Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 19.3 | ||
Character | \(\chi\) | \(=\) | 29.19 |
Dual form | 29.3.f.a.26.3 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.488049 | + | 0.776726i | 0.244025 | + | 0.388363i | 0.946170 | − | 0.323671i | \(-0.104917\pi\) |
−0.702145 | + | 0.712034i | \(0.747774\pi\) | |||||||
\(3\) | −1.66190 | + | 4.74943i | −0.553966 | + | 1.58314i | 0.237148 | + | 0.971474i | \(0.423787\pi\) |
−0.791114 | + | 0.611669i | \(0.790498\pi\) | |||||||
\(4\) | 1.37042 | − | 2.84571i | 0.342606 | − | 0.711429i | ||||
\(5\) | −1.98497 | − | 0.453055i | −0.396993 | − | 0.0906111i | 0.0193635 | − | 0.999813i | \(-0.493836\pi\) |
−0.416356 | + | 0.909201i | \(0.636693\pi\) | |||||||
\(6\) | −4.50009 | + | 1.02712i | −0.750015 | + | 0.171186i | ||||
\(7\) | 9.56374 | − | 4.60566i | 1.36625 | − | 0.657951i | 0.400228 | − | 0.916415i | \(-0.368931\pi\) |
0.966021 | + | 0.258465i | \(0.0832165\pi\) | |||||||
\(8\) | 6.52543 | − | 0.735239i | 0.815678 | − | 0.0919049i | ||||
\(9\) | −12.7587 | − | 10.1747i | −1.41763 | − | 1.13052i | ||||
\(10\) | −0.616861 | − | 1.76289i | −0.0616861 | − | 0.176289i | ||||
\(11\) | −11.6332 | − | 1.31075i | −1.05756 | − | 0.119159i | −0.433985 | − | 0.900920i | \(-0.642893\pi\) |
−0.623577 | + | 0.781762i | \(0.714321\pi\) | |||||||
\(12\) | 11.2380 | + | 11.2380i | 0.936501 | + | 0.936501i | ||||
\(13\) | −11.0274 | + | 8.79408i | −0.848264 | + | 0.676468i | −0.947904 | − | 0.318556i | \(-0.896802\pi\) |
0.0996406 | + | 0.995023i | \(0.468231\pi\) | |||||||
\(14\) | 8.24491 | + | 5.18062i | 0.588922 | + | 0.370044i | ||||
\(15\) | 5.45056 | − | 8.67452i | 0.363371 | − | 0.578301i | ||||
\(16\) | −4.12137 | − | 5.16804i | −0.257586 | − | 0.323002i | ||||
\(17\) | 0.154761 | − | 0.154761i | 0.00910357 | − | 0.00910357i | −0.702540 | − | 0.711644i | \(-0.747951\pi\) |
0.711644 | + | 0.702540i | \(0.247951\pi\) | |||||||
\(18\) | 1.67610 | − | 14.8758i | 0.0931165 | − | 0.826431i | ||||
\(19\) | 20.3603 | − | 7.12436i | 1.07159 | − | 0.374966i | 0.263888 | − | 0.964553i | \(-0.414995\pi\) |
0.807705 | + | 0.589587i | \(0.200710\pi\) | |||||||
\(20\) | −4.00951 | + | 5.02777i | −0.200475 | + | 0.251388i | ||||
\(21\) | 5.98028 | + | 53.0764i | 0.284775 | + | 2.52745i | ||||
\(22\) | −4.65948 | − | 9.67551i | −0.211794 | − | 0.439796i | ||||
\(23\) | 1.51251 | + | 6.62676i | 0.0657615 | + | 0.288120i | 0.997106 | − | 0.0760183i | \(-0.0242207\pi\) |
−0.931345 | + | 0.364138i | \(0.881364\pi\) | |||||||
\(24\) | −7.35262 | + | 32.2139i | −0.306359 | + | 1.34225i | ||||
\(25\) | −18.7894 | − | 9.04850i | −0.751576 | − | 0.361940i | ||||
\(26\) | −12.2125 | − | 4.27334i | −0.469712 | − | 0.164359i | ||||
\(27\) | 31.1828 | − | 19.5935i | 1.15492 | − | 0.725684i | ||||
\(28\) | − | 33.5274i | − | 1.19741i | ||||||
\(29\) | −15.7913 | + | 24.3235i | −0.544528 | + | 0.838742i | ||||
\(30\) | 9.39787 | 0.313262 | ||||||||
\(31\) | −0.406230 | − | 0.646512i | −0.0131042 | − | 0.0208552i | 0.840108 | − | 0.542419i | \(-0.182492\pi\) |
−0.853212 | + | 0.521564i | \(0.825349\pi\) | |||||||
\(32\) | 10.6781 | − | 30.5163i | 0.333691 | − | 0.953634i | ||||
\(33\) | 25.5584 | − | 53.0727i | 0.774498 | − | 1.60826i | ||||
\(34\) | 0.195737 | + | 0.0446758i | 0.00575698 | + | 0.00131399i | ||||
\(35\) | −21.0703 | + | 4.80916i | −0.602009 | + | 0.137405i | ||||
\(36\) | −46.4391 | + | 22.3639i | −1.28998 | + | 0.621220i | ||||
\(37\) | −6.96097 | + | 0.784313i | −0.188134 | + | 0.0211977i | −0.205529 | − | 0.978651i | \(-0.565891\pi\) |
0.0173945 | + | 0.999849i | \(0.494463\pi\) | |||||||
\(38\) | 15.4705 | + | 12.3373i | 0.407118 | + | 0.324666i | ||||
\(39\) | −23.4404 | − | 66.9888i | −0.601036 | − | 1.71766i | ||||
\(40\) | −13.2858 | − | 1.49696i | −0.332146 | − | 0.0374239i | ||||
\(41\) | 35.8917 | + | 35.8917i | 0.875407 | + | 0.875407i | 0.993055 | − | 0.117648i | \(-0.0375355\pi\) |
−0.117648 | + | 0.993055i | \(0.537536\pi\) | |||||||
\(42\) | −38.3072 | + | 30.5490i | −0.912076 | + | 0.727356i | ||||
\(43\) | 18.2000 | + | 11.4358i | 0.423256 | + | 0.265949i | 0.726774 | − | 0.686876i | \(-0.241019\pi\) |
−0.303519 | + | 0.952825i | \(0.598161\pi\) | |||||||
\(44\) | −19.6724 | + | 31.3084i | −0.447100 | + | 0.711556i | ||||
\(45\) | 20.7158 | + | 25.9768i | 0.460352 | + | 0.577263i | ||||
\(46\) | −4.40899 | + | 4.40899i | −0.0958477 | + | 0.0958477i | ||||
\(47\) | −2.57409 | + | 22.8457i | −0.0547678 | + | 0.486078i | 0.936149 | + | 0.351603i | \(0.114363\pi\) |
−0.990917 | + | 0.134475i | \(0.957065\pi\) | |||||||
\(48\) | 31.3945 | − | 10.9854i | 0.654053 | − | 0.228863i | ||||
\(49\) | 39.7021 | − | 49.7849i | 0.810247 | − | 1.01602i | ||||
\(50\) | −2.14195 | − | 19.0103i | −0.0428390 | − | 0.380206i | ||||
\(51\) | 0.477828 | + | 0.992221i | 0.00936919 | + | 0.0194553i | ||||
\(52\) | 9.91319 | + | 43.4325i | 0.190638 | + | 0.835241i | ||||
\(53\) | 12.7427 | − | 55.8292i | 0.240427 | − | 1.05338i | −0.700202 | − | 0.713945i | \(-0.746907\pi\) |
0.940629 | − | 0.339436i | \(-0.110236\pi\) | |||||||
\(54\) | 30.4375 | + | 14.6579i | 0.563657 | + | 0.271443i | ||||
\(55\) | 22.4976 | + | 7.87226i | 0.409048 | + | 0.143132i | ||||
\(56\) | 59.0212 | − | 37.0855i | 1.05395 | − | 0.662241i | ||||
\(57\) | 108.540i | 1.90420i | ||||||||
\(58\) | −26.5997 | − | 0.394450i | −0.458615 | − | 0.00680085i | ||||
\(59\) | −48.4185 | −0.820652 | −0.410326 | − | 0.911939i | \(-0.634585\pi\) | ||||
−0.410326 | + | 0.911939i | \(0.634585\pi\) | |||||||
\(60\) | −17.2156 | − | 27.3985i | −0.286927 | − | 0.456642i | ||||
\(61\) | −24.4350 | + | 69.8312i | −0.400574 | + | 1.14477i | 0.550239 | + | 0.835007i | \(0.314537\pi\) |
−0.950813 | + | 0.309766i | \(0.899749\pi\) | |||||||
\(62\) | 0.303902 | − | 0.631059i | 0.00490165 | − | 0.0101784i | ||||
\(63\) | −168.882 | − | 38.5462i | −2.68067 | − | 0.611845i | ||||
\(64\) | 3.13649 | − | 0.715883i | 0.0490076 | − | 0.0111857i | ||||
\(65\) | 25.8733 | − | 12.4599i | 0.398050 | − | 0.191691i | ||||
\(66\) | 53.6967 | − | 6.05016i | 0.813586 | − | 0.0916692i | ||||
\(67\) | 33.7392 | + | 26.9061i | 0.503570 | + | 0.401584i | 0.842058 | − | 0.539387i | \(-0.181344\pi\) |
−0.338488 | + | 0.940971i | \(0.609915\pi\) | |||||||
\(68\) | −0.228317 | − | 0.652492i | −0.00335760 | − | 0.00959548i | ||||
\(69\) | −33.9870 | − | 3.82941i | −0.492565 | − | 0.0554987i | ||||
\(70\) | −14.0188 | − | 14.0188i | −0.200268 | − | 0.200268i | ||||
\(71\) | 78.3788 | − | 62.5050i | 1.10393 | − | 0.880352i | 0.110393 | − | 0.993888i | \(-0.464789\pi\) |
0.993534 | + | 0.113536i | \(0.0362177\pi\) | |||||||
\(72\) | −90.7367 | − | 57.0137i | −1.26023 | − | 0.791856i | ||||
\(73\) | 5.59603 | − | 8.90604i | 0.0766580 | − | 0.122001i | −0.806195 | − | 0.591650i | \(-0.798477\pi\) |
0.882853 | + | 0.469649i | \(0.155620\pi\) | |||||||
\(74\) | −4.00650 | − | 5.02399i | −0.0541418 | − | 0.0678917i | ||||
\(75\) | 74.2012 | − | 74.2012i | 0.989350 | − | 0.989350i | ||||
\(76\) | 7.62828 | − | 67.7029i | 0.100372 | − | 0.890827i | ||||
\(77\) | −117.294 | + | 41.0428i | −1.52329 | + | 0.533024i | ||||
\(78\) | 40.5919 | − | 50.9006i | 0.520409 | − | 0.652572i | ||||
\(79\) | 4.65001 | + | 41.2700i | 0.0588609 | + | 0.522405i | 0.988199 | + | 0.153175i | \(0.0489499\pi\) |
−0.929338 | + | 0.369230i | \(0.879622\pi\) | |||||||
\(80\) | 5.83937 | + | 12.1256i | 0.0729922 | + | 0.151570i | ||||
\(81\) | 8.55329 | + | 37.4744i | 0.105596 | + | 0.462647i | ||||
\(82\) | −10.3611 | + | 45.3949i | −0.126355 | + | 0.553597i | ||||
\(83\) | 85.5238 | + | 41.1861i | 1.03041 | + | 0.496218i | 0.871149 | − | 0.491019i | \(-0.163375\pi\) |
0.159259 | + | 0.987237i | \(0.449090\pi\) | |||||||
\(84\) | 159.236 | + | 55.7191i | 1.89567 | + | 0.663322i | ||||
\(85\) | −0.377310 | + | 0.237079i | −0.00443894 | + | 0.00278917i | ||||
\(86\) | 19.7176i | 0.229275i | ||||||||
\(87\) | −89.2793 | − | 115.423i | −1.02620 | − | 1.32670i | ||||
\(88\) | −76.8752 | −0.873582 | ||||||||
\(89\) | −89.2455 | − | 142.033i | −1.00276 | − | 1.59588i | −0.784633 | − | 0.619961i | \(-0.787148\pi\) |
−0.218126 | − | 0.975921i | \(-0.569994\pi\) | |||||||
\(90\) | −10.0665 | + | 28.7685i | −0.111850 | + | 0.319650i | ||||
\(91\) | −64.9610 | + | 134.893i | −0.713857 | + | 1.48234i | ||||
\(92\) | 20.9306 | + | 4.77728i | 0.227507 | + | 0.0519270i | ||||
\(93\) | 3.74568 | − | 0.854926i | 0.0402761 | − | 0.00919275i | ||||
\(94\) | −19.0011 | + | 9.15045i | −0.202139 | + | 0.0973452i | ||||
\(95\) | −43.6421 | + | 4.91729i | −0.459391 | + | 0.0517609i | ||||
\(96\) | 127.189 | + | 101.430i | 1.32489 | + | 1.05656i | ||||
\(97\) | 20.2947 | + | 57.9990i | 0.209224 | + | 0.597928i | 0.999898 | − | 0.0143099i | \(-0.00455513\pi\) |
−0.790673 | + | 0.612238i | \(0.790269\pi\) | |||||||
\(98\) | 58.0458 | + | 6.54019i | 0.592304 | + | 0.0667367i | ||||
\(99\) | 135.088 | + | 135.088i | 1.36452 | + | 1.36452i | ||||
\(100\) | −51.4989 | + | 41.0690i | −0.514989 | + | 0.410690i | ||||
\(101\) | −119.742 | − | 75.2390i | −1.18557 | − | 0.744941i | −0.212883 | − | 0.977078i | \(-0.568285\pi\) |
−0.972683 | + | 0.232137i | \(0.925428\pi\) | |||||||
\(102\) | −0.537480 | + | 0.855395i | −0.00526941 | + | 0.00838622i | ||||
\(103\) | 61.1848 | + | 76.7234i | 0.594028 | + | 0.744887i | 0.984434 | − | 0.175756i | \(-0.0562368\pi\) |
−0.390406 | + | 0.920643i | \(0.627665\pi\) | |||||||
\(104\) | −65.4929 | + | 65.4929i | −0.629739 | + | 0.629739i | ||||
\(105\) | 12.1759 | − | 108.064i | 0.115961 | − | 1.02918i | ||||
\(106\) | 49.5831 | − | 17.3499i | 0.467765 | − | 0.163678i | ||||
\(107\) | 91.2780 | − | 114.459i | 0.853066 | − | 1.06971i | −0.143722 | − | 0.989618i | \(-0.545907\pi\) |
0.996787 | − | 0.0800922i | \(-0.0255215\pi\) | |||||||
\(108\) | −13.0237 | − | 115.589i | −0.120590 | − | 1.07027i | ||||
\(109\) | −8.55158 | − | 17.7575i | −0.0784549 | − | 0.162913i | 0.858052 | − | 0.513563i | \(-0.171675\pi\) |
−0.936507 | + | 0.350650i | \(0.885961\pi\) | |||||||
\(110\) | 4.86536 | + | 21.3165i | 0.0442306 | + | 0.193787i | ||||
\(111\) | 7.84338 | − | 34.3641i | 0.0706611 | − | 0.309586i | ||||
\(112\) | −63.2180 | − | 30.4442i | −0.564446 | − | 0.271823i | ||||
\(113\) | −36.2240 | − | 12.6753i | −0.320566 | − | 0.112171i | 0.165199 | − | 0.986260i | \(-0.447173\pi\) |
−0.485765 | + | 0.874089i | \(0.661459\pi\) | |||||||
