Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(11,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.q (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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 291.1 | ||
Root | \(-0.104528 + 0.994522i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.291 |
Dual form | 350.2.q.a.261.1 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | − | 0.994522i | 0.0739128 | − | 0.703233i | ||||
\(3\) | −0.604528 | − | 0.128496i | −0.349025 | − | 0.0741875i | 0.0300636 | − | 0.999548i | \(-0.490429\pi\) |
−0.379088 | + | 0.925361i | \(0.623762\pi\) | |||||||
\(4\) | −0.978148 | − | 0.207912i | −0.489074 | − | 0.103956i | ||||
\(5\) | 1.11803 | + | 1.93649i | 0.500000 | + | 0.866025i | ||||
\(6\) | −0.190983 | + | 0.587785i | −0.0779685 | + | 0.239962i | ||||
\(7\) | −0.500000 | − | 2.59808i | −0.188982 | − | 0.981981i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −2.39169 | − | 1.06485i | −0.797231 | − | 0.354950i | ||||
\(10\) | 2.04275 | − | 0.909491i | 0.645974 | − | 0.287606i | ||||
\(11\) | 3.52090 | − | 1.56760i | 1.06159 | − | 0.472651i | 0.199759 | − | 0.979845i | \(-0.435984\pi\) |
0.861832 | + | 0.507195i | \(0.169317\pi\) | |||||||
\(12\) | 0.564602 | + | 0.251377i | 0.162987 | + | 0.0725663i | ||||
\(13\) | 4.73607 | − | 3.44095i | 1.31355 | − | 0.954349i | 0.313560 | − | 0.949568i | \(-0.398478\pi\) |
0.999989 | − | 0.00478088i | \(-0.00152181\pi\) | |||||||
\(14\) | −2.63611 | + | 0.225688i | −0.704529 | + | 0.0603177i | ||||
\(15\) | −0.427051 | − | 1.31433i | −0.110264 | − | 0.339358i | ||||
\(16\) | 0.913545 | + | 0.406737i | 0.228386 | + | 0.101684i | ||||
\(17\) | −5.15780 | − | 5.72831i | −1.25095 | − | 1.38932i | −0.889505 | − | 0.456926i | \(-0.848950\pi\) |
−0.361444 | − | 0.932394i | \(-0.617716\pi\) | |||||||
\(18\) | −1.30902 | + | 2.26728i | −0.308538 | + | 0.534404i | ||||
\(19\) | 5.86889 | − | 1.24747i | 1.34641 | − | 0.286189i | 0.522372 | − | 0.852717i | \(-0.325047\pi\) |
0.824042 | + | 0.566528i | \(0.191714\pi\) | |||||||
\(20\) | −0.690983 | − | 2.12663i | −0.154508 | − | 0.475528i | ||||
\(21\) | −0.0315794 | + | 1.63486i | −0.00689120 | + | 0.356756i | ||||
\(22\) | −1.19098 | − | 3.66547i | −0.253918 | − | 0.781481i | ||||
\(23\) | −0.153880 | + | 1.46407i | −0.0320862 | + | 0.305280i | 0.966695 | + | 0.255930i | \(0.0823817\pi\) |
−0.998782 | + | 0.0493500i | \(0.984285\pi\) | |||||||
\(24\) | 0.309017 | − | 0.535233i | 0.0630778 | − | 0.109254i | ||||
\(25\) | −2.50000 | + | 4.33013i | −0.500000 | + | 0.866025i | ||||
\(26\) | −2.92705 | − | 5.06980i | −0.574042 | − | 0.994270i | ||||
\(27\) | 2.80902 | + | 2.04087i | 0.540596 | + | 0.392766i | ||||
\(28\) | −0.0510966 | + | 2.64526i | −0.00965635 | + | 0.499907i | ||||
\(29\) | 1.07295 | + | 3.30220i | 0.199242 | + | 0.613203i | 0.999901 | + | 0.0140826i | \(0.00448279\pi\) |
−0.800659 | + | 0.599120i | \(0.795517\pi\) | |||||||
\(30\) | −1.35177 | + | 0.287327i | −0.246798 | + | 0.0524585i | ||||
\(31\) | −3.24803 | − | 3.60730i | −0.583363 | − | 0.647890i | 0.377141 | − | 0.926156i | \(-0.376907\pi\) |
−0.960504 | + | 0.278265i | \(0.910241\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −2.32991 | + | 0.495239i | −0.405586 | + | 0.0862100i | ||||
\(34\) | −6.23607 | + | 4.53077i | −1.06948 | + | 0.777020i | ||||
\(35\) | 4.47214 | − | 3.87298i | 0.755929 | − | 0.654654i | ||||
\(36\) | 2.11803 | + | 1.53884i | 0.353006 | + | 0.256474i | ||||
\(37\) | 0.348943 | + | 0.155360i | 0.0573659 | + | 0.0255410i | 0.435219 | − | 0.900325i | \(-0.356671\pi\) |
−0.377853 | + | 0.925866i | \(0.623338\pi\) | |||||||
\(38\) | −0.627171 | − | 5.96713i | −0.101741 | − | 0.967997i | ||||
\(39\) | −3.30524 | + | 1.47159i | −0.529262 | + | 0.235643i | ||||
\(40\) | −2.18720 | + | 0.464905i | −0.345827 | + | 0.0735079i | ||||
\(41\) | −7.59017 | + | 5.51458i | −1.18539 | + | 0.861233i | −0.992769 | − | 0.120041i | \(-0.961697\pi\) |
−0.192616 | + | 0.981274i | \(0.561697\pi\) | |||||||
\(42\) | 1.62260 | + | 0.202296i | 0.250373 | + | 0.0312149i | ||||
\(43\) | 2.23607 | 0.340997 | 0.170499 | − | 0.985358i | \(-0.445462\pi\) | ||||
0.170499 | + | 0.985358i | \(0.445462\pi\) | |||||||
\(44\) | −3.76988 | + | 0.801313i | −0.568331 | + | 0.120802i | ||||
\(45\) | −0.611920 | − | 5.82203i | −0.0912197 | − | 0.867897i | ||||
\(46\) | 1.43997 | + | 0.306074i | 0.212311 | + | 0.0451282i | ||||
\(47\) | 6.18014 | − | 6.86374i | 0.901465 | − | 1.00118i | −0.0985163 | − | 0.995135i | \(-0.531410\pi\) |
0.999982 | − | 0.00604337i | \(-0.00192368\pi\) | |||||||
\(48\) | −0.500000 | − | 0.363271i | −0.0721688 | − | 0.0524337i | ||||
\(49\) | −6.50000 | + | 2.59808i | −0.928571 | + | 0.371154i | ||||
\(50\) | 4.04508 | + | 2.93893i | 0.572061 | + | 0.415627i | ||||
\(51\) | 2.38197 | + | 4.12569i | 0.333542 | + | 0.577712i | ||||
\(52\) | −5.34799 | + | 2.38108i | −0.741633 | + | 0.330196i | ||||
\(53\) | 0.230909 | + | 0.0490813i | 0.0317178 | + | 0.00674183i | 0.223743 | − | 0.974648i | \(-0.428172\pi\) |
−0.192025 | + | 0.981390i | \(0.561506\pi\) | |||||||
\(54\) | 2.32331 | − | 2.58030i | 0.316163 | − | 0.351134i | ||||
\(55\) | 6.97214 | + | 5.06555i | 0.940123 | + | 0.683039i | ||||
\(56\) | 2.62543 | + | 0.327321i | 0.350837 | + | 0.0437402i | ||||
\(57\) | −3.70820 | −0.491164 | ||||||||
\(58\) | 3.39626 | − | 0.721898i | 0.445951 | − | 0.0947898i | ||||
\(59\) | 0.556743 | + | 5.29706i | 0.0724818 | + | 0.689619i | 0.969076 | + | 0.246764i | \(0.0793674\pi\) |
−0.896594 | + | 0.442854i | \(0.853966\pi\) | |||||||
\(60\) | 0.144455 | + | 1.37440i | 0.0186490 | + | 0.177434i | ||||
\(61\) | −0.860904 | + | 8.19095i | −0.110227 | + | 1.04874i | 0.789935 | + | 0.613190i | \(0.210114\pi\) |
−0.900163 | + | 0.435554i | \(0.856553\pi\) | |||||||
\(62\) | −3.92705 | + | 2.85317i | −0.498736 | + | 0.362353i | ||||
\(63\) | −1.57072 | + | 6.74623i | −0.197892 | + | 0.849945i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 11.9585 | + | 5.32425i | 1.48327 | + | 0.660392i | ||||
\(66\) | 0.248983 | + | 2.36892i | 0.0306477 | + | 0.291594i | ||||
\(67\) | −0.669131 | − | 0.743145i | −0.0817473 | − | 0.0907896i | 0.700883 | − | 0.713276i | \(-0.252789\pi\) |
−0.782631 | + | 0.622486i | \(0.786123\pi\) | |||||||
\(68\) | 3.85410 | + | 6.67550i | 0.467379 | + | 0.809523i | ||||
\(69\) | 0.281153 | − | 0.865300i | 0.0338468 | − | 0.104170i | ||||
\(70\) | −3.38430 | − | 4.85247i | −0.404501 | − | 0.579982i | ||||
\(71\) | 4.92705 | + | 15.1639i | 0.584733 | + | 1.79962i | 0.600338 | + | 0.799746i | \(0.295033\pi\) |
−0.0156051 | + | 0.999878i | \(0.504967\pi\) | |||||||
\(72\) | 1.75181 | − | 1.94558i | 0.206452 | − | 0.229289i | ||||
\(73\) | 4.91667 | − | 2.18904i | 0.575453 | − | 0.256208i | −0.0983100 | − | 0.995156i | \(-0.531344\pi\) |
0.673763 | + | 0.738948i | \(0.264677\pi\) | |||||||
\(74\) | 0.190983 | − | 0.330792i | 0.0222013 | − | 0.0384538i | ||||
\(75\) | 2.06773 | − | 2.29644i | 0.238761 | − | 0.265170i | ||||
\(76\) | −6.00000 | −0.688247 | ||||||||
\(77\) | −5.83320 | − | 8.36376i | −0.664755 | − | 0.953139i | ||||
\(78\) | 1.11803 | + | 3.44095i | 0.126592 | + | 0.389611i | ||||
\(79\) | 5.98489 | − | 6.64689i | 0.673352 | − | 0.747833i | −0.305547 | − | 0.952177i | \(-0.598839\pi\) |
0.978899 | + | 0.204344i | \(0.0655060\pi\) | |||||||
\(80\) | 0.233733 | + | 2.22382i | 0.0261321 | + | 0.248630i | ||||
\(81\) | 3.81953 | + | 4.24202i | 0.424393 | + | 0.471336i | ||||
\(82\) | 4.69098 | + | 8.12502i | 0.518032 | + | 0.897258i | ||||
\(83\) | −1.78115 | + | 5.48183i | −0.195507 | + | 0.601708i | 0.804463 | + | 0.594002i | \(0.202453\pi\) |
−0.999970 | + | 0.00770622i | \(0.997547\pi\) | |||||||
\(84\) | 0.370796 | − | 1.59257i | 0.0404571 | − | 0.173763i | ||||
\(85\) | 5.32624 | − | 16.3925i | 0.577712 | − | 1.77801i | ||||
\(86\) | 0.233733 | − | 2.22382i | 0.0252041 | − | 0.239801i | ||||
\(87\) | −0.224307 | − | 2.13414i | −0.0240483 | − | 0.228804i | ||||
\(88\) | 0.402863 | + | 3.83299i | 0.0429454 | + | 0.408598i | ||||
\(89\) | 0.617745 | − | 5.87746i | 0.0654809 | − | 0.623009i | −0.911738 | − | 0.410773i | \(-0.865259\pi\) |
0.977218 | − | 0.212236i | \(-0.0680745\pi\) | |||||||
\(90\) | −5.85410 | −0.617077 | ||||||||
\(91\) | −11.3079 | − | 10.5842i | −1.18539 | − | 1.10952i | ||||
\(92\) | 0.454915 | − | 1.40008i | 0.0474282 | − | 0.145969i | ||||
\(93\) | 1.50000 | + | 2.59808i | 0.155543 | + | 0.269408i | ||||
\(94\) | −6.18014 | − | 6.86374i | −0.637432 | − | 0.707940i | ||||
\(95\) | 8.97733 | + | 9.97033i | 0.921055 | + | 1.02293i | ||||
\(96\) | −0.413545 | + | 0.459289i | −0.0422073 | + | 0.0468760i | ||||
\(97\) | −3.47214 | − | 10.6861i | −0.352542 | − | 1.08501i | −0.957421 | − | 0.288695i | \(-0.906779\pi\) |
0.604879 | − | 0.796317i | \(-0.293221\pi\) | |||||||
\(98\) | 1.90441 | + | 6.73597i | 0.192374 | + | 0.680435i | ||||
\(99\) | −10.0902 | −1.01410 | ||||||||
\(100\) | 3.34565 | − | 3.71572i | 0.334565 | − | 0.371572i | ||||
\(101\) | −2.35410 | + | 4.07742i | −0.234242 | + | 0.405719i | −0.959052 | − | 0.283230i | \(-0.908594\pi\) |
0.724810 | + | 0.688949i | \(0.241927\pi\) | |||||||
\(102\) | 4.35207 | − | 1.93767i | 0.430919 | − | 0.191857i | ||||
\(103\) | 1.97010 | − | 2.18802i | 0.194120 | − | 0.215592i | −0.638225 | − | 0.769850i | \(-0.720331\pi\) |
0.832345 | + | 0.554258i | \(0.186998\pi\) | |||||||
\(104\) | 1.80902 | + | 5.56758i | 0.177389 | + | 0.545946i | ||||
\(105\) | −3.20120 | + | 1.76667i | −0.312405 | + | 0.172410i | ||||
\(106\) | 0.0729490 | − | 0.224514i | 0.00708543 | − | 0.0218067i | ||||
\(107\) | 7.78115 | + | 13.4774i | 0.752232 | + | 1.30290i | 0.946738 | + | 0.322003i | \(0.104356\pi\) |
−0.194506 | + | 0.980901i | \(0.562310\pi\) | |||||||
\(108\) | −2.32331 | − | 2.58030i | −0.223561 | − | 0.248289i | ||||
\(109\) | 0.129204 | + | 1.22930i | 0.0123755 | + | 0.117745i | 0.998966 | − | 0.0454725i | \(-0.0144793\pi\) |
−0.986590 | + | 0.163218i | \(0.947813\pi\) | |||||||
\(110\) | 5.76659 | − | 6.40445i | 0.549823 | − | 0.610640i | ||||
\(111\) | −0.190983 | − | 0.138757i | −0.0181273 | − | 0.0131703i | ||||
\(112\) | 0.599960 | − | 2.57683i | 0.0566909 | − | 0.243487i | ||||
\(113\) | −5.19098 | + | 3.77147i | −0.488327 | + | 0.354790i | −0.804540 | − | 0.593898i | \(-0.797588\pi\) |
0.316214 | + | 0.948688i | \(0.397588\pi\) | |||||||
\(114\) | −0.387613 | + | 3.68789i | −0.0363033 | + | 0.345403i | ||||
