Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(49,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([12, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.n (of order \(15\), degree \(8\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 125.3 | ||
Character | \(\chi\) | \(=\) | 418.125 |
Dual form | 418.2.n.e.311.3 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.913545 | − | 0.406737i | 0.645974 | − | 0.287606i | ||||
\(3\) | −0.547677 | − | 0.608257i | −0.316202 | − | 0.351177i | 0.564002 | − | 0.825773i | \(-0.309261\pi\) |
−0.880204 | + | 0.474596i | \(0.842594\pi\) | |||||||
\(4\) | 0.669131 | − | 0.743145i | 0.334565 | − | 0.371572i | ||||
\(5\) | −0.129363 | − | 1.23080i | −0.0578527 | − | 0.550432i | −0.984609 | − | 0.174769i | \(-0.944082\pi\) |
0.926757 | − | 0.375662i | \(-0.122585\pi\) | |||||||
\(6\) | −0.747728 | − | 0.332910i | −0.305259 | − | 0.135910i | ||||
\(7\) | 0.847071 | + | 2.60701i | 0.320163 | + | 0.985359i | 0.973577 | + | 0.228359i | \(0.0733359\pi\) |
−0.653415 | + | 0.757000i | \(0.726664\pi\) | |||||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 0.243559 | − | 2.31731i | 0.0811863 | − | 0.772436i | ||||
\(10\) | −0.618791 | − | 1.07178i | −0.195679 | − | 0.338926i | ||||
\(11\) | 3.30120 | − | 0.319478i | 0.995350 | − | 0.0963262i | ||||
\(12\) | −0.818491 | −0.236278 | ||||||||
\(13\) | 0.304250 | − | 2.89475i | 0.0843838 | − | 0.802859i | −0.867714 | − | 0.497064i | \(-0.834411\pi\) |
0.952098 | − | 0.305794i | \(-0.0989220\pi\) | |||||||
\(14\) | 1.83421 | + | 2.03709i | 0.490212 | + | 0.544436i | ||||
\(15\) | −0.677795 | + | 0.752768i | −0.175006 | + | 0.194364i | ||||
\(16\) | −0.104528 | − | 0.994522i | −0.0261321 | − | 0.248630i | ||||
\(17\) | −0.166313 | − | 1.58237i | −0.0403369 | − | 0.383780i | −0.996002 | − | 0.0893259i | \(-0.971529\pi\) |
0.955666 | − | 0.294454i | \(-0.0951379\pi\) | |||||||
\(18\) | −0.720032 | − | 2.21603i | −0.169713 | − | 0.522324i | ||||
\(19\) | −3.93789 | − | 1.86896i | −0.903414 | − | 0.428768i | ||||
\(20\) | −1.00123 | − | 0.727433i | −0.223881 | − | 0.162659i | ||||
\(21\) | 1.12181 | − | 1.94304i | 0.244800 | − | 0.424006i | ||||
\(22\) | 2.88585 | − | 1.63458i | 0.615266 | − | 0.348493i | ||||
\(23\) | −1.40203 | − | 2.42839i | −0.292344 | − | 0.506355i | 0.682020 | − | 0.731334i | \(-0.261102\pi\) |
−0.974364 | + | 0.224979i | \(0.927769\pi\) | |||||||
\(24\) | −0.747728 | + | 0.332910i | −0.152629 | + | 0.0679550i | ||||
\(25\) | 3.39260 | − | 0.721119i | 0.678520 | − | 0.144224i | ||||
\(26\) | −0.899454 | − | 2.76823i | −0.176397 | − | 0.542895i | ||||
\(27\) | −3.52943 | + | 2.56428i | −0.679239 | + | 0.493496i | ||||
\(28\) | 2.50419 | + | 1.11494i | 0.473248 | + | 0.210703i | ||||
\(29\) | −3.06616 | + | 3.40531i | −0.569371 | + | 0.632351i | −0.957216 | − | 0.289374i | \(-0.906553\pi\) |
0.387845 | + | 0.921725i | \(0.373220\pi\) | |||||||
\(30\) | −0.313019 | + | 0.963372i | −0.0571491 | + | 0.175887i | ||||
\(31\) | 2.75612 | + | 2.00244i | 0.495014 | + | 0.359649i | 0.807109 | − | 0.590402i | \(-0.201031\pi\) |
−0.312095 | + | 0.950051i | \(0.601031\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −2.00232 | − | 1.83301i | −0.348559 | − | 0.319086i | ||||
\(34\) | −0.795541 | − | 1.37792i | −0.136434 | − | 0.236311i | ||||
\(35\) | 3.09914 | − | 1.37983i | 0.523851 | − | 0.233233i | ||||
\(36\) | −1.55912 | − | 1.73158i | −0.259854 | − | 0.288597i | ||||
\(37\) | 2.13847 | + | 6.58153i | 0.351562 | + | 1.08200i | 0.957976 | + | 0.286848i | \(0.0926074\pi\) |
−0.606414 | + | 0.795149i | \(0.707393\pi\) | |||||||
\(38\) | −4.35762 | − | 0.105693i | −0.706899 | − | 0.0171457i | ||||
\(39\) | −1.92738 | + | 1.40032i | −0.308628 | + | 0.224231i | ||||
\(40\) | −1.21054 | − | 0.257308i | −0.191403 | − | 0.0406839i | ||||
\(41\) | −1.63602 | − | 1.81698i | −0.255503 | − | 0.283765i | 0.601723 | − | 0.798705i | \(-0.294481\pi\) |
−0.857227 | + | 0.514939i | \(0.827814\pi\) | |||||||
\(42\) | 0.234523 | − | 2.23134i | 0.0361877 | − | 0.344303i | ||||
\(43\) | −5.84733 | + | 10.1279i | −0.891709 | + | 1.54449i | −0.0538836 | + | 0.998547i | \(0.517160\pi\) |
−0.837825 | + | 0.545938i | \(0.816173\pi\) | |||||||
\(44\) | 1.97152 | − | 2.66704i | 0.297217 | − | 0.402072i | ||||
\(45\) | −2.88366 | −0.429870 | ||||||||
\(46\) | −2.26854 | − | 1.64819i | −0.334477 | − | 0.243012i | ||||
\(47\) | 12.0151 | − | 2.55388i | 1.75258 | − | 0.372522i | 0.783909 | − | 0.620876i | \(-0.213223\pi\) |
0.968669 | + | 0.248354i | \(0.0798895\pi\) | |||||||
\(48\) | −0.547677 | + | 0.608257i | −0.0790504 | + | 0.0877943i | ||||
\(49\) | −0.415880 | + | 0.302154i | −0.0594114 | + | 0.0431649i | ||||
\(50\) | 2.80599 | − | 2.03867i | 0.396826 | − | 0.288311i | ||||
\(51\) | −0.871400 | + | 0.967787i | −0.122020 | + | 0.135517i | ||||
\(52\) | −1.94763 | − | 2.16307i | −0.270088 | − | 0.299963i | ||||
\(53\) | −0.538187 | + | 5.12051i | −0.0739257 | + | 0.703356i | 0.893304 | + | 0.449453i | \(0.148381\pi\) |
−0.967230 | + | 0.253903i | \(0.918286\pi\) | |||||||
\(54\) | −2.18131 | + | 3.77814i | −0.296838 | + | 0.514139i | ||||
\(55\) | −0.820266 | − | 4.02180i | −0.110605 | − | 0.542299i | ||||
\(56\) | 2.74118 | 0.366305 | ||||||||
\(57\) | 1.01989 | + | 3.41884i | 0.135087 | + | 0.452836i | ||||
\(58\) | −1.41601 | + | 4.35803i | −0.185931 | + | 0.572237i | ||||
\(59\) | 11.7397 | + | 2.49534i | 1.52837 | + | 0.324866i | 0.893967 | − | 0.448132i | \(-0.147911\pi\) |
0.634408 | + | 0.772999i | \(0.281244\pi\) | |||||||
\(60\) | 0.105882 | + | 1.00740i | 0.0136693 | + | 0.130055i | ||||
\(61\) | 1.07800 | + | 0.479955i | 0.138023 | + | 0.0614520i | 0.474586 | − | 0.880209i | \(-0.342598\pi\) |
−0.336563 | + | 0.941661i | \(0.609264\pi\) | |||||||
\(62\) | 3.33231 | + | 0.708304i | 0.423204 | + | 0.0899547i | ||||
\(63\) | 6.24757 | − | 1.32796i | 0.787120 | − | 0.167307i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −3.60222 | −0.446801 | ||||||||
\(66\) | −2.57476 | − | 0.860121i | −0.316931 | − | 0.105874i | ||||
\(67\) | 5.29120 | + | 9.16462i | 0.646422 | + | 1.11964i | 0.983971 | + | 0.178328i | \(0.0570689\pi\) |
−0.337549 | + | 0.941308i | \(0.609598\pi\) | |||||||
\(68\) | −1.28721 | − | 0.935215i | −0.156098 | − | 0.113411i | ||||
\(69\) | −0.709225 | + | 2.18277i | −0.0853807 | + | 0.262775i | ||||
\(70\) | 2.26998 | − | 2.52107i | 0.271315 | − | 0.301325i | ||||
\(71\) | 0.521665 | + | 4.96331i | 0.0619102 | + | 0.589037i | 0.980867 | + | 0.194678i | \(0.0623663\pi\) |
−0.918957 | + | 0.394358i | \(0.870967\pi\) | |||||||
\(72\) | −2.12863 | − | 0.947726i | −0.250861 | − | 0.111691i | ||||
\(73\) | −14.7336 | − | 3.13173i | −1.72444 | − | 0.366541i | −0.764040 | − | 0.645169i | \(-0.776787\pi\) |
−0.960399 | + | 0.278628i | \(0.910120\pi\) | |||||||
\(74\) | 4.63054 | + | 5.14273i | 0.538289 | + | 0.597831i | ||||
\(75\) | −2.29667 | − | 1.66863i | −0.265197 | − | 0.192677i | ||||
\(76\) | −4.02387 | + | 1.67585i | −0.461570 | + | 0.192233i | ||||
\(77\) | 3.62923 | + | 8.33566i | 0.413590 | + | 0.949937i | ||||
\(78\) | −1.19119 | + | 2.06320i | −0.134875 | + | 0.233611i | ||||
\(79\) | −5.51875 | + | 2.45710i | −0.620908 | + | 0.276446i | −0.692984 | − | 0.720953i | \(-0.743704\pi\) |
0.0720761 | + | 0.997399i | \(0.477038\pi\) | |||||||
\(80\) | −1.21054 | + | 0.257308i | −0.135342 | + | 0.0287679i | ||||
\(81\) | −3.34474 | − | 0.710946i | −0.371637 | − | 0.0789940i | ||||
\(82\) | −2.23361 | − | 0.994469i | −0.246661 | − | 0.109821i | ||||
\(83\) | 5.91320 | − | 4.29619i | 0.649058 | − | 0.471568i | −0.213892 | − | 0.976857i | \(-0.568614\pi\) |
0.862950 | + | 0.505289i | \(0.168614\pi\) | |||||||
\(84\) | −0.693319 | − | 2.13382i | −0.0756473 | − | 0.232819i | ||||
\(85\) | −1.92607 | + | 0.409398i | −0.208911 | + | 0.0444055i | ||||
\(86\) | −1.22242 | + | 11.6306i | −0.131817 | + | 1.25416i | ||||
\(87\) | 3.75057 | 0.402103 | ||||||||
\(88\) | 0.716286 | − | 3.23835i | 0.0763563 | − | 0.345210i | ||||
\(89\) | −5.71516 | − | 9.89895i | −0.605806 | − | 1.04929i | −0.991924 | − | 0.126837i | \(-0.959517\pi\) |
0.386118 | − | 0.922450i | \(-0.373816\pi\) | |||||||
\(90\) | −2.63435 | + | 1.17289i | −0.277685 | + | 0.123633i | ||||
\(91\) | 7.80437 | − | 1.65887i | 0.818120 | − | 0.173897i | ||||
\(92\) | −2.74279 | − | 0.582998i | −0.285956 | − | 0.0607817i | ||||
\(93\) | −0.291467 | − | 2.77312i | −0.0302237 | − | 0.287559i | ||||
\(94\) | 9.93756 | − | 7.22006i | 1.02498 | − | 0.744692i | ||||
\(95\) | −1.79090 | + | 5.08854i | −0.183743 | + | 0.522073i | ||||
\(96\) | −0.252928 | + | 0.778431i | −0.0258143 | + | 0.0794483i | ||||
\(97\) | −13.3665 | + | 5.95114i | −1.35716 | + | 0.604246i | −0.950896 | − | 0.309510i | \(-0.899835\pi\) |
−0.406263 | + | 0.913756i | \(0.633168\pi\) | |||||||
\(98\) | −0.257028 | + | 0.445185i | −0.0259637 | + | 0.0449705i | ||||
\(99\) | 0.0637084 | − | 7.72772i | 0.00640294 | − | 0.776665i | ||||
\(100\) | 1.73420 | − | 3.00371i | 0.173420 | − | 0.300371i | ||||
\(101\) | −1.08308 | + | 10.3048i | −0.107771 | + | 1.02537i | 0.798305 | + | 0.602254i | \(0.205731\pi\) |
−0.906075 | + | 0.423116i | \(0.860936\pi\) | |||||||
\(102\) | −0.402429 | + | 1.23855i | −0.0398464 | + | 0.122635i | ||||
\(103\) | 0.608066 | + | 1.87143i | 0.0599145 | + | 0.184398i | 0.976534 | − | 0.215363i | \(-0.0690933\pi\) |
−0.916620 | + | 0.399760i | \(0.869093\pi\) | |||||||
\(104\) | −2.65905 | − | 1.18389i | −0.260741 | − | 0.116090i | ||||
\(105\) | −2.53662 | − | 1.12938i | −0.247549 | − | 0.110216i | ||||
\(106\) | 1.59104 | + | 4.89672i | 0.154535 | + | 0.475611i | ||||
\(107\) | −2.69959 | + | 8.30849i | −0.260979 | + | 0.803212i | 0.731613 | + | 0.681720i | \(0.238768\pi\) |
−0.992592 | + | 0.121492i | \(0.961232\pi\) | |||||||
\(108\) | −0.456017 | + | 4.33872i | −0.0438803 | + | 0.417493i | ||||
\(109\) | −2.15990 | + | 3.74105i | −0.206881 | + | 0.358328i | −0.950730 | − | 0.310019i | \(-0.899665\pi\) |
0.743850 | + | 0.668347i | \(0.232998\pi\) | |||||||
\(110\) | −2.38516 | − | 3.34046i | −0.227416 | − | 0.318501i | ||||
\(111\) | 2.83207 | − | 4.90529i | 0.268808 | − | 0.465590i | ||||
\(112\) | 2.50419 | − | 1.11494i | 0.236624 | − | 0.105352i | ||||
\(113\) | −0.691284 | + | 2.12755i | −0.0650305 | + | 0.200143i | −0.978292 | − | 0.207230i | \(-0.933555\pi\) |
0.913262 | + | 0.407373i | \(0.133555\pi\) | |||||||
\(114\) | 2.32228 | + | 2.70844i | 0.217501 | + | 0.253668i | ||||
