Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 6 x^{19} + 36 x^{18} - 172 x^{17} + 691 x^{16} - 2342 x^{15} + 7870 x^{14} - 23240 x^{13} + \cdots + 123904 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Root | \(2.64328 - 1.69874i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.121 |
Dual form | 690.2.m.f.211.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415415 | + | 0.909632i | −0.293743 | + | 0.643207i | ||||
\(3\) | 0.959493 | + | 0.281733i | 0.553964 | + | 0.162658i | ||||
\(4\) | −0.654861 | − | 0.755750i | −0.327430 | − | 0.377875i | ||||
\(5\) | −0.841254 | + | 0.540641i | −0.376220 | + | 0.241782i | ||||
\(6\) | −0.654861 | + | 0.755750i | −0.267346 | + | 0.308533i | ||||
\(7\) | 0.0123285 | − | 0.0857467i | 0.00465974 | − | 0.0324092i | −0.987359 | − | 0.158500i | \(-0.949334\pi\) |
0.992019 | + | 0.126091i | \(0.0402432\pi\) | |||||||
\(8\) | 0.959493 | − | 0.281733i | 0.339232 | − | 0.0996075i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | −0.142315 | − | 0.989821i | −0.0450039 | − | 0.313009i | ||||
\(11\) | −0.0149014 | − | 0.0326296i | −0.00449295 | − | 0.00983819i | 0.907372 | − | 0.420328i | \(-0.138085\pi\) |
−0.911865 | + | 0.410490i | \(0.865358\pi\) | |||||||
\(12\) | −0.415415 | − | 0.909632i | −0.119920 | − | 0.262588i | ||||
\(13\) | 0.472833 | + | 3.28862i | 0.131140 | + | 0.912100i | 0.944072 | + | 0.329741i | \(0.106961\pi\) |
−0.812931 | + | 0.582359i | \(0.802130\pi\) | |||||||
\(14\) | 0.0728765 | + | 0.0468349i | 0.0194771 | + | 0.0125172i | ||||
\(15\) | −0.959493 | + | 0.281733i | −0.247740 | + | 0.0727430i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 0.115248 | − | 0.133003i | 0.0279516 | − | 0.0322579i | −0.741602 | − | 0.670841i | \(-0.765933\pi\) |
0.769553 | + | 0.638583i | \(0.220479\pi\) | |||||||
\(18\) | −0.841254 | + | 0.540641i | −0.198285 | + | 0.127430i | ||||
\(19\) | 4.96186 | + | 5.72629i | 1.13833 | + | 1.31370i | 0.942935 | + | 0.332977i | \(0.108053\pi\) |
0.195394 | + | 0.980725i | \(0.437401\pi\) | |||||||
\(20\) | 0.959493 | + | 0.281733i | 0.214549 | + | 0.0629973i | ||||
\(21\) | 0.0359868 | − | 0.0788000i | 0.00785296 | − | 0.0171956i | ||||
\(22\) | 0.0358712 | 0.00764777 | ||||||||
\(23\) | −3.25873 | + | 3.51862i | −0.679491 | + | 0.733684i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 0.415415 | − | 0.909632i | 0.0830830 | − | 0.181926i | ||||
\(26\) | −3.18786 | − | 0.936040i | −0.625191 | − | 0.183573i | ||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | −0.0728765 | + | 0.0468349i | −0.0137724 | + | 0.00885096i | ||||
\(29\) | −3.67108 | + | 4.23665i | −0.681702 | + | 0.786726i | −0.986159 | − | 0.165800i | \(-0.946979\pi\) |
0.304458 | + | 0.952526i | \(0.401525\pi\) | |||||||
\(30\) | 0.142315 | − | 0.989821i | 0.0259830 | − | 0.180716i | ||||
\(31\) | 0.778319 | − | 0.228535i | 0.139790 | − | 0.0410461i | −0.211089 | − | 0.977467i | \(-0.567701\pi\) |
0.350879 | + | 0.936421i | \(0.385883\pi\) | |||||||
\(32\) | −0.841254 | − | 0.540641i | −0.148714 | − | 0.0955727i | ||||
\(33\) | −0.00510500 | − | 0.0355061i | −0.000888667 | − | 0.00618082i | ||||
\(34\) | 0.0731080 | + | 0.160084i | 0.0125379 | + | 0.0274542i | ||||
\(35\) | 0.0359868 | + | 0.0788000i | 0.00608288 | + | 0.0133196i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | 4.18076 | + | 2.68681i | 0.687313 | + | 0.441709i | 0.837129 | − | 0.547005i | \(-0.184232\pi\) |
−0.149817 | + | 0.988714i | \(0.547868\pi\) | |||||||
\(38\) | −7.27005 | + | 2.13468i | −1.17936 | + | 0.346291i | ||||
\(39\) | −0.472833 | + | 3.28862i | −0.0757138 | + | 0.526601i | ||||
\(40\) | −0.654861 | + | 0.755750i | −0.103543 | + | 0.119494i | ||||
\(41\) | 2.07374 | − | 1.33271i | 0.323863 | − | 0.208134i | −0.368599 | − | 0.929589i | \(-0.620162\pi\) |
0.692462 | + | 0.721454i | \(0.256526\pi\) | |||||||
\(42\) | 0.0567296 | + | 0.0654694i | 0.00875357 | + | 0.0101022i | ||||
\(43\) | −2.62056 | − | 0.769467i | −0.399632 | − | 0.117343i | 0.0757395 | − | 0.997128i | \(-0.475868\pi\) |
−0.475372 | + | 0.879785i | \(0.657686\pi\) | |||||||
\(44\) | −0.0149014 | + | 0.0326296i | −0.00224648 | + | 0.00491910i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −1.84693 | − | 4.42593i | −0.272315 | − | 0.652568i | ||||
\(47\) | −7.00973 | −1.02247 | −0.511237 | − | 0.859440i | \(-0.670813\pi\) | ||||
−0.511237 | + | 0.859440i | \(0.670813\pi\) | |||||||
\(48\) | −0.415415 | + | 0.909632i | −0.0599600 | + | 0.131294i | ||||
\(49\) | 6.70925 | + | 1.97001i | 0.958464 | + | 0.281431i | ||||
\(50\) | 0.654861 | + | 0.755750i | 0.0926113 | + | 0.106879i | ||||
\(51\) | 0.148050 | − | 0.0951463i | 0.0207312 | − | 0.0133231i | ||||
\(52\) | 2.17574 | − | 2.51093i | 0.301720 | − | 0.348204i | ||||
\(53\) | −0.706993 | + | 4.91724i | −0.0971130 | + | 0.675435i | 0.881870 | + | 0.471493i | \(0.156285\pi\) |
−0.978983 | + | 0.203943i | \(0.934624\pi\) | |||||||
\(54\) | −0.959493 | + | 0.281733i | −0.130570 | + | 0.0383389i | ||||
\(55\) | 0.0301768 | + | 0.0193934i | 0.00406904 | + | 0.00261501i | ||||
\(56\) | −0.0123285 | − | 0.0857467i | −0.00164747 | − | 0.0114584i | ||||
\(57\) | 3.14759 | + | 6.89226i | 0.416908 | + | 0.912902i | ||||
\(58\) | −2.32877 | − | 5.09929i | −0.305782 | − | 0.669570i | ||||
\(59\) | 0.652267 | + | 4.53662i | 0.0849179 | + | 0.590617i | 0.987202 | + | 0.159475i | \(0.0509802\pi\) |
−0.902284 | + | 0.431142i | \(0.858111\pi\) | |||||||
\(60\) | 0.841254 | + | 0.540641i | 0.108605 | + | 0.0697964i | ||||
\(61\) | 0.338503 | − | 0.0993936i | 0.0433409 | − | 0.0127260i | −0.259990 | − | 0.965611i | \(-0.583719\pi\) |
0.303331 | + | 0.952885i | \(0.401901\pi\) | |||||||
\(62\) | −0.115443 | + | 0.802920i | −0.0146612 | + | 0.101971i | ||||
\(63\) | 0.0567296 | − | 0.0654694i | 0.00714726 | − | 0.00824838i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | −2.17574 | − | 2.51093i | −0.269867 | − | 0.311443i | ||||
\(66\) | 0.0344182 | + | 0.0101061i | 0.00423658 | + | 0.00124397i | ||||
\(67\) | 2.11154 | − | 4.62363i | 0.257966 | − | 0.564866i | −0.735692 | − | 0.677317i | \(-0.763143\pi\) |
0.993657 | + | 0.112451i | \(0.0358700\pi\) | |||||||
\(68\) | −0.175988 | −0.0213417 | ||||||||
\(69\) | −4.11803 | + | 2.45800i | −0.495753 | + | 0.295909i | ||||
\(70\) | −0.0866285 | −0.0103541 | ||||||||
\(71\) | 4.92817 | − | 10.7912i | 0.584867 | − | 1.28068i | −0.353628 | − | 0.935386i | \(-0.615052\pi\) |
0.938495 | − | 0.345293i | \(-0.112221\pi\) | |||||||
\(72\) | 0.959493 | + | 0.281733i | 0.113077 | + | 0.0332025i | ||||
\(73\) | −5.10207 | − | 5.88810i | −0.597152 | − | 0.689150i | 0.374050 | − | 0.927409i | \(-0.377969\pi\) |
−0.971202 | + | 0.238258i | \(0.923423\pi\) | |||||||
\(74\) | −4.18076 | + | 2.68681i | −0.486003 | + | 0.312335i | ||||
\(75\) | 0.654861 | − | 0.755750i | 0.0756168 | − | 0.0872664i | ||||
\(76\) | 1.07832 | − | 7.49985i | 0.123691 | − | 0.860292i | ||||
\(77\) | −0.00298159 | 0.000875475i | −0.000339784 | 9.97696e-5i | ||||||
\(78\) | −2.79502 | − | 1.79625i | −0.316473 | − | 0.203385i | ||||
\(79\) | −1.07167 | − | 7.45363i | −0.120572 | − | 0.838598i | −0.956910 | − | 0.290384i | \(-0.906217\pi\) |
0.836338 | − | 0.548214i | \(-0.184692\pi\) | |||||||
\(80\) | −0.415415 | − | 0.909632i | −0.0464448 | − | 0.101700i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | 0.350814 | + | 2.43997i | 0.0387409 | + | 0.269449i | ||||
\(83\) | 6.46184 | + | 4.15277i | 0.709279 | + | 0.455826i | 0.844893 | − | 0.534936i | \(-0.179664\pi\) |
−0.135614 | + | 0.990762i | \(0.543301\pi\) | |||||||
\(84\) | −0.0831194 | + | 0.0244061i | −0.00906907 | + | 0.00266292i | ||||
\(85\) | −0.0250457 | + | 0.174197i | −0.00271659 | + | 0.0188943i | ||||
\(86\) | 1.78855 | − | 2.06410i | 0.192865 | − | 0.222578i | ||||
\(87\) | −4.71597 | + | 3.03077i | −0.505605 | + | 0.324933i | ||||
\(88\) | −0.0234906 | − | 0.0271096i | −0.00250411 | − | 0.00288990i | ||||
\(89\) | 1.10436 | + | 0.324268i | 0.117061 | + | 0.0343723i | 0.339739 | − | 0.940520i | \(-0.389661\pi\) |
−0.222677 | + | 0.974892i | \(0.571480\pi\) | |||||||
\(90\) | 0.415415 | − | 0.909632i | 0.0437886 | − | 0.0958836i | ||||
\(91\) | 0.287818 | 0.0301715 | ||||||||
\(92\) | 4.79321 | + | 0.158572i | 0.499727 | + | 0.0165323i | ||||
\(93\) | 0.811177 | 0.0841151 | ||||||||
\(94\) | 2.91195 | − | 6.37628i | 0.300345 | − | 0.657663i | ||||
\(95\) | −7.27005 | − | 2.13468i | −0.745892 | − | 0.219014i | ||||
\(96\) | −0.654861 | − | 0.755750i | −0.0668364 | − | 0.0771334i | ||||
\(97\) | −2.62704 | + | 1.68830i | −0.266736 | + | 0.171421i | −0.667171 | − | 0.744904i | \(-0.732495\pi\) |
0.400436 | + | 0.916325i | \(0.368859\pi\) | |||||||
\(98\) | −4.57911 | + | 5.28458i | −0.462560 | + | 0.533823i | ||||
\(99\) | 0.00510500 | − | 0.0355061i | 0.000513072 | − | 0.00356850i | ||||
\(100\) | −0.959493 | + | 0.281733i | −0.0959493 | + | 0.0281733i | ||||
\(101\) | −9.22397 | − | 5.92789i | −0.917820 | − | 0.589847i | −0.00579553 | − | 0.999983i | \(-0.501845\pi\) |
−0.912024 | + | 0.410136i | \(0.865481\pi\) | |||||||
\(102\) | 0.0250457 | + | 0.174197i | 0.00247989 | + | 0.0172480i | ||||
\(103\) | 5.62705 | + | 12.3215i | 0.554450 | + | 1.21408i | 0.954672 | + | 0.297658i | \(0.0962056\pi\) |
−0.400222 | + | 0.916418i | \(0.631067\pi\) | |||||||
\(104\) | 1.38019 | + | 3.02220i | 0.135339 | + | 0.296351i | ||||
\(105\) | 0.0123285 | + | 0.0857467i | 0.00120314 | + | 0.00836803i | ||||
\(106\) | −4.17919 | − | 2.68580i | −0.405919 | − | 0.260868i | ||||
\(107\) | −6.25406 | + | 1.83636i | −0.604602 | + | 0.177527i | −0.569685 | − | 0.821863i | \(-0.692935\pi\) |
−0.0349171 | + | 0.999390i | \(0.511117\pi\) | |||||||
\(108\) | 0.142315 | − | 0.989821i | 0.0136943 | − | 0.0952456i | ||||
\(109\) | 4.29273 | − | 4.95407i | 0.411169 | − | 0.474514i | −0.511958 | − | 0.859011i | \(-0.671080\pi\) |
0.923126 | + | 0.384497i | \(0.125625\pi\) | |||||||
\(110\) | −0.0301768 | + | 0.0193934i | −0.00287724 | + | 0.00184909i | ||||
\(111\) | 3.25445 | + | 3.75583i | 0.308898 | + | 0.356488i | ||||
\(112\) | 0.0831194 | + | 0.0244061i | 0.00785405 | + | 0.00230616i | ||||
\(113\) | −0.599677 | + | 1.31311i | −0.0564128 | + | 0.123527i | −0.935739 | − | 0.352693i | \(-0.885266\pi\) |
0.879326 | + | 0.476220i | \(0.157993\pi\) | |||||||
\(114\) | −7.57697 | −0.709648 | ||||||||
\(115\) | 0.839103 | − | 4.72185i | 0.0782468 | − | 0.440315i | ||||
\(116\) | 5.60589 | 0.520494 | ||||||||
\(117\) | −1.38019 | + | 3.02220i | −0.127599 | + | 0.279402i | ||||
