Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(164,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.164");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bq (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 164.3 | ||
Character | \(\chi\) | \(=\) | 315.164 |
Dual form | 315.2.bq.a.194.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.53172 | −1.79019 | −0.895097 | − | 0.445871i | \(-0.852894\pi\) | ||||
−0.895097 | + | 0.445871i | \(0.852894\pi\) | |||||||
\(3\) | 1.70470 | − | 0.306605i | 0.984208 | − | 0.177018i | ||||
\(4\) | 4.40959 | 2.20480 | ||||||||
\(5\) | −1.09270 | − | 1.95090i | −0.488670 | − | 0.872469i | ||||
\(6\) | −4.31581 | + | 0.776236i | −1.76192 | + | 0.316897i | ||||
\(7\) | 2.57916 | + | 0.589845i | 0.974832 | + | 0.222941i | ||||
\(8\) | −6.10041 | −2.15682 | ||||||||
\(9\) | 2.81199 | − | 1.04534i | 0.937329 | − | 0.348445i | ||||
\(10\) | 2.76640 | + | 4.93913i | 0.874814 | + | 1.56189i | ||||
\(11\) | 1.23377 | − | 0.712319i | 0.371997 | − | 0.214772i | −0.302334 | − | 0.953202i | \(-0.597766\pi\) |
0.674330 | + | 0.738430i | \(0.264432\pi\) | |||||||
\(12\) | 7.51702 | − | 1.35200i | 2.16998 | − | 0.390289i | ||||
\(13\) | −2.08746 | − | 3.61559i | −0.578957 | − | 1.00278i | −0.995599 | − | 0.0937125i | \(-0.970127\pi\) |
0.416642 | − | 0.909071i | \(-0.363207\pi\) | |||||||
\(14\) | −6.52971 | − | 1.49332i | −1.74514 | − | 0.399107i | ||||
\(15\) | −2.46088 | − | 2.99067i | −0.635395 | − | 0.772187i | ||||
\(16\) | 6.62532 | 1.65633 | ||||||||
\(17\) | 4.27416 | + | 2.46769i | 1.03664 | + | 0.598502i | 0.918879 | − | 0.394540i | \(-0.129096\pi\) |
0.117758 | + | 0.993042i | \(0.462429\pi\) | |||||||
\(18\) | −7.11916 | + | 2.64650i | −1.67800 | + | 0.623785i | ||||
\(19\) | −4.54377 | + | 2.62335i | −1.04241 | + | 0.601837i | −0.920515 | − | 0.390706i | \(-0.872231\pi\) |
−0.121896 | + | 0.992543i | \(0.538898\pi\) | |||||||
\(20\) | −4.81835 | − | 8.60267i | −1.07742 | − | 1.92362i | ||||
\(21\) | 4.57754 | + | 0.214725i | 0.998902 | + | 0.0468568i | ||||
\(22\) | −3.12356 | + | 1.80339i | −0.665946 | + | 0.384484i | ||||
\(23\) | 0.238847 | − | 0.413696i | 0.0498031 | − | 0.0862616i | −0.840049 | − | 0.542510i | \(-0.817474\pi\) |
0.889852 | + | 0.456249i | \(0.150807\pi\) | |||||||
\(24\) | −10.3993 | + | 1.87041i | −2.12276 | + | 0.381796i | ||||
\(25\) | −2.61202 | + | 4.26349i | −0.522404 | + | 0.852698i | ||||
\(26\) | 5.28486 | + | 9.15364i | 1.03645 | + | 1.79518i | ||||
\(27\) | 4.47308 | − | 2.64415i | 0.860845 | − | 0.508867i | ||||
\(28\) | 11.3731 | + | 2.60098i | 2.14931 | + | 0.491539i | ||||
\(29\) | −1.74963 | − | 1.01015i | −0.324899 | − | 0.187580i | 0.328675 | − | 0.944443i | \(-0.393398\pi\) |
−0.653574 | + | 0.756863i | \(0.726731\pi\) | |||||||
\(30\) | 6.23024 | + | 7.57152i | 1.13748 | + | 1.38236i | ||||
\(31\) | − | 10.6444i | − | 1.91179i | −0.293703 | − | 0.955897i | \(-0.594888\pi\) | ||
0.293703 | − | 0.955897i | \(-0.405112\pi\) | |||||||
\(32\) | −4.57262 | −0.808333 | ||||||||
\(33\) | 1.88481 | − | 1.59257i | 0.328103 | − | 0.277231i | ||||
\(34\) | −10.8210 | − | 6.24749i | −1.85578 | − | 1.07144i | ||||
\(35\) | −1.66752 | − | 5.67621i | −0.281862 | − | 0.959455i | ||||
\(36\) | 12.3997 | − | 4.60951i | 2.06662 | − | 0.768251i | ||||
\(37\) | 7.03282 | − | 4.06040i | 1.15619 | − | 0.667526i | 0.205801 | − | 0.978594i | \(-0.434020\pi\) |
0.950388 | + | 0.311068i | \(0.100687\pi\) | |||||||
\(38\) | 11.5035 | − | 6.64157i | 1.86612 | − | 1.07740i | ||||
\(39\) | −4.66704 | − | 5.52345i | −0.747325 | − | 0.884461i | ||||
\(40\) | 6.66590 | + | 11.9013i | 1.05397 | + | 1.88176i | ||||
\(41\) | 0.421048 | + | 0.729276i | 0.0657566 | + | 0.113894i | 0.897029 | − | 0.441971i | \(-0.145721\pi\) |
−0.831273 | + | 0.555865i | \(0.812387\pi\) | |||||||
\(42\) | −11.5890 | − | 0.543622i | −1.78823 | − | 0.0838827i | ||||
\(43\) | 3.70789 | + | 2.14075i | 0.565447 | + | 0.326461i | 0.755329 | − | 0.655346i | \(-0.227477\pi\) |
−0.189882 | + | 0.981807i | \(0.560810\pi\) | |||||||
\(44\) | 5.44044 | − | 3.14104i | 0.820176 | − | 0.473529i | ||||
\(45\) | −5.11200 | − | 4.34367i | −0.762052 | − | 0.647516i | ||||
\(46\) | −0.604694 | + | 1.04736i | −0.0891573 | + | 0.154425i | ||||
\(47\) | − | 4.94304i | − | 0.721016i | −0.932756 | − | 0.360508i | \(-0.882603\pi\) | ||
0.932756 | − | 0.360508i | \(-0.117397\pi\) | |||||||
\(48\) | 11.2942 | − | 2.03135i | 1.63017 | − | 0.293201i | ||||
\(49\) | 6.30416 | + | 3.04261i | 0.900595 | + | 0.434659i | ||||
\(50\) | 6.61290 | − | 10.7940i | 0.935205 | − | 1.52650i | ||||
\(51\) | 8.04276 | + | 2.89618i | 1.12621 | + | 0.405547i | ||||
\(52\) | −9.20484 | − | 15.9433i | −1.27648 | − | 2.21093i | ||||
\(53\) | −2.33122 | + | 4.03778i | −0.320217 | + | 0.554632i | −0.980533 | − | 0.196356i | \(-0.937089\pi\) |
0.660316 | + | 0.750988i | \(0.270423\pi\) | |||||||
\(54\) | −11.3246 | + | 6.69424i | −1.54108 | + | 0.910971i | ||||
\(55\) | −2.73781 | − | 1.62862i | −0.369166 | − | 0.219603i | ||||
\(56\) | −15.7339 | − | 3.59830i | −2.10254 | − | 0.480843i | ||||
\(57\) | −6.94142 | + | 5.86515i | −0.919413 | + | 0.776858i | ||||
\(58\) | 4.42958 | + | 2.55742i | 0.581632 | + | 0.335805i | ||||
\(59\) | 0.202459 | 0.0263579 | 0.0131790 | − | 0.999913i | \(-0.495805\pi\) | ||||
0.0131790 | + | 0.999913i | \(0.495805\pi\) | |||||||
\(60\) | −10.8515 | − | 13.1876i | −1.40092 | − | 1.70251i | ||||
\(61\) | 1.78370i | 0.228379i | 0.993459 | + | 0.114189i | \(0.0364271\pi\) | ||||
−0.993459 | + | 0.114189i | \(0.963573\pi\) | |||||||
\(62\) | 26.9486i | 3.42248i | ||||||||
\(63\) | 7.86916 | − | 1.03745i | 0.991421 | − | 0.130707i | ||||
\(64\) | −1.67406 | −0.209257 | ||||||||
\(65\) | −4.77268 | + | 8.02317i | −0.591978 | + | 0.995152i | ||||
\(66\) | −4.77180 | + | 4.03193i | −0.587368 | + | 0.496297i | ||||
\(67\) | − | 2.38316i | − | 0.291150i | −0.989347 | − | 0.145575i | \(-0.953497\pi\) | ||
0.989347 | − | 0.145575i | \(-0.0465032\pi\) | |||||||
\(68\) | 18.8473 | + | 10.8815i | 2.28557 | + | 1.31958i | ||||
\(69\) | 0.280322 | − | 0.778458i | 0.0337468 | − | 0.0937154i | ||||
\(70\) | 4.22169 | + | 14.3706i | 0.504588 | + | 1.71761i | ||||
\(71\) | 11.7260i | 1.39162i | 0.718223 | + | 0.695812i | \(0.244956\pi\) | ||||
−0.718223 | + | 0.695812i | \(0.755044\pi\) | |||||||
\(72\) | −17.1543 | + | 6.37697i | −2.02165 | + | 0.751534i | ||||
\(73\) | −4.52420 | + | 7.83614i | −0.529517 | + | 0.917150i | 0.469890 | + | 0.882725i | \(0.344293\pi\) |
−0.999407 | + | 0.0344256i | \(0.989040\pi\) | |||||||
\(74\) | −17.8051 | + | 10.2798i | −2.06980 | + | 1.19500i | ||||
\(75\) | −3.14550 | + | 8.06882i | −0.363211 | + | 0.931707i | ||||
\(76\) | −20.0362 | + | 11.5679i | −2.29831 | + | 1.32693i | ||||
\(77\) | 3.60226 | − | 1.10945i | 0.410516 | − | 0.126434i | ||||
\(78\) | 11.8156 | + | 13.9838i | 1.33786 | + | 1.58336i | ||||
\(79\) | 0.452236 | 0.0508806 | 0.0254403 | − | 0.999676i | \(-0.491901\pi\) | ||||
0.0254403 | + | 0.999676i | \(0.491901\pi\) | |||||||
\(80\) | −7.23947 | − | 12.9253i | −0.809398 | − | 1.44510i | ||||
\(81\) | 6.81454 | − | 5.87894i | 0.757172 | − | 0.653216i | ||||
\(82\) | −1.06597 | − | 1.84632i | −0.117717 | − | 0.203892i | ||||
\(83\) | −10.6524 | − | 6.15019i | −1.16926 | − | 0.675071i | −0.215752 | − | 0.976448i | \(-0.569220\pi\) |
−0.953505 | + | 0.301378i | \(0.902553\pi\) | |||||||
\(84\) | 20.1851 | + | 0.946848i | 2.20237 | + | 0.103310i | ||||
\(85\) | 0.143843 | − | 11.0349i | 0.0156019 | − | 1.19690i | ||||
\(86\) | −9.38732 | − | 5.41977i | −1.01226 | − | 0.584429i | ||||
\(87\) | −3.29231 | − | 1.18556i | −0.352973 | − | 0.127105i | ||||
\(88\) | −7.52652 | + | 4.34544i | −0.802329 | + | 0.463225i | ||||
\(89\) | −1.33067 | − | 2.30479i | −0.141051 | − | 0.244307i | 0.786842 | − | 0.617155i | \(-0.211715\pi\) |
−0.927893 | + | 0.372848i | \(0.878381\pi\) | |||||||
\(90\) | 12.9421 | + | 10.9969i | 1.36422 | + | 1.15918i | ||||
\(91\) | −3.25126 | − | 10.5565i | −0.340825 | − | 1.10662i | ||||
\(92\) | 1.05322 | − | 1.82423i | 0.109806 | − | 0.190189i | ||||
\(93\) | −3.26363 | − | 18.1455i | −0.338422 | − | 1.88160i | ||||
\(94\) | 12.5144i | 1.29076i | ||||||||
\(95\) | 10.0829 | + | 5.99791i | 1.03448 | + | 0.615372i | ||||
\(96\) | −7.79493 | + | 1.40199i | −0.795567 | + | 0.143090i | ||||
\(97\) | −4.69437 | + | 8.13089i | −0.476641 | + | 0.825567i | −0.999642 | − | 0.0267656i | \(-0.991479\pi\) |
0.523001 | + | 0.852332i | \(0.324813\pi\) | |||||||
\(98\) | −15.9604 | − | 7.70304i | −1.61224 | − | 0.778125i | ||||
\(99\) | 2.72474 | − | 3.29274i | 0.273847 | − | 0.330933i | ||||
\(100\) | −11.5179 | + | 18.8003i | −1.15179 | + | 1.88003i | ||||
\(101\) | 9.22577 | + | 15.9795i | 0.917998 | + | 1.59002i | 0.802452 | + | 0.596717i | \(0.203529\pi\) |
0.115546 | + | 0.993302i | \(0.463138\pi\) | |||||||
\(102\) | −20.3620 | − | 7.33232i | −2.01614 | − | 0.726008i | ||||
\(103\) | −9.34498 | + | 16.1860i | −0.920789 | + | 1.59485i | −0.122591 | + | 0.992457i | \(0.539120\pi\) |
−0.798198 | + | 0.602396i | \(0.794213\pi\) | |||||||
\(104\) | 12.7343 | + | 22.0565i | 1.24871 | + | 2.16282i | ||||
\(105\) | −4.58297 | − | 9.16496i | −0.447252 | − | 0.894408i | ||||
\(106\) | 5.90198 | − | 10.2225i | 0.573251 | − | 0.992900i | ||||
\(107\) | 0.440832 | + | 0.763543i | 0.0426168 | + | 0.0738145i | 0.886547 | − | 0.462639i | \(-0.153097\pi\) |
−0.843930 | + | 0.536453i | \(0.819764\pi\) | |||||||
\(108\) | 19.7245 | − | 11.6596i | 1.89799 | − | 1.12195i | ||||
\(109\) | 2.17023 | − | 3.75895i | 0.207870 | − | 0.360042i | −0.743173 | − | 0.669099i | \(-0.766680\pi\) |
0.951043 | + | 0.309057i | \(0.100013\pi\) | |||||||
\(110\) | 6.93135 | + | 4.12320i | 0.660878 | + | 0.393132i | ||||
\(111\) | 10.7439 | − | 9.07805i | 1.01977 | − | 0.861650i | ||||
\(112\) | 17.0878 | + | 3.90791i | 1.61464 | + | 0.369263i | ||||
\(113\) | −4.60460 | − | 7.97540i | −0.433164 | − | 0.750262i | 0.563980 | − | 0.825789i | \(-0.309270\pi\) |
−0.997144 | + | 0.0755263i | \(0.975936\pi\) | |||||||
\(114\) | 17.5737 | − | 14.8489i | 1.64593 | − | 1.39073i | ||||
\(115\) | −1.06807 | − | 0.0139225i | −0.0995978 | − | 0.00129828i | ||||
\(116\) | −7.71517 | − | 4.45436i | −0.716336 | − | 0.413577i | ||||
