Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 388.15 | ||
Character | \(\chi\) | \(=\) | 483.388 |
Dual form | 483.2.bf.a.61.15 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.423819 | + | 0.333295i | −0.299685 | + | 0.235675i | −0.756666 | − | 0.653801i | \(-0.773173\pi\) |
0.456981 | + | 0.889476i | \(0.348931\pi\) | |||||||
\(3\) | 0.814576 | − | 0.580057i | 0.470296 | − | 0.334896i | ||||
\(4\) | −0.402981 | + | 1.66111i | −0.201490 | + | 0.830555i | ||||
\(5\) | 2.64705 | + | 0.510177i | 1.18380 | + | 0.228158i | 0.742902 | − | 0.669400i | \(-0.233449\pi\) |
0.440895 | + | 0.897558i | \(0.354661\pi\) | |||||||
\(6\) | −0.151903 | + | 0.517333i | −0.0620140 | + | 0.211200i | ||||
\(7\) | 2.13968 | + | 1.55621i | 0.808721 | + | 0.588192i | ||||
\(8\) | −0.830810 | − | 1.81922i | −0.293736 | − | 0.643191i | ||||
\(9\) | 0.327068 | − | 0.945001i | 0.109023 | − | 0.315000i | ||||
\(10\) | −1.29191 | + | 0.666026i | −0.408538 | + | 0.210616i | ||||
\(11\) | 3.14186 | − | 3.99521i | 0.947308 | − | 1.20460i | −0.0314346 | − | 0.999506i | \(-0.510008\pi\) |
0.978742 | − | 0.205094i | \(-0.0657500\pi\) | |||||||
\(12\) | 0.635280 | + | 1.58685i | 0.183389 | + | 0.458085i | ||||
\(13\) | −0.763946 | + | 1.18872i | −0.211881 | + | 0.329693i | −0.930885 | − | 0.365313i | \(-0.880962\pi\) |
0.719004 | + | 0.695006i | \(0.244598\pi\) | |||||||
\(14\) | −1.42551 | + | 0.0535915i | −0.380984 | + | 0.0143229i | ||||
\(15\) | 2.45216 | − | 1.11986i | 0.633144 | − | 0.289147i | ||||
\(16\) | −2.08011 | − | 1.07237i | −0.520027 | − | 0.268093i | ||||
\(17\) | −2.02290 | + | 1.92883i | −0.490624 | + | 0.467809i | −0.894541 | − | 0.446987i | \(-0.852497\pi\) |
0.403916 | + | 0.914796i | \(0.367649\pi\) | |||||||
\(18\) | 0.176346 | + | 0.509519i | 0.0415652 | + | 0.120095i | ||||
\(19\) | −1.09217 | − | 1.04138i | −0.250560 | − | 0.238908i | 0.554382 | − | 0.832263i | \(-0.312955\pi\) |
−0.804941 | + | 0.593354i | \(0.797803\pi\) | |||||||
\(20\) | −1.91417 | + | 4.19145i | −0.428022 | + | 0.937237i | ||||
\(21\) | 2.64562 | + | 0.0265180i | 0.577321 | + | 0.00578669i | ||||
\(22\) | 2.74041i | 0.584257i | ||||||||
\(23\) | −0.824588 | + | 4.72441i | −0.171939 | + | 0.985108i | ||||
\(24\) | −1.73201 | − | 0.999976i | −0.353545 | − | 0.204119i | ||||
\(25\) | 2.10476 | + | 0.842619i | 0.420952 | + | 0.168524i | ||||
\(26\) | −0.0724206 | − | 0.758423i | −0.0142028 | − | 0.148739i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | −3.44728 | + | 2.92711i | −0.651475 | + | 0.553172i | ||||
\(29\) | 2.58978 | + | 0.760429i | 0.480911 | + | 0.141208i | 0.513197 | − | 0.858271i | \(-0.328461\pi\) |
−0.0322869 | + | 0.999479i | \(0.510279\pi\) | |||||||
\(30\) | −0.666026 | + | 1.29191i | −0.121599 | + | 0.235869i | ||||
\(31\) | 0.211355 | − | 2.21341i | 0.0379604 | − | 0.397540i | −0.956445 | − | 0.291912i | \(-0.905709\pi\) |
0.994406 | − | 0.105628i | \(-0.0336853\pi\) | |||||||
\(32\) | 5.16662 | − | 0.995785i | 0.913339 | − | 0.176032i | ||||
\(33\) | 0.241841 | − | 5.07686i | 0.0420990 | − | 0.883768i | ||||
\(34\) | 0.214473 | − | 1.49169i | 0.0367818 | − | 0.255823i | ||||
\(35\) | 4.86989 | + | 5.21098i | 0.823161 | + | 0.880817i | ||||
\(36\) | 1.43795 | + | 0.924113i | 0.239658 | + | 0.154019i | ||||
\(37\) | −4.81860 | − | 1.66773i | −0.792173 | − | 0.274174i | −0.0991344 | − | 0.995074i | \(-0.531607\pi\) |
−0.693039 | + | 0.720900i | \(0.743729\pi\) | |||||||
\(38\) | 0.809966 | + | 0.0773424i | 0.131394 | + | 0.0125466i | ||||
\(39\) | 0.0672351 | + | 1.41144i | 0.0107662 | + | 0.226011i | ||||
\(40\) | −1.27107 | − | 5.23943i | −0.200974 | − | 0.828426i | ||||
\(41\) | 2.53334 | + | 2.19515i | 0.395641 | + | 0.342825i | 0.829849 | − | 0.557988i | \(-0.188426\pi\) |
−0.434208 | + | 0.900813i | \(0.642972\pi\) | |||||||
\(42\) | −1.13010 | + | 0.870532i | −0.174378 | + | 0.134326i | ||||
\(43\) | −0.960109 | − | 0.438467i | −0.146415 | − | 0.0668656i | 0.340860 | − | 0.940114i | \(-0.389282\pi\) |
−0.487275 | + | 0.873249i | \(0.662009\pi\) | |||||||
\(44\) | 5.37036 | + | 6.82897i | 0.809613 | + | 1.02951i | ||||
\(45\) | 1.34788 | − | 2.33460i | 0.200931 | − | 0.348022i | ||||
\(46\) | −1.22515 | − | 2.27713i | −0.180638 | − | 0.335744i | ||||
\(47\) | 4.74062 | − | 2.73700i | 0.691491 | − | 0.399232i | −0.112680 | − | 0.993631i | \(-0.535943\pi\) |
0.804170 | + | 0.594399i | \(0.202610\pi\) | |||||||
\(48\) | −2.31644 | + | 0.333054i | −0.334350 | + | 0.0480722i | ||||
\(49\) | 2.15642 | + | 6.65957i | 0.308060 | + | 0.951367i | ||||
\(50\) | −1.17288 | + | 0.344388i | −0.165870 | + | 0.0487038i | ||||
\(51\) | −0.528973 | + | 2.74457i | −0.0740710 | + | 0.384317i | ||||
\(52\) | −1.66674 | − | 1.74803i | −0.231136 | − | 0.242408i | ||||
\(53\) | −3.13561 | + | 0.149368i | −0.430709 | + | 0.0205172i | −0.261817 | − | 0.965117i | \(-0.584322\pi\) |
−0.168892 | + | 0.985635i | \(0.554019\pi\) | |||||||
\(54\) | 0.439198 | + | 0.312751i | 0.0597672 | + | 0.0425600i | ||||
\(55\) | 10.3549 | − | 8.97261i | 1.39626 | − | 1.20987i | ||||
\(56\) | 1.05342 | − | 5.18545i | 0.140770 | − | 0.692935i | ||||
\(57\) | −1.49371 | − | 0.214763i | −0.197847 | − | 0.0284461i | ||||
\(58\) | −1.35105 | + | 0.540877i | −0.177401 | + | 0.0710206i | ||||
\(59\) | −0.420378 | − | 0.815420i | −0.0547286 | − | 0.106159i | 0.859885 | − | 0.510488i | \(-0.170535\pi\) |
−0.914613 | + | 0.404329i | \(0.867505\pi\) | |||||||
\(60\) | 0.872042 | + | 4.52458i | 0.112580 | + | 0.584121i | ||||
\(61\) | 1.51571 | − | 2.12852i | 0.194067 | − | 0.272530i | −0.706064 | − | 0.708148i | \(-0.749531\pi\) |
0.900131 | + | 0.435619i | \(0.143470\pi\) | |||||||
\(62\) | 0.648141 | + | 1.00853i | 0.0823140 | + | 0.128083i | ||||
\(63\) | 2.17044 | − | 1.51301i | 0.273450 | − | 0.190621i | ||||
\(64\) | 1.20727 | − | 1.39327i | 0.150909 | − | 0.174158i | ||||
\(65\) | −2.62866 | + | 2.75686i | −0.326046 | + | 0.341947i | ||||
\(66\) | 1.58959 | + | 2.23227i | 0.195665 | + | 0.274774i | ||||
\(67\) | −5.20298 | + | 12.9964i | −0.635646 | + | 1.58777i | 0.163443 | + | 0.986553i | \(0.447740\pi\) |
−0.799089 | + | 0.601213i | \(0.794684\pi\) | |||||||
\(68\) | −2.38881 | − | 4.13753i | −0.289685 | − | 0.501749i | ||||
\(69\) | 2.06874 | + | 4.32670i | 0.249047 | + | 0.520873i | ||||
\(70\) | −3.80074 | − | 0.585404i | −0.454276 | − | 0.0699692i | ||||
\(71\) | −1.34170 | − | 9.33173i | −0.159231 | − | 1.10747i | −0.900056 | − | 0.435775i | \(-0.856474\pi\) |
0.740825 | − | 0.671698i | \(-0.234435\pi\) | |||||||
\(72\) | −1.99090 | + | 0.190107i | −0.234629 | + | 0.0224044i | ||||
\(73\) | −12.1488 | − | 2.94728i | −1.42192 | − | 0.344953i | −0.550228 | − | 0.835015i | \(-0.685459\pi\) |
−0.871688 | + | 0.490062i | \(0.836974\pi\) | |||||||
\(74\) | 2.59806 | − | 0.899198i | 0.302019 | − | 0.104530i | ||||
\(75\) | 2.20326 | − | 0.534504i | 0.254410 | − | 0.0617192i | ||||
\(76\) | 2.16996 | − | 1.39455i | 0.248912 | − | 0.159966i | ||||
\(77\) | 12.9399 | − | 3.65904i | 1.47464 | − | 0.416986i | ||||
\(78\) | −0.498920 | − | 0.575785i | −0.0564916 | − | 0.0651948i | ||||
\(79\) | −13.4418 | − | 0.640311i | −1.51232 | − | 0.0720406i | −0.725069 | − | 0.688676i | \(-0.758192\pi\) |
−0.787249 | + | 0.616635i | \(0.788495\pi\) | |||||||
\(80\) | −4.95906 | − | 3.89985i | −0.554440 | − | 0.436016i | ||||
\(81\) | −0.786053 | − | 0.618159i | −0.0873392 | − | 0.0686843i | ||||
\(82\) | −1.80531 | − | 0.0859975i | −0.199363 | − | 0.00949684i | ||||
\(83\) | 4.65175 | + | 5.36840i | 0.510596 | + | 0.589259i | 0.951251 | − | 0.308417i | \(-0.0997994\pi\) |
−0.440655 | + | 0.897676i | \(0.645254\pi\) | |||||||
\(84\) | −1.11018 | + | 4.38398i | −0.121131 | + | 0.478331i | ||||
\(85\) | −6.33875 | + | 4.07367i | −0.687534 | + | 0.441851i | ||||
\(86\) | 0.553051 | − | 0.134169i | 0.0596370 | − | 0.0144678i | ||||
\(87\) | 2.55067 | − | 0.882794i | 0.273460 | − | 0.0946455i | ||||
\(88\) | −9.87845 | − | 2.39649i | −1.05305 | − | 0.255466i | ||||
\(89\) | −13.8590 | + | 1.32338i | −1.46905 | + | 0.140278i | −0.798685 | − | 0.601750i | \(-0.794471\pi\) |
−0.670370 | + | 0.742027i | \(0.733864\pi\) | |||||||
\(90\) | 0.206853 | + | 1.43869i | 0.0218042 | + | 0.151651i | ||||
\(91\) | −3.48450 | + | 1.35462i | −0.365275 | + | 0.142003i | ||||
\(92\) | −7.51547 | − | 3.27358i | −0.783542 | − | 0.341294i | ||||
\(93\) | −1.11174 | − | 1.92559i | −0.115282 | − | 0.199674i | ||||
\(94\) | −1.09694 | + | 2.74002i | −0.113140 | + | 0.282611i | ||||
\(95\) | −2.35973 | − | 3.31378i | −0.242103 | − | 0.339986i | ||||
\(96\) | 3.63100 | − | 3.80808i | 0.370587 | − | 0.388660i | ||||
\(97\) | 11.5519 | − | 13.3316i | 1.17292 | − | 1.35362i | 0.250181 | − | 0.968199i | \(-0.419510\pi\) |
0.922740 | − | 0.385424i | \(-0.125945\pi\) | |||||||
\(98\) | −3.13353 | − | 2.10373i | −0.316534 | − | 0.212509i | ||||
\(99\) | −2.74787 | − | 4.27577i | −0.276171 | − | 0.429731i | ||||
\(100\) | −2.24786 | + | 3.15668i | −0.224786 | + | 0.315668i | ||||
\(101\) | −0.706163 | − | 3.66392i | −0.0702658 | − | 0.364574i | 0.929727 | − | 0.368248i | \(-0.120042\pi\) |
−0.999993 | + | 0.00367470i | \(0.998830\pi\) | |||||||
\(102\) | −0.690563 | − | 1.33950i | −0.0683759 | − | 0.132631i | ||||
\(103\) | −2.84412 | + | 1.13862i | −0.280240 | + | 0.112191i | −0.507525 | − | 0.861637i | \(-0.669439\pi\) |
0.227285 | + | 0.973828i | \(0.427015\pi\) | |||||||
\(104\) | 2.79724 | + | 0.402183i | 0.274292 | + | 0.0394373i | ||||
\(105\) | 6.98956 | + | 1.41993i | 0.682111 | + | 0.138571i | ||||
\(106\) | 1.27915 | − | 1.10839i | 0.124242 | − | 0.107656i | ||||
\(107\) | 10.5364 | + | 7.50295i | 1.01859 | + | 0.725337i | 0.961997 | − | 0.273060i | \(-0.0880358\pi\) |
0.0565964 | + | 0.998397i | \(0.481975\pi\) | |||||||
\(108\) | 1.70736 | − | 0.0813314i | 0.164290 | − | 0.00782612i | ||||
\(109\) | −7.87541 | − | 8.25950i | −0.754328 | − | 0.791116i | 0.228909 | − | 0.973448i | \(-0.426484\pi\) |
−0.983237 | + | 0.182331i | \(0.941636\pi\) | |||||||
\(110\) | −1.39810 | + | 7.25401i | −0.133303 | + | 0.691642i | ||||
\(111\) | −4.89250 | + | 1.43657i | −0.464375 | + | 0.136353i | ||||
\(112\) | −2.78192 | − | 5.53161i | −0.262867 | − | 0.522688i | ||||
\(113\) | 20.3957 | − | 2.93245i | 1.91866 | − | 0.275862i | 0.924281 | − | 0.381712i | \(-0.124666\pi\) |
0.994382 | + | 0.105850i | \(0.0337565\pi\) | |||||||
\(114\) | 0.704642 | − | 0.406825i | 0.0659957 | − | 0.0381027i | ||||
\(115\) | −4.59302 | + | 12.0851i | −0.428301 | + | 1.12694i | ||||
\(116\) | −2.30679 | + | 3.99548i | −0.214180 | + | 0.370971i | ||||