\(118\) | −4.39761 | − | 1.29126i | −0.404833 | − | 0.118870i | ||||
\(119\) | −0.00998373 | − | 0.0115218i | −0.000915207 | − | 0.00105620i | ||||
\(120\) | −0.841254 | + | 0.540641i | −0.0767956 | + | 0.0493535i | ||||
\(121\) | 7.20263 | − | 8.31227i | 0.654784 | − | 0.755661i | ||||
\(122\) | −0.0502078 | + | 0.349203i | −0.00454560 | + | 0.0316154i | ||||
\(123\) | 2.36520 | − | 0.694487i | 0.213263 | − | 0.0626198i | ||||
\(124\) | −0.682405 | − | 0.438555i | −0.0612818 | − | 0.0393834i | ||||
\(125\) | 0.142315 | + | 0.989821i | 0.0127290 | + | 0.0885323i | ||||
\(126\) | 0.0359868 | + | 0.0788000i | 0.00320596 | + | 0.00702007i | ||||
\(127\) | 4.92683 | + | 10.7883i | 0.437185 | + | 0.957302i | 0.992106 | + | 0.125399i | \(0.0400212\pi\) |
−0.554921 | + | 0.831903i | \(0.687252\pi\) | |||||||
\(128\) | 0.142315 | + | 0.989821i | 0.0125790 | + | 0.0874887i | ||||
\(129\) | −2.29763 | − | 1.47660i | −0.202295 | − | 0.130007i | ||||
\(130\) | 3.18786 | − | 0.936040i | 0.279594 | − | 0.0820961i | ||||
\(131\) | 2.46138 | − | 17.1193i | 0.215052 | − | 1.49572i | −0.540899 | − | 0.841088i | \(-0.681916\pi\) |
0.755950 | − | 0.654629i | \(-0.227175\pi\) | |||||||
\(132\) | −0.0234906 | + | 0.0271096i | −0.00204460 | + | 0.00235959i | ||||
\(133\) | 0.552183 | − | 0.354867i | 0.0478804 | − | 0.0307708i | ||||
\(134\) | 3.32863 | + | 3.84145i | 0.287550 | + | 0.331851i | ||||
\(135\) | −0.959493 | − | 0.281733i | −0.0825800 | − | 0.0242477i | ||||
\(136\) | 0.0731080 | − | 0.160084i | 0.00626896 | − | 0.0137271i | ||||
\(137\) | −7.24055 | −0.618602 | −0.309301 | − | 0.950964i | \(-0.600095\pi\) | ||||
−0.309301 | + | 0.950964i | \(0.600095\pi\) | |||||||
\(138\) | −0.525186 | − | 4.76699i | −0.0447068 | − | 0.405793i | ||||
\(139\) | 6.17673 | 0.523904 | 0.261952 | − | 0.965081i | \(-0.415634\pi\) | ||||
0.261952 | + | 0.965081i | \(0.415634\pi\) | |||||||
\(140\) | 0.0359868 | − | 0.0788000i | 0.00304144 | − | 0.00665982i | ||||
\(141\) | −6.72579 | − | 1.97487i | −0.566414 | − | 0.166314i | ||||
\(142\) | 7.76878 | + | 8.96565i | 0.651942 | + | 0.752381i | ||||
\(143\) | 0.100261 | − | 0.0644336i | 0.00838421 | − | 0.00538820i | ||||
\(144\) | −0.654861 | + | 0.755750i | −0.0545717 | + | 0.0629791i | ||||
\(145\) | 0.797801 | − | 5.54883i | 0.0662538 | − | 0.460805i | ||||
\(146\) | 7.47548 | − | 2.19500i | 0.618675 | − | 0.181659i | ||||
\(147\) | 5.88246 | + | 3.78043i | 0.485177 | + | 0.311804i | ||||
\(148\) | −0.707259 | − | 4.91909i | −0.0581363 | − | 0.404347i | ||||
\(149\) | 5.66207 | + | 12.3982i | 0.463855 | + | 1.01570i | 0.986592 | + | 0.163207i | \(0.0521837\pi\) |
−0.522737 | + | 0.852494i | \(0.675089\pi\) | |||||||
\(150\) | 0.415415 | + | 0.909632i | 0.0339185 | + | 0.0742711i | ||||
\(151\) | −2.39215 | − | 16.6378i | −0.194670 | − | 1.35396i | −0.819446 | − | 0.573157i | \(-0.805719\pi\) |
0.624775 | − | 0.780805i | \(-0.285191\pi\) | |||||||
\(152\) | 6.37415 | + | 4.09642i | 0.517012 | + | 0.332264i | ||||
\(153\) | 0.168859 | − | 0.0495815i | 0.0136515 | − | 0.00400843i | ||||
\(154\) | 0.000442239 | − | 0.00307584i | 3.56366e−5 | − | 0.000247858i | ||||
\(155\) | −0.531208 | + | 0.613047i | −0.0426676 | + | 0.0492411i | ||||
\(156\) | 2.79502 | − | 1.79625i | 0.223780 | − | 0.143815i | ||||
\(157\) | −5.83029 | − | 6.72851i | −0.465307 | − | 0.536993i | 0.473793 | − | 0.880636i | \(-0.342884\pi\) |
−0.939100 | + | 0.343643i | \(0.888339\pi\) | |||||||
\(158\) | 7.22524 | + | 2.12152i | 0.574810 | + | 0.168779i | ||||
\(159\) | −2.06370 | + | 4.51888i | −0.163662 | + | 0.358370i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 0.261535 | + | 0.322805i | 0.0206119 | + | 0.0254406i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 8.28159 | − | 18.1341i | 0.648664 | − | 1.42038i | −0.244055 | − | 0.969761i | \(-0.578478\pi\) |
0.892719 | − | 0.450614i | \(-0.148795\pi\) | |||||||
\(164\) | −2.36520 | − | 0.694487i | −0.184691 | − | 0.0542303i | ||||
\(165\) | 0.0234906 | + | 0.0271096i | 0.00182874 | + | 0.00211048i | ||||
\(166\) | −6.46184 | + | 4.15277i | −0.501536 | + | 0.322318i | ||||
\(167\) | 12.0125 | − | 13.8632i | 0.929558 | − | 1.07277i | −0.0676208 | − | 0.997711i | \(-0.521541\pi\) |
0.997179 | − | 0.0750565i | \(-0.0239137\pi\) | |||||||
\(168\) | 0.0123285 | − | 0.0857467i | 0.000951166 | − | 0.00661550i | ||||
\(169\) | 1.88193 | − | 0.552586i | 0.144764 | − | 0.0425066i | ||||
\(170\) | −0.148050 | − | 0.0951463i | −0.0113550 | − | 0.00729739i | ||||
\(171\) | 1.07832 | + | 7.49985i | 0.0824608 | + | 0.573528i | ||||
\(172\) | 1.13458 | + | 2.48438i | 0.0865109 | + | 0.189433i | ||||
\(173\) | 4.47648 | + | 9.80212i | 0.340340 | + | 0.745241i | 0.999980 | − | 0.00634085i | \(-0.00201837\pi\) |
−0.659640 | + | 0.751582i | \(0.729291\pi\) | |||||||
\(174\) | −0.797801 | − | 5.54883i | −0.0604811 | − | 0.420656i | ||||
\(175\) | −0.0728765 | − | 0.0468349i | −0.00550895 | − | 0.00354039i | ||||
\(176\) | 0.0344182 | − | 0.0101061i | 0.00259437 | − | 0.000761775i | ||||
\(177\) | −0.652267 | + | 4.53662i | −0.0490274 | + | 0.340993i | ||||
\(178\) | −0.753730 | + | 0.869851i | −0.0564945 | + | 0.0651981i | ||||
\(179\) | 13.5641 | − | 8.71713i | 1.01383 | − | 0.651549i | 0.0754487 | − | 0.997150i | \(-0.475961\pi\) |
0.938382 | + | 0.345600i | \(0.112325\pi\) | |||||||
\(180\) | 0.654861 | + | 0.755750i | 0.0488104 | + | 0.0563302i | ||||
\(181\) | 21.9395 | + | 6.44202i | 1.63075 | + | 0.478832i | 0.963879 | − | 0.266341i | \(-0.0858147\pi\) |
0.666872 | + | 0.745172i | \(0.267633\pi\) | |||||||
\(182\) | −0.119564 | + | 0.261809i | −0.00886267 | + | 0.0194065i | ||||
\(183\) | 0.352794 | 0.0260793 | ||||||||
\(184\) | −2.13541 | + | 4.29418i | −0.157425 | + | 0.316571i | ||||
\(185\) | −4.96968 | −0.365378 | ||||||||
\(186\) | −0.336975 | + | 0.737873i | −0.0247082 | + | 0.0541034i | ||||
\(187\) | −0.00605718 | − | 0.00177855i | −0.000442945 | − | 0.000130060i | ||||
\(188\) | 4.59040 | + | 5.29760i | 0.334789 | + | 0.386367i | ||||
\(189\) | 0.0728765 | − | 0.0468349i | 0.00530099 | − | 0.00340674i | ||||
\(190\) | 4.96186 | − | 5.72629i | 0.359971 | − | 0.415429i | ||||
\(191\) | 2.80546 | − | 19.5124i | 0.202996 | − | 1.41187i | −0.592335 | − | 0.805692i | \(-0.701794\pi\) |
0.795331 | − | 0.606176i | \(-0.207297\pi\) | |||||||
\(192\) | 0.959493 | − | 0.281733i | 0.0692454 | − | 0.0203323i | ||||
\(193\) | −6.97727 | − | 4.48402i | −0.502235 | − | 0.322767i | 0.264875 | − | 0.964283i | \(-0.414669\pi\) |
−0.767110 | + | 0.641516i | \(0.778306\pi\) | |||||||
\(194\) | −0.444417 | − | 3.09099i | −0.0319073 | − | 0.221920i | ||||
\(195\) | −1.38019 | − | 3.02220i | −0.0988376 | − | 0.216424i | ||||
\(196\) | −2.90479 | − | 6.36060i | −0.207485 | − | 0.454328i | ||||
\(197\) | 0.734007 | + | 5.10513i | 0.0522958 | + | 0.363726i | 0.999119 | + | 0.0419707i | \(0.0133636\pi\) |
−0.946823 | + | 0.321755i | \(0.895727\pi\) | |||||||
\(198\) | 0.0301768 | + | 0.0193934i | 0.00214457 | + | 0.00137823i | ||||
\(199\) | 0.563797 | − | 0.165546i | 0.0399665 | − | 0.0117352i | −0.261688 | − | 0.965152i | \(-0.584279\pi\) |
0.301655 | + | 0.953417i | \(0.402461\pi\) | |||||||
\(200\) | 0.142315 | − | 0.989821i | 0.0100632 | − | 0.0699909i | ||||
\(201\) | 3.32863 | − | 3.84145i | 0.234784 | − | 0.270955i | ||||
\(202\) | 9.22397 | − | 5.92789i | 0.648997 | − | 0.417085i | ||||
\(203\) | 0.318020 | + | 0.367014i | 0.0223206 | + | 0.0257594i | ||||
\(204\) | −0.168859 | − | 0.0495815i | −0.0118225 | − | 0.00347140i | ||||
\(205\) | −1.02402 | + | 2.24229i | −0.0715208 | + | 0.156609i | ||||
\(206\) | −13.5456 | −0.943768 | ||||||||
\(207\) | −4.64373 | + | 1.19825i | −0.322761 | + | 0.0832844i | ||||
\(208\) | −3.32244 | −0.230370 | ||||||||
\(209\) | 0.112908 | − | 0.247234i | 0.00780999 | − | 0.0171015i | ||||
\(210\) | −0.0831194 | − | 0.0244061i | −0.00573579 | − | 0.00168418i | ||||
\(211\) | −9.95243 | − | 11.4857i | −0.685154 | − | 0.790709i | 0.301513 | − | 0.953462i | \(-0.402508\pi\) |
−0.986667 | + | 0.162753i | \(0.947963\pi\) | |||||||
\(212\) | 4.17919 | − | 2.68580i | 0.287028 | − | 0.184462i | ||||
\(213\) | 7.76878 | − | 8.96565i | 0.532308 | − | 0.614316i | ||||
\(214\) | 0.927620 | − | 6.45174i | 0.0634108 | − | 0.441032i | ||||
\(215\) | 2.62056 | − | 0.769467i | 0.178721 | − | 0.0524772i | ||||
\(216\) | 0.841254 | + | 0.540641i | 0.0572401 | + | 0.0367859i | ||||
\(217\) | −0.0100006 | − | 0.0695558i | −0.000678886 | − | 0.00472175i | ||||
\(218\) | 2.72312 | + | 5.96280i | 0.184433 | + | 0.403852i | ||||
\(219\) | −3.23653 | − | 7.08701i | −0.218704 | − | 0.478896i | ||||
\(220\) | −0.00510500 | − | 0.0355061i | −0.000344179 | − | 0.00239382i | ||||
\(221\) | 0.491889 | + | 0.316118i | 0.0330880 | + | 0.0212644i | ||||
\(222\) | −4.76837 | + | 1.40012i | −0.320032 | + | 0.0939699i | ||||
\(223\) | −0.571472 | + | 3.97467i | −0.0382686 | + | 0.266164i | −0.999968 | − | 0.00794079i | \(-0.997472\pi\) |
0.961700 | + | 0.274105i | \(0.0883814\pi\) | |||||||
\(224\) | −0.0567296 | + | 0.0654694i | −0.00379041 | + | 0.00437436i | ||||
\(225\) | 0.841254 | − | 0.540641i | 0.0560836 | − | 0.0360427i | ||||
\(226\) | −0.945331 | − | 1.09097i | −0.0628825 | − | 0.0725703i | ||||
\(227\) | 1.58539 | + | 0.465512i | 0.105226 | + | 0.0308971i | 0.333922 | − | 0.942601i | \(-0.391628\pi\) |
−0.228696 | + | 0.973498i | \(0.573446\pi\) | |||||||
\(228\) | 3.14759 | − | 6.89226i | 0.208454 | − | 0.456451i | ||||
\(229\) | −8.93673 | −0.590556 | −0.295278 | − | 0.955411i | \(-0.595412\pi\) | ||||
−0.295278 | + | 0.955411i | \(0.595412\pi\) | |||||||
\(230\) | 3.94657 | + | 2.72480i | 0.260229 | + | 0.179668i | ||||
\(231\) | −0.00310747 | −0.000204456 | ||||||||
\(232\) | −2.32877 | + | 5.09929i | −0.152891 | + | 0.334785i | ||||
\(233\) | 5.38881 | + | 1.58230i | 0.353032 | + | 0.103660i | 0.453440 | − | 0.891287i | \(-0.350197\pi\) |
−0.100408 | + | 0.994946i | \(0.532015\pi\) | |||||||
\(234\) | −2.17574 | − | 2.51093i | −0.142232 | − | 0.164145i | ||||
\(235\) | 5.89696 | − | 3.78975i | 0.384676 | − | 0.247216i | ||||
\(236\) | 3.00140 | − | 3.46380i | 0.195375 | − | 0.225474i | ||||
\(237\) | 1.07167 | − | 7.45363i | 0.0696124 | − | 0.484165i | ||||
\(238\) | 0.0146280 | − | 0.00429517i | 0.000948194 | − | 0.000278415i | ||||
\(239\) | −18.7894 | − | 12.0752i | −1.21538 | − | 0.781079i | −0.233832 | − | 0.972277i | \(-0.575127\pi\) |
−0.981552 | + | 0.191198i | \(0.938763\pi\) | |||||||
\(240\) | −0.142315 | − | 0.989821i | −0.00918638 | − | 0.0638927i | ||||
