Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(137,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.137");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.j (of order \(6\), degree \(2\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 137.6 | ||
Character | \(\chi\) | \(=\) | 966.137 |
Dual form | 966.2.j.a.275.6 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | −1.58146 | − | 0.706395i | −0.913054 | − | 0.407838i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.53878 | + | 2.66525i | 0.688166 | + | 1.19194i | 0.972431 | + | 0.233192i | \(0.0749171\pi\) |
−0.284265 | + | 0.958746i | \(0.591750\pi\) | |||||||
\(6\) | 1.72278 | − | 0.178972i | 0.703322 | − | 0.0730650i | ||||
\(7\) | 0.379647 | + | 2.61837i | 0.143493 | + | 0.989651i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.00201 | + | 2.23427i | 0.667337 | + | 0.744756i | ||||
\(10\) | −2.66525 | − | 1.53878i | −0.842827 | − | 0.486607i | ||||
\(11\) | −2.20065 | + | 3.81164i | −0.663522 | + | 1.14925i | 0.316162 | + | 0.948705i | \(0.397606\pi\) |
−0.979684 | + | 0.200548i | \(0.935728\pi\) | |||||||
\(12\) | −1.40248 | + | 1.01638i | −0.404862 | + | 0.293405i | ||||
\(13\) | 3.82174 | 1.05996 | 0.529980 | − | 0.848010i | \(-0.322199\pi\) | ||||
0.529980 | + | 0.848010i | \(0.322199\pi\) | |||||||
\(14\) | −1.63797 | − | 2.07775i | −0.437766 | − | 0.555303i | ||||
\(15\) | −0.550799 | − | 5.30197i | −0.142216 | − | 1.36896i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.52209 | + | 4.36839i | −0.611697 | + | 1.05949i | 0.379258 | + | 0.925291i | \(0.376179\pi\) |
−0.990954 | + | 0.134199i | \(0.957154\pi\) | |||||||
\(18\) | −2.85093 | − | 0.933927i | −0.671970 | − | 0.220129i | ||||
\(19\) | −2.68548 | + | 1.55046i | −0.616092 | + | 0.355701i | −0.775346 | − | 0.631537i | \(-0.782424\pi\) |
0.159254 | + | 0.987238i | \(0.449091\pi\) | |||||||
\(20\) | 3.07757 | 0.688166 | ||||||||
\(21\) | 1.24921 | − | 4.40902i | 0.272600 | − | 0.962127i | ||||
\(22\) | − | 4.40131i | − | 0.938362i | ||||||
\(23\) | 0.591162 | − | 4.75926i | 0.123266 | − | 0.992374i | ||||
\(24\) | 0.706395 | − | 1.58146i | 0.144192 | − | 0.322814i | ||||
\(25\) | −2.23572 | + | 3.87238i | −0.447144 | + | 0.774476i | ||||
\(26\) | −3.30972 | + | 1.91087i | −0.649090 | + | 0.374752i | ||||
\(27\) | −1.58782 | − | 4.94761i | −0.305576 | − | 0.952168i | ||||
\(28\) | 2.45740 | + | 0.980401i | 0.464405 | + | 0.185278i | ||||
\(29\) | 2.98764i | 0.554791i | 0.960756 | + | 0.277395i | \(0.0894712\pi\) | ||||
−0.960756 | + | 0.277395i | \(0.910529\pi\) | |||||||
\(30\) | 3.12799 | + | 4.31624i | 0.571091 | + | 0.788035i | ||||
\(31\) | 4.90706 | − | 8.49927i | 0.881334 | − | 1.52651i | 0.0314744 | − | 0.999505i | \(-0.489980\pi\) |
0.849859 | − | 0.527010i | \(-0.176687\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 6.17277 | − | 4.47342i | 1.07454 | − | 0.778722i | ||||
\(34\) | − | 5.04418i | − | 0.865070i | ||||||
\(35\) | −6.39443 | + | 5.04097i | −1.08086 | + | 0.852079i | ||||
\(36\) | 2.93594 | − | 0.616659i | 0.489323 | − | 0.102776i | ||||
\(37\) | 0.921124 | − | 0.531811i | 0.151432 | − | 0.0874292i | −0.422369 | − | 0.906424i | \(-0.638802\pi\) |
0.573801 | + | 0.818995i | \(0.305468\pi\) | |||||||
\(38\) | 1.55046 | − | 2.68548i | 0.251518 | − | 0.435643i | ||||
\(39\) | −6.04392 | − | 2.69966i | −0.967801 | − | 0.432292i | ||||
\(40\) | −2.66525 | + | 1.53878i | −0.421414 | + | 0.243303i | ||||
\(41\) | − | 4.96539i | − | 0.775464i | −0.921772 | − | 0.387732i | \(-0.873259\pi\) | ||
0.921772 | − | 0.387732i | \(-0.126741\pi\) | |||||||
\(42\) | 1.12266 | + | 4.44293i | 0.173231 | + | 0.685559i | ||||
\(43\) | 4.16427i | 0.635046i | 0.948251 | + | 0.317523i | \(0.102851\pi\) | ||||
−0.948251 | + | 0.317523i | \(0.897149\pi\) | |||||||
\(44\) | 2.20065 | + | 3.81164i | 0.331761 | + | 0.574627i | ||||
\(45\) | −2.87423 | + | 8.77392i | −0.428464 | + | 1.30794i | ||||
\(46\) | 1.86767 | + | 4.41722i | 0.275373 | + | 0.651283i | ||||
\(47\) | −9.79033 | + | 5.65245i | −1.42807 | + | 0.824495i | −0.996968 | − | 0.0778099i | \(-0.975207\pi\) |
−0.431099 | + | 0.902305i | \(0.641874\pi\) | |||||||
\(48\) | 0.178972 | + | 1.72278i | 0.0258324 | + | 0.248662i | ||||
\(49\) | −6.71174 | + | 1.98811i | −0.958819 | + | 0.284016i | ||||
\(50\) | − | 4.47144i | − | 0.632357i | ||||||
\(51\) | 7.07439 | − | 5.12682i | 0.990612 | − | 0.717899i | ||||
\(52\) | 1.91087 | − | 3.30972i | 0.264990 | − | 0.458976i | ||||
\(53\) | 2.59692 | − | 4.49800i | 0.356715 | − | 0.617848i | −0.630695 | − | 0.776031i | \(-0.717230\pi\) |
0.987410 | + | 0.158182i | \(0.0505634\pi\) | |||||||
\(54\) | 3.84889 | + | 3.49085i | 0.523768 | + | 0.475044i | ||||
\(55\) | −13.5453 | −1.82645 | ||||||||
\(56\) | −2.61837 | + | 0.379647i | −0.349895 | + | 0.0507325i | ||||
\(57\) | 5.34221 | − | 0.554979i | 0.707593 | − | 0.0735088i | ||||
\(58\) | −1.49382 | − | 2.58737i | −0.196148 | − | 0.339739i | ||||
\(59\) | 8.75632 | + | 5.05546i | 1.13998 | + | 0.658165i | 0.946424 | − | 0.322925i | \(-0.104666\pi\) |
0.193551 | + | 0.981090i | \(0.438000\pi\) | |||||||
\(60\) | −4.86704 | − | 2.17398i | −0.628333 | − | 0.280660i | ||||
\(61\) | −2.22589 | + | 1.28512i | −0.284996 | + | 0.164543i | −0.635683 | − | 0.771950i | \(-0.719281\pi\) |
0.350687 | + | 0.936493i | \(0.385948\pi\) | |||||||
\(62\) | 9.81411i | 1.24639i | ||||||||
\(63\) | −5.09008 | + | 6.09024i | −0.641290 | + | 0.767298i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 5.88084 | + | 10.1859i | 0.729428 | + | 1.26341i | ||||
\(66\) | −3.10906 | + | 6.96048i | −0.382699 | + | 0.856775i | ||||
\(67\) | −2.97353 | − | 1.71677i | −0.363274 | − | 0.209736i | 0.307242 | − | 0.951631i | \(-0.400594\pi\) |
−0.670516 | + | 0.741895i | \(0.733927\pi\) | |||||||
\(68\) | 2.52209 | + | 4.36839i | 0.305848 | + | 0.529745i | ||||
\(69\) | −4.29681 | + | 7.10897i | −0.517276 | + | 0.855819i | ||||
\(70\) | 3.01725 | − | 7.56282i | 0.360631 | − | 0.903930i | ||||
\(71\) | − | 9.54983i | − | 1.13336i | −0.823939 | − | 0.566678i | \(-0.808228\pi\) | ||
0.823939 | − | 0.566678i | \(-0.191772\pi\) | |||||||
\(72\) | −2.23427 | + | 2.00201i | −0.263311 | + | 0.235939i | ||||
\(73\) | −5.38750 | + | 9.33143i | −0.630559 | + | 1.09216i | 0.356878 | + | 0.934151i | \(0.383841\pi\) |
−0.987438 | + | 0.158010i | \(0.949492\pi\) | |||||||
\(74\) | −0.531811 | + | 0.921124i | −0.0618218 | + | 0.107078i | ||||
\(75\) | 6.27112 | − | 4.54470i | 0.724127 | − | 0.524776i | ||||
\(76\) | 3.10093i | 0.355701i | ||||||||
\(77\) | −10.8158 | − | 4.31505i | −1.23257 | − | 0.491745i | ||||
\(78\) | 6.58402 | − | 0.683984i | 0.745493 | − | 0.0774460i | ||||
\(79\) | −2.71811 | + | 1.56930i | −0.305811 | + | 0.176560i | −0.645051 | − | 0.764140i | \(-0.723164\pi\) |
0.339239 | + | 0.940700i | \(0.389830\pi\) | |||||||
\(80\) | 1.53878 | − | 2.66525i | 0.172041 | − | 0.297984i | ||||
\(81\) | −0.983904 | + | 8.94606i | −0.109323 | + | 0.994006i | ||||
\(82\) | 2.48270 | + | 4.30015i | 0.274168 | + | 0.474873i | ||||
\(83\) | −8.64133 | −0.948509 | −0.474255 | − | 0.880388i | \(-0.657282\pi\) | ||||
−0.474255 | + | 0.880388i | \(0.657282\pi\) | |||||||
\(84\) | −3.19372 | − | 3.28636i | −0.348463 | − | 0.358571i | ||||
\(85\) | −15.5238 | −1.68379 | ||||||||
\(86\) | −2.08214 | − | 3.60637i | −0.224523 | − | 0.388884i | ||||
\(87\) | 2.11046 | − | 4.72482i | 0.226265 | − | 0.506554i | ||||
\(88\) | −3.81164 | − | 2.20065i | −0.406323 | − | 0.234590i | ||||
\(89\) | −0.175628 | − | 0.304196i | −0.0186165 | − | 0.0322447i | 0.856567 | − | 0.516036i | \(-0.172593\pi\) |
−0.875184 | + | 0.483791i | \(0.839259\pi\) | |||||||
\(90\) | −1.89781 | − | 9.03555i | −0.200047 | − | 0.952431i | ||||
\(91\) | 1.45091 | + | 10.0067i | 0.152097 | + | 1.04899i | ||||
\(92\) | −3.82606 | − | 2.89159i | −0.398894 | − | 0.301469i | ||||
\(93\) | −13.7641 | + | 9.97491i | −1.42728 | + | 1.03435i | ||||
\(94\) | 5.65245 | − | 9.79033i | 0.583006 | − | 1.00980i | ||||
\(95\) | −8.26476 | − | 4.77166i | −0.847946 | − | 0.489562i | ||||
\(96\) | −1.01638 | − | 1.40248i | −0.103734 | − | 0.143141i | ||||
\(97\) | 16.3857i | 1.66372i | 0.554989 | + | 0.831858i | \(0.312723\pi\) | ||||
−0.554989 | + | 0.831858i | \(0.687277\pi\) | |||||||
\(98\) | 4.81848 | − | 5.07763i | 0.486740 | − | 0.512918i | ||||
\(99\) | −12.9220 | + | 2.71410i | −1.29871 | + | 0.272778i | ||||
\(100\) | 2.23572 | + | 3.87238i | 0.223572 | + | 0.387238i | ||||
\(101\) | 12.1304 | + | 7.00352i | 1.20702 | + | 0.696876i | 0.962108 | − | 0.272668i | \(-0.0879061\pi\) |
0.244917 | + | 0.969544i | \(0.421239\pi\) | |||||||
\(102\) | −3.56319 | + | 7.97715i | −0.352808 | + | 0.789856i | ||||
\(103\) | 0.310672 | − | 0.179367i | 0.0306114 | − | 0.0176735i | −0.484616 | − | 0.874727i | \(-0.661041\pi\) |
0.515228 | + | 0.857053i | \(0.327707\pi\) | |||||||
\(104\) | 3.82174i | 0.374752i | ||||||||
\(105\) | 13.6734 | − | 3.45508i | 1.33439 | − | 0.337181i | ||||
\(106\) | 5.19385i | 0.504471i | ||||||||
\(107\) | −2.57772 | − | 4.46475i | −0.249198 | − | 0.431623i | 0.714106 | − | 0.700038i | \(-0.246834\pi\) |
−0.963303 | + | 0.268415i | \(0.913500\pi\) | |||||||
\(108\) | −5.07866 | − | 1.09871i | −0.488695 | − | 0.105724i | ||||
\(109\) | −8.92907 | − | 5.15520i | −0.855250 | − | 0.493779i | 0.00716890 | − | 0.999974i | \(-0.497718\pi\) |
−0.862419 | + | 0.506196i | \(0.831051\pi\) | |||||||
\(110\) | 11.7306 | − | 6.77266i | 1.11847 | − | 0.645748i | ||||
\(111\) | −1.83239 | + | 0.190359i | −0.173922 | + | 0.0180680i | ||||
\(112\) | 2.07775 | − | 1.63797i | 0.196329 | − | 0.154774i | ||||
\(113\) | 14.9630 | 1.40760 | 0.703800 | − | 0.710398i | \(-0.251485\pi\) | ||||
0.703800 | + | 0.710398i | \(0.251485\pi\) | |||||||
\(114\) | −4.34900 | + | 3.15173i | −0.407321 | + | 0.295187i | ||||
\(115\) | 13.5943 | − | 5.74788i | 1.26767 | − | 0.535992i | ||||
\(116\) | 2.58737 | + | 1.49382i | 0.240231 | + | 0.138698i | ||||
\(117\) | 7.65117 | + | 8.53879i | 0.707351 | + | 0.789411i | ||||
\(118\) | −10.1109 | −0.930786 | ||||||||
