Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,3,Mod(39,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.39");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.h (of order \(2\), degree \(1\), 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: | \(10.3542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 39.17 | ||
Character | \(\chi\) | \(=\) | 380.39 |
Dual form | 380.3.h.a.39.18 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.70952 | − | 1.03804i | −0.854762 | − | 0.519020i | ||||
\(3\) | 1.20444 | 0.401481 | 0.200741 | − | 0.979644i | \(-0.435665\pi\) | ||||
0.200741 | + | 0.979644i | \(0.435665\pi\) | |||||||
\(4\) | 1.84495 | + | 3.54911i | 0.461237 | + | 0.887277i | ||||
\(5\) | 3.17819 | − | 3.85994i | 0.635637 | − | 0.771988i | ||||
\(6\) | −2.05903 | − | 1.25026i | −0.343171 | − | 0.208377i | ||||
\(7\) | 6.44137 | 0.920196 | 0.460098 | − | 0.887868i | \(-0.347814\pi\) | ||||
0.460098 | + | 0.887868i | \(0.347814\pi\) | |||||||
\(8\) | 0.530130 | − | 7.98242i | 0.0662663 | − | 0.997802i | ||||
\(9\) | −7.54932 | −0.838813 | ||||||||
\(10\) | −9.43996 | + | 3.29958i | −0.943996 | + | 0.329958i | ||||
\(11\) | − | 4.38090i | − | 0.398263i | −0.979973 | − | 0.199132i | \(-0.936188\pi\) | ||
0.979973 | − | 0.199132i | \(-0.0638122\pi\) | |||||||
\(12\) | 2.22214 | + | 4.27470i | 0.185178 | + | 0.356225i | ||||
\(13\) | − | 18.5880i | − | 1.42984i | −0.699204 | − | 0.714922i | \(-0.746462\pi\) | ||
0.699204 | − | 0.714922i | \(-0.253538\pi\) | |||||||
\(14\) | −11.0117 | − | 6.68640i | −0.786549 | − | 0.477600i | ||||
\(15\) | 3.82795 | − | 4.64908i | 0.255196 | − | 0.309939i | ||||
\(16\) | −9.19233 | + | 13.0958i | −0.574521 | + | 0.818490i | ||||
\(17\) | 10.0468i | 0.590987i | 0.955345 | + | 0.295493i | \(0.0954840\pi\) | ||||
−0.955345 | + | 0.295493i | \(0.904516\pi\) | |||||||
\(18\) | 12.9057 | + | 7.83649i | 0.716986 | + | 0.435360i | ||||
\(19\) | − | 4.35890i | − | 0.229416i | ||||||
\(20\) | 19.5629 | + | 4.15833i | 0.978147 | + | 0.207917i | ||||
\(21\) | 7.75827 | 0.369441 | ||||||||
\(22\) | −4.54754 | + | 7.48925i | −0.206707 | + | 0.340421i | ||||
\(23\) | 16.8137 | 0.731029 | 0.365514 | − | 0.930806i | \(-0.380893\pi\) | ||||
0.365514 | + | 0.930806i | \(0.380893\pi\) | |||||||
\(24\) | 0.638512 | − | 9.61437i | 0.0266047 | − | 0.400599i | ||||
\(25\) | −4.79828 | − | 24.5352i | −0.191931 | − | 0.981408i | ||||
\(26\) | −19.2951 | + | 31.7766i | −0.742118 | + | 1.22218i | ||||
\(27\) | −19.9327 | −0.738249 | ||||||||
\(28\) | 11.8840 | + | 22.8611i | 0.424428 | + | 0.816469i | ||||
\(29\) | 14.9419 | 0.515239 | 0.257619 | − | 0.966246i | \(-0.417062\pi\) | ||||
0.257619 | + | 0.966246i | \(0.417062\pi\) | |||||||
\(30\) | −11.3699 | + | 3.97416i | −0.378997 | + | 0.132472i | ||||
\(31\) | 10.3268i | 0.333123i | 0.986031 | + | 0.166562i | \(0.0532664\pi\) | ||||
−0.986031 | + | 0.166562i | \(0.946734\pi\) | |||||||
\(32\) | 29.3085 | − | 12.8457i | 0.915891 | − | 0.401427i | ||||
\(33\) | − | 5.27654i | − | 0.159895i | ||||||
\(34\) | 10.4289 | − | 17.1752i | 0.306734 | − | 0.505153i | ||||
\(35\) | 20.4719 | − | 24.8633i | 0.584911 | − | 0.710380i | ||||
\(36\) | −13.9281 | − | 26.7933i | −0.386892 | − | 0.744259i | ||||
\(37\) | − | 32.8822i | − | 0.888708i | −0.895851 | − | 0.444354i | \(-0.853433\pi\) | ||
0.895851 | − | 0.444354i | \(-0.146567\pi\) | |||||||
\(38\) | −4.52471 | + | 7.45164i | −0.119071 | + | 0.196096i | ||||
\(39\) | − | 22.3882i | − | 0.574056i | ||||||
\(40\) | −29.1268 | − | 27.4159i | −0.728170 | − | 0.685397i | ||||
\(41\) | 33.0801 | 0.806832 | 0.403416 | − | 0.915017i | \(-0.367823\pi\) | ||||
0.403416 | + | 0.915017i | \(0.367823\pi\) | |||||||
\(42\) | −13.2630 | − | 8.05339i | −0.315785 | − | 0.191747i | ||||
\(43\) | −77.3574 | −1.79901 | −0.899505 | − | 0.436911i | \(-0.856072\pi\) | ||||
−0.899505 | + | 0.436911i | \(0.856072\pi\) | |||||||
\(44\) | 15.5483 | − | 8.08253i | 0.353370 | − | 0.183694i | ||||
\(45\) | −23.9931 | + | 29.1399i | −0.533180 | + | 0.647553i | ||||
\(46\) | −28.7434 | − | 17.4532i | −0.624856 | − | 0.379418i | ||||
\(47\) | 77.0608 | 1.63959 | 0.819796 | − | 0.572655i | \(-0.194087\pi\) | ||||
0.819796 | + | 0.572655i | \(0.194087\pi\) | |||||||
\(48\) | −11.0716 | + | 15.7732i | −0.230659 | + | 0.328608i | ||||
\(49\) | −7.50874 | −0.153240 | ||||||||
\(50\) | −17.2657 | + | 46.9243i | −0.345315 | + | 0.938487i | ||||
\(51\) | 12.1008i | 0.237270i | ||||||||
\(52\) | 65.9707 | − | 34.2939i | 1.26867 | − | 0.659497i | ||||
\(53\) | − | 77.3006i | − | 1.45850i | −0.684246 | − | 0.729251i | \(-0.739869\pi\) | ||
0.684246 | − | 0.729251i | \(-0.260131\pi\) | |||||||
\(54\) | 34.0755 | + | 20.6909i | 0.631027 | + | 0.383166i | ||||
\(55\) | −16.9100 | − | 13.9233i | −0.307455 | − | 0.253151i | ||||
\(56\) | 3.41477 | − | 51.4177i | 0.0609780 | − | 0.918173i | ||||
\(57\) | − | 5.25005i | − | 0.0921061i | ||||||
\(58\) | −25.5436 | − | 15.5103i | −0.440407 | − | 0.267419i | ||||
\(59\) | − | 41.4208i | − | 0.702047i | −0.936367 | − | 0.351023i | \(-0.885834\pi\) | ||
0.936367 | − | 0.351023i | \(-0.114166\pi\) | |||||||
\(60\) | 23.5624 | + | 5.00848i | 0.392707 | + | 0.0834746i | ||||
\(61\) | −5.37481 | −0.0881116 | −0.0440558 | − | 0.999029i | \(-0.514028\pi\) | ||||
−0.0440558 | + | 0.999029i | \(0.514028\pi\) | |||||||
\(62\) | 10.7196 | − | 17.6539i | 0.172897 | − | 0.284741i | ||||
\(63\) | −48.6279 | −0.771872 | ||||||||
\(64\) | −63.4379 | − | 8.46344i | −0.991218 | − | 0.132241i | ||||
\(65\) | −71.7485 | − | 59.0760i | −1.10382 | − | 0.908862i | ||||
\(66\) | −5.47726 | + | 9.02038i | −0.0829888 | + | 0.136672i | ||||
\(67\) | −33.9875 | −0.507276 | −0.253638 | − | 0.967299i | \(-0.581627\pi\) | ||||
−0.253638 | + | 0.967299i | \(0.581627\pi\) | |||||||
\(68\) | −35.6571 | + | 18.5358i | −0.524369 | + | 0.272585i | ||||
\(69\) | 20.2511 | 0.293494 | ||||||||
\(70\) | −60.8063 | + | 21.2538i | −0.868661 | + | 0.303626i | ||||
\(71\) | 65.9277i | 0.928560i | 0.885689 | + | 0.464280i | \(0.153687\pi\) | ||||
−0.885689 | + | 0.464280i | \(0.846313\pi\) | |||||||
\(72\) | −4.00212 | + | 60.2618i | −0.0555850 | + | 0.836969i | ||||
\(73\) | − | 12.9194i | − | 0.176979i | −0.996077 | − | 0.0884893i | \(-0.971796\pi\) | ||
0.996077 | − | 0.0884893i | \(-0.0282039\pi\) | |||||||
\(74\) | −34.1330 | + | 56.2129i | −0.461257 | + | 0.759634i | ||||
\(75\) | −5.77926 | − | 29.5513i | −0.0770567 | − | 0.394017i | ||||
\(76\) | 15.4702 | − | 8.04194i | 0.203555 | − | 0.105815i | ||||
\(77\) | − | 28.2190i | − | 0.366480i | ||||||
\(78\) | −23.2398 | + | 38.2731i | −0.297946 | + | 0.490681i | ||||
\(79\) | − | 49.5948i | − | 0.627782i | −0.949459 | − | 0.313891i | \(-0.898367\pi\) | ||
0.949459 | − | 0.313891i | \(-0.101633\pi\) | |||||||
\(80\) | 21.3342 | + | 77.1029i | 0.266678 | + | 0.963786i | ||||
\(81\) | 43.9360 | 0.542420 | ||||||||
\(82\) | −56.5512 | − | 34.3384i | −0.689649 | − | 0.418762i | ||||
\(83\) | −131.312 | −1.58207 | −0.791037 | − | 0.611768i | \(-0.790459\pi\) | ||||
−0.791037 | + | 0.611768i | \(0.790459\pi\) | |||||||
\(84\) | 14.3136 | + | 27.5349i | 0.170400 | + | 0.327797i | ||||
\(85\) | 38.7799 | + | 31.9305i | 0.456235 | + | 0.375653i | ||||
\(86\) | 132.244 | + | 80.3000i | 1.53773 | + | 0.933721i | ||||
\(87\) | 17.9967 | 0.206859 | ||||||||
\(88\) | −34.9701 | − | 2.32245i | −0.397388 | − | 0.0263914i | ||||
\(89\) | 146.244 | 1.64319 | 0.821596 | − | 0.570070i | \(-0.193084\pi\) | ||||
0.821596 | + | 0.570070i | \(0.193084\pi\) | |||||||
\(90\) | 71.2652 | − | 24.9096i | 0.791836 | − | 0.276773i | ||||
\(91\) | − | 119.732i | − | 1.31574i | ||||||
\(92\) | 31.0203 | + | 59.6735i | 0.337177 | + | 0.648625i | ||||
\(93\) | 12.4381i | 0.133743i | ||||||||
\(94\) | −131.737 | − | 79.9922i | −1.40146 | − | 0.850981i | ||||
\(95\) | −16.8251 | − | 13.8534i | −0.177106 | − | 0.145825i | ||||
\(96\) | 35.3005 | − | 15.4719i | 0.367713 | − | 0.161165i | ||||
\(97\) | 58.5847i | 0.603966i | 0.953313 | + | 0.301983i | \(0.0976485\pi\) | ||||
−0.953313 | + | 0.301983i | \(0.902351\pi\) | |||||||
\(98\) | 12.8364 | + | 7.79437i | 0.130983 | + | 0.0795344i | ||||
\(99\) | 33.0728i | 0.334068i | ||||||||
\(100\) | 78.2255 | − | 62.2958i | 0.782255 | − | 0.622958i | ||||
\(101\) | 164.046 | 1.62421 | 0.812107 | − | 0.583508i | \(-0.198320\pi\) | ||||
0.812107 | + | 0.583508i | \(0.198320\pi\) | |||||||
\(102\) | 12.5611 | − | 20.6866i | 0.123148 | − | 0.202809i | ||||
\(103\) | −13.2411 | −0.128554 | −0.0642770 | − | 0.997932i | \(-0.520474\pi\) | ||||
−0.0642770 | + | 0.997932i | \(0.520474\pi\) | |||||||
\(104\) | −148.377 | − | 9.85405i | −1.42670 | − | 0.0947505i | ||||
\(105\) | 24.6572 | − | 29.9465i | 0.234831 | − | 0.285204i | ||||
\(106\) | −80.2411 | + | 132.147i | −0.756991 | + | 1.24667i | ||||
\(107\) | 55.1237 | 0.515174 | 0.257587 | − | 0.966255i | \(-0.417073\pi\) | ||||
0.257587 | + | 0.966255i | \(0.417073\pi\) | |||||||
\(108\) | −36.7748 | − | 70.7434i | −0.340508 | − | 0.655031i | ||||
\(109\) | 128.952 | 1.18304 | 0.591522 | − | 0.806289i | \(-0.298527\pi\) | ||||
0.591522 | + | 0.806289i | \(0.298527\pi\) | |||||||
\(110\) | 14.4551 | + | 41.3555i | 0.131410 | + | 0.375959i | ||||
\(111\) | − | 39.6047i | − | 0.356800i | ||||||
\(112\) | −59.2112 | + | 84.3552i | −0.528672 | + | 0.753171i | ||||