\(117\) | −9.64941 | − | 7.98488i | −0.892088 | − | 0.738203i | ||||
\(118\) | −0.512569 | −0.0471858 | ||||||||
\(119\) | 9.56821 | + | 8.88566i | 0.877116 | + | 0.814548i | ||||
\(120\) | 15.0123 | + | 18.2443i | 1.37043 | + | 1.66547i | ||||
\(121\) | −4.48520 | + | 7.76860i | −0.407746 | + | 0.706236i | ||||
\(122\) | − | 4.51581i | − | 0.408843i | ||||||
\(123\) | 0.941358 | + | 1.11410i | 0.0848794 | + | 0.100455i | ||||
\(124\) | − | 46.9375i | − | 4.21511i | ||||||
\(125\) | 11.1718 | + | 0.437080i | 0.999236 | + | 0.0390936i | ||||
\(126\) | −19.9225 | + | 2.62654i | −1.77484 | + | 0.233991i | ||||
\(127\) | 8.82849i | 0.783401i | 0.920093 | + | 0.391701i | \(0.128113\pi\) | ||||
−0.920093 | + | 0.391701i | \(0.871887\pi\) | |||||||
\(128\) | 13.3835 | 1.18294 | ||||||||
\(129\) | 6.97719 | + | 2.51247i | 0.614307 | + | 0.221211i | ||||
\(130\) | 12.0831 | − | 20.3124i | 1.05976 | − | 1.78151i | ||||
\(131\) | −1.10536 | + | 1.91453i | −0.0965753 | + | 0.167273i | −0.910265 | − | 0.414026i | \(-0.864122\pi\) |
0.813690 | + | 0.581300i | \(0.197456\pi\) | |||||||
\(132\) | 8.31124 | − | 7.02258i | 0.723401 | − | 0.611237i | ||||
\(133\) | −13.2665 | + | 4.08591i | −1.15035 | + | 0.354294i | ||||
\(134\) | 6.03350i | 0.521215i | ||||||||
\(135\) | −10.0462 | − | 5.83728i | −0.864639 | − | 0.502393i | ||||
\(136\) | −26.0741 | − | 15.0539i | −2.23584 | − | 1.29086i | ||||
\(137\) | 2.41786 | + | 4.18786i | 0.206572 | + | 0.357793i | 0.950632 | − | 0.310319i | \(-0.100436\pi\) |
−0.744061 | + | 0.668112i | \(0.767103\pi\) | |||||||
\(138\) | −0.709695 | + | 1.97084i | −0.0604133 | + | 0.167769i | ||||
\(139\) | 1.08200 | − | 0.624695i | 0.0917743 | − | 0.0529859i | −0.453410 | − | 0.891302i | \(-0.649793\pi\) |
0.545185 | + | 0.838316i | \(0.316459\pi\) | |||||||
\(140\) | −7.35308 | − | 25.0298i | −0.621448 | − | 2.11540i | ||||
\(141\) | −1.51556 | − | 8.42638i | −0.127633 | − | 0.709630i | ||||
\(142\) | − | 29.6870i | − | 2.49128i | ||||||
\(143\) | −5.15090 | − | 2.97387i | −0.430740 | − | 0.248688i | ||||
\(144\) | 18.6303 | − | 6.92568i | 1.55253 | − | 0.577140i | ||||
\(145\) | −0.0588822 | + | 4.51715i | −0.00488990 | + | 0.375129i | ||||
\(146\) | 11.4540 | − | 19.8389i | 0.947938 | − | 1.64188i | ||||
\(147\) | 11.6796 | + | 3.25385i | 0.963315 | + | 0.268373i | ||||
\(148\) | 31.0119 | − | 17.9047i | 2.54916 | − | 1.47176i | ||||
\(149\) | 2.98242 | + | 1.72190i | 0.244329 | + | 0.141063i | 0.617165 | − | 0.786834i | \(-0.288281\pi\) |
−0.372836 | + | 0.927897i | \(0.621615\pi\) | |||||||
\(150\) | 7.96351 | − | 20.4280i | 0.650218 | − | 1.66794i | ||||
\(151\) | 8.51168 | + | 14.7427i | 0.692671 | + | 1.19974i | 0.970960 | + | 0.239244i | \(0.0768995\pi\) |
−0.278288 | + | 0.960498i | \(0.589767\pi\) | |||||||
\(152\) | 27.7188 | − | 16.0035i | 2.24829 | − | 1.29805i | ||||
\(153\) | 14.5985 | + | 2.47117i | 1.18021 | + | 0.199782i | ||||
\(154\) | −9.11990 | + | 2.80882i | −0.734903 | + | 0.226341i | ||||
\(155\) | −20.7662 | + | 11.6311i | −1.66798 | + | 0.934235i | ||||
\(156\) | −20.5797 | − | 24.3562i | −1.64770 | − | 1.95006i | ||||
\(157\) | 4.68164 | 0.373636 | 0.186818 | − | 0.982395i | \(-0.440183\pi\) | ||||
0.186818 | + | 0.982395i | \(0.440183\pi\) | |||||||
\(158\) | −1.14493 | −0.0910861 | ||||||||
\(159\) | −2.73601 | + | 7.59796i | −0.216980 | + | 0.602558i | ||||
\(160\) | 4.99649 | + | 8.92072i | 0.395008 | + | 0.705245i | ||||
\(161\) | 0.860043 | − | 0.926106i | 0.0677809 | − | 0.0729874i | ||||
\(162\) | −17.2525 | + | 14.8838i | −1.35548 | + | 1.16938i | ||||
\(163\) | −13.9563 | + | 8.05767i | −1.09314 | + | 0.631125i | −0.934411 | − | 0.356197i | \(-0.884073\pi\) |
−0.158730 | + | 0.987322i | \(0.550740\pi\) | |||||||
\(164\) | 1.85665 | + | 3.21581i | 0.144980 | + | 0.251112i | ||||
\(165\) | −5.16647 | − | 1.93688i | −0.402209 | − | 0.150786i | ||||
\(166\) | 26.9689 | + | 15.5705i | 2.09320 | + | 1.20851i | ||||
\(167\) | −9.83837 | + | 5.68018i | −0.761316 | + | 0.439546i | −0.829768 | − | 0.558108i | \(-0.811527\pi\) |
0.0684521 | + | 0.997654i | \(0.478194\pi\) | |||||||
\(168\) | −27.9249 | − | 1.30991i | −2.15445 | − | 0.101062i | ||||
\(169\) | −2.21497 | + | 3.83644i | −0.170382 | + | 0.295111i | ||||
\(170\) | −0.364169 | + | 27.9372i | −0.0279305 | + | 2.14269i | ||||
\(171\) | −10.0347 | + | 12.1266i | −0.767376 | + | 0.927343i | ||||
\(172\) | 16.3503 | + | 9.43983i | 1.24670 | + | 0.719780i | ||||
\(173\) | − | 13.5586i | − | 1.03084i | −0.856938 | − | 0.515420i | \(-0.827636\pi\) | ||
0.856938 | − | 0.515420i | \(-0.172364\pi\) | |||||||
\(174\) | 8.33521 | + | 3.00149i | 0.631890 | + | 0.227543i | ||||
\(175\) | −9.25163 | + | 9.45555i | −0.699357 | + | 0.714772i | ||||
\(176\) | 8.17414 | − | 4.71934i | 0.616149 | − | 0.355734i | ||||
\(177\) | 0.345132 | − | 0.0620749i | 0.0259417 | − | 0.00466584i | ||||
\(178\) | 3.36888 | + | 5.83507i | 0.252508 | + | 0.437357i | ||||
\(179\) | −0.777342 | − | 0.448799i | −0.0581013 | − | 0.0335448i | 0.470668 | − | 0.882310i | \(-0.344013\pi\) |
−0.528769 | + | 0.848766i | \(0.677346\pi\) | |||||||
\(180\) | −22.5418 | − | 19.1538i | −1.68017 | − | 1.42764i | ||||
\(181\) | − | 13.4784i | − | 1.00184i | −0.865493 | − | 0.500921i | \(-0.832995\pi\) | ||
0.865493 | − | 0.500921i | \(-0.167005\pi\) | |||||||
\(182\) | 8.23127 | + | 26.7260i | 0.610143 | + | 1.98106i | ||||
\(183\) | 0.546889 | + | 3.04066i | 0.0404272 | + | 0.224772i | ||||
\(184\) | −1.45707 | + | 2.52371i | −0.107416 | + | 0.186051i | ||||
\(185\) | −15.6062 | − | 9.28353i | −1.14739 | − | 0.682539i | ||||
\(186\) | 8.26258 | + | 45.9393i | 0.605842 | + | 3.36843i | ||||
\(187\) | 7.03113 | 0.514167 | ||||||||
\(188\) | − | 21.7968i | − | 1.58969i | ||||||
\(189\) | 13.0964 | − | 4.18127i | 0.952627 | − | 0.304142i | ||||
\(190\) | −25.5269 | − | 15.1850i | −1.85192 | − | 1.10164i | ||||
\(191\) | 1.97538i | 0.142934i | 0.997443 | + | 0.0714668i | \(0.0227680\pi\) | ||||
−0.997443 | + | 0.0714668i | \(0.977232\pi\) | |||||||
\(192\) | −2.85376 | + | 0.513273i | −0.205952 | + | 0.0370423i | ||||
\(193\) | 16.5768i | 1.19322i | 0.802531 | + | 0.596611i | \(0.203486\pi\) | ||||
−0.802531 | + | 0.596611i | \(0.796514\pi\) | |||||||
\(194\) | 11.8848 | − | 20.5851i | 0.853280 | − | 1.47792i | ||||
\(195\) | −5.67604 | + | 15.1404i | −0.406470 | + | 1.08423i | ||||
\(196\) | 27.7988 | + | 13.4167i | 1.98563 | + | 0.958335i | ||||
\(197\) | 24.5924 | 1.75214 | 0.876069 | − | 0.482186i | \(-0.160157\pi\) | ||||
0.876069 | + | 0.482186i | \(0.160157\pi\) | |||||||
\(198\) | −6.89827 | + | 8.33629i | −0.490239 | + | 0.592434i | ||||
\(199\) | 0.627348 | + | 0.362200i | 0.0444715 | + | 0.0256757i | 0.522071 | − | 0.852902i | \(-0.325160\pi\) |
−0.477599 | + | 0.878578i | \(0.658493\pi\) | |||||||
\(200\) | 15.9344 | − | 26.0090i | 1.12673 | − | 1.83912i | ||||
\(201\) | −0.730689 | − | 4.06257i | −0.0515388 | − | 0.286552i | ||||
\(202\) | −23.3570 | − | 40.4556i | −1.64339 | − | 2.84644i | ||||
\(203\) | −3.91676 | − | 3.63736i | −0.274902 | − | 0.255293i | ||||
\(204\) | 35.4653 | + | 12.7710i | 2.48307 | + | 0.894148i | ||||
\(205\) | 0.962666 | − | 1.61830i | 0.0672355 | − | 0.113027i | ||||
\(206\) | 23.6589 | − | 40.9783i | 1.64839 | − | 2.85510i | ||||
\(207\) | 0.239185 | − | 1.41298i | 0.0166245 | − | 0.0982092i | ||||
\(208\) | −13.8301 | − | 23.9544i | −0.958944 | − | 1.66094i | ||||
\(209\) | −3.73732 | + | 6.47322i | −0.258516 | + | 0.447762i | ||||
\(210\) | 11.6028 | + | 23.2031i | 0.800668 | + | 1.60116i | ||||
\(211\) | 5.83962 | + | 10.1145i | 0.402016 | + | 0.696312i | 0.993969 | − | 0.109660i | \(-0.0349763\pi\) |
−0.591953 | + | 0.805972i | \(0.701643\pi\) | |||||||
\(212\) | −10.2797 | + | 17.8050i | −0.706013 | + | 1.22285i | ||||
\(213\) | 3.59526 | + | 19.9894i | 0.246343 | + | 1.36965i | ||||
\(214\) | −1.11606 | − | 1.93307i | −0.0762924 | − | 0.132142i | ||||
\(215\) | 0.124785 | − | 9.57291i | 0.00851029 | − | 0.652867i | ||||
\(216\) | −27.2876 | + | 16.1304i | −1.85669 | + | 1.09753i | ||||
\(217\) | 6.27856 | − | 27.4537i | 0.426216 | − | 1.86368i | ||||
\(218\) | −5.49441 | + | 9.51659i | −0.372128 | + | 0.644545i | ||||
\(219\) | −5.30979 | + | 14.7454i | −0.358802 | + | 0.996401i | ||||
\(220\) | −12.0726 | − | 7.18154i | −0.813935 | − | 0.484179i | ||||
\(221\) | − | 20.6048i | − | 1.38603i | ||||||
\(222\) | −27.2005 | + | 22.9831i | −1.82558 | + | 1.54252i | ||||
\(223\) | 13.2349 | − | 22.9235i | 0.886275 | − | 1.53507i | 0.0420295 | − | 0.999116i | \(-0.486618\pi\) |
0.844245 | − | 0.535957i | \(-0.180049\pi\) | |||||||
\(224\) | −11.7935 | − | 2.69714i | −0.787989 | − | 0.180210i | ||||
\(225\) | −2.88819 | + | 14.7193i | −0.192546 | + | 0.981288i | ||||
\(226\) | 11.6575 | + | 20.1915i | 0.775448 | + | 1.34312i | ||||
\(227\) | −6.71384 | + | 3.87624i | −0.445613 | + | 0.257275i | −0.705976 | − | 0.708236i | \(-0.749491\pi\) |
0.260363 | + | 0.965511i | \(0.416158\pi\) | |||||||
\(228\) | −30.6088 | + | 25.8629i | −2.02712 | + | 1.71281i | ||||
\(229\) | −16.0456 | − | 9.26392i | −1.06032 | − | 0.612177i | −0.134800 | − | 0.990873i | \(-0.543039\pi\) |
−0.925521 | + | 0.378696i | \(0.876373\pi\) | |||||||
\(230\) | 2.70405 | + | 0.0352479i | 0.178299 | + | 0.00232418i | ||||
\(231\) | 5.80060 | − | 2.99575i | 0.381651 | − | 0.197106i | ||||
\(232\) | 10.6735 | + | 6.16233i | 0.700748 | + | 0.404577i | ||||
\(233\) | 4.75564 | + | 8.23700i | 0.311552 | + | 0.539624i | 0.978699 | − | 0.205302i | \(-0.0658178\pi\) |
−0.667146 | + | 0.744927i | \(0.732484\pi\) | |||||||
\(234\) | 24.4296 | + | 20.2155i | 1.59701 | + | 1.32153i | ||||
\(235\) | −9.64337 | + | 5.40125i | −0.629064 | + | 0.352339i | ||||
\(236\) | 0.892762 | 0.0581139 | ||||||||
\(237\) | 0.770926 | − | 0.138658i | 0.0500770 | − | 0.00900679i | ||||
\(238\) | −24.2240 | − | 22.4960i | −1.57021 | − | 1.45820i | ||||
\(239\) | −17.6506 | + | 10.1906i | −1.14173 | + | 0.659175i | −0.946857 | − | 0.321654i | \(-0.895761\pi\) |
−0.194868 | + | 0.980829i | \(0.562428\pi\) | |||||||
\(240\) | −16.3041 | − | 19.8141i | −1.05242 | − | 1.27900i | ||||
\(241\) | −7.82942 | + | 4.52032i | −0.504337 | + | 0.291179i | −0.730503 | − | 0.682910i | \(-0.760714\pi\) |
