Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [240,2,Mod(173,240)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(240, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("240.173");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 240 = 2^{4} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 240.bb (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.91640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 173.16 | ||
Character | \(\chi\) | \(=\) | 240.173 |
Dual form | 240.2.bb.a.197.16 |
$q$-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 \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(161\) | \(181\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.585912 | + | 1.28713i | −0.414303 | + | 0.910139i | ||||
\(3\) | −0.720802 | − | 1.57494i | −0.416155 | − | 0.909294i | ||||
\(4\) | −1.31341 | − | 1.50829i | −0.656707 | − | 0.754146i | ||||
\(5\) | −2.13443 | + | 0.666497i | −0.954545 | + | 0.298066i | ||||
\(6\) | 2.44948 | − | 0.00498857i | 0.999998 | − | 0.00203658i | ||||
\(7\) | 2.25736 | + | 2.25736i | 0.853202 | + | 0.853202i | 0.990526 | − | 0.137324i | \(-0.0438503\pi\) |
−0.137324 | + | 0.990526i | \(0.543850\pi\) | |||||||
\(8\) | 2.71091 | − | 0.806809i | 0.958453 | − | 0.285250i | ||||
\(9\) | −1.96089 | + | 2.27044i | −0.653630 | + | 0.756815i | ||||
\(10\) | 0.392719 | − | 3.13780i | 0.124189 | − | 0.992259i | ||||
\(11\) | 0.625251 | + | 0.625251i | 0.188520 | + | 0.188520i | 0.795056 | − | 0.606536i | \(-0.207441\pi\) |
−0.606536 | + | 0.795056i | \(0.707441\pi\) | |||||||
\(12\) | −1.42876 | + | 3.15573i | −0.412448 | + | 0.910981i | ||||
\(13\) | 4.23036i | 1.17329i | 0.809844 | + | 0.586645i | \(0.199552\pi\) | ||||
−0.809844 | + | 0.586645i | \(0.800448\pi\) | |||||||
\(14\) | −4.22813 | + | 1.58290i | −1.13002 | + | 0.423049i | ||||
\(15\) | 2.58819 | + | 2.88119i | 0.668269 | + | 0.743920i | ||||
\(16\) | −0.549890 | + | 3.96202i | −0.137472 | + | 0.990506i | ||||
\(17\) | −0.474827 | − | 0.474827i | −0.115162 | − | 0.115162i | 0.647177 | − | 0.762340i | \(-0.275949\pi\) |
−0.762340 | + | 0.647177i | \(0.775949\pi\) | |||||||
\(18\) | −1.77345 | − | 3.85420i | −0.418006 | − | 0.908444i | ||||
\(19\) | −5.88141 | + | 5.88141i | −1.34929 | + | 1.34929i | −0.462853 | + | 0.886435i | \(0.653174\pi\) |
−0.886435 | + | 0.462853i | \(0.846826\pi\) | |||||||
\(20\) | 3.80866 | + | 2.34395i | 0.851642 | + | 0.524124i | ||||
\(21\) | 1.92810 | − | 5.18232i | 0.420746 | − | 1.13088i | ||||
\(22\) | −1.17112 | + | 0.438438i | −0.249684 | + | 0.0934753i | ||||
\(23\) | 5.38015 | + | 5.38015i | 1.12184 | + | 1.12184i | 0.991465 | + | 0.130375i | \(0.0416181\pi\) |
0.130375 | + | 0.991465i | \(0.458382\pi\) | |||||||
\(24\) | −3.22471 | − | 3.68799i | −0.658241 | − | 0.752807i | ||||
\(25\) | 4.11156 | − | 2.84518i | 0.822313 | − | 0.569036i | ||||
\(26\) | −5.44503 | − | 2.47862i | −1.06786 | − | 0.486097i | ||||
\(27\) | 4.98923 | + | 1.45175i | 0.960178 | + | 0.279389i | ||||
\(28\) | 0.439911 | − | 6.36960i | 0.0831353 | − | 1.20374i | ||||
\(29\) | −3.26319 | − | 3.26319i | −0.605959 | − | 0.605959i | 0.335928 | − | 0.941888i | \(-0.390950\pi\) |
−0.941888 | + | 0.335928i | \(0.890950\pi\) | |||||||
\(30\) | −5.22492 | + | 1.64322i | −0.953936 | + | 0.300010i | ||||
\(31\) | 2.17660 | 0.390929 | 0.195465 | − | 0.980711i | \(-0.437378\pi\) | ||||
0.195465 | + | 0.980711i | \(0.437378\pi\) | |||||||
\(32\) | −4.77746 | − | 3.02918i | −0.844543 | − | 0.535488i | ||||
\(33\) | 0.534053 | − | 1.43542i | 0.0929666 | − | 0.249874i | ||||
\(34\) | 0.889371 | − | 0.332957i | 0.152526 | − | 0.0571017i | ||||
\(35\) | −6.32269 | − | 3.31365i | −1.06873 | − | 0.560109i | ||||
\(36\) | 5.99995 | − | 0.0244389i | 0.999992 | − | 0.00407314i | ||||
\(37\) | − | 5.79914i | − | 0.953374i | −0.879073 | − | 0.476687i | \(-0.841838\pi\) | ||
0.879073 | − | 0.476687i | \(-0.158162\pi\) | |||||||
\(38\) | −4.12416 | − | 11.0161i | −0.669026 | − | 1.78705i | ||||
\(39\) | 6.66257 | − | 3.04925i | 1.06687 | − | 0.488271i | ||||
\(40\) | −5.24852 | + | 3.52889i | −0.829863 | + | 0.557967i | ||||
\(41\) | −8.27629 | −1.29254 | −0.646270 | − | 0.763109i | \(-0.723672\pi\) | ||||
−0.646270 | + | 0.763109i | \(0.723672\pi\) | |||||||
\(42\) | 5.54063 | + | 5.51811i | 0.854938 | + | 0.851462i | ||||
\(43\) | 1.47361 | 0.224724 | 0.112362 | − | 0.993667i | \(-0.464158\pi\) | ||||
0.112362 | + | 0.993667i | \(0.464158\pi\) | |||||||
\(44\) | 0.121848 | − | 1.76428i | 0.0183693 | − | 0.265974i | ||||
\(45\) | 2.67213 | − | 6.15302i | 0.398338 | − | 0.917239i | ||||
\(46\) | −10.0773 | + | 3.77267i | −1.48581 | + | 0.556249i | ||||
\(47\) | 4.86796 | + | 4.86796i | 0.710064 | + | 0.710064i | 0.966548 | − | 0.256484i | \(-0.0825641\pi\) |
−0.256484 | + | 0.966548i | \(0.582564\pi\) | |||||||
\(48\) | 6.63632 | − | 1.98979i | 0.957870 | − | 0.287201i | ||||
\(49\) | 3.19134i | 0.455906i | ||||||||
\(50\) | 1.25310 | + | 6.95915i | 0.177215 | + | 0.984172i | ||||
\(51\) | −0.405569 | + | 1.09008i | −0.0567910 | + | 0.152642i | ||||
\(52\) | 6.38062 | − | 5.55621i | 0.884832 | − | 0.770508i | ||||
\(53\) | 2.04898i | 0.281449i | 0.990049 | + | 0.140724i | \(0.0449431\pi\) | ||||
−0.990049 | + | 0.140724i | \(0.955057\pi\) | |||||||
\(54\) | −4.79184 | + | 5.57120i | −0.652087 | + | 0.758144i | ||||
\(55\) | −1.75128 | − | 0.917826i | −0.236143 | − | 0.123760i | ||||
\(56\) | 7.94077 | + | 4.29825i | 1.06113 | + | 0.574378i | ||||
\(57\) | 13.5022 | + | 5.02355i | 1.78841 | + | 0.665386i | ||||
\(58\) | 6.11210 | − | 2.28821i | 0.802558 | − | 0.300457i | ||||
\(59\) | 1.68318 | − | 1.68318i | 0.219131 | − | 0.219131i | −0.589001 | − | 0.808132i | \(-0.700479\pi\) |
0.808132 | + | 0.589001i | \(0.200479\pi\) | |||||||
\(60\) | 0.946306 | − | 7.68795i | 0.122168 | − | 0.992509i | ||||
\(61\) | 2.36862 | + | 2.36862i | 0.303270 | + | 0.303270i | 0.842292 | − | 0.539022i | \(-0.181206\pi\) |
−0.539022 | + | 0.842292i | \(0.681206\pi\) | |||||||
\(62\) | −1.27530 | + | 2.80157i | −0.161963 | + | 0.355800i | ||||
\(63\) | −9.55164 | + | 0.698777i | −1.20339 | + | 0.0880376i | ||||
\(64\) | 6.69812 | − | 4.37438i | 0.837265 | − | 0.546798i | ||||
\(65\) | −2.81952 | − | 9.02940i | −0.349719 | − | 1.11996i | ||||
\(66\) | 1.53466 | + | 1.52842i | 0.188904 | + | 0.188136i | ||||
\(67\) | −5.00068 | −0.610930 | −0.305465 | − | 0.952203i | \(-0.598812\pi\) | ||||
−0.305465 | + | 0.952203i | \(0.598812\pi\) | |||||||
\(68\) | −0.0925335 | + | 1.33982i | −0.0112213 | + | 0.162477i | ||||
\(69\) | 4.59541 | − | 12.3515i | 0.553222 | − | 1.48694i | ||||
\(70\) | 7.96964 | − | 6.19663i | 0.952555 | − | 0.740639i | ||||
\(71\) | −7.16619 | −0.850470 | −0.425235 | − | 0.905083i | \(-0.639809\pi\) | ||||
−0.425235 | + | 0.905083i | \(0.639809\pi\) | |||||||
\(72\) | −3.48399 | + | 7.73704i | −0.410592 | + | 0.911819i | ||||
\(73\) | −3.32064 | + | 3.32064i | −0.388651 | + | 0.388651i | −0.874206 | − | 0.485555i | \(-0.838618\pi\) |
0.485555 | + | 0.874206i | \(0.338618\pi\) | |||||||
\(74\) | 7.46426 | + | 3.39779i | 0.867703 | + | 0.394985i | ||||
\(75\) | −7.44462 | − | 4.42467i | −0.859630 | − | 0.510917i | ||||
\(76\) | 16.5956 | + | 1.14616i | 1.90365 | + | 0.131474i | ||||
\(77\) | 2.82283i | 0.321692i | ||||||||
\(78\) | 0.0211034 | + | 10.3622i | 0.00238950 | + | 1.17329i | ||||
\(79\) | − | 4.14820i | − | 0.466708i | −0.972392 | − | 0.233354i | \(-0.925030\pi\) | ||
0.972392 | − | 0.233354i | \(-0.0749702\pi\) | |||||||
\(80\) | −1.46698 | − | 8.82315i | −0.164013 | − | 0.986458i | ||||
\(81\) | −1.30983 | − | 8.90418i | −0.145537 | − | 0.989353i | ||||
\(82\) | 4.84918 | − | 10.6527i | 0.535503 | − | 1.17639i | ||||
\(83\) | 9.30402 | 1.02125 | 0.510625 | − | 0.859804i | \(-0.329414\pi\) | ||||
0.510625 | + | 0.859804i | \(0.329414\pi\) | |||||||
\(84\) | −10.3488 | + | 3.89839i | −1.12915 | + | 0.425349i | ||||
\(85\) | 1.32995 | + | 0.697013i | 0.144254 | + | 0.0756017i | ||||
\(86\) | −0.863407 | + | 1.89673i | −0.0931036 | + | 0.204530i | ||||
\(87\) | −2.78722 | + | 7.49145i | −0.298822 | + | 0.803168i | ||||
\(88\) | 2.19946 | + | 1.19054i | 0.234463 | + | 0.126913i | ||||
\(89\) | 4.28445i | 0.454150i | 0.973877 | + | 0.227075i | \(0.0729163\pi\) | ||||
−0.973877 | + | 0.227075i | \(0.927084\pi\) | |||||||
\(90\) | 6.35411 | + | 7.04452i | 0.669782 | + | 0.742557i | ||||
\(91\) | −9.54944 | + | 9.54944i | −1.00105 | + | 1.00105i | ||||
\(92\) | 1.04848 | − | 15.1812i | 0.109311 | − | 1.58275i | ||||
\(93\) | −1.56890 | − | 3.42802i | −0.162687 | − | 0.355470i | ||||
\(94\) | −9.11789 | + | 3.41350i | −0.940439 | + | 0.352076i | ||||
\(95\) | 8.63350 | − | 16.4734i | 0.885779 | − | 1.69013i | ||||
\(96\) | −1.32718 | + | 9.70766i | −0.135455 | + | 0.990784i | ||||
\(97\) | −10.4189 | + | 10.4189i | −1.05788 | + | 1.05788i | −0.0596585 | + | 0.998219i | \(0.519001\pi\) |
−0.998219 | + | 0.0596585i | \(0.980999\pi\) | |||||||
\(98\) | −4.10768 | − | 1.86985i | −0.414938 | − | 0.188883i | ||||
\(99\) | −2.64565 | + | 0.193550i | −0.265897 | + | 0.0194525i | ||||
\(100\) | −9.69154 | − | 2.46454i | −0.969154 | − | 0.246454i | ||||
\(101\) | 6.10484 | + | 6.10484i | 0.607455 | + | 0.607455i | 0.942280 | − | 0.334826i | \(-0.108677\pi\) |
−0.334826 | + | 0.942280i | \(0.608677\pi\) | |||||||
\(102\) | −1.16545 | − | 1.16071i | −0.115397 | − | 0.114928i | ||||
\(103\) | 1.66989 | − | 1.66989i | 0.164539 | − | 0.164539i | −0.620035 | − | 0.784574i | \(-0.712882\pi\) |
0.784574 | + | 0.620035i | \(0.212882\pi\) | |||||||
\(104\) | 3.41309 | + | 11.4681i | 0.334681 | + | 1.12454i | ||||
\(105\) | −0.661396 | + | 12.3464i | −0.0645456 | + | 1.20488i | ||||
\(106\) | −2.63730 | − | 1.20052i | −0.256158 | − | 0.116605i | ||||
\(107\) | 0.979433 | 0.0946854 | 0.0473427 | − | 0.998879i | \(-0.484925\pi\) | ||||
0.0473427 | + | 0.998879i | \(0.484925\pi\) | |||||||
\(108\) | −4.36327 | − | 9.43196i | −0.419855 | − | 0.907591i | ||||
\(109\) | 0.903748 | − | 0.903748i | 0.0865634 | − | 0.0865634i | −0.662499 | − | 0.749063i | \(-0.730504\pi\) |
0.749063 | + | 0.662499i | \(0.230504\pi\) | |||||||
\(110\) | 2.20746 | − | 1.71636i | 0.210473 | − | 0.163649i | ||||
\(111\) | −9.13332 | + | 4.18004i | −0.866896 | + | 0.396751i | ||||
\(112\) | −10.1850 | + | 7.70241i | −0.962393 | + | 0.727809i | ||||
\(113\) | −6.43840 | + | 6.43840i | −0.605673 | + | 0.605673i | −0.941812 | − | 0.336139i | \(-0.890879\pi\) |