\(115\) | −3.00721 | + | 1.33889i | −0.280423 | + | 0.124853i | ||||
\(116\) | −0.362937 | − | 3.45312i | −0.0336979 | − | 0.320614i | ||||
\(117\) | −14.9913 | + | 3.18650i | −1.38595 | + | 0.294592i | ||||
\(118\) | 5.32624 | 0.490320 | ||||||||
\(119\) | −12.3037 | + | 16.2645i | −1.12788 | + | 1.49096i | ||||
\(120\) | 1.38197 | 0.126156 | ||||||||
\(121\) | 2.57890 | − | 2.86416i | 0.234445 | − | 0.260378i | ||||
\(122\) | 8.05609 | + | 1.71237i | 0.729364 | + | 0.155031i | ||||
\(123\) | 5.29708 | − | 2.35841i | 0.477621 | − | 0.212651i | ||||
\(124\) | 2.42705 | + | 4.20378i | 0.217956 | + | 0.377510i | ||||
\(125\) | −11.1803 | −1.00000 | ||||||||
\(126\) | 6.54508 | + | 2.26728i | 0.583083 | + | 0.201986i | ||||
\(127\) | −7.28115 | − | 5.29007i | −0.646098 | − | 0.469418i | 0.215842 | − | 0.976428i | \(-0.430750\pi\) |
−0.861940 | + | 0.507011i | \(0.830750\pi\) | |||||||
\(128\) | −0.669131 | + | 0.743145i | −0.0591433 | + | 0.0656853i | ||||
\(129\) | −1.35177 | − | 0.287327i | −0.119016 | − | 0.0252977i | ||||
\(130\) | 6.54508 | − | 11.3364i | 0.574042 | − | 0.994270i | ||||
\(131\) | 6.64981 | − | 1.41346i | 0.580997 | − | 0.123495i | 0.0919675 | − | 0.995762i | \(-0.470684\pi\) |
0.489029 | + | 0.872267i | \(0.337351\pi\) | |||||||
\(132\) | 2.38197 | 0.207324 | ||||||||
\(133\) | −6.17547 | − | 14.6241i | −0.535481 | − | 1.26807i | ||||
\(134\) | −0.809017 | + | 0.587785i | −0.0698884 | + | 0.0507769i | ||||
\(135\) | −0.811552 | + | 7.72140i | −0.0698473 | + | 0.664552i | ||||
\(136\) | 7.04179 | − | 3.13521i | 0.603829 | − | 0.268842i | ||||
\(137\) | −0.258409 | − | 2.45859i | −0.0220773 | − | 0.210052i | −0.999999 | − | 0.00108194i | \(-0.999656\pi\) |
0.977922 | − | 0.208970i | \(-0.0670111\pi\) | |||||||
\(138\) | −0.831171 | − | 0.370061i | −0.0707540 | − | 0.0315017i | ||||
\(139\) | −4.85410 | − | 3.52671i | −0.411720 | − | 0.299132i | 0.362578 | − | 0.931953i | \(-0.381897\pi\) |
−0.774298 | + | 0.632822i | \(0.781897\pi\) | |||||||
\(140\) | −5.17965 | + | 2.85854i | −0.437760 | + | 0.241591i | ||||
\(141\) | −4.61803 | + | 3.35520i | −0.388909 | + | 0.282559i | ||||
\(142\) | 15.5959 | − | 3.31500i | 1.30877 | − | 0.278189i | ||||
\(143\) | 11.2812 | − | 19.5395i | 0.943377 | − | 1.63398i | ||||
\(144\) | −1.75181 | − | 1.94558i | −0.145984 | − | 0.162132i | ||||
\(145\) | −5.19508 | + | 5.76973i | −0.431428 | + | 0.479150i | ||||
\(146\) | −1.66312 | − | 5.11855i | −0.137641 | − | 0.423615i | ||||
\(147\) | 4.26328 | − | 0.735384i | 0.351629 | − | 0.0606534i | ||||
\(148\) | −0.309017 | − | 0.224514i | −0.0254010 | − | 0.0184549i | ||||
\(149\) | 2.38197 | + | 4.12569i | 0.195138 | + | 0.337989i | 0.946946 | − | 0.321393i | \(-0.104151\pi\) |
−0.751808 | + | 0.659383i | \(0.770818\pi\) | |||||||
\(150\) | −2.06773 | − | 2.29644i | −0.168829 | − | 0.187504i | ||||
\(151\) | −8.80902 | + | 15.2577i | −0.716868 | + | 1.24165i | 0.245367 | + | 0.969430i | \(0.421091\pi\) |
−0.962235 | + | 0.272221i | \(0.912242\pi\) | |||||||
\(152\) | −0.627171 | + | 5.96713i | −0.0508703 | + | 0.483998i | ||||
\(153\) | 6.23607 | + | 19.1926i | 0.504156 | + | 1.55163i | ||||
\(154\) | −8.92768 | + | 4.92700i | −0.719413 | + | 0.397029i | ||||
\(155\) | 3.35410 | − | 10.3229i | 0.269408 | − | 0.829152i | ||||
\(156\) | 3.53897 | − | 0.752232i | 0.283344 | − | 0.0602267i | ||||
\(157\) | 0.690983 | − | 1.19682i | 0.0551464 | − | 0.0955164i | −0.837134 | − | 0.546997i | \(-0.815771\pi\) |
0.892281 | + | 0.451481i | \(0.149104\pi\) | |||||||
\(158\) | −5.98489 | − | 6.64689i | −0.476132 | − | 0.528798i | ||||
\(159\) | −0.133284 | − | 0.0593421i | −0.0105701 | − | 0.00470613i | ||||
\(160\) | 2.23607 | 0.176777 | ||||||||
\(161\) | 3.88071 | − | 0.332243i | 0.305843 | − | 0.0261845i | ||||
\(162\) | 4.61803 | − | 3.35520i | 0.362827 | − | 0.263609i | ||||
\(163\) | −1.87800 | − | 0.836140i | −0.147096 | − | 0.0654915i | 0.331868 | − | 0.943326i | \(-0.392321\pi\) |
−0.478965 | + | 0.877834i | \(0.658988\pi\) | |||||||
\(164\) | 8.57085 | − | 3.81599i | 0.669271 | − | 0.297979i | ||||
\(165\) | −3.56395 | − | 3.95817i | −0.277453 | − | 0.308143i | ||||
\(166\) | 5.26561 | + | 2.34440i | 0.408691 | + | 0.181961i | ||||
\(167\) | 0.0450850 | − | 0.138757i | 0.00348878 | − | 0.0107374i | −0.949297 | − | 0.314381i | \(-0.898203\pi\) |
0.952786 | + | 0.303643i | \(0.0982031\pi\) | |||||||
\(168\) | −1.54508 | − | 0.535233i | −0.119206 | − | 0.0412941i | ||||
\(169\) | 6.57295 | − | 20.2295i | 0.505611 | − | 1.55611i | ||||
\(170\) | −15.7459 | − | 7.01054i | −1.20766 | − | 0.537684i | ||||
\(171\) | −15.3649 | − | 3.26592i | −1.17499 | − | 0.249751i | ||||
\(172\) | −2.18720 | − | 0.464905i | −0.166773 | − | 0.0354486i | ||||
\(173\) | 1.01478 | − | 9.65502i | 0.0771526 | − | 0.734058i | −0.885742 | − | 0.464179i | \(-0.846350\pi\) |
0.962894 | − | 0.269879i | \(-0.0869837\pi\) | |||||||
\(174\) | −2.14590 | −0.162680 | ||||||||
\(175\) | 12.5000 | + | 4.33013i | 0.944911 | + | 0.327327i | ||||
\(176\) | 3.85410 | 0.290514 | ||||||||
\(177\) | 0.344086 | − | 3.27376i | 0.0258631 | − | 0.246071i | ||||
\(178\) | −5.78069 | − | 1.22872i | −0.433281 | − | 0.0920967i | ||||
\(179\) | 5.63798 | + | 1.19839i | 0.421402 | + | 0.0895718i | 0.413732 | − | 0.910399i | \(-0.364225\pi\) |
0.00767029 | + | 0.999971i | \(0.497558\pi\) | |||||||
\(180\) | −0.611920 | + | 5.82203i | −0.0456098 | + | 0.433949i | ||||
\(181\) | −0.437694 | + | 1.34708i | −0.0325335 | + | 0.100128i | −0.966005 | − | 0.258525i | \(-0.916764\pi\) |
0.933471 | + | 0.358653i | \(0.116764\pi\) | |||||||
\(182\) | −11.7082 | + | 10.1396i | −0.867870 | + | 0.751597i | ||||
\(183\) | 1.57295 | − | 4.84104i | 0.116276 | − | 0.357860i | ||||
\(184\) | −1.34486 | − | 0.598772i | −0.0991446 | − | 0.0441420i | ||||
\(185\) | 0.0892780 | + | 0.849423i | 0.00656385 | + | 0.0624508i | ||||
\(186\) | 2.74064 | − | 1.22021i | 0.200953 | − | 0.0894701i | ||||
\(187\) | −27.1398 | − | 12.0834i | −1.98466 | − | 0.883627i | ||||
\(188\) | −7.47214 | + | 5.42882i | −0.544962 | + | 0.395938i | ||||
\(189\) | 3.89783 | − | 8.31848i | 0.283525 | − | 0.605080i | ||||
\(190\) | 10.8541 | − | 7.88597i | 0.787439 | − | 0.572108i | ||||
\(191\) | −14.4011 | − | 6.41177i | −1.04202 | − | 0.463939i | −0.186909 | − | 0.982377i | \(-0.559847\pi\) |
−0.855115 | + | 0.518438i | \(0.826514\pi\) | |||||||
\(192\) | 0.413545 | + | 0.459289i | 0.0298451 | + | 0.0331463i | ||||
\(193\) | −11.8992 | + | 20.6100i | −0.856522 | + | 1.48354i | 0.0187034 | + | 0.999825i | \(0.494046\pi\) |
−0.875226 | + | 0.483715i | \(0.839287\pi\) | |||||||
\(194\) | −10.9905 | + | 2.33611i | −0.789074 | + | 0.167723i | ||||
\(195\) | −6.54508 | − | 4.75528i | −0.468703 | − | 0.340533i | ||||
\(196\) | 6.89813 | − | 1.18988i | 0.492724 | − | 0.0849911i | ||||
\(197\) | 7.37132 | + | 22.6866i | 0.525185 | + | 1.61635i | 0.763950 | + | 0.645276i | \(0.223258\pi\) |
−0.238765 | + | 0.971077i | \(0.576742\pi\) | |||||||
\(198\) | −1.05471 | + | 10.0349i | −0.0749550 | + | 0.713149i | ||||
\(199\) | 11.2082 | − | 19.4132i | 0.794529 | − | 1.37616i | −0.128610 | − | 0.991695i | \(-0.541051\pi\) |
0.923138 | − | 0.384468i | \(-0.125615\pi\) | |||||||
\(200\) | −3.34565 | − | 3.71572i | −0.236573 | − | 0.262741i | ||||
\(201\) | 0.309017 | + | 0.535233i | 0.0217964 | + | 0.0377524i | ||||
\(202\) | 3.80902 | + | 2.76741i | 0.268002 | + | 0.194714i | ||||
\(203\) | 8.04289 | − | 4.43870i | 0.564500 | − | 0.311536i | ||||
\(204\) | −1.47214 | − | 4.53077i | −0.103070 | − | 0.317217i | ||||
\(205\) | −19.1650 | − | 8.53281i | −1.33854 | − | 0.595957i | ||||
\(206\) | −1.97010 | − | 2.18802i | −0.137264 | − | 0.152447i | ||||
\(207\) | 1.92705 | − | 3.33775i | 0.133939 | − | 0.231990i | ||||
\(208\) | 5.72618 | − | 1.21714i | 0.397039 | − | 0.0843932i | ||||
\(209\) | 18.7082 | − | 13.5923i | 1.29407 | − | 0.940199i | ||||
\(210\) | 1.42238 | + | 3.36833i | 0.0981536 | + | 0.232437i | ||||
\(211\) | 8.30902 | + | 6.03685i | 0.572016 | + | 0.415594i | 0.835837 | − | 0.548978i | \(-0.184983\pi\) |
−0.263821 | + | 0.964572i | \(0.584983\pi\) | |||||||
\(212\) | −0.215659 | − | 0.0960175i | −0.0148115 | − | 0.00659451i | ||||
\(213\) | −1.03003 | − | 9.80012i | −0.0705768 | − | 0.671493i | ||||
\(214\) | 14.2169 | − | 6.32976i | 0.971845 | − | 0.432693i | ||||
\(215\) | 2.50000 | + | 4.33013i | 0.170499 | + | 0.295312i | ||||
\(216\) | −2.80902 | + | 2.04087i | −0.191129 | + | 0.138864i | ||||
\(217\) | −7.74803 | + | 10.2423i | −0.525970 | + | 0.695291i | ||||
\(218\) | 1.23607 | 0.0837171 | ||||||||
\(219\) | −3.25355 | + | 0.691564i | −0.219855 | + | 0.0467315i | ||||
\(220\) | −5.76659 | − | 6.40445i | −0.388783 | − | 0.431788i | ||||
\(221\) | −44.1385 | − | 9.38193i | −2.96908 | − | 0.631097i | ||||
\(222\) | −0.157960 | + | 0.175433i | −0.0106016 | + | 0.0117743i | ||||
\(223\) | −8.59017 | − | 6.24112i | −0.575240 | − | 0.417937i | 0.261765 | − | 0.965132i | \(-0.415696\pi\) |
−0.837005 | + | 0.547195i | \(0.815696\pi\) | |||||||
\(224\) | −2.50000 | − | 0.866025i | −0.167038 | − | 0.0578638i | ||||
\(225\) | 10.5902 | − | 7.69421i | 0.706011 | − | 0.512947i | ||||
\(226\) | 3.20820 | + | 5.55677i | 0.213407 | + | 0.369631i | ||||
\(227\) | −18.2200 | + | 8.11207i | −1.20930 | + | 0.538417i | −0.909548 | − | 0.415599i | \(-0.863572\pi\) |
−0.299756 | + | 0.954016i | \(0.596905\pi\) | |||||||
\(228\) | 3.62717 | + | 0.770979i | 0.240215 | + | 0.0510593i | ||||
\(229\) | 8.24786 | − | 9.16018i | 0.545034 | − | 0.605322i | −0.406203 | − | 0.913783i | \(-0.633147\pi\) |
0.951237 | + | 0.308461i | \(0.0998140\pi\) | |||||||
\(230\) | 1.01722 | + | 3.13068i | 0.0670736 | + | 0.206431i | ||||
\(231\) | 2.45162 | + | 5.80568i | 0.161305 | + | 0.381985i | ||||
\(232\) | −3.47214 | −0.227957 | ||||||||
\(233\) | 25.2683 | − | 5.37094i | 1.65538 | − | 0.351862i | 0.716896 | − | 0.697180i | \(-0.245562\pi\) |
0.938486 | + | 0.345318i | \(0.112229\pi\) | |||||||
\(234\) | 1.60203 | + | 15.2423i | 0.104728 | + | 0.996419i | ||||
\(235\) | 20.2012 | + | 4.29389i | 1.31778 | + | 0.280103i | ||||
\(236\) | 0.556743 | − | 5.29706i | 0.0362409 | − | 0.344809i | ||||
\(237\) | −4.47214 | + | 3.24920i | −0.290496 | + | 0.211058i | ||||
\(238\) | 14.8893 | + | 13.9364i | 0.965131 | + | 0.903362i | ||||
\(239\) | −4.59017 | − | 3.33495i | −0.296913 | − | 0.215720i | 0.429347 | − | 0.903139i | \(-0.358744\pi\) |
−0.726261 | + | 0.687419i | \(0.758744\pi\) | |||||||