\(113\) | 127.923i | 1.13206i | 0.824384 | + | 0.566032i | \(0.191522\pi\) | ||||
−0.824384 | + | 0.566032i | \(0.808478\pi\) | |||||||
\(114\) | −5.44976 | + | 8.97509i | −0.0478049 | + | 0.0787288i | ||||
\(115\) | 53.4369 | − | 64.8997i | 0.464669 | − | 0.564345i | ||||
\(116\) | 27.5671 | + | 53.0305i | 0.237647 | + | 0.457159i | ||||
\(117\) | 140.327i | 1.19937i | ||||||||
\(118\) | −42.9964 | + | 70.8098i | −0.364376 | + | 0.600083i | ||||
\(119\) | 64.7150i | 0.543823i | ||||||||
\(120\) | −35.0816 | − | 33.0209i | −0.292347 | − | 0.275174i | ||||
\(121\) | 101.808 | 0.841386 | ||||||||
\(122\) | 9.18836 | + | 5.57926i | 0.0753144 | + | 0.0457316i | ||||
\(123\) | 39.8431 | 0.323928 | ||||||||
\(124\) | −36.6510 | + | 19.0524i | −0.295572 | + | 0.153649i | ||||
\(125\) | −109.954 | − | 59.4564i | −0.879634 | − | 0.475651i | ||||
\(126\) | 83.1307 | + | 50.4777i | 0.659767 | + | 0.400617i | ||||
\(127\) | 7.74382 | 0.0609749 | 0.0304875 | − | 0.999535i | \(-0.490294\pi\) | ||||
0.0304875 | + | 0.999535i | \(0.490294\pi\) | |||||||
\(128\) | 99.6633 | + | 80.3195i | 0.778620 | + | 0.627496i | ||||
\(129\) | −93.1726 | −0.722268 | ||||||||
\(130\) | 61.3325 | + | 175.470i | 0.471789 | + | 1.34977i | ||||
\(131\) | 161.434i | 1.23232i | 0.787622 | + | 0.616159i | \(0.211312\pi\) | ||||
−0.787622 | + | 0.616159i | \(0.788688\pi\) | |||||||
\(132\) | 18.7270 | − | 9.73495i | 0.141871 | − | 0.0737496i | ||||
\(133\) | − | 28.0773i | − | 0.211107i | ||||||
\(134\) | 58.1024 | + | 35.2803i | 0.433600 | + | 0.263286i | ||||
\(135\) | −63.3499 | + | 76.9391i | −0.469258 | + | 0.569919i | ||||
\(136\) | 80.1975 | + | 5.32610i | 0.589688 | + | 0.0391625i | ||||
\(137\) | 70.5190i | 0.514737i | 0.966313 | + | 0.257369i | \(0.0828554\pi\) | ||||
−0.966313 | + | 0.257369i | \(0.917145\pi\) | |||||||
\(138\) | −34.6198 | − | 21.0214i | −0.250868 | − | 0.152329i | ||||
\(139\) | 215.827i | 1.55271i | 0.630295 | + | 0.776356i | \(0.282934\pi\) | ||||
−0.630295 | + | 0.776356i | \(0.717066\pi\) | |||||||
\(140\) | 126.012 | + | 26.7854i | 0.900086 | + | 0.191324i | ||||
\(141\) | 92.8154 | 0.658266 | ||||||||
\(142\) | 68.4356 | − | 112.705i | 0.481941 | − | 0.793698i | ||||
\(143\) | −81.4320 | −0.569455 | ||||||||
\(144\) | 69.3958 | − | 98.8646i | 0.481915 | − | 0.686560i | ||||
\(145\) | 47.4882 | − | 57.6749i | 0.327505 | − | 0.397758i | ||||
\(146\) | −13.4109 | + | 22.0861i | −0.0918554 | + | 0.151275i | ||||
\(147\) | −9.04385 | −0.0615228 | ||||||||
\(148\) | 116.702 | − | 60.6659i | 0.788530 | − | 0.409905i | ||||
\(149\) | −244.215 | −1.63903 | −0.819513 | − | 0.573061i | \(-0.805756\pi\) | ||||
−0.819513 | + | 0.573061i | \(0.805756\pi\) | |||||||
\(150\) | −20.7956 | + | 56.5177i | −0.138637 | + | 0.376785i | ||||
\(151\) | 173.692i | 1.15028i | 0.818056 | + | 0.575139i | \(0.195052\pi\) | ||||
−0.818056 | + | 0.575139i | \(0.804948\pi\) | |||||||
\(152\) | −34.7945 | − | 2.31078i | −0.228911 | − | 0.0152025i | ||||
\(153\) | − | 75.8462i | − | 0.495727i | ||||||
\(154\) | −29.2924 | + | 48.2410i | −0.190211 | + | 0.313254i | ||||
\(155\) | 39.8609 | + | 32.8205i | 0.257167 | + | 0.211745i | ||||
\(156\) | 79.4581 | − | 41.3050i | 0.509346 | − | 0.264776i | ||||
\(157\) | 30.1229i | 0.191866i | 0.995388 | + | 0.0959328i | \(0.0305834\pi\) | ||||
−0.995388 | + | 0.0959328i | \(0.969417\pi\) | |||||||
\(158\) | −51.4813 | + | 84.7835i | −0.325831 | + | 0.536604i | ||||
\(159\) | − | 93.1042i | − | 0.585561i | ||||||
\(160\) | 43.5644 | − | 153.955i | 0.272278 | − | 0.962219i | ||||
\(161\) | 108.303 | 0.672689 | ||||||||
\(162\) | −75.1097 | − | 45.6073i | −0.463640 | − | 0.281527i | ||||
\(163\) | 100.884 | 0.618918 | 0.309459 | − | 0.950913i | \(-0.399852\pi\) | ||||
0.309459 | + | 0.950913i | \(0.399852\pi\) | |||||||
\(164\) | 61.0311 | + | 117.405i | 0.372141 | + | 0.715883i | ||||
\(165\) | −20.3671 | − | 16.7698i | −0.123437 | − | 0.101635i | ||||
\(166\) | 224.481 | + | 136.307i | 1.35230 | + | 0.821128i | ||||
\(167\) | 158.441 | 0.948749 | 0.474375 | − | 0.880323i | \(-0.342674\pi\) | ||||
0.474375 | + | 0.880323i | \(0.342674\pi\) | |||||||
\(168\) | 4.11289 | − | 61.9297i | 0.0244815 | − | 0.368629i | ||||
\(169\) | −176.513 | −1.04446 | ||||||||
\(170\) | −33.1501 | − | 94.8411i | −0.195001 | − | 0.557889i | ||||
\(171\) | 32.9067i | 0.192437i | ||||||||
\(172\) | −142.720 | − | 274.550i | −0.829770 | − | 1.59622i | ||||
\(173\) | 52.4672i | 0.303279i | 0.988436 | + | 0.151639i | \(0.0484552\pi\) | ||||
−0.988436 | + | 0.151639i | \(0.951545\pi\) | |||||||
\(174\) | −30.7658 | − | 18.6813i | −0.176815 | − | 0.107364i | ||||
\(175\) | −30.9075 | − | 158.040i | −0.176614 | − | 0.903088i | ||||
\(176\) | 57.3715 | + | 40.2707i | 0.325975 | + | 0.228811i | ||||
\(177\) | − | 49.8890i | − | 0.281859i | ||||||
\(178\) | −250.008 | − | 151.807i | −1.40454 | − | 0.852849i | ||||
\(179\) | − | 30.3539i | − | 0.169575i | −0.996399 | − | 0.0847875i | \(-0.972979\pi\) | ||
0.996399 | − | 0.0847875i | \(-0.0270211\pi\) | |||||||
\(180\) | −147.687 | − | 31.3926i | −0.820482 | − | 0.174403i | ||||
\(181\) | −300.899 | −1.66242 | −0.831212 | − | 0.555956i | \(-0.812352\pi\) | ||||
−0.831212 | + | 0.555956i | \(0.812352\pi\) | |||||||
\(182\) | −124.287 | + | 204.685i | −0.682894 | + | 1.12464i | ||||
\(183\) | −6.47365 | −0.0353751 | ||||||||
\(184\) | 8.91343 | − | 134.214i | 0.0484425 | − | 0.729422i | ||||
\(185\) | −126.923 | − | 104.506i | −0.686072 | − | 0.564896i | ||||
\(186\) | 12.9112 | − | 21.2632i | 0.0694151 | − | 0.114318i | ||||
\(187\) | 44.0139 | 0.235368 | ||||||||
\(188\) | 142.173 | + | 273.497i | 0.756241 | + | 1.45477i | ||||
\(189\) | −128.394 | −0.679334 | ||||||||
\(190\) | 14.3825 | + | 41.1478i | 0.0756976 | + | 0.216567i | ||||
\(191\) | − | 240.190i | − | 1.25754i | −0.777593 | − | 0.628768i | \(-0.783559\pi\) | ||
0.777593 | − | 0.628768i | \(-0.216441\pi\) | |||||||
\(192\) | −76.4074 | − | 10.1937i | −0.397955 | − | 0.0530924i | ||||
\(193\) | 81.0689i | 0.420046i | 0.977696 | + | 0.210023i | \(0.0673539\pi\) | ||||
−0.977696 | + | 0.210023i | \(0.932646\pi\) | |||||||
\(194\) | 60.8132 | − | 100.152i | 0.313470 | − | 0.516247i | ||||
\(195\) | −86.4170 | − | 71.1538i | −0.443164 | − | 0.364891i | ||||
\(196\) | −13.8532 | − | 26.6493i | −0.0706798 | − | 0.135966i | ||||
\(197\) | 265.088i | 1.34563i | 0.739812 | + | 0.672813i | \(0.234914\pi\) | ||||
−0.739812 | + | 0.672813i | \(0.765086\pi\) | |||||||
\(198\) | 34.3308 | − | 56.5387i | 0.173388 | − | 0.285549i | ||||
\(199\) | 78.0268i | 0.392094i | 0.980594 | + | 0.196047i | \(0.0628106\pi\) | ||||
−0.980594 | + | 0.196047i | \(0.937189\pi\) | |||||||
\(200\) | −198.394 | + | 25.2950i | −0.991970 | + | 0.126475i | ||||
\(201\) | −40.9360 | −0.203662 | ||||||||
\(202\) | −280.440 | − | 170.286i | −1.38832 | − | 0.843000i | ||||
\(203\) | 96.2465 | 0.474120 | ||||||||
\(204\) | −42.9469 | + | 22.3253i | −0.210524 | + | 0.109438i | ||||
\(205\) | 105.135 | − | 127.687i | 0.512852 | − | 0.622864i | ||||
\(206\) | 22.6359 | + | 13.7447i | 0.109883 | + | 0.0667221i | ||||
\(207\) | −126.932 | −0.613196 | ||||||||
\(208\) | 243.425 | + | 170.867i | 1.17031 | + | 0.821476i | ||||
\(209\) | −19.0959 | −0.0913679 | ||||||||
\(210\) | −73.2377 | + | 25.5990i | −0.348751 | + | 0.121900i | ||||
\(211\) | − | 225.442i | − | 1.06845i | −0.845343 | − | 0.534224i | \(-0.820604\pi\) | ||
0.845343 | − | 0.534224i | \(-0.179396\pi\) | |||||||
\(212\) | 274.348 | − | 142.616i | 1.29410 | − | 0.672715i | ||||
\(213\) | 79.4062i | 0.372799i | ||||||||
\(214\) | −94.2353 | − | 57.2205i | −0.440352 | − | 0.267386i | ||||
\(215\) | −245.856 | + | 298.595i | −1.14352 | + | 1.38881i | ||||
\(216\) | −10.5669 | + | 159.111i | −0.0489210 | + | 0.736626i | ||||
\(217\) | 66.5188i | 0.306538i | ||||||||
\(218\) | −220.446 | − | 133.857i | −1.01122 | − | 0.614024i | ||||
\(219\) | − | 15.5607i | − | 0.0710536i | ||||||
\(220\) | 18.2172 | − | 85.7032i | 0.0828056 | − | 0.389560i | ||||
\(221\) | 186.749 | 0.845019 | ||||||||
\(222\) | −41.1113 | + | 67.7053i | −0.185186 | + | 0.304979i | ||||
\(223\) | 213.433 | 0.957099 | 0.478550 | − | 0.878060i | \(-0.341163\pi\) | ||||
0.478550 | + | 0.878060i | \(0.341163\pi\) | |||||||
\(224\) | 188.787 | − | 82.7436i | 0.842799 | − | 0.369391i | ||||
\(225\) | 36.2237 | + | 185.224i | 0.160994 | + | 0.823218i | ||||
\(226\) | 132.789 | − | 218.688i | 0.587563 | − | 0.967645i | ||||
\(227\) | 33.4439 | 0.147330 | 0.0736650 | − | 0.997283i | \(-0.476530\pi\) | ||||
0.0736650 | + | 0.997283i | \(0.476530\pi\) | |||||||
\(228\) | 18.6330 | − | 9.68607i | 0.0817236 | − | 0.0424827i | ||||
\(229\) | −44.7554 | −0.195439 | −0.0977193 | − | 0.995214i | \(-0.531155\pi\) | ||||
−0.0977193 | + | 0.995214i | \(0.531155\pi\) | |||||||
\(230\) | −158.720 | + | 55.4780i | −0.690088 | + | 0.241209i | ||||
\(231\) | − | 33.9882i | − | 0.147135i | ||||||
\(232\) | 7.92116 | − | 119.273i | 0.0341430 | − | 0.514106i | ||||
\(233\) | − | 215.494i | − | 0.924866i | −0.886654 | − | 0.462433i | \(-0.846977\pi\) | ||
0.886654 | − | 0.462433i | \(-0.153023\pi\) | |||||||
\(234\) | 145.664 | − | 239.892i | 0.622498 | − | 1.02518i | ||||
\(235\) | 244.914 | − | 297.450i | 1.04219 | − | 1.26575i | ||||
\(236\) | 147.007 | − | 76.4192i | 0.622910 | − | 0.323810i | ||||
\(237\) | − | 59.7341i | − | 0.252043i | ||||||