\(241\) | 9.57391 | + | 20.9639i | 0.616710 | + | 1.35041i | 0.917888 | + | 0.396839i | \(0.129893\pi\) |
−0.301178 | + | 0.953568i | \(0.597380\pi\) | |||||||
\(242\) | 4.56903 | + | 10.0048i | 0.293708 | + | 0.643132i | ||||
\(243\) | 0.142315 | + | 0.989821i | 0.00912950 | + | 0.0634971i | ||||
\(244\) | −0.296789 | − | 0.190735i | −0.0190000 | − | 0.0122105i | ||||
\(245\) | −6.70925 | + | 1.97001i | −0.428638 | + | 0.125860i | ||||
\(246\) | −0.350814 | + | 2.43997i | −0.0223671 | + | 0.155567i | ||||
\(247\) | −16.4855 | + | 19.0253i | −1.04895 | + | 1.21055i | ||||
\(248\) | 0.682405 | − | 0.438555i | 0.0433328 | − | 0.0278483i | ||||
\(249\) | 5.03012 | + | 5.80507i | 0.318771 | + | 0.367881i | ||||
\(250\) | −0.959493 | − | 0.281733i | −0.0606837 | − | 0.0178183i | ||||
\(251\) | 8.81737 | − | 19.3073i | 0.556547 | − | 1.21867i | −0.397109 | − | 0.917771i | \(-0.629987\pi\) |
0.953657 | − | 0.300897i | \(-0.0972861\pi\) | |||||||
\(252\) | −0.0866285 | −0.00545708 | ||||||||
\(253\) | 0.163371 | + | 0.0538984i | 0.0102710 | + | 0.00338856i | ||||
\(254\) | −11.8600 | −0.744164 | ||||||||
\(255\) | −0.0731080 | + | 0.160084i | −0.00457820 | + | 0.0100249i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 11.1492 | + | 12.8669i | 0.695470 | + | 0.802615i | 0.988133 | − | 0.153601i | \(-0.0490870\pi\) |
−0.292663 | + | 0.956216i | \(0.594542\pi\) | |||||||
\(258\) | 2.29763 | − | 1.47660i | 0.143044 | − | 0.0919289i | ||||
\(259\) | 0.281928 | − | 0.325362i | 0.0175181 | − | 0.0202170i | ||||
\(260\) | −0.472833 | + | 3.28862i | −0.0293238 | + | 0.203952i | ||||
\(261\) | −5.37881 | + | 1.57936i | −0.332940 | + | 0.0977600i | ||||
\(262\) | 14.5497 | + | 9.35054i | 0.898885 | + | 0.577679i | ||||
\(263\) | 0.732384 | + | 5.09384i | 0.0451607 | + | 0.314100i | 0.999863 | + | 0.0165379i | \(0.00526440\pi\) |
−0.954703 | + | 0.297562i | \(0.903827\pi\) | |||||||
\(264\) | −0.0149014 | − | 0.0326296i | −0.000917120 | − | 0.00200821i | ||||
\(265\) | −2.06370 | − | 4.51888i | −0.126772 | − | 0.277593i | ||||
\(266\) | 0.0934128 | + | 0.649701i | 0.00572751 | + | 0.0398357i | ||||
\(267\) | 0.968264 | + | 0.622266i | 0.0592568 | + | 0.0380820i | ||||
\(268\) | −4.87707 | + | 1.43204i | −0.297914 | + | 0.0874756i | ||||
\(269\) | 0.989705 | − | 6.88355i | 0.0603434 | − | 0.419697i | −0.937149 | − | 0.348928i | \(-0.886546\pi\) |
0.997493 | − | 0.0707689i | \(-0.0225453\pi\) | |||||||
\(270\) | 0.654861 | − | 0.755750i | 0.0398536 | − | 0.0459935i | ||||
\(271\) | −22.4822 | + | 14.4485i | −1.36570 | + | 0.877681i | −0.998620 | − | 0.0525090i | \(-0.983278\pi\) |
−0.367078 | + | 0.930190i | \(0.619642\pi\) | |||||||
\(272\) | 0.115248 | + | 0.133003i | 0.00698791 | + | 0.00806448i | ||||
\(273\) | 0.276159 | + | 0.0810877i | 0.0167139 | + | 0.00490765i | ||||
\(274\) | 3.00783 | − | 6.58624i | 0.181710 | − | 0.397889i | ||||
\(275\) | −0.0358712 | −0.00216311 | ||||||||
\(276\) | 4.55438 | + | 1.50255i | 0.274141 | + | 0.0904430i | ||||
\(277\) | −12.7252 | −0.764585 | −0.382292 | − | 0.924041i | \(-0.624865\pi\) | ||||
−0.382292 | + | 0.924041i | \(0.624865\pi\) | |||||||
\(278\) | −2.56591 | + | 5.61855i | −0.153893 | + | 0.336978i | ||||
\(279\) | 0.778319 | + | 0.228535i | 0.0465967 | + | 0.0136820i | ||||
\(280\) | 0.0567296 | + | 0.0654694i | 0.00339024 | + | 0.00391255i | ||||
\(281\) | −24.6842 | + | 15.8635i | −1.47253 | + | 0.946340i | −0.474727 | + | 0.880133i | \(0.657453\pi\) |
−0.997806 | + | 0.0662067i | \(0.978910\pi\) | |||||||
\(282\) | 4.59040 | − | 5.29760i | 0.273354 | − | 0.315468i | ||||
\(283\) | 1.30801 | − | 9.09741i | 0.0777531 | − | 0.540785i | −0.913297 | − | 0.407294i | \(-0.866472\pi\) |
0.991050 | − | 0.133490i | \(-0.0426186\pi\) | |||||||
\(284\) | −11.3827 | + | 3.34227i | −0.675440 | + | 0.198327i | ||||
\(285\) | −6.37415 | − | 4.09642i | −0.377572 | − | 0.242651i | ||||
\(286\) | 0.0169611 | + | 0.117967i | 0.00100293 | + | 0.00697553i | ||||
\(287\) | −0.0887095 | − | 0.194247i | −0.00523635 | − | 0.0114660i | ||||
\(288\) | −0.415415 | − | 0.909632i | −0.0244786 | − | 0.0536006i | ||||
\(289\) | 2.41494 | + | 16.7963i | 0.142056 | + | 0.988018i | ||||
\(290\) | 4.71597 | + | 3.03077i | 0.276931 | + | 0.177973i | ||||
\(291\) | −2.99628 | + | 0.879787i | −0.175645 | + | 0.0515740i | ||||
\(292\) | −1.10879 | + | 7.71177i | −0.0648868 | + | 0.451297i | ||||
\(293\) | 0.328543 | − | 0.379158i | 0.0191937 | − | 0.0221507i | −0.746072 | − | 0.665866i | \(-0.768062\pi\) |
0.765265 | + | 0.643715i | \(0.222608\pi\) | |||||||
\(294\) | −5.88246 | + | 3.78043i | −0.343072 | + | 0.220479i | ||||
\(295\) | −3.00140 | − | 3.46380i | −0.174748 | − | 0.201670i | ||||
\(296\) | 4.76837 | + | 1.40012i | 0.277156 | + | 0.0813803i | ||||
\(297\) | 0.0149014 | − | 0.0326296i | 0.000864669 | − | 0.00189336i | ||||
\(298\) | −13.6299 | −0.789560 | ||||||||
\(299\) | −13.1123 | − | 9.05300i | −0.758301 | − | 0.523549i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | −0.0982870 | + | 0.215218i | −0.00566517 | + | 0.0124050i | ||||
\(302\) | 16.1280 | + | 4.73560i | 0.928061 | + | 0.272503i | ||||
\(303\) | −7.18026 | − | 8.28646i | −0.412495 | − | 0.476045i | ||||
\(304\) | −6.37415 | + | 4.09642i | −0.365583 | + | 0.234946i | ||||
\(305\) | −0.231031 | + | 0.266624i | −0.0132288 | + | 0.0152668i | ||||
\(306\) | −0.0250457 | + | 0.174197i | −0.00143177 | + | 0.00995816i | ||||
\(307\) | −3.11324 | + | 0.914129i | −0.177682 | + | 0.0521721i | −0.369363 | − | 0.929285i | \(-0.620424\pi\) |
0.191681 | + | 0.981457i | \(0.438606\pi\) | |||||||
\(308\) | 0.00261417 | + | 0.00168002i | 0.000148956 | + | 9.57283e-5i | ||||
\(309\) | 1.92774 | + | 13.4077i | 0.109665 | + | 0.762740i | ||||
\(310\) | −0.336975 | − | 0.737873i | −0.0191389 | − | 0.0419083i | ||||
\(311\) | −7.89387 | − | 17.2852i | −0.447620 | − | 0.980152i | −0.990136 | − | 0.140106i | \(-0.955256\pi\) |
0.542516 | − | 0.840045i | \(-0.317472\pi\) | |||||||
\(312\) | 0.472833 | + | 3.28862i | 0.0267689 | + | 0.186182i | ||||
\(313\) | 9.67922 | + | 6.22046i | 0.547102 | + | 0.351601i | 0.784811 | − | 0.619735i | \(-0.212760\pi\) |
−0.237709 | + | 0.971336i | \(0.576396\pi\) | |||||||
\(314\) | 8.54245 | − | 2.50829i | 0.482079 | − | 0.141551i | ||||
\(315\) | −0.0123285 | + | 0.0857467i | −0.000694633 | + | 0.00483128i | ||||
\(316\) | −4.93128 | + | 5.69100i | −0.277406 | + | 0.320144i | ||||
\(317\) | −6.56031 | + | 4.21606i | −0.368464 | + | 0.236797i | −0.711749 | − | 0.702434i | \(-0.752097\pi\) |
0.343285 | + | 0.939231i | \(0.388460\pi\) | |||||||
\(318\) | −3.25322 | − | 3.75442i | −0.182432 | − | 0.210537i | ||||
\(319\) | 0.192944 | + | 0.0566536i | 0.0108028 | + | 0.00317199i | ||||
\(320\) | −0.415415 | + | 0.909632i | −0.0232224 | + | 0.0508500i | ||||
\(321\) | −6.51808 | −0.363804 | ||||||||
\(322\) | −0.402279 | + | 0.103803i | −0.0224181 | + | 0.00578471i | ||||
\(323\) | 1.33346 | 0.0741955 | ||||||||
\(324\) | 0.415415 | − | 0.909632i | 0.0230786 | − | 0.0505351i | ||||
\(325\) | 3.18786 | + | 0.936040i | 0.176831 | + | 0.0519221i | ||||
\(326\) | 13.0551 | + | 15.0664i | 0.723055 | + | 0.834450i | ||||
\(327\) | 5.51457 | − | 3.54400i | 0.304956 | − | 0.195983i | ||||
\(328\) | 1.61427 | − | 1.86297i | 0.0891331 | − | 0.102865i | ||||
\(329\) | −0.0864197 | + | 0.601062i | −0.00476447 | + | 0.0331376i | ||||
\(330\) | −0.0344182 | + | 0.0101061i | −0.00189466 | + | 0.000556322i | ||||
\(331\) | −14.9419 | − | 9.60258i | −0.821281 | − | 0.527805i | 0.0612152 | − | 0.998125i | \(-0.480502\pi\) |
−0.882496 | + | 0.470319i | \(0.844139\pi\) | |||||||
\(332\) | −1.09315 | − | 7.60302i | −0.0599944 | − | 0.417270i | ||||
\(333\) | 2.06448 | + | 4.52058i | 0.113133 | + | 0.247726i | ||||
\(334\) | 7.62023 | + | 16.6860i | 0.416961 | + | 0.913016i | ||||
\(335\) | 0.723381 | + | 5.03123i | 0.0395226 | + | 0.274885i | ||||
\(336\) | 0.0728765 | + | 0.0468349i | 0.00397574 | + | 0.00255505i | ||||
\(337\) | −22.3972 | + | 6.57640i | −1.22005 | + | 0.358240i | −0.827487 | − | 0.561485i | \(-0.810230\pi\) |
−0.392565 | + | 0.919724i | \(0.628412\pi\) | |||||||
\(338\) | −0.279134 | + | 1.94142i | −0.0151829 | + | 0.105599i | ||||
\(339\) | −0.945331 | + | 1.09097i | −0.0513433 | + | 0.0592534i | ||||
\(340\) | 0.148050 | − | 0.0951463i | 0.00802916 | − | 0.00516003i | ||||
\(341\) | −0.0190551 | − | 0.0219907i | −0.00103189 | − | 0.00119086i | ||||
\(342\) | −7.27005 | − | 2.13468i | −0.393119 | − | 0.115430i | ||||
\(343\) | 0.503545 | − | 1.10261i | 0.0271889 | − | 0.0595353i | ||||
\(344\) | −2.73120 | −0.147256 | ||||||||
\(345\) | 2.13541 | − | 4.29418i | 0.114967 | − | 0.231191i | ||||
\(346\) | −10.7759 | −0.579317 | ||||||||
\(347\) | 5.12918 | − | 11.2313i | 0.275349 | − | 0.602930i | −0.720550 | − | 0.693403i | \(-0.756111\pi\) |
0.995899 | + | 0.0904732i | \(0.0288380\pi\) | |||||||
\(348\) | 5.37881 | + | 1.57936i | 0.288334 | + | 0.0846626i | ||||
\(349\) | −2.52285 | − | 2.91153i | −0.135045 | − | 0.155850i | 0.684199 | − | 0.729296i | \(-0.260152\pi\) |
−0.819244 | + | 0.573445i | \(0.805607\pi\) | |||||||
\(350\) | 0.0728765 | − | 0.0468349i | 0.00389541 | − | 0.00250343i | ||||
\(351\) | −2.17574 | + | 2.51093i | −0.116132 | + | 0.134024i | ||||
\(352\) | −0.00510500 | + | 0.0355061i | −0.000272098 | + | 0.00189248i | ||||
\(353\) | −5.77000 | + | 1.69422i | −0.307106 | + | 0.0901745i | −0.431654 | − | 0.902039i | \(-0.642070\pi\) |
0.124548 | + | 0.992214i | \(0.460252\pi\) | |||||||
\(354\) | −3.85569 | − | 2.47790i | −0.204928 | − | 0.131699i | ||||
\(355\) | 1.68832 | + | 11.7425i | 0.0896066 | + | 0.623228i | ||||
\(356\) | −0.478134 | − | 1.04697i | −0.0253410 | − | 0.0554891i | ||||
\(357\) | −0.00633324 | − | 0.0138679i | −0.000335191 | − | 0.000733965i | ||||
\(358\) | 2.29464 | + | 15.9596i | 0.121276 | + | 0.843491i | ||||
\(359\) | 17.0360 | + | 10.9484i | 0.899126 | + | 0.577833i | 0.906531 | − | 0.422139i | \(-0.138721\pi\) |
−0.00740477 | + | 0.999973i | \(0.502357\pi\) | |||||||
\(360\) | −0.959493 | + | 0.281733i | −0.0505697 | + | 0.0148486i | ||||
\(361\) | −5.46638 | + | 38.0195i | −0.287704 | + | 2.00103i | ||||
\(362\) | −14.9739 | + | 17.2808i | −0.787009 | + | 0.908257i | ||||
\(363\) | 9.25271 | − | 5.94635i | 0.485641 | − | 0.312103i | ||||
\(364\) | −0.188481 | − | 0.217518i | −0.00987908 | − | 0.0114011i | ||||
\(365\) | 7.47548 | + | 2.19500i | 0.391285 | + | 0.114892i | ||||