0.336139 | + | 0.941812i | \(0.390879\pi\) | |||||||
\(114\) | −14.3771 | + | 14.4358i | −1.34654 | + | 1.35203i | ||||
\(115\) | −15.0694 | − | 7.89770i | −1.40523 | − | 0.736464i | ||||
\(116\) | −0.635925 | + | 9.20776i | −0.0590442 | + | 0.854919i | ||||
\(117\) | −9.60479 | − | 8.29526i | −0.887964 | − | 0.766898i | ||||
\(118\) | 1.18027 | + | 3.15266i | 0.108653 | + | 0.290226i | ||||
\(119\) | − | 2.14371i | − | 0.196513i | ||||||
\(120\) | 9.34094 | + | 5.72248i | 0.852707 | + | 0.522389i | ||||
\(121\) | − | 10.2181i | − | 0.928920i | ||||||
\(122\) | −4.43652 | + | 1.66092i | −0.401664 | + | 0.150373i | ||||
\(123\) | 5.96557 | + | 13.0347i | 0.537897 | + | 1.17530i | ||||
\(124\) | −2.85878 | − | 3.28295i | −0.256726 | − | 0.294818i | ||||
\(125\) | −6.87954 | + | 8.81317i | −0.615324 | + | 0.788274i | ||||
\(126\) | 4.69700 | − | 12.7036i | 0.418442 | − | 1.13173i | ||||
\(127\) | 13.2854 | − | 13.2854i | 1.17889 | − | 1.17889i | 0.198861 | − | 0.980028i | \(-0.436276\pi\) |
0.980028 | − | 0.198861i | \(-0.0637242\pi\) | |||||||
\(128\) | 1.70589 | + | 11.1844i | 0.150781 | + | 0.988567i | ||||
\(129\) | −1.06218 | − | 2.32085i | −0.0935199 | − | 0.204340i | ||||
\(130\) | 13.2740 | + | 1.66134i | 1.16421 | + | 0.145709i | ||||
\(131\) | 8.97549 | − | 8.97549i | 0.784192 | − | 0.784192i | −0.196343 | − | 0.980535i | \(-0.562907\pi\) |
0.980535 | + | 0.196343i | \(0.0629066\pi\) | |||||||
\(132\) | −2.86646 | + | 1.07979i | −0.249493 | + | 0.0939836i | ||||
\(133\) | −26.5529 | −2.30243 | ||||||||
\(134\) | 2.92996 | − | 6.43653i | 0.253110 | − | 0.556031i | ||||
\(135\) | −11.6167 | + | 0.226657i | −0.999810 | + | 0.0195076i | ||||
\(136\) | −1.67031 | − | 0.904120i | −0.143228 | − | 0.0775277i | ||||
\(137\) | 8.16373 | − | 8.16373i | 0.697474 | − | 0.697474i | −0.266391 | − | 0.963865i | \(-0.585831\pi\) |
0.963865 | + | 0.266391i | \(0.0858312\pi\) | |||||||
\(138\) | 13.2054 | + | 13.1518i | 1.12412 | + | 1.11955i | ||||
\(139\) | 5.96874 | + | 5.96874i | 0.506262 | + | 0.506262i | 0.913377 | − | 0.407115i | \(-0.133465\pi\) |
−0.407115 | + | 0.913377i | \(0.633465\pi\) | |||||||
\(140\) | 3.30636 | + | 13.8887i | 0.279439 | + | 1.17381i | ||||
\(141\) | 4.15792 | − | 11.1756i | 0.350160 | − | 0.941154i | ||||
\(142\) | 4.19876 | − | 9.22383i | 0.352352 | − | 0.774046i | ||||
\(143\) | −2.64504 | + | 2.64504i | −0.221189 | + | 0.221189i | ||||
\(144\) | −7.91728 | − | 9.01758i | −0.659773 | − | 0.751465i | ||||
\(145\) | 9.13995 | + | 4.79014i | 0.759032 | + | 0.397799i | ||||
\(146\) | −2.32849 | − | 6.21970i | −0.192707 | − | 0.514746i | ||||
\(147\) | 5.02618 | − | 2.30033i | 0.414553 | − | 0.189728i | ||||
\(148\) | −8.74680 | + | 7.61668i | −0.718983 | + | 0.626087i | ||||
\(149\) | 9.56012 | − | 9.56012i | 0.783196 | − | 0.783196i | −0.197173 | − | 0.980369i | \(-0.563176\pi\) |
0.980369 | + | 0.197173i | \(0.0631760\pi\) | |||||||
\(150\) | 10.0570 | − | 6.98973i | 0.821152 | − | 0.570709i | ||||
\(151\) | 15.1274i | 1.23105i | 0.788119 | + | 0.615523i | \(0.211055\pi\) | ||||
−0.788119 | + | 0.615523i | \(0.788945\pi\) | |||||||
\(152\) | −11.1988 | + | 20.6892i | −0.908345 | + | 1.67811i | ||||
\(153\) | 2.00915 | − | 0.146985i | 0.162430 | − | 0.0118830i | ||||
\(154\) | −3.63336 | − | 1.65393i | −0.292784 | − | 0.133278i | ||||
\(155\) | −4.64580 | + | 1.45070i | −0.373160 | + | 0.116523i | ||||
\(156\) | −13.3499 | − | 6.04418i | −1.06885 | − | 0.483922i | ||||
\(157\) | −4.00661 | −0.319762 | −0.159881 | − | 0.987136i | \(-0.551111\pi\) | ||||
−0.159881 | + | 0.987136i | \(0.551111\pi\) | |||||||
\(158\) | 5.33927 | + | 2.43048i | 0.424770 | + | 0.193358i | ||||
\(159\) | 3.22702 | − | 1.47691i | 0.255920 | − | 0.117126i | ||||
\(160\) | 12.2161 | + | 3.28140i | 0.965765 | + | 0.259418i | ||||
\(161\) | 24.2899i | 1.91431i | ||||||||
\(162\) | 12.2283 | + | 3.53114i | 0.960745 | + | 0.277433i | ||||
\(163\) | − | 5.84413i | − | 0.457747i | −0.973456 | − | 0.228874i | \(-0.926496\pi\) | ||
0.973456 | − | 0.228874i | \(-0.0735043\pi\) | |||||||
\(164\) | 10.8702 | + | 12.4831i | 0.848820 | + | 0.974764i | ||||
\(165\) | −0.183196 | + | 3.41974i | −0.0142618 | + | 0.266226i | ||||
\(166\) | −5.45134 | + | 11.9755i | −0.423106 | + | 0.929479i | ||||
\(167\) | 6.24024 | − | 6.24024i | 0.482884 | − | 0.482884i | −0.423168 | − | 0.906051i | \(-0.639082\pi\) |
0.906051 | + | 0.423168i | \(0.139082\pi\) | |||||||
\(168\) | 1.04578 | − | 15.6044i | 0.0806836 | − | 1.20391i | ||||
\(169\) | −4.89594 | −0.376611 | ||||||||
\(170\) | −1.67638 | + | 1.30344i | −0.128573 | + | 0.0999690i | ||||
\(171\) | −1.82062 | − | 24.8862i | −0.139226 | − | 1.90310i | ||||
\(172\) | −1.93546 | − | 2.22264i | −0.147578 | − | 0.169474i | ||||
\(173\) | 4.70864 | 0.357991 | 0.178996 | − | 0.983850i | \(-0.442715\pi\) | ||||
0.178996 | + | 0.983850i | \(0.442715\pi\) | |||||||
\(174\) | −8.00941 | − | 7.97686i | −0.607192 | − | 0.604724i | ||||
\(175\) | 15.7039 | + | 2.85869i | 1.18710 | + | 0.216097i | ||||
\(176\) | −2.82108 | + | 2.13344i | −0.212647 | + | 0.160814i | ||||
\(177\) | −3.86414 | − | 1.43767i | −0.290447 | − | 0.108062i | ||||
\(178\) | −5.51464 | − | 2.51031i | −0.413340 | − | 0.188156i | ||||
\(179\) | 2.45220 | + | 2.45220i | 0.183286 | + | 0.183286i | 0.792786 | − | 0.609500i | \(-0.208630\pi\) |
−0.609500 | + | 0.792786i | \(0.708630\pi\) | |||||||
\(180\) | −12.7902 | + | 4.05111i | −0.953323 | + | 0.301952i | ||||
\(181\) | 9.34217 | − | 9.34217i | 0.694398 | − | 0.694398i | −0.268798 | − | 0.963196i | \(-0.586626\pi\) |
0.963196 | + | 0.268798i | \(0.0866265\pi\) | |||||||
\(182\) | −6.69625 | − | 17.8865i | −0.496359 | − | 1.32584i | ||||
\(183\) | 2.02313 | − | 5.43774i | 0.149554 | − | 0.401969i | ||||
\(184\) | 18.9259 | + | 10.2444i | 1.39524 | + | 0.755226i | ||||
\(185\) | 3.86511 | + | 12.3779i | 0.284169 | + | 0.910038i | ||||
\(186\) | 5.33156 | − | 0.0108581i | 0.390929 | − | 0.000796157i | ||||
\(187\) | − | 0.593772i | − | 0.0434209i | ||||||
\(188\) | 0.948659 | − | 13.7359i | 0.0691881 | − | 1.00180i | ||||
\(189\) | 7.98537 | + | 14.5396i | 0.580851 | + | 1.05760i | ||||
\(190\) | 16.1449 | + | 20.7644i | 1.17128 | + | 1.50641i | ||||
\(191\) | 2.62352i | 0.189831i | 0.995485 | + | 0.0949156i | \(0.0302581\pi\) | ||||
−0.995485 | + | 0.0949156i | \(0.969742\pi\) | |||||||
\(192\) | −11.7174 | − | 7.39609i | −0.845632 | − | 0.533767i | ||||
\(193\) | −5.81327 | − | 5.81327i | −0.418448 | − | 0.418448i | 0.466220 | − | 0.884669i | \(-0.345615\pi\) |
−0.884669 | + | 0.466220i | \(0.845615\pi\) | |||||||
\(194\) | −7.30592 | − | 19.5150i | −0.524534 | − | 1.40110i | ||||
\(195\) | −12.1885 | + | 10.9490i | −0.872834 | + | 0.784074i | ||||
\(196\) | 4.81348 | − | 4.19155i | 0.343820 | − | 0.299397i | ||||
\(197\) | 4.81749 | 0.343232 | 0.171616 | − | 0.985164i | \(-0.445101\pi\) | ||||
0.171616 | + | 0.985164i | \(0.445101\pi\) | |||||||
\(198\) | 1.30099 | − | 3.51870i | 0.0924575 | − | 0.250063i | ||||
\(199\) | 19.9136 | 1.41164 | 0.705818 | − | 0.708393i | \(-0.250580\pi\) | ||||
0.705818 | + | 0.708393i | \(0.250580\pi\) | |||||||
\(200\) | 8.85059 | − | 11.0303i | 0.625831 | − | 0.779959i | ||||
\(201\) | 3.60450 | + | 7.87578i | 0.254242 | + | 0.555515i | ||||
\(202\) | −11.4346 | + | 4.28083i | −0.804538 | + | 0.301198i | ||||
\(203\) | − | 14.7324i | − | 1.03401i | ||||||
\(204\) | 2.17684 | − | 0.820011i | 0.152409 | − | 0.0574122i | ||||
\(205\) | 17.6651 | − | 5.51612i | 1.23379 | − | 0.385263i | ||||
\(206\) | 1.17096 | + | 3.12778i | 0.0815846 | + | 0.217923i | ||||
\(207\) | −22.7652 | + | 1.66545i | −1.58229 | + | 0.115757i | ||||
\(208\) | −16.7608 | − | 2.32623i | −1.16215 | − | 0.161295i | ||||
\(209\) | −7.35472 | −0.508736 | ||||||||
\(210\) | −15.5039 | − | 8.08519i | −1.06987 | − | 0.557931i | ||||
\(211\) | 5.67680 | + | 5.67680i | 0.390807 | + | 0.390807i | 0.874975 | − | 0.484168i | \(-0.160878\pi\) |
−0.484168 | + | 0.874975i | \(0.660878\pi\) | |||||||
\(212\) | 3.09046 | − | 2.69116i | 0.212253 | − | 0.184829i | ||||
\(213\) | 5.16540 | + | 11.2863i | 0.353928 | + | 0.773327i | ||||
\(214\) | −0.573862 | + | 1.26066i | −0.0392284 | + | 0.0861769i | ||||
\(215\) | −3.14532 | + | 0.982157i | −0.214509 | + | 0.0669825i | ||||
\(216\) | 14.6967 | − | 0.0897938i | 0.999981 | − | 0.00610969i | ||||
\(217\) | 4.91338 | + | 4.91338i | 0.333542 | + | 0.333542i | ||||
\(218\) | 0.633726 | + | 1.69276i | 0.0429213 | + | 0.114648i | ||||
\(219\) | 7.62333 | + | 2.83629i | 0.515137 | + | 0.191659i | ||||
\(220\) | 0.915808 | + | 3.84693i | 0.0617437 | + | 0.259360i | ||||
\(221\) | 2.00869 | − | 2.00869i | 0.135119 | − | 0.135119i | ||||
\(222\) | −0.0289294 | − | 14.2049i | −0.00194162 | − | 0.953372i | ||||
\(223\) | 13.0772 | + | 13.0772i | 0.875715 | + | 0.875715i | 0.993088 | − | 0.117373i | \(-0.0374473\pi\) |
−0.117373 | + | 0.993088i | \(0.537447\pi\) | |||||||
\(224\) | −3.94649 | − | 17.6224i | −0.263686 | − | 1.17744i | ||||
\(225\) | −1.60250 | + | 14.9142i | −0.106834 | + | 0.994277i | ||||
\(226\) | −4.51473 | − | 12.0594i | −0.300315 | − | 0.802179i | ||||
\(227\) | 6.25086i | 0.414884i | 0.978247 | + | 0.207442i | \(0.0665138\pi\) | ||||
−0.978247 | + | 0.207442i | \(0.933486\pi\) | |||||||
\(228\) | −10.1570 | − | 26.9633i | −0.672665 | − | 1.78569i | ||||
\(229\) | 14.3510 | + | 14.3510i | 0.948343 | + | 0.948343i | 0.998730 | − | 0.0503872i | \(-0.0160455\pi\) |
−0.0503872 | + | 0.998730i | \(0.516046\pi\) | |||||||
\(230\) | 18.9947 | − | 14.7689i | 1.25247 | − | 0.973835i | ||||
\(231\) | 4.44580 | − | 2.03470i | 0.292512 | − | 0.133874i | ||||
\(232\) | −11.4790 | − | 6.21346i | −0.753633 | − | 0.407934i | ||||
\(233\) | −16.9877 | − | 16.9877i | −1.11290 | − | 1.11290i | −0.992756 | − | 0.120149i | \(-0.961663\pi\) |
−0.120149 | − | 0.992756i | \(-0.538337\pi\) | |||||||
\(234\) | 16.3047 | − | 7.50233i | 1.06587 | − | 0.490443i | ||||
\(235\) | −13.6348 | − | 7.14582i | −0.889435 | − | 0.466142i | ||||
\(236\) | −4.74943 | − | 0.328015i | −0.309161 | − | 0.0213519i | ||||
\(237\) | −6.53317 | + | 2.99003i | −0.424375 | + | 0.194223i | ||||
\(238\) | 2.75923 | + | 1.25603i | 0.178855 | + | 0.0814160i | ||||
\(239\) | −0.0251242 | −0.00162515 | −0.000812575 | − | 1.00000i | \(-0.500259\pi\) | ||||
−0.000812575 | 1.00000i | \(0.500259\pi\) | ||||||||