0.226166 | + | 0.974089i | \(0.427381\pi\) | |||||||
\(242\) | 11.3553 | − | 19.6679i | 0.729944 | − | 1.26430i | ||||
\(243\) | 9.81423 | − | 12.1112i | 0.629583 | − | 0.776933i | ||||
\(244\) | 7.86537i | 0.503529i | ||||||||
\(245\) | −0.952715 | − | 15.6235i | −0.0608667 | − | 0.998146i | ||||
\(246\) | −2.38325 | − | 2.82058i | −0.151951 | − | 0.179834i | ||||
\(247\) | 18.9699 | + | 10.9523i | 1.20702 | + | 0.696875i | ||||
\(248\) | 64.9352i | 4.12339i | ||||||||
\(249\) | −20.0449 | − | 7.21812i | −1.27029 | − | 0.457430i | ||||
\(250\) | −28.2838 | − | 1.10656i | −1.78883 | − | 0.0699852i | ||||
\(251\) | −4.81421 | −0.303871 | −0.151935 | − | 0.988390i | \(-0.548551\pi\) | ||||
−0.151935 | + | 0.988390i | \(0.548551\pi\) | |||||||
\(252\) | 34.6998 | − | 4.57475i | 2.18588 | − | 0.288182i | ||||
\(253\) | − | 0.680543i | − | 0.0427853i | ||||||
\(254\) | − | 22.3512i | − | 1.40244i | ||||||
\(255\) | −3.13814 | − | 18.8553i | −0.196518 | − | 1.18076i | ||||
\(256\) | −30.5351 | −1.90844 | ||||||||
\(257\) | −0.228355 | − | 0.131841i | −0.0142444 | − | 0.00822401i | 0.492861 | − | 0.870108i | \(-0.335951\pi\) |
−0.507105 | + | 0.861884i | \(0.669284\pi\) | |||||||
\(258\) | −17.6643 | − | 6.36088i | −1.09973 | − | 0.396011i | ||||
\(259\) | 20.5338 | − | 6.32416i | 1.27591 | − | 0.392964i | ||||
\(260\) | −21.0456 | + | 35.3789i | −1.30519 | + | 2.19411i | ||||
\(261\) | −5.97589 | − | 1.01158i | −0.369899 | − | 0.0626151i | ||||
\(262\) | 2.79845 | − | 4.84705i | 0.172889 | − | 0.299452i | ||||
\(263\) | 4.69057 | + | 8.12431i | 0.289233 | + | 0.500966i | 0.973627 | − | 0.228146i | \(-0.0732664\pi\) |
−0.684394 | + | 0.729113i | \(0.739933\pi\) | |||||||
\(264\) | −11.4981 | + | 9.71532i | −0.707659 | + | 0.597936i | ||||
\(265\) | 10.4246 | + | 0.135888i | 0.640380 | + | 0.00834752i | ||||
\(266\) | 33.5870 | − | 10.3444i | 2.05935 | − | 0.634255i | ||||
\(267\) | −2.97505 | − | 3.52097i | −0.182070 | − | 0.215480i | ||||
\(268\) | − | 10.5088i | − | 0.641926i | ||||||
\(269\) | 5.85382 | − | 10.1391i | 0.356914 | − | 0.618192i | −0.630530 | − | 0.776165i | \(-0.717162\pi\) |
0.987444 | + | 0.157972i | \(0.0504957\pi\) | |||||||
\(270\) | 25.4341 | + | 14.7783i | 1.54787 | + | 0.899381i | ||||
\(271\) | 9.67252 | − | 5.58443i | 0.587564 | − | 0.339230i | −0.176570 | − | 0.984288i | \(-0.556500\pi\) |
0.764134 | + | 0.645058i | \(0.223167\pi\) | |||||||
\(272\) | 28.3177 | + | 16.3492i | 1.71701 | + | 0.991317i | ||||
\(273\) | −8.77908 | − | 16.9987i | −0.531334 | − | 1.02881i | ||||
\(274\) | −6.12134 | − | 10.6025i | −0.369804 | − | 0.640519i | ||||
\(275\) | −0.185674 | + | 7.12077i | −0.0111966 | + | 0.429399i | ||||
\(276\) | 1.23610 | − | 3.43268i | 0.0744047 | − | 0.206623i | ||||
\(277\) | −8.68920 | + | 5.01671i | −0.522083 | + | 0.301425i | −0.737787 | − | 0.675034i | \(-0.764129\pi\) |
0.215703 | + | 0.976459i | \(0.430796\pi\) | |||||||
\(278\) | −2.73933 | + | 1.58155i | −0.164294 | + | 0.0948551i | ||||
\(279\) | −11.1270 | − | 29.9320i | −0.666156 | − | 1.79198i | ||||
\(280\) | 10.1725 | + | 34.6272i | 0.607925 | + | 2.06937i | ||||
\(281\) | −11.3034 | − | 6.52601i | −0.674303 | − | 0.389309i | 0.123402 | − | 0.992357i | \(-0.460620\pi\) |
−0.797705 | + | 0.603048i | \(0.793953\pi\) | |||||||
\(282\) | 3.83696 | + | 21.3332i | 0.228488 | + | 1.27037i | ||||
\(283\) | 13.3399 | 0.792974 | 0.396487 | − | 0.918040i | \(-0.370229\pi\) | ||||
0.396487 | + | 0.918040i | \(0.370229\pi\) | |||||||
\(284\) | 51.7071i | 3.06825i | ||||||||
\(285\) | 19.0272 | + | 7.13317i | 1.12707 | + | 0.422533i | ||||
\(286\) | 13.0406 | + | 7.52901i | 0.771108 | + | 0.445200i | ||||
\(287\) | 0.655790 | + | 2.12927i | 0.0387101 | + | 0.125687i | ||||
\(288\) | −12.8581 | + | 4.77993i | −0.757674 | + | 0.281660i | ||||
\(289\) | 3.67897 | + | 6.37216i | 0.216410 | + | 0.374833i | ||||
\(290\) | 0.149073 | − | 11.4361i | 0.00875388 | − | 0.671554i | ||||
\(291\) | −5.50951 | + | 15.3000i | −0.322973 | + | 0.896903i | ||||
\(292\) | −19.9499 | + | 34.5542i | −1.16748 | + | 2.02213i | ||||
\(293\) | 3.97741 | − | 2.29636i | 0.232363 | − | 0.134155i | −0.379299 | − | 0.925274i | \(-0.623835\pi\) |
0.611662 | + | 0.791120i | \(0.290501\pi\) | |||||||
\(294\) | −29.5694 | − | 8.23783i | −1.72452 | − | 0.480440i | ||||
\(295\) | −0.221227 | − | 0.394978i | −0.0128803 | − | 0.0229965i | ||||
\(296\) | −42.9031 | + | 24.7701i | −2.49369 | + | 1.43973i | ||||
\(297\) | 3.63529 | − | 6.44854i | 0.210941 | − | 0.374182i | ||||
\(298\) | −7.55063 | − | 4.35936i | −0.437396 | − | 0.252531i | ||||
\(299\) | −1.99434 | −0.115336 | ||||||||
\(300\) | −13.8704 | + | 35.5802i | −0.800806 | + | 2.05422i | ||||
\(301\) | 8.30053 | + | 7.70842i | 0.478435 | + | 0.444306i | ||||
\(302\) | −21.5492 | − | 37.3243i | −1.24002 | − | 2.14777i | ||||
\(303\) | 20.6265 | + | 24.4115i | 1.18496 | + | 1.40241i | ||||
\(304\) | −30.1039 | + | 17.3805i | −1.72658 | + | 0.996840i | ||||
\(305\) | 3.47981 | − | 1.94904i | 0.199253 | − | 0.111602i | ||||
\(306\) | −36.9592 | − | 6.25631i | −2.11281 | − | 0.357649i | ||||
\(307\) | −20.6137 | −1.17649 | −0.588244 | − | 0.808683i | \(-0.700181\pi\) | ||||
−0.588244 | + | 0.808683i | \(0.700181\pi\) | |||||||
\(308\) | 15.8845 | − | 4.89223i | 0.905103 | − | 0.278761i | ||||
\(309\) | −10.9677 | + | 30.4574i | −0.623929 | + | 1.73266i | ||||
\(310\) | 52.5741 | − | 29.4467i | 2.98601 | − | 1.67246i | ||||
\(311\) | −11.5614 | −0.655584 | −0.327792 | − | 0.944750i | \(-0.606305\pi\) | ||||
−0.327792 | + | 0.944750i | \(0.606305\pi\) | |||||||
\(312\) | 28.4708 | + | 33.6953i | 1.61184 | + | 1.90762i | ||||
\(313\) | 29.0404 | 1.64146 | 0.820731 | − | 0.571315i | \(-0.193566\pi\) | ||||
0.820731 | + | 0.571315i | \(0.193566\pi\) | |||||||
\(314\) | −11.8526 | −0.668881 | ||||||||
\(315\) | −10.6226 | − | 14.2183i | −0.598515 | − | 0.801111i | ||||
\(316\) | 1.99418 | 0.112181 | ||||||||
\(317\) | −21.6855 | −1.21798 | −0.608988 | − | 0.793179i | \(-0.708424\pi\) | ||||
−0.608988 | + | 0.793179i | \(0.708424\pi\) | |||||||
\(318\) | 6.92682 | − | 19.2359i | 0.388437 | − | 1.07870i | ||||
\(319\) | −2.87820 | −0.161148 | ||||||||
\(320\) | 1.82924 | + | 3.26591i | 0.102257 | + | 0.182570i | ||||
\(321\) | 0.985590 | + | 1.16645i | 0.0550103 | + | 0.0651048i | ||||
\(322\) | −2.17739 | + | 2.34464i | −0.121341 | + | 0.130662i | ||||
\(323\) | −25.8944 | −1.44080 | ||||||||
\(324\) | 30.0494 | − | 25.9237i | 1.66941 | − | 1.44021i | ||||
\(325\) | 20.8675 | + | 0.544119i | 1.15752 | + | 0.0301823i | ||||
\(326\) | 35.3334 | − | 20.3997i | 1.95693 | − | 1.12984i | ||||
\(327\) | 2.54707 | − | 7.07327i | 0.140854 | − | 0.391153i | ||||
\(328\) | −2.56856 | − | 4.44888i | −0.141825 | − | 0.245648i | ||||
\(329\) | 2.91563 | − | 12.7489i | 0.160744 | − | 0.702870i | ||||
\(330\) | 13.0800 | + | 4.90362i | 0.720033 | + | 0.269936i | ||||
\(331\) | 5.95239 | 0.327173 | 0.163587 | − | 0.986529i | \(-0.447694\pi\) | ||||
0.163587 | + | 0.986529i | \(0.447694\pi\) | |||||||
\(332\) | −46.9729 | − | 27.1198i | −2.57797 | − | 1.48839i | ||||
\(333\) | 15.5317 | − | 18.7695i | 0.851133 | − | 1.02856i | ||||
\(334\) | 24.9080 | − | 14.3806i | 1.36290 | − | 0.786873i | ||||
\(335\) | −4.64931 | + | 2.60408i | −0.254019 | + | 0.142276i | ||||
\(336\) | 30.3277 | + | 1.42262i | 1.65451 | + | 0.0776102i | ||||
\(337\) | 2.43132 | − | 1.40373i | 0.132443 | − | 0.0764658i | −0.432315 | − | 0.901723i | \(-0.642303\pi\) |
0.564757 | + | 0.825257i | \(0.308970\pi\) | |||||||
\(338\) | 5.60768 | − | 9.71279i | 0.305018 | − | 0.528306i | ||||
\(339\) | −10.2947 | − | 12.1839i | −0.559134 | − | 0.661736i | ||||
\(340\) | 0.634288 | − | 48.6594i | 0.0343991 | − | 2.63893i | ||||
\(341\) | −7.58222 | − | 13.1328i | −0.410600 | − | 0.711181i | ||||
\(342\) | 25.4051 | − | 30.7011i | 1.37375 | − | 1.66012i | ||||
\(343\) | 14.4648 | + | 11.5659i | 0.781026 | + | 0.624499i | ||||
\(344\) | −22.6196 | − | 13.0594i | −1.21957 | − | 0.704118i | ||||
\(345\) | −1.82500 | + | 0.303741i | −0.0982548 | + | 0.0163529i | ||||
\(346\) | 34.3265i | 1.84540i | ||||||||
\(347\) | 9.89128 | 0.530992 | 0.265496 | − | 0.964112i | \(-0.414464\pi\) | ||||
0.265496 | + | 0.964112i | \(0.414464\pi\) | |||||||
\(348\) | −14.5178 | − | 5.22782i | −0.778233 | − | 0.280241i | ||||
\(349\) | 0.279669 | + | 0.161467i | 0.0149703 | + | 0.00864312i | 0.507466 | − | 0.861671i | \(-0.330582\pi\) |
−0.492496 | + | 0.870315i | \(0.663915\pi\) | |||||||
\(350\) | 23.4225 | − | 23.9388i | 1.25199 | − | 1.27958i | ||||
\(351\) | −18.8975 | − | 10.6533i | −1.00868 | − | 0.568629i | ||||
\(352\) | −5.64157 | + | 3.25716i | −0.300697 | + | 0.173607i | ||||
\(353\) | 14.7971 | − | 8.54312i | 0.787571 | − | 0.454704i | −0.0515356 | − | 0.998671i | \(-0.516412\pi\) |
0.839107 | + | 0.543967i | \(0.183078\pi\) | |||||||
\(354\) | −0.873776 | + | 0.157156i | −0.0464407 | + | 0.00835275i | ||||
\(355\) | 22.8763 | − | 12.8130i | 1.21415 | − | 0.680045i | ||||
\(356\) | −5.86771 | − | 10.1632i | −0.310988 | − | 0.538647i | ||||
\(357\) | 19.0353 | + | 12.2137i | 1.00745 | + | 0.646418i | ||||
\(358\) | 1.96801 | + | 1.13623i | 0.104013 | + | 0.0600517i | ||||
\(359\) | −17.2188 | + | 9.94126i | −0.908772 | + | 0.524680i | −0.880036 | − | 0.474907i | \(-0.842482\pi\) |
−0.0287362 | + | 0.999587i | \(0.509148\pi\) | |||||||
\(360\) | 31.1853 | + | 26.4981i | 1.64361 | + | 1.39657i | ||||
\(361\) | 4.26388 | − | 7.38525i | 0.224415 | − | 0.388698i | ||||
\(362\) | 34.1235i | 1.79349i | ||||||||
\(363\) | −5.26403 | + | 14.6183i | −0.276290 | + | 0.767262i | ||||
\(364\) | −14.3367 | − | 46.5497i | −0.751449 | − | 2.43987i | ||||
\(365\) | 20.2311 | + | 0.263718i | 1.05894 | + | 0.0138036i | ||||
\(366\) | −1.38457 | − | 7.69810i | −0.0723726 | − | 0.402386i | ||||
\(367\) | 15.6841 | + | 27.1656i | 0.818702 | + | 1.41803i | 0.906639 | + | 0.421907i | \(0.138639\pi\) |
−0.0879374 | + | 0.996126i | \(0.528028\pi\) | |||||||
\(368\) | 1.58244 | − | 2.74087i | 0.0824904 | − | 0.142878i | ||||
\(369\) | 1.94632 | + | 1.61058i | 0.101321 | + | 0.0838433i | ||||
\(370\) | 39.5104 | + | 23.5033i | 2.05405 | + | 1.22188i | ||||
\(371\) | −8.39425 | + | 9.03905i | −0.435808 | + | 0.469284i | ||||
