Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,3,Mod(43,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.43");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.p (of order \(6\), degree \(2\), 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: | \(1.96185790339\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 43.20 | ||
Character | \(\chi\) | \(=\) | 72.43 |
Dual form | 72.3.p.b.67.20 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.99426 | − | 0.151428i | 0.997130 | − | 0.0757141i | ||||
\(3\) | 1.33710 | + | 2.68555i | 0.445701 | + | 0.895182i | ||||
\(4\) | 3.95414 | − | 0.603974i | 0.988535 | − | 0.150994i | ||||
\(5\) | −1.70411 | + | 0.983869i | −0.340822 | + | 0.196774i | −0.660636 | − | 0.750707i | \(-0.729713\pi\) |
0.319813 | + | 0.947481i | \(0.396380\pi\) | |||||||
\(6\) | 3.07320 | + | 5.15320i | 0.512200 | + | 0.858866i | ||||
\(7\) | −8.69613 | − | 5.02071i | −1.24230 | − | 0.717244i | −0.272741 | − | 0.962087i | \(-0.587930\pi\) |
−0.969563 | + | 0.244843i | \(0.921264\pi\) | |||||||
\(8\) | 7.79412 | − | 1.80325i | 0.974265 | − | 0.225406i | ||||
\(9\) | −5.42431 | + | 7.18171i | −0.602701 | + | 0.797967i | ||||
\(10\) | −3.24945 | + | 2.22014i | −0.324945 | + | 0.222014i | ||||
\(11\) | 6.08627 | − | 10.5417i | 0.553298 | − | 0.958339i | −0.444736 | − | 0.895662i | \(-0.646703\pi\) |
0.998034 | − | 0.0626779i | \(-0.0199641\pi\) | |||||||
\(12\) | 6.90909 | + | 9.81144i | 0.575758 | + | 0.817620i | ||||
\(13\) | 4.28857 | − | 2.47601i | 0.329890 | − | 0.190462i | −0.325902 | − | 0.945403i | \(-0.605668\pi\) |
0.655792 | + | 0.754941i | \(0.272335\pi\) | |||||||
\(14\) | −18.1026 | − | 8.69576i | −1.29304 | − | 0.621126i | ||||
\(15\) | −4.92080 | − | 3.26093i | −0.328053 | − | 0.217395i | ||||
\(16\) | 15.2704 | − | 4.77640i | 0.954402 | − | 0.298525i | ||||
\(17\) | 4.71370 | 0.277277 | 0.138638 | − | 0.990343i | \(-0.455727\pi\) | ||||
0.138638 | + | 0.990343i | \(0.455727\pi\) | |||||||
\(18\) | −9.72996 | + | 15.1436i | −0.540553 | + | 0.841310i | ||||
\(19\) | −20.5288 | −1.08046 | −0.540232 | − | 0.841516i | \(-0.681663\pi\) | ||||
−0.540232 | + | 0.841516i | \(0.681663\pi\) | |||||||
\(20\) | −6.14406 | + | 4.91959i | −0.307203 | + | 0.245980i | ||||
\(21\) | 1.85572 | − | 30.0671i | 0.0883678 | − | 1.43176i | ||||
\(22\) | 10.5413 | − | 21.9446i | 0.479149 | − | 0.997481i | ||||
\(23\) | −3.33400 | + | 1.92488i | −0.144956 | + | 0.0836906i | −0.570724 | − | 0.821142i | \(-0.693337\pi\) |
0.425768 | + | 0.904832i | \(0.360004\pi\) | |||||||
\(24\) | 15.2643 | + | 18.5203i | 0.636011 | + | 0.771680i | ||||
\(25\) | −10.5640 | + | 18.2974i | −0.422560 | + | 0.731896i | ||||
\(26\) | 8.17758 | − | 5.58721i | 0.314522 | − | 0.214893i | ||||
\(27\) | −26.5397 | − | 4.96454i | −0.982950 | − | 0.183872i | ||||
\(28\) | −37.4181 | − | 14.6004i | −1.33636 | − | 0.521441i | ||||
\(29\) | 40.7608 | + | 23.5333i | 1.40555 | + | 0.811492i | 0.994955 | − | 0.100327i | \(-0.0319889\pi\) |
0.410592 | + | 0.911819i | \(0.365322\pi\) | |||||||
\(30\) | −10.3071 | − | 5.75800i | −0.343571 | − | 0.191933i | ||||
\(31\) | −49.9323 | + | 28.8285i | −1.61072 | + | 0.929950i | −0.621517 | + | 0.783400i | \(0.713483\pi\) |
−0.989203 | + | 0.146550i | \(0.953183\pi\) | |||||||
\(32\) | 29.7299 | − | 11.8377i | 0.929060 | − | 0.369930i | ||||
\(33\) | 36.4483 | + | 2.24957i | 1.10449 | + | 0.0681688i | ||||
\(34\) | 9.40035 | − | 0.713788i | 0.276481 | − | 0.0209938i | ||||
\(35\) | 19.7589 | 0.564540 | ||||||||
\(36\) | −17.1109 | + | 31.6736i | −0.475303 | + | 0.879822i | ||||
\(37\) | − | 7.93672i | − | 0.214506i | −0.994232 | − | 0.107253i | \(-0.965795\pi\) | ||
0.994232 | − | 0.107253i | \(-0.0342055\pi\) | |||||||
\(38\) | −40.9398 | + | 3.10864i | −1.07736 | + | 0.0818063i | ||||
\(39\) | 12.3837 | + | 8.20647i | 0.317530 | + | 0.210422i | ||||
\(40\) | −11.5079 | + | 10.7413i | −0.287697 | + | 0.268533i | ||||
\(41\) | −11.3426 | − | 19.6460i | −0.276649 | − | 0.479171i | 0.693901 | − | 0.720071i | \(-0.255891\pi\) |
−0.970550 | + | 0.240900i | \(0.922557\pi\) | |||||||
\(42\) | −0.852206 | − | 60.2425i | −0.0202906 | − | 1.43435i | ||||
\(43\) | 30.7806 | − | 53.3136i | 0.715828 | − | 1.23985i | −0.246811 | − | 0.969064i | \(-0.579383\pi\) |
0.962639 | − | 0.270787i | \(-0.0872840\pi\) | |||||||
\(44\) | 17.6990 | − | 45.3594i | 0.402251 | − | 1.03090i | ||||
\(45\) | 2.17777 | − | 17.5752i | 0.0483948 | − | 0.390561i | ||||
\(46\) | −6.35737 | + | 4.34358i | −0.138204 | + | 0.0944256i | ||||
\(47\) | 44.7133 | + | 25.8152i | 0.951346 | + | 0.549260i | 0.893499 | − | 0.449066i | \(-0.148243\pi\) |
0.0578471 | + | 0.998325i | \(0.481576\pi\) | |||||||
\(48\) | 33.2454 | + | 34.6229i | 0.692612 | + | 0.721310i | ||||
\(49\) | 25.9151 | + | 44.8862i | 0.528879 | + | 0.916045i | ||||
\(50\) | −18.2966 | + | 38.0894i | −0.365932 | + | 0.761789i | ||||
\(51\) | 6.30271 | + | 12.6589i | 0.123583 | + | 0.248213i | ||||
\(52\) | 15.4622 | − | 12.3807i | 0.297349 | − | 0.238090i | ||||
\(53\) | 51.0133i | 0.962515i | 0.876579 | + | 0.481258i | \(0.159820\pi\) | ||||
−0.876579 | + | 0.481258i | \(0.840180\pi\) | |||||||
\(54\) | −53.6787 | − | 5.88172i | −0.994050 | − | 0.108921i | ||||
\(55\) | 23.9524i | 0.435498i | ||||||||
\(56\) | −76.8322 | − | 23.4507i | −1.37200 | − | 0.418763i | ||||
\(57\) | −27.4491 | − | 55.1310i | −0.481564 | − | 0.967211i | ||||
\(58\) | 84.8513 | + | 40.7591i | 1.46295 | + | 0.702743i | ||||
\(59\) | 16.7094 | + | 28.9415i | 0.283209 | + | 0.490533i | 0.972173 | − | 0.234262i | \(-0.0752675\pi\) |
−0.688964 | + | 0.724796i | \(0.741934\pi\) | |||||||
\(60\) | −21.4270 | − | 9.92214i | −0.357117 | − | 0.165369i | ||||
\(61\) | 39.7329 | + | 22.9398i | 0.651359 | + | 0.376062i | 0.788977 | − | 0.614423i | \(-0.210611\pi\) |
−0.137618 | + | 0.990485i | \(0.543945\pi\) | |||||||
\(62\) | −95.2126 | + | 65.0526i | −1.53569 | + | 1.04923i | ||||
\(63\) | 83.2277 | − | 35.2191i | 1.32108 | − | 0.559034i | ||||
\(64\) | 57.4966 | − | 28.1095i | 0.898384 | − | 0.439211i | ||||
\(65\) | −4.87213 | + | 8.43878i | −0.0749559 | + | 0.129827i | ||||
\(66\) | 73.0280 | − | 1.03307i | 1.10648 | − | 0.0156526i | ||||
\(67\) | 26.9209 | + | 46.6284i | 0.401805 | + | 0.695946i | 0.993944 | − | 0.109889i | \(-0.0350497\pi\) |
−0.592139 | + | 0.805836i | \(0.701716\pi\) | |||||||
\(68\) | 18.6386 | − | 2.84696i | 0.274098 | − | 0.0418670i | ||||
\(69\) | −9.62726 | − | 6.37983i | −0.139525 | − | 0.0924613i | ||||
\(70\) | 39.4043 | − | 2.99205i | 0.562919 | − | 0.0427436i | ||||
\(71\) | − | 132.571i | − | 1.86720i | −0.358313 | − | 0.933601i | \(-0.616648\pi\) | ||
0.358313 | − | 0.933601i | \(-0.383352\pi\) | |||||||
\(72\) | −29.3273 | + | 65.7564i | −0.407323 | + | 0.913284i | ||||
\(73\) | 24.6995 | 0.338349 | 0.169175 | − | 0.985586i | \(-0.445890\pi\) | ||||
0.169175 | + | 0.985586i | \(0.445890\pi\) | |||||||
\(74\) | −1.20184 | − | 15.8279i | −0.0162411 | − | 0.213890i | ||||
\(75\) | −63.2636 | − | 3.90460i | −0.843515 | − | 0.0520614i | ||||
\(76\) | −81.1738 | + | 12.3989i | −1.06808 | + | 0.163143i | ||||
\(77\) | −105.854 | + | 61.1148i | −1.37473 | + | 0.793699i | ||||
\(78\) | 25.9390 | + | 14.4906i | 0.332551 | + | 0.185777i | ||||
\(79\) | −84.3214 | − | 48.6830i | −1.06736 | − | 0.616241i | −0.139901 | − | 0.990166i | \(-0.544678\pi\) |
−0.927459 | + | 0.373925i | \(0.878012\pi\) | |||||||
\(80\) | −21.3232 | + | 23.1636i | −0.266539 | + | 0.289545i | ||||
\(81\) | −22.1538 | − | 77.9116i | −0.273503 | − | 0.961871i | ||||
\(82\) | −25.5951 | − | 37.4616i | −0.312135 | − | 0.456849i | ||||
\(83\) | 0.187458 | − | 0.324687i | 0.00225853 | − | 0.00391189i | −0.864894 | − | 0.501955i | \(-0.832614\pi\) |
0.867152 | + | 0.498043i | \(0.165948\pi\) | |||||||
\(84\) | −10.8219 | − | 120.010i | −0.128833 | − | 1.42869i | ||||
\(85\) | −8.03267 | + | 4.63767i | −0.0945021 | + | 0.0545608i | ||||
\(86\) | 53.3113 | − | 110.982i | 0.619899 | − | 1.29049i | ||||
\(87\) | −8.69822 | + | 140.932i | −0.0999796 | + | 1.61990i | ||||
\(88\) | 28.4278 | − | 93.1386i | 0.323043 | − | 1.05839i | ||||
\(89\) | −134.821 | −1.51485 | −0.757423 | − | 0.652925i | \(-0.773542\pi\) | ||||
−0.757423 | + | 0.652925i | \(0.773542\pi\) | |||||||
\(90\) | 1.68164 | − | 35.3793i | 0.0186849 | − | 0.393104i | ||||
\(91\) | −49.7252 | −0.546431 | ||||||||
\(92\) | −12.0205 | + | 9.62490i | −0.130658 | + | 0.104618i | ||||
\(93\) | −144.185 | − | 95.5489i | −1.55037 | − | 1.02741i | ||||
\(94\) | 93.0790 | + | 44.7114i | 0.990202 | + | 0.475653i | ||||
\(95\) | 34.9834 | − | 20.1977i | 0.368246 | − | 0.212607i | ||||
\(96\) | 71.5428 | + | 64.0127i | 0.745237 | + | 0.666799i | ||||
\(97\) | 10.8826 | − | 18.8492i | 0.112192 | − | 0.194322i | −0.804462 | − | 0.594004i | \(-0.797546\pi\) |
0.916654 | + | 0.399682i | \(0.130880\pi\) | |||||||
\(98\) | 58.4784 | + | 85.5905i | 0.596719 | + | 0.873372i | ||||
\(99\) | 42.6938 | + | 100.891i | 0.431251 | + | 1.01911i | ||||
\(100\) | −30.7204 | + | 78.7308i | −0.307204 | + | 0.787308i | ||||
\(101\) | −40.3177 | − | 23.2774i | −0.399185 | − | 0.230470i | 0.286947 | − | 0.957946i | \(-0.407360\pi\) |
−0.686132 | + | 0.727477i | \(0.740693\pi\) | |||||||
\(102\) | 14.4862 | + | 24.2907i | 0.142021 | + | 0.238144i | ||||
\(103\) | 87.3356 | − | 50.4232i | 0.847918 | − | 0.489546i | −0.0120298 | − | 0.999928i | \(-0.503829\pi\) |
0.859948 | + | 0.510382i | \(0.170496\pi\) | |||||||
\(104\) | 28.9608 | − | 27.0316i | 0.278469 | − | 0.259920i | ||||
\(105\) | 26.4197 | + | 53.0634i | 0.251616 | + | 0.505365i | ||||
\(106\) | 7.72485 | + | 101.734i | 0.0728760 | + | 0.959752i | ||||
\(107\) | −12.9467 | −0.120997 | −0.0604986 | − | 0.998168i | \(-0.519269\pi\) | ||||
−0.0604986 | + | 0.998168i | \(0.519269\pi\) | |||||||
\(108\) | −107.940 | − | 3.60121i | −0.999444 | − | 0.0333445i | ||||
\(109\) | − | 117.693i | − | 1.07975i | −0.841745 | − | 0.539875i | \(-0.818471\pi\) | ||
0.841745 | − | 0.539875i | \(-0.181529\pi\) | |||||||
\(110\) | 3.62707 | + | 47.7672i | 0.0329733 | + | 0.434248i | ||||
\(111\) | 21.3144 | − | 10.6122i | 0.192022 | − | 0.0956055i | ||||
\(112\) | −156.774 | − | 35.1323i | −1.39977 | − | 0.313681i | ||||
\(113\) | 14.6904 | + | 25.4446i | 0.130004 | + | 0.225173i | 0.923678 | − | 0.383170i | \(-0.125168\pi\) |
−0.793674 | + | 0.608343i | \(0.791834\pi\) | |||||||
\(114\) | −63.0891 | − | 105.789i | −0.553413 | − | 0.927974i | ||||
\(115\) | 3.78766 | − | 6.56043i | 0.0329362 | − | 0.0570472i | ||||
