Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(99,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.v (of order \(18\), degree \(6\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 289.3 | ||
Character | \(\chi\) | \(=\) | 370.289 |
Dual form | 370.2.v.a.169.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −0.691797 | + | 1.90070i | −0.399409 | + | 1.09737i | 0.563164 | + | 0.826345i | \(0.309584\pi\) |
−0.962573 | + | 0.271023i | \(0.912638\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 1.64652 | + | 1.51294i | 0.736344 | + | 0.676607i | ||||
\(6\) | − | 2.02268i | − | 0.825756i | ||||||
\(7\) | −2.30206 | + | 0.405916i | −0.870098 | + | 0.153422i | −0.590834 | − | 0.806793i | \(-0.701201\pi\) |
−0.279263 | + | 0.960215i | \(0.590090\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −0.835934 | − | 0.701432i | −0.278645 | − | 0.233811i | ||||
\(10\) | −2.06467 | − | 0.858556i | −0.652907 | − | 0.271499i | ||||
\(11\) | −2.82024 | + | 4.88479i | −0.850333 | + | 1.47282i | 0.0305753 | + | 0.999532i | \(0.490266\pi\) |
−0.880908 | + | 0.473287i | \(0.843067\pi\) | |||||||
\(12\) | 0.691797 | + | 1.90070i | 0.199705 | + | 0.548684i | ||||
\(13\) | 3.98903 | − | 3.34720i | 1.10636 | − | 0.928345i | 0.108523 | − | 0.994094i | \(-0.465388\pi\) |
0.997836 | + | 0.0657485i | \(0.0209435\pi\) | |||||||
\(14\) | 2.02440 | − | 1.16879i | 0.541044 | − | 0.312372i | ||||
\(15\) | −4.01470 | + | 2.08288i | −1.03659 | + | 0.537798i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −0.926095 | − | 0.777086i | −0.224611 | − | 0.188471i | 0.523537 | − | 0.852003i | \(-0.324612\pi\) |
−0.748148 | + | 0.663532i | \(0.769057\pi\) | |||||||
\(18\) | 1.02543 | + | 0.373224i | 0.241695 | + | 0.0879698i | ||||
\(19\) | −1.34363 | + | 3.69159i | −0.308249 | + | 0.846908i | 0.684749 | + | 0.728779i | \(0.259912\pi\) |
−0.992998 | + | 0.118129i | \(0.962310\pi\) | |||||||
\(20\) | 2.23380 | + | 0.100618i | 0.499494 | + | 0.0224989i | ||||
\(21\) | 0.821038 | − | 4.65634i | 0.179165 | − | 1.01610i | ||||
\(22\) | 0.979457 | − | 5.55478i | 0.208821 | − | 1.18428i | ||||
\(23\) | −0.958088 | − | 1.65946i | −0.199775 | − | 0.346021i | 0.748680 | − | 0.662931i | \(-0.230688\pi\) |
−0.948455 | + | 0.316910i | \(0.897355\pi\) | |||||||
\(24\) | −1.30015 | − | 1.54946i | −0.265393 | − | 0.316283i | ||||
\(25\) | 0.422031 | + | 4.98216i | 0.0844062 | + | 0.996431i | ||||
\(26\) | −2.60366 | + | 4.50967i | −0.510619 | + | 0.884418i | ||||
\(27\) | −3.34357 | + | 1.93041i | −0.643470 | + | 0.371508i | ||||
\(28\) | −1.50256 | + | 1.79069i | −0.283958 | + | 0.338408i | ||||
\(29\) | −0.455623 | − | 0.263054i | −0.0846070 | − | 0.0488479i | 0.457100 | − | 0.889416i | \(-0.348888\pi\) |
−0.541707 | + | 0.840568i | \(0.682222\pi\) | |||||||
\(30\) | 3.06019 | − | 3.33038i | 0.558712 | − | 0.608041i | ||||
\(31\) | − | 9.66606i | − | 1.73608i | −0.496499 | − | 0.868038i | \(-0.665381\pi\) | ||
0.496499 | − | 0.868038i | \(-0.334619\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −7.33348 | − | 8.73970i | −1.27659 | − | 1.52139i | ||||
\(34\) | 1.13602 | + | 0.413479i | 0.194826 | + | 0.0709110i | ||||
\(35\) | −4.40451 | − | 2.81453i | −0.744498 | − | 0.475743i | ||||
\(36\) | −1.09123 | −0.181872 | ||||||||
\(37\) | −5.96951 | + | 1.16831i | −0.981382 | + | 0.192068i | ||||
\(38\) | − | 3.92850i | − | 0.637288i | ||||||
\(39\) | 3.60241 | + | 9.89753i | 0.576847 | + | 1.58487i | ||||
\(40\) | −2.13350 | + | 0.669455i | −0.337336 | + | 0.105850i | ||||
\(41\) | −7.68393 | + | 6.44758i | −1.20003 | + | 1.00694i | −0.200399 | + | 0.979714i | \(0.564224\pi\) |
−0.999629 | + | 0.0272284i | \(0.991332\pi\) | |||||||
\(42\) | 0.821038 | + | 4.65634i | 0.126689 | + | 0.718488i | ||||
\(43\) | 0.375668 | 0.0572889 | 0.0286444 | − | 0.999590i | \(-0.490881\pi\) | ||||
0.0286444 | + | 0.999590i | \(0.490881\pi\) | |||||||
\(44\) | 0.979457 | + | 5.55478i | 0.147659 | + | 0.837414i | ||||
\(45\) | −0.315155 | − | 2.41964i | −0.0469806 | − | 0.360698i | ||||
\(46\) | 1.46788 | + | 1.23169i | 0.216427 | + | 0.181603i | ||||
\(47\) | 0.377481 | − | 0.217939i | 0.0550612 | − | 0.0317896i | −0.472217 | − | 0.881483i | \(-0.656546\pi\) |
0.527278 | + | 0.849693i | \(0.323213\pi\) | |||||||
\(48\) | 1.75169 | + | 1.01134i | 0.252835 | + | 0.145974i | ||||
\(49\) | −1.44312 | + | 0.525254i | −0.206161 | + | 0.0750363i | ||||
\(50\) | −2.10058 | − | 4.53735i | −0.297067 | − | 0.641679i | ||||
\(51\) | 2.11768 | − | 1.22264i | 0.296534 | − | 0.171204i | ||||
\(52\) | 0.904241 | − | 5.12820i | 0.125396 | − | 0.711154i | ||||
\(53\) | 12.1020 | + | 2.13392i | 1.66234 | + | 0.293116i | 0.924308 | − | 0.381647i | \(-0.124643\pi\) |
0.738034 | + | 0.674763i | \(0.235754\pi\) | |||||||
\(54\) | 2.48169 | − | 2.95756i | 0.337715 | − | 0.402473i | ||||
\(55\) | −12.0340 | + | 3.77604i | −1.62266 | + | 0.509161i | ||||
\(56\) | 0.799498 | − | 2.19660i | 0.106837 | − | 0.293533i | ||||
\(57\) | −6.08707 | − | 5.10766i | −0.806252 | − | 0.676526i | ||||
\(58\) | 0.518115 | + | 0.0913577i | 0.0680318 | + | 0.0119958i | ||||
\(59\) | 14.5104 | + | 2.55858i | 1.88910 | + | 0.333099i | 0.993691 | − | 0.112152i | \(-0.0357742\pi\) |
0.895406 | + | 0.445250i | \(0.146885\pi\) | |||||||
\(60\) | −1.73658 | + | 4.17618i | −0.224192 | + | 0.539142i | ||||
\(61\) | −2.21786 | − | 2.64314i | −0.283968 | − | 0.338420i | 0.605139 | − | 0.796120i | \(-0.293118\pi\) |
−0.889107 | + | 0.457700i | \(0.848673\pi\) | |||||||
\(62\) | 3.30599 | + | 9.08312i | 0.419861 | + | 1.15356i | ||||
\(63\) | 2.20910 | + | 1.27542i | 0.278320 | + | 0.160688i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 11.6321 | + | 0.523951i | 1.44279 | + | 0.0649882i | ||||
\(66\) | 9.88037 | + | 5.70443i | 1.21619 | + | 0.702167i | ||||
\(67\) | 9.61386 | − | 1.69518i | 1.17452 | − | 0.207099i | 0.447864 | − | 0.894102i | \(-0.352185\pi\) |
0.726655 | + | 0.687002i | \(0.241074\pi\) | |||||||
\(68\) | −1.20893 | −0.146604 | ||||||||
\(69\) | 3.81693 | − | 0.673028i | 0.459504 | − | 0.0810230i | ||||
\(70\) | 5.10151 | + | 1.13837i | 0.609747 | + | 0.136061i | ||||
\(71\) | 3.37890 | + | 1.22982i | 0.401001 | + | 0.145953i | 0.534645 | − | 0.845077i | \(-0.320445\pi\) |
−0.133643 | + | 0.991029i | \(0.542668\pi\) | |||||||
\(72\) | 1.02543 | − | 0.373224i | 0.120848 | − | 0.0439849i | ||||
\(73\) | 13.4857i | 1.57838i | 0.614149 | + | 0.789190i | \(0.289500\pi\) | ||||
−0.614149 | + | 0.789190i | \(0.710500\pi\) | |||||||
\(74\) | 5.20992 | − | 3.13954i | 0.605641 | − | 0.364964i | ||||
\(75\) | −9.76153 | − | 2.64449i | −1.12716 | − | 0.305359i | ||||
\(76\) | 1.34363 | + | 3.69159i | 0.154125 | + | 0.423454i | ||||
\(77\) | 4.50954 | − | 12.3899i | 0.513910 | − | 1.41196i | ||||
\(78\) | −6.77031 | − | 8.06854i | −0.766587 | − | 0.913582i | ||||
\(79\) | 7.01369 | − | 1.23670i | 0.789102 | − | 0.139140i | 0.235448 | − | 0.971887i | \(-0.424344\pi\) |
0.553654 | + | 0.832747i | \(0.313233\pi\) | |||||||
\(80\) | 1.77587 | − | 1.35878i | 0.198548 | − | 0.151917i | ||||
\(81\) | −1.92453 | − | 10.9145i | −0.213836 | − | 1.21273i | ||||
\(82\) | 5.01533 | − | 8.68680i | 0.553850 | − | 0.959297i | ||||
\(83\) | −5.25578 | + | 6.26360i | −0.576897 | + | 0.687519i | −0.973031 | − | 0.230674i | \(-0.925907\pi\) |
0.396134 | + | 0.918193i | \(0.370352\pi\) | |||||||
\(84\) | −2.36408 | − | 4.09471i | −0.257943 | − | 0.446770i | ||||
\(85\) | −0.349147 | − | 2.68061i | −0.0378703 | − | 0.290753i | ||||
\(86\) | −0.353013 | + | 0.128486i | −0.0380663 | + | 0.0138550i | ||||
\(87\) | 0.815185 | − | 0.684021i | 0.0873970 | − | 0.0733348i | ||||
\(88\) | −2.82024 | − | 4.88479i | −0.300638 | − | 0.520720i | ||||
\(89\) | 5.45354 | + | 0.961607i | 0.578075 | + | 0.101930i | 0.455038 | − | 0.890472i | \(-0.349626\pi\) |
0.123037 | + | 0.992402i | \(0.460737\pi\) | |||||||
\(90\) | 1.12371 | + | 2.16593i | 0.118450 | + | 0.228309i | ||||
\(91\) | −7.82433 | + | 9.32467i | −0.820212 | + | 0.977491i | ||||
\(92\) | −1.80062 | − | 0.655371i | −0.187727 | − | 0.0683271i | ||||
\(93\) | 18.3723 | + | 6.68695i | 1.90511 | + | 0.693405i | ||||
\(94\) | −0.280176 | + | 0.333901i | −0.0288980 | + | 0.0344393i | ||||
\(95\) | −7.79745 | + | 4.04543i | −0.800002 | + | 0.415052i | ||||
\(96\) | −1.99195 | − | 0.351235i | −0.203303 | − | 0.0358477i | ||||
\(97\) | −0.929193 | − | 1.60941i | −0.0943453 | − | 0.163411i | 0.814990 | − | 0.579475i | \(-0.196742\pi\) |
−0.909335 | + | 0.416064i | \(0.863409\pi\) | |||||||
\(98\) | 1.17645 | − | 0.987155i | 0.118839 | − | 0.0997177i | ||||
\(99\) | 5.78388 | − | 2.10516i | 0.581302 | − | 0.211577i | ||||
\(100\) | 3.52576 | + | 3.54528i | 0.352576 | + | 0.354528i | ||||
\(101\) | 6.89067 | + | 11.9350i | 0.685647 | + | 1.18758i | 0.973233 | + | 0.229821i | \(0.0738140\pi\) |
−0.287586 | + | 0.957755i | \(0.592853\pi\) | |||||||
\(102\) | −1.57180 | + | 1.87319i | −0.155631 | + | 0.185474i | ||||
\(103\) | −1.16347 | + | 2.01519i | −0.114640 | + | 0.198563i | −0.917636 | − | 0.397422i | \(-0.869905\pi\) |
0.802996 | + | 0.595985i | \(0.203238\pi\) | |||||||
\(104\) | 0.904241 | + | 5.12820i | 0.0886681 | + | 0.502862i | ||||
\(105\) | 8.39660 | − | 6.42455i | 0.819425 | − | 0.626972i | ||||
\(106\) | −12.1020 | + | 2.13392i | −1.17545 | + | 0.207264i | ||||
\(107\) | 3.42800 | + | 4.08533i | 0.331397 | + | 0.394943i | 0.905853 | − | 0.423592i | \(-0.139231\pi\) |
−0.574456 | + | 0.818535i | \(0.694786\pi\) | |||||||
\(108\) | −1.32048 | + | 3.62799i | −0.127063 | + | 0.349103i | ||||
\(109\) | 1.17306 | + | 3.22295i | 0.112359 | + | 0.308703i | 0.983109 | − | 0.183023i | \(-0.0585884\pi\) |
−0.870750 | + | 0.491726i | \(0.836366\pi\) | |||||||
\(110\) | 10.0167 | − | 7.66417i | 0.955058 | − | 0.730750i | ||||
\(111\) | 1.90910 | − | 12.1545i | 0.181203 | − | 1.15365i | ||||
\(112\) | 2.33758i | 0.220880i | ||||||||
\(113\) | 10.6199 | − | 3.86532i | 0.999033 | − | 0.363618i | 0.209822 | − | 0.977740i | \(-0.432712\pi\) |
0.789212 | + | 0.614121i | \(0.210489\pi\) | |||||||
\(114\) | 7.46690 | + | 2.71773i | 0.699339 | + | 0.254539i | ||||
\(115\) | 0.933150 | − | 4.18185i | 0.0870167 | − | 0.389960i | ||||
\(116\) | −0.518115 | + | 0.0913577i | −0.0481058 | + | 0.00848235i | ||||
\(117\) | −5.68240 | −0.525338 | ||||||||
