Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(109,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.v (of order \(8\), 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 325.11 | ||
Character | \(\chi\) | \(=\) | 864.325 |
Dual form | 864.2.v.a.109.11 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.791979 | − | 1.17165i | −0.560013 | − | 0.828484i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.745540 | + | 1.85585i | −0.372770 | + | 0.927924i | ||||
\(5\) | 2.17386 | + | 0.900442i | 0.972179 | + | 0.402690i | 0.811523 | − | 0.584321i | \(-0.198639\pi\) |
0.160656 | + | 0.987010i | \(0.448639\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.13840 | − | 1.13840i | −0.430276 | − | 0.430276i | 0.458446 | − | 0.888722i | \(-0.348406\pi\) |
−0.888722 | + | 0.458446i | \(0.848406\pi\) | |||||||
\(8\) | 2.76486 | − | 0.596278i | 0.977526 | − | 0.210816i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.666644 | − | 3.26014i | −0.210811 | − | 1.03095i | ||||
\(11\) | −1.16219 | + | 2.80577i | −0.350413 | + | 0.845971i | 0.646156 | + | 0.763205i | \(0.276375\pi\) |
−0.996569 | + | 0.0827662i | \(0.973625\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.29700 | − | 2.19409i | 1.46912 | − | 0.608531i | 0.502465 | − | 0.864597i | \(-0.332426\pi\) |
0.966659 | + | 0.256066i | \(0.0824264\pi\) | |||||||
\(14\) | −0.432223 | + | 2.23541i | −0.115516 | + | 0.597437i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.88834 | − | 2.76722i | −0.722085 | − | 0.691804i | ||||
\(17\) | 1.37204i | 0.332768i | 0.986061 | + | 0.166384i | \(0.0532092\pi\) | ||||
−0.986061 | + | 0.166384i | \(0.946791\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.435446 | + | 0.180368i | −0.0998982 | + | 0.0413792i | −0.432073 | − | 0.901839i | \(-0.642218\pi\) |
0.332175 | + | 0.943218i | \(0.392218\pi\) | |||||||
\(20\) | −3.29178 | + | 3.36303i | −0.736064 | + | 0.751997i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.20782 | − | 0.860429i | 0.897109 | − | 0.183444i | ||||
\(23\) | −0.900399 | + | 0.900399i | −0.187746 | + | 0.187746i | −0.794721 | − | 0.606975i | \(-0.792383\pi\) |
0.606975 | + | 0.794721i | \(0.292383\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.379330 | + | 0.379330i | 0.0758661 | + | 0.0758661i | ||||
\(26\) | −6.76583 | − | 4.46858i | −1.32689 | − | 0.876360i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.96143 | − | 1.26398i | 0.559658 | − | 0.238870i | ||||
\(29\) | 2.18893 | + | 5.28455i | 0.406475 | + | 0.981317i | 0.986058 | + | 0.166404i | \(0.0532155\pi\) |
−0.579583 | + | 0.814913i | \(0.696785\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.64689 | 0.655001 | 0.327500 | − | 0.944851i | \(-0.393794\pi\) | ||||
0.327500 | + | 0.944851i | \(0.393794\pi\) | |||||||
\(32\) | −0.954714 | + | 5.57571i | −0.168771 | + | 0.985655i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.60755 | − | 1.08662i | 0.275693 | − | 0.186355i | ||||
\(35\) | −1.44966 | − | 3.49980i | −0.245038 | − | 0.591573i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 10.4431 | + | 4.32566i | 1.71683 | + | 0.711134i | 0.999902 | + | 0.0139853i | \(0.00445180\pi\) |
0.716927 | + | 0.697149i | \(0.245548\pi\) | |||||||
\(38\) | 0.556192 | + | 0.367344i | 0.0902263 | + | 0.0595911i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.54733 | + | 1.19337i | 1.03522 | + | 0.188689i | ||||
\(41\) | 3.37936 | − | 3.37936i | 0.527767 | − | 0.527767i | −0.392139 | − | 0.919906i | \(-0.628265\pi\) |
0.919906 | + | 0.392139i | \(0.128265\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.290826 | + | 0.702117i | −0.0443506 | + | 0.107072i | −0.944502 | − | 0.328505i | \(-0.893455\pi\) |
0.900152 | + | 0.435576i | \(0.143455\pi\) | |||||||
\(44\) | −4.34062 | − | 4.24866i | −0.654374 | − | 0.640509i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.76805 | + | 0.341858i | 0.260685 | + | 0.0504043i | ||||
\(47\) | 9.15553i | 1.33547i | 0.744398 | + | 0.667736i | \(0.232736\pi\) | ||||
−0.744398 | + | 0.667736i | \(0.767264\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 4.40807i | − | 0.629725i | ||||||
\(50\) | 0.144022 | − | 0.744865i | 0.0203678 | − | 0.105340i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.122770 | + | 11.4662i | 0.0170251 | + | 1.59008i | ||||
\(53\) | 0.279738 | − | 0.675348i | 0.0384250 | − | 0.0927662i | −0.903502 | − | 0.428584i | \(-0.859013\pi\) |
0.941927 | + | 0.335818i | \(0.109013\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.05286 | + | 5.05286i | −0.681328 | + | 0.681328i | ||||
\(56\) | −3.82633 | − | 2.46872i | −0.511315 | − | 0.329897i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.45807 | − | 6.74992i | 0.585374 | − | 0.886308i | ||||
\(59\) | 9.51130 | + | 3.93971i | 1.23827 | + | 0.512906i | 0.903172 | − | 0.429278i | \(-0.141232\pi\) |
0.335094 | + | 0.942185i | \(0.391232\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.14636 | − | 7.59599i | −0.402850 | − | 0.972566i | −0.986971 | − | 0.160899i | \(-0.948560\pi\) |
0.584121 | − | 0.811667i | \(-0.301440\pi\) | |||||||
\(62\) | −2.88826 | − | 4.27289i | −0.366809 | − | 0.542657i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.28891 | − | 3.29725i | 0.911113 | − | 0.412156i | ||||
\(65\) | 13.4906 | 1.67330 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.00791 | + | 4.84753i | 0.245306 | + | 0.592221i | 0.997794 | − | 0.0663851i | \(-0.0211466\pi\) |
−0.752488 | + | 0.658606i | \(0.771147\pi\) | |||||||
\(68\) | −2.54629 | − | 1.02291i | −0.308783 | − | 0.124046i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.95244 | + | 4.47026i | −0.352884 | + | 0.534299i | ||||
\(71\) | 3.53207 | + | 3.53207i | 0.419180 | + | 0.419180i | 0.884921 | − | 0.465741i | \(-0.154212\pi\) |
−0.465741 | + | 0.884921i | \(0.654212\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.79474 | + | 4.79474i | −0.561182 | + | 0.561182i | −0.929643 | − | 0.368461i | \(-0.879885\pi\) |
0.368461 | + | 0.929643i | \(0.379885\pi\) | |||||||
\(74\) | −3.20251 | − | 15.6615i | −0.372285 | − | 1.82061i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0100924 | − | 0.942593i | −0.00115768 | − | 0.108123i | ||||
\(77\) | 4.51714 | − | 1.87106i | 0.514776 | − | 0.213227i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 14.3012i | − | 1.60902i | −0.593942 | − | 0.804508i | \(-0.702429\pi\) | ||
0.593942 | − | 0.804508i | \(-0.297571\pi\) | |||||||
\(80\) | −3.78712 | − | 8.61632i | −0.423413 | − | 0.963334i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.63581 | − | 1.28305i | −0.732803 | − | 0.141690i | ||||
\(83\) | 7.87490 | − | 3.26189i | 0.864383 | − | 0.358039i | 0.0939626 | − | 0.995576i | \(-0.470047\pi\) |
0.770420 | + | 0.637537i | \(0.220047\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.23544 | + | 2.98262i | −0.134002 | + | 0.323510i | ||||
\(86\) | 1.05296 | − | 0.215314i | 0.113544 | − | 0.0232179i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.54027 | + | 8.45055i | −0.164193 | + | 0.900831i | ||||
\(89\) | −1.44497 | − | 1.44497i | −0.153166 | − | 0.153166i | 0.626364 | − | 0.779531i | \(-0.284542\pi\) |
−0.779531 | + | 0.626364i | \(0.784542\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.52789 | − | 3.53237i | −0.893966 | − | 0.370293i | ||||
\(92\) | −0.999720 | − | 2.34229i | −0.104228 | − | 0.244200i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.7271 | − | 7.25099i | 1.10642 | − | 0.747882i | ||||
\(95\) | −1.10901 | −0.113782 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.99231 | 0.913031 | 0.456515 | − | 0.889716i | \(-0.349097\pi\) | ||||
0.456515 | + | 0.889716i | \(0.349097\pi\) | |||||||
\(98\) | −5.16473 | + | 3.49110i | −0.521716 | + | 0.352654i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.986785 | + | 0.421173i | −0.0986785 | + | 0.0421173i | ||||
\(101\) | −14.4378 | − | 5.98033i | −1.43662 | − | 0.595065i | −0.477640 | − | 0.878556i | \(-0.658508\pi\) |
−0.958975 | + | 0.283490i | \(0.908508\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.43674 | − | 7.43674i | −0.732764 | − | 0.732764i | 0.238403 | − | 0.971166i | \(-0.423376\pi\) |
−0.971166 | + | 0.238403i | \(0.923376\pi\) | |||||||
\(104\) | 13.3372 | − | 9.22484i | 1.30782 | − | 0.904570i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.01282 | + | 0.207105i | −0.0983737 | + | 0.0201158i | ||||
\(107\) | 4.29647 | − | 10.3726i | 0.415355 | − | 1.00276i | −0.568321 | − | 0.822807i | \(-0.692407\pi\) |
0.983676 | − | 0.179949i | \(-0.0575933\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.2468 | − | 4.24435i | 0.981463 | − | 0.406535i | 0.166496 | − | 0.986042i | \(-0.446755\pi\) |
0.814967 | + | 0.579507i | \(0.196755\pi\) | |||||||
\(110\) | 9.92196 | + | 1.91844i | 0.946022 | + | 0.182916i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.137887 | + | 6.43831i | 0.0130291 | + | 0.608363i | ||||
