638i | ||||
\(716\) | 19.5953 | + | 5.75369i | 0.732310 | + | 0.215026i | ||||
\(717\) | −4.18034 | + | 3.62229i | −0.156118 | + | 0.135277i | ||||
\(718\) | −8.15934 | − | 12.6962i | −0.304504 | − | 0.473817i | ||||
\(719\) | 22.7517 | − | 26.2569i | 0.848497 | − | 0.979218i | −0.151460 | − | 0.988463i | \(-0.548398\pi\) |
0.999957 | + | 0.00924569i | \(0.00294304\pi\) | |||||||
\(720\) | −7.25468 | + | 13.2577i | −0.270366 | + | 0.494084i | ||||
\(721\) | 32.8823 | − | 9.65511i | 1.22460 | − | 0.359575i | ||||
\(722\) | 2.88060 | − | 4.48230i | 0.107205 | − | 0.166814i | ||||
\(723\) | −59.6684 | + | 8.57902i | −2.21909 | + | 0.319057i | ||||
\(724\) | 6.37784 | + | 13.9655i | 0.237030 | + | 0.519024i | ||||
\(725\) | 1.07127 | − | 3.62434i | 0.0397861 | − | 0.134605i | ||||
\(726\) | 0.209671 | + | 1.45829i | 0.00778160 | + | 0.0541222i | ||||
\(727\) | −0.398059 | + | 0.619392i | −0.0147632 | + | 0.0229720i | −0.848557 | − | 0.529104i | \(-0.822528\pi\) |
0.833794 | + | 0.552076i | \(0.186164\pi\) | |||||||
\(728\) | −2.06817 | − | 7.04353i | −0.0766513 | − | 0.261050i | ||||
\(729\) | 0.117585 | − | 0.817822i | 0.00435500 | − | 0.0302897i | ||||
\(730\) | 3.58354 | − | 1.95258i | 0.132633 | − | 0.0722684i | ||||
\(731\) | −11.2257 | + | 7.21431i | −0.415197 | + | 0.266831i | ||||
\(732\) | −8.10907 | + | 7.02655i | −0.299720 | + | 0.259709i | ||||
\(733\) | 1.83337 | − | 6.24389i | 0.0677171 | − | 0.230623i | −0.918680 | − | 0.395002i | \(-0.870744\pi\) |
0.986397 | + | 0.164379i | \(0.0525620\pi\) | |||||||
\(734\) | −12.9388 | + | 28.3320i | −0.477580 | + | 1.04575i | ||||
\(735\) | 19.0474 | − | 50.9283i | 0.702573 | − | 1.87852i | ||||
\(736\) | 1.02620 | − | 4.68475i | 0.0378263 | − | 0.172682i | ||||
\(737\) | 36.4808i | 1.34379i | ||||||||
\(738\) | 26.7304 | + | 12.2074i | 0.983961 | + | 0.449360i | ||||
\(739\) | 9.79824 | + | 2.87702i | 0.360434 | + | 0.105833i | 0.456935 | − | 0.889500i | \(-0.348947\pi\) |
−0.0965013 | + | 0.995333i | \(0.530765\pi\) | |||||||
\(740\) | 2.48008 | − | 0.922487i | 0.0911696 | − | 0.0339113i | ||||
\(741\) | 18.5518 | − | 11.9225i | 0.681518 | − | 0.437985i | ||||
\(742\) | 31.1875 | + | 27.0241i | 1.14493 | + | 0.992087i | ||||
\(743\) | 25.2597 | + | 3.63180i | 0.926689 | + | 0.133238i | 0.589104 | − | 0.808057i | \(-0.299481\pi\) |
0.337585 | + | 0.941295i | \(0.390390\pi\) | |||||||
\(744\) | −29.0328 | + | 8.52481i | −1.06440 | + | 0.312535i | ||||
\(745\) | −17.8282 | − | 23.8603i | −0.653175 | − | 0.874174i | ||||
\(746\) | 1.24557 | + | 8.66314i | 0.0456036 | + | 0.317180i | ||||
\(747\) | −4.11006 | + | 1.87700i | −0.150379 | + | 0.0686759i | ||||
\(748\) | 17.7796 | − | 8.11966i | 0.650086 | − | 0.296884i | ||||
\(749\) | 2.56388 | + | 17.8322i | 0.0936821 | + | 0.651573i | ||||
\(750\) | 2.58539 | − | 34.8302i | 0.0944052 | − | 1.27182i | ||||
\(751\) | −30.1737 | + | 8.85979i | −1.10105 | + | 0.323298i | −0.781270 | − | 0.624193i | \(-0.785428\pi\) |