\(240\) | 0.144455 | − | 1.37440i | 0.00932452 | − | 0.0887168i | ||||
\(241\) | 1.13456 | + | 10.7946i | 0.0730836 | + | 0.695344i | 0.968313 | + | 0.249739i | \(0.0803448\pi\) |
−0.895230 | + | 0.445605i | \(0.852989\pi\) | |||||||
\(242\) | −2.57890 | − | 2.86416i | −0.165778 | − | 0.184115i | ||||
\(243\) | −6.97214 | − | 12.0761i | −0.447263 | − | 0.774682i | ||||
\(244\) | 2.54508 | − | 7.83297i | 0.162932 | − | 0.501454i | ||||
\(245\) | −12.2984 | − | 9.68246i | −0.785714 | − | 0.618590i | ||||
\(246\) | −1.79180 | − | 5.51458i | −0.114241 | − | 0.351597i | ||||
\(247\) | 23.5030 | − | 26.1027i | 1.49546 | − | 1.66087i | ||||
\(248\) | 4.43444 | − | 1.97434i | 0.281587 | − | 0.125371i | ||||
\(249\) | 1.78115 | − | 3.08505i | 0.112876 | − | 0.195507i | ||||
\(250\) | −1.16866 | + | 11.1191i | −0.0739128 | + | 0.703233i | ||||
\(251\) | 31.1803 | 1.96809 | 0.984043 | − | 0.177932i | \(-0.0569407\pi\) | ||||
0.984043 | + | 0.177932i | \(0.0569407\pi\) | |||||||
\(252\) | 2.93901 | − | 6.27223i | 0.185140 | − | 0.395114i | ||||
\(253\) | 1.75329 | + | 5.39607i | 0.110228 | + | 0.339248i | ||||
\(254\) | −6.02218 | + | 6.68830i | −0.377865 | + | 0.419661i | ||||
\(255\) | −5.32624 | + | 9.22531i | −0.333542 | + | 0.577712i | ||||
\(256\) | 0.669131 | + | 0.743145i | 0.0418207 | + | 0.0464466i | ||||
\(257\) | 15.0172 | + | 26.0106i | 0.936749 | + | 1.62250i | 0.771486 | + | 0.636246i | \(0.219514\pi\) |
0.165263 | + | 0.986250i | \(0.447153\pi\) | |||||||
\(258\) | −0.427051 | + | 1.31433i | −0.0265870 | + | 0.0818265i | ||||
\(259\) | 0.229164 | − | 0.984261i | 0.0142396 | − | 0.0611590i | ||||
\(260\) | −10.5902 | − | 7.69421i | −0.656774 | − | 0.477175i | ||||
\(261\) | 0.950181 | − | 9.04037i | 0.0588148 | − | 0.559585i | ||||
\(262\) | −0.710624 | − | 6.76113i | −0.0439025 | − | 0.417704i | ||||
\(263\) | 0.344086 | + | 3.27376i | 0.0212173 | + | 0.201869i | 0.999995 | − | 0.00305429i | \(-0.000972211\pi\) |
−0.978778 | + | 0.204923i | \(0.934306\pi\) | |||||||
\(264\) | 0.248983 | − | 2.36892i | 0.0153239 | − | 0.145797i | ||||
\(265\) | 0.163119 | + | 0.502029i | 0.0100203 | + | 0.0308394i | ||||
\(266\) | −15.1895 | + | 4.61300i | −0.931327 | + | 0.282841i | ||||
\(267\) | −1.12868 | + | 3.47371i | −0.0690739 | + | 0.212588i | ||||
\(268\) | 0.500000 | + | 0.866025i | 0.0305424 | + | 0.0529009i | ||||
\(269\) | 12.2626 | + | 13.6190i | 0.747667 | + | 0.830368i | 0.990183 | − | 0.139779i | \(-0.0446393\pi\) |
−0.242516 | + | 0.970147i | \(0.577973\pi\) | |||||||
\(270\) | 7.59427 | + | 1.61421i | 0.462173 | + | 0.0982378i | ||||
\(271\) | 8.08990 | − | 8.98475i | 0.491427 | − | 0.545785i | −0.445513 | − | 0.895275i | \(-0.646979\pi\) |
0.936940 | + | 0.349491i | \(0.113645\pi\) | |||||||
\(272\) | −2.38197 | − | 7.33094i | −0.144428 | − | 0.444503i | ||||
\(273\) | 5.47591 | + | 7.85147i | 0.331417 | + | 0.475192i | ||||
\(274\) | −2.47214 | −0.149347 | ||||||||
\(275\) | −2.01432 | + | 19.1649i | −0.121468 | + | 1.15569i | ||||
\(276\) | −0.454915 | + | 0.787936i | −0.0273827 | + | 0.0474282i | ||||
\(277\) | 5.86168 | − | 2.60979i | 0.352194 | − | 0.156807i | −0.223011 | − | 0.974816i | \(-0.571589\pi\) |
0.575206 | + | 0.818009i | \(0.304922\pi\) | |||||||
\(278\) | −4.01478 | + | 4.45887i | −0.240791 | + | 0.267425i | ||||
\(279\) | 3.92705 | + | 12.0862i | 0.235106 | + | 0.723583i | ||||
\(280\) | 2.30146 | + | 5.45007i | 0.137539 | + | 0.325704i | ||||
\(281\) | 5.25329 | − | 16.1680i | 0.313385 | − | 0.964500i | −0.663029 | − | 0.748594i | \(-0.730729\pi\) |
0.976414 | − | 0.215906i | \(-0.0692705\pi\) | |||||||
\(282\) | 2.85410 | + | 4.94345i | 0.169959 | + | 0.294378i | ||||
\(283\) | 7.73669 | + | 8.59247i | 0.459899 | + | 0.510769i | 0.927834 | − | 0.372994i | \(-0.121669\pi\) |
−0.467935 | + | 0.883763i | \(0.655002\pi\) | |||||||
\(284\) | −1.66663 | − | 15.8569i | −0.0988963 | − | 0.940936i | ||||
\(285\) | −4.14590 | − | 7.18091i | −0.245582 | − | 0.425360i | ||||
\(286\) | −18.2533 | − | 13.2618i | −1.07934 | − | 0.784186i | ||||
\(287\) | 18.1224 | + | 16.9625i | 1.06973 | + | 1.00127i | ||||
\(288\) | −2.11803 | + | 1.53884i | −0.124806 | + | 0.0906771i | ||||
\(289\) | −4.43372 | + | 42.1840i | −0.260807 | + | 2.48141i | ||||
\(290\) | 5.19508 | + | 5.76973i | 0.305066 | + | 0.338810i | ||||
\(291\) | 0.725874 | + | 6.90623i | 0.0425515 | + | 0.404850i | ||||
\(292\) | −5.26436 | + | 1.11897i | −0.308073 | + | 0.0654830i | ||||
\(293\) | −1.09017 | −0.0636884 | −0.0318442 | − | 0.999493i | \(-0.510138\pi\) | ||||
−0.0318442 | + | 0.999493i | \(0.510138\pi\) | |||||||
\(294\) | −0.285721 | − | 4.31679i | −0.0166636 | − | 0.251760i | ||||
\(295\) | −9.63525 | + | 7.00042i | −0.560986 | + | 0.407580i | ||||
\(296\) | −0.255585 | + | 0.283856i | −0.0148556 | + | 0.0164988i | ||||
\(297\) | 13.0895 | + | 2.78227i | 0.759532 | + | 0.161444i | ||||
\(298\) | 4.35207 | − | 1.93767i | 0.252109 | − | 0.112246i | ||||
\(299\) | 4.30902 | + | 7.46344i | 0.249197 | + | 0.431622i | ||||
\(300\) | −2.50000 | + | 1.81636i | −0.144338 | + | 0.104867i | ||||
\(301\) | −1.11803 | − | 5.80948i | −0.0644424 | − | 0.334853i | ||||
\(302\) | 14.2533 | + | 10.3556i | 0.820185 | + | 0.595899i | ||||
\(303\) | 1.94706 | − | 2.16243i | 0.111855 | − | 0.124228i | ||||
\(304\) | 5.86889 | + | 1.24747i | 0.336604 | + | 0.0715473i | ||||
\(305\) | −16.8242 | + | 7.49063i | −0.963352 | + | 0.428912i | ||||
\(306\) | 19.7394 | − | 4.19573i | 1.12842 | − | 0.239854i | ||||
\(307\) | 13.1246 | 0.749061 | 0.374531 | − | 0.927215i | \(-0.377804\pi\) | ||||
0.374531 | + | 0.927215i | \(0.377804\pi\) | |||||||
\(308\) | 3.96681 | + | 9.39378i | 0.226030 | + | 0.535260i | ||||
\(309\) | −1.47214 | + | 1.06957i | −0.0837469 | + | 0.0608457i | ||||
\(310\) | −9.91572 | − | 4.41476i | −0.563175 | − | 0.250742i | ||||
\(311\) | 3.27377 | − | 1.45758i | 0.185639 | − | 0.0826517i | −0.311812 | − | 0.950144i | \(-0.600936\pi\) |
0.497451 | + | 0.867492i | \(0.334269\pi\) | |||||||
\(312\) | −0.378188 | − | 3.59821i | −0.0214107 | − | 0.203709i | ||||
\(313\) | −20.5293 | − | 9.14024i | −1.16039 | − | 0.516637i | −0.266017 | − | 0.963968i | \(-0.585708\pi\) |
−0.894368 | + | 0.447331i | \(0.852374\pi\) | |||||||
\(314\) | −1.11803 | − | 0.812299i | −0.0630943 | − | 0.0458407i | ||||
\(315\) | −14.8201 | + | 4.50083i | −0.835019 | + | 0.253593i | ||||
\(316\) | −7.23607 | + | 5.25731i | −0.407061 | + | 0.295747i | ||||
\(317\) | −25.1801 | + | 5.35220i | −1.41426 | + | 0.300609i | −0.850779 | − | 0.525523i | \(-0.823870\pi\) |
−0.563476 | + | 0.826132i | \(0.690536\pi\) | |||||||
\(318\) | −0.0729490 | + | 0.126351i | −0.00409078 | + | 0.00708543i | ||||
\(319\) | 8.95428 | + | 9.94474i | 0.501344 | + | 0.556798i | ||||
\(320\) | 0.233733 | − | 2.22382i | 0.0130661 | − | 0.124315i | ||||
\(321\) | −2.97214 | − | 9.14729i | −0.165888 | − | 0.510552i | ||||
\(322\) | 0.0752212 | − | 3.89418i | 0.00419191 | − | 0.217014i | ||||
\(323\) | −37.4164 | − | 27.1846i | −2.08190 | − | 1.51259i | ||||
\(324\) | −2.85410 | − | 4.94345i | −0.158561 | − | 0.274636i | ||||
\(325\) | 3.05960 | + | 29.1102i | 0.169716 | + | 1.61474i | ||||
\(326\) | −1.02786 | + | 1.78031i | −0.0569281 | + | 0.0986024i | ||||
\(327\) | 0.0798526 | − | 0.759747i | 0.00441586 | − | 0.0420141i | ||||
\(328\) | −2.89919 | − | 8.92278i | −0.160081 | − | 0.492678i | ||||
\(329\) | −20.9226 | − | 12.6246i | −1.15350 | − | 0.696016i | ||||
\(330\) | −4.30902 | + | 3.13068i | −0.237204 | + | 0.172338i | ||||
\(331\) | 27.8836 | − | 5.92685i | 1.53262 | − | 0.325769i | 0.637099 | − | 0.770782i | \(-0.280134\pi\) |
0.895524 | + | 0.445013i | \(0.146801\pi\) | |||||||
\(332\) | 2.88197 | − | 4.99171i | 0.158168 | − | 0.273956i | ||||
\(333\) | −0.669131 | − | 0.743145i | −0.0366681 | − | 0.0407241i | ||||
\(334\) | −0.133284 | − | 0.0593421i | −0.00729300 | − | 0.00324705i | ||||
\(335\) | 0.690983 | − | 2.12663i | 0.0377524 | − | 0.116190i | ||||
\(336\) | −0.693806 | + | 1.48067i | −0.0378502 | + | 0.0807774i | ||||
\(337\) | −18.3713 | + | 13.3475i | −1.00075 | + | 0.727087i | −0.962249 | − | 0.272171i | \(-0.912258\pi\) |
−0.0385009 | + | 0.999259i | \(0.512258\pi\) | |||||||
\(338\) | −19.4316 | − | 8.65150i | −1.05694 | − | 0.470579i | ||||
\(339\) | 3.62272 | − | 1.61294i | 0.196759 | − | 0.0876028i | ||||
\(340\) | −8.61803 | + | 14.9269i | −0.467379 | + | 0.809523i | ||||
\(341\) | −17.0908 | − | 7.60931i | −0.925518 | − | 0.412067i | ||||
\(342\) | −4.85410 | + | 14.9394i | −0.262480 | + | 0.807830i | ||||
\(343\) | 10.0000 | + | 15.5885i | 0.539949 | + | 0.841698i | ||||
\(344\) | −0.690983 | + | 2.12663i | −0.0372553 | + | 0.114660i | ||||
\(345\) | 1.98998 | − | 0.422984i | 0.107137 | − | 0.0227727i | ||||
\(346\) | −9.49606 | − | 2.01845i | −0.510511 | − | 0.108512i | ||||
\(347\) | 7.25434 | + | 1.54196i | 0.389433 | + | 0.0827766i | 0.398467 | − | 0.917183i | \(-0.369542\pi\) |
−0.00903380 | + | 0.999959i | \(0.502876\pi\) | |||||||
\(348\) | −0.224307 | + | 2.13414i | −0.0120241 | + | 0.114402i | ||||
\(349\) | 23.6180 | 1.26424 | 0.632122 | − | 0.774869i | \(-0.282184\pi\) | ||||
0.632122 | + | 0.774869i | \(0.282184\pi\) | |||||||
\(350\) | 5.61301 | − | 11.9789i | 0.300028 | − | 0.640299i | ||||
\(351\) | 20.3262 | 1.08493 | ||||||||
\(352\) | 0.402863 | − | 3.83299i | 0.0214727 | − | 0.204299i | ||||
\(353\) | 13.7278 | + | 2.91792i | 0.730655 | + | 0.155305i | 0.558193 | − | 0.829711i | \(-0.311495\pi\) |
0.172461 | + | 0.985016i | \(0.444828\pi\) | |||||||
\(354\) | −3.21986 | − | 0.684403i | −0.171134 | − | 0.0363756i | ||||
\(355\) | −23.8562 | + | 26.4950i | −1.26615 | + | 1.40621i | ||||
\(356\) | −1.82624 | + | 5.62058i | −0.0967904 | + | 0.297890i | ||||
\(357\) | 9.52786 | − | 8.25137i | 0.504268 | − | 0.436709i | ||||
\(358\) | 1.78115 | − | 5.48183i | 0.0941369 | − | 0.289723i | ||||
\(359\) | −1.61143 | − | 0.717456i | −0.0850481 | − | 0.0378659i | 0.363772 | − | 0.931488i | \(-0.381489\pi\) |
−0.448820 | + | 0.893622i | \(0.648156\pi\) | |||||||
\(360\) | 5.72618 | + | 1.21714i | 0.301796 | + | 0.0641487i | ||||
\(361\) | 15.5303 | − | 6.91452i | 0.817383 | − | 0.363922i | ||||
\(362\) | 1.29395 | + | 0.576105i | 0.0680087 | + | 0.0302794i | ||||
\(363\) | −1.92705 | + | 1.40008i | −0.101144 | + | 0.0734854i | ||||
\(364\) | 8.86022 | + | 12.7039i | 0.464401 | + | 0.665867i | ||||
\(365\) | 9.73607 | + | 7.07367i | 0.509609 | + | 0.370253i | ||||
\(366\) | −4.65010 | − | 2.07036i | −0.243065 | − | 0.108219i | ||||