\(240\) | −12.8386 | + | 8.67015i | −0.828725 | + | 0.559656i | ||||
\(241\) | −3.71325 | −0.239191 | −0.119596 | − | 0.992823i | \(-0.538160\pi\) | ||||
−0.119596 | + | 0.992823i | \(0.538160\pi\) | |||||||
\(242\) | 13.1521 | + | 5.98692i | 0.845447 | + | 0.384854i | ||||
\(243\) | −13.0794 | + | 8.48106i | −0.839046 | + | 0.544060i | ||||
\(244\) | 0.461592 | − | 6.68354i | 0.0295504 | − | 0.427870i | ||||
\(245\) | −2.12702 | − | 6.81169i | −0.135890 | − | 0.435183i | ||||
\(246\) | −20.2727 | + | 0.0412869i | −1.29254 | + | 0.00263235i | ||||
\(247\) | −24.8805 | − | 24.8805i | −1.58311 | − | 1.58311i | ||||
\(248\) | 5.90059 | − | 1.75610i | 0.374688 | − | 0.111513i | ||||
\(249\) | −6.70636 | − | 14.6533i | −0.424998 | − | 0.928615i | ||||
\(250\) | −7.31290 | − | 14.0186i | −0.462509 | − | 0.886615i | ||||
\(251\) | −10.2814 | − | 10.2814i | −0.648954 | − | 0.648954i | 0.303786 | − | 0.952740i | \(-0.401749\pi\) |
−0.952740 | + | 0.303786i | \(0.901749\pi\) | |||||||
\(252\) | 13.5992 | + | 13.4889i | 0.856670 | + | 0.849719i | ||||
\(253\) | 6.72790i | 0.422979i | ||||||||
\(254\) | 9.31597 | + | 24.8841i | 0.584536 | + | 1.56137i | ||||
\(255\) | 0.139122 | − | 2.59701i | 0.00871215 | − | 0.162631i | ||||
\(256\) | −15.3952 | − | 4.35735i | −0.962203 | − | 0.272334i | ||||
\(257\) | 14.3393 | + | 14.3393i | 0.894460 | + | 0.894460i | 0.994939 | − | 0.100480i | \(-0.0320377\pi\) |
−0.100480 | + | 0.994939i | \(0.532038\pi\) | |||||||
\(258\) | 3.60959 | − | 0.00735121i | 0.224723 | − | 0.000457667i | ||||
\(259\) | 13.0908 | − | 13.0908i | 0.813420 | − | 0.813420i | ||||
\(260\) | −9.91577 | + | 16.1120i | −0.614950 | + | 0.999223i | ||||
\(261\) | 13.8076 | − | 1.01014i | 0.854672 | − | 0.0625259i | ||||
\(262\) | 6.29378 | + | 16.8115i | 0.388831 | + | 1.03862i | ||||
\(263\) | 6.05009 | + | 6.05009i | 0.373065 | + | 0.373065i | 0.868592 | − | 0.495528i | \(-0.165025\pi\) |
−0.495528 | + | 0.868592i | \(0.665025\pi\) | |||||||
\(264\) | 0.289664 | − | 4.32217i | 0.0178276 | − | 0.266011i | ||||
\(265\) | −1.36564 | − | 4.37340i | −0.0838904 | − | 0.268656i | ||||
\(266\) | 15.5577 | − | 34.1771i | 0.953902 | − | 2.09553i | ||||
\(267\) | 6.74776 | − | 3.08824i | 0.412956 | − | 0.188997i | ||||
\(268\) | 6.56796 | + | 7.54248i | 0.401202 | + | 0.460730i | ||||
\(269\) | −21.6306 | − | 21.6306i | −1.31884 | − | 1.31884i | −0.914695 | − | 0.404145i | \(-0.867569\pi\) |
−0.404145 | − | 0.914695i | \(-0.632431\pi\) | |||||||
\(270\) | 6.51465 | − | 15.0851i | 0.396469 | − | 0.918048i | ||||
\(271\) | −9.92625 | −0.602977 | −0.301488 | − | 0.953470i | \(-0.597483\pi\) | ||||
−0.301488 | + | 0.953470i | \(0.597483\pi\) | |||||||
\(272\) | 2.14238 | − | 1.62017i | 0.129901 | − | 0.0982373i | ||||
\(273\) | 21.9231 | + | 8.15657i | 1.32685 | + | 0.493658i | ||||
\(274\) | 5.72456 | + | 15.2910i | 0.345833 | + | 0.923764i | ||||
\(275\) | 4.34971 | + | 0.791810i | 0.262298 | + | 0.0477479i | ||||
\(276\) | −24.6653 | + | 9.29136i | −1.48468 | + | 0.559274i | ||||
\(277\) | 22.7551i | 1.36722i | 0.729848 | + | 0.683610i | \(0.239591\pi\) | ||||
−0.729848 | + | 0.683610i | \(0.760409\pi\) | |||||||
\(278\) | −11.1797 | + | 4.18540i | −0.670515 | + | 0.251023i | ||||
\(279\) | −4.26808 | + | 4.94185i | −0.255523 | + | 0.295861i | ||||
\(280\) | −19.8138 | − | 3.88181i | −1.18410 | − | 0.231983i | ||||
\(281\) | 17.0446 | 1.01680 | 0.508398 | − | 0.861122i | \(-0.330238\pi\) | ||||
0.508398 | + | 0.861122i | \(0.330238\pi\) | |||||||
\(282\) | 11.9483 | + | 11.8997i | 0.711509 | + | 0.708617i | ||||
\(283\) | 13.2921 | 0.790136 | 0.395068 | − | 0.918652i | \(-0.370721\pi\) | ||||
0.395068 | + | 0.918652i | \(0.370721\pi\) | |||||||
\(284\) | 9.41217 | + | 10.8087i | 0.558510 | + | 0.641379i | ||||
\(285\) | −32.1677 | − | 1.72323i | −1.90545 | − | 0.102075i | ||||
\(286\) | −1.85475 | − | 4.95427i | −0.109674 | − | 0.292952i | ||||
\(287\) | −18.6826 | − | 18.6826i | −1.10280 | − | 1.10280i | ||||
\(288\) | 16.2456 | − | 4.90706i | 0.957283 | − | 0.289152i | ||||
\(289\) | − | 16.5491i | − | 0.973475i | ||||||
\(290\) | −11.5207 | + | 8.95771i | −0.676522 | + | 0.526015i | ||||
\(291\) | 23.9191 | + | 8.89919i | 1.40216 | + | 0.521680i | ||||
\(292\) | 9.36986 | + | 0.647120i | 0.548329 | + | 0.0378698i | ||||
\(293\) | 15.0444i | 0.878903i | 0.898266 | + | 0.439451i | \(0.144827\pi\) | ||||
−0.898266 | + | 0.439451i | \(0.855173\pi\) | |||||||
\(294\) | 0.0159202 | + | 7.81715i | 0.000928488 | + | 0.455905i | ||||
\(295\) | −2.47079 | + | 4.71445i | −0.143855 | + | 0.274486i | ||||
\(296\) | −4.67880 | − | 15.7210i | −0.271950 | − | 0.913764i | ||||
\(297\) | 2.21182 | + | 4.02723i | 0.128343 | + | 0.233684i | ||||
\(298\) | 6.70374 | + | 17.9065i | 0.388337 | + | 1.03730i | ||||
\(299\) | −22.7600 | + | 22.7600i | −1.31624 | + | 1.31624i | ||||
\(300\) | 3.10417 | + | 17.0401i | 0.179219 | + | 0.983809i | ||||
\(301\) | 3.32647 | + | 3.32647i | 0.191735 | + | 0.191735i | ||||
\(302\) | −19.4709 | − | 8.86330i | −1.12042 | − | 0.510026i | ||||
\(303\) | 5.21439 | − | 14.0152i | 0.299559 | − | 0.805150i | ||||
\(304\) | −20.0682 | − | 26.5364i | −1.15099 | − | 1.52197i | ||||
\(305\) | −6.63432 | − | 3.47697i | −0.379880 | − | 0.199091i | ||||
\(306\) | −0.987996 | + | 2.67216i | −0.0564800 | + | 0.152757i | ||||
\(307\) | −15.3402 | −0.875510 | −0.437755 | − | 0.899094i | \(-0.644226\pi\) | ||||
−0.437755 | + | 0.899094i | \(0.644226\pi\) | |||||||
\(308\) | 4.25766 | − | 3.70755i | 0.242603 | − | 0.211257i | ||||
\(309\) | −3.83365 | − | 1.42632i | −0.218088 | − | 0.0811407i | ||||
\(310\) | 0.854793 | − | 6.82974i | 0.0485490 | − | 0.387903i | ||||
\(311\) | −19.7166 | −1.11803 | −0.559013 | − | 0.829159i | \(-0.688820\pi\) | ||||
−0.559013 | + | 0.829159i | \(0.688820\pi\) | |||||||
\(312\) | 15.6015 | − | 13.6417i | 0.883261 | − | 0.772308i | ||||
\(313\) | 4.09036 | − | 4.09036i | 0.231201 | − | 0.231201i | −0.581993 | − | 0.813194i | \(-0.697727\pi\) |
0.813194 | + | 0.581993i | \(0.197727\pi\) | |||||||
\(314\) | 2.34752 | − | 5.15703i | 0.132478 | − | 0.291028i | ||||
\(315\) | 19.9216 | − | 7.85762i | 1.12245 | − | 0.442727i | ||||
\(316\) | −6.25669 | + | 5.44830i | −0.351966 | + | 0.306491i | ||||
\(317\) | 33.9447i | 1.90653i | 0.302143 | + | 0.953263i | \(0.402298\pi\) | ||||
−0.302143 | + | 0.953263i | \(0.597702\pi\) | |||||||
\(318\) | 0.0102215 | + | 5.01894i | 0.000573192 | + | 0.281448i | ||||
\(319\) | − | 4.08063i | − | 0.228471i | ||||||
\(320\) | −11.3811 | + | 13.8011i | −0.636225 | + | 0.771503i | ||||
\(321\) | −0.705978 | − | 1.54255i | −0.0394038 | − | 0.0860968i | ||||
\(322\) | −31.2643 | − | 14.2317i | −1.74229 | − | 0.793104i | ||||
\(323\) | 5.58530 | 0.310774 | ||||||||
\(324\) | −11.7097 | + | 13.6705i | −0.650542 | + | 0.759471i | ||||
\(325\) | 12.0361 | + | 17.3934i | 0.667644 | + | 0.964812i | ||||
\(326\) | 7.52216 | + | 3.42415i | 0.416614 | + | 0.189646i | ||||
\(327\) | −2.07478 | − | 0.771928i | −0.114735 | − | 0.0426877i | ||||
\(328\) | −22.4363 | + | 6.67739i | −1.23884 | + | 0.368697i | ||||
\(329\) | 21.9775i | 1.21166i | ||||||||
\(330\) | −4.29432 | − | 2.23946i | −0.236394 | − | 0.123278i | ||||
\(331\) | −7.73413 | + | 7.73413i | −0.425106 | + | 0.425106i | −0.886957 | − | 0.461851i | \(-0.847185\pi\) |
0.461851 | + | 0.886957i | \(0.347185\pi\) | |||||||
\(332\) | −12.2200 | − | 14.0332i | −0.670661 | − | 0.770171i | ||||
\(333\) | 13.1666 | + | 11.3715i | 0.721527 | + | 0.623153i | ||||
\(334\) | 4.37577 | + | 11.6882i | 0.239432 | + | 0.639552i | ||||
\(335\) | 10.6736 | − | 3.33294i | 0.583160 | − | 0.182098i | ||||
\(336\) | 19.4722 | + | 10.4889i | 1.06230 | + | 0.572216i | ||||
\(337\) | 17.7295 | − | 17.7295i | 0.965788 | − | 0.965788i | −0.0336460 | − | 0.999434i | \(-0.510712\pi\) |
0.999434 | + | 0.0336460i | \(0.0107119\pi\) | |||||||
\(338\) | 2.86859 | − | 6.30172i | 0.156031 | − | 0.342768i | ||||
\(339\) | 14.7809 | + | 5.49930i | 0.802789 | + | 0.298681i | ||||
\(340\) | −0.695480 | − | 2.92142i | −0.0377177 | − | 0.158436i | ||||
\(341\) | 1.36092 | + | 1.36092i | 0.0736982 | + | 0.0736982i | ||||
\(342\) | 33.0985 | + | 12.2378i | 1.78976 | + | 0.661742i | ||||
\(343\) | 8.59751 | − | 8.59751i | 0.464222 | − | 0.464222i | ||||
\(344\) | 3.99483 | − | 1.18892i | 0.215387 | − | 0.0641024i | ||||
\(345\) | −1.57636 | + | 29.4261i | −0.0848684 | + | 1.58425i | ||||
\(346\) | −2.75885 | + | 6.06064i | −0.148317 | + | 0.325822i | ||||
\(347\) | 32.6070 | 1.75043 | 0.875217 | − | 0.483730i | \(-0.160718\pi\) | ||||
0.875217 | + | 0.483730i | \(0.160718\pi\) | |||||||
\(348\) | 14.9601 | − | 5.63543i | 0.801944 | − | 0.302091i | ||||
\(349\) | 2.89197 | − | 2.89197i | 0.154804 | − | 0.154804i | −0.625456 | − | 0.780259i | \(-0.715087\pi\) |
0.780259 | + | 0.625456i | \(0.215087\pi\) | |||||||
\(350\) | −12.8806 | + | 18.5380i | −0.688497 | + | 0.990898i | ||||
\(351\) | −6.14141 | + | 21.1062i | −0.327804 | + | 1.12657i | ||||
\(352\) | −1.09311 | − | 4.88111i | −0.0582631 | − | 0.260164i | ||||
\(353\) | 12.2598 | − | 12.2598i | 0.652522 | − | 0.652522i | −0.301078 | − | 0.953600i | \(-0.597346\pi\) |
0.953600 | + | 0.301078i | \(0.0973464\pi\) | |||||||
\(354\) | 4.11452 | − | 4.13131i | 0.218684 | − | 0.219577i | ||||
\(355\) | 15.2957 | − | 4.77624i | 0.811812 | − | 0.253497i | ||||
\(356\) | 6.46219 | − | 5.62725i | 0.342496 | − | 0.298244i | ||||
\(357\) | −3.37622 | + | 1.54519i | −0.178688 | + | 0.0817801i | ||||
\(358\) | −4.59307 | + | 1.71953i | −0.242751 | + | 0.0908798i | ||||
\(359\) | 11.0119i | 0.581186i | 0.956847 | + | 0.290593i | \(0.0938525\pi\) | ||||
−0.956847 | + | 0.290593i | \(0.906147\pi\) | |||||||
\(360\) | 2.27961 | − | 18.8362i | 0.120146 | − | 0.992756i | ||||
\(361\) | − | 50.1820i | − | 2.64116i | ||||||
\(362\) | 6.55091 | + | 17.4983i | 0.344308 | + | 0.919690i | ||||
\(363\) | −16.0930 | + | 7.36524i | −0.844661 | + | 0.386575i | ||||
\(364\) | 26.9457 | + | 1.86098i | 1.41234 | + | 0.0975419i | ||||
\(365\) | 4.87446 | − | 9.30085i | 0.255141 | − | 0.486829i | ||||
\(366\) | 5.81371 | + | 5.79007i | 0.303887 | + | 0.302652i | ||||
\(367\) | 8.41236 | − | 8.41236i | 0.439122 | − | 0.439122i | −0.452595 | − | 0.891716i | \(-0.649502\pi\) |
0.891716 | + | 0.452595i | \(0.149502\pi\) | |||||||
\(368\) | −24.2748 | + | 18.3578i | −1.26541 | + | 0.956967i | ||||
