Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 535.2 | ||
Character | \(\chi\) | \(=\) | 546.535 |
Dual form | 546.2.by.b.397.2 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | −0.349490 | + | 1.30432i | −0.156297 | + | 0.583308i | 0.842694 | + | 0.538393i | \(0.180968\pi\) |
−0.998991 | + | 0.0449150i | \(0.985698\pi\) | |||||||
\(6\) | −0.965926 | + | 0.258819i | −0.394338 | + | 0.105662i | ||||
\(7\) | −0.635473 | + | 2.56830i | −0.240186 | + | 0.970727i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 1.35033 | 0.427011 | ||||||||
\(11\) | −1.88349 | − | 1.88349i | −0.567893 | − | 0.567893i | 0.363645 | − | 0.931538i | \(-0.381532\pi\) |
−0.931538 | + | 0.363645i | \(0.881532\pi\) | |||||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | 3.33563 | − | 1.36878i | 0.925138 | − | 0.379632i | ||||
\(14\) | 2.64526 | − | 0.0509058i | 0.706976 | − | 0.0136051i | ||||
\(15\) | 1.30432 | + | 0.349490i | 0.336773 | + | 0.0902381i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 2.62268 | + | 4.54261i | 0.636093 | + | 1.10174i | 0.986282 | + | 0.165066i | \(0.0527838\pi\) |
−0.350190 | + | 0.936679i | \(0.613883\pi\) | |||||||
\(18\) | 0.258819 | + | 0.965926i | 0.0610042 | + | 0.227671i | ||||
\(19\) | 4.88227 | + | 4.88227i | 1.12007 | + | 1.12007i | 0.991730 | + | 0.128340i | \(0.0409648\pi\) |
0.128340 | + | 0.991730i | \(0.459035\pi\) | |||||||
\(20\) | −0.349490 | − | 1.30432i | −0.0781485 | − | 0.291654i | ||||
\(21\) | 2.56830 | + | 0.635473i | 0.560449 | + | 0.138672i | ||||
\(22\) | −1.33183 | + | 2.30679i | −0.283947 | + | 0.491810i | ||||
\(23\) | 0.227309 | + | 0.131237i | 0.0473972 | + | 0.0273648i | 0.523511 | − | 0.852019i | \(-0.324622\pi\) |
−0.476114 | + | 0.879383i | \(0.657955\pi\) | |||||||
\(24\) | 0.707107 | − | 0.707107i | 0.144338 | − | 0.144338i | ||||
\(25\) | 2.75103 | + | 1.58831i | 0.550206 | + | 0.317662i | ||||
\(26\) | −2.18547 | − | 2.86771i | −0.428605 | − | 0.562403i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −0.733815 | − | 2.54195i | −0.138678 | − | 0.480384i | ||||
\(29\) | 3.07741 | + | 5.33023i | 0.571461 | + | 0.989799i | 0.996416 | + | 0.0845847i | \(0.0269564\pi\) |
−0.424956 | + | 0.905214i | \(0.639710\pi\) | |||||||
\(30\) | − | 1.35033i | − | 0.246535i | ||||||
\(31\) | −0.421196 | + | 0.112859i | −0.0756491 | + | 0.0202701i | −0.296445 | − | 0.955050i | \(-0.595801\pi\) |
0.220796 | + | 0.975320i | \(0.429135\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −1.88349 | + | 1.88349i | −0.327873 | + | 0.327873i | ||||
\(34\) | 3.70903 | − | 3.70903i | 0.636093 | − | 0.636093i | ||||
\(35\) | −3.12779 | − | 1.72645i | −0.528692 | − | 0.291824i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | −2.65927 | + | 0.712550i | −0.437182 | + | 0.117143i | −0.470695 | − | 0.882296i | \(-0.655997\pi\) |
0.0335136 | + | 0.999438i | \(0.489330\pi\) | |||||||
\(38\) | 3.45229 | − | 5.97954i | 0.560035 | − | 0.970009i | ||||
\(39\) | −1.36878 | − | 3.33563i | −0.219181 | − | 0.534128i | ||||
\(40\) | −1.16942 | + | 0.675164i | −0.184901 | + | 0.106753i | ||||
\(41\) | 2.81615 | − | 10.5100i | 0.439808 | − | 1.64139i | −0.289483 | − | 0.957183i | \(-0.593483\pi\) |
0.729291 | − | 0.684203i | \(-0.239850\pi\) | |||||||
\(42\) | −0.0509058 | − | 2.64526i | −0.00785493 | − | 0.408173i | ||||
\(43\) | 6.74810 | + | 3.89602i | 1.02908 | + | 0.594137i | 0.916720 | − | 0.399531i | \(-0.130827\pi\) |
0.112356 | + | 0.993668i | \(0.464160\pi\) | |||||||
\(44\) | 2.57289 | + | 0.689405i | 0.387878 | + | 0.103932i | ||||
\(45\) | 0.349490 | − | 1.30432i | 0.0520990 | − | 0.194436i | ||||
\(46\) | 0.0679332 | − | 0.253530i | 0.0100162 | − | 0.0373810i | ||||
\(47\) | −5.55179 | − | 1.48760i | −0.809812 | − | 0.216988i | −0.169924 | − | 0.985457i | \(-0.554352\pi\) |
−0.639887 | + | 0.768469i | \(0.721019\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | −6.19235 | − | 3.26417i | −0.884621 | − | 0.466310i | ||||
\(50\) | 0.822169 | − | 3.06837i | 0.116272 | − | 0.433934i | ||||
\(51\) | 4.54261 | − | 2.62268i | 0.636093 | − | 0.367248i | ||||
\(52\) | −2.20435 | + | 2.85322i | −0.305688 | + | 0.395670i | ||||
\(53\) | 0.878238 | − | 1.52115i | 0.120635 | − | 0.208946i | −0.799383 | − | 0.600822i | \(-0.794840\pi\) |
0.920018 | + | 0.391875i | \(0.128174\pi\) | |||||||
\(54\) | 0.965926 | − | 0.258819i | 0.131446 | − | 0.0352208i | ||||
\(55\) | 3.11493 | − | 1.79840i | 0.420017 | − | 0.242497i | ||||
\(56\) | −2.26541 | + | 1.36672i | −0.302728 | + | 0.182635i | ||||
\(57\) | 4.88227 | − | 4.88227i | 0.646673 | − | 0.646673i | ||||
\(58\) | 4.35211 | − | 4.35211i | 0.571461 | − | 0.571461i | ||||
\(59\) | −8.31990 | − | 2.22931i | −1.08316 | − | 0.290232i | −0.327270 | − | 0.944931i | \(-0.606128\pi\) |
−0.755889 | + | 0.654700i | \(0.772795\pi\) | |||||||
\(60\) | −1.30432 | + | 0.349490i | −0.168387 | + | 0.0451190i | ||||
\(61\) | 8.80035i | 1.12677i | 0.826195 | + | 0.563385i | \(0.190501\pi\) | ||||
−0.826195 | + | 0.563385i | \(0.809499\pi\) | |||||||
\(62\) | 0.218027 | + | 0.377634i | 0.0276895 | + | 0.0479596i | ||||
\(63\) | 0.635473 | − | 2.56830i | 0.0800621 | − | 0.323576i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 0.619553 | + | 4.82909i | 0.0768461 | + | 0.598975i | ||||
\(66\) | 2.30679 | + | 1.33183i | 0.283947 | + | 0.163937i | ||||
\(67\) | −7.32433 | + | 7.32433i | −0.894809 | + | 0.894809i | −0.994971 | − | 0.100162i | \(-0.968064\pi\) |
0.100162 | + | 0.994971i | \(0.468064\pi\) | |||||||
\(68\) | −4.54261 | − | 2.62268i | −0.550872 | − | 0.318046i | ||||
\(69\) | 0.131237 | − | 0.227309i | 0.0157991 | − | 0.0273648i | ||||
\(70\) | −0.858097 | + | 3.46805i | −0.102562 | + | 0.414511i | ||||
\(71\) | 1.08417 | + | 4.04618i | 0.128667 | + | 0.480193i | 0.999944 | − | 0.0105994i | \(-0.00337396\pi\) |
−0.871276 | + | 0.490793i | \(0.836707\pi\) | |||||||
\(72\) | −0.707107 | − | 0.707107i | −0.0833333 | − | 0.0833333i | ||||
\(73\) | 1.30486 | + | 4.86981i | 0.152723 | + | 0.569968i | 0.999290 | + | 0.0376862i | \(0.0119987\pi\) |
−0.846567 | + | 0.532282i | \(0.821335\pi\) | |||||||
\(74\) | 1.37654 | + | 2.38424i | 0.160020 | + | 0.277162i | ||||
\(75\) | 1.58831 | − | 2.75103i | 0.183402 | − | 0.317662i | ||||
\(76\) | −6.66931 | − | 1.78704i | −0.765022 | − | 0.204987i | ||||
\(77\) | 6.03427 | − | 3.64046i | 0.687669 | − | 0.414869i | ||||
\(78\) | −2.86771 | + | 2.18547i | −0.324704 | + | 0.247455i | ||||
\(79\) | 3.12948 | + | 5.42042i | 0.352094 | + | 0.609845i | 0.986616 | − | 0.163060i | \(-0.0521364\pi\) |
−0.634522 | + | 0.772905i | \(0.718803\pi\) | |||||||
\(80\) | 0.954826 | + | 0.954826i | 0.106753 | + | 0.106753i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −10.8808 | −1.20158 | ||||||||
\(83\) | −9.32218 | − | 9.32218i | −1.02324 | − | 1.02324i | −0.999723 | − | 0.0235188i | \(-0.992513\pi\) |
−0.0235188 | − | 0.999723i | \(-0.507487\pi\) | |||||||
\(84\) | −2.54195 | + | 0.733815i | −0.277350 | + | 0.0800658i | ||||
\(85\) | −6.84160 | + | 1.83320i | −0.742076 | + | 0.198839i | ||||
\(86\) | 2.01673 | − | 7.52653i | 0.217469 | − | 0.811606i | ||||
\(87\) | 5.33023 | − | 3.07741i | 0.571461 | − | 0.329933i | ||||
\(88\) | − | 2.66366i | − | 0.283947i | ||||||
\(89\) | −1.60580 | − | 5.99291i | −0.170214 | − | 0.635247i | −0.997317 | − | 0.0731975i | \(-0.976680\pi\) |
0.827104 | − | 0.562050i | \(-0.189987\pi\) | |||||||
\(90\) | −1.35033 | −0.142337 | ||||||||
\(91\) | 1.39574 | + | 9.43673i | 0.146313 | + | 0.989238i | ||||
\(92\) | −0.262474 | −0.0273648 | ||||||||
\(93\) | 0.112859 | + | 0.421196i | 0.0117030 | + | 0.0436760i | ||||
\(94\) | 5.74764i | 0.592823i | ||||||||
\(95\) | −8.07433 | + | 4.66172i | −0.828409 | + | 0.478282i | ||||
\(96\) | −0.258819 | + | 0.965926i | −0.0264156 | + | 0.0985844i | ||||
\(97\) | 18.5733 | − | 4.97669i | 1.88583 | − | 0.505306i | 0.886757 | − | 0.462236i | \(-0.152953\pi\) |
0.999072 | − | 0.0430700i | \(-0.0137138\pi\) | |||||||
\(98\) | −1.55025 | + | 6.82618i | −0.156599 | + | 0.689548i | ||||
\(99\) | 1.88349 | + | 1.88349i | 0.189298 | + | 0.189298i | ||||
\(100\) | −3.17662 | −0.317662 | ||||||||
\(101\) | 3.12995 | 0.311441 | 0.155721 | − | 0.987801i | \(-0.450230\pi\) | ||||
0.155721 | + | 0.987801i | \(0.450230\pi\) | |||||||
\(102\) | −3.70903 | − | 3.70903i | −0.367248 | − | 0.367248i | ||||
\(103\) | −5.32608 | − | 9.22505i | −0.524795 | − | 0.908971i | −0.999583 | − | 0.0288710i | \(-0.990809\pi\) |
0.474789 | − | 0.880100i | \(-0.342525\pi\) | |||||||
\(104\) | 3.32652 | + | 1.39077i | 0.326192 | + | 0.136376i | ||||
\(105\) | −1.72645 | + | 3.12779i | −0.168485 | + | 0.305241i | ||||
\(106\) | −1.69662 | − | 0.454609i | −0.164791 | − | 0.0441556i | ||||
\(107\) | −4.50743 | + | 7.80711i | −0.435750 | + | 0.754741i | −0.997357 | − | 0.0726632i | \(-0.976850\pi\) |
0.561606 | + | 0.827405i | \(0.310184\pi\) | |||||||
\(108\) | −0.500000 | − | 0.866025i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | 3.23079 | + | 12.0575i | 0.309453 | + | 1.15490i | 0.929044 | + | 0.369970i | \(0.120632\pi\) |
−0.619590 | + | 0.784925i | \(0.712701\pi\) | |||||||
\(110\) | −2.54333 | − | 2.54333i | −0.242497 | − | 0.242497i | ||||
\(111\) | 0.712550 | + | 2.65927i | 0.0676323 | + | 0.252407i | ||||
\(112\) | 1.90648 | + | 1.83449i | 0.180145 | + | 0.173343i | ||||
\(113\) | −0.0386809 | + | 0.0669973i | −0.00363879 | + | 0.00630257i | −0.867839 | − | 0.496845i | \(-0.834492\pi\) |
0.864200 | + | 0.503148i | \(0.167825\pi\) | |||||||
\(114\) | −5.97954 | − | 3.45229i | −0.560035 | − | 0.323336i | ||||
\(115\) | −0.250617 | + | 0.250617i | −0.0233701 | + | 0.0233701i | ||||
\(116\) | −5.33023 | − | 3.07741i | −0.494899 | − | 0.285730i | ||||
\(117\) | −3.33563 | + | 1.36878i | −0.308379 | + | 0.126544i | ||||
\(118\) | 8.61339i | 0.792927i | ||||||||
\(119\) | −13.3334 | + | 3.84912i | −1.22227 | + | 0.352848i | ||||
\(120\) | 0.675164 | + | 1.16942i | 0.0616337 | + | 0.106753i | ||||
\(121\) | − | 3.90494i | − | 0.354994i | ||||||
\(122\) | 8.50048 | − | 2.27770i | 0.769598 | − | 0.206213i | ||||
\(123\) | −10.5100 | − | 2.81615i | −0.947655 | − | 0.253923i | ||||