\(118\) | −14.5104 | + | 2.55858i | −1.33579 | + | 0.235536i | ||||
\(119\) | 2.44736 | + | 1.41298i | 0.224349 | + | 0.129528i | ||||
\(120\) | 0.203519 | − | 4.51827i | 0.0185786 | − | 0.412460i | ||||
\(121\) | −10.4075 | − | 18.0262i | −0.946132 | − | 1.63875i | ||||
\(122\) | 2.98812 | + | 1.72519i | 0.270531 | + | 0.156191i | ||||
\(123\) | −6.93918 | − | 19.0652i | −0.625685 | − | 1.71905i | ||||
\(124\) | −6.21322 | − | 7.40463i | −0.557964 | − | 0.664955i | ||||
\(125\) | −6.84282 | + | 8.84171i | −0.612040 | + | 0.790827i | ||||
\(126\) | −2.51209 | − | 0.442949i | −0.223795 | − | 0.0394611i | ||||
\(127\) | −6.35218 | − | 1.12006i | −0.563665 | − | 0.0993893i | −0.115447 | − | 0.993314i | \(-0.536830\pi\) |
−0.448218 | + | 0.893924i | \(0.647941\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −0.259886 | + | 0.714032i | −0.0228817 | + | 0.0628670i | ||||
\(130\) | −11.1098 | + | 3.48606i | −0.974395 | + | 0.305748i | ||||
\(131\) | 3.36908 | − | 4.01511i | 0.294358 | − | 0.350802i | −0.598515 | − | 0.801112i | \(-0.704242\pi\) |
0.892872 | + | 0.450310i | \(0.148687\pi\) | |||||||
\(132\) | −11.2355 | − | 1.98113i | −0.977928 | − | 0.172435i | ||||
\(133\) | 1.59464 | − | 9.04366i | 0.138273 | − | 0.784185i | ||||
\(134\) | −8.45428 | + | 4.88108i | −0.730339 | + | 0.421661i | ||||
\(135\) | −8.42583 | − | 1.88016i | −0.725180 | − | 0.161819i | ||||
\(136\) | 1.13602 | − | 0.413479i | 0.0974132 | − | 0.0354555i | ||||
\(137\) | 13.6008 | + | 7.85240i | 1.16199 | + | 0.670876i | 0.951780 | − | 0.306780i | \(-0.0992517\pi\) |
0.210211 | + | 0.977656i | \(0.432585\pi\) | |||||||
\(138\) | −3.35655 | + | 1.93791i | −0.285729 | + | 0.164966i | ||||
\(139\) | 9.83912 | + | 8.25600i | 0.834543 | + | 0.700265i | 0.956329 | − | 0.292291i | \(-0.0944177\pi\) |
−0.121786 | + | 0.992556i | \(0.538862\pi\) | |||||||
\(140\) | −5.18320 | + | 0.675106i | −0.438060 | + | 0.0570569i | ||||
\(141\) | 0.153095 | + | 0.868246i | 0.0128929 | + | 0.0731195i | ||||
\(142\) | −3.59575 | −0.301748 | ||||||||
\(143\) | 5.10034 | + | 28.9255i | 0.426512 | + | 2.41887i | ||||
\(144\) | −0.835934 | + | 0.701432i | −0.0696612 | + | 0.0584527i | ||||
\(145\) | −0.352206 | − | 1.12245i | −0.0292491 | − | 0.0932146i | ||||
\(146\) | −4.61238 | − | 12.6724i | −0.381723 | − | 1.04878i | ||||
\(147\) | − | 3.10631i | − | 0.256204i | ||||||
\(148\) | −3.82194 | + | 4.73210i | −0.314161 | + | 0.388976i | ||||
\(149\) | −12.4523 | −1.02013 | −0.510065 | − | 0.860136i | \(-0.670379\pi\) | ||||
−0.510065 | + | 0.860136i | \(0.670379\pi\) | |||||||
\(150\) | 10.0773 | − | 0.853634i | 0.822809 | − | 0.0696989i | ||||
\(151\) | −7.13149 | − | 2.59565i | −0.580352 | − | 0.211231i | 0.0351286 | − | 0.999383i | \(-0.488816\pi\) |
−0.615481 | + | 0.788152i | \(0.711038\pi\) | |||||||
\(152\) | −2.52519 | − | 3.00941i | −0.204820 | − | 0.244095i | ||||
\(153\) | 0.229082 | + | 1.29919i | 0.0185201 | + | 0.105033i | ||||
\(154\) | 13.1850i | 1.06248i | ||||||||
\(155\) | 14.6242 | − | 15.9153i | 1.17464 | − | 1.27835i | ||||
\(156\) | 9.12161 | + | 5.26637i | 0.730313 | + | 0.421647i | ||||
\(157\) | 3.27813 | − | 3.90673i | 0.261624 | − | 0.311791i | −0.619202 | − | 0.785232i | \(-0.712544\pi\) |
0.880826 | + | 0.473441i | \(0.156988\pi\) | |||||||
\(158\) | −6.16773 | + | 3.56094i | −0.490679 | + | 0.283293i | ||||
\(159\) | −12.4281 | + | 21.5261i | −0.985611 | + | 1.70713i | ||||
\(160\) | −1.20404 | + | 1.88422i | −0.0951877 | + | 0.148961i | ||||
\(161\) | 2.87918 | + | 3.43127i | 0.226911 | + | 0.270422i | ||||
\(162\) | 5.54146 | + | 9.59808i | 0.435378 | + | 0.754097i | ||||
\(163\) | 0.0934163 | − | 0.529790i | 0.00731693 | − | 0.0414964i | −0.980931 | − | 0.194358i | \(-0.937738\pi\) |
0.988248 | + | 0.152861i | \(0.0488488\pi\) | |||||||
\(164\) | −1.74180 | + | 9.87827i | −0.136012 | + | 0.771363i | ||||
\(165\) | 1.14794 | − | 25.4852i | 0.0893671 | − | 1.98402i | ||||
\(166\) | 2.79654 | − | 7.68344i | 0.217054 | − | 0.596351i | ||||
\(167\) | −5.36695 | − | 1.95341i | −0.415307 | − | 0.151159i | 0.125911 | − | 0.992041i | \(-0.459815\pi\) |
−0.541218 | + | 0.840882i | \(0.682037\pi\) | |||||||
\(168\) | 3.62199 | + | 3.03921i | 0.279442 | + | 0.234480i | ||||
\(169\) | 2.45124 | − | 13.9017i | 0.188557 | − | 1.06936i | ||||
\(170\) | 1.24491 | + | 2.39953i | 0.0954805 | + | 0.184036i | ||||
\(171\) | 3.71258 | − | 2.14346i | 0.283908 | − | 0.163915i | ||||
\(172\) | 0.287779 | − | 0.241475i | 0.0219429 | − | 0.0184123i | ||||
\(173\) | −3.41954 | − | 9.39512i | −0.259983 | − | 0.714298i | −0.999168 | − | 0.0407947i | \(-0.987011\pi\) |
0.739184 | − | 0.673503i | \(-0.235211\pi\) | |||||||
\(174\) | −0.532074 | + | 0.921579i | −0.0403364 | + | 0.0698647i | ||||
\(175\) | −2.99388 | − | 11.2979i | −0.226316 | − | 0.854043i | ||||
\(176\) | 4.32085 | + | 3.62562i | 0.325696 | + | 0.273292i | ||||
\(177\) | −14.9014 | + | 25.8099i | −1.12006 | + | 1.93999i | ||||
\(178\) | −5.45354 | + | 0.961607i | −0.408760 | + | 0.0720755i | ||||
\(179\) | 7.84116i | 0.586076i | 0.956101 | + | 0.293038i | \(0.0946662\pi\) | ||||
−0.956101 | + | 0.293038i | \(0.905334\pi\) | |||||||
\(180\) | −1.79674 | − | 1.65097i | −0.133921 | − | 0.123056i | ||||
\(181\) | 10.9444 | − | 9.18345i | 0.813491 | − | 0.682600i | −0.137947 | − | 0.990440i | \(-0.544050\pi\) |
0.951438 | + | 0.307839i | \(0.0996060\pi\) | |||||||
\(182\) | 4.16324 | − | 11.4384i | 0.308600 | − | 0.847871i | ||||
\(183\) | 6.55813 | − | 2.38696i | 0.484791 | − | 0.176449i | ||||
\(184\) | 1.91618 | 0.141262 | ||||||||
\(185\) | −11.5965 | − | 7.10787i | −0.852590 | − | 0.522581i | ||||
\(186\) | −19.5513 | −1.43357 | ||||||||
\(187\) | 6.40771 | − | 2.33221i | 0.468578 | − | 0.170548i | ||||
\(188\) | 0.149079 | − | 0.409591i | 0.0108727 | − | 0.0298725i | ||||
\(189\) | 6.91352 | − | 5.80113i | 0.502885 | − | 0.421970i | ||||
\(190\) | 5.94359 | − | 6.46835i | 0.431193 | − | 0.469263i | ||||
\(191\) | 14.8514i | 1.07461i | 0.843388 | + | 0.537305i | \(0.180558\pi\) | ||||
−0.843388 | + | 0.537305i | \(0.819442\pi\) | |||||||
\(192\) | 1.99195 | − | 0.351235i | 0.143757 | − | 0.0253482i | ||||
\(193\) | −11.4984 | + | 19.9159i | −0.827675 | + | 1.43357i | 0.0721828 | + | 0.997391i | \(0.477003\pi\) |
−0.899858 | + | 0.436184i | \(0.856330\pi\) | |||||||
\(194\) | 1.42361 | + | 1.19455i | 0.102209 | + | 0.0857635i | ||||
\(195\) | −9.04294 | + | 21.7467i | −0.647578 | + | 1.55731i | ||||
\(196\) | −0.767870 | + | 1.32999i | −0.0548479 | + | 0.0949993i | ||||
\(197\) | 1.12427 | + | 3.08892i | 0.0801012 | + | 0.220076i | 0.973278 | − | 0.229629i | \(-0.0737513\pi\) |
−0.893177 | + | 0.449705i | \(0.851529\pi\) | |||||||
\(198\) | −4.71506 | + | 3.95641i | −0.335085 | + | 0.281170i | ||||
\(199\) | 15.0145 | − | 8.66864i | 1.06435 | − | 0.614504i | 0.137719 | − | 0.990471i | \(-0.456023\pi\) |
0.926633 | + | 0.375968i | \(0.122690\pi\) | |||||||
\(200\) | −4.52569 | − | 2.12559i | −0.320015 | − | 0.150302i | ||||
\(201\) | −3.42881 | + | 19.4458i | −0.241850 | + | 1.37160i | ||||
\(202\) | −10.5571 | − | 8.85847i | −0.742796 | − | 0.623280i | ||||
\(203\) | 1.15565 | + | 0.420622i | 0.0811107 | + | 0.0295219i | ||||
\(204\) | 0.836335 | − | 2.29781i | 0.0585552 | − | 0.160879i | ||||
\(205\) | −22.4065 | − | 1.00927i | −1.56494 | − | 0.0704903i | ||||
\(206\) | 0.404069 | − | 2.29159i | 0.0281528 | − | 0.159663i | ||||
\(207\) | −0.363098 | + | 2.05923i | −0.0252371 | + | 0.143127i | ||||
\(208\) | −2.60366 | − | 4.50967i | −0.180531 | − | 0.312689i | ||||
\(209\) | −14.2433 | − | 16.9745i | −0.985228 | − | 1.17415i | ||||
\(210\) | −5.69290 | + | 8.90891i | −0.392847 | + | 0.614773i | ||||
\(211\) | −0.967645 | + | 1.67601i | −0.0666155 | + | 0.115381i | −0.897409 | − | 0.441199i | \(-0.854553\pi\) |
0.830794 | + | 0.556580i | \(0.187887\pi\) | |||||||
\(212\) | 10.6424 | − | 6.14436i | 0.730920 | − | 0.421997i | ||||
\(213\) | −4.67502 | + | 5.57148i | −0.320327 | + | 0.381751i | ||||
\(214\) | −4.61853 | − | 2.66651i | −0.315716 | − | 0.182279i | ||||
\(215\) | 0.618544 | + | 0.568363i | 0.0421843 | + | 0.0387621i | ||||
\(216\) | − | 3.86082i | − | 0.262696i | ||||||
\(217\) | 3.92360 | + | 22.2519i | 0.266352 | + | 1.51056i | ||||
\(218\) | −2.20463 | − | 2.62737i | −0.149316 | − | 0.177948i | ||||
\(219\) | −25.6322 | − | 9.32937i | −1.73207 | − | 0.630420i | ||||
\(220\) | −6.79135 | + | 10.6279i | −0.457873 | + | 0.716532i | ||||
\(221\) | −6.29528 | −0.423467 | ||||||||
\(222\) | 2.36311 | + | 12.0744i | 0.158601 | + | 0.810381i | ||||
\(223\) | 4.95986i | 0.332137i | 0.986114 | + | 0.166068i | \(0.0531072\pi\) | ||||
−0.986114 | + | 0.166068i | \(0.946893\pi\) | |||||||
\(224\) | −0.799498 | − | 2.19660i | −0.0534187 | − | 0.146767i | ||||
\(225\) | 3.14186 | − | 4.46078i | 0.209457 | − | 0.297386i | ||||
\(226\) | −8.65740 | + | 7.26442i | −0.575881 | + | 0.483222i | ||||
\(227\) | −5.01530 | − | 28.4432i | −0.332877 | − | 1.88784i | −0.447263 | − | 0.894402i | \(-0.647601\pi\) |
0.114387 | − | 0.993436i | \(-0.463510\pi\) | |||||||
\(228\) | −7.94611 | −0.526244 | ||||||||
\(229\) | −2.85255 | − | 16.1776i | −0.188502 | − | 1.06905i | −0.921373 | − | 0.388679i | \(-0.872932\pi\) |
0.732872 | − | 0.680367i | \(-0.238179\pi\) | |||||||
\(230\) | 0.553403 | + | 4.24881i | 0.0364903 | + | 0.280158i | ||||
\(231\) | 20.4297 | + | 17.1426i | 1.34418 | + | 1.12790i | ||||
\(232\) | 0.455623 | − | 0.263054i | 0.0299131 | − | 0.0172703i | ||||
\(233\) | 1.89989 | + | 1.09690i | 0.124466 | + | 0.0718603i | 0.560940 | − | 0.827856i | \(-0.310440\pi\) |
−0.436475 | + | 0.899717i | \(0.643773\pi\) | |||||||
\(234\) | 5.33971 | − | 1.94350i | 0.349068 | − | 0.127050i | ||||
\(235\) | 0.951256 | + | 0.212266i | 0.0620531 | + | 0.0138467i | ||||
\(236\) | 12.7603 | − | 7.36714i | 0.830622 | − | 0.479560i | ||||
\(237\) | −2.50145 | + | 14.1864i | −0.162487 | + | 0.921509i | ||||
\(238\) | −2.78303 | − | 0.490724i | −0.180397 | − | 0.0318089i | ||||
\(239\) | −1.14840 | + | 1.36861i | −0.0742837 | + | 0.0885279i | −0.801906 | − | 0.597450i | \(-0.796181\pi\) |
0.727623 | + | 0.685978i | \(0.240625\pi\) | |||||||
\(240\) | 1.35409 | + | 4.31539i | 0.0874064 | + | 0.278557i | ||||
\(241\) | 0.823313 | − | 2.26203i | 0.0530343 | − | 0.145710i | −0.910347 | − | 0.413846i | \(-0.864185\pi\) |
