Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 5 x^{14} - 8 x^{13} + 47 x^{12} + 32 x^{11} + 171 x^{10} + 26 x^{9} + 360 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 361.4 | ||
Root | \(2.46673 + 1.79218i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.361 |
Dual form | 495.2.n.h.181.4 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.633189 | − | 1.94876i | 0.447733 | − | 1.37798i | −0.431726 | − | 0.902005i | \(-0.642095\pi\) |
0.879459 | − | 0.475975i | \(-0.157905\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.77869 | − | 1.29229i | −0.889345 | − | 0.646147i | ||||
\(5\) | −0.309017 | − | 0.951057i | −0.138197 | − | 0.425325i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.477268 | + | 0.346756i | 0.180390 | + | 0.131061i | 0.674316 | − | 0.738443i | \(-0.264439\pi\) |
−0.493926 | + | 0.869504i | \(0.664439\pi\) | |||||||
\(8\) | −0.329192 | + | 0.239172i | −0.116387 | + | 0.0845600i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.04904 | −0.647965 | ||||||||
\(11\) | 0.933738 | − | 3.18247i | 0.281533 | − | 0.959552i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.465044 | − | 1.43126i | 0.128980 | − | 0.396960i | −0.865625 | − | 0.500693i | \(-0.833079\pi\) |
0.994605 | + | 0.103733i | \(0.0330787\pi\) | |||||||
\(14\) | 0.977943 | − | 0.710517i | 0.261366 | − | 0.189894i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.10115 | − | 3.38900i | −0.275288 | − | 0.847249i | ||||
\(17\) | −1.52036 | − | 4.67919i | −0.368742 | − | 1.13487i | −0.947604 | − | 0.319446i | \(-0.896503\pi\) |
0.578862 | − | 0.815425i | \(-0.303497\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.51798 | + | 4.00905i | −1.26591 | + | 0.919739i | −0.999032 | − | 0.0439914i | \(-0.985993\pi\) |
−0.266880 | + | 0.963730i | \(0.585993\pi\) | |||||||
\(20\) | −0.679399 | + | 2.09098i | −0.151918 | + | 0.467556i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.61063 | − | 3.83474i | −1.19619 | − | 0.817569i | ||||
\(23\) | 0.0822934 | 0.0171594 | 0.00857968 | − | 0.999963i | \(-0.497269\pi\) | ||||
0.00857968 | + | 0.999963i | \(0.497269\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | −2.49471 | − | 1.81252i | −0.489253 | − | 0.355463i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.400802 | − | 1.23354i | −0.0757444 | − | 0.233117i | ||||
\(29\) | 6.81551 | + | 4.95175i | 1.26561 | + | 0.919518i | 0.999019 | − | 0.0442926i | \(-0.0141034\pi\) |
0.266589 | + | 0.963810i | \(0.414103\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.611585 | + | 1.88227i | −0.109844 | + | 0.338065i | −0.990837 | − | 0.135065i | \(-0.956876\pi\) |
0.880993 | + | 0.473130i | \(0.156876\pi\) | |||||||
\(32\) | −8.11537 | −1.43461 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −10.0813 | −1.72893 | ||||||||
\(35\) | 0.182300 | − | 0.561062i | 0.0308144 | − | 0.0948368i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.89625 | + | 2.10425i | 0.476141 | + | 0.345937i | 0.799830 | − | 0.600227i | \(-0.204923\pi\) |
−0.323689 | + | 0.946164i | \(0.604923\pi\) | |||||||
\(38\) | 4.31873 | + | 13.2917i | 0.700591 | + | 2.15620i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.329192 | + | 0.239172i | 0.0520498 | + | 0.0378164i | ||||
\(41\) | 3.29530 | − | 2.39417i | 0.514639 | − | 0.373907i | −0.299942 | − | 0.953958i | \(-0.596967\pi\) |
0.814581 | + | 0.580050i | \(0.196967\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.86148 | 0.741369 | 0.370685 | − | 0.928759i | \(-0.379123\pi\) | ||||
0.370685 | + | 0.928759i | \(0.379123\pi\) | |||||||
\(44\) | −5.77352 | + | 4.45397i | −0.870391 | + | 0.671461i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0521073 | − | 0.160370i | 0.00768280 | − | 0.0236452i | ||||
\(47\) | 4.67492 | − | 3.39653i | 0.681908 | − | 0.495435i | −0.192082 | − | 0.981379i | \(-0.561524\pi\) |
0.873990 | + | 0.485944i | \(0.161524\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.05557 | − | 6.32640i | −0.293653 | − | 0.903772i | ||||
\(50\) | 0.633189 | + | 1.94876i | 0.0895465 | + | 0.275596i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.67678 | + | 1.94479i | −0.371202 | + | 0.269694i | ||||
\(53\) | −2.09317 | + | 6.44213i | −0.287520 | + | 0.884894i | 0.698112 | + | 0.715988i | \(0.254024\pi\) |
−0.985632 | + | 0.168906i | \(0.945976\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.31525 | + | 0.0954005i | −0.447029 | + | 0.0128638i | ||||
\(56\) | −0.240047 | −0.0320776 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 13.9653 | − | 10.1464i | 1.83373 | − | 1.33228i | ||||
\(59\) | −4.51758 | − | 3.28221i | −0.588138 | − | 0.427308i | 0.253511 | − | 0.967333i | \(-0.418415\pi\) |
−0.841649 | + | 0.540025i | \(0.818415\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.296732 | − | 0.913248i | −0.0379927 | − | 0.116929i | 0.930261 | − | 0.366897i | \(-0.119580\pi\) |
−0.968254 | + | 0.249968i | \(0.919580\pi\) | |||||||
\(62\) | 3.28083 | + | 2.38366i | 0.416666 | + | 0.302725i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.93627 | + | 9.03690i | −0.367033 | + | 1.12961i | ||||
\(65\) | −1.50491 | −0.186662 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 13.6559 | 1.66834 | 0.834168 | − | 0.551511i | \(-0.185948\pi\) | ||||
0.834168 | + | 0.551511i | \(0.185948\pi\) | |||||||
\(68\) | −3.34264 | + | 10.2876i | −0.405355 | + | 1.24755i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.977943 | − | 0.710517i | −0.116887 | − | 0.0849231i | ||||
\(71\) | 0.396714 | + | 1.22096i | 0.0470813 | + | 0.144901i | 0.971834 | − | 0.235668i | \(-0.0757279\pi\) |
−0.924752 | + | 0.380570i | \(0.875728\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.6426 | + | 9.18538i | 1.47970 | + | 1.07507i | 0.977652 | + | 0.210230i | \(0.0674214\pi\) |
0.502052 | + | 0.864837i | \(0.332579\pi\) | |||||||
\(74\) | 5.93455 | − | 4.31171i | 0.689878 | − | 0.501226i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 14.9956 | 1.72012 | ||||||||
\(77\) | 1.54918 | − | 1.19511i | 0.176546 | − | 0.136196i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.44622 | + | 10.6064i | −0.387730 | + | 1.19331i | 0.546751 | + | 0.837295i | \(0.315865\pi\) |
−0.934481 | + | 0.356014i | \(0.884135\pi\) | |||||||
\(80\) | −2.88285 | + | 2.09451i | −0.322313 | + | 0.234174i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.57911 | − | 7.93770i | −0.284816 | − | 0.876572i | ||||
\(83\) | 1.23982 | + | 3.81578i | 0.136088 | + | 0.418837i | 0.995758 | − | 0.0920140i | \(-0.0293305\pi\) |
−0.859669 | + | 0.510851i | \(0.829330\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.98036 | + | 2.89190i | −0.431731 | + | 0.313671i | ||||
\(86\) | 3.07824 | − | 9.47385i | 0.331935 | − | 1.02159i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.453779 | + | 1.27097i | 0.0483730 | + | 0.135486i | ||||
\(89\) | −6.08177 | −0.644667 | −0.322333 | − | 0.946626i | \(-0.604467\pi\) | ||||
−0.322333 | + | 0.946626i | \(0.604467\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.718247 | − | 0.521837i | 0.0752928 | − | 0.0547034i | ||||
\(92\) | −0.146374 | − | 0.106347i | −0.0152606 | − | 0.0110875i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.65890 | − | 11.2609i | −0.377387 | − | 1.16148i | ||||
\(95\) | 5.51798 | + | 4.00905i | 0.566133 | + | 0.411320i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.07220 | + | 6.37757i | −0.210400 | + | 0.647544i | 0.789048 | + | 0.614331i | \(0.210574\pi\) |
−0.999448 | + | 0.0332133i | \(0.989426\pi\) | |||||||
\(98\) | −13.6302 | −1.37686 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.19858 | 0.219858 | ||||||||
\(101\) | 1.83730 | − | 5.65462i | 0.182818 | − | 0.562656i | −0.817086 | − | 0.576516i | \(-0.804412\pi\) |
0.999904 | + | 0.0138601i | \(0.00441195\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.56592 | − | 1.13771i | −0.154294 | − | 0.112101i | 0.507959 | − | 0.861381i | \(-0.330400\pi\) |
−0.662254 | + | 0.749280i | \(0.730400\pi\) | |||||||
\(104\) | 0.189228 | + | 0.582384i | 0.0185553 | + | 0.0571074i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.2288 | + | 8.15818i | 1.09063 | + | 0.792392i | ||||
\(107\) | 6.70449 | − | 4.87110i | 0.648148 | − | 0.470907i | −0.214492 | − | 0.976726i | \(-0.568810\pi\) |
0.862640 | + | 0.505819i | \(0.168810\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.18782 | 0.305338 | 0.152669 | − | 0.988277i | \(-0.451213\pi\) | ||||
0.152669 | + | 0.988277i | \(0.451213\pi\) | |||||||
\(110\) | −1.91327 | + | 6.52103i | −0.182423 | + | 0.621756i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.649609 | − | 1.99929i | 0.0613822 | − | 0.188915i | ||||
\(113\) | 9.29605 | − | 6.75398i | 0.874499 | − | 0.635361i | −0.0572913 | − | 0.998358i | \(-0.518246\pi\) |