\(119\) | −12.3956 | − | 4.94532i | −1.13630 | − | 0.453337i | ||||
\(120\) | 5.30197 | − | 0.550799i | 0.484002 | − | 0.0502808i | ||||
\(121\) | −4.18575 | − | 7.24993i | −0.380523 | − | 0.659085i | ||||
\(122\) | 1.28512 | − | 2.22589i | 0.116349 | − | 0.201523i | ||||
\(123\) | −3.50753 | + | 7.85255i | −0.316263 | + | 0.708041i | ||||
\(124\) | −4.90706 | − | 8.49927i | −0.440667 | − | 0.763257i | ||||
\(125\) | 1.62669 | 0.145496 | ||||||||
\(126\) | 1.36302 | − | 7.81935i | 0.121428 | − | 0.696603i | ||||
\(127\) | −9.98686 | −0.886191 | −0.443095 | − | 0.896475i | \(-0.646120\pi\) | ||||
−0.443095 | + | 0.896475i | \(0.646120\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 2.94162 | − | 6.58562i | 0.258995 | − | 0.579831i | ||||
\(130\) | −10.1859 | − | 5.88084i | −0.893363 | − | 0.515783i | ||||
\(131\) | −4.44217 | + | 2.56469i | −0.388114 | + | 0.224078i | −0.681343 | − | 0.731965i | \(-0.738604\pi\) |
0.293229 | + | 0.956042i | \(0.405270\pi\) | |||||||
\(132\) | −0.787711 | − | 7.58248i | −0.0685614 | − | 0.659970i | ||||
\(133\) | −5.07922 | − | 6.44296i | −0.440425 | − | 0.558675i | ||||
\(134\) | 3.43353 | 0.296612 | ||||||||
\(135\) | 10.7433 | − | 11.8452i | 0.924638 | − | 1.01948i | ||||
\(136\) | −4.36839 | − | 2.52209i | −0.374586 | − | 0.216267i | ||||
\(137\) | 7.07976 | − | 12.2625i | 0.604864 | − | 1.04766i | −0.387208 | − | 0.921992i | \(-0.626561\pi\) |
0.992073 | − | 0.125664i | \(-0.0401061\pi\) | |||||||
\(138\) | 0.166668 | − | 8.30495i | 0.0141877 | − | 0.706964i | ||||
\(139\) | 3.53316 | 0.299678 | 0.149839 | − | 0.988710i | \(-0.452124\pi\) | ||||
0.149839 | + | 0.988710i | \(0.452124\pi\) | |||||||
\(140\) | 1.16839 | + | 8.05822i | 0.0987471 | + | 0.681044i | ||||
\(141\) | 19.4759 | − | 2.02326i | 1.64016 | − | 0.170389i | ||||
\(142\) | 4.77491 | + | 8.27039i | 0.400702 | + | 0.694036i | ||||
\(143\) | −8.41032 | + | 14.5671i | −0.703307 | + | 1.21816i | ||||
\(144\) | 0.933927 | − | 2.85093i | 0.0778273 | − | 0.237577i | ||||
\(145\) | −7.96282 | + | 4.59734i | −0.661276 | + | 0.381788i | ||||
\(146\) | − | 10.7750i | − | 0.891746i | ||||||
\(147\) | 12.0187 | + | 1.59702i | 0.991287 | + | 0.131720i | ||||
\(148\) | − | 1.06362i | − | 0.0874292i | ||||||
\(149\) | −8.36840 | − | 14.4945i | −0.685566 | − | 1.18744i | −0.973259 | − | 0.229712i | \(-0.926221\pi\) |
0.287692 | − | 0.957723i | \(-0.407112\pi\) | |||||||
\(150\) | −3.15860 | + | 7.07138i | −0.257899 | + | 0.577376i | ||||
\(151\) | 0.793561 | − | 1.37449i | 0.0645791 | − | 0.111854i | −0.831928 | − | 0.554883i | \(-0.812763\pi\) |
0.896507 | + | 0.443029i | \(0.146096\pi\) | |||||||
\(152\) | −1.55046 | − | 2.68548i | −0.125759 | − | 0.217821i | ||||
\(153\) | −14.8094 | + | 3.11054i | −1.19727 | + | 0.251472i | ||||
\(154\) | 11.5243 | − | 1.67094i | 0.928651 | − | 0.134649i | ||||
\(155\) | 30.2036 | 2.42601 | ||||||||
\(156\) | −5.35993 | + | 3.88436i | −0.429138 | + | 0.310997i | ||||
\(157\) | 17.6982 | + | 10.2181i | 1.41247 | + | 0.815491i | 0.995621 | − | 0.0934845i | \(-0.0298006\pi\) |
0.416850 | + | 0.908975i | \(0.363134\pi\) | |||||||
\(158\) | 1.56930 | − | 2.71811i | 0.124847 | − | 0.216241i | ||||
\(159\) | −7.28429 | + | 5.27894i | −0.577682 | + | 0.418647i | ||||
\(160\) | 3.07757i | 0.243303i | ||||||||
\(161\) | 12.6859 | − | 0.258958i | 0.999792 | − | 0.0204087i | ||||
\(162\) | −3.62094 | − | 8.23946i | −0.284488 | − | 0.647353i | ||||
\(163\) | 3.30511 | + | 5.72462i | 0.258876 | + | 0.448387i | 0.965941 | − | 0.258762i | \(-0.0833145\pi\) |
−0.707065 | + | 0.707149i | \(0.749981\pi\) | |||||||
\(164\) | −4.30015 | − | 2.48270i | −0.335786 | − | 0.193866i | ||||
\(165\) | 21.4214 | + | 9.56836i | 1.66765 | + | 0.744896i | ||||
\(166\) | 7.48361 | − | 4.32066i | 0.580841 | − | 0.335349i | ||||
\(167\) | 19.7950i | 1.53179i | 0.642968 | + | 0.765893i | \(0.277703\pi\) | ||||
−0.642968 | + | 0.765893i | \(0.722297\pi\) | |||||||
\(168\) | 4.40902 | + | 1.24921i | 0.340163 | + | 0.0963786i | ||||
\(169\) | 1.60570 | 0.123515 | ||||||||
\(170\) | 13.4440 | − | 7.76191i | 1.03111 | − | 0.595311i | ||||
\(171\) | −8.84051 | − | 2.89604i | −0.676051 | − | 0.221466i | ||||
\(172\) | 3.60637 | + | 2.08214i | 0.274983 | + | 0.158761i | ||||
\(173\) | 14.9303 | − | 8.62002i | 1.13513 | − | 0.655368i | 0.189911 | − | 0.981801i | \(-0.439180\pi\) |
0.945220 | + | 0.326433i | \(0.105847\pi\) | |||||||
\(174\) | 0.534704 | + | 5.14704i | 0.0405358 | + | 0.390196i | ||||
\(175\) | −10.9881 | − | 4.38380i | −0.830623 | − | 0.331384i | ||||
\(176\) | 4.40131 | 0.331761 | ||||||||
\(177\) | −10.2766 | − | 14.1804i | −0.772435 | − | 1.06587i | ||||
\(178\) | 0.304196 | + | 0.175628i | 0.0228005 | + | 0.0131638i | ||||
\(179\) | 9.22798 | + | 5.32777i | 0.689731 | + | 0.398217i | 0.803511 | − | 0.595289i | \(-0.202963\pi\) |
−0.113780 | + | 0.993506i | \(0.536296\pi\) | |||||||
\(180\) | 6.16133 | + | 6.87611i | 0.459238 | + | 0.512515i | ||||
\(181\) | − | 25.8661i | − | 1.92261i | −0.275481 | − | 0.961306i | \(-0.588837\pi\) | ||
0.275481 | − | 0.961306i | \(-0.411163\pi\) | |||||||
\(182\) | −6.25989 | − | 7.94063i | −0.464014 | − | 0.588599i | ||||
\(183\) | 4.42795 | − | 0.460001i | 0.327324 | − | 0.0340042i | ||||
\(184\) | 4.75926 | + | 0.591162i | 0.350857 | + | 0.0435810i | ||||
\(185\) | 2.83482 | + | 1.63669i | 0.208420 | + | 0.120332i | ||||
\(186\) | 6.93265 | − | 15.5206i | 0.508326 | − | 1.13803i | ||||
\(187\) | −11.1005 | − | 19.2266i | −0.811748 | − | 1.40599i | ||||
\(188\) | 11.3049i | 0.824495i | ||||||||
\(189\) | 12.3519 | − | 6.03584i | 0.898466 | − | 0.439043i | ||||
\(190\) | 9.54332 | 0.692345 | ||||||||
\(191\) | −7.91755 | − | 13.7136i | −0.572894 | − | 0.992281i | −0.996267 | − | 0.0863258i | \(-0.972487\pi\) |
0.423373 | − | 0.905955i | \(-0.360846\pi\) | |||||||
\(192\) | 1.58146 | + | 0.706395i | 0.114132 | + | 0.0509797i | ||||
\(193\) | −11.6949 | + | 20.2562i | −0.841818 | + | 1.45807i | 0.0465385 | + | 0.998916i | \(0.485181\pi\) |
−0.888356 | + | 0.459155i | \(0.848152\pi\) | |||||||
\(194\) | −8.19285 | − | 14.1904i | −0.588212 | − | 1.01881i | ||||
\(195\) | −2.10501 | − | 20.2628i | −0.150743 | − | 1.45105i | ||||
\(196\) | −1.63411 | + | 6.80659i | −0.116722 | + | 0.486185i | ||||
\(197\) | 9.03343i | 0.643605i | 0.946807 | + | 0.321803i | \(0.104289\pi\) | ||||
−0.946807 | + | 0.321803i | \(0.895711\pi\) | |||||||
\(198\) | 9.83370 | − | 8.81146i | 0.698850 | − | 0.626203i | ||||
\(199\) | −1.13615 | − | 0.655958i | −0.0805398 | − | 0.0464997i | 0.459189 | − | 0.888338i | \(-0.348140\pi\) |
−0.539729 | + | 0.841839i | \(0.681473\pi\) | |||||||
\(200\) | −3.87238 | − | 2.23572i | −0.273818 | − | 0.158089i | ||||
\(201\) | 3.48979 | + | 4.81548i | 0.246151 | + | 0.339658i | ||||
\(202\) | −14.0070 | −0.985531 | ||||||||
\(203\) | −7.82275 | + | 1.13425i | −0.549049 | + | 0.0796087i | ||||
\(204\) | −0.902767 | − | 8.69001i | −0.0632063 | − | 0.608422i | ||||
\(205\) | 13.2340 | − | 7.64067i | 0.924305 | − | 0.533647i | ||||
\(206\) | −0.179367 | + | 0.310672i | −0.0124971 | + | 0.0216456i | ||||
\(207\) | 11.8170 | − | 8.20727i | 0.821336 | − | 0.570445i | ||||
\(208\) | −1.91087 | − | 3.30972i | −0.132495 | − | 0.229488i | ||||
\(209\) | − | 13.6481i | − | 0.944061i | ||||||
\(210\) | −10.1140 | + | 9.82890i | −0.697932 | + | 0.678258i | ||||
\(211\) | 11.1259 | 0.765937 | 0.382969 | − | 0.923761i | \(-0.374902\pi\) | ||||
0.382969 | + | 0.923761i | \(0.374902\pi\) | |||||||
\(212\) | −2.59692 | − | 4.49800i | −0.178357 | − | 0.308924i | ||||
\(213\) | −6.74596 | + | 15.1026i | −0.462225 | + | 1.03482i | ||||
\(214\) | 4.46475 | + | 2.57772i | 0.305204 | + | 0.176209i | ||||
\(215\) | −11.0988 | + | 6.40792i | −0.756935 | + | 0.437017i | ||||
\(216\) | 4.94761 | − | 1.58782i | 0.336642 | − | 0.108037i | ||||
\(217\) | 24.1172 | + | 9.62177i | 1.63718 | + | 0.653168i | ||||
\(218\) | 10.3104 | 0.698309 | ||||||||
\(219\) | 15.1118 | − | 10.9515i | 1.02116 | − | 0.740037i | ||||
\(220\) | −6.77266 | + | 11.7306i | −0.456613 | + | 0.790877i | ||||
\(221\) | −9.63877 | + | 16.6948i | −0.648374 | + | 1.12302i | ||||
\(222\) | 1.49171 | − | 1.08105i | 0.100117 | − | 0.0725552i | ||||
\(223\) | 10.0607 | 0.673712 | 0.336856 | − | 0.941556i | \(-0.390636\pi\) | ||||
0.336856 | + | 0.941556i | \(0.390636\pi\) | |||||||
\(224\) | −0.980401 | + | 2.45740i | −0.0655058 | + | 0.164192i | ||||
\(225\) | −13.1279 | + | 2.75735i | −0.875191 | + | 0.183823i | ||||
\(226\) | −12.9583 | + | 7.48150i | −0.861976 | + | 0.497662i | ||||
\(227\) | −13.6383 | + | 23.6222i | −0.905205 | + | 1.56786i | −0.0845638 | + | 0.996418i | \(0.526950\pi\) |
−0.820641 | + | 0.571443i | \(0.806384\pi\) | |||||||
\(228\) | 2.19048 | − | 4.90398i | 0.145068 | − | 0.324774i | ||||
\(229\) | 1.48222 | − | 0.855761i | 0.0979480 | − | 0.0565503i | −0.450226 | − | 0.892915i | \(-0.648657\pi\) |
0.548174 | + | 0.836364i | \(0.315323\pi\) | |||||||
\(230\) | −8.89907 | + | 11.7750i | −0.586787 | + | 0.776418i | ||||
\(231\) | 14.0565 | + | 14.4643i | 0.924853 | + | 0.951679i | ||||
\(232\) | −2.98764 | −0.196148 | ||||||||
\(233\) | −2.47869 | + | 1.43108i | −0.162385 | + | 0.0937528i | −0.578990 | − | 0.815335i | \(-0.696553\pi\) |
0.416605 | + | 0.909087i | \(0.363220\pi\) | |||||||
\(234\) | −10.8955 | − | 3.56923i | −0.712261 | − | 0.233328i | ||||
\(235\) | −30.1304 | − | 17.3958i | −1.96549 | − | 1.13478i | ||||
\(236\) | 8.75632 | − | 5.05546i | 0.569988 | − | 0.329082i | ||||
\(237\) | 5.40712 | − | 0.561722i | 0.351230 | − | 0.0364878i | ||||
\(238\) | 13.2075 | − | 1.91501i | 0.856117 | − | 0.124132i | ||||
\(239\) | − | 20.2584i | − | 1.31041i | −0.755451 | − | 0.655205i | \(-0.772582\pi\) | ||
0.755451 | − | 0.655205i | \(-0.227418\pi\) | |||||||
\(240\) | −4.31624 | + | 3.12799i | −0.278612 | + | 0.201911i | ||||
\(241\) | −2.64764 | − | 1.52862i | −0.170549 | − | 0.0984668i | 0.412295 | − | 0.911050i | \(-0.364727\pi\) |
−0.582845 | + | 0.812583i | \(0.698060\pi\) | |||||||
