Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 18.1 | ||
Character | \(\chi\) | \(=\) | 29.18 |
Dual form | 29.3.f.a.21.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23928 | − | 3.54166i | −0.619640 | − | 1.77083i | −0.636861 | − | 0.770978i | \(-0.719768\pi\) |
0.0172211 | − | 0.999852i | \(-0.494518\pi\) | |||||||
\(3\) | 4.35885 | − | 0.491124i | 1.45295 | − | 0.163708i | 0.650081 | − | 0.759865i | \(-0.274735\pi\) |
0.802868 | + | 0.596157i | \(0.203306\pi\) | |||||||
\(4\) | −7.88021 | + | 6.28426i | −1.97005 | + | 1.57107i | ||||
\(5\) | −0.825141 | + | 1.71342i | −0.165028 | + | 0.342685i | −0.967040 | − | 0.254623i | \(-0.918049\pi\) |
0.802012 | + | 0.597308i | \(0.203763\pi\) | |||||||
\(6\) | −7.14123 | − | 14.8289i | −1.19020 | − | 2.47149i | ||||
\(7\) | −2.97342 | + | 3.72855i | −0.424774 | + | 0.532649i | −0.947459 | − | 0.319876i | \(-0.896359\pi\) |
0.522686 | + | 0.852525i | \(0.324930\pi\) | |||||||
\(8\) | 19.3141 | + | 12.1359i | 2.41427 | + | 1.51698i | ||||
\(9\) | 9.98399 | − | 2.27878i | 1.10933 | − | 0.253198i | ||||
\(10\) | 7.09094 | + | 0.798957i | 0.709094 | + | 0.0798957i | ||||
\(11\) | 8.99985 | − | 5.65498i | 0.818169 | − | 0.514089i | −0.0567334 | − | 0.998389i | \(-0.518069\pi\) |
0.874902 | + | 0.484300i | \(0.160926\pi\) | |||||||
\(12\) | −31.2623 | + | 31.2623i | −2.60519 | + | 2.60519i | ||||
\(13\) | −14.5195 | − | 3.31399i | −1.11689 | − | 0.254922i | −0.376045 | − | 0.926601i | \(-0.622716\pi\) |
−0.740842 | + | 0.671679i | \(0.765573\pi\) | |||||||
\(14\) | 16.8901 | + | 5.91011i | 1.20644 | + | 0.422151i | ||||
\(15\) | −2.75516 | + | 7.87379i | −0.183677 | + | 0.524920i | ||||
\(16\) | 10.0742 | − | 44.1379i | 0.629637 | − | 2.75862i | ||||
\(17\) | −1.89819 | − | 1.89819i | −0.111658 | − | 0.111658i | 0.649070 | − | 0.760728i | \(-0.275158\pi\) |
−0.760728 | + | 0.649070i | \(0.775158\pi\) | |||||||
\(18\) | −20.4436 | − | 32.5358i | −1.13576 | − | 1.80755i | ||||
\(19\) | −0.860526 | + | 7.63738i | −0.0452908 | + | 0.401967i | 0.950530 | + | 0.310634i | \(0.100541\pi\) |
−0.995820 | + | 0.0913331i | \(0.970887\pi\) | |||||||
\(20\) | −4.26531 | − | 18.6875i | −0.213265 | − | 0.934377i | ||||
\(21\) | −11.1295 | + | 17.7125i | −0.529975 | + | 0.843451i | ||||
\(22\) | −31.1814 | − | 24.8663i | −1.41734 | − | 1.13029i | ||||
\(23\) | −12.8995 | + | 6.21208i | −0.560849 | + | 0.270090i | −0.692757 | − | 0.721172i | \(-0.743604\pi\) |
0.131908 | + | 0.991262i | \(0.457890\pi\) | |||||||
\(24\) | 90.1475 | + | 43.4128i | 3.75615 | + | 1.80886i | ||||
\(25\) | 13.3323 | + | 16.7182i | 0.533291 | + | 0.668726i | ||||
\(26\) | 6.25675 | + | 55.5302i | 0.240644 | + | 2.13578i | ||||
\(27\) | 5.13702 | − | 1.79752i | 0.190260 | − | 0.0665748i | ||||
\(28\) | − | 48.0675i | − | 1.71670i | ||||||
\(29\) | −13.6496 | − | 25.5869i | −0.470674 | − | 0.882307i | ||||
\(30\) | 31.3007 | 1.04336 | ||||||||
\(31\) | −5.75026 | − | 16.4333i | −0.185492 | − | 0.530107i | 0.813158 | − | 0.582043i | \(-0.197746\pi\) |
−0.998650 | + | 0.0519363i | \(0.983461\pi\) | |||||||
\(32\) | −78.1384 | + | 8.80409i | −2.44183 | + | 0.275128i | ||||
\(33\) | 36.4517 | − | 29.0692i | 1.10460 | − | 0.880886i | ||||
\(34\) | −4.37035 | + | 9.07513i | −0.128540 | + | 0.266916i | ||||
\(35\) | −3.93509 | − | 8.17129i | −0.112431 | − | 0.233466i | ||||
\(36\) | −64.3555 | + | 80.6993i | −1.78765 | + | 2.24165i | ||||
\(37\) | 47.2178 | + | 29.6689i | 1.27616 | + | 0.801862i | 0.987810 | − | 0.155664i | \(-0.0497518\pi\) |
0.288346 | + | 0.957526i | \(0.406895\pi\) | |||||||
\(38\) | 28.1154 | − | 6.41716i | 0.739880 | − | 0.168873i | ||||
\(39\) | −64.9160 | − | 7.31428i | −1.66451 | − | 0.187546i | ||||
\(40\) | −36.7308 | + | 23.0795i | −0.918269 | + | 0.576987i | ||||
\(41\) | 52.6192 | − | 52.6192i | 1.28339 | − | 1.28339i | 0.344671 | − | 0.938724i | \(-0.387990\pi\) |
0.938724 | − | 0.344671i | \(-0.112010\pi\) | |||||||
\(42\) | 76.5241 | + | 17.4661i | 1.82200 | + | 0.415860i | ||||
\(43\) | −57.3351 | − | 20.0624i | −1.33338 | − | 0.466568i | −0.432887 | − | 0.901448i | \(-0.642505\pi\) |
−0.900488 | + | 0.434880i | \(0.856791\pi\) | |||||||
\(44\) | −35.3834 | + | 101.120i | −0.804168 | + | 2.29818i | ||||
\(45\) | −4.33368 | + | 18.9871i | −0.0963041 | + | 0.421936i | ||||
\(46\) | 37.9872 | + | 37.9872i | 0.825809 | + | 0.825809i | ||||
\(47\) | −14.1131 | − | 22.4608i | −0.300278 | − | 0.477889i | 0.662171 | − | 0.749353i | \(-0.269635\pi\) |
−0.962449 | + | 0.271463i | \(0.912492\pi\) | |||||||
\(48\) | 22.2347 | − | 197.338i | 0.463222 | − | 4.11121i | ||||
\(49\) | 5.84268 | + | 25.5984i | 0.119238 | + | 0.522417i | ||||
\(50\) | 42.6876 | − | 67.9369i | 0.853752 | − | 1.35874i | ||||
\(51\) | −9.20616 | − | 7.34167i | −0.180513 | − | 0.143954i | ||||
\(52\) | 135.243 | − | 65.1296i | 2.60083 | − | 1.25249i | ||||
\(53\) | −7.05587 | − | 3.39793i | −0.133130 | − | 0.0641118i | 0.366133 | − | 0.930562i | \(-0.380681\pi\) |
−0.499263 | + | 0.866451i | \(0.666396\pi\) | |||||||
\(54\) | −12.7324 | − | 15.9659i | −0.235785 | − | 0.295666i | ||||
\(55\) | 2.26323 | + | 20.0867i | 0.0411496 | + | 0.365213i | ||||
\(56\) | −102.678 | + | 35.9286i | −1.83354 | + | 0.641582i | ||||
\(57\) | 33.7128i | 0.591452i | ||||||||
\(58\) | −73.7045 | + | 80.0514i | −1.27077 | + | 1.38020i | ||||
\(59\) | −16.5015 | −0.279686 | −0.139843 | − | 0.990174i | \(-0.544660\pi\) | ||||
−0.139843 | + | 0.990174i | \(0.544660\pi\) | |||||||
\(60\) | −27.7697 | − | 79.3613i | −0.462829 | − | 1.32269i | ||||
\(61\) | 45.2629 | − | 5.09991i | 0.742015 | − | 0.0836050i | 0.267139 | − | 0.963658i | \(-0.413922\pi\) |
0.474876 | + | 0.880053i | \(0.342493\pi\) | |||||||
\(62\) | −51.0750 | + | 40.7309i | −0.823790 | + | 0.656951i | ||||
\(63\) | −21.1900 | + | 44.0015i | −0.336349 | + | 0.698437i | ||||
\(64\) | 49.4436 | + | 102.671i | 0.772556 | + | 1.60423i | ||||
\(65\) | 17.6589 | − | 22.1436i | 0.271676 | − | 0.340671i | ||||
\(66\) | −148.127 | − | 93.0745i | −2.24435 | − | 1.41022i | ||||
\(67\) | −9.62187 | + | 2.19613i | −0.143610 | + | 0.0327781i | −0.293722 | − | 0.955891i | \(-0.594894\pi\) |
0.150112 | + | 0.988669i | \(0.452037\pi\) | |||||||
\(68\) | 26.8869 | + | 3.02942i | 0.395395 | + | 0.0445503i | ||||
\(69\) | −53.1761 | + | 33.4128i | −0.770668 | + | 0.484243i | ||||
\(70\) | −24.0633 | + | 24.0633i | −0.343761 | + | 0.343761i | ||||
\(71\) | 70.8502 | + | 16.1711i | 0.997890 | + | 0.227762i | 0.690117 | − | 0.723698i | \(-0.257559\pi\) |
0.307773 | + | 0.951460i | \(0.400416\pi\) | |||||||
\(72\) | 220.487 | + | 77.1517i | 3.06232 | + | 1.07155i | ||||
\(73\) | 26.3548 | − | 75.3176i | 0.361024 | − | 1.03175i | −0.609925 | − | 0.792459i | \(-0.708800\pi\) |
0.970949 | − | 0.239288i | \(-0.0769140\pi\) | |||||||
\(74\) | 46.5611 | − | 203.997i | 0.629204 | − | 2.75672i | ||||
\(75\) | 66.3241 | + | 66.3241i | 0.884321 | + | 0.884321i | ||||
\(76\) | −41.2141 | − | 65.5919i | −0.542291 | − | 0.863052i | ||||
\(77\) | −5.67545 | + | 50.3710i | −0.0737071 | + | 0.654169i | ||||
\(78\) | 54.5445 | + | 238.975i | 0.699288 | + | 3.06378i | ||||
\(79\) | −34.8581 | + | 55.4763i | −0.441241 | + | 0.702231i | −0.991114 | − | 0.133017i | \(-0.957533\pi\) |
0.549872 | + | 0.835249i | \(0.314676\pi\) | |||||||
\(80\) | 67.3143 | + | 53.6814i | 0.841429 | + | 0.671017i | ||||
\(81\) | −61.5307 | + | 29.6316i | −0.759638 | + | 0.365822i | ||||
\(82\) | −251.569 | − | 121.149i | −3.06792 | − | 1.47743i | ||||
\(83\) | 29.5710 | + | 37.0809i | 0.356278 | + | 0.446758i | 0.927380 | − | 0.374121i | \(-0.122055\pi\) |
−0.571102 | + | 0.820879i | \(0.693484\pi\) | |||||||
\(84\) | −23.6071 | − | 209.519i | −0.281037 | − | 2.49427i | ||||
\(85\) | 4.81867 | − | 1.68613i | 0.0566903 | − | 0.0198368i | ||||
\(86\) | 227.925i | 2.65029i | ||||||||
\(87\) | −72.0626 | − | 104.826i | −0.828306 | − | 1.20489i | ||||
\(88\) | 242.452 | 2.75514 | ||||||||
\(89\) | 8.20827 | + | 23.4579i | 0.0922277 | + | 0.263572i | 0.980752 | − | 0.195258i | \(-0.0625545\pi\) |
−0.888524 | + | 0.458830i | \(0.848269\pi\) | |||||||
\(90\) | 72.6165 | − | 8.18192i | 0.806850 | − | 0.0909102i | ||||
\(91\) | 55.5290 | − | 44.2829i | 0.610209 | − | 0.486625i | ||||
\(92\) | 62.6126 | − | 130.016i | 0.680572 | − | 1.41322i | ||||
\(93\) | −33.1353 | − | 68.8062i | −0.356294 | − | 0.739851i | ||||
\(94\) | −62.0585 | + | 77.8189i | −0.660197 | + | 0.827861i | ||||
\(95\) | −12.3760 | − | 7.77636i | −0.130274 | − | 0.0818564i | ||||
\(96\) | −336.270 | + | 76.7513i | −3.50281 | + | 0.799493i | ||||
\(97\) | 77.3965 | + | 8.72049i | 0.797902 | + | 0.0899020i | 0.501496 | − | 0.865160i | \(-0.332783\pi\) |
0.296406 | + | 0.955062i | \(0.404212\pi\) | |||||||
\(98\) | 83.4203 | − | 52.4164i | 0.851227 | − | 0.534861i | ||||
\(99\) | 76.9680 | − | 76.9680i | 0.777454 | − | 0.777454i | ||||
\(100\) | −210.123 | − | 47.9591i | −2.10123 | − | 0.479591i | ||||
\(101\) | −21.8831 | − | 7.65721i | −0.216664 | − | 0.0758140i | 0.219765 | − | 0.975553i | \(-0.429471\pi\) |
−0.436428 | + | 0.899739i | \(0.643757\pi\) | |||||||
\(102\) | −14.5927 | + | 41.7035i | −0.143065 | + | 0.408858i | ||||
\(103\) | −22.1646 | + | 97.1094i | −0.215190 | + | 0.942810i | 0.745787 | + | 0.666184i | \(0.232073\pi\) |
−0.960978 | + | 0.276626i | \(0.910784\pi\) | |||||||
\(104\) | −240.214 | − | 240.214i | −2.30975 | − | 2.30975i | ||||
\(105\) | −21.1656 | − | 33.6848i | −0.201577 | − | 0.320808i | ||||
\(106\) | −3.29010 | + | 29.2005i | −0.0310387 | + | 0.275476i | ||||
\(107\) | −29.0126 | − | 127.113i | −0.271146 | − | 1.18797i | −0.908662 | − | 0.417532i | \(-0.862895\pi\) |
0.637516 | − | 0.770437i | \(-0.279962\pi\) | |||||||
\(108\) | −29.1847 | + | 46.4472i | −0.270229 | + | 0.430067i | ||||
\(109\) | 79.7825 | + | 63.6245i | 0.731950 | + | 0.583711i | 0.916938 | − | 0.399030i | \(-0.130653\pi\) |
−0.184988 | + | 0.982741i | \(0.559225\pi\) | |||||||
\(110\) | 68.3355 | − | 32.9087i | 0.621232 | − | 0.299170i | ||||
\(111\) | 220.386 | + | 106.132i | 1.98546 | + | 0.956147i | ||||
\(112\) | 134.616 | + | 168.803i | 1.20192 | + | 1.50717i | ||||
\(113\) | −1.99049 | − | 17.6661i | −0.0176149 | − | 0.156337i | 0.981825 | − | 0.189786i | \(-0.0607794\pi\) |
−0.999440 | + | 0.0334490i | \(0.989351\pi\) | |||||||
\(114\) | 119.399 | − | 41.7796i | 1.04736 | − | 0.366488i | ||||
