Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(91,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.h (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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 6 x^{10} - 26 x^{9} + 61 x^{8} - 120 x^{7} + 465 x^{6} - 600 x^{5} + 1525 x^{4} + \cdots + 15625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 181.1 | ||
Root | \(1.95382 - 1.08748i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 450.181 |
Dual form | 450.2.h.g.271.1 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | −1.95382 | + | 1.08748i | −0.873773 | + | 0.486334i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.757055 | 0.286140 | 0.143070 | − | 0.989713i | \(-0.454303\pi\) | ||||
0.143070 | + | 0.989713i | \(0.454303\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.63801 | + | 1.52214i | 0.517985 | + | 0.481343i | ||||
\(11\) | −1.05531 | − | 3.24790i | −0.318187 | − | 0.979280i | −0.974423 | − | 0.224724i | \(-0.927852\pi\) |
0.656235 | − | 0.754556i | \(-0.272148\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.64480 | − | 5.06217i | 0.456185 | − | 1.40399i | −0.413553 | − | 0.910480i | \(-0.635712\pi\) |
0.869738 | − | 0.493513i | \(-0.164288\pi\) | |||||||
\(14\) | −0.233943 | − | 0.720002i | −0.0625238 | − | 0.192429i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −3.87565 | − | 2.81582i | −0.939983 | − | 0.682937i | 0.00843371 | − | 0.999964i | \(-0.497315\pi\) |
−0.948417 | + | 0.317027i | \(0.897315\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.298039 | − | 0.216538i | −0.0683749 | − | 0.0496773i | 0.553073 | − | 0.833133i | \(-0.313455\pi\) |
−0.621448 | + | 0.783456i | \(0.713455\pi\) | |||||||
\(20\) | 0.941467 | − | 2.02821i | 0.210518 | − | 0.453522i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.76283 | + | 2.00732i | −0.589038 | + | 0.427961i | ||||
\(23\) | −1.43384 | − | 4.41289i | −0.298975 | − | 0.920152i | −0.981857 | − | 0.189623i | \(-0.939274\pi\) |
0.682882 | − | 0.730529i | \(-0.260726\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.63479 | − | 4.24946i | 0.526958 | − | 0.849891i | ||||
\(26\) | −5.32268 | −1.04386 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.612470 | + | 0.444986i | −0.115746 | + | 0.0840944i | ||||
\(29\) | −0.127036 | + | 0.0922973i | −0.0235901 | + | 0.0171392i | −0.599518 | − | 0.800361i | \(-0.704641\pi\) |
0.575928 | + | 0.817501i | \(0.304641\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.70430 | − | 2.69133i | −0.665312 | − | 0.483377i | 0.203141 | − | 0.979150i | \(-0.434885\pi\) |
−0.868453 | + | 0.495772i | \(0.834885\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.48037 | + | 4.55610i | −0.253881 | + | 0.781364i | ||||
\(35\) | −1.47915 | + | 0.823279i | −0.250021 | + | 0.139160i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.49762 | + | 7.68689i | −0.410607 | + | 1.26372i | 0.505515 | + | 0.862818i | \(0.331302\pi\) |
−0.916122 | + | 0.400900i | \(0.868698\pi\) | |||||||
\(38\) | −0.113841 | + | 0.350366i | −0.0184674 | + | 0.0568369i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.21987 | − | 0.268637i | −0.350993 | − | 0.0424752i | ||||
\(41\) | −0.678849 | + | 2.08928i | −0.106018 | + | 0.326291i | −0.989968 | − | 0.141291i | \(-0.954875\pi\) |
0.883950 | + | 0.467582i | \(0.154875\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.65386 | 1.16720 | 0.583601 | − | 0.812040i | \(-0.301643\pi\) | ||||
0.583601 | + | 0.812040i | \(0.301643\pi\) | |||||||
\(44\) | 2.76283 | + | 2.00732i | 0.416513 | + | 0.302614i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.75383 | + | 2.72732i | −0.553472 | + | 0.402121i | ||||
\(47\) | 9.14961 | − | 6.64758i | 1.33461 | − | 0.969649i | 0.334984 | − | 0.942224i | \(-0.391269\pi\) |
0.999624 | − | 0.0274252i | \(-0.00873082\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.42687 | −0.918124 | ||||||||
\(50\) | −4.85567 | − | 1.19268i | −0.686695 | − | 0.168670i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.64480 | + | 5.06217i | 0.228092 | + | 0.701997i | ||||
\(53\) | 4.41541 | − | 3.20798i | 0.606504 | − | 0.440651i | −0.241678 | − | 0.970357i | \(-0.577698\pi\) |
0.848181 | + | 0.529706i | \(0.177698\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.59390 | + | 5.19818i | 0.754281 | + | 0.700923i | ||||
\(56\) | 0.612470 | + | 0.444986i | 0.0818448 | + | 0.0594637i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.127036 | + | 0.0922973i | 0.0166807 | + | 0.0121192i | ||||
\(59\) | −2.79557 | + | 8.60388i | −0.363952 | + | 1.12013i | 0.586683 | + | 0.809817i | \(0.300434\pi\) |
−0.950635 | + | 0.310312i | \(0.899566\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.05146 | − | 12.4691i | −0.518736 | − | 1.59651i | −0.776379 | − | 0.630266i | \(-0.782946\pi\) |
0.257643 | − | 0.966240i | \(-0.417054\pi\) | |||||||
\(62\) | −1.41492 | + | 4.35467i | −0.179695 | + | 0.553043i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 2.29136 | + | 11.6792i | 0.284208 | + | 1.44863i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.28438 | + | 1.65970i | 0.279081 | + | 0.202764i | 0.718517 | − | 0.695510i | \(-0.244821\pi\) |
−0.439435 | + | 0.898274i | \(0.644821\pi\) | |||||||
\(68\) | 4.79056 | 0.580941 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.24007 | + | 1.15234i | 0.148216 | + | 0.137731i | ||||
\(71\) | −5.67313 | + | 4.12177i | −0.673276 | + | 0.489164i | −0.871120 | − | 0.491070i | \(-0.836606\pi\) |
0.197844 | + | 0.980234i | \(0.436606\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.80108 | − | 11.6985i | −0.444882 | − | 1.36921i | −0.882613 | − | 0.470101i | \(-0.844218\pi\) |
0.437731 | − | 0.899106i | \(-0.355782\pi\) | |||||||
\(74\) | 8.08248 | 0.939569 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.368397 | 0.0422580 | ||||||||
\(77\) | −0.798926 | − | 2.45884i | −0.0910461 | − | 0.280211i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.2665 | + | 8.91212i | −1.38009 | + | 1.00269i | −0.383215 | + | 0.923659i | \(0.625183\pi\) |
−0.996872 | + | 0.0790332i | \(0.974817\pi\) | |||||||
\(80\) | 0.430490 | + | 2.19424i | 0.0481302 | + | 0.245323i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.19680 | 0.242596 | ||||||||
\(83\) | 5.60559 | + | 4.07270i | 0.615294 | + | 0.447037i | 0.851274 | − | 0.524721i | \(-0.175830\pi\) |
−0.235981 | + | 0.971758i | \(0.575830\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 10.6344 | + | 1.28692i | 1.15347 | + | 0.139586i | ||||
\(86\) | −2.36517 | − | 7.27925i | −0.255043 | − | 0.784942i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.05531 | − | 3.24790i | 0.112496 | − | 0.346228i | ||||
\(89\) | 0.281367 | + | 0.865958i | 0.0298248 | + | 0.0917913i | 0.964861 | − | 0.262761i | \(-0.0846332\pi\) |
−0.935036 | + | 0.354553i | \(0.884633\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.24520 | − | 3.83234i | 0.130533 | − | 0.401738i | ||||
\(92\) | 3.75383 | + | 2.72732i | 0.391364 | + | 0.284342i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −9.14961 | − | 6.64758i | −0.943710 | − | 0.685645i | ||||
\(95\) | 0.817795 | + | 0.0989650i | 0.0839039 | + | 0.0101536i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.80543 | − | 2.03826i | 0.284848 | − | 0.206954i | −0.436181 | − | 0.899859i | \(-0.643669\pi\) |
0.721029 | + | 0.692905i | \(0.243669\pi\) | |||||||
\(98\) | 1.98601 | + | 6.11231i | 0.200617 | + | 0.617437i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.366179 | + | 4.98657i | 0.0366179 | + | 0.498657i | ||||
\(101\) | 14.2056 | 1.41351 | 0.706756 | − | 0.707458i | \(-0.250158\pi\) | ||||
0.706756 | + | 0.707458i | \(0.250158\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.20080 | − | 3.05206i | 0.413917 | − | 0.300728i | −0.361269 | − | 0.932462i | \(-0.617656\pi\) |
0.775186 | + | 0.631733i | \(0.217656\pi\) | |||||||
\(104\) | 4.30614 | − | 3.12859i | 0.422252 | − | 0.306784i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.41541 | − | 3.20798i | −0.428863 | − | 0.311587i | ||||
\(107\) | −0.635311 | −0.0614178 | −0.0307089 | − | 0.999528i | \(-0.509776\pi\) | ||||
−0.0307089 | + | 0.999528i | \(0.509776\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.09912 | − | 6.46041i | 0.201059 | − | 0.618795i | −0.798793 | − | 0.601605i | \(-0.794528\pi\) |
0.999852 | − | 0.0171899i | \(-0.00547198\pi\) | |||||||
\(110\) | 3.21516 | − | 6.92644i | 0.306553 | − | 0.660410i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.233943 | − | 0.720002i | 0.0221055 | − | 0.0680338i | ||||
\(113\) | −0.528020 | + | 1.62508i | −0.0496720 | + | 0.152875i | −0.972816 | − | 0.231580i | \(-0.925610\pi\) |