\(242\) | 7.24993 | + | 4.18575i | 0.466043 | + | 0.269070i | ||||
\(243\) | 7.87545 | − | 13.4528i | 0.505211 | − | 0.862996i | ||||
\(244\) | 2.57024i | 0.164543i | ||||||||
\(245\) | −15.6267 | − | 14.8292i | −0.998356 | − | 0.947403i | ||||
\(246\) | −0.888666 | − | 8.55427i | −0.0566593 | − | 0.545401i | ||||
\(247\) | −10.2632 | + | 5.92547i | −0.653032 | + | 0.377028i | ||||
\(248\) | 8.49927 | + | 4.90706i | 0.539704 | + | 0.311598i | ||||
\(249\) | 13.6659 | + | 6.10420i | 0.866040 | + | 0.386838i | ||||
\(250\) | −1.40876 | + | 0.813346i | −0.0890976 | + | 0.0514405i | ||||
\(251\) | 24.0931 | 1.52074 | 0.760371 | − | 0.649489i | \(-0.225017\pi\) | ||||
0.760371 | + | 0.649489i | \(0.225017\pi\) | |||||||
\(252\) | 2.72926 | + | 7.45326i | 0.171927 | + | 0.469511i | ||||
\(253\) | 16.8396 | + | 12.7268i | 1.05870 | + | 0.800125i | ||||
\(254\) | 8.64888 | − | 4.99343i | 0.542679 | − | 0.313316i | ||||
\(255\) | 24.5502 | + | 10.9660i | 1.53740 | + | 0.686715i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −12.7268 | + | 7.34781i | −0.793875 | + | 0.458344i | −0.841325 | − | 0.540530i | \(-0.818224\pi\) |
0.0474500 | + | 0.998874i | \(0.484891\pi\) | |||||||
\(258\) | 0.745288 | + | 7.17412i | 0.0463996 | + | 0.446641i | ||||
\(259\) | 1.74218 | + | 2.20994i | 0.108254 | + | 0.137319i | ||||
\(260\) | 11.7617 | 0.729428 | ||||||||
\(261\) | −6.67519 | + | 5.98129i | −0.413184 | + | 0.370232i | ||||
\(262\) | 2.56469 | − | 4.44217i | 0.158447 | − | 0.274438i | ||||
\(263\) | −5.73754 | + | 9.93770i | −0.353792 | + | 0.612785i | −0.986910 | − | 0.161270i | \(-0.948441\pi\) |
0.633119 | + | 0.774055i | \(0.281774\pi\) | |||||||
\(264\) | 4.47342 | + | 6.17277i | 0.275320 | + | 0.379907i | ||||
\(265\) | 15.9844 | 0.981916 | ||||||||
\(266\) | 7.62022 | + | 3.04015i | 0.467225 | + | 0.186404i | ||||
\(267\) | 0.0628649 | + | 0.605135i | 0.00384727 | + | 0.0370337i | ||||
\(268\) | −2.97353 | + | 1.71677i | −0.181637 | + | 0.104868i | ||||
\(269\) | 5.99245 | + | 3.45974i | 0.365366 | + | 0.210944i | 0.671432 | − | 0.741066i | \(-0.265680\pi\) |
−0.306066 | + | 0.952010i | \(0.599013\pi\) | |||||||
\(270\) | −3.38137 | + | 15.6299i | −0.205784 | + | 0.951208i | ||||
\(271\) | 11.7984 | + | 20.4355i | 0.716704 | + | 1.24137i | 0.962299 | + | 0.271995i | \(0.0876834\pi\) |
−0.245595 | + | 0.969373i | \(0.578983\pi\) | |||||||
\(272\) | 5.04418 | 0.305848 | ||||||||
\(273\) | 4.77415 | − | 16.8501i | 0.288945 | − | 1.01982i | ||||
\(274\) | 14.1595i | 0.855408i | ||||||||
\(275\) | −9.84008 | − | 17.0435i | −0.593379 | − | 1.02776i | ||||
\(276\) | 4.00814 | + | 7.27563i | 0.241262 | + | 0.437942i | ||||
\(277\) | 1.87920 | − | 3.25487i | 0.112910 | − | 0.195566i | −0.804032 | − | 0.594586i | \(-0.797316\pi\) |
0.916942 | + | 0.399019i | \(0.130649\pi\) | |||||||
\(278\) | −3.05980 | + | 1.76658i | −0.183515 | + | 0.105952i | ||||
\(279\) | 28.8136 | − | 6.05196i | 1.72503 | − | 0.362321i | ||||
\(280\) | −5.04097 | − | 6.39443i | −0.301255 | − | 0.382140i | ||||
\(281\) | 10.8110 | 0.644931 | 0.322466 | − | 0.946581i | \(-0.395488\pi\) | ||||
0.322466 | + | 0.946581i | \(0.395488\pi\) | |||||||
\(282\) | −15.8550 | + | 11.4901i | −0.944149 | + | 0.684227i | ||||
\(283\) | 8.71160 | + | 5.02964i | 0.517851 | + | 0.298981i | 0.736055 | − | 0.676922i | \(-0.236687\pi\) |
−0.218204 | + | 0.975903i | \(0.570020\pi\) | |||||||
\(284\) | −8.27039 | − | 4.77491i | −0.490758 | − | 0.283339i | ||||
\(285\) | 9.69968 | + | 13.3844i | 0.574559 | + | 0.792821i | ||||
\(286\) | − | 16.8206i | − | 0.994626i | ||||||
\(287\) | 13.0012 | − | 1.88510i | 0.767439 | − | 0.111274i | ||||
\(288\) | 0.616659 | + | 2.93594i | 0.0363370 | + | 0.173002i | ||||
\(289\) | −4.22188 | − | 7.31251i | −0.248346 | − | 0.430147i | ||||
\(290\) | 4.59734 | − | 7.96282i | 0.269965 | − | 0.467593i | ||||
\(291\) | 11.5748 | − | 25.9133i | 0.678526 | − | 1.51906i | ||||
\(292\) | 5.38750 | + | 9.33143i | 0.315280 | + | 0.546080i | ||||
\(293\) | −20.3492 | −1.18881 | −0.594405 | − | 0.804166i | \(-0.702612\pi\) | ||||
−0.594405 | + | 0.804166i | \(0.702612\pi\) | |||||||
\(294\) | −11.2070 | + | 4.62630i | −0.653607 | + | 0.269811i | ||||
\(295\) | 31.1171i | 1.81171i | ||||||||
\(296\) | 0.531811 | + | 0.921124i | 0.0309109 | + | 0.0535392i | ||||
\(297\) | 22.3528 | + | 4.83578i | 1.29704 | + | 0.280600i | ||||
\(298\) | 14.4945 | + | 8.36840i | 0.839644 | + | 0.484768i | ||||
\(299\) | 2.25927 | − | 18.1886i | 0.130657 | − | 1.05188i | ||||
\(300\) | −0.800262 | − | 7.70330i | −0.0462031 | − | 0.444750i | ||||
\(301\) | −10.9036 | + | 1.58095i | −0.628474 | + | 0.0911247i | ||||
\(302\) | 1.58712i | 0.0913286i | ||||||||
\(303\) | −14.2365 | − | 19.6447i | −0.817867 | − | 1.12856i | ||||
\(304\) | 2.68548 | + | 1.55046i | 0.154023 | + | 0.0889252i | ||||
\(305\) | −6.85034 | − | 3.95504i | −0.392249 | − | 0.226465i | ||||
\(306\) | 11.2700 | − | 10.0985i | 0.644266 | − | 0.577293i | ||||
\(307\) | −24.7883 | −1.41474 | −0.707371 | − | 0.706842i | \(-0.750119\pi\) | ||||
−0.707371 | + | 0.706842i | \(0.750119\pi\) | |||||||
\(308\) | −9.14483 | + | 7.20921i | −0.521075 | + | 0.410783i | ||||
\(309\) | −0.618018 | + | 0.0642032i | −0.0351578 | + | 0.00365239i | ||||
\(310\) | −26.1571 | + | 15.1018i | −1.48562 | + | 0.857725i | ||||
\(311\) | 11.1110 | + | 6.41495i | 0.630049 | + | 0.363759i | 0.780771 | − | 0.624817i | \(-0.214827\pi\) |
−0.150722 | + | 0.988576i | \(0.548160\pi\) | |||||||
\(312\) | 2.69966 | − | 6.04392i | 0.152838 | − | 0.342169i | ||||
\(313\) | 1.79490 | − | 1.03629i | 0.101454 | − | 0.0585743i | −0.448415 | − | 0.893826i | \(-0.648011\pi\) |
0.549868 | + | 0.835251i | \(0.314678\pi\) | |||||||
\(314\) | −20.4361 | −1.15328 | ||||||||
\(315\) | −24.0646 | − | 4.19479i | −1.35589 | − | 0.236350i | ||||
\(316\) | 3.13860i | 0.176560i | ||||||||
\(317\) | −6.72351 | + | 3.88182i | −0.377630 | + | 0.218025i | −0.676787 | − | 0.736179i | \(-0.736628\pi\) |
0.299157 | + | 0.954204i | \(0.403295\pi\) | |||||||
\(318\) | 3.66891 | − | 8.21385i | 0.205742 | − | 0.460610i | ||||
\(319\) | −11.3878 | − | 6.57476i | −0.637595 | − | 0.368116i | ||||
\(320\) | −1.53878 | − | 2.66525i | −0.0860207 | − | 0.148992i | ||||
\(321\) | 0.922680 | + | 8.88169i | 0.0514990 | + | 0.495728i | ||||
\(322\) | −10.8569 | + | 6.56723i | −0.605029 | + | 0.365977i | ||||
\(323\) | − | 15.6416i | − | 0.870324i | ||||||
\(324\) | 7.25556 | + | 5.32511i | 0.403087 | + | 0.295840i | ||||
\(325\) | −8.54433 | + | 14.7992i | −0.473954 | + | 0.820913i | ||||
\(326\) | −5.72462 | − | 3.30511i | −0.317057 | − | 0.183053i | ||||
\(327\) | 10.4793 | + | 14.4602i | 0.579508 | + | 0.799650i | ||||
\(328\) | 4.96539 | 0.274168 | ||||||||
\(329\) | −18.5171 | − | 23.4888i | −1.02088 | − | 1.29498i | ||||
\(330\) | −23.3356 | + | 2.42423i | −1.28458 | + | 0.133450i | ||||
\(331\) | −11.8453 | − | 20.5166i | −0.651075 | − | 1.12769i | −0.982863 | − | 0.184340i | \(-0.940985\pi\) |
0.331788 | − | 0.943354i | \(-0.392348\pi\) | |||||||
\(332\) | −4.32066 | + | 7.48361i | −0.237127 | + | 0.410716i | ||||
\(333\) | 3.03231 | + | 0.993346i | 0.166170 | + | 0.0544350i | ||||
\(334\) | −9.89751 | − | 17.1430i | −0.541568 | − | 0.938023i | ||||
\(335\) | − | 10.5669i | − | 0.577334i | ||||||
\(336\) | −4.44293 | + | 1.12266i | −0.242382 | + | 0.0612463i | ||||
\(337\) | − | 15.6832i | − | 0.854320i | −0.904176 | − | 0.427160i | \(-0.859514\pi\) | ||
0.904176 | − | 0.427160i | \(-0.140486\pi\) | |||||||
\(338\) | −1.39057 | + | 0.802849i | −0.0756373 | + | 0.0436692i | ||||
\(339\) | −23.6633 | − | 10.5698i | −1.28522 | − | 0.574072i | ||||
\(340\) | −7.76191 | + | 13.4440i | −0.420949 | + | 0.729104i | ||||
\(341\) | 21.5975 | + | 37.4079i | 1.16957 | + | 2.02575i | ||||
\(342\) | 9.10413 | − | 1.91221i | 0.492295 | − | 0.103401i | ||||
\(343\) | −7.75372 | − | 16.8190i | −0.418661 | − | 0.908142i | ||||
\(344\) | −4.16427 | −0.224523 | ||||||||
\(345\) | −25.5591 | − | 0.512932i | −1.37605 | − | 0.0276153i | ||||
\(346\) | −8.62002 | + | 14.9303i | −0.463415 | + | 0.802659i | ||||
\(347\) | −11.1697 | − | 6.44883i | −0.599621 | − | 0.346191i | 0.169272 | − | 0.985569i | \(-0.445858\pi\) |
−0.768892 | + | 0.639378i | \(0.779192\pi\) | |||||||
\(348\) | −3.03659 | − | 4.19012i | −0.162778 | − | 0.224614i | ||||
\(349\) | 10.8173 | 0.579036 | 0.289518 | − | 0.957173i | \(-0.406505\pi\) | ||||
0.289518 | + | 0.957173i | \(0.406505\pi\) | |||||||
\(350\) | 11.7079 | − | 1.69757i | 0.625813 | − | 0.0907389i | ||||
\(351\) | −6.06823 | − | 18.9085i | −0.323898 | − | 1.00926i | ||||
\(352\) | −3.81164 | + | 2.20065i | −0.203161 | + | 0.117295i | ||||
\(353\) | −18.4975 | − | 10.6795i | −0.984520 | − | 0.568413i | −0.0808885 | − | 0.996723i | \(-0.525776\pi\) |
−0.903632 | + | 0.428310i | \(0.859109\pi\) | |||||||
\(354\) | 15.9900 | + | 7.14231i | 0.849858 | + | 0.379609i | ||||
\(355\) | 25.4527 | − | 14.6951i | 1.35089 | − | 0.779937i | ||||
\(356\) | −0.351255 | −0.0186165 | ||||||||
\(357\) | 16.1097 | + | 16.5770i | 0.852616 | + | 0.877347i | ||||
\(358\) | −10.6555 | −0.563163 | ||||||||
\(359\) | 1.49189 | + | 2.58402i | 0.0787387 | + | 0.136379i | 0.902706 | − | 0.430258i | \(-0.141577\pi\) |
−0.823967 | + | 0.566637i | \(0.808244\pi\) | |||||||
\(360\) | −8.77392 | − | 2.87423i | −0.462426 | − | 0.151485i | ||||
\(361\) | −4.69213 | + | 8.12700i | −0.246954 | + | 0.427737i | ||||
\(362\) | 12.9331 | + | 22.4007i | 0.679746 | + | 1.17736i | ||||
\(363\) | 1.49826 | + | 14.4222i | 0.0786385 | + | 0.756972i | ||||
\(364\) | 9.39154 | + | 3.74684i | 0.492251 | + | 0.196388i | ||||
\(365\) | −33.1608 | −1.73572 | ||||||||
\(366\) | −3.60472 | + | 2.61235i | −0.188422 | + | 0.136550i | ||||
\(367\) | −9.45430 | − | 5.45844i | −0.493510 | − | 0.284928i | 0.232519 | − | 0.972592i | \(-0.425303\pi\) |
−0.726030 | + | 0.687664i | \(0.758636\pi\) | |||||||
\(368\) | −4.41722 | + | 1.86767i | −0.230263 | + | 0.0973589i | ||||
\(369\) | 11.0940 | − | 9.94077i | 0.577531 | − | 0.517496i | ||||