\(115\) | − | 27.2282i | − | 0.236767i | ||||||
\(116\) | 268.356 | + | 115.853i | 2.31342 | + | 0.998732i | ||||
\(117\) | −152.515 | −1.30354 | ||||||||
\(118\) | 20.4499 | + | 58.4426i | 0.173305 | + | 0.495276i | ||||
\(119\) | 12.7216 | − | 1.43338i | 0.106904 | − | 0.0120452i | ||||
\(120\) | −148.769 | + | 118.639i | −1.23974 | + | 0.988660i | ||||
\(121\) | −3.48139 | + | 7.22918i | −0.0287718 | + | 0.0597453i | ||||
\(122\) | −74.1556 | − | 153.986i | −0.607833 | − | 1.26218i | ||||
\(123\) | 203.516 | − | 255.201i | 1.65460 | − | 2.07481i | ||||
\(124\) | 148.584 | + | 93.3618i | 1.19826 | + | 0.752918i | ||||
\(125\) | −85.9982 | + | 19.6285i | −0.687985 | + | 0.157028i | ||||
\(126\) | 182.099 | + | 20.5176i | 1.44523 | + | 0.162838i | ||||
\(127\) | −130.785 | + | 82.1776i | −1.02980 | + | 0.647067i | −0.937256 | − | 0.348641i | \(-0.886643\pi\) |
−0.0925455 | + | 0.995708i | \(0.529500\pi\) | |||||||
\(128\) | 79.9428 | − | 79.9428i | 0.624554 | − | 0.624554i | ||||
\(129\) | −259.768 | − | 59.2904i | −2.01371 | − | 0.459616i | ||||
\(130\) | −100.309 | − | 35.0998i | −0.771611 | − | 0.269998i | ||||
\(131\) | −61.2906 | + | 175.158i | −0.467867 | + | 1.33709i | 0.432374 | + | 0.901694i | \(0.357676\pi\) |
−0.900241 | + | 0.435392i | \(0.856610\pi\) | |||||||
\(132\) | −104.568 | + | 458.144i | −0.792184 | + | 3.47079i | ||||
\(133\) | −25.9176 | − | 25.9176i | −0.194869 | − | 0.194869i | ||||
\(134\) | 19.7021 | + | 31.3558i | 0.147031 | + | 0.233998i | ||||
\(135\) | −1.15885 | + | 10.2851i | −0.00858408 | + | 0.0761859i | ||||
\(136\) | −13.6257 | − | 59.6980i | −0.100189 | − | 0.438956i | ||||
\(137\) | −105.668 | + | 168.169i | −0.771297 | + | 1.22751i | 0.197657 | + | 0.980271i | \(0.436667\pi\) |
−0.968954 | + | 0.247241i | \(0.920476\pi\) | |||||||
\(138\) | 184.237 | + | 146.924i | 1.33505 | + | 1.06467i | ||||
\(139\) | 175.733 | − | 84.6283i | 1.26426 | − | 0.608837i | 0.322964 | − | 0.946411i | \(-0.395321\pi\) |
0.941299 | + | 0.337574i | \(0.109606\pi\) | |||||||
\(140\) | 82.3599 | + | 39.6624i | 0.588285 | + | 0.283303i | ||||
\(141\) | −72.5477 | − | 90.9719i | −0.514523 | − | 0.645191i | ||||
\(142\) | −30.5307 | − | 270.968i | −0.215005 | − | 1.90822i | ||||
\(143\) | −149.414 | + | 52.2823i | −1.04486 | + | 0.365611i | ||||
\(144\) | − | 463.630i | − | 3.21965i | ||||||
\(145\) | 55.1040 | − | 2.27465i | 0.380028 | − | 0.0156872i | ||||
\(146\) | −299.410 | −2.05075 | ||||||||
\(147\) | 38.0393 | + | 108.710i | 0.258771 | + | 0.739525i | ||||
\(148\) | −558.533 | + | 62.9316i | −3.77387 | + | 0.425213i | ||||
\(149\) | 82.4611 | − | 65.7605i | 0.553430 | − | 0.441346i | −0.306417 | − | 0.951897i | \(-0.599130\pi\) |
0.859847 | + | 0.510552i | \(0.170559\pi\) | |||||||
\(150\) | 152.703 | − | 317.091i | 1.01802 | − | 2.11394i | ||||
\(151\) | 28.0926 | + | 58.3349i | 0.186044 | + | 0.386324i | 0.973041 | − | 0.230633i | \(-0.0740796\pi\) |
−0.786997 | + | 0.616957i | \(0.788365\pi\) | |||||||
\(152\) | −109.307 | + | 137.066i | −0.719122 | + | 0.901750i | ||||
\(153\) | −23.2771 | − | 14.6259i | −0.152138 | − | 0.0955944i | ||||
\(154\) | 185.430 | − | 42.3233i | 1.20409 | − | 0.274826i | ||||
\(155\) | 32.9020 | + | 3.70716i | 0.212271 | + | 0.0239172i | ||||
\(156\) | 557.517 | − | 350.311i | 3.57383 | − | 2.24558i | ||||
\(157\) | −1.83043 | + | 1.83043i | −0.0116588 | + | 0.0116588i | −0.712912 | − | 0.701253i | \(-0.752624\pi\) |
0.701253 | + | 0.712912i | \(0.252624\pi\) | |||||||
\(158\) | 239.677 | + | 54.7047i | 1.51694 | + | 0.346232i | ||||
\(159\) | −32.4243 | − | 11.3457i | −0.203926 | − | 0.0713568i | ||||
\(160\) | 49.3901 | − | 141.149i | 0.308688 | − | 0.882180i | ||||
\(161\) | 15.1936 | − | 66.5675i | 0.0943702 | − | 0.413463i | ||||
\(162\) | 181.199 | + | 181.199i | 1.11851 | + | 1.11851i | ||||
\(163\) | −41.5519 | − | 66.1295i | −0.254920 | − | 0.405702i | 0.694607 | − | 0.719390i | \(-0.255578\pi\) |
−0.949526 | + | 0.313687i | \(0.898436\pi\) | |||||||
\(164\) | −83.9777 | + | 745.323i | −0.512059 | + | 4.54465i | ||||
\(165\) | 19.7301 | + | 86.4434i | 0.119577 | + | 0.523899i | ||||
\(166\) | 94.6812 | − | 150.684i | 0.570369 | − | 0.907737i | ||||
\(167\) | −225.933 | − | 180.176i | −1.35289 | − | 1.07890i | −0.989073 | − | 0.147426i | \(-0.952901\pi\) |
−0.363819 | − | 0.931470i | \(-0.618527\pi\) | |||||||
\(168\) | −429.912 | + | 207.035i | −2.55900 | + | 1.23235i | ||||
\(169\) | 47.5707 | + | 22.9088i | 0.281483 | + | 0.135555i | ||||
\(170\) | −11.9434 | − | 14.9765i | −0.0702552 | − | 0.0880972i | ||||
\(171\) | 8.81242 | + | 78.2124i | 0.0515346 | + | 0.457383i | ||||
\(172\) | 577.891 | − | 202.213i | 3.35983 | − | 1.17566i | ||||
\(173\) | 62.9477i | 0.363859i | 0.983312 | + | 0.181930i | \(0.0582343\pi\) | ||||
−0.983312 | + | 0.181930i | \(0.941766\pi\) | |||||||
\(174\) | −281.951 | + | 385.130i | −1.62041 | + | 2.21339i | ||||
\(175\) | −101.977 | −0.582725 | ||||||||
\(176\) | −158.933 | − | 454.205i | −0.903029 | − | 2.58071i | ||||
\(177\) | −71.9274 | + | 8.10427i | −0.406369 | + | 0.0457868i | ||||
\(178\) | 72.9075 | − | 58.1418i | 0.409593 | − | 0.326639i | ||||
\(179\) | −8.61975 | + | 17.8991i | −0.0481551 | + | 0.0999950i | −0.923658 | − | 0.383218i | \(-0.874816\pi\) |
0.875503 | + | 0.483213i | \(0.160530\pi\) | |||||||
\(180\) | −85.1696 | − | 176.856i | −0.473164 | − | 0.982536i | ||||
\(181\) | 216.692 | − | 271.724i | 1.19720 | − | 1.50124i | 0.379891 | − | 0.925031i | \(-0.375962\pi\) |
0.817305 | − | 0.576205i | \(-0.195467\pi\) | |||||||
\(182\) | −225.651 | − | 141.786i | −1.23984 | − | 0.779043i | ||||
\(183\) | 194.789 | − | 44.4594i | 1.06442 | − | 0.242948i | ||||
\(184\) | −324.532 | − | 36.5660i | −1.76376 | − | 0.198728i | ||||
\(185\) | −89.7967 | + | 56.4230i | −0.485387 | + | 0.304989i | ||||
\(186\) | −202.624 | + | 202.624i | −1.08938 | + | 1.08938i | ||||
\(187\) | −27.8177 | − | 6.34920i | −0.148758 | − | 0.0339529i | ||||
\(188\) | 252.364 | + | 88.3058i | 1.34236 | + | 0.469712i | ||||
\(189\) | −8.57235 | + | 24.4984i | −0.0453564 | + | 0.129621i | ||||
\(190\) | −12.2039 | + | 53.4687i | −0.0642309 | + | 0.281414i | ||||
\(191\) | 141.225 | + | 141.225i | 0.739396 | + | 0.739396i | 0.972461 | − | 0.233065i | \(-0.0748756\pi\) |
−0.233065 | + | 0.972461i | \(0.574876\pi\) | |||||||
\(192\) | 265.941 | + | 423.243i | 1.38511 | + | 2.20439i | ||||
\(193\) | −11.1053 | + | 98.5623i | −0.0575404 | + | 0.510685i | 0.931576 | + | 0.363548i | \(0.118435\pi\) |
−0.989116 | + | 0.147138i | \(0.952994\pi\) | |||||||
\(194\) | −65.0310 | − | 284.919i | −0.335211 | − | 1.46866i | ||||
\(195\) | 66.0973 | − | 105.193i | 0.338961 | − | 0.539453i | ||||
\(196\) | −206.909 | − | 165.004i | −1.05566 | − | 0.841859i | ||||
\(197\) | 188.915 | − | 90.9767i | 0.958960 | − | 0.461811i | 0.112141 | − | 0.993692i | \(-0.464229\pi\) |
0.846819 | + | 0.531881i | \(0.178515\pi\) | |||||||
\(198\) | −367.979 | − | 177.209i | −1.85848 | − | 0.894997i | ||||
\(199\) | −37.9160 | − | 47.5452i | −0.190533 | − | 0.238920i | 0.677385 | − | 0.735629i | \(-0.263113\pi\) |
−0.867917 | + | 0.496708i | \(0.834542\pi\) | |||||||
\(200\) | 54.6121 | + | 484.695i | 0.273060 | + | 2.42348i | ||||
\(201\) | −40.8617 | + | 14.2981i | −0.203292 | + | 0.0711349i | ||||
\(202\) | 86.9918i | 0.430652i | ||||||||
\(203\) | 135.988 | + | 25.1875i | 0.669890 | + | 0.124077i | ||||
\(204\) | 118.683 | 0.581782 | ||||||||
\(205\) | 46.7407 | + | 133.577i | 0.228003 | + | 0.651596i | ||||
\(206\) | 371.397 | − | 41.8464i | 1.80290 | − | 0.203138i | ||||
\(207\) | −114.633 | + | 91.4165i | −0.553781 | + | 0.441626i | ||||
\(208\) | −292.545 | + | 607.477i | −1.40647 | + | 2.92056i | ||||
\(209\) | 35.4446 | + | 73.6015i | 0.169592 | + | 0.352160i | ||||
\(210\) | −93.0700 | + | 116.706i | −0.443191 | + | 0.555744i | ||||
\(211\) | 68.7153 | + | 43.1767i | 0.325665 | + | 0.204629i | 0.684934 | − | 0.728605i | \(-0.259831\pi\) |
−0.359269 | + | 0.933234i | \(0.616974\pi\) | |||||||
\(212\) | 76.9552 | − | 17.5645i | 0.362996 | − | 0.0828516i | ||||
\(213\) | 316.767 | + | 35.6911i | 1.48717 | + | 0.167564i | ||||
\(214\) | −414.235 | + | 260.281i | −1.93568 | + | 1.21627i | ||||
\(215\) | 81.6850 | − | 81.6850i | 0.379930 | − | 0.379930i | ||||
\(216\) | 121.031 | + | 27.6246i | 0.560331 | + | 0.127892i | ||||
\(217\) | 78.3702 | + | 27.4229i | 0.361153 | + | 0.126373i | ||||
\(218\) | 126.463 | − | 361.411i | 0.580107 | − | 1.65785i | ||||
\(219\) | 77.8861 | − | 341.241i | 0.355644 | − | 1.55818i | ||||
\(220\) | −144.065 | − | 144.065i | −0.654840 | − | 0.654840i | ||||
\(221\) | 21.2703 | + | 33.8514i | 0.0962455 | + | 0.153174i | ||||
\(222\) | 102.765 | − | 912.061i | 0.462903 | − | 4.10838i | ||||
\(223\) | 38.3341 | + | 167.952i | 0.171902 | + | 0.753150i | 0.985215 | + | 0.171324i | \(0.0548045\pi\) |
−0.813313 | + | 0.581826i | \(0.802338\pi\) | |||||||
\(224\) | 199.512 | − | 317.521i | 0.890677 | − | 1.41750i | ||||
\(225\) | 171.206 | + | 136.533i | 0.760917 | + | 0.606811i | ||||
\(226\) | −60.1005 | + | 28.9429i | −0.265931 | + | 0.128066i | ||||
\(227\) | 73.5809 | + | 35.4347i | 0.324145 | + | 0.156100i | 0.588878 | − | 0.808222i | \(-0.299570\pi\) |
−0.264734 | + | 0.964322i | \(0.585284\pi\) | |||||||
\(228\) | −211.860 | − | 265.664i | −0.929210 | − | 1.16519i | ||||
\(229\) | −49.0011 | − | 434.897i | −0.213979 | − | 1.89911i | −0.399914 | − | 0.916553i | \(-0.630960\pi\) |
0.185936 | − | 0.982562i | \(-0.440468\pi\) | |||||||
\(230\) | −96.4329 | + | 33.7433i | −0.419274 | + | 0.146710i | ||||
\(231\) | 222.347i | 0.962540i | ||||||||
\(232\) | 46.8902 | − | 659.838i | 0.202113 | − | 2.84413i | ||||
\(233\) | −387.776 | −1.66428 | −0.832138 | − | 0.554568i | \(-0.812883\pi\) | ||||
−0.832138 | + | 0.554568i | \(0.812883\pi\) | |||||||
\(234\) | 189.009 | + | 540.155i | 0.807729 | + | 2.30836i | ||||
\(235\) | 50.1301 | − | 5.64831i | 0.213320 | − | 0.0240354i | ||||
\(236\) | 130.035 | − | 103.700i | 0.550996 | − | 0.439405i | ||||
\(237\) | −124.695 | + | 258.932i | −0.526140 | + | 1.09254i | ||||
\(238\) | −20.8422 | − | 43.2792i | −0.0875721 | − | 0.181845i | ||||
\(239\) | −152.868 | + | 191.691i | −0.639616 | + | 0.802054i | −0.990955 | − | 0.134195i | \(-0.957155\pi\) |
