Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 403.1 | ||
Character | \(\chi\) | \(=\) | 605.403 |
Dual form | 605.2.m.f.602.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.391257 | − | 2.47030i | −0.276660 | − | 1.74676i | −0.599558 | − | 0.800331i | \(-0.704657\pi\) |
0.322898 | − | 0.946434i | \(-0.395343\pi\) | |||||||
\(3\) | 2.33823 | − | 1.19139i | 1.34998 | − | 0.687849i | 0.378639 | − | 0.925544i | \(-0.376392\pi\) |
0.971340 | + | 0.237696i | \(0.0763921\pi\) | |||||||
\(4\) | −4.04718 | + | 1.31501i | −2.02359 | + | 0.657504i | ||||
\(5\) | 2.02033 | − | 0.958269i | 0.903518 | − | 0.428551i | ||||
\(6\) | −3.85794 | − | 5.30999i | −1.57500 | − | 2.16780i | ||||
\(7\) | 0.167395 | − | 0.328531i | 0.0632693 | − | 0.124173i | −0.857206 | − | 0.514974i | \(-0.827802\pi\) |
0.920475 | + | 0.390800i | \(0.127802\pi\) | |||||||
\(8\) | 2.56101 | + | 5.02626i | 0.905453 | + | 1.77705i | ||||
\(9\) | 2.28457 | − | 3.14444i | 0.761522 | − | 1.04815i | ||||
\(10\) | −3.15768 | − | 4.61588i | −0.998545 | − | 1.45967i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −7.89656 | + | 7.89656i | −2.27954 | + | 2.27954i | ||||
\(13\) | −4.37638 | + | 0.693150i | −1.21379 | + | 0.192245i | −0.730313 | − | 0.683112i | \(-0.760626\pi\) |
−0.483476 | + | 0.875358i | \(0.660626\pi\) | |||||||
\(14\) | −0.877064 | − | 0.284975i | −0.234405 | − | 0.0761629i | ||||
\(15\) | 3.58232 | − | 4.64765i | 0.924952 | − | 1.20002i | ||||
\(16\) | 4.52888 | − | 3.29042i | 1.13222 | − | 0.822606i | ||||
\(17\) | 0.849399 | + | 0.134532i | 0.206010 | + | 0.0326287i | 0.258586 | − | 0.965988i | \(-0.416743\pi\) |
−0.0525767 | + | 0.998617i | \(0.516743\pi\) | |||||||
\(18\) | −8.66155 | − | 4.41328i | −2.04155 | − | 1.04022i | ||||
\(19\) | 1.37224 | − | 4.22331i | 0.314813 | − | 0.968893i | −0.661019 | − | 0.750369i | \(-0.729876\pi\) |
0.975832 | − | 0.218524i | \(-0.0701243\pi\) | |||||||
\(20\) | −6.91650 | + | 6.53503i | −1.54658 | + | 1.46128i | ||||
\(21\) | − | 0.967614i | − | 0.211151i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.17112 | − | 2.17112i | −0.452710 | − | 0.452710i | 0.443543 | − | 0.896253i | \(-0.353721\pi\) |
−0.896253 | + | 0.443543i | \(0.853721\pi\) | |||||||
\(24\) | 11.9765 | + | 8.70141i | 2.44469 | + | 1.77617i | ||||
\(25\) | 3.16344 | − | 3.87203i | 0.632688 | − | 0.774407i | ||||
\(26\) | 3.42458 | + | 10.5398i | 0.671615 | + | 2.06702i | ||||
\(27\) | 0.364028 | − | 2.29838i | 0.0700572 | − | 0.442324i | ||||
\(28\) | −0.245456 | + | 1.54975i | −0.0463869 | + | 0.292875i | ||||
\(29\) | 0.237821 | + | 0.731939i | 0.0441623 | + | 0.135918i | 0.970707 | − | 0.240268i | \(-0.0772354\pi\) |
−0.926544 | + | 0.376186i | \(0.877235\pi\) | |||||||
\(30\) | −12.8827 | − | 7.03098i | −2.35205 | − | 1.28368i | ||||
\(31\) | 3.66953 | + | 2.66607i | 0.659067 | + | 0.478840i | 0.866348 | − | 0.499441i | \(-0.166461\pi\) |
−0.207281 | + | 0.978282i | \(0.566461\pi\) | |||||||
\(32\) | −1.92256 | − | 1.92256i | −0.339863 | − | 0.339863i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.15091i | − | 0.368877i | ||||||
\(35\) | 0.0233714 | − | 0.824150i | 0.00395049 | − | 0.139307i | ||||
\(36\) | −5.11109 | + | 15.7303i | −0.851849 | + | 2.62172i | ||||
\(37\) | −9.76558 | − | 4.97581i | −1.60545 | − | 0.818019i | −0.999751 | − | 0.0223265i | \(-0.992893\pi\) |
−0.605701 | − | 0.795692i | \(-0.707107\pi\) | |||||||
\(38\) | −10.9697 | − | 1.73743i | −1.77953 | − | 0.281849i | ||||
\(39\) | −9.40718 | + | 6.83472i | −1.50635 | + | 1.09443i | ||||
\(40\) | 9.99058 | + | 7.70056i | 1.57965 | + | 1.21756i | ||||
\(41\) | 4.76987 | + | 1.54982i | 0.744928 | + | 0.242042i | 0.656797 | − | 0.754067i | \(-0.271911\pi\) |
0.0881306 | + | 0.996109i | \(0.471911\pi\) | |||||||
\(42\) | −2.39030 | + | 0.378586i | −0.368831 | + | 0.0584171i | ||||
\(43\) | 4.69057 | − | 4.69057i | 0.715305 | − | 0.715305i | −0.252335 | − | 0.967640i | \(-0.581199\pi\) |
0.967640 | + | 0.252335i | \(0.0811985\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.60236 | − | 8.54202i | 0.238865 | − | 1.27337i | ||||
\(46\) | −4.51385 | + | 6.21278i | −0.665531 | + | 0.916024i | ||||
\(47\) | 4.90729 | + | 9.63110i | 0.715802 | + | 1.40484i | 0.906078 | + | 0.423110i | \(0.139062\pi\) |
−0.190276 | + | 0.981731i | \(0.560938\pi\) | |||||||
\(48\) | 6.66940 | − | 13.0894i | 0.962645 | − | 1.88930i | ||||
\(49\) | 4.03459 | + | 5.55313i | 0.576369 | + | 0.793304i | ||||
\(50\) | −10.8028 | − | 6.29969i | −1.52775 | − | 0.890910i | ||||
\(51\) | 2.14637 | − | 0.697399i | 0.300552 | − | 0.0976553i | ||||
\(52\) | 16.8005 | − | 8.56028i | 2.32981 | − | 1.18710i | ||||
\(53\) | −0.157354 | − | 0.993494i | −0.0216142 | − | 0.136467i | 0.974521 | − | 0.224294i | \(-0.0720077\pi\) |
−0.996136 | + | 0.0878272i | \(0.972008\pi\) | |||||||
\(54\) | −5.82012 | −0.792018 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.07998 | 0.277949 | ||||||||
\(57\) | −1.82300 | − | 11.5099i | −0.241462 | − | 1.52453i | ||||
\(58\) | 1.71506 | − | 0.873866i | 0.225198 | − | 0.114744i | ||||
\(59\) | −1.04424 | + | 0.339295i | −0.135949 | + | 0.0441724i | −0.376201 | − | 0.926538i | \(-0.622770\pi\) |
0.240252 | + | 0.970710i | \(0.422770\pi\) | |||||||
\(60\) | −8.38661 | + | 23.5207i | −1.08271 | + | 3.03650i | ||||
\(61\) | 6.67408 | + | 9.18609i | 0.854529 | + | 1.17616i | 0.982847 | + | 0.184425i | \(0.0590422\pi\) |
−0.128318 | + | 0.991733i | \(0.540958\pi\) | |||||||
\(62\) | 5.15026 | − | 10.1080i | 0.654084 | − | 1.28371i | ||||
\(63\) | −0.650620 | − | 1.27691i | −0.0819705 | − | 0.160876i | ||||
\(64\) | 2.58377 | − | 3.55626i | 0.322972 | − | 0.444532i | ||||
\(65\) | −8.17749 | + | 5.59414i | −1.01429 | + | 0.693868i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.17112 | − | 4.17112i | 0.509583 | − | 0.509583i | −0.404815 | − | 0.914399i | \(-0.632664\pi\) |
0.914399 | + | 0.404815i | \(0.132664\pi\) | |||||||
\(68\) | −3.61458 | + | 0.572494i | −0.438332 | + | 0.0694250i | ||||
\(69\) | −7.66323 | − | 2.48993i | −0.922544 | − | 0.299753i | ||||
\(70\) | −2.04504 | + | 0.264720i | −0.244429 | + | 0.0316401i | ||||
\(71\) | −1.57497 | + | 1.14428i | −0.186914 | + | 0.135801i | −0.677307 | − | 0.735700i | \(-0.736853\pi\) |
0.490393 | + | 0.871501i | \(0.336853\pi\) | |||||||
\(72\) | 21.6556 | + | 3.42990i | 2.55213 | + | 0.404218i | ||||
\(73\) | 11.4681 | + | 5.84328i | 1.34224 | + | 0.683904i | 0.969742 | − | 0.244131i | \(-0.0785026\pi\) |
0.372494 | + | 0.928034i | \(0.378503\pi\) | |||||||
\(74\) | −8.47089 | + | 26.0707i | −0.984721 | + | 3.03066i | ||||
\(75\) | 2.78377 | − | 12.8226i | 0.321442 | − | 1.48063i | ||||
\(76\) | 18.8970i | 2.16763i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 20.5644 | + | 20.5644i | 2.32846 | + | 2.32846i | ||||
\(79\) | 10.0098 | + | 7.27256i | 1.12619 | + | 0.818227i | 0.985136 | − | 0.171774i | \(-0.0549499\pi\) |
0.141057 | + | 0.990001i | \(0.454950\pi\) | |||||||
\(80\) | 5.99671 | − | 10.9876i | 0.670452 | − | 1.22845i | ||||
\(81\) | 1.71612 | + | 5.28167i | 0.190680 | + | 0.586853i | ||||
\(82\) | 1.96228 | − | 12.3894i | 0.216698 | − | 1.36818i | ||||
\(83\) | −1.11694 | + | 7.05211i | −0.122601 | + | 0.774069i | 0.847398 | + | 0.530958i | \(0.178168\pi\) |
−0.969998 | + | 0.243111i | \(0.921832\pi\) | |||||||
\(84\) | 1.27242 | + | 3.91611i | 0.138833 | + | 0.427283i | ||||
\(85\) | 1.84498 | − | 0.542155i | 0.200116 | − | 0.0588050i | ||||
\(86\) | −13.4223 | − | 9.75188i | −1.44737 | − | 1.05157i | ||||
\(87\) | 1.42811 | + | 1.42811i | 0.153109 | + | 0.153109i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 8.87803i | − | 0.941069i | −0.882382 | − | 0.470535i | \(-0.844061\pi\) | ||
0.882382 | − | 0.470535i | \(-0.155939\pi\) | |||||||
\(90\) | −21.7283 | − | 0.616176i | −2.29036 | − | 0.0649506i | ||||
\(91\) | −0.504862 | + | 1.55381i | −0.0529240 | + | 0.162883i | ||||
\(92\) | 11.6420 | + | 5.93187i | 1.21376 | + | 0.618440i | ||||
\(93\) | 11.7565 | + | 1.86205i | 1.21910 | + | 0.193086i | ||||
\(94\) | 21.8717 | − | 15.8907i | 2.25589 | − | 1.63900i | ||||
\(95\) | −1.27470 | − | 9.84743i | −0.130781 | − | 1.01033i | ||||
\(96\) | −6.78589 | − | 2.20487i | −0.692582 | − | 0.225034i | ||||
\(97\) | −7.09071 | + | 1.12306i | −0.719953 | + | 0.114029i | −0.505651 | − | 0.862738i | \(-0.668748\pi\) |
−0.214302 | + | 0.976767i | \(0.568748\pi\) | |||||||
\(98\) | 12.1393 | − | 12.1393i | 1.22626 | − | 1.22626i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −7.71126 | + | 19.8308i | −0.771126 | + | 1.98308i | ||||
\(101\) | 1.20424 | − | 1.65749i | 0.119826 | − | 0.164927i | −0.744890 | − | 0.667187i | \(-0.767498\pi\) |
0.864716 | + | 0.502260i | \(0.167498\pi\) | |||||||
\(102\) | −2.56257 | − | 5.02932i | −0.253732 | − | 0.497977i | ||||
\(103\) | −1.97237 | + | 3.87099i | −0.194343 | + | 0.381420i | −0.967529 | − | 0.252759i | \(-0.918662\pi\) |
0.773186 | + | 0.634179i | \(0.218662\pi\) | |||||||
\(104\) | −14.6919 | − | 20.2217i | −1.44066 | − | 1.98290i | ||||
\(105\) | −0.927235 | − | 1.95490i | −0.0904888 | − | 0.190778i | ||||
\(106\) | −2.39266 | + | 0.777423i | −0.232396 | + | 0.0755100i | ||||
\(107\) | −11.2108 | + | 5.71219i | −1.08379 | + | 0.552219i | −0.902271 | − | 0.431169i | \(-0.858101\pi\) |
−0.181519 | + | 0.983387i | \(0.558101\pi\) | |||||||
\(108\) | 1.54911 | + | 9.78066i | 0.149063 | + | 0.941145i | ||||
\(109\) | −4.04420 | −0.387364 | −0.193682 | − | 0.981064i | \(-0.562043\pi\) | ||||
−0.193682 | + | 0.981064i | \(0.562043\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −28.7623 | −2.73000 | ||||||||
\(112\) | −0.322895 | − | 2.03868i | −0.0305107 | − | 0.192637i | ||||
\(113\) | −2.79047 | + | 1.42181i | −0.262505 | + | 0.133753i | −0.580290 | − | 0.814410i | \(-0.697061\pi\) |
0.317785 | + | 0.948163i | \(0.397061\pi\) | |||||||
\(114\) | −27.7197 | + | 9.00669i | −2.59619 | + | 0.843554i | ||||
\(115\) | −6.46689 | − | 2.30586i | −0.603040 | − | 0.215022i | ||||
\(116\) | −1.92501 | − | 2.64955i | −0.178733 | − | 0.246005i | ||||
\(117\) | −7.81857 | + | 15.3448i | −0.722827 | + | 1.41863i | ||||