\(369\) | 16.2289 | − | 18.7909i | 0.844842 | − | 0.978213i | ||||
\(370\) | −18.1965 | − | 2.27743i | −0.945993 | − | 0.118398i | ||||
\(371\) | −4.62528 | + | 4.62528i | −0.240133 | + | 0.240133i | ||||
\(372\) | −3.10985 | + | 6.86877i | −0.161238 | + | 0.356129i | ||||
\(373\) | −11.0567 | −0.572492 | −0.286246 | − | 0.958156i | \(-0.592407\pi\) | ||||
−0.286246 | + | 0.958156i | \(0.592407\pi\) | |||||||
\(374\) | 0.764262 | + | 0.347898i | 0.0395191 | + | 0.0179894i | ||||
\(375\) | 18.8390 | + | 4.48232i | 0.972843 | + | 0.231466i | ||||
\(376\) | 17.1241 | + | 9.26910i | 0.883109 | + | 0.478018i | ||||
\(377\) | 13.8045 | − | 13.8045i | 0.710966 | − | 0.710966i | ||||
\(378\) | −23.3931 | + | 1.75929i | −1.20321 | + | 0.0904882i | ||||
\(379\) | −13.4872 | − | 13.4872i | −0.692791 | − | 0.692791i | 0.270054 | − | 0.962845i | \(-0.412958\pi\) |
−0.962845 | + | 0.270054i | \(0.912958\pi\) | |||||||
\(380\) | −36.1860 | + | 8.61452i | −1.85630 | + | 0.441916i | ||||
\(381\) | −30.4999 | − | 11.3476i | −1.56256 | − | 0.581355i | ||||
\(382\) | −3.37681 | − | 1.53715i | −0.172773 | − | 0.0786475i | ||||
\(383\) | −18.2784 | + | 18.2784i | −0.933982 | + | 0.933982i | −0.997952 | − | 0.0639698i | \(-0.979624\pi\) |
0.0639698 | + | 0.997952i | \(0.479624\pi\) | |||||||
\(384\) | 16.3851 | − | 10.7484i | 0.836150 | − | 0.548502i | ||||
\(385\) | −1.88141 | − | 6.02514i | −0.0958855 | − | 0.307069i | ||||
\(386\) | 10.8885 | − | 4.07637i | 0.554210 | − | 0.207482i | ||||
\(387\) | −2.88959 | + | 3.34575i | −0.146886 | + | 0.170074i | ||||
\(388\) | 29.3990 | + | 2.03042i | 1.49251 | + | 0.103079i | ||||
\(389\) | −16.0127 | + | 16.0127i | −0.811878 | + | 0.811878i | −0.984915 | − | 0.173037i | \(-0.944642\pi\) |
0.173037 | + | 0.984915i | \(0.444642\pi\) | |||||||
\(390\) | −6.95142 | − | 22.1033i | −0.351999 | − | 1.11924i | ||||
\(391\) | − | 5.10928i | − | 0.258387i | ||||||
\(392\) | 2.57480 | + | 8.65146i | 0.130047 | + | 0.436965i | ||||
\(393\) | −20.6054 | − | 7.66633i | −1.03941 | − | 0.386715i | ||||
\(394\) | −2.82262 | + | 6.20074i | −0.142202 | + | 0.312389i | ||||
\(395\) | 2.76476 | + | 8.85402i | 0.139110 | + | 0.445494i | ||||
\(396\) | 3.76676 | + | 3.73620i | 0.189287 | + | 0.187751i | ||||
\(397\) | 14.8181 | 0.743698 | 0.371849 | − | 0.928293i | \(-0.378724\pi\) | ||||
0.371849 | + | 0.928293i | \(0.378724\pi\) | |||||||
\(398\) | −11.6676 | + | 25.6314i | −0.584844 | + | 1.28478i | ||||
\(399\) | 19.1394 | + | 41.8193i | 0.958168 | + | 2.09358i | ||||
\(400\) | 9.01175 | + | 17.8546i | 0.450588 | + | 0.892732i | ||||
\(401\) | − | 27.7647i | − | 1.38650i | −0.720695 | − | 0.693252i | \(-0.756177\pi\) | ||
0.720695 | − | 0.693252i | \(-0.243823\pi\) | |||||||
\(402\) | −12.2491 | + | 0.0249462i | −0.610929 | + | 0.00124421i | ||||
\(403\) | 9.20781i | 0.458674i | ||||||||
\(404\) | 1.18970 | − | 17.2261i | 0.0591899 | − | 0.857029i | ||||
\(405\) | 8.73034 | + | 18.1323i | 0.433814 | + | 0.901002i | ||||
\(406\) | 18.9625 | + | 8.63189i | 0.941094 | + | 0.428393i | ||||
\(407\) | 3.62592 | − | 3.62592i | 0.179730 | − | 0.179730i | ||||
\(408\) | −0.219976 | + | 3.28233i | −0.0108904 | + | 0.162500i | ||||
\(409\) | −21.2149 | −1.04901 | −0.524505 | − | 0.851407i | \(-0.675750\pi\) | ||||
−0.524505 | + | 0.851407i | \(0.675750\pi\) | |||||||
\(410\) | −3.25026 | + | 25.9693i | −0.160519 | + | 1.28253i | ||||
\(411\) | −18.7418 | − | 6.97297i | −0.924466 | − | 0.343951i | ||||
\(412\) | −4.71194 | − | 0.325426i | −0.232141 | − | 0.0160326i | ||||
\(413\) | 7.59907 | 0.373926 | ||||||||
\(414\) | 11.1948 | − | 30.2776i | 0.550193 | − | 1.48806i | ||||
\(415\) | −19.8588 | + | 6.20110i | −0.974829 | + | 0.304400i | ||||
\(416\) | 12.8145 | − | 20.2104i | 0.628283 | − | 0.990894i | ||||
\(417\) | 5.09815 | − | 13.7027i | 0.249657 | − | 0.671025i | ||||
\(418\) | 4.30922 | − | 9.46649i | 0.210771 | − | 0.463021i | ||||
\(419\) | −18.3952 | − | 18.3952i | −0.898663 | − | 0.898663i | 0.0966550 | − | 0.995318i | \(-0.469186\pi\) |
−0.995318 | + | 0.0966550i | \(0.969186\pi\) | |||||||
\(420\) | 19.4906 | − | 15.2183i | 0.951044 | − | 0.742577i | ||||
\(421\) | −22.4998 | + | 22.4998i | −1.09657 | + | 1.09657i | −0.101764 | + | 0.994809i | \(0.532449\pi\) |
−0.994809 | + | 0.101764i | \(0.967551\pi\) | |||||||
\(422\) | −10.6329 | + | 3.98068i | −0.517601 | + | 0.193777i | ||||
\(423\) | −20.5979 | + | 1.50690i | −1.00151 | + | 0.0732680i | ||||
\(424\) | 1.65313 | + | 5.55460i | 0.0802833 | + | 0.269755i | ||||
\(425\) | −3.30325 | − | 0.601314i | −0.160231 | − | 0.0291680i | ||||
\(426\) | −17.5535 | + | 0.0357490i | −0.850468 | + | 0.00173205i | ||||
\(427\) | 10.6936i | 0.517501i | ||||||||
\(428\) | −1.28640 | − | 1.47727i | −0.0621805 | − | 0.0714066i | ||||
\(429\) | 6.07233 | + | 2.25923i | 0.293175 | + | 0.109077i | ||||
\(430\) | 0.578715 | − | 4.62389i | 0.0279081 | − | 0.222984i | ||||
\(431\) | 17.5222i | 0.844014i | 0.906593 | + | 0.422007i | \(0.138674\pi\) | ||||
−0.906593 | + | 0.422007i | \(0.861326\pi\) | |||||||
\(432\) | −8.49538 | + | 18.9691i | −0.408734 | + | 0.912653i | ||||
\(433\) | −17.3744 | − | 17.3744i | −0.834961 | − | 0.834961i | 0.153230 | − | 0.988191i | \(-0.451033\pi\) |
−0.988191 | + | 0.153230i | \(0.951033\pi\) | |||||||
\(434\) | −9.20297 | + | 3.44535i | −0.441756 | + | 0.165382i | ||||
\(435\) | 0.956099 | − | 17.8476i | 0.0458415 | − | 0.855729i | ||||
\(436\) | −2.55011 | − | 0.176121i | −0.122128 | − | 0.00843467i | ||||
\(437\) | −63.2858 | −3.02737 | ||||||||
\(438\) | −8.11728 | + | 8.15041i | −0.387859 | + | 0.389442i | ||||
\(439\) | −18.9675 | −0.905268 | −0.452634 | − | 0.891696i | \(-0.649516\pi\) | ||||
−0.452634 | + | 0.891696i | \(0.649516\pi\) | |||||||
\(440\) | −5.48809 | − | 1.07520i | −0.261634 | − | 0.0512581i | ||||
\(441\) | −7.24577 | − | 6.25787i | −0.345036 | − | 0.297994i | ||||
\(442\) | 1.40853 | + | 3.76236i | 0.0669969 | + | 0.178957i | ||||
\(443\) | − | 35.2926i | − | 1.67680i | −0.545053 | − | 0.838402i | \(-0.683491\pi\) | ||
0.545053 | − | 0.838402i | \(-0.316509\pi\) | |||||||
\(444\) | 18.3005 | + | 8.28560i | 0.868505 | + | 0.393217i | ||||
\(445\) | −2.85557 | − | 9.14484i | −0.135367 | − | 0.433507i | ||||
\(446\) | −24.4942 | + | 9.16999i | −1.15983 | + | 0.434212i | ||||
\(447\) | −21.9476 | − | 8.16569i | −1.03809 | − | 0.386224i | ||||
\(448\) | 24.9946 | + | 5.24551i | 1.18088 | + | 0.247827i | ||||
\(449\) | 10.1689 | 0.479901 | 0.239951 | − | 0.970785i | \(-0.422869\pi\) | ||||
0.239951 | + | 0.970785i | \(0.422869\pi\) | |||||||
\(450\) | −18.2575 | − | 10.8010i | −0.860669 | − | 0.509165i | ||||
\(451\) | −5.17476 | − | 5.17476i | −0.243670 | − | 0.243670i | ||||
\(452\) | 18.1673 | + | 1.25470i | 0.854516 | + | 0.0590163i | ||||
\(453\) | 23.8247 | − | 10.9038i | 1.11938 | − | 0.512306i | ||||
\(454\) | −8.04568 | − | 3.66245i | −0.377602 | − | 0.171888i | ||||
\(455\) | 14.0179 | − | 26.7473i | 0.657170 | − | 1.25393i | ||||
\(456\) | 40.6564 | + | 2.72471i | 1.90391 | + | 0.127596i | ||||
\(457\) | −4.14884 | − | 4.14884i | −0.194075 | − | 0.194075i | 0.603379 | − | 0.797454i | \(-0.293820\pi\) |
−0.797454 | + | 0.603379i | \(0.793820\pi\) | |||||||
\(458\) | −26.8801 | + | 10.0632i | −1.25602 | + | 0.470223i | ||||
\(459\) | −1.67969 | − | 3.05835i | −0.0784013 | − | 0.142751i | ||||
\(460\) | 7.88033 | + | 33.1020i | 0.367422 | + | 1.54339i | ||||
\(461\) | 26.8520 | − | 26.8520i | 1.25062 | − | 1.25062i | 0.295182 | − | 0.955441i | \(-0.404620\pi\) |
0.955441 | − | 0.295182i | \(-0.0953804\pi\) | |||||||
\(462\) | 0.0140819 | + | 6.91449i | 0.000655150 | + | 0.321691i | ||||
\(463\) | −7.62693 | − | 7.62693i | −0.354454 | − | 0.354454i | 0.507310 | − | 0.861764i | \(-0.330640\pi\) |
−0.861764 | + | 0.507310i | \(0.830640\pi\) | |||||||
\(464\) | 14.7232 | − | 11.1344i | 0.683509 | − | 0.516903i | ||||
\(465\) | 5.63347 | + | 6.27121i | 0.261246 | + | 0.290820i | ||||
\(466\) | 31.8188 | − | 11.9121i | 1.47398 | − | 0.551819i | ||||
\(467\) | 29.5997i | 1.36971i | 0.728679 | + | 0.684856i | \(0.240135\pi\) | ||||
−0.728679 | + | 0.684856i | \(0.759865\pi\) | |||||||
\(468\) | 0.103385 | + | 25.3819i | 0.00477898 | + | 1.17328i | ||||
\(469\) | −11.2883 | − | 11.2883i | −0.521247 | − | 0.521247i | ||||
\(470\) | 17.1864 | − | 13.3629i | 0.792749 | − | 0.616386i | ||||
\(471\) | 2.88797 | + | 6.31018i | 0.133071 | + | 0.290758i | ||||
\(472\) | 3.20495 | − | 5.92095i | 0.147520 | − | 0.272534i | ||||
\(473\) | 0.921377 | + | 0.921377i | 0.0423650 | + | 0.0423650i | ||||
\(474\) | −0.0206936 | − | 10.1609i | −0.000950487 | − | 0.466707i | ||||
\(475\) | −7.44814 | + | 40.9155i | −0.341744 | + | 1.87733i | ||||
\(476\) | −3.23334 | + | 2.81558i | −0.148200 | + | 0.129052i | ||||
\(477\) | −4.65209 | − | 4.01782i | −0.213005 | − | 0.183963i | ||||
\(478\) | 0.0147206 | − | 0.0323381i | 0.000673304 | − | 0.00147911i | ||||
\(479\) | −3.63379 | −0.166032 | −0.0830159 | − | 0.996548i | \(-0.526455\pi\) | ||||
−0.0830159 | + | 0.996548i | \(0.526455\pi\) | |||||||
\(480\) | −3.63735 | − | 21.6049i | −0.166021 | − | 0.986122i | ||||
\(481\) | 24.5325 | 1.11858 | ||||||||
\(482\) | 2.17564 | − | 4.77944i | 0.0990976 | − | 0.217697i | ||||
\(483\) | 38.2552 | − | 17.5082i | 1.74067 | − | 0.796651i | ||||
\(484\) | −15.4119 | + | 13.4206i | −0.700541 | + | 0.610028i | ||||
\(485\) | 15.2942 | − | 29.1825i | 0.694474 | − | 1.32511i | ||||
\(486\) | −3.25283 | − | 21.8041i | −0.147551 | − | 0.989054i | ||||
\(487\) | 12.4718 | + | 12.4718i | 0.565152 | + | 0.565152i | 0.930766 | − | 0.365614i | \(-0.119141\pi\) |
−0.365614 | + | 0.930766i | \(0.619141\pi\) | |||||||
\(488\) | 8.33214 | + | 4.51010i | 0.377178 | + | 0.204163i | ||||
\(489\) | −9.20417 | + | 4.21246i | −0.416227 | + | 0.190494i | ||||
\(490\) | 10.0138 | + | 1.25330i | 0.452377 | + | 0.0566184i | ||||
\(491\) | 29.7585 | + | 29.7585i | 1.34298 | + | 1.34298i | 0.893077 | + | 0.449903i | \(0.148542\pi\) |
0.449903 | + | 0.893077i | \(0.351458\pi\) | |||||||
\(492\) | 11.8249 | − | 26.1178i | 0.533106 | − | 1.17748i | ||||
\(493\) | 3.09890i | 0.139567i | ||||||||
\(494\) | 46.6022 | − | 17.4467i | 2.09673 | − | 0.784962i | ||||
\(495\) | 5.51794 | − | 2.17643i | 0.248013 | − | 0.0978234i | ||||
\(496\) | −1.19689 | + | 8.62375i | −0.0537420 | + | 0.387218i | ||||
