Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 109.3 | ||
Character | \(\chi\) | \(=\) | 230.109 |
Dual form | 230.3.i.a.19.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28641 | − | 0.587486i | −0.643207 | − | 0.293743i | ||||
\(3\) | −0.859820 | + | 2.92828i | −0.286607 | + | 0.976092i | 0.682795 | + | 0.730610i | \(0.260764\pi\) |
−0.969401 | + | 0.245482i | \(0.921054\pi\) | |||||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | 2.44584 | + | 4.36095i | 0.489168 | + | 0.872190i | ||||
\(6\) | 2.82640 | − | 3.26184i | 0.471067 | − | 0.543641i | ||||
\(7\) | 1.96650 | − | 13.6773i | 0.280929 | − | 1.95390i | −0.0186309 | − | 0.999826i | \(-0.505931\pi\) |
0.299560 | − | 0.954078i | \(-0.403160\pi\) | |||||||
\(8\) | −0.796860 | − | 2.71386i | −0.0996075 | − | 0.339232i | ||||
\(9\) | −0.264236 | − | 0.169814i | −0.0293596 | − | 0.0188683i | ||||
\(10\) | −0.584368 | − | 7.04688i | −0.0584368 | − | 0.704688i | ||||
\(11\) | 6.64888 | − | 3.03644i | 0.604444 | − | 0.276040i | −0.0895944 | − | 0.995978i | \(-0.528557\pi\) |
0.694038 | + | 0.719938i | \(0.255830\pi\) | |||||||
\(12\) | −5.55221 | + | 2.53561i | −0.462684 | + | 0.211301i | ||||
\(13\) | 21.6520 | − | 3.11308i | 1.66554 | − | 0.239468i | 0.755845 | − | 0.654751i | \(-0.227227\pi\) |
0.909692 | + | 0.415283i | \(0.136317\pi\) | |||||||
\(14\) | −10.5650 | + | 16.4394i | −0.754641 | + | 1.17424i | ||||
\(15\) | −14.8730 | + | 3.41247i | −0.991536 | + | 0.227498i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | −17.9452 | + | 20.7099i | −1.05560 | + | 1.21823i | −0.0804317 | + | 0.996760i | \(0.525630\pi\) |
−0.975168 | + | 0.221467i | \(0.928916\pi\) | |||||||
\(18\) | 0.240154 | + | 0.373686i | 0.0133419 | + | 0.0207604i | ||||
\(19\) | 3.89374 | − | 3.37394i | 0.204934 | − | 0.177576i | −0.546347 | − | 0.837559i | \(-0.683982\pi\) |
0.751281 | + | 0.659983i | \(0.229437\pi\) | |||||||
\(20\) | −3.38820 | + | 9.40851i | −0.169410 | + | 0.470426i | ||||
\(21\) | 38.3602 | + | 17.5185i | 1.82667 | + | 0.834214i | ||||
\(22\) | −10.3371 | −0.469867 | ||||||||
\(23\) | 9.09563 | + | 21.1251i | 0.395462 | + | 0.918482i | ||||
\(24\) | 8.63208 | 0.359670 | ||||||||
\(25\) | −13.0357 | + | 21.3324i | −0.521429 | + | 0.853294i | ||||
\(26\) | −29.6823 | − | 8.71551i | −1.14163 | − | 0.335212i | ||||
\(27\) | −20.0338 | + | 17.3594i | −0.741992 | + | 0.642940i | ||||
\(28\) | 23.2488 | − | 14.9411i | 0.830316 | − | 0.533612i | ||||
\(29\) | 18.1204 | − | 20.9120i | 0.624840 | − | 0.721104i | −0.351779 | − | 0.936083i | \(-0.614423\pi\) |
0.976619 | + | 0.214980i | \(0.0689685\pi\) | |||||||
\(30\) | 21.1377 | + | 4.34785i | 0.704589 | + | 0.144928i | ||||
\(31\) | 14.0578 | − | 4.12775i | 0.453478 | − | 0.133153i | −0.0470141 | − | 0.998894i | \(-0.514971\pi\) |
0.500492 | + | 0.865741i | \(0.333152\pi\) | |||||||
\(32\) | 3.05833 | − | 4.75885i | 0.0955727 | − | 0.148714i | ||||
\(33\) | 3.17471 | + | 22.0806i | 0.0962032 | + | 0.669108i | ||||
\(34\) | 35.2517 | − | 16.0989i | 1.03681 | − | 0.473497i | ||||
\(35\) | 64.4559 | − | 24.8767i | 1.84160 | − | 0.710764i | ||||
\(36\) | −0.0894017 | − | 0.621802i | −0.00248338 | − | 0.0172723i | ||||
\(37\) | 25.9243 | + | 16.6605i | 0.700656 | + | 0.450284i | 0.841860 | − | 0.539696i | \(-0.181461\pi\) |
−0.141204 | + | 0.989981i | \(0.545097\pi\) | |||||||
\(38\) | −6.99110 | + | 2.05277i | −0.183976 | + | 0.0540203i | ||||
\(39\) | −9.50083 | + | 66.0797i | −0.243611 | + | 1.69435i | ||||
\(40\) | 9.88599 | − | 10.1127i | 0.247150 | − | 0.252818i | ||||
\(41\) | 17.5368 | − | 11.2702i | 0.427726 | − | 0.274883i | −0.309016 | − | 0.951057i | \(-0.600000\pi\) |
0.736742 | + | 0.676174i | \(0.236363\pi\) | |||||||
\(42\) | −39.0552 | − | 45.0721i | −0.929885 | − | 1.07315i | ||||
\(43\) | −5.99830 | − | 1.76126i | −0.139495 | − | 0.0409596i | 0.211239 | − | 0.977434i | \(-0.432250\pi\) |
−0.350735 | + | 0.936475i | \(0.614068\pi\) | |||||||
\(44\) | 13.2978 | + | 6.07289i | 0.302222 | + | 0.138020i | ||||
\(45\) | 0.0942719 | − | 1.56766i | 0.00209493 | − | 0.0348369i | ||||
\(46\) | 0.709936 | − | 32.5192i | 0.0154334 | − | 0.706938i | ||||
\(47\) | − | 47.2251i | − | 1.00479i | −0.864638 | − | 0.502395i | \(-0.832452\pi\) | ||
0.864638 | − | 0.502395i | \(-0.167548\pi\) | |||||||
\(48\) | −11.1044 | − | 5.07122i | −0.231342 | − | 0.105650i | ||||
\(49\) | −136.187 | − | 39.9881i | −2.77933 | − | 0.816084i | ||||
\(50\) | 29.3018 | − | 19.7839i | 0.586036 | − | 0.395679i | ||||
\(51\) | −45.2146 | − | 70.3552i | −0.886560 | − | 1.37951i | ||||
\(52\) | 33.0635 | + | 28.6497i | 0.635836 | + | 0.550955i | ||||
\(53\) | −7.47033 | + | 51.9573i | −0.140950 | + | 0.980326i | 0.789459 | + | 0.613803i | \(0.210361\pi\) |
−0.930409 | + | 0.366523i | \(0.880548\pi\) | |||||||
\(54\) | 35.9701 | − | 10.5618i | 0.666114 | − | 0.195589i | ||||
\(55\) | 29.5039 | + | 21.5688i | 0.536434 | + | 0.392160i | ||||
\(56\) | −38.6853 | + | 5.56211i | −0.690809 | + | 0.0993234i | ||||
\(57\) | 6.53193 | + | 14.3029i | 0.114595 | + | 0.250929i | ||||
\(58\) | −35.5958 | + | 16.2560i | −0.613720 | + | 0.280277i | ||||
\(59\) | 5.58871 | + | 38.8703i | 0.0947239 | + | 0.658819i | 0.980762 | + | 0.195207i | \(0.0625379\pi\) |
−0.886038 | + | 0.463612i | \(0.846553\pi\) | |||||||
\(60\) | −24.6375 | − | 18.0112i | −0.410625 | − | 0.300187i | ||||
\(61\) | −0.144207 | − | 0.491123i | −0.00236405 | − | 0.00805120i | 0.958303 | − | 0.285756i | \(-0.0922446\pi\) |
−0.960667 | + | 0.277704i | \(0.910426\pi\) | |||||||
\(62\) | −20.5092 | − | 2.94877i | −0.330793 | − | 0.0475609i | ||||
\(63\) | −2.84223 | + | 3.28010i | −0.0451147 | + | 0.0520652i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | 66.5333 | + | 86.8091i | 1.02359 | + | 1.33552i | ||||
\(66\) | 8.88803 | − | 30.2698i | 0.134667 | − | 0.458634i | ||||
\(67\) | 22.6832 | − | 49.6692i | 0.338555 | − | 0.741332i | −0.661407 | − | 0.750027i | \(-0.730040\pi\) |
0.999962 | + | 0.00869505i | \(0.00276776\pi\) | |||||||
\(68\) | −54.8061 | −0.805973 | ||||||||
\(69\) | −69.6807 | + | 8.47077i | −1.00987 | + | 0.122765i | ||||
\(70\) | −97.5316 | − | 5.86511i | −1.39331 | − | 0.0837873i | ||||
\(71\) | −16.7283 | + | 36.6299i | −0.235610 | + | 0.515915i | −0.990094 | − | 0.140404i | \(-0.955160\pi\) |
0.754484 | + | 0.656318i | \(0.227887\pi\) | |||||||
\(72\) | −0.250292 | + | 0.852417i | −0.00347628 | + | 0.0118391i | ||||
\(73\) | −49.7947 | + | 43.1473i | −0.682119 | + | 0.591060i | −0.925444 | − | 0.378885i | \(-0.876307\pi\) |
0.243324 | + | 0.969945i | \(0.421762\pi\) | |||||||
\(74\) | −23.5615 | − | 36.6624i | −0.318399 | − | 0.495438i | ||||
\(75\) | −51.2587 | − | 56.5142i | −0.683449 | − | 0.753523i | ||||
\(76\) | 10.1994 | + | 1.46646i | 0.134203 | + | 0.0192955i | ||||
\(77\) | −28.4554 | − | 96.9101i | −0.369550 | − | 1.25857i | ||||
\(78\) | 51.0429 | − | 79.4242i | 0.654396 | − | 1.01826i | ||||
\(79\) | 112.467 | − | 16.1703i | 1.42363 | − | 0.204687i | 0.612926 | − | 0.790141i | \(-0.289992\pi\) |
0.810706 | + | 0.585453i | \(0.199083\pi\) | |||||||
\(80\) | −18.6586 | + | 7.20127i | −0.233232 | + | 0.0900159i | ||||
\(81\) | −34.7820 | − | 76.1619i | −0.429407 | − | 0.940270i | ||||
\(82\) | −29.1806 | + | 4.19554i | −0.355861 | + | 0.0511651i | ||||
\(83\) | 62.5752 | + | 40.2147i | 0.753918 | + | 0.484514i | 0.860285 | − | 0.509813i | \(-0.170285\pi\) |
−0.106367 | + | 0.994327i | \(0.533922\pi\) | |||||||
\(84\) | 23.7619 | + | 80.9257i | 0.282880 | + | 0.963401i | ||||
\(85\) | −134.206 | − | 27.6051i | −1.57889 | − | 0.324765i | ||||
\(86\) | 6.68159 | + | 5.78963i | 0.0776929 | + | 0.0673212i | ||||
\(87\) | 45.6559 | + | 71.0420i | 0.524781 | + | 0.816575i | ||||
\(88\) | −13.5387 | − | 15.6245i | −0.153849 | − | 0.177551i | ||||
\(89\) | 9.74432 | − | 33.1861i | 0.109487 | − | 0.372878i | −0.886462 | − | 0.462802i | \(-0.846844\pi\) |
0.995949 | + | 0.0899240i | \(0.0286624\pi\) | |||||||
\(90\) | −1.04225 | + | 1.96127i | −0.0115806 | + | 0.0217919i | ||||
\(91\) | − | 302.263i | − | 3.32157i | ||||||
\(92\) | −20.0178 | + | 41.4160i | −0.217585 | + | 0.450174i | ||||
\(93\) | 44.7143i | 0.480799i | ||||||||
\(94\) | −27.7441 | + | 60.7510i | −0.295150 | + | 0.646288i | ||||
\(95\) | 24.2370 | + | 8.72826i | 0.255127 | + | 0.0918764i | ||||
\(96\) | 11.3056 | + | 13.0474i | 0.117767 | + | 0.135910i | ||||
\(97\) | −50.5581 | + | 32.4917i | −0.521218 | + | 0.334966i | −0.774654 | − | 0.632386i | \(-0.782076\pi\) |
0.253436 | + | 0.967352i | \(0.418439\pi\) | |||||||
\(98\) | 151.700 | + | 131.449i | 1.54796 | + | 1.34132i | ||||
\(99\) | −2.27251 | − | 0.326737i | −0.0229546 | − | 0.00330038i | ||||
\(100\) | −49.3170 | + | 8.23595i | −0.493170 | + | 0.0823595i | ||||
\(101\) | −33.4892 | − | 21.5222i | −0.331576 | − | 0.213091i | 0.364250 | − | 0.931301i | \(-0.381325\pi\) |
−0.695826 | + | 0.718210i | \(0.744962\pi\) | |||||||
\(102\) | 16.8320 | + | 117.069i | 0.165019 | + | 1.14773i | ||||
\(103\) | −62.9821 | − | 137.912i | −0.611476 | − | 1.33895i | −0.921560 | − | 0.388237i | \(-0.873084\pi\) |
0.310083 | − | 0.950709i | \(-0.399643\pi\) | |||||||
\(104\) | −25.7021 | − | 56.2797i | −0.247135 | − | 0.541151i | ||||
\(105\) | 17.4256 | + | 210.134i | 0.165958 | + | 2.00128i | ||||
\(106\) | 40.1341 | − | 62.4499i | 0.378624 | − | 0.589150i | ||||
\(107\) | −4.29192 | + | 1.26022i | −0.0401114 | + | 0.0117778i | −0.301727 | − | 0.953394i | \(-0.597563\pi\) |
0.261615 | + | 0.965172i | \(0.415745\pi\) | |||||||
\(108\) | −52.4774 | − | 7.54511i | −0.485902 | − | 0.0698621i | ||||
\(109\) | −77.9021 | − | 67.5025i | −0.714698 | − | 0.619289i | 0.219680 | − | 0.975572i | \(-0.429499\pi\) |
−0.934378 | + | 0.356283i | \(0.884044\pi\) | |||||||
\(110\) | −25.2828 | − | 45.0795i | −0.229844 | − | 0.409813i | ||||
\(111\) | −71.0768 | + | 61.5884i | −0.640331 | + | 0.554850i | ||||
\(112\) | 53.0330 | + | 15.5719i | 0.473509 | + | 0.139035i | ||||
\(113\) | 29.0313 | − | 63.5697i | 0.256914 | − | 0.562563i | −0.736593 | − | 0.676337i | \(-0.763566\pi\) |
0.993507 | + | 0.113773i | \(0.0362937\pi\) | |||||||
\(114\) | − | 22.2369i | − | 0.195060i | ||||||
\(115\) | −69.8790 | + | 91.3342i | −0.607643 | + | 0.794210i | ||||
\(116\) | 55.3411 | 0.477078 | ||||||||
\(117\) | −6.24988 | − | 2.85423i | −0.0534178 | − | 0.0243951i | ||||
\(118\) | 15.6464 | − | 53.2866i | 0.132596 | − | 0.451582i | ||||
