Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 262.1 | ||
Character | \(\chi\) | \(=\) | 273.262 |
Dual form | 273.2.cg.a.124.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.639011 | − | 2.38482i | −0.451849 | − | 1.68632i | −0.697189 | − | 0.716887i | \(-0.745566\pi\) |
0.245340 | − | 0.969437i | \(-0.421100\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −3.54699 | + | 2.04786i | −1.77350 | + | 1.02393i | ||||
\(5\) | −0.746344 | + | 2.78539i | −0.333775 | + | 1.24567i | 0.571416 | + | 0.820661i | \(0.306394\pi\) |
−0.905191 | + | 0.425005i | \(0.860272\pi\) | |||||||
\(6\) | −2.38482 | + | 0.639011i | −0.973600 | + | 0.260875i | ||||
\(7\) | −2.52355 | + | 0.794791i | −0.953812 | + | 0.300403i | ||||
\(8\) | 3.65872 | + | 3.65872i | 1.29355 | + | 1.29355i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 7.11959 | 2.25141 | ||||||||
\(11\) | 0.990792 | + | 0.990792i | 0.298735 | + | 0.298735i | 0.840518 | − | 0.541783i | \(-0.182251\pi\) |
−0.541783 | + | 0.840518i | \(0.682251\pi\) | |||||||
\(12\) | 2.04786 | + | 3.54699i | 0.591165 | + | 1.02393i | ||||
\(13\) | −3.49837 | + | 0.872572i | −0.970274 | + | 0.242008i | ||||
\(14\) | 3.50801 | + | 5.51034i | 0.937556 | + | 1.47270i | ||||
\(15\) | 2.78539 | + | 0.746344i | 0.719185 | + | 0.192705i | ||||
\(16\) | 2.29172 | − | 3.96937i | 0.572930 | − | 0.992343i | ||||
\(17\) | 3.77833 | + | 6.54425i | 0.916379 | + | 1.58721i | 0.804870 | + | 0.593451i | \(0.202235\pi\) |
0.111509 | + | 0.993763i | \(0.464432\pi\) | |||||||
\(18\) | 0.639011 | + | 2.38482i | 0.150616 | + | 0.562108i | ||||
\(19\) | −4.88884 | − | 4.88884i | −1.12158 | − | 1.12158i | −0.991504 | − | 0.130073i | \(-0.958479\pi\) |
−0.130073 | − | 0.991504i | \(-0.541521\pi\) | |||||||
\(20\) | −3.05681 | − | 11.4082i | −0.683523 | − | 2.55094i | ||||
\(21\) | 0.794791 | + | 2.52355i | 0.173438 | + | 0.550684i | ||||
\(22\) | 1.72974 | − | 2.99599i | 0.368781 | − | 0.638747i | ||||
\(23\) | −1.97286 | − | 1.13903i | −0.411371 | − | 0.237505i | 0.280008 | − | 0.959998i | \(-0.409663\pi\) |
−0.691378 | + | 0.722493i | \(0.742996\pi\) | |||||||
\(24\) | 3.65872 | − | 3.65872i | 0.746833 | − | 0.746833i | ||||
\(25\) | −2.87125 | − | 1.65772i | −0.574251 | − | 0.331544i | ||||
\(26\) | 4.31643 | + | 7.78542i | 0.846521 | + | 1.52685i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 7.32339 | − | 7.98699i | 1.38399 | − | 1.50940i | ||||
\(29\) | −3.75108 | − | 6.49707i | −0.696559 | − | 1.20647i | −0.969652 | − | 0.244487i | \(-0.921380\pi\) |
0.273094 | − | 0.961987i | \(-0.411953\pi\) | |||||||
\(30\) | − | 7.11959i | − | 1.29985i | ||||||
\(31\) | −5.19745 | + | 1.39265i | −0.933490 | + | 0.250128i | −0.693342 | − | 0.720608i | \(-0.743863\pi\) |
−0.240148 | + | 0.970736i | \(0.577196\pi\) | |||||||
\(32\) | −0.934879 | − | 0.250500i | −0.165265 | − | 0.0442826i | ||||
\(33\) | 0.990792 | − | 0.990792i | 0.172475 | − | 0.172475i | ||||
\(34\) | 13.1925 | − | 13.1925i | 2.26249 | − | 2.26249i | ||||
\(35\) | −0.330370 | − | 7.62227i | −0.0558426 | − | 1.28840i | ||||
\(36\) | 3.54699 | − | 2.04786i | 0.591165 | − | 0.341309i | ||||
\(37\) | −2.20910 | + | 0.591926i | −0.363174 | + | 0.0973121i | −0.435791 | − | 0.900048i | \(-0.643531\pi\) |
0.0726176 | + | 0.997360i | \(0.476865\pi\) | |||||||
\(38\) | −8.53499 | + | 14.7830i | −1.38456 | + | 2.39813i | ||||
\(39\) | 0.872572 | + | 3.49837i | 0.139723 | + | 0.560188i | ||||
\(40\) | −12.9216 | + | 7.46031i | −2.04309 | + | 1.17958i | ||||
\(41\) | −2.38652 | + | 8.90661i | −0.372712 | + | 1.39098i | 0.483948 | + | 0.875097i | \(0.339203\pi\) |
−0.856659 | + | 0.515882i | \(0.827464\pi\) | |||||||
\(42\) | 5.51034 | − | 3.50801i | 0.850264 | − | 0.541298i | ||||
\(43\) | 3.04772 | + | 1.75960i | 0.464773 | + | 0.268337i | 0.714049 | − | 0.700096i | \(-0.246859\pi\) |
−0.249276 | + | 0.968432i | \(0.580193\pi\) | |||||||
\(44\) | −5.54333 | − | 1.48533i | −0.835689 | − | 0.223922i | ||||
\(45\) | 0.746344 | − | 2.78539i | 0.111258 | − | 0.415222i | ||||
\(46\) | −1.45571 | + | 5.43279i | −0.214633 | + | 0.801021i | ||||
\(47\) | −0.833593 | − | 0.223361i | −0.121592 | − | 0.0325805i | 0.197510 | − | 0.980301i | \(-0.436715\pi\) |
−0.319102 | + | 0.947720i | \(0.603381\pi\) | |||||||
\(48\) | −3.96937 | − | 2.29172i | −0.572930 | − | 0.330781i | ||||
\(49\) | 5.73661 | − | 4.01139i | 0.819516 | − | 0.573056i | ||||
\(50\) | −2.11860 | + | 7.90673i | −0.299616 | + | 1.11818i | ||||
\(51\) | 6.54425 | − | 3.77833i | 0.916379 | − | 0.529072i | ||||
\(52\) | 10.6218 | − | 10.2592i | 1.47298 | − | 1.42269i | ||||
\(53\) | −0.886338 | + | 1.53518i | −0.121748 | + | 0.210873i | −0.920457 | − | 0.390844i | \(-0.872183\pi\) |
0.798709 | + | 0.601717i | \(0.205517\pi\) | |||||||
\(54\) | 2.38482 | − | 0.639011i | 0.324533 | − | 0.0869584i | ||||
\(55\) | −3.49922 | + | 2.02027i | −0.471834 | + | 0.272414i | ||||
\(56\) | −12.1409 | − | 6.32504i | −1.62239 | − | 0.845220i | ||||
\(57\) | −4.88884 | + | 4.88884i | −0.647543 | + | 0.647543i | ||||
\(58\) | −13.0974 | + | 13.0974i | −1.71977 | + | 1.71977i | ||||
\(59\) | 5.19948 | + | 1.39320i | 0.676915 | + | 0.181379i | 0.580868 | − | 0.813998i | \(-0.302713\pi\) |
0.0960471 | + | 0.995377i | \(0.469380\pi\) | |||||||
\(60\) | −11.4082 | + | 3.05681i | −1.47279 | + | 0.394632i | ||||
\(61\) | 4.18771i | 0.536182i | 0.963394 | + | 0.268091i | \(0.0863927\pi\) | ||||
−0.963394 | + | 0.268091i | \(0.913607\pi\) | |||||||
\(62\) | 6.64246 | + | 11.5051i | 0.843594 | + | 1.46115i | ||||
\(63\) | 2.52355 | − | 0.794791i | 0.317937 | − | 0.100134i | ||||
\(64\) | − | 6.77728i | − | 0.847160i | ||||||
\(65\) | 0.180534 | − | 10.3956i | 0.0223925 | − | 1.28941i | ||||
\(66\) | −2.99599 | − | 1.72974i | −0.368781 | − | 0.212916i | ||||
\(67\) | −3.93850 | + | 3.93850i | −0.481165 | + | 0.481165i | −0.905504 | − | 0.424339i | \(-0.860507\pi\) |
0.424339 | + | 0.905504i | \(0.360507\pi\) | |||||||
\(68\) | −26.8034 | − | 15.4749i | −3.25039 | − | 1.87661i | ||||
\(69\) | −1.13903 | + | 1.97286i | −0.137124 | + | 0.237505i | ||||
\(70\) | −17.9666 | + | 5.65859i | −2.14742 | + | 0.676330i | ||||
\(71\) | −1.75325 | − | 6.54321i | −0.208072 | − | 0.776536i | −0.988491 | − | 0.151279i | \(-0.951661\pi\) |
0.780419 | − | 0.625257i | \(-0.215006\pi\) | |||||||
\(72\) | −3.65872 | − | 3.65872i | −0.431184 | − | 0.431184i | ||||
\(73\) | 2.17041 | + | 8.10009i | 0.254027 | + | 0.948043i | 0.968629 | + | 0.248512i | \(0.0799414\pi\) |
−0.714601 | + | 0.699532i | \(0.753392\pi\) | |||||||
\(74\) | 2.82328 | + | 4.89006i | 0.328199 | + | 0.568458i | ||||
\(75\) | −1.65772 | + | 2.87125i | −0.191417 | + | 0.331544i | ||||
\(76\) | 27.3523 | + | 7.32903i | 3.13753 | + | 0.840698i | ||||
\(77\) | −3.28779 | − | 1.71284i | −0.374678 | − | 0.195196i | ||||
\(78\) | 7.78542 | − | 4.31643i | 0.881525 | − | 0.488739i | ||||
\(79\) | 0.411935 | + | 0.713493i | 0.0463463 | + | 0.0802742i | 0.888268 | − | 0.459326i | \(-0.151909\pi\) |
−0.841922 | + | 0.539600i | \(0.818576\pi\) | |||||||
\(80\) | 9.34585 | + | 9.34585i | 1.04490 | + | 1.04490i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 22.7657 | 2.51405 | ||||||||
\(83\) | −2.15380 | − | 2.15380i | −0.236410 | − | 0.236410i | 0.578952 | − | 0.815362i | \(-0.303462\pi\) |
−0.815362 | + | 0.578952i | \(0.803462\pi\) | |||||||
\(84\) | −7.98699 | − | 7.32339i | −0.871452 | − | 0.799048i | ||||
\(85\) | −21.0482 | + | 5.63986i | −2.28300 | + | 0.611729i | ||||
\(86\) | 2.24881 | − | 8.39268i | 0.242496 | − | 0.905006i | ||||
\(87\) | −6.49707 | + | 3.75108i | −0.696559 | + | 0.402158i | ||||
\(88\) | 7.25006i | 0.772859i | ||||||||
\(89\) | −0.666102 | − | 2.48593i | −0.0706067 | − | 0.263508i | 0.921595 | − | 0.388154i | \(-0.126887\pi\) |
−0.992201 | + | 0.124646i | \(0.960220\pi\) | |||||||
\(90\) | −7.11959 | −0.750470 | ||||||||
\(91\) | 8.13481 | − | 4.98246i | 0.852760 | − | 0.522303i | ||||
\(92\) | 9.33031 | 0.972752 | ||||||||
\(93\) | 1.39265 | + | 5.19745i | 0.144411 | + | 0.538951i | ||||
\(94\) | 2.13070i | 0.219765i | ||||||||
\(95\) | 17.2661 | − | 9.96859i | 1.77146 | − | 1.02276i | ||||
\(96\) | −0.250500 | + | 0.934879i | −0.0255666 | + | 0.0954157i | ||||
\(97\) | −8.79336 | + | 2.35617i | −0.892830 | + | 0.239233i | −0.675934 | − | 0.736962i | \(-0.736260\pi\) |
−0.216896 | + | 0.976195i | \(0.569593\pi\) | |||||||
\(98\) | −13.2322 | − | 11.1175i | −1.33666 | − | 1.12304i | ||||
\(99\) | −0.990792 | − | 0.990792i | −0.0995784 | − | 0.0995784i | ||||
\(100\) | 13.5791 | 1.35791 | ||||||||
\(101\) | 17.9528 | 1.78637 | 0.893187 | − | 0.449686i | \(-0.148464\pi\) | ||||
0.893187 | + | 0.449686i | \(0.148464\pi\) | |||||||
\(102\) | −13.1925 | − | 13.1925i | −1.30625 | − | 1.30625i | ||||
\(103\) | −3.06226 | − | 5.30399i | −0.301734 | − | 0.522618i | 0.674795 | − | 0.738005i | \(-0.264232\pi\) |
−0.976529 | + | 0.215387i | \(0.930899\pi\) | |||||||
\(104\) | −15.9921 | − | 9.60707i | −1.56815 | − | 0.942051i | ||||
\(105\) | −7.62227 | + | 0.330370i | −0.743857 | + | 0.0322408i | ||||
\(106\) | 4.22752 | + | 1.13276i | 0.410613 | + | 0.110023i | ||||
\(107\) | 2.36698 | − | 4.09974i | 0.228825 | − | 0.396336i | −0.728635 | − | 0.684902i | \(-0.759845\pi\) |
0.957460 | + | 0.288566i | \(0.0931783\pi\) | |||||||
\(108\) | −2.04786 | − | 3.54699i | −0.197055 | − | 0.341309i | ||||
\(109\) | −4.56224 | − | 17.0265i | −0.436983 | − | 1.63084i | −0.736275 | − | 0.676683i | \(-0.763417\pi\) |
0.299291 | − | 0.954162i | \(-0.403250\pi\) | |||||||
\(110\) | 7.05403 | + | 7.05403i | 0.672576 | + | 0.672576i | ||||
\(111\) | 0.591926 | + | 2.20910i | 0.0561832 | + | 0.209678i | ||||
\(112\) | −2.62844 | + | 11.8384i | −0.248365 | + | 1.11862i | ||||
\(113\) | −6.86440 | + | 11.8895i | −0.645748 | + | 1.11847i | 0.338380 | + | 0.941010i | \(0.390121\pi\) |
−0.984128 | + | 0.177459i | \(0.943212\pi\) | |||||||
\(114\) | 14.7830 | + | 8.53499i | 1.38456 | + | 0.799376i | ||||
\(115\) | 4.64509 | − | 4.64509i | 0.433157 | − | 0.433157i | ||||
\(116\) | 26.6101 | + | 15.3634i | 2.47069 | + | 1.42645i | ||||
\(117\) | 3.49837 | − | 0.872572i | 0.323425 | − | 0.0806693i | ||||
\(118\) | − | 13.2901i | − | 1.22345i | ||||||