\(366\) | −0.146556 | + | 0.320913i | −0.00766060 | + | 0.0167744i | ||||
\(367\) | −12.3855 | −0.646520 | −0.323260 | − | 0.946310i | \(-0.604779\pi\) | ||||
−0.323260 | + | 0.946310i | \(0.604779\pi\) | |||||||
\(368\) | −3.01904 | − | 3.72631i | −0.157379 | − | 0.194247i | ||||
\(369\) | 2.46506 | 0.128326 | ||||||||
\(370\) | 2.06448 | − | 4.52058i | 0.107327 | − | 0.235014i | ||||
\(371\) | 0.412922 | + | 0.121245i | 0.0214378 | + | 0.00629471i | ||||
\(372\) | −0.531208 | − | 0.613047i | −0.0275418 | − | 0.0317850i | ||||
\(373\) | −11.4602 | + | 7.36501i | −0.593385 | + | 0.381346i | −0.802594 | − | 0.596525i | \(-0.796547\pi\) |
0.209209 | + | 0.977871i | \(0.432911\pi\) | |||||||
\(374\) | 0.00413407 | − | 0.00477097i | 0.000213768 | − | 0.000246701i | ||||
\(375\) | −0.142315 | + | 0.989821i | −0.00734911 | + | 0.0511142i | ||||
\(376\) | −6.72579 | + | 1.97487i | −0.346856 | + | 0.101846i | ||||
\(377\) | −15.6685 | − | 10.0696i | −0.806971 | − | 0.518609i | ||||
\(378\) | 0.0123285 | + | 0.0857467i | 0.000634111 | + | 0.00441034i | ||||
\(379\) | 11.3264 | + | 24.8015i | 0.581801 | + | 1.27397i | 0.940272 | + | 0.340425i | \(0.110571\pi\) |
−0.358471 | + | 0.933541i | \(0.616702\pi\) | |||||||
\(380\) | 3.14759 | + | 6.89226i | 0.161468 | + | 0.353565i | ||||
\(381\) | 1.68786 | + | 11.7393i | 0.0864715 | + | 0.601422i | ||||
\(382\) | 16.5837 | + | 10.6577i | 0.848495 | + | 0.545294i | ||||
\(383\) | 5.53290 | − | 1.62461i | 0.282718 | − | 0.0830134i | −0.137299 | − | 0.990530i | \(-0.543842\pi\) |
0.420017 | + | 0.907516i | \(0.362024\pi\) | |||||||
\(384\) | −0.142315 | + | 0.989821i | −0.00726247 | + | 0.0505116i | ||||
\(385\) | 0.00203496 | − | 0.00234847i | 0.000103711 | − | 0.000119689i | ||||
\(386\) | 6.97727 | − | 4.48402i | 0.355134 | − | 0.228231i | ||||
\(387\) | −1.78855 | − | 2.06410i | −0.0909173 | − | 0.104924i | ||||
\(388\) | 2.99628 | + | 0.879787i | 0.152113 | + | 0.0446644i | ||||
\(389\) | −10.6397 | + | 23.2977i | −0.539454 | + | 1.18124i | 0.422081 | + | 0.906558i | \(0.361300\pi\) |
−0.961535 | + | 0.274682i | \(0.911427\pi\) | |||||||
\(390\) | 3.32244 | 0.168238 | ||||||||
\(391\) | 0.0924265 | + | 0.838933i | 0.00467421 | + | 0.0424266i | ||||
\(392\) | 6.99250 | 0.353174 | ||||||||
\(393\) | 7.18473 | − | 15.7324i | 0.362422 | − | 0.793592i | ||||
\(394\) | −4.94871 | − | 1.45307i | −0.249312 | − | 0.0732047i | ||||
\(395\) | 4.93128 | + | 5.69100i | 0.248120 | + | 0.286345i | ||||
\(396\) | −0.0301768 | + | 0.0193934i | −0.00151644 | + | 0.000974557i | ||||
\(397\) | −16.6302 | + | 19.1922i | −0.834644 | + | 0.963231i | −0.999734 | − | 0.0230475i | \(-0.992663\pi\) |
0.165090 | + | 0.986279i | \(0.447209\pi\) | |||||||
\(398\) | −0.0836241 | + | 0.581618i | −0.00419170 | + | 0.0291539i | ||||
\(399\) | 0.629794 | − | 0.184924i | 0.0315291 | − | 0.00925778i | ||||
\(400\) | 0.841254 | + | 0.540641i | 0.0420627 | + | 0.0270320i | ||||
\(401\) | −2.16604 | − | 15.0652i | −0.108167 | − | 0.752318i | −0.969644 | − | 0.244521i | \(-0.921369\pi\) |
0.861477 | − | 0.507797i | \(-0.169540\pi\) | |||||||
\(402\) | 2.11154 | + | 4.62363i | 0.105314 | + | 0.230606i | ||||
\(403\) | 1.11958 | + | 2.45154i | 0.0557702 | + | 0.122120i | ||||
\(404\) | 1.56042 | + | 10.8530i | 0.0776338 | + | 0.539955i | ||||
\(405\) | −0.841254 | − | 0.540641i | −0.0418022 | − | 0.0268647i | ||||
\(406\) | −0.465958 | + | 0.136818i | −0.0231251 | + | 0.00679015i | ||||
\(407\) | 0.0253702 | − | 0.176454i | 0.00125756 | − | 0.00874649i | ||||
\(408\) | 0.115248 | − | 0.133003i | 0.00570561 | − | 0.00658462i | ||||
\(409\) | 19.7028 | − | 12.6622i | 0.974238 | − | 0.626105i | 0.0463351 | − | 0.998926i | \(-0.485246\pi\) |
0.927903 | + | 0.372821i | \(0.121609\pi\) | |||||||
\(410\) | −1.61427 | − | 1.86297i | −0.0797231 | − | 0.0920053i | ||||
\(411\) | −6.94726 | − | 2.03990i | −0.342683 | − | 0.100621i | ||||
\(412\) | 5.62705 | − | 12.3215i | 0.277225 | − | 0.607038i | ||||
\(413\) | 0.397042 | 0.0195371 | ||||||||
\(414\) | 0.839103 | − | 4.72185i | 0.0412397 | − | 0.232066i | ||||
\(415\) | −7.68120 | −0.377055 | ||||||||
\(416\) | 1.38019 | − | 3.02220i | 0.0676695 | − | 0.148175i | ||||
\(417\) | 5.92653 | + | 1.74019i | 0.290223 | + | 0.0852173i | ||||
\(418\) | 0.177988 | + | 0.205409i | 0.00870567 | + | 0.0100469i | ||||
\(419\) | 29.8800 | − | 19.2027i | 1.45974 | − | 0.938115i | 0.461023 | − | 0.887388i | \(-0.347482\pi\) |
0.998713 | − | 0.0507273i | \(-0.0161539\pi\) | |||||||
\(420\) | 0.0567296 | − | 0.0654694i | 0.00276812 | − | 0.00319458i | ||||
\(421\) | −1.02464 | + | 7.12653i | −0.0499379 | + | 0.347326i | 0.949499 | + | 0.313770i | \(0.101592\pi\) |
−0.999437 | + | 0.0335556i | \(0.989317\pi\) | |||||||
\(422\) | 14.5822 | − | 4.28171i | 0.709849 | − | 0.208430i | ||||
\(423\) | −5.89696 | − | 3.78975i | −0.286720 | − | 0.184264i | ||||
\(424\) | 0.706993 | + | 4.91724i | 0.0343346 | + | 0.238802i | ||||
\(425\) | −0.0731080 | − | 0.160084i | −0.00354626 | − | 0.00776523i | ||||
\(426\) | 4.92817 | + | 10.7912i | 0.238771 | + | 0.522835i | ||||
\(427\) | −0.00434943 | − | 0.0302509i | −0.000210484 | − | 0.00146395i | ||||
\(428\) | 5.48336 | + | 3.52394i | 0.265048 | + | 0.170336i | ||||
\(429\) | 0.114352 | − | 0.0335769i | 0.00552098 | − | 0.00162111i | ||||
\(430\) | −0.388690 | + | 2.70340i | −0.0187443 | + | 0.130369i | ||||
\(431\) | −7.51633 | + | 8.67431i | −0.362049 | + | 0.417827i | −0.907325 | − | 0.420430i | \(-0.861879\pi\) |
0.545276 | + | 0.838257i | \(0.316425\pi\) | |||||||
\(432\) | −0.841254 | + | 0.540641i | −0.0404748 | + | 0.0260116i | ||||
\(433\) | −21.3627 | − | 24.6539i | −1.02663 | − | 1.18479i | −0.982595 | − | 0.185760i | \(-0.940525\pi\) |
−0.0440316 | − | 0.999030i | \(-0.514020\pi\) | |||||||
\(434\) | 0.0674246 | + | 0.0197976i | 0.00323648 | + | 0.000950317i | ||||
\(435\) | 2.32877 | − | 5.09929i | 0.111656 | − | 0.244492i | ||||
\(436\) | −6.55518 | −0.313936 | ||||||||
\(437\) | −36.3180 | − | 1.20150i | −1.73733 | − | 0.0574755i | ||||
\(438\) | 7.79107 | 0.372272 | ||||||||
\(439\) | 2.68938 | − | 5.88893i | 0.128357 | − | 0.281063i | −0.834532 | − | 0.550959i | \(-0.814262\pi\) |
0.962890 | + | 0.269896i | \(0.0869893\pi\) | |||||||
\(440\) | 0.0344182 | + | 0.0101061i | 0.00164082 | + | 0.000481789i | ||||
\(441\) | 4.57911 | + | 5.28458i | 0.218053 | + | 0.251646i | ||||
\(442\) | −0.491889 | + | 0.316118i | −0.0233968 | + | 0.0150362i | ||||
\(443\) | −14.5733 | + | 16.8185i | −0.692401 | + | 0.799073i | −0.987705 | − | 0.156330i | \(-0.950034\pi\) |
0.295304 | + | 0.955403i | \(0.404579\pi\) | |||||||
\(444\) | 0.707259 | − | 4.91909i | 0.0335650 | − | 0.233450i | ||||
\(445\) | −1.10436 | + | 0.324268i | −0.0523515 | + | 0.0153718i | ||||
\(446\) | −3.37809 | − | 2.17097i | −0.159957 | − | 0.102798i | ||||
\(447\) | 1.93974 | + | 13.4912i | 0.0917465 | + | 0.638111i | ||||
\(448\) | −0.0359868 | − | 0.0788000i | −0.00170022 | − | 0.00372295i | ||||
\(449\) | −1.83527 | − | 4.01869i | −0.0866120 | − | 0.189654i | 0.861370 | − | 0.507978i | \(-0.169607\pi\) |
−0.947982 | + | 0.318325i | \(0.896880\pi\) | |||||||
\(450\) | 0.142315 | + | 0.989821i | 0.00670879 | + | 0.0466606i | ||||
\(451\) | −0.0743875 | − | 0.0478059i | −0.00350277 | − | 0.00225109i | ||||
\(452\) | 1.38509 | − | 0.406698i | 0.0651490 | − | 0.0191295i | ||||
\(453\) | 2.39215 | − | 16.6378i | 0.112393 | − | 0.781710i | ||||
\(454\) | −1.08204 | + | 1.24874i | −0.0507825 | + | 0.0586062i | ||||
\(455\) | −0.242128 | + | 0.155606i | −0.0113511 | + | 0.00729493i | ||||
\(456\) | 4.96186 | + | 5.72629i | 0.232360 | + | 0.268158i | ||||
\(457\) | −4.13036 | − | 1.21278i | −0.193210 | − | 0.0567316i | 0.183696 | − | 0.982983i | \(-0.441194\pi\) |
−0.376906 | + | 0.926252i | \(0.623012\pi\) | |||||||
\(458\) | 3.71245 | − | 8.12913i | 0.173471 | − | 0.379849i | ||||
\(459\) | 0.175988 | 0.00821441 | ||||||||
\(460\) | −4.11803 | + | 2.45800i | −0.192004 | + | 0.114605i | ||||
\(461\) | 12.1243 | 0.564685 | 0.282342 | − | 0.959314i | \(-0.408889\pi\) | ||||
0.282342 | + | 0.959314i | \(0.408889\pi\) | |||||||
\(462\) | 0.00129089 | − | 0.00282665i | 6.00576e−5 | − | 0.000131508i | ||||
\(463\) | −6.43568 | − | 1.88968i | −0.299091 | − | 0.0878211i | 0.128744 | − | 0.991678i | \(-0.458905\pi\) |
−0.427835 | + | 0.903857i | \(0.640724\pi\) | |||||||
\(464\) | −3.67108 | − | 4.23665i | −0.170425 | − | 0.196681i | ||||
\(465\) | −0.682405 | + | 0.438555i | −0.0316458 | + | 0.0203375i | ||||
\(466\) | −3.67790 | + | 4.24452i | −0.170375 | + | 0.196624i | ||||
\(467\) | 5.17694 | − | 36.0064i | 0.239560 | − | 1.66618i | −0.414737 | − | 0.909941i | \(-0.636127\pi\) |
0.654298 | − | 0.756237i | \(-0.272964\pi\) | |||||||
\(468\) | 3.18786 | − | 0.936040i | 0.147359 | − | 0.0432685i | ||||
\(469\) | −0.370429 | − | 0.238060i | −0.0171048 | − | 0.0109926i | ||||
\(470\) | 0.997589 | + | 6.93839i | 0.0460154 | + | 0.320044i | ||||
\(471\) | −3.69848 | − | 8.09854i | −0.170417 | − | 0.373161i | ||||
\(472\) | 1.90396 | + | 4.16909i | 0.0876368 | + | 0.191898i | ||||
\(473\) | 0.0139428 | + | 0.0969741i | 0.000641089 | + | 0.00445887i | ||||
\(474\) | 6.33487 | + | 4.07117i | 0.290970 | + | 0.186995i | ||||
\(475\) | 7.27005 | − | 2.13468i | 0.333573 | − | 0.0979458i | ||||
\(476\) | −0.00216967 | + | 0.0150904i | −9.94467e−5 | + | 0.000691667i | ||||
\(477\) | −3.25322 | + | 3.75442i | −0.148955 | + | 0.171903i | ||||
\(478\) | 18.7894 | − | 12.0752i | 0.859406 | − | 0.552307i | ||||
\(479\) | −5.78714 | − | 6.67872i | −0.264421 | − | 0.305158i | 0.607977 | − | 0.793955i | \(-0.291981\pi\) |
−0.872398 | + | 0.488797i | \(0.837436\pi\) | |||||||
\(480\) | 0.959493 | + | 0.281733i | 0.0437947 | + | 0.0128593i | ||||
\(481\) | −6.85911 | + | 15.0194i | −0.312749 | + | 0.684824i | ||||
\(482\) | −23.0466 | −1.04974 | ||||||||
\(483\) | 0.159997 | + | 0.383412i | 0.00728010 | + | 0.0174458i | ||||
\(484\) | −10.9987 | −0.499942 | ||||||||
\(485\) | 1.29725 | − | 2.84057i | 0.0589049 | − | 0.128984i | ||||
\(486\) | −0.959493 | − | 0.281733i | −0.0435235 | − | 0.0127796i | ||||
\(487\) | −10.7522 | − | 12.4087i | −0.487228 | − | 0.562291i | 0.457895 | − | 0.889006i | \(-0.348604\pi\) |
−0.945123 | + | 0.326716i | \(0.894058\pi\) | |||||||
\(488\) | 0.296789 | − | 0.190735i | 0.0134350 | − | 0.00863416i | ||||
\(489\) | 13.0551 | − | 15.0664i | 0.590372 | − | 0.681326i | ||||
\(490\) | 0.995136 | − | 6.92132i | 0.0449557 | − | 0.312673i | ||||