\(113\) | 21.0084i | 1.97630i | 0.153489 | + | 0.988150i | \(0.450949\pi\) | ||||
−0.153489 | + | 0.988150i | \(0.549051\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.76810 | + | 1.14658i | −0.258126 | + | 0.106919i | ||||
\(116\) | −11.4393 | + | 0.122481i | −1.06211 | + | 0.0113721i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.91677 | − | 14.2641i | −0.268511 | − | 1.31312i | ||||
\(119\) | 1.56193 | − | 1.56193i | 0.143182 | − | 0.143182i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.25651 | + | 1.25651i | 0.114228 | + | 0.114228i | ||||
\(122\) | −6.40801 | + | 9.70230i | −0.580154 | + | 0.878405i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.71890 | + | 6.76807i | −0.244165 | + | 0.607791i | ||||
\(125\) | −4.01916 | − | 9.70312i | −0.359485 | − | 0.867873i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.8496 | −1.49516 | −0.747579 | − | 0.664173i | \(-0.768784\pi\) | ||||
−0.747579 | + | 0.664173i | \(0.768784\pi\) | |||||||
\(128\) | −9.63589 | − | 5.92872i | −0.851700 | − | 0.524029i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −10.6843 | − | 15.8063i | −0.937071 | − | 1.38630i | ||||
\(131\) | −7.26316 | − | 17.5348i | −0.634585 | − | 1.53202i | −0.833799 | − | 0.552068i | \(-0.813839\pi\) |
0.199214 | − | 0.979956i | \(-0.436161\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.701045 | + | 0.290382i | 0.0607883 | + | 0.0251793i | ||||
\(134\) | 4.08940 | − | 6.19172i | 0.353270 | − | 0.534883i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.818116 | + | 3.79349i | 0.0701528 | + | 0.325289i | ||||
\(137\) | 9.61855 | − | 9.61855i | 0.821768 | − | 0.821768i | −0.164593 | − | 0.986362i | \(-0.552631\pi\) |
0.986362 | + | 0.164593i | \(0.0526311\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.39391 | + | 17.8505i | −0.627144 | + | 1.51406i | 0.216013 | + | 0.976391i | \(0.430695\pi\) |
−0.843156 | + | 0.537668i | \(0.819305\pi\) | |||||||
\(140\) | 7.57587 | − | 0.0811156i | 0.640278 | − | 0.00685552i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.34104 | − | 6.93569i | 0.112537 | − | 0.582030i | ||||
\(143\) | 17.4121i | 1.45607i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 13.4589i | 1.11770i | ||||||||
\(146\) | 9.41510 | + | 1.82044i | 0.779199 | + | 0.150661i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −15.8135 | + | 16.1558i | −1.29986 | + | 1.32800i | ||||
\(149\) | −5.64285 | + | 13.6230i | −0.462280 | + | 1.11604i | 0.505178 | + | 0.863015i | \(0.331427\pi\) |
−0.967459 | + | 0.253029i | \(0.918573\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.30621 | + | 5.30621i | −0.431814 | + | 0.431814i | −0.889245 | − | 0.457431i | \(-0.848770\pi\) |
0.457431 | + | 0.889245i | \(0.348770\pi\) | |||||||
\(152\) | −1.09640 | + | 0.758338i | −0.0889297 | + | 0.0615094i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.76971 | − | 3.81068i | −0.464936 | − | 0.307073i | ||||
\(155\) | 7.92782 | + | 3.28381i | 0.636778 | + | 0.263762i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.30883 | + | 7.98822i | 0.264073 | + | 0.637529i | 0.999183 | − | 0.0404192i | \(-0.0128693\pi\) |
−0.735110 | + | 0.677948i | \(0.762869\pi\) | |||||||
\(158\) | −16.7561 | + | 11.3263i | −1.33304 | + | 0.901070i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.09601 | + | 11.2611i | −0.560989 | + | 0.890271i | ||||
\(161\) | 2.05004 | 0.161566 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.00338 | − | 14.4934i | −0.470221 | − | 1.13521i | −0.964066 | − | 0.265663i | \(-0.914409\pi\) |
0.493845 | − | 0.869550i | \(-0.335591\pi\) | |||||||
\(164\) | 3.75213 | + | 8.79102i | 0.292992 | + | 0.686463i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.0586 | − | 6.64330i | −0.780695 | − | 0.515620i | ||||
\(167\) | 7.23326 | + | 7.23326i | 0.559726 | + | 0.559726i | 0.929230 | − | 0.369503i | \(-0.120472\pi\) |
−0.369503 | + | 0.929230i | \(0.620472\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 14.0518 | − | 14.0518i | 1.08091 | − | 1.08091i | ||||
\(170\) | 4.47303 | − | 0.914661i | 0.343066 | − | 0.0701513i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.08620 | − | 1.06319i | −0.0828219 | − | 0.0810671i | ||||
\(173\) | −15.6305 | + | 6.47436i | −1.18836 | + | 0.492236i | −0.887222 | − | 0.461343i | \(-0.847368\pi\) |
−0.301142 | + | 0.953579i | \(0.597368\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 0.863663i | − | 0.0652868i | ||||||
\(176\) | 11.1210 | − | 4.88799i | 0.838274 | − | 0.368446i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.548618 | + | 2.83739i | −0.0411206 | + | 0.212671i | ||||
\(179\) | −2.28703 | + | 0.947320i | −0.170941 | + | 0.0708060i | −0.466513 | − | 0.884514i | \(-0.654490\pi\) |
0.295572 | + | 0.955320i | \(0.404490\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.08921 | + | 17.1149i | −0.526937 | + | 1.27214i | 0.406584 | + | 0.913613i | \(0.366720\pi\) |
−0.933521 | + | 0.358524i | \(0.883280\pi\) | |||||||
\(182\) | 2.61520 | + | 12.7893i | 0.193851 | + | 0.948005i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.95259 | + | 3.02637i | −0.143947 | + | 0.223107i | ||||
\(185\) | 18.8067 | + | 18.8067i | 1.38270 | + | 1.38270i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.84962 | − | 1.59457i | −0.281512 | − | 0.116606i | ||||
\(188\) | −16.9913 | − | 6.82582i | −1.23922 | − | 0.497824i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.878311 | + | 1.29937i | 0.0637194 | + | 0.0942664i | ||||
\(191\) | −3.56032 | −0.257616 | −0.128808 | − | 0.991670i | \(-0.541115\pi\) | ||||
−0.128808 | + | 0.991670i | \(0.541115\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.0572 | 0.867899 | 0.433949 | − | 0.900937i | \(-0.357120\pi\) | ||||
0.433949 | + | 0.900937i | \(0.357120\pi\) | |||||||
\(194\) | −7.12172 | − | 10.5359i | −0.511309 | − | 0.756431i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.18071 | + | 3.28639i | 0.584336 | + | 0.234742i | ||||
\(197\) | −15.8704 | − | 6.57373i | −1.13072 | − | 0.468359i | −0.262693 | − | 0.964879i | \(-0.584611\pi\) |
−0.868025 | + | 0.496521i | \(0.834611\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.0161 | + | 16.0161i | 1.13535 | + | 1.13535i | 0.989274 | + | 0.146075i | \(0.0466640\pi\) |
0.146075 | + | 0.989274i | \(0.453336\pi\) | |||||||
\(200\) | 1.27498 | + | 0.822609i | 0.0901548 | + | 0.0581673i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.42756 | + | 21.6524i | 0.311522 | + | 1.52346i | ||||
\(203\) | 3.52407 | − | 8.50785i | 0.247341 | − | 0.597134i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.3892 | − | 4.30333i | 0.725610 | − | 0.300558i | ||||
\(206\) | −2.82354 | + | 14.6030i | −0.196725 | + | 1.01744i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −21.3711 | − | 8.32068i | −1.48182 | − | 0.576935i | ||||
\(209\) | − | 1.43138i | − | 0.0990108i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.74128 | − | 2.37812i | 0.395246 | − | 0.163716i | −0.176203 | − | 0.984354i | \(-0.556382\pi\) |
0.571449 | + | 0.820638i | \(0.306382\pi\) | |||||||
\(212\) | 1.04479 | + | 1.02265i | 0.0717562 | + | 0.0702359i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −15.5558 | + | 3.18090i | −1.06337 | + | 0.217442i | ||||
\(215\) | −1.26443 | + | 1.26443i | −0.0862334 | + | 0.0862334i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.15164 | − | 4.15164i | −0.281831 | − | 0.281831i | ||||
\(218\) | −13.0881 | − | 8.64422i | −0.886440 | − | 0.585461i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.61023 | − | 13.1445i | −0.378242 | − | 0.886199i | ||||
\(221\) | 3.01038 | + | 7.26769i | 0.202500 | + | 0.488878i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.2386 | −1.08742 | −0.543709 | − | 0.839274i | \(-0.682981\pi\) | ||||
−0.543709 | + | 0.839274i | \(0.682981\pi\) | |||||||
\(224\) | 7.43426 | − | 5.26056i | 0.496722 | − | 0.351486i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 24.6145 | − | 16.6382i | 1.63733 | − | 1.10675i | ||||
\(227\) | 2.28158 | + | 5.50822i | 0.151434 | + | 0.365594i | 0.981332 | − | 0.192321i | \(-0.0616016\pi\) |
−0.829898 | + | 0.557915i | \(0.811602\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.1593 | − | 7.10762i | −1.13392 | − | 0.469685i | −0.264808 | − | 0.964301i | \(-0.585308\pi\) |
−0.869111 | + | 0.494617i | \(0.835308\pi\) | |||||||
\(230\) | 3.53567 | + | 2.33518i | 0.233135 | + | 0.153977i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.20316 | + | 13.3058i | 0.604217 | + | 0.873571i | ||||
\(233\) | −4.96931 | + | 4.96931i | −0.325550 | + | 0.325550i | −0.850892 | − | 0.525341i | \(-0.823938\pi\) |
0.525341 | + | 0.850892i | \(0.323938\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.24402 | + | 19.9028i | −0.537781 | + | 1.29832i | ||||
\(236\) | −14.4026 | + | 14.7143i | −0.937526 | + | 0.957820i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3.06706 | − | 0.593026i | −0.198808 | − | 0.0384402i | ||||