\(115\) | −2.80750 | + | 2.03977i | −0.261801 | + | 0.190209i | ||||
\(116\) | 0.478981 | + | 4.55720i | 0.0444723 | + | 0.423125i | ||||
\(117\) | −6.63392 | − | 1.41008i | −0.613306 | − | 0.130362i | ||||
\(118\) | 11.7397 | − | 2.49534i | 1.08072 | − | 0.229715i | ||||
\(119\) | 3.98437 | − | 1.77396i | 0.365247 | − | 0.162618i | ||||
\(120\) | 0.506475 | + | 0.877240i | 0.0462346 | + | 0.0800807i | ||||
\(121\) | 10.7959 | − | 2.10932i | 0.981443 | − | 0.191757i | ||||
\(122\) | 1.18002 | 0.106834 | ||||||||
\(123\) | −0.209183 | + | 1.99024i | −0.0188614 | + | 0.179454i | ||||
\(124\) | 3.33231 | − | 0.708304i | 0.299250 | − | 0.0636076i | ||||
\(125\) | −3.23860 | − | 9.96739i | −0.289669 | − | 0.891510i | ||||
\(126\) | 5.16731 | − | 3.75427i | 0.460340 | − | 0.334457i | ||||
\(127\) | 1.06961 | + | 0.476221i | 0.0949125 | + | 0.0422578i | 0.453644 | − | 0.891183i | \(-0.350124\pi\) |
−0.358731 | + | 0.933441i | \(0.616791\pi\) | |||||||
\(128\) | −0.978148 | − | 0.207912i | −0.0864569 | − | 0.0183770i | ||||
\(129\) | 9.36279 | − | 1.99012i | 0.824348 | − | 0.175221i | ||||
\(130\) | −3.29079 | + | 1.46516i | −0.288622 | + | 0.128503i | ||||
\(131\) | −2.25546 | + | 3.90656i | −0.197060 | + | 0.341318i | −0.947574 | − | 0.319537i | \(-0.896473\pi\) |
0.750514 | + | 0.660855i | \(0.229806\pi\) | |||||||
\(132\) | −2.70200 | + | 0.261490i | −0.235179 | + | 0.0227598i | ||||
\(133\) | 1.53673 | − | 11.8493i | 0.133251 | − | 1.02746i | ||||
\(134\) | 8.56133 | + | 6.22017i | 0.739587 | + | 0.537341i | ||||
\(135\) | 3.61270 | + | 4.01231i | 0.310932 | + | 0.345325i | ||||
\(136\) | −1.55631 | − | 0.330805i | −0.133453 | − | 0.0283663i | ||||
\(137\) | 2.96270 | + | 1.31908i | 0.253120 | + | 0.112696i | 0.529375 | − | 0.848388i | \(-0.322427\pi\) |
−0.276255 | + | 0.961085i | \(0.589093\pi\) | |||||||
\(138\) | 0.239903 | + | 2.28253i | 0.0204219 | + | 0.194302i | ||||
\(139\) | −3.10644 | + | 3.45005i | −0.263484 | + | 0.292629i | −0.860341 | − | 0.509719i | \(-0.829749\pi\) |
0.596857 | + | 0.802348i | \(0.296416\pi\) | |||||||
\(140\) | 1.04832 | − | 3.22640i | 0.0885992 | − | 0.272680i | ||||
\(141\) | −8.13380 | − | 5.90955i | −0.684989 | − | 0.497674i | ||||
\(142\) | 2.49532 | + | 4.32203i | 0.209403 | + | 0.362697i | ||||
\(143\) | 0.0795836 | − | 9.65335i | 0.00665512 | − | 0.807253i | ||||
\(144\) | −2.33007 | −0.194173 | ||||||||
\(145\) | 4.58792 | + | 3.33332i | 0.381006 | + | 0.276817i | ||||
\(146\) | −14.7336 | + | 3.13173i | −1.21936 | + | 0.259184i | ||||
\(147\) | 0.411555 | + | 0.0874788i | 0.0339445 | + | 0.00721513i | ||||
\(148\) | 6.32195 | + | 2.81471i | 0.519661 | + | 0.231368i | ||||
\(149\) | −0.435526 | − | 4.14375i | −0.0356797 | − | 0.339469i | −0.997770 | − | 0.0667398i | \(-0.978740\pi\) |
0.962091 | − | 0.272730i | \(-0.0879264\pi\) | |||||||
\(150\) | −2.77681 | − | 0.590229i | −0.226726 | − | 0.0481920i | ||||
\(151\) | 6.16542 | − | 18.9752i | 0.501735 | − | 1.54418i | −0.304457 | − | 0.952526i | \(-0.598475\pi\) |
0.806192 | − | 0.591654i | \(-0.201525\pi\) | |||||||
\(152\) | −2.99436 | + | 3.16762i | −0.242875 | + | 0.256928i | ||||
\(153\) | −3.70734 | −0.299721 | ||||||||
\(154\) | 6.70589 | + | 6.13886i | 0.540376 | + | 0.494684i | ||||
\(155\) | 2.10807 | − | 3.65128i | 0.169324 | − | 0.293278i | ||||
\(156\) | −0.249026 | + | 2.36932i | −0.0199380 | + | 0.189698i | ||||
\(157\) | 0.427447 | + | 0.474728i | 0.0341140 | + | 0.0378874i | 0.759960 | − | 0.649969i | \(-0.225218\pi\) |
−0.725846 | + | 0.687857i | \(0.758552\pi\) | |||||||
\(158\) | −4.04223 | + | 4.48935i | −0.321583 | + | 0.357154i | ||||
\(159\) | 3.40934 | − | 2.47703i | 0.270378 | − | 0.196441i | ||||
\(160\) | −1.00123 | + | 0.727433i | −0.0791538 | + | 0.0575086i | ||||
\(161\) | 5.14323 | − | 5.71214i | 0.405343 | − | 0.450180i | ||||
\(162\) | −3.34474 | + | 0.710946i | −0.262787 | + | 0.0558572i | ||||
\(163\) | −19.1419 | − | 13.9074i | −1.49931 | − | 1.08931i | −0.970655 | − | 0.240474i | \(-0.922697\pi\) |
−0.528654 | − | 0.848838i | \(-0.677303\pi\) | |||||||
\(164\) | −2.44499 | −0.190922 | ||||||||
\(165\) | −1.99705 | + | 2.70158i | −0.155470 | + | 0.210318i | ||||
\(166\) | 3.65456 | − | 6.32988i | 0.283649 | − | 0.491294i | ||||
\(167\) | 0.700016 | − | 6.66021i | 0.0541689 | − | 0.515382i | −0.933472 | − | 0.358650i | \(-0.883237\pi\) |
0.987641 | − | 0.156733i | \(-0.0500961\pi\) | |||||||
\(168\) | −1.50128 | − | 1.66734i | −0.115826 | − | 0.128638i | ||||
\(169\) | 4.42892 | + | 0.941397i | 0.340686 | + | 0.0724151i | ||||
\(170\) | −1.59303 | + | 1.15741i | −0.122180 | + | 0.0887690i | ||||
\(171\) | −5.29006 | + | 8.67011i | −0.404541 | + | 0.663020i | ||||
\(172\) | 3.61385 | + | 11.1223i | 0.275553 | + | 0.848066i | ||||
\(173\) | 16.0506 | + | 17.8260i | 1.22030 | + | 1.35528i | 0.915219 | + | 0.402956i | \(0.132017\pi\) |
0.305082 | + | 0.952326i | \(0.401316\pi\) | |||||||
\(174\) | 3.42632 | − | 1.52549i | 0.259748 | − | 0.115647i | ||||
\(175\) | 4.75374 | + | 8.23371i | 0.359349 | + | 0.622410i | ||||
\(176\) | −0.662797 | − | 3.24972i | −0.0499602 | − | 0.244957i | ||||
\(177\) | −4.91174 | − | 8.50738i | −0.369189 | − | 0.639454i | ||||
\(178\) | −9.24733 | − | 6.71858i | −0.693116 | − | 0.503579i | ||||
\(179\) | 0.173714 | − | 0.534637i | 0.0129840 | − | 0.0399607i | −0.944355 | − | 0.328929i | \(-0.893312\pi\) |
0.957339 | + | 0.288968i | \(0.0933123\pi\) | |||||||
\(180\) | −1.92954 | + | 2.14297i | −0.143820 | + | 0.159728i | ||||
\(181\) | −21.8123 | − | 9.71147i | −1.62130 | − | 0.721848i | −0.623115 | − | 0.782130i | \(-0.714133\pi\) |
−0.998181 | + | 0.0602822i | \(0.980800\pi\) | |||||||
\(182\) | 6.45492 | − | 4.68978i | 0.478471 | − | 0.347629i | ||||
\(183\) | −0.298458 | − | 0.918560i | −0.0220627 | − | 0.0679019i | ||||
\(184\) | −2.74279 | + | 0.582998i | −0.202201 | + | 0.0429792i | ||||
\(185\) | 7.82393 | − | 3.48344i | 0.575227 | − | 0.256107i | ||||
\(186\) | −1.39420 | − | 2.41482i | −0.102228 | − | 0.177063i | ||||
\(187\) | −1.05457 | − | 5.17058i | −0.0771175 | − | 0.378110i | ||||
\(188\) | 6.14175 | − | 10.6378i | 0.447933 | − | 0.775843i | ||||
\(189\) | −9.67479 | − | 7.02915i | −0.703738 | − | 0.511295i | ||||
\(190\) | 0.433625 | + | 5.37704i | 0.0314585 | + | 0.390091i | ||||
\(191\) | 5.44211 | + | 16.7491i | 0.393777 | + | 1.21192i | 0.929910 | + | 0.367788i | \(0.119885\pi\) |
−0.536132 | + | 0.844134i | \(0.680115\pi\) | |||||||
\(192\) | 0.0855556 | + | 0.814007i | 0.00617444 | + | 0.0587459i | ||||
\(193\) | −1.25976 | − | 11.9858i | −0.0906794 | − | 0.862756i | −0.941435 | − | 0.337195i | \(-0.890522\pi\) |
0.850756 | − | 0.525562i | \(-0.176145\pi\) | |||||||
\(194\) | −9.79033 | + | 10.8733i | −0.702905 | + | 0.780655i | ||||
\(195\) | 1.97285 | + | 2.19108i | 0.141279 | + | 0.156906i | ||||
\(196\) | −0.0537334 | + | 0.511239i | −0.00383810 | + | 0.0365171i | ||||
\(197\) | 6.60091 | 0.470296 | 0.235148 | − | 0.971960i | \(-0.424443\pi\) | ||||
0.235148 | + | 0.971960i | \(0.424443\pi\) | |||||||
\(198\) | −3.08494 | − | 7.08553i | −0.219237 | − | 0.503547i | ||||
\(199\) | −9.37861 | − | 16.2442i | −0.664832 | − | 1.15152i | −0.979331 | − | 0.202265i | \(-0.935170\pi\) |
0.314499 | − | 0.949258i | \(-0.398164\pi\) | |||||||
\(200\) | 0.362546 | − | 3.44939i | 0.0256358 | − | 0.243909i | ||||
\(201\) | 2.67658 | − | 8.23766i | 0.188791 | − | 0.581040i | ||||
\(202\) | 3.20191 | + | 9.85447i | 0.225286 | + | 0.693358i | ||||
\(203\) | −11.4750 | − | 5.10898i | −0.805384 | − | 0.358580i | ||||
\(204\) | 0.136126 | + | 1.29515i | 0.00953073 | + | 0.0906788i | ||||
\(205\) | −2.02471 | + | 2.24867i | −0.141412 | + | 0.157054i | ||||
\(206\) | 1.31668 | + | 1.46232i | 0.0917372 | + | 0.101884i | ||||
\(207\) | −5.96881 | + | 2.65749i | −0.414861 | + | 0.184708i | ||||
\(208\) | −2.91069 | −0.201820 | ||||||||
\(209\) | −13.5969 | − | 4.91174i | −0.940515 | − | 0.339752i | ||||
\(210\) | −2.77667 | −0.191609 | ||||||||
\(211\) | 9.60401 | − | 4.27598i | 0.661168 | − | 0.294371i | −0.0485879 | − | 0.998819i | \(-0.515472\pi\) |
0.709755 | + | 0.704448i | \(0.248805\pi\) | |||||||
\(212\) | 3.44516 | + | 3.82624i | 0.236615 | + | 0.262787i | ||||
\(213\) | 2.73326 | − | 3.03560i | 0.187280 | − | 0.207996i | ||||
\(214\) | 0.913167 | + | 8.68820i | 0.0624228 | + | 0.593913i | ||||
\(215\) | 13.2218 | + | 5.88674i | 0.901721 | + | 0.401472i | ||||
\(216\) | 1.34812 | + | 4.14909i | 0.0917281 | + | 0.282310i | ||||
\(217\) | −2.88576 | + | 8.88146i | −0.195898 | + | 0.602913i | ||||
\(218\) | −0.451541 | + | 4.29613i | −0.0305822 | + | 0.290971i | ||||
\(219\) | 6.16437 | + | 10.6770i | 0.416549 | + | 0.721485i | ||||
\(220\) | −3.53764 | − | 2.08153i | −0.238508 | − | 0.140337i | ||||
\(221\) | −4.63115 | −0.311525 | ||||||||
\(222\) | 0.592064 | − | 5.63312i | 0.0397368 | − | 0.378070i | ||||
\(223\) | 18.1174 | + | 20.1215i | 1.21323 | + | 1.34743i | 0.920258 | + | 0.391313i | \(0.127979\pi\) |
0.292976 | + | 0.956120i | \(0.405354\pi\) | |||||||
\(224\) | 1.83421 | − | 2.03709i | 0.122553 | − | 0.136109i | ||||
\(225\) | −0.844758 | − | 8.03733i | −0.0563172 | − | 0.535822i | ||||
\(226\) | 0.233834 | + | 2.22479i | 0.0155544 | + | 0.147991i | ||||
\(227\) | −1.49457 | − | 4.59982i | −0.0991982 | − | 0.305301i | 0.889127 | − | 0.457661i | \(-0.151313\pi\) |
−0.988325 | + | 0.152360i | \(0.951313\pi\) | |||||||
\(228\) | 3.22313 | + | 1.52972i | 0.213457 | + | 0.101308i | ||||
\(229\) | 3.49476 | + | 2.53909i | 0.230940 | + | 0.167788i | 0.697238 | − | 0.716840i | \(-0.254412\pi\) |
−0.466297 | + | 0.884628i | \(0.654412\pi\) | |||||||
\(230\) | −1.73513 | + | 3.00533i | −0.114411 | + | 0.198166i | ||||
\(231\) | 3.08258 | − | 6.77276i | 0.202819 | − | 0.445615i | ||||
\(232\) | 2.29115 | + | 3.96839i | 0.150421 | + | 0.260538i | ||||
\(233\) | 15.8641 | − | 7.06314i | 1.03929 | − | 0.462722i | 0.185120 | − | 0.982716i | \(-0.440733\pi\) |
0.854170 | + | 0.519994i | \(0.174066\pi\) | |||||||
\(234\) | −6.63392 | + | 1.41008i | −0.433673 | + | 0.0921800i | ||||
\(235\) | −4.69763 | − | 14.4578i | −0.306439 | − | 0.943123i | ||||
\(236\) | 9.70978 | − | 7.05456i | 0.632053 | − | 0.459213i | ||||
\(237\) | 4.51704 | + | 2.01112i | 0.293413 | + | 0.130636i | ||||
\(238\) | 2.91837 | − | 3.24118i | 0.189170 | − | 0.210095i | ||||
\(239\) | −3.93745 | + | 12.1182i | −0.254692 | + | 0.783862i | 0.739198 | + | 0.673488i | \(0.235205\pi\) |
−0.993890 | + | 0.110374i | \(0.964795\pi\) | |||||||
