Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (of order \(36\), degree \(12\), 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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 35.2 | ||
Character | \(\chi\) | \(=\) | 666.35 |
Dual form | 666.2.bs.b.647.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{36}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.996195 | − | 0.0871557i | −0.704416 | − | 0.0616284i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.984808 | + | 0.173648i | 0.492404 | + | 0.0868241i | ||||
\(5\) | −0.252650 | + | 0.541810i | −0.112988 | + | 0.242305i | −0.954668 | − | 0.297673i | \(-0.903790\pi\) |
0.841679 | + | 0.539978i | \(0.181567\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.12060 | − | 0.407863i | 0.423545 | − | 0.154158i | −0.121449 | − | 0.992598i | \(-0.538754\pi\) |
0.544994 | + | 0.838440i | \(0.316532\pi\) | |||||||
\(8\) | −0.965926 | − | 0.258819i | −0.341506 | − | 0.0915064i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.298910 | − | 0.517728i | 0.0945238 | − | 0.163720i | ||||
\(11\) | −2.26675 | − | 3.92612i | −0.683451 | − | 1.18377i | −0.973921 | − | 0.226887i | \(-0.927145\pi\) |
0.290470 | − | 0.956884i | \(-0.406188\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.863842 | − | 0.604868i | 0.239587 | − | 0.167760i | −0.447617 | − | 0.894226i | \(-0.647727\pi\) |
0.687203 | + | 0.726465i | \(0.258838\pi\) | |||||||
\(14\) | −1.15188 | + | 0.308645i | −0.307853 | + | 0.0824889i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | 0.0396193 | + | 0.0277417i | 0.00960910 | + | 0.00672836i | 0.578371 | − | 0.815774i | \(-0.303689\pi\) |
−0.568762 | + | 0.822502i | \(0.692577\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.471895 | − | 5.39378i | −0.108260 | − | 1.23742i | −0.834901 | − | 0.550401i | \(-0.814475\pi\) |
0.726641 | − | 0.687018i | \(-0.241081\pi\) | |||||||
\(20\) | −0.342896 | + | 0.489706i | −0.0766739 | + | 0.109502i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.91594 | + | 4.10875i | 0.408480 | + | 0.875987i | ||||
\(23\) | 0.0598314 | + | 0.223294i | 0.0124757 | + | 0.0465600i | 0.971883 | − | 0.235464i | \(-0.0756609\pi\) |
−0.959407 | + | 0.282024i | \(0.908994\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.98421 | + | 3.55645i | 0.596842 | + | 0.711289i | ||||
\(26\) | −0.913272 | + | 0.527278i | −0.179107 | + | 0.103408i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.17440 | − | 0.207078i | 0.221940 | − | 0.0391340i | ||||
\(29\) | 0.452441 | − | 1.68853i | 0.0840161 | − | 0.313552i | −0.911110 | − | 0.412163i | \(-0.864773\pi\) |
0.995126 | + | 0.0986109i | \(0.0314399\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.79807 | − | 3.79807i | 0.682153 | − | 0.682153i | −0.278332 | − | 0.960485i | \(-0.589781\pi\) |
0.960485 | + | 0.278332i | \(0.0897815\pi\) | |||||||
\(32\) | −0.906308 | − | 0.422618i | −0.160214 | − | 0.0747091i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0370507 | − | 0.0310892i | −0.00635414 | − | 0.00533176i | ||||
\(35\) | −0.0621341 | + | 0.710196i | −0.0105026 | + | 0.120045i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.12536 | − | 5.21844i | 0.513806 | − | 0.857907i | ||||
\(38\) | 5.41439i | 0.878329i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.384272 | − | 0.457957i | 0.0607587 | − | 0.0724094i | ||||
\(41\) | 0.0888565 | − | 0.503930i | 0.0138771 | − | 0.0787007i | −0.977083 | − | 0.212860i | \(-0.931722\pi\) |
0.990960 | + | 0.134159i | \(0.0428333\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.08810 | − | 1.08810i | −0.165934 | − | 0.165934i | 0.619255 | − | 0.785190i | \(-0.287435\pi\) |
−0.785190 | + | 0.619255i | \(0.787435\pi\) | |||||||
\(44\) | −1.55055 | − | 4.26010i | −0.233754 | − | 0.642234i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.0401424 | − | 0.227659i | −0.00591867 | − | 0.0335664i | ||||
\(47\) | 0.595692 | + | 0.343923i | 0.0868907 | + | 0.0501663i | 0.542816 | − | 0.839852i | \(-0.317358\pi\) |
−0.455925 | + | 0.890018i | \(0.650692\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.27293 | + | 3.58541i | −0.610418 | + | 0.512202i | ||||
\(50\) | −2.66289 | − | 3.80300i | −0.376590 | − | 0.537826i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.955752 | − | 0.445675i | 0.132539 | − | 0.0618039i | ||||
\(53\) | 3.98395 | − | 10.9458i | 0.547238 | − | 1.50352i | −0.290186 | − | 0.956970i | \(-0.593717\pi\) |
0.837424 | − | 0.546554i | \(-0.184061\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.69991 | − | 0.236211i | 0.364055 | − | 0.0318507i | ||||
\(56\) | −1.18797 | + | 0.103934i | −0.158750 | + | 0.0138888i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.597884 | + | 1.64267i | −0.0785061 | + | 0.215694i | ||||
\(59\) | 10.1304 | − | 4.72388i | 1.31887 | − | 0.614997i | 0.369518 | − | 0.929224i | \(-0.379523\pi\) |
0.949348 | + | 0.314227i | \(0.101745\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.76057 | − | 3.94250i | −0.353455 | − | 0.504786i | 0.602572 | − | 0.798064i | \(-0.294143\pi\) |
−0.956027 | + | 0.293278i | \(0.905254\pi\) | |||||||
\(62\) | −4.11464 | + | 3.45259i | −0.522560 | + | 0.438480i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 0.109474 | + | 0.620858i | 0.0135786 | + | 0.0770079i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.174776 | + | 0.480194i | 0.0213523 | + | 0.0586651i | 0.949911 | − | 0.312521i | \(-0.101173\pi\) |
−0.928559 | + | 0.371186i | \(0.878951\pi\) | |||||||
\(68\) | 0.0342001 | + | 0.0342001i | 0.00414737 | + | 0.00414737i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.123795 | − | 0.702078i | 0.0147964 | − | 0.0839144i | ||||
\(71\) | 2.51578 | − | 2.99819i | 0.298568 | − | 0.355820i | −0.595815 | − | 0.803122i | \(-0.703171\pi\) |
0.894383 | + | 0.447302i | \(0.147615\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 1.94900i | − | 0.228113i | −0.993474 | − | 0.114056i | \(-0.963616\pi\) | ||
0.993474 | − | 0.114056i | \(-0.0363844\pi\) | |||||||
\(74\) | −3.56828 | + | 4.92619i | −0.414804 | + | 0.572658i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.471895 | − | 5.39378i | 0.0541300 | − | 0.618709i | ||||
\(77\) | −4.14143 | − | 3.47507i | −0.471960 | − | 0.396021i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.92022 | − | 4.62587i | −1.11611 | − | 0.520451i | −0.225056 | − | 0.974346i | \(-0.572257\pi\) |
−0.891055 | + | 0.453894i | \(0.850034\pi\) | |||||||
\(80\) | −0.422723 | + | 0.422723i | −0.0472619 | + | 0.0472619i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.132439 | + | 0.494269i | −0.0146254 | + | 0.0545828i | ||||
\(83\) | 4.31441 | − | 0.760747i | 0.473568 | − | 0.0835029i | 0.0682300 | − | 0.997670i | \(-0.478265\pi\) |
0.405338 | + | 0.914167i | \(0.367154\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.0250406 | + | 0.0144572i | −0.00271603 | + | 0.00156810i | ||||
\(86\) | 0.989128 | + | 1.17880i | 0.106660 | + | 0.127113i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.17336 | + | 4.37902i | 0.125080 | + | 0.466805i | ||||
\(89\) | 2.39445 | + | 5.13492i | 0.253812 | + | 0.544301i | 0.991387 | − | 0.130964i | \(-0.0418072\pi\) |
−0.737576 | + | 0.675265i | \(0.764029\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.721313 | − | 1.03014i | 0.0756142 | − | 0.107988i | ||||
\(92\) | 0.0201479 | + | 0.230291i | 0.00210056 | + | 0.0240095i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.563451 | − | 0.394532i | −0.0581155 | − | 0.0406929i | ||||
\(95\) | 3.04163 | + | 1.10706i | 0.312064 | + | 0.113582i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.01305 | − | 0.271447i | 0.102860 | − | 0.0275613i | −0.207022 | − | 0.978336i | \(-0.566377\pi\) |
0.309882 | + | 0.950775i | \(0.399710\pi\) | |||||||
\(98\) | 4.56916 | − | 3.19936i | 0.461555 | − | 0.323184i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.32131 | + | 4.02062i | 0.232131 | + | 0.402062i | ||||
\(101\) | −5.79273 | + | 10.0333i | −0.576398 | + | 0.998351i | 0.419490 | + | 0.907760i | \(0.362209\pi\) |
−0.995888 | + | 0.0905907i | \(0.971125\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.13970 | − | 1.64513i | −0.604963 | − | 0.162099i | −0.0566803 | − | 0.998392i | \(-0.518052\pi\) |
−0.548283 | + | 0.836293i | \(0.684718\pi\) | |||||||
\(104\) | −0.990958 | + | 0.360679i | −0.0971715 | + | 0.0353675i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.92278 | + | 10.5569i | −0.478143 | + | 1.02538i | ||||
\(107\) | 16.2650 | + | 2.86796i | 1.57240 | + | 0.277256i | 0.890773 | − | 0.454448i | \(-0.150164\pi\) |
0.681622 | + | 0.731704i | \(0.261275\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.17130 | + | 0.277453i | 0.303756 | + | 0.0265752i | 0.238015 | − | 0.971262i | \(-0.423503\pi\) |
0.0657410 | + | 0.997837i | \(0.479059\pi\) | |||||||
\(110\) | −2.71022 | −0.258409 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.19251 | 0.112682 | ||||||||
\(113\) | 1.34319 | + | 0.117514i | 0.126356 | + | 0.0110547i | 0.150158 | − | 0.988662i | \(-0.452022\pi\) |