\(239\) | − | 5.43978i | − | 0.351870i | −0.984402 | − | 0.175935i | \(-0.943705\pi\) | ||
0.984402 | − | 0.175935i | \(-0.0562948\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.47197i | 0.223649i | 0.993728 | + | 0.111825i | \(0.0356695\pi\) | ||||
−0.993728 | + | 0.111825i | \(0.964331\pi\) | |||||||
\(242\) | 0.477065 | − | 2.46733i | 0.0306669 | − | 0.158606i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 16.4427 | − | 0.176054i | 1.05264 | − | 0.0112707i | ||||
\(245\) | 3.96921 | − | 9.58252i | 0.253584 | − | 0.612205i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.91082 | + | 1.91082i | −0.121582 | + | 0.121582i | ||||
\(248\) | 10.0831 | − | 2.17456i | 0.640280 | − | 0.138085i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.18559 | + | 12.3937i | −0.517702 | + | 0.783848i | ||||
\(251\) | −18.3761 | − | 7.61163i | −1.15989 | − | 0.480442i | −0.282052 | − | 0.959399i | \(-0.591015\pi\) |
−0.877838 | + | 0.478957i | \(0.841015\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.47988 | − | 3.57275i | −0.0930393 | − | 0.224617i | ||||
\(254\) | 13.3445 | + | 19.7419i | 0.837309 | + | 1.23871i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.685019 | + | 15.9853i | 0.0428137 | + | 0.999083i | ||||
\(257\) | −0.252444 | −0.0157470 | −0.00787352 | − | 0.999969i | \(-0.502506\pi\) | ||||
−0.00787352 | + | 0.999969i | \(0.502506\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.96408 | − | 16.8128i | −0.432727 | − | 1.04469i | ||||
\(260\) | −10.0578 | + | 25.0365i | −0.623757 | + | 1.55270i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −14.7924 | + | 22.3971i | −0.913880 | + | 1.38370i | ||||
\(263\) | 0.736993 | + | 0.736993i | 0.0454449 | + | 0.0454449i | 0.729464 | − | 0.684019i | \(-0.239770\pi\) |
−0.684019 | + | 0.729464i | \(0.739770\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.21622 | − | 1.21622i | 0.0747119 | − | 0.0747119i | ||||
\(266\) | −0.214985 | − | 1.05136i | −0.0131816 | − | 0.0644629i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.4933 | + | 0.112352i | −0.640978 | + | 0.00686302i | ||||
\(269\) | 11.7788 | − | 4.87892i | 0.718163 | − | 0.297473i | 0.00648551 | − | 0.999979i | \(-0.497936\pi\) |
0.711678 | + | 0.702506i | \(0.247936\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.79934i | 0.352285i | 0.984365 | + | 0.176142i | \(0.0563619\pi\) | ||||
−0.984365 | + | 0.176142i | \(0.943638\pi\) | |||||||
\(272\) | 3.79673 | − | 3.96291i | 0.230210 | − | 0.240287i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.8873 | − | 3.65192i | −1.14102 | − | 0.220620i | ||||
\(275\) | −1.50517 | + | 0.623461i | −0.0907650 | + | 0.0375961i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.73705 | − | 6.60783i | 0.164453 | − | 0.397026i | −0.820074 | − | 0.572258i | \(-0.806068\pi\) |
0.984527 | + | 0.175232i | \(0.0560676\pi\) | |||||||
\(278\) | 26.7704 | − | 5.47410i | 1.60558 | − | 0.328315i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.09496 | − | 8.81204i | −0.364244 | − | 0.526620i | ||||
\(281\) | −14.9553 | − | 14.9553i | −0.892161 | − | 0.892161i | 0.102566 | − | 0.994726i | \(-0.467295\pi\) |
−0.994726 | + | 0.102566i | \(0.967295\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −28.8306 | − | 11.9420i | −1.71380 | − | 0.709880i | −0.999954 | − | 0.00957841i | \(-0.996951\pi\) |
−0.713847 | − | 0.700301i | \(-0.753049\pi\) | |||||||
\(284\) | −9.18829 | + | 3.92169i | −0.545225 | + | 0.232709i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 20.4010 | − | 13.7900i | 1.20633 | − | 0.815421i | ||||
\(287\) | −7.69415 | −0.454171 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.1175 | 0.889265 | ||||||||
\(290\) | 15.7691 | − | 10.6591i | 0.925995 | − | 0.625926i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.32364 | − | 12.4730i | −0.311542 | − | 0.729926i | ||||
\(293\) | −8.68957 | − | 3.59934i | −0.507650 | − | 0.210276i | 0.114132 | − | 0.993466i | \(-0.463591\pi\) |
−0.621782 | + | 0.783190i | \(0.713591\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 17.1287 | + | 17.1287i | 0.997274 | + | 0.997274i | ||||
\(296\) | 31.4529 | + | 5.73288i | 1.82816 | + | 0.333217i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 20.4305 | − | 4.17770i | 1.18351 | − | 0.242008i | ||||
\(299\) | −2.79386 | + | 6.74498i | −0.161573 | + | 0.390072i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.13037 | − | 0.468215i | 0.0651535 | − | 0.0269874i | ||||
\(302\) | 10.4194 | + | 2.01463i | 0.599572 | + | 0.115929i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.75683 | + | 0.684011i | 0.100761 | + | 0.0392307i | ||||
\(305\) | − | 19.3457i | − | 1.10773i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 15.1584 | − | 6.27880i | 0.865134 | − | 0.358350i | 0.0944206 | − | 0.995532i | \(-0.469900\pi\) |
0.770713 | + | 0.637182i | \(0.219900\pi\) | |||||||
\(308\) | 0.104695 | + | 9.77807i | 0.00596554 | + | 0.557157i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.43118 | − | 11.8894i | −0.138082 | − | 0.675270i | ||||
\(311\) | −0.739873 | + | 0.739873i | −0.0419544 | + | 0.0419544i | −0.727773 | − | 0.685818i | \(-0.759444\pi\) |
0.685818 | + | 0.727773i | \(0.259444\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −14.0483 | − | 14.0483i | −0.794057 | − | 0.794057i | 0.188094 | − | 0.982151i | \(-0.439769\pi\) |
−0.982151 | + | 0.188094i | \(0.939769\pi\) | |||||||
\(314\) | 6.73889 | − | 10.2033i | 0.380298 | − | 0.575805i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 26.5409 | + | 10.6621i | 1.49304 | + | 0.599793i | ||||
\(317\) | −10.6324 | − | 25.6688i | −0.597173 | − | 1.44170i | −0.876450 | − | 0.481493i | \(-0.840095\pi\) |
0.279277 | − | 0.960211i | \(-0.409905\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −17.3712 | −0.972600 | ||||||||
\(320\) | 18.8140 | − | 0.604516i | 1.05174 | − | 0.0337935i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.62359 | − | 2.40193i | −0.0904789 | − | 0.133854i | ||||
\(323\) | −0.247471 | − | 0.597449i | −0.0137697 | − | 0.0332429i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.84160 | + | 1.17703i | 0.157624 | + | 0.0652898i | ||||
\(326\) | −12.2267 | + | 18.5124i | −0.677176 | + | 1.02530i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.32842 | − | 11.3585i | 0.404644 | − | 0.627168i | ||||
\(329\) | 10.4227 | − | 10.4227i | 0.574622 | − | 0.574622i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.1989 | − | 24.6224i | 0.560584 | − | 1.35337i | −0.348715 | − | 0.937229i | \(-0.613382\pi\) |
0.909300 | − | 0.416142i | \(-0.136618\pi\) | |||||||
\(332\) | 0.182518 | + | 17.0465i | 0.0100170 | + | 0.935547i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.74628 | − | 14.2035i | 0.150270 | − | 0.777178i | ||||
\(335\) | 12.3459i | 0.674526i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.21363i | 0.284005i | 0.989866 | + | 0.142002i | \(0.0453541\pi\) | ||||
−0.989866 | + | 0.142002i | \(0.954646\pi\) | |||||||
\(338\) | −27.5926 | − | 5.33512i | −1.50084 | − | 0.290192i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.61421 | − | 4.51645i | −0.250241 | − | 0.244939i | ||||
\(341\) | −4.23837 | + | 10.2323i | −0.229521 | + | 0.554112i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.9870 | + | 12.9870i | −0.701232 | + | 0.701232i | ||||
\(344\) | −0.385438 | + | 2.11467i | −0.0207814 | + | 0.114015i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 19.9647 | + | 13.1859i | 1.07331 | + | 0.708881i | ||||
\(347\) | −28.4977 | − | 11.8041i | −1.52984 | − | 0.633680i | −0.550305 | − | 0.834964i | \(-0.685489\pi\) |
−0.979533 | + | 0.201284i | \(0.935489\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.28893 | − | 15.1828i | −0.336639 | − | 0.812718i | −0.998034 | − | 0.0626799i | \(-0.980035\pi\) |
0.661395 | − | 0.750038i | \(-0.269965\pi\) | |||||||
\(350\) | −1.01191 | + | 0.684002i | −0.0540890 | + | 0.0365615i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −14.5346 | − | 9.15873i | −0.774697 | − | 0.488162i | ||||
\(353\) | 10.1322 | 0.539285 | 0.269643 | − | 0.962960i | \(-0.413094\pi\) | ||||
0.269643 | + | 0.962960i | \(0.413094\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.49780 | + | 10.8586i | 0.238718 | + | 0.576317i | ||||
\(356\) | 3.75893 | − | 1.60436i | 0.199223 | − | 0.0850309i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.92121 | + | 1.92935i | 0.154391 | + | 0.101969i | ||||
\(359\) | 3.70820 | + | 3.70820i | 0.195711 | + | 0.195711i | 0.798159 | − | 0.602447i | \(-0.205808\pi\) |
−0.602447 | + | 0.798159i | \(0.705808\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.2779 | + | 13.2779i | −0.698839 | + | 0.698839i | ||||
\(362\) | 25.6672 | − | 5.24851i | 1.34904 | − | 0.275856i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 12.9134 | − | 13.1929i | 0.676847 | − | 0.691498i | ||||