\(372\) | −14.3913 | − | 80.0143i | −0.746152 | − | 4.14855i | ||||
\(373\) | −22.1887 | − | 12.8107i | −1.14889 | − | 0.663312i | −0.200273 | − | 0.979740i | \(-0.564183\pi\) |
−0.948616 | + | 0.316428i | \(0.897516\pi\) | |||||||
\(374\) | −17.8008 | −0.920459 | ||||||||
\(375\) | 19.1785 | − | 2.68023i | 0.990375 | − | 0.138407i | ||||
\(376\) | 30.1545i | 1.55510i | ||||||||
\(377\) | 8.43460i | 0.434404i | ||||||||
\(378\) | −33.1565 | + | 10.5858i | −1.70539 | + | 0.544474i | ||||
\(379\) | −5.00587 | −0.257134 | −0.128567 | − | 0.991701i | \(-0.541038\pi\) | ||||
−0.128567 | + | 0.991701i | \(0.541038\pi\) | |||||||
\(380\) | 44.4613 | + | 26.4483i | 2.28081 | + | 1.35677i | ||||
\(381\) | 2.70685 | + | 15.0499i | 0.138676 | + | 0.771030i | ||||
\(382\) | − | 5.00111i | − | 0.255879i | ||||||
\(383\) | −19.9749 | − | 11.5325i | −1.02067 | − | 0.589284i | −0.106372 | − | 0.994326i | \(-0.533923\pi\) |
−0.914298 | + | 0.405043i | \(0.867257\pi\) | |||||||
\(384\) | 22.8148 | − | 4.10343i | 1.16426 | − | 0.209403i | ||||
\(385\) | −6.10061 | − | 5.81535i | −0.310916 | − | 0.296378i | ||||
\(386\) | − | 41.9677i | − | 2.13610i | ||||||
\(387\) | 12.6643 | + | 2.14377i | 0.643764 | + | 0.108974i | ||||
\(388\) | −20.7003 | + | 35.8539i | −1.05090 | + | 1.82021i | ||||
\(389\) | 14.5687 | − | 8.41123i | 0.738661 | − | 0.426466i | −0.0829213 | − | 0.996556i | \(-0.526425\pi\) |
0.821582 | + | 0.570090i | \(0.193092\pi\) | |||||||
\(390\) | 14.3701 | − | 38.3312i | 0.727659 | − | 1.94098i | ||||
\(391\) | 2.04175 | − | 1.17880i | 0.103256 | − | 0.0596146i | ||||
\(392\) | −38.4580 | − | 18.5612i | −1.94242 | − | 0.937481i | ||||
\(393\) | −1.29729 | + | 3.60260i | −0.0654397 | + | 0.181727i | ||||
\(394\) | −62.2611 | −3.13667 | ||||||||
\(395\) | −0.494158 | − | 0.882268i | −0.0248638 | − | 0.0443917i | ||||
\(396\) | 12.0150 | − | 14.5196i | 0.603776 | − | 0.729639i | ||||
\(397\) | −13.0997 | − | 22.6893i | −0.657453 | − | 1.13874i | −0.981273 | − | 0.192623i | \(-0.938301\pi\) |
0.323820 | − | 0.946119i | \(-0.395033\pi\) | |||||||
\(398\) | −1.58827 | − | 0.916987i | −0.0796127 | − | 0.0459644i | ||||
\(399\) | −21.3626 | + | 11.0328i | −1.06947 | + | 0.552332i | ||||
\(400\) | −17.3055 | + | 28.2470i | −0.865273 | + | 1.41235i | ||||
\(401\) | 31.4306 | + | 18.1465i | 1.56957 | + | 0.906192i | 0.996219 | + | 0.0868828i | \(0.0276906\pi\) |
0.573352 | + | 0.819309i | \(0.305643\pi\) | |||||||
\(402\) | 1.84990 | + | 10.2853i | 0.0922645 | + | 0.512983i | ||||
\(403\) | −38.4858 | + | 22.2198i | −1.91711 | + | 1.10685i | ||||
\(404\) | 40.6819 | + | 70.4631i | 2.02400 | + | 3.50567i | ||||
\(405\) | −18.9155 | − | 6.87058i | −0.939917 | − | 0.341402i | ||||
\(406\) | 9.91612 | + | 9.20876i | 0.492129 | + | 0.457023i | ||||
\(407\) | 5.78460 | − | 10.0192i | 0.286732 | − | 0.496634i | ||||
\(408\) | −49.0641 | − | 17.6679i | −2.42903 | − | 0.874691i | ||||
\(409\) | 2.42575i | 0.119945i | 0.998200 | + | 0.0599727i | \(0.0191014\pi\) | ||||
−0.998200 | + | 0.0599727i | \(0.980899\pi\) | |||||||
\(410\) | −2.43720 | + | 4.09708i | −0.120365 | + | 0.202340i | ||||
\(411\) | 5.40574 | + | 6.39770i | 0.266645 | + | 0.315575i | ||||
\(412\) | −41.2076 | + | 71.3736i | −2.03015 | + | 3.51633i | ||||
\(413\) | 0.522175 | + | 0.119420i | 0.0256946 | + | 0.00587626i | ||||
\(414\) | −0.605548 | + | 3.57728i | −0.0297611 | + | 0.175813i | ||||
\(415\) | −0.358497 | + | 27.5021i | −0.0175979 | + | 1.35003i | ||||
\(416\) | 9.54516 | + | 16.5327i | 0.467990 | + | 0.810582i | ||||
\(417\) | 1.65295 | − | 1.39666i | 0.0809455 | − | 0.0683949i | ||||
\(418\) | 9.46183 | − | 16.3884i | 0.462793 | − | 0.801582i | ||||
\(419\) | 7.51552 | + | 13.0173i | 0.367157 | + | 0.635935i | 0.989120 | − | 0.147112i | \(-0.0469978\pi\) |
−0.621963 | + | 0.783047i | \(0.713664\pi\) | |||||||
\(420\) | −20.2090 | − | 40.4137i | −0.986099 | − | 1.97199i | ||||
\(421\) | 11.1388 | − | 19.2929i | 0.542871 | − | 0.940281i | −0.455866 | − | 0.890048i | \(-0.650671\pi\) |
0.998738 | − | 0.0502323i | \(-0.0159962\pi\) | |||||||
\(422\) | −14.7843 | − | 25.6071i | −0.719687 | − | 1.24653i | ||||
\(423\) | −5.16714 | − | 13.8998i | −0.251235 | − | 0.675829i | ||||
\(424\) | 14.2214 | − | 24.6321i | 0.690650 | − | 1.19624i | ||||
\(425\) | −21.6852 | + | 11.7772i | −1.05188 | + | 0.571278i | ||||
\(426\) | −9.10218 | − | 50.6074i | −0.441002 | − | 2.45194i | ||||
\(427\) | −1.05210 | + | 4.60044i | −0.0509149 | + | 0.222631i | ||||
\(428\) | 1.94389 | + | 3.36691i | 0.0939614 | + | 0.162746i | ||||
\(429\) | −9.69253 | − | 3.49027i | −0.467960 | − | 0.168512i | ||||
\(430\) | −0.315921 | + | 24.2359i | −0.0152351 | + | 1.16876i | ||||
\(431\) | 16.8829 | + | 9.74735i | 0.813221 | + | 0.469514i | 0.848073 | − | 0.529879i | \(-0.177763\pi\) |
−0.0348520 | + | 0.999392i | \(0.511096\pi\) | |||||||
\(432\) | 29.6356 | − | 17.5183i | 1.42584 | − | 0.842851i | ||||
\(433\) | 16.9416 | 0.814161 | 0.407080 | − | 0.913392i | \(-0.366547\pi\) | ||||
0.407080 | + | 0.913392i | \(0.366547\pi\) | |||||||
\(434\) | −15.8955 | + | 69.5050i | −0.763010 | + | 3.33634i | ||||
\(435\) | 1.28460 | + | 7.71843i | 0.0615920 | + | 0.370070i | ||||
\(436\) | 9.56983 | − | 16.5754i | 0.458312 | − | 0.793819i | ||||
\(437\) | 2.50632i | 0.119893i | ||||||||
\(438\) | 13.4429 | − | 37.3311i | 0.642326 | − | 1.78375i | ||||
\(439\) | − | 1.65776i | − | 0.0791207i | −0.999217 | − | 0.0395604i | \(-0.987404\pi\) | ||
0.999217 | − | 0.0395604i | \(-0.0125957\pi\) | |||||||
\(440\) | 16.7017 | + | 9.93523i | 0.796223 | + | 0.473643i | ||||
\(441\) | 20.9078 | + | 1.96582i | 0.995609 | + | 0.0936106i | ||||
\(442\) | 52.1655i | 2.48126i | ||||||||
\(443\) | −36.0899 | −1.71468 | −0.857341 | − | 0.514749i | \(-0.827885\pi\) | ||||
−0.857341 | + | 0.514749i | \(0.827885\pi\) | |||||||
\(444\) | 47.3762 | − | 40.0305i | 2.24837 | − | 1.89976i | ||||
\(445\) | −3.04239 | + | 5.11444i | −0.144223 | + | 0.242448i | ||||
\(446\) | −33.5070 | + | 58.0359i | −1.58660 | + | 2.74808i | ||||
\(447\) | 5.61206 | + | 2.02089i | 0.265441 | + | 0.0955850i | ||||
\(448\) | −4.31766 | − | 0.987434i | −0.203990 | − | 0.0466519i | ||||
\(449\) | − | 26.4059i | − | 1.24617i | −0.782154 | − | 0.623086i | \(-0.785879\pi\) | ||
0.782154 | − | 0.623086i | \(-0.214121\pi\) | |||||||
\(450\) | 7.31207 | − | 37.2652i | 0.344694 | − | 1.75670i | ||||
\(451\) | 1.03895 | + | 0.599840i | 0.0489224 | + | 0.0282454i | ||||
\(452\) | −20.3044 | − | 35.1683i | −0.955039 | − | 1.65418i | ||||
\(453\) | 19.0300 | + | 22.5221i | 0.894108 | + | 1.05818i | ||||
\(454\) | 16.9975 | − | 9.81354i | 0.797734 | − | 0.460572i | ||||
\(455\) | −17.0420 | + | 17.8779i | −0.798939 | + | 0.838130i | ||||
\(456\) | 42.3455 | − | 35.7798i | 1.98301 | − | 1.67554i | ||||
\(457\) | − | 31.7898i | − | 1.48706i | −0.668700 | − | 0.743532i | \(-0.733149\pi\) | ||
0.668700 | − | 0.743532i | \(-0.266851\pi\) | |||||||
\(458\) | 40.6229 | + | 23.4536i | 1.89818 | + | 1.09592i | ||||
\(459\) | 25.6436 | − | 0.263351i | 1.19694 | − | 0.0122922i | ||||
\(460\) | −4.70974 | − | 0.0613927i | −0.219593 | − | 0.00286245i | ||||
\(461\) | −5.79487 | + | 10.0370i | −0.269894 | + | 0.467470i | −0.968834 | − | 0.247710i | \(-0.920322\pi\) |
0.698940 | + | 0.715180i | \(0.253655\pi\) | |||||||
\(462\) | −14.6855 | + | 7.58439i | −0.683230 | + | 0.352858i | ||||
\(463\) | −25.9642 | + | 14.9904i | −1.20666 | + | 0.696664i | −0.962028 | − | 0.272952i | \(-0.912000\pi\) |
−0.244630 | + | 0.969616i | \(0.578667\pi\) | |||||||
\(464\) | −11.5919 | − | 6.69257i | −0.538139 | − | 0.310695i | ||||
\(465\) | −31.8339 | + | 26.1946i | −1.47626 | + | 1.21474i | ||||
\(466\) | −12.0399 | − | 20.8538i | −0.557739 | − | 0.966032i | ||||
\(467\) | 2.17113 | − | 1.25350i | 0.100468 | − | 0.0580052i | −0.448924 | − | 0.893570i | \(-0.648193\pi\) |
0.549392 | + | 0.835565i | \(0.314859\pi\) | |||||||
\(468\) | −42.5500 | − | 35.2101i | −1.96687 | − | 1.62759i | ||||
\(469\) | 1.40570 | − | 6.14657i | 0.0649091 | − | 0.283822i | ||||
\(470\) | 24.4143 | − | 13.6744i | 1.12615 | − | 0.630755i | ||||
\(471\) | 7.98079 | − | 1.43541i | 0.367735 | − | 0.0661404i | ||||
\(472\) | −1.23508 | −0.0568493 | ||||||||
\(473\) | 6.09959 | 0.280459 | ||||||||
\(474\) | −1.95177 | + | 0.351042i | −0.0896476 | + | 0.0161239i | ||||
\(475\) | 0.683804 | − | 26.2245i | 0.0313751 | − | 1.20326i | ||||
\(476\) | 42.1919 | + | 39.1822i | 1.93386 | + | 1.79591i | ||||
\(477\) | −2.33451 | + | 13.7911i | −0.106890 | + | 0.631451i | ||||
\(478\) | 44.6864 | − | 25.7997i | 2.04391 | − | 1.18005i | ||||
\(479\) | −17.7777 | − | 30.7920i | −0.812286 | − | 1.40692i | −0.911261 | − | 0.411830i | \(-0.864890\pi\) |
0.0989748 | − | 0.995090i | \(-0.468444\pi\) | |||||||
\(480\) | 11.2526 | + | 13.6752i | 0.513611 | + | 0.624184i | ||||
\(481\) | −29.3614 | − | 16.9518i | −1.33877 | − | 0.772937i | ||||
\(482\) | 19.8219 | − | 11.4442i | 0.902862 | − | 0.521267i | ||||
\(483\) | 1.18217 | − | 1.84242i | 0.0537904 | − | 0.0838332i | ||||
\(484\) | −19.7779 | + | 34.2564i | −0.898996 | + | 1.55711i | ||||
\(485\) | 20.9921 | + | 0.273637i | 0.953201 | + | 0.0124252i | ||||
\(486\) | −24.8468 | + | 30.6621i | −1.12708 | + | 1.39086i | ||||
\(487\) | 15.4460 | + | 8.91776i | 0.699926 | + | 0.404102i | 0.807320 | − | 0.590114i | \(-0.200917\pi\) |
−0.107394 | + | 0.994217i | \(0.534251\pi\) | |||||||
\(488\) | − | 10.8813i | − | 0.492572i | ||||||
\(489\) | −21.3207 | + | 18.0149i | −0.964157 | + | 0.814664i | ||||
\(490\) | 2.41200 | + | 39.5542i | 0.108963 | + | 1.78688i | ||||
\(491\) | −6.13294 | + | 3.54085i | −0.276776 | + | 0.159796i | −0.631963 | − | 0.774999i | \(-0.717750\pi\) |
0.355187 | + | 0.934795i | \(0.384417\pi\) | |||||||
\(492\) | 4.15100 | + | 4.91272i | 0.187142 | + | 0.221483i | ||||
\(493\) | −4.98548 | − | 8.63510i | −0.224535 | − | 0.388905i | ||||
\(494\) | −48.0263 | − | 27.7280i | −2.16081 | − | 1.24754i | ||||
\(495\) | −9.40113 | − | 1.71772i | −0.422549 | − | 0.0772060i | ||||
\(496\) | − | 70.5226i | − | 3.16656i | ||||||
\(497\) | −6.91655 | + | 30.2434i | −0.310250 | + | 1.35660i | ||||
\(498\) | 50.7479 | + | 18.2742i | 2.27407 | + | 0.818888i | ||||