0.923144 | + | 0.384455i | \(0.125610\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.60037 | + | 7.06271i | 0.708738 | + | 0.658601i | ||||
\(116\) | 0.0485236 | − | 0.149340i | 0.00450530 | − | 0.0138659i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.04665 | 0.832812 | ||||||||
\(119\) | −2.93408 | − | 2.13173i | −0.268967 | − | 0.195416i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.536020 | + | 0.389441i | −0.0487291 | + | 0.0354038i | ||||
\(122\) | −10.6069 | + | 7.70634i | −0.960300 | + | 0.697699i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.57877 | 0.411185 | ||||||||
\(125\) | −0.526706 | + | 11.1679i | −0.0471100 | + | 0.998890i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.81950 | + | 14.8329i | 0.427662 | + | 1.31621i | 0.900422 | + | 0.435017i | \(0.143258\pi\) |
−0.472760 | + | 0.881191i | \(0.656742\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.3995 | − | 5.78829i | 0.912099 | − | 0.507667i | ||||
\(131\) | 13.2991 | + | 9.66234i | 1.16194 | + | 0.844202i | 0.990023 | − | 0.140908i | \(-0.0450023\pi\) |
0.171922 | + | 0.985111i | \(0.445002\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.225632 | − | 0.163931i | −0.0195648 | − | 0.0142147i | ||||
\(134\) | 0.872555 | − | 2.68545i | 0.0753773 | − | 0.231987i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.48037 | − | 4.55610i | −0.126940 | − | 0.390682i | ||||
\(137\) | 2.38994 | − | 7.35549i | 0.204187 | − | 0.628422i | −0.795559 | − | 0.605876i | \(-0.792823\pi\) |
0.999746 | − | 0.0225460i | \(-0.00717722\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.44740 | + | 10.6100i | 0.292405 | + | 0.899930i | 0.984081 | + | 0.177722i | \(0.0568728\pi\) |
−0.691676 | + | 0.722208i | \(0.743127\pi\) | |||||||
\(140\) | 0.712742 | − | 1.53547i | 0.0602377 | − | 0.129771i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.67313 | + | 4.12177i | 0.476078 | + | 0.345891i | ||||
\(143\) | −18.1772 | −1.52005 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.147834 | − | 0.318481i | 0.0122770 | − | 0.0264484i | ||||
\(146\) | −9.95134 | + | 7.23008i | −0.823579 | + | 0.598365i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.49762 | − | 7.68689i | −0.205303 | − | 0.631859i | ||||
\(149\) | 2.23707 | 0.183268 | 0.0916340 | − | 0.995793i | \(-0.470791\pi\) | ||||
0.0916340 | + | 0.995793i | \(0.470791\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −18.8597 | −1.53478 | −0.767391 | − | 0.641180i | \(-0.778445\pi\) | ||||
−0.767391 | + | 0.641180i | \(0.778445\pi\) | |||||||
\(152\) | −0.113841 | − | 0.350366i | −0.00923372 | − | 0.0284185i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.09162 | + | 1.51965i | −0.168547 | + | 0.122457i | ||||
\(155\) | 10.1643 | + | 1.23002i | 0.816414 | + | 0.0987980i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.08881 | −0.246514 | −0.123257 | − | 0.992375i | \(-0.539334\pi\) | ||||
−0.123257 | + | 0.992375i | \(0.539334\pi\) | |||||||
\(158\) | 12.2665 | + | 8.91212i | 0.975869 | + | 0.709010i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.95382 | − | 1.08748i | 0.154463 | − | 0.0859726i | ||||
\(161\) | −1.08549 | − | 3.34080i | −0.0855488 | − | 0.263292i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.06026 | + | 12.4962i | −0.318024 | + | 0.978776i | 0.656468 | + | 0.754354i | \(0.272050\pi\) |
−0.974492 | + | 0.224423i | \(0.927950\pi\) | |||||||
\(164\) | −0.678849 | − | 2.08928i | −0.0530092 | − | 0.163145i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.14115 | − | 6.58977i | 0.166185 | − | 0.511465i | ||||
\(167\) | 13.1244 | + | 9.53541i | 1.01559 | + | 0.737873i | 0.965375 | − | 0.260866i | \(-0.0840080\pi\) |
0.0502193 | + | 0.998738i | \(0.484008\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.4030 | − | 9.01129i | −0.954075 | − | 0.693176i | ||||
\(170\) | −2.06229 | − | 10.5116i | −0.158170 | − | 0.806206i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.19210 | + | 4.49882i | −0.472143 | + | 0.343032i | ||||
\(173\) | −6.93923 | − | 21.3567i | −0.527580 | − | 1.62372i | −0.759157 | − | 0.650907i | \(-0.774389\pi\) |
0.231578 | − | 0.972816i | \(-0.425611\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.99468 | − | 3.21707i | 0.150784 | − | 0.243188i | ||||
\(176\) | −3.41505 | −0.257419 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.736628 | − | 0.535191i | 0.0552126 | − | 0.0401143i | ||||
\(179\) | −15.2206 | + | 11.0584i | −1.13764 | + | 0.826542i | −0.986788 | − | 0.162015i | \(-0.948201\pi\) |
−0.150849 | + | 0.988557i | \(0.548201\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.94947 | − | 5.04909i | −0.516550 | − | 0.375296i | 0.298753 | − | 0.954331i | \(-0.403429\pi\) |
−0.815303 | + | 0.579035i | \(0.803429\pi\) | |||||||
\(182\) | −4.02956 | −0.298691 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.43384 | − | 4.41289i | 0.105704 | − | 0.325323i | ||||
\(185\) | −3.47942 | − | 17.7349i | −0.255812 | − | 1.30389i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.05552 | + | 15.5593i | −0.369696 | + | 1.13781i | ||||
\(188\) | −3.49484 | + | 10.7560i | −0.254887 | + | 0.784463i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.158591 | − | 0.808351i | −0.0115054 | − | 0.0586439i | ||||
\(191\) | 6.85405 | − | 21.0946i | 0.495941 | − | 1.52635i | −0.319543 | − | 0.947572i | \(-0.603529\pi\) |
0.815485 | − | 0.578779i | \(-0.196471\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 14.8635 | 1.06990 | 0.534948 | − | 0.844885i | \(-0.320331\pi\) | ||||
0.534948 | + | 0.844885i | \(0.320331\pi\) | |||||||
\(194\) | −2.80543 | − | 2.03826i | −0.201418 | − | 0.146339i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.19945 | − | 3.77762i | 0.371389 | − | 0.269830i | ||||
\(197\) | −2.07042 | + | 1.50425i | −0.147511 | + | 0.107173i | −0.659093 | − | 0.752061i | \(-0.729060\pi\) |
0.511582 | + | 0.859234i | \(0.329060\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.87380 | 0.132830 | 0.0664151 | − | 0.997792i | \(-0.478844\pi\) | ||||
0.0664151 | + | 0.997792i | \(0.478844\pi\) | |||||||
\(200\) | 4.62936 | − | 1.88919i | 0.327345 | − | 0.133586i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.38978 | − | 13.5103i | −0.308864 | − | 0.950584i | ||||
\(203\) | −0.0961735 | + | 0.0698741i | −0.00675006 | + | 0.00490420i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.945700 | − | 4.82030i | −0.0660505 | − | 0.336664i | ||||
\(206\) | −4.20080 | − | 3.05206i | −0.292683 | − | 0.212647i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.30614 | − | 3.12859i | −0.298577 | − | 0.216929i | ||||
\(209\) | −0.388772 | + | 1.19652i | −0.0268919 | + | 0.0827649i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.40860 | + | 16.6460i | 0.372343 | + | 1.14595i | 0.945254 | + | 0.326337i | \(0.105814\pi\) |
−0.572910 | + | 0.819618i | \(0.694186\pi\) | |||||||
\(212\) | −1.68654 | + | 5.19063i | −0.115832 | + | 0.356494i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.196322 | + | 0.604217i | 0.0134203 | + | 0.0413034i | ||||
\(215\) | −14.9542 | + | 8.32339i | −1.01987 | + | 0.567651i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.80436 | − | 2.03749i | −0.190372 | − | 0.138314i | ||||
\(218\) | −6.79288 | −0.460072 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −7.58097 | − | 0.917408i | −0.511109 | − | 0.0618516i | ||||
\(221\) | −20.6288 | + | 14.9877i | −1.38765 | + | 1.00818i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.96128 | − | 21.4246i | −0.466162 | − | 1.43470i | −0.857516 | − | 0.514458i | \(-0.827993\pi\) |
0.391354 | − | 0.920240i | \(-0.372007\pi\) | |||||||
\(224\) | −0.757055 | −0.0505829 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.70871 | 0.113662 | ||||||||
\(227\) | −3.07802 | − | 9.47318i | −0.204296 | − | 0.628757i | −0.999742 | − | 0.0227328i | \(-0.992763\pi\) |
0.795446 | − | 0.606025i | \(-0.207237\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.49555 | + | 6.17238i | −0.561402 | + | 0.407882i | −0.831972 | − | 0.554818i | \(-0.812788\pi\) |
0.270570 | + | 0.962700i | \(0.412788\pi\) | |||||||
\(230\) | 4.36840 | − | 9.41088i | 0.288044 | − | 0.620535i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.157026 | −0.0103092 | ||||||||
\(233\) | −17.2663 | − | 12.5447i | −1.13115 | − | 0.821829i | −0.145289 | − | 0.989389i | \(-0.546411\pi\) |
−0.985862 | + | 0.167560i | \(0.946411\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.6476 | + | 22.9381i | −0.694570 | + | 1.49632i | ||||
\(236\) | −2.79557 | − | 8.60388i | −0.181976 | − | 0.560065i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.12072 | + | 3.44922i | −0.0726454 | + | 0.223579i | ||||
\(239\) | −7.75624 | − | 23.8712i | −0.501709 | − | 1.54410i | −0.806233 | − | 0.591598i | \(-0.798497\pi\) |
