Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [310,2,Mod(39,310)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(310, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("310.39");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 310 = 2 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 310.n (of order \(10\), degree \(4\), 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: | \(2.47536246266\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 109.11 | ||
Character | \(\chi\) | \(=\) | 310.109 |
Dual form | 310.2.n.a.219.11 |
$q$-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 \(\left(\mathbb{Z}/310\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(251\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587785 | + | 0.809017i | 0.415627 | + | 0.572061i | ||||
\(3\) | −0.913834 | + | 1.25778i | −0.527602 | + | 0.726182i | −0.986763 | − | 0.162171i | \(-0.948150\pi\) |
0.459160 | + | 0.888353i | \(0.348150\pi\) | |||||||
\(4\) | −0.309017 | + | 0.951057i | −0.154508 | + | 0.475528i | ||||
\(5\) | 2.22372 | − | 0.234651i | 0.994479 | − | 0.104939i | ||||
\(6\) | −1.55471 | −0.634706 | ||||||||
\(7\) | 2.79616 | + | 0.908529i | 1.05685 | + | 0.343392i | 0.785353 | − | 0.619048i | \(-0.212481\pi\) |
0.271497 | + | 0.962439i | \(0.412481\pi\) | |||||||
\(8\) | −0.951057 | + | 0.309017i | −0.336249 | + | 0.109254i | ||||
\(9\) | 0.180122 | + | 0.554358i | 0.0600406 | + | 0.184786i | ||||
\(10\) | 1.49691 | + | 1.66110i | 0.473364 | + | 0.525287i | ||||
\(11\) | 1.65278 | − | 5.08673i | 0.498331 | − | 1.53371i | −0.313369 | − | 0.949632i | \(-0.601458\pi\) |
0.811700 | − | 0.584075i | \(-0.198542\pi\) | |||||||
\(12\) | −0.913834 | − | 1.25778i | −0.263801 | − | 0.363091i | ||||
\(13\) | −2.00343 | + | 2.75749i | −0.555652 | + | 0.764789i | −0.990766 | − | 0.135586i | \(-0.956708\pi\) |
0.435114 | + | 0.900376i | \(0.356708\pi\) | |||||||
\(14\) | 0.908529 | + | 2.79616i | 0.242815 | + | 0.747306i | ||||
\(15\) | −1.73697 | + | 3.01139i | −0.448484 | + | 0.777539i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −4.80814 | + | 1.56226i | −1.16615 | + | 0.378903i | −0.827203 | − | 0.561904i | \(-0.810069\pi\) |
−0.338942 | + | 0.940807i | \(0.610069\pi\) | |||||||
\(18\) | −0.342612 | + | 0.471565i | −0.0807544 | + | 0.111149i | ||||
\(19\) | −5.22960 | + | 3.79953i | −1.19975 | + | 0.871671i | −0.994260 | − | 0.106988i | \(-0.965879\pi\) |
−0.205492 | + | 0.978659i | \(0.565879\pi\) | |||||||
\(20\) | −0.464002 | + | 2.18740i | −0.103754 | + | 0.489117i | ||||
\(21\) | −3.69796 | + | 2.68673i | −0.806962 | + | 0.586292i | ||||
\(22\) | 5.08673 | − | 1.65278i | 1.08449 | − | 0.352373i | ||||
\(23\) | 6.10655 | − | 1.98414i | 1.27330 | − | 0.413721i | 0.407086 | − | 0.913390i | \(-0.366545\pi\) |
0.866217 | + | 0.499668i | \(0.166545\pi\) | |||||||
\(24\) | 0.480431 | − | 1.47861i | 0.0980675 | − | 0.301821i | ||||
\(25\) | 4.88988 | − | 1.04360i | 0.977976 | − | 0.208719i | ||||
\(26\) | −3.40844 | −0.668450 | ||||||||
\(27\) | −5.29771 | − | 1.72133i | −1.01954 | − | 0.331270i | ||||
\(28\) | −1.72812 | + | 2.37856i | −0.326585 | + | 0.449505i | ||||
\(29\) | 1.65316 | − | 1.20109i | 0.306985 | − | 0.223038i | −0.423617 | − | 0.905841i | \(-0.639240\pi\) |
0.730602 | + | 0.682804i | \(0.239240\pi\) | |||||||
\(30\) | −3.45724 | + | 0.364813i | −0.631202 | + | 0.0666055i | ||||
\(31\) | 1.69296 | − | 5.30414i | 0.304064 | − | 0.952652i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 4.88764 | + | 6.72726i | 0.850829 | + | 1.17107i | ||||
\(34\) | −4.09005 | − | 2.97159i | −0.701437 | − | 0.509624i | ||||
\(35\) | 6.43108 | + | 1.36419i | 1.08705 | + | 0.230591i | ||||
\(36\) | −0.582886 | −0.0971477 | ||||||||
\(37\) | − | 0.355184i | − | 0.0583920i | −0.999574 | − | 0.0291960i | \(-0.990705\pi\) | ||
0.999574 | − | 0.0291960i | \(-0.00929469\pi\) | |||||||
\(38\) | −6.14776 | − | 1.99753i | −0.997299 | − | 0.324042i | ||||
\(39\) | −1.63752 | − | 5.03977i | −0.262213 | − | 0.807009i | ||||
\(40\) | −2.04237 | + | 0.910334i | −0.322928 | + | 0.143936i | ||||
\(41\) | −5.98905 | + | 4.35130i | −0.935332 | + | 0.679558i | −0.947292 | − | 0.320370i | \(-0.896193\pi\) |
0.0119605 | + | 0.999928i | \(0.496193\pi\) | |||||||
\(42\) | −4.34722 | − | 1.41250i | −0.670790 | − | 0.217953i | ||||
\(43\) | −2.16858 | − | 2.98479i | −0.330705 | − | 0.455176i | 0.610993 | − | 0.791636i | \(-0.290770\pi\) |
−0.941698 | + | 0.336460i | \(0.890770\pi\) | |||||||
\(44\) | 4.32703 | + | 3.14377i | 0.652324 | + | 0.473941i | ||||
\(45\) | 0.530621 | + | 1.19047i | 0.0791004 | + | 0.177465i | ||||
\(46\) | 5.19454 | + | 3.77405i | 0.765893 | + | 0.556454i | ||||
\(47\) | 7.46139 | − | 10.2697i | 1.08835 | − | 1.49799i | 0.238378 | − | 0.971172i | \(-0.423384\pi\) |
0.849977 | − | 0.526820i | \(-0.176616\pi\) | |||||||
\(48\) | 1.47861 | − | 0.480431i | 0.213420 | − | 0.0693442i | ||||
\(49\) | 1.32999 | + | 0.966295i | 0.189999 | + | 0.138042i | ||||
\(50\) | 3.71849 | + | 3.34258i | 0.525873 | + | 0.472713i | ||||
\(51\) | 2.42885 | − | 7.47525i | 0.340108 | − | 1.04674i | ||||
\(52\) | −2.00343 | − | 2.75749i | −0.277826 | − | 0.382395i | ||||
\(53\) | −0.0123555 | + | 0.00401453i | −0.00169715 | + | 0.000551438i | −0.309865 | − | 0.950780i | \(-0.600284\pi\) |
0.308168 | + | 0.951332i | \(0.400284\pi\) | |||||||
\(54\) | −1.72133 | − | 5.29771i | −0.234243 | − | 0.720927i | ||||
\(55\) | 2.48171 | − | 11.6993i | 0.334634 | − | 1.57753i | ||||
\(56\) | −2.94006 | −0.392882 | ||||||||
\(57\) | − | 10.0498i | − | 1.33113i | ||||||
\(58\) | 1.94341 | + | 0.631453i | 0.255182 | + | 0.0829138i | ||||
\(59\) | 7.58927 | + | 5.51393i | 0.988039 | + | 0.717853i | 0.959491 | − | 0.281740i | \(-0.0909115\pi\) |
0.0285485 | + | 0.999592i | \(0.490912\pi\) | |||||||
\(60\) | −2.32725 | − | 2.58253i | −0.300447 | − | 0.333403i | ||||
\(61\) | 6.91322 | 0.885147 | 0.442573 | − | 0.896732i | \(-0.354066\pi\) | ||||
0.442573 | + | 0.896732i | \(0.354066\pi\) | |||||||
\(62\) | 5.28623 | − | 1.74806i | 0.671352 | − | 0.222004i | ||||
\(63\) | 1.71372i | 0.215909i | ||||||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −3.80803 | + | 6.60199i | −0.472328 | + | 0.818876i | ||||
\(66\) | −2.56959 | + | 7.90837i | −0.316294 | + | 0.973453i | ||||
\(67\) | − | 8.83439i | − | 1.07929i | −0.841892 | − | 0.539646i | \(-0.818558\pi\) | ||
0.841892 | − | 0.539646i | \(-0.181442\pi\) | |||||||
\(68\) | − | 5.05558i | − | 0.613079i | ||||||
\(69\) | −3.08475 | + | 9.49389i | −0.371361 | + | 1.14293i | ||||
\(70\) | 2.67644 | + | 6.00470i | 0.319896 | + | 0.717699i | ||||
\(71\) | 3.09697 | + | 9.53148i | 0.367542 | + | 1.13118i | 0.948374 | + | 0.317155i | \(0.102728\pi\) |
−0.580831 | + | 0.814024i | \(0.697272\pi\) | |||||||
\(72\) | −0.342612 | − | 0.471565i | −0.0403772 | − | 0.0555745i | ||||
\(73\) | −3.22181 | − | 1.04683i | −0.377084 | − | 0.122522i | 0.114342 | − | 0.993441i | \(-0.463524\pi\) |
−0.491426 | + | 0.870919i | \(0.663524\pi\) | |||||||
\(74\) | 0.287350 | − | 0.208772i | 0.0334038 | − | 0.0242693i | ||||
\(75\) | −3.15592 | + | 7.10409i | −0.364414 | + | 0.820309i | ||||
\(76\) | −1.99753 | − | 6.14776i | −0.229132 | − | 0.705197i | ||||
\(77\) | 9.24288 | − | 12.7217i | 1.05332 | − | 1.44978i | ||||
\(78\) | 3.11475 | − | 4.28708i | 0.352676 | − | 0.485417i | ||||
\(79\) | −3.26876 | − | 10.0602i | −0.367764 | − | 1.13186i | −0.948232 | − | 0.317579i | \(-0.897130\pi\) |
0.580467 | − | 0.814283i | \(-0.302870\pi\) | |||||||
\(80\) | −1.93695 | − | 1.11723i | −0.216558 | − | 0.124911i | ||||
\(81\) | 5.59159 | − | 4.06253i | 0.621288 | − | 0.451392i | ||||
\(82\) | −7.04055 | − | 2.28761i | −0.777498 | − | 0.252625i | ||||
\(83\) | −5.25598 | − | 7.23423i | −0.576919 | − | 0.794060i | 0.416435 | − | 0.909166i | \(-0.363279\pi\) |
−0.993353 | + | 0.115105i | \(0.963279\pi\) | |||||||
\(84\) | −1.41250 | − | 4.34722i | −0.154116 | − | 0.474320i | ||||
\(85\) | −10.3254 | + | 4.60226i | −1.11994 | + | 0.499186i | ||||
\(86\) | 1.14009 | − | 3.50883i | 0.122939 | − | 0.378367i | ||||
\(87\) | 3.17692i | 0.340602i | ||||||||
\(88\) | 5.34850i | 0.570152i | ||||||||
\(89\) | −2.84661 | + | 8.76096i | −0.301740 | + | 0.928660i | 0.679134 | + | 0.734015i | \(0.262356\pi\) |
−0.980874 | + | 0.194645i | \(0.937644\pi\) | |||||||
\(90\) | −0.651221 | + | 1.12902i | −0.0686447 | + | 0.119010i | ||||
\(91\) | −8.10718 | + | 5.89021i | −0.849863 | + | 0.617462i | ||||
\(92\) | 6.42080i | 0.669415i | ||||||||
\(93\) | 5.12438 | + | 6.97648i | 0.531374 | + | 0.723427i | ||||
\(94\) | 12.6941 | 1.30929 | ||||||||
\(95\) | −10.7376 | + | 9.67622i | −1.10166 | + | 0.992759i | ||||
\(96\) | 1.25778 | + | 0.913834i | 0.128372 | + | 0.0932678i | ||||
\(97\) | −2.24610 | − | 0.729803i | −0.228057 | − | 0.0741003i | 0.192759 | − | 0.981246i | \(-0.438256\pi\) |
−0.420816 | + | 0.907146i | \(0.638256\pi\) | |||||||
\(98\) | 1.64396i | 0.166065i | ||||||||
\(99\) | 3.11757 | 0.313328 | ||||||||
\(100\) | −0.518536 | + | 4.97304i | −0.0518536 | + | 0.497304i | ||||
\(101\) | −2.83781 | − | 8.73389i | −0.282373 | − | 0.869055i | −0.987174 | − | 0.159649i | \(-0.948964\pi\) |
0.704801 | − | 0.709405i | \(-0.251036\pi\) | |||||||
\(102\) | 7.47525 | − | 2.42885i | 0.740160 | − | 0.240492i | ||||
\(103\) | 0.510935 | + | 0.703242i | 0.0503439 | + | 0.0692925i | 0.833447 | − | 0.552600i | \(-0.186364\pi\) |
−0.783103 | + | 0.621892i | \(0.786364\pi\) | |||||||
\(104\) | 1.05327 | − | 3.24162i | 0.103281 | − | 0.317867i | ||||
\(105\) | −7.59280 | + | 6.84226i | −0.740981 | + | 0.667737i | ||||
\(106\) | −0.0105102 | − | 0.00763609i | −0.00102084 | − | 0.000741683i | ||||
\(107\) | −14.1285 | + | 4.59061i | −1.36585 | + | 0.443791i | −0.897992 | − | 0.440012i | \(-0.854974\pi\) |
−0.467858 | + | 0.883804i | \(0.654974\pi\) | |||||||
\(108\) | 3.27416 | − | 4.50650i | 0.315056 | − | 0.433638i | ||||
\(109\) | 4.97303 | + | 3.61312i | 0.476330 | + | 0.346074i | 0.799903 | − | 0.600129i | \(-0.204884\pi\) |
−0.323573 | + | 0.946203i | \(0.604884\pi\) | |||||||
\(110\) | 10.9236 | − | 4.86892i | 1.04153 | − | 0.464234i | ||||
\(111\) | 0.446745 | + | 0.324580i | 0.0424032 | + | 0.0308077i | ||||