\(497\) | −16.1767 | − | 16.1767i | −0.725623 | − | 0.725623i | ||||
\(498\) | 22.7901 | − | 0.0464138i | 1.02125 | − | 0.00207985i | ||||
\(499\) | 22.1705 | − | 22.1705i | 0.992488 | − | 0.992488i | −0.00748352 | − | 0.999972i | \(-0.502382\pi\) |
0.999972 | + | 0.00748352i | \(0.00238210\pi\) | |||||||
\(500\) | 22.3285 | − | 1.19899i | 0.998561 | − | 0.0536205i | ||||
\(501\) | −14.3260 | − | 5.33004i | −0.640038 | − | 0.238129i | ||||
\(502\) | 19.2574 | − | 7.20948i | 0.859501 | − | 0.321775i | ||||
\(503\) | −7.33476 | − | 7.33476i | −0.327041 | − | 0.327041i | 0.524419 | − | 0.851460i | \(-0.324282\pi\) |
−0.851460 | + | 0.524419i | \(0.824282\pi\) | |||||||
\(504\) | −25.3299 | + | 9.60067i | −1.12828 | + | 0.427648i | ||||
\(505\) | −17.0992 | − | 8.96149i | −0.760905 | − | 0.398781i | ||||
\(506\) | −8.65969 | − | 3.94196i | −0.384970 | − | 0.175241i | ||||
\(507\) | 3.52901 | + | 7.71083i | 0.156729 | + | 0.342450i | ||||
\(508\) | −37.4875 | − | 2.58904i | −1.66324 | − | 0.114870i | ||||
\(509\) | 1.51257 | + | 1.51257i | 0.0670433 | + | 0.0670433i | 0.739833 | − | 0.672790i | \(-0.234904\pi\) |
−0.672790 | + | 0.739833i | \(0.734904\pi\) | |||||||
\(510\) | 3.26118 | + | 1.70069i | 0.144407 | + | 0.0753077i | ||||
\(511\) | −14.9917 | −0.663195 | ||||||||
\(512\) | 14.6287 | − | 17.2627i | 0.646505 | − | 0.762910i | ||||
\(513\) | −37.8820 | + | 20.8054i | −1.67253 | + | 0.918581i | ||||
\(514\) | −26.8581 | + | 10.0550i | −1.18466 | + | 0.443506i | ||||
\(515\) | −2.45129 | + | 4.67724i | −0.108017 | + | 0.206104i | ||||
\(516\) | −2.10544 | + | 4.65032i | −0.0926868 | + | 0.204719i | ||||
\(517\) | 6.08739i | 0.267723i | ||||||||
\(518\) | 9.17949 | + | 24.5196i | 0.403323 | + | 1.07733i | ||||
\(519\) | −3.39400 | − | 7.41584i | −0.148980 | − | 0.325519i | ||||
\(520\) | −14.9285 | − | 22.2031i | −0.654657 | − | 0.973671i | ||||
\(521\) | −40.6250 | −1.77981 | −0.889907 | − | 0.456141i | \(-0.849231\pi\) | ||||
−0.889907 | + | 0.456141i | \(0.849231\pi\) | |||||||
\(522\) | −6.78989 | + | 18.3641i | −0.297185 | + | 0.803775i | ||||
\(523\) | 22.2416 | 0.972558 | 0.486279 | − | 0.873804i | \(-0.338354\pi\) | ||||
0.486279 | + | 0.873804i | \(0.338354\pi\) | |||||||
\(524\) | −25.3262 | − | 1.74913i | −1.10638 | − | 0.0764111i | ||||
\(525\) | −6.81711 | − | 26.7932i | −0.297523 | − | 1.16935i | ||||
\(526\) | −11.3321 | + | 4.24244i | −0.494102 | + | 0.184979i | ||||
\(527\) | −1.03351 | − | 1.03351i | −0.0450204 | − | 0.0450204i | ||||
\(528\) | 5.39349 | + | 2.90525i | 0.234721 | + | 0.126435i | ||||
\(529\) | 34.8921i | 1.51705i | ||||||||
\(530\) | 6.42928 | + | 0.804672i | 0.279270 | + | 0.0349527i | ||||
\(531\) | 0.521035 | + | 7.12208i | 0.0226110 | + | 0.309072i | ||||
\(532\) | 34.8750 | + | 40.0495i | 1.51202 | + | 1.73637i | ||||
\(533\) | − | 35.0117i | − | 1.51652i | ||||||
\(534\) | 0.0213733 | + | 10.4947i | 0.000924911 | + | 0.454149i | ||||
\(535\) | −2.09053 | + | 0.652789i | −0.0903815 | + | 0.0282225i | ||||
\(536\) | −13.5564 | + | 4.03459i | −0.585548 | + | 0.174268i | ||||
\(537\) | 2.09452 | − | 5.62962i | 0.0903852 | − | 0.242936i | ||||
\(538\) | 40.5150 | − | 15.1678i | 1.74673 | − | 0.653929i | ||||
\(539\) | −1.99539 | + | 1.99539i | −0.0859476 | + | 0.0859476i | ||||
\(540\) | 15.5994 | + | 17.2237i | 0.671293 | + | 0.741192i | ||||
\(541\) | 14.5239 | + | 14.5239i | 0.624430 | + | 0.624430i | 0.946661 | − | 0.322231i | \(-0.104433\pi\) |
−0.322231 | + | 0.946661i | \(0.604433\pi\) | |||||||
\(542\) | 5.81591 | − | 12.7764i | 0.249815 | − | 0.548793i | ||||
\(543\) | −21.4472 | − | 7.97953i | −0.920389 | − | 0.342434i | ||||
\(544\) | 0.830129 | + | 3.70680i | 0.0355915 | + | 0.158928i | ||||
\(545\) | −1.32664 | + | 2.53133i | −0.0568270 | + | 0.108430i | ||||
\(546\) | −23.3436 | + | 23.4389i | −0.999013 | + | 1.00309i | ||||
\(547\) | 20.6086 | 0.881160 | 0.440580 | − | 0.897713i | \(-0.354773\pi\) | ||||
0.440580 | + | 0.897713i | \(0.354773\pi\) | |||||||
\(548\) | −23.0356 | − | 1.59093i | −0.984033 | − | 0.0679613i | ||||
\(549\) | −10.0224 | + | 0.733217i | −0.427746 | + | 0.0312929i | ||||
\(550\) | −3.56771 | + | 5.13472i | −0.152128 | + | 0.218945i | ||||
\(551\) | 38.3843 | 1.63523 | ||||||||
\(552\) | 2.49249 | − | 37.1914i | 0.106088 | − | 1.58297i | ||||
\(553\) | 9.36397 | − | 9.36397i | 0.398196 | − | 0.398196i | ||||
\(554\) | −29.2888 | − | 13.3325i | −1.24436 | − | 0.566443i | ||||
\(555\) | 16.7084 | − | 15.0093i | 0.709234 | − | 0.637110i | ||||
\(556\) | 1.16318 | − | 16.8420i | 0.0493298 | − | 0.714261i | ||||
\(557\) | − | 2.58703i | − | 0.109616i | −0.998497 | − | 0.0548079i | \(-0.982545\pi\) | ||
0.998497 | − | 0.0548079i | \(-0.0174546\pi\) | |||||||
\(558\) | −3.86010 | − | 8.38907i | −0.163411 | − | 0.355138i | ||||
\(559\) | 6.23390i | 0.263666i | ||||||||
\(560\) | 16.6055 | − | 23.2285i | 0.701712 | − | 0.981584i | ||||
\(561\) | −0.935157 | + | 0.427992i | −0.0394823 | + | 0.0180698i | ||||
\(562\) | −9.98664 | + | 21.9386i | −0.421261 | + | 0.925426i | ||||
\(563\) | −10.7191 | −0.451755 | −0.225877 | − | 0.974156i | \(-0.572525\pi\) | ||||
−0.225877 | + | 0.974156i | \(0.572525\pi\) | |||||||
\(564\) | −22.3171 | + | 8.40681i | −0.939720 | + | 0.353990i | ||||
\(565\) | 9.45112 | − | 18.0335i | 0.397612 | − | 0.758674i | ||||
\(566\) | −7.78803 | + | 17.1087i | −0.327355 | + | 0.719133i | ||||
\(567\) | 17.1432 | − | 23.0567i | 0.719945 | − | 0.968290i | ||||
\(568\) | −19.4269 | + | 5.78174i | −0.815136 | + | 0.242597i | ||||
\(569\) | − | 11.1821i | − | 0.468778i | −0.972143 | − | 0.234389i | \(-0.924691\pi\) | ||
0.972143 | − | 0.234389i | \(-0.0753089\pi\) | |||||||
\(570\) | 21.0655 | − | 40.3944i | 0.882335 | − | 1.69193i | ||||
\(571\) | 2.51357 | − | 2.51357i | 0.105190 | − | 0.105190i | −0.652553 | − | 0.757743i | \(-0.726302\pi\) |
0.757743 | + | 0.652553i | \(0.226302\pi\) | |||||||
\(572\) | 7.46352 | + | 0.515461i | 0.312065 | + | 0.0215525i | ||||
\(573\) | 4.13189 | − | 1.89104i | 0.172612 | − | 0.0789992i | ||||
\(574\) | 34.9933 | − | 13.1006i | 1.46059 | − | 0.546807i | ||||
\(575\) | 37.4283 | + | 6.81335i | 1.56087 | + | 0.284136i | ||||
\(576\) | −3.20248 | + | 23.7854i | −0.133437 | + | 0.991057i | ||||
\(577\) | −11.1995 | + | 11.1995i | −0.466239 | + | 0.466239i | −0.900694 | − | 0.434454i | \(-0.856941\pi\) |
0.434454 | + | 0.900694i | \(0.356941\pi\) | |||||||
\(578\) | 21.3008 | + | 9.69631i | 0.885998 | + | 0.403313i | ||||
\(579\) | −4.96535 | + | 13.3458i | −0.206353 | + | 0.554632i | ||||
\(580\) | −4.77961 | − | 20.0771i | −0.198462 | − | 0.833658i | ||||
\(581\) | 21.0025 | + | 21.0025i | 0.871332 | + | 0.871332i | ||||
\(582\) | −25.4689 | + | 25.5729i | −1.05572 | + | 1.06003i | ||||
\(583\) | −1.28113 | + | 1.28113i | −0.0530588 | + | 0.0530588i | ||||
\(584\) | −6.32284 | + | 11.6811i | −0.261641 | + | 0.483367i | ||||
\(585\) | 26.0295 | + | 11.3041i | 1.07619 | + | 0.467366i | ||||
\(586\) | −19.3641 | − | 8.81469i | −0.799924 | − | 0.364132i | ||||
\(587\) | −15.6729 | −0.646892 | −0.323446 | − | 0.946247i | \(-0.604841\pi\) | ||||
−0.323446 | + | 0.946247i | \(0.604841\pi\) | |||||||
\(588\) | −10.0710 | − | 4.55967i | −0.415322 | − | 0.188038i | ||||
\(589\) | −12.8015 | + | 12.8015i | −0.527476 | + | 0.527476i | ||||
\(590\) | −4.62045 | − | 5.94248i | −0.190221 | − | 0.244648i | ||||
\(591\) | −3.47245 | − | 7.58727i | −0.142838 | − | 0.312098i | ||||
\(592\) | 22.9763 | + | 3.18889i | 0.944322 | + | 0.131063i | ||||
\(593\) | 30.2660 | − | 30.2660i | 1.24287 | − | 1.24287i | 0.284072 | − | 0.958803i | \(-0.408315\pi\) |
0.958803 | − | 0.284072i | \(-0.0916855\pi\) | |||||||
\(594\) | −6.47950 | + | 0.487295i | −0.265857 | + | 0.0199940i | ||||
\(595\) | 1.42877 | + | 4.57559i | 0.0585741 | + | 0.187581i | ||||
\(596\) | −26.9759 | − | 1.86306i | −1.10497 | − | 0.0763140i | ||||
\(597\) | −14.3537 | − | 31.3627i | −0.587460 | − | 1.28359i | ||||
\(598\) | −15.9597 | − | 42.6304i | −0.652642 | − | 1.74329i | ||||
\(599\) | − | 0.350351i | − | 0.0143150i | −0.999974 | − | 0.00715748i | \(-0.997722\pi\) | ||
0.999974 | − | 0.00715748i | \(-0.00227832\pi\) | |||||||
\(600\) | −23.7516 | − | 5.98852i | −0.969654 | − | 0.244480i | ||||
\(601\) | 41.7921i | 1.70473i | 0.522944 | + | 0.852367i | \(0.324834\pi\) | ||||
−0.522944 | + | 0.852367i | \(0.675166\pi\) | |||||||
\(602\) | −6.23062 | + | 2.33258i | −0.253941 | + | 0.0950690i | ||||
\(603\) | 9.80577 | − | 11.3538i | 0.399322 | − | 0.462361i | ||||
\(604\) | 22.8165 | − | 19.8685i | 0.928389 | − | 0.808436i | ||||
\(605\) | 6.81034 | + | 21.8098i | 0.276880 | + | 0.886696i | ||||
\(606\) | 14.9842 | + | 14.9233i | 0.608690 | + | 0.606216i | ||||
\(607\) | −0.249193 | + | 0.249193i | −0.0101144 | + | 0.0101144i | −0.712146 | − | 0.702031i | \(-0.752277\pi\) |
0.702031 | + | 0.712146i | \(0.252277\pi\) | |||||||
\(608\) | 45.9140 | − | 10.2823i | 1.86206 | − | 0.417004i | ||||
\(609\) | −23.2027 | + | 10.6191i | −0.940220 | + | 0.430309i | ||||
\(610\) | 8.36244 | − | 6.50204i | 0.338585 | − | 0.263260i | ||||
\(611\) | −20.5932 | + | 20.5932i | −0.833112 | + | 0.833112i | ||||
\(612\) | −2.86054 | − | 2.83733i | −0.115630 | − | 0.114692i | ||||
\(613\) | 24.2561 | 0.979694 | 0.489847 | − | 0.871809i | \(-0.337053\pi\) | ||||
0.489847 | + | 0.871809i | \(0.337053\pi\) | |||||||
\(614\) | 8.98799 | − | 19.7448i | 0.362726 | − | 0.796836i | ||||
\(615\) | −21.4207 | − | 23.8456i | −0.863764 | − | 0.961546i | ||||
\(616\) | 2.27749 | + | 7.65246i | 0.0917626 | + | 0.308326i | ||||
\(617\) | −2.06739 | + | 2.06739i | −0.0832301 | + | 0.0832301i | −0.747496 | − | 0.664266i | \(-0.768744\pi\) |
0.664266 | + | 0.747496i | \(0.268744\pi\) | |||||||
\(618\) | 4.08204 | − | 4.09870i | 0.164204 | − | 0.164874i | ||||
\(619\) | −4.06822 | − | 4.06822i | −0.163516 | − | 0.163516i | 0.620607 | − | 0.784122i | \(-0.286886\pi\) |
−0.784122 | + | 0.620607i | \(0.786886\pi\) | |||||||
\(620\) | 8.28994 | + | 5.10186i | 0.332932 | + | 0.204896i | ||||
\(621\) | 19.0322 | + | 34.6535i | 0.763736 | + | 1.39060i | ||||
\(622\) | 11.5522 | − | 25.3779i | 0.463201 | − | 1.01756i | ||||
\(623\) | −9.67153 | + | 9.67153i | −0.387482 | + | 0.387482i | ||||
\(624\) | 8.41752 | + | 28.0740i | 0.336971 | + | 1.12386i | ||||
\(625\) | 8.80992 | − | 23.3963i | 0.352397 | − | 0.935851i | ||||