\(124\) | 0.308337 | − | 0.308337i | 0.0276895 | − | 0.0276895i | ||||
\(125\) | −7.80724 | + | 7.80724i | −0.698301 | + | 0.698301i | ||||
\(126\) | −2.64526 | + | 0.0509058i | −0.235659 | + | 0.00453504i | ||||
\(127\) | 12.3722 | − | 7.14308i | 1.09785 | − | 0.633846i | 0.162197 | − | 0.986758i | \(-0.448142\pi\) |
0.935656 | + | 0.352913i | \(0.114809\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | 3.89602 | − | 6.74810i | 0.343025 | − | 0.594137i | ||||
\(130\) | 4.50419 | − | 1.84830i | 0.395044 | − | 0.162107i | ||||
\(131\) | 10.4094 | − | 6.00988i | 0.909475 | − | 0.525086i | 0.0292128 | − | 0.999573i | \(-0.490700\pi\) |
0.880262 | + | 0.474488i | \(0.157367\pi\) | |||||||
\(132\) | 0.689405 | − | 2.57289i | 0.0600050 | − | 0.223942i | ||||
\(133\) | −15.6417 | + | 9.43660i | −1.35631 | + | 0.818257i | ||||
\(134\) | 8.97043 | + | 5.17908i | 0.774928 | + | 0.447405i | ||||
\(135\) | −1.30432 | − | 0.349490i | −0.112258 | − | 0.0300794i | ||||
\(136\) | −1.35760 | + | 5.06662i | −0.116413 | + | 0.434459i | ||||
\(137\) | −0.827900 | + | 3.08976i | −0.0707323 | + | 0.263976i | −0.992232 | − | 0.124403i | \(-0.960298\pi\) |
0.921499 | + | 0.388380i | \(0.126965\pi\) | |||||||
\(138\) | −0.253530 | − | 0.0679332i | −0.0215819 | − | 0.00578286i | ||||
\(139\) | −5.23898 | − | 3.02473i | −0.444365 | − | 0.256554i | 0.261083 | − | 0.965316i | \(-0.415921\pi\) |
−0.705447 | + | 0.708762i | \(0.749254\pi\) | |||||||
\(140\) | 3.57197 | − | 0.0687394i | 0.301887 | − | 0.00580954i | ||||
\(141\) | −1.48760 | + | 5.55179i | −0.125278 | + | 0.467545i | ||||
\(142\) | 3.62770 | − | 2.09446i | 0.304430 | − | 0.175763i | ||||
\(143\) | −8.86071 | − | 3.70454i | −0.740970 | − | 0.309789i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −8.02783 | + | 2.15105i | −0.666675 | + | 0.178635i | ||||
\(146\) | 4.36615 | − | 2.52080i | 0.361345 | − | 0.208623i | ||||
\(147\) | −3.26417 | + | 6.19235i | −0.269224 | + | 0.510736i | ||||
\(148\) | 1.94672 | − | 1.94672i | 0.160020 | − | 0.160020i | ||||
\(149\) | −1.94298 | + | 1.94298i | −0.159175 | + | 0.159175i | −0.782201 | − | 0.623026i | \(-0.785903\pi\) |
0.623026 | + | 0.782201i | \(0.285903\pi\) | |||||||
\(150\) | −3.06837 | − | 0.822169i | −0.250532 | − | 0.0671298i | ||||
\(151\) | −12.1411 | + | 3.25321i | −0.988032 | + | 0.264742i | −0.716424 | − | 0.697665i | \(-0.754222\pi\) |
−0.271608 | + | 0.962408i | \(0.587556\pi\) | |||||||
\(152\) | 6.90457i | 0.560035i | ||||||||
\(153\) | −2.62268 | − | 4.54261i | −0.212031 | − | 0.367248i | ||||
\(154\) | −5.07820 | − | 4.88644i | −0.409213 | − | 0.393761i | ||||
\(155\) | − | 0.588817i | − | 0.0472949i | ||||||
\(156\) | 2.85322 | + | 2.20435i | 0.228440 | + | 0.176489i | ||||
\(157\) | −4.58939 | − | 2.64969i | −0.366273 | − | 0.211468i | 0.305556 | − | 0.952174i | \(-0.401158\pi\) |
−0.671829 | + | 0.740706i | \(0.734491\pi\) | |||||||
\(158\) | 4.42575 | − | 4.42575i | 0.352094 | − | 0.352094i | ||||
\(159\) | −1.52115 | − | 0.878238i | −0.120635 | − | 0.0696488i | ||||
\(160\) | 0.675164 | − | 1.16942i | 0.0533764 | − | 0.0924506i | ||||
\(161\) | −0.481505 | + | 0.500401i | −0.0379479 | + | 0.0394371i | ||||
\(162\) | −0.258819 | − | 0.965926i | −0.0203347 | − | 0.0758903i | ||||
\(163\) | −17.4577 | − | 17.4577i | −1.36739 | − | 1.36739i | −0.864140 | − | 0.503251i | \(-0.832137\pi\) |
−0.503251 | − | 0.864140i | \(-0.667863\pi\) | |||||||
\(164\) | 2.81615 | + | 10.5100i | 0.219904 | + | 0.820693i | ||||
\(165\) | −1.79840 | − | 3.11493i | −0.140006 | − | 0.242497i | ||||
\(166\) | −6.59178 | + | 11.4173i | −0.511621 | + | 0.886154i | ||||
\(167\) | 23.6159 | + | 6.32787i | 1.82745 | + | 0.489665i | 0.997658 | − | 0.0684012i | \(-0.0217898\pi\) |
0.829796 | + | 0.558066i | \(0.188456\pi\) | |||||||
\(168\) | 1.36672 | + | 2.26541i | 0.105444 | + | 0.174780i | ||||
\(169\) | 9.25287 | − | 9.13150i | 0.711759 | − | 0.702423i | ||||
\(170\) | 3.54147 | + | 6.13401i | 0.271619 | + | 0.470457i | ||||
\(171\) | −4.88227 | − | 4.88227i | −0.373357 | − | 0.373357i | ||||
\(172\) | −7.79203 | −0.594137 | ||||||||
\(173\) | 0.338105 | 0.0257057 | 0.0128528 | − | 0.999917i | \(-0.495909\pi\) | ||||
0.0128528 | + | 0.999917i | \(0.495909\pi\) | |||||||
\(174\) | −4.35211 | − | 4.35211i | −0.329933 | − | 0.329933i | ||||
\(175\) | −5.82746 | + | 6.05615i | −0.440514 | + | 0.457802i | ||||
\(176\) | −2.57289 | + | 0.689405i | −0.193939 | + | 0.0519658i | ||||
\(177\) | −2.22931 | + | 8.31990i | −0.167565 | + | 0.625362i | ||||
\(178\) | −5.37310 | + | 3.10216i | −0.402731 | + | 0.232517i | ||||
\(179\) | − | 5.55247i | − | 0.415011i | −0.978234 | − | 0.207506i | \(-0.933465\pi\) | ||
0.978234 | − | 0.207506i | \(-0.0665345\pi\) | |||||||
\(180\) | 0.349490 | + | 1.30432i | 0.0260495 | + | 0.0972180i | ||||
\(181\) | 8.08476 | 0.600935 | 0.300468 | − | 0.953792i | \(-0.402857\pi\) | ||||
0.300468 | + | 0.953792i | \(0.402857\pi\) | |||||||
\(182\) | 8.75394 | − | 3.79059i | 0.648885 | − | 0.280977i | ||||
\(183\) | 8.80035 | 0.650541 | ||||||||
\(184\) | 0.0679332 | + | 0.253530i | 0.00500810 | + | 0.0186905i | ||||
\(185\) | − | 3.71756i | − | 0.273321i | ||||||
\(186\) | 0.377634 | − | 0.218027i | 0.0276895 | − | 0.0159865i | ||||
\(187\) | 3.61617 | − | 13.4957i | 0.264441 | − | 0.986906i | ||||
\(188\) | 5.55179 | − | 1.48760i | 0.404906 | − | 0.108494i | ||||
\(189\) | −2.56830 | − | 0.635473i | −0.186816 | − | 0.0462239i | ||||
\(190\) | 6.59267 | + | 6.59267i | 0.478282 | + | 0.478282i | ||||
\(191\) | −13.3692 | −0.967361 | −0.483681 | − | 0.875245i | \(-0.660700\pi\) | ||||
−0.483681 | + | 0.875245i | \(0.660700\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | 6.68495 | + | 6.68495i | 0.481193 | + | 0.481193i | 0.905513 | − | 0.424320i | \(-0.139487\pi\) |
−0.424320 | + | 0.905513i | \(0.639487\pi\) | |||||||
\(194\) | −9.61423 | − | 16.6523i | −0.690261 | − | 1.19557i | ||||
\(195\) | 4.82909 | − | 0.619553i | 0.345819 | − | 0.0443671i | ||||
\(196\) | 6.99482 | − | 0.269318i | 0.499630 | − | 0.0192370i | ||||
\(197\) | 11.1496 | + | 2.98754i | 0.794379 | + | 0.212853i | 0.633115 | − | 0.774058i | \(-0.281776\pi\) |
0.161265 | + | 0.986911i | \(0.448443\pi\) | |||||||
\(198\) | 1.33183 | − | 2.30679i | 0.0946489 | − | 0.163937i | ||||
\(199\) | −1.12695 | − | 1.95194i | −0.0798877 | − | 0.138369i | 0.823314 | − | 0.567587i | \(-0.192123\pi\) |
−0.903201 | + | 0.429217i | \(0.858789\pi\) | |||||||
\(200\) | 0.822169 | + | 3.06837i | 0.0581361 | + | 0.216967i | ||||
\(201\) | 7.32433 | + | 7.32433i | 0.516618 | + | 0.516618i | ||||
\(202\) | −0.810090 | − | 3.02330i | −0.0569977 | − | 0.212718i | ||||
\(203\) | −15.6453 | + | 4.51650i | −1.09808 | + | 0.316996i | ||||
\(204\) | −2.62268 | + | 4.54261i | −0.183624 | + | 0.318046i | ||||
\(205\) | 12.7242 | + | 7.34629i | 0.888693 | + | 0.513087i | ||||
\(206\) | −7.53222 | + | 7.53222i | −0.524795 | + | 0.524795i | ||||
\(207\) | −0.227309 | − | 0.131237i | −0.0157991 | − | 0.00912160i | ||||
\(208\) | 0.482416 | − | 3.57313i | 0.0334495 | − | 0.247752i | ||||
\(209\) | − | 18.3914i | − | 1.27216i | ||||||
\(210\) | 3.46805 | + | 0.858097i | 0.239318 | + | 0.0592143i | ||||
\(211\) | −11.1990 | − | 19.3972i | −0.770968 | − | 1.33536i | −0.937033 | − | 0.349241i | \(-0.886439\pi\) |
0.166065 | − | 0.986115i | \(-0.446894\pi\) | |||||||
\(212\) | 1.75648i | 0.120635i | ||||||||
\(213\) | 4.04618 | − | 1.08417i | 0.277240 | − | 0.0742861i | ||||
\(214\) | 8.70769 | + | 2.33322i | 0.595246 | + | 0.159496i | ||||
\(215\) | −7.44004 | + | 7.44004i | −0.507406 | + | 0.507406i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | −0.0221977 | − | 1.15348i | −0.00150688 | − | 0.0783032i | ||||
\(218\) | 10.8104 | − | 6.24140i | 0.732174 | − | 0.422721i | ||||
\(219\) | 4.86981 | − | 1.30486i | 0.329071 | − | 0.0881744i | ||||
\(220\) | −1.79840 | + | 3.11493i | −0.121248 | + | 0.210008i | ||||
\(221\) | 14.9661 | + | 11.5626i | 1.00673 | + | 0.777785i | ||||
\(222\) | 2.38424 | − | 1.37654i | 0.160020 | − | 0.0923874i | ||||
\(223\) | 4.52520 | − | 16.8883i | 0.303030 | − | 1.13092i | −0.631598 | − | 0.775296i | \(-0.717601\pi\) |
0.934628 | − | 0.355627i | \(-0.115733\pi\) | |||||||
\(224\) | 1.27855 | − | 2.31632i | 0.0854264 | − | 0.154765i | ||||
\(225\) | −2.75103 | − | 1.58831i | −0.183402 | − | 0.105887i | ||||
\(226\) | 0.0747257 | + | 0.0200227i | 0.00497068 | + | 0.00133189i | ||||
\(227\) | 6.43187 | − | 24.0041i | 0.426898 | − | 1.59321i | −0.332844 | − | 0.942982i | \(-0.608008\pi\) |
0.759742 | − | 0.650224i | \(-0.225325\pi\) | |||||||
\(228\) | −1.78704 | + | 6.66931i | −0.118349 | + | 0.441686i | ||||
\(229\) | 1.12855 | + | 0.302393i | 0.0745765 | + | 0.0199827i | 0.295914 | − | 0.955214i | \(-0.404376\pi\) |
−0.221338 | + | 0.975197i | \(0.571042\pi\) | |||||||
\(230\) | 0.306942 | + | 0.177213i | 0.0202391 | + | 0.0116851i | ||||
\(231\) | −3.64046 | − | 6.03427i | −0.239525 | − | 0.397026i | ||||
\(232\) | −1.59298 | + | 5.94510i | −0.104585 | + | 0.390315i | ||||
\(233\) | 10.0524 | − | 5.80374i | 0.658553 | − | 0.380216i | −0.133172 | − | 0.991093i | \(-0.542516\pi\) |
0.791725 | + | 0.610877i | \(0.209183\pi\) | |||||||
\(234\) | 2.18547 | + | 2.86771i | 0.142868 | + | 0.187468i | ||||
\(235\) | 3.88060 | − | 6.72139i | 0.253142 | − | 0.438455i | ||||
\(236\) | 8.31990 | − | 2.22931i | 0.541579 | − | 0.145116i | ||||
\(237\) | 5.42042 | − | 3.12948i | 0.352094 | − | 0.203282i | ||||
\(238\) | 7.16891 | + | 11.8829i | 0.464692 | + | 0.770253i | ||||
\(239\) | −18.3896 | + | 18.3896i | −1.18952 | + | 1.18952i | −0.212325 | + | 0.977199i | \(0.568103\pi\) |
−0.977199 | + | 0.212325i | \(0.931897\pi\) | |||||||
\(240\) | 0.954826 | − | 0.954826i | 0.0616337 | − | 0.0616337i | ||||
\(241\) | −28.7576 | − | 7.70558i | −1.85244 | − | 0.496360i | −0.852778 | − | 0.522274i | \(-0.825084\pi\) |
−0.999664 | + | 0.0259137i | \(0.991750\pi\) | |||||||
\(242\) | −3.77188 | + | 1.01067i | −0.242466 | + | 0.0649685i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −4.40017 | − | 7.62133i | −0.281692 | − | 0.487905i | ||||
\(245\) | 6.42168 | − | 6.93598i | 0.410266 | − | 0.443124i | ||||