\(112\) | −1.72812 | − | 2.37856i | −0.163292 | − | 0.224753i | ||||
\(113\) | 15.9660 | + | 5.18768i | 1.50196 | + | 0.488016i | 0.940588 | − | 0.339549i | \(-0.110275\pi\) |
0.561370 | + | 0.827565i | \(0.310275\pi\) | |||||||
\(114\) | 8.13049 | − | 5.90715i | 0.761490 | − | 0.553255i | ||||
\(115\) | 13.1137 | − | 5.84508i | 1.22286 | − | 0.545056i | ||||
\(116\) | 0.631453 | + | 1.94341i | 0.0586289 | + | 0.180441i | ||||
\(117\) | −1.88950 | − | 0.613935i | −0.174684 | − | 0.0567583i | ||||
\(118\) | 9.38086i | 0.863578i | ||||||||
\(119\) | −14.8637 | −1.36255 | ||||||||
\(120\) | 0.721386 | − | 3.40076i | 0.0658533 | − | 0.310446i | ||||
\(121\) | −14.2439 | − | 10.3488i | −1.29490 | − | 0.940802i | ||||
\(122\) | 4.06349 | + | 5.59291i | 0.367891 | + | 0.506358i | ||||
\(123\) | − | 11.5093i | − | 1.03776i | ||||||
\(124\) | 4.52138 | + | 3.24917i | 0.406032 | + | 0.291784i | ||||
\(125\) | 10.6288 | − | 3.46808i | 0.950673 | − | 0.310195i | ||||
\(126\) | −1.38643 | + | 1.00730i | −0.123513 | + | 0.0897375i | ||||
\(127\) | −4.78506 | + | 6.58607i | −0.424605 | + | 0.584419i | −0.966704 | − | 0.255895i | \(-0.917630\pi\) |
0.542099 | + | 0.840315i | \(0.317630\pi\) | |||||||
\(128\) | 0.951057 | + | 0.309017i | 0.0840623 | + | 0.0273135i | ||||
\(129\) | 5.73594 | 0.505022 | ||||||||
\(130\) | −7.57943 | + | 0.799794i | −0.664760 | + | 0.0701466i | ||||
\(131\) | −0.688733 | + | 2.11970i | −0.0601749 | + | 0.185199i | −0.976625 | − | 0.214949i | \(-0.931041\pi\) |
0.916450 | + | 0.400148i | \(0.131041\pi\) | |||||||
\(132\) | −7.90837 | + | 2.56959i | −0.688335 | + | 0.223654i | ||||
\(133\) | −18.0748 | + | 5.87286i | −1.56728 | + | 0.509241i | ||||
\(134\) | 7.14717 | − | 5.19272i | 0.617421 | − | 0.448583i | ||||
\(135\) | −12.1845 | − | 2.58465i | −1.04868 | − | 0.222451i | ||||
\(136\) | 4.09005 | − | 2.97159i | 0.350719 | − | 0.254812i | ||||
\(137\) | 9.57644 | − | 13.1808i | 0.818171 | − | 1.12612i | −0.171840 | − | 0.985125i | \(-0.554971\pi\) |
0.990011 | − | 0.140990i | \(-0.0450286\pi\) | |||||||
\(138\) | −9.49389 | + | 3.08475i | −0.808174 | + | 0.262592i | ||||
\(139\) | −10.7169 | − | 7.78627i | −0.908994 | − | 0.660423i | 0.0317661 | − | 0.999495i | \(-0.489887\pi\) |
−0.940760 | + | 0.339072i | \(0.889887\pi\) | |||||||
\(140\) | −3.28474 | + | 5.69476i | −0.277611 | + | 0.481295i | ||||
\(141\) | 6.09862 | + | 18.7696i | 0.513597 | + | 1.58069i | ||||
\(142\) | −5.89078 | + | 8.10796i | −0.494343 | + | 0.680405i | ||||
\(143\) | 10.7154 | + | 14.7484i | 0.896063 | + | 1.23333i | ||||
\(144\) | 0.180122 | − | 0.554358i | 0.0150102 | − | 0.0461965i | ||||
\(145\) | 3.39434 | − | 3.05882i | 0.281885 | − | 0.254021i | ||||
\(146\) | −1.04683 | − | 3.22181i | −0.0866361 | − | 0.266639i | ||||
\(147\) | −2.43078 | + | 0.789809i | −0.200487 | + | 0.0651423i | ||||
\(148\) | 0.337801 | + | 0.109758i | 0.0277670 | + | 0.00902206i | ||||
\(149\) | −21.1121 | −1.72957 | −0.864784 | − | 0.502144i | \(-0.832545\pi\) | ||||
−0.864784 | + | 0.502144i | \(0.832545\pi\) | |||||||
\(150\) | −7.60233 | + | 1.62249i | −0.620727 | + | 0.132476i | ||||
\(151\) | −2.39010 | + | 7.35597i | −0.194504 | + | 0.598620i | 0.805478 | + | 0.592625i | \(0.201908\pi\) |
−0.999982 | + | 0.00599537i | \(0.998092\pi\) | |||||||
\(152\) | 3.79953 | − | 5.22960i | 0.308182 | − | 0.424176i | ||||
\(153\) | −1.73210 | − | 2.38403i | −0.140032 | − | 0.192738i | ||||
\(154\) | 15.7249 | 1.26715 | ||||||||
\(155\) | 2.52004 | − | 12.1922i | 0.202415 | − | 0.979300i | ||||
\(156\) | 5.29913 | 0.424270 | ||||||||
\(157\) | 2.43353 | + | 3.34947i | 0.194217 | + | 0.267317i | 0.895008 | − | 0.446050i | \(-0.147170\pi\) |
−0.700791 | + | 0.713366i | \(0.747170\pi\) | |||||||
\(158\) | 6.21755 | − | 8.55773i | 0.494642 | − | 0.680816i | ||||
\(159\) | 0.00624142 | − | 0.0192091i | 0.000494977 | − | 0.00152338i | ||||
\(160\) | −0.234651 | − | 2.22372i | −0.0185508 | − | 0.175801i | ||||
\(161\) | 18.8776 | 1.48776 | ||||||||
\(162\) | 6.57331 | + | 2.13580i | 0.516448 | + | 0.167804i | ||||
\(163\) | −12.5207 | + | 4.06824i | −0.980701 | + | 0.318649i | −0.755128 | − | 0.655577i | \(-0.772425\pi\) |
−0.225573 | + | 0.974226i | \(0.572425\pi\) | |||||||
\(164\) | −2.28761 | − | 7.04055i | −0.178633 | − | 0.549774i | ||||
\(165\) | 12.4473 | + | 13.8127i | 0.969022 | + | 1.07531i | ||||
\(166\) | 2.76323 | − | 8.50435i | 0.214468 | − | 0.660066i | ||||
\(167\) | 13.1925 | + | 18.1580i | 1.02087 | + | 1.40511i | 0.911592 | + | 0.411096i | \(0.134854\pi\) |
0.109278 | + | 0.994011i | \(0.465146\pi\) | |||||||
\(168\) | 2.68673 | − | 3.69796i | 0.207285 | − | 0.285304i | ||||
\(169\) | 0.427225 | + | 1.31486i | 0.0328635 | + | 0.101143i | ||||
\(170\) | −9.79242 | − | 5.64826i | −0.751044 | − | 0.433202i | ||||
\(171\) | −3.04826 | − | 2.21469i | −0.233106 | − | 0.169362i | ||||
\(172\) | 3.50883 | − | 1.14009i | 0.267546 | − | 0.0869310i | ||||
\(173\) | 6.66402 | − | 9.17224i | 0.506656 | − | 0.697353i | −0.476695 | − | 0.879069i | \(-0.658165\pi\) |
0.983351 | + | 0.181716i | \(0.0581653\pi\) | |||||||
\(174\) | −2.57019 | + | 1.86735i | −0.194845 | + | 0.141563i | ||||
\(175\) | 14.6210 | + | 1.52453i | 1.10525 | + | 0.115243i | ||||
\(176\) | −4.32703 | + | 3.14377i | −0.326162 | + | 0.236971i | ||||
\(177\) | −13.8707 | + | 4.50685i | −1.04258 | + | 0.338756i | ||||
\(178\) | −8.76096 | + | 2.84661i | −0.656662 | + | 0.213362i | ||||
\(179\) | 2.79983 | − | 8.61700i | 0.209269 | − | 0.644065i | −0.790242 | − | 0.612795i | \(-0.790045\pi\) |
0.999511 | − | 0.0312694i | \(-0.00995498\pi\) | |||||||
\(180\) | −1.29618 | + | 0.136775i | −0.0966114 | + | 0.0101946i | ||||
\(181\) | −10.3658 | −0.770487 | −0.385243 | − | 0.922815i | \(-0.625882\pi\) | ||||
−0.385243 | + | 0.922815i | \(0.625882\pi\) | |||||||
\(182\) | −9.53056 | − | 3.09667i | −0.706452 | − | 0.229540i | ||||
\(183\) | −6.31753 | + | 8.69533i | −0.467005 | + | 0.642778i | ||||
\(184\) | −5.19454 | + | 3.77405i | −0.382947 | + | 0.278227i | ||||
\(185\) | −0.0833444 | − | 0.789831i | −0.00612760 | − | 0.0580696i | ||||
\(186\) | −2.63205 | + | 8.24638i | −0.192991 | + | 0.604654i | ||||
\(187\) | 27.0398i | 1.97734i | ||||||||
\(188\) | 7.46139 | + | 10.2697i | 0.544177 | + | 0.748996i | ||||
\(189\) | −13.2494 | − | 9.62624i | −0.963751 | − | 0.700206i | ||||
\(190\) | −14.1396 | − | 2.99937i | −1.02580 | − | 0.217597i | ||||
\(191\) | 18.5318 | 1.34092 | 0.670458 | − | 0.741948i | \(-0.266098\pi\) | ||||
0.670458 | + | 0.741948i | \(0.266098\pi\) | |||||||
\(192\) | 1.55471i | 0.112201i | ||||||||
\(193\) | −5.63993 | − | 1.83252i | −0.405971 | − | 0.131908i | 0.0989110 | − | 0.995096i | \(-0.468464\pi\) |
−0.504882 | + | 0.863188i | \(0.668464\pi\) | |||||||
\(194\) | −0.729803 | − | 2.24610i | −0.0523968 | − | 0.161261i | ||||
\(195\) | −4.82398 | − | 10.8228i | −0.345452 | − | 0.775037i | ||||
\(196\) | −1.32999 | + | 0.966295i | −0.0949994 | + | 0.0690211i | ||||
\(197\) | 0.129723 | + | 0.0421496i | 0.00924238 | + | 0.00300303i | 0.313635 | − | 0.949544i | \(-0.398453\pi\) |
−0.304392 | + | 0.952547i | \(0.598453\pi\) | |||||||
\(198\) | 1.83246 | + | 2.52217i | 0.130227 | + | 0.179243i | ||||
\(199\) | −2.39975 | − | 1.74352i | −0.170114 | − | 0.123595i | 0.499471 | − | 0.866331i | \(-0.333528\pi\) |
−0.669584 | + | 0.742736i | \(0.733528\pi\) | |||||||
\(200\) | −4.32806 | + | 2.50357i | −0.306040 | + | 0.177029i | ||||
\(201\) | 11.1118 | + | 8.07316i | 0.783763 | + | 0.569437i | ||||
\(202\) | 5.39784 | − | 7.42949i | 0.379791 | − | 0.522737i | ||||
\(203\) | 5.71375 | − | 1.85651i | 0.401026 | − | 0.130301i | ||||
\(204\) | 6.35882 | + | 4.61996i | 0.445207 | + | 0.323462i | ||||
\(205\) | −12.2969 | + | 11.0814i | −0.858855 | + | 0.773959i | ||||
\(206\) | −0.268615 | + | 0.826711i | −0.0187153 | + | 0.0575997i | ||||
\(207\) | 2.19984 | + | 3.02783i | 0.152900 | + | 0.210449i | ||||
\(208\) | 3.24162 | − | 1.05327i | 0.224766 | − | 0.0730309i | ||||
\(209\) | 10.6838 | + | 32.8813i | 0.739013 | + | 2.27445i | ||||
\(210\) | −9.99844 | − | 2.12092i | −0.689958 | − | 0.146357i | ||||
\(211\) | −9.09369 | −0.626035 | −0.313018 | − | 0.949747i | \(-0.601340\pi\) | ||||
−0.313018 | + | 0.949747i | \(0.601340\pi\) | |||||||
\(212\) | − | 0.0129913i | − | 0.000892246i | ||||||
\(213\) | −14.8187 | − | 4.81487i | −1.01536 | − | 0.329910i | ||||
\(214\) | −12.0184 | − | 8.73187i | −0.821560 | − | 0.596898i | ||||
\(215\) | −5.52270 | − | 6.12849i | −0.376645 | − | 0.417959i | ||||
\(216\) | 5.57034 | 0.379014 | ||||||||
\(217\) | 9.55275 | − | 13.2931i | 0.648483 | − | 0.902398i | ||||
\(218\) | 6.14700i | 0.416328i | ||||||||
\(219\) | 4.26088 | − | 3.09571i | 0.287924 | − | 0.209189i | ||||
\(220\) | 10.3598 | + | 5.97553i | 0.698457 | + | 0.402870i | ||||
\(221\) | 5.32487 | − | 16.3883i | 0.358189 | − | 1.10239i | ||||
\(222\) | 0.552208i | 0.0370618i | ||||||||
\(223\) | 4.83197i | 0.323573i | 0.986826 | + | 0.161786i | \(0.0517256\pi\) | ||||
−0.986826 | + | 0.161786i | \(0.948274\pi\) | |||||||
\(224\) | 0.908529 | − | 2.79616i | 0.0607036 | − | 0.186827i | ||||
\(225\) | 1.45930 | + | 2.52277i | 0.0972867 | + | 0.168185i | ||||
\(226\) | 5.18768 | + | 15.9660i | 0.345079 | + | 1.06204i | ||||
\(227\) | 1.30664 | + | 1.79844i | 0.0867250 | + | 0.119367i | 0.850175 | − | 0.526500i | \(-0.176496\pi\) |
−0.763450 | + | 0.645867i | \(0.776496\pi\) | |||||||
\(228\) | 9.55797 | + | 3.10557i | 0.632992 | + | 0.205672i | ||||
\(229\) | −16.4789 | + | 11.9726i | −1.08896 | + | 0.791173i | −0.979223 | − | 0.202788i | \(-0.935000\pi\) |
−0.109733 | + | 0.993961i | \(0.535000\pi\) | |||||||
\(230\) | 12.4368 | + | 7.17354i | 0.820058 | + | 0.473009i | ||||
\(231\) | 7.55474 | + | 23.2511i | 0.497065 | + | 1.52981i | ||||
\(232\) | −1.20109 | + | 1.65316i | −0.0788557 | + | 0.108536i | ||||
\(233\) | −7.45074 | + | 10.2551i | −0.488114 | + | 0.671831i | −0.980039 | − | 0.198806i | \(-0.936294\pi\) |
0.491925 | + | 0.870638i | \(0.336294\pi\) | |||||||
\(234\) | −0.613935 | − | 1.88950i | −0.0401342 | − | 0.123520i | ||||
\(235\) | 14.1822 | − | 24.5878i | 0.925148 | − | 1.60393i | ||||
\(236\) | −7.58927 | + | 5.51393i | −0.494020 | + | 0.358926i | ||||