\(116\) | 175.388 | + | 68.4354i | 1.51196 | + | 0.589960i | ||||
\(117\) | −5.48057 | + | 44.2299i | −0.0468425 | + | 0.378033i | ||||
\(118\) | 37.7053 | + | 55.1865i | 0.319537 | + | 0.467682i | ||||
\(119\) | −40.9910 | − | 23.6661i | −0.344462 | − | 0.198875i | ||||
\(120\) | −44.2336 | − | 16.5427i | −0.368613 | − | 0.137856i | ||||
\(121\) | −13.5854 | − | 23.5307i | −0.112276 | − | 0.194468i | ||||
\(122\) | 82.7114 | + | 39.7312i | 0.677962 | + | 0.325666i | ||||
\(123\) | 37.5940 | − | 56.7299i | 0.305642 | − | 0.461219i | ||||
\(124\) | −180.028 | + | 144.150i | −1.45184 | + | 1.16250i | ||||
\(125\) | − | 90.7678i | − | 0.726143i | ||||||
\(126\) | 160.644 | − | 82.8391i | 1.27496 | − | 0.657453i | ||||
\(127\) | 112.463i | 0.885532i | 0.896637 | + | 0.442766i | \(0.146003\pi\) | ||||
−0.896637 | + | 0.442766i | \(0.853997\pi\) | |||||||
\(128\) | 110.407 | − | 64.7642i | 0.862551 | − | 0.505970i | ||||
\(129\) | 184.333 | + | 11.3769i | 1.42894 | + | 0.0881933i | ||||
\(130\) | −8.43842 | + | 17.5669i | −0.0649109 | + | 0.135130i | ||||
\(131\) | 89.1863 | + | 154.475i | 0.680812 | + | 1.17920i | 0.974733 | + | 0.223371i | \(0.0717062\pi\) |
−0.293922 | + | 0.955829i | \(0.594961\pi\) | |||||||
\(132\) | 145.480 | − | 13.1187i | 1.10212 | − | 0.0993842i | ||||
\(133\) | 178.521 | + | 103.069i | 1.34226 | + | 0.774956i | ||||
\(134\) | 60.7482 | + | 88.9125i | 0.453344 | + | 0.663526i | ||||
\(135\) | 50.1110 | − | 17.6514i | 0.371192 | − | 0.130751i | ||||
\(136\) | 36.7392 | − | 8.49999i | 0.270141 | − | 0.0624999i | ||||
\(137\) | 64.0732 | − | 110.978i | 0.467688 | − | 0.810059i | −0.531631 | − | 0.846976i | \(-0.678420\pi\) |
0.999318 | + | 0.0369173i | \(0.0117538\pi\) | |||||||
\(138\) | −20.1653 | − | 11.2652i | −0.146126 | − | 0.0816318i | ||||
\(139\) | −96.3171 | − | 166.826i | −0.692929 | − | 1.20019i | −0.970874 | − | 0.239591i | \(-0.922987\pi\) |
0.277945 | − | 0.960597i | \(-0.410347\pi\) | |||||||
\(140\) | 78.1294 | − | 11.9339i | 0.558067 | − | 0.0852418i | ||||
\(141\) | −9.54166 | + | 154.597i | −0.0676713 | + | 1.09643i | ||||
\(142\) | −20.0751 | − | 264.382i | −0.141374 | − | 1.86184i | ||||
\(143\) | − | 60.2786i | − | 0.421529i | ||||||
\(144\) | −48.5288 | + | 135.576i | −0.337006 | + | 0.941503i | ||||
\(145\) | −92.6146 | −0.638722 | ||||||||
\(146\) | 49.2572 | − | 3.74020i | 0.337378 | − | 0.0256178i | ||||
\(147\) | −85.8928 | + | 129.614i | −0.584305 | + | 0.881725i | ||||
\(148\) | −4.79357 | − | 31.3829i | −0.0323890 | − | 0.212046i | ||||
\(149\) | −31.9061 | + | 18.4210i | −0.214135 | + | 0.123631i | −0.603231 | − | 0.797566i | \(-0.706120\pi\) |
0.389097 | + | 0.921197i | \(0.372787\pi\) | |||||||
\(150\) | −126.755 | + | 1.79311i | −0.845036 | + | 0.0119541i | ||||
\(151\) | −1.53781 | − | 0.887854i | −0.0101842 | − | 0.00587983i | 0.494899 | − | 0.868950i | \(-0.335205\pi\) |
−0.505083 | + | 0.863071i | \(0.668538\pi\) | |||||||
\(152\) | −160.004 | + | 37.0186i | −1.05266 | + | 0.243543i | ||||
\(153\) | −25.5686 | + | 33.8524i | −0.167115 | + | 0.221258i | ||||
\(154\) | −201.846 | + | 137.908i | −1.31069 | + | 0.895507i | ||||
\(155\) | 56.7268 | − | 98.2538i | 0.365980 | − | 0.633895i | ||||
\(156\) | 53.9233 | + | 24.9701i | 0.345662 | + | 0.160065i | ||||
\(157\) | 28.4676 | − | 16.4358i | 0.181322 | − | 0.104686i | −0.406592 | − | 0.913610i | \(-0.633283\pi\) |
0.587914 | + | 0.808924i | \(0.299949\pi\) | |||||||
\(158\) | −175.531 | − | 84.3179i | −1.11095 | − | 0.533657i | ||||
\(159\) | −136.999 | + | 68.2101i | −0.861626 | + | 0.428994i | ||||
\(160\) | −39.0163 | + | 49.4232i | −0.243852 | + | 0.308895i | ||||
\(161\) | 38.6571 | 0.240106 | ||||||||
\(162\) | −55.9784 | − | 152.021i | −0.345546 | − | 0.938402i | ||||
\(163\) | 26.1023 | 0.160137 | 0.0800686 | − | 0.996789i | \(-0.474486\pi\) | ||||
0.0800686 | + | 0.996789i | \(0.474486\pi\) | |||||||
\(164\) | −56.7160 | − | 70.8324i | −0.345829 | − | 0.431905i | ||||
\(165\) | −64.3252 | + | 32.0268i | −0.389850 | + | 0.194102i | ||||
\(166\) | 0.324673 | − | 0.675896i | 0.00195586 | − | 0.00407166i | ||||
\(167\) | −113.333 | + | 65.4331i | −0.678643 | + | 0.391815i | −0.799344 | − | 0.600874i | \(-0.794819\pi\) |
0.120700 | + | 0.992689i | \(0.461486\pi\) | |||||||
\(168\) | −39.7547 | − | 237.693i | −0.236635 | − | 1.41484i | ||||
\(169\) | −72.2388 | + | 125.121i | −0.427448 | + | 0.740362i | ||||
\(170\) | −15.3170 | + | 10.4651i | −0.0900998 | + | 0.0615593i | ||||
\(171\) | 111.355 | − | 147.432i | 0.651196 | − | 0.862174i | ||||
\(172\) | 89.5108 | − | 229.400i | 0.520412 | − | 1.33372i | ||||
\(173\) | 159.107 | + | 91.8606i | 0.919695 | + | 0.530986i | 0.883538 | − | 0.468360i | \(-0.155155\pi\) |
0.0361571 | + | 0.999346i | \(0.488488\pi\) | |||||||
\(174\) | 3.99450 | + | 282.371i | 0.0229569 | + | 1.62282i | ||||
\(175\) | 183.732 | − | 106.078i | 1.04990 | − | 0.606158i | ||||
\(176\) | 42.5885 | − | 190.047i | 0.241980 | − | 1.07981i | ||||
\(177\) | −55.3815 | + | 83.5715i | −0.312890 | + | 0.472155i | ||||
\(178\) | −268.869 | + | 20.4157i | −1.51050 | + | 0.114695i | ||||
\(179\) | −24.4312 | −0.136487 | −0.0682435 | − | 0.997669i | \(-0.521739\pi\) | ||||
−0.0682435 | + | 0.997669i | \(0.521739\pi\) | |||||||
\(180\) | −2.00380 | − | 70.8102i | −0.0111322 | − | 0.393390i | ||||
\(181\) | − | 101.654i | − | 0.561622i | −0.959763 | − | 0.280811i | \(-0.909397\pi\) | ||
0.959763 | − | 0.280811i | \(-0.0906034\pi\) | |||||||
\(182\) | −99.1650 | + | 7.52981i | −0.544863 | + | 0.0413726i | ||||
\(183\) | −8.47886 | + | 137.377i | −0.0463326 | + | 0.750696i | ||||
\(184\) | −22.5145 | + | 21.0148i | −0.122361 | + | 0.114211i | ||||
\(185\) | 7.80869 | + | 13.5250i | 0.0422091 | + | 0.0731084i | ||||
\(186\) | −302.011 | − | 168.716i | −1.62371 | − | 0.907074i | ||||
\(187\) | 28.6889 | − | 49.6906i | 0.153417 | − | 0.265725i | ||||
\(188\) | 192.394 | + | 75.0713i | 1.02337 | + | 0.399315i | ||||
\(189\) | 205.867 | + | 176.420i | 1.08924 | + | 0.933440i | ||||
\(190\) | 66.7074 | − | 45.5768i | 0.351092 | − | 0.239878i | ||||
\(191\) | −25.0116 | − | 14.4405i | −0.130951 | − | 0.0756046i | 0.433093 | − | 0.901349i | \(-0.357422\pi\) |
−0.564044 | + | 0.825744i | \(0.690755\pi\) | |||||||
\(192\) | 152.368 | + | 116.824i | 0.793584 | + | 0.608460i | ||||
\(193\) | −142.662 | − | 247.098i | −0.739181 | − | 1.28030i | −0.952864 | − | 0.303396i | \(-0.901879\pi\) |
0.213683 | − | 0.976903i | \(-0.431454\pi\) | |||||||
\(194\) | 18.8484 | − | 39.2382i | 0.0971569 | − | 0.202259i | ||||
\(195\) | −29.1773 | − | 1.80081i | −0.149627 | − | 0.00923491i | ||||
\(196\) | 129.582 | + | 161.834i | 0.661132 | + | 0.825685i | ||||
\(197\) | − | 191.958i | − | 0.974405i | −0.873289 | − | 0.487202i | \(-0.838017\pi\) | ||
0.873289 | − | 0.487202i | \(-0.161983\pi\) | |||||||
\(198\) | 100.420 | + | 194.739i | 0.507173 | + | 0.983528i | ||||
\(199\) | 33.7936i | 0.169817i | 0.996389 | + | 0.0849085i | \(0.0270598\pi\) | ||||
−0.996389 | + | 0.0849085i | \(0.972940\pi\) | |||||||
\(200\) | −49.3423 | + | 161.662i | −0.246712 | + | 0.808308i | ||||
\(201\) | −89.2266 | + | 134.644i | −0.443914 | + | 0.669873i | ||||
\(202\) | −83.9288 | − | 40.3160i | −0.415489 | − | 0.199584i | ||||
\(203\) | −236.308 | − | 409.297i | −1.16408 | − | 2.01624i | ||||
\(204\) | 32.5674 | + | 46.2482i | 0.159644 | + | 0.226707i | ||||
\(205\) | 38.6582 | + | 22.3193i | 0.188576 | + | 0.108875i | ||||
\(206\) | 166.534 | − | 113.782i | 0.808419 | − | 0.552340i | ||||
\(207\) | 4.26067 | − | 34.3849i | 0.0205830 | − | 0.166111i | ||||
\(208\) | 53.6619 | − | 58.2936i | 0.257990 | − | 0.280258i | ||||
\(209\) | −124.944 | + | 216.409i | −0.597818 | + | 1.03545i | ||||
\(210\) | 60.7230 | + | 101.821i | 0.289157 | + | 0.484864i | ||||
\(211\) | 129.688 | + | 224.627i | 0.614636 | + | 1.06458i | 0.990448 | + | 0.137885i | \(0.0440306\pi\) |
−0.375812 | + | 0.926696i | \(0.622636\pi\) | |||||||
\(212\) | 30.8107 | + | 201.714i | 0.145334 | + | 0.951480i | ||||
\(213\) | 356.027 | − | 177.262i | 1.67149 | − | 0.832215i | ||||
\(214\) | −25.8191 | + | 1.96050i | −0.120650 | + | 0.00916120i | ||||
\(215\) | 121.136i | 0.563425i | ||||||||
\(216\) | −215.806 | + | 9.16342i | −0.999100 | + | 0.0424232i | ||||
\(217\) | 578.957 | 2.66801 | ||||||||
\(218\) | −17.8220 | − | 234.710i | −0.0817524 | − | 1.07665i | ||||
\(219\) | 33.0258 | + | 66.3316i | 0.150803 | + | 0.302884i | ||||
\(220\) | 14.4666 | + | 94.7110i | 0.0657574 | + | 0.430505i | ||||
\(221\) | 20.2150 | − | 11.6712i | 0.0914708 | − | 0.0528107i | ||||
\(222\) | 40.8995 | − | 24.3911i | 0.184232 | − | 0.109870i | ||||
\(223\) | −107.192 | − | 61.8873i | −0.480681 | − | 0.277521i | 0.240019 | − | 0.970768i | \(-0.422846\pi\) |
−0.720700 | + | 0.693247i | \(0.756180\pi\) | |||||||
\(224\) | −317.969 | − | 46.3228i | −1.41950 | − | 0.206798i | ||||
\(225\) | −74.1041 | − | 175.118i | −0.329351 | − | 0.778303i | ||||
\(226\) | 33.1495 | + | 48.5185i | 0.146679 | + | 0.214684i | ||||
\(227\) | −127.486 | + | 220.813i | −0.561614 | + | 0.972745i | 0.435741 | + | 0.900072i | \(0.356486\pi\) |
−0.997356 | + | 0.0726729i | \(0.976847\pi\) | |||||||
\(228\) | −141.835 | − | 201.417i | −0.622085 | − | 0.883409i | ||||
\(229\) | −216.736 | + | 125.132i | −0.946444 | + | 0.546430i | −0.891975 | − | 0.452085i | \(-0.850680\pi\) |
−0.0544698 | + | 0.998515i | \(0.517347\pi\) | |||||||
\(230\) | 6.56015 | − | 13.6568i | 0.0285224 | − | 0.0593772i | ||||
\(231\) | −305.664 | − | 202.559i | −1.32322 | − | 0.876878i | ||||
\(232\) | 360.131 | + | 109.919i | 1.55229 | + | 0.473790i | ||||
\(233\) | 231.979 | 0.995619 | 0.497810 | − | 0.867286i | \(-0.334138\pi\) | ||||
0.497810 | + | 0.867286i | \(0.334138\pi\) | |||||||
\(234\) | −4.23202 | + | 89.0357i | −0.0180856 | + | 0.380494i | ||||
\(235\) | −101.595 | −0.432320 | ||||||||
\(236\) | 83.5510 | + | 104.347i | 0.354030 | + | 0.442146i | ||||
\(237\) | 17.9939 | − | 291.543i | 0.0759237 | − | 1.23014i | ||||
\(238\) | −85.3303 | − | 40.9892i | −0.358531 | − | 0.172224i | ||||
\(239\) | −209.313 | + | 120.847i | −0.875786 | + | 0.505635i | −0.869267 | − | 0.494344i | \(-0.835408\pi\) |
−0.00651903 | + | 0.999979i | \(0.502075\pi\) | |||||||
\(240\) | −90.7182 | − | 26.2922i | −0.377992 | − | 0.109551i | ||||
\(241\) | −115.503 | + | 200.057i | −0.479266 | + | 0.830113i | −0.999717 | − | 0.0237786i | \(-0.992430\pi\) |
0.520451 | + | 0.853891i | \(0.325764\pi\) | |||||||