\(238\) | 67.1767 | − | 110.632i | 0.282255 | − | 0.464840i | ||||
\(239\) | 305.842i | 1.27968i | 0.768510 | + | 0.639838i | \(0.220998\pi\) | ||||
−0.768510 | + | 0.639838i | \(0.779002\pi\) | |||||||
\(240\) | 25.6959 | + | 92.8661i | 0.107066 | + | 0.386942i | ||||
\(241\) | −149.888 | −0.621943 | −0.310971 | − | 0.950419i | \(-0.600654\pi\) | ||||
−0.310971 | + | 0.950419i | \(0.600654\pi\) | |||||||
\(242\) | −174.043 | − | 105.680i | −0.719185 | − | 0.436696i | ||||
\(243\) | 232.313 | 0.956020 | ||||||||
\(244\) | −9.91624 | − | 19.0758i | −0.0406403 | − | 0.0781794i | ||||
\(245\) | −23.8642 | + | 28.9833i | −0.0974047 | + | 0.118299i | ||||
\(246\) | −68.1128 | − | 41.3587i | −0.276881 | − | 0.168125i | ||||
\(247\) | −81.0231 | −0.328029 | ||||||||
\(248\) | 82.4329 | + | 5.47456i | 0.332391 | + | 0.0220748i | ||||
\(249\) | −158.158 | −0.635173 | ||||||||
\(250\) | 126.251 | + | 215.779i | 0.505006 | + | 0.863116i | ||||
\(251\) | − | 79.7048i | − | 0.317549i | −0.987315 | − | 0.158774i | \(-0.949246\pi\) | ||
0.987315 | − | 0.158774i | \(-0.0507543\pi\) | |||||||
\(252\) | −89.7160 | − | 172.586i | −0.356016 | − | 0.684864i | ||||
\(253\) | − | 73.6589i | − | 0.291142i | ||||||
\(254\) | −13.2382 | − | 8.03839i | −0.0521191 | − | 0.0316472i | ||||
\(255\) | 46.7082 | + | 38.4585i | 0.183170 | + | 0.150818i | ||||
\(256\) | −87.0020 | − | 240.763i | −0.339852 | − | 0.940479i | ||||
\(257\) | 112.477i | 0.437653i | 0.975764 | + | 0.218827i | \(0.0702230\pi\) | ||||
−0.975764 | + | 0.218827i | \(0.929777\pi\) | |||||||
\(258\) | 159.281 | + | 96.7169i | 0.617368 | + | 0.374872i | ||||
\(259\) | − | 211.806i | − | 0.817785i | ||||||
\(260\) | 77.2950 | − | 363.635i | 0.297289 | − | 1.39860i | ||||
\(261\) | −112.801 | −0.432189 | ||||||||
\(262\) | 167.575 | − | 275.975i | 0.639598 | − | 1.05334i | ||||
\(263\) | −399.362 | −1.51849 | −0.759244 | − | 0.650806i | \(-0.774431\pi\) | ||||
−0.759244 | + | 0.650806i | \(0.774431\pi\) | |||||||
\(264\) | −42.1196 | − | 2.79726i | −0.159544 | − | 0.0105957i | ||||
\(265\) | −298.376 | − | 245.676i | −1.12595 | − | 0.927078i | ||||
\(266\) | −29.1453 | + | 47.9988i | −0.109569 | + | 0.180447i | ||||
\(267\) | 176.143 | 0.659711 | ||||||||
\(268\) | −62.7051 | − | 120.625i | −0.233974 | − | 0.450094i | ||||
\(269\) | −49.1692 | −0.182785 | −0.0913925 | − | 0.995815i | \(-0.529132\pi\) | ||||
−0.0913925 | + | 0.995815i | \(0.529132\pi\) | |||||||
\(270\) | 188.164 | − | 65.7696i | 0.696904 | − | 0.243591i | ||||
\(271\) | 477.297i | 1.76124i | 0.473819 | + | 0.880622i | \(0.342875\pi\) | ||||
−0.473819 | + | 0.880622i | \(0.657125\pi\) | |||||||
\(272\) | −131.571 | − | 92.3533i | −0.483717 | − | 0.339534i | ||||
\(273\) | − | 144.211i | − | 0.528244i | ||||||
\(274\) | 73.2015 | − | 120.554i | 0.267159 | − | 0.439978i | ||||
\(275\) | −107.486 | + | 21.0208i | −0.390859 | + | 0.0764391i | ||||
\(276\) | 37.3622 | + | 71.8734i | 0.135370 | + | 0.260411i | ||||
\(277\) | 373.269i | 1.34754i | 0.738940 | + | 0.673771i | \(0.235327\pi\) | ||||
−0.738940 | + | 0.673771i | \(0.764673\pi\) | |||||||
\(278\) | 224.037 | − | 368.961i | 0.805888 | − | 1.32720i | ||||
\(279\) | − | 77.9604i | − | 0.279428i | ||||||
\(280\) | −187.617 | − | 176.596i | −0.670059 | − | 0.630699i | ||||
\(281\) | 308.449 | 1.09768 | 0.548842 | − | 0.835926i | \(-0.315069\pi\) | ||||
0.548842 | + | 0.835926i | \(0.315069\pi\) | |||||||
\(282\) | −158.670 | − | 96.3461i | −0.562661 | − | 0.341653i | ||||
\(283\) | 178.424 | 0.630472 | 0.315236 | − | 0.949013i | \(-0.397916\pi\) | ||||
0.315236 | + | 0.949013i | \(0.397916\pi\) | |||||||
\(284\) | −233.985 | + | 121.633i | −0.823890 | + | 0.428286i | ||||
\(285\) | −20.2649 | − | 16.6856i | −0.0711048 | − | 0.0585461i | ||||
\(286\) | 139.210 | + | 84.5297i | 0.486748 | + | 0.295558i | ||||
\(287\) | 213.081 | 0.742443 | ||||||||
\(288\) | −221.259 | + | 96.9759i | −0.768261 | + | 0.336722i | ||||
\(289\) | 188.062 | 0.650735 | ||||||||
\(290\) | −141.051 | + | 49.3021i | −0.486383 | + | 0.170007i | ||||
\(291\) | 70.5619i | 0.242481i | ||||||||
\(292\) | 45.8525 | − | 23.8357i | 0.157029 | − | 0.0816291i | ||||
\(293\) | − | 383.511i | − | 1.30891i | −0.756100 | − | 0.654456i | \(-0.772898\pi\) | ||
0.756100 | − | 0.654456i | \(-0.227102\pi\) | |||||||
\(294\) | 15.4607 | + | 9.38788i | 0.0525874 | + | 0.0319316i | ||||
\(295\) | −159.882 | − | 131.643i | −0.541972 | − | 0.446247i | ||||
\(296\) | −262.479 | − | 17.4318i | −0.886754 | − | 0.0588914i | ||||
\(297\) | 87.3232i | 0.294017i | ||||||||
\(298\) | 417.491 | + | 253.505i | 1.40098 | + | 0.850687i | ||||
\(299\) | − | 312.532i | − | 1.04526i | ||||||
\(300\) | 94.2182 | − | 75.0318i | 0.314061 | − | 0.250106i | ||||
\(301\) | −498.288 | −1.65544 | ||||||||
\(302\) | 180.299 | − | 296.931i | 0.597017 | − | 0.983214i | ||||
\(303\) | 197.584 | 0.652092 | ||||||||
\(304\) | 57.0834 | + | 40.0685i | 0.187774 | + | 0.131804i | ||||
\(305\) | −17.0821 | + | 20.7464i | −0.0560070 | + | 0.0680211i | ||||
\(306\) | −78.7314 | + | 129.661i | −0.257292 | + | 0.423729i | ||||
\(307\) | 89.1480 | 0.290384 | 0.145192 | − | 0.989403i | \(-0.453620\pi\) | ||||
0.145192 | + | 0.989403i | \(0.453620\pi\) | |||||||
\(308\) | 100.152 | − | 52.0626i | 0.325170 | − | 0.169034i | ||||
\(309\) | −15.9481 | −0.0516120 | ||||||||
\(310\) | −34.0742 | − | 97.4847i | −0.109917 | − | 0.314467i | ||||
\(311\) | 494.211i | 1.58910i | 0.607198 | + | 0.794551i | \(0.292294\pi\) | ||||
−0.607198 | + | 0.794551i | \(0.707706\pi\) | |||||||
\(312\) | −178.712 | − | 11.8687i | −0.572794 | − | 0.0380405i | ||||
\(313\) | 193.158i | 0.617117i | 0.951205 | + | 0.308559i | \(0.0998466\pi\) | ||||
−0.951205 | + | 0.308559i | \(0.900153\pi\) | |||||||
\(314\) | 31.2688 | − | 51.4959i | 0.0995821 | − | 0.164000i | ||||
\(315\) | −154.549 | + | 187.701i | −0.490630 | + | 0.595876i | ||||
\(316\) | 176.017 | − | 91.4998i | 0.557017 | − | 0.289556i | ||||
\(317\) | 619.732i | 1.95499i | 0.210954 | + | 0.977496i | \(0.432343\pi\) | ||||
−0.210954 | + | 0.977496i | \(0.567657\pi\) | |||||||
\(318\) | −96.6459 | + | 159.164i | −0.303918 | + | 0.500516i | ||||
\(319\) | − | 65.4590i | − | 0.205201i | ||||||
\(320\) | −234.286 | + | 217.968i | −0.732143 | + | 0.681151i | ||||
\(321\) | 66.3933 | 0.206833 | ||||||||
\(322\) | −185.147 | − | 112.423i | −0.574990 | − | 0.349139i | ||||
\(323\) | 43.7929 | 0.135582 | ||||||||
\(324\) | 81.0596 | + | 155.934i | 0.250184 | + | 0.481277i | ||||
\(325\) | −456.060 | + | 89.1903i | −1.40326 | + | 0.274432i | ||||
\(326\) | −172.463 | − | 104.721i | −0.529028 | − | 0.321231i | ||||
\(327\) | 155.315 | 0.474970 | ||||||||
\(328\) | 17.5368 | − | 264.059i | 0.0534657 | − | 0.805058i | ||||
\(329\) | 496.377 | 1.50875 | ||||||||
\(330\) | 17.4104 | + | 49.8103i | 0.0527587 | + | 0.150940i | ||||
\(331\) | 155.301i | 0.469186i | 0.972094 | + | 0.234593i | \(0.0753757\pi\) | ||||
−0.972094 | + | 0.234593i | \(0.924624\pi\) | |||||||
\(332\) | −242.264 | − | 466.041i | −0.729711 | − | 1.40374i | ||||
\(333\) | 248.238i | 0.745460i | ||||||||
\(334\) | −270.859 | − | 164.468i | −0.810955 | − | 0.492420i | ||||
\(335\) | −108.018 | + | 131.190i | −0.322443 | + | 0.391611i | ||||
\(336\) | −71.3166 | + | 101.601i | −0.212252 | + | 0.302384i | ||||
\(337\) | − | 182.187i | − | 0.540615i | −0.962774 | − | 0.270308i | \(-0.912875\pi\) | ||
0.962774 | − | 0.270308i | \(-0.0871254\pi\) | |||||||
\(338\) | 301.753 | + | 183.228i | 0.892761 | + | 0.542093i | ||||
\(339\) | 154.076i | 0.454502i | ||||||||
\(340\) | −41.7778 | + | 196.544i | −0.122876 | + | 0.578071i | ||||
\(341\) | 45.2407 | 0.132671 | ||||||||
\(342\) | 34.1585 | − | 56.2548i | 0.0998785 | − | 0.164488i | ||||
\(343\) | −363.994 | −1.06121 | ||||||||
\(344\) | −41.0095 | + | 617.499i | −0.119214 | + | 1.79505i | ||||
\(345\) | 64.3618 | − | 78.1681i | 0.186556 | − | 0.226574i | ||||
\(346\) | 54.4631 | − | 89.6940i | 0.157408 | − | 0.259231i | ||||
\(347\) | −37.0704 | −0.106831 | −0.0534156 | − | 0.998572i | \(-0.517011\pi\) | ||||
−0.0534156 | + | 0.998572i | \(0.517011\pi\) | |||||||
\(348\) | 33.2030 | + | 63.8722i | 0.0954109 | + | 0.183541i | ||||
\(349\) | −244.060 | −0.699311 | −0.349656 | − | 0.936878i | \(-0.613701\pi\) | ||||
−0.349656 | + | 0.936878i | \(0.613701\pi\) | |||||||
\(350\) | −111.215 | + | 302.257i | −0.317757 | + | 0.863592i | ||||
\(351\) | 370.509i | 1.05558i | ||||||||
\(352\) | −56.2755 | − | 128.398i | −0.159874 | − | 0.364766i | ||||
\(353\) | − | 48.4139i | − | 0.137150i | −0.997646 | − | 0.0685750i | \(-0.978155\pi\) | ||
0.997646 | − | 0.0685750i | \(-0.0218452\pi\) | |||||||
\(354\) | −51.7867 | + | 85.2864i | −0.146290 | + | 0.240922i | ||||
\(355\) | 254.477 | + | 209.531i | 0.716837 | + | 0.590227i | ||||
\(356\) | 269.813 | + | 519.036i | 0.757901 | + | 1.45797i | ||||
\(357\) | 77.9456i | 0.218335i | ||||||||
\(358\) | −31.5086 | + | 51.8908i | −0.0880128 | + | 0.144946i | ||||
\(359\) | − | 191.649i | − | 0.533842i | −0.963718 | − | 0.266921i | \(-0.913994\pi\) | ||
0.963718 | − | 0.266921i | \(-0.0860062\pi\) | |||||||
\(360\) | 219.887 | + | 206.971i | 0.610798 | + | 0.574920i | ||||
\(361\) | −19.0000 | −0.0526316 | ||||||||
\(362\) | 514.394 | + | 312.345i | 1.42098 | + | 0.862831i | ||||
\(363\) | 122.622 | 0.337801 | ||||||||