\(118\) | 1.24673 | + | 2.44684i | 0.114770 | + | 0.225250i | ||||
\(119\) | 0.186383 | − | 0.256534i | 0.0170857 | − | 0.0235164i | ||||
\(120\) | 32.5347 | + | 6.10302i | 2.96999 | + | 0.557127i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 20.0811 | − | 20.0811i | 1.81806 | − | 1.81806i | ||||
\(123\) | 12.9995 | − | 2.05892i | 1.17213 | − | 0.185646i | ||||
\(124\) | −18.3572 | − | 5.96460i | −1.64852 | − | 0.535637i | ||||
\(125\) | 2.68074 | − | 10.8542i | 0.239773 | − | 0.970829i | ||||
\(126\) | −2.89980 | + | 2.10683i | −0.258335 | + | 0.187691i | ||||
\(127\) | −14.5342 | − | 2.30198i | −1.28970 | − | 0.204268i | −0.526357 | − | 0.850264i | \(-0.676442\pi\) |
−0.763341 | + | 0.645996i | \(0.776442\pi\) | |||||||
\(128\) | −14.6411 | − | 7.45999i | −1.29410 | − | 0.659376i | ||||
\(129\) | 5.37935 | − | 16.5559i | 0.473625 | − | 1.45767i | ||||
\(130\) | 17.0187 | + | 18.0121i | 1.49264 | + | 1.57977i | ||||
\(131\) | 9.05953i | 0.791535i | 0.918351 | + | 0.395768i | \(0.129521\pi\) | ||||
−0.918351 | + | 0.395768i | \(0.870479\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.15778 | − | 1.15778i | −0.100392 | − | 0.100392i | ||||
\(134\) | −11.9359 | − | 8.67193i | −1.03110 | − | 0.749141i | ||||
\(135\) | −1.46701 | − | 4.99232i | −0.126260 | − | 0.429670i | ||||
\(136\) | 1.49913 | + | 4.61384i | 0.128549 | + | 0.395633i | ||||
\(137\) | −0.0281938 | + | 0.178009i | −0.00240876 | + | 0.0152083i | −0.988863 | − | 0.148826i | \(-0.952451\pi\) |
0.986455 | + | 0.164034i | \(0.0524507\pi\) | |||||||
\(138\) | −3.15259 | + | 19.9047i | −0.268366 | + | 1.69440i | ||||
\(139\) | −5.91631 | − | 18.2085i | −0.501815 | − | 1.54443i | −0.806060 | − | 0.591834i | \(-0.798404\pi\) |
0.304245 | − | 0.952594i | \(-0.401596\pi\) | |||||||
\(140\) | 0.989175 | + | 3.36622i | 0.0836006 | + | 0.284497i | ||||
\(141\) | 22.9488 | + | 16.6733i | 1.93264 | + | 1.40414i | ||||
\(142\) | 3.44294 | + | 3.44294i | 0.288925 | + | 0.288925i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 21.7580i | − | 1.81316i | ||||||
\(145\) | 1.18187 | + | 1.25086i | 0.0981491 | + | 0.103878i | ||||
\(146\) | 9.94767 | − | 30.6158i | 0.823275 | − | 2.53378i | ||||
\(147\) | 16.0497 | + | 8.17775i | 1.32376 | + | 0.674489i | ||||
\(148\) | 46.0663 | + | 7.29619i | 3.78663 | + | 0.599743i | ||||
\(149\) | 7.04526 | − | 5.11868i | 0.577170 | − | 0.419339i | −0.260533 | − | 0.965465i | \(-0.583898\pi\) |
0.837703 | + | 0.546126i | \(0.183898\pi\) | |||||||
\(150\) | −32.7648 | − | 1.85980i | −2.67524 | − | 0.151852i | ||||
\(151\) | −5.05989 | − | 1.64406i | −0.411768 | − | 0.133791i | 0.0958054 | − | 0.995400i | \(-0.469457\pi\) |
−0.507573 | + | 0.861609i | \(0.669457\pi\) | |||||||
\(152\) | 24.7418 | − | 3.91871i | 2.00682 | − | 0.317849i | ||||
\(153\) | 2.36354 | − | 2.36354i | 0.191081 | − | 0.191081i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 9.96846 | + | 1.86994i | 0.800686 | + | 0.150197i | ||||
\(156\) | 29.0848 | − | 40.0319i | 2.32865 | − | 3.20511i | ||||
\(157\) | 2.52051 | + | 4.94679i | 0.201159 | + | 0.394796i | 0.969445 | − | 0.245311i | \(-0.0788900\pi\) |
−0.768286 | + | 0.640107i | \(0.778890\pi\) | |||||||
\(158\) | 14.0490 | − | 27.5727i | 1.11768 | − | 2.19357i | ||||
\(159\) | −1.55157 | − | 2.13555i | −0.123047 | − | 0.169360i | ||||
\(160\) | −5.72652 | − | 2.04187i | −0.452721 | − | 0.161424i | ||||
\(161\) | −1.07671 | + | 0.349846i | −0.0848570 | + | 0.0275717i | ||||
\(162\) | 12.3759 | − | 6.30582i | 0.972340 | − | 0.495432i | ||||
\(163\) | −0.617681 | − | 3.89989i | −0.0483805 | − | 0.305463i | 0.951618 | − | 0.307284i | \(-0.0994202\pi\) |
−0.999998 | + | 0.00182149i | \(0.999420\pi\) | |||||||
\(164\) | −21.3425 | −1.66657 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 17.8578 | 1.38604 | ||||||||
\(167\) | 0.416400 | + | 2.62905i | 0.0322220 | + | 0.203442i | 0.998547 | − | 0.0538817i | \(-0.0171594\pi\) |
−0.966325 | + | 0.257324i | \(0.917159\pi\) | |||||||
\(168\) | 4.86348 | − | 2.47807i | 0.375226 | − | 0.191187i | ||||
\(169\) | 6.30851 | − | 2.04976i | 0.485270 | − | 0.157674i | ||||
\(170\) | −2.06115 | − | 4.34553i | −0.158083 | − | 0.333287i | ||||
\(171\) | −10.1450 | − | 13.9633i | −0.775805 | − | 1.06780i | ||||
\(172\) | −12.8154 | + | 25.1517i | −0.977168 | + | 1.91780i | ||||
\(173\) | −9.59290 | − | 18.8271i | −0.729334 | − | 1.43140i | −0.895390 | − | 0.445283i | \(-0.853103\pi\) |
0.166056 | − | 0.986116i | \(-0.446897\pi\) | |||||||
\(174\) | 2.96909 | − | 4.08660i | 0.225086 | − | 0.309805i | ||||
\(175\) | −0.742539 | − | 1.68745i | −0.0561307 | − | 0.127559i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.03745 | + | 2.03745i | −0.153144 | + | 0.153144i | ||||
\(178\) | −21.9314 | + | 3.47359i | −1.64383 | + | 0.260357i | ||||
\(179\) | 2.85441 | + | 0.927453i | 0.213348 | + | 0.0693211i | 0.413741 | − | 0.910395i | \(-0.364222\pi\) |
−0.200393 | + | 0.979716i | \(0.564222\pi\) | |||||||
\(180\) | 4.74780 | + | 36.6782i | 0.353880 | + | 2.73383i | ||||
\(181\) | −8.28825 | + | 6.02177i | −0.616061 | + | 0.447595i | −0.851543 | − | 0.524284i | \(-0.824333\pi\) |
0.235482 | + | 0.971879i | \(0.424333\pi\) | |||||||
\(182\) | 4.03590 | + | 0.639223i | 0.299161 | + | 0.0473824i | ||||
\(183\) | 26.5498 | + | 13.5278i | 1.96261 | + | 1.00000i | ||||
\(184\) | 5.35236 | − | 16.4729i | 0.394581 | − | 1.21440i | ||||
\(185\) | −24.4978 | − | 0.694716i | −1.80112 | − | 0.0510765i | ||||
\(186\) | − | 29.7707i | − | 2.18289i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −32.5257 | − | 32.5257i | −2.37218 | − | 2.37218i | ||||
\(189\) | −0.694153 | − | 0.504332i | −0.0504922 | − | 0.0366847i | ||||
\(190\) | −23.8274 | + | 7.00176i | −1.72862 | + | 0.507961i | ||||
\(191\) | −4.26527 | − | 13.1272i | −0.308624 | − | 0.949848i | −0.978300 | − | 0.207194i | \(-0.933567\pi\) |
0.669675 | − | 0.742654i | \(-0.266433\pi\) | |||||||
\(192\) | 1.80457 | − | 11.3936i | 0.130234 | − | 0.822265i | ||||
\(193\) | 2.11294 | − | 13.3406i | 0.152093 | − | 0.960276i | −0.787085 | − | 0.616845i | \(-0.788411\pi\) |
0.939178 | − | 0.343431i | \(-0.111589\pi\) | |||||||
\(194\) | 5.54858 | + | 17.0768i | 0.398365 | + | 1.22604i | ||||
\(195\) | −12.4561 | + | 22.8230i | −0.891999 | + | 1.63439i | ||||
\(196\) | −23.6311 | − | 17.1690i | −1.68794 | − | 1.22636i | ||||
\(197\) | −10.9820 | − | 10.9820i | −0.782434 | − | 0.782434i | 0.197807 | − | 0.980241i | \(-0.436618\pi\) |
−0.980241 | + | 0.197807i | \(0.936618\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.1982i | 1.14826i | 0.818765 | + | 0.574129i | \(0.194659\pi\) | ||||
−0.818765 | + | 0.574129i | \(0.805341\pi\) | |||||||
\(200\) | 27.5634 | + | 5.98398i | 1.94903 | + | 0.423131i | ||||
\(201\) | 4.78362 | − | 14.7225i | 0.337411 | − | 1.03844i | ||||
\(202\) | −4.56567 | − | 2.32632i | −0.321239 | − | 0.163680i | ||||
\(203\) | 0.280275 | + | 0.0443912i | 0.0196714 | + | 0.00311565i | ||||
\(204\) | −7.76967 | + | 5.64500i | −0.543986 | + | 0.395229i | ||||
\(205\) | 11.1218 | − | 1.43966i | 0.776783 | − | 0.100550i | ||||
\(206\) | 10.3342 | + | 3.35779i | 0.720018 | + | 0.233948i | ||||
\(207\) | −11.7870 | + | 1.86688i | −0.819254 | + | 0.129757i | ||||
\(208\) | −17.5393 | + | 17.5393i | −1.21613 | + | 1.21613i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −4.46639 | + | 3.05541i | −0.308210 | + | 0.210844i | ||||
\(211\) | −2.16093 | + | 2.97427i | −0.148765 | + | 0.204757i | −0.876895 | − | 0.480681i | \(-0.840389\pi\) |
0.728131 | + | 0.685438i | \(0.240389\pi\) | |||||||
\(212\) | 1.94329 | + | 3.81393i | 0.133466 | + | 0.261942i | ||||
\(213\) | −2.31936 | + | 4.55200i | −0.158920 | + | 0.311898i | ||||
\(214\) | 18.4971 | + | 25.4591i | 1.26444 | + | 1.74035i | ||||
\(215\) | 4.98165 | − | 13.9713i | 0.339746 | − | 0.952835i | ||||
\(216\) | 12.4845 | − | 4.05647i | 0.849466 | − | 0.276008i | ||||
\(217\) | 1.49015 | − | 0.759268i | 0.101158 | − | 0.0515425i | ||||
\(218\) | 1.58232 | + | 9.99038i | 0.107168 | + | 0.676634i | ||||
\(219\) | 33.7766 | 2.28241 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.81054 | −0.256325 | ||||||||
\(222\) | 11.2535 | + | 71.0515i | 0.755283 | + | 4.76867i | ||||
\(223\) | 21.2758 | − | 10.8406i | 1.42473 | − | 0.725937i | 0.439674 | − | 0.898157i | \(-0.355094\pi\) |
0.985059 | + | 0.172220i | \(0.0550940\pi\) | |||||||
\(224\) | −0.953445 | + | 0.309793i | −0.0637047 | + | 0.0206989i | ||||
\(225\) | −4.94827 | − | 18.7932i | −0.329884 | − | 1.25288i | ||||
\(226\) | 4.60410 | + | 6.33699i | 0.306260 | + | 0.421531i | ||||
\(227\) | −8.42722 | + | 16.5393i | −0.559334 | + | 1.09775i | 0.422206 | + | 0.906500i | \(0.361256\pi\) |
−0.981540 | + | 0.191255i | \(0.938744\pi\) | |||||||
\(228\) | 22.5137 | + | 44.1856i | 1.49100 | + | 2.92626i | ||||
\(229\) | −9.44485 | + | 12.9997i | −0.624133 | + | 0.859045i | −0.997646 | − | 0.0685797i | \(-0.978153\pi\) |
0.373513 | + | 0.927625i | \(0.378153\pi\) | |||||||
\(230\) | −3.16594 | + | 16.8773i | −0.208756 | + | 1.11286i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.06985 | + | 3.06985i | −0.201546 | + | 0.201546i | ||||
\(233\) | −3.29708 | + | 0.522206i | −0.215999 | + | 0.0342109i | −0.263496 | − | 0.964661i | \(-0.584876\pi\) |
0.0474970 | + | 0.998871i | \(0.484876\pi\) | |||||||
\(234\) | 40.9653 | + | 13.3104i | 2.67799 | + | 0.870130i | ||||
\(235\) | 19.1435 | + | 14.7555i | 1.24879 | + | 0.962541i | ||||
\(236\) | 3.78006 | − | 2.74637i | 0.246061 | − | 0.178774i | ||||
\(237\) | 32.0697 | + | 5.07935i | 2.08315 | + | 0.329939i | ||||
\(238\) | −0.706639 | − | 0.360051i | −0.0458046 | − | 0.0233386i | ||||
\(239\) | −0.144551 | + | 0.444884i | −0.00935026 | + | 0.0287771i | −0.955623 | − | 0.294593i | \(-0.904816\pi\) |
0.946273 | + | 0.323370i | \(0.104816\pi\) | |||||||
\(240\) | 0.931171 | − | 32.8360i | 0.0601069 | − | 2.11955i | ||||
\(241\) | 16.5275i | 1.06463i | 0.846547 | + | 0.532314i | \(0.178678\pi\) | ||||
−0.846547 | + | 0.532314i | \(0.821322\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.2416 | + | 15.2416i | 0.977749 | + | 0.977749i | ||||
\(244\) | −39.0910 | − | 28.4013i | −2.50254 | − | 1.81821i | ||||