−0.319782 | + | 0.947491i | \(0.603610\pi\) | |||||||
\(752\) | 3.42363 | + | 0.492244i | 0.124847 | + | 0.0179503i | ||||
\(753\) | 67.5569 | + | 58.5384i | 2.46191 | + | 2.13326i | ||||
\(754\) | −1.21402 | + | 0.780201i | −0.0442118 | + | 0.0284132i | ||||
\(755\) | −2.47883 | − | 6.66426i | −0.0902139 | − | 0.242537i | ||||
\(756\) | 43.3176 | + | 12.7192i | 1.57545 | + | 0.462593i | ||||
\(757\) | 20.3390 | + | 9.28852i | 0.739234 | + | 0.337597i | 0.749191 | − | 0.662354i | \(-0.230442\pi\) |
−0.00995743 | + | 0.999950i | \(0.503170\pi\) | |||||||
\(758\) | − | 15.6680i | − | 0.569089i | ||||||
\(759\) | −42.6990 | + | 23.2353i | −1.54987 | + | 0.843388i | ||||
\(760\) | 2.89631 | − | 7.74408i | 0.105060 | − | 0.280907i | ||||
\(761\) | 9.76470 | − | 21.3817i | 0.353970 | − | 0.775087i | −0.645961 | − | 0.763370i | \(-0.723543\pi\) |
0.999931 | − | 0.0117164i | \(-0.00372955\pi\) | |||||||
\(762\) | −13.2789 | + | 45.2237i | −0.481043 | + | 1.63828i | ||||
\(763\) | −20.1879 | + | 17.4930i | −0.730853 | + | 0.633288i | ||||
\(764\) | −2.47981 | + | 1.59368i | −0.0897163 | + | 0.0576572i | ||||
\(765\) | 43.5578 | + | 79.9406i | 1.57483 | + | 2.89026i | ||||
\(766\) | 1.16563 | − | 8.10714i | 0.0421160 | − | 0.292923i | ||||
\(767\) | 4.69375 | + | 15.9854i | 0.169481 | + | 0.577201i | ||||
\(768\) | 1.68890 | − | 2.62798i | 0.0609429 | − | 0.0948289i | ||||
\(769\) | −1.10736 | − | 7.70188i | −0.0399325 | − | 0.277737i | 0.960065 | − | 0.279776i | \(-0.0902601\pi\) |
−0.999998 | + | 0.00203880i | \(0.999351\pi\) | |||||||
\(770\) | 1.96520 | + | 27.8281i | 0.0708209 | + | 1.00285i | ||||
\(771\) | −20.1053 | − | 44.0245i | −0.724076 | − | 1.58550i | ||||
\(772\) | −3.18495 | + | 0.457926i | −0.114629 | + | 0.0164811i | ||||
\(773\) | −8.04304 | + | 12.5152i | −0.289288 | + | 0.450141i | −0.955231 | − | 0.295862i | \(-0.904393\pi\) |
0.665943 | + | 0.746003i | \(0.268029\pi\) | |||||||
\(774\) | 14.3652 | − | 4.21801i | 0.516347 | − | 0.151613i | ||||
\(775\) | 36.6586 | − | 31.6498i | 1.31681 | − | 1.13689i | ||||
\(776\) | 0.0453466 | − | 0.0523328i | 0.00162785 | − | 0.00187864i | ||||
\(777\) | −7.68458 | − | 11.9574i | −0.275683 | − | 0.428971i | ||||
\(778\) | 14.2454 | − | 12.3437i | 0.510722 | − | 0.442543i | ||||
\(779\) | −15.4254 | − | 4.52931i | −0.552673 | − | 0.162279i | ||||
\(780\) | −9.43854 | + | 9.42161i | −0.337954 | + | 0.337348i | ||||
\(781\) | −18.5503 | −0.663782 | ||||||||
\(782\) | −20.3984 | − | 20.4574i | −0.729444 | − | 0.731556i | ||||
\(783\) | − | 8.87507i | − | 0.317169i | ||||||
\(784\) | −3.23364 | + | 7.08067i | −0.115487 | + | 0.252881i | ||||
\(785\) | 9.35478 | − | 12.4732i | 0.333886 | − | 0.445187i | ||||
\(786\) | 12.5922 | + | 14.5321i | 0.449147 | + | 0.518344i | ||||
\(787\) | −18.6927 | − | 29.0864i | −0.666323 | − | 1.03682i | −0.995701 | − | 0.0926211i | \(-0.970475\pi\) |