\(242\) | −30.6561 | − | 44.8690i | −0.126678 | − | 0.185409i | ||||
\(243\) | 179.613 | − | 163.671i | 0.739149 | − | 0.673542i | ||||
\(244\) | 170.964 | + | 66.7095i | 0.700674 | + | 0.273400i | ||||
\(245\) | −88.3243 | − | 50.9941i | −0.360507 | − | 0.208139i | ||||
\(246\) | 66.3816 | − | 118.827i | 0.269844 | − | 0.483036i | ||||
\(247\) | −88.0392 | + | 50.8294i | −0.356434 | + | 0.205787i | ||||
\(248\) | −337.194 | + | 314.733i | −1.35965 | + | 1.26908i | ||||
\(249\) | 1.12261 | + | 0.0692871i | 0.00450848 | + | 0.000278261i | ||||
\(250\) | −13.7448 | − | 181.015i | −0.0549792 | − | 0.724058i | ||||
\(251\) | −78.5229 | −0.312840 | −0.156420 | − | 0.987691i | \(-0.549995\pi\) | ||||
−0.156420 | + | 0.987691i | \(0.549995\pi\) | |||||||
\(252\) | 307.823 | − | 189.529i | 1.22152 | − | 0.752098i | ||||
\(253\) | 46.8615i | 0.185223i | ||||||||
\(254\) | 17.0300 | + | 224.280i | 0.0670473 | + | 0.882991i | ||||
\(255\) | −23.1952 | − | 15.3711i | −0.0909615 | − | 0.0602787i | ||||
\(256\) | 210.372 | − | 145.875i | 0.821766 | − | 0.569825i | ||||
\(257\) | 130.836 | + | 226.615i | 0.509090 | + | 0.881770i | 0.999945 | + | 0.0105283i | \(0.00335132\pi\) |
−0.490855 | + | 0.871242i | \(0.663315\pi\) | |||||||
\(258\) | 369.330 | − | 5.22464i | 1.43151 | − | 0.0202506i | ||||
\(259\) | −39.8480 | + | 69.0187i | −0.153853 | + | 0.266481i | ||||
\(260\) | −14.1683 | + | 36.3107i | −0.0544934 | + | 0.139657i | ||||
\(261\) | −390.108 | + | 165.081i | −1.49467 | + | 0.632493i | ||||
\(262\) | 201.253 | + | 294.558i | 0.768140 | + | 1.12427i | ||||
\(263\) | 275.353 | + | 158.975i | 1.04697 | + | 0.604469i | 0.921800 | − | 0.387667i | \(-0.126719\pi\) |
0.125171 | + | 0.992135i | \(0.460052\pi\) | |||||||
\(264\) | 288.139 | − | 48.1919i | 1.09143 | − | 0.182545i | ||||
\(265\) | −50.1904 | − | 86.9323i | −0.189398 | − | 0.328046i | ||||
\(266\) | 371.625 | + | 178.514i | 1.39709 | + | 0.671104i | ||||
\(267\) | −180.270 | − | 362.069i | −0.675169 | − | 1.35606i | ||||
\(268\) | 134.611 | + | 168.116i | 0.502281 | + | 0.627297i | ||||
\(269\) | − | 135.043i | − | 0.502020i | −0.967985 | − | 0.251010i | \(-0.919237\pi\) | ||
0.967985 | − | 0.251010i | \(-0.0807627\pi\) | |||||||
\(270\) | 97.2613 | − | 42.7897i | 0.360227 | − | 0.158480i | ||||
\(271\) | 161.415i | 0.595628i | 0.954624 | + | 0.297814i | \(0.0962575\pi\) | ||||
−0.954624 | + | 0.297814i | \(0.903742\pi\) | |||||||
\(272\) | 71.9803 | − | 22.5145i | 0.264633 | − | 0.0827740i | ||||
\(273\) | −66.4878 | − | 133.539i | −0.243545 | − | 0.489155i | ||||
\(274\) | 110.973 | − | 231.022i | 0.405012 | − | 0.843144i | ||||
\(275\) | 128.591 | + | 222.726i | 0.467603 | + | 0.809912i | ||||
\(276\) | −41.9208 | − | 19.4121i | −0.151887 | − | 0.0703337i | ||||
\(277\) | −367.934 | − | 212.427i | −1.32828 | − | 0.766884i | −0.343248 | − | 0.939245i | \(-0.611527\pi\) |
−0.985034 | + | 0.172361i | \(0.944860\pi\) | |||||||
\(278\) | −217.344 | − | 318.109i | −0.781811 | − | 1.14428i | ||||
\(279\) | 63.8109 | − | 514.974i | 0.228713 | − | 1.84578i | ||||
\(280\) | 154.003 | − | 35.6302i | 0.550011 | − | 0.127251i | ||||
\(281\) | 80.5450 | − | 139.508i | 0.286637 | − | 0.496470i | −0.686368 | − | 0.727255i | \(-0.740796\pi\) |
0.973005 | + | 0.230785i | \(0.0741293\pi\) | |||||||
\(282\) | 4.38183 | + | 309.752i | 0.0155384 | + | 1.09841i | ||||
\(283\) | 182.383 | + | 315.897i | 0.644464 | + | 1.11625i | 0.984425 | + | 0.175805i | \(0.0562530\pi\) |
−0.339960 | + | 0.940440i | \(0.610414\pi\) | |||||||
\(284\) | −80.0697 | − | 524.206i | −0.281936 | − | 1.84580i | ||||
\(285\) | 101.018 | + | 66.9430i | 0.354449 | + | 0.234888i | ||||
\(286\) | −9.12788 | − | 120.211i | −0.0319157 | − | 0.420319i | ||||
\(287\) | 227.792i | 0.793701i | ||||||||
\(288\) | −76.2490 | + | 277.723i | −0.264753 | + | 0.964316i | ||||
\(289\) | −266.781 | −0.923118 | ||||||||
\(290\) | −184.698 | + | 14.0245i | −0.636888 | + | 0.0483602i | ||||
\(291\) | 65.1717 | + | 4.02236i | 0.223958 | + | 0.0138226i | ||||
\(292\) | 97.6653 | − | 14.9179i | 0.334470 | − | 0.0510886i | ||||
\(293\) | 437.041 | − | 252.326i | 1.49161 | − | 0.861180i | 0.491654 | − | 0.870790i | \(-0.336392\pi\) |
0.999954 | + | 0.00961009i | \(0.00305903\pi\) | |||||||
\(294\) | −151.665 | + | 271.490i | −0.515869 | + | 0.923435i | ||||
\(295\) | −56.9492 | − | 32.8796i | −0.193048 | − | 0.111456i | ||||
\(296\) | −14.3119 | − | 61.8597i | −0.0483510 | − | 0.208986i | ||||
\(297\) | −213.862 | + | 249.558i | −0.720076 | + | 0.840264i | ||||
\(298\) | −60.8395 | + | 41.5677i | −0.204159 | + | 0.139489i | ||||
\(299\) | −9.53204 | + | 16.5100i | −0.0318797 | + | 0.0552173i | ||||
\(300\) | −252.512 | + | 22.7703i | −0.841705 | + | 0.0759009i | ||||
\(301\) | −535.344 | + | 309.081i | −1.77855 | + | 1.02685i | ||||
\(302\) | −3.20124 | − | 1.53774i | −0.0106001 | − | 0.00509187i | ||||
\(303\) | 8.60366 | − | 139.399i | 0.0283949 | − | 0.460064i | ||||
\(304\) | −313.484 | + | 98.0537i | −1.03120 | + | 0.322545i | ||||
\(305\) | −90.2790 | −0.295997 | ||||||||
\(306\) | −45.8642 | + | 71.3823i | −0.149883 | + | 0.233276i | ||||
\(307\) | 42.6361 | 0.138880 | 0.0694400 | − | 0.997586i | \(-0.477879\pi\) | ||||
0.0694400 | + | 0.997586i | \(0.477879\pi\) | |||||||
\(308\) | −381.650 | + | 305.590i | −1.23912 | + | 0.992174i | ||||
\(309\) | 252.190 | + | 167.123i | 0.816150 | + | 0.540850i | ||||
\(310\) | 98.2496 | − | 204.533i | 0.316934 | − | 0.659785i | ||||
\(311\) | 170.776 | − | 98.5973i | 0.549117 | − | 0.317033i | −0.199649 | − | 0.979868i | \(-0.563980\pi\) |
0.748766 | + | 0.662834i | \(0.230647\pi\) | |||||||
\(312\) | 111.318 | + | 41.6313i | 0.356789 | + | 0.133434i | ||||
\(313\) | 73.0920 | − | 126.599i | 0.233521 | − | 0.404470i | −0.725321 | − | 0.688411i | \(-0.758309\pi\) |
0.958842 | + | 0.283941i | \(0.0916420\pi\) | |||||||
\(314\) | 54.2829 | − | 37.0880i | 0.172876 | − | 0.118115i | ||||
\(315\) | −107.178 | + | 141.902i | −0.340248 | + | 0.450484i | ||||
\(316\) | −362.822 | − | 141.571i | −1.14817 | − | 0.448011i | ||||
\(317\) | −61.0328 | − | 35.2373i | −0.192533 | − | 0.111159i | 0.400635 | − | 0.916238i | \(-0.368790\pi\) |
−0.593168 | + | 0.805079i | \(0.702123\pi\) | |||||||
\(318\) | −262.882 | + | 156.774i | −0.826672 | + | 0.493000i | ||||
\(319\) | 496.163 | − | 286.460i | 1.55537 | − | 0.897993i | ||||
\(320\) | −70.3245 | + | 104.471i | −0.219764 | + | 0.326471i | ||||
\(321\) | −17.3111 | − | 34.7690i | −0.0539286 | − | 0.108315i | ||||
\(322\) | 77.0923 | − | 5.85378i | 0.239417 | − | 0.0181794i | ||||
\(323\) | −96.7667 | −0.299587 | ||||||||
\(324\) | −134.656 | − | 294.693i | −0.415604 | − | 0.909546i | ||||
\(325\) | 104.626i | 0.321927i | ||||||||
\(326\) | 52.0548 | − | 3.95263i | 0.159677 | − | 0.0121246i | ||||
\(327\) | 316.069 | − | 157.368i | 0.966573 | − | 0.481246i | ||||
\(328\) | −123.832 | − | 132.670i | −0.377538 | − | 0.404481i | ||||
\(329\) | −259.221 | − | 448.985i | −0.787907 | − | 1.36470i | ||||
\(330\) | −123.431 | + | 73.6104i | −0.374034 | + | 0.223062i | ||||
\(331\) | 54.0633 | − | 93.6405i | 0.163333 | − | 0.282902i | −0.772729 | − | 0.634736i | \(-0.781109\pi\) |
0.936062 | + | 0.351835i | \(0.114442\pi\) | |||||||
\(332\) | 0.545133 | − | 1.39708i | 0.00164197 | − | 0.00420806i | ||||
\(333\) | 56.9992 | + | 43.0512i | 0.171169 | + | 0.129283i | ||||
\(334\) | −216.108 | + | 147.652i | −0.647029 | + | 0.442073i | ||||
\(335\) | −91.7525 | − | 52.9733i | −0.273888 | − | 0.158129i | ||||
\(336\) | −115.274 | − | 468.000i | −0.343079 | − | 1.39286i | ||||
\(337\) | −168.695 | − | 292.189i | −0.500580 | − | 0.867030i | −1.00000 | 0.000669822i | \(-0.999787\pi\) | |
0.499420 | − | 0.866360i | \(-0.333547\pi\) | |||||||
\(338\) | −125.116 | + | 260.463i | −0.370166 | + | 0.770601i | ||||
\(339\) | −48.6899 | + | 73.4738i | −0.143628 | + | 0.216737i | ||||
\(340\) | −28.9613 | + | 23.1895i | −0.0851802 | + | 0.0682044i | ||||
\(341\) | 701.831i | 2.05816i | ||||||||
\(342\) | 199.745 | − | 310.880i | 0.584048 | − | 0.909004i | ||||
\(343\) | − | 28.4187i | − | 0.0828534i | ||||||
\(344\) | 143.770 | − | 471.038i | 0.417936 | − | 1.36930i | ||||
\(345\) | 22.6828 | + | 1.39997i | 0.0657473 | + | 0.00405789i | ||||
\(346\) | 331.211 | + | 159.100i | 0.957258 | + | 0.459828i | ||||
\(347\) | 12.3560 | + | 21.4012i | 0.0356081 | + | 0.0616750i | 0.883280 | − | 0.468845i | \(-0.155330\pi\) |
−0.847672 | + | 0.530520i | \(0.821997\pi\) | |||||||
\(348\) | 50.7250 | + | 562.516i | 0.145762 | + | 1.61643i | ||||
\(349\) | −12.1159 | − | 6.99512i | −0.0347160 | − | 0.0200433i | 0.482542 | − | 0.875873i | \(-0.339714\pi\) |
−0.517258 | + | 0.855830i | \(0.673047\pi\) | |||||||
\(350\) | 350.346 | − | 239.368i | 1.00099 | − | 0.683910i | ||||
\(351\) | −126.109 | + | 44.4216i | −0.359286 | + | 0.126557i | ||||
\(352\) | 56.1540 | − | 385.453i | 0.159528 | − | 1.09504i | ||||
\(353\) | 157.831 | − | 273.371i | 0.447113 | − | 0.774422i | −0.551084 | − | 0.834450i | \(-0.685786\pi\) |
0.998197 | + | 0.0600276i | \(0.0191189\pi\) | |||||||
\(354\) | −97.7899 | + | 175.049i | −0.276243 | + | 0.494490i | ||||
\(355\) | 130.433 | + | 225.916i | 0.367417 | + | 0.636384i | ||||
\(356\) | −533.102 | + | 81.4286i | −1.49748 | + | 0.228732i | ||||
\(357\) | 8.74733 | − | 141.727i | 0.0245023 | − | 0.396995i | ||||
\(358\) | −48.7221 | + | 3.69957i | −0.136095 | + | 0.0103340i | ||||
\(359\) | 629.848i | 1.75445i | 0.480078 | + | 0.877226i | \(0.340608\pi\) | ||||
−0.480078 | + | 0.877226i | \(0.659392\pi\) | |||||||
\(360\) | −14.7188 | − | 140.910i | −0.0408855 | − | 0.391418i | ||||
\(361\) | 60.4319 | 0.167401 | ||||||||
\(362\) | −15.3932 | − | 202.724i | −0.0425227 | − | 0.560010i | ||||
\(363\) | 45.0275 | − | 67.9472i | 0.124043 | − | 0.187182i | ||||
\(364\) | −196.621 | + | 30.0328i | −0.540166 | + | 0.0825076i | ||||
\(365\) | −42.0907 | + | 24.3011i | −0.115317 | + | 0.0665783i | ||||
\(366\) | 3.89376 | + | 275.250i | 0.0106387 | + | 0.752049i | ||||
\(367\) | 224.072 | + | 129.368i | 0.610550 | + | 0.352501i | 0.773181 | − | 0.634186i | \(-0.218665\pi\) |
−0.162631 | + | 0.986687i | \(0.551998\pi\) | |||||||
\(368\) | −41.7175 | + | 45.3183i | −0.113363 | + | 0.123147i | ||||
\(369\) | 202.618 | + | 25.1066i | 0.549099 | + | 0.0680395i | ||||
\(370\) | 17.6206 | + | 25.7900i | 0.0476233 | + | 0.0697027i | ||||
\(371\) | 256.123 | − | 443.618i | 0.690359 | − | 1.19574i | ||||
\(372\) | −627.836 | − | 290.730i | −1.68773 | − | 0.781532i | ||||