\(245\) | 13.4726 | + | 7.35292i | 0.860731 | + | 0.469761i | ||||
\(246\) | −10.1723 | − | 31.3071i | −0.648561 | − | 1.99607i | ||||
\(247\) | −3.07804 | + | 19.4340i | −0.195851 | + | 1.23655i | ||||
\(248\) | −4.00267 | + | 25.2718i | −0.254170 | + | 1.60476i | ||||
\(249\) | 5.79013 | + | 17.8202i | 0.366934 | + | 1.12931i | ||||
\(250\) | −27.8620 | − | 2.37545i | −1.76215 | − | 0.150236i | ||||
\(251\) | −5.29288 | − | 3.84550i | −0.334084 | − | 0.242726i | 0.408078 | − | 0.912947i | \(-0.366199\pi\) |
−0.742161 | + | 0.670221i | \(0.766199\pi\) | |||||||
\(252\) | 4.31233 | + | 4.31233i | 0.271651 | + | 0.271651i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 36.8044i | 2.30931i | ||||||||
\(255\) | 3.66808 | − | 3.46577i | 0.229704 | − | 0.217035i | ||||
\(256\) | −9.98325 | + | 30.7253i | −0.623953 | + | 1.92033i | ||||
\(257\) | −20.2671 | − | 10.3266i | −1.26423 | − | 0.644155i | −0.312154 | − | 0.950031i | \(-0.601051\pi\) |
−0.952071 | + | 0.305876i | \(0.901051\pi\) | |||||||
\(258\) | −43.0028 | − | 6.81097i | −2.67724 | − | 0.424033i | ||||
\(259\) | −3.26942 | + | 2.37537i | −0.203152 | + | 0.147598i | ||||
\(260\) | 25.7395 | − | 33.3940i | 1.59629 | − | 2.07101i | ||||
\(261\) | 2.84486 | + | 0.924349i | 0.176092 | + | 0.0572158i | ||||
\(262\) | 22.3798 | − | 3.54460i | 1.38263 | − | 0.218986i | ||||
\(263\) | −17.4444 | + | 17.4444i | −1.07567 | + | 1.07567i | −0.0787777 | + | 0.996892i | \(0.525102\pi\) |
−0.996892 | + | 0.0787777i | \(0.974898\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.26994 | − | 1.85640i | −0.0780119 | − | 0.114037i | ||||
\(266\) | −2.40708 | + | 3.31306i | −0.147587 | + | 0.203137i | ||||
\(267\) | −10.5772 | − | 20.7589i | −0.647313 | − | 1.27042i | ||||
\(268\) | −11.3962 | + | 22.3663i | −0.696135 | + | 1.36624i | ||||
\(269\) | −3.62074 | − | 4.98352i | −0.220760 | − | 0.303850i | 0.684244 | − | 0.729253i | \(-0.260132\pi\) |
−0.905004 | + | 0.425403i | \(0.860132\pi\) | |||||||
\(270\) | −11.7585 | + | 5.57724i | −0.715602 | + | 0.339420i | ||||
\(271\) | 6.64677 | − | 2.15967i | 0.403762 | − | 0.131190i | −0.100094 | − | 0.994978i | \(-0.531914\pi\) |
0.503856 | + | 0.863788i | \(0.331914\pi\) | |||||||
\(272\) | 4.28949 | − | 2.18561i | 0.260089 | − | 0.132522i | ||||
\(273\) | 0.670702 | + | 4.23465i | 0.0405928 | + | 0.256293i | ||||
\(274\) | 0.450766 | 0.0272318 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 34.2888 | 2.06394 | ||||||||
\(277\) | −0.137161 | − | 0.866002i | −0.00824122 | − | 0.0520330i | 0.983225 | − | 0.182397i | \(-0.0583855\pi\) |
−0.991466 | + | 0.130364i | \(0.958386\pi\) | |||||||
\(278\) | −42.6657 | + | 21.7393i | −2.55892 | + | 1.30383i | ||||
\(279\) | 16.7666 | − | 5.44779i | 1.00379 | − | 0.326151i | ||||
\(280\) | 4.20224 | − | 1.99318i | 0.251132 | − | 0.119115i | ||||
\(281\) | 4.80494 | + | 6.61343i | 0.286639 | + | 0.394524i | 0.927919 | − | 0.372783i | \(-0.121596\pi\) |
−0.641280 | + | 0.767307i | \(0.721596\pi\) | |||||||
\(282\) | 32.2091 | − | 63.2139i | 1.91802 | − | 3.76433i | ||||
\(283\) | 3.25437 | + | 6.38706i | 0.193452 | + | 0.379672i | 0.967275 | − | 0.253731i | \(-0.0816578\pi\) |
−0.773823 | + | 0.633402i | \(0.781658\pi\) | |||||||
\(284\) | 4.86944 | − | 6.70221i | 0.288948 | − | 0.397703i | ||||
\(285\) | −14.7127 | − | 21.5069i | −0.871503 | − | 1.27396i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.30762 | − | 1.30762i | 0.0771862 | − | 0.0771862i | ||||
\(288\) | −10.4376 | + | 1.65315i | −0.615039 | + | 0.0974127i | ||||
\(289\) | −15.4646 | − | 5.02475i | −0.909681 | − | 0.295573i | ||||
\(290\) | 2.62758 | − | 3.40898i | 0.154297 | − | 0.200182i | ||||
\(291\) | −15.2417 | + | 11.0738i | −0.893487 | + | 0.649156i | ||||
\(292\) | −54.0973 | − | 8.56818i | −3.16581 | − | 0.501415i | ||||
\(293\) | −20.7852 | − | 10.5906i | −1.21428 | − | 0.618707i | −0.274864 | − | 0.961483i | \(-0.588633\pi\) |
−0.939417 | + | 0.342776i | \(0.888633\pi\) | |||||||
\(294\) | 13.9219 | − | 42.8472i | 0.811942 | − | 2.49890i | ||||
\(295\) | −1.78457 | + | 1.68615i | −0.103902 | + | 0.0981714i | ||||
\(296\) | − | 61.8275i | − | 3.59365i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.4012 | − | 15.4012i | −0.892166 | − | 0.892166i | ||||
\(299\) | 11.0066 | + | 7.99673i | 0.636526 | + | 0.462463i | ||||
\(300\) | 5.59543 | + | 55.5561i | 0.323052 | + | 3.20753i | ||||
\(301\) | −0.755820 | − | 2.32617i | −0.0435647 | − | 0.134078i | ||||
\(302\) | −2.08160 | + | 13.1427i | −0.119782 | + | 0.756276i | ||||
\(303\) | 0.841072 | − | 5.31032i | 0.0483183 | − | 0.305070i | ||||
\(304\) | −7.68178 | − | 23.6421i | −0.440580 | − | 1.35597i | ||||
\(305\) | 22.2866 | + | 12.1633i | 1.27613 | + | 0.696470i | ||||
\(306\) | −6.76339 | − | 4.91389i | −0.386637 | − | 0.280908i | ||||
\(307\) | −4.25013 | − | 4.25013i | −0.242568 | − | 0.242568i | 0.575344 | − | 0.817912i | \(-0.304868\pi\) |
−0.817912 | + | 0.575344i | \(0.804868\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 11.4011i | 0.648588i | ||||||||
\(310\) | 0.719072 | − | 25.3567i | 0.0408405 | − | 1.44016i | ||||
\(311\) | −9.04804 | + | 27.8470i | −0.513067 | + | 1.57906i | 0.273704 | + | 0.961814i | \(0.411751\pi\) |
−0.786771 | + | 0.617245i | \(0.788249\pi\) | |||||||
\(312\) | −58.4449 | − | 29.7792i | −3.30879 | − | 1.68591i | ||||
\(313\) | 13.7636 | + | 2.17994i | 0.777965 | + | 0.123218i | 0.532774 | − | 0.846257i | \(-0.321149\pi\) |
0.245191 | + | 0.969475i | \(0.421149\pi\) | |||||||
\(314\) | 11.2339 | − | 8.16188i | 0.633964 | − | 0.460602i | ||||
\(315\) | −2.53809 | − | 1.95632i | −0.143005 | − | 0.110226i | ||||
\(316\) | −50.0750 | − | 16.2704i | −2.81694 | − | 0.915280i | ||||
\(317\) | 7.11206 | − | 1.12644i | 0.399453 | − | 0.0632672i | 0.0465239 | − | 0.998917i | \(-0.485186\pi\) |
0.352929 | + | 0.935650i | \(0.385186\pi\) | |||||||
\(318\) | −4.66839 | + | 4.66839i | −0.261790 | + | 0.261790i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 1.81221 | − | 9.66075i | 0.101306 | − | 0.540052i | ||||
\(321\) | −19.4080 | + | 26.7129i | −1.08325 | + | 1.49097i | ||||
\(322\) | 1.28550 | + | 2.52293i | 0.0716379 | + | 0.140597i | ||||
\(323\) | 1.73374 | − | 3.40267i | 0.0964681 | − | 0.189329i | ||||
\(324\) | −13.8909 | − | 19.1192i | −0.771716 | − | 1.06218i | ||||
\(325\) | −11.1605 | + | 19.1382i | −0.619074 | + | 1.06160i | ||||
\(326\) | −9.39221 | + | 3.05171i | −0.520186 | + | 0.169019i | ||||
\(327\) | −9.45628 | + | 4.81822i | −0.522933 | + | 0.266448i | ||||
\(328\) | 4.42585 | + | 27.9437i | 0.244376 | + | 1.54293i | ||||
\(329\) | 3.98557 | 0.219732 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.2203 | −0.726652 | −0.363326 | − | 0.931662i | \(-0.618359\pi\) | ||||
−0.363326 | + | 0.931662i | \(0.618359\pi\) | |||||||
\(332\) | −4.75311 | − | 30.0099i | −0.260861 | − | 1.64701i | ||||
\(333\) | −37.9563 | + | 19.3397i | −2.07999 | + | 1.05981i | ||||
\(334\) | 6.33162 | − | 2.05727i | 0.346451 | − | 0.112569i | ||||
\(335\) | 4.42997 | − | 12.4241i | 0.242035 | − | 0.678800i | ||||
\(336\) | −3.18386 | − | 4.38221i | −0.173694 | − | 0.239069i | ||||
\(337\) | 15.0167 | − | 29.4720i | 0.818014 | − | 1.60544i | 0.0223143 | − | 0.999751i | \(-0.492897\pi\) |
0.795700 | − | 0.605692i | \(-0.207103\pi\) | |||||||
\(338\) | −7.53176 | − | 14.7819i | −0.409674 | − | 0.804030i | ||||
\(339\) | −4.83083 | + | 6.64906i | −0.262375 | + | 0.361128i | ||||
\(340\) | −6.75403 | + | 4.62036i | −0.366289 | + | 0.250574i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −30.5243 | + | 30.5243i | −1.65057 | + | 1.65057i | ||||
\(343\) | 5.04900 | − | 0.799683i | 0.272620 | − | 0.0431788i | ||||
\(344\) | 35.5886 | + | 11.5634i | 1.91881 | + | 0.623459i | ||||
\(345\) | −17.8683 | + | 2.31295i | −0.961994 | + | 0.124525i | ||||
\(346\) | −42.7553 | + | 31.0636i | −2.29854 | + | 1.66999i | ||||
\(347\) | 13.6150 | + | 2.15640i | 0.730889 | + | 0.115762i | 0.510777 | − | 0.859713i | \(-0.329358\pi\) |
0.220112 | + | 0.975475i | \(0.429358\pi\) | |||||||
\(348\) | −7.65777 | − | 3.90183i | −0.410500 | − | 0.209160i | ||||
\(349\) | 2.54421 | − | 7.83028i | 0.136189 | − | 0.419145i | −0.859584 | − | 0.510994i | \(-0.829277\pi\) |
0.995773 | + | 0.0918483i | \(0.0292775\pi\) | |||||||
\(350\) | −3.87798 | + | 2.49452i | −0.207287 | + | 0.133338i | ||||
\(351\) | 10.3109i | 0.550356i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.2121 | + | 18.2121i | 0.969330 | + | 0.969330i | 0.999543 | − | 0.0302134i | \(-0.00961869\pi\) |
−0.0302134 | + | 0.999543i | \(0.509619\pi\) | |||||||
\(354\) | 5.83027 | + | 4.23594i | 0.309875 | + | 0.225138i | ||||
\(355\) | −2.08542 | + | 3.82107i | −0.110683 | + | 0.202801i | ||||
\(356\) | 11.6747 | + | 35.9310i | 0.618757 | + | 1.90434i | ||||
\(357\) | 0.130175 | − | 0.821891i | 0.00688958 | − | 0.0434991i | ||||
\(358\) | 1.17428 | − | 7.41411i | 0.0620626 | − | 0.391848i | ||||
\(359\) | 2.74242 | + | 8.44030i | 0.144739 | + | 0.445462i | 0.996977 | − | 0.0776922i | \(-0.0247551\pi\) |
−0.852238 | + | 0.523154i | \(0.824755\pi\) | |||||||
\(360\) | 47.0381 | − | 13.8223i | 2.47912 | − | 0.728500i | ||||
\(361\) | −0.581977 | − | 0.422831i | −0.0306304 | − | 0.0222543i | ||||
\(362\) | 18.1184 | + | 18.1184i | 0.952282 | + | 0.952282i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 6.95243i | − | 0.364407i | ||||||
\(365\) | 28.7687 | + | 0.815830i | 1.50582 | + | 0.0427025i | ||||
\(366\) | 23.0299 | − | 70.8787i | 1.20379 | − | 3.70489i | ||||
\(367\) | 20.9323 | + | 10.6656i | 1.09266 | + | 0.556737i | 0.904963 | − | 0.425490i | \(-0.139898\pi\) |
0.187696 | + | 0.982227i | \(0.439898\pi\) | |||||||
\(368\) | −16.9766 | − | 2.68884i | −0.884968 | − | 0.140165i | ||||
\(369\) | 15.7704 | − | 11.4579i | 0.820974 | − | 0.596473i | ||||
\(370\) | 7.86879 | + | 60.7888i | 0.409079 | + | 3.16026i | ||||
\(371\) | −0.352734 | − | 0.114610i | −0.0183130 | − | 0.00595027i | ||||
\(372\) | −50.0295 | + | 7.92389i | −2.59391 | + | 0.410834i | ||||
\(373\) | 9.04941 | − | 9.04941i | 0.468560 | − | 0.468560i | −0.432887 | − | 0.901448i | \(-0.642505\pi\) |