0.329378 | − | 0.944198i | \(-0.393161\pi\) | |||||||
\(788\) | −11.0019 | − | 9.53321i | −0.391927 | − | 0.339607i | ||||
\(789\) | −4.11430 | + | 28.6156i | −0.146473 | + | 1.01874i | ||||
\(790\) | −1.05098 | + | 14.5116i | −0.0373922 | + | 0.516298i | ||||
\(791\) | −33.2770 | − | 21.3858i | −1.18319 | − | 0.760391i | ||||
\(792\) | −21.7069 | + | 3.12097i | −0.771319 | + | 0.110899i | ||||
\(793\) | −5.96506 | + | 2.72415i | −0.211826 | + | 0.0967375i | ||||
\(794\) | 10.3801 | + | 22.7293i | 0.368376 | + | 0.806631i | ||||
\(795\) | 16.0017 | − | 73.2419i | 0.567521 | − | 2.59762i | ||||
\(796\) | 7.09191 | + | 4.55770i | 0.251366 | + | 0.161543i | ||||
\(797\) | 9.12122 | + | 31.0640i | 0.323090 | + | 1.10034i | 0.947635 | + | 0.319355i | \(0.103466\pi\) |
−0.624545 | + | 0.780989i | \(0.714716\pi\) | |||||||
\(798\) | −43.9605 | − | 6.32057i | −1.55619 | − | 0.223746i | ||||
\(799\) | 13.6444 | − | 15.7465i | 0.482704 | − | 0.557070i | ||||
\(800\) | −0.720457 | + | 4.94782i | −0.0254720 | + | 0.174932i | ||||
\(801\) | 10.6967 | + | 12.3446i | 0.377948 | + | 0.436175i | ||||
\(802\) | −1.46440 | + | 4.98730i | −0.0517099 | + | 0.176108i | ||||
\(803\) | 5.38673 | + | 2.46004i | 0.190093 | + | 0.0868128i | ||||
\(804\) | 35.1219 | 1.23865 | ||||||||
\(805\) | 37.5470 | − | 17.0409i | 1.32336 | − | 0.600614i | ||||
\(806\) | −18.4928 | −0.651383 | ||||||||
\(807\) | −82.8889 | − | 37.8541i | −2.91783 | − | 1.33253i | ||||
\(808\) | 1.63058 | − | 5.55326i | 0.0573637 | − | 0.195363i | ||||
\(809\) | 21.1367 | + | 24.3931i | 0.743128 | + | 0.857616i | 0.993883 | − | 0.110435i | \(-0.0352243\pi\) |
−0.250755 | + | 0.968051i | \(0.580679\pi\) | |||||||
\(810\) | −7.76448 | − | 35.8476i | −0.272816 | − | 1.25956i | ||||
\(811\) | 18.5484 | − | 21.4060i | 0.651322 | − | 0.751666i | −0.330012 | − | 0.943977i | \(-0.607053\pi\) |
0.981334 | + | 0.192311i | \(0.0615982\pi\) | |||||||
\(812\) | 2.87674 | + | 0.413613i | 0.100954 | + | 0.0145150i | ||||
\(813\) | 24.7669 | + | 84.3484i | 0.868614 | + | 2.95823i | ||||
\(814\) | 3.23018 | + | 2.07591i | 0.113218 | + | 0.0727607i | ||||
\(815\) | −4.07101 | − | 0.889421i | −0.142601 | − | 0.0311551i | ||||
\(816\) | −7.81721 | − | 17.1173i | −0.273657 | − | 0.599225i | ||||
\(817\) | −7.45059 | + | 3.40257i | −0.260663 | + | 0.119041i | ||||
\(818\) | −38.3649 | + | 5.51604i | −1.34140 | + | 0.192864i | ||||
\(819\) | 41.7383 | + | 26.8236i | 1.45845 | + | 0.937291i | ||||
\(820\) | 9.69683 | + | 0.702280i | 0.338628 | + | 0.0245247i | ||||
\(821\) | 1.21178 | − | 8.42809i | 0.0422913 | − | 0.294142i | −0.957689 | − | 0.287806i | \(-0.907074\pi\) |
0.999980 | − | 0.00633604i | \(-0.00201684\pi\) | |||||||
\(822\) | 25.2066 | + | 21.8416i | 0.879180 | + | 0.761814i | ||||
\(823\) | 8.45457 | + | 13.1556i | 0.294708 | + | 0.458575i | 0.956758 | − | 0.290885i | \(-0.0939497\pi\) |
−0.662050 | + | 0.749460i | \(0.730313\pi\) | |||||||