−0.0238022 | + | 0.999717i | \(0.507577\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.136099 | − | 0.0239979i | −0.0126913 | − | 0.00223782i | ||||
\(116\) | 0.738778 | − | 1.58431i | 0.0685938 | − | 0.147100i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −10.5036 | + | 3.82298i | −0.966931 | + | 0.351934i | ||||
\(119\) | 0.0557121 | + | 0.0149280i | 0.00510712 | + | 0.00136845i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.77630 | + | 8.27280i | −0.434210 | + | 0.752073i | ||||
\(122\) | 2.40645 | + | 4.16810i | 0.217870 | + | 0.377362i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.39989 | − | 3.08084i | 0.395122 | − | 0.276668i | ||||
\(125\) | −5.56813 | + | 1.49198i | −0.498029 | + | 0.133446i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.67935 | − | 0.611235i | −0.149018 | − | 0.0542383i | 0.266434 | − | 0.963853i | \(-0.414155\pi\) |
−0.415453 | + | 0.909615i | \(0.636377\pi\) | |||||||
\(128\) | −0.819152 | − | 0.573576i | −0.0724035 | − | 0.0506975i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0549461 | − | 0.628036i | −0.00481909 | − | 0.0550824i | ||||
\(131\) | 0.665292 | − | 0.950135i | 0.0581268 | − | 0.0830137i | −0.789036 | − | 0.614346i | \(-0.789420\pi\) |
0.847163 | + | 0.531333i | \(0.178309\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.72873 | − | 5.85178i | −0.236611 | − | 0.507414i | ||||
\(134\) | −0.132260 | − | 0.493600i | −0.0114255 | − | 0.0426405i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.0310892 | − | 0.0370507i | −0.00266588 | − | 0.00317707i | ||||
\(137\) | −8.83533 | + | 5.10108i | −0.754853 | + | 0.435815i | −0.827445 | − | 0.561547i | \(-0.810206\pi\) |
0.0725915 | + | 0.997362i | \(0.476873\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.6284 | + | 2.75571i | −1.32558 | + | 0.233736i | −0.791227 | − | 0.611523i | \(-0.790557\pi\) |
−0.534357 | + | 0.845259i | \(0.679446\pi\) | |||||||
\(140\) | −0.184514 | + | 0.688617i | −0.0155943 | + | 0.0581988i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.76752 | + | 2.76752i | −0.232245 | + | 0.232245i | ||||
\(143\) | −4.33290 | − | 2.02047i | −0.362335 | − | 0.168960i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.800554 | + | 0.671744i | 0.0664824 | + | 0.0557853i | ||||
\(146\) | −0.169866 | + | 1.94158i | −0.0140582 | + | 0.160686i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.98405 | − | 4.59645i | 0.327487 | − | 0.377826i | ||||
\(149\) | 8.83152i | 0.723506i | 0.932274 | + | 0.361753i | \(0.117822\pi\) | ||||
−0.932274 | + | 0.361753i | \(0.882178\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −13.4260 | + | 16.0005i | −1.09259 | + | 1.30210i | −0.142619 | + | 0.989778i | \(0.545552\pi\) |
−0.949975 | + | 0.312326i | \(0.898892\pi\) | |||||||
\(152\) | −0.940198 | + | 5.33213i | −0.0762601 | + | 0.432493i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.82280 | + | 3.82280i | 0.308050 | + | 0.308050i | ||||
\(155\) | 1.09825 | + | 3.01741i | 0.0882134 | + | 0.242364i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.64768 | + | 9.34447i | 0.131499 | + | 0.745770i | 0.977234 | + | 0.212166i | \(0.0680517\pi\) |
−0.845734 | + | 0.533604i | \(0.820837\pi\) | |||||||
\(158\) | 9.47930 | + | 5.47287i | 0.754132 | + | 0.435398i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.457957 | − | 0.384272i | 0.0362047 | − | 0.0303793i | ||||
\(161\) | 0.158120 | + | 0.225819i | 0.0124616 | + | 0.0177970i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.0306 | − | 6.54257i | 1.09896 | − | 0.512454i | 0.213394 | − | 0.976966i | \(-0.431548\pi\) |
0.885567 | + | 0.464512i | \(0.153770\pi\) | |||||||
\(164\) | 0.175013 | − | 0.480845i | 0.0136662 | − | 0.0375477i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.36430 | + | 0.381827i | −0.338735 | + | 0.0296355i | ||||
\(167\) | 13.6807 | − | 1.19691i | 1.05864 | − | 0.0926194i | 0.455488 | − | 0.890242i | \(-0.349465\pi\) |
0.603157 | + | 0.797623i | \(0.293909\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.06591 | + | 11.1710i | −0.312762 | + | 0.859306i | ||||
\(170\) | 0.0262053 | − | 0.0122197i | 0.00200985 | − | 0.000937211i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.882625 | − | 1.26052i | −0.0672996 | − | 0.0961137i | ||||
\(173\) | −13.4042 | + | 11.2475i | −1.01911 | + | 0.855131i | −0.989515 | − | 0.144431i | \(-0.953865\pi\) |
−0.0295904 | + | 0.999562i | \(0.509420\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.79464 | + | 2.76819i | 0.362441 | + | 0.209255i | ||||
\(176\) | −0.787234 | − | 4.46462i | −0.0593400 | − | 0.336534i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.93780 | − | 5.32407i | −0.145245 | − | 0.399056i | ||||
\(179\) | 9.46556 | + | 9.46556i | 0.707489 | + | 0.707489i | 0.966007 | − | 0.258517i | \(-0.0832340\pi\) |
−0.258517 | + | 0.966007i | \(0.583234\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.36457 | + | 19.0814i | −0.250087 | + | 1.41831i | 0.558289 | + | 0.829646i | \(0.311458\pi\) |
−0.808376 | + | 0.588666i | \(0.799653\pi\) | |||||||
\(182\) | −0.808351 | + | 0.963356i | −0.0599190 | + | 0.0714087i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 0.231171i | − | 0.0170421i | ||||||
\(185\) | 2.03778 | + | 3.01179i | 0.149821 | + | 0.221431i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0191105 | − | 0.218434i | 0.00139750 | − | 0.0159735i | ||||
\(188\) | 0.526921 | + | 0.442139i | 0.0384297 | + | 0.0322463i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.93357 | − | 1.36794i | −0.212823 | − | 0.0992411i | ||||
\(191\) | −6.46072 | + | 6.46072i | −0.467481 | + | 0.467481i | −0.901098 | − | 0.433616i | \(-0.857237\pi\) |
0.433616 | + | 0.901098i | \(0.357237\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.49144 | + | 13.0302i | −0.251319 | + | 0.937936i | 0.718782 | + | 0.695236i | \(0.244700\pi\) |
−0.970101 | + | 0.242701i | \(0.921967\pi\) | |||||||
\(194\) | −1.03286 | + | 0.182121i | −0.0741548 | + | 0.0130755i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.83061 | + | 2.78896i | −0.345044 | + | 0.199211i | ||||
\(197\) | −3.42564 | − | 4.08252i | −0.244067 | − | 0.290867i | 0.630079 | − | 0.776531i | \(-0.283022\pi\) |
−0.874146 | + | 0.485664i | \(0.838578\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.32154 | − | 8.66410i | −0.164570 | − | 0.614182i | −0.998095 | − | 0.0617005i | \(-0.980348\pi\) |
0.833525 | − | 0.552482i | \(-0.186319\pi\) | |||||||
\(200\) | −1.96205 | − | 4.20763i | −0.138738 | − | 0.297525i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.64514 | − | 9.49025i | 0.467551 | − | 0.667732i | ||||
\(203\) | −0.181687 | − | 2.07670i | −0.0127519 | − | 0.145755i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.250585 | + | 0.175461i | 0.0175016 | + | 0.0122548i | ||||
\(206\) | 5.97296 | + | 2.17398i | 0.416156 | + | 0.151468i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.01862 | − | 0.272939i | 0.0706288 | − | 0.0189249i | ||||
\(209\) | −20.1070 | + | 14.0791i | −1.39083 | + | 0.973870i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.71615 | − | 8.16862i | −0.324673 | − | 0.562351i | 0.656773 | − | 0.754088i | \(-0.271921\pi\) |
−0.981446 | + | 0.191738i | \(0.938588\pi\) | |||||||
\(212\) | 5.82415 | − | 10.0877i | 0.400004 | − | 0.692828i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −15.9531 | − | 4.27463i | −1.09053 | − | 0.292208i | ||||
\(215\) | 0.864454 | − | 0.314636i | 0.0589553 | − | 0.0214580i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.70700 | − | 5.80519i | 0.183763 | − | 0.394082i | ||||
\(218\) | −3.13505 | − | 0.552794i | −0.212333 | − | 0.0374400i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.69991 | + | 0.236211i | 0.182028 | + | 0.0159254i | ||||
\(221\) | 0.0510049 | 0.00343096 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 17.5516 | 1.17534 | 0.587671 | − | 0.809100i | \(-0.300045\pi\) | ||||
0.587671 | + | 0.809100i | \(0.300045\pi\) | |||||||
\(224\) | −1.18797 | − | 0.103934i | −0.0793749 | − | 0.00694441i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.32783 | − | 0.234133i | −0.0883261 | − | 0.0155743i | ||||
\(227\) | −2.15852 | + | 4.62895i | −0.143266 | + | 0.307234i | −0.964827 | − | 0.262886i | \(-0.915326\pi\) |
0.821561 | + | 0.570120i | \(0.193103\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.0549770 | − | 0.0200100i | 0.00363298 | − | 0.00132230i | −0.340203 | − | 0.940352i | \(-0.610496\pi\) |
0.343836 | + | 0.939030i | \(0.388274\pi\) | |||||||
\(230\) | 0.133490 | + | 0.0357684i | 0.00880205 | + | 0.00235850i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.874048 | + | 1.51390i | −0.0573841 | + | 0.0993922i | ||||
\(233\) | −7.90895 | − | 13.6987i | −0.518133 | − | 0.897432i | −0.999778 | − | 0.0210661i | \(-0.993294\pi\) |
0.481645 | − | 0.876366i | \(-0.340039\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.336843 | + | 0.235860i | −0.0219732 | + | 0.0153858i | ||||
\(236\) | 10.7968 | − | 2.89299i | 0.702811 | − | 0.188318i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.0541990 | − | 0.0197268i | −0.00351320 | − | 0.00127870i | ||||