0.351339 | + | 0.936248i | \(0.385727\pi\) | |||||||
\(240\) | 319.777 | + | 200.929i | 1.33240 | + | 0.837205i | ||||
\(241\) | −239.467 | + | 54.6568i | −0.993639 | + | 0.226792i | −0.688280 | − | 0.725445i | \(-0.741634\pi\) |
−0.305360 | + | 0.952237i | \(0.598777\pi\) | |||||||
\(242\) | 29.9177 | + | 3.37092i | 0.123627 | + | 0.0139294i | ||||
\(243\) | −295.124 | + | 185.439i | −1.21450 | + | 0.763122i | ||||
\(244\) | −324.632 | + | 324.632i | −1.33046 | + | 1.33046i | ||||
\(245\) | −48.6820 | − | 11.1113i | −0.198702 | − | 0.0453524i | ||||
\(246\) | −1156.05 | − | 404.520i | −4.69939 | − | 1.64439i | ||||
\(247\) | 37.8046 | − | 108.039i | 0.153055 | − | 0.437407i | ||||
\(248\) | 88.3712 | − | 387.179i | 0.356335 | − | 1.56121i | ||||
\(249\) | 147.107 | + | 147.107i | 0.590791 | + | 0.590791i | ||||
\(250\) | 176.093 | + | 280.251i | 0.704374 | + | 1.12100i | ||||
\(251\) | 28.1181 | − | 249.555i | 0.112024 | − | 0.994243i | −0.804415 | − | 0.594068i | \(-0.797521\pi\) |
0.916439 | − | 0.400175i | \(-0.131051\pi\) | |||||||
\(252\) | −109.535 | − | 479.905i | −0.434663 | − | 1.90438i | ||||
\(253\) | −80.9646 | + | 128.854i | −0.320018 | + | 0.509306i | ||||
\(254\) | 453.124 | + | 361.354i | 1.78395 | + | 1.42266i | ||||
\(255\) | 20.1758 | − | 9.71614i | 0.0791206 | − | 0.0381025i | ||||
\(256\) | 28.4807 | + | 13.7156i | 0.111253 | + | 0.0535765i | ||||
\(257\) | −95.7102 | − | 120.017i | −0.372413 | − | 0.466992i | 0.559944 | − | 0.828531i | \(-0.310823\pi\) |
−0.932357 | + | 0.361539i | \(0.882251\pi\) | |||||||
\(258\) | 111.939 | + | 993.488i | 0.433873 | + | 3.85073i | ||||
\(259\) | −251.020 | + | 87.8357i | −0.969189 | + | 0.339134i | ||||
\(260\) | 285.470i | 1.09796i | ||||||||
\(261\) | −194.584 | − | 224.355i | −0.745532 | − | 0.859598i | ||||
\(262\) | 696.308 | 2.65766 | ||||||||
\(263\) | −105.208 | − | 300.667i | −0.400030 | − | 1.14322i | −0.951133 | − | 0.308783i | \(-0.900078\pi\) |
0.551102 | − | 0.834438i | \(-0.314207\pi\) | |||||||
\(264\) | 1056.81 | − | 119.074i | 4.00308 | − | 0.451039i | ||||
\(265\) | 11.6442 | − | 9.28592i | 0.0439403 | − | 0.0350412i | ||||
\(266\) | −59.6722 | + | 123.911i | −0.224331 | + | 0.465829i | ||||
\(267\) | 47.2993 | + | 98.2180i | 0.177151 | + | 0.367858i | ||||
\(268\) | 62.0214 | − | 77.7723i | 0.231423 | − | 0.290195i | ||||
\(269\) | −7.77269 | − | 4.88391i | −0.0288948 | − | 0.0181558i | 0.517507 | − | 0.855679i | \(-0.326860\pi\) |
−0.546402 | + | 0.837523i | \(0.684003\pi\) | |||||||
\(270\) | 37.8624 | − | 8.64185i | 0.140231 | − | 0.0320069i | ||||
\(271\) | −268.279 | − | 30.2278i | −0.989959 | − | 0.111542i | −0.397894 | − | 0.917432i | \(-0.630259\pi\) |
−0.592065 | + | 0.805890i | \(0.701687\pi\) | |||||||
\(272\) | −102.905 | + | 64.6594i | −0.378327 | + | 0.237719i | ||||
\(273\) | 220.294 | − | 220.294i | 0.806937 | − | 0.806937i | ||||
\(274\) | 726.550 | + | 165.830i | 2.65164 | + | 0.605220i | ||||
\(275\) | 214.530 | + | 75.0671i | 0.780107 | + | 0.272971i | ||||
\(276\) | 209.065 | − | 597.472i | 0.757481 | − | 2.16476i | ||||
\(277\) | −11.0452 | + | 48.3921i | −0.0398743 | + | 0.174701i | −0.990944 | − | 0.134276i | \(-0.957129\pi\) |
0.951070 | + | 0.308976i | \(0.0999864\pi\) | |||||||
\(278\) | −517.507 | − | 517.507i | −1.86153 | − | 1.86153i | ||||
\(279\) | −94.8584 | − | 150.966i | −0.339994 | − | 0.541098i | ||||
\(280\) | 23.1630 | − | 205.577i | 0.0827249 | − | 0.734204i | ||||
\(281\) | 43.7617 | + | 191.733i | 0.155736 | + | 0.682323i | 0.991155 | + | 0.132709i | \(0.0423677\pi\) |
−0.835419 | + | 0.549613i | \(0.814775\pi\) | |||||||
\(282\) | −232.285 | + | 369.679i | −0.823705 | + | 1.31092i | ||||
\(283\) | −274.851 | − | 219.186i | −0.971205 | − | 0.774510i | 0.00304189 | − | 0.999995i | \(-0.499032\pi\) |
−0.974247 | + | 0.225486i | \(0.927603\pi\) | |||||||
\(284\) | −659.938 | + | 317.809i | −2.32372 | + | 1.11905i | ||||
\(285\) | −57.7642 | − | 27.8178i | −0.202682 | − | 0.0976063i | ||||
\(286\) | 370.332 | + | 464.382i | 1.29487 | + | 1.62371i | ||||
\(287\) | 39.7343 | + | 352.652i | 0.138447 | + | 1.22875i | ||||
\(288\) | −760.071 | + | 265.960i | −2.63913 | + | 0.923473i | ||||
\(289\) | − | 281.794i | − | 0.975065i | ||||||
\(290\) | −76.3453 | − | 192.341i | −0.263260 | − | 0.663244i | ||||
\(291\) | 341.642 | 1.17403 | ||||||||
\(292\) | 265.634 | + | 759.139i | 0.909706 | + | 2.59979i | ||||
\(293\) | 121.356 | − | 13.6736i | 0.414186 | − | 0.0466675i | 0.0975868 | − | 0.995227i | \(-0.468888\pi\) |
0.316599 | + | 0.948559i | \(0.397459\pi\) | |||||||
\(294\) | 337.873 | − | 269.445i | 1.14923 | − | 0.916479i | ||||
\(295\) | 13.6160 | − | 28.2740i | 0.0461561 | − | 0.0958440i | ||||
\(296\) | 551.912 | + | 1146.06i | 1.86457 | + | 3.87182i | ||||
\(297\) | 36.0675 | − | 45.2272i | 0.121439 | − | 0.152280i | ||||
\(298\) | −335.094 | − | 210.553i | −1.12448 | − | 0.706555i | ||||
\(299\) | 207.882 | − | 47.4477i | 0.695257 | − | 0.158688i | ||||
\(300\) | −939.446 | − | 105.850i | −3.13149 | − | 0.352834i | ||||
\(301\) | 245.285 | − | 154.123i | 0.814900 | − | 0.512036i | ||||
\(302\) | 171.788 | − | 171.788i | 0.568834 | − | 0.568834i | ||||
\(303\) | −99.1455 | − | 22.6293i | −0.327213 | − | 0.0746842i | ||||
\(304\) | 328.429 | + | 114.922i | 1.08036 | + | 0.378034i | ||||
\(305\) | −28.6100 | + | 81.7627i | −0.0938032 | + | 0.268074i | ||||
\(306\) | −22.9533 | + | 100.565i | −0.0750108 | + | 0.328644i | ||||
\(307\) | 131.491 | + | 131.491i | 0.428308 | + | 0.428308i | 0.888052 | − | 0.459743i | \(-0.152059\pi\) |
−0.459743 | + | 0.888052i | \(0.652059\pi\) | |||||||
\(308\) | −271.821 | − | 432.600i | −0.882535 | − | 1.40455i | ||||
\(309\) | −48.9193 | + | 434.171i | −0.158315 | + | 1.40508i | ||||
\(310\) | −27.6453 | − | 121.122i | −0.0891783 | − | 0.390716i | ||||
\(311\) | 37.2084 | − | 59.2169i | 0.119641 | − | 0.190408i | −0.781534 | − | 0.623862i | \(-0.785563\pi\) |
0.901176 | + | 0.433454i | \(0.142705\pi\) | |||||||
\(312\) | −1165.03 | − | 929.081i | −3.73407 | − | 2.97782i | ||||
\(313\) | −113.121 | + | 54.4761i | −0.361408 | + | 0.174045i | −0.605771 | − | 0.795639i | \(-0.707135\pi\) |
0.244363 | + | 0.969684i | \(0.421421\pi\) | |||||||
\(314\) | 8.75117 | + | 4.21434i | 0.0278700 | + | 0.0134215i | ||||
\(315\) | −57.9084 | − | 72.6149i | −0.183836 | − | 0.230523i | ||||
\(316\) | −73.9385 | − | 656.222i | −0.233983 | − | 2.07665i | ||||
\(317\) | 88.6738 | − | 31.0283i | 0.279728 | − | 0.0978811i | −0.186769 | − | 0.982404i | \(-0.559802\pi\) |
0.466497 | + | 0.884523i | \(0.345516\pi\) | |||||||
\(318\) | 128.896i | 0.405334i | ||||||||
\(319\) | −267.537 | − | 153.090i | −0.838676 | − | 0.479907i | ||||
\(320\) | −216.716 | −0.677238 | ||||||||
\(321\) | −188.890 | − | 539.816i | −0.588442 | − | 1.68167i | ||||
\(322\) | −254.589 | + | 28.6853i | −0.790648 | + | 0.0890847i | ||||
\(323\) | 16.1306 | − | 12.8637i | 0.0499400 | − | 0.0398258i | ||||
\(324\) | 298.662 | − | 620.178i | 0.921796 | − | 1.91413i | ||||
\(325\) | −138.175 | − | 286.923i | −0.425153 | − | 0.882840i | ||||
\(326\) | −182.714 | + | 229.116i | −0.560472 | + | 0.702809i | ||||
\(327\) | 379.007 | + | 238.146i | 1.15904 | + | 0.728276i | ||||
\(328\) | 1654.87 | − | 377.714i | 5.04534 | − | 1.15157i | ||||
\(329\) | 125.710 | + | 14.1641i | 0.382098 | + | 0.0430521i | ||||
\(330\) | 281.702 | − | 177.005i | 0.853642 | − | 0.536379i | ||||
\(331\) | −374.103 | + | 374.103i | −1.13022 | + | 1.13022i | −0.140079 | + | 0.990140i | \(0.544736\pi\) |
−0.990140 | + | 0.140079i | \(0.955264\pi\) | |||||||
\(332\) | −466.052 | − | 106.373i | −1.40377 | − | 0.320402i | ||||
\(333\) | 539.031 | + | 188.615i | 1.61871 | + | 0.566411i | ||||
\(334\) | −358.126 | + | 1023.47i | −1.07223 | + | 3.06427i | ||||
\(335\) | 4.17650 | − | 18.2985i | 0.0124672 | − | 0.0546222i | ||||
\(336\) | 669.672 | + | 669.672i | 1.99307 | + | 1.99307i | ||||
\(337\) | 286.168 | + | 455.434i | 0.849164 | + | 1.35144i | 0.934824 | + | 0.355112i | \(0.115557\pi\) |
−0.0856601 | + | 0.996324i | \(0.527300\pi\) | |||||||
\(338\) | 22.1819 | − | 196.870i | 0.0656269 | − | 0.582455i | ||||
\(339\) | −17.3525 | − | 76.0261i | −0.0511872 | − | 0.224266i | ||||
\(340\) | −27.3761 | + | 43.5689i | −0.0805180 | + | 0.128144i | ||||
\(341\) | −144.682 | − | 115.380i | −0.424286 | − | 0.338357i | ||||
\(342\) | 266.081 | − | 128.138i | 0.778014 | − | 0.374672i | ||||
\(343\) | −323.356 | − | 155.720i | −0.942730 | − | 0.453995i | ||||
\(344\) | −863.903 | − | 1083.30i | −2.51135 | − | 3.14913i | ||||
\(345\) | −13.3724 | − | 118.683i | −0.0387606 | − | 0.344010i | ||||
\(346\) | 222.939 | − | 78.0098i | 0.644333 | − | 0.225462i | ||||
\(347\) | − | 178.685i | − | 0.514941i | −0.966286 | − | 0.257471i | \(-0.917111\pi\) | ||
0.966286 | − | 0.257471i | \(-0.0828890\pi\) | |||||||
\(348\) | 1226.62 | + | 373.189i | 3.52477 | + | 1.07238i | ||||
\(349\) | −139.403 | −0.399435 | −0.199718 | − | 0.979853i | \(-0.564002\pi\) | ||||
−0.199718 | + | 0.979853i | \(0.564002\pi\) | |||||||
\(350\) | 126.378 | + | 361.167i | 0.361080 | + | 1.03191i | ||||
\(351\) | −80.5441 | + | 9.07514i | −0.229470 | + | 0.0258551i | ||||
\(352\) | −653.448 | + | 521.107i | −1.85639 | + | 1.48042i | ||||
\(353\) | 92.9580 | − | 193.029i | 0.263337 | − | 0.546825i | −0.726813 | − | 0.686836i | \(-0.758999\pi\) |
0.990150 | + | 0.140010i | \(0.0447135\pi\) | |||||||
\(354\) | 117.841 | + | 244.699i | 0.332883 | + | 0.691240i | ||||
\(355\) | −86.1693 | + | 108.053i | −0.242730 | + | 0.304374i | ||||
\(356\) | −212.098 | − | 133.270i | −0.595782 | − | 0.374355i | ||||
\(357\) | 54.7475 | − | 12.4958i | 0.153354 | − | 0.0350021i | ||||
\(358\) | 74.0748 | + | 8.34623i | 0.206913 | + | 0.0233135i | ||||
\(359\) | 247.342 | − | 155.415i | 0.688975 | − | 0.432911i | −0.141522 | − | 0.989935i | \(-0.545200\pi\) |
0.830497 | + | 0.557024i | \(0.188057\pi\) | |||||||
\(360\) | −314.126 | + | 314.126i | −0.872573 | + | 0.872573i | ||||
\(361\) | 294.360 | + | 67.1857i | 0.815402 | + | 0.186110i | ||||
\(362\) | −1230.90 | − | 430.709i | −3.40027 | − | 1.18980i | ||||
\(363\) | −11.6244 | + | 33.2207i | −0.0320232 | + | 0.0915171i | ||||
\(364\) | −159.295 | + | 697.917i | −0.437624 | + | 1.91736i | ||||
\(365\) | 107.304 | + | 107.304i | 0.293985 | + | 0.293985i | ||||