\(117\) | 0.873482 | + | 1.11072i | 0.0807535 | + | 0.102686i | ||||
\(118\) | 0.449940 | + | 0.205480i | 0.0414203 | + | 0.0189160i | ||||
\(119\) | −7.33000 | + | 0.979013i | −0.671940 | + | 0.0897460i | ||||
\(120\) | −4.07455 | − | 3.53062i | −0.371954 | − | 0.322300i | ||||
\(121\) | −3.49701 | − | 14.4149i | −0.317910 | − | 1.31044i | ||||
\(122\) | 0.0670374 | + | 1.40729i | 0.00606928 | + | 0.127410i | ||||
\(123\) | 3.33691 | + | 0.318636i | 0.300879 | + | 0.0287305i | ||||
\(124\) | 3.59154 | + | 1.24304i | 0.322530 | + | 0.111629i | ||||
\(125\) | −6.19759 | − | 3.98295i | −0.554330 | − | 0.356246i | ||||
\(126\) | −0.415595 | + | 1.36464i | −0.0370242 | + | 0.121572i | ||||
\(127\) | 2.22591 | − | 15.4816i | 0.197518 | − | 1.37377i | −0.613938 | − | 0.789354i | \(-0.710416\pi\) |
0.811456 | − | 0.584413i | \(-0.198675\pi\) | |||||||
\(128\) | −0.548021 | + | 11.5044i | −0.0484386 | + | 1.01685i | ||||
\(129\) | −1.03642 | + | 0.199753i | −0.0912515 | + | 0.0175873i | ||||
\(130\) | 0.195229 | − | 2.04453i | 0.0171227 | − | 0.179317i | ||||
\(131\) | 2.51437 | − | 4.87720i | 0.219682 | − | 0.426123i | −0.753080 | − | 0.657929i | \(-0.771433\pi\) |
0.972762 | + | 0.231805i | \(0.0744632\pi\) | |||||||
\(132\) | 8.33576 | + | 2.44760i | 0.725535 | + | 0.213036i | ||||
\(133\) | −0.716277 | − | 3.92785i | −0.0621091 | − | 0.340588i | ||||
\(134\) | −2.12652 | − | 7.24226i | −0.183703 | − | 0.625636i | ||||
\(135\) | −0.256249 | − | 2.68356i | −0.0220544 | − | 0.230964i | ||||
\(136\) | 5.18960 | + | 2.07760i | 0.445005 | + | 0.178153i | ||||
\(137\) | −17.7326 | − | 10.2379i | −1.51500 | − | 0.874685i | −0.999845 | − | 0.0175872i | \(-0.994402\pi\) |
−0.515154 | − | 0.857098i | \(-0.672265\pi\) | |||||||
\(138\) | −2.31884 | − | 1.14424i | −0.197392 | − | 0.0974040i | ||||
\(139\) | 17.9318i | 1.52095i | 0.649365 | + | 0.760477i | \(0.275035\pi\) | ||||
−0.649365 | + | 0.760477i | \(0.724965\pi\) | |||||||
\(140\) | −10.6185 | + | 5.98949i | −0.897426 | + | 0.506204i | ||||
\(141\) | 2.27398 | − | 4.97932i | 0.191504 | − | 0.419335i | ||||
\(142\) | 3.67886 | + | 3.50778i | 0.308723 | + | 0.294367i | ||||
\(143\) | 2.34898 | + | 6.78693i | 0.196431 | + | 0.567551i | ||||
\(144\) | −1.69373 | + | 1.61497i | −0.141144 | + | 0.134581i | ||||
\(145\) | 6.46734 | + | 3.33414i | 0.537083 | + | 0.276886i | ||||
\(146\) | 6.13122 | − | 2.80004i | 0.507424 | − | 0.231733i | ||||
\(147\) | 5.61950 | + | 4.17388i | 0.463488 | + | 0.344256i | ||||
\(148\) | 4.71209 | − | 7.33216i | 0.387332 | − | 0.602700i | ||||
\(149\) | −6.18798 | − | 15.4568i | −0.506939 | − | 1.26627i | −0.932444 | − | 0.361316i | \(-0.882328\pi\) |
0.425505 | − | 0.904956i | \(-0.360097\pi\) | |||||||
\(150\) | −0.755634 | + | 0.960866i | −0.0616972 | + | 0.0784544i | ||||
\(151\) | −18.1358 | + | 9.34967i | −1.47587 | + | 0.760865i | −0.993363 | − | 0.115025i | \(-0.963305\pi\) |
−0.482510 | + | 0.875890i | \(0.660275\pi\) | |||||||
\(152\) | −0.987113 | + | 2.85208i | −0.0800654 | + | 0.231334i | ||||
\(153\) | 1.16112 | + | 2.54250i | 0.0938709 | + | 0.205549i | ||||
\(154\) | −4.26465 | + | 5.86359i | −0.343656 | + | 0.472501i | ||||
\(155\) | 1.68870 | − | 5.75117i | 0.135639 | − | 0.461945i | ||||
\(156\) | −2.37165 | − | 0.457098i | −0.189884 | − | 0.0365971i | ||||
\(157\) | 0.622071 | − | 2.56421i | 0.0496466 | − | 0.204646i | −0.941586 | − | 0.336772i | \(-0.890665\pi\) |
0.991233 | + | 0.132125i | \(0.0421801\pi\) | |||||||
\(158\) | 5.91029 | − | 4.20870i | 0.470198 | − | 0.334826i | ||||
\(159\) | −2.46755 | + | 1.94050i | −0.195689 | + | 0.153892i | ||||
\(160\) | 14.1843 | 1.12137 | ||||||||
\(161\) | −9.11653 | + | 8.82547i | −0.718483 | + | 0.695545i | ||||
\(162\) | 0.539173 | 0.0423615 | ||||||||
\(163\) | 6.85882 | − | 5.39384i | 0.537224 | − | 0.422478i | −0.312334 | − | 0.949972i | \(-0.601111\pi\) |
0.849558 | + | 0.527494i | \(0.176868\pi\) | |||||||
\(164\) | −4.66728 | + | 3.32355i | −0.364453 | + | 0.259526i | ||||
\(165\) | 3.23026 | − | 13.3153i | 0.251476 | − | 1.03660i | ||||
\(166\) | −3.76076 | − | 0.724827i | −0.291892 | − | 0.0562575i | ||||
\(167\) | 3.03938 | − | 10.3512i | 0.235194 | − | 0.800998i | −0.754313 | − | 0.656515i | \(-0.772030\pi\) |
0.989507 | − | 0.144483i | \(-0.0461519\pi\) | |||||||
\(168\) | −2.14976 | − | 4.83499i | −0.165858 | − | 0.373028i | ||||
\(169\) | 4.57095 | + | 10.0090i | 0.351611 | + | 0.769921i | ||||
\(170\) | 1.32875 | − | 3.83917i | 0.101910 | − | 0.294451i | ||||
\(171\) | −1.34131 | + | 0.691496i | −0.102573 | + | 0.0528800i | ||||
\(172\) | 1.11525 | − | 1.41815i | 0.0850368 | − | 0.108133i | ||||
\(173\) | −1.19172 | − | 2.97678i | −0.0906051 | − | 0.226321i | 0.876143 | − | 0.482051i | \(-0.160108\pi\) |
−0.966748 | + | 0.255731i | \(0.917684\pi\) | |||||||
\(174\) | −0.786790 | + | 1.22427i | −0.0596464 | + | 0.0928116i | ||||
\(175\) | 3.19221 | + | 5.07838i | 0.241309 | + | 0.383890i | ||||
\(176\) | −10.8198 | + | 4.94122i | −0.815570 | + | 0.372459i | ||||
\(177\) | −0.815420 | − | 0.420378i | −0.0612907 | − | 0.0315976i | ||||
\(178\) | 5.43264 | − | 5.18002i | 0.407194 | − | 0.388259i | ||||
\(179\) | −3.00968 | − | 8.69589i | −0.224954 | − | 0.649961i | −0.999840 | − | 0.0178611i | \(-0.994314\pi\) |
0.774887 | − | 0.632100i | \(-0.217807\pi\) | |||||||
\(180\) | 3.33486 | + | 3.17978i | 0.248566 | + | 0.237007i | ||||
\(181\) | 7.15446 | − | 15.6661i | 0.531787 | − | 1.16445i | −0.432994 | − | 0.901397i | \(-0.642543\pi\) |
0.964781 | − | 0.263054i | \(-0.0847297\pi\) | |||||||
\(182\) | 1.02531 | − | 1.73548i | 0.0760009 | − | 0.128642i | ||||
\(183\) | − | 2.61305i | − | 0.193162i | ||||||
\(184\) | 9.27982 | − | 2.42498i | 0.684117 | − | 0.178772i | ||||
\(185\) | −11.9042 | − | 6.87292i | −0.875218 | − | 0.505307i | ||||
\(186\) | 1.11296 | + | 0.445563i | 0.0816064 | + | 0.0326703i | ||||
\(187\) | 1.35040 | + | 14.1420i | 0.0987508 | + | 1.03417i | ||||
\(188\) | 2.63608 | + | 8.97765i | 0.192256 | + | 0.654762i | ||||
\(189\) | 0.890357 | − | 2.49144i | 0.0647639 | − | 0.181225i | ||||
\(190\) | 2.10456 | + | 0.617956i | 0.152681 | + | 0.0448312i | ||||
\(191\) | 0.488200 | − | 0.946975i | 0.0353249 | − | 0.0685207i | −0.870512 | − | 0.492146i | \(-0.836212\pi\) |
0.905837 | + | 0.423626i | \(0.139243\pi\) | |||||||
\(192\) | 0.175241 | − | 1.83521i | 0.0126469 | − | 0.132445i | ||||
\(193\) | −4.67066 | + | 0.900196i | −0.336202 | + | 0.0647976i | −0.354558 | − | 0.935034i | \(-0.615369\pi\) |
0.0183566 | + | 0.999832i | \(0.494157\pi\) | |||||||
\(194\) | −0.452560 | + | 9.50040i | −0.0324919 | + | 0.682089i | ||||
\(195\) | −0.542109 | + | 3.77045i | −0.0388212 | + | 0.270008i | ||||
\(196\) | −11.9313 | + | 0.898372i | −0.852234 | + | 0.0641694i | ||||
\(197\) | 3.97759 | + | 2.55624i | 0.283392 | + | 0.182125i | 0.674612 | − | 0.738172i | \(-0.264311\pi\) |
−0.391221 | + | 0.920297i | \(0.627947\pi\) | |||||||
\(198\) | 2.58969 | + | 0.896300i | 0.184041 | + | 0.0636973i | ||||
\(199\) | 24.4996 | + | 2.33943i | 1.73673 | + | 0.165838i | 0.914843 | − | 0.403809i | \(-0.132314\pi\) |
0.821889 | + | 0.569647i | \(0.192920\pi\) | |||||||
\(200\) | −0.215747 | − | 4.52908i | −0.0152556 | − | 0.320254i | ||||
\(201\) | 3.30044 | + | 13.6046i | 0.232795 | + | 0.959595i | ||||
\(202\) | 1.52045 | + | 1.31748i | 0.106979 | + | 0.0926974i | ||||
\(203\) | 4.35791 | + | 5.65732i | 0.305865 | + | 0.397066i | ||||
\(204\) | −4.34587 | − | 1.98469i | −0.304272 | − | 0.138956i | ||||
\(205\) | 5.58596 | + | 7.10313i | 0.390141 | + | 0.496104i | ||||
\(206\) | 0.825899 | − | 1.43050i | 0.0575431 | − | 0.0996676i | ||||
\(207\) | 4.19488 | + | 2.32444i | 0.291564 | + | 0.161560i | ||||
\(208\) | 2.86384 | − | 1.65344i | 0.198572 | − | 0.114646i | ||||
\(209\) | −7.59195 | + | 1.09156i | −0.525146 | + | 0.0755046i | ||||
\(210\) | −3.43556 | + | 1.72779i | −0.237076 | + | 0.119229i | ||||
\(211\) | 2.25694 | − | 0.662698i | 0.155374 | − | 0.0456220i | −0.203120 | − | 0.979154i | \(-0.565108\pi\) |
0.358495 | + | 0.933532i | \(0.383290\pi\) | |||||||
\(212\) | 1.01547 | − | 5.26878i | 0.0697431 | − | 0.361862i | ||||
\(213\) | −6.50585 | − | 6.82314i | −0.445774 | − | 0.467514i | ||||
\(214\) | −6.96622 | + | 0.331842i | −0.476201 | + | 0.0226843i | ||||
\(215\) | −2.31776 | − | 1.65047i | −0.158070 | − | 0.112561i | ||||
\(216\) | −1.51146 | + | 1.30969i | −0.102842 | + | 0.0891131i | ||||
\(217\) | 3.89676 | − | 4.40706i | 0.264529 | − | 0.299171i | ||||
\(218\) | 6.09060 | + | 0.875696i | 0.412507 | + | 0.0593096i | ||||
\(219\) | −11.6058 | + | 4.64624i | −0.784244 | + | 0.313964i | ||||
\(220\) | 10.7316 | + | 20.8165i | 0.723527 | + | 1.40345i | ||||
\(221\) | −0.747458 | − | 3.87818i | −0.0502795 | − | 0.260875i | ||||
\(222\) | 1.59473 | − | 2.23949i | 0.107031 | − | 0.150305i | ||||
\(223\) | 7.70920 | + | 11.9958i | 0.516247 | + | 0.803295i | 0.997303 | − | 0.0733944i | \(-0.0233832\pi\) |
−0.481056 | + | 0.876690i | \(0.659747\pi\) | |||||||
\(224\) | 12.6045 | + | 5.90970i | 0.842177 | + | 0.394858i | ||||
\(225\) | 1.48468 | − | 1.71341i | 0.0989784 | − | 0.114227i | ||||
\(226\) | −7.66670 | + | 8.04060i | −0.509981 | + | 0.534853i | ||||
\(227\) | 7.42523 | + | 10.4273i | 0.492830 | + | 0.692082i | 0.983836 | − | 0.179074i | \(-0.0573101\pi\) |
−0.491006 | + | 0.871156i | \(0.663371\pi\) | |||||||
\(228\) | 0.958682 | − | 2.39467i | 0.0634902 | − | 0.158591i | ||||
\(229\) | 6.61029 | + | 11.4494i | 0.436820 | + | 0.756595i | 0.997442 | − | 0.0714772i | \(-0.0227713\pi\) |
−0.560622 | + | 0.828072i | \(0.689438\pi\) | |||||||
\(230\) | −2.08129 | − | 6.65271i | −0.137236 | − | 0.438667i | ||||
\(231\) | 8.41812 | − | 10.4865i | 0.553872 | − | 0.689959i | ||||
\(232\) | −0.768230 | − | 5.34316i | −0.0504368 | − | 0.350795i | ||||
\(233\) | −19.1507 | + | 1.82867i | −1.25461 | + | 0.119800i | −0.701111 | − | 0.713053i | \(-0.747312\pi\) |
−0.553495 | + | 0.832853i | \(0.686706\pi\) | |||||||
\(234\) | −0.740396 | − | 0.179618i | −0.0484012 | − | 0.0117420i | ||||
\(235\) | 13.9450 | − | 4.82642i | 0.909673 | − | 0.314841i | ||||
\(236\) | 1.52391 | − | 0.369696i | 0.0991979 | − | 0.0240651i | ||||
\(237\) | −11.3208 | + | 7.27542i | −0.735363 | + | 0.472589i | ||||
\(238\) | 2.78029 | − | 2.85797i | 0.180220 | − | 0.185255i | ||||
\(239\) | 4.56549 | + | 5.26885i | 0.295317 | + | 0.340814i | 0.883946 | − | 0.467590i | \(-0.154878\pi\) |
−0.588629 | + | 0.808403i | \(0.700332\pi\) | |||||||
\(240\) | −6.30166 | − | 0.300185i | −0.406771 | − | 0.0193769i | ||||