\(237\) | 15.6407 | + | 5.08197i | 1.01597 | + | 0.330109i | ||||
\(238\) | −8.73667 | − | 12.0250i | −0.566314 | − | 0.779464i | ||||
\(239\) | −0.0999939 | − | 0.307750i | −0.00646807 | − | 0.0199067i | 0.947770 | − | 0.318953i | \(-0.103331\pi\) |
−0.954238 | + | 0.299047i | \(0.903331\pi\) | |||||||
\(240\) | 3.17529 | − | 1.41530i | 0.204964 | − | 0.0913574i | ||||
\(241\) | 0.552133 | − | 1.69929i | 0.0355660 | − | 0.109461i | −0.931697 | − | 0.363235i | \(-0.881672\pi\) |
0.967263 | + | 0.253774i | \(0.0816721\pi\) | |||||||
\(242\) | − | 17.6065i | − | 1.13179i | ||||||
\(243\) | − | 5.96553i | − | 0.382689i | ||||||
\(244\) | −2.13630 | + | 6.57486i | −0.136763 | + | 0.420912i | ||||
\(245\) | 3.18427 | + | 1.83669i | 0.203436 | + | 0.117342i | ||||
\(246\) | 9.31121 | − | 6.76499i | 0.593661 | − | 0.431320i | ||||
\(247\) | − | 22.0326i | − | 1.40190i | ||||||
\(248\) | 0.0289725 | + | 5.56769i | 0.00183975 | + | 0.353549i | ||||
\(249\) | 13.9022 | 0.881016 | ||||||||
\(250\) | 9.05322 | + | 6.56043i | 0.572576 | + | 0.414918i | ||||
\(251\) | 2.52091 | + | 1.83155i | 0.159118 | + | 0.115606i | 0.664495 | − | 0.747292i | \(-0.268647\pi\) |
−0.505377 | + | 0.862899i | \(0.668647\pi\) | |||||||
\(252\) | −1.62985 | − | 0.529569i | −0.102671 | − | 0.0333597i | ||||
\(253\) | − | 34.3417i | − | 2.15904i | ||||||
\(254\) | −8.14083 | −0.510801 | ||||||||
\(255\) | 3.64702 | − | 17.1928i | 0.228386 | − | 1.07666i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 1.48703 | − | 0.483166i | 0.0927586 | − | 0.0301391i | −0.262270 | − | 0.964995i | \(-0.584471\pi\) |
0.355029 | + | 0.934855i | \(0.384471\pi\) | |||||||
\(258\) | 3.37150 | + | 4.64048i | 0.209901 | + | 0.288903i | ||||
\(259\) | 0.322695 | − | 0.993154i | 0.0200513 | − | 0.0617116i | ||||
\(260\) | −5.10212 | − | 5.66178i | −0.316420 | − | 0.351128i | ||||
\(261\) | 0.963607 | + | 0.700102i | 0.0596458 | + | 0.0433352i | ||||
\(262\) | −2.11970 | + | 0.688733i | −0.130956 | + | 0.0425501i | ||||
\(263\) | −1.49385 | + | 2.05611i | −0.0921150 | + | 0.126785i | −0.852587 | − | 0.522585i | \(-0.824968\pi\) |
0.760472 | + | 0.649371i | \(0.224968\pi\) | |||||||
\(264\) | −6.72726 | − | 4.88764i | −0.414034 | − | 0.300814i | ||||
\(265\) | −0.0265331 | + | 0.0118264i | −0.00162991 | + | 0.000726491i | ||||
\(266\) | −15.3753 | − | 11.1708i | −0.942723 | − | 0.684928i | ||||
\(267\) | −8.41807 | − | 11.5865i | −0.515178 | − | 0.709081i | ||||
\(268\) | 8.40200 | + | 2.72998i | 0.513234 | + | 0.166760i | ||||
\(269\) | −4.75866 | + | 3.45737i | −0.290141 | + | 0.210799i | −0.723328 | − | 0.690504i | \(-0.757389\pi\) |
0.433188 | + | 0.901304i | \(0.357389\pi\) | |||||||
\(270\) | −5.07087 | − | 11.3767i | −0.308603 | − | 0.692365i | ||||
\(271\) | −2.15810 | − | 6.64195i | −0.131095 | − | 0.403470i | 0.863867 | − | 0.503720i | \(-0.168036\pi\) |
−0.994962 | + | 0.100250i | \(0.968036\pi\) | |||||||
\(272\) | 4.80814 | + | 1.56226i | 0.291536 | + | 0.0947259i | ||||
\(273\) | − | 15.5798i | − | 0.942930i | ||||||
\(274\) | 16.2924 | 0.984261 | ||||||||
\(275\) | 2.77339 | − | 26.5983i | 0.167242 | − | 1.60394i | ||||
\(276\) | −8.07599 | − | 5.86755i | −0.486117 | − | 0.353185i | ||||
\(277\) | 16.2619 | + | 22.3826i | 0.977082 | + | 1.34484i | 0.938387 | + | 0.345587i | \(0.112320\pi\) |
0.0386953 | + | 0.999251i | \(0.487680\pi\) | |||||||
\(278\) | − | 13.2468i | − | 0.794490i | ||||||
\(279\) | 3.24533 | − | 0.0168877i | 0.194293 | − | 0.00101104i | ||||
\(280\) | −6.53788 | + | 0.689888i | −0.390713 | + | 0.0412287i | ||||
\(281\) | 7.42619 | − | 5.39544i | 0.443009 | − | 0.321865i | −0.343820 | − | 0.939035i | \(-0.611721\pi\) |
0.786829 | + | 0.617171i | \(0.211721\pi\) | |||||||
\(282\) | −11.6003 | + | 15.9664i | −0.690786 | + | 0.950785i | ||||
\(283\) | −11.8133 | − | 3.83837i | −0.702226 | − | 0.228167i | −0.0639260 | − | 0.997955i | \(-0.520362\pi\) |
−0.638300 | + | 0.769787i | \(0.720362\pi\) | |||||||
\(284\) | −10.0220 | −0.594696 | ||||||||
\(285\) | −2.35820 | − | 22.3481i | −0.139688 | − | 1.32378i | ||||
\(286\) | −5.63340 | + | 17.3378i | −0.333110 | + | 1.02521i | ||||
\(287\) | −20.6996 | + | 6.72572i | −1.22186 | + | 0.397007i | ||||
\(288\) | 0.554358 | − | 0.180122i | 0.0326659 | − | 0.0106138i | ||||
\(289\) | 6.92426 | − | 5.03077i | 0.407309 | − | 0.295928i | ||||
\(290\) | 4.46978 | + | 0.948152i | 0.262474 | + | 0.0556774i | ||||
\(291\) | 2.97050 | − | 2.15819i | 0.174134 | − | 0.126516i | ||||
\(292\) | 1.99119 | − | 2.74063i | 0.116525 | − | 0.160383i | ||||
\(293\) | 13.5113 | − | 4.39009i | 0.789339 | − | 0.256472i | 0.113516 | − | 0.993536i | \(-0.463789\pi\) |
0.675822 | + | 0.737064i | \(0.263789\pi\) | |||||||
\(294\) | −2.06775 | − | 1.50231i | −0.120593 | − | 0.0876162i | ||||
\(295\) | 18.1703 | + | 10.4806i | 1.05791 | + | 0.610205i | ||||
\(296\) | 0.109758 | + | 0.337801i | 0.00637956 | + | 0.0196343i | ||||
\(297\) | −17.5119 | + | 24.1030i | −1.01614 | + | 1.39860i | ||||
\(298\) | −12.4094 | − | 17.0800i | −0.718855 | − | 0.989419i | ||||
\(299\) | −6.76282 | + | 20.8138i | −0.391104 | + | 1.20369i | ||||
\(300\) | −5.78116 | − | 5.19674i | −0.333775 | − | 0.300034i | ||||
\(301\) | −3.35193 | − | 10.3162i | −0.193202 | − | 0.594615i | ||||
\(302\) | −7.35597 | + | 2.39010i | −0.423289 | + | 0.137535i | ||||
\(303\) | 13.5786 | + | 4.41197i | 0.780072 | + | 0.253461i | ||||
\(304\) | 6.46414 | 0.370744 | ||||||||
\(305\) | 15.3731 | − | 1.62219i | 0.880259 | − | 0.0928865i | ||||
\(306\) | 0.910620 | − | 2.80260i | 0.0520567 | − | 0.160214i | ||||
\(307\) | −1.01439 | + | 1.39618i | −0.0578942 | + | 0.0796845i | −0.836982 | − | 0.547230i | \(-0.815682\pi\) |
0.779088 | + | 0.626914i | \(0.215682\pi\) | |||||||
\(308\) | 9.24288 | + | 12.7217i | 0.526662 | + | 0.724888i | ||||
\(309\) | −1.35144 | −0.0768805 | ||||||||
\(310\) | 11.3449 | − | 5.12763i | 0.644349 | − | 0.291230i | ||||
\(311\) | −20.4188 | −1.15784 | −0.578922 | − | 0.815383i | \(-0.696526\pi\) | ||||
−0.578922 | + | 0.815383i | \(0.696526\pi\) | |||||||
\(312\) | 3.11475 | + | 4.28708i | 0.176338 | + | 0.242708i | ||||
\(313\) | −12.4946 | + | 17.1974i | −0.706238 | + | 0.972053i | 0.293632 | + | 0.955919i | \(0.405136\pi\) |
−0.999870 | + | 0.0161344i | \(0.994864\pi\) | |||||||
\(314\) | −1.27938 | + | 3.93754i | −0.0721998 | + | 0.222208i | ||||
\(315\) | 0.402126 | + | 3.81084i | 0.0226573 | + | 0.214717i | ||||
\(316\) | 10.5779 | 0.595055 | ||||||||
\(317\) | −21.0684 | − | 6.84555i | −1.18332 | − | 0.384484i | −0.349722 | − | 0.936854i | \(-0.613724\pi\) |
−0.833599 | + | 0.552369i | \(0.813724\pi\) | |||||||
\(318\) | 0.0192091 | − | 0.00624142i | 0.00107719 | − | 0.000350001i | ||||
\(319\) | −3.37733 | − | 10.3943i | −0.189094 | − | 0.581971i | ||||
\(320\) | 1.66110 | − | 1.49691i | 0.0928586 | − | 0.0836797i | ||||
\(321\) | 7.13706 | − | 21.9656i | 0.398352 | − | 1.22600i | ||||
\(322\) | 11.0959 | + | 15.2723i | 0.618353 | + | 0.851090i | ||||
\(323\) | 19.2088 | − | 26.4386i | 1.06881 | − | 1.47109i | ||||
\(324\) | 2.13580 | + | 6.57331i | 0.118655 | + | 0.365184i | ||||
\(325\) | −6.91883 | + | 15.5745i | −0.383788 | + | 0.863921i | ||||
\(326\) | −10.6508 | − | 7.73825i | −0.589892 | − | 0.428582i | ||||
\(327\) | −9.08904 | + | 2.95321i | −0.502625 | + | 0.163313i | ||||
\(328\) | 4.35130 | − | 5.98905i | 0.240260 | − | 0.330690i | ||||
\(329\) | 30.1936 | − | 21.9369i | 1.66463 | − | 1.20942i | ||||
\(330\) | −3.85834 | + | 18.1890i | −0.212394 | + | 1.00127i | ||||
\(331\) | 9.31710 | − | 6.76927i | 0.512114 | − | 0.372073i | −0.301511 | − | 0.953463i | \(-0.597491\pi\) |
0.813625 | + | 0.581390i | \(0.197491\pi\) | |||||||
\(332\) | 8.50435 | − | 2.76323i | 0.466737 | − | 0.151652i | ||||
\(333\) | 0.196899 | − | 0.0639765i | 0.0107900 | − | 0.00350589i | ||||
\(334\) | −6.93573 | + | 21.3460i | −0.379506 | + | 1.16800i | ||||
\(335\) | −2.07300 | − | 19.6452i | −0.113260 | − | 1.07333i | ||||
\(336\) | 4.57093 | 0.249365 | ||||||||
\(337\) | 14.8607 | + | 4.82852i | 0.809511 | + | 0.263026i | 0.684391 | − | 0.729115i | \(-0.260068\pi\) |
0.125121 | + | 0.992142i | \(0.460068\pi\) | |||||||
\(338\) | −0.812630 | + | 1.11849i | −0.0442012 | + | 0.0608378i | ||||
\(339\) | −21.1153 | + | 15.3411i | −1.14682 | + | 0.833217i | ||||
\(340\) | −1.18630 | − | 11.2422i | −0.0643359 | − | 0.609694i | ||||
\(341\) | −24.1826 | − | 17.3782i | −1.30956 | − | 0.941081i | ||||
\(342\) | − | 3.76786i | − | 0.203743i | ||||||
\(343\) | −9.25591 | − | 12.7397i | −0.499772 | − | 0.687877i | ||||
\(344\) | 2.98479 | + | 2.16858i | 0.160929 | + | 0.116922i | ||||
\(345\) | −4.63188 | + | 21.8356i | −0.249372 | + | 1.17559i | ||||
\(346\) | 11.3375 | 0.609508 | ||||||||
\(347\) | 18.9925i | 1.01957i | 0.860301 | + | 0.509786i | \(0.170276\pi\) | ||||
−0.860301 | + | 0.509786i | \(0.829724\pi\) | |||||||
\(348\) | −3.02143 | − | 0.981724i | −0.161966 | − | 0.0526259i | ||||
\(349\) | −3.15305 | − | 9.70410i | −0.168779 | − | 0.519449i | 0.830516 | − | 0.556995i | \(-0.188046\pi\) |
−0.999295 | + | 0.0375465i | \(0.988046\pi\) | |||||||
\(350\) | 7.36066 | + | 12.7248i | 0.393444 | + | 0.680167i | ||||
\(351\) | 15.3601 | − | 11.1598i | 0.819863 | − | 0.595666i | ||||
\(352\) | −5.08673 | − | 1.65278i | −0.271124 | − | 0.0880934i | ||||
\(353\) | 0.581176 | + | 0.799921i | 0.0309329 | + | 0.0425755i | 0.824203 | − | 0.566294i | \(-0.191623\pi\) |
−0.793270 | + | 0.608869i | \(0.791623\pi\) | |||||||
\(354\) | −11.7991 | − | 8.57255i | −0.627115 | − | 0.455626i | ||||
\(355\) | 9.12336 | + | 20.4687i | 0.484218 | + | 1.08636i | ||||
\(356\) | −7.45252 | − | 5.41457i | −0.394983 | − | 0.286972i | ||||
\(357\) | 13.5830 | − | 18.6953i | 0.718886 | − | 0.989462i | ||||
\(358\) | 8.61700 | − | 2.79983i | 0.455422 | − | 0.147976i | ||||
\(359\) | 2.68385 | + | 1.94993i | 0.141648 | + | 0.102913i | 0.656353 | − | 0.754454i | \(-0.272098\pi\) |
−0.514704 | + | 0.857368i | \(0.672098\pi\) | |||||||
\(360\) | −0.872527 | − | 0.968235i | −0.0459862 | − | 0.0510305i | ||||
\(361\) | 7.04098 | − | 21.6699i | 0.370578 | − | 1.14052i | ||||
\(362\) | −6.09289 | − | 8.38614i | −0.320235 | − | 0.440766i | ||||
