Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,3,Mod(10,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 17]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.k (of order \(18\), degree \(6\), 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: | \(1.55313750685\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 48 x^{16} + 936 x^{14} + 9539 x^{12} + 54576 x^{10} + 176517 x^{8} + 313396 x^{6} + 277917 x^{4} + \cdots + 8427 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 22.2 | ||
Root | \(-0.358663i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 57.22 |
Dual form | 57.3.k.a.13.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.230544 | − | 0.274751i | 0.115272 | − | 0.137376i | −0.705323 | − | 0.708886i | \(-0.749198\pi\) |
0.820595 | + | 0.571511i | \(0.193642\pi\) | |||||||
\(3\) | 0.592396 | + | 1.62760i | 0.197465 | + | 0.542532i | ||||
\(4\) | 0.672255 | + | 3.81255i | 0.168064 | + | 0.953137i | ||||
\(5\) | 0.125095 | − | 0.709447i | 0.0250189 | − | 0.141889i | −0.969740 | − | 0.244142i | \(-0.921494\pi\) |
0.994758 | + | 0.102252i | \(0.0326049\pi\) | |||||||
\(6\) | 0.583757 | + | 0.212470i | 0.0972929 | + | 0.0354117i | ||||
\(7\) | 1.07822 | + | 1.86753i | 0.154032 | + | 0.266791i | 0.932706 | − | 0.360638i | \(-0.117441\pi\) |
−0.778674 | + | 0.627428i | \(0.784108\pi\) | |||||||
\(8\) | 2.44493 | + | 1.41158i | 0.305616 | + | 0.176448i | ||||
\(9\) | −2.29813 | + | 1.92836i | −0.255348 | + | 0.214263i | ||||
\(10\) | −0.166082 | − | 0.197929i | −0.0166082 | − | 0.0197929i | ||||
\(11\) | 8.08873 | − | 14.0101i | 0.735339 | − | 1.27364i | −0.219235 | − | 0.975672i | \(-0.570356\pi\) |
0.954574 | − | 0.297973i | \(-0.0963104\pi\) | |||||||
\(12\) | −5.80704 | + | 3.35270i | −0.483920 | + | 0.279391i | ||||
\(13\) | 1.98473 | − | 5.45301i | 0.152672 | − | 0.419462i | −0.839653 | − | 0.543124i | \(-0.817242\pi\) |
0.992324 | + | 0.123662i | \(0.0394637\pi\) | |||||||
\(14\) | 0.761685 | + | 0.134306i | 0.0544061 | + | 0.00959326i | ||||
\(15\) | 1.22880 | − | 0.216670i | 0.0819199 | − | 0.0144447i | ||||
\(16\) | −13.6001 | + | 4.95002i | −0.850004 | + | 0.309376i | ||||
\(17\) | −8.34542 | − | 7.00264i | −0.490907 | − | 0.411920i | 0.363444 | − | 0.931616i | \(-0.381601\pi\) |
−0.854351 | + | 0.519696i | \(0.826045\pi\) | |||||||
\(18\) | 1.07599i | 0.0597771i | ||||||||
\(19\) | −18.5899 | + | 3.92617i | −0.978417 | + | 0.206641i | ||||
\(20\) | 2.78890 | 0.139445 | ||||||||
\(21\) | −2.40086 | + | 2.86123i | −0.114327 | + | 0.136249i | ||||
\(22\) | −1.98449 | − | 5.45233i | −0.0902039 | − | 0.247833i | ||||
\(23\) | −4.80653 | − | 27.2592i | −0.208979 | − | 1.18518i | −0.891054 | − | 0.453898i | \(-0.850033\pi\) |
0.682074 | − | 0.731283i | \(-0.261078\pi\) | |||||||
\(24\) | −0.849115 | + | 4.81557i | −0.0353798 | + | 0.200649i | ||||
\(25\) | 23.0046 | + | 8.37301i | 0.920186 | + | 0.334920i | ||||
\(26\) | −1.04065 | − | 1.80246i | −0.0400251 | − | 0.0693256i | ||||
\(27\) | −4.50000 | − | 2.59808i | −0.166667 | − | 0.0962250i | ||||
\(28\) | −6.39522 | + | 5.36623i | −0.228401 | + | 0.191651i | ||||
\(29\) | 4.49593 | + | 5.35805i | 0.155032 | + | 0.184760i | 0.837970 | − | 0.545716i | \(-0.183742\pi\) |
−0.682938 | + | 0.730477i | \(0.739298\pi\) | |||||||
\(30\) | 0.223761 | − | 0.387566i | 0.00745872 | − | 0.0129189i | ||||
\(31\) | 20.9272 | − | 12.0823i | 0.675071 | − | 0.389752i | −0.122924 | − | 0.992416i | \(-0.539227\pi\) |
0.797995 | + | 0.602664i | \(0.205894\pi\) | |||||||
\(32\) | −5.63770 | + | 15.4895i | −0.176178 | + | 0.484045i | ||||
\(33\) | 27.5945 | + | 4.86565i | 0.836197 | + | 0.147444i | ||||
\(34\) | −3.84797 | + | 0.678501i | −0.113176 | + | 0.0199559i | ||||
\(35\) | 1.45980 | − | 0.531323i | 0.0417085 | − | 0.0151807i | ||||
\(36\) | −8.89690 | − | 7.46539i | −0.247136 | − | 0.207372i | ||||
\(37\) | 25.4790i | 0.688621i | 0.938856 | + | 0.344311i | \(0.111887\pi\) | ||||
−0.938856 | + | 0.344311i | \(0.888113\pi\) | |||||||
\(38\) | −3.20707 | + | 6.01276i | −0.0843966 | + | 0.158231i | ||||
\(39\) | 10.0510 | 0.257719 | ||||||||
\(40\) | 1.30729 | − | 1.55797i | 0.0326823 | − | 0.0389492i | ||||
\(41\) | 10.3019 | + | 28.3043i | 0.251266 | + | 0.690348i | 0.999634 | + | 0.0270640i | \(0.00861577\pi\) |
−0.748367 | + | 0.663284i | \(0.769162\pi\) | |||||||
\(42\) | 0.232624 | + | 1.31928i | 0.00553867 | + | 0.0314114i | ||||
\(43\) | 0.808058 | − | 4.58272i | 0.0187920 | − | 0.106575i | −0.973969 | − | 0.226681i | \(-0.927212\pi\) |
0.992761 | + | 0.120106i | \(0.0383235\pi\) | |||||||
\(44\) | 58.8518 | + | 21.4203i | 1.33754 | + | 0.486825i | ||||
\(45\) | 1.08059 | + | 1.87163i | 0.0240131 | + | 0.0415918i | ||||
\(46\) | −8.59761 | − | 4.96383i | −0.186905 | − | 0.107909i | ||||
\(47\) | −41.4983 | + | 34.8212i | −0.882942 | + | 0.740876i | −0.966782 | − | 0.255603i | \(-0.917726\pi\) |
0.0838398 | + | 0.996479i | \(0.473282\pi\) | |||||||
\(48\) | −16.1133 | − | 19.2030i | −0.335693 | − | 0.400063i | ||||
\(49\) | 22.1749 | − | 38.4080i | 0.452548 | − | 0.783837i | ||||
\(50\) | 7.60408 | − | 4.39021i | 0.152082 | − | 0.0878043i | ||||
\(51\) | 6.45367 | − | 17.7313i | 0.126543 | − | 0.347673i | ||||
\(52\) | 22.1241 | + | 3.90107i | 0.425463 | + | 0.0750206i | ||||
\(53\) | −29.6829 | + | 5.23390i | −0.560055 | + | 0.0987528i | −0.446508 | − | 0.894780i | \(-0.647332\pi\) |
−0.113547 | + | 0.993533i | \(0.536221\pi\) | |||||||
\(54\) | −1.75127 | + | 0.637411i | −0.0324310 | + | 0.0118039i | ||||
\(55\) | −8.92756 | − | 7.49112i | −0.162319 | − | 0.136202i | ||||
\(56\) | 6.08799i | 0.108714i | ||||||||
\(57\) | −17.4028 | − | 27.9310i | −0.305313 | − | 0.490018i | ||||
\(58\) | 2.50864 | 0.0432524 | ||||||||
\(59\) | −44.5612 | + | 53.1059i | −0.755274 | + | 0.900101i | −0.997539 | − | 0.0701095i | \(-0.977665\pi\) |
0.242265 | + | 0.970210i | \(0.422110\pi\) | |||||||
\(60\) | 1.65213 | + | 4.53920i | 0.0275355 | + | 0.0756533i | ||||
\(61\) | 3.66172 | + | 20.7666i | 0.0600281 | + | 0.340436i | 1.00000 | 0.000816427i | \(-0.000259877\pi\) | |
−0.939972 | + | 0.341253i | \(0.889149\pi\) | |||||||
\(62\) | 1.50500 | − | 8.53528i | 0.0242742 | − | 0.137666i | ||||
\(63\) | −6.07918 | − | 2.21264i | −0.0964950 | − | 0.0351213i | ||||
\(64\) | −25.9898 | − | 45.0156i | −0.406090 | − | 0.703368i | ||||
\(65\) | −3.62034 | − | 2.09021i | −0.0556976 | − | 0.0321570i | ||||
\(66\) | 7.69858 | − | 6.45988i | 0.116645 | − | 0.0978770i | ||||
\(67\) | −52.9435 | − | 63.0956i | −0.790202 | − | 0.941726i | 0.209144 | − | 0.977885i | \(-0.432932\pi\) |
−0.999346 | + | 0.0361592i | \(0.988488\pi\) | |||||||
\(68\) | 21.0876 | − | 36.5249i | 0.310112 | − | 0.537130i | ||||
\(69\) | 41.5195 | − | 23.9713i | 0.601732 | − | 0.347410i | ||||
\(70\) | 0.190566 | − | 0.523575i | 0.00272237 | − | 0.00747964i | ||||
\(71\) | −90.7116 | − | 15.9949i | −1.27763 | − | 0.225280i | −0.506656 | − | 0.862148i | \(-0.669118\pi\) |
−0.770973 | + | 0.636868i | \(0.780230\pi\) | |||||||
\(72\) | −8.34082 | + | 1.47071i | −0.115845 | + | 0.0204265i | ||||
\(73\) | 30.4860 | − | 11.0960i | 0.417617 | − | 0.152000i | −0.124661 | − | 0.992199i | \(-0.539784\pi\) |
0.542278 | + | 0.840199i | \(0.317562\pi\) | |||||||
\(74\) | 7.00039 | + | 5.87402i | 0.0945998 | + | 0.0793787i | ||||
\(75\) | 42.4024i | 0.565365i | ||||||||
\(76\) | −27.4659 | − | 68.2356i | −0.361393 | − | 0.897836i | ||||
\(77\) | 34.8858 | 0.453062 | ||||||||
\(78\) | 2.31720 | − | 2.76154i | 0.0297077 | − | 0.0354043i | ||||
\(79\) | 49.5094 | + | 136.026i | 0.626701 | + | 1.72185i | 0.689959 | + | 0.723849i | \(0.257629\pi\) |
−0.0632580 | + | 0.997997i | \(0.520149\pi\) | |||||||
\(80\) | 1.81048 | + | 10.2677i | 0.0226310 | + | 0.128347i | ||||
\(81\) | 1.56283 | − | 8.86327i | 0.0192942 | − | 0.109423i | ||||
\(82\) | 10.1517 | + | 3.69491i | 0.123801 | + | 0.0450599i | ||||
\(83\) | −65.6684 | − | 113.741i | −0.791186 | − | 1.37037i | −0.925233 | − | 0.379399i | \(-0.876131\pi\) |
0.134047 | − | 0.990975i | \(-0.457203\pi\) | |||||||
\(84\) | −12.5226 | − | 7.22990i | −0.149078 | − | 0.0860703i | ||||
\(85\) | −6.01197 | + | 5.04464i | −0.0707291 | + | 0.0593488i | ||||
\(86\) | −1.07282 | − | 1.27853i | −0.0124746 | − | 0.0148667i | ||||
\(87\) | −6.05736 | + | 10.4916i | −0.0696248 | + | 0.120594i | ||||
\(88\) | 39.5528 | − | 22.8358i | 0.449463 | − | 0.259498i | ||||
\(89\) | −45.9758 | + | 126.317i | −0.516582 | + | 1.41930i | 0.357681 | + | 0.933844i | \(0.383568\pi\) |
−0.874263 | + | 0.485453i | \(0.838655\pi\) | |||||||
\(90\) | 0.763356 | + | 0.134600i | 0.00848174 | + | 0.00149556i | ||||
\(91\) | 12.3237 | − | 2.17299i | 0.135425 | − | 0.0238791i | ||||
\(92\) | 100.696 | − | 36.6502i | 1.09452 | − | 0.398372i | ||||
\(93\) | 32.0623 | + | 26.9035i | 0.344756 | + | 0.289285i | ||||
\(94\) | 19.4295i | 0.206697i | ||||||||
\(95\) | 0.459910 | + | 13.6797i | 0.00484115 | + | 0.143997i | ||||
\(96\) | −28.5503 | −0.297399 | ||||||||
\(97\) | −65.6279 | + | 78.2122i | −0.676576 | + | 0.806312i | −0.989663 | − | 0.143413i | \(-0.954192\pi\) |
0.313087 | + | 0.949724i | \(0.398637\pi\) | |||||||
\(98\) | −5.44038 | − | 14.9473i | −0.0555140 | − | 0.152524i | ||||
\(99\) | 8.42756 | + | 47.7951i | 0.0851269 | + | 0.482778i | ||||
\(100\) | −16.4575 | + | 93.3351i | −0.164575 | + | 0.933351i | ||||
\(101\) | 149.690 | + | 54.4825i | 1.48207 | + | 0.539431i | 0.951350 | − | 0.308113i | \(-0.0996976\pi\) |
0.530725 | + | 0.847544i | \(0.321920\pi\) | |||||||
\(102\) | −3.38385 | − | 5.86100i | −0.0331750 | − | 0.0574608i | ||||
\(103\) | −78.9581 | − | 45.5865i | −0.766584 | − | 0.442587i | 0.0650709 | − | 0.997881i | \(-0.479273\pi\) |
−0.831655 | + | 0.555293i | \(0.812606\pi\) | |||||||
\(104\) | 12.5499 | − | 10.5306i | 0.120672 | − | 0.101256i | ||||
\(105\) | 1.72956 | + | 2.06121i | 0.0164720 | + | 0.0196305i | ||||
\(106\) | −5.40519 | + | 9.36206i | −0.0509924 | + | 0.0883214i | ||||
\(107\) | 165.359 | − | 95.4703i | 1.54541 | − | 0.892246i | 0.546932 | − | 0.837177i | \(-0.315796\pi\) |
0.998483 | − | 0.0550687i | \(-0.0175378\pi\) | |||||||
\(108\) | 6.88014 | − | 18.9030i | 0.0637050 | − | 0.175028i | ||||
\(109\) | 172.522 | + | 30.4203i | 1.58277 | + | 0.279085i | 0.894737 | − | 0.446593i | \(-0.147363\pi\) |
0.688034 | + | 0.725678i | \(0.258474\pi\) | |||||||
\(110\) | −4.11639 | + | 0.725831i | −0.0374217 | + | 0.00659846i | ||||