0.931790 | + | 0.362997i | \(0.118246\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0254300 | − | 0.0782656i | −0.00237136 | − | 0.00729831i | ||||
\(116\) | −5.72355 | − | 17.6153i | −0.531418 | − | 1.63554i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.25671 | + | 6.72540i | −0.852150 | + | 0.619123i | ||||
\(119\) | 0.896916 | − | 2.76042i | 0.0822202 | − | 0.253048i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.25627 | − | 5.94319i | −0.841479 | − | 0.540290i | ||||
\(122\) | −1.96759 | −0.178137 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.52026 | − | 2.55762i | 0.316129 | − | 0.229681i | ||||
\(125\) | 0.809017 | + | 0.587785i | 0.0723607 | + | 0.0525731i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.62146 | + | 17.3011i | 0.498824 | + | 1.53522i | 0.810911 | + | 0.585170i | \(0.198972\pi\) |
−0.312087 | + | 0.950054i | \(0.601028\pi\) | |||||||
\(128\) | 2.62055 | + | 1.90394i | 0.231626 | + | 0.168286i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.952896 | + | 2.93271i | −0.0835745 | + | 0.257216i | ||||
\(131\) | −18.7758 | −1.64045 | −0.820225 | − | 0.572041i | \(-0.806152\pi\) | ||||
−0.820225 | + | 0.572041i | \(0.806152\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.02371 | −0.348900 | ||||||||
\(134\) | 8.64678 | − | 26.6121i | 0.746968 | − | 2.29893i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.61962 | + | 1.17672i | 0.138881 | + | 0.100903i | ||||
\(137\) | 1.46073 | + | 4.49567i | 0.124799 | + | 0.384091i | 0.993864 | − | 0.110606i | \(-0.0352791\pi\) |
−0.869066 | + | 0.494697i | \(0.835279\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.9456 | + | 10.8586i | 1.26767 | + | 0.921013i | 0.999107 | − | 0.0422509i | \(-0.0134529\pi\) |
0.268558 | + | 0.963264i | \(0.413453\pi\) | |||||||
\(140\) | −1.04931 | + | 0.762370i | −0.0886831 | + | 0.0644321i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.63055 | 0.220751 | ||||||||
\(143\) | −4.12071 | − | 2.81641i | −0.344591 | − | 0.235520i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.60329 | − | 8.01211i | 0.216192 | − | 0.665369i | ||||
\(146\) | 25.9052 | − | 18.8213i | 2.14393 | − | 1.55766i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.43223 | − | 7.48563i | −0.199928 | − | 0.615315i | ||||
\(149\) | −4.79009 | − | 14.7424i | −0.392420 | − | 1.20774i | −0.930953 | − | 0.365140i | \(-0.881021\pi\) |
0.538533 | − | 0.842604i | \(-0.318979\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.49360 | + | 3.26479i | −0.365684 | + | 0.265685i | −0.755419 | − | 0.655242i | \(-0.772567\pi\) |
0.389735 | + | 0.920927i | \(0.372567\pi\) | |||||||
\(152\) | 0.857623 | − | 2.63949i | 0.0695624 | − | 0.214091i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.34806 | − | 3.77571i | −0.108630 | − | 0.304256i | ||||
\(155\) | 1.97913 | 0.158968 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.9761 | − | 10.8808i | 1.19522 | − | 0.868381i | 0.201418 | − | 0.979505i | \(-0.435445\pi\) |
0.993807 | + | 0.111124i | \(0.0354451\pi\) | |||||||
\(158\) | 18.4871 | + | 13.4317i | 1.47076 | + | 1.06857i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.50779 | + | 7.71818i | 0.198258 | + | 0.610176i | ||||
\(161\) | 0.0392760 | + | 0.0285357i | 0.00309538 | + | 0.00224893i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.41484 | − | 7.43210i | 0.189145 | − | 0.582127i | −0.810851 | − | 0.585253i | \(-0.800995\pi\) |
0.999995 | + | 0.00312615i | \(0.000995086\pi\) | |||||||
\(164\) | −8.95529 | −0.699291 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.22108 | 0.638080 | ||||||||
\(167\) | −1.84233 | + | 5.67010i | −0.142564 | + | 0.438766i | −0.996690 | − | 0.0813005i | \(-0.974093\pi\) |
0.854126 | + | 0.520066i | \(0.174093\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.68499 | + | 6.31001i | 0.668076 | + | 0.485386i | ||||
\(170\) | 3.11529 | + | 9.58788i | 0.238932 | + | 0.735357i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −8.64707 | − | 6.28247i | −0.659333 | − | 0.479034i | ||||
\(173\) | −13.4085 | + | 9.74186i | −1.01943 | + | 0.740660i | −0.966166 | − | 0.257920i | \(-0.916963\pi\) |
−0.0532650 | + | 0.998580i | \(0.516963\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.589936 | −0.0445949 | ||||||||
\(176\) | −11.8136 | + | 0.339950i | −0.890482 | + | 0.0256247i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.85092 | + | 11.8519i | −0.288638 | + | 0.888337i | ||||
\(179\) | −17.4300 | + | 12.6637i | −1.30278 | + | 0.946526i | −0.999979 | − | 0.00652751i | \(-0.997922\pi\) |
−0.302802 | + | 0.953053i | \(0.597922\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.23300 | − | 19.1832i | −0.463295 | − | 1.42588i | −0.861114 | − | 0.508411i | \(-0.830233\pi\) |
0.397819 | − | 0.917464i | \(-0.369767\pi\) | |||||||
\(182\) | −0.562147 | − | 1.73011i | −0.0416691 | − | 0.128244i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.0270903 | + | 0.0196823i | −0.00199712 | + | 0.00145100i | ||||
\(185\) | 1.10627 | − | 3.40475i | 0.0813346 | − | 0.250322i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −16.3110 | + | 0.469370i | −1.19278 | + | 0.0343237i | ||||
\(188\) | −12.7046 | −0.926575 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 11.3066 | − | 8.21471i | 0.820266 | − | 0.595958i | ||||
\(191\) | 13.1782 | + | 9.57452i | 0.953541 | + | 0.692788i | 0.951642 | − | 0.307210i | \(-0.0993954\pi\) |
0.00189928 | + | 0.999998i | \(0.499395\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.03505 | + | 3.18555i | 0.0745043 | + | 0.229301i | 0.981373 | − | 0.192113i | \(-0.0615340\pi\) |
−0.906868 | + | 0.421414i | \(0.861534\pi\) | |||||||
\(194\) | 11.1162 | + | 8.07642i | 0.798100 | + | 0.579853i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.51935 | + | 13.9091i | −0.322811 | + | 0.993509i | ||||
\(197\) | 9.78158 | 0.696909 | 0.348454 | − | 0.937326i | \(-0.386707\pi\) | ||||
0.348454 | + | 0.937326i | \(0.386707\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.89054 | 0.701121 | 0.350561 | − | 0.936540i | \(-0.385991\pi\) | ||||
0.350561 | + | 0.936540i | \(0.385991\pi\) | |||||||
\(200\) | 0.125740 | − | 0.386988i | 0.00889117 | − | 0.0273642i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.85612 | − | 7.16089i | −0.693474 | − | 0.503838i | ||||
\(203\) | 1.53577 | + | 4.72663i | 0.107790 | + | 0.331744i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.29530 | − | 2.39417i | −0.230154 | − | 0.167216i | ||||
\(206\) | −3.20863 | + | 2.33121i | −0.223556 | + | 0.162423i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.36261 | −0.371830 | ||||||||
\(209\) | 7.60634 | + | 21.3042i | 0.526141 | + | 1.47364i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.85049 | + | 21.0836i | −0.471607 | + | 1.45146i | 0.378873 | + | 0.925449i | \(0.376312\pi\) |
−0.850480 | + | 0.526008i | \(0.823688\pi\) | |||||||
\(212\) | 12.0482 | − | 8.75355i | 0.827476 | − | 0.601197i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.24737 | − | 16.1497i | −0.358703 | − | 1.10397i | ||||
\(215\) | −1.50228 | − | 4.62355i | −0.102455 | − | 0.315323i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.944576 | + | 0.686275i | −0.0641220 | + | 0.0465874i | ||||
\(218\) | 2.01850 | − | 6.21229i | 0.136710 | − | 0.420750i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.02009 | + | 4.11459i | 0.405875 | + | 0.277406i | ||||
\(221\) | −7.40417 | −0.498058 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.98313 | + | 7.25317i | −0.668520 | + | 0.485708i | −0.869529 | − | 0.493881i | \(-0.835578\pi\) |
0.201010 | + | 0.979589i | \(0.435578\pi\) | |||||||
\(224\) | −3.87321 | − | 2.81405i | −0.258790 | − | 0.188022i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.27570 | − | 22.3923i | −0.483972 | − | 1.48951i | ||||
\(227\) | −6.65140 | − | 4.83252i | −0.441469 | − | 0.320746i | 0.344750 | − | 0.938695i | \(-0.387964\pi\) |
−0.786218 | + | 0.617949i | \(0.787964\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.35722 | − | 25.7209i | 0.552261 | − | 1.69968i | −0.150810 | − | 0.988563i | \(-0.548188\pi\) |
0.703070 | − | 0.711120i | \(-0.251812\pi\) | |||||||
\(230\) | −0.168623 | −0.0111187 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.42793 | −0.225055 | ||||||||
\(233\) | −7.72672 | + | 23.7804i | −0.506194 | + | 1.55791i | 0.292559 | + | 0.956247i | \(0.405493\pi\) |
−0.798753 | + | 0.601659i | \(0.794507\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.67492 | − | 3.39653i | −0.304958 | − | 0.221565i | ||||
\(236\) | 3.79379 | + | 11.6761i | 0.246955 | + | 0.760048i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.81148 | − | 3.49574i | −0.311882 | − | 0.226595i | ||||