\(364\) | 424.942 | − | 220.899i | 1.16742 | − | 0.606867i | ||||
\(365\) | −49.8683 | − | 41.0604i | −0.136625 | − | 0.112494i | ||||
\(366\) | 11.0669 | + | 6.71991i | 0.0302373 | + | 0.0183604i | ||||
\(367\) | 276.491 | 0.753381 | 0.376690 | − | 0.926339i | \(-0.377062\pi\) | ||||
0.376690 | + | 0.926339i | \(0.377062\pi\) | |||||||
\(368\) | −154.557 | + | 220.189i | −0.419991 | + | 0.598340i | ||||
\(369\) | −249.732 | −0.676781 | ||||||||
\(370\) | 108.497 | + | 310.406i | 0.293236 | + | 0.838936i | ||||
\(371\) | − | 497.922i | − | 1.34211i | ||||||
\(372\) | −44.1440 | + | 22.9476i | −0.118667 | + | 0.0616871i | ||||
\(373\) | − | 671.067i | − | 1.79911i | −0.436811 | − | 0.899553i | \(-0.643892\pi\) | ||
0.436811 | − | 0.899553i | \(-0.356108\pi\) | |||||||
\(374\) | −75.2428 | − | 45.6881i | −0.201184 | − | 0.122161i | ||||
\(375\) | −132.434 | − | 71.6119i | −0.353157 | − | 0.190965i | ||||
\(376\) | 40.8523 | − | 615.132i | 0.108650 | − | 1.63599i | ||||
\(377\) | − | 277.740i | − | 0.736711i | ||||||
\(378\) | 219.493 | + | 133.278i | 0.580669 | + | 0.352588i | ||||
\(379\) | − | 291.027i | − | 0.767880i | −0.923358 | − | 0.383940i | \(-0.874567\pi\) | ||
0.923358 | − | 0.383940i | \(-0.125433\pi\) | |||||||
\(380\) | 18.1258 | − | 85.2728i | 0.0476993 | − | 0.224402i | ||||
\(381\) | 9.32699 | 0.0244803 | ||||||||
\(382\) | −249.326 | + | 410.610i | −0.652686 | + | 1.07490i | ||||
\(383\) | −60.6356 | −0.158318 | −0.0791588 | − | 0.996862i | \(-0.525223\pi\) | ||||
−0.0791588 | + | 0.996862i | \(0.525223\pi\) | |||||||
\(384\) | 120.039 | + | 96.7403i | 0.312601 | + | 0.251928i | ||||
\(385\) | −108.924 | − | 89.6852i | −0.282918 | − | 0.232948i | ||||
\(386\) | 84.1527 | − | 138.589i | 0.218012 | − | 0.359039i | ||||
\(387\) | 583.995 | 1.50903 | ||||||||
\(388\) | −207.923 | + | 108.086i | −0.535885 | + | 0.278571i | ||||
\(389\) | 435.068 | 1.11843 | 0.559214 | − | 0.829024i | \(-0.311103\pi\) | ||||
0.559214 | + | 0.829024i | \(0.311103\pi\) | |||||||
\(390\) | 73.8716 | + | 211.343i | 0.189414 | + | 0.541906i | ||||
\(391\) | 168.923i | 0.432028i | ||||||||
\(392\) | −3.98061 | + | 59.9379i | −0.0101546 | + | 0.152903i | ||||
\(393\) | 194.438i | 0.494753i | ||||||||
\(394\) | 275.172 | − | 453.175i | 0.698407 | − | 1.15019i | ||||
\(395\) | −191.433 | − | 157.621i | −0.484640 | − | 0.399041i | ||||
\(396\) | −117.379 | + | 61.0176i | −0.296411 | + | 0.154085i | ||||
\(397\) | 169.633i | 0.427286i | 0.976912 | + | 0.213643i | \(0.0685330\pi\) | ||||
−0.976912 | + | 0.213643i | \(0.931467\pi\) | |||||||
\(398\) | 80.9949 | − | 133.389i | 0.203505 | − | 0.335147i | ||||
\(399\) | − | 33.8175i | − | 0.0847557i | ||||||
\(400\) | 365.417 | + | 162.698i | 0.913541 | + | 0.406746i | ||||
\(401\) | 8.07776 | 0.0201441 | 0.0100720 | − | 0.999949i | \(-0.496794\pi\) | ||||
0.0100720 | + | 0.999949i | \(0.496794\pi\) | |||||||
\(402\) | 69.9811 | + | 42.4932i | 0.174082 | + | 0.105704i | ||||
\(403\) | 191.955 | 0.476314 | ||||||||
\(404\) | 302.656 | + | 582.216i | 0.749148 | + | 1.44113i | ||||
\(405\) | 139.637 | − | 169.590i | 0.344782 | − | 0.418742i | ||||
\(406\) | −164.536 | − | 99.9076i | −0.405260 | − | 0.246078i | ||||
\(407\) | −144.054 | −0.353940 | ||||||||
\(408\) | 96.5934 | + | 6.41498i | 0.236748 | + | 0.0157230i | ||||
\(409\) | −101.139 | −0.247284 | −0.123642 | − | 0.992327i | \(-0.539457\pi\) | ||||
−0.123642 | + | 0.992327i | \(0.539457\pi\) | |||||||
\(410\) | −312.275 | + | 109.150i | −0.761646 | + | 0.266221i | ||||
\(411\) | 84.9361i | 0.206657i | ||||||||
\(412\) | −24.4291 | − | 46.9940i | −0.0592939 | − | 0.114063i | ||||
\(413\) | − | 266.807i | − | 0.646021i | ||||||
\(414\) | 216.993 | + | 131.760i | 0.524137 | + | 0.318261i | ||||
\(415\) | −417.334 | + | 506.857i | −1.00563 | + | 1.22134i | ||||
\(416\) | −238.775 | − | 544.786i | −0.573978 | − | 1.30958i | ||||
\(417\) | 259.951i | 0.623385i | ||||||||
\(418\) | 32.6449 | + | 19.8223i | 0.0780978 | + | 0.0474217i | ||||
\(419\) | 598.543i | 1.42850i | 0.699889 | + | 0.714251i | \(0.253233\pi\) | ||||
−0.699889 | + | 0.714251i | \(0.746767\pi\) | |||||||
\(420\) | 151.774 | + | 32.2615i | 0.361368 | + | 0.0768130i | ||||
\(421\) | 625.523 | 1.48580 | 0.742901 | − | 0.669401i | \(-0.233449\pi\) | ||||
0.742901 | + | 0.669401i | \(0.233449\pi\) | |||||||
\(422\) | −234.018 | + | 385.399i | −0.554545 | + | 0.913269i | ||||
\(423\) | −581.757 | −1.37531 | ||||||||
\(424\) | −617.046 | − | 40.9794i | −1.45530 | − | 0.0966495i | ||||
\(425\) | 246.500 | − | 48.2072i | 0.579999 | − | 0.113429i | ||||
\(426\) | 82.4268 | − | 135.747i | 0.193490 | − | 0.318655i | ||||
\(427\) | −34.6211 | −0.0810799 | ||||||||
\(428\) | 101.700 | + | 195.640i | 0.237618 | + | 0.457102i | ||||
\(429\) | −98.0803 | −0.228625 | ||||||||
\(430\) | 730.250 | − | 255.247i | 1.69826 | − | 0.593598i | ||||
\(431\) | − | 594.626i | − | 1.37964i | −0.723980 | − | 0.689821i | \(-0.757689\pi\) | ||
0.723980 | − | 0.689821i | \(-0.242311\pi\) | |||||||
\(432\) | 183.228 | − | 261.036i | 0.424139 | − | 0.604249i | ||||
\(433\) | 263.306i | 0.608098i | 0.952656 | + | 0.304049i | \(0.0983386\pi\) | ||||
−0.952656 | + | 0.304049i | \(0.901661\pi\) | |||||||
\(434\) | 69.0492 | − | 113.716i | 0.159099 | − | 0.262017i | ||||
\(435\) | 57.1969 | − | 69.4662i | 0.131487 | − | 0.159692i | ||||
\(436\) | 237.910 | + | 457.664i | 0.545664 | + | 1.04969i | ||||
\(437\) | − | 73.2890i | − | 0.167709i | ||||||
\(438\) | −16.1527 | + | 26.6015i | −0.0368782 | + | 0.0607339i | ||||
\(439\) | − | 316.778i | − | 0.721590i | −0.932645 | − | 0.360795i | \(-0.882505\pi\) | ||
0.932645 | − | 0.360795i | \(-0.117495\pi\) | |||||||
\(440\) | −120.106 | + | 127.602i | −0.272968 | + | 0.290003i | ||||
\(441\) | 56.6858 | 0.128539 | ||||||||
\(442\) | −319.252 | − | 193.853i | −0.722290 | − | 0.438582i | ||||
\(443\) | 291.631 | 0.658309 | 0.329155 | − | 0.944276i | \(-0.393236\pi\) | ||||
0.329155 | + | 0.944276i | \(0.393236\pi\) | |||||||
\(444\) | 140.562 | − | 73.0687i | 0.316580 | − | 0.164569i | ||||
\(445\) | 464.791 | − | 564.494i | 1.04447 | − | 1.26853i | ||||
\(446\) | −364.869 | − | 221.552i | −0.818092 | − | 0.496753i | ||||
\(447\) | −294.143 | −0.658038 | ||||||||
\(448\) | −408.627 | − | 54.5162i | −0.912114 | − | 0.121688i | ||||
\(449\) | −15.5790 | −0.0346971 | −0.0173486 | − | 0.999850i | \(-0.505522\pi\) | ||||
−0.0173486 | + | 0.999850i | \(0.505522\pi\) | |||||||
\(450\) | 130.345 | − | 354.247i | 0.289655 | − | 0.787215i | ||||
\(451\) | − | 144.921i | − | 0.321332i | ||||||
\(452\) | −454.013 | + | 236.012i | −1.00445 | + | 0.522149i | ||||
\(453\) | 209.202i | 0.461815i | ||||||||
\(454\) | −57.1732 | − | 34.7161i | −0.125932 | − | 0.0764672i | ||||
\(455\) | −462.159 | − | 380.531i | −1.01573 | − | 0.836331i | ||||
\(456\) | −41.9081 | − | 2.78321i | −0.0919037 | − | 0.00610353i | ||||
\(457\) | 422.833i | 0.925237i | 0.886558 | + | 0.462618i | \(0.153090\pi\) | ||||
−0.886558 | + | 0.462618i | \(0.846910\pi\) | |||||||
\(458\) | 76.5105 | + | 46.4579i | 0.167054 | + | 0.101437i | ||||
\(459\) | − | 200.259i | − | 0.436295i | ||||||
\(460\) | 328.924 | + | 69.9168i | 0.715053 | + | 0.151993i | ||||
\(461\) | 548.488 | 1.18978 | 0.594889 | − | 0.803808i | \(-0.297196\pi\) | ||||
0.594889 | + | 0.803808i | \(0.297196\pi\) | |||||||
\(462\) | −35.2811 | + | 58.1036i | −0.0763660 | + | 0.125765i | ||||
\(463\) | 366.269 | 0.791078 | 0.395539 | − | 0.918449i | \(-0.370558\pi\) | ||||
0.395539 | + | 0.918449i | \(0.370558\pi\) | |||||||
\(464\) | −137.351 | + | 195.677i | −0.296015 | + | 0.421718i | ||||
\(465\) | 48.0102 | + | 39.5305i | 0.103248 | + | 0.0850118i | ||||
\(466\) | −223.691 | + | 368.392i | −0.480024 | + | 0.790540i | ||||
\(467\) | −223.999 | −0.479656 | −0.239828 | − | 0.970815i | \(-0.577091\pi\) | ||||
−0.239828 | + | 0.970815i | \(0.577091\pi\) | |||||||
\(468\) | −498.034 | + | 258.895i | −1.06418 | + | 0.553195i | ||||
\(469\) | −218.926 | −0.466793 | ||||||||
\(470\) | −727.451 | + | 254.268i | −1.54777 | + | 0.540997i | ||||
\(471\) | 36.2814i | 0.0770305i | ||||||||
\(472\) | −330.638 | − | 21.9584i | −0.700504 | − | 0.0465220i | ||||
\(473\) | 338.895i | 0.716480i | ||||||||
\(474\) | −62.0064 | + | 102.117i | −0.130815 | + | 0.215437i | ||||
\(475\) | −106.947 | + | 20.9152i | −0.225151 | + | 0.0440320i | ||||
\(476\) | −229.680 | + | 119.396i | −0.482522 | + | 0.250831i | ||||
\(477\) | 583.567i | 1.22341i | ||||||||
\(478\) | 317.476 | − | 522.845i | 0.664177 | − | 1.09382i | ||||
\(479\) | − | 763.448i | − | 1.59384i | −0.604087 | − | 0.796918i | \(-0.706462\pi\) | ||
0.604087 | − | 0.796918i | \(-0.293538\pi\) | |||||||
\(480\) | 52.4709 | − | 185.430i | 0.109314 | − | 0.386313i | ||||
\(481\) | −611.214 | −1.27071 | ||||||||
\(482\) | 256.238 | + | 155.590i | 0.531613 | + | 0.322801i | ||||
\(483\) | 130.445 | 0.270072 | ||||||||
\(484\) | 187.830 | + | 361.327i | 0.388078 | + | 0.746543i | ||||
\(485\) | 226.133 | + | 186.193i | 0.466254 | + | 0.383903i | ||||
\(486\) | −397.145 | − | 241.150i | −0.817170 | − | 0.496193i | ||||
\(487\) | −630.562 | −1.29479 | −0.647394 | − | 0.762155i | \(-0.724141\pi\) | ||||
−0.647394 | + | 0.762155i | \(0.724141\pi\) | |||||||
\(488\) | −2.84935 | + | 42.9039i | −0.00583883 | + | 0.0879179i | ||||