\(491\) | 9.98400 | − | 2.93157i | 0.450571 | − | 0.132300i | −0.0485709 | − | 0.998820i | \(-0.515467\pi\) |
0.499142 | + | 0.866520i | \(0.333648\pi\) | |||||||
\(492\) | −2.07374 | − | 1.33271i | −0.0934913 | − | 0.0600832i | ||||
\(493\) | 0.140403 | + | 0.976527i | 0.00632345 | + | 0.0439806i | ||||
\(494\) | −10.4577 | − | 22.8991i | −0.470513 | − | 1.03028i | ||||
\(495\) | 0.0149014 | + | 0.0326296i | 0.000669770 | + | 0.00146659i | ||||
\(496\) | 0.115443 | + | 0.802920i | 0.00518352 | + | 0.0360522i | ||||
\(497\) | −0.864553 | − | 0.555614i | −0.0387805 | − | 0.0249227i | ||||
\(498\) | −7.37006 | + | 2.16404i | −0.330260 | + | 0.0969732i | ||||
\(499\) | −1.58820 | + | 11.0462i | −0.0710978 | + | 0.494496i | 0.922895 | + | 0.385051i | \(0.125816\pi\) |
−0.993993 | + | 0.109445i | \(0.965093\pi\) | |||||||
\(500\) | 0.654861 | − | 0.755750i | 0.0292863 | − | 0.0337981i | ||||
\(501\) | 15.4317 | − | 9.91733i | 0.689436 | − | 0.443074i | ||||
\(502\) | 13.8997 | + | 16.0411i | 0.620374 | + | 0.715950i | ||||
\(503\) | 19.5644 | + | 5.74463i | 0.872334 | + | 0.256141i | 0.687108 | − | 0.726555i | \(-0.258880\pi\) |
0.185227 | + | 0.982696i | \(0.440698\pi\) | |||||||
\(504\) | 0.0359868 | − | 0.0788000i | 0.00160298 | − | 0.00351003i | ||||
\(505\) | 10.9646 | 0.487917 | ||||||||
\(506\) | −0.116894 | + | 0.126217i | −0.00519659 | + | 0.00561104i | ||||
\(507\) | 1.96138 | 0.0871081 | ||||||||
\(508\) | 4.92683 | − | 10.7883i | 0.218593 | − | 0.478651i | ||||
\(509\) | 22.1919 | + | 6.51612i | 0.983637 | + | 0.288822i | 0.733725 | − | 0.679447i | \(-0.237780\pi\) |
0.249912 | + | 0.968269i | \(0.419598\pi\) | |||||||
\(510\) | −0.115248 | − | 0.133003i | −0.00510325 | − | 0.00588946i | ||||
\(511\) | −0.567786 | + | 0.364894i | −0.0251174 | + | 0.0161420i | ||||
\(512\) | 0.654861 | − | 0.755750i | 0.0289410 | − | 0.0333997i | ||||
\(513\) | −1.07832 | + | 7.49985i | −0.0476088 | + | 0.331126i | ||||
\(514\) | −16.3357 | + | 4.79659i | −0.720536 | + | 0.211569i | ||||
\(515\) | −11.3953 | − | 7.32332i | −0.502137 | − | 0.322704i | ||||
\(516\) | 0.388690 | + | 2.70340i | 0.0171111 | + | 0.119010i | ||||
\(517\) | 0.104455 | + | 0.228725i | 0.00459393 | + | 0.0100593i | ||||
\(518\) | 0.178843 | + | 0.391611i | 0.00785790 | + | 0.0172064i | ||||
\(519\) | 1.53357 | + | 10.6662i | 0.0673164 | + | 0.468196i | ||||
\(520\) | −2.79502 | − | 1.79625i | −0.122570 | − | 0.0787707i | ||||
\(521\) | 33.4371 | − | 9.81801i | 1.46491 | − | 0.430135i | 0.550466 | − | 0.834858i | \(-0.314450\pi\) |
0.914439 | + | 0.404723i | \(0.132632\pi\) | |||||||
\(522\) | 0.797801 | − | 5.54883i | 0.0349188 | − | 0.242866i | ||||
\(523\) | 1.10407 | − | 1.27417i | 0.0482777 | − | 0.0557155i | −0.731097 | − | 0.682273i | \(-0.760991\pi\) |
0.779375 | + | 0.626558i | \(0.215537\pi\) | |||||||
\(524\) | −14.5497 | + | 9.35054i | −0.635608 | + | 0.408480i | ||||
\(525\) | −0.0567296 | − | 0.0654694i | −0.00247588 | − | 0.00285732i | ||||
\(526\) | −4.93777 | − | 1.44986i | −0.215297 | − | 0.0632169i | ||||
\(527\) | 0.0593036 | − | 0.129857i | 0.00258330 | − | 0.00565665i | ||||
\(528\) | 0.0358712 | 0.00156109 | ||||||||
\(529\) | −1.76142 | − | 22.9325i | −0.0765833 | − | 0.997063i | ||||
\(530\) | 4.96781 | 0.215788 | ||||||||
\(531\) | −1.90396 | + | 4.16909i | −0.0826248 | + | 0.180923i | ||||
\(532\) | −0.629794 | − | 0.184924i | −0.0273050 | − | 0.00801748i | ||||
\(533\) | 5.36331 | + | 6.18959i | 0.232311 | + | 0.268101i | ||||
\(534\) | −0.968264 | + | 0.622266i | −0.0419009 | + | 0.0269281i | ||||
\(535\) | 4.26844 | − | 4.92604i | 0.184541 | − | 0.212971i | ||||
\(536\) | 0.723381 | − | 5.03123i | 0.0312453 | − | 0.217316i | ||||
\(537\) | 15.4706 | − | 4.54257i | 0.667605 | − | 0.196027i | ||||
\(538\) | 5.85036 | + | 3.75980i | 0.252227 | + | 0.162096i | ||||
\(539\) | −0.0356967 | − | 0.248276i | −0.00153757 | − | 0.0106940i | ||||
\(540\) | 0.415415 | + | 0.909632i | 0.0178766 | + | 0.0391443i | ||||
\(541\) | 2.74897 | + | 6.01940i | 0.118187 | + | 0.258794i | 0.959475 | − | 0.281793i | \(-0.0909292\pi\) |
−0.841288 | + | 0.540588i | \(0.818202\pi\) | |||||||
\(542\) | −3.80332 | − | 26.4527i | −0.163367 | − | 1.13624i | ||||
\(543\) | 19.2359 | + | 12.3621i | 0.825490 | + | 0.530511i | ||||
\(544\) | −0.168859 | + | 0.0495815i | −0.00723978 | + | 0.00212579i | ||||
\(545\) | −0.932899 | + | 6.48846i | −0.0399610 | + | 0.277935i | ||||
\(546\) | −0.188481 | + | 0.217518i | −0.00806623 | + | 0.00930893i | ||||
\(547\) | 23.4910 | − | 15.0967i | 1.00440 | − | 0.645490i | 0.0684632 | − | 0.997654i | \(-0.478190\pi\) |
0.935938 | + | 0.352164i | \(0.114554\pi\) | |||||||
\(548\) | 4.74155 | + | 5.47205i | 0.202549 | + | 0.233754i | ||||
\(549\) | 0.338503 | + | 0.0993936i | 0.0144470 | + | 0.00424201i | ||||
\(550\) | 0.0149014 | − | 0.0326296i | 0.000635399 | − | 0.00139133i | ||||
\(551\) | −42.4757 | −1.80952 | ||||||||
\(552\) | −3.25873 | + | 3.51862i | −0.138701 | + | 0.149763i | ||||
\(553\) | −0.652336 | −0.0277402 | ||||||||
\(554\) | 5.28625 | − | 11.5753i | 0.224591 | − | 0.491786i | ||||
\(555\) | −4.76837 | − | 1.40012i | −0.202406 | − | 0.0594318i | ||||
\(556\) | −4.04490 | − | 4.66806i | −0.171542 | − | 0.197970i | ||||
\(557\) | 20.6233 | − | 13.2538i | 0.873838 | − | 0.561581i | −0.0250867 | − | 0.999685i | \(-0.507986\pi\) |
0.898924 | + | 0.438104i | \(0.144350\pi\) | |||||||
\(558\) | −0.531208 | + | 0.613047i | −0.0224878 | + | 0.0259523i | ||||
\(559\) | 1.29140 | − | 8.98188i | 0.0546204 | − | 0.379893i | ||||
\(560\) | −0.0831194 | + | 0.0244061i | −0.00351244 | + | 0.00103134i | ||||
\(561\) | −0.00531075 | − | 0.00341301i | −0.000224220 | − | 0.000144097i | ||||
\(562\) | −4.17582 | − | 29.0435i | −0.176146 | − | 1.22512i | ||||
\(563\) | 15.9337 | + | 34.8900i | 0.671527 | + | 1.47044i | 0.871378 | + | 0.490612i | \(0.163227\pi\) |
−0.199851 | + | 0.979826i | \(0.564046\pi\) | |||||||
\(564\) | 2.91195 | + | 6.37628i | 0.122615 | + | 0.268490i | ||||
\(565\) | −0.205440 | − | 1.42887i | −0.00864293 | − | 0.0601129i | ||||
\(566\) | 7.73193 | + | 4.96901i | 0.324997 | + | 0.208863i | ||||
\(567\) | 0.0831194 | − | 0.0244061i | 0.00349069 | − | 0.00102496i | ||||
\(568\) | 1.68832 | − | 11.7425i | 0.0708402 | − | 0.492705i | ||||
\(569\) | −7.82197 | + | 9.02703i | −0.327914 | + | 0.378433i | −0.895636 | − | 0.444787i | \(-0.853279\pi\) |
0.567722 | + | 0.823220i | \(0.307825\pi\) | |||||||
\(570\) | 6.37415 | − | 4.09642i | 0.266984 | − | 0.171580i | ||||
\(571\) | 15.7995 | + | 18.2336i | 0.661190 | + | 0.763054i | 0.982971 | − | 0.183760i | \(-0.0588270\pi\) |
−0.321781 | + | 0.946814i | \(0.604282\pi\) | |||||||
\(572\) | −0.114352 | − | 0.0335769i | −0.00478131 | − | 0.00140392i | ||||
\(573\) | 8.18910 | − | 17.9316i | 0.342104 | − | 0.749104i | ||||
\(574\) | 0.213544 | 0.00891316 | ||||||||
\(575\) | 1.84693 | + | 4.42593i | 0.0770222 | + | 0.184574i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 14.6737 | − | 32.1309i | 0.610874 | − | 1.33763i | −0.311101 | − | 0.950377i | \(-0.600698\pi\) |
0.921975 | − | 0.387250i | \(-0.126575\pi\) | |||||||
\(578\) | −16.2817 | − | 4.78073i | −0.677228 | − | 0.198852i | ||||
\(579\) | −5.43135 | − | 6.26811i | −0.225719 | − | 0.260494i | ||||
\(580\) | −4.71597 | + | 3.03077i | −0.195820 | + | 0.125846i | ||||
\(581\) | 0.435752 | − | 0.502884i | 0.0180780 | − | 0.0208631i | ||||
\(582\) | 0.444417 | − | 3.09099i | 0.0184217 | − | 0.128126i | ||||
\(583\) | 0.170983 | − | 0.0502051i | 0.00708139 | − | 0.00207928i | ||||
\(584\) | −6.55427 | − | 4.21217i | −0.271218 | − | 0.174301i | ||||
\(585\) | −0.472833 | − | 3.28862i | −0.0195492 | − | 0.135968i | ||||
\(586\) | 0.208413 | + | 0.456361i | 0.00860947 | + | 0.0188521i | ||||
\(587\) | −14.1583 | − | 31.0024i | −0.584377 | − | 1.27961i | −0.938781 | − | 0.344514i | \(-0.888044\pi\) |
0.354404 | − | 0.935092i | \(-0.384684\pi\) | |||||||
\(588\) | −0.995136 | − | 6.92132i | −0.0410387 | − | 0.285431i | ||||
\(589\) | 5.17057 | + | 3.32292i | 0.213050 | + | 0.136919i | ||||
\(590\) | 4.39761 | − | 1.29126i | 0.181047 | − | 0.0531602i | ||||
\(591\) | −0.734007 | + | 5.10513i | −0.0301930 | + | 0.209997i | ||||
\(592\) | −3.25445 | + | 3.75583i | −0.133757 | + | 0.154364i | ||||
\(593\) | −25.9833 | + | 16.6985i | −1.06701 | + | 0.685724i | −0.951521 | − | 0.307585i | \(-0.900479\pi\) |
−0.115487 | + | 0.993309i | \(0.536843\pi\) | |||||||
\(594\) | 0.0234906 | + | 0.0271096i | 0.000963833 | + | 0.00111232i | ||||
\(595\) | 0.0146280 | + | 0.00429517i | 0.000599690 | + | 0.000176085i | ||||
\(596\) | 5.66207 | − | 12.3982i | 0.231927 | − | 0.507850i | ||||
\(597\) | 0.587599 | 0.0240488 | ||||||||
\(598\) | 13.6819 | − | 8.16658i | 0.559496 | − | 0.333956i | ||||
\(599\) | −14.1833 | −0.579513 | −0.289757 | − | 0.957100i | \(-0.593574\pi\) | ||||
−0.289757 | + | 0.957100i | \(0.593574\pi\) | |||||||
\(600\) | 0.415415 | − | 0.909632i | 0.0169592 | − | 0.0371356i | ||||
\(601\) | 42.1219 | + | 12.3681i | 1.71819 | + | 0.504506i | 0.984561 | − | 0.175044i | \(-0.0560069\pi\) |
0.733629 | + | 0.679550i | \(0.237825\pi\) | |||||||
\(602\) | −0.154940 | − | 0.178810i | −0.00631487 | − | 0.00728775i | ||||
\(603\) | 4.27606 | − | 2.74806i | 0.174135 | − | 0.111910i | ||||
\(604\) | −11.0075 | + | 12.7033i | −0.447887 | + | 0.516889i | ||||
\(605\) | −1.56528 | + | 10.8868i | −0.0636377 | + | 0.442610i | ||||
\(606\) | 10.5204 | − | 3.08907i | 0.427363 | − | 0.125485i | ||||
\(607\) | −18.6489 | − | 11.9849i | −0.756934 | − | 0.486452i | 0.104372 | − | 0.994538i | \(-0.466717\pi\) |
−0.861306 | + | 0.508087i | \(0.830353\pi\) | |||||||
\(608\) | −1.07832 | − | 7.49985i | −0.0437315 | − | 0.304159i | ||||
\(609\) | 0.201738 | + | 0.441744i | 0.00817483 | + | 0.0179004i | ||||
\(610\) | −0.146556 | − | 0.320913i | −0.00593388 | − | 0.0129934i | ||||
\(611\) | −3.31443 | − | 23.0524i | −0.134088 | − | 0.932599i | ||||
\(612\) | −0.148050 | − | 0.0951463i | −0.00598459 | − | 0.00384606i | ||||
\(613\) | −3.00138 | + | 0.881284i | −0.121225 | + | 0.0355947i | −0.341782 | − | 0.939779i | \(-0.611030\pi\) |
0.220558 | + | 0.975374i | \(0.429212\pi\) | |||||||
\(614\) | 0.461765 | − | 3.21165i | 0.0186353 | − | 0.129611i | ||||
\(615\) | −1.61427 | + | 1.86297i | −0.0650936 | + | 0.0751220i | ||||
\(616\) | −0.00261417 | + | 0.00168002i | −0.000105328 | + | 6.76901e-5i | ||||
\(617\) | 12.8298 | + | 14.8064i | 0.516510 | + | 0.596084i | 0.952754 | − | 0.303744i | \(-0.0982368\pi\) |