\(363\) | 26.0332 | − | 8.45869i | 1.36639 | − | 0.443966i | ||||
\(364\) | −3.09667 | − | 9.53056i | −0.162309 | − | 0.499537i | ||||
\(365\) | −7.41004 | − | 1.57186i | −0.387859 | − | 0.0822747i | ||||
\(366\) | −10.7480 | −0.561808 | ||||||||
\(367\) | 6.80095i | 0.355006i | 0.984120 | + | 0.177503i | \(0.0568020\pi\) | ||||
−0.984120 | + | 0.177503i | \(0.943198\pi\) | |||||||
\(368\) | −6.10655 | − | 1.98414i | −0.318326 | − | 0.103430i | ||||
\(369\) | −3.49093 | − | 2.53631i | −0.181731 | − | 0.132035i | ||||
\(370\) | 0.589999 | − | 0.531678i | 0.0306726 | − | 0.0276406i | ||||
\(371\) | −0.0381952 | −0.00198300 | ||||||||
\(372\) | −8.21854 | + | 2.71773i | −0.426112 | + | 0.140908i | ||||
\(373\) | 3.31546i | 0.171668i | 0.996309 | + | 0.0858339i | \(0.0273554\pi\) | ||||
−0.996309 | + | 0.0858339i | \(0.972645\pi\) | |||||||
\(374\) | −21.8756 | + | 15.8936i | −1.13116 | + | 0.821837i | ||||
\(375\) | −5.35090 | + | 16.5380i | −0.276319 | + | 0.854021i | ||||
\(376\) | −3.92268 | + | 12.0728i | −0.202297 | + | 0.622606i | ||||
\(377\) | 6.96489i | 0.358710i | ||||||||
\(378\) | − | 16.3771i | − | 0.842349i | ||||||
\(379\) | −1.51574 | + | 4.66497i | −0.0778583 | + | 0.239623i | −0.982409 | − | 0.186743i | \(-0.940207\pi\) |
0.904550 | + | 0.426367i | \(0.140207\pi\) | |||||||
\(380\) | −5.88453 | − | 13.2022i | −0.301870 | − | 0.677258i | ||||
\(381\) | −3.91111 | − | 12.0371i | −0.200372 | − | 0.616682i | ||||
\(382\) | 10.8927 | + | 14.9926i | 0.557321 | + | 0.767086i | ||||
\(383\) | −33.8784 | − | 11.0078i | −1.73111 | − | 0.562470i | −0.737497 | − | 0.675351i | \(-0.763992\pi\) |
−0.993609 | + | 0.112880i | \(0.963992\pi\) | |||||||
\(384\) | −1.25778 | + | 0.913834i | −0.0641860 | + | 0.0466339i | ||||
\(385\) | 17.5684 | − | 30.4584i | 0.895370 | − | 1.55231i | ||||
\(386\) | −1.83252 | − | 5.63993i | −0.0932731 | − | 0.287065i | ||||
\(387\) | 1.26403 | − | 1.73979i | 0.0642545 | − | 0.0884387i | ||||
\(388\) | 1.38817 | − | 1.91065i | 0.0704735 | − | 0.0969985i | ||||
\(389\) | 2.60954 | + | 8.03133i | 0.132309 | + | 0.407204i | 0.995162 | − | 0.0982506i | \(-0.0313247\pi\) |
−0.862853 | + | 0.505455i | \(0.831325\pi\) | |||||||
\(390\) | 5.92037 | − | 10.2642i | 0.299789 | − | 0.519746i | ||||
\(391\) | −26.2614 | + | 19.0800i | −1.32810 | + | 0.964918i | ||||
\(392\) | −1.56350 | − | 0.508011i | −0.0789686 | − | 0.0256584i | ||||
\(393\) | −2.03674 | − | 2.80333i | −0.102740 | − | 0.141409i | ||||
\(394\) | 0.0421496 | + | 0.129723i | 0.00212346 | + | 0.00653535i | ||||
\(395\) | −9.62945 | − | 21.6041i | −0.484510 | − | 1.08702i | ||||
\(396\) | −0.963382 | + | 2.96498i | −0.0484118 | + | 0.148996i | ||||
\(397\) | 24.8554i | 1.24746i | 0.781641 | + | 0.623728i | \(0.214383\pi\) | ||||
−0.781641 | + | 0.623728i | \(0.785617\pi\) | |||||||
\(398\) | − | 2.96625i | − | 0.148685i | ||||||
\(399\) | 9.13057 | − | 28.1010i | 0.457100 | − | 1.40681i | ||||
\(400\) | −4.56941 | − | 2.02991i | −0.228470 | − | 0.101496i | ||||
\(401\) | −16.7097 | + | 12.1403i | −0.834443 | + | 0.606258i | −0.920813 | − | 0.390005i | \(-0.872473\pi\) |
0.0863698 | + | 0.996263i | \(0.472473\pi\) | |||||||
\(402\) | 13.7349i | 0.685034i | ||||||||
\(403\) | 11.2344 | + | 15.2948i | 0.559624 | + | 0.761887i | ||||
\(404\) | 9.18336 | 0.456889 | ||||||||
\(405\) | 11.4809 | − | 10.3460i | 0.570489 | − | 0.514097i | ||||
\(406\) | 4.86040 | + | 3.53129i | 0.241218 | + | 0.175255i | ||||
\(407\) | −1.80673 | − | 0.587041i | −0.0895561 | − | 0.0290985i | ||||
\(408\) | 7.85994i | 0.389125i | ||||||||
\(409\) | 26.0254 | 1.28687 | 0.643436 | − | 0.765500i | \(-0.277508\pi\) | ||||
0.643436 | + | 0.765500i | \(0.277508\pi\) | |||||||
\(410\) | −16.1930 | − | 3.43494i | −0.799716 | − | 0.169640i | ||||
\(411\) | 7.82738 | + | 24.0902i | 0.386096 | + | 1.18828i | ||||
\(412\) | −0.826711 | + | 0.268615i | −0.0407291 | + | 0.0132337i | ||||
\(413\) | 16.2113 | + | 22.3129i | 0.797706 | + | 1.09795i | ||||
\(414\) | −1.15653 | + | 3.55942i | −0.0568402 | + | 0.174936i | ||||
\(415\) | −13.3854 | − | 14.8536i | −0.657061 | − | 0.729135i | ||||
\(416\) | 2.75749 | + | 2.00343i | 0.135197 | + | 0.0982263i | ||||
\(417\) | 19.5869 | − | 6.36417i | 0.959175 | − | 0.311655i | ||||
\(418\) | −20.3218 | + | 27.9705i | −0.993970 | + | 1.36808i | ||||
\(419\) | 27.6167 | + | 20.0647i | 1.34917 | + | 0.980227i | 0.999053 | + | 0.0435193i | \(0.0138570\pi\) |
0.350114 | + | 0.936707i | \(0.386143\pi\) | |||||||
\(420\) | −4.16108 | − | 9.33556i | −0.203040 | − | 0.455528i | ||||
\(421\) | −15.6793 | − | 11.3917i | −0.764161 | − | 0.555196i | 0.136023 | − | 0.990706i | \(-0.456568\pi\) |
−0.900184 | + | 0.435510i | \(0.856568\pi\) | |||||||
\(422\) | −5.34514 | − | 7.35695i | −0.260197 | − | 0.358131i | ||||
\(423\) | 7.03706 | + | 2.28648i | 0.342153 | + | 0.111172i | ||||
\(424\) | 0.0105102 | − | 0.00763609i | 0.000510419 | − | 0.000370841i | ||||
\(425\) | −21.8808 | + | 12.6570i | −1.06138 | + | 0.613955i | ||||
\(426\) | −4.81487 | − | 14.8187i | −0.233281 | − | 0.717966i | ||||
\(427\) | 19.3305 | + | 6.28086i | 0.935468 | + | 0.303952i | ||||
\(428\) | − | 14.8555i | − | 0.718069i | ||||||
\(429\) | −28.3424 | −1.36838 | ||||||||
\(430\) | 1.71189 | − | 8.07019i | 0.0825546 | − | 0.389179i | ||||
\(431\) | 19.7299 | + | 14.3346i | 0.950356 | + | 0.690474i | 0.950891 | − | 0.309526i | \(-0.100170\pi\) |
−0.000534778 | 1.00000i | \(0.500170\pi\) | ||||||||
\(432\) | 3.27416 | + | 4.50650i | 0.157528 | + | 0.216819i | ||||
\(433\) | 25.3442i | 1.21797i | 0.793183 | + | 0.608983i | \(0.208422\pi\) | ||||
−0.793183 | + | 0.608983i | \(0.791578\pi\) | |||||||
\(434\) | 16.3693 | − | 0.0851808i | 0.785754 | − | 0.00408881i | ||||
\(435\) | 0.745468 | + | 7.06460i | 0.0357425 | + | 0.338721i | ||||
\(436\) | −4.97303 | + | 3.61312i | −0.238165 | + | 0.173037i | ||||
\(437\) | −24.3960 | + | 33.5782i | −1.16702 | + | 1.60626i | ||||
\(438\) | 5.00897 | + | 1.62751i | 0.239338 | + | 0.0777655i | ||||
\(439\) | 4.40648 | 0.210310 | 0.105155 | − | 0.994456i | \(-0.466466\pi\) | ||||
0.105155 | + | 0.994456i | \(0.466466\pi\) | |||||||
\(440\) | 1.25503 | + | 11.8936i | 0.0598313 | + | 0.567004i | ||||
\(441\) | −0.296113 | + | 0.911342i | −0.0141006 | + | 0.0433972i | ||||
\(442\) | 16.3883 | − | 5.32487i | 0.779510 | − | 0.253278i | ||||
\(443\) | 19.0058 | − | 6.17535i | 0.902991 | − | 0.293400i | 0.179520 | − | 0.983754i | \(-0.442546\pi\) |
0.723471 | + | 0.690355i | \(0.242546\pi\) | |||||||
\(444\) | −0.446745 | + | 0.324580i | −0.0212016 | + | 0.0154039i | ||||
\(445\) | −4.27430 | + | 20.1499i | −0.202621 | + | 0.955197i | ||||
\(446\) | −3.90915 | + | 2.84016i | −0.185104 | + | 0.134486i | ||||
\(447\) | 19.2929 | − | 26.5544i | 0.912524 | − | 1.25598i | ||||
\(448\) | 2.79616 | − | 0.908529i | 0.132106 | − | 0.0429240i | ||||
\(449\) | −13.7206 | − | 9.96857i | −0.647513 | − | 0.470446i | 0.214910 | − | 0.976634i | \(-0.431054\pi\) |
−0.862423 | + | 0.506188i | \(0.831054\pi\) | |||||||
\(450\) | −1.18321 | + | 2.66344i | −0.0557769 | + | 0.125556i | ||||
\(451\) | 12.2353 | + | 37.6564i | 0.576138 | + | 1.77317i | ||||
\(452\) | −9.86755 | + | 13.5815i | −0.464131 | + | 0.638821i | ||||
\(453\) | −7.06807 | − | 9.72836i | −0.332087 | − | 0.457078i | ||||
\(454\) | −0.686943 | + | 2.11419i | −0.0322398 | + | 0.0992240i | ||||
\(455\) | −16.6460 | + | 15.0005i | −0.780375 | + | 0.703237i | ||||
\(456\) | 3.10557 | + | 9.55797i | 0.145432 | + | 0.447593i | ||||
\(457\) | −8.60981 | + | 2.79750i | −0.402750 | + | 0.130861i | −0.503385 | − | 0.864062i | \(-0.667912\pi\) |
0.100636 | + | 0.994923i | \(0.467912\pi\) | |||||||
\(458\) | −19.3721 | − | 6.29438i | −0.905199 | − | 0.294117i | ||||
\(459\) | 28.1613 | 1.31446 | ||||||||
\(460\) | 1.50665 | + | 14.2781i | 0.0702478 | + | 0.665719i | ||||
\(461\) | −7.64604 | + | 23.5321i | −0.356112 | + | 1.09600i | 0.599250 | + | 0.800562i | \(0.295465\pi\) |
−0.955362 | + | 0.295438i | \(0.904535\pi\) | |||||||
\(462\) | −14.3700 | + | 19.7786i | −0.668551 | + | 0.920182i | ||||
\(463\) | 12.0003 | + | 16.5170i | 0.557700 | + | 0.767608i | 0.991032 | − | 0.133626i | \(-0.0426622\pi\) |
−0.433332 | + | 0.901234i | \(0.642662\pi\) | |||||||
\(464\) | −2.04342 | −0.0948635 | ||||||||
\(465\) | 13.0322 | + | 14.3113i | 0.604356 | + | 0.663671i | ||||
\(466\) | −12.6760 | −0.587202 | ||||||||
\(467\) | 13.4114 | + | 18.4592i | 0.620606 | + | 0.854191i | 0.997397 | − | 0.0721073i | \(-0.0229724\pi\) |
−0.376791 | + | 0.926298i | \(0.622972\pi\) | |||||||
\(468\) | 1.16777 | − | 1.60730i | 0.0539803 | − | 0.0742976i | ||||
\(469\) | 8.02630 | − | 24.7024i | 0.370620 | − | 1.14065i | ||||
\(470\) | 28.2281 | − | 2.97867i | 1.30206 | − | 0.137396i | ||||
\(471\) | −6.43676 | −0.296590 | ||||||||
\(472\) | −8.92173 | − | 2.89884i | −0.410656 | − | 0.133430i | ||||
\(473\) | −18.7670 | + | 6.09777i | −0.862907 | + | 0.280376i | ||||
\(474\) | 5.08197 | + | 15.6407i | 0.233422 | + | 0.718400i | ||||
\(475\) | −21.6069 | + | 24.0368i | −0.991394 | + | 1.10288i | ||||
\(476\) | 4.59314 | − | 14.1362i | 0.210526 | − | 0.647933i | ||||
\(477\) | −0.00445098 | − | 0.00612624i | −0.000203796 | − | 0.000280501i | ||||
\(478\) | 0.190200 | − | 0.261787i | 0.00869953 | − | 0.0119739i | ||||
\(479\) | −6.09166 | − | 18.7482i | −0.278335 | − | 0.856628i | −0.988318 | − | 0.152408i | \(-0.951297\pi\) |
0.709982 | − | 0.704219i | \(-0.248703\pi\) | |||||||
\(480\) | 3.01139 | + | 1.73697i | 0.137451 | + | 0.0792816i | ||||
\(481\) | 0.979417 | + | 0.711588i | 0.0446575 | + | 0.0324456i | ||||
\(482\) | 1.69929 | − | 0.552133i | 0.0774005 | − | 0.0251490i | ||||
\(483\) | −17.2509 | + | 23.7439i | −0.784945 | + | 1.08038i | ||||
\(484\) | 14.2439 | − | 10.3488i | 0.647452 | − | 0.470401i | ||||
\(485\) | −5.16596 | − | 1.09583i | −0.234574 | − | 0.0497590i | ||||
\(486\) | 4.82621 | − | 3.50645i | 0.218921 | − | 0.159056i | ||||
\(487\) | −10.1598 | + | 3.30113i | −0.460387 | + | 0.149589i | −0.530022 | − | 0.847984i | \(-0.677816\pi\) |
0.0696355 | + | 0.997572i | \(0.477816\pi\) | |||||||
\(488\) | −6.57486 | + | 2.13630i | −0.297630 | + | 0.0967058i | ||||