\(239\) | −8.76072 | − | 6.13432i | −0.566684 | − | 0.396796i | 0.254829 | − | 0.966986i | \(-0.417981\pi\) |
−0.821513 | + | 0.570190i | \(0.806870\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.43440 | + | 16.3953i | 0.0923979 | + | 1.05611i | 0.890924 | + | 0.454152i | \(0.150058\pi\) |
−0.798526 | + | 0.601960i | \(0.794387\pi\) | |||||||
\(242\) | 5.47915 | − | 7.82504i | 0.352213 | − | 0.503013i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.03402 | − | 4.36198i | −0.130215 | − | 0.279247i | ||||
\(245\) | −0.863056 | − | 3.22097i | −0.0551386 | − | 0.205780i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.67017 | − | 4.37394i | −0.233527 | − | 0.278307i | ||||
\(248\) | −4.65166 | + | 2.68564i | −0.295381 | + | 0.170538i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.67698 | − | 1.00100i | 0.359043 | − | 0.0633091i | ||||
\(251\) | 1.36754 | − | 5.10372i | 0.0863182 | − | 0.322144i | −0.909242 | − | 0.416267i | \(-0.863338\pi\) |
0.995561 | + | 0.0941233i | \(0.0300048\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.741056 | − | 0.741056i | 0.0465898 | − | 0.0465898i | ||||
\(254\) | 1.61969 | + | 0.755274i | 0.101628 | + | 0.0473901i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 2.48613 | − | 28.4166i | 0.155081 | − | 1.77258i | −0.377314 | − | 0.926085i | \(-0.623152\pi\) |
0.532395 | − | 0.846496i | \(-0.321292\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.37385 | − | 7.12248i | 0.0853669 | − | 0.442569i | ||||
\(260\) | 0.630435i | 0.0390979i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.745570 | + | 0.888535i | −0.0460614 | + | 0.0548939i | ||||
\(263\) | −2.15331 | + | 12.2120i | −0.132779 | + | 0.753026i | 0.843602 | + | 0.536969i | \(0.180431\pi\) |
−0.976381 | + | 0.216057i | \(0.930680\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.92401 | + | 4.92401i | 0.302479 | + | 0.302479i | ||||
\(266\) | 2.20833 | + | 6.06734i | 0.135401 | + | 0.372012i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.0887363 | + | 0.503249i | 0.00542043 | + | 0.0307408i | ||||
\(269\) | 8.52263 | + | 4.92054i | 0.519634 | + | 0.300011i | 0.736785 | − | 0.676127i | \(-0.236343\pi\) |
−0.217151 | + | 0.976138i | \(0.569676\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.7195 | − | 17.3857i | 1.25862 | − | 1.05611i | 0.262793 | − | 0.964852i | \(-0.415356\pi\) |
0.995827 | − | 0.0912560i | \(-0.0290881\pi\) | |||||||
\(272\) | 0.0277417 | + | 0.0396193i | 0.00168209 | + | 0.00240227i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.24630 | − | 4.31162i | 0.558589 | − | 0.260474i | ||||
\(275\) | 7.19859 | − | 19.7780i | 0.434091 | − | 1.19266i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.5252 | − | 1.09581i | 0.752565 | − | 0.0658409i | 0.295583 | − | 0.955317i | \(-0.404486\pi\) |
0.456982 | + | 0.889476i | \(0.348930\pi\) | |||||||
\(278\) | 15.8091 | − | 1.38312i | 0.948167 | − | 0.0829538i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.243829 | − | 0.669915i | 0.0145716 | − | 0.0400351i | ||||
\(281\) | −23.4865 | + | 10.9520i | −1.40109 | + | 0.653339i | −0.968674 | − | 0.248336i | \(-0.920116\pi\) |
−0.432415 | + | 0.901675i | \(0.642339\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.80108 | − | 4.00035i | −0.166507 | − | 0.237796i | 0.727224 | − | 0.686400i | \(-0.240810\pi\) |
−0.893731 | + | 0.448604i | \(0.851921\pi\) | |||||||
\(284\) | 2.99819 | − | 2.51578i | 0.177910 | − | 0.149284i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.14032 | + | 2.39041i | 0.244822 | + | 0.141348i | ||||
\(287\) | −0.105963 | − | 0.600944i | −0.00625477 | − | 0.0354726i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.81354 | − | 15.9726i | −0.341973 | − | 0.939563i | ||||
\(290\) | −0.738961 | − | 0.738961i | −0.0433933 | − | 0.0433933i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.338440 | − | 1.91939i | 0.0198057 | − | 0.112324i | ||||
\(293\) | −7.77415 | + | 9.26487i | −0.454171 | + | 0.541260i | −0.943733 | − | 0.330709i | \(-0.892712\pi\) |
0.489562 | + | 0.871968i | \(0.337157\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.68224i | 0.389055i | ||||||||
\(296\) | −4.36950 | + | 4.23173i | −0.253972 | + | 0.245964i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.769717 | − | 8.79791i | 0.0445885 | − | 0.509649i | ||||
\(299\) | 0.186748 | + | 0.156700i | 0.0107999 | + | 0.00906221i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.66312 | − | 0.775526i | −0.0958607 | − | 0.0447006i | ||||
\(302\) | 14.7695 | − | 14.7695i | 0.849888 | − | 0.849888i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.40135 | − | 5.22989i | 0.0803727 | − | 0.299955i | ||||
\(305\) | 2.83355 | − | 0.499630i | 0.162248 | − | 0.0286088i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.3230 | − | 11.7335i | 1.15989 | − | 0.669665i | 0.208616 | − | 0.977998i | \(-0.433104\pi\) |
0.951279 | + | 0.308332i | \(0.0997709\pi\) | |||||||
\(308\) | −3.47507 | − | 4.14143i | −0.198011 | − | 0.235980i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.831084 | − | 3.10165i | −0.0472024 | − | 0.176162i | ||||
\(311\) | −8.54433 | − | 18.3234i | −0.484504 | − | 1.03902i | −0.984884 | − | 0.173217i | \(-0.944584\pi\) |
0.500380 | − | 0.865806i | \(-0.333194\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.0875 | − | 15.8346i | 0.626704 | − | 0.895026i | −0.372754 | − | 0.927930i | \(-0.621587\pi\) |
0.999459 | + | 0.0329038i | \(0.0104755\pi\) | |||||||
\(314\) | −0.826988 | − | 9.45252i | −0.0466696 | − | 0.533436i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.96623 | − | 6.27822i | −0.504390 | − | 0.353178i | ||||
\(317\) | 24.7963 | + | 9.02513i | 1.39270 | + | 0.506902i | 0.926003 | − | 0.377515i | \(-0.123222\pi\) |
0.466697 | + | 0.884417i | \(0.345444\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.65496 | + | 2.05114i | −0.428595 | + | 0.114842i | ||||
\(320\) | −0.489706 | + | 0.342896i | −0.0273754 | + | 0.0191685i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.137837 | − | 0.238741i | −0.00768136 | − | 0.0133045i | ||||
\(323\) | 0.130937 | − | 0.226789i | 0.00728552 | − | 0.0126189i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.72907 | + | 1.26715i | 0.262322 | + | 0.0702888i | ||||
\(326\) | −14.5474 | + | 5.29483i | −0.805707 | + | 0.293253i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.216256 | + | 0.463762i | −0.0119407 | + | 0.0256070i | ||||
\(329\) | 0.807804 | + | 0.142438i | 0.0445357 | + | 0.00785284i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.80213 | − | 0.245154i | −0.154019 | − | 0.0134749i | 0.00988548 | − | 0.999951i | \(-0.496853\pi\) |
−0.163904 | + | 0.986476i | \(0.552409\pi\) | |||||||
\(332\) | 4.38097 | 0.240437 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −13.7330 | −0.751434 | ||||||||
\(335\) | −0.304331 | − | 0.0266255i | −0.0166274 | − | 0.00145471i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.66687 | + | 1.35188i | 0.417641 | + | 0.0736414i | 0.378520 | − | 0.925593i | \(-0.376433\pi\) |
0.0391210 | + | 0.999234i | \(0.487544\pi\) | |||||||
\(338\) | 5.02405 | − | 10.7741i | 0.273272 | − | 0.586034i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0271706 | + | 0.00988929i | −0.00147353 | + | 0.000536322i | ||||
\(341\) | −23.5210 | − | 6.30242i | −1.27373 | − | 0.341295i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.49966 | + | 12.9898i | −0.404944 | + | 0.701383i | ||||
\(344\) | 0.769405 | + | 1.33265i | 0.0414835 | + | 0.0718516i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.3335 | − | 10.0364i | 0.770574 | − | 0.539562i | ||||
\(347\) | 27.4649 | − | 7.35920i | 1.47439 | − | 0.395063i | 0.569959 | − | 0.821673i | \(-0.306959\pi\) |
0.904435 | + | 0.426610i | \(0.140292\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 19.9377 | + | 7.25672i | 1.06724 | + | 0.388443i | 0.815143 | − | 0.579259i | \(-0.196658\pi\) |
0.252095 | + | 0.967702i | \(0.418880\pi\) | |||||||
\(350\) | −4.53513 | − | 3.17553i | −0.242413 | − | 0.169739i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.395120 | + | 4.51625i | 0.0210600 | + | 0.240717i | ||||
\(353\) | −2.54484 | + | 3.63441i | −0.135448 | + | 0.193440i | −0.881146 | − | 0.472844i | \(-0.843227\pi\) |
0.745698 | + | 0.666284i | \(0.232116\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.988837 | + | 2.12057i | 0.0524820 | + | 0.112548i | ||||
\(356\) | 1.46641 | + | 5.47270i | 0.0777194 | + | 0.290053i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.60456 | − | 10.2545i | −0.454765 | − | 0.541968i | ||||
\(359\) | −4.74631 | + | 2.74028i | −0.250500 | + | 0.144626i | −0.619993 | − | 0.784607i | \(-0.712865\pi\) |
0.369493 | + | 0.929234i | \(0.379531\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.1589 | + | 1.79128i | −0.534676 | + | 0.0942779i | ||||
\(362\) | 5.01483 | − | 18.7156i | 0.263573 | − | 0.983670i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.889237 | − | 0.889237i | 0.0466087 | − | 0.0466087i | ||||