0.963381 | + | 0.268135i | \(0.0864075\pi\) | |||||||
\(242\) | 15.9451 | + | 13.3796i | 1.02499 | + | 0.860071i | ||||
\(243\) | 10.6701 | + | 1.88143i | 0.684488 | + | 0.120694i | ||||
\(244\) | −3.39796 | − | 0.599152i | −0.217532 | − | 0.0383568i | ||||
\(245\) | −3.17080 | − | 1.31852i | −0.202575 | − | 0.0842371i | ||||
\(246\) | 13.0414 | + | 15.5421i | 0.831489 | + | 0.990930i | ||||
\(247\) | 6.99669 | + | 19.2233i | 0.445189 | + | 1.22315i | ||||
\(248\) | 8.37105 | + | 4.83303i | 0.531562 | + | 0.306898i | ||||
\(249\) | −8.26927 | − | 14.3228i | −0.524044 | − | 0.907670i | ||||
\(250\) | 3.40610 | − | 10.6489i | 0.215421 | − | 0.673494i | ||||
\(251\) | −20.6013 | − | 11.8942i | −1.30034 | − | 0.750755i | −0.319882 | − | 0.947457i | \(-0.603643\pi\) |
−0.980463 | + | 0.196703i | \(0.936977\pi\) | |||||||
\(252\) | 2.51209 | − | 0.442949i | 0.158247 | − | 0.0279032i | ||||
\(253\) | 10.8081 | 0.679502 | ||||||||
\(254\) | 6.35218 | − | 1.12006i | 0.398571 | − | 0.0702789i | ||||
\(255\) | 5.33657 | + | 1.19082i | 0.334189 | + | 0.0745718i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 4.02099 | − | 1.46352i | 0.250823 | − | 0.0912919i | −0.213549 | − | 0.976932i | \(-0.568502\pi\) |
0.464372 | + | 0.885640i | \(0.346280\pi\) | |||||||
\(258\) | − | 0.759857i | − | 0.0473066i | ||||||
\(259\) | 13.2680 | − | 5.11263i | 0.824431 | − | 0.317683i | ||||
\(260\) | 9.24751 | − | 7.07561i | 0.573506 | − | 0.438811i | ||||
\(261\) | 0.196356 | + | 0.539484i | 0.0121541 | + | 0.0333932i | ||||
\(262\) | −1.79265 | + | 4.92526i | −0.110750 | + | 0.304284i | ||||
\(263\) | −4.53287 | − | 5.40207i | −0.279509 | − | 0.333106i | 0.607965 | − | 0.793964i | \(-0.291986\pi\) |
−0.887474 | + | 0.460858i | \(0.847542\pi\) | |||||||
\(264\) | 11.2355 | − | 1.98113i | 0.691500 | − | 0.121930i | ||||
\(265\) | 16.6977 | + | 21.8232i | 1.02573 | + | 1.34059i | ||||
\(266\) | 1.59464 | + | 9.04366i | 0.0977738 | + | 0.554503i | ||||
\(267\) | −5.60047 | + | 9.70030i | −0.342743 | + | 0.593649i | ||||
\(268\) | 6.27500 | − | 7.47825i | 0.383307 | − | 0.456807i | ||||
\(269\) | 0.840346 | + | 1.45552i | 0.0512368 | + | 0.0887447i | 0.890506 | − | 0.454971i | \(-0.150350\pi\) |
−0.839270 | + | 0.543716i | \(0.817017\pi\) | |||||||
\(270\) | 8.56075 | − | 1.11503i | 0.520991 | − | 0.0678585i | ||||
\(271\) | 10.5757 | − | 3.84922i | 0.642425 | − | 0.233824i | −0.000205054 | − | 1.00000i | \(-0.500065\pi\) |
0.642631 | + | 0.766176i | \(0.277843\pi\) | |||||||
\(272\) | −0.926095 | + | 0.777086i | −0.0561528 | + | 0.0471178i | ||||
\(273\) | −12.3105 | − | 21.3225i | −0.745067 | − | 1.29049i | ||||
\(274\) | −15.4662 | − | 2.72711i | −0.934348 | − | 0.164751i | ||||
\(275\) | −25.5270 | − | 11.9893i | −1.53934 | − | 0.722983i | ||||
\(276\) | 2.49132 | − | 2.96904i | 0.149960 | − | 0.178715i | ||||
\(277\) | 1.81195 | + | 0.659495i | 0.108869 | + | 0.0396252i | 0.395881 | − | 0.918302i | \(-0.370439\pi\) |
−0.287011 | + | 0.957927i | \(0.592662\pi\) | |||||||
\(278\) | −12.0695 | − | 4.39293i | −0.723879 | − | 0.263470i | ||||
\(279\) | −6.78008 | + | 8.08019i | −0.405913 | + | 0.483748i | ||||
\(280\) | 4.63971 | − | 2.40715i | 0.277276 | − | 0.143855i | ||||
\(281\) | −20.0874 | − | 3.54195i | −1.19831 | − | 0.211295i | −0.461344 | − | 0.887221i | \(-0.652633\pi\) |
−0.736969 | + | 0.675926i | \(0.763744\pi\) | |||||||
\(282\) | −0.440820 | − | 0.763523i | −0.0262504 | − | 0.0454671i | ||||
\(283\) | 15.5023 | − | 13.0079i | 0.921514 | − | 0.773242i | −0.0527608 | − | 0.998607i | \(-0.516802\pi\) |
0.974274 | + | 0.225366i | \(0.0723576\pi\) | |||||||
\(284\) | 3.37890 | − | 1.22982i | 0.200501 | − | 0.0729763i | ||||
\(285\) | −2.29488 | − | 17.6192i | −0.135937 | − | 1.04367i | ||||
\(286\) | −14.6858 | − | 25.4366i | −0.868393 | − | 1.50410i | ||||
\(287\) | 15.0717 | − | 17.9618i | 0.889655 | − | 1.06025i | ||||
\(288\) | 0.545617 | − | 0.945037i | 0.0321508 | − | 0.0556869i | ||||
\(289\) | −2.69823 | − | 15.3024i | −0.158719 | − | 0.900142i | ||||
\(290\) | 0.714866 | + | 0.934298i | 0.0419784 | + | 0.0548639i | ||||
\(291\) | 3.70182 | − | 0.652730i | 0.217004 | − | 0.0382637i | ||||
\(292\) | 8.66844 | + | 10.3306i | 0.507282 | + | 0.604555i | ||||
\(293\) | 10.2999 | − | 28.2986i | 0.601724 | − | 1.65322i | −0.146055 | − | 0.989276i | \(-0.546658\pi\) |
0.747779 | − | 0.663947i | \(-0.231120\pi\) | |||||||
\(294\) | 1.06242 | + | 2.91898i | 0.0619617 | + | 0.170238i | ||||
\(295\) | 20.0207 | + | 26.1661i | 1.16565 | + | 1.52345i | ||||
\(296\) | 1.97297 | − | 5.75390i | 0.114677 | − | 0.334439i | ||||
\(297\) | − | 21.7768i | − | 1.26362i | ||||||
\(298\) | 11.7013 | − | 4.25893i | 0.677839 | − | 0.246713i | ||||
\(299\) | −9.37638 | − | 3.41272i | −0.542250 | − | 0.197363i | ||||
\(300\) | −9.17761 | + | 4.24880i | −0.529870 | + | 0.245304i | ||||
\(301\) | −0.864812 | + | 0.152490i | −0.0498469 | + | 0.00878936i | ||||
\(302\) | 7.58917 | 0.436708 | ||||||||
\(303\) | −27.4517 | + | 4.84048i | −1.57706 | + | 0.278079i | ||||
\(304\) | 3.40218 | + | 1.96425i | 0.195129 | + | 0.112658i | ||||
\(305\) | 0.347171 | − | 7.70747i | 0.0198790 | − | 0.441328i | ||||
\(306\) | −0.659614 | − | 1.14248i | −0.0377076 | − | 0.0653115i | ||||
\(307\) | 12.7368 | + | 7.35357i | 0.726925 | + | 0.419690i | 0.817296 | − | 0.576218i | \(-0.195472\pi\) |
−0.0903711 | + | 0.995908i | \(0.528805\pi\) | |||||||
\(308\) | −4.50954 | − | 12.3899i | −0.256955 | − | 0.705978i | ||||
\(309\) | −3.02538 | − | 3.60551i | −0.172108 | − | 0.205110i | ||||
\(310\) | −8.29885 | + | 19.9573i | −0.471343 | + | 1.13350i | ||||
\(311\) | 24.9131 | + | 4.39286i | 1.41269 | + | 0.249096i | 0.827349 | − | 0.561688i | \(-0.189848\pi\) |
0.585345 | + | 0.810784i | \(0.300959\pi\) | |||||||
\(312\) | −10.3727 | − | 1.82899i | −0.587239 | − | 0.103546i | ||||
\(313\) | −5.94004 | − | 4.98429i | −0.335751 | − | 0.281729i | 0.459287 | − | 0.888288i | \(-0.348105\pi\) |
−0.795038 | + | 0.606559i | \(0.792549\pi\) | |||||||
\(314\) | −1.74426 | + | 4.79231i | −0.0984342 | + | 0.270446i | ||||
\(315\) | 1.70768 | + | 5.44223i | 0.0962167 | + | 0.306635i | ||||
\(316\) | 4.57786 | − | 5.45568i | 0.257525 | − | 0.306906i | ||||
\(317\) | −10.5554 | − | 1.86121i | −0.592852 | − | 0.104536i | −0.130831 | − | 0.991405i | \(-0.541764\pi\) |
−0.462021 | + | 0.886869i | \(0.652876\pi\) | |||||||
\(318\) | 4.31623 | − | 24.4785i | 0.242042 | − | 1.37269i | ||||
\(319\) | 2.56993 | − | 1.48375i | 0.143888 | − | 0.0830739i | ||||
\(320\) | 0.486986 | − | 2.18239i | 0.0272233 | − | 0.122000i | ||||
\(321\) | −10.1364 | + | 3.68937i | −0.565761 | + | 0.205920i | ||||
\(322\) | −3.87911 | − | 2.23960i | −0.216174 | − | 0.124808i | ||||
\(323\) | 4.11301 | − | 2.37465i | 0.228854 | − | 0.132129i | ||||
\(324\) | −8.49000 | − | 7.12396i | −0.471667 | − | 0.395775i | ||||
\(325\) | 18.3598 | + | 18.4614i | 1.01842 | + | 1.02405i | ||||
\(326\) | 0.0934163 | + | 0.529790i | 0.00517385 | + | 0.0293424i | ||||
\(327\) | −6.93737 | −0.383637 | ||||||||
\(328\) | −1.74180 | − | 9.87827i | −0.0961751 | − | 0.545436i | ||||
\(329\) | −0.780519 | + | 0.654934i | −0.0430314 | + | 0.0361077i | ||||
\(330\) | 7.63773 | + | 24.3408i | 0.420443 | + | 1.33992i | ||||
\(331\) | 8.15516 | + | 22.4061i | 0.448248 | + | 1.23155i | 0.933943 | + | 0.357423i | \(0.116345\pi\) |
−0.485694 | + | 0.874129i | \(0.661433\pi\) | |||||||
\(332\) | 8.17655i | 0.448746i | ||||||||
\(333\) | 5.80961 | + | 3.21058i | 0.318365 | + | 0.175939i | ||||
\(334\) | 5.71139 | 0.312513 | ||||||||
\(335\) | 18.3941 | + | 11.7540i | 1.00498 | + | 0.642191i | ||||
\(336\) | −4.44302 | − | 1.61713i | −0.242387 | − | 0.0882216i | ||||
\(337\) | −9.33608 | − | 11.1263i | −0.508569 | − | 0.606089i | 0.449270 | − | 0.893396i | \(-0.351684\pi\) |
−0.957838 | + | 0.287307i | \(0.907240\pi\) | |||||||
\(338\) | 2.45124 | + | 13.9017i | 0.133330 | + | 0.756151i | ||||
\(339\) | 22.8592i | 1.24154i | ||||||||
\(340\) | −1.99052 | − | 1.82904i | −0.107951 | − | 0.0991936i | ||||
\(341\) | 47.2167 | + | 27.2606i | 2.55693 | + | 1.47624i | ||||
\(342\) | −2.75558 | + | 3.28397i | −0.149005 | + | 0.177577i | ||||
\(343\) | 17.2798 | − | 9.97647i | 0.933019 | − | 0.538679i | ||||
\(344\) | −0.187834 | + | 0.325338i | −0.0101273 | + | 0.0175411i | ||||
\(345\) | 7.30289 | + | 4.66663i | 0.393174 | + | 0.251243i | ||||
\(346\) | 6.42664 | + | 7.65897i | 0.345498 | + | 0.411749i | ||||
\(347\) | −4.99268 | − | 8.64758i | −0.268021 | − | 0.464227i | 0.700329 | − | 0.713820i | \(-0.253036\pi\) |
−0.968351 | + | 0.249593i | \(0.919703\pi\) | |||||||
\(348\) | 0.184787 | − | 1.04798i | 0.00990564 | − | 0.0561777i | ||||
\(349\) | −3.74845 | + | 21.2585i | −0.200650 | + | 1.13794i | 0.703490 | + | 0.710705i | \(0.251624\pi\) |
−0.904140 | + | 0.427236i | \(0.859487\pi\) | |||||||
\(350\) | 6.67744 | + | 9.59261i | 0.356924 | + | 0.512747i | ||||
\(351\) | −6.87615 | + | 18.8921i | −0.367022 | + | 1.00838i | ||||
\(352\) | −5.30031 | − | 1.92915i | −0.282507 | − | 0.102824i | ||||
\(353\) | 26.8856 | + | 22.5597i | 1.43098 | + | 1.20073i | 0.945133 | + | 0.326685i | \(0.105932\pi\) |
0.485843 | + | 0.874046i | \(0.338513\pi\) | |||||||
\(354\) | 5.17519 | − | 29.3500i | 0.275058 | − | 1.55993i | ||||
\(355\) | 3.70277 | + | 7.13698i | 0.196523 | + | 0.378791i | ||||
\(356\) | 4.79577 | − | 2.76884i | 0.254175 | − | 0.146748i | ||||
\(357\) | −4.37873 | + | 3.67419i | −0.231747 | + | 0.194459i | ||||
\(358\) | −2.68183 | − | 7.36828i | −0.141739 | − | 0.389426i | ||||
\(359\) | 6.80814 | − | 11.7920i | 0.359320 | − | 0.622360i | −0.628528 | − | 0.777787i | \(-0.716342\pi\) |
0.987847 | + | 0.155427i | \(0.0496754\pi\) | |||||||
\(360\) | 2.25305 | + | 0.936886i | 0.118746 | + | 0.0493782i | ||||
\(361\) | 2.73237 | + | 2.29273i | 0.143809 | + | 0.120670i | ||||
\(362\) | −7.14345 | + | 12.3728i | −0.375452 | + | 0.650301i | ||||
\(363\) | 41.4623 | − | 7.31092i | 2.17620 | − | 0.383724i | ||||
\(364\) | 12.1725i | 0.638012i | ||||||||
\(365\) | −20.4030 | + | 22.2044i | −1.06794 | + | 1.16223i | ||||
\(366\) | −5.34623 | + | 4.48602i | −0.279452 | + | 0.234488i | ||||
\(367\) | −3.23184 | + | 8.87942i | −0.168701 | + | 0.463502i | −0.995017 | − | 0.0997047i | \(-0.968210\pi\) |
0.826316 | + | 0.563206i | \(0.190432\pi\) | |||||||