\(366\) | −398.859 | − | 634.780i | −1.08978 | − | 1.73437i | ||||
\(367\) | −40.7326 | + | 361.512i | −0.110988 | + | 0.985045i | 0.807573 | + | 0.589767i | \(0.200780\pi\) |
−0.918561 | + | 0.395278i | \(0.870648\pi\) | |||||||
\(368\) | 144.236 | + | 631.940i | 0.391946 | + | 1.71723i | ||||
\(369\) | 405.442 | − | 645.257i | 1.09876 | − | 1.74866i | ||||
\(370\) | 311.114 | + | 248.105i | 0.840850 | + | 0.670555i | ||||
\(371\) | 33.6494 | − | 16.2047i | 0.0906991 | − | 0.0436784i | ||||
\(372\) | 693.509 | + | 333.976i | 1.86427 | + | 0.897786i | ||||
\(373\) | 215.373 | + | 270.069i | 0.577408 | + | 0.724047i | 0.981668 | − | 0.190597i | \(-0.0610424\pi\) |
−0.404260 | + | 0.914644i | \(0.632471\pi\) | |||||||
\(374\) | 11.9872 | + | 106.389i | 0.0320513 | + | 0.284463i | ||||
\(375\) | −365.213 | + | 127.793i | −0.973901 | + | 0.340783i | ||||
\(376\) | − | 605.085i | − | 1.60927i | ||||||
\(377\) | 113.390 | + | 416.745i | 0.300770 | + | 1.10542i | ||||
\(378\) | 97.3885 | 0.257641 | ||||||||
\(379\) | −153.162 | − | 437.711i | −0.404121 | − | 1.15491i | −0.948693 | − | 0.316197i | \(-0.897594\pi\) |
0.544573 | − | 0.838714i | \(-0.316692\pi\) | |||||||
\(380\) | 146.394 | − | 16.4947i | 0.385248 | − | 0.0434070i | ||||
\(381\) | −529.712 | + | 422.431i | −1.39032 | + | 1.10874i | ||||
\(382\) | 325.153 | − | 675.186i | 0.851185 | − | 1.76750i | ||||
\(383\) | −180.735 | − | 375.300i | −0.471893 | − | 0.979895i | −0.992052 | − | 0.125826i | \(-0.959842\pi\) |
0.520160 | − | 0.854069i | \(-0.325872\pi\) | |||||||
\(384\) | 309.197 | − | 387.720i | 0.805200 | − | 1.00969i | ||||
\(385\) | −81.6237 | − | 51.2876i | −0.212010 | − | 0.133215i | ||||
\(386\) | 362.837 | − | 82.8151i | 0.939992 | − | 0.214547i | ||||
\(387\) | −618.151 | − | 69.6489i | −1.59729 | − | 0.179971i | ||||
\(388\) | −664.703 | + | 417.661i | −1.71315 | + | 1.07644i | ||||
\(389\) | 161.284 | − | 161.284i | 0.414612 | − | 0.414612i | −0.468730 | − | 0.883341i | \(-0.655288\pi\) |
0.883341 | + | 0.468730i | \(0.155288\pi\) | |||||||
\(390\) | −454.472 | − | 103.730i | −1.16531 | − | 0.265975i | ||||
\(391\) | 36.2774 | + | 12.6940i | 0.0927812 | + | 0.0324655i | ||||
\(392\) | −197.813 | + | 565.317i | −0.504625 | + | 1.44214i | ||||
\(393\) | −181.132 | + | 793.590i | −0.460895 | + | 2.01931i | ||||
\(394\) | −556.328 | − | 556.328i | −1.41200 | − | 1.41200i | ||||
\(395\) | −66.2915 | − | 105.502i | −0.167827 | − | 0.267095i | ||||
\(396\) | −122.837 | + | 1090.21i | −0.310195 | + | 2.75306i | ||||
\(397\) | 50.2171 | + | 220.015i | 0.126491 | + | 0.554195i | 0.997966 | + | 0.0637538i | \(0.0203072\pi\) |
−0.871474 | + | 0.490441i | \(0.836836\pi\) | |||||||
\(398\) | −121.400 | + | 193.207i | −0.305026 | + | 0.485446i | ||||
\(399\) | −125.700 | − | 100.242i | −0.315037 | − | 0.251233i | ||||
\(400\) | 872.217 | − | 420.038i | 2.18054 | − | 1.05009i | ||||
\(401\) | −103.557 | − | 49.8706i | −0.258248 | − | 0.124366i | 0.300281 | − | 0.953851i | \(-0.402920\pi\) |
−0.558529 | + | 0.829485i | \(0.688634\pi\) | |||||||
\(402\) | 101.278 | + | 126.999i | 0.251936 | + | 0.315917i | ||||
\(403\) | 29.0313 | + | 257.660i | 0.0720381 | + | 0.639356i | ||||
\(404\) | 220.563 | − | 77.1784i | 0.545948 | − | 0.191036i | ||||
\(405\) | − | 129.878i | − | 0.320687i | ||||||
\(406\) | −79.3213 | − | 512.837i | −0.195373 | − | 1.26314i | ||||
\(407\) | 592.730 | 1.45634 | ||||||||
\(408\) | −88.7114 | − | 253.523i | −0.217430 | − | 0.621379i | ||||
\(409\) | 202.526 | − | 22.8191i | 0.495172 | − | 0.0557925i | 0.139153 | − | 0.990271i | \(-0.455562\pi\) |
0.356020 | + | 0.934478i | \(0.384134\pi\) | |||||||
\(410\) | 415.160 | − | 331.079i | 1.01259 | − | 0.807510i | ||||
\(411\) | −377.997 | + | 784.920i | −0.919702 | + | 1.90978i | ||||
\(412\) | −435.599 | − | 904.531i | −1.05728 | − | 2.19546i | ||||
\(413\) | 49.0657 | − | 61.5265i | 0.118803 | − | 0.148975i | ||||
\(414\) | 465.828 | + | 292.699i | 1.12519 | + | 0.707003i | ||||
\(415\) | −87.9356 | + | 20.0707i | −0.211893 | + | 0.0483632i | ||||
\(416\) | 1163.71 | + | 131.119i | 2.79738 | + | 0.315189i | ||||
\(417\) | 724.428 | − | 455.188i | 1.73724 | − | 1.09158i | ||||
\(418\) | 216.746 | − | 216.746i | 0.518531 | − | 0.518531i | ||||
\(419\) | −255.808 | − | 58.3864i | −0.610519 | − | 0.139347i | −0.0939279 | − | 0.995579i | \(-0.529942\pi\) |
−0.516592 | + | 0.856232i | \(0.672799\pi\) | |||||||
\(420\) | 378.473 | + | 132.434i | 0.901127 | + | 0.315318i | ||||
\(421\) | −43.6026 | + | 124.609i | −0.103569 | + | 0.295984i | −0.983994 | − | 0.178202i | \(-0.942972\pi\) |
0.880425 | + | 0.474186i | \(0.157258\pi\) | |||||||
\(422\) | 67.7596 | − | 296.874i | 0.160568 | − | 0.703493i | ||||
\(423\) | −192.088 | − | 192.088i | −0.454108 | − | 0.454108i | ||||
\(424\) | −95.0411 | − | 151.257i | −0.224154 | − | 0.356738i | ||||
\(425\) | 6.42703 | − | 57.0414i | 0.0151224 | − | 0.134215i | ||||
\(426\) | −266.157 | − | 1166.11i | −0.624783 | − | 2.73735i | ||||
\(427\) | −115.570 | + | 183.929i | −0.270656 | + | 0.430747i | ||||
\(428\) | 1027.44 | + | 819.352i | 2.40055 | + | 1.91437i | ||||
\(429\) | −625.597 | + | 301.272i | −1.45827 | + | 0.702265i | ||||
\(430\) | −390.531 | − | 188.070i | −0.908212 | − | 0.437372i | ||||
\(431\) | 509.988 | + | 639.505i | 1.18327 | + | 1.48377i | 0.838346 | + | 0.545138i | \(0.183523\pi\) |
0.344921 | + | 0.938632i | \(0.387906\pi\) | |||||||
\(432\) | −27.5875 | − | 244.846i | −0.0638600 | − | 0.566773i | ||||
\(433\) | 531.332 | − | 185.921i | 1.22710 | − | 0.429379i | 0.362565 | − | 0.931959i | \(-0.381901\pi\) |
0.864531 | + | 0.502579i | \(0.167615\pi\) | |||||||
\(434\) | − | 311.545i | − | 0.717847i | ||||||
\(435\) | 239.073 | − | 36.9777i | 0.549592 | − | 0.0850063i | ||||
\(436\) | −1028.54 | −2.35903 | ||||||||
\(437\) | −36.3436 | − | 103.864i | −0.0831662 | − | 0.237675i | ||||
\(438\) | −1305.08 | + | 147.048i | −2.97964 | + | 0.335725i | ||||
\(439\) | −24.2672 | + | 19.3524i | −0.0552783 | + | 0.0440829i | −0.650739 | − | 0.759301i | \(-0.725541\pi\) |
0.595461 | + | 0.803384i | \(0.296969\pi\) | |||||||
\(440\) | −200.057 | + | 415.424i | −0.454676 | + | 0.944144i | ||||
\(441\) | 116.666 | + | 242.260i | 0.264550 | + | 0.549343i | ||||
\(442\) | 93.5304 | − | 117.283i | 0.211607 | − | 0.265347i | ||||
\(443\) | 369.407 | + | 232.114i | 0.833876 | + | 0.523959i | 0.879998 | − | 0.474977i | \(-0.157544\pi\) |
−0.0461226 | + | 0.998936i | \(0.514686\pi\) | |||||||
\(444\) | −2403.65 | + | 548.618i | −5.41363 | + | 1.23563i | ||||
\(445\) | −46.9662 | − | 5.29182i | −0.105542 | − | 0.0118917i | ||||
\(446\) | 547.324 | − | 343.906i | 1.22718 | − | 0.771091i | ||||
\(447\) | 327.139 | − | 327.139i | 0.731854 | − | 0.731854i | ||||
\(448\) | −529.829 | − | 120.930i | −1.18265 | − | 0.269933i | ||||
\(449\) | 146.230 | + | 51.1681i | 0.325679 | + | 0.113960i | 0.488166 | − | 0.872751i | \(-0.337666\pi\) |
−0.162487 | + | 0.986711i | \(0.551952\pi\) | |||||||
\(450\) | 271.379 | − | 775.557i | 0.603065 | − | 1.72346i | ||||
\(451\) | 176.004 | − | 771.126i | 0.390254 | − | 1.70981i | ||||
\(452\) | 126.704 | + | 126.704i | 0.280318 | + | 0.280318i | ||||
\(453\) | 151.101 | + | 240.476i | 0.333557 | + | 0.530852i | ||||
\(454\) | 34.3102 | − | 304.512i | 0.0755732 | − | 0.670731i | ||||
\(455\) | 30.0561 | + | 131.684i | 0.0660573 | + | 0.289416i | ||||
\(456\) | −409.134 | + | 651.133i | −0.897223 | + | 1.42792i | ||||
\(457\) | −108.959 | − | 86.8918i | −0.238422 | − | 0.190135i | 0.496988 | − | 0.867757i | \(-0.334439\pi\) |
−0.735410 | + | 0.677622i | \(0.763011\pi\) | |||||||
\(458\) | −1479.53 | + | 712.505i | −3.23042 | + | 1.55569i | ||||
\(459\) | −13.1631 | − | 6.33900i | −0.0286777 | − | 0.0138105i | ||||
\(460\) | 171.109 | + | 214.564i | 0.371976 | + | 0.466443i | ||||
\(461\) | −79.8883 | − | 709.028i | −0.173293 | − | 1.53802i | −0.716000 | − | 0.698100i | \(-0.754029\pi\) |
0.542707 | − | 0.839922i | \(-0.317399\pi\) | |||||||
\(462\) | 787.476 | − | 275.550i | 1.70449 | − | 0.596428i | ||||
\(463\) | − | 260.818i | − | 0.563321i | −0.959514 | − | 0.281660i | \(-0.909115\pi\) | ||
0.959514 | − | 0.281660i | \(-0.0908852\pi\) | |||||||
\(464\) | −1266.86 | + | 344.696i | −2.73031 | + | 0.742879i | ||||
\(465\) | 145.235 | 0.312334 | ||||||||
\(466\) | 480.564 | + | 1373.37i | 1.03125 | + | 2.94715i | ||||
\(467\) | 422.279 | − | 47.5794i | 0.904237 | − | 0.101883i | 0.352414 | − | 0.935844i | \(-0.385361\pi\) |
0.551823 | + | 0.833961i | \(0.313932\pi\) | |||||||
\(468\) | 1201.85 | − | 958.442i | 2.56805 | − | 2.04795i | ||||
\(469\) | 20.4215 | − | 42.4056i | 0.0435426 | − | 0.0904170i | ||||
\(470\) | −82.1297 | − | 170.544i | −0.174744 | − | 0.362860i | ||||
\(471\) | −7.07959 | + | 8.87753i | −0.0150310 | + | 0.0188482i | ||||
\(472\) | −318.711 | − | 200.260i | −0.675236 | − | 0.424279i | ||||
\(473\) | −629.461 | + | 143.670i | −1.33078 | + | 0.303743i | ||||
\(474\) | 1071.58 | + | 120.738i | 2.26072 | + | 0.254722i | ||||
\(475\) | −139.156 | + | 87.4373i | −0.292959 | + | 0.184078i | ||||
\(476\) | −91.2411 | + | 91.2411i | −0.191683 | + | 0.191683i | ||||
\(477\) | −78.1888 | − | 17.8461i | −0.163918 | − | 0.0374132i | ||||
\(478\) | 868.350 | + | 303.849i | 1.81663 | + | 0.635667i | ||||
\(479\) | 250.556 | − | 716.048i | 0.523081 | − | 1.49488i | −0.314869 | − | 0.949135i | \(-0.601961\pi\) |
0.837951 | − | 0.545746i | \(-0.183754\pi\) | |||||||
\(480\) | 145.962 | − | 639.503i | 0.304088 | − | 1.33230i | ||||
\(481\) | −587.258 | − | 587.258i | −1.22091 | − | 1.22091i | ||||
\(482\) | 490.343 | + | 780.376i | 1.01731 | + | 1.61904i | ||||
\(483\) | 33.5337 | − | 297.620i | 0.0694279 | − | 0.616190i | ||||
\(484\) | −17.9960 | − | 78.8455i | −0.0371818 | − | 0.162904i | ||||
\(485\) | −78.8049 | + | 125.417i | −0.162484 | + | 0.258592i | ||||
\(486\) | 1022.50 | + | 815.418i | 2.10391 | + | 1.67782i | ||||
\(487\) | 217.553 | − | 104.768i | 0.446720 | − | 0.215129i | −0.196979 | − | 0.980408i | \(-0.563113\pi\) |
0.643699 | + | 0.765279i | \(0.277399\pi\) | |||||||
\(488\) | 936.105 | + | 450.805i | 1.91825 | + | 0.923780i | ||||
\(489\) | −213.596 | − | 267.841i | −0.436802 | − | 0.547732i | ||||
\(490\) | 20.9780 | + | 186.185i | 0.0428123 | + | 0.379970i | ||||