\(370\) | −3.27337 | −0.170175 | ||||||||
\(371\) | 12.7634 | + | 5.09206i | 0.662641 | + | 0.264366i | ||||
\(372\) | 1.75645 | + | 16.9076i | 0.0910678 | + | 0.876616i | ||||
\(373\) | 22.7421 | − | 13.1302i | 1.17754 | − | 0.679854i | 0.222097 | − | 0.975025i | \(-0.428710\pi\) |
0.955445 | + | 0.295171i | \(0.0953765\pi\) | |||||||
\(374\) | 19.2266 | + | 11.1005i | 0.994185 | + | 0.573993i | ||||
\(375\) | −2.57254 | − | 1.14909i | −0.132846 | − | 0.0593386i | ||||
\(376\) | −5.65245 | − | 9.79033i | −0.291503 | − | 0.504898i | ||||
\(377\) | 11.4180i | 0.588056i | ||||||||
\(378\) | −7.67911 | + | 11.4031i | −0.394971 | + | 0.586514i | ||||
\(379\) | 3.02838i | 0.155557i | 0.996971 | + | 0.0777787i | \(0.0247828\pi\) | ||||
−0.996971 | + | 0.0777787i | \(0.975217\pi\) | |||||||
\(380\) | −8.26476 | + | 4.77166i | −0.423973 | + | 0.244781i | ||||
\(381\) | 15.7938 | + | 7.05467i | 0.809140 | + | 0.361422i | ||||
\(382\) | 13.7136 | + | 7.91755i | 0.701649 | + | 0.405097i | ||||
\(383\) | 4.12689 | + | 7.14797i | 0.210874 | + | 0.365244i | 0.951988 | − | 0.306134i | \(-0.0990357\pi\) |
−0.741114 | + | 0.671379i | \(0.765702\pi\) | |||||||
\(384\) | −1.72278 | + | 0.178972i | −0.0879152 | + | 0.00913313i | ||||
\(385\) | −5.14245 | − | 35.4667i | −0.262083 | − | 1.80755i | ||||
\(386\) | − | 23.3898i | − | 1.19051i | ||||||
\(387\) | −9.30410 | + | 8.33692i | −0.472954 | + | 0.423789i | ||||
\(388\) | 14.1904 | + | 8.19285i | 0.720410 | + | 0.415929i | ||||
\(389\) | −10.0477 | + | 17.4032i | −0.509441 | + | 0.882377i | 0.490500 | + | 0.871441i | \(0.336814\pi\) |
−0.999940 | + | 0.0109355i | \(0.996519\pi\) | |||||||
\(390\) | 11.9544 | + | 16.4956i | 0.605333 | + | 0.835285i | ||||
\(391\) | 19.2993 | + | 14.5857i | 0.976009 | + | 0.737631i | ||||
\(392\) | −1.98811 | − | 6.71174i | −0.100415 | − | 0.338994i | ||||
\(393\) | 8.83678 | − | 0.918014i | 0.445757 | − | 0.0463077i | ||||
\(394\) | −4.51672 | − | 7.82318i | −0.227549 | − | 0.394126i | ||||
\(395\) | −8.36518 | − | 4.82964i | −0.420898 | − | 0.243005i | ||||
\(396\) | −4.11050 | + | 12.5478i | −0.206560 | + | 0.630551i | ||||
\(397\) | 9.96051 | + | 17.2521i | 0.499903 | + | 0.865858i | 1.00000 | 0.000111500i | \(-3.54916e-5\pi\) | |
−0.500097 | + | 0.865970i | \(0.666702\pi\) | |||||||
\(398\) | 1.31192 | 0.0657604 | ||||||||
\(399\) | 3.48130 | + | 13.7772i | 0.174283 | + | 0.689723i | ||||
\(400\) | 4.47144 | 0.223572 | ||||||||
\(401\) | −5.66903 | − | 9.81905i | −0.283098 | − | 0.490340i | 0.689048 | − | 0.724716i | \(-0.258029\pi\) |
−0.972146 | + | 0.234375i | \(0.924695\pi\) | |||||||
\(402\) | −5.42999 | − | 2.42543i | −0.270823 | − | 0.120970i | ||||
\(403\) | 18.7535 | − | 32.4820i | 0.934178 | − | 1.61804i | ||||
\(404\) | 12.1304 | − | 7.00352i | 0.603512 | − | 0.348438i | ||||
\(405\) | −25.3575 | + | 11.1437i | −1.26003 | + | 0.553735i | ||||
\(406\) | 6.20758 | − | 4.89366i | 0.308077 | − | 0.242868i | ||||
\(407\) | 4.68133i | 0.232045i | ||||||||
\(408\) | 5.12682 | + | 7.07439i | 0.253816 | + | 0.350234i | ||||
\(409\) | 6.27343 | − | 10.8659i | 0.310201 | − | 0.537284i | −0.668205 | − | 0.743977i | \(-0.732937\pi\) |
0.978406 | + | 0.206694i | \(0.0662703\pi\) | |||||||
\(410\) | −7.64067 | + | 13.2340i | −0.377346 | + | 0.653582i | ||||
\(411\) | −19.8585 | + | 14.3915i | −0.979548 | + | 0.709881i | ||||
\(412\) | − | 0.358733i | − | 0.0176735i | ||||||
\(413\) | −9.91276 | + | 24.8466i | −0.487775 | + | 1.22262i | ||||
\(414\) | −6.13016 | + | 13.0162i | −0.301281 | + | 0.639711i | ||||
\(415\) | −13.2971 | − | 23.0313i | −0.652731 | − | 1.13056i | ||||
\(416\) | 3.30972 | + | 1.91087i | 0.162273 | + | 0.0936881i | ||||
\(417\) | −5.58754 | − | 2.49581i | −0.273623 | − | 0.122220i | ||||
\(418\) | 6.82406 | + | 11.8196i | 0.333776 | + | 0.578117i | ||||
\(419\) | 25.2058 | 1.23138 | 0.615692 | − | 0.787987i | \(-0.288877\pi\) | ||||
0.615692 | + | 0.787987i | \(0.288877\pi\) | |||||||
\(420\) | 3.84453 | − | 13.5691i | 0.187594 | − | 0.662103i | ||||
\(421\) | − | 23.5327i | − | 1.14691i | −0.819236 | − | 0.573456i | \(-0.805602\pi\) | ||
0.819236 | − | 0.573456i | \(-0.194398\pi\) | |||||||
\(422\) | −9.63530 | + | 5.56294i | −0.469039 | + | 0.270800i | ||||
\(423\) | −32.2294 | − | 10.5580i | −1.56705 | − | 0.513345i | ||||
\(424\) | 4.49800 | + | 2.59692i | 0.218442 | + | 0.126118i | ||||
\(425\) | −11.2774 | − | 19.5330i | −0.547033 | − | 0.947488i | ||||
\(426\) | −1.70915 | − | 16.4522i | −0.0828087 | − | 0.797114i | ||||
\(427\) | −4.20997 | − | 5.34032i | −0.203735 | − | 0.258436i | ||||
\(428\) | −5.15544 | −0.249198 | ||||||||
\(429\) | 23.5907 | − | 17.0962i | 1.13897 | − | 0.825414i | ||||
\(430\) | 6.40792 | − | 11.0988i | 0.309017 | − | 0.535234i | ||||
\(431\) | 4.31684 | − | 7.47699i | 0.207935 | − | 0.360154i | −0.743129 | − | 0.669148i | \(-0.766659\pi\) |
0.951064 | + | 0.308994i | \(0.0999924\pi\) | |||||||
\(432\) | −3.49085 | + | 3.84889i | −0.167953 | + | 0.185180i | ||||
\(433\) | 23.0214i | 1.10634i | 0.833069 | + | 0.553169i | \(0.186582\pi\) | ||||
−0.833069 | + | 0.553169i | \(0.813418\pi\) | |||||||
\(434\) | −25.6970 | + | 3.72590i | −1.23350 | + | 0.178849i | ||||
\(435\) | 15.8404 | − | 1.64559i | 0.759489 | − | 0.0788999i | ||||
\(436\) | −8.92907 | + | 5.15520i | −0.427625 | + | 0.246889i | ||||
\(437\) | 5.79150 | + | 13.6975i | 0.277045 | + | 0.655239i | ||||
\(438\) | −7.61141 | + | 17.0402i | −0.363687 | + | 0.814212i | ||||
\(439\) | −19.1647 | − | 33.1942i | −0.914681 | − | 1.58427i | −0.807368 | − | 0.590049i | \(-0.799109\pi\) |
−0.107313 | − | 0.994225i | \(-0.534225\pi\) | |||||||
\(440\) | − | 13.5453i | − | 0.645748i | ||||||
\(441\) | −17.8790 | − | 11.0156i | −0.851379 | − | 0.524552i | ||||
\(442\) | − | 19.2775i | − | 0.916939i | ||||||
\(443\) | 18.1008 | − | 10.4505i | 0.859994 | − | 0.496518i | −0.00401647 | − | 0.999992i | \(-0.501278\pi\) |
0.864010 | + | 0.503474i | \(0.167945\pi\) | |||||||
\(444\) | −0.751338 | + | 1.68207i | −0.0356569 | + | 0.0798276i | ||||
\(445\) | 0.540506 | − | 0.936185i | 0.0256225 | − | 0.0443794i | ||||
\(446\) | −8.71279 | + | 5.03033i | −0.412563 | + | 0.238193i | ||||
\(447\) | 2.99542 | + | 28.8338i | 0.141678 | + | 1.36379i | ||||
\(448\) | −0.379647 | − | 2.61837i | −0.0179366 | − | 0.123706i | ||||
\(449\) | − | 33.2299i | − | 1.56821i | −0.620625 | − | 0.784107i | \(-0.713121\pi\) | ||
0.620625 | − | 0.784107i | \(-0.286879\pi\) | |||||||
\(450\) | 9.99039 | − | 8.95186i | 0.470951 | − | 0.421995i | ||||
\(451\) | 18.9263 | + | 10.9271i | 0.891205 | + | 0.514537i | ||||
\(452\) | 7.48150 | − | 12.9583i | 0.351900 | − | 0.609509i | ||||
\(453\) | −2.22591 | + | 1.61313i | −0.104583 | + | 0.0757913i | ||||
\(454\) | − | 27.2766i | − | 1.28015i | ||||||
\(455\) | −24.4378 | + | 19.2653i | −1.14566 | + | 0.903169i | ||||
\(456\) | 0.554979 | + | 5.34221i | 0.0259893 | + | 0.250172i | ||||
\(457\) | −24.8373 | + | 14.3398i | −1.16184 | + | 0.670790i | −0.951745 | − | 0.306891i | \(-0.900711\pi\) |
−0.210097 | + | 0.977681i | \(0.567378\pi\) | |||||||
\(458\) | −0.855761 | + | 1.48222i | −0.0399871 | + | 0.0692597i | ||||
\(459\) | 25.6177 | + | 5.54211i | 1.19573 | + | 0.258684i | ||||
\(460\) | 1.81934 | − | 14.6469i | 0.0848273 | − | 0.682917i | ||||
\(461\) | 19.0947i | 0.889330i | 0.895697 | + | 0.444665i | \(0.146677\pi\) | ||||
−0.895697 | + | 0.444665i | \(0.853323\pi\) | |||||||
\(462\) | −19.4055 | − | 5.49815i | −0.902824 | − | 0.255797i | ||||
\(463\) | 36.9549 | 1.71744 | 0.858719 | − | 0.512447i | \(-0.171261\pi\) | ||||
0.858719 | + | 0.512447i | \(0.171261\pi\) | |||||||
\(464\) | 2.58737 | − | 1.49382i | 0.120116 | − | 0.0693489i | ||||
\(465\) | −47.7657 | − | 21.3357i | −2.21508 | − | 0.989419i | ||||
\(466\) | 1.43108 | − | 2.47869i | 0.0662933 | − | 0.114823i | ||||
\(467\) | 4.78953 | + | 8.29571i | 0.221633 | + | 0.383880i | 0.955304 | − | 0.295625i | \(-0.0955280\pi\) |
−0.733671 | + | 0.679505i | \(0.762195\pi\) | |||||||
\(468\) | 11.2204 | − | 2.35671i | 0.518663 | − | 0.108939i | ||||
\(469\) | 3.36624 | − | 8.43756i | 0.155439 | − | 0.389611i | ||||
\(470\) | 34.7916 | 1.60482 | ||||||||
\(471\) | −20.7710 | − | 28.6614i | −0.957075 | − | 1.32065i | ||||
\(472\) | −5.05546 | + | 8.75632i | −0.232696 | + | 0.403042i | ||||
\(473\) | −15.8727 | − | 9.16412i | −0.729829 | − | 0.421367i | ||||
\(474\) | −4.40184 | + | 3.19003i | −0.202183 | + | 0.146523i | ||||
\(475\) | − | 13.8656i | − | 0.636197i | ||||||
\(476\) | −10.4806 | + | 8.26221i | −0.480376 | + | 0.378698i | ||||
\(477\) | 15.2488 | − | 3.20283i | 0.698195 | − | 0.146648i | ||||
\(478\) | 10.1292 | + | 17.5443i | 0.463300 | + | 0.802459i | ||||
\(479\) | −21.4349 | + | 37.1263i | −0.979385 | + | 1.69634i | −0.314754 | + | 0.949173i | \(0.601922\pi\) |
−0.664631 | + | 0.747172i | \(0.731411\pi\) | |||||||
\(480\) | 2.17398 | − | 4.86704i | 0.0992282 | − | 0.222149i | ||||
\(481\) | 3.52030 | − | 2.03244i | 0.160512 | − | 0.0926715i | ||||
\(482\) | 3.05723 | 0.139253 | ||||||||
\(483\) | −20.2452 | − | 8.55176i | −0.921188 | − | 0.389118i | ||||
\(484\) | −8.37150 | −0.380523 | ||||||||
\(485\) | −43.6720 | + | 25.2141i | −1.98305 | + | 1.14491i | ||||
\(486\) | −0.0939555 | + | 15.5882i | −0.00426191 | + | 0.707094i | ||||
\(487\) | 6.75714 | − | 11.7037i | 0.306195 | − | 0.530346i | −0.671332 | − | 0.741157i | \(-0.734277\pi\) |
0.977527 | + | 0.210812i | \(0.0676107\pi\) | |||||||
\(488\) | −1.28512 | − | 2.22589i | −0.0581746 | − | 0.100761i | ||||
\(489\) | −1.18304 | − | 11.3879i | −0.0534991 | − | 0.514981i | ||||
\(490\) | 20.9478 | + | 5.02909i | 0.946323 | + | 0.227191i | ||||
\(491\) | 5.26234i | 0.237486i | 0.992925 | + | 0.118743i | \(0.0378865\pi\) | ||||
−0.992925 | + | 0.118743i | \(0.962114\pi\) | |||||||
\(492\) | 5.04674 | + | 6.96389i | 0.227525 | + | 0.313956i | ||||
\(493\) | −13.0512 | − | 7.53510i | −0.587795 | − | 0.339364i | ||||
\(494\) | 5.92547 | − | 10.2632i | 0.266599 | − | 0.461764i | ||||
\(495\) | −27.1179 | − | 30.2639i | −1.21886 | − | 1.36026i | ||||