\(368\) | −1.80062 | + | 0.655371i | −0.0938636 | + | 0.0341636i | ||||
\(369\) | 10.9458 | 0.569816 | ||||||||
\(370\) | 13.3282 | + | 2.71299i | 0.692898 | + | 0.141042i | ||||
\(371\) | −28.7258 | −1.49137 | ||||||||
\(372\) | 18.3723 | − | 6.68695i | 0.952557 | − | 0.346702i | ||||
\(373\) | 3.07128 | − | 8.43826i | 0.159025 | − | 0.436917i | −0.834434 | − | 0.551108i | \(-0.814205\pi\) |
0.993459 | + | 0.114191i | \(0.0364276\pi\) | |||||||
\(374\) | −5.22361 | + | 4.38313i | −0.270106 | + | 0.226646i | ||||
\(375\) | −12.0716 | − | 19.1228i | −0.623373 | − | 0.987497i | ||||
\(376\) | 0.435877i | 0.0224786i | ||||||||
\(377\) | −2.69799 | + | 0.475728i | −0.138953 | + | 0.0245012i | ||||
\(378\) | −4.51248 | + | 7.81585i | −0.232097 | + | 0.402004i | ||||
\(379\) | −25.9581 | − | 21.7814i | −1.33338 | − | 1.11884i | −0.983276 | − | 0.182124i | \(-0.941703\pi\) |
−0.350101 | − | 0.936712i | \(-0.613853\pi\) | |||||||
\(380\) | −3.37284 | + | 8.11108i | −0.173023 | + | 0.416090i | ||||
\(381\) | 6.52332 | − | 11.2987i | 0.334200 | − | 0.578851i | ||||
\(382\) | −5.07948 | − | 13.9558i | −0.259889 | − | 0.714039i | ||||
\(383\) | −23.8623 | + | 20.0228i | −1.21930 | + | 1.02312i | −0.220444 | + | 0.975400i | \(0.570751\pi\) |
−0.998861 | + | 0.0477185i | \(0.984805\pi\) | |||||||
\(384\) | −1.75169 | + | 1.01134i | −0.0893907 | + | 0.0516097i | ||||
\(385\) | 26.1702 | − | 13.5775i | 1.33375 | − | 0.691971i | ||||
\(386\) | 3.99336 | − | 22.6475i | 0.203257 | − | 1.15273i | ||||
\(387\) | −0.314034 | − | 0.263506i | −0.0159633 | − | 0.0133948i | ||||
\(388\) | −1.74631 | − | 0.635606i | −0.0886556 | − | 0.0322680i | ||||
\(389\) | −6.65032 | + | 18.2716i | −0.337185 | + | 0.926407i | 0.649005 | + | 0.760784i | \(0.275186\pi\) |
−0.986189 | + | 0.165622i | \(0.947037\pi\) | |||||||
\(390\) | 1.05979 | − | 23.5280i | 0.0536644 | − | 1.19139i | ||||
\(391\) | −0.402260 | + | 2.28133i | −0.0203432 | + | 0.115372i | ||||
\(392\) | 0.266679 | − | 1.51241i | 0.0134693 | − | 0.0763882i | ||||
\(393\) | 5.30079 | + | 9.18124i | 0.267390 | + | 0.463132i | ||||
\(394\) | −2.11294 | − | 2.51811i | −0.106449 | − | 0.126860i | ||||
\(395\) | 13.4192 | + | 8.57503i | 0.675194 | + | 0.431457i | ||||
\(396\) | 3.07754 | − | 5.33045i | 0.154652 | − | 0.267865i | ||||
\(397\) | −10.8764 | + | 6.27950i | −0.545871 | + | 0.315159i | −0.747455 | − | 0.664312i | \(-0.768724\pi\) |
0.201584 | + | 0.979471i | \(0.435391\pi\) | |||||||
\(398\) | −11.1442 | + | 13.2811i | −0.558608 | + | 0.665723i | ||||
\(399\) | 16.0861 | + | 9.28731i | 0.805312 | + | 0.464947i | ||||
\(400\) | 4.97975 | + | 0.449523i | 0.248988 | + | 0.0224762i | ||||
\(401\) | 6.72266i | 0.335714i | 0.985811 | + | 0.167857i | \(0.0536846\pi\) | ||||
−0.985811 | + | 0.167857i | \(0.946315\pi\) | |||||||
\(402\) | −3.42881 | − | 19.4458i | −0.171014 | − | 0.969866i | ||||
\(403\) | −32.3542 | − | 38.5582i | −1.61168 | − | 1.92072i | ||||
\(404\) | 12.9502 | + | 4.71349i | 0.644298 | + | 0.234505i | ||||
\(405\) | 13.3443 | − | 20.8827i | 0.663082 | − | 1.03767i | ||||
\(406\) | −1.22982 | −0.0610348 | ||||||||
\(407\) | 11.1285 | − | 32.4547i | 0.551619 | − | 1.60872i | ||||
\(408\) | 2.44528i | 0.121059i | ||||||||
\(409\) | 10.4107 | + | 28.6031i | 0.514776 | + | 1.41433i | 0.876207 | + | 0.481936i | \(0.160066\pi\) |
−0.361431 | + | 0.932399i | \(0.617712\pi\) | |||||||
\(410\) | 21.4004 | − | 6.71507i | 1.05689 | − | 0.331634i | ||||
\(411\) | −24.3340 | + | 20.4187i | −1.20031 | + | 1.00718i | ||||
\(412\) | 0.404069 | + | 2.29159i | 0.0199071 | + | 0.112899i | ||||
\(413\) | −34.4425 | −1.69480 | ||||||||
\(414\) | −0.363098 | − | 2.05923i | −0.0178453 | − | 0.101206i | ||||
\(415\) | −18.1302 | + | 2.36144i | −0.889975 | + | 0.115918i | ||||
\(416\) | 3.98903 | + | 3.34720i | 0.195578 | + | 0.164110i | ||||
\(417\) | −22.4988 | + | 12.9897i | −1.10177 | + | 0.636109i | ||||
\(418\) | 19.1899 | + | 11.0793i | 0.938610 | + | 0.541907i | ||||
\(419\) | −27.3550 | + | 9.95641i | −1.33638 | + | 0.486403i | −0.908671 | − | 0.417514i | \(-0.862902\pi\) |
−0.427710 | + | 0.903916i | \(0.640679\pi\) | |||||||
\(420\) | 2.30255 | − | 10.3187i | 0.112353 | − | 0.503502i | ||||
\(421\) | 26.8832 | − | 15.5210i | 1.31021 | − | 0.756447i | 0.328075 | − | 0.944652i | \(-0.393600\pi\) |
0.982130 | + | 0.188204i | \(0.0602666\pi\) | |||||||
\(422\) | 0.336060 | − | 1.90589i | 0.0163591 | − | 0.0927772i | ||||
\(423\) | −0.468418 | − | 0.0825948i | −0.0227753 | − | 0.00401590i | ||||
\(424\) | −7.89904 | + | 9.41371i | −0.383611 | + | 0.457170i | ||||
\(425\) | 3.48072 | − | 4.94190i | 0.168840 | − | 0.239718i | ||||
\(426\) | 2.48753 | − | 6.83443i | 0.120521 | − | 0.331129i | ||||
\(427\) | 6.17855 | + | 5.18442i | 0.299001 | + | 0.250892i | ||||
\(428\) | 5.25199 | + | 0.926068i | 0.253865 | + | 0.0447632i | ||||
\(429\) | −58.5070 | − | 10.3164i | −2.82474 | − | 0.498079i | ||||
\(430\) | −0.775633 | − | 0.322532i | −0.0374043 | − | 0.0155539i | ||||
\(431\) | 17.4219 | + | 20.7626i | 0.839184 | + | 1.00010i | 0.999914 | + | 0.0131023i | \(0.00417072\pi\) |
−0.160730 | + | 0.986998i | \(0.551385\pi\) | |||||||
\(432\) | 1.32048 | + | 3.62799i | 0.0635316 | + | 0.174552i | ||||
\(433\) | 5.43009 | + | 3.13506i | 0.260953 | + | 0.150662i | 0.624769 | − | 0.780809i | \(-0.285193\pi\) |
−0.363816 | + | 0.931471i | \(0.618526\pi\) | |||||||
\(434\) | −11.2976 | − | 19.5680i | −0.542301 | − | 0.939292i | ||||
\(435\) | 2.37710 | + | 0.107073i | 0.113973 | + | 0.00513375i | ||||
\(436\) | 2.97029 | + | 1.71490i | 0.142251 | + | 0.0821286i | ||||
\(437\) | 7.41335 | − | 1.30717i | 0.354628 | − | 0.0625306i | ||||
\(438\) | 27.2772 | 1.30336 | ||||||||
\(439\) | 9.68952 | − | 1.70852i | 0.462455 | − | 0.0815434i | 0.0624339 | − | 0.998049i | \(-0.480114\pi\) |
0.400022 | + | 0.916506i | \(0.369003\pi\) | |||||||
\(440\) | 2.74683 | − | 12.3097i | 0.130950 | − | 0.586843i | ||||
\(441\) | 1.57479 | + | 0.573176i | 0.0749899 | + | 0.0272941i | ||||
\(442\) | 5.91563 | − | 2.15311i | 0.281378 | − | 0.102413i | ||||
\(443\) | 17.3219i | 0.822990i | 0.911412 | + | 0.411495i | \(0.134993\pi\) | ||||
−0.911412 | + | 0.411495i | \(0.865007\pi\) | |||||||
\(444\) | −6.35029 | − | 10.5380i | −0.301371 | − | 0.500112i | ||||
\(445\) | 7.52450 | + | 9.83418i | 0.356695 | + | 0.466185i | ||||
\(446\) | −1.69637 | − | 4.66074i | −0.0803255 | − | 0.220693i | ||||
\(447\) | 8.61445 | − | 23.6680i | 0.407450 | − | 1.11946i | ||||
\(448\) | 1.50256 | + | 1.79069i | 0.0709895 | + | 0.0846020i | ||||
\(449\) | −14.1325 | + | 2.49195i | −0.666956 | + | 0.117602i | −0.496867 | − | 0.867826i | \(-0.665516\pi\) |
−0.170089 | + | 0.985429i | \(0.554405\pi\) | |||||||
\(450\) | −1.42670 | + | 5.26634i | −0.0672553 | + | 0.248258i | ||||
\(451\) | −9.82460 | − | 55.7181i | −0.462622 | − | 2.62366i | ||||
\(452\) | 5.65071 | − | 9.78732i | 0.265787 | − | 0.460357i | ||||
\(453\) | 9.86709 | − | 11.7591i | 0.463596 | − | 0.552493i | ||||
\(454\) | 14.4410 | + | 25.0125i | 0.677748 | + | 1.17389i | ||||
\(455\) | −26.9905 | + | 3.51549i | −1.26534 | + | 0.164809i | ||||
\(456\) | 7.46690 | − | 2.71773i | 0.349670 | − | 0.127269i | ||||
\(457\) | 8.94301 | − | 7.50408i | 0.418337 | − | 0.351026i | −0.409193 | − | 0.912448i | \(-0.634190\pi\) |
0.827530 | + | 0.561422i | \(0.189745\pi\) | |||||||
\(458\) | 8.21358 | + | 14.2263i | 0.383795 | + | 0.664753i | ||||
\(459\) | 4.59656 | + | 0.810497i | 0.214549 | + | 0.0378308i | ||||
\(460\) | −1.97321 | − | 3.80330i | −0.0920013 | − | 0.177330i | ||||
\(461\) | 2.58648 | − | 3.08244i | 0.120464 | − | 0.143564i | −0.702442 | − | 0.711741i | \(-0.747907\pi\) |
0.822906 | + | 0.568178i | \(0.192351\pi\) | |||||||
\(462\) | −25.0607 | − | 9.12137i | −1.16593 | − | 0.424364i | ||||
\(463\) | −6.31174 | − | 2.29728i | −0.293331 | − | 0.106764i | 0.191163 | − | 0.981558i | \(-0.438774\pi\) |
−0.484494 | + | 0.874794i | \(0.660996\pi\) | |||||||
\(464\) | −0.338176 | + | 0.403022i | −0.0156994 | + | 0.0187098i | ||||
\(465\) | 20.1333 | + | 38.8063i | 0.933657 | + | 1.79960i | ||||
\(466\) | −2.16047 | − | 0.380949i | −0.100082 | − | 0.0176471i | ||||
\(467\) | −8.63767 | − | 14.9609i | −0.399704 | − | 0.692307i | 0.593986 | − | 0.804476i | \(-0.297554\pi\) |
−0.993689 | + | 0.112169i | \(0.964220\pi\) | |||||||
\(468\) | −4.35297 | + | 3.65258i | −0.201216 | + | 0.168841i | ||||
\(469\) | −21.4436 | + | 7.80483i | −0.990173 | + | 0.360394i | ||||
\(470\) | −0.966487 | + | 0.125884i | −0.0445807 | + | 0.00580659i | ||||
\(471\) | 5.15771 | + | 8.93341i | 0.237655 | + | 0.411630i | ||||
\(472\) | −9.47101 | + | 11.2871i | −0.435939 | + | 0.519531i | ||||
\(473\) | −1.05947 | + | 1.83506i | −0.0487146 | + | 0.0843762i | ||||
\(474\) | −2.50145 | − | 14.1864i | −0.114896 | − | 0.651605i | ||||
\(475\) | −18.9591 | − | 5.13620i | −0.869904 | − | 0.235665i | ||||
\(476\) | 2.78303 | − | 0.490724i | 0.127560 | − | 0.0224923i | ||||
\(477\) | −8.61971 | − | 10.2726i | −0.394669 | − | 0.470349i | ||||
\(478\) | 0.611050 | − | 1.67885i | 0.0279488 | − | 0.0767886i | ||||
\(479\) | −12.5897 | − | 34.5901i | −0.575240 | − | 1.58046i | −0.796107 | − | 0.605156i | \(-0.793111\pi\) |
0.220867 | − | 0.975304i | \(-0.429111\pi\) | |||||||
\(480\) | −2.74838 | − | 3.59201i | −0.125446 | − | 0.163952i | ||||
\(481\) | −19.9020 | + | 24.6415i | −0.907455 | + | 1.12356i | ||||
\(482\) | 2.40721i | 0.109645i | ||||||||
\(483\) | −8.51362 | + | 3.09870i | −0.387383 | + | 0.140996i | ||||
\(484\) | −19.5596 | − | 7.11912i | −0.889073 | − | 0.323596i | ||||
\(485\) | 0.905007 | − | 4.05573i | 0.0410943 | − | 0.184161i | ||||
\(486\) | −10.6701 | + | 1.88143i | −0.484006 | + | 0.0853434i | ||||
\(487\) | −7.74317 | −0.350876 | −0.175438 | − | 0.984490i | \(-0.556134\pi\) | ||||
−0.175438 | + | 0.984490i | \(0.556134\pi\) | |||||||
\(488\) | 3.39796 | − | 0.599152i | 0.153818 | − | 0.0271223i | ||||
\(489\) | 0.942345 | + | 0.544063i | 0.0426143 | + | 0.0246034i | ||||
\(490\) | 3.43054 | + | 0.154524i | 0.154976 | + | 0.00698067i | ||||
\(491\) | −18.1312 | − | 31.4041i | −0.818248 | − | 1.41725i | −0.906972 | − | 0.421192i | \(-0.861612\pi\) |
0.0887232 | − | 0.996056i | \(-0.471721\pi\) | |||||||
\(492\) | −17.5706 | − | 10.1444i | −0.792145 | − | 0.457345i | ||||