\(119\) | −14.7361 | − | 13.5118i | −1.35086 | − | 1.23862i | ||||
\(120\) | 7.46031 | + | 12.9216i | 0.681030 | + | 1.17958i | ||||
\(121\) | − | 9.03666i | − | 0.821515i | ||||||
\(122\) | 9.98695 | − | 2.67600i | 0.904176 | − | 0.242273i | ||||
\(123\) | 8.90661 | + | 2.38652i | 0.803082 | + | 0.215185i | ||||
\(124\) | 15.5834 | − | 15.5834i | 1.39943 | − | 1.39943i | ||||
\(125\) | −3.43490 | + | 3.43490i | −0.307227 | + | 0.307227i | ||||
\(126\) | −3.50801 | − | 5.51034i | −0.312519 | − | 0.490900i | ||||
\(127\) | −9.36268 | + | 5.40554i | −0.830803 | + | 0.479665i | −0.854128 | − | 0.520063i | \(-0.825908\pi\) |
0.0233243 | + | 0.999728i | \(0.492575\pi\) | |||||||
\(128\) | −18.0324 | + | 4.83176i | −1.59385 | + | 0.427071i | ||||
\(129\) | 1.75960 | − | 3.04772i | 0.154924 | − | 0.268337i | ||||
\(130\) | −24.9070 | + | 6.21235i | −2.18449 | + | 0.544859i | ||||
\(131\) | 15.7531 | − | 9.09505i | 1.37635 | − | 0.794638i | 0.384635 | − | 0.923069i | \(-0.374327\pi\) |
0.991719 | + | 0.128431i | \(0.0409939\pi\) | |||||||
\(132\) | −1.48533 | + | 5.54333i | −0.129282 | + | 0.482485i | ||||
\(133\) | 16.2228 | + | 8.45163i | 1.40670 | + | 0.732849i | ||||
\(134\) | 11.9094 | + | 6.87588i | 1.02881 | + | 0.593986i | ||||
\(135\) | −2.78539 | − | 0.746344i | −0.239728 | − | 0.0642350i | ||||
\(136\) | −10.1197 | + | 37.7674i | −0.867761 | + | 3.23853i | ||||
\(137\) | −2.52073 | + | 9.40750i | −0.215361 | + | 0.803737i | 0.770679 | + | 0.637224i | \(0.219917\pi\) |
−0.986039 | + | 0.166513i | \(0.946749\pi\) | |||||||
\(138\) | 5.43279 | + | 1.45571i | 0.462469 | + | 0.123918i | ||||
\(139\) | 13.6153 | + | 7.86079i | 1.15483 | + | 0.666744i | 0.950060 | − | 0.312066i | \(-0.101021\pi\) |
0.204773 | + | 0.978809i | \(0.434354\pi\) | |||||||
\(140\) | 16.7811 | + | 26.3596i | 1.41826 | + | 2.22779i | ||||
\(141\) | −0.223361 | + | 0.833593i | −0.0188104 | + | 0.0702012i | ||||
\(142\) | −14.4840 | + | 8.36236i | −1.21547 | + | 0.701754i | ||||
\(143\) | −4.33070 | − | 2.60162i | −0.362151 | − | 0.217559i | ||||
\(144\) | −2.29172 | + | 3.96937i | −0.190977 | + | 0.330781i | ||||
\(145\) | 20.8965 | − | 5.59919i | 1.73536 | − | 0.464988i | ||||
\(146\) | 17.9303 | − | 10.3521i | 1.48393 | − | 0.856745i | ||||
\(147\) | −4.01139 | − | 5.73661i | −0.330854 | − | 0.473148i | ||||
\(148\) | 6.62347 | − | 6.62347i | 0.544446 | − | 0.544446i | ||||
\(149\) | −9.10487 | + | 9.10487i | −0.745900 | + | 0.745900i | −0.973706 | − | 0.227807i | \(-0.926845\pi\) |
0.227807 | + | 0.973706i | \(0.426845\pi\) | |||||||
\(150\) | 7.90673 | + | 2.11860i | 0.645582 | + | 0.172983i | ||||
\(151\) | −3.37382 | + | 0.904012i | −0.274557 | + | 0.0735674i | −0.393471 | − | 0.919337i | \(-0.628726\pi\) |
0.118913 | + | 0.992905i | \(0.462059\pi\) | |||||||
\(152\) | − | 35.7738i | − | 2.90164i | ||||||
\(153\) | −3.77833 | − | 6.54425i | −0.305460 | − | 0.529072i | ||||
\(154\) | −1.98389 | + | 8.93531i | −0.159866 | + | 0.720028i | ||||
\(155\) | − | 15.5163i | − | 1.24630i | ||||||
\(156\) | −10.2592 | − | 10.6218i | −0.821391 | − | 0.850425i | ||||
\(157\) | 0.246511 | + | 0.142323i | 0.0196737 | + | 0.0113586i | 0.509805 | − | 0.860290i | \(-0.329718\pi\) |
−0.490131 | + | 0.871649i | \(0.663051\pi\) | |||||||
\(158\) | 1.43832 | − | 1.43832i | 0.114427 | − | 0.114427i | ||||
\(159\) | 1.53518 | + | 0.886338i | 0.121748 | + | 0.0702911i | ||||
\(160\) | 1.39548 | − | 2.41705i | 0.110323 | − | 0.191084i | ||||
\(161\) | 5.88392 | + | 1.30639i | 0.463718 | + | 0.102958i | ||||
\(162\) | −0.639011 | − | 2.38482i | −0.0502055 | − | 0.187369i | ||||
\(163\) | 9.69311 | + | 9.69311i | 0.759223 | + | 0.759223i | 0.976181 | − | 0.216958i | \(-0.0696135\pi\) |
−0.216958 | + | 0.976181i | \(0.569614\pi\) | |||||||
\(164\) | −9.77450 | − | 36.4789i | −0.763260 | − | 2.84853i | ||||
\(165\) | 2.02027 | + | 3.49922i | 0.157278 | + | 0.272414i | ||||
\(166\) | −3.76012 | + | 6.51273i | −0.291842 | + | 0.505486i | ||||
\(167\) | 8.45838 | + | 2.26642i | 0.654529 | + | 0.175381i | 0.570776 | − | 0.821106i | \(-0.306642\pi\) |
0.0837535 | + | 0.996487i | \(0.473309\pi\) | |||||||
\(168\) | −6.32504 | + | 12.1409i | −0.487988 | + | 0.936689i | ||||
\(169\) | 11.4772 | − | 6.10516i | 0.882864 | − | 0.469628i | ||||
\(170\) | 26.9001 | + | 46.5924i | 2.06315 | + | 3.57347i | ||||
\(171\) | 4.88884 | + | 4.88884i | 0.373859 | + | 0.373859i | ||||
\(172\) | −14.4137 | −1.09903 | ||||||||
\(173\) | −10.8426 | −0.824344 | −0.412172 | − | 0.911106i | \(-0.635230\pi\) | ||||
−0.412172 | + | 0.911106i | \(0.635230\pi\) | |||||||
\(174\) | 13.0974 | + | 13.0974i | 0.992909 | + | 0.992909i | ||||
\(175\) | 8.56330 | + | 1.90129i | 0.647324 | + | 0.143724i | ||||
\(176\) | 6.20344 | − | 1.66221i | 0.467602 | − | 0.125294i | ||||
\(177\) | 1.39320 | − | 5.19948i | 0.104719 | − | 0.390817i | ||||
\(178\) | −5.50285 | + | 3.17707i | −0.412456 | + | 0.238131i | ||||
\(179\) | 8.17300i | 0.610879i | 0.952212 | + | 0.305439i | \(0.0988033\pi\) | ||||
−0.952212 | + | 0.305439i | \(0.901197\pi\) | |||||||
\(180\) | 3.05681 | + | 11.4082i | 0.227841 | + | 0.850315i | ||||
\(181\) | −4.10394 | −0.305043 | −0.152522 | − | 0.988300i | \(-0.548739\pi\) | ||||
−0.152522 | + | 0.988300i | \(0.548739\pi\) | |||||||
\(182\) | −17.0805 | − | 16.2162i | −1.26609 | − | 1.20203i | ||||
\(183\) | 4.18771 | 0.309565 | ||||||||
\(184\) | −3.05075 | − | 11.3856i | −0.224904 | − | 0.839355i | ||||
\(185\) | − | 6.59499i | − | 0.484873i | ||||||
\(186\) | 11.5051 | − | 6.64246i | 0.843594 | − | 0.487049i | ||||
\(187\) | −2.74046 | + | 10.2275i | −0.200402 | + | 0.747911i | ||||
\(188\) | 3.41416 | − | 0.914821i | 0.249003 | − | 0.0667201i | ||||
\(189\) | −0.794791 | − | 2.52355i | −0.0578126 | − | 0.183561i | ||||
\(190\) | −34.8065 | − | 34.8065i | −2.52513 | − | 2.52513i | ||||
\(191\) | −4.41878 | −0.319732 | −0.159866 | − | 0.987139i | \(-0.551106\pi\) | ||||
−0.159866 | + | 0.987139i | \(0.551106\pi\) | |||||||
\(192\) | −6.77728 | −0.489108 | ||||||||
\(193\) | −7.97873 | − | 7.97873i | −0.574322 | − | 0.574322i | 0.359011 | − | 0.933333i | \(-0.383114\pi\) |
−0.933333 | + | 0.359011i | \(0.883114\pi\) | |||||||
\(194\) | 11.2381 | + | 19.4650i | 0.806849 | + | 1.39750i | ||||
\(195\) | −10.3956 | − | 0.180534i | −0.744443 | − | 0.0129283i | ||||
\(196\) | −12.1330 | + | 25.9761i | −0.866640 | + | 1.85544i | ||||
\(197\) | 4.66242 | + | 1.24929i | 0.332183 | + | 0.0890083i | 0.421056 | − | 0.907035i | \(-0.361660\pi\) |
−0.0888723 | + | 0.996043i | \(0.528326\pi\) | |||||||
\(198\) | −1.72974 | + | 2.99599i | −0.122927 | + | 0.212916i | ||||
\(199\) | −5.75542 | − | 9.96867i | −0.407991 | − | 0.706660i | 0.586674 | − | 0.809823i | \(-0.300437\pi\) |
−0.994664 | + | 0.103163i | \(0.967104\pi\) | |||||||
\(200\) | −4.43998 | − | 16.5702i | −0.313954 | − | 1.17169i | ||||
\(201\) | 3.93850 | + | 3.93850i | 0.277801 | + | 0.277801i | ||||
\(202\) | −11.4721 | − | 42.8143i | −0.807171 | − | 3.01240i | ||||
\(203\) | 14.6299 | + | 13.4143i | 1.02681 | + | 0.941503i | ||||
\(204\) | −15.4749 | + | 26.8034i | −1.08346 | + | 1.87661i | ||||
\(205\) | −23.0273 | − | 13.2948i | −1.60829 | − | 0.928548i | ||||
\(206\) | −10.6923 | + | 10.6923i | −0.744965 | + | 0.744965i | ||||
\(207\) | 1.97286 | + | 1.13903i | 0.137124 | + | 0.0791683i | ||||
\(208\) | −4.55373 | + | 15.8860i | −0.315744 | + | 1.10150i | ||||
\(209\) | − | 9.68766i | − | 0.670109i | ||||||
\(210\) | 5.65859 | + | 17.9666i | 0.390480 | + | 1.23982i | ||||
\(211\) | −1.96759 | − | 3.40797i | −0.135454 | − | 0.234614i | 0.790317 | − | 0.612699i | \(-0.209916\pi\) |
−0.925771 | + | 0.378085i | \(0.876583\pi\) | |||||||
\(212\) | − | 7.26037i | − | 0.498644i | ||||||
\(213\) | −6.54321 | + | 1.75325i | −0.448333 | + | 0.120130i | ||||
\(214\) | −11.2897 | − | 3.02506i | −0.771746 | − | 0.206789i | ||||
\(215\) | −7.17583 | + | 7.17583i | −0.489388 | + | 0.489388i | ||||
\(216\) | −3.65872 | + | 3.65872i | −0.248944 | + | 0.248944i | ||||
\(217\) | 12.0092 | − | 7.64532i | 0.815236 | − | 0.518998i | ||||
\(218\) | −37.6899 | + | 21.7603i | −2.55268 | + | 1.47379i | ||||
\(219\) | 8.10009 | − | 2.17041i | 0.547353 | − | 0.146663i | ||||
\(220\) | 8.27446 | − | 14.3318i | 0.557864 | − | 0.966249i | ||||
\(221\) | −18.9283 | − | 19.5974i | −1.27326 | − | 1.31826i | ||||
\(222\) | 4.89006 | − | 2.82328i | 0.328199 | − | 0.189486i | ||||
\(223\) | −2.38797 | + | 8.91203i | −0.159910 | + | 0.596794i | 0.838724 | + | 0.544556i | \(0.183302\pi\) |
−0.998635 | + | 0.0522375i | \(0.983365\pi\) | |||||||
\(224\) | 2.55831 | − | 0.110884i | 0.170934 | − | 0.00740875i | ||||
\(225\) | 2.87125 | + | 1.65772i | 0.191417 | + | 0.110515i | ||||
\(226\) | 32.7408 | + | 8.77286i | 2.17788 | + | 0.583562i | ||||
\(227\) | −1.52167 | + | 5.67894i | −0.100997 | + | 0.376924i | −0.997860 | − | 0.0653827i | \(-0.979173\pi\) |
0.896864 | + | 0.442307i | \(0.145840\pi\) | |||||||
\(228\) | 7.32903 | − | 27.3523i | 0.485377 | − | 1.81145i | ||||
\(229\) | 2.10769 | + | 0.564755i | 0.139280 | + | 0.0373201i | 0.327786 | − | 0.944752i | \(-0.393698\pi\) |
−0.188505 | + | 0.982072i | \(0.560364\pi\) | |||||||
\(230\) | −14.0460 | − | 8.10945i | −0.926164 | − | 0.534721i | ||||
\(231\) | −1.71284 | + | 3.28779i | −0.112697 | + | 0.216321i | ||||
\(232\) | 10.0468 | − | 37.4951i | 0.659603 | − | 2.46167i | ||||
\(233\) | 10.5892 | − | 6.11367i | 0.693720 | − | 0.400520i | −0.111284 | − | 0.993789i | \(-0.535496\pi\) |
0.805004 | + | 0.593269i | \(0.202163\pi\) | |||||||
\(234\) | −4.31643 | − | 7.78542i | −0.282174 | − | 0.508949i | ||||
\(235\) | 1.24429 | − | 2.15518i | 0.0811688 | − | 0.140588i | ||||
\(236\) | −21.2956 | + | 5.70613i | −1.38622 | + | 0.371438i | ||||
\(237\) | 0.713493 | − | 0.411935i | 0.0463463 | − | 0.0267581i | ||||
\(238\) | −22.8066 | + | 43.7772i | −1.47833 | + | 2.83765i | ||||
\(239\) | 7.97620 | − | 7.97620i | 0.515938 | − | 0.515938i | −0.400402 | − | 0.916340i | \(-0.631130\pi\) |
0.916340 | + | 0.400402i | \(0.131130\pi\) | |||||||
\(240\) | 9.34585 | − | 9.34585i | 0.603272 | − | 0.603272i | ||||