\(119\) | 247.966 | + | 286.168i | 2.08375 | + | 2.40478i | ||||
\(120\) | 21.1127 | + | 37.6440i | 0.175939 | + | 0.313700i | ||||
\(121\) | −44.2505 | + | 51.0678i | −0.365707 | + | 0.422048i | ||||
\(122\) | −0.103018 | + | 0.716507i | −0.000844411 | + | 0.00587301i | ||||
\(123\) | 17.9238 | + | 61.0429i | 0.145722 | + | 0.496284i | ||||
\(124\) | 24.6509 | + | 15.8422i | 0.198798 | + | 0.127760i | ||||
\(125\) | −124.913 | − | 4.67263i | −0.999301 | − | 0.0373810i | ||||
\(126\) | 5.58329 | − | 2.54981i | 0.0443119 | − | 0.0202365i | ||||
\(127\) | 152.178 | − | 69.4975i | 1.19825 | − | 0.547224i | 0.286547 | − | 0.958066i | \(-0.407492\pi\) |
0.911707 | + | 0.410842i | \(0.134765\pi\) | |||||||
\(128\) | 11.1986 | − | 1.61011i | 0.0874887 | − | 0.0125790i | ||||
\(129\) | 10.3149 | − | 16.0503i | 0.0799606 | − | 0.124421i | ||||
\(130\) | −34.5903 | − | 150.760i | −0.266079 | − | 1.15969i | ||||
\(131\) | 20.2473 | − | 140.823i | 0.154560 | − | 1.07499i | −0.753892 | − | 0.656998i | \(-0.771826\pi\) |
0.908452 | − | 0.417989i | \(-0.137265\pi\) | |||||||
\(132\) | −29.2168 | + | 33.7180i | −0.221339 | + | 0.255439i | ||||
\(133\) | −38.4895 | − | 59.8908i | −0.289395 | − | 0.450307i | ||||
\(134\) | −58.3599 | + | 50.5692i | −0.435522 | + | 0.377382i | ||||
\(135\) | −124.703 | − | 44.9081i | −0.923725 | − | 0.332652i | ||||
\(136\) | 70.5034 | + | 32.1978i | 0.518407 | + | 0.236749i | ||||
\(137\) | 127.438 | 0.930201 | 0.465101 | − | 0.885258i | \(-0.346018\pi\) | ||||
0.465101 | + | 0.885258i | \(0.346018\pi\) | |||||||
\(138\) | 94.6147 | + | 30.0395i | 0.685614 | + | 0.217678i | ||||
\(139\) | −179.067 | −1.28825 | −0.644125 | − | 0.764921i | \(-0.722778\pi\) | ||||
−0.644125 | + | 0.764921i | \(0.722778\pi\) | |||||||
\(140\) | 122.020 | + | 64.8434i | 0.871574 | + | 0.463167i | ||||
\(141\) | 138.288 | + | 40.6051i | 0.980768 | + | 0.287979i | ||||
\(142\) | 43.0391 | − | 37.2936i | 0.303092 | − | 0.262631i | ||||
\(143\) | 134.509 | − | 86.4435i | 0.940621 | − | 0.604500i | ||||
\(144\) | 0.822762 | − | 0.949518i | 0.00571363 | − | 0.00659388i | ||||
\(145\) | 135.516 | + | 27.8745i | 0.934591 | + | 0.192238i | ||||
\(146\) | 89.4050 | − | 26.2517i | 0.612363 | − | 0.179806i | ||||
\(147\) | 234.193 | − | 364.411i | 1.59315 | − | 2.47898i | ||||
\(148\) | 8.77121 | + | 61.0051i | 0.0592650 | + | 0.412197i | ||||
\(149\) | 49.9873 | − | 22.8284i | 0.335485 | − | 0.153211i | −0.240548 | − | 0.970637i | \(-0.577327\pi\) |
0.576033 | + | 0.817426i | \(0.304600\pi\) | |||||||
\(150\) | 32.7386 | + | 102.814i | 0.218257 | + | 0.685430i | ||||
\(151\) | 14.7604 | + | 102.661i | 0.0977512 | + | 0.679875i | 0.978493 | + | 0.206279i | \(0.0661353\pi\) |
−0.880742 | + | 0.473596i | \(0.842956\pi\) | |||||||
\(152\) | −12.2592 | − | 7.87848i | −0.0806524 | − | 0.0518321i | ||||
\(153\) | 8.25860 | − | 2.42494i | 0.0539778 | − | 0.0158493i | ||||
\(154\) | −20.3279 | + | 141.384i | −0.131999 | + | 0.918076i | ||||
\(155\) | 52.3841 | + | 51.2096i | 0.337962 | + | 0.330385i | ||||
\(156\) | −112.323 | + | 72.1855i | −0.720018 | + | 0.462728i | ||||
\(157\) | 35.9478 | + | 41.4860i | 0.228967 | + | 0.264242i | 0.858595 | − | 0.512655i | \(-0.171338\pi\) |
−0.629628 | + | 0.776897i | \(0.716793\pi\) | |||||||
\(158\) | −154.179 | − | 45.2710i | −0.975815 | − | 0.286525i | ||||
\(159\) | −145.722 | − | 66.5491i | −0.916492 | − | 0.418548i | ||||
\(160\) | 28.2333 | + | 1.69782i | 0.176458 | + | 0.0106114i | ||||
\(161\) | 306.821 | − | 82.8614i | 1.90572 | − | 0.514667i | ||||
\(162\) | 118.410i | 0.730923i | ||||||||
\(163\) | −108.526 | − | 49.5621i | −0.665803 | − | 0.304062i | 0.0536943 | − | 0.998557i | \(-0.482900\pi\) |
−0.719497 | + | 0.694496i | \(0.755628\pi\) | |||||||
\(164\) | 40.0032 | + | 11.7460i | 0.243922 | + | 0.0716219i | ||||
\(165\) | −88.5274 | + | 67.8503i | −0.536530 | + | 0.411214i | ||||
\(166\) | −56.8721 | − | 88.4947i | −0.342603 | − | 0.533101i | ||||
\(167\) | −183.175 | − | 158.722i | −1.09685 | − | 0.950430i | −0.0978576 | − | 0.995200i | \(-0.531199\pi\) |
−0.998997 | + | 0.0447703i | \(0.985744\pi\) | |||||||
\(168\) | 16.9750 | − | 118.064i | 0.101042 | − | 0.702761i | ||||
\(169\) | 296.963 | − | 87.1961i | 1.75718 | − | 0.515953i | ||||
\(170\) | 156.426 | + | 114.355i | 0.920156 | + | 0.672679i | ||||
\(171\) | −1.60181 | + | 0.230306i | −0.00936731 | + | 0.00134682i | ||||
\(172\) | −5.19396 | − | 11.3732i | −0.0301975 | − | 0.0661232i | ||||
\(173\) | −257.749 | + | 117.710i | −1.48988 | + | 0.680406i | −0.983334 | − | 0.181807i | \(-0.941805\pi\) |
−0.506547 | + | 0.862213i | \(0.669078\pi\) | |||||||
\(174\) | −16.9963 | − | 118.212i | −0.0976797 | − | 0.679377i | ||||
\(175\) | 266.135 | + | 220.244i | 1.52077 | + | 1.25854i | ||||
\(176\) | 8.23721 | + | 28.0533i | 0.0468023 | + | 0.159394i | ||||
\(177\) | −118.628 | − | 17.0562i | −0.670217 | − | 0.0963627i | ||||
\(178\) | −32.0316 | + | 36.9664i | −0.179953 | + | 0.207677i | ||||
\(179\) | −260.792 | + | 167.601i | −1.45694 | + | 0.936316i | −0.458060 | + | 0.888921i | \(0.651456\pi\) |
−0.998876 | + | 0.0473948i | \(0.984908\pi\) | |||||||
\(180\) | 2.49299 | − | 1.91070i | 0.0138499 | − | 0.0106150i | ||||
\(181\) | 27.9170 | − | 95.0766i | 0.154238 | − | 0.525285i | −0.845728 | − | 0.533615i | \(-0.820833\pi\) |
0.999965 | + | 0.00832979i | \(0.00265148\pi\) | |||||||
\(182\) | −177.575 | + | 388.835i | −0.975688 | + | 2.13646i | ||||
\(183\) | 1.56214 | 0.00853626 | ||||||||
\(184\) | 50.0825 | − | 41.5180i | 0.272188 | − | 0.225641i | ||||
\(185\) | −9.24903 | + | 153.803i | −0.0499948 | + | 0.831369i | ||||
\(186\) | 26.2690 | − | 57.5211i | 0.141231 | − | 0.309253i | ||||
\(187\) | −56.4312 | + | 192.187i | −0.301771 | + | 1.02774i | ||||
\(188\) | 71.3807 | − | 61.8517i | 0.379685 | − | 0.328999i | ||||
\(189\) | 198.033 | + | 308.146i | 1.04780 | + | 1.63040i | ||||
\(190\) | −26.0511 | − | 25.4671i | −0.137111 | − | 0.134037i | ||||
\(191\) | −80.3355 | − | 11.5505i | −0.420605 | − | 0.0604739i | −0.0712369 | − | 0.997459i | \(-0.522695\pi\) |
−0.349368 | + | 0.936986i | \(0.613604\pi\) | |||||||
\(192\) | −6.87856 | − | 23.4262i | −0.0358258 | − | 0.122012i | ||||
\(193\) | −78.7687 | + | 122.567i | −0.408128 | + | 0.635060i | −0.983091 | − | 0.183120i | \(-0.941380\pi\) |
0.574962 | + | 0.818180i | \(0.305017\pi\) | |||||||
\(194\) | 84.1271 | − | 12.0957i | 0.433645 | − | 0.0623487i | ||||
\(195\) | −311.408 | + | 120.188i | −1.59696 | + | 0.616347i | ||||
\(196\) | −117.925 | − | 258.220i | −0.601658 | − | 1.31745i | ||||
\(197\) | 225.169 | − | 32.3745i | 1.14299 | − | 0.164337i | 0.455298 | − | 0.890339i | \(-0.349533\pi\) |
0.687693 | + | 0.726002i | \(0.258624\pi\) | |||||||
\(198\) | 2.73143 | + | 1.75538i | 0.0137951 | + | 0.00886558i | ||||
\(199\) | 11.1835 | + | 38.0876i | 0.0561986 | + | 0.191395i | 0.982808 | − | 0.184630i | \(-0.0591088\pi\) |
−0.926609 | + | 0.376025i | \(0.877291\pi\) | |||||||
\(200\) | 68.2806 | + | 18.3782i | 0.341403 | + | 0.0918910i | ||||
\(201\) | 125.942 | + | 109.129i | 0.626576 | + | 0.542932i | ||||
\(202\) | 30.4370 | + | 47.3609i | 0.150678 | + | 0.234460i | ||||
\(203\) | −250.387 | − | 288.962i | −1.23343 | − | 1.42346i | ||||
\(204\) | 47.1234 | − | 160.488i | 0.230997 | − | 0.786704i | ||||
\(205\) | 92.0409 | + | 48.9119i | 0.448980 | + | 0.238594i | ||||
\(206\) | 214.412i | 1.04084i | ||||||||
\(207\) | 1.18395 | − | 7.12658i | 0.00571955 | − | 0.0344279i | ||||
\(208\) | 87.4985i | 0.420666i | ||||||||
\(209\) | 15.6442 | − | 34.2561i | 0.0748527 | − | 0.163905i | ||||
\(210\) | 101.034 | − | 280.557i | 0.481116 | − | 1.33598i | ||||
\(211\) | −201.450 | − | 232.486i | −0.954741 | − | 1.10183i | −0.994720 | − | 0.102629i | \(-0.967275\pi\) |
0.0399789 | − | 0.999201i | \(-0.487271\pi\) | |||||||
\(212\) | −88.3175 | + | 56.7582i | −0.416592 | + | 0.267727i | ||||
\(213\) | −92.8793 | − | 80.4803i | −0.436053 | − | 0.377842i | ||||
\(214\) | 6.26155 | + | 0.900274i | 0.0292596 | + | 0.00420689i | ||||
\(215\) | −6.99012 | − | 30.4661i | −0.0325122 | − | 0.141703i | ||||
\(216\) | 63.0750 | + | 40.5358i | 0.292014 | + | 0.187666i | ||||
\(217\) | −28.8118 | − | 200.391i | −0.132773 | − | 0.923459i | ||||
\(218\) | 60.5575 | + | 132.603i | 0.277787 | + | 0.608269i | ||||
\(219\) | −83.5329 | − | 182.912i | −0.381429 | − | 0.835213i | ||||
\(220\) | 6.04066 | + | 72.8442i | 0.0274576 | + | 0.331110i | ||||
\(221\) | −324.077 | + | 504.274i | −1.46641 | + | 2.28178i | ||||
\(222\) | 127.616 | − | 37.4716i | 0.574849 | − | 0.168791i | ||||
\(223\) | −55.5639 | − | 7.98888i | −0.249165 | − | 0.0358246i | 0.0166004 | − | 0.999862i | \(-0.494716\pi\) |
−0.265766 | + | 0.964038i | \(0.585625\pi\) | |||||||
\(224\) | −59.0741 | − | 51.1880i | −0.263724 | − | 0.228518i | ||||
\(225\) | 7.06705 | − | 3.42313i | 0.0314091 | − | 0.0152139i | ||||
\(226\) | −74.6925 | + | 64.7214i | −0.330498 | + | 0.286378i | ||||
\(227\) | −94.9466 | − | 27.8788i | −0.418267 | − | 0.122814i | 0.0658254 | − | 0.997831i | \(-0.479032\pi\) |
−0.484092 | + | 0.875017i | \(0.660850\pi\) | |||||||
\(228\) | −13.0639 | + | 28.6058i | −0.0572976 | + | 0.125464i | ||||
\(229\) | − | 227.381i | − | 0.992930i | −0.868057 | − | 0.496465i | \(-0.834631\pi\) | ||
0.868057 | − | 0.496465i | \(-0.165369\pi\) | |||||||
\(230\) | 143.551 | − | 76.4407i | 0.624134 | − | 0.332351i | ||||
\(231\) | 308.246 | 1.33440 | ||||||||
\(232\) | −71.1916 | − | 32.5121i | −0.306860 | − | 0.140138i | ||||
\(233\) | 8.51766 | − | 29.0085i | 0.0365565 | − | 0.124500i | −0.939193 | − | 0.343389i | \(-0.888425\pi\) |
0.975750 | + | 0.218889i | \(0.0702433\pi\) | |||||||
\(234\) | 6.36312 | + | 7.34343i | 0.0271928 | + | 0.0313822i | ||||
\(235\) | 205.946 | − | 115.505i | 0.876367 | − | 0.491511i | ||||
\(236\) | −51.4328 | + | 59.3566i | −0.217936 | + | 0.251511i | ||||
\(237\) | −49.3502 | + | 343.238i | −0.208229 | + | 1.44826i | ||||
\(238\) | −150.867 | − | 513.807i | −0.633897 | − | 2.15885i | ||||
\(239\) | −149.403 | − | 96.0153i | −0.625116 | − | 0.401738i | 0.189382 | − | 0.981903i | \(-0.439351\pi\) |
−0.814499 | + | 0.580166i | \(0.802988\pi\) | |||||||
\(240\) | −5.04431 | − | 60.8292i | −0.0210180 | − | 0.253455i | ||||
\(241\) | −222.930 | + | 101.809i | −0.925022 | + | 0.422444i | −0.820219 | − | 0.572049i | \(-0.806149\pi\) |