0.304524 | − | 0.952505i | \(-0.401503\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.89974 | + | 8.92448i | −0.186789 | + | 0.574876i | −0.999975 | − | 0.00712767i | \(-0.997731\pi\) |
0.813186 | + | 0.582004i | \(0.197731\pi\) | |||||||
\(242\) | 0.536020 | + | 0.389441i | 0.0344567 | + | 0.0250342i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 10.6069 | + | 7.70634i | 0.679035 | + | 0.493348i | ||||
\(245\) | 12.5569 | − | 6.98907i | 0.802232 | − | 0.446515i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.58637 | + | 1.15256i | −0.100938 | + | 0.0733359i | ||||
\(248\) | −1.41492 | − | 4.35467i | −0.0898473 | − | 0.276522i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.7841 | − | 2.95015i | 0.682046 | − | 0.186584i | ||||
\(251\) | 26.3827 | 1.66526 | 0.832630 | − | 0.553829i | \(-0.186834\pi\) | ||||
0.832630 | + | 0.553829i | \(0.186834\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.8195 | + | 9.31392i | −0.805956 | + | 0.585561i | ||||
\(254\) | 12.6176 | − | 9.16724i | 0.791700 | − | 0.575204i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −3.70789 | −0.231292 | −0.115646 | − | 0.993290i | \(-0.536894\pi\) | ||||
−0.115646 | + | 0.993290i | \(0.536894\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.89084 | + | 5.81940i | −0.117491 | + | 0.361600i | ||||
\(260\) | −8.71862 | − | 8.10186i | −0.540706 | − | 0.502456i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.07979 | − | 15.6340i | 0.313831 | − | 0.965871i | ||||
\(263\) | −4.66990 | + | 14.3725i | −0.287959 | + | 0.886245i | 0.697538 | + | 0.716548i | \(0.254279\pi\) |
−0.985496 | + | 0.169697i | \(0.945721\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.13829 | + | 11.0695i | −0.315643 | + | 0.679992i | ||||
\(266\) | −0.0861838 | + | 0.265247i | −0.00528427 | + | 0.0162633i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.82365 | −0.172482 | ||||||||
\(269\) | −14.8677 | − | 10.8020i | −0.906498 | − | 0.658609i | 0.0336287 | − | 0.999434i | \(-0.489294\pi\) |
−0.940127 | + | 0.340825i | \(0.889294\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.1346 | − | 13.9021i | 1.16235 | − | 0.844494i | 0.172273 | − | 0.985049i | \(-0.444889\pi\) |
0.990073 | + | 0.140555i | \(0.0448887\pi\) | |||||||
\(272\) | −3.87565 | + | 2.81582i | −0.234996 | + | 0.170734i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.73402 | −0.467229 | ||||||||
\(275\) | −16.5823 | − | 4.07306i | −0.999953 | − | 0.245615i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.77153 | − | 5.45220i | −0.106441 | − | 0.327591i | 0.883625 | − | 0.468195i | \(-0.155096\pi\) |
−0.990066 | + | 0.140604i | \(0.955096\pi\) | |||||||
\(278\) | 9.02542 | − | 6.55735i | 0.541309 | − | 0.393284i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.68057 | − | 0.203373i | −0.100433 | − | 0.0121538i | ||||
\(281\) | 26.0953 | + | 18.9593i | 1.55671 | + | 1.13102i | 0.938639 | + | 0.344900i | \(0.112087\pi\) |
0.618075 | + | 0.786119i | \(0.287913\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.6401 | + | 10.6367i | 0.870266 | + | 0.632285i | 0.930658 | − | 0.365889i | \(-0.119235\pi\) |
−0.0603923 | + | 0.998175i | \(0.519235\pi\) | |||||||
\(284\) | 2.16694 | − | 6.66916i | 0.128584 | − | 0.395742i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.61707 | + | 17.2876i | 0.332144 | + | 1.02223i | ||||
\(287\) | −0.513926 | + | 1.58170i | −0.0303361 | + | 0.0933648i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.83850 | + | 5.65832i | 0.108147 | + | 0.332843i | ||||
\(290\) | −0.348577 | − | 0.0421829i | −0.0204691 | − | 0.00247706i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 9.95134 | + | 7.23008i | 0.582358 | + | 0.423108i | ||||
\(293\) | −12.2210 | −0.713959 | −0.356979 | − | 0.934112i | \(-0.616193\pi\) | ||||
−0.356979 | + | 0.934112i | \(0.616193\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.89449 | − | 19.8505i | −0.226746 | − | 1.15574i | ||||
\(296\) | −6.53886 | + | 4.75076i | −0.380064 | + | 0.276132i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.691293 | − | 2.12758i | −0.0400455 | − | 0.123247i | ||||
\(299\) | −24.6972 | −1.42827 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.79439 | 0.333983 | ||||||||
\(302\) | 5.82797 | + | 17.9367i | 0.335362 | + | 1.03214i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.298039 | + | 0.216538i | −0.0170937 | + | 0.0124193i | ||||
\(305\) | 21.4757 | + | 19.9565i | 1.22969 | + | 1.14270i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 6.68293 | 0.381415 | 0.190708 | − | 0.981647i | \(-0.438922\pi\) | ||||
0.190708 | + | 0.981647i | \(0.438922\pi\) | |||||||
\(308\) | 2.09162 | + | 1.51965i | 0.119181 | + | 0.0865900i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.97111 | − | 10.0469i | −0.111952 | − | 0.570626i | ||||
\(311\) | −6.76848 | − | 20.8312i | −0.383805 | − | 1.18123i | −0.937343 | − | 0.348407i | \(-0.886723\pi\) |
0.553538 | − | 0.832824i | \(-0.313277\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.86393 | − | 5.73660i | 0.105356 | − | 0.324252i | −0.884458 | − | 0.466620i | \(-0.845472\pi\) |
0.989814 | + | 0.142368i | \(0.0454717\pi\) | |||||||
\(314\) | 0.954495 | + | 2.93763i | 0.0538653 | + | 0.165780i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.68538 | − | 14.4201i | 0.263573 | − | 0.811195i | ||||
\(317\) | −4.55828 | − | 3.31179i | −0.256019 | − | 0.186008i | 0.452371 | − | 0.891830i | \(-0.350578\pi\) |
−0.708390 | + | 0.705821i | \(0.750578\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.433835 | + | 0.315200i | 0.0242901 | + | 0.0176478i | ||||
\(320\) | −1.63801 | − | 1.52214i | −0.0915678 | − | 0.0850902i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.84185 | + | 2.06473i | −0.158370 | + | 0.115063i | ||||
\(323\) | 0.545362 | + | 1.67845i | 0.0303448 | + | 0.0933916i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −17.1778 | − | 20.3272i | −0.952851 | − | 1.12755i | ||||
\(326\) | 13.1393 | 0.727716 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.77725 | + | 1.29125i | −0.0981321 | + | 0.0712972i | ||||
\(329\) | 6.92675 | − | 5.03258i | 0.381884 | − | 0.277455i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.8782 | + | 15.8954i | 1.20253 | + | 0.873693i | 0.994532 | − | 0.104436i | \(-0.0333036\pi\) |
0.208003 | + | 0.978128i | \(0.433304\pi\) | |||||||
\(332\) | −6.92889 | −0.380272 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.01306 | − | 15.4286i | 0.274303 | − | 0.844217i | ||||
\(335\) | −6.26814 | − | 0.758536i | −0.342465 | − | 0.0414432i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.76296 | − | 17.7366i | 0.313929 | − | 0.966173i | −0.662265 | − | 0.749270i | \(-0.730405\pi\) |
0.976193 | − | 0.216903i | \(-0.0695954\pi\) | |||||||
\(338\) | −4.73751 | + | 14.5806i | −0.257687 | + | 0.793078i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9.35988 | + | 5.20963i | −0.507611 | + | 0.282532i | ||||
\(341\) | −4.83201 | + | 14.8714i | −0.261668 | + | 0.805331i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.1649 | −0.548852 | ||||||||
\(344\) | 6.19210 | + | 4.49882i | 0.333856 | + | 0.242560i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.1671 | + | 13.1992i | −0.976671 | + | 0.709593i | ||||
\(347\) | 3.98201 | − | 2.89310i | 0.213766 | − | 0.155310i | −0.475750 | − | 0.879580i | \(-0.657823\pi\) |
0.689516 | + | 0.724271i | \(0.257823\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 36.8722 | 1.97372 | 0.986861 | − | 0.161572i | \(-0.0516565\pi\) | ||||
0.986861 | + | 0.161572i | \(0.0516565\pi\) | |||||||
\(350\) | −3.67601 | − | 0.902923i | −0.196491 | − | 0.0482633i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.05531 | + | 3.24790i | 0.0562481 | + | 0.173114i | ||||
\(353\) | 16.4117 | − | 11.9238i | 0.873508 | − | 0.634641i | −0.0580178 | − | 0.998316i | \(-0.518478\pi\) |
0.931526 | + | 0.363675i | \(0.118478\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.60192 | − | 14.2226i | 0.350393 | − | 0.754856i | ||||
\(356\) | −0.736628 | − | 0.535191i | −0.0390412 | − | 0.0283651i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 15.2206 | + | 11.0584i | 0.804431 | + | 0.584454i | ||||
\(359\) | −0.740055 | + | 2.27765i | −0.0390586 | + | 0.120210i | −0.968685 | − | 0.248294i | \(-0.920130\pi\) |
0.929626 | + | 0.368504i | \(0.120130\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.82938 | − | 17.9410i | −0.306810 | − | 0.944263i | ||||
\(362\) | −2.65446 | + | 8.16960i | −0.139515 | + | 0.429384i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.24520 | + | 3.83234i | 0.0652663 | + | 0.200869i | ||||