\(626\) | 2.86824 | + | 7.66143i | 0.114638 | + | 0.306212i | ||||
\(627\) | 5.30130 | + | 11.5833i | 0.211713 | + | 0.462591i | ||||
\(628\) | 5.26234 | + | 6.04314i | 0.209990 | + | 0.241148i | ||||
\(629\) | −2.75359 | + | 2.75359i | −0.109793 | + | 0.109793i | ||||
\(630\) | −1.55849 | + | 30.2455i | −0.0620916 | + | 1.20501i | ||||
\(631\) | 1.64111i | 0.0653315i | 0.999466 | + | 0.0326657i | \(0.0103997\pi\) | ||||
−0.999466 | + | 0.0326657i | \(0.989600\pi\) | |||||||
\(632\) | −3.34680 | − | 11.2454i | −0.133129 | − | 0.447318i | ||||
\(633\) | 4.84879 | − | 13.0325i | 0.192722 | − | 0.517995i | ||||
\(634\) | −43.6913 | − | 19.8886i | −1.73520 | − | 0.789878i | ||||
\(635\) | −19.5021 | + | 37.2114i | −0.773915 | + | 1.47669i | ||||
\(636\) | −6.46602 | − | 2.92750i | −0.256394 | − | 0.116083i | ||||
\(637\) | −13.5005 | −0.534911 | ||||||||
\(638\) | 5.25230 | + | 2.39089i | 0.207941 | + | 0.0946563i | ||||
\(639\) | 14.0521 | − | 16.2704i | 0.555893 | − | 0.643648i | ||||
\(640\) | −11.0954 | − | 22.7352i | −0.438586 | − | 0.898689i | ||||
\(641\) | 35.6250i | 1.40710i | 0.710645 | + | 0.703550i | \(0.248403\pi\) | ||||
−0.710645 | + | 0.703550i | \(0.751597\pi\) | |||||||
\(642\) | 2.39911 | − | 0.00488597i | 0.0946852 | − | 0.000192834i | ||||
\(643\) | 0.271261i | 0.0106975i | 0.999986 | + | 0.00534874i | \(0.00170257\pi\) | ||||
−0.999986 | + | 0.00534874i | \(0.998297\pi\) | |||||||
\(644\) | 36.6362 | − | 31.9027i | 1.44367 | − | 1.25714i | ||||
\(645\) | 3.81399 | + | 4.24575i | 0.150176 | + | 0.167176i | ||||
\(646\) | −3.27250 | + | 7.18901i | −0.128755 | + | 0.282848i | ||||
\(647\) | −18.1088 | + | 18.1088i | −0.711930 | + | 0.711930i | −0.966939 | − | 0.255009i | \(-0.917922\pi\) |
0.255009 | + | 0.966939i | \(0.417922\pi\) | |||||||
\(648\) | −10.7348 | − | 23.0817i | −0.421703 | − | 0.906734i | ||||
\(649\) | 2.10482 | 0.0826212 | ||||||||
\(650\) | −29.4397 | + | 5.30107i | −1.15472 | + | 0.207925i | ||||
\(651\) | 4.19671 | − | 11.2799i | 0.164482 | − | 0.442092i | ||||
\(652\) | −8.81465 | + | 7.67576i | −0.345208 | + | 0.300606i | ||||
\(653\) | 1.25480 | 0.0491041 | 0.0245520 | − | 0.999699i | \(-0.492184\pi\) | ||||
0.0245520 | + | 0.999699i | \(0.492184\pi\) | |||||||
\(654\) | 2.20921 | − | 2.21823i | 0.0863869 | − | 0.0867395i | ||||
\(655\) | −13.1754 | + | 25.1397i | −0.514806 | + | 0.982288i | ||||
\(656\) | 4.55105 | − | 32.7909i | 0.177689 | − | 1.28027i | ||||
\(657\) | −1.02792 | − | 14.0507i | −0.0401030 | − | 0.548171i | ||||
\(658\) | −28.2879 | − | 12.8769i | −1.10278 | − | 0.501992i | ||||
\(659\) | −2.50876 | − | 2.50876i | −0.0977274 | − | 0.0977274i | 0.656553 | − | 0.754280i | \(-0.272014\pi\) |
−0.754280 | + | 0.656553i | \(0.772014\pi\) | |||||||
\(660\) | 5.39858 | − | 4.21522i | 0.210139 | − | 0.164077i | ||||
\(661\) | 8.03267 | − | 8.03267i | 0.312434 | − | 0.312434i | −0.533418 | − | 0.845852i | \(-0.679093\pi\) |
0.845852 | + | 0.533418i | \(0.179093\pi\) | |||||||
\(662\) | −5.42332 | − | 14.4864i | −0.210783 | − | 0.563029i | ||||
\(663\) | −4.61143 | − | 1.71570i | −0.179093 | − | 0.0666323i | ||||
\(664\) | 25.2224 | − | 7.50657i | 0.978820 | − | 0.291311i | ||||
\(665\) | 56.6753 | − | 17.6974i | 2.19777 | − | 0.686277i | ||||
\(666\) | −22.3511 | + | 10.2845i | −0.866087 | + | 0.398516i | ||||
\(667\) | − | 35.1129i | − | 1.35958i | ||||||
\(668\) | −17.6081 | − | 1.21609i | −0.681278 | − | 0.0470518i | ||||
\(669\) | 11.1698 | − | 30.0219i | 0.431849 | − | 1.16072i | ||||
\(670\) | −1.96386 | + | 15.6911i | −0.0758705 | + | 0.606201i | ||||
\(671\) | 2.96196i | 0.114345i | ||||||||
\(672\) | −24.9096 | + | 18.9177i | −0.960908 | + | 0.729768i | ||||
\(673\) | 10.1415 | + | 10.1415i | 0.390927 | + | 0.390927i | 0.875018 | − | 0.484091i | \(-0.160850\pi\) |
−0.484091 | + | 0.875018i | \(0.660850\pi\) | |||||||
\(674\) | 12.4323 | + | 33.2081i | 0.478873 | + | 1.27913i | ||||
\(675\) | 24.6440 | − | 8.22630i | 0.948549 | − | 0.316631i | ||||
\(676\) | 6.43040 | + | 7.38451i | 0.247323 | + | 0.284020i | ||||
\(677\) | 40.2709 | 1.54774 | 0.773869 | − | 0.633346i | \(-0.218319\pi\) | ||||
0.773869 | + | 0.633346i | \(0.218319\pi\) | |||||||
\(678\) | −15.7386 | + | 15.8029i | −0.604439 | + | 0.606906i | ||||
\(679\) | −47.0383 | −1.80517 | ||||||||
\(680\) | 4.16775 | + | 0.816524i | 0.159826 | + | 0.0313123i | ||||
\(681\) | 9.84474 | − | 4.50563i | 0.377251 | − | 0.172656i | ||||
\(682\) | −2.54907 | + | 0.954306i | −0.0976089 | + | 0.0365422i | ||||
\(683\) | 18.6328i | 0.712965i | 0.934302 | + | 0.356482i | \(0.116024\pi\) | ||||
−0.934302 | + | 0.356482i | \(0.883976\pi\) | |||||||
\(684\) | −35.1444 | + | 35.4319i | −1.34378 | + | 1.35477i | ||||
\(685\) | −11.9838 | + | 22.8660i | −0.457877 | + | 0.873664i | ||||
\(686\) | 6.02873 | + | 16.1035i | 0.230178 | + | 0.614835i | ||||
\(687\) | 12.2578 | − | 32.9463i | 0.467664 | − | 1.25698i | ||||
\(688\) | −0.810323 | + | 5.83848i | −0.0308933 | + | 0.222590i | ||||
\(689\) | −8.66791 | −0.330221 | ||||||||
\(690\) | −36.9517 | − | 19.2701i | −1.40673 | − | 0.733601i | ||||
\(691\) | −5.92047 | − | 5.92047i | −0.225225 | − | 0.225225i | 0.585469 | − | 0.810695i | \(-0.300910\pi\) |
−0.810695 | + | 0.585469i | \(0.800910\pi\) | |||||||
\(692\) | −6.18439 | − | 7.10201i | −0.235095 | − | 0.269978i | ||||
\(693\) | −6.40909 | − | 5.53526i | −0.243461 | − | 0.210267i | ||||
\(694\) | −19.1048 | + | 41.9695i | −0.725210 | + | 1.59314i | ||||
\(695\) | −16.7180 | − | 8.76170i | −0.634150 | − | 0.332350i | ||||
\(696\) | −1.51176 | + | 22.5574i | −0.0573030 | + | 0.855038i | ||||
\(697\) | 3.92980 | + | 3.92980i | 0.148852 | + | 0.148852i | ||||
\(698\) | 2.02790 | + | 5.41678i | 0.0767573 | + | 0.205028i | ||||
\(699\) | −14.5099 | + | 38.9995i | −0.548816 | + | 1.47510i | ||||
\(700\) | −16.3139 | − | 27.4407i | −0.616609 | − | 1.03716i | ||||
\(701\) | 16.5059 | − | 16.5059i | 0.623418 | − | 0.623418i | −0.322986 | − | 0.946404i | \(-0.604687\pi\) |
0.946404 | + | 0.322986i | \(0.104687\pi\) | |||||||
\(702\) | −23.5682 | − | 20.2712i | −0.889524 | − | 0.765088i | ||||
\(703\) | 34.1071 | + | 34.1071i | 1.28638 | + | 1.28638i | ||||
\(704\) | 6.92309 | + | 1.45292i | 0.260924 | + | 0.0547590i | ||||
\(705\) | −1.42629 | + | 26.6247i | −0.0537171 | + | 1.00274i | ||||
\(706\) | 8.59678 | + | 22.9631i | 0.323544 | + | 0.864227i | ||||
\(707\) | 27.5616i | 1.03656i | ||||||||
\(708\) | 2.90679 | + | 7.71651i | 0.109244 | + | 0.290004i | ||||
\(709\) | 13.2260 | + | 13.2260i | 0.496715 | + | 0.496715i | 0.910414 | − | 0.413699i | \(-0.135763\pi\) |
−0.413699 | + | 0.910414i | \(0.635763\pi\) | |||||||
\(710\) | −2.81430 | + | 22.4860i | −0.105619 | + | 0.843886i | ||||
\(711\) | 9.41824 | + | 8.13415i | 0.353212 | + | 0.305054i | ||||
\(712\) | 3.45673 | + | 11.6148i | 0.129546 | + | 0.435282i | ||||
\(713\) | 11.7105 | + | 11.7105i | 0.438560 | + | 0.438560i | ||||
\(714\) | −0.0106940 | − | 5.25098i | −0.000400215 | − | 0.196513i | ||||
\(715\) | 3.88273 | − | 7.40855i | 0.145206 | − | 0.277064i | ||||
\(716\) | 0.477880 | − | 6.91938i | 0.0178592 | − | 0.258589i | ||||
\(717\) | 0.0181096 | + | 0.0395692i | 0.000676315 | + | 0.00147774i | ||||
\(718\) | −14.1738 | − | 6.45201i | −0.528960 | − | 0.240787i | ||||
\(719\) | −42.2645 | −1.57620 | −0.788100 | − | 0.615547i | \(-0.788935\pi\) | ||||
−0.788100 | + | 0.615547i | \(0.788935\pi\) | |||||||
\(720\) | 22.9090 | + | 13.9705i | 0.853770 | + | 0.520651i | ||||
\(721\) | 7.53909 | 0.280770 | ||||||||
\(722\) | 64.5908 | + | 29.4022i | 2.40382 | + | 1.09424i | ||||
\(723\) | 2.67652 | + | 5.84815i | 0.0995407 | + | 0.217495i | ||||
\(724\) | −26.3609 | − | 1.82059i | −0.979694 | − | 0.0676616i | ||||
\(725\) | −22.7012 | − | 4.13246i | −0.843101 | − | 0.153476i | ||||
\(726\) | −0.0509738 | − | 25.0291i | −0.00189182 | − | 0.928918i | ||||
\(727\) | 13.5055 | + | 13.5055i | 0.500893 | + | 0.500893i | 0.911715 | − | 0.410822i | \(-0.134758\pi\) |
−0.410822 | + | 0.911715i | \(0.634758\pi\) | |||||||
\(728\) | −18.1832 | + | 33.5923i | −0.673912 | + | 1.24501i | ||||
\(729\) | 22.7849 | + | 14.4862i | 0.843884 | + | 0.536526i | ||||
\(730\) | 9.11541 | + | 11.7236i | 0.337376 | + | 0.433908i | ||||
\(731\) | −0.699710 | − | 0.699710i | −0.0258797 | − | 0.0258797i | ||||
\(732\) | −10.8589 | + | 4.09053i | −0.401357 | + | 0.151190i | ||||
\(733\) | − | 42.6926i | − | 1.57689i | −0.615107 | − | 0.788444i | \(-0.710887\pi\) | ||
0.615107 | − | 0.788444i | \(-0.289113\pi\) | |||||||
\(734\) | 5.89891 | + | 15.7567i | 0.217733 | + | 0.581591i | ||||
\(735\) | −9.19487 | + | 8.25982i | −0.339158 | + | 0.304668i | ||||
\(736\) | −9.40601 | − | 42.0009i | −0.346710 | − | 1.54817i | ||||
\(737\) | −3.12668 | − | 3.12668i | −0.115173 | − | 0.115173i | ||||
\(738\) | 14.6776 | + | 31.8985i | 0.540290 | + | 1.17420i | ||||
\(739\) | −29.6919 | + | 29.6919i | −1.09223 | + | 1.09223i | −0.0969424 | + | 0.995290i | \(0.530906\pi\) |
−0.995290 | + | 0.0969424i | \(0.969094\pi\) | |||||||
\(740\) | 13.5929 | − | 22.0870i | 0.499686 | − | 0.811933i | ||||
\(741\) | −21.2514 | + | 57.1192i | −0.780691 | + | 2.09833i | ||||
\(742\) | −3.24333 | − | 8.66335i | −0.119067 | − | 0.318042i | ||||
\(743\) | 6.10757 | + | 6.10757i | 0.224065 | + | 0.224065i | 0.810208 | − | 0.586143i | \(-0.199354\pi\) |
−0.586143 | + | 0.810208i | \(0.699354\pi\) | |||||||
\(744\) | −7.01891 | − | 8.02728i | −0.257326 | − | 0.294294i | ||||
\(745\) | −14.0336 | + | 26.7772i | −0.514151 | + | 0.981040i | ||||
\(746\) | 6.47823 | − | 14.2314i | 0.237185 | − | 0.521047i | ||||
\(747\) | −18.2442 | + | 21.1243i | −0.667519 | + | 0.772896i | ||||
\(748\) | −0.895581 | + | 0.779868i | −0.0327457 | + | 0.0285148i | ||||
\(749\) | 2.21093 | + | 2.21093i | 0.0807857 | + | 0.0807857i | ||||
\(750\) | −16.8074 | + | 21.6220i | −0.613718 | + | 0.789526i | ||||
\(751\) | 33.1328 | 1.20903 | 0.604517 | − | 0.796592i | \(-0.293366\pi\) | ||||
0.604517 | + | 0.796592i | \(0.293366\pi\) | |||||||
\(752\) | −21.9638 | + | 16.6101i | −0.800937 | + | 0.605708i | ||||
\(753\) | −8.78173 | + | 23.6034i | −0.320024 | + | 0.860155i | ||||
\(754\) | 9.67996 | + | 25.8564i | 0.352523 | + | 0.941634i | ||||
\(755\) | −10.0823 | − | 32.2882i | −0.366934 | − | 1.17509i | ||||
\(756\) | 11.4419 | − | 31.1408i | 0.416137 | − | 1.13258i | ||||
\(757\) | 14.6032i | 0.530762i | 0.964144 | + | 0.265381i | \(0.0854977\pi\) | ||||