\(241\) | −0.487553 | − | 0.383416i | −0.0314060 | − | 0.0246980i | 0.602333 | − | 0.798245i | \(-0.294238\pi\) |
−0.633739 | + | 0.773547i | \(0.718481\pi\) | |||||||
\(242\) | 6.28649 | + | 4.94375i | 0.404111 | + | 0.317797i | ||||
\(243\) | −0.998867 | − | 0.0475819i | −0.0640774 | − | 0.00305238i | ||||
\(244\) | 2.92491 | + | 3.37552i | 0.187248 | + | 0.216096i | ||||
\(245\) | 2.31059 | + | 18.7284i | 0.147618 | + | 1.19651i | ||||
\(246\) | −1.52045 | + | 0.977131i | −0.0969401 | + | 0.0622996i | ||||
\(247\) | 2.07226 | − | 0.502726i | 0.131855 | − | 0.0319877i | ||||
\(248\) | −4.20227 | + | 1.45442i | −0.266844 | + | 0.0923557i | ||||
\(249\) | 6.90318 | + | 1.67469i | 0.437471 | + | 0.106129i | ||||
\(250\) | 3.95415 | − | 0.377576i | 0.250083 | − | 0.0238800i | ||||
\(251\) | −1.15324 | − | 8.02093i | −0.0727916 | − | 0.506277i | −0.993301 | − | 0.115556i | \(-0.963135\pi\) |
0.920509 | − | 0.390720i | \(-0.127774\pi\) | |||||||
\(252\) | 1.63863 | + | 4.21505i | 0.103224 | + | 0.265523i | ||||
\(253\) | 16.2842 | + | 18.1379i | 1.02378 | + | 1.14032i | ||||
\(254\) | 4.21654 | + | 7.30327i | 0.264569 | + | 0.458248i | ||||
\(255\) | −2.80044 | + | 6.99515i | −0.175370 | + | 0.438053i | ||||
\(256\) | −1.46335 | − | 2.05499i | −0.0914596 | − | 0.128437i | ||||
\(257\) | −0.852789 | + | 0.894379i | −0.0531955 | + | 0.0557898i | −0.749794 | − | 0.661671i | \(-0.769847\pi\) |
0.696599 | + | 0.717461i | \(0.254696\pi\) | |||||||
\(258\) | 0.372677 | − | 0.430092i | 0.0232018 | − | 0.0267763i | ||||
\(259\) | −7.71490 | − | 11.0672i | −0.479380 | − | 0.687680i | ||||
\(260\) | −3.52015 | − | 5.47746i | −0.218311 | − | 0.339698i | ||||
\(261\) | 1.56564 | − | 2.19863i | 0.0969107 | − | 0.136092i | ||||
\(262\) | 0.559908 | + | 2.90508i | 0.0345912 | + | 0.179476i | ||||
\(263\) | 9.25229 | + | 17.9469i | 0.570521 | + | 1.10666i | 0.980858 | + | 0.194722i | \(0.0623805\pi\) |
−0.410338 | + | 0.911934i | \(0.634589\pi\) | |||||||
\(264\) | −9.43684 | + | 3.77794i | −0.580798 | + | 0.232516i | ||||
\(265\) | −8.37632 | − | 1.20433i | −0.514554 | − | 0.0739816i | ||||
\(266\) | 1.61270 | + | 1.42596i | 0.0988812 | + | 0.0874315i | ||||
\(267\) | −10.5216 | + | 9.11702i | −0.643912 | + | 0.557953i | ||||
\(268\) | −19.4918 | − | 13.8800i | −1.19065 | − | 0.847858i | ||||
\(269\) | 13.0422 | − | 0.621276i | 0.795196 | − | 0.0378799i | 0.353948 | − | 0.935265i | \(-0.384839\pi\) |
0.441248 | + | 0.897385i | \(0.354536\pi\) | |||||||
\(270\) | 1.00302 | + | 1.05194i | 0.0610419 | + | 0.0640189i | ||||
\(271\) | 1.04470 | − | 5.42043i | 0.0634612 | − | 0.329268i | −0.936298 | − | 0.351206i | \(-0.885772\pi\) |
0.999759 | + | 0.0219383i | \(0.00698374\pi\) | |||||||
\(272\) | 6.27626 | − | 1.84288i | 0.380554 | − | 0.111741i | ||||
\(273\) | −2.05263 | + | 3.12465i | −0.124231 | + | 0.189112i | ||||
\(274\) | 10.9277 | − | 1.57116i | 0.660164 | − | 0.0949173i | ||||
\(275\) | 9.97931 | − | 5.76156i | 0.601775 | − | 0.347435i | ||||
\(276\) | −8.02078 | + | 1.69282i | −0.482794 | + | 0.101896i | ||||
\(277\) | −14.4602 | + | 25.0457i | −0.868827 | + | 1.50485i | −0.00563027 | + | 0.999984i | \(0.501792\pi\) |
−0.863197 | + | 0.504868i | \(0.831541\pi\) | |||||||
\(278\) | −5.97657 | − | 7.59982i | −0.358451 | − | 0.455807i | ||||
\(279\) | −2.02254 | − | 0.923665i | −0.121087 | − | 0.0552984i | ||||
\(280\) | 5.43397 | − | 13.1887i | 0.324742 | − | 0.788177i | ||||
\(281\) | −0.0710240 | − | 0.0615427i | −0.00423694 | − | 0.00367133i | 0.652740 | − | 0.757582i | \(-0.273620\pi\) |
−0.656977 | + | 0.753911i | \(0.728165\pi\) | |||||||
\(282\) | 0.695827 | + | 2.86824i | 0.0414359 | + | 0.170801i | ||||
\(283\) | 1.39254 | + | 29.2331i | 0.0827782 | + | 1.73773i | 0.534148 | + | 0.845391i | \(0.320632\pi\) |
−0.451370 | + | 0.892337i | \(0.649065\pi\) | |||||||
\(284\) | 16.0417 | + | 1.53180i | 0.951901 | + | 0.0908955i | ||||
\(285\) | −3.84436 | − | 1.33055i | −0.227720 | − | 0.0788147i | ||||
\(286\) | −3.25759 | − | 2.09353i | −0.192625 | − | 0.123793i | ||||
\(287\) | 2.00441 | + | 8.63932i | 0.118316 | + | 0.509963i | ||||
\(288\) | 0.748819 | − | 5.20815i | 0.0441246 | − | 0.306893i | ||||
\(289\) | −0.437160 | + | 9.17711i | −0.0257153 | + | 0.539830i | ||||
\(290\) | −3.85223 | + | 0.742457i | −0.226211 | + | 0.0435986i | ||||
\(291\) | 1.67682 | − | 17.5604i | 0.0982967 | − | 1.02941i | ||||
\(292\) | 9.79151 | − | 18.9929i | 0.573005 | − | 1.11147i | ||||
\(293\) | 22.7813 | + | 6.68918i | 1.33090 | + | 0.390786i | 0.868413 | − | 0.495842i | \(-0.165140\pi\) |
0.462483 | + | 0.886628i | \(0.346959\pi\) | |||||||
\(294\) | −3.77278 | + | 0.103981i | −0.220033 | + | 0.00606429i | ||||
\(295\) | −0.696754 | − | 2.37293i | −0.0405666 | − | 0.138157i | ||||
\(296\) | 0.969367 | + | 10.1517i | 0.0563433 | + | 0.590054i | ||||
\(297\) | −4.71854 | − | 1.88902i | −0.273797 | − | 0.109612i | ||||
\(298\) | 7.77426 | + | 4.48847i | 0.450351 | + | 0.260010i | ||||
\(299\) | −4.98608 | − | 4.58940i | −0.288352 | − | 0.265412i | ||||
\(300\) | 3.87524i | 0.223737i | ||||||||
\(301\) | −1.37197 | − | 2.43231i | −0.0790793 | − | 0.140196i | ||||
\(302\) | 4.57011 | − | 10.0071i | 0.262980 | − | 0.575846i | ||||
\(303\) | −2.70051 | − | 2.57493i | −0.155140 | − | 0.147926i | ||||
\(304\) | 1.15508 | + | 3.33739i | 0.0662484 | + | 0.191412i | ||||
\(305\) | 5.09810 | − | 4.86103i | 0.291916 | − | 0.278342i | ||||
\(306\) | −1.33950 | − | 0.690563i | −0.0765744 | − | 0.0394768i | ||||
\(307\) | −7.96676 | + | 3.63830i | −0.454687 | + | 0.207649i | −0.629575 | − | 0.776940i | \(-0.716771\pi\) |
0.174888 | + | 0.984588i | \(0.444044\pi\) | |||||||
\(308\) | 0.863517 | + | 22.9692i | 0.0492035 | + | 1.30879i | ||||
\(309\) | −1.65629 | + | 2.57724i | −0.0942233 | + | 0.146614i | ||||
\(310\) | 1.20113 | + | 3.00029i | 0.0682199 | + | 0.170405i | ||||
\(311\) | 8.37528 | − | 10.6500i | 0.474918 | − | 0.603908i | −0.488284 | − | 0.872685i | \(-0.662377\pi\) |
0.963202 | + | 0.268777i | \(0.0866195\pi\) | |||||||
\(312\) | 2.51186 | − | 1.29495i | 0.142206 | − | 0.0733122i | ||||
\(313\) | −1.40062 | + | 4.04682i | −0.0791677 | + | 0.228740i | −0.977638 | − | 0.210294i | \(-0.932558\pi\) |
0.898471 | + | 0.439034i | \(0.144679\pi\) | |||||||
\(314\) | 0.590993 | + | 1.29409i | 0.0333516 | + | 0.0730299i | ||||
\(315\) | 6.51717 | − | 2.89770i | 0.367201 | − | 0.163267i | ||||
\(316\) | 6.48041 | − | 22.0702i | 0.364551 | − | 1.24155i | ||||
\(317\) | −15.9734 | − | 3.07862i | −0.897156 | − | 0.172913i | −0.280229 | − | 0.959933i | \(-0.590410\pi\) |
−0.616927 | + | 0.787021i | \(0.711623\pi\) | |||||||
\(318\) | 0.399035 | − | 1.64484i | 0.0223768 | − | 0.0922383i | ||||
\(319\) | 11.1748 | − | 7.95755i | 0.625670 | − | 0.445537i | ||||
\(320\) | 3.90652 | − | 3.07212i | 0.218381 | − | 0.171737i | ||||
\(321\) | 12.9348 | 0.721953 | ||||||||
\(322\) | 0.922272 | − | 6.77889i | 0.0513962 | − | 0.377773i | ||||
\(323\) | 4.21797 | 0.234694 | ||||||||
\(324\) | 1.34359 | − | 1.05661i | 0.0746441 | − | 0.0587008i | ||||
\(325\) | −2.60957 | + | 1.85826i | −0.144753 | + | 0.103078i | ||||
\(326\) | −1.10916 | + | 4.57202i | −0.0614307 | + | 0.253221i | ||||
\(327\) | −11.2061 | − | 2.15980i | −0.619699 | − | 0.119437i | ||||
\(328\) | 1.88874 | − | 6.43246i | 0.104288 | − | 0.355173i | ||||
\(329\) | 14.4027 | + | 1.52111i | 0.794048 | + | 0.0838617i | ||||
\(330\) | 3.06888 | + | 6.71991i | 0.168936 | + | 0.369919i | ||||
\(331\) | −9.39668 | + | 27.1499i | −0.516488 | + | 1.49230i | 0.321661 | + | 0.946855i | \(0.395759\pi\) |
−0.838150 | + | 0.545440i | \(0.816362\pi\) | |||||||
\(332\) | −10.7921 | + | 5.56370i | −0.592292 | + | 0.305348i | ||||
\(333\) | −3.15202 | + | 4.00812i | −0.172730 | + | 0.219644i | ||||
\(334\) | 2.16185 | + | 5.40003i | 0.118291 | + | 0.295477i | ||||
\(335\) | −20.4030 | + | 31.7478i | −1.11474 | + | 1.73457i | ||||
\(336\) | −5.47474 | − | 2.89224i | −0.298672 | − | 0.157785i | ||||
\(337\) | −5.43771 | + | 2.48332i | −0.296211 | + | 0.135275i | −0.557977 | − | 0.829856i | \(-0.688422\pi\) |
0.261766 | + | 0.965131i | \(0.415695\pi\) | |||||||
\(338\) | −5.27319 | − | 2.71852i | −0.286824 | − | 0.147868i | ||||
\(339\) | 14.9128 | − | 14.2194i | 0.809954 | − | 0.772289i | ||||
\(340\) | −4.21242 | − | 12.1710i | −0.228450 | − | 0.660064i | ||||
\(341\) | −8.17897 | − | 7.79863i | −0.442916 | − | 0.422319i | ||||
\(342\) | 0.338003 | − | 0.740122i | 0.0182771 | − | 0.0400212i | ||||
\(343\) | −5.74965 | + | 17.6052i | −0.310452 | + | 0.950589i | ||||
\(344\) | 2.11093i | 0.113814i | ||||||||
\(345\) | 3.26867 | + | 12.5084i | 0.175979 | + | 0.673431i | ||||
\(346\) | 1.49722 | + | 0.864421i | 0.0804911 | + | 0.0464715i | ||||
\(347\) | 15.1978 | + | 6.08428i | 0.815860 | + | 0.326621i | 0.741790 | − | 0.670632i | \(-0.233977\pi\) |
0.0740697 | + | 0.997253i | \(0.476401\pi\) | |||||||
\(348\) | 0.438548 | + | 4.59269i | 0.0235087 | + | 0.246194i | ||||
\(349\) | 0.455681 | + | 1.55191i | 0.0243920 | + | 0.0830716i | 0.970790 | − | 0.239933i | \(-0.0771254\pi\) |
−0.946398 | + | 0.323004i | \(0.895307\pi\) | |||||||
\(350\) | −3.04552 | − | 1.08837i | −0.162790 | − | 0.0581756i | ||||
\(351\) | 1.35580 | + | 0.398099i | 0.0723673 | + | 0.0212489i | ||||
\(352\) | 12.2545 | − | 23.7703i | 0.653165 | − | 1.26696i | ||||
\(353\) | 2.45102 | − | 25.6683i | 0.130455 | − | 1.36618i | −0.658893 | − | 0.752237i | \(-0.728975\pi\) |
0.789347 | − | 0.613947i | \(-0.210419\pi\) | |||||||
\(354\) | 0.485700 | − | 0.0936111i | 0.0258147 | − | 0.00497537i | ||||
\(355\) | 1.20929 | − | 25.3861i | 0.0641824 | − | 1.34735i | ||||
\(356\) | 3.38665 | − | 23.5547i | 0.179492 | − | 1.24840i | ||||
\(357\) | −5.40296 | + | 5.04930i | −0.285955 | + | 0.267237i | ||||
\(358\) | 4.17385 | + | 2.68237i | 0.220595 | + | 0.141768i | ||||
\(359\) | −20.6571 | − | 7.14950i | −1.09024 | − | 0.377336i | −0.277955 | − | 0.960594i | \(-0.589657\pi\) |
−0.812287 | + | 0.583258i | \(0.801778\pi\) | |||||||
\(360\) | −5.36699 | − | 0.512486i | −0.282865 | − | 0.0270104i | ||||
\(361\) | −0.795698 | − | 16.7038i | −0.0418789 | − | 0.879146i | ||||
\(362\) | 2.18923 | + | 9.02412i | 0.115063 | + | 0.474297i | ||||
\(363\) | −11.2100 | − | 9.71353i | −0.588373 | − | 0.509828i | ||||
\(364\) | −0.845988 | − | 6.33402i | −0.0443418 | − | 0.331993i | ||||
\(365\) | −30.6550 | − | 13.9997i | −1.60456 | − | 0.732776i | ||||
\(366\) | 0.870914 | + | 1.10746i | 0.0455234 | + | 0.0578877i | ||||
\(367\) | 17.6234 | − | 30.5247i | 0.919936 | − | 1.59338i | 0.120427 | − | 0.992722i | \(-0.461574\pi\) |