\(499\) | −11.4852 | + | 19.8930i | −0.514149 | + | 0.890533i | 0.485716 | + | 0.874117i | \(0.338559\pi\) |
−0.999865 | + | 0.0164161i | \(0.994774\pi\) | |||||||
\(500\) | 49.2630 | + | 1.92734i | 2.20311 | + | 0.0861934i | ||||
\(501\) | −15.0299 | + | 12.6995i | −0.671485 | + | 0.567371i | ||||
\(502\) | 12.1882 | 0.543987 | ||||||||
\(503\) | − | 5.23692i | − | 0.233503i | −0.993161 | − | 0.116751i | \(-0.962752\pi\) | ||
0.993161 | − | 0.116751i | \(-0.0372481\pi\) | |||||||
\(504\) | −48.0051 | + | 6.32890i | −2.13832 | + | 0.281911i | ||||
\(505\) | 21.0934 | − | 35.4593i | 0.938645 | − | 1.57792i | ||||
\(506\) | 1.72294i | 0.0765941i | ||||||||
\(507\) | −2.59959 | + | 7.21910i | −0.115452 | + | 0.320611i | ||||
\(508\) | 38.9300i | 1.72724i | ||||||||
\(509\) | −4.85855 | + | 8.41525i | −0.215351 | + | 0.373000i | −0.953381 | − | 0.301769i | \(-0.902423\pi\) |
0.738030 | + | 0.674768i | \(0.235756\pi\) | |||||||
\(510\) | 7.94489 | + | 47.7362i | 0.351806 | + | 2.11379i | ||||
\(511\) | −16.2907 | + | 17.5421i | −0.720660 | + | 0.776017i | ||||
\(512\) | 50.5392 | 2.23354 | ||||||||
\(513\) | −13.3881 | + | 23.7488i | −0.591100 | + | 1.04854i | ||||
\(514\) | 0.578131 | + | 0.333784i | 0.0255003 | + | 0.0147226i | ||||
\(515\) | 41.7885 | + | 0.544724i | 1.84142 | + | 0.0240034i | ||||
\(516\) | 30.7666 | + | 11.0790i | 1.35442 | + | 0.487725i | ||||
\(517\) | −3.52102 | − | 6.09859i | −0.154854 | − | 0.268216i | ||||
\(518\) | −51.9858 | + | 16.0110i | −2.28412 | + | 0.703482i | ||||
\(519\) | −4.15712 | − | 23.1133i | −0.182477 | − | 1.01456i | ||||
\(520\) | 29.1153 | − | 48.9446i | 1.27679 | − | 2.14636i | ||||
\(521\) | 2.77492 | − | 4.80630i | 0.121571 | − | 0.210568i | −0.798816 | − | 0.601575i | \(-0.794540\pi\) |
0.920387 | + | 0.391007i | \(0.127873\pi\) | |||||||
\(522\) | 15.1293 | + | 2.56103i | 0.662190 | + | 0.112093i | ||||
\(523\) | −3.79740 | − | 6.57728i | −0.166049 | − | 0.287605i | 0.770979 | − | 0.636861i | \(-0.219768\pi\) |
−0.937027 | + | 0.349257i | \(0.886434\pi\) | |||||||
\(524\) | −4.87417 | + | 8.44230i | −0.212929 | + | 0.368804i | ||||
\(525\) | −12.8721 | + | 18.9554i | −0.561785 | + | 0.827283i | ||||
\(526\) | −11.8752 | − | 20.5685i | −0.517784 | − | 0.896827i | ||||
\(527\) | 26.2671 | − | 45.4959i | 1.14421 | − | 1.98183i | ||||
\(528\) | 12.4875 | − | 10.5513i | 0.543447 | − | 0.459185i | ||||
\(529\) | 11.3859 | + | 19.7210i | 0.495039 | + | 0.857433i | ||||
\(530\) | −26.3922 | − | 0.344029i | −1.14640 | − | 0.0149437i | ||||
\(531\) | 0.569313 | − | 0.211638i | 0.0247061 | − | 0.00918430i | ||||
\(532\) | −58.4998 | + | 18.0172i | −2.53629 | + | 0.781145i | ||||
\(533\) | 1.75784 | − | 3.04467i | 0.0761405 | − | 0.131879i | ||||
\(534\) | 7.53198 | + | 8.91411i | 0.325940 | + | 0.385751i | ||||
\(535\) | 1.00790 | − | 1.69434i | 0.0435753 | − | 0.0732527i | ||||
\(536\) | 14.5383i | 0.627957i | ||||||||
\(537\) | −1.46274 | − | 0.526729i | −0.0631218 | − | 0.0227301i | ||||
\(538\) | −14.8202 | + | 25.6694i | −0.638945 | + | 1.10668i | ||||
\(539\) | 9.94522 | − | 0.736681i | 0.428371 | − | 0.0317311i | ||||
\(540\) | −44.2997 | − | 25.7400i | −1.90635 | − | 1.10767i | ||||
\(541\) | −16.8986 | − | 29.2693i | −0.726530 | − | 1.25839i | −0.958341 | − | 0.285626i | \(-0.907799\pi\) |
0.231812 | − | 0.972761i | \(-0.425535\pi\) | |||||||
\(542\) | −24.4881 | + | 14.1382i | −1.05185 | + | 0.607288i | ||||
\(543\) | −4.13254 | − | 22.9766i | −0.177344 | − | 0.986021i | ||||
\(544\) | −19.5441 | − | 11.2838i | −0.837947 | − | 0.483789i | ||||
\(545\) | −9.70474 | − | 0.126504i | −0.415705 | − | 0.00541883i | ||||
\(546\) | 22.2261 | + | 43.0360i | 0.951191 | + | 1.84177i | ||||
\(547\) | 14.5277 | + | 8.38754i | 0.621158 | + | 0.358626i | 0.777320 | − | 0.629106i | \(-0.216579\pi\) |
−0.156162 | + | 0.987731i | \(0.549912\pi\) | |||||||
\(548\) | 10.6618 | + | 18.4667i | 0.455449 | + | 0.788860i | ||||
\(549\) | 1.86456 | + | 5.01573i | 0.0795776 | + | 0.214066i | ||||
\(550\) | 0.470074 | − | 18.0278i | 0.0200440 | − | 0.768707i | ||||
\(551\) | 10.5999 | 0.451571 | ||||||||
\(552\) | −1.71008 | + | 4.74891i | −0.0727857 | + | 0.202127i | ||||
\(553\) | 1.16639 | + | 0.266749i | 0.0496000 | + | 0.0113433i | ||||
\(554\) | 21.9986 | − | 12.7009i | 0.934631 | − | 0.539609i | ||||
\(555\) | −29.4502 | − | 11.0407i | −1.25009 | − | 0.468651i | ||||
\(556\) | 4.77119 | − | 2.75465i | 0.202344 | − | 0.116823i | ||||
\(557\) | −3.36711 | + | 5.83201i | −0.142669 | + | 0.247110i | −0.928501 | − | 0.371330i | \(-0.878902\pi\) |
0.785832 | + | 0.618440i | \(0.212235\pi\) | |||||||
\(558\) | 28.1704 | + | 75.7793i | 1.19255 | + | 3.20799i | ||||
\(559\) | − | 17.8749i | − | 0.756028i | ||||||
\(560\) | −11.0478 | − | 37.6067i | −0.466856 | − | 1.58917i | ||||
\(561\) | 11.9859 | − | 2.15578i | 0.506047 | − | 0.0910169i | ||||
\(562\) | 28.6170 | + | 16.5220i | 1.20713 | + | 0.696939i | ||||
\(563\) | − | 45.8890i | − | 1.93399i | −0.254795 | − | 0.966995i | \(-0.582008\pi\) | ||
0.254795 | − | 0.966995i | \(-0.417992\pi\) | |||||||
\(564\) | −6.68299 | − | 37.1569i | −0.281405 | − | 1.56459i | ||||
\(565\) | −10.5278 | + | 17.6978i | −0.442906 | + | 0.744553i | ||||
\(566\) | −33.7728 | −1.41958 | ||||||||
\(567\) | 21.0435 | − | 11.1432i | 0.883744 | − | 0.467972i | ||||
\(568\) | − | 71.5336i | − | 3.00148i | ||||||
\(569\) | − | 25.9763i | − | 1.08898i | −0.838767 | − | 0.544491i | \(-0.816723\pi\) | ||
0.838767 | − | 0.544491i | \(-0.183277\pi\) | |||||||
\(570\) | −48.1715 | − | 18.0592i | −2.01768 | − | 0.756416i | ||||
\(571\) | −27.1543 | −1.13637 | −0.568187 | − | 0.822900i | \(-0.692355\pi\) | ||||
−0.568187 | + | 0.822900i | \(0.692355\pi\) | |||||||
\(572\) | −22.7134 | − | 13.1136i | −0.949694 | − | 0.548306i | ||||
\(573\) | 0.605661 | + | 3.36743i | 0.0253019 | + | 0.140676i | ||||
\(574\) | −1.66028 | − | 5.39072i | −0.0692986 | − | 0.225004i | ||||
\(575\) | 1.13991 | + | 2.09891i | 0.0475377 | + | 0.0875304i | ||||
\(576\) | −4.70742 | + | 1.74995i | −0.196143 | + | 0.0729146i | ||||
\(577\) | −6.23651 | + | 10.8020i | −0.259629 | + | 0.449691i | −0.966143 | − | 0.258008i | \(-0.916934\pi\) |
0.706513 | + | 0.707700i | \(0.250267\pi\) | |||||||
\(578\) | −9.31411 | − | 16.1325i | −0.387416 | − | 0.671024i | ||||
\(579\) | 5.08251 | + | 28.2584i | 0.211222 | + | 1.17438i | ||||
\(580\) | −0.259647 | + | 19.9188i | −0.0107812 | + | 0.827083i | ||||
\(581\) | −23.8467 | − | 22.1456i | −0.989328 | − | 0.918755i | ||||
\(582\) | 13.9485 | − | 38.7353i | 0.578185 | − | 1.60563i | ||||
\(583\) | 6.64228i | 0.275095i | ||||||||
\(584\) | 27.5994 | − | 47.8036i | 1.14207 | − | 1.97813i | ||||
\(585\) | −5.03381 | + | 27.5501i | −0.208122 | + | 1.13906i | ||||
\(586\) | −10.0697 | + | 5.81373i | −0.415974 | + | 0.240163i | ||||
\(587\) | 14.4358 | + | 8.33452i | 0.595830 | + | 0.344002i | 0.767399 | − | 0.641170i | \(-0.221550\pi\) |
−0.171569 | + | 0.985172i | \(0.554884\pi\) | |||||||
\(588\) | 51.5022 | + | 14.3482i | 2.12391 | + | 0.591708i | ||||
\(589\) | 27.9240 | + | 48.3657i | 1.15059 | + | 1.99288i | ||||
\(590\) | 0.560084 | + | 0.999972i | 0.0230583 | + | 0.0411682i | ||||
\(591\) | 41.9227 | − | 7.54015i | 1.72447 | − | 0.310160i | ||||
\(592\) | 46.5947 | − | 26.9014i | 1.91503 | − | 1.10564i | ||||
\(593\) | 0.329806 | − | 0.190413i | 0.0135435 | − | 0.00781934i | −0.493213 | − | 0.869909i | \(-0.664178\pi\) |
0.506756 | + | 0.862089i | \(0.330844\pi\) | |||||||
\(594\) | −9.20353 | + | 16.3259i | −0.377625 | + | 0.669859i | ||||
\(595\) | 6.87988 | − | 28.3760i | 0.282048 | − | 1.16330i | ||||
\(596\) | 13.1512 | + | 7.59287i | 0.538696 | + | 0.311016i | ||||
\(597\) | 1.18049 | + | 0.425093i | 0.0483143 | + | 0.0173979i | ||||
\(598\) | 5.04910 | 0.206473 | ||||||||
\(599\) | − | 21.0025i | − | 0.858137i | −0.903272 | − | 0.429069i | \(-0.858842\pi\) | ||
0.903272 | − | 0.429069i | \(-0.141158\pi\) | |||||||
\(600\) | 19.1888 | − | 49.2231i | 0.783380 | − | 2.00952i | ||||
\(601\) | −3.49714 | − | 2.01907i | −0.142651 | − | 0.0823597i | 0.426976 | − | 0.904263i | \(-0.359579\pi\) |
−0.569627 | + | 0.821903i | \(0.692912\pi\) | |||||||
\(602\) | −21.0146 | − | 19.5155i | −0.856491 | − | 0.795394i | ||||
\(603\) | −2.49121 | − | 6.70143i | −0.101450 | − | 0.272903i | ||||
\(604\) | 37.5331 | + | 65.0092i | 1.52720 | + | 2.64519i | ||||
\(605\) | 20.0567 | + | 0.261445i | 0.815422 | + | 0.0106292i | ||||
\(606\) | −52.2205 | − | 61.8031i | −2.12131 | − | 2.51058i | ||||
\(607\) | 8.88367 | − | 15.3870i | 0.360577 | − | 0.624538i | −0.627479 | − | 0.778634i | \(-0.715913\pi\) |
0.988056 | + | 0.154096i | \(0.0492465\pi\) | |||||||
\(608\) | 20.7769 | − | 11.9956i | 0.842615 | − | 0.486484i | ||||
\(609\) | −7.79212 | − | 4.99970i | −0.315753 | − | 0.202598i | ||||
\(610\) | −8.80990 | + | 4.93442i | −0.356702 | + | 0.199789i | ||||
\(611\) | −17.8720 | + | 10.3184i | −0.723023 | + | 0.417437i | ||||
\(612\) | 64.3732 | + | 10.8969i | 2.60213 | + | 0.440480i | ||||
\(613\) | 12.3044 | + | 7.10394i | 0.496969 | + | 0.286925i | 0.727461 | − | 0.686149i | \(-0.240700\pi\) |
−0.230492 | + | 0.973074i | \(0.574034\pi\) | |||||||
\(614\) | 52.1881 | 2.10614 | ||||||||
\(615\) | 1.14488 | − | 3.05387i | 0.0461659 | − | 0.123144i | ||||
\(616\) | −21.9752 | + | 6.76811i | −0.885408 | + | 0.272695i | ||||
\(617\) | 16.5509 | + | 28.6670i | 0.666314 | + | 1.15409i | 0.978927 | + | 0.204209i | \(0.0654622\pi\) |
−0.312614 | + | 0.949880i | \(0.601205\pi\) | |||||||
\(618\) | 27.7670 | − | 77.1096i | 1.11695 | − | 3.10180i | ||||
\(619\) | 35.6504 | − | 20.5828i | 1.43291 | − | 0.827291i | 0.435569 | − | 0.900155i | \(-0.356547\pi\) |
0.997342 | + | 0.0728641i | \(0.0232139\pi\) | |||||||
\(620\) | −91.5704 | + | 51.2886i | −3.67756 | + | 2.05980i | ||||
\(621\) | −0.0254898 | − | 2.48205i | −0.00102287 | − | 0.0996010i | ||||
\(622\) | 29.2701 | 1.17362 | ||||||||
\(623\) | −2.07254 | − | 6.72931i | −0.0830348 | − | 0.269604i | ||||
\(624\) | −30.9206 | − | 36.5946i | −1.23782 | − | 1.46496i | ||||
\(625\) | −11.3547 | − | 22.2726i | −0.454188 | − | 0.890906i | ||||
\(626\) | −73.5222 | −2.93854 | ||||||||
\(627\) | −4.38628 | + | 12.1808i | −0.175171 | + | 0.486453i | ||||
\(628\) | 20.6441 | 0.823791 | ||||||||