\(114\) | −84.3055 | + | 52.9726i | −0.739522 | + | 0.464672i | ||||
\(115\) | − | 13.8391i | − | 0.120340i | ||||||
\(116\) | 47.5770 | + | 78.2711i | 0.410147 | + | 0.674751i | ||||
\(117\) | 230.173 | 1.96729 | ||||||||
\(118\) | −23.6306 | − | 37.6079i | −0.200259 | − | 0.318711i | ||||
\(119\) | 0.767317 | − | 2.19287i | 0.00644804 | − | 0.0184274i | ||||
\(120\) | 29.1894 | − | 60.6124i | 0.243245 | − | 0.505103i | ||||
\(121\) | 15.6466 | + | 3.57125i | 0.129311 | + | 0.0295144i | ||||
\(122\) | −66.1652 | + | 15.1018i | −0.542337 | + | 0.123785i | ||||
\(123\) | −230.113 | + | 110.817i | −1.87084 | + | 0.900949i | ||||
\(124\) | −2.39650 | + | 0.270020i | −0.0193266 | + | 0.00217758i | ||||
\(125\) | 72.9923 | + | 58.2094i | 0.583938 | + | 0.465675i | ||||
\(126\) | −52.4829 | − | 149.988i | −0.416531 | − | 1.19038i | ||||
\(127\) | 53.9964 | + | 6.08394i | 0.425169 | + | 0.0479050i | 0.321957 | − | 0.946754i | \(-0.395659\pi\) |
0.103212 | + | 0.994659i | \(0.467088\pi\) | |||||||
\(128\) | −89.3579 | − | 89.3579i | −0.698108 | − | 0.698108i | ||||
\(129\) | −84.5601 | + | 67.4344i | −0.655504 | + | 0.522747i | ||||
\(130\) | 22.3054 | + | 14.0154i | 0.171580 | + | 0.107811i | ||||
\(131\) | −37.0804 | + | 59.0132i | −0.283057 | + | 0.450482i | −0.957744 | − | 0.287621i | \(-0.907136\pi\) |
0.674687 | + | 0.738104i | \(0.264278\pi\) | |||||||
\(132\) | −116.004 | − | 145.464i | −0.878816 | − | 1.10200i | ||||
\(133\) | 161.908 | − | 161.908i | 1.21735 | − | 1.21735i | ||||
\(134\) | −4.43229 | + | 39.3376i | −0.0330768 | + | 0.293565i | ||||
\(135\) | −70.7737 | + | 24.7648i | −0.524250 | + | 0.183443i | ||||
\(136\) | 0.896093 | − | 1.12367i | 0.00658892 | − | 0.00826224i | ||||
\(137\) | 10.8849 | + | 96.6061i | 0.0794518 | + | 0.705154i | 0.968786 | + | 0.247897i | \(0.0797395\pi\) |
−0.889335 | + | 0.457257i | \(0.848832\pi\) | |||||||
\(138\) | −13.6129 | − | 28.2675i | −0.0986443 | − | 0.204837i | ||||
\(139\) | −43.7002 | − | 191.463i | −0.314390 | − | 1.37743i | −0.847235 | − | 0.531219i | \(-0.821734\pi\) |
0.532845 | − | 0.846213i | \(-0.321123\pi\) | |||||||
\(140\) | −15.1898 | + | 66.5507i | −0.108498 | + | 0.475362i | ||||
\(141\) | −104.226 | − | 50.1926i | −0.739191 | − | 0.355976i | ||||
\(142\) | 86.8020 | + | 30.3733i | 0.611282 | + | 0.213897i | ||||
\(143\) | 139.811 | − | 87.8490i | 0.977698 | − | 0.614329i | ||||
\(144\) | 107.871i | 0.749105i | ||||||||
\(145\) | 42.3651 | − | 41.1270i | 0.292173 | − | 0.283635i | ||||
\(146\) | 9.64869 | 0.0660869 | ||||||||
\(147\) | 170.469 | + | 271.300i | 1.15965 | + | 1.84558i | ||||
\(148\) | −7.30755 | + | 20.8838i | −0.0493754 | + | 0.141107i | ||||
\(149\) | 14.9818 | − | 31.1100i | 0.100549 | − | 0.208792i | −0.844626 | − | 0.535357i | \(-0.820177\pi\) |
0.945175 | + | 0.326565i | \(0.105891\pi\) | |||||||
\(150\) | 93.8479 | + | 21.4202i | 0.625652 | + | 0.142801i | ||||
\(151\) | −84.5495 | + | 19.2979i | −0.559931 | + | 0.127801i | −0.493114 | − | 0.869965i | \(-0.664141\pi\) |
−0.0668168 | + | 0.997765i | \(0.521284\pi\) | |||||||
\(152\) | 127.621 | − | 61.4591i | 0.839613 | − | 0.404336i | ||||
\(153\) | −3.54919 | + | 0.399897i | −0.0231973 | + | 0.00261371i | ||||
\(154\) | −89.1241 | − | 71.0741i | −0.578728 | − | 0.461520i | ||||
\(155\) | 0.513447 | + | 1.46735i | 0.00331256 | + | 0.00946676i | ||||
\(156\) | −222.754 | − | 25.0984i | −1.42791 | − | 0.160887i | ||||
\(157\) | −31.5274 | − | 31.5274i | −0.200812 | − | 0.200812i | 0.599536 | − | 0.800348i | \(-0.295352\pi\) |
−0.800348 | + | 0.599536i | \(0.795352\pi\) | |||||||
\(158\) | −29.7860 | + | 23.7536i | −0.188519 | + | 0.150339i | ||||
\(159\) | 243.980 | + | 153.303i | 1.53446 | + | 0.964168i | ||||
\(160\) | −35.0212 | + | 55.7360i | −0.218883 | + | 0.348350i | ||||
\(161\) | 44.9859 | + | 56.4105i | 0.279415 | + | 0.350376i | ||||
\(162\) | −24.9329 | + | 24.9329i | −0.153907 | + | 0.153907i | ||||
\(163\) | −10.5971 | + | 94.0522i | −0.0650131 | + | 0.577008i | 0.918403 | + | 0.395646i | \(0.129479\pi\) |
−0.983416 | + | 0.181362i | \(0.941949\pi\) | |||||||
\(164\) | 151.324 | − | 52.9507i | 0.922709 | − | 0.322870i | ||||
\(165\) | −74.7775 | + | 93.7680i | −0.453197 | + | 0.568291i | ||||
\(166\) | 9.74953 | + | 86.5295i | 0.0587321 | + | 0.521262i | ||||
\(167\) | 9.33539 | + | 19.3851i | 0.0559006 | + | 0.116079i | 0.927048 | − | 0.374943i | \(-0.122338\pi\) |
−0.871147 | + | 0.491022i | \(0.836624\pi\) | |||||||
\(168\) | 78.0477 | + | 341.949i | 0.464570 | + | 2.03541i | ||||
\(169\) | 6.66226 | − | 29.1893i | 0.0394217 | − | 0.172718i | ||||
\(170\) | −0.368291 | − | 0.177360i | −0.00216642 | − | 0.00104329i | ||||
\(171\) | −332.258 | − | 116.262i | −1.94303 | − | 0.679896i | ||||
\(172\) | 57.4848 | − | 36.1201i | 0.334214 | − | 0.210000i | ||||
\(173\) | 76.1743i | 0.440314i | 0.975464 | + | 0.220157i | \(0.0706569\pi\) | ||||
−0.975464 | + | 0.220157i | \(0.929343\pi\) | |||||||
\(174\) | 46.0793 | − | 125.678i | 0.264824 | − | 0.722285i | ||||
\(175\) | −221.371 | −1.26498 | ||||||||
\(176\) | 41.1707 | + | 65.5228i | 0.233924 | + | 0.372289i | ||||
\(177\) | 80.4665 | − | 229.960i | 0.454613 | − | 1.29921i | ||||
\(178\) | 66.7649 | − | 138.639i | 0.375083 | − | 0.778869i | ||||
\(179\) | 107.104 | + | 24.4459i | 0.598349 | + | 0.136569i | 0.510959 | − | 0.859605i | \(-0.329290\pi\) |
0.0873895 | + | 0.996174i | \(0.472148\pi\) | |||||||
\(180\) | 102.312 | − | 23.3521i | 0.568401 | − | 0.129734i | ||||
\(181\) | 267.619 | − | 128.879i | 1.47856 | − | 0.712036i | 0.491275 | − | 0.871005i | \(-0.336531\pi\) |
0.987284 | + | 0.158968i | \(0.0508167\pi\) | |||||||
\(182\) | −136.479 | + | 15.3775i | −0.749884 | + | 0.0844917i | ||||
\(183\) | −291.050 | − | 232.104i | −1.59044 | − | 1.26833i | ||||
\(184\) | 14.7420 | + | 42.1304i | 0.0801198 | + | 0.228969i | ||||
\(185\) | 14.1726 | + | 1.59687i | 0.0766088 | + | 0.00863174i | ||||
\(186\) | 2.49212 | + | 2.49212i | 0.0133985 | + | 0.0133985i | ||||
\(187\) | −2.00321 | + | 1.59751i | −0.0107124 | + | 0.00854282i | ||||
\(188\) | 61.4846 | + | 38.6333i | 0.327046 | + | 0.205497i | ||||
\(189\) | 207.984 | − | 331.004i | 1.10044 | − | 1.75134i | ||||
\(190\) | −25.1189 | − | 31.4981i | −0.132205 | − | 0.165779i | ||||
\(191\) | −131.587 | + | 131.587i | −0.688937 | + | 0.688937i | −0.961997 | − | 0.273060i | \(-0.911964\pi\) |
0.273060 | + | 0.961997i | \(0.411964\pi\) | |||||||
\(192\) | −1.81248 | + | 16.0862i | −0.00944002 | + | 0.0837825i | ||||
\(193\) | 10.5516 | − | 3.69218i | 0.0546717 | − | 0.0191304i | −0.302805 | − | 0.953053i | \(-0.597923\pi\) |
0.357476 | + | 0.933922i | \(0.383637\pi\) | |||||||
\(194\) | −35.1445 | + | 44.0698i | −0.181157 | + | 0.227164i | ||||
\(195\) | 16.1787 | + | 143.590i | 0.0829679 | + | 0.736360i | ||||
\(196\) | −87.2648 | − | 181.207i | −0.445229 | − | 0.924527i | ||||
\(197\) | −43.6695 | − | 191.329i | −0.221673 | − | 0.971211i | −0.956219 | − | 0.292652i | \(-0.905462\pi\) |
0.734546 | − | 0.678559i | \(-0.237395\pi\) | |||||||
\(198\) | −38.9967 | + | 170.856i | −0.196953 | + | 0.862907i | ||||
\(199\) | −191.282 | − | 92.1164i | −0.961214 | − | 0.462896i | −0.113610 | − | 0.993525i | \(-0.536241\pi\) |
−0.847604 | + | 0.530629i | \(0.821956\pi\) | |||||||
\(200\) | −129.262 | − | 45.2306i | −0.646308 | − | 0.226153i | ||||
\(201\) | −183.860 | + | 115.527i | −0.914726 | + | 0.574760i | ||||
\(202\) | − | 129.727i | − | 0.642214i | ||||||
\(203\) | −38.9983 | + | 305.353i | −0.192110 | + | 1.50420i | ||||
\(204\) | 3.47840 | 0.0170510 | ||||||||
\(205\) | −54.9828 | − | 87.5047i | −0.268209 | − | 0.426852i | ||||
\(206\) | −29.7318 | + | 84.9687i | −0.144329 | + | 0.412469i | ||||
\(207\) | 48.1277 | − | 99.9381i | 0.232501 | − | 0.482793i | ||||
\(208\) | 90.8963 | + | 20.7465i | 0.437001 | + | 0.0997427i | ||||
\(209\) | −246.193 | + | 56.1919i | −1.17796 | + | 0.268861i | ||||
\(210\) | 89.8788 | − | 43.2833i | 0.427994 | − | 0.206111i | ||||
\(211\) | 347.213 | − | 39.1215i | 1.64556 | − | 0.185410i | 0.759996 | − | 0.649927i | \(-0.225201\pi\) |
0.885564 | + | 0.464517i | \(0.153772\pi\) | |||||||
\(212\) | −141.411 | − | 112.772i | −0.667034 | − | 0.531942i | ||||
\(213\) | 166.606 | + | 476.131i | 0.782186 | + | 2.23536i | ||||
\(214\) | 133.451 | + | 15.0364i | 0.623605 | + | 0.0702634i | ||||
\(215\) | −30.9453 | − | 30.9453i | −0.143932 | − | 0.143932i | ||||
\(216\) | 189.075 | − | 150.782i | 0.875348 | − | 0.698067i | ||||
\(217\) | −6.86269 | − | 4.31212i | −0.0316253 | − | 0.0198715i | ||||
\(218\) | 9.61915 | − | 15.3088i | 0.0441246 | − | 0.0702238i | ||||
\(219\) | 32.9986 | + | 41.3789i | 0.150678 | + | 0.188945i | ||||
\(220\) | 53.2335 | − | 53.2335i | 0.241970 | − | 0.241970i | ||||
\(221\) | −0.345634 | + | 3.06759i | −0.00156396 | + | 0.0138805i | ||||
\(222\) | 30.5194 | − | 10.6792i | 0.137475 | − | 0.0481046i | ||||
\(223\) | −223.712 | + | 280.525i | −1.00319 | + | 1.25796i | −0.0372207 | + | 0.999307i | \(0.511850\pi\) |
−0.965970 | + | 0.258654i | \(0.916721\pi\) | |||||||
\(224\) | −38.4248 | − | 341.030i | −0.171539 | − | 1.52245i | ||||
\(225\) | 147.662 | + | 306.624i | 0.656276 | + | 1.36277i | ||||
\(226\) | −7.83384 | − | 34.3223i | −0.0346630 | − | 0.151869i | ||||
\(227\) | 22.9453 | − | 100.530i | 0.101080 | − | 0.442862i | −0.898908 | − | 0.438137i | \(-0.855639\pi\) |
0.999989 | − | 0.00472574i | \(-0.00150425\pi\) | |||||||
\(228\) | 308.873 | + | 148.745i | 1.35470 | + | 0.652391i | ||||
\(229\) | −143.168 | − | 50.0967i | −0.625189 | − | 0.218763i | −0.000953694 | − | 1.00000i | \(-0.500304\pi\) |
−0.624235 | + | 0.781237i | \(0.714589\pi\) | |||||||
\(230\) | 10.7492 | − | 6.75418i | 0.0467357 | − | 0.0293660i | ||||
\(231\) | − | 625.287i | − | 2.70687i | ||||||
\(232\) | −85.1615 | + | 170.332i | −0.367075 | + | 0.734189i | ||||
\(233\) | 317.385 | 1.36217 | 0.681083 | − | 0.732206i | \(-0.261509\pi\) | ||||
0.681083 | + | 0.732206i | \(0.261509\pi\) | |||||||
\(234\) | 112.336 | + | 178.781i | 0.480067 | + | 0.764022i | ||||
\(235\) | 15.4598 | − | 44.1816i | 0.0657865 | − | 0.188007i | ||||
\(236\) | −66.3538 | + | 137.785i | −0.281160 | + | 0.583835i | ||||
\(237\) | −203.737 | − | 46.5016i | −0.859649 | − | 0.196209i | ||||
\(238\) | 2.07774 | − | 0.474232i | 0.00873002 | − | 0.00199257i | ||||
\(239\) | 26.5371 | − | 12.7796i | 0.111034 | − | 0.0534711i | −0.377542 | − | 0.925992i | \(-0.623231\pi\) |