−0.436244 | + | 0.899829i | \(0.643691\pi\) | |||||||
\(618\) | −12.9969 | − | 3.81624i | −0.522813 | − | 0.153512i | ||||
\(619\) | −6.31691 | + | 13.8321i | −0.253898 | + | 0.555959i | −0.993065 | − | 0.117563i | \(-0.962492\pi\) |
0.739168 | + | 0.673522i | \(0.235219\pi\) | |||||||
\(620\) | 0.811177 | 0.0325777 | ||||||||
\(621\) | −4.79321 | − | 0.158572i | −0.192345 | − | 0.00636329i | ||||
\(622\) | 19.0024 | 0.761926 | ||||||||
\(623\) | 0.0414200 | − | 0.0906971i | 0.00165946 | − | 0.00363370i | ||||
\(624\) | −3.18786 | − | 0.936040i | −0.127616 | − | 0.0374716i | ||||
\(625\) | −0.654861 | − | 0.755750i | −0.0261944 | − | 0.0302300i | ||||
\(626\) | −9.67922 | + | 6.22046i | −0.386860 | + | 0.248620i | ||||
\(627\) | 0.177988 | − | 0.205409i | 0.00710815 | − | 0.00820325i | ||||
\(628\) | −1.26704 | + | 8.81247i | −0.0505605 | + | 0.351656i | ||||
\(629\) | 0.839176 | − | 0.246404i | 0.0334601 | − | 0.00982478i | ||||
\(630\) | −0.0728765 | − | 0.0468349i | −0.00290347 | − | 0.00186595i | ||||
\(631\) | 6.99693 | + | 48.6647i | 0.278543 | + | 1.93731i | 0.342868 | + | 0.939383i | \(0.388601\pi\) |
−0.0643250 | + | 0.997929i | \(0.520489\pi\) | |||||||
\(632\) | −3.12819 | − | 6.84978i | −0.124433 | − | 0.272470i | ||||
\(633\) | −6.31339 | − | 13.8244i | −0.250935 | − | 0.549470i | ||||
\(634\) | −1.10981 | − | 7.71889i | −0.0440761 | − | 0.306556i | ||||
\(635\) | −9.97728 | − | 6.41201i | −0.395936 | − | 0.254453i | ||||
\(636\) | 4.76658 | − | 1.39959i | 0.189007 | − | 0.0554975i | ||||
\(637\) | −3.30628 | + | 22.9957i | −0.131000 | + | 0.911122i | ||||
\(638\) | −0.131686 | + | 0.151974i | −0.00521349 | + | 0.00601669i | ||||
\(639\) | 9.98001 | − | 6.41376i | 0.394803 | − | 0.253724i | ||||
\(640\) | −0.654861 | − | 0.755750i | −0.0258856 | − | 0.0298736i | ||||
\(641\) | 18.8174 | + | 5.52528i | 0.743242 | + | 0.218236i | 0.631364 | − | 0.775486i | \(-0.282495\pi\) |
0.111878 | + | 0.993722i | \(0.464313\pi\) | |||||||
\(642\) | 2.70771 | − | 5.92906i | 0.106865 | − | 0.234001i | ||||
\(643\) | −2.60190 | −0.102609 | −0.0513045 | − | 0.998683i | \(-0.516338\pi\) | ||||
−0.0513045 | + | 0.998683i | \(0.516338\pi\) | |||||||
\(644\) | 0.0726902 | − | 0.409047i | 0.00286440 | − | 0.0161187i | ||||
\(645\) | 2.73120 | 0.107541 | ||||||||
\(646\) | −0.553938 | + | 1.21295i | −0.0217944 | + | 0.0477230i | ||||
\(647\) | 25.3360 | + | 7.43932i | 0.996060 | + | 0.292470i | 0.738838 | − | 0.673883i | \(-0.235375\pi\) |
0.257222 | + | 0.966352i | \(0.417193\pi\) | |||||||
\(648\) | 0.654861 | + | 0.755750i | 0.0257254 | + | 0.0296886i | ||||
\(649\) | 0.138308 | − | 0.0888853i | 0.00542907 | − | 0.00348905i | ||||
\(650\) | −2.17574 | + | 2.51093i | −0.0853394 | + | 0.0984869i | ||||
\(651\) | 0.0100006 | − | 0.0695558i | 0.000391955 | − | 0.00272611i | ||||
\(652\) | −19.1282 | + | 5.61653i | −0.749116 | + | 0.219960i | ||||
\(653\) | −21.7206 | − | 13.9590i | −0.849993 | − | 0.546257i | 0.0415796 | − | 0.999135i | \(-0.486761\pi\) |
−0.891573 | + | 0.452878i | \(0.850397\pi\) | |||||||
\(654\) | 0.932899 | + | 6.48846i | 0.0364792 | + | 0.253719i | ||||
\(655\) | 7.18473 | + | 15.7324i | 0.280731 | + | 0.614714i | ||||
\(656\) | 1.02402 | + | 2.24229i | 0.0399813 | + | 0.0875469i | ||||
\(657\) | −1.10879 | − | 7.71177i | −0.0432578 | − | 0.300865i | ||||
\(658\) | −0.510845 | − | 0.328300i | −0.0199148 | − | 0.0127985i | ||||
\(659\) | 22.4107 | − | 6.58038i | 0.872997 | − | 0.256335i | 0.185607 | − | 0.982624i | \(-0.440575\pi\) |
0.687390 | + | 0.726289i | \(0.258757\pi\) | |||||||
\(660\) | 0.00510500 | − | 0.0355061i | 0.000198712 | − | 0.00138207i | ||||
\(661\) | −11.3750 | + | 13.1274i | −0.442435 | + | 0.510597i | −0.932540 | − | 0.361066i | \(-0.882413\pi\) |
0.490105 | + | 0.871663i | \(0.336958\pi\) | |||||||
\(662\) | 14.9419 | − | 9.60258i | 0.580733 | − | 0.373215i | ||||
\(663\) | 0.382903 | + | 0.441894i | 0.0148707 | + | 0.0171617i | ||||
\(664\) | 7.37006 | + | 2.16404i | 0.286014 | + | 0.0839812i | ||||
\(665\) | −0.272671 | + | 0.597066i | −0.0105737 | + | 0.0231532i | ||||
\(666\) | −4.96968 | −0.192571 | ||||||||
\(667\) | −2.94414 | − | 26.7232i | −0.113997 | − | 1.03473i | ||||
\(668\) | −18.3437 | −0.709737 | ||||||||
\(669\) | −1.66812 | + | 3.65267i | −0.0644932 | + | 0.141220i | ||||
\(670\) | −4.87707 | − | 1.43204i | −0.188418 | − | 0.0553244i | ||||
\(671\) | −0.00828736 | − | 0.00956412i | −0.000319930 | − | 0.000369219i | ||||
\(672\) | −0.0728765 | + | 0.0468349i | −0.00281127 | + | 0.00180670i | ||||
\(673\) | 20.1631 | − | 23.2694i | 0.777230 | − | 0.896971i | −0.219676 | − | 0.975573i | \(-0.570500\pi\) |
0.996906 | + | 0.0786020i | \(0.0250456\pi\) | |||||||
\(674\) | 3.32202 | − | 23.1051i | 0.127959 | − | 0.889976i | ||||
\(675\) | 0.959493 | − | 0.281733i | 0.0369309 | − | 0.0108439i | ||||
\(676\) | −1.65002 | − | 1.06040i | −0.0634624 | − | 0.0407848i | ||||
\(677\) | 1.66649 | + | 11.5907i | 0.0640486 | + | 0.445468i | 0.996460 | + | 0.0840689i | \(0.0267916\pi\) |
−0.932411 | + | 0.361399i | \(0.882299\pi\) | |||||||
\(678\) | −0.599677 | − | 1.31311i | −0.0230304 | − | 0.0504296i | ||||
\(679\) | 0.112379 | + | 0.246075i | 0.00431269 | + | 0.00944348i | ||||
\(680\) | 0.0250457 | + | 0.174197i | 0.000960459 | + | 0.00668014i | ||||
\(681\) | 1.39002 | + | 0.893310i | 0.0532656 | + | 0.0342317i | ||||
\(682\) | 0.0279192 | − | 0.00819782i | 0.00106908 | − | 0.000313911i | ||||
\(683\) | 4.82065 | − | 33.5283i | 0.184457 | − | 1.28293i | −0.661609 | − | 0.749849i | \(-0.730126\pi\) |
0.846066 | − | 0.533078i | \(-0.178965\pi\) | |||||||
\(684\) | 4.96186 | − | 5.72629i | 0.189722 | − | 0.218950i | ||||
\(685\) | 6.09114 | − | 3.91454i | 0.232731 | − | 0.149567i | ||||
\(686\) | 0.793789 | + | 0.916081i | 0.0303070 | + | 0.0349761i | ||||
\(687\) | −8.57473 | − | 2.51777i | −0.327146 | − | 0.0960588i | ||||
\(688\) | 1.13458 | − | 2.48438i | 0.0432555 | − | 0.0947163i | ||||
\(689\) | −16.5053 | −0.628800 | ||||||||
\(690\) | 3.01904 | + | 3.72631i | 0.114933 | + | 0.141858i | ||||
\(691\) | 2.83905 | 0.108003 | 0.0540014 | − | 0.998541i | \(-0.482802\pi\) | ||||
0.0540014 | + | 0.998541i | \(0.482802\pi\) | |||||||
\(692\) | 4.47648 | − | 9.80212i | 0.170170 | − | 0.372621i | ||||
\(693\) | −0.00298159 | 0.000875475i | −0.000113261 | 3.32565e-5i | ||||||
\(694\) | 8.08564 | + | 9.33133i | 0.306927 | + | 0.354212i | ||||
\(695\) | −5.19620 | + | 3.33939i | −0.197103 | + | 0.126670i | ||||
\(696\) | −3.67108 | + | 4.23665i | −0.139152 | + | 0.160590i | ||||
\(697\) | 0.0617391 | − | 0.429405i | 0.00233853 | − | 0.0162649i | ||||
\(698\) | 3.69645 | − | 1.08538i | 0.139913 | − | 0.0410821i | ||||
\(699\) | 4.72474 | + | 3.03640i | 0.178706 | + | 0.114847i | ||||
\(700\) | 0.0123285 | + | 0.0857467i | 0.000465974 | + | 0.00324092i | ||||
\(701\) | 9.88951 | + | 21.6550i | 0.373522 | + | 0.817899i | 0.999282 | + | 0.0378833i | \(0.0120615\pi\) |
−0.625760 | + | 0.780015i | \(0.715211\pi\) | |||||||
\(702\) | −1.38019 | − | 3.02220i | −0.0520920 | − | 0.114066i | ||||
\(703\) | 5.35888 | + | 37.2718i | 0.202114 | + | 1.40573i | ||||
\(704\) | −0.0301768 | − | 0.0193934i | −0.00113733 | − | 0.000730918i | ||||
\(705\) | 6.72579 | − | 1.97487i | 0.253308 | − | 0.0743779i | ||||
\(706\) | 0.855823 | − | 5.95238i | 0.0322093 | − | 0.224021i | ||||
\(707\) | −0.622015 | + | 0.717844i | −0.0233933 | + | 0.0269973i | ||||
\(708\) | 3.85569 | − | 2.47790i | 0.144906 | − | 0.0931253i | ||||
\(709\) | 1.95607 | + | 2.25742i | 0.0734617 | + | 0.0847793i | 0.791291 | − | 0.611440i | \(-0.209409\pi\) |
−0.717829 | + | 0.696219i | \(0.754864\pi\) | |||||||
\(710\) | −11.3827 | − | 3.34227i | −0.427186 | − | 0.125433i | ||||
\(711\) | 3.12819 | − | 6.84978i | 0.117316 | − | 0.256887i | ||||
\(712\) | 1.15098 | 0.0431347 | ||||||||
\(713\) | −1.73220 | + | 3.48334i | −0.0648713 | + | 0.130452i | ||||
\(714\) | 0.0152456 | 0.000570551 | ||||||||
\(715\) | −0.0495091 | + | 0.108410i | −0.00185154 | + | 0.00405430i | ||||
\(716\) | −15.4706 | − | 4.54257i | −0.578163 | − | 0.169764i | ||||
\(717\) | −14.6263 | − | 16.8796i | −0.546229 | − | 0.630382i | ||||
\(718\) | −17.0360 | + | 10.9484i | −0.635778 | + | 0.408590i | ||||
\(719\) | 11.9165 | − | 13.7523i | 0.444409 | − | 0.512876i | −0.488708 | − | 0.872447i | \(-0.662532\pi\) |
0.933117 | + | 0.359572i | \(0.117077\pi\) | |||||||
\(720\) | 0.142315 | − | 0.989821i | 0.00530376 | − | 0.0368885i | ||||
\(721\) | 1.12590 | − | 0.330595i | 0.0419309 | − | 0.0123120i | ||||
\(722\) | −32.3130 | − | 20.7663i | −1.20256 | − | 0.772841i | ||||
\(723\) | 3.27988 | + | 22.8120i | 0.121980 | + | 0.848389i | ||||
\(724\) | −9.49877 | − | 20.7994i | −0.353019 | − | 0.773004i | ||||
\(725\) | 2.32877 | + | 5.09929i | 0.0864883 | + | 0.189383i | ||||
\(726\) | 1.56528 | + | 10.8868i | 0.0580930 | + | 0.404046i | ||||
\(727\) | −37.8147 | − | 24.3020i | −1.40247 | − | 0.901313i | −0.402569 | − | 0.915389i | \(-0.631883\pi\) |
−0.999901 | + | 0.0140764i | \(0.995519\pi\) | |||||||
\(728\) | 0.276159 | − | 0.0810877i | 0.0102351 | − | 0.00300531i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −5.10207 | + | 5.88810i | −0.188836 | + | 0.217928i | ||||
\(731\) | −0.404355 | + | 0.259863i | −0.0149556 | + | 0.00961139i | ||||
\(732\) | −0.231031 | − | 0.266624i | −0.00853915 | − | 0.00985470i | ||||
\(733\) | −12.6990 | − | 3.72875i | −0.469047 | − | 0.137725i | 0.0386637 | − | 0.999252i | \(-0.487690\pi\) |
−0.507711 | + | 0.861528i | \(0.669508\pi\) | |||||||
\(734\) | 5.14514 | − | 11.2663i | 0.189911 | − | 0.415846i | ||||
\(735\) | −6.99250 | −0.257922 | ||||||||
\(736\) | 4.64373 | − | 1.19825i | 0.171170 | − | 0.0441682i | ||||
\(737\) | −0.182332 | −0.00671629 | ||||||||
\(738\) | −1.02402 | + | 2.24229i | −0.0376948 | + | 0.0825400i | ||||
\(739\) | 33.8673 | + | 9.94434i | 1.24583 | + | 0.365809i | 0.837203 | − | 0.546893i | \(-0.184189\pi\) |
0.408627 | + | 0.912701i | \(0.366008\pi\) | |||||||
\(740\) | 3.25445 | + | 3.75583i | 0.119636 | + | 0.138067i | ||||
\(741\) | −21.1778 | + | 13.6101i | −0.777984 | + | 0.499980i | ||||
\(742\) | −0.281822 | + | 0.325240i | −0.0103460 | + | 0.0119399i | ||||
\(743\) | −5.11707 | + | 35.5900i | −0.187727 | + | 1.30567i | 0.650148 | + | 0.759808i | \(0.274707\pi\) |
−0.837875 | + | 0.545862i | \(0.816202\pi\) | |||||||
\(744\) | 0.778319 | − | 0.228535i | 0.0285345 | − | 0.00837850i | ||||
\(745\) | −11.4662 | − | 7.36889i | −0.420090 | − | 0.269975i | ||||