\(629\) | 40.0792 | 1.59806 | ||||||||
\(630\) | 26.8934 | + | 35.9968i | 1.07146 | + | 1.43415i | ||||
\(631\) | 10.0626 | 0.400586 | 0.200293 | − | 0.979736i | \(-0.435811\pi\) | ||||
0.200293 | + | 0.979736i | \(0.435811\pi\) | |||||||
\(632\) | −2.75882 | −0.109740 | ||||||||
\(633\) | 13.0559 | + | 15.4517i | 0.518927 | + | 0.614151i | ||||
\(634\) | 54.9015 | 2.18042 | ||||||||
\(635\) | 17.2235 | − | 9.64687i | 0.683493 | − | 0.382824i | ||||
\(636\) | −12.0647 | + | 33.5039i | −0.478397 | + | 1.32852i | ||||
\(637\) | −2.15885 | − | 29.1446i | −0.0855369 | − | 1.15475i | ||||
\(638\) | 7.28679 | 0.288487 | ||||||||
\(639\) | 12.2577 | + | 32.9735i | 0.484905 | + | 1.30441i | ||||
\(640\) | −14.6241 | − | 26.1098i | −0.578068 | − | 1.03208i | ||||
\(641\) | −33.9181 | + | 19.5826i | −1.33968 | + | 0.773466i | −0.986760 | − | 0.162186i | \(-0.948145\pi\) |
−0.352923 | + | 0.935652i | \(0.614812\pi\) | |||||||
\(642\) | −2.49524 | − | 2.95312i | −0.0984791 | − | 0.116550i | ||||
\(643\) | 7.40682 | + | 12.8290i | 0.292097 | + | 0.505926i | 0.974305 | − | 0.225231i | \(-0.0723138\pi\) |
−0.682209 | + | 0.731157i | \(0.738980\pi\) | |||||||
\(644\) | 3.79244 | − | 4.08375i | 0.149443 | − | 0.160922i | ||||
\(645\) | −2.72238 | − | 16.3572i | −0.107193 | − | 0.644063i | ||||
\(646\) | 65.5573 | 2.57932 | ||||||||
\(647\) | −23.0628 | − | 13.3153i | −0.906691 | − | 0.523478i | −0.0273261 | − | 0.999627i | \(-0.508699\pi\) |
−0.879365 | + | 0.476148i | \(0.842033\pi\) | |||||||
\(648\) | −41.5715 | + | 35.8639i | −1.63308 | + | 1.40887i | ||||
\(649\) | 0.249789 | − | 0.144216i | 0.00980506 | − | 0.00566096i | ||||
\(650\) | −52.8306 | − | 1.37756i | −2.07219 | − | 0.0540322i | ||||
\(651\) | 2.28562 | − | 48.7253i | 0.0895804 | − | 1.90969i | ||||
\(652\) | −61.5415 | + | 35.5310i | −2.41015 | + | 1.39150i | ||||
\(653\) | 10.6651 | − | 18.4725i | 0.417358 | − | 0.722885i | −0.578315 | − | 0.815814i | \(-0.696289\pi\) |
0.995673 | + | 0.0929286i | \(0.0296228\pi\) | |||||||
\(654\) | −6.44847 | + | 17.9075i | −0.252155 | + | 0.700240i | ||||
\(655\) | 4.94288 | + | 0.0644317i | 0.193134 | + | 0.00251756i | ||||
\(656\) | 2.78957 | + | 4.83168i | 0.108915 | + | 0.188646i | ||||
\(657\) | −4.53058 | + | 26.7644i | −0.176755 | + | 1.04418i | ||||
\(658\) | −7.38155 | + | 32.2766i | −0.287763 | + | 1.25827i | ||||
\(659\) | −3.91124 | − | 2.25816i | −0.152360 | − | 0.0879653i | 0.421882 | − | 0.906651i | \(-0.361370\pi\) |
−0.574242 | + | 0.818686i | \(0.694703\pi\) | |||||||
\(660\) | −22.7820 | − | 8.54083i | −0.886789 | − | 0.332452i | ||||
\(661\) | − | 33.8778i | − | 1.31770i | −0.752276 | − | 0.658848i | \(-0.771044\pi\) | ||
0.752276 | − | 0.658848i | \(-0.228956\pi\) | |||||||
\(662\) | −15.0698 | −0.585703 | ||||||||
\(663\) | −6.31752 | − | 35.1249i | −0.245352 | − | 1.36414i | ||||
\(664\) | 64.9842 | + | 37.5186i | 2.52187 | + | 1.45601i | ||||
\(665\) | 22.4675 | + | 21.4169i | 0.871251 | + | 0.830512i | ||||
\(666\) | −39.3219 | + | 47.5190i | −1.52369 | + | 1.84132i | ||||
\(667\) | −0.835791 | + | 0.482544i | −0.0323620 | + | 0.0186842i | ||||
\(668\) | −43.3832 | + | 25.0473i | −1.67855 | + | 0.969109i | ||||
\(669\) | 15.5331 | − | 43.1356i | 0.600543 | − | 1.66772i | ||||
\(670\) | 11.7707 | − | 6.59279i | 0.454744 | − | 0.254702i | ||||
\(671\) | 1.27056 | + | 2.20068i | 0.0490495 | + | 0.0849561i | ||||
\(672\) | −20.9314 | − | 0.981854i | −0.807445 | − | 0.0378758i | ||||
\(673\) | −0.00944408 | − | 0.00545254i | −0.000364043 | − | 0.000210180i | 0.499818 | − | 0.866130i | \(-0.333400\pi\) |
−0.500182 | + | 0.865920i | \(0.666734\pi\) | |||||||
\(674\) | −6.15542 | + | 3.55384i | −0.237098 | + | 0.136889i | ||||
\(675\) | −0.410472 | + | 25.9775i | −0.0157991 | + | 0.999875i | ||||
\(676\) | −9.76712 | + | 16.9172i | −0.375659 | + | 0.650660i | ||||
\(677\) | − | 35.1941i | − | 1.35262i | −0.736618 | − | 0.676309i | \(-0.763578\pi\) | ||
0.736618 | − | 0.676309i | \(-0.236422\pi\) | |||||||
\(678\) | 26.0634 | + | 30.8461i | 1.00096 | + | 1.18464i | ||||
\(679\) | −16.9035 | + | 18.2019i | −0.648697 | + | 0.698526i | ||||
\(680\) | −0.877499 | + | 67.3174i | −0.0336506 | + | 2.58150i | ||||
\(681\) | −10.2566 | + | 8.66631i | −0.393034 | + | 0.332094i | ||||
\(682\) | 19.1960 | + | 33.2485i | 0.735054 | + | 1.27315i | ||||
\(683\) | −13.2893 | + | 23.0177i | −0.508499 | + | 0.880746i | 0.491452 | + | 0.870904i | \(0.336466\pi\) |
−0.999952 | + | 0.00984199i | \(0.996867\pi\) | |||||||
\(684\) | −44.2491 | + | 53.4733i | −1.69191 | + | 2.04460i | ||||
\(685\) | 5.52810 | − | 9.29307i | 0.211218 | − | 0.355070i | ||||
\(686\) | −36.6208 | − | 29.2815i | −1.39819 | − | 1.11797i | ||||
\(687\) | −30.1932 | − | 10.8725i | −1.15194 | − | 0.414813i | ||||
\(688\) | 24.5659 | + | 14.1831i | 0.936567 | + | 0.540727i | ||||
\(689\) | 19.4653 | 0.741568 | ||||||||
\(690\) | 4.62039 | − | 0.768986i | 0.175895 | − | 0.0292748i | ||||
\(691\) | − | 3.28870i | − | 0.125108i | −0.998042 | − | 0.0625540i | \(-0.980075\pi\) | ||
0.998042 | − | 0.0625540i | \(-0.0199246\pi\) | |||||||
\(692\) | − | 59.7878i | − | 2.27279i | ||||||
\(693\) | 8.96976 | − | 6.88534i | 0.340733 | − | 0.261552i | ||||
\(694\) | −25.0419 | −0.950578 | ||||||||
\(695\) | −2.40102 | − | 1.42828i | −0.0910759 | − | 0.0541776i | ||||
\(696\) | 20.0844 | + | 7.23238i | 0.761299 | + | 0.274143i | ||||
\(697\) | 4.15606i | 0.157422i | ||||||||
\(698\) | −0.708042 | − | 0.408788i | −0.0267998 | − | 0.0154729i | ||||
\(699\) | 10.6324 | + | 12.5835i | 0.402155 | + | 0.475952i | ||||
\(700\) | −40.7959 | + | 41.6951i | −1.54194 | + | 1.57593i | ||||
\(701\) | 39.7933i | 1.50297i | 0.659749 | + | 0.751486i | \(0.270663\pi\) | ||||
−0.659749 | + | 0.751486i | \(0.729337\pi\) | |||||||
\(702\) | 47.8432 | + | 26.9710i | 1.80573 | + | 1.01796i | ||||
\(703\) | −21.3037 | + | 36.8990i | −0.803483 | + | 1.39167i | ||||
\(704\) | −2.06540 | + | 1.19246i | −0.0778428 | + | 0.0449426i | ||||
\(705\) | −14.7830 | + | 12.1642i | −0.556759 | + | 0.458130i | ||||
\(706\) | −37.4621 | + | 21.6288i | −1.40991 | + | 0.814009i | ||||
\(707\) | 14.3693 | + | 46.6555i | 0.540414 | + | 1.75466i | ||||
\(708\) | 1.52189 | − | 0.273725i | 0.0571961 | − | 0.0102872i | ||||
\(709\) | −3.08929 | −0.116021 | −0.0580103 | − | 0.998316i | \(-0.518476\pi\) | ||||
−0.0580103 | + | 0.998316i | \(0.518476\pi\) | |||||||
\(710\) | −57.9164 | + | 32.4390i | −2.17356 | + | 1.21741i | ||||
\(711\) | 1.27168 | − | 0.472739i | 0.0476918 | − | 0.0177291i | ||||
\(712\) | 8.11762 | + | 14.0601i | 0.304221 | + | 0.526926i | ||||
\(713\) | −4.40355 | − | 2.54239i | −0.164914 | − | 0.0952133i | ||||
\(714\) | −48.1919 | − | 30.9217i | −1.80354 | − | 1.15721i | ||||
\(715\) | −0.173349 | + | 13.2984i | −0.00648287 | + | 0.497333i | ||||
\(716\) | −3.42776 | − | 1.97902i | −0.128101 | − | 0.0739594i | ||||
\(717\) | −26.9645 | + | 22.7837i | −1.00701 | + | 0.850872i | ||||
\(718\) | 43.5931 | − | 25.1685i | 1.62688 | − | 0.939279i | ||||
\(719\) | 10.5791 | + | 18.3235i | 0.394532 | + | 0.683350i | 0.993041 | − | 0.117766i | \(-0.0375734\pi\) |
−0.598509 | + | 0.801116i | \(0.704240\pi\) | |||||||
\(720\) | −33.8686 | − | 28.7782i | −1.26221 | − | 1.07250i | ||||
\(721\) | −33.6495 | + | 36.2342i | −1.25317 | + | 1.34943i | ||||
\(722\) | −10.7949 | + | 18.6974i | −0.401746 | + | 0.695844i | ||||
\(723\) | −11.9608 | + | 10.1063i | −0.444829 | + | 0.375858i | ||||
\(724\) | − | 59.4343i | − | 2.20886i | ||||||
\(725\) | 8.87685 | − | 4.82101i | 0.329678 | − | 0.179048i | ||||
\(726\) | 13.3270 | − | 37.0094i | 0.494612 | − | 1.37355i | ||||
\(727\) | 4.31669 | − | 7.47672i | 0.160097 | − | 0.277296i | −0.774806 | − | 0.632199i | \(-0.782153\pi\) |
0.934903 | + | 0.354903i | \(0.115486\pi\) | |||||||
\(728\) | 19.8340 | + | 64.3987i | 0.735097 | + | 2.38677i | ||||
\(729\) | 13.0169 | − | 23.6550i | 0.482109 | − | 0.876111i | ||||
\(730\) | −51.2194 | − | 0.667659i | −1.89572 | − | 0.0247112i | ||||
\(731\) | 10.5654 | + | 18.2998i | 0.390776 | + | 0.676843i | ||||
\(732\) | 2.41156 | + | 13.4081i | 0.0891338 | + | 0.495577i | ||||
\(733\) | −2.57990 | + | 4.46851i | −0.0952907 | + | 0.165048i | −0.909730 | − | 0.415201i | \(-0.863711\pi\) |
0.814439 | + | 0.580249i | \(0.197045\pi\) | |||||||
\(734\) | −39.7076 | − | 68.7756i | −1.46564 | − | 2.53855i | ||||
\(735\) | −6.41431 | − | 26.3412i | −0.236596 | − | 0.971608i | ||||
\(736\) | −1.09216 | + | 1.89167i | −0.0402575 | + | 0.0697280i | ||||
\(737\) | −1.69757 | − | 2.94028i | −0.0625309 | − | 0.108307i | ||||
\(738\) | −4.92753 | − | 4.07753i | −0.181385 | − | 0.150096i | ||||
\(739\) | −7.92896 | + | 13.7334i | −0.291671 | + | 0.505190i | −0.974205 | − | 0.225664i | \(-0.927545\pi\) |
0.682534 | + | 0.730854i | \(0.260878\pi\) | |||||||
\(740\) | −68.8169 | − | 40.9366i | −2.52976 | − | 1.50486i | ||||
\(741\) | 35.6959 | + | 12.8540i | 1.31132 | + | 0.472205i | ||||
\(742\) | 21.2519 | − | 22.8843i | 0.780181 | − | 0.840110i | ||||
\(743\) | −14.5897 | − | 25.2701i | −0.535243 | − | 0.927069i | −0.999152 | − | 0.0411854i | \(-0.986887\pi\) |
0.463908 | − | 0.885883i | \(-0.346447\pi\) | |||||||
\(744\) | 19.9094 | + | 110.695i | 0.729916 | + | 4.05827i | ||||
\(745\) | 0.100370 | − | 7.69991i | 0.00367729 | − | 0.282103i | ||||
\(746\) | 56.1756 | + | 32.4330i | 2.05674 | + | 1.18746i | ||||
\(747\) | −36.3835 | − | 6.15887i | −1.33120 | − | 0.225341i | ||||
\(748\) | 31.0044 | 1.13363 | ||||||||
\(749\) | 0.686605 | + | 2.22932i | 0.0250880 | + | 0.0814577i | ||||
\(750\) | −48.5546 | + | 6.78560i | −1.77296 | + | 0.247775i | ||||
\(751\) | 13.9911 | − | 24.2333i | 0.510543 | − | 0.884287i | −0.489382 | − | 0.872069i | \(-0.662778\pi\) |
0.999925 | − | 0.0122173i | \(-0.00388898\pi\) | |||||||
\(752\) | − | 32.7492i | − | 1.19424i | ||||||
\(753\) | −8.20678 | + | 1.47606i | −0.299072 | + | 0.0537906i | ||||
\(754\) | − | 21.3540i | − | 0.777668i | ||||||
\(755\) | 19.4608 | − | 32.7147i | 0.708250 | − | 1.19061i | ||||
\(756\) | 57.7500 | − | 18.4377i | 2.10035 | − | 0.670572i | ||||
\(757\) | 12.4434i | 0.452263i | 0.974097 | + | 0.226132i | \(0.0726079\pi\) | ||||
−0.974097 | + | 0.226132i | \(0.927392\pi\) | |||||||