\(111\) | −41.4695 | + | 15.0937i | −0.373599 | + | 0.135979i | ||||
\(112\) | −23.9082 | − | 20.0614i | −0.213466 | − | 0.179119i | ||||
\(113\) | − | 46.5219i | − | 0.411698i | −0.978584 | − | 0.205849i | \(-0.934004\pi\) | ||
0.978584 | − | 0.205849i | \(-0.0659955\pi\) | |||||||
\(114\) | −11.6862 | − | 1.65788i | −0.102511 | − | 0.0145428i | ||||
\(115\) | −19.9402 | −0.173393 | ||||||||
\(116\) | −17.4054 | + | 20.7429i | −0.150046 | + | 0.178818i | ||||
\(117\) | 5.95420 | + | 16.3590i | 0.0508906 | + | 0.139821i | ||||
\(118\) | 4.31763 | + | 24.4865i | 0.0365901 | + | 0.207513i | ||||
\(119\) | 4.07946 | − | 23.1358i | 0.0342812 | − | 0.194418i | ||||
\(120\) | 3.31018 | + | 1.20481i | 0.0275848 | + | 0.0100400i | ||||
\(121\) | −70.3551 | − | 121.859i | −0.581447 | − | 1.00710i | ||||
\(122\) | 6.54984 | + | 3.78155i | 0.0536872 | + | 0.0309963i | ||||
\(123\) | −39.9651 | + | 33.5347i | −0.324920 | + | 0.272640i | ||||
\(124\) | 60.1328 | + | 71.6635i | 0.484942 | + | 0.577932i | ||||
\(125\) | 17.8229 | − | 30.8701i | 0.142583 | − | 0.246961i | ||||
\(126\) | −2.00944 | + | 1.16015i | −0.0159480 | + | 0.00920756i | ||||
\(127\) | −26.9388 | + | 74.0138i | −0.212117 | + | 0.582786i | −0.999430 | − | 0.0337677i | \(-0.989249\pi\) |
0.787313 | + | 0.616554i | \(0.211472\pi\) | |||||||
\(128\) | −83.2923 | − | 14.6867i | −0.650721 | − | 0.114740i | ||||
\(129\) | 7.93751 | − | 1.39960i | 0.0615311 | − | 0.0108496i | ||||
\(130\) | −1.40893 | + | 0.512810i | −0.0108380 | + | 0.00394469i | ||||
\(131\) | −145.698 | − | 122.255i | −1.11220 | − | 0.933243i | −0.114011 | − | 0.993479i | \(-0.536370\pi\) |
−0.998184 | + | 0.0602369i | \(0.980814\pi\) | |||||||
\(132\) | 108.476i | 0.821790i | ||||||||
\(133\) | −27.3763 | − | 30.4840i | −0.205837 | − | 0.229203i | ||||
\(134\) | −29.5414 | −0.220458 | ||||||||
\(135\) | −2.40612 | + | 2.86751i | −0.0178231 | + | 0.0212408i | ||||
\(136\) | −10.5192 | − | 28.9012i | −0.0773469 | − | 0.212509i | ||||
\(137\) | −9.70365 | − | 55.0321i | −0.0708296 | − | 0.401694i | −0.999524 | − | 0.0308487i | \(-0.990179\pi\) |
0.928695 | − | 0.370846i | \(-0.120932\pi\) | |||||||
\(138\) | 2.98592 | − | 16.9340i | 0.0216371 | − | 0.122710i | ||||
\(139\) | −29.3794 | − | 10.6932i | −0.211363 | − | 0.0769298i | 0.234169 | − | 0.972196i | \(-0.424763\pi\) |
−0.445532 | + | 0.895266i | \(0.646985\pi\) | |||||||
\(140\) | 3.00705 | + | 5.20836i | 0.0214789 | + | 0.0372026i | ||||
\(141\) | −81.2582 | − | 46.9145i | −0.576300 | − | 0.332727i | ||||
\(142\) | −25.3076 | + | 21.2356i | −0.178223 | + | 0.149547i | ||||
\(143\) | −60.3432 | − | 71.9142i | −0.421980 | − | 0.502896i | ||||
\(144\) | 21.7093 | − | 37.6017i | 0.150759 | − | 0.261123i | ||||
\(145\) | 4.36367 | − | 2.51937i | 0.0300943 | − | 0.0173749i | ||||
\(146\) | 3.97972 | − | 10.9342i | 0.0272584 | − | 0.0748918i | ||||
\(147\) | 75.6490 | + | 13.3390i | 0.514619 | + | 0.0907412i | ||||
\(148\) | −97.1398 | + | 17.1284i | −0.656350 | + | 0.115732i | ||||
\(149\) | 74.9979 | − | 27.2970i | 0.503341 | − | 0.183201i | −0.0778549 | − | 0.996965i | \(-0.524807\pi\) |
0.581196 | + | 0.813763i | \(0.302585\pi\) | |||||||
\(150\) | 11.6501 | + | 9.77561i | 0.0776675 | + | 0.0651707i | ||||
\(151\) | 127.234i | 0.842607i | 0.906920 | + | 0.421303i | \(0.138427\pi\) | ||||
−0.906920 | + | 0.421303i | \(0.861573\pi\) | |||||||
\(152\) | −50.9932 | − | 16.6420i | −0.335481 | − | 0.109487i | ||||
\(153\) | 32.6825 | 0.213611 | ||||||||
\(154\) | 8.04270 | − | 9.58492i | 0.0522253 | − | 0.0622397i | ||||
\(155\) | −5.95389 | − | 16.3582i | −0.0384122 | − | 0.105537i | ||||
\(156\) | 6.75686 | + | 38.3200i | 0.0433132 | + | 0.245641i | ||||
\(157\) | 37.6859 | − | 213.727i | 0.240038 | − | 1.36132i | −0.591703 | − | 0.806156i | \(-0.701544\pi\) |
0.831740 | − | 0.555165i | \(-0.187345\pi\) | |||||||
\(158\) | 48.7874 | + | 17.7571i | 0.308781 | + | 0.112387i | ||||
\(159\) | −26.1027 | − | 45.2112i | −0.164168 | − | 0.284347i | ||||
\(160\) | 10.2837 | + | 5.93730i | 0.0642731 | + | 0.0371081i | ||||
\(161\) | 45.7249 | − | 38.3678i | 0.284006 | − | 0.238309i | ||||
\(162\) | −2.07489 | − | 2.47276i | −0.0128080 | − | 0.0152640i | ||||
\(163\) | 102.940 | − | 178.297i | 0.631533 | − | 1.09385i | −0.355705 | − | 0.934598i | \(-0.615759\pi\) |
0.987238 | − | 0.159249i | \(-0.0509073\pi\) | |||||||
\(164\) | −100.986 | + | 58.3042i | −0.615768 | + | 0.355514i | ||||
\(165\) | 6.90385 | − | 18.9682i | 0.0418415 | − | 0.114959i | ||||
\(166\) | −46.3900 | − | 8.17980i | −0.279458 | − | 0.0492759i | ||||
\(167\) | 74.6068 | − | 13.1552i | 0.446747 | − | 0.0787736i | 0.0542512 | − | 0.998527i | \(-0.482723\pi\) |
0.392496 | + | 0.919754i | \(0.371612\pi\) | |||||||
\(168\) | −9.90878 | + | 3.60650i | −0.0589809 | + | 0.0214673i | ||||
\(169\) | 103.665 | + | 86.9856i | 0.613405 | + | 0.514708i | ||||
\(170\) | 2.81481i | 0.0165577i | ||||||||
\(171\) | 35.1510 | − | 44.8710i | 0.205562 | − | 0.262403i | ||||
\(172\) | 18.0151 | 0.104739 | ||||||||
\(173\) | −215.744 | + | 257.114i | −1.24708 | + | 1.48621i | −0.437471 | + | 0.899233i | \(0.644126\pi\) |
−0.809605 | + | 0.586975i | \(0.800319\pi\) | |||||||
\(174\) | 1.48611 | + | 4.08305i | 0.00854086 | + | 0.0234658i | ||||
\(175\) | 9.16723 | + | 51.9899i | 0.0523842 | + | 0.297085i | ||||
\(176\) | −40.6570 | + | 230.577i | −0.231006 | + | 1.31010i | ||||
\(177\) | −112.833 | − | 41.0678i | −0.637474 | − | 0.232021i | ||||
\(178\) | 24.1065 | + | 41.7536i | 0.135430 | + | 0.234571i | ||||
\(179\) | 202.013 | + | 116.632i | 1.12856 | + | 0.651575i | 0.943573 | − | 0.331165i | \(-0.107442\pi\) |
0.184989 | + | 0.982741i | \(0.440775\pi\) | |||||||
\(180\) | −6.40926 | + | 5.37800i | −0.0356070 | + | 0.0298778i | ||||
\(181\) | 15.5525 | + | 18.5347i | 0.0859252 | + | 0.102402i | 0.807294 | − | 0.590149i | \(-0.200931\pi\) |
−0.721369 | + | 0.692551i | \(0.756487\pi\) | |||||||
\(182\) | 2.24411 | − | 3.88691i | 0.0123303 | − | 0.0213567i | ||||
\(183\) | −31.6305 | + | 18.2619i | −0.172844 | + | 0.0997916i | ||||
\(184\) | 26.7269 | − | 73.4316i | 0.145255 | − | 0.399085i | ||||
\(185\) | 18.0760 | + | 3.18729i | 0.0977081 | + | 0.0172286i | ||||
\(186\) | 14.7835 | − | 2.60674i | 0.0794814 | − | 0.0140147i | ||||
\(187\) | −165.612 | + | 60.2777i | −0.885623 | + | 0.322340i | ||||
\(188\) | −160.655 | − | 134.805i | −0.854547 | − | 0.717050i | ||||
\(189\) | − | 11.2052i | − | 0.0592868i | ||||||
\(190\) | 3.86455 | + | 3.02741i | 0.0203397 | + | 0.0159338i | ||||
\(191\) | 261.584 | 1.36955 | 0.684776 | − | 0.728754i | \(-0.259900\pi\) | ||||
0.684776 | + | 0.728754i | \(0.259900\pi\) | |||||||
\(192\) | 57.8709 | − | 68.9679i | 0.301411 | − | 0.359208i | ||||
\(193\) | −37.6829 | − | 103.533i | −0.195248 | − | 0.536439i | 0.802976 | − | 0.596011i | \(-0.203249\pi\) |
−0.998224 | + | 0.0595719i | \(0.981026\pi\) | |||||||
\(194\) | 6.35883 | + | 36.0627i | 0.0327775 | + | 0.185890i | ||||
\(195\) | 1.25733 | − | 7.13068i | 0.00644785 | − | 0.0365676i | ||||
\(196\) | 161.339 | + | 58.7228i | 0.823161 | + | 0.299606i | ||||
\(197\) | 114.340 | + | 198.042i | 0.580405 | + | 1.00529i | 0.995431 | + | 0.0954814i | \(0.0304391\pi\) |
−0.415026 | + | 0.909809i | \(0.636228\pi\) | |||||||
\(198\) | 15.0747 | + | 8.70337i | 0.0761348 | + | 0.0439564i | ||||
\(199\) | −82.2782 | + | 69.0396i | −0.413458 | + | 0.346933i | −0.825668 | − | 0.564156i | \(-0.809202\pi\) |
0.412210 | + | 0.911089i | \(0.364757\pi\) | |||||||
\(200\) | 44.4256 | + | 52.9443i | 0.222128 | + | 0.264722i | ||||
\(201\) | 71.3306 | − | 123.548i | 0.354879 | − | 0.614668i | ||||
\(202\) | 49.4791 | − | 28.5668i | 0.244946 | − | 0.141420i | ||||
\(203\) | −5.15872 | + | 14.1735i | −0.0254124 | + | 0.0698201i | ||||
\(204\) | 71.9400 | + | 12.6850i | 0.352647 | + | 0.0621811i | ||||
\(205\) | 21.3691 | − | 3.76795i | 0.104240 | − | 0.0183802i | ||||
\(206\) | −30.7283 | + | 11.1842i | −0.149166 | + | 0.0542921i | ||||
\(207\) | 63.6116 | + | 53.3765i | 0.307302 | + | 0.257857i | ||||
\(208\) | 83.9857i | 0.403777i | ||||||||
\(209\) | −95.3629 | + | 292.204i | −0.456282 | + | 1.39811i | ||||
\(210\) | 0.965058 | 0.00459551 | ||||||||
\(211\) | 155.943 | − | 185.845i | 0.739065 | − | 0.880784i | −0.257268 | − | 0.966340i | \(-0.582822\pi\) |
0.996333 | + | 0.0855565i | \(0.0272668\pi\) | |||||||
\(212\) | −39.9090 | − | 109.649i | −0.188250 | − | 0.517212i | ||||
\(213\) | −27.7040 | − | 157.117i | −0.130066 | − | 0.737639i | ||||
\(214\) | 11.8920 | − | 67.4428i | 0.0555700 | − | 0.315153i | ||||
\(215\) | −3.15012 | − | 1.14655i | −0.0146517 | − | 0.00533279i | ||||
\(216\) | −7.33479 | − | 12.7042i | −0.0339574 | − | 0.0588159i | ||||
\(217\) | 45.1283 | + | 26.0549i | 0.207965 | + | 0.120068i | ||||
\(218\) | 48.1319 | − | 40.3875i | 0.220789 | − | 0.185264i | ||||
\(219\) | 36.1196 | + | 43.0457i | 0.164930 | + | 0.196556i | ||||
\(220\) | 22.5586 | − | 39.0727i | 0.102539 | − | 0.177603i | ||||
\(221\) | −54.7489 | + | 31.6093i | −0.247732 | + | 0.143028i | ||||
\(222\) | −5.41353 | + | 14.8735i | −0.0243853 | + | 0.0669980i | ||||
\(223\) | 23.3901 | + | 4.12430i | 0.104888 | + | 0.0184946i | 0.225846 | − | 0.974163i | \(-0.427485\pi\) |
−0.120958 | + | 0.992658i | \(0.538597\pi\) | |||||||
\(224\) | −35.0058 | + | 6.17246i | −0.156276 | + | 0.0275556i | ||||
\(225\) | −69.0139 | + | 25.1190i | −0.306729 | + | 0.111640i | ||||
\(226\) | −12.7819 | − | 10.7253i | −0.0565573 | − | 0.0474572i | ||||
\(227\) | − | 347.364i | − | 1.53024i | −0.643889 | − | 0.765119i | \(-0.722680\pi\) | ||
0.643889 | − | 0.765119i | \(-0.277320\pi\) | |||||||
\(228\) | 94.7892 | − | 85.1258i | 0.415742 | − | 0.373359i | ||||
\(229\) | −208.987 | −0.912606 | −0.456303 | − | 0.889825i | \(-0.650827\pi\) | ||||
−0.456303 | + | 0.889825i | \(0.650827\pi\) | |||||||
\(230\) | −4.59709 | + | 5.47860i | −0.0199874 | + | 0.0238200i | ||||
\(231\) | 20.6662 | + | 56.7799i | 0.0894641 | + | 0.245801i | ||||
\(232\) | 3.42893 | + | 19.4464i | 0.0147799 | + | 0.0838208i | ||||
\(233\) | −18.3251 | + | 103.927i | −0.0786485 | + | 0.446038i | 0.919899 | + | 0.392156i | \(0.128271\pi\) |
−0.998547 | + | 0.0538821i | \(0.982840\pi\) | |||||||
\(234\) | 5.86737 | + | 2.13555i | 0.0250742 | + | 0.00912627i | ||||
\(235\) | 19.5126 | + | 33.7968i | 0.0830323 | + | 0.143816i | ||||
\(236\) | −232.425 | − | 134.191i | −0.984853 | − | 0.568605i | ||||