\(489\) | 6.32492 | − | 19.4661i | 0.286023 | − | 0.880287i | ||||
\(490\) | 0.385757 | + | 3.65571i | 0.0174267 | + | 0.165148i | ||||
\(491\) | 1.00598 | 0.0453993 | 0.0226997 | − | 0.999742i | \(-0.492774\pi\) | ||||
0.0226997 | + | 0.999742i | \(0.492774\pi\) | |||||||
\(492\) | 10.9460 | + | 3.55657i | 0.493483 | + | 0.160342i | ||||
\(493\) | −6.07222 | + | 8.35770i | −0.273479 | + | 0.376412i | ||||
\(494\) | 17.8248 | − | 12.9505i | 0.801975 | − | 0.582669i | ||||
\(495\) | 6.93261 | − | 0.731541i | 0.311598 | − | 0.0328803i | ||||
\(496\) | −4.48733 | + | 3.29604i | −0.201487 | + | 0.147997i | ||||
\(497\) | 29.4653i | 1.32170i | ||||||||
\(498\) | 8.17150 | + | 11.2471i | 0.366174 | + | 0.503995i | ||||
\(499\) | 3.64812 | + | 2.65052i | 0.163312 | + | 0.118653i | 0.666440 | − | 0.745559i | \(-0.267817\pi\) |
−0.503127 | + | 0.864212i | \(0.667817\pi\) | |||||||
\(500\) | 0.0138486 | + | 11.1803i | 0.000619329 | + | 0.500000i | ||||
\(501\) | −34.8946 | −1.55898 | ||||||||
\(502\) | 3.11601i | 0.139075i | ||||||||
\(503\) | 10.2019 | + | 3.31480i | 0.454880 | + | 0.147800i | 0.527491 | − | 0.849561i | \(-0.323133\pi\) |
−0.0726103 | + | 0.997360i | \(0.523133\pi\) | |||||||
\(504\) | −0.529569 | − | 1.62985i | −0.0235889 | − | 0.0725991i | ||||
\(505\) | −8.35992 | − | 18.7558i | −0.372012 | − | 0.834624i | ||||
\(506\) | 27.7830 | − | 20.1855i | 1.23511 | − | 0.897356i | ||||
\(507\) | −2.04423 | − | 0.664209i | −0.0907873 | − | 0.0294986i | ||||
\(508\) | −4.78506 | − | 6.58607i | −0.212303 | − | 0.292210i | ||||
\(509\) | −14.2288 | − | 10.3378i | −0.630679 | − | 0.458215i | 0.225957 | − | 0.974137i | \(-0.427449\pi\) |
−0.856635 | + | 0.515923i | \(0.827449\pi\) | |||||||
\(510\) | 16.0529 | − | 7.15517i | 0.710836 | − | 0.316836i | ||||
\(511\) | −8.05763 | − | 5.85421i | −0.356448 | − | 0.258975i | ||||
\(512\) | −0.587785 | + | 0.809017i | −0.0259767 | + | 0.0357538i | ||||
\(513\) | 34.2451 | − | 11.1269i | 1.51196 | − | 0.491265i | ||||
\(514\) | 1.26495 | + | 0.919037i | 0.0557944 | + | 0.0405370i | ||||
\(515\) | 1.30119 | + | 1.44392i | 0.0573375 | + | 0.0636269i | ||||
\(516\) | −1.77250 | + | 5.45521i | −0.0780301 | + | 0.240152i | ||||
\(517\) | −39.9072 | − | 54.9276i | −1.75512 | − | 2.41571i | ||||
\(518\) | 0.993154 | − | 0.322695i | 0.0436367 | − | 0.0141784i | ||||
\(519\) | 5.44689 | + | 16.7638i | 0.239092 | + | 0.735849i | ||||
\(520\) | 1.58152 | − | 7.45561i | 0.0693543 | − | 0.326950i | ||||
\(521\) | 40.3070 | 1.76588 | 0.882941 | − | 0.469484i | \(-0.155560\pi\) | ||||
0.882941 | + | 0.469484i | \(0.155560\pi\) | |||||||
\(522\) | 1.19108i | 0.0521323i | ||||||||
\(523\) | −27.2127 | − | 8.84195i | −1.18993 | − | 0.386632i | −0.353883 | − | 0.935290i | \(-0.615139\pi\) |
−0.836047 | + | 0.548658i | \(0.815139\pi\) | |||||||
\(524\) | −1.80313 | − | 1.31005i | −0.0787700 | − | 0.0572297i | ||||
\(525\) | −15.2787 | + | 16.9969i | −0.666818 | + | 0.741808i | ||||
\(526\) | −2.54150 | −0.110815 | ||||||||
\(527\) | 0.146472 | + | 28.1479i | 0.00638044 | + | 1.22614i | ||||
\(528\) | − | 8.31535i | − | 0.361879i | ||||||
\(529\) | 14.7457 | − | 10.7134i | 0.641118 | − | 0.465800i | ||||
\(530\) | −0.0251635 | − | 0.0145143i | −0.00109303 | − | 0.000630462i | ||||
\(531\) | −1.68970 | + | 5.20035i | −0.0733266 | + | 0.225676i | ||||
\(532\) | − | 19.0050i | − | 0.823970i | ||||||
\(533\) | − | 25.2322i | − | 1.09293i | ||||||
\(534\) | 4.42564 | − | 13.6207i | 0.191516 | − | 0.589427i | ||||
\(535\) | −30.3406 | + | 13.5235i | −1.31174 | + | 0.584672i | ||||
\(536\) | 2.72998 | + | 8.40200i | 0.117917 | + | 0.362911i | ||||
\(537\) | 8.27974 | + | 11.3961i | 0.357297 | + | 0.491778i | ||||
\(538\) | −5.59414 | − | 1.81765i | −0.241180 | − | 0.0783643i | ||||
\(539\) | 7.11346 | − | 5.16823i | 0.306398 | − | 0.222611i | ||||
\(540\) | 6.22337 | − | 10.7895i | 0.267811 | − | 0.464305i | ||||
\(541\) | −10.4608 | − | 32.1951i | −0.449745 | − | 1.38417i | −0.877195 | − | 0.480134i | \(-0.840588\pi\) |
0.427450 | − | 0.904039i | \(-0.359412\pi\) | |||||||
\(542\) | 4.10495 | − | 5.64998i | 0.176323 | − | 0.242687i | ||||
\(543\) | 9.47265 | − | 13.0380i | 0.406510 | − | 0.559514i | ||||
\(544\) | 1.56226 | + | 4.80814i | 0.0669813 | + | 0.206147i | ||||
\(545\) | 11.9065 | + | 6.86764i | 0.510017 | + | 0.294177i | ||||
\(546\) | 12.6043 | − | 9.15755i | 0.539414 | − | 0.391907i | ||||
\(547\) | 0.0250160 | + | 0.00812819i | 0.00106961 | + | 0.000347536i | 0.309552 | − | 0.950883i | \(-0.399821\pi\) |
−0.308482 | + | 0.951230i | \(0.599821\pi\) | |||||||
\(548\) | 9.57644 | + | 13.1808i | 0.409085 | + | 0.563058i | ||||
\(549\) | 1.24522 | + | 3.83240i | 0.0531447 | + | 0.163563i | ||||
\(550\) | 23.1486 | − | 13.3904i | 0.987062 | − | 0.570968i | ||||
\(551\) | −4.08180 | + | 12.5625i | −0.173890 | + | 0.535180i | ||||
\(552\) | − | 9.98247i | − | 0.424882i | ||||||
\(553\) | − | 31.0998i | − | 1.32250i | ||||||
\(554\) | −8.54938 | + | 26.3123i | −0.363228 | + | 1.11790i | ||||
\(555\) | 1.06960 | + | 0.616945i | 0.0454020 | + | 0.0261879i | ||||
\(556\) | 10.7169 | − | 7.78627i | 0.454497 | − | 0.330211i | ||||
\(557\) | − | 41.4365i | − | 1.75572i | −0.478915 | − | 0.877861i | \(-0.658970\pi\) | ||
0.478915 | − | 0.877861i | \(-0.341030\pi\) | |||||||
\(558\) | 1.92122 | + | 2.61560i | 0.0813317 | + | 0.110727i | ||||
\(559\) | 12.5751 | 0.531871 | ||||||||
\(560\) | −4.40100 | − | 4.88375i | −0.185976 | − | 0.206376i | ||||
\(561\) | −34.0102 | − | 24.7098i | −1.43591 | − | 1.04325i | ||||
\(562\) | 8.73000 | + | 2.83655i | 0.368253 | + | 0.119653i | ||||
\(563\) | 24.6828i | 1.04026i | 0.854088 | + | 0.520129i | \(0.174116\pi\) | ||||
−0.854088 | + | 0.520129i | \(0.825884\pi\) | |||||||
\(564\) | −19.7356 | −0.831017 | ||||||||
\(565\) | 36.7213 | + | 7.78951i | 1.54488 | + | 0.327707i | ||||
\(566\) | −3.83837 | − | 11.8133i | −0.161339 | − | 0.496549i | ||||
\(567\) | 19.3259 | − | 6.27937i | 0.811613 | − | 0.263709i | ||||
\(568\) | −5.89078 | − | 8.10796i | −0.247172 | − | 0.340203i | ||||
\(569\) | −9.51559 | + | 29.2860i | −0.398914 | + | 1.22773i | 0.526956 | + | 0.849892i | \(0.323333\pi\) |
−0.925871 | + | 0.377840i | \(0.876667\pi\) | |||||||
\(570\) | 16.6938 | − | 15.0437i | 0.699228 | − | 0.630111i | ||||
\(571\) | 15.7852 | + | 11.4686i | 0.660591 | + | 0.479948i | 0.866863 | − | 0.498547i | \(-0.166133\pi\) |
−0.206271 | + | 0.978495i | \(0.566133\pi\) | |||||||
\(572\) | −17.3378 | + | 5.63340i | −0.724930 | + | 0.235544i | ||||
\(573\) | −16.9350 | + | 23.3090i | −0.707470 | + | 0.973749i | ||||
\(574\) | −17.6082 | − | 12.7931i | −0.734951 | − | 0.533973i | ||||
\(575\) | 27.7896 | − | 16.0750i | 1.15891 | − | 0.670372i | ||||
\(576\) | 0.471565 | + | 0.342612i | 0.0196485 | + | 0.0142755i | ||||
\(577\) | 5.13946 | + | 7.07386i | 0.213959 | + | 0.294489i | 0.902484 | − | 0.430724i | \(-0.141742\pi\) |
−0.688525 | + | 0.725212i | \(0.741742\pi\) | |||||||
\(578\) | 8.13996 | + | 2.64483i | 0.338578 | + | 0.110010i | ||||
\(579\) | 7.45888 | − | 5.41919i | 0.309981 | − | 0.225214i | ||||
\(580\) | 1.86020 | + | 4.17343i | 0.0772405 | + | 0.173292i | ||||
\(581\) | −8.12407 | − | 25.0033i | −0.337043 | − | 1.03731i | ||||
\(582\) | 3.49203 | + | 1.13463i | 0.144749 | + | 0.0470319i | ||||
\(583\) | 0.0694840i | 0.00287773i | ||||||||
\(584\) | 3.38761 | 0.140180 | ||||||||
\(585\) | −4.34578 | − | 0.921848i | −0.179676 | − | 0.0381137i | ||||
\(586\) | 11.4934 | + | 8.35044i | 0.474788 | + | 0.344954i | ||||
\(587\) | −20.2708 | − | 27.9003i | −0.836665 | − | 1.15157i | −0.986646 | − | 0.162881i | \(-0.947921\pi\) |
0.149981 | − | 0.988689i | \(-0.452079\pi\) | |||||||
\(588\) | − | 2.55587i | − | 0.105402i | ||||||
\(589\) | 11.2997 | + | 34.1710i | 0.465597 | + | 1.40799i | ||||
\(590\) | 2.20123 | + | 20.8604i | 0.0906231 | + | 0.858810i | ||||
\(591\) | −0.171560 | + | 0.124646i | −0.00705705 | + | 0.00512725i | ||||
\(592\) | −0.208772 | + | 0.287350i | −0.00858048 | + | 0.0118100i | ||||
\(593\) | −10.9460 | − | 3.55656i | −0.449496 | − | 0.146050i | 0.0755164 | − | 0.997145i | \(-0.475939\pi\) |
−0.525013 | + | 0.851094i | \(0.675939\pi\) | |||||||
\(594\) | −29.7930 | −1.22242 | ||||||||
\(595\) | −33.0527 | + | 3.48778i | −1.35503 | + | 0.142985i | ||||
\(596\) | 6.52399 | − | 20.0788i | 0.267233 | − | 0.822458i | ||||
\(597\) | 4.38594 | − | 1.42508i | 0.179505 | − | 0.0583246i | ||||
\(598\) | −20.8138 | + | 6.76282i | −0.851140 | + | 0.276552i | ||||
\(599\) | −21.0528 | + | 15.2957i | −0.860193 | + | 0.624967i | −0.927937 | − | 0.372736i | \(-0.878420\pi\) |
0.0677445 | + | 0.997703i | \(0.478420\pi\) | |||||||
\(600\) | 0.806171 | − | 7.73162i | 0.0329118 | − | 0.315642i | ||||
\(601\) | 18.5663 | − | 13.4892i | 0.757334 | − | 0.550236i | −0.140757 | − | 0.990044i | \(-0.544954\pi\) |
0.898092 | + | 0.439809i | \(0.144954\pi\) | |||||||
\(602\) | 6.37575 | − | 8.77547i | 0.259856 | − | 0.357661i | ||||
\(603\) | 4.89741 | − | 1.59127i | 0.199438 | − | 0.0648014i | ||||
\(604\) | −6.25736 | − | 4.54624i | −0.254608 | − | 0.184984i | ||||
\(605\) | −34.1029 | − | 19.6706i | −1.38648 | − | 0.799722i | ||||
\(606\) | 4.41197 | + | 13.5786i | 0.179224 | + | 0.551595i | ||||
\(607\) | 20.5205 | − | 28.2441i | 0.832902 | − | 1.14639i | −0.154474 | − | 0.987997i | \(-0.549368\pi\) |
0.987376 | − | 0.158394i | \(-0.0506316\pi\) | |||||||
\(608\) | 3.79953 | + | 5.22960i | 0.154091 | + | 0.212088i | ||||
\(609\) | −2.88633 | + | 8.88320i | −0.116960 | + | 0.359966i | ||||
\(610\) | 10.3484 | + | 11.4836i | 0.418996 | + | 0.464956i | ||||
\(611\) | 13.3702 | + | 41.1493i | 0.540902 | + | 1.66472i | ||||
\(612\) | 2.80260 | − | 0.910620i | 0.113288 | − | 0.0368096i | ||||
\(613\) | 14.6373 | + | 4.75595i | 0.591195 | + | 0.192091i | 0.589310 | − | 0.807907i | \(-0.299400\pi\) |
0.00188568 | + | 0.999998i | \(0.499400\pi\) | |||||||
\(614\) | −1.72578 | −0.0696468 | ||||||||
\(615\) | −2.70067 | − | 25.5935i | −0.108901 | − | 1.03203i | ||||
\(616\) | −4.85927 | + | 14.9553i | −0.195786 | + | 0.602566i | ||||
\(617\) | −3.45076 | + | 4.74957i | −0.138922 | + | 0.191210i | −0.872809 | − | 0.488061i | \(-0.837704\pi\) |