−0.104803 | + | 0.994493i | \(0.533421\pi\) | |||||||
\(242\) | 86.9260 | − | 39.6978i | 0.359199 | − | 0.164040i | ||||
\(243\) | 16.7811 | − | 2.41276i | 0.0690579 | − | 0.00992903i | ||||
\(244\) | 0.553461 | − | 0.861203i | 0.00226828 | − | 0.00352952i | ||||
\(245\) | −158.706 | − | 691.709i | −0.647778 | − | 2.82330i | ||||
\(246\) | 12.8044 | − | 89.0564i | 0.0520503 | − | 0.362018i | ||||
\(247\) | 73.8038 | − | 85.1741i | 0.298801 | − | 0.344834i | ||||
\(248\) | −22.4042 | − | 34.8617i | −0.0903396 | − | 0.140571i | ||||
\(249\) | −171.563 | + | 148.660i | −0.689008 | + | 0.597029i | ||||
\(250\) | 157.944 | + | 79.3953i | 0.631777 | + | 0.317581i | ||||
\(251\) | 104.395 | + | 47.6757i | 0.415917 | + | 0.189943i | 0.612372 | − | 0.790570i | \(-0.290216\pi\) |
−0.196455 | + | 0.980513i | \(0.562943\pi\) | |||||||
\(252\) | −8.68040 | −0.0344460 | ||||||||
\(253\) | 124.621 | + | 112.840i | 0.492573 | + | 0.446007i | ||||
\(254\) | −236.593 | −0.931469 | ||||||||
\(255\) | 196.228 | − | 369.256i | 0.769521 | − | 1.44806i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −320.879 | + | 278.043i | −1.24856 | + | 1.08188i | −0.255190 | + | 0.966891i | \(0.582138\pi\) |
−0.993367 | + | 0.114989i | \(0.963317\pi\) | |||||||
\(258\) | −22.6986 | + | 14.5875i | −0.0879790 | + | 0.0565407i | ||||
\(259\) | 278.851 | − | 321.812i | 1.07665 | − | 1.24252i | ||||
\(260\) | −44.0718 | + | 214.261i | −0.169507 | + | 0.824080i | ||||
\(261\) | −8.33921 | + | 2.44861i | −0.0319510 | + | 0.00938166i | ||||
\(262\) | −108.778 | + | 169.262i | −0.415184 | + | 0.646038i | ||||
\(263\) | −10.5718 | − | 73.5284i | −0.0401969 | − | 0.279576i | 0.959802 | − | 0.280676i | \(-0.0905588\pi\) |
−0.999999 | + | 0.00110056i | \(0.999650\pi\) | |||||||
\(264\) | 57.3937 | − | 26.2108i | 0.217400 | − | 0.0992834i | ||||
\(265\) | −244.854 | + | 94.5015i | −0.923979 | + | 0.356609i | ||||
\(266\) | 14.3284 | + | 99.6563i | 0.0538662 | + | 0.374648i | ||||
\(267\) | 88.7998 | + | 57.0681i | 0.332583 | + | 0.213738i | ||||
\(268\) | 104.784 | − | 30.7673i | 0.390984 | − | 0.114803i | ||||
\(269\) | −15.6596 | + | 108.915i | −0.0582139 | + | 0.404887i | 0.939791 | + | 0.341750i | \(0.111020\pi\) |
−0.998005 | + | 0.0631369i | \(0.979890\pi\) | |||||||
\(270\) | 134.037 | + | 131.031i | 0.496432 | + | 0.485302i | ||||
\(271\) | −98.4478 | + | 63.2686i | −0.363276 | + | 0.233463i | −0.709527 | − | 0.704679i | \(-0.751091\pi\) |
0.346250 | + | 0.938142i | \(0.387455\pi\) | |||||||
\(272\) | −71.7808 | − | 82.8394i | −0.263900 | − | 0.304557i | ||||
\(273\) | 885.110 | + | 259.892i | 3.24216 | + | 0.951985i | ||||
\(274\) | −163.937 | − | 74.8677i | −0.598312 | − | 0.273240i | ||||
\(275\) | −21.8986 | + | 181.419i | −0.0796312 | + | 0.659704i | ||||
\(276\) | −104.066 | − | 94.2280i | −0.377050 | − | 0.341406i | ||||
\(277\) | − | 326.807i | − | 1.17981i | −0.807474 | − | 0.589904i | \(-0.799166\pi\) | ||
0.807474 | − | 0.589904i | \(-0.200834\pi\) | |||||||
\(278\) | 230.354 | + | 105.199i | 0.828611 | + | 0.378414i | ||||
\(279\) | −4.41554 | − | 1.29652i | −0.0158263 | − | 0.00464702i | ||||
\(280\) | −118.874 | − | 155.101i | −0.424551 | − | 0.553931i | ||||
\(281\) | −70.6727 | − | 109.969i | −0.251504 | − | 0.391348i | 0.692428 | − | 0.721487i | \(-0.256541\pi\) |
−0.943932 | + | 0.330139i | \(0.892905\pi\) | |||||||
\(282\) | −154.041 | − | 133.477i | −0.546245 | − | 0.473324i | ||||
\(283\) | −17.2364 | + | 119.882i | −0.0609059 | + | 0.423610i | 0.936442 | + | 0.350823i | \(0.114098\pi\) |
−0.997348 | + | 0.0727864i | \(0.976811\pi\) | |||||||
\(284\) | −77.2756 | + | 22.6902i | −0.272097 | + | 0.0798949i | ||||
\(285\) | −46.3983 | + | 63.4681i | −0.162801 | + | 0.222695i | ||||
\(286\) | −223.818 | + | 32.1802i | −0.782581 | + | 0.112518i | ||||
\(287\) | −119.660 | − | 262.019i | −0.416934 | − | 0.912959i | ||||
\(288\) | −1.61624 | + | 0.738113i | −0.00561195 | + | 0.00256289i | ||||
\(289\) | −65.7392 | − | 457.226i | −0.227471 | − | 1.58210i | ||||
\(290\) | −157.953 | − | 115.472i | −0.544667 | − | 0.398178i | ||||
\(291\) | −51.6739 | − | 175.985i | −0.177574 | − | 0.604760i | ||||
\(292\) | −130.434 | − | 18.7536i | −0.446693 | − | 0.0642248i | ||||
\(293\) | 222.889 | − | 257.228i | 0.760715 | − | 0.877912i | −0.234846 | − | 0.972033i | \(-0.575459\pi\) |
0.995561 | + | 0.0941209i | \(0.0300040\pi\) | |||||||
\(294\) | −515.355 | + | 331.198i | −1.75291 | + | 1.12652i | ||||
\(295\) | −155.842 | + | 119.443i | −0.528279 | + | 0.404891i | ||||
\(296\) | 24.5562 | − | 83.6308i | 0.0829602 | − | 0.282536i | ||||
\(297\) | −80.4916 | + | 176.252i | −0.271015 | + | 0.593441i | ||||
\(298\) | −77.7157 | −0.260791 | ||||||||
\(299\) | 262.703 | + | 429.085i | 0.878604 | + | 1.43507i | ||||
\(300\) | 18.2866 | − | 151.495i | 0.0609554 | − | 0.504985i | ||||
\(301\) | −35.8850 | + | 78.5772i | −0.119219 | + | 0.261054i | ||||
\(302\) | 41.3239 | − | 140.736i | 0.136834 | − | 0.466014i | ||||
\(303\) | 91.8177 | − | 79.5605i | 0.303029 | − | 0.262576i | ||||
\(304\) | 11.1419 | + | 17.3371i | 0.0366508 | + | 0.0570298i | ||||
\(305\) | 1.78906 | − | 1.83009i | 0.00586576 | − | 0.00600028i | ||||
\(306\) | −12.0486 | − | 1.73233i | −0.0393745 | − | 0.00566120i | ||||
\(307\) | 41.7443 | + | 142.168i | 0.135975 | + | 0.463088i | 0.999123 | − | 0.0418619i | \(-0.0133290\pi\) |
−0.863148 | + | 0.504950i | \(0.831511\pi\) | |||||||
\(308\) | 109.211 | − | 169.936i | 0.354581 | − | 0.551739i | ||||
\(309\) | 457.996 | − | 65.8499i | 1.48219 | − | 0.213107i | ||||
\(310\) | −37.3027 | − | 96.6516i | −0.120331 | − | 0.311779i | ||||
\(311\) | −51.1183 | − | 111.933i | −0.164367 | − | 0.359914i | 0.809470 | − | 0.587162i | \(-0.199755\pi\) |
−0.973837 | + | 0.227247i | \(0.927027\pi\) | |||||||
\(312\) | 186.902 | − | 26.8724i | 0.599044 | − | 0.0861295i | ||||
\(313\) | 369.327 | + | 237.352i | 1.17996 | + | 0.758313i | 0.975379 | − | 0.220537i | \(-0.0707808\pi\) |
0.204580 | + | 0.978850i | \(0.434417\pi\) | |||||||
\(314\) | −21.8713 | − | 74.4870i | −0.0696540 | − | 0.237220i | ||||
\(315\) | −21.2560 | − | 4.37219i | −0.0674794 | − | 0.0138800i | ||||
\(316\) | 171.742 | + | 148.815i | 0.543487 | + | 0.470934i | ||||
\(317\) | −4.26518 | − | 6.63676i | −0.0134548 | − | 0.0209361i | 0.834461 | − | 0.551067i | \(-0.185779\pi\) |
−0.847916 | + | 0.530131i | \(0.822143\pi\) | |||||||
\(318\) | 148.362 | + | 171.219i | 0.466549 | + | 0.538426i | ||||
\(319\) | 56.9820 | − | 194.063i | 0.178627 | − | 0.608348i | ||||
\(320\) | −35.3222 | − | 18.7707i | −0.110382 | − | 0.0586586i | ||||
\(321\) | − | 13.6515i | − | 0.0425280i | ||||||
\(322\) | −443.379 | − | 73.6591i | −1.37695 | − | 0.228755i | ||||
\(323\) | 141.185i | 0.437105i | ||||||||
\(324\) | 69.5639 | − | 152.324i | 0.214703 | − | 0.470135i | ||||
\(325\) | −215.840 | + | 502.469i | −0.664123 | + | 1.54606i | ||||
\(326\) | 110.492 | + | 127.515i | 0.338933 | + | 0.391149i | ||||
\(327\) | 264.648 | − | 170.079i | 0.809321 | − | 0.520119i | ||||
\(328\) | −44.5601 | − | 38.6115i | −0.135854 | − | 0.117718i | ||||
\(329\) | −645.913 | − | 92.8683i | −1.96326 | − | 0.282275i | ||||
\(330\) | 153.744 | − | 35.2750i | 0.465891 | − | 0.106894i | ||||
\(331\) | 129.783 | + | 83.4064i | 0.392093 | + | 0.251983i | 0.721802 | − | 0.692100i | \(-0.243314\pi\) |
−0.329709 | + | 0.944083i | \(0.606950\pi\) | |||||||
\(332\) | 21.1717 | + | 147.252i | 0.0637702 | + | 0.443531i | ||||
\(333\) | −4.02094 | − | 8.80462i | −0.0120749 | − | 0.0264403i | ||||
\(334\) | 142.392 | + | 311.795i | 0.426323 | + | 0.933516i | ||||
\(335\) | 272.084 | − | 22.5628i | 0.812192 | − | 0.0673517i | ||||
\(336\) | −91.1976 | + | 141.906i | −0.271422 | + | 0.422340i | ||||
\(337\) | 499.503 | − | 146.667i | 1.48221 | − | 0.435215i | 0.562161 | − | 0.827028i | \(-0.309970\pi\) |
0.920045 | + | 0.391813i | \(0.128152\pi\) | |||||||
\(338\) | −433.243 | − | 62.2910i | −1.28179 | − | 0.184293i | ||||
\(339\) | 161.188 | + | 139.670i | 0.475481 | + | 0.412006i | ||||
\(340\) | −134.047 | − | 239.007i | −0.394256 | − | 0.702961i | ||||
\(341\) | 80.9351 | − | 70.1307i | 0.237346 | − | 0.205662i | ||||
\(342\) | 2.19589 | + | 0.644772i | 0.00642074 | + | 0.00188530i | ||||
\(343\) | −533.473 | + | 1168.14i | −1.55532 | + | 3.40567i | ||||
\(344\) | 17.6820i | 0.0514012i | ||||||||
\(345\) | −207.368 | − | 283.156i | −0.601068 | − | 0.820742i | ||||
\(346\) | 400.725 | 1.15817 | ||||||||
\(347\) | 385.200 | + | 175.915i | 1.11009 | + | 0.506960i | 0.884160 | − | 0.467184i | \(-0.154731\pi\) |
0.225928 | + | 0.974144i | \(0.427459\pi\) | |||||||
\(348\) | −47.5834 | + | 162.054i | −0.136734 | + | 0.465673i | ||||
\(349\) | 98.0539 | + | 113.160i | 0.280957 | + | 0.324241i | 0.878634 | − | 0.477495i | \(-0.158455\pi\) |
−0.597678 | + | 0.801737i | \(0.703910\pi\) | |||||||
\(350\) | −212.969 | − | 439.676i | −0.608484 | − | 1.25622i | ||||
\(351\) | −379.730 | + | 438.232i | −1.08185 | + | 1.24852i | ||||
\(352\) | 5.88448 | − | 40.9275i | 0.0167173 | − | 0.116271i | ||||
\(353\) | −135.431 | − | 461.237i | −0.383658 | − | 1.30662i | −0.894547 | − | 0.446974i | \(-0.852502\pi\) |
0.510889 | − | 0.859647i | \(-0.329316\pi\) | |||||||
\(354\) | 142.585 | + | 91.6338i | 0.402782 | + | 0.258853i | ||||
\(355\) | −200.656 | + | 16.6396i | −0.565228 | + | 0.0468720i | ||||
\(356\) | 62.9231 | − | 28.7360i | 0.176750 | − | 0.0807192i | ||||
\(357\) | −1051.19 | + | 480.061i | −2.94450 | + | 1.34471i | ||||
\(358\) | 433.949 | − | 62.3924i | 1.21215 | − | 0.174281i | ||||
\(359\) | 54.3611 | − | 84.5876i | 0.151424 | − | 0.235620i | −0.757252 | − | 0.653123i | \(-0.773458\pi\) |
0.908675 | + | 0.417503i | \(0.137095\pi\) | |||||||
\(360\) | −4.32952 | + | 0.993364i | −0.0120265 | + | 0.00275935i | ||||
\(361\) | −47.5980 | + | 331.051i | −0.131850 | + | 0.917039i | ||||
\(362\) | −91.7689 | + | 105.907i | −0.253505 | + | 0.292561i | ||||
\(363\) | −111.493 | − | 173.487i | −0.307144 | − | 0.477925i | ||||
\(364\) | 456.870 | − | 395.881i | 1.25514 | − | 1.08758i | ||||
\(365\) | −309.953 | − | 111.621i | −0.849187 | − | 0.305810i | ||||
\(366\) | −2.00955 | − | 0.917733i | −0.00549058 | − | 0.00250747i | ||||
\(367\) | 20.7634 | 0.0565760 | 0.0282880 | − | 0.999600i | \(-0.490994\pi\) | ||||
0.0282880 | + | 0.999600i | \(0.490994\pi\) | |||||||