\(240\) | 0.819493 | + | 0.595397i | 0.0528981 | + | 0.0384327i | ||||
\(241\) | −0.328002 | − | 0.568116i | −0.0211285 | − | 0.0365956i | 0.855268 | − | 0.518186i | \(-0.173393\pi\) |
−0.876396 | + | 0.481591i | \(0.840059\pi\) | |||||||
\(242\) | 9.00458 | − | 6.31804i | 0.578836 | − | 0.406139i | ||||
\(243\) | 7.94332 | + | 13.7582i | 0.509564 | + | 0.882591i | ||||
\(244\) | 1.07800 | − | 0.479955i | 0.0690117 | − | 0.0307260i | ||||
\(245\) | 0.425691 | + | 0.472778i | 0.0271964 | + | 0.0302047i | ||||
\(246\) | 0.618406 | + | 1.90326i | 0.0394281 | + | 0.121347i | ||||
\(247\) | −6.60827 | + | 10.8306i | −0.420474 | + | 0.689133i | ||||
\(248\) | 2.75612 | − | 2.00244i | 0.175014 | − | 0.127155i | ||||
\(249\) | −5.85172 | − | 1.24382i | −0.370837 | − | 0.0788239i | ||||
\(250\) | −7.01271 | − | 7.78840i | −0.443523 | − | 0.492582i | ||||
\(251\) | 0.725861 | − | 6.90611i | 0.0458159 | − | 0.435910i | −0.947437 | − | 0.319942i | \(-0.896337\pi\) |
0.993253 | − | 0.115967i | \(-0.0369968\pi\) | |||||||
\(252\) | 3.19357 | − | 5.53143i | 0.201176 | − | 0.348447i | ||||
\(253\) | −5.40421 | − | 7.56869i | −0.339760 | − | 0.475840i | ||||
\(254\) | 1.17083 | 0.0734646 | ||||||||
\(255\) | 1.30388 | + | 0.947326i | 0.0816522 | + | 0.0593238i | ||||
\(256\) | −0.978148 | + | 0.207912i | −0.0611342 | + | 0.0129945i | ||||
\(257\) | 4.51474 | − | 5.01412i | 0.281622 | − | 0.312772i | −0.585693 | − | 0.810533i | \(-0.699178\pi\) |
0.867314 | + | 0.497761i | \(0.165844\pi\) | |||||||
\(258\) | 7.74388 | − | 5.62626i | 0.482113 | − | 0.350276i | ||||
\(259\) | −15.3467 | + | 11.1500i | −0.953598 | + | 0.692830i | ||||
\(260\) | −2.41036 | + | 2.67697i | −0.149484 | + | 0.166019i | ||||
\(261\) | 7.14437 | + | 7.93463i | 0.442226 | + | 0.491141i | ||||
\(262\) | −0.471519 | + | 4.48620i | −0.0291305 | + | 0.277158i | ||||
\(263\) | 10.7849 | − | 18.6800i | 0.665027 | − | 1.15186i | −0.314251 | − | 0.949340i | \(-0.601753\pi\) |
0.979278 | − | 0.202521i | \(-0.0649134\pi\) | |||||||
\(264\) | −2.36204 | + | 1.33789i | −0.145374 | + | 0.0823412i | ||||
\(265\) | 6.37196 | 0.391426 | ||||||||
\(266\) | −3.41567 | − | 11.4499i | −0.209428 | − | 0.702039i | ||||
\(267\) | −2.89104 | + | 8.89772i | −0.176929 | + | 0.544531i | ||||
\(268\) | 10.3511 | + | 2.20020i | 0.632297 | + | 0.134399i | ||||
\(269\) | −3.08214 | − | 29.3246i | −0.187921 | − | 1.78795i | −0.529715 | − | 0.848176i | \(-0.677701\pi\) |
0.341794 | − | 0.939775i | \(-0.388966\pi\) | |||||||
\(270\) | 4.93232 | + | 2.19601i | 0.300171 | + | 0.133645i | ||||
\(271\) | −17.9227 | − | 3.80958i | −1.08873 | − | 0.231416i | −0.371623 | − | 0.928384i | \(-0.621199\pi\) |
−0.717102 | + | 0.696968i | \(0.754532\pi\) | |||||||
\(272\) | −1.55631 | + | 0.330805i | −0.0943654 | + | 0.0200580i | ||||
\(273\) | −5.28330 | − | 3.83854i | −0.319760 | − | 0.232319i | ||||
\(274\) | 3.24307 | 0.195921 | ||||||||
\(275\) | 10.9693 | − | 3.46442i | 0.661472 | − | 0.208912i | ||||
\(276\) | 1.14755 | + | 1.98762i | 0.0690744 | + | 0.119640i | ||||
\(277\) | −2.16483 | − | 1.57284i | −0.130072 | − | 0.0945031i | 0.520847 | − | 0.853650i | \(-0.325616\pi\) |
−0.650919 | + | 0.759147i | \(0.725616\pi\) | |||||||
\(278\) | −1.43461 | + | 4.41528i | −0.0860422 | + | 0.264811i | ||||
\(279\) | 5.31155 | − | 5.89908i | 0.317994 | − | 0.353168i | ||||
\(280\) | −0.354606 | − | 3.37385i | −0.0211917 | − | 0.201626i | ||||
\(281\) | −18.1942 | − | 8.10058i | −1.08537 | − | 0.483240i | −0.215495 | − | 0.976505i | \(-0.569137\pi\) |
−0.869879 | + | 0.493265i | \(0.835803\pi\) | |||||||
\(282\) | −9.83422 | − | 2.09033i | −0.585620 | − | 0.124477i | ||||
\(283\) | −12.1499 | − | 13.4939i | −0.722239 | − | 0.802127i | 0.264510 | − | 0.964383i | \(-0.414790\pi\) |
−0.986749 | + | 0.162255i | \(0.948123\pi\) | |||||||
\(284\) | 4.03752 | + | 2.93343i | 0.239583 | + | 0.174067i | ||||
\(285\) | 4.07598 | − | 1.69755i | 0.241440 | − | 0.100554i | ||||
\(286\) | −3.85367 | − | 8.85114i | −0.227872 | − | 0.523379i | ||||
\(287\) | 3.35108 | − | 5.80424i | 0.197808 | − | 0.342614i | ||||
\(288\) | −2.12863 | + | 0.947726i | −0.125431 | + | 0.0558453i | ||||
\(289\) | 14.1523 | − | 3.00816i | 0.832487 | − | 0.176951i | ||||
\(290\) | 5.54705 | + | 1.17906i | 0.325734 | + | 0.0692369i | ||||
\(291\) | 10.9403 | + | 4.87095i | 0.641334 | + | 0.285540i | ||||
\(292\) | −12.1860 | + | 8.85368i | −0.713134 | + | 0.518122i | ||||
\(293\) | 3.73996 | + | 11.5104i | 0.218491 | + | 0.672445i | 0.998887 | + | 0.0471601i | \(0.0150171\pi\) |
−0.780397 | + | 0.625285i | \(0.784983\pi\) | |||||||
\(294\) | 0.411555 | − | 0.0874788i | 0.0240024 | − | 0.00510186i | ||||
\(295\) | 1.55260 | − | 14.7720i | 0.0903960 | − | 0.860060i | ||||
\(296\) | 6.92023 | 0.402230 | ||||||||
\(297\) | −10.8321 | + | 9.59278i | −0.628544 | + | 0.556630i | ||||
\(298\) | −2.08329 | − | 3.60836i | −0.120682 | − | 0.209027i | ||||
\(299\) | −7.45615 | + | 3.31969i | −0.431200 | + | 0.191983i | ||||
\(300\) | −2.77681 | + | 0.590229i | −0.160319 | + | 0.0340769i | ||||
\(301\) | −31.3566 | − | 6.66505i | −1.80736 | − | 0.384167i | ||||
\(302\) | −2.08552 | − | 19.8424i | −0.120008 | − | 1.14180i | ||||
\(303\) | 6.86117 | − | 4.98494i | 0.394164 | − | 0.286377i | ||||
\(304\) | −1.44710 | + | 4.11168i | −0.0829968 | + | 0.235821i | ||||
\(305\) | 0.451278 | − | 1.38889i | 0.0258401 | − | 0.0795276i | ||||
\(306\) | −3.38682 | + | 1.50791i | −0.193612 | + | 0.0862015i | ||||
\(307\) | −11.9925 | + | 20.7717i | −0.684451 | + | 1.18550i | 0.289158 | + | 0.957281i | \(0.406625\pi\) |
−0.973609 | + | 0.228222i | \(0.926709\pi\) | |||||||
\(308\) | 8.62304 | + | 2.88060i | 0.491343 | + | 0.164137i | ||||
\(309\) | 0.805289 | − | 1.39480i | 0.0458113 | − | 0.0793475i | ||||
\(310\) | 0.440707 | − | 4.19304i | 0.0250305 | − | 0.238149i | ||||
\(311\) | 7.38771 | − | 22.7370i | 0.418919 | − | 1.28930i | −0.489779 | − | 0.871846i | \(-0.662923\pi\) |
0.908698 | − | 0.417453i | \(-0.137077\pi\) | |||||||
\(312\) | 0.736194 | + | 2.26577i | 0.0416788 | + | 0.128274i | ||||
\(313\) | 7.96113 | + | 3.54452i | 0.449990 | + | 0.200348i | 0.619203 | − | 0.785231i | \(-0.287456\pi\) |
−0.169213 | + | 0.985580i | \(0.554123\pi\) | |||||||
\(314\) | 0.583581 | + | 0.259827i | 0.0329334 | + | 0.0146629i | ||||
\(315\) | −2.44266 | − | 7.51774i | −0.137628 | − | 0.423577i | ||||
\(316\) | −1.86678 | + | 5.74535i | −0.105014 | + | 0.323201i | ||||
\(317\) | −1.40750 | + | 13.3914i | −0.0790529 | + | 0.752138i | 0.881150 | + | 0.472836i | \(0.156770\pi\) |
−0.960203 | + | 0.279302i | \(0.909897\pi\) | |||||||
\(318\) | 2.10709 | − | 3.64958i | 0.118160 | − | 0.204658i | ||||
\(319\) | −9.03408 | + | 12.2212i | −0.505812 | + | 0.684256i | ||||
\(320\) | −0.618791 | + | 1.07178i | −0.0345915 | + | 0.0599142i | ||||
\(321\) | 6.53220 | − | 2.90832i | 0.364592 | − | 0.162327i | ||||
\(322\) | 2.37524 | − | 7.31024i | 0.132367 | − | 0.407384i | ||||
\(323\) | −2.30245 | + | 6.54202i | −0.128112 | + | 0.364008i | ||||
\(324\) | −2.76640 | + | 2.00991i | −0.153689 | + | 0.111662i | ||||
\(325\) | −1.05526 | − | 10.0401i | −0.0585352 | − | 0.556925i | ||||
\(326\) | −23.1436 | − | 4.91933i | −1.28181 | − | 0.272457i | ||||
\(327\) | 3.45845 | − | 0.735116i | 0.191253 | − | 0.0406520i | ||||
\(328\) | −2.23361 | + | 0.994469i | −0.123331 | + | 0.0549103i | ||||
\(329\) | 16.8356 | + | 29.1602i | 0.928178 | + | 1.60765i | ||||
\(330\) | −0.725561 | + | 3.28029i | −0.0399408 | + | 0.180574i | ||||
\(331\) | −10.8089 | −0.594112 | −0.297056 | − | 0.954860i | \(-0.596005\pi\) | ||||
−0.297056 | + | 0.954860i | \(0.596005\pi\) | |||||||
\(332\) | 0.764011 | − | 7.26908i | 0.0419306 | − | 0.398943i | ||||
\(333\) | 15.7723 | − | 3.35250i | 0.864316 | − | 0.183716i | ||||
\(334\) | −2.06945 | − | 6.36912i | −0.113235 | − | 0.348503i | ||||
\(335\) | 10.5954 | − | 7.69798i | 0.578886 | − | 0.420585i | ||||
\(336\) | −2.04966 | − | 0.912566i | −0.111818 | − | 0.0497845i | ||||
\(337\) | 1.12219 | + | 0.238530i | 0.0611298 | + | 0.0129935i | 0.238375 | − | 0.971173i | \(-0.423385\pi\) |
−0.177245 | + | 0.984167i | \(0.556719\pi\) | |||||||
\(338\) | 4.42892 | − | 0.941397i | 0.240902 | − | 0.0512052i | ||||
\(339\) | 1.67270 | − | 0.744734i | 0.0908485 | − | 0.0404484i | ||||
\(340\) | −0.984548 | + | 1.70529i | −0.0533946 | + | 0.0924822i | ||||
\(341\) | 9.73825 | + | 5.72994i | 0.527356 | + | 0.310294i | ||||
\(342\) | −1.30626 | + | 10.0722i | −0.0706345 | + | 0.544642i | ||||
\(343\) | 14.3836 | + | 10.4503i | 0.776642 | + | 0.564264i | ||||
\(344\) | 7.82525 | + | 8.69082i | 0.421909 | + | 0.468578i | ||||
\(345\) | 2.77831 | + | 0.590547i | 0.149579 | + | 0.0317940i | ||||
\(346\) | 21.9134 | + | 9.75647i | 1.17807 | + | 0.524511i | ||||
\(347\) | 3.62938 | + | 34.5312i | 0.194835 | + | 1.85373i | 0.457962 | + | 0.888972i | \(0.348580\pi\) |
−0.263127 | + | 0.964761i | \(0.584754\pi\) | |||||||
\(348\) | 2.50962 | − | 2.78722i | 0.134530 | − | 0.149411i | ||||
\(349\) | 6.74519 | − | 20.7596i | 0.361062 | − | 1.11123i | −0.591349 | − | 0.806416i | \(-0.701404\pi\) |
0.952411 | − | 0.304818i | \(-0.0985957\pi\) | |||||||
\(350\) | 7.69171 | + | 5.58835i | 0.411139 | + | 0.298710i | ||||
\(351\) | 6.34912 | + | 10.9970i | 0.338891 | + | 0.586976i | ||||
\(352\) | −1.92728 | − | 2.69919i | −0.102724 | − | 0.143867i | ||||
\(353\) | 0.963911 | 0.0513038 | 0.0256519 | − | 0.999671i | \(-0.491834\pi\) | ||||
0.0256519 | + | 0.999671i | \(0.491834\pi\) | |||||||
\(354\) | −7.94736 | − | 5.77409i | −0.422397 | − | 0.306890i | ||||
\(355\) | 6.04137 | − | 1.28413i | 0.320643 | − | 0.0681547i | ||||
\(356\) | −11.1805 | − | 2.37650i | −0.592568 | − | 0.125954i | ||||
\(357\) | −3.26117 | − | 1.45197i | −0.172600 | − | 0.0768463i | ||||
\(358\) | −0.0587608 | − | 0.559071i | −0.00310560 | − | 0.0295478i | ||||
\(359\) | 0.454674 | + | 0.0966440i | 0.0239968 | + | 0.00510067i | 0.219894 | − | 0.975524i | \(-0.429429\pi\) |
−0.195898 | + | 0.980624i | \(0.562762\pi\) | |||||||
\(360\) | −0.891099 | + | 2.74252i | −0.0469650 | + | 0.144544i | ||||
\(361\) | 12.0140 | + | 14.7195i | 0.632315 | + | 0.774711i | ||||
\(362\) | −23.8766 | −1.25492 | ||||||||
\(363\) | −7.19566 | − | 5.41144i | −0.377674 | − | 0.284027i | ||||
\(364\) | 3.98936 | − | 6.90978i | 0.209099 | − | 0.362171i | ||||
\(365\) | −1.94856 | + | 18.5393i | −0.101992 | + | 0.970391i | ||||
\(366\) | −0.646267 | − | 0.717753i | −0.0337809 | − | 0.0375175i | ||||