0.733887 | + | 0.679272i | \(0.237704\pi\) | |||||||
\(618\) | −0.794355 | − | 1.09334i | −0.0319536 | − | 0.0439804i | ||||
\(619\) | −32.8884 | −1.32190 | −0.660949 | − | 0.750431i | \(-0.729846\pi\) | ||||
−0.660949 | + | 0.750431i | \(0.729846\pi\) | |||||||
\(620\) | 10.8167 | + | 6.16430i | 0.434410 | + | 0.247564i | ||||
\(621\) | −35.7660 | −1.43524 | ||||||||
\(622\) | −12.0019 | − | 16.5191i | −0.481231 | − | 0.662357i | ||||
\(623\) | −15.9192 | + | 21.9109i | −0.637788 | + | 0.877840i | ||||
\(624\) | −1.63752 | + | 5.03977i | −0.0655533 | + | 0.201752i | ||||
\(625\) | 22.8218 | − | 10.2061i | 0.912872 | − | 0.408245i | ||||
\(626\) | −21.2571 | −0.849605 | ||||||||
\(627\) | −51.1208 | − | 16.6102i | −2.04157 | − | 0.663346i | ||||
\(628\) | −3.93754 | + | 1.27938i | −0.157125 | + | 0.0510530i | ||||
\(629\) | 0.554890 | + | 1.70778i | 0.0221249 | + | 0.0680935i | ||||
\(630\) | −2.84667 | + | 2.56528i | −0.113414 | + | 0.102203i | ||||
\(631\) | −9.83548 | + | 30.2705i | −0.391544 | + | 1.20505i | 0.540076 | + | 0.841616i | \(0.318395\pi\) |
−0.931620 | + | 0.363433i | \(0.881605\pi\) | |||||||
\(632\) | 6.21755 | + | 8.55773i | 0.247321 | + | 0.340408i | ||||
\(633\) | 8.31012 | − | 11.4379i | 0.330298 | − | 0.454616i | ||||
\(634\) | −6.84555 | − | 21.0684i | −0.271871 | − | 0.836734i | ||||
\(635\) | −9.09522 | + | 15.7684i | −0.360933 | + | 0.625750i | ||||
\(636\) | 0.0163402 | + | 0.0118719i | 0.000647933 | + | 0.000470751i | ||||
\(637\) | −5.32909 | + | 1.73153i | −0.211146 | + | 0.0686056i | ||||
\(638\) | 6.42405 | − | 8.84195i | 0.254331 | − | 0.350056i | ||||
\(639\) | −4.72602 | + | 3.43366i | −0.186959 | + | 0.135833i | ||||
\(640\) | 2.18740 | + | 0.464002i | 0.0864644 | + | 0.0183413i | ||||
\(641\) | −13.6731 | + | 9.93411i | −0.540056 | + | 0.392374i | −0.824106 | − | 0.566436i | \(-0.808322\pi\) |
0.284050 | + | 0.958810i | \(0.408322\pi\) | |||||||
\(642\) | 21.9656 | − | 7.13706i | 0.866913 | − | 0.281677i | ||||
\(643\) | −26.7375 | + | 8.68754i | −1.05442 | + | 0.342603i | −0.784403 | − | 0.620251i | \(-0.787031\pi\) |
−0.270021 | + | 0.962854i | \(0.587031\pi\) | |||||||
\(644\) | −5.83349 | + | 17.9536i | −0.229872 | + | 0.707472i | ||||
\(645\) | 12.7551 | − | 1.34594i | 0.502233 | − | 0.0529965i | ||||
\(646\) | 32.6800 | 1.28578 | ||||||||
\(647\) | 16.9311 | + | 5.50123i | 0.665629 | + | 0.216276i | 0.622293 | − | 0.782785i | \(-0.286201\pi\) |
0.0433360 | + | 0.999061i | \(0.486201\pi\) | |||||||
\(648\) | −4.06253 | + | 5.59159i | −0.159591 | + | 0.219658i | ||||
\(649\) | 40.5912 | − | 29.4913i | 1.59335 | − | 1.15763i | ||||
\(650\) | −16.6669 | + | 3.55704i | −0.653728 | + | 0.139519i | ||||
\(651\) | 7.99029 | + | 24.1630i | 0.313164 | + | 0.947024i | ||||
\(652\) | − | 13.1651i | − | 0.515585i | ||||||
\(653\) | −7.82413 | − | 10.7690i | −0.306182 | − | 0.421423i | 0.628004 | − | 0.778210i | \(-0.283872\pi\) |
−0.934186 | + | 0.356787i | \(0.883872\pi\) | |||||||
\(654\) | −7.73160 | − | 5.61734i | −0.302330 | − | 0.219655i | ||||
\(655\) | −1.03416 | + | 4.87524i | −0.0404080 | + | 0.190491i | ||||
\(656\) | 7.40287 | 0.289033 | ||||||||
\(657\) | − | 1.97459i | − | 0.0770361i | ||||||
\(658\) | 35.4947 | + | 11.5329i | 1.38373 | + | 0.449600i | ||||
\(659\) | −10.4838 | − | 32.2659i | −0.408391 | − | 1.25690i | −0.918030 | − | 0.396511i | \(-0.870221\pi\) |
0.509639 | − | 0.860389i | \(-0.329779\pi\) | |||||||
\(660\) | −16.9831 | + | 7.56975i | −0.661065 | + | 0.294652i | ||||
\(661\) | −2.53891 | + | 1.84462i | −0.0987521 | + | 0.0717476i | −0.636066 | − | 0.771635i | \(-0.719439\pi\) |
0.537313 | + | 0.843383i | \(0.319439\pi\) | |||||||
\(662\) | 10.9529 | + | 3.55882i | 0.425697 | + | 0.138317i | ||||
\(663\) | 15.7469 | + | 21.6737i | 0.611557 | + | 0.841736i | ||||
\(664\) | 7.23423 | + | 5.25598i | 0.280743 | + | 0.203971i | ||||
\(665\) | −38.8152 | + | 17.3009i | −1.50519 | + | 0.670899i | ||||
\(666\) | 0.167493 | + | 0.121690i | 0.00649021 | + | 0.00471541i | ||||
\(667\) | 7.71199 | − | 10.6146i | 0.298609 | − | 0.411001i | ||||
\(668\) | −21.3460 | + | 6.93573i | −0.825901 | + | 0.268352i | ||||
\(669\) | −6.07758 | − | 4.41562i | −0.234973 | − | 0.170718i | ||||
\(670\) | 14.6748 | − | 13.2243i | 0.566939 | − | 0.510898i | ||||
\(671\) | 11.4260 | − | 35.1656i | 0.441096 | − | 1.35755i | ||||
\(672\) | 2.68673 | + | 3.69796i | 0.103643 | + | 0.142652i | ||||
\(673\) | 14.6214 | − | 4.75077i | 0.563612 | − | 0.183129i | −0.0133338 | − | 0.999911i | \(-0.504244\pi\) |
0.576946 | + | 0.816782i | \(0.304244\pi\) | |||||||
\(674\) | 4.82852 | + | 14.8607i | 0.185988 | + | 0.572411i | ||||
\(675\) | −27.7015 | − | 2.88842i | −1.06623 | − | 0.111175i | ||||
\(676\) | −1.38253 | −0.0531742 | ||||||||
\(677\) | 12.5099i | 0.480795i | 0.970675 | + | 0.240397i | \(0.0772778\pi\) | ||||
−0.970675 | + | 0.240397i | \(0.922722\pi\) | |||||||
\(678\) | −24.8225 | − | 8.06532i | −0.953302 | − | 0.309747i | ||||
\(679\) | −5.61743 | − | 4.08130i | −0.215577 | − | 0.156626i | ||||
\(680\) | 8.39784 | − | 7.56773i | 0.322042 | − | 0.290209i | ||||
\(681\) | −3.45610 | −0.132438 | ||||||||
\(682\) | −0.154959 | − | 29.7788i | −0.00593370 | − | 1.14029i | ||||
\(683\) | − | 24.3572i | − | 0.932002i | −0.884784 | − | 0.466001i | \(-0.845694\pi\) | ||
0.884784 | − | 0.466001i | \(-0.154306\pi\) | |||||||
\(684\) | 3.04826 | − | 2.21469i | 0.116553 | − | 0.0846809i | ||||
\(685\) | 18.2024 | − | 31.5576i | 0.695480 | − | 1.20576i | ||||
\(686\) | 4.86612 | − | 14.9764i | 0.185789 | − | 0.571800i | ||||
\(687\) | − | 31.6679i | − | 1.20820i | ||||||
\(688\) | 3.68940i | 0.140657i | ||||||||
\(689\) | 0.0136833 | − | 0.0421128i | 0.000521292 | − | 0.00160437i | ||||
\(690\) | −20.3879 | + | 9.08738i | −0.776155 | + | 0.345951i | ||||
\(691\) | −11.1752 | − | 34.3936i | −0.425123 | − | 1.30839i | −0.902877 | − | 0.429900i | \(-0.858549\pi\) |
0.477754 | − | 0.878494i | \(-0.341451\pi\) | |||||||
\(692\) | 6.66402 | + | 9.17224i | 0.253328 | + | 0.348676i | ||||
\(693\) | 8.71724 | + | 2.83240i | 0.331140 | + | 0.107594i | ||||
\(694\) | −15.3653 | + | 11.1635i | −0.583258 | + | 0.423762i | ||||
\(695\) | −25.6584 | − | 14.7998i | −0.973279 | − | 0.561387i | ||||
\(696\) | −0.981724 | − | 3.02143i | −0.0372121 | − | 0.114527i | ||||
\(697\) | 21.9983 | − | 30.2781i | 0.833246 | − | 1.14686i | ||||
\(698\) | 5.99746 | − | 8.25480i | 0.227007 | − | 0.312449i | ||||
\(699\) | −6.08992 | − | 18.7428i | −0.230342 | − | 0.708919i | ||||
\(700\) | −5.96806 | + | 13.4343i | −0.225572 | + | 0.507770i | ||||
\(701\) | −7.70516 | + | 5.59812i | −0.291020 | + | 0.211438i | −0.723710 | − | 0.690105i | \(-0.757565\pi\) |
0.432690 | + | 0.901543i | \(0.357565\pi\) | |||||||
\(702\) | 18.0569 | + | 5.86705i | 0.681515 | + | 0.221438i | ||||
\(703\) | 1.34953 | + | 1.85747i | 0.0508986 | + | 0.0700559i | ||||
\(704\) | −1.65278 | − | 5.08673i | −0.0622914 | − | 0.191713i | ||||
\(705\) | 17.9659 | + | 40.3074i | 0.676637 | + | 1.51806i | ||||
\(706\) | −0.305542 | + | 0.940363i | −0.0114992 | + | 0.0353910i | ||||
\(707\) | − | 26.9996i | − | 1.01543i | ||||||
\(708\) | − | 14.5845i | − | 0.548119i | ||||||
\(709\) | −2.10205 | + | 6.46945i | −0.0789442 | + | 0.242965i | −0.982738 | − | 0.185003i | \(-0.940771\pi\) |
0.903794 | + | 0.427968i | \(0.140771\pi\) | |||||||
\(710\) | −11.1969 | + | 19.4121i | −0.420213 | + | 0.728524i | ||||
\(711\) | 4.98818 | − | 3.62413i | 0.187072 | − | 0.135915i | ||||
\(712\) | − | 9.21182i | − | 0.345228i | ||||||
\(713\) | −0.186026 | − | 35.7490i | −0.00696674 | − | 1.33881i | ||||
\(714\) | 23.1087 | 0.864821 | ||||||||
\(715\) | 27.2887 | + | 30.2820i | 1.02054 | + | 1.13248i | ||||
\(716\) | 7.33006 | + | 5.32560i | 0.273937 | + | 0.199027i | ||||
\(717\) | 0.478460 | + | 0.155461i | 0.0178684 | + | 0.00580581i | ||||
\(718\) | 3.31742i | 0.123805i | ||||||||
\(719\) | 36.5730 | 1.36394 | 0.681971 | − | 0.731379i | \(-0.261123\pi\) | ||||
0.681971 | + | 0.731379i | \(0.261123\pi\) | |||||||
\(720\) | 0.270460 | − | 1.27500i | 0.0100795 | − | 0.0475166i | ||||
\(721\) | 0.789743 | + | 2.43058i | 0.0294116 | + | 0.0905195i | ||||
\(722\) | 21.6699 | − | 7.04098i | 0.806471 | − | 0.262038i | ||||
\(723\) | 1.63278 | + | 2.24733i | 0.0607238 | + | 0.0835792i | ||||
\(724\) | 3.20322 | − | 9.85850i | 0.119047 | − | 0.366388i | ||||
\(725\) | 6.83031 | − | 7.59844i | 0.253671 | − | 0.282199i | ||||
\(726\) | 22.1451 | + | 16.0894i | 0.821884 | + | 0.597133i | ||||
\(727\) | 10.5108 | − | 3.41517i | 0.389824 | − | 0.126662i | −0.107546 | − | 0.994200i | \(-0.534299\pi\) |
0.497370 | + | 0.867539i | \(0.334299\pi\) | |||||||
\(728\) | 5.89021 | − | 8.10718i | 0.218306 | − | 0.300472i | ||||
\(729\) | 24.2781 | + | 17.6391i | 0.899189 | + | 0.653299i | ||||
\(730\) | −3.08386 | − | 6.91876i | −0.114139 | − | 0.256075i | ||||
\(731\) | 15.0898 | + | 10.9634i | 0.558118 | + | 0.405496i | ||||
\(732\) | −6.31753 | − | 8.69533i | −0.233503 | − | 0.321389i | ||||
\(733\) | 42.1920 | + | 13.7090i | 1.55840 | + | 0.506354i | 0.956379 | − | 0.292129i | \(-0.0943638\pi\) |
0.602017 | + | 0.798483i | \(0.294364\pi\) | |||||||
\(734\) | −5.50208 | + | 3.99750i | −0.203085 | + | 0.147550i | ||||
\(735\) | −5.22005 | + | 2.32670i | −0.192545 | + | 0.0858216i | ||||
\(736\) | −1.98414 | − | 6.10655i | −0.0731363 | − | 0.225090i | ||||
\(737\) | −44.9381 | − | 14.6013i | −1.65532 | − | 0.537845i | ||||
\(738\) | − | 4.31503i | − | 0.158839i | ||||||
\(739\) | −25.4303 | −0.935471 | −0.467735 | − | 0.883869i | \(-0.654930\pi\) | ||||
−0.467735 | + | 0.883869i | \(0.654930\pi\) | |||||||
\(740\) | 0.776929 | + | 0.164806i | 0.0285605 | + | 0.00605839i | ||||
\(741\) | 27.7123 | + | 20.1342i | 1.01804 | + | 0.739647i | ||||
\(742\) | −0.0224506 | − | 0.0309006i | −0.000824187 | − | 0.00113440i | ||||
\(743\) | − | 36.8646i | − | 1.35243i | −0.736704 | − | 0.676216i | \(-0.763619\pi\) | ||
0.736704 | − | 0.676216i | \(-0.236381\pi\) | |||||||
\(744\) | −7.02943 | − | 5.05150i | −0.257711 | − | 0.185197i | ||||
\(745\) | −46.9474 | + | 4.95397i | −1.72002 | + | 0.181499i | ||||
\(746\) | −2.68226 | + | 1.94878i | −0.0982045 | + | 0.0713498i | ||||