\(246\) | 10.8808i | 0.693732i | ||||||||
\(247\) | 22.9682 | + | 9.60269i | 1.46143 | + | 0.611005i | ||||
\(248\) | −0.377634 | − | 0.218027i | −0.0239798 | − | 0.0138447i | ||||
\(249\) | −9.32218 | + | 9.32218i | −0.590769 | + | 0.590769i | ||||
\(250\) | 9.56188 | + | 5.52055i | 0.604746 | + | 0.349151i | ||||
\(251\) | −1.09799 | + | 1.90177i | −0.0693042 | + | 0.120038i | −0.898595 | − | 0.438779i | \(-0.855411\pi\) |
0.829291 | + | 0.558817i | \(0.188745\pi\) | |||||||
\(252\) | 0.733815 | + | 2.54195i | 0.0462260 | + | 0.160128i | ||||
\(253\) | −0.180951 | − | 0.675317i | −0.0113763 | − | 0.0424568i | ||||
\(254\) | −10.1018 | − | 10.1018i | −0.633846 | − | 0.633846i | ||||
\(255\) | 1.83320 | + | 6.84160i | 0.114800 | + | 0.428438i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −4.68798 | + | 8.11982i | −0.292428 | + | 0.506501i | −0.974383 | − | 0.224893i | \(-0.927797\pi\) |
0.681955 | + | 0.731394i | \(0.261130\pi\) | |||||||
\(258\) | −7.52653 | − | 2.01673i | −0.468581 | − | 0.125556i | ||||
\(259\) | −0.140148 | − | 7.28262i | −0.00870836 | − | 0.452520i | ||||
\(260\) | −2.95110 | − | 3.87234i | −0.183019 | − | 0.240152i | ||||
\(261\) | −3.07741 | − | 5.33023i | −0.190487 | − | 0.329933i | ||||
\(262\) | −8.49925 | − | 8.49925i | −0.525086 | − | 0.525086i | ||||
\(263\) | 24.7214 | 1.52438 | 0.762192 | − | 0.647351i | \(-0.224123\pi\) | ||||
0.762192 | + | 0.647351i | \(0.224123\pi\) | |||||||
\(264\) | −2.66366 | −0.163937 | ||||||||
\(265\) | 1.67713 | + | 1.67713i | 0.103025 | + | 0.103025i | ||||
\(266\) | 13.1634 | + | 12.6663i | 0.807101 | + | 0.776624i | ||||
\(267\) | −5.99291 | + | 1.60580i | −0.366760 | + | 0.0982731i | ||||
\(268\) | 2.68089 | − | 10.0052i | 0.163761 | − | 0.611166i | ||||
\(269\) | −16.6582 | + | 9.61759i | −1.01567 | + | 0.586395i | −0.912846 | − | 0.408305i | \(-0.866120\pi\) |
−0.102820 | + | 0.994700i | \(0.532787\pi\) | |||||||
\(270\) | 1.35033i | 0.0821783i | ||||||||
\(271\) | −0.225338 | − | 0.840971i | −0.0136883 | − | 0.0510854i | 0.958744 | − | 0.284271i | \(-0.0917516\pi\) |
−0.972432 | + | 0.233186i | \(0.925085\pi\) | |||||||
\(272\) | 5.24536 | 0.318046 | ||||||||
\(273\) | 9.43673 | − | 1.39574i | 0.571137 | − | 0.0844741i | ||||
\(274\) | 3.19876 | 0.193244 | ||||||||
\(275\) | −2.18997 | − | 8.17309i | −0.132060 | − | 0.492856i | ||||
\(276\) | 0.262474i | 0.0157991i | ||||||||
\(277\) | 18.3588 | − | 10.5994i | 1.10307 | − | 0.636859i | 0.166046 | − | 0.986118i | \(-0.446900\pi\) |
0.937026 | + | 0.349259i | \(0.113567\pi\) | |||||||
\(278\) | −1.56571 | + | 5.84333i | −0.0939053 | + | 0.350459i | ||||
\(279\) | 0.421196 | − | 0.112859i | 0.0252164 | − | 0.00675671i | ||||
\(280\) | −0.990891 | − | 3.43247i | −0.0592171 | − | 0.205129i | ||||
\(281\) | 20.7859 | + | 20.7859i | 1.23999 | + | 1.23999i | 0.960006 | + | 0.279980i | \(0.0903278\pi\) |
0.279980 | + | 0.960006i | \(0.409672\pi\) | |||||||
\(282\) | 5.74764 | 0.342267 | ||||||||
\(283\) | 14.1826 | 0.843066 | 0.421533 | − | 0.906813i | \(-0.361492\pi\) | ||||
0.421533 | + | 0.906813i | \(0.361492\pi\) | |||||||
\(284\) | −2.96201 | − | 2.96201i | −0.175763 | − | 0.175763i | ||||
\(285\) | 4.66172 | + | 8.07433i | 0.276136 | + | 0.478282i | ||||
\(286\) | −1.28499 | + | 9.51759i | −0.0759830 | + | 0.562787i | ||||
\(287\) | 25.2033 | + | 13.9115i | 1.48770 | + | 0.821172i | ||||
\(288\) | 0.965926 | + | 0.258819i | 0.0569177 | + | 0.0152511i | ||||
\(289\) | −5.25687 | + | 9.10517i | −0.309228 | + | 0.535598i | ||||
\(290\) | 4.15551 | + | 7.19756i | 0.244020 | + | 0.422655i | ||||
\(291\) | −4.97669 | − | 18.5733i | −0.291739 | − | 1.08878i | ||||
\(292\) | −3.56495 | − | 3.56495i | −0.208623 | − | 0.208623i | ||||
\(293\) | −0.832864 | − | 3.10829i | −0.0486564 | − | 0.181588i | 0.937321 | − | 0.348467i | \(-0.113298\pi\) |
−0.985977 | + | 0.166879i | \(0.946631\pi\) | |||||||
\(294\) | 6.82618 | + | 1.55025i | 0.398111 | + | 0.0904125i | ||||
\(295\) | 5.81545 | − | 10.0727i | 0.338589 | − | 0.586453i | ||||
\(296\) | −2.38424 | − | 1.37654i | −0.138581 | − | 0.0800098i | ||||
\(297\) | 1.88349 | − | 1.88349i | 0.109291 | − | 0.109291i | ||||
\(298\) | 2.37965 | + | 1.37389i | 0.137849 | + | 0.0795874i | ||||
\(299\) | 0.937854 | + | 0.126622i | 0.0542375 | + | 0.00732271i | ||||
\(300\) | 3.17662i | 0.183402i | ||||||||
\(301\) | −14.2944 | + | 14.8553i | −0.823914 | + | 0.856248i | ||||
\(302\) | 6.28472 | + | 10.8855i | 0.361645 | + | 0.626387i | ||||
\(303\) | − | 3.12995i | − | 0.179811i | ||||||
\(304\) | 6.66931 | − | 1.78704i | 0.382511 | − | 0.102494i | ||||
\(305\) | −11.4784 | − | 3.07564i | −0.657253 | − | 0.176111i | ||||
\(306\) | −3.70903 | + | 3.70903i | −0.212031 | + | 0.212031i | ||||
\(307\) | 6.69970 | − | 6.69970i | 0.382372 | − | 0.382372i | −0.489584 | − | 0.871956i | \(-0.662851\pi\) |
0.871956 | + | 0.489584i | \(0.162851\pi\) | |||||||
\(308\) | −3.40560 | + | 6.16987i | −0.194052 | + | 0.351561i | ||||
\(309\) | −9.22505 | + | 5.32608i | −0.524795 | + | 0.302990i | ||||
\(310\) | −0.568753 | + | 0.152397i | −0.0323030 | + | 0.00865556i | ||||
\(311\) | 16.2316 | − | 28.1140i | 0.920411 | − | 1.59420i | 0.121631 | − | 0.992575i | \(-0.461187\pi\) |
0.798780 | − | 0.601624i | \(-0.205479\pi\) | |||||||
\(312\) | 1.39077 | − | 3.32652i | 0.0787370 | − | 0.188327i | ||||
\(313\) | 17.6916 | − | 10.2143i | 0.999989 | − | 0.577344i | 0.0917443 | − | 0.995783i | \(-0.470756\pi\) |
0.908245 | + | 0.418438i | \(0.137422\pi\) | |||||||
\(314\) | −1.37158 | + | 5.11880i | −0.0774026 | + | 0.288871i | ||||
\(315\) | 3.12779 | + | 1.72645i | 0.176231 | + | 0.0972747i | ||||
\(316\) | −5.42042 | − | 3.12948i | −0.304922 | − | 0.176047i | ||||
\(317\) | −3.52424 | − | 0.944317i | −0.197941 | − | 0.0530381i | 0.158486 | − | 0.987361i | \(-0.449339\pi\) |
−0.356427 | + | 0.934323i | \(0.616005\pi\) | |||||||
\(318\) | −0.454609 | + | 1.69662i | −0.0254932 | + | 0.0951420i | ||||
\(319\) | 4.24316 | − | 15.8357i | 0.237571 | − | 0.886629i | ||||
\(320\) | −1.30432 | − | 0.349490i | −0.0729135 | − | 0.0195371i | ||||
\(321\) | 7.80711 | + | 4.50743i | 0.435750 | + | 0.251580i | ||||
\(322\) | 0.607973 | + | 0.335585i | 0.0338810 | + | 0.0187014i | ||||
\(323\) | −9.37364 | + | 34.9829i | −0.521563 | + | 1.94650i | ||||
\(324\) | −0.866025 | + | 0.500000i | −0.0481125 | + | 0.0277778i | ||||
\(325\) | 11.3505 | + | 1.53245i | 0.629611 | + | 0.0850050i | ||||
\(326\) | −12.3444 | + | 21.3812i | −0.683696 | + | 1.18420i | ||||
\(327\) | 12.0575 | − | 3.23079i | 0.666779 | − | 0.178663i | ||||
\(328\) | 9.42301 | − | 5.44038i | 0.520299 | − | 0.300395i | ||||
\(329\) | 7.34861 | − | 13.3133i | 0.405142 | − | 0.733988i | ||||
\(330\) | −2.54333 | + | 2.54333i | −0.140006 | + | 0.140006i | ||||
\(331\) | 1.60022 | − | 1.60022i | 0.0879562 | − | 0.0879562i | −0.661760 | − | 0.749716i | \(-0.730190\pi\) |
0.749716 | + | 0.661760i | \(0.230190\pi\) | |||||||
\(332\) | 12.7343 | + | 3.41215i | 0.698887 | + | 0.187266i | ||||
\(333\) | 2.65927 | − | 0.712550i | 0.145727 | − | 0.0390475i | ||||
\(334\) | − | 24.4490i | − | 1.33779i | ||||||
\(335\) | −6.99346 | − | 12.1130i | −0.382093 | − | 0.661805i | ||||
\(336\) | 1.83449 | − | 1.90648i | 0.100079 | − | 0.104007i | ||||
\(337\) | − | 17.8521i | − | 0.972466i | −0.873829 | − | 0.486233i | \(-0.838371\pi\) | ||
0.873829 | − | 0.486233i | \(-0.161629\pi\) | |||||||
\(338\) | −11.2152 | − | 6.57418i | −0.610025 | − | 0.357588i | ||||
\(339\) | 0.0669973 | + | 0.0386809i | 0.00363879 | + | 0.00210086i | ||||
\(340\) | 5.00840 | − | 5.00840i | 0.271619 | − | 0.271619i | ||||
\(341\) | 1.00589 | + | 0.580750i | 0.0544719 | + | 0.0314494i | ||||
\(342\) | −3.45229 | + | 5.97954i | −0.186678 | + | 0.323336i | ||||
\(343\) | 12.3184 | − | 13.8295i | 0.665134 | − | 0.746724i | ||||
\(344\) | 2.01673 | + | 7.52653i | 0.108735 | + | 0.405803i | ||||
\(345\) | 0.250617 | + | 0.250617i | 0.0134928 | + | 0.0134928i | ||||
\(346\) | −0.0875081 | − | 0.326585i | −0.00470446 | − | 0.0175573i | ||||
\(347\) | −7.84855 | − | 13.5941i | −0.421332 | − | 0.729769i | 0.574738 | − | 0.818338i | \(-0.305104\pi\) |
−0.996070 | + | 0.0885688i | \(0.971771\pi\) | |||||||
\(348\) | −3.07741 | + | 5.33023i | −0.164966 | + | 0.285730i | ||||
\(349\) | −28.8777 | − | 7.73776i | −1.54579 | − | 0.414193i | −0.617658 | − | 0.786447i | \(-0.711918\pi\) |
−0.928131 | + | 0.372254i | \(0.878585\pi\) | |||||||
\(350\) | 7.35805 | + | 4.06145i | 0.393304 | + | 0.217093i | ||||
\(351\) | 1.36878 | + | 3.33563i | 0.0730602 | + | 0.178043i | ||||
\(352\) | 1.33183 | + | 2.30679i | 0.0709867 | + | 0.122952i | ||||
\(353\) | −19.0087 | − | 19.0087i | −1.01173 | − | 1.01173i | −0.999930 | − | 0.0118026i | \(-0.996243\pi\) |
−0.0118026 | − | 0.999930i | \(-0.503757\pi\) | |||||||
\(354\) | 8.61339 | 0.457797 | ||||||||
\(355\) | −5.65640 | −0.300211 | ||||||||
\(356\) | 4.38711 | + | 4.38711i | 0.232517 | + | 0.232517i | ||||
\(357\) | 3.84912 | + | 13.3334i | 0.203717 | + | 0.705680i | ||||
\(358\) | −5.36328 | + | 1.43709i | −0.283458 | + | 0.0759523i | ||||
\(359\) | −7.94019 | + | 29.6332i | −0.419067 | + | 1.56398i | 0.357480 | + | 0.933921i | \(0.383636\pi\) |
−0.776547 | + | 0.630059i | \(0.783031\pi\) | |||||||
\(360\) | 1.16942 | − | 0.675164i | 0.0616337 | − | 0.0355843i | ||||
\(361\) | 28.6732i | 1.50911i | ||||||||
\(362\) | −2.09249 | − | 7.80927i | −0.109979 | − | 0.410446i | ||||
\(363\) | −3.90494 | −0.204956 | ||||||||
\(364\) | −5.92711 | − | 7.47458i | −0.310665 | − | 0.391774i | ||||
\(365\) | −6.80781 | −0.356337 | ||||||||
\(366\) | −2.27770 | − | 8.50048i | −0.119057 | − | 0.444327i | ||||
\(367\) | 15.0537i | 0.785798i | 0.919582 | + | 0.392899i | \(0.128528\pi\) | ||||
−0.919582 | + | 0.392899i | \(0.871472\pi\) | |||||||
\(368\) | 0.227309 | − | 0.131237i | 0.0118493 | − | 0.00684120i | ||||
\(369\) | −2.81615 | + | 10.5100i | −0.146603 | + | 0.547129i | ||||
\(370\) | −3.59089 | + | 0.962176i | −0.186681 | + | 0.0500212i | ||||
\(371\) | 3.34868 | + | 3.22223i | 0.173855 | + | 0.167290i | ||||
\(372\) | −0.308337 | − | 0.308337i | −0.0159865 | − | 0.0159865i | ||||