\(493\) | 0.217534 | + | 0.597671i | 0.00979726 | + | 0.0269177i | ||||
\(494\) | −13.1495 | − | 15.6709i | −0.591623 | − | 0.705069i | ||||
\(495\) | 12.7082 | + | 5.28448i | 0.571193 | + | 0.237520i | ||||
\(496\) | −9.51921 | − | 1.67849i | −0.427425 | − | 0.0753666i | ||||
\(497\) | −8.27763 | − | 1.45957i | −0.371303 | − | 0.0654707i | ||||
\(498\) | 12.6693 | + | 10.6308i | 0.567723 | + | 0.476376i | ||||
\(499\) | 9.94144 | − | 27.3139i | 0.445040 | − | 1.22274i | −0.491098 | − | 0.871104i | \(-0.663404\pi\) |
0.936138 | − | 0.351633i | \(-0.114373\pi\) | |||||||
\(500\) | 0.441438 | + | 11.1716i | 0.0197417 | + | 0.499610i | ||||
\(501\) | 7.42568 | − | 8.84958i | 0.331755 | − | 0.395370i | ||||
\(502\) | 23.4270 | + | 4.13081i | 1.04560 | + | 0.184367i | ||||
\(503\) | −1.39334 | + | 7.90203i | −0.0621260 | + | 0.352334i | 0.937860 | + | 0.347014i | \(0.112804\pi\) |
−0.999986 | + | 0.00531984i | \(0.998307\pi\) | |||||||
\(504\) | −2.20910 | + | 1.27542i | −0.0984010 | + | 0.0568118i | ||||
\(505\) | −6.71131 | + | 30.0763i | −0.298649 | + | 1.33838i | ||||
\(506\) | −10.1563 | + | 3.69660i | −0.451504 | + | 0.164334i | ||||
\(507\) | 24.7271 | + | 14.2762i | 1.09817 | + | 0.634028i | ||||
\(508\) | −5.58601 | + | 3.22509i | −0.247839 | + | 0.143090i | ||||
\(509\) | 1.59143 | + | 1.33537i | 0.0705388 | + | 0.0591890i | 0.677375 | − | 0.735638i | \(-0.263117\pi\) |
−0.606837 | + | 0.794827i | \(0.707562\pi\) | |||||||
\(510\) | −5.42202 | + | 0.706212i | −0.240091 | + | 0.0312716i | ||||
\(511\) | −5.47405 | − | 31.0449i | −0.242158 | − | 1.37335i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −2.63377 | − | 14.9368i | −0.116284 | − | 0.659477i | ||||
\(514\) | −3.27794 | + | 2.75052i | −0.144584 | + | 0.121320i | ||||
\(515\) | −4.96454 | + | 1.55778i | −0.218764 | + | 0.0686442i | ||||
\(516\) | 0.259886 | + | 0.714032i | 0.0114409 | + | 0.0314335i | ||||
\(517\) | 2.45855i | 0.108127i | ||||||||
\(518\) | −10.7192 | + | 9.34221i | −0.470974 | + | 0.410473i | ||||
\(519\) | 20.2229 | 0.887687 | ||||||||
\(520\) | −6.26981 | + | 9.81173i | −0.274949 | + | 0.430273i | ||||
\(521\) | 30.1422 | + | 10.9709i | 1.32056 | + | 0.480643i | 0.903636 | − | 0.428300i | \(-0.140888\pi\) |
0.416919 | + | 0.908943i | \(0.363110\pi\) | |||||||
\(522\) | −0.369029 | − | 0.439792i | −0.0161520 | − | 0.0192492i | ||||
\(523\) | 0.136813 | + | 0.775903i | 0.00598240 | + | 0.0339279i | 0.987653 | − | 0.156658i | \(-0.0500722\pi\) |
−0.981670 | + | 0.190586i | \(0.938961\pi\) | |||||||
\(524\) | − | 5.24135i | − | 0.228970i | ||||||
\(525\) | 23.5451 | + | 2.12542i | 1.02759 | + | 0.0927610i | ||||
\(526\) | 6.10712 | + | 3.52595i | 0.266283 | + | 0.153739i | ||||
\(527\) | −7.51136 | + | 8.95169i | −0.327200 | + | 0.389942i | ||||
\(528\) | −9.88037 | + | 5.70443i | −0.429988 | + | 0.248254i | ||||
\(529\) | 9.66413 | − | 16.7388i | 0.420180 | − | 0.727773i | ||||
\(530\) | −23.1547 | − | 14.7961i | −1.00577 | − | 0.642702i | ||||
\(531\) | −10.3351 | − | 12.3169i | −0.448505 | − | 0.534508i | ||||
\(532\) | −4.59159 | − | 7.95286i | −0.199071 | − | 0.344800i | ||||
\(533\) | −9.07013 | + | 51.4392i | −0.392871 | + | 2.22808i | ||||
\(534\) | 1.94502 | − | 11.0308i | 0.0841694 | − | 0.477348i | ||||
\(535\) | −0.536599 | + | 11.9129i | −0.0231992 | + | 0.515040i | ||||
\(536\) | −3.33886 | + | 9.17343i | −0.144217 | + | 0.396232i | ||||
\(537\) | −14.9037 | − | 5.42449i | −0.643141 | − | 0.234084i | ||||
\(538\) | −1.28748 | − | 1.08033i | −0.0555074 | − | 0.0465762i | ||||
\(539\) | 1.50419 | − | 8.53070i | 0.0647901 | − | 0.367443i | ||||
\(540\) | −7.66311 | + | 3.97573i | −0.329768 | + | 0.171088i | ||||
\(541\) | −11.1218 | + | 6.42119i | −0.478165 | + | 0.276069i | −0.719651 | − | 0.694336i | \(-0.755698\pi\) |
0.241486 | + | 0.970404i | \(0.422365\pi\) | |||||||
\(542\) | −8.62136 | + | 7.23418i | −0.370319 | + | 0.310734i | ||||
\(543\) | 9.88364 | + | 27.1551i | 0.424148 | + | 1.16534i | ||||
\(544\) | 0.604466 | − | 1.04697i | 0.0259162 | − | 0.0448883i | ||||
\(545\) | −2.94467 | + | 7.08140i | −0.126136 | + | 0.303334i | ||||
\(546\) | 18.8608 | + | 15.8261i | 0.807169 | + | 0.677295i | ||||
\(547\) | 4.82218 | − | 8.35226i | 0.206182 | − | 0.357117i | −0.744327 | − | 0.667815i | \(-0.767230\pi\) |
0.950509 | + | 0.310698i | \(0.100563\pi\) | |||||||
\(548\) | 15.4662 | − | 2.72711i | 0.660684 | − | 0.116496i | ||||
\(549\) | 3.76517i | 0.160694i | ||||||||
\(550\) | 28.0881 | + | 2.53552i | 1.19768 | + | 0.108115i | ||||
\(551\) | 1.58327 | − | 1.32852i | 0.0674497 | − | 0.0565970i | ||||
\(552\) | −1.32561 | + | 3.64207i | −0.0564215 | + | 0.155017i | ||||
\(553\) | −15.6440 | + | 5.69393i | −0.665249 | + | 0.242131i | ||||
\(554\) | −1.92824 | −0.0819229 | ||||||||
\(555\) | 21.5323 | − | 17.1242i | 0.913996 | − | 0.726881i | ||||
\(556\) | 12.8441 | 0.544709 | ||||||||
\(557\) | −37.9861 | + | 13.8258i | −1.60952 | + | 0.585819i | −0.981346 | − | 0.192251i | \(-0.938421\pi\) |
−0.628178 | + | 0.778070i | \(0.716199\pi\) | |||||||
\(558\) | 3.60761 | − | 9.91182i | 0.152722 | − | 0.419601i | ||||
\(559\) | 1.49855 | − | 1.25744i | 0.0633821 | − | 0.0531839i | ||||
\(560\) | −3.53661 | + | 3.84886i | −0.149449 | + | 0.162644i | ||||
\(561\) | 13.7925i | 0.582321i | ||||||||
\(562\) | 20.0874 | − | 3.54195i | 0.847336 | − | 0.149408i | ||||
\(563\) | 6.28950 | − | 10.8937i | 0.265071 | − | 0.459116i | −0.702511 | − | 0.711673i | \(-0.747938\pi\) |
0.967582 | + | 0.252556i | \(0.0812713\pi\) | |||||||
\(564\) | 0.675375 | + | 0.566707i | 0.0284384 | + | 0.0238627i | ||||
\(565\) | 23.3338 | + | 9.70291i | 0.981659 | + | 0.408204i | ||||
\(566\) | −10.1184 | + | 17.5255i | −0.425307 | + | 0.736654i | ||||
\(567\) | 8.86076 | + | 24.3448i | 0.372117 | + | 1.02238i | ||||
\(568\) | −2.75450 | + | 2.31130i | −0.115576 | + | 0.0969800i | ||||
\(569\) | 25.6300 | − | 14.7975i | 1.07446 | − | 0.620343i | 0.145067 | − | 0.989422i | \(-0.453660\pi\) |
0.929398 | + | 0.369079i | \(0.120327\pi\) | |||||||
\(570\) | 8.18261 | + | 15.7717i | 0.342732 | + | 0.660606i | ||||
\(571\) | 0.00105313 | − | 0.00597260i | 4.40722e−5 | − | 0.000249946i | −0.984786 | − | 0.173773i | \(-0.944404\pi\) |
0.984830 | + | 0.173523i | \(0.0555152\pi\) | |||||||
\(572\) | 22.5000 | + | 18.8798i | 0.940773 | + | 0.789403i | ||||
\(573\) | −28.2281 | − | 10.2742i | −1.17924 | − | 0.429210i | ||||
\(574\) | −8.01949 | + | 22.0334i | −0.334727 | + | 0.919655i | ||||
\(575\) | 7.86334 | − | 5.47369i | 0.327924 | − | 0.228269i | ||||
\(576\) | −0.189491 | + | 1.07466i | −0.00789546 | + | 0.0447774i | ||||
\(577\) | 3.96173 | − | 22.4681i | 0.164929 | − | 0.935358i | −0.784209 | − | 0.620497i | \(-0.786931\pi\) |
0.949138 | − | 0.314861i | \(-0.101958\pi\) | |||||||
\(578\) | 7.76924 | + | 13.4567i | 0.323158 | + | 0.559726i | ||||
\(579\) | −29.8994 | − | 35.6328i | −1.24258 | − | 1.48085i | ||||
\(580\) | −0.991303 | − | 0.633455i | −0.0411616 | − | 0.0263028i | ||||
\(581\) | 9.55665 | − | 16.5526i | 0.396476 | − | 0.686717i | ||||
\(582\) | −3.25532 | + | 1.87946i | −0.134937 | + | 0.0779062i | ||||
\(583\) | −44.5543 | + | 53.0978i | −1.84525 | + | 2.19908i | ||||
\(584\) | −11.6790 | − | 6.74285i | −0.483278 | − | 0.279021i | ||||
\(585\) | −9.35617 | − | 8.59713i | −0.386830 | − | 0.355448i | ||||
\(586\) | 30.1148i | 1.24403i | ||||||||
\(587\) | 5.16800 | + | 29.3092i | 0.213306 | + | 1.20972i | 0.883821 | + | 0.467824i | \(0.154962\pi\) |
−0.670515 | + | 0.741896i | \(0.733927\pi\) | |||||||
\(588\) | −1.99670 | − | 2.37957i | −0.0823425 | − | 0.0981319i | ||||
\(589\) | 35.6831 | + | 12.9876i | 1.47030 | + | 0.535144i | ||||
\(590\) | −27.7626 | − | 17.7407i | −1.14297 | − | 0.730371i | ||||
\(591\) | −6.64887 | −0.273498 | ||||||||
\(592\) | 0.113962 | + | 6.08169i | 0.00468380 | + | 0.249956i | ||||
\(593\) | − | 14.2817i | − | 0.586478i | −0.956039 | − | 0.293239i | \(-0.905267\pi\) | ||
0.956039 | − | 0.293239i | \(-0.0947331\pi\) | |||||||
\(594\) | 7.44812 | + | 20.4635i | 0.305600 | + | 0.839629i | ||||
\(595\) | 1.89186 | + | 6.02921i | 0.0775587 | + | 0.247173i | ||||
\(596\) | −9.53900 | + | 8.00417i | −0.390733 | + | 0.327864i | ||||
\(597\) | 6.08946 | + | 34.5350i | 0.249225 | + | 1.41342i | ||||
\(598\) | 9.97813 | 0.408036 | ||||||||
\(599\) | 2.69109 | + | 15.2619i | 0.109955 | + | 0.623586i | 0.989125 | + | 0.147077i | \(0.0469866\pi\) |
−0.879170 | + | 0.476508i | \(0.841902\pi\) | |||||||
\(600\) | 7.17096 | − | 7.13149i | 0.292753 | − | 0.291142i | ||||
\(601\) | −23.7239 | − | 19.9067i | −0.967717 | − | 0.812011i | 0.0144738 | − | 0.999895i | \(-0.495393\pi\) |
−0.982191 | + | 0.187884i | \(0.939837\pi\) | |||||||
\(602\) | 0.760503 | − | 0.439077i | 0.0309958 | − | 0.0178954i | ||||
\(603\) | −9.22561 | − | 5.32641i | −0.375696 | − | 0.216908i | ||||
\(604\) | −7.13149 | + | 2.59565i | −0.290176 | + | 0.105615i | ||||
\(605\) | 10.1366 | − | 45.4263i | 0.412110 | − | 1.84684i | ||||
\(606\) | 24.1407 | − | 13.9376i | 0.980647 | − | 0.566177i | ||||
\(607\) | −0.865932 | + | 4.91095i | −0.0351471 | + | 0.199329i | −0.997325 | − | 0.0730921i | \(-0.976713\pi\) |
0.962178 | + | 0.272421i | \(0.0878244\pi\) | |||||||
\(608\) | −3.86882 | − | 0.682178i | −0.156901 | − | 0.0276660i | ||||
\(609\) | −1.59895 | + | 1.90556i | −0.0647928 | + | 0.0772170i | ||||
\(610\) | 2.30987 | + | 7.36139i | 0.0935241 | + | 0.298054i | ||||
\(611\) | 0.776300 | − | 2.13287i | 0.0314057 | − | 0.0862865i | ||||
\(612\) | 1.01059 | + | 0.847983i | 0.0408506 | + | 0.0342777i | ||||
\(613\) | 5.06673 | + | 0.893401i | 0.204643 | + | 0.0360841i | 0.275030 | − | 0.961436i | \(-0.411312\pi\) |
−0.0703867 | + | 0.997520i | \(0.522423\pi\) | |||||||
\(614\) | −14.4837 | − | 2.55387i | −0.584515 | − | 0.103066i | ||||
\(615\) | 17.4191 | − | 41.8898i | 0.702405 | − | 1.68916i | ||||
\(616\) | 8.47517 | + | 10.1003i | 0.341474 | + | 0.406953i | ||||
\(617\) | −2.86345 | − | 7.86726i | −0.115278 | − | 0.316724i | 0.868613 | − | 0.495490i | \(-0.165012\pi\) |
−0.983892 | + | 0.178766i | \(0.942789\pi\) | |||||||
\(618\) | 4.07609 | + | 2.35333i | 0.163964 | + | 0.0946648i | ||||
\(619\) | 13.9305 | + | 24.1283i | 0.559912 | + | 0.969797i | 0.997503 | + | 0.0706224i | \(0.0224985\pi\) |