0.799509 | − | 0.600654i | \(-0.205093\pi\) | |||||||
\(368\) | 6.78156 | − | 8.94303i | 0.353513 | − | 0.466187i | ||||
\(369\) | 2.90299 | − | 1.67604i | 0.151124 | − | 0.0872514i | ||||
\(370\) | 7.33595 | − | 1.05475i | 0.381378 | − | 0.0548339i | ||||
\(371\) | −6.94163 | − | 4.56007i | −0.360392 | − | 0.236747i | ||||
\(372\) | 3.64662 | − | 1.07074i | 0.189068 | − | 0.0555155i | ||||
\(373\) | 4.88135 | − | 25.3268i | 0.252747 | − | 1.31137i | −0.604556 | − | 0.796562i | \(-0.706650\pi\) |
0.857303 | − | 0.514812i | \(-0.172138\pi\) | |||||||
\(374\) | −5.28578 | − | 5.54356i | −0.273321 | − | 0.286651i | ||||
\(375\) | −7.35875 | + | 0.350540i | −0.380004 | + | 0.0181018i | ||||
\(376\) | −8.91775 | − | 6.35030i | −0.459898 | − | 0.327492i | ||||
\(377\) | −2.88239 | + | 2.49761i | −0.148451 | + | 0.128633i | ||||
\(378\) | 0.453034 | + | 1.35267i | 0.0233015 | + | 0.0695738i | ||||
\(379\) | −16.7454 | − | 2.40763i | −0.860155 | − | 0.123672i | −0.301899 | − | 0.953340i | \(-0.597620\pi\) |
−0.558256 | + | 0.829668i | \(0.688529\pi\) | |||||||
\(380\) | 6.45548 | − | 2.58438i | 0.331159 | − | 0.132576i | ||||
\(381\) | −7.16702 | − | 13.9021i | −0.367177 | − | 0.712225i | ||||
\(382\) | 0.108714 | + | 0.564060i | 0.00556228 | + | 0.0288598i | ||||
\(383\) | 16.2970 | − | 22.8859i | 0.832738 | − | 1.16942i | −0.150773 | − | 0.988568i | \(-0.548176\pi\) |
0.983511 | − | 0.180849i | \(-0.0578845\pi\) | |||||||
\(384\) | 6.22679 | + | 9.68907i | 0.317759 | + | 0.494443i | ||||
\(385\) | 36.1195 | − | 3.08400i | 1.84082 | − | 0.157175i | ||||
\(386\) | 1.67948 | − | 1.93823i | 0.0854835 | − | 0.0986532i | ||||
\(387\) | −0.728373 | + | 0.763895i | −0.0370253 | + | 0.0388310i | ||||
\(388\) | 17.4901 | + | 24.5614i | 0.887926 | + | 1.24692i | ||||
\(389\) | 0.138160 | − | 0.345106i | 0.00700497 | − | 0.0174976i | −0.924824 | − | 0.380395i | \(-0.875788\pi\) |
0.931829 | + | 0.362897i | \(0.118212\pi\) | |||||||
\(390\) | −1.02692 | − | 1.77867i | −0.0519999 | − | 0.0900664i | ||||
\(391\) | −7.44451 | − | 11.1475i | −0.376485 | − | 0.563752i | ||||
\(392\) | 10.3236 | − | 9.45584i | 0.521423 | − | 0.477592i | ||||
\(393\) | −0.780908 | − | 5.43133i | −0.0393916 | − | 0.273975i | ||||
\(394\) | −2.53776 | + | 0.242327i | −0.127851 | + | 0.0122082i | ||||
\(395\) | −35.2544 | − | 8.55263i | −1.77384 | − | 0.430329i | ||||
\(396\) | 8.20986 | − | 2.84146i | 0.412561 | − | 0.142789i | ||||
\(397\) | −30.2788 | + | 7.34556i | −1.51965 | + | 0.368663i | −0.906808 | − | 0.421543i | \(-0.861489\pi\) |
−0.612841 | + | 0.790206i | \(0.709973\pi\) | |||||||
\(398\) | −11.1631 | + | 7.17410i | −0.559557 | + | 0.359605i | ||||
\(399\) | −2.86184 | − | 2.78405i | −0.143271 | − | 0.139377i | ||||
\(400\) | −3.47453 | − | 4.00983i | −0.173727 | − | 0.200491i | ||||
\(401\) | −19.3490 | − | 0.921707i | −0.966244 | − | 0.0460279i | −0.441476 | − | 0.897273i | \(-0.645545\pi\) |
−0.524768 | + | 0.851245i | \(0.675848\pi\) | |||||||
\(402\) | −5.93313 | − | 4.66587i | −0.295918 | − | 0.232712i | ||||
\(403\) | 2.46966 | + | 1.94217i | 0.123023 | + | 0.0967462i | ||||
\(404\) | 6.37075 | + | 0.303476i | 0.316956 | + | 0.0150985i | ||||
\(405\) | −1.76535 | − | 2.03733i | −0.0877211 | − | 0.101236i | ||||
\(406\) | −3.73252 | − | 0.945210i | −0.185242 | − | 0.0469100i | ||||
\(407\) | −21.8023 | + | 14.0115i | −1.08070 | + | 0.694525i | ||||
\(408\) | 5.43245 | − | 1.31790i | 0.268946 | − | 0.0652457i | ||||
\(409\) | −9.98760 | + | 3.45674i | −0.493855 | + | 0.170925i | −0.562633 | − | 0.826707i | \(-0.690211\pi\) |
0.0687774 | + | 0.997632i | \(0.478090\pi\) | |||||||
\(410\) | −4.73487 | − | 1.14867i | −0.233839 | − | 0.0567287i | ||||
\(411\) | −20.3831 | + | 1.94635i | −1.00543 | + | 0.0960065i | ||||
\(412\) | −0.745238 | − | 5.18324i | −0.0367152 | − | 0.255360i | ||||
\(413\) | 0.369492 | − | 2.39893i | 0.0181815 | − | 0.118044i | ||||
\(414\) | −2.55259 | + | 0.412989i | −0.125453 | + | 0.0202973i | ||||
\(415\) | 9.57458 | + | 16.5837i | 0.469998 | + | 0.814060i | ||||
\(416\) | −2.76331 | + | 6.90241i | −0.135482 | + | 0.338419i | ||||
\(417\) | 10.4015 | + | 14.6068i | 0.509361 | + | 0.715298i | ||||
\(418\) | 2.85380 | − | 2.99298i | 0.139584 | − | 0.146391i | ||||
\(419\) | 0.754343 | − | 0.870558i | 0.0368521 | − | 0.0425295i | −0.737024 | − | 0.675866i | \(-0.763770\pi\) |
0.773876 | + | 0.633337i | \(0.218315\pi\) | |||||||
\(420\) | −5.17532 | + | 11.0382i | −0.252530 | + | 0.538610i | ||||
\(421\) | −10.4940 | − | 16.3289i | −0.511445 | − | 0.795823i | 0.485475 | − | 0.874250i | \(-0.338647\pi\) |
−0.996920 | + | 0.0784271i | \(0.975010\pi\) | |||||||
\(422\) | −0.735661 | + | 1.03309i | −0.0358114 | + | 0.0502901i | ||||
\(423\) | −1.03596 | − | 5.37507i | −0.0503701 | − | 0.261345i | ||||
\(424\) | 2.87683 | + | 5.58027i | 0.139711 | + | 0.271002i | ||||
\(425\) | −5.88298 | + | 2.35519i | −0.285366 | + | 0.114243i | ||||
\(426\) | 5.03142 | + | 0.723409i | 0.243773 | + | 0.0350493i | ||||
\(427\) | 6.55557 | − | 2.19558i | 0.317246 | − | 0.106251i | ||||
\(428\) | −16.7092 | + | 14.4786i | −0.807669 | + | 0.699849i | ||||
\(429\) | 5.85023 | + | 4.16593i | 0.282452 | + | 0.201133i | ||||
\(430\) | 1.53240 | − | 0.0729974i | 0.0738991 | − | 0.00352025i | ||||
\(431\) | −9.39352 | − | 9.85164i | −0.452470 | − | 0.474537i | 0.457501 | − | 0.889209i | \(-0.348745\pi\) |
−0.909971 | + | 0.414672i | \(0.863896\pi\) | |||||||
\(432\) | −0.442898 | + | 2.29797i | −0.0213089 | + | 0.110561i | ||||
\(433\) | 22.1613 | − | 6.50715i | 1.06500 | − | 0.312714i | 0.298140 | − | 0.954522i | \(-0.403634\pi\) |
0.766865 | + | 0.641809i | \(0.221816\pi\) | |||||||
\(434\) | −0.182669 | + | 3.16656i | −0.00876838 | + | 0.152000i | ||||
\(435\) | 7.20213 | − | 1.03551i | 0.345316 | − | 0.0496489i | ||||
\(436\) | 16.8936 | − | 9.75351i | 0.809055 | − | 0.467108i | ||||
\(437\) | 5.82048 | − | 4.30113i | 0.278431 | − | 0.205751i | ||||
\(438\) | 3.37017 | − | 5.83730i | 0.161033 | − | 0.278917i | ||||
\(439\) | 23.9533 | + | 30.4590i | 1.14323 | + | 1.45373i | 0.870856 | + | 0.491538i | \(0.163565\pi\) |
0.272370 | + | 0.962192i | \(0.412192\pi\) | |||||||
\(440\) | −24.9261 | − | 11.3834i | −1.18831 | − | 0.542681i | ||||
\(441\) | 6.99859 | + | 0.140313i | 0.333266 | + | 0.00668156i | ||||
\(442\) | 1.60937 | + | 1.39452i | 0.0765497 | + | 0.0663307i | ||||
\(443\) | 2.79480 | + | 11.5203i | 0.132785 | + | 0.547347i | 0.998873 | + | 0.0474562i | \(0.0151115\pi\) |
−0.866088 | + | 0.499891i | \(0.833373\pi\) | |||||||
\(444\) | −0.414712 | − | 8.70589i | −0.0196814 | − | 0.413163i | ||||
\(445\) | −37.3607 | − | 3.56752i | −1.77107 | − | 0.169117i | ||||
\(446\) | −7.26543 | − | 2.51459i | −0.344028 | − | 0.119069i | ||||
\(447\) | −14.0064 | − | 9.00137i | −0.662481 | − | 0.425750i | ||||
\(448\) | 4.75138 | − | 1.10237i | 0.224482 | − | 0.0520820i | ||||
\(449\) | −0.962604 | + | 6.69506i | −0.0454281 | + | 0.315959i | 0.954419 | + | 0.298470i | \(0.0964764\pi\) |
−0.999847 | + | 0.0174892i | \(0.994433\pi\) | |||||||
\(450\) | −0.0581638 | + | 1.22101i | −0.00274187 | + | 0.0575589i | ||||
\(451\) | 16.7295 | − | 3.22435i | 0.787761 | − | 0.151828i | ||||
\(452\) | −3.34794 | + | 35.0612i | −0.157474 | + | 1.64914i | ||||
\(453\) | −9.34967 | + | 18.1358i | −0.439286 | + | 0.852096i | ||||
\(454\) | −6.62231 | − | 1.94448i | −0.310800 | − | 0.0912592i | ||||
\(455\) | −9.91475 | + | 1.80804i | −0.464811 | + | 0.0847622i | ||||
\(456\) | 0.850288 | + | 2.89581i | 0.0398184 | + | 0.135609i | ||||
\(457\) | 2.01898 | + | 21.1438i | 0.0944441 | + | 0.989063i | 0.911168 | + | 0.412035i | \(0.135182\pi\) |
−0.816724 | + | 0.577028i | \(0.804212\pi\) | |||||||
\(458\) | −6.61757 | − | 2.64928i | −0.309219 | − | 0.123793i | ||||
\(459\) | 2.42061 | + | 1.39754i | 0.112984 | + | 0.0652316i | ||||
\(460\) | −18.2237 | − | 12.4996i | −0.849686 | − | 0.582795i | ||||
\(461\) | 27.9810i | 1.30321i | 0.758560 | + | 0.651603i | \(0.225903\pi\) | ||||
−0.758560 | + | 0.651603i | \(0.774097\pi\) | |||||||
\(462\) | −0.0726701 | + | 7.25008i | −0.00338092 | + | 0.337304i | ||||
\(463\) | −5.43171 | + | 11.8938i | −0.252433 | + | 0.552751i | −0.992846 | − | 0.119401i | \(-0.961903\pi\) |
0.740413 | + | 0.672152i | \(0.234630\pi\) | |||||||
\(464\) | −4.57157 | − | 4.35898i | −0.212230 | − | 0.202361i | ||||
\(465\) | −1.96044 | − | 5.66431i | −0.0909130 | − | 0.262676i | ||||
\(466\) | 7.50695 | − | 7.15786i | 0.347753 | − | 0.331581i | ||||
\(467\) | 32.6024 | + | 16.8077i | 1.50866 | + | 0.777768i | 0.996695 | − | 0.0812386i | \(-0.0258876\pi\) |
0.511965 | + | 0.859007i | \(0.328918\pi\) | |||||||
\(468\) | −2.19703 | + | 1.00335i | −0.101558 | + | 0.0463799i | ||||
\(469\) | −31.3579 | + | 19.7112i | −1.44797 | + | 0.910178i | ||||
\(470\) | −4.30154 | + | 6.69333i | −0.198415 | + | 0.308740i | ||||
\(471\) | −0.980664 | − | 2.44958i | −0.0451866 | − | 0.112871i | ||||
\(472\) | −1.13417 | + | 1.44222i | −0.0522046 | + | 0.0663835i | ||||
\(473\) | −4.76830 | + | 2.45823i | −0.219247 | + | 0.113029i | ||||
\(474\) | 2.37310 | − | 6.85661i | 0.109000 | − | 0.314935i | ||||
\(475\) | −1.42126 | − | 3.11213i | −0.0652120 | − | 0.142794i | ||||
\(476\) | 1.32760 | − | 12.5705i | 0.0608505 | − | 0.576166i | ||||
\(477\) | −0.884405 | + | 3.01201i | −0.0404941 | + | 0.137910i | ||||
\(478\) | −3.69102 | − | 0.711386i | −0.168823 | − | 0.0325380i | ||||
\(479\) | −2.62795 | + | 10.8325i | −0.120074 | + | 0.494951i | 0.879736 | + | 0.475462i | \(0.157719\pi\) |
−0.999810 | + | 0.0194892i | \(0.993796\pi\) | |||||||
\(480\) | 11.5542 | − | 8.22773i | 0.527376 | − | 0.375543i | ||||
\(481\) | 5.66363 | − | 4.45393i | 0.258239 | − | 0.203082i | ||||
\(482\) | 0.334424 | 0.0152326 | ||||||||
\(483\) | −2.30683 | + | 12.4771i | −0.104964 | + | 0.567729i | ||||
\(484\) | 25.3539 | 1.15245 | ||||||||
\(485\) | 37.3801 | − | 29.3960i | 1.69734 | − | 1.33480i | ||||
\(486\) | 0.439198 | − | 0.312751i | 0.0199224 | − | 0.0141867i | ||||
\(487\) | −6.41815 | + | 26.4560i | −0.290834 | + | 1.19883i | 0.619512 | + | 0.784987i | \(0.287330\pi\) |
−0.910346 | + | 0.413847i | \(0.864185\pi\) | |||||||
\(488\) | −5.13152 | − | 0.989020i | −0.232293 | − | 0.0447708i | ||||
\(489\) | 2.45830 | − | 8.37220i | 0.111168 | − | 0.378604i | ||||
\(490\) | −7.22134 | − | 7.16733i | −0.326227 | − | 0.323787i | ||||
\(491\) | 4.49323 | + | 9.83880i | 0.202777 | + | 0.444019i | 0.983512 | − | 0.180843i | \(-0.0578826\pi\) |
−0.780735 | + | 0.624862i | \(0.785155\pi\) | |||||||