\(365\) | 20.1485 | + | 18.7231i | 1.05462 | + | 0.980014i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −27.6443 | − | 20.0848i | −1.44302 | − | 1.04842i | −0.987401 | − | 0.158241i | \(-0.949418\pi\) |
−0.455620 | − | 0.890175i | \(-0.650582\pi\) | |||||||
\(368\) | −4.63999 | −0.241876 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −15.7917 | + | 8.78950i | −0.820970 | + | 0.456945i | ||||
\(371\) | 3.34271 | − | 2.42862i | 0.173545 | − | 0.126088i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.50140 | + | 16.9316i | 0.284851 | + | 0.876683i | 0.986443 | + | 0.164103i | \(0.0524731\pi\) |
−0.701592 | + | 0.712579i | \(0.747527\pi\) | |||||||
\(374\) | 16.3600 | 0.845956 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.3095 | 0.583245 | ||||||||
\(377\) | 0.258275 | + | 0.794890i | 0.0133019 | + | 0.0409389i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 29.1852 | − | 21.2043i | 1.49914 | − | 1.08919i | 0.528422 | − | 0.848982i | \(-0.322784\pi\) |
0.970721 | − | 0.240210i | \(-0.0772162\pi\) | |||||||
\(380\) | −0.719780 | + | 0.400623i | −0.0369239 | + | 0.0205515i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −22.1802 | −1.13484 | ||||||||
\(383\) | 31.1901 | + | 22.6609i | 1.59374 | + | 1.15792i | 0.898348 | + | 0.439285i | \(0.144768\pi\) |
0.695389 | + | 0.718633i | \(0.255232\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.23489 | + | 3.93531i | 0.215830 | + | 0.200562i | ||||
\(386\) | −4.59306 | − | 14.1360i | −0.233781 | − | 0.719503i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.07158 | + | 3.29798i | −0.0544011 | + | 0.167430i | ||||
\(389\) | 10.4673 | + | 32.2151i | 0.530715 | + | 1.63337i | 0.752730 | + | 0.658329i | \(0.228737\pi\) |
−0.222015 | + | 0.975043i | \(0.571263\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.86888 | + | 21.1402i | −0.347374 | + | 1.06911i | ||||
\(392\) | −5.19945 | − | 3.77762i | −0.262612 | − | 0.190799i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.07042 | + | 1.50425i | 0.104306 | + | 0.0757828i | ||||
\(395\) | 14.2747 | − | 30.7522i | 0.718239 | − | 1.54731i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.1368 | − | 12.4506i | 0.860072 | − | 0.624879i | −0.0678323 | − | 0.997697i | \(-0.521608\pi\) |
0.927905 | + | 0.372818i | \(0.121608\pi\) | |||||||
\(398\) | −0.579036 | − | 1.78209i | −0.0290245 | − | 0.0893281i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.22728 | − | 3.81899i | −0.161364 | − | 0.190949i | ||||
\(401\) | −14.3575 | −0.716979 | −0.358490 | − | 0.933534i | \(-0.616708\pi\) | ||||
−0.358490 | + | 0.933534i | \(0.616708\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.7168 | + | 14.3251i | −0.982164 | + | 0.713584i | ||||
\(404\) | −11.4926 | + | 8.34985i | −0.571777 | + | 0.415421i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.0961735 | + | 0.0698741i | 0.00477301 | + | 0.00346780i | ||||
\(407\) | 27.6020 | 1.36818 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.681893 | − | 2.09865i | 0.0337174 | − | 0.103772i | −0.932781 | − | 0.360443i | \(-0.882626\pi\) |
0.966499 | + | 0.256671i | \(0.0826257\pi\) | |||||||
\(410\) | −4.29214 | + | 2.38897i | −0.211974 | + | 0.117983i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.60456 | + | 4.93833i | −0.0790511 | + | 0.243294i | ||||
\(413\) | −2.11640 | + | 6.51361i | −0.104141 | + | 0.320514i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.3813 | − | 1.86136i | −0.755036 | − | 0.0913704i | ||||
\(416\) | −1.64480 | + | 5.06217i | −0.0806429 | + | 0.248193i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.25809 | 0.0615354 | ||||||||
\(419\) | 13.3964 | + | 9.73303i | 0.654455 | + | 0.475490i | 0.864786 | − | 0.502141i | \(-0.167454\pi\) |
−0.210331 | + | 0.977630i | \(0.567454\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.44049 | + | 2.49966i | −0.167679 | + | 0.121826i | −0.668460 | − | 0.743748i | \(-0.733046\pi\) |
0.500781 | + | 0.865574i | \(0.333046\pi\) | |||||||
\(422\) | 14.1599 | − | 10.2878i | 0.689293 | − | 0.500801i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.45775 | 0.265052 | ||||||||
\(425\) | −22.1772 | + | 9.05030i | −1.07575 | + | 0.439004i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.06718 | − | 9.43980i | −0.148431 | − | 0.456824i | ||||
\(428\) | 0.513977 | − | 0.373426i | 0.0248440 | − | 0.0180503i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.5371 | + | 11.6502i | 0.604594 | + | 0.561825i | ||||
\(431\) | 25.9543 | + | 18.8569i | 1.25018 | + | 0.908306i | 0.998232 | − | 0.0594352i | \(-0.0189300\pi\) |
0.251944 | + | 0.967742i | \(0.418930\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.94229 | − | 7.22350i | −0.477796 | − | 0.347139i | 0.322676 | − | 0.946510i | \(-0.395418\pi\) |
−0.800472 | + | 0.599371i | \(0.795418\pi\) | |||||||
\(434\) | −1.07117 | + | 3.29672i | −0.0514178 | + | 0.158248i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.09912 | + | 6.46041i | 0.100529 | + | 0.309398i | ||||
\(437\) | −0.528221 | + | 1.62570i | −0.0252682 | + | 0.0777676i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.95483 | − | 15.2494i | −0.236481 | − | 0.727814i | −0.996921 | − | 0.0784063i | \(-0.975017\pi\) |
0.760440 | − | 0.649408i | \(-0.224983\pi\) | |||||||
\(440\) | 1.47014 | + | 7.49343i | 0.0700863 | + | 0.357235i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 20.6288 | + | 14.9877i | 0.981214 | + | 0.712893i | ||||
\(443\) | −21.4037 | −1.01692 | −0.508461 | − | 0.861085i | \(-0.669785\pi\) | ||||
−0.508461 | + | 0.861085i | \(0.669785\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.49145 | − | 1.38594i | −0.0707014 | − | 0.0656999i | ||||
\(446\) | −18.2249 | + | 13.2411i | −0.862972 | + | 0.626986i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.233943 | + | 0.720002i | 0.0110528 | + | 0.0340169i | ||||
\(449\) | 23.4862 | 1.10838 | 0.554190 | − | 0.832390i | \(-0.313028\pi\) | ||||
0.554190 | + | 0.832390i | \(0.313028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.50218 | 0.353264 | ||||||||
\(452\) | −0.528020 | − | 1.62508i | −0.0248360 | − | 0.0764373i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −8.05837 | + | 5.85475i | −0.378198 | + | 0.274777i | ||||
\(455\) | 1.73468 | + | 8.84181i | 0.0813232 | + | 0.414511i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.67236 | 0.452454 | 0.226227 | − | 0.974075i | \(-0.427361\pi\) | ||||
0.226227 | + | 0.974075i | \(0.427361\pi\) | |||||||
\(458\) | 8.49555 | + | 6.17238i | 0.396971 | + | 0.288416i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.3002 | − | 1.24647i | −0.480249 | − | 0.0581170i | ||||
\(461\) | −9.01431 | − | 27.7432i | −0.419838 | − | 1.29213i | −0.907851 | − | 0.419293i | \(-0.862278\pi\) |
0.488013 | − | 0.872836i | \(-0.337722\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.74107 | + | 29.9799i | −0.452706 | + | 1.39329i | 0.421102 | + | 0.907013i | \(0.361644\pi\) |
−0.873808 | + | 0.486272i | \(0.838356\pi\) | |||||||
\(464\) | 0.0485236 | + | 0.149340i | 0.00225265 | + | 0.00693295i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.59513 | + | 20.2977i | −0.305513 | + | 0.940274i | ||||
\(467\) | −6.70921 | − | 4.87453i | −0.310465 | − | 0.225566i | 0.421631 | − | 0.906768i | \(-0.361458\pi\) |
−0.732096 | + | 0.681201i | \(0.761458\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.72940 | + | 1.25648i | 0.0798563 | + | 0.0580190i | ||||
\(470\) | 25.1057 | + | 3.03816i | 1.15804 | + | 0.140140i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.31889 | + | 5.31749i | −0.336879 | + | 0.244757i | ||||
\(473\) | −8.07718 | − | 24.8590i | −0.371389 | − | 1.14302i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.70544 | + | 0.695973i | −0.0782510 | + | 0.0319334i | ||||
\(476\) | 3.62672 | 0.166230 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −20.3061 | + | 14.7532i | −0.928779 | + | 0.674798i | ||||
\(479\) | −9.94974 | + | 7.22891i | −0.454615 | + | 0.330297i | −0.791415 | − | 0.611279i | \(-0.790655\pi\) |
0.336800 | + | 0.941576i | \(0.390655\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 34.8043 | + | 25.2868i | 1.58694 | + | 1.15298i | ||||
\(482\) | 9.38375 | 0.427418 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.204741 | − | 0.630129i | 0.00930643 | − | 0.0286422i | ||||
\(485\) | −3.26473 | + | 7.03323i | −0.148244 | + | 0.319362i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.83776 | − | 21.0445i | 0.309849 | − | 0.953616i | −0.667975 | − | 0.744184i | \(-0.732839\pi\) |
0.977823 | − | 0.209432i | \(-0.0671615\pi\) | |||||||
\(488\) | 4.05146 | − | 12.4691i | 0.183401 | − | 0.564450i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −10.5273 | − | 9.78259i | −0.475575 | − | 0.441933i | ||||