\(491\) | −234.084 | + | 81.9096i | −0.476750 | + | 0.166822i | −0.557948 | − | 0.829876i | \(-0.688411\pi\) |
0.0811980 | + | 0.996698i | \(0.474125\pi\) | |||||||
\(492\) | 3289.99i | 6.68698i | ||||||||
\(493\) | −22.6594 | + | 74.4782i | −0.0459622 | + | 0.151071i | ||||
\(494\) | −429.489 | −0.869412 | ||||||||
\(495\) | 68.3692 | + | 195.388i | 0.138120 | + | 0.394723i | ||||
\(496\) | −783.262 | + | 88.2524i | −1.57916 | + | 0.177928i | ||||
\(497\) | −270.962 | + | 216.085i | −0.545194 | + | 0.434778i | ||||
\(498\) | 338.696 | − | 703.310i | 0.680113 | − | 1.41227i | ||||
\(499\) | 371.665 | + | 771.771i | 0.744821 | + | 1.54664i | 0.834714 | + | 0.550684i | \(0.185633\pi\) |
−0.0898930 | + | 0.995951i | \(0.528653\pi\) | |||||||
\(500\) | 554.333 | − | 695.112i | 1.10867 | − | 1.39022i | ||||
\(501\) | −1073.30 | − | 674.396i | −2.14231 | − | 1.34610i | ||||
\(502\) | −918.685 | + | 209.684i | −1.83005 | + | 0.417697i | ||||
\(503\) | 150.656 | + | 16.9748i | 0.299514 | + | 0.0337471i | 0.260443 | − | 0.965489i | \(-0.416131\pi\) |
0.0390713 | + | 0.999236i | \(0.487560\pi\) | |||||||
\(504\) | −943.263 | + | 592.691i | −1.87155 | + | 1.17598i | ||||
\(505\) | 31.1766 | − | 31.1766i | 0.0617359 | − | 0.0617359i | ||||
\(506\) | 556.696 | + | 127.062i | 1.10019 | + | 0.251111i | ||||
\(507\) | 218.604 | + | 76.4930i | 0.431173 | + | 0.150874i | ||||
\(508\) | 514.187 | − | 1469.46i | 1.01218 | − | 2.89264i | ||||
\(509\) | −86.8522 | + | 380.524i | −0.170633 | + | 0.747592i | 0.815106 | + | 0.579311i | \(0.196678\pi\) |
−0.985739 | + | 0.168280i | \(0.946179\pi\) | |||||||
\(510\) | −59.4147 | − | 59.4147i | −0.116499 | − | 0.116499i | ||||
\(511\) | 202.461 | + | 322.215i | 0.396206 | + | 0.630558i | ||||
\(512\) | 63.9135 | − | 567.248i | 0.124831 | − | 1.10791i | ||||
\(513\) | 9.30780 | + | 40.7801i | 0.0181439 | + | 0.0794935i | ||||
\(514\) | −306.447 | + | 487.708i | −0.596200 | + | 0.948848i | ||||
\(515\) | −148.101 | − | 118.106i | −0.287574 | − | 0.229333i | ||||
\(516\) | 2419.63 | − | 1165.23i | 4.68920 | − | 2.25820i | ||||
\(517\) | −254.031 | − | 122.335i | −0.491356 | − | 0.236624i | ||||
\(518\) | 622.168 | + | 780.174i | 1.20110 | + | 1.50613i | ||||
\(519\) | 30.9151 | + | 274.379i | 0.0595667 | + | 0.528669i | ||||
\(520\) | 609.799 | − | 213.378i | 1.17269 | − | 0.410342i | ||||
\(521\) | − | 732.499i | − | 1.40595i | −0.711215 | − | 0.702974i | \(-0.751855\pi\) | ||
0.711215 | − | 0.702974i | \(-0.248145\pi\) | |||||||
\(522\) | −553.445 | + | 967.189i | −1.06024 | + | 1.85285i | ||||
\(523\) | 165.620 | 0.316672 | 0.158336 | − | 0.987385i | \(-0.449387\pi\) | ||||
0.158336 | + | 0.987385i | \(0.449387\pi\) | |||||||
\(524\) | −617.758 | − | 1765.45i | −1.17893 | − | 3.36918i | ||||
\(525\) | −444.501 | + | 50.0833i | −0.846669 | + | 0.0953967i | ||||
\(526\) | −934.478 | + | 745.221i | −1.77657 | + | 1.41677i | ||||
\(527\) | −20.2784 | + | 42.1086i | −0.0384790 | + | 0.0799025i | ||||
\(528\) | −915.835 | − | 1901.75i | −1.73454 | − | 3.60180i | ||||
\(529\) | −202.018 | + | 253.323i | −0.381887 | + | 0.478872i | ||||
\(530\) | −47.3180 | − | 29.7318i | −0.0892792 | − | 0.0560978i | ||||
\(531\) | −164.750 | + | 37.6032i | −0.310264 | + | 0.0708158i | ||||
\(532\) | 367.109 | + | 41.3633i | 0.690055 | + | 0.0777505i | ||||
\(533\) | −938.386 | + | 589.627i | −1.76057 | + | 1.10624i | ||||
\(534\) | 289.238 | − | 289.238i | 0.541644 | − | 0.541644i | ||||
\(535\) | 241.737 | + | 55.1750i | 0.451846 | + | 0.103131i | ||||
\(536\) | −212.490 | − | 74.3535i | −0.396437 | − | 0.138719i | ||||
\(537\) | −28.7815 | + | 82.2528i | −0.0535968 | + | 0.153171i | ||||
\(538\) | −7.66459 | + | 33.5808i | −0.0142465 | + | 0.0624178i | ||||
\(539\) | 197.342 | + | 197.342i | 0.366126 | + | 0.366126i | ||||
\(540\) | −55.5022 | − | 88.3312i | −0.102782 | − | 0.163576i | ||||
\(541\) | −10.2581 | + | 91.0431i | −0.0189614 | + | 0.168287i | −0.999624 | − | 0.0274190i | \(-0.991271\pi\) |
0.980663 | + | 0.195706i | \(0.0626997\pi\) | |||||||
\(542\) | 225.416 | + | 987.613i | 0.415897 | + | 1.82217i | ||||
\(543\) | 811.079 | − | 1290.83i | 1.49370 | − | 2.37721i | ||||
\(544\) | 165.033 | + | 131.610i | 0.303370 | + | 0.241930i | ||||
\(545\) | −174.847 | + | 84.2021i | −0.320821 | + | 0.154499i | ||||
\(546\) | −1053.21 | − | 507.200i | −1.92896 | − | 0.928938i | ||||
\(547\) | −610.593 | − | 765.660i | −1.11626 | − | 1.39974i | −0.906612 | − | 0.421966i | \(-0.861340\pi\) |
−0.209646 | − | 0.977777i | \(-0.567231\pi\) | |||||||
\(548\) | −224.135 | − | 1989.25i | −0.409005 | − | 3.63002i | ||||
\(549\) | 440.283 | − | 154.062i | 0.801972 | − | 0.280622i | ||||
\(550\) | − | 852.820i | − | 1.55058i | ||||||
\(551\) | 207.163 | − | 82.2286i | 0.375976 | − | 0.149235i | ||||
\(552\) | −1432.54 | −2.59519 | ||||||||
\(553\) | −103.198 | − | 294.924i | −0.186615 | − | 0.533316i | ||||
\(554\) | 185.076 | − | 20.8531i | 0.334073 | − | 0.0376410i | ||||
\(555\) | −363.699 | + | 290.040i | −0.655314 | + | 0.522595i | ||||
\(556\) | −852.984 | + | 1771.24i | −1.53414 | + | 3.18568i | ||||
\(557\) | 80.1457 | + | 166.424i | 0.143888 | + | 0.298787i | 0.960441 | − | 0.278484i | \(-0.0898320\pi\) |
−0.816553 | + | 0.577271i | \(0.804118\pi\) | |||||||
\(558\) | −417.115 | + | 523.046i | −0.747518 | + | 0.937358i | ||||
\(559\) | 765.993 | + | 481.305i | 1.37029 | + | 0.861011i | ||||
\(560\) | −400.307 | + | 91.3675i | −0.714834 | + | 0.163156i | ||||
\(561\) | −124.371 | − | 14.0133i | −0.221695 | − | 0.0249791i | ||||
\(562\) | 624.819 | − | 392.600i | 1.11178 | − | 0.698576i | ||||
\(563\) | −686.067 | + | 686.067i | −1.21859 | + | 1.21859i | −0.250466 | + | 0.968125i | \(0.580584\pi\) |
−0.968125 | + | 0.250466i | \(0.919416\pi\) | |||||||
\(564\) | 1143.38 | + | 260.970i | 2.02727 | + | 0.462712i | ||||
\(565\) | 31.9119 | + | 11.1665i | 0.0564812 | + | 0.0197636i | ||||
\(566\) | −435.666 | + | 1245.06i | −0.769728 | + | 2.19976i | ||||
\(567\) | 72.4734 | − | 317.527i | 0.127819 | − | 0.560012i | ||||
\(568\) | 1172.16 | + | 1172.16i | 2.06366 | + | 2.06366i | ||||
\(569\) | 533.544 | + | 849.131i | 0.937688 | + | 1.49232i | 0.869076 | + | 0.494678i | \(0.164714\pi\) |
0.0686111 | + | 0.997643i | \(0.478143\pi\) | |||||||
\(570\) | −26.9351 | + | 239.055i | −0.0472545 | + | 0.419395i | ||||
\(571\) | −31.8431 | − | 139.514i | −0.0557673 | − | 0.244332i | 0.939360 | − | 0.342933i | \(-0.111420\pi\) |
−0.995127 | + | 0.0986008i | \(0.968563\pi\) | |||||||
\(572\) | 848.861 | − | 1350.95i | 1.48402 | − | 2.36181i | ||||
\(573\) | 684.935 | + | 546.217i | 1.19535 | + | 0.953259i | ||||
\(574\) | 1199.73 | − | 577.760i | 2.09012 | − | 1.00655i | ||||
\(575\) | −275.835 | − | 132.835i | −0.479712 | − | 0.231017i | ||||
\(576\) | 727.608 | + | 912.392i | 1.26321 | + | 1.58401i | ||||
\(577\) | 31.8424 | + | 282.609i | 0.0551861 | + | 0.489790i | 0.990656 | + | 0.136384i | \(0.0435481\pi\) |
−0.935470 | + | 0.353406i | \(0.885023\pi\) | |||||||
\(578\) | −998.018 | + | 349.222i | −1.72667 | + | 0.604189i | ||||
\(579\) | 435.072i | 0.751420i | ||||||||
\(580\) | −419.937 | + | 364.213i | −0.724029 | + | 0.627953i | ||||
\(581\) | −226.185 | −0.389303 | ||||||||
\(582\) | −423.391 | − | 1209.98i | −0.727476 | − | 2.07901i | ||||
\(583\) | −82.7170 | + | 9.31997i | −0.141882 | + | 0.0159862i | ||||
\(584\) | 1423.06 | − | 1134.86i | 2.43675 | − | 1.94325i | ||||
\(585\) | 125.846 | − | 261.322i | 0.215122 | − | 0.446705i | ||||
\(586\) | −198.822 | − | 412.858i | −0.339286 | − | 0.704535i | ||||
\(587\) | −374.892 | + | 470.100i | −0.638658 | + | 0.800852i | −0.990834 | − | 0.135082i | \(-0.956870\pi\) |
0.352176 | + | 0.935934i | \(0.385442\pi\) | |||||||
\(588\) | −982.921 | − | 617.610i | −1.67163 | − | 1.05036i | ||||
\(589\) | 130.456 | − | 29.7756i | 0.221487 | − | 0.0505529i | ||||
\(590\) | −117.011 | − | 13.1840i | −0.198324 | − | 0.0223457i | ||||
\(591\) | 778.771 | − | 489.334i | 1.31772 | − | 0.827977i | ||||
\(592\) | 1785.21 | − | 1785.21i | 3.01555 | − | 3.01555i | ||||
\(593\) | −568.471 | − | 129.750i | −0.958635 | − | 0.218802i | −0.285547 | − | 0.958365i | \(-0.592175\pi\) |
−0.673088 | + | 0.739562i | \(0.735033\pi\) | |||||||
\(594\) | −204.877 | − | 71.6895i | −0.344911 | − | 0.120689i | ||||
\(595\) | −8.04112 | + | 22.9802i | −0.0135145 | + | 0.0386222i | ||||
\(596\) | −236.555 | + | 1036.41i | −0.396904 | + | 1.73895i | ||||
\(597\) | −188.621 | − | 188.621i | −0.315947 | − | 0.315947i | ||||
\(598\) | −425.667 | − | 677.446i | −0.711818 | − | 1.13285i | ||||
\(599\) | 27.8771 | − | 247.416i | 0.0465394 | − | 0.413049i | −0.948744 | − | 0.316044i | \(-0.897645\pi\) |
0.995284 | − | 0.0970048i | \(-0.0309262\pi\) | |||||||
\(600\) | 476.091 | + | 2085.89i | 0.793485 | + | 3.47649i | ||||
\(601\) | −200.610 | + | 319.269i | −0.333794 | + | 0.531230i | −0.970881 | − | 0.239562i | \(-0.922996\pi\) |
0.637087 | + | 0.770792i | \(0.280139\pi\) | |||||||
\(602\) | −849.827 | − | 677.715i | −1.41167 | − | 1.12577i | ||||
\(603\) | −91.0601 | + | 43.8523i | −0.151012 | + | 0.0727235i | ||||
\(604\) | −587.968 | − | 283.150i | −0.973457 | − | 0.468792i | ||||
\(605\) | −9.51401 | − | 11.9302i | −0.0157256 | − | 0.0197193i | ||||
\(606\) | 42.7237 | + | 379.184i | 0.0705012 | + | 0.625716i | ||||
\(607\) | −419.731 | + | 146.870i | −0.691484 | + | 0.241961i | −0.653066 | − | 0.757301i | \(-0.726518\pi\) |
−0.0384179 | + | 0.999262i | \(0.512232\pi\) | |||||||
\(608\) | − | 604.349i | − | 0.993995i | ||||||
\(609\) | 605.120 | + | 43.0017i | 0.993629 | + | 0.0706104i | ||||
\(610\) | 325.031 | 0.532838 | ||||||||
\(611\) | 130.480 | + | 372.891i | 0.213552 | + | 0.610296i | ||||
\(612\) | 275.341 | − | 31.0235i | 0.449904 | − | 0.0506920i | ||||
\(613\) | 573.077 | − | 457.014i | 0.934873 | − | 0.745536i | −0.0323471 | − | 0.999477i | \(-0.510298\pi\) |
0.967220 | + | 0.253941i | \(0.0817268\pi\) | |||||||
\(614\) | 302.741 | − | 628.649i | 0.493064 | − | 1.02386i | ||||
\(615\) | 269.338 | + | 559.287i | 0.437948 | + | 0.909409i | ||||
\(616\) | −720.912 | + | 903.995i | −1.17031 | + | 1.46752i | ||||
\(617\) | −493.555 | − | 310.121i | −0.799927 | − | 0.502628i | 0.0689708 | − | 0.997619i | \(-0.478028\pi\) |
−0.868898 | + | 0.494991i | \(0.835171\pi\) | |||||||
\(618\) | 1598.31 | − | 364.804i | 2.58626 | − | 0.590297i | ||||