\(824\) | 5.83675 | + | 6.73597i | 0.203333 | + | 0.234659i | ||||
\(825\) | 42.6847 | − | 27.3236i | 1.48609 | − | 0.951287i | ||||
\(826\) | 13.9384 | − | 30.5208i | 0.484978 | − | 1.06195i | ||||
\(827\) | − | 3.79473i | − | 0.131956i | −0.997821 | − | 0.0659778i | \(-0.978983\pi\) | ||
0.997821 | − | 0.0659778i | \(-0.0210167\pi\) | |||||||
\(828\) | 15.4929 | + | 28.4709i | 0.538415 | + | 0.989432i | ||||
\(829\) | −22.4881 | −0.781044 | −0.390522 | − | 0.920594i | \(-0.627705\pi\) | ||||
−0.390522 | + | 0.920594i | \(0.627705\pi\) | |||||||
\(830\) | −1.05799 | + | 1.05609i | −0.0367234 | + | 0.0366576i | ||||
\(831\) | 57.4717 | + | 16.8752i | 1.99367 | + | 0.585395i | ||||
\(832\) | 1.44287 | − | 1.25026i | 0.0500227 | − | 0.0433449i | ||||
\(833\) | 25.3509 | + | 39.4467i | 0.878355 | + | 1.36675i | ||||
\(834\) | 11.6908 | − | 13.4920i | 0.404821 | − | 0.467188i | ||||
\(835\) | 27.1838 | + | 14.8751i | 0.940733 | + | 0.514776i | ||||
\(836\) | 11.5116 | − | 3.38012i | 0.398138 | − | 0.116904i | ||||
\(837\) | 61.4875 | − | 95.6765i | 2.12532 | − | 3.30706i | ||||
\(838\) | 26.4039 | − | 3.79631i | 0.912108 | − | 0.131141i | ||||
\(839\) | 14.4137 | + | 31.5617i | 0.497617 | + | 1.08963i | 0.977237 | + | 0.212153i | \(0.0680474\pi\) |
−0.479620 | + | 0.877477i | \(0.659225\pi\) | |||||||
\(840\) | 26.7915 | − | 1.89200i | 0.924394 | − | 0.0652801i | ||||
\(841\) | 4.04582 | + | 28.1393i | 0.139511 | + | 0.970321i | ||||
\(842\) | 14.4757 | − | 22.5246i | 0.498865 | − | 0.776249i | ||||
\(843\) | −17.4764 | − | 59.5192i | −0.601919 | − | 2.04995i | ||||
\(844\) | 3.76330 | − | 26.1743i | 0.129538 | − | 0.900957i | ||||
\(845\) | 18.3686 | − | 10.0086i | 0.631898 | − | 0.344307i | ||||
\(846\) | −19.6660 | + | 12.6386i | −0.676131 | + | 0.434523i | ||||
\(847\) | 1.37047 | − | 1.18751i | 0.0470897 | − | 0.0408035i | ||||
\(848\) | −3.02372 | + | 10.2979i | −0.103835 | + | 0.353630i | ||||
\(849\) | 4.94385 | − | 10.8255i | 0.169672 | − | 0.371531i | ||||
\(850\) | 22.7272 | + | 19.7648i | 0.779537 | + | 0.677926i | ||||
\(851\) | 1.21437 | − | 5.54378i | 0.0416282 | − | 0.190038i | ||||
\(852\) | 17.8593i | 0.611850i | ||||||||
\(853\) | −18.0466 | − | 8.24163i | −0.617905 | − | 0.282188i | 0.0817673 | − | 0.996651i | \(-0.473944\pi\) |
−0.699673 | + | 0.714463i | \(0.746671\pi\) | |||||||
\(854\) | 12.6718 | + | 3.72077i | 0.433620 | + | 0.127322i | ||||
\(855\) | 19.4811 | + | 52.3745i | 0.666241 | + | 1.79117i | ||||
\(856\) | −3.94164 | + | 2.53314i | −0.134722 | + | 0.0865808i | ||||
\(857\) | −12.1385 | − | 10.5181i | −0.414644 | − | 0.359291i | 0.422416 | − | 0.906402i | \(-0.361182\pi\) |
−0.837060 | + | 0.547111i | \(0.815728\pi\) | |||||||
\(858\) | −19.1550 | − | 2.75408i | −0.653942 | − | 0.0940227i | ||||
\(859\) | 46.2661 | − | 13.5850i | 1.57858 | − | 0.463513i | 0.629096 | − | 0.777327i | \(-0.283425\pi\) |
0.949484 | + | 0.313814i | \(0.101607\pi\) | |||||||