\(491\) | 2.03450 | − | 6.26156i | 0.0918158 | − | 0.282580i | −0.894595 | − | 0.446878i | \(-0.852536\pi\) |
0.986411 | + | 0.164298i | \(0.0525358\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.752241 | 0.0338792 | ||||||||
\(494\) | 1.58637 | + | 1.15256i | 0.0713741 | + | 0.0518563i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.70430 | + | 2.69133i | −0.166328 | + | 0.120844i | ||||
\(497\) | −4.29487 | + | 3.12040i | −0.192651 | + | 0.139969i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.16838 | 0.141836 | 0.0709182 | − | 0.997482i | \(-0.477407\pi\) | ||||
0.0709182 | + | 0.997482i | \(0.477407\pi\) | |||||||
\(500\) | −6.13823 | − | 9.34463i | −0.274510 | − | 0.417905i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −8.15270 | − | 25.0914i | −0.363873 | − | 1.11989i | ||||
\(503\) | 16.2211 | − | 11.7853i | 0.723264 | − | 0.525482i | −0.164161 | − | 0.986433i | \(-0.552492\pi\) |
0.887425 | + | 0.460951i | \(0.152492\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −27.7551 | + | 15.4483i | −1.23509 | + | 0.687439i | ||||
\(506\) | 12.8195 | + | 9.31392i | 0.569897 | + | 0.414054i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12.6176 | − | 9.16724i | −0.559817 | − | 0.406731i | ||||
\(509\) | 7.64644 | − | 23.5333i | 0.338922 | − | 1.04310i | −0.625835 | − | 0.779955i | \(-0.715242\pi\) |
0.964757 | − | 0.263141i | \(-0.0847583\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.87762 | − | 8.85641i | −0.127299 | − | 0.391785i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.14580 | + | 3.52641i | 0.0505391 | + | 0.155543i | ||||
\(515\) | −4.88854 | + | 10.5314i | −0.215415 | + | 0.464070i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −31.2464 | − | 22.7018i | −1.37421 | − | 0.998424i | ||||
\(518\) | 6.11888 | 0.268848 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.01113 | + | 10.7955i | −0.219752 | + | 0.473415i | ||||
\(521\) | −33.3030 | + | 24.1960i | −1.45903 | + | 1.06005i | −0.475414 | + | 0.879762i | \(0.657702\pi\) |
−0.983615 | + | 0.180284i | \(0.942298\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.82203 | − | 8.68532i | −0.123399 | − | 0.379783i | 0.870207 | − | 0.492686i | \(-0.163985\pi\) |
−0.993606 | + | 0.112903i | \(0.963985\pi\) | |||||||
\(524\) | −16.4385 | −0.718121 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.1121 | 0.658920 | ||||||||
\(527\) | 6.77825 | + | 20.8613i | 0.295265 | + | 0.908733i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.18966 | − | 0.864339i | 0.0517244 | − | 0.0375800i | ||||
\(530\) | 12.1155 | + | 1.46615i | 0.526264 | + | 0.0636856i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.278897 | 0.0120917 | ||||||||
\(533\) | 9.45972 | + | 6.87289i | 0.409746 | + | 0.297698i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.24128 | − | 0.690886i | 0.0536652 | − | 0.0298696i | ||||
\(536\) | 0.872555 | + | 2.68545i | 0.0376886 | + | 0.115994i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.67895 | + | 17.4780i | −0.244837 | + | 0.753530i | ||||
\(539\) | 6.78233 | + | 20.8739i | 0.292135 | + | 0.899100i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.14537 | + | 6.60278i | −0.0922368 | + | 0.283876i | −0.986524 | − | 0.163618i | \(-0.947683\pi\) |
0.894287 | + | 0.447494i | \(0.147683\pi\) | |||||||
\(542\) | −19.1346 | − | 13.9021i | −0.821903 | − | 0.597147i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.87565 | + | 2.81582i | 0.166167 | + | 0.120727i | ||||
\(545\) | 2.92426 | + | 14.9052i | 0.125262 | + | 0.638468i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 33.2583 | − | 24.1635i | 1.42202 | − | 1.03316i | 0.430587 | − | 0.902549i | \(-0.358307\pi\) |
0.991434 | − | 0.130610i | \(-0.0416934\pi\) | |||||||
\(548\) | 2.38994 | + | 7.35549i | 0.102093 | + | 0.314211i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.25052 | + | 17.0294i | 0.0533223 | + | 0.726136i | ||||
\(551\) | 0.0578478 | 0.00246440 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.28640 | + | 6.74697i | −0.394898 | + | 0.286910i | ||||
\(554\) | −4.63792 | + | 3.36965i | −0.197046 | + | 0.143163i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.02542 | − | 6.55735i | −0.382763 | − | 0.278094i | ||||
\(557\) | −11.3965 | −0.482884 | −0.241442 | − | 0.970415i | \(-0.577620\pi\) | ||||
−0.241442 | + | 0.970415i | \(0.577620\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.5891 | − | 38.7451i | 0.532460 | − | 1.63874i | ||||
\(560\) | 0.325904 | + | 1.66116i | 0.0137720 | + | 0.0701967i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 9.96751 | − | 30.6768i | 0.420454 | − | 1.29402i | ||||
\(563\) | −4.01128 | + | 12.3455i | −0.169055 | + | 0.520299i | −0.999312 | − | 0.0370821i | \(-0.988194\pi\) |
0.830257 | + | 0.557381i | \(0.188194\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.735581 | − | 3.74931i | −0.0309461 | − | 0.157735i | ||||
\(566\) | 5.59204 | − | 17.2105i | 0.235051 | − | 0.723412i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −7.01237 | −0.294233 | ||||||||
\(569\) | 9.93141 | + | 7.21559i | 0.416347 | + | 0.302493i | 0.776166 | − | 0.630528i | \(-0.217162\pi\) |
−0.359820 | + | 0.933022i | \(0.617162\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.54421 | + | 2.57502i | −0.148321 | + | 0.107761i | −0.659471 | − | 0.751730i | \(-0.729220\pi\) |
0.511150 | + | 0.859491i | \(0.329220\pi\) | |||||||
\(572\) | 14.7057 | − | 10.6843i | 0.614875 | − | 0.446733i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.66310 | 0.0694164 | ||||||||
\(575\) | −22.5302 | − | 5.53402i | −0.939576 | − | 0.230784i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.60242 | + | 17.2425i | 0.233232 | + | 0.717814i | 0.997351 | + | 0.0727386i | \(0.0231739\pi\) |
−0.764119 | + | 0.645075i | \(0.776826\pi\) | |||||||
\(578\) | 4.81326 | − | 3.49704i | 0.200205 | − | 0.145458i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.0675979 | + | 0.344552i | 0.00280685 | + | 0.0143067i | ||||
\(581\) | 4.24374 | + | 3.08326i | 0.176060 | + | 0.127915i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.0788 | − | 10.9554i | −0.624502 | − | 0.453727i | ||||
\(584\) | 3.80108 | − | 11.6985i | 0.157290 | − | 0.484088i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.77650 | + | 11.6229i | 0.156006 | + | 0.480136i | ||||
\(587\) | 5.23334 | − | 16.1066i | 0.216003 | − | 0.664789i | −0.783078 | − | 0.621924i | \(-0.786351\pi\) |
0.999081 | − | 0.0428655i | \(-0.0136487\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.521251 | + | 1.60425i | 0.0214778 | + | 0.0661018i | ||||
\(590\) | −17.6755 | + | 9.83802i | −0.727688 | + | 0.405025i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.53886 | + | 4.75076i | 0.268745 | + | 0.195255i | ||||
\(593\) | 3.07662 | 0.126342 | 0.0631709 | − | 0.998003i | \(-0.479879\pi\) | ||||
0.0631709 | + | 0.998003i | \(0.479879\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.05086 | + | 0.974270i | 0.330053 | + | 0.0399412i | ||||
\(596\) | −1.80983 | + | 1.31492i | −0.0741334 | + | 0.0538611i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.63185 | + | 23.4884i | 0.312089 | + | 0.960512i | ||||
\(599\) | −17.6867 | −0.722659 | −0.361329 | − | 0.932438i | \(-0.617677\pi\) | ||||
−0.361329 | + | 0.932438i | \(0.617677\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.35491 | 0.177640 | 0.0888202 | − | 0.996048i | \(-0.471690\pi\) | ||||
0.0888202 | + | 0.996048i | \(0.471690\pi\) | |||||||
\(602\) | −1.79056 | − | 5.51079i | −0.0729780 | − | 0.224603i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 15.2578 | − | 11.0855i | 0.620832 | − | 0.451061i | ||||
\(605\) | 0.623776 | − | 1.34381i | 0.0253601 | − | 0.0546335i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.39480 | 0.0566131 | 0.0283066 | − | 0.999599i | \(-0.490989\pi\) | ||||
0.0283066 | + | 0.999599i | \(0.490989\pi\) | |||||||
\(608\) | 0.298039 | + | 0.216538i | 0.0120871 | + | 0.00878179i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 12.3434 | − | 26.5915i | 0.499769 | − | 1.07666i | ||||
\(611\) | −18.6019 | − | 57.2508i | −0.752553 | − | 2.31612i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.252641 | + | 0.777550i | −0.0102041 | + | 0.0314049i | −0.956029 | − | 0.293272i | \(-0.905256\pi\) |
0.945825 | + | 0.324677i | \(0.105256\pi\) | |||||||
\(614\) | −2.06514 | − | 6.35585i | −0.0833423 | − | 0.256501i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.798926 | − | 2.45884i | 0.0321896 | − | 0.0990695i | ||||
\(617\) | −28.1657 | − | 20.4636i | −1.13391 | − | 0.823833i | −0.147650 | − | 0.989040i | \(-0.547171\pi\) |
−0.986259 | + | 0.165207i | \(0.947171\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.81990 | + | 1.32223i | 0.0731480 | + | 0.0531451i | 0.623758 | − | 0.781617i | \(-0.285605\pi\) |