\(619\) | 352.200 | + | 39.6834i | 0.568983 | + | 0.0641089i | 0.391769 | − | 0.920064i | \(-0.371863\pi\) |
0.177213 | + | 0.984172i | \(0.443292\pi\) | |||||||
\(620\) | −282.571 | + | 177.551i | −0.455760 | + | 0.286373i | ||||
\(621\) | −55.0987 | + | 55.0987i | −0.0887258 | + | 0.0887258i | ||||
\(622\) | −255.838 | − | 58.3933i | −0.411315 | − | 0.0938799i | ||||
\(623\) | −111.870 | − | 39.1451i | −0.179567 | − | 0.0628333i | ||||
\(624\) | −976.814 | + | 2791.57i | −1.56541 | + | 4.47368i | ||||
\(625\) | −81.6273 | + | 357.632i | −0.130604 | + | 0.572212i | ||||
\(626\) | 333.124 | + | 333.124i | 0.532147 | + | 0.532147i | ||||
\(627\) | 190.645 | + | 303.410i | 0.304059 | + | 0.483908i | ||||
\(628\) | 2.92128 | − | 25.9271i | 0.00465172 | − | 0.0412851i | ||||
\(629\) | −33.3111 | − | 145.945i | −0.0529588 | − | 0.232028i | ||||
\(630\) | −185.412 | + | 295.082i | −0.294305 | + | 0.468384i | ||||
\(631\) | −310.106 | − | 247.301i | −0.491451 | − | 0.391919i | 0.346169 | − | 0.938172i | \(-0.387482\pi\) |
−0.837620 | + | 0.546253i | \(0.816054\pi\) | |||||||
\(632\) | −1346.51 | + | 648.443i | −2.13055 | + | 1.02602i | ||||
\(633\) | 320.724 | + | 154.453i | 0.506674 | + | 0.244001i | ||||
\(634\) | −219.783 | − | 275.600i | −0.346661 | − | 0.434700i | ||||
\(635\) | −32.8890 | − | 291.898i | −0.0517937 | − | 0.459682i | ||||
\(636\) | 326.810 | − | 114.356i | 0.513852 | − | 0.179804i | ||||
\(637\) | − | 391.040i | − | 0.613878i | ||||||
\(638\) | −210.640 | + | 1137.25i | −0.330157 | + | 1.78252i | ||||
\(639\) | 744.217 | 1.16466 | ||||||||
\(640\) | 71.0118 | + | 202.940i | 0.110956 | + | 0.317094i | ||||
\(641\) | −991.304 | + | 111.693i | −1.54650 | + | 0.174248i | −0.843572 | − | 0.537016i | \(-0.819551\pi\) |
−0.702924 | + | 0.711265i | \(0.748123\pi\) | |||||||
\(642\) | −1677.76 | + | 1337.97i | −2.61333 | + | 2.08406i | ||||
\(643\) | 398.229 | − | 826.931i | 0.619329 | − | 1.28605i | −0.321416 | − | 0.946938i | \(-0.604159\pi\) |
0.940746 | − | 0.339113i | \(-0.110127\pi\) | |||||||
\(644\) | 298.599 | + | 620.047i | 0.463663 | + | 0.962806i | ||||
\(645\) | 315.935 | − | 396.170i | 0.489822 | − | 0.614217i | ||||
\(646\) | −65.5494 | − | 41.1874i | −0.101470 | − | 0.0637576i | ||||
\(647\) | −338.253 | + | 77.2040i | −0.522802 | + | 0.119326i | −0.475774 | − | 0.879568i | \(-0.657832\pi\) |
−0.0470276 | + | 0.998894i | \(0.514975\pi\) | |||||||
\(648\) | −1548.02 | − | 174.420i | −2.38891 | − | 0.269166i | ||||
\(649\) | −148.511 | + | 93.3155i | −0.228830 | + | 0.143784i | ||||
\(650\) | −844.946 | + | 844.946i | −1.29992 | + | 1.29992i | ||||
\(651\) | 355.072 | + | 81.0428i | 0.545425 | + | 0.124490i | ||||
\(652\) | 743.013 | + | 259.992i | 1.13959 | + | 0.398760i | ||||
\(653\) | 207.982 | − | 594.378i | 0.318502 | − | 0.910226i | −0.667664 | − | 0.744463i | \(-0.732706\pi\) |
0.986166 | − | 0.165763i | \(-0.0530087\pi\) | |||||||
\(654\) | 373.736 | − | 1637.44i | 0.571462 | − | 2.50374i | ||||
\(655\) | −249.547 | − | 249.547i | −0.380988 | − | 0.380988i | ||||
\(656\) | −1792.41 | − | 2852.60i | −2.73233 | − | 4.34847i | ||||
\(657\) | 91.4934 | − | 812.026i | 0.139259 | − | 1.23596i | ||||
\(658\) | −105.626 | − | 462.776i | −0.160525 | − | 0.703307i | ||||
\(659\) | −129.184 | + | 205.595i | −0.196030 | + | 0.311980i | −0.930246 | − | 0.366936i | \(-0.880407\pi\) |
0.734216 | + | 0.678915i | \(0.237550\pi\) | |||||||
\(660\) | −698.710 | − | 557.203i | −1.05865 | − | 0.844247i | ||||
\(661\) | 833.137 | − | 401.218i | 1.26042 | − | 0.606986i | 0.320134 | − | 0.947372i | \(-0.396272\pi\) |
0.940286 | + | 0.340386i | \(0.110558\pi\) | |||||||
\(662\) | 1788.56 | + | 861.326i | 2.70176 | + | 1.30110i | ||||
\(663\) | 109.339 | + | 137.107i | 0.164916 | + | 0.206798i | ||||
\(664\) | 121.130 | + | 1075.06i | 0.182424 | + | 1.61906i | ||||
\(665\) | 65.7935 | − | 23.0221i | 0.0989376 | − | 0.0346198i | ||||
\(666\) | − | 2142.81i | − | 3.21743i | ||||||
\(667\) | 335.021 | + | 245.267i | 0.502280 | + | 0.367716i | ||||
\(668\) | 2912.67 | 4.36029 | ||||||||
\(669\) | 249.578 | + | 713.252i | 0.373061 | + | 1.06615i | ||||
\(670\) | −69.9828 | + | 7.88516i | −0.104452 | + | 0.0117689i | ||||
\(671\) | 378.520 | − | 301.859i | 0.564113 | − | 0.449865i | ||||
\(672\) | 713.698 | − | 1482.01i | 1.06205 | − | 2.20537i | ||||
\(673\) | 443.126 | + | 920.161i | 0.658434 | + | 1.36725i | 0.916073 | + | 0.401011i | \(0.131341\pi\) |
−0.257639 | + | 0.966241i | \(0.582945\pi\) | |||||||
\(674\) | 1258.35 | − | 1577.92i | 1.86699 | − | 2.34113i | ||||
\(675\) | 98.5394 | + | 61.9164i | 0.145984 | + | 0.0917280i | ||||
\(676\) | −518.833 | + | 118.420i | −0.767504 | + | 0.175178i | ||||
\(677\) | 920.740 | + | 103.742i | 1.36003 | + | 0.153238i | 0.761657 | − | 0.647980i | \(-0.224386\pi\) |
0.598372 | + | 0.801219i | \(0.295815\pi\) | |||||||
\(678\) | −247.754 | + | 155.674i | −0.365419 | + | 0.229608i | ||||
\(679\) | −262.647 | + | 262.647i | −0.386814 | + | 0.386814i | ||||
\(680\) | 113.531 | + | 25.9127i | 0.166958 | + | 0.0381070i | ||||
\(681\) | 338.130 | + | 118.317i | 0.496520 | + | 0.173740i | ||||
\(682\) | −229.335 | + | 655.401i | −0.336268 | + | 0.960998i | ||||
\(683\) | 27.4033 | − | 120.062i | 0.0401220 | − | 0.175786i | −0.950897 | − | 0.309508i | \(-0.899836\pi\) |
0.991019 | + | 0.133722i | \(0.0426929\pi\) | |||||||
\(684\) | −560.951 | − | 560.951i | −0.820104 | − | 0.820104i | ||||
\(685\) | −200.954 | − | 319.817i | −0.293364 | − | 0.466886i | ||||
\(686\) | −150.779 | + | 1338.20i | −0.219794 | + | 1.95073i | ||||
\(687\) | −427.177 | − | 1871.58i | −0.621800 | − | 2.72429i | ||||
\(688\) | −1463.12 | + | 2328.54i | −2.12663 | + | 3.38451i | ||||
\(689\) | 91.1873 | + | 72.7194i | 0.132347 | + | 0.105543i | ||||
\(690\) | −403.764 | + | 194.443i | −0.585165 | + | 0.281801i | ||||
\(691\) | 703.783 | + | 338.924i | 1.01850 | + | 0.490483i | 0.867176 | − | 0.498001i | \(-0.165932\pi\) |
0.151323 | + | 0.988484i | \(0.451647\pi\) | |||||||
\(692\) | −395.580 | − | 496.041i | −0.571647 | − | 0.716823i | ||||
\(693\) | 58.1208 | + | 515.836i | 0.0838684 | + | 0.744352i | ||||
\(694\) | −632.840 | + | 221.440i | −0.911873 | + | 0.319078i | ||||
\(695\) | 370.934i | 0.533719i | ||||||||
\(696\) | −119.675 | − | 2899.16i | −0.171947 | − | 4.16546i | ||||
\(697\) | −199.762 | −0.286603 | ||||||||
\(698\) | 172.759 | + | 493.718i | 0.247506 | + | 0.707332i | ||||
\(699\) | −1690.26 | + | 190.446i | −2.41811 | + | 0.272455i | ||||
\(700\) | 803.599 | − | 640.849i | 1.14800 | − | 0.915499i | ||||
\(701\) | −52.0584 | + | 108.100i | −0.0742631 | + | 0.154209i | −0.934795 | − | 0.355188i | \(-0.884417\pi\) |
0.860532 | + | 0.509396i | \(0.170131\pi\) | |||||||
\(702\) | 131.958 | + | 274.013i | 0.187974 | + | 0.390332i | ||||
\(703\) | −267.225 | + | 335.089i | −0.380120 | + | 0.476656i | ||||
\(704\) | 1025.59 | + | 644.418i | 1.45680 | + | 0.915367i | ||||
\(705\) | 215.735 | − | 49.2402i | 0.306008 | − | 0.0698443i | ||||
\(706\) | −798.846 | − | 90.0083i | −1.13151 | − | 0.127490i | ||||
\(707\) | 93.6177 | − | 58.8239i | 0.132415 | − | 0.0832021i | ||||
\(708\) | 515.874 | − | 515.874i | 0.728635 | − | 0.728635i | ||||
\(709\) | −393.730 | − | 89.8662i | −0.555331 | − | 0.126751i | −0.0643603 | − | 0.997927i | \(-0.520501\pi\) |
−0.490971 | + | 0.871176i | \(0.663358\pi\) | |||||||
\(710\) | 489.474 | + | 171.274i | 0.689401 | + | 0.241232i | ||||
\(711\) | −221.604 | + | 633.308i | −0.311680 | + | 0.890729i | ||||
\(712\) | −126.146 | + | 552.683i | −0.177172 | + | 0.776240i | ||||
\(713\) | 176.261 | + | 176.261i | 0.247210 | + | 0.247210i | ||||
\(714\) | −112.103 | − | 178.411i | −0.157007 | − | 0.249876i | ||||
\(715\) | 33.7061 | − | 299.150i | 0.0471414 | − | 0.418392i | ||||
\(716\) | −44.5571 | − | 195.218i | −0.0622306 | − | 0.272650i | ||||
\(717\) | −572.185 | + | 910.628i | −0.798027 | + | 1.27005i | ||||
\(718\) | −856.954 | − | 683.398i | −1.19353 | − | 0.951808i | ||||
\(719\) | −501.247 | + | 241.388i | −0.697144 | + | 0.335727i | −0.748668 | − | 0.662945i | \(-0.769306\pi\) |
0.0515242 | + | 0.998672i | \(0.483592\pi\) | |||||||
\(720\) | 794.393 | + | 382.560i | 1.10332 | + | 0.531333i | ||||
\(721\) | −296.172 | − | 371.388i | −0.410780 | − | 0.515102i | ||||
\(722\) | −126.845 | − | 1125.78i | −0.175686 | − | 1.55926i | ||||
\(723\) | −1016.96 | + | 355.849i | −1.40658 | + | 0.492183i | ||||
\(724\) | 3502.99i | 4.83839i | ||||||||
\(725\) | 245.786 | − | 569.327i | 0.339015 | − | 0.785279i | ||||
\(726\) | 132.062 | 0.181904 | ||||||||
\(727\) | 136.257 | + | 389.401i | 0.187424 | + | 0.535628i | 0.998804 | − | 0.0488914i | \(-0.0155688\pi\) |
−0.811380 | + | 0.584519i | \(0.801283\pi\) | |||||||
\(728\) | 1609.91 | − | 181.393i | 2.21141 | − | 0.249166i | ||||
\(729\) | −714.778 | + | 570.016i | −0.980491 | + | 0.781915i | ||||
\(730\) | 247.056 | − | 513.016i | 0.338432 | − | 0.702762i | ||||
\(731\) | 70.7507 | + | 146.915i | 0.0967861 | + | 0.200978i | ||||
\(732\) | −1255.59 | + | 1574.46i | −1.71528 | + | 2.15090i | ||||
\(733\) | 1161.29 | + | 729.688i | 1.58430 | + | 0.995482i | 0.980065 | + | 0.198675i | \(0.0636640\pi\) |
0.604235 | + | 0.796806i | \(0.293479\pi\) | |||||||
\(734\) | 1330.83 | − | 303.753i | 1.81312 | − | 0.413833i | ||||
\(735\) | −217.654 | − | 24.5238i | −0.296128 | − | 0.0333656i | ||||
\(736\) | 953.257 | − | 598.971i | 1.29519 | − | 0.813819i | ||||
\(737\) | −74.1764 | + | 74.1764i | −0.100646 | + | 0.100646i | ||||
\(738\) | −2787.74 | − | 636.283i | −3.77742 | − | 0.862171i | ||||
\(739\) | −1004.30 | − | 351.421i | −1.35900 | − | 0.475535i | −0.450262 | − | 0.892897i | \(-0.648669\pi\) |
−0.908741 | + | 0.417361i | \(0.862955\pi\) | |||||||
\(740\) | 353.040 | − | 1008.93i | 0.477081 | − | 1.36342i | ||||
\(741\) | 111.724 | − | 489.494i | 0.150774 | − | 0.660586i | ||||
\(742\) | −99.0925 | − | 99.0925i | −0.133548 | − | 0.133548i | ||||
\(743\) | −679.565 | − | 1081.52i | −0.914624 | − | 1.45562i | −0.890022 | − | 0.455918i | \(-0.849311\pi\) |
−0.0246019 | − | 0.999697i | \(-0.507832\pi\) | |||||||
\(744\) | 195.043 | − | 1731.06i | 0.262155 | − | 2.32669i | ||||
\(745\) | 44.6336 | + | 195.552i | 0.0599108 | + | 0.262487i | ||||
\(746\) | 689.586 | − | 1097.47i | 0.924379 | − | 1.47114i | ||||