\(373\) | 10.6343 | 0.550623 | 0.275311 | − | 0.961355i | \(-0.411219\pi\) | ||||
0.275311 | + | 0.961355i | \(0.411219\pi\) | |||||||
\(374\) | −13.9718 | −0.722466 | ||||||||
\(375\) | 7.80724 | + | 7.80724i | 0.403164 | + | 0.403164i | ||||
\(376\) | −2.87382 | − | 4.97760i | −0.148206 | − | 0.256700i | ||||
\(377\) | 17.5610 | + | 13.5674i | 0.904439 | + | 0.698756i | ||||
\(378\) | 0.0509058 | + | 2.64526i | 0.00261831 | + | 0.136058i | ||||
\(379\) | 1.39615 | + | 0.374098i | 0.0717156 | + | 0.0192161i | 0.294498 | − | 0.955652i | \(-0.404847\pi\) |
−0.222783 | + | 0.974868i | \(0.571514\pi\) | |||||||
\(380\) | 4.66172 | − | 8.07433i | 0.239141 | − | 0.414205i | ||||
\(381\) | −7.14308 | − | 12.3722i | −0.365951 | − | 0.633846i | ||||
\(382\) | 3.46020 | + | 12.9137i | 0.177039 | + | 0.660720i | ||||
\(383\) | −18.4382 | − | 18.4382i | −0.942150 | − | 0.942150i | 0.0562656 | − | 0.998416i | \(-0.482081\pi\) |
−0.998416 | + | 0.0562656i | \(0.982081\pi\) | |||||||
\(384\) | −0.258819 | − | 0.965926i | −0.0132078 | − | 0.0492922i | ||||
\(385\) | 2.63939 | + | 9.14291i | 0.134516 | + | 0.465966i | ||||
\(386\) | 4.72697 | − | 8.18735i | 0.240596 | − | 0.416725i | ||||
\(387\) | −6.74810 | − | 3.89602i | −0.343025 | − | 0.198046i | ||||
\(388\) | −13.5966 | + | 13.5966i | −0.690261 | + | 0.690261i | ||||
\(389\) | −4.97819 | − | 2.87416i | −0.252404 | − | 0.145726i | 0.368460 | − | 0.929643i | \(-0.379885\pi\) |
−0.620865 | + | 0.783918i | \(0.713218\pi\) | |||||||
\(390\) | −1.84830 | − | 4.50419i | −0.0935925 | − | 0.228079i | ||||
\(391\) | 1.37677i | 0.0696262i | ||||||||
\(392\) | −2.07053 | − | 6.68677i | −0.104578 | − | 0.337733i | ||||
\(393\) | −6.00988 | − | 10.4094i | −0.303158 | − | 0.525086i | ||||
\(394\) | − | 11.5430i | − | 0.581526i | ||||||
\(395\) | −8.16367 | + | 2.18745i | −0.410759 | + | 0.110062i | ||||
\(396\) | −2.57289 | − | 0.689405i | −0.129293 | − | 0.0346439i | ||||
\(397\) | 11.1373 | − | 11.1373i | 0.558963 | − | 0.558963i | −0.370049 | − | 0.929012i | \(-0.620659\pi\) |
0.929012 | + | 0.370049i | \(0.120659\pi\) | |||||||
\(398\) | −1.59375 | + | 1.59375i | −0.0798877 | + | 0.0798877i | ||||
\(399\) | 9.43660 | + | 15.6417i | 0.472421 | + | 0.783064i | ||||
\(400\) | 2.75103 | − | 1.58831i | 0.137551 | − | 0.0794154i | ||||
\(401\) | −18.4605 | + | 4.94647i | −0.921872 | + | 0.247015i | −0.688385 | − | 0.725345i | \(-0.741680\pi\) |
−0.233487 | + | 0.972360i | \(0.575013\pi\) | |||||||
\(402\) | 5.17908 | − | 8.97043i | 0.258309 | − | 0.447405i | ||||
\(403\) | −1.25048 | + | 0.952983i | −0.0622907 | + | 0.0474715i | ||||
\(404\) | −2.71061 | + | 1.56497i | −0.134858 | + | 0.0778603i | ||||
\(405\) | −0.349490 | + | 1.30432i | −0.0173663 | + | 0.0648120i | ||||
\(406\) | 8.41189 | + | 13.9432i | 0.417475 | + | 0.691989i | ||||
\(407\) | 6.35079 | + | 3.66663i | 0.314797 | + | 0.181748i | ||||
\(408\) | 5.06662 | + | 1.35760i | 0.250835 | + | 0.0672111i | ||||
\(409\) | 4.63971 | − | 17.3156i | 0.229419 | − | 0.856203i | −0.751167 | − | 0.660113i | \(-0.770509\pi\) |
0.980586 | − | 0.196091i | \(-0.0628248\pi\) | |||||||
\(410\) | 3.80272 | − | 14.1919i | 0.187803 | − | 0.700890i | ||||
\(411\) | 3.08976 | + | 0.827900i | 0.152407 | + | 0.0408373i | ||||
\(412\) | 9.22505 | + | 5.32608i | 0.454485 | + | 0.262397i | ||||
\(413\) | 11.0126 | − | 19.9513i | 0.541895 | − | 0.981742i | ||||
\(414\) | −0.0679332 | + | 0.253530i | −0.00333874 | + | 0.0124603i | ||||
\(415\) | 15.4171 | − | 8.90106i | 0.756795 | − | 0.436936i | ||||
\(416\) | −3.57624 | + | 0.458817i | −0.175340 | + | 0.0224953i | ||||
\(417\) | −3.02473 | + | 5.23898i | −0.148122 | + | 0.256554i | ||||
\(418\) | −17.7647 | + | 4.76005i | −0.868902 | + | 0.232821i | ||||
\(419\) | −4.94418 | + | 2.85452i | −0.241539 | + | 0.139452i | −0.615884 | − | 0.787837i | \(-0.711201\pi\) |
0.374345 | + | 0.927290i | \(0.377868\pi\) | |||||||
\(420\) | −0.0687394 | − | 3.57197i | −0.00335414 | − | 0.174294i | ||||
\(421\) | 11.2327 | − | 11.2327i | 0.547449 | − | 0.547449i | −0.378253 | − | 0.925702i | \(-0.623475\pi\) |
0.925702 | + | 0.378253i | \(0.123475\pi\) | |||||||
\(422\) | −15.8377 | + | 15.8377i | −0.770968 | + | 0.770968i | ||||
\(423\) | 5.55179 | + | 1.48760i | 0.269937 | + | 0.0723295i | ||||
\(424\) | 1.69662 | − | 0.454609i | 0.0823954 | − | 0.0220778i | ||||
\(425\) | 16.6625i | 0.808249i | ||||||||
\(426\) | −2.09446 | − | 3.62770i | −0.101477 | − | 0.175763i | ||||
\(427\) | −22.6020 | − | 5.59238i | −1.09379 | − | 0.270634i | ||||
\(428\) | − | 9.01487i | − | 0.435750i | ||||||
\(429\) | −3.70454 | + | 8.86071i | −0.178857 | + | 0.427799i | ||||
\(430\) | 9.11215 | + | 5.26090i | 0.439427 | + | 0.253703i | ||||
\(431\) | −12.7774 | + | 12.7774i | −0.615467 | + | 0.615467i | −0.944365 | − | 0.328898i | \(-0.893323\pi\) |
0.328898 | + | 0.944365i | \(0.393323\pi\) | |||||||
\(432\) | 0.866025 | + | 0.500000i | 0.0416667 | + | 0.0240563i | ||||
\(433\) | −8.06894 | + | 13.9758i | −0.387768 | + | 0.671635i | −0.992149 | − | 0.125061i | \(-0.960087\pi\) |
0.604381 | + | 0.796696i | \(0.293421\pi\) | |||||||
\(434\) | −1.10843 | + | 0.319983i | −0.0532063 | + | 0.0153597i | ||||
\(435\) | 2.15105 | + | 8.02783i | 0.103135 | + | 0.384905i | ||||
\(436\) | −8.82668 | − | 8.82668i | −0.422721 | − | 0.422721i | ||||
\(437\) | 0.469050 | + | 1.75052i | 0.0224377 | + | 0.0837387i | ||||
\(438\) | −2.52080 | − | 4.36615i | −0.120448 | − | 0.208623i | ||||
\(439\) | −5.21668 | + | 9.03556i | −0.248979 | + | 0.431244i | −0.963243 | − | 0.268633i | \(-0.913428\pi\) |
0.714264 | + | 0.699876i | \(0.246762\pi\) | |||||||
\(440\) | 3.47425 | + | 0.930922i | 0.165628 | + | 0.0443800i | ||||
\(441\) | 6.19235 | + | 3.26417i | 0.294874 | + | 0.155437i | ||||
\(442\) | 7.29510 | − | 17.4488i | 0.346992 | − | 0.829954i | ||||
\(443\) | 0.835906 | + | 1.44783i | 0.0397151 | + | 0.0687885i | 0.885200 | − | 0.465211i | \(-0.154022\pi\) |
−0.845485 | + | 0.534000i | \(0.820688\pi\) | |||||||
\(444\) | −1.94672 | − | 1.94672i | −0.0923874 | − | 0.0923874i | ||||
\(445\) | 8.37786 | 0.397149 | ||||||||
\(446\) | −17.4840 | −0.827893 | ||||||||
\(447\) | 1.94298 | + | 1.94298i | 0.0918996 | + | 0.0918996i | ||||
\(448\) | −2.56830 | − | 0.635473i | −0.121341 | − | 0.0300233i | ||||
\(449\) | −0.795385 | + | 0.213123i | −0.0375366 | + | 0.0100579i | −0.277538 | − | 0.960715i | \(-0.589519\pi\) |
0.240002 | + | 0.970772i | \(0.422852\pi\) | |||||||
\(450\) | −0.822169 | + | 3.06837i | −0.0387574 | + | 0.144645i | ||||
\(451\) | −25.0997 | + | 14.4913i | −1.18190 | + | 0.682368i | ||||
\(452\) | − | 0.0773618i | − | 0.00363879i | ||||||
\(453\) | 3.25321 | + | 12.1411i | 0.152849 | + | 0.570441i | ||||
\(454\) | −24.8508 | −1.16631 | ||||||||
\(455\) | −12.7963 | − | 1.47756i | −0.599899 | − | 0.0692691i | ||||
\(456\) | 6.90457 | 0.323336 | ||||||||
\(457\) | 4.15023 | + | 15.4889i | 0.194139 | + | 0.724538i | 0.992488 | + | 0.122342i | \(0.0390406\pi\) |
−0.798349 | + | 0.602196i | \(0.794293\pi\) | |||||||
\(458\) | − | 1.16836i | − | 0.0545938i | ||||||
\(459\) | −4.54261 | + | 2.62268i | −0.212031 | + | 0.122416i | ||||
\(460\) | 0.0917321 | − | 0.342349i | 0.00427703 | − | 0.0159621i | ||||
\(461\) | −14.6637 | + | 3.92914i | −0.682959 | + | 0.182998i | −0.583585 | − | 0.812052i | \(-0.698351\pi\) |
−0.0993736 | + | 0.995050i | \(0.531684\pi\) | |||||||
\(462\) | −4.88644 | + | 5.07820i | −0.227338 | + | 0.236259i | ||||
\(463\) | −2.81768 | − | 2.81768i | −0.130948 | − | 0.130948i | 0.638595 | − | 0.769543i | \(-0.279516\pi\) |
−0.769543 | + | 0.638595i | \(0.779516\pi\) | |||||||
\(464\) | 6.15482 | 0.285730 | ||||||||
\(465\) | −0.588817 | −0.0273057 | ||||||||
\(466\) | −8.20773 | − | 8.20773i | −0.380216 | − | 0.380216i | ||||
\(467\) | 2.28797 | + | 3.96288i | 0.105875 | + | 0.183380i | 0.914095 | − | 0.405500i | \(-0.132902\pi\) |
−0.808221 | + | 0.588880i | \(0.799569\pi\) | |||||||
\(468\) | 2.20435 | − | 2.85322i | 0.101896 | − | 0.131890i | ||||
\(469\) | −14.1567 | − | 23.4655i | −0.653695 | − | 1.08354i | ||||
\(470\) | −7.49674 | − | 2.00874i | −0.345799 | − | 0.0926565i | ||||
\(471\) | −2.64969 | + | 4.58939i | −0.122091 | + | 0.211468i | ||||
\(472\) | −4.30670 | − | 7.45942i | −0.198232 | − | 0.343348i | ||||
\(473\) | −5.37187 | − | 20.0481i | −0.246999 | − | 0.921811i | ||||
\(474\) | −4.42575 | − | 4.42575i | −0.203282 | − | 0.203282i | ||||
\(475\) | 5.67672 | + | 21.1858i | 0.260466 | + | 0.972072i | ||||
\(476\) | 9.62253 | − | 10.0002i | 0.441048 | − | 0.458356i | ||||
\(477\) | −0.878238 | + | 1.52115i | −0.0402117 | + | 0.0696488i | ||||
\(478\) | 22.5226 | + | 13.0034i | 1.03016 | + | 0.594762i | ||||
\(479\) | 28.9967 | − | 28.9967i | 1.32489 | − | 1.32489i | 0.415128 | − | 0.909763i | \(-0.363737\pi\) |
0.909763 | − | 0.415128i | \(-0.136263\pi\) | |||||||
\(480\) | −1.16942 | − | 0.675164i | −0.0533764 | − | 0.0308169i | ||||
\(481\) | −7.89503 | + | 6.01677i | −0.359982 | + | 0.274341i | ||||
\(482\) | 29.7721i | 1.35608i | ||||||||
\(483\) | 0.500401 | + | 0.481505i | 0.0227690 | + | 0.0219092i | ||||
\(484\) | 1.95247 | + | 3.38178i | 0.0887486 | + | 0.153717i | ||||
\(485\) | 25.9647i | 1.17900i | ||||||||
\(486\) | −0.965926 | + | 0.258819i | −0.0438153 | + | 0.0117403i | ||||
\(487\) | 17.7086 | + | 4.74502i | 0.802456 | + | 0.215017i | 0.636662 | − | 0.771143i | \(-0.280315\pi\) |
0.165794 | + | 0.986160i | \(0.446981\pi\) | |||||||
\(488\) | −6.22279 | + | 6.22279i | −0.281692 | + | 0.281692i | ||||
\(489\) | −17.4577 | + | 17.4577i | −0.789464 | + | 0.789464i | ||||
\(490\) | −8.36170 | − | 4.40770i | −0.377743 | − | 0.199120i | ||||
\(491\) | −20.5605 | + | 11.8706i | −0.927883 | + | 0.535713i | −0.886141 | − | 0.463415i | \(-0.846624\pi\) |
−0.0417413 | + | 0.999128i | \(0.513291\pi\) | |||||||
\(492\) | 10.5100 | − | 2.81615i | 0.473828 | − | 0.126962i | ||||
\(493\) | −16.1421 | + | 27.9590i | −0.727004 | + | 1.25921i | ||||
\(494\) | 3.33088 | − | 24.6710i | 0.149863 | − | 1.11000i | ||||
\(495\) | −3.11493 | + | 1.79840i | −0.140006 | + | 0.0808322i | ||||