\(237\) | −192.066 | + | 161.162i | −0.810404 | + | 0.680010i | ||||
\(238\) | −5.41609 | − | 6.45465i | −0.0227567 | − | 0.0271204i | ||||
\(239\) | −204.748 | + | 354.633i | −0.856684 | + | 1.48382i | 0.0183890 | + | 0.999831i | \(0.494146\pi\) |
−0.875073 | + | 0.483990i | \(0.839187\pi\) | |||||||
\(240\) | −15.6392 | + | 9.02931i | −0.0651634 | + | 0.0376221i | ||||
\(241\) | 27.1102 | − | 74.4848i | 0.112491 | − | 0.309065i | −0.870654 | − | 0.491896i | \(-0.836304\pi\) |
0.983144 | + | 0.182831i | \(0.0585261\pi\) | |||||||
\(242\) | −49.7008 | − | 8.76359i | −0.205375 | − | 0.0362132i | ||||
\(243\) | 15.3516 | − | 2.70691i | 0.0631754 | − | 0.0111395i | ||||
\(244\) | −76.7121 | + | 27.9209i | −0.314394 | + | 0.114430i | ||||
\(245\) | −24.4745 | − | 20.5365i | −0.0998959 | − | 0.0838226i | ||||
\(246\) | 18.7117i | 0.0760638i | ||||||||
\(247\) | −15.4866 | + | 109.163i | −0.0626987 | + | 0.441957i | ||||
\(248\) | 68.2207 | 0.275084 | ||||||||
\(249\) | 146.223 | − | 174.261i | 0.587240 | − | 0.699845i | ||||
\(250\) | −4.37265 | − | 12.0138i | −0.0174906 | − | 0.0480551i | ||||
\(251\) | −35.6633 | − | 202.257i | −0.142085 | − | 0.805803i | −0.969662 | − | 0.244451i | \(-0.921392\pi\) |
0.827577 | − | 0.561352i | \(-0.189719\pi\) | |||||||
\(252\) | 4.34904 | − | 24.6646i | 0.0172581 | − | 0.0978755i | ||||
\(253\) | −420.782 | − | 153.152i | −1.66317 | − | 0.605344i | ||||
\(254\) | 14.1248 | + | 24.4649i | 0.0556095 | + | 0.0963185i | ||||
\(255\) | −11.7721 | − | 6.79663i | −0.0461651 | − | 0.0266535i | ||||
\(256\) | 136.037 | − | 114.148i | 0.531394 | − | 0.445892i | ||||
\(257\) | −195.616 | − | 233.126i | −0.761153 | − | 0.907107i | 0.236768 | − | 0.971566i | \(-0.423912\pi\) |
−0.997920 | + | 0.0644598i | \(0.979468\pi\) | |||||||
\(258\) | 1.44540 | − | 2.50351i | 0.00560234 | − | 0.00970353i | ||||
\(259\) | −47.5829 | + | 27.4720i | −0.183718 | + | 0.106070i | ||||
\(260\) | 5.53521 | − | 15.2079i | 0.0212893 | − | 0.0584918i | ||||
\(261\) | −20.6645 | − | 3.64371i | −0.0791744 | − | 0.0139606i | ||||
\(262\) | −67.1793 | + | 11.8455i | −0.256410 | + | 0.0452120i | ||||
\(263\) | 221.961 | − | 80.7872i | 0.843958 | − | 0.307176i | 0.116383 | − | 0.993204i | \(-0.462870\pi\) |
0.727574 | + | 0.686029i | \(0.240648\pi\) | |||||||
\(264\) | 60.5983 | + | 50.8480i | 0.229539 | + | 0.192606i | ||||
\(265\) | 21.7132i | 0.0819366i | ||||||||
\(266\) | −14.6870 | + | 0.493774i | −0.0552142 | + | 0.00185629i | ||||
\(267\) | −232.830 | −0.872021 | ||||||||
\(268\) | 204.963 | − | 244.266i | 0.764789 | − | 0.911440i | ||||
\(269\) | 2.21200 | + | 6.07741i | 0.00822304 | + | 0.0225926i | 0.943736 | − | 0.330699i | \(-0.107285\pi\) |
−0.935513 | + | 0.353292i | \(0.885062\pi\) | |||||||
\(270\) | 0.233135 | + | 1.32217i | 0.000863462 | + | 0.00489693i | ||||
\(271\) | −12.9180 | + | 73.2619i | −0.0476681 | + | 0.270339i | −0.999321 | − | 0.0368352i | \(-0.988272\pi\) |
0.951653 | + | 0.307174i | \(0.0993834\pi\) | |||||||
\(272\) | 148.161 | + | 53.9264i | 0.544711 | + | 0.198259i | ||||
\(273\) | 10.8372 | + | 18.7707i | 0.0396969 | + | 0.0687570i | ||||
\(274\) | −17.3573 | − | 10.0212i | −0.0633477 | − | 0.0365738i | ||||
\(275\) | 303.385 | − | 254.570i | 1.10322 | − | 0.925710i | ||||
\(276\) | 119.303 | + | 142.180i | 0.432259 | + | 0.515146i | ||||
\(277\) | −143.241 | + | 248.102i | −0.517117 | + | 0.895673i | 0.482685 | + | 0.875794i | \(0.339662\pi\) |
−0.999802 | + | 0.0198794i | \(0.993672\pi\) | |||||||
\(278\) | −9.71123 | + | 5.60678i | −0.0349325 | + | 0.0201683i | ||||
\(279\) | −24.7944 | + | 68.1220i | −0.0888688 | + | 0.244165i | ||||
\(280\) | 4.31911 | + | 0.761575i | 0.0154254 | + | 0.00271991i | ||||
\(281\) | 53.7051 | − | 9.46965i | 0.191121 | − | 0.0336998i | −0.0772681 | − | 0.997010i | \(-0.524620\pi\) |
0.268389 | + | 0.963311i | \(0.413509\pi\) | |||||||
\(282\) | −31.6234 | + | 11.5100i | −0.112140 | + | 0.0408155i | ||||
\(283\) | 330.402 | + | 277.240i | 1.16750 | + | 0.979647i | 0.999981 | − | 0.00622233i | \(-0.00198064\pi\) |
0.167517 | + | 0.985869i | \(0.446425\pi\) | |||||||
\(284\) | − | 356.595i | − | 1.25562i | ||||||
\(285\) | −21.9926 | + | 8.85236i | −0.0771670 | + | 0.0310609i | ||||
\(286\) | −33.6703 | −0.117728 | ||||||||
\(287\) | −41.7515 | + | 49.7575i | −0.145476 | + | 0.173371i | ||||
\(288\) | −16.9131 | − | 46.4684i | −0.0587260 | − | 0.161348i | ||||
\(289\) | −29.5752 | − | 167.729i | −0.102336 | − | 0.580379i | ||||
\(290\) | 0.313818 | − | 1.77975i | 0.00108213 | − | 0.00613706i | ||||
\(291\) | −166.176 | − | 60.4830i | −0.571050 | − | 0.207845i | ||||
\(292\) | 62.7984 | + | 108.770i | 0.215063 | + | 0.372500i | ||||
\(293\) | 259.969 | + | 150.093i | 0.887265 | + | 0.512262i | 0.873047 | − | 0.487636i | \(-0.162141\pi\) |
0.0142179 | + | 0.999899i | \(0.495474\pi\) | |||||||
\(294\) | 21.1053 | − | 17.7095i | 0.0717868 | − | 0.0602363i | ||||
\(295\) | 32.1015 | + | 38.2571i | 0.108819 | + | 0.129685i | ||||
\(296\) | −35.9657 | + | 62.2944i | −0.121506 | + | 0.210454i | ||||
\(297\) | −72.7986 | + | 42.0303i | −0.245113 | + | 0.141516i | ||||
\(298\) | 9.79041 | − | 26.8989i | 0.0328537 | − | 0.0902648i | ||||
\(299\) | −158.184 | − | 27.8921i | −0.529044 | − | 0.0932847i | ||||
\(300\) | −161.661 | + | 28.5052i | −0.538870 | + | 0.0950174i | ||||
\(301\) | 9.42966 | − | 3.43212i | 0.0313278 | − | 0.0114024i | ||||
\(302\) | 34.9576 | + | 29.3329i | 0.115754 | + | 0.0971289i | ||||
\(303\) | 275.909i | 0.910591i | ||||||||
\(304\) | 233.389 | − | 145.417i | 0.767728 | − | 0.478344i | ||||
\(305\) | 15.1909 | 0.0498062 | ||||||||
\(306\) | 7.53475 | − | 8.97957i | 0.0246234 | − | 0.0293450i | ||||
\(307\) | 85.2109 | + | 234.115i | 0.277560 | + | 0.762589i | 0.997638 | + | 0.0686959i | \(0.0218838\pi\) |
−0.720078 | + | 0.693893i | \(0.755894\pi\) | |||||||
\(308\) | 23.4521 | + | 133.004i | 0.0761433 | + | 0.431830i | ||||
\(309\) | 27.4219 | − | 155.517i | 0.0887439 | − | 0.503292i | ||||
\(310\) | −5.86707 | − | 2.13544i | −0.0189260 | − | 0.00688851i | ||||
\(311\) | 213.241 | + | 369.344i | 0.685662 | + | 1.18760i | 0.973228 | + | 0.229840i | \(0.0738203\pi\) |
−0.287567 | + | 0.957761i | \(0.592846\pi\) | |||||||
\(312\) | 24.5741 | + | 14.1879i | 0.0787631 | + | 0.0454739i | ||||
\(313\) | −238.067 | + | 199.762i | −0.760599 | + | 0.638218i | −0.938283 | − | 0.345869i | \(-0.887584\pi\) |
0.177684 | + | 0.984088i | \(0.443140\pi\) | |||||||
\(314\) | −50.0337 | − | 59.6278i | −0.159343 | − | 0.189897i | ||||
\(315\) | −2.33023 | + | 4.03607i | −0.00739754 | + | 0.0128129i | ||||
\(316\) | −485.322 | + | 280.201i | −1.53583 | + | 0.886711i | ||||
\(317\) | 89.0877 | − | 244.766i | 0.281034 | − | 0.772133i | −0.716206 | − | 0.697888i | \(-0.754123\pi\) |
0.997240 | − | 0.0742450i | \(-0.0236547\pi\) | |||||||
\(318\) | −18.4397 | − | 3.25141i | −0.0579864 | − | 0.0102246i | ||||
\(319\) | 111.433 | − | 19.6487i | 0.349320 | − | 0.0615946i | ||||
\(320\) | −35.1874 | + | 12.8072i | −0.109960 | + | 0.0400223i | ||||
\(321\) | 253.345 | + | 212.582i | 0.789238 | + | 0.662249i | ||||
\(322\) | − | 21.4084i | − | 0.0664859i | ||||||
\(323\) | 182.634 | + | 97.4130i | 0.565431 | + | 0.301588i | ||||
\(324\) | 34.8423 | 0.107538 | ||||||||
\(325\) | 91.3161 | − | 108.826i | 0.280973 | − | 0.334850i | ||||
\(326\) | −25.2552 | − | 69.3882i | −0.0774700 | − | 0.212847i | ||||
\(327\) | 52.6895 | + | 298.817i | 0.161130 | + | 0.913813i | ||||
\(328\) | −14.7663 | + | 83.7440i | −0.0450193 | + | 0.255317i | ||||
\(329\) | −109.774 | − | 39.9545i | −0.333660 | − | 0.121442i | ||||
\(330\) | −3.61989 | − | 6.26984i | −0.0109694 | − | 0.0189995i | ||||
\(331\) | 184.129 | + | 106.307i | 0.556280 | + | 0.321169i | 0.751651 | − | 0.659561i | \(-0.229258\pi\) |
−0.195371 | + | 0.980729i | \(0.562591\pi\) | |||||||
\(332\) | 389.497 | − | 326.827i | 1.17318 | − | 0.984418i | ||||
\(333\) | −49.1327 | − | 58.5541i | −0.147546 | − | 0.175838i | ||||
\(334\) | 13.5857 | − | 23.5312i | 0.0406758 | − | 0.0704526i | ||||
\(335\) | −51.3860 | + | 29.6677i | −0.153391 | + | 0.0885603i | ||||
\(336\) | 18.4887 | − | 50.7972i | 0.0550258 | − | 0.151182i | ||||
\(337\) | −114.982 | − | 20.2745i | −0.341194 | − | 0.0601618i | 0.000425750 | − | 1.00000i | \(-0.499864\pi\) |
−0.341620 | + | 0.939838i | \(0.610976\pi\) | |||||||
\(338\) | 47.7988 | − | 8.42822i | 0.141417 | − | 0.0249356i | ||||
\(339\) | 75.7188 | − | 27.5594i | 0.223359 | − | 0.0812961i | ||||
\(340\) | −23.2745 | − | 19.5296i | −0.0684545 | − | 0.0574401i | ||||
\(341\) | − | 390.923i | − | 1.14640i | ||||||
\(342\) | −4.22451 | − | 20.0025i | −0.0123524 | − | 0.0584869i | ||||
\(343\) | 201.303 | 0.586891 | ||||||||
\(344\) | 8.44453 | − | 10.0638i | 0.0245481 | − | 0.0292552i | ||||
\(345\) | −11.8125 | − | 32.4546i | −0.0342392 | − | 0.0940713i | ||||
\(346\) | 20.9039 | + | 118.552i | 0.0604160 | + | 0.342636i | ||||
\(347\) | 61.0823 | − | 346.415i | 0.176030 | − | 0.998314i | −0.760919 | − | 0.648847i | \(-0.775252\pi\) |
0.936949 | − | 0.349467i | \(-0.113637\pi\) | |||||||
\(348\) | −44.0720 | − | 16.0409i | −0.126644 | − | 0.0460945i | ||||
\(349\) | −106.501 | − | 184.464i | −0.305159 | − | 0.528551i | 0.672137 | − | 0.740426i | \(-0.265376\pi\) |
−0.977297 | + | 0.211875i | \(0.932043\pi\) | |||||||
\(350\) | 16.3978 | + | 9.46725i | 0.0468507 | + | 0.0270493i | ||||
\(351\) | −23.0986 | + | 19.3820i | −0.0658080 | + | 0.0552195i | ||||
\(352\) | 171.407 | + | 204.275i | 0.486951 | + | 0.580326i | ||||
\(353\) | −329.311 | + | 570.384i | −0.932893 | + | 1.61582i | −0.154545 | + | 0.987986i | \(0.549391\pi\) |
−0.778348 | + | 0.627833i | \(0.783942\pi\) | |||||||
\(354\) | −37.2963 | + | 21.5331i | −0.105357 | + | 0.0608278i | ||||
\(355\) | −22.6951 | + | 62.3542i | −0.0639298 | + | 0.175646i | ||||
\(356\) | −512.498 | − | 90.3673i | −1.43960 | − | 0.253841i | ||||
\(357\) | 40.0723 | − | 7.06583i | 0.112247 | − | 0.0197922i | ||||
\(358\) | 78.6175 | − | 28.6144i | 0.219602 | − | 0.0799286i | ||||
\(359\) | −330.040 | − | 276.936i | −0.919332 | − | 0.771411i | 0.0545397 | − | 0.998512i | \(-0.482631\pi\) |
−0.973871 | + | 0.227101i | \(0.927075\pi\) | |||||||
\(360\) | 6.10135i | 0.0169482i | ||||||||
\(361\) | 330.170 | − | 145.974i | 0.914599 | − | 0.404361i | ||||
\(362\) | 8.67796 | 0.0239723 | ||||||||