\(241\) | −12.4172 | − | 3.32719i | −0.799865 | − | 0.214323i | −0.164340 | − | 0.986404i | \(-0.552550\pi\) |
−0.635525 | + | 0.772081i | \(0.719216\pi\) | |||||||
\(242\) | −21.5508 | + | 5.77453i | −1.38534 | + | 0.371201i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −8.57584 | − | 14.8538i | −0.549012 | − | 0.950916i | ||||
\(245\) | 6.89181 | + | 18.9726i | 0.440302 | + | 1.21211i | ||||
\(246\) | − | 22.7657i | − | 1.45149i | ||||||
\(247\) | 21.3689 | + | 12.8371i | 1.35967 | + | 0.816807i | ||||
\(248\) | −24.1114 | − | 13.9207i | −1.53107 | − | 0.883965i | ||||
\(249\) | −2.15380 | + | 2.15380i | −0.136491 | + | 0.136491i | ||||
\(250\) | 10.3866 | + | 5.99669i | 0.656904 | + | 0.379264i | ||||
\(251\) | −13.1084 | + | 22.7045i | −0.827397 | + | 1.43309i | 0.0726757 | + | 0.997356i | \(0.476846\pi\) |
−0.900073 | + | 0.435739i | \(0.856487\pi\) | |||||||
\(252\) | −7.32339 | + | 7.98699i | −0.461330 | + | 0.503133i | ||||
\(253\) | −0.826153 | − | 3.08324i | −0.0519398 | − | 0.193842i | ||||
\(254\) | 18.8741 | + | 18.8741i | 1.18427 | + | 1.18427i | ||||
\(255\) | 5.63986 | + | 21.0482i | 0.353182 | + | 1.31809i | ||||
\(256\) | 16.2685 | + | 28.1779i | 1.01678 | + | 1.76112i | ||||
\(257\) | 3.21682 | − | 5.57169i | 0.200660 | − | 0.347553i | −0.748081 | − | 0.663607i | \(-0.769025\pi\) |
0.948741 | + | 0.316054i | \(0.102358\pi\) | |||||||
\(258\) | −8.39268 | − | 2.24881i | −0.522505 | − | 0.140005i | ||||
\(259\) | 5.10431 | − | 3.24953i | 0.317167 | − | 0.201916i | ||||
\(260\) | 20.6483 | + | 37.2427i | 1.28055 | + | 2.30970i | ||||
\(261\) | 3.75108 | + | 6.49707i | 0.232186 | + | 0.402158i | ||||
\(262\) | −31.7565 | − | 31.7565i | −1.96192 | − | 1.96192i | ||||
\(263\) | 15.0122 | 0.925692 | 0.462846 | − | 0.886439i | \(-0.346828\pi\) | ||||
0.462846 | + | 0.886439i | \(0.346828\pi\) | |||||||
\(264\) | 7.25006 | 0.446210 | ||||||||
\(265\) | −3.61457 | − | 3.61457i | −0.222041 | − | 0.222041i | ||||
\(266\) | 9.78906 | − | 44.0893i | 0.600206 | − | 2.70329i | ||||
\(267\) | −2.48593 | + | 0.666102i | −0.152136 | + | 0.0407648i | ||||
\(268\) | 5.90435 | − | 22.0353i | 0.360665 | − | 1.34602i | ||||
\(269\) | −19.1989 | + | 11.0845i | −1.17058 | + | 0.675834i | −0.953816 | − | 0.300390i | \(-0.902883\pi\) |
−0.216763 | + | 0.976224i | \(0.569550\pi\) | |||||||
\(270\) | 7.11959i | 0.433284i | ||||||||
\(271\) | 5.45440 | + | 20.3561i | 0.331331 | + | 1.23655i | 0.907792 | + | 0.419420i | \(0.137767\pi\) |
−0.576461 | + | 0.817125i | \(0.695567\pi\) | |||||||
\(272\) | 34.6354 | 2.10008 | ||||||||
\(273\) | −4.98246 | − | 8.13481i | −0.301552 | − | 0.492341i | ||||
\(274\) | 24.0460 | 1.45267 | ||||||||
\(275\) | −1.20236 | − | 4.48727i | −0.0725051 | − | 0.270593i | ||||
\(276\) | − | 9.33031i | − | 0.561619i | ||||||
\(277\) | 8.54607 | − | 4.93407i | 0.513483 | − | 0.296460i | −0.220781 | − | 0.975323i | \(-0.570861\pi\) |
0.734264 | + | 0.678864i | \(0.237527\pi\) | |||||||
\(278\) | 10.0463 | − | 37.4932i | 0.602535 | − | 2.24869i | ||||
\(279\) | 5.19745 | − | 1.39265i | 0.311163 | − | 0.0833760i | ||||
\(280\) | 26.6790 | − | 29.0965i | 1.59437 | − | 1.73885i | ||||
\(281\) | 21.3933 | + | 21.3933i | 1.27622 | + | 1.27622i | 0.942768 | + | 0.333449i | \(0.108212\pi\) |
0.333449 | + | 0.942768i | \(0.391788\pi\) | |||||||
\(282\) | 2.13070 | 0.126881 | ||||||||
\(283\) | 21.4880 | 1.27733 | 0.638666 | − | 0.769484i | \(-0.279487\pi\) | ||||
0.638666 | + | 0.769484i | \(0.279487\pi\) | |||||||
\(284\) | 19.6183 | + | 19.6183i | 1.16413 | + | 1.16413i | ||||
\(285\) | −9.96859 | − | 17.2661i | −0.590488 | − | 1.02276i | ||||
\(286\) | −3.43705 | + | 11.9904i | −0.203237 | + | 0.709008i | ||||
\(287\) | −1.05639 | − | 24.3731i | −0.0623570 | − | 1.43870i | ||||
\(288\) | 0.934879 | + | 0.250500i | 0.0550883 | + | 0.0147609i | ||||
\(289\) | −20.0515 | + | 34.7302i | −1.17950 | + | 2.04295i | ||||
\(290\) | −26.7062 | − | 46.2564i | −1.56824 | − | 2.71627i | ||||
\(291\) | 2.35617 | + | 8.79336i | 0.138121 | + | 0.515476i | ||||
\(292\) | −24.2862 | − | 24.2862i | −1.42124 | − | 1.42124i | ||||
\(293\) | 0.259901 | + | 0.969962i | 0.0151836 | + | 0.0566658i | 0.973102 | − | 0.230375i | \(-0.0739952\pi\) |
−0.957918 | + | 0.287041i | \(0.907329\pi\) | |||||||
\(294\) | −11.1175 | + | 13.2322i | −0.648385 | + | 0.771719i | ||||
\(295\) | −7.76120 | + | 13.4428i | −0.451874 | + | 0.782670i | ||||
\(296\) | −10.2482 | − | 5.91678i | −0.595662 | − | 0.343906i | ||||
\(297\) | −0.990792 | + | 0.990792i | −0.0574916 | + | 0.0574916i | ||||
\(298\) | 27.5316 | + | 15.8954i | 1.59486 | + | 0.920795i | ||||
\(299\) | 7.89571 | + | 2.26330i | 0.456620 | + | 0.130890i | ||||
\(300\) | − | 13.5791i | − | 0.783989i | ||||||
\(301\) | −9.08960 | − | 2.01814i | −0.523916 | − | 0.116324i | ||||
\(302\) | 4.31182 | + | 7.46828i | 0.248117 | + | 0.429751i | ||||
\(303\) | − | 17.9528i | − | 1.03136i | ||||||
\(304\) | −30.6095 | + | 8.20179i | −1.75557 | + | 0.470405i | ||||
\(305\) | −11.6644 | − | 3.12547i | −0.667903 | − | 0.178964i | ||||
\(306\) | −13.1925 | + | 13.1925i | −0.754164 | + | 0.754164i | ||||
\(307\) | 4.86151 | − | 4.86151i | 0.277461 | − | 0.277461i | −0.554634 | − | 0.832095i | \(-0.687142\pi\) |
0.832095 | + | 0.554634i | \(0.187142\pi\) | |||||||
\(308\) | 15.1694 | − | 0.657483i | 0.864357 | − | 0.0374636i | ||||
\(309\) | −5.30399 | + | 3.06226i | −0.301734 | + | 0.174206i | ||||
\(310\) | −37.0037 | + | 9.91512i | −2.10167 | + | 0.563141i | ||||
\(311\) | −6.85636 | + | 11.8756i | −0.388789 | + | 0.673402i | −0.992287 | − | 0.123963i | \(-0.960440\pi\) |
0.603498 | + | 0.797364i | \(0.293773\pi\) | |||||||
\(312\) | −9.60707 | + | 15.9921i | −0.543893 | + | 0.905372i | ||||
\(313\) | −29.5010 | + | 17.0324i | −1.66750 | + | 0.962730i | −0.698517 | + | 0.715593i | \(0.746156\pi\) |
−0.968981 | + | 0.247137i | \(0.920510\pi\) | |||||||
\(314\) | 0.181892 | − | 0.678830i | 0.0102648 | − | 0.0383086i | ||||
\(315\) | 0.330370 | + | 7.62227i | 0.0186142 | + | 0.429466i | ||||
\(316\) | −2.92226 | − | 1.68717i | −0.164390 | − | 0.0949106i | ||||
\(317\) | 9.41539 | + | 2.52285i | 0.528821 | + | 0.141697i | 0.513344 | − | 0.858183i | \(-0.328407\pi\) |
0.0154772 | + | 0.999880i | \(0.495073\pi\) | |||||||
\(318\) | 1.13276 | − | 4.22752i | 0.0635220 | − | 0.237067i | ||||
\(319\) | 2.72070 | − | 10.1538i | 0.152330 | − | 0.568503i | ||||
\(320\) | 18.8774 | + | 5.05818i | 1.05528 | + | 0.282761i | ||||
\(321\) | −4.09974 | − | 2.36698i | −0.228825 | − | 0.132112i | ||||
\(322\) | −0.644371 | − | 14.8669i | −0.0359094 | − | 0.828500i | ||||
\(323\) | 13.5222 | − | 50.4655i | 0.752394 | − | 2.80797i | ||||
\(324\) | −3.54699 | + | 2.04786i | −0.197055 | + | 0.113770i | ||||
\(325\) | 11.4912 | + | 3.29395i | 0.637417 | + | 0.182715i | ||||
\(326\) | 16.9223 | − | 29.3103i | 0.937241 | − | 1.62335i | ||||
\(327\) | −17.0265 | + | 4.56224i | −0.941569 | + | 0.252293i | ||||
\(328\) | −41.3184 | + | 23.8552i | −2.28143 | + | 1.31718i | ||||
\(329\) | 2.28114 | − | 0.0988707i | 0.125763 | − | 0.00545092i | ||||
\(330\) | 7.05403 | − | 7.05403i | 0.388312 | − | 0.388312i | ||||
\(331\) | 14.6501 | − | 14.6501i | 0.805241 | − | 0.805241i | −0.178669 | − | 0.983909i | \(-0.557179\pi\) |
0.983909 | + | 0.178669i | \(0.0571790\pi\) | |||||||
\(332\) | 12.0502 | + | 3.22883i | 0.661339 | + | 0.177205i | ||||
\(333\) | 2.20910 | − | 0.591926i | 0.121058 | − | 0.0324374i | ||||
\(334\) | − | 21.6200i | − | 1.18299i | ||||||
\(335\) | −8.03080 | − | 13.9098i | −0.438769 | − | 0.759971i | ||||
\(336\) | 11.8384 | + | 2.62844i | 0.645835 | + | 0.143393i | ||||
\(337\) | 26.8744i | 1.46394i | 0.681336 | + | 0.731971i | \(0.261399\pi\) | ||||
−0.681336 | + | 0.731971i | \(0.738601\pi\) | |||||||
\(338\) | −21.8938 | − | 23.4699i | −1.19087 | − | 1.27659i | ||||
\(339\) | 11.8895 | + | 6.86440i | 0.645748 | + | 0.372823i | ||||
\(340\) | 63.1083 | − | 63.1083i | 3.42253 | − | 3.42253i | ||||
\(341\) | −6.52943 | − | 3.76977i | −0.353588 | − | 0.204144i | ||||
\(342\) | 8.53499 | − | 14.7830i | 0.461520 | − | 0.799376i | ||||
\(343\) | −11.2884 | + | 14.6824i | −0.609517 | + | 0.792773i | ||||
\(344\) | 4.71286 | + | 17.5886i | 0.254101 | + | 0.948316i | ||||
\(345\) | −4.64509 | − | 4.64509i | −0.250083 | − | 0.250083i | ||||
\(346\) | 6.92851 | + | 25.8576i | 0.372479 | + | 1.39011i | ||||
\(347\) | 3.08435 | + | 5.34226i | 0.165577 | + | 0.286787i | 0.936860 | − | 0.349705i | \(-0.113718\pi\) |
−0.771283 | + | 0.636492i | \(0.780385\pi\) | |||||||
\(348\) | 15.3634 | − | 26.6101i | 0.823562 | − | 1.42645i | ||||
\(349\) | 20.8536 | + | 5.58771i | 1.11627 | + | 0.299103i | 0.769372 | − | 0.638801i | \(-0.220569\pi\) |
0.346896 | + | 0.937904i | \(0.387236\pi\) | |||||||
\(350\) | −0.937801 | − | 21.6369i | −0.0501276 | − | 1.15654i | ||||
\(351\) | −0.872572 | − | 3.49837i | −0.0465744 | − | 0.186729i | ||||
\(352\) | −0.678077 | − | 1.17446i | −0.0361416 | − | 0.0625992i | ||||
\(353\) | 9.36561 | + | 9.36561i | 0.498481 | + | 0.498481i | 0.910965 | − | 0.412484i | \(-0.135339\pi\) |
−0.412484 | + | 0.910965i | \(0.635339\pi\) | |||||||
\(354\) | −13.2901 | −0.706361 | ||||||||
\(355\) | 19.5339 | 1.03675 | ||||||||
\(356\) | 7.45348 | + | 7.45348i | 0.395034 | + | 0.395034i | ||||
\(357\) | −13.5118 | + | 14.7361i | −0.715119 | + | 0.779918i | ||||
\(358\) | 19.4911 | − | 5.22264i | 1.03014 | − | 0.276025i | ||||
\(359\) | −1.27796 | + | 4.76941i | −0.0674482 | + | 0.251720i | −0.991415 | − | 0.130753i | \(-0.958261\pi\) |
0.923967 | + | 0.382473i | \(0.124927\pi\) | |||||||
\(360\) | 12.9216 | − | 7.46031i | 0.681030 | − | 0.393193i | ||||
\(361\) | 28.8016i | 1.51587i | ||||||||
\(362\) | 2.62246 | + | 9.78717i | 0.137834 | + | 0.514402i | ||||
\(363\) | −9.03666 | −0.474302 | ||||||||
\(364\) | −18.6507 | + | 34.3316i | −0.977565 | + | 1.79947i | ||||
\(365\) | −24.1818 | −1.26573 | ||||||||
\(366\) | −2.67600 | − | 9.98695i | −0.139877 | − | 0.522026i | ||||
\(367\) | 20.4939i | 1.06978i | 0.844923 | + | 0.534888i | \(0.179646\pi\) | ||||
−0.844923 | + | 0.534888i | \(0.820354\pi\) | |||||||
\(368\) | −9.04250 | + | 5.22069i | −0.471373 | + | 0.272147i | ||||
\(369\) | 2.38652 | − | 8.90661i | 0.124237 | − | 0.463660i | ||||