\(860\) | 3.96800 | − | 2.96485i | 0.135308 | − | 0.101101i | ||||
\(861\) | −7.43230 | − | 51.6928i | −0.253292 | − | 1.76169i | ||||
\(862\) | −31.6264 | + | 14.4433i | −1.07720 | + | 0.491940i | ||||
\(863\) | −8.69453 | + | 3.97066i | −0.295965 | + | 0.135163i | −0.557864 | − | 0.829933i | \(-0.688379\pi\) |
0.261898 | + | 0.965095i | \(0.415651\pi\) | |||||||
\(864\) | 1.67100 | + | 11.6220i | 0.0568484 | + | 0.395389i | ||||
\(865\) | 2.05413 | − | 1.53483i | 0.0698425 | − | 0.0521857i | ||||
\(866\) | −10.6824 | + | 3.13663i | −0.363003 | + | 0.106587i | ||||
\(867\) | −59.6368 | − | 8.57447i | −2.02537 | − | 0.291204i | ||||
\(868\) | 28.1468 | + | 24.3893i | 0.955364 | + | 0.827827i | ||||
\(869\) | −17.7612 | + | 11.4144i | −0.602508 | + | 0.387208i | ||||
\(870\) | −1.84070 | − | 4.94866i | −0.0624055 | − | 0.167775i | ||||
\(871\) | 20.5957 | + | 6.04743i | 0.697858 | + | 0.204909i | ||||
\(872\) | −6.31950 | − | 2.88602i | −0.214005 | − | 0.0977329i | ||||
\(873\) | 0.468010i | 0.0158397i | ||||||||
\(874\) | −10.6063 | − | 14.2112i | −0.358765 | − | 0.480701i | ||||
\(875\) | −37.7855 | + | 20.5005i | −1.27738 | + | 0.693045i | ||||
\(876\) | 2.36840 | − | 5.18607i | 0.0800208 | − | 0.175221i | ||||
\(877\) | 8.71467 | − | 29.6794i | 0.294274 | − | 1.00220i | −0.671107 | − | 0.741360i | \(-0.734181\pi\) |
0.965381 | − | 0.260844i | \(-0.0840007\pi\) | |||||||
\(878\) | −5.47144 | + | 4.74103i | −0.184652 | + | 0.160002i | ||||
\(879\) | −52.4697 | + | 33.7202i | −1.76976 | + | 1.13735i | ||||
\(880\) | −6.37110 | + | 3.47146i | −0.214770 | + | 0.117023i | ||||
\(881\) | 0.479230 | − | 3.33312i | 0.0161457 | − | 0.112296i | −0.980155 | − | 0.198234i | \(-0.936480\pi\) |
0.996300 | + | 0.0859379i | \(0.0273887\pi\) | |||||||
\(882\) | −14.8219 | − | 50.4789i | −0.499081 | − | 1.69971i | ||||
\(883\) | −9.78488 | + | 15.2256i | −0.329287 | + | 0.512381i | −0.965939 | − | 0.258771i | \(-0.916683\pi\) |
0.636652 | + | 0.771152i | \(0.280319\pi\) | |||||||
\(884\) | −1.63673 | − | 11.3837i | −0.0550490 | − | 0.382875i | ||||
\(885\) | −60.8039 | + | 4.29393i | −2.04390 | + | 0.144339i | ||||
\(886\) | −8.47225 | − | 18.5516i | −0.284631 | − | 0.623254i | ||||
\(887\) | −37.2908 | + | 5.36161i | −1.25210 | + | 0.180025i | −0.736284 | − | 0.676673i | \(-0.763421\pi\) |
−0.515818 | + | 0.856698i | \(0.672512\pi\) | |||||||
\(888\) | 1.99859 | − | 3.10986i | 0.0670681 | − | 0.104360i | ||||
\(889\) | 55.6634 | − | 16.3442i | 1.86689 | − | 0.548168i | ||||
\(890\) | 4.74076 | + | 2.59418i | 0.158911 | + | 0.0869570i | ||||
\(891\) | 34.8546 | − | 40.2244i | 1.16767 | − | 1.34757i | ||||
\(892\) | −11.6171 | − | 18.0765i | −0.388969 | − | 0.605247i | ||||
\(893\) | 9.66545 | − | 8.37516i | 0.323442 | − | 0.280264i | ||||
\(894\) | −39.9256 | − | 11.7232i | −1.33531 | − | 0.392083i | ||||
\(895\) | −32.3198 | + | 32.2619i | −1.08033 | + | 1.07840i | ||||