\(363\) | 156.658 | − | 186.698i | 0.431566 | − | 0.514320i | ||||
\(364\) | 16.5693 | + | 45.5237i | 0.0455200 | + | 0.125065i | ||||
\(365\) | −4.05839 | − | 23.0163i | −0.0111189 | − | 0.0630583i | ||||
\(366\) | −2.27474 | + | 12.9007i | −0.00621513 | + | 0.0352477i | ||||
\(367\) | −548.246 | − | 199.545i | −1.49386 | − | 0.543720i | −0.539396 | − | 0.842052i | \(-0.681347\pi\) |
−0.954462 | + | 0.298332i | \(0.903570\pi\) | |||||||
\(368\) | 200.302 | + | 346.934i | 0.544300 | + | 0.942755i | ||||
\(369\) | −78.2561 | − | 45.1812i | −0.212076 | − | 0.122442i | ||||
\(370\) | 5.04302 | − | 4.23160i | 0.0136298 | − | 0.0114368i | ||||
\(371\) | −41.7792 | − | 49.7906i | −0.112613 | − | 0.134206i | ||||
\(372\) | −81.0168 | + | 140.325i | −0.217787 | + | 0.377218i | ||||
\(373\) | 4.32220 | − | 2.49542i | 0.0115877 | − | 0.00669014i | −0.494195 | − | 0.869351i | \(-0.664537\pi\) |
0.505783 | + | 0.862661i | \(0.331204\pi\) | |||||||
\(374\) | −21.6193 | + | 59.3986i | −0.0578057 | + | 0.158820i | ||||
\(375\) | 60.8022 | + | 10.7211i | 0.162139 | + | 0.0285895i | ||||
\(376\) | −150.613 | + | 26.5572i | −0.400567 | + | 0.0706308i | ||||
\(377\) | 38.1407 | − | 13.8821i | 0.101169 | − | 0.0368225i | ||||
\(378\) | −3.07865 | − | 2.58329i | −0.00814457 | − | 0.00683410i | ||||
\(379\) | − | 492.224i | − | 1.29874i | −0.760471 | − | 0.649372i | \(-0.775032\pi\) | ||
0.760471 | − | 0.649372i | \(-0.224968\pi\) | |||||||
\(380\) | −51.8454 | + | 10.9497i | −0.136435 | + | 0.0288149i | ||||
\(381\) | −136.423 | −0.358066 | ||||||||
\(382\) | 60.3066 | − | 71.8707i | 0.157871 | − | 0.188143i | ||||
\(383\) | −89.2554 | − | 245.227i | −0.233043 | − | 0.640280i | 0.766956 | − | 0.641699i | \(-0.221770\pi\) |
−0.999999 | + | 0.00141963i | \(0.999548\pi\) | |||||||
\(384\) | −25.4381 | − | 144.266i | −0.0662450 | − | 0.375694i | ||||
\(385\) | 4.36403 | − | 24.7496i | 0.0113351 | − | 0.0642847i | ||||
\(386\) | −37.1333 | − | 13.5154i | −0.0962004 | − | 0.0350141i | ||||
\(387\) | 6.98013 | + | 12.0899i | 0.0180365 | + | 0.0312401i | ||||
\(388\) | −342.306 | − | 197.631i | −0.882233 | − | 0.509358i | ||||
\(389\) | 8.53990 | − | 7.16583i | 0.0219535 | − | 0.0184211i | −0.631745 | − | 0.775176i | \(-0.717661\pi\) |
0.653698 | + | 0.756755i | \(0.273217\pi\) | |||||||
\(390\) | −1.66929 | − | 1.98939i | −0.00428024 | − | 0.00510099i | ||||
\(391\) | −150.774 | + | 261.148i | −0.385610 | + | 0.667897i | ||||
\(392\) | 108.432 | − | 62.6033i | 0.276612 | − | 0.159702i | ||||
\(393\) | 112.671 | − | 309.560i | 0.286694 | − | 0.787684i | ||||
\(394\) | 80.7727 | + | 14.2424i | 0.205007 | + | 0.0361483i | ||||
\(395\) | 102.697 | − | 18.1082i | 0.259991 | − | 0.0458435i | ||||
\(396\) | −176.555 | + | 64.2609i | −0.445847 | + | 0.162275i | ||||
\(397\) | 106.929 | + | 89.7245i | 0.269344 | + | 0.226006i | 0.767448 | − | 0.641111i | \(-0.221526\pi\) |
−0.498105 | + | 0.867117i | \(0.665971\pi\) | |||||||
\(398\) | 38.5227i | 0.0967907i | ||||||||
\(399\) | 33.3981 | − | 62.6162i | 0.0837044 | − | 0.156933i | ||||
\(400\) | −354.311 | −0.885778 | ||||||||
\(401\) | −144.410 | + | 172.101i | −0.360124 | + | 0.429179i | −0.915436 | − | 0.402463i | \(-0.868154\pi\) |
0.555312 | + | 0.831642i | \(0.312599\pi\) | |||||||
\(402\) | −17.5002 | − | 48.0815i | −0.0435329 | − | 0.119606i | ||||
\(403\) | −24.3501 | − | 138.096i | −0.0604221 | − | 0.342671i | ||||
\(404\) | −107.088 | + | 607.324i | −0.265069 | + | 1.50328i | ||||
\(405\) | −6.09252 | − | 2.21750i | −0.0150433 | − | 0.00547530i | ||||
\(406\) | 2.70487 | + | 4.68497i | 0.00666224 | + | 0.0115393i | ||||
\(407\) | 356.963 | + | 206.093i | 0.877059 | + | 0.506370i | ||||
\(408\) | 40.8079 | − | 34.2419i | 0.100019 | − | 0.0839263i | ||||
\(409\) | 68.7903 | + | 81.9811i | 0.168191 | + | 0.200443i | 0.843556 | − | 0.537041i | \(-0.180458\pi\) |
−0.675364 | + | 0.737484i | \(0.736014\pi\) | |||||||
\(410\) | 3.89127 | − | 6.73987i | 0.00949089 | − | 0.0164387i | ||||
\(411\) | 83.8216 | − | 48.3944i | 0.203946 | − | 0.117748i | ||||
\(412\) | 120.721 | − | 331.677i | 0.293011 | − | 0.805042i | ||||
\(413\) | −147.224 | − | 25.9596i | −0.356475 | − | 0.0628561i | ||||
\(414\) | 29.3305 | − | 5.17176i | 0.0708467 | − | 0.0124922i | ||||
\(415\) | −88.9080 | + | 32.3599i | −0.214236 | + | 0.0779756i | ||||
\(416\) | 73.2747 | + | 61.4848i | 0.176141 | + | 0.147800i | ||||
\(417\) | − | 54.1525i | − | 0.129862i | ||||||
\(418\) | 58.2982 | + | 93.5670i | 0.139469 | + | 0.223844i | ||||
\(419\) | −258.222 | −0.616283 | −0.308141 | − | 0.951341i | \(-0.599707\pi\) | ||||
−0.308141 | + | 0.951341i | \(0.599707\pi\) | |||||||
\(420\) | −6.69574 | + | 7.97967i | −0.0159422 | + | 0.0189992i | ||||
\(421\) | −231.591 | − | 636.292i | −0.550098 | − | 1.51138i | −0.833577 | − | 0.552404i | \(-0.813711\pi\) |
0.283478 | − | 0.958979i | \(-0.408512\pi\) | |||||||
\(422\) | −15.1096 | − | 85.6910i | −0.0358048 | − | 0.203059i | ||||
\(423\) | 28.2207 | − | 160.047i | 0.0667156 | − | 0.378363i | ||||
\(424\) | −79.9607 | − | 29.1033i | −0.188587 | − | 0.0686399i | ||||
\(425\) | −133.350 | − | 230.970i | −0.313766 | − | 0.543458i | ||||
\(426\) | −49.5551 | − | 28.6107i | −0.116327 | − | 0.0671612i | ||||
\(427\) | −34.8342 | + | 29.2294i | −0.0815790 | + | 0.0684529i | ||||
\(428\) | 475.149 | + | 566.260i | 1.11016 | + | 1.32304i | ||||
\(429\) | 81.3001 | − | 140.816i | 0.189511 | − | 0.328242i | ||||
\(430\) | −1.04126 | + | 0.601169i | −0.00242153 | + | 0.00139807i | ||||
\(431\) | −124.600 | + | 342.337i | −0.289096 | + | 0.794284i | 0.707098 | + | 0.707116i | \(0.250004\pi\) |
−0.996194 | + | 0.0871686i | \(0.972218\pi\) | |||||||
\(432\) | 74.0608 | + | 13.0589i | 0.171437 | + | 0.0302290i | ||||
\(433\) | 766.189 | − | 135.100i | 1.76949 | − | 0.312009i | 0.808480 | − | 0.588523i | \(-0.200290\pi\) |
0.961010 | + | 0.276514i | \(0.0891793\pi\) | |||||||
\(434\) | 17.5627 | − | 6.39229i | 0.0404670 | − | 0.0147288i | ||||
\(435\) | 6.68553 | + | 5.60983i | 0.0153690 | + | 0.0128961i | ||||
\(436\) | 678.199i | 1.55550i | ||||||||
\(437\) | 196.377 | + | 487.874i | 0.449375 | + | 1.11642i | ||||
\(438\) | 20.1540 | 0.0460138 | ||||||||
\(439\) | 151.548 | − | 180.608i | 0.345212 | − | 0.411408i | −0.565303 | − | 0.824883i | \(-0.691241\pi\) |
0.910515 | + | 0.413475i | \(0.135685\pi\) | |||||||
\(440\) | −11.2530 | − | 30.9172i | −0.0255749 | − | 0.0702664i | ||||
\(441\) | 23.1038 | + | 131.028i | 0.0523895 | + | 0.297116i | ||||
\(442\) | −3.93732 | + | 22.3297i | −0.00890796 | + | 0.0505196i | ||||
\(443\) | −98.7157 | − | 35.9296i | −0.222835 | − | 0.0811051i | 0.228190 | − | 0.973617i | \(-0.426719\pi\) |
−0.451025 | + | 0.892511i | \(0.648941\pi\) | |||||||
\(444\) | −85.4233 | − | 147.958i | −0.192395 | − | 0.333238i | ||||
\(445\) | 83.8642 | + | 48.4190i | 0.188459 | + | 0.108807i | ||||
\(446\) | 6.52559 | − | 5.47562i | 0.0146314 | − | 0.0122772i | ||||
\(447\) | 88.8569 | + | 105.896i | 0.198785 | + | 0.236903i | ||||
\(448\) | 56.0454 | − | 97.0735i | 0.125101 | − | 0.216682i | ||||
\(449\) | −376.159 | + | 217.175i | −0.837770 | + | 0.483687i | −0.856506 | − | 0.516138i | \(-0.827369\pi\) |
0.0187356 | + | 0.999824i | \(0.494036\pi\) | |||||||
\(450\) | −9.00925 | + | 24.7527i | −0.0200206 | + | 0.0550060i | ||||
\(451\) | 479.875 | + | 84.6149i | 1.06402 | + | 0.187616i | ||||
\(452\) | 177.367 | − | 31.2745i | 0.392404 | − | 0.0691915i | ||||
\(453\) | −207.085 | + | 75.3727i | −0.457141 | + | 0.166386i | ||||
\(454\) | −95.4388 | − | 80.0826i | −0.210218 | − | 0.176393i | ||||
\(455\) | − | 9.01482i | − | 0.0198128i | ||||||
\(456\) | −3.12177 | − | 92.8549i | −0.00684598 | − | 0.203629i | ||||
\(457\) | −67.4126 | −0.147511 | −0.0737556 | − | 0.997276i | \(-0.523498\pi\) | ||||
−0.0737556 | + | 0.997276i | \(0.523498\pi\) | |||||||
\(458\) | −48.1806 | + | 57.4194i | −0.105198 | + | 0.125370i | ||||
\(459\) | 19.3610 | + | 53.1939i | 0.0421808 | + | 0.115891i | ||||
\(460\) | −13.4049 | − | 76.0230i | −0.0291411 | − | 0.165267i | ||||
\(461\) | 22.6445 | − | 128.423i | 0.0491204 | − | 0.278575i | −0.950348 | − | 0.311190i | \(-0.899272\pi\) |
0.999468 | + | 0.0326148i | \(0.0103835\pi\) | |||||||
\(462\) | 20.3648 | + | 7.41219i | 0.0440797 | + | 0.0160437i | ||||
\(463\) | 459.237 | + | 795.421i | 0.991872 | + | 1.71797i | 0.606130 | + | 0.795365i | \(0.292721\pi\) |
0.385742 | + | 0.922607i | \(0.373946\pi\) | |||||||
\(464\) | −87.6674 | − | 50.6148i | −0.188938 | − | 0.109084i | ||||
\(465\) | 23.0974 | − | 19.3811i | 0.0496719 | − | 0.0416797i | ||||
\(466\) | 24.3293 | + | 28.9945i | 0.0522088 | + | 0.0622200i | ||||
\(467\) | −5.05340 | + | 8.75274i | −0.0108210 | + | 0.0187425i | −0.871385 | − | 0.490599i | \(-0.836778\pi\) |
0.860564 | + | 0.509342i | \(0.170111\pi\) | |||||||
\(468\) | −58.3668 | + | 33.6981i | −0.124715 | + | 0.0720044i | ||||
\(469\) | 60.7484 | − | 166.905i | 0.129528 | − | 0.355874i | ||||
\(470\) | 13.7842 | + | 2.43053i | 0.0293281 | + | 0.00517134i | ||||
\(471\) | 370.187 | − | 65.2739i | 0.785959 | − | 0.138586i | ||||
\(472\) | −183.912 | + | 66.9386i | −0.389645 | + | 0.141819i | ||||
\(473\) | −57.6682 | − | 48.3894i | −0.121920 | − | 0.102303i | ||||
\(474\) | 89.9254i | 0.189716i | ||||||||
\(475\) | −460.528 | − | 65.3334i | −0.969534 | − | 0.137544i | ||||
\(476\) | 90.9486 | 0.191069 | ||||||||
\(477\) | 58.1224 | − | 69.2676i | 0.121850 | − | 0.145215i | ||||
\(478\) | 50.2327 | + | 138.013i | 0.105089 | + | 0.288731i | ||||
\(479\) | −16.6797 | − | 94.5955i | −0.0348220 | − | 0.197485i | 0.962434 | − | 0.271516i | \(-0.0875249\pi\) |
−0.997256 | + | 0.0740305i | \(0.976414\pi\) | |||||||
\(480\) | −3.57149 | + | 20.2549i | −0.00744061 | + | 0.0421978i | ||||
\(481\) | 138.937 | + | 50.5690i | 0.288851 | + | 0.105133i | ||||
\(482\) | −14.2147 | − | 24.6206i | −0.0294911 | − | 0.0510800i | ||||
\(483\) | 89.5345 | + | 51.6928i | 0.185372 | + | 0.107024i | ||||
\(484\) | 417.295 | − | 350.152i | 0.862180 | − | 0.723455i | ||||
\(485\) | 47.2778 | + | 56.3434i | 0.0974799 | + | 0.116172i | ||||
\(486\) | 2.79550 | − | 4.84194i | 0.00575205 | − | 0.00996285i | ||||
\(487\) | 25.3404 | − | 14.6303i | 0.0520336 | − | 0.0300416i | −0.473758 | − | 0.880655i | \(-0.657103\pi\) |
0.525791 | + | 0.850614i | \(0.323769\pi\) | |||||||
\(488\) | −20.3611 | + | 55.9417i | −0.0417236 | + | 0.114635i | ||||