\(758\) | 12.6734 | 0.460320 | ||||||||
\(759\) | −0.208657 | − | 1.16012i | −0.00757379 | − | 0.0421097i | ||||
\(760\) | −61.5095 | − | 36.5897i | −2.23118 | − | 1.32725i | ||||
\(761\) | −10.5154 | + | 18.2131i | −0.381181 | + | 0.660225i | −0.991231 | − | 0.132138i | \(-0.957816\pi\) |
0.610050 | + | 0.792363i | \(0.291149\pi\) | |||||||
\(762\) | −6.85299 | − | 38.1021i | −0.248258 | − | 1.38029i | ||||
\(763\) | 7.81457 | − | 8.41484i | 0.282907 | − | 0.304638i | ||||
\(764\) | 8.71063i | 0.315140i | ||||||||
\(765\) | −11.1307 | − | 31.1804i | −0.402431 | − | 1.12733i | ||||
\(766\) | 50.5708 | + | 29.1971i | 1.82720 | + | 1.05493i | ||||
\(767\) | −0.422625 | − | 0.732009i | −0.0152601 | − | 0.0264313i | ||||
\(768\) | −52.0530 | + | 9.36219i | −1.87830 | + | 0.337829i | ||||
\(769\) | −11.8574 | + | 6.84585i | −0.427588 | + | 0.246868i | −0.698318 | − | 0.715787i | \(-0.746068\pi\) |
0.270731 | + | 0.962655i | \(0.412735\pi\) | |||||||
\(770\) | 15.4450 | + | 14.7228i | 0.556600 | + | 0.530574i | ||||
\(771\) | −0.429700 | − | 0.154734i | −0.0154753 | − | 0.00557262i | ||||
\(772\) | 73.0967i | 2.63081i | ||||||||
\(773\) | 0.308779 | + | 0.178273i | 0.0111060 | + | 0.00641205i | 0.505543 | − | 0.862802i | \(-0.331292\pi\) |
−0.494437 | + | 0.869214i | \(0.664626\pi\) | |||||||
\(774\) | −32.0625 | − | 5.42742i | −1.15246 | − | 0.195085i | ||||
\(775\) | 45.3824 | + | 27.8034i | 1.63018 | + | 0.998729i | ||||
\(776\) | 28.6376 | − | 49.6017i | 1.02803 | − | 1.78060i | ||||
\(777\) | 33.0649 | − | 17.0765i | 1.18620 | − | 0.612617i | ||||
\(778\) | −36.8838 | + | 21.2948i | −1.32235 | + | 0.763457i | ||||
\(779\) | −3.82628 | − | 2.20911i | −0.137091 | − | 0.0791494i | ||||
\(780\) | −25.0290 | + | 66.7630i | −0.896182 | + | 2.39050i | ||||
\(781\) | 8.35268 | + | 14.4673i | 0.298882 | + | 0.517680i | ||||
\(782\) | −5.16912 | + | 2.98439i | −0.184847 | + | 0.106722i | ||||
\(783\) | −10.4972 | + | 0.107803i | −0.375141 | + | 0.00385257i | ||||
\(784\) | 41.7671 | + | 20.1583i | 1.49168 | + | 0.719939i | ||||
\(785\) | −5.11562 | − | 9.13342i | −0.182584 | − | 0.325986i | ||||
\(786\) | 3.28438 | − | 9.12077i | 0.117150 | − | 0.325327i | ||||
\(787\) | 10.5853 | 0.377324 | 0.188662 | − | 0.982042i | \(-0.439585\pi\) | ||||
0.188662 | + | 0.982042i | \(0.439585\pi\) | |||||||
\(788\) | 108.443 | 3.86311 | ||||||||
\(789\) | 10.4870 | + | 12.4113i | 0.373346 | + | 0.441855i | ||||
\(790\) | 1.25107 | + | 2.23365i | 0.0445110 | + | 0.0794698i | ||||
\(791\) | −7.17176 | − | 23.2859i | −0.254998 | − | 0.827950i | ||||
\(792\) | −16.6220 | + | 20.0870i | −0.590638 | + | 0.713762i | ||||
\(793\) | 6.44910 | − | 3.72339i | 0.229014 | − | 0.132222i | ||||
\(794\) | 33.1646 | + | 57.4428i | 1.17697 | + | 2.03857i | ||||
\(795\) | 17.8125 | − | 2.96459i | 0.631744 | − | 0.105143i | ||||
\(796\) | 2.76635 | + | 1.59715i | 0.0980507 | + | 0.0566096i | ||||
\(797\) | −32.2113 | + | 18.5972i | −1.14098 | + | 0.658747i | −0.946674 | − | 0.322193i | \(-0.895580\pi\) |
−0.194309 | + | 0.980940i | \(0.562247\pi\) | |||||||
\(798\) | 54.0840 | − | 27.9320i | 1.91455 | − | 0.988781i | ||||
\(799\) | 12.1979 | − | 21.1273i | 0.431530 | − | 0.747432i | ||||
\(800\) | 11.9438 | − | 19.4953i | 0.422276 | − | 0.689264i | ||||
\(801\) | −6.15110 | − | 5.09003i | −0.217338 | − | 0.179847i | ||||
\(802\) | −79.5735 | − | 45.9418i | −2.80984 | − | 1.62226i | ||||
\(803\) | 12.8907i | 0.454902i | ||||||||
\(804\) | −3.22204 | − | 17.9143i | −0.113633 | − | 0.631788i | ||||
\(805\) | −2.74651 | − | 0.665903i | −0.0968017 | − | 0.0234700i | ||||
\(806\) | 97.4351 | − | 56.2542i | 3.43201 | − | 1.98147i | ||||
\(807\) | 6.87029 | − | 19.0789i | 0.241846 | − | 0.671610i | ||||
\(808\) | −56.2809 | − | 97.4814i | −1.97996 | − | 3.42938i | ||||
\(809\) | −27.2837 | − | 15.7522i | −0.959243 | − | 0.553819i | −0.0633032 | − | 0.997994i | \(-0.520164\pi\) |
−0.895940 | + | 0.444175i | \(0.853497\pi\) | |||||||
\(810\) | 47.8886 | + | 17.3944i | 1.68263 | + | 0.611176i | ||||
\(811\) | − | 1.59210i | − | 0.0559062i | −0.999609 | − | 0.0279531i | \(-0.991101\pi\) | ||
0.999609 | − | 0.0279531i | \(-0.00889891\pi\) | |||||||
\(812\) | −17.2713 | − | 16.0393i | −0.606104 | − | 0.562868i | ||||
\(813\) | 14.7765 | − | 12.4854i | 0.518235 | − | 0.437882i | ||||
\(814\) | −14.6450 | + | 25.3658i | −0.513306 | + | 0.889072i | ||||
\(815\) | 30.9697 | + | 18.4227i | 1.08482 | + | 0.645320i | ||||
\(816\) | 53.2858 | + | 19.1881i | 1.86538 | + | 0.671719i | ||||
\(817\) | −22.4637 | −0.785905 | ||||||||
\(818\) | − | 6.14130i | − | 0.214726i | ||||||
\(819\) | −20.1776 | − | 26.2860i | −0.705061 | − | 0.918506i | ||||
\(820\) | 4.24496 | − | 7.13604i | 0.148241 | − | 0.249201i | ||||
\(821\) | − | 25.4155i | − | 0.887006i | −0.896273 | − | 0.443503i | \(-0.853736\pi\) | ||
0.896273 | − | 0.443503i | \(-0.146264\pi\) | |||||||
\(822\) | −13.6858 | − | 16.1972i | −0.477347 | − | 0.564941i | ||||
\(823\) | − | 19.7366i | − | 0.687973i | −0.938975 | − | 0.343986i | \(-0.888223\pi\) | ||
0.938975 | − | 0.343986i | \(-0.111777\pi\) | |||||||
\(824\) | 57.0082 | − | 98.7411i | 1.98597 | − | 3.43981i | ||||
\(825\) | 1.86674 | + | 12.1957i | 0.0649917 | + | 0.424599i | ||||
\(826\) | −1.32200 | − | 0.302337i | −0.0459983 | − | 0.0105196i | ||||
\(827\) | −11.0429 | −0.383998 | −0.191999 | − | 0.981395i | \(-0.561497\pi\) | ||||
−0.191999 | + | 0.981395i | \(0.561497\pi\) | |||||||
\(828\) | 1.05471 | − | 6.23068i | 0.0366536 | − | 0.216531i | ||||
\(829\) | −18.4118 | − | 10.6300i | −0.639467 | − | 0.369196i | 0.144942 | − | 0.989440i | \(-0.453700\pi\) |
−0.784409 | + | 0.620244i | \(0.787034\pi\) | |||||||
\(830\) | 0.907614 | − | 69.6276i | 0.0315037 | − | 2.41681i | ||||
\(831\) | −13.2743 | + | 11.2161i | −0.460481 | + | 0.389083i | ||||
\(832\) | 3.49452 | + | 6.05269i | 0.121151 | + | 0.209839i | ||||
\(833\) | 19.4368 | + | 28.5613i | 0.673445 | + | 0.989592i | ||||
\(834\) | −4.18481 | + | 3.53596i | −0.144908 | + | 0.122440i | ||||
\(835\) | 21.8318 | + | 12.9869i | 0.755522 | + | 0.449432i | ||||
\(836\) | −16.4800 | + | 28.5443i | −0.569974 | + | 0.987225i | ||||
\(837\) | −28.1454 | − | 47.6133i | −0.972848 | − | 1.64576i | ||||
\(838\) | −19.0272 | − | 32.9560i | −0.657283 | − | 1.13845i | ||||
\(839\) | −17.8301 | + | 30.8827i | −0.615564 | + | 1.06619i | 0.374721 | + | 0.927137i | \(0.377738\pi\) |
−0.990285 | + | 0.139051i | \(0.955595\pi\) | |||||||
\(840\) | 27.9580 | + | 55.9099i | 0.964641 | + | 1.92908i | ||||
\(841\) | −12.4592 | − | 21.5799i | −0.429627 | − | 0.744136i | ||||
\(842\) | −28.2003 | + | 48.8443i | −0.971845 | + | 1.68328i | ||||
\(843\) | −21.2698 | − | 7.65921i | −0.732569 | − | 0.263797i | ||||
\(844\) | 25.7503 | + | 44.6009i | 0.886363 | + | 1.53523i | ||||
\(845\) | 9.90481 | + | 0.129112i | 0.340736 | + | 0.00444158i | ||||
\(846\) | 13.0817 | + | 35.1903i | 0.449759 | + | 1.20987i | ||||
\(847\) | −16.1503 | + | 17.3909i | −0.554932 | + | 0.597559i | ||||
\(848\) | −15.4450 | + | 26.7516i | −0.530385 | + | 0.918654i | ||||
\(849\) | 22.7405 | − | 4.09007i | 0.780451 | − | 0.140371i | ||||
\(850\) | 54.9007 | − | 29.8165i | 1.88308 | − | 1.02270i | ||||
\(851\) | − | 3.87927i | − | 0.132980i | ||||||
\(852\) | 15.8536 | + | 88.1449i | 0.543136 | + | 3.01979i | ||||
\(853\) | 12.0777 | − | 20.9192i | 0.413534 | − | 0.716261i | −0.581740 | − | 0.813375i | \(-0.697628\pi\) |
0.995273 | + | 0.0971139i | \(0.0309611\pi\) | |||||||
\(854\) | 2.66363 | − | 11.6470i | 0.0911476 | − | 0.398553i | ||||
\(855\) | 34.6227 | + | 6.32607i | 1.18407 | + | 0.216347i | ||||
\(856\) | −2.68925 | − | 4.65792i | −0.0919167 | − | 0.159204i | ||||
\(857\) | 46.6132 | − | 26.9122i | 1.59228 | − | 0.919302i | 0.599362 | − | 0.800478i | \(-0.295421\pi\) |
0.992915 | − | 0.118824i | \(-0.0379123\pi\) | |||||||
\(858\) | 24.5388 | + | 8.83637i | 0.837739 | + | 0.301669i | ||||
\(859\) | −14.8971 | − | 8.60083i | −0.508282 | − | 0.293457i | 0.223845 | − | 0.974625i | \(-0.428139\pi\) |
−0.732127 | + | 0.681168i | \(0.761472\pi\) | |||||||
\(860\) | 0.550253 | − | 42.2126i | 0.0187635 | − | 1.43944i | ||||
\(861\) | 1.77077 | + | 3.42870i | 0.0603477 | + | 0.116850i | ||||
\(862\) | −42.7428 | − | 24.6775i | −1.45582 | − | 0.840521i | ||||
\(863\) | 14.6092 | + | 25.3039i | 0.497304 | + | 0.861356i | 0.999995 | − | 0.00310991i | \(-0.000989916\pi\) |
−0.502691 | + | 0.864466i | \(0.667657\pi\) | |||||||
\(864\) | −20.4537 | + | 12.0907i | −0.695849 | + | 0.411334i | ||||
\(865\) | −26.4514 | + | 14.8154i | −0.899375 | + | 0.503740i | ||||
\(866\) | −42.8913 | −1.45751 | ||||||||
\(867\) | 8.22527 | + | 9.73462i | 0.279345 | + | 0.330605i | ||||
\(868\) | 27.6859 | − | 121.060i | 0.939720 | − | 4.10903i | ||||
\(869\) | 0.557957 | − | 0.322137i | 0.0189274 | − | 0.0109277i | ||||
\(870\) | −3.25225 | − | 19.5409i | −0.110262 | − | 0.662498i | ||||
\(871\) | −8.61653 | + | 4.97476i | −0.291960 | + | 0.168563i | ||||
\(872\) | −13.2393 | + | 22.9311i | −0.448339 | + | 0.776545i | ||||
\(873\) | −4.70100 | + | 27.7712i | −0.159105 | + | 0.939911i | ||||
\(874\) | − | 6.34529i | − | 0.214633i | ||||||
\(875\) | 28.5561 | + | 7.71693i | 0.965371 | + | 0.260880i | ||||
\(876\) | −23.4140 | + | 65.0211i | −0.791086 | + | 2.19686i | ||||
\(877\) | −28.2956 | − | 16.3364i | −0.955473 | − | 0.551643i | −0.0606963 | − | 0.998156i | \(-0.519332\pi\) |
−0.894777 | + | 0.446514i | \(0.852665\pi\) | |||||||
\(878\) | 4.19699i | 0.141641i | ||||||||
\(879\) | 6.07621 | − | 5.13409i | 0.204945 | − | 0.173168i | ||||
\(880\) | −18.1388 | − | 10.7901i | −0.611460 | − | 0.363734i | ||||
\(881\) | −51.6741 | −1.74094 | −0.870472 | − | 0.492217i | \(-0.836186\pi\) | ||||
−0.870472 | + | 0.492217i | \(0.836186\pi\) | |||||||
\(882\) | −52.9326 | − | 4.97691i | −1.78233 | − | 0.167581i | ||||
\(883\) | − | 18.8576i | − | 0.634610i | −0.948324 | − | 0.317305i | \(-0.897222\pi\) | ||
0.948324 | − | 0.317305i | \(-0.102778\pi\) | |||||||
\(884\) | − | 90.8587i | − | 3.05591i | ||||||
\(885\) | −0.498227 | − | 0.605488i | −0.0167477 | − | 0.0203533i | ||||
\(886\) | 91.3693 | 3.06961 | ||||||||
\(887\) | −33.3082 | − | 19.2305i | −1.11838 | − | 0.645697i | −0.177393 | − | 0.984140i | \(-0.556766\pi\) |