−0.550610 | + | 0.834762i | \(0.685605\pi\) | |||||||
\(620\) | −8.94606 | + | 4.97930i | −0.359283 | + | 0.199974i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −17.7201 | + | 12.8744i | −0.710512 | + | 0.516217i | ||||
\(623\) | 0.213010 | + | 0.655577i | 0.00853407 | + | 0.0262652i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.1158 | − | 22.3928i | −0.444631 | − | 0.895714i | ||||
\(626\) | −6.03182 | −0.241080 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.49890 | − | 1.81556i | 0.0997170 | − | 0.0724486i | ||||
\(629\) | 31.3248 | − | 22.7588i | 1.24900 | − | 0.907454i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.8717 | − | 10.0784i | −0.552225 | − | 0.401215i | 0.276380 | − | 0.961048i | \(-0.410865\pi\) |
−0.828605 | + | 0.559833i | \(0.810865\pi\) | |||||||
\(632\) | −15.1622 | −0.603120 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.74111 | + | 5.35858i | −0.0691483 | + | 0.212816i | ||||
\(635\) | −25.5469 | − | 23.7397i | −1.01380 | − | 0.942080i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.5709 | + | 32.5339i | −0.418834 | + | 1.28904i | ||||
\(638\) | 0.165710 | − | 0.510004i | 0.00656054 | − | 0.0201913i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.941467 | + | 2.02821i | −0.0372148 | + | 0.0801721i | ||||
\(641\) | −1.05804 | + | 3.25632i | −0.0417902 | + | 0.128617i | −0.969775 | − | 0.244001i | \(-0.921540\pi\) |
0.927985 | + | 0.372618i | \(0.121540\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 35.7348 | 1.40924 | 0.704622 | − | 0.709583i | \(-0.251117\pi\) | ||||
0.704622 | + | 0.709583i | \(0.251117\pi\) | |||||||
\(644\) | 2.84185 | + | 2.06473i | 0.111985 | + | 0.0813617i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.42778 | − | 1.03734i | 0.0561752 | − | 0.0408136i | ||||
\(647\) | −7.28879 | + | 5.29562i | −0.286552 | + | 0.208192i | −0.721770 | − | 0.692133i | \(-0.756671\pi\) |
0.435218 | + | 0.900325i | \(0.356671\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 30.8948 | 1.21273 | ||||||||
\(650\) | −14.0241 | + | 22.6185i | −0.550072 | + | 0.887170i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.06026 | − | 12.4962i | −0.159012 | − | 0.489388i | ||||
\(653\) | 32.6076 | − | 23.6908i | 1.27603 | − | 0.927092i | 0.276607 | − | 0.960983i | \(-0.410790\pi\) |
0.999426 | + | 0.0338908i | \(0.0107898\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −36.4915 | − | 4.41600i | −1.42584 | − | 0.172547i | ||||
\(656\) | 1.77725 | + | 1.29125i | 0.0693899 | + | 0.0504147i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −6.92675 | − | 5.03258i | −0.270033 | − | 0.196190i | ||||
\(659\) | −6.89337 | + | 21.2156i | −0.268527 | + | 0.826443i | 0.722332 | + | 0.691546i | \(0.243070\pi\) |
−0.990860 | + | 0.134896i | \(0.956930\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.53432 | + | 23.1882i | 0.293051 | + | 0.901918i | 0.983869 | + | 0.178889i | \(0.0572505\pi\) |
−0.690818 | + | 0.723028i | \(0.742750\pi\) | |||||||
\(662\) | 8.35673 | − | 25.7194i | 0.324794 | − | 0.999612i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.14115 | + | 6.58977i | 0.0830926 | + | 0.255733i | ||||
\(665\) | 0.619115 | + | 0.0749219i | 0.0240083 | + | 0.00290535i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.589447 | + | 0.428259i | 0.0228235 | + | 0.0165822i | ||||
\(668\) | −16.2226 | −0.627672 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.21555 | + | 6.19575i | 0.0469608 | + | 0.239363i | ||||
\(671\) | −36.2230 | + | 26.3175i | −1.39837 | + | 1.01598i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.3741 | + | 41.1612i | 0.515533 | + | 1.58665i | 0.782311 | + | 0.622889i | \(0.214041\pi\) |
−0.266778 | + | 0.963758i | \(0.585959\pi\) | |||||||
\(674\) | −18.6493 | −0.718346 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.3309 | 0.589651 | ||||||||
\(677\) | −13.0504 | − | 40.1649i | −0.501566 | − | 1.54366i | −0.806468 | − | 0.591278i | \(-0.798623\pi\) |
0.304901 | − | 0.952384i | \(-0.401377\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.12386 | − | 1.54308i | 0.0815064 | − | 0.0592179i | ||||
\(680\) | 7.84701 | + | 7.29191i | 0.300919 | + | 0.279632i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 15.6367 | 0.598761 | ||||||||
\(683\) | 11.8307 | + | 8.59550i | 0.452689 | + | 0.328898i | 0.790656 | − | 0.612260i | \(-0.209739\pi\) |
−0.337968 | + | 0.941158i | \(0.609739\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.32942 | + | 16.9703i | 0.127210 | + | 0.648401i | ||||
\(686\) | 3.14112 | + | 9.66737i | 0.119928 | + | 0.369102i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.36517 | − | 7.27925i | 0.0901713 | − | 0.277519i | ||||
\(689\) | −8.97690 | − | 27.6281i | −0.341993 | − | 1.05254i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.08250 | − | 3.33158i | 0.0411801 | − | 0.126739i | −0.928353 | − | 0.371700i | \(-0.878775\pi\) |
0.969533 | + | 0.244961i | \(0.0787750\pi\) | |||||||
\(692\) | 18.1671 | + | 13.1992i | 0.690611 | + | 0.501758i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.98201 | − | 2.89310i | −0.151155 | − | 0.109821i | ||||
\(695\) | −18.2737 | − | 16.9810i | −0.693162 | − | 0.644128i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.51402 | − | 6.18580i | 0.322492 | − | 0.234304i | ||||
\(698\) | −11.3941 | − | 35.0675i | −0.431274 | − | 1.32732i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.277218 | + | 3.77511i | 0.0104778 | + | 0.142686i | ||||
\(701\) | 9.02395 | 0.340830 | 0.170415 | − | 0.985372i | \(-0.445489\pi\) | ||||
0.170415 | + | 0.985372i | \(0.445489\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.40890 | − | 1.75017i | 0.0908533 | − | 0.0660088i | ||||
\(704\) | 2.76283 | − | 2.00732i | 0.104128 | − | 0.0756535i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.4117 | − | 11.9238i | −0.617664 | − | 0.448759i | ||||
\(707\) | 10.7544 | 0.404462 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.02371 | + | 3.15066i | −0.0384462 | + | 0.118325i | −0.968438 | − | 0.249256i | \(-0.919814\pi\) |
0.929991 | + | 0.367581i | \(0.119814\pi\) | |||||||
\(710\) | −15.5666 | − | 1.88378i | −0.584203 | − | 0.0706970i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.281367 | + | 0.865958i | −0.0105447 | + | 0.0324531i | ||||
\(713\) | −6.56520 | + | 20.2056i | −0.245869 | + | 0.756706i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 35.5149 | − | 19.7673i | 1.32818 | − | 0.739255i | ||||
\(716\) | 5.81373 | − | 17.8928i | 0.217269 | − | 0.668687i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.39487 | 0.0893757 | ||||||||
\(719\) | −6.42008 | − | 4.66446i | −0.239429 | − | 0.173955i | 0.461600 | − | 0.887088i | \(-0.347276\pi\) |
−0.701029 | + | 0.713133i | \(0.747276\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.18023 | − | 2.31058i | 0.118438 | − | 0.0860503i | ||||
\(722\) | −15.2615 | + | 11.0881i | −0.567975 | + | 0.412658i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.59002 | 0.319246 | ||||||||
\(725\) | 0.0574995 | + | 0.783020i | 0.00213548 | + | 0.0290806i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.98054 | − | 30.7170i | −0.370158 | − | 1.13923i | −0.946688 | − | 0.322153i | \(-0.895594\pi\) |
0.576530 | − | 0.817076i | \(-0.304406\pi\) | |||||||
\(728\) | 3.25998 | − | 2.36852i | 0.120823 | − | 0.0877830i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 11.5806 | − | 24.9481i | 0.428615 | − | 0.923370i | ||||
\(731\) | −29.6637 | − | 21.5519i | −1.09715 | − | 0.797126i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 15.3898 | + | 11.1813i | 0.568434 | + | 0.412991i | 0.834536 | − | 0.550954i | \(-0.185736\pi\) |
−0.266102 | + | 0.963945i | \(0.585736\pi\) | |||||||
\(734\) | −10.5592 | + | 32.4978i | −0.389746 | + | 1.19952i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.43384 | + | 4.41289i | 0.0528519 | + | 0.162661i | ||||
\(737\) | 2.97982 | − | 9.17094i | 0.109763 | − | 0.337816i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.78189 | + | 14.7172i | 0.175905 | + | 0.541379i | 0.999674 | − | 0.0255466i | \(-0.00813261\pi\) |
−0.823769 | + | 0.566926i | \(0.808133\pi\) | |||||||
\(740\) | 13.2392 | + | 12.3027i | 0.486683 | + | 0.452255i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.34271 | − | 2.42862i | −0.122715 | − | 0.0891575i | ||||
\(743\) | 6.45309 | 0.236741 | 0.118370 | − | 0.992970i | \(-0.462233\pi\) | ||||
0.118370 | + | 0.992970i | \(0.462233\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.37082 | + | 2.43276i | −0.160135 | + | 0.0891295i | ||||
\(746\) | 14.4028 | − | 10.4643i | 0.527325 | − | 0.383124i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.05552 | − | 15.5593i | −0.184848 | − | 0.568904i | ||||