\(367\) | −22.0440 | − | 24.4824i | −1.15069 | − | 1.27797i | −0.954769 | − | 0.297349i | \(-0.903897\pi\) |
−0.195920 | − | 0.980620i | \(-0.562769\pi\) | |||||||
\(368\) | −0.736068 | + | 1.27491i | −0.0383702 | + | 0.0664591i | ||||
\(369\) | 24.0256 | − | 5.10679i | 1.25072 | − | 0.265849i | ||||
\(370\) | 0.854102 | 0.0444026 | ||||||||
\(371\) | 0.0120623 | − | 0.624461i | 0.000626242 | − | 0.0324204i | ||||
\(372\) | −0.927051 | − | 2.85317i | −0.0480654 | − | 0.147930i | ||||
\(373\) | 0.172731 | − | 1.64342i | 0.00894366 | − | 0.0850932i | −0.989140 | − | 0.146979i | \(-0.953045\pi\) |
0.998083 | + | 0.0618861i | \(0.0197116\pi\) | |||||||
\(374\) | −14.8541 | + | 25.7281i | −0.768087 | + | 1.33037i | ||||
\(375\) | 6.75883 | + | 1.43663i | 0.349025 | + | 0.0741875i | ||||
\(376\) | 4.61803 | + | 7.99867i | 0.238157 | + | 0.412500i | ||||
\(377\) | 16.4443 | + | 11.9475i | 0.846923 | + | 0.615326i | ||||
\(378\) | −7.86547 | − | 4.74599i | −0.404556 | − | 0.244108i | ||||
\(379\) | −1.87132 | − | 5.75934i | −0.0961234 | − | 0.295837i | 0.891421 | − | 0.453175i | \(-0.149709\pi\) |
−0.987545 | + | 0.157338i | \(0.949709\pi\) | |||||||
\(380\) | −6.70820 | − | 11.6190i | −0.344124 | − | 0.596040i | ||||
\(381\) | 3.72191 | + | 4.13360i | 0.190679 | + | 0.211771i | ||||
\(382\) | −7.88197 | + | 13.6520i | −0.403276 | + | 0.698495i | ||||
\(383\) | −19.5630 | + | 4.15823i | −0.999620 | + | 0.212476i | −0.678530 | − | 0.734573i | \(-0.737383\pi\) |
−0.321090 | + | 0.947049i | \(0.604049\pi\) | |||||||
\(384\) | 0.500000 | − | 0.363271i | 0.0255155 | − | 0.0185381i | ||||
\(385\) | 9.67463 | − | 20.6469i | 0.493065 | − | 1.05226i | ||||
\(386\) | 19.2533 | + | 13.9883i | 0.979967 | + | 0.711987i | ||||
\(387\) | −5.34799 | − | 2.38108i | −0.271854 | − | 0.121037i | ||||
\(388\) | 1.17449 | + | 11.1745i | 0.0596256 | + | 0.567300i | ||||
\(389\) | −6.47719 | + | 2.88383i | −0.328407 | + | 0.146216i | −0.564316 | − | 0.825559i | \(-0.690860\pi\) |
0.235909 | + | 0.971775i | \(0.424193\pi\) | |||||||
\(390\) | −5.41338 | + | 6.01217i | −0.274117 | + | 0.304438i | ||||
\(391\) | 9.18034 | − | 6.66991i | 0.464270 | − | 0.337312i | ||||
\(392\) | −0.462307 | − | 6.98472i | −0.0233500 | − | 0.352781i | ||||
\(393\) | −4.20163 | −0.211944 | ||||||||
\(394\) | 23.3328 | − | 4.95955i | 1.17549 | − | 0.249858i | ||||
\(395\) | 19.5630 | + | 4.15823i | 0.984319 | + | 0.209223i | ||||
\(396\) | 9.86968 | + | 2.09786i | 0.495970 | + | 0.105422i | ||||
\(397\) | −14.4510 | + | 16.0495i | −0.725277 | + | 0.805502i | −0.987183 | − | 0.159592i | \(-0.948982\pi\) |
0.261906 | + | 0.965093i | \(0.415649\pi\) | |||||||
\(398\) | −18.1353 | − | 13.1760i | −0.909038 | − | 0.660455i | ||||
\(399\) | 1.85410 | + | 9.63420i | 0.0928212 | + | 0.482313i | ||||
\(400\) | −4.04508 | + | 2.93893i | −0.202254 | + | 0.146946i | ||||
\(401\) | −10.2361 | − | 17.7294i | −0.511165 | − | 0.885363i | −0.999916 | − | 0.0129404i | \(-0.995881\pi\) |
0.488751 | − | 0.872423i | \(-0.337453\pi\) | |||||||
\(402\) | 0.564602 | − | 0.251377i | 0.0281598 | − | 0.0125375i | ||||
\(403\) | −27.7954 | − | 5.90810i | −1.38459 | − | 0.294304i | ||||
\(404\) | 3.15040 | − | 3.49888i | 0.156738 | − | 0.174076i | ||||
\(405\) | −3.94427 | + | 12.1392i | −0.195992 | + | 0.603203i | ||||
\(406\) | −3.57368 | − | 8.46280i | −0.177359 | − | 0.420002i | ||||
\(407\) | 1.47214 | 0.0729711 | ||||||||
\(408\) | −4.65983 | + | 0.990477i | −0.230696 | + | 0.0490359i | ||||
\(409\) | 0.153880 | + | 1.46407i | 0.00760888 | + | 0.0723937i | 0.997667 | − | 0.0682624i | \(-0.0217455\pi\) |
−0.990059 | + | 0.140656i | \(0.955079\pi\) | |||||||
\(410\) | −10.4894 | + | 18.1681i | −0.518032 | + | 0.897258i | ||||
\(411\) | −0.159705 | + | 1.51949i | −0.00787768 | + | 0.0749511i | ||||
\(412\) | −2.38197 | + | 1.73060i | −0.117351 | + | 0.0852605i | ||||
\(413\) | 13.4838 | − | 4.09499i | 0.663494 | − | 0.201501i | ||||
\(414\) | −3.11803 | − | 2.26538i | −0.153243 | − | 0.111338i | ||||
\(415\) | −12.6069 | + | 2.67968i | −0.618848 | + | 0.131540i | ||||
\(416\) | −0.611920 | − | 5.82203i | −0.0300019 | − | 0.285449i | ||||
\(417\) | 2.48127 | + | 2.75573i | 0.121508 | + | 0.134949i | ||||
\(418\) | −11.5623 | − | 20.0265i | −0.565531 | − | 0.979528i | ||||
\(419\) | −3.78115 | + | 11.6372i | −0.184721 | + | 0.568514i | −0.999943 | − | 0.0106345i | \(-0.996615\pi\) |
0.815222 | + | 0.579149i | \(0.196615\pi\) | |||||||
\(420\) | 3.49856 | − | 1.06250i | 0.170712 | − | 0.0518448i | ||||
\(421\) | 7.44427 | + | 22.9111i | 0.362812 | + | 1.11662i | 0.951340 | + | 0.308143i | \(0.0997075\pi\) |
−0.588528 | + | 0.808476i | \(0.700293\pi\) | |||||||
\(422\) | 6.87231 | − | 7.63248i | 0.334539 | − | 0.371543i | ||||
\(423\) | −22.0898 | + | 9.83503i | −1.07404 | + | 0.478196i | ||||
\(424\) | −0.118034 | + | 0.204441i | −0.00573224 | + | 0.00992853i | ||||
\(425\) | 37.6988 | − | 8.01313i | 1.82866 | − | 0.388694i | ||||
\(426\) | −9.85410 | −0.477433 | ||||||||
\(427\) | 21.7112 | − | 1.85878i | 1.05068 | − | 0.0899528i | ||||
\(428\) | −4.80902 | − | 14.8006i | −0.232453 | − | 0.715416i | ||||
\(429\) | −9.33054 | + | 10.3626i | −0.450483 | + | 0.500312i | ||||
\(430\) | 4.56773 | − | 2.03368i | 0.220275 | − | 0.0980729i | ||||
\(431\) | −18.0896 | − | 20.0905i | −0.871344 | − | 0.967726i | 0.128368 | − | 0.991727i | \(-0.459026\pi\) |
−0.999712 | + | 0.0240010i | \(0.992360\pi\) | |||||||
\(432\) | 1.73607 | + | 3.00696i | 0.0835266 | + | 0.144672i | ||||
\(433\) | 7.01722 | − | 21.5968i | 0.337226 | − | 1.03788i | −0.628389 | − | 0.777899i | \(-0.716285\pi\) |
0.965615 | − | 0.259976i | \(-0.0837146\pi\) | |||||||
\(434\) | 9.37628 | + | 8.77619i | 0.450076 | + | 0.421271i | ||||
\(435\) | 3.88197 | − | 2.82041i | 0.186126 | − | 0.135228i | ||||
\(436\) | 0.129204 | − | 1.22930i | 0.00618776 | − | 0.0588726i | ||||
\(437\) | 0.923281 | + | 8.78443i | 0.0441665 | + | 0.420216i | ||||
\(438\) | 0.347687 | + | 3.30802i | 0.0166131 | + | 0.158063i | ||||
\(439\) | −0.412289 | + | 3.92266i | −0.0196775 | + | 0.187219i | −0.999945 | − | 0.0104551i | \(-0.996672\pi\) |
0.980268 | + | 0.197674i | \(0.0633386\pi\) | |||||||
\(440\) | −6.97214 | + | 5.06555i | −0.332384 | + | 0.241491i | ||||
\(441\) | 18.3126 | + | 0.707726i | 0.872027 | + | 0.0337013i | ||||
\(442\) | −13.9443 | + | 42.9161i | −0.663261 | + | 2.04131i | ||||
\(443\) | −1.57295 | − | 2.72443i | −0.0747331 | − | 0.129441i | 0.826237 | − | 0.563323i | \(-0.190477\pi\) |
−0.900970 | + | 0.433881i | \(0.857144\pi\) | |||||||
\(444\) | 0.157960 | + | 0.175433i | 0.00749646 | + | 0.00832567i | ||||
\(445\) | 12.0723 | − | 5.37494i | 0.572282 | − | 0.254796i | ||||
\(446\) | −7.10485 | + | 7.89074i | −0.336424 | + | 0.373637i | ||||
\(447\) | −0.909830 | − | 2.80017i | −0.0430335 | − | 0.132443i | ||||
\(448\) | −1.12260 | + | 2.39578i | −0.0530380 | + | 0.113190i | ||||
\(449\) | 4.96556 | 0.234339 | 0.117170 | − | 0.993112i | \(-0.462618\pi\) | ||||
0.117170 | + | 0.993112i | \(0.462618\pi\) | |||||||
\(450\) | −6.54508 | − | 11.3364i | −0.308538 | − | 0.534404i | ||||
\(451\) | −18.0795 | + | 31.3147i | −0.851332 | + | 1.47455i | ||||
\(452\) | 5.86168 | − | 2.60979i | 0.275710 | − | 0.122754i | ||||
\(453\) | 7.28586 | − | 8.09176i | 0.342319 | − | 0.380184i | ||||
\(454\) | 6.16312 | + | 18.9681i | 0.289250 | + | 0.890218i | ||||
\(455\) | 7.85358 | − | 33.7311i | 0.368181 | − | 1.58134i | ||||
\(456\) | 1.14590 | − | 3.52671i | 0.0536616 | − | 0.165153i | ||||
\(457\) | 5.38197 | + | 9.32184i | 0.251758 | + | 0.436057i | 0.964010 | − | 0.265867i | \(-0.0856580\pi\) |
−0.712252 | + | 0.701924i | \(0.752325\pi\) | |||||||
\(458\) | −8.24786 | − | 9.16018i | −0.385397 | − | 0.428027i | ||||
\(459\) | −2.79759 | − | 26.6173i | −0.130580 | − | 1.24239i | ||||
\(460\) | 3.21986 | − | 0.684403i | 0.150127 | − | 0.0319104i | ||||
\(461\) | −28.3713 | − | 20.6130i | −1.32138 | − | 0.960042i | −0.999914 | − | 0.0131222i | \(-0.995823\pi\) |
−0.321470 | − | 0.946920i | \(-0.604177\pi\) | |||||||
\(462\) | 6.03014 | − | 1.83134i | 0.280547 | − | 0.0852015i | ||||
\(463\) | −9.51722 | + | 6.91467i | −0.442303 | + | 0.321352i | −0.786549 | − | 0.617528i | \(-0.788134\pi\) |
0.344246 | + | 0.938879i | \(0.388134\pi\) | |||||||
\(464\) | −0.362937 | + | 3.45312i | −0.0168489 | + | 0.160307i | ||||
\(465\) | −3.35410 | + | 5.80948i | −0.155543 | + | 0.269408i | ||||
\(466\) | −2.70026 | − | 25.6913i | −0.125087 | − | 1.19013i | ||||
\(467\) | 4.85705 | − | 1.03240i | 0.224757 | − | 0.0477737i | −0.0941563 | − | 0.995557i | \(-0.530015\pi\) |
0.318914 | + | 0.947784i | \(0.396682\pi\) | |||||||
\(468\) | 15.3262 | 0.708456 | ||||||||
\(469\) | −1.59618 | + | 2.11002i | −0.0737048 | + | 0.0974319i | ||||
\(470\) | 6.38197 | − | 19.6417i | 0.294378 | − | 0.906003i | ||||
\(471\) | −0.571506 | + | 0.634721i | −0.0263336 | + | 0.0292464i | ||||
\(472\) | −5.20985 | − | 1.10739i | −0.239803 | − | 0.0509716i | ||||
\(473\) | 7.87297 | − | 3.50527i | 0.361999 | − | 0.161172i | ||||
\(474\) | 2.76393 | + | 4.78727i | 0.126952 | + | 0.219887i | ||||
\(475\) | −9.27051 | + | 28.5317i | −0.425360 | + | 1.30912i | ||||
\(476\) | 15.4164 | − | 13.3510i | 0.706610 | − | 0.611942i | ||||
\(477\) | −0.500000 | − | 0.363271i | −0.0228934 | − | 0.0166330i | ||||
\(478\) | −3.79649 | + | 4.21643i | −0.173647 | + | 0.192855i | ||||
\(479\) | −5.58347 | − | 1.18680i | −0.255115 | − | 0.0542264i | 0.0785787 | − | 0.996908i | \(-0.474962\pi\) |
−0.333694 | + | 0.942682i | \(0.608295\pi\) | |||||||
\(480\) | −1.35177 | − | 0.287327i | −0.0616994 | − | 0.0131146i | ||||
\(481\) | 2.18720 | − | 0.464905i | 0.0997279 | − | 0.0211978i | ||||
\(482\) | 10.8541 | 0.494391 | ||||||||
\(483\) | −2.38869 | − | 0.297807i | −0.108689 | − | 0.0135507i | ||||
\(484\) | −3.11803 | + | 2.26538i | −0.141729 | + | 0.102972i | ||||
\(485\) | 16.8116 | − | 18.6712i | 0.763378 | − | 0.847817i | ||||
\(486\) | −12.7387 | + | 5.67165i | −0.577840 | + | 0.257271i | ||||
\(487\) | −4.24352 | − | 40.3744i | −0.192292 | − | 1.82954i | −0.486367 | − | 0.873754i | \(-0.661678\pi\) |
0.294075 | − | 0.955782i | \(-0.404988\pi\) | |||||||
\(488\) | −7.52402 | − | 3.34991i | −0.340596 | − | 0.151643i | ||||
\(489\) | 1.02786 | + | 0.746787i | 0.0464816 | + | 0.0337709i | ||||
\(490\) | −10.9149 | + | 11.2189i | −0.493087 | + | 0.506819i | ||||
\(491\) | 17.1074 | − | 12.4292i | 0.772046 | − | 0.560924i | −0.130536 | − | 0.991444i | \(-0.541670\pi\) |