\(373\) | −107.907 | + | 62.3003i | −0.289296 | + | 0.167025i | −0.637624 | − | 0.770348i | \(-0.720083\pi\) |
0.348329 | + | 0.937373i | \(0.386749\pi\) | |||||||
\(374\) | 49.6885 | − | 103.440i | 0.132857 | − | 0.276578i | ||||
\(375\) | 243.761 | − | 121.366i | 0.650030 | − | 0.323643i | ||||
\(376\) | 395.052 | + | 120.578i | 1.05067 | + | 0.320685i | ||||
\(377\) | 233.074 | 0.618234 | ||||||||
\(378\) | 437.267 | + | 320.654i | 1.15679 | + | 0.848290i | ||||
\(379\) | −154.148 | −0.406724 | −0.203362 | − | 0.979104i | \(-0.565187\pi\) | ||||
−0.203362 | + | 0.979104i | \(0.565187\pi\) | |||||||
\(380\) | 126.130 | − | 100.993i | 0.331922 | − | 0.265772i | ||||
\(381\) | −302.023 | + | 150.374i | −0.792712 | + | 0.394683i | ||||
\(382\) | −52.0664 | − | 25.0106i | −0.136299 | − | 0.0654727i | ||||
\(383\) | 344.678 | − | 199.000i | 0.899944 | − | 0.519583i | 0.0227617 | − | 0.999741i | \(-0.492754\pi\) |
0.877182 | + | 0.480158i | \(0.159421\pi\) | |||||||
\(384\) | 321.552 | + | 209.905i | 0.837375 | + | 0.546628i | ||||
\(385\) | 120.258 | − | 208.293i | 0.312358 | − | 0.541020i | ||||
\(386\) | −321.922 | − | 471.174i | −0.833996 | − | 1.22066i | ||||
\(387\) | 215.919 | + | 510.247i | 0.557930 | + | 1.31847i | ||||
\(388\) | 31.6469 | − | 81.1053i | 0.0815642 | − | 0.209034i | ||||
\(389\) | −279.310 | − | 161.260i | −0.718020 | − | 0.414549i | 0.0960032 | − | 0.995381i | \(-0.469394\pi\) |
−0.814024 | + | 0.580832i | \(0.802727\pi\) | |||||||
\(390\) | −58.4597 | + | 0.826986i | −0.149897 | + | 0.00212048i | ||||
\(391\) | −15.7155 | + | 9.07333i | −0.0401930 | + | 0.0232054i | ||||
\(392\) | 282.926 | + | 303.117i | 0.721751 | + | 0.773258i | ||||
\(393\) | −295.599 | + | 446.063i | −0.752160 | + | 1.13502i | ||||
\(394\) | −29.0678 | − | 382.813i | −0.0737762 | − | 0.971608i | ||||
\(395\) | 191.591 | 0.485040 | ||||||||
\(396\) | 229.753 | + | 373.153i | 0.580185 | + | 0.942305i | ||||
\(397\) | − | 286.878i | − | 0.722615i | −0.932447 | − | 0.361308i | \(-0.882330\pi\) | ||
0.932447 | − | 0.361308i | \(-0.117670\pi\) | |||||||
\(398\) | 5.11730 | + | 67.3931i | 0.0128575 | + | 0.169329i | ||||
\(399\) | −38.0958 | + | 617.241i | −0.0954782 | + | 1.54697i | ||||
\(400\) | −73.9213 | + | 329.867i | −0.184803 | + | 0.824667i | ||||
\(401\) | 296.251 | + | 513.122i | 0.738781 | + | 1.27961i | 0.953044 | + | 0.302831i | \(0.0979317\pi\) |
−0.214263 | + | 0.976776i | \(0.568735\pi\) | |||||||
\(402\) | −157.552 | + | 282.027i | −0.391921 | + | 0.701560i | ||||
\(403\) | −142.759 | + | 247.266i | −0.354240 | + | 0.613562i | ||||
\(404\) | −173.481 | − | 67.6913i | −0.429408 | − | 0.167553i | ||||
\(405\) | 114.407 | + | 110.974i | 0.282487 | + | 0.274009i | ||||
\(406\) | −533.238 | − | 780.460i | −1.31339 | − | 1.92232i | ||||
\(407\) | −83.6668 | − | 48.3050i | −0.205569 | − | 0.118686i | ||||
\(408\) | 71.9512 | + | 87.2994i | 0.176351 | + | 0.213969i | ||||
\(409\) | 258.131 | + | 447.095i | 0.631126 | + | 1.09314i | 0.987322 | + | 0.158731i | \(0.0507403\pi\) |
−0.356196 | + | 0.934411i | \(0.615926\pi\) | |||||||
\(410\) | 80.4742 | + | 38.6566i | 0.196279 | + | 0.0942843i | ||||
\(411\) | 383.709 | + | 23.6823i | 0.933599 | + | 0.0576213i | ||||
\(412\) | 314.883 | − | 252.129i | 0.764278 | − | 0.611963i | ||||
\(413\) | − | 335.571i | − | 0.812522i | ||||||
\(414\) | 3.29004 | − | 69.2176i | 0.00794695 | − | 0.167192i | ||||
\(415\) | 0.737736i | 0.00177768i | ||||||||
\(416\) | 98.1884 | − | 124.378i | 0.236030 | − | 0.298987i | ||||
\(417\) | 319.233 | − | 481.728i | 0.765547 | − | 1.15522i | ||||
\(418\) | −216.400 | + | 450.496i | −0.517704 | + | 1.07774i | ||||
\(419\) | −155.891 | − | 270.011i | −0.372054 | − | 0.644417i | 0.617827 | − | 0.786314i | \(-0.288013\pi\) |
−0.989881 | + | 0.141897i | \(0.954680\pi\) | |||||||
\(420\) | 136.516 | + | 193.863i | 0.325038 | + | 0.461579i | ||||
\(421\) | 567.466 | + | 327.627i | 1.34790 | + | 0.778211i | 0.987952 | − | 0.154761i | \(-0.0494608\pi\) |
0.359949 | + | 0.932972i | \(0.382794\pi\) | |||||||
\(422\) | 292.647 | + | 428.325i | 0.693476 | + | 1.01499i | ||||
\(423\) | −427.936 | + | 181.088i | −1.01167 | + | 0.428104i | ||||
\(424\) | 91.9897 | + | 397.604i | 0.216957 | + | 0.937745i | ||||
\(425\) | −49.7956 | + | 86.2485i | −0.117166 | + | 0.202938i | ||||
\(426\) | 683.167 | − | 407.418i | 1.60368 | − | 0.956381i | ||||
\(427\) | −230.348 | − | 398.975i | −0.539457 | − | 0.934367i | ||||
\(428\) | −51.1931 | + | 7.81948i | −0.119610 | + | 0.0182698i | ||||
\(429\) | 161.881 | − | 80.5987i | 0.377345 | − | 0.187876i | ||||
\(430\) | 18.3435 | + | 241.577i | 0.0426592 | + | 0.561808i | ||||
\(431\) | − | 204.753i | − | 0.475064i | −0.971380 | − | 0.237532i | \(-0.923662\pi\) | ||
0.971380 | − | 0.237532i | \(-0.0763384\pi\) | |||||||
\(432\) | −428.985 | + | 50.9533i | −0.993020 | + | 0.117947i | ||||
\(433\) | −561.451 | −1.29665 | −0.648327 | − | 0.761362i | \(-0.724531\pi\) | ||||
−0.648327 | + | 0.761362i | \(0.724531\pi\) | |||||||
\(434\) | 1154.59 | − | 87.6705i | 2.66035 | − | 0.202006i | ||||
\(435\) | −123.835 | − | 248.721i | −0.284679 | − | 0.571772i | ||||
\(436\) | −71.0835 | − | 465.374i | −0.163035 | − | 1.06737i | ||||
\(437\) | 68.4429 | − | 39.5155i | 0.156620 | − | 0.0904246i | ||||
\(438\) | 75.9065 | + | 127.281i | 0.173302 | + | 0.290597i | ||||
\(439\) | −261.544 | − | 151.002i | −0.595771 | − | 0.343969i | 0.171605 | − | 0.985166i | \(-0.445105\pi\) |
−0.767376 | + | 0.641197i | \(0.778438\pi\) | |||||||
\(440\) | 43.1921 | + | 186.688i | 0.0981639 | + | 0.424290i | ||||
\(441\) | −462.931 | − | 57.3623i | −1.04973 | − | 0.130073i | ||||
\(442\) | 38.5467 | − | 26.3364i | 0.0872097 | − | 0.0595847i | ||||
\(443\) | −228.326 | + | 395.472i | −0.515408 | + | 0.892713i | 0.484432 | + | 0.874829i | \(0.339026\pi\) |
−0.999840 | + | 0.0178842i | \(0.994307\pi\) | |||||||
\(444\) | 77.8706 | − | 54.8355i | 0.175384 | − | 0.123503i | ||||
\(445\) | 229.750 | − | 132.646i | 0.516293 | − | 0.298082i | ||||
\(446\) | −223.140 | − | 107.187i | −0.500314 | − | 0.240330i | ||||
\(447\) | −92.1321 | − | 61.0544i | −0.206112 | − | 0.136587i | ||||
\(448\) | −641.127 | − | 44.2301i | −1.43109 | − | 0.0987279i | ||||
\(449\) | 418.640 | 0.932384 | 0.466192 | − | 0.884684i | \(-0.345626\pi\) | ||||
0.466192 | + | 0.884684i | \(0.345626\pi\) | |||||||
\(450\) | −174.301 | − | 338.010i | −0.387335 | − | 0.751133i | ||||
\(451\) | −276.137 | −0.612278 | ||||||||
\(452\) | 73.4558 | + | 91.7387i | 0.162513 | + | 0.202962i | ||||
\(453\) | 0.328163 | − | 5.31701i | 0.000724422 | − | 0.0117373i | ||||
\(454\) | −220.804 | + | 459.664i | −0.486352 | + | 1.01247i | ||||
\(455\) | 84.7373 | − | 48.9231i | 0.186236 | − | 0.107523i | ||||
\(456\) | −313.357 | − | 380.200i | −0.687186 | − | 0.833772i | ||||
\(457\) | 117.305 | − | 203.178i | 0.256684 | − | 0.444590i | −0.708668 | − | 0.705543i | \(-0.750703\pi\) |
0.965352 | + | 0.260953i | \(0.0840367\pi\) | |||||||
\(458\) | −413.279 | + | 282.366i | −0.902355 | + | 0.616521i | ||||
\(459\) | −125.100 | − | 23.4014i | −0.272549 | − | 0.0509834i | ||||
\(460\) | 11.0146 | − | 28.2285i | 0.0239448 | − | 0.0613663i | ||||
\(461\) | −104.947 | − | 60.5913i | −0.227651 | − | 0.131435i | 0.381837 | − | 0.924230i | \(-0.375292\pi\) |
−0.609488 | + | 0.792795i | \(0.708625\pi\) | |||||||
\(462\) | −640.247 | − | 357.669i | −1.38582 | − | 0.774174i | ||||
\(463\) | −213.979 | + | 123.541i | −0.462157 | + | 0.266827i | −0.712951 | − | 0.701214i | \(-0.752642\pi\) |
0.250794 | + | 0.968041i | \(0.419308\pi\) | |||||||
\(464\) | 734.840 | + | 164.673i | 1.58371 | + | 0.354900i | ||||
\(465\) | 339.715 | + | 20.9670i | 0.730569 | + | 0.0450904i | ||||
\(466\) | 462.627 | − | 35.1282i | 0.992761 | − | 0.0753824i | ||||
\(467\) | −276.509 | −0.592097 | −0.296049 | − | 0.955173i | \(-0.595669\pi\) | ||||
−0.296049 | + | 0.955173i | \(0.595669\pi\) | |||||||
\(468\) | 5.04277 | + | 178.201i | 0.0107751 | + | 0.380772i | ||||
\(469\) | − | 540.649i | − | 1.15277i | ||||||
\(470\) | −202.607 | + | 15.3844i | −0.431079 | + | 0.0327327i | ||||
\(471\) | 82.2031 | + | 54.4747i | 0.174529 | + | 0.115658i | ||||
\(472\) | 182.423 | + | 195.442i | 0.386490 | + | 0.414072i | ||||
\(473\) | −374.678 | − | 648.962i | −0.792132 | − | 1.37201i | ||||
\(474\) | −8.26336 | − | 584.138i | −0.0174333 | − | 1.23236i | ||||
\(475\) | 216.866 | − | 375.624i | 0.456561 | − | 0.790787i | ||||
\(476\) | −176.378 | − | 68.8217i | −0.370541 | − | 0.144583i | ||||
\(477\) | −366.362 | − | 276.712i | −0.768055 | − | 0.580109i | ||||
\(478\) | −399.124 | + | 272.696i | −0.834988 | + | 0.570493i | ||||
\(479\) | −613.932 | − | 354.454i | −1.28169 | − | 0.739987i | −0.304536 | − | 0.952501i | \(-0.598501\pi\) |
−0.977158 | + | 0.212514i | \(0.931835\pi\) | |||||||
\(480\) | −184.897 | − | 38.6961i | −0.385202 | − | 0.0806168i | ||||
\(481\) | −19.6514 | − | 34.0372i | −0.0408552 | − | 0.0707633i | ||||
\(482\) | −200.049 | + | 416.456i | −0.415039 | + | 0.864017i | ||||
\(483\) | 51.6886 | + | 103.815i | 0.107016 | + | 0.214939i | ||||
\(484\) | −67.9306 | − | 84.8382i | −0.140352 | − | 0.175286i | ||||
\(485\) | 42.8283i | 0.0883057i | ||||||||
\(486\) | 333.411 | − | 353.600i | 0.686030 | − | 0.727573i | ||||
\(487\) | 204.394i | 0.419699i | 0.977734 | + | 0.209850i | \(0.0672975\pi\) | ||||
−0.977734 | + | 0.209850i | \(0.932703\pi\) | |||||||
\(488\) | 351.049 | + | 107.147i | 0.719363 | + | 0.219564i | ||||
\(489\) | 34.9015 | + | 70.0990i | 0.0713733 | + | 0.143352i | ||||
\(490\) | −183.864 | − | 88.3206i | −0.375232 | − | 0.180246i | ||||
\(491\) | 113.951 | + | 197.369i | 0.232080 | + | 0.401974i | 0.958420 | − | 0.285361i | \(-0.0921136\pi\) |
−0.726340 | + | 0.687335i | \(0.758780\pi\) | |||||||
\(492\) | 114.388 | − | 247.024i | 0.232497 | − | 0.502081i | ||||
\(493\) | 192.135 | + | 110.929i | 0.389725 | + | 0.225008i | ||||
\(494\) | −167.876 | + | 114.699i | −0.339830 | + | 0.232184i | ||||
\(495\) | −172.019 | − | 129.925i | −0.347513 | − | 0.262475i | ||||
\(496\) | −624.792 | + | 678.720i | −1.25966 | + | 1.36839i | ||||
\(497\) | −665.603 | + | 1152.86i | −1.33924 | + | 2.31963i | ||||
\(498\) | 2.24927 | − | 0.0318188i | 0.00451661 | − | 6.38931e-5i | ||||
\(499\) | −190.463 | − | 329.891i | −0.381689 | − | 0.661105i | 0.609615 | − | 0.792698i | \(-0.291324\pi\) |
−0.991304 | + | 0.131593i | \(0.957991\pi\) | |||||||
\(500\) | −54.8214 | − | 358.909i | −0.109643 | − | 0.717817i | ||||