\(239\) | −16.7638 | + | 12.1796i | −1.08436 | + | 0.787835i | −0.978438 | − | 0.206539i | \(-0.933780\pi\) |
−0.105924 | + | 0.994374i | \(0.533780\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −23.4295 | −1.50923 | −0.754615 | − | 0.656168i | \(-0.772176\pi\) | ||||
−0.754615 | + | 0.656168i | \(0.772176\pi\) | |||||||
\(242\) | −17.4428 | + | 14.2750i | −1.12127 | + | 0.917635i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.652390 | + | 2.00785i | −0.0417650 | + | 0.128539i | ||||
\(245\) | −5.38156 | + | 3.90993i | −0.343815 | + | 0.249796i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.17188 | + | 9.76204i | 0.201822 | + | 0.621144i | ||||
\(248\) | −0.248856 | − | 0.765901i | −0.0158024 | − | 0.0486347i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.65771 | − | 1.20440i | 0.104843 | − | 0.0761728i | ||||
\(251\) | 3.17352 | − | 9.76710i | 0.200311 | − | 0.616494i | −0.799563 | − | 0.600583i | \(-0.794935\pi\) |
0.999873 | − | 0.0159107i | \(-0.00506475\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0768405 | − | 0.261896i | 0.00483092 | − | 0.0164653i | ||||
\(254\) | 37.2751 | 2.33885 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.0049 | + | 7.26896i | −0.625304 | + | 0.454310i | ||||
\(257\) | −1.57711 | − | 1.14584i | −0.0983774 | − | 0.0714753i | 0.537509 | − | 0.843258i | \(-0.319365\pi\) |
−0.635886 | + | 0.771783i | \(0.719365\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.652629 | + | 2.00858i | 0.0405524 | + | 0.124807i | ||||
\(260\) | 2.67678 | + | 1.94479i | 0.166007 | + | 0.120611i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −11.8886 | + | 36.5895i | −0.734483 | + | 2.26051i | ||||
\(263\) | −8.80234 | −0.542775 | −0.271388 | − | 0.962470i | \(-0.587483\pi\) | ||||
−0.271388 | + | 0.962470i | \(0.587483\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.77365 | 0.416102 | ||||||||
\(266\) | −2.54777 | + | 7.84124i | −0.156214 | + | 0.480777i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −24.2896 | − | 17.6475i | −1.48373 | − | 1.07799i | ||||
\(269\) | 3.76512 | + | 11.5878i | 0.229563 | + | 0.706523i | 0.997796 | + | 0.0663529i | \(0.0211363\pi\) |
−0.768233 | + | 0.640171i | \(0.778864\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.0039 | − | 7.26827i | −0.607694 | − | 0.441516i | 0.240907 | − | 0.970548i | \(-0.422555\pi\) |
−0.848602 | + | 0.529032i | \(0.822555\pi\) | |||||||
\(272\) | −14.1836 | + | 10.3050i | −0.860008 | + | 0.624833i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.68590 | 0.585146 | ||||||||
\(275\) | 1.11520 | + | 3.12351i | 0.0672491 | + | 0.188355i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.34377 | − | 19.5241i | 0.381160 | − | 1.17309i | −0.558067 | − | 0.829796i | \(-0.688457\pi\) |
0.939228 | − | 0.343295i | \(-0.111543\pi\) | |||||||
\(278\) | 30.6241 | − | 22.2497i | 1.83671 | − | 1.33445i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0741786 | + | 0.228298i | 0.00443302 | + | 0.0136434i | ||||
\(281\) | 3.53113 | + | 10.8677i | 0.210650 | + | 0.648313i | 0.999434 | + | 0.0336429i | \(0.0107109\pi\) |
−0.788784 | + | 0.614670i | \(0.789289\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −23.8919 | + | 17.3585i | −1.42023 | + | 1.03186i | −0.428493 | + | 0.903545i | \(0.640956\pi\) |
−0.991734 | + | 0.128311i | \(0.959044\pi\) | |||||||
\(284\) | 0.872208 | − | 2.68438i | 0.0517560 | − | 0.159289i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.09769 | + | 6.24694i | −0.478826 | + | 0.369389i | ||||
\(287\) | 2.40293 | 0.141841 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.83007 | + | 4.23579i | −0.342945 | + | 0.249164i | ||||
\(290\) | −13.9653 | − | 10.1464i | −0.820069 | − | 0.595815i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.6170 | − | 32.6759i | −0.621316 | − | 1.91221i | ||||
\(293\) | −9.38171 | − | 6.81621i | −0.548085 | − | 0.398207i | 0.278994 | − | 0.960293i | \(-0.409999\pi\) |
−0.827079 | + | 0.562086i | \(0.809999\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.72556 | + | 5.31073i | −0.100466 | + | 0.309203i | ||||
\(296\) | −1.45670 | −0.0846690 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −31.7624 | −1.83995 | ||||||||
\(299\) | 0.0382700 | − | 0.117783i | 0.00221321 | − | 0.00681157i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.32023 | + | 1.68575i | 0.133736 | + | 0.0971648i | ||||
\(302\) | 3.51699 | + | 10.8242i | 0.202380 | + | 0.622861i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 19.6628 | + | 14.2858i | 1.12774 | + | 0.819349i | ||||
\(305\) | −0.776855 | + | 0.564418i | −0.0444826 | + | 0.0323185i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.27309 | 0.0726593 | 0.0363296 | − | 0.999340i | \(-0.488433\pi\) | ||||
0.0363296 | + | 0.999340i | \(0.488433\pi\) | |||||||
\(308\) | −4.29996 | + | 0.123737i | −0.245013 | + | 0.00705054i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.25317 | − | 3.85685i | 0.0711750 | − | 0.219054i | ||||
\(311\) | −3.96859 | + | 2.88335i | −0.225038 | + | 0.163500i | −0.694592 | − | 0.719404i | \(-0.744415\pi\) |
0.469553 | + | 0.882904i | \(0.344415\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.76494 | − | 14.6650i | −0.269331 | − | 0.828914i | −0.990664 | − | 0.136326i | \(-0.956470\pi\) |
0.721333 | − | 0.692588i | \(-0.243530\pi\) | |||||||
\(314\) | −11.7213 | − | 36.0744i | −0.661470 | − | 2.03580i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 19.8363 | − | 14.4119i | 1.11588 | − | 0.810734i | ||||
\(317\) | 10.3782 | − | 31.9408i | 0.582897 | − | 1.79397i | −0.0246573 | − | 0.999696i | \(-0.507849\pi\) |
0.607555 | − | 0.794278i | \(-0.292151\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 22.1227 | − | 17.0665i | 1.23863 | − | 0.955542i | ||||
\(320\) | 9.50196 | 0.531175 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.0804782 | − | 0.0584709i | 0.00448488 | − | 0.00325845i | ||||
\(323\) | 27.1484 | + | 19.7245i | 1.51058 | + | 1.09750i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.465044 | + | 1.43126i | 0.0257960 | + | 0.0793919i | ||||
\(326\) | −12.9543 | − | 9.41186i | −0.717473 | − | 0.521275i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.512166 | + | 1.57628i | −0.0282796 | + | 0.0870358i | ||||
\(329\) | 3.40896 | 0.187942 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.50564 | −0.522477 | −0.261239 | − | 0.965274i | \(-0.584131\pi\) | ||||
−0.261239 | + | 0.965274i | \(0.584131\pi\) | |||||||
\(332\) | 2.72585 | − | 8.38932i | 0.149601 | − | 0.460424i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 9.88310 | + | 7.18050i | 0.540779 | + | 0.392899i | ||||
\(335\) | −4.21991 | − | 12.9875i | −0.230558 | − | 0.709586i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −20.7225 | − | 15.0557i | −1.12882 | − | 0.820138i | −0.143301 | − | 0.989679i | \(-0.545772\pi\) |
−0.985523 | + | 0.169541i | \(0.945772\pi\) | |||||||
\(338\) | 17.7959 | − | 12.9295i | 0.967971 | − | 0.703272i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.8170 | 0.586635 | ||||||||
\(341\) | 5.41920 | + | 3.70390i | 0.293466 | + | 0.200577i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.48876 | − | 7.65961i | 0.134380 | − | 0.413580i | ||||
\(344\) | −1.60036 | + | 1.16273i | −0.0862856 | + | 0.0626902i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.4944 | + | 32.2984i | 0.564182 | + | 1.73637i | ||||
\(347\) | −8.62415 | − | 26.5424i | −0.462969 | − | 1.42487i | −0.861520 | − | 0.507724i | \(-0.830487\pi\) |
0.398551 | − | 0.917146i | \(-0.369513\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.58282 | − | 6.23578i | 0.459428 | − | 0.333794i | −0.333879 | − | 0.942616i | \(-0.608358\pi\) |
0.793307 | + | 0.608822i | \(0.208358\pi\) | |||||||
\(350\) | −0.373541 | + | 1.14964i | −0.0199666 | + | 0.0614509i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7.57763 | + | 25.8270i | −0.403889 | + | 1.37658i | ||||
\(353\) | −29.0702 | −1.54725 | −0.773627 | − | 0.633642i | \(-0.781559\pi\) | ||||
−0.773627 | + | 0.633642i | \(0.781559\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.03861 | − | 0.754594i | 0.0551237 | − | 0.0400497i | ||||
\(356\) | 10.8176 | + | 7.85944i | 0.573331 | + | 0.416550i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.6419 | + | 41.9854i | 0.720995 | + | 2.21900i | ||||
\(359\) | 24.4571 | + | 17.7692i | 1.29080 | + | 0.937820i | 0.999821 | − | 0.0189094i | \(-0.00601942\pi\) |
0.290978 | + | 0.956730i | \(0.406019\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.50432 | − | 26.1736i | 0.447596 | − | 1.37756i | ||||
\(362\) | −41.3300 | −2.17226 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.95191 | −0.102308 | ||||||||