\(492\) | −1.87400 | + | 5.41457i | −0.0844865 | + | 0.244108i | ||||
\(493\) | −6.70560 | + | 3.45697i | −0.302005 | + | 0.155694i | ||||
\(494\) | −0.710709 | + | 0.903740i | −0.0319763 | + | 0.0406612i | ||||
\(495\) | −5.09235 | − | 12.7201i | −0.228884 | − | 0.571725i | ||||
\(496\) | −2.81323 | + | 4.37748i | −0.126318 | + | 0.196555i | ||||
\(497\) | 11.6513 | − | 22.0548i | 0.522634 | − | 0.989295i | ||||
\(498\) | −3.48387 | + | 1.59103i | −0.156116 | + | 0.0712957i | ||||
\(499\) | 7.65359 | + | 3.94570i | 0.342622 | + | 0.176634i | 0.620946 | − | 0.783853i | \(-0.286749\pi\) |
−0.278324 | + | 0.960487i | \(0.589779\pi\) | |||||||
\(500\) | 9.11363 | − | 8.68983i | 0.407574 | − | 0.388621i | ||||
\(501\) | −3.52846 | − | 10.1948i | −0.157640 | − | 0.455471i | ||||
\(502\) | 3.16210 | + | 3.01505i | 0.141131 | + | 0.134568i | ||||
\(503\) | −17.2216 | + | 37.7100i | −0.767872 | + | 1.68141i | −0.0365902 | + | 0.999330i | \(0.511650\pi\) |
−0.731282 | + | 0.682075i | \(0.761078\pi\) | |||||||
\(504\) | −4.55572 | − | 2.69148i | −0.202928 | − | 0.119888i | ||||
\(505\) | − | 10.0589i | − | 0.447613i | ||||||
\(506\) | −12.9468 | − | 2.25971i | −0.575556 | − | 0.100456i | ||||
\(507\) | 9.52916 | + | 5.50166i | 0.423205 | + | 0.244337i | ||||
\(508\) | 24.8196 | + | 9.93627i | 1.10119 | + | 0.440851i | ||||
\(509\) | −2.29254 | − | 24.0086i | −0.101615 | − | 1.06416i | −0.892148 | − | 0.451742i | \(-0.850803\pi\) |
0.790533 | − | 0.612419i | \(-0.209803\pi\) | |||||||
\(510\) | −1.14457 | − | 3.89805i | −0.0506824 | − | 0.172608i | ||||
\(511\) | −21.4080 | − | 25.2124i | −0.947034 | − | 1.11533i | ||||
\(512\) | −20.7966 | − | 6.10645i | −0.919091 | − | 0.269869i | ||||
\(513\) | −0.691496 | + | 1.34131i | −0.0305303 | + | 0.0592205i | ||||
\(514\) | 0.0633360 | − | 0.663285i | 0.00279363 | − | 0.0292562i | ||||
\(515\) | −8.10944 | + | 1.56297i | −0.357345 | + | 0.0688725i | ||||
\(516\) | 0.0858446 | − | 1.80210i | 0.00377910 | − | 0.0793330i | ||||
\(517\) | 3.95951 | − | 27.5390i | 0.174139 | − | 1.21117i | ||||
\(518\) | 6.95835 | + | 2.11914i | 0.305732 | + | 0.0931096i | ||||
\(519\) | −2.69745 | − | 1.73355i | −0.118405 | − | 0.0760943i | ||||
\(520\) | 7.19926 | + | 2.49169i | 0.315708 | + | 0.109268i | ||||
\(521\) | 33.6623 | + | 3.21436i | 1.47477 | + | 0.140824i | 0.801243 | − | 0.598338i | \(-0.204172\pi\) |
0.673528 | + | 0.739162i | \(0.264778\pi\) | |||||||
\(522\) | 0.0692455 | + | 1.45364i | 0.00303080 | + | 0.0636242i | ||||
\(523\) | 5.54325 | + | 22.8496i | 0.242390 | + | 0.999143i | 0.954769 | + | 0.297349i | \(0.0961024\pi\) |
−0.712379 | + | 0.701795i | \(0.752382\pi\) | |||||||
\(524\) | 7.08833 | + | 6.14207i | 0.309655 | + | 0.268318i | ||||
\(525\) | 5.54605 | + | 2.28506i | 0.242049 | + | 0.0997283i | ||||
\(526\) | −9.90292 | − | 4.52251i | −0.431788 | − | 0.197191i | ||||
\(527\) | 3.84173 | + | 4.88516i | 0.167348 | + | 0.212801i | ||||
\(528\) | −5.94733 | + | 10.3011i | −0.258824 | + | 0.448297i | ||||
\(529\) | −21.6401 | − | 7.79139i | −0.940874 | − | 0.338756i | ||||
\(530\) | 3.95144 | − | 2.28137i | 0.171640 | − | 0.0990962i | ||||
\(531\) | −0.908065 | + | 0.130560i | −0.0394067 | + | 0.00566582i | ||||
\(532\) | 6.81323 | + | 0.393033i | 0.295391 | + | 0.0170402i | ||||
\(533\) | −4.54476 | + | 1.33446i | −0.196856 | + | 0.0578020i | ||||
\(534\) | 1.42060 | − | 7.37076i | 0.0614753 | − | 0.318964i | ||||
\(535\) | 24.0626 | + | 25.2361i | 1.04032 | + | 1.09105i | ||||
\(536\) | 27.9660 | − | 1.33219i | 1.20795 | − | 0.0575417i | ||||
\(537\) | −7.49572 | − | 5.33768i | −0.323464 | − | 0.230338i | ||||
\(538\) | −5.32046 | + | 4.61020i | −0.229381 | + | 0.198760i | ||||
\(539\) | 33.3815 | + | 12.3081i | 1.43784 | + | 0.530148i | ||||
\(540\) | 4.56095 | + | 0.655766i | 0.196272 | + | 0.0282197i | ||||
\(541\) | 15.6959 | − | 6.28368i | 0.674819 | − | 0.270157i | −0.00883736 | − | 0.999961i | \(-0.502813\pi\) |
0.683656 | + | 0.729804i | \(0.260389\pi\) | |||||||
\(542\) | 1.36384 | + | 2.64548i | 0.0585818 | + | 0.113633i | ||||
\(543\) | −3.25937 | − | 16.9112i | −0.139873 | − | 0.725729i | ||||
\(544\) | −8.53084 | + | 11.9799i | −0.365757 | + | 0.513634i | ||||
\(545\) | −16.6328 | − | 25.8812i | −0.712472 | − | 1.10863i | ||||
\(546\) | −0.171485 | − | 2.00842i | −0.00733890 | − | 0.0859523i | ||||
\(547\) | −15.6827 | + | 18.0989i | −0.670546 | + | 0.773851i | −0.984462 | − | 0.175600i | \(-0.943814\pi\) |
0.313916 | + | 0.949451i | \(0.398359\pi\) | |||||||
\(548\) | 24.1522 | − | 25.3301i | 1.03173 | − | 1.08205i | ||||
\(549\) | −1.51571 | − | 2.12852i | −0.0646891 | − | 0.0908432i | ||||
\(550\) | −2.30912 | + | 5.76791i | −0.0984613 | + | 0.245944i | ||||
\(551\) | −2.03658 | − | 3.52746i | −0.0867611 | − | 0.150275i | ||||
\(552\) | 6.15249 | − | 7.35815i | 0.261867 | − | 0.313184i | ||||
\(553\) | −27.7646 | − | 22.2883i | −1.18067 | − | 0.947795i | ||||
\(554\) | −2.21912 | − | 15.4343i | −0.0942816 | − | 0.655743i | ||||
\(555\) | −13.6836 | + | 1.30663i | −0.580836 | + | 0.0554632i | ||||
\(556\) | −29.7867 | − | 7.22616i | −1.26324 | − | 0.306458i | ||||
\(557\) | 2.09434 | − | 0.724859i | 0.0887402 | − | 0.0307133i | −0.282337 | − | 0.959315i | \(-0.591110\pi\) |
0.371077 | + | 0.928602i | \(0.378988\pi\) | |||||||
\(558\) | 1.16504 | − | 0.282637i | 0.0493203 | − | 0.0119650i | ||||
\(559\) | 1.25469 | − | 0.806339i | 0.0530676 | − | 0.0341045i | ||||
\(560\) | −4.54179 | − | 16.0617i | −0.191926 | − | 0.678732i | ||||
\(561\) | 9.30316 | + | 10.7364i | 0.392780 | + | 0.453292i | ||||
\(562\) | 0.0506132 | + | 0.00241100i | 0.00213499 | + | 0.000101702i | ||||
\(563\) | −28.0011 | − | 22.0203i | −1.18010 | − | 0.928044i | −0.181635 | − | 0.983366i | \(-0.558139\pi\) |
−0.998469 | + | 0.0553220i | \(0.982381\pi\) | |||||||
\(564\) | 7.35483 | + | 5.78390i | 0.309694 | + | 0.243546i | ||||
\(565\) | 55.4845 | + | 2.64305i | 2.33425 | + | 0.111194i | ||||
\(566\) | −10.3334 | − | 11.9254i | −0.434346 | − | 0.501262i | ||||
\(567\) | −0.719913 | − | 2.54592i | −0.0302335 | − | 0.106919i | ||||
\(568\) | −15.8618 | + | 10.1937i | −0.665545 | + | 0.427720i | ||||
\(569\) | 3.03193 | − | 0.735538i | 0.127105 | − | 0.0308353i | −0.171702 | − | 0.985149i | \(-0.554927\pi\) |
0.298807 | + | 0.954314i | \(0.403411\pi\) | |||||||
\(570\) | 2.07278 | − | 0.717395i | 0.0868190 | − | 0.0300484i | ||||
\(571\) | −21.2005 | − | 5.14319i | −0.887214 | − | 0.215236i | −0.233844 | − | 0.972274i | \(-0.575130\pi\) |
−0.653370 | + | 0.757038i | \(0.726646\pi\) | |||||||
\(572\) | −12.2204 | + | 1.16691i | −0.510962 | + | 0.0487909i | ||||
\(573\) | −0.151624 | − | 1.05457i | −0.00633418 | − | 0.0440552i | ||||
\(574\) | −3.72895 | − | 2.99345i | −0.155643 | − | 0.124944i | ||||
\(575\) | −5.71644 | + | 9.24894i | −0.238392 | + | 0.385708i | ||||
\(576\) | −0.921777 | − | 1.59656i | −0.0384074 | − | 0.0665235i | ||||
\(577\) | −2.22580 | + | 5.55979i | −0.0926615 | + | 0.231457i | −0.967457 | − | 0.253035i | \(-0.918571\pi\) |
0.874796 | + | 0.484492i | \(0.160996\pi\) | |||||||
\(578\) | −2.87341 | − | 4.03514i | −0.119518 | − | 0.167840i | ||||
\(579\) | −3.28244 | + | 3.44253i | −0.136414 | + | 0.143067i | ||||
\(580\) | −8.14459 | + | 9.39936i | −0.338186 | + | 0.390287i | ||||
\(581\) | 1.59887 | + | 18.7257i | 0.0663322 | + | 0.776875i | ||||
\(582\) | 5.14213 | + | 8.00131i | 0.213148 | + | 0.331665i | ||||
\(583\) | −9.25491 | + | 12.9967i | −0.383299 | + | 0.538268i | ||||
\(584\) | 4.73164 | + | 24.5501i | 0.195796 | + | 1.01589i | ||||
\(585\) | 1.74549 | + | 3.38577i | 0.0721670 | + | 0.139984i | ||||
\(586\) | −11.8846 | + | 4.75788i | −0.490948 | + | 0.196546i | ||||
\(587\) | 33.0393 | + | 4.75033i | 1.36368 | + | 0.196067i | 0.785003 | − | 0.619492i | \(-0.212661\pi\) |
0.578674 | + | 0.815559i | \(0.303570\pi\) | |||||||
\(588\) | −9.19782 | + | 7.65261i | −0.379312 | + | 0.315588i | ||||
\(589\) | −2.53583 | + | 2.19731i | −0.104487 | + | 0.0905384i | ||||
\(590\) | 1.08618 | + | 0.773466i | 0.0447174 | + | 0.0318431i | ||||
\(591\) | 4.72282 | − | 0.224976i | 0.194271 | − | 0.00925426i | ||||
\(592\) | 8.23479 | + | 8.63640i | 0.338448 | + | 0.354954i | ||||
\(593\) | −0.404340 | + | 2.09792i | −0.0166043 | + | 0.0861511i | −0.989286 | − | 0.145994i | \(-0.953362\pi\) |
0.972681 | + | 0.232145i | \(0.0745743\pi\) | |||||||
\(594\) | 2.62940 | − | 0.772063i | 0.107886 | − | 0.0316781i | ||||
\(595\) | −19.9024 | − | 1.14810i | −0.815917 | − | 0.0470676i | ||||
\(596\) | 28.1691 | − | 4.05011i | 1.15385 | − | 0.165899i | ||||
\(597\) | 21.3138 | − | 12.3055i | 0.872316 | − | 0.503632i | ||||
\(598\) | 3.64282 | + | 0.283242i | 0.148966 | + | 0.0115826i | ||||
\(599\) | −4.45474 | + | 7.71583i | −0.182016 | + | 0.315260i | −0.942567 | − | 0.334018i | \(-0.891595\pi\) |
0.760551 | + | 0.649278i | \(0.224929\pi\) | |||||||
\(600\) | −2.80287 | − | 3.56413i | −0.114427 | − | 0.145505i | ||||
\(601\) | −13.9064 | − | 6.35082i | −0.567252 | − | 0.259055i | 0.111079 | − | 0.993812i | \(-0.464569\pi\) |
−0.678331 | + | 0.734756i | \(0.737297\pi\) | |||||||
\(602\) | 1.39214 | + | 0.573586i | 0.0567396 | + | 0.0233776i | ||||
\(603\) | 10.5799 | + | 9.16754i | 0.430847 | + | 0.373331i | ||||
\(604\) | −8.22244 | − | 33.8933i | −0.334566 | − | 1.37910i | ||||
\(605\) | −1.90262 | − | 39.9410i | −0.0773526 | − | 1.62383i | ||||
\(606\) | 2.00274 | + | 0.191238i | 0.0813556 | + | 0.00776851i | ||||
\(607\) | −19.2595 | − | 6.66577i | −0.781718 | − | 0.270555i | −0.0930779 | − | 0.995659i | \(-0.529671\pi\) |
−0.688640 | + | 0.725104i | \(0.741792\pi\) | |||||||
\(608\) | −6.67980 | − | 4.29284i | −0.270902 | − | 0.174098i | ||||
\(609\) | 6.83141 | + | 2.08048i | 0.276823 | + | 0.0843053i | ||||
\(610\) | −0.540515 | + | 3.75937i | −0.0218848 | + | 0.152212i | ||||
\(611\) | −0.368044 | + | 7.72620i | −0.0148895 | + | 0.312569i | ||||
\(612\) | −4.69127 | + | 0.904169i | −0.189633 | + | 0.0365489i | ||||
\(613\) | −2.58448 | + | 27.0659i | −0.104386 | + | 1.09318i | 0.779795 | + | 0.626035i | \(0.215324\pi\) |
−0.884181 | + | 0.467145i | \(0.845283\pi\) | |||||||
\(614\) | 2.16384 | − | 4.19726i | 0.0873254 | − | 0.169388i | ||||
\(615\) | 8.67041 | + | 2.54586i | 0.349625 | + | 0.102659i | ||||
\(616\) | −17.4072 | − | 20.5006i | −0.701357 | − | 0.825994i | ||||
\(617\) | 13.0944 | + | 44.5956i | 0.527162 | + | 1.79535i | 0.602412 | + | 0.798185i | \(0.294206\pi\) |
−0.0752495 | + | 0.997165i | \(0.523975\pi\) | |||||||
\(618\) | −0.157013 | − | 1.64432i | −0.00631600 | − | 0.0661442i | ||||