\(496\) | −0.112859 | + | 0.421196i | −0.00506753 | + | 0.0189123i | ||||
\(497\) | −11.0808 | + | 0.213240i | −0.497040 | + | 0.00956511i | ||||
\(498\) | 11.4173 | + | 6.59178i | 0.511621 | + | 0.295385i | ||||
\(499\) | −33.5632 | − | 8.99324i | −1.50250 | − | 0.402593i | −0.588562 | − | 0.808452i | \(-0.700306\pi\) |
−0.913935 | + | 0.405859i | \(0.866972\pi\) | |||||||
\(500\) | 2.85765 | − | 10.6649i | 0.127798 | − | 0.476948i | ||||
\(501\) | 6.32787 | − | 23.6159i | 0.282708 | − | 1.05508i | ||||
\(502\) | 2.12114 | + | 0.568359i | 0.0946713 | + | 0.0253671i | ||||
\(503\) | −12.5876 | − | 7.26748i | −0.561256 | − | 0.324041i | 0.192394 | − | 0.981318i | \(-0.438375\pi\) |
−0.753649 | + | 0.657277i | \(0.771708\pi\) | |||||||
\(504\) | 2.26541 | − | 1.36672i | 0.100909 | − | 0.0608784i | ||||
\(505\) | −1.09389 | + | 4.08244i | −0.0486773 | + | 0.181666i | ||||
\(506\) | −0.605473 | + | 0.349570i | −0.0269166 | + | 0.0155403i | ||||
\(507\) | −9.13150 | − | 9.25287i | −0.405544 | − | 0.410935i | ||||
\(508\) | −7.14308 | + | 12.3722i | −0.316923 | + | 0.548927i | ||||
\(509\) | 29.8531 | − | 7.99912i | 1.32322 | − | 0.354555i | 0.473034 | − | 0.881044i | \(-0.343159\pi\) |
0.850182 | + | 0.526489i | \(0.176492\pi\) | |||||||
\(510\) | 6.13401 | − | 3.54147i | 0.271619 | − | 0.156819i | ||||
\(511\) | −13.3363 | + | 0.256646i | −0.589965 | + | 0.0113534i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −4.88227 | + | 4.88227i | −0.215558 | + | 0.215558i | ||||
\(514\) | 9.05649 | + | 2.42668i | 0.399465 | + | 0.107036i | ||||
\(515\) | 13.8938 | − | 3.72283i | 0.612234 | − | 0.164048i | ||||
\(516\) | 7.79203i | 0.343025i | ||||||||
\(517\) | 7.65486 | + | 13.2586i | 0.336660 | + | 0.583113i | ||||
\(518\) | −6.99820 | + | 2.02025i | −0.307483 | + | 0.0887649i | ||||
\(519\) | − | 0.338105i | − | 0.0148412i | ||||||
\(520\) | −2.97660 | + | 3.85278i | −0.130532 | + | 0.168955i | ||||
\(521\) | 37.8760 | + | 21.8677i | 1.65938 | + | 0.958042i | 0.973002 | + | 0.230795i | \(0.0741326\pi\) |
0.686375 | + | 0.727247i | \(0.259201\pi\) | |||||||
\(522\) | −4.35211 | + | 4.35211i | −0.190487 | + | 0.190487i | ||||
\(523\) | −12.3991 | − | 7.15860i | −0.542173 | − | 0.313024i | 0.203786 | − | 0.979015i | \(-0.434675\pi\) |
−0.745959 | + | 0.665992i | \(0.768009\pi\) | |||||||
\(524\) | −6.00988 | + | 10.4094i | −0.262543 | + | 0.454738i | ||||
\(525\) | 6.05615 | + | 5.82746i | 0.264312 | + | 0.254331i | ||||
\(526\) | −6.39836 | − | 23.8790i | −0.278982 | − | 1.04117i | ||||
\(527\) | −1.61734 | − | 1.61734i | −0.0704523 | − | 0.0704523i | ||||
\(528\) | 0.689405 | + | 2.57289i | 0.0300025 | + | 0.111971i | ||||
\(529\) | −11.4656 | − | 19.8589i | −0.498502 | − | 0.863431i | ||||
\(530\) | 1.18591 | − | 2.05405i | 0.0515126 | − | 0.0892224i | ||||
\(531\) | 8.31990 | + | 2.22931i | 0.361053 | + | 0.0967438i | ||||
\(532\) | 8.82781 | − | 15.9932i | 0.382734 | − | 0.693392i | ||||
\(533\) | −4.99227 | − | 38.9122i | −0.216239 | − | 1.68547i | ||||
\(534\) | 3.10216 | + | 5.37310i | 0.134244 | + | 0.232517i | ||||
\(535\) | −8.60763 | − | 8.60763i | −0.372140 | − | 0.372140i | ||||
\(536\) | −10.3582 | −0.447405 | ||||||||
\(537\) | −5.55247 | −0.239607 | ||||||||
\(538\) | 13.6013 | + | 13.6013i | 0.586395 | + | 0.586395i | ||||
\(539\) | 5.51519 | + | 17.8113i | 0.237556 | + | 0.767185i | ||||
\(540\) | 1.30432 | − | 0.349490i | 0.0561288 | − | 0.0150397i | ||||
\(541\) | 3.55396 | − | 13.2636i | 0.152797 | − | 0.570246i | −0.846487 | − | 0.532409i | \(-0.821287\pi\) |
0.999284 | − | 0.0378365i | \(-0.0120466\pi\) | |||||||
\(542\) | −0.753994 | + | 0.435319i | −0.0323868 | + | 0.0186985i | ||||
\(543\) | − | 8.08476i | − | 0.346950i | ||||||
\(544\) | −1.35760 | − | 5.06662i | −0.0582065 | − | 0.217230i | ||||
\(545\) | −16.8559 | −0.722026 | ||||||||
\(546\) | −3.79059 | − | 8.75394i | −0.162222 | − | 0.374634i | ||||
\(547\) | −12.5282 | −0.535667 | −0.267833 | − | 0.963465i | \(-0.586308\pi\) | ||||
−0.267833 | + | 0.963465i | \(0.586308\pi\) | |||||||
\(548\) | −0.827900 | − | 3.08976i | −0.0353661 | − | 0.131988i | ||||
\(549\) | − | 8.80035i | − | 0.375590i | ||||||
\(550\) | −7.32780 | + | 4.23070i | −0.312458 | + | 0.180398i | ||||
\(551\) | −10.9989 | + | 41.0484i | −0.468568 | + | 1.74872i | ||||
\(552\) | 0.253530 | − | 0.0679332i | 0.0107910 | − | 0.00289143i | ||||
\(553\) | −15.9100 | + | 4.59292i | −0.676561 | + | 0.195311i | ||||
\(554\) | −14.9899 | − | 14.9899i | −0.636859 | − | 0.636859i | ||||
\(555\) | −3.71756 | −0.157802 | ||||||||
\(556\) | 6.04946 | 0.256554 | ||||||||
\(557\) | 7.74765 | + | 7.74765i | 0.328278 | + | 0.328278i | 0.851932 | − | 0.523653i | \(-0.175431\pi\) |
−0.523653 | + | 0.851932i | \(0.675431\pi\) | |||||||
\(558\) | −0.218027 | − | 0.377634i | −0.00922983 | − | 0.0159865i | ||||
\(559\) | 27.8420 | + | 3.75900i | 1.17759 | + | 0.158989i | ||||
\(560\) | −3.05905 | + | 1.84551i | −0.129268 | + | 0.0779872i | ||||
\(561\) | −13.4957 | − | 3.61617i | −0.569791 | − | 0.152675i | ||||
\(562\) | 14.6979 | − | 25.4575i | 0.619993 | − | 1.07386i | ||||
\(563\) | 5.68473 | + | 9.84623i | 0.239583 | + | 0.414969i | 0.960595 | − | 0.277953i | \(-0.0896561\pi\) |
−0.721012 | + | 0.692923i | \(0.756323\pi\) | |||||||
\(564\) | −1.48760 | − | 5.55179i | −0.0626392 | − | 0.233773i | ||||
\(565\) | −0.0738670 | − | 0.0738670i | −0.00310761 | − | 0.00310761i | ||||
\(566\) | −3.67072 | − | 13.6993i | −0.154292 | − | 0.575824i | ||||
\(567\) | −0.635473 | + | 2.56830i | −0.0266874 | + | 0.107859i | ||||
\(568\) | −2.09446 | + | 3.62770i | −0.0878814 | + | 0.152215i | ||||
\(569\) | 8.33716 | + | 4.81346i | 0.349512 | + | 0.201791i | 0.664470 | − | 0.747315i | \(-0.268657\pi\) |
−0.314958 | + | 0.949105i | \(0.601991\pi\) | |||||||
\(570\) | 6.59267 | − | 6.59267i | 0.276136 | − | 0.276136i | ||||
\(571\) | −9.45507 | − | 5.45889i | −0.395682 | − | 0.228447i | 0.288937 | − | 0.957348i | \(-0.406698\pi\) |
−0.684619 | + | 0.728901i | \(0.740032\pi\) | |||||||
\(572\) | 9.52587 | − | 1.22213i | 0.398297 | − | 0.0510998i | ||||
\(573\) | 13.3692i | 0.558506i | ||||||||
\(574\) | 6.91442 | − | 27.9451i | 0.288603 | − | 1.16640i | ||||
\(575\) | 0.416889 | + | 0.722073i | 0.0173855 | + | 0.0301125i | ||||
\(576\) | − | 1.00000i | − | 0.0416667i | ||||||
\(577\) | 25.9466 | − | 6.95237i | 1.08017 | − | 0.289431i | 0.325505 | − | 0.945540i | \(-0.394466\pi\) |
0.754666 | + | 0.656110i | \(0.227799\pi\) | |||||||
\(578\) | 10.1555 | + | 2.72116i | 0.422413 | + | 0.113185i | ||||
\(579\) | 6.68495 | − | 6.68495i | 0.277817 | − | 0.277817i | ||||
\(580\) | 5.87678 | − | 5.87678i | 0.244020 | − | 0.244020i | ||||
\(581\) | 29.8662 | − | 18.0182i | 1.23906 | − | 0.747520i | ||||
\(582\) | −16.6523 | + | 9.61423i | −0.690261 | + | 0.398523i | ||||
\(583\) | −4.51922 | + | 1.21092i | −0.187167 | + | 0.0501513i | ||||
\(584\) | −2.52080 | + | 4.36615i | −0.104311 | + | 0.180673i | ||||
\(585\) | −0.619553 | − | 4.82909i | −0.0256154 | − | 0.199658i | ||||
\(586\) | −2.78682 | + | 1.60897i | −0.115122 | + | 0.0664659i | ||||
\(587\) | −7.51437 | + | 28.0440i | −0.310151 | + | 1.15750i | 0.618269 | + | 0.785967i | \(0.287834\pi\) |
−0.928420 | + | 0.371533i | \(0.878832\pi\) | |||||||
\(588\) | −0.269318 | − | 6.99482i | −0.0111065 | − | 0.288461i | ||||
\(589\) | −2.60740 | − | 1.50539i | −0.107436 | − | 0.0620283i | ||||
\(590\) | −11.2346 | − | 3.01030i | −0.462521 | − | 0.123932i | ||||
\(591\) | 2.98754 | − | 11.1496i | 0.122891 | − | 0.458635i | ||||
\(592\) | −0.712550 | + | 2.65927i | −0.0292856 | + | 0.109295i | ||||
\(593\) | −5.76620 | − | 1.54505i | −0.236789 | − | 0.0634475i | 0.138473 | − | 0.990366i | \(-0.455781\pi\) |
−0.375262 | + | 0.926919i | \(0.622447\pi\) | |||||||
\(594\) | −2.30679 | − | 1.33183i | −0.0946489 | − | 0.0546456i | ||||
\(595\) | −0.360563 | − | 18.7362i | −0.0147816 | − | 0.768111i | ||||
\(596\) | 0.711179 | − | 2.65415i | 0.0291310 | − | 0.108718i | ||||
\(597\) | −1.95194 | + | 1.12695i | −0.0798877 | + | 0.0461232i | ||||
\(598\) | −0.120427 | − | 0.938669i | −0.00492464 | − | 0.0383850i | ||||
\(599\) | −11.9476 | + | 20.6938i | −0.488165 | + | 0.845527i | −0.999907 | − | 0.0136121i | \(-0.995667\pi\) |
0.511742 | + | 0.859139i | \(0.329000\pi\) | |||||||
\(600\) | 3.06837 | − | 0.822169i | 0.125266 | − | 0.0335649i | ||||
\(601\) | −31.4273 | + | 18.1445i | −1.28194 | + | 0.740131i | −0.977204 | − | 0.212304i | \(-0.931903\pi\) |
−0.304741 | + | 0.952435i | \(0.598570\pi\) | |||||||
\(602\) | 18.0488 | + | 9.96247i | 0.735615 | + | 0.406040i | ||||
\(603\) | 7.32433 | − | 7.32433i | 0.298270 | − | 0.298270i | ||||
\(604\) | 8.88793 | − | 8.88793i | 0.361645 | − | 0.361645i | ||||
\(605\) | 5.09328 | + | 1.36474i | 0.207071 | + | 0.0554845i | ||||
\(606\) | −3.02330 | + | 0.810090i | −0.122813 | + | 0.0329076i | ||||
\(607\) | 0.0450188i | 0.00182726i | 1.00000 | 0.000913628i | \(0.000290817\pi\) | |||||
−1.00000 | 0.000913628i | \(0.999709\pi\) | ||||||||
\(608\) | −3.45229 | − | 5.97954i | −0.140009 | − | 0.242502i | ||||
\(609\) | 4.51650 | + | 15.6453i | 0.183018 | + | 0.633978i | ||||
\(610\) | 11.8834i | 0.481143i | ||||||||
\(611\) | −20.5549 | + | 2.63711i | −0.831563 | + | 0.106686i | ||||
\(612\) | 4.54261 | + | 2.62268i | 0.183624 | + | 0.106015i | ||||
\(613\) | 6.37696 | − | 6.37696i | 0.257563 | − | 0.257563i | −0.566499 | − | 0.824062i | \(-0.691703\pi\) |
0.824062 | + | 0.566499i | \(0.191703\pi\) | |||||||
\(614\) | −8.20543 | − | 4.73740i | −0.331144 | − | 0.191186i | ||||
\(615\) | 7.34629 | − | 12.7242i | 0.296231 | − | 0.513087i | ||||
\(616\) | 6.84107 | + | 1.69268i | 0.275635 | + | 0.0682001i | ||||
\(617\) | −11.2249 | − | 41.8918i | −0.451897 | − | 1.68650i | −0.697054 | − | 0.717019i | \(-0.745506\pi\) |
0.245157 | − | 0.969483i | \(-0.421161\pi\) | |||||||
\(618\) | 7.53222 | + | 7.53222i | 0.302990 | + | 0.302990i | ||||
\(619\) | 5.32358 | + | 19.8679i | 0.213973 | + | 0.798557i | 0.986526 | + | 0.163607i | \(0.0523127\pi\) |
−0.772553 | + | 0.634950i | \(0.781021\pi\) | |||||||
\(620\) | 0.294408 | + | 0.509930i | 0.0118237 | + | 0.0204793i | ||||