\(896\) | −3.84501 | −0.128453 | ||||||||
\(897\) | 6.03955 | + | 27.9579i | 0.201655 | + | 0.933489i | ||||
\(898\) | − | 16.9914i | − | 0.567011i | ||||||
\(899\) | 3.04146 | − | 6.65987i | 0.101438 | − | 0.222119i | ||||
\(900\) | −18.2189 | − | 28.4614i | −0.607297 | − | 0.948713i | ||||
\(901\) | 42.3379 | + | 48.8605i | 1.41048 | + | 1.62778i | ||||
\(902\) | 7.62730 | + | 11.8683i | 0.253961 | + | 0.395171i | ||||
\(903\) | −20.1086 | − | 17.4242i | −0.669171 | − | 0.579840i | ||||
\(904\) | 1.46409 | − | 10.1830i | 0.0486951 | − | 0.338682i | ||||
\(905\) | −34.2405 | − | 2.47982i | −1.13819 | − | 0.0824321i | ||||
\(906\) | −8.35655 | − | 5.37043i | −0.277628 | − | 0.178421i | ||||
\(907\) | −0.628372 | + | 0.0903462i | −0.0208647 | + | 0.00299990i | −0.152739 | − | 0.988267i | \(-0.548809\pi\) |
0.131875 | + | 0.991266i | \(0.457900\pi\) | |||||||
\(908\) | −25.0024 | + | 11.4182i | −0.829735 | + | 0.378927i | ||||
\(909\) | 16.2498 | + | 35.5820i | 0.538971 | + | 1.18018i | ||||
\(910\) | 16.0364 | + | 3.50359i | 0.531603 | + | 0.116143i | ||||
\(911\) | 38.7545 | + | 24.9060i | 1.28399 | + | 0.825173i | 0.991375 | − | 0.131056i | \(-0.0418368\pi\) |
0.292619 | + | 0.956229i | \(0.405473\pi\) | |||||||
\(912\) | −3.25421 | − | 11.0828i | −0.107758 | − | 0.366989i | ||||
\(913\) | −2.14714 | − | 0.308712i | −0.0710600 | − | 0.0102169i | ||||
\(914\) | −6.95682 | + | 8.02860i | −0.230111 | + | 0.265563i | ||||
\(915\) | −5.07896 | − | 23.4489i | −0.167905 | − | 0.775197i | ||||
\(916\) | −10.0822 | − | 11.6354i | −0.333124 | − | 0.384446i | ||||
\(917\) | 6.66793 | − | 22.7089i | 0.220195 | − | 0.749914i | ||||
\(918\) | 64.3377 | + | 29.3821i | 2.12346 | + | 0.969753i | ||||
\(919\) | −4.06245 | −0.134008 | −0.0670040 | − | 0.997753i | \(-0.521344\pi\) | ||||
−0.0670040 | + | 0.997753i | \(0.521344\pi\) | |||||||
\(920\) | 8.08803 | + | 7.04157i | 0.266655 | + | 0.232154i | ||||
\(921\) | −21.4164 | −0.705693 | ||||||||
\(922\) | 21.7049 | + | 9.91230i | 0.714813 | + | 0.326444i | ||||
\(923\) | −3.07509 | + | 10.4728i | −0.101218 | + | 0.344717i | ||||
\(924\) | 25.5224 | + | 29.4544i | 0.839626 | + | 0.968980i | ||||
\(925\) | −0.852565 | + | 5.85509i | −0.0280322 | + | 0.192514i | ||||
\(926\) | 6.68624 | − | 7.71633i | 0.219723 | − | 0.253574i | ||||
\(927\) | −59.6264 | − | 8.57298i | −1.95839 | − | 0.281574i | ||||
\(928\) | 0.212953 | + | 0.725251i | 0.00699052 | + | 0.0238075i | ||||
\(929\) | −1.62131 | − | 1.04196i | −0.0531936 | − | 0.0341854i | 0.513774 | − | 0.857926i | \(-0.328247\pi\) |
−0.566967 | + | 0.823740i | \(0.691883\pi\) | |||||||
\(930\) | 14.4415 | − | 66.1009i | 0.473556 | − | 2.16753i | ||||
\(931\) | 11.9565 | + | 26.1811i | 0.391859 | + | 0.858052i | ||||
\(932\) | 5.05083 | − | 2.30664i | 0.165445 | − | 0.0755564i | ||||
\(933\) | −102.695 | + | 14.7654i | −3.36210 | + | 0.483397i | ||||
\(934\) | −5.75728 | − | 3.69998i | −0.188384 | − | 0.121067i | ||||