\(619\) | 0.918937 | + | 0.367887i | 0.0369352 | + | 0.0147866i | 0.390057 | − | 0.920791i | \(-0.372455\pi\) |
−0.353121 | + | 0.935578i | \(0.614880\pi\) | |||||||
\(620\) | 8.87282 | + | 5.12272i | 0.356341 | + | 0.205734i | ||||
\(621\) | 4.76535 | − | 0.539833i | 0.191227 | − | 0.0216628i | ||||
\(622\) | 7.30512i | 0.292909i | ||||||||
\(623\) | −31.7133 | − | 18.7360i | −1.27057 | − | 0.750641i | ||||
\(624\) | 1.37373 | − | 3.00805i | 0.0549931 | − | 0.120418i | ||||
\(625\) | −22.5775 | − | 21.5276i | −0.903098 | − | 0.861102i | ||||
\(626\) | −0.755177 | − | 2.18194i | −0.0301829 | − | 0.0872078i | ||||
\(627\) | −5.55106 | + | 5.29292i | −0.221688 | + | 0.211379i | ||||
\(628\) | 4.00875 | + | 2.06666i | 0.159967 | + | 0.0824685i | ||||
\(629\) | 12.9643 | − | 5.92060i | 0.516920 | − | 0.236070i | ||||
\(630\) | −1.79631 | + | 3.40024i | −0.0715667 | + | 0.135469i | ||||
\(631\) | 2.35941 | − | 3.67132i | 0.0939267 | − | 0.146153i | −0.791110 | − | 0.611674i | \(-0.790497\pi\) |
0.885037 | + | 0.465521i | \(0.154133\pi\) | |||||||
\(632\) | 10.0027 | + | 24.9855i | 0.397886 | + | 0.993871i | ||||
\(633\) | 1.45405 | − | 1.84897i | 0.0577933 | − | 0.0734901i | ||||
\(634\) | 7.79592 | − | 4.01907i | 0.309615 | − | 0.159618i | ||||
\(635\) | 13.7905 | − | 39.8449i | 0.547258 | − | 1.58120i | ||||
\(636\) | −2.22901 | − | 4.88086i | −0.0883861 | − | 0.193539i | ||||
\(637\) | −9.56377 | − | 2.52416i | −0.378930 | − | 0.100011i | ||||
\(638\) | −2.08389 | + | 7.09707i | −0.0825019 | + | 0.280976i | ||||
\(639\) | −9.25732 | − | 1.78420i | −0.366214 | − | 0.0705820i | ||||
\(640\) | −7.31991 | + | 30.1731i | −0.289345 | + | 1.19270i | ||||
\(641\) | 6.05414 | − | 4.31113i | 0.239124 | − | 0.170279i | −0.454213 | − | 0.890893i | \(-0.650079\pi\) |
0.693337 | + | 0.720614i | \(0.256140\pi\) | |||||||
\(642\) | −5.48203 | + | 4.31112i | −0.216358 | + | 0.170146i | ||||
\(643\) | 17.5059 | 0.690367 | 0.345183 | − | 0.938535i | \(-0.387817\pi\) | ||||
0.345183 | + | 0.938535i | \(0.387817\pi\) | |||||||
\(644\) | −10.9863 | − | 18.7000i | −0.432921 | − | 0.736885i | ||||
\(645\) | −2.84536 | −0.112036 | ||||||||
\(646\) | −1.78766 | + | 1.40583i | −0.0703344 | + | 0.0553116i | ||||
\(647\) | −23.4107 | + | 16.6707i | −0.920371 | + | 0.655393i | −0.938810 | − | 0.344437i | \(-0.888070\pi\) |
0.0184383 | + | 0.999830i | \(0.494131\pi\) | |||||||
\(648\) | −0.471506 | + | 1.94358i | −0.0185225 | + | 0.0763509i | ||||
\(649\) | −4.57854 | − | 0.882442i | −0.179723 | − | 0.0346389i | ||||
\(650\) | 0.486633 | − | 1.65732i | 0.0190873 | − | 0.0650055i | ||||
\(651\) | 0.617859 | − | 5.85022i | 0.0242158 | − | 0.229288i | ||||
\(652\) | 6.19578 | + | 13.5669i | 0.242646 | + | 0.531320i | ||||
\(653\) | 14.2680 | − | 41.2248i | 0.558351 | − | 1.61325i | −0.213149 | − | 0.977020i | \(-0.568372\pi\) |
0.771500 | − | 0.636230i | \(-0.219507\pi\) | |||||||
\(654\) | 5.46921 | − | 2.81957i | 0.213863 | − | 0.110254i | ||||
\(655\) | 9.14392 | − | 11.6274i | 0.357282 | − | 0.454321i | ||||
\(656\) | −2.91561 | − | 7.28284i | −0.113835 | − | 0.284347i | ||||
\(657\) | −6.75868 | + | 10.5167i | −0.263681 | + | 0.410296i | ||||
\(658\) | −6.61113 | + | 4.15568i | −0.257729 | + | 0.162005i | ||||
\(659\) | 7.69511 | − | 3.51424i | 0.299759 | − | 0.136895i | −0.259858 | − | 0.965647i | \(-0.583676\pi\) |
0.559617 | + | 0.828752i | \(0.310948\pi\) | |||||||
\(660\) | 20.8165 | + | 10.7316i | 0.810280 | + | 0.417729i | ||||
\(661\) | −18.7157 | + | 17.8454i | −0.727956 | + | 0.694105i | −0.960437 | − | 0.278496i | \(-0.910164\pi\) |
0.232481 | + | 0.972601i | \(0.425316\pi\) | |||||||
\(662\) | −5.06644 | − | 14.6385i | −0.196913 | − | 0.568942i | ||||
\(663\) | −2.85843 | − | 2.72551i | −0.111012 | − | 0.105850i | ||||
\(664\) | 5.90159 | − | 12.9227i | 0.229026 | − | 0.501497i | ||||
\(665\) | 0.107878 | − | 10.7626i | 0.00418332 | − | 0.417357i | ||||
\(666\) | − | 2.74927i | − | 0.106532i | ||||||
\(667\) | −5.72808 | + | 11.6082i | −0.221792 | + | 0.449470i | ||||
\(668\) | 15.9696 | + | 9.22007i | 0.617883 | + | 0.356735i | ||||
\(669\) | 13.2380 | + | 5.29968i | 0.511809 | + | 0.204897i | ||||
\(670\) | −1.93417 | − | 20.2555i | −0.0747235 | − | 0.782539i | ||||
\(671\) | −3.74172 | − | 12.7431i | −0.144447 | − | 0.491943i | ||||
\(672\) | 13.6953 | − | 2.49746i | 0.528309 | − | 0.0963416i | ||||
\(673\) | 25.7774 | + | 7.56892i | 0.993645 | + | 0.291760i | 0.737846 | − | 0.674969i | \(-0.235843\pi\) |
0.255799 | + | 0.966730i | \(0.417661\pi\) | |||||||
\(674\) | 1.47693 | − | 2.86484i | 0.0568890 | − | 0.110349i | ||||
\(675\) | 0.215508 | − | 2.25690i | 0.00829489 | − | 0.0868680i | ||||
\(676\) | −18.4680 | + | 3.55942i | −0.710308 | + | 0.136901i | ||||
\(677\) | −2.22324 | + | 46.6716i | −0.0854461 | + | 1.79373i | 0.397010 | + | 0.917814i | \(0.370048\pi\) |
−0.482456 | + | 0.875920i | \(0.660255\pi\) | |||||||
\(678\) | −1.58110 | + | 10.9968i | −0.0607218 | + | 0.422330i | ||||
\(679\) | 45.4642 | − | 10.5481i | 1.74476 | − | 0.404801i | ||||
\(680\) | 12.6772 | + | 8.14714i | 0.486148 | + | 0.312429i | ||||
\(681\) | 12.0968 | + | 4.18675i | 0.463551 | + | 0.160437i | ||||
\(682\) | 6.06564 | + | 0.579199i | 0.232265 | + | 0.0221787i | ||||
\(683\) | −1.08034 | − | 22.6792i | −0.0413381 | − | 0.867794i | −0.920374 | − | 0.391039i | \(-0.872116\pi\) |
0.879036 | − | 0.476755i | \(-0.158187\pi\) | |||||||
\(684\) | −0.608126 | − | 2.50673i | −0.0232523 | − | 0.0958473i | ||||
\(685\) | −41.7160 | − | 36.1471i | −1.59389 | − | 1.38111i | ||||
\(686\) | −3.43090 | − | 9.37773i | −0.130992 | − | 0.358043i | ||||
\(687\) | 12.0259 | + | 5.49202i | 0.458815 | + | 0.209534i | ||||
\(688\) | 1.52693 | + | 1.94165i | 0.0582137 | + | 0.0740248i | ||||
\(689\) | 2.21788 | − | 3.84148i | 0.0844945 | − | 0.146349i | ||||
\(690\) | −5.55431 | − | 4.21187i | −0.211449 | − | 0.160343i | ||||
\(691\) | 32.2314 | − | 18.6088i | 1.22614 | − | 0.707912i | 0.259919 | − | 0.965630i | \(-0.416304\pi\) |
0.966220 | + | 0.257718i | \(0.0829707\pi\) | |||||||
\(692\) | 5.42500 | − | 0.779998i | 0.206228 | − | 0.0296511i | ||||
\(693\) | 0.774446 | − | 13.4250i | 0.0294188 | − | 0.509974i | ||||
\(694\) | −8.46897 | + | 2.48671i | −0.321478 | + | 0.0943943i | ||||
\(695\) | −9.14839 | + | 47.4663i | −0.347018 | + | 1.80050i | ||||
\(696\) | −3.72512 | − | 3.90679i | −0.141200 | − | 0.148086i | ||||
\(697\) | −9.35875 | + | 0.445812i | −0.354488 | + | 0.0168863i | ||||
\(698\) | −0.710368 | − | 0.505851i | −0.0268878 | − | 0.0191467i | ||||
\(699\) | −14.5390 | + | 12.5981i | −0.549915 | + | 0.476504i | ||||
\(700\) | −9.72215 | + | 3.25613i | −0.367463 | + | 0.123070i | ||||
\(701\) | 19.9403 | + | 2.86698i | 0.753134 | + | 0.108284i | 0.508181 | − | 0.861250i | \(-0.330318\pi\) |
0.244954 | + | 0.969535i | \(0.421227\pi\) | |||||||
\(702\) | −0.707298 | + | 0.283159i | −0.0266952 | + | 0.0106872i | ||||
\(703\) | 3.52597 | + | 6.83943i | 0.132984 | + | 0.257954i | ||||
\(704\) | −1.77330 | − | 9.20075i | −0.0668337 | − | 0.346766i | ||||
\(705\) | 8.55968 | − | 12.0204i | 0.322376 | − | 0.452714i | ||||
\(706\) | 7.51631 | + | 11.6956i | 0.282880 | + | 0.440170i | ||||
\(707\) | 4.19087 | − | 8.93854i | 0.157614 | − | 0.336168i | ||||
\(708\) | 1.02689 | − | 1.18510i | 0.0385930 | − | 0.0445387i | ||||
\(709\) | −12.6125 | + | 13.2277i | −0.473674 | + | 0.496775i | −0.916612 | − | 0.399777i | \(-0.869088\pi\) |
0.442938 | + | 0.896552i | \(0.353936\pi\) | |||||||
\(710\) | 7.94853 | + | 11.1621i | 0.298303 | + | 0.418908i | ||||
\(711\) | −5.00147 | + | 12.4931i | −0.187570 | + | 0.468527i | ||||
\(712\) | 13.9217 | + | 24.1132i | 0.521739 | + | 0.903679i | ||||
\(713\) | 10.2828 | + | 2.82368i | 0.385092 | + | 0.105747i | ||||
\(714\) | 0.606971 | − | 3.94077i | 0.0227153 | − | 0.147479i | ||||
\(715\) | 2.75533 | + | 19.1637i | 0.103044 | + | 0.716683i | ||||
\(716\) | 15.6577 | − | 1.49513i | 0.585155 | − | 0.0558755i | ||||
\(717\) | 6.77517 | + | 1.64364i | 0.253023 | + | 0.0613828i | ||||
\(718\) | 11.1378 | − | 3.85482i | 0.415658 | − | 0.143861i | ||||
\(719\) | −4.72722 | + | 1.14681i | −0.176295 | + | 0.0427688i | −0.322935 | − | 0.946421i | \(-0.604669\pi\) |
0.146639 | + | 0.989190i | \(0.453154\pi\) | |||||||
\(720\) | −5.30731 | + | 3.41080i | −0.197792 | + | 0.127113i | ||||
\(721\) | −7.85743 | − | 1.98979i | −0.292626 | − | 0.0741036i | ||||
\(722\) | 5.90451 | + | 6.81417i | 0.219743 | + | 0.253597i | ||||
\(723\) | −0.619552 | − | 0.0295129i | −0.0230414 | − | 0.00109760i | ||||
\(724\) | 23.1400 | + | 18.1975i | 0.859990 | + | 0.676304i | ||||
\(725\) | 4.81012 | + | 3.78272i | 0.178643 | + | 0.140487i | ||||
\(726\) | 7.98849 | + | 0.380538i | 0.296481 | + | 0.0141231i | ||||
\(727\) | 4.70871 | + | 5.43414i | 0.174636 | + | 0.201541i | 0.836319 | − | 0.548243i | \(-0.184703\pi\) |
−0.661683 | + | 0.749784i | \(0.730157\pi\) | |||||||
\(728\) | 5.35931 | + | 5.21364i | 0.198629 | + | 0.193230i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | 17.6582 | − | 4.28383i | 0.653559 | − | 0.158552i | ||||
\(731\) | 2.78793 | − | 0.964911i | 0.103115 | − | 0.0356885i | ||||
\(732\) | 4.34056 | + | 1.05301i | 0.160432 | + | 0.0389203i | ||||
\(733\) | 49.6566 | − | 4.74163i | 1.83411 | − | 0.175136i | 0.880075 | − | 0.474835i | \(-0.157492\pi\) |
0.954034 | + | 0.299699i | \(0.0968861\pi\) | |||||||
\(734\) | 2.70458 | + | 18.8107i | 0.0998277 | + | 0.694317i | ||||
\(735\) | 12.7457 | + | 13.9154i | 0.470131 | + | 0.513278i | ||||
\(736\) | 0.444159 | + | 25.2304i | 0.0163719 | + | 0.930004i | ||||
\(737\) | 35.5763 | + | 61.6200i | 1.31047 | + | 2.26980i | ||||
\(738\) | −0.671727 | + | 1.67789i | −0.0247266 | + | 0.0617641i | ||||
\(739\) | 17.2685 | + | 24.2503i | 0.635234 | + | 0.892061i | 0.999226 | − | 0.0393410i | \(-0.0125258\pi\) |
−0.363992 | + | 0.931402i | \(0.618586\pi\) | |||||||
\(740\) | 16.2139 | − | 17.0046i | 0.596033 | − | 0.625102i | ||||
\(741\) | 1.39641 | − | 1.61154i | 0.0512983 | − | 0.0592014i | ||||
\(742\) | 4.46184 | − | 0.380967i | 0.163799 | − | 0.0139857i | ||||
\(743\) | 2.21637 | + | 3.44874i | 0.0813107 | + | 0.126522i | 0.879527 | − | 0.475849i | \(-0.157859\pi\) |
−0.798216 | + | 0.602371i | \(0.794223\pi\) | |||||||
\(744\) | −2.57942 | + | 3.62229i | −0.0945662 | + | 0.132800i | ||||
\(745\) | −8.49418 | − | 44.0720i | −0.311202 | − | 1.61467i | ||||
\(746\) | 6.37250 | + | 12.3609i | 0.233314 | + | 0.452566i | ||||
\(747\) | 6.59458 | − | 2.64007i | 0.241283 | − | 0.0965952i | ||||