\(365\) | 4.82904 | − | 14.8623i | 0.252764 | − | 0.777926i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.1378 | + | 13.9044i | 0.998984 | + | 0.725805i | 0.961870 | − | 0.273506i | \(-0.0881835\pi\) |
0.0371142 | + | 0.999311i | \(0.488183\pi\) | |||||||
\(368\) | −0.0906175 | − | 0.278892i | −0.00472376 | − | 0.0145382i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.93455 | − | 4.31171i | −0.308523 | − | 0.224155i | ||||
\(371\) | −3.23285 | + | 2.34880i | −0.167841 | + | 0.121944i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.5998 | −0.755949 | −0.377974 | − | 0.925816i | \(-0.623379\pi\) | ||||
−0.377974 | + | 0.925816i | \(0.623379\pi\) | |||||||
\(374\) | −9.41328 | + | 32.0834i | −0.486749 | + | 1.65899i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.726592 | + | 2.23622i | −0.0374711 | + | 0.115324i | ||||
\(377\) | 10.2567 | − | 7.45196i | 0.528249 | − | 0.383796i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.07156 | + | 6.37559i | 0.106409 | + | 0.327492i | 0.990058 | − | 0.140656i | \(-0.0449212\pi\) |
−0.883650 | + | 0.468148i | \(0.844921\pi\) | |||||||
\(380\) | −4.63391 | − | 14.2617i | −0.237715 | − | 0.731610i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 27.0027 | − | 19.6186i | 1.38158 | − | 1.00378i | ||||
\(383\) | 9.74277 | − | 29.9852i | 0.497832 | − | 1.53217i | −0.314663 | − | 0.949203i | \(-0.601892\pi\) |
0.812496 | − | 0.582967i | \(-0.198108\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.61534 | − | 1.10405i | −0.0823256 | − | 0.0562676i | ||||
\(386\) | 6.86324 | 0.349330 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 11.9275 | − | 8.66584i | 0.605527 | − | 0.439941i | ||||
\(389\) | −31.5385 | − | 22.9141i | −1.59907 | − | 1.16179i | −0.889271 | − | 0.457380i | \(-0.848788\pi\) |
−0.709794 | − | 0.704409i | \(-0.751212\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.125116 | − | 0.385067i | −0.00632737 | − | 0.0194737i | ||||
\(392\) | 2.18978 | + | 1.59097i | 0.110600 | + | 0.0803559i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6.19359 | − | 19.0619i | 0.312029 | − | 0.960326i | ||||
\(395\) | 11.1522 | 0.561128 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 27.1682 | 1.36353 | 0.681766 | − | 0.731570i | \(-0.261212\pi\) | ||||
0.681766 | + | 0.731570i | \(0.261212\pi\) | |||||||
\(398\) | 6.26258 | − | 19.2742i | 0.313915 | − | 0.966131i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.88285 | + | 2.09451i | 0.144143 | + | 0.104726i | ||||
\(401\) | −4.07725 | − | 12.5485i | −0.203608 | − | 0.626641i | −0.999768 | − | 0.0215543i | \(-0.993139\pi\) |
0.796160 | − | 0.605087i | \(-0.206861\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.40959 | + | 1.75067i | 0.120030 | + | 0.0872072i | ||||
\(404\) | −10.5754 | + | 7.68349i | −0.526146 | + | 0.382268i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.1835 | 0.505398 | ||||||||
\(407\) | 9.40107 | − | 7.25243i | 0.465994 | − | 0.359490i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.06772 | + | 9.44146i | −0.151689 | + | 0.466850i | −0.997810 | − | 0.0661398i | \(-0.978932\pi\) |
0.846122 | + | 0.532990i | \(0.178932\pi\) | |||||||
\(410\) | −6.75221 | + | 4.90577i | −0.333468 | + | 0.242279i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.31503 | + | 4.04725i | 0.0647870 | + | 0.199394i | ||||
\(413\) | −1.01797 | − | 3.13299i | −0.0500910 | − | 0.154164i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.24590 | − | 2.35828i | 0.159335 | − | 0.115764i | ||||
\(416\) | −3.77401 | + | 11.6152i | −0.185036 | + | 0.569482i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 46.3330 | − | 1.33329i | 2.26622 | − | 0.0652133i | ||||
\(419\) | 26.4274 | 1.29107 | 0.645533 | − | 0.763733i | \(-0.276635\pi\) | ||||
0.645533 | + | 0.763733i | \(0.276635\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.1232 | + | 8.08146i | −0.542111 | + | 0.393866i | −0.824868 | − | 0.565325i | \(-0.808751\pi\) |
0.282758 | + | 0.959191i | \(0.408751\pi\) | |||||||
\(422\) | 36.7492 | + | 26.6999i | 1.78892 | + | 1.29973i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.851720 | − | 2.62132i | −0.0413632 | − | 0.127303i | ||||
\(425\) | 3.98036 | + | 2.89190i | 0.193076 | + | 0.140278i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.175053 | − | 0.538758i | 0.00847141 | − | 0.0260723i | ||||
\(428\) | −18.2201 | −0.880702 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.96139 | −0.480381 | ||||||||
\(431\) | −6.17164 | + | 18.9944i | −0.297278 | + | 0.914927i | 0.685169 | + | 0.728384i | \(0.259728\pi\) |
−0.982447 | + | 0.186543i | \(0.940272\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.4316 | − | 9.75862i | −0.645481 | − | 0.468969i | 0.216248 | − | 0.976338i | \(-0.430618\pi\) |
−0.861729 | + | 0.507369i | \(0.830618\pi\) | |||||||
\(434\) | 0.739287 | + | 2.27529i | 0.0354869 | + | 0.109218i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.67015 | − | 4.11961i | −0.271551 | − | 0.197293i | ||||
\(437\) | −0.454093 | + | 0.329918i | −0.0217222 | + | 0.0157821i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −28.3645 | −1.35376 | −0.676882 | − | 0.736091i | \(-0.736669\pi\) | ||||
−0.676882 | + | 0.736091i | \(0.736669\pi\) | |||||||
\(440\) | 1.06854 | − | 0.824320i | 0.0509405 | − | 0.0392979i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.68824 | + | 14.4289i | −0.222997 | + | 0.686314i | ||||
\(443\) | 18.3506 | − | 13.3325i | 0.871865 | − | 0.633447i | −0.0592220 | − | 0.998245i | \(-0.518862\pi\) |
0.931087 | + | 0.364798i | \(0.118862\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.87937 | + | 5.78411i | 0.0890908 | + | 0.274193i | ||||
\(446\) | 7.81345 | + | 24.0473i | 0.369977 | + | 1.13867i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −4.53498 | + | 3.29486i | −0.214258 | + | 0.155667i | ||||
\(449\) | −1.41587 | + | 4.35761i | −0.0668192 | + | 0.205648i | −0.978891 | − | 0.204381i | \(-0.934482\pi\) |
0.912072 | + | 0.410030i | \(0.134482\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.54245 | − | 12.7227i | −0.213896 | − | 0.599090i | ||||
\(452\) | −25.2629 | −1.18827 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −13.6290 | + | 9.90205i | −0.639641 | + | 0.464726i | ||||
\(455\) | −0.718247 | − | 0.521837i | −0.0336719 | − | 0.0244641i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.07841 | + | 6.39668i | 0.0972238 | + | 0.299224i | 0.987827 | − | 0.155557i | \(-0.0497174\pi\) |
−0.890603 | + | 0.454781i | \(0.849717\pi\) | |||||||
\(458\) | −44.8320 | − | 32.5724i | −2.09486 | − | 1.52201i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0559101 | + | 0.172073i | −0.00260682 | + | 0.00802297i | ||||
\(461\) | 2.83529 | 0.132053 | 0.0660263 | − | 0.997818i | \(-0.478968\pi\) | ||||
0.0660263 | + | 0.997818i | \(0.478968\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.5498 | 0.955029 | 0.477515 | − | 0.878624i | \(-0.341538\pi\) | ||||
0.477515 | + | 0.878624i | \(0.341538\pi\) | |||||||
\(464\) | 9.27657 | − | 28.5504i | 0.430654 | − | 1.32542i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 41.4497 | + | 30.1150i | 1.92012 | + | 1.39505i | ||||
\(467\) | 3.63384 | + | 11.1838i | 0.168154 | + | 0.517525i | 0.999255 | − | 0.0385968i | \(-0.0122888\pi\) |
−0.831101 | + | 0.556122i | \(0.812289\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.51753 | + | 4.73526i | 0.300952 | + | 0.218654i | ||||
\(470\) | −9.57912 | + | 6.95964i | −0.441852 | + | 0.321024i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.27216 | 0.104585 | ||||||||
\(473\) | 4.53935 | − | 15.4715i | 0.208720 | − | 0.711382i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.10768 | − | 6.48677i | 0.0967070 | − | 0.297634i | ||||
\(476\) | −5.16262 | + | 3.75086i | −0.236628 | + | 0.171920i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 13.1205 | + | 40.3806i | 0.600116 | + | 1.84697i | ||||
\(479\) | −0.470421 | − | 1.44781i | −0.0214941 | − | 0.0661519i | 0.939734 | − | 0.341906i | \(-0.111072\pi\) |
−0.961228 | + | 0.275754i | \(0.911072\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.35861 | − | 3.16672i | 0.198736 | − | 0.144390i | ||||
\(482\) | −14.8353 | + | 45.6585i | −0.675731 | + | 2.07969i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.78368 | + | 22.5329i | 0.399258 | + | 1.02422i | ||||
\(485\) | 6.70578 | 0.304494 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −28.7184 | + | 20.8652i | −1.30136 | + | 0.945491i | −0.999968 | − | 0.00801039i | \(-0.997450\pi\) |
−0.301389 | + | 0.953501i | \(0.597450\pi\) | |||||||
\(488\) | 0.316105 | + | 0.229664i | 0.0143094 | + | 0.0103964i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.21196 | + | 12.9631i | 0.190277 | + | 0.585612i | ||||
\(491\) | 10.2562 | + | 7.45159i | 0.462858 | + | 0.336286i | 0.794651 | − | 0.607066i | \(-0.207654\pi\) |