\(367\) | −4.25898 | + | 4.73008i | −0.222317 | + | 0.246908i | −0.843977 | − | 0.536379i | \(-0.819792\pi\) |
0.621660 | + | 0.783287i | \(0.286458\pi\) | |||||||
\(368\) | −2.26854 | + | 1.64819i | −0.118256 | + | 0.0859177i | ||||
\(369\) | −4.60898 | + | 3.34862i | −0.239934 | + | 0.174322i | ||||
\(370\) | 5.73067 | − | 6.36456i | 0.297923 | − | 0.330878i | ||||
\(371\) | −13.8051 | + | 2.93437i | −0.716726 | + | 0.152345i | ||||
\(372\) | −2.25586 | − | 1.63898i | −0.116961 | − | 0.0849771i | ||||
\(373\) | −3.35341 | −0.173633 | −0.0868166 | − | 0.996224i | \(-0.527669\pi\) | ||||
−0.0868166 | + | 0.996224i | \(0.527669\pi\) | |||||||
\(374\) | −3.06646 | − | 4.29463i | −0.158563 | − | 0.222070i | ||||
\(375\) | −4.28903 | + | 7.42881i | −0.221484 | + | 0.383622i | ||||
\(376\) | 1.28398 | − | 12.2162i | 0.0662160 | − | 0.630003i | ||||
\(377\) | 8.92464 | + | 9.91182i | 0.459643 | + | 0.510485i | ||||
\(378\) | −11.6974 | − | 2.48635i | −0.601648 | − | 0.127884i | ||||
\(379\) | −28.2848 | + | 20.5501i | −1.45289 | + | 1.05559i | −0.467750 | + | 0.883861i | \(0.654935\pi\) |
−0.985144 | + | 0.171728i | \(0.945065\pi\) | |||||||
\(380\) | 2.58318 | + | 4.73580i | 0.132514 | + | 0.242941i | ||||
\(381\) | −0.296136 | − | 0.911413i | −0.0151715 | − | 0.0466931i | ||||
\(382\) | 11.7841 | + | 13.0876i | 0.602926 | + | 0.669618i | ||||
\(383\) | 8.00682 | − | 3.56486i | 0.409129 | − | 0.182156i | −0.191844 | − | 0.981425i | \(-0.561447\pi\) |
0.600973 | + | 0.799269i | \(0.294780\pi\) | |||||||
\(384\) | 0.409245 | + | 0.708834i | 0.0208842 | + | 0.0361725i | ||||
\(385\) | 9.79007 | − | 5.54519i | 0.498948 | − | 0.282609i | ||||
\(386\) | −6.02591 | − | 10.4372i | −0.306711 | − | 0.531238i | ||||
\(387\) | 22.0452 | + | 16.0168i | 1.12062 | + | 0.814179i | ||||
\(388\) | −4.52136 | + | 13.9153i | −0.229537 | + | 0.706443i | ||||
\(389\) | 0.839054 | − | 0.931864i | 0.0425417 | − | 0.0472474i | −0.721498 | − | 0.692416i | \(-0.756546\pi\) |
0.764040 | + | 0.645169i | \(0.223213\pi\) | |||||||
\(390\) | 2.69348 | + | 1.19922i | 0.136390 | + | 0.0607247i | ||||
\(391\) | −3.60943 | + | 2.62240i | −0.182537 | + | 0.132621i | ||||
\(392\) | 0.158852 | + | 0.488896i | 0.00802323 | + | 0.0246930i | ||||
\(393\) | 3.61146 | − | 0.767639i | 0.182174 | − | 0.0387223i | ||||
\(394\) | 6.03024 | − | 2.68483i | 0.303799 | − | 0.135260i | ||||
\(395\) | 3.73813 | + | 6.47463i | 0.188086 | + | 0.325774i | ||||
\(396\) | −5.70018 | − | 5.21820i | −0.286445 | − | 0.262224i | ||||
\(397\) | −5.03473 | + | 8.72042i | −0.252686 | + | 0.437665i | −0.964264 | − | 0.264942i | \(-0.914647\pi\) |
0.711578 | + | 0.702607i | \(0.247981\pi\) | |||||||
\(398\) | −15.1749 | − | 11.0252i | −0.760649 | − | 0.552644i | ||||
\(399\) | −8.04904 | + | 5.55486i | −0.402956 | + | 0.278091i | ||||
\(400\) | −1.07179 | − | 3.29864i | −0.0535896 | − | 0.164932i | ||||
\(401\) | 0.544993 | + | 5.18527i | 0.0272157 | + | 0.258940i | 0.999666 | + | 0.0258310i | \(0.00822317\pi\) |
−0.972451 | + | 0.233109i | \(0.925110\pi\) | |||||||
\(402\) | −0.905382 | − | 8.61414i | −0.0451564 | − | 0.429634i | ||||
\(403\) | 6.63511 | − | 7.36904i | 0.330518 | − | 0.367078i | ||||
\(404\) | 6.93327 | + | 7.70018i | 0.344943 | + | 0.383098i | ||||
\(405\) | −0.442350 | + | 4.20868i | −0.0219806 | + | 0.209131i | ||||
\(406\) | −12.5609 | −0.623387 | ||||||||
\(407\) | 9.16217 | + | 21.0438i | 0.454152 | + | 1.04310i | ||||
\(408\) | 0.651143 | + | 1.12781i | 0.0322364 | + | 0.0558351i | ||||
\(409\) | −1.21680 | + | 11.5771i | −0.0601671 | + | 0.572452i | 0.922360 | + | 0.386332i | \(0.126258\pi\) |
−0.982527 | + | 0.186120i | \(0.940409\pi\) | |||||||
\(410\) | −0.935049 | + | 2.87778i | −0.0461788 | + | 0.142124i | ||||
\(411\) | −0.820263 | − | 2.52451i | −0.0404606 | − | 0.124525i | ||||
\(412\) | 1.79762 | + | 0.800353i | 0.0885625 | + | 0.0394306i | ||||
\(413\) | 3.43893 | + | 32.7192i | 0.169219 | + | 1.61001i | ||||
\(414\) | −4.37188 | + | 4.85547i | −0.214866 | + | 0.238633i | ||||
\(415\) | −6.05271 | − | 6.72222i | −0.297116 | − | 0.329981i | ||||
\(416\) | −2.65905 | + | 1.18389i | −0.130371 | + | 0.0580448i | ||||
\(417\) | 3.79984 | 0.186079 | ||||||||
\(418\) | −14.4191 | + | 1.04325i | −0.705263 | + | 0.0510269i | ||||
\(419\) | −14.9567 | −0.730683 | −0.365342 | − | 0.930874i | \(-0.619048\pi\) | ||||
−0.365342 | + | 0.930874i | \(0.619048\pi\) | |||||||
\(420\) | −2.53662 | + | 1.12938i | −0.123774 | + | 0.0551079i | ||||
\(421\) | −19.2178 | − | 21.3435i | −0.936617 | − | 1.04022i | −0.999110 | − | 0.0421732i | \(-0.986572\pi\) |
0.0624933 | − | 0.998045i | \(-0.480095\pi\) | |||||||
\(422\) | 7.03450 | − | 7.81261i | 0.342434 | − | 0.380312i | ||||
\(423\) | −2.99176 | − | 28.4647i | −0.145464 | − | 1.38400i | ||||
\(424\) | 4.70358 | + | 2.09417i | 0.228426 | + | 0.101702i | ||||
\(425\) | −1.70531 | − | 5.24840i | −0.0827196 | − | 0.254585i | ||||
\(426\) | 1.26227 | − | 3.88488i | 0.0611573 | − | 0.188223i | ||||
\(427\) | −0.338111 | + | 3.21691i | −0.0163623 | + | 0.155677i | ||||
\(428\) | 4.36803 | + | 7.56565i | 0.211137 | + | 0.365700i | ||||
\(429\) | −5.91530 | + | 5.23851i | −0.285594 | + | 0.252918i | ||||
\(430\) | 14.4731 | 0.697955 | ||||||||
\(431\) | −1.56101 | + | 14.8520i | −0.0751910 | + | 0.715395i | 0.890373 | + | 0.455231i | \(0.150443\pi\) |
−0.965564 | + | 0.260164i | \(0.916223\pi\) | |||||||
\(432\) | 2.91916 | + | 3.24205i | 0.140448 | + | 0.155983i | ||||
\(433\) | −12.1845 | + | 13.5323i | −0.585551 | + | 0.650320i | −0.961008 | − | 0.276520i | \(-0.910819\pi\) |
0.375457 | + | 0.926840i | \(0.377486\pi\) | |||||||
\(434\) | 0.976141 | + | 9.28736i | 0.0468563 | + | 0.445808i | ||||
\(435\) | −0.485183 | − | 4.61621i | −0.0232628 | − | 0.221330i | ||||
\(436\) | 1.33489 | + | 4.10837i | 0.0639296 | + | 0.196755i | ||||
\(437\) | 0.982491 | + | 12.1831i | 0.0469989 | + | 0.582796i | ||||
\(438\) | 9.97416 | + | 7.24665i | 0.476584 | + | 0.346258i | ||||
\(439\) | −0.0271970 | + | 0.0471067i | −0.00129804 | + | 0.00224828i | −0.866674 | − | 0.498875i | \(-0.833747\pi\) |
0.865376 | + | 0.501124i | \(0.167080\pi\) | |||||||
\(440\) | −4.07843 | − | 0.462685i | −0.194432 | − | 0.0220576i | ||||
\(441\) | 0.598893 | + | 1.03731i | 0.0285187 | + | 0.0493959i | ||||
\(442\) | −4.23077 | + | 1.88366i | −0.201237 | + | 0.0895966i | ||||
\(443\) | 23.8414 | − | 5.06765i | 1.13274 | − | 0.240771i | 0.396857 | − | 0.917880i | \(-0.370101\pi\) |
0.735883 | + | 0.677109i | \(0.236767\pi\) | |||||||
\(444\) | −1.75032 | − | 5.38692i | −0.0830664 | − | 0.255652i | ||||
\(445\) | −11.4443 | + | 8.31479i | −0.542513 | + | 0.394159i | ||||
\(446\) | 24.7352 | + | 11.0128i | 1.17125 | + | 0.521473i | ||||
\(447\) | −2.28194 | + | 2.53435i | −0.107932 | + | 0.119871i | ||||
\(448\) | 0.847071 | − | 2.60701i | 0.0400203 | − | 0.123170i | ||||
\(449\) | −17.9719 | − | 13.0574i | −0.848148 | − | 0.616215i | 0.0764871 | − | 0.997071i | \(-0.475630\pi\) |
−0.924635 | + | 0.380855i | \(0.875630\pi\) | |||||||
\(450\) | −4.04080 | − | 6.99887i | −0.190485 | − | 0.329930i | ||||
\(451\) | −5.98132 | − | 5.47556i | −0.281649 | − | 0.257834i | ||||
\(452\) | 1.11852 | + | 1.93733i | 0.0526108 | + | 0.0911245i | ||||
\(453\) | −14.9185 | + | 6.64213i | −0.700931 | + | 0.312074i | ||||
\(454\) | −3.23627 | − | 3.59425i | −0.151886 | − | 0.168686i | ||||
\(455\) | −3.05134 | − | 9.39105i | −0.143049 | − | 0.440259i | ||||
\(456\) | 3.56667 | + | 0.0865087i | 0.167025 | + | 0.00405114i | ||||
\(457\) | −28.0431 | + | 20.3745i | −1.31180 | + | 0.953080i | −0.311807 | + | 0.950145i | \(0.600934\pi\) |
−0.999996 | + | 0.00293501i | \(0.999066\pi\) | |||||||
\(458\) | 4.22537 | + | 0.898129i | 0.197438 | + | 0.0419668i | ||||
\(459\) | 4.64462 | + | 5.15838i | 0.216792 | + | 0.240772i | ||||
\(460\) | −0.362741 | + | 3.45125i | −0.0169129 | + | 0.160915i | ||||
\(461\) | 14.6060 | − | 25.2983i | 0.680269 | − | 1.17826i | −0.294630 | − | 0.955611i | \(-0.595196\pi\) |
0.974899 | − | 0.222648i | \(-0.0714702\pi\) | |||||||
\(462\) | 0.0613449 | − | 7.44102i | 0.00285402 | − | 0.346188i | ||||
\(463\) | 33.5152 | 1.55758 | 0.778791 | − | 0.627283i | \(-0.215833\pi\) | ||||
0.778791 | + | 0.627283i | \(0.215833\pi\) | |||||||
\(464\) | 3.70716 | + | 2.69341i | 0.172101 | + | 0.125038i | ||||
\(465\) | −3.37546 | + | 0.717476i | −0.156533 | + | 0.0332722i | ||||
\(466\) | 11.6197 | − | 12.9050i | 0.538273 | − | 0.597812i | ||||
\(467\) | −6.66085 | + | 4.83939i | −0.308227 | + | 0.223940i | −0.731135 | − | 0.682232i | \(-0.761009\pi\) |
0.422908 | + | 0.906173i | \(0.361009\pi\) | |||||||
\(468\) | −5.48686 | + | 3.98643i | −0.253630 | + | 0.184273i | ||||
\(469\) | −19.4103 | + | 21.5573i | −0.896284 | + | 0.995424i | ||||
\(470\) | −10.1720 | − | 11.2972i | −0.469200 | − | 0.521099i | ||||
\(471\) | 0.0546537 | − | 0.519995i | 0.00251831 | − | 0.0239601i | ||||
\(472\) | 6.00097 | − | 10.3940i | 0.276217 | − | 0.478422i | ||||
\(473\) | −16.0676 | + | 35.3022i | −0.738788 | + | 1.62320i | ||||
\(474\) | 4.94452 | 0.227109 | ||||||||
\(475\) | −14.7074 | − | 3.50093i | −0.674823 | − | 0.160634i | ||||
\(476\) | 1.34776 | − | 4.14798i | 0.0617745 | − | 0.190122i | ||||
\(477\) | 11.7347 | + | 2.49429i | 0.537296 | + | 0.114206i | ||||
\(478\) | 1.33189 | + | 12.6720i | 0.0609190 | + | 0.579606i | ||||
\(479\) | −1.44852 | − | 0.644921i | −0.0661844 | − | 0.0294672i | 0.373377 | − | 0.927679i | \(-0.378200\pi\) |
−0.439562 | + | 0.898212i | \(0.644866\pi\) | |||||||
\(480\) | 0.990814 | + | 0.210604i | 0.0452243 | + | 0.00961271i | ||||
\(481\) | 19.7025 | − | 4.18790i | 0.898357 | − | 0.190952i | ||||
\(482\) | −0.530719 | − | 0.385590i | −0.0241736 | − | 0.0175631i | ||||
\(483\) | −6.29128 | −0.286263 | ||||||||
\(484\) | 5.65631 | − | 9.43431i | 0.257105 | − | 0.428832i | ||||
\(485\) | 9.05380 | + | 15.6816i | 0.411112 | + | 0.712066i | ||||
\(486\) | 12.8526 | + | 9.33793i | 0.583004 | + | 0.423577i | ||||
\(487\) | −5.68708 | + | 17.5030i | −0.257706 | + | 0.793138i | 0.735578 | + | 0.677440i | \(0.236911\pi\) |
−0.993284 | + | 0.115698i | \(0.963089\pi\) | |||||||
\(488\) | 0.789584 | − | 0.876922i | 0.0357428 | − | 0.0396964i | ||||
\(489\) | 2.02430 | + | 19.2600i | 0.0915422 | + | 0.870966i | ||||
\(490\) | 0.581185 | + | 0.258760i | 0.0262553 | + | 0.0116896i | ||||
\(491\) | −27.5016 | − | 5.84564i | −1.24113 | − | 0.263810i | −0.459852 | − | 0.887996i | \(-0.652098\pi\) |