−0.940987 | + | 0.338443i | \(0.890100\pi\) | |||||||
\(888\) | −65.5421 | + | 55.3798i | −2.19945 | + | 1.85842i | ||||
\(889\) | −5.20744 | + | 22.7701i | −0.174652 | + | 0.763685i | ||||
\(890\) | 7.70246 | − | 12.9483i | 0.258187 | − | 0.434028i | ||||
\(891\) | 4.21992 | − | 12.1074i | 0.141373 | − | 0.405614i | ||||
\(892\) | 58.3605 | − | 101.083i | 1.95406 | − | 3.38452i | ||||
\(893\) | 12.9673 | + | 22.4600i | 0.433934 | + | 0.751596i | ||||
\(894\) | −14.2081 | − | 5.11633i | −0.475192 | − | 0.171116i | ||||
\(895\) | −0.0261607 | + | 2.00692i | −0.000874456 | + | 0.0670839i | ||||
\(896\) | 34.5182 | + | 7.89418i | 1.15317 | + | 0.263726i | ||||
\(897\) | −3.39974 | + | 0.611473i | −0.113514 | + | 0.0204165i | ||||
\(898\) | 66.8523i | 2.23089i | ||||||||
\(899\) | −10.7525 | + | 18.6238i | −0.358615 | + | 0.621139i | ||||
\(900\) | −12.7357 | + | 64.9062i | −0.424524 | + | 2.16354i | ||||
\(901\) | −19.9280 | + | 11.5054i | −0.663897 | + | 0.383301i | ||||
\(902\) | −2.63034 | − | 1.51863i | −0.0875807 | − | 0.0505647i | ||||
\(903\) | 16.5133 | + | 10.5955i | 0.549529 | + | 0.352598i | ||||
\(904\) | 28.0899 | + | 48.6532i | 0.934257 | + | 1.61818i | ||||
\(905\) | −26.2950 | + | 14.7278i | −0.874076 | + | 0.489570i | ||||
\(906\) | −48.1786 | − | 57.0195i | −1.60063 | − | 1.89435i | ||||
\(907\) | 5.68017 | − | 3.27945i | 0.188607 | − | 0.108892i | −0.402723 | − | 0.915322i | \(-0.631936\pi\) |
0.591330 | + | 0.806430i | \(0.298603\pi\) | |||||||
\(908\) | −29.6053 | + | 17.0926i | −0.982486 | + | 0.567239i | ||||
\(909\) | 42.6467 | + | 35.2901i | 1.41450 | + | 1.17050i | ||||
\(910\) | 43.1454 | − | 45.2618i | 1.43026 | − | 1.50042i | ||||
\(911\) | 40.3423 | + | 23.2916i | 1.33660 | + | 0.771686i | 0.986302 | − | 0.164952i | \(-0.0527469\pi\) |
0.350298 | + | 0.936638i | \(0.386080\pi\) | |||||||
\(912\) | −45.9891 | + | 38.8585i | −1.52285 | + | 1.28673i | ||||
\(913\) | −17.5236 | −0.579946 | ||||||||
\(914\) | 80.4828i | 2.66213i | ||||||||
\(915\) | 5.33444 | − | 4.38945i | 0.176351 | − | 0.145111i | ||||
\(916\) | −70.7544 | − | 40.8501i | −2.33779 | − | 1.34972i | ||||
\(917\) | −3.98017 | + | 4.28590i | −0.131437 | + | 0.141533i | ||||
\(918\) | −64.9224 | + | 0.666731i | −2.14276 | + | 0.0220054i | ||||
\(919\) | −25.8448 | − | 44.7644i | −0.852540 | − | 1.47664i | −0.878909 | − | 0.476990i | \(-0.841728\pi\) |
0.0263686 | − | 0.999652i | \(-0.491606\pi\) | |||||||
\(920\) | 6.51565 | + | 0.0849332i | 0.214814 | + | 0.00280016i | ||||
\(921\) | −35.1402 | + | 6.32027i | −1.15791 | + | 0.208260i | ||||
\(922\) | 14.6710 | − | 25.4109i | 0.483163 | − | 0.836863i | ||||
\(923\) | 42.3965 | − | 24.4776i | 1.39550 | − | 0.805691i | ||||
\(924\) | 25.5783 | − | 13.2100i | 0.841464 | − | 0.434578i | ||||
\(925\) | −1.05839 | + | 40.5902i | −0.0347996 | + | 1.33460i | ||||
\(926\) | 65.7340 | − | 37.9515i | 2.16015 | − | 1.24716i | ||||
\(927\) | −9.35818 | + | 55.2834i | −0.307363 | + | 1.81575i | ||||
\(928\) | 8.00041 | + | 4.61904i | 0.262626 | + | 0.151627i | ||||
\(929\) | 45.2591 | 1.48490 | 0.742452 | − | 0.669899i | \(-0.233663\pi\) | ||||
0.742452 | + | 0.669899i | \(0.233663\pi\) | |||||||
\(930\) | 80.5945 | − | 66.3173i | 2.64280 | − | 2.17463i | ||||
\(931\) | −36.6265 | + | 2.71307i | −1.20038 | + | 0.0889172i | ||||
\(932\) | 20.9704 | + | 36.3218i | 0.686909 | + | 1.18976i | ||||
\(933\) | −19.7086 | + | 3.54476i | −0.645231 | + | 0.116050i | ||||
\(934\) | −5.49669 | + | 3.17352i | −0.179857 | + | 0.103841i | ||||
\(935\) | −7.68290 | − | 13.7170i | −0.251258 | − | 0.448595i | ||||
\(936\) | 58.8653 | + | 48.7110i | 1.92407 | + | 1.59217i | ||||
\(937\) | 16.0761 | 0.525184 | 0.262592 | − | 0.964907i | \(-0.415423\pi\) | ||||
0.262592 | + | 0.964907i | \(0.415423\pi\) | |||||||
\(938\) | −3.55883 | + | 15.5614i | −0.116200 | + | 0.508097i | ||||
\(939\) | 49.5052 | − | 8.90393i | 1.61554 | − | 0.290569i | ||||
\(940\) | −42.5233 | + | 23.8173i | −1.38696 | + | 0.776835i | ||||
\(941\) | −23.6483 | −0.770912 | −0.385456 | − | 0.922726i | \(-0.625956\pi\) | ||||
−0.385456 | + | 0.922726i | \(0.625956\pi\) | |||||||
\(942\) | −20.2051 | + | 3.63406i | −0.658318 | + | 0.118404i | ||||
\(943\) | 0.402265 | 0.0130995 | ||||||||
\(944\) | 1.34136 | 0.0436574 | ||||||||
\(945\) | −22.4677 | − | 20.9810i | −0.730875 | − | 0.682512i | ||||
\(946\) | −15.4424 | −0.502077 | ||||||||
\(947\) | 28.5396 | 0.927413 | 0.463707 | − | 0.885989i | \(-0.346519\pi\) | ||||
0.463707 | + | 0.885989i | \(0.346519\pi\) | |||||||
\(948\) | 3.39947 | − | 0.611424i | 0.110410 | − | 0.0198581i | ||||
\(949\) | 37.7763 | 1.22627 | ||||||||
\(950\) | −1.73120 | + | 66.3931i | −0.0561675 | + | 2.15408i | ||||
\(951\) | −36.9672 | + | 6.64886i | −1.19874 | + | 0.215604i | ||||
\(952\) | −58.3699 | − | 54.2062i | −1.89178 | − | 1.75683i | ||||
\(953\) | 60.3601 | 1.95525 | 0.977627 | − | 0.210346i | \(-0.0674590\pi\) | ||||
0.977627 | + | 0.210346i | \(0.0674590\pi\) | |||||||
\(954\) | 5.91031 | − | 34.9152i | 0.191353 | − | 1.13042i | ||||
\(955\) | 3.85377 | − | 2.15850i | 0.124705 | − | 0.0698473i | ||||
\(956\) | −77.8321 | + | 44.9364i | −2.51727 | + | 1.45335i | ||||
\(957\) | −4.90646 | + | 0.882470i | −0.158603 | + | 0.0285262i | ||||
\(958\) | 45.0082 | + | 77.9565i | 1.45415 | + | 2.51866i | ||||
\(959\) | 3.76587 | + | 12.2273i | 0.121606 | + | 0.394841i | ||||
\(960\) | 4.11964 | + | 5.00654i | 0.132961 | + | 0.161585i | ||||
\(961\) | −82.3036 | −2.65495 | ||||||||
\(962\) | 74.3349 | + | 42.9173i | 2.39665 | + | 1.38371i | ||||
\(963\) | 2.03777 | + | 1.68626i | 0.0656663 | + | 0.0543388i | ||||
\(964\) | −34.5245 | + | 19.9328i | −1.11196 | + | 0.641991i | ||||
\(965\) | 32.3396 | − | 18.1134i | 1.04105 | − | 0.583091i | ||||
\(966\) | −2.99291 | + | 4.66450i | −0.0962952 | + | 0.150078i | ||||
\(967\) | 20.6715 | − | 11.9347i | 0.664752 | − | 0.383795i | −0.129333 | − | 0.991601i | \(-0.541284\pi\) |
0.794085 | + | 0.607807i | \(0.207950\pi\) | |||||||
\(968\) | 27.3616 | − | 47.3916i | 0.879434 | − | 1.52322i | ||||
\(969\) | −44.1421 | + | 7.93934i | −1.41805 | + | 0.255048i | ||||
\(970\) | −53.1460 | − | 0.692772i | −1.70642 | − | 0.0222436i | ||||
\(971\) | −21.2234 | − | 36.7601i | −0.681092 | − | 1.17969i | −0.974648 | − | 0.223745i | \(-0.928172\pi\) |
0.293555 | − | 0.955942i | \(-0.405161\pi\) | |||||||
\(972\) | 43.2767 | − | 53.4054i | 1.38810 | − | 1.71298i | ||||
\(973\) | 3.15914 | − | 0.972975i | 0.101277 | − | 0.0311922i | ||||
\(974\) | −39.1049 | − | 22.5772i | −1.25300 | − | 0.723422i | ||||
\(975\) | 35.7396 | − | 5.47051i | 1.14458 | − | 0.175197i | ||||
\(976\) | 11.8176i | 0.378271i | ||||||||
\(977\) | 7.00412 | 0.224082 | 0.112041 | − | 0.993704i | \(-0.464261\pi\) | ||||
0.112041 | + | 0.993704i | \(0.464261\pi\) | |||||||
\(978\) | 53.9781 | − | 45.6087i | 1.72603 | − | 1.45841i | ||||
\(979\) | −3.28349 | − | 1.89572i | −0.104941 | − | 0.0605875i | ||||
\(980\) | −4.20108 | − | 68.8931i | −0.134199 | − | 2.20071i | ||||
\(981\) | 2.17329 | − | 12.8387i | 0.0693879 | − | 0.409909i | ||||
\(982\) | 15.5269 | − | 8.96444i | 0.495482 | − | 0.286067i | ||||
\(983\) | 24.7050 | − | 14.2634i | 0.787967 | − | 0.454933i | −0.0512794 | − | 0.998684i | \(-0.516330\pi\) |
0.839246 | + | 0.543751i | \(0.182997\pi\) | |||||||
\(984\) | −5.74267 | − | 6.79646i | −0.183069 | − | 0.216663i | ||||
\(985\) | −26.8721 | − | 47.9774i | −0.856217 | − | 1.52869i | ||||
\(986\) | 12.6218 | + | 21.8616i | 0.401961 | + | 0.696216i | ||||
\(987\) | 1.06139 | − | 22.6270i | 0.0337845 | − | 0.720224i | ||||
\(988\) | 83.6493 | + | 48.2950i | 2.66124 | + | 1.53647i | ||||
\(989\) | 1.77124 | − | 1.02263i | 0.0563221 | − | 0.0325176i | ||||
\(990\) | 23.8010 | + | 4.34879i | 0.756445 | + | 0.138214i | ||||
\(991\) | 28.9247 | − | 50.0991i | 0.918824 | − | 1.59145i | 0.117620 | − | 0.993059i | \(-0.462474\pi\) |
0.801204 | − | 0.598391i | \(-0.204193\pi\) | |||||||
\(992\) | 48.6729i | 1.54536i | ||||||||
\(993\) | 10.1470 | − | 1.82503i | 0.322006 | − | 0.0579156i | ||||
\(994\) | 17.5108 | − | 76.5677i | 0.555407 | − | 2.42858i | ||||
\(995\) | 0.0211128 | − | 1.61967i | 0.000669321 | − | 0.0513469i | ||||
\(996\) | −88.3896 | − | 31.8290i | −2.80073 | − | 1.00854i | ||||
\(997\) | −1.10662 | − | 1.91671i | −0.0350469 | − | 0.0607030i | 0.847970 | − | 0.530044i | \(-0.177825\pi\) |
−0.883017 | + | 0.469341i | \(0.844491\pi\) | |||||||
\(998\) | 29.0773 | − | 50.3634i | 0.920427 | − | 1.59423i | ||||
\(999\) | 20.7221 | − | 36.7583i | 0.655617 | − | 1.16298i |
(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 | 315.2.bq.a.164.3 | yes | 88 | |
3.2 | odd | 2 | 945.2.bq.a.899.42 | 88 | |||
5.4 | even | 2 | inner | 315.2.bq.a.164.42 | yes | 88 | |
7.5 | odd | 6 | 315.2.u.a.299.42 | yes | 88 | ||
9.4 | even | 3 | 945.2.u.a.584.42 | 88 | |||
9.5 | odd | 6 | 315.2.u.a.59.3 | ✓ | 88 | ||
15.14 | odd | 2 | 945.2.bq.a.899.3 | 88 | |||
21.5 | even | 6 | 945.2.u.a.89.3 | 88 | |||
35.19 | odd | 6 | 315.2.u.a.299.3 | yes | 88 | ||
45.4 | even | 6 | 945.2.u.a.584.3 | 88 | |||
45.14 | odd | 6 | 315.2.u.a.59.42 | yes | 88 | ||
63.5 | even | 6 | inner | 315.2.bq.a.194.42 | yes | 88 | |
63.40 | odd | 6 | 945.2.bq.a.719.3 | 88 | |||
105.89 | even | 6 | 945.2.u.a.89.42 | 88 | |||
315.194 | even | 6 | inner | 315.2.bq.a.194.3 | yes | 88 | |
315.229 | odd | 6 | 945.2.bq.a.719.42 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.u.a.59.3 | ✓ | 88 | 9.5 | odd | 6 | ||
315.2.u.a.59.42 | yes | 88 | 45.14 | odd | 6 | ||
315.2.u.a.299.3 | yes | 88 | 35.19 | odd | 6 | ||
315.2.u.a.299.42 | yes | 88 | 7.5 | odd | 6 | ||
315.2.bq.a.164.3 | yes | 88 | 1.1 | even | 1 | trivial | |
315.2.bq.a.164.42 | yes | 88 | 5.4 | even | 2 | inner | |
315.2.bq.a.194.3 | yes | 88 | 315.194 | even | 6 | inner | |
315.2.bq.a.194.42 | yes | 88 | 63.5 | even | 6 | inner | |
945.2.u.a.89.3 | 88 | 21.5 | even | 6 | |||
945.2.u.a.89.42 | 88 | 105.89 | even | 6 | |||
945.2.u.a.584.3 | 88 | 45.4 | even | 6 | |||
945.2.u.a.584.42 | 88 | 9.4 | even | 3 | |||
945.2.bq.a.719.3 | 88 | 63.40 | odd | 6 | |||
945.2.bq.a.719.42 | 88 | 315.229 | odd | 6 | |||
945.2.bq.a.899.3 | 88 | 15.14 | odd | 2 | |||
945.2.bq.a.899.42 | 88 | 3.2 | odd | 2 |