\(501\) | −327.262 | − | 216.871i | −0.653218 | − | 0.432877i | ||||
\(502\) | −156.595 | + | 11.8906i | −0.311942 | + | 0.0236864i | ||||
\(503\) | − | 697.917i | − | 1.38751i | −0.720212 | − | 0.693754i | \(-0.755955\pi\) | ||
0.720212 | − | 0.693754i | \(-0.244045\pi\) | |||||||
\(504\) | 585.178 | − | 424.582i | 1.16107 | − | 0.842426i | ||||
\(505\) | 91.6077 | 0.181401 | ||||||||
\(506\) | 7.09615 | + | 93.4539i | 0.0140240 | + | 0.184691i | ||||
\(507\) | −432.610 | − | 26.7005i | −0.853273 | − | 0.0526636i | ||||
\(508\) | 67.9245 | + | 444.693i | 0.133710 | + | 0.875380i | ||||
\(509\) | −64.0084 | + | 36.9552i | −0.125753 | + | 0.0726036i | −0.561557 | − | 0.827438i | \(-0.689797\pi\) |
0.435804 | + | 0.900042i | \(0.356464\pi\) | |||||||
\(510\) | −48.5848 | − | 27.1415i | −0.0952644 | − | 0.0532186i | ||||
\(511\) | −214.790 | − | 124.009i | −0.420333 | − | 0.242679i | ||||
\(512\) | 397.447 | − | 322.769i | 0.776263 | − | 0.630409i | ||||
\(513\) | 544.827 | + | 101.916i | 1.06204 | + | 0.198667i | ||||
\(514\) | 295.237 | + | 432.116i | 0.574391 | + | 0.840693i | ||||
\(515\) | −99.2196 | + | 171.853i | −0.192659 | + | 0.333696i | ||||
\(516\) | 735.749 | − | 66.3463i | 1.42587 | − | 0.128578i | ||||
\(517\) | 544.274 | − | 314.237i | 1.05275 | − | 0.607808i | ||||
\(518\) | −69.0158 | + | 143.675i | −0.133235 | + | 0.277365i | ||||
\(519\) | −33.9529 | + | 550.117i | −0.0654199 | + | 1.05996i | ||||
\(520\) | −22.7567 | + | 74.5585i | −0.0437630 | + | 0.143382i | ||||
\(521\) | −994.276 | −1.90840 | −0.954200 | − | 0.299171i | \(-0.903290\pi\) | ||||
−0.954200 | + | 0.299171i | \(0.903290\pi\) | |||||||
\(522\) | −752.979 | + | 388.287i | −1.44249 | + | 0.743845i | ||||
\(523\) | 342.943 | 0.655722 | 0.327861 | − | 0.944726i | \(-0.393672\pi\) | ||||
0.327861 | + | 0.944726i | \(0.393672\pi\) | |||||||
\(524\) | 445.954 | + | 556.950i | 0.851058 | + | 1.06288i | ||||
\(525\) | 530.545 | + | 351.583i | 1.01056 | + | 0.669683i | ||||
\(526\) | 573.199 | + | 275.342i | 1.08973 | + | 0.523463i | ||||
\(527\) | −235.366 | + | 135.889i | −0.446615 | + | 0.257854i | ||||
\(528\) | 567.326 | − | 139.740i | 1.07448 | − | 0.264658i | ||||
\(529\) | −257.090 | + | 445.292i | −0.485992 | + | 0.841762i | ||||
\(530\) | −113.257 | − | 165.765i | −0.213692 | − | 0.312765i | ||||
\(531\) | −298.486 | − | 36.9857i | −0.562120 | − | 0.0696529i | ||||
\(532\) | 768.148 | + | 299.728i | 1.44389 | + | 0.563398i | ||||
\(533\) | −97.2872 | − | 56.1688i | −0.182528 | − | 0.105382i | ||||
\(534\) | −414.333 | − | 694.761i | −0.775904 | − | 1.30105i | ||||
\(535\) | 22.0626 | − | 12.7379i | 0.0412385 | − | 0.0238091i | ||||
\(536\) | 293.908 | + | 314.882i | 0.548335 | + | 0.587467i | ||||
\(537\) | −32.6670 | − | 65.6110i | −0.0608324 | − | 0.122181i | ||||
\(538\) | −20.4494 | − | 269.311i | −0.0380100 | − | 0.500579i | ||||
\(539\) | 630.905 | 1.17051 | ||||||||
\(540\) | 187.485 | − | 100.062i | 0.347194 | − | 0.185300i | ||||
\(541\) | 571.225i | 1.05587i | 0.849285 | + | 0.527934i | \(0.177033\pi\) | ||||
−0.849285 | + | 0.527934i | \(0.822967\pi\) | |||||||
\(542\) | 24.4428 | + | 321.904i | 0.0450974 | + | 0.593918i | ||||
\(543\) | 272.995 | − | 135.921i | 0.502754 | − | 0.250316i | ||||
\(544\) | 140.138 | − | 55.7996i | 0.257607 | − | 0.102573i | ||||
\(545\) | 115.794 | + | 200.562i | 0.212467 | + | 0.368003i | ||||
\(546\) | −152.816 | − | 256.244i | −0.279882 | − | 0.469311i | ||||
\(547\) | 390.615 | − | 676.565i | 0.714104 | − | 1.23686i | −0.249200 | − | 0.968452i | \(-0.580168\pi\) |
0.963304 | − | 0.268413i | \(-0.0864990\pi\) | |||||||
\(548\) | 186.327 | − | 477.521i | 0.340012 | − | 0.871389i | ||||
\(549\) | −380.270 | + | 160.917i | −0.692660 | + | 0.293110i | ||||
\(550\) | 290.170 | + | 424.701i | 0.527583 | + | 0.772183i | ||||
\(551\) | −836.771 | − | 483.110i | −1.51864 | − | 0.876788i | ||||
\(552\) | −86.5404 | − | 32.3648i | −0.156776 | − | 0.0586318i | ||||
\(553\) | 488.847 | + | 846.707i | 0.883990 | + | 1.53112i | ||||
\(554\) | −765.923 | − | 367.918i | −1.38253 | − | 0.664113i | ||||
\(555\) | −25.8811 | + | 39.0550i | −0.0466326 | + | 0.0703693i | ||||
\(556\) | −481.610 | − | 601.481i | −0.866205 | − | 1.08180i | ||||
\(557\) | 439.321i | 0.788727i | 0.918954 | + | 0.394364i | \(0.129035\pi\) | ||||
−0.918954 | + | 0.394364i | \(0.870965\pi\) | |||||||
\(558\) | 49.2740 | − | 1036.65i | 0.0883046 | − | 1.85780i | ||||
\(559\) | − | 304.852i | − | 0.545352i | ||||||
\(560\) | 301.727 | − | 94.3763i | 0.538798 | − | 0.168529i | ||||
\(561\) | 171.806 | + | 10.6038i | 0.306250 | + | 0.0189016i | ||||
\(562\) | 139.502 | − | 290.412i | 0.248224 | − | 0.516747i | ||||
\(563\) | 16.1013 | + | 27.8883i | 0.0285992 | + | 0.0495352i | 0.879971 | − | 0.475028i | \(-0.157562\pi\) |
−0.851372 | + | 0.524563i | \(0.824229\pi\) | |||||||
\(564\) | 55.6436 | + | 617.061i | 0.0986589 | + | 1.09408i | ||||
\(565\) | −50.0682 | − | 28.9069i | −0.0886163 | − | 0.0511626i | ||||
\(566\) | 411.556 | + | 602.363i | 0.727130 | + | 1.06425i | ||||
\(567\) | −198.519 | + | 788.756i | −0.350122 | + | 1.39110i | ||||
\(568\) | −239.059 | − | 1033.28i | −0.420879 | − | 1.81915i | ||||
\(569\) | 402.885 | − | 697.818i | 0.708058 | − | 1.22639i | −0.257518 | − | 0.966274i | \(-0.582905\pi\) |
0.965576 | − | 0.260120i | \(-0.0837620\pi\) | |||||||
\(570\) | 211.593 | + | 118.205i | 0.371216 | + | 0.207377i | ||||
\(571\) | 250.021 | + | 433.050i | 0.437866 | + | 0.758406i | 0.997525 | − | 0.0703173i | \(-0.0224012\pi\) |
−0.559659 | + | 0.828723i | \(0.689068\pi\) | |||||||
\(572\) | −36.4067 | − | 238.350i | −0.0636481 | − | 0.416696i | ||||
\(573\) | 5.33740 | − | 86.4783i | 0.00931483 | − | 0.150922i | ||||
\(574\) | 34.4942 | + | 454.277i | 0.0600944 | + | 0.791423i | ||||
\(575\) | − | 81.3379i | − | 0.141457i | ||||||
\(576\) | −110.005 | + | 565.398i | −0.190981 | + | 0.981594i | ||||
\(577\) | 408.301 | 0.707628 | 0.353814 | − | 0.935316i | \(-0.384885\pi\) | ||||
0.353814 | + | 0.935316i | \(0.384885\pi\) | |||||||
\(578\) | −532.030 | + | 40.3982i | −0.920468 | + | 0.0698930i | ||||
\(579\) | 472.838 | − | 713.520i | 0.816647 | − | 1.23233i | ||||
\(580\) | −366.211 | + | 55.9369i | −0.631399 | + | 0.0964429i | ||||
\(581\) | −3.26032 | + | 1.88235i | −0.00561156 | + | 0.00323984i | ||||
\(582\) | 130.578 | − | 1.84719i | 0.224361 | − | 0.00317387i | ||||
\(583\) | 537.769 | + | 310.481i | 0.922416 | + | 0.532557i | ||||
\(584\) | 192.511 | − | 44.5394i | 0.329642 | − | 0.0762660i | ||||
\(585\) | −34.1769 | − | 80.7647i | −0.0584220 | − | 0.138059i | ||||
\(586\) | 833.364 | − | 569.384i | 1.42212 | − | 0.971644i | ||||
\(587\) | −231.965 | + | 401.775i | −0.395171 | + | 0.684456i | −0.993123 | − | 0.117076i | \(-0.962648\pi\) |
0.597952 | + | 0.801532i | \(0.295981\pi\) | |||||||
\(588\) | −261.349 | + | 564.387i | −0.444471 | + | 0.959843i | ||||
\(589\) | 1025.05 | − | 591.814i | 1.74032 | − | 1.00478i | ||||
\(590\) | −118.550 | − | 56.9468i | −0.200933 | − | 0.0965200i | ||||
\(591\) | 515.511 | − | 256.667i | 0.872269 | − | 0.434293i | ||||
\(592\) | −37.9089 | − | 121.197i | −0.0640353 | − | 0.204725i | ||||
\(593\) | −80.8523 | −0.136344 | −0.0681722 | − | 0.997674i | \(-0.521717\pi\) | ||||
−0.0681722 | + | 0.997674i | \(0.521717\pi\) | |||||||
\(594\) | −388.707 | + | 530.069i | −0.654389 | + | 0.892372i | ||||
\(595\) | 93.1375 | 0.156534 | ||||||||
\(596\) | −115.035 | + | 92.1095i | −0.193012 | + | 0.154546i | ||||
\(597\) | −90.7541 | + | 45.1855i | −0.152017 | + | 0.0756876i | ||||
\(598\) | −16.5093 | + | 34.3686i | −0.0276075 | + | 0.0574726i | ||||
\(599\) | 153.902 | − | 88.8554i | 0.256932 | − | 0.148339i | −0.366002 | − | 0.930614i | \(-0.619274\pi\) |
0.622934 | + | 0.782274i | \(0.285941\pi\) | |||||||
\(600\) | −500.125 | + | 83.6472i | −0.833542 | + | 0.139412i | ||||
\(601\) | 99.6250 | − | 172.555i | 0.165765 | − | 0.287114i | −0.771161 | − | 0.636640i | \(-0.780324\pi\) |
0.936927 | + | 0.349526i | \(0.113657\pi\) | |||||||
\(602\) | −1020.81 | + | 697.454i | −1.69570 | + | 1.15856i | ||||
\(603\) | −480.899 | − | 59.5887i | −0.797511 | − | 0.0988204i | ||||
\(604\) | −6.61695 | − | 2.58190i | −0.0109552 | − | 0.00427467i | ||||
\(605\) | 46.3022 | + | 26.7326i | 0.0765325 | + | 0.0441861i | ||||
\(606\) | −3.95107 | − | 279.301i | −0.00651991 | − | 0.460893i | ||||
\(607\) | −967.595 | + | 558.641i | −1.59406 | + | 0.920332i | −0.601461 | + | 0.798902i | \(0.705415\pi\) |
−0.992600 | + | 0.121430i | \(0.961252\pi\) | |||||||
\(608\) | −610.320 | + | 243.015i | −1.00382 | + | 0.399695i | ||||
\(609\) | 783.217 | − | 1181.89i | 1.28607 | − | 1.94070i | ||||
\(610\) | −180.040 | + | 13.6708i | −0.295147 | + | 0.0224111i | ||||
\(611\) | 255.674 | 0.418453 | ||||||||
\(612\) | −80.6557 | + | 149.300i | −0.131790 | + | 0.243954i | ||||
\(613\) | 131.929i | 0.215218i | 0.994193 | + | 0.107609i | \(0.0343194\pi\) | ||||
−0.994193 | + | 0.107609i | \(0.965681\pi\) | |||||||
\(614\) | 85.0275 | − | 6.45631i | 0.138481 | − | 0.0105152i | ||||
\(615\) | −8.24953 | + | 133.662i | −0.0134139 | + | 0.217336i | ||||
\(616\) | −714.833 | + | 667.217i | −1.16044 | + | 1.08315i | ||||
\(617\) | −57.7694 | − | 100.060i | −0.0936295 | − | 0.162171i | 0.815406 | − | 0.578889i | \(-0.196514\pi\) |
−0.909036 | + | 0.416718i | \(0.863180\pi\) | |||||||
\(618\) | 528.240 | + | 295.097i | 0.854758 | + | 0.477503i | ||||
\(619\) | −337.518 | + | 584.599i | −0.545264 | + | 0.944424i | 0.453327 | + | 0.891344i | \(0.350237\pi\) |
−0.998590 | + | 0.0530799i | \(0.983096\pi\) | |||||||
\(620\) | 164.963 | − | 422.771i | 0.266069 | − | 0.681888i | ||||
\(621\) | 98.0392 | − | 34.5340i | 0.157873 | − | 0.0556103i | ||||
\(622\) | 325.640 | − | 222.489i | 0.523537 | − | 0.357699i | ||||
\(623\) | 1172.42 | + | 676.899i | 1.88190 | + | 1.08651i | ||||
\(624\) | 228.302 | + | 66.1669i | 0.365868 | + | 0.106037i | ||||
\(625\) | −174.796 | − | 302.756i | −0.279674 | − | 0.484410i | ||||
\(626\) | 126.594 | − | 263.540i | 0.202226 | − | 0.420990i | ||||
\(627\) | −748.240 | − | 46.1810i | −1.19336 | − | 0.0736539i | ||||
\(628\) | 102.638 | − | 82.1830i | 0.163436 | − | 0.130865i | ||||
\(629\) | − | 37.4113i | − | 0.0594775i | ||||||
\(630\) | −192.253 | + | 299.220i | −0.305164 | + | 0.474953i | ||||
\(631\) | − | 214.708i | − | 0.340267i | −0.985421 | − | 0.170133i | \(-0.945580\pi\) | ||
0.985421 | − | 0.170133i | \(-0.0544199\pi\) | |||||||