\(489\) | 121.509 | 0.248484 | ||||||||
\(490\) | 70.8822 | − | 24.7757i | 0.144657 | − | 0.0505626i | ||||
\(491\) | − | 441.165i | − | 0.898503i | −0.893405 | − | 0.449251i | \(-0.851691\pi\) | ||
0.893405 | − | 0.449251i | \(-0.148309\pi\) | |||||||
\(492\) | 73.5085 | + | 141.408i | 0.149407 | + | 0.287414i | ||||
\(493\) | 150.118i | 0.304499i | ||||||||
\(494\) | 138.511 | + | 84.1052i | 0.280387 | + | 0.170253i | ||||
\(495\) | 127.659 | + | 105.111i | 0.257897 | + | 0.212346i | ||||
\(496\) | −135.238 | − | 94.9275i | −0.272658 | − | 0.191386i | ||||
\(497\) | 424.665i | 0.854457i | ||||||||
\(498\) | 270.375 | + | 164.174i | 0.542922 | + | 0.329667i | ||||
\(499\) | 181.530i | 0.363788i | 0.983318 | + | 0.181894i | \(0.0582228\pi\) | ||||
−0.983318 | + | 0.181894i | \(0.941777\pi\) | |||||||
\(500\) | 8.15719 | − | 499.933i | 0.0163144 | − | 0.999867i | ||||
\(501\) | 190.833 | 0.380905 | ||||||||
\(502\) | −82.7367 | + | 136.257i | −0.164814 | + | 0.271429i | ||||
\(503\) | −863.536 | −1.71677 | −0.858386 | − | 0.513005i | \(-0.828532\pi\) | ||||
−0.858386 | + | 0.513005i | \(0.828532\pi\) | |||||||
\(504\) | −25.7791 | + | 388.168i | −0.0511491 | + | 0.770176i | ||||
\(505\) | 521.368 | − | 633.207i | 1.03241 | − | 1.25387i | ||||
\(506\) | −76.4609 | + | 125.922i | −0.151108 | + | 0.248857i | ||||
\(507\) | −212.600 | −0.419329 | ||||||||
\(508\) | 14.2869 | + | 27.4836i | 0.0281239 | + | 0.0541017i | ||||
\(509\) | 774.848 | 1.52229 | 0.761147 | − | 0.648579i | \(-0.224636\pi\) | ||||
0.761147 | + | 0.648579i | \(0.224636\pi\) | |||||||
\(510\) | −39.9275 | − | 114.231i | −0.0782892 | − | 0.223982i | ||||
\(511\) | − | 83.2189i | − | 0.162855i | ||||||
\(512\) | −101.189 | + | 501.901i | −0.197635 | + | 0.980276i | ||||
\(513\) | 86.8847i | 0.169366i | ||||||||
\(514\) | 116.756 | − | 192.282i | 0.227151 | − | 0.374090i | ||||
\(515\) | −42.0825 | + | 51.1097i | −0.0817137 | + | 0.0992422i | ||||
\(516\) | −171.899 | − | 330.680i | −0.333137 | − | 0.640852i | ||||
\(517\) | − | 337.596i | − | 0.652990i | ||||||
\(518\) | −219.863 | + | 362.088i | −0.424447 | + | 0.699012i | ||||
\(519\) | 63.1938i | 0.121761i | ||||||||
\(520\) | −509.606 | + | 541.408i | −0.980011 | + | 1.04117i | ||||
\(521\) | 279.159 | 0.535813 | 0.267906 | − | 0.963445i | \(-0.413668\pi\) | ||||
0.267906 | + | 0.963445i | \(0.413668\pi\) | |||||||
\(522\) | 192.837 | + | 117.092i | 0.369419 | + | 0.224315i | ||||
\(523\) | 328.355 | 0.627830 | 0.313915 | − | 0.949451i | \(-0.398359\pi\) | ||||
0.313915 | + | 0.949451i | \(0.398359\pi\) | |||||||
\(524\) | −572.946 | + | 297.837i | −1.09341 | + | 0.568391i | ||||
\(525\) | −37.2263 | − | 190.351i | −0.0709073 | − | 0.362573i | ||||
\(526\) | 682.720 | + | 414.554i | 1.29795 | + | 0.788125i | ||||
\(527\) | −103.751 | −0.196871 | ||||||||
\(528\) | 69.1008 | + | 48.5038i | 0.130873 | + | 0.0918632i | ||||
\(529\) | −246.301 | −0.465597 | ||||||||
\(530\) | 255.060 | + | 729.714i | 0.481245 | + | 1.37682i | ||||
\(531\) | 312.698i | 0.588886i | ||||||||
\(532\) | 99.6493 | − | 51.8011i | 0.187311 | − | 0.0973706i | ||||
\(533\) | − | 614.892i | − | 1.15364i | ||||||
\(534\) | −301.120 | − | 182.843i | −0.563896 | − | 0.342403i | ||||
\(535\) | 175.193 | − | 212.774i | 0.327464 | − | 0.397709i | ||||
\(536\) | −18.0178 | + | 271.302i | −0.0336153 | + | 0.506161i | ||||
\(537\) | − | 36.5596i | − | 0.0680812i | ||||||
\(538\) | 84.0559 | + | 51.0395i | 0.156238 | + | 0.0948690i | ||||
\(539\) | 32.8950i | 0.0610297i | ||||||||
\(540\) | −389.942 | − | 82.8869i | −0.722116 | − | 0.153494i | ||||
\(541\) | −520.625 | −0.962337 | −0.481169 | − | 0.876628i | \(-0.659788\pi\) | ||||
−0.481169 | + | 0.876628i | \(0.659788\pi\) | |||||||
\(542\) | 495.454 | − | 815.952i | 0.914121 | − | 1.50545i | ||||
\(543\) | −362.415 | −0.667432 | ||||||||
\(544\) | 129.057 | + | 294.456i | 0.237238 | + | 0.541279i | ||||
\(545\) | 409.833 | − | 497.747i | 0.751987 | − | 0.913296i | ||||
\(546\) | −149.696 | + | 246.531i | −0.274169 | + | 0.451523i | ||||
\(547\) | 972.376 | 1.77765 | 0.888827 | − | 0.458244i | \(-0.151521\pi\) | ||||
0.888827 | + | 0.458244i | \(0.151521\pi\) | |||||||
\(548\) | −250.279 | + | 130.104i | −0.456714 | + | 0.237416i | ||||
\(549\) | 40.5761 | 0.0739091 | ||||||||
\(550\) | 205.571 | + | 75.6394i | 0.373765 | + | 0.137526i | ||||
\(551\) | − | 65.1303i | − | 0.118204i | ||||||
\(552\) | 10.7357 | − | 161.653i | 0.0194488 | − | 0.292849i | ||||
\(553\) | − | 319.458i | − | 0.577682i | ||||||
\(554\) | 387.468 | − | 638.113i | 0.699401 | − | 1.15183i | ||||
\(555\) | −152.872 | − | 125.871i | −0.275445 | − | 0.226795i | ||||
\(556\) | −765.993 | + | 398.189i | −1.37769 | + | 0.716168i | ||||
\(557\) | − | 704.353i | − | 1.26455i | −0.774745 | − | 0.632274i | \(-0.782122\pi\) | ||
0.774745 | − | 0.632274i | \(-0.217878\pi\) | |||||||
\(558\) | −80.9259 | + | 133.275i | −0.145029 | + | 0.238844i | ||||
\(559\) | 1437.92i | 2.57230i | ||||||||
\(560\) | 137.422 | + | 496.648i | 0.245396 | + | 0.886872i | ||||
\(561\) | 53.0122 | 0.0944960 | ||||||||
\(562\) | −527.302 | − | 320.183i | −0.938260 | − | 0.569720i | ||||
\(563\) | −741.155 | −1.31644 | −0.658220 | − | 0.752826i | \(-0.728690\pi\) | ||||
−0.658220 | + | 0.752826i | \(0.728690\pi\) | |||||||
\(564\) | 171.240 | + | 329.412i | 0.303616 | + | 0.584064i | ||||
\(565\) | 493.776 | + | 406.563i | 0.873939 | + | 0.719581i | ||||
\(566\) | −305.020 | − | 185.211i | −0.538904 | − | 0.327228i | ||||
\(567\) | 283.008 | 0.499132 | ||||||||
\(568\) | 526.263 | + | 34.9503i | 0.926519 | + | 0.0615322i | ||||
\(569\) | 355.408 | 0.624618 | 0.312309 | − | 0.949980i | \(-0.398897\pi\) | ||||
0.312309 | + | 0.949980i | \(0.398897\pi\) | |||||||
\(570\) | 17.3230 | + | 49.5602i | 0.0303912 | + | 0.0869478i | ||||
\(571\) | − | 1057.10i | − | 1.85131i | −0.378364 | − | 0.925657i | \(-0.623513\pi\) | ||
0.378364 | − | 0.925657i | \(-0.376487\pi\) | |||||||
\(572\) | −150.238 | − | 289.011i | −0.262654 | − | 0.505264i | ||||
\(573\) | − | 289.295i | − | 0.504877i | ||||||
\(574\) | −364.268 | − | 221.187i | −0.634612 | − | 0.385343i | ||||
\(575\) | −80.6766 | − | 412.527i | −0.140307 | − | 0.717438i | ||||
\(576\) | 478.913 | + | 63.8932i | 0.831446 | + | 0.110926i | ||||
\(577\) | − | 270.911i | − | 0.469516i | −0.972054 | − | 0.234758i | \(-0.924570\pi\) | ||
0.972054 | − | 0.234758i | \(-0.0754297\pi\) | |||||||
\(578\) | −321.497 | − | 195.216i | −0.556224 | − | 0.337744i | ||||
\(579\) | 97.6429i | 0.168641i | ||||||||
\(580\) | 292.308 | + | 62.1335i | 0.503979 | + | 0.107127i | ||||
\(581\) | −845.831 | −1.45582 | ||||||||
\(582\) | 73.2461 | − | 120.627i | 0.125852 | − | 0.207263i | ||||
\(583\) | −338.646 | −0.580868 | ||||||||
\(584\) | −103.128 | − | 6.84898i | −0.176590 | − | 0.0117277i | ||||
\(585\) | 541.652 | + | 445.984i | 0.925901 | + | 0.762365i | ||||
\(586\) | −398.100 | + | 655.621i | −0.679351 | + | 1.11881i | ||||
\(587\) | 727.172 | 1.23879 | 0.619397 | − | 0.785078i | \(-0.287377\pi\) | ||||
0.619397 | + | 0.785078i | \(0.287377\pi\) | |||||||
\(588\) | −16.6854 | − | 32.0976i | −0.0283766 | − | 0.0545878i | ||||
\(589\) | 45.0135 | 0.0764237 | ||||||||
\(590\) | 136.671 | + | 391.010i | 0.231646 | + | 0.662729i | ||||
\(591\) | 319.284i | 0.540244i | ||||||||
\(592\) | 430.620 | + | 302.264i | 0.727398 | + | 0.510581i | ||||
\(593\) | − | 148.946i | − | 0.251174i | −0.992083 | − | 0.125587i | \(-0.959919\pi\) | ||
0.992083 | − | 0.125587i | \(-0.0400815\pi\) | |||||||
\(594\) | 90.6449 | − | 149.281i | 0.152601 | − | 0.251315i | ||||
\(595\) | 249.796 | + | 205.676i | 0.419825 | + | 0.345674i | ||||
\(596\) | −450.564 | − | 866.745i | −0.755979 | − | 1.45427i | ||||
\(597\) | 93.9788i | 0.157418i | ||||||||
\(598\) | −324.421 | + | 534.281i | −0.542509 | + | 0.893447i | ||||
\(599\) | 145.115i | 0.242262i | 0.992637 | + | 0.121131i | \(0.0386522\pi\) | ||||
−0.992637 | + | 0.121131i | \(0.961348\pi\) | |||||||
\(600\) | −238.954 | + | 30.4664i | −0.398257 | + | 0.0507773i | ||||
\(601\) | −785.811 | −1.30751 | −0.653753 | − | 0.756708i | \(-0.726807\pi\) | ||||
−0.653753 | + | 0.756708i | \(0.726807\pi\) | |||||||
\(602\) | 851.835 | + | 517.242i | 1.41501 | + | 0.859207i | ||||
\(603\) | 256.582 | 0.425509 | ||||||||
\(604\) | −616.452 | + | 320.453i | −1.02062 | + | 0.530551i | ||||
\(605\) | 323.564 | − | 392.972i | 0.534816 | − | 0.649540i | ||||
\(606\) | −337.774 | − | 205.100i | −0.557383 | − | 0.338448i | ||||
\(607\) | −383.971 | −0.632572 | −0.316286 | − | 0.948664i | \(-0.602436\pi\) | ||||
−0.316286 | + | 0.948664i | \(0.602436\pi\) | |||||||
\(608\) | −55.9929 | − | 127.753i | −0.0920936 | − | 0.210120i | ||||
\(609\) | 115.923 | 0.190350 | ||||||||
\(610\) | 50.7379 | − | 17.7346i | 0.0831769 | − | 0.0290731i | ||||
\(611\) | − | 1432.41i | − | 2.34436i | ||||||
\(612\) | 269.187 | − | 139.932i | 0.439847 | − | 0.228648i | ||||
\(613\) | 303.034i | 0.494345i | 0.968971 | + | 0.247173i | \(0.0795015\pi\) | ||||
−0.968971 | + | 0.247173i | \(0.920499\pi\) | |||||||
\(614\) | −152.401 | − | 92.5391i | −0.248209 | − | 0.150715i | ||||
\(615\) | 126.629 | − | 153.792i | 0.205900 | − | 0.250068i | ||||
\(616\) | −225.256 | − | 14.9597i | −0.365675 | − | 0.0242853i | ||||
\(617\) | − | 847.375i | − | 1.37338i | −0.726951 | − | 0.686690i | \(-0.759063\pi\) | ||