\(621\) | −0.131237 | + | 0.227309i | −0.00526636 | + | 0.00912160i | ||||
\(622\) | −31.3571 | − | 8.40211i | −1.25731 | − | 0.336894i | ||||
\(623\) | 16.4120 | − | 0.315835i | 0.657534 | − | 0.0126537i | ||||
\(624\) | −3.57313 | − | 0.482416i | −0.143040 | − | 0.0193121i | ||||
\(625\) | 0.486981 | + | 0.843477i | 0.0194793 | + | 0.0337391i | ||||
\(626\) | −14.4451 | − | 14.4451i | −0.577344 | − | 0.577344i | ||||
\(627\) | −18.3914 | −0.734482 | ||||||||
\(628\) | 5.29937 | 0.211468 | ||||||||
\(629\) | −10.2113 | − | 10.2113i | −0.407149 | − | 0.407149i | ||||
\(630\) | 0.858097 | − | 3.46805i | 0.0341874 | − | 0.138170i | ||||
\(631\) | 4.76385 | − | 1.27647i | 0.189646 | − | 0.0508154i | −0.162746 | − | 0.986668i | \(-0.552035\pi\) |
0.352392 | + | 0.935853i | \(0.385368\pi\) | |||||||
\(632\) | −1.61994 | + | 6.04569i | −0.0644377 | + | 0.240485i | ||||
\(633\) | −19.3972 | + | 11.1990i | −0.770968 | + | 0.445119i | ||||
\(634\) | 3.64856i | 0.144903i | ||||||||
\(635\) | 4.99288 | + | 18.6337i | 0.198136 | + | 0.739455i | ||||
\(636\) | 1.75648 | 0.0696488 | ||||||||
\(637\) | −25.1233 | − | 2.41210i | −0.995423 | − | 0.0955709i | ||||
\(638\) | −16.3943 | −0.649057 | ||||||||
\(639\) | −1.08417 | − | 4.04618i | −0.0428891 | − | 0.160064i | ||||
\(640\) | 1.35033i | 0.0533764i | ||||||||
\(641\) | 35.8194 | − | 20.6804i | 1.41478 | − | 0.816825i | 0.418949 | − | 0.908010i | \(-0.362399\pi\) |
0.995834 | + | 0.0911847i | \(0.0290654\pi\) | |||||||
\(642\) | 2.33322 | − | 8.70769i | 0.0920848 | − | 0.343665i | ||||
\(643\) | 9.73707 | − | 2.60904i | 0.383992 | − | 0.102890i | −0.0616584 | − | 0.998097i | \(-0.519639\pi\) |
0.445651 | + | 0.895207i | \(0.352972\pi\) | |||||||
\(644\) | 0.166795 | − | 0.674112i | 0.00657264 | − | 0.0265637i | ||||
\(645\) | 7.44004 | + | 7.44004i | 0.292951 | + | 0.292951i | ||||
\(646\) | 36.2169 | 1.42494 | ||||||||
\(647\) | 16.6909 | 0.656186 | 0.328093 | − | 0.944645i | \(-0.393594\pi\) | ||||
0.328093 | + | 0.944645i | \(0.393594\pi\) | |||||||
\(648\) | 0.707107 | + | 0.707107i | 0.0277778 | + | 0.0277778i | ||||
\(649\) | 11.4716 | + | 19.8693i | 0.450298 | + | 0.779939i | ||||
\(650\) | −1.45748 | − | 11.3603i | −0.0571672 | − | 0.445589i | ||||
\(651\) | −1.15348 | + | 0.0221977i | −0.0452084 | + | 0.000869996i | ||||
\(652\) | 23.8476 | + | 6.38996i | 0.933946 | + | 0.250250i | ||||
\(653\) | 13.4815 | − | 23.3506i | 0.527571 | − | 0.913779i | −0.471913 | − | 0.881645i | \(-0.656436\pi\) |
0.999484 | − | 0.0321340i | \(-0.0102303\pi\) | |||||||
\(654\) | −6.24140 | − | 10.8104i | −0.244058 | − | 0.422721i | ||||
\(655\) | 4.20079 | + | 15.6776i | 0.164139 | + | 0.612573i | ||||
\(656\) | −7.69386 | − | 7.69386i | −0.300395 | − | 0.300395i | ||||
\(657\) | −1.30486 | − | 4.86981i | −0.0509075 | − | 0.189989i | ||||
\(658\) | −14.7617 | − | 3.65247i | −0.575470 | − | 0.142388i | ||||
\(659\) | −14.7018 | + | 25.4643i | −0.572702 | + | 0.991950i | 0.423585 | + | 0.905856i | \(0.360772\pi\) |
−0.996287 | + | 0.0860931i | \(0.972562\pi\) | |||||||
\(660\) | 3.11493 | + | 1.79840i | 0.121248 | + | 0.0700028i | ||||
\(661\) | −26.0540 | + | 26.0540i | −1.01338 | + | 1.01338i | −0.0134757 | + | 0.999909i | \(0.504290\pi\) |
−0.999909 | + | 0.0134757i | \(0.995710\pi\) | |||||||
\(662\) | −1.95986 | − | 1.13153i | −0.0761723 | − | 0.0439781i | ||||
\(663\) | 11.5626 | − | 14.9661i | 0.449054 | − | 0.581236i | ||||
\(664\) | − | 13.1836i | − | 0.511621i | ||||||
\(665\) | −6.84168 | − | 23.6997i | −0.265309 | − | 0.919036i | ||||
\(666\) | −1.37654 | − | 2.38424i | −0.0533399 | − | 0.0923874i | ||||
\(667\) | 1.61548i | 0.0625516i | ||||||||
\(668\) | −23.6159 | + | 6.32787i | −0.913727 | + | 0.244832i | ||||
\(669\) | −16.8883 | − | 4.52520i | −0.652939 | − | 0.174954i | ||||
\(670\) | −9.89024 | + | 9.89024i | −0.382093 | + | 0.382093i | ||||
\(671\) | 16.5754 | − | 16.5754i | 0.639885 | − | 0.639885i | ||||
\(672\) | −2.31632 | − | 1.27855i | −0.0893539 | − | 0.0493209i | ||||
\(673\) | −8.61642 | + | 4.97469i | −0.332138 | + | 0.191760i | −0.656790 | − | 0.754073i | \(-0.728086\pi\) |
0.324652 | + | 0.945834i | \(0.394753\pi\) | |||||||
\(674\) | −17.2438 | + | 4.62046i | −0.664207 | + | 0.177974i | ||||
\(675\) | −1.58831 | + | 2.75103i | −0.0611340 | + | 0.105887i | ||||
\(676\) | −3.44747 | + | 12.5345i | −0.132595 | + | 0.482098i | ||||
\(677\) | −0.655682 | + | 0.378558i | −0.0251999 | + | 0.0145492i | −0.512547 | − | 0.858659i | \(-0.671298\pi\) |
0.487347 | + | 0.873208i | \(0.337965\pi\) | |||||||
\(678\) | 0.0200227 | − | 0.0747257i | 0.000768967 | − | 0.00286982i | ||||
\(679\) | 0.978839 | + | 50.8643i | 0.0375644 | + | 1.95199i | ||||
\(680\) | −6.13401 | − | 3.54147i | −0.235229 | − | 0.135809i | ||||
\(681\) | −24.0041 | − | 6.43187i | −0.919838 | − | 0.246470i | ||||
\(682\) | 0.300618 | − | 1.12192i | 0.0115113 | − | 0.0429606i | ||||
\(683\) | 0.582225 | − | 2.17289i | 0.0222782 | − | 0.0831434i | −0.953892 | − | 0.300151i | \(-0.902963\pi\) |
0.976170 | + | 0.217008i | \(0.0696296\pi\) | |||||||
\(684\) | 6.66931 | + | 1.78704i | 0.255007 | + | 0.0683290i | ||||
\(685\) | −3.74069 | − | 2.15969i | −0.142924 | − | 0.0825174i | ||||
\(686\) | −16.5465 | − | 8.31936i | −0.631750 | − | 0.317635i | ||||
\(687\) | 0.302393 | − | 1.12855i | 0.0115370 | − | 0.0430567i | ||||
\(688\) | 6.74810 | − | 3.89602i | 0.257269 | − | 0.148534i | ||||
\(689\) | 0.847351 | − | 6.27612i | 0.0322815 | − | 0.239101i | ||||
\(690\) | 0.177213 | − | 0.306942i | 0.00674638 | − | 0.0116851i | ||||
\(691\) | 20.6220 | − | 5.52566i | 0.784499 | − | 0.210206i | 0.155732 | − | 0.987799i | \(-0.450226\pi\) |
0.628767 | + | 0.777594i | \(0.283560\pi\) | |||||||
\(692\) | −0.292808 | + | 0.169053i | −0.0111309 | + | 0.00642642i | ||||
\(693\) | −6.03427 | + | 3.64046i | −0.229223 | + | 0.138290i | ||||
\(694\) | −11.0995 | + | 11.0995i | −0.421332 | + | 0.421332i | ||||
\(695\) | 5.77618 | − | 5.77618i | 0.219103 | − | 0.219103i | ||||
\(696\) | 5.94510 | + | 1.59298i | 0.225348 | + | 0.0603819i | ||||
\(697\) | 55.1287 | − | 14.7717i | 2.08815 | − | 0.559518i | ||||
\(698\) | 29.8964i | 1.13160i | ||||||||
\(699\) | −5.80374 | − | 10.0524i | −0.219518 | − | 0.380216i | ||||
\(700\) | 2.01865 | − | 8.15851i | 0.0762979 | − | 0.308363i | ||||
\(701\) | 5.56664i | 0.210249i | 0.994459 | + | 0.105124i | \(0.0335241\pi\) | ||||
−0.994459 | + | 0.105124i | \(0.966476\pi\) | |||||||
\(702\) | 2.86771 | − | 2.18547i | 0.108235 | − | 0.0824851i | ||||
\(703\) | −16.4622 | − | 9.50443i | −0.620882 | − | 0.358466i | ||||
\(704\) | 1.88349 | − | 1.88349i | 0.0709867 | − | 0.0709867i | ||||
\(705\) | −6.72139 | − | 3.88060i | −0.253142 | − | 0.146152i | ||||
\(706\) | −13.4412 | + | 23.2809i | −0.505866 | + | 0.876186i | ||||
\(707\) | −1.98900 | + | 8.03864i | −0.0748039 | + | 0.302324i | ||||
\(708\) | −2.22931 | − | 8.31990i | −0.0837826 | − | 0.312681i | ||||
\(709\) | −26.1210 | − | 26.1210i | −0.980997 | − | 0.980997i | 0.0188262 | − | 0.999823i | \(-0.494007\pi\) |
−0.999823 | + | 0.0188262i | \(0.994007\pi\) | |||||||
\(710\) | 1.46399 | + | 5.46367i | 0.0549424 | + | 0.205048i | ||||
\(711\) | −3.12948 | − | 5.42042i | −0.117365 | − | 0.203282i | ||||
\(712\) | 3.10216 | − | 5.37310i | 0.116258 | − | 0.201365i | ||||
\(713\) | −0.110553 | − | 0.0296226i | −0.00414024 | − | 0.00110938i | ||||
\(714\) | 11.8829 | − | 7.16891i | 0.444706 | − | 0.268290i | ||||
\(715\) | 7.92862 | − | 10.2625i | 0.296514 | − | 0.383794i | ||||
\(716\) | 2.77624 | + | 4.80858i | 0.103753 | + | 0.179705i | ||||
\(717\) | 18.3896 | + | 18.3896i | 0.686772 | + | 0.686772i | ||||
\(718\) | 30.6785 | 1.14491 | ||||||||
\(719\) | 27.1960 | 1.01424 | 0.507120 | − | 0.861876i | \(-0.330710\pi\) | ||||
0.507120 | + | 0.861876i | \(0.330710\pi\) | |||||||
\(720\) | −0.954826 | − | 0.954826i | −0.0355843 | − | 0.0355843i | ||||
\(721\) | 27.0773 | − | 7.81672i | 1.00841 | − | 0.291110i | ||||
\(722\) | 27.6961 | − | 7.42116i | 1.03074 | − | 0.276187i | ||||
\(723\) | −7.70558 | + | 28.7576i | −0.286574 | + | 1.06951i | ||||
\(724\) | −7.00160 | + | 4.04238i | −0.260213 | + | 0.150234i | ||||
\(725\) | 19.5515i | 0.726124i | ||||||||
\(726\) | 1.01067 | + | 3.77188i | 0.0375096 | + | 0.139988i | ||||
\(727\) | 23.9303 | 0.887524 | 0.443762 | − | 0.896145i | \(-0.353644\pi\) | ||||
0.443762 | + | 0.896145i | \(0.353644\pi\) | |||||||
\(728\) | −5.68584 | + | 7.65972i | −0.210731 | + | 0.283888i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 1.76199 | + | 6.57584i | 0.0652142 | + | 0.243383i | ||||
\(731\) | 40.8720i | 1.51171i | ||||||||
\(732\) | −7.62133 | + | 4.40017i | −0.281692 | + | 0.162635i | ||||
\(733\) | 3.70012 | − | 13.8090i | 0.136667 | − | 0.510049i | −0.863318 | − | 0.504660i | \(-0.831618\pi\) |
0.999985 | − | 0.00538890i | \(-0.00171535\pi\) | |||||||
\(734\) | 14.5408 | − | 3.89619i | 0.536710 | − | 0.143811i | ||||
\(735\) | −6.93598 | − | 6.42168i | −0.255838 | − | 0.236867i | ||||
\(736\) | −0.185597 | − | 0.185597i | −0.00684120 | − | 0.00684120i | ||||
\(737\) | 27.5906 | 1.01631 | ||||||||
\(738\) | 10.8808 | 0.400526 | ||||||||
\(739\) | 18.9855 | + | 18.9855i | 0.698395 | + | 0.698395i | 0.964064 | − | 0.265670i | \(-0.0855930\pi\) |
−0.265670 | + | 0.964064i | \(0.585593\pi\) | |||||||
\(740\) | 1.85878 | + | 3.21950i | 0.0683302 | + | 0.118351i | ||||
\(741\) | 9.60269 | − | 22.9682i | 0.352764 | − | 0.843759i | ||||
\(742\) | 2.24573 | − | 4.06855i | 0.0824434 | − | 0.149361i | ||||
\(743\) | −4.31189 | − | 1.15537i | −0.158188 | − | 0.0423863i | 0.178856 | − | 0.983875i | \(-0.442760\pi\) |
−0.337044 | + | 0.941489i | \(0.609427\pi\) | |||||||
\(744\) | −0.218027 | + | 0.377634i | −0.00799327 | + | 0.0138447i | ||||
\(745\) | −1.85520 | − | 3.21331i | −0.0679694 | − | 0.117726i | ||||
\(746\) | −2.75236 | − | 10.2719i | −0.100771 | − | 0.376082i | ||||
\(747\) | 9.32218 | + | 9.32218i | 0.341081 | + | 0.341081i | ||||
\(748\) | 3.61617 | + | 13.4957i | 0.132220 | + | 0.493453i | ||||
\(749\) | −17.1867 | − | 16.5377i | −0.627987 | − | 0.604273i | ||||
\(750\) | 5.52055 | − | 9.56188i | 0.201582 | − | 0.349151i | ||||