\(489\) | 351.177 | + | 61.9219i | 0.718153 | + | 0.126630i | ||||
\(490\) | −11.2849 | + | 1.98983i | −0.0230304 | + | 0.00406088i | ||||
\(491\) | 152.437 | − | 55.4827i | 0.310463 | − | 0.112999i | −0.182090 | − | 0.983282i | \(-0.558286\pi\) |
0.492553 | + | 0.870283i | \(0.336064\pi\) | |||||||
\(492\) | −154.719 | − | 129.825i | −0.314470 | − | 0.263872i | ||||
\(493\) | − | 76.1986i | − | 0.154561i | ||||||
\(494\) | 26.4224 | + | 29.4219i | 0.0534867 | + | 0.0595585i | ||||
\(495\) | 34.9623 | 0.0706310 | ||||||||
\(496\) | −224.804 | + | 267.910i | −0.453233 | + | 0.540142i | ||||
\(497\) | −67.9362 | − | 186.653i | −0.136693 | − | 0.375560i | ||||
\(498\) | −14.1678 | − | 80.3498i | −0.0284495 | − | 0.161345i | ||||
\(499\) | 103.673 | − | 587.957i | 0.207761 | − | 1.17827i | −0.685275 | − | 0.728285i | \(-0.740318\pi\) |
0.893036 | − | 0.449986i | \(-0.148571\pi\) | |||||||
\(500\) | 129.675 | + | 47.1979i | 0.259350 | + | 0.0943958i | ||||
\(501\) | 65.6081 | + | 113.637i | 0.130954 | + | 0.226819i | ||||
\(502\) | −63.7922 | − | 36.8304i | −0.127076 | − | 0.0733674i | ||||
\(503\) | −426.663 | + | 358.013i | −0.848236 | + | 0.711755i | −0.959400 | − | 0.282047i | \(-0.908986\pi\) |
0.111164 | + | 0.993802i | \(0.464542\pi\) | |||||||
\(504\) | −11.7399 | − | 13.9910i | −0.0232934 | − | 0.0277599i | ||||
\(505\) | 57.3779 | − | 99.3814i | 0.113620 | − | 0.196795i | ||||
\(506\) | −139.087 | + | 80.3022i | −0.274876 | + | 0.158700i | ||||
\(507\) | −80.1664 | + | 220.255i | −0.158119 | + | 0.434429i | ||||
\(508\) | −300.291 | − | 52.9494i | −0.591124 | − | 0.104231i | ||||
\(509\) | −233.280 | + | 41.1336i | −0.458311 | + | 0.0808125i | −0.398037 | − | 0.917369i | \(-0.630308\pi\) |
−0.0602737 | + | 0.998182i | \(0.519197\pi\) | |||||||
\(510\) | −4.58137 | + | 1.66748i | −0.00898308 | + | 0.00326957i | ||||
\(511\) | 53.5929 | + | 44.9698i | 0.104878 | + | 0.0880035i | ||||
\(512\) | − | 402.001i | − | 0.785159i | ||||||
\(513\) | 93.8551 | + | 30.6303i | 0.182953 | + | 0.0597081i | ||||
\(514\) | −109.150 | −0.212354 | ||||||||
\(515\) | −42.2185 | + | 50.3140i | −0.0819776 | + | 0.0976971i | ||||
\(516\) | 10.6721 | + | 29.3212i | 0.0206823 | + | 0.0568241i | ||||
\(517\) | 152.180 | + | 863.054i | 0.294351 | + | 1.66935i | ||||
\(518\) | −3.42197 | + | 19.4070i | −0.00660612 | + | 0.0374652i | ||||
\(519\) | −546.283 | − | 198.831i | −1.05257 | − | 0.383104i | ||||
\(520\) | −5.90099 | − | 10.2208i | −0.0113481 | − | 0.0196554i | ||||
\(521\) | 380.612 | + | 219.746i | 0.730541 | + | 0.421778i | 0.818620 | − | 0.574335i | \(-0.194739\pi\) |
−0.0880790 | + | 0.996113i | \(0.528073\pi\) | |||||||
\(522\) | −5.76519 | + | 4.83757i | −0.0110444 | + | 0.00926737i | ||||
\(523\) | −252.020 | − | 300.346i | −0.481874 | − | 0.574275i | 0.469257 | − | 0.883061i | \(-0.344522\pi\) |
−0.951131 | + | 0.308786i | \(0.900077\pi\) | |||||||
\(524\) | 368.156 | − | 637.665i | 0.702588 | − | 1.21692i | ||||
\(525\) | −79.1880 | + | 45.7192i | −0.150834 | + | 0.0870842i | ||||
\(526\) | 28.9753 | − | 79.6091i | 0.0550862 | − | 0.151348i | ||||
\(527\) | −259.255 | − | 45.7136i | −0.491944 | − | 0.0867430i | ||||
\(528\) | −399.372 | + | 70.4200i | −0.756386 | + | 0.133371i | ||||
\(529\) | −222.862 | + | 81.1151i | −0.421289 | + | 0.153337i | ||||
\(530\) | 5.96573 | + | 5.00584i | 0.0112561 | + | 0.00944499i | ||||
\(531\) | − | 207.975i | − | 0.391666i | ||||||
\(532\) | 97.8180 | − | 124.867i | 0.183868 | − | 0.234712i | ||||
\(533\) | 174.790 | 0.327936 | ||||||||
\(534\) | −53.6774 | + | 63.9702i | −0.100519 | + | 0.119794i | ||||
\(535\) | −47.0456 | − | 129.257i | −0.0879356 | − | 0.241601i | ||||
\(536\) | −40.3786 | − | 228.998i | −0.0753332 | − | 0.427236i | ||||
\(537\) | −70.1582 | + | 397.887i | −0.130648 | + | 0.740944i | ||||
\(538\) | 2.17974 | + | 0.793361i | 0.00405156 | + | 0.00147465i | ||||
\(539\) | −358.733 | − | 621.344i | −0.665553 | − | 1.15277i | ||||
\(540\) | −12.5500 | − | 7.24577i | −0.0232408 | − | 0.0134181i | ||||
\(541\) | −247.043 | + | 207.293i | −0.456641 | + | 0.383167i | −0.841893 | − | 0.539644i | \(-0.818559\pi\) |
0.385252 | + | 0.922811i | \(0.374114\pi\) | |||||||
\(542\) | 17.1506 | + | 20.4393i | 0.0316432 | + | 0.0377109i | ||||
\(543\) | −20.9538 | + | 36.2930i | −0.0385889 | + | 0.0668380i | ||||
\(544\) | 155.516 | − | 89.7872i | 0.285875 | − | 0.165050i | ||||
\(545\) | 43.1632 | − | 118.590i | 0.0791985 | − | 0.217596i | ||||
\(546\) | 7.65572 | + | 1.34991i | 0.0140215 | + | 0.00247236i | ||||
\(547\) | −548.727 | + | 96.7553i | −1.00316 | + | 0.176884i | −0.651016 | − | 0.759064i | \(-0.725657\pi\) |
−0.352140 | + | 0.935947i | \(0.614546\pi\) | |||||||
\(548\) | 203.289 | − | 73.9912i | 0.370966 | − | 0.135020i | ||||
\(549\) | −48.4607 | − | 40.6633i | −0.0882708 | − | 0.0740680i | ||||
\(550\) | − | 142.045i | − | 0.258264i | ||||||
\(551\) | −104.616 | − | 81.9539i | −0.189865 | − | 0.148737i | ||||
\(552\) | 135.350 | 0.245199 | ||||||||
\(553\) | −200.651 | + | 239.126i | −0.362841 | + | 0.432417i | ||||
\(554\) | 35.1428 | + | 96.5541i | 0.0634347 | + | 0.174285i | ||||
\(555\) | 5.52054 | + | 31.3086i | 0.00994692 | + | 0.0564118i | ||||
\(556\) | 21.0180 | − | 119.199i | 0.0378022 | − | 0.214387i | ||||
\(557\) | 437.543 | + | 159.253i | 0.785535 | + | 0.285911i | 0.703479 | − | 0.710716i | \(-0.251629\pi\) |
0.0820564 | + | 0.996628i | \(0.473851\pi\) | |||||||
\(558\) | 13.0004 | + | 22.5174i | 0.0232983 | + | 0.0403538i | ||||
\(559\) | −23.3858 | − | 13.5018i | −0.0418351 | − | 0.0241535i | ||||
\(560\) | −17.2233 | + | 14.4520i | −0.0307559 | + | 0.0258072i | ||||
\(561\) | −196.215 | − | 233.840i | −0.349760 | − | 0.416828i | ||||
\(562\) | 9.77957 | − | 16.9387i | 0.0174014 | − | 0.0301401i | ||||
\(563\) | −46.2305 | + | 26.6912i | −0.0821145 | + | 0.0474088i | −0.540495 | − | 0.841347i | \(-0.681763\pi\) |
0.458381 | + | 0.888756i | \(0.348430\pi\) | |||||||
\(564\) | 124.237 | − | 341.339i | 0.220279 | − | 0.605211i | ||||
\(565\) | −33.0048 | − | 5.81964i | −0.0584156 | − | 0.0103002i | ||||
\(566\) | 152.344 | − | 26.8624i | 0.269159 | − | 0.0474601i | ||||
\(567\) | 18.2375 | − | 6.63792i | 0.0321650 | − | 0.0117071i | ||||
\(568\) | −199.205 | − | 167.153i | −0.350714 | − | 0.294284i | ||||
\(569\) | − | 59.3161i | − | 0.104246i | −0.998641 | − | 0.0521231i | \(-0.983401\pi\) | ||
0.998641 | − | 0.0521231i | \(-0.0165988\pi\) | |||||||
\(570\) | −2.63806 | + | 8.08335i | −0.00462817 | + | 0.0141813i | ||||
\(571\) | 146.299 | 0.256216 | 0.128108 | − | 0.991760i | \(-0.459110\pi\) | ||||
0.128108 | + | 0.991760i | \(0.459110\pi\) | |||||||
\(572\) | 233.610 | − | 278.406i | 0.408409 | − | 0.486723i | ||||
\(573\) | 154.962 | + | 425.753i | 0.270439 | + | 0.743025i | ||||
\(574\) | 4.04539 | + | 22.9426i | 0.00704772 | + | 0.0399696i | ||||
\(575\) | 117.669 | − | 667.333i | 0.204641 | − | 1.16058i | ||||
\(576\) | 146.534 | + | 53.3341i | 0.254400 | + | 0.0925939i | ||||
\(577\) | −110.001 | − | 190.528i | −0.190643 | − | 0.330204i | 0.754820 | − | 0.655932i | \(-0.227724\pi\) |
−0.945464 | + | 0.325728i | \(0.894391\pi\) | |||||||
\(578\) | −52.9023 | − | 30.5432i | −0.0915265 | − | 0.0528428i | ||||
\(579\) | 146.186 | − | 122.665i | 0.252481 | − | 0.211856i | ||||
\(580\) | 12.5387 | + | 14.9430i | 0.0216184 | + | 0.0257639i | ||||
\(581\) | 141.610 | − | 245.276i | 0.243735 | − | 0.422162i | ||||
\(582\) | −54.9285 | + | 31.7130i | −0.0943789 | + | 0.0544897i | ||||
\(583\) | −166.770 | + | 458.196i | −0.286054 | + | 0.785928i | ||||
\(584\) | 90.1992 | + | 15.9045i | 0.154451 | + | 0.0272338i | ||||
\(585\) | 12.3507 | − | 2.17776i | 0.0211123 | − | 0.00372267i | ||||
\(586\) | 101.172 | − | 36.8237i | 0.172649 | − | 0.0628391i | ||||
\(587\) | −247.550 | − | 207.719i | −0.421720 | − | 0.353865i | 0.407097 | − | 0.913385i | \(-0.366541\pi\) |
−0.828817 | + | 0.559520i | \(0.810986\pi\) | |||||||
\(588\) | 297.383i | 0.505753i | ||||||||
\(589\) | −341.598 | + | 306.773i | −0.579962 | + | 0.520837i | ||||
\(590\) | 17.9120 | 0.0303593 | ||||||||
\(591\) | −254.598 | + | 303.418i | −0.430792 | + | 0.513398i | ||||
\(592\) | −126.121 | − | 346.516i | −0.213043 | − | 0.585331i | ||||
\(593\) | −43.4379 | − | 246.349i | −0.0732511 | − | 0.415428i | −0.999279 | − | 0.0379721i | \(-0.987910\pi\) |
0.926028 | − | 0.377456i | \(-0.123201\pi\) | |||||||
\(594\) | −5.23538 | + | 29.6913i | −0.00881378 | + | 0.0499854i | ||||
\(595\) | −15.9033 | − | 5.78832i | −0.0267282 | − | 0.00972828i | ||||
\(596\) | 154.489 | + | 267.582i | 0.259209 | + | 0.448964i | ||||
\(597\) | −161.110 | − | 93.0168i | −0.269866 | − | 0.155807i | ||||
\(598\) | −44.1318 | + | 37.0309i | −0.0737989 | + | 0.0619246i | ||||
\(599\) | −31.4042 | − | 37.4261i | −0.0524277 | − | 0.0624809i | 0.739193 | − | 0.673493i | \(-0.235207\pi\) |
−0.791621 | + | 0.611012i | \(0.790763\pi\) | |||||||
\(600\) | −59.8544 | + | 103.671i | −0.0997574 | + | 0.172785i | ||||
\(601\) | 602.407 | − | 347.800i | 1.00234 | − | 0.578702i | 0.0934010 | − | 0.995629i | \(-0.470226\pi\) |
0.908940 | + | 0.416927i | \(0.136893\pi\) | |||||||
\(602\) | 1.23097 | − | 3.38207i | 0.00204480 | − | 0.00561805i | ||||
\(603\) | 243.342 | + | 42.9078i | 0.403553 | + | 0.0711573i | ||||
\(604\) | −485.084 | + | 85.5334i | −0.803119 | + | 0.141612i | ||||
\(605\) | −95.2533 | + | 34.6694i | −0.157444 | + | 0.0573048i | ||||
\(606\) | 75.8064 | + | 63.6092i | 0.125093 | + | 0.104966i | ||||
\(607\) | 879.295i | 1.44859i | 0.689490 | + | 0.724296i | \(0.257835\pi\) | ||||
−0.689490 | + | 0.724296i | \(0.742165\pi\) | |||||||
\(608\) | 43.9902 | − | 310.082i | 0.0723523 | − | 0.510004i | ||||
\(609\) | −26.1247 | −0.0428977 | ||||||||
\(610\) | 3.50216 | − | 4.17372i | 0.00574125 | − | 0.00684216i | ||||
\(611\) | 107.517 | + | 295.401i | 0.175969 | + | 0.483472i | ||||
\(612\) | 21.9710 | + | 124.604i | 0.0359003 | + | 0.203601i | ||||
\(613\) | −150.872 | + | 855.639i | −0.246121 | + | 1.39582i | 0.571754 | + | 0.820425i | \(0.306263\pi\) |
−0.817875 | + | 0.575396i | \(0.804848\pi\) | |||||||
\(614\) | 83.9682 | + | 30.5619i | 0.136756 | + | 0.0497751i | ||||
\(615\) | 18.7917 | + | 32.5481i | 0.0305556 | + | 0.0529238i | ||||
\(616\) | 85.2933 | + | 49.2441i | 0.138463 | + | 0.0799417i | ||||
\(617\) | −195.079 | + | 163.691i | −0.316174 | + | 0.265301i | −0.787038 | − | 0.616904i | \(-0.788387\pi\) |