\(496\) | −9.81411 | −0.440667 | ||||||||
\(497\) | 25.0050 | − | 3.62557i | 1.12163 | − | 0.162629i | ||||
\(498\) | −14.8871 | + | 1.54656i | −0.667107 | + | 0.0693028i | ||||
\(499\) | 15.3157 | + | 26.5276i | 0.685625 | + | 1.18754i | 0.973240 | + | 0.229792i | \(0.0738045\pi\) |
−0.287614 | + | 0.957746i | \(0.592862\pi\) | |||||||
\(500\) | 0.813346 | − | 1.40876i | 0.0363739 | − | 0.0630015i | ||||
\(501\) | 13.9831 | − | 31.3050i | 0.624720 | − | 1.39860i | ||||
\(502\) | −20.8652 | + | 12.0465i | −0.931261 | + | 0.537664i | ||||
\(503\) | 31.9103 | 1.42281 | 0.711405 | − | 0.702782i | \(-0.248059\pi\) | ||||
0.711405 | + | 0.702782i | \(0.248059\pi\) | |||||||
\(504\) | −6.09024 | − | 5.09008i | −0.271281 | − | 0.226730i | ||||
\(505\) | 43.1076i | 1.91826i | ||||||||
\(506\) | −20.9469 | − | 2.60188i | −0.931205 | − | 0.115668i | ||||
\(507\) | −2.53934 | − | 1.13426i | −0.112776 | − | 0.0503741i | ||||
\(508\) | −4.99343 | + | 8.64888i | −0.221548 | + | 0.383732i | ||||
\(509\) | 0.444150 | − | 0.256430i | 0.0196866 | − | 0.0113661i | −0.490124 | − | 0.871652i | \(-0.663049\pi\) |
0.509811 | + | 0.860286i | \(0.329715\pi\) | |||||||
\(510\) | −26.7441 | + | 2.77833i | −1.18425 | + | 0.123026i | ||||
\(511\) | −26.4785 | − | 10.5638i | −1.17134 | − | 0.467316i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 11.9351 | + | 10.8249i | 0.526949 | + | 0.477929i | ||||
\(514\) | 7.34781 | − | 12.7268i | 0.324098 | − | 0.561354i | ||||
\(515\) | 0.956115 | + | 0.552013i | 0.0421315 | + | 0.0243246i | ||||
\(516\) | −4.23250 | − | 5.84033i | −0.186325 | − | 0.257106i | ||||
\(517\) | − | 49.7563i | − | 2.18828i | ||||||
\(518\) | −2.61375 | − | 1.04278i | −0.114841 | − | 0.0458170i | ||||
\(519\) | −29.7008 | + | 3.08549i | −1.30372 | + | 0.135438i | ||||
\(520\) | −10.1859 | + | 5.88084i | −0.446682 | + | 0.257892i | ||||
\(521\) | −2.27058 | + | 3.93275i | −0.0994757 | + | 0.172297i | −0.911468 | − | 0.411372i | \(-0.865050\pi\) |
0.811992 | + | 0.583668i | \(0.198383\pi\) | |||||||
\(522\) | 2.79024 | − | 8.51754i | 0.122125 | − | 0.372803i | ||||
\(523\) | 4.64025 | − | 2.67905i | 0.202904 | − | 0.117147i | −0.395105 | − | 0.918636i | \(-0.629292\pi\) |
0.598009 | + | 0.801489i | \(0.295959\pi\) | |||||||
\(524\) | 5.12937i | 0.224078i | ||||||||
\(525\) | 14.2805 | + | 14.6947i | 0.623253 | + | 0.641331i | ||||
\(526\) | − | 11.4751i | − | 0.500337i | ||||||
\(527\) | 24.7521 | + | 42.8719i | 1.07822 | + | 1.86753i | ||||
\(528\) | −6.96048 | − | 3.10906i | −0.302916 | − | 0.135305i | ||||
\(529\) | −22.3011 | − | 5.62698i | −0.969611 | − | 0.244651i | ||||
\(530\) | −13.8429 | + | 7.99221i | −0.601298 | + | 0.347160i | ||||
\(531\) | 6.23499 | + | 29.6850i | 0.270575 | + | 1.28822i | ||||
\(532\) | −8.11938 | + | 1.17726i | −0.352020 | + | 0.0510406i | ||||
\(533\) | − | 18.9764i | − | 0.821961i | ||||||
\(534\) | −0.357010 | − | 0.492630i | −0.0154493 | − | 0.0213182i | ||||
\(535\) | 7.93312 | − | 13.7406i | 0.342979 | − | 0.594056i | ||||
\(536\) | 1.71677 | − | 2.97353i | 0.0741530 | − | 0.128437i | ||||
\(537\) | −10.8301 | − | 14.9442i | −0.467355 | − | 0.644892i | ||||
\(538\) | −6.91948 | −0.298320 | ||||||||
\(539\) | 7.19222 | − | 29.9579i | 0.309791 | − | 1.29038i | ||||
\(540\) | −4.88662 | − | 15.2266i | −0.210287 | − | 0.655249i | ||||
\(541\) | 22.9013 | + | 39.6662i | 0.984604 | + | 1.70538i | 0.643685 | + | 0.765291i | \(0.277405\pi\) |
0.340919 | + | 0.940093i | \(0.389262\pi\) | |||||||
\(542\) | −20.4355 | − | 11.7984i | −0.877779 | − | 0.506786i | ||||
\(543\) | −18.2717 | + | 40.9061i | −0.784114 | + | 1.75545i | ||||
\(544\) | −4.36839 | + | 2.52209i | −0.187293 | + | 0.108134i | ||||
\(545\) | − | 31.7310i | − | 1.35921i | ||||||
\(546\) | 4.29053 | + | 16.9797i | 0.183618 | + | 0.726665i | ||||
\(547\) | 35.9342 | 1.53644 | 0.768218 | − | 0.640189i | \(-0.221144\pi\) | ||||
0.768218 | + | 0.640189i | \(0.221144\pi\) | |||||||
\(548\) | −7.07976 | − | 12.2625i | −0.302432 | − | 0.523828i | ||||
\(549\) | −7.32756 | − | 2.40042i | −0.312733 | − | 0.102447i | ||||
\(550\) | 17.0435 | + | 9.84008i | 0.726738 | + | 0.419582i | ||||
\(551\) | −4.63223 | − | 8.02325i | −0.197339 | − | 0.341802i | ||||
\(552\) | −7.10897 | − | 4.29681i | −0.302578 | − | 0.182885i | ||||
\(553\) | −5.14094 | − | 6.52124i | −0.218615 | − | 0.277311i | ||||
\(554\) | 3.75840i | 0.159679i | ||||||||
\(555\) | −3.32700 | − | 4.59085i | −0.141223 | − | 0.194871i | ||||
\(556\) | 1.76658 | − | 3.05980i | 0.0749196 | − | 0.129765i | ||||
\(557\) | 1.44330 | − | 2.49986i | 0.0611544 | − | 0.105923i | −0.833827 | − | 0.552025i | \(-0.813855\pi\) |
0.894982 | + | 0.446103i | \(0.147188\pi\) | |||||||
\(558\) | −21.9274 | + | 19.6480i | −0.928259 | + | 0.831765i | ||||
\(559\) | 15.9148i | 0.673123i | ||||||||
\(560\) | 7.56282 | + | 3.01725i | 0.319587 | + | 0.127502i | ||||
\(561\) | 3.97335 | + | 38.2474i | 0.167755 | + | 1.61481i | ||||
\(562\) | −9.36261 | + | 5.40551i | −0.394938 | + | 0.228018i | ||||
\(563\) | −2.29962 | + | 3.98306i | −0.0969176 | + | 0.167866i | −0.910407 | − | 0.413713i | \(-0.864232\pi\) |
0.813490 | + | 0.581579i | \(0.197565\pi\) | |||||||
\(564\) | 7.98573 | − | 17.8782i | 0.336260 | − | 0.752809i | ||||
\(565\) | 23.0248 | + | 39.8802i | 0.968662 | + | 1.67777i | ||||
\(566\) | −10.0593 | −0.422823 | ||||||||
\(567\) | −23.7976 | + | 0.820121i | −0.999407 | + | 0.0344418i | ||||
\(568\) | 9.54983 | 0.400702 | ||||||||
\(569\) | 16.4480 | + | 28.4888i | 0.689537 | + | 1.19431i | 0.971988 | + | 0.235031i | \(0.0755193\pi\) |
−0.282451 | + | 0.959282i | \(0.591147\pi\) | |||||||
\(570\) | −15.0923 | − | 6.74136i | −0.632149 | − | 0.282364i | ||||
\(571\) | 17.3244 | + | 10.0022i | 0.725002 | + | 0.418580i | 0.816591 | − | 0.577217i | \(-0.195861\pi\) |
−0.0915886 | + | 0.995797i | \(0.529194\pi\) | |||||||
\(572\) | 8.41032 | + | 14.5671i | 0.351653 | + | 0.609081i | ||||
\(573\) | 2.83404 | + | 27.2804i | 0.118394 | + | 1.13965i | ||||
\(574\) | −10.3169 | + | 8.13316i | −0.430617 | + | 0.339472i | ||||
\(575\) | 17.1080 | + | 12.9296i | 0.713452 | + | 0.539200i | ||||
\(576\) | −2.00201 | − | 2.23427i | −0.0834171 | − | 0.0930945i | ||||
\(577\) | −6.71432 | + | 11.6295i | −0.279521 | + | 0.484144i | −0.971266 | − | 0.237998i | \(-0.923509\pi\) |
0.691745 | + | 0.722142i | \(0.256842\pi\) | |||||||
\(578\) | 7.31251 | + | 4.22188i | 0.304160 | + | 0.175607i | ||||
\(579\) | 32.8039 | − | 23.7730i | 1.36328 | − | 0.987974i | ||||
\(580\) | 9.19467i | 0.381788i | ||||||||
\(581\) | −3.28066 | − | 22.6262i | −0.136105 | − | 0.938693i | ||||
\(582\) | 2.93258 | + | 28.2289i | 0.121559 | + | 1.17013i | ||||
\(583\) | 11.4299 | + | 19.7971i | 0.473376 | + | 0.819912i | ||||
\(584\) | −9.33143 | − | 5.38750i | −0.386137 | − | 0.222936i | ||||
\(585\) | −10.9845 | + | 33.5317i | −0.454155 | + | 1.38636i | ||||
\(586\) | 17.6229 | − | 10.1746i | 0.727995 | − | 0.420308i | ||||
\(587\) | 42.7016i | 1.76249i | 0.472664 | + | 0.881243i | \(0.343293\pi\) | ||||
−0.472664 | + | 0.881243i | \(0.656707\pi\) | |||||||
\(588\) | 7.39242 | − | 9.61000i | 0.304858 | − | 0.396310i | ||||
\(589\) | 30.4328i | 1.25396i | ||||||||
\(590\) | −15.5585 | − | 26.9482i | −0.640535 | − | 1.10944i | ||||
\(591\) | 6.38118 | − | 14.2860i | 0.262487 | − | 0.587647i | ||||
\(592\) | −0.921124 | − | 0.531811i | −0.0378580 | − | 0.0218573i | ||||
\(593\) | 1.94554 | − | 1.12326i | 0.0798937 | − | 0.0461266i | −0.459521 | − | 0.888167i | \(-0.651979\pi\) |
0.539415 | + | 0.842040i | \(0.318646\pi\) | |||||||
\(594\) | −21.7759 | + | 6.98847i | −0.893478 | + | 0.286740i | ||||
\(595\) | −5.89357 | − | 40.6471i | −0.241613 | − | 1.66637i | ||||
\(596\) | −16.7368 | −0.685566 | ||||||||
\(597\) | 1.33341 | + | 1.83994i | 0.0545729 | + | 0.0753039i | ||||
\(598\) | 7.13774 | + | 16.8815i | 0.291884 | + | 0.690334i | ||||
\(599\) | −9.63702 | − | 5.56394i | −0.393758 | − | 0.227336i | 0.290029 | − | 0.957018i | \(-0.406335\pi\) |
−0.683787 | + | 0.729681i | \(0.739668\pi\) | |||||||
\(600\) | 4.54470 | + | 6.27112i | 0.185536 | + | 0.256017i | ||||
\(601\) | −18.9886 | −0.774562 | −0.387281 | − | 0.921962i | \(-0.626586\pi\) | ||||
−0.387281 | + | 0.921962i | \(0.626586\pi\) | |||||||
\(602\) | 8.65233 | − | 6.82095i | 0.352643 | − | 0.278001i | ||||
\(603\) | −2.11732 | − | 10.0806i | −0.0862239 | − | 0.410515i | ||||
\(604\) | −0.793561 | − | 1.37449i | −0.0322895 | − | 0.0559271i | ||||
\(605\) | 12.8819 | − | 22.3122i | 0.523725 | − | 0.907119i | ||||
\(606\) | 22.1515 | + | 9.89450i | 0.899844 | + | 0.401937i | ||||
\(607\) | 9.07549 | + | 15.7192i | 0.368363 | + | 0.638023i | 0.989310 | − | 0.145830i | \(-0.0465851\pi\) |
−0.620947 | + | 0.783853i | \(0.713252\pi\) | |||||||
\(608\) | −3.10093 | −0.125759 | ||||||||
\(609\) | 13.1726 | + | 3.73219i | 0.533779 | + | 0.151236i | ||||
\(610\) | 7.91009 | 0.320270 | ||||||||
\(611\) | −37.4161 | + | 21.6022i | −1.51369 | + | 0.873932i | ||||
\(612\) | −4.71090 | + | 14.3806i | −0.190427 | + | 0.581301i | ||||
\(613\) | −13.2501 | − | 7.64992i | −0.535165 | − | 0.308977i | 0.207952 | − | 0.978139i | \(-0.433320\pi\) |
−0.743117 | + | 0.669162i | \(0.766653\pi\) | |||||||
\(614\) | 21.4673 | − | 12.3941i | 0.866349 | − | 0.500187i | ||||
\(615\) | −26.3264 | + | 2.73493i | −1.06158 | + | 0.110283i | ||||
\(616\) | 4.31505 | − | 10.8158i | 0.173858 | − | 0.435780i | ||||
\(617\) | 7.20949 | 0.290243 | 0.145122 | − | 0.989414i | \(-0.453643\pi\) | ||||
0.145122 | + | 0.989414i | \(0.453643\pi\) | |||||||
\(618\) | 0.503118 | − | 0.364611i | 0.0202384 | − | 0.0146668i | ||||
\(619\) | 33.3880 | + | 19.2765i | 1.34198 | + | 0.774790i | 0.987097 | − | 0.160123i | \(-0.0511890\pi\) |
0.354878 | + | 0.934913i | \(0.384522\pi\) | |||||||
\(620\) | 15.1018 | − | 26.1571i | 0.606503 | − | 1.05049i | ||||
\(621\) | −24.4856 | + | 4.63199i | −0.982573 | + | 0.185875i | ||||
\(622\) | −12.8299 | −0.514432 | ||||||||
\(623\) | 0.729822 | − | 0.575346i | 0.0292397 | − | 0.0230507i | ||||