\(365\) | 1.05598 | + | 0.492414i | 0.0552728 | + | 0.0257741i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.48223 | − | 2.92194i | −0.181771 | − | 0.152524i | 0.547362 | − | 0.836896i | \(-0.315632\pi\) |
−0.729133 | + | 0.684372i | \(0.760077\pi\) | |||||||
\(368\) | −0.0201479 | + | 0.230291i | −0.00105028 | + | 0.0120048i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.76753 | − | 3.17793i | −0.0918896 | − | 0.165213i | ||||
\(371\) | − | 13.8907i | − | 0.721172i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −20.3218 | + | 24.2186i | −1.05222 | + | 1.25399i | −0.0859993 | + | 0.996295i | \(0.527408\pi\) |
−0.966226 | + | 0.257698i | \(0.917036\pi\) | |||||||
\(374\) | −0.0380755 | + | 0.215937i | −0.00196884 | + | 0.0111658i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.486381 | − | 0.486381i | −0.0250832 | − | 0.0250832i | ||||
\(377\) | −0.630502 | − | 1.73229i | −0.0324725 | − | 0.0892175i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.982850 | − | 5.57402i | −0.0504856 | − | 0.286318i | 0.949104 | − | 0.314963i | \(-0.101992\pi\) |
−0.999590 | + | 0.0286445i | \(0.990881\pi\) | |||||||
\(380\) | 2.80318 | + | 1.61842i | 0.143800 | + | 0.0830230i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 6.99922 | − | 5.87304i | 0.358111 | − | 0.300491i | ||||
\(383\) | −2.80548 | − | 4.00664i | −0.143353 | − | 0.204730i | 0.741054 | − | 0.671445i | \(-0.234326\pi\) |
−0.884408 | + | 0.466716i | \(0.845437\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.92916 | − | 1.36589i | 0.149284 | − | 0.0696122i | ||||
\(386\) | 4.61381 | − | 12.6763i | 0.234837 | − | 0.645209i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.04480 | − | 0.0914081i | 0.0530417 | − | 0.00464054i | ||||
\(389\) | −19.7146 | + | 1.72480i | −0.999570 | + | 0.0874511i | −0.575179 | − | 0.818028i | \(-0.695067\pi\) |
−0.424391 | + | 0.905479i | \(0.639512\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.00382408 | + | 0.0105066i | −0.000193392 | + | 0.000531340i | ||||
\(392\) | 5.05531 | − | 2.35733i | 0.255332 | − | 0.119063i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.05679 | + | 4.36555i | 0.153999 | + | 0.219933i | ||||
\(395\) | 5.01268 | − | 4.20614i | 0.252216 | − | 0.211634i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.7844 | + | 13.7319i | 1.19371 | + | 0.689187i | 0.959145 | − | 0.282915i | \(-0.0913013\pi\) |
0.234561 | + | 0.972101i | \(0.424635\pi\) | |||||||
\(398\) | 1.55758 | + | 8.83347i | 0.0780744 | + | 0.442782i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.58787 | + | 4.36263i | 0.0793933 | + | 0.218131i | ||||
\(401\) | −15.4462 | − | 15.4462i | −0.771344 | − | 0.771344i | 0.206997 | − | 0.978342i | \(-0.433631\pi\) |
−0.978342 | + | 0.206997i | \(0.933631\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.983598 | − | 5.57826i | 0.0489965 | − | 0.277873i | ||||
\(404\) | −7.44699 | + | 8.87497i | −0.370501 | + | 0.441546i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.08463i | 0.103458i | ||||||||
\(407\) | −27.5727 | − | 0.441643i | −1.36673 | − | 0.0218914i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.69189 | − | 19.3384i | 0.0836587 | − | 0.956223i | −0.832135 | − | 0.554573i | \(-0.812881\pi\) |
0.915793 | − | 0.401650i | \(-0.131563\pi\) | |||||||
\(410\) | −0.234339 | − | 0.196634i | −0.0115732 | − | 0.00971104i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.76076 | − | 2.68628i | −0.283812 | − | 0.132344i | ||||
\(413\) | 9.42538 | − | 9.42538i | 0.463793 | − | 0.463793i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.677856 | + | 2.52979i | −0.0332746 | + | 0.124183i | ||||
\(416\) | −1.03853 | + | 0.183122i | −0.0509184 | + | 0.00897828i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 21.2576 | − | 12.2731i | 1.03974 | − | 0.600295i | ||||
\(419\) | 23.6403 | + | 28.1735i | 1.15491 | + | 1.37636i | 0.913949 | + | 0.405828i | \(0.133017\pi\) |
0.240957 | + | 0.970536i | \(0.422539\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.05566 | − | 22.6000i | −0.295135 | − | 1.10146i | −0.941110 | − | 0.338100i | \(-0.890216\pi\) |
0.645976 | − | 0.763358i | \(-0.276451\pi\) | |||||||
\(422\) | 3.98626 | + | 8.54857i | 0.194048 | + | 0.416138i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.68119 | + | 9.54173i | −0.324467 | + | 0.463387i | ||||
\(425\) | 0.0195704 | + | 0.223691i | 0.000949306 | + | 0.0108506i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.70149 | − | 3.29202i | −0.227521 | − | 0.159312i | ||||
\(428\) | 15.5199 | + | 5.64877i | 0.750181 | + | 0.273044i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.888587 | + | 0.238096i | −0.0428515 | + | 0.0114820i | ||||
\(431\) | −22.0915 | + | 15.4687i | −1.06411 | + | 0.745099i | −0.968172 | − | 0.250288i | \(-0.919475\pi\) |
−0.0959407 | + | 0.995387i | \(0.530586\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.21835 | + | 10.7705i | 0.298835 | + | 0.517597i | 0.975870 | − | 0.218354i | \(-0.0700687\pi\) |
−0.677035 | + | 0.735951i | \(0.736735\pi\) | |||||||
\(434\) | −3.20266 | + | 5.54717i | −0.153733 | + | 0.266273i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.07494 | + | 0.823929i | 0.147263 | + | 0.0394590i | ||||
\(437\) | 1.17616 | − | 0.428089i | 0.0562635 | − | 0.0204783i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.306298 | + | 0.656858i | −0.0146188 | + | 0.0313501i | −0.913482 | − | 0.406880i | \(-0.866617\pi\) |
0.898863 | + | 0.438230i | \(0.144394\pi\) | |||||||
\(440\) | −2.66905 | − | 0.470625i | −0.127242 | − | 0.0224362i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.0508108 | − | 0.00444537i | −0.00241682 | − | 0.000211445i | ||||
\(443\) | −12.7230 | −0.604488 | −0.302244 | − | 0.953231i | \(-0.597736\pi\) | ||||
−0.302244 | + | 0.953231i | \(0.597736\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.38711 | −0.160564 | ||||||||
\(446\) | −17.4848 | − | 1.52972i | −0.827929 | − | 0.0724344i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.17440 | + | 0.207078i | 0.0554850 | + | 0.00978350i | ||||
\(449\) | −9.03777 | + | 19.3816i | −0.426519 | + | 0.914672i | 0.569197 | + | 0.822201i | \(0.307254\pi\) |
−0.995715 | + | 0.0924707i | \(0.970524\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.17991 | + | 0.793422i | −0.102648 | + | 0.0373608i | ||||
\(452\) | 1.30237 | + | 0.348970i | 0.0612585 | + | 0.0164142i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.55374 | − | 4.42321i | 0.119853 | − | 0.207592i | ||||
\(455\) | 0.375901 | + | 0.651080i | 0.0176225 | + | 0.0305231i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.3582 | − | 14.2549i | 0.952315 | − | 0.666818i | 0.00943664 | − | 0.999955i | \(-0.496996\pi\) |
0.942878 | + | 0.333137i | \(0.108107\pi\) | |||||||
\(458\) | −0.0565117 | + | 0.0151423i | −0.00264062 | + | 0.000707552i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.129864 | − | 0.0472667i | −0.00605495 | − | 0.00220382i | ||||
\(461\) | −1.95520 | − | 1.36905i | −0.0910628 | − | 0.0637628i | 0.527158 | − | 0.849767i | \(-0.323257\pi\) |
−0.618221 | + | 0.786004i | \(0.712146\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.34327 | + | 26.7838i | 0.108901 | + | 1.24475i | 0.832304 | + | 0.554320i | \(0.187022\pi\) |
−0.723402 | + | 0.690427i | \(0.757423\pi\) | |||||||
\(464\) | 1.00267 | − | 1.43196i | 0.0465477 | − | 0.0664769i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.68494 | + | 14.3359i | 0.309674 | + | 0.664097i | ||||
\(467\) | −6.91775 | − | 25.8174i | −0.320115 | − | 1.19469i | −0.919132 | − | 0.393950i | \(-0.871108\pi\) |
0.599016 | − | 0.800737i | \(-0.295558\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.391707 | + | 0.466819i | 0.0180874 | + | 0.0215557i | ||||
\(470\) | 0.356117 | − | 0.205604i | 0.0164265 | − | 0.00948382i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.0078 | + | 1.94098i | −0.506677 | + | 0.0893409i | ||||
\(473\) | −1.80557 | + | 6.73849i | −0.0830203 | + | 0.309836i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 17.7745 | − | 17.7745i | 0.815548 | − | 0.815548i | ||||
\(476\) | 0.0522735 | + | 0.0243755i | 0.00239595 | + | 0.00111725i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.19274 | + | 6.87453i | 0.374727 | + | 0.314433i | ||||
\(479\) | 0.154256 | − | 1.76316i | 0.00704814 | − | 0.0805606i | −0.991856 | − | 0.127365i | \(-0.959348\pi\) |
0.998904 | + | 0.0468041i | \(0.0149037\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.456657 | − | 6.39834i | −0.0208218 | − | 0.291739i | ||||
\(482\) | − | 16.4579i | − | 0.749637i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.14030 | + | 7.31772i | −0.279105 | + | 0.332624i | ||||
\(485\) | −0.108875 | + | 0.617463i | −0.00494378 | + | 0.0280376i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 30.5932 | + | 30.5932i | 1.38631 | + | 1.38631i | 0.832927 | + | 0.553382i | \(0.186663\pi\) |
0.553382 | + | 0.832927i | \(0.313337\pi\) | |||||||
\(488\) | 1.64611 | + | 4.52266i | 0.0745160 | + | 0.204731i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.579046 | + | 3.28393i | 0.0261586 | + | 0.148353i | ||||