\(365\) | −14.7405 | + | 6.10570i | −0.771551 | + | 0.319587i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 16.6849i | − | 0.870945i | −0.900202 | − | 0.435473i | \(-0.856581\pi\) | ||
0.900202 | − | 0.435473i | \(-0.143419\pi\) | |||||||
\(368\) | 5.09226 | − | 0.109059i | 0.265452 | − | 0.00568510i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.14043 | − | 36.9295i | 0.371213 | − | 1.91987i | ||||
\(371\) | −1.08727 | + | 0.450364i | −0.0564484 | + | 0.0233817i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.12628 | + | 22.0328i | −0.472541 | + | 1.14081i | 0.490495 | + | 0.871444i | \(0.336816\pi\) |
−0.963036 | + | 0.269371i | \(0.913184\pi\) | |||||||
\(374\) | 1.18054 | + | 5.77328i | 0.0610443 | + | 0.298529i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.45924 | + | 25.3138i | 0.281539 | + | 1.30546i | ||||
\(377\) | 23.1896 | + | 23.1896i | 1.19432 | + | 1.19432i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.3661 | − | 4.70797i | −0.583835 | − | 0.241832i | 0.0711608 | − | 0.997465i | \(-0.477330\pi\) |
−0.654996 | + | 0.755632i | \(0.727330\pi\) | |||||||
\(380\) | 0.826811 | − | 2.05815i | 0.0424145 | − | 0.105581i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.81970 | + | 4.17146i | 0.144268 | + | 0.213430i | ||||
\(383\) | −31.7840 | −1.62409 | −0.812044 | − | 0.583596i | \(-0.801645\pi\) | ||||
−0.812044 | + | 0.583596i | \(0.801645\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.5044 | 0.586319 | ||||||||
\(386\) | −9.54907 | − | 14.1269i | −0.486035 | − | 0.719040i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.70413 | + | 16.6884i | −0.340350 | + | 0.847223i | ||||
\(389\) | −16.3082 | − | 6.75507i | −0.826858 | − | 0.342496i | −0.0712000 | − | 0.997462i | \(-0.522683\pi\) |
−0.755658 | + | 0.654966i | \(0.772683\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.23538 | − | 1.23538i | −0.0624760 | − | 0.0624760i | ||||
\(392\) | −2.62843 | − | 12.1877i | −0.132756 | − | 0.615572i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.86688 | + | 23.8008i | 0.245190 | + | 1.19907i | ||||
\(395\) | 12.8774 | − | 31.0889i | 0.647934 | − | 1.56425i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.48208 | − | 3.92761i | 0.475892 | − | 0.197121i | −0.131827 | − | 0.991273i | \(-0.542084\pi\) |
0.607720 | + | 0.794152i | \(0.292084\pi\) | |||||||
\(398\) | 6.08088 | − | 31.4496i | 0.304807 | − | 1.57643i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0459457 | − | 2.14532i | −0.00229728 | − | 0.107266i | ||||
\(401\) | − | 9.46026i | − | 0.472423i | −0.971702 | − | 0.236211i | \(-0.924094\pi\) | ||
0.971702 | − | 0.236211i | \(-0.0759058\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 19.3176 | − | 8.00161i | 0.962278 | − | 0.398589i | ||||
\(404\) | 21.8625 | − | 22.3358i | 1.08770 | − | 1.11125i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.7592 | + | 2.60905i | −0.633230 | + | 0.129485i | ||||
\(407\) | −24.2736 | + | 24.2736i | −1.20320 | + | 1.20320i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.357827 | + | 0.357827i | 0.0176934 | + | 0.0176934i | 0.715898 | − | 0.698205i | \(-0.246017\pi\) |
−0.698205 | + | 0.715898i | \(0.746017\pi\) | |||||||
\(410\) | −13.2700 | − | 8.76434i | −0.655359 | − | 0.432840i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 19.3458 | − | 8.25707i | 0.953101 | − | 0.406797i | ||||
\(413\) | −6.34272 | − | 15.3127i | −0.312105 | − | 0.753488i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.0561 | 0.984513 | ||||||||
\(416\) | 7.17649 | + | 31.6293i | 0.351856 | + | 1.55075i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.67708 | + | 1.13362i | −0.0820288 | + | 0.0554474i | ||||
\(419\) | −11.8267 | − | 28.5522i | −0.577773 | − | 1.39487i | −0.894807 | − | 0.446453i | \(-0.852687\pi\) |
0.317035 | − | 0.948414i | \(-0.397313\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.8221 | + | 11.1101i | 1.30723 | + | 0.541473i | 0.924075 | − | 0.382211i | \(-0.124837\pi\) |
0.383156 | + | 0.923684i | \(0.374837\pi\) | |||||||
\(422\) | −7.33330 | − | 4.84337i | −0.356979 | − | 0.235772i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.370742 | − | 2.03404i | 0.0180048 | − | 0.0987819i | ||||
\(425\) | −0.520456 | + | 0.520456i | −0.0252458 | + | 0.0252458i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.06547 | + | 12.2291i | −0.245135 | + | 0.591809i | ||||
\(428\) | 16.0468 | + | 15.7068i | 0.775649 | + | 0.759215i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.48287 | + | 0.480071i | 0.119735 | + | 0.0231511i | ||||
\(431\) | − | 2.17909i | − | 0.104963i | −0.998622 | − | 0.0524815i | \(-0.983287\pi\) | ||
0.998622 | − | 0.0524815i | \(-0.0167130\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 1.63528i | − | 0.0785864i | −0.999228 | − | 0.0392932i | \(-0.987489\pi\) | ||
0.999228 | − | 0.0392932i | \(-0.0125106\pi\) | |||||||
\(434\) | −1.57627 | + | 8.15228i | −0.0756633 | + | 0.391322i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.237492 | + | 22.1808i | 0.0113738 | + | 1.06227i | ||||
\(437\) | 0.229673 | − | 0.554478i | 0.0109867 | − | 0.0265243i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.90859 | − | 7.90859i | 0.377456 | − | 0.377456i | −0.492727 | − | 0.870184i | \(-0.664000\pi\) |
0.870184 | + | 0.492727i | \(0.164000\pi\) | |||||||
\(440\) | −10.9576 | + | 16.9834i | −0.522381 | + | 0.809650i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.13106 | − | 9.28297i | 0.291625 | − | 0.441546i | ||||
\(443\) | 14.6031 | + | 6.04879i | 0.693813 | + | 0.287387i | 0.701588 | − | 0.712583i | \(-0.252475\pi\) |
−0.00777498 | + | 0.999970i | \(0.502475\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.84005 | − | 4.44227i | −0.0872266 | − | 0.210584i | ||||
\(446\) | 12.8606 | + | 19.0260i | 0.608969 | + | 0.900908i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −12.0513 | − | 4.54412i | −0.569371 | − | 0.214689i | ||||
\(449\) | 2.96863 | 0.140098 | 0.0700492 | − | 0.997544i | \(-0.477684\pi\) | ||||
0.0700492 | + | 0.997544i | \(0.477684\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.55425 | + | 13.4092i | 0.261540 | + | 0.631412i | ||||
\(452\) | −38.9883 | − | 15.6626i | −1.83386 | − | 0.736706i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.64676 | − | 7.03561i | 0.218083 | − | 0.330198i | ||||
\(455\) | −15.3577 | − | 15.3577i | −0.719982 | − | 0.719982i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.419581 | + | 0.419581i | −0.0196272 | + | 0.0196272i | −0.716852 | − | 0.697225i | \(-0.754418\pi\) |
0.697225 | + | 0.716852i | \(0.254418\pi\) | |||||||
\(458\) | 5.26214 | + | 25.7338i | 0.245884 | + | 1.20246i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0641569 | − | 5.99199i | −0.00299133 | − | 0.279378i | ||||
\(461\) | −19.3447 | + | 8.01282i | −0.900971 | + | 0.373194i | −0.784593 | − | 0.620011i | \(-0.787128\pi\) |
−0.116378 | + | 0.993205i | \(0.537128\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 26.5615i | − | 1.23442i | −0.786800 | − | 0.617209i | \(-0.788263\pi\) | ||
0.786800 | − | 0.617209i | \(-0.211737\pi\) | |||||||
\(464\) | 8.30112 | − | 21.3208i | 0.385370 | − | 0.989795i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 9.75789 | + | 1.88672i | 0.452026 | + | 0.0874005i | ||||
\(467\) | 4.18753 | − | 1.73453i | 0.193776 | − | 0.0802645i | −0.283685 | − | 0.958917i | \(-0.591557\pi\) |
0.477461 | + | 0.878653i | \(0.341557\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.23264 | − | 7.80427i | 0.149269 | − | 0.360368i | ||||
\(470\) | 29.8483 | − | 6.10348i | 1.37680 | − | 0.281533i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 28.6466 | + | 5.22137i | 1.31857 | + | 0.240333i | ||||
\(473\) | −1.63198 | − | 1.63198i | −0.0750386 | − | 0.0750386i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.233597 | − | 0.0967590i | −0.0107182 | − | 0.00443961i | ||||
\(476\) | 1.73423 | + | 4.06320i | 0.0794882 | + | 0.186236i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.37353 | + | 4.30819i | −0.291518 | + | 0.197052i | ||||
\(479\) | 26.0009 | 1.18801 | 0.594005 | − | 0.804461i | \(-0.297546\pi\) | ||||
0.594005 | + | 0.804461i | \(0.297546\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 64.8078 | 2.95498 | ||||||||
\(482\) | 4.06794 | − | 2.74972i | 0.185290 | − | 0.125246i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.26868 | + | 1.39511i | −0.148576 | + | 0.0634143i | ||||
\(485\) | 19.5480 | + | 8.09705i | 0.887629 | + | 0.367668i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.5458 | + | 29.5458i | 1.33885 | + | 1.33885i | 0.897179 | + | 0.441667i | \(0.145613\pi\) |
0.441667 | + | 0.897179i | \(0.354387\pi\) | |||||||
\(488\) | −13.2286 | − | 19.1257i | −0.598829 | − | 0.865781i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.3709 | + | 2.93862i | −0.649212 | + | 0.132753i | ||||