0.726951 | − | 0.686690i | \(-0.240937\pi\) | |||||||
\(618\) | 27.2637 | + | 16.5548i | 0.0441160 | + | 0.0267877i | ||||
\(619\) | 316.706i | 0.511642i | 0.966724 | + | 0.255821i | \(0.0823458\pi\) | ||||
−0.966724 | + | 0.255821i | \(0.917654\pi\) | |||||||
\(620\) | −42.9423 | + | 202.023i | −0.0692618 | + | 0.325843i | ||||
\(621\) | −335.142 | −0.539681 | ||||||||
\(622\) | 513.010 | − | 844.865i | 0.824775 | − | 1.35830i | ||||
\(623\) | 942.013 | 1.51206 | ||||||||
\(624\) | 293.192 | + | 205.800i | 0.469859 | + | 0.329807i | ||||
\(625\) | −578.953 | + | 235.454i | −0.926325 | + | 0.376726i | ||||
\(626\) | 200.505 | − | 330.208i | 0.320296 | − | 0.527488i | ||||
\(627\) | −22.9999 | −0.0366825 | ||||||||
\(628\) | −106.909 | + | 55.5752i | −0.170238 | + | 0.0884956i | ||||
\(629\) | 330.360 | 0.525214 | ||||||||
\(630\) | 459.046 | − | 160.452i | 0.728644 | − | 0.254685i | ||||
\(631\) | 319.937i | 0.507032i | 0.967331 | + | 0.253516i | \(0.0815871\pi\) | ||||
−0.967331 | + | 0.253516i | \(0.918413\pi\) | |||||||
\(632\) | −395.886 | − | 26.2917i | −0.626402 | − | 0.0416008i | ||||
\(633\) | − | 271.533i | − | 0.428962i | ||||||
\(634\) | 643.307 | − | 1059.45i | 1.01468 | − | 1.67105i | ||||
\(635\) | 24.6113 | − | 29.8907i | 0.0387579 | − | 0.0470719i | ||||
\(636\) | 330.437 | − | 171.772i | 0.519555 | − | 0.270082i | ||||
\(637\) | 139.572i | 0.219109i | ||||||||
\(638\) | −67.9490 | + | 111.904i | −0.106503 | + | 0.175398i | ||||
\(639\) | − | 497.709i | − | 0.778888i | ||||||
\(640\) | 626.777 | − | 129.424i | 0.979339 | − | 0.202225i | ||||
\(641\) | 262.847 | 0.410057 | 0.205029 | − | 0.978756i | \(-0.434271\pi\) | ||||
0.205029 | + | 0.978756i | \(0.434271\pi\) | |||||||
\(642\) | −113.501 | − | 68.9189i | −0.176793 | − | 0.107350i | ||||
\(643\) | −385.615 | −0.599713 | −0.299856 | − | 0.953984i | \(-0.596939\pi\) | ||||
−0.299856 | + | 0.953984i | \(0.596939\pi\) | |||||||
\(644\) | 199.813 | + | 384.379i | 0.310269 | + | 0.596862i | ||||
\(645\) | −296.120 | + | 359.641i | −0.459101 | + | 0.557583i | ||||
\(646\) | −74.8650 | − | 45.4587i | −0.115890 | − | 0.0703695i | ||||
\(647\) | −101.900 | −0.157496 | −0.0787482 | − | 0.996895i | \(-0.525092\pi\) | ||||
−0.0787482 | + | 0.996895i | \(0.525092\pi\) | |||||||
\(648\) | 23.2918 | − | 350.715i | 0.0359441 | − | 0.541228i | ||||
\(649\) | −181.460 | −0.279600 | ||||||||
\(650\) | 872.229 | + | 320.935i | 1.34189 | + | 0.493747i | ||||
\(651\) | 80.1182i | 0.123069i | ||||||||
\(652\) | 186.125 | + | 358.047i | 0.285468 | + | 0.549152i | ||||
\(653\) | − | 500.908i | − | 0.767088i | −0.923523 | − | 0.383544i | \(-0.874703\pi\) | ||
0.923523 | − | 0.383544i | \(-0.125297\pi\) | |||||||
\(654\) | −265.515 | − | 161.223i | −0.405987 | − | 0.246519i | ||||
\(655\) | 623.124 | + | 513.066i | 0.951335 | + | 0.783307i | ||||
\(656\) | −304.083 | + | 433.212i | −0.463542 | + | 0.660384i | ||||
\(657\) | 97.5329i | 0.148452i | ||||||||
\(658\) | −848.569 | − | 515.259i | −1.28962 | − | 0.783069i | ||||
\(659\) | − | 552.028i | − | 0.837675i | −0.908061 | − | 0.418837i | \(-0.862438\pi\) | ||
0.908061 | − | 0.418837i | \(-0.137562\pi\) | |||||||
\(660\) | 21.9416 | − | 103.225i | 0.0332449 | − | 0.156401i | ||||
\(661\) | 29.9077 | 0.0452461 | 0.0226231 | − | 0.999744i | \(-0.492798\pi\) | ||||
0.0226231 | + | 0.999744i | \(0.492798\pi\) | |||||||
\(662\) | 161.208 | − | 265.490i | 0.243517 | − | 0.401042i | ||||
\(663\) | 224.929 | 0.339259 | ||||||||
\(664\) | −69.6126 | + | 1048.19i | −0.104838 | + | 1.57860i | ||||
\(665\) | −108.377 | − | 89.2348i | −0.162972 | − | 0.134188i | ||||
\(666\) | 257.681 | − | 424.369i | 0.386908 | − | 0.637191i | ||||
\(667\) | 251.228 | 0.376654 | ||||||||
\(668\) | 292.316 | + | 562.325i | 0.437598 | + | 0.841803i | ||||
\(669\) | 257.068 | 0.384257 | ||||||||
\(670\) | 320.840 | − | 112.144i | 0.478866 | − | 0.167380i | ||||
\(671\) | 23.5465i | 0.0350916i | ||||||||
\(672\) | 227.383 | − | 99.6600i | 0.338368 | − | 0.148304i | ||||
\(673\) | 540.570i | 0.803225i | 0.915810 | + | 0.401612i | \(0.131550\pi\) | ||||
−0.915810 | + | 0.401612i | \(0.868450\pi\) | |||||||
\(674\) | −189.118 | + | 311.454i | −0.280590 | + | 0.462097i | ||||
\(675\) | 95.6427 | + | 489.053i | 0.141693 | + | 0.724524i | ||||
\(676\) | −325.657 | − | 626.464i | −0.481742 | − | 0.926722i | ||||
\(677\) | − | 257.178i | − | 0.379880i | −0.981796 | − | 0.189940i | \(-0.939171\pi\) | ||
0.981796 | − | 0.189940i | \(-0.0608293\pi\) | |||||||
\(678\) | 159.937 | − | 263.397i | 0.235896 | − | 0.388491i | ||||
\(679\) | 377.366i | 0.555767i | ||||||||
\(680\) | 275.441 | − | 292.630i | 0.405060 | − | 0.430339i | ||||
\(681\) | 40.2813 | 0.0591502 | ||||||||
\(682\) | −77.3401 | − | 46.9616i | −0.113402 | − | 0.0688587i | ||||
\(683\) | −1357.92 | −1.98817 | −0.994086 | − | 0.108593i | \(-0.965365\pi\) | ||||
−0.994086 | + | 0.108593i | \(0.965365\pi\) | |||||||
\(684\) | −116.789 | + | 60.7112i | −0.170745 | + | 0.0887590i | ||||
\(685\) | 272.199 | + | 224.122i | 0.397371 | + | 0.327186i | ||||
\(686\) | 622.256 | + | 377.840i | 0.907079 | + | 0.550787i | ||||
\(687\) | −53.9054 | −0.0784649 | ||||||||
\(688\) | 711.095 | − | 1013.06i | 1.03357 | − | 1.47247i | ||||
\(689\) | −1436.86 | −2.08543 | ||||||||
\(690\) | −191.170 | + | 66.8202i | −0.277057 | + | 0.0968408i | ||||
\(691\) | 1073.44i | 1.55346i | 0.629834 | + | 0.776730i | \(0.283123\pi\) | ||||
−0.629834 | + | 0.776730i | \(0.716877\pi\) | |||||||
\(692\) | −186.212 | + | 96.7993i | −0.269092 | + | 0.139883i | ||||
\(693\) | 213.034i | 0.307408i | ||||||||
\(694\) | 63.3728 | + | 38.4806i | 0.0913153 | + | 0.0554475i | ||||
\(695\) | 833.079 | + | 685.938i | 1.19867 | + | 0.986961i | ||||
\(696\) | 9.54060 | − | 143.657i | 0.0137078 | − | 0.206404i | ||||
\(697\) | 332.348i | 0.476827i | ||||||||
\(698\) | 417.226 | + | 253.343i | 0.597745 | + | 0.362956i | ||||
\(699\) | − | 259.550i | − | 0.371316i | ||||||
\(700\) | 503.880 | − | 401.270i | 0.719828 | − | 0.573243i | ||||
\(701\) | −543.051 | −0.774680 | −0.387340 | − | 0.921937i | \(-0.626606\pi\) | ||||
−0.387340 | + | 0.921937i | \(0.626606\pi\) | |||||||
\(702\) | 384.603 | − | 633.394i | 0.547867 | − | 0.902271i | ||||
\(703\) | −143.330 | −0.203884 | ||||||||
\(704\) | −37.0775 | + | 277.915i | −0.0526669 | + | 0.394766i | ||||
\(705\) | 294.985 | − | 358.262i | 0.418418 | − | 0.508173i | ||||
\(706\) | −50.2556 | + | 82.7648i | −0.0711835 | + | 0.117231i | ||||
\(707\) | 1056.68 | 1.49460 | ||||||||
\(708\) | 177.061 | − | 92.0426i | 0.250087 | − | 0.130004i | ||||
\(709\) | 428.058 | 0.603748 | 0.301874 | − | 0.953348i | \(-0.402388\pi\) | ||||
0.301874 | + | 0.953348i | \(0.402388\pi\) | |||||||
\(710\) | −217.534 | − | 622.355i | −0.306386 | − | 0.876556i | ||||
\(711\) | 374.407i | 0.526592i | ||||||||
\(712\) | 77.5284 | − | 1167.38i | 0.108888 | − | 1.63958i | ||||
\(713\) | 173.631i | 0.243522i | ||||||||
\(714\) | 80.9106 | − | 133.250i | 0.113320 | − | 0.186624i | ||||
\(715\) | −258.806 | + | 314.323i | −0.361967 | + | 0.439612i | ||||
\(716\) | 107.729 | − | 56.0014i | 0.150460 | − | 0.0782143i | ||||
\(717\) | 368.370i | 0.513766i | ||||||||
\(718\) | −198.939 | + | 327.629i | −0.277074 | + | 0.456308i | ||||
\(719\) | 566.186i | 0.787463i | 0.919226 | + | 0.393731i | \(0.128816\pi\) | ||||
−0.919226 | + | 0.393731i | \(0.871184\pi\) | |||||||
\(720\) | −161.059 | − | 582.074i | −0.223693 | − | 0.808436i | ||||
\(721\) | −85.2906 | −0.118295 | ||||||||
\(722\) | 32.4810 | + | 19.7228i | 0.0449875 | + | 0.0273168i | ||||
\(723\) | −180.532 | −0.249698 | ||||||||
\(724\) | −555.142 | − | 1067.92i | −0.766771 | − | 1.47503i | ||||
\(725\) | −71.6955 | − | 366.603i | −0.0988903 | − | 0.505660i | ||||
\(726\) | −209.625 | − | 127.286i | −0.288739 | − | 0.175325i | ||||
\(727\) | −1178.55 | −1.62112 | −0.810560 | − | 0.585656i | \(-0.800837\pi\) | ||||
−0.810560 | + | 0.585656i | \(0.800837\pi\) | |||||||
\(728\) | −955.751 | − | 63.4736i | −1.31285 | − | 0.0871890i | ||||
\(729\) | −115.616 | −0.158596 | ||||||||
\(730\) | 42.6287 | + | 121.959i | 0.0583955 | + | 0.167067i | ||||
\(731\) | − | 777.192i | − | 1.06319i | ||||||
\(732\) | −11.9435 | − | 22.9757i | −0.0163163 | − | 0.0313875i | ||||
\(733\) | − | 999.534i | − | 1.36362i | −0.731529 | − | 0.681810i | \(-0.761193\pi\) | ||
0.731529 | − | 0.681810i | \(-0.238807\pi\) | |||||||
\(734\) | −472.668 | − | 287.008i | −0.643961 | − | 0.391019i | ||||
\(735\) | −28.7430 | + | 34.9087i | −0.0391062 | + | 0.0474949i | ||||
\(736\) | 492.783 | − | 215.982i | 0.669543 | − | 0.293454i | ||||
\(737\) | 148.896i | 0.202029i | ||||||||
\(738\) | 426.923 | + | 259.232i | 0.578487 | + | 0.351263i | ||||
\(739\) | − | 855.820i | − | 1.15808i | −0.815300 | − | 0.579039i | \(-0.803428\pi\) | ||
0.815300 | − | 0.579039i | \(-0.196572\pi\) | |||||||
\(740\) | 136.735 | − | 643.272i | 0.184777 | − | 0.869287i | ||||
\(741\) | −97.5878 | −0.131697 | ||||||||
\(742\) | −516.863 | + | 851.210i | −0.696580 | + | 1.14718i | ||||
\(743\) | −972.675 | −1.30912 | −0.654559 | − | 0.756011i | \(-0.727146\pi\) | ||||
−0.654559 | + | 0.756011i | \(0.727146\pi\) | |||||||
\(744\) | 99.2858 | + | 6.59379i | 0.133449 | + | 0.00886263i | ||||
\(745\) | −776.160 | + | 942.655i | −1.04183 | + | 1.26531i | ||||