\(748\) | −24.0356 | − | 3.45580i | −0.878828 | − | 0.126356i | ||||
\(749\) | 10.8683 | + | 32.4507i | 0.397121 | + | 1.18572i | ||||
\(750\) | 3.00194 | − | 2.60120i | 0.109615 | − | 0.0949823i | ||||
\(751\) | 10.7391 | + | 7.64727i | 0.391875 | + | 0.279053i | 0.758964 | − | 0.651133i | \(-0.225706\pi\) |
−0.367089 | + | 0.930186i | \(0.619645\pi\) | |||||||
\(752\) | −12.7961 | + | 0.609553i | −0.466625 | + | 0.0222281i | ||||
\(753\) | −5.59199 | − | 5.86471i | −0.203784 | − | 0.213722i | ||||
\(754\) | 0.389173 | − | 2.01922i | 0.0141728 | − | 0.0735357i | ||||
\(755\) | −52.7765 | + | 15.4966i | −1.92073 | + | 0.563978i | ||||
\(756\) | 3.77976 | + | 2.48298i | 0.137468 | + | 0.0903052i | ||||
\(757\) | −16.1673 | + | 2.32450i | −0.587610 | + | 0.0844855i | −0.429706 | − | 0.902969i | \(-0.641383\pi\) |
−0.157904 | + | 0.987454i | \(0.550474\pi\) | |||||||
\(758\) | 7.89948 | − | 4.56077i | 0.286922 | − | 0.165655i | ||||
\(759\) | 23.7857 | + | 5.32887i | 0.863368 | + | 0.193426i | ||||
\(760\) | −4.06800 | + | 7.04599i | −0.147562 | + | 0.255585i | ||||
\(761\) | 19.4837 | + | 24.7755i | 0.706283 | + | 0.898111i | 0.998299 | − | 0.0583020i | \(-0.0185686\pi\) |
−0.292016 | + | 0.956413i | \(0.594326\pi\) | |||||||
\(762\) | 7.67101 | + | 3.50323i | 0.277891 | + | 0.126909i | ||||
\(763\) | −3.99732 | − | 29.9284i | −0.144713 | − | 1.08348i | ||||
\(764\) | 1.37630 | + | 1.19257i | 0.0497926 | + | 0.0431455i | ||||
\(765\) | 1.77642 | + | 7.32249i | 0.0642265 | + | 0.264745i | ||||
\(766\) | 0.720788 | + | 15.1312i | 0.0260431 | + | 0.546713i | ||||
\(767\) | 1.29046 | + | 0.123224i | 0.0465956 | + | 0.00444934i | ||||
\(768\) | −2.38402 | − | 0.825119i | −0.0860261 | − | 0.0297739i | ||||
\(769\) | −22.0898 | − | 14.1963i | −0.796579 | − | 0.511930i | 0.0779186 | − | 0.996960i | \(-0.475173\pi\) |
−0.874498 | + | 0.485029i | \(0.838809\pi\) | |||||||
\(770\) | −14.2802 | + | 13.3455i | −0.514624 | + | 0.480938i | ||||
\(771\) | −0.175870 | + | 1.22321i | −0.00633382 | + | 0.0440527i | ||||
\(772\) | 0.386863 | − | 8.12125i | 0.0139235 | − | 0.292290i | ||||
\(773\) | −14.5742 | + | 2.80894i | −0.524197 | + | 0.101031i | −0.444483 | − | 0.895787i | \(-0.646613\pi\) |
−0.0797137 | + | 0.996818i | \(0.525401\pi\) | |||||||
\(774\) | 0.0540957 | − | 0.566516i | 0.00194443 | − | 0.0203630i | ||||
\(775\) | 2.30991 | − | 4.48060i | 0.0829744 | − | 0.160948i | ||||
\(776\) | −33.8506 | − | 9.93944i | −1.21517 | − | 0.356805i | ||||
\(777\) | −12.7040 | − | 4.53997i | −0.455752 | − | 0.162870i | ||||
\(778\) | 0.0564674 | + | 0.192310i | 0.00202445 | + | 0.00689466i | ||||
\(779\) | −0.480844 | − | 5.03563i | −0.0172280 | − | 0.180420i | ||||
\(780\) | −6.04467 | − | 2.41992i | −0.216434 | − | 0.0866471i | ||||
\(781\) | −41.4976 | − | 23.9587i | −1.48490 | − | 0.857309i | ||||
\(782\) | 6.87052 | + | 2.24329i | 0.245689 | + | 0.0802200i | ||||
\(783\) | − | 2.69912i | − | 0.0964585i | ||||||
\(784\) | 2.65594 | − | 16.1651i | 0.0948549 | − | 0.577326i | ||||
\(785\) | 2.95485 | − | 6.47023i | 0.105463 | − | 0.230932i | ||||
\(786\) | 2.14120 | + | 2.04163i | 0.0763740 | + | 0.0728225i | ||||
\(787\) | −4.32788 | − | 12.5046i | −0.154272 | − | 0.445740i | 0.841208 | − | 0.540712i | \(-0.181845\pi\) |
−0.995480 | + | 0.0949718i | \(0.969724\pi\) | |||||||
\(788\) | −5.84909 | + | 5.57710i | −0.208365 | + | 0.198676i | ||||
\(789\) | 17.9469 | + | 9.25229i | 0.638928 | + | 0.329390i | ||||
\(790\) | 17.7920 | − | 8.12535i | 0.633012 | − | 0.289087i | ||||
\(791\) | 48.2036 | + | 25.4654i | 1.71392 | + | 0.905447i | ||||
\(792\) | −5.49560 | + | 8.55133i | −0.195278 | + | 0.303858i | ||||
\(793\) | 1.37230 | + | 3.42784i | 0.0487318 | + | 0.121726i | ||||
\(794\) | 10.3845 | − | 13.2050i | 0.368532 | − | 0.468626i | ||||
\(795\) | −7.52173 | + | 3.87772i | −0.266768 | + | 0.137529i | ||||
\(796\) | −13.7589 | + | 39.7538i | −0.487672 | + | 1.40904i | ||||
\(797\) | 3.21419 | + | 7.03810i | 0.113853 | + | 0.249302i | 0.957977 | − | 0.286845i | \(-0.0926064\pi\) |
−0.844124 | + | 0.536147i | \(0.819879\pi\) | |||||||
\(798\) | 2.14081 | + | 0.226097i | 0.0757838 | + | 0.00800375i | ||||
\(799\) | −4.31058 | + | 14.6805i | −0.152497 | + | 0.519359i | ||||
\(800\) | 11.7136 | + | 2.25761i | 0.414138 | + | 0.0798185i | ||||
\(801\) | −3.28225 | + | 13.5296i | −0.115973 | + | 0.478046i | ||||
\(802\) | 8.50768 | − | 6.05829i | 0.300417 | − | 0.213926i | ||||
\(803\) | −49.9450 | + | 39.2772i | −1.76252 | + | 1.38606i | ||||
\(804\) | −23.9288 | −0.843902 | ||||||||
\(805\) | −28.6345 | + | 18.7104i | −1.00923 | + | 0.659456i | ||||
\(806\) | −1.69400 | −0.0596687 | ||||||||
\(807\) | 10.2635 | − | 8.07129i | 0.361292 | − | 0.284123i | ||||
\(808\) | −6.07879 | + | 4.32869i | −0.213851 | + | 0.152283i | ||||
\(809\) | 10.3001 | − | 42.4576i | 0.362132 | − | 1.49273i | −0.441315 | − | 0.897352i | \(-0.645488\pi\) |
0.803447 | − | 0.595376i | \(-0.202997\pi\) | |||||||
\(810\) | 1.42722 | + | 0.275074i | 0.0501474 | + | 0.00966512i | ||||
\(811\) | 3.08614 | − | 10.5104i | 0.108369 | − | 0.369071i | −0.887396 | − | 0.461009i | \(-0.847488\pi\) |
0.995765 | + | 0.0919373i | \(0.0293059\pi\) | |||||||
\(812\) | −11.1536 | + | 4.95917i | −0.391414 | + | 0.174033i | ||||
\(813\) | −2.29317 | − | 5.02134i | −0.0804250 | − | 0.176106i | ||||
\(814\) | 4.57028 | − | 13.2049i | 0.160188 | − | 0.462833i | ||||
\(815\) | 20.9075 | − | 10.7785i | 0.732357 | − | 0.377556i | ||||
\(816\) | 4.04352 | − | 5.14175i | 0.141551 | − | 0.179997i | ||||
\(817\) | 0.591988 | + | 1.47871i | 0.0207110 | + | 0.0517337i | ||||
\(818\) | 3.08082 | − | 4.79385i | 0.107718 | − | 0.167613i | ||||
\(819\) | 0.140450 | + | 3.73591i | 0.00490771 | + | 0.130543i | ||||
\(820\) | −14.0501 | + | 6.41647i | −0.490651 | + | 0.224073i | ||||
\(821\) | −40.6189 | − | 20.9405i | −1.41761 | − | 0.730828i | −0.432318 | − | 0.901721i | \(-0.642304\pi\) |
−0.985290 | + | 0.170893i | \(0.945335\pi\) | |||||||
\(822\) | 7.99005 | − | 7.61849i | 0.278685 | − | 0.265726i | ||||
\(823\) | 7.94740 | + | 22.9625i | 0.277029 | + | 0.800422i | 0.994585 | + | 0.103922i | \(0.0331393\pi\) |
−0.717557 | + | 0.696500i | \(0.754740\pi\) | |||||||
\(824\) | 4.43432 | + | 4.22811i | 0.154477 | + | 0.147293i | ||||
\(825\) | 4.78688 | − | 10.4818i | 0.166658 | − | 0.364929i | ||||
\(826\) | 0.642954 | + | 1.13986i | 0.0223712 | + | 0.0396609i | ||||
\(827\) | − | 9.65290i | − | 0.335664i | −0.985816 | − | 0.167832i | \(-0.946323\pi\) | ||
0.985816 | − | 0.167832i | \(-0.0536767\pi\) | |||||||
\(828\) | −5.55160 | + | 6.03144i | −0.192932 | + | 0.209607i | ||||
\(829\) | −35.7196 | − | 20.6227i | −1.24059 | − | 0.716256i | −0.271377 | − | 0.962473i | \(-0.587479\pi\) |
−0.969215 | + | 0.246217i | \(0.920812\pi\) | |||||||
\(830\) | −9.58514 | − | 3.83731i | −0.332705 | − | 0.133195i | ||||
\(831\) | 2.74905 | + | 28.7894i | 0.0953635 | + | 0.998692i | ||||
\(832\) | 0.733917 | + | 2.49949i | 0.0254440 | + | 0.0866543i | ||||
\(833\) | −17.2074 | − | 9.31225i | −0.596200 | − | 0.322650i | ||||
\(834\) | −9.27670 | − | 2.72388i | −0.321226 | − | 0.0943204i | ||||
\(835\) | 13.3263 | − | 25.8495i | 0.461176 | − | 0.894557i | ||||
\(836\) | 1.24621 | − | 13.0509i | 0.0431012 | − | 0.451376i | ||||
\(837\) | −2.18329 | + | 0.420795i | −0.0754657 | + | 0.0145448i | ||||
\(838\) | −0.0295522 | + | 0.620377i | −0.00102086 | + | 0.0214306i | ||||
\(839\) | 4.77556 | − | 33.2148i | 0.164871 | − | 1.14670i | −0.724420 | − | 0.689359i | \(-0.757892\pi\) |
0.889291 | − | 0.457342i | \(-0.151199\pi\) | |||||||
\(840\) | −3.22383 | − | 13.8952i | −0.111233 | − | 0.479431i | ||||
\(841\) | −18.2676 | − | 11.7399i | −0.629918 | − | 0.404824i | ||||
\(842\) | 9.88989 | + | 3.42292i | 0.340828 | + | 0.117962i | ||||
\(843\) | −0.0935527 | − | 0.00893320i | −0.00322213 | − | 0.000307676i | ||||
\(844\) | 0.191310 | + | 4.01609i | 0.00658515 | + | 0.138239i | ||||
\(845\) | 6.99318 | + | 28.8263i | 0.240573 | + | 0.991654i | ||||
\(846\) | 2.23054 | + | 1.93278i | 0.0766877 | + | 0.0664503i | ||||
\(847\) | 14.9501 | − | 36.2852i | 0.513691 | − | 1.24677i | ||||
\(848\) | 6.68259 | + | 3.05184i | 0.229481 | + | 0.104800i | ||||
\(849\) | 18.0912 | + | 23.0048i | 0.620888 | + | 0.789524i | ||||
\(850\) | 1.70834 | − | 2.95894i | 0.0585957 | − | 0.101491i | ||||
\(851\) | 11.8524 | − | 21.3899i | 0.406296 | − | 0.733235i | ||||
\(852\) | 13.9557 | − | 8.05734i | 0.478115 | − | 0.276040i | ||||
\(853\) | −51.3421 | + | 7.38188i | −1.75792 | + | 0.252751i | −0.944403 | − | 0.328791i | \(-0.893359\pi\) |
−0.813517 | + | 0.581541i | \(0.802450\pi\) | |||||||
\(854\) | −2.04660 | + | 3.11546i | −0.0700331 | + | 0.106609i | ||||
\(855\) | −3.90332 | + | 1.14612i | −0.133491 | + | 0.0391964i | ||||
\(856\) | 4.89575 | − | 25.4016i | 0.167333 | − | 0.868208i | ||||
\(857\) | 7.94790 | + | 8.33552i | 0.271495 | + | 0.284736i | 0.845341 | − | 0.534228i | \(-0.179397\pi\) |
−0.573845 | + | 0.818964i | \(0.694549\pi\) | |||||||
\(858\) | −3.86792 | + | 0.184252i | −0.132049 | + | 0.00629025i | ||||
\(859\) | 17.7454 | + | 12.6365i | 0.605467 | + | 0.431151i | 0.841244 | − | 0.540656i | \(-0.181824\pi\) |
−0.235777 | + | 0.971807i | \(0.575763\pi\) | |||||||
\(860\) | 3.67563 | − | 3.18495i | 0.125338 | − | 0.108606i | ||||
\(861\) | 6.64404 | + | 5.87471i | 0.226428 | + | 0.200210i | ||||
\(862\) | 7.26465 | + | 1.04450i | 0.247435 | + | 0.0355758i | ||||
\(863\) | −0.00825722 | + | 0.00330569i | −0.000281079 | + | 0.000112527i | −0.371803 | − | 0.928312i | \(-0.621260\pi\) |
0.371522 | + | 0.928424i | \(0.378836\pi\) | |||||||
\(864\) | −2.41106 | − | 4.67679i | −0.0820258 | − | 0.159108i | ||||
\(865\) | −1.63587 | − | 8.48768i | −0.0556211 | − | 0.288590i | ||||
\(866\) | −7.22358 | + | 10.1441i | −0.245467 | + | 0.344711i | ||||
\(867\) | 4.96715 | + | 7.72903i | 0.168693 | + | 0.262492i | ||||
\(868\) | 5.75029 | + | 8.24890i | 0.195178 | + | 0.279986i | ||||
\(869\) | −44.7904 | + | 51.6909i | −1.51941 | + | 1.75349i | ||||
\(870\) | −2.70727 | + | 2.83930i | −0.0917850 | + | 0.0962613i | ||||
\(871\) | −11.4744 | − | 16.1135i | −0.388794 | − | 0.545984i | ||||
\(872\) | −8.48287 | + | 21.1892i | −0.287266 | + | 0.717556i | ||||
\(873\) | −8.82014 | − | 15.2769i | −0.298517 | − | 0.517046i | ||||
\(874\) | −1.03329 | + | 3.76284i | −0.0349514 | + | 0.127280i | ||||
\(875\) | −7.06253 | − | 18.1670i | −0.238757 | − | 0.614156i | ||||
\(876\) | −3.04102 | − | 21.1508i | −0.102747 | − | 0.714618i | ||||