0.470864 | + | 0.882206i | \(0.343942\pi\) | |||||||
\(618\) | −36.4066 | − | 43.3877i | −0.0589104 | − | 0.0702066i | ||||
\(619\) | 46.8629 | − | 81.1690i | 0.0757075 | − | 0.131129i | −0.825686 | − | 0.564130i | \(-0.809212\pi\) |
0.901394 | + | 0.433000i | \(0.142545\pi\) | |||||||
\(620\) | 58.3638 | − | 33.6964i | 0.0941352 | − | 0.0543490i | ||||
\(621\) | −49.1920 | + | 135.154i | −0.0792142 | + | 0.217639i | ||||
\(622\) | 150.639 | + | 26.5617i | 0.242185 | + | 0.0427038i | ||||
\(623\) | −285.474 | + | 50.3368i | −0.458225 | + | 0.0807975i | ||||
\(624\) | −136.695 | + | 49.7528i | −0.219062 | + | 0.0797321i | ||||
\(625\) | 449.168 | + | 376.897i | 0.718669 | + | 0.603035i | ||||
\(626\) | 111.463i | 0.178056i | ||||||||
\(627\) | −532.083 | + | 17.8885i | −0.848617 | + | 0.0285304i | ||||
\(628\) | 840.180 | 1.33787 | ||||||||
\(629\) | 178.420 | − | 212.633i | 0.283657 | − | 0.338049i | ||||
\(630\) | 0.571697 | + | 1.57072i | 0.000907455 | + | 0.00249321i | ||||
\(631\) | −166.094 | − | 941.968i | −0.263224 | − | 1.49282i | −0.774045 | − | 0.633131i | \(-0.781770\pi\) |
0.510821 | − | 0.859687i | \(-0.329342\pi\) | |||||||
\(632\) | −70.9646 | + | 402.460i | −0.112286 | + | 0.636804i | ||||
\(633\) | 394.861 | + | 143.718i | 0.623793 | + | 0.227042i | ||||
\(634\) | −46.7113 | − | 80.9063i | −0.0736771 | − | 0.127612i | ||||
\(635\) | 49.1390 | + | 28.3704i | 0.0773842 | + | 0.0446778i | ||||
\(636\) | 154.822 | − | 129.911i | 0.243431 | − | 0.204263i | ||||
\(637\) | −165.428 | − | 197.149i | −0.259698 | − | 0.309497i | ||||
\(638\) | 20.2917 | − | 35.1463i | 0.0318052 | − | 0.0550882i | ||||
\(639\) | 239.311 | − | 138.167i | 0.374509 | − | 0.216223i | ||||
\(640\) | −20.8389 | + | 57.2543i | −0.0325607 | + | 0.0894598i | ||||
\(641\) | 348.445 | + | 61.4403i | 0.543596 | + | 0.0958506i | 0.438702 | − | 0.898633i | \(-0.355438\pi\) |
0.104894 | + | 0.994483i | \(0.466550\pi\) | |||||||
\(642\) | 116.814 | − | 20.5975i | 0.181954 | − | 0.0320834i | ||||
\(643\) | 404.113 | − | 147.085i | 0.628481 | − | 0.228748i | −0.00808897 | − | 0.999967i | \(-0.502575\pi\) |
0.636570 | + | 0.771219i | \(0.280353\pi\) | |||||||
\(644\) | 177.018 | + | 148.536i | 0.274872 | + | 0.230645i | ||||
\(645\) | − | 5.80633i | − | 0.00900206i | ||||||
\(646\) | 68.8696 | − | 27.7211i | 0.106609 | − | 0.0429119i | ||||
\(647\) | 222.670 | 0.344158 | 0.172079 | − | 0.985083i | \(-0.444952\pi\) | ||||
0.172079 | + | 0.985083i | \(0.444952\pi\) | |||||||
\(648\) | 16.3322 | − | 19.4640i | 0.0252041 | − | 0.0300371i | ||||
\(649\) | 383.576 | + | 1053.87i | 0.591026 | + | 1.62383i | ||||
\(650\) | −8.84782 | − | 50.1785i | −0.0136120 | − | 0.0771976i | ||||
\(651\) | −15.6729 | + | 88.8855i | −0.0240751 | + | 0.136537i | ||||
\(652\) | 748.968 | + | 272.602i | 1.14872 | + | 0.418101i | ||||
\(653\) | −427.246 | − | 740.012i | −0.654282 | − | 1.13325i | −0.982073 | − | 0.188500i | \(-0.939637\pi\) |
0.327791 | − | 0.944750i | \(-0.393696\pi\) | |||||||
\(654\) | 94.2476 | + | 54.4139i | 0.144110 | + | 0.0832017i | ||||
\(655\) | −104.959 | + | 88.0713i | −0.160243 | + | 0.134460i | ||||
\(656\) | −280.213 | − | 333.945i | −0.427155 | − | 0.509063i | ||||
\(657\) | −48.6639 | + | 84.2883i | −0.0740698 | + | 0.128293i | ||||
\(658\) | −36.2853 | + | 20.9493i | −0.0551448 | + | 0.0318379i | ||||
\(659\) | −294.193 | + | 808.287i | −0.446423 | + | 1.22654i | 0.488775 | + | 0.872410i | \(0.337444\pi\) |
−0.935198 | + | 0.354126i | \(0.884778\pi\) | |||||||
\(660\) | 76.9582 | + | 13.5698i | 0.116603 | + | 0.0205603i | ||||
\(661\) | 231.798 | − | 40.8722i | 0.350677 | − | 0.0618339i | 0.00446497 | − | 0.999990i | \(-0.498579\pi\) |
0.346212 | + | 0.938156i | \(0.387468\pi\) | |||||||
\(662\) | 71.6577 | − | 26.0813i | 0.108244 | − | 0.0393977i | ||||
\(663\) | −83.8801 | − | 70.3838i | −0.126516 | − | 0.106160i | ||||
\(664\) | − | 370.785i | − | 0.558411i | ||||||
\(665\) | −25.0515 | + | 15.6087i | −0.0376714 | + | 0.0234717i | ||||
\(666\) | −27.4151 | −0.0411638 | ||||||||
\(667\) | 124.446 | − | 148.309i | 0.186576 | − | 0.222352i | ||||
\(668\) | 100.310 | + | 275.598i | 0.150164 | + | 0.412572i | ||||
\(669\) | 7.14350 | + | 40.5128i | 0.0106779 | + | 0.0605572i | ||||
\(670\) | −3.69547 | + | 20.9581i | −0.00551563 | + | 0.0312807i | ||||
\(671\) | 320.561 | + | 116.675i | 0.477736 | + | 0.173882i | ||||
\(672\) | −30.7836 | − | 53.3187i | −0.0458089 | − | 0.0793433i | ||||
\(673\) | −536.830 | − | 309.939i | −0.797667 | − | 0.460533i | 0.0449876 | − | 0.998988i | \(-0.485675\pi\) |
−0.842655 | + | 0.538454i | \(0.819008\pi\) | |||||||
\(674\) | −32.0789 | + | 26.9174i | −0.0475949 | + | 0.0399368i | ||||
\(675\) | −81.7672 | − | 97.4464i | −0.121137 | − | 0.144365i | ||||
\(676\) | −261.947 | + | 453.706i | −0.387496 | + | 0.671162i | ||||
\(677\) | 1105.42 | − | 638.215i | 1.63282 | − | 0.942710i | 0.649605 | − | 0.760272i | \(-0.274934\pi\) |
0.983217 | − | 0.182439i | \(-0.0583991\pi\) | |||||||
\(678\) | 9.88451 | − | 27.1575i | 0.0145789 | − | 0.0400553i | ||||
\(679\) | −216.825 | − | 38.2322i | −0.319331 | − | 0.0563066i | ||||
\(680\) | −21.8198 | + | 3.84742i | −0.0320879 | + | 0.00565796i | ||||
\(681\) | 565.368 | − | 205.777i | 0.830203 | − | 0.302169i | ||||
\(682\) | −107.407 | − | 90.1248i | −0.157488 | − | 0.132148i | ||||
\(683\) | 1204.04i | 1.76287i | 0.472306 | + | 0.881435i | \(0.343422\pi\) | ||||
−0.472306 | + | 0.881435i | \(0.656578\pi\) | |||||||
\(684\) | 194.703 | + | 103.850i | 0.284654 | + | 0.151828i | ||||
\(685\) | −40.2563 | −0.0587683 | ||||||||
\(686\) | 46.4093 | − | 55.3084i | 0.0676520 | − | 0.0806245i | ||||
\(687\) | −123.803 | − | 340.146i | −0.180208 | − | 0.495118i | ||||
\(688\) | 11.6949 | + | 66.3252i | 0.0169984 | + | 0.0964029i | ||||
\(689\) | −30.3721 | + | 172.249i | −0.0440815 | + | 0.249999i | ||||
\(690\) | −11.6402 | − | 4.23670i | −0.0168699 | − | 0.00614015i | ||||
\(691\) | −357.919 | − | 619.934i | −0.517973 | − | 0.897155i | −0.999782 | − | 0.0208790i | \(-0.993354\pi\) |
0.481809 | − | 0.876276i | \(-0.339980\pi\) | |||||||
\(692\) | −1125.29 | − | 649.689i | −1.62615 | − | 0.938856i | ||||
\(693\) | −80.1722 | + | 67.2724i | −0.115689 | + | 0.0970742i | ||||
\(694\) | −81.0958 | − | 96.6463i | −0.116853 | − | 0.139260i | ||||
\(695\) | −11.2615 | + | 19.5055i | −0.0162036 | + | 0.0280655i | ||||
\(696\) | −29.6196 | + | 17.1009i | −0.0425569 | + | 0.0245703i | ||||
\(697\) | 112.231 | − | 308.352i | 0.161020 | − | 0.442399i | ||||
\(698\) | −75.2349 | − | 13.2659i | −0.107786 | − | 0.0190057i | ||||
\(699\) | −180.007 | + | 31.7400i | −0.257520 | + | 0.0454077i | ||||
\(700\) | −192.051 | + | 69.9010i | −0.274359 | + | 0.0998585i | ||||
\(701\) | 821.411 | + | 689.246i | 1.17177 | + | 0.983232i | 0.999998 | − | 0.00190414i | \(-0.000606107\pi\) |
0.171773 | + | 0.985137i | \(0.445051\pi\) | |||||||
\(702\) | 10.8148i | 0.0154057i | ||||||||
\(703\) | −100.035 | − | 473.652i | −0.142297 | − | 0.673759i | ||||
\(704\) | −840.896 | −1.19446 | ||||||||
\(705\) | −43.4483 | + | 51.7797i | −0.0616288 | + | 0.0734464i | ||||
\(706\) | 80.7931 | + | 221.977i | 0.114438 | + | 0.314415i | ||||
\(707\) | 59.6505 | + | 338.295i | 0.0843712 | + | 0.478493i | ||||
\(708\) | 80.7205 | − | 457.788i | 0.114012 | − | 0.646594i | ||||
\(709\) | 266.659 | + | 97.0560i | 0.376106 | + | 0.136891i | 0.523154 | − | 0.852238i | \(-0.324755\pi\) |
−0.147048 | + | 0.989129i | \(0.546977\pi\) | |||||||
\(710\) | 11.8997 | + | 20.6109i | 0.0167601 | + | 0.0290294i | ||||
\(711\) | −376.086 | − | 217.133i | −0.528954 | − | 0.305392i | ||||
\(712\) | −290.715 | + | 243.939i | −0.408307 | + | 0.342611i | ||||
\(713\) | −429.941 | − | 512.384i | −0.603003 | − | 0.718631i | ||||
\(714\) | 7.29708 | − | 12.6389i | 0.0102200 | − | 0.0177016i | ||||
\(715\) | −58.5679 | + | 33.8142i | −0.0819132 | + | 0.0472926i | ||||
\(716\) | −308.861 | + | 848.589i | −0.431370 | + | 1.18518i | ||||
\(717\) | −698.491 | − | 123.163i | −0.974186 | − | 0.171775i | ||||
\(718\) | −152.177 | + | 26.8330i | −0.211946 | + | 0.0373718i | ||||
\(719\) | −40.1075 | + | 14.5979i | −0.0557823 | + | 0.0203031i | −0.369761 | − | 0.929127i | \(-0.620560\pi\) |
0.313978 | + | 0.949430i | \(0.398338\pi\) | |||||||
\(720\) | −23.9607 | − | 20.1054i | −0.0332787 | − | 0.0279242i | ||||
\(721\) | − | 196.609i | − | 0.272690i | ||||||
\(722\) | 36.0121 | − | 124.368i | 0.0498782 | − | 0.172255i | ||||
\(723\) | 137.291 | 0.189891 | ||||||||
\(724\) | −60.2092 | + | 71.7546i | −0.0831619 | + | 0.0991085i | ||||
\(725\) | 58.5644 | + | 160.904i | 0.0807785 | + | 0.221937i | ||||
\(726\) | −15.1790 | − | 86.0842i | −0.0209077 | − | 0.118573i | ||||
\(727\) | −39.0007 | + | 221.184i | −0.0536461 | + | 0.304242i | −0.999811 | − | 0.0194430i | \(-0.993811\pi\) |
0.946165 | + | 0.323685i | \(0.104922\pi\) | |||||||
\(728\) | 33.1978 | + | 12.0830i | 0.0456014 | + | 0.0165976i | ||||
\(729\) | 13.5000 | + | 23.3827i | 0.0185185 | + | 0.0320750i | ||||
\(730\) | −7.25940 | − | 4.19121i | −0.00994438 | − | 0.00574139i | ||||
\(731\) | −38.8347 | + | 32.5862i | −0.0531255 | + | 0.0445776i | ||||
\(732\) | −90.8879 | − | 108.316i | −0.124164 | − | 0.147973i | ||||
\(733\) | 551.387 | − | 955.030i | 0.752233 | − | 1.30291i | −0.194505 | − | 0.980901i | \(-0.562310\pi\) |
0.946738 | − | 0.322004i | \(-0.104357\pi\) | |||||||
\(734\) | −181.220 | + | 104.627i | −0.246894 | + | 0.142544i | ||||
\(735\) | 18.9266 | − | 52.0004i | 0.0257505 | − | 0.0707488i | ||||
\(736\) | 449.327 | + | 79.2285i | 0.610499 | + | 0.107647i | ||||
\(737\) | −1312.22 | + | 231.380i | −1.78049 | + | 0.313948i | ||||
\(738\) | −30.4551 | + | 11.0847i | −0.0412670 | + | 0.0150200i | ||||
\(739\) | −882.546 | − | 740.544i | −1.19424 | − | 1.00209i | −0.999776 | − | 0.0211803i | \(-0.993258\pi\) |
−0.194468 | − | 0.980909i | \(-0.562298\pi\) | |||||||
\(740\) | 71.0583i | 0.0960247i | ||||||||
\(741\) | −186.848 | + | 39.4621i | −0.252156 | + | 0.0532552i | ||||
\(742\) | −23.3120 | −0.0314178 | ||||||||
\(743\) | −84.7199 | + | 100.965i | −0.114024 | + | 0.135889i | −0.820037 | − | 0.572310i | \(-0.806047\pi\) |
0.706013 | + | 0.708199i | \(0.250492\pi\) | |||||||
\(744\) | 40.4137 | + | 111.036i | 0.0543195 | + | 0.149242i | ||||
\(745\) | −9.98394 | − | 56.6217i | −0.0134013 | − | 0.0760023i | ||||