\(370\) | −15.7279 | + | 4.21427i | −0.817653 | + | 0.219090i | ||||
\(371\) | 1.01657 | − | 4.57856i | 0.0527776 | − | 0.237707i | ||||
\(372\) | −15.5834 | − | 15.5834i | −0.807960 | − | 0.807960i | ||||
\(373\) | 23.2429 | 1.20347 | 0.601735 | − | 0.798696i | \(-0.294476\pi\) | ||||
0.601735 | + | 0.798696i | \(0.294476\pi\) | |||||||
\(374\) | 26.1420 | 1.35177 | ||||||||
\(375\) | 3.43490 | + | 3.43490i | 0.177378 | + | 0.177378i | ||||
\(376\) | −2.23267 | − | 3.86710i | −0.115141 | − | 0.199430i | ||||
\(377\) | 18.7918 | + | 19.4561i | 0.967829 | + | 1.00204i | ||||
\(378\) | −5.51034 | + | 3.50801i | −0.283421 | + | 0.180433i | ||||
\(379\) | −20.6487 | − | 5.53282i | −1.06066 | − | 0.284202i | −0.314007 | − | 0.949421i | \(-0.601671\pi\) |
−0.746648 | + | 0.665219i | \(0.768338\pi\) | |||||||
\(380\) | −40.8285 | + | 70.7170i | −2.09446 | + | 3.62770i | ||||
\(381\) | 5.40554 | + | 9.36268i | 0.276934 | + | 0.479665i | ||||
\(382\) | 2.82365 | + | 10.5380i | 0.144471 | + | 0.539171i | ||||
\(383\) | −7.50873 | − | 7.50873i | −0.383678 | − | 0.383678i | 0.488747 | − | 0.872425i | \(-0.337454\pi\) |
−0.872425 | + | 0.488747i | \(0.837454\pi\) | |||||||
\(384\) | 4.83176 | + | 18.0324i | 0.246570 | + | 0.920211i | ||||
\(385\) | 7.22476 | − | 7.87941i | 0.368208 | − | 0.401572i | ||||
\(386\) | −13.9294 | + | 24.1264i | −0.708986 | + | 1.22800i | ||||
\(387\) | −3.04772 | − | 1.75960i | −0.154924 | − | 0.0894456i | ||||
\(388\) | 26.3649 | − | 26.3649i | 1.33847 | − | 1.33847i | ||||
\(389\) | −14.3360 | − | 8.27689i | −0.726864 | − | 0.419655i | 0.0904098 | − | 0.995905i | \(-0.471182\pi\) |
−0.817274 | + | 0.576250i | \(0.804516\pi\) | |||||||
\(390\) | 6.21235 | + | 24.9070i | 0.314575 | + | 1.26121i | ||||
\(391\) | − | 17.2146i | − | 0.870578i | ||||||
\(392\) | 35.6652 | + | 6.31210i | 1.80137 | + | 0.318809i | ||||
\(393\) | −9.09505 | − | 15.7531i | −0.458785 | − | 0.794638i | ||||
\(394\) | − | 11.9173i | − | 0.600387i | ||||||
\(395\) | −2.29480 | + | 0.614890i | −0.115464 | + | 0.0309385i | ||||
\(396\) | 5.54333 | + | 1.48533i | 0.278563 | + | 0.0746407i | ||||
\(397\) | −20.9177 | + | 20.9177i | −1.04983 | + | 1.04983i | −0.0511377 | + | 0.998692i | \(0.516285\pi\) |
−0.998692 | + | 0.0511377i | \(0.983715\pi\) | |||||||
\(398\) | −20.0957 | + | 20.0957i | −1.00731 | + | 1.00731i | ||||
\(399\) | 8.45163 | − | 16.2228i | 0.423111 | − | 0.812158i | ||||
\(400\) | −13.1602 | + | 7.59805i | −0.658011 | + | 0.379903i | ||||
\(401\) | −9.79088 | + | 2.62346i | −0.488933 | + | 0.131009i | −0.494859 | − | 0.868973i | \(-0.664780\pi\) |
0.00592592 | + | 0.999982i | \(0.498114\pi\) | |||||||
\(402\) | 6.87588 | − | 11.9094i | 0.342938 | − | 0.593986i | ||||
\(403\) | 16.9674 | − | 9.40718i | 0.845209 | − | 0.468605i | ||||
\(404\) | −63.6785 | + | 36.7648i | −3.16813 | + | 1.82912i | ||||
\(405\) | −0.746344 | + | 2.78539i | −0.0370861 | + | 0.138407i | ||||
\(406\) | 22.6422 | − | 43.4615i | 1.12371 | − | 2.15696i | ||||
\(407\) | −2.77523 | − | 1.60228i | −0.137563 | − | 0.0794222i | ||||
\(408\) | 37.7674 | + | 10.1197i | 1.86977 | + | 0.501002i | ||||
\(409\) | 0.754787 | − | 2.81690i | 0.0373218 | − | 0.139287i | −0.944751 | − | 0.327789i | \(-0.893697\pi\) |
0.982073 | + | 0.188502i | \(0.0603632\pi\) | |||||||
\(410\) | −16.9910 | + | 63.4114i | −0.839128 | + | 3.13167i | ||||
\(411\) | 9.40750 | + | 2.52073i | 0.464038 | + | 0.124338i | ||||
\(412\) | 21.7236 | + | 12.5421i | 1.07025 | + | 0.617907i | ||||
\(413\) | −14.2285 | + | 0.616700i | −0.700136 | + | 0.0303458i | ||||
\(414\) | 1.45571 | − | 5.43279i | 0.0715443 | − | 0.267007i | ||||
\(415\) | 7.60664 | − | 4.39170i | 0.373395 | − | 0.215580i | ||||
\(416\) | 3.48913 | + | 0.0605938i | 0.171069 | + | 0.00297086i | ||||
\(417\) | 7.86079 | − | 13.6153i | 0.384945 | − | 0.666744i | ||||
\(418\) | −23.1033 | + | 6.19052i | −1.13002 | + | 0.302788i | ||||
\(419\) | −8.98142 | + | 5.18542i | −0.438771 | + | 0.253325i | −0.703076 | − | 0.711115i | \(-0.748191\pi\) |
0.264305 | + | 0.964439i | \(0.414857\pi\) | |||||||
\(420\) | 26.3596 | − | 16.7811i | 1.28621 | − | 0.818835i | ||||
\(421\) | 26.7368 | − | 26.7368i | 1.30307 | − | 1.30307i | 0.376762 | − | 0.926310i | \(-0.377038\pi\) |
0.926310 | − | 0.376762i | \(-0.122962\pi\) | |||||||
\(422\) | −6.87008 | + | 6.87008i | −0.334430 | + | 0.334430i | ||||
\(423\) | 0.833593 | + | 0.223361i | 0.0405307 | + | 0.0108602i | ||||
\(424\) | −8.85966 | + | 2.37394i | −0.430263 | + | 0.115289i | ||||
\(425\) | − | 25.0536i | − | 1.21528i | ||||||
\(426\) | 8.36236 | + | 14.4840i | 0.405158 | + | 0.701754i | ||||
\(427\) | −3.32836 | − | 10.5679i | −0.161071 | − | 0.511417i | ||||
\(428\) | 19.3890i | 0.937201i | ||||||||
\(429\) | −2.60162 | + | 4.33070i | −0.125608 | + | 0.209088i | ||||
\(430\) | 21.6985 | + | 12.5276i | 1.04640 | + | 0.604137i | ||||
\(431\) | −17.2979 | + | 17.2979i | −0.833209 | + | 0.833209i | −0.987954 | − | 0.154746i | \(-0.950544\pi\) |
0.154746 | + | 0.987954i | \(0.450544\pi\) | |||||||
\(432\) | 3.96937 | + | 2.29172i | 0.190977 | + | 0.110260i | ||||
\(433\) | −8.76052 | + | 15.1737i | −0.421004 | + | 0.729200i | −0.996038 | − | 0.0889293i | \(-0.971655\pi\) |
0.575034 | + | 0.818129i | \(0.304989\pi\) | |||||||
\(434\) | −25.9067 | − | 23.7543i | −1.24356 | − | 1.14024i | ||||
\(435\) | −5.59919 | − | 20.8965i | −0.268461 | − | 1.00191i | ||||
\(436\) | 51.0501 | + | 51.0501i | 2.44486 | + | 2.44486i | ||||
\(437\) | 4.07647 | + | 15.2136i | 0.195004 | + | 0.727764i | ||||
\(438\) | −10.3521 | − | 17.9303i | −0.494642 | − | 0.856745i | ||||
\(439\) | 9.94646 | − | 17.2278i | 0.474719 | − | 0.822237i | −0.524862 | − | 0.851187i | \(-0.675883\pi\) |
0.999581 | + | 0.0289504i | \(0.00921649\pi\) | |||||||
\(440\) | −20.1943 | − | 5.41104i | −0.962724 | − | 0.257961i | ||||
\(441\) | −5.73661 | + | 4.01139i | −0.273172 | + | 0.191019i | ||||
\(442\) | −34.6409 | + | 57.6636i | −1.64770 | + | 2.74278i | ||||
\(443\) | 7.68921 | + | 13.3181i | 0.365325 | + | 0.632762i | 0.988828 | − | 0.149059i | \(-0.0476245\pi\) |
−0.623503 | + | 0.781821i | \(0.714291\pi\) | |||||||
\(444\) | −6.62347 | − | 6.62347i | −0.314336 | − | 0.314336i | ||||
\(445\) | 7.42142 | 0.351809 | ||||||||
\(446\) | 22.7796 | 1.07864 | ||||||||
\(447\) | 9.10487 | + | 9.10487i | 0.430645 | + | 0.430645i | ||||
\(448\) | 5.38652 | + | 17.1028i | 0.254489 | + | 0.808032i | ||||
\(449\) | −3.38883 | + | 0.908034i | −0.159929 | + | 0.0428528i | −0.337895 | − | 0.941184i | \(-0.609715\pi\) |
0.177966 | + | 0.984037i | \(0.443048\pi\) | |||||||
\(450\) | 2.11860 | − | 7.90673i | 0.0998719 | − | 0.372727i | ||||
\(451\) | −11.1892 | + | 6.46006i | −0.526877 | + | 0.304192i | ||||
\(452\) | − | 56.2292i | − | 2.64480i | ||||||
\(453\) | 0.904012 | + | 3.37382i | 0.0424742 | + | 0.158516i | ||||
\(454\) | 14.5156 | 0.681252 | ||||||||
\(455\) | 7.80673 | + | 26.3773i | 0.365985 | + | 1.23659i | ||||
\(456\) | −35.7738 | −1.67526 | ||||||||
\(457\) | −7.89373 | − | 29.4598i | −0.369253 | − | 1.37807i | −0.861563 | − | 0.507651i | \(-0.830514\pi\) |
0.492310 | − | 0.870420i | \(-0.336153\pi\) | |||||||
\(458\) | − | 5.38736i | − | 0.251735i | ||||||
\(459\) | −6.54425 | + | 3.77833i | −0.305460 | + | 0.176357i | ||||
\(460\) | −6.96362 | + | 25.9886i | −0.324680 | + | 1.21172i | ||||
\(461\) | 19.6958 | − | 5.27746i | 0.917323 | − | 0.245796i | 0.230882 | − | 0.972982i | \(-0.425839\pi\) |
0.686441 | + | 0.727186i | \(0.259172\pi\) | |||||||
\(462\) | 8.93531 | + | 1.98389i | 0.415708 | + | 0.0922989i | ||||
\(463\) | 7.72370 | + | 7.72370i | 0.358951 | + | 0.358951i | 0.863426 | − | 0.504475i | \(-0.168314\pi\) |
−0.504475 | + | 0.863426i | \(0.668314\pi\) | |||||||
\(464\) | −34.3857 | −1.59632 | ||||||||
\(465\) | −15.5163 | −0.719553 | ||||||||
\(466\) | −21.3466 | − | 21.3466i | −0.988863 | − | 0.988863i | ||||
\(467\) | −17.0696 | − | 29.5655i | −0.789888 | − | 1.36813i | −0.926035 | − | 0.377438i | \(-0.876805\pi\) |
0.136147 | − | 0.990689i | \(-0.456528\pi\) | |||||||
\(468\) | −10.6218 | + | 10.2592i | −0.490993 | + | 0.474230i | ||||
\(469\) | 6.80872 | − | 13.0693i | 0.314398 | − | 0.603484i | ||||
\(470\) | −5.93484 | − | 1.59023i | −0.273754 | − | 0.0733521i | ||||
\(471\) | 0.142323 | − | 0.246511i | 0.00655789 | − | 0.0113586i | ||||
\(472\) | 13.9261 | + | 24.1208i | 0.641002 | + | 1.11025i | ||||
\(473\) | 1.27626 | + | 4.76306i | 0.0586824 | + | 0.219006i | ||||
\(474\) | −1.43832 | − | 1.43832i | −0.0660643 | − | 0.0660643i | ||||
\(475\) | 5.93278 | + | 22.1414i | 0.272215 | + | 1.01592i | ||||
\(476\) | 79.9390 | + | 17.7487i | 3.66400 | + | 0.813510i | ||||
\(477\) | 0.886338 | − | 1.53518i | 0.0405826 | − | 0.0702911i | ||||
\(478\) | −24.1187 | − | 13.9249i | −1.10316 | − | 0.636912i | ||||
\(479\) | −12.2833 | + | 12.2833i | −0.561240 | + | 0.561240i | −0.929659 | − | 0.368420i | \(-0.879899\pi\) |
0.368420 | + | 0.929659i | \(0.379899\pi\) | |||||||
\(480\) | −2.41705 | − | 1.39548i | −0.110323 | − | 0.0636947i | ||||
\(481\) | 7.21176 | − | 3.99838i | 0.328828 | − | 0.182310i | ||||
\(482\) | 31.7390i | 1.44567i | ||||||||
\(483\) | 1.30639 | − | 5.88392i | 0.0594430 | − | 0.267727i | ||||
\(484\) | 18.5058 | + | 32.0530i | 0.841172 | + | 1.45695i | ||||
\(485\) | − | 26.2515i | − | 1.19202i | ||||||
\(486\) | −2.38482 | + | 0.639011i | −0.108178 | + | 0.0289861i | ||||
\(487\) | −12.3178 | − | 3.30054i | −0.558171 | − | 0.149562i | −0.0313053 | − | 0.999510i | \(-0.509966\pi\) |
−0.526866 | + | 0.849948i | \(0.676633\pi\) | |||||||
\(488\) | −15.3217 | + | 15.3217i | −0.693579 | + | 0.693579i | ||||
\(489\) | 9.69311 | − | 9.69311i | 0.438337 | − | 0.438337i | ||||
\(490\) | 40.8423 | − | 28.5595i | 1.84507 | − | 1.29018i | ||||
\(491\) | −16.0173 | + | 9.24760i | −0.722851 | + | 0.417339i | −0.815801 | − | 0.578332i | \(-0.803704\pi\) |
0.0929498 | + | 0.995671i | \(0.470370\pi\) | |||||||
\(492\) | −36.4789 | + | 9.77450i | −1.64460 | + | 0.440669i | ||||
\(493\) | 28.3456 | − | 49.0961i | 1.27662 | − | 2.21118i | ||||
\(494\) | 16.9593 | − | 59.1640i | 0.763037 | − | 2.66191i | ||||