\(746\) | −696.594 | + | 1147.20i | −0.933772 | + | 1.53781i | ||||
\(747\) | 991.317 | 1.32706 | ||||||||
\(748\) | 81.2033 | + | 156.210i | 0.108561 | + | 0.208837i | ||||
\(749\) | 355.072 | 0.474061 | ||||||||
\(750\) | 152.063 | + | 259.894i | 0.202750 | + | 0.346525i | ||||
\(751\) | − | 1107.31i | − | 1.47445i | −0.675647 | − | 0.737225i | \(-0.736136\pi\) | ||
0.675647 | − | 0.737225i | \(-0.263864\pi\) | |||||||
\(752\) | −708.369 | + | 1009.18i | −0.941980 | + | 1.34199i | ||||
\(753\) | − | 95.9999i | − | 0.127490i | ||||||
\(754\) | −288.305 | + | 474.804i | −0.382368 | + | 0.629713i | ||||
\(755\) | 670.441 | + | 552.025i | 0.888001 | + | 0.731159i | ||||
\(756\) | −236.880 | − | 455.684i | −0.313334 | − | 0.602757i | ||||
\(757\) | − | 620.597i | − | 0.819811i | −0.912128 | − | 0.409906i | \(-0.865562\pi\) | ||
0.912128 | − | 0.409906i | \(-0.134438\pi\) | |||||||
\(758\) | −302.097 | + | 497.517i | −0.398545 | + | 0.656355i | ||||
\(759\) | − | 88.7180i | − | 0.116888i | ||||||
\(760\) | −119.503 | + | 126.961i | −0.157241 | + | 0.167054i | ||||
\(761\) | −925.617 | −1.21632 | −0.608159 | − | 0.793816i | \(-0.708092\pi\) | ||||
−0.608159 | + | 0.793816i | \(0.708092\pi\) | |||||||
\(762\) | −15.9447 | − | 9.68178i | −0.0209248 | − | 0.0127058i | ||||
\(763\) | 830.627 | 1.08863 | ||||||||
\(764\) | 852.459 | − | 443.137i | 1.11578 | − | 0.580023i | ||||
\(765\) | −292.762 | − | 241.053i | −0.382695 | − | 0.315102i | ||||
\(766\) | 103.658 | + | 62.9422i | 0.135324 | + | 0.0821700i | ||||
\(767\) | −769.928 | −1.00382 | ||||||||
\(768\) | −104.789 | − | 289.985i | −0.136444 | − | 0.377585i | ||||
\(769\) | −262.821 | −0.341770 | −0.170885 | − | 0.985291i | \(-0.554663\pi\) | ||||
−0.170885 | + | 0.985291i | \(0.554663\pi\) | |||||||
\(770\) | 93.1108 | + | 266.386i | 0.120923 | + | 0.345956i | ||||
\(771\) | 135.472i | 0.175710i | ||||||||
\(772\) | −287.722 | + | 149.568i | −0.372697 | + | 0.193741i | ||||
\(773\) | 62.4348i | 0.0807694i | 0.999184 | + | 0.0403847i | \(0.0128583\pi\) | ||||
−0.999184 | + | 0.0403847i | \(0.987142\pi\) | |||||||
\(774\) | −998.354 | − | 606.210i | −1.28986 | − | 0.783217i | ||||
\(775\) | 253.371 | − | 49.5509i | 0.326930 | − | 0.0639367i | ||||
\(776\) | 467.647 | + | 31.0575i | 0.602638 | + | 0.0400226i | ||||
\(777\) | − | 255.109i | − | 0.328325i | ||||||
\(778\) | −743.760 | − | 451.618i | −0.955989 | − | 0.580486i | ||||
\(779\) | − | 144.193i | − | 0.185100i | ||||||
\(780\) | 93.0975 | − | 437.978i | 0.119356 | − | 0.561511i | ||||
\(781\) | 288.823 | 0.369811 | ||||||||
\(782\) | 175.349 | − | 288.778i | 0.224231 | − | 0.369281i | ||||
\(783\) | −297.833 | −0.380374 | ||||||||
\(784\) | 69.0228 | − | 98.3332i | 0.0880393 | − | 0.125425i | ||||
\(785\) | 116.273 | + | 95.7362i | 0.148118 | + | 0.121957i | ||||
\(786\) | 201.834 | − | 332.396i | 0.256786 | − | 0.422896i | ||||
\(787\) | −703.356 | −0.893718 | −0.446859 | − | 0.894605i | \(-0.647457\pi\) | ||||
−0.446859 | + | 0.894605i | \(0.647457\pi\) | |||||||
\(788\) | −940.828 | + | 489.074i | −1.19394 | + | 0.620653i | ||||
\(789\) | −481.009 | −0.609644 | ||||||||
\(790\) | 163.642 | + | 468.173i | 0.207142 | + | 0.592623i | ||||
\(791\) | 824.000i | 1.04172i | ||||||||
\(792\) | 264.001 | + | 17.5329i | 0.333334 | + | 0.0221375i | ||||
\(793\) | 99.9068i | 0.125986i | ||||||||
\(794\) | 176.085 | − | 289.991i | 0.221770 | − | 0.365228i | ||||
\(795\) | −359.377 | − | 295.902i | −0.452046 | − | 0.372204i | ||||
\(796\) | −276.925 | + | 143.955i | −0.347896 | + | 0.180848i | ||||
\(797\) | 594.908i | 0.746435i | 0.927744 | + | 0.373217i | \(0.121745\pi\) | ||||
−0.927744 | + | 0.373217i | \(0.878255\pi\) | |||||||
\(798\) | −35.1039 | + | 57.8119i | −0.0439899 | + | 0.0724459i | ||||
\(799\) | 774.213i | 0.968977i | ||||||||
\(800\) | −455.801 | − | 657.454i | −0.569752 | − | 0.821817i | ||||
\(801\) | −1104.04 | −1.37833 | ||||||||
\(802\) | −13.8091 | − | 8.38504i | −0.0172184 | − | 0.0104552i | ||||
\(803\) | −56.5987 | −0.0704841 | ||||||||
\(804\) | −75.5248 | − | 145.286i | −0.0939363 | − | 0.180704i | ||||
\(805\) | 344.207 | − | 418.043i | 0.427586 | − | 0.519308i | ||||
\(806\) | −328.151 | − | 199.256i | −0.407135 | − | 0.247216i | ||||
\(807\) | −59.2215 | −0.0733848 | ||||||||
\(808\) | 86.9656 | − | 1309.48i | 0.107631 | − | 1.62064i | ||||
\(809\) | 1546.99 | 1.91222 | 0.956112 | − | 0.293001i | \(-0.0946538\pi\) | ||||
0.956112 | + | 0.293001i | \(0.0946538\pi\) | |||||||
\(810\) | −414.754 | + | 144.970i | −0.512042 | + | 0.178976i | ||||
\(811\) | − | 1456.80i | − | 1.79630i | −0.439686 | − | 0.898152i | \(-0.644910\pi\) | ||
0.439686 | − | 0.898152i | \(-0.355090\pi\) | |||||||
\(812\) | 177.570 | + | 341.589i | 0.218682 | + | 0.420676i | ||||
\(813\) | 574.878i | 0.707107i | ||||||||
\(814\) | 246.263 | + | 149.533i | 0.302534 | + | 0.183702i | ||||
\(815\) | 320.627 | − | 389.405i | 0.393407 | − | 0.477797i | ||||
\(816\) | −158.470 | − | 111.234i | −0.194203 | − | 0.136317i | ||||
\(817\) | 337.193i | 0.412721i | ||||||||
\(818\) | 172.900 | + | 104.986i | 0.211369 | + | 0.128345i | ||||
\(819\) | 903.895i | 1.10366i | ||||||||
\(820\) | 647.144 | + | 137.558i | 0.789200 | + | 0.167754i | ||||
\(821\) | 576.233 | 0.701867 | 0.350934 | − | 0.936400i | \(-0.385864\pi\) | ||||
0.350934 | + | 0.936400i | \(0.385864\pi\) | |||||||
\(822\) | 88.1671 | − | 145.200i | 0.107259 | − | 0.176643i | ||||
\(823\) | −12.5467 | −0.0152451 | −0.00762255 | − | 0.999971i | \(-0.502426\pi\) | ||||
−0.00762255 | + | 0.999971i | \(0.502426\pi\) | |||||||
\(824\) | −7.01949 | + | 105.696i | −0.00851880 | + | 0.128271i | ||||
\(825\) | −129.461 | + | 25.3183i | −0.156923 | + | 0.0306889i | ||||
\(826\) | −276.956 | + | 456.112i | −0.335297 | + | 0.552194i | ||||
\(827\) | −1258.03 | −1.52120 | −0.760600 | − | 0.649221i | \(-0.775095\pi\) | ||||
−0.760600 | + | 0.649221i | \(0.775095\pi\) | |||||||
\(828\) | −234.182 | − | 450.494i | −0.282829 | − | 0.544075i | ||||
\(829\) | 592.821 | 0.715104 | 0.357552 | − | 0.933893i | \(-0.383611\pi\) | ||||
0.357552 | + | 0.933893i | \(0.383611\pi\) | |||||||
\(830\) | 1239.58 | − | 433.275i | 1.49347 | − | 0.522018i | ||||
\(831\) | 449.582i | 0.541013i | ||||||||
\(832\) | −157.318 | + | 1179.18i | −0.189084 | + | 1.41729i | ||||
\(833\) | − | 75.4386i | − | 0.0905625i | ||||||
\(834\) | 269.840 | − | 444.393i | 0.323549 | − | 0.532846i | ||||
\(835\) | 503.555 | − | 611.573i | 0.603060 | − | 0.732423i | ||||
\(836\) | −35.2309 | − | 67.7734i | −0.0421423 | − | 0.0810686i | ||||
\(837\) | − | 205.841i | − | 0.245928i | ||||||
\(838\) | 621.311 | − | 1023.22i | 0.741421 | − | 1.22103i | ||||
\(839\) | − | 1194.78i | − | 1.42405i | −0.702152 | − | 0.712027i | \(-0.747777\pi\) | ||
0.702152 | − | 0.712027i | \(-0.252223\pi\) | |||||||
\(840\) | −225.974 | − | 212.700i | −0.269016 | − | 0.253214i | ||||
\(841\) | −617.739 | −0.734529 | ||||||||
\(842\) | −1069.35 | − | 649.317i | −1.27001 | − | 0.771161i | ||||
\(843\) | 371.510 | 0.440700 | ||||||||
\(844\) | 800.120 | − | 415.930i | 0.948009 | − | 0.492808i | ||||
\(845\) | −560.991 | + | 681.330i | −0.663895 | + | 0.806307i | ||||
\(846\) | 994.527 | + | 603.886i | 1.17556 | + | 0.713814i | ||||
\(847\) | 655.781 | 0.774240 | ||||||||
\(848\) | 1012.32 | + | 710.573i | 1.19377 | + | 0.837940i | ||||
\(849\) | 214.901 | 0.253123 | ||||||||
\(850\) | −471.438 | − | 173.465i | −0.554633 | − | 0.204076i | ||||
\(851\) | − | 552.870i | − | 0.649671i | ||||||
\(852\) | −281.821 | + | 146.500i | −0.330776 | + | 0.171949i | ||||
\(853\) | 566.396i | 0.664005i | 0.943279 | + | 0.332002i | \(0.107724\pi\) | ||||
−0.943279 | + | 0.332002i | \(0.892276\pi\) | |||||||
\(854\) | 59.1857 | + | 35.9381i | 0.0693040 | + | 0.0420821i | ||||
\(855\) | 127.018 | + | 104.584i | 0.148559 | + | 0.122320i | ||||
\(856\) | 29.2227 | − | 440.020i | 0.0341387 | − | 0.514042i | ||||
\(857\) | − | 1029.47i | − | 1.20125i | −0.799530 | − | 0.600626i | \(-0.794918\pi\) | ||
0.799530 | − | 0.600626i | \(-0.205082\pi\) | |||||||
\(858\) | 167.671 | + | 101.811i | 0.195420 | + | 0.118661i | ||||
\(859\) | − | 274.430i | − | 0.319476i | −0.987159 | − | 0.159738i | \(-0.948935\pi\) | ||
0.987159 | − | 0.159738i | \(-0.0510650\pi\) | |||||||
\(860\) | −1513.34 | − | 321.678i | −1.75969 | − | 0.374044i | ||||
\(861\) | 256.644 | 0.298077 | ||||||||
\(862\) | −617.245 | + | 1016.53i | −0.716062 | + | 1.17927i | ||||
\(863\) | 1475.75 | 1.71002 | 0.855012 | − | 0.518608i | \(-0.173550\pi\) | ||||
0.855012 | + | 0.518608i | \(0.173550\pi\) | |||||||
\(864\) | −584.198 | + | 256.049i | −0.676156 | + | 0.296353i | ||||
\(865\) | 202.520 | + | 166.751i | 0.234128 | + | 0.192775i | ||||
\(866\) | 273.322 | − | 450.129i | 0.315615 | − | 0.519779i | ||||
\(867\) | 226.511 | 0.261258 | ||||||||
\(868\) | −236.083 | + | 122.724i | −0.271984 | + | 0.141387i | ||||
\(869\) | −217.270 | −0.250023 | ||||||||
\(870\) | −169.888 | + | 59.3816i | −0.195274 | + | 0.0682547i | ||||
\(871\) | 631.758i | 0.725325i | ||||||||
\(872\) | 68.3613 | − | 1029.35i | 0.0783960 | − | 1.18044i | ||||
\(873\) | − | 442.274i | − | 0.506614i | ||||||
\(874\) | −76.0769 | + | 125.289i | −0.0870445 | + | 0.143352i | ||||
\(875\) | −708.256 | − | 382.981i | −0.809436 | − | 0.437692i | ||||
\(876\) | 55.2267 | − | 28.7087i | 0.0630442 | − | 0.0327725i | ||||