\(751\) | 34.7923 | + | 20.0874i | 1.26959 | + | 0.732999i | 0.974910 | − | 0.222597i | \(-0.0714535\pi\) |
0.294680 | + | 0.955596i | \(0.404787\pi\) | |||||||
\(752\) | −4.06419 | + | 4.06419i | −0.148206 | + | 0.148206i | ||||
\(753\) | 1.90177 | + | 1.09799i | 0.0693042 | + | 0.0400128i | ||||
\(754\) | 8.55995 | − | 20.4741i | 0.311735 | − | 0.745624i | ||||
\(755\) | − | 16.9729i | − | 0.617705i | ||||||
\(756\) | 2.54195 | − | 0.733815i | 0.0924499 | − | 0.0266886i | ||||
\(757\) | −22.8181 | − | 39.5220i | −0.829336 | − | 1.43645i | −0.898560 | − | 0.438852i | \(-0.855385\pi\) |
0.0692231 | − | 0.997601i | \(-0.477948\pi\) | |||||||
\(758\) | − | 1.44541i | − | 0.0524995i | ||||||
\(759\) | −0.675317 | + | 0.180951i | −0.0245125 | + | 0.00656810i | ||||
\(760\) | −9.00575 | − | 2.41308i | −0.326673 | − | 0.0875317i | ||||
\(761\) | 31.4981 | − | 31.4981i | 1.14180 | − | 1.14180i | 0.153685 | − | 0.988120i | \(-0.450886\pi\) |
0.988120 | − | 0.153685i | \(-0.0491141\pi\) | |||||||
\(762\) | −10.1018 | + | 10.1018i | −0.365951 | + | 0.365951i | ||||
\(763\) | −33.0203 | + | 0.635447i | −1.19541 | + | 0.0230047i | ||||
\(764\) | 11.5781 | − | 6.68460i | 0.418880 | − | 0.241840i | ||||
\(765\) | 6.84160 | − | 1.83320i | 0.247359 | − | 0.0662795i | ||||
\(766\) | −13.0378 | + | 22.5821i | −0.471075 | + | 0.815926i | ||||
\(767\) | −30.8036 | + | 3.95197i | −1.11225 | + | 0.142697i | ||||
\(768\) | −0.866025 | + | 0.500000i | −0.0312500 | + | 0.0180422i | ||||
\(769\) | −3.66323 | + | 13.6714i | −0.132099 | + | 0.493002i | −0.999993 | − | 0.00374840i | \(-0.998807\pi\) |
0.867894 | + | 0.496750i | \(0.165474\pi\) | |||||||
\(770\) | 8.14825 | − | 4.91582i | 0.293642 | − | 0.177154i | ||||
\(771\) | 8.11982 | + | 4.68798i | 0.292428 | + | 0.168834i | ||||
\(772\) | −9.13181 | − | 2.44686i | −0.328661 | − | 0.0880644i | ||||
\(773\) | −9.54074 | + | 35.6065i | −0.343157 | + | 1.28068i | 0.551594 | + | 0.834113i | \(0.314020\pi\) |
−0.894751 | + | 0.446566i | \(0.852647\pi\) | |||||||
\(774\) | −2.01673 | + | 7.52653i | −0.0724898 | + | 0.270535i | ||||
\(775\) | −1.33798 | − | 0.358510i | −0.0480616 | − | 0.0128781i | ||||
\(776\) | 16.6523 | + | 9.61423i | 0.597784 | + | 0.345131i | ||||
\(777\) | −7.28262 | + | 0.140148i | −0.261263 | + | 0.00502777i | ||||
\(778\) | −1.48778 | + | 5.55245i | −0.0533393 | + | 0.199065i | ||||
\(779\) | 65.0619 | − | 37.5635i | 2.33108 | − | 1.34585i | ||||
\(780\) | −3.87234 | + | 2.95110i | −0.138652 | + | 0.105666i | ||||
\(781\) | 5.57891 | − | 9.66296i | 0.199629 | − | 0.345768i | ||||
\(782\) | 1.32986 | − | 0.356334i | 0.0475556 | − | 0.0127425i | ||||
\(783\) | −5.33023 | + | 3.07741i | −0.190487 | + | 0.109978i | ||||
\(784\) | −5.92303 | + | 3.73064i | −0.211537 | + | 0.133237i | ||||
\(785\) | 5.05998 | − | 5.05998i | 0.180598 | − | 0.180598i | ||||
\(786\) | −8.49925 | + | 8.49925i | −0.303158 | + | 0.303158i | ||||
\(787\) | 10.1039 | + | 2.70734i | 0.360166 | + | 0.0965062i | 0.434364 | − | 0.900737i | \(-0.356973\pi\) |
−0.0741982 | + | 0.997244i | \(0.523640\pi\) | |||||||
\(788\) | −11.1496 | + | 2.98754i | −0.397190 | + | 0.106427i | ||||
\(789\) | − | 24.7214i | − | 0.880104i | ||||||
\(790\) | 4.22582 | + | 7.31934i | 0.150348 | + | 0.260411i | ||||
\(791\) | −0.147489 | − | 0.141919i | −0.00524409 | − | 0.00504606i | ||||
\(792\) | 2.66366i | 0.0946489i | ||||||||
\(793\) | 12.0458 | + | 29.3547i | 0.427757 | + | 1.04242i | ||||
\(794\) | −13.6403 | − | 7.87523i | −0.484076 | − | 0.279481i | ||||
\(795\) | 1.67713 | − | 1.67713i | 0.0594816 | − | 0.0594816i | ||||
\(796\) | 1.95194 | + | 1.12695i | 0.0691847 | + | 0.0399438i | ||||
\(797\) | −9.78362 | + | 16.9457i | −0.346554 | + | 0.600248i | −0.985635 | − | 0.168891i | \(-0.945981\pi\) |
0.639081 | + | 0.769139i | \(0.279315\pi\) | |||||||
\(798\) | 12.6663 | − | 13.1634i | 0.448384 | − | 0.465980i | ||||
\(799\) | −7.80298 | − | 29.1211i | −0.276050 | − | 1.03023i | ||||
\(800\) | −2.24621 | − | 2.24621i | −0.0794154 | − | 0.0794154i | ||||
\(801\) | 1.60580 | + | 5.99291i | 0.0567380 | + | 0.211749i | ||||
\(802\) | 9.55584 | + | 16.5512i | 0.337429 | + | 0.584443i | ||||
\(803\) | 6.71454 | − | 11.6299i | 0.236951 | − | 0.410411i | ||||
\(804\) | −10.0052 | − | 2.68089i | −0.352857 | − | 0.0945477i | ||||
\(805\) | −0.484399 | − | 0.802920i | −0.0170728 | − | 0.0282992i | ||||
\(806\) | 1.24416 | + | 0.961217i | 0.0438236 | + | 0.0338574i | ||||
\(807\) | 9.61759 | + | 16.6582i | 0.338555 | + | 0.586395i | ||||
\(808\) | 2.21321 | + | 2.21321i | 0.0778603 | + | 0.0778603i | ||||
\(809\) | 7.29909 | 0.256622 | 0.128311 | − | 0.991734i | \(-0.459044\pi\) | ||||
0.128311 | + | 0.991734i | \(0.459044\pi\) | |||||||
\(810\) | 1.35033 | 0.0474457 | ||||||||
\(811\) | −13.4146 | − | 13.4146i | −0.471049 | − | 0.471049i | 0.431205 | − | 0.902254i | \(-0.358089\pi\) |
−0.902254 | + | 0.431205i | \(0.858089\pi\) | |||||||
\(812\) | 11.2909 | − | 11.7340i | 0.396234 | − | 0.411784i | ||||
\(813\) | −0.840971 | + | 0.225338i | −0.0294941 | + | 0.00790293i | ||||
\(814\) | 1.89799 | − | 7.08339i | 0.0665244 | − | 0.248273i | ||||
\(815\) | 28.8716 | − | 16.6690i | 1.01133 | − | 0.583891i | ||||
\(816\) | − | 5.24536i | − | 0.183624i | ||||||
\(817\) | 13.9246 | + | 51.9675i | 0.487162 | + | 1.81811i | ||||
\(818\) | −17.9265 | −0.626784 | ||||||||
\(819\) | −1.39574 | − | 9.43673i | −0.0487712 | − | 0.329746i | ||||
\(820\) | −14.6926 | −0.513087 | ||||||||
\(821\) | 11.8568 | + | 44.2500i | 0.413803 | + | 1.54434i | 0.787220 | + | 0.616672i | \(0.211519\pi\) |
−0.373417 | + | 0.927664i | \(0.621814\pi\) | |||||||
\(822\) | − | 3.19876i | − | 0.111570i | ||||||
\(823\) | 39.1492 | − | 22.6028i | 1.36466 | − | 0.787885i | 0.374417 | − | 0.927260i | \(-0.377843\pi\) |
0.990240 | + | 0.139375i | \(0.0445094\pi\) | |||||||
\(824\) | 2.75698 | − | 10.2892i | 0.0960441 | − | 0.358441i | ||||
\(825\) | −8.17309 | + | 2.18997i | −0.284551 | + | 0.0762451i | ||||
\(826\) | −22.1218 | − | 5.47358i | −0.769716 | − | 0.190450i | ||||
\(827\) | −3.77092 | − | 3.77092i | −0.131128 | − | 0.131128i | 0.638497 | − | 0.769625i | \(-0.279557\pi\) |
−0.769625 | + | 0.638497i | \(0.779557\pi\) | |||||||
\(828\) | 0.262474 | 0.00912160 | ||||||||
\(829\) | −39.9154 | −1.38632 | −0.693159 | − | 0.720784i | \(-0.743782\pi\) | ||||
−0.693159 | + | 0.720784i | \(0.743782\pi\) | |||||||
\(830\) | −12.5880 | − | 12.5880i | −0.436936 | − | 0.436936i | ||||
\(831\) | −10.5994 | − | 18.3588i | −0.367691 | − | 0.636859i | ||||
\(832\) | 1.36878 | + | 3.33563i | 0.0474540 | + | 0.115642i | ||||
\(833\) | −1.41267 | − | 36.6903i | −0.0489461 | − | 1.27124i | ||||
\(834\) | 5.84333 | + | 1.56571i | 0.202338 | + | 0.0542163i | ||||
\(835\) | −16.5071 | + | 28.5911i | −0.571251 | + | 0.989436i | ||||
\(836\) | 9.19570 | + | 15.9274i | 0.318040 | + | 0.550862i | ||||
\(837\) | −0.112859 | − | 0.421196i | −0.00390099 | − | 0.0145587i | ||||
\(838\) | 4.03690 | + | 4.03690i | 0.139452 | + | 0.139452i | ||||
\(839\) | 12.7555 | + | 47.6042i | 0.440369 | + | 1.64348i | 0.727882 | + | 0.685702i | \(0.240505\pi\) |
−0.287514 | + | 0.957777i | \(0.592829\pi\) | |||||||
\(840\) | −3.43247 | + | 0.990891i | −0.118431 | + | 0.0341890i | ||||
\(841\) | −4.44090 | + | 7.69187i | −0.153135 | + | 0.265237i | ||||
\(842\) | −13.7572 | − | 7.94274i | −0.474105 | − | 0.273725i | ||||
\(843\) | 20.7859 | − | 20.7859i | 0.715906 | − | 0.715906i | ||||
\(844\) | 19.3972 | + | 11.1990i | 0.667678 | + | 0.385484i | ||||
\(845\) | 8.67658 | + | 15.2600i | 0.298483 | + | 0.524962i | ||||
\(846\) | − | 5.74764i | − | 0.197608i | ||||||
\(847\) | 10.0291 | + | 2.48148i | 0.344603 | + | 0.0852648i | ||||
\(848\) | −0.878238 | − | 1.52115i | −0.0301588 | − | 0.0522366i | ||||
\(849\) | − | 14.1826i | − | 0.486744i | ||||||
\(850\) | 16.0947 | − | 4.31257i | 0.552044 | − | 0.147920i | ||||
\(851\) | −0.697990 | − | 0.187026i | −0.0239268 | − | 0.00641116i | ||||
\(852\) | −2.96201 | + | 2.96201i | −0.101477 | + | 0.101477i | ||||
\(853\) | −0.286626 | + | 0.286626i | −0.00981388 | + | 0.00981388i | −0.711997 | − | 0.702183i | \(-0.752209\pi\) |
0.702183 | + | 0.711997i | \(0.252209\pi\) | |||||||
\(854\) | 0.447988 | + | 23.2792i | 0.0153298 | + | 0.796599i | ||||
\(855\) | 8.07433 | − | 4.66172i | 0.276136 | − | 0.159427i | ||||
\(856\) | −8.70769 | + | 2.33322i | −0.297623 | + | 0.0797478i | ||||
\(857\) | 13.9868 | − | 24.2258i | 0.477780 | − | 0.827539i | −0.521896 | − | 0.853009i | \(-0.674775\pi\) |
0.999676 | + | 0.0254706i | \(0.00810841\pi\) | |||||||
\(858\) | 9.51759 | + | 1.28499i | 0.324925 | + | 0.0438688i | ||||
\(859\) | 14.1312 | − | 8.15866i | 0.482151 | − | 0.278370i | −0.239161 | − | 0.970980i | \(-0.576873\pi\) |
0.721312 | + | 0.692610i | \(0.243539\pi\) | |||||||
\(860\) | 2.72324 | − | 10.1633i | 0.0928618 | − | 0.346565i | ||||
\(861\) | 13.9115 | − | 25.2033i | 0.474104 | − | 0.858925i | ||||
\(862\) | 15.6491 | + | 9.03501i | 0.533010 | + | 0.307734i | ||||
\(863\) | −11.9697 | − | 3.20727i | −0.407453 | − | 0.109177i | 0.0492701 | − | 0.998785i | \(-0.484310\pi\) |
−0.456724 | + | 0.889609i | \(0.650977\pi\) | |||||||
\(864\) | 0.258819 | − | 0.965926i | 0.00880520 | − | 0.0328615i | ||||
\(865\) | −0.118165 | + | 0.440996i | −0.00401772 | + | 0.0149943i | ||||
\(866\) | 15.5880 | + | 4.17679i | 0.529702 | + | 0.141933i | ||||
\(867\) | 9.10517 | + | 5.25687i | 0.309228 | + | 0.178533i | ||||
\(868\) | 0.595963 | + | 0.987843i | 0.0202283 | + | 0.0335296i | ||||
\(869\) | 4.31496 | − | 16.1036i | 0.146375 | − | 0.546279i | ||||
\(870\) | 7.19756 | − | 4.15551i | 0.244020 | − | 0.140885i | ||||
\(871\) | −14.4059 | + | 34.4567i | −0.488124 | + | 1.16752i | ||||
\(872\) | −6.24140 | + | 10.8104i | −0.211361 | + | 0.366087i | ||||
\(873\) | −18.5733 | + | 4.97669i | −0.628610 | + | 0.168435i | ||||
\(874\) | 1.56947 | − | 0.906135i | 0.0530882 | − | 0.0306505i | ||||
\(875\) | −15.0901 | − | 25.0126i | −0.510137 | − | 0.845582i | ||||
\(876\) | −3.56495 | + | 3.56495i | −0.120448 | + | 0.120448i | ||||
\(877\) | −27.2323 | + | 27.2323i | −0.919570 | + | 0.919570i | −0.996998 | − | 0.0774280i | \(-0.975329\pi\) |