0.488576 | + | 0.872521i | \(0.337516\pi\) | |||||||
\(240\) | −67.2940 | + | 7.58222i | −0.280392 | + | 0.0315926i | ||||
\(241\) | 114.945 | + | 91.6659i | 0.476952 | + | 0.380356i | 0.832253 | − | 0.554395i | \(-0.187050\pi\) |
−0.355302 | + | 0.934752i | \(0.615622\pi\) | |||||||
\(242\) | 4.86246 | + | 13.8961i | 0.0200928 | + | 0.0574219i | ||||
\(243\) | 137.167 | + | 15.4551i | 0.564475 | + | 0.0636011i | ||||
\(244\) | 165.233 | + | 165.233i | 0.677186 | + | 0.677186i | ||||
\(245\) | −101.363 | + | 80.8340i | −0.413725 | + | 0.329935i | ||||
\(246\) | −198.381 | − | 124.651i | −0.806426 | − | 0.506711i | ||||
\(247\) | −161.869 | + | 257.613i | −0.655340 | + | 1.04297i | ||||
\(248\) | −3.12617 | − | 3.92009i | −0.0126055 | − | 0.0158068i | ||||
\(249\) | −337.742 | + | 337.742i | −1.35639 | + | 1.35639i | ||||
\(250\) | −9.58893 | + | 85.1041i | −0.0383557 | + | 0.340416i | ||||
\(251\) | 77.7163 | − | 27.1941i | 0.309627 | − | 0.108343i | −0.170993 | − | 0.985272i | \(-0.554698\pi\) |
0.480620 | + | 0.876929i | \(0.340412\pi\) | |||||||
\(252\) | −341.132 | + | 427.765i | −1.35370 | + | 1.69748i | ||||
\(253\) | −8.90937 | − | 79.0728i | −0.0352149 | − | 0.312541i | ||||
\(254\) | 21.6274 | + | 44.9097i | 0.0851471 | + | 0.176810i | ||||
\(255\) | −0.498942 | − | 2.18601i | −0.00195663 | − | 0.00857258i | ||||
\(256\) | 28.6591 | − | 125.564i | 0.111949 | − | 0.490483i | ||||
\(257\) | −137.519 | − | 66.2259i | −0.535095 | − | 0.257688i | 0.146764 | − | 0.989171i | \(-0.453114\pi\) |
−0.681859 | + | 0.731483i | \(0.738828\pi\) | |||||||
\(258\) | −93.6476 | − | 32.7687i | −0.362975 | − | 0.127010i | ||||
\(259\) | −62.9607 | + | 39.5608i | −0.243091 | + | 0.152745i | ||||
\(260\) | − | 90.7033i | − | 0.348859i | ||||||
\(261\) | 448.962 | − | 149.664i | 1.72016 | − | 0.573426i | ||||
\(262\) | −63.9342 | −0.244024 | ||||||||
\(263\) | −163.041 | − | 259.478i | −0.619928 | − | 0.986609i | −0.998144 | − | 0.0608922i | \(-0.980605\pi\) |
0.378217 | − | 0.925717i | \(-0.376537\pi\) | |||||||
\(264\) | 127.759 | − | 365.113i | 0.483934 | − | 1.38300i | ||||
\(265\) | −50.5875 | + | 105.046i | −0.190896 | + | 0.396400i | ||||
\(266\) | 204.777 | + | 46.7390i | 0.769839 | + | 0.175711i | ||||
\(267\) | 822.895 | − | 187.820i | 3.08200 | − | 0.703447i | ||||
\(268\) | 122.804 | − | 59.1394i | 0.458225 | − | 0.220669i | ||||
\(269\) | −289.980 | + | 32.6729i | −1.07799 | + | 0.121461i | −0.633060 | − | 0.774103i | \(-0.718201\pi\) |
−0.444934 | + | 0.895563i | \(0.646773\pi\) | |||||||
\(270\) | −53.7765 | − | 42.8853i | −0.199172 | − | 0.158835i | ||||
\(271\) | −51.9021 | − | 148.328i | −0.191521 | − | 0.547335i | 0.807579 | − | 0.589759i | \(-0.200777\pi\) |
−0.999100 | + | 0.0424247i | \(0.986492\pi\) | |||||||
\(272\) | −1.43764 | − | 0.161983i | −0.00528542 | − | 0.000595524i | ||||
\(273\) | −532.705 | − | 532.705i | −1.95130 | − | 1.95130i | ||||
\(274\) | −69.7241 | + | 55.6031i | −0.254468 | + | 0.202931i | ||||
\(275\) | 206.720 | + | 129.891i | 0.751710 | + | 0.472331i | ||||
\(276\) | −57.4739 | + | 91.4693i | −0.208239 | + | 0.331410i | ||||
\(277\) | −83.4157 | − | 104.600i | −0.301140 | − | 0.377617i | 0.608121 | − | 0.793844i | \(-0.291924\pi\) |
−0.909261 | + | 0.416227i | \(0.863352\pi\) | |||||||
\(278\) | 127.386 | − | 127.386i | 0.458225 | − | 0.458225i | ||||
\(279\) | −1.39511 | + | 12.3819i | −0.00500039 | + | 0.0443796i | ||||
\(280\) | −133.957 | + | 46.8735i | −0.478417 | + | 0.167405i | ||||
\(281\) | 233.501 | − | 292.801i | 0.830965 | − | 1.04200i | −0.167459 | − | 0.985879i | \(-0.553556\pi\) |
0.998424 | − | 0.0561179i | \(-0.0178723\pi\) | |||||||
\(282\) | −11.8815 | − | 105.451i | −0.0421331 | − | 0.373941i | ||||
\(283\) | 61.5039 | + | 127.714i | 0.217328 | + | 0.451287i | 0.980920 | − | 0.194413i | \(-0.0622801\pi\) |
−0.763591 | + | 0.645700i | \(0.776566\pi\) | |||||||
\(284\) | −70.4592 | − | 308.702i | −0.248096 | − | 1.08698i | ||||
\(285\) | 49.1744 | − | 215.447i | 0.172542 | − | 0.755955i | ||||
\(286\) | 136.469 | + | 65.7201i | 0.477165 | + | 0.229791i | ||||
\(287\) | 508.564 | + | 177.954i | 1.77200 | + | 0.620049i | ||||
\(288\) | −446.733 | + | 280.701i | −1.55116 | + | 0.974656i | ||||
\(289\) | 288.952i | 0.999834i | ||||||||
\(290\) | 52.6207 | + | 12.8341i | 0.181451 | + | 0.0442555i | ||||
\(291\) | −309.190 | −1.06251 | ||||||||
\(292\) | −17.6751 | − | 28.1298i | −0.0605312 | − | 0.0963348i | ||||
\(293\) | −129.389 | + | 369.772i | −0.441600 | + | 1.26202i | 0.481156 | + | 0.876635i | \(0.340217\pi\) |
−0.922756 | + | 0.385385i | \(0.874069\pi\) | |||||||
\(294\) | −127.528 | + | 264.815i | −0.433770 | + | 0.900732i | ||||
\(295\) | 96.1090 | + | 21.9362i | 0.325793 | + | 0.0743601i | ||||
\(296\) | −44.8467 | + | 10.2360i | −0.151509 | + | 0.0345809i | ||||
\(297\) | −388.437 | + | 187.062i | −1.30787 | + | 0.629837i | ||||
\(298\) | 31.4757 | − | 3.54647i | 0.105623 | − | 0.0119009i | ||||
\(299\) | −74.9554 | − | 59.7749i | −0.250687 | − | 0.199916i | ||||
\(300\) | −109.468 | − | 312.843i | −0.364895 | − | 1.04281i | ||||
\(301\) | 226.729 | + | 25.5463i | 0.753254 | + | 0.0848713i | ||||
\(302\) | −56.2535 | − | 56.2535i | −0.186270 | − | 0.186270i | ||||
\(303\) | 556.342 | − | 443.668i | 1.83611 | − | 1.46425i | ||||
\(304\) | −120.731 | − | 75.8604i | −0.397142 | − | 0.249541i | ||||
\(305\) | 80.1400 | − | 127.542i | 0.262754 | − | 0.418171i | ||||
\(306\) | −2.04279 | − | 2.56158i | −0.00667578 | − | 0.00837117i | ||||
\(307\) | −364.784 | + | 364.784i | −1.18822 | + | 1.18822i | −0.210663 | + | 0.977559i | \(0.567562\pi\) |
−0.977559 | + | 0.210663i | \(0.932438\pi\) | |||||||
\(308\) | −43.9459 | + | 390.030i | −0.142681 | + | 1.26633i | ||||
\(309\) | −466.075 | + | 163.087i | −1.50833 | + | 0.527789i | ||||
\(310\) | −0.889140 | + | 1.11495i | −0.00286819 | + | 0.00359660i | ||||
\(311\) | 1.60736 | + | 14.2657i | 0.00516836 | + | 0.0458705i | 0.996032 | − | 0.0889994i | \(-0.0283669\pi\) |
−0.990863 | + | 0.134870i | \(0.956938\pi\) | |||||||
\(312\) | −202.211 | − | 419.896i | −0.648113 | − | 1.34582i | ||||
\(313\) | 3.75343 | + | 16.4449i | 0.0119918 | + | 0.0525395i | 0.980570 | − | 0.196170i | \(-0.0628506\pi\) |
−0.968578 | + | 0.248710i | \(0.919993\pi\) | |||||||
\(314\) | 9.10123 | − | 39.8751i | 0.0289848 | − | 0.126991i | ||||
\(315\) | 317.761 | + | 153.026i | 1.00877 | + | 0.485796i | ||||
\(316\) | 123.815 | + | 43.3248i | 0.391820 | + | 0.137104i | ||||
\(317\) | 45.2757 | − | 28.4486i | 0.142825 | − | 0.0897432i | −0.458724 | − | 0.888579i | \(-0.651693\pi\) |
0.601549 | + | 0.798836i | \(0.294550\pi\) | |||||||
\(318\) | 264.325i | 0.831210i | ||||||||
\(319\) | 215.585 | − | 262.262i | 0.675816 | − | 0.822137i | ||||
\(320\) | −6.55015 | −0.0204692 | ||||||||
\(321\) | 391.920 | + | 623.737i | 1.22094 | + | 1.94311i | ||||
\(322\) | −21.8602 | + | 62.4728i | −0.0678887 | + | 0.194015i | ||||
\(323\) | 2.04840 | − | 4.25354i | 0.00634178 | − | 0.0131688i | ||||
\(324\) | 118.363 | + | 27.0156i | 0.365318 | + | 0.0833815i | ||||
\(325\) | 286.772 | − | 65.4538i | 0.882375 | − | 0.201396i | ||||
\(326\) | −78.2248 | + | 37.6711i | −0.239953 | + | 0.115555i | ||||
\(327\) | 98.5500 | − | 11.1039i | 0.301376 | − | 0.0339569i | ||||
\(328\) | 260.597 | + | 207.820i | 0.794505 | + | 0.633596i | ||||
\(329\) | 80.6013 | + | 230.345i | 0.244989 | + | 0.700138i | ||||
\(330\) | −109.327 | − | 12.3182i | −0.331294 | − | 0.0373279i | ||||
\(331\) | −397.745 | − | 397.745i | −1.20165 | − | 1.20165i | −0.973666 | − | 0.227980i | \(-0.926788\pi\) |
−0.227980 | − | 0.973666i | \(-0.573212\pi\) | |||||||
\(332\) | 234.408 | − | 186.934i | 0.706048 | − | 0.563054i | ||||
\(333\) | 96.7931 | + | 60.8191i | 0.290670 | + | 0.182640i | ||||
\(334\) | −10.5008 | + | 16.7119i | −0.0314396 | + | 0.0500358i | ||||
\(335\) | −54.7812 | − | 68.6935i | −0.163526 | − | 0.205055i | ||||
\(336\) | 249.654 | − | 249.654i | 0.743018 | − | 0.743018i | ||||
\(337\) | −42.6588 | + | 378.607i | −0.126584 | + | 1.12346i | 0.756416 | + | 0.654091i | \(0.226949\pi\) |
−0.883000 | + | 0.469373i | \(0.844480\pi\) | |||||||
\(338\) | 25.9236 | − | 9.07105i | 0.0766970 | − | 0.0268374i | ||||
\(339\) | 120.401 | − | 150.978i | 0.355166 | − | 0.445363i | ||||
\(340\) | 0.157586 | + | 1.39861i | 0.000463488 | + | 0.00411357i | ||||
\(341\) | 3.87834 | + | 8.05346i | 0.0113734 | + | 0.0236172i | ||||
\(342\) | −71.8546 | − | 314.816i | −0.210101 | − | 0.920513i | ||||
\(343\) | 34.6684 | − | 151.892i | 0.101074 | − | 0.442834i | ||||
\(344\) | 127.171 | + | 61.2422i | 0.369682 | + | 0.178030i | ||||
\(345\) | 65.7280 | + | 22.9992i | 0.190516 | + | 0.0666644i | ||||
\(346\) | −59.1666 | + | 37.1768i | −0.171002 | + | 0.107447i | ||||
\(347\) | − | 274.022i | − | 0.789689i | −0.918748 | − | 0.394845i | \(-0.870798\pi\) | ||
0.918748 | − | 0.394845i | \(-0.129202\pi\) | |||||||
\(348\) | −450.811 | + | 95.8851i | −1.29543 | + | 0.275532i | ||||
\(349\) | −156.235 | −0.447666 | −0.223833 | − | 0.974628i | \(-0.571857\pi\) | ||||
−0.223833 | + | 0.974628i | \(0.571857\pi\) | |||||||
\(350\) | −108.040 | − | 171.945i | −0.308686 | − | 0.491271i | ||||
\(351\) | −171.560 | + | 490.289i | −0.488774 | + | 1.39684i | ||||
\(352\) | −164.220 | + | 341.005i | −0.466533 | + | 0.968765i | ||||
\(353\) | 339.627 | + | 77.5177i | 0.962117 | + | 0.219597i | 0.674604 | − | 0.738180i | \(-0.264314\pi\) |
0.287513 | + | 0.957777i | \(0.407172\pi\) | |||||||
\(354\) | 217.888 | − | 49.7314i | 0.615502 | − | 0.140484i | ||||
\(355\) | −183.897 | + | 88.5603i | −0.518021 | + | 0.249466i | ||||
\(356\) | −526.491 | + | 59.3213i | −1.47891 | + | 0.166633i | ||||
\(357\) | 9.13966 | + | 7.28863i | 0.0256013 | + | 0.0204163i | ||||
\(358\) | 33.2845 | + | 95.1216i | 0.0929734 | + | 0.265703i | ||||
\(359\) | −291.435 | − | 32.8368i | −0.811796 | − | 0.0914674i | −0.303700 | − | 0.952768i | \(-0.598222\pi\) |
−0.508096 | + | 0.861300i | \(0.669651\pi\) | |||||||
\(360\) | 154.279 | + | 154.279i | 0.428552 | + | 0.428552i | ||||
\(361\) | 81.5423 | − | 65.0278i | 0.225879 | − | 0.180132i | ||||
\(362\) | 230.715 | + | 144.968i | 0.637333 | + | 0.400463i | ||||
\(363\) | −42.9645 | + | 68.3776i | −0.118359 | + | 0.188368i | ||||
\(364\) | 294.842 | + | 369.721i | 0.810007 | + | 1.01572i | ||||
\(365\) | −15.1429 | + | 15.1429i | −0.0414873 | + | 0.0414873i | ||||