\(877\) | 1390.07i | 1.58503i | 0.609851 | + | 0.792516i | \(0.291229\pi\) | ||||
−0.609851 | + | 0.792516i | \(0.708771\pi\) | |||||||
\(878\) | −328.828 | + | 541.540i | −0.374520 | + | 0.616788i | ||||
\(879\) | − | 461.917i | − | 0.525503i | ||||||
\(880\) | 337.780 | − | 93.4630i | 0.383841 | − | 0.106208i | ||||
\(881\) | 601.667 | 0.682936 | 0.341468 | − | 0.939893i | \(-0.389076\pi\) | ||||
0.341468 | + | 0.939893i | \(0.389076\pi\) | |||||||
\(882\) | −96.9058 | − | 58.8421i | −0.109871 | − | 0.0667144i | ||||
\(883\) | 822.025 | 0.930946 | 0.465473 | − | 0.885062i | \(-0.345884\pi\) | ||||
0.465473 | + | 0.885062i | \(0.345884\pi\) | |||||||
\(884\) | 344.543 | + | 662.793i | 0.389754 | + | 0.749766i | ||||
\(885\) | −192.568 | − | 158.556i | −0.217592 | − | 0.179160i | ||||
\(886\) | −498.550 | − | 302.724i | −0.562698 | − | 0.341675i | ||||
\(887\) | 1146.80 | 1.29289 | 0.646446 | − | 0.762959i | \(-0.276254\pi\) | ||||
0.646446 | + | 0.762959i | \(0.276254\pi\) | |||||||
\(888\) | −316.142 | − | 20.9957i | −0.356015 | − | 0.0236438i | ||||
\(889\) | 49.8808 | 0.0561089 | ||||||||
\(890\) | −1380.54 | + | 482.544i | −1.55117 | + | 0.542185i | ||||
\(891\) | − | 192.479i | − | 0.216026i | ||||||
\(892\) | 393.773 | + | 757.497i | 0.441450 | + | 0.849212i | ||||
\(893\) | − | 335.900i | − | 0.376148i | ||||||
\(894\) | 502.845 | + | 305.332i | 0.562466 | + | 0.341535i | ||||
\(895\) | −117.164 | − | 96.4704i | −0.130910 | − | 0.107788i | ||||
\(896\) | 641.968 | + | 517.368i | 0.716482 | + | 0.577420i | ||||
\(897\) | − | 376.427i | − | 0.419651i | ||||||
\(898\) | 26.6327 | + | 16.1716i | 0.0296578 | + | 0.0180085i | ||||
\(899\) | 154.302i | 0.171638i | ||||||||
\(900\) | −590.549 | + | 470.291i | −0.656166 | + | 0.522545i | ||||
\(901\) | 776.622 | 0.861955 | ||||||||
\(902\) | −150.433 | + | 247.745i | −0.166777 | + | 0.274662i | ||||
\(903\) | −600.159 | −0.664628 | ||||||||
\(904\) | 1021.14 | + | 67.8159i | 1.12957 | + | 0.0750176i | ||||
\(905\) | −956.312 | + | 1161.45i | −1.05670 | + | 1.28337i | ||||
\(906\) | 217.160 | − | 357.636i | 0.239691 | − | 0.394742i | ||||
\(907\) | −329.375 | −0.363148 | −0.181574 | − | 0.983377i | \(-0.558119\pi\) | ||||
−0.181574 | + | 0.983377i | \(0.558119\pi\) | |||||||
\(908\) | 61.7023 | + | 118.696i | 0.0679541 | + | 0.130723i | ||||
\(909\) | −1238.43 | −1.36241 | ||||||||
\(910\) | 395.066 | + | 1130.27i | 0.434138 | + | 1.24205i | ||||
\(911\) | 1242.65i | 1.36405i | 0.731327 | + | 0.682027i | \(0.238901\pi\) | ||||
−0.731327 | + | 0.682027i | \(0.761099\pi\) | |||||||
\(912\) | 68.7538 | + | 48.2602i | 0.0753879 | + | 0.0529169i | ||||
\(913\) | 575.265i | 0.630082i | ||||||||
\(914\) | 438.917 | − | 722.844i | 0.480216 | − | 0.790857i | ||||
\(915\) | −20.5745 | + | 24.9879i | −0.0224858 | + | 0.0273092i | ||||
\(916\) | −82.5715 | − | 158.842i | −0.0901435 | − | 0.173408i | ||||
\(917\) | 1039.85i | 1.13397i | ||||||||
\(918\) | −207.877 | + | 342.348i | −0.226446 | + | 0.372929i | ||||
\(919\) | 1254.84i | 1.36544i | 0.730682 | + | 0.682718i | \(0.239202\pi\) | ||||
−0.730682 | + | 0.682718i | \(0.760798\pi\) | |||||||
\(920\) | −489.728 | − | 460.961i | −0.532313 | − | 0.501045i | ||||
\(921\) | 107.374 | 0.116584 | ||||||||
\(922\) | −937.654 | − | 569.352i | −1.01698 | − | 0.617519i | ||||
\(923\) | 1225.46 | 1.32770 | ||||||||
\(924\) | 120.628 | − | 62.7064i | 0.130549 | − | 0.0678641i | ||||
\(925\) | −806.771 | + | 157.778i | −0.872185 | + | 0.170571i | ||||
\(926\) | −626.146 | − | 380.202i | −0.676184 | − | 0.410585i | ||||
\(927\) | 99.9610 | 0.107833 | ||||||||
\(928\) | 437.926 | − | 191.939i | 0.471903 | − | 0.206831i | ||||
\(929\) | 1699.39 | 1.82927 | 0.914635 | − | 0.404281i | \(-0.132478\pi\) | ||||
0.914635 | + | 0.404281i | \(0.132478\pi\) | |||||||
\(930\) | −41.0404 | − | 117.415i | −0.0441295 | − | 0.126252i | ||||
\(931\) | 32.7298i | 0.0351556i | ||||||||
\(932\) | 764.810 | − | 397.575i | 0.820612 | − | 0.426582i | ||||
\(933\) | 595.249i | 0.637994i | ||||||||
\(934\) | 382.932 | + | 232.520i | 0.409992 | + | 0.248951i | ||||
\(935\) | 139.884 | − | 169.891i | 0.149609 | − | 0.181702i | ||||
\(936\) | 1120.14 | + | 74.3913i | 1.19674 | + | 0.0794779i | ||||
\(937\) | 80.2211i | 0.0856148i | 0.999083 | + | 0.0428074i | \(0.0136302\pi\) | ||||
−0.999083 | + | 0.0428074i | \(0.986370\pi\) | |||||||
\(938\) | 374.259 | + | 227.254i | 0.398997 | + | 0.242275i | ||||
\(939\) | 232.648i | 0.247761i | ||||||||
\(940\) | 1507.54 | + | 320.445i | 1.60376 | + | 0.340899i | ||||
\(941\) | −1490.89 | −1.58437 | −0.792185 | − | 0.610281i | \(-0.791057\pi\) | ||||
−0.792185 | + | 0.610281i | \(0.791057\pi\) | |||||||
\(942\) | 37.6615 | − | 62.0239i | 0.0399803 | − | 0.0658427i | ||||
\(943\) | 556.197 | 0.589817 | ||||||||
\(944\) | 542.440 | + | 380.753i | 0.574618 | + | 0.403341i | ||||
\(945\) | −408.060 | + | 495.593i | −0.431810 | + | 0.524437i | ||||
\(946\) | 351.786 | − | 579.349i | 0.371867 | − | 0.612420i | ||||
\(947\) | −641.294 | −0.677184 | −0.338592 | − | 0.940933i | \(-0.609951\pi\) | ||||
−0.338592 | + | 0.940933i | \(0.609951\pi\) | |||||||
\(948\) | 212.003 | − | 110.206i | 0.223632 | − | 0.116251i | ||||
\(949\) | −240.146 | −0.253052 | ||||||||
\(950\) | 204.538 | + | 75.2596i | 0.215304 | + | 0.0792207i | ||||
\(951\) | 746.433i | 0.784893i | ||||||||
\(952\) | 516.582 | + | 34.3074i | 0.542628 | + | 0.0360372i | ||||
\(953\) | 1570.96i | 1.64844i | 0.566273 | + | 0.824218i | \(0.308385\pi\) | ||||
−0.566273 | + | 0.824218i | \(0.691615\pi\) | |||||||
\(954\) | 605.765 | − | 997.622i | 0.634974 | − | 1.04572i | ||||
\(955\) | −927.117 | − | 763.367i | −0.970803 | − | 0.799337i | ||||
\(956\) | −1085.47 | + | 564.263i | −1.13543 | + | 0.590234i | ||||
\(957\) | − | 78.8417i | − | 0.0823842i | ||||||
\(958\) | −792.489 | + | 1305.13i | −0.827233 | + | 1.36235i | ||||
\(959\) | 454.239i | 0.473659i | ||||||||
\(960\) | −282.184 | + | 262.530i | −0.293942 | + | 0.273469i | ||||
\(961\) | 854.357 | 0.889029 | ||||||||
\(962\) | 1044.88 | + | 634.464i | 1.08616 | + | 0.659526i | ||||
\(963\) | −416.146 | −0.432135 | ||||||||
\(964\) | −276.536 | − | 531.970i | −0.286863 | − | 0.551836i | ||||
\(965\) | 312.921 | + | 257.652i | 0.324270 | + | 0.266997i | ||||
\(966\) | −222.999 | − | 135.407i | −0.230848 | − | 0.140173i | ||||
\(967\) | −549.309 | −0.568055 | −0.284028 | − | 0.958816i | \(-0.591671\pi\) | ||||
−0.284028 | + | 0.958816i | \(0.591671\pi\) | |||||||
\(968\) | 53.9714 | − | 812.672i | 0.0557555 | − | 0.839537i | ||||
\(969\) | 52.7460 | 0.0544335 | ||||||||
\(970\) | −193.305 | − | 553.037i | −0.199283 | − | 0.570141i | ||||
\(971\) | 1755.93i | 1.80837i | 0.427136 | + | 0.904187i | \(0.359522\pi\) | ||||
−0.427136 | + | 0.904187i | \(0.640478\pi\) | |||||||
\(972\) | 428.605 | + | 824.504i | 0.440952 | + | 0.848255i | ||||
\(973\) | 1390.22i | 1.42880i | ||||||||
\(974\) | 1077.96 | + | 654.548i | 1.10674 | + | 0.672021i | ||||
\(975\) | −549.299 | + | 107.425i | −0.563383 | + | 0.110179i | ||||
\(976\) | 49.4070 | − | 70.3876i | 0.0506219 | − | 0.0721184i | ||||
\(977\) | − | 993.873i | − | 1.01727i | −0.860982 | − | 0.508635i | \(-0.830150\pi\) | ||
0.860982 | − | 0.508635i | \(-0.169850\pi\) | |||||||
\(978\) | −207.722 | − | 126.131i | −0.212395 | − | 0.128968i | ||||
\(979\) | − | 640.681i | − | 0.654423i | ||||||
\(980\) | −146.893 | − | 31.2238i | −0.149891 | − | 0.0318611i | ||||
\(981\) | −973.498 | −0.992353 | ||||||||
\(982\) | −457.946 | + | 754.182i | −0.466341 | + | 0.768006i | ||||
\(983\) | 237.419 | 0.241525 | 0.120763 | − | 0.992681i | \(-0.461466\pi\) | ||||
0.120763 | + | 0.992681i | \(0.461466\pi\) | |||||||
\(984\) | 21.1220 | − | 318.044i | 0.0214655 | − | 0.323216i | ||||
\(985\) | 1023.23 | + | 842.500i | 1.03881 | + | 0.855330i | ||||
\(986\) | 155.828 | − | 256.630i | 0.158041 | − | 0.260274i | ||||
\(987\) | 597.859 | 0.605733 | ||||||||
\(988\) | −149.483 | − | 287.560i | −0.151299 | − | 0.291052i | ||||
\(989\) | −1300.66 | −1.31513 | ||||||||
\(990\) | −109.126 | − | 312.206i | −0.110229 | − | 0.315359i | ||||
\(991\) | 235.754i | 0.237895i | 0.992901 | + | 0.118948i | \(0.0379520\pi\) | ||||
−0.992901 | + | 0.118948i | \(0.962048\pi\) | |||||||
\(992\) | 132.655 | + | 302.664i | 0.133724 | + | 0.305104i | ||||
\(993\) | 187.051i | 0.188369i | ||||||||
\(994\) | 440.819 | − | 725.975i | 0.443480 | − | 0.730357i | ||||
\(995\) | 301.179 | + | 247.983i | 0.302692 | + | 0.249230i | ||||
\(996\) | −291.794 | − | 561.320i | −0.292965 | − | 0.563575i | ||||
\(997\) | − | 1880.76i | − | 1.88642i | −0.332202 | − | 0.943208i | \(-0.607792\pi\) | ||
0.332202 | − | 0.943208i | \(-0.392208\pi\) | |||||||
\(998\) | 188.436 | − | 310.331i | 0.188813 | − | 0.310952i | ||||
\(999\) | 655.431i | 0.656088i |
(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 | 380.3.h.a.39.17 | ✓ | 108 | |
4.3 | odd | 2 | inner | 380.3.h.a.39.91 | yes | 108 | |
5.4 | even | 2 | inner | 380.3.h.a.39.92 | yes | 108 | |
20.19 | odd | 2 | inner | 380.3.h.a.39.18 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.3.h.a.39.17 | ✓ | 108 | 1.1 | even | 1 | trivial | |
380.3.h.a.39.18 | yes | 108 | 20.19 | odd | 2 | inner | |
380.3.h.a.39.91 | yes | 108 | 4.3 | odd | 2 | inner | |
380.3.h.a.39.92 | yes | 108 | 5.4 | even | 2 | inner |