\(495\) | 3.49922 | − | 2.02027i | 0.157278 | − | 0.0908046i | ||||
\(496\) | −6.38314 | + | 23.8222i | −0.286612 | + | 1.06965i | ||||
\(497\) | 9.62489 | + | 15.1186i | 0.431735 | + | 0.678164i | ||||
\(498\) | 6.51273 | + | 3.76012i | 0.291842 | + | 0.168495i | ||||
\(499\) | −36.0336 | − | 9.65516i | −1.61308 | − | 0.432224i | −0.664124 | − | 0.747622i | \(-0.731195\pi\) |
−0.948960 | + | 0.315398i | \(0.897862\pi\) | |||||||
\(500\) | 5.14938 | − | 19.2178i | 0.230287 | − | 0.859444i | ||||
\(501\) | 2.26642 | − | 8.45838i | 0.101256 | − | 0.377893i | ||||
\(502\) | 62.5226 | + | 16.7529i | 2.79052 | + | 0.747718i | ||||
\(503\) | −12.6061 | − | 7.27816i | −0.562080 | − | 0.324517i | 0.191900 | − | 0.981415i | \(-0.438535\pi\) |
−0.753980 | + | 0.656897i | \(0.771868\pi\) | |||||||
\(504\) | 12.1409 | + | 6.32504i | 0.540798 | + | 0.281740i | ||||
\(505\) | −13.3990 | + | 50.0057i | −0.596247 | + | 2.22522i | ||||
\(506\) | −6.82507 | + | 3.94046i | −0.303411 | + | 0.175175i | ||||
\(507\) | −6.10516 | − | 11.4772i | −0.271140 | − | 0.509722i | ||||
\(508\) | 22.1396 | − | 38.3468i | 0.982284 | − | 1.70137i | ||||
\(509\) | 0.521178 | − | 0.139649i | 0.0231008 | − | 0.00618984i | −0.247250 | − | 0.968952i | \(-0.579527\pi\) |
0.270351 | + | 0.962762i | \(0.412860\pi\) | |||||||
\(510\) | 46.5924 | − | 26.9001i | 2.06315 | − | 1.19116i | ||||
\(511\) | −11.9150 | − | 18.7160i | −0.527089 | − | 0.827945i | ||||
\(512\) | 30.4022 | − | 30.4022i | 1.34360 | − | 1.34360i | ||||
\(513\) | 4.88884 | − | 4.88884i | 0.215848 | − | 0.215848i | ||||
\(514\) | −15.3431 | − | 4.11117i | −0.676755 | − | 0.181336i | ||||
\(515\) | 17.0592 | − | 4.57100i | 0.751718 | − | 0.201422i | ||||
\(516\) | 14.4137i | 0.634526i | ||||||||
\(517\) | −0.604614 | − | 1.04722i | −0.0265909 | − | 0.0460567i | ||||
\(518\) | −11.0113 | − | 10.0964i | −0.483807 | − | 0.443610i | ||||
\(519\) | 10.8426i | 0.475935i | ||||||||
\(520\) | 38.6950 | − | 37.3740i | 1.69689 | − | 1.63896i | ||||
\(521\) | −30.2442 | − | 17.4615i | −1.32502 | − | 0.765003i | −0.340499 | − | 0.940245i | \(-0.610596\pi\) |
−0.984525 | + | 0.175242i | \(0.943929\pi\) | |||||||
\(522\) | 13.0974 | − | 13.0974i | 0.573256 | − | 0.573256i | ||||
\(523\) | −18.2352 | − | 10.5281i | −0.797371 | − | 0.460362i | 0.0451800 | − | 0.998979i | \(-0.485614\pi\) |
−0.842551 | + | 0.538616i | \(0.818947\pi\) | |||||||
\(524\) | −37.2507 | + | 64.5201i | −1.62730 | + | 2.81857i | ||||
\(525\) | 1.90129 | − | 8.56330i | 0.0829791 | − | 0.373733i | ||||
\(526\) | −9.59297 | − | 35.8014i | −0.418273 | − | 1.56102i | ||||
\(527\) | −28.7516 | − | 28.7516i | −1.25244 | − | 1.25244i | ||||
\(528\) | −1.66221 | − | 6.20344i | −0.0723383 | − | 0.269970i | ||||
\(529\) | −8.90520 | − | 15.4243i | −0.387183 | − | 0.670620i | ||||
\(530\) | −6.31036 | + | 10.9299i | −0.274104 | + | 0.474763i | ||||
\(531\) | −5.19948 | − | 1.39320i | −0.225638 | − | 0.0604596i | ||||
\(532\) | −74.8500 | + | 3.24420i | −3.24516 | + | 0.140654i | ||||
\(533\) | 0.577279 | − | 33.2411i | 0.0250047 | − | 1.43983i | ||||
\(534\) | 3.17707 | + | 5.50285i | 0.137485 | + | 0.238131i | ||||
\(535\) | 9.65279 | + | 9.65279i | 0.417326 | + | 0.417326i | ||||
\(536\) | −28.8198 | −1.24482 | ||||||||
\(537\) | 8.17300 | 0.352691 | ||||||||
\(538\) | 38.7029 | + | 38.7029i | 1.66860 | + | 1.66860i | ||||
\(539\) | 9.65825 | + | 1.70934i | 0.416010 | + | 0.0736264i | ||||
\(540\) | 11.4082 | − | 3.05681i | 0.490929 | − | 0.131544i | ||||
\(541\) | 8.30427 | − | 30.9919i | 0.357028 | − | 1.33245i | −0.520884 | − | 0.853627i | \(-0.674398\pi\) |
0.877913 | − | 0.478821i | \(-0.158936\pi\) | |||||||
\(542\) | 45.0603 | − | 26.0156i | 1.93550 | − | 1.11746i | ||||
\(543\) | 4.10394i | 0.176117i | ||||||||
\(544\) | −1.89294 | − | 7.06456i | −0.0811592 | − | 0.302890i | ||||
\(545\) | 50.8305 | 2.17734 | ||||||||
\(546\) | −16.2162 | + | 17.0805i | −0.693991 | + | 0.730978i | ||||
\(547\) | 12.5039 | 0.534630 | 0.267315 | − | 0.963609i | \(-0.413864\pi\) | ||||
0.267315 | + | 0.963609i | \(0.413864\pi\) | |||||||
\(548\) | −10.3242 | − | 38.5304i | −0.441027 | − | 1.64594i | ||||
\(549\) | − | 4.18771i | − | 0.178727i | ||||||
\(550\) | −9.93303 | + | 5.73484i | −0.423546 | + | 0.244534i | ||||
\(551\) | −13.4247 | + | 50.1016i | −0.571911 | + | 2.13440i | ||||
\(552\) | −11.3856 | + | 3.05075i | −0.484602 | + | 0.129849i | ||||
\(553\) | −1.60662 | − | 1.47313i | −0.0683203 | − | 0.0626439i | ||||
\(554\) | −17.2279 | − | 17.2279i | −0.731944 | − | 0.731944i | ||||
\(555\) | −6.59499 | −0.279942 | ||||||||
\(556\) | −64.3911 | −2.73079 | ||||||||
\(557\) | 22.2599 | + | 22.2599i | 0.943183 | + | 0.943183i | 0.998470 | − | 0.0552879i | \(-0.0176077\pi\) |
−0.0552879 | + | 0.998470i | \(0.517608\pi\) | |||||||
\(558\) | −6.64246 | − | 11.5051i | −0.281198 | − | 0.487049i | ||||
\(559\) | −12.1974 | − | 3.49639i | −0.515897 | − | 0.147882i | ||||
\(560\) | −31.0127 | − | 16.1567i | −1.31053 | − | 0.682746i | ||||
\(561\) | 10.2275 | + | 2.74046i | 0.431807 | + | 0.115702i | ||||
\(562\) | 37.3487 | − | 64.6898i | 1.57546 | − | 2.72877i | ||||
\(563\) | 1.85725 | + | 3.21684i | 0.0782736 | + | 0.135574i | 0.902505 | − | 0.430679i | \(-0.141726\pi\) |
−0.824232 | + | 0.566253i | \(0.808393\pi\) | |||||||
\(564\) | −0.914821 | − | 3.41416i | −0.0385209 | − | 0.143762i | ||||
\(565\) | −27.9937 | − | 27.9937i | −1.17770 | − | 1.17770i | ||||
\(566\) | −13.7311 | − | 51.2452i | −0.577161 | − | 2.15399i | ||||
\(567\) | −2.52355 | + | 0.794791i | −0.105979 | + | 0.0333781i | ||||
\(568\) | 17.5251 | − | 30.3544i | 0.735337 | − | 1.27364i | ||||
\(569\) | 24.9147 | + | 14.3845i | 1.04448 | + | 0.603030i | 0.921099 | − | 0.389329i | \(-0.127293\pi\) |
0.123381 | + | 0.992359i | \(0.460626\pi\) | |||||||
\(570\) | −34.8065 | + | 34.8065i | −1.45789 | + | 1.45789i | ||||
\(571\) | −38.1385 | − | 22.0193i | −1.59605 | − | 0.921478i | −0.992239 | − | 0.124348i | \(-0.960316\pi\) |
−0.603808 | − | 0.797130i | \(-0.706351\pi\) | |||||||
\(572\) | 20.6887 | + | 0.359289i | 0.865038 | + | 0.0150226i | ||||
\(573\) | 4.41878i | 0.184597i | ||||||||
\(574\) | −57.4504 | + | 18.0940i | −2.39793 | + | 0.755228i | ||||
\(575\) | 3.77640 | + | 6.54091i | 0.157487 | + | 0.272775i | ||||
\(576\) | 6.77728i | 0.282387i | ||||||||
\(577\) | 20.0715 | − | 5.37814i | 0.835587 | − | 0.223895i | 0.184437 | − | 0.982844i | \(-0.440954\pi\) |
0.651149 | + | 0.758950i | \(0.274287\pi\) | |||||||
\(578\) | 95.6385 | + | 25.6263i | 3.97804 | + | 1.06591i | ||||
\(579\) | −7.97873 | + | 7.97873i | −0.331585 | + | 0.331585i | ||||
\(580\) | −62.6533 | + | 62.6533i | −2.60154 | + | 2.60154i | ||||
\(581\) | 7.14704 | + | 3.72340i | 0.296509 | + | 0.154473i | ||||
\(582\) | 19.4650 | − | 11.2381i | 0.806849 | − | 0.465835i | ||||
\(583\) | −2.39922 | + | 0.642870i | −0.0993657 | + | 0.0266250i | ||||
\(584\) | −21.6950 | + | 37.5769i | −0.897746 | + | 1.55494i | ||||
\(585\) | −0.180534 | + | 10.3956i | −0.00746417 | + | 0.429804i | ||||
\(586\) | 2.14711 | − | 1.23963i | 0.0886962 | − | 0.0512088i | ||||
\(587\) | 11.1326 | − | 41.5473i | 0.459491 | − | 1.71484i | −0.215049 | − | 0.976603i | \(-0.568991\pi\) |
0.674540 | − | 0.738239i | \(-0.264342\pi\) | |||||||
\(588\) | 25.9761 | + | 12.1330i | 1.07124 | + | 0.500355i | ||||
\(589\) | 32.2180 | + | 18.6011i | 1.32752 | + | 0.766444i | ||||
\(590\) | 37.0182 | + | 9.91899i | 1.52401 | + | 0.408358i | ||||
\(591\) | 1.24929 | − | 4.66242i | 0.0513890 | − | 0.191786i | ||||
\(592\) | −2.71306 | + | 10.1253i | −0.111506 | + | 0.416146i | ||||
\(593\) | −1.71884 | − | 0.460561i | −0.0705842 | − | 0.0189130i | 0.223354 | − | 0.974737i | \(-0.428299\pi\) |
−0.293938 | + | 0.955824i | \(0.594966\pi\) | |||||||
\(594\) | 2.99599 | + | 1.72974i | 0.122927 | + | 0.0709719i | ||||
\(595\) | 48.6338 | − | 30.9614i | 1.99379 | − | 1.26929i | ||||
\(596\) | 13.6494 | − | 50.9403i | 0.559102 | − | 2.08660i | ||||
\(597\) | −9.96867 | + | 5.75542i | −0.407991 | + | 0.235553i | ||||
\(598\) | 0.352124 | − | 20.2761i | 0.0143994 | − | 0.829153i | ||||
\(599\) | 8.48260 | − | 14.6923i | 0.346590 | − | 0.600311i | −0.639052 | − | 0.769164i | \(-0.720673\pi\) |
0.985641 | + | 0.168853i | \(0.0540063\pi\) | |||||||
\(600\) | −16.5702 | + | 4.43998i | −0.676477 | + | 0.181262i | ||||
\(601\) | −30.5871 | + | 17.6595i | −1.24767 | + | 0.720345i | −0.970645 | − | 0.240517i | \(-0.922683\pi\) |
−0.277029 | + | 0.960862i | \(0.589350\pi\) | |||||||
\(602\) | 0.995438 | + | 22.9667i | 0.0405710 | + | 0.936052i | ||||
\(603\) | 3.93850 | − | 3.93850i | 0.160388 | − | 0.160388i | ||||
\(604\) | 10.1156 | − | 10.1156i | 0.411599 | − | 0.411599i | ||||
\(605\) | 25.1706 | + | 6.74445i | 1.02333 | + | 0.274201i | ||||
\(606\) | −42.8143 | + | 11.4721i | −1.73921 | + | 0.466021i | ||||
\(607\) | 20.2834i | 0.823279i | 0.911347 | + | 0.411639i | \(0.135044\pi\) | ||||
−0.911347 | + | 0.411639i | \(0.864956\pi\) | |||||||
\(608\) | 3.34582 | + | 5.79513i | 0.135691 | + | 0.235024i | ||||
\(609\) | 13.4143 | − | 14.6299i | 0.543577 | − | 0.592832i | ||||
\(610\) | 29.8148i | 1.20717i | ||||||||
\(611\) | 3.11112 | + | 0.0540290i | 0.125862 | + | 0.00218578i | ||||
\(612\) | 26.8034 | + | 15.4749i | 1.08346 | + | 0.625537i | ||||
\(613\) | −17.5571 | + | 17.5571i | −0.709123 | + | 0.709123i | −0.966351 | − | 0.257228i | \(-0.917191\pi\) |
0.257228 | + | 0.966351i | \(0.417191\pi\) | |||||||
\(614\) | −14.7004 | − | 8.48727i | −0.593259 | − | 0.342518i | ||||
\(615\) | −13.2948 | + | 23.0273i | −0.536098 | + | 0.928548i | ||||
\(616\) | −5.76228 | − | 18.2959i | −0.232169 | − | 0.737163i | ||||
\(617\) | 7.80877 | + | 29.1427i | 0.314369 | + | 1.17324i | 0.924575 | + | 0.380999i | \(0.124420\pi\) |
−0.610206 | + | 0.792243i | \(0.708913\pi\) | |||||||
\(618\) | 10.6923 | + | 10.6923i | 0.430106 | + | 0.430106i | ||||
\(619\) | −10.4480 | − | 38.9926i | −0.419942 | − | 1.56724i | −0.774727 | − | 0.632296i | \(-0.782113\pi\) |
0.354785 | − | 0.934948i | \(-0.384554\pi\) | |||||||
\(620\) | 31.7753 | + | 55.0364i | 1.27612 | + | 2.21031i | ||||
\(621\) | 1.13903 | − | 1.97286i | 0.0457078 | − | 0.0791683i | ||||