\(491\) | 14.1215 | − | 34.0923i | 0.637294 | − | 1.53856i | −0.192978 | − | 0.981203i | \(-0.561815\pi\) |
0.830271 | − | 0.557360i | \(-0.188185\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.25061 | + | 3.00330i | −0.326551 | + | 0.135262i | ||||
\(494\) | 3.75214 | + | 0.725488i | 0.168817 | + | 0.0326412i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.5335 | − | 10.0917i | −0.472966 | − | 0.453132i | ||||
\(497\) | − | 8.04185i | − | 0.360726i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 34.7185 | − | 14.3809i | 1.55421 | − | 0.643776i | 0.570141 | − | 0.821547i | \(-0.306888\pi\) |
0.984072 | + | 0.177770i | \(0.0568884\pi\) | |||||||
\(500\) | 21.0039 | − | 0.224891i | 0.939325 | − | 0.0100574i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5.63529 | + | 27.5587i | 0.251515 | + | 1.23000i | ||||
\(503\) | −16.2601 | + | 16.2601i | −0.725002 | + | 0.725002i | −0.969620 | − | 0.244618i | \(-0.921338\pi\) |
0.244618 | + | 0.969620i | \(0.421338\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −26.0008 | − | 26.0008i | −1.15702 | − | 1.15702i | ||||
\(506\) | −3.01398 | + | 4.56344i | −0.133988 | + | 0.202870i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.5620 | − | 31.2703i | 0.557350 | − | 1.38739i | ||||
\(509\) | −0.584208 | − | 1.41040i | −0.0258946 | − | 0.0625150i | 0.910403 | − | 0.413722i | \(-0.135771\pi\) |
−0.936298 | + | 0.351207i | \(0.885771\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.9167 | 0.482927 | ||||||||
\(512\) | 18.1867 | − | 13.4626i | 0.803748 | − | 0.594970i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.199930 | + | 0.295777i | 0.00881855 | + | 0.0130462i | ||||
\(515\) | −9.47007 | − | 22.8628i | −0.417301 | − | 1.00745i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −25.6883 | − | 10.6404i | −1.12977 | − | 0.467966i | ||||
\(518\) | −14.1833 | + | 21.4748i | −0.623180 | + | 0.943550i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 37.2996 | − | 8.04413i | 1.63570 | − | 0.352759i | ||||
\(521\) | 0.163416 | − | 0.163416i | 0.00715940 | − | 0.00715940i | −0.703518 | − | 0.710677i | \(-0.748389\pi\) |
0.710677 | + | 0.703518i | \(0.248389\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.2090 | − | 29.4752i | 0.533864 | − | 1.28886i | −0.395081 | − | 0.918646i | \(-0.629284\pi\) |
0.928946 | − | 0.370216i | \(-0.120716\pi\) | |||||||
\(524\) | 37.9569 | − | 0.406409i | 1.65816 | − | 0.0177540i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.279817 | − | 1.44718i | 0.0122006 | − | 0.0631002i | ||||
\(527\) | 5.00367i | 0.217963i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.3786i | 0.929503i | ||||||||
\(530\) | −2.38821 | − | 0.461768i | −0.103737 | − | 0.0200579i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.06156 | + | 1.08454i | −0.0460246 | + | 0.0470208i | ||||
\(533\) | 10.4859 | − | 25.3151i | 0.454193 | − | 1.09652i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.6798 | − | 18.6798i | 0.807599 | − | 0.807599i | ||||
\(536\) | 8.44208 | + | 12.2055i | 0.364642 | + | 0.527197i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.0449 | − | 9.93661i | −0.648633 | − | 0.428398i | ||||
\(539\) | 12.3680 | + | 5.12301i | 0.532729 | + | 0.220664i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.77009 | − | 21.1729i | −0.377056 | − | 0.910293i | −0.992515 | − | 0.122124i | \(-0.961029\pi\) |
0.615459 | − | 0.788169i | \(-0.288971\pi\) | |||||||
\(542\) | 6.79481 | − | 4.59295i | 0.291862 | − | 0.197284i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.65009 | − | 1.30990i | −0.327995 | − | 0.0561617i | ||||
\(545\) | 26.0968 | 1.11787 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.2969 | + | 27.2730i | 0.483019 | + | 1.16611i | 0.958168 | + | 0.286205i | \(0.0923939\pi\) |
−0.475150 | + | 0.879905i | \(0.657606\pi\) | |||||||
\(548\) | 10.6796 | + | 25.0216i | 0.456208 | + | 1.06887i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.92254 | + | 1.26977i | 0.0819773 | + | 0.0541430i | ||||
\(551\) | −1.90633 | − | 1.90633i | −0.0812122 | − | 0.0812122i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −16.2806 | + | 16.2806i | −0.692321 | + | 0.692321i | ||||
\(554\) | −9.90976 | + | 2.02638i | −0.421025 | + | 0.0860928i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −27.6153 | − | 27.0302i | −1.17115 | − | 1.14634i | ||||
\(557\) | −27.8164 | + | 11.5219i | −1.17862 | + | 0.488200i | −0.884033 | − | 0.467425i | \(-0.845182\pi\) |
−0.294586 | + | 0.955625i | \(0.595182\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.35721i | 0.184291i | ||||||||
\(560\) | −5.49757 | + | 14.1201i | −0.232315 | + | 0.596684i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.67815 | + | 29.3668i | −0.239518 | + | 1.23876i | ||||
\(563\) | 23.9806 | − | 9.93310i | 1.01066 | − | 0.418630i | 0.184966 | − | 0.982745i | \(-0.440782\pi\) |
0.825696 | + | 0.564115i | \(0.190782\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −18.9168 | + | 45.6692i | −0.795836 | + | 1.92132i | ||||
\(566\) | 8.84131 | + | 43.2373i | 0.371628 | + | 1.81740i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 11.8718 | + | 7.65959i | 0.498129 | + | 0.321389i | ||||
\(569\) | −4.09869 | − | 4.09869i | −0.171826 | − | 0.171826i | 0.615955 | − | 0.787781i | \(-0.288770\pi\) |
−0.787781 | + | 0.615955i | \(0.788770\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.9883 | + | 9.10786i | 0.920182 | + | 0.381152i | 0.791946 | − | 0.610592i | \(-0.209068\pi\) |
0.128237 | + | 0.991744i | \(0.459068\pi\) | |||||||
\(572\) | −32.3142 | − | 12.9814i | −1.35113 | − | 0.542781i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.09360 | + | 9.01487i | 0.254342 | + | 0.376274i | ||||
\(575\) | −0.683098 | −0.0284871 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −36.1747 | −1.50597 | −0.752987 | − | 0.658036i | \(-0.771388\pi\) | ||||
−0.752987 | + | 0.658036i | \(0.771388\pi\) | |||||||
\(578\) | −11.9727 | − | 17.7125i | −0.498001 | − | 0.736742i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −24.9776 | − | 10.0341i | −1.03714 | − | 0.416645i | ||||
\(581\) | −12.6782 | − | 5.25147i | −0.525979 | − | 0.217868i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.56976 | + | 1.56976i | 0.0650129 | + | 0.0650129i | ||||
\(584\) | −10.3978 | + | 16.1158i | −0.430264 | + | 0.666876i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.66478 | + | 13.0318i | 0.110081 | + | 0.538337i | ||||
\(587\) | −10.4373 | + | 25.1978i | −0.430793 | + | 1.04003i | 0.548240 | + | 0.836321i | \(0.315298\pi\) |
−0.979032 | + | 0.203704i | \(0.934702\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.58802 | + | 0.657781i | −0.0654334 | + | 0.0271034i | ||||
\(590\) | 6.50334 | − | 33.6345i | 0.267738 | − | 1.38471i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −18.1931 | − | 41.3922i | −0.747731 | − | 1.70121i | ||||
\(593\) | 11.4262i | 0.469220i | 0.972090 | + | 0.234610i | \(0.0753813\pi\) | ||||
−0.972090 | + | 0.234610i | \(0.924619\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.80185 | − | 1.98899i | 0.196857 | − | 0.0815408i | ||||
\(596\) | −21.0753 | − | 20.6288i | −0.863279 | − | 0.844988i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 10.1154 | − | 2.06844i | 0.413652 | − | 0.0845849i | ||||
\(599\) | 3.62337 | − | 3.62337i | 0.148047 | − | 0.148047i | −0.629198 | − | 0.777245i | \(-0.716617\pi\) |
0.777245 | + | 0.629198i | \(0.216617\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −29.0115 | − | 29.0115i | −1.18341 | − | 1.18341i | −0.978856 | − | 0.204549i | \(-0.934427\pi\) |
−0.204549 | − | 0.978856i | \(-0.565573\pi\) | |||||||
\(602\) | −1.44381 | − | 0.953585i | −0.0588455 | − | 0.0388652i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.89153 | − | 13.8035i | −0.239723 | − | 0.561657i | ||||
\(605\) | 1.60006 | + | 3.86289i | 0.0650518 | + | 0.157049i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 12.5298 | 0.508569 | 0.254284 | − | 0.967129i | \(-0.418160\pi\) | ||||
0.254284 | + | 0.967129i | \(0.418160\pi\) | |||||||
\(608\) | −0.589951 | − | 2.60012i | −0.0239257 | − | 0.105449i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −22.6665 | + | 15.3214i | −0.917738 | + | 0.620345i | ||||
\(611\) | 20.0881 | + | 48.4969i | 0.812677 | + | 1.96197i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.8631 | + | 6.15648i | 0.600314 | + | 0.248658i | 0.662081 | − | 0.749433i | \(-0.269674\pi\) |
−0.0617671 | + | 0.998091i | \(0.519674\pi\) | |||||||
\(614\) | −19.3617 | − | 12.7877i | −0.781374 | − | 0.516068i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.3736 | − | 7.86669i | 0.458255 | − | 0.316958i | ||||
\(617\) | −24.3889 | + | 24.3889i | −0.981862 | + | 0.981862i | −0.999838 | − | 0.0179765i | \(-0.994278\pi\) |