\(747\) | 3.06364 | − | 4.21674i | 0.112093 | − | 0.154282i | ||||
\(748\) | −25.7163 | − | 8.35575i | −0.940283 | − | 0.305516i | ||||
\(749\) | −43.6762 | −1.59589 | ||||||||
\(750\) | −16.5247 | + | 5.39185i | −0.603398 | + | 0.196883i | ||||
\(751\) | −0.982658 | + | 3.02431i | −0.0358577 | + | 0.110359i | −0.967383 | − | 0.253317i | \(-0.918478\pi\) |
0.931526 | + | 0.363676i | \(0.118478\pi\) | |||||||
\(752\) | −12.0728 | + | 3.92268i | −0.440249 | + | 0.143046i | ||||
\(753\) | −4.60738 | + | 1.49703i | −0.167902 | + | 0.0545548i | ||||
\(754\) | −5.63471 | + | 4.09386i | −0.205204 | + | 0.149090i | ||||
\(755\) | −3.58883 | + | 16.9185i | −0.130611 | + | 0.615726i | ||||
\(756\) | 13.2494 | − | 9.62624i | 0.481875 | − | 0.350103i | ||||
\(757\) | −13.4822 | + | 18.5566i | −0.490018 | + | 0.674452i | −0.980391 | − | 0.197060i | \(-0.936860\pi\) |
0.490373 | + | 0.871513i | \(0.336860\pi\) | |||||||
\(758\) | −4.66497 | + | 1.51574i | −0.169439 | + | 0.0550541i | ||||
\(759\) | 43.1944 | + | 31.3826i | 1.56786 | + | 1.13912i | ||||
\(760\) | 7.22196 | − | 12.5207i | 0.261968 | − | 0.454175i | ||||
\(761\) | −5.82506 | − | 17.9277i | −0.211158 | − | 0.649878i | −0.999404 | − | 0.0345178i | \(-0.989010\pi\) |
0.788246 | − | 0.615360i | \(-0.210990\pi\) | |||||||
\(762\) | 7.43937 | − | 10.2394i | 0.269500 | − | 0.370935i | ||||
\(763\) | 10.6228 | + | 14.6210i | 0.384571 | + | 0.529316i | ||||
\(764\) | −5.72665 | + | 17.6248i | −0.207183 | + | 0.637643i | ||||
\(765\) | −4.41113 | − | 4.89499i | −0.159485 | − | 0.176979i | ||||
\(766\) | −11.0078 | − | 33.8784i | −0.397726 | − | 1.22408i | ||||
\(767\) | −30.4092 | + | 9.88054i | −1.09801 | + | 0.356766i | ||||
\(768\) | −1.47861 | − | 0.480431i | −0.0533549 | − | 0.0173361i | ||||
\(769\) | 43.8253 | 1.58038 | 0.790190 | − | 0.612862i | \(-0.209982\pi\) | ||||
0.790190 | + | 0.612862i | \(0.209982\pi\) | |||||||
\(770\) | 34.9679 | − | 3.68987i | 1.26015 | − | 0.132974i | ||||
\(771\) | −0.751182 | + | 2.31190i | −0.0270532 | + | 0.0832611i | ||||
\(772\) | 3.48567 | − | 4.79761i | 0.125452 | − | 0.172670i | ||||
\(773\) | −1.99118 | − | 2.74063i | −0.0716179 | − | 0.0985736i | 0.771705 | − | 0.635980i | \(-0.219404\pi\) |
−0.843323 | + | 0.537407i | \(0.819404\pi\) | |||||||
\(774\) | 2.15050 | 0.0772983 | ||||||||
\(775\) | 2.74297 | − | 27.7034i | 0.0985302 | − | 0.995134i | ||||
\(776\) | 2.36169 | 0.0847798 | ||||||||
\(777\) | 0.954284 | + | 1.31346i | 0.0342347 | + | 0.0471201i | ||||
\(778\) | −4.96363 | + | 6.83185i | −0.177955 | + | 0.244934i | ||||
\(779\) | 14.7874 | − | 45.5111i | 0.529815 | − | 1.63060i | ||||
\(780\) | 11.7838 | − | 1.24344i | 0.421927 | − | 0.0445225i | ||||
\(781\) | 53.6027 | 1.91805 | ||||||||
\(782\) | −30.8721 | − | 10.0310i | −1.10398 | − | 0.358706i | ||||
\(783\) | −10.8255 | + | 3.51740i | −0.386870 | + | 0.125702i | ||||
\(784\) | −0.508011 | − | 1.56350i | −0.0181433 | − | 0.0558392i | ||||
\(785\) | 6.19746 | + | 6.87726i | 0.221197 | + | 0.245460i | ||||
\(786\) | 1.07078 | − | 3.29552i | 0.0381934 | − | 0.117547i | ||||
\(787\) | 25.7388 | + | 35.4264i | 0.917488 | + | 1.26281i | 0.964544 | + | 0.263922i | \(0.0850161\pi\) |
−0.0470558 | + | 0.998892i | \(0.514984\pi\) | |||||||
\(788\) | −0.0801732 | + | 0.110349i | −0.00285605 | + | 0.00393102i | ||||
\(789\) | −1.22101 | − | 3.75789i | −0.0434692 | − | 0.133785i | ||||
\(790\) | 11.8180 | − | 20.4890i | 0.420467 | − | 0.728965i | ||||
\(791\) | 39.9305 | + | 29.0112i | 1.41976 | + | 1.03152i | ||||
\(792\) | −2.96498 | + | 0.963382i | −0.105356 | + | 0.0342323i | ||||
\(793\) | −13.8502 | + | 19.0631i | −0.491833 | + | 0.676951i | ||||
\(794\) | −20.1084 | + | 14.6096i | −0.713622 | + | 0.518477i | ||||
\(795\) | 0.00937175 | − | 0.0441803i | 0.000332382 | − | 0.00156691i | ||||
\(796\) | 2.39975 | − | 1.74352i | 0.0850568 | − | 0.0617974i | ||||
\(797\) | 31.5021 | − | 10.2357i | 1.11586 | − | 0.362565i | 0.307675 | − | 0.951492i | \(-0.400449\pi\) |
0.808187 | + | 0.588926i | \(0.200449\pi\) | |||||||
\(798\) | 28.1010 | − | 9.13057i | 0.994765 | − | 0.323219i | ||||
\(799\) | −19.8314 | + | 61.0348i | −0.701585 | + | 2.15926i | ||||
\(800\) | −1.04360 | − | 4.88988i | −0.0368967 | − | 0.172883i | ||||
\(801\) | −5.36945 | −0.189720 | ||||||||
\(802\) | −19.6434 | − | 6.38254i | −0.693634 | − | 0.225375i | ||||
\(803\) | −10.6499 | + | 14.6583i | −0.375826 | + | 0.517279i | ||||
\(804\) | −11.1118 | + | 8.07316i | −0.391881 | + | 0.284718i | ||||
\(805\) | 41.9784 | − | 4.42964i | 1.47955 | − | 0.156124i | ||||
\(806\) | −5.77034 | + | 18.0788i | −0.203252 | + | 0.636800i | ||||
\(807\) | − | 9.14483i | − | 0.321913i | ||||||
\(808\) | 5.39784 | + | 7.42949i | 0.189895 | + | 0.261369i | ||||
\(809\) | −36.4854 | − | 26.5082i | −1.28276 | − | 0.931979i | −0.283126 | − | 0.959083i | \(-0.591372\pi\) |
−0.999633 | + | 0.0271037i | \(0.991372\pi\) | |||||||
\(810\) | 15.1184 | + | 3.20699i | 0.531205 | + | 0.112682i | ||||
\(811\) | 10.5524 | 0.370546 | 0.185273 | − | 0.982687i | \(-0.440683\pi\) | ||||
0.185273 | + | 0.982687i | \(0.440683\pi\) | |||||||
\(812\) | 6.00779i | 0.210832i | ||||||||
\(813\) | 10.3263 | + | 3.35521i | 0.362158 | + | 0.117672i | ||||
\(814\) | −0.587041 | − | 1.80673i | −0.0205758 | − | 0.0633257i | ||||
\(815\) | −26.8880 | + | 11.9846i | −0.941847 | + | 0.419803i | ||||
\(816\) | −6.35882 | + | 4.61996i | −0.222603 | + | 0.161731i | ||||
\(817\) | 22.6816 | + | 7.36969i | 0.793528 | + | 0.257833i | ||||
\(818\) | 15.2973 | + | 21.0550i | 0.534859 | + | 0.736170i | ||||
\(819\) | −4.72557 | − | 3.43332i | −0.165125 | − | 0.119970i | ||||
\(820\) | −6.73908 | − | 15.1194i | −0.235339 | − | 0.527993i | ||||
\(821\) | 30.0234 | + | 21.8132i | 1.04782 | + | 0.761287i | 0.971797 | − | 0.235818i | \(-0.0757771\pi\) |
0.0760251 | + | 0.997106i | \(0.475777\pi\) | |||||||
\(822\) | −14.8886 | + | 20.4923i | −0.519298 | + | 0.714753i | ||||
\(823\) | 0.371597 | − | 0.120739i | 0.0129530 | − | 0.00420870i | −0.302533 | − | 0.953139i | \(-0.597832\pi\) |
0.315486 | + | 0.948930i | \(0.397832\pi\) | |||||||
\(824\) | −0.703242 | − | 0.510935i | −0.0244986 | − | 0.0177993i | ||||
\(825\) | 30.9205 | + | 27.7948i | 1.07651 | + | 0.967689i | ||||
\(826\) | −8.52278 | + | 26.2304i | −0.296545 | + | 0.912673i | ||||
\(827\) | 5.96763 | + | 8.21374i | 0.207515 | + | 0.285620i | 0.900070 | − | 0.435745i | \(-0.143515\pi\) |
−0.692555 | + | 0.721365i | \(0.743515\pi\) | |||||||
\(828\) | −3.55942 | + | 1.15653i | −0.123699 | + | 0.0401921i | ||||
\(829\) | −2.65979 | − | 8.18600i | −0.0923784 | − | 0.284312i | 0.894183 | − | 0.447701i | \(-0.147757\pi\) |
−0.986562 | + | 0.163390i | \(0.947757\pi\) | |||||||
\(830\) | 4.14910 | − | 19.5597i | 0.144017 | − | 0.678927i | ||||
\(831\) | −43.0131 | −1.49211 | ||||||||
\(832\) | 3.40844i | 0.118166i | ||||||||
\(833\) | −7.90438 | − | 2.56829i | −0.273871 | − | 0.0889860i | ||||
\(834\) | 16.6616 | + | 12.1054i | 0.576944 | + | 0.419175i | ||||
\(835\) | 33.5973 | + | 37.2827i | 1.16268 | + | 1.29022i | ||||
\(836\) | −34.5735 | −1.19575 | ||||||||
\(837\) | −18.0990 | + | 25.1856i | −0.625591 | + | 0.870543i | ||||
\(838\) | 34.1362i | 1.17921i | ||||||||
\(839\) | 3.26107 | − | 2.36931i | 0.112585 | − | 0.0817976i | −0.530068 | − | 0.847955i | \(-0.677834\pi\) |
0.642653 | + | 0.766157i | \(0.277834\pi\) | |||||||
\(840\) | 5.10680 | − | 8.85368i | 0.176201 | − | 0.305481i | ||||
\(841\) | −7.67117 | + | 23.6094i | −0.264523 | + | 0.814118i | ||||
\(842\) | − | 19.3807i | − | 0.667902i | ||||||
\(843\) | 14.2711i | 0.491522i | ||||||||
\(844\) | 2.81010 | − | 8.64861i | 0.0967278 | − | 0.297697i | ||||
\(845\) | 1.25856 | + | 2.82364i | 0.0432959 | + | 0.0971362i | ||||
\(846\) | 2.28648 | + | 7.03706i | 0.0786108 | + | 0.241939i | ||||
\(847\) | −30.4262 | − | 41.8780i | −1.04546 | − | 1.43895i | ||||
\(848\) | 0.0123555 | + | 0.00401453i | 0.000424288 | + | 0.000137860i | ||||
\(849\) | 15.6232 | − | 11.3509i | 0.536187 | − | 0.389563i | ||||
\(850\) | −23.1010 | − | 10.2624i | −0.792357 | − | 0.351996i | ||||
\(851\) | −0.704735 | − | 2.16895i | −0.0241580 | − | 0.0743507i | ||||
\(852\) | 9.15844 | − | 12.6055i | 0.313763 | − | 0.431858i | ||||
\(853\) | −6.52227 | + | 8.97714i | −0.223318 | + | 0.307371i | −0.905945 | − | 0.423396i | \(-0.860838\pi\) |
0.682626 | + | 0.730768i | \(0.260838\pi\) | |||||||
\(854\) | 6.28086 | + | 19.3305i | 0.214926 | + | 0.661476i | ||||
\(855\) | −7.29817 | − | 4.20958i | −0.249592 | − | 0.143965i | ||||
\(856\) | 12.0184 | − | 8.73187i | 0.410780 | − | 0.298449i | ||||
\(857\) | 35.5504 | + | 11.5510i | 1.21438 | + | 0.394576i | 0.845032 | − | 0.534715i | \(-0.179581\pi\) |
0.369348 | + | 0.929291i | \(0.379581\pi\) | |||||||
\(858\) | −16.6592 | − | 22.9295i | −0.568737 | − | 0.782799i | ||||
\(859\) | −17.3986 | − | 53.5472i | −0.593631 | − | 1.82701i | −0.561426 | − | 0.827527i | \(-0.689747\pi\) |
−0.0322055 | − | 0.999481i | \(-0.510253\pi\) | |||||||
\(860\) | 7.53514 | − | 3.35859i | 0.256946 | − | 0.114527i | ||||
\(861\) | 10.4565 | − | 32.1819i | 0.356357 | − | 1.09676i | ||||
\(862\) | 24.3875i | 0.830642i | ||||||||
\(863\) | 18.0253i | 0.613587i | 0.951776 | + | 0.306793i | \(0.0992561\pi\) | ||||
−0.951776 | + | 0.306793i | \(0.900744\pi\) | |||||||
\(864\) | −1.72133 | + | 5.29771i | −0.0585608 | + | 0.180232i | ||||
\(865\) | 12.6667 | − | 21.9602i | 0.430679 | − | 0.746670i | ||||
\(866\) | −20.5039 | + | 14.8970i | −0.696751 | + | 0.506219i | ||||
\(867\) | 13.3065i | 0.451913i | ||||||||
\(868\) | 9.69057 | + | 13.1930i | 0.328919 | + | 0.447800i | ||||
\(869\) | −56.5761 | −1.91921 | ||||||||
\(870\) | −5.27720 | + | 4.75556i | −0.178914 | + | 0.161229i | ||||
\(871\) | 24.3607 | + | 17.6991i | 0.825431 | + | 0.599711i | ||||
\(872\) | −5.84615 | − | 1.89953i | −0.197976 | − | 0.0643261i | ||||
\(873\) | − | 1.37660i | − | 0.0465908i | ||||||
\(874\) | −41.5050 | −1.40393 | ||||||||
\(875\) | 32.8709 | − | 0.0407158i | 1.11124 | − | 0.00137645i | ||||
\(876\) | 1.62751 | + | 5.00897i | 0.0549885 | + | 0.169237i | ||||
\(877\) | 27.0680 | − | 8.79493i | 0.914022 | − | 0.296984i | 0.186010 | − | 0.982548i | \(-0.440444\pi\) |