\(632\) | −744.999 | − | 227.389i | −1.17880 | − | 0.359792i | ||||
\(633\) | −429.838 | + | 648.633i | −0.679050 | + | 1.02470i | ||||
\(634\) | −127.051 | − | 61.0303i | −0.200396 | − | 0.0962622i | ||||
\(635\) | −110.648 | − | 191.649i | −0.174250 | − | 0.301809i | ||||
\(636\) | −500.514 | + | 352.456i | −0.786972 | + | 0.554176i | ||||
\(637\) | 222.277 | + | 128.332i | 0.348944 | + | 0.201463i | ||||
\(638\) | 946.100 | − | 646.408i | 1.48291 | − | 1.01318i | ||||
\(639\) | 952.089 | + | 719.108i | 1.48997 | + | 1.12536i | ||||
\(640\) | −124.425 | + | 218.991i | −0.194415 | + | 0.342173i | ||||
\(641\) | 90.7182 | − | 157.129i | 0.141526 | − | 0.245130i | −0.786545 | − | 0.617532i | \(-0.788132\pi\) |
0.928072 | + | 0.372402i | \(0.121466\pi\) | |||||||
\(642\) | −39.7878 | − | 66.7169i | −0.0619748 | − | 0.103920i | ||||
\(643\) | −544.280 | − | 942.721i | −0.846470 | − | 1.46613i | −0.884338 | − | 0.466847i | \(-0.845390\pi\) |
0.0378680 | − | 0.999283i | \(-0.487943\pi\) | |||||||
\(644\) | 152.856 | − | 23.3479i | 0.237353 | − | 0.0362545i | ||||
\(645\) | −325.317 | + | 161.972i | −0.504368 | + | 0.251119i | ||||
\(646\) | −192.978 | + | 14.6532i | −0.298727 | + | 0.0226830i | ||||
\(647\) | − | 162.166i | − | 0.250643i | −0.992116 | − | 0.125321i | \(-0.960004\pi\) | ||
0.992116 | − | 0.125321i | \(-0.0399962\pi\) | |||||||
\(648\) | −313.163 | − | 567.303i | −0.483276 | − | 0.875468i | ||||
\(649\) | 406.791 | 0.626796 | ||||||||
\(650\) | 15.8434 | + | 208.652i | 0.0243744 | + | 0.321003i | ||||
\(651\) | 774.126 | + | 1554.82i | 1.18913 | + | 2.38835i | ||||
\(652\) | 103.212 | − | 15.7651i | 0.158301 | − | 0.0241797i | ||||
\(653\) | −441.606 | + | 254.961i | −0.676272 | + | 0.390446i | −0.798449 | − | 0.602062i | \(-0.794346\pi\) |
0.122177 | + | 0.992508i | \(0.461013\pi\) | |||||||
\(654\) | 606.495 | − | 361.694i | 0.927362 | − | 0.553048i | ||||
\(655\) | −303.967 | − | 175.495i | −0.464071 | − | 0.267932i | ||||
\(656\) | −267.044 | − | 245.826i | −0.407079 | − | 0.374735i | ||||
\(657\) | −133.978 | + | 177.385i | −0.203923 | + | 0.269992i | ||||
\(658\) | −584.944 | − | 856.138i | −0.888972 | − | 1.30112i | ||||
\(659\) | 392.592 | − | 679.989i | 0.595739 | − | 1.03185i | −0.397703 | − | 0.917514i | \(-0.630193\pi\) |
0.993442 | − | 0.114336i | \(-0.0364740\pi\) | |||||||
\(660\) | −235.007 | + | 165.489i | −0.356072 | + | 0.250741i | ||||
\(661\) | 219.088 | − | 126.491i | 0.331450 | − | 0.191363i | −0.325035 | − | 0.945702i | \(-0.605376\pi\) |
0.656485 | + | 0.754339i | \(0.272043\pi\) | |||||||
\(662\) | 93.6365 | − | 194.930i | 0.141445 | − | 0.294456i | ||||
\(663\) | 58.3730 | + | 38.6829i | 0.0880438 | + | 0.0583452i | ||||
\(664\) | 0.875579 | − | 2.86868i | 0.00131864 | − | 0.00432030i | ||||
\(665\) | −405.626 | −0.609964 | ||||||||
\(666\) | 120.190 | + | 77.2240i | 0.180466 | + | 0.115952i | ||||
\(667\) | −181.195 | −0.271657 | ||||||||
\(668\) | −408.616 | + | 327.182i | −0.611701 | + | 0.489793i | ||||
\(669\) | 22.8744 | − | 370.618i | 0.0341919 | − | 0.553989i | ||||
\(670\) | −191.000 | − | 91.7486i | −0.285074 | − | 0.136938i | ||||
\(671\) | 483.650 | − | 279.236i | 0.720790 | − | 0.416149i | ||||
\(672\) | −300.756 | − | 915.858i | −0.447553 | − | 1.36288i | ||||
\(673\) | −54.8126 | + | 94.9383i | −0.0814452 | + | 0.141067i | −0.903871 | − | 0.427805i | \(-0.859287\pi\) |
0.822426 | + | 0.568873i | \(0.192620\pi\) | |||||||
\(674\) | −380.668 | − | 557.156i | −0.564789 | − | 0.826640i | ||||
\(675\) | 371.203 | − | 433.161i | 0.549931 | − | 0.641720i | ||||
\(676\) | −210.072 | + | 538.377i | −0.310758 | + | 0.796416i | ||||
\(677\) | 415.870 | + | 240.103i | 0.614284 | + | 0.354657i | 0.774640 | − | 0.632402i | \(-0.217931\pi\) |
−0.160356 | + | 0.987059i | \(0.551264\pi\) | |||||||
\(678\) | −85.9742 | + | 153.899i | −0.126806 | + | 0.226989i | ||||
\(679\) | −189.273 | + | 109.277i | −0.278753 | + | 0.160938i | ||||
\(680\) | −54.2448 | + | 50.6314i | −0.0797717 | + | 0.0744580i | ||||
\(681\) | −763.466 | − | 47.1208i | −1.12110 | − | 0.0691935i | ||||
\(682\) | 106.277 | + | 1399.63i | 0.155831 | + | 2.05225i | ||||
\(683\) | −27.4345 | −0.0401677 | −0.0200838 | − | 0.999798i | \(-0.506393\pi\) | ||||
−0.0200838 | + | 0.999798i | \(0.506393\pi\) | |||||||
\(684\) | 351.266 | − | 650.221i | 0.513547 | − | 0.950616i | ||||
\(685\) | 252.159i | 0.368115i | ||||||||
\(686\) | −4.30339 | − | 56.6743i | −0.00627317 | − | 0.0826155i | ||||
\(687\) | −625.847 | − | 414.739i | −0.910986 | − | 0.603695i | ||||
\(688\) | 215.386 | − | 961.142i | 0.313062 | − | 1.39701i | ||||
\(689\) | 126.309 | + | 218.774i | 0.183323 | + | 0.317524i | ||||
\(690\) | 45.4474 | − | 0.642911i | 0.0658658 | − | 0.000931755i | ||||
\(691\) | 4.69502 | − | 8.13201i | 0.00679452 | − | 0.0117685i | −0.862608 | − | 0.505873i | \(-0.831171\pi\) |
0.869403 | + | 0.494104i | \(0.164504\pi\) | |||||||
\(692\) | 684.613 | + | 267.133i | 0.989326 | + | 0.386030i | ||||
\(693\) | 135.276 | − | 1091.72i | 0.195203 | − | 1.57535i | ||||
\(694\) | 27.8818 | + | 40.8085i | 0.0401755 | + | 0.0588019i | ||||
\(695\) | 328.270 | + | 189.527i | 0.472331 | + | 0.272701i | ||||
\(696\) | 186.340 | + | 1114.12i | 0.267729 | + | 1.60075i | ||||
\(697\) | −53.4658 | − | 92.6055i | −0.0767084 | − | 0.132863i | ||||
\(698\) | −25.2215 | − | 12.1154i | −0.0361339 | − | 0.0173573i | ||||
\(699\) | 310.180 | + | 622.991i | 0.443749 | + | 0.891260i | ||||
\(700\) | 662.433 | − | 530.415i | 0.946333 | − | 0.757736i | ||||
\(701\) | 821.246i | 1.17153i | 0.810479 | + | 0.585767i | \(0.199207\pi\) | ||||
−0.810479 | + | 0.585767i | \(0.800793\pi\) | |||||||
\(702\) | −244.768 | + | 107.685i | −0.348672 | + | 0.153397i | ||||
\(703\) | 162.931i | 0.231766i | ||||||||
\(704\) | 53.6172 | − | 777.196i | 0.0761608 | − | 1.10397i | ||||
\(705\) | −135.843 | − | 272.838i | −0.192685 | − | 0.387005i | ||||
\(706\) | 273.360 | − | 569.073i | 0.387195 | − | 0.806052i | ||||
\(707\) | 233.738 | + | 404.847i | 0.330606 | + | 0.572626i | ||||
\(708\) | −168.511 | + | 363.902i | −0.238010 | + | 0.513986i | ||||
\(709\) | −719.455 | − | 415.378i | −1.01475 | − | 0.585864i | −0.102168 | − | 0.994767i | \(-0.532578\pi\) |
−0.912578 | + | 0.408903i | \(0.865911\pi\) | |||||||
\(710\) | 294.327 | + | 430.785i | 0.414545 | + | 0.606739i | ||||
\(711\) | 807.012 | − | 341.500i | 1.13504 | − | 0.480310i | ||||
\(712\) | −1050.81 | + | 243.116i | −1.47586 | + | 0.341456i | ||||
\(713\) | 110.983 | − | 192.228i | 0.155656 | − | 0.269604i | ||||
\(714\) | −4.01705 | − | 283.965i | −0.00562612 | − | 0.397711i | ||||
\(715\) | 59.3062 | + | 102.721i | 0.0829458 | + | 0.143666i | ||||
\(716\) | −96.6042 | + | 14.7558i | −0.134922 | + | 0.0206087i | ||||
\(717\) | −604.412 | − | 400.534i | −0.842974 | − | 0.558625i | ||||
\(718\) | 95.3768 | + | 1256.08i | 0.132837 | + | 1.74942i | ||||
\(719\) | − | 195.460i | − | 0.271850i | −0.990719 | − | 0.135925i | \(-0.956599\pi\) | ||
0.990719 | − | 0.135925i | \(-0.0434006\pi\) | |||||||
\(720\) | −50.6909 | − | 278.783i | −0.0704040 | − | 0.387199i | ||||
\(721\) | −1012.64 | −1.40450 | ||||||||
\(722\) | 120.517 | − | 9.15110i | 0.166921 | − | 0.0126746i | ||||
\(723\) | −691.702 | − | 42.6915i | −0.956711 | − | 0.0590478i | ||||
\(724\) | −61.3961 | − | 401.952i | −0.0848013 | − | 0.555183i | ||||
\(725\) | −861.195 | + | 497.211i | −1.18786 | + | 0.685809i | ||||
\(726\) | 79.5074 | − | 142.323i | 0.109514 | − | 0.196037i | ||||
\(727\) | 208.982 | + | 120.656i | 0.287457 | + | 0.165964i | 0.636795 | − | 0.771033i | \(-0.280260\pi\) |
−0.349337 | + | 0.936997i | \(0.613593\pi\) | |||||||
\(728\) | −387.564 | + | 89.6670i | −0.532369 | + | 0.123169i | ||||
\(729\) | 679.707 | + | 263.514i | 0.932382 | + | 0.361474i | ||||
\(730\) | −80.2599 | + | 54.8363i | −0.109945 | + | 0.0751183i | ||||
\(731\) | 145.091 | − | 251.304i | 0.198482 | − | 0.343782i | ||||
\(732\) | 49.4458 | + | 548.330i | 0.0675489 | + | 0.749085i | ||||
\(733\) | −907.973 | + | 524.218i | −1.23871 | + | 0.715168i | −0.968830 | − | 0.247726i | \(-0.920317\pi\) |
−0.269878 | + | 0.962895i | \(0.586983\pi\) | |||||||
\(734\) | 466.447 | + | 224.062i | 0.635487 | + | 0.305262i | ||||
\(735\) | 18.8481 | − | 305.383i | 0.0256437 | − | 0.415487i | ||||
\(736\) | −76.3331 | + | 96.6936i | −0.103713 | + | 0.131377i | ||||
\(737\) | 655.392 | 0.889271 | ||||||||
\(738\) | 407.874 | + | 19.3870i | 0.552675 | + | 0.0262696i | ||||
\(739\) | −166.542 | −0.225362 | −0.112681 | − | 0.993631i | \(-0.535944\pi\) | ||||
−0.112681 | + | 0.993631i | \(0.535944\pi\) | |||||||
\(740\) | 39.0454 | + | 48.7637i | 0.0527641 | + | 0.0658968i | ||||
\(741\) | −254.222 | − | 168.469i | −0.343080 | − | 0.227354i | ||||
\(742\) | 443.599 | − | 923.474i | 0.597843 | − | 1.24457i | ||||
\(743\) | 242.538 | − | 140.029i | 0.326430 | − | 0.188465i | −0.327825 | − | 0.944739i | \(-0.606316\pi\) |
0.654255 | + | 0.756274i | \(0.272982\pi\) | |||||||
\(744\) | −1296.09 | − | 484.719i | −1.74206 | − | 0.651503i | ||||
\(745\) | 36.2476 | − | 62.7828i | 0.0486545 | − | 0.0842722i | ||||
\(746\) | −205.761 | + | 140.583i | −0.275819 | + | 0.188449i | ||||
\(747\) | 1.31498 | + | 3.10747i | 0.00176034 | + | 0.00415993i | ||||
\(748\) | 83.4280 | − | 213.811i | 0.111535 | − | 0.285844i | ||||
\(749\) | 112.586 | + | 65.0017i | 0.150315 | + | 0.0867846i | ||||
\(750\) | 467.745 | − | 278.948i | 0.623659 | − | 0.371930i | ||||
\(751\) | −189.292 | + | 109.288i | −0.252053 | + | 0.145523i | −0.620704 | − | 0.784045i | \(-0.713153\pi\) |
0.368651 | + | 0.929568i | \(0.379820\pi\) | |||||||
\(752\) | 806.094 | + | 180.641i | 1.07193 | + | 0.240214i | ||||
\(753\) | −104.993 | − | 210.877i | −0.139433 | − | 0.280049i | ||||
\(754\) | 464.810 | − | 35.2940i | 0.616459 | − | 0.0468090i | ||||
\(755\) | 3.49413 | 0.00462799 | ||||||||
\(756\) | 920.579 | + | 573.252i | 1.21770 | + | 0.758270i | ||||
\(757\) | 1241.72i | 1.64031i | 0.572138 | + | 0.820157i | \(0.306114\pi\) | ||||
−0.572138 | + | 0.820157i | \(0.693886\pi\) | |||||||
\(758\) | −307.412 | + | 23.3424i | −0.405556 | + | 0.0307947i | ||||
\(759\) | −125.849 | + | 62.6586i | −0.165808 | + | 0.0825542i | ||||
\(760\) | 236.243 | − | 220.507i | 0.310846 | − | 0.290140i | ||||
\(761\) | −353.625 | − | 612.496i | −0.464684 | − | 0.804857i | 0.534503 | − | 0.845167i | \(-0.320499\pi\) |
−0.999187 | + | 0.0403097i | \(0.987166\pi\) | |||||||
\(762\) | −579.542 | + | 345.620i | −0.760554 | + | 0.453570i | ||||