\(366\) | 38.2349 | − | 339.344i | 0.104467 | − | 0.927170i | ||||
\(367\) | 94.9299 | − | 33.2174i | 0.258665 | − | 0.0905107i | −0.197832 | − | 0.980236i | \(-0.563390\pi\) |
0.456496 | + | 0.889725i | \(0.349104\pi\) | |||||||
\(368\) | 28.0137 | − | 35.1281i | 0.0761242 | − | 0.0954567i | ||||
\(369\) | −92.7432 | − | 823.118i | −0.251337 | − | 2.23067i | ||||
\(370\) | 5.67661 | + | 11.7876i | 0.0153422 | + | 0.0318584i | ||||
\(371\) | −135.263 | − | 592.625i | −0.364589 | − | 1.59737i | ||||
\(372\) | 2.70029 | − | 11.8307i | 0.00725884 | − | 0.0318030i | ||||
\(373\) | −579.925 | − | 279.277i | −1.55476 | − | 0.748732i | −0.558050 | − | 0.829807i | \(-0.688450\pi\) |
−0.996708 | + | 0.0810749i | \(0.974165\pi\) | |||||||
\(374\) | −2.21849 | − | 0.776284i | −0.00593180 | − | 0.00207563i | ||||
\(375\) | −397.767 | + | 249.934i | −1.06071 | + | 0.666490i | ||||
\(376\) | 150.970i | 0.401516i | ||||||||
\(377\) | −39.7654 | − | 407.096i | −0.105478 | − | 1.07983i | ||||
\(378\) | 358.606 | 0.948692 | ||||||||
\(379\) | −311.876 | − | 496.348i | −0.822893 | − | 1.30963i | −0.948253 | − | 0.317515i | \(-0.897152\pi\) |
0.125361 | − | 0.992111i | \(-0.459991\pi\) | |||||||
\(380\) | −45.8150 | + | 130.932i | −0.120566 | + | 0.344557i | ||||
\(381\) | −118.632 | + | 246.341i | −0.311369 | + | 0.646565i | ||||
\(382\) | −166.428 | − | 37.9861i | −0.435675 | − | 0.0994401i | ||||
\(383\) | −588.492 | + | 134.319i | −1.53653 | + | 0.350704i | −0.905260 | − | 0.424858i | \(-0.860324\pi\) |
−0.631272 | + | 0.775561i | \(0.717467\pi\) | |||||||
\(384\) | 572.902 | − | 275.895i | 1.49193 | − | 0.718477i | ||||
\(385\) | 251.418 | − | 28.3281i | 0.653035 | − | 0.0735794i | ||||
\(386\) | 8.01753 | + | 6.39376i | 0.0207708 | + | 0.0165642i | ||||
\(387\) | −115.852 | − | 331.086i | −0.299359 | − | 0.855518i | ||||
\(388\) | 192.861 | + | 21.7302i | 0.497065 | + | 0.0560057i | ||||
\(389\) | 458.331 | + | 458.331i | 1.17823 | + | 1.17823i | 0.980195 | + | 0.198033i | \(0.0634554\pi\) |
0.198033 | + | 0.980195i | \(0.436545\pi\) | |||||||
\(390\) | −103.634 | + | 82.6456i | −0.265729 | + | 0.211912i | ||||
\(391\) | 1.25964 | + | 0.791484i | 0.00322158 | + | 0.00202426i | ||||
\(392\) | 222.469 | − | 354.058i | 0.567524 | − | 0.903209i | ||||
\(393\) | −218.655 | − | 274.185i | −0.556374 | − | 0.697671i | ||||
\(394\) | 127.297 | − | 127.297i | 0.323089 | − | 0.323089i | ||||
\(395\) | 9.46748 | − | 84.0262i | 0.0239683 | − | 0.212725i | ||||
\(396\) | 569.548 | − | 199.294i | 1.43825 | − | 0.503267i | ||||
\(397\) | −105.509 | + | 132.305i | −0.265767 | + | 0.333261i | −0.896752 | − | 0.442534i | \(-0.854080\pi\) |
0.630985 | + | 0.775795i | \(0.282651\pi\) | |||||||
\(398\) | −21.8057 | − | 193.531i | −0.0547881 | − | 0.486258i | ||||
\(399\) | 499.896 | + | 1038.04i | 1.25287 | + | 2.60161i | ||||
\(400\) | 30.6751 | + | 134.397i | 0.0766878 | + | 0.335991i | ||||
\(401\) | −127.467 | + | 558.467i | −0.317872 | + | 1.39269i | 0.523406 | + | 0.852084i | \(0.324661\pi\) |
−0.841278 | + | 0.540603i | \(0.818196\pi\) | |||||||
\(402\) | −179.465 | − | 86.4260i | −0.446431 | − | 0.214990i | ||||
\(403\) | 10.1652 | + | 3.55694i | 0.0252237 | + | 0.00882615i | ||||
\(404\) | −378.206 | + | 237.643i | −0.936154 | + | 0.588225i | ||||
\(405\) | − | 78.2605i | − | 0.193236i | ||||||
\(406\) | −256.209 | + | 118.736i | −0.631057 | + | 0.292454i | ||||
\(407\) | 82.0063 | 0.201490 | ||||||||
\(408\) | 3.84755 | + | 6.12335i | 0.00943028 | + | 0.0150082i | ||||
\(409\) | 198.692 | − | 567.828i | 0.485799 | − | 1.38833i | −0.396670 | − | 0.917961i | \(-0.629834\pi\) |
0.882468 | − | 0.470372i | \(-0.155880\pi\) | |||||||
\(410\) | 41.1328 | − | 85.4132i | 0.100324 | − | 0.208325i | ||||
\(411\) | −476.914 | − | 108.852i | −1.16037 | − | 0.264848i | ||||
\(412\) | 302.182 | − | 68.9711i | 0.733451 | − | 0.167405i | ||||
\(413\) | −463.062 | + | 222.999i | −1.12121 | + | 0.539949i | ||||
\(414\) | 101.113 | − | 11.3927i | 0.244235 | − | 0.0275187i | ||||
\(415\) | −151.102 | − | 120.500i | −0.364102 | − | 0.290362i | ||||
\(416\) | 150.611 | + | 430.420i | 0.362045 | + | 1.03466i | ||||
\(417\) | 981.965 | + | 110.641i | 2.35483 | + | 0.265326i | ||||
\(418\) | −163.800 | − | 163.800i | −0.391866 | − | 0.391866i | ||||
\(419\) | −447.663 | + | 356.999i | −1.06841 | + | 0.852026i | −0.989453 | − | 0.144852i | \(-0.953729\pi\) |
−0.0789538 | + | 0.996878i | \(0.525158\pi\) | |||||||
\(420\) | −290.834 | − | 182.743i | −0.692462 | − | 0.435103i | ||||
\(421\) | −11.6235 | + | 18.4986i | −0.0276092 | + | 0.0439398i | −0.860244 | − | 0.509883i | \(-0.829689\pi\) |
0.832635 | + | 0.553823i | \(0.186832\pi\) | |||||||
\(422\) | 199.844 | + | 250.596i | 0.473564 | + | 0.593830i | ||||
\(423\) | 265.290 | − | 265.290i | 0.627163 | − | 0.627163i | ||||
\(424\) | 42.1034 | − | 373.678i | 0.0993005 | − | 0.881317i | ||||
\(425\) | −4.30821 | + | 1.50751i | −0.0101370 | + | 0.00354708i | ||||
\(426\) | −288.512 | + | 361.782i | −0.677258 | + | 0.849255i | ||||
\(427\) | 87.9284 | + | 780.387i | 0.205921 | + | 1.82760i | ||||
\(428\) | −200.628 | − | 416.608i | −0.468757 | − | 0.973384i | ||||
\(429\) | 184.881 | + | 810.018i | 0.430959 | + | 1.88815i | ||||
\(430\) | 8.93318 | − | 39.1388i | 0.0207748 | − | 0.0910206i | ||||
\(431\) | 493.089 | + | 237.459i | 1.14406 | + | 0.550949i | 0.907243 | − | 0.420606i | \(-0.138183\pi\) |
0.236814 | + | 0.971555i | \(0.423897\pi\) | |||||||
\(432\) | −229.776 | − | 80.4020i | −0.531888 | − | 0.186116i | ||||
\(433\) | 694.921 | − | 436.648i | 1.60490 | − | 1.00842i | 0.632659 | − | 0.774430i | \(-0.281963\pi\) |
0.972238 | − | 0.233993i | \(-0.0751794\pi\) | |||||||
\(434\) | − | 7.43496i | − | 0.0171312i | ||||||
\(435\) | 124.923 | + | 269.559i | 0.287180 | + | 0.619676i | ||||
\(436\) | −62.2522 | −0.142780 | ||||||||
\(437\) | 78.0066 | + | 124.147i | 0.178505 | + | 0.284089i | ||||
\(438\) | −16.0351 | + | 45.8258i | −0.0366099 | + | 0.104625i | ||||
\(439\) | 36.2784 | − | 75.3329i | 0.0826387 | − | 0.171601i | −0.855555 | − | 0.517712i | \(-0.826784\pi\) |
0.938193 | + | 0.346111i | \(0.112498\pi\) | |||||||
\(440\) | 152.595 | + | 34.8287i | 0.346806 | + | 0.0791562i | ||||
\(441\) | −1013.09 | + | 231.232i | −2.29727 | + | 0.524336i | ||||
\(442\) | −2.55136 | + | 1.22867i | −0.00577231 | + | 0.00277980i | ||||
\(443\) | 596.083 | − | 67.1625i | 1.34556 | − | 0.151608i | 0.590380 | − | 0.807125i | \(-0.298978\pi\) |
0.755180 | + | 0.655517i | \(0.227549\pi\) | |||||||
\(444\) | −87.0417 | − | 69.4134i | −0.196040 | − | 0.156336i | ||||
\(445\) | 112.800 | + | 322.365i | 0.253484 | + | 0.724415i | ||||
\(446\) | −327.074 | − | 36.8523i | −0.733349 | − | 0.0826286i | ||||
\(447\) | 122.856 | + | 122.856i | 0.274846 | + | 0.274846i | ||||
\(448\) | 26.6994 | − | 21.2921i | 0.0595970 | − | 0.0475270i | ||||
\(449\) | −143.331 | − | 90.0608i | −0.319223 | − | 0.200581i | 0.362883 | − | 0.931835i | \(-0.381793\pi\) |
−0.682105 | + | 0.731254i | \(0.738935\pi\) | |||||||
\(450\) | −166.096 | + | 264.340i | −0.369103 | + | 0.587423i | ||||
\(451\) | −370.490 | − | 464.579i | −0.821485 | − | 1.03011i | ||||
\(452\) | −85.7126 | + | 85.7126i | −0.189630 | + | 0.189630i | ||||
\(453\) | 48.8587 | − | 433.633i | 0.107856 | − | 0.957247i | ||||
\(454\) | 89.2825 | − | 31.2413i | 0.196657 | − | 0.0688134i | ||||
\(455\) | 190.059 | − | 238.327i | 0.417712 | − | 0.523795i | ||||
\(456\) | 79.8025 | + | 708.267i | 0.175005 | + | 1.55322i | ||||
\(457\) | −307.067 | − | 637.632i | −0.671919 | − | 1.39526i | −0.906101 | − | 0.423062i | \(-0.860955\pi\) |
0.234181 | − | 0.972193i | \(-0.424759\pi\) | |||||||
\(458\) | −30.9617 | − | 135.652i | −0.0676020 | − | 0.296184i | ||||
\(459\) | 1.79358 | − | 7.85817i | 0.00390757 | − | 0.0171202i | ||||
\(460\) | −39.3822 | − | 18.9655i | −0.0856135 | − | 0.0412293i | ||||
\(461\) | −189.621 | − | 66.3513i | −0.411326 | − | 0.143929i | 0.116681 | − | 0.993169i | \(-0.462775\pi\) |
−0.528006 | + | 0.849240i | \(0.677060\pi\) | |||||||
\(462\) | 485.676 | − | 305.171i | 1.05125 | − | 0.660543i | ||||
\(463\) | − | 545.754i | − | 1.17873i | −0.807865 | − | 0.589367i | \(-0.799377\pi\) | ||
0.807865 | − | 0.589367i | \(-0.200623\pi\) | |||||||
\(464\) | 190.787 | − | 18.6362i | 0.411179 | − | 0.0401642i | ||||
\(465\) | −7.82236 | −0.0168223 | ||||||||
\(466\) | 154.899 | + | 246.521i | 0.332402 | + | 0.529015i | ||||
\(467\) | −8.31232 | + | 23.7552i | −0.0177994 | + | 0.0508677i | −0.952440 | − | 0.304725i | \(-0.901435\pi\) |
0.934641 | + | 0.355593i | \(0.115721\pi\) | |||||||
\(468\) | 315.434 | − | 655.006i | 0.674005 | − | 1.39958i | ||||
\(469\) | 446.594 | + | 101.932i | 0.952225 | + | 0.217339i | ||||
\(470\) | 41.8622 | − | 9.55477i | 0.0890685 | − | 0.0203293i | ||||
\(471\) | 202.133 | − | 97.3419i | 0.429156 | − | 0.206671i | ||||
\(472\) | −315.951 | + | 35.5991i | −0.669388 | + | 0.0754219i | ||||
\(473\) | −196.734 | − | 156.890i | −0.415929 | − | 0.331692i | ||||
\(474\) | −63.3146 | − | 180.943i | −0.133575 | − | 0.381736i | ||||
\(475\) | −447.022 | − | 50.3672i | −0.941098 | − | 0.106036i | ||||
\(476\) | −5.18872 | − | 5.18872i | −0.0109007 | − | 0.0109007i | ||||
\(477\) | −730.626 | + | 582.655i | −1.53171 | + | 1.22150i | ||||
\(478\) | 22.8776 | + | 14.3750i | 0.0478612 | + | 0.0300732i | ||||
\(479\) | 125.217 | − | 199.282i | 0.261414 | − | 0.416038i | −0.690067 | − | 0.723746i | \(-0.742419\pi\) |
0.951481 | + | 0.307707i | \(0.0995618\pi\) | |||||||
\(480\) | −206.512 | − | 258.958i | −0.430234 | − | 0.539497i | ||||
\(481\) | 69.8643 | − | 69.8643i | 0.145248 | − | 0.145248i | ||||
\(482\) | −15.1003 | + | 134.019i | −0.0313283 | + | 0.278047i | ||||
\(483\) | −342.679 | + | 119.909i | −0.709481 | + | 0.248258i | ||||
\(484\) | 31.6053 | − | 39.6318i | 0.0653002 | − | 0.0818838i | ||||
\(485\) | −14.0076 | − | 124.321i | −0.0288816 | − | 0.256331i | ||||
\(486\) | 54.9401 | + | 114.084i | 0.113046 | + | 0.234741i | ||||
\(487\) | 205.721 | + | 901.323i | 0.422425 | + | 1.85077i | 0.518053 | + | 0.855348i | \(0.326657\pi\) |
−0.0956278 | + | 0.995417i | \(0.530486\pi\) | |||||||
\(488\) | −108.106 | + | 473.644i | −0.221529 | + | 0.970581i | ||||
\(489\) | −429.083 | − | 206.636i | −0.877470 | − | 0.422568i | ||||
\(490\) | −112.256 | − | 39.2800i | −0.229094 | − | 0.0801633i | ||||