\(491\) | 28.5178 | + | 16.4648i | 1.28699 | + | 0.743045i | 0.978117 | − | 0.208057i | \(-0.0667139\pi\) |
0.308876 | + | 0.951102i | \(0.400047\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.0647682 | − | 0.0543470i | 0.00291701 | − | 0.00244767i | ||||
\(494\) | 3.27499 | + | 4.67717i | 0.147349 | + | 0.210436i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.86803 | − | 2.27000i | 0.218581 | − | 0.101926i | ||||
\(497\) | 1.59632 | − | 4.38586i | 0.0716048 | − | 0.196733i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.6991 | + | 1.11102i | −0.568488 | + | 0.0497363i | −0.367777 | − | 0.929914i | \(-0.619881\pi\) |
−0.200712 | + | 0.979650i | \(0.564325\pi\) | |||||||
\(500\) | −5.74262 | + | 0.502414i | −0.256818 | + | 0.0224686i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.80715 | + | 4.96511i | −0.0806571 | + | 0.221604i | ||||
\(503\) | 2.15717 | − | 1.00591i | 0.0961835 | − | 0.0448511i | −0.373931 | − | 0.927456i | \(-0.621990\pi\) |
0.470115 | + | 0.882605i | \(0.344213\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.97260 | − | 5.67347i | −0.176779 | − | 0.252466i | ||||
\(506\) | −0.802824 | + | 0.673649i | −0.0356899 | + | 0.0299474i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.54770 | − | 0.893565i | −0.0686681 | − | 0.0396455i | ||||
\(509\) | 1.35404 | + | 7.67912i | 0.0600166 | + | 0.340371i | 1.00000 | 0.000850181i | \(-0.000270621\pi\) | |
−0.939983 | + | 0.341221i | \(0.889160\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.794924 | − | 2.18404i | −0.0351654 | − | 0.0966161i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.95335 | + | 28.0918i | −0.218483 | + | 1.23908i | ||||
\(515\) | 2.44254 | − | 2.91091i | 0.107631 | − | 0.128270i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 3.11835i | − | 0.137145i | ||||||
\(518\) | −1.98939 | + | 6.97564i | −0.0874086 | + | 0.306492i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0549461 | − | 0.628036i | 0.00240954 | − | 0.0275412i | ||||
\(521\) | −5.30274 | − | 4.44952i | −0.232317 | − | 0.194937i | 0.519196 | − | 0.854655i | \(-0.326231\pi\) |
−0.751513 | + | 0.659718i | \(0.770676\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −37.0655 | − | 17.2839i | −1.62076 | − | 0.755774i | −0.621151 | − | 0.783691i | \(-0.713335\pi\) |
−0.999610 | + | 0.0279171i | \(0.991113\pi\) | |||||||
\(524\) | 0.820173 | − | 0.820173i | 0.0358294 | − | 0.0358294i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.20947 | − | 11.9779i | 0.139939 | − | 0.522261i | ||||
\(527\) | 0.255842 | − | 0.0451118i | 0.0111446 | − | 0.00196510i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.8723 | − | 11.4733i | 0.864013 | − | 0.498838i | ||||
\(530\) | −4.47611 | − | 5.33442i | −0.194430 | − | 0.231713i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.67112 | − | 6.23672i | −0.0724524 | − | 0.270396i | ||||
\(533\) | −0.228054 | − | 0.489063i | −0.00987810 | − | 0.0211837i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.66323 | + | 8.08794i | −0.244843 | + | 0.349672i | ||||
\(536\) | −0.0445376 | − | 0.509067i | −0.00192373 | − | 0.0219884i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.06134 | − | 5.64461i | −0.347549 | − | 0.243357i | ||||
\(539\) | 23.7624 | + | 8.64882i | 1.02352 | + | 0.372531i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −38.1108 | + | 10.2118i | −1.63851 | + | 0.439038i | −0.956364 | − | 0.292178i | \(-0.905620\pi\) |
−0.682146 | + | 0.731216i | \(0.738953\pi\) | |||||||
\(542\) | −22.1559 | + | 15.5138i | −0.951679 | + | 0.666373i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.0241831 | − | 0.0418864i | −0.00103684 | − | 0.00179586i | ||||
\(545\) | −0.951556 | + | 1.64814i | −0.0407602 | + | 0.0705987i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.7585 | − | 2.88273i | −0.459999 | − | 0.123256i | 0.0213751 | − | 0.999772i | \(-0.493196\pi\) |
−0.481374 | + | 0.876515i | \(0.659862\pi\) | |||||||
\(548\) | −9.58690 | + | 3.48934i | −0.409532 | + | 0.149057i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.89496 | + | 19.0753i | −0.379282 | + | 0.813374i | ||||
\(551\) | −9.32108 | − | 1.64356i | −0.397091 | − | 0.0700179i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −13.0033 | − | 1.13764i | −0.552955 | − | 0.0483773i | ||||
\(554\) | −12.5730 | −0.534177 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15.8695 | −0.673016 | ||||||||
\(557\) | 20.3741 | + | 1.78250i | 0.863277 | + | 0.0755270i | 0.510188 | − | 0.860063i | \(-0.329576\pi\) |
0.353089 | + | 0.935590i | \(0.385131\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.59811 | − | 0.281790i | −0.0675928 | − | 0.0119184i | ||||
\(560\) | −0.301288 | + | 0.646115i | −0.0127318 | + | 0.0273033i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 24.3517 | − | 8.86329i | 1.02721 | − | 0.373875i | ||||
\(563\) | −30.7892 | − | 8.24994i | −1.29761 | − | 0.347694i | −0.457064 | − | 0.889434i | \(-0.651099\pi\) |
−0.840546 | + | 0.541740i | \(0.817766\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.403026 | + | 0.698061i | −0.0169554 | + | 0.0293677i | ||||
\(566\) | 2.44176 | + | 4.22926i | 0.102635 | + | 0.177769i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.20605 | + | 2.24490i | −0.134523 | + | 0.0941939i | ||||
\(569\) | 28.6798 | − | 7.68472i | 1.20232 | − | 0.322160i | 0.398574 | − | 0.917136i | \(-0.369505\pi\) |
0.803744 | + | 0.594976i | \(0.202838\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 29.1082 | + | 10.5945i | 1.21814 | + | 0.443366i | 0.869520 | − | 0.493898i | \(-0.164428\pi\) |
0.348619 | + | 0.937264i | \(0.386651\pi\) | |||||||
\(572\) | −3.91622 | − | 2.74217i | −0.163746 | − | 0.114656i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.0531837 | + | 0.607892i | 0.00221984 | + | 0.0253729i | ||||
\(575\) | −0.615583 | + | 0.879143i | −0.0256716 | + | 0.0366628i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.66571 | + | 14.2947i | 0.277497 | + | 0.595094i | 0.994821 | − | 0.101646i | \(-0.0324109\pi\) |
−0.717324 | + | 0.696740i | \(0.754633\pi\) | |||||||
\(578\) | 4.39932 | + | 16.4185i | 0.182988 | + | 0.682919i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.671744 | + | 0.800554i | 0.0278927 | + | 0.0332412i | ||||
\(581\) | 4.52443 | − | 2.61218i | 0.187705 | − | 0.108372i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −52.0053 | + | 9.16993i | −2.15384 | + | 0.379780i | ||||
\(584\) | −0.504437 | + | 1.88259i | −0.0208738 | + | 0.0779019i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.55205 | − | 8.55205i | 0.353282 | − | 0.353282i | ||||
\(587\) | 36.4955 | + | 17.0181i | 1.50633 | + | 0.702413i | 0.988239 | − | 0.152914i | \(-0.0488658\pi\) |
0.518089 | + | 0.855327i | \(0.326644\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.2782 | − | 18.6937i | −0.917959 | − | 0.770259i | ||||
\(590\) | 0.582395 | − | 6.65681i | 0.0239768 | − | 0.274056i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.72169 | − | 3.83480i | 0.194060 | − | 0.157609i | ||||
\(593\) | 25.9182i | 1.06433i | 0.846639 | + | 0.532167i | \(0.178622\pi\) | ||||
−0.846639 | + | 0.532167i | \(0.821378\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.0221638 | + | 0.0264138i | −0.000908627 | + | 0.00108286i | ||||
\(596\) | −1.53358 | + | 8.69735i | −0.0628177 | + | 0.356257i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.172380 | − | 0.172380i | −0.00704915 | − | 0.00704915i | ||||
\(599\) | 4.56891 | + | 12.5530i | 0.186681 | + | 0.512901i | 0.997362 | − | 0.0725864i | \(-0.0231253\pi\) |
−0.810681 | + | 0.585488i | \(0.800903\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.86781 | + | 27.6067i | 0.198562 | + | 1.12610i | 0.907254 | + | 0.420583i | \(0.138174\pi\) |
−0.708692 | + | 0.705518i | \(0.750714\pi\) | |||||||
\(602\) | 1.58920 | + | 0.917526i | 0.0647710 | + | 0.0373955i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −16.0005 | + | 13.4260i | −0.651052 | + | 0.546297i | ||||
\(605\) | −3.27555 | − | 4.67797i | −0.133170 | − | 0.190187i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.7538 | − | 9.67764i | 0.842370 | − | 0.392803i | 0.0469756 | − | 0.998896i | \(-0.485042\pi\) |
0.795394 | + | 0.606093i | \(0.207264\pi\) | |||||||
\(608\) | −1.85183 | + | 5.08786i | −0.0751016 | + | 0.206340i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.86631 | + | 0.250769i | −0.116053 | + | 0.0101534i | ||||
\(611\) | 0.722612 | − | 0.0632204i | 0.0292338 | − | 0.00255762i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.87288 | + | 27.1255i | −0.398762 | + | 1.09559i | 0.564126 | + | 0.825688i | \(0.309213\pi\) |
−0.962888 | + | 0.269901i | \(0.913009\pi\) | |||||||
\(614\) | −21.2683 | + | 9.91757i | −0.858319 | + | 0.400241i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.10090 | + | 4.42854i | 0.124939 | + | 0.178431i | ||||
\(617\) | 18.0464 | − | 15.1427i | 0.726520 | − | 0.609623i | −0.202660 | − | 0.979249i | \(-0.564959\pi\) |
0.929181 | + | 0.369626i | \(0.120514\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.1526 | − | 7.59366i | −0.528648 | − | 0.305215i | 0.211818 | − | 0.977309i | \(-0.432062\pi\) |