−0.964144 | + | 0.265381i | \(0.914502\pi\) | |||||||
\(758\) | 25.2621 | − | 9.45748i | 0.917562 | − | 0.343511i | ||||
\(759\) | 10.5961 | − | 4.84948i | 0.384612 | − | 0.176025i | ||||
\(760\) | 10.1138 | − | 51.6235i | 0.366867 | − | 1.87258i | ||||
\(761\) | −50.6092 | −1.83458 | −0.917291 | − | 0.398218i | \(-0.869629\pi\) | ||||
−0.917291 | + | 0.398218i | \(0.869629\pi\) | |||||||
\(762\) | 32.4761 | − | 32.6087i | 1.17649 | − | 1.18129i | ||||
\(763\) | 4.08017 | 0.147712 | ||||||||
\(764\) | 3.95703 | − | 3.44577i | 0.143160 | − | 0.124663i | ||||
\(765\) | −4.19042 | + | 1.65282i | −0.151505 | + | 0.0597578i | ||||
\(766\) | −12.8172 | − | 34.2362i | −0.463103 | − | 1.23700i | ||||
\(767\) | 7.12044 | + | 7.12044i | 0.257104 | + | 0.257104i | ||||
\(768\) | 4.23435 | + | 27.3874i | 0.152794 | + | 0.988258i | ||||
\(769\) | 27.6476i | 0.996998i | 0.866890 | + | 0.498499i | \(0.166115\pi\) | ||||
−0.866890 | + | 0.498499i | \(0.833885\pi\) | |||||||
\(770\) | 8.85748 | + | 1.10858i | 0.319201 | + | 0.0399504i | ||||
\(771\) | 12.2478 | − | 32.9193i | 0.441092 | − | 1.18556i | ||||
\(772\) | −1.13288 | + | 16.4033i | −0.0407733 | + | 0.590369i | ||||
\(773\) | 23.5138i | 0.845734i | 0.906192 | + | 0.422867i | \(0.138976\pi\) | ||||
−0.906192 | + | 0.422867i | \(0.861024\pi\) | |||||||
\(774\) | −2.61338 | − | 5.67959i | −0.0939359 | − | 0.204149i | ||||
\(775\) | 8.94924 | − | 6.19282i | 0.321466 | − | 0.222453i | ||||
\(776\) | −19.8387 | + | 36.6508i | −0.712166 | + | 1.31569i | ||||
\(777\) | −30.0530 | − | 11.1813i | −1.07815 | − | 0.401129i | ||||
\(778\) | −11.2284 | − | 29.9926i | −0.402559 | − | 1.07529i | ||||
\(779\) | 48.6763 | − | 48.6763i | 1.74401 | − | 1.74401i | ||||
\(780\) | 32.5228 | + | 4.00321i | 1.16450 | + | 0.143338i | ||||
\(781\) | −4.48067 | − | 4.48067i | −0.160331 | − | 0.160331i | ||||
\(782\) | 6.57632 | + | 2.99359i | 0.235169 | + | 0.107051i | ||||
\(783\) | −11.5435 | − | 21.0181i | −0.412531 | − | 0.751127i | ||||
\(784\) | −12.6442 | − | 1.75489i | −0.451578 | − | 0.0626745i | ||||
\(785\) | 8.55182 | − | 2.67039i | 0.305228 | − | 0.0953104i | ||||
\(786\) | 21.9405 | − | 22.0301i | 0.782593 | − | 0.785788i | ||||
\(787\) | −26.4156 | −0.941616 | −0.470808 | − | 0.882236i | \(-0.656038\pi\) | ||||
−0.470808 | + | 0.882236i | \(0.656038\pi\) | |||||||
\(788\) | −6.32735 | − | 7.26618i | −0.225403 | − | 0.258847i | ||||
\(789\) | 5.16763 | − | 13.8895i | 0.183972 | − | 0.494478i | ||||
\(790\) | −13.0162 | − | 1.62907i | −0.463095 | − | 0.0579599i | ||||
\(791\) | −29.0676 | −1.03352 | ||||||||
\(792\) | −7.01596 | + | 2.65923i | −0.249301 | + | 0.0944915i | ||||
\(793\) | −10.0201 | + | 10.0201i | −0.355824 | + | 0.355824i | ||||
\(794\) | −8.68209 | + | 19.0728i | −0.308116 | + | 0.676868i | ||||
\(795\) | −5.90349 | + | 5.30315i | −0.209375 | + | 0.188083i | ||||
\(796\) | −26.1548 | − | 30.0355i | −0.927031 | − | 1.06458i | ||||
\(797\) | 18.5450i | 0.656897i | 0.944522 | + | 0.328449i | \(0.106526\pi\) | ||||
−0.944522 | + | 0.328449i | \(0.893474\pi\) | |||||||
\(798\) | −65.0409 | + | 0.132461i | −2.30242 | + | 0.00468907i | ||||
\(799\) | − | 4.62287i | − | 0.163545i | ||||||
\(800\) | −28.2614 | + | 1.13805i | −0.999190 | + | 0.0402363i | ||||
\(801\) | −9.72759 | − | 8.40132i | −0.343708 | − | 0.296846i | ||||
\(802\) | 35.7369 | + | 16.2677i | 1.26191 | + | 0.574432i | ||||
\(803\) | −4.15246 | −0.146537 | ||||||||
\(804\) | 7.14478 | − | 15.7808i | 0.251977 | − | 0.556546i | ||||
\(805\) | −16.1891 | − | 51.8450i | −0.570592 | − | 1.82730i | ||||
\(806\) | −11.8517 | − | 5.39497i | −0.417457 | − | 0.190030i | ||||
\(807\) | −18.4756 | + | 49.6583i | −0.650371 | + | 1.74806i | ||||
\(808\) | 21.4752 | + | 11.6243i | 0.755493 | + | 0.408940i | ||||
\(809\) | 9.73919i | 0.342412i | 0.985235 | + | 0.171206i | \(0.0547663\pi\) | ||||
−0.985235 | + | 0.171206i | \(0.945234\pi\) | |||||||
\(810\) | −28.4539 | + | 0.613145i | −0.999768 | + | 0.0215437i | ||||
\(811\) | 9.99553 | − | 9.99553i | 0.350991 | − | 0.350991i | −0.509487 | − | 0.860478i | \(-0.670165\pi\) |
0.860478 | + | 0.509487i | \(0.170165\pi\) | |||||||
\(812\) | −22.2207 | + | 19.3497i | −0.779795 | + | 0.679042i | ||||
\(813\) | 7.15486 | + | 15.6333i | 0.250932 | + | 0.548283i | ||||
\(814\) | 2.54257 | + | 6.79151i | 0.0891169 | + | 0.238042i | ||||
\(815\) | 3.89509 | + | 12.4739i | 0.136439 | + | 0.436941i | ||||
\(816\) | −4.09591 | − | 2.20630i | −0.143385 | − | 0.0772358i | ||||
\(817\) | −8.66691 | + | 8.66691i | −0.303217 | + | 0.303217i | ||||
\(818\) | 12.4301 | − | 27.3064i | 0.434608 | − | 0.954746i | ||||
\(819\) | −2.95608 | − | 40.4069i | −0.103294 | − | 1.41193i | ||||
\(820\) | −31.5216 | − | 19.3993i | −1.10078 | − | 0.677451i | ||||
\(821\) | 5.71191 | + | 5.71191i | 0.199347 | + | 0.199347i | 0.799720 | − | 0.600373i | \(-0.204981\pi\) |
−0.600373 | + | 0.799720i | \(0.704981\pi\) | |||||||
\(822\) | 19.9562 | − | 20.0376i | 0.696052 | − | 0.698893i | ||||
\(823\) | 4.61386 | − | 4.61386i | 0.160829 | − | 0.160829i | −0.622105 | − | 0.782934i | \(-0.713722\pi\) |
0.782934 | + | 0.622105i | \(0.213722\pi\) | |||||||
\(824\) | 3.17965 | − | 5.87422i | 0.110768 | − | 0.204638i | ||||
\(825\) | −1.88823 | − | 7.42129i | −0.0657396 | − | 0.258376i | ||||
\(826\) | −4.45239 | + | 9.78099i | −0.154918 | + | 0.340324i | ||||
\(827\) | −8.89412 | −0.309279 | −0.154639 | − | 0.987971i | \(-0.549422\pi\) | ||||
−0.154639 | + | 0.987971i | \(0.549422\pi\) | |||||||
\(828\) | 32.4121 | + | 32.1492i | 1.12640 | + | 1.11726i | ||||
\(829\) | −4.22348 | + | 4.22348i | −0.146688 | + | 0.146688i | −0.776637 | − | 0.629949i | \(-0.783076\pi\) |
0.629949 | + | 0.776637i | \(0.283076\pi\) | |||||||
\(830\) | 3.65386 | − | 29.1941i | 0.126828 | − | 1.01334i | ||||
\(831\) | 35.8379 | − | 16.4019i | 1.24320 | − | 0.568976i | ||||
\(832\) | 18.5052 | + | 28.3355i | 0.641552 | + | 0.982355i | ||||
\(833\) | 1.51533 | − | 1.51533i | 0.0525032 | − | 0.0525032i | ||||
\(834\) | 14.6501 | + | 14.5906i | 0.507292 | + | 0.505230i | ||||
\(835\) | −9.16024 | + | 17.4784i | −0.317003 | + | 0.604866i | ||||
\(836\) | 9.65979 | + | 11.0931i | 0.334091 | + | 0.383662i | ||||
\(837\) | 10.8596 | + | 3.15988i | 0.375362 | + | 0.109221i | ||||
\(838\) | 34.4550 | − | 12.8990i | 1.19023 | − | 0.445590i | ||||
\(839\) | 24.7749i | 0.855324i | 0.903939 | + | 0.427662i | \(0.140663\pi\) | ||||
−0.903939 | + | 0.427662i | \(0.859337\pi\) | |||||||
\(840\) | 8.16817 | + | 34.0036i | 0.281829 | + | 1.17323i | ||||
\(841\) | − | 7.70317i | − | 0.265627i | ||||||
\(842\) | −15.7773 | − | 42.1431i | −0.543721 | − | 1.45235i | ||||
\(843\) | −12.2858 | − | 26.8443i | −0.423145 | − | 0.924566i | ||||
\(844\) | 1.10629 | − | 16.0183i | 0.0380799 | − | 0.551371i | ||||
\(845\) | 10.4500 | − | 3.26313i | 0.359492 | − | 0.112255i | ||||
\(846\) | 10.1290 | − | 27.3952i | 0.348242 | − | 0.941865i | ||||
\(847\) | 23.0660 | − | 23.0660i | 0.792556 | − | 0.792556i | ||||
\(848\) | −8.11810 | − | 1.12671i | −0.278777 | − | 0.0386914i | ||||
\(849\) | −9.58100 | − | 20.9344i | −0.328819 | − | 0.718465i | ||||
\(850\) | 2.70938 | − | 3.89939i | 0.0929311 | − | 0.133748i | ||||
\(851\) | 31.2003 | − | 31.2003i | 1.06953 | − | 1.06953i | ||||
\(852\) | 10.2388 | − | 22.6146i | 0.350775 | − | 0.774762i | ||||
\(853\) | −2.18201 | −0.0747106 | −0.0373553 | − | 0.999302i | \(-0.511893\pi\) | ||||
−0.0373553 | + | 0.999302i | \(0.511893\pi\) | |||||||
\(854\) | −13.7641 | − | 6.26553i | −0.470998 | − | 0.214402i | ||||
\(855\) | 20.4726 | + | 51.9044i | 0.700146 | + | 1.77509i | ||||
\(856\) | 2.65516 | − | 0.790215i | 0.0907515 | − | 0.0270090i | ||||
\(857\) | 25.5805 | − | 25.5805i | 0.873814 | − | 0.873814i | −0.119072 | − | 0.992886i | \(-0.537992\pi\) |
0.992886 | + | 0.119072i | \(0.0379919\pi\) | |||||||
\(858\) | −6.46578 | + | 6.49217i | −0.220738 | + | 0.221639i | ||||
\(859\) | −21.8553 | − | 21.8553i | −0.745695 | − | 0.745695i | 0.227973 | − | 0.973667i | \(-0.426790\pi\) |
−0.973667 | + | 0.227973i | \(0.926790\pi\) | |||||||
\(860\) | 5.61248 | + | 3.45408i | 0.191384 | + | 0.117783i | ||||
\(861\) | −15.9575 | + | 42.8904i | −0.543831 | + | 1.46170i | ||||
\(862\) | −22.5533 | − | 10.2665i | −0.768170 | − | 0.349677i | ||||
\(863\) | 9.87143 | − | 9.87143i | 0.336027 | − | 0.336027i | −0.518843 | − | 0.854870i | \(-0.673637\pi\) |
0.854870 | + | 0.518843i | \(0.173637\pi\) | |||||||
\(864\) | −19.4382 | − | 22.0489i | −0.661302 | − | 0.750120i | ||||
\(865\) | −10.0503 | + | 3.13829i | −0.341719 | + | 0.106705i | ||||
\(866\) | 32.5430 | − | 12.1833i | 1.10586 | − | 0.414004i | ||||
\(867\) | −26.0639 | + | 11.9286i | −0.885175 | + | 0.405117i | ||||
\(868\) | 0.957511 | − | 13.8641i | 0.0325000 | − | 0.470578i | ||||
\(869\) | 2.59366 | − | 2.59366i | 0.0879840 | − | 0.0879840i | ||||
\(870\) | 22.4121 | + | 11.6878i | 0.759840 | + | 0.396253i | ||||
\(871\) | − | 21.1547i | − | 0.716798i | ||||||
\(872\) | 1.72083 | − | 3.17914i | 0.0582748 | − | 0.107659i | ||||
\(873\) | −3.22522 | − | 44.0858i | −0.109157 | − | 1.49208i | ||||
\(874\) | 37.0799 | − | 81.4571i | 1.25425 | − | 2.75533i | ||||
\(875\) | −35.4241 | + | 4.36491i | −1.19755 | + | 0.147561i | ||||
\(876\) | −5.73463 | − | 15.2234i | −0.193755 | − | 0.514352i | ||||
\(877\) | −11.5546 | −0.390171 | −0.195085 | − | 0.980786i | \(-0.562498\pi\) | ||||
−0.195085 | + | 0.980786i | \(0.562498\pi\) | |||||||
\(878\) | 11.1133 | − | 24.4136i | 0.375055 | − | 0.823920i | ||||
\(879\) | 23.6941 | − | 10.8440i | 0.799181 | − | 0.365760i | ||||
\(880\) | 4.59946 | − | 6.43391i | 0.155048 | − | 0.216887i | ||||
\(881\) | − | 2.18579i | − | 0.0736412i | −0.999322 | − | 0.0368206i | \(-0.988277\pi\) | ||
0.999322 | − | 0.0368206i | \(-0.0117230\pi\) | |||||||
\(882\) | 12.3001 | − | 5.65969i | 0.414165 | − | 0.190572i | ||||
\(883\) | 45.7841i | 1.54076i | 0.637587 | + | 0.770378i | \(0.279933\pi\) | ||||
−0.637587 | + | 0.770378i | \(0.720067\pi\) | |||||||
\(884\) | −5.66792 | − | 0.391450i | −0.190633 | − | 0.0131659i | ||||
\(885\) | 9.20593 | + | 0.493162i | 0.309454 | + | 0.0165775i | ||||
\(886\) | 45.4262 | + | 20.6784i | 1.52612 | + | 0.694704i | ||||
\(887\) | 18.9953 | − | 18.9953i | 0.637798 | − | 0.637798i | −0.312214 | − | 0.950012i | \(-0.601070\pi\) |