0.0179765 | + | 0.999838i | \(0.494278\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.9672 | + | 43.3767i | −0.722163 | + | 1.74345i | −0.0550673 | + | 0.998483i | \(0.517537\pi\) |
−0.667095 | + | 0.744972i | \(0.732463\pi\) | |||||||
\(620\) | −12.0048 | + | 12.2646i | −0.482123 | + | 0.492559i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.45284 | + | 0.280911i | 0.0582535 | + | 0.0112635i | ||||
\(623\) | 3.28992i | 0.131808i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 27.3945i | − | 1.09578i | ||||||
\(626\) | −5.33378 | + | 27.5857i | −0.213181 | + | 1.10255i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −17.2918 | + | 0.185145i | −0.690017 | + | 0.00738808i | ||||
\(629\) | −5.93497 | + | 14.3283i | −0.236643 | + | 0.571306i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.20470 | + | 6.20470i | −0.247005 | + | 0.247005i | −0.819740 | − | 0.572735i | \(-0.805882\pi\) |
0.572735 | + | 0.819740i | \(0.305882\pi\) | |||||||
\(632\) | −8.52751 | − | 39.5409i | −0.339206 | − | 1.57285i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −21.6543 | + | 32.7866i | −0.860003 | + | 1.30212i | ||||
\(635\) | −36.6286 | − | 15.1721i | −1.45356 | − | 0.602085i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.67171 | − | 23.3496i | −0.383207 | − | 0.925144i | ||||
\(638\) | 13.7576 | + | 20.3530i | 0.544669 | + | 0.805783i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −15.6086 | − | 21.5647i | −0.616984 | − | 0.852421i | ||||
\(641\) | −16.3098 | −0.644197 | −0.322099 | − | 0.946706i | \(-0.604388\pi\) | ||||
−0.322099 | + | 0.946706i | \(0.604388\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.11409 | + | 14.7607i | 0.241116 | + | 0.582106i | 0.997394 | − | 0.0721444i | \(-0.0229842\pi\) |
−0.756278 | + | 0.654250i | \(0.772984\pi\) | |||||||
\(644\) | −1.52838 | + | 3.80456i | −0.0602268 | + | 0.149920i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.504011 | + | 0.763117i | −0.0198300 | + | 0.0300244i | ||||
\(647\) | 28.6611 | + | 28.6611i | 1.12678 | + | 1.12678i | 0.990697 | + | 0.136087i | \(0.0434528\pi\) |
0.136087 | + | 0.990697i | \(0.456547\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −22.1078 | + | 22.1078i | −0.867808 | + | 0.867808i | ||||
\(650\) | −0.871417 | − | 4.26155i | −0.0341798 | − | 0.167152i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 31.3734 | − | 0.335918i | 1.22868 | − | 0.0131556i | ||||
\(653\) | −16.8705 | + | 6.98799i | −0.660194 | + | 0.273461i | −0.687520 | − | 0.726165i | \(-0.741301\pi\) |
0.0273263 | + | 0.999627i | \(0.491301\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 44.6582i | − | 1.74494i | ||||||
\(656\) | −19.1122 | + | 0.409319i | −0.746204 | + | 0.0159812i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −20.4663 | − | 3.95723i | −0.797861 | − | 0.154269i | ||||
\(659\) | 33.2906 | − | 13.7894i | 1.29682 | − | 0.537160i | 0.375808 | − | 0.926697i | \(-0.377365\pi\) |
0.921011 | + | 0.389537i | \(0.127365\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.60025 | + | 20.7628i | −0.334511 | + | 0.807581i | 0.663712 | + | 0.747988i | \(0.268980\pi\) |
−0.998223 | + | 0.0595926i | \(0.981020\pi\) | |||||||
\(662\) | −36.9263 | + | 7.55081i | −1.43518 | + | 0.293471i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 19.8280 | − | 13.7143i | 0.769476 | − | 0.532218i | ||||
\(665\) | 1.26250 | + | 1.26250i | 0.0489577 | + | 0.0489577i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.72912 | − | 2.78729i | −0.260553 | − | 0.107924i | ||||
\(668\) | −18.8165 | + | 8.03114i | −0.728033 | + | 0.310734i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 14.4651 | − | 9.77766i | 0.558834 | − | 0.377744i | ||||
\(671\) | 24.9692 | 0.963927 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.18136 | 0.161179 | 0.0805897 | − | 0.996747i | \(-0.474320\pi\) | ||||
0.0805897 | + | 0.996747i | \(0.474320\pi\) | |||||||
\(674\) | 6.10857 | − | 4.12909i | 0.235293 | − | 0.159046i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.6019 | + | 36.5543i | 0.600072 | + | 1.40593i | ||||
\(677\) | 42.7076 | + | 17.6900i | 1.64138 | + | 0.679884i | 0.996437 | − | 0.0843427i | \(-0.0268790\pi\) |
0.644948 | + | 0.764227i | \(0.276879\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.2369 | − | 10.2369i | −0.392855 | − | 0.392855i | ||||
\(680\) | −1.63735 | + | 8.98318i | −0.0627896 | + | 0.344489i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 15.3454 | − | 3.13789i | 0.587607 | − | 0.120156i | ||||
\(683\) | −6.12019 | + | 14.7754i | −0.234182 | + | 0.565366i | −0.996661 | − | 0.0816467i | \(-0.973982\pi\) |
0.762479 | + | 0.647013i | \(0.223982\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 29.5703 | − | 12.2484i | 1.12982 | − | 0.467988i | ||||
\(686\) | 25.5017 | + | 4.93083i | 0.973658 | + | 0.188260i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.78291 | − | 1.22317i | 0.106098 | − | 0.0466330i | ||||
\(689\) | − | 4.19109i | − | 0.159668i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.16170 | + | 2.13805i | −0.196360 | + | 0.0813352i | −0.478697 | − | 0.877980i | \(-0.658891\pi\) |
0.282336 | + | 0.959316i | \(0.408891\pi\) | |||||||
\(692\) | −0.362271 | − | 33.8347i | −0.0137715 | − | 1.28620i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.73923 | + | 42.7381i | 0.331737 | + | 1.62231i | ||||
\(695\) | −32.1466 | + | 32.1466i | −1.21939 | + | 1.21939i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.63661 | + | 4.63661i | 0.175624 | + | 0.175624i | ||||
\(698\) | −12.8083 | + | 19.3929i | −0.484801 | + | 0.734032i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.60283 | + | 0.643895i | 0.0605811 | + | 0.0243369i | ||||
\(701\) | −0.0119150 | − | 0.0287652i | −0.000450022 | − | 0.00108645i | 0.923654 | − | 0.383227i | \(-0.125187\pi\) |
−0.924104 | + | 0.382140i | \(0.875187\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.32760 | −0.200934 | ||||||||
\(704\) | 0.780241 | + | 24.2830i | 0.0294064 | + | 0.915200i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −8.02452 | − | 11.8715i | −0.302007 | − | 0.446789i | ||||
\(707\) | 9.62802 | + | 23.2441i | 0.362099 | + | 0.874184i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −26.8174 | − | 11.1081i | −1.00715 | − | 0.417175i | −0.182735 | − | 0.983162i | \(-0.558495\pi\) |
−0.824414 | + | 0.565988i | \(0.808495\pi\) | |||||||
\(710\) | 9.16040 | − | 13.8697i | 0.343784 | − | 0.520520i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.85674 | − | 3.13354i | −0.182014 | − | 0.117434i | ||||
\(713\) | −3.28366 | + | 3.28366i | −0.122974 | + | 0.122974i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −15.6786 | + | 37.8515i | −0.586346 | + | 1.41557i | ||||
\(716\) | −0.0530071 | − | 4.95065i | −0.00198097 | − | 0.185014i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.40791 | − | 7.28154i | 0.0525427 | − | 0.271745i | ||||
\(719\) | − | 7.84582i | − | 0.292600i | −0.989240 | − | 0.146300i | \(-0.953264\pi\) | ||
0.989240 | − | 0.146300i | \(-0.0467364\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.9320i | 0.630582i | ||||||||
\(722\) | 26.0730 | + | 5.04129i | 0.970336 | + | 0.187618i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −26.4773 | − | 25.9163i | −0.984020 | − | 0.963172i | ||||
\(725\) | −1.17426 | + | 2.83492i | −0.0436110 | + | 0.105286i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11.0377 | + | 11.0377i | −0.409367 | + | 0.409367i | −0.881518 | − | 0.472151i | \(-0.843478\pi\) |
0.472151 | + | 0.881518i | \(0.343478\pi\) | |||||||
\(728\) | −25.6847 | − | 4.68152i | −0.951939 | − | 0.173509i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 18.8279 | + | 12.4351i | 0.696852 | + | 0.460245i | ||||
\(731\) | −0.963331 | − | 0.399025i | −0.0356301 | − | 0.0147585i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.0754 | − | 31.5669i | −0.482952 | − | 1.16595i | −0.958200 | − | 0.286098i | \(-0.907642\pi\) |
0.475248 | − | 0.879852i | \(-0.342358\pi\) | |||||||
\(734\) | −19.5489 | + | 13.2141i | −0.721564 | + | 0.487741i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.16074 | − | 5.87999i | −0.153367 | − | 0.216739i | ||||
\(737\) | −15.9346 | −0.586960 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.90421 | − | 16.6682i | −0.253975 | − | 0.613151i | 0.744543 | − | 0.667575i | \(-0.232668\pi\) |
−0.998518 | + | 0.0544243i | \(0.982668\pi\) | |||||||
\(740\) | −48.9236 | + | 20.8813i | −1.79847 | + | 0.767610i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.38877 | + | 0.917229i | 0.0509832 | + | 0.0336725i | ||||
\(743\) | −16.5040 | − | 16.5040i | −0.605472 | − | 0.605472i | 0.336287 | − | 0.941759i | \(-0.390829\pi\) |
−0.941759 | + | 0.336287i | \(0.890829\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −24.5335 | + | 24.5335i | −0.898838 | + | 0.898838i | ||||