\(747\) | 379.736 | + | 302.829i | 0.508348 | + | 0.405394i | ||||
\(748\) | 259.109 | − | 124.780i | 0.346403 | − | 0.166819i | ||||
\(749\) | 560.212 | + | 269.784i | 0.747947 | + | 0.360192i | ||||
\(750\) | 905.202 | + | 1135.09i | 1.20694 | + | 1.51345i | ||||
\(751\) | 13.2850 | + | 117.908i | 0.0176898 | + | 0.157001i | 0.999452 | − | 0.0331141i | \(-0.0105425\pi\) |
−0.981762 | + | 0.190115i | \(0.939114\pi\) | |||||||
\(752\) | −1133.55 | + | 396.647i | −1.50738 | + | 0.527456i | ||||
\(753\) | − | 1101.58i | − | 1.46292i | ||||||
\(754\) | 1335.44 | − | 918.054i | 1.77115 | − | 1.21758i | ||||
\(755\) | −123.133 | −0.163090 | ||||||||
\(756\) | −86.4022 | − | 246.923i | −0.114289 | − | 0.326618i | ||||
\(757\) | 1357.43 | − | 152.945i | 1.79317 | − | 0.202041i | 0.848305 | − | 0.529508i | \(-0.177624\pi\) |
0.944863 | + | 0.327467i | \(0.106195\pi\) | |||||||
\(758\) | −1360.41 | + | 1084.89i | −1.79474 | + | 1.43126i | ||||
\(759\) | −289.629 | + | 601.420i | −0.381592 | + | 0.792385i | ||||
\(760\) | −144.659 | − | 300.387i | −0.190341 | − | 0.395246i | ||||
\(761\) | −424.017 | + | 531.701i | −0.557184 | + | 0.698687i | −0.978034 | − | 0.208443i | \(-0.933160\pi\) |
0.420850 | + | 0.907130i | \(0.361732\pi\) | |||||||
\(762\) | 2152.57 | + | 1352.55i | 2.82489 | + | 1.77500i | ||||
\(763\) | −474.453 | + | 108.291i | −0.621826 | + | 0.141928i | ||||
\(764\) | −2000.37 | − | 225.388i | −2.61829 | − | 0.295010i | ||||
\(765\) | 44.2673 | − | 27.8150i | 0.0578657 | − | 0.0363594i | ||||
\(766\) | −1105.20 | + | 1105.20i | −1.44282 | + | 1.44282i | ||||
\(767\) | 239.594 | + | 54.6857i | 0.312378 | + | 0.0712982i | ||||
\(768\) | 130.879 | + | 45.7966i | 0.170415 | + | 0.0596310i | ||||
\(769\) | −23.6521 | + | 67.5938i | −0.0307569 | + | 0.0878983i | −0.958238 | − | 0.285972i | \(-0.907684\pi\) |
0.927481 | + | 0.373870i | \(0.121969\pi\) | |||||||
\(770\) | −80.4885 | + | 352.643i | −0.104531 | + | 0.457978i | ||||
\(771\) | −476.129 | − | 476.129i | −0.617548 | − | 0.617548i | ||||
\(772\) | −531.879 | − | 846.481i | −0.688963 | − | 1.09648i | ||||
\(773\) | 98.1012 | − | 870.672i | 0.126910 | − | 1.12635i | −0.755261 | − | 0.655424i | \(-0.772490\pi\) |
0.882171 | − | 0.470930i | \(-0.156082\pi\) | |||||||
\(774\) | 519.390 | + | 2275.60i | 0.671046 | + | 2.94005i | ||||
\(775\) | 198.070 | − | 315.227i | 0.255575 | − | 0.406745i | ||||
\(776\) | 1389.02 | + | 1107.70i | 1.78997 | + | 1.42745i | ||||
\(777\) | −1051.02 | + | 506.144i | −1.35266 | + | 0.651408i | ||||
\(778\) | −771.089 | − | 371.337i | −0.991117 | − | 0.477297i | ||||
\(779\) | 356.592 | + | 447.153i | 0.457757 | + | 0.574009i | ||||
\(780\) | 140.201 | + | 1244.32i | 0.179745 | + | 1.59528i | ||||
\(781\) | 729.088 | − | 255.119i | 0.933532 | − | 0.326657i | ||||
\(782\) | − | 144.214i | − | 0.184417i | ||||||
\(783\) | −116.111 | − | 106.905i | −0.148290 | − | 0.136533i | ||||
\(784\) | 1188.72 | 1.51623 | ||||||||
\(785\) | −1.62594 | − | 4.64666i | −0.00207126 | − | 0.00591931i | ||||
\(786\) | 3035.10 | − | 341.973i | 3.86145 | − | 0.435081i | ||||
\(787\) | 279.841 | − | 223.165i | 0.355579 | − | 0.283565i | −0.429366 | − | 0.903131i | \(-0.641263\pi\) |
0.784945 | + | 0.619566i | \(0.212691\pi\) | |||||||
\(788\) | −916.970 | + | 1904.11i | −1.16367 | + | 2.41638i | ||||
\(789\) | −606.250 | − | 1258.89i | −0.768378 | − | 1.59555i | ||||
\(790\) | −291.500 | + | 365.529i | −0.368987 | + | 0.462695i | ||||
\(791\) | 71.7873 | + | 45.1070i | 0.0907552 | + | 0.0570252i | ||||
\(792\) | 2420.64 | − | 552.496i | 3.05637 | − | 0.697596i | ||||
\(793\) | −674.098 | − | 75.9526i | −0.850060 | − | 0.0957788i | ||||
\(794\) | 716.987 | − | 450.513i | 0.903006 | − | 0.567396i | ||||
\(795\) | 46.1946 | − | 46.1946i | 0.0581064 | − | 0.0581064i | ||||
\(796\) | 597.573 | + | 136.392i | 0.750719 | + | 0.171347i | ||||
\(797\) | −6.13794 | − | 2.14776i | −0.00770130 | − | 0.00269480i | 0.326426 | − | 0.945223i | \(-0.394156\pi\) |
−0.334127 | + | 0.942528i | \(0.608441\pi\) | |||||||
\(798\) | −199.246 | + | 569.413i | −0.249682 | + | 0.713551i | ||||
\(799\) | −15.8456 | + | 69.4241i | −0.0198318 | + | 0.0868888i | ||||
\(800\) | −1188.95 | − | 1188.95i | −1.48619 | − | 1.48619i | ||||
\(801\) | 135.407 | + | 215.498i | 0.169047 | + | 0.269037i | ||||
\(802\) | −48.2881 | + | 428.569i | −0.0602096 | + | 0.534375i | ||||
\(803\) | −188.731 | − | 826.883i | −0.235032 | − | 1.02974i | ||||
\(804\) | 232.146 | − | 369.458i | 0.288738 | − | 0.459525i | ||||
\(805\) | 101.521 | + | 80.9607i | 0.126114 | + | 0.100572i | ||||
\(806\) | 876.567 | − | 422.133i | 1.08755 | − | 0.523738i | ||||
\(807\) | −36.2786 | − | 17.4708i | −0.0449549 | − | 0.0216491i | ||||
\(808\) | −329.725 | − | 413.462i | −0.408076 | − | 0.511711i | ||||
\(809\) | 27.7099 | + | 245.932i | 0.0342520 | + | 0.303995i | 0.999145 | + | 0.0413505i | \(0.0131660\pi\) |
−0.964893 | + | 0.262644i | \(0.915405\pi\) | |||||||
\(810\) | −459.985 | + | 160.956i | −0.567882 | + | 0.198711i | ||||
\(811\) | 519.401i | 0.640445i | 0.947342 | + | 0.320223i | \(0.103758\pi\) | ||||
−0.947342 | + | 0.320223i | \(0.896242\pi\) | |||||||
\(812\) | −1229.90 | + | 656.099i | −1.51465 | + | 0.808004i | ||||
\(813\) | −1184.23 | −1.45662 | ||||||||
\(814\) | −734.559 | − | 2099.25i | −0.902407 | − | 2.57893i | ||||
\(815\) | 147.594 | − | 16.6298i | 0.181097 | − | 0.0204047i | ||||
\(816\) | −416.791 | + | 332.380i | −0.510773 | + | 0.407328i | ||||
\(817\) | 202.563 | − | 420.626i | 0.247935 | − | 0.514842i | ||||
\(818\) | −331.804 | − | 688.997i | −0.405628 | − | 0.842295i | ||||
\(819\) | 453.490 | − | 568.658i | 0.553711 | − | 0.694332i | ||||
\(820\) | −1207.76 | − | 758.886i | −1.47288 | − | 0.925471i | ||||
\(821\) | 197.592 | − | 45.0992i | 0.240673 | − | 0.0549320i | −0.100483 | − | 0.994939i | \(-0.532039\pi\) |
0.341156 | + | 0.940007i | \(0.389182\pi\) | |||||||
\(822\) | 3248.36 | + | 366.003i | 3.95178 | + | 0.445259i | ||||
\(823\) | −429.110 | + | 269.628i | −0.521397 | + | 0.327616i | −0.766886 | − | 0.641784i | \(-0.778195\pi\) |
0.245488 | + | 0.969400i | \(0.421052\pi\) | |||||||
\(824\) | −1606.60 | + | 1606.60i | −1.94975 | + | 1.94975i | ||||
\(825\) | 971.968 | + | 221.845i | 1.17814 | + | 0.268904i | ||||
\(826\) | −278.712 | − | 97.5256i | −0.337424 | − | 0.118070i | ||||
\(827\) | −16.4965 | + | 47.1442i | −0.0199474 | + | 0.0570063i | −0.953427 | − | 0.301625i | \(-0.902471\pi\) |
0.933479 | + | 0.358632i | \(0.116757\pi\) | |||||||
\(828\) | 328.845 | − | 1440.76i | 0.397156 | − | 1.74005i | ||||
\(829\) | −636.231 | − | 636.231i | −0.767468 | − | 0.767468i | 0.210192 | − | 0.977660i | \(-0.432591\pi\) |
−0.977660 | + | 0.210192i | \(0.932591\pi\) | |||||||
\(830\) | 180.061 | + | 286.565i | 0.216940 | + | 0.345259i | ||||
\(831\) | −24.3777 | + | 216.358i | −0.0293354 | + | 0.260359i | ||||
\(832\) | −377.649 | − | 1654.59i | −0.453905 | − | 1.98869i | ||||
\(833\) | 37.5002 | − | 59.6812i | 0.0450182 | − | 0.0716461i | ||||
\(834\) | −2509.89 | − | 2001.57i | −3.00946 | − | 2.39997i | ||||
\(835\) | 495.143 | − | 238.449i | 0.592986 | − | 0.285567i | ||||
\(836\) | −741.843 | − | 357.253i | −0.887372 | − | 0.427336i | ||||
\(837\) | −59.0784 | − | 74.0820i | −0.0705835 | − | 0.0885089i | ||||
\(838\) | 110.233 | + | 978.341i | 0.131542 | + | 1.16747i | ||||
\(839\) | 505.483 | − | 176.876i | 0.602482 | − | 0.210818i | −0.0117655 | − | 0.999931i | \(-0.503745\pi\) |
0.614248 | + | 0.789113i | \(0.289459\pi\) | |||||||
\(840\) | − | 907.455i | − | 1.08030i | ||||||
\(841\) | −468.379 | + | 698.500i | −0.556932 | + | 0.830558i | ||||
\(842\) | 495.359 | 0.588313 | ||||||||
\(843\) | 284.915 | + | 814.241i | 0.337978 | + | 0.965884i | ||||
\(844\) | −812.824 | + | 91.5833i | −0.963062 | + | 0.108511i | ||||
\(845\) | −78.5051 | + | 62.6057i | −0.0929054 | + | 0.0740896i | ||||
\(846\) | −442.259 | + | 918.360i | −0.522765 | + | 1.08553i | ||||
\(847\) | −16.6027 | − | 34.4759i | −0.0196018 | − | 0.0407035i | ||||
\(848\) | −221.060 | + | 277.200i | −0.260684 | + | 0.326887i | ||||
\(849\) | −1305.68 | − | 820.413i | −1.53790 | − | 0.966329i | ||||
\(850\) | −209.986 | + | 47.9280i | −0.247043 | + | 0.0563859i | ||||
\(851\) | −793.392 | − | 89.3938i | −0.932306 | − | 0.105046i | ||||
\(852\) | −2720.48 | + | 1709.39i | −3.19306 | + | 2.00633i | ||||
\(853\) | 70.3065 | − | 70.3065i | 0.0824227 | − | 0.0824227i | −0.664694 | − | 0.747116i | \(-0.731438\pi\) |
0.747116 | + | 0.664694i | \(0.231438\pi\) | |||||||
\(854\) | 794.638 | + | 181.371i | 0.930489 | + | 0.212378i | ||||
\(855\) | −141.282 | − | 49.4369i | −0.165243 | − | 0.0578209i | ||||
\(856\) | 982.269 | − | 2807.16i | 1.14751 | − | 3.27940i | ||||
\(857\) | 41.3829 | − | 181.310i | 0.0482881 | − | 0.211564i | −0.945028 | − | 0.326989i | \(-0.893966\pi\) |
0.993316 | + | 0.115425i | \(0.0368231\pi\) | |||||||
\(858\) | 1842.29 | + | 1842.29i | 2.14719 | + | 2.14719i | ||||
\(859\) | 307.981 | + | 490.149i | 0.358535 | + | 0.570605i | 0.976478 | − | 0.215618i | \(-0.0691767\pi\) |
−0.617943 | + | 0.786223i | \(0.712034\pi\) | |||||||
\(860\) | −130.365 | + | 1157.03i | −0.151588 | + | 1.34538i | ||||
\(861\) | 346.391 | + | 1517.64i | 0.402313 | + | 1.76265i | ||||
\(862\) | 1632.89 | − | 2598.73i | 1.89430 | − | 3.01477i | ||||
\(863\) | 196.462 | + | 156.673i | 0.227650 | + | 0.181545i | 0.730672 | − | 0.682729i | \(-0.239207\pi\) |
−0.503022 | + | 0.864274i | \(0.667778\pi\) | |||||||
\(864\) | −385.573 | + | 185.682i | −0.446265 | + | 0.214910i | ||||
\(865\) | −107.856 | − | 51.9407i | −0.124689 | − | 0.0600471i | ||||
\(866\) | −1316.94 | − | 1651.39i | −1.52072 | − | 1.90692i | ||||
\(867\) | −138.396 | − | 1228.30i | −0.159626 | − | 1.41672i | ||||
\(868\) | −789.907 | + | 276.400i | −0.910031 | + | 0.318434i | ||||
\(869\) | 696.400i | 0.801381i | ||||||||
\(870\) | −427.241 | − | 800.888i | −0.491081 | − | 0.920561i | ||||
\(871\) | 146.983 | 0.168752 | ||||||||
\(872\) | 768.792 | + | 2197.08i | 0.881642 | + | 2.51959i | ||||
\(873\) | 792.598 | − | 89.3043i | 0.907901 | − | 0.102296i | ||||
\(874\) | −322.812 | + | 257.434i | −0.369350 | + | 0.294546i | ||||
\(875\) | 182.522 | − | 379.012i | 0.208597 | − | 0.433156i | ||||
\(876\) | 1530.69 | + | 3178.51i | 1.74736 | + | 3.62844i | ||||