−0.781276 | + | 0.624186i | \(0.785431\pi\) | |||||||
\(492\) | 1.33907 | + | 1.48718i | 0.0603698 | + | 0.0670475i | ||||
\(493\) | 5.89840 | + | 4.28544i | 0.265651 | + | 0.193006i | ||||
\(494\) | −1.63176 | + | 12.5820i | −0.0734164 | + | 0.566093i | ||||
\(495\) | −9.51953 | + | 0.921265i | −0.427871 | + | 0.0414078i | ||||
\(496\) | 1.70338 | − | 2.95034i | 0.0764839 | − | 0.132474i | ||||
\(497\) | −12.4975 | + | 5.56426i | −0.560591 | + | 0.249591i | ||||
\(498\) | −5.85172 | + | 1.24382i | −0.262222 | + | 0.0557369i | ||||
\(499\) | 4.70036 | + | 0.999092i | 0.210417 | + | 0.0447255i | 0.311914 | − | 0.950110i | \(-0.399030\pi\) |
−0.101497 | + | 0.994836i | \(0.532363\pi\) | |||||||
\(500\) | −9.57426 | − | 4.26273i | −0.428174 | − | 0.190635i | ||||
\(501\) | −4.43450 | + | 3.22185i | −0.198119 | + | 0.143942i | ||||
\(502\) | −2.14586 | − | 6.60428i | −0.0957744 | − | 0.294763i | ||||
\(503\) | −36.8472 | + | 7.83211i | −1.64293 | + | 0.349216i | −0.934335 | − | 0.356396i | \(-0.884006\pi\) |
−0.708599 | + | 0.705612i | \(0.750672\pi\) | |||||||
\(504\) | 0.667638 | − | 6.35216i | 0.0297390 | − | 0.282947i | ||||
\(505\) | 12.8233 | 0.570631 | ||||||||
\(506\) | −8.01546 | − | 4.71625i | −0.356330 | − | 0.209663i | ||||
\(507\) | −1.85301 | − | 3.20951i | −0.0822950 | − | 0.142539i | ||||
\(508\) | 1.06961 | − | 0.476221i | 0.0474563 | − | 0.0211289i | ||||
\(509\) | 11.7996 | − | 2.50807i | 0.523006 | − | 0.111168i | 0.0611594 | − | 0.998128i | \(-0.480520\pi\) |
0.461847 | + | 0.886960i | \(0.347187\pi\) | |||||||
\(510\) | 1.57647 | + | 0.335088i | 0.0698071 | + | 0.0148380i | ||||
\(511\) | −4.31595 | − | 41.0636i | −0.190927 | − | 1.81654i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | 18.6910 | − | 3.50151i | 0.825230 | − | 0.154595i | ||||
\(514\) | 2.08499 | − | 6.41694i | 0.0919650 | − | 0.283039i | ||||
\(515\) | 2.22471 | − | 0.990503i | 0.0980322 | − | 0.0436468i | ||||
\(516\) | 4.78598 | − | 8.28956i | 0.210691 | − | 0.364928i | ||||
\(517\) | 38.8483 | − | 12.2694i | 1.70855 | − | 0.539609i | ||||
\(518\) | −9.48479 | + | 16.4281i | −0.416738 | + | 0.721811i | ||||
\(519\) | 2.05224 | − | 19.5257i | 0.0900832 | − | 0.857085i | ||||
\(520\) | −1.11315 | + | 3.42592i | −0.0488148 | + | 0.150236i | ||||
\(521\) | −7.45229 | − | 22.9358i | −0.326491 | − | 1.00484i | −0.970763 | − | 0.240040i | \(-0.922840\pi\) |
0.644272 | − | 0.764796i | \(-0.277160\pi\) | |||||||
\(522\) | 9.75401 | + | 4.34277i | 0.426922 | + | 0.190078i | ||||
\(523\) | −11.2864 | − | 5.02504i | −0.493521 | − | 0.219730i | 0.144857 | − | 0.989453i | \(-0.453728\pi\) |
−0.638378 | + | 0.769723i | \(0.720394\pi\) | |||||||
\(524\) | 1.39395 | + | 4.29013i | 0.0608949 | + | 0.187415i | ||||
\(525\) | 2.40470 | − | 7.40091i | 0.104950 | − | 0.323002i | ||||
\(526\) | 2.25466 | − | 21.4517i | 0.0983080 | − | 0.935338i | ||||
\(527\) | 2.71022 | − | 4.69423i | 0.118059 | − | 0.204484i | ||||
\(528\) | −1.61367 | + | 2.18295i | −0.0702259 | + | 0.0950007i | ||||
\(529\) | 7.56861 | − | 13.1092i | 0.329070 | − | 0.569966i | ||||
\(530\) | 5.82107 | − | 2.59171i | 0.252851 | − | 0.112577i | ||||
\(531\) | 8.64178 | − | 26.5967i | 0.375022 | − | 1.15420i | ||||
\(532\) | −7.77746 | − | 9.07073i | −0.337196 | − | 0.393266i | ||||
\(533\) | −5.75747 | + | 4.18305i | −0.249384 | + | 0.181188i | ||||
\(534\) | 0.977928 | + | 9.30436i | 0.0423191 | + | 0.402639i | ||||
\(535\) | 10.5753 | + | 2.24786i | 0.457212 | + | 0.0971833i | ||||
\(536\) | 10.3511 | − | 2.20020i | 0.447101 | − | 0.0950343i | ||||
\(537\) | −0.420336 | + | 0.187146i | −0.0181388 | + | 0.00807594i | ||||
\(538\) | −14.7430 | − | 25.5357i | −0.635618 | − | 1.10092i | ||||
\(539\) | −1.27637 | + | 1.13034i | −0.0549772 | + | 0.0486870i | ||||
\(540\) | 5.39909 | 0.232340 | ||||||||
\(541\) | −1.36299 | + | 12.9680i | −0.0585995 | + | 0.557537i | 0.925353 | + | 0.379107i | \(0.123769\pi\) |
−0.983952 | + | 0.178431i | \(0.942898\pi\) | |||||||
\(542\) | −17.9227 | + | 3.80958i | −0.769845 | + | 0.163636i | ||||
\(543\) | 6.03904 | + | 18.5862i | 0.259160 | + | 0.797612i | ||||
\(544\) | −1.28721 | + | 0.935215i | −0.0551888 | + | 0.0400970i | ||||
\(545\) | 4.88391 | + | 2.17445i | 0.209204 | + | 0.0931434i | ||||
\(546\) | −6.38780 | − | 1.35777i | −0.273373 | − | 0.0581072i | ||||
\(547\) | 21.7781 | − | 4.62908i | 0.931166 | − | 0.197925i | 0.282734 | − | 0.959198i | \(-0.408759\pi\) |
0.648431 | + | 0.761273i | \(0.275425\pi\) | |||||||
\(548\) | 2.96270 | − | 1.31908i | 0.126560 | − | 0.0563482i | ||||
\(549\) | 1.37476 | − | 2.38116i | 0.0586734 | − | 0.101625i | ||||
\(550\) | 8.61182 | − | 7.62651i | 0.367209 | − | 0.325195i | ||||
\(551\) | 18.4386 | − | 7.67924i | 0.785510 | − | 0.327147i | ||||
\(552\) | 1.85678 | + | 1.34903i | 0.0790296 | + | 0.0574184i | ||||
\(553\) | −11.0805 | − | 12.3061i | −0.471190 | − | 0.523309i | ||||
\(554\) | −2.61741 | − | 0.556347i | −0.111203 | − | 0.0236369i | ||||
\(555\) | −6.40381 | − | 2.85116i | −0.271827 | − | 0.121025i | ||||
\(556\) | 0.485273 | + | 4.61706i | 0.0205802 | + | 0.195807i | ||||
\(557\) | 30.4892 | − | 33.8617i | 1.29187 | − | 1.43477i | 0.451965 | − | 0.892036i | \(-0.350723\pi\) |
0.839906 | − | 0.542732i | \(-0.182610\pi\) | |||||||
\(558\) | 2.45297 | − | 7.54948i | 0.103843 | − | 0.319595i | ||||
\(559\) | 27.5386 | + | 20.0079i | 1.16476 | + | 0.846246i | ||||
\(560\) | −1.69622 | − | 2.93793i | −0.0716782 | − | 0.124150i | ||||
\(561\) | −2.56748 | + | 3.47325i | −0.108399 | + | 0.146641i | ||||
\(562\) | −19.9160 | −0.840107 | ||||||||
\(563\) | −5.97298 | − | 4.33962i | −0.251731 | − | 0.182893i | 0.454763 | − | 0.890613i | \(-0.349724\pi\) |
−0.706494 | + | 0.707719i | \(0.749724\pi\) | |||||||
\(564\) | −9.83422 | + | 2.09033i | −0.414096 | + | 0.0880187i | ||||
\(565\) | 2.70802 | + | 0.575608i | 0.113927 | + | 0.0242160i | ||||
\(566\) | −16.5880 | − | 7.38544i | −0.697244 | − | 0.310433i | ||||
\(567\) | −0.979782 | − | 9.32200i | −0.0411470 | − | 0.391487i | ||||
\(568\) | 4.88159 | + | 1.03761i | 0.204827 | + | 0.0435373i | ||||
\(569\) | −4.99093 | + | 15.3605i | −0.209231 | + | 0.643946i | 0.790282 | + | 0.612743i | \(0.209934\pi\) |
−0.999513 | + | 0.0312031i | \(0.990066\pi\) | |||||||
\(570\) | 3.03314 | − | 3.20864i | 0.127044 | − | 0.134395i | ||||
\(571\) | −29.0218 | −1.21453 | −0.607263 | − | 0.794501i | \(-0.707733\pi\) | ||||
−0.607263 | + | 0.794501i | \(0.707733\pi\) | |||||||
\(572\) | −7.12058 | − | 6.51849i | −0.297727 | − | 0.272552i | ||||
\(573\) | 7.20724 | − | 12.4833i | 0.301087 | − | 0.521497i | ||||
\(574\) | 0.700567 | − | 6.66545i | 0.0292411 | − | 0.278210i | ||||
\(575\) | −6.50769 | − | 7.22752i | −0.271389 | − | 0.301409i | ||||
\(576\) | −1.55912 | + | 1.73158i | −0.0649635 | + | 0.0721492i | ||||
\(577\) | 10.7315 | − | 7.79689i | 0.446758 | − | 0.324589i | −0.341557 | − | 0.939861i | \(-0.610954\pi\) |
0.788314 | + | 0.615273i | \(0.210954\pi\) | |||||||
\(578\) | 11.7052 | − | 8.50434i | 0.486873 | − | 0.353734i | ||||
\(579\) | −6.60050 | + | 7.33060i | −0.274308 | + | 0.304649i | ||||
\(580\) | 5.54705 | − | 1.17906i | 0.230329 | − | 0.0489579i | ||||
\(581\) | 16.2091 | + | 11.7766i | 0.672468 | + | 0.488577i | ||||
\(582\) | 11.9757 | 0.496408 | ||||||||
\(583\) | −0.140775 | + | 17.0758i | −0.00583031 | + | 0.707206i | ||||
\(584\) | −7.53139 | + | 13.0447i | −0.311651 | + | 0.539795i | ||||
\(585\) | −0.877353 | + | 8.34746i | −0.0362741 | + | 0.345125i | ||||
\(586\) | 8.09832 | + | 8.99410i | 0.334539 | + | 0.371543i | ||||
\(587\) | −4.14633 | − | 0.881329i | −0.171137 | − | 0.0363763i | 0.121546 | − | 0.992586i | \(-0.461215\pi\) |
−0.292683 | + | 0.956209i | \(0.594548\pi\) | |||||||
\(588\) | 0.340394 | − | 0.247310i | 0.0140376 | − | 0.0101989i | ||||
\(589\) | −7.11084 | − | 13.0365i | −0.292997 | − | 0.537159i | ||||
\(590\) | −4.58995 | − | 14.1264i | −0.188965 | − | 0.581575i | ||||
\(591\) | −3.61517 | − | 4.01505i | −0.148708 | − | 0.165157i | ||||
\(592\) | 6.32195 | − | 2.81471i | 0.259830 | − | 0.115684i | ||||
\(593\) | −3.51541 | − | 6.08887i | −0.144361 | − | 0.250040i | 0.784774 | − | 0.619782i | \(-0.212779\pi\) |
−0.929134 | + | 0.369743i | \(0.879446\pi\) | |||||||
\(594\) | −5.99391 | + | 13.1693i | −0.245933 | + | 0.540342i | ||||
\(595\) | −2.69882 | − | 4.67450i | −0.110641 | − | 0.191636i | ||||
\(596\) | −3.37083 | − | 2.44905i | −0.138075 | − | 0.100317i | ||||
\(597\) | −4.74422 | + | 14.6012i | −0.194168 | + | 0.597587i | ||||
\(598\) | −5.46129 | + | 6.06538i | −0.223329 | + | 0.248032i | ||||
\(599\) | 18.0304 | + | 8.02764i | 0.736701 | + | 0.328000i | 0.740558 | − | 0.671992i | \(-0.234561\pi\) |
−0.00385730 | + | 0.999993i | \(0.501228\pi\) | |||||||
\(600\) | −2.29667 | + | 1.66863i | −0.0937613 | + | 0.0681216i | ||||
\(601\) | 0.383383 | + | 1.17993i | 0.0156385 | + | 0.0481304i | 0.958571 | − | 0.284853i | \(-0.0919447\pi\) |
−0.942933 | + | 0.332983i | \(0.891945\pi\) | |||||||
\(602\) | −31.3566 | + | 6.66505i | −1.27800 | + | 0.271647i | ||||
\(603\) | 22.5260 | − | 10.0292i | 0.917328 | − | 0.408421i | ||||
\(604\) | −9.97586 | − | 17.2787i | −0.405912 | − | 0.703060i | ||||
\(605\) | −3.99274 | − | 13.0147i | −0.162328 | − | 0.529123i | ||||
\(606\) | 4.24044 | − | 7.34466i | 0.172256 | − | 0.298356i | ||||
\(607\) | 14.5683 | + | 10.5845i | 0.591310 | + | 0.429612i | 0.842784 | − | 0.538252i | \(-0.180915\pi\) |
−0.251474 | + | 0.967864i | \(0.580915\pi\) | |||||||
\(608\) | 0.350381 | + | 4.34479i | 0.0142098 | + | 0.176205i | ||||
\(609\) | 3.17700 | + | 9.77779i | 0.128738 | + | 0.396216i | ||||
\(610\) | −0.152650 | − | 1.45237i | −0.00618061 | − | 0.0588046i | ||||
\(611\) | −3.73726 | − | 35.5576i | −0.151193 | − | 1.43851i | ||||
\(612\) | −2.48069 | + | 2.75509i | −0.100276 | + | 0.111368i | ||||
\(613\) | 7.06740 | + | 7.84914i | 0.285450 | + | 0.317024i | 0.868768 | − | 0.495220i | \(-0.164913\pi\) |
−0.583318 | + | 0.812244i | \(0.698246\pi\) | |||||||
\(614\) | −2.50713 | + | 23.8537i | −0.101179 | + | 0.962657i | ||||
\(615\) | 2.47666 | 0.0998684 | ||||||||
\(616\) | 9.04918 | − | 0.875746i | 0.364602 | − | 0.0352848i | ||||
\(617\) | −17.1551 | − | 29.7135i | −0.690638 | − | 1.19622i | −0.971629 | − | 0.236509i | \(-0.923997\pi\) |
0.280992 | − | 0.959710i | \(-0.409337\pi\) | |||||||
\(618\) | 0.168351 | − | 1.60176i | 0.00677208 | − | 0.0644321i | ||||