\(935\) | −3.15708 | + | 43.5918i | −0.103247 | + | 1.42560i | ||||
\(936\) | −1.83637 | + | 12.7722i | −0.0600236 | + | 0.417473i | ||||
\(937\) | 21.8438 | + | 18.9277i | 0.713605 | + | 0.618342i | 0.934085 | − | 0.357049i | \(-0.116217\pi\) |
−0.220481 | + | 0.975391i | \(0.570763\pi\) | |||||||
\(938\) | −23.3717 | − | 36.3670i | −0.763112 | − | 1.18743i | ||||
\(939\) | −54.2902 | − | 62.6542i | −1.77169 | − | 2.04464i | ||||
\(940\) | −4.64049 | + | 6.18738i | −0.151356 | + | 0.201810i | ||||
\(941\) | −9.76305 | + | 21.3781i | −0.318266 | + | 0.696906i | −0.999378 | − | 0.0352737i | \(-0.988770\pi\) |
0.681111 | + | 0.732180i | \(0.261497\pi\) | |||||||
\(942\) | − | 21.7819i | − | 0.709691i | ||||||
\(943\) | 12.5202 | − | 16.6747i | 0.407713 | − | 0.543003i | ||||
\(944\) | 8.72634 | 0.284018 | ||||||||
\(945\) | −71.4467 | + | 71.3186i | −2.32416 | + | 2.31999i | ||||
\(946\) | 6.89658 | + | 2.02502i | 0.224227 | + | 0.0658390i | ||||
\(947\) | 24.1888 | − | 20.9597i | 0.786031 | − | 0.681099i | −0.166331 | − | 0.986070i | \(-0.553192\pi\) |
0.952362 | + | 0.304970i | \(0.0986466\pi\) | |||||||
\(948\) | 10.9893 | + | 17.0996i | 0.356914 | + | 0.555370i | ||||
\(949\) | 2.28180 | − | 2.63334i | 0.0740704 | − | 0.0854818i | ||||
\(950\) | 12.0818 | + | 13.9938i | 0.391985 | + | 0.454019i | ||||
\(951\) | 35.2234 | − | 10.3425i | 1.14220 | − | 0.335379i | ||||
\(952\) | −12.5222 | + | 19.4850i | −0.405848 | + | 0.631511i | ||||
\(953\) | 13.1519 | − | 1.89095i | 0.426031 | − | 0.0612540i | 0.0740353 | − | 0.997256i | \(-0.476412\pi\) |
0.351996 | + | 0.936002i | \(0.385503\pi\) | |||||||
\(954\) | −30.1333 | − | 65.9827i | −0.975601 | − | 2.13627i | ||||
\(955\) | −0.464322 | − | 6.57500i | −0.0150251 | − | 0.212762i | ||||
\(956\) | 0.251994 | + | 1.75265i | 0.00815006 | + | 0.0566849i | ||||
\(957\) | 4.14220 | − | 6.44539i | 0.133898 | − | 0.208350i | ||||
\(958\) | 8.32005 | + | 28.3355i | 0.268808 | + | 0.915478i | ||||
\(959\) | 5.84237 | − | 40.6346i | 0.188660 | − | 1.31216i | ||||
\(960\) | 3.34215 | + | 6.13378i | 0.107867 | + | 0.197967i | ||||
\(961\) | 52.8495 | − | 33.9643i | 1.70482 | − | 1.09562i | ||||
\(962\) | 1.70745 | − | 1.47951i | 0.0550504 | − | 0.0477014i | ||||
\(963\) | 8.92167 | − | 30.3844i | 0.287497 | − | 0.979124i | ||||
\(964\) | −8.01633 | + | 17.5533i | −0.258188 | + | 0.565354i | ||||
\(965\) | 2.52044 | − | 6.73909i | 0.0811359 | − | 0.216939i | ||||
\(966\) | 27.6800 | − | 50.5183i | 0.890588 | − | 1.62540i | ||||
\(967\) | − | 21.5700i | − | 0.693644i | −0.937931 | − | 0.346822i | \(-0.887261\pi\) | ||
0.937931 | − | 0.346822i | \(-0.112739\pi\) | |||||||
\(968\) | 0.429001 | + | 0.195918i | 0.0137886 | + | 0.00629705i | ||||
\(969\) | −66.7614 | − | 19.6029i | −2.14469 | − | 0.629736i | ||||
\(970\) | 0.0539805 | + | 0.145125i | 0.00173321 | + | 0.00465968i | ||||