−0.740466 | + | 0.672094i | \(0.765395\pi\) | |||||||
\(620\) | 0.557595 | + | 3.16228i | 0.0223936 | + | 0.127000i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.91482 | + | 18.9983i | 0.277259 | + | 0.761763i | ||||
\(623\) | 4.77756 | + | 4.77756i | 0.191409 | + | 0.191409i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.43248 | + | 19.4666i | −0.137299 | + | 0.778663i | ||||
\(626\) | −12.4254 | + | 14.8080i | −0.496619 | + | 0.591848i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.48862i | 0.378637i | ||||||||
\(629\) | 0.268593 | − | 0.120048i | 0.0107095 | − | 0.00478664i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.161210 | − | 1.84264i | 0.00641767 | − | 0.0733544i | −0.992310 | − | 0.123774i | \(-0.960500\pi\) |
0.998728 | + | 0.0504195i | \(0.0160558\pi\) | |||||||
\(632\) | 8.38493 | + | 7.03579i | 0.333535 | + | 0.279869i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −23.9154 | − | 11.1519i | −0.949801 | − | 0.442900i | ||||
\(635\) | 0.755461 | − | 0.755461i | 0.0299796 | − | 0.0299796i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.52243 | + | 5.68179i | −0.0603209 | + | 0.225121i | ||||
\(638\) | 7.80460 | − | 1.37616i | 0.308987 | − | 0.0544827i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.517728 | − | 0.298910i | 0.0204650 | − | 0.0118155i | ||||
\(641\) | 28.3827 | + | 33.8252i | 1.12105 | + | 1.33602i | 0.935478 | + | 0.353386i | \(0.114970\pi\) |
0.185573 | + | 0.982630i | \(0.440586\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.484627 | − | 1.80865i | −0.0191118 | − | 0.0713263i | 0.955711 | − | 0.294306i | \(-0.0950884\pi\) |
−0.974823 | + | 0.222979i | \(0.928422\pi\) | |||||||
\(644\) | 0.116505 | + | 0.249846i | 0.00459094 | + | 0.00984529i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.150204 | + | 0.214514i | −0.00590972 | + | 0.00843995i | ||||
\(647\) | 1.03932 | + | 11.8795i | 0.0408601 | + | 0.467033i | 0.988869 | + | 0.148789i | \(0.0475375\pi\) |
−0.948009 | + | 0.318244i | \(0.896907\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −41.5096 | − | 29.0654i | −1.62940 | − | 1.14092i | ||||
\(650\) | −4.60063 | − | 1.67449i | −0.180452 | − | 0.0656790i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 14.9535 | − | 4.00679i | 0.585626 | − | 0.156918i | ||||
\(653\) | 1.41649 | − | 0.991840i | 0.0554317 | − | 0.0388137i | −0.545532 | − | 0.838090i | \(-0.683672\pi\) |
0.600964 | + | 0.799276i | \(0.294784\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.346706 | + | 0.600513i | 0.0135469 | + | 0.0234640i | ||||
\(656\) | 0.255852 | − | 0.443149i | 0.00998935 | − | 0.0173021i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.792316 | − | 0.212300i | −0.0308877 | − | 0.00827633i | ||||
\(659\) | 26.0155 | − | 9.46888i | 1.01342 | − | 0.368855i | 0.218675 | − | 0.975798i | \(-0.429826\pi\) |
0.794746 | + | 0.606942i | \(0.207604\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.0720 | + | 43.0445i | −0.780710 | + | 1.67424i | −0.0430444 | + | 0.999073i | \(0.513706\pi\) |
−0.737666 | + | 0.675166i | \(0.764072\pi\) | |||||||
\(662\) | 2.77010 | + | 0.488443i | 0.107663 | + | 0.0189839i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.36430 | − | 0.381827i | −0.169368 | − | 0.0148177i | ||||
\(665\) | 3.85996 | 0.149683 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.404109 | 0.0156472 | ||||||||
\(668\) | 13.6807 | + | 1.19691i | 0.529322 | + | 0.0463097i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.300852 | + | 0.0530484i | 0.0116229 | + | 0.00204944i | ||||
\(671\) | −9.22124 | + | 19.7750i | −0.355982 | + | 0.763406i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 28.2890 | − | 10.2964i | 1.09046 | − | 0.396895i | 0.266670 | − | 0.963788i | \(-0.414077\pi\) |
0.823792 | + | 0.566893i | \(0.191855\pi\) | |||||||
\(674\) | −7.51987 | − | 2.01494i | −0.289655 | − | 0.0776127i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.94396 | + | 10.2952i | −0.228614 | + | 0.395971i | ||||
\(677\) | −20.8551 | − | 36.1221i | −0.801528 | − | 1.38829i | −0.918610 | − | 0.395165i | \(-0.870688\pi\) |
0.117083 | − | 0.993122i | \(-0.462646\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.02451 | − | 0.717370i | 0.0393171 | − | 0.0275301i | ||||
\(680\) | 0.0279291 | − | 0.00748358i | 0.00107103 | − | 0.000286982i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 22.8822 | + | 8.32843i | 0.876203 | + | 0.318912i | ||||
\(683\) | 17.6269 | + | 12.3425i | 0.674476 | + | 0.472273i | 0.859952 | − | 0.510376i | \(-0.170494\pi\) |
−0.185475 | + | 0.982649i | \(0.559383\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.531568 | − | 6.07586i | −0.0203102 | − | 0.232146i | ||||
\(686\) | 8.60326 | − | 12.2867i | 0.328474 | − | 0.469109i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.650329 | − | 1.39464i | −0.0247936 | − | 0.0531700i | ||||
\(689\) | −3.17928 | − | 11.8652i | −0.121121 | − | 0.452029i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −28.0778 | − | 33.4618i | −1.06813 | − | 1.27295i | −0.960358 | − | 0.278771i | \(-0.910073\pi\) |
−0.107772 | − | 0.994176i | \(-0.534372\pi\) | |||||||
\(692\) | −15.1537 | + | 8.74899i | −0.576057 | + | 0.332587i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −28.0018 | + | 4.93747i | −1.06293 | + | 0.187424i | ||||
\(695\) | 2.45544 | − | 9.16384i | 0.0931403 | − | 0.347604i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.0175003 | − | 0.0175003i | 0.000662873 | − | 0.000662873i | ||||
\(698\) | −19.2293 | − | 8.96678i | −0.727841 | − | 0.339398i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.24111 | + | 3.55871i | 0.160299 | + | 0.134507i | ||||
\(701\) | 1.77937 | − | 20.3383i | 0.0672061 | − | 0.768169i | −0.885572 | − | 0.464502i | \(-0.846233\pi\) |
0.952778 | − | 0.303667i | \(-0.0982110\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −29.6220 | − | 14.3949i | −1.11721 | − | 0.542915i | ||||
\(704\) | − | 4.53350i | − | 0.170863i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.85192 | − | 3.39878i | 0.107333 | − | 0.127915i | ||||
\(707\) | −2.39909 | + | 13.6059i | −0.0902270 | + | 0.511703i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.4520 | + | 10.4520i | 0.392533 | + | 0.392533i | 0.875589 | − | 0.483056i | \(-0.160473\pi\) |
−0.483056 | + | 0.875589i | \(0.660473\pi\) | |||||||
\(710\) | −0.800255 | − | 2.19868i | −0.0300330 | − | 0.0825150i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.983849 | − | 5.57968i | −0.0368713 | − | 0.209108i | ||||
\(713\) | 1.07533 | + | 0.620841i | 0.0402714 | + | 0.0232507i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.18941 | − | 1.83714i | 0.0818795 | − | 0.0687050i | ||||
\(716\) | 7.67808 | + | 10.9654i | 0.286943 | + | 0.409797i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.96708 | − | 2.31619i | 0.185370 | − | 0.0864393i | ||||
\(719\) | 12.3740 | − | 33.9973i | 0.461472 | − | 1.26788i | −0.462906 | − | 0.886407i | \(-0.653193\pi\) |
0.924378 | − | 0.381477i | \(-0.124584\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.55111 | + | 0.660637i | −0.281218 | + | 0.0246034i | ||||
\(722\) | 10.2763 | − | 0.899061i | 0.382445 | − | 0.0334596i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.62692 | + | 18.2073i | −0.246287 | + | 0.676669i | ||||
\(725\) | 7.35535 | − | 3.42986i | 0.273171 | − | 0.127382i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.89453 | + | 12.7027i | 0.329880 | + | 0.471117i | 0.949492 | − | 0.313791i | \(-0.101599\pi\) |
−0.619612 | + | 0.784908i | \(0.712710\pi\) | |||||||
\(728\) | −0.963356 | + | 0.808351i | −0.0357043 | + | 0.0299595i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.00905 | − | 0.582575i | −0.0373466 | − | 0.0215621i | ||||
\(731\) | −0.0129240 | − | 0.0732958i | −0.000478012 | − | 0.00271094i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.5714 | − | 37.2871i | −0.501271 | − | 1.37723i | −0.890035 | − | 0.455893i | \(-0.849320\pi\) |
0.388764 | − | 0.921338i | \(-0.372902\pi\) | |||||||
\(734\) | 3.21432 | + | 3.21432i | 0.118643 | + | 0.118643i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.0401424 | − | 0.227659i | 0.00147967 | − | 0.00839161i | ||||
\(737\) | 1.48913 | − | 1.77467i | 0.0548527 | − | 0.0653710i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 14.5362i | − | 0.534723i | −0.963596 | − | 0.267362i | \(-0.913848\pi\) | ||
0.963596 | − | 0.267362i | \(-0.0861518\pi\) | |||||||
\(740\) | 1.48383 | + | 3.31989i | 0.0545467 | + | 0.122042i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.21066 | + | 13.8379i | −0.0444447 | + | 0.508005i | ||||
\(743\) | −20.7375 | − | 17.4008i | −0.760785 | − | 0.638375i | 0.177546 | − | 0.984113i | \(-0.443184\pi\) |
−0.938331 | + | 0.345738i | \(0.887629\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.78500 | − | 2.23128i | −0.175309 | − | 0.0817479i | ||||
\(746\) | 22.3553 | − | 22.3553i | 0.818486 | − | 0.818486i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.0567508 | − | 0.211797i | 0.00207502 | − | 0.00774406i | ||||