\(619\) | 6.58866 | − | 20.2778i | 0.264821 | − | 0.815034i | −0.726914 | − | 0.686728i | \(-0.759046\pi\) |
0.991735 | − | 0.128306i | \(-0.0409538\pi\) | |||||||
\(620\) | −1.30286 | − | 4.00979i | −0.0523241 | − | 0.161037i | ||||
\(621\) | 11.1755 | + | 4.97563i | 0.448455 | + | 0.199665i | ||||
\(622\) | −2.49898 | − | 23.7762i | −0.100200 | − | 0.953338i | ||||
\(623\) | 20.9656 | − | 23.2846i | 0.839968 | − | 0.932879i | ||||
\(624\) | 1.59412 | + | 1.77045i | 0.0638159 | + | 0.0708747i | ||||
\(625\) | 3.99373 | − | 1.77812i | 0.159749 | − | 0.0711249i | ||||
\(626\) | 8.71454 | 0.348303 | ||||||||
\(627\) | 4.45909 | + | 10.9604i | 0.178079 | + | 0.437718i | ||||
\(628\) | 0.638809 | 0.0254913 | ||||||||
\(629\) | 10.0587 | − | 4.47844i | 0.401068 | − | 0.178567i | ||||
\(630\) | −5.28922 | − | 5.87427i | −0.210728 | − | 0.234037i | ||||
\(631\) | −4.55441 | + | 5.05818i | −0.181308 | + | 0.201363i | −0.826947 | − | 0.562280i | \(-0.809924\pi\) |
0.645639 | + | 0.763643i | \(0.276591\pi\) | |||||||
\(632\) | 0.631459 | + | 6.00793i | 0.0251181 | + | 0.238983i | ||||
\(633\) | −7.86079 | − | 3.49985i | −0.312439 | − | 0.139107i | ||||
\(634\) | 4.16098 | + | 12.8062i | 0.165254 | + | 0.508598i | ||||
\(635\) | 0.447766 | − | 1.37808i | 0.0177691 | − | 0.0546876i | ||||
\(636\) | 0.440501 | − | 4.19109i | 0.0174670 | − | 0.166187i | ||||
\(637\) | 0.748129 | + | 1.29580i | 0.0296419 | + | 0.0513413i | ||||
\(638\) | −3.28224 | + | 14.8391i | −0.129945 | + | 0.587486i | ||||
\(639\) | 11.6286 | 0.460019 | ||||||||
\(640\) | −0.129363 | + | 1.23080i | −0.00511350 | + | 0.0486517i | ||||
\(641\) | −19.6933 | − | 21.8716i | −0.777837 | − | 0.863876i | 0.215808 | − | 0.976436i | \(-0.430762\pi\) |
−0.993645 | + | 0.112560i | \(0.964095\pi\) | |||||||
\(642\) | 4.78454 | − | 5.31377i | 0.188831 | − | 0.209718i | ||||
\(643\) | 0.312686 | + | 2.97501i | 0.0123311 | + | 0.117323i | 0.998956 | − | 0.0456851i | \(-0.0145471\pi\) |
−0.986625 | + | 0.163008i | \(0.947880\pi\) | |||||||
\(644\) | −0.803452 | − | 7.64433i | −0.0316604 | − | 0.301229i | ||||
\(645\) | −3.66064 | − | 11.2663i | −0.144138 | − | 0.443610i | ||||
\(646\) | 0.557485 | + | 6.91293i | 0.0219340 | + | 0.271985i | ||||
\(647\) | −25.7085 | − | 18.6783i | −1.01071 | − | 0.734321i | −0.0463492 | − | 0.998925i | \(-0.514759\pi\) |
−0.964357 | + | 0.264604i | \(0.914759\pi\) | |||||||
\(648\) | −1.70973 | + | 2.96134i | −0.0671645 | + | 0.116332i | ||||
\(649\) | 39.5522 | + | 4.48707i | 1.55256 | + | 0.176133i | ||||
\(650\) | −5.04771 | − | 8.74289i | −0.197987 | − | 0.342924i | ||||
\(651\) | 6.98268 | − | 3.10889i | 0.273673 | − | 0.121847i | ||||
\(652\) | −23.1436 | + | 4.91933i | −0.906375 | + | 0.192656i | ||||
\(653\) | −10.6718 | − | 32.8444i | −0.417619 | − | 1.28530i | −0.909887 | − | 0.414856i | \(-0.863832\pi\) |
0.492268 | − | 0.870444i | \(-0.336168\pi\) | |||||||
\(654\) | 2.86045 | − | 2.07824i | 0.111852 | − | 0.0812656i | ||||
\(655\) | 5.09998 | + | 2.27066i | 0.199273 | + | 0.0887219i | ||||
\(656\) | −1.63602 | + | 1.81698i | −0.0638759 | + | 0.0709413i | ||||
\(657\) | −10.8457 | + | 33.3796i | −0.423130 | + | 1.30226i | ||||
\(658\) | 27.2406 | + | 19.7915i | 1.06195 | + | 0.771552i | ||||
\(659\) | −8.10524 | − | 14.0387i | −0.315735 | − | 0.546869i | 0.663858 | − | 0.747858i | \(-0.268918\pi\) |
−0.979593 | + | 0.200989i | \(0.935584\pi\) | |||||||
\(660\) | 0.671380 | + | 3.29181i | 0.0261334 | + | 0.128133i | ||||
\(661\) | −13.1324 | − | 22.7459i | −0.510790 | − | 0.884714i | −0.999922 | − | 0.0125040i | \(-0.996020\pi\) |
0.489132 | − | 0.872210i | \(-0.337314\pi\) | |||||||
\(662\) | −9.87444 | + | 4.39638i | −0.383781 | + | 0.170870i | ||||
\(663\) | 2.53638 | + | 2.81693i | 0.0985047 | + | 0.109401i | ||||
\(664\) | −2.25864 | − | 6.95139i | −0.0876523 | − | 0.269766i | ||||
\(665\) | −14.7829 | − | 0.358556i | −0.573257 | − | 0.0139042i | ||||
\(666\) | 13.0451 | − | 9.47783i | 0.505488 | − | 0.367258i | ||||
\(667\) | 12.5683 | + | 2.67147i | 0.486646 | + | 0.103440i | ||||
\(668\) | −4.48110 | − | 4.97676i | −0.173379 | − | 0.192557i | ||||
\(669\) | 2.31651 | − | 22.0401i | 0.0895615 | − | 0.852120i | ||||
\(670\) | 6.54829 | − | 11.3420i | 0.252982 | − | 0.438179i | ||||
\(671\) | 3.71202 | + | 1.24003i | 0.143301 | + | 0.0478710i | ||||
\(672\) | −2.24363 | −0.0865498 | ||||||||
\(673\) | −28.1119 | − | 20.4245i | −1.08363 | − | 0.787305i | −0.105320 | − | 0.994438i | \(-0.533587\pi\) |
−0.978313 | + | 0.207133i | \(0.933587\pi\) | |||||||
\(674\) | 1.12219 | − | 0.238530i | 0.0432253 | − | 0.00918783i | ||||
\(675\) | −10.1248 | + | 11.2447i | −0.389703 | + | 0.432809i | ||||
\(676\) | 3.66312 | − | 2.66141i | 0.140889 | − | 0.102362i | ||||
\(677\) | 4.13816 | − | 3.00655i | 0.159042 | − | 0.115551i | −0.505418 | − | 0.862875i | \(-0.668662\pi\) |
0.664460 | + | 0.747324i | \(0.268662\pi\) | |||||||
\(678\) | 1.22518 | − | 1.36070i | 0.0470526 | − | 0.0522572i | ||||
\(679\) | −26.8370 | − | 29.8056i | −1.02991 | − | 1.14383i | ||||
\(680\) | −0.205827 | + | 1.95831i | −0.00789309 | + | 0.0750977i | ||||
\(681\) | −1.97933 | + | 3.42830i | −0.0758481 | + | 0.131373i | ||||
\(682\) | 11.2269 | + | 1.27366i | 0.429901 | + | 0.0487708i | ||||
\(683\) | −24.7947 | −0.948741 | −0.474371 | − | 0.880325i | \(-0.657324\pi\) | ||||
−0.474371 | + | 0.880325i | \(0.657324\pi\) | |||||||
\(684\) | 2.90341 | + | 9.73272i | 0.111014 | + | 0.372140i | ||||
\(685\) | 1.24026 | − | 3.81713i | 0.0473880 | − | 0.145845i | ||||
\(686\) | 17.3906 | + | 3.69649i | 0.663977 | + | 0.141133i | ||||
\(687\) | −0.369580 | − | 3.51632i | −0.0141003 | − | 0.134156i | ||||
\(688\) | 10.6836 | + | 4.75664i | 0.407308 | + | 0.181345i | ||||
\(689\) | 14.6588 | + | 3.11583i | 0.558457 | + | 0.118704i | ||||
\(690\) | 2.77831 | − | 0.590547i | 0.105768 | − | 0.0224818i | ||||
\(691\) | 4.11960 | + | 2.99306i | 0.156717 | + | 0.113861i | 0.663380 | − | 0.748283i | \(-0.269121\pi\) |
−0.506663 | + | 0.862144i | \(0.669121\pi\) | |||||||
\(692\) | 23.9872 | 0.911856 | ||||||||
\(693\) | 20.2002 | − | 6.37983i | 0.767344 | − | 0.242350i | ||||
\(694\) | 17.3607 | + | 30.0696i | 0.659004 | + | 1.14143i | ||||
\(695\) | 4.64818 | + | 3.37710i | 0.176316 | + | 0.128101i | ||||
\(696\) | 1.15899 | − | 3.56700i | 0.0439314 | − | 0.135207i | ||||
\(697\) | −2.60304 | + | 2.89097i | −0.0985973 | + | 0.109503i | ||||
\(698\) | −2.28164 | − | 21.7083i | −0.0863612 | − | 0.821672i | ||||
\(699\) | −12.9846 | − | 5.78111i | −0.491122 | − | 0.218662i | ||||
\(700\) | 9.29971 | + | 1.97672i | 0.351496 | + | 0.0747128i | ||||
\(701\) | 32.9652 | + | 36.6115i | 1.24508 | + | 1.38280i | 0.894993 | + | 0.446080i | \(0.147180\pi\) |
0.350084 | + | 0.936718i | \(0.386153\pi\) | |||||||
\(702\) | 10.2731 | + | 7.46383i | 0.387733 | + | 0.281704i | ||||
\(703\) | 3.87954 | − | 29.9141i | 0.146320 | − | 1.12823i | ||||
\(704\) | −2.85851 | − | 1.68193i | −0.107734 | − | 0.0633903i | ||||
\(705\) | −6.22128 | + | 10.7756i | −0.234307 | + | 0.405832i | ||||
\(706\) | 0.880577 | − | 0.392058i | 0.0331409 | − | 0.0147553i | ||||
\(707\) | −27.7823 | + | 5.90532i | −1.04486 | + | 0.222092i | ||||
\(708\) | −9.60881 | − | 2.04242i | −0.361121 | − | 0.0767587i | ||||
\(709\) | 33.3353 | + | 14.8418i | 1.25193 | + | 0.557397i | 0.922213 | − | 0.386682i | \(-0.126379\pi\) |
0.329720 | + | 0.944079i | \(0.393046\pi\) | |||||||
\(710\) | 4.99676 | − | 3.63036i | 0.187525 | − | 0.136245i | ||||
\(711\) | 4.34973 | + | 13.3871i | 0.163128 | + | 0.502055i | ||||
\(712\) | −11.1805 | + | 2.37650i | −0.419009 | + | 0.0890630i | ||||
\(713\) | 0.998536 | − | 9.50043i | 0.0373955 | − | 0.355794i | ||||
\(714\) | −3.56980 | −0.133596 | ||||||||
\(715\) | −11.8917 | + | 1.15083i | −0.444723 | + | 0.0430386i | ||||
\(716\) | −0.281075 | − | 0.486837i | −0.0105043 | − | 0.0181940i | ||||
\(717\) | 9.52744 | − | 4.24189i | 0.355809 | − | 0.158416i | ||||
\(718\) | 0.454674 | − | 0.0966440i | 0.0169683 | − | 0.00360672i | ||||
\(719\) | 29.1071 | + | 6.18690i | 1.08551 | + | 0.230732i | 0.715723 | − | 0.698384i | \(-0.246097\pi\) |
0.369787 | + | 0.929117i | \(0.379431\pi\) | |||||||
\(720\) | 0.301424 | + | 2.86786i | 0.0112334 | + | 0.106879i | ||||
\(721\) | −4.36378 | + | 3.17047i | −0.162516 | + | 0.118075i | ||||
\(722\) | 16.9623 | + | 8.56041i | 0.631271 | + | 0.318586i | ||||
\(723\) | −0.165922 | + | 0.510654i | −0.00617069 | + | 0.0189914i | ||||
\(724\) | −21.8123 | + | 9.71147i | −0.810648 | + | 0.360924i | ||||
\(725\) | −7.94660 | + | 13.7639i | −0.295129 | + | 0.511179i | ||||
\(726\) | −8.77459 | − | 2.01685i | −0.325656 | − | 0.0748525i | ||||
\(727\) | −15.6856 | + | 27.1683i | −0.581748 | + | 1.00762i | 0.413525 | + | 0.910493i | \(0.364298\pi\) |
−0.995272 | + | 0.0971235i | \(0.969036\pi\) | |||||||
\(728\) | 0.834004 | − | 7.93502i | 0.0309102 | − | 0.294091i | ||||
\(729\) | 0.848154 | − | 2.61035i | 0.0314131 | − | 0.0966797i | ||||
\(730\) | 5.76052 | + | 17.7290i | 0.213206 | + | 0.656181i | ||||
\(731\) | 16.9985 | + | 7.56822i | 0.628712 | + | 0.279921i | ||||
\(732\) | −0.882331 | − | 0.392839i | −0.0326119 | − | 0.0145197i | ||||
\(733\) | −0.941378 | − | 2.89726i | −0.0347706 | − | 0.107013i | 0.932165 | − | 0.362034i | \(-0.117918\pi\) |
−0.966935 | + | 0.255021i | \(0.917918\pi\) | |||||||
\(734\) | −1.96688 | + | 6.05343i | −0.0725988 | + | 0.223436i | ||||
\(735\) | 0.0544292 | − | 0.517860i | 0.00200765 | − | 0.0191015i | ||||
\(736\) | −1.40203 | + | 2.42839i | −0.0516796 | + | 0.0895117i | ||||
\(737\) | 20.3952 | + | 28.5638i | 0.751267 | + | 1.05216i | ||||
\(738\) | −2.84851 | + | 4.93376i | −0.104855 | + | 0.181614i | ||||
\(739\) | −18.3220 | + | 8.15750i | −0.673987 | + | 0.300078i | −0.715045 | − | 0.699078i | \(-0.753594\pi\) |
0.0410580 | + | 0.999157i | \(0.486927\pi\) | |||||||
\(740\) | 2.64653 | − | 8.14519i | 0.0972884 | − | 0.299423i | ||||
\(741\) | 10.2070 | − | 1.91213i | 0.374962 | − | 0.0702439i | ||||
\(742\) | −11.4181 | + | 8.29573i | −0.419171 | + | 0.304546i | ||||
\(743\) | −2.48762 | − | 23.6681i | −0.0912618 | − | 0.868298i | −0.940387 | − | 0.340106i | \(-0.889537\pi\) |
0.849125 | − | 0.528192i | \(-0.177130\pi\) | |||||||
\(744\) | −2.72746 | − | 0.579740i | −0.0999937 | − | 0.0212543i | ||||
\(745\) | −5.04380 | + | 1.07209i | −0.184791 | + | 0.0392784i | ||||
\(746\) | −3.06350 | + | 1.36396i | −0.112163 | + | 0.0499380i | ||||
\(747\) | −8.51539 | − | 14.7491i | −0.311562 | − | 0.539641i | ||||