\(624\) | 0.683984 | + | 6.58402i | 0.0273813 | + | 0.263572i | ||||
\(625\) | 13.6817 | + | 23.6974i | 0.547269 | + | 0.947897i | ||||
\(626\) | −1.03629 | + | 1.79490i | −0.0414183 | + | 0.0717386i | ||||
\(627\) | −9.64097 | + | 21.5839i | −0.385023 | + | 0.861979i | ||||
\(628\) | 17.6982 | − | 10.2181i | 0.706236 | − | 0.407745i | ||||
\(629\) | 5.36510i | 0.213921i | ||||||||
\(630\) | 22.9379 | − | 8.39949i | 0.913869 | − | 0.334644i | ||||
\(631\) | − | 35.2273i | − | 1.40238i | −0.712977 | − | 0.701188i | \(-0.752654\pi\) | ||
0.712977 | − | 0.701188i | \(-0.247346\pi\) | |||||||
\(632\) | −1.56930 | − | 2.71811i | −0.0624235 | − | 0.108121i | ||||
\(633\) | −17.5951 | − | 7.85927i | −0.699342 | − | 0.312378i | ||||
\(634\) | 3.88182 | − | 6.72351i | 0.154167 | − | 0.267025i | ||||
\(635\) | −15.3676 | − | 26.6175i | −0.609846 | − | 1.05628i | ||||
\(636\) | 0.929553 | + | 8.94785i | 0.0368592 | + | 0.354805i | ||||
\(637\) | −25.6505 | + | 7.59806i | −1.01631 | + | 0.301046i | ||||
\(638\) | 13.1495 | 0.520594 | ||||||||
\(639\) | 21.3369 | − | 19.1189i | 0.844074 | − | 0.756331i | ||||
\(640\) | 2.66525 | + | 1.53878i | 0.105353 | + | 0.0608258i | ||||
\(641\) | −17.7954 | + | 30.8226i | −0.702877 | + | 1.21742i | 0.264575 | + | 0.964365i | \(0.414768\pi\) |
−0.967452 | + | 0.253054i | \(0.918565\pi\) | |||||||
\(642\) | −5.23991 | − | 7.23043i | −0.206803 | − | 0.285362i | ||||
\(643\) | 24.6674i | 0.972788i | 0.873740 | + | 0.486394i | \(0.161688\pi\) | ||||
−0.873740 | + | 0.486394i | \(0.838312\pi\) | |||||||
\(644\) | 6.11870 | − | 11.1158i | 0.241111 | − | 0.438025i | ||||
\(645\) | 22.0789 | − | 2.29368i | 0.869355 | − | 0.0903134i | ||||
\(646\) | 7.82082 | + | 13.5460i | 0.307706 | + | 0.532962i | ||||
\(647\) | 9.80531 | + | 5.66110i | 0.385487 | + | 0.222561i | 0.680203 | − | 0.733024i | \(-0.261892\pi\) |
−0.294716 | + | 0.955585i | \(0.595225\pi\) | |||||||
\(648\) | −8.94606 | − | 0.983904i | −0.351434 | − | 0.0386514i | ||||
\(649\) | −38.5392 | + | 22.2506i | −1.51280 | + | 0.873414i | ||||
\(650\) | − | 17.0887i | − | 0.670273i | ||||||
\(651\) | −31.3435 | − | 32.2527i | −1.22845 | − | 1.26408i | ||||
\(652\) | 6.61022 | 0.258876 | ||||||||
\(653\) | 1.01696 | − | 0.587142i | 0.0397967 | − | 0.0229766i | −0.479970 | − | 0.877285i | \(-0.659352\pi\) |
0.519766 | + | 0.854308i | \(0.326019\pi\) | |||||||
\(654\) | −16.3055 | − | 7.28322i | −0.637594 | − | 0.284796i | ||||
\(655\) | −13.6711 | − | 7.89300i | −0.534173 | − | 0.308405i | ||||
\(656\) | −4.30015 | + | 2.48270i | −0.167893 | + | 0.0969330i | ||||
\(657\) | −31.6347 | + | 6.64450i | −1.23419 | + | 0.259227i | ||||
\(658\) | 27.7807 | + | 11.0833i | 1.08300 | + | 0.432074i | ||||
\(659\) | 7.97006 | 0.310469 | 0.155235 | − | 0.987878i | \(-0.450387\pi\) | ||||
0.155235 | + | 0.987878i | \(0.450387\pi\) | |||||||
\(660\) | 18.9971 | − | 13.7673i | 0.739462 | − | 0.535890i | ||||
\(661\) | 3.42255 | + | 1.97601i | 0.133122 | + | 0.0768579i | 0.565082 | − | 0.825035i | \(-0.308845\pi\) |
−0.431960 | + | 0.901893i | \(0.642178\pi\) | |||||||
\(662\) | 20.5166 | + | 11.8453i | 0.797400 | + | 0.460379i | ||||
\(663\) | 27.0365 | − | 19.5934i | 1.05001 | − | 0.760944i | ||||
\(664\) | − | 8.64133i | − | 0.335349i | ||||||
\(665\) | 9.35628 | − | 23.4517i | 0.362821 | − | 0.909420i | ||||
\(666\) | −3.12273 | + | 0.655892i | −0.121003 | + | 0.0254153i | ||||
\(667\) | 14.2189 | + | 1.76618i | 0.550560 | + | 0.0683867i | ||||
\(668\) | 17.1430 | + | 9.89751i | 0.663283 | + | 0.382946i | ||||
\(669\) | −15.9105 | − | 7.10681i | −0.615136 | − | 0.274765i | ||||
\(670\) | 5.28347 | + | 9.15124i | 0.204118 | + | 0.353543i | ||||
\(671\) | − | 11.3124i | − | 0.436711i | ||||||
\(672\) | 3.28636 | − | 3.19372i | 0.126774 | − | 0.123200i | ||||
\(673\) | −7.89987 | −0.304518 | −0.152259 | − | 0.988341i | \(-0.548655\pi\) | ||||
−0.152259 | + | 0.988341i | \(0.548655\pi\) | |||||||
\(674\) | 7.84161 | + | 13.5821i | 0.302048 | + | 0.523162i | ||||
\(675\) | 22.7089 | + | 4.91283i | 0.874067 | + | 0.189095i | ||||
\(676\) | 0.802849 | − | 1.39057i | 0.0308788 | − | 0.0534836i | ||||
\(677\) | −19.7207 | − | 34.1573i | −0.757929 | − | 1.31277i | −0.943905 | − | 0.330218i | \(-0.892878\pi\) |
0.185976 | − | 0.982554i | \(-0.440455\pi\) | |||||||
\(678\) | 25.7779 | − | 2.67796i | 0.989996 | − | 0.102846i | ||||
\(679\) | −42.9038 | + | 6.22079i | −1.64650 | + | 0.238732i | ||||
\(680\) | − | 15.5238i | − | 0.595311i | ||||||
\(681\) | 38.2550 | − | 27.7235i | 1.46593 | − | 1.06237i | ||||
\(682\) | −37.4079 | − | 21.5975i | −1.43242 | − | 0.827010i | ||||
\(683\) | 37.9522 | + | 21.9117i | 1.45220 | + | 0.838428i | 0.998606 | − | 0.0527797i | \(-0.0168081\pi\) |
0.453595 | + | 0.891208i | \(0.350141\pi\) | |||||||
\(684\) | −6.92830 | + | 6.20809i | −0.264910 | + | 0.237372i | ||||
\(685\) | 43.5769 | 1.66499 | ||||||||
\(686\) | 15.1244 | + | 10.6889i | 0.577453 | + | 0.408102i | ||||
\(687\) | −2.94858 | + | 0.306315i | −0.112495 | + | 0.0116866i | ||||
\(688\) | 3.60637 | − | 2.08214i | 0.137491 | − | 0.0793807i | ||||
\(689\) | 9.92477 | − | 17.1902i | 0.378104 | − | 0.654895i | ||||
\(690\) | 22.3913 | − | 12.3353i | 0.852421 | − | 0.469598i | ||||
\(691\) | −1.93213 | − | 3.34655i | −0.0735017 | − | 0.127309i | 0.826932 | − | 0.562302i | \(-0.190084\pi\) |
−0.900434 | + | 0.434993i | \(0.856751\pi\) | |||||||
\(692\) | − | 17.2400i | − | 0.655368i | ||||||
\(693\) | −12.0123 | − | 32.8041i | −0.456310 | − | 1.24612i | ||||
\(694\) | 12.8977 | 0.489588 | ||||||||
\(695\) | 5.43677 | + | 9.41676i | 0.206228 | + | 0.357198i | ||||
\(696\) | 4.72482 | + | 2.11046i | 0.179094 | + | 0.0799966i | ||||
\(697\) | 21.6908 | + | 12.5232i | 0.821596 | + | 0.474349i | ||||
\(698\) | −9.36805 | + | 5.40864i | −0.354586 | + | 0.204720i | ||||
\(699\) | 4.93085 | − | 0.512245i | 0.186502 | − | 0.0193749i | ||||
\(700\) | −9.29054 | + | 7.32408i | −0.351149 | + | 0.276824i | ||||
\(701\) | 3.41203 | 0.128870 | 0.0644352 | − | 0.997922i | \(-0.479475\pi\) | ||||
0.0644352 | + | 0.997922i | \(0.479475\pi\) | |||||||
\(702\) | 14.7095 | + | 13.3411i | 0.555173 | + | 0.503528i | ||||
\(703\) | −1.64911 | + | 2.85634i | −0.0621973 | + | 0.107729i | ||||
\(704\) | 2.20065 | − | 3.81164i | 0.0829402 | − | 0.143657i | ||||
\(705\) | 35.3617 | + | 48.7947i | 1.33180 | + | 1.83772i | ||||
\(706\) | 21.3590 | 0.803857 | ||||||||
\(707\) | −13.7325 | + | 34.4209i | −0.516464 | + | 1.29453i | ||||
\(708\) | −17.4189 | + | 1.80957i | −0.654642 | + | 0.0680079i | ||||
\(709\) | 9.46538 | − | 5.46484i | 0.355480 | − | 0.205236i | −0.311616 | − | 0.950208i | \(-0.600870\pi\) |
0.667096 | + | 0.744972i | \(0.267537\pi\) | |||||||
\(710\) | −14.6951 | + | 25.4527i | −0.551499 | + | 0.955223i | ||||
\(711\) | −8.94793 | − | 2.93123i | −0.335574 | − | 0.109930i | ||||
\(712\) | 0.304196 | − | 0.175628i | 0.0114002 | − | 0.00658192i | ||||
\(713\) | −37.5494 | − | 28.3784i | −1.40623 | − | 1.06278i | ||||
\(714\) | −22.2399 | − | 6.30124i | −0.832307 | − | 0.235818i | ||||
\(715\) | −51.7667 | −1.93597 | ||||||||
\(716\) | 9.22798 | − | 5.32777i | 0.344866 | − | 0.199108i | ||||
\(717\) | −14.3105 | + | 32.0378i | −0.534434 | + | 1.19648i | ||||
\(718\) | −2.58402 | − | 1.49189i | −0.0964349 | − | 0.0556767i | ||||
\(719\) | −37.8622 | + | 21.8598i | −1.41202 | + | 0.815232i | −0.995579 | − | 0.0939294i | \(-0.970057\pi\) |
−0.416444 | + | 0.909161i | \(0.636724\pi\) | |||||||
\(720\) | 9.03555 | − | 1.89781i | 0.336735 | − | 0.0707272i | ||||
\(721\) | 0.587594 | + | 0.745359i | 0.0218832 | + | 0.0277586i | ||||
\(722\) | − | 9.38426i | − | 0.349246i | ||||||
\(723\) | 3.10732 | + | 4.28772i | 0.115563 | + | 0.159462i | ||||
\(724\) | −22.4007 | − | 12.9331i | −0.832516 | − | 0.480653i | ||||
\(725\) | −11.5693 | − | 6.67952i | −0.429672 | − | 0.248071i | ||||
\(726\) | −8.50866 | − | 11.7409i | −0.315786 | − | 0.435746i | ||||
\(727\) | 30.3607i | 1.12602i | 0.826451 | + | 0.563009i | \(0.190356\pi\) | ||||
−0.826451 | + | 0.563009i | \(0.809644\pi\) | |||||||
\(728\) | −10.0067 | + | 1.45091i | −0.370874 | + | 0.0537744i | ||||
\(729\) | −21.9577 | + | 15.7118i | −0.813247 | + | 0.581919i | ||||
\(730\) | 28.7181 | − | 16.5804i | 1.06291 | − | 0.613669i | ||||
\(731\) | −18.1912 | − | 10.5027i | −0.672824 | − | 0.388455i | ||||
\(732\) | 1.81560 | − | 4.06472i | 0.0671067 | − | 0.150236i | ||||
\(733\) | 29.6462 | − | 17.1162i | 1.09501 | − | 0.632203i | 0.160102 | − | 0.987100i | \(-0.448818\pi\) |
0.934905 | + | 0.354898i | \(0.115484\pi\) | |||||||
\(734\) | 10.9169 | 0.402949 | ||||||||
\(735\) | 14.2378 | + | 34.4904i | 0.525167 | + | 1.27220i | ||||
\(736\) | 2.89159 | − | 3.82606i | 0.106585 | − | 0.141030i | ||||
\(737\) | 13.0874 | − | 7.55602i | 0.482081 | − | 0.278329i | ||||
\(738\) | −4.63731 | + | 14.1560i | −0.170702 | + | 0.521088i | ||||
\(739\) | −4.31095 | + | 7.46679i | −0.158581 | + | 0.274670i | −0.934357 | − | 0.356338i | \(-0.884025\pi\) |
0.775776 | + | 0.631008i | \(0.217359\pi\) | |||||||
\(740\) | 2.83482 | − | 1.63669i | 0.104210 | − | 0.0601658i | ||||
\(741\) | 20.4165 | − | 2.12099i | 0.750021 | − | 0.0779163i | ||||
\(742\) | −13.5994 | + | 1.97183i | −0.499250 | + | 0.0723882i | ||||
\(743\) | −1.52278 | −0.0558656 | −0.0279328 | − | 0.999610i | \(-0.508892\pi\) | ||||
−0.0279328 | + | 0.999610i | \(0.508892\pi\) | |||||||
\(744\) | −9.97491 | − | 13.7641i | −0.365698 | − | 0.504618i | ||||
\(745\) | 25.7543 | − | 44.6078i | 0.943566 | − | 1.63430i | ||||
\(746\) | −13.1302 | + | 22.7421i | −0.480729 | + | 0.832648i | ||||
\(747\) | −17.3000 | − | 19.3070i | −0.632975 | − | 0.706408i | ||||
\(748\) | −22.2010 | −0.811748 | ||||||||
\(749\) | 10.7117 | − | 8.44446i | 0.391398 | − | 0.308554i | ||||
\(750\) | 2.80243 | − | 0.291132i | 0.102330 | − | 0.0106306i | ||||
\(751\) | 23.4488 | − | 13.5382i | 0.855658 | − | 0.494014i | −0.00689806 | − | 0.999976i | \(-0.502196\pi\) |
0.862556 | + | 0.505962i | \(0.168862\pi\) | |||||||