\(749\) | 19.3962 | − | 3.42007i | 0.708722 | − | 0.124967i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.18112 | − | 2.41397i | 0.152571 | − | 0.0880869i | −0.421771 | − | 0.906702i | \(-0.638591\pi\) |
0.574342 | + | 0.818616i | \(0.305258\pi\) | |||||||
\(752\) | 0.442139 | + | 0.526921i | 0.0161232 | + | 0.0192148i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.477124 | + | 1.78065i | 0.0173758 | + | 0.0648475i | ||||
\(755\) | −5.27715 | − | 11.3169i | −0.192055 | − | 0.411863i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 15.4003 | − | 21.9940i | 0.559735 | − | 0.799384i | −0.435154 | − | 0.900356i | \(-0.643306\pi\) |
0.994889 | + | 0.100971i | \(0.0321951\pi\) | |||||||
\(758\) | 0.493302 | + | 5.63847i | 0.0179176 | + | 0.204799i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.65146 | − | 1.85657i | −0.0961785 | − | 0.0673449i | ||||
\(761\) | 29.0679 | + | 10.5799i | 1.05371 | + | 0.383520i | 0.810062 | − | 0.586344i | \(-0.199433\pi\) |
0.243649 | + | 0.969863i | \(0.421655\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.66691 | − | 0.982546i | 0.132751 | − | 0.0355705i | ||||
\(764\) | −7.48446 | + | 5.24067i | −0.270778 | + | 0.189601i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.44560 | + | 4.23590i | 0.0883631 | + | 0.153049i | ||||
\(767\) | 5.89373 | − | 10.2082i | 0.212810 | − | 0.368598i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −40.1369 | − | 10.7546i | −1.44737 | − | 0.387822i | −0.552264 | − | 0.833669i | \(-0.686236\pi\) |
−0.895109 | + | 0.445847i | \(0.852903\pi\) | |||||||
\(770\) | −3.03706 | + | 1.10540i | −0.109448 | + | 0.0398358i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.70107 | + | 12.2260i | −0.205186 | + | 0.440023i | ||||
\(773\) | 29.8687 | + | 5.26665i | 1.07430 | + | 0.189428i | 0.682694 | − | 0.730704i | \(-0.260808\pi\) |
0.391607 | + | 0.920133i | \(0.371919\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 24.8419 | + | 2.17338i | 0.892346 | + | 0.0780702i | ||||
\(776\) | −1.04879 | −0.0376494 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 19.7899 | 0.709503 | ||||||||
\(779\) | −2.76002 | − | 0.241471i | −0.0988881 | − | 0.00865158i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.4739 | − | 3.08112i | −0.625266 | − | 0.110251i | ||||
\(782\) | 0.00472524 | − | 0.0101333i | 0.000168974 | − | 0.000362366i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.24152 | + | 1.90776i | −0.187197 | + | 0.0681342i | ||||
\(785\) | −5.47921 | − | 1.46815i | −0.195561 | − | 0.0524005i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.89043 | − | 3.27431i | 0.0673864 | − | 0.116717i | −0.830364 | − | 0.557222i | \(-0.811867\pi\) |
0.897750 | + | 0.440505i | \(0.145201\pi\) | |||||||
\(788\) | −2.66467 | − | 4.61535i | −0.0949251 | − | 0.164415i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.36020 | + | 3.75325i | −0.190707 | + | 0.133535i | ||||
\(791\) | 1.55310 | − | 0.416151i | 0.0552218 | − | 0.0147966i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.76939 | − | 1.73592i | −0.169366 | − | 0.0616442i | ||||
\(794\) | −22.4971 | − | 15.7526i | −0.798392 | − | 0.559040i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.781764 | − | 8.93561i | −0.0277089 | − | 0.316714i | ||||
\(797\) | −13.5400 | + | 19.3371i | −0.479611 | + | 0.684955i | −0.983928 | − | 0.178563i | \(-0.942855\pi\) |
0.504318 | + | 0.863518i | \(0.331744\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.0140599 | + | 0.0301515i | 0.000497403 | + | 0.00106668i | ||||
\(800\) | −1.20160 | − | 4.48442i | −0.0424828 | − | 0.158548i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 14.0412 | + | 16.7336i | 0.495811 | + | 0.590884i | ||||
\(803\) | −7.65200 | + | 4.41789i | −0.270033 | + | 0.155904i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.162300 | + | 0.0286179i | −0.00572032 | + | 0.00100865i | ||||
\(806\) | −1.46603 | + | 5.47131i | −0.0516388 | + | 0.192719i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.19215 | − | 8.19215i | 0.288199 | − | 0.288199i | ||||
\(809\) | 34.9902 | + | 16.3162i | 1.23019 | + | 0.573647i | 0.925480 | − | 0.378797i | \(-0.123662\pi\) |
0.304711 | + | 0.952445i | \(0.401440\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.1576 | + | 9.36231i | 0.391795 | + | 0.328755i | 0.817312 | − | 0.576195i | \(-0.195463\pi\) |
−0.425517 | + | 0.904951i | \(0.639908\pi\) | |||||||
\(812\) | 0.181687 | − | 2.07670i | 0.00637597 | − | 0.0728777i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 27.4292 | + | 2.84308i | 0.961395 | + | 0.0996498i | ||||
\(815\) | 9.25489i | 0.324185i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.35552 | + | 6.38246i | −0.187366 | + | 0.223294i | ||||
\(818\) | −3.37091 | + | 19.1174i | −0.117861 | + | 0.668423i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.216309 | + | 0.216309i | 0.00755385 | + | 0.00755385i | ||||
\(821\) | −5.01893 | − | 13.7894i | −0.175162 | − | 0.481253i | 0.820781 | − | 0.571243i | \(-0.193539\pi\) |
−0.995943 | + | 0.0899902i | \(0.971316\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.55547 | + | 14.4928i | 0.0890781 | + | 0.505187i | 0.996402 | + | 0.0847545i | \(0.0270106\pi\) |
−0.907324 | + | 0.420433i | \(0.861878\pi\) | |||||||
\(824\) | 5.50471 | + | 3.17814i | 0.191766 | + | 0.110716i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −10.2110 | + | 8.56804i | −0.355286 | + | 0.298120i | ||||
\(827\) | −22.3676 | − | 31.9442i | −0.777796 | − | 1.11081i | −0.991008 | − | 0.133802i | \(-0.957281\pi\) |
0.213212 | − | 0.977006i | \(-0.431608\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 49.3382 | − | 23.0068i | 1.71359 | − | 0.799058i | 0.719015 | − | 0.694995i | \(-0.244593\pi\) |
0.994571 | − | 0.104063i | \(-0.0331845\pi\) | |||||||
\(830\) | 0.895762 | − | 2.46109i | 0.0310924 | − | 0.0854256i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.05054 | − | 0.0919106i | 0.0364210 | − | 0.00318643i | ||||
\(833\) | −0.268756 | + | 0.0235131i | −0.00931185 | + | 0.000814681i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.80793 | + | 7.71474i | −0.0971726 | + | 0.266979i | ||||
\(836\) | −22.2463 | + | 10.3736i | −0.769405 | + | 0.358780i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −21.0949 | − | 30.1266i | −0.728711 | − | 1.04071i | ||||
\(839\) | −40.0489 | + | 33.6050i | −1.38264 | + | 1.16017i | −0.414418 | + | 0.910087i | \(0.636015\pi\) |
−0.968223 | + | 0.250087i | \(0.919541\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.4683 | + | 12.9721i | 0.774769 | + | 0.447313i | ||||
\(842\) | 4.06289 | + | 23.0418i | 0.140016 | + | 0.794073i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.22604 | − | 8.86347i | −0.111045 | − | 0.305093i | ||||
\(845\) | −5.02529 | − | 5.02529i | −0.172875 | − | 0.172875i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.97813 | + | 11.2185i | −0.0679694 | + | 0.385474i | ||||
\(848\) | 7.48738 | − | 8.92312i | 0.257118 | − | 0.306421i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 0.224546i | − | 0.00770185i | ||||||
\(851\) | 1.35224 | + | 0.385646i | 0.0463542 | + | 0.0132198i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.14029 | − | 35.8937i | 0.107522 | − | 1.22898i | −0.730336 | − | 0.683088i | \(-0.760636\pi\) |
0.837857 | − | 0.545889i | \(-0.183808\pi\) | |||||||
\(854\) | 4.39668 | + | 3.68925i | 0.150451 | + | 0.126244i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.9685 | − | 6.97992i | −0.511612 | − | 0.238569i | ||||
\(857\) | 38.0024 | − | 38.0024i | 1.29814 | − | 1.29814i | 0.368516 | − | 0.929621i | \(-0.379866\pi\) |
0.929621 | − | 0.368516i | \(-0.120134\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.8455 | − | 47.9400i | 0.438282 | − | 1.63569i | −0.294805 | − | 0.955557i | \(-0.595255\pi\) |
0.733087 | − | 0.680135i | \(-0.238079\pi\) | |||||||
\(860\) | 0.905957 | − | 0.159745i | 0.0308929 | − | 0.00544725i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 23.3557 | − | 13.4844i | 0.795497 | − | 0.459280i | ||||
\(863\) | −3.84227 | − | 4.57904i | −0.130792 | − | 0.155872i | 0.696673 | − | 0.717388i | \(-0.254663\pi\) |
−0.827466 | + | 0.561516i | \(0.810218\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.70742 | − | 10.1042i | −0.0920550 | − | 0.343554i | ||||
\(866\) | −5.25598 | − | 11.2715i | −0.178605 | − | 0.383020i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.67394 | − | 5.24693i | 0.124702 | − | 0.178092i | ||||
\(869\) | 4.32489 | + | 49.4337i | 0.146712 | + | 1.67692i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.441433 | + | 0.309095i | 0.0149574 | + | 0.0104733i | ||||
\(872\) | −2.99143 | − | 1.08879i | −0.101303 | − | 0.0368712i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.20900 | + | 0.323950i | −0.0408950 | + | 0.0109578i | ||||
\(875\) | −5.63110 | + | 3.94294i | −0.190366 | + | 0.133296i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.3852 | + | 19.7197i | 0.384450 | + | 0.665887i | 0.991693 | − | 0.128629i | \(-0.0410577\pi\) |