\(368\) | −88.8180 | + | 23.9866i | −0.241353 | + | 0.0651809i | ||||
\(369\) | −6.54769 | −0.0177444 | ||||||||
\(370\) | 102.255 | − | 192.421i | 0.276366 | − | 0.520057i | ||||
\(371\) | 695.947 | + | 204.348i | 1.87587 | + | 0.550804i | ||||
\(372\) | −67.5857 | + | 58.5633i | −0.181682 | + | 0.157428i | ||||
\(373\) | −560.320 | + | 360.096i | −1.50220 | + | 0.965405i | −0.507602 | + | 0.861592i | \(0.669468\pi\) |
−0.994597 | + | 0.103813i | \(0.966896\pi\) | |||||||
\(374\) | 185.501 | − | 214.079i | 0.495992 | − | 0.572405i | ||||
\(375\) | 121.085 | − | 361.761i | 0.322894 | − | 0.964697i | ||||
\(376\) | −128.162 | + | 37.6318i | −0.340857 | + | 0.100085i | ||||
\(377\) | 327.241 | − | 509.197i | 0.868013 | − | 1.35065i | ||||
\(378\) | −73.7216 | − | 512.745i | −0.195031 | − | 1.35647i | ||||
\(379\) | 260.126 | − | 118.796i | 0.686348 | − | 0.313445i | −0.0415435 | − | 0.999137i | \(-0.513228\pi\) |
0.727892 | + | 0.685692i | \(0.240500\pi\) | |||||||
\(380\) | 18.5510 | + | 48.0659i | 0.0488185 | + | 0.126489i | ||||
\(381\) | 72.6620 | + | 505.376i | 0.190714 | + | 1.32644i | ||||
\(382\) | 96.5590 | + | 62.0547i | 0.252772 | + | 0.162447i | ||||
\(383\) | −587.003 | + | 172.360i | −1.53264 | + | 0.450025i | −0.935858 | − | 0.352376i | \(-0.885374\pi\) |
−0.596785 | + | 0.802401i | \(0.703556\pi\) | |||||||
\(384\) | −4.91389 | + | 34.1769i | −0.0127966 | + | 0.0890023i | ||||
\(385\) | 353.023 | − | 361.119i | 0.916942 | − | 0.937972i | ||||
\(386\) | 173.335 | − | 111.396i | 0.449055 | − | 0.288590i | ||||
\(387\) | 1.28588 | + | 1.48399i | 0.00332269 | + | 0.00383459i | ||||
\(388\) | −115.328 | − | 33.8634i | −0.297238 | − | 0.0872769i | ||||
\(389\) | 102.562 | + | 46.8385i | 0.263656 | + | 0.120408i | 0.542857 | − | 0.839825i | \(-0.317342\pi\) |
−0.279201 | + | 0.960233i | \(0.590070\pi\) | |||||||
\(390\) | 471.208 | + | 28.3363i | 1.20822 | + | 0.0726572i | ||||
\(391\) | −600.721 | − | 190.725i | −1.53637 | − | 0.487787i | ||||
\(392\) | 401.457i | 1.02412i | ||||||||
\(393\) | 394.961 | + | 180.372i | 1.00499 | + | 0.458963i | ||||
\(394\) | −308.680 | − | 90.6368i | −0.783453 | − | 0.230043i | ||||
\(395\) | 345.594 | + | 450.912i | 0.874921 | + | 1.14155i | ||||
\(396\) | −2.48249 | − | 3.86283i | −0.00626891 | − | 0.00975461i | ||||
\(397\) | −243.462 | − | 210.961i | −0.613253 | − | 0.531387i | 0.291913 | − | 0.956445i | \(-0.405708\pi\) |
−0.905166 | + | 0.425058i | \(0.860254\pi\) | |||||||
\(398\) | 7.98926 | − | 55.5665i | 0.0200735 | − | 0.139614i | ||||
\(399\) | 208.471 | − | 61.2126i | 0.522483 | − | 0.153415i | ||||
\(400\) | −77.0402 | − | 63.7558i | −0.192600 | − | 0.159390i | ||||
\(401\) | −8.62475 | + | 1.24005i | −0.0215081 | + | 0.00309240i | −0.153060 | − | 0.988217i | \(-0.548913\pi\) |
0.131552 | + | 0.991309i | \(0.458004\pi\) | |||||||
\(402\) | −97.9015 | − | 214.374i | −0.243536 | − | 0.533270i | ||||
\(403\) | 291.530 | − | 133.137i | 0.723399 | − | 0.330365i | ||||
\(404\) | −11.3307 | − | 78.8070i | −0.0280464 | − | 0.195067i | ||||
\(405\) | 247.067 | − | 337.962i | 0.610042 | − | 0.834474i | ||||
\(406\) | 152.340 | + | 518.823i | 0.375222 | + | 1.27789i | ||||
\(407\) | 222.956 | + | 32.0562i | 0.547804 | + | 0.0787623i | ||||
\(408\) | −154.904 | + | 178.769i | −0.379667 | + | 0.438160i | ||||
\(409\) | −335.203 | + | 215.422i | −0.819568 | + | 0.526704i | −0.881947 | − | 0.471348i | \(-0.843767\pi\) |
0.0623795 | + | 0.998053i | \(0.480131\pi\) | |||||||
\(410\) | −89.6677 | − | 116.994i | −0.218702 | − | 0.285350i | ||||
\(411\) | −109.573 | + | 373.173i | −0.266602 | + | 0.907963i | ||||
\(412\) | 125.964 | − | 275.823i | 0.305738 | − | 0.669473i | ||||
\(413\) | 542.633 | 1.31388 | ||||||||
\(414\) | −5.70981 | + | 8.47218i | −0.0137918 | + | 0.0204642i | ||||
\(415\) | −22.3250 | + | 371.246i | −0.0537953 | + | 0.894568i | ||||
\(416\) | 51.4041 | − | 112.559i | 0.123568 | − | 0.270575i | ||||
\(417\) | 153.965 | − | 524.357i | 0.369221 | − | 1.25745i | ||||
\(418\) | −40.2499 | + | 34.8767i | −0.0962916 | + | 0.0834371i | ||||
\(419\) | 0.253293 | + | 0.394132i | 0.000604519 | + | 0.000940650i | 0.841556 | − | 0.540170i | \(-0.181640\pi\) |
−0.840951 | + | 0.541111i | \(0.818004\pi\) | |||||||
\(420\) | −294.795 | + | 301.556i | −0.701893 | + | 0.717990i | ||||
\(421\) | 277.913 | + | 39.9578i | 0.660125 | + | 0.0949117i | 0.464232 | − | 0.885714i | \(-0.346330\pi\) |
0.195893 | + | 0.980625i | \(0.437239\pi\) | |||||||
\(422\) | 122.566 | + | 417.422i | 0.290441 | + | 0.989153i | ||||
\(423\) | −8.01950 | + | 12.4786i | −0.0189586 | + | 0.0295002i | ||||
\(424\) | 146.957 | − | 21.1293i | 0.346598 | − | 0.0498332i | ||||
\(425\) | −207.861 | − | 652.782i | −0.489086 | − | 1.53596i | ||||
\(426\) | 72.2001 | + | 158.096i | 0.169484 | + | 0.371118i | ||||
\(427\) | −7.00083 | + | 1.00657i | −0.0163954 | + | 0.00235730i | ||||
\(428\) | −7.52604 | − | 4.83669i | −0.0175842 | − | 0.0113007i | ||||
\(429\) | 137.477 | + | 468.205i | 0.320460 | + | 1.09139i | ||||
\(430\) | −8.90617 | + | 43.2986i | −0.0207120 | + | 0.100694i | ||||
\(431\) | −102.307 | − | 88.6492i | −0.237370 | − | 0.205683i | 0.528050 | − | 0.849213i | \(-0.322923\pi\) |
−0.765420 | + | 0.643531i | \(0.777469\pi\) | |||||||
\(432\) | −57.3263 | − | 89.2015i | −0.132700 | − | 0.206485i | ||||
\(433\) | −436.092 | − | 503.277i | −1.00714 | − | 1.16230i | −0.986707 | − | 0.162511i | \(-0.948041\pi\) |
−0.0204334 | − | 0.999791i | \(-0.506505\pi\) | |||||||
\(434\) | −80.6627 | + | 274.712i | −0.185859 | + | 0.632977i | ||||
\(435\) | −198.143 | + | 372.860i | −0.455502 | + | 0.857150i | ||||
\(436\) | − | 206.158i | − | 0.472840i | ||||||
\(437\) | 106.691 | + | 51.5674i | 0.244144 | + | 0.118003i | ||||
\(438\) | 284.374i | 0.649257i | ||||||||
\(439\) | −325.544 | + | 712.843i | −0.741559 | + | 1.62379i | 0.0394140 | + | 0.999223i | \(0.487451\pi\) |
−0.780973 | + | 0.624565i | \(0.785276\pi\) | |||||||
\(440\) | 35.0241 | − | 97.2566i | 0.0796002 | − | 0.221038i | ||||
\(441\) | 29.1950 | + | 33.6928i | 0.0662018 | + | 0.0764009i | ||||
\(442\) | 713.152 | − | 458.315i | 1.61347 | − | 1.03691i | ||||
\(443\) | −418.159 | − | 362.337i | −0.943926 | − | 0.817917i | 0.0395009 | − | 0.999220i | \(-0.487423\pi\) |
−0.983427 | + | 0.181303i | \(0.941969\pi\) | |||||||
\(444\) | −186.182 | − | 26.7689i | −0.419328 | − | 0.0602902i | ||||
\(445\) | 168.556 | − | 38.6734i | 0.378777 | − | 0.0869066i | ||||
\(446\) | 66.7848 | + | 42.9200i | 0.149742 | + | 0.0962331i | ||||
\(447\) | 23.8679 | + | 166.005i | 0.0533958 | + | 0.371376i | ||||
\(448\) | 45.9216 | + | 100.554i | 0.102503 | + | 0.224451i | ||||
\(449\) | 197.656 | + | 432.806i | 0.440214 | + | 0.963934i | 0.991559 | + | 0.129657i | \(0.0413875\pi\) |
−0.551345 | + | 0.834277i | \(0.685885\pi\) | |||||||
\(450\) | −11.1022 | + | 0.251768i | −0.0246715 | + | 0.000559484i | ||||
\(451\) | 82.3786 | − | 128.184i | 0.182658 | − | 0.284221i | ||||
\(452\) | 134.108 | − | 39.3778i | 0.296700 | − | 0.0871190i | ||||
\(453\) | −313.311 | − | 45.0474i | −0.691637 | − | 0.0994423i | ||||
\(454\) | 105.762 | + | 91.6435i | 0.232956 | + | 0.201858i | ||||
\(455\) | 1318.15 | − | 739.287i | 2.89704 | − | 1.62481i | ||||
\(456\) | 33.6110 | − | 29.1241i | 0.0737084 | − | 0.0638687i | ||||
\(457\) | 631.003 | + | 185.279i | 1.38075 | + | 0.405425i | 0.886031 | − | 0.463627i | \(-0.153452\pi\) |
0.494721 | + | 0.869052i | \(0.335270\pi\) | |||||||
\(458\) | −133.583 | + | 292.506i | −0.291666 | + | 0.638659i | ||||
\(459\) | − | 726.415i | − | 1.58260i | ||||||
\(460\) | −229.573 | + | 14.0003i | −0.499073 | + | 0.0304355i | ||||
\(461\) | −750.254 | −1.62745 | −0.813724 | − | 0.581251i | \(-0.802563\pi\) | ||||
−0.813724 | + | 0.581251i | \(0.802563\pi\) | |||||||
\(462\) | −396.532 | − | 181.090i | −0.858295 | − | 0.391970i | ||||
\(463\) | 234.638 | − | 799.104i | 0.506778 | − | 1.72593i | −0.166041 | − | 0.986119i | \(-0.553098\pi\) |
0.672819 | − | 0.739807i | \(-0.265083\pi\) | |||||||
\(464\) | 72.4814 | + | 83.6480i | 0.156210 | + | 0.180276i | ||||
\(465\) | −194.997 | + | 109.364i | −0.419348 | + | 0.235192i | ||||
\(466\) | −27.9993 | + | 32.3129i | −0.0600844 | + | 0.0693410i | ||||
\(467\) | 49.4429 | − | 343.883i | 0.105873 | − | 0.736366i | −0.865860 | − | 0.500286i | \(-0.833228\pi\) |
0.971734 | − | 0.236080i | \(-0.0758627\pi\) | |||||||
\(468\) | −3.87145 | − | 13.1849i | −0.00827232 | − | 0.0281729i | ||||
\(469\) | −634.736 | − | 407.920i | −1.35338 | − | 0.869765i | ||||
\(470\) | −332.790 | + | 27.5969i | −0.708063 | + | 0.0587167i | ||||
\(471\) | −152.391 | + | 69.5947i | −0.323548 | + | 0.147759i | ||||
\(472\) | 101.035 | − | 46.1412i | 0.214057 | − | 0.0977567i | ||||
\(473\) | −45.2300 | + | 6.50309i | −0.0956236 | + | 0.0137486i | ||||
\(474\) | 265.132 | − | 412.553i | 0.559350 | − | 0.870366i | ||||
\(475\) | 21.2164 | + | 127.044i | 0.0446662 | + | 0.267462i | ||||
\(476\) | −107.776 | + | 749.601i | −0.226421 | + | 1.57479i | ||||
\(477\) | 10.7970 | − | 12.4604i | 0.0226353 | − | 0.0261225i | ||||
\(478\) | 135.786 | + | 211.287i | 0.284072 | + | 0.442024i | ||||
\(479\) | 384.732 | − | 333.373i | 0.803199 | − | 0.695976i | −0.153150 | − | 0.988203i | \(-0.548942\pi\) |
0.956349 | + | 0.292227i | \(0.0943962\pi\) | |||||||
\(480\) | −29.2472 | + | 81.2150i | −0.0609317 | + | 0.169198i | ||||
\(481\) | 613.177 | + | 280.029i | 1.27480 | + | 0.582180i | ||||
\(482\) | 346.592 | 0.719070 | ||||||||
\(483\) | −21.1699 | + | 969.704i | −0.0438300 | + | 2.00767i | ||||
\(484\) | −135.145 | −0.279225 | ||||||||
\(485\) | −265.352 | − | 141.012i | −0.547117 | − | 0.290746i | ||||
\(486\) | −23.0049 | − | 6.75484i | −0.0473351 | − | 0.0138988i | ||||
\(487\) | −11.8865 | + | 10.2997i | −0.0244076 | + | 0.0211493i | −0.666979 | − | 0.745076i | \(-0.732413\pi\) |
0.642572 | + | 0.766226i | \(0.277868\pi\) | |||||||
\(488\) | −1.21792 | + | 0.782713i | −0.00249575 | + | 0.00160392i | ||||
\(489\) | 238.444 | − | 275.179i | 0.487616 | − | 0.562739i | ||||
\(490\) | −202.208 | + | 983.061i | −0.412669 | + | 2.00625i | ||||
\(491\) | −649.095 | + | 190.591i | −1.32199 | + | 0.388170i | −0.865209 | − | 0.501411i | \(-0.832814\pi\) |
−0.456777 | + | 0.889581i | \(0.650996\pi\) | |||||||
\(492\) | −68.7911 | + | 107.041i | −0.139819 | + | 0.217563i | ||||