\(491\) | 413.153 | − | 259.601i | 0.841452 | − | 0.528720i | −0.0409794 | − | 0.999160i | \(-0.513048\pi\) |
0.882432 | + | 0.470440i | \(0.155905\pi\) | |||||||
\(492\) | 806.703i | 1.63964i | ||||||||
\(493\) | 1.32045 | + | 6.20820i | 0.00267840 | + | 0.0125927i | ||||
\(494\) | −279.095 | −0.564969 | ||||||||
\(495\) | −206.942 | − | 329.347i | −0.418065 | − | 0.665347i | ||||
\(496\) | −1.66697 | + | 4.76393i | −0.00336083 | + | 0.00960470i | ||||
\(497\) | 461.718 | − | 958.768i | 0.929010 | − | 1.92911i | ||||
\(498\) | −427.168 | − | 97.4983i | −0.857767 | − | 0.195780i | ||||
\(499\) | 464.245 | − | 105.961i | 0.930351 | − | 0.212347i | 0.269618 | − | 0.962967i | \(-0.413103\pi\) |
0.660733 | + | 0.750621i | \(0.270245\pi\) | |||||||
\(500\) | 265.678 | − | 127.944i | 0.531355 | − | 0.255887i | ||||
\(501\) | −107.583 | + | 12.1217i | −0.214736 | + | 0.0241950i | ||||
\(502\) | 59.0518 | + | 47.0922i | 0.117633 | + | 0.0938092i | ||||
\(503\) | −16.5430 | − | 47.2773i | −0.0328887 | − | 0.0939906i | 0.926268 | − | 0.376865i | \(-0.122998\pi\) |
−0.959157 | + | 0.282874i | \(0.908712\pi\) | |||||||
\(504\) | −1130.37 | − | 127.362i | −2.24279 | − | 0.252702i | ||||
\(505\) | 203.597 | + | 203.597i | 0.403162 | + | 0.403162i | ||||
\(506\) | 57.0697 | − | 45.5116i | 0.112786 | − | 0.0899438i | ||||
\(507\) | 127.560 | + | 80.1515i | 0.251598 | + | 0.158090i | ||||
\(508\) | 91.3111 | − | 145.321i | 0.179746 | − | 0.286065i | ||||
\(509\) | 484.514 | + | 607.562i | 0.951895 | + | 1.19364i | 0.980989 | + | 0.194062i | \(0.0621662\pi\) |
−0.0290946 | + | 0.999577i | \(0.509262\pi\) | |||||||
\(510\) | 1.45442 | − | 1.45442i | 0.00285180 | − | 0.00285180i | ||||
\(511\) | 12.5009 | − | 110.948i | 0.0244636 | − | 0.217120i | ||||
\(512\) | −365.603 | + | 127.930i | −0.714068 | + | 0.249863i | ||||
\(513\) | 495.299 | − | 621.085i | 0.965495 | − | 1.21069i | ||||
\(514\) | −15.6769 | − | 139.136i | −0.0304998 | − | 0.270693i | ||||
\(515\) | −86.6899 | − | 180.013i | −0.168330 | − | 0.349540i | ||||
\(516\) | 76.0159 | + | 333.048i | 0.147318 | + | 0.645441i | ||||
\(517\) | 59.8897 | − | 262.394i | 0.115841 | − | 0.507531i | ||||
\(518\) | −61.4558 | − | 29.5956i | −0.118641 | − | 0.0571343i | ||||
\(519\) | −361.784 | − | 126.594i | −0.697080 | − | 0.243919i | ||||
\(520\) | 159.673 | − | 100.329i | 0.307063 | − | 0.192941i | ||||
\(521\) | 368.806i | 0.707881i | 0.935268 | + | 0.353940i | \(0.115158\pi\) | ||||
−0.935268 | + | 0.353940i | \(0.884842\pi\) | |||||||
\(522\) | 335.363 | + | 275.677i | 0.642459 | + | 0.528116i | ||||
\(523\) | 384.561 | 0.735299 | 0.367649 | − | 0.929964i | \(-0.380163\pi\) | ||||
0.367649 | + | 0.929964i | \(0.380163\pi\) | |||||||
\(524\) | 117.119 | + | 186.393i | 0.223509 | + | 0.355713i | ||||
\(525\) | 367.896 | − | 1051.39i | 0.700755 | − | 2.00264i | ||||
\(526\) | 121.971 | − | 253.276i | 0.231885 | − | 0.481514i | ||||
\(527\) | −0.162923 | − | 0.0371861i | −0.000309152 | − | 7.05619e-5i | ||||
\(528\) | −379.617 | + | 86.6452i | −0.718972 | + | 0.164101i | ||||
\(529\) | 434.986 | − | 209.478i | 0.822280 | − | 0.395989i | ||||
\(530\) | −106.281 | + | 11.9750i | −0.200530 | + | 0.0225943i | ||||
\(531\) | 617.756 | + | 492.644i | 1.16338 | + | 0.927766i | ||||
\(532\) | −238.861 | − | 682.626i | −0.448987 | − | 1.28313i | ||||
\(533\) | −711.427 | − | 80.1586i | −1.33476 | − | 0.150391i | ||||
\(534\) | 547.498 | + | 547.498i | 1.02528 | + | 1.02528i | ||||
\(535\) | −233.040 | + | 185.843i | −0.435589 | + | 0.347370i | ||||
\(536\) | 239.945 | + | 150.768i | 0.447659 | + | 0.281283i | ||||
\(537\) | −294.100 | + | 468.058i | −0.547673 | + | 0.871617i | ||||
\(538\) | −166.903 | − | 209.289i | −0.310228 | − | 0.389014i | ||||
\(539\) | −527.117 | + | 527.117i | −0.977954 | + | 0.977954i | ||||
\(540\) | −26.5164 | + | 235.340i | −0.0491045 | + | 0.435815i | ||||
\(541\) | −216.745 | + | 75.8424i | −0.400638 | + | 0.140189i | −0.523074 | − | 0.852287i | \(-0.675215\pi\) |
0.122436 | + | 0.992476i | \(0.460929\pi\) | |||||||
\(542\) | 89.8792 | − | 112.705i | 0.165829 | − | 0.207943i | ||||
\(543\) | 167.344 | + | 1485.22i | 0.308185 | + | 2.73521i | ||||
\(544\) | −3.07017 | − | 6.37527i | −0.00564369 | − | 0.0117193i | ||||
\(545\) | 8.92944 | + | 39.1224i | 0.0163843 | + | 0.0717843i | ||||
\(546\) | 153.780 | − | 673.753i | 0.281648 | − | 1.23398i | ||||
\(547\) | −20.9942 | − | 10.1103i | −0.0383807 | − | 0.0184832i | 0.414595 | − | 0.910006i | \(-0.363923\pi\) |
−0.452976 | + | 0.891523i | \(0.649638\pi\) | |||||||
\(548\) | 289.830 | + | 101.416i | 0.528888 | + | 0.185066i | ||||
\(549\) | 1022.27 | − | 642.335i | 1.86206 | − | 1.17001i | ||||
\(550\) | 223.958i | 0.407197i | ||||||||
\(551\) | −148.226 | + | 607.736i | −0.269012 | + | 1.10297i | ||||
\(552\) | −224.595 | −0.406875 | ||||||||
\(553\) | 234.547 | + | 373.279i | 0.424136 | + | 0.675008i | ||||
\(554\) | 40.5346 | − | 115.841i | 0.0731671 | − | 0.209099i | ||||
\(555\) | −31.1377 | + | 64.6581i | −0.0561039 | + | 0.116501i | ||||
\(556\) | −604.737 | − | 138.027i | −1.08766 | − | 0.248250i | ||||
\(557\) | −1081.10 | + | 246.754i | −1.94093 | + | 0.443005i | −0.949197 | + | 0.314682i | \(0.898102\pi\) |
−0.991733 | + | 0.128322i | \(0.959041\pi\) | |||||||
\(558\) | −10.2982 | + | 4.95937i | −0.0184556 | + | 0.00888776i | ||||
\(559\) | −301.266 | + | 33.9446i | −0.538938 | + | 0.0607238i | ||||
\(560\) | 111.693 | + | 89.0718i | 0.199451 | + | 0.159057i | ||||
\(561\) | −4.25812 | − | 12.1690i | −0.00759023 | − | 0.0216916i | ||||
\(562\) | 341.386 | + | 38.4650i | 0.607449 | + | 0.0684431i | ||||
\(563\) | 160.111 | + | 160.111i | 0.284390 | + | 0.284390i | 0.834857 | − | 0.550467i | \(-0.185550\pi\) |
−0.550467 | + | 0.834857i | \(0.685550\pi\) | |||||||
\(564\) | −285.667 | + | 227.812i | −0.506503 | + | 0.403922i | ||||
\(565\) | 66.1608 | + | 41.5716i | 0.117099 | + | 0.0735780i | ||||
\(566\) | −69.1820 | + | 110.103i | −0.122230 | + | 0.194527i | ||||
\(567\) | 254.396 | + | 319.002i | 0.448670 | + | 0.562614i | ||||
\(568\) | 465.499 | − | 465.499i | 0.819540 | − | 0.819540i | ||||
\(569\) | −56.4577 | + | 501.076i | −0.0992226 | + | 0.880625i | 0.841225 | + | 0.540686i | \(0.181835\pi\) |
−0.940447 | + | 0.339939i | \(0.889593\pi\) | |||||||
\(570\) | 191.343 | − | 66.9538i | 0.335689 | − | 0.117463i | ||||
\(571\) | −35.8730 | + | 44.9834i | −0.0628249 | + | 0.0787800i | −0.812251 | − | 0.583308i | \(-0.801758\pi\) |
0.749426 | + | 0.662088i | \(0.230329\pi\) | |||||||
\(572\) | −58.3930 | − | 518.252i | −0.102086 | − | 0.906035i | ||||
\(573\) | −406.279 | − | 843.647i | −0.709038 | − | 1.47233i | ||||
\(574\) | 109.983 | + | 481.865i | 0.191607 | + | 0.839486i | ||||
\(575\) | 31.5430 | − | 138.199i | 0.0548573 | − | 0.240346i | ||||
\(576\) | −47.3014 | − | 22.7791i | −0.0821204 | − | 0.0395471i | ||||
\(577\) | −699.675 | − | 244.827i | −1.21261 | − | 0.424310i | −0.353175 | − | 0.935557i | \(-0.614898\pi\) |
−0.859434 | + | 0.511247i | \(0.829184\pi\) | |||||||
\(578\) | −224.437 | + | 141.023i | −0.388299 | + | 0.243984i | ||||
\(579\) | 56.2502i | 0.0971507i | ||||||||
\(580\) | −58.9776 | − | 176.920i | −0.101685 | − | 0.305035i | ||||
\(581\) | 1007.62 | 1.73428 | ||||||||
\(582\) | −150.900 | − | 240.156i | −0.259278 | − | 0.412639i | ||||
\(583\) | −221.416 | + | 632.769i | −0.379787 | + | 1.08537i | ||||
\(584\) | 29.9684 | − | 62.2301i | 0.0513158 | − | 0.106558i | ||||
\(585\) | −456.885 | − | 104.281i | −0.781000 | − | 0.178258i | ||||
\(586\) | −350.359 | + | 79.9672i | −0.597883 | + | 0.136463i | ||||
\(587\) | −381.756 | + | 183.844i | −0.650351 | + | 0.313192i | −0.729814 | − | 0.683645i | \(-0.760393\pi\) |
0.0794637 | + | 0.996838i | \(0.474679\pi\) | |||||||
\(588\) | 1005.66 | − | 113.310i | 1.71030 | − | 0.192704i | ||||
\(589\) | −12.8769 | − | 10.2690i | −0.0218624 | − | 0.0174347i | ||||
\(590\) | 29.8675 | + | 85.3563i | 0.0506228 | + | 0.144672i | ||||
\(591\) | 981.276 | + | 110.563i | 1.66036 | + | 0.187078i | ||||
\(592\) | 32.7421 | + | 32.7421i | 0.0553077 | + | 0.0553077i | ||||
\(593\) | 491.712 | − | 392.127i | 0.829194 | − | 0.661260i | −0.114008 | − | 0.993480i | \(-0.536369\pi\) |
0.943202 | + | 0.332220i | \(0.107798\pi\) | |||||||
\(594\) | −334.872 | − | 210.414i | −0.563758 | − | 0.354233i | ||||
\(595\) | −2.51659 | + | 4.00512i | −0.00422956 | + | 0.00673130i | ||||
\(596\) | −67.9987 | − | 85.2676i | −0.114092 | − | 0.143067i | ||||
\(597\) | 755.391 | − | 755.391i | 1.26531 | − | 1.26531i | ||||
\(598\) | 9.84681 | − | 87.3929i | 0.0164662 | − | 0.146142i | ||||
\(599\) | 1029.67 | − | 360.297i | 1.71898 | − | 0.601498i | 0.722983 | − | 0.690866i | \(-0.242771\pi\) |
0.995999 | + | 0.0893686i | \(0.0284849\pi\) | |||||||
\(600\) | 429.639 | − | 538.750i | 0.716065 | − | 0.897917i | ||||
\(601\) | 2.18327 | + | 19.3770i | 0.00363272 | + | 0.0322413i | 0.995398 | − | 0.0958291i | \(-0.0305502\pi\) |
−0.991765 | + | 0.128070i | \(0.959122\pi\) | |||||||
\(602\) | 90.8127 | + | 188.575i | 0.150852 | + | 0.313247i | ||||
\(603\) | −156.706 | − | 686.574i | −0.259877 | − | 1.13860i | ||||
\(604\) | −60.9524 | + | 267.050i | −0.100915 | + | 0.442136i | ||||
\(605\) | −29.4401 | − | 14.1776i | −0.0486613 | − | 0.0234340i | ||||
\(606\) | 616.130 | + | 215.593i | 1.01672 | + | 0.355765i | ||||
\(607\) | −678.738 | + | 426.479i | −1.11818 | + | 0.702602i | −0.958649 | − | 0.284591i | \(-0.908142\pi\) |
−0.159535 | + | 0.987192i | \(0.551000\pi\) | |||||||
\(608\) | − | 697.394i | − | 1.14703i | ||||||
\(609\) | −1385.44 | − | 692.686i | −2.27495 | − | 1.13742i | ||||
\(610\) | 138.177 | 0.226520 | ||||||||
\(611\) | −172.521 | − | 274.566i | −0.282358 | − | 0.449371i | ||||
\(612\) | −3.72590 | + | 10.6480i | −0.00608807 | + | 0.0173987i | ||||
\(613\) | −376.980 | + | 782.807i | −0.614975 | + | 1.27701i | 0.328167 | + | 0.944620i | \(0.393569\pi\) |
−0.943142 | + | 0.332390i | \(0.892145\pi\) | |||||||
\(614\) | −461.370 | − | 105.305i | −0.751417 | − | 0.171506i | ||||
\(615\) | 506.973 | − | 115.713i | 0.824346 | − | 0.188152i | ||||
\(616\) | −735.215 | + | 354.061i | −1.19353 | + | 0.574774i | ||||
\(617\) | 80.6908 | − | 9.09167i | 0.130779 | − | 0.0147353i | −0.0463322 | − | 0.998926i | \(-0.514753\pi\) |
0.177111 | + | 0.984191i | \(0.443325\pi\) | |||||||
\(618\) | −354.141 | − | 282.418i | −0.573044 | − | 0.456988i | ||||