−0.437591 | + | 0.899174i | \(0.644168\pi\) | |||||||
\(620\) | 0.972583 | − | 21.5921i | 0.0390599 | − | 0.867158i | ||||
\(621\) | 6.40687 | + | 3.69901i | 0.257099 | + | 0.148436i | ||||
\(622\) | −24.9131 | + | 4.39286i | −0.998925 | + | 0.176137i | ||||
\(623\) | −12.9447 | −0.518620 | ||||||||
\(624\) | 10.3727 | − | 1.82899i | 0.415241 | − | 0.0732182i | ||||
\(625\) | −24.6438 | + | 4.20525i | −0.985751 | + | 0.168210i | ||||
\(626\) | 7.28654 | + | 2.65208i | 0.291229 | + | 0.105999i | ||||
\(627\) | 42.1168 | − | 15.3293i | 1.68198 | − | 0.612192i | ||||
\(628\) | − | 5.09987i | − | 0.203507i | ||||||
\(629\) | 6.43621 | + | 3.55686i | 0.256628 | + | 0.141821i | ||||
\(630\) | −3.46604 | − | 4.52996i | −0.138090 | − | 0.180478i | ||||
\(631\) | −13.0565 | − | 35.8726i | −0.519773 | − | 1.42806i | −0.870771 | − | 0.491688i | \(-0.836380\pi\) |
0.350998 | − | 0.936376i | \(-0.385842\pi\) | |||||||
\(632\) | −2.43583 | + | 6.69238i | −0.0968921 | + | 0.266209i | ||||
\(633\) | −2.51618 | − | 2.99866i | −0.100009 | − | 0.119186i | ||||
\(634\) | 10.5554 | − | 1.86121i | 0.419210 | − | 0.0739179i | ||||
\(635\) | −8.76438 | − | 11.4547i | −0.347804 | − | 0.454564i | ||||
\(636\) | 4.31623 | + | 24.4785i | 0.171150 | + | 0.970637i | ||||
\(637\) | −3.99854 | + | 6.92568i | −0.158428 | + | 0.274405i | ||||
\(638\) | −1.90747 | + | 2.27323i | −0.0755174 | + | 0.0899982i | ||||
\(639\) | −1.96190 | − | 3.39811i | −0.0776116 | − | 0.134427i | ||||
\(640\) | 0.288806 | + | 2.21734i | 0.0114161 | + | 0.0876480i | ||||
\(641\) | −22.9618 | + | 8.35740i | −0.906936 | + | 0.330098i | −0.753029 | − | 0.657988i | \(-0.771408\pi\) |
−0.153907 | + | 0.988085i | \(0.549186\pi\) | |||||||
\(642\) | 8.26331 | − | 6.93374i | 0.326127 | − | 0.273653i | ||||
\(643\) | 17.8933 | + | 30.9921i | 0.705642 | + | 1.22221i | 0.966459 | + | 0.256820i | \(0.0826747\pi\) |
−0.260817 | + | 0.965388i | \(0.583992\pi\) | |||||||
\(644\) | 4.41116 | + | 0.777806i | 0.173824 | + | 0.0306499i | ||||
\(645\) | −1.50819 | + | 0.782473i | −0.0593851 | + | 0.0308098i | ||||
\(646\) | −3.05279 | + | 3.63817i | −0.120110 | + | 0.143142i | ||||
\(647\) | −25.9387 | − | 9.44093i | −1.01976 | − | 0.371161i | −0.222585 | − | 0.974913i | \(-0.571450\pi\) |
−0.797172 | + | 0.603752i | \(0.793672\pi\) | |||||||
\(648\) | 10.4145 | + | 3.79058i | 0.409121 | + | 0.148908i | ||||
\(649\) | −53.4210 | + | 63.6646i | −2.09696 | + | 2.49905i | ||||
\(650\) | −23.5667 | − | 11.0686i | −0.924362 | − | 0.434147i | ||||
\(651\) | −45.0084 | − | 7.93620i | −1.76402 | − | 0.311044i | ||||
\(652\) | −0.268981 | − | 0.465889i | −0.0105341 | − | 0.0182456i | ||||
\(653\) | 17.7581 | − | 14.9008i | 0.694928 | − | 0.583114i | −0.225398 | − | 0.974267i | \(-0.572368\pi\) |
0.920326 | + | 0.391153i | \(0.127924\pi\) | |||||||
\(654\) | 6.51900 | − | 2.37272i | 0.254913 | − | 0.0927807i | ||||
\(655\) | 11.6219 | − | 1.51373i | 0.454104 | − | 0.0591465i | ||||
\(656\) | 5.01533 | + | 8.68680i | 0.195816 | + | 0.339163i | ||||
\(657\) | 9.45930 | − | 11.2732i | 0.369042 | − | 0.439808i | ||||
\(658\) | 0.509448 | − | 0.882390i | 0.0198603 | − | 0.0343991i | ||||
\(659\) | −3.60474 | − | 20.4435i | −0.140421 | − | 0.796366i | −0.970931 | − | 0.239361i | \(-0.923062\pi\) |
0.830510 | − | 0.557004i | \(-0.188049\pi\) | |||||||
\(660\) | −15.5022 | − | 20.2606i | −0.603421 | − | 0.788645i | ||||
\(661\) | 24.5168 | − | 4.32297i | 0.953593 | − | 0.168144i | 0.324857 | − | 0.945763i | \(-0.394684\pi\) |
0.628736 | + | 0.777619i | \(0.283573\pi\) | |||||||
\(662\) | −15.3267 | − | 18.2656i | −0.595689 | − | 0.709914i | ||||
\(663\) | 4.35506 | − | 11.9654i | 0.169137 | − | 0.464699i | ||||
\(664\) | −2.79654 | − | 7.68344i | −0.108527 | − | 0.298175i | ||||
\(665\) | 16.3081 | − | 12.4779i | 0.632402 | − | 0.483874i | ||||
\(666\) | −6.55733 | − | 1.02996i | −0.254091 | − | 0.0399100i | ||||
\(667\) | 1.00812i | 0.0390344i | ||||||||
\(668\) | −5.36695 | + | 1.95341i | −0.207653 | + | 0.0755797i | ||||
\(669\) | −9.42719 | − | 3.43122i | −0.364476 | − | 0.132659i | ||||
\(670\) | −21.3049 | − | 4.75403i | −0.823080 | − | 0.183664i | ||||
\(671\) | 19.1661 | − | 3.37950i | 0.739899 | − | 0.130464i | ||||
\(672\) | 4.72817 | 0.182393 | ||||||||
\(673\) | −1.37378 | + | 0.242235i | −0.0529554 | + | 0.00933747i | −0.200063 | − | 0.979783i | \(-0.564115\pi\) |
0.147108 | + | 0.989120i | \(0.453004\pi\) | |||||||
\(674\) | 12.5785 | + | 7.26218i | 0.484505 | + | 0.279729i | ||||
\(675\) | −11.0287 | − | 15.8435i | −0.424495 | − | 0.609816i | ||||
\(676\) | −7.05806 | − | 12.2249i | −0.271464 | − | 0.470189i | ||||
\(677\) | 3.97087 | + | 2.29258i | 0.152613 | + | 0.0881112i | 0.574362 | − | 0.818602i | \(-0.305250\pi\) |
−0.421749 | + | 0.906713i | \(0.638584\pi\) | |||||||
\(678\) | −7.81830 | − | 21.4806i | −0.300260 | − | 0.824957i | ||||
\(679\) | 2.79235 | + | 3.32779i | 0.107160 | + | 0.127709i | ||||
\(680\) | 2.49605 | + | 1.03793i | 0.0957191 | + | 0.0398030i | ||||
\(681\) | 57.5314 | + | 10.1443i | 2.20461 | + | 0.388732i | ||||
\(682\) | −53.6928 | − | 9.46749i | −2.05600 | − | 0.362529i | ||||
\(683\) | 5.70651 | + | 4.78833i | 0.218354 | + | 0.183220i | 0.745403 | − | 0.666614i | \(-0.232257\pi\) |
−0.527049 | + | 0.849835i | \(0.676702\pi\) | |||||||
\(684\) | 1.46621 | − | 4.02839i | 0.0560621 | − | 0.154029i | ||||
\(685\) | 10.5137 | + | 33.5062i | 0.401706 | + | 1.28021i | ||||
\(686\) | −12.8255 | + | 15.2848i | −0.489680 | + | 0.583578i | ||||
\(687\) | 32.7221 | + | 5.76979i | 1.24843 | + | 0.220131i | ||||
\(688\) | 0.0652341 | − | 0.369961i | 0.00248703 | − | 0.0141046i | ||||
\(689\) | 55.4181 | − | 31.9956i | 2.11126 | − | 1.21894i | ||||
\(690\) | −8.45855 | − | 1.88746i | −0.322012 | − | 0.0718545i | ||||
\(691\) | 44.4223 | − | 16.1684i | 1.68991 | − | 0.615075i | 0.695292 | − | 0.718728i | \(-0.255275\pi\) |
0.994614 | + | 0.103652i | \(0.0330530\pi\) | |||||||
\(692\) | −8.65859 | − | 4.99904i | −0.329150 | − | 0.190035i | ||||
\(693\) | −12.4603 | + | 7.19398i | −0.473329 | + | 0.273277i | ||||
\(694\) | 7.64924 | + | 6.41847i | 0.290361 | + | 0.243642i | ||||
\(695\) | 3.70944 | + | 28.4796i | 0.140707 | + | 1.08029i | ||||
\(696\) | 0.184787 | + | 1.04798i | 0.00700435 | + | 0.0397236i | ||||
\(697\) | 12.1264 | 0.459319 | ||||||||
\(698\) | −3.74845 | − | 21.2585i | −0.141881 | − | 0.804646i | ||||
\(699\) | −3.39921 | + | 2.85228i | −0.128570 | + | 0.107883i | ||||
\(700\) | −9.55561 | − | 6.73029i | −0.361168 | − | 0.254381i | ||||
\(701\) | −0.491784 | − | 1.35117i | −0.0185744 | − | 0.0510329i | 0.930059 | − | 0.367410i | \(-0.119756\pi\) |
−0.948633 | + | 0.316378i | \(0.897533\pi\) | |||||||
\(702\) | − | 20.1045i | − | 0.758796i | ||||||
\(703\) | 3.70790 | − | 23.6067i | 0.139846 | − | 0.890345i | ||||
\(704\) | 5.64047 | 0.212583 | ||||||||
\(705\) | −1.06153 | + | 1.66120i | −0.0399795 | + | 0.0625646i | ||||
\(706\) | −32.9801 | − | 12.0038i | −1.24122 | − | 0.451768i | ||||
\(707\) | −20.7073 | − | 24.6781i | −0.778780 | − | 0.928114i | ||||
\(708\) | 5.17519 | + | 29.3500i | 0.194496 | + | 1.10304i | ||||
\(709\) | − | 3.88620i | − | 0.145949i | −0.997334 | − | 0.0729746i | \(-0.976751\pi\) | ||
0.997334 | − | 0.0729746i | \(-0.0232492\pi\) | |||||||
\(710\) | −5.92045 | − | 5.44014i | −0.222191 | − | 0.204165i | ||||
\(711\) | −6.73045 | − | 3.88583i | −0.252412 | − | 0.145730i | ||||
\(712\) | −3.55955 | + | 4.24210i | −0.133400 | + | 0.158980i | ||||
\(713\) | −16.0404 | + | 9.26094i | −0.600718 | + | 0.346825i | ||||
\(714\) | 2.85801 | − | 4.95023i | 0.106959 | − | 0.185258i | ||||
\(715\) | −35.3647 | + | 55.3428i | −1.32256 | + | 2.06970i | ||||
\(716\) | 5.04020 | + | 6.00668i | 0.188361 | + | 0.224480i | ||||
\(717\) | −1.80685 | − | 3.12956i | −0.0674781 | − | 0.116875i | ||||
\(718\) | −2.36444 | + | 13.4094i | −0.0882402 | + | 0.500435i | ||||
\(719\) | −5.72952 | + | 32.4937i | −0.213675 | + | 1.21181i | 0.669516 | + | 0.742798i | \(0.266502\pi\) |
−0.883191 | + | 0.469014i | \(0.844610\pi\) | |||||||
\(720\) | −2.43760 | − | 0.109798i | −0.0908441 | − | 0.00409194i | ||||
\(721\) | 1.86039 | − | 5.11137i | 0.0692844 | − | 0.190357i | ||||
\(722\) | −3.35174 | − | 1.21993i | −0.124739 | − | 0.0454013i | ||||
\(723\) | 3.72988 | + | 3.12974i | 0.138716 | + | 0.116396i | ||||
\(724\) | 2.48090 | − | 14.0699i | 0.0922017 | − | 0.522902i | ||||
\(725\) | 1.11829 | − | 2.38100i | 0.0415322 | − | 0.0884282i | ||||
\(726\) | −36.4613 | + | 21.0509i | −1.35321 | + | 0.781274i | ||||
\(727\) | 37.3362 | − | 31.3288i | 1.38472 | − | 1.16192i | 0.417296 | − | 0.908771i | \(-0.362978\pi\) |
0.967427 | − | 0.253150i | \(-0.0814665\pi\) | |||||||
\(728\) | −4.16324 | − | 11.4384i | −0.154300 | − | 0.423935i | ||||
\(729\) | 5.66678 | − | 9.81515i | 0.209881 | − | 0.363524i | ||||
\(730\) | 11.5782 | − | 27.8436i | 0.428529 | − | 1.03054i | ||||
\(731\) | −0.347905 | − | 0.291927i | −0.0128677 | − | 0.0107973i | ||||
\(732\) | 3.48951 | − | 6.04400i | 0.128976 | − | 0.223393i | ||||
\(733\) | 48.7407 | − | 8.59429i | 1.80028 | − | 0.317437i | 0.829697 | − | 0.558214i | \(-0.188513\pi\) |
0.970581 | + | 0.240777i | \(0.0774021\pi\) | |||||||
\(734\) | − | 9.44928i | − | 0.348779i | ||||||
\(735\) | 4.69966 | − | 5.11459i | 0.173350 | − | 0.188655i | ||||
\(736\) | 1.46788 | − | 1.23169i | 0.0541066 | − | 0.0454009i | ||||
\(737\) | −18.8327 | + | 51.7425i | −0.693712 | + | 1.90596i | ||||
\(738\) | −10.2857 | + | 3.74368i | −0.378621 | + | 0.137807i | ||||
\(739\) | 2.50907 | 0.0922975 | 0.0461488 | − | 0.998935i | \(-0.485305\pi\) | ||||
0.0461488 | + | 0.998935i | \(0.485305\pi\) | |||||||
\(740\) | −13.4523 | + | 2.00912i | −0.494515 | + | 0.0738568i | ||||
\(741\) | −41.3779 | −1.52005 | ||||||||
\(742\) | 26.9935 | − | 9.82481i | 0.990961 | − | 0.360680i | ||||
\(743\) | −5.62450 | + | 15.4532i | −0.206343 | + | 0.566922i | −0.999091 | − | 0.0426270i | \(-0.986427\pi\) |
0.792748 | + | 0.609549i | \(0.208650\pi\) | |||||||
\(744\) | −14.9772 | + | 12.5674i | −0.549091 | + | 0.460742i | ||||
\(745\) | −20.5029 | − | 18.8395i | −0.751167 | − | 0.690227i | ||||
\(746\) | 8.97981i | 0.328774i | ||||||||
\(747\) | 8.78698 | − | 1.54938i | 0.321499 | − | 0.0566889i | ||||
\(748\) | 3.40947 | − | 5.90537i | 0.124663 | − | 0.215922i | ||||