0.902581 | + | 0.430520i | \(0.141670\pi\) | |||||||
\(492\) | −5.67167 | + | 1.20555i | −0.255698 | + | 0.0543504i | ||||
\(493\) | 13.3820 | − | 23.1782i | 0.602693 | − | 1.04390i | ||||
\(494\) | −23.5030 | − | 26.1027i | −1.05745 | − | 1.17441i | ||||
\(495\) | −11.2812 | − | 19.5395i | −0.507050 | − | 0.878237i | ||||
\(496\) | −1.50000 | − | 4.61653i | −0.0673520 | − | 0.207288i | ||||
\(497\) | 36.9335 | − | 20.3828i | 1.65669 | − | 0.914294i | ||||
\(498\) | −2.88197 | − | 2.09387i | −0.129144 | − | 0.0938286i | ||||
\(499\) | −6.00000 | − | 10.3923i | −0.268597 | − | 0.465223i | 0.699903 | − | 0.714238i | \(-0.253227\pi\) |
−0.968500 | + | 0.249015i | \(0.919893\pi\) | |||||||
\(500\) | 10.9360 | + | 2.32452i | 0.489074 | + | 0.103956i | ||||
\(501\) | −0.0450850 | + | 0.0780895i | −0.00201425 | + | 0.00348878i | ||||
\(502\) | 3.25923 | − | 31.0095i | 0.145467 | − | 1.38402i | ||||
\(503\) | −5.70820 | − | 17.5680i | −0.254516 | − | 0.783320i | −0.993925 | − | 0.110063i | \(-0.964895\pi\) |
0.739408 | − | 0.673257i | \(-0.235105\pi\) | |||||||
\(504\) | −5.93066 | − | 3.57854i | −0.264173 | − | 0.159401i | ||||
\(505\) | −10.5279 | −0.468484 | ||||||||
\(506\) | 5.54978 | − | 1.17964i | 0.246718 | − | 0.0524415i | ||||
\(507\) | −6.57295 | + | 11.3847i | −0.291915 | + | 0.505611i | ||||
\(508\) | 6.02218 | + | 6.68830i | 0.267191 | + | 0.296745i | ||||
\(509\) | −5.03051 | − | 2.23973i | −0.222973 | − | 0.0992742i | 0.292210 | − | 0.956354i | \(-0.405609\pi\) |
−0.515183 | + | 0.857080i | \(0.672276\pi\) | |||||||
\(510\) | 8.61803 | + | 6.26137i | 0.381613 | + | 0.277258i | ||||
\(511\) | −8.14564 | − | 11.6794i | −0.360342 | − | 0.516665i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | 19.0317 | + | 8.47347i | 0.840271 | + | 0.374113i | ||||
\(514\) | 27.4378 | − | 12.2161i | 1.21023 | − | 0.538829i | ||||
\(515\) | 6.43972 | + | 1.36881i | 0.283768 | + | 0.0603168i | ||||
\(516\) | 1.26249 | + | 0.562096i | 0.0555780 | + | 0.0247449i | ||||
\(517\) | 11.0000 | − | 33.8545i | 0.483779 | − | 1.48892i | ||||
\(518\) | −0.954915 | − | 0.330792i | −0.0419566 | − | 0.0145342i | ||||
\(519\) | −1.85410 | + | 5.70634i | −0.0813860 | + | 0.250480i | ||||
\(520\) | −8.75903 | + | 9.72789i | −0.384109 | + | 0.426596i | ||||
\(521\) | 20.1675 | + | 4.28673i | 0.883553 | + | 0.187805i | 0.627275 | − | 0.778798i | \(-0.284170\pi\) |
0.256278 | + | 0.966603i | \(0.417504\pi\) | |||||||
\(522\) | −8.89153 | − | 1.88995i | −0.389172 | − | 0.0827210i | ||||
\(523\) | −1.10046 | + | 10.4702i | −0.0481198 | + | 0.457829i | 0.943758 | + | 0.330637i | \(0.107263\pi\) |
−0.991878 | + | 0.127193i | \(0.959403\pi\) | |||||||
\(524\) | −6.79837 | −0.296988 | ||||||||
\(525\) | −7.00020 | − | 4.22389i | −0.305514 | − | 0.184346i | ||||
\(526\) | 3.29180 | 0.143529 | ||||||||
\(527\) | −3.91108 | + | 37.2114i | −0.170369 | + | 1.62096i | ||||
\(528\) | −2.32991 | − | 0.495239i | −0.101397 | − | 0.0215525i | ||||
\(529\) | 20.3776 | + | 4.33139i | 0.885981 | + | 0.188321i | ||||
\(530\) | 0.516329 | − | 0.109749i | 0.0224279 | − | 0.00476720i | ||||
\(531\) | 4.30902 | − | 13.2618i | 0.186995 | − | 0.575513i | ||||
\(532\) | 3.00000 | + | 15.5885i | 0.130066 | + | 0.675845i | ||||
\(533\) | −16.9721 | + | 52.2349i | −0.735145 | + | 2.26254i | ||||
\(534\) | 3.33670 | + | 1.48560i | 0.144393 | + | 0.0642880i | ||||
\(535\) | −17.3992 | + | 30.1363i | −0.752232 | + | 1.30290i | ||||
\(536\) | 0.913545 | − | 0.406737i | 0.0394592 | − | 0.0175683i | ||||
\(537\) | −3.25433 | − | 1.44892i | −0.140435 | − | 0.0625255i | ||||
\(538\) | 14.8262 | − | 10.7719i | 0.639205 | − | 0.464409i | ||||
\(539\) | −18.8131 | + | 19.3370i | −0.810337 | + | 0.832903i | ||||
\(540\) | 2.39919 | − | 7.38394i | 0.103245 | − | 0.317754i | ||||
\(541\) | −22.1407 | − | 9.85770i | −0.951905 | − | 0.423815i | −0.128779 | − | 0.991673i | \(-0.541106\pi\) |
−0.823127 | + | 0.567858i | \(0.807772\pi\) | |||||||
\(542\) | −8.08990 | − | 8.98475i | −0.347491 | − | 0.385928i | ||||
\(543\) | 0.437694 | − | 0.758108i | 0.0187833 | − | 0.0325335i | ||||
\(544\) | −7.53976 | + | 1.60263i | −0.323265 | + | 0.0687120i | ||||
\(545\) | −2.23607 | + | 1.62460i | −0.0957826 | + | 0.0695902i | ||||
\(546\) | 8.38085 | − | 4.62521i | 0.358667 | − | 0.197941i | ||||
\(547\) | −3.50658 | − | 10.7921i | −0.149930 | − | 0.461438i | 0.847682 | − | 0.530505i | \(-0.177998\pi\) |
−0.997612 | + | 0.0690669i | \(0.977998\pi\) | |||||||
\(548\) | −0.258409 | + | 2.45859i | −0.0110387 | + | 0.105026i | ||||
\(549\) | 10.7812 | − | 18.6735i | 0.460128 | − | 0.796966i | ||||
\(550\) | 18.8494 | + | 4.00656i | 0.803741 | + | 0.170840i | ||||
\(551\) | 10.4164 | + | 18.0417i | 0.443754 | + | 0.768604i | ||||
\(552\) | 0.736068 | + | 0.534785i | 0.0313291 | + | 0.0227619i | ||||
\(553\) | −20.2616 | − | 12.2257i | −0.861610 | − | 0.519892i | ||||
\(554\) | −1.98278 | − | 6.10237i | −0.0842402 | − | 0.259265i | ||||
\(555\) | 0.0551768 | − | 0.524972i | 0.00234213 | − | 0.0222838i | ||||
\(556\) | 4.01478 | + | 4.45887i | 0.170265 | + | 0.189098i | ||||
\(557\) | −2.90983 | + | 5.03997i | −0.123293 | + | 0.213551i | −0.921065 | − | 0.389410i | \(-0.872679\pi\) |
0.797771 | + | 0.602960i | \(0.206012\pi\) | |||||||
\(558\) | 12.4305 | − | 2.64218i | 0.526225 | − | 0.111853i | ||||
\(559\) | 10.5902 | − | 7.69421i | 0.447916 | − | 0.325430i | ||||
\(560\) | 5.66078 | − | 1.71916i | 0.239212 | − | 0.0726480i | ||||
\(561\) | 14.8541 | + | 10.7921i | 0.627141 | + | 0.455644i | ||||
\(562\) | −15.5303 | − | 6.91452i | −0.655105 | − | 0.291672i | ||||
\(563\) | 0.429764 | + | 4.08893i | 0.0181124 | + | 0.172328i | 0.999839 | − | 0.0179714i | \(-0.00572079\pi\) |
−0.981726 | + | 0.190299i | \(0.939054\pi\) | |||||||
\(564\) | 5.21470 | − | 2.32174i | 0.219579 | − | 0.0977627i | ||||
\(565\) | −13.1071 | − | 5.83566i | −0.551420 | − | 0.245508i | ||||
\(566\) | 9.35410 | − | 6.79615i | 0.393182 | − | 0.285664i | ||||
\(567\) | 9.11133 | − | 12.0445i | 0.382640 | − | 0.505819i | ||||
\(568\) | −15.9443 | −0.669007 | ||||||||
\(569\) | −25.6964 | + | 5.46195i | −1.07725 | + | 0.228977i | −0.712176 | − | 0.702001i | \(-0.752290\pi\) |
−0.365075 | + | 0.930978i | \(0.618957\pi\) | |||||||
\(570\) | −7.57493 | + | 3.37258i | −0.317279 | + | 0.141262i | ||||
\(571\) | 9.90336 | + | 2.10503i | 0.414443 | + | 0.0880926i | 0.410414 | − | 0.911899i | \(-0.365384\pi\) |
0.00402895 | + | 0.999992i | \(0.498718\pi\) | |||||||
\(572\) | −15.0971 | + | 16.7671i | −0.631243 | + | 0.701066i | ||||
\(573\) | 7.88197 | + | 5.72658i | 0.329274 | + | 0.239231i | ||||
\(574\) | 18.7639 | − | 16.2500i | 0.783191 | − | 0.678264i | ||||
\(575\) | −5.95492 | − | 4.32650i | −0.248337 | − | 0.180427i | ||||
\(576\) | 1.30902 | + | 2.26728i | 0.0545424 | + | 0.0944702i | ||||
\(577\) | −7.09270 | + | 3.15788i | −0.295273 | + | 0.131464i | −0.549027 | − | 0.835805i | \(-0.685001\pi\) |
0.253753 | + | 0.967269i | \(0.418335\pi\) | |||||||
\(578\) | 41.4895 | + | 8.81887i | 1.72574 | + | 0.366817i | ||||
\(579\) | 9.84171 | − | 10.9303i | 0.409007 | − | 0.454249i | ||||
\(580\) | 6.28115 | − | 4.56352i | 0.260811 | − | 0.189490i | ||||
\(581\) | 15.1328 | + | 1.88666i | 0.627813 | + | 0.0782718i | ||||
\(582\) | 6.94427 | 0.287849 | ||||||||
\(583\) | 0.889948 | − | 0.189164i | 0.0368579 | − | 0.00783439i | ||||
\(584\) | 0.562569 | + | 5.35248i | 0.0232793 | + | 0.221487i | ||||
\(585\) | −22.9314 | − | 25.4680i | −0.948099 | − | 1.05297i | ||||
\(586\) | −0.113954 | + | 1.08420i | −0.00470739 | + | 0.0447878i | ||||
\(587\) | 12.2082 | − | 8.86978i | 0.503887 | − | 0.366095i | −0.306613 | − | 0.951834i | \(-0.599196\pi\) |
0.810500 | + | 0.585739i | \(0.199196\pi\) | |||||||
\(588\) | −4.32301 | − | 0.167072i | −0.178278 | − | 0.00688991i | ||||
\(589\) | −23.5623 | − | 17.1190i | −0.970868 | − | 0.705377i | ||||
\(590\) | 5.95492 | + | 10.3142i | 0.245160 | + | 0.424630i | ||||
\(591\) | −1.54103 | − | 14.6619i | −0.0633893 | − | 0.603109i | ||||
\(592\) | 0.255585 | + | 0.283856i | 0.0105045 | + | 0.0116664i | ||||
\(593\) | −1.55573 | − | 2.69460i | −0.0638861 | − | 0.110654i | 0.832313 | − | 0.554306i | \(-0.187016\pi\) |
−0.896199 | + | 0.443652i | \(0.853683\pi\) | |||||||
\(594\) | 4.13525 | − | 12.7270i | 0.169672 | − | 0.522195i | ||||
\(595\) | −45.2520 | − | 5.64173i | −1.85515 | − | 0.231289i | ||||
\(596\) | −1.47214 | − | 4.53077i | −0.0603010 | − | 0.185588i | ||||
\(597\) | −9.27020 | + | 10.2956i | −0.379404 | + | 0.421371i | ||||
\(598\) | 7.87297 | − | 3.50527i | 0.321950 | − | 0.143341i | ||||
\(599\) | −2.05573 | + | 3.56063i | −0.0839948 | + | 0.145483i | −0.904962 | − | 0.425491i | \(-0.860101\pi\) |
0.820968 | + | 0.570975i | \(0.193435\pi\) | |||||||
\(600\) | 1.54508 | + | 2.67617i | 0.0630778 | + | 0.109254i | ||||
\(601\) | 2.85410 | 0.116421 | 0.0582106 | − | 0.998304i | \(-0.481461\pi\) | ||||
0.0582106 | + | 0.998304i | \(0.481461\pi\) | |||||||
\(602\) | −5.89452 | + | 0.504654i | −0.240243 | + | 0.0205682i | ||||
\(603\) | 0.809017 | + | 2.48990i | 0.0329457 | + | 0.101396i | ||||
\(604\) | 11.7888 | − | 13.0928i | 0.479678 | − | 0.532736i | ||||
\(605\) | 8.42971 | + | 1.79179i | 0.342716 | + | 0.0728466i | ||||
\(606\) | −1.94706 | − | 2.16243i | −0.0790938 | − | 0.0878425i | ||||
\(607\) | 5.39919 | + | 9.35167i | 0.219146 | + | 0.379572i | 0.954547 | − | 0.298060i | \(-0.0963395\pi\) |
−0.735401 | + | 0.677632i | \(0.763006\pi\) | |||||||
\(608\) | 1.85410 | − | 5.70634i | 0.0751938 | − | 0.231423i | ||||
\(609\) | −5.43251 | + | 1.64984i | −0.220136 | + | 0.0668549i | ||||
\(610\) | 5.69098 | + | 17.5150i | 0.230421 | + | 0.709163i | ||||
\(611\) | 5.65174 | − | 53.7727i | 0.228645 | − | 2.17541i | ||||
\(612\) | −2.10942 | − | 20.0698i | −0.0852682 | − | 0.811273i | ||||
\(613\) | −1.35887 | − | 12.9288i | −0.0548842 | − | 0.522189i | −0.987079 | − | 0.160232i | \(-0.948776\pi\) |
0.932195 | − | 0.361956i | \(-0.117891\pi\) | |||||||
\(614\) | 1.37190 | − | 13.0527i | 0.0553652 | − | 0.526765i | ||||
\(615\) | 10.4894 | + | 7.62096i | 0.422972 | + | 0.307307i | ||||
\(616\) | 9.75697 | − | 2.96316i | 0.393119 | − | 0.119389i | ||||
\(617\) | −9.12461 | + | 28.0827i | −0.367343 | + | 1.13057i | 0.581158 | + | 0.813791i | \(0.302600\pi\) |
−0.948501 | + | 0.316775i | \(0.897400\pi\) | |||||||
\(618\) | 0.909830 | + | 1.57587i | 0.0365987 | + | 0.0633909i | ||||