0.0774280 | + | 0.996998i | \(0.475329\pi\) | |||||||
\(878\) | 10.0779 | + | 2.70035i | 0.340111 | + | 0.0911325i | ||||
\(879\) | −3.10829 | + | 0.832864i | −0.104840 | + | 0.0280918i | ||||
\(880\) | − | 3.59681i | − | 0.121248i | ||||||
\(881\) | −20.9998 | − | 36.3728i | −0.707503 | − | 1.22543i | −0.965781 | − | 0.259360i | \(-0.916488\pi\) |
0.258278 | − | 0.966071i | \(-0.416845\pi\) | |||||||
\(882\) | 1.55025 | − | 6.82618i | 0.0521997 | − | 0.229849i | ||||
\(883\) | 56.1761i | 1.89048i | 0.326383 | + | 0.945238i | \(0.394170\pi\) | ||||
−0.326383 | + | 0.945238i | \(0.605830\pi\) | |||||||
\(884\) | −18.7423 | − | 2.53044i | −0.630373 | − | 0.0851080i | ||||
\(885\) | −10.0727 | − | 5.81545i | −0.338589 | − | 0.195484i | ||||
\(886\) | 1.18215 | − | 1.18215i | 0.0397151 | − | 0.0397151i | ||||
\(887\) | 11.7059 | + | 6.75843i | 0.393047 | + | 0.226926i | 0.683480 | − | 0.729970i | \(-0.260466\pi\) |
−0.290432 | + | 0.956895i | \(0.593799\pi\) | |||||||
\(888\) | −1.37654 | + | 2.38424i | −0.0461937 | + | 0.0800098i | ||||
\(889\) | 10.4834 | + | 36.3147i | 0.351602 | + | 1.21796i | ||||
\(890\) | −2.16835 | − | 8.09239i | −0.0726832 | − | 0.271258i | ||||
\(891\) | −1.88349 | − | 1.88349i | −0.0630993 | − | 0.0630993i | ||||
\(892\) | 4.52520 | + | 16.8883i | 0.151515 | + | 0.565462i | ||||
\(893\) | −19.8425 | − | 34.3682i | −0.664004 | − | 1.15009i | ||||
\(894\) | 1.37389 | − | 2.37965i | 0.0459498 | − | 0.0795874i | ||||
\(895\) | 7.24218 | + | 1.94054i | 0.242079 | + | 0.0648650i | ||||
\(896\) | 0.0509058 | + | 2.64526i | 0.00170064 | + | 0.0883720i | ||||
\(897\) | 0.126622 | − | 0.937854i | 0.00422777 | − | 0.0313140i | ||||
\(898\) | 0.411722 | + | 0.713123i | 0.0137393 | + | 0.0237972i | ||||
\(899\) | −1.89776 | − | 1.89776i | −0.0632938 | − | 0.0632938i | ||||
\(900\) | 3.17662 | 0.105887 | ||||||||
\(901\) | 9.21334 | 0.306941 | ||||||||
\(902\) | 20.4938 | + | 20.4938i | 0.682368 | + | 0.682368i | ||||
\(903\) | 14.8553 | + | 14.2944i | 0.494355 | + | 0.475687i | ||||
\(904\) | −0.0747257 | + | 0.0200227i | −0.00248534 | + | 0.000665945i | ||||
\(905\) | −2.82555 | + | 10.5451i | −0.0939243 | + | 0.350530i | ||||
\(906\) | 10.8855 | − | 6.28472i | 0.361645 | − | 0.208796i | ||||
\(907\) | 49.8324i | 1.65466i | 0.561718 | + | 0.827329i | \(0.310141\pi\) | ||||
−0.561718 | + | 0.827329i | \(0.689859\pi\) | |||||||
\(908\) | 6.43187 | + | 24.0041i | 0.213449 | + | 0.796603i | ||||
\(909\) | −3.12995 | −0.103814 | ||||||||
\(910\) | 1.88471 | + | 12.7427i | 0.0624775 | + | 0.422416i | ||||
\(911\) | −0.960415 | −0.0318200 | −0.0159100 | − | 0.999873i | \(-0.505065\pi\) | ||||
−0.0159100 | + | 0.999873i | \(0.505065\pi\) | |||||||
\(912\) | −1.78704 | − | 6.66931i | −0.0591747 | − | 0.220843i | ||||
\(913\) | 35.1164i | 1.16218i | ||||||||
\(914\) | 13.8869 | − | 8.01762i | 0.459339 | − | 0.265199i | ||||
\(915\) | −3.07564 | + | 11.4784i | −0.101677 | + | 0.379465i | ||||
\(916\) | −1.12855 | + | 0.302393i | −0.0372882 | + | 0.00999135i | ||||
\(917\) | 8.82028 | + | 30.5536i | 0.291271 | + | 1.00897i | ||||
\(918\) | 3.70903 | + | 3.70903i | 0.122416 | + | 0.122416i | ||||
\(919\) | −3.34147 | −0.110225 | −0.0551125 | − | 0.998480i | \(-0.517552\pi\) | ||||
−0.0551125 | + | 0.998480i | \(0.517552\pi\) | |||||||
\(920\) | −0.354426 | −0.0116851 | ||||||||
\(921\) | −6.69970 | − | 6.69970i | −0.220763 | − | 0.220763i | ||||
\(922\) | 7.59051 | + | 13.1472i | 0.249980 | + | 0.432979i | ||||
\(923\) | 9.15473 | + | 12.0126i | 0.301332 | + | 0.395399i | ||||
\(924\) | 6.16987 | + | 3.40560i | 0.202974 | + | 0.112036i | ||||
\(925\) | −8.44749 | − | 2.26350i | −0.277752 | − | 0.0744233i | ||||
\(926\) | −1.99240 | + | 3.45093i | −0.0654742 | + | 0.113405i | ||||
\(927\) | 5.32608 | + | 9.22505i | 0.174932 | + | 0.302990i | ||||
\(928\) | −1.59298 | − | 5.94510i | −0.0522923 | − | 0.195157i | ||||
\(929\) | −10.5024 | − | 10.5024i | −0.344571 | − | 0.344571i | 0.513511 | − | 0.858083i | \(-0.328344\pi\) |
−0.858083 | + | 0.513511i | \(0.828344\pi\) | |||||||
\(930\) | 0.152397 | + | 0.568753i | 0.00499729 | + | 0.0186501i | ||||
\(931\) | −14.2962 | − | 46.1693i | −0.468537 | − | 1.51314i | ||||
\(932\) | −5.80374 | + | 10.0524i | −0.190108 | + | 0.329276i | ||||
\(933\) | −28.1140 | − | 16.2316i | −0.920411 | − | 0.531400i | ||||
\(934\) | 3.23568 | − | 3.23568i | 0.105875 | − | 0.105875i | ||||
\(935\) | 16.3389 | + | 9.43327i | 0.534339 | + | 0.308501i | ||||
\(936\) | −3.32652 | − | 1.39077i | −0.108731 | − | 0.0454588i | ||||
\(937\) | − | 35.6374i | − | 1.16422i | −0.813108 | − | 0.582112i | \(-0.802226\pi\) | ||
0.813108 | − | 0.582112i | \(-0.197774\pi\) | |||||||
\(938\) | −19.0019 | + | 19.7476i | −0.620435 | + | 0.644783i | ||||
\(939\) | −10.2143 | − | 17.6916i | −0.333330 | − | 0.577344i | ||||
\(940\) | 7.76119i | 0.253142i | ||||||||
\(941\) | 33.4770 | − | 8.97013i | 1.09132 | − | 0.292418i | 0.332093 | − | 0.943246i | \(-0.392245\pi\) |
0.759225 | + | 0.650829i | \(0.225578\pi\) | |||||||
\(942\) | 5.11880 | + | 1.37158i | 0.166780 | + | 0.0446884i | ||||
\(943\) | 2.01944 | − | 2.01944i | 0.0657619 | − | 0.0657619i | ||||
\(944\) | −6.09059 | + | 6.09059i | −0.198232 | + | 0.198232i | ||||
\(945\) | 1.72645 | − | 3.12779i | 0.0561616 | − | 0.101747i | ||||
\(946\) | −17.9746 | + | 10.3776i | −0.584405 | + | 0.337406i | ||||
\(947\) | 28.2216 | − | 7.56197i | 0.917080 | − | 0.245731i | 0.230743 | − | 0.973015i | \(-0.425884\pi\) |
0.686337 | + | 0.727284i | \(0.259218\pi\) | |||||||
\(948\) | −3.12948 | + | 5.42042i | −0.101641 | + | 0.176047i | ||||
\(949\) | 11.0182 | + | 14.4578i | 0.357667 | + | 0.469321i | ||||
\(950\) | 18.9947 | − | 10.9666i | 0.616269 | − | 0.355803i | ||||
\(951\) | −0.944317 | + | 3.52424i | −0.0306216 | + | 0.114281i | ||||
\(952\) | −12.1499 | − | 6.70642i | −0.393781 | − | 0.217356i | ||||
\(953\) | 29.3888 | + | 16.9676i | 0.951995 | + | 0.549635i | 0.893700 | − | 0.448665i | \(-0.148100\pi\) |
0.0582951 | + | 0.998299i | \(0.481434\pi\) | |||||||
\(954\) | 1.69662 | + | 0.454609i | 0.0549303 | + | 0.0147185i | ||||
\(955\) | 4.67241 | − | 17.4377i | 0.151196 | − | 0.564269i | ||||
\(956\) | 6.73106 | − | 25.1206i | 0.217698 | − | 0.812460i | ||||
\(957\) | −15.8357 | − | 4.24316i | −0.511895 | − | 0.137162i | ||||
\(958\) | −35.5135 | − | 20.5037i | −1.14739 | − | 0.662445i | ||||
\(959\) | −7.40934 | − | 4.08976i | −0.239260 | − | 0.132065i | ||||
\(960\) | −0.349490 | + | 1.30432i | −0.0112798 | + | 0.0420966i | ||||
\(961\) | −26.6821 | + | 15.4049i | −0.860713 | + | 0.496933i | ||||
\(962\) | 7.85514 | + | 6.06876i | 0.253260 | + | 0.195665i | ||||
\(963\) | 4.50743 | − | 7.80711i | 0.145250 | − | 0.251580i | ||||
\(964\) | 28.7576 | − | 7.70558i | 0.926221 | − | 0.248180i | ||||
\(965\) | −11.0556 | + | 6.38296i | −0.355893 | + | 0.205475i | ||||
\(966\) | 0.335585 | − | 0.607973i | 0.0107973 | − | 0.0195612i | ||||
\(967\) | −11.2022 | + | 11.2022i | −0.360239 | + | 0.360239i | −0.863901 | − | 0.503662i | \(-0.831986\pi\) |
0.503662 | + | 0.863901i | \(0.331986\pi\) | |||||||
\(968\) | 2.76121 | − | 2.76121i | 0.0887486 | − | 0.0887486i | ||||
\(969\) | 34.9829 | + | 9.37364i | 1.12381 | + | 0.301125i | ||||
\(970\) | 25.0800 | − | 6.72016i | 0.805270 | − | 0.215771i | ||||
\(971\) | − | 8.27279i | − | 0.265486i | −0.991150 | − | 0.132743i | \(-0.957621\pi\) | ||
0.991150 | − | 0.132743i | \(-0.0423786\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | 11.0976 | − | 11.5332i | 0.355774 | − | 0.369736i | ||||
\(974\) | − | 18.3333i | − | 0.587438i | ||||||
\(975\) | 1.53245 | − | 11.3505i | 0.0490777 | − | 0.363506i | ||||
\(976\) | 7.62133 | + | 4.40017i | 0.243953 | + | 0.140846i | ||||
\(977\) | −3.43245 | + | 3.43245i | −0.109814 | + | 0.109814i | −0.759879 | − | 0.650065i | \(-0.774742\pi\) |
0.650065 | + | 0.759879i | \(0.274742\pi\) | |||||||
\(978\) | 21.3812 | + | 12.3444i | 0.683696 | + | 0.394732i | ||||
\(979\) | −8.26308 | + | 14.3121i | −0.264089 | + | 0.457416i | ||||
\(980\) | −2.09335 | + | 9.21758i | −0.0668695 | + | 0.294445i | ||||
\(981\) | −3.23079 | − | 12.0575i | −0.103151 | − | 0.384965i | ||||
\(982\) | 16.7876 | + | 16.7876i | 0.535713 | + | 0.535713i | ||||
\(983\) | −3.57490 | − | 13.3417i | −0.114022 | − | 0.425534i | 0.885190 | − | 0.465229i | \(-0.154028\pi\) |
−0.999212 | + | 0.0396949i | \(0.987361\pi\) | |||||||
\(984\) | −5.44038 | − | 9.42301i | −0.173433 | − | 0.300395i | ||||
\(985\) | −7.79339 | + | 13.4985i | −0.248318 | + | 0.430100i | ||||
\(986\) | 31.1842 | + | 8.35577i | 0.993106 | + | 0.266102i | ||||
\(987\) | −13.3133 | − | 7.34861i | −0.423768 | − | 0.233909i | ||||
\(988\) | −24.6924 | + | 3.16793i | −0.785570 | + | 0.100785i | ||||
\(989\) | 1.02260 | + | 1.77120i | 0.0325169 | + | 0.0563209i | ||||
\(990\) | 2.54333 | + | 2.54333i | 0.0808322 | + | 0.0808322i | ||||
\(991\) | −23.2282 | −0.737869 | −0.368935 | − | 0.929455i | \(-0.620277\pi\) | ||||
−0.368935 | + | 0.929455i | \(0.620277\pi\) | |||||||
\(992\) | 0.436055 | 0.0138447 | ||||||||
\(993\) | −1.60022 | − | 1.60022i | −0.0507815 | − | 0.0507815i | ||||
\(994\) | 3.07389 | + | 10.6480i | 0.0974978 | + | 0.337734i | ||||
\(995\) | 2.93981 | − | 0.787719i | 0.0931982 | − | 0.0249724i | ||||
\(996\) | 3.41215 | − | 12.7343i | 0.108118 | − | 0.403503i | ||||
\(997\) | 4.53010 | − | 2.61545i | 0.143470 | − | 0.0828323i | −0.426547 | − | 0.904465i | \(-0.640270\pi\) |
0.570017 | + | 0.821633i | \(0.306937\pi\) | |||||||
\(998\) | 34.7472i | 1.09990i | ||||||||
\(999\) | −0.712550 | − | 2.65927i | −0.0225441 | − | 0.0841357i |
(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 | 546.2.by.b.535.2 | yes | 40 | |
7.5 | odd | 6 | 546.2.cg.b.145.2 | yes | 40 | ||
13.7 | odd | 12 | 546.2.cg.b.241.2 | yes | 40 | ||
91.33 | even | 12 | inner | 546.2.by.b.397.2 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.397.2 | ✓ | 40 | 91.33 | even | 12 | inner | |
546.2.by.b.535.2 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.cg.b.145.2 | yes | 40 | 7.5 | odd | 6 | ||
546.2.cg.b.241.2 | yes | 40 | 13.7 | odd | 12 |