\(763\) | −590.902 | + | 1023.47i | −0.774445 | + | 1.34138i | ||||
\(764\) | −107.621 | − | 41.9933i | −0.140865 | − | 0.0549650i | ||||
\(765\) | 10.2653 | − | 82.8444i | 0.0134187 | − | 0.108293i | ||||
\(766\) | 657.244 | − | 449.052i | 0.858021 | − | 0.586230i | ||||
\(767\) | 143.318 | + | 82.7449i | 0.186856 | + | 0.107881i | ||||
\(768\) | 673.044 | + | 369.913i | 0.876359 | + | 0.481658i | ||||
\(769\) | −469.232 | − | 812.734i | −0.610185 | − | 1.05687i | −0.991209 | − | 0.132307i | \(-0.957762\pi\) |
0.381024 | − | 0.924565i | \(-0.375572\pi\) | |||||||
\(770\) | 208.284 | − | 433.600i | 0.270499 | − | 0.563117i | ||||
\(771\) | −433.643 | + | 654.374i | −0.562442 | + | 0.848734i | ||||
\(772\) | −713.346 | − | 890.895i | −0.924023 | − | 1.15401i | ||||
\(773\) | − | 419.774i | − | 0.543045i | −0.962432 | − | 0.271522i | \(-0.912473\pi\) | ||
0.962432 | − | 0.271522i | \(-0.0875271\pi\) | |||||||
\(774\) | 507.864 | + | 984.868i | 0.656155 | + | 1.27244i | ||||
\(775\) | − | 1218.18i | − | 1.57184i | ||||||
\(776\) | 50.8305 | − | 166.537i | 0.0655032 | − | 0.214610i | ||||
\(777\) | −238.634 | − | 14.7284i | −0.307122 | − | 0.0189554i | ||||
\(778\) | −581.436 | − | 279.298i | −0.747347 | − | 0.358995i | ||||
\(779\) | 232.851 | + | 403.309i | 0.298910 | + | 0.517727i | ||||
\(780\) | −116.459 | + | 10.5017i | −0.149306 | + | 0.0134637i | ||||
\(781\) | −1397.53 | − | 806.866i | −1.78941 | − | 1.03312i | ||||
\(782\) | −29.9668 | + | 20.4743i | −0.0383207 | + | 0.0261820i | ||||
\(783\) | −964.947 | − | 826.924i | −1.23237 | − | 1.05610i | ||||
\(784\) | 610.129 | + | 561.651i | 0.778225 | + | 0.716392i | ||||
\(785\) | −32.3413 | + | 56.0168i | −0.0411991 | + | 0.0713589i | ||||
\(786\) | −521.954 | + | 934.328i | −0.664064 | + | 1.18871i | ||||
\(787\) | 43.1357 | + | 74.7132i | 0.0548103 | + | 0.0949341i | 0.892129 | − | 0.451781i | \(-0.149211\pi\) |
−0.837318 | + | 0.546715i | \(0.815878\pi\) | |||||||
\(788\) | −115.938 | − | 759.027i | −0.147129 | − | 0.963233i | ||||
\(789\) | −58.7594 | + | 952.040i | −0.0744733 | + | 1.20664i | ||||
\(790\) | 382.082 | − | 29.0123i | 0.483648 | − | 0.0367244i | ||||
\(791\) | − | 295.025i | − | 0.372978i | ||||||
\(792\) | 514.693 | + | 709.372i | 0.649865 | + | 0.895672i | ||||
\(793\) | 227.196 | 0.286502 | ||||||||
\(794\) | −43.4415 | − | 572.110i | −0.0547122 | − | 0.720541i | ||||
\(795\) | 166.351 | − | 251.026i | 0.209246 | − | 0.315756i | ||||
\(796\) | 20.4104 | + | 133.624i | 0.0256413 | + | 0.167870i | ||||
\(797\) | 865.089 | − | 499.459i | 1.08543 | − | 0.626674i | 0.153075 | − | 0.988215i | \(-0.451082\pi\) |
0.932356 | + | 0.361540i | \(0.117749\pi\) | |||||||
\(798\) | 17.4948 | + | 1236.71i | 0.0219233 | + | 1.54976i | ||||
\(799\) | 210.765 | + | 121.685i | 0.263786 | + | 0.152297i | ||||
\(800\) | −97.4670 | + | 669.034i | −0.121834 | + | 0.836292i | ||||
\(801\) | 731.312 | − | 968.247i | 0.912999 | − | 1.20880i | ||||
\(802\) | 668.503 | + | 978.438i | 0.833545 | + | 1.22000i | ||||
\(803\) | 150.328 | − | 260.376i | 0.187208 | − | 0.324253i | ||||
\(804\) | −271.493 | + | 586.293i | −0.337678 | + | 0.729220i | ||||
\(805\) | −65.8760 | + | 38.0335i | −0.0818336 | + | 0.0472466i | ||||
\(806\) | −247.255 | + | 514.729i | −0.306768 | + | 0.638622i | ||||
\(807\) | 362.665 | − | 180.567i | 0.449399 | − | 0.223751i | ||||
\(808\) | −356.216 | − | 108.724i | −0.440861 | − | 0.134560i | ||||
\(809\) | 526.876 | 0.651268 | 0.325634 | − | 0.945496i | \(-0.394422\pi\) | ||||
0.325634 | + | 0.945496i | \(0.394422\pi\) | |||||||
\(810\) | 244.962 | + | 203.985i | 0.302422 | + | 0.251834i | ||||
\(811\) | 980.131 | 1.20855 | 0.604273 | − | 0.796777i | \(-0.293464\pi\) | ||||
0.604273 | + | 0.796777i | \(0.293464\pi\) | |||||||
\(812\) | −1181.60 | − | 1475.69i | −1.45517 | − | 1.81736i | ||||
\(813\) | −433.488 | + | 215.829i | −0.533195 | + | 0.265472i | ||||
\(814\) | −174.168 | − | 83.6632i | −0.213966 | − | 0.102780i | ||||
\(815\) | −44.4813 | + | 25.6813i | −0.0545783 | + | 0.0315108i | ||||
\(816\) | 156.709 | + | 163.202i | 0.192045 | + | 0.200003i | ||||
\(817\) | −631.889 | + | 1094.46i | −0.773426 | + | 1.33961i | ||||
\(818\) | 582.482 | + | 852.536i | 0.712081 | + | 1.04222i | ||||
\(819\) | 269.725 | − | 357.112i | 0.329335 | − | 0.436034i | ||||
\(820\) | 166.340 | + | 64.9051i | 0.202854 | + | 0.0791526i | ||||
\(821\) | 1151.54 | + | 664.844i | 1.40261 | + | 0.809798i | 0.994660 | − | 0.103205i | \(-0.0329099\pi\) |
0.407951 | + | 0.913004i | \(0.366243\pi\) | |||||||
\(822\) | 768.802 | − | 10.8757i | 0.935282 | − | 0.0132307i | ||||
\(823\) | −354.999 | + | 204.959i | −0.431347 | + | 0.249038i | −0.699920 | − | 0.714221i | \(-0.746781\pi\) |
0.268573 | + | 0.963259i | \(0.413448\pi\) | |||||||
\(824\) | 589.778 | − | 550.492i | 0.715750 | − | 0.668073i | ||||
\(825\) | −426.201 | + | 643.144i | −0.516607 | + | 0.779569i | ||||
\(826\) | −50.8150 | − | 669.216i | −0.0615194 | − | 0.810189i | ||||
\(827\) | 756.431 | 0.914668 | 0.457334 | − | 0.889295i | \(-0.348804\pi\) | ||||
0.457334 | + | 0.889295i | \(0.348804\pi\) | |||||||
\(828\) | −3.92032 | − | 138.536i | −0.00473469 | − | 0.167314i | ||||
\(829\) | − | 1028.26i | − | 1.24036i | −0.784460 | − | 0.620179i | \(-0.787060\pi\) | ||
0.784460 | − | 0.620179i | \(-0.212940\pi\) | |||||||
\(830\) | 0.111714 | + | 1.47124i | 0.000134595 | + | 0.00177258i | ||||
\(831\) | 78.5159 | − | 1272.14i | 0.0944836 | − | 1.53085i | ||||
\(832\) | 176.979 | − | 262.911i | 0.212715 | − | 0.315999i | ||||
\(833\) | 122.156 | + | 211.580i | 0.146646 | + | 0.253998i | ||||
\(834\) | 563.687 | − | 1009.03i | 0.675883 | − | 1.20987i | ||||
\(835\) | 128.755 | − | 223.010i | 0.154198 | − | 0.267078i | ||||
\(836\) | −363.340 | + | 931.175i | −0.434617 | + | 1.11385i | ||||
\(837\) | 1468.31 | − | 517.206i | 1.75425 | − | 0.617928i | ||||
\(838\) | −351.774 | − | 514.865i | −0.419778 | − | 0.614398i | ||||
\(839\) | 140.269 | + | 80.9842i | 0.167186 | + | 0.0965247i | 0.581258 | − | 0.813719i | \(-0.302561\pi\) |
−0.414072 | + | 0.910244i | \(0.635894\pi\) | |||||||
\(840\) | 301.605 | + | 365.941i | 0.359053 | + | 0.435644i | ||||
\(841\) | 687.130 | + | 1190.14i | 0.817040 | + | 1.41515i | ||||
\(842\) | 1181.29 | + | 567.442i | 1.40295 | + | 0.673922i | ||||
\(843\) | 482.352 | + | 29.7705i | 0.572185 | + | 0.0353150i | ||||
\(844\) | 648.474 | + | 809.877i | 0.768334 | + | 0.959570i | ||||
\(845\) | − | 284.294i | − | 0.336443i | ||||||
\(846\) | −825.993 | + | 425.938i | −0.976351 | + | 0.503472i | ||||
\(847\) | 272.834i | 0.322118i | ||||||||
\(848\) | 243.660 | + | 778.995i | 0.287335 | + | 0.918626i | ||||
\(849\) | −604.491 | + | 912.187i | −0.712004 | + | 1.07442i | ||||
\(850\) | −86.2449 | + | 179.542i | −0.101465 | + | 0.211226i | ||||
\(851\) | 15.2773 | + | 26.4610i | 0.0179521 | + | 0.0310940i | ||||
\(852\) | 1300.72 | − | 915.948i | 1.52666 | − | 1.07506i | ||||
\(853\) | 64.6457 | + | 37.3232i | 0.0757863 | + | 0.0437552i | 0.537414 | − | 0.843318i | \(-0.319401\pi\) |
−0.461628 | + | 0.887074i | \(0.652734\pi\) | |||||||
\(854\) | −519.790 | − | 760.778i | −0.608653 | − | 0.890840i | ||||
\(855\) | −44.7069 | + | 360.798i | −0.0522888 | + | 0.421987i | ||||
\(856\) | −100.908 | + | 23.3461i | −0.117883 | + | 0.0272735i | ||||
\(857\) | 619.475 | − | 1072.96i | 0.722841 | − | 1.25200i | −0.237015 | − | 0.971506i | \(-0.576169\pi\) |
0.959856 | − | 0.280492i | \(-0.0904976\pi\) | |||||||
\(858\) | 310.628 | − | 185.248i | 0.362037 | − | 0.215907i | ||||
\(859\) | −59.7685 | − | 103.522i | −0.0695792 | − | 0.120515i | 0.829137 | − | 0.559046i | \(-0.188832\pi\) |
−0.898716 | + | 0.438531i | \(0.855499\pi\) | |||||||
\(860\) | 73.1632 | + | 478.990i | 0.0850735 | + | 0.556965i | ||||
\(861\) | −611.746 | + | 304.582i | −0.710507 | + | 0.353753i | ||||
\(862\) | −31.0053 | − | 408.330i | −0.0359690 | − | 0.473700i | ||||
\(863\) | 1262.84i | 1.46332i | 0.681672 | + | 0.731658i | \(0.261253\pi\) | ||||
−0.681672 | + | 0.731658i | \(0.738747\pi\) | |||||||
\(864\) | −847.791 | + | 166.574i | −0.981239 | + | 0.192794i | ||||
\(865\) | −361.515 | −0.417936 | ||||||||
\(866\) | −1119.68 | + | 85.0195i | −1.29293 | + | 0.0981749i | ||||
\(867\) | −356.714 | − | 716.452i | −0.411435 | − | 0.826358i | ||||
\(868\) | 2289.28 | − | 349.675i | 2.63742 | − | 0.402852i | ||||
\(869\) | −1026.41 | + | 592.596i | −1.18114 | + | 0.681929i | ||||
\(870\) | −284.623 | − | 477.262i | −0.327153 | − | 0.548577i | ||||
\(871\) | 230.904 | + | 133.313i | 0.265103 | + | 0.153057i | ||||
\(872\) | −212.230 | − | 917.312i | −0.243383 | − | 1.05196i | ||||
\(873\) | 76.3390 | + | 180.400i | 0.0874445 | + | 0.206644i | ||||
\(874\) | 130.509 | − | 89.1684i | 0.149324 | − | 0.102023i | ||||
\(875\) | −455.719 | + | 789.328i | −0.520822 | + | 0.902090i | ||||
\(876\) | 170.651 | + | 242.338i | 0.194807 | + | 0.276641i | ||||
\(877\) | 329.652 | − | 190.325i | 0.375886 | − | 0.217018i | −0.300141 | − | 0.953895i | \(-0.597034\pi\) |
0.676027 | + | 0.736877i | \(0.263700\pi\) | |||||||
\(878\) | −544.452 | − | 261.533i | −0.620104 | − | 0.297873i | ||||
\(879\) | 1262.00 | + | 836.308i | 1.43572 | + | 0.951431i | ||||
\(880\) | 114.406 | + | 365.763i | 0.130007 | + | 0.415640i | ||||
\(881\) | −1191.72 | −1.35268 | −0.676342 | − | 0.736587i | \(-0.736436\pi\) | ||||
−0.676342 | + | 0.736587i | \(0.736436\pi\) | |||||||
\(882\) | −931.891 | − | 44.2944i | −1.05657 | − | 0.0502204i | ||||
\(883\) | 1390.74 | 1.57502 | 0.787509 | − | 0.616303i | \(-0.211370\pi\) | ||||
0.787509 | + | 0.616303i | \(0.211370\pi\) | |||||||
\(884\) | 72.8840 | − | 58.3588i | 0.0824480 | − | 0.0660167i | ||||
\(885\) | 12.1528 | − | 196.903i | 0.0137319 | − | 0.222489i | ||||
\(886\) | −395.455 | + | 823.248i | −0.446338 | + | 0.929174i | ||||
\(887\) | −1389.31 | + | 802.119i | −1.56630 | + | 0.904306i | −0.569709 | + | 0.821847i | \(0.692944\pi\) |
−0.996594 | + | 0.0824589i | \(0.973723\pi\) | |||||||
\(888\) | 146.991 | − | 121.148i | 0.165530 | − | 0.136428i | ||||
\(889\) | 564.642 | − | 977.989i | 0.635143 | − | 1.10010i | ||||
\(890\) | 438.095 | − | 299.322i | 0.492242 | − | 0.336317i | ||||
\(891\) | −956.157 | − | 240.652i | −1.07313 | − | 0.270092i | ||||
\(892\) | −461.230 | − | 179.970i | −0.517074 | − | 0.201760i | ||||
\(893\) | −917.910 | − | 529.955i | −1.02789 | − | 0.593455i | ||||
\(894\) | −192.981 | − | 107.807i | −0.215862 | − | 0.120589i | ||||