\(619\) | 21.9091 | + | 24.3325i | 0.880601 | + | 0.978007i | 0.999890 | − | 0.0148528i | \(-0.00472796\pi\) |
−0.119288 | + | 0.992860i | \(0.538061\pi\) | |||||||
\(620\) | −5.42705 | + | 9.39993i | −0.217956 | + | 0.377510i | ||||
\(621\) | −3.42023 | + | 3.79855i | −0.137249 | + | 0.152431i | ||||
\(622\) | −1.10739 | − | 3.40820i | −0.0444023 | − | 0.136656i | ||||
\(623\) | −15.5789 | + | 1.33378i | −0.624157 | + | 0.0534367i | ||||
\(624\) | −3.61803 | −0.144837 | ||||||||
\(625\) | −12.5000 | − | 21.6506i | −0.500000 | − | 0.866025i | ||||
\(626\) | −11.2361 | + | 19.4614i | −0.449084 | + | 0.777836i | ||||
\(627\) | −13.0562 | + | 5.81300i | −0.521415 | + | 0.232149i | ||||
\(628\) | −0.924716 | + | 1.02700i | −0.0369002 | + | 0.0409818i | ||||
\(629\) | −0.909830 | − | 2.80017i | −0.0362773 | − | 0.111650i | ||||
\(630\) | 2.92705 | + | 15.2094i | 0.116617 | + | 0.605957i | ||||
\(631\) | −8.10081 | + | 24.9317i | −0.322488 | + | 0.992517i | 0.650073 | + | 0.759871i | \(0.274738\pi\) |
−0.972562 | + | 0.232645i | \(0.925262\pi\) | |||||||
\(632\) | 4.47214 | + | 7.74597i | 0.177892 | + | 0.308118i | ||||
\(633\) | −4.24732 | − | 4.71713i | −0.168816 | − | 0.187489i | ||||
\(634\) | 2.69084 | + | 25.6016i | 0.106867 | + | 1.01677i | ||||
\(635\) | 2.10359 | − | 20.0144i | 0.0834786 | − | 0.794246i | ||||
\(636\) | 0.118034 | + | 0.0857567i | 0.00468035 | + | 0.00340047i | ||||
\(637\) | −21.8446 | + | 34.6709i | −0.865514 | + | 1.37371i | ||||
\(638\) | 10.8262 | − | 7.86572i | 0.428615 | − | 0.311407i | ||||
\(639\) | 4.36329 | − | 41.5140i | 0.172609 | − | 1.64227i | ||||
\(640\) | −2.18720 | − | 0.464905i | −0.0864569 | − | 0.0183770i | ||||
\(641\) | 1.47060 | + | 13.9918i | 0.0580852 | + | 0.552643i | 0.984406 | + | 0.175909i | \(0.0562864\pi\) |
−0.926321 | + | 0.376734i | \(0.877047\pi\) | |||||||
\(642\) | −9.40786 | + | 1.99970i | −0.371298 | + | 0.0789219i | ||||
\(643\) | −11.9443 | −0.471036 | −0.235518 | − | 0.971870i | \(-0.575679\pi\) | ||||
−0.235518 | + | 0.971870i | \(0.575679\pi\) | |||||||
\(644\) | −3.86498 | − | 0.481862i | −0.152302 | − | 0.0189880i | ||||
\(645\) | −0.954915 | − | 2.93893i | −0.0375997 | − | 0.115720i | ||||
\(646\) | −30.9468 | + | 34.3699i | −1.21758 | + | 1.35226i | ||||
\(647\) | −11.7170 | − | 2.49051i | −0.460641 | − | 0.0979122i | −0.0282547 | − | 0.999601i | \(-0.508995\pi\) |
−0.432386 | + | 0.901689i | \(0.642328\pi\) | |||||||
\(648\) | −5.21470 | + | 2.32174i | −0.204853 | + | 0.0912064i | ||||
\(649\) | 10.2639 | + | 17.7777i | 0.402895 | + | 0.697834i | ||||
\(650\) | 29.2705 | 1.14808 | ||||||||
\(651\) | 6.00000 | − | 5.19615i | 0.235159 | − | 0.203653i | ||||
\(652\) | 1.66312 | + | 1.20833i | 0.0651328 | + | 0.0473217i | ||||
\(653\) | −30.6451 | + | 34.0348i | −1.19924 | + | 1.33189i | −0.269793 | + | 0.962918i | \(0.586955\pi\) |
−0.929442 | + | 0.368967i | \(0.879711\pi\) | |||||||
\(654\) | −0.747238 | − | 0.158830i | −0.0292193 | − | 0.00621076i | ||||
\(655\) | 10.1719 | + | 11.2970i | 0.397448 | + | 0.441411i | ||||
\(656\) | −9.17695 | + | 1.95062i | −0.358300 | + | 0.0761589i | ||||
\(657\) | −14.0902 | −0.549710 | ||||||||
\(658\) | −14.7424 | + | 19.4883i | −0.574720 | + | 0.759734i | ||||
\(659\) | 13.1074 | − | 9.52308i | 0.510591 | − | 0.370966i | −0.302456 | − | 0.953163i | \(-0.597807\pi\) |
0.813048 | + | 0.582197i | \(0.197807\pi\) | |||||||
\(660\) | 2.66312 | + | 4.61266i | 0.103662 | + | 0.179547i | ||||
\(661\) | 2.27785 | − | 1.01417i | 0.0885983 | − | 0.0394465i | −0.361959 | − | 0.932194i | \(-0.617892\pi\) |
0.450557 | + | 0.892748i | \(0.351225\pi\) | |||||||
\(662\) | −2.97975 | − | 28.3504i | −0.115811 | − | 1.10187i | ||||
\(663\) | 25.4775 | + | 11.3433i | 0.989462 | + | 0.440537i | ||||
\(664\) | −4.66312 | − | 3.38795i | −0.180964 | − | 0.131478i | ||||
\(665\) | 21.4150 | − | 28.3090i | 0.830439 | − | 1.09777i | ||||
\(666\) | −0.809017 | + | 0.587785i | −0.0313488 | + | 0.0227762i | ||||
\(667\) | −4.99976 | + | 1.06273i | −0.193591 | + | 0.0411491i | ||||
\(668\) | −0.0729490 | + | 0.126351i | −0.00282248 | + | 0.00488868i | ||||
\(669\) | 4.39104 | + | 4.87674i | 0.169767 | + | 0.188546i | ||||
\(670\) | −2.04275 | − | 0.909491i | −0.0789183 | − | 0.0351367i | ||||
\(671\) | 9.80902 | + | 30.1891i | 0.378673 | + | 1.16544i | ||||
\(672\) | 1.40004 | + | 0.844778i | 0.0540077 | + | 0.0325880i | ||||
\(673\) | 30.6074 | + | 22.2376i | 1.17983 | + | 0.857195i | 0.992152 | − | 0.125036i | \(-0.0399045\pi\) |
0.187676 | + | 0.982231i | \(0.439905\pi\) | |||||||
\(674\) | 11.3541 | + | 19.6659i | 0.437344 | + | 0.757501i | ||||
\(675\) | −15.8598 | + | 7.06122i | −0.610443 | + | 0.271787i | ||||
\(676\) | −10.6353 | + | 18.4208i | −0.409048 | + | 0.708492i | ||||
\(677\) | 1.07579 | − | 10.2354i | 0.0413458 | − | 0.393379i | −0.954205 | − | 0.299153i | \(-0.903296\pi\) |
0.995551 | − | 0.0942257i | \(-0.0300375\pi\) | |||||||
\(678\) | −1.22542 | − | 3.77147i | −0.0470622 | − | 0.144842i | ||||
\(679\) | −26.0273 | + | 14.3639i | −0.998837 | + | 0.551237i | ||||
\(680\) | 13.9443 | + | 10.1311i | 0.534738 | + | 0.388510i | ||||
\(681\) | 12.0569 | − | 2.56277i | 0.462021 | − | 0.0982055i | ||||
\(682\) | −9.35410 | + | 16.2018i | −0.358187 | + | 0.620398i | ||||
\(683\) | 2.12806 | + | 2.36345i | 0.0814281 | + | 0.0904350i | 0.782482 | − | 0.622673i | \(-0.213953\pi\) |
−0.701054 | + | 0.713108i | \(0.747287\pi\) | |||||||
\(684\) | 14.3502 | + | 6.38910i | 0.548692 | + | 0.244293i | ||||
\(685\) | 4.47214 | − | 3.24920i | 0.170872 | − | 0.124145i | ||||
\(686\) | 16.5483 | − | 8.31578i | 0.631819 | − | 0.317498i | ||||
\(687\) | −6.16312 | + | 4.47777i | −0.235138 | + | 0.170838i | ||||
\(688\) | 2.04275 | + | 0.909491i | 0.0778791 | + | 0.0346740i | ||||
\(689\) | 1.26249 | − | 0.562096i | 0.0480970 | − | 0.0214142i | ||||
\(690\) | −0.212657 | − | 2.02330i | −0.00809572 | − | 0.0770256i | ||||
\(691\) | 11.7428 | + | 5.22823i | 0.446717 | + | 0.198891i | 0.617751 | − | 0.786374i | \(-0.288044\pi\) |
−0.171034 | + | 0.985265i | \(0.554711\pi\) | |||||||
\(692\) | −3.00000 | + | 9.23305i | −0.114043 | + | 0.350988i | ||||
\(693\) | 5.04508 | + | 26.2150i | 0.191647 | + | 0.995827i | ||||
\(694\) | 2.29180 | − | 7.05342i | 0.0869954 | − | 0.267744i | ||||
\(695\) | 1.40240 | − | 13.3429i | 0.0531959 | − | 0.506125i | ||||
\(696\) | 2.09901 | + | 0.446157i | 0.0795626 | + | 0.0169115i | ||||
\(697\) | 70.7378 | + | 15.0358i | 2.67938 | + | 0.569521i | ||||
\(698\) | 2.46876 | − | 23.4887i | 0.0934438 | − | 0.889059i | ||||
\(699\) | −15.9656 | −0.603873 | ||||||||
\(700\) | −11.3266 | − | 6.83440i | −0.428104 | − | 0.258316i | ||||
\(701\) | −35.0132 | −1.32243 | −0.661214 | − | 0.750197i | \(-0.729959\pi\) | ||||
−0.661214 | + | 0.750197i | \(0.729959\pi\) | |||||||
\(702\) | 2.12467 | − | 20.2149i | 0.0801905 | − | 0.762962i | ||||
\(703\) | 2.24171 | + | 0.476491i | 0.0845479 | + | 0.0179712i | ||||
\(704\) | −3.76988 | − | 0.801313i | −0.142083 | − | 0.0302006i | ||||
\(705\) | −11.6604 | − | 5.19156i | −0.439157 | − | 0.195525i | ||||
\(706\) | 4.33688 | − | 13.3475i | 0.163221 | − | 0.502342i | ||||
\(707\) | 11.7705 | + | 4.07742i | 0.442676 | + | 0.153347i | ||||
\(708\) | −1.01722 | + | 3.13068i | −0.0382295 | + | 0.117658i | ||||
\(709\) | −31.4410 | − | 13.9984i | −1.18079 | − | 0.525721i | −0.280010 | − | 0.959997i | \(-0.590338\pi\) |
−0.900780 | + | 0.434276i | \(0.857004\pi\) | |||||||
\(710\) | 23.8562 | + | 26.4950i | 0.895306 | + | 0.994338i | ||||
\(711\) | −21.3920 | + | 9.52431i | −0.802261 | + | 0.357190i | ||||
\(712\) | 5.39890 | + | 2.40374i | 0.202332 | + | 0.0900841i | ||||
\(713\) | 5.78115 | − | 4.20025i | 0.216506 | − | 0.157301i | ||||
\(714\) | −7.21024 | − | 10.3382i | −0.269836 | − | 0.386896i | ||||
\(715\) | 50.4508 | 1.88675 | ||||||||
\(716\) | −5.26561 | − | 2.34440i | −0.196785 | − | 0.0876144i | ||||
\(717\) | 2.34636 | + | 2.60590i | 0.0876264 | + | 0.0973189i | ||||
\(718\) | −0.881966 | + | 1.52761i | −0.0329147 | + | 0.0570099i | ||||
\(719\) | −25.3436 | + | 5.38696i | −0.945158 | + | 0.200900i | −0.654615 | − | 0.755962i | \(-0.727169\pi\) |
−0.290543 | + | 0.956862i | \(0.593836\pi\) | |||||||
\(720\) | 1.80902 | − | 5.56758i | 0.0674181 | − | 0.207492i | ||||
\(721\) | −6.66970 | − | 4.02447i | −0.248392 | − | 0.149879i | ||||
\(722\) | −5.25329 | − | 16.1680i | −0.195507 | − | 0.601709i | ||||
\(723\) | 0.701198 | − | 6.67146i | 0.0260778 | − | 0.248114i | ||||
\(724\) | 0.708204 | − | 1.22665i | 0.0263202 | − | 0.0455879i | ||||
\(725\) | −16.9813 | − | 3.60949i | −0.630670 | − | 0.134053i | ||||
\(726\) | 1.19098 | + | 2.06284i | 0.0442015 | + | 0.0765593i | ||||
\(727\) | −27.4164 | − | 19.9192i | −1.01682 | − | 0.738762i | −0.0511901 | − | 0.998689i | \(-0.516301\pi\) |
−0.965628 | + | 0.259927i | \(0.916301\pi\) | |||||||
\(728\) | 13.5605 | − | 7.48375i | 0.502585 | − | 0.277366i | ||||
\(729\) | −2.62868 | − | 8.09024i | −0.0973584 | − | 0.299638i | ||||
\(730\) | 8.05261 | − | 8.94333i | 0.298041 | − | 0.331008i | ||||
\(731\) | −11.5332 | − | 12.8089i | −0.426570 | − | 0.473754i | ||||
\(732\) | −2.54508 | + | 4.40822i | −0.0940690 | + | 0.162932i | ||||
\(733\) | −1.26357 | + | 0.268580i | −0.0466709 | + | 0.00992021i | −0.231188 | − | 0.972909i | \(-0.574261\pi\) |
0.184517 | + | 0.982829i | \(0.440928\pi\) | |||||||
\(734\) | −26.6525 | + | 19.3642i | −0.983761 | + | 0.714744i | ||||
\(735\) | 6.19056 | + | 7.43362i | 0.228342 | + | 0.274193i | ||||
\(736\) | 1.19098 | + | 0.865300i | 0.0439002 | + | 0.0318954i | ||||
\(737\) | −3.52090 | − | 1.56760i | −0.129694 | − | 0.0577435i | ||||
\(738\) | −2.56746 | − | 24.4278i | −0.0945095 | − | 0.899198i | ||||
\(739\) | −29.9434 | + | 13.3316i | −1.10148 | + | 0.490412i | −0.875255 | − | 0.483662i | \(-0.839307\pi\) |
−0.226229 | + | 0.974074i | \(0.572640\pi\) | |||||||
\(740\) | 0.0892780 | − | 0.849423i | 0.00328192 | − | 0.0312254i | ||||
\(741\) | −17.5623 | + | 12.7598i | −0.645167 | + | 0.468742i | ||||
\(742\) | −0.619779 | − | 0.0772701i | −0.0227528 | − | 0.00283668i | ||||
\(743\) | −36.2361 | −1.32937 | −0.664686 | − | 0.747123i | \(-0.731435\pi\) | ||||
−0.664686 | + | 0.747123i | \(0.731435\pi\) | |||||||
\(744\) | −2.93444 | + | 0.623735i | −0.107582 | + | 0.0228672i | ||||
\(745\) | −5.32624 | + | 9.22531i | −0.195138 | + | 0.337989i | ||||
\(746\) | −1.61637 | − | 0.343569i | −0.0591793 | − | 0.0125790i | ||||