\(749\) | −0.480965 | −0.0175741 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.3545 | −0.377842 | −0.188921 | − | 0.981992i | \(-0.560499\pi\) | ||||
−0.188921 | + | 0.981992i | \(0.560499\pi\) | |||||||
\(752\) | −3.49484 | − | 10.7560i | −0.127444 | − | 0.392231i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.676174 | − | 0.491269i | 0.0246248 | − | 0.0178910i | ||||
\(755\) | 36.8484 | − | 20.5095i | 1.34105 | − | 0.746417i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.883693 | 0.0321184 | 0.0160592 | − | 0.999871i | \(-0.494888\pi\) | ||||
0.0160592 | + | 0.999871i | \(0.494888\pi\) | |||||||
\(758\) | −29.1852 | − | 21.2043i | −1.06005 | − | 0.770175i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.603440 | + | 0.560752i | 0.0218891 | + | 0.0203406i | ||||
\(761\) | −1.21638 | − | 3.74363i | −0.0440937 | − | 0.135706i | 0.926586 | − | 0.376083i | \(-0.122729\pi\) |
−0.970680 | + | 0.240376i | \(0.922729\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.58915 | − | 4.89089i | 0.0575309 | − | 0.177062i | ||||
\(764\) | 6.85405 | + | 21.0946i | 0.247971 | + | 0.763175i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 11.9135 | − | 36.6661i | 0.430454 | − | 1.32480i | ||||
\(767\) | 38.9561 | + | 28.3033i | 1.40662 | + | 1.02197i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.49330 | + | 2.53803i | 0.125972 | + | 0.0915237i | 0.648987 | − | 0.760800i | \(-0.275193\pi\) |
−0.523015 | + | 0.852323i | \(0.675193\pi\) | |||||||
\(770\) | 2.43405 | − | 5.24369i | 0.0877170 | − | 0.188970i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −12.0248 | + | 8.73652i | −0.432782 | + | 0.314434i | ||||
\(773\) | −8.28955 | − | 25.5126i | −0.298154 | − | 0.917625i | −0.982144 | − | 0.188133i | \(-0.939756\pi\) |
0.683989 | − | 0.729492i | \(-0.260244\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −21.1967 | + | 8.65017i | −0.761410 | + | 0.310723i | ||||
\(776\) | 3.46770 | 0.124483 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 27.4038 | − | 19.9101i | 0.982475 | − | 0.713810i | ||||
\(779\) | 0.654733 | − | 0.475691i | 0.0234582 | − | 0.0170434i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 19.3740 | + | 14.0760i | 0.693257 | + | 0.503680i | ||||
\(782\) | 22.2282 | 0.794878 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.98601 | + | 6.11231i | −0.0709290 | + | 0.218297i | ||||
\(785\) | 6.03497 | − | 3.35901i | 0.215397 | − | 0.119888i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.33947 | + | 28.7439i | −0.332916 | + | 1.02461i | 0.634823 | + | 0.772658i | \(0.281073\pi\) |
−0.967739 | + | 0.251953i | \(0.918927\pi\) | |||||||
\(788\) | 0.790829 | − | 2.43392i | 0.0281721 | − | 0.0867048i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −33.6582 | − | 4.07313i | −1.19750 | − | 0.144915i | ||||
\(791\) | −0.399740 | + | 1.23027i | −0.0142131 | + | 0.0437435i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −69.7846 | −2.47812 | ||||||||
\(794\) | −17.1368 | − | 12.4506i | −0.608163 | − | 0.441856i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.51594 | + | 1.10139i | −0.0537310 | + | 0.0390378i | ||||
\(797\) | −40.0204 | + | 29.0765i | −1.41760 | + | 1.02994i | −0.425434 | + | 0.904990i | \(0.639878\pi\) |
−0.992163 | + | 0.124954i | \(0.960122\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −54.1791 | −1.91672 | ||||||||
\(800\) | −2.63479 | + | 4.24946i | −0.0931539 | + | 0.150241i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 4.43671 | + | 13.6548i | 0.156666 | + | 0.482167i | ||||
\(803\) | −33.9843 | + | 24.6911i | −1.19928 | + | 0.871329i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.75389 | + | 5.34686i | 0.202798 | + | 0.188452i | ||||
\(806\) | 19.7168 | + | 14.3251i | 0.694495 | + | 0.504580i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.4926 | + | 8.34985i | 0.404308 | + | 0.293747i | ||||
\(809\) | 10.3694 | − | 31.9136i | 0.364567 | − | 1.12202i | −0.585684 | − | 0.810539i | \(-0.699174\pi\) |
0.950252 | − | 0.311483i | \(-0.100826\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.06842 | − | 18.6767i | −0.213091 | − | 0.655827i | −0.999284 | − | 0.0378454i | \(-0.987951\pi\) |
0.786192 | − | 0.617982i | \(-0.212049\pi\) | |||||||
\(812\) | 0.0367350 | − | 0.113059i | 0.00128915 | − | 0.00396758i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.52950 | − | 26.2511i | −0.298959 | − | 0.920101i | ||||
\(815\) | −5.65632 | − | 28.8307i | −0.198132 | − | 1.00989i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.28115 | − | 1.65735i | −0.0798074 | − | 0.0579835i | ||||
\(818\) | −2.20665 | −0.0771538 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.59839 | + | 3.34384i | 0.125661 | + | 0.116772i | ||||
\(821\) | −43.1724 | + | 31.3666i | −1.50673 | + | 1.09470i | −0.539122 | + | 0.842228i | \(0.681244\pi\) |
−0.967604 | + | 0.252473i | \(0.918756\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.26586 | − | 16.2067i | −0.183556 | − | 0.564928i | 0.816364 | − | 0.577538i | \(-0.195986\pi\) |
−0.999921 | + | 0.0126091i | \(0.995986\pi\) | |||||||
\(824\) | 5.19247 | 0.180888 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.84881 | 0.238301 | ||||||||
\(827\) | 7.45044 | + | 22.9301i | 0.259077 | + | 0.797358i | 0.992999 | + | 0.118124i | \(0.0376879\pi\) |
−0.733922 | + | 0.679234i | \(0.762312\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.4314 | + | 8.30540i | −0.397029 | + | 0.288459i | −0.768330 | − | 0.640054i | \(-0.778912\pi\) |
0.371301 | + | 0.928513i | \(0.378912\pi\) | |||||||
\(830\) | 2.98282 | + | 15.2036i | 0.103535 | + | 0.527726i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.32268 | 0.184531 | ||||||||
\(833\) | 24.9083 | + | 18.0969i | 0.863021 | + | 0.627021i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −36.0121 | − | 4.35799i | −1.24625 | − | 0.150815i | ||||
\(836\) | −0.388772 | − | 1.19652i | −0.0134460 | − | 0.0413825i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.11696 | − | 15.7484i | 0.176762 | − | 0.544019i | ||||
\(839\) | 6.91404 | + | 21.2792i | 0.238699 | + | 0.734640i | 0.996609 | + | 0.0822812i | \(0.0262206\pi\) |
−0.757910 | + | 0.652359i | \(0.773779\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.95387 | + | 27.5572i | −0.308754 | + | 0.950248i | ||||
\(842\) | 3.44049 | + | 2.49966i | 0.118567 | + | 0.0861441i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −14.1599 | − | 10.2878i | −0.487404 | − | 0.354120i | ||||
\(845\) | 34.0327 | + | 4.11845i | 1.17076 | + | 0.141679i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.405796 | + | 0.294828i | −0.0139433 | + | 0.0101304i | ||||
\(848\) | −1.68654 | − | 5.19063i | −0.0579159 | − | 0.178247i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 15.4605 | + | 18.2951i | 0.530290 | + | 0.627517i | ||||
\(851\) | 37.5026 | 1.28557 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.1397 | − | 12.4527i | 0.586852 | − | 0.426373i | −0.254336 | − | 0.967116i | \(-0.581857\pi\) |
0.841188 | + | 0.540743i | \(0.181857\pi\) | |||||||
\(854\) | −8.02998 | + | 5.83412i | −0.274780 | + | 0.199639i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.513977 | − | 0.373426i | −0.0175674 | − | 0.0127635i | ||||
\(857\) | −40.7978 | −1.39363 | −0.696813 | − | 0.717253i | \(-0.745399\pi\) | ||||
−0.696813 | + | 0.717253i | \(0.745399\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.3408 | + | 53.3694i | −0.591659 | + | 1.82094i | −0.0209604 | + | 0.999780i | \(0.506672\pi\) |
−0.570699 | + | 0.821159i | \(0.693328\pi\) | |||||||
\(860\) | 7.20586 | − | 15.5236i | 0.245718 | − | 0.529352i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 9.91368 | − | 30.5112i | 0.337661 | − | 1.03921i | ||||
\(863\) | −4.26345 | + | 13.1215i | −0.145130 | + | 0.446663i | −0.997028 | − | 0.0770449i | \(-0.975452\pi\) |
0.851898 | + | 0.523708i | \(0.175452\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 36.7829 | + | 34.1809i | 1.25066 | + | 1.16219i | ||||
\(866\) | −3.79762 | + | 11.6879i | −0.129048 | + | 0.397170i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.46638 | 0.117656 | ||||||||
\(869\) | 41.8906 | + | 30.4353i | 1.42104 | + | 1.03245i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.1590 | − | 8.83404i | 0.411993 | − | 0.299330i | ||||
\(872\) | 5.49555 | − | 3.99275i | 0.186103 | − | 0.135212i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.70936 | 0.0578199 | ||||||||
\(875\) | −0.398745 | + | 8.45473i | −0.0134801 | + | 0.285822i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.94954 | + | 15.2331i | 0.167134 | + | 0.514386i | 0.999187 | − | 0.0403099i | \(-0.0128345\pi\) |