\(493\) | 107.911 | + | 750.540i | 0.218887 | + | 1.52239i | ||||
\(494\) | −144.981 | + | 66.2105i | −0.293483 | + | 0.134029i | ||||
\(495\) | −4.13330 | − | 10.7094i | −0.00835011 | − | 0.0216352i | ||||
\(496\) | 8.34039 | + | 58.0087i | 0.0168153 | + | 0.116953i | ||||
\(497\) | 468.103 | + | 300.832i | 0.941858 | + | 0.605295i | ||||
\(498\) | 308.037 | − | 90.4478i | 0.618548 | − | 0.181622i | ||||
\(499\) | 56.7810 | − | 394.921i | 0.113790 | − | 0.791424i | −0.850386 | − | 0.526159i | \(-0.823631\pi\) |
0.964176 | − | 0.265265i | \(-0.0854594\pi\) | |||||||
\(500\) | −156.538 | − | 194.925i | −0.313076 | − | 0.389850i | ||||
\(501\) | 622.279 | − | 399.914i | 1.24207 | − | 0.798232i | ||||
\(502\) | −106.287 | − | 122.661i | −0.211726 | − | 0.244345i | ||||
\(503\) | 271.836 | + | 79.8181i | 0.540428 | + | 0.158684i | 0.540544 | − | 0.841316i | \(-0.318219\pi\) |
−0.000115315 | 1.00000i | \(0.500037\pi\) | ||||||||
\(504\) | 11.1666 | + | 5.09961i | 0.0221559 | + | 0.0101183i | ||||
\(505\) | 11.9480 | − | 198.685i | 0.0236594 | − | 0.393435i | ||||
\(506\) | −94.0223 | − | 218.372i | −0.185815 | − | 0.431565i | ||||
\(507\) | 944.562i | 1.86304i | ||||||||
\(508\) | 304.357 | + | 138.995i | 0.599127 | + | 0.273612i | ||||
\(509\) | 89.6263 | + | 26.3167i | 0.176083 | + | 0.0517027i | 0.368586 | − | 0.929594i | \(-0.379842\pi\) |
−0.192502 | + | 0.981296i | \(0.561660\pi\) | |||||||
\(510\) | −469.363 | + | 359.735i | −0.920320 | + | 0.705363i | ||||
\(511\) | 492.219 | + | 765.908i | 0.963247 | + | 1.49884i | ||||
\(512\) | 17.1007 | + | 14.8178i | 0.0333997 | + | 0.0289410i | ||||
\(513\) | −19.4368 | + | 135.186i | −0.0378885 | + | 0.263520i | ||||
\(514\) | 576.130 | − | 169.167i | 1.12087 | − | 0.329119i | ||||
\(515\) | 447.381 | − | 611.971i | 0.868701 | − | 1.18829i | ||||
\(516\) | 37.7697 | − | 5.43047i | 0.0731972 | − | 0.0105242i | ||||
\(517\) | −143.396 | − | 313.994i | −0.277362 | − | 0.607339i | ||||
\(518\) | −547.778 | + | 250.162i | −1.05749 | + | 0.482938i | ||||
\(519\) | −123.070 | − | 855.971i | −0.237129 | − | 1.64927i | ||||
\(520\) | 182.570 | − | 249.736i | 0.351095 | − | 0.480262i | ||||
\(521\) | 165.366 | + | 563.186i | 0.317402 | + | 1.08097i | 0.951482 | + | 0.307704i | \(0.0995606\pi\) |
−0.634081 | + | 0.773267i | \(0.718621\pi\) | |||||||
\(522\) | 12.1662 | + | 1.74924i | 0.0233069 | + | 0.00335103i | ||||
\(523\) | −2.36143 | + | 2.72524i | −0.00451516 | + | 0.00521078i | −0.758003 | − | 0.652251i | \(-0.773825\pi\) |
0.753488 | + | 0.657462i | \(0.228370\pi\) | |||||||
\(524\) | 239.373 | − | 153.835i | 0.456818 | − | 0.293579i | ||||
\(525\) | −873.764 | + | 589.946i | −1.66431 | + | 1.12371i | ||||
\(526\) | −29.5972 | + | 100.799i | −0.0562684 | + | 0.191633i | ||||
\(527\) | −166.785 | + | 365.209i | −0.316481 | + | 0.692996i | ||||
\(528\) | −89.2305 | −0.168997 | ||||||||
\(529\) | −363.539 | + | 384.292i | −0.687219 | + | 0.726450i | ||||
\(530\) | 370.502 | + | 22.2803i | 0.699061 | + | 0.0420384i | ||||
\(531\) | 5.12400 | − | 11.2200i | 0.00964972 | − | 0.0211299i | ||||
\(532\) | 40.1144 | − | 136.617i | 0.0754030 | − | 0.256799i | ||||
\(533\) | 344.621 | − | 298.616i | 0.646568 | − | 0.560255i | ||||
\(534\) | −80.7065 | − | 125.582i | −0.151136 | − | 0.235172i | ||||
\(535\) | −15.9931 | − | 15.6345i | −0.0298937 | − | 0.0292234i | ||||
\(536\) | −152.870 | − | 21.9795i | −0.285206 | − | 0.0410064i | ||||
\(537\) | −266.547 | − | 907.776i | −0.496364 | − | 1.69046i | ||||
\(538\) | 84.1304 | − | 130.909i | 0.156376 | − | 0.243326i | ||||
\(539\) | −1026.91 | + | 147.648i | −1.90522 | + | 0.273929i | ||||
\(540\) | −95.4474 | − | 247.305i | −0.176755 | − | 0.457973i | ||||
\(541\) | −153.521 | − | 336.165i | −0.283773 | − | 0.621377i | 0.713042 | − | 0.701121i | \(-0.247317\pi\) |
−0.996815 | + | 0.0797445i | \(0.974590\pi\) | |||||||
\(542\) | 163.814 | − | 23.5529i | 0.302240 | − | 0.0434555i | ||||
\(543\) | 254.407 | + | 163.497i | 0.468521 | + | 0.301100i | ||||
\(544\) | 43.6728 | + | 148.736i | 0.0802809 | + | 0.273412i | ||||
\(545\) | 103.839 | − | 504.827i | 0.190530 | − | 0.926289i | ||||
\(546\) | −985.935 | − | 854.318i | −1.80574 | − | 1.56468i | ||||
\(547\) | −390.914 | − | 608.275i | −0.714652 | − | 1.11202i | −0.988642 | − | 0.150287i | \(-0.951980\pi\) |
0.273991 | − | 0.961732i | \(-0.411656\pi\) | |||||||
\(548\) | 166.908 | + | 192.622i | 0.304576 | + | 0.351500i | ||||
\(549\) | −0.0452951 | + | 0.154261i | −8.25047e−5 | + | 0.000280985i | ||||
\(550\) | 134.751 | − | 220.514i | 0.245003 | − | 0.400935i | ||||
\(551\) | − | 142.563i | − | 0.258735i | ||||||
\(552\) | 78.5142 | + | 182.353i | 0.142236 | + | 0.330350i | ||||
\(553\) | − | 1570.05i | − | 2.83914i | ||||||
\(554\) | −191.994 | + | 420.409i | −0.346560 | + | 0.758860i | ||||
\(555\) | −442.426 | − | 159.327i | −0.797164 | − | 0.287075i | ||||
\(556\) | −234.527 | − | 270.659i | −0.421812 | − | 0.486797i | ||||
\(557\) | −294.282 | + | 189.123i | −0.528333 | + | 0.339539i | −0.777461 | − | 0.628931i | \(-0.783493\pi\) |
0.249127 | + | 0.968471i | \(0.419856\pi\) | |||||||
\(558\) | 4.91852 | + | 4.26192i | 0.00881455 | + | 0.00763785i | ||||
\(559\) | −135.358 | − | 19.4616i | −0.242143 | − | 0.0348150i | ||||
\(560\) | 61.8020 | + | 269.361i | 0.110361 | + | 0.481001i | ||||
\(561\) | −514.256 | − | 330.492i | −0.916677 | − | 0.589113i | ||||
\(562\) | 26.3092 | + | 182.985i | 0.0468135 | + | 0.325595i | ||||
\(563\) | 91.7371 | + | 200.876i | 0.162943 | + | 0.356796i | 0.973438 | − | 0.228949i | \(-0.0735291\pi\) |
−0.810495 | + | 0.585746i | \(0.800802\pi\) | |||||||
\(564\) | 119.745 | + | 262.204i | 0.212313 | + | 0.464901i | ||||
\(565\) | 348.230 | − | 28.8773i | 0.616336 | − | 0.0511102i | ||||
\(566\) | 92.6018 | − | 144.091i | 0.163607 | − | 0.254578i | ||||
\(567\) | −1110.09 | + | 325.952i | −1.95783 | + | 0.574871i | ||||
\(568\) | 112.739 | + | 16.2093i | 0.198483 | + | 0.0285376i | ||||
\(569\) | −221.952 | − | 192.322i | −0.390074 | − | 0.338001i | 0.437641 | − | 0.899150i | \(-0.355814\pi\) |
−0.827715 | + | 0.561149i | \(0.810359\pi\) | |||||||
\(570\) | 96.9739 | − | 54.3879i | 0.170130 | − | 0.0954173i | ||||
\(571\) | 285.616 | − | 247.488i | 0.500204 | − | 0.433429i | −0.367860 | − | 0.929881i | \(-0.619910\pi\) |
0.868064 | + | 0.496452i | \(0.165364\pi\) | |||||||
\(572\) | 306.828 | + | 90.0929i | 0.536413 | + | 0.157505i | ||||
\(573\) | 102.897 | − | 225.313i | 0.179576 | − | 0.393217i | ||||
\(574\) | 407.364i | 0.709693i | ||||||||
\(575\) | −569.216 | − | 81.3498i | −0.989941 | − | 0.141478i | ||||
\(576\) | 2.51279 | 0.00436247 | ||||||||
\(577\) | 731.828 | + | 334.214i | 1.26833 | + | 0.579228i | 0.931980 | − | 0.362509i | \(-0.118080\pi\) |
0.336352 | + | 0.941736i | \(0.390807\pi\) | |||||||
\(578\) | −184.046 | + | 626.803i | −0.318419 | + | 1.08443i | ||||
\(579\) | −291.182 | − | 336.042i | −0.502905 | − | 0.580383i | ||||
\(580\) | 135.355 | + | 241.340i | 0.233371 | + | 0.416103i | ||||
\(581\) | 673.083 | − | 776.780i | 1.15849 | − | 1.33697i | ||||
\(582\) | −36.9147 | + | 256.748i | −0.0634274 | + | 0.441147i | ||||
\(583\) | 108.096 | + | 368.141i | 0.185413 | + | 0.631460i | ||||
\(584\) | 156.775 | + | 100.753i | 0.268451 | + | 0.172523i | ||||
\(585\) | −2.83908 | − | 34.2364i | −0.00485313 | − | 0.0585238i | ||||
\(586\) | −437.846 | + | 199.958i | −0.747177 | + | 0.341224i | ||||
\(587\) | −444.801 | + | 203.134i | −0.757753 | + | 0.346054i | −0.756542 | − | 0.653945i | \(-0.773113\pi\) |
−0.00121071 | + | 0.999999i | \(0.500385\pi\) | |||||||
\(588\) | 857.534 | − | 123.295i | 1.45839 | − | 0.209685i | ||||
\(589\) | 40.8107 | − | 63.5026i | 0.0692881 | − | 0.107814i | ||||
\(590\) | 270.649 | − | 62.0976i | 0.458727 | − | 0.105250i | ||||
\(591\) | −98.8036 | + | 687.194i | −0.167180 | + | 1.16277i | ||||
\(592\) | −80.7213 | + | 93.1574i | −0.136354 | + | 0.157360i | ||||
\(593\) | −299.953 | − | 466.737i | −0.505824 | − | 0.787077i | 0.490617 | − | 0.871375i | \(-0.336771\pi\) |
−0.996441 | + | 0.0842985i | \(0.973135\pi\) | |||||||
\(594\) | 207.091 | − | 179.445i | 0.348638 | − | 0.302097i | ||||
\(595\) | −641.479 | + | 1781.29i | −1.07812 | + | 2.99376i | ||||
\(596\) | 99.9746 | + | 45.6569i | 0.167743 | + | 0.0766055i | ||||
\(597\) | −121.147 | −0.202926 | ||||||||
\(598\) | −85.8634 | − | 706.314i | −0.143584 | − | 1.18113i | ||||
\(599\) | −950.836 | −1.58737 | −0.793686 | − | 0.608327i | \(-0.791841\pi\) | ||||
−0.793686 | + | 0.608327i | \(0.791841\pi\) | |||||||
\(600\) | −112.525 | + | 184.143i | −0.187542 | + | 0.306904i | ||||
\(601\) | 218.910 | + | 64.2779i | 0.364244 | + | 0.106952i | 0.458733 | − | 0.888574i | \(-0.348304\pi\) |
−0.0944890 | + | 0.995526i | \(0.530122\pi\) | |||||||
\(602\) | 92.3260 | − | 80.0009i | 0.153365 | − | 0.132892i | ||||
\(603\) | −14.4283 | + | 9.27248i | −0.0239275 | + | 0.0153773i | ||||
\(604\) | −135.840 | + | 156.768i | −0.224901 | + | 0.259549i | ||||
\(605\) | −330.934 | − | 68.0705i | −0.546998 | − | 0.112513i | ||||
\(606\) | −164.856 | + | 48.4061i | −0.272040 | + | 0.0798781i | ||||
\(607\) | 235.769 | − | 366.864i | 0.388417 | − | 0.604389i | −0.590894 | − | 0.806749i | \(-0.701225\pi\) |
0.979311 | + | 0.202360i | \(0.0648613\pi\) | |||||||
\(608\) | −4.14776 | − | 28.8483i | −0.00682198 | − | 0.0474479i | ||||
\(609\) | 1061.45 | − | 484.747i | 1.74293 | − | 0.795971i | ||||
\(610\) | −3.37662 | + | 1.30320i | −0.00553544 | + | 0.00213640i | ||||
\(611\) | −147.016 | − | 1022.52i | −0.240615 | − | 1.67351i | ||||
\(612\) | 14.4818 | + | 9.30687i | 0.0236630 | + | 0.0152073i | ||||
\(613\) | 611.012 | − | 179.409i | 0.996757 | − | 0.292674i | 0.257632 | − | 0.966243i | \(-0.417058\pi\) |
0.739124 | + | 0.673569i | \(0.235240\pi\) | |||||||
\(614\) | 29.8212 | − | 207.411i | 0.0485688 | − | 0.337803i | ||||
\(615\) | −222.366 | + | 227.466i | −0.361571 | + | 0.369863i | ||||
\(616\) | −240.325 | + | 154.448i | −0.390138 | + | 0.250727i | ||||
\(617\) | 571.735 | + | 659.817i | 0.926637 | + | 1.06940i | 0.997412 | + | 0.0719038i | \(0.0229075\pi\) |
−0.0707746 | + | 0.997492i | \(0.522547\pi\) | |||||||
\(618\) | −627.859 | − | 184.356i | −1.01595 | − | 0.298311i | ||||
\(619\) | 321.208 | + | 146.691i | 0.518915 | + | 0.236980i | 0.657615 | − | 0.753354i | \(-0.271565\pi\) |
−0.138700 | + | 0.990334i | \(0.544293\pi\) | |||||||