\(752\) | 9.79033 | + | 5.65245i | 0.357017 | + | 0.206124i | ||||
\(753\) | −38.1022 | − | 17.0192i | −1.38852 | − | 0.620216i | ||||
\(754\) | −5.70899 | − | 9.88826i | −0.207909 | − | 0.360109i | ||||
\(755\) | 4.88448 | 0.177764 | ||||||||
\(756\) | 0.948741 | − | 13.7150i | 0.0345054 | − | 0.498808i | ||||
\(757\) | 1.68399i | 0.0612056i | 0.999532 | + | 0.0306028i | \(0.00974269\pi\) | ||||
−0.999532 | + | 0.0306028i | \(0.990257\pi\) | |||||||
\(758\) | −1.51419 | − | 2.62265i | −0.0549979 | − | 0.0952591i | ||||
\(759\) | −17.6410 | − | 32.0223i | −0.640329 | − | 1.16234i | ||||
\(760\) | 4.77166 | − | 8.26476i | 0.173086 | − | 0.299794i | ||||
\(761\) | 30.8598 | − | 17.8169i | 1.11867 | − | 0.645862i | 0.177606 | − | 0.984102i | \(-0.443165\pi\) |
0.941060 | + | 0.338239i | \(0.109831\pi\) | |||||||
\(762\) | −17.2052 | + | 1.78737i | −0.623277 | + | 0.0647495i | ||||
\(763\) | 10.1083 | − | 25.3368i | 0.365946 | − | 0.917253i | ||||
\(764\) | −15.8351 | −0.572894 | ||||||||
\(765\) | −31.0789 | − | 34.6844i | −1.12366 | − | 1.25402i | ||||
\(766\) | −7.14797 | − | 4.12689i | −0.258267 | − | 0.149110i | ||||
\(767\) | 33.4644 | + | 19.3207i | 1.20833 | + | 0.697629i | ||||
\(768\) | 1.40248 | − | 1.01638i | 0.0506078 | − | 0.0366756i | ||||
\(769\) | − | 15.0497i | − | 0.542705i | −0.962480 | − | 0.271353i | \(-0.912529\pi\) | ||
0.962480 | − | 0.271353i | \(-0.0874710\pi\) | |||||||
\(770\) | 22.1868 | + | 28.1438i | 0.799558 | + | 1.01423i | ||||
\(771\) | 25.3173 | − | 2.63011i | 0.911781 | − | 0.0947209i | ||||
\(772\) | 11.6949 | + | 20.2562i | 0.420909 | + | 0.729036i | ||||
\(773\) | 5.90858 | − | 10.2340i | 0.212517 | − | 0.368090i | −0.739985 | − | 0.672624i | \(-0.765167\pi\) |
0.952502 | + | 0.304534i | \(0.0985007\pi\) | |||||||
\(774\) | 3.88913 | − | 11.8720i | 0.139792 | − | 0.426731i | ||||
\(775\) | 21.9416 | + | 38.0040i | 0.788165 | + | 1.36514i | ||||
\(776\) | −16.3857 | −0.588212 | ||||||||
\(777\) | −1.19409 | − | 4.72560i | −0.0428377 | − | 0.169530i | ||||
\(778\) | − | 20.0955i | − | 0.720458i | ||||||
\(779\) | 7.69866 | + | 13.3345i | 0.275833 | + | 0.477757i | ||||
\(780\) | −18.6006 | − | 8.30839i | −0.666007 | − | 0.297488i | ||||
\(781\) | 36.4005 | + | 21.0159i | 1.30251 | + | 0.752007i | ||||
\(782\) | −24.0066 | − | 2.98193i | −0.858472 | − | 0.106634i | ||||
\(783\) | 14.7817 | − | 4.74383i | 0.528254 | − | 0.169531i | ||||
\(784\) | 5.07763 | + | 4.81848i | 0.181344 | + | 0.172088i | ||||
\(785\) | 62.8936i | 2.24477i | ||||||||
\(786\) | −7.19387 | + | 5.21341i | −0.256597 | + | 0.185956i | ||||
\(787\) | −0.305804 | − | 0.176556i | −0.0109007 | − | 0.00629355i | 0.494540 | − | 0.869155i | \(-0.335337\pi\) |
−0.505440 | + | 0.862861i | \(0.668670\pi\) | |||||||
\(788\) | 7.82318 | + | 4.51672i | 0.278689 | + | 0.160901i | ||||
\(789\) | 16.0936 | − | 11.6631i | 0.572948 | − | 0.415217i | ||||
\(790\) | 9.65927 | 0.343661 | ||||||||
\(791\) | 5.68066 | + | 39.1787i | 0.201981 | + | 1.39303i | ||||
\(792\) | −2.71410 | − | 12.9220i | −0.0964415 | − | 0.459162i | ||||
\(793\) | −8.50678 | + | 4.91139i | −0.302085 | + | 0.174409i | ||||
\(794\) | −17.2521 | − | 9.96051i | −0.612254 | − | 0.353485i | ||||
\(795\) | −25.2787 | − | 11.2913i | −0.896543 | − | 0.400462i | ||||
\(796\) | −1.13615 | + | 0.655958i | −0.0402699 | + | 0.0232498i | ||||
\(797\) | 43.7396 | 1.54934 | 0.774669 | − | 0.632367i | \(-0.217917\pi\) | ||||
0.774669 | + | 0.632367i | \(0.217917\pi\) | |||||||
\(798\) | −9.90349 | − | 10.1908i | −0.350580 | − | 0.360749i | ||||
\(799\) | − | 57.0240i | − | 2.01736i | ||||||
\(800\) | −3.87238 | + | 2.23572i | −0.136909 | + | 0.0790446i | ||||
\(801\) | 0.328047 | − | 1.00140i | 0.0115910 | − | 0.0353828i | ||||
\(802\) | 9.81905 | + | 5.66903i | 0.346723 | + | 0.200181i | ||||
\(803\) | −23.7120 | − | 41.0705i | −0.836780 | − | 1.44935i | ||||
\(804\) | 5.91522 | − | 0.614506i | 0.208614 | − | 0.0216720i | ||||
\(805\) | 20.2111 | + | 33.4128i | 0.712348 | + | 1.17764i | ||||
\(806\) | 37.5070i | 1.32113i | ||||||||
\(807\) | −7.03285 | − | 9.70447i | −0.247568 | − | 0.341613i | ||||
\(808\) | −7.00352 | + | 12.1304i | −0.246383 | + | 0.426748i | ||||
\(809\) | 8.27549 | + | 4.77786i | 0.290951 | + | 0.167980i | 0.638371 | − | 0.769729i | \(-0.279609\pi\) |
−0.347420 | + | 0.937710i | \(0.612942\pi\) | |||||||
\(810\) | 16.3884 | − | 22.3295i | 0.575830 | − | 0.784578i | ||||
\(811\) | −19.8195 | −0.695957 | −0.347979 | − | 0.937502i | \(-0.613132\pi\) | ||||
−0.347979 | + | 0.937502i | \(0.613132\pi\) | |||||||
\(812\) | −2.92909 | + | 7.34183i | −0.102791 | + | 0.257648i | ||||
\(813\) | −4.22318 | − | 40.6522i | −0.148113 | − | 1.42573i | ||||
\(814\) | −2.34066 | − | 4.05415i | −0.0820402 | − | 0.142098i | ||||
\(815\) | −10.1717 | + | 17.6179i | −0.356299 | + | 0.617128i | ||||
\(816\) | −7.97715 | − | 3.56319i | −0.279256 | − | 0.124736i | ||||
\(817\) | −6.45655 | − | 11.1831i | −0.225886 | − | 0.391246i | ||||
\(818\) | 12.5469i | 0.438690i | ||||||||
\(819\) | −19.4530 | + | 23.2753i | −0.679742 | + | 0.813306i | ||||
\(820\) | − | 15.2813i | − | 0.533647i | ||||||
\(821\) | 32.7609 | − | 18.9145i | 1.14336 | − | 0.660121i | 0.196102 | − | 0.980583i | \(-0.437172\pi\) |
0.947261 | + | 0.320462i | \(0.103838\pi\) | |||||||
\(822\) | 10.0022 | − | 22.3927i | 0.348867 | − | 0.781034i | ||||
\(823\) | −13.1505 | + | 22.7773i | −0.458397 | + | 0.793967i | −0.998876 | − | 0.0473904i | \(-0.984910\pi\) |
0.540479 | + | 0.841357i | \(0.318243\pi\) | |||||||
\(824\) | 0.179367 | + | 0.310672i | 0.00624853 | + | 0.0108228i | ||||
\(825\) | 3.52220 | + | 33.9046i | 0.122627 | + | 1.18041i | ||||
\(826\) | −3.83858 | − | 26.4741i | −0.133561 | − | 0.921153i | ||||
\(827\) | 6.65800 | 0.231521 | 0.115761 | − | 0.993277i | \(-0.463069\pi\) | ||||
0.115761 | + | 0.993277i | \(0.463069\pi\) | |||||||
\(828\) | −1.19922 | − | 14.3374i | −0.0416758 | − | 0.498260i | ||||
\(829\) | 15.9243 | − | 27.5816i | 0.553072 | − | 0.957949i | −0.444978 | − | 0.895541i | \(-0.646789\pi\) |
0.998051 | − | 0.0624081i | \(-0.0198780\pi\) | |||||||
\(830\) | 23.0313 | + | 13.2971i | 0.799429 | + | 0.461551i | ||||
\(831\) | −5.27110 | + | 3.81998i | −0.182853 | + | 0.132514i | ||||
\(832\) | −3.82174 | −0.132495 | ||||||||
\(833\) | 8.24274 | − | 34.3337i | 0.285594 | − | 1.18959i | ||||
\(834\) | 6.08685 | − | 0.632336i | 0.210770 | − | 0.0218960i | ||||
\(835\) | −52.7588 | + | 30.4603i | −1.82579 | + | 1.05412i | ||||
\(836\) | −11.8196 | − | 6.82406i | −0.408790 | − | 0.236015i | ||||
\(837\) | −49.8426 | − | 10.7829i | −1.72281 | − | 0.372712i | ||||
\(838\) | −21.8289 | + | 12.6029i | −0.754066 | + | 0.435360i | ||||
\(839\) | −50.0728 | −1.72871 | −0.864353 | − | 0.502886i | \(-0.832272\pi\) | ||||
−0.864353 | + | 0.502886i | \(0.832272\pi\) | |||||||
\(840\) | 3.45508 | + | 13.6734i | 0.119211 | + | 0.471778i | ||||
\(841\) | 20.0740 | 0.692207 | ||||||||
\(842\) | 11.7663 | + | 20.3799i | 0.405495 | + | 0.702338i | ||||
\(843\) | −17.0972 | − | 7.63685i | −0.588857 | − | 0.263027i | ||||
\(844\) | 5.56294 | − | 9.63530i | 0.191484 | − | 0.331661i | ||||
\(845\) | 2.47082 | + | 4.27959i | 0.0849989 | + | 0.147222i | ||||
\(846\) | 33.1905 | − | 6.97127i | 1.14111 | − | 0.239677i | ||||
\(847\) | 17.3939 | − | 13.7123i | 0.597662 | − | 0.471159i | ||||
\(848\) | −5.19385 | −0.178357 | ||||||||
\(849\) | −10.2241 | − | 14.1080i | −0.350890 | − | 0.484185i | ||||
\(850\) | 19.5330 | + | 11.2774i | 0.669975 | + | 0.386810i | ||||
\(851\) | −1.98649 | − | 4.69825i | −0.0680961 | − | 0.161054i | ||||
\(852\) | 9.70629 | + | 13.3935i | 0.332532 | + | 0.458853i | ||||
\(853\) | 2.11079 | 0.0722719 | 0.0361360 | − | 0.999347i | \(-0.488495\pi\) | ||||
0.0361360 | + | 0.999347i | \(0.488495\pi\) | |||||||
\(854\) | 6.31610 | + | 2.51987i | 0.216133 | + | 0.0862280i | ||||
\(855\) | −5.88497 | − | 28.0186i | −0.201262 | − | 0.958216i | ||||
\(856\) | 4.46475 | − | 2.57772i | 0.152602 | − | 0.0881047i | ||||
\(857\) | 25.3079 | + | 14.6115i | 0.864501 | + | 0.499120i | 0.865517 | − | 0.500880i | \(-0.166990\pi\) |
−0.00101594 | + | 0.999999i | \(0.500323\pi\) | |||||||
\(858\) | −11.8820 | + | 26.6011i | −0.405646 | + | 0.908148i | ||||
\(859\) | 25.6115 | + | 44.3604i | 0.873854 | + | 1.51356i | 0.857979 | + | 0.513685i | \(0.171720\pi\) |
0.0158747 | + | 0.999874i | \(0.494947\pi\) | |||||||
\(860\) | 12.8158i | 0.437017i | ||||||||
\(861\) | −21.8925 | − | 6.20281i | −0.746095 | − | 0.211391i | ||||
\(862\) | 8.63368i | 0.294064i | ||||||||
\(863\) | −4.22037 | + | 2.43663i | −0.143663 | + | 0.0829439i | −0.570109 | − | 0.821569i | \(-0.693099\pi\) |
0.426446 | + | 0.904513i | \(0.359766\pi\) | |||||||
\(864\) | 1.09871 | − | 5.07866i | 0.0373790 | − | 0.172780i | ||||
\(865\) | 45.9491 | + | 26.5287i | 1.56232 | + | 0.902004i | ||||
\(866\) | −11.5107 | − | 19.9371i | −0.391150 | − | 0.677491i | ||||
\(867\) | 1.51120 | + | 14.5467i | 0.0513229 | + | 0.494033i | ||||
\(868\) | 20.3913 | − | 16.0752i | 0.692126 | − | 0.545629i | ||||
\(869\) | − | 13.8140i | − | 0.468606i | ||||||
\(870\) | −12.8954 | + | 9.34532i | −0.437195 | + | 0.316836i | ||||
\(871\) | −11.3640 | − | 6.56104i | −0.385056 | − | 0.222312i | ||||
\(872\) | 5.15520 | − | 8.92907i | 0.174577 | − | 0.302376i | ||||
\(873\) | −36.6100 | + | 32.8044i | −1.23906 | + | 1.11026i | ||||
\(874\) | −11.8643 | − | 8.96661i | −0.401317 | − | 0.303300i | ||||
\(875\) | 0.617569 | + | 4.25928i | 0.0208776 | + | 0.143990i | ||||
\(876\) | −1.92842 | − | 18.5630i | −0.0651554 | − | 0.627184i | ||||
\(877\) | −2.38313 | − | 4.12771i | −0.0804727 | − | 0.139383i | 0.822980 | − | 0.568070i | \(-0.192310\pi\) |
−0.903453 | + | 0.428687i | \(0.858976\pi\) | |||||||
\(878\) | 33.1942 | + | 19.1647i | 1.12025 | + | 0.646777i | ||||
\(879\) | 32.1813 | + | 14.3745i | 1.08545 | + | 0.484841i | ||||
\(880\) | 6.77266 | + | 11.7306i | 0.228306 | + | 0.395438i | ||||
\(881\) | 9.15443 | 0.308421 | 0.154210 | − | 0.988038i | \(-0.450717\pi\) | ||||
0.154210 | + | 0.988038i | \(0.450717\pi\) | |||||||