\(747\) | 10.0973 | − | 11.2142i | 0.369441 | − | 0.410305i | ||||
\(748\) | 24.0344 | + | 17.4620i | 0.878786 | + | 0.638476i | ||||
\(749\) | 31.1246 | − | 26.9547i | 1.13727 | − | 0.984903i | ||||
\(750\) | 2.13525 | − | 6.57164i | 0.0779685 | − | 0.239962i | ||||
\(751\) | −16.2533 | − | 28.1515i | −0.593091 | − | 1.02726i | −0.993813 | − | 0.111064i | \(-0.964574\pi\) |
0.400722 | − | 0.916200i | \(-0.368759\pi\) | |||||||
\(752\) | 8.43757 | − | 3.75665i | 0.307686 | − | 0.136991i | ||||
\(753\) | −18.8494 | − | 4.00656i | −0.686910 | − | 0.146007i | ||||
\(754\) | 13.6009 | − | 15.1053i | 0.495316 | − | 0.550104i | ||||
\(755\) | −39.3951 | −1.43374 | ||||||||
\(756\) | −5.54216 | + | 7.32629i | −0.201566 | + | 0.266455i | ||||
\(757\) | 14.2016 | 0.516167 | 0.258083 | − | 0.966123i | \(-0.416909\pi\) | ||||
0.258083 | + | 0.966123i | \(0.416909\pi\) | |||||||
\(758\) | −5.92340 | + | 1.25906i | −0.215147 | + | 0.0457310i | ||||
\(759\) | −0.366537 | − | 3.48737i | −0.0133045 | − | 0.126583i | ||||
\(760\) | −12.2565 | + | 5.45694i | −0.444590 | + | 0.197944i | ||||
\(761\) | −1.22967 | + | 11.6995i | −0.0445753 | + | 0.424106i | 0.949364 | + | 0.314178i | \(0.101729\pi\) |
−0.993940 | + | 0.109928i | \(0.964938\pi\) | |||||||
\(762\) | 4.50000 | − | 3.26944i | 0.163018 | − | 0.118439i | ||||
\(763\) | 3.12920 | − | 0.950331i | 0.113285 | − | 0.0344043i | ||||
\(764\) | 12.7533 | + | 9.26581i | 0.461398 | + | 0.335225i | ||||
\(765\) | −30.1943 | + | 33.5341i | −1.09168 | + | 1.21243i | ||||
\(766\) | 2.09057 | + | 19.8904i | 0.0755353 | + | 0.718671i | ||||
\(767\) | 20.8637 | + | 23.1715i | 0.753345 | + | 0.836675i | ||||
\(768\) | −0.309017 | − | 0.535233i | −0.0111507 | − | 0.0193136i | ||||
\(769\) | −2.12868 | + | 6.55139i | −0.0767621 | + | 0.236249i | −0.982073 | − | 0.188500i | \(-0.939638\pi\) |
0.905311 | + | 0.424749i | \(0.139638\pi\) | |||||||
\(770\) | −19.5225 | − | 11.7798i | −0.703543 | − | 0.424515i | ||||
\(771\) | −5.73607 | − | 17.6538i | −0.206579 | − | 0.635786i | ||||
\(772\) | 15.9242 | − | 17.6856i | 0.573125 | − | 0.636520i | ||||
\(773\) | 25.2423 | − | 11.2386i | 0.907904 | − | 0.404225i | 0.100986 | − | 0.994888i | \(-0.467800\pi\) |
0.806918 | + | 0.590663i | \(0.201134\pi\) | |||||||
\(774\) | −2.92705 | + | 5.06980i | −0.105211 | + | 0.182230i | ||||
\(775\) | 23.7401 | − | 5.04612i | 0.852771 | − | 0.181262i | ||||
\(776\) | 11.2361 | 0.403351 | ||||||||
\(777\) | −0.265010 | + | 0.565567i | −0.00950720 | + | 0.0202896i | ||||
\(778\) | 2.19098 | + | 6.74315i | 0.0785505 | + | 0.241754i | ||||
\(779\) | −37.6666 | + | 41.8330i | −1.34954 | + | 1.49882i | ||||
\(780\) | 5.41338 | + | 6.01217i | 0.193830 | + | 0.215270i | ||||
\(781\) | 41.1186 | + | 45.6669i | 1.47134 | + | 1.63409i | ||||
\(782\) | −5.67376 | − | 9.82724i | −0.202893 | − | 0.351422i | ||||
\(783\) | −3.72542 | + | 11.4657i | −0.133136 | + | 0.409750i | ||||
\(784\) | −6.99478 | − | 0.270327i | −0.249814 | − | 0.00965455i | ||||
\(785\) | 3.09017 | 0.110293 | ||||||||
\(786\) | −0.439190 | + | 4.17861i | −0.0156654 | + | 0.149046i | ||||
\(787\) | −0.630771 | − | 6.00138i | −0.0224846 | − | 0.213926i | −0.999995 | − | 0.00304099i | \(-0.999032\pi\) |
0.977511 | − | 0.210885i | \(-0.0676346\pi\) | |||||||
\(788\) | −2.49343 | − | 23.7234i | −0.0888249 | − | 0.845112i | ||||
\(789\) | 0.212657 | − | 2.02330i | 0.00757079 | − | 0.0720313i | ||||
\(790\) | 6.18034 | − | 19.0211i | 0.219887 | − | 0.676741i | ||||
\(791\) | 12.3941 | + | 11.6008i | 0.440682 | + | 0.412478i | ||||
\(792\) | 3.11803 | − | 9.59632i | 0.110795 | − | 0.340990i | ||||
\(793\) | 24.1074 | + | 41.7552i | 0.856079 | + | 1.48277i | ||||
\(794\) | 14.4510 | + | 16.0495i | 0.512848 | + | 0.569576i | ||||
\(795\) | −0.0341011 | − | 0.324451i | −0.00120944 | − | 0.0115071i | ||||
\(796\) | −14.9995 | + | 16.6586i | −0.531643 | + | 0.590450i | ||||
\(797\) | −14.3090 | − | 44.0386i | −0.506851 | − | 1.55993i | −0.797636 | − | 0.603140i | \(-0.793916\pi\) |
0.290784 | − | 0.956789i | \(-0.406084\pi\) | |||||||
\(798\) | 9.77523 | − | 0.836897i | 0.346039 | − | 0.0296258i | ||||
\(799\) | −71.1935 | −2.51864 | ||||||||
\(800\) | 2.50000 | + | 4.33013i | 0.0883883 | + | 0.153093i | ||||
\(801\) | −7.73607 | + | 13.3993i | −0.273341 | + | 0.473440i | ||||
\(802\) | −18.7022 | + | 8.32677i | −0.660399 | + | 0.294028i | ||||
\(803\) | 13.8795 | − | 15.4148i | 0.489798 | − | 0.543976i | ||||
\(804\) | −0.190983 | − | 0.587785i | −0.00673545 | − | 0.0207296i | ||||
\(805\) | 4.98215 | + | 7.14350i | 0.175598 | + | 0.251775i | ||||
\(806\) | −8.78115 | + | 27.0256i | −0.309303 | + | 0.951937i | ||||
\(807\) | −5.66312 | − | 9.80881i | −0.199351 | − | 0.345286i | ||||
\(808\) | −3.15040 | − | 3.49888i | −0.110831 | − | 0.123090i | ||||
\(809\) | 2.25027 | + | 21.4099i | 0.0791154 | + | 0.752733i | 0.960113 | + | 0.279612i | \(0.0902059\pi\) |
−0.880998 | + | 0.473121i | \(0.843127\pi\) | |||||||
\(810\) | 11.6604 | + | 5.19156i | 0.409706 | + | 0.182413i | ||||
\(811\) | 8.01722 | + | 5.82485i | 0.281523 | + | 0.204538i | 0.719581 | − | 0.694408i | \(-0.244334\pi\) |
−0.438059 | + | 0.898946i | \(0.644334\pi\) | |||||||
\(812\) | −8.78999 | + | 2.66950i | −0.308468 | + | 0.0936809i | ||||
\(813\) | −6.04508 | + | 4.39201i | −0.212010 | + | 0.154035i | ||||
\(814\) | 0.153880 | − | 1.46407i | 0.00539350 | − | 0.0513157i | ||||
\(815\) | −0.480491 | − | 4.57157i | −0.0168309 | − | 0.160135i | ||||
\(816\) | 0.497966 | + | 4.73783i | 0.0174323 | + | 0.165857i | ||||
\(817\) | 13.1232 | − | 2.78943i | 0.459124 | − | 0.0975897i | ||||
\(818\) | 1.47214 | 0.0514720 | ||||||||
\(819\) | 15.7744 | + | 37.3553i | 0.551204 | + | 1.30530i | ||||
\(820\) | 16.9721 | + | 12.3310i | 0.592693 | + | 0.430616i | ||||
\(821\) | −3.36870 | + | 3.74132i | −0.117568 | + | 0.130573i | −0.799056 | − | 0.601257i | \(-0.794667\pi\) |
0.681487 | + | 0.731830i | \(0.261333\pi\) | |||||||
\(822\) | 1.49448 | + | 0.317661i | 0.0521259 | + | 0.0110797i | ||||
\(823\) | 6.92796 | − | 3.08452i | 0.241493 | − | 0.107520i | −0.282421 | − | 0.959290i | \(-0.591138\pi\) |
0.523915 | + | 0.851771i | \(0.324471\pi\) | |||||||
\(824\) | 1.47214 | + | 2.54981i | 0.0512843 | + | 0.0888270i | ||||
\(825\) | 3.68034 | − | 11.3269i | 0.128133 | − | 0.394353i | ||||
\(826\) | −2.66312 | − | 13.8380i | −0.0926618 | − | 0.481485i | ||||
\(827\) | −8.33688 | − | 6.05710i | −0.289902 | − | 0.210626i | 0.433323 | − | 0.901239i | \(-0.357341\pi\) |
−0.723225 | + | 0.690613i | \(0.757341\pi\) | |||||||
\(828\) | −2.57890 | + | 2.86416i | −0.0896229 | + | 0.0995363i | ||||
\(829\) | 24.5964 | + | 5.22813i | 0.854268 | + | 0.181580i | 0.614175 | − | 0.789170i | \(-0.289489\pi\) |
0.240093 | + | 0.970750i | \(0.422822\pi\) | |||||||
\(830\) | 1.34722 | + | 12.8179i | 0.0467627 | + | 0.444917i | ||||
\(831\) | −3.87890 | + | 0.824486i | −0.134558 | + | 0.0286011i | ||||
\(832\) | −5.85410 | −0.202954 | ||||||||
\(833\) | 48.4083 | + | 23.8337i | 1.67725 | + | 0.825788i | ||||
\(834\) | 3.00000 | − | 2.17963i | 0.103882 | − | 0.0754743i | ||||
\(835\) | 0.319109 | − | 0.0678287i | 0.0110432 | − | 0.00234731i | ||||
\(836\) | −21.1254 | + | 9.40563i | −0.730637 | + | 0.325300i | ||||
\(837\) | −1.76173 | − | 16.7618i | −0.0608944 | − | 0.579372i | ||||
\(838\) | 11.1782 | + | 4.97686i | 0.386145 | + | 0.171923i | ||||
\(839\) | 17.9443 | + | 13.0373i | 0.619505 | + | 0.450097i | 0.852749 | − | 0.522322i | \(-0.174934\pi\) |
−0.233244 | + | 0.972418i | \(0.574934\pi\) | |||||||
\(840\) | −0.690983 | − | 3.59045i | −0.0238412 | − | 0.123882i | ||||
\(841\) | 13.7082 | − | 9.95959i | 0.472697 | − | 0.343434i | ||||
\(842\) | 23.5637 | − | 5.00863i | 0.812060 | − | 0.172609i | ||||
\(843\) | −5.25329 | + | 9.09896i | −0.180933 | + | 0.313385i | ||||
\(844\) | −6.87231 | − | 7.63248i | −0.236555 | − | 0.262721i | ||||
\(845\) | 46.5230 | − | 9.88876i | 1.60044 | − | 0.340184i | ||||
\(846\) | 7.47214 | + | 22.9969i | 0.256897 | + | 0.790649i | ||||
\(847\) | −8.73074 | − | 5.26809i | −0.299992 | − | 0.181014i | ||||
\(848\) | 0.190983 | + | 0.138757i | 0.00655838 | + | 0.00476494i | ||||
\(849\) | −3.57295 | − | 6.18853i | −0.122623 | − | 0.212390i | ||||
\(850\) | −4.02863 | − | 38.3299i | −0.138181 | − | 1.31470i | ||||
\(851\) | −0.281153 | + | 0.486971i | −0.00963780 | + | 0.0166932i | ||||
\(852\) | −1.03003 | + | 9.80012i | −0.0352884 | + | 0.335747i | ||||
\(853\) | 7.97214 | + | 24.5357i | 0.272961 | + | 0.840087i | 0.989752 | + | 0.142799i | \(0.0456102\pi\) |
−0.716791 | + | 0.697288i | \(0.754390\pi\) | |||||||
\(854\) | 0.420835 | − | 21.7865i | 0.0144007 | − | 0.745519i | ||||
\(855\) | −10.8541 | − | 33.4055i | −0.371202 | − | 1.14244i | ||||
\(856\) | −15.2222 | + | 3.23559i | −0.520285 | + | 0.110590i | ||||
\(857\) | −3.20820 | + | 5.55677i | −0.109590 | + | 0.189816i | −0.915604 | − | 0.402081i | \(-0.868287\pi\) |
0.806014 | + | 0.591896i | \(0.201621\pi\) | |||||||
\(858\) | 9.33054 | + | 10.3626i | 0.318539 | + | 0.353774i | ||||
\(859\) | −42.4035 | − | 18.8793i | −1.44679 | − | 0.644152i | −0.474996 | − | 0.879988i | \(-0.657550\pi\) |
−0.971793 | + | 0.235836i | \(0.924217\pi\) | |||||||
\(860\) | −1.54508 | − | 4.75528i | −0.0526870 | − | 0.162154i | ||||
\(861\) | −8.77587 | − | 12.5830i | −0.299081 | − | 0.428828i | ||||
\(862\) | −21.8713 | + | 15.8904i | −0.744940 | + | 0.541231i | ||||
\(863\) | 21.0430 | + | 9.36895i | 0.716312 | + | 0.318923i | 0.732331 | − | 0.680949i | \(-0.238432\pi\) |
−0.0160186 | + | 0.999872i | \(0.505099\pi\) | |||||||
\(864\) | 3.17195 | − | 1.41224i | 0.107912 | − | 0.0480455i | ||||
\(865\) | 19.8314 | − | 8.82952i | 0.674289 | − | 0.300213i | ||||
\(866\) | −20.7450 | − | 9.23626i | −0.704943 | − | 0.313861i | ||||
\(867\) | 8.10081 | − | 24.9317i | 0.275118 | − | 0.846726i | ||||
\(868\) | 9.70820 | − | 8.40755i | 0.329518 | − | 0.285371i | ||||
\(869\) | 10.6525 | − | 32.7849i | 0.361360 | − | 1.11215i | ||||
\(870\) | −2.39919 | − | 4.15551i | −0.0813401 | − | 0.140885i | ||||
\(871\) | −5.72618 | − | 1.21714i | −0.194024 | − | 0.0412411i | ||||
\(872\) | −1.20906 | − | 0.256993i | −0.0409438 | − | 0.00870288i | ||||
\(873\) | −3.07485 | + | 29.2553i | −0.104068 | + | 0.990141i | ||||
\(874\) | 8.83282 | 0.298774 | ||||||||
\(875\) | 5.59017 | + | 29.0474i | 0.188982 | + | 0.981981i | ||||
\(876\) | 3.32624 | 0.112383 | ||||||||
\(877\) | −0.421714 | + | 4.01234i | −0.0142403 | + | 0.135487i | −0.999332 | − | 0.0365421i | \(-0.988366\pi\) |