\(746\) | 0.310835 | − | 1.76284i | 0.000416669 | − | 0.00236305i | ||||
\(747\) | 370.249 | + | 134.760i | 0.495648 | + | 0.180401i | ||||
\(748\) | −341.145 | − | 590.880i | −0.456076 | − | 0.789946i | ||||
\(749\) | 356.588 | + | 205.876i | 0.476086 | + | 0.274868i | ||||
\(750\) | 16.9632 | − | 14.2338i | 0.0226176 | − | 0.0189784i | ||||
\(751\) | −718.599 | − | 856.393i | −0.956857 | − | 1.14034i | −0.990026 | − | 0.140888i | \(-0.955004\pi\) |
0.0331690 | − | 0.999450i | \(-0.489440\pi\) | |||||||
\(752\) | 392.014 | − | 678.988i | 0.521295 | − | 0.902909i | ||||
\(753\) | 308.065 | − | 177.861i | 0.409117 | − | 0.236204i | ||||
\(754\) | 4.97898 | − | 13.6796i | 0.00660342 | − | 0.0181427i | ||||
\(755\) | 90.2656 | + | 15.9163i | 0.119557 | + | 0.0210811i | ||||
\(756\) | 42.7204 | − | 7.53276i | 0.0565084 | − | 0.00996396i | ||||
\(757\) | 867.893 | − | 315.887i | 1.14649 | − | 0.417288i | 0.302237 | − | 0.953233i | \(-0.402267\pi\) |
0.844253 | + | 0.535944i | \(0.180044\pi\) | |||||||
\(758\) | −135.239 | − | 113.479i | −0.178416 | − | 0.149709i | ||||
\(759\) | − | 775.590i | − | 1.02186i | ||||||
\(760\) | −18.1856 | + | 34.0951i | −0.0239284 | + | 0.0448620i | ||||
\(761\) | 309.332 | 0.406481 | 0.203240 | − | 0.979129i | \(-0.434853\pi\) | ||||
0.203240 | + | 0.979129i | \(0.434853\pi\) | |||||||
\(762\) | −31.4515 | + | 37.4824i | −0.0412749 | + | 0.0491895i | ||||
\(763\) | 129.206 | + | 354.991i | 0.169340 | + | 0.465257i | ||||
\(764\) | 175.851 | + | 997.302i | 0.230172 | + | 1.30537i | ||||
\(765\) | 4.08841 | − | 23.1865i | 0.00534433 | − | 0.0303092i | ||||
\(766\) | −87.9538 | − | 32.0126i | −0.114822 | − | 0.0417919i | ||||
\(767\) | 201.145 | + | 348.393i | 0.262249 | + | 0.454229i | ||||
\(768\) | 266.375 | + | 153.792i | 0.346842 | + | 0.200250i | ||||
\(769\) | 311.853 | − | 261.676i | 0.405531 | − | 0.340281i | −0.417096 | − | 0.908862i | \(-0.636952\pi\) |
0.822627 | + | 0.568582i | \(0.192508\pi\) | |||||||
\(770\) | −5.79389 | − | 6.90489i | −0.00752454 | − | 0.00896740i | ||||
\(771\) | 263.553 | − | 456.487i | 0.341833 | − | 0.592072i | ||||
\(772\) | 369.391 | − | 213.268i | 0.478486 | − | 0.276254i | ||||
\(773\) | 395.094 | − | 1085.51i | 0.511118 | − | 1.40429i | −0.368955 | − | 0.929447i | \(-0.620284\pi\) |
0.880073 | − | 0.474839i | \(-0.157494\pi\) | |||||||
\(774\) | 4.93095 | + | 0.869460i | 0.00637074 | + | 0.00112333i | ||||
\(775\) | 582.588 | − | 102.726i | 0.751727 | − | 0.132550i | ||||
\(776\) | −270.858 | + | 98.5844i | −0.349044 | + | 0.127042i | ||||
\(777\) | −72.9012 | − | 61.1714i | −0.0938240 | − | 0.0787277i | ||||
\(778\) | − | 3.99839i | − | 0.00513931i | ||||||
\(779\) | −302.639 | − | 485.727i | −0.388497 | − | 0.623527i | ||||
\(780\) | 28.0313 | 0.0359376 | ||||||||
\(781\) | −957.832 | + | 1141.50i | −1.22642 | + | 1.46159i | ||||
\(782\) | 36.9907 | + | 101.631i | 0.0473027 | + | 0.129963i | ||||
\(783\) | −6.31109 | − | 35.7920i | −0.00806014 | − | 0.0457114i | ||||
\(784\) | −111.459 | + | 632.117i | −0.142168 | + | 0.806272i | ||||
\(785\) | −146.914 | − | 53.4723i | −0.187152 | − | 0.0681176i | ||||
\(786\) | −59.0765 | − | 102.324i | −0.0751610 | − | 0.130183i | ||||
\(787\) | −146.094 | − | 84.3474i | −0.185634 | − | 0.107176i | 0.404303 | − | 0.914625i | \(-0.367514\pi\) |
−0.589937 | + | 0.807449i | \(0.700847\pi\) | |||||||
\(788\) | −678.180 | + | 569.061i | −0.860635 | + | 0.722158i | ||||
\(789\) | 262.978 | + | 313.405i | 0.333305 | + | 0.397217i | ||||
\(790\) | 18.7008 | − | 32.3907i | 0.0236719 | − | 0.0410009i | ||||
\(791\) | 86.8812 | − | 50.1609i | 0.109837 | − | 0.0634145i | ||||
\(792\) | −46.8618 | + | 128.752i | −0.0591690 | + | 0.162565i | ||||
\(793\) | 120.508 | + | 21.2488i | 0.151965 | + | 0.0267955i | ||||
\(794\) | 49.3038 | − | 8.69360i | 0.0620955 | − | 0.0109491i | ||||
\(795\) | −35.3403 | + | 12.8628i | −0.0444532 | + | 0.0161796i | ||||
\(796\) | −318.529 | − | 267.277i | −0.400162 | − | 0.335775i | ||||
\(797\) | 810.090i | 1.01642i | 0.861232 | + | 0.508212i | \(0.169693\pi\) | ||||
−0.861232 | + | 0.508212i | \(0.830307\pi\) | |||||||
\(798\) | −9.50417 | − | 23.6119i | −0.0119100 | − | 0.0295889i | ||||
\(799\) | 590.161 | 0.738624 | ||||||||
\(800\) | −259.387 | + | 309.125i | −0.324233 | + | 0.386406i | ||||
\(801\) | −137.927 | − | 378.952i | −0.172194 | − | 0.473099i | ||||
\(802\) | 13.9922 | + | 79.3536i | 0.0174466 | + | 0.0989446i | ||||
\(803\) | 91.1372 | − | 516.865i | 0.113496 | − | 0.643667i | ||||
\(804\) | 518.986 | + | 188.895i | 0.645505 | + | 0.234944i | ||||
\(805\) | −21.5000 | − | 37.2390i | −0.0267080 | − | 0.0462597i | ||||
\(806\) | −43.5559 | − | 25.1470i | −0.0540396 | − | 0.0311998i | ||||
\(807\) | −8.58119 | + | 7.20047i | −0.0106334 | + | 0.00892252i | ||||
\(808\) | 289.074 | + | 344.505i | 0.357765 | + | 0.426367i | ||||
\(809\) | 173.805 | − | 301.039i | 0.214839 | − | 0.372112i | −0.738384 | − | 0.674381i | \(-0.764411\pi\) |
0.953223 | + | 0.302268i | \(0.0977439\pi\) | |||||||
\(810\) | −2.01385 | + | 1.16270i | −0.00248624 | + | 0.00143543i | ||||
\(811\) | −294.056 | + | 807.912i | −0.362584 | + | 0.996192i | 0.615528 | + | 0.788115i | \(0.288943\pi\) |
−0.978112 | + | 0.208077i | \(0.933279\pi\) | |||||||
\(812\) | −57.5050 | − | 10.1397i | −0.0708190 | − | 0.0124873i | ||||
\(813\) | −126.893 | + | 22.3747i | −0.156080 | + | 0.0275212i | ||||
\(814\) | 138.920 | − | 50.5627i | 0.170663 | − | 0.0621163i | ||||
\(815\) | −113.615 | − | 95.3344i | −0.139405 | − | 0.116975i | ||||
\(816\) | 273.093i | 0.334672i | ||||||||
\(817\) | 2.97082 | + | 88.3650i | 0.00363625 | + | 0.108158i | ||||
\(818\) | 38.3836 | 0.0469237 | ||||||||
\(819\) | −24.1311 | + | 28.7583i | −0.0294641 | + | 0.0351139i | ||||
\(820\) | 28.7310 | + | 78.9377i | 0.0350378 | + | 0.0962655i | ||||
\(821\) | −41.6522 | − | 236.221i | −0.0507335 | − | 0.287724i | 0.948877 | − | 0.315647i | \(-0.102222\pi\) |
−0.999610 | + | 0.0279234i | \(0.991111\pi\) | |||||||
\(822\) | 6.02812 | − | 34.1871i | 0.00733348 | − | 0.0415902i | ||||
\(823\) | 585.367 | + | 213.056i | 0.711260 | + | 0.258877i | 0.672211 | − | 0.740360i | \(-0.265345\pi\) |
0.0390492 | + | 0.999237i | \(0.487567\pi\) | |||||||
\(824\) | −128.698 | − | 222.912i | −0.156187 | − | 0.270524i | ||||
\(825\) | 594.061 | + | 342.982i | 0.720074 | + | 0.415735i | ||||
\(826\) | −41.0740 | + | 34.4652i | −0.0497264 | + | 0.0417254i | ||||
\(827\) | 908.728 | + | 1082.98i | 1.09882 | + | 1.30953i | 0.947041 | + | 0.321114i | \(0.104057\pi\) |
0.151784 | + | 0.988414i | \(0.451498\pi\) | |||||||
\(828\) | −160.737 | + | 278.405i | −0.194127 | + | 0.336238i | ||||
\(829\) | −332.826 | + | 192.157i | −0.401479 | + | 0.231794i | −0.687122 | − | 0.726542i | \(-0.741126\pi\) |
0.285643 | + | 0.958336i | \(0.407793\pi\) | |||||||
\(830\) | −11.6063 | + | 31.8880i | −0.0139835 | + | 0.0384193i | ||||
\(831\) | −488.665 | − | 86.1648i | −0.588044 | − | 0.103688i | ||||
\(832\) | −297.053 | + | 52.3784i | −0.357035 | + | 0.0629549i | ||||
\(833\) | −454.016 | + | 165.248i | −0.545037 | + | 0.198377i | ||||
\(834\) | −14.8785 | − | 12.4845i | −0.0178399 | − | 0.0149695i | ||||
\(835\) | − | 54.5752i | − | 0.0653595i | ||||||
\(836\) | −1178.15 | − | 167.140i | −1.40927 | − | 0.199928i | ||||
\(837\) | −125.563 | −0.150016 | ||||||||
\(838\) | −59.5316 | + | 70.9470i | −0.0710401 | + | 0.0846623i | ||||
\(839\) | 344.353 | + | 946.103i | 0.410433 | + | 1.12766i | 0.956961 | + | 0.290215i | \(0.0937269\pi\) |
−0.546528 | + | 0.837441i | \(0.684051\pi\) | |||||||
\(840\) | 1.31909 | + | 7.48091i | 0.00157034 | + | 0.00890585i | ||||
\(841\) | 137.543 | − | 780.044i | 0.163547 | − | 0.927520i | ||||
\(842\) | −228.214 | − | 83.0631i | −0.271038 | − | 0.0986498i | ||||
\(843\) | 47.2275 | + | 81.8003i | 0.0560231 | + | 0.0970348i | ||||
\(844\) | 813.377 | + | 469.604i | 0.963717 | + | 0.556402i | ||||
\(845\) | 74.6797 | − | 62.6637i | 0.0883783 | − | 0.0741582i | ||||
\(846\) | −37.4672 | − | 44.6516i | −0.0442874 | − | 0.0527797i | ||||
\(847\) | 151.717 | − | 262.781i | 0.179123 | − | 0.310249i | ||||
\(848\) | 377.781 | − | 218.112i | 0.445497 | − | 0.257208i | ||||
\(849\) | −255.506 | + | 701.996i | −0.300949 | + | 0.826851i | ||||
\(850\) | −94.2023 | − | 16.6104i | −0.110826 | − | 0.0195417i | ||||
\(851\) | 694.536 | − | 122.465i | 0.816141 | − | 0.143908i | ||||
\(852\) | 580.392 | − | 211.246i | 0.681212 | − | 0.247941i | ||||
\(853\) | 96.2947 | + | 80.8009i | 0.112889 | + | 0.0947255i | 0.697485 | − | 0.716599i | \(-0.254302\pi\) |
−0.584596 | + | 0.811325i | \(0.698747\pi\) | |||||||
\(854\) | 16.3094i | 0.0190977i | ||||||||
\(855\) | −27.4364 | − | 30.5509i | −0.0320893 | − | 0.0357321i | ||||
\(856\) | 539.056 | 0.629739 | ||||||||
\(857\) | −275.088 | + | 327.837i | −0.320990 | + | 0.382541i | −0.902276 | − | 0.431158i | \(-0.858105\pi\) |
0.581287 | + | 0.813699i | \(0.302550\pi\) | |||||||
\(858\) | −19.9461 | − | 54.8016i | −0.0232472 | − | 0.0638713i | ||||
\(859\) | 104.795 | + | 594.320i | 0.121996 | + | 0.691874i | 0.983047 | + | 0.183355i | \(0.0586958\pi\) |
−0.861051 | + | 0.508519i | \(0.830193\pi\) | |||||||
\(860\) | 2.25359 | − | 12.7807i | 0.00262045 | − | 0.0148613i | ||||
\(861\) | −105.718 | − | 38.4784i | −0.122786 | − | 0.0446903i | ||||
\(862\) | 65.3316 | + | 113.158i | 0.0757908 | + | 0.131273i | ||||
\(863\) | −739.985 | − | 427.231i | −0.857457 | − | 0.495053i | 0.00570294 | − | 0.999984i | \(-0.498185\pi\) |
−0.863160 | + | 0.504931i | \(0.831518\pi\) | |||||||
\(864\) | 65.6124 | − | 55.0554i | 0.0759403 | − | 0.0637215i | ||||
\(865\) | 155.420 | + | 185.223i | 0.179677 | + | 0.214130i | ||||
\(866\) | 139.521 | − | 241.658i | 0.161110 | − | 0.279051i | ||||
\(867\) | 255.475 | − | 147.499i | 0.294666 | − | 0.170125i | ||||
\(868\) | −68.9976 | + | 189.569i | −0.0794903 | + | 0.218398i | ||||
\(869\) | 2306.20 | + | 406.646i | 2.65386 | + | 0.467947i | ||||
\(870\) | 3.08261 | − | 0.543548i | 0.00354324 | − | 0.000624768i | ||||
\(871\) | −449.139 | + | 163.473i | −0.515660 | + | 0.187685i | ||||
\(872\) | 378.864 | + | 317.904i | 0.434477 | + | 0.364569i | ||||
\(873\) | − | 306.296i | − | 0.350855i | ||||||
\(874\) | 179.318 | + | 58.5216i | 0.205169 | + | 0.0669583i | ||||
\(875\) | 76.8680 | 0.0878491 | ||||||||
\(876\) | −139.832 | + | 166.645i | −0.159626 | + | 0.190235i | ||||