\(877\) | 149.693 | − | 187.708i | 0.170687 | − | 0.214035i | −0.689129 | − | 0.724639i | \(-0.742007\pi\) |
0.859816 | + | 0.510604i | \(0.170578\pi\) | |||||||
\(878\) | 98.6135 | + | 61.9630i | 0.112316 | + | 0.0705729i | ||||
\(879\) | 522.259 | − | 119.202i | 0.594151 | − | 0.135611i | ||||
\(880\) | 909.387 | + | 102.463i | 1.03339 | + | 0.116436i | ||||
\(881\) | 842.785 | − | 529.557i | 0.956623 | − | 0.601086i | 0.0392993 | − | 0.999227i | \(-0.487487\pi\) |
0.917324 | + | 0.398141i | \(0.130345\pi\) | |||||||
\(882\) | 713.421 | − | 713.421i | 0.808868 | − | 0.808868i | ||||
\(883\) | 931.551 | + | 212.620i | 1.05498 | + | 0.240793i | 0.714629 | − | 0.699504i | \(-0.246596\pi\) |
0.340355 | + | 0.940297i | \(0.389453\pi\) | |||||||
\(884\) | −380.345 | − | 133.089i | −0.430255 | − | 0.150553i | ||||
\(885\) | 45.4642 | − | 129.929i | 0.0513720 | − | 0.146813i | ||||
\(886\) | 364.269 | − | 1595.97i | 0.411139 | − | 1.80132i | ||||
\(887\) | 285.603 | + | 285.603i | 0.321988 | + | 0.321988i | 0.849529 | − | 0.527542i | \(-0.176886\pi\) |
−0.527542 | + | 0.849529i | \(0.676886\pi\) | |||||||
\(888\) | 2968.56 | + | 4724.43i | 3.34297 | + | 5.32031i | ||||
\(889\) | 82.4749 | − | 731.985i | 0.0927727 | − | 0.823380i | ||||
\(890\) | 39.4625 | + | 172.897i | 0.0443399 | + | 0.194266i | ||||
\(891\) | −386.201 | + | 614.635i | −0.433446 | + | 0.689826i | ||||
\(892\) | −1357.54 | − | 1082.60i | −1.52190 | − | 1.21368i | ||||
\(893\) | 183.686 | − | 88.4587i | 0.205696 | − | 0.0990578i | ||||
\(894\) | −1564.03 | − | 753.198i | −1.74948 | − | 0.842503i | ||||
\(895\) | −23.5562 | − | 29.5386i | −0.0263198 | − | 0.0330040i | ||||
\(896\) | 60.3672 | + | 535.774i | 0.0673741 | + | 0.597962i | ||||
\(897\) | 882.822 | − | 308.913i | 0.984194 | − | 0.344384i | ||||
\(898\) | − | 581.308i | − | 0.647337i | ||||||
\(899\) | −341.989 | + | 371.439i | −0.380410 | + | 0.413169i | ||||
\(900\) | −2207.15 | −2.45239 | ||||||||
\(901\) | 6.94347 | + | 19.8433i | 0.00770640 | + | 0.0220236i | ||||
\(902\) | −2949.18 | + | 332.293i | −3.26960 | + | 0.368396i | ||||
\(903\) | 993.466 | − | 792.263i | 1.10018 | − | 0.877367i | ||||
\(904\) | 175.949 | − | 365.361i | 0.194633 | − | 0.404161i | ||||
\(905\) | 286.776 | + | 595.496i | 0.316879 | + | 0.658007i | ||||
\(906\) | 664.428 | − | 833.166i | 0.733364 | − | 0.919609i | ||||
\(907\) | −127.309 | − | 79.9933i | −0.140362 | − | 0.0881954i | 0.460020 | − | 0.887908i | \(-0.347842\pi\) |
−0.600383 | + | 0.799713i | \(0.704985\pi\) | |||||||
\(908\) | −802.514 | + | 183.169i | −0.883826 | + | 0.201727i | ||||
\(909\) | −235.929 | − | 26.5828i | −0.259548 | − | 0.0292440i | ||||
\(910\) | 429.133 | − | 269.642i | 0.471575 | − | 0.296310i | ||||
\(911\) | 1030.23 | − | 1030.23i | 1.13088 | − | 1.13088i | 0.140846 | − | 0.990031i | \(-0.455018\pi\) |
0.990031 | − | 0.140846i | \(-0.0449824\pi\) | |||||||
\(912\) | 1488.01 | + | 339.629i | 1.63159 | + | 0.372400i | ||||
\(913\) | 475.827 | + | 166.499i | 0.521169 | + | 0.182365i | ||||
\(914\) | −172.711 | + | 493.579i | −0.188961 | + | 0.540021i | ||||
\(915\) | −84.5509 | + | 370.442i | −0.0924054 | + | 0.404855i | ||||
\(916\) | 3119.15 | + | 3119.15i | 3.40518 | + | 3.40518i | ||||
\(917\) | −470.844 | − | 749.343i | −0.513461 | − | 0.817168i | ||||
\(918\) | −6.13785 | + | 54.4749i | −0.00668611 | + | 0.0593408i | ||||
\(919\) | 148.295 | + | 649.722i | 0.161365 | + | 0.706988i | 0.989268 | + | 0.146116i | \(0.0466772\pi\) |
−0.827902 | + | 0.560873i | \(0.810466\pi\) | |||||||
\(920\) | 330.438 | − | 525.888i | 0.359171 | − | 0.571618i | ||||
\(921\) | 637.726 | + | 508.569i | 0.692428 | + | 0.552193i | ||||
\(922\) | −2412.13 | + | 1161.62i | −2.61620 | + | 1.25989i | ||||
\(923\) | −975.121 | − | 469.593i | −1.05647 | − | 0.508769i | ||||
\(924\) | −1397.28 | − | 1752.14i | −1.51221 | − | 1.89626i | ||||
\(925\) | 133.512 | + | 1184.95i | 0.144337 | + | 1.28103i | ||||
\(926\) | −923.727 | + | 323.226i | −0.997545 | + | 0.349056i | ||||
\(927\) | 1020.05i | 1.10037i | ||||||||
\(928\) | 1291.82 | + | 1879.15i | 1.39205 | + | 2.02495i | ||||
\(929\) | 1330.42 | 1.43210 | 0.716050 | − | 0.698049i | \(-0.245948\pi\) | ||||
0.716050 | + | 0.698049i | \(0.245948\pi\) | |||||||
\(930\) | −179.987 | − | 514.374i | −0.193535 | − | 0.553091i | ||||
\(931\) | −200.533 | + | 22.5946i | −0.215395 | + | 0.0242692i | ||||
\(932\) | 3055.76 | − | 2436.89i | 3.27871 | − | 2.61469i | ||||
\(933\) | 133.103 | − | 276.391i | 0.142661 | − | 0.296239i | ||||
\(934\) | −691.832 | − | 1436.60i | −0.740719 | − | 1.53812i | ||||
\(935\) | 33.8323 | − | 42.4244i | 0.0361843 | − | 0.0453737i | ||||
\(936\) | −2945.69 | − | 1850.90i | −3.14710 | − | 1.97746i | ||||
\(937\) | −243.182 | + | 55.5047i | −0.259532 | + | 0.0592366i | −0.350307 | − | 0.936635i | \(-0.613923\pi\) |
0.0907748 | + | 0.995871i | \(0.471066\pi\) | |||||||
\(938\) | −175.494 | − | 19.7734i | −0.187094 | − | 0.0210804i | ||||
\(939\) | −466.322 | + | 293.009i | −0.496615 | + | 0.312044i | ||||
\(940\) | −359.541 | + | 359.541i | −0.382490 | + | 0.382490i | ||||
\(941\) | −485.444 | − | 110.799i | −0.515881 | − | 0.117746i | −0.0433490 | − | 0.999060i | \(-0.513803\pi\) |
−0.472532 | + | 0.881314i | \(0.656660\pi\) | |||||||
\(942\) | 40.2148 | + | 14.0718i | 0.0426908 | + | 0.0149382i | ||||
\(943\) | −351.887 | + | 1005.64i | −0.373157 | + | 1.06642i | ||||
\(944\) | −166.239 | + | 728.341i | −0.176101 | + | 0.771548i | ||||
\(945\) | −34.9027 | − | 34.9027i | −0.0369341 | − | 0.0369341i | ||||
\(946\) | 1288.91 | + | 2051.29i | 1.36248 | + | 2.16838i | ||||
\(947\) | −198.899 | + | 1765.28i | −0.210031 | + | 1.86407i | 0.239616 | + | 0.970868i | \(0.422978\pi\) |
−0.449647 | + | 0.893206i | \(0.648450\pi\) | |||||||
\(948\) | −644.573 | − | 2824.06i | −0.679929 | − | 2.97897i | ||||
\(949\) | −632.261 | + | 1006.24i | −0.666239 | + | 1.06031i | ||||
\(950\) | 482.126 | + | 384.483i | 0.507501 | + | 0.404719i | ||||
\(951\) | 371.277 | − | 178.797i | 0.390407 | − | 0.188010i | ||||
\(952\) | 263.102 | + | 126.703i | 0.276367 | + | 0.133091i | ||||
\(953\) | 813.599 | + | 1020.22i | 0.853724 | + | 1.07054i | 0.996729 | + | 0.0808146i | \(0.0257522\pi\) |
−0.143005 | + | 0.989722i | \(0.545676\pi\) | |||||||
\(954\) | 33.6931 | + | 299.035i | 0.0353177 | + | 0.313453i | ||||
\(955\) | −358.508 | + | 125.447i | −0.375401 | + | 0.131358i | ||||
\(956\) | − | 2471.23i | − | 2.58497i | ||||||
\(957\) | −1241.34 | − | 535.904i | −1.29712 | − | 0.559983i | ||||
\(958\) | −2846.51 | −2.97130 | ||||||||
\(959\) | −312.832 | − | 894.024i | −0.326207 | − | 0.932246i | ||||
\(960\) | −944.633 | + | 106.435i | −0.983992 | + | 0.110869i | ||||
\(961\) | 514.352 | − | 410.182i | 0.535226 | − | 0.426828i | ||||
\(962\) | −1352.09 | + | 2807.65i | −1.40550 | + | 2.91855i | ||||
\(963\) | −579.324 | − | 1202.98i | −0.601582 | − | 1.24920i | ||||
\(964\) | 1543.57 | − | 1935.58i | 1.60122 | − | 2.00786i | ||||
\(965\) | −159.715 | − | 100.356i | −0.165508 | − | 0.103996i | ||||
\(966\) | −1095.63 | + | 250.069i | −1.13419 | + | 0.258871i | ||||
\(967\) | −1569.46 | − | 176.835i | −1.62302 | − | 0.182870i | −0.746889 | − | 0.664949i | \(-0.768453\pi\) |
−0.876128 | + | 0.482079i | \(0.839882\pi\) | |||||||
\(968\) | −154.972 | + | 97.3757i | −0.160096 | + | 0.100595i | ||||
\(969\) | 63.9932 | − | 63.9932i | 0.0660405 | − | 0.0660405i | ||||
\(970\) | 541.847 | + | 123.673i | 0.558605 | + | 0.127498i | ||||
\(971\) | −1659.79 | − | 580.785i | −1.70936 | − | 0.598130i | −0.714521 | − | 0.699614i | \(-0.753355\pi\) |
−0.994837 | + | 0.101484i | \(0.967641\pi\) | |||||||
\(972\) | 1160.30 | − | 3315.93i | 1.19372 | − | 3.41145i | ||||
\(973\) | −206.985 | + | 906.862i | −0.212729 | + | 0.932027i | ||||
\(974\) | −640.661 | − | 640.661i | −0.657763 | − | 0.657763i | ||||
\(975\) | −743.198 | − | 1182.79i | −0.762254 | − | 1.21312i | ||||
\(976\) | 230.888 | − | 2049.19i | 0.236566 | − | 2.09958i | ||||
\(977\) | −217.044 | − | 950.931i | −0.222153 | − | 0.973318i | −0.955853 | − | 0.293844i | \(-0.905065\pi\) |
0.733700 | − | 0.679474i | \(-0.237792\pi\) | |||||||
\(978\) | −683.897 | + | 1088.42i | −0.699281 | + | 1.11290i | ||||
\(979\) | 206.527 | + | 164.700i | 0.210957 | + | 0.168233i | ||||
\(980\) | 453.451 | − | 218.371i | 0.462705 | − | 0.222827i | ||||
\(981\) | 941.534 | + | 453.419i | 0.959770 | + | 0.462201i | ||||
\(982\) | 580.192 | + | 727.538i | 0.590827 | + | 0.740874i | ||||
\(983\) | 89.8176 | + | 797.153i | 0.0913709 | + | 0.810939i | 0.952911 | + | 0.303250i | \(0.0980716\pi\) |
−0.861540 | + | 0.507689i | \(0.830500\pi\) | |||||||
\(984\) | 7027.83 | − | 2459.14i | 7.14211 | − | 2.49913i | ||||
\(985\) | 398.760i | 0.404833i | ||||||||
\(986\) | 291.858 | − | 12.0477i | 0.296002 | − | 0.0122187i | ||||
\(987\) | 554.907 | 0.562216 | ||||||||
\(988\) | 381.039 | + | 1088.95i | 0.385667 | + | 1.10217i | ||||
\(989\) | 864.225 | − | 97.3748i | 0.873837 | − | 0.0984578i | ||||
\(990\) | 607.269 | − | 484.281i | 0.613404 | − | 0.489173i | ||||
\(991\) | 15.8810 | − | 32.9772i | 0.0160252 | − | 0.0332767i | −0.892803 | − | 0.450448i | \(-0.851264\pi\) |
0.908828 | + | 0.417171i | \(0.136979\pi\) | |||||||
\(992\) | 593.997 | + | 1233.45i | 0.598787 | + | 1.24339i | ||||
\(993\) | −1446.92 | + | 1814.39i | −1.45712 | + | 1.82718i | ||||
\(994\) | 1101.10 | + | 691.864i | 1.10774 | + | 0.696041i | ||||
\(995\) | 112.751 | − | 25.7347i | 0.113318 | − | 0.0258640i | ||||
\(996\) | −2083.69 | − | 234.776i | −2.09206 | − | 0.235719i | ||||
\(997\) | −620.151 | + | 389.667i | −0.622017 | + | 0.390839i | −0.805851 | − | 0.592118i | \(-0.798292\pi\) |
0.183834 | + | 0.982957i | \(0.441149\pi\) | |||||||
\(998\) | 2272.75 | − | 2272.75i | 2.27731 | − | 2.27731i | ||||
\(999\) | 295.889 | + | 67.5347i | 0.296185 | + | 0.0676023i |
(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 | 29.3.f.a.18.1 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.163.4 | 48 | |||
29.21 | odd | 28 | inner | 29.3.f.a.21.1 | yes | 48 | |
87.50 | even | 28 | 261.3.s.a.253.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.18.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.21.1 | yes | 48 | 29.21 | odd | 28 | inner | |
261.3.s.a.163.4 | 48 | 3.2 | odd | 2 | |||
261.3.s.a.253.4 | 48 | 87.50 | even | 28 |