−0.331794 | + | 0.943352i | \(0.607654\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.8082 | − | 39.4195i | 0.576852 | − | 1.77537i | ||||
\(494\) | 21.0322 | 0.946285 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.05244 | 0.316664 | ||||||||
\(497\) | −0.234036 | + | 0.720288i | −0.0104979 | + | 0.0323093i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −17.0361 | − | 12.3774i | −0.762640 | − | 0.554090i | 0.137079 | − | 0.990560i | \(-0.456229\pi\) |
−0.899719 | + | 0.436470i | \(0.856229\pi\) | |||||||
\(500\) | −0.679399 | − | 2.09098i | −0.0303837 | − | 0.0935113i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −17.0243 | − | 12.3688i | −0.759830 | − | 0.552049i | ||||
\(503\) | 20.2875 | − | 14.7398i | 0.904576 | − | 0.657213i | −0.0350612 | − | 0.999385i | \(-0.511163\pi\) |
0.939637 | + | 0.342172i | \(0.111163\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.94562 | −0.264577 | ||||||||
\(506\) | −0.461718 | − | 0.315573i | −0.0205259 | − | 0.0140289i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.3593 | − | 38.0379i | 0.548353 | − | 1.68766i | ||||
\(509\) | −29.6791 | + | 21.5631i | −1.31550 | + | 0.955767i | −0.315524 | + | 0.948917i | \(0.602180\pi\) |
−0.999977 | + | 0.00684995i | \(0.997820\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.84882 | + | 8.76778i | 0.126025 | + | 0.387864i | ||||
\(512\) | 9.83238 | + | 30.2610i | 0.434534 | + | 1.33736i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.23157 | + | 2.34787i | −0.142538 | + | 0.103560i | ||||
\(515\) | −0.598127 | + | 1.84085i | −0.0263566 | + | 0.0811174i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.44421 | − | 18.0493i | −0.283416 | − | 0.793807i | ||||
\(518\) | 4.32748 | 0.190139 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.495405 | − | 0.359933i | 0.0217250 | − | 0.0157841i | ||||
\(521\) | 22.9371 | + | 16.6648i | 1.00489 | + | 0.730099i | 0.963132 | − | 0.269029i | \(-0.0867027\pi\) |
0.0417626 | + | 0.999128i | \(0.486703\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.27685 | + | 25.4735i | 0.361922 | + | 1.11388i | 0.951886 | + | 0.306451i | \(0.0991416\pi\) |
−0.589965 | + | 0.807429i | \(0.700858\pi\) | |||||||
\(524\) | 33.3964 | + | 24.2639i | 1.45893 | + | 1.05997i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.57355 | + | 17.1536i | −0.243018 | + | 0.747933i | ||||
\(527\) | 9.73732 | 0.424164 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.9932 | −0.999706 | ||||||||
\(530\) | 4.28901 | − | 13.2002i | 0.186303 | − | 0.573380i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 7.15694 | + | 5.19982i | 0.310293 | + | 0.225441i | ||||
\(533\) | −1.89422 | − | 5.82982i | −0.0820479 | − | 0.252517i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.70449 | − | 4.87110i | −0.289860 | − | 0.210596i | ||||
\(536\) | −4.49542 | + | 3.26611i | −0.194172 | + | 0.141074i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 24.9659 | 1.07636 | ||||||||
\(539\) | −22.0530 | + | 0.634602i | −0.949889 | + | 0.0273342i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.17081 | − | 15.9141i | 0.222311 | − | 0.684201i | −0.776243 | − | 0.630434i | \(-0.782877\pi\) |
0.998553 | − | 0.0537675i | \(-0.0171230\pi\) | |||||||
\(542\) | −20.4985 | + | 14.8930i | −0.880484 | + | 0.639709i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.3383 | + | 37.9734i | 0.529001 | + | 1.62810i | ||||
\(545\) | −0.985092 | − | 3.03180i | −0.0421967 | − | 0.129868i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.3143 | − | 12.5796i | 0.740305 | − | 0.537863i | −0.152502 | − | 0.988303i | \(-0.548733\pi\) |
0.892807 | + | 0.450440i | \(0.148733\pi\) | |||||||
\(548\) | 3.21154 | − | 9.88411i | 0.137190 | − | 0.422228i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.79310 | − | 0.195480i | 0.289659 | − | 0.00833529i | ||||
\(551\) | −57.4596 | −2.44786 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.32259 | + | 3.86709i | −0.226339 | + | 0.164445i | ||||
\(554\) | −34.0310 | − | 24.7249i | −1.44584 | − | 1.05046i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −12.5510 | − | 38.6281i | −0.532282 | − | 1.63820i | ||||
\(557\) | 34.7026 | + | 25.2129i | 1.47040 | + | 1.06830i | 0.980499 | + | 0.196524i | \(0.0629655\pi\) |
0.489897 | + | 0.871781i | \(0.337035\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.26080 | − | 6.95804i | 0.0956218 | − | 0.294294i | ||||
\(560\) | −2.10218 | −0.0888332 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 23.4144 | 0.987677 | ||||||||
\(563\) | −10.1843 | + | 31.3440i | −0.429216 | + | 1.32099i | 0.469682 | + | 0.882835i | \(0.344368\pi\) |
−0.898899 | + | 0.438157i | \(0.855632\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −9.29605 | − | 6.75398i | −0.391088 | − | 0.284142i | ||||
\(566\) | 18.6994 | + | 57.5508i | 0.785994 | + | 2.41904i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.422614 | − | 0.307047i | −0.0177325 | − | 0.0128834i | ||||
\(569\) | 2.72574 | − | 1.98036i | 0.114269 | − | 0.0830212i | −0.529183 | − | 0.848508i | \(-0.677502\pi\) |
0.643452 | + | 0.765486i | \(0.277502\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.267599 | −0.0111987 | −0.00559934 | − | 0.999984i | \(-0.501782\pi\) | ||||
−0.00559934 | + | 0.999984i | \(0.501782\pi\) | |||||||
\(572\) | 3.68984 | + | 10.3347i | 0.154280 | + | 0.432115i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.52151 | − | 4.68273i | 0.0635067 | − | 0.195453i | ||||
\(575\) | −0.0665767 | + | 0.0483708i | −0.00277644 | + | 0.00201720i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.7100 | + | 36.0396i | 0.487493 | + | 1.50035i | 0.828337 | + | 0.560230i | \(0.189287\pi\) |
−0.340844 | + | 0.940120i | \(0.610713\pi\) | |||||||
\(578\) | 4.56299 | + | 14.0434i | 0.189795 | + | 0.584130i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −14.9844 | + | 10.8868i | −0.622195 | + | 0.452051i | ||||
\(581\) | −0.731416 | + | 2.25107i | −0.0303443 | + | 0.0933900i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 18.5474 | + | 12.6767i | 0.768156 | + | 0.525017i | ||||
\(584\) | −6.35872 | −0.263126 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19.2235 | + | 13.9667i | −0.794117 | + | 0.576960i | ||||
\(587\) | −13.6375 | − | 9.90825i | −0.562881 | − | 0.408957i | 0.269631 | − | 0.962964i | \(-0.413098\pi\) |
−0.832512 | + | 0.554006i | \(0.813098\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.17138 | − | 12.8382i | −0.171879 | − | 0.528988i | ||||
\(590\) | 9.25671 | + | 6.72540i | 0.381093 | + | 0.276880i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.94209 | − | 12.1325i | 0.162019 | − | 0.498642i | ||||
\(593\) | −11.0211 | −0.452580 | −0.226290 | − | 0.974060i | \(-0.572660\pi\) | ||||
−0.226290 | + | 0.974060i | \(0.572660\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.90248 | −0.118990 | ||||||||
\(596\) | −10.5314 | + | 32.4124i | −0.431384 | + | 1.32766i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.205298 | − | 0.149158i | −0.00839527 | − | 0.00609952i | ||||
\(599\) | −5.15906 | − | 15.8779i | −0.210793 | − | 0.648755i | −0.999426 | − | 0.0338901i | \(-0.989210\pi\) |
0.788632 | − | 0.614865i | \(-0.210790\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.27526 | + | 4.55925i | 0.255973 | + | 0.185976i | 0.708370 | − | 0.705841i | \(-0.249431\pi\) |
−0.452397 | + | 0.891817i | \(0.649431\pi\) | |||||||
\(602\) | 4.75425 | − | 3.45417i | 0.193769 | − | 0.140781i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 12.2118 | 0.496891 | ||||||||
\(605\) | −2.79197 | + | 10.6398i | −0.113510 | + | 0.432569i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.85634 | − | 30.3347i | 0.400057 | − | 1.23125i | −0.524896 | − | 0.851166i | \(-0.675896\pi\) |
0.924953 | − | 0.380082i | \(-0.124104\pi\) | |||||||
\(608\) | 44.7805 | − | 32.5349i | 1.81609 | − | 1.31946i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.608018 | + | 1.87129i | 0.0246179 | + | 0.0757662i | ||||
\(611\) | −2.68727 | − | 8.27056i | −0.108715 | − | 0.334591i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.6283 | − | 25.1589i | 1.39862 | − | 1.01616i | 0.403766 | − | 0.914862i | \(-0.367701\pi\) |
0.994856 | − | 0.101296i | \(-0.0322991\pi\) | |||||||
\(614\) | 0.806109 | − | 2.48095i | 0.0325319 | − | 0.100123i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.224141 | + | 0.763943i | −0.00903089 | + | 0.0307801i | ||||
\(617\) | 21.7979 | 0.877550 | 0.438775 | − | 0.898597i | \(-0.355412\pi\) | ||||
0.438775 | + | 0.898597i | \(0.355412\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −27.2098 | + | 19.7691i | −1.09366 | + | 0.794587i | −0.980013 | − | 0.198935i | \(-0.936252\pi\) |