\(619\) | −330.849 | − | 945.513i | −0.534490 | − | 1.52748i | −0.821874 | − | 0.569669i | \(-0.807071\pi\) |
0.287384 | − | 0.957815i | \(-0.407214\pi\) | |||||||
\(620\) | 4.87929 | + | 0.549765i | 0.00786983 | + | 0.000886717i | ||||
\(621\) | 177.006 | + | 177.006i | 0.285033 | + | 0.285033i | ||||
\(622\) | −10.2961 | + | 8.21085i | −0.0165532 | + | 0.0132007i | ||||
\(623\) | −1507.68 | − | 947.337i | −2.42003 | − | 1.52061i | ||||
\(624\) | −249.594 | + | 397.227i | −0.399991 | + | 0.636581i | ||||
\(625\) | 206.552 | + | 259.007i | 0.330482 | + | 0.414412i | ||||
\(626\) | −10.9413 | + | 10.9413i | −0.0174781 | + | 0.0174781i | ||||
\(627\) | 142.268 | − | 1262.66i | 0.226902 | − | 2.01381i | ||||
\(628\) | −132.924 | + | 46.5121i | −0.211662 | + | 0.0740639i | ||||
\(629\) | −0.955904 | + | 1.19867i | −0.00151972 | + | 0.00190567i | ||||
\(630\) | 36.2241 | + | 321.498i | 0.0574986 | + | 0.510314i | ||||
\(631\) | 335.980 | + | 697.669i | 0.532456 | + | 1.10566i | 0.977653 | + | 0.210224i | \(0.0674193\pi\) |
−0.445197 | + | 0.895433i | \(0.646866\pi\) | |||||||
\(632\) | 60.6866 | + | 265.885i | 0.0960231 | + | 0.420705i | ||||
\(633\) | −391.228 | + | 1714.08i | −0.618053 | + | 2.70787i | ||||
\(634\) | 44.1935 | + | 21.2825i | 0.0697059 | + | 0.0335686i | ||||
\(635\) | −104.425 | − | 36.5398i | −0.164448 | − | 0.0575430i | ||||
\(636\) | 770.612 | − | 484.207i | 1.21165 | − | 0.761332i | ||||
\(637\) | 898.143i | 1.40996i | ||||||||
\(638\) | 308.922 | + | 39.4541i | 0.484203 | + | 0.0618403i | ||||
\(639\) | −1635.98 | −2.56022 | ||||||||
\(640\) | 136.888 | + | 217.856i | 0.213888 | + | 0.340400i | ||||
\(641\) | 26.7029 | − | 76.3125i | 0.0416582 | − | 0.119052i | −0.921175 | − | 0.389148i | \(-0.872770\pi\) |
0.962834 | + | 0.270095i | \(0.0870553\pi\) | |||||||
\(642\) | −293.197 | + | 608.829i | −0.456693 | + | 0.948332i | ||||
\(643\) | −682.001 | − | 155.662i | −1.06066 | − | 0.242088i | −0.343609 | − | 0.939113i | \(-0.611649\pi\) |
−0.717047 | + | 0.697025i | \(0.754507\pi\) | |||||||
\(644\) | 222.178 | − | 50.7106i | 0.344997 | − | 0.0787432i | ||||
\(645\) | 198.400 | − | 95.5446i | 0.307597 | − | 0.148131i | ||||
\(646\) | 4.30355 | − | 0.484894i | 0.00666184 | − | 0.000750610i | ||||
\(647\) | 854.959 | + | 681.807i | 1.32142 | + | 1.05380i | 0.994053 | + | 0.108901i | \(0.0347332\pi\) |
0.327368 | + | 0.944897i | \(0.393838\pi\) | |||||||
\(648\) | 83.3665 | + | 238.248i | 0.128652 | + | 0.367666i | ||||
\(649\) | 563.261 | + | 63.4643i | 0.867890 | + | 0.0977878i | ||||
\(650\) | 190.798 | + | 190.798i | 0.293536 | + | 0.293536i | ||||
\(651\) | 31.8852 | − | 25.4276i | 0.0489788 | − | 0.0390593i | ||||
\(652\) | 253.123 | + | 159.048i | 0.388226 | + | 0.243938i | ||||
\(653\) | 272.229 | − | 433.250i | 0.416889 | − | 0.663476i | −0.570588 | − | 0.821236i | \(-0.693285\pi\) |
0.987477 | + | 0.157761i | \(0.0504275\pi\) | |||||||
\(654\) | 56.7220 | + | 71.1271i | 0.0867309 | + | 0.108757i | ||||
\(655\) | 100.340 | − | 100.340i | 0.153190 | − | 0.153190i | ||||
\(656\) | 37.5666 | − | 333.413i | 0.0572661 | − | 0.508251i | ||||
\(657\) | −162.014 | + | 56.6913i | −0.246597 | + | 0.0862881i | ||||
\(658\) | −139.578 | + | 175.025i | −0.212124 | + | 0.265996i | ||||
\(659\) | −105.681 | − | 937.943i | −0.160365 | − | 1.42328i | −0.773746 | − | 0.633495i | \(-0.781620\pi\) |
0.613381 | − | 0.789787i | \(-0.289809\pi\) | |||||||
\(660\) | 164.360 | + | 341.297i | 0.249030 | + | 0.517117i | ||||
\(661\) | −116.346 | − | 509.745i | −0.176015 | − | 0.771173i | −0.983445 | − | 0.181209i | \(-0.941999\pi\) |
0.807429 | − | 0.589964i | \(-0.200858\pi\) | |||||||
\(662\) | 114.820 | − | 503.058i | 0.173444 | − | 0.759906i | ||||
\(663\) | −13.9949 | − | 6.73958i | −0.0211084 | − | 0.0101653i | ||||
\(664\) | 588.361 | + | 205.876i | 0.886086 | + | 0.310055i | ||||
\(665\) | −394.735 | + | 248.028i | −0.593586 | + | 0.372975i | ||||
\(666\) | 104.864i | 0.157454i | ||||||||
\(667\) | −185.071 | − | 67.8556i | −0.277467 | − | 0.101733i | ||||
\(668\) | 67.9580 | 0.101734 | ||||||||
\(669\) | −960.550 | − | 1528.71i | −1.43580 | − | 2.28506i | ||||
\(670\) | 26.6201 | − | 76.0758i | 0.0397314 | − | 0.113546i | ||||
\(671\) | 375.788 | − | 780.331i | 0.560041 | − | 1.16294i | ||||
\(672\) | 1683.55 | + | 384.260i | 2.50529 | + | 0.571816i | ||||
\(673\) | 734.243 | − | 167.586i | 1.09100 | − | 0.249014i | 0.361072 | − | 0.932538i | \(-0.382411\pi\) |
0.729928 | + | 0.683524i | \(0.239554\pi\) | |||||||
\(674\) | −314.894 | + | 151.645i | −0.467201 | + | 0.224992i | ||||
\(675\) | −763.197 | + | 85.9917i | −1.13066 | + | 0.127395i | ||||
\(676\) | −73.9342 | − | 58.9606i | −0.109370 | − | 0.0872198i | ||||
\(677\) | 84.8727 | + | 242.552i | 0.125366 | + | 0.358275i | 0.989411 | − | 0.145139i | \(-0.0463628\pi\) |
−0.864045 | + | 0.503414i | \(0.832077\pi\) | |||||||
\(678\) | 176.030 | + | 19.8339i | 0.259632 | + | 0.0292535i | ||||
\(679\) | 461.217 | + | 461.217i | 0.679260 | + | 0.679260i | ||||
\(680\) | −2.28780 | + | 1.82446i | −0.00336441 | + | 0.00268302i | ||||
\(681\) | 439.326 | + | 276.047i | 0.645119 | + | 0.405355i | ||||
\(682\) | −4.36251 | + | 6.94289i | −0.00639664 | + | 0.0101802i | ||||
\(683\) | 765.006 | + | 959.287i | 1.12007 | + | 1.40452i | 0.903678 | + | 0.428213i | \(0.140857\pi\) |
0.216390 | + | 0.976307i | \(0.430572\pi\) | |||||||
\(684\) | −786.184 | + | 786.184i | −1.14939 | + | 1.14939i | ||||
\(685\) | 22.1618 | − | 196.691i | 0.0323530 | − | 0.287141i | ||||
\(686\) | 134.899 | − | 47.2030i | 0.196645 | − | 0.0688091i | ||||
\(687\) | 475.862 | − | 596.712i | 0.692666 | − | 0.868576i | ||||
\(688\) | −15.9082 | − | 141.189i | −0.0231224 | − | 0.205217i | ||||
\(689\) | 350.448 | + | 727.712i | 0.508633 | + | 1.05619i | ||||
\(690\) | 14.2144 | + | 62.2774i | 0.0206006 | + | 0.0902571i | ||||
\(691\) | −36.0165 | + | 157.799i | −0.0521223 | + | 0.228363i | −0.994280 | − | 0.106808i | \(-0.965937\pi\) |
0.942157 | + | 0.335171i | \(0.108794\pi\) | |||||||
\(692\) | 216.770 | + | 104.391i | 0.313252 | + | 0.150854i | ||||
\(693\) | 1914.11 | + | 669.777i | 2.76207 | + | 0.966489i | ||||
\(694\) | 212.840 | − | 133.736i | 0.306686 | − | 0.192704i | ||||
\(695\) | 399.846i | 0.575318i | ||||||||
\(696\) | −667.449 | − | 687.542i | −0.958978 | − | 0.987848i | ||||
\(697\) | 11.1092 | 0.0159387 | ||||||||
\(698\) | −76.2506 | − | 121.352i | −0.109241 | − | 0.173857i | ||||
\(699\) | −527.461 | + | 1507.40i | −0.754594 | + | 2.15650i | ||||
\(700\) | −303.372 | + | 629.959i | −0.433389 | + | 0.899942i | ||||
\(701\) | −956.674 | − | 218.355i | −1.36473 | − | 0.311490i | −0.523433 | − | 0.852067i | \(-0.675349\pi\) |
−0.841295 | + | 0.540577i | \(0.818206\pi\) | |||||||
\(702\) | −464.550 | + | 106.031i | −0.661752 | + | 0.151041i | ||||
\(703\) | −136.139 | + | 65.5613i | −0.193655 | + | 0.0932593i | ||||
\(704\) | −37.4257 | + | 4.21686i | −0.0531615 | + | 0.00598986i | ||||
\(705\) | 184.145 | + | 146.851i | 0.261198 | + | 0.208299i | ||||
\(706\) | 105.545 | + | 301.630i | 0.149497 | + | 0.427238i | ||||
\(707\) | −1491.71 | − | 168.075i | −2.10991 | − | 0.237730i | ||||
\(708\) | −544.127 | − | 544.127i | −0.768541 | − | 0.768541i | ||||
\(709\) | −46.3533 | + | 36.9655i | −0.0653784 | + | 0.0521375i | −0.655634 | − | 0.755079i | \(-0.727598\pi\) |
0.590255 | + | 0.807217i | \(0.299027\pi\) | |||||||
\(710\) | −158.538 | − | 99.6161i | −0.223293 | − | 0.140304i | ||||
\(711\) | 360.582 | − | 573.864i | 0.507148 | − | 0.807122i | ||||
\(712\) | −686.794 | − | 861.212i | −0.964598 | − | 1.20957i | ||||
\(713\) | 3.66985 | − | 3.66985i | 0.00514705 | − | 0.00514705i | ||||
\(714\) | −1.20067 | + | 10.6562i | −0.00168161 | + | 0.0149247i | ||||
\(715\) | −317.320 | + | 111.035i | −0.443804 | + | 0.155294i | ||||
\(716\) | 216.344 | − | 271.287i | 0.302157 | − | 0.378893i | ||||
\(717\) | 16.5938 | + | 147.274i | 0.0231434 | + | 0.205404i | ||||
\(718\) | −116.729 | − | 242.391i | −0.162576 | − | 0.337592i | ||||
\(719\) | −13.6399 | − | 59.7604i | −0.0189707 | − | 0.0831160i | 0.964556 | − | 0.263877i | \(-0.0850012\pi\) |
−0.983527 | + | 0.180761i | \(0.942144\pi\) | |||||||
\(720\) | 48.8716 | − | 214.121i | 0.0678772 | − | 0.297390i | ||||
\(721\) | 938.518 | + | 451.966i | 1.30169 | + | 0.626860i | ||||
\(722\) | 90.3055 | + | 31.5992i | 0.125077 | + | 0.0437663i | ||||
\(723\) | −626.388 | + | 393.586i | −0.866373 | + | 0.544378i | ||||
\(724\) | − | 938.186i | − | 1.29584i | ||||||
\(725\) | 516.801 | − | 314.137i | 0.712829 | − | 0.433292i | ||||
\(726\) | −74.0795 | −0.102038 | ||||||||
\(727\) | 495.191 | + | 788.091i | 0.681142 | + | 1.08403i | 0.991079 | + | 0.133275i | \(0.0425493\pi\) |
−0.309937 | + | 0.950757i | \(0.600308\pi\) | |||||||
\(728\) | −324.719 | + | 927.995i | −0.446043 | + | 1.27472i | ||||
\(729\) | −451.460 | + | 937.466i | −0.619287 | + | 1.28596i | ||||
\(730\) | −19.1523 | − | 4.37139i | −0.0262361 | − | 0.00598821i | ||||
\(731\) | 4.58646 | − | 1.04683i | 0.00627422 | − | 0.00143205i | ||||
\(732\) | −1059.36 | + | 510.163i | −1.44722 | + | 0.696944i | ||||
\(733\) | 905.749 | − | 102.053i | 1.23567 | − | 0.139227i | 0.530144 | − | 0.847907i | \(-0.322138\pi\) |
0.705530 | + | 0.708680i | \(0.250709\pi\) | |||||||
\(734\) | 72.1313 | + | 57.5228i | 0.0982716 | + | 0.0783690i | ||||
\(735\) | −215.461 | − | 615.752i | −0.293144 | − | 0.837758i | ||||
\(736\) | 218.375 | + | 24.6049i | 0.296705 | + | 0.0334306i | ||||
\(737\) | −357.227 | − | 357.227i | −0.484705 | − | 0.484705i | ||||
\(738\) | 594.074 | − | 473.758i | 0.804979 | − | 0.641949i | ||||
\(739\) | 725.917 | + | 456.124i | 0.982297 | + | 0.617218i | 0.924529 | − | 0.381112i | \(-0.124459\pi\) |
0.0577679 | + | 0.998330i | \(0.481602\pi\) | |||||||
\(740\) | 23.9667 | − | 38.1429i | 0.0323875 | − | 0.0515444i | ||||
\(741\) | −954.505 | − | 1196.91i | −1.28813 | − | 1.61527i | ||||
\(742\) | 394.292 | − | 394.292i | 0.531391 | − | 0.531391i | ||||
\(743\) | −28.5464 | + | 253.356i | −0.0384204 | + | 0.340991i | 0.959766 | + | 0.280799i | \(0.0905996\pi\) |
−0.998187 | + | 0.0601911i | \(0.980829\pi\) | |||||||
\(744\) | 23.8135 | − | 8.33272i | 0.0320075 | − | 0.0111999i | ||||
\(745\) | −43.8328 | + | 54.9646i | −0.0588360 | + | 0.0737780i | ||||
\(746\) | −66.1101 | − | 586.744i | −0.0886195 | − | 0.786520i | ||||