\(620\) | −8.79474 | + | 146.249i | −0.0141851 | + | 0.235885i | ||||
\(621\) | −548.939 | − | 265.321i | −0.883959 | − | 0.427248i | ||||
\(622\) | 174.024i | 0.279781i | ||||||||
\(623\) | −434.735 | − | 198.537i | −0.697809 | − | 0.318679i | ||||
\(624\) | −256.220 | − | 75.2330i | −0.410609 | − | 0.120566i | ||||
\(625\) | −285.139 | − | 556.166i | −0.456223 | − | 0.889866i | ||||
\(626\) | −335.667 | − | 522.307i | −0.536209 | − | 0.834357i | ||||
\(627\) | 86.8600 | + | 75.2646i | 0.138533 | + | 0.120039i | ||||
\(628\) | −15.6244 | + | 108.670i | −0.0248796 | + | 0.173042i | ||||
\(629\) | −810.253 | + | 237.912i | −1.28816 | + | 0.378238i | ||||
\(630\) | 24.7754 | + | 18.1120i | 0.0393261 | + | 0.0287493i | ||||
\(631\) | 159.051 | − | 22.8681i | 0.252062 | − | 0.0362411i | −0.0151254 | − | 0.999886i | \(-0.504815\pi\) |
0.267188 | + | 0.963645i | \(0.413906\pi\) | |||||||
\(632\) | −133.504 | − | 292.334i | −0.211241 | − | 0.462553i | ||||
\(633\) | 853.995 | − | 390.006i | 1.34912 | − | 0.616124i | ||||
\(634\) | 1.58779 | + | 11.0433i | 0.00250441 | + | 0.0174185i | ||||
\(635\) | 675.279 | + | 493.662i | 1.06343 | + | 0.777420i | ||||
\(636\) | −90.2666 | − | 307.420i | −0.141929 | − | 0.483365i | ||||
\(637\) | −3073.20 | − | 441.860i | −4.82450 | − | 0.693658i | ||||
\(638\) | −187.312 | + | 216.169i | −0.293592 | + | 0.338823i | ||||
\(639\) | 10.6405 | − | 6.83825i | 0.0166518 | − | 0.0107015i | ||||
\(640\) | 34.4115 | + | 44.8982i | 0.0537679 | + | 0.0701535i | ||||
\(641\) | 230.870 | − | 786.271i | 0.360172 | − | 1.22663i | −0.557797 | − | 0.829978i | \(-0.688353\pi\) |
0.917968 | − | 0.396654i | \(-0.129829\pi\) | |||||||
\(642\) | −8.02005 | + | 17.5615i | −0.0124923 | + | 0.0273543i | ||||
\(643\) | −1034.84 | −1.60940 | −0.804698 | − | 0.593684i | \(-0.797673\pi\) | ||||
−0.804698 | + | 0.593684i | \(0.797673\pi\) | |||||||
\(644\) | 527.095 | + | 355.235i | 0.818471 | + | 0.551607i | ||||
\(645\) | 95.2233 | + | 5.72630i | 0.147633 | + | 0.00887798i | ||||
\(646\) | 82.9440 | − | 181.622i | 0.128396 | − | 0.281149i | ||||
\(647\) | −49.3740 | + | 168.152i | −0.0763123 | + | 0.259896i | −0.988809 | − | 0.149189i | \(-0.952334\pi\) |
0.912496 | + | 0.409085i | \(0.134152\pi\) | |||||||
\(648\) | −178.976 | + | 155.084i | −0.276198 | + | 0.239327i | ||||
\(649\) | 155.186 | + | 241.475i | 0.239116 | + | 0.372072i | ||||
\(650\) | 572.853 | − | 519.580i | 0.881312 | − | 0.799355i | ||||
\(651\) | 611.572 | + | 87.9308i | 0.939435 | + | 0.135070i | ||||
\(652\) | −67.2256 | − | 228.949i | −0.103107 | − | 0.351149i | ||||
\(653\) | 194.463 | − | 302.590i | 0.297799 | − | 0.463385i | −0.659819 | − | 0.751424i | \(-0.729367\pi\) |
0.957618 | + | 0.288040i | \(0.0930035\pi\) | |||||||
\(654\) | −440.366 | + | 63.3150i | −0.673342 | + | 0.0968119i | ||||
\(655\) | 663.645 | − | 256.134i | 1.01320 | − | 0.391044i | ||||
\(656\) | 34.6390 | + | 75.8488i | 0.0528033 | + | 0.115623i | ||||
\(657\) | 20.4846 | − | 2.94524i | 0.0311790 | − | 0.00448286i | ||||
\(658\) | 776.353 | + | 498.932i | 1.17987 | + | 0.758255i | ||||
\(659\) | −22.6841 | − | 77.2550i | −0.0344220 | − | 0.117231i | 0.940490 | − | 0.339822i | \(-0.110367\pi\) |
−0.974912 | + | 0.222591i | \(0.928549\pi\) | |||||||
\(660\) | −218.502 | − | 44.9441i | −0.331063 | − | 0.0680972i | ||||
\(661\) | 366.953 | + | 317.967i | 0.555149 | + | 0.481039i | 0.886666 | − | 0.462410i | \(-0.153015\pi\) |
−0.331518 | + | 0.943449i | \(0.607561\pi\) | |||||||
\(662\) | −117.954 | − | 183.541i | −0.178179 | − | 0.277252i | ||||
\(663\) | −1198.01 | − | 1382.57i | −1.80695 | − | 2.08533i | ||||
\(664\) | 59.2731 | − | 201.866i | 0.0892667 | − | 0.304014i | ||||
\(665\) | 167.042 | − | 314.334i | 0.251190 | − | 0.472682i | ||||
\(666\) | 13.6886i | 0.0205535i | ||||||||
\(667\) | 606.584 | + | 192.586i | 0.909422 | + | 0.288735i | ||||
\(668\) | − | 484.750i | − | 0.725674i | ||||||
\(669\) | 71.1686 | − | 155.837i | 0.106380 | − | 0.232941i | ||||
\(670\) | −363.268 | − | 130.821i | −0.542192 | − | 0.195254i | ||||
\(671\) | −2.45008 | − | 2.82754i | −0.00365139 | − | 0.00421393i | ||||
\(672\) | 200.686 | − | 128.973i | 0.298640 | − | 0.191924i | ||||
\(673\) | 585.310 | + | 507.174i | 0.869702 | + | 0.753601i | 0.970448 | − | 0.241311i | \(-0.0775774\pi\) |
−0.100746 | + | 0.994912i | \(0.532123\pi\) | |||||||
\(674\) | −728.733 | − | 104.776i | −1.08121 | − | 0.155454i | ||||
\(675\) | −109.161 | − | 653.660i | −0.161721 | − | 0.968386i | ||||
\(676\) | 520.735 | + | 334.656i | 0.770318 | + | 0.495054i | ||||
\(677\) | 59.0479 | + | 410.687i | 0.0872199 | + | 0.606628i | 0.985813 | + | 0.167845i | \(0.0536809\pi\) |
−0.898593 | + | 0.438782i | \(0.855410\pi\) | |||||||
\(678\) | −125.300 | − | 274.369i | −0.184809 | − | 0.404674i | ||||
\(679\) | 344.977 | + | 755.395i | 0.508067 | + | 1.11251i | ||||
\(680\) | 32.0270 | + | 386.212i | 0.0470985 | + | 0.567959i | ||||
\(681\) | 163.274 | − | 254.059i | 0.239756 | − | 0.373068i | ||||
\(682\) | −145.317 | + | 42.6689i | −0.213075 | + | 0.0625643i | ||||
\(683\) | 23.1437 | + | 3.32756i | 0.0338854 | + | 0.00487198i | 0.159237 | − | 0.987240i | \(-0.449097\pi\) |
−0.125351 | + | 0.992112i | \(0.540006\pi\) | |||||||
\(684\) | −2.44603 | − | 2.11950i | −0.00357607 | − | 0.00309868i | ||||
\(685\) | 311.692 | + | 555.749i | 0.455025 | + | 0.811312i | ||||
\(686\) | 1372.53 | − | 1189.31i | 2.00078 | − | 1.73368i | ||||
\(687\) | 665.834 | + | 195.507i | 0.969191 | + | 0.284580i | ||||
\(688\) | 10.3879 | − | 22.7464i | 0.0150987 | − | 0.0330616i | ||||
\(689\) | 1148.23i | 1.66652i | ||||||||
\(690\) | 100.412 | + | 486.082i | 0.145524 | + | 0.704466i | ||||
\(691\) | 871.192 | 1.26077 | 0.630385 | − | 0.776282i | \(-0.282897\pi\) | ||||
0.630385 | + | 0.776282i | \(0.282897\pi\) | |||||||
\(692\) | −515.499 | − | 235.420i | −0.744940 | − | 0.340203i | ||||
\(693\) | −8.93778 | + | 30.4393i | −0.0128972 | + | 0.0439239i | ||||
\(694\) | −392.180 | − | 452.599i | −0.565100 | − | 0.652160i | ||||
\(695\) | −437.968 | − | 780.900i | −0.630170 | − | 1.12360i | ||||
\(696\) | 156.416 | − | 180.514i | 0.224736 | − | 0.259359i | ||||
\(697\) | −81.2966 | + | 565.430i | −0.116638 | + | 0.811234i | ||||
\(698\) | −59.6579 | − | 203.176i | −0.0854698 | − | 0.291083i | ||||
\(699\) | 77.6213 | + | 49.8842i | 0.111046 | + | 0.0713650i | ||||
\(700\) | 15.6637 | + | 690.721i | 0.0223767 | + | 0.986745i | ||||
\(701\) | −481.041 | + | 219.684i | −0.686221 | + | 0.313387i | −0.727840 | − | 0.685747i | \(-0.759476\pi\) |
0.0416191 | + | 0.999134i | \(0.486748\pi\) | |||||||
\(702\) | 745.945 | − | 340.662i | 1.06260 | − | 0.485273i | ||||
\(703\) | 157.154 | − | 22.5953i | 0.223547 | − | 0.0321413i | ||||
\(704\) | −31.6142 | + | 49.1926i | −0.0449065 | + | 0.0698759i | ||||
\(705\) | 161.154 | + | 702.381i | 0.228587 | + | 0.996286i | ||||
\(706\) | −96.7493 | + | 672.906i | −0.137039 | + | 0.953125i | ||||
\(707\) | −360.223 | + | 415.719i | −0.509509 | + | 0.588005i | ||||
\(708\) | −129.590 | − | 201.646i | −0.183036 | − | 0.284810i | ||||
\(709\) | −450.264 | + | 390.156i | −0.635069 | + | 0.550290i | −0.911788 | − | 0.410661i | \(-0.865298\pi\) |
0.276720 | + | 0.960951i | \(0.410753\pi\) | |||||||
\(710\) | 267.902 | + | 96.4772i | 0.377327 | + | 0.135883i | ||||
\(711\) | −32.4638 | − | 14.8257i | −0.0456593 | − | 0.0208519i | ||||
\(712\) | −97.8272 | −0.137398 | ||||||||
\(713\) | 215.064 | + | 259.428i | 0.301632 | + | 0.363854i | ||||
\(714\) | 1634.29 | 2.28892 | ||||||||
\(715\) | 705.963 | + | 375.159i | 0.987360 | + | 0.524698i | ||||
\(716\) | −594.892 | − | 174.676i | −0.830855 | − | 0.243961i | ||||
\(717\) | 409.619 | − | 354.937i | 0.571296 | − | 0.495031i | ||||
\(718\) | −119.625 | + | 76.8783i | −0.166609 | + | 0.107073i | ||||
\(719\) | −539.602 | + | 622.734i | −0.750490 | + | 0.866111i | −0.994616 | − | 0.103632i | \(-0.966954\pi\) |
0.244126 | + | 0.969744i | \(0.421499\pi\) | |||||||
\(720\) | 6.15314 | + | 1.26565i | 0.00854603 | + | 0.00175785i | ||||
\(721\) | −2010.12 | + | 590.223i | −2.78795 | + | 0.818617i | ||||
\(722\) | 255.718 | − | 397.906i | 0.354181 | − | 0.551116i | ||||
\(723\) | −106.445 | − | 740.339i | −0.147226 | − | 1.02398i | ||||
\(724\) | 180.272 | − | 82.3273i | 0.248994 | − | 0.113712i | ||||
\(725\) | 209.890 | + | 659.153i | 0.289504 | + | 0.909177i | ||||
\(726\) | 41.5054 | + | 288.677i | 0.0571700 | + | 0.397626i | ||||
\(727\) | 56.8643 | + | 36.5445i | 0.0782178 | + | 0.0502675i | 0.579165 | − | 0.815210i | \(-0.303379\pi\) |
−0.500947 | + | 0.865478i | \(0.667015\pi\) | |||||||
\(728\) | −820.299 | + | 240.861i | −1.12678 | + | 0.330854i | ||||
\(729\) | 99.8784 | − | 694.670i | 0.137007 | − | 0.952908i | ||||
\(730\) | 333.153 | + | 325.683i | 0.456373 | + | 0.446141i | ||||
\(731\) | 144.116 | − | 92.6178i | 0.197149 | − | 0.126700i | ||||
\(732\) | 2.04596 | + | 2.36117i | 0.00279503 | + | 0.00322564i | ||||
\(733\) | −196.684 | − | 57.7515i | −0.268327 | − | 0.0787879i | 0.144801 | − | 0.989461i | \(-0.453746\pi\) |
−0.413128 | + | 0.910673i | \(0.635564\pi\) | |||||||
\(734\) | −26.7103 | − | 12.1982i | −0.0363901 | − | 0.0166188i | ||||
\(735\) | 2161.97 | + | 130.011i | 2.94146 | + | 0.176886i | ||||
\(736\) | 128.349 | + | 21.3227i | 0.174387 | + | 0.0289710i | ||||
\(737\) | − | 399.121i | − | 0.541548i | ||||||
\(738\) | 8.42304 | + | 3.84668i | 0.0114133 | + | 0.00521230i | ||||
\(739\) | 1255.51 | + | 368.651i | 1.69893 | + | 0.498851i | 0.980462 | − | 0.196709i | \(-0.0630254\pi\) |
0.718468 | + | 0.695560i | \(0.244844\pi\) | |||||||
\(740\) | −244.587 | + | 187.460i | −0.330523 | + | 0.253324i | ||||
\(741\) | 185.955 | + | 289.352i | 0.250952 | + | 0.390489i | ||||
\(742\) | −775.224 | − | 671.735i | −1.04478 | − | 0.905303i | ||||
\(743\) | −146.732 | + | 1020.55i | −0.197486 | + | 1.37355i | 0.614060 | + | 0.789260i | \(0.289535\pi\) |
−0.811546 | + | 0.584288i | \(0.801374\pi\) | |||||||
\(744\) | 121.348 | − | 35.6311i | 0.163102 | − | 0.0478912i | ||||
\(745\) | 221.815 | + | 162.157i | 0.297738 | + | 0.217661i | ||||
\(746\) | 932.355 | − | 134.052i | 1.24981 | − | 0.179695i | ||||
\(747\) | −9.70562 | − | 21.2523i | −0.0129928 | − | 0.0284503i | ||||
\(748\) | −364.400 | + | 166.416i | −0.487165 | + | 0.222481i | ||||