−0.832053 | + | 0.554696i | \(0.812835\pi\) | |||||||
\(878\) | −12.9719 | + | 9.42465i | −0.437781 | + | 0.318066i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 6.67237 | − | 3.71379i | 0.224926 | − | 0.125192i | ||||
\(881\) | 3.32564 | + | 2.41622i | 0.112044 | + | 0.0814044i | 0.642396 | − | 0.766373i | \(-0.277940\pi\) |
−0.530353 | + | 0.847777i | \(0.677940\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.5667 | − | 14.2160i | −0.658471 | − | 0.478407i | 0.207675 | − | 0.978198i | \(-0.433410\pi\) |
−0.866146 | + | 0.499790i | \(0.833410\pi\) | |||||||
\(884\) | 7.87951 | − | 24.2506i | 0.265017 | − | 0.815638i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.61411 | + | 20.3561i | 0.222206 | + | 0.683878i | ||||
\(887\) | −5.44908 | + | 16.7705i | −0.182962 | + | 0.563100i | −0.999907 | − | 0.0136158i | \(-0.995666\pi\) |
0.816945 | + | 0.576715i | \(0.195666\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.64863 | + | 11.2293i | 0.122371 | + | 0.376619i | ||||
\(890\) | −0.857226 | + | 1.84673i | −0.0287343 | + | 0.0619025i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 18.2249 | + | 13.2411i | 0.610214 | + | 0.443346i | ||||
\(893\) | −4.16640 | −0.139423 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 17.7124 | − | 38.1580i | 0.592061 | − | 1.27548i | ||||
\(896\) | 0.612470 | − | 0.444986i | 0.0204612 | − | 0.0148659i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −7.25763 | − | 22.3367i | −0.242190 | − | 0.745385i | ||||
\(899\) | 0.718984 | 0.0239794 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −26.1457 | −0.871040 | ||||||||
\(902\) | −2.31830 | − | 7.13500i | −0.0771910 | − | 0.237569i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.38237 | + | 1.00435i | −0.0459771 | + | 0.0334043i | ||||
\(905\) | 19.0688 | + | 2.30760i | 0.633867 | + | 0.0767071i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −11.6990 | −0.388459 | −0.194229 | − | 0.980956i | \(-0.562221\pi\) | ||||
−0.194229 | + | 0.980956i | \(0.562221\pi\) | |||||||
\(908\) | 8.05837 | + | 5.85475i | 0.267426 | + | 0.194297i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 7.87302 | − | 4.38205i | 0.260988 | − | 0.145264i | ||||
\(911\) | 1.30687 | + | 4.02212i | 0.0432984 | + | 0.133259i | 0.970369 | − | 0.241628i | \(-0.0776815\pi\) |
−0.927070 | + | 0.374887i | \(0.877681\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.31212 | − | 22.5044i | 0.241996 | − | 0.744786i | ||||
\(914\) | −2.98892 | − | 9.19896i | −0.0988648 | − | 0.304275i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.24501 | − | 9.98712i | 0.107218 | − | 0.329984i | ||||
\(917\) | 10.0681 | + | 7.31492i | 0.332479 | + | 0.241560i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 39.6608 | + | 28.8153i | 1.30829 | + | 0.950528i | 1.00000 | 0.000764639i | \(-0.000243392\pi\) | |
0.308290 | + | 0.951293i | \(0.400243\pi\) | |||||||
\(920\) | 1.99747 | + | 10.1812i | 0.0658545 | + | 0.335665i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −23.5998 | + | 17.1462i | −0.777217 | + | 0.564681i | ||||
\(923\) | 11.5339 | + | 35.4978i | 0.379644 | + | 1.16842i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 26.0844 | + | 30.8669i | 0.857650 | + | 1.01490i | ||||
\(926\) | 31.5228 | 1.03590 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.127036 | − | 0.0922973i | 0.00417017 | − | 0.00302981i | ||||
\(929\) | −8.96621 | + | 6.51433i | −0.294172 | + | 0.213728i | −0.725075 | − | 0.688670i | \(-0.758195\pi\) |
0.430903 | + | 0.902398i | \(0.358195\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.91546 | + | 1.39166i | 0.0627767 | + | 0.0456099i | ||||
\(932\) | 21.3423 | 0.699090 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.56269 | + | 7.88715i | −0.0838538 | + | 0.258075i | ||||
\(935\) | −7.04282 | − | 35.8978i | −0.230325 | − | 1.17398i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −18.1912 | + | 55.9868i | −0.594281 | + | 1.82901i | −0.0360074 | + | 0.999352i | \(0.511464\pi\) |
−0.558274 | + | 0.829657i | \(0.688536\pi\) | |||||||
\(938\) | 0.660572 | − | 2.03303i | 0.0215684 | − | 0.0663808i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.86864 | − | 24.8158i | −0.158797 | − | 0.809403i | ||||
\(941\) | 6.92122 | − | 21.3013i | 0.225625 | − | 0.694404i | −0.772602 | − | 0.634891i | \(-0.781045\pi\) |
0.998228 | − | 0.0595131i | \(-0.0189548\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.1931 | 0.331934 | ||||||||
\(944\) | 7.31889 | + | 5.31749i | 0.238210 | + | 0.173070i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −21.1463 | + | 15.3637i | −0.687526 | + | 0.499517i | ||||
\(947\) | 17.1876 | − | 12.4875i | 0.558522 | − | 0.405790i | −0.272396 | − | 0.962185i | \(-0.587816\pi\) |
0.830918 | + | 0.556395i | \(0.187816\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −65.4718 | −2.12531 | ||||||||
\(950\) | 1.18892 | + | 1.40690i | 0.0385737 | + | 0.0456460i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.12072 | − | 3.44922i | −0.0363227 | − | 0.111790i | ||||
\(953\) | 0.328756 | − | 0.238856i | 0.0106495 | − | 0.00773729i | −0.582448 | − | 0.812868i | \(-0.697905\pi\) |
0.593097 | + | 0.805131i | \(0.297905\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 9.54833 | + | 48.6685i | 0.308977 | + | 1.57488i | ||||
\(956\) | 20.3061 | + | 14.7532i | 0.656746 | + | 0.477154i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 9.94974 | + | 7.22891i | 0.321461 | + | 0.233555i | ||||
\(959\) | 1.80932 | − | 5.56851i | 0.0584259 | − | 0.179817i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.10096 | − | 9.54376i | −0.100031 | − | 0.307863i | ||||
\(962\) | 13.2940 | − | 40.9149i | 0.428617 | − | 1.31915i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −2.89974 | − | 8.92448i | −0.0933943 | − | 0.287438i | ||||
\(965\) | −29.0405 | + | 16.1637i | −0.934845 | + | 0.520327i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −33.4953 | − | 24.3358i | −1.07714 | − | 0.782586i | −0.0999553 | − | 0.994992i | \(-0.531870\pi\) |
−0.977181 | + | 0.212406i | \(0.931870\pi\) | |||||||
\(968\) | −0.662557 | −0.0212954 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.69785 | + | 0.931552i | 0.247163 | + | 0.0299103i | ||||
\(971\) | 30.5279 | − | 22.1798i | 0.979687 | − | 0.711785i | 0.0220486 | − | 0.999757i | \(-0.492981\pi\) |
0.957639 | + | 0.287972i | \(0.0929811\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.60987 | + | 8.03237i | 0.0836687 | + | 0.257506i | ||||
\(974\) | −22.1275 | −0.709010 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −13.1108 | −0.419667 | ||||||||
\(977\) | 15.7373 | + | 48.4343i | 0.503479 | + | 1.54955i | 0.803312 | + | 0.595558i | \(0.203069\pi\) |
−0.299833 | + | 0.953992i | \(0.596931\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.51562 | − | 1.82770i | 0.0803995 | − | 0.0584137i | ||||
\(980\) | −6.05068 | + | 13.0350i | −0.193282 | + | 0.416389i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −6.58379 | −0.210097 | ||||||||
\(983\) | 30.1830 | + | 21.9293i | 0.962689 | + | 0.699435i | 0.953774 | − | 0.300526i | \(-0.0971621\pi\) |
0.00891538 | + | 0.999960i | \(0.497162\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.40938 | − | 5.19055i | 0.0767692 | − | 0.165385i | ||||
\(986\) | −0.232455 | − | 0.715424i | −0.00740289 | − | 0.0227837i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.605939 | − | 1.86489i | 0.0192775 | − | 0.0593300i | ||||
\(989\) | −10.9744 | − | 33.7756i | −0.348965 | − | 1.07400i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.68847 | − | 29.8180i | 0.307764 | − | 0.947201i | −0.670867 | − | 0.741578i | \(-0.734078\pi\) |
0.978631 | − | 0.205623i | \(-0.0659222\pi\) | |||||||
\(992\) | 3.70430 | + | 2.69133i | 0.117612 | + | 0.0854498i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.29487 | + | 3.12040i | 0.136225 | + | 0.0989732i | ||||
\(995\) | −3.66106 | + | 2.03771i | −0.116063 | + | 0.0645999i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.02084 | − | 2.92131i | 0.127341 | − | 0.0925188i | −0.522292 | − | 0.852767i | \(-0.674923\pi\) |
0.649633 | + | 0.760248i | \(0.274923\pi\) | |||||||
\(998\) | −0.979085 | − | 3.01331i | −0.0309924 | − | 0.0953848i | ||||
\(999\) | 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 | 450.2.h.g.181.1 | yes | 12 | |
3.2 | odd | 2 | 450.2.h.f.181.3 | ✓ | 12 | ||
25.21 | even | 5 | inner | 450.2.h.g.271.1 | yes | 12 | |
75.71 | odd | 10 | 450.2.h.f.271.3 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.h.f.181.3 | ✓ | 12 | 3.2 | odd | 2 | ||
450.2.h.f.271.3 | yes | 12 | 75.71 | odd | 10 | ||
450.2.h.g.181.1 | yes | 12 | 1.1 | even | 1 | trivial | |
450.2.h.g.271.1 | yes | 12 | 25.21 | even | 5 | inner |