\(895\) | 41.6334 | − | 24.0371i | 0.0465178 | − | 0.0268570i | ||||
\(896\) | −1285.27 | + | 8.87848i | −1.43445 | + | 0.00990902i | ||||
\(897\) | −57.0836 | − | 3.52317i | −0.0636384 | − | 0.00392773i | ||||
\(898\) | 834.877 | − | 63.3940i | 0.929708 | − | 0.0705946i | ||||
\(899\) | −2713.71 | −3.01859 | ||||||||
\(900\) | −398.785 | − | 647.685i | −0.443094 | − | 0.719650i | ||||
\(901\) | 240.462i | 0.266883i | ||||||||
\(902\) | −550.689 | + | 41.8150i | −0.610520 | + | 0.0463581i | ||||
\(903\) | −1545.86 | − | 1024.42i | −1.71192 | − | 1.13446i | ||||
\(904\) | 160.382 | + | 171.827i | 0.177413 | + | 0.190075i | ||||
\(905\) | 100.014 | + | 173.229i | 0.110512 | + | 0.191413i | ||||
\(906\) | −0.150703 | − | 10.6532i | −0.000166339 | − | 0.0117585i | ||||
\(907\) | −321.020 | + | 556.023i | −0.353936 | + | 0.613035i | −0.986935 | − | 0.161117i | \(-0.948490\pi\) |
0.632999 | + | 0.774152i | \(0.281824\pi\) | |||||||
\(908\) | −370.734 | + | 950.124i | −0.408297 | + | 1.04639i | ||||
\(909\) | 385.867 | − | 163.286i | 0.424496 | − | 0.179632i | ||||
\(910\) | 161.580 | − | 110.397i | 0.177560 | − | 0.121315i | ||||
\(911\) | 23.6696 | + | 13.6656i | 0.0259820 | + | 0.0150007i | 0.512935 | − | 0.858428i | \(-0.328558\pi\) |
−0.486953 | + | 0.873428i | \(0.661892\pi\) | |||||||
\(912\) | −682.488 | − | 710.767i | −0.748342 | − | 0.779349i | ||||
\(913\) | −2.28184 | − | 3.95227i | −0.00249928 | − | 0.00432888i | ||||
\(914\) | 203.169 | − | 422.952i | 0.222286 | − | 0.462748i | ||||
\(915\) | −120.712 | − | 242.448i | −0.131926 | − | 0.264971i | ||||
\(916\) | −781.427 | + | 625.694i | −0.853086 | + | 0.683072i | ||||
\(917\) | − | 1791.12i | − | 1.95323i | ||||||
\(918\) | −253.026 | − | 27.7247i | −0.275627 | − | 0.0302012i | ||||
\(919\) | 678.306i | 0.738091i | 0.929411 | + | 0.369046i | \(0.120315\pi\) | ||||
−0.929411 | + | 0.369046i | \(0.879685\pi\) | |||||||
\(920\) | 17.6914 | − | 57.9629i | 0.0192298 | − | 0.0630031i | ||||
\(921\) | 57.0089 | + | 114.501i | 0.0618990 | + | 0.124323i | ||||
\(922\) | −218.467 | − | 104.943i | −0.236949 | − | 0.113821i | ||||
\(923\) | −328.248 | − | 568.542i | −0.355631 | − | 0.615971i | ||||
\(924\) | −1330.98 | − | 616.332i | −1.44045 | − | 0.667026i | ||||
\(925\) | 145.221 | + | 83.8435i | 0.156996 | + | 0.0906416i | ||||
\(926\) | −408.022 | + | 278.775i | −0.440628 | + | 0.301053i | ||||
\(927\) | −111.610 | + | 900.729i | −0.120399 | + | 0.971660i | ||||
\(928\) | 1490.40 | + | 217.126i | 1.60603 | + | 0.233972i | ||||
\(929\) | −635.493 | + | 1100.71i | −0.684062 | + | 1.18483i | 0.289669 | + | 0.957127i | \(0.406455\pi\) |
−0.973731 | + | 0.227703i | \(0.926879\pi\) | |||||||
\(930\) | 680.654 | − | 9.62871i | 0.731886 | − | 0.0103534i | ||||
\(931\) | −532.006 | − | 921.461i | −0.571435 | − | 0.989754i | ||||
\(932\) | 917.278 | − | 140.110i | 0.984204 | − | 0.150332i | ||||
\(933\) | 493.132 | + | 326.791i | 0.528545 | + | 0.350258i | ||||
\(934\) | −551.431 | + | 41.8713i | −0.590398 | + | 0.0448301i | ||||
\(935\) | 112.904i | 0.120753i | ||||||||
\(936\) | 37.0413 | + | 354.616i | 0.0395740 | + | 0.378863i | ||||
\(937\) | 1049.34 | 1.11990 | 0.559948 | − | 0.828528i | \(-0.310821\pi\) | ||||
0.559948 | + | 0.828528i | \(0.310821\pi\) | |||||||
\(938\) | −81.8695 | − | 1078.19i | −0.0872809 | − | 1.14946i | ||||
\(939\) | 437.719 | + | 27.0158i | 0.466155 | + | 0.0287708i | ||||
\(940\) | −401.721 | + | 61.3608i | −0.427363 | + | 0.0652775i | ||||
\(941\) | 1206.53 | − | 696.589i | 1.28218 | − | 0.740265i | 0.304931 | − | 0.952374i | \(-0.401367\pi\) |
0.977246 | + | 0.212109i | \(0.0680333\pi\) | |||||||
\(942\) | 172.183 | + | 96.1888i | 0.182785 | + | 0.102111i | ||||
\(943\) | 75.6325 | + | 43.6665i | 0.0802042 | + | 0.0463059i | ||||
\(944\) | 393.395 | + | 362.138i | 0.416732 | + | 0.383621i | ||||
\(945\) | −524.394 | − | 98.0937i | −0.554914 | − | 0.103803i | ||||
\(946\) | −845.477 | − | 1237.46i | −0.893739 | − | 1.30810i | ||||
\(947\) | 751.624 | − | 1301.85i | 0.793690 | − | 1.37471i | −0.129978 | − | 0.991517i | \(-0.541491\pi\) |
0.923668 | − | 0.383194i | \(-0.125176\pi\) | |||||||
\(948\) | −104.934 | − | 1163.67i | −0.110690 | − | 1.22750i | ||||
\(949\) | 105.925 | − | 61.1561i | 0.111618 | − | 0.0644427i | ||||
\(950\) | 375.608 | − | 781.931i | 0.395377 | − | 0.823085i | ||||
\(951\) | 13.0242 | − | 211.022i | 0.0136953 | − | 0.221895i | ||||
\(952\) | −362.164 | − | 110.540i | −0.380425 | − | 0.116113i | ||||
\(953\) | 788.992 | 0.827903 | 0.413951 | − | 0.910299i | \(-0.364148\pi\) | ||||
0.413951 | + | 0.910299i | \(0.364148\pi\) | |||||||
\(954\) | −772.524 | − | 496.357i | −0.809773 | − | 0.520291i | ||||
\(955\) | 56.8301 | 0.0595080 | ||||||||
\(956\) | −754.663 | + | 604.264i | −0.789397 | + | 0.632076i | ||||
\(957\) | 1432.72 | + | 949.442i | 1.49710 | + | 0.992102i | ||||
\(958\) | −1278.01 | − | 613.906i | −1.33404 | − | 0.640820i | ||||
\(959\) | −1114.38 | + | 643.386i | −1.16202 | + | 0.670893i | ||||
\(960\) | −374.592 | − | 49.1714i | −0.390200 | − | 0.0512202i | ||||
\(961\) | 1181.66 | − | 2046.69i | 1.22961 | − | 2.12975i | ||||
\(962\) | −44.3441 | − | 64.9031i | −0.0460957 | − | 0.0674669i | ||||
\(963\) | 70.2269 | − | 92.9794i | 0.0729251 | − | 0.0965518i | ||||
\(964\) | −335.886 | + | 860.815i | −0.348429 | + | 0.892961i | ||||
\(965\) | 486.224 | + | 280.721i | 0.503859 | + | 0.290903i | ||||
\(966\) | 118.801 | + | 199.208i | 0.122982 | + | 0.206219i | ||||
\(967\) | 396.835 | − | 229.113i | 0.410377 | − | 0.236931i | −0.280575 | − | 0.959832i | \(-0.590525\pi\) |
0.690952 | + | 0.722901i | \(0.257192\pi\) | |||||||
\(968\) | −148.318 | − | 158.903i | −0.153221 | − | 0.164156i | ||||
\(969\) | −129.387 | − | 259.871i | −0.133526 | − | 0.268185i | ||||
\(970\) | 6.48541 | + | 85.4106i | 0.00668599 | + | 0.0880522i | ||||
\(971\) | −25.2266 | −0.0259800 | −0.0129900 | − | 0.999916i | \(-0.504135\pi\) | ||||
−0.0129900 | + | 0.999916i | \(0.504135\pi\) | |||||||
\(972\) | 611.362 | − | 755.659i | 0.628973 | − | 0.777427i | ||||
\(973\) | 1934.32i | 1.98800i | ||||||||
\(974\) | 30.9510 | + | 407.614i | 0.0317772 | + | 0.418495i | ||||
\(975\) | −280.978 | + | 139.896i | −0.288183 | + | 0.143483i | ||||
\(976\) | 716.308 | + | 160.520i | 0.733922 | + | 0.164468i | ||||
\(977\) | 736.113 | + | 1274.98i | 0.753442 | + | 1.30500i | 0.946145 | + | 0.323743i | \(0.104941\pi\) |
−0.192703 | + | 0.981257i | \(0.561726\pi\) | |||||||
\(978\) | 80.2177 | + | 134.511i | 0.0820222 | + | 0.137536i | ||||
\(979\) | −820.559 | + | 1421.25i | −0.838160 | + | 1.45174i | ||||
\(980\) | −380.046 | − | 148.292i | −0.387802 | − | 0.151318i | ||||
\(981\) | 845.235 | + | 638.402i | 0.861606 | + | 0.650767i | ||||
\(982\) | 257.136 | + | 376.350i | 0.261849 | + | 0.383249i | ||||
\(983\) | 909.975 | + | 525.374i | 0.925712 | + | 0.534460i | 0.885453 | − | 0.464729i | \(-0.153848\pi\) |
0.0402592 | + | 0.999189i | \(0.487182\pi\) | |||||||
\(984\) | 190.714 | − | 509.951i | 0.193815 | − | 0.518243i | ||||
\(985\) | 188.861 | + | 327.117i | 0.191737 | + | 0.332099i | ||||
\(986\) | 399.964 | + | 192.126i | 0.405643 | + | 0.194854i | ||||
\(987\) | 859.163 | − | 1296.49i | 0.870479 | − | 1.31357i | ||||
\(988\) | −317.420 | + | 254.160i | −0.321275 | + | 0.257247i | ||||
\(989\) | 236.996i | 0.239632i | ||||||||
\(990\) | −362.725 | − | 233.056i | −0.366388 | − | 0.235410i | ||||
\(991\) | − | 1021.63i | − | 1.03091i | −0.856917 | − | 0.515454i | \(-0.827623\pi\) | ||
0.856917 | − | 0.515454i | \(-0.172377\pi\) | |||||||
\(992\) | −1143.22 | + | 1448.15i | −1.15244 | + | 1.45983i | ||||
\(993\) | 323.764 | + | 19.9826i | 0.326046 | + | 0.0201234i | ||||
\(994\) | −1152.81 | + | 2399.89i | −1.15977 | + | 2.41437i | ||||
\(995\) | −33.2484 | − | 57.5880i | −0.0334155 | − | 0.0578774i | ||||
\(996\) | 4.48081 | − | 0.404058i | 0.00449881 | − | 0.000405681i | ||||
\(997\) | −331.758 | − | 191.540i | −0.332756 | − | 0.192117i | 0.324308 | − | 0.945952i | \(-0.394869\pi\) |
−0.657064 | + | 0.753835i | \(0.728202\pi\) | |||||||
\(998\) | −429.787 | − | 629.047i | −0.430648 | − | 0.630308i | ||||
\(999\) | −39.4021 | + | 210.638i | −0.0394416 | + | 0.210849i |
(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 | 72.3.p.b.43.20 | yes | 40 | |
3.2 | odd | 2 | 216.3.p.b.19.1 | 40 | |||
4.3 | odd | 2 | 288.3.t.b.79.5 | 40 | |||
8.3 | odd | 2 | inner | 72.3.p.b.43.8 | ✓ | 40 | |
8.5 | even | 2 | 288.3.t.b.79.6 | 40 | |||
9.2 | odd | 6 | 648.3.b.e.163.16 | 20 | |||
9.4 | even | 3 | inner | 72.3.p.b.67.8 | yes | 40 | |
9.5 | odd | 6 | 216.3.p.b.91.13 | 40 | |||
9.7 | even | 3 | 648.3.b.f.163.5 | 20 | |||
12.11 | even | 2 | 864.3.t.b.559.13 | 40 | |||
24.5 | odd | 2 | 864.3.t.b.559.8 | 40 | |||
24.11 | even | 2 | 216.3.p.b.19.13 | 40 | |||
36.7 | odd | 6 | 2592.3.b.e.1135.8 | 20 | |||
36.11 | even | 6 | 2592.3.b.f.1135.13 | 20 | |||
36.23 | even | 6 | 864.3.t.b.847.8 | 40 | |||
36.31 | odd | 6 | 288.3.t.b.175.6 | 40 | |||
72.5 | odd | 6 | 864.3.t.b.847.13 | 40 | |||
72.11 | even | 6 | 648.3.b.e.163.15 | 20 | |||
72.13 | even | 6 | 288.3.t.b.175.5 | 40 | |||
72.29 | odd | 6 | 2592.3.b.f.1135.8 | 20 | |||
72.43 | odd | 6 | 648.3.b.f.163.6 | 20 | |||
72.59 | even | 6 | 216.3.p.b.91.1 | 40 | |||
72.61 | even | 6 | 2592.3.b.e.1135.13 | 20 | |||
72.67 | odd | 6 | inner | 72.3.p.b.67.20 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.3.p.b.43.8 | ✓ | 40 | 8.3 | odd | 2 | inner | |
72.3.p.b.43.20 | yes | 40 | 1.1 | even | 1 | trivial | |
72.3.p.b.67.8 | yes | 40 | 9.4 | even | 3 | inner | |
72.3.p.b.67.20 | yes | 40 | 72.67 | odd | 6 | inner | |
216.3.p.b.19.1 | 40 | 3.2 | odd | 2 | |||
216.3.p.b.19.13 | 40 | 24.11 | even | 2 | |||
216.3.p.b.91.1 | 40 | 72.59 | even | 6 | |||
216.3.p.b.91.13 | 40 | 9.5 | odd | 6 | |||
288.3.t.b.79.5 | 40 | 4.3 | odd | 2 | |||
288.3.t.b.79.6 | 40 | 8.5 | even | 2 | |||
288.3.t.b.175.5 | 40 | 72.13 | even | 6 | |||
288.3.t.b.175.6 | 40 | 36.31 | odd | 6 | |||
648.3.b.e.163.15 | 20 | 72.11 | even | 6 | |||
648.3.b.e.163.16 | 20 | 9.2 | odd | 6 | |||
648.3.b.f.163.5 | 20 | 9.7 | even | 3 | |||
648.3.b.f.163.6 | 20 | 72.43 | odd | 6 | |||
864.3.t.b.559.8 | 40 | 24.5 | odd | 2 | |||
864.3.t.b.559.13 | 40 | 12.11 | even | 2 | |||
864.3.t.b.847.8 | 40 | 36.23 | even | 6 | |||
864.3.t.b.847.13 | 40 | 72.5 | odd | 6 | |||
2592.3.b.e.1135.8 | 20 | 36.7 | odd | 6 | |||
2592.3.b.e.1135.13 | 20 | 72.61 | even | 6 | |||
2592.3.b.f.1135.8 | 20 | 72.29 | odd | 6 | |||
2592.3.b.f.1135.13 | 20 | 36.11 | even | 6 |