\(748\) | −4.54813 | − | 2.67610i | −0.166296 | − | 0.0978478i | ||||
\(749\) | −23.9471 | −0.875008 | ||||||||
\(750\) | −0.896650 | + | 8.53106i | −0.0327410 | + | 0.311510i | ||||
\(751\) | 28.2747 | − | 6.00998i | 1.03176 | − | 0.219307i | 0.339235 | − | 0.940702i | \(-0.389832\pi\) |
0.692525 | + | 0.721394i | \(0.256498\pi\) | |||||||
\(752\) | −3.79581 | − | 11.6823i | −0.138419 | − | 0.426010i | ||||
\(753\) | −4.59822 | + | 3.34081i | −0.167569 | + | 0.121746i | ||||
\(754\) | 12.1846 | + | 5.42492i | 0.443736 | + | 0.197564i | ||||
\(755\) | −24.1523 | − | 5.13373i | −0.878993 | − | 0.186836i | ||||
\(756\) | −11.6974 | + | 2.48635i | −0.425429 | + | 0.0904278i | ||||
\(757\) | 21.1419 | − | 9.41299i | 0.768416 | − | 0.342121i | 0.0151920 | − | 0.999885i | \(-0.495164\pi\) |
0.753224 | + | 0.657764i | \(0.228497\pi\) | |||||||
\(758\) | −17.4810 | + | 30.2780i | −0.634938 | + | 1.09974i | ||||
\(759\) | −1.64395 | + | 7.43235i | −0.0596715 | + | 0.269777i | ||||
\(760\) | 4.28607 | + | 3.27570i | 0.155472 | + | 0.118822i | ||||
\(761\) | 9.20331 | + | 6.68659i | 0.333620 | + | 0.242389i | 0.741965 | − | 0.670439i | \(-0.233894\pi\) |
−0.408345 | + | 0.912828i | \(0.633894\pi\) | |||||||
\(762\) | −0.641239 | − | 0.712168i | −0.0232296 | − | 0.0257991i | ||||
\(763\) | −11.5826 | − | 2.46195i | −0.419317 | − | 0.0891286i | ||||
\(764\) | 16.0885 | + | 7.16306i | 0.582061 | + | 0.259150i | ||||
\(765\) | 0.479591 | + | 4.56300i | 0.0173396 | + | 0.164976i | ||||
\(766\) | 5.86463 | − | 6.51333i | 0.211898 | − | 0.235336i | ||||
\(767\) | 10.7952 | − | 33.2242i | 0.389792 | − | 1.19966i | ||||
\(768\) | 0.662173 | + | 0.481097i | 0.0238941 | + | 0.0173601i | ||||
\(769\) | −6.49724 | − | 11.2536i | −0.234297 | − | 0.405814i | 0.724771 | − | 0.688989i | \(-0.241945\pi\) |
−0.959068 | + | 0.283176i | \(0.908612\pi\) | |||||||
\(770\) | 6.68824 | − | 9.04777i | 0.241027 | − | 0.326059i | ||||
\(771\) | −5.52250 | −0.198888 | ||||||||
\(772\) | −9.75012 | − | 7.08388i | −0.350915 | − | 0.254954i | ||||
\(773\) | −40.8520 | + | 8.68336i | −1.46934 | + | 0.312319i | −0.871936 | − | 0.489619i | \(-0.837136\pi\) |
−0.597407 | + | 0.801938i | \(0.703802\pi\) | |||||||
\(774\) | 26.6539 | + | 5.66547i | 0.958056 | + | 0.203641i | ||||
\(775\) | 10.7944 | + | 4.80598i | 0.387747 | + | 0.172636i | ||||
\(776\) | 1.52940 | + | 14.5513i | 0.0549023 | + | 0.522360i | ||||
\(777\) | 15.1871 | + | 3.22813i | 0.544835 | + | 0.115808i | ||||
\(778\) | 0.387491 | − | 1.19257i | 0.0138922 | − | 0.0427558i | ||||
\(779\) | 3.04660 | + | 10.2127i | 0.109156 | + | 0.365910i | ||||
\(780\) | 2.94838 | 0.105569 | ||||||||
\(781\) | 3.30779 | + | 16.2182i | 0.118362 | + | 0.580334i | ||||
\(782\) | −2.23075 | + | 3.86377i | −0.0797715 | + | 0.138168i | ||||
\(783\) | 2.08961 | − | 19.8813i | 0.0746765 | − | 0.710500i | ||||
\(784\) | 0.343970 | + | 0.382018i | 0.0122847 | + | 0.0136435i | ||||
\(785\) | 0.529001 | − | 0.587515i | 0.0188808 | − | 0.0209693i | ||||
\(786\) | 2.98700 | − | 2.17018i | 0.106543 | − | 0.0774079i | ||||
\(787\) | −42.8437 | + | 31.1278i | −1.52721 | + | 1.10959i | −0.569450 | + | 0.822026i | \(0.692844\pi\) |
−0.957763 | + | 0.287560i | \(0.907156\pi\) | |||||||
\(788\) | 4.41687 | − | 4.90544i | 0.157345 | − | 0.174749i | ||||
\(789\) | −17.2689 | + | 3.67062i | −0.614790 | + | 0.130678i | ||||
\(790\) | 6.04842 | + | 4.39444i | 0.215193 | + | 0.156347i | ||||
\(791\) | −6.13213 | −0.218033 | ||||||||
\(792\) | −7.32981 | − | 2.44859i | −0.260453 | − | 0.0870067i | ||||
\(793\) | 1.71733 | − | 2.97450i | 0.0609842 | − | 0.105628i | ||||
\(794\) | −1.05255 | + | 10.0143i | −0.0373535 | + | 0.355394i | ||||
\(795\) | −3.48978 | − | 3.87579i | −0.123770 | − | 0.137460i | ||||
\(796\) | −18.3473 | − | 3.89985i | −0.650304 | − | 0.138226i | ||||
\(797\) | 12.6029 | − | 9.15653i | 0.446417 | − | 0.324341i | −0.341763 | − | 0.939786i | \(-0.611024\pi\) |
0.788179 | + | 0.615446i | \(0.211024\pi\) | |||||||
\(798\) | −5.09380 | + | 8.34845i | −0.180319 | + | 0.295532i | ||||
\(799\) | −6.03945 | − | 18.5875i | −0.213660 | − | 0.657579i | ||||
\(800\) | −2.32081 | − | 2.57752i | −0.0820529 | − | 0.0911290i | ||||
\(801\) | −24.3309 | + | 10.8328i | −0.859690 | + | 0.382759i | ||||
\(802\) | 2.60691 | + | 4.51531i | 0.0920533 | + | 0.159441i | ||||
\(803\) | −49.6392 | − | 5.63140i | −1.75173 | − | 0.198728i | ||||
\(804\) | −4.33079 | − | 7.50115i | −0.152735 | − | 0.264545i | ||||
\(805\) | −7.69586 | − | 5.59137i | −0.271243 | − | 0.197070i | ||||
\(806\) | 3.06422 | − | 9.43069i | 0.107932 | − | 0.332182i | ||||
\(807\) | −16.1489 | + | 17.9351i | −0.568467 | + | 0.631346i | ||||
\(808\) | 9.46580 | + | 4.21445i | 0.333006 | + | 0.148264i | ||||
\(809\) | 34.8064 | − | 25.2884i | 1.22373 | − | 0.889092i | 0.227325 | − | 0.973819i | \(-0.427002\pi\) |
0.996404 | + | 0.0847273i | \(0.0270019\pi\) | |||||||
\(810\) | 1.30772 | + | 4.02474i | 0.0459485 | + | 0.141415i | ||||
\(811\) | −25.4409 | + | 5.40763i | −0.893351 | + | 0.189888i | −0.631643 | − | 0.775259i | \(-0.717619\pi\) |
−0.261708 | + | 0.965147i | \(0.584286\pi\) | |||||||
\(812\) | −11.4750 | + | 5.10898i | −0.402692 | + | 0.179290i | ||||
\(813\) | 7.49864 | + | 12.9880i | 0.262989 | + | 0.455510i | ||||
\(814\) | 16.9293 | + | 15.4978i | 0.593373 | + | 0.543199i | ||||
\(815\) | −14.6410 | + | 25.3590i | −0.512853 | + | 0.888287i | ||||
\(816\) | 1.05357 | + | 0.765465i | 0.0368824 | + | 0.0267966i | ||||
\(817\) | 41.9547 | − | 28.9540i | 1.46781 | − | 1.01297i | ||||
\(818\) | 3.59723 | + | 11.0711i | 0.125774 | + | 0.387093i | ||||
\(819\) | −1.94329 | − | 18.4892i | −0.0679041 | − | 0.646064i | ||||
\(820\) | 0.316291 | + | 3.00931i | 0.0110454 | + | 0.105089i | ||||
\(821\) | 4.20502 | − | 4.67015i | 0.146756 | − | 0.162989i | −0.665285 | − | 0.746590i | \(-0.731690\pi\) |
0.812041 | + | 0.583600i | \(0.198357\pi\) | |||||||
\(822\) | −1.77616 | − | 1.97262i | −0.0619506 | − | 0.0688031i | ||||
\(823\) | −3.19122 | + | 30.3624i | −0.111239 | + | 1.05837i | 0.786424 | + | 0.617687i | \(0.211930\pi\) |
−0.897663 | + | 0.440682i | \(0.854737\pi\) | |||||||
\(824\) | 1.96774 | 0.0685496 | ||||||||
\(825\) | −8.11487 | − | 4.77475i | −0.282524 | − | 0.166236i | ||||
\(826\) | 16.4497 | + | 28.4918i | 0.572359 | + | 0.991355i | ||||
\(827\) | 3.99452 | − | 38.0054i | 0.138903 | − | 1.32158i | −0.673807 | − | 0.738907i | \(-0.735342\pi\) |
0.812710 | − | 0.582668i | \(-0.197991\pi\) | |||||||
\(828\) | −2.01902 | + | 6.21390i | −0.0701657 | + | 0.215948i | ||||
\(829\) | −0.478555 | − | 1.47284i | −0.0166209 | − | 0.0511539i | 0.942402 | − | 0.334482i | \(-0.108561\pi\) |
−0.959023 | + | 0.283328i | \(0.908561\pi\) | |||||||
\(830\) | −8.26360 | − | 3.67919i | −0.286834 | − | 0.127707i | ||||
\(831\) | 0.228937 | + | 2.17819i | 0.00794173 | + | 0.0755605i | ||||
\(832\) | −1.94763 | + | 2.16307i | −0.0675220 | + | 0.0749908i | ||||
\(833\) | 0.547285 | + | 0.607822i | 0.0189623 | + | 0.0210598i | ||||
\(834\) | 3.47133 | − | 1.54553i | 0.120202 | − | 0.0535175i | ||||
\(835\) | −8.28796 | −0.286817 | ||||||||
\(836\) | −12.7482 | + | 6.81785i | −0.440906 | + | 0.235800i | ||||
\(837\) | −14.8624 | −0.513718 | ||||||||
\(838\) | −13.6636 | + | 6.08344i | −0.472002 | + | 0.210149i | ||||
\(839\) | −22.6096 | − | 25.1105i | −0.780571 | − | 0.866912i | 0.213354 | − | 0.976975i | \(-0.431561\pi\) |
−0.993925 | + | 0.110063i | \(0.964895\pi\) | |||||||
\(840\) | −1.85796 | + | 2.06347i | −0.0641056 | + | 0.0711965i | ||||
\(841\) | 0.836490 | + | 7.95867i | 0.0288445 | + | 0.274437i | ||||
\(842\) | −26.2375 | − | 11.6817i | −0.904204 | − | 0.402577i | ||||
\(843\) | 5.03731 | + | 15.5032i | 0.173494 | + | 0.533960i | ||||
\(844\) | 3.24867 | − | 9.99836i | 0.111824 | − | 0.344158i | ||||
\(845\) | 0.585737 | − | 5.57291i | 0.0201500 | − | 0.191714i | ||||
\(846\) | −14.3107 | − | 24.7869i | −0.492013 | − | 0.852191i | ||||
\(847\) | 14.6439 | + | 26.3582i | 0.503170 | + | 0.905680i | ||||
\(848\) | 5.14871 | 0.176808 | ||||||||
\(849\) | −1.55350 | + | 14.7806i | −0.0533160 | + | 0.507268i | ||||
\(850\) | −3.69260 | − | 4.10104i | −0.126655 | − | 0.140665i | ||||
\(851\) | 12.9843 | − | 14.4206i | 0.445097 | − | 0.494330i | ||||
\(852\) | −0.426978 | − | 4.06242i | −0.0146280 | − | 0.139176i | ||||
\(853\) | −1.06058 | − | 10.0907i | −0.0363135 | − | 0.345500i | −0.997560 | − | 0.0698104i | \(-0.977761\pi\) |
0.961247 | − | 0.275689i | \(-0.0889061\pi\) | |||||||
\(854\) | 0.999556 | + | 3.07632i | 0.0342041 | + | 0.105269i | ||||
\(855\) | 11.3555 | + | 5.38943i | 0.388351 | + | 0.184315i | ||||
\(856\) | 7.06762 | + | 5.13493i | 0.241566 | + | 0.175508i | ||||
\(857\) | −4.11937 | + | 7.13497i | −0.140715 | + | 0.243726i | −0.927766 | − | 0.373162i | \(-0.878274\pi\) |
0.787051 | + | 0.616888i | \(0.211607\pi\) | |||||||
\(858\) | −3.27320 | + | 7.19159i | −0.111745 | + | 0.245517i | ||||
\(859\) | 11.5066 | + | 19.9299i | 0.392599 | + | 0.680001i | 0.992791 | − | 0.119855i | \(-0.0382429\pi\) |
−0.600193 | + | 0.799855i | \(0.704910\pi\) | |||||||
\(860\) | 13.2218 | − | 5.88674i | 0.450861 | − | 0.200736i | ||||
\(861\) | −5.36578 | + | 1.14053i | −0.182865 | + | 0.0388692i | ||||
\(862\) | 4.61479 | + | 14.2029i | 0.157180 | + | 0.483752i | ||||
\(863\) | −9.81927 | + | 7.13412i | −0.334252 | + | 0.242848i | −0.742233 | − | 0.670142i | \(-0.766233\pi\) |
0.407981 | + | 0.912991i | \(0.366233\pi\) | |||||||
\(864\) | 3.98545 | + | 1.77444i | 0.135588 | + | 0.0603675i | ||||
\(865\) | 19.8639 | − | 22.0611i | 0.675392 | − | 0.750099i | ||||
\(866\) | −5.62704 | + | 17.3182i | −0.191215 | + | 0.588498i | ||||
\(867\) | −9.58062 | − | 6.96073i | −0.325375 | − | 0.236399i | ||||
\(868\) | 4.66926 | + | 8.08740i | 0.158485 | + | 0.274504i | ||||
\(869\) | −17.4335 | + | 9.87452i | −0.591391 | + | 0.334970i | ||||
\(870\) | −2.32082 | − | 4.01978i | −0.0786832 | − | 0.136283i | ||||
\(871\) | 28.1391 | − | 12.5283i | 0.953457 | − | 0.424507i | ||||
\(872\) | 2.89051 | + | 3.21023i | 0.0978849 | + | 0.108712i | ||||
\(873\) | 10.5351 | + | 32.4237i | 0.356559 | + | 1.09738i | ||||
\(874\) | 5.85286 | + | 10.7302i | 0.197976 | + | 0.362954i | ||||
\(875\) | 23.2418 | − | 16.8862i | 0.785716 | − | 0.570856i | ||||
\(876\) | 12.0593 | + | 2.56329i | 0.407447 | + | 0.0866055i | ||||
\(877\) | 4.70914 | + | 5.23003i | 0.159016 | + | 0.176606i | 0.817388 | − | 0.576087i | \(-0.195421\pi\) |