0.901448 | + | 0.432887i | \(0.142505\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.66338 | − | 28.5734i | −0.344096 | − | 1.47553i | ||||
\(376\) | −35.8408 | + | 49.3307i | −1.84835 | + | 2.54403i | ||||
\(377\) | −1.54814 | − | 3.03840i | −0.0797333 | − | 0.156485i | ||||
\(378\) | −0.974258 | + | 1.91209i | −0.0501104 | + | 0.0983473i | ||||
\(379\) | −5.77923 | − | 7.95442i | −0.296859 | − | 0.408591i | 0.634368 | − | 0.773031i | \(-0.281260\pi\) |
−0.931227 | + | 0.364440i | \(0.881260\pi\) | |||||||
\(380\) | 18.1084 | + | 38.1781i | 0.928941 | + | 1.95850i | ||||
\(381\) | −36.7268 | + | 11.9333i | −1.88157 | + | 0.611359i | ||||
\(382\) | −30.7592 | + | 15.6726i | −1.57378 | + | 0.801880i | ||||
\(383\) | 0.246163 | + | 1.55421i | 0.0125784 | + | 0.0794167i | 0.993179 | − | 0.116600i | \(-0.0371994\pi\) |
−0.980601 | + | 0.196016i | \(0.937199\pi\) | |||||||
\(384\) | −43.1219 | −2.20056 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −33.7819 | −1.71945 | ||||||||
\(387\) | −4.03328 | − | 25.4651i | −0.205023 | − | 1.29446i | ||||
\(388\) | 27.2206 | − | 13.8696i | 1.38192 | − | 0.704121i | ||||
\(389\) | −19.4129 | + | 6.30763i | −0.984272 | + | 0.319809i | −0.756564 | − | 0.653920i | \(-0.773123\pi\) |
−0.227708 | + | 0.973729i | \(0.573123\pi\) | |||||||
\(390\) | 61.2531 | + | 21.8406i | 3.10167 | + | 1.10594i | ||||
\(391\) | −1.55206 | − | 2.13623i | −0.0784912 | − | 0.108034i | ||||
\(392\) | −17.5789 | + | 34.5005i | −0.887867 | + | 1.74254i | ||||
\(393\) | 10.7934 | + | 21.1833i | 0.544456 | + | 1.06856i | ||||
\(394\) | −22.8320 | + | 31.4255i | −1.15026 | + | 1.58320i | ||||
\(395\) | 27.1922 | + | 5.10085i | 1.36819 | + | 0.256652i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.702204 | + | 0.702204i | −0.0352426 | + | 0.0352426i | −0.724508 | − | 0.689266i | \(-0.757933\pi\) |
0.689266 | + | 0.724508i | \(0.257933\pi\) | |||||||
\(398\) | 40.0144 | − | 6.33765i | 2.00574 | − | 0.317678i | ||||
\(399\) | −4.08653 | − | 1.32780i | −0.204583 | − | 0.0664729i | ||||
\(400\) | 1.58622 | − | 27.9450i | 0.0793110 | − | 1.39725i | ||||
\(401\) | 22.7267 | − | 16.5119i | 1.13492 | − | 0.824565i | 0.148513 | − | 0.988910i | \(-0.452551\pi\) |
0.986403 | + | 0.164345i | \(0.0525512\pi\) | |||||||
\(402\) | −38.2405 | − | 6.05670i | −1.90726 | − | 0.302081i | ||||
\(403\) | −17.9072 | − | 9.12420i | −0.892023 | − | 0.454509i | ||||
\(404\) | −2.69415 | + | 8.29176i | −0.134039 | + | 0.412530i | ||||
\(405\) | 8.52839 | + | 9.02620i | 0.423779 | + | 0.448516i | ||||
\(406\) | − | 0.709731i | − | 0.0352233i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 9.00218 | + | 9.00218i | 0.445674 | + | 0.445674i | ||||
\(409\) | 15.5800 | + | 11.3195i | 0.770379 | + | 0.559713i | 0.902076 | − | 0.431577i | \(-0.142043\pi\) |
−0.131697 | + | 0.991290i | \(0.542043\pi\) | |||||||
\(410\) | −7.90789 | − | 26.9110i | −0.390543 | − | 1.32904i | ||||
\(411\) | 0.146154 | + | 0.449816i | 0.00720925 | + | 0.0221878i | ||||
\(412\) | 2.89214 | − | 18.2603i | 0.142486 | − | 0.899619i | ||||
\(413\) | −0.0633319 | + | 0.399862i | −0.00311636 | + | 0.0196759i | ||||
\(414\) | 9.22350 | + | 28.3870i | 0.453310 | + | 1.39515i | ||||
\(415\) | 4.50122 | + | 15.3179i | 0.220956 | + | 0.751926i | ||||
\(416\) | 9.74645 | + | 7.08121i | 0.477859 | + | 0.347185i | ||||
\(417\) | −35.5271 | − | 35.5271i | −1.73977 | − | 1.73977i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.3724i | 0.604429i | 0.953240 | + | 0.302215i | \(0.0977259\pi\) | ||||
−0.953240 | + | 0.302215i | \(0.902274\pi\) | |||||||
\(420\) | 6.32339 | + | 6.69250i | 0.308550 | + | 0.326561i | ||||
\(421\) | −2.83225 | + | 8.71677i | −0.138036 | + | 0.424830i | −0.996050 | − | 0.0887962i | \(-0.971698\pi\) |
0.858014 | + | 0.513626i | \(0.171698\pi\) | |||||||
\(422\) | 8.19282 | + | 4.17445i | 0.398820 | + | 0.203209i | ||||
\(423\) | 41.4954 | + | 6.57223i | 2.01758 | + | 0.319553i | ||||
\(424\) | 4.59058 | − | 3.33525i | 0.222938 | − | 0.161974i | ||||
\(425\) | 3.20794 | − | 2.86332i | 0.155608 | − | 0.138891i | ||||
\(426\) | 12.1523 | + | 3.94851i | 0.588779 | + | 0.191306i | ||||
\(427\) | 4.13512 | − | 0.654939i | 0.200113 | − | 0.0316947i | ||||
\(428\) | 37.8606 | − | 37.8606i | 1.83006 | − | 1.83006i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −36.4624 | − | 6.83981i | −1.75837 | − | 0.329845i | ||||
\(431\) | −12.6892 | + | 17.4652i | −0.611217 | + | 0.841268i | −0.996677 | − | 0.0814565i | \(-0.974043\pi\) |
0.385460 | + | 0.922725i | \(0.374043\pi\) | |||||||
\(432\) | −5.91401 | − | 11.6069i | −0.284538 | − | 0.558437i | ||||
\(433\) | −3.31920 | + | 6.51430i | −0.159511 | + | 0.313057i | −0.956905 | − | 0.290401i | \(-0.906211\pi\) |
0.797394 | + | 0.603459i | \(0.206211\pi\) | |||||||
\(434\) | −2.45865 | − | 3.38404i | −0.118019 | − | 0.162439i | ||||
\(435\) | 4.25375 | + | 1.51673i | 0.203952 | + | 0.0727217i | ||||
\(436\) | 16.3676 | − | 5.31816i | 0.783866 | − | 0.254694i | ||||
\(437\) | −12.1486 | + | 6.19002i | −0.581146 | + | 0.296109i | ||||
\(438\) | −13.2153 | − | 83.4384i | −0.631454 | − | 3.98684i | ||||
\(439\) | 2.54287 | 0.121365 | 0.0606823 | − | 0.998157i | \(-0.480672\pi\) | ||||
0.0606823 | + | 0.998157i | \(0.480672\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 26.6788 | 1.27042 | ||||||||
\(442\) | 1.49090 | + | 9.41318i | 0.0709150 | + | 0.447739i | ||||
\(443\) | −6.10084 | + | 3.10853i | −0.289859 | + | 0.147691i | −0.592874 | − | 0.805295i | \(-0.702007\pi\) |
0.303015 | + | 0.952986i | \(0.402007\pi\) | |||||||
\(444\) | 116.406 | − | 37.8227i | 5.52440 | − | 1.79499i | ||||
\(445\) | −8.50754 | − | 17.9365i | −0.403296 | − | 0.850273i | ||||
\(446\) | −35.1037 | − | 48.3161i | −1.66221 | − | 2.28783i | ||||
\(447\) | 10.3751 | − | 20.3623i | 0.490726 | − | 0.963104i | ||||
\(448\) | −0.735831 | − | 1.44415i | −0.0347647 | − | 0.0682296i | ||||
\(449\) | 23.7847 | − | 32.7368i | 1.12247 | − | 1.54494i | 0.320827 | − | 0.947138i | \(-0.396039\pi\) |
0.801641 | − | 0.597806i | \(-0.203961\pi\) | |||||||
\(450\) | −44.4887 | + | 19.5767i | −2.09722 | + | 0.922852i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 9.42383 | − | 9.42383i | 0.443260 | − | 0.443260i | ||||
\(453\) | −13.7899 | + | 2.18411i | −0.647906 | + | 0.102618i | ||||
\(454\) | 44.1543 | + | 14.3466i | 2.07227 | + | 0.673320i | ||||
\(455\) | 0.468977 | + | 3.62299i | 0.0219860 | + | 0.169848i | ||||
\(456\) | 53.1833 | − | 38.6399i | 2.49053 | − | 1.80948i | ||||
\(457\) | −4.72853 | − | 0.748925i | −0.221191 | − | 0.0350332i | 0.0448551 | − | 0.998994i | \(-0.485717\pi\) |
−0.266046 | + | 0.963960i | \(0.585717\pi\) | |||||||
\(458\) | 35.8085 | + | 18.2454i | 1.67322 | + | 0.852550i | ||||
\(459\) | 0.618410 | − | 1.90327i | 0.0288649 | − | 0.0888370i | ||||
\(460\) | 29.2049 | + | 0.828199i | 1.36168 | + | 0.0386150i | ||||
\(461\) | 23.9704i | 1.11641i | 0.829703 | + | 0.558206i | \(0.188510\pi\) | ||||
−0.829703 | + | 0.558206i | \(0.811490\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.0906 | + | 12.0906i | 0.561898 | + | 0.561898i | 0.929846 | − | 0.367948i | \(-0.119940\pi\) |
−0.367948 | + | 0.929846i | \(0.619940\pi\) | |||||||
\(464\) | 3.48545 | + | 2.53233i | 0.161808 | + | 0.117560i | ||||
\(465\) | 25.5364 | − | 7.50397i | 1.18422 | − | 0.347988i | ||||
\(466\) | 2.58001 | + | 7.94046i | 0.119517 | + | 0.367835i | ||||
\(467\) | −2.49076 | + | 15.7260i | −0.115259 | + | 0.727714i | 0.860595 | + | 0.509289i | \(0.170092\pi\) |
−0.975854 | + | 0.218424i | \(0.929908\pi\) | |||||||
\(468\) | 11.4646 | − | 72.3847i | 0.529951 | − | 3.34598i | ||||
\(469\) | −0.672118 | − | 2.06857i | −0.0310355 | − | 0.0955175i | ||||
\(470\) | 28.9604 | − | 53.0634i | 1.33584 | − | 2.44763i | ||||
\(471\) | 11.7871 | + | 8.56382i | 0.543120 | + | 0.394600i | ||||
\(472\) | −4.37969 | − | 4.37969i | −0.201592 | − | 0.201592i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 81.2092i | − | 3.73006i | ||||||
\(475\) | −12.0118 | − | 18.6735i | −0.551139 | − | 0.856800i | ||||
\(476\) | −0.416981 | + | 1.28333i | −0.0191123 | + | 0.0588216i | ||||
\(477\) | −3.48347 | − | 1.77491i | −0.159497 | − | 0.0812678i | ||||
\(478\) | 1.15555 | + | 0.183022i | 0.0528537 | + | 0.00837121i | ||||
\(479\) | −30.7262 | + | 22.3239i | −1.40391 | + | 1.02000i | −0.409741 | + | 0.912202i | \(0.634381\pi\) |
−0.994172 | + | 0.107801i | \(0.965619\pi\) | |||||||
\(480\) | −15.8226 | + | 2.04815i | −0.722199 | + | 0.0934849i | ||||
\(481\) | 46.1869 | + | 15.0070i | 2.10594 | + | 0.684262i | ||||
\(482\) | 40.8278 | − | 6.46649i | 1.85966 | − | 0.294541i | ||||
\(483\) | −2.10081 | + | 2.10081i | −0.0955900 | + | 0.0955900i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −13.2494 | + | 9.06376i | −0.601623 | + | 0.411564i | ||||
\(486\) | 31.6879 | − | 43.6147i | 1.43739 | − | 1.97840i | ||||
\(487\) | −15.9280 | − | 31.2604i | −0.721766 | − | 1.41655i | −0.901478 | − | 0.432826i | \(-0.857517\pi\) |
0.179712 | − | 0.983719i | \(-0.442483\pi\) | |||||||
\(488\) | −29.0793 | + | 57.0713i | −1.31636 | + | 2.58350i | ||||
\(489\) | −6.09056 | − | 8.38294i | −0.275425 | − | 0.379090i | ||||
\(490\) | 12.8927 | − | 36.1582i | 0.582432 | − | 1.63346i | ||||
\(491\) | −27.9960 | + | 9.09647i | −1.26344 | + | 0.410518i | −0.862720 | − | 0.505681i | \(-0.831241\pi\) |
−0.400724 | + | 0.916199i | \(0.631241\pi\) | |||||||
\(492\) | −49.9038 | + | 25.4273i | −2.24984 | + | 1.14635i | ||||
\(493\) | 0.103536 | + | 0.653703i | 0.00466304 | + | 0.0294413i | ||||
\(494\) | 49.2120 | 2.21415 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 25.3914 | 1.14011 | ||||||||
\(497\) | 0.112290 | + | 0.708973i | 0.00503691 | + | 0.0318018i | ||||
\(498\) | 41.7557 | − | 21.2756i | 1.87112 | − | 0.953383i | ||||
\(499\) | −26.8216 | + | 8.71488i | −1.20070 | + | 0.390132i | −0.840019 | − | 0.542557i | \(-0.817456\pi\) |
−0.360683 | + | 0.932689i | \(0.617456\pi\) | |||||||
\(500\) | 3.42393 | + | 47.4541i | 0.153123 | + | 2.12221i | ||||
\(501\) | 4.10586 | + | 5.65123i | 0.183436 | + | 0.252478i | ||||
\(502\) | −7.42866 | + | 14.5796i | −0.331557 | + | 0.650718i | ||||