\(746\) | −1.93872 | − | 13.4841i | −0.0709815 | − | 0.493687i | ||||
\(747\) | 3.19089 | + | 6.98707i | 0.116748 | + | 0.255643i | ||||
\(748\) | 0.00262247 | + | 0.00574242i | 9.58871e−5 | + | 0.000209963i | ||||
\(749\) | 0.0803583 | + | 0.558904i | 0.00293623 | + | 0.0204219i | ||||
\(750\) | −0.841254 | − | 0.540641i | −0.0307182 | − | 0.0197414i | ||||
\(751\) | 14.0521 | − | 4.12606i | 0.512767 | − | 0.150562i | −0.0151050 | − | 0.999886i | \(-0.504808\pi\) |
0.527872 | + | 0.849324i | \(0.322990\pi\) | |||||||
\(752\) | 0.997589 | − | 6.93839i | 0.0363783 | − | 0.253017i | ||||
\(753\) | 13.8997 | − | 16.0411i | 0.506533 | − | 0.584571i | ||||
\(754\) | 15.6685 | − | 10.0696i | 0.570615 | − | 0.366712i | ||||
\(755\) | 11.0075 | + | 12.7033i | 0.400602 | + | 0.462320i | ||||
\(756\) | −0.0831194 | − | 0.0244061i | −0.00302302 | − | 0.000887640i | ||||
\(757\) | 18.0384 | − | 39.4985i | 0.655615 | − | 1.43560i | −0.230937 | − | 0.972969i | \(-0.574179\pi\) |
0.886552 | − | 0.462629i | \(-0.153094\pi\) | |||||||
\(758\) | −27.2654 | −0.990323 | ||||||||
\(759\) | 0.141568 | + | 0.0977420i | 0.00513861 | + | 0.00354781i | ||||
\(760\) | −7.57697 | −0.274846 | ||||||||
\(761\) | −7.98734 | + | 17.4898i | −0.289541 | + | 0.634006i | −0.997378 | − | 0.0723699i | \(-0.976944\pi\) |
0.707837 | + | 0.706376i | \(0.249671\pi\) | |||||||
\(762\) | −11.3796 | − | 3.34135i | −0.412239 | − | 0.121044i | ||||
\(763\) | −0.371873 | − | 0.429164i | −0.0134627 | − | 0.0155368i | ||||
\(764\) | −16.5837 | + | 10.6577i | −0.599976 | + | 0.385581i | ||||
\(765\) | −0.115248 | + | 0.133003i | −0.00416679 | + | 0.00480873i | ||||
\(766\) | −0.820656 | + | 5.70779i | −0.0296515 | + | 0.206231i | ||||
\(767\) | −14.6108 | + | 4.29012i | −0.527566 | + | 0.154907i | ||||
\(768\) | −0.841254 | − | 0.540641i | −0.0303561 | − | 0.0195087i | ||||
\(769\) | −5.11457 | − | 35.5726i | −0.184436 | − | 1.28278i | −0.846117 | − | 0.532996i | \(-0.821066\pi\) |
0.661681 | − | 0.749785i | \(-0.269843\pi\) | |||||||
\(770\) | 0.00129089 | + | 0.00282665i | 4.65204e−5 | + | 0.000101865i | ||||
\(771\) | 7.07258 | + | 15.4868i | 0.254713 | + | 0.557743i | ||||
\(772\) | 1.18035 | + | 8.20948i | 0.0424816 | + | 0.295466i | ||||
\(773\) | 28.9356 | + | 18.5958i | 1.04074 | + | 0.668844i | 0.945170 | − | 0.326578i | \(-0.105896\pi\) |
0.0955718 | + | 0.995423i | \(0.469532\pi\) | |||||||
\(774\) | 2.62056 | − | 0.769467i | 0.0941942 | − | 0.0276579i | ||||
\(775\) | 0.115443 | − | 0.802920i | 0.00414682 | − | 0.0288418i | ||||
\(776\) | −2.04498 | + | 2.36003i | −0.0734105 | + | 0.0847203i | ||||
\(777\) | 0.362173 | − | 0.232754i | 0.0129929 | − | 0.00835002i | ||||
\(778\) | −16.7724 | − | 19.3564i | −0.601321 | − | 0.693962i | ||||
\(779\) | 17.9211 | + | 5.26211i | 0.642090 | + | 0.188535i | ||||
\(780\) | −1.38019 | + | 3.02220i | −0.0494188 | + | 0.108212i | ||||
\(781\) | −0.425549 | −0.0152274 | ||||||||
\(782\) | −0.801515 | − | 0.264431i | −0.0286621 | − | 0.00945604i | ||||
\(783\) | −5.60589 | −0.200338 | ||||||||
\(784\) | −2.90479 | + | 6.36060i | −0.103742 | + | 0.227164i | ||||
\(785\) | 8.54245 | + | 2.50829i | 0.304893 | + | 0.0895247i | ||||
\(786\) | 11.3260 | + | 13.0709i | 0.403985 | + | 0.466224i | ||||
\(787\) | −37.6255 | + | 24.1804i | −1.34120 | + | 0.861939i | −0.997034 | − | 0.0769681i | \(-0.975476\pi\) |
−0.344170 | + | 0.938907i | \(0.611840\pi\) | |||||||
\(788\) | 3.37753 | − | 3.89788i | 0.120319 | − | 0.138856i | ||||
\(789\) | −0.732384 | + | 5.09384i | −0.0260736 | + | 0.181346i | ||||
\(790\) | −7.22524 | + | 2.12152i | −0.257063 | + | 0.0754804i | ||||
\(791\) | 0.105202 | + | 0.0676090i | 0.00374054 | + | 0.00240390i | ||||
\(792\) | −0.00510500 | − | 0.0355061i | −0.000181398 | − | 0.00126165i | ||||
\(793\) | 0.486923 | + | 1.06621i | 0.0172912 | + | 0.0378624i | ||||
\(794\) | −10.5495 | − | 23.1001i | −0.374386 | − | 0.819791i | ||||
\(795\) | −0.706993 | − | 4.91724i | −0.0250745 | − | 0.174397i | ||||
\(796\) | −0.494320 | − | 0.317680i | −0.0175207 | − | 0.0112599i | ||||
\(797\) | 49.2370 | − | 14.4573i | 1.74406 | − | 0.512103i | 0.754512 | − | 0.656286i | \(-0.227874\pi\) |
0.989551 | + | 0.144183i | \(0.0460554\pi\) | |||||||
\(798\) | −0.0934128 | + | 0.649701i | −0.00330678 | + | 0.0229992i | ||||
\(799\) | −0.807855 | + | 0.932314i | −0.0285799 | + | 0.0329829i | ||||
\(800\) | −0.841254 | + | 0.540641i | −0.0297428 | + | 0.0191145i | ||||
\(801\) | 0.753730 | + | 0.869851i | 0.0266318 | + | 0.0307347i | ||||
\(802\) | 14.6036 | + | 4.28799i | 0.515670 | + | 0.151414i | ||||
\(803\) | −0.116098 | + | 0.254220i | −0.00409702 | + | 0.00897121i | ||||
\(804\) | −5.08297 | −0.179262 | ||||||||
\(805\) | −0.394539 | − | 0.130164i | −0.0139057 | − | 0.00458767i | ||||
\(806\) | −2.69509 | −0.0949304 | ||||||||
\(807\) | 2.88893 | − | 6.32588i | 0.101695 | − | 0.222682i | ||||
\(808\) | −10.5204 | − | 3.08907i | −0.370107 | − | 0.108673i | ||||
\(809\) | 3.53447 | + | 4.07900i | 0.124265 | + | 0.143410i | 0.814473 | − | 0.580202i | \(-0.197026\pi\) |
−0.690207 | + | 0.723612i | \(0.742481\pi\) | |||||||
\(810\) | 0.841254 | − | 0.540641i | 0.0295586 | − | 0.0189962i | ||||
\(811\) | 24.4600 | − | 28.2283i | 0.858907 | − | 0.991231i | −0.141092 | − | 0.989996i | \(-0.545061\pi\) |
0.999999 | − | 0.00123490i | \(-0.000393080\pi\) | |||||||
\(812\) | 0.0691123 | − | 0.480687i | 0.00242537 | − | 0.0168688i | ||||
\(813\) | −25.6421 | + | 7.52921i | −0.899309 | + | 0.264061i | ||||
\(814\) | 0.149969 | + | 0.0963791i | 0.00525641 | + | 0.00337809i | ||||
\(815\) | 2.83714 | + | 19.7328i | 0.0993808 | + | 0.691209i | ||||
\(816\) | 0.0731080 | + | 0.160084i | 0.00255929 | + | 0.00560407i | ||||
\(817\) | −8.59668 | − | 18.8241i | −0.300760 | − | 0.658572i | ||||
\(818\) | 3.33311 | + | 23.1823i | 0.116540 | + | 0.810551i | ||||
\(819\) | 0.242128 | + | 0.155606i | 0.00846064 | + | 0.00543732i | ||||
\(820\) | 2.36520 | − | 0.694487i | 0.0825965 | − | 0.0242525i | ||||
\(821\) | 0.930226 | − | 6.46986i | 0.0324651 | − | 0.225800i | −0.967129 | − | 0.254286i | \(-0.918160\pi\) |
0.999594 | + | 0.0284862i | \(0.00906867\pi\) | |||||||
\(822\) | 4.74155 | − | 5.47205i | 0.165381 | − | 0.190860i | ||||
\(823\) | 29.7428 | − | 19.1145i | 1.03677 | − | 0.666291i | 0.0925829 | − | 0.995705i | \(-0.470488\pi\) |
0.944185 | + | 0.329414i | \(0.106851\pi\) | |||||||
\(824\) | 8.87049 | + | 10.2371i | 0.309018 | + | 0.356626i | ||||
\(825\) | −0.0344182 | − | 0.0101061i | −0.00119829 | − | 0.000351849i | ||||
\(826\) | −0.164937 | + | 0.361162i | −0.00573889 | + | 0.0125664i | ||||
\(827\) | 34.5074 | 1.19994 | 0.599970 | − | 0.800022i | \(-0.295179\pi\) | ||||
0.599970 | + | 0.800022i | \(0.295179\pi\) | |||||||
\(828\) | 3.94657 | + | 2.72480i | 0.137153 | + | 0.0946935i | ||||
\(829\) | −46.4115 | −1.61194 | −0.805969 | − | 0.591958i | \(-0.798355\pi\) | ||||
−0.805969 | + | 0.591958i | \(0.798355\pi\) | |||||||
\(830\) | 3.19089 | − | 6.98707i | 0.110757 | − | 0.242525i | ||||
\(831\) | −12.2098 | − | 3.58511i | −0.423552 | − | 0.124366i | ||||
\(832\) | 2.17574 | + | 2.51093i | 0.0754301 | + | 0.0870510i | ||||
\(833\) | 1.03524 | − | 0.665310i | 0.0358690 | − | 0.0230516i | ||||
\(834\) | −4.04490 | + | 4.66806i | −0.140063 | + | 0.161642i | ||||
\(835\) | −2.61057 | + | 18.1569i | −0.0903427 | + | 0.628347i | ||||
\(836\) | −0.260785 | + | 0.0765735i | −0.00901945 | + | 0.00264835i | ||||
\(837\) | 0.682405 | + | 0.438555i | 0.0235874 | + | 0.0151587i | ||||
\(838\) | 5.05481 | + | 35.1570i | 0.174615 | + | 1.21448i | ||||
\(839\) | −7.33861 | − | 16.0693i | −0.253357 | − | 0.554774i | 0.739628 | − | 0.673016i | \(-0.235001\pi\) |
−0.992985 | + | 0.118242i | \(0.962274\pi\) | |||||||
\(840\) | 0.0359868 | + | 0.0788000i | 0.00124166 | + | 0.00271886i | ||||
\(841\) | −0.345253 | − | 2.40128i | −0.0119053 | − | 0.0828029i | ||||
\(842\) | −6.05687 | − | 3.89251i | −0.208734 | − | 0.134145i | ||||
\(843\) | −28.1535 | + | 8.26663i | −0.969660 | + | 0.284718i | ||||
\(844\) | −2.16287 | + | 15.0431i | −0.0744491 | + | 0.517805i | ||||
\(845\) | −1.28443 | + | 1.48232i | −0.0441859 | + | 0.0509932i | ||||
\(846\) | 5.89696 | − | 3.78975i | 0.202742 | − | 0.130294i | ||||
\(847\) | −0.623953 | − | 0.720080i | −0.0214393 | − | 0.0247422i | ||||
\(848\) | −4.76658 | − | 1.39959i | −0.163685 | − | 0.0480622i | ||||
\(849\) | 3.81806 | − | 8.36039i | 0.131036 | − | 0.286928i | ||||
\(850\) | 0.175988 | 0.00603634 | ||||||||
\(851\) | −23.0778 | + | 5.95494i | −0.791098 | + | 0.204133i | ||||
\(852\) | −11.8633 | −0.406428 | ||||||||
\(853\) | 21.8336 | − | 47.8090i | 0.747569 | − | 1.63695i | −0.0231164 | − | 0.999733i | \(-0.507359\pi\) |
0.770686 | − | 0.637216i | \(-0.219914\pi\) | |||||||
\(854\) | 0.0293240 | + | 0.00861031i | 0.00100345 | + | 0.000294639i | ||||
\(855\) | −4.96186 | − | 5.72629i | −0.169692 | − | 0.195835i | ||||
\(856\) | −5.48336 | + | 3.52394i | −0.187417 | + | 0.120446i | ||||
\(857\) | −8.89533 | + | 10.2658i | −0.303859 | + | 0.350671i | −0.887058 | − | 0.461657i | \(-0.847255\pi\) |
0.583200 | + | 0.812329i | \(0.301800\pi\) | |||||||
\(858\) | −0.0169611 | + | 0.117967i | −0.000579042 | + | 0.00402732i | ||||
\(859\) | −48.6880 | + | 14.2961i | −1.66121 | + | 0.487776i | −0.971645 | − | 0.236445i | \(-0.924018\pi\) |
−0.689568 | + | 0.724221i | \(0.742200\pi\) | |||||||
\(860\) | −2.29763 | − | 1.47660i | −0.0783485 | − | 0.0503515i | ||||
\(861\) | −0.0303905 | − | 0.211371i | −0.00103571 | − | 0.00720349i | ||||
\(862\) | −4.76803 | − | 10.4405i | −0.162400 | − | 0.355606i | ||||
\(863\) | 0.330016 | + | 0.722634i | 0.0112339 | + | 0.0245988i | 0.915166 | − | 0.403078i | \(-0.132060\pi\) |
−0.903932 | + | 0.427676i | \(0.859332\pi\) | |||||||
\(864\) | −0.142315 | − | 0.989821i | −0.00484165 | − | 0.0336744i | ||||
\(865\) | −9.06528 | − | 5.82590i | −0.308229 | − | 0.198087i | ||||
\(866\) | 31.3004 | − | 9.19062i | 1.06363 | − | 0.312310i | ||||
\(867\) | −2.41494 | + | 16.7963i | −0.0820158 | + | 0.570433i | ||||
\(868\) | −0.0460177 | + | 0.0531073i | −0.00156194 | + | 0.00180258i | ||||
\(869\) | −0.227239 | + | 0.146038i | −0.00770857 | + | 0.00495400i | ||||
\(870\) | 3.67108 | + | 4.23665i | 0.124461 | + | 0.143636i | ||||
\(871\) | 16.2038 | + | 4.75786i | 0.549044 | + | 0.161214i | ||||
\(872\) | 2.72312 | − | 5.96280i | 0.0922165 | − | 0.201926i | ||||
\(873\) | −3.12277 | −0.105690 | ||||||||
\(874\) | 16.1800 | − | 32.5369i | 0.547296 | − | 1.10058i | ||||