\(877\) | −302.917 | − | 832.258i | −0.345402 | − | 0.948983i | −0.983799 | − | 0.179276i | \(-0.942624\pi\) |
0.638397 | − | 0.769707i | \(-0.279598\pi\) | |||||||
\(878\) | −14.6838 | − | 83.2761i | −0.0167242 | − | 0.0948475i | ||||
\(879\) | −90.2861 | + | 512.038i | −0.102715 | + | 0.582523i | ||||
\(880\) | 158.497 | + | 57.6880i | 0.180110 | + | 0.0655546i | ||||
\(881\) | −493.434 | − | 854.654i | −0.560084 | − | 0.970095i | −0.997488 | − | 0.0708296i | \(-0.977435\pi\) |
0.437404 | − | 0.899265i | \(-0.355898\pi\) | |||||||
\(882\) | 41.3265 | + | 23.8599i | 0.0468555 | + | 0.0270520i | ||||
\(883\) | 8.35765 | − | 7.01291i | 0.00946507 | − | 0.00794213i | −0.638043 | − | 0.770001i | \(-0.720256\pi\) |
0.647508 | + | 0.762059i | \(0.275811\pi\) | |||||||
\(884\) | −157.317 | − | 187.483i | −0.177960 | − | 0.212085i | ||||
\(885\) | −43.2502 | + | 74.9116i | −0.0488703 | + | 0.0846459i | ||||
\(886\) | −32.6300 | + | 18.8389i | −0.0368284 | + | 0.0212629i | ||||
\(887\) | 445.343 | − | 1223.57i | 0.502077 | − | 1.37945i | −0.387165 | − | 0.922010i | \(-0.626546\pi\) |
0.889243 | − | 0.457436i | \(-0.151232\pi\) | |||||||
\(888\) | −122.696 | − | 21.6346i | −0.138171 | − | 0.0243633i | ||||
\(889\) | −167.269 | + | 29.4941i | −0.188155 | + | 0.0331767i | ||||
\(890\) | 32.6376 | − | 11.8791i | 0.0366714 | − | 0.0133473i | ||||
\(891\) | −111.534 | − | 93.5880i | −0.125178 | − | 0.105037i | ||||
\(892\) | 91.9483i | 0.103081i | ||||||||
\(893\) | 634.736 | − | 810.252i | 0.710790 | − | 0.907338i | ||||
\(894\) | 49.5804 | 0.0554590 | ||||||||
\(895\) | 108.015 | − | 128.727i | 0.120687 | − | 0.143829i | ||||
\(896\) | −62.3797 | − | 171.387i | −0.0696202 | − | 0.191280i | ||||
\(897\) | −48.3106 | − | 273.983i | −0.0538579 | − | 0.305444i | ||||
\(898\) | −27.0518 | + | 153.419i | −0.0301245 | + | 0.170845i | ||||
\(899\) | 158.825 | + | 57.8076i | 0.176669 | + | 0.0643021i | ||||
\(900\) | −142.162 | − | 246.232i | −0.157958 | − | 0.273592i | ||||
\(901\) | 284.368 | + | 164.180i | 0.315613 | + | 0.182219i | ||||
\(902\) | 133.880 | − | 112.339i | 0.148426 | − | 0.124544i | ||||
\(903\) | 11.1722 | + | 13.3145i | 0.0123723 | + | 0.0147447i | ||||
\(904\) | 65.6694 | − | 113.743i | 0.0726431 | − | 0.125822i | ||||
\(905\) | 15.0949 | − | 8.71506i | 0.0166795 | − | 0.00962990i | ||||
\(906\) | −27.0334 | + | 74.2736i | −0.0298382 | + | 0.0819797i | ||||
\(907\) | −989.790 | − | 174.527i | −1.09128 | − | 0.192422i | −0.401081 | − | 0.916043i | \(-0.631365\pi\) |
−0.690198 | + | 0.723621i | \(0.742477\pi\) | |||||||
\(908\) | 1324.34 | − | 233.517i | 1.45853 | − | 0.257177i | ||||
\(909\) | −449.069 | + | 163.448i | −0.494025 | + | 0.179810i | ||||
\(910\) | −2.47683 | − | 2.07831i | −0.00272180 | − | 0.00228386i | ||||
\(911\) | 1334.63i | 1.46502i | 0.680757 | + | 0.732510i | \(0.261651\pi\) | ||||
−0.680757 | + | 0.732510i | \(0.738349\pi\) | |||||||
\(912\) | 374.938 | + | 293.719i | 0.411117 | + | 0.322061i | ||||
\(913\) | −2124.70 | −2.32716 | ||||||||
\(914\) | −15.5416 | + | 18.5217i | −0.0170039 | + | 0.0202645i | ||||
\(915\) | 8.99902 | + | 24.7246i | 0.00983500 | + | 0.0270214i | ||||
\(916\) | −140.492 | − | 796.772i | −0.153376 | − | 0.869838i | ||||
\(917\) | 71.2208 | − | 403.913i | 0.0776671 | − | 0.440472i | ||||
\(918\) | 19.0787 | + | 6.94407i | 0.0207829 | + | 0.00756434i | ||||
\(919\) | −85.6355 | − | 148.325i | −0.0931833 | − | 0.161398i | 0.815666 | − | 0.578524i | \(-0.196371\pi\) |
−0.908849 | + | 0.417125i | \(0.863038\pi\) | |||||||
\(920\) | −48.7524 | − | 28.1472i | −0.0529918 | − | 0.0305948i | ||||
\(921\) | −330.566 | + | 277.378i | −0.358920 | + | 0.301170i | ||||
\(922\) | −30.0639 | − | 35.8288i | −0.0326073 | − | 0.0388599i | ||||
\(923\) | −267.259 | + | 462.905i | −0.289554 | + | 0.501523i | ||||
\(924\) | −202.583 | + | 116.961i | −0.219246 | + | 0.126582i | ||||
\(925\) | −213.336 | + | 586.135i | −0.230633 | + | 0.633660i | ||||
\(926\) | 324.417 | + | 57.2035i | 0.350343 | + | 0.0617749i | ||||
\(927\) | 269.364 | − | 47.4961i | 0.290576 | − | 0.0512363i | ||||
\(928\) | −108.340 | + | 39.4325i | −0.116746 | + | 0.0424919i | ||||
\(929\) | −343.323 | − | 288.082i | −0.369562 | − | 0.310099i | 0.439027 | − | 0.898474i | \(-0.355323\pi\) |
−0.808588 | + | 0.588375i | \(0.799768\pi\) | |||||||
\(930\) | − | 10.8142i | − | 0.0116282i | ||||||
\(931\) | −261.433 | + | 801.064i | −0.280809 | + | 0.860434i | ||||
\(932\) | −408.545 | −0.438353 | ||||||||
\(933\) | −474.819 | + | 565.868i | −0.508917 | + | 0.606503i | ||||
\(934\) | 1.23980 | + | 3.40632i | 0.00132741 | + | 0.00364702i | ||||
\(935\) | 22.0467 | + | 125.033i | 0.0235794 | + | 0.133725i | ||||
\(936\) | −8.53449 | + | 48.4015i | −0.00911804 | + | 0.0517110i | ||||
\(937\) | 997.793 | + | 363.167i | 1.06488 | + | 0.387585i | 0.814260 | − | 0.580500i | \(-0.197143\pi\) |
0.250621 | + | 0.968085i | \(0.419365\pi\) | |||||||
\(938\) | −31.8522 | − | 55.1696i | −0.0339576 | − | 0.0588162i | ||||
\(939\) | −466.163 | − | 269.139i | −0.496446 | − | 0.286623i | ||||
\(940\) | −115.734 | + | 97.1127i | −0.123122 | + | 0.103311i | ||||
\(941\) | −409.308 | − | 487.795i | −0.434972 | − | 0.518379i | 0.503378 | − | 0.864066i | \(-0.332090\pi\) |
−0.938350 | + | 0.345687i | \(0.887646\pi\) | |||||||
\(942\) | 67.4102 | − | 116.758i | 0.0715607 | − | 0.123947i | ||||
\(943\) | 722.035 | − | 416.867i | 0.765678 | − | 0.442065i | ||||
\(944\) | 343.159 | − | 942.822i | 0.363516 | − | 0.998753i | ||||
\(945\) | −7.94951 | − | 1.40171i | −0.00841218 | − | 0.00148329i | ||||
\(946\) | −26.5901 | + | 4.68855i | −0.0281079 | + | 0.00495619i | ||||
\(947\) | −1395.47 | + | 507.910i | −1.47357 | + | 0.536336i | −0.949068 | − | 0.315072i | \(-0.897971\pi\) |
−0.524504 | + | 0.851408i | \(0.675749\pi\) | |||||||
\(948\) | −743.556 | − | 623.918i | −0.784342 | − | 0.658141i | ||||
\(949\) | − | 188.263i | − | 0.198381i | ||||||
\(950\) | −124.122 | + | 111.469i | −0.130655 | + | 0.117335i | ||||
\(951\) | 451.156 | 0.474401 | ||||||||
\(952\) | 42.6320 | − | 50.8068i | 0.0447815 | − | 0.0533685i | ||||
\(953\) | −377.311 | − | 1036.65i | −0.395920 | − | 1.08778i | −0.964253 | − | 0.264982i | \(-0.914634\pi\) |
0.568334 | − | 0.822798i | \(-0.307588\pi\) | |||||||
\(954\) | −5.63161 | − | 31.9384i | −0.00590315 | − | 0.0334784i | ||||
\(955\) | 32.7228 | − | 185.580i | 0.0342647 | − | 0.194325i | ||||
\(956\) | −1489.70 | − | 542.206i | −1.55826 | − | 0.567161i | ||||
\(957\) | 97.9926 | + | 169.728i | 0.102396 | + | 0.177354i | ||||
\(958\) | −29.8356 | − | 17.2256i | −0.0311437 | − | 0.0179808i | ||||
\(959\) | 92.3117 | − | 77.4587i | 0.0962583 | − | 0.0807703i | ||||
\(960\) | −41.6897 | − | 49.6839i | −0.0434268 | − | 0.0517540i | ||||
\(961\) | −188.535 | + | 326.552i | −0.196186 | + | 0.339804i | ||||
\(962\) | 45.9250 | − | 26.5148i | 0.0477391 | − | 0.0275622i | ||||
\(963\) | −195.917 | + | 538.276i | −0.203444 | + | 0.558958i | ||||
\(964\) | 302.202 | + | 53.2863i | 0.313487 | + | 0.0552762i | ||||
\(965\) | −78.1650 | + | 13.7826i | −0.0810000 | + | 0.0142825i | ||||
\(966\) | 34.8443 | − | 12.6823i | 0.0360707 | − | 0.0131287i | ||||
\(967\) | −1060.23 | − | 889.642i | −1.09642 | − | 0.920002i | −0.0992367 | − | 0.995064i | \(-0.531640\pi\) |
−0.997179 | + | 0.0750620i | \(0.976085\pi\) | |||||||
\(968\) | − | 397.248i | − | 0.410380i | ||||||
\(969\) | −50.3571 | + | 354.962i | −0.0519681 | + | 0.366318i | ||||
\(970\) | 26.3800 | 0.0271959 | ||||||||
\(971\) | 569.985 | − | 679.282i | 0.587008 | − | 0.699569i | −0.388020 | − | 0.921651i | \(-0.626841\pi\) |
0.975028 | + | 0.222082i | \(0.0712852\pi\) | |||||||
\(972\) | 20.6404 | + | 56.7091i | 0.0212350 | + | 0.0583427i | ||||
\(973\) | −11.7076 | − | 66.3968i | −0.0120324 | − | 0.0682393i | ||||
\(974\) | 1.82238 | − | 10.3352i | 0.00187103 | − | 0.0106111i | ||||
\(975\) | 231.221 | + | 84.1574i | 0.237149 | + | 0.0863153i | ||||
\(976\) | −152.595 | − | 264.302i | −0.156347 | − | 0.270801i | ||||
\(977\) | −1192.48 | − | 688.480i | −1.22056 | − | 0.704688i | −0.255519 | − | 0.966804i | \(-0.582246\pi\) |
−0.965036 | + | 0.262116i | \(0.915580\pi\) | |||||||
\(978\) | 97.9748 | − | 82.2106i | 0.100179 | − | 0.0840599i | ||||
\(979\) | 1397.83 | + | 1665.87i | 1.42782 | + | 1.70161i | ||||
\(980\) | 61.8434 | − | 107.116i | 0.0631055 | − | 0.109302i | ||||
\(981\) | −455.140 | + | 262.775i | −0.463955 | + | 0.267865i | ||||
\(982\) | 19.8995 | − | 54.6736i | 0.0202643 | − | 0.0556757i | ||||
\(983\) | 1201.88 | + | 211.924i | 1.22267 | + | 0.215589i | 0.747472 | − | 0.664293i | \(-0.231267\pi\) |
0.475193 | + | 0.879882i | \(0.342378\pi\) | |||||||
\(984\) | −145.049 | + | 25.5760i | −0.147407 | + | 0.0259919i | ||||
\(985\) | 154.804 | − | 56.3440i | 0.157161 | − | 0.0572020i | ||||
\(986\) | −20.9357 | − | 17.5671i | −0.0212329 | − | 0.0178165i | ||||
\(987\) | − | 202.337i | − | 0.205002i | ||||||
\(988\) | −426.601 | + | 14.3423i | −0.431783 | + | 0.0145165i | ||||
\(989\) | −128.805 | −0.130238 | ||||||||
\(990\) | 8.06035 | − | 9.60595i | 0.00814177 | − | 0.00970298i | ||||
\(991\) | −116.873 | − | 321.107i | −0.117935 | − | 0.324023i | 0.866654 | − | 0.498910i | \(-0.166266\pi\) |
−0.984589 | + | 0.174887i | \(0.944044\pi\) | |||||||
\(992\) | 69.1673 | + | 392.267i | 0.0697251 | + | 0.395431i | ||||
\(993\) | −63.9472 | + | 362.663i | −0.0643980 | + | 0.365219i | ||||
\(994\) | −66.9455 | − | 24.3662i | −0.0673496 | − | 0.0245132i | ||||
\(995\) | 38.6874 | + | 67.0085i | 0.0388818 | + | 0.0673453i | ||||
\(996\) | 762.678 | + | 440.333i | 0.765741 | + | 0.442101i | ||||
\(997\) | −387.891 | + | 325.480i | −0.389059 | + | 0.326459i | −0.816246 | − | 0.577704i | \(-0.803949\pi\) |
0.427188 | + | 0.904163i | \(0.359504\pi\) | |||||||
\(998\) | −137.641 | − | 164.034i | −0.137917 | − | 0.164363i | ||||
\(999\) | 66.1964 | − | 114.655i | 0.0662626 | − | 0.114770i |
(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 | 57.3.k.a.22.2 | yes | 18 | |
3.2 | odd | 2 | 171.3.ba.c.136.2 | 18 | |||
19.13 | odd | 18 | inner | 57.3.k.a.13.2 | ✓ | 18 | |
57.32 | even | 18 | 171.3.ba.c.127.2 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.3.k.a.13.2 | ✓ | 18 | 19.13 | odd | 18 | inner | |
57.3.k.a.22.2 | yes | 18 | 1.1 | even | 1 | trivial | |
171.3.ba.c.127.2 | 18 | 57.32 | even | 18 | |||
171.3.ba.c.136.2 | 18 | 3.2 | odd | 2 |