\(971\) | −14.7530 | + | 9.48117i | −0.473446 | + | 0.304265i | −0.755518 | − | 0.655128i | \(-0.772615\pi\) |
0.282072 | + | 0.959393i | \(0.408978\pi\) | |||||||
\(972\) | −12.1050 | − | 10.4891i | −0.388269 | − | 0.336437i | ||||
\(973\) | −21.7499 | − | 3.12716i | −0.697269 | − | 0.100252i | ||||
\(974\) | 4.74395 | − | 1.39295i | 0.152006 | − | 0.0446329i | ||||
\(975\) | −8.35004 | − | 28.6276i | −0.267415 | − | 0.916818i | ||||
\(976\) | 0.488820 | + | 3.39982i | 0.0156467 | + | 0.108825i | ||||
\(977\) | −25.4035 | + | 11.6014i | −0.812731 | + | 0.371162i | −0.778023 | − | 0.628236i | \(-0.783777\pi\) |
−0.0347076 | + | 0.999398i | \(0.511050\pi\) | |||||||
\(978\) | −5.29544 | + | 2.41835i | −0.169330 | + | 0.0773302i | ||||
\(979\) | 1.11602 | + | 7.76207i | 0.0356681 | + | 0.248077i | ||||
\(980\) | −10.4184 | − | 13.9434i | −0.332803 | − | 0.445406i | ||||
\(981\) | 45.0524 | − | 13.2286i | 1.43841 | − | 0.422356i | ||||
\(982\) | −31.4759 | − | 4.52556i | −1.00444 | − | 0.144416i | ||||
\(983\) | −28.0580 | − | 24.3124i | −0.894912 | − | 0.775446i | 0.0802878 | − | 0.996772i | \(-0.474416\pi\) |
−0.975200 | + | 0.221326i | \(0.928962\pi\) | |||||||
\(984\) | 11.4262 | − | 7.34318i | 0.364255 | − | 0.234092i | ||||
\(985\) | 30.5096 | − | 11.3483i | 0.972117 | − | 0.361587i | ||||
\(986\) | 4.36881 | + | 1.28280i | 0.139131 | + | 0.0408527i | ||||
\(987\) | 37.7910 | + | 17.2586i | 1.20290 | + | 0.549346i | ||||
\(988\) | − | 7.05935i | − | 0.224588i | ||||||
\(989\) | −0.742562 | − | 10.5977i | −0.0236121 | − | 0.336987i | ||||
\(990\) | 17.1779 | − | 45.9299i | 0.545951 | − | 1.45975i | ||||
\(991\) | 9.00981 | − | 19.7287i | 0.286206 | − | 0.626704i | −0.710853 | − | 0.703341i | \(-0.751691\pi\) |
0.997059 | + | 0.0766367i | \(0.0244182\pi\) | |||||||
\(992\) | −2.72892 | + | 9.29383i | −0.0866432 | + | 0.295079i | ||||
\(993\) | 50.9393 | − | 44.1392i | 1.61651 | − | 1.40071i | ||||
\(994\) | 18.4925 | − | 11.8844i | 0.586545 | − | 0.376950i | ||||
\(995\) | −16.5527 | + | 9.01920i | −0.524757 | + | 0.285928i | ||||
\(996\) | −0.297213 | + | 2.06716i | −0.00941756 | + | 0.0655005i | ||||
\(997\) | 7.38805 | + | 25.1614i | 0.233982 | + | 0.796869i | 0.989846 | + | 0.142141i | \(0.0453986\pi\) |
−0.755865 | + | 0.654728i | \(0.772783\pi\) | |||||||
\(998\) | −14.5824 | + | 22.6906i | −0.461598 | + | 0.718260i | ||||
\(999\) | 1.97740 | + | 13.7531i | 0.0625622 | + | 0.435130i |
(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 | 230.2.j.a.29.7 | yes | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.29.6 | ✓ | 120 | |
23.4 | even | 11 | inner | 230.2.j.a.119.6 | yes | 120 | |
115.4 | even | 22 | inner | 230.2.j.a.119.7 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.29.6 | ✓ | 120 | 5.4 | even | 2 | inner | |
230.2.j.a.29.7 | yes | 120 | 1.1 | even | 1 | trivial | |
230.2.j.a.119.6 | yes | 120 | 23.4 | even | 11 | inner | |
230.2.j.a.119.7 | yes | 120 | 115.4 | even | 22 | inner |