\(503\) | −16.3636 | − | 32.1153i | −0.729615 | − | 1.43195i | −0.895158 | − | 0.445748i | \(-0.852938\pi\) |
0.165543 | − | 0.986203i | \(-0.447062\pi\) | |||||||
\(504\) | 4.75186 | − | 6.54037i | 0.211665 | − | 0.291331i | ||||
\(505\) | 0.844633 | − | 4.50266i | 0.0375857 | − | 0.200366i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 12.3087 | − | 12.3087i | 0.546648 | − | 0.546648i | ||||
\(508\) | 61.8495 | − | 9.79599i | 2.74413 | − | 0.434627i | ||||
\(509\) | 29.8095 | + | 9.68569i | 1.32128 | + | 0.429310i | 0.882935 | − | 0.469495i | \(-0.155564\pi\) |
0.438347 | + | 0.898806i | \(0.355564\pi\) | |||||||
\(510\) | −9.99666 | − | 7.70524i | −0.442659 | − | 0.341194i | ||||
\(511\) | 3.83940 | − | 2.78948i | 0.169845 | − | 0.123400i | ||||
\(512\) | 47.3472 | + | 7.49906i | 2.09247 | + | 0.331415i | ||||
\(513\) | −9.20724 | − | 4.69132i | −0.406510 | − | 0.207127i | ||||
\(514\) | −17.5801 | + | 54.1061i | −0.775426 | + | 2.38652i | ||||
\(515\) | −0.275379 | + | 9.71073i | −0.0121347 | + | 0.427906i | ||||
\(516\) | 74.0787i | 3.26113i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 7.14706 | + | 7.14706i | 0.314024 | + | 0.314024i | ||||
\(519\) | −44.8608 | − | 32.5933i | −1.96917 | − | 1.43069i | ||||
\(520\) | −49.0602 | − | 26.7756i | −2.15143 | − | 1.17419i | ||||
\(521\) | −11.0309 | − | 33.9496i | −0.483272 | − | 1.48736i | −0.834468 | − | 0.551057i | \(-0.814225\pi\) |
0.351196 | − | 0.936302i | \(-0.385775\pi\) | |||||||
\(522\) | 1.17035 | − | 7.38930i | 0.0512248 | − | 0.323421i | ||||
\(523\) | −1.58021 | + | 9.97703i | −0.0690976 | + | 0.436265i | 0.928751 | + | 0.370704i | \(0.120884\pi\) |
−0.997849 | + | 0.0655608i | \(0.979116\pi\) | |||||||
\(524\) | −11.9134 | − | 36.6656i | −0.520438 | − | 1.60174i | ||||
\(525\) | −3.74663 | − | 3.06099i | −0.163517 | − | 0.133593i | ||||
\(526\) | 49.9182 | + | 36.2677i | 2.17654 | + | 1.58135i | ||||
\(527\) | 2.75823 | + | 2.75823i | 0.120150 | + | 0.120150i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 13.5725i | − | 0.590108i | ||||||
\(530\) | −4.08898 | + | 3.86346i | −0.177614 | + | 0.167818i | ||||
\(531\) | −1.31875 | + | 4.05869i | −0.0572288 | + | 0.176132i | ||||
\(532\) | 6.20825 | + | 3.16326i | 0.269162 | + | 0.137145i | ||||
\(533\) | −21.9490 | − | 3.47638i | −0.950717 | − | 0.150579i | ||||
\(534\) | −47.1423 | + | 34.2509i | −2.04005 | + | 1.48218i | ||||
\(535\) | −17.1757 | + | 22.2835i | −0.742570 | + | 0.963398i | ||||
\(536\) | 31.6474 | + | 10.2829i | 1.36696 | + | 0.444152i | ||||
\(537\) | 7.77922 | − | 1.23211i | 0.335698 | − | 0.0531694i | ||||
\(538\) | −10.8941 | + | 10.8941i | −0.469680 | + | 0.469680i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 12.5022 | + | 18.2757i | 0.538009 | + | 0.786460i | ||||
\(541\) | −1.42141 | + | 1.95641i | −0.0611113 | + | 0.0841125i | −0.838479 | − | 0.544934i | \(-0.816555\pi\) |
0.777367 | + | 0.629047i | \(0.216555\pi\) | |||||||
\(542\) | −7.93561 | − | 15.5745i | −0.340864 | − | 0.668983i | ||||
\(543\) | −12.2056 | + | 23.9548i | −0.523792 | + | 1.02800i | ||||
\(544\) | −1.37437 | − | 1.89166i | −0.0589257 | − | 0.0811043i | ||||
\(545\) | −8.17061 | + | 3.87543i | −0.349990 | + | 0.166005i | ||||
\(546\) | 10.1984 | − | 3.31367i | 0.436452 | − | 0.141812i | ||||
\(547\) | 28.5724 | − | 14.5584i | 1.22167 | − | 0.622470i | 0.280319 | − | 0.959907i | \(-0.409560\pi\) |
0.941348 | + | 0.337437i | \(0.109560\pi\) | |||||||
\(548\) | −0.119978 | − | 0.757509i | −0.00512519 | − | 0.0323592i | ||||
\(549\) | 44.1325 | 1.88353 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.41755 | 0.145593 | ||||||||
\(552\) | −7.11053 | − | 44.8941i | −0.302644 | − | 1.91082i | ||||
\(553\) | 4.06486 | − | 2.07115i | 0.172855 | − | 0.0880742i | ||||
\(554\) | −2.08562 | + | 0.677659i | −0.0886095 | + | 0.0287910i | ||||
\(555\) | −58.1093 | + | 27.5620i | −2.46660 | + | 1.16994i | ||||
\(556\) | 47.8887 | + | 65.9132i | 2.03094 | + | 2.79534i | ||||
\(557\) | −9.66801 | + | 18.9745i | −0.409647 | + | 0.803977i | −0.999995 | − | 0.00317189i | \(-0.998990\pi\) |
0.590348 | + | 0.807149i | \(0.298990\pi\) | |||||||
\(558\) | −20.0177 | − | 39.2870i | −0.847417 | − | 1.66315i | ||||
\(559\) | −17.2764 | + | 23.7790i | −0.730715 | + | 1.00574i | ||||
\(560\) | −2.60595 | − | 3.80937i | −0.110122 | − | 0.160975i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.4572 | − | 14.4572i | 0.609840 | − | 0.609840i | ||||
\(563\) | −38.1744 | + | 6.04624i | −1.60886 | + | 0.254819i | −0.895197 | − | 0.445670i | \(-0.852965\pi\) |
−0.713664 | + | 0.700489i | \(0.752965\pi\) | |||||||
\(564\) | −114.803 | − | 37.3019i | −4.83409 | − | 1.57069i | ||||
\(565\) | −4.27518 | + | 5.54655i | −0.179858 | + | 0.233345i | ||||
\(566\) | 14.5047 | − | 10.5383i | 0.609676 | − | 0.442956i | ||||
\(567\) | 2.02246 | + | 0.320327i | 0.0849355 | + | 0.0134525i | ||||
\(568\) | −9.78497 | − | 4.98569i | −0.410568 | − | 0.209195i | ||||
\(569\) | −2.84621 | + | 8.75973i | −0.119319 | + | 0.367227i | −0.992823 | − | 0.119590i | \(-0.961842\pi\) |
0.873504 | + | 0.486817i | \(0.161842\pi\) | |||||||
\(570\) | −47.3721 | + | 44.7594i | −1.98420 | + | 1.87477i | ||||
\(571\) | − | 24.7774i | − | 1.03690i | −0.855107 | − | 0.518451i | \(-0.826509\pi\) | ||
0.855107 | − | 0.518451i | \(-0.173491\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −25.6128 | − | 25.6128i | −1.06999 | − | 1.06999i | ||||
\(574\) | −3.74182 | − | 2.71859i | −0.156180 | − | 0.113472i | ||||
\(575\) | −15.2749 | + | 1.53843i | −0.637005 | + | 0.0641572i | ||||
\(576\) | −5.27963 | − | 16.2490i | −0.219984 | − | 0.677042i | ||||
\(577\) | 4.56924 | − | 28.8491i | 0.190220 | − | 1.20100i | −0.689062 | − | 0.724702i | \(-0.741977\pi\) |
0.879283 | − | 0.476301i | \(-0.158023\pi\) | |||||||
\(578\) | −6.36200 | + | 40.1681i | −0.264624 | + | 1.67077i | ||||
\(579\) | −10.9533 | − | 33.7107i | −0.455203 | − | 1.40097i | ||||
\(580\) | −6.42814 | − | 3.50828i | −0.266914 | − | 0.145673i | ||||
\(581\) | 2.12987 | + | 1.54744i | 0.0883617 | + | 0.0641985i | ||||
\(582\) | 33.3190 | + | 33.3190i | 1.38112 | + | 1.38112i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 72.6062i | 3.00447i | ||||||||
\(585\) | −1.09162 | + | 38.4938i | −0.0451328 | + | 1.59152i | ||||
\(586\) | −18.0295 | + | 55.4892i | −0.744793 | + | 2.29224i | ||||
\(587\) | 3.27982 | + | 1.67115i | 0.135373 | + | 0.0689759i | 0.520365 | − | 0.853944i | \(-0.325796\pi\) |
−0.384992 | + | 0.922920i | \(0.625796\pi\) | |||||||
\(588\) | −75.7100 | − | 11.9913i | −3.12223 | − | 0.494512i | ||||
\(589\) | 16.2951 | − | 11.8391i | 0.671428 | − | 0.487821i | ||||
\(590\) | 4.86352 | + | 3.74871i | 0.200228 | + | 0.154332i | ||||
\(591\) | −38.7622 | − | 12.5946i | −1.59447 | − | 0.518073i | ||||
\(592\) | −60.5997 | + | 9.59804i | −2.49063 | + | 0.394477i | ||||
\(593\) | 12.2260 | − | 12.2260i | 0.502062 | − | 0.502062i | −0.410016 | − | 0.912078i | \(-0.634477\pi\) |
0.912078 | + | 0.410016i | \(0.134477\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.130726 | − | 0.696888i | 0.00535924 | − | 0.0285696i | ||||
\(596\) | −21.7823 | + | 29.9808i | −0.892239 | + | 1.22806i | ||||
\(597\) | 19.2983 | + | 37.8751i | 0.789828 | + | 1.55013i | ||||
\(598\) | 15.4479 | − | 30.3183i | 0.631713 | − | 1.23981i | ||||
\(599\) | 24.9286 | + | 34.3113i | 1.01855 | + | 1.40192i | 0.913212 | + | 0.407484i | \(0.133594\pi\) |
0.105342 | + | 0.994436i | \(0.466406\pi\) | |||||||
\(600\) | 71.5790 | − | 18.8468i | 2.92220 | − | 0.769419i | ||||
\(601\) | 36.1677 | − | 11.7516i | 1.47531 | − | 0.479358i | 0.542603 | − | 0.839989i | \(-0.317439\pi\) |
0.932708 | + | 0.360632i | \(0.117439\pi\) | |||||||
\(602\) | −5.45063 | + | 2.77723i | −0.222151 | + | 0.113192i | ||||
\(603\) | −3.58662 | − | 22.6450i | −0.146058 | − | 0.922177i | ||||
\(604\) | 22.6402 | 0.921218 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −13.4471 | −0.546253 | ||||||||
\(607\) | −4.48131 | − | 28.2939i | −0.181891 | − | 1.14841i | −0.894572 | − | 0.446924i | \(-0.852519\pi\) |
0.712681 | − | 0.701488i | \(-0.247481\pi\) | |||||||
\(608\) | −10.7577 | + | 5.48134i | −0.436284 | + | 0.222298i | ||||
\(609\) | 0.708235 | − | 0.230119i | 0.0286991 | − | 0.00932491i | ||||
\(610\) | 21.3273 | − | 59.8135i | 0.863517 | − | 2.42178i | ||||
\(611\) | −28.1520 | − | 38.7479i | −1.13891 | − | 1.56757i | ||||
\(612\) | −6.45759 | + | 12.6737i | −0.261032 | + | 0.512305i | ||||
\(613\) | −16.0636 | − | 31.5265i | −0.648802 | − | 1.27334i | −0.947731 | − | 0.319070i | \(-0.896630\pi\) |
0.298930 | − | 0.954275i | \(-0.403370\pi\) | |||||||
\(614\) | −8.83619 | + | 12.1620i | −0.356600 | + | 0.490817i | ||||
\(615\) | 24.2902 | − | 16.6167i | 0.979477 | − | 0.670050i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.86653 | + | 6.86653i | −0.276436 | + | 0.276436i | −0.831685 | − | 0.555248i | \(-0.812623\pi\) |
0.555248 | + | 0.831685i | \(0.312623\pi\) | |||||||
\(618\) | 28.1642 | − | 4.46077i | 1.13293 | − | 0.179439i | ||||
\(619\) | 12.4643 | + | 4.04989i | 0.500981 | + | 0.162779i | 0.548597 | − | 0.836087i | \(-0.315162\pi\) |
−0.0476156 | + | 0.998866i | \(0.515162\pi\) | |||||||
\(620\) | −42.8031 | + | 5.54064i | −1.71902 | + | 0.222518i | ||||
\(621\) | −5.78041 | + | 4.19971i | −0.231960 | + | 0.168529i | ||||
\(622\) | 72.3305 | + | 11.4560i | 2.90019 | + | 0.459345i | ||||
\(623\) | −2.91671 | − | 1.48614i | −0.116855 | − | 0.0595408i | ||||
\(624\) | −20.1149 | + | 61.9072i | −0.805239 | + | 2.47827i | ||||
\(625\) | −4.98527 | − | 24.4979i | −0.199411 | − | 0.979916i | ||||
\(626\) | − | 34.8531i | − | 1.39301i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.7060 | − | 16.7060i | −0.666643 | − | 0.666643i | ||||
\(629\) | −7.62547 | − | 5.54023i | −0.304048 | − | 0.220903i | ||||
\(630\) | −3.83964 | + | 7.03527i | −0.152975 | + | 0.280292i | ||||
\(631\) | 7.21693 | + | 22.2114i | 0.287301 | + | 0.884223i | 0.985699 | + | 0.168513i | \(0.0538966\pi\) |
−0.698398 | + | 0.715710i | \(0.746103\pi\) | |||||||
\(632\) | −10.9186 | + | 68.9371i | −0.434317 | + | 2.74217i | ||||