−0.658372 | + | 0.752693i | \(0.728754\pi\) | |||||||
\(878\) | −0.00568573 | + | 0.0540961i | −0.000191884 | + | 0.00182566i | ||||
\(879\) | 4.95299 | − | 8.57884i | 0.167060 | − | 0.289357i | ||||
\(880\) | −3.91403 | + | 1.23617i | −0.131942 | + | 0.0416711i | ||||
\(881\) | −3.97514 | −0.133926 | −0.0669630 | − | 0.997755i | \(-0.521331\pi\) | ||||
−0.0669630 | + | 0.997755i | \(0.521331\pi\) | |||||||
\(882\) | 0.969030 | + | 0.704041i | 0.0326289 | + | 0.0237063i | ||||
\(883\) | 13.6732 | − | 2.90632i | 0.460139 | − | 0.0978055i | 0.0279907 | − | 0.999608i | \(-0.491089\pi\) |
0.432148 | + | 0.901803i | \(0.357756\pi\) | |||||||
\(884\) | −3.09885 | + | 3.44162i | −0.104225 | + | 0.115754i | ||||
\(885\) | −9.83551 | + | 7.14592i | −0.330617 | + | 0.240207i | ||||
\(886\) | 19.7190 | − | 14.3267i | 0.662474 | − | 0.481315i | ||||
\(887\) | −0.801386 | + | 0.890029i | −0.0269079 | + | 0.0298843i | −0.756449 | − | 0.654053i | \(-0.773067\pi\) |
0.729541 | + | 0.683937i | \(0.239734\pi\) | |||||||
\(888\) | −3.79005 | − | 4.20928i | −0.127186 | − | 0.141254i | ||||
\(889\) | −0.335480 | + | 3.19188i | −0.0112516 | + | 0.107052i | ||||
\(890\) | −7.07298 | + | 12.2508i | −0.237087 | + | 0.410647i | ||||
\(891\) | −11.2688 | − | 1.27841i | −0.377518 | − | 0.0428282i | ||||
\(892\) | 27.0761 | 0.906575 | ||||||||
\(893\) | −52.0872 | − | 12.3988i | −1.74303 | − | 0.414908i | ||||
\(894\) | −1.05384 | + | 3.24339i | −0.0352457 | + | 0.108475i | ||||
\(895\) | −0.680505 | − | 0.144646i | −0.0227468 | − | 0.00483498i | ||||
\(896\) | −0.286531 | − | 2.72616i | −0.00957233 | − | 0.0910747i | ||||
\(897\) | 6.10279 | + | 2.71714i | 0.203766 | + | 0.0907225i | ||||
\(898\) | −21.7291 | − | 4.61866i | −0.725109 | − | 0.154127i | ||||
\(899\) | −15.2696 | + | 3.24566i | −0.509271 | + | 0.108249i | ||||
\(900\) | −6.53815 | − | 4.75025i | −0.217938 | − | 0.158342i | ||||
\(901\) | 8.19203 | 0.272916 | ||||||||
\(902\) | −7.69132 | − | 2.56935i | −0.256093 | − | 0.0855501i | ||||
\(903\) | 13.1192 | + | 22.7232i | 0.436581 | + | 0.756180i | ||||
\(904\) | 1.80980 | + | 1.31490i | 0.0601932 | + | 0.0437329i | ||||
\(905\) | −9.13120 | + | 28.1030i | −0.303531 | + | 0.934174i | ||||
\(906\) | −10.9271 | + | 12.1358i | −0.363029 | + | 0.403184i | ||||
\(907\) | 3.53188 | + | 33.6036i | 0.117274 | + | 1.11579i | 0.881940 | + | 0.471361i | \(0.156237\pi\) |
−0.764666 | + | 0.644427i | \(0.777096\pi\) | |||||||
\(908\) | −4.41840 | − | 1.96720i | −0.146630 | − | 0.0652837i | ||||
\(909\) | 23.6157 | + | 5.01967i | 0.783284 | + | 0.166492i | ||||
\(910\) | −6.60722 | − | 7.33806i | −0.219027 | − | 0.243254i | ||||
\(911\) | −37.8679 | − | 27.5127i | −1.25462 | − | 0.911536i | −0.256140 | − | 0.966640i | \(-0.582451\pi\) |
−0.998481 | + | 0.0551041i | \(0.982451\pi\) | |||||||
\(912\) | 3.29350 | − | 1.37167i | 0.109059 | − | 0.0454204i | ||||
\(913\) | 18.1481 | − | 16.0717i | 0.600616 | − | 0.531897i | ||||
\(914\) | −17.3316 | + | 30.0192i | −0.573279 | + | 0.992948i | ||||
\(915\) | −1.09196 | + | 0.486171i | −0.0360990 | + | 0.0160723i | ||||
\(916\) | 4.22537 | − | 0.898129i | 0.139610 | − | 0.0296750i | ||||
\(917\) | −12.0950 | − | 2.57087i | −0.399412 | − | 0.0848977i | ||||
\(918\) | 6.34118 | + | 2.82327i | 0.209290 | + | 0.0931819i | ||||
\(919\) | −24.4458 | + | 17.7609i | −0.806391 | + | 0.585877i | −0.912782 | − | 0.408447i | \(-0.866070\pi\) |
0.106391 | + | 0.994324i | \(0.466070\pi\) | |||||||
\(920\) | 1.07237 | + | 3.30041i | 0.0353550 | + | 0.108811i | ||||
\(921\) | 19.2026 | − | 4.08163i | 0.632746 | − | 0.134494i | ||||
\(922\) | 3.05348 | − | 29.0519i | 0.100561 | − | 0.956775i | ||||
\(923\) | 14.5262 | 0.478137 | ||||||||
\(924\) | −2.97049 | − | 6.82266i | −0.0977221 | − | 0.224449i | ||||
\(925\) | 12.0010 | + | 20.7864i | 0.394591 | + | 0.683452i | ||||
\(926\) | 30.6176 | − | 13.6318i | 1.00616 | − | 0.447970i | ||||
\(927\) | 4.48479 | − | 0.953272i | 0.147300 | − | 0.0313096i | ||||
\(928\) | 4.48217 | + | 0.952714i | 0.147134 | + | 0.0312744i | ||||
\(929\) | 2.83549 | + | 26.9778i | 0.0930293 | + | 0.885114i | 0.937142 | + | 0.348948i | \(0.113461\pi\) |
−0.844113 | + | 0.536166i | \(0.819872\pi\) | |||||||
\(930\) | −2.79181 | + | 2.02837i | −0.0915472 | + | 0.0665129i | ||||
\(931\) | 2.20240 | − | 0.412589i | 0.0721808 | − | 0.0135221i | ||||
\(932\) | 5.36620 | − | 16.5155i | 0.175776 | − | 0.540982i | ||||
\(933\) | −17.8761 | + | 7.95893i | −0.585236 | + | 0.260564i | ||||
\(934\) | −4.11663 | + | 7.13021i | −0.134700 | + | 0.233308i | ||||
\(935\) | −6.22754 | + | 1.96684i | −0.203662 | + | 0.0643226i | ||||
\(936\) | −3.39106 | + | 5.87349i | −0.110840 | + | 0.191981i | ||||
\(937\) | −6.15907 | + | 58.5996i | −0.201208 | + | 1.91437i | 0.169349 | + | 0.985556i | \(0.445833\pi\) |
−0.370557 | + | 0.928810i | \(0.620833\pi\) | |||||||
\(938\) | −8.96403 | + | 27.5885i | −0.292686 | + | 0.900795i | ||||
\(939\) | −2.20415 | − | 6.78367i | −0.0719296 | − | 0.221377i | ||||
\(940\) | −13.8876 | − | 6.18314i | −0.452963 | − | 0.201672i | ||||
\(941\) | −8.33174 | − | 3.70953i | −0.271607 | − | 0.120927i | 0.266414 | − | 0.963859i | \(-0.414161\pi\) |
−0.538021 | + | 0.842932i | \(0.680828\pi\) | |||||||
\(942\) | −0.161572 | − | 0.497269i | −0.00526431 | − | 0.0162019i | ||||
\(943\) | −2.11860 | + | 6.52037i | −0.0689910 | + | 0.212332i | ||||
\(944\) | 1.25454 | − | 11.9362i | 0.0408319 | − | 0.388490i | ||||
\(945\) | −7.39994 | + | 12.8171i | −0.240720 | + | 0.416939i | ||||
\(946\) | −0.319753 | + | 38.7855i | −0.0103961 | + | 1.26102i | ||||
\(947\) | −21.5183 | + | 37.2707i | −0.699249 | + | 1.21114i | 0.269478 | + | 0.963007i | \(0.413149\pi\) |
−0.968727 | + | 0.248129i | \(0.920184\pi\) | |||||||
\(948\) | 4.51704 | − | 2.01112i | 0.146707 | − | 0.0653180i | ||||
\(949\) | −13.5483 | + | 41.6973i | −0.439795 | + | 1.35355i | ||||
\(950\) | −14.8599 | + | 2.78379i | −0.482117 | + | 0.0903180i | ||||
\(951\) | 8.91629 | − | 6.47807i | 0.289131 | − | 0.210066i | ||||
\(952\) | −0.455895 | − | 4.33755i | −0.0147756 | − | 0.140581i | ||||
\(953\) | 7.66905 | + | 1.63011i | 0.248425 | + | 0.0528044i | 0.330441 | − | 0.943827i | \(-0.392803\pi\) |
−0.0820160 | + | 0.996631i | \(0.526136\pi\) | |||||||
\(954\) | 11.7347 | − | 2.49429i | 0.379926 | − | 0.0807557i | ||||
\(955\) | 19.9108 | − | 8.86487i | 0.644299 | − | 0.286861i | ||||
\(956\) | 6.37092 | + | 11.0348i | 0.206050 | + | 0.356890i | ||||
\(957\) | 12.3814 | − | 1.19822i | 0.400234 | − | 0.0387331i | ||||
\(958\) | −1.58560 | −0.0512284 | ||||||||
\(959\) | −0.929241 | + | 8.84114i | −0.0300068 | + | 0.285495i | ||||
\(960\) | 0.990814 | − | 0.210604i | 0.0319784 | − | 0.00679722i | ||||
\(961\) | −5.99308 | − | 18.4448i | −0.193325 | − | 0.594994i | ||||
\(962\) | 16.2958 | − | 11.8396i | 0.525396 | − | 0.381723i | ||||
\(963\) | 18.5958 | + | 8.27939i | 0.599242 | + | 0.266800i | ||||
\(964\) | −0.641669 | − | 0.136391i | −0.0206668 | − | 0.00439286i | ||||
\(965\) | −14.5892 | + | 3.10103i | −0.469642 | + | 0.0998256i | ||||
\(966\) | −5.74737 | + | 2.55889i | −0.184919 | + | 0.0823311i | ||||
\(967\) | 21.3700 | − | 37.0139i | 0.687212 | − | 1.19029i | −0.285524 | − | 0.958371i | \(-0.592168\pi\) |
0.972736 | − | 0.231914i | \(-0.0744990\pi\) | |||||||
\(968\) | 1.33002 | − | 10.9193i | 0.0427485 | − | 0.350959i | ||||
\(969\) | 5.24023 | − | 2.18243i | 0.168341 | − | 0.0701099i | ||||
\(970\) | 14.6493 | + | 10.6434i | 0.470362 | + | 0.341738i | ||||
\(971\) | −23.4194 | − | 26.0099i | −0.751564 | − | 0.834696i | 0.239104 | − | 0.970994i | \(-0.423146\pi\) |
−0.990668 | + | 0.136298i | \(0.956480\pi\) | |||||||
\(972\) | 15.5395 | + | 3.30302i | 0.498429 | + | 0.105944i | ||||
\(973\) | −11.6257 | − | 5.17609i | −0.372703 | − | 0.165938i | ||||
\(974\) | 1.92372 | + | 18.3030i | 0.0616399 | + | 0.586465i | ||||
\(975\) | −5.52903 | + | 6.14061i | −0.177071 | + | 0.196657i | ||||
\(976\) | 0.364645 | − | 1.12226i | 0.0116720 | − | 0.0359227i | ||||
\(977\) | −12.7459 | − | 9.26041i | −0.407776 | − | 0.296267i | 0.364925 | − | 0.931037i | \(-0.381095\pi\) |
−0.772701 | + | 0.634770i | \(0.781095\pi\) | |||||||
\(978\) | 9.68303 | + | 16.7715i | 0.309629 | + | 0.536293i | ||||
\(979\) | −22.0294 | − | 30.8526i | −0.704063 | − | 0.986052i | ||||
\(980\) | 0.636186 | 0.0203222 | ||||||||
\(981\) | 8.14311 | + | 5.91632i | 0.259989 | + | 0.188893i | ||||
\(982\) | −27.5016 | + | 5.84564i | −0.877610 | + | 0.186542i | ||||
\(983\) | 37.5751 | + | 7.98684i | 1.19846 | + | 0.254741i | 0.763559 | − | 0.645738i | \(-0.223450\pi\) |
0.434901 | + | 0.900478i | \(0.356783\pi\) | |||||||
\(984\) | 1.82819 | + | 0.813963i | 0.0582806 | + | 0.0259482i | ||||
\(985\) | −0.853911 | − | 8.12442i | −0.0272079 | − | 0.258866i | ||||
\(986\) | 7.13150 | + | 1.51585i | 0.227113 | + | 0.0482744i | ||||
\(987\) | 8.51638 | − | 26.2107i | 0.271080 | − | 0.834297i | ||||
\(988\) | 3.62689 | + | 12.1580i | 0.115387 | + | 0.386796i | ||||
\(989\) | 32.7926 | 1.04274 | ||||||||
\(990\) | −8.32182 | + | 4.71356i | −0.264485 | + | 0.149807i | ||||
\(991\) | −22.5182 | + | 39.0027i | −0.715315 | + | 1.23896i | 0.247523 | + | 0.968882i | \(0.420383\pi\) |
−0.962838 | + | 0.270080i | \(0.912950\pi\) | |||||||
\(992\) | 0.356103 | − | 3.38809i | 0.0113063 | − | 0.107572i | ||||
\(993\) | 5.91980 | + | 6.57460i | 0.187859 | + | 0.208639i | ||||
\(994\) | −9.15388 | + | 10.1664i | −0.290343 | + | 0.322459i | ||||
\(995\) | −18.7802 | + | 13.6446i | −0.595372 | + | 0.432563i | ||||
\(996\) | −4.83990 | + | 3.51639i | −0.153358 | + | 0.111421i | ||||
\(997\) | 25.0884 | − | 27.8635i | 0.794559 | − | 0.882447i | −0.200706 | − | 0.979652i | \(-0.564324\pi\) |
0.995264 | + | 0.0972048i | \(0.0309902\pi\) | |||||||
\(998\) | 4.70036 | − | 0.999092i | 0.148787 | − | 0.0316257i | ||||
\(999\) | −24.4245 | − | 17.7454i | −0.772756 | − | 0.561440i |
(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 | 418.2.n.e.125.3 | ✓ | 72 | |
11.3 | even | 5 | inner | 418.2.n.e.201.7 | yes | 72 | |
19.7 | even | 3 | inner | 418.2.n.e.235.7 | yes | 72 | |
209.102 | even | 15 | inner | 418.2.n.e.311.3 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.n.e.125.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
418.2.n.e.201.7 | yes | 72 | 11.3 | even | 5 | inner | |
418.2.n.e.235.7 | yes | 72 | 19.7 | even | 3 | inner | |
418.2.n.e.311.3 | yes | 72 | 209.102 | even | 15 | inner |