−0.113642 | + | 0.993522i | \(0.536252\pi\) | |||||||
\(620\) | −3.52026 | − | 2.55762i | −0.141377 | − | 0.102717i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.10608 | + | 9.55953i | 0.124542 | + | 0.383302i | ||||
\(623\) | −2.90264 | − | 2.10889i | −0.116292 | − | 0.0844908i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | −31.5956 | −1.26281 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −40.6990 | −1.62407 | ||||||||
\(629\) | 5.44285 | − | 16.7514i | 0.217021 | − | 0.667921i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.3577 | + | 12.6111i | 0.690997 | + | 0.502039i | 0.876988 | − | 0.480513i | \(-0.159549\pi\) |
−0.185991 | + | 0.982552i | \(0.559549\pi\) | |||||||
\(632\) | −1.40228 | − | 4.31577i | −0.0557796 | − | 0.171672i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −55.6735 | − | 40.4492i | −2.21108 | − | 1.60644i | ||||
\(635\) | 14.7172 | − | 10.6927i | 0.584034 | − | 0.424325i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.0107 | −0.396636 | ||||||||
\(638\) | −19.2506 | − | 53.9181i | −0.762139 | − | 2.13464i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.00096 | − | 3.08064i | 0.0395665 | − | 0.121773i | ||||
\(641\) | 36.1507 | − | 26.2650i | 1.42787 | − | 1.03740i | 0.437456 | − | 0.899240i | \(-0.355880\pi\) |
0.990409 | − | 0.138165i | \(-0.0441205\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.65477 | + | 8.17053i | 0.104694 | + | 0.322214i | 0.989658 | − | 0.143444i | \(-0.0458176\pi\) |
−0.884965 | + | 0.465658i | \(0.845818\pi\) | |||||||
\(644\) | −0.0329833 | − | 0.101512i | −0.00129973 | − | 0.00400014i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 55.6284 | − | 40.4164i | 2.18867 | − | 1.59016i | ||||
\(647\) | −2.76396 | + | 8.50658i | −0.108662 | + | 0.334428i | −0.990573 | − | 0.136989i | \(-0.956257\pi\) |
0.881910 | + | 0.471417i | \(0.156257\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.6638 | + | 11.3123i | −0.575604 | + | 0.444048i | ||||
\(650\) | 3.08363 | 0.120950 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −13.8997 | + | 10.0987i | −0.544355 | + | 0.395497i | ||||
\(653\) | −11.2834 | − | 8.19784i | −0.441552 | − | 0.320806i | 0.344699 | − | 0.938713i | \(-0.387981\pi\) |
−0.786251 | + | 0.617907i | \(0.787981\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.80204 | + | 17.8569i | 0.226705 | + | 0.697725i | ||||
\(656\) | −11.7425 | − | 8.53140i | −0.458466 | − | 0.333095i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.15852 | − | 6.64323i | 0.0841477 | − | 0.258980i | ||||
\(659\) | 6.61492 | 0.257681 | 0.128840 | − | 0.991665i | \(-0.458875\pi\) | ||||
0.128840 | + | 0.991665i | \(0.458875\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 23.5635 | 0.916515 | 0.458257 | − | 0.888820i | \(-0.348474\pi\) | ||||
0.458257 | + | 0.888820i | \(0.348474\pi\) | |||||||
\(662\) | −6.01887 | + | 18.5242i | −0.233930 | + | 0.719962i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.32077 | − | 0.959594i | −0.0512557 | − | 0.0372395i | ||||
\(665\) | 1.24340 | + | 3.82678i | 0.0482168 | + | 0.148396i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.560871 | + | 0.407497i | 0.0217170 | + | 0.0157783i | ||||
\(668\) | 10.6044 | − | 7.70452i | 0.410295 | − | 0.298097i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −27.9816 | −1.08102 | ||||||||
\(671\) | −3.18346 | + | 0.0916079i | −0.122896 | + | 0.00353649i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.30209 | − | 4.00742i | 0.0501919 | − | 0.154475i | −0.922819 | − | 0.385234i | \(-0.874121\pi\) |
0.973011 | + | 0.230759i | \(0.0741209\pi\) | |||||||
\(674\) | −42.4612 | + | 30.8499i | −1.63554 | + | 1.18829i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.29351 | − | 22.4471i | −0.280520 | − | 0.863351i | ||||
\(677\) | 5.25436 | + | 16.1713i | 0.201942 | + | 0.621512i | 0.999825 | + | 0.0187007i | \(0.00595297\pi\) |
−0.797884 | + | 0.602812i | \(0.794047\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.20045 | + | 2.32527i | −0.122822 | + | 0.0892355i | ||||
\(680\) | 0.618641 | − | 1.90398i | 0.0237238 | − | 0.0730143i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 10.6494 | − | 8.21544i | 0.407786 | − | 0.314585i | ||||
\(683\) | −19.6114 | −0.750409 | −0.375204 | − | 0.926942i | \(-0.622427\pi\) | ||||
−0.375204 | + | 0.926942i | \(0.622427\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.82425 | − | 2.77848i | 0.146117 | − | 0.106160i | ||||
\(686\) | −13.3509 | − | 9.69997i | −0.509738 | − | 0.370346i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.35323 | − | 16.4755i | −0.204090 | − | 0.628124i | ||||
\(689\) | 8.24693 | + | 5.99175i | 0.314183 | + | 0.228267i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.37016 | − | 7.29459i | 0.0901650 | − | 0.277499i | −0.895799 | − | 0.444460i | \(-0.853395\pi\) |
0.985963 | + | 0.166961i | \(0.0533954\pi\) | |||||||
\(692\) | 36.4390 | 1.38520 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −57.1854 | −2.17073 | ||||||||
\(695\) | 5.70869 | − | 17.5695i | 0.216543 | − | 0.666451i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.2129 | − | 11.7793i | −0.614106 | − | 0.446174i | ||||
\(698\) | −6.71747 | − | 20.6743i | −0.254260 | − | 0.782532i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.04931 | + | 0.762370i | 0.0396603 | + | 0.0288149i | ||||
\(701\) | 17.7443 | − | 12.8920i | 0.670192 | − | 0.486923i | −0.199897 | − | 0.979817i | \(-0.564061\pi\) |
0.870090 | + | 0.492894i | \(0.164061\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −24.4175 | −0.920924 | ||||||||
\(704\) | 26.0180 | + | 17.7827i | 0.980589 | + | 0.670210i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −18.4070 | + | 56.6508i | −0.692756 | + | 2.13208i | ||||
\(707\) | 2.83765 | − | 2.06168i | 0.106721 | − | 0.0775373i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.23257 | − | 6.87116i | −0.0838461 | − | 0.258052i | 0.900341 | − | 0.435186i | \(-0.143317\pi\) |
−0.984187 | + | 0.177134i | \(0.943317\pi\) | |||||||
\(710\) | −0.812884 | − | 2.50180i | −0.0305070 | − | 0.0938909i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.00207 | − | 1.45459i | 0.0750307 | − | 0.0545130i | ||||
\(713\) | −0.0503294 | + | 0.154898i | −0.00188485 | + | 0.00580098i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.40520 | + | 4.78935i | −0.0525513 | + | 0.179111i | ||||
\(716\) | 47.3678 | 1.77022 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 50.1138 | − | 36.4098i | 1.87023 | − | 1.35880i | ||||
\(719\) | −15.5513 | − | 11.2987i | −0.579967 | − | 0.421371i | 0.258745 | − | 0.965946i | \(-0.416691\pi\) |
−0.838712 | + | 0.544575i | \(0.816691\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.352857 | − | 1.08598i | −0.0131411 | − | 0.0404440i | ||||
\(722\) | −45.6212 | − | 33.1457i | −1.69784 | − | 1.23356i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −13.7038 | + | 42.1758i | −0.509296 | + | 1.56745i | ||||
\(725\) | −8.42443 | −0.312875 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −33.9775 | −1.26015 | −0.630077 | − | 0.776532i | \(-0.716977\pi\) | ||||
−0.630077 | + | 0.776532i | \(0.716977\pi\) | |||||||
\(728\) | −0.111632 | + | 0.343569i | −0.00413737 | + | 0.0127335i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −25.9052 | − | 18.8213i | −0.958796 | − | 0.696606i | ||||
\(731\) | −7.39122 | − | 22.7478i | −0.273374 | − | 0.841359i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.25720 | − | 3.81958i | −0.194179 | − | 0.141079i | 0.486448 | − | 0.873710i | \(-0.338292\pi\) |
−0.680627 | + | 0.732630i | \(0.738292\pi\) | |||||||
\(734\) | 39.2142 | − | 28.4908i | 1.44742 | − | 1.05161i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.667841 | −0.0246170 | ||||||||
\(737\) | 12.7510 | − | 43.4596i | 0.469691 | − | 1.60085i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.78294 | + | 17.7981i | −0.212729 | + | 0.654712i | 0.786578 | + | 0.617491i | \(0.211851\pi\) |
−0.999307 | + | 0.0372216i | \(0.988149\pi\) | |||||||
\(740\) | −6.36765 | + | 4.62637i | −0.234080 | + | 0.170069i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.53024 | + | 7.78727i | 0.0928880 | + | 0.285880i | ||||
\(743\) | −2.71901 | − | 8.36824i | −0.0997506 | − | 0.307001i | 0.888712 | − | 0.458466i | \(-0.151601\pi\) |
−0.988463 | + | 0.151465i | \(0.951601\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.5406 | + | 9.11130i | −0.459453 | + | 0.333812i | ||||
\(746\) | −9.24443 | + | 28.4514i | −0.338463 | + | 1.04168i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 29.6188 | + | 20.2438i | 1.08297 | + | 0.740186i | ||||
\(749\) | 4.88892 | 0.178637 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −20.8619 | + | 15.1571i | −0.761261 | + | 0.553089i | −0.899297 | − | 0.437339i | \(-0.855921\pi\) |