\(633\) | −1.50925 | + | 9.52905i | −0.0599874 | + | 0.378746i | ||||
\(634\) | −5.56528 | − | 17.1282i | −0.221026 | − | 0.680247i | ||||
\(635\) | −31.5697 | + | 9.27687i | −1.25280 | + | 0.368141i | ||||
\(636\) | 9.08775 | + | 6.60263i | 0.360353 | + | 0.261811i | ||||
\(637\) | −21.5060 | − | 21.5060i | −0.852100 | − | 0.852100i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 7.56658i | 0.299329i | ||||||||
\(640\) | −36.7284 | − | 1.04155i | −1.45182 | − | 0.0411710i | ||||
\(641\) | 11.5211 | − | 35.4583i | 0.455056 | − | 1.40052i | −0.416014 | − | 0.909358i | \(-0.636573\pi\) |
0.871070 | − | 0.491159i | \(-0.163427\pi\) | |||||||
\(642\) | 73.5823 | + | 37.4921i | 2.90406 | + | 1.47969i | ||||
\(643\) | −6.14312 | − | 0.972975i | −0.242261 | − | 0.0383704i | 0.0341230 | − | 0.999418i | \(-0.489136\pi\) |
−0.276384 | + | 0.961047i | \(0.589136\pi\) | |||||||
\(644\) | 3.89761 | − | 2.83178i | 0.153587 | − | 0.111588i | ||||
\(645\) | −4.99699 | − | 38.6032i | −0.196756 | − | 1.52000i | ||||
\(646\) | −9.08394 | − | 2.95155i | −0.357403 | − | 0.116127i | ||||
\(647\) | −35.0004 | + | 5.54352i | −1.37601 | + | 0.217938i | −0.800243 | − | 0.599676i | \(-0.795296\pi\) |
−0.575766 | + | 0.817615i | \(0.695296\pi\) | |||||||
\(648\) | −22.1521 | + | 22.1521i | −0.870216 | + | 0.870216i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 51.6438 | + | 20.0819i | 2.02564 | + | 0.787675i | ||||
\(651\) | 2.57973 | − | 3.55069i | 0.101107 | − | 0.139163i | ||||
\(652\) | 7.62825 | + | 14.9713i | 0.298745 | + | 0.586321i | ||||
\(653\) | 15.2986 | − | 30.0252i | 0.598681 | − | 1.17498i | −0.370548 | − | 0.928813i | \(-0.620830\pi\) |
0.969228 | − | 0.246164i | \(-0.0791700\pi\) | |||||||
\(654\) | 15.6023 | + | 21.4747i | 0.610097 | + | 0.839726i | ||||
\(655\) | 8.68147 | + | 18.3032i | 0.339213 | + | 0.715166i | ||||
\(656\) | 26.7017 | − | 8.67591i | 1.04253 | − | 0.338737i | ||||
\(657\) | 44.5734 | − | 22.7113i | 1.73897 | − | 0.886052i | ||||
\(658\) | −1.55938 | − | 9.84555i | −0.0607911 | − | 0.383820i | ||||
\(659\) | −50.1826 | −1.95484 | −0.977419 | − | 0.211310i | \(-0.932227\pi\) | ||||
−0.977419 | + | 0.211310i | \(0.932227\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 28.3220 | 1.10160 | 0.550798 | − | 0.834638i | \(-0.314323\pi\) | ||||
0.550798 | + | 0.834638i | \(0.314323\pi\) | |||||||
\(662\) | 5.17252 | + | 32.6580i | 0.201036 | + | 1.26929i | ||||
\(663\) | −8.90994 | + | 4.53984i | −0.346033 | + | 0.176313i | ||||
\(664\) | −38.3062 | + | 12.4464i | −1.48657 | + | 0.483016i | ||||
\(665\) | −3.44857 | − | 1.22963i | −0.133730 | − | 0.0476831i | ||||
\(666\) | 62.6254 | + | 86.1965i | 2.42669 | + | 3.34005i | ||||
\(667\) | 1.07279 | − | 2.10547i | 0.0415385 | − | 0.0815240i | ||||
\(668\) | −5.14247 | − | 10.0927i | −0.198968 | − | 0.390497i | ||||
\(669\) | 36.8324 | − | 50.6955i | 1.42402 | − | 1.96000i | ||||
\(670\) | −32.4244 | − | 6.08235i | −1.25267 | − | 0.234982i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −1.86029 | + | 1.86029i | −0.0717623 | + | 0.0717623i | ||||
\(673\) | −28.9490 | + | 4.58507i | −1.11590 | + | 0.176742i | −0.687034 | − | 0.726625i | \(-0.741088\pi\) |
−0.428868 | + | 0.903367i | \(0.641088\pi\) | |||||||
\(674\) | −78.6801 | − | 25.5647i | −3.03064 | − | 0.984716i | ||||
\(675\) | −7.74783 | − | 8.68032i | −0.298214 | − | 0.334106i | ||||
\(676\) | −22.8362 | + | 16.5915i | −0.878316 | + | 0.638134i | ||||
\(677\) | −28.1986 | − | 4.46622i | −1.08376 | − | 0.171651i | −0.411091 | − | 0.911594i | \(-0.634852\pi\) |
−0.672669 | + | 0.739944i | \(0.734852\pi\) | |||||||
\(678\) | 18.3153 | + | 9.33210i | 0.703394 | + | 0.358397i | ||||
\(679\) | −0.817990 | + | 2.51751i | −0.0313916 | + | 0.0966133i | ||||
\(680\) | 7.45002 | + | 7.88489i | 0.285695 | + | 0.302372i | ||||
\(681\) | 48.7129i | 1.86668i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 11.2345 | + | 11.2345i | 0.429876 | + | 0.429876i | 0.888586 | − | 0.458710i | \(-0.151688\pi\) |
−0.458710 | + | 0.888586i | \(0.651688\pi\) | |||||||
\(684\) | 59.4204 | + | 43.1715i | 2.27200 | + | 1.65070i | ||||
\(685\) | 0.113620 | + | 0.386654i | 0.00434118 | + | 0.0147733i | ||||
\(686\) | −3.95091 | − | 12.1597i | −0.150847 | − | 0.464258i | ||||
\(687\) | −6.59653 | + | 41.6488i | −0.251673 | + | 1.58900i | ||||
\(688\) | 5.80906 | − | 36.6770i | 0.221468 | − | 1.39830i | ||||
\(689\) | 1.37728 | + | 4.23884i | 0.0524703 | + | 0.161487i | ||||
\(690\) | 12.7048 | + | 43.2350i | 0.483662 | + | 1.64593i | ||||
\(691\) | −8.06883 | − | 5.86234i | −0.306953 | − | 0.223014i | 0.423635 | − | 0.905833i | \(-0.360754\pi\) |
−0.730588 | + | 0.682819i | \(0.760754\pi\) | |||||||
\(692\) | 63.5820 | + | 63.5820i | 2.41702 | + | 2.41702i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 34.4767i | − | 1.30872i | ||||||
\(695\) | −29.4015 | − | 31.1178i | −1.11526 | − | 1.18036i | ||||
\(696\) | −3.52064 | + | 10.8354i | −0.133450 | + | 0.410716i | ||||
\(697\) | 3.84302 | + | 1.95812i | 0.145565 | + | 0.0741689i | ||||
\(698\) | −20.3386 | − | 3.22131i | −0.769827 | − | 0.121929i | ||||
\(699\) | −7.08719 | + | 5.14915i | −0.268062 | + | 0.194759i | ||||
\(700\) | 5.22420 | + | 5.85296i | 0.197456 | + | 0.221221i | ||||
\(701\) | −22.7683 | − | 7.39787i | −0.859947 | − | 0.279414i | −0.154340 | − | 0.988018i | \(-0.549325\pi\) |
−0.705606 | + | 0.708604i | \(0.749325\pi\) | |||||||
\(702\) | 25.4710 | − | 4.03422i | 0.961343 | − | 0.152262i | ||||
\(703\) | −34.4151 | + | 34.4151i | −1.29799 | + | 1.29799i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 62.3415 | + | 11.6943i | 2.34792 | + | 0.440435i | ||||
\(706\) | 37.8636 | − | 52.1148i | 1.42502 | − | 1.96137i | ||||
\(707\) | −0.342954 | − | 0.673086i | −0.0128981 | − | 0.0253140i | ||||
\(708\) | 5.56665 | − | 10.9252i | 0.209208 | − | 0.410593i | ||||
\(709\) | −12.4486 | − | 17.1340i | −0.467516 | − | 0.643480i | 0.508530 | − | 0.861044i | \(-0.330189\pi\) |
−0.976046 | + | 0.217564i | \(0.930189\pi\) | |||||||
\(710\) | 10.2551 | + | 3.65660i | 0.384868 | + | 0.137230i | ||||
\(711\) | 45.7362 | − | 14.8606i | 1.71524 | − | 0.557316i | ||||
\(712\) | 44.6233 | − | 22.7367i | 1.67233 | − | 0.852094i | ||||
\(713\) | −2.17863 | − | 13.7553i | −0.0815904 | − | 0.515142i | ||||
\(714\) | −2.08125 | −0.0778887 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −12.7719 | −0.477309 | ||||||||
\(717\) | 0.192035 | + | 1.21246i | 0.00717166 | + | 0.0452801i | ||||
\(718\) | 19.7771 | − | 10.0769i | 0.738074 | − | 0.376067i | ||||
\(719\) | −11.0594 | + | 3.59342i | −0.412447 | + | 0.134012i | −0.507888 | − | 0.861423i | \(-0.669574\pi\) |
0.0954415 | + | 0.995435i | \(0.469574\pi\) | |||||||
\(720\) | −20.8500 | − | 43.9582i | −0.777033 | − | 1.63823i | ||||
\(721\) | 0.941576 | + | 1.29597i | 0.0350661 | + | 0.0482644i | ||||
\(722\) | −0.816816 | + | 1.60309i | −0.0303988 | + | 0.0596609i | ||||
\(723\) | 19.6907 | + | 38.6451i | 0.732303 | + | 1.43723i | ||||
\(724\) | 25.6254 | − | 35.2703i | 0.952360 | − | 1.31081i | ||||
\(725\) | 3.58643 | + | 1.39459i | 0.133197 | + | 0.0517939i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.80845 | − | 9.80845i | 0.363775 | − | 0.363775i | −0.501426 | − | 0.865201i | \(-0.667191\pi\) |
0.865201 | + | 0.501426i | \(0.167191\pi\) | |||||||
\(728\) | −9.10279 | + | 1.44174i | −0.337372 | + | 0.0534345i | ||||
\(729\) | 37.9520 | + | 12.3314i | 1.40563 | + | 0.456717i | ||||
\(730\) | −9.24061 | − | 71.3865i | −0.342010 | − | 2.64213i | ||||
\(731\) | 4.61519 | − | 3.35313i | 0.170699 | − | 0.124020i | ||||
\(732\) | −125.241 | − | 19.8362i | −4.62903 | − | 0.733167i | ||||
\(733\) | 11.4681 | + | 5.84328i | 0.423583 | + | 0.215826i | 0.652770 | − | 0.757556i | \(-0.273607\pi\) |
−0.229187 | + | 0.973382i | \(0.573607\pi\) | |||||||
\(734\) | 18.1572 | − | 55.8821i | 0.670194 | − | 2.06265i | ||||
\(735\) | 40.2622 | + | 1.14177i | 1.48509 | + | 0.0421146i | ||||
\(736\) | 8.34820i | 0.307719i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −34.4746 | − | 34.4746i | −1.26903 | − | 1.26903i | ||||
\(739\) | 29.2990 | + | 21.2870i | 1.07778 | + | 0.783055i | 0.977295 | − | 0.211883i | \(-0.0679597\pi\) |
0.100488 | + | 0.994938i | \(0.467960\pi\) | |||||||
\(740\) | 100.061 | − | 29.4032i | 3.67831 | − | 1.08088i | ||||
\(741\) | 15.9562 | + | 49.1083i | 0.586167 | + | 1.80404i | ||||
\(742\) | −0.145112 | + | 0.916200i | −0.00532723 | + | 0.0336348i | ||||
\(743\) | 6.38328 | − | 40.3024i | 0.234180 | − | 1.47855i | −0.537890 | − | 0.843015i | \(-0.680778\pi\) |
0.772070 | − | 0.635538i | \(-0.219222\pi\) | |||||||
\(744\) | 20.7494 | + | 63.8602i | 0.760711 | + | 2.34123i | ||||
\(745\) | 9.32866 | − | 17.0927i | 0.341775 | − | 0.626227i | ||||
\(746\) | −25.8954 | − | 18.8141i | −0.948097 | − | 0.688833i | ||||
\(747\) | 19.6232 | + | 19.6232i | 0.717974 | + | 0.717974i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.63929i | 0.169516i | ||||||||
\(750\) | −67.9778 | + | 27.6401i | −2.48220 | + | 1.00927i | ||||
\(751\) | −2.83354 | + | 8.72074i | −0.103397 | + | 0.318225i | −0.989351 | − | 0.145549i | \(-0.953505\pi\) |
0.885954 | + | 0.463774i | \(0.153505\pi\) | |||||||
\(752\) | 53.9149 | + | 27.4710i | 1.96608 | + | 1.00177i | ||||
\(753\) | −16.9575 | − | 2.68580i | −0.617965 | − | 0.0978760i | ||||
\(754\) | −6.90003 | + | 5.01316i | −0.251284 | + | 0.182569i | ||||
\(755\) | −11.7981 | + | 1.52720i | −0.429376 | + | 0.0555805i | ||||
\(756\) | 3.47256 | + | 1.12830i | 0.126296 | + | 0.0410360i | ||||
\(757\) | 20.5879 | − | 3.26080i | 0.748279 | − | 0.118516i | 0.229363 | − | 0.973341i | \(-0.426336\pi\) |
0.518916 | + | 0.854825i | \(0.326336\pi\) | |||||||
\(758\) | −17.3886 | + | 17.3886i | −0.631584 | + | 0.631584i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 46.2313 | − | 31.6263i | 1.67698 | − | 1.14721i | ||||
\(761\) | 25.3966 | − | 34.9555i | 0.920627 | − | 1.26713i | −0.0427777 | − | 0.999085i | \(-0.513621\pi\) |
0.963405 | − | 0.268050i | \(-0.0863793\pi\) | |||||||
\(762\) | 43.8483 | + | 86.0572i | 1.58846 | + | 3.11752i | ||||