\(875\) | 0.0866285 | 0.00292858 | ||||||||
\(876\) | −3.23653 | + | 7.08701i | −0.109352 | + | 0.239448i | ||||
\(877\) | 9.77623 | + | 2.87056i | 0.330120 | + | 0.0969319i | 0.442592 | − | 0.896723i | \(-0.354059\pi\) |
−0.112473 | + | 0.993655i | \(0.535877\pi\) | |||||||
\(878\) | 4.23955 | + | 4.89270i | 0.143078 | + | 0.165121i | ||||
\(879\) | 0.422056 | − | 0.271239i | 0.0142356 | − | 0.00914866i | ||||
\(880\) | −0.0234906 | + | 0.0271096i | −0.000791869 | + | 0.000913866i | ||||
\(881\) | −2.25799 | + | 15.7047i | −0.0760736 | + | 0.529104i | 0.915776 | + | 0.401689i | \(0.131577\pi\) |
−0.991850 | + | 0.127414i | \(0.959332\pi\) | |||||||
\(882\) | −6.70925 | + | 1.97001i | −0.225912 | + | 0.0663338i | ||||
\(883\) | 7.39653 | + | 4.75346i | 0.248913 | + | 0.159967i | 0.659148 | − | 0.752013i | \(-0.270917\pi\) |
−0.410235 | + | 0.911980i | \(0.634553\pi\) | |||||||
\(884\) | −0.0832129 | − | 0.578758i | −0.00279875 | − | 0.0194657i | ||||
\(885\) | −1.90396 | − | 4.16909i | −0.0640009 | − | 0.140142i | ||||
\(886\) | −9.24470 | − | 20.2431i | −0.310582 | − | 0.680079i | ||||
\(887\) | 0.970794 | + | 6.75202i | 0.0325961 | + | 0.226711i | 0.999607 | − | 0.0280232i | \(-0.00892121\pi\) |
−0.967011 | + | 0.254734i | \(0.918012\pi\) | |||||||
\(888\) | 4.18076 | + | 2.68681i | 0.140297 | + | 0.0901635i | ||||
\(889\) | 0.985798 | − | 0.289456i | 0.0330626 | − | 0.00970805i | ||||
\(890\) | 0.163801 | − | 1.13926i | 0.00549063 | − | 0.0381882i | ||||
\(891\) | 0.0234906 | − | 0.0271096i | 0.000786966 | − | 0.000908207i | ||||
\(892\) | 3.37809 | − | 2.17097i | 0.113107 | − | 0.0726894i | ||||
\(893\) | −34.7813 | − | 40.1398i | −1.16391 | − | 1.34323i | ||||
\(894\) | −13.0778 | − | 3.83999i | −0.437387 | − | 0.128429i | ||||
\(895\) | −6.69803 | + | 14.6666i | −0.223890 | + | 0.490252i | ||||
\(896\) | 0.0866285 | 0.00289405 | ||||||||
\(897\) | −10.0306 | − | 12.3804i | −0.334912 | − | 0.413371i | ||||
\(898\) | 4.41793 | 0.147428 | ||||||||
\(899\) | −1.88904 | + | 4.13643i | −0.0630032 | + | 0.137958i | ||||
\(900\) | −0.959493 | − | 0.281733i | −0.0319831 | − | 0.00939109i | ||||
\(901\) | 0.572528 | + | 0.660733i | 0.0190737 | + | 0.0220122i | ||||
\(902\) | 0.0743875 | − | 0.0478059i | 0.00247683 | − | 0.00159176i | ||||
\(903\) | −0.154940 | + | 0.178810i | −0.00515607 | + | 0.00595042i | ||||
\(904\) | −0.205440 | + | 1.42887i | −0.00683284 | + | 0.0475234i | ||||
\(905\) | −21.9395 | + | 6.44202i | −0.729294 | + | 0.214140i | ||||
\(906\) | 14.1405 | + | 9.08755i | 0.469787 | + | 0.301914i | ||||
\(907\) | −3.77328 | − | 26.2437i | −0.125290 | − | 0.871409i | −0.951413 | − | 0.307919i | \(-0.900367\pi\) |
0.826123 | − | 0.563490i | \(-0.190542\pi\) | |||||||
\(908\) | −0.686397 | − | 1.50300i | −0.0227789 | − | 0.0498788i | ||||
\(909\) | −4.55484 | − | 9.97371i | −0.151075 | − | 0.330807i | ||||
\(910\) | −0.0409608 | − | 0.284889i | −0.00135784 | − | 0.00944396i | ||||
\(911\) | 7.61395 | + | 4.89319i | 0.252261 | + | 0.162119i | 0.660660 | − | 0.750685i | \(-0.270276\pi\) |
−0.408399 | + | 0.912804i | \(0.633913\pi\) | |||||||
\(912\) | −7.27005 | + | 2.13468i | −0.240735 | + | 0.0706863i | ||||
\(913\) | 0.0392126 | − | 0.272729i | 0.00129775 | − | 0.00902603i | ||||
\(914\) | 2.81900 | − | 3.25330i | 0.0932443 | − | 0.107610i | ||||
\(915\) | −0.296789 | + | 0.190735i | −0.00981155 | + | 0.00630550i | ||||
\(916\) | 5.85231 | + | 6.75393i | 0.193366 | + | 0.223156i | ||||
\(917\) | −1.43758 | − | 0.422110i | −0.0474729 | − | 0.0139393i | ||||
\(918\) | −0.0731080 | + | 0.160084i | −0.00241292 | + | 0.00528357i | ||||
\(919\) | −40.9287 | −1.35011 | −0.675056 | − | 0.737766i | \(-0.735881\pi\) | ||||
−0.675056 | + | 0.737766i | \(0.735881\pi\) | |||||||
\(920\) | −0.525186 | − | 4.76699i | −0.0173149 | − | 0.157163i | ||||
\(921\) | −3.24467 | −0.106916 | ||||||||
\(922\) | −5.03661 | + | 11.0286i | −0.165872 | + | 0.363209i | ||||
\(923\) | 37.8184 | + | 11.1045i | 1.24481 | + | 0.365508i | ||||
\(924\) | 0.00203496 | + | 0.00234847i | 6.69452e−5 | + | 7.72589e-5i | ||||
\(925\) | 4.18076 | − | 2.68681i | 0.137463 | − | 0.0883418i | ||||
\(926\) | 4.39239 | − | 5.06909i | 0.144343 | − | 0.166581i | ||||
\(927\) | −1.92774 | + | 13.4077i | −0.0633154 | + | 0.440368i | ||||
\(928\) | 5.37881 | − | 1.57936i | 0.176568 | − | 0.0518451i | ||||
\(929\) | −16.6088 | − | 10.6738i | −0.544918 | − | 0.350197i | 0.239042 | − | 0.971009i | \(-0.423167\pi\) |
−0.783960 | + | 0.620812i | \(0.786803\pi\) | |||||||
\(930\) | −0.115443 | − | 0.802920i | −0.00378551 | − | 0.0263288i | ||||
\(931\) | 22.0095 | + | 48.1941i | 0.721332 | + | 1.57950i | ||||
\(932\) | −2.33310 | − | 5.10877i | −0.0764232 | − | 0.167343i | ||||
\(933\) | −2.70432 | − | 18.8090i | −0.0885354 | − | 0.615777i | ||||
\(934\) | 30.6020 | + | 19.6667i | 1.00133 | + | 0.643515i | ||||
\(935\) | 0.00605718 | − | 0.00177855i | 0.000198091 | − | 5.81648e-5i | ||||
\(936\) | −0.472833 | + | 3.28862i | −0.0154550 | + | 0.107492i | ||||
\(937\) | 9.94618 | − | 11.4785i | 0.324928 | − | 0.374986i | −0.569659 | − | 0.821881i | \(-0.692925\pi\) |
0.894587 | + | 0.446895i | \(0.147470\pi\) | |||||||
\(938\) | 0.370429 | − | 0.238060i | 0.0120949 | − | 0.00777294i | ||||
\(939\) | 7.53464 | + | 8.69544i | 0.245884 | + | 0.283765i | ||||
\(940\) | −6.72579 | − | 1.97487i | −0.219371 | − | 0.0644132i | ||||
\(941\) | −6.55088 | + | 14.3444i | −0.213553 | + | 0.467615i | −0.985847 | − | 0.167650i | \(-0.946382\pi\) |
0.772294 | + | 0.635265i | \(0.219109\pi\) | |||||||
\(942\) | 8.90309 | 0.290078 | ||||||||
\(943\) | −2.06844 | + | 11.6396i | −0.0673576 | + | 0.379039i | ||||
\(944\) | −4.58327 | −0.149173 | ||||||||
\(945\) | −0.0359868 | + | 0.0788000i | −0.00117065 | + | 0.00256337i | ||||
\(946\) | −0.0940028 | − | 0.0276017i | −0.00305629 | − | 0.000897409i | ||||
\(947\) | 23.1983 | + | 26.7722i | 0.753842 | + | 0.869980i | 0.994935 | − | 0.100522i | \(-0.0320512\pi\) |
−0.241093 | + | 0.970502i | \(0.577506\pi\) | |||||||
\(948\) | −6.33487 | + | 4.07117i | −0.205747 | + | 0.132226i | ||||
\(949\) | 16.9513 | − | 19.5629i | 0.550263 | − | 0.635038i | ||||
\(950\) | −1.07832 | + | 7.49985i | −0.0349852 | + | 0.243327i | ||||
\(951\) | −7.48238 | + | 2.19702i | −0.242633 | + | 0.0712434i | ||||
\(952\) | −0.0128254 | − | 0.00824238i | −0.000415673 | − | 0.000267137i | ||||
\(953\) | 6.55653 | + | 45.6017i | 0.212387 | + | 1.47718i | 0.765154 | + | 0.643847i | \(0.222663\pi\) |
−0.552767 | + | 0.833336i | \(0.686428\pi\) | |||||||
\(954\) | −2.06370 | − | 4.51888i | −0.0668148 | − | 0.146304i | ||||
\(955\) | 8.18910 | + | 17.9316i | 0.264993 | + | 0.580254i | ||||
\(956\) | 3.17860 | + | 22.1076i | 0.102803 | + | 0.715012i | ||||
\(957\) | 0.169168 | + | 0.108717i | 0.00546841 | + | 0.00351434i | ||||
\(958\) | 8.47924 | − | 2.48973i | 0.273952 | − | 0.0804395i | ||||
\(959\) | −0.0892653 | + | 0.620854i | −0.00288253 | + | 0.0200484i | ||||
\(960\) | −0.654861 | + | 0.755750i | −0.0211355 | + | 0.0243917i | ||||
\(961\) | −25.5253 | + | 16.4041i | −0.823397 | + | 0.529165i | ||||
\(962\) | −10.8127 | − | 12.4785i | −0.348616 | − | 0.402324i | ||||
\(963\) | −6.25406 | − | 1.83636i | −0.201534 | − | 0.0591758i | ||||
\(964\) | 9.57391 | − | 20.9639i | 0.308355 | − | 0.675203i | ||||
\(965\) | 8.29390 | 0.266990 | ||||||||
\(966\) | −0.415228 | − | 0.0137369i | −0.0133598 | − | 0.000441977i | ||||
\(967\) | 33.6239 | 1.08127 | 0.540637 | − | 0.841256i | \(-0.318183\pi\) | ||||
0.540637 | + | 0.841256i | \(0.318183\pi\) | |||||||
\(968\) | 4.56903 | − | 10.0048i | 0.146854 | − | 0.321566i | ||||
\(969\) | 1.27944 | + | 0.375678i | 0.0411016 | + | 0.0120685i | ||||
\(970\) | 2.04498 | + | 2.36003i | 0.0656604 | + | 0.0757761i | ||||
\(971\) | 8.47124 | − | 5.44413i | 0.271855 | − | 0.174711i | −0.397609 | − | 0.917555i | \(-0.630160\pi\) |
0.669464 | + | 0.742844i | \(0.266524\pi\) | |||||||
\(972\) | 0.654861 | − | 0.755750i | 0.0210047 | − | 0.0242407i | ||||
\(973\) | 0.0761500 | − | 0.529635i | 0.00244126 | − | 0.0169793i | ||||
\(974\) | 15.7539 | − | 4.62577i | 0.504789 | − | 0.148219i | ||||
\(975\) | 2.79502 | + | 1.79625i | 0.0895121 | + | 0.0575260i | ||||
\(976\) | 0.0502078 | + | 0.349203i | 0.00160711 | + | 0.0111777i | ||||
\(977\) | 6.10904 | + | 13.3769i | 0.195446 | + | 0.427966i | 0.981828 | − | 0.189774i | \(-0.0607756\pi\) |
−0.786382 | + | 0.617740i | \(0.788048\pi\) | |||||||
\(978\) | 8.28159 | + | 18.1341i | 0.264816 | + | 0.579866i | ||||
\(979\) | −0.00587575 | − | 0.0408667i | −0.000187790 | − | 0.00130611i | ||||
\(980\) | 5.88246 | + | 3.78043i | 0.187908 | + | 0.120761i | ||||
\(981\) | 6.28965 | − | 1.84681i | 0.200813 | − | 0.0589640i | ||||
\(982\) | −1.48086 | + | 10.2996i | −0.0472560 | + | 0.328673i | ||||
\(983\) | −31.5092 | + | 36.3636i | −1.00499 | + | 1.15982i | −0.0178669 | + | 0.999840i | \(0.505688\pi\) |
−0.987121 | + | 0.159977i | \(0.948858\pi\) | |||||||
\(984\) | 2.07374 | − | 1.33271i | 0.0661084 | − | 0.0424853i | ||||
\(985\) | −3.37753 | − | 3.89788i | −0.107617 | − | 0.124197i | ||||
\(986\) | −0.946606 | − | 0.277949i | −0.0301461 | − | 0.00885168i | ||||
\(987\) | −0.252258 | + | 0.552367i | −0.00802945 | + | 0.0175820i | ||||
\(988\) | 25.1740 | 0.800893 | ||||||||
\(989\) | 11.2472 | − | 6.71330i | 0.357639 | − | 0.213470i | ||||
\(990\) | −0.0358712 | −0.00114006 | ||||||||
\(991\) | 7.22123 | − | 15.8123i | 0.229390 | − | 0.502294i | −0.759579 | − | 0.650415i | \(-0.774595\pi\) |
0.988969 | + | 0.148121i | \(0.0473224\pi\) | |||||||
\(992\) | −0.778319 | − | 0.228535i | −0.0247116 | − | 0.00725599i | ||||
\(993\) | −11.6313 | − | 13.4232i | −0.369108 | − | 0.425973i | ||||
\(994\) | 0.864553 | − | 0.555614i | 0.0274220 | − | 0.0176230i | ||||
\(995\) | −0.384796 | + | 0.444078i | −0.0121988 | + | 0.0140782i | ||||
\(996\) | 1.09315 | − | 7.60302i | 0.0346378 | − | 0.240911i | ||||
\(997\) | 54.0875 | − | 15.8815i | 1.71297 | − | 0.502973i | 0.729488 | − | 0.683993i | \(-0.239758\pi\) |
0.983479 | + | 0.181021i | \(0.0579401\pi\) | |||||||
\(998\) | −9.38822 | − | 6.03344i | −0.297179 | − | 0.190985i | ||||
\(999\) | 0.707259 | + | 4.91909i | 0.0223767 | + | 0.155633i |
(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 | 690.2.m.f.121.1 | ✓ | 20 | |
23.4 | even | 11 | inner | 690.2.m.f.211.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.f.121.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.f.211.1 | yes | 20 | 23.4 | even | 11 | inner |