\(746\) | 33.0426 | − | 6.75667i | 1.20978 | − | 0.247379i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.82932 | − | 5.95550i | 0.213141 | − | 0.217755i | ||||
\(749\) | −16.6993 | + | 6.91708i | −0.610180 | + | 0.252745i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 16.8926i | − | 0.616421i | −0.951318 | − | 0.308211i | \(-0.900270\pi\) | ||
0.951318 | − | 0.308211i | \(-0.0997301\pi\) | |||||||
\(752\) | 25.3353 | − | 26.4443i | 0.923885 | − | 0.964324i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 8.80449 | − | 45.5358i | 0.320640 | − | 1.65832i | ||||
\(755\) | −16.3129 | + | 6.75702i | −0.593687 | + | 0.245913i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.13477 | − | 9.98223i | 0.150281 | − | 0.362810i | −0.830754 | − | 0.556639i | \(-0.812091\pi\) |
0.981035 | + | 0.193829i | \(0.0620906\pi\) | |||||||
\(758\) | 3.48556 | + | 17.0457i | 0.126601 | + | 0.619127i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.06625 | + | 0.661277i | −0.111225 | + | 0.0239870i | ||||
\(761\) | 11.6853 | + | 11.6853i | 0.423590 | + | 0.423590i | 0.886438 | − | 0.462848i | \(-0.153172\pi\) |
−0.462848 | + | 0.886438i | \(0.653172\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.4968 | − | 6.83318i | −0.597223 | − | 0.247378i | ||||
\(764\) | 2.65436 | − | 6.60741i | 0.0960314 | − | 0.239048i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 25.1723 | + | 37.2399i | 0.909511 | + | 1.34553i | ||||
\(767\) | 59.0255 | 2.13129 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.8197 | −0.390167 | −0.195083 | − | 0.980787i | \(-0.562498\pi\) | ||||
−0.195083 | + | 0.980787i | \(0.562498\pi\) | |||||||
\(770\) | −9.11124 | − | 13.4792i | −0.328346 | − | 0.485755i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −8.98915 | + | 22.3764i | −0.323527 | + | 0.805344i | ||||
\(773\) | −18.6929 | − | 7.74283i | −0.672335 | − | 0.278490i | 0.0202835 | − | 0.999794i | \(-0.493543\pi\) |
−0.692619 | + | 0.721304i | \(0.743543\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.38338 | + | 1.38338i | 0.0496924 | + | 0.0496924i | ||||
\(776\) | 24.8625 | − | 5.36191i | 0.892511 | − | 0.192481i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.00114 | + | 24.4574i | 0.179299 | + | 0.876841i | ||||
\(779\) | −0.862002 | + | 2.08106i | −0.0308844 | + | 0.0745616i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.0151 | + | 5.80525i | −0.501500 | + | 0.207728i | ||||
\(782\) | −0.469043 | + | 2.42584i | −0.0167729 | + | 0.0867477i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −12.1981 | + | 12.7320i | −0.435646 | + | 0.454715i | ||||
\(785\) | 20.3447i | 0.726132i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 32.5894 | − | 13.4990i | 1.16169 | − | 0.481187i | 0.283251 | − | 0.959046i | \(-0.408587\pi\) |
0.878437 | + | 0.477859i | \(0.158587\pi\) | |||||||
\(788\) | 24.0318 | − | 24.5520i | 0.856099 | − | 0.874630i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −46.6240 | + | 9.53384i | −1.65881 | + | 0.339199i | ||||
\(791\) | 23.9160 | − | 23.9160i | 0.850355 | − | 0.850355i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −33.3326 | − | 33.3326i | −1.18367 | − | 1.18367i | ||||
\(794\) | −12.1114 | − | 7.99913i | −0.429818 | − | 0.283878i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −41.6640 | + | 17.7828i | −1.47674 | + | 0.630293i | ||||
\(797\) | 17.1820 | + | 41.4810i | 0.608617 | + | 1.46933i | 0.864505 | + | 0.502625i | \(0.167632\pi\) |
−0.255888 | + | 0.966706i | \(0.582368\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.5617 | −0.444403 | ||||||||
\(800\) | −2.47719 | + | 1.75288i | −0.0875818 | + | 0.0619738i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −11.0841 | + | 7.49232i | −0.391395 | + | 0.264563i | ||||
\(803\) | −7.88055 | − | 19.0253i | −0.278098 | − | 0.671389i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.45649 | + | 1.84594i | 0.157071 | + | 0.0650608i | ||||
\(806\) | −24.6742 | − | 16.2964i | −0.869113 | − | 0.574017i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −43.4844 | − | 7.92585i | −1.52978 | − | 0.278830i | ||||
\(809\) | 26.1069 | − | 26.1069i | 0.917871 | − | 0.917871i | −0.0790034 | − | 0.996874i | \(-0.525174\pi\) |
0.996874 | + | 0.0790034i | \(0.0251738\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.9197 | − | 31.1908i | 0.453671 | − | 1.09526i | −0.517245 | − | 0.855837i | \(-0.673043\pi\) |
0.970916 | − | 0.239420i | \(-0.0769574\pi\) | |||||||
\(812\) | 13.1619 | + | 12.8831i | 0.461893 | + | 0.452107i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 47.6644 | + | 9.21606i | 1.67064 | + | 0.323023i | ||||
\(815\) | − | 36.9124i | − | 1.29298i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 0.358190i | − | 0.0125315i | ||||||
\(818\) | 0.135857 | − | 0.702639i | 0.00475015 | − | 0.0245672i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.240792 | + | 22.4890i | 0.00840882 | + | 0.785350i | ||||
\(821\) | 14.0571 | − | 33.9369i | 0.490598 | − | 1.18441i | −0.463819 | − | 0.885930i | \(-0.653521\pi\) |
0.954417 | − | 0.298478i | \(-0.0964788\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.7175 | + | 14.7175i | −0.513018 | + | 0.513018i | −0.915450 | − | 0.402432i | \(-0.868165\pi\) |
0.402432 | + | 0.915450i | \(0.368165\pi\) | |||||||
\(824\) | −24.9959 | − | 16.1272i | −0.870774 | − | 0.561817i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −12.9178 | + | 19.5588i | −0.449469 | + | 0.680537i | ||||
\(827\) | 19.0944 | + | 7.90916i | 0.663978 | + | 0.275029i | 0.689111 | − | 0.724656i | \(-0.258001\pi\) |
−0.0251336 | + | 0.999684i | \(0.508001\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.7858 | + | 30.8677i | 0.444070 | + | 1.07208i | 0.974507 | + | 0.224355i | \(0.0720276\pi\) |
−0.530438 | + | 0.847724i | \(0.677972\pi\) | |||||||
\(830\) | −15.8840 | − | 23.4987i | −0.551341 | − | 0.815653i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 31.3749 | − | 33.4581i | 1.08773 | − | 1.15995i | ||||
\(833\) | 6.04804 | 0.209552 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.21095 | + | 22.2372i | 0.318758 | + | 0.769550i | ||||
\(836\) | 2.65643 | + | 1.06715i | 0.0918745 | + | 0.0369083i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −24.0868 | + | 36.4695i | −0.832064 | + | 1.25982i | ||||
\(839\) | 8.22366 | + | 8.22366i | 0.283912 | + | 0.283912i | 0.834667 | − | 0.550755i | \(-0.185660\pi\) |
−0.550755 | + | 0.834667i | \(0.685660\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.62898 | + | 2.62898i | −0.0906543 | + | 0.0906543i | ||||
\(842\) | −8.22539 | − | 40.2252i | −0.283466 | − | 1.38625i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.133067 | + | 12.4279i | 0.00458036 | + | 0.427787i | ||||
\(845\) | 43.1996 | − | 17.8938i | 1.48611 | − | 0.615567i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 2.86084i | − | 0.0982995i | ||||||
\(848\) | −2.67681 | + | 1.17654i | −0.0919221 | + | 0.0404025i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.02198 | + | 0.197604i | 0.0350537 | + | 0.00677775i | ||||
\(851\) | −13.2977 | + | 5.50811i | −0.455841 | + | 0.188815i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.18696 | + | 7.69400i | −0.109119 | + | 0.263437i | −0.969001 | − | 0.247055i | \(-0.920537\pi\) |
0.859882 | + | 0.510493i | \(0.170537\pi\) | |||||||
\(854\) | 18.3400 | − | 3.75024i | 0.627583 | − | 0.128330i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.69419 | − | 31.2406i | 0.194623 | − | 1.06778i | ||||
\(857\) | −19.1857 | − | 19.1857i | −0.655372 | − | 0.655372i | 0.298909 | − | 0.954282i | \(-0.403377\pi\) |
−0.954282 | + | 0.298909i | \(0.903377\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.32393 | − | 2.20524i | −0.181650 | − | 0.0752419i | 0.290005 | − | 0.957025i | \(-0.406343\pi\) |
−0.471655 | + | 0.881783i | \(0.656343\pi\) | |||||||
\(860\) | −1.40391 | − | 3.28927i | −0.0478728 | − | 0.112163i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.55313 | + | 1.72579i | −0.0869600 | + | 0.0587806i | ||||
\(863\) | −10.7984 | −0.367582 | −0.183791 | − | 0.982965i | \(-0.558837\pi\) | ||||
−0.183791 | + | 0.982965i | \(0.558837\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −39.8082 | −1.35352 | ||||||||
\(866\) | −1.91598 | + | 1.29510i | −0.0651075 | + | 0.0440094i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 10.8000 | − | 4.60959i | 0.366576 | − | 0.156460i | ||||
\(869\) | 40.1260 | + | 16.6207i | 1.36118 | + | 0.563819i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 21.2719 | + | 21.2719i | 0.720770 | + | 0.720770i | ||||
\(872\) | 25.8001 | − | 17.8450i | 0.873701 | − | 0.604307i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.831552 | + | 0.170039i | −0.0281277 | + | 0.00575164i | ||||
\(875\) | −6.47064 | + | 15.6215i | −0.218747 | + | 0.528103i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.13374 | + | 3.36910i | −0.274657 | + | 0.113767i | −0.515761 | − | 0.856733i | \(-0.672491\pi\) |