0.728012 | + | 0.685564i | \(0.240444\pi\) | |||||||
\(878\) | 2.59006 | + | 3.56491i | 0.0874103 | + | 0.120310i | ||||
\(879\) | −6.82530 | + | 21.0061i | −0.230212 | + | 0.708519i | ||||
\(880\) | −8.88442 | + | 8.00621i | −0.299494 | + | 0.269889i | ||||
\(881\) | −8.05484 | − | 5.85218i | −0.271374 | − | 0.197165i | 0.443772 | − | 0.896140i | \(-0.353640\pi\) |
−0.715146 | + | 0.698975i | \(0.753640\pi\) | |||||||
\(882\) | −0.911342 | + | 0.296113i | −0.0306865 | + | 0.00997064i | ||||
\(883\) | 27.0686 | − | 37.2567i | 0.910929 | − | 1.25379i | −0.0559188 | − | 0.998435i | \(-0.517809\pi\) |
0.966848 | − | 0.255352i | \(-0.0821912\pi\) | |||||||
\(884\) | 13.9407 | + | 10.1285i | 0.468876 | + | 0.340658i | ||||
\(885\) | −29.7870 | + | 13.2768i | −1.00128 | + | 0.446293i | ||||
\(886\) | 16.1673 | + | 11.7462i | 0.543150 | + | 0.394622i | ||||
\(887\) | −18.7871 | − | 25.8583i | −0.630811 | − | 0.868236i | 0.367273 | − | 0.930113i | \(-0.380291\pi\) |
−0.998084 | + | 0.0618767i | \(0.980291\pi\) | |||||||
\(888\) | −0.525181 | − | 0.170642i | −0.0176239 | − | 0.00572636i | ||||
\(889\) | −19.3635 | + | 14.0684i | −0.649429 | + | 0.471838i | ||||
\(890\) | −18.8140 | + | 8.38583i | −0.630646 | + | 0.281094i | ||||
\(891\) | −11.4233 | − | 35.1573i | −0.382695 | − | 1.17782i | ||||
\(892\) | −4.59548 | − | 1.49316i | −0.153868 | − | 0.0499947i | ||||
\(893\) | 82.0562i | 2.74591i | ||||||||
\(894\) | 32.8231 | 1.09777 | ||||||||
\(895\) | 4.20406 | − | 19.8188i | 0.140526 | − | 0.662469i | ||||
\(896\) | 2.37856 | + | 1.72812i | 0.0794621 | + | 0.0577326i | ||||
\(897\) | −19.9992 | − | 27.5265i | −0.667754 | − | 0.919084i | ||||
\(898\) | − | 16.9595i | − | 0.565947i | ||||||
\(899\) | −3.57204 | − | 10.8020i | −0.119134 | − | 0.360267i | ||||
\(900\) | −2.85024 | + | 0.608298i | −0.0950081 | + | 0.0202766i | ||||
\(901\) | 0.0531350 | − | 0.0386049i | 0.00177018 | − | 0.00128611i | ||||
\(902\) | −23.2729 | + | 32.0324i | −0.774904 | + | 1.06656i | ||||
\(903\) | 16.0386 | + | 5.21127i | 0.533732 | + | 0.173420i | ||||
\(904\) | −16.7877 | −0.558350 | ||||||||
\(905\) | −23.0507 | + | 2.43235i | −0.766232 | + | 0.0808542i | ||||
\(906\) | 3.71590 | − | 11.4364i | 0.123453 | − | 0.379948i | ||||
\(907\) | 14.9239 | − | 4.84907i | 0.495540 | − | 0.161011i | −0.0505761 | − | 0.998720i | \(-0.516106\pi\) |
0.546116 | + | 0.837709i | \(0.316106\pi\) | |||||||
\(908\) | −2.11419 | + | 0.686943i | −0.0701620 | + | 0.0227970i | ||||
\(909\) | 4.33055 | − | 3.14633i | 0.143635 | − | 0.104357i | ||||
\(910\) | −21.9200 | − | 4.64977i | −0.726639 | − | 0.154138i | ||||
\(911\) | 0.451978 | − | 0.328381i | 0.0149747 | − | 0.0108797i | −0.580273 | − | 0.814422i | \(-0.697054\pi\) |
0.595247 | + | 0.803542i | \(0.297054\pi\) | |||||||
\(912\) | −5.90715 | + | 8.13049i | −0.195605 | + | 0.269228i | ||||
\(913\) | −45.4855 | + | 14.7791i | −1.50535 | + | 0.489118i | ||||
\(914\) | −7.32394 | − | 5.32115i | −0.242254 | − | 0.176008i | ||||
\(915\) | −12.0081 | + | 20.8184i | −0.396974 | + | 0.688236i | ||||
\(916\) | −6.29438 | − | 19.3721i | −0.207972 | − | 0.640072i | ||||
\(917\) | −3.85162 | + | 5.30130i | −0.127192 | + | 0.175064i | ||||
\(918\) | 16.5528 | + | 22.7829i | 0.546323 | + | 0.751949i | ||||
\(919\) | −0.377395 | + | 1.16150i | −0.0124491 | + | 0.0383144i | −0.957088 | − | 0.289797i | \(-0.906412\pi\) |
0.944639 | + | 0.328112i | \(0.106412\pi\) | |||||||
\(920\) | −10.6656 | + | 9.61135i | −0.351635 | + | 0.316877i | ||||
\(921\) | −0.829118 | − | 2.55176i | −0.0273204 | − | 0.0840834i | ||||
\(922\) | −23.5321 | + | 7.64604i | −0.774989 | + | 0.251809i | ||||
\(923\) | −32.4875 | − | 10.5558i | −1.06934 | − | 0.347449i | ||||
\(924\) | −24.4476 | −0.804269 | ||||||||
\(925\) | −0.370669 | − | 1.73681i | −0.0121875 | − | 0.0571059i | ||||
\(926\) | −6.30891 | + | 19.4168i | −0.207324 | + | 0.638077i | ||||
\(927\) | −0.297817 | + | 0.409910i | −0.00978160 | + | 0.0134632i | ||||
\(928\) | −1.20109 | − | 1.65316i | −0.0394278 | − | 0.0542678i | ||||
\(929\) | 26.8844 | 0.882048 | 0.441024 | − | 0.897495i | \(-0.354615\pi\) | ||||
0.441024 | + | 0.897495i | \(0.354615\pi\) | |||||||
\(930\) | −3.91793 | + | 18.9553i | −0.128474 | + | 0.621568i | ||||
\(931\) | −10.6268 | −0.348279 | ||||||||
\(932\) | −7.45074 | − | 10.2551i | −0.244057 | − | 0.335916i | ||||
\(933\) | 18.6594 | − | 25.6824i | 0.610881 | − | 0.840805i | ||||
\(934\) | −7.05080 | + | 21.7001i | −0.230709 | + | 0.710050i | ||||
\(935\) | 6.34491 | + | 60.1289i | 0.207501 | + | 1.96643i | ||||
\(936\) | 1.98673 | 0.0649384 | ||||||||
\(937\) | −39.0463 | − | 12.6869i | −1.27559 | − | 0.414463i | −0.408562 | − | 0.912730i | \(-0.633970\pi\) |
−0.867023 | + | 0.498268i | \(0.833970\pi\) | |||||||
\(938\) | 24.7024 | − | 8.02630i | 0.806562 | − | 0.262068i | ||||
\(939\) | −10.2126 | − | 31.4311i | −0.333275 | − | 1.02571i | ||||
\(940\) | 19.0018 | + | 21.0862i | 0.619772 | + | 0.687755i | ||||
\(941\) | −7.05567 | + | 21.7151i | −0.230008 | + | 0.707892i | 0.767736 | + | 0.640766i | \(0.221383\pi\) |
−0.997744 | + | 0.0671264i | \(0.978617\pi\) | |||||||
\(942\) | −3.78343 | − | 5.20745i | −0.123271 | − | 0.169668i | ||||
\(943\) | −27.9388 | + | 38.4545i | −0.909813 | + | 1.25225i | ||||
\(944\) | −2.89884 | − | 8.92173i | −0.0943494 | − | 0.290377i | ||||
\(945\) | −31.7217 | − | 18.2971i | −1.03191 | − | 0.595205i | ||||
\(946\) | −15.9642 | − | 11.5986i | −0.519040 | − | 0.377104i | ||||
\(947\) | 28.4545 | − | 9.24543i | 0.924647 | − | 0.300436i | 0.192275 | − | 0.981341i | \(-0.438413\pi\) |
0.732372 | + | 0.680905i | \(0.238413\pi\) | |||||||
\(948\) | −9.66647 | + | 13.3048i | −0.313952 | + | 0.432118i | ||||
\(949\) | 9.34129 | − | 6.78684i | 0.303231 | − | 0.220310i | ||||
\(950\) | −32.1464 | − | 3.35189i | −1.04297 | − | 0.108750i | ||||
\(951\) | 27.8633 | − | 20.2438i | 0.903528 | − | 0.656452i | ||||
\(952\) | 14.1362 | − | 4.59314i | 0.458158 | − | 0.148864i | ||||
\(953\) | 38.9803 | − | 12.6655i | 1.26269 | − | 0.410274i | 0.400241 | − | 0.916410i | \(-0.368926\pi\) |
0.862454 | + | 0.506136i | \(0.168926\pi\) | |||||||
\(954\) | 0.00234002 | − | 0.00720183i | 7.57608e−5 | − | 0.000233168i | ||||
\(955\) | 41.2096 | − | 4.34851i | 1.33351 | − | 0.140714i | ||||
\(956\) | 0.323587 | 0.0104656 | ||||||||
\(957\) | 16.1601 | + | 5.25075i | 0.522383 | + | 0.169733i | ||||
\(958\) | 11.5870 | − | 15.9482i | 0.374360 | − | 0.515262i | ||||
\(959\) | 38.7525 | − | 28.1553i | 1.25138 | − | 0.909183i | ||||
\(960\) | 0.364813 | + | 3.45724i | 0.0117743 | + | 0.111582i | ||||
\(961\) | −25.2678 | − | 17.9594i | −0.815090 | − | 0.579334i | ||||
\(962\) | 1.21063i | 0.0390321i | ||||||||
\(963\) | −5.08969 | − | 7.00535i | −0.164013 | − | 0.225744i | ||||
\(964\) | 1.44550 | + | 1.05022i | 0.0465565 | + | 0.0338253i | ||||
\(965\) | −12.9716 | − | 2.75161i | −0.417572 | − | 0.0885775i | ||||
\(966\) | −29.3491 | −0.944291 | ||||||||
\(967\) | − | 28.9027i | − | 0.929447i | −0.885456 | − | 0.464724i | \(-0.846154\pi\) | ||
0.885456 | − | 0.464724i | \(-0.153846\pi\) | |||||||
\(968\) | 16.7448 | + | 5.44070i | 0.538197 | + | 0.174871i | ||||
\(969\) | 15.7005 | + | 48.3210i | 0.504371 | + | 1.55230i | ||||
\(970\) | −2.14993 | − | 4.82346i | −0.0690301 | − | 0.154872i | ||||
\(971\) | −26.1068 | + | 18.9677i | −0.837806 | + | 0.608702i | −0.921757 | − | 0.387768i | \(-0.873246\pi\) |
0.0839510 | + | 0.996470i | \(0.473246\pi\) | |||||||
\(972\) | 5.67355 | + | 1.84345i | 0.181979 | + | 0.0591287i | ||||
\(973\) | −22.8921 | − | 31.5083i | −0.733887 | − | 1.01011i | ||||
\(974\) | −8.64248 | − | 6.27913i | −0.276923 | − | 0.201196i | ||||
\(975\) | −13.2668 | − | 22.9349i | −0.424876 | − | 0.734506i | ||||
\(976\) | −5.59291 | − | 4.06349i | −0.179025 | − | 0.130069i | ||||
\(977\) | 25.7694 | − | 35.4685i | 0.824435 | − | 1.13474i | −0.164499 | − | 0.986377i | \(-0.552601\pi\) |
0.988933 | − | 0.148360i | \(-0.0473994\pi\) | |||||||
\(978\) | 19.4661 | − | 6.32492i | 0.622457 | − | 0.202249i | ||||
\(979\) | 39.8598 | + | 28.9599i | 1.27393 | + | 0.925561i | ||||
\(980\) | −2.73079 | + | 2.46085i | −0.0872318 | + | 0.0786091i | ||||
\(981\) | −1.10721 | + | 3.40764i | −0.0353505 | + | 0.108798i | ||||
\(982\) | 0.591301 | + | 0.813856i | 0.0188692 | + | 0.0259712i | ||||
\(983\) | −1.77616 | + | 0.577109i | −0.0566507 | + | 0.0184069i | −0.337205 | − | 0.941431i | \(-0.609482\pi\) |
0.280555 | + | 0.959838i | \(0.409482\pi\) | |||||||
\(984\) | 3.55657 | + | 10.9460i | 0.113379 | + | 0.348945i | ||||
\(985\) | 0.298358 | + | 0.0632893i | 0.00950649 | + | 0.00201656i | ||||
\(986\) | −10.3307 | −0.328996 | ||||||||
\(987\) | 58.0237i | 1.84692i | ||||||||
\(988\) | 20.9543 | + | 6.80846i | 0.666645 | + | 0.216606i | ||||
\(989\) | −19.1648 | − | 13.9240i | −0.609404 | − | 0.442758i | ||||
\(990\) | 4.66671 | + | 5.17861i | 0.148318 | + | 0.164587i | ||||
\(991\) | −14.9877 | −0.476099 | −0.238049 | − | 0.971253i | \(-0.576508\pi\) | ||||
−0.238049 | + | 0.971253i | \(0.576508\pi\) | |||||||
\(992\) | −5.30414 | − | 1.69296i | −0.168407 | − | 0.0537514i | ||||
\(993\) | 17.9049i | 0.568195i | ||||||||
\(994\) | −23.8379 | + | 17.3193i | −0.756092 | + | 0.549333i | ||||
\(995\) | −5.74549 | − | 3.31400i | −0.182144 | − | 0.105061i | ||||
\(996\) | −4.29601 | + | 13.2218i | −0.136124 | + | 0.418948i | ||||
\(997\) | − | 27.4934i | − | 0.870725i | −0.900255 | − | 0.435362i | \(-0.856620\pi\) | ||
0.900255 | − | 0.435362i | \(-0.143380\pi\) | |||||||
\(998\) | 4.50933i | 0.142740i | ||||||||
\(999\) | −0.611389 | + | 1.88166i | −0.0193435 | + | 0.0595332i |
(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 | 310.2.n.a.109.11 | yes | 64 | |
5.4 | even | 2 | inner | 310.2.n.a.109.6 | ✓ | 64 | |
31.2 | even | 5 | inner | 310.2.n.a.219.6 | yes | 64 | |
155.64 | even | 10 | inner | 310.2.n.a.219.11 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
310.2.n.a.109.6 | ✓ | 64 | 5.4 | even | 2 | inner | |
310.2.n.a.109.11 | yes | 64 | 1.1 | even | 1 | trivial | |
310.2.n.a.219.6 | yes | 64 | 31.2 | even | 5 | inner | |
310.2.n.a.219.11 | yes | 64 | 155.64 | even | 10 | inner |