0.950012 | + | 0.312214i | \(0.101070\pi\) | |||||||
\(888\) | −21.3872 | + | 18.7006i | −0.717706 | + | 0.627550i | ||||
\(889\) | 59.9798 | 2.01166 | ||||||||
\(890\) | 13.4437 | + | 1.68258i | 0.450635 | + | 0.0564003i | ||||
\(891\) | 4.74837 | − | 6.38632i | 0.159077 | − | 0.213950i | ||||
\(892\) | 2.54847 | − | 36.9000i | 0.0853290 | − | 1.23550i | ||||
\(893\) | −57.2609 | −1.91616 | ||||||||
\(894\) | 23.3697 | − | 23.4651i | 0.781599 | − | 0.784789i | ||||
\(895\) | −6.86842 | − | 3.59966i | −0.229586 | − | 0.120323i | ||||
\(896\) | −21.3963 | + | 29.0979i | −0.714801 | + | 0.972094i | ||||
\(897\) | 52.2511 | + | 19.4402i | 1.74461 | + | 0.649090i | ||||
\(898\) | −5.95810 | + | 13.0887i | −0.198824 | + | 0.436777i | ||||
\(899\) | −7.10267 | − | 7.10267i | −0.236887 | − | 0.236887i | ||||
\(900\) | 24.5996 | − | 17.1714i | 0.819988 | − | 0.572380i | ||||
\(901\) | 0.972909 | − | 0.972909i | 0.0324123 | − | 0.0324123i | ||||
\(902\) | 9.69256 | − | 3.62864i | 0.322727 | − | 0.120821i | ||||
\(903\) | 2.84127 | − | 7.63673i | 0.0945516 | − | 0.254134i | ||||
\(904\) | −12.2594 | + | 22.6485i | −0.407741 | + | 0.753278i | ||||
\(905\) | −13.7137 | + | 26.1667i | −0.455858 | + | 0.869811i | ||||
\(906\) | 0.0754639 | + | 37.0542i | 0.00250712 | + | 1.23104i | ||||
\(907\) | 52.8207i | 1.75388i | 0.480597 | + | 0.876942i | \(0.340420\pi\) | ||||
−0.480597 | + | 0.876942i | \(0.659580\pi\) | |||||||
\(908\) | 9.42812 | − | 8.20996i | 0.312883 | − | 0.272457i | ||||
\(909\) | −25.8316 | + | 1.88978i | −0.856781 | + | 0.0626802i | ||||
\(910\) | 26.2140 | + | 33.7145i | 0.868985 | + | 1.11762i | ||||
\(911\) | − | 18.8404i | − | 0.624210i | −0.950048 | − | 0.312105i | \(-0.898966\pi\) | ||
0.950048 | − | 0.312105i | \(-0.101034\pi\) | |||||||
\(912\) | −27.3281 | + | 50.7337i | −0.904925 | + | 1.67996i | ||||
\(913\) | 5.81735 | + | 5.81735i | 0.192526 | + | 0.192526i | ||||
\(914\) | 7.77097 | − | 2.90925i | 0.257041 | − | 0.0962294i | ||||
\(915\) | −0.693993 | + | 12.9549i | −0.0229427 | + | 0.428275i | ||||
\(916\) | 2.79671 | − | 40.4944i | 0.0924058 | − | 1.33797i | ||||
\(917\) | 40.5218 | 1.33815 | ||||||||
\(918\) | 4.92065 | − | 0.370060i | 0.162406 | − | 0.0122138i | ||||
\(919\) | 27.3028 | 0.900638 | 0.450319 | − | 0.892868i | \(-0.351310\pi\) | ||||
0.450319 | + | 0.892868i | \(0.351310\pi\) | |||||||
\(920\) | −47.2238 | − | 9.25185i | −1.55692 | − | 0.305025i | ||||
\(921\) | 11.0572 | + | 24.1599i | 0.364348 | + | 0.796095i | ||||
\(922\) | 18.8291 | + | 50.2950i | 0.620105 | + | 1.65638i | ||||
\(923\) | − | 30.3156i | − | 0.997849i | ||||||
\(924\) | −8.90810 | − | 4.03316i | −0.293055 | − | 0.132681i | ||||
\(925\) | −16.4996 | − | 23.8436i | −0.542504 | − | 0.783971i | ||||
\(926\) | 14.2856 | − | 5.34815i | 0.469453 | − | 0.175751i | ||||
\(927\) | 0.516923 | + | 7.06587i | 0.0169780 | + | 0.232074i | ||||
\(928\) | 5.70497 | + | 25.4745i | 0.187275 | + | 0.836243i | ||||
\(929\) | 34.4325 | 1.12969 | 0.564847 | − | 0.825196i | \(-0.308935\pi\) | ||||
0.564847 | + | 0.825196i | \(0.308935\pi\) | |||||||
\(930\) | −11.3726 | + | 3.57664i | −0.372922 | + | 0.117283i | ||||
\(931\) | −18.7696 | − | 18.7696i | −0.615149 | − | 0.615149i | ||||
\(932\) | −3.31055 | + | 47.9344i | −0.108441 | + | 1.57014i | ||||
\(933\) | 14.2118 | + | 31.0525i | 0.465273 | + | 1.01661i | ||||
\(934\) | −38.0987 | − | 17.3428i | −1.24663 | − | 0.567475i | ||||
\(935\) | 0.395747 | + | 1.26736i | 0.0129423 | + | 0.0414472i | ||||
\(936\) | −32.7305 | − | 14.7385i | −1.06983 | − | 0.481744i | ||||
\(937\) | 26.1169 | + | 26.1169i | 0.853202 | + | 0.853202i | 0.990526 | − | 0.137324i | \(-0.0438502\pi\) |
−0.137324 | + | 0.990526i | \(0.543850\pi\) | |||||||
\(938\) | 21.1435 | − | 7.91559i | 0.690361 | − | 0.258453i | ||||
\(939\) | −9.39043 | − | 3.49375i | −0.306445 | − | 0.114014i | ||||
\(940\) | 7.13011 | + | 29.9506i | 0.232559 | + | 0.976882i | ||||
\(941\) | 16.7571 | − | 16.7571i | 0.546266 | − | 0.546266i | −0.379093 | − | 0.925359i | \(-0.623764\pi\) |
0.925359 | + | 0.379093i | \(0.123764\pi\) | |||||||
\(942\) | −9.81413 | + | 0.0199873i | −0.319762 | + | 0.000651220i | ||||
\(943\) | −44.5277 | − | 44.5277i | −1.45002 | − | 1.45002i | ||||
\(944\) | 5.74322 | + | 7.59434i | 0.186926 | + | 0.247175i | ||||
\(945\) | −26.7348 | − | 25.7115i | −0.869683 | − | 0.836395i | ||||
\(946\) | −1.72578 | + | 0.646087i | −0.0561099 | + | 0.0210061i | ||||
\(947\) | − | 55.2771i | − | 1.79627i | −0.439724 | − | 0.898133i | \(-0.644924\pi\) | ||
0.439724 | − | 0.898133i | \(-0.355076\pi\) | |||||||
\(948\) | 13.0906 | + | 5.92678i | 0.425163 | + | 0.192493i | ||||
\(949\) | −14.0475 | − | 14.0475i | −0.456001 | − | 0.456001i | ||||
\(950\) | −48.2996 | − | 33.5596i | −1.56705 | − | 1.08882i | ||||
\(951\) | 53.4610 | − | 24.4674i | 1.73359 | − | 0.793411i | ||||
\(952\) | −1.72956 | − | 5.81141i | −0.0560555 | − | 0.188349i | ||||
\(953\) | 30.2260 | + | 30.2260i | 0.979115 | + | 0.979115i | 0.999786 | − | 0.0206711i | \(-0.00658030\pi\) |
−0.0206711 | + | 0.999786i | \(0.506580\pi\) | |||||||
\(954\) | 7.89717 | − | 3.63376i | 0.255680 | − | 0.117647i | ||||
\(955\) | −1.74857 | − | 5.59971i | −0.0565823 | − | 0.181202i | ||||
\(956\) | 0.0329985 | + | 0.0378946i | 0.00106725 | + | 0.00122560i | ||||
\(957\) | −6.42676 | + | 2.94133i | −0.207748 | + | 0.0950795i | ||||
\(958\) | 2.12908 | − | 4.67716i | 0.0687874 | − | 0.151112i | ||||
\(959\) | 36.8569 | 1.19017 | ||||||||
\(960\) | 29.9394 | + | 7.97680i | 0.966292 | + | 0.257450i | ||||
\(961\) | −26.2624 | −0.847174 | ||||||||
\(962\) | −14.3739 | + | 31.5765i | −0.463432 | + | 1.01807i | ||||
\(963\) | −1.92056 | + | 2.22375i | −0.0618892 | + | 0.0716593i | ||||
\(964\) | 4.87703 | + | 5.60066i | 0.157079 | + | 0.180385i | ||||
\(965\) | 16.2825 | + | 8.53348i | 0.524153 | + | 0.274702i | ||||
\(966\) | 0.121172 | + | 59.4977i | 0.00389864 | + | 1.91431i | ||||
\(967\) | 18.8441 | + | 18.8441i | 0.605987 | + | 0.605987i | 0.941895 | − | 0.335908i | \(-0.109043\pi\) |
−0.335908 | + | 0.941895i | \(0.609043\pi\) | |||||||
\(968\) | −8.24407 | − | 27.7005i | −0.264974 | − | 0.890326i | ||||
\(969\) | −4.02590 | − | 8.79653i | −0.129330 | − | 0.282585i | ||||
\(970\) | 28.6007 | + | 36.7840i | 0.918312 | + | 1.18106i | ||||
\(971\) | 0.634434 | + | 0.634434i | 0.0203600 | + | 0.0203600i | 0.717213 | − | 0.696854i | \(-0.245417\pi\) |
−0.696854 | + | 0.717213i | \(0.745417\pi\) | |||||||
\(972\) | 29.9706 | + | 8.58848i | 0.961308 | + | 0.275476i | ||||
\(973\) | 26.9472i | 0.863888i | ||||||||
\(974\) | −23.3603 | + | 8.74548i | −0.748511 | + | 0.280223i | ||||
\(975\) | 18.7179 | − | 31.4934i | 0.599454 | − | 1.00860i | ||||
\(976\) | −10.6870 | + | 8.08204i | −0.342082 | + | 0.258700i | ||||
\(977\) | −18.2477 | − | 18.2477i | −0.583796 | − | 0.583796i | 0.352149 | − | 0.935944i | \(-0.385451\pi\) |
−0.935944 | + | 0.352149i | \(0.885451\pi\) | |||||||
\(978\) | −0.0291538 | − | 14.3151i | −0.000932237 | − | 0.457746i | ||||
\(979\) | −2.67885 | + | 2.67885i | −0.0856166 | + | 0.0856166i | ||||
\(980\) | −7.48036 | + | 12.1547i | −0.238951 | + | 0.388269i | ||||
\(981\) | 0.279760 | + | 3.82406i | 0.00893205 | + | 0.122093i | ||||
\(982\) | −55.7389 | + | 20.8672i | −1.77870 | + | 0.665899i | ||||
\(983\) | −23.9563 | − | 23.9563i | −0.764087 | − | 0.764087i | 0.212971 | − | 0.977058i | \(-0.431686\pi\) |
−0.977058 | + | 0.212971i | \(0.931686\pi\) | |||||||
\(984\) | 26.6886 | + | 30.5229i | 0.850803 | + | 0.973033i | ||||
\(985\) | −10.2826 | + | 3.21084i | −0.327630 | + | 0.102306i | ||||
\(986\) | −3.98869 | − | 1.81568i | −0.127026 | − | 0.0578231i | ||||
\(987\) | 34.6132 | − | 15.8414i | 1.10175 | − | 0.504237i | ||||
\(988\) | −4.84867 | + | 70.2054i | −0.154257 | + | 2.23353i | ||||
\(989\) | 7.92825 | + | 7.92825i | 0.252104 | + | 0.252104i | ||||
\(990\) | −0.431675 | + | 8.37751i | −0.0137195 | + | 0.266255i | ||||
\(991\) | −18.9167 | −0.600910 | −0.300455 | − | 0.953796i | \(-0.597139\pi\) | ||||
−0.300455 | + | 0.953796i | \(0.597139\pi\) | |||||||
\(992\) | −10.3986 | − | 6.59332i | −0.330157 | − | 0.209338i | ||||
\(993\) | 17.7556 | + | 6.60604i | 0.563457 | + | 0.209636i | ||||
\(994\) | 30.2996 | − | 11.3434i | 0.961045 | − | 0.359790i | ||||
\(995\) | −42.5041 | + | 13.2723i | −1.34747 | + | 0.420761i | ||||
\(996\) | −13.2932 | + | 29.3610i | −0.421212 | + | 0.930339i | ||||
\(997\) | − | 46.1083i | − | 1.46027i | −0.683305 | − | 0.730133i | \(-0.739458\pi\) | ||
0.683305 | − | 0.730133i | \(-0.260542\pi\) | |||||||
\(998\) | 15.5464 | + | 41.5263i | 0.492112 | + | 1.31449i | ||||
\(999\) | 8.41889 | − | 28.9333i | 0.266362 | − | 0.915408i |
(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 | 240.2.bb.a.173.16 | ✓ | 88 | |
3.2 | odd | 2 | inner | 240.2.bb.a.173.29 | yes | 88 | |
4.3 | odd | 2 | 960.2.bb.a.593.28 | 88 | |||
5.2 | odd | 4 | 240.2.bf.a.77.7 | yes | 88 | ||
12.11 | even | 2 | 960.2.bb.a.593.17 | 88 | |||
15.2 | even | 4 | 240.2.bf.a.77.38 | yes | 88 | ||
16.5 | even | 4 | 240.2.bf.a.53.38 | yes | 88 | ||
16.11 | odd | 4 | 960.2.bf.a.113.39 | 88 | |||
20.7 | even | 4 | 960.2.bf.a.17.39 | 88 | |||
48.5 | odd | 4 | 240.2.bf.a.53.7 | yes | 88 | ||
48.11 | even | 4 | 960.2.bf.a.113.40 | 88 | |||
60.47 | odd | 4 | 960.2.bf.a.17.40 | 88 | |||
80.27 | even | 4 | 960.2.bb.a.497.17 | 88 | |||
80.37 | odd | 4 | inner | 240.2.bb.a.197.29 | yes | 88 | |
240.107 | odd | 4 | 960.2.bb.a.497.28 | 88 | |||
240.197 | even | 4 | inner | 240.2.bb.a.197.16 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.2.bb.a.173.16 | ✓ | 88 | 1.1 | even | 1 | trivial | |
240.2.bb.a.173.29 | yes | 88 | 3.2 | odd | 2 | inner | |
240.2.bb.a.197.16 | yes | 88 | 240.197 | even | 4 | inner | |
240.2.bb.a.197.29 | yes | 88 | 80.37 | odd | 4 | inner | |
240.2.bf.a.53.7 | yes | 88 | 48.5 | odd | 4 | ||
240.2.bf.a.53.38 | yes | 88 | 16.5 | even | 4 | ||
240.2.bf.a.77.7 | yes | 88 | 5.2 | odd | 4 | ||
240.2.bf.a.77.38 | yes | 88 | 15.2 | even | 4 | ||
960.2.bb.a.497.17 | 88 | 80.27 | even | 4 | |||
960.2.bb.a.497.28 | 88 | 240.107 | odd | 4 | |||
960.2.bb.a.593.17 | 88 | 12.11 | even | 2 | |||
960.2.bb.a.593.28 | 88 | 4.3 | odd | 2 | |||
960.2.bf.a.17.39 | 88 | 20.7 | even | 4 | |||
960.2.bf.a.17.40 | 88 | 60.47 | odd | 4 | |||
960.2.bf.a.113.39 | 88 | 16.11 | odd | 4 | |||
960.2.bf.a.113.40 | 88 | 48.11 | even | 4 |