\(622\) | 32.7024 | + | 8.76259i | 1.31125 | + | 0.351348i | ||||
\(623\) | 3.65674 | + | 5.74395i | 0.146504 | + | 0.230127i | ||||
\(624\) | 15.8860 | + | 4.55373i | 0.635951 | + | 0.182295i | ||||
\(625\) | −15.2925 | − | 26.4874i | −0.611701 | − | 1.05950i | ||||
\(626\) | 59.4708 | + | 59.4708i | 2.37693 | + | 2.37693i | ||||
\(627\) | −9.68766 | −0.386888 | ||||||||
\(628\) | −1.16583 | −0.0465216 | ||||||||
\(629\) | −12.2204 | − | 12.2204i | −0.487260 | − | 0.487260i | ||||
\(630\) | 17.9666 | − | 5.65859i | 0.715808 | − | 0.225443i | ||||
\(631\) | 11.8790 | − | 3.18298i | 0.472897 | − | 0.126712i | −0.0144963 | − | 0.999895i | \(-0.504614\pi\) |
0.487393 | + | 0.873183i | \(0.337948\pi\) | |||||||
\(632\) | −1.10331 | + | 4.11762i | −0.0438875 | + | 0.163790i | ||||
\(633\) | −3.40797 | + | 1.96759i | −0.135454 | + | 0.0782047i | ||||
\(634\) | − | 24.0662i | − | 0.955789i | ||||||
\(635\) | −8.06879 | − | 30.1131i | −0.320200 | − | 1.19500i | ||||
\(636\) | −7.26037 | −0.287892 | ||||||||
\(637\) | −16.5686 | + | 19.0390i | −0.656472 | + | 0.754351i | ||||
\(638\) | −25.9535 | −1.02751 | ||||||||
\(639\) | 1.75325 | + | 6.54321i | 0.0693574 | + | 0.258845i | ||||
\(640\) | − | 53.8334i | − | 2.12795i | ||||||
\(641\) | −9.51493 | + | 5.49345i | −0.375817 | + | 0.216978i | −0.675997 | − | 0.736905i | \(-0.736287\pi\) |
0.300180 | + | 0.953883i | \(0.402953\pi\) | |||||||
\(642\) | −3.02506 | + | 11.2897i | −0.119389 | + | 0.445568i | ||||
\(643\) | 5.20127 | − | 1.39368i | 0.205118 | − | 0.0549612i | −0.154797 | − | 0.987946i | \(-0.549472\pi\) |
0.359915 | + | 0.932985i | \(0.382806\pi\) | |||||||
\(644\) | −23.5455 | + | 7.41565i | −0.927823 | + | 0.292217i | ||||
\(645\) | 7.17583 | + | 7.17583i | 0.282548 | + | 0.282548i | ||||
\(646\) | −128.992 | −5.07512 | ||||||||
\(647\) | −38.3238 | −1.50667 | −0.753333 | − | 0.657639i | \(-0.771555\pi\) | ||||
−0.753333 | + | 0.657639i | \(0.771555\pi\) | |||||||
\(648\) | 3.65872 | + | 3.65872i | 0.143728 | + | 0.143728i | ||||
\(649\) | 3.77124 | + | 6.53198i | 0.148034 | + | 0.256402i | ||||
\(650\) | 0.512472 | − | 29.5093i | 0.0201008 | − | 1.15745i | ||||
\(651\) | −7.64532 | − | 12.0092i | −0.299644 | − | 0.470677i | ||||
\(652\) | −54.2315 | − | 14.5313i | −2.12387 | − | 0.569089i | ||||
\(653\) | −3.87397 | + | 6.70991i | −0.151600 | + | 0.262579i | −0.931816 | − | 0.362931i | \(-0.881776\pi\) |
0.780216 | + | 0.625511i | \(0.215109\pi\) | |||||||
\(654\) | 21.7603 | + | 37.6899i | 0.850894 | + | 1.47379i | ||||
\(655\) | 13.5761 | + | 50.6666i | 0.530461 | + | 1.97971i | ||||
\(656\) | 29.8844 | + | 29.8844i | 1.16679 | + | 1.16679i | ||||
\(657\) | −2.17041 | − | 8.10009i | −0.0846758 | − | 0.316014i | ||||
\(658\) | −1.69346 | − | 5.37693i | −0.0660180 | − | 0.209615i | ||||
\(659\) | 1.59593 | − | 2.76423i | 0.0621686 | − | 0.107679i | −0.833266 | − | 0.552872i | \(-0.813532\pi\) |
0.895435 | + | 0.445193i | \(0.146865\pi\) | |||||||
\(660\) | −14.3318 | − | 8.27446i | −0.557864 | − | 0.322083i | ||||
\(661\) | −3.03520 | + | 3.03520i | −0.118055 | + | 0.118055i | −0.763666 | − | 0.645611i | \(-0.776603\pi\) |
0.645611 | + | 0.763666i | \(0.276603\pi\) | |||||||
\(662\) | −44.2994 | − | 25.5763i | −1.72174 | − | 0.994049i | ||||
\(663\) | −19.5974 | + | 18.9283i | −0.761099 | + | 0.735115i | ||||
\(664\) | − | 15.7603i | − | 0.611617i | ||||||
\(665\) | −35.6489 | + | 38.8792i | −1.38241 | + | 1.50767i | ||||
\(666\) | −2.82328 | − | 4.89006i | −0.109400 | − | 0.189486i | ||||
\(667\) | 17.0904i | 0.661744i | ||||||||
\(668\) | −34.6431 | + | 9.28259i | −1.34038 | + | 0.359154i | ||||
\(669\) | 8.91203 | + | 2.38797i | 0.344559 | + | 0.0923243i | ||||
\(670\) | −28.0405 | + | 28.0405i | −1.08330 | + | 1.08330i | ||||
\(671\) | −4.14915 | + | 4.14915i | −0.160176 | + | 0.160176i | ||||
\(672\) | −0.110884 | − | 2.55831i | −0.00427744 | − | 0.0986889i | ||||
\(673\) | 11.6256 | − | 6.71205i | 0.448134 | − | 0.258731i | −0.258908 | − | 0.965902i | \(-0.583362\pi\) |
0.707042 | + | 0.707172i | \(0.250029\pi\) | |||||||
\(674\) | 64.0907 | − | 17.1730i | 2.46868 | − | 0.661481i | ||||
\(675\) | 1.65772 | − | 2.87125i | 0.0638057 | − | 0.110515i | ||||
\(676\) | −28.2072 | + | 45.1587i | −1.08489 | + | 1.73687i | ||||
\(677\) | −19.3278 | + | 11.1589i | −0.742830 | + | 0.428873i | −0.823097 | − | 0.567901i | \(-0.807756\pi\) |
0.0802677 | + | 0.996773i | \(0.474422\pi\) | |||||||
\(678\) | 8.77286 | − | 32.7408i | 0.336920 | − | 1.25740i | ||||
\(679\) | 20.3178 | − | 12.9348i | 0.779726 | − | 0.496392i | ||||
\(680\) | −97.6443 | − | 56.3749i | −3.74449 | − | 2.16188i | ||||
\(681\) | 5.67894 | + | 1.52167i | 0.217617 | + | 0.0583104i | ||||
\(682\) | −4.81785 | + | 17.9805i | −0.184485 | + | 0.688507i | ||||
\(683\) | −1.88738 | + | 7.04378i | −0.0722184 | + | 0.269523i | −0.992588 | − | 0.121526i | \(-0.961221\pi\) |
0.920370 | + | 0.391049i | \(0.127888\pi\) | |||||||
\(684\) | −27.3523 | − | 7.32903i | −1.04584 | − | 0.280233i | ||||
\(685\) | −24.3222 | − | 14.0424i | −0.929305 | − | 0.536534i | ||||
\(686\) | 42.2282 | + | 17.5387i | 1.61228 | + | 0.669630i | ||||
\(687\) | 0.564755 | − | 2.10769i | 0.0215467 | − | 0.0804136i | ||||
\(688\) | 13.9690 | − | 8.06503i | 0.532565 | − | 0.307476i | ||||
\(689\) | 1.76118 | − | 6.14403i | 0.0670958 | − | 0.234069i | ||||
\(690\) | −8.10945 | + | 14.0460i | −0.308721 | + | 0.534721i | ||||
\(691\) | 10.9128 | − | 2.92407i | 0.415142 | − | 0.111237i | −0.0452016 | − | 0.998978i | \(-0.514393\pi\) |
0.460343 | + | 0.887741i | \(0.347726\pi\) | |||||||
\(692\) | 38.4584 | − | 22.2040i | 1.46197 | − | 0.844069i | ||||
\(693\) | 3.28779 | + | 1.71284i | 0.124893 | + | 0.0650655i | ||||
\(694\) | 10.7694 | − | 10.7694i | 0.408801 | − | 0.408801i | ||||
\(695\) | −32.0571 | + | 32.0571i | −1.21599 | + | 1.21599i | ||||
\(696\) | −37.4951 | − | 10.0468i | −1.42125 | − | 0.380822i | ||||
\(697\) | −67.3042 | + | 18.0341i | −2.54933 | + | 0.683090i | ||||
\(698\) | − | 53.3028i | − | 2.01754i | ||||||
\(699\) | −6.11367 | − | 10.5892i | −0.231240 | − | 0.400520i | ||||
\(700\) | −34.2675 | + | 10.7925i | −1.29519 | + | 0.407920i | ||||
\(701\) | − | 0.777837i | − | 0.0293785i | −0.999892 | − | 0.0146892i | \(-0.995324\pi\) | ||
0.999892 | − | 0.0146892i | \(-0.00467590\pi\) | |||||||
\(702\) | −7.78542 | + | 4.31643i | −0.293842 | + | 0.162913i | ||||
\(703\) | 13.6938 | + | 7.90610i | 0.516470 | + | 0.298184i | ||||
\(704\) | 6.71488 | − | 6.71488i | 0.253077 | − | 0.253077i | ||||
\(705\) | −2.15518 | − | 1.24429i | −0.0811688 | − | 0.0468628i | ||||
\(706\) | 16.3506 | − | 28.3200i | 0.615362 | − | 1.06584i | ||||
\(707\) | −45.3049 | + | 14.2688i | −1.70387 | + | 0.536632i | ||||
\(708\) | 5.70613 | + | 21.2956i | 0.214450 | + | 0.800337i | ||||
\(709\) | 1.56235 | + | 1.56235i | 0.0586752 | + | 0.0586752i | 0.735836 | − | 0.677160i | \(-0.236790\pi\) |
−0.677160 | + | 0.735836i | \(0.736790\pi\) | |||||||
\(710\) | −12.4824 | − | 46.5849i | −0.468456 | − | 1.74830i | ||||
\(711\) | −0.411935 | − | 0.713493i | −0.0154488 | − | 0.0267581i | ||||
\(712\) | 6.65823 | − | 11.5324i | 0.249528 | − | 0.432194i | ||||
\(713\) | 11.8402 | + | 3.17256i | 0.443417 | + | 0.118813i | ||||
\(714\) | 43.7772 | + | 22.8066i | 1.63832 | + | 0.853517i | ||||
\(715\) | 10.4787 | − | 10.1210i | 0.391882 | − | 0.378504i | ||||
\(716\) | −16.7371 | − | 28.9896i | −0.625496 | − | 1.08339i | ||||
\(717\) | −7.97620 | − | 7.97620i | −0.297877 | − | 0.297877i | ||||
\(718\) | 12.1908 | 0.454958 | ||||||||
\(719\) | −12.3064 | −0.458951 | −0.229476 | − | 0.973314i | \(-0.573701\pi\) | ||||
−0.229476 | + | 0.973314i | \(0.573701\pi\) | |||||||
\(720\) | −9.34585 | − | 9.34585i | −0.348299 | − | 0.348299i | ||||
\(721\) | 11.9433 | + | 10.9510i | 0.444793 | + | 0.407838i | ||||
\(722\) | 68.6866 | − | 18.4045i | 2.55625 | − | 0.684945i | ||||
\(723\) | −3.32719 | + | 12.4172i | −0.123740 | + | 0.461802i | ||||
\(724\) | 14.5566 | − | 8.40428i | 0.540993 | − | 0.312343i | ||||
\(725\) | 24.8730i | 0.923759i | ||||||||
\(726\) | 5.77453 | + | 21.5508i | 0.214313 | + | 0.799826i | ||||
\(727\) | −46.3414 | −1.71871 | −0.859353 | − | 0.511383i | \(-0.829133\pi\) | ||||
−0.859353 | + | 0.511383i | \(0.829133\pi\) | |||||||
\(728\) | 47.9924 | + | 11.5336i | 1.77872 | + | 0.427463i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 15.4524 | + | 57.6693i | 0.571920 | + | 2.13444i | ||||
\(731\) | 26.5934i | 0.983593i | ||||||||
\(732\) | −14.8538 | + | 8.57584i | −0.549012 | + | 0.316972i | ||||
\(733\) | 4.29994 | − | 16.0476i | 0.158822 | − | 0.592731i | −0.839926 | − | 0.542701i | \(-0.817402\pi\) |
0.998748 | − | 0.0500300i | \(-0.0159317\pi\) | |||||||
\(734\) | 48.8744 | − | 13.0959i | 1.80399 | − | 0.483377i | ||||
\(735\) | 18.9726 | − | 6.89181i | 0.699815 | − | 0.254208i | ||||
\(736\) | 1.55906 | + | 1.55906i | 0.0574678 | + | 0.0574678i | ||||
\(737\) | −7.80448 | −0.287482 | ||||||||
\(738\) | −22.7657 | −0.838017 | ||||||||
\(739\) | 2.49614 | + | 2.49614i | 0.0918219 | + | 0.0918219i | 0.751526 | − | 0.659704i | \(-0.229318\pi\) |
−0.659704 | + | 0.751526i | \(0.729318\pi\) | |||||||
\(740\) | 13.5056 | + | 23.3924i | 0.496475 | + | 0.859920i | ||||
\(741\) | 12.8371 | − | 21.3689i | 0.471584 | − | 0.785005i | ||||
\(742\) | −11.5687 | + | 0.501417i | −0.424699 | + | 0.0184076i | ||||
\(743\) | 42.9886 | + | 11.5188i | 1.57710 | + | 0.422583i | 0.938027 | − | 0.346563i | \(-0.112651\pi\) |
0.639073 | + | 0.769146i | \(0.279318\pi\) | |||||||
\(744\) | −13.9207 | + | 24.1114i | −0.510357 | + | 0.883965i | ||||
\(745\) | −18.5653 | − | 32.1560i | −0.680179 | − | 1.17810i | ||||
\(746\) | −14.8525 | − | 55.4301i | −0.543787 | − | 2.02944i | ||||
\(747\) | 2.15380 | + | 2.15380i | 0.0788033 | + | 0.0788033i | ||||
\(748\) | −11.2241 | − | 41.8890i | −0.410395 | − | 1.53161i | ||||
\(749\) | −2.71477 | + | 12.2271i | −0.0991955 | + | 0.446770i | ||||
\(750\) | 5.99669 | − | 10.3866i | 0.218968 | − | 0.379264i | ||||
\(751\) | 45.1124 | + | 26.0457i | 1.64618 | + | 0.950420i | 0.978573 | + | 0.205902i | \(0.0660128\pi\) |
0.667603 | + | 0.744518i | \(0.267321\pi\) | |||||||