\(749\) | −9.54976 | − | 8.01320i | −0.348941 | − | 0.292796i | ||||
\(750\) | 17.8839 | + | 13.8408i | 0.653030 | + | 0.505396i | ||||
\(751\) | −23.7151 | + | 41.0757i | −0.865376 | + | 1.49887i | 0.00129764 | + | 0.999999i | \(0.499587\pi\) |
−0.866673 | + | 0.498876i | \(0.833746\pi\) | |||||||
\(752\) | −0.149079 | − | 0.409591i | −0.00543634 | − | 0.0149362i | ||||
\(753\) | 36.8592 | − | 30.9285i | 1.34322 | − | 1.12710i | ||||
\(754\) | 2.37257 | − | 1.36980i | 0.0864039 | − | 0.0498853i | ||||
\(755\) | −7.81505 | − | 15.0633i | −0.284419 | − | 0.548209i | ||||
\(756\) | 1.56717 | − | 8.88785i | 0.0569974 | − | 0.323248i | ||||
\(757\) | −31.3724 | − | 26.3246i | −1.14025 | − | 0.956783i | −0.140803 | − | 0.990038i | \(-0.544968\pi\) |
−0.999447 | + | 0.0332547i | \(0.989413\pi\) | |||||||
\(758\) | 31.8423 | + | 11.5896i | 1.15656 | + | 0.420955i | ||||
\(759\) | −7.47704 | + | 20.5430i | −0.271399 | + | 0.745664i | ||||
\(760\) | 0.395280 | − | 8.77551i | 0.0143383 | − | 0.318321i | ||||
\(761\) | −2.90203 | + | 16.4582i | −0.105199 | + | 0.596610i | 0.885942 | + | 0.463795i | \(0.153513\pi\) |
−0.991141 | + | 0.132815i | \(0.957598\pi\) | |||||||
\(762\) | −2.26552 | + | 12.8484i | −0.0820713 | + | 0.465450i | ||||
\(763\) | −4.00870 | − | 6.94327i | −0.145125 | − | 0.251363i | ||||
\(764\) | 9.54631 | + | 11.3768i | 0.345373 | + | 0.411600i | ||||
\(765\) | −1.58840 | + | 2.48572i | −0.0574288 | + | 0.0898713i | ||||
\(766\) | 15.5750 | − | 26.9767i | 0.562747 | − | 0.974707i | ||||
\(767\) | 66.4467 | − | 38.3630i | 2.39925 | − | 1.38521i | ||||
\(768\) | 1.30015 | − | 1.54946i | 0.0469153 | − | 0.0559114i | ||||
\(769\) | 8.30162 | + | 4.79294i | 0.299364 | + | 0.172838i | 0.642157 | − | 0.766573i | \(-0.278040\pi\) |
−0.342793 | + | 0.939411i | \(0.611373\pi\) | |||||||
\(770\) | −19.9481 | + | 21.7094i | −0.718881 | + | 0.782351i | ||||
\(771\) | 8.65515i | 0.311708i | ||||||||
\(772\) | 3.99336 | + | 22.6475i | 0.143724 | + | 0.815101i | ||||
\(773\) | 9.74321 | + | 11.6115i | 0.350439 | + | 0.417637i | 0.912253 | − | 0.409627i | \(-0.134341\pi\) |
−0.561814 | + | 0.827263i | \(0.689897\pi\) | |||||||
\(774\) | 0.385220 | + | 0.140209i | 0.0138464 | + | 0.00503969i | ||||
\(775\) | 48.1578 | − | 4.07938i | 1.72988 | − | 0.146535i | ||||
\(776\) | 1.85839 | 0.0667122 | ||||||||
\(777\) | 0.538831 | + | 28.7553i | 0.0193304 | + | 1.03159i | ||||
\(778\) | − | 19.4442i | − | 0.697109i | ||||||
\(779\) | −13.4775 | − | 37.0290i | −0.482880 | − | 1.32670i | ||||
\(780\) | 7.05119 | + | 22.4716i | 0.252473 | + | 0.804612i | ||||
\(781\) | −15.5367 | + | 13.0368i | −0.555946 | + | 0.466494i | ||||
\(782\) | −0.402260 | − | 2.28133i | −0.0143848 | − | 0.0815803i | ||||
\(783\) | 2.03121 | 0.0725895 | ||||||||
\(784\) | 0.266679 | + | 1.51241i | 0.00952423 | + | 0.0540146i | ||||
\(785\) | 11.3081 | − | 1.47287i | 0.403605 | − | 0.0525691i | ||||
\(786\) | −8.12128 | − | 6.81457i | −0.289677 | − | 0.243068i | ||||
\(787\) | 44.8503 | − | 25.8943i | 1.59874 | − | 0.923032i | 0.607008 | − | 0.794696i | \(-0.292369\pi\) |
0.991731 | − | 0.128337i | \(-0.0409638\pi\) | |||||||
\(788\) | 2.84676 | + | 1.64358i | 0.101412 | + | 0.0585500i | ||||
\(789\) | 13.4035 | − | 4.87849i | 0.477178 | − | 0.173679i | ||||
\(790\) | −15.5428 | − | 3.46826i | −0.552987 | − | 0.123395i | ||||
\(791\) | −22.8786 | + | 13.2090i | −0.813470 | + | 0.469657i | ||||
\(792\) | −1.06882 | + | 6.06157i | −0.0379788 | + | 0.215388i | ||||
\(793\) | −17.6942 | − | 3.11997i | −0.628341 | − | 0.110793i | ||||
\(794\) | 8.07277 | − | 9.62075i | 0.286492 | − | 0.341428i | ||||
\(795\) | −53.0307 | + | 16.6401i | −1.88080 | + | 0.590163i | ||||
\(796\) | 5.92970 | − | 16.2917i | 0.210173 | − | 0.577445i | ||||
\(797\) | −28.7349 | − | 24.1115i | −1.01784 | − | 0.854072i | −0.0284883 | − | 0.999594i | \(-0.509069\pi\) |
−0.989355 | + | 0.145522i | \(0.953514\pi\) | |||||||
\(798\) | −18.2924 | − | 3.22545i | −0.647545 | − | 0.114180i | ||||
\(799\) | −0.518940 | − | 0.0915031i | −0.0183588 | − | 0.00323715i | ||||
\(800\) | −4.83318 | + | 1.28076i | −0.170879 | + | 0.0452818i | ||||
\(801\) | −3.88430 | − | 4.62913i | −0.137245 | − | 0.163562i | ||||
\(802\) | −2.29929 | − | 6.31723i | −0.0811906 | − | 0.223069i | ||||
\(803\) | −65.8748 | − | 38.0328i | −2.32467 | − | 1.34215i | ||||
\(804\) | 9.87287 | + | 17.1003i | 0.348189 | + | 0.603081i | ||||
\(805\) | −0.450690 | + | 10.0057i | −0.0158848 | + | 0.352653i | ||||
\(806\) | 43.5907 | + | 25.1671i | 1.53542 | + | 0.886473i | ||||
\(807\) | −3.34786 | + | 0.590317i | −0.117850 | + | 0.0207802i | ||||
\(808\) | −13.7813 | −0.484826 | ||||||||
\(809\) | 48.5880 | − | 8.56738i | 1.70826 | − | 0.301213i | 0.767695 | − | 0.640816i | \(-0.221404\pi\) |
0.940569 | + | 0.339603i | \(0.110293\pi\) | |||||||
\(810\) | −5.39722 | + | 24.1873i | −0.189639 | + | 0.849854i | ||||
\(811\) | 39.9002 | + | 14.5225i | 1.40109 | + | 0.509953i | 0.928500 | − | 0.371332i | \(-0.121099\pi\) |
0.472585 | + | 0.881285i | \(0.343321\pi\) | |||||||
\(812\) | 1.15565 | − | 0.420622i | 0.0405554 | − | 0.0147609i | ||||
\(813\) | 22.7640i | 0.798369i | ||||||||
\(814\) | 0.642798 | + | 34.3036i | 0.0225301 | + | 1.20234i | ||||
\(815\) | 0.955351 | − | 0.730975i | 0.0334645 | − | 0.0256049i | ||||
\(816\) | −0.836335 | − | 2.29781i | −0.0292776 | − | 0.0804395i | ||||
\(817\) | −0.504758 | + | 1.38681i | −0.0176593 | + | 0.0485184i | ||||
\(818\) | −19.5657 | − | 23.3175i | −0.684099 | − | 0.815277i | ||||
\(819\) | 13.0812 | − | 2.30658i | 0.457096 | − | 0.0805983i | ||||
\(820\) | −17.8131 | + | 13.6295i | −0.622061 | + | 0.475962i | ||||
\(821\) | −3.10782 | − | 17.6253i | −0.108464 | − | 0.615127i | −0.989780 | − | 0.142601i | \(-0.954453\pi\) |
0.881317 | − | 0.472526i | \(-0.156658\pi\) | |||||||
\(822\) | 15.8829 | − | 27.5100i | 0.553980 | − | 0.959521i | ||||
\(823\) | 16.0593 | − | 19.1387i | 0.559790 | − | 0.667132i | −0.409712 | − | 0.912215i | \(-0.634371\pi\) |
0.969502 | + | 0.245083i | \(0.0788152\pi\) | |||||||
\(824\) | −1.16347 | − | 2.01519i | −0.0405314 | − | 0.0702025i | ||||
\(825\) | 40.4476 | − | 40.2250i | 1.40820 | − | 1.40045i | ||||
\(826\) | 32.3654 | − | 11.7800i | 1.12613 | − | 0.409879i | ||||
\(827\) | −20.8712 | + | 17.5130i | −0.725763 | + | 0.608988i | −0.928973 | − | 0.370148i | \(-0.879307\pi\) |
0.203210 | + | 0.979135i | \(0.434863\pi\) | |||||||
\(828\) | 1.04550 | + | 1.81086i | 0.0363336 | + | 0.0629317i | ||||
\(829\) | −27.3053 | − | 4.81465i | −0.948351 | − | 0.167220i | −0.321981 | − | 0.946746i | \(-0.604349\pi\) |
−0.626370 | + | 0.779526i | \(0.715460\pi\) | |||||||
\(830\) | 16.2291 | − | 8.41991i | 0.563321 | − | 0.292259i | ||||
\(831\) | −2.50700 | + | 2.98773i | −0.0869670 | + | 0.103643i | ||||
\(832\) | −4.89327 | − | 1.78101i | −0.169644 | − | 0.0617453i | ||||
\(833\) | 1.74464 | + | 0.634996i | 0.0604481 | + | 0.0220013i | ||||
\(834\) | 16.6993 | − | 19.9014i | 0.578248 | − | 0.689129i | ||||
\(835\) | −5.88138 | − | 11.3362i | −0.203533 | − | 0.392305i | ||||
\(836\) | −21.8220 | − | 3.84780i | −0.754729 | − | 0.133079i | ||||
\(837\) | 18.6595 | + | 32.3191i | 0.644965 | + | 1.11711i | ||||
\(838\) | 22.3000 | − | 18.7119i | 0.770341 | − | 0.646393i | ||||
\(839\) | 8.60675 | − | 3.13260i | 0.297138 | − | 0.108149i | −0.189149 | − | 0.981948i | \(-0.560573\pi\) |
0.486287 | + | 0.873799i | \(0.338351\pi\) | |||||||
\(840\) | 1.36552 | + | 10.4839i | 0.0471150 | + | 0.361731i | ||||
\(841\) | −14.3616 | − | 24.8750i | −0.495228 | − | 0.857760i | ||||
\(842\) | −19.9534 | + | 23.7796i | −0.687640 | + | 0.819498i | ||||
\(843\) | 20.6286 | − | 35.7298i | 0.710486 | − | 1.23060i | ||||
\(844\) | 0.336060 | + | 1.90589i | 0.0115677 | + | 0.0656034i | ||||
\(845\) | 25.0684 | − | 19.1807i | 0.862378 | − | 0.659838i | ||||
\(846\) | 0.468418 | − | 0.0825948i | 0.0161046 | − | 0.00283967i | ||||
\(847\) | 31.2757 | + | 37.2730i | 1.07465 | + | 1.28071i | ||||
\(848\) | 4.20299 | − | 11.5476i | 0.144331 | − | 0.396547i | ||||
\(849\) | 13.9997 | + | 38.4640i | 0.480470 | + | 1.32008i | ||||
\(850\) | −1.58058 | + | 5.83435i | −0.0542134 | + | 0.200117i | ||||
\(851\) | 7.65807 | + | 8.78681i | 0.262515 | + | 0.301208i | ||||
\(852\) | 7.27304i | 0.249170i | ||||||||
\(853\) | −21.5945 | + | 7.85976i | −0.739382 | + | 0.269113i | −0.684131 | − | 0.729360i | \(-0.739818\pi\) |
−0.0552512 | + | 0.998472i | \(0.517596\pi\) | |||||||
\(854\) | −7.57911 | − | 2.75857i | −0.259352 | − | 0.0943963i | ||||
\(855\) | 9.35575 | + | 2.08767i | 0.319960 | + | 0.0713968i | ||||
\(856\) | −5.25199 | + | 0.926068i | −0.179509 | + | 0.0316524i | ||||
\(857\) | −39.1985 | −1.33900 | −0.669498 | − | 0.742814i | \(-0.733491\pi\) | ||||
−0.669498 | + | 0.742814i | \(0.733491\pi\) | |||||||
\(858\) | 58.5070 | − | 10.3164i | 1.99740 | − | 0.352195i | ||||
\(859\) | 6.15078 | + | 3.55116i | 0.209862 | + | 0.121164i | 0.601247 | − | 0.799063i | \(-0.294671\pi\) |
−0.391385 | + | 0.920227i | \(0.628004\pi\) | |||||||
\(860\) | 0.839169 | + | 0.0377991i | 0.0286154 | + | 0.00128894i | ||||
\(861\) | 23.7133 | + | 41.0727i | 0.808147 | + | 1.39975i | ||||
\(862\) | −23.4725 | − | 13.5518i | −0.799476 | − | 0.461578i | ||||
\(863\) | −6.12259 | − | 16.8217i | −0.208415 | − | 0.572616i | 0.790806 | − | 0.612067i | \(-0.209662\pi\) |
−0.999222 | + | 0.0394502i | \(0.987439\pi\) | |||||||
\(864\) | −2.48169 | − | 2.95756i | −0.0844287 | − | 0.100618i | ||||
\(865\) | 8.58391 | − | 20.6428i | 0.291862 | − | 0.701876i | ||||
\(866\) | −6.17487 | − | 1.08880i | −0.209831 | − | 0.0369988i | ||||
\(867\) | 30.9519 | + | 5.45766i | 1.05118 | + | 0.185352i | ||||
\(868\) | 17.3089 | + | 14.5239i | 0.587502 | + | 0.492972i | ||||
\(869\) | −13.7392 | + | 37.7482i | −0.466071 | + | 1.28052i | ||||
\(870\) | −2.27036 | + | 0.712399i | −0.0769725 | + | 0.0241526i | ||||
\(871\) | 32.6759 | − | 38.9416i | 1.10718 | − | 1.31949i | ||||
\(872\) | −3.37768 | − | 0.595577i | −0.114383 | − | 0.0201688i | ||||
\(873\) | −0.352147 | + | 1.99713i | −0.0119184 | + | 0.0675925i | ||||
\(874\) | −6.51919 | + | 3.76385i | −0.220515 | + | 0.127314i | ||||
\(875\) | 12.1636 | − | 23.1318i | 0.411205 | − | 0.781997i | ||||
\(876\) | −25.6322 | + | 9.32937i | −0.866033 | + | 0.315210i | ||||