\(763\) | −0.676979 | + | 1.32865i | −0.0245083 | + | 0.0481002i | ||||
\(764\) | 34.5247 | + | 47.5191i | 1.24906 | + | 1.71918i | ||||
\(765\) | 2.51021 | − | 7.04002i | 0.0907569 | − | 0.254532i | ||||
\(766\) | 3.74306 | − | 1.21619i | 0.135242 | − | 0.0439429i | ||||
\(767\) | 4.33481 | − | 2.20870i | 0.156521 | − | 0.0797515i | ||||
\(768\) | 13.2626 | + | 83.7368i | 0.478573 | + | 3.02159i | ||||
\(769\) | 17.6513 | 0.636523 | 0.318261 | − | 0.948003i | \(-0.396901\pi\) | ||||
0.318261 | + | 0.948003i | \(0.396901\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −59.6921 | −2.14976 | ||||||||
\(772\) | 8.99153 | + | 56.7703i | 0.323612 | + | 2.04321i | ||||
\(773\) | −16.8322 | + | 8.57645i | −0.605413 | + | 0.308473i | −0.729694 | − | 0.683774i | \(-0.760338\pi\) |
0.124281 | + | 0.992247i | \(0.460338\pi\) | |||||||
\(774\) | −61.3284 | + | 19.9268i | −2.20440 | + | 0.716254i | ||||
\(775\) | 21.9315 | − | 5.77458i | 0.787801 | − | 0.207429i | ||||
\(776\) | −23.8042 | − | 32.7636i | −0.854520 | − | 1.17615i | ||||
\(777\) | −4.81467 | + | 9.44932i | −0.172725 | + | 0.338992i | ||||
\(778\) | 23.1771 | + | 45.4877i | 0.830941 | + | 1.63081i | ||||
\(779\) | 13.0908 | − | 18.0179i | 0.469025 | − | 0.645558i | ||||
\(780\) | 20.3996 | − | 108.749i | 0.730424 | − | 3.89382i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −4.66987 | + | 4.66987i | −0.166994 | + | 0.166994i | ||||
\(783\) | 1.76885 | − | 0.280158i | 0.0632135 | − | 0.0100120i | ||||
\(784\) | 36.5443 | + | 11.8740i | 1.30515 | + | 0.424070i | ||||
\(785\) | 9.83261 | + | 7.57879i | 0.350941 | + | 0.270499i | ||||
\(786\) | 48.1061 | − | 34.9511i | 1.71589 | − | 1.24666i | ||||
\(787\) | −45.6095 | − | 7.22384i | −1.62580 | − | 0.257502i | −0.724049 | − | 0.689749i | \(-0.757721\pi\) |
−0.901755 | + | 0.432247i | \(0.857721\pi\) | |||||||
\(788\) | 58.8875 | + | 30.0047i | 2.09778 | + | 1.06887i | ||||
\(789\) | −20.0060 | + | 61.5722i | −0.712234 | + | 2.19203i | ||||
\(790\) | 1.96150 | − | 69.1686i | 0.0697870 | − | 2.46091i | ||||
\(791\) | 1.15476i | 0.0410585i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −35.5757 | − | 35.5757i | −1.26333 | − | 1.26333i | ||||
\(794\) | 2.00940 | + | 1.45991i | 0.0713108 | + | 0.0518104i | ||||
\(795\) | −5.18111 | − | 2.82769i | −0.183755 | − | 0.100288i | ||||
\(796\) | −21.3008 | − | 65.5570i | −0.754985 | − | 2.32361i | ||||
\(797\) | −1.47494 | + | 9.31243i | −0.0522452 | + | 0.329863i | 0.947698 | + | 0.319170i | \(0.103404\pi\) |
−0.999943 | + | 0.0106936i | \(0.996596\pi\) | |||||||
\(798\) | −1.68117 | + | 10.6145i | −0.0595127 | + | 0.375748i | ||||
\(799\) | 2.87256 | + | 8.84084i | 0.101624 | + | 0.312766i | ||||
\(800\) | −13.5261 | + | 1.36231i | −0.478220 | + | 0.0481648i | ||||
\(801\) | −27.9164 | − | 20.2825i | −0.986378 | − | 0.716645i | ||||
\(802\) | −49.6813 | − | 49.6813i | −1.75431 | − | 1.75431i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 65.8750i | 2.32323i | ||||||||
\(805\) | −1.84007 | + | 1.73858i | −0.0648539 | + | 0.0612771i | ||||
\(806\) | −15.5332 | + | 47.8061i | −0.547132 | + | 1.68390i | ||||
\(807\) | −14.4034 | − | 7.33891i | −0.507025 | − | 0.258342i | ||||
\(808\) | 11.4151 | + | 1.80797i | 0.401580 | + | 0.0636041i | ||||
\(809\) | −1.46809 | + | 1.06663i | −0.0516154 | + | 0.0375008i | −0.613294 | − | 0.789855i | \(-0.710156\pi\) |
0.561678 | + | 0.827356i | \(0.310156\pi\) | |||||||
\(810\) | 18.9606 | − | 24.5992i | 0.666209 | − | 0.864329i | ||||
\(811\) | 28.9509 | + | 9.40673i | 1.01661 | + | 0.330315i | 0.769482 | − | 0.638669i | \(-0.220515\pi\) |
0.247124 | + | 0.968984i | \(0.420515\pi\) | |||||||
\(812\) | −1.19270 | + | 0.188905i | −0.0418555 | + | 0.00662926i | ||||
\(813\) | 12.9687 | − | 12.9687i | 0.454832 | − | 0.454832i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.98506 | − | 7.28714i | −0.174619 | − | 0.255257i | ||||
\(816\) | 7.42592 | − | 10.2209i | 0.259959 | − | 0.357803i | ||||
\(817\) | −13.3731 | − | 26.2463i | −0.467867 | − | 0.918241i | ||||
\(818\) | 21.8668 | − | 42.9160i | 0.764554 | − | 1.50052i | ||||
\(819\) | 3.73246 | + | 5.13728i | 0.130423 | + | 0.179511i | ||||
\(820\) | −43.1189 | + | 20.4519i | −1.50578 | + | 0.714211i | ||||
\(821\) | −27.2770 | + | 8.86284i | −0.951974 | + | 0.309315i | −0.743518 | − | 0.668716i | \(-0.766844\pi\) |
−0.208457 | + | 0.978032i | \(0.566844\pi\) | |||||||
\(822\) | 1.05400 | − | 0.537038i | 0.0367623 | − | 0.0187314i | ||||
\(823\) | 5.19241 | + | 32.7836i | 0.180996 | + | 1.14276i | 0.896135 | + | 0.443781i | \(0.146363\pi\) |
−0.715139 | + | 0.698982i | \(0.753637\pi\) | |||||||
\(824\) | −24.5079 | −0.853772 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.01256 | 0.0352314 | ||||||||
\(827\) | 0.0616139 | + | 0.389015i | 0.00214253 | + | 0.0135274i | 0.988736 | − | 0.149667i | \(-0.0478202\pi\) |
−0.986594 | + | 0.163194i | \(0.947820\pi\) | |||||||
\(828\) | 45.2492 | − | 23.0556i | 1.57252 | − | 0.801239i | ||||
\(829\) | −24.4647 | + | 7.94906i | −0.849694 | + | 0.276082i | −0.701318 | − | 0.712849i | \(-0.747405\pi\) |
−0.148376 | + | 0.988931i | \(0.547405\pi\) | |||||||
\(830\) | 36.0786 | − | 17.1126i | 1.25231 | − | 0.593987i | ||||
\(831\) | −1.35246 | − | 1.86150i | −0.0469163 | − | 0.0645748i | ||||
\(832\) | −8.84255 | + | 17.3545i | −0.306560 | + | 0.601658i | ||||
\(833\) | 2.67990 | + | 5.25960i | 0.0928531 | + | 0.182234i | ||||
\(834\) | −73.8624 | + | 101.663i | −2.55765 | + | 3.52030i | ||||
\(835\) | 3.36060 | + | 4.91251i | 0.116298 | + | 0.170005i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 7.46346 | − | 7.46346i | 0.257975 | − | 0.257975i | ||||
\(838\) | 30.5634 | − | 4.84077i | 1.05580 | − | 0.167222i | ||||
\(839\) | −39.2150 | − | 12.7417i | −1.35385 | − | 0.439894i | −0.459867 | − | 0.887988i | \(-0.652103\pi\) |
−0.893986 | + | 0.448094i | \(0.852103\pi\) | |||||||
\(840\) | 7.45117 | − | 9.66703i | 0.257090 | − | 0.333544i | ||||
\(841\) | 22.9823 | − | 16.6976i | 0.792494 | − | 0.575780i | ||||
\(842\) | 22.6412 | + | 3.58601i | 0.780266 | + | 0.123582i | ||||
\(843\) | 19.1142 | + | 9.73919i | 0.658329 | + | 0.335436i | ||||
\(844\) | 4.83450 | − | 14.8791i | 0.166410 | − | 0.512158i | ||||
\(845\) | 10.7810 | − | 10.1864i | 0.370879 | − | 0.350424i | ||||
\(846\) | − | 105.078i | − | 3.61264i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −3.98165 | − | 3.98165i | −0.136731 | − | 0.136731i | ||||
\(849\) | 15.2190 | + | 11.0572i | 0.522313 | + | 0.379483i | ||||
\(850\) | −8.32838 | − | 6.80427i | −0.285661 | − | 0.233384i | ||||
\(851\) | 10.3992 | + | 32.0053i | 0.356479 | + | 1.09713i | ||||
\(852\) | 3.40095 | − | 21.4727i | 0.116515 | − | 0.735644i | ||||
\(853\) | 1.03829 | − | 6.55550i | 0.0355504 | − | 0.224456i | −0.963516 | − | 0.267649i | \(-0.913753\pi\) |
0.999067 | + | 0.0431933i | \(0.0137531\pi\) | |||||||
\(854\) | −3.23579 | − | 9.95874i | −0.110726 | − | 0.340781i | ||||
\(855\) | −33.8768 | − | 18.4889i | −1.15856 | − | 0.632308i | ||||
\(856\) | −57.4219 | − | 41.7195i | −1.96264 | − | 1.42594i | ||||
\(857\) | 28.1873 | + | 28.1873i | 0.962858 | + | 0.962858i | 0.999335 | − | 0.0364762i | \(-0.0116133\pi\) |
−0.0364762 | + | 0.999335i | \(0.511613\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 3.38503i | − | 0.115496i | −0.998331 | − | 0.0577479i | \(-0.981608\pi\) | ||
0.998331 | − | 0.0577479i | \(-0.0183920\pi\) | |||||||
\(860\) | −1.78927 | + | 63.0953i | −0.0610137 | + | 2.15153i | ||||
\(861\) | 1.49963 | − | 4.61539i | 0.0511073 | − | 0.157292i | ||||
\(862\) | 48.1089 | + | 24.5127i | 1.63860 | + | 0.834907i | ||||
\(863\) | 6.73618 | + | 1.06691i | 0.229302 | + | 0.0363179i | 0.270028 | − | 0.962852i | \(-0.412967\pi\) |
−0.0407258 | + | 0.999170i | \(0.512967\pi\) | |||||||
\(864\) | −5.11863 | + | 3.71890i | −0.174139 | + | 0.126520i | ||||
\(865\) | −37.4222 | − | 28.8444i | −1.27239 | − | 0.980738i | ||||
\(866\) | 17.3909 | + | 5.65066i | 0.590968 | + | 0.192017i | ||||
\(867\) | −42.1462 | + | 6.67530i | −1.43136 | + | 0.226705i | ||||
\(868\) | −5.03245 | + | 5.03245i | −0.170813 | + | 0.170813i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 2.08247 | − | 11.1015i | 0.0706024 | − | 0.376375i | ||||
\(871\) | −15.3632 | + | 21.1456i | −0.520562 | + | 0.716492i | ||||
\(872\) | −10.3572 | − | 20.3272i | −0.350740 | − | 0.688366i | ||||
\(873\) | −12.6678 | + | 24.8620i | −0.428741 | + | 0.841452i | ||||
\(874\) | 20.0444 | + | 27.5888i | 0.678012 | + | 0.933204i | ||||
\(875\) | −3.11720 | − | 2.69764i | −0.105381 | − | 0.0911970i | ||||
\(876\) | −136.700 | + | 44.4166i | −4.61867 | + | 1.50070i | ||||
\(877\) | 3.70340 | − | 1.88698i | 0.125055 | − | 0.0637187i | −0.390344 | − | 0.920669i | \(-0.627644\pi\) |
0.515399 | + | 0.856951i | \(0.327644\pi\) | |||||||
\(878\) | −0.994915 | − | 6.28165i | −0.0335767 | − | 0.211995i | ||||
\(879\) | −61.2180 | −2.06483 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −7.19015 | −0.242242 | −0.121121 | − | 0.992638i | \(-0.538649\pi\) | ||||
−0.121121 | + | 0.992638i | \(0.538649\pi\) | |||||||
\(882\) | −10.4382 | − | 65.9045i | −0.351474 | − | 2.21912i | ||||
\(883\) | 39.8898 | − | 20.3249i | 1.34240 | − | 0.683986i | 0.372622 | − | 0.927983i | \(-0.378459\pi\) |
0.969776 | + | 0.243997i | \(0.0784588\pi\) | |||||||
\(884\) | 15.4220 | − | 5.01090i | 0.518697 | − | 0.168535i | ||||
\(885\) | −2.16389 | + | 6.06873i | −0.0727383 | + | 0.203998i | ||||
\(886\) | 10.0660 | + | 13.8547i | 0.338174 | + | 0.465456i | ||||
\(887\) | −6.79459 | + | 13.3351i | −0.228140 | + | 0.447750i | −0.976493 | − | 0.215551i | \(-0.930845\pi\) |
0.748352 | + | 0.663301i | \(0.230845\pi\) | |||||||
\(888\) | −73.6606 | − | 144.567i | −2.47189 | − | 4.85135i | ||||
\(889\) | −3.18922 | + | 4.38958i | −0.106963 | + | 0.147222i | ||||
\(890\) | −40.9799 | + | 28.0339i | −1.37365 | + | 0.939700i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −71.8515 | + | 71.8515i | −2.40577 | + | 2.40577i | ||||
\(893\) | 47.4091 | − | 7.50886i | 1.58648 | − | 0.251274i | ||||
\(894\) | −54.3603 | − | 17.6627i | −1.81808 | − | 0.590730i | ||||