0.138036 | + | 0.990427i | \(0.455921\pi\) | |||||||
\(752\) | −16.6586 | − | 12.1032i | −0.607478 | − | 0.441358i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −8.02760 | − | 24.7064i | −0.292348 | − | 0.899754i | ||||
\(755\) | 4.49360 | + | 3.26479i | 0.163539 | + | 0.118818i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.3823 | − | 38.1087i | 0.450041 | − | 1.38508i | −0.426818 | − | 0.904338i | \(-0.640366\pi\) |
0.876859 | − | 0.480747i | \(-0.159634\pi\) | |||||||
\(758\) | 13.7362 | 0.498920 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.77532 | −0.100672 | ||||||||
\(761\) | −5.54238 | + | 17.0577i | −0.200911 | + | 0.618340i | 0.798946 | + | 0.601403i | \(0.205392\pi\) |
−0.999857 | + | 0.0169371i | \(0.994608\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.52145 | + | 1.10540i | 0.0550801 | + | 0.0400180i | ||||
\(764\) | −11.0668 | − | 34.0602i | −0.400384 | − | 1.23226i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −52.2648 | − | 37.9726i | −1.88840 | − | 1.37201i | ||||
\(767\) | −6.79856 | + | 4.93945i | −0.245482 | + | 0.178353i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.8431 | −0.391011 | −0.195506 | − | 0.980703i | \(-0.562635\pi\) | ||||
−0.195506 | + | 0.980703i | \(0.562635\pi\) | |||||||
\(770\) | −3.17435 | + | 2.44884i | −0.114395 | + | 0.0882501i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.27564 | − | 7.00369i | 0.0819020 | − | 0.252068i | ||||
\(773\) | −5.55690 | + | 4.03732i | −0.199868 | + | 0.145212i | −0.683218 | − | 0.730215i | \(-0.739420\pi\) |
0.483350 | + | 0.875427i | \(0.339420\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.611585 | − | 1.88227i | −0.0219688 | − | 0.0676130i | ||||
\(776\) | −0.843185 | − | 2.59506i | −0.0302686 | − | 0.0931571i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −64.6238 | + | 46.9519i | −2.31687 | + | 1.68331i | ||||
\(779\) | −8.58503 | + | 26.4220i | −0.307591 | + | 0.946667i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.25610 | − | 0.122474i | 0.152295 | − | 0.00438248i | ||||
\(782\) | −0.829623 | −0.0296673 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −19.1767 | + | 13.9327i | −0.684881 | + | 0.497595i | ||||
\(785\) | −14.9761 | − | 10.8808i | −0.534521 | − | 0.388352i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.701367 | + | 2.15858i | 0.0250010 | + | 0.0769452i | 0.962779 | − | 0.270291i | \(-0.0871201\pi\) |
−0.937778 | + | 0.347237i | \(0.887120\pi\) | |||||||
\(788\) | −17.3984 | − | 12.6407i | −0.619792 | − | 0.450306i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 7.06145 | − | 21.7329i | 0.251235 | − | 0.773222i | ||||
\(791\) | 6.77869 | 0.241022 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.44509 | −0.0513166 | ||||||||
\(794\) | 17.2026 | − | 52.9442i | 0.610498 | − | 1.87892i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −17.5922 | − | 12.7815i | −0.623539 | − | 0.453028i | ||||
\(797\) | −3.41660 | − | 10.5152i | −0.121022 | − | 0.372468i | 0.872133 | − | 0.489269i | \(-0.162736\pi\) |
−0.993155 | + | 0.116800i | \(0.962736\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −23.0006 | − | 16.7109i | −0.813703 | − | 0.591190i | ||||
\(800\) | 6.56547 | − | 4.77010i | 0.232125 | − | 0.168648i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −27.0356 | −0.954660 | ||||||||
\(803\) | 41.0371 | − | 31.6580i | 1.44817 | − | 1.11719i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0150021 | − | 0.0461717i | 0.000528754 | − | 0.00162734i | ||||
\(806\) | 4.93737 | − | 3.58721i | 0.173911 | − | 0.126354i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.747602 | + | 2.30088i | 0.0263006 | + | 0.0809448i | ||||
\(809\) | −1.32961 | − | 4.09212i | −0.0467466 | − | 0.143871i | 0.924959 | − | 0.380067i | \(-0.124099\pi\) |
−0.971705 | + | 0.236196i | \(0.924099\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 15.1451 | − | 11.0036i | 0.531817 | − | 0.386387i | −0.289220 | − | 0.957263i | \(-0.593396\pi\) |
0.821037 | + | 0.570875i | \(0.193396\pi\) | |||||||
\(812\) | 3.37653 | − | 10.3919i | 0.118493 | − | 0.364683i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.18057 | − | 22.9126i | −0.286729 | − | 0.803085i | ||||
\(815\) | −7.81457 | −0.273733 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −26.8256 | + | 19.4899i | −0.938508 | + | 0.681866i | ||||
\(818\) | 16.4567 | + | 11.9565i | 0.575394 | + | 0.418048i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.76734 | + | 8.51699i | 0.0966396 | + | 0.297426i | ||||
\(821\) | 29.4674 | + | 21.4093i | 1.02842 | + | 0.747189i | 0.967991 | − | 0.250983i | \(-0.0807539\pi\) |
0.0604266 | + | 0.998173i | \(0.480754\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.470329 | + | 1.44752i | −0.0163946 | + | 0.0504575i | −0.958919 | − | 0.283679i | \(-0.908445\pi\) |
0.942525 | + | 0.334137i | \(0.108445\pi\) | |||||||
\(824\) | 0.787594 | 0.0274371 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.75000 | −0.234863 | ||||||||
\(827\) | −7.85490 | + | 24.1749i | −0.273141 | + | 0.840643i | 0.716564 | + | 0.697522i | \(0.245714\pi\) |
−0.989705 | + | 0.143121i | \(0.954286\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.87760 | + | 4.99687i | 0.238869 | + | 0.173548i | 0.700779 | − | 0.713378i | \(-0.252836\pi\) |
−0.461910 | + | 0.886927i | \(0.652836\pi\) | |||||||
\(830\) | −2.54045 | − | 7.81871i | −0.0881804 | − | 0.271391i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 11.5686 | + | 8.40511i | 0.401070 | + | 0.291395i | ||||
\(833\) | −26.4773 | + | 19.2369i | −0.917383 | + | 0.666518i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.96190 | 0.206320 | ||||||||
\(836\) | 14.0020 | − | 47.7232i | 0.484269 | − | 1.65054i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 16.7336 | − | 51.5007i | 0.578052 | − | 1.77906i | ||||
\(839\) | −35.9783 | + | 26.1398i | −1.24211 | + | 0.902445i | −0.997737 | − | 0.0672363i | \(-0.978582\pi\) |
−0.244372 | + | 0.969682i | \(0.578582\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.9697 | + | 39.9168i | 0.447233 | + | 1.37644i | ||||
\(842\) | 8.70573 | + | 26.7935i | 0.300019 | + | 0.923364i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 39.4311 | − | 28.6484i | 1.35728 | − | 0.986119i | ||||
\(845\) | 3.31737 | − | 10.2098i | 0.114121 | − | 0.351228i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.35689 | − | 6.04616i | −0.0809835 | − | 0.207748i | ||||
\(848\) | 24.1372 | 0.828877 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 8.15593 | − | 5.92563i | 0.279746 | − | 0.203248i | ||||
\(851\) | 0.238343 | + | 0.173166i | 0.00817028 | + | 0.00593605i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.61289 | + | 26.5077i | 0.294900 | + | 0.907608i | 0.983255 | + | 0.182234i | \(0.0583329\pi\) |
−0.688356 | + | 0.725373i | \(0.741667\pi\) | |||||||
\(854\) | −0.939066 | − | 0.682271i | −0.0321342 | − | 0.0233468i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.04203 | + | 3.20705i | −0.0356160 | + | 0.109615i | ||||
\(857\) | −23.1342 | −0.790249 | −0.395125 | − | 0.918628i | \(-0.629299\pi\) | ||||
−0.395125 | + | 0.918628i | \(0.629299\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 51.9912 | 1.77392 | 0.886959 | − | 0.461849i | \(-0.152814\pi\) | ||||
0.886959 | + | 0.461849i | \(0.152814\pi\) | |||||||
\(860\) | −3.30289 | + | 10.1652i | −0.112628 | + | 0.346632i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 33.1076 | + | 24.0541i | 1.12765 | + | 0.819285i | ||||
\(863\) | 9.02589 | + | 27.7788i | 0.307245 | + | 0.945603i | 0.978830 | + | 0.204675i | \(0.0656139\pi\) |
−0.671585 | + | 0.740928i | \(0.734386\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 13.4085 | + | 9.74186i | 0.455903 | + | 0.331233i | ||||
\(866\) | −27.5219 | + | 19.9958i | −0.935233 | + | 0.679486i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.56698 | 0.0871289 | ||||||||
\(869\) | 30.5366 | + | 20.8711i | 1.03588 | + | 0.708002i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.35060 | − | 19.5451i | 0.215182 | − | 0.662262i | ||||
\(872\) | −1.04941 | + | 0.762438i | −0.0355374 | + | 0.0258194i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.355403 | + | 1.09382i | 0.0120217 | + | 0.0369989i | ||||
\(875\) | 0.182300 | + | 0.561062i | 0.00616287 | + | 0.0189674i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −27.9723 | + | 20.3231i | −0.944558 | + | 0.686262i | −0.949514 | − | 0.313726i | \(-0.898423\pi\) |
0.00495520 | + | 0.999988i | \(0.498423\pi\) | |||||||
\(878\) | −17.9601 | + | 55.2756i | −0.606125 | + | 1.86546i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3.97391 | + | 11.1303i | 0.133960 | + | 0.375203i | ||||