\(749\) | 8.79639 | + | 61.1802i | 0.0117442 | + | 0.0816825i | ||||
\(750\) | −368.295 | + | 394.239i | −0.491060 | + | 0.525652i | ||||
\(751\) | −146.596 | − | 499.259i | −0.195201 | − | 0.664792i | −0.997678 | − | 0.0681095i | \(-0.978303\pi\) |
0.802477 | − | 0.596683i | \(-0.203515\pi\) | |||||||
\(752\) | 186.978 | + | 26.8833i | 0.248641 | + | 0.0357491i | ||||
\(753\) | −229.369 | + | 264.705i | −0.304606 | + | 0.351534i | ||||
\(754\) | −720.113 | + | 462.788i | −0.955057 | + | 0.613778i | ||||
\(755\) | −411.598 | + | 315.462i | −0.545163 | + | 0.417831i | ||||
\(756\) | −206.394 | + | 702.913i | −0.273008 | + | 0.929779i | ||||
\(757\) | −261.904 | + | 573.489i | −0.345976 | + | 0.757582i | 0.654024 | + | 0.756474i | \(0.273080\pi\) |
−0.999999 | + | 0.00110729i | \(0.999648\pi\) | |||||||
\(758\) | −404.420 | −0.533536 | ||||||||
\(759\) | −437.578 | + | 267.903i | −0.576519 | + | 0.352968i | ||||
\(760\) | 4.37372 | − | 72.7311i | 0.00575489 | − | 0.0956988i | ||||
\(761\) | 286.111 | − | 626.496i | 0.375967 | − | 0.823253i | −0.623185 | − | 0.782075i | \(-0.714162\pi\) |
0.999152 | − | 0.0411785i | \(-0.0131112\pi\) | |||||||
\(762\) | 203.427 | − | 692.810i | 0.266965 | − | 0.909199i | ||||
\(763\) | −1076.45 | + | 932.748i | −1.41081 | + | 1.22247i | ||||
\(764\) | −87.7586 | − | 136.555i | −0.114867 | − | 0.178737i | ||||
\(765\) | 30.7743 | + | 30.0843i | 0.0402278 | + | 0.0393259i | ||||
\(766\) | 856.387 | + | 123.130i | 1.11800 | + | 0.160744i | ||||
\(767\) | 242.013 | + | 824.222i | 0.315532 | + | 1.07460i | ||||
\(768\) | 26.3997 | − | 41.0788i | 0.0343746 | − | 0.0534880i | ||||
\(769\) | 1209.88 | − | 173.955i | 1.57332 | − | 0.226209i | 0.700283 | − | 0.713866i | \(-0.253057\pi\) |
0.873036 | + | 0.487657i | \(0.162148\pi\) | |||||||
\(770\) | −666.286 | + | 257.153i | −0.865306 | + | 0.333965i | ||||
\(771\) | −538.290 | − | 1178.69i | −0.698171 | − | 1.52878i | ||||
\(772\) | −288.424 | + | 41.4692i | −0.373607 | + | 0.0537165i | ||||
\(773\) | 307.314 | + | 197.499i | 0.397561 | + | 0.255497i | 0.724112 | − | 0.689683i | \(-0.242250\pi\) |
−0.326551 | + | 0.945180i | \(0.605886\pi\) | |||||||
\(774\) | −0.782355 | − | 2.66446i | −0.00101080 | − | 0.00344245i | ||||
\(775\) | −95.1994 | + | 353.695i | −0.122838 | + | 0.456380i | ||||
\(776\) | 128.466 | + | 111.316i | 0.165549 | + | 0.143449i | ||||
\(777\) | 702.592 | + | 1093.25i | 0.904237 | + | 1.40702i | ||||
\(778\) | −104.420 | − | 120.507i | −0.134216 | − | 0.154894i | ||||
\(779\) | 30.2586 | − | 103.051i | 0.0388429 | − | 0.132287i | ||||
\(780\) | −589.521 | − | 313.280i | −0.755796 | − | 0.401641i | ||||
\(781\) | 294.343i | 0.376879i | ||||||||
\(782\) | 660.727 | + | 598.265i | 0.844920 | + | 0.765045i | ||||
\(783\) | 733.505i | 0.936788i | ||||||||
\(784\) | 235.850 | − | 516.440i | 0.300829 | − | 0.658724i | ||||
\(785\) | −92.9956 | + | 258.235i | −0.118466 | + | 0.328961i | ||||
\(786\) | −402.117 | − | 464.067i | −0.511599 | − | 0.590416i | ||||
\(787\) | −101.059 | + | 64.9469i | −0.128411 | + | 0.0825246i | −0.603269 | − | 0.797538i | \(-0.706136\pi\) |
0.474859 | + | 0.880062i | \(0.342499\pi\) | |||||||
\(788\) | 343.843 | + | 297.942i | 0.436349 | + | 0.378099i | ||||
\(789\) | 224.402 | + | 32.2641i | 0.284413 | + | 0.0408924i | ||||
\(790\) | −179.672 | − | 783.091i | −0.227433 | − | 0.991255i | ||||
\(791\) | −812.373 | − | 522.080i | −1.02702 | − | 0.660026i | ||||
\(792\) | 0.924152 | + | 6.42762i | 0.00116686 | + | 0.00811568i | ||||
\(793\) | −4.65127 | − | 10.1849i | −0.00586541 | − | 0.0128435i | ||||
\(794\) | 189.256 | + | 414.413i | 0.238358 | + | 0.521931i | ||||
\(795\) | −66.1960 | − | 798.256i | −0.0832654 | − | 1.00410i | ||||
\(796\) | −42.9220 | + | 66.7880i | −0.0539221 | + | 0.0839045i | ||||
\(797\) | 764.641 | − | 224.519i | 0.959399 | − | 0.281705i | 0.235704 | − | 0.971825i | \(-0.424260\pi\) |
0.723695 | + | 0.690120i | \(0.242442\pi\) | |||||||
\(798\) | −304.141 | − | 43.7289i | −0.381129 | − | 0.0547981i | ||||
\(799\) | 978.025 | + | 847.464i | 1.22406 | + | 1.06066i | ||||
\(800\) | 61.6499 | + | 127.276i | 0.0770624 | + | 0.159096i | ||||
\(801\) | −8.21028 | + | 7.11425i | −0.0102500 | + | 0.00888171i | ||||
\(802\) | 11.8235 | + | 3.47170i | 0.0147425 | + | 0.00432880i | ||||
\(803\) | −200.065 | + | 438.080i | −0.249146 | + | 0.545555i | ||||
\(804\) | 333.290i | 0.414540i | ||||||||
\(805\) | 1111.79 | + | 1135.37i | 1.38111 | + | 1.41039i | ||||
\(806\) | −453.244 | −0.562337 | ||||||||
\(807\) | −305.468 | − | 139.502i | −0.378523 | − | 0.172865i | ||||
\(808\) | −31.7220 | + | 108.035i | −0.0392599 | + | 0.133707i | ||||
\(809\) | 522.462 | + | 602.953i | 0.645812 | + | 0.745306i | 0.980391 | − | 0.197061i | \(-0.0631398\pi\) |
−0.334580 | + | 0.942367i | \(0.608594\pi\) | |||||||
\(810\) | −516.378 | + | 289.611i | −0.637504 | + | 0.357544i | ||||
\(811\) | 83.7576 | − | 96.6614i | 0.103277 | − | 0.119188i | −0.701758 | − | 0.712416i | \(-0.747601\pi\) |
0.805035 | + | 0.593228i | \(0.202147\pi\) | |||||||
\(812\) | 108.828 | − | 756.918i | 0.134025 | − | 0.932165i | ||||
\(813\) | −100.621 | − | 342.682i | −0.123765 | − | 0.421503i | ||||
\(814\) | −267.981 | − | 172.221i | −0.329215 | − | 0.211574i | ||||
\(815\) | −49.2991 | − | 594.496i | −0.0604897 | − | 0.729444i | ||||
\(816\) | 304.295 | − | 138.967i | 0.372911 | − | 0.170303i | ||||
\(817\) | −29.2982 | + | 13.3800i | −0.0358607 | + | 0.0163770i | ||||
\(818\) | 557.767 | − | 80.1948i | 0.681867 | − | 0.0980377i | ||||
\(819\) | −51.3286 | + | 79.8689i | −0.0626723 | + | 0.0975200i | ||||
\(820\) | 46.6177 | + | 203.181i | 0.0568509 | + | 0.247781i | ||||
\(821\) | 200.672 | − | 1395.70i | 0.244424 | − | 1.70000i | −0.384980 | − | 0.922925i | \(-0.625792\pi\) |
0.629404 | − | 0.777079i | \(-0.283299\pi\) | |||||||
\(822\) | 360.190 | − | 415.682i | 0.438188 | − | 0.505695i | ||||
\(823\) | −92.9968 | − | 144.706i | −0.112997 | − | 0.175827i | 0.780149 | − | 0.625594i | \(-0.215143\pi\) |
−0.893146 | + | 0.449767i | \(0.851507\pi\) | |||||||
\(824\) | −324.084 | + | 280.820i | −0.393306 | + | 0.340801i | ||||
\(825\) | −512.415 | − | 220.112i | −0.621109 | − | 0.266803i | ||||
\(826\) | −698.050 | − | 318.789i | −0.845097 | − | 0.385943i | ||||
\(827\) | −1065.80 | −1.28876 | −0.644378 | − | 0.764707i | \(-0.722884\pi\) | ||||
−0.644378 | + | 0.764707i | \(0.722884\pi\) | |||||||
\(828\) | 12.3225 | − | 7.54430i | 0.0148822 | − | 0.00911148i | ||||
\(829\) | 730.576 | 0.881273 | 0.440637 | − | 0.897686i | \(-0.354753\pi\) | ||||
0.440637 | + | 0.897686i | \(0.354753\pi\) | |||||||
\(830\) | 246.821 | − | 464.460i | 0.297375 | − | 0.559591i | ||||
\(831\) | 956.980 | + | 280.995i | 1.15160 | + | 0.338141i | ||||
\(832\) | −132.254 | + | 114.599i | −0.158959 | + | 0.137739i | ||||
\(833\) | 3272.05 | − | 2102.82i | 3.92803 | − | 2.52439i | ||||
\(834\) | −506.115 | + | 584.088i | −0.606852 | + | 0.700345i | ||||
\(835\) | 244.162 | − | 1187.02i | 0.292409 | − | 1.42159i | ||||
\(836\) | 72.2676 | − | 21.2197i | 0.0864445 | − | 0.0253824i | ||||
\(837\) | −209.976 | + | 326.730i | −0.250868 | + | 0.390358i | ||||
\(838\) | −0.0942932 | − | 0.655824i | −0.000112522 | − | 0.000782606i | ||||
\(839\) | −795.380 | + | 363.238i | −0.948010 | + | 0.432941i | −0.828561 | − | 0.559899i | \(-0.810840\pi\) |
−0.119449 | + | 0.992840i | \(0.538113\pi\) | |||||||
\(840\) | 556.388 | − | 214.738i | 0.662367 | − | 0.255640i | ||||
\(841\) | 10.7221 | + | 74.5738i | 0.0127492 | + | 0.0886728i | ||||
\(842\) | −334.036 | − | 214.672i | −0.396718 | − | 0.254955i | ||||
\(843\) | 382.785 | − | 112.396i | 0.454075 | − | 0.133328i | ||||
\(844\) | 87.5587 | − | 608.984i | 0.103743 | − | 0.721545i | ||||
\(845\) | 1106.58 | + | 1081.77i | 1.30956 | + | 1.28020i | ||||
\(846\) | 17.6474 | − | 11.3413i | 0.0208598 | − | 0.0134058i | ||||
\(847\) | 611.452 | + | 705.653i | 0.721903 | + | 0.833121i | ||||
\(848\) | −201.461 | − | 59.1544i | −0.237572 | − | 0.0697575i | ||||
\(849\) | −336.226 | − | 153.549i | −0.396026 | − | 0.180859i | ||||
\(850\) | −116.104 | + | 961.863i | −0.136593 | + | 1.13160i | ||||
\(851\) | −116.157 | + | 699.190i | −0.136495 | + | 0.821610i | ||||
\(852\) | − | 245.794i | − | 0.288490i | ||||||
\(853\) | −462.213 | − | 211.086i | −0.541868 | − | 0.247463i | 0.125626 | − | 0.992078i | \(-0.459906\pi\) |
−0.667494 | + | 0.744615i | \(0.732633\pi\) | |||||||
\(854\) | 9.59731 | + | 2.81803i | 0.0112381 | + | 0.00329980i | ||||
\(855\) | −4.92212 | − | 6.42212i | −0.00575687 | − | 0.00751125i | ||||
\(856\) | 6.84012 | + | 10.6434i | 0.00799079 | + | 0.0124339i | ||||
\(857\) | −55.0669 | − | 47.7158i | −0.0642555 | − | 0.0556777i | 0.622141 | − | 0.782905i | \(-0.286263\pi\) |
−0.686396 | + | 0.727228i | \(0.740809\pi\) | |||||||
\(858\) | 98.2108 | − | 683.071i | 0.114465 | − | 0.796120i | ||||
\(859\) | 247.401 | − | 72.6436i | 0.288011 | − | 0.0845676i | −0.134536 | − | 0.990909i | \(-0.542954\pi\) |
0.422547 | + | 0.906341i | \(0.361136\pi\) | |||||||
\(860\) | 36.8943 | − | 50.4676i | 0.0429003 | − | 0.0586833i | ||||
\(861\) | 870.151 | − | 125.109i | 1.01063 | − | 0.145306i | ||||
\(862\) | 79.5286 | + | 174.143i | 0.0922605 | + | 0.202022i | ||||
\(863\) | 52.7695 | − | 24.0990i | 0.0611466 | − | 0.0279247i | −0.384607 | − | 0.923080i | \(-0.625663\pi\) |
0.445754 | + | 0.895156i | \(0.352936\pi\) | |||||||
\(864\) | 21.3408 | + | 148.428i | 0.0247000 | + | 0.171792i | ||||
\(865\) | −1143.74 | − | 836.131i | −1.32224 | − | 0.966626i | ||||
\(866\) | 265.327 | + | 903.620i | 0.306382 | + | 1.04344i | ||||
\(867\) | 1395.41 | + | 200.630i | 1.60947 | + | 0.231407i | ||||
\(868\) | 265.155 | − | 306.005i | 0.305478 | − | 0.352540i | ||||
\(869\) | 698.679 | − | 449.014i | 0.804004 | − | 0.516702i | ||||
\(870\) | 473.944 | − | 363.246i | 0.544764 | − | 0.417525i | ||||
\(871\) | 336.511 | − | 1146.05i | 0.386350 | − | 1.31579i | ||||
\(872\) | −121.115 | + | 265.205i | −0.138893 | + | 0.304134i | ||||
\(873\) | 18.8768 | 0.0216230 | ||||||||
\(874\) | −106.953 | − | 129.016i | −0.122372 | − | 0.147616i | ||||
\(875\) | −309.550 | + | 1699.28i | −0.353772 | + | 1.94204i | ||||
\(876\) | 167.066 | − | 365.823i | 0.190714 | − | 0.417606i | ||||
\(877\) | 164.657 | − | 560.770i | 0.187750 | − | 0.639419i | −0.810787 | − | 0.585342i | \(-0.800960\pi\) |