0.985092 | + | 0.172029i | \(0.0550324\pi\) | |||||||
\(878\) | 3.85808 | + | 0.820060i | 0.130204 | + | 0.0276757i | ||||
\(879\) | 0.659039 | + | 0.140083i | 0.0222288 | + | 0.00472488i | ||||
\(880\) | 4.30902 | + | 7.46344i | 0.145257 | + | 0.251592i | ||||
\(881\) | −4.23607 | + | 13.0373i | −0.142717 | + | 0.439237i | −0.996710 | − | 0.0810466i | \(-0.974174\pi\) |
0.853994 | + | 0.520284i | \(0.174174\pi\) | |||||||
\(882\) | 2.61803 | − | 18.1383i | 0.0881538 | − | 0.610747i | ||||
\(883\) | 5.02786 | − | 15.4742i | 0.169201 | − | 0.520747i | −0.830120 | − | 0.557584i | \(-0.811728\pi\) |
0.999321 | + | 0.0368371i | \(0.0117283\pi\) | |||||||
\(884\) | 41.2234 | + | 18.3538i | 1.38649 | + | 0.617306i | ||||
\(885\) | 6.72432 | − | 2.99386i | 0.226035 | − | 0.100637i | ||||
\(886\) | −2.87392 | + | 1.27955i | −0.0965513 | + | 0.0429874i | ||||
\(887\) | 46.7047 | + | 20.7943i | 1.56819 | + | 0.698203i | 0.992812 | − | 0.119686i | \(-0.0381887\pi\) |
0.575377 | + | 0.817888i | \(0.304855\pi\) | |||||||
\(888\) | 0.190983 | − | 0.138757i | 0.00640897 | − | 0.00465639i | ||||
\(889\) | −10.1034 | + | 21.5620i | −0.338858 | + | 0.723167i | ||||
\(890\) | −4.08359 | − | 12.5680i | −0.136882 | − | 0.421280i | ||||
\(891\) | 20.0980 | + | 8.94821i | 0.673308 | + | 0.299776i | ||||
\(892\) | 7.10485 | + | 7.89074i | 0.237888 | + | 0.264201i | ||||
\(893\) | 27.7082 | − | 47.9920i | 0.927220 | − | 1.60599i | ||||
\(894\) | −2.87993 | + | 0.612149i | −0.0963194 | + | 0.0204733i | ||||
\(895\) | 3.98278 | + | 12.2577i | 0.133130 | + | 0.409731i | ||||
\(896\) | 2.26531 | + | 1.36688i | 0.0756788 | + | 0.0456643i | ||||
\(897\) | −1.64590 | − | 5.06555i | −0.0549549 | − | 0.169134i | ||||
\(898\) | 0.519042 | − | 4.93836i | 0.0173207 | − | 0.164795i | ||||
\(899\) | 8.42705 | − | 14.5961i | 0.281058 | − | 0.486807i | ||||
\(900\) | −11.9585 | + | 5.32425i | −0.398616 | + | 0.177475i | ||||
\(901\) | −0.909830 | − | 1.57587i | −0.0303108 | − | 0.0524999i | ||||
\(902\) | 29.2533 | + | 21.2538i | 0.974028 | + | 0.707673i | ||||
\(903\) | −0.0706138 | + | 3.65566i | −0.00234988 | + | 0.121653i | ||||
\(904\) | −1.98278 | − | 6.10237i | −0.0659463 | − | 0.202962i | ||||
\(905\) | −3.09797 | + | 0.658495i | −0.102980 | + | 0.0218891i | ||||
\(906\) | −7.28586 | − | 8.09176i | −0.242056 | − | 0.268831i | ||||
\(907\) | −17.1353 | + | 29.6791i | −0.568967 | + | 0.985479i | 0.427702 | + | 0.903920i | \(0.359323\pi\) |
−0.996668 | + | 0.0815595i | \(0.974010\pi\) | |||||||
\(908\) | 19.5084 | − | 4.14665i | 0.647410 | − | 0.137611i | ||||
\(909\) | 9.97214 | − | 7.24518i | 0.330755 | − | 0.240307i | ||||
\(910\) | −32.7254 | − | 11.3364i | −1.08484 | − | 0.375799i | ||||
\(911\) | 17.8262 | + | 12.9515i | 0.590610 | + | 0.429103i | 0.842533 | − | 0.538644i | \(-0.181063\pi\) |
−0.251924 | + | 0.967747i | \(0.581063\pi\) | |||||||
\(912\) | −3.38761 | − | 1.50826i | −0.112175 | − | 0.0499436i | ||||
\(913\) | 2.32208 | + | 22.0931i | 0.0768495 | + | 0.731174i | ||||
\(914\) | 9.83334 | − | 4.37809i | 0.325258 | − | 0.144814i | ||||
\(915\) | 11.1332 | − | 2.36644i | 0.368054 | − | 0.0782322i | ||||
\(916\) | −9.97214 | + | 7.24518i | −0.329489 | + | 0.239388i | ||||
\(917\) | −6.99719 | − | 16.5700i | −0.231067 | − | 0.547189i | ||||
\(918\) | −26.7639 | −0.883341 | ||||||||
\(919\) | 15.4740 | − | 3.28909i | 0.510439 | − | 0.108497i | 0.0545098 | − | 0.998513i | \(-0.482640\pi\) |
0.455929 | + | 0.890016i | \(0.349307\pi\) | |||||||
\(920\) | −0.344086 | − | 3.27376i | −0.0113442 | − | 0.107933i | ||||
\(921\) | −7.93420 | − | 1.68647i | −0.261441 | − | 0.0555710i | ||||
\(922\) | −23.4657 | + | 26.0613i | −0.772800 | + | 0.858282i | ||||
\(923\) | 75.5132 | + | 54.8635i | 2.48555 | + | 1.80585i | ||||
\(924\) | −1.19098 | − | 6.18853i | −0.0391805 | − | 0.203588i | ||||
\(925\) | −1.54508 | + | 1.12257i | −0.0508021 | + | 0.0369099i | ||||
\(926\) | 5.88197 | + | 10.1879i | 0.193293 | + | 0.334794i | ||||
\(927\) | −7.04179 | + | 3.13521i | −0.231283 | + | 0.102974i | ||||
\(928\) | 3.39626 | + | 0.721898i | 0.111488 | + | 0.0236975i | ||||
\(929\) | 11.8261 | − | 13.1342i | 0.388000 | − | 0.430918i | −0.517225 | − | 0.855849i | \(-0.673035\pi\) |
0.905226 | + | 0.424931i | \(0.139702\pi\) | |||||||
\(930\) | 5.42705 | + | 3.94298i | 0.177960 | + | 0.129296i | ||||
\(931\) | −34.9067 | + | 23.3564i | −1.14402 | + | 0.765474i | ||||
\(932\) | −25.8328 | −0.846182 | ||||||||
\(933\) | −2.16638 | + | 0.460479i | −0.0709242 | + | 0.0150754i | ||||
\(934\) | −0.519042 | − | 4.93836i | −0.0169836 | − | 0.161588i | ||||
\(935\) | −6.94378 | − | 66.0657i | −0.227086 | − | 2.16058i | ||||
\(936\) | 1.60203 | − | 15.2423i | 0.0523639 | − | 0.498209i | ||||
\(937\) | −30.6803 | + | 22.2906i | −1.00228 | + | 0.728201i | −0.962576 | − | 0.271010i | \(-0.912642\pi\) |
−0.0397065 | + | 0.999211i | \(0.512642\pi\) | |||||||
\(938\) | 1.93162 | + | 1.80800i | 0.0630696 | + | 0.0590331i | ||||
\(939\) | 11.2361 | + | 8.16348i | 0.366675 | + | 0.266405i | ||||
\(940\) | −18.8670 | − | 8.40012i | −0.615373 | − | 0.273982i | ||||
\(941\) | −4.61228 | − | 43.8829i | −0.150356 | − | 1.43054i | −0.766164 | − | 0.642645i | \(-0.777837\pi\) |
0.615808 | − | 0.787896i | \(-0.288830\pi\) | |||||||
\(942\) | 0.571506 | + | 0.634721i | 0.0186207 | + | 0.0206803i | ||||
\(943\) | −6.90576 | − | 11.9611i | −0.224883 | − | 0.389508i | ||||
\(944\) | −1.64590 | + | 5.06555i | −0.0535694 | + | 0.164870i | ||||
\(945\) | 20.4666 | − | 1.75223i | 0.665777 | − | 0.0569999i | ||||
\(946\) | −2.66312 | − | 8.19624i | −0.0865855 | − | 0.266483i | ||||
\(947\) | 20.7803 | − | 23.0789i | 0.675270 | − | 0.749964i | −0.303967 | − | 0.952683i | \(-0.598311\pi\) |
0.979237 | + | 0.202719i | \(0.0649778\pi\) | |||||||
\(948\) | 5.04996 | − | 2.24838i | 0.164015 | − | 0.0730241i | ||||
\(949\) | 15.7533 | − | 27.2855i | 0.511373 | − | 0.885725i | ||||
\(950\) | 27.4064 | + | 12.2021i | 0.889180 | + | 0.395888i | ||||
\(951\) | 15.9098 | 0.515912 | ||||||||
\(952\) | −11.6664 | − | 16.7275i | −0.378110 | − | 0.542142i | ||||
\(953\) | −6.39261 | − | 19.6744i | −0.207077 | − | 0.637317i | −0.999622 | − | 0.0275035i | \(-0.991244\pi\) |
0.792545 | − | 0.609814i | \(-0.208756\pi\) | |||||||
\(954\) | −0.413545 | + | 0.459289i | −0.0133890 | + | 0.0148700i | ||||
\(955\) | −3.68455 | − | 35.0561i | −0.119229 | − | 1.13439i | ||||
\(956\) | 3.79649 | + | 4.21643i | 0.122787 | + | 0.136369i | ||||
\(957\) | −4.13525 | − | 7.16247i | −0.133674 | − | 0.231530i | ||||
\(958\) | −1.76393 | + | 5.42882i | −0.0569901 | + | 0.175397i | ||||
\(959\) | −6.25841 | + | 1.90066i | −0.202095 | + | 0.0613756i | ||||
\(960\) | −0.427051 | + | 1.31433i | −0.0137830 | + | 0.0424197i | ||||
\(961\) | 0.777451 | − | 7.39695i | 0.0250791 | − | 0.238611i | ||||
\(962\) | −0.233733 | − | 2.22382i | −0.00753585 | − | 0.0716988i | ||||
\(963\) | −4.25877 | − | 40.5195i | −0.137237 | − | 1.30572i | ||||
\(964\) | 1.13456 | − | 10.7946i | 0.0365418 | − | 0.347672i | ||||
\(965\) | −53.2148 | −1.71304 | ||||||||
\(966\) | −0.545862 | + | 2.34448i | −0.0175628 | + | 0.0754323i | ||||
\(967\) | −11.3090 | + | 34.8056i | −0.363673 | + | 1.11927i | 0.587134 | + | 0.809490i | \(0.300256\pi\) |
−0.950808 | + | 0.309782i | \(0.899744\pi\) | |||||||
\(968\) | 1.92705 | + | 3.33775i | 0.0619378 | + | 0.107279i | ||||
\(969\) | 19.1262 | + | 21.2417i | 0.614421 | + | 0.682383i | ||||
\(970\) | −16.8116 | − | 18.6712i | −0.539789 | − | 0.599497i | ||||
\(971\) | −26.3001 | + | 29.2093i | −0.844012 | + | 0.937370i | −0.998719 | − | 0.0505902i | \(-0.983890\pi\) |
0.154708 | + | 0.987960i | \(0.450556\pi\) | |||||||
\(972\) | 4.30902 | + | 13.2618i | 0.138212 | + | 0.425372i | ||||
\(973\) | −6.73561 | + | 14.3747i | −0.215934 | + | 0.460831i | ||||
\(974\) | −40.5967 | −1.30080 | ||||||||
\(975\) | 1.89094 | − | 17.9911i | 0.0605585 | − | 0.576175i | ||||
\(976\) | −4.11803 | + | 7.13264i | −0.131815 | + | 0.228310i | ||||
\(977\) | −38.8122 | + | 17.2803i | −1.24171 | + | 0.552847i | −0.919227 | − | 0.393727i | \(-0.871185\pi\) |
−0.322487 | + | 0.946574i | \(0.604519\pi\) | |||||||
\(978\) | 0.850137 | − | 0.944173i | 0.0271844 | − | 0.0301913i | ||||
\(979\) | −7.03851 | − | 21.6623i | −0.224952 | − | 0.692330i | ||||
\(980\) | 10.0165 | + | 12.0278i | 0.319966 | + | 0.384216i | ||||
\(981\) | 1.00000 | − | 3.07768i | 0.0319275 | − | 0.0982629i | ||||
\(982\) | −10.5729 | − | 18.3129i | −0.337396 | − | 0.584388i | ||||
\(983\) | −12.8199 | − | 14.2380i | −0.408892 | − | 0.454120i | 0.503161 | − | 0.864192i | \(-0.332170\pi\) |
−0.912053 | + | 0.410072i | \(0.865503\pi\) | |||||||
\(984\) | 0.606095 | + | 5.76661i | 0.0193216 | + | 0.183833i | ||||
\(985\) | −35.6910 | + | 39.6389i | −1.13721 | + | 1.26300i | ||||
\(986\) | −21.6525 | − | 15.7314i | −0.689555 | − | 0.500991i | ||||
\(987\) | 11.0261 | + | 10.3204i | 0.350964 | + | 0.328502i | ||||
\(988\) | −28.4164 | + | 20.6457i | −0.904046 | + | 0.656828i | ||||
\(989\) | −0.344086 | + | 3.27376i | −0.0109413 | + | 0.104100i | ||||
\(990\) | −20.6117 | + | 9.17692i | −0.655083 | + | 0.291662i | ||||
\(991\) | −1.85684 | − | 17.6666i | −0.0589844 | − | 0.561199i | −0.983608 | − | 0.180318i | \(-0.942287\pi\) |
0.924624 | − | 0.380881i | \(-0.124379\pi\) | |||||||
\(992\) | −4.74803 | + | 1.00922i | −0.150750 | + | 0.0320429i | ||||
\(993\) | −17.6180 | −0.559091 | ||||||||
\(994\) | −16.4105 | − | 38.8617i | −0.520511 | − | 1.23262i | ||||
\(995\) | 50.1246 | 1.58906 | ||||||||
\(996\) | −2.38365 | + | 2.64731i | −0.0755288 | + | 0.0838832i | ||||
\(997\) | −14.8149 | − | 3.14901i | −0.469193 | − | 0.0997301i | −0.0327533 | − | 0.999463i | \(-0.510428\pi\) |
−0.436440 | + | 0.899733i | \(0.643761\pi\) | |||||||
\(998\) | −10.9625 | + | 4.88084i | −0.347013 | + | 0.154500i | ||||
\(999\) | 0.663119 | + | 1.14856i | 0.0209802 | + | 0.0363387i |
(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 | 350.2.q.a.291.1 | yes | 8 | |
7.2 | even | 3 | inner | 350.2.q.a.191.1 | yes | 8 | |
25.11 | even | 5 | inner | 350.2.q.a.11.1 | ✓ | 8 | |
175.86 | even | 15 | inner | 350.2.q.a.261.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.q.a.11.1 | ✓ | 8 | 25.11 | even | 5 | inner | |
350.2.q.a.191.1 | yes | 8 | 7.2 | even | 3 | inner | |
350.2.q.a.261.1 | yes | 8 | 175.86 | even | 15 | inner | |
350.2.q.a.291.1 | yes | 8 | 1.1 | even | 1 | trivial |