\(747\) | −672.115 | − | 1395.66i | −0.899753 | − | 1.86836i | ||||
\(748\) | 1.80080 | + | 7.88983i | 0.00240749 | + | 0.0105479i | ||||
\(749\) | 345.801 | − | 1515.05i | 0.461683 | − | 2.02277i | ||||
\(750\) | −388.260 | − | 186.976i | −0.517680 | − | 0.249301i | ||||
\(751\) | 322.155 | + | 112.727i | 0.428968 | + | 0.150103i | 0.536123 | − | 0.844140i | \(-0.319888\pi\) |
−0.107155 | + | 0.994242i | \(0.534174\pi\) | |||||||
\(752\) | 128.676 | − | 80.8525i | 0.171112 | − | 0.107517i | ||||
\(753\) | 414.302i | 0.550202i | ||||||||
\(754\) | 296.795 | − | 229.570i | 0.393627 | − | 0.304469i | ||||
\(755\) | 176.571 | 0.233869 | ||||||||
\(756\) | −656.917 | − | 1045.48i | −0.868938 | − | 1.38291i | ||||
\(757\) | −182.836 | + | 522.514i | −0.241527 | + | 0.690244i | 0.757762 | + | 0.652531i | \(0.226293\pi\) |
−0.999289 | + | 0.0377125i | \(0.987993\pi\) | |||||||
\(758\) | 233.316 | − | 484.485i | 0.307804 | − | 0.639162i | ||||
\(759\) | 390.357 | + | 89.0965i | 0.514305 | + | 0.117387i | ||||
\(760\) | −281.168 | + | 64.1748i | −0.369958 | + | 0.0844405i | ||||
\(761\) | −449.183 | + | 216.315i | −0.590253 | + | 0.284251i | −0.705072 | − | 0.709135i | \(-0.749085\pi\) |
0.114819 | + | 0.993386i | \(0.463371\pi\) | |||||||
\(762\) | −249.238 | + | 28.0824i | −0.327084 | + | 0.0368535i | ||||
\(763\) | −163.570 | − | 130.443i | −0.214378 | − | 0.170961i | ||||
\(764\) | 194.129 | + | 554.789i | 0.254096 | + | 0.726164i | ||||
\(765\) | 7.22619 | + | 0.814196i | 0.00944600 | + | 0.00106431i | ||||
\(766\) | −391.542 | − | 391.542i | −0.511152 | − | 0.511152i | ||||
\(767\) | 533.931 | − | 425.796i | 0.696129 | − | 0.555144i | ||||
\(768\) | 548.727 | + | 344.788i | 0.714488 | + | 0.448943i | ||||
\(769\) | −44.7471 | + | 71.2146i | −0.0581887 | + | 0.0926068i | −0.874552 | − | 0.484933i | \(-0.838844\pi\) |
0.816363 | + | 0.577539i | \(0.195987\pi\) | |||||||
\(770\) | 144.708 | + | 181.458i | 0.187932 | + | 0.235659i | ||||
\(771\) | 543.078 | − | 543.078i | 0.704382 | − | 0.704382i | ||||
\(772\) | 3.95333 | − | 35.0868i | 0.00512089 | − | 0.0454492i | ||||
\(773\) | −657.345 | + | 230.015i | −0.850381 | + | 0.297561i | −0.720061 | − | 0.693911i | \(-0.755886\pi\) |
−0.130320 | + | 0.991472i | \(0.541601\pi\) | |||||||
\(774\) | 200.621 | − | 251.571i | 0.259201 | − | 0.325027i | ||||
\(775\) | 1.78286 | + | 15.8233i | 0.00230047 | + | 0.0204172i | ||||
\(776\) | 175.075 | + | 363.547i | 0.225612 | + | 0.468488i | ||||
\(777\) | −83.2571 | − | 364.773i | −0.107152 | − | 0.469464i | ||||
\(778\) | −132.309 | + | 579.686i | −0.170064 | + | 0.745097i | ||||
\(779\) | 986.469 | + | 475.059i | 1.26633 | + | 0.609831i | ||||
\(780\) | 430.789 | + | 150.739i | 0.552293 | + | 0.193256i | ||||
\(781\) | −993.723 | + | 624.398i | −1.27237 | + | 0.799485i | ||||
\(782\) | 1.36468i | 0.00174511i | ||||||||
\(783\) | −15.8358 | + | 1067.88i | −0.0202245 | + | 1.36383i | ||||
\(784\) | −420.917 | −0.536884 | ||||||||
\(785\) | 48.2972 | + | 76.8645i | 0.0615251 | + | 0.0979166i | ||||
\(786\) | 106.252 | − | 303.651i | 0.135181 | − | 0.386324i | ||||
\(787\) | 380.344 | − | 789.793i | 0.483284 | − | 1.00355i | −0.506668 | − | 0.862141i | \(-0.669123\pi\) |
0.989951 | − | 0.141408i | \(-0.0451629\pi\) | |||||||
\(788\) | −604.312 | − | 137.930i | −0.766894 | − | 0.175038i | ||||
\(789\) | 1503.33 | − | 343.125i | 1.90536 | − | 0.434887i | ||||
\(790\) | 69.8860 | − | 33.6553i | 0.0884632 | − | 0.0426016i | ||||
\(791\) | −404.815 | + | 45.6117i | −0.511777 | + | 0.0576634i | ||||
\(792\) | 980.826 | + | 782.183i | 1.23842 | + | 0.987605i | ||||
\(793\) | −344.646 | − | 984.941i | −0.434610 | − | 1.24204i | ||||
\(794\) | −154.258 | − | 17.3807i | −0.194280 | − | 0.0218901i | ||||
\(795\) | −414.837 | − | 414.837i | −0.521808 | − | 0.521808i | ||||
\(796\) | −524.274 | + | 418.094i | −0.658635 | + | 0.525244i | ||||
\(797\) | −248.165 | − | 155.932i | −0.311373 | − | 0.195649i | 0.367275 | − | 0.930113i | \(-0.380291\pi\) |
−0.678648 | + | 0.734464i | \(0.737434\pi\) | |||||||
\(798\) | −562.302 | + | 894.899i | −0.704639 | + | 1.12143i | ||||
\(799\) | 3.13724 | + | 3.93398i | 0.00392646 | + | 0.00492363i | ||||
\(800\) | −476.762 | + | 476.762i | −0.595952 | + | 0.595952i | ||||
\(801\) | −306.494 | + | 2720.21i | −0.382639 | + | 3.39602i | ||||
\(802\) | −495.986 | + | 173.553i | −0.618437 | + | 0.216400i | ||||
\(803\) | −76.7732 | + | 96.2706i | −0.0956080 | + | 0.119889i | ||||
\(804\) | 76.7904 | + | 681.533i | 0.0955104 | + | 0.847678i | ||||
\(805\) | −63.7383 | − | 132.354i | −0.0791780 | − | 0.164415i | ||||
\(806\) | 2.19833 | + | 9.63150i | 0.00272745 | + | 0.0119498i | ||||
\(807\) | 326.740 | − | 1431.54i | 0.404882 | − | 1.77390i | ||||
\(808\) | −836.687 | − | 402.927i | −1.03550 | − | 0.498673i | ||||
\(809\) | −651.558 | − | 227.990i | −0.805387 | − | 0.281817i | −0.103981 | − | 0.994579i | \(-0.533158\pi\) |
−0.701406 | + | 0.712762i | \(0.747444\pi\) | |||||||
\(810\) | 60.7870 | − | 38.1950i | 0.0750457 | − | 0.0471543i | ||||
\(811\) | 334.956i | 0.413016i | 0.978445 | + | 0.206508i | \(0.0662100\pi\) | ||||
−0.978445 | + | 0.206508i | \(0.933790\pi\) | |||||||
\(812\) | 815.504 | + | 529.442i | 1.00432 | + | 0.652022i | ||||
\(813\) | 790.728 | 0.972605 | ||||||||
\(814\) | 40.0231 | + | 63.6965i | 0.0491685 | + | 0.0782512i | ||||
\(815\) | 63.6458 | − | 181.889i | 0.0780930 | − | 0.223177i | ||||
\(816\) | 3.15853 | − | 6.55875i | 0.00387074 | − | 0.00803768i | ||||
\(817\) | 452.029 | + | 103.173i | 0.553279 | + | 0.126282i | ||||
\(818\) | 538.018 | − | 122.799i | 0.657724 | − | 0.150121i | ||||
\(819\) | 2201.31 | − | 1060.10i | 2.68781 | − | 1.29438i | ||||
\(820\) | −324.363 | + | 36.5469i | −0.395565 | + | 0.0445694i | ||||
\(821\) | −537.270 | − | 428.458i | −0.654409 | − | 0.521874i | 0.239056 | − | 0.971006i | \(-0.423162\pi\) |
−0.893465 | + | 0.449132i | \(0.851733\pi\) | |||||||
\(822\) | −148.209 | − | 423.556i | −0.180303 | − | 0.515276i | ||||
\(823\) | 202.923 | + | 22.8639i | 0.246565 | + | 0.0277812i | 0.234382 | − | 0.972145i | \(-0.424693\pi\) |
0.0121831 | + | 0.999926i | \(0.496122\pi\) | |||||||
\(824\) | 455.667 | + | 455.667i | 0.552994 | + | 0.552994i | ||||
\(825\) | −960.455 | + | 765.938i | −1.16419 | + | 0.928409i | ||||
\(826\) | −399.206 | − | 250.838i | −0.483300 | − | 0.303678i | ||||
\(827\) | −245.883 | + | 391.321i | −0.297319 | + | 0.473181i | −0.961658 | − | 0.274250i | \(-0.911570\pi\) |
0.664339 | + | 0.747431i | \(0.268713\pi\) | |||||||
\(828\) | −218.440 | − | 273.915i | −0.263817 | − | 0.330815i | ||||
\(829\) | −21.6446 | + | 21.6446i | −0.0261092 | + | 0.0261092i | −0.720041 | − | 0.693932i | \(-0.755877\pi\) |
0.693932 | + | 0.720041i | \(0.255877\pi\) | |||||||
\(830\) | 19.8502 | − | 176.175i | 0.0239159 | − | 0.212259i | ||||
\(831\) | 635.418 | − | 222.343i | 0.764643 | − | 0.267560i | ||||
\(832\) | −28.2918 | + | 35.4769i | −0.0340046 | + | 0.0426404i | ||||
\(833\) | −1.56042 | − | 13.8491i | −0.00187325 | − | 0.0166255i | ||||
\(834\) | 393.310 | + | 816.716i | 0.471594 | + | 0.979276i | ||||
\(835\) | −9.74789 | − | 42.7083i | −0.0116741 | − | 0.0511476i | ||||
\(836\) | −177.482 | + | 777.601i | −0.212300 | + | 0.930145i | ||||
\(837\) | −25.3348 | − | 12.2006i | −0.0302686 | − | 0.0145766i | ||||
\(838\) | −495.772 | − | 173.478i | −0.591613 | − | 0.207014i | ||||
\(839\) | −36.4943 | + | 22.9309i | −0.0434974 | + | 0.0273312i | −0.553605 | − | 0.832779i | \(-0.686748\pi\) |
0.510108 | + | 0.860110i | \(0.329605\pi\) | |||||||
\(840\) | − | 714.118i | − | 0.850140i | ||||||
\(841\) | −342.268 | − | 768.201i | −0.406978 | − | 0.913438i | ||||
\(842\) | −20.0412 | −0.0238019 | ||||||||
\(843\) | 1002.58 | + | 1595.60i | 1.18930 | + | 1.89277i | ||||
\(844\) | 364.501 | − | 1041.68i | 0.431873 | − | 1.23422i | ||||
\(845\) | −26.4487 | + | 54.9213i | −0.0313002 | + | 0.0649956i | ||||
\(846\) | 335.532 | + | 76.5830i | 0.396610 | + | 0.0905237i | ||||
\(847\) | 166.088 | − | 37.9086i | 0.196090 | − | 0.0447563i | ||||
\(848\) | −341.045 | + | 164.239i | −0.402175 | + | 0.193677i | ||||
\(849\) | −708.783 | + | 79.8606i | −0.834844 | + | 0.0940644i | ||||
\(850\) | −3.27354 | − | 2.61056i | −0.00385122 | − | 0.00307125i | ||||
\(851\) | −15.7260 | − | 44.9424i | −0.0184795 | − | 0.0528113i | ||||
\(852\) | 1583.25 | + | 178.390i | 1.85828 | + | 0.209378i | ||||
\(853\) | 461.282 | + | 461.282i | 0.540776 | + | 0.540776i | 0.923756 | − | 0.382981i | \(-0.125102\pi\) |
−0.382981 | + | 0.923756i | \(0.625102\pi\) | |||||||
\(854\) | −563.233 | + | 449.163i | −0.659524 | + | 0.525953i | ||||
\(855\) | 606.848 | + | 381.308i | 0.709764 | + | 0.445974i | ||||
\(856\) | 511.473 | − | 814.005i | 0.597515 | − | 0.950940i | ||||
\(857\) | 840.141 | + | 1053.50i | 0.980328 | + | 1.22929i | 0.973352 | + | 0.229317i | \(0.0736492\pi\) |
0.00697618 | + | 0.999976i | \(0.497779\pi\) | |||||||
\(858\) | −538.931 | + | 538.931i | −0.628124 | + | 0.628124i | ||||
\(859\) | 186.858 | − | 1658.41i | 0.217530 | − | 1.93063i | −0.127096 | − | 0.991890i | \(-0.540566\pi\) |
0.344626 | − | 0.938740i | \(-0.388006\pi\) | |||||||
\(860\) | −130.470 | + | 45.6533i | −0.151709 | + | 0.0530852i | ||||
\(861\) | −1690.36 | + | 2119.65i | −1.96325 | + | 2.46184i | ||||
\(862\) | 56.2110 | + | 498.886i | 0.0652100 | + | 0.578755i | ||||
\(863\) | −74.4614 | − | 154.621i | −0.0862821 | − | 0.179167i | 0.853363 | − | 0.521317i | \(-0.174559\pi\) |
−0.939645 | + | 0.342150i | \(0.888845\pi\) | |||||||
\(864\) | −264.946 | − | 1160.80i | −0.306651 | − | 1.34352i | ||||
\(865\) | 34.5112 | − | 151.203i | 0.0398973 | − | 0.174802i | ||||
\(866\) | 678.311 | + | 326.657i | 0.783269 | + | 0.377202i | ||||
\(867\) | −1372.36 | − | 480.209i | −1.58288 | − | 0.553874i | ||||
\(868\) | −21.6759 | + | 13.6198i | −0.0249722 | + | 0.0156911i | ||||
\(869\) | − | 486.197i | − | 0.559490i | ||||||
\(870\) | −148.405 | + | 228.589i | −0.170580 | + | 0.262746i | ||||
\(871\) | −608.671 | −0.698819 | ||||||||
\(872\) | −68.8587 | − | 109.588i | −0.0789665 | − | 0.125674i | ||||
\(873\) | 331.189 | − | 946.485i | 0.379369 | − | 1.08417i | ||||
\(874\) | −58.3570 | + | 121.180i | −0.0667700 | + | 0.138649i | ||||
\(875\) | 966.172 | + | 220.522i | 1.10420 | + | 0.252026i | ||||
\(876\) | 162.974 | − | 37.1979i | 0.186044 | − | 0.0424633i | ||||