\(881\) | −44.3728 | −1.49496 | −0.747479 | − | 0.664285i | \(-0.768736\pi\) | ||||
−0.747479 | + | 0.664285i | \(0.768736\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 23.2824 | − | 16.9156i | 0.783514 | − | 0.569256i | −0.122518 | − | 0.992466i | \(-0.539097\pi\) |
0.906032 | + | 0.423210i | \(0.139097\pi\) | |||||||
\(884\) | 13.1697 | + | 9.56837i | 0.442946 | + | 0.321819i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.3624 | − | 44.2029i | −0.482514 | − | 1.48503i | ||||
\(887\) | −7.53096 | − | 5.47156i | −0.252865 | − | 0.183717i | 0.454131 | − | 0.890935i | \(-0.349950\pi\) |
−0.706996 | + | 0.707218i | \(0.749950\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.31630 | + | 10.2065i | −0.111225 | + | 0.342316i | ||||
\(890\) | 12.4618 | 0.417721 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 27.1301 | 0.908383 | ||||||||
\(893\) | −12.1793 | + | 37.4840i | −0.407564 | + | 1.25435i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 17.4300 | + | 12.6637i | 0.582621 | + | 0.423299i | ||||
\(896\) | 0.590503 | + | 1.81738i | 0.0197273 | + | 0.0607145i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 7.59541 | + | 5.51839i | 0.253462 | + | 0.184151i | ||||
\(899\) | −13.4888 | + | 9.80018i | −0.449876 | + | 0.326854i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 33.3264 | 1.11026 | ||||||||
\(902\) | −27.6697 | + | 0.796231i | −0.921301 | + | 0.0265116i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.44482 | + | 4.44671i | −0.0480541 | + | 0.147895i | ||||
\(905\) | −16.3182 | + | 11.8559i | −0.542435 | + | 0.394102i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −13.7217 | − | 42.2311i | −0.455622 | − | 1.40226i | −0.870404 | − | 0.492339i | \(-0.836142\pi\) |
0.414782 | − | 0.909921i | \(-0.363858\pi\) | |||||||
\(908\) | 5.58573 | + | 17.1911i | 0.185369 | + | 0.570507i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.47172 | + | 1.06927i | −0.0487871 | + | 0.0354459i | ||||
\(911\) | −7.30385 | + | 22.4789i | −0.241987 | + | 0.744761i | 0.754130 | + | 0.656725i | \(0.228059\pi\) |
−0.996117 | + | 0.0880355i | \(0.971941\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.3013 | − | 0.382761i | 0.440209 | − | 0.0126676i | ||||
\(914\) | 13.7816 | 0.455855 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −48.1038 | + | 34.9495i | −1.58940 | + | 1.15476i | ||||
\(917\) | −8.96109 | − | 6.51062i | −0.295921 | − | 0.214999i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.11809 | + | 6.51882i | 0.0698694 | + | 0.215036i | 0.979894 | − | 0.199518i | \(-0.0639376\pi\) |
−0.910025 | + | 0.414554i | \(0.863938\pi\) | |||||||
\(920\) | 0.0270903 | + | 0.0196823i | 0.000893141 | + | 0.000648905i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.79527 | − | 5.52529i | 0.0591242 | − | 0.181966i | ||||
\(923\) | 1.93200 | 0.0635925 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.57997 | −0.117709 | ||||||||
\(926\) | 13.0119 | − | 40.0465i | 0.427598 | − | 1.31601i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −55.3104 | − | 40.1853i | −1.81565 | − | 1.31915i | ||||
\(929\) | 8.79954 | + | 27.0822i | 0.288704 | + | 0.888539i | 0.985264 | + | 0.171040i | \(0.0547129\pi\) |
−0.696560 | + | 0.717498i | \(0.745287\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 36.7055 | + | 26.6681i | 1.20297 | + | 0.874011i | ||||
\(932\) | 44.4747 | − | 32.3128i | 1.45682 | − | 1.05844i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 24.0954 | 0.788427 | ||||||||
\(935\) | 5.48678 | + | 15.3677i | 0.179437 | + | 0.502576i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −12.0926 | + | 37.2171i | −0.395047 | + | 1.21583i | 0.533878 | + | 0.845561i | \(0.320734\pi\) |
−0.928925 | + | 0.370268i | \(0.879266\pi\) | |||||||
\(938\) | 13.3547 | − | 9.70277i | 0.436047 | − | 0.316807i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 3.92592 | + | 12.0828i | 0.128050 | + | 0.394096i | ||||
\(941\) | 11.7635 | + | 36.2042i | 0.383478 | + | 1.18022i | 0.937579 | + | 0.347774i | \(0.113062\pi\) |
−0.554101 | + | 0.832450i | \(0.686938\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.271181 | − | 0.197025i | 0.00883087 | − | 0.00641600i | ||||
\(944\) | −6.14887 | + | 18.9243i | −0.200129 | + | 0.615932i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −27.2760 | − | 18.6425i | −0.886819 | − | 0.606120i | ||||
\(947\) | −6.37140 | −0.207043 | −0.103521 | − | 0.994627i | \(-0.533011\pi\) | ||||
−0.103521 | + | 0.994627i | \(0.533011\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 19.0260 | − | 13.8232i | 0.617611 | − | 0.448720i | ||||
\(950\) | −11.3066 | − | 8.21471i | −0.366834 | − | 0.266521i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.364958 | + | 1.12323i | 0.0118284 | + | 0.0364040i | ||||
\(953\) | −2.34889 | − | 1.70657i | −0.0760881 | − | 0.0552812i | 0.549091 | − | 0.835763i | \(-0.314974\pi\) |
−0.625179 | + | 0.780481i | \(0.714974\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.03362 | − | 15.4919i | 0.162884 | − | 0.501306i | ||||
\(956\) | 45.5573 | 1.47343 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.11929 | −0.100780 | ||||||||
\(959\) | −0.861738 | + | 2.65216i | −0.0278270 | + | 0.0856427i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.9106 | + | 15.9190i | 0.706795 | + | 0.513516i | ||||
\(962\) | −3.41134 | − | 10.4990i | −0.109986 | − | 0.338502i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 41.6739 | + | 30.2779i | 1.34223 | + | 0.975184i | ||||
\(965\) | 2.70979 | − | 1.96878i | 0.0872312 | − | 0.0633772i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.58404 | −0.308202 | −0.154101 | − | 0.988055i | \(-0.549248\pi\) | ||||
−0.154101 | + | 0.988055i | \(0.549248\pi\) | |||||||
\(968\) | 4.46853 | − | 0.257388i | 0.143624 | − | 0.00827277i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.24603 | − | 13.0679i | 0.136332 | − | 0.419586i | ||||
\(971\) | −43.5570 | + | 31.6460i | −1.39781 | + | 1.01557i | −0.402855 | + | 0.915264i | \(0.631982\pi\) |
−0.994957 | + | 0.100305i | \(0.968018\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.36776 | + | 10.3649i | 0.107965 | + | 0.332284i | ||||
\(974\) | 22.4769 | + | 69.1769i | 0.720207 | + | 2.21657i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.76825 | + | 2.01125i | −0.0886094 | + | 0.0643785i | ||||
\(977\) | 9.10421 | − | 28.0199i | 0.291269 | − | 0.896435i | −0.693180 | − | 0.720765i | \(-0.743791\pi\) |
0.984449 | − | 0.175670i | \(-0.0562093\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.67878 | + | 19.3551i | −0.181495 | + | 0.618591i | ||||
\(980\) | 14.6249 | 0.467176 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 21.0155 | − | 15.2686i | 0.670631 | − | 0.487242i | ||||
\(983\) | 36.3841 | + | 26.4346i | 1.16047 | + | 0.843132i | 0.989838 | − | 0.142203i | \(-0.0454185\pi\) |
0.170634 | + | 0.985335i | \(0.445419\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.02267 | − | 9.30284i | −0.0963104 | − | 0.296413i | ||||
\(986\) | −68.7091 | − | 49.9201i | −2.18814 | − | 1.58978i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.97363 | − | 21.4626i | 0.221861 | − | 0.682818i | ||||
\(989\) | 0.400068 | 0.0127214 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 30.3468 | 0.963997 | 0.481998 | − | 0.876172i | \(-0.339911\pi\) | ||||
0.481998 | + | 0.876172i | \(0.339911\pi\) | |||||||
\(992\) | 4.96324 | − | 15.2753i | 0.157583 | − | 0.484991i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.25548 | + | 0.912157i | 0.0398213 | + | 0.0289319i | ||||
\(995\) | −3.05634 | − | 9.40646i | −0.0968926 | − | 0.298205i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.6436 | + | 14.2719i | 0.622119 | + | 0.451996i | 0.853661 | − | 0.520829i | \(-0.174377\pi\) |
−0.231542 | + | 0.972825i | \(0.574377\pi\) | |||||||
\(998\) | −34.9077 | + | 25.3619i | −1.10498 | + | 0.802817i | ||||
\(999\) | 0 | 0 |
(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 | 495.2.n.h.361.4 | yes | 16 | |
3.2 | odd | 2 | 495.2.n.g.361.1 | yes | 16 | ||
11.4 | even | 5 | 5445.2.a.ca.1.8 | 8 | |||
11.5 | even | 5 | inner | 495.2.n.h.181.4 | yes | 16 | |
11.7 | odd | 10 | 5445.2.a.cc.1.1 | 8 | |||
33.5 | odd | 10 | 495.2.n.g.181.1 | ✓ | 16 | ||
33.26 | odd | 10 | 5445.2.a.cd.1.1 | 8 | |||
33.29 | even | 10 | 5445.2.a.cb.1.8 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.n.g.181.1 | ✓ | 16 | 33.5 | odd | 10 | ||
495.2.n.g.361.1 | yes | 16 | 3.2 | odd | 2 | ||
495.2.n.h.181.4 | yes | 16 | 11.5 | even | 5 | inner | |
495.2.n.h.361.4 | yes | 16 | 1.1 | even | 1 | trivial | |
5445.2.a.ca.1.8 | 8 | 11.4 | even | 5 | |||
5445.2.a.cb.1.8 | 8 | 33.29 | even | 10 | |||
5445.2.a.cc.1.1 | 8 | 11.7 | odd | 10 | |||
5445.2.a.cd.1.1 | 8 | 33.26 | odd | 10 |