0.241104 | + | 0.970499i | \(0.422491\pi\) | |||||||
\(878\) | −15.5296 | − | 3.00269i | −0.524097 | − | 0.101336i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 28.5768 | − | 0.612019i | 0.963322 | − | 0.0206311i | ||||
\(881\) | − | 49.5671i | − | 1.66996i | −0.550281 | − | 0.834980i | \(-0.685479\pi\) | ||
0.550281 | − | 0.834980i | \(-0.314521\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 28.9223 | − | 11.9800i | 0.973314 | − | 0.403160i | 0.161369 | − | 0.986894i | \(-0.448409\pi\) |
0.811945 | + | 0.583734i | \(0.198409\pi\) | |||||||
\(884\) | −15.7321 | + | 0.168445i | −0.529127 | + | 0.00566542i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.47824 | − | 21.9002i | −0.150449 | − | 0.735753i | ||||
\(887\) | 23.0002 | − | 23.0002i | 0.772270 | − | 0.772270i | −0.206233 | − | 0.978503i | \(-0.566120\pi\) |
0.978503 | + | 0.206233i | \(0.0661204\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 19.1816 | + | 19.1816i | 0.643331 | + | 0.643331i | ||||
\(890\) | −3.74752 | + | 5.67408i | −0.125617 | + | 0.190196i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 12.1065 | − | 30.1364i | 0.405357 | − | 1.00904i | ||||
\(893\) | −1.65136 | − | 3.98674i | −0.0552607 | − | 0.133411i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.82469 | −0.194698 | ||||||||
\(896\) | 4.22026 | + | 17.7188i | 0.140989 | + | 0.591944i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −2.35109 | − | 3.47821i | −0.0784570 | − | 0.116069i | ||||
\(899\) | 7.98280 | + | 19.2722i | 0.266241 | + | 0.642763i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.926603 | + | 0.383812i | 0.0308696 | + | 0.0127866i | ||||
\(902\) | 11.3120 | − | 17.1274i | 0.376649 | − | 0.570280i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 12.5268 | + | 58.0852i | 0.416636 | + | 1.93188i | ||||
\(905\) | −30.8219 | + | 30.8219i | −1.02455 | + | 1.02455i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.4396 | + | 44.5170i | −0.612276 | + | 1.47816i | 0.248219 | + | 0.968704i | \(0.420155\pi\) |
−0.860494 | + | 0.509460i | \(0.829845\pi\) | |||||||
\(908\) | −11.9234 | + | 0.127665i | −0.395693 | + | 0.00423672i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.83094 | + | 30.1569i | −0.193294 | + | 0.999693i | ||||
\(911\) | − | 15.4598i | − | 0.512207i | −0.966649 | − | 0.256103i | \(-0.917561\pi\) | ||
0.966649 | − | 0.256103i | \(-0.0824388\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 25.8861i | 0.856704i | ||||||||
\(914\) | 0.823902 | + | 0.159304i | 0.0272522 | + | 0.00526931i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 25.9836 | − | 26.5460i | 0.858522 | − | 0.877106i | ||||
\(917\) | −11.6933 | + | 28.2301i | −0.386147 | + | 0.932240i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.58772 | + | 2.58772i | −0.0853611 | + | 0.0853611i | −0.748498 | − | 0.663137i | \(-0.769225\pi\) |
0.663137 | + | 0.748498i | \(0.269225\pi\) | |||||||
\(920\) | −6.96972 | + | 4.82070i | −0.229785 | + | 0.158934i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 24.7088 | + | 16.3192i | 0.813741 | + | 0.537446i | ||||
\(923\) | 26.4591 | + | 10.9597i | 0.870912 | + | 0.360743i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.32052 | + | 5.60222i | 0.0762981 | + | 0.184200i | ||||
\(926\) | −31.1208 | + | 21.0361i | −1.02269 | + | 0.691290i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −31.5549 | + | 7.15962i | −1.03584 | + | 0.235026i | ||||
\(929\) | 17.3638 | 0.569689 | 0.284845 | − | 0.958574i | \(-0.408058\pi\) | ||||
0.284845 | + | 0.958574i | \(0.408058\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.795074 | + | 1.91948i | 0.0260575 | + | 0.0629084i | ||||
\(932\) | −5.51746 | − | 12.9271i | −0.180730 | − | 0.423441i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −5.34870 | − | 3.53262i | −0.175015 | − | 0.115591i | ||||
\(935\) | −6.93272 | − | 6.93272i | −0.226724 | − | 0.226724i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.82794 | − | 6.82794i | 0.223059 | − | 0.223059i | −0.586726 | − | 0.809785i | \(-0.699584\pi\) |
0.809785 | + | 0.586726i | \(0.199584\pi\) | |||||||
\(938\) | −11.7041 | + | 2.39329i | −0.382152 | + | 0.0781437i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −30.7904 | − | 30.1380i | −1.00427 | − | 0.982993i | ||||
\(941\) | 45.4233 | − | 18.8150i | 1.48076 | − | 0.613350i | 0.511475 | − | 0.859298i | \(-0.329099\pi\) |
0.969283 | + | 0.245948i | \(0.0790993\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.08554i | 0.198173i | ||||||||
\(944\) | −16.5698 | − | 37.6991i | −0.539302 | − | 1.22700i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.619622 | + | 3.20461i | −0.0201456 | + | 0.104191i | ||||
\(947\) | −44.5646 | + | 18.4593i | −1.44816 | + | 0.599846i | −0.961760 | − | 0.273893i | \(-0.911688\pi\) |
−0.486395 | + | 0.873739i | \(0.661688\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.8777 | + | 35.9179i | −0.482949 | + | 1.16594i | ||||
\(950\) | 0.0716358 | + | 0.350326i | 0.00232417 | + | 0.0113661i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.38718 | − | 5.24988i | 0.109779 | − | 0.170149i | ||||
\(953\) | 36.2629 | + | 36.2629i | 1.17467 | + | 1.17467i | 0.981083 | + | 0.193589i | \(0.0620128\pi\) |
0.193589 | + | 0.981083i | \(0.437987\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.73963 | − | 3.20586i | −0.250449 | − | 0.103739i | ||||
\(956\) | 10.0954 | + | 4.05557i | 0.326508 | + | 0.131167i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −20.5921 | − | 30.4640i | −0.665302 | − | 0.984247i | ||||
\(959\) | −21.8996 | −0.707175 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −17.7002 | −0.570974 | ||||||||
\(962\) | −51.3264 | − | 75.9323i | −1.65483 | − | 2.44816i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −6.44344 | − | 2.58849i | −0.207529 | − | 0.0833696i | ||||
\(965\) | 26.2107 | + | 10.8568i | 0.843753 | + | 0.349494i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 41.3477 | + | 41.3477i | 1.32965 | + | 1.32965i | 0.905670 | + | 0.423983i | \(0.139368\pi\) |
0.423983 | + | 0.905670i | \(0.360632\pi\) | |||||||
\(968\) | 4.22331 | + | 2.72485i | 0.135742 | + | 0.0875800i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.99467 | − | 29.3162i | −0.192477 | − | 0.941285i | ||||
\(971\) | 3.32571 | − | 8.02897i | 0.106727 | − | 0.257662i | −0.861489 | − | 0.507775i | \(-0.830468\pi\) |
0.968216 | + | 0.250114i | \(0.0804680\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 28.7383 | − | 11.9038i | 0.921309 | − | 0.381619i | ||||
\(974\) | 11.2178 | − | 58.0170i | 0.359440 | − | 1.85898i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.9320 | + | 30.6465i | −0.381933 | + | 0.980969i | ||||
\(977\) | 8.72467i | 0.279127i | 0.990213 | + | 0.139563i | \(0.0445699\pi\) | ||||
−0.990213 | + | 0.139563i | \(0.955430\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.73358 | − | 2.37493i | 0.183246 | − | 0.0759029i | ||||
\(980\) | 14.8245 | + | 14.5104i | 0.473551 | + | 0.463518i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −51.1282 | + | 10.4549i | −1.63157 | + | 0.333629i | ||||
\(983\) | −0.584357 | + | 0.584357i | −0.0186381 | + | 0.0186381i | −0.716364 | − | 0.697726i | \(-0.754195\pi\) |
0.697726 | + | 0.716364i | \(0.254195\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −28.5807 | − | 28.5807i | −0.910657 | − | 0.910657i | ||||
\(986\) | 9.26115 | + | 6.11665i | 0.294935 | + | 0.194794i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.12160 | − | 4.97078i | −0.0674969 | − | 0.158141i | ||||
\(989\) | −0.370326 | − | 0.894045i | −0.0117757 | − | 0.0284290i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.5113 | 0.556266 | 0.278133 | − | 0.960543i | \(-0.410284\pi\) | ||||
0.278133 | + | 0.960543i | \(0.410284\pi\) | |||||||
\(992\) | −3.48174 | + | 20.3340i | −0.110545 | + | 0.645605i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −9.42226 | + | 6.36897i | −0.298856 | + | 0.202012i | ||||
\(995\) | 20.3951 | + | 49.2382i | 0.646569 | + | 1.56095i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.9933 | − | 7.45305i | −0.569852 | − | 0.236041i | 0.0791038 | − | 0.996866i | \(-0.474794\pi\) |
−0.648956 | + | 0.760826i | \(0.724794\pi\) | |||||||
\(998\) | −44.3457 | − | 29.2887i | −1.40374 | − | 0.927117i | ||||
\(999\) | 0 | 0 |
(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 | 864.2.v.a.325.11 | yes | 128 | |
3.2 | odd | 2 | inner | 864.2.v.a.325.22 | yes | 128 | |
32.13 | even | 8 | inner | 864.2.v.a.109.11 | ✓ | 128 | |
96.77 | odd | 8 | inner | 864.2.v.a.109.22 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.v.a.109.11 | ✓ | 128 | 32.13 | even | 8 | inner | |
864.2.v.a.109.22 | yes | 128 | 96.77 | odd | 8 | inner | |
864.2.v.a.325.11 | yes | 128 | 1.1 | even | 1 | trivial | |
864.2.v.a.325.22 | yes | 128 | 3.2 | odd | 2 | inner |