\(877\) | −0.983933 | − | 0.568074i | −0.0332251 | − | 0.0191825i | 0.483295 | − | 0.875457i | \(-0.339440\pi\) |
−0.516521 | + | 0.856275i | \(0.672773\pi\) | |||||||
\(878\) | −8.52082 | + | 4.91950i | −0.287564 | + | 0.166025i | ||||
\(879\) | 46.6617 | + | 39.1538i | 1.57386 | + | 1.32063i | ||||
\(880\) | 1.62900 | + | 12.5068i | 0.0549136 | + | 0.421605i | ||||
\(881\) | −9.08692 | − | 51.5345i | −0.306146 | − | 1.73624i | −0.618060 | − | 0.786131i | \(-0.712081\pi\) |
0.311914 | − | 0.950110i | \(-0.399030\pi\) | |||||||
\(882\) | −1.67585 | −0.0564289 | ||||||||
\(883\) | −6.39680 | − | 36.2781i | −0.215270 | − | 1.22085i | −0.880438 | − | 0.474161i | \(-0.842751\pi\) |
0.665169 | − | 0.746693i | \(-0.268360\pi\) | |||||||
\(884\) | −4.82247 | + | 4.04653i | −0.162197 | + | 0.136100i | ||||
\(885\) | −63.5842 | + | 19.9516i | −2.13736 | + | 0.670666i | ||||
\(886\) | −5.92445 | − | 16.2773i | −0.199036 | − | 0.546847i | ||||
\(887\) | 29.0131i | 0.974165i | 0.873356 | + | 0.487083i | \(0.161939\pi\) | ||||
−0.873356 | + | 0.487083i | \(0.838061\pi\) | |||||||
\(888\) | 9.57153 | + | 7.73056i | 0.321199 | + | 0.259421i | ||||
\(889\) | 15.0778 | 0.505692 | ||||||||
\(890\) | −10.4342 | − | 6.66758i | −0.349755 | − | 0.223498i | ||||
\(891\) | 58.7428 | + | 21.3806i | 1.96796 | + | 0.716279i | ||||
\(892\) | 3.18814 | + | 3.79947i | 0.106747 | + | 0.127216i | ||||
\(893\) | 0.297346 | + | 1.68633i | 0.00995029 | + | 0.0564309i | ||||
\(894\) | 25.1870i | 0.842379i | ||||||||
\(895\) | −11.8632 | + | 12.9106i | −0.396543 | + | 0.431554i | ||||
\(896\) | −2.02440 | − | 1.16879i | −0.0676305 | − | 0.0390465i | ||||
\(897\) | 12.9731 | − | 15.4607i | 0.433159 | − | 0.516219i | ||||
\(898\) | 12.4279 | − | 7.17528i | 0.414726 | − | 0.239442i | ||||
\(899\) | −2.54269 | + | 4.40408i | −0.0848036 | + | 0.146884i | ||||
\(900\) | −0.460535 | − | 5.43670i | −0.0153512 | − | 0.181223i | ||||
\(901\) | −9.54940 | − | 11.3805i | −0.318137 | − | 0.379140i | ||||
\(902\) | 28.2888 | + | 48.9976i | 0.941914 | + | 1.63144i | ||||
\(903\) | 0.308438 | − | 1.74924i | 0.0102642 | − | 0.0582110i | ||||
\(904\) | −1.96247 | + | 11.1297i | −0.0652709 | + | 0.370169i | ||||
\(905\) | 31.9141 | + | 1.43752i | 1.06086 | + | 0.0477849i | ||||
\(906\) | −5.25017 | + | 14.4247i | −0.174425 | + | 0.479229i | ||||
\(907\) | −8.63250 | − | 3.14197i | −0.286637 | − | 0.104327i | 0.194700 | − | 0.980863i | \(-0.437627\pi\) |
−0.481337 | + | 0.876535i | \(0.659849\pi\) | |||||||
\(908\) | −22.1248 | − | 18.5650i | −0.734239 | − | 0.616100i | ||||
\(909\) | 2.61144 | − | 14.8102i | 0.0866160 | − | 0.491224i | ||||
\(910\) | 24.1604 | − | 12.5348i | 0.800911 | − | 0.415524i | ||||
\(911\) | −5.01146 | + | 2.89337i | −0.166037 | + | 0.0958615i | −0.580716 | − | 0.814106i | \(-0.697227\pi\) |
0.414679 | + | 0.909968i | \(0.363894\pi\) | |||||||
\(912\) | −6.08707 | + | 5.10766i | −0.201563 | + | 0.169132i | ||||
\(913\) | −15.7738 | − | 43.3382i | −0.522037 | − | 1.43429i | ||||
\(914\) | −5.83714 | + | 10.1102i | −0.193075 | + | 0.334416i | ||||
\(915\) | 14.4094 | + | 5.99187i | 0.476360 | + | 0.198085i | ||||
\(916\) | −12.5839 | − | 10.5592i | −0.415785 | − | 0.348885i | ||||
\(917\) | −6.12603 | + | 10.6106i | −0.202299 | + | 0.350393i | ||||
\(918\) | −4.59656 | + | 0.810497i | −0.151709 | + | 0.0267504i | ||||
\(919\) | − | 44.8546i | − | 1.47962i | −0.672817 | − | 0.739809i | \(-0.734916\pi\) | ||
0.672817 | − | 0.739809i | \(-0.265084\pi\) | |||||||
\(920\) | 3.15502 | + | 2.89906i | 0.104018 | + | 0.0955791i | ||||
\(921\) | −22.7882 | + | 19.1215i | −0.750896 | + | 0.630076i | ||||
\(922\) | −1.37624 | + | 3.78118i | −0.0453239 | + | 0.124526i | ||||
\(923\) | 17.5950 | − | 6.40405i | 0.579146 | − | 0.210792i | ||||
\(924\) | 26.6691 | 0.877349 | ||||||||
\(925\) | −8.34000 | − | 29.2480i | −0.274218 | − | 0.961668i | ||||
\(926\) | 6.71681 | 0.220728 | ||||||||
\(927\) | 2.38611 | − | 0.868472i | 0.0783700 | − | 0.0285244i | ||||
\(928\) | 0.179939 | − | 0.494380i | 0.00590680 | − | 0.0162288i | ||||
\(929\) | 15.1319 | − | 12.6971i | 0.496460 | − | 0.416580i | −0.359874 | − | 0.933001i | \(-0.617180\pi\) |
0.856335 | + | 0.516421i | \(0.172736\pi\) | |||||||
\(930\) | −32.1916 | − | 29.5800i | −1.05560 | − | 0.969966i | ||||
\(931\) | − | 6.03316i | − | 0.197729i | ||||||
\(932\) | 2.16047 | − | 0.380949i | 0.0707686 | − | 0.0124784i | ||||
\(933\) | −25.5843 | + | 44.3134i | −0.837593 | + | 1.45075i | ||||
\(934\) | 13.2337 | + | 11.1044i | 0.433019 | + | 0.363346i | ||||
\(935\) | 14.0789 | + | 5.85444i | 0.460429 | + | 0.191461i | ||||
\(936\) | 2.84120 | − | 4.92111i | 0.0928676 | − | 0.160851i | ||||
\(937\) | 14.8917 | + | 40.9145i | 0.486489 | + | 1.33662i | 0.903839 | + | 0.427872i | \(0.140737\pi\) |
−0.417350 | + | 0.908746i | \(0.637041\pi\) | |||||||
\(938\) | 17.4810 | − | 14.6683i | 0.570774 | − | 0.478936i | ||||
\(939\) | 13.5829 | − | 7.84211i | 0.443262 | − | 0.255918i | ||||
\(940\) | 0.865146 | − | 0.448850i | 0.0282180 | − | 0.0146399i | ||||
\(941\) | −0.191021 | + | 1.08333i | −0.00622710 | + | 0.0353157i | −0.987763 | − | 0.155962i | \(-0.950152\pi\) |
0.981536 | + | 0.191278i | \(0.0612632\pi\) | |||||||
\(942\) | −7.90206 | − | 6.63062i | −0.257463 | − | 0.216037i | ||||
\(943\) | 18.0614 | + | 6.57380i | 0.588159 | + | 0.214072i | ||||
\(944\) | 5.03942 | − | 13.8457i | 0.164019 | − | 0.450639i | ||||
\(945\) | 20.1600 | + | 0.908077i | 0.655804 | + | 0.0295397i | ||||
\(946\) | 0.367951 | − | 2.08675i | 0.0119631 | − | 0.0678462i | ||||
\(947\) | 1.39512 | − | 7.91211i | 0.0453352 | − | 0.257109i | −0.953713 | − | 0.300717i | \(-0.902774\pi\) |
0.999049 | + | 0.0436079i | \(0.0138852\pi\) | |||||||
\(948\) | 7.20265 | + | 12.4754i | 0.233931 | + | 0.405181i | ||||
\(949\) | 45.1393 | + | 53.7949i | 1.46528 | + | 1.74626i | ||||
\(950\) | 19.5724 | − | 1.65795i | 0.635013 | − | 0.0537910i | ||||
\(951\) | 10.8398 | − | 18.7751i | 0.351505 | − | 0.608824i | ||||
\(952\) | −2.44736 | + | 1.41298i | −0.0793194 | + | 0.0457951i | ||||
\(953\) | 8.75162 | − | 10.4298i | 0.283493 | − | 0.337853i | −0.605440 | − | 0.795891i | \(-0.707003\pi\) |
0.888933 | + | 0.458037i | \(0.151447\pi\) | |||||||
\(954\) | 11.6133 | + | 6.70494i | 0.375995 | + | 0.217081i | ||||
\(955\) | −22.4693 | + | 24.4531i | −0.727089 | + | 0.791284i | ||||
\(956\) | 1.78659i | 0.0577825i | ||||||||
\(957\) | 1.04229 | + | 5.91111i | 0.0336924 | + | 0.191079i | ||||
\(958\) | 23.6610 | + | 28.1981i | 0.764452 | + | 0.911038i | ||||
\(959\) | −34.4972 | − | 12.5560i | −1.11397 | − | 0.405453i | ||||
\(960\) | 3.81118 | + | 2.43539i | 0.123005 | + | 0.0786018i | ||||
\(961\) | −62.4327 | −2.01396 | ||||||||
\(962\) | 10.2739 | − | 29.9624i | 0.331244 | − | 0.966026i | ||||
\(963\) | − | 5.81957i | − | 0.187533i | ||||||
\(964\) | −0.823313 | − | 2.26203i | −0.0265171 | − | 0.0728552i | ||||
\(965\) | −49.0638 | + | 15.3954i | −1.57942 | + | 0.495594i | ||||
\(966\) | 6.94037 | − | 5.82366i | 0.223303 | − | 0.187373i | ||||
\(967\) | 4.13801 | + | 23.4678i | 0.133069 | + | 0.754674i | 0.976185 | + | 0.216941i | \(0.0696080\pi\) |
−0.843115 | + | 0.537733i | \(0.819281\pi\) | |||||||
\(968\) | 20.8149 | 0.669016 | ||||||||
\(969\) | 1.66812 | + | 9.46036i | 0.0535876 | + | 0.303910i | ||||
\(970\) | 0.536713 | + | 4.12067i | 0.0172328 | + | 0.132307i | ||||
\(971\) | 29.8066 | + | 25.0107i | 0.956539 | + | 0.802632i | 0.980387 | − | 0.197084i | \(-0.0631471\pi\) |
−0.0238473 | + | 0.999716i | \(0.507592\pi\) | |||||||
\(972\) | 9.38314 | − | 5.41736i | 0.300964 | − | 0.173762i | ||||
\(973\) | −26.0015 | − | 15.0120i | −0.833570 | − | 0.481262i | ||||
\(974\) | 7.27620 | − | 2.64832i | 0.233144 | − | 0.0848576i | ||||
\(975\) | −47.7907 | + | 22.1248i | −1.53053 | + | 0.708561i | ||||
\(976\) | −2.98812 | + | 1.72519i | −0.0956473 | + | 0.0552220i | ||||
\(977\) | 1.70012 | − | 9.64187i | 0.0543917 | − | 0.308471i | −0.945459 | − | 0.325741i | \(-0.894386\pi\) |
0.999851 | + | 0.0172699i | \(0.00549745\pi\) | |||||||
\(978\) | −1.07160 | − | 0.188951i | −0.0342659 | − | 0.00604199i | ||||
\(979\) | −20.0775 | + | 23.9275i | −0.641681 | + | 0.764725i | ||||
\(980\) | −3.27650 | + | 1.02811i | −0.104664 | + | 0.0328418i | ||||
\(981\) | 1.28008 | − | 3.51700i | 0.0408699 | − | 0.112289i | ||||
\(982\) | 27.7786 | + | 23.3090i | 0.886450 | + | 0.743820i | ||||
\(983\) | −22.1629 | − | 3.90792i | −0.706887 | − | 0.124643i | −0.191364 | − | 0.981519i | \(-0.561291\pi\) |
−0.515523 | + | 0.856876i | \(0.672402\pi\) | |||||||
\(984\) | 19.9806 | + | 3.52311i | 0.636957 | + | 0.112313i | ||||
\(985\) | −2.82221 | + | 6.78691i | −0.0899230 | + | 0.216249i | ||||
\(986\) | −0.408831 | − | 0.487226i | −0.0130198 | − | 0.0155164i | ||||
\(987\) | −0.704869 | − | 1.93661i | −0.0224362 | − | 0.0616431i | ||||
\(988\) | 17.7162 | + | 10.2285i | 0.563629 | + | 0.325411i | ||||
\(989\) | −0.359923 | − | 0.623406i | −0.0114449 | − | 0.0198231i | ||||
\(990\) | −13.7492 | − | 0.619314i | −0.436979 | − | 0.0196831i | ||||
\(991\) | 6.65550 | + | 3.84255i | 0.211419 | + | 0.122063i | 0.601971 | − | 0.798518i | \(-0.294382\pi\) |
−0.390552 | + | 0.920581i | \(0.627716\pi\) | |||||||
\(992\) | 9.51921 | − | 1.67849i | 0.302235 | − | 0.0532922i | ||||
\(993\) | −48.2290 | −1.53050 | ||||||||
\(994\) | 8.27763 | − | 1.45957i | 0.262551 | − | 0.0462947i | ||||
\(995\) | 37.8368 | + | 8.44301i | 1.19951 | + | 0.267661i | ||||
\(996\) | −15.5411 | − | 5.65651i | −0.492440 | − | 0.179233i | ||||
\(997\) | −30.9972 | + | 11.2821i | −0.981691 | + | 0.357306i | −0.782497 | − | 0.622654i | \(-0.786054\pi\) |
−0.199193 | + | 0.979960i | \(0.563832\pi\) | |||||||
\(998\) | 29.0668i | 0.920094i | ||||||||
\(999\) | 17.7042 | − | 15.4299i | 0.560135 | − | 0.488181i |
(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 | 370.2.v.a.289.3 | yes | 60 | |
5.4 | even | 2 | 370.2.v.b.289.8 | yes | 60 | ||
37.21 | even | 18 | 370.2.v.b.169.8 | yes | 60 | ||
185.169 | even | 18 | inner | 370.2.v.a.169.3 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.v.a.169.3 | ✓ | 60 | 185.169 | even | 18 | inner | |
370.2.v.a.289.3 | yes | 60 | 1.1 | even | 1 | trivial | |
370.2.v.b.169.8 | yes | 60 | 37.21 | even | 18 | ||
370.2.v.b.289.8 | yes | 60 | 5.4 | even | 2 |