0.998537 | − | 0.0540766i | \(-0.0172215\pi\) | |||||||
\(878\) | 837.570 | − | 725.758i | 0.953952 | − | 0.826604i | ||||
\(879\) | 561.591 | + | 873.852i | 0.638897 | + | 0.994143i | ||||
\(880\) | −102.192 | + | 104.536i | −0.116128 | + | 0.118791i | ||||
\(881\) | 1045.78 | + | 150.360i | 1.18703 | + | 0.170670i | 0.707410 | − | 0.706804i | \(-0.249864\pi\) |
0.479625 | + | 0.877474i | \(0.340773\pi\) | |||||||
\(882\) | −17.7628 | − | 60.4945i | −0.0201392 | − | 0.0685879i | ||||
\(883\) | 283.180 | − | 440.637i | 0.320702 | − | 0.499023i | −0.643049 | − | 0.765825i | \(-0.722331\pi\) |
0.963751 | + | 0.266803i | \(0.0859672\pi\) | |||||||
\(884\) | −1186.66 | + | 170.616i | −1.34238 | + | 0.193005i | ||||
\(885\) | −215.765 | − | 559.049i | −0.243802 | − | 0.631694i | ||||
\(886\) | 325.058 | + | 711.778i | 0.366883 | + | 0.803361i | ||||
\(887\) | 27.0870 | − | 3.89453i | 0.0305378 | − | 0.00439067i | −0.127029 | − | 0.991899i | \(-0.540544\pi\) |
0.157567 | + | 0.987508i | \(0.449635\pi\) | |||||||
\(888\) | 223.780 | + | 143.815i | 0.252005 | + | 0.161954i | ||||
\(889\) | −651.281 | − | 2218.06i | −0.732599 | − | 2.49500i | ||||
\(890\) | −239.553 | − | 49.2741i | −0.269160 | − | 0.0553642i | ||||
\(891\) | −462.522 | − | 400.778i | −0.519105 | − | 0.449807i | ||||
\(892\) | −60.6980 | − | 94.4479i | −0.0680471 | − | 0.105883i | ||||
\(893\) | −159.335 | − | 183.882i | −0.178426 | − | 0.205915i | ||||
\(894\) | 66.8215 | − | 227.573i | 0.0747444 | − | 0.254556i | ||||
\(895\) | −1368.75 | − | 727.374i | −1.52933 | − | 0.812709i | ||||
\(896\) | − | 156.333i | − | 0.174478i | ||||||
\(897\) | −1482.36 | + | 400.331i | −1.65257 | + | 0.446300i | ||||
\(898\) | − | 672.888i | − | 0.749319i | ||||||
\(899\) | 168.413 | − | 368.774i | 0.187334 | − | 0.410204i | ||||
\(900\) | 14.4299 | + | 6.19850i | 0.0160333 | + | 0.00688722i | ||||
\(901\) | −941.972 | − | 1087.09i | −1.04547 | − | 1.20654i | ||||
\(902\) | −181.279 | + | 116.501i | −0.200975 | + | 0.129159i | ||||
\(903\) | −199.241 | − | 172.644i | −0.220644 | − | 0.191189i | ||||
\(904\) | −195.653 | − | 28.1306i | −0.216430 | − | 0.0311179i | ||||
\(905\) | 482.904 | − | 110.797i | 0.533596 | − | 0.122428i | ||||
\(906\) | 376.583 | + | 242.016i | 0.415655 | + | 0.267125i | ||||
\(907\) | −58.5079 | − | 406.932i | −0.0645071 | − | 0.448657i | −0.996320 | − | 0.0857166i | \(-0.972682\pi\) |
0.931812 | − | 0.362940i | \(-0.118227\pi\) | |||||||
\(908\) | −82.2148 | − | 180.025i | −0.0905449 | − | 0.198266i | ||||
\(909\) | 5.19428 | + | 11.3739i | 0.00571428 | + | 0.0125125i | ||||
\(910\) | −2130.01 | + | 176.633i | −2.34067 | + | 0.194102i | ||||
\(911\) | −121.474 | + | 189.017i | −0.133341 | + | 0.207483i | −0.901503 | − | 0.432773i | \(-0.857535\pi\) |
0.768162 | + | 0.640256i | \(0.221172\pi\) | |||||||
\(912\) | −60.3477 | + | 17.7197i | −0.0661708 | + | 0.0194295i | ||||
\(913\) | 538.165 | + | 77.3764i | 0.589447 | + | 0.0847496i | ||||
\(914\) | −702.883 | − | 609.051i | −0.769018 | − | 0.666358i | ||||
\(915\) | 3.82074 | + | 6.81240i | 0.00417567 | + | 0.00744524i | ||||
\(916\) | 343.686 | − | 297.806i | 0.375203 | − | 0.325115i | ||||
\(917\) | −1886.27 | − | 553.859i | −2.05700 | − | 0.603990i | ||||
\(918\) | −426.758 | + | 934.470i | −0.464878 | + | 1.01794i | ||||
\(919\) | 658.359i | 0.716386i | 0.933647 | + | 0.358193i | \(0.116607\pi\) | ||||
−0.933647 | + | 0.358193i | \(0.883393\pi\) | |||||||
\(920\) | 303.552 | + | 116.861i | 0.329947 | + | 0.127023i | ||||
\(921\) | −452.200 | −0.490989 | ||||||||
\(922\) | 965.137 | + | 440.763i | 1.04679 | + | 0.478051i | ||||
\(923\) | −248.169 | + | 845.187i | −0.268873 | + | 0.915696i | ||||
\(924\) | 403.717 | + | 465.914i | 0.436923 | + | 0.504236i | ||||
\(925\) | −693.350 | + | 335.844i | −0.749567 | + | 0.363074i | ||||
\(926\) | −771.304 | + | 890.132i | −0.832941 | + | 0.961265i | ||||
\(927\) | −6.77720 | + | 47.1365i | −0.00731090 | + | 0.0508484i | ||||
\(928\) | −44.0991 | − | 150.188i | −0.0475206 | − | 0.161840i | ||||
\(929\) | 801.218 | + | 514.911i | 0.862452 | + | 0.554264i | 0.895435 | − | 0.445192i | \(-0.146865\pi\) |
−0.0329835 | + | 0.999456i | \(0.510501\pi\) | |||||||
\(930\) | 315.096 | − | 26.1296i | 0.338813 | − | 0.0280964i | ||||
\(931\) | −665.194 | + | 303.784i | −0.714494 | + | 0.326299i | ||||
\(932\) | 55.0021 | − | 25.1186i | 0.0590151 | − | 0.0269513i | ||||
\(933\) | 371.725 | − | 53.4459i | 0.398419 | − | 0.0572839i | ||||
\(934\) | −265.630 | + | 413.329i | −0.284401 | + | 0.442536i | ||||
\(935\) | −976.139 | + | 223.965i | −1.04400 | + | 0.239535i | ||||
\(936\) | −2.76568 | + | 19.2357i | −0.00295478 | + | 0.0205510i | ||||
\(937\) | 256.598 | − | 296.130i | 0.273850 | − | 0.316040i | −0.602119 | − | 0.798406i | \(-0.705677\pi\) |
0.875970 | + | 0.482366i | \(0.160222\pi\) | |||||||
\(938\) | 576.886 | + | 897.652i | 0.615017 | + | 0.956985i | ||||
\(939\) | −1012.59 | + | 877.412i | −1.07837 | + | 0.934411i | ||||
\(940\) | 444.318 | + | 160.008i | 0.472679 | + | 0.170221i | ||||
\(941\) | −370.108 | − | 169.023i | −0.393313 | − | 0.179620i | 0.208934 | − | 0.977930i | \(-0.433001\pi\) |
−0.602247 | + | 0.798310i | \(0.705728\pi\) | |||||||
\(942\) | 236.924 | 0.251512 | ||||||||
\(943\) | 397.592 | + | 267.956i | 0.421625 | + | 0.284153i | ||||
\(944\) | −157.080 | −0.166399 | ||||||||
\(945\) | −859.451 | + | 1617.29i | −0.909472 | + | 1.71142i | ||||
\(946\) | 62.0050 | + | 18.2063i | 0.0655443 | + | 0.0192456i | ||||
\(947\) | −856.795 | + | 742.417i | −0.904746 | + | 0.783967i | −0.976960 | − | 0.213422i | \(-0.931539\pi\) |
0.0722139 | + | 0.997389i | \(0.476994\pi\) | |||||||
\(948\) | −583.439 | + | 374.953i | −0.615442 | + | 0.395520i | ||||
\(949\) | −943.832 | + | 1089.24i | −0.994555 | + | 1.14778i | ||||
\(950\) | 47.3437 | − | 175.896i | 0.0498354 | − | 0.185154i | ||||
\(951\) | 23.1016 | − | 6.78323i | 0.0242919 | − | 0.00713273i | ||||
\(952\) | 579.025 | − | 900.981i | 0.608220 | − | 0.946408i | ||||
\(953\) | 226.575 | + | 1575.87i | 0.237750 | + | 1.65359i | 0.663081 | + | 0.748548i | \(0.269249\pi\) |
−0.425331 | + | 0.905038i | \(0.639842\pi\) | |||||||
\(954\) | −21.2098 | + | 9.68618i | −0.0222325 | + | 0.0101532i | ||||
\(955\) | −146.117 | − | 378.590i | −0.153002 | − | 0.396429i | ||||
\(956\) | −50.5489 | − | 351.576i | −0.0528755 | − | 0.367757i | ||||
\(957\) | 519.276 | + | 333.718i | 0.542608 | + | 0.348713i | ||||
\(958\) | −690.777 | + | 202.830i | −0.721061 | + | 0.211723i | ||||
\(959\) | 250.606 | − | 1743.01i | 0.261321 | − | 1.81752i | ||||
\(960\) | 85.3367 | − | 87.2938i | 0.0888924 | − | 0.0909311i | ||||
\(961\) | −627.861 | + | 403.502i | −0.653341 | + | 0.419877i | ||||
\(962\) | −624.287 | − | 720.465i | −0.648947 | − | 0.748925i | ||||
\(963\) | 1.34808 | + | 0.395833i | 0.00139988 | + | 0.000411042i | ||||
\(964\) | −445.861 | − | 203.618i | −0.462511 | − | 0.211222i | ||||
\(965\) | −727.162 | − | 43.7282i | −0.753536 | − | 0.0453142i | ||||
\(966\) | 596.920 | − | 1235.00i | 0.617930 | − | 1.27847i | ||||
\(967\) | 93.8703i | 0.0970737i | 0.998821 | + | 0.0485369i | \(0.0154558\pi\) | ||||
−0.998821 | + | 0.0485369i | \(0.984544\pi\) | |||||||
\(968\) | 173.852 | + | 79.3956i | 0.179599 | + | 0.0820202i | ||||
\(969\) | −413.428 | − | 121.393i | −0.426655 | − | 0.125277i | ||||
\(970\) | 258.510 | + | 337.290i | 0.266505 | + | 0.347722i | ||||
\(971\) | 310.557 | + | 483.236i | 0.319832 | + | 0.497668i | 0.963526 | − | 0.267615i | \(-0.0862354\pi\) |
−0.643694 | + | 0.765283i | \(0.722599\pi\) | |||||||
\(972\) | 25.6254 | + | 22.2046i | 0.0263636 | + | 0.0228442i | ||||
\(973\) | −352.135 | + | 2449.15i | −0.361907 | + | 2.51712i | ||||
\(974\) | 21.3419 | − | 6.26654i | 0.0219116 | − | 0.00643382i | ||||
\(975\) | −1285.79 | − | 1064.07i | −1.31875 | − | 1.09136i | ||||
\(976\) | 2.02659 | − | 0.291379i | 0.00207642 | − | 0.000298544i | ||||
\(977\) | −260.085 | − | 569.506i | −0.266207 | − | 0.582913i | 0.728571 | − | 0.684970i | \(-0.240185\pi\) |
−0.994779 | + | 0.102057i | \(0.967457\pi\) | |||||||
\(978\) | −468.402 | + | 213.912i | −0.478938 | + | 0.218724i | ||||
\(979\) | −35.9789 | − | 250.239i | −0.0367506 | − | 0.255606i | ||||
\(980\) | 837.657 | − | 1145.83i | 0.854753 | − | 1.16921i | ||||
\(981\) | 9.12165 | + | 31.0655i | 0.00929832 | + | 0.0316672i | ||||
\(982\) | 946.974 | + | 136.154i | 0.964332 | + | 0.138650i | ||||
\(983\) | −84.5573 | + | 97.5844i | −0.0860197 | + | 0.0992720i | −0.797128 | − | 0.603811i | \(-0.793648\pi\) |
0.711108 | + | 0.703083i | \(0.248194\pi\) | |||||||
\(984\) | 151.379 | − | 97.2853i | 0.153840 | − | 0.0988671i | ||||
\(985\) | 691.911 | + | 902.769i | 0.702448 | + | 0.916517i | ||||
\(986\) | 302.113 | − | 1028.90i | 0.306402 | − | 1.04351i | ||||
\(987\) | 827.313 | − | 1811.56i | 0.838210 | − | 1.83542i | ||||
\(988\) | 225.403 | 0.228141 | ||||||||
\(989\) | −17.3516 | − | 142.734i | −0.0175446 | − | 0.144322i | ||||
\(990\) | −0.974496 | + | 16.2050i | −0.000984340 | + | 0.0163687i | ||||
\(991\) | −473.252 | + | 1036.28i | −0.477550 | + | 1.04569i | 0.505580 | + | 0.862780i | \(0.331278\pi\) |
−0.983130 | + | 0.182909i | \(0.941449\pi\) | |||||||
\(992\) | 23.3501 | − | 79.5230i | 0.0235384 | − | 0.0801644i | ||||
\(993\) | −355.827 | + | 308.326i | −0.358335 | + | 0.310499i | ||||
\(994\) | −425.440 | − | 661.998i | −0.428008 | − | 0.665994i | ||||
\(995\) | −138.745 | + | 141.927i | −0.139442 | + | 0.142640i | ||||
\(996\) | −449.400 | − | 64.6139i | −0.451205 | − | 0.0648734i | ||||
\(997\) | 164.287 | + | 559.511i | 0.164782 | + | 0.561195i | 0.999937 | + | 0.0111815i | \(0.00355925\pi\) |
−0.835156 | + | 0.550013i | \(0.814623\pi\) | |||||||
\(998\) | −305.054 | + | 474.674i | −0.305665 | + | 0.475625i | ||||
\(999\) | −808.577 | + | 116.256i | −0.809387 | + | 0.116372i |
(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 | 230.3.i.a.109.3 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.109.22 | yes | 240 | |
23.19 | odd | 22 | inner | 230.3.i.a.19.22 | yes | 240 | |
115.19 | odd | 22 | inner | 230.3.i.a.19.3 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.3 | ✓ | 240 | 115.19 | odd | 22 | inner | |
230.3.i.a.19.22 | yes | 240 | 23.19 | odd | 22 | inner | |
230.3.i.a.109.3 | yes | 240 | 1.1 | even | 1 | trivial | |
230.3.i.a.109.22 | yes | 240 | 5.4 | even | 2 | inner |