−0.607242 | + | 0.794517i | \(0.707724\pi\) | |||||||
\(878\) | 0.362381 | − | 0.627663i | 0.0122298 | − | 0.0211826i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.61787 | + | 0.701456i | 0.0882484 | + | 0.0236461i | ||||
\(881\) | −30.5232 | + | 11.1095i | −1.02835 | + | 0.374290i | −0.800454 | − | 0.599395i | \(-0.795408\pi\) |
−0.227900 | + | 0.973685i | \(0.573186\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.38026 | + | 15.8270i | −0.248366 | + | 0.532622i | −0.990481 | − | 0.137651i | \(-0.956045\pi\) |
0.742115 | + | 0.670272i | \(0.233823\pi\) | |||||||
\(884\) | 0.0502300 | + | 0.00885691i | 0.00168942 | + | 0.000297890i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 12.6746 | + | 1.10888i | 0.425811 | + | 0.0372536i | ||||
\(887\) | −42.7684 | −1.43602 | −0.718011 | − | 0.696031i | \(-0.754947\pi\) | ||||
−0.718011 | + | 0.696031i | \(0.754947\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.13118 | −0.0714773 | ||||||||
\(890\) | 3.37422 | + | 0.295206i | 0.113104 | + | 0.00989533i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.2849 | + | 3.04780i | 0.578743 | + | 0.102048i | ||||
\(893\) | 1.57394 | − | 3.37533i | 0.0526700 | − | 0.112951i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.52000 | + | 2.73706i | −0.251366 | + | 0.0914897i | ||||
\(896\) | −1.15188 | − | 0.308645i | −0.0384816 | − | 0.0103111i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 10.6926 | − | 18.5201i | 0.356816 | − | 0.618024i | ||||
\(899\) | −4.69476 | − | 8.13156i | −0.156579 | − | 0.271203i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.461498 | − | 0.323144i | 0.0153747 | − | 0.0107655i | ||||
\(902\) | 2.24077 | − | 0.600411i | 0.0746093 | − | 0.0199915i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.26700 | − | 0.461151i | −0.0421399 | − | 0.0153377i | ||||
\(905\) | −9.48845 | − | 6.64388i | −0.315407 | − | 0.220850i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.68863 | + | 53.5913i | 0.155683 | + | 1.77947i | 0.525923 | + | 0.850532i | \(0.323720\pi\) |
−0.370240 | + | 0.928936i | \(0.620724\pi\) | |||||||
\(908\) | −2.92953 | + | 4.18381i | −0.0972200 | + | 0.138844i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.317725 | − | 0.681364i | −0.0105325 | − | 0.0225870i | ||||
\(911\) | −2.73906 | − | 10.2223i | −0.0907490 | − | 0.338680i | 0.905592 | − | 0.424151i | \(-0.139427\pi\) |
−0.996341 | + | 0.0854706i | \(0.972761\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.7665 | − | 15.2145i | −0.422509 | − | 0.503526i | ||||
\(914\) | −21.5231 | + | 12.4264i | −0.711921 | + | 0.411028i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.0576164 | − | 0.0101593i | 0.00190370 | − | 0.000335674i | ||||
\(917\) | 0.357997 | − | 1.33606i | 0.0118221 | − | 0.0441207i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.91035 | + | 6.91035i | −0.227952 | + | 0.227952i | −0.811836 | − | 0.583885i | \(-0.801532\pi\) |
0.583885 | + | 0.811836i | \(0.301532\pi\) | |||||||
\(920\) | 0.125251 | + | 0.0584053i | 0.00412939 | + | 0.00192556i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.82844 | + | 1.53424i | 0.0602165 | + | 0.0505276i | ||||
\(923\) | 0.359725 | − | 4.11168i | 0.0118405 | − | 0.135338i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 27.8858 | − | 4.45778i | 0.916881 | − | 0.146571i | ||||
\(926\) | − | 26.8861i | − | 0.883531i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.12365 | + | 1.33912i | −0.0368858 | + | 0.0439588i | ||||
\(929\) | 6.08342 | − | 34.5008i | 0.199591 | − | 1.13194i | −0.706137 | − | 0.708075i | \(-0.749564\pi\) |
0.905728 | − | 0.423860i | \(-0.139325\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 21.3553 | + | 21.3553i | 0.699892 | + | 0.699892i | ||||
\(932\) | −5.41004 | − | 14.8640i | −0.177212 | − | 0.486886i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 4.64129 | + | 26.3221i | 0.151868 | + | 0.861285i | ||||
\(935\) | 0.113521 | + | 0.0655416i | 0.00371255 | + | 0.00214344i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 33.5369 | − | 28.1408i | 1.09560 | − | 0.919319i | 0.0984806 | − | 0.995139i | \(-0.468602\pi\) |
0.997122 | + | 0.0758196i | \(0.0241573\pi\) | |||||||
\(938\) | −0.349531 | − | 0.499182i | −0.0114126 | − | 0.0162989i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.372682 | + | 0.173784i | −0.0121555 | + | 0.00566822i | ||||
\(941\) | 14.4396 | − | 39.6724i | 0.470717 | − | 1.29328i | −0.446461 | − | 0.894803i | \(-0.647316\pi\) |
0.917177 | − | 0.398480i | \(-0.130462\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.117841 | − | 0.0103097i | 0.00383743 | − | 0.000335732i | ||||
\(944\) | 11.1351 | − | 0.974197i | 0.362417 | − | 0.0317074i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.38600 | − | 6.55548i | 0.0775755 | − | 0.213137i | ||||
\(947\) | 43.1334 | − | 20.1134i | 1.40165 | − | 0.653598i | 0.432852 | − | 0.901465i | \(-0.357507\pi\) |
0.968794 | + | 0.247867i | \(0.0797296\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.17889 | − | 1.68362i | −0.0382683 | − | 0.0546527i | ||||
\(950\) | −19.2560 | + | 16.1577i | −0.624746 | + | 0.524224i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.0499501 | − | 0.0288387i | −0.00161889 | − | 0.000934667i | ||||
\(953\) | 1.10513 | + | 6.26749i | 0.0357986 | + | 0.203024i | 0.997461 | − | 0.0712112i | \(-0.0226864\pi\) |
−0.961663 | + | 0.274235i | \(0.911575\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.86818 | − | 5.13278i | −0.0604528 | − | 0.166093i | ||||
\(956\) | −7.56241 | − | 7.56241i | −0.244586 | − | 0.244586i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.307338 | + | 1.74300i | −0.00992965 | + | 0.0563138i | ||||
\(959\) | −7.82029 | + | 9.31986i | −0.252530 | + | 0.300954i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.14936i | 0.0693343i | ||||||||
\(962\) | −0.102732 | + | 6.41379i | −0.00331222 | + | 0.206789i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.43440 | + | 16.3953i | −0.0461989 | + | 0.528056i | ||||
\(965\) | −6.17779 | − | 5.18378i | −0.198870 | − | 0.166872i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.7707 | + | 5.48875i | 0.378519 | + | 0.176506i | 0.602560 | − | 0.798073i | \(-0.294147\pi\) |
−0.224041 | + | 0.974580i | \(0.571925\pi\) | |||||||
\(968\) | 6.75472 | − | 6.75472i | 0.217105 | − | 0.217105i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.162277 | − | 0.605625i | 0.00521039 | − | 0.0194454i | ||||
\(971\) | 2.77960 | − | 0.490118i | 0.0892016 | − | 0.0157286i | −0.128869 | − | 0.991662i | \(-0.541135\pi\) |
0.218071 | + | 0.975933i | \(0.430024\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −16.3892 | + | 9.46228i | −0.525412 | + | 0.303347i | ||||
\(974\) | −27.8104 | − | 33.1431i | −0.891103 | − | 1.06197i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.24567 | − | 4.64891i | −0.0398730 | − | 0.148808i | ||||
\(977\) | 0.843234 | + | 1.80832i | 0.0269775 | + | 0.0578534i | 0.919335 | − | 0.393476i | \(-0.128728\pi\) |
−0.892357 | + | 0.451330i | \(0.850950\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.7327 | − | 21.0405i | 0.470860 | − | 0.672458i | ||||
\(980\) | −0.290629 | − | 3.32190i | −0.00928380 | − | 0.106114i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −26.9743 | − | 18.8876i | −0.860785 | − | 0.602728i | ||||
\(983\) | 7.84797 | + | 2.85643i | 0.250312 | + | 0.0911059i | 0.464129 | − | 0.885768i | \(-0.346367\pi\) |
−0.213817 | + | 0.976874i | \(0.568590\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.07743 | − | 0.824596i | 0.0980552 | − | 0.0262738i | ||||
\(986\) | −0.0692584 | + | 0.0484953i | −0.00220564 | + | 0.00154440i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.85489 | − | 4.94481i | −0.0908260 | − | 0.157315i | ||||
\(989\) | 0.177864 | − | 0.308069i | 0.00565574 | − | 0.00979604i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 38.1958 | + | 10.2345i | 1.21333 | + | 0.325111i | 0.808068 | − | 0.589090i | \(-0.200514\pi\) |
0.405262 | + | 0.914200i | \(0.367180\pi\) | |||||||
\(992\) | −5.04735 | + | 1.83709i | −0.160254 | + | 0.0583275i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.97250 | + | 4.23004i | −0.0625639 | + | 0.134169i | ||||
\(995\) | 5.28083 | + | 0.931153i | 0.167414 | + | 0.0295195i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 49.9703 | + | 4.37183i | 1.58258 | + | 0.138457i | 0.844236 | − | 0.535972i | \(-0.180055\pi\) |
0.738339 | + | 0.674429i | \(0.235610\pi\) | |||||||
\(998\) | 12.7476 | 0.403518 | ||||||||
\(999\) | 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 | 666.2.bs.b.35.2 | ✓ | 96 | |
3.2 | odd | 2 | inner | 666.2.bs.b.35.7 | yes | 96 | |
37.18 | odd | 36 | inner | 666.2.bs.b.647.7 | yes | 96 | |
111.92 | even | 36 | inner | 666.2.bs.b.647.2 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.b.35.2 | ✓ | 96 | 1.1 | even | 1 | trivial | |
666.2.bs.b.35.7 | yes | 96 | 3.2 | odd | 2 | inner | |
666.2.bs.b.647.2 | yes | 96 | 111.92 | even | 36 | inner | |
666.2.bs.b.647.7 | yes | 96 | 37.18 | odd | 36 | inner |