\(882\) | 20.9914 | + | 0.600302i | 0.706818 | + | 0.0202132i | ||||
\(883\) | 7.19339 | 0.242077 | 0.121038 | − | 0.992648i | \(-0.461378\pi\) | ||||
0.121038 | + | 0.992648i | \(0.461378\pi\) | |||||||
\(884\) | 9.63877 | + | 16.6948i | 0.324187 | + | 0.561508i | ||||
\(885\) | 21.9810 | − | 49.2103i | 0.738882 | − | 1.65419i | ||||
\(886\) | −10.4505 | + | 18.1008i | −0.351091 | + | 0.608107i | ||||
\(887\) | −13.3350 | + | 7.69894i | −0.447744 | + | 0.258505i | −0.706877 | − | 0.707337i | \(-0.749897\pi\) |
0.259133 | + | 0.965842i | \(0.416563\pi\) | |||||||
\(888\) | −0.190359 | − | 1.83239i | −0.00638802 | − | 0.0614909i | ||||
\(889\) | −3.79148 | − | 26.1493i | −0.127162 | − | 0.877020i | ||||
\(890\) | 1.08101i | 0.0362356i | ||||||||
\(891\) | −31.9339 | − | 23.4375i | −1.06983 | − | 0.785184i | ||||
\(892\) | 5.03033 | − | 8.71279i | 0.168428 | − | 0.291726i | ||||
\(893\) | 17.5278 | − | 30.3591i | 0.586547 | − | 1.01593i | ||||
\(894\) | −17.0110 | − | 23.4731i | −0.568934 | − | 0.785058i | ||||
\(895\) | 32.7932i | 1.09616i | ||||||||
\(896\) | 1.63797 | + | 2.07775i | 0.0547207 | + | 0.0694128i | ||||
\(897\) | −16.4213 | + | 27.1686i | −0.548292 | + | 0.907134i | ||||
\(898\) | 16.6149 | + | 28.7779i | 0.554448 | + | 0.960331i | ||||
\(899\) | 25.3928 | + | 14.6605i | 0.846896 | + | 0.488956i | ||||
\(900\) | −4.17600 | + | 12.7477i | −0.139200 | + | 0.424925i | ||||
\(901\) | 13.0994 | + | 22.6887i | 0.436403 | + | 0.755872i | ||||
\(902\) | −21.8542 | −0.727666 | ||||||||
\(903\) | 18.3604 | + | 5.20205i | 0.610995 | + | 0.173113i | ||||
\(904\) | 14.9630i | 0.497662i | ||||||||
\(905\) | 68.9397 | − | 39.8024i | 2.29163 | − | 1.32308i | ||||
\(906\) | 1.12114 | − | 2.50997i | 0.0372472 | − | 0.0833880i | ||||
\(907\) | −6.77884 | − | 3.91377i | −0.225088 | − | 0.129954i | 0.383216 | − | 0.923659i | \(-0.374816\pi\) |
−0.608304 | + | 0.793704i | \(0.708150\pi\) | |||||||
\(908\) | 13.6383 | + | 23.6222i | 0.452603 | + | 0.783931i | ||||
\(909\) | 8.63756 | + | 41.1238i | 0.286490 | + | 1.36399i | ||||
\(910\) | 11.5312 | − | 28.9031i | 0.382254 | − | 0.958129i | ||||
\(911\) | 34.4591 | 1.14168 | 0.570840 | − | 0.821061i | \(-0.306618\pi\) | ||||
0.570840 | + | 0.821061i | \(0.306618\pi\) | |||||||
\(912\) | −3.15173 | − | 4.34900i | −0.104364 | − | 0.144010i | ||||
\(913\) | 19.0166 | − | 32.9377i | 0.629357 | − | 1.09008i | ||||
\(914\) | 14.3398 | − | 24.8373i | 0.474320 | − | 0.821546i | ||||
\(915\) | 8.03969 | + | 11.0938i | 0.265784 | + | 0.366749i | ||||
\(916\) | − | 1.71152i | − | 0.0565503i | ||||||
\(917\) | −8.40176 | − | 10.6576i | −0.277451 | − | 0.351944i | ||||
\(918\) | −24.9566 | + | 8.00924i | −0.823692 | + | 0.264344i | ||||
\(919\) | 42.7272 | − | 24.6686i | 1.40944 | − | 0.813741i | 0.414107 | − | 0.910228i | \(-0.364094\pi\) |
0.995334 | + | 0.0964874i | \(0.0307607\pi\) | |||||||
\(920\) | 5.74788 | + | 13.5943i | 0.189502 | + | 0.448191i | ||||
\(921\) | 39.2016 | + | 17.5103i | 1.29174 | + | 0.576985i | ||||
\(922\) | −9.54737 | − | 16.5365i | −0.314426 | − | 0.544601i | ||||
\(923\) | − | 36.4970i | − | 1.20131i | ||||||
\(924\) | 19.5547 | − | 4.94119i | 0.643302 | − | 0.162553i | ||||
\(925\) | 4.75592i | 0.156374i | ||||||||
\(926\) | −32.0038 | + | 18.4774i | −1.05171 | + | 0.607206i | ||||
\(927\) | 1.02272 | + | 0.335031i | 0.0335906 | + | 0.0110039i | ||||
\(928\) | −1.49382 | + | 2.58737i | −0.0490370 | + | 0.0849346i | ||||
\(929\) | 18.5130 | − | 10.6885i | 0.607392 | − | 0.350678i | −0.164552 | − | 0.986368i | \(-0.552618\pi\) |
0.771944 | + | 0.635690i | \(0.219284\pi\) | |||||||
\(930\) | 52.0342 | − | 5.40560i | 1.70627 | − | 0.177257i | ||||
\(931\) | 14.9417 | − | 15.7453i | 0.489696 | − | 0.516033i | ||||
\(932\) | 2.86215i | 0.0937528i | ||||||||
\(933\) | −13.0401 | − | 17.9938i | −0.426914 | − | 0.589089i | ||||
\(934\) | −8.29571 | − | 4.78953i | −0.271444 | − | 0.156718i | ||||
\(935\) | 34.1625 | − | 59.1713i | 1.11723 | − | 1.93511i | ||||
\(936\) | −8.53879 | + | 7.65117i | −0.279099 | + | 0.250086i | ||||
\(937\) | − | 32.3195i | − | 1.05583i | −0.849297 | − | 0.527916i | \(-0.822974\pi\) | ||
0.849297 | − | 0.527916i | \(-0.177026\pi\) | |||||||
\(938\) | 1.30353 | + | 8.99027i | 0.0425618 | + | 0.293543i | ||||
\(939\) | −3.57058 | + | 0.370932i | −0.116522 | + | 0.0121049i | ||||
\(940\) | −30.1304 | + | 17.3958i | −0.982746 | + | 0.567389i | ||||
\(941\) | 4.81736 | − | 8.34391i | 0.157041 | − | 0.272004i | −0.776759 | − | 0.629798i | \(-0.783138\pi\) |
0.933800 | + | 0.357794i | \(0.116471\pi\) | |||||||
\(942\) | 32.3189 | + | 14.4360i | 1.05301 | + | 0.470350i | ||||
\(943\) | −23.6316 | − | 2.93535i | −0.769550 | − | 0.0955882i | ||||
\(944\) | − | 10.1109i | − | 0.329082i | ||||||
\(945\) | 35.0939 | + | 23.6330i | 1.14161 | + | 0.768781i | ||||
\(946\) | 18.3282 | 0.595903 | ||||||||
\(947\) | −5.69781 | + | 3.28963i | −0.185154 | + | 0.106899i | −0.589712 | − | 0.807614i | \(-0.700759\pi\) |
0.404558 | + | 0.914512i | \(0.367425\pi\) | |||||||
\(948\) | 2.21710 | − | 4.96357i | 0.0720079 | − | 0.161209i | ||||
\(949\) | −20.5896 | + | 35.6623i | −0.668368 | + | 1.15765i | ||||
\(950\) | 6.93280 | + | 12.0080i | 0.224930 | + | 0.389590i | ||||
\(951\) | 13.3750 | − | 1.38947i | 0.433716 | − | 0.0450568i | ||||
\(952\) | 4.94532 | − | 12.3956i | 0.160279 | − | 0.401743i | ||||
\(953\) | −52.4446 | −1.69885 | −0.849423 | − | 0.527713i | \(-0.823050\pi\) | ||||
−0.849423 | + | 0.527713i | \(0.823050\pi\) | |||||||
\(954\) | −11.6044 | + | 10.3981i | −0.375708 | + | 0.336652i | ||||
\(955\) | 24.3668 | − | 42.2046i | 0.788492 | − | 1.36571i | ||||
\(956\) | −17.5443 | − | 10.1292i | −0.567424 | − | 0.327602i | ||||
\(957\) | 13.3650 | + | 18.4420i | 0.432028 | + | 0.596145i | ||||
\(958\) | − | 42.8698i | − | 1.38506i | ||||||
\(959\) | 34.7956 | + | 13.8820i | 1.12361 | + | 0.448273i | ||||
\(960\) | 0.550799 | + | 5.30197i | 0.0177770 | + | 0.171120i | ||||
\(961\) | −32.6584 | − | 56.5661i | −1.05350 | − | 1.82471i | ||||
\(962\) | −2.03244 | + | 3.52030i | −0.0655286 | + | 0.113499i | ||||
\(963\) | 4.81481 | − | 14.6978i | 0.155155 | − | 0.473630i | ||||
\(964\) | −2.64764 | + | 1.52862i | −0.0852747 | + | 0.0492334i | ||||
\(965\) | −71.9838 | −2.31724 | ||||||||
\(966\) | 21.8087 | − | 2.71655i | 0.701684 | − | 0.0874037i | ||||
\(967\) | −7.47567 | −0.240401 | −0.120201 | − | 0.992750i | \(-0.538354\pi\) | ||||
−0.120201 | + | 0.992750i | \(0.538354\pi\) | |||||||
\(968\) | 7.24993 | − | 4.18575i | 0.233022 | − | 0.134535i | ||||
\(969\) | −11.0492 | + | 24.7366i | −0.354951 | + | 0.794653i | ||||
\(970\) | 25.2141 | − | 43.6720i | 0.809575 | − | 1.40222i | ||||
\(971\) | −21.2252 | − | 36.7631i | −0.681148 | − | 1.17978i | −0.974631 | − | 0.223819i | \(-0.928148\pi\) |
0.293483 | − | 0.955964i | \(-0.405186\pi\) | |||||||
\(972\) | −7.71272 | − | 13.5467i | −0.247386 | − | 0.434512i | ||||
\(973\) | 1.34135 | + | 9.25112i | 0.0430018 | + | 0.296577i | ||||
\(974\) | 13.5143i | 0.433025i | ||||||||
\(975\) | 23.9666 | − | 17.3686i | 0.767545 | − | 0.556242i | ||||
\(976\) | 2.22589 | + | 1.28512i | 0.0712491 | + | 0.0411357i | ||||
\(977\) | −8.40337 | + | 14.5551i | −0.268848 | + | 0.465658i | −0.968565 | − | 0.248762i | \(-0.919976\pi\) |
0.699717 | + | 0.714420i | \(0.253310\pi\) | |||||||
\(978\) | 6.71852 | + | 9.27073i | 0.214835 | + | 0.296445i | ||||
\(979\) | 1.54598 | 0.0494098 | ||||||||
\(980\) | −20.6558 | + | 6.11856i | −0.659826 | + | 0.195450i | ||||
\(981\) | −6.35800 | − | 30.2707i | −0.202995 | − | 0.966469i | ||||
\(982\) | −2.63117 | − | 4.55732i | −0.0839640 | − | 0.145430i | ||||
\(983\) | 24.7168 | − | 42.8108i | 0.788344 | − | 1.36545i | −0.138637 | − | 0.990343i | \(-0.544272\pi\) |
0.926981 | − | 0.375109i | \(-0.122395\pi\) | |||||||
\(984\) | −7.85255 | − | 3.50753i | −0.250330 | − | 0.111816i | ||||
\(985\) | −24.0764 | + | 13.9005i | −0.767138 | + | 0.442907i | ||||
\(986\) | 15.0702 | 0.479933 | ||||||||
\(987\) | 12.6916 | + | 50.2269i | 0.403978 | + | 1.59874i | ||||
\(988\) | 11.8509i | 0.377028i | ||||||||
\(989\) | 19.8188 | + | 2.46176i | 0.630203 | + | 0.0782794i | ||||
\(990\) | 38.6167 | + | 12.6503i | 1.22732 | + | 0.402054i | ||||
\(991\) | 1.28196 | − | 2.22043i | 0.0407230 | − | 0.0705342i | −0.844946 | − | 0.534852i | \(-0.820367\pi\) |
0.885668 | + | 0.464318i | \(0.153701\pi\) | |||||||
\(992\) | 8.49927 | − | 4.90706i | 0.269852 | − | 0.155799i | ||||
\(993\) | 4.23994 | + | 40.8136i | 0.134550 | + | 1.29518i | ||||
\(994\) | −19.8422 | + | 15.6423i | −0.629356 | + | 0.496145i | ||||
\(995\) | − | 4.03751i | − | 0.127998i | ||||||
\(996\) | 12.1193 | − | 8.78291i | 0.384016 | − | 0.278297i | ||||
\(997\) | −2.31318 | + | 4.00654i | −0.0732590 | + | 0.126888i | −0.900328 | − | 0.435212i | \(-0.856673\pi\) |
0.827069 | + | 0.562101i | \(0.190007\pi\) | |||||||
\(998\) | −26.5276 | − | 15.3157i | −0.839716 | − | 0.484810i | ||||
\(999\) | −4.09377 | − | 3.71294i | −0.129521 | − | 0.117472i |
(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 | 966.2.j.a.137.6 | yes | 128 | |
3.2 | odd | 2 | inner | 966.2.j.a.137.57 | yes | 128 | |
7.2 | even | 3 | inner | 966.2.j.a.275.58 | yes | 128 | |
21.2 | odd | 6 | inner | 966.2.j.a.275.5 | yes | 128 | |
23.22 | odd | 2 | inner | 966.2.j.a.137.5 | ✓ | 128 | |
69.68 | even | 2 | inner | 966.2.j.a.137.58 | yes | 128 | |
161.114 | odd | 6 | inner | 966.2.j.a.275.57 | yes | 128 | |
483.275 | even | 6 | inner | 966.2.j.a.275.6 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.j.a.137.5 | ✓ | 128 | 23.22 | odd | 2 | inner | |
966.2.j.a.137.6 | yes | 128 | 1.1 | even | 1 | trivial | |
966.2.j.a.137.57 | yes | 128 | 3.2 | odd | 2 | inner | |
966.2.j.a.137.58 | yes | 128 | 69.68 | even | 2 | inner | |
966.2.j.a.275.5 | yes | 128 | 21.2 | odd | 6 | inner | |
966.2.j.a.275.6 | yes | 128 | 483.275 | even | 6 | inner | |
966.2.j.a.275.57 | yes | 128 | 161.114 | odd | 6 | inner | |
966.2.j.a.275.58 | yes | 128 | 7.2 | even | 3 | inner |