\(877\) | −482.080 | + | 232.158i | −0.549693 | + | 0.264718i | −0.688049 | − | 0.725665i | \(-0.741532\pi\) |
0.138356 | + | 0.990383i | \(0.455818\pi\) | |||||||
\(878\) | 76.2186 | − | 8.58778i | 0.0868094 | − | 0.00978107i | ||||
\(879\) | −1541.17 | − | 1229.04i | −1.75333 | − | 1.39823i | ||||
\(880\) | −52.0370 | − | 148.713i | −0.0591329 | − | 0.168992i | ||||
\(881\) | −559.545 | − | 63.0456i | −0.635125 | − | 0.0715614i | −0.211469 | − | 0.977385i | \(-0.567825\pi\) |
−0.423656 | + | 0.905823i | \(0.639253\pi\) | |||||||
\(882\) | −674.044 | − | 674.044i | −0.764222 | − | 0.764222i | ||||
\(883\) | 1277.65 | − | 1018.89i | 1.44694 | − | 1.15389i | 0.487098 | − | 0.873347i | \(-0.338055\pi\) |
0.959840 | − | 0.280547i | \(-0.0905160\pi\) | |||||||
\(884\) | 8.25582 | + | 5.18747i | 0.00933916 | + | 0.00586818i | ||||
\(885\) | −263.908 | + | 420.007i | −0.298201 | + | 0.474584i | ||||
\(886\) | 343.085 | + | 430.215i | 0.387229 | + | 0.485570i | ||||
\(887\) | 131.492 | − | 131.492i | 0.148244 | − | 0.148244i | −0.629089 | − | 0.777333i | \(-0.716572\pi\) |
0.777333 | + | 0.629089i | \(0.216572\pi\) | |||||||
\(888\) | 25.9156 | − | 230.007i | 0.0291842 | − | 0.259017i | ||||
\(889\) | 544.429 | − | 190.504i | 0.612406 | − | 0.214290i | ||||
\(890\) | −195.337 | + | 244.945i | −0.219480 | + | 0.275219i | ||||
\(891\) | −50.3826 | − | 447.158i | −0.0565461 | − | 0.501861i | ||||
\(892\) | 491.715 | + | 1021.06i | 0.551251 | + | 1.14468i | ||||
\(893\) | 110.352 | + | 483.482i | 0.123574 | + | 0.541413i | ||||
\(894\) | −35.4658 | + | 155.386i | −0.0396709 | + | 0.173809i | ||||
\(895\) | −201.523 | − | 97.0484i | −0.225166 | − | 0.108434i | ||||
\(896\) | −1266.15 | − | 443.044i | −1.41311 | − | 0.494469i | ||||
\(897\) | 408.465 | − | 256.655i | 0.455368 | − | 0.286126i | ||||
\(898\) | − | 155.283i | − | 0.172921i | ||||||
\(899\) | 22.1404 | + | 0.328322i | 0.0246278 | + | 0.000365208i | ||||
\(900\) | 1074.92 | 1.19436 | ||||||||
\(901\) | −6.66811 | − | 10.6122i | −0.00740078 | − | 0.0117783i | ||||
\(902\) | 180.034 | − | 514.507i | 0.199594 | − | 0.570407i | ||||
\(903\) | −498.131 | + | 1034.38i | −0.551640 | + | 1.14549i | ||||
\(904\) | −245.696 | − | 56.0786i | −0.271788 | − | 0.0620339i | ||||
\(905\) | −589.604 | + | 134.573i | −0.651496 | + | 0.148700i | ||||
\(906\) | 360.660 | − | 173.684i | 0.398079 | − | 0.191705i | ||||
\(907\) | −231.412 | + | 26.0738i | −0.255140 | + | 0.0287473i | −0.238608 | − | 0.971116i | \(-0.576691\pi\) |
−0.0165319 | + | 0.999863i | \(0.505262\pi\) | |||||||
\(908\) | −254.634 | − | 203.064i | −0.280434 | − | 0.223639i | ||||
\(909\) | 762.218 | + | 2178.29i | 0.838524 | + | 2.39636i | ||||
\(910\) | 277.873 | + | 31.3087i | 0.305355 | + | 0.0344052i | ||||
\(911\) | −231.694 | − | 231.694i | −0.254330 | − | 0.254330i | 0.568413 | − | 0.822743i | \(-0.307557\pi\) |
−0.822743 | + | 0.568413i | \(0.807557\pi\) | |||||||
\(912\) | 560.936 | − | 447.332i | 0.615062 | − | 0.490496i | ||||
\(913\) | −940.930 | − | 591.226i | −1.03059 | − | 0.647564i | ||||
\(914\) | 345.401 | − | 549.703i | 0.377901 | − | 0.601425i | ||||
\(915\) | 472.567 | + | 592.581i | 0.516467 | + | 0.647629i | ||||
\(916\) | −338.762 | + | 338.762i | −0.369828 | + | 0.369828i | ||||
\(917\) | −82.8334 | + | 735.167i | −0.0903309 | + | 0.801709i | ||||
\(918\) | 6.97900 | − | 2.44206i | 0.00760239 | − | 0.00266019i | ||||
\(919\) | −117.240 | + | 147.015i | −0.127574 | + | 0.159973i | −0.841516 | − | 0.540232i | \(-0.818336\pi\) |
0.713942 | + | 0.700205i | \(0.246908\pi\) | |||||||
\(920\) | −10.1751 | − | 90.3062i | −0.0110599 | − | 0.0981590i | ||||
\(921\) | −1126.28 | − | 2338.75i | −1.22289 | − | 2.53936i | ||||
\(922\) | −41.0077 | − | 179.666i | −0.0444769 | − | 0.194866i | ||||
\(923\) | −314.642 | + | 1378.54i | −0.340891 | + | 1.49354i | ||||
\(924\) | −1779.39 | − | 856.908i | −1.92574 | − | 0.927389i | ||||
\(925\) | 137.889 | + | 48.2496i | 0.149070 | + | 0.0521617i | ||||
\(926\) | 423.902 | − | 266.355i | 0.457777 | − | 0.287640i | ||||
\(927\) | − | 1601.43i | − | 1.72754i | ||||||
\(928\) | 573.642 | + | 741.622i | 0.618149 | + | 0.799162i | ||||
\(929\) | −76.1717 | −0.0819932 | −0.0409966 | − | 0.999159i | \(-0.513053\pi\) | ||||
−0.0409966 | + | 0.999159i | \(0.513053\pi\) | |||||||
\(930\) | −3.81770 | − | 6.07583i | −0.00410505 | − | 0.00653315i | ||||
\(931\) | 453.660 | − | 1296.49i | 0.487282 | − | 1.39257i | ||||
\(932\) | 434.952 | − | 903.187i | 0.466686 | − | 0.969084i | ||||
\(933\) | −70.4253 | − | 16.0741i | −0.0754826 | − | 0.0172284i | ||||
\(934\) | −22.5081 | + | 5.13733i | −0.0240986 | + | 0.00550036i | ||||
\(935\) | 4.70006 | − | 2.26343i | 0.00502681 | − | 0.00242078i | ||||
\(936\) | 1501.97 | − | 169.232i | 1.60467 | − | 0.180803i | ||||
\(937\) | −919.598 | − | 733.355i | −0.981428 | − | 0.782662i | −0.00532804 | − | 0.999986i | \(-0.501696\pi\) |
−0.976100 | + | 0.217323i | \(0.930267\pi\) | |||||||
\(938\) | 138.786 | + | 396.629i | 0.147960 | + | 0.422845i | ||||
\(939\) | −84.3415 | − | 9.50300i | −0.0898205 | − | 0.0101203i | ||||
\(940\) | −104.542 | − | 104.542i | −0.111215 | − | 0.111215i | ||||
\(941\) | 895.245 | − | 713.934i | 0.951377 | − | 0.758697i | −0.0191189 | − | 0.999817i | \(-0.506086\pi\) |
0.970495 | + | 0.241120i | \(0.0775147\pi\) | |||||||
\(942\) | 174.259 | + | 109.494i | 0.184988 | + | 0.116236i | ||||
\(943\) | −183.559 | + | 292.132i | −0.194654 | + | 0.309790i | ||||
\(944\) | 199.551 | + | 250.228i | 0.211388 | + | 0.265073i | ||||
\(945\) | −562.803 | + | 562.803i | −0.595559 | + | 0.595559i | ||||
\(946\) | 25.8448 | − | 229.379i | 0.0273201 | − | 0.242473i | ||||
\(947\) | 420.871 | − | 147.269i | 0.444426 | − | 0.155511i | −0.0987829 | − | 0.995109i | \(-0.531495\pi\) |
0.543209 | + | 0.839598i | \(0.317209\pi\) | |||||||
\(948\) | −411.536 | + | 516.050i | −0.434110 | + | 0.544356i | ||||
\(949\) | 16.6105 | + | 147.423i | 0.0175032 | + | 0.155345i | ||||
\(950\) | −179.047 | − | 371.795i | −0.188471 | − | 0.391363i | ||||
\(951\) | 59.8711 | + | 262.312i | 0.0629559 | + | 0.275828i | ||||
\(952\) | 3.39479 | − | 14.8735i | 0.00356595 | − | 0.0156235i | ||||
\(953\) | 456.945 | + | 220.053i | 0.479481 | + | 0.230906i | 0.657982 | − | 0.753034i | \(-0.271410\pi\) |
−0.178501 | + | 0.983940i | \(0.557125\pi\) | |||||||
\(954\) | −809.145 | − | 283.132i | −0.848160 | − | 0.296784i | ||||
\(955\) | 320.812 | − | 201.579i | 0.335929 | − | 0.211078i | ||||
\(956\) | − | 93.0304i | − | 0.0973122i | ||||||
\(957\) | 887.313 | + | 1459.76i | 0.927181 | + | 1.52535i | ||||
\(958\) | 215.900 | 0.225365 | ||||||||
\(959\) | 549.035 | + | 873.784i | 0.572508 | + | 0.911141i | ||||
\(960\) | 10.8857 | − | 31.1095i | 0.0113392 | − | 0.0324057i | ||||
\(961\) | 416.709 | − | 865.306i | 0.433621 | − | 0.900422i | ||||
\(962\) | 88.3627 | + | 20.1682i | 0.0918531 | + | 0.0209649i | ||||
\(963\) | −2329.18 | + | 531.619i | −2.41867 | + | 0.552045i | ||||
\(964\) | 418.379 | − | 201.481i | 0.434003 | − | 0.209005i | ||||
\(965\) | −22.6174 | + | 2.54837i | −0.0234377 | + | 0.00264080i | ||||
\(966\) | −260.381 | − | 207.647i | −0.269545 | − | 0.214955i | ||||
\(967\) | 323.141 | + | 923.483i | 0.334168 | + | 0.954998i | 0.981277 | + | 0.192600i | \(0.0616920\pi\) |
−0.647109 | + | 0.762397i | \(0.724022\pi\) | |||||||
\(968\) | 104.727 | + | 11.7999i | 0.108189 | + | 0.0121899i | ||||
\(969\) | 16.7977 | + | 16.7977i | 0.0173350 | + | 0.0173350i | ||||
\(970\) | 89.7267 | − | 71.5547i | 0.0925018 | − | 0.0737677i | ||||
\(971\) | 445.089 | + | 279.668i | 0.458382 | + | 0.288021i | 0.741362 | − | 0.671105i | \(-0.234180\pi\) |
−0.282980 | + | 0.959126i | \(0.591323\pi\) | |||||||
\(972\) | 231.958 | − | 369.159i | 0.238640 | − | 0.379794i | ||||
\(973\) | −1299.75 | − | 1629.84i | −1.33582 | − | 1.67506i | ||||
\(974\) | −599.679 | + | 599.679i | −0.615687 | + | 0.615687i | ||||
\(975\) | −165.717 | + | 1470.78i | −0.169966 | + | 1.50849i | ||||
\(976\) | 461.596 | − | 161.519i | 0.472947 | − | 0.165491i | ||||
\(977\) | −394.310 | + | 494.449i | −0.403593 | + | 0.506089i | −0.941546 | − | 0.336886i | \(-0.890626\pi\) |
0.537953 | + | 0.842975i | \(0.319198\pi\) | |||||||
\(978\) | −48.9145 | − | 434.128i | −0.0500148 | − | 0.443894i | ||||
\(979\) | 852.040 | + | 1769.28i | 0.870317 | + | 1.80723i | ||||
\(980\) | 91.1207 | + | 399.226i | 0.0929803 | + | 0.407373i | ||||
\(981\) | −71.5710 | + | 313.573i | −0.0729571 | + | 0.319646i | ||||
\(982\) | 403.278 | + | 194.209i | 0.410670 | + | 0.197768i | ||||
\(983\) | −1062.58 | − | 371.814i | −1.08096 | − | 0.378245i | −0.269709 | − | 0.962942i | \(-0.586928\pi\) |
−0.811252 | + | 0.584697i | \(0.801213\pi\) | |||||||
\(984\) | −1420.11 | + | 892.315i | −1.44320 | + | 0.906824i | ||||
\(985\) | 399.565i | 0.405650i | ||||||||
\(986\) | −4.17763 | + | 4.05554i | −0.00423694 | + | 0.00411312i | ||||
\(987\) | −1227.96 | −1.24413 | ||||||||
\(988\) | 511.264 | + | 813.672i | 0.517474 | + | 0.823555i | ||||
\(989\) | −48.2546 | + | 137.904i | −0.0487913 | + | 0.139438i | ||||
\(990\) | 154.814 | − | 321.475i | 0.156378 | − | 0.324722i | ||||
\(991\) | 590.647 | + | 134.811i | 0.596011 | + | 0.136036i | 0.509876 | − | 0.860248i | \(-0.329691\pi\) |
0.0861349 | + | 0.996283i | \(0.472548\pi\) | |||||||
\(992\) | −24.0669 | + | 5.49312i | −0.0242610 | + | 0.00553742i | ||||
\(993\) | 2550.07 | − | 1228.05i | 2.56805 | − | 1.23671i | ||||
\(994\) | 970.041 | − | 109.297i | 0.975896 | − | 0.109957i | ||||
\(995\) | 337.954 | + | 269.509i | 0.339652 | + | 0.270863i | ||||
\(996\) | 498.268 | + | 1423.97i | 0.500269 | + | 1.42969i | ||||
\(997\) | −1562.89 | − | 176.095i | −1.56759 | − | 0.176625i | −0.714969 | − | 0.699157i | \(-0.753559\pi\) |
−0.852620 | + | 0.522532i | \(0.824988\pi\) | |||||||
\(998\) | 308.877 | + | 308.877i | 0.309496 | + | 0.309496i | ||||
\(999\) | −201.695 | + | 160.847i | −0.201897 | + | 0.161008i |
(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 | 29.3.f.a.19.3 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.19.2 | 48 | |||
29.26 | odd | 28 | inner | 29.3.f.a.26.3 | yes | 48 | |
87.26 | even | 28 | 261.3.s.a.55.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.19.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.26.3 | yes | 48 | 29.26 | odd | 28 | inner | |
261.3.s.a.19.2 | 48 | 3.2 | odd | 2 | |||
261.3.s.a.55.2 | 48 | 87.26 | even | 28 |