\(895\) | 6.65558 | − | 0.861531i | 0.222472 | − | 0.0287978i | ||||
\(896\) | −4.90168 | + | 3.56128i | −0.163754 | + | 0.118974i | ||||
\(897\) | 35.2631 | + | 5.58513i | 1.17740 | + | 0.186482i | ||||
\(898\) | −90.1755 | − | 45.9467i | −3.00920 | − | 1.53326i | ||||
\(899\) | −1.07871 | + | 3.31992i | −0.0359769 | + | 0.110726i | ||||
\(900\) | 44.7397 | + | 69.5523i | 1.49132 | + | 2.31841i | ||||
\(901\) | − | 0.865042i | − | 0.0288187i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −4.53866 | − | 4.53866i | −0.151037 | − | 0.151037i | ||||
\(904\) | −14.2928 | − | 10.3843i | −0.475372 | − | 0.345378i | ||||
\(905\) | −10.9745 | + | 20.1083i | −0.364805 | + | 0.668423i | ||||
\(906\) | 10.7908 | + | 33.2106i | 0.358500 | + | 1.10335i | ||||
\(907\) | 1.63634 | − | 10.3315i | 0.0543338 | − | 0.343050i | −0.945514 | − | 0.325583i | \(-0.894440\pi\) |
0.999847 | − | 0.0174677i | \(-0.00556043\pi\) | |||||||
\(908\) | 12.3571 | − | 78.0196i | 0.410084 | − | 2.58917i | ||||
\(909\) | −2.46072 | − | 7.57331i | −0.0816168 | − | 0.251191i | ||||
\(910\) | 8.76638 | − | 2.57603i | 0.290603 | − | 0.0853947i | ||||
\(911\) | 1.59898 | + | 1.16173i | 0.0529766 | + | 0.0384898i | 0.613958 | − | 0.789338i | \(-0.289576\pi\) |
−0.560982 | + | 0.827828i | \(0.689576\pi\) | |||||||
\(912\) | −46.1287 | − | 46.1287i | −1.52747 | − | 1.52747i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 11.9739i | 0.396061i | ||||||||
\(915\) | 66.6024 | + | 1.88873i | 2.20181 | + | 0.0624394i | ||||
\(916\) | 21.1303 | − | 65.0322i | 0.698163 | − | 2.14873i | ||||
\(917\) | 2.97634 | + | 1.51652i | 0.0982873 | + | 0.0500799i | ||||
\(918\) | −4.94360 | − | 0.782990i | −0.163163 | − | 0.0258425i | ||||
\(919\) | 7.59633 | − | 5.51906i | 0.250580 | − | 0.182057i | −0.455404 | − | 0.890285i | \(-0.650505\pi\) |
0.705984 | + | 0.708228i | \(0.250505\pi\) | |||||||
\(920\) | −4.97192 | − | 38.4096i | −0.163919 | − | 1.26633i | ||||
\(921\) | −15.0013 | − | 4.87423i | −0.494311 | − | 0.160611i | ||||
\(922\) | 59.2140 | − | 9.37857i | 1.95011 | − | 0.308867i | ||||
\(923\) | 6.09950 | − | 6.09950i | 0.200768 | − | 0.200768i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −50.1594 | + | 22.0720i | −1.64923 | + | 0.725722i | ||||
\(926\) | 25.1369 | − | 34.5979i | 0.826049 | − | 1.13696i | ||||
\(927\) | 7.66608 | + | 15.0455i | 0.251787 | + | 0.494160i | ||||
\(928\) | 0.949969 | − | 1.86442i | 0.0311842 | − | 0.0612025i | ||||
\(929\) | −9.62586 | − | 13.2489i | −0.315814 | − | 0.434681i | 0.621369 | − | 0.783518i | \(-0.286577\pi\) |
−0.937183 | + | 0.348837i | \(0.886577\pi\) | |||||||
\(930\) | −28.5283 | − | 60.1466i | −0.935481 | − | 1.97228i | ||||
\(931\) | 28.9890 | − | 9.41909i | 0.950076 | − | 0.308698i | ||||
\(932\) | 12.6572 | − | 6.44915i | 0.414600 | − | 0.211249i | ||||
\(933\) | 12.0202 | + | 75.8925i | 0.393523 | + | 2.48461i | ||||
\(934\) | 39.8225 | 1.30303 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −97.1504 | −3.17546 | ||||||||
\(937\) | 1.20002 | + | 7.57665i | 0.0392031 | + | 0.247518i | 0.999506 | − | 0.0314423i | \(-0.0100101\pi\) |
−0.960302 | + | 0.278961i | \(0.910010\pi\) | |||||||
\(938\) | −4.84701 | + | 2.46967i | −0.158260 | + | 0.0806377i | ||||
\(939\) | 34.7797 | − | 11.3006i | 1.13499 | − | 0.368781i | ||||
\(940\) | −96.8808 | − | 34.5442i | −3.15990 | − | 1.12671i | ||||
\(941\) | 30.7787 | + | 42.3633i | 1.00336 | + | 1.38100i | 0.923243 | + | 0.384217i | \(0.125529\pi\) |
0.0801145 | + | 0.996786i | \(0.474471\pi\) | |||||||
\(942\) | 16.5434 | − | 32.4683i | 0.539014 | − | 1.05787i | ||||
\(943\) | −6.99110 | − | 13.7208i | −0.227661 | − | 0.446811i | ||||
\(944\) | −3.61282 | + | 4.97262i | −0.117587 | + | 0.161845i | ||||
\(945\) | −1.88570 | − | 0.353730i | −0.0613419 | − | 0.0115068i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −18.6613 | + | 18.6613i | −0.606410 | + | 0.606410i | −0.942006 | − | 0.335596i | \(-0.891062\pi\) |
0.335596 | + | 0.942006i | \(0.391062\pi\) | |||||||
\(948\) | −136.471 | + | 21.6150i | −4.43239 | + | 0.702021i | ||||
\(949\) | −54.2389 | − | 17.6233i | −1.76067 | − | 0.572076i | ||||
\(950\) | −41.4295 | + | 36.9789i | −1.34415 | + | 1.19975i | ||||
\(951\) | 15.2876 | − | 11.1071i | 0.495735 | − | 0.360173i | ||||
\(952\) | 1.76674 | + | 0.279823i | 0.0572602 | + | 0.00906913i | ||||
\(953\) | 1.22483 | + | 0.624080i | 0.0396760 | + | 0.0202159i | 0.473716 | − | 0.880678i | \(-0.342912\pi\) |
−0.434040 | + | 0.900894i | \(0.642912\pi\) | |||||||
\(954\) | −3.02164 | + | 9.29965i | −0.0978292 | + | 0.301087i | ||||
\(955\) | −21.1966 | − | 22.4339i | −0.685906 | − | 0.725943i | ||||
\(956\) | − | 1.99061i | − | 0.0643810i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 67.1684 | + | 67.1684i | 2.17011 | + | 2.17011i | ||||
\(959\) | 0.0537620 | + | 0.0390604i | 0.00173606 | + | 0.00126132i | ||||
\(960\) | −7.27233 | − | 24.7481i | −0.234714 | − | 0.798743i | ||||
\(961\) | −3.22200 | − | 9.91631i | −0.103936 | − | 0.319881i | ||||
\(962\) | 19.0009 | − | 119.967i | 0.612614 | − | 3.86789i | ||||
\(963\) | −7.65022 | + | 48.3016i | −0.246525 | + | 1.55650i | ||||
\(964\) | −21.7338 | − | 66.8897i | −0.699998 | − | 2.15437i | ||||
\(965\) | −8.51503 | − | 28.9771i | −0.274109 | − | 0.932806i | ||||
\(966\) | 6.01157 | + | 4.36766i | 0.193419 | + | 0.140527i | ||||
\(967\) | 13.4951 | + | 13.4951i | 0.433974 | + | 0.433974i | 0.889978 | − | 0.456004i | \(-0.150720\pi\) |
−0.456004 | + | 0.889978i | \(0.650720\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 10.0218i | − | 0.321946i | ||||||
\(970\) | 27.5741 | + | 29.1836i | 0.885351 | + | 0.937030i | ||||
\(971\) | −11.3505 | + | 34.9334i | −0.364256 | + | 1.12107i | 0.586189 | + | 0.810174i | \(0.300628\pi\) |
−0.950445 | + | 0.310891i | \(0.899372\pi\) | |||||||
\(972\) | −81.7283 | − | 41.6427i | −2.62144 | − | 1.33569i | ||||
\(973\) | −6.97243 | − | 1.10432i | −0.223526 | − | 0.0354030i | ||||
\(974\) | −70.9907 | + | 51.5777i | −2.27469 | + | 1.65266i | ||||
\(975\) | −3.29482 | + | 58.0461i | −0.105519 | + | 1.85896i | ||||
\(976\) | 60.4522 | + | 19.6421i | 1.93503 | + | 0.628729i | ||||
\(977\) | −35.6219 | + | 5.64195i | −1.13964 | + | 0.180502i | −0.697598 | − | 0.716490i | \(-0.745748\pi\) |
−0.442047 | + | 0.896992i | \(0.645748\pi\) | |||||||
\(978\) | −18.3254 | + | 18.3254i | −0.585981 | + | 0.585981i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −64.1951 | − | 12.0420i | −2.05064 | − | 0.384669i | ||||
\(981\) | −9.23925 | + | 12.7167i | −0.294986 | + | 0.406014i | ||||
\(982\) | 33.4246 | + | 65.5995i | 1.06662 | + | 2.09337i | ||||
\(983\) | −12.8606 | + | 25.2404i | −0.410190 | + | 0.805043i | −0.999997 | − | 0.00250122i | \(-0.999204\pi\) |
0.589807 | + | 0.807544i | \(0.299204\pi\) | |||||||
\(984\) | 43.6405 | + | 60.0659i | 1.39121 | + | 1.91483i | ||||
\(985\) | −32.7109 | − | 11.6635i | −1.04226 | − | 0.371630i | ||||
\(986\) | 1.57433 | − | 0.511531i | 0.0501369 | − | 0.0162905i | ||||
\(987\) | 9.31919 | − | 4.74837i | 0.296633 | − | 0.151142i | ||||
\(988\) | −13.0985 | − | 82.7004i | −0.416717 | − | 2.63105i | ||||
\(989\) | −20.3676 | −0.647651 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 57.3361 | 1.82134 | 0.910671 | − | 0.413132i | \(-0.135565\pi\) | ||||
0.910671 | + | 0.413132i | \(0.135565\pi\) | |||||||
\(992\) | −1.92921 | − | 12.1805i | −0.0612524 | − | 0.386733i | ||||
\(993\) | −30.9121 | + | 15.7505i | −0.980964 | + | 0.499826i | ||||
\(994\) | 1.70744 | − | 0.554781i | 0.0541567 | − | 0.0175966i | ||||
\(995\) | 15.5222 | + | 32.7256i | 0.492087 | + | 1.03747i | ||||
\(996\) | −46.8674 | − | 64.5074i | −1.48505 | − | 2.04400i | ||||
\(997\) | −6.99511 | + | 13.7287i | −0.221537 | + | 0.434791i | −0.974847 | − | 0.222874i | \(-0.928456\pi\) |
0.753310 | + | 0.657666i | \(0.228456\pi\) | |||||||
\(998\) | 32.0225 | + | 62.8477i | 1.01365 | + | 1.98941i | ||||
\(999\) | −14.9913 | + | 20.6337i | −0.474303 | + | 0.652821i |
(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 | 605.2.m.f.403.1 | 80 | ||
5.2 | odd | 4 | inner | 605.2.m.f.282.10 | 80 | ||
11.2 | odd | 10 | inner | 605.2.m.f.578.10 | 80 | ||
11.3 | even | 5 | inner | 605.2.m.f.118.1 | 80 | ||
11.4 | even | 5 | inner | 605.2.m.f.233.10 | 80 | ||
11.5 | even | 5 | 605.2.e.a.483.10 | yes | 20 | ||
11.6 | odd | 10 | 605.2.e.a.483.1 | yes | 20 | ||
11.7 | odd | 10 | inner | 605.2.m.f.233.1 | 80 | ||
11.8 | odd | 10 | inner | 605.2.m.f.118.10 | 80 | ||
11.9 | even | 5 | inner | 605.2.m.f.578.1 | 80 | ||
11.10 | odd | 2 | inner | 605.2.m.f.403.10 | 80 | ||
55.2 | even | 20 | inner | 605.2.m.f.457.10 | 80 | ||
55.7 | even | 20 | inner | 605.2.m.f.112.1 | 80 | ||
55.17 | even | 20 | 605.2.e.a.362.10 | yes | 20 | ||
55.27 | odd | 20 | 605.2.e.a.362.1 | ✓ | 20 | ||
55.32 | even | 4 | inner | 605.2.m.f.282.1 | 80 | ||
55.37 | odd | 20 | inner | 605.2.m.f.112.10 | 80 | ||
55.42 | odd | 20 | inner | 605.2.m.f.457.1 | 80 | ||
55.47 | odd | 20 | inner | 605.2.m.f.602.10 | 80 | ||
55.52 | even | 20 | inner | 605.2.m.f.602.1 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.e.a.362.1 | ✓ | 20 | 55.27 | odd | 20 | ||
605.2.e.a.362.10 | yes | 20 | 55.17 | even | 20 | ||
605.2.e.a.483.1 | yes | 20 | 11.6 | odd | 10 | ||
605.2.e.a.483.10 | yes | 20 | 11.5 | even | 5 | ||
605.2.m.f.112.1 | 80 | 55.7 | even | 20 | inner | ||
605.2.m.f.112.10 | 80 | 55.37 | odd | 20 | inner | ||
605.2.m.f.118.1 | 80 | 11.3 | even | 5 | inner | ||
605.2.m.f.118.10 | 80 | 11.8 | odd | 10 | inner | ||
605.2.m.f.233.1 | 80 | 11.7 | odd | 10 | inner | ||
605.2.m.f.233.10 | 80 | 11.4 | even | 5 | inner | ||
605.2.m.f.282.1 | 80 | 55.32 | even | 4 | inner | ||
605.2.m.f.282.10 | 80 | 5.2 | odd | 4 | inner | ||
605.2.m.f.403.1 | 80 | 1.1 | even | 1 | trivial | ||
605.2.m.f.403.10 | 80 | 11.10 | odd | 2 | inner | ||
605.2.m.f.457.1 | 80 | 55.42 | odd | 20 | inner | ||
605.2.m.f.457.10 | 80 | 55.2 | even | 20 | inner | ||
605.2.m.f.578.1 | 80 | 11.9 | even | 5 | inner | ||
605.2.m.f.578.10 | 80 | 11.2 | odd | 10 | inner | ||
605.2.m.f.602.1 | 80 | 55.52 | even | 20 | inner | ||
605.2.m.f.602.10 | 80 | 55.47 | odd | 20 | inner |