\(877\) | 23.2382 | − | 2.21898i | 0.784700 | − | 0.0749297i | 0.304988 | − | 0.952356i | \(-0.401347\pi\) |
0.479711 | + | 0.877426i | \(0.340741\pi\) | |||||||
\(878\) | −20.3037 | − | 4.92562i | −0.685216 | − | 0.166232i | ||||
\(879\) | 22.4372 | − | 7.76558i | 0.756787 | − | 0.261927i | ||||
\(880\) | −31.1614 | + | 7.55967i | −1.05045 | + | 0.254836i | ||||
\(881\) | 12.8810 | − | 8.27809i | 0.433971 | − | 0.278896i | −0.305362 | − | 0.952236i | \(-0.598777\pi\) |
0.739333 | + | 0.673340i | \(0.235141\pi\) | |||||||
\(882\) | −3.01290 | + | 2.27313i | −0.101450 | + | 0.0765402i | ||||
\(883\) | 20.9130 | + | 24.1349i | 0.703778 | + | 0.812203i | 0.989258 | − | 0.146182i | \(-0.0466984\pi\) |
−0.285480 | + | 0.958385i | \(0.592153\pi\) | |||||||
\(884\) | 6.74330 | + | 0.321223i | 0.226802 | + | 0.0108039i | ||||
\(885\) | −1.94399 | − | 1.52877i | −0.0653466 | − | 0.0513891i | ||||
\(886\) | −5.02415 | − | 3.95104i | −0.168790 | − | 0.132738i | ||||
\(887\) | −22.4962 | − | 1.07163i | −0.755350 | − | 0.0359818i | −0.333625 | − | 0.942706i | \(-0.608272\pi\) |
−0.421725 | + | 0.906724i | \(0.638575\pi\) | |||||||
\(888\) | 6.67817 | + | 7.70701i | 0.224105 | + | 0.258630i | ||||
\(889\) | 28.8553 | − | 29.6615i | 0.967776 | − | 0.994816i | ||||
\(890\) | 17.0232 | − | 10.9402i | 0.570620 | − | 0.366715i | ||||
\(891\) | −4.93934 | + | 1.19827i | −0.165474 | + | 0.0401436i | ||||
\(892\) | −23.0329 | + | 7.97177i | −0.771200 | + | 0.266915i | ||||
\(893\) | −8.02779 | − | 1.94752i | −0.268640 | − | 0.0651713i | ||||
\(894\) | 8.93629 | − | 0.853313i | 0.298874 | − | 0.0285390i | ||||
\(895\) | −3.53032 | − | 24.5539i | −0.118006 | − | 0.820748i | ||||
\(896\) | −19.0758 | + | 23.7628i | −0.637278 | + | 0.793859i | ||||
\(897\) | −6.72365 | − | 0.846209i | −0.224496 | − | 0.0282541i | ||||
\(898\) | −1.82346 | − | 3.15832i | −0.0608496 | − | 0.105395i | ||||
\(899\) | 2.23050 | − | 5.57152i | 0.0743914 | − | 0.185821i | ||||
\(900\) | 2.24786 | + | 3.15668i | 0.0749287 | + | 0.105223i | ||||
\(901\) | 6.05491 | − | 6.35020i | 0.201718 | − | 0.211556i | ||||
\(902\) | −6.01562 | + | 6.94239i | −0.200298 | + | 0.231156i | ||||
\(903\) | −2.52845 | − | 1.18548i | −0.0841417 | − | 0.0394502i | ||||
\(904\) | −22.2797 | − | 34.6679i | −0.741012 | − | 1.15304i | ||||
\(905\) | 26.9307 | − | 37.8189i | 0.895207 | − | 1.25714i | ||||
\(906\) | −2.08201 | − | 10.8025i | −0.0691702 | − | 0.358889i | ||||
\(907\) | 20.3693 | + | 39.5109i | 0.676352 | + | 1.31194i | 0.937953 | + | 0.346763i | \(0.112719\pi\) |
−0.261601 | + | 0.965176i | \(0.584250\pi\) | |||||||
\(908\) | −20.3131 | + | 8.13213i | −0.674113 | + | 0.269874i | ||||
\(909\) | −3.69337 | − | 0.531027i | −0.122501 | − | 0.0176130i | ||||
\(910\) | 3.59945 | − | 4.07081i | 0.119320 | − | 0.134946i | ||||
\(911\) | 21.5218 | − | 18.6487i | 0.713048 | − | 0.617860i | −0.220888 | − | 0.975299i | \(-0.570896\pi\) |
0.933936 | + | 0.357439i | \(0.116350\pi\) | |||||||
\(912\) | 2.87677 | + | 2.04854i | 0.0952595 | + | 0.0678340i | ||||
\(913\) | 36.0630 | − | 1.71789i | 1.19351 | − | 0.0568540i | ||||
\(914\) | −7.90279 | − | 8.28821i | −0.261401 | − | 0.274149i | ||||
\(915\) | 1.33312 | − | 6.91687i | 0.0440715 | − | 0.228665i | ||||
\(916\) | −21.6825 | + | 6.36654i | −0.716408 | + | 0.210356i | ||||
\(917\) | 12.9699 | − | 6.52274i | 0.428304 | − | 0.215400i | ||||
\(918\) | −1.49169 | + | 0.214473i | −0.0492332 | + | 0.00707867i | ||||
\(919\) | 11.8677 | − | 6.85179i | 0.391478 | − | 0.226020i | −0.291323 | − | 0.956625i | \(-0.594095\pi\) |
0.682800 | + | 0.730605i | \(0.260762\pi\) | |||||||
\(920\) | 25.8013 | − | 1.68469i | 0.850644 | − | 0.0555426i | ||||
\(921\) | −4.37911 | + | 7.58484i | −0.144297 | + | 0.249929i | ||||
\(922\) | −9.32593 | − | 11.8589i | −0.307133 | − | 0.390552i | ||||
\(923\) | 12.1178 | + | 5.53403i | 0.398863 | + | 0.182155i | ||||
\(924\) | 14.0268 | + | 18.2093i | 0.461449 | + | 0.599041i | ||||
\(925\) | −8.73674 | − | 7.57043i | −0.287262 | − | 0.248914i | ||||
\(926\) | −1.66208 | − | 6.85117i | −0.0546192 | − | 0.225143i | ||||
\(927\) | 0.145771 | + | 3.06010i | 0.00478774 | + | 0.100507i | ||||
\(928\) | 14.1377 | + | 1.34998i | 0.464091 | + | 0.0443154i | ||||
\(929\) | −8.68759 | − | 3.00680i | −0.285031 | − | 0.0986500i | 0.180812 | − | 0.983518i | \(-0.442127\pi\) |
−0.465842 | + | 0.884868i | \(0.654249\pi\) | |||||||
\(930\) | 2.71875 | + | 1.74724i | 0.0891515 | + | 0.0572942i | ||||
\(931\) | 4.57996 | − | 9.51900i | 0.150102 | − | 0.311973i | ||||
\(932\) | 4.67975 | − | 32.5484i | 0.153290 | − | 1.06616i | ||||
\(933\) | 0.644675 | − | 13.5334i | 0.0211057 | − | 0.443063i | ||||
\(934\) | −19.4194 | + | 3.74279i | −0.635423 | + | 0.122468i | ||||
\(935\) | −3.64036 | + | 38.1235i | −0.119052 | + | 1.24677i | ||||
\(936\) | 1.29495 | − | 2.51186i | 0.0423268 | − | 0.0821026i | ||||
\(937\) | 23.4973 | + | 6.89942i | 0.767622 | + | 0.225394i | 0.642021 | − | 0.766687i | \(-0.278096\pi\) |
0.125601 | + | 0.992081i | \(0.459914\pi\) | |||||||
\(938\) | 6.72042 | − | 18.8054i | 0.219429 | − | 0.614018i | ||||
\(939\) | 1.20648 | + | 4.10888i | 0.0393719 | + | 0.134088i | ||||
\(940\) | 2.39763 | + | 25.1092i | 0.0782022 | + | 0.818971i | ||||
\(941\) | 22.8799 | + | 9.15972i | 0.745862 | + | 0.298598i | 0.713288 | − | 0.700871i | \(-0.247205\pi\) |
0.0325744 | + | 0.999469i | \(0.489629\pi\) | |||||||
\(942\) | 1.23206 | + | 0.711328i | 0.0401426 | + | 0.0231763i | ||||
\(943\) | −12.4598 | + | 10.1584i | −0.405746 | + | 0.330804i | ||||
\(944\) | 2.14696i | 0.0698777i | ||||||||
\(945\) | 3.62790 | − | 6.14073i | 0.118015 | − | 0.199758i | ||||
\(946\) | 1.20158 | − | 2.63109i | 0.0390667 | − | 0.0855442i | ||||
\(947\) | −4.91684 | − | 4.68820i | −0.159776 | − | 0.152346i | 0.605974 | − | 0.795484i | \(-0.292783\pi\) |
−0.765750 | + | 0.643138i | \(0.777632\pi\) | |||||||
\(948\) | −7.52321 | − | 21.7369i | −0.244343 | − | 0.705981i | ||||
\(949\) | 12.7846 | − | 12.1901i | 0.415005 | − | 0.395706i | ||||
\(950\) | 1.63961 | + | 0.845280i | 0.0531961 | + | 0.0274245i | ||||
\(951\) | −14.7973 | + | 6.75771i | −0.479836 | + | 0.219134i | ||||
\(952\) | 7.87087 | + | 12.5215i | 0.255097 | + | 0.405824i | ||||
\(953\) | 13.3648 | − | 20.7960i | 0.432927 | − | 0.673648i | −0.554417 | − | 0.832239i | \(-0.687059\pi\) |
0.987344 | + | 0.158591i | \(0.0506951\pi\) | |||||||
\(954\) | −0.629059 | − | 1.57131i | −0.0203665 | − | 0.0508731i | ||||
\(955\) | 1.77542 | − | 2.25762i | 0.0574511 | − | 0.0730550i | ||||
\(956\) | −10.5919 | + | 5.46053i | −0.342568 | + | 0.176606i | ||||
\(957\) | 4.48690 | − | 12.9641i | 0.145041 | − | 0.419068i | ||||
\(958\) | −2.49666 | − | 5.46692i | −0.0806633 | − | 0.176628i | ||||
\(959\) | −22.0097 | − | 49.5015i | −0.710729 | − | 1.59849i | ||||
\(960\) | 1.40015 | − | 4.76848i | 0.0451897 | − | 0.153902i | ||||
\(961\) | 25.5853 | + | 4.93116i | 0.825332 | + | 0.159070i | ||||
\(962\) | −0.915881 | + | 3.77531i | −0.0295292 | + | 0.121721i | ||||
\(963\) | 10.5364 | − | 7.50295i | 0.339531 | − | 0.241779i | ||||
\(964\) | 0.833370 | − | 0.655369i | 0.0268410 | − | 0.0211080i | ||||
\(965\) | −12.8227 | −0.412779 | ||||||||
\(966\) | −3.18088 | − | 6.05689i | −0.102343 | − | 0.194877i | ||||
\(967\) | 5.27289 | 0.169565 | 0.0847824 | − | 0.996399i | \(-0.472980\pi\) | ||||
0.0847824 | + | 0.996399i | \(0.472980\pi\) | |||||||
\(968\) | −23.3184 | + | 18.3378i | −0.749483 | + | 0.589400i | ||||
\(969\) | 3.43586 | − | 2.44666i | 0.110376 | − | 0.0785982i | ||||
\(970\) | −6.04484 | + | 24.9172i | −0.194088 | + | 0.800042i | ||||
\(971\) | −24.3087 | − | 4.68513i | −0.780105 | − | 0.150353i | −0.216373 | − | 0.976311i | \(-0.569423\pi\) |
−0.563732 | + | 0.825958i | \(0.690635\pi\) | |||||||
\(972\) | 0.481563 | − | 1.64005i | 0.0154461 | − | 0.0526048i | ||||
\(973\) | −27.9056 | + | 38.3682i | −0.894613 | + | 1.23003i | ||||
\(974\) | −6.09750 | − | 13.3517i | −0.195377 | − | 0.427815i | ||||
\(975\) | −1.04779 | + | 3.02739i | −0.0335562 | + | 0.0969542i | ||||
\(976\) | −5.43542 | + | 2.80215i | −0.173984 | + | 0.0896948i | ||||
\(977\) | 12.9193 | − | 16.4282i | 0.413324 | − | 0.525584i | −0.534162 | − | 0.845382i | \(-0.679373\pi\) |
0.947486 | + | 0.319798i | \(0.103615\pi\) | |||||||
\(978\) | 1.74854 | + | 4.36763i | 0.0559120 | + | 0.139661i | ||||
\(979\) | −38.2560 | + | 59.5276i | −1.22267 | + | 1.90251i | ||||
\(980\) | −32.0410 | − | 3.70903i | −1.02351 | − | 0.118481i | ||||
\(981\) | −10.3810 | + | 4.74086i | −0.331441 | + | 0.151364i | ||||
\(982\) | −5.18353 | − | 2.67230i | −0.165413 | − | 0.0852764i | ||||
\(983\) | 28.8529 | − | 27.5112i | 0.920265 | − | 0.877471i | −0.0725215 | − | 0.997367i | \(-0.523105\pi\) |
0.992786 | + | 0.119896i | \(0.0382561\pi\) | |||||||
\(984\) | −2.19267 | − | 6.33530i | −0.0698997 | − | 0.201962i | ||||
\(985\) | 9.22475 | + | 8.79578i | 0.293925 | + | 0.280257i | ||||
\(986\) | 1.68977 | − | 3.70007i | 0.0538131 | − | 0.117834i | ||||
\(987\) | 12.6145 | − | 7.11534i | 0.401522 | − | 0.226484i | ||||
\(988\) | 3.64485i | 0.115958i | ||||||||
\(989\) | 2.86319 | − | 4.17439i | 0.0910442 | − | 0.132738i | ||||
\(990\) | 6.39777 | + | 3.69375i | 0.203335 | + | 0.117395i | ||||
\(991\) | −40.1789 | − | 16.0852i | −1.27632 | − | 0.510963i | −0.368232 | − | 0.929734i | \(-0.620037\pi\) |
−0.908092 | + | 0.418771i | \(0.862461\pi\) | |||||||
\(992\) | −1.11209 | − | 11.6463i | −0.0353088 | − | 0.369771i | ||||
\(993\) | 8.09419 | + | 27.5663i | 0.256861 | + | 0.874790i | ||||
\(994\) | 2.41271 | + | 13.2306i | 0.0765265 | + | 0.419649i | ||||
\(995\) | 63.6583 | + | 18.6917i | 2.01810 | + | 0.592568i | ||||
\(996\) | −5.56370 | + | 10.7921i | −0.176293 | + | 0.341960i | ||||
\(997\) | 3.39808 | − | 35.5863i | 0.107618 | − | 1.12703i | −0.766809 | − | 0.641875i | \(-0.778157\pi\) |
0.874428 | − | 0.485156i | \(-0.161237\pi\) | |||||||
\(998\) | −4.55882 | + | 0.878640i | −0.144307 | + | 0.0278129i | ||||
\(999\) | −0.242622 | + | 5.09327i | −0.00767623 | + | 0.161144i |
(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 | 483.2.bf.a.388.15 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.250.18 | yes | 640 | |
23.15 | odd | 22 | inner | 483.2.bf.a.199.18 | yes | 640 | |
161.61 | even | 66 | inner | 483.2.bf.a.61.15 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.15 | ✓ | 640 | 161.61 | even | 66 | inner | |
483.2.bf.a.199.18 | yes | 640 | 23.15 | odd | 22 | inner | |
483.2.bf.a.250.18 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.388.15 | yes | 640 | 1.1 | even | 1 | trivial |