\(752\) | −2.79696 | + | 2.79696i | −0.101995 | + | 0.101995i | ||||
\(753\) | 22.7045 | + | 13.1084i | 0.827397 | + | 0.477698i | ||||
\(754\) | 34.3911 | − | 57.2479i | 1.25245 | − | 2.08484i | ||||
\(755\) | − | 10.0721i | − | 0.366562i | ||||||
\(756\) | 7.98699 | + | 7.32339i | 0.290484 | + | 0.266349i | ||||
\(757\) | 23.5702 | + | 40.8248i | 0.856674 | + | 1.48380i | 0.875083 | + | 0.483973i | \(0.160807\pi\) |
−0.0184085 | + | 0.999831i | \(0.505860\pi\) | |||||||
\(758\) | 52.7791i | 1.91702i | ||||||||
\(759\) | −3.08324 | + | 0.826153i | −0.111915 | + | 0.0299875i | ||||
\(760\) | 99.6441 | + | 26.6995i | 3.61447 | + | 0.968494i | ||||
\(761\) | 21.3753 | − | 21.3753i | 0.774854 | − | 0.774854i | −0.204096 | − | 0.978951i | \(-0.565426\pi\) |
0.978951 | + | 0.204096i | \(0.0654256\pi\) | |||||||
\(762\) | 18.8741 | − | 18.8741i | 0.683737 | − | 0.683737i | ||||
\(763\) | 25.0456 | + | 39.3412i | 0.906711 | + | 1.42425i | ||||
\(764\) | 15.6734 | − | 9.04903i | 0.567043 | − | 0.327382i | ||||
\(765\) | 21.0482 | − | 5.63986i | 0.761001 | − | 0.203910i | ||||
\(766\) | −13.1088 | + | 22.7052i | −0.473641 | + | 0.820371i | ||||
\(767\) | −19.4054 | − | 0.337002i | −0.700688 | − | 0.0121685i | ||||
\(768\) | 28.1779 | − | 16.2685i | 1.01678 | − | 0.587039i | ||||
\(769\) | −1.17278 | + | 4.37689i | −0.0422916 | + | 0.157835i | −0.983842 | − | 0.179037i | \(-0.942702\pi\) |
0.941551 | + | 0.336871i | \(0.109369\pi\) | |||||||
\(770\) | −23.4077 | − | 12.1947i | −0.843555 | − | 0.439467i | ||||
\(771\) | −5.57169 | − | 3.21682i | −0.200660 | − | 0.115851i | ||||
\(772\) | 44.6398 | + | 11.9612i | 1.60662 | + | 0.430493i | ||||
\(773\) | 0.578937 | − | 2.16062i | 0.0208229 | − | 0.0777122i | −0.954733 | − | 0.297466i | \(-0.903859\pi\) |
0.975555 | + | 0.219753i | \(0.0705253\pi\) | |||||||
\(774\) | −2.24881 | + | 8.39268i | −0.0808319 | + | 0.301669i | ||||
\(775\) | 17.2318 | + | 4.61726i | 0.618986 | + | 0.165857i | ||||
\(776\) | −40.7930 | − | 23.5518i | −1.46438 | − | 0.845462i | ||||
\(777\) | −3.24953 | − | 5.10431i | −0.116576 | − | 0.183116i | ||||
\(778\) | −10.5781 | + | 39.4778i | −0.379242 | + | 1.41535i | ||||
\(779\) | 55.2104 | − | 31.8757i | 1.97812 | − | 1.14207i | ||||
\(780\) | 37.2427 | − | 20.6483i | 1.33350 | − | 0.739328i | ||||
\(781\) | 4.74586 | − | 8.22006i | 0.169820 | − | 0.294137i | ||||
\(782\) | −41.0537 | + | 11.0003i | −1.46808 | + | 0.393370i | ||||
\(783\) | 6.49707 | − | 3.75108i | 0.232186 | − | 0.134053i | ||||
\(784\) | −2.77600 | − | 31.9637i | −0.0991430 | − | 1.14156i | ||||
\(785\) | −0.580407 | + | 0.580407i | −0.0207156 | + | 0.0207156i | ||||
\(786\) | −31.7565 | + | 31.7565i | −1.13272 | + | 1.13272i | ||||
\(787\) | −38.0262 | − | 10.1891i | −1.35549 | − | 0.363202i | −0.493330 | − | 0.869842i | \(-0.664221\pi\) |
−0.862158 | + | 0.506640i | \(0.830887\pi\) | |||||||
\(788\) | −19.0959 | + | 5.11674i | −0.680264 | + | 0.182276i | ||||
\(789\) | − | 15.0122i | − | 0.534449i | ||||||
\(790\) | 2.93281 | + | 5.07977i | 0.104345 | + | 0.180730i | ||||
\(791\) | 7.87300 | − | 35.4595i | 0.279932 | − | 1.26079i | ||||
\(792\) | − | 7.25006i | − | 0.257620i | ||||||
\(793\) | −3.65408 | − | 14.6502i | −0.129760 | − | 0.520243i | ||||
\(794\) | 63.2516 | + | 36.5184i | 2.24472 | + | 1.29599i | ||||
\(795\) | −3.61457 | + | 3.61457i | −0.128196 | + | 0.128196i | ||||
\(796\) | 40.8288 | + | 23.5725i | 1.44714 | + | 0.835506i | ||||
\(797\) | 8.77705 | − | 15.2023i | 0.310899 | − | 0.538493i | −0.667658 | − | 0.744468i | \(-0.732703\pi\) |
0.978557 | + | 0.205975i | \(0.0660366\pi\) | |||||||
\(798\) | −44.0893 | − | 9.78906i | −1.56074 | − | 0.346529i | ||||
\(799\) | −1.68786 | − | 6.29917i | −0.0597121 | − | 0.222849i | ||||
\(800\) | 2.26902 | + | 2.26902i | 0.0802218 | + | 0.0802218i | ||||
\(801\) | 0.666102 | + | 2.48593i | 0.0235356 | + | 0.0878359i | ||||
\(802\) | 12.5130 | + | 21.6731i | 0.441848 | + | 0.765304i | ||||
\(803\) | −5.87508 | + | 10.1759i | −0.207327 | + | 0.359101i | ||||
\(804\) | −22.0353 | − | 5.90435i | −0.777126 | − | 0.208230i | ||||
\(805\) | −8.03024 | + | 15.4140i | −0.283029 | + | 0.543272i | ||||
\(806\) | −33.2768 | − | 34.4531i | −1.17213 | − | 1.21356i | ||||
\(807\) | 11.0845 | + | 19.1989i | 0.390193 | + | 0.675834i | ||||
\(808\) | 65.6844 | + | 65.6844i | 2.31077 | + | 2.31077i | ||||
\(809\) | 7.52320 | 0.264502 | 0.132251 | − | 0.991216i | \(-0.457780\pi\) | ||||
0.132251 | + | 0.991216i | \(0.457780\pi\) | |||||||
\(810\) | 7.11959 | 0.250157 | ||||||||
\(811\) | −39.4597 | − | 39.4597i | −1.38562 | − | 1.38562i | −0.834289 | − | 0.551327i | \(-0.814122\pi\) |
−0.551327 | − | 0.834289i | \(-0.685878\pi\) | |||||||
\(812\) | −79.3626 | − | 17.6207i | −2.78508 | − | 0.618366i | ||||
\(813\) | 20.3561 | − | 5.45440i | 0.713920 | − | 0.191294i | ||||
\(814\) | −2.04775 | + | 7.64232i | −0.0717737 | + | 0.267863i | ||||
\(815\) | −34.2335 | + | 19.7647i | −1.19915 | + | 0.692328i | ||||
\(816\) | − | 34.6354i | − | 1.21248i | ||||||
\(817\) | −6.29741 | − | 23.5023i | −0.220318 | − | 0.822240i | ||||
\(818\) | −7.20013 | −0.251747 | ||||||||
\(819\) | −8.13481 | + | 4.98246i | −0.284253 | + | 0.174101i | ||||
\(820\) | 108.903 | 3.80307 | ||||||||
\(821\) | 3.78554 | + | 14.1278i | 0.132116 | + | 0.493064i | 0.999993 | − | 0.00371513i | \(-0.00118256\pi\) |
−0.867877 | + | 0.496779i | \(0.834516\pi\) | |||||||
\(822\) | − | 24.0460i | − | 0.838700i | ||||||
\(823\) | 5.36076 | − | 3.09504i | 0.186864 | − | 0.107886i | −0.403649 | − | 0.914914i | \(-0.632258\pi\) |
0.590514 | + | 0.807027i | \(0.298925\pi\) | |||||||
\(824\) | 8.20186 | − | 30.6098i | 0.285725 | − | 1.06634i | ||||
\(825\) | −4.48727 | + | 1.20236i | −0.156227 | + | 0.0418608i | ||||
\(826\) | 10.5629 | + | 33.5383i | 0.367529 | + | 1.16695i | ||||
\(827\) | −17.1035 | − | 17.1035i | −0.594748 | − | 0.594748i | 0.344162 | − | 0.938910i | \(-0.388163\pi\) |
−0.938910 | + | 0.344162i | \(0.888163\pi\) | |||||||
\(828\) | −9.33031 | −0.324251 | ||||||||
\(829\) | 29.6970 | 1.03142 | 0.515710 | − | 0.856763i | \(-0.327528\pi\) | ||||
0.515710 | + | 0.856763i | \(0.327528\pi\) | |||||||
\(830\) | −15.3342 | − | 15.3342i | −0.532256 | − | 0.532256i | ||||
\(831\) | −4.93407 | − | 8.54607i | −0.171161 | − | 0.296460i | ||||
\(832\) | 5.91367 | + | 23.7095i | 0.205019 | + | 0.821978i | ||||
\(833\) | 47.9264 | + | 22.3855i | 1.66055 | + | 0.775612i | ||||
\(834\) | −37.4932 | − | 10.0463i | −1.29828 | − | 0.347874i | ||||
\(835\) | −12.6257 | + | 21.8684i | −0.436931 | + | 0.756787i | ||||
\(836\) | 19.8389 | + | 34.3620i | 0.686144 | + | 1.18844i | ||||
\(837\) | −1.39265 | − | 5.19745i | −0.0481372 | − | 0.179650i | ||||
\(838\) | 18.1055 | + | 18.1055i | 0.625446 | + | 0.625446i | ||||
\(839\) | 10.2057 | + | 38.0883i | 0.352341 | + | 1.31496i | 0.883797 | + | 0.467870i | \(0.154978\pi\) |
−0.531456 | + | 0.847086i | \(0.678355\pi\) | |||||||
\(840\) | −29.0965 | − | 26.6790i | −1.00392 | − | 0.920513i | ||||
\(841\) | −13.6412 | + | 23.6273i | −0.470388 | + | 0.814735i | ||||
\(842\) | −80.8476 | − | 46.6774i | −2.78619 | − | 1.60861i | ||||
\(843\) | 21.3933 | − | 21.3933i | 0.736824 | − | 0.736824i | ||||
\(844\) | 13.9580 | + | 8.05868i | 0.480456 | + | 0.277391i | ||||
\(845\) | 8.43932 | + | 36.5252i | 0.290321 | + | 1.25650i | ||||
\(846\) | − | 2.13070i | − | 0.0732550i | ||||||
\(847\) | 7.18226 | + | 22.8045i | 0.246785 | + | 0.783571i | ||||
\(848\) | 4.06247 | + | 7.03641i | 0.139506 | + | 0.241631i | ||||
\(849\) | − | 21.4880i | − | 0.737468i | ||||||
\(850\) | −59.7484 | + | 16.0095i | −2.04935 | + | 0.549123i | ||||
\(851\) | 5.03248 | + | 1.34845i | 0.172511 | + | 0.0462242i | ||||
\(852\) | 19.6183 | − | 19.6183i | 0.672112 | − | 0.672112i | ||||
\(853\) | 14.6711 | − | 14.6711i | 0.502329 | − | 0.502329i | −0.409832 | − | 0.912161i | \(-0.634413\pi\) |
0.912161 | + | 0.409832i | \(0.134413\pi\) | |||||||
\(854\) | −23.0757 | + | 14.6906i | −0.789635 | + | 0.502700i | ||||
\(855\) | −17.2661 | + | 9.96859i | −0.590488 | + | 0.340918i | ||||
\(856\) | 23.6599 | − | 6.33965i | 0.808679 | − | 0.216685i | ||||
\(857\) | −4.44642 | + | 7.70143i | −0.151887 | + | 0.263076i | −0.931921 | − | 0.362661i | \(-0.881868\pi\) |
0.780034 | + | 0.625737i | \(0.215202\pi\) | |||||||
\(858\) | 11.9904 | + | 3.43705i | 0.409346 | + | 0.117339i | ||||
\(859\) | −17.8913 | + | 10.3296i | −0.610445 | + | 0.352440i | −0.773139 | − | 0.634236i | \(-0.781315\pi\) |
0.162695 | + | 0.986676i | \(0.447981\pi\) | |||||||
\(860\) | 10.7575 | − | 40.1477i | 0.366829 | − | 1.36902i | ||||
\(861\) | −24.3731 | + | 1.05639i | −0.830632 | + | 0.0360018i | ||||
\(862\) | 52.3059 | + | 30.1988i | 1.78154 | + | 1.02858i | ||||
\(863\) | −11.7025 | − | 3.13567i | −0.398358 | − | 0.106740i | 0.0540779 | − | 0.998537i | \(-0.482778\pi\) |
−0.452435 | + | 0.891797i | \(0.649445\pi\) | |||||||
\(864\) | 0.250500 | − | 0.934879i | 0.00852218 | − | 0.0318052i | ||||
\(865\) | 8.09227 | − | 30.2008i | 0.275145 | − | 1.02686i | ||||
\(866\) | 41.7846 | + | 11.1961i | 1.41990 | + | 0.380461i | ||||
\(867\) | 34.7302 | + | 20.0515i | 1.17950 | + | 0.680985i | ||||
\(868\) | −26.9399 | + | 51.7110i | −0.914400 | + | 1.75518i | ||||
\(869\) | −0.298781 | + | 1.11507i | −0.0101354 | + | 0.0378260i | ||||
\(870\) | −46.2564 | + | 26.7062i | −1.56824 | + | 0.905424i | ||||
\(871\) | 10.3417 | − | 17.2150i | 0.350416 | − | 0.583307i | ||||
\(872\) | 45.6033 | − | 78.9872i | 1.54432 | − | 2.67484i | ||||
\(873\) | 8.79336 | − | 2.35617i | 0.297610 | − | 0.0797444i | ||||
\(874\) | 33.6768 | − | 19.4433i | 1.13913 | − | 0.657679i | ||||
\(875\) | 5.93812 | − | 11.3982i | 0.200745 | − | 0.385329i | ||||
\(876\) | −24.2862 | + | 24.2862i | −0.820556 | + | 0.820556i | ||||
\(877\) | 2.72331 | − | 2.72331i | 0.0919597 | − | 0.0919597i | −0.659630 | − | 0.751590i | \(-0.729287\pi\) |
0.751590 | + | 0.659630i | \(0.229287\pi\) | |||||||
\(878\) | −47.4411 | − | 12.7118i | −1.60106 | − | 0.429002i | ||||
\(879\) | 0.969962 | − | 0.259901i | 0.0327160 | − | 0.00876623i | ||||
\(880\) | 18.5196i | 0.624296i | ||||||||
\(881\) | 11.7705 | + | 20.3872i | 0.396559 | + | 0.686861i | 0.993299 | − | 0.115574i | \(-0.0368707\pi\) |
−0.596739 | + | 0.802435i | \(0.703537\pi\) | |||||||
\(882\) | 13.2322 | + | 11.1175i | 0.445552 | + | 0.374345i | ||||
\(883\) | 27.7063i | 0.932390i | 0.884682 | + | 0.466195i | \(0.154375\pi\) | ||||
−0.884682 | + | 0.466195i | \(0.845625\pi\) | |||||||
\(884\) | 107.271 | + | 30.7492i | 3.60792 | + | 1.03421i | ||||
\(885\) | 13.4428 | + | 7.76120i | 0.451874 | + | 0.260890i | ||||
\(886\) | 26.8478 | − | 26.8478i | 0.901970 | − | 0.901970i | ||||
\(887\) | 23.9756 | + | 13.8423i | 0.805023 | + | 0.464780i | 0.845225 | − | 0.534411i | \(-0.179467\pi\) |
−0.0402013 | + | 0.999192i | \(0.512800\pi\) | |||||||
\(888\) | −5.91678 | + | 10.2482i | −0.198554 | + | 0.343906i | ||||
\(889\) | 19.3309 | − | 21.0825i | 0.648338 | − | 0.707086i | ||||
\(890\) | −4.74237 | − | 17.6988i | −0.158965 | − | 0.593264i | ||||
\(891\) | 0.990792 | + | 0.990792i | 0.0331928 | + | 0.0331928i | ||||
\(892\) | −9.78045 | − | 36.5011i | −0.327474 | − | 1.22215i | ||||
\(893\) | 2.98333 | + | 5.16728i | 0.0998333 | + | 0.172916i | ||||
\(894\) | 15.8954 | − | 27.5316i | 0.531621 | − | 0.920795i | ||||
\(895\) | −22.7650 | − | 6.09987i | −0.760950 | − | 0.203896i | ||||
\(896\) | 41.6654 | − | 26.5252i | 1.39194 | − | 0.886143i | ||||
\(897\) | 2.26330 | − | 7.89571i | 0.0755694 | − | 0.263630i | ||||
\(898\) | 4.33100 | + | 7.50151i | 0.144527 | + | 0.250329i | ||||
\(899\) | 28.5442 | + | 28.5442i | 0.952004 | + | 0.952004i | ||||
\(900\) | −13.5791 | −0.452636 | ||||||||
\(901\) | −13.3955 | −0.446269 | ||||||||
\(902\) | 22.5561 | + | 22.5561i | 0.751036 | + | 0.751036i | ||||
\(903\) | −2.01814 | + | 9.08960i | −0.0671596 | + | 0.302483i | ||||
\(904\) | −68.6152 | + | 18.3854i | −2.28211 | + | 0.611489i | ||||
\(905\) | 3.06295 | − | 11.4311i | 0.101816 | − | 0.379982i | ||||
\(906\) | 7.46828 | − | 4.31182i | 0.248117 | − | 0.143250i | ||||
\(907\) | − | 12.2311i | − | 0.406127i | −0.979166 | − | 0.203063i | \(-0.934910\pi\) | ||
0.979166 | − | 0.203063i | \(-0.0650897\pi\) | |||||||
\(908\) | −6.23231 | − | 23.2593i | −0.206827 | − | 0.771887i | ||||
\(909\) | −17.9528 | −0.595458 | ||||||||
\(910\) | 57.9165 | − | 35.4730i | 1.91991 | − | 1.17592i | ||||
\(911\) | 1.08514 | 0.0359525 | 0.0179762 | − | 0.999838i | \(-0.494278\pi\) | ||||
0.0179762 | + | 0.999838i | \(0.494278\pi\) | |||||||
\(912\) | 8.20179 | + | 30.6095i | 0.271588 | + | 1.01358i | ||||
\(913\) | − | 4.26793i | − | 0.141248i | ||||||
\(914\) | −65.2122 | + | 37.6503i | −2.15703 | + | 1.24536i | ||||
\(915\) | −3.12547 | + | 11.6644i | −0.103325 | + | 0.385614i | ||||
\(916\) | −8.63251 | + | 2.31307i | −0.285226 | + | 0.0764261i | ||||
\(917\) | −32.5250 | + | 35.4722i | −1.07407 | + | 1.17140i | ||||
\(918\) | 13.1925 | + | 13.1925i | 0.435417 | + | 0.435417i | ||||
\(919\) | −44.7066 | −1.47474 | −0.737368 | − | 0.675491i | \(-0.763932\pi\) | ||||
−0.737368 | + | 0.675491i | \(0.763932\pi\) | |||||||
\(920\) | 33.9902 | 1.12062 | ||||||||
\(921\) | −4.86151 | − | 4.86151i | −0.160192 | − | 0.160192i | ||||
\(922\) | −25.1716 | − | 43.5985i | −0.828983 | − | 1.43584i | ||||
\(923\) | 11.8429 | + | 21.3607i | 0.389815 | + | 0.703098i | ||||
\(924\) | −0.657483 | − | 15.1694i | −0.0216296 | − | 0.499037i | ||||
\(925\) | 7.32413 | + | 1.96250i | 0.240816 | + | 0.0645265i | ||||
\(926\) | 13.4841 | − | 23.3552i | 0.443116 | − | 0.767499i | ||||
\(927\) | 3.06226 | + | 5.30399i | 0.100578 | + | 0.174206i | ||||
\(928\) | 1.87929 | + | 7.01362i | 0.0616908 | + | 0.230233i | ||||
\(929\) | −12.9874 | − | 12.9874i | −0.426102 | − | 0.426102i | 0.461196 | − | 0.887298i | \(-0.347420\pi\) |
−0.887298 | + | 0.461196i | \(0.847420\pi\) | |||||||
\(930\) | 9.91512 | + | 37.0037i | 0.325130 | + | 1.21340i | ||||
\(931\) | −47.6565 | − | 8.43434i | −1.56188 | − | 0.276424i | ||||
\(932\) | −25.0398 | + | 43.3703i | −0.820207 | + | 1.42064i | ||||
\(933\) | 11.8756 | + | 6.85636i | 0.388789 | + | 0.224467i | ||||
\(934\) | −59.6007 | + | 59.6007i | −1.95019 | + | 1.95019i | ||||
\(935\) | −26.4424 | − | 15.2665i | −0.864758 | − | 0.499268i | ||||
\(936\) | 15.9921 | + | 9.60707i | 0.522717 | + | 0.314017i | ||||
\(937\) | − | 36.6713i | − | 1.19800i | −0.800749 | − | 0.598999i | \(-0.795565\pi\) | ||
0.800749 | − | 0.598999i | \(-0.204435\pi\) | |||||||
\(938\) | −35.5188 | − | 7.88617i | −1.15973 | − | 0.257493i | ||||
\(939\) | 17.0324 | + | 29.5010i | 0.555833 | + | 0.962730i | ||||
\(940\) | 10.1925i | 0.332444i | ||||||||
\(941\) | −2.10032 | + | 0.562780i | −0.0684686 | + | 0.0183461i | −0.292891 | − | 0.956146i | \(-0.594617\pi\) |
0.224422 | + | 0.974492i | \(0.427951\pi\) | |||||||
\(942\) | −0.678830 | − | 0.181892i | −0.0221175 | − | 0.00592636i | ||||
\(943\) | 14.8532 | − | 14.8532i | 0.483687 | − | 0.483687i | ||||
\(944\) | 17.4459 | − | 17.4459i | 0.567815 | − | 0.567815i | ||||
\(945\) | 7.62227 | − | 0.330370i | 0.247952 | − | 0.0107469i | ||||
\(946\) | 10.5435 | − | 6.08730i | 0.342799 | − | 0.197915i | ||||
\(947\) | −32.3492 | + | 8.66795i | −1.05121 | + | 0.281671i | −0.742751 | − | 0.669567i | \(-0.766480\pi\) |
−0.308458 | + | 0.951238i | \(0.599813\pi\) | |||||||
\(948\) | −1.68717 | + | 2.92226i | −0.0547967 | + | 0.0949106i | ||||
\(949\) | −14.6608 | − | 26.4433i | −0.475910 | − | 0.858385i | ||||
\(950\) | 49.0123 | − | 28.2973i | 1.59017 | − | 0.918084i | ||||
\(951\) | 2.52285 | − | 9.41539i | 0.0818089 | − | 0.305315i | ||||
\(952\) | −4.47951 | − | 103.351i | −0.145182 | − | 3.34963i | ||||
\(953\) | −23.8594 | − | 13.7752i | −0.772881 | − | 0.446223i | 0.0610206 | − | 0.998137i | \(-0.480564\pi\) |
−0.833901 | + | 0.551914i | \(0.813898\pi\) | |||||||
\(954\) | −4.22752 | − | 1.13276i | −0.136871 | − | 0.0366744i | ||||
\(955\) | 3.29793 | − | 12.3080i | 0.106718 | − | 0.398279i | ||||
\(956\) | −11.9574 | + | 44.6256i | −0.386730 | + | 1.44330i | ||||
\(957\) | −10.1538 | − | 2.72070i | −0.328225 | − | 0.0879477i | ||||
\(958\) | 37.1427 | + | 21.4444i | 1.20003 | + | 0.692836i | ||||
\(959\) | −1.11580 | − | 25.7437i | −0.0360312 | − | 0.831309i | ||||
\(960\) | 5.05818 | − | 18.8774i | 0.163252 | − | 0.609265i | ||||
\(961\) | −1.77273 | + | 1.02349i | −0.0571850 | + | 0.0330158i | ||||
\(962\) | −14.1438 | − | 14.6437i | −0.456015 | − | 0.472133i | ||||
\(963\) | −2.36698 | + | 4.09974i | −0.0762750 | + | 0.132112i | ||||
\(964\) | 50.8575 | − | 13.6272i | 1.63801 | − | 0.438903i | ||||
\(965\) | 28.1788 | − | 16.2690i | 0.907107 | − | 0.523718i | ||||
\(966\) | −14.8669 | + | 0.644371i | −0.478335 | + | 0.0207323i | ||||
\(967\) | −15.7669 | + | 15.7669i | −0.507030 | + | 0.507030i | −0.913613 | − | 0.406584i | \(-0.866720\pi\) |
0.406584 | + | 0.913613i | \(0.366720\pi\) | |||||||
\(968\) | 33.0626 | − | 33.0626i | 1.06267 | − | 1.06267i | ||||
\(969\) | −50.4655 | − | 13.5222i | −1.62118 | − | 0.434395i | ||||
\(970\) | −62.6051 | + | 16.7750i | −2.01013 | + | 0.538612i | ||||
\(971\) | 16.4342i | 0.527399i | 0.964605 | + | 0.263700i | \(0.0849427\pi\) | ||||
−0.964605 | + | 0.263700i | \(0.915057\pi\) | |||||||
\(972\) | 2.04786 | + | 3.54699i | 0.0656850 | + | 0.113770i | ||||
\(973\) | −40.6066 | − | 9.01579i | −1.30179 | − | 0.289033i | ||||
\(974\) | 31.4848i | 1.00884i | ||||||||
\(975\) | 3.29395 | − | 11.4912i | 0.105491 | − | 0.368013i | ||||
\(976\) | 16.6226 | + | 9.59706i | 0.532076 | + | 0.307194i | ||||
\(977\) | 26.5750 | − | 26.5750i | 0.850210 | − | 0.850210i | −0.139948 | − | 0.990159i | \(-0.544694\pi\) |
0.990159 | + | 0.139948i | \(0.0446937\pi\) | |||||||
\(978\) | −29.3103 | − | 16.9223i | −0.937241 | − | 0.541117i | ||||
\(979\) | 1.80307 | − | 3.12301i | 0.0576263 | − | 0.0998117i | ||||
\(980\) | −63.2984 | − | 53.1822i | −2.02199 | − | 1.69884i | ||||
\(981\) | 4.56224 | + | 17.0265i | 0.145661 | + | 0.543615i | ||||
\(982\) | 32.2891 | + | 32.2891i | 1.03039 | + | 1.03039i | ||||
\(983\) | −10.7875 | − | 40.2595i | −0.344068 | − | 1.28408i | −0.893697 | − | 0.448671i | \(-0.851898\pi\) |
0.549629 | − | 0.835409i | \(-0.314769\pi\) | |||||||
\(984\) | 23.8552 | + | 41.3184i | 0.760476 | + | 1.31718i | ||||
\(985\) | −6.95953 | + | 12.0543i | −0.221749 | + | 0.384081i | ||||
\(986\) | −135.199 | − | 36.2264i | −4.30560 | − | 1.15368i | ||||
\(987\) | −0.0988707 | − | 2.28114i | −0.00314709 | − | 0.0726094i | ||||
\(988\) | −102.084 | − | 1.77283i | −3.24772 | − | 0.0564013i | ||||
\(989\) | −4.00849 | − | 6.94292i | −0.127463 | − | 0.220772i | ||||
\(990\) | −7.05403 | − | 7.05403i | −0.224192 | − | 0.224192i | ||||
\(991\) | 15.8259 | 0.502726 | 0.251363 | − | 0.967893i | \(-0.419121\pi\) | ||||
0.251363 | + | 0.967893i | \(0.419121\pi\) | |||||||
\(992\) | 5.20785 | 0.165349 | ||||||||
\(993\) | −14.6501 | − | 14.6501i | −0.464906 | − | 0.464906i | ||||
\(994\) | 29.9049 | − | 32.6146i | 0.948525 | − | 1.03447i | ||||
\(995\) | 32.0622 | − | 8.59104i | 1.01644 | − | 0.272354i | ||||
\(996\) | 3.22883 | − | 12.0502i | 0.102309 | − | 0.381824i | ||||
\(997\) | −9.53745 | + | 5.50645i | −0.302054 | + | 0.174391i | −0.643365 | − | 0.765559i | \(-0.722462\pi\) |
0.341311 | + | 0.939950i | \(0.389129\pi\) | |||||||
\(998\) | 92.1034i | 2.91548i | ||||||||
\(999\) | −0.591926 | − | 2.20910i | −0.0187277 | − | 0.0698928i |
(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 | 273.2.cg.a.262.1 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.262.9 | 36 | |||
7.5 | odd | 6 | 273.2.bt.a.145.1 | ✓ | 36 | ||
13.7 | odd | 12 | 273.2.bt.a.241.1 | yes | 36 | ||
21.5 | even | 6 | 819.2.et.c.145.9 | 36 | |||
39.20 | even | 12 | 819.2.et.c.514.9 | 36 | |||
91.33 | even | 12 | inner | 273.2.cg.a.124.1 | yes | 36 | |
273.215 | odd | 12 | 819.2.gh.c.397.9 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.1 | ✓ | 36 | 7.5 | odd | 6 | ||
273.2.bt.a.241.1 | yes | 36 | 13.7 | odd | 12 | ||
273.2.cg.a.124.1 | yes | 36 | 91.33 | even | 12 | inner | |
273.2.cg.a.262.1 | yes | 36 | 1.1 | even | 1 | trivial | |
819.2.et.c.145.9 | 36 | 21.5 | even | 6 | |||
819.2.et.c.514.9 | 36 | 39.20 | even | 12 | |||
819.2.gh.c.262.9 | 36 | 3.2 | odd | 2 | |||
819.2.gh.c.397.9 | 36 | 273.215 | odd | 12 |