Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(13,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bh (of order \(20\), degree \(8\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 525.13 |
Dual form | 525.2.bh.a.202.2 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{19}{20}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.65979 | + | 0.421270i | −1.88076 | + | 0.297883i | −0.988214 | − | 0.153078i | \(-0.951082\pi\) |
−0.892544 | + | 0.450960i | \(0.851082\pi\) | |||||||
\(3\) | 0.891007 | + | 0.453990i | 0.514423 | + | 0.262112i | ||||
\(4\) | 4.99492 | − | 1.62295i | 2.49746 | − | 0.811474i | ||||
\(5\) | −0.301881 | − | 2.21560i | −0.135005 | − | 0.990845i | ||||
\(6\) | −2.56115 | − | 0.832167i | −1.04558 | − | 0.339731i | ||||
\(7\) | 1.22751 | − | 2.34376i | 0.463956 | − | 0.885858i | ||||
\(8\) | −7.80289 | + | 3.97577i | −2.75874 | + | 1.40565i | ||||
\(9\) | 0.587785 | + | 0.809017i | 0.195928 | + | 0.269672i | ||||
\(10\) | 1.73630 | + | 5.76586i | 0.549068 | + | 1.82332i | ||||
\(11\) | 2.88419 | + | 2.09549i | 0.869616 | + | 0.631813i | 0.930484 | − | 0.366333i | \(-0.119387\pi\) |
−0.0608676 | + | 0.998146i | \(0.519387\pi\) | |||||||
\(12\) | 5.18731 | + | 0.821589i | 1.49745 | + | 0.237172i | ||||
\(13\) | 0.934003 | − | 5.89706i | 0.259046 | − | 1.63555i | −0.424346 | − | 0.905500i | \(-0.639496\pi\) |
0.683392 | − | 0.730051i | \(-0.260504\pi\) | |||||||
\(14\) | −2.27757 | + | 6.75103i | −0.608707 | + | 1.80429i | ||||
\(15\) | 0.736882 | − | 2.11116i | 0.190262 | − | 0.545100i | ||||
\(16\) | 10.5813 | − | 7.68779i | 2.64534 | − | 1.92195i | ||||
\(17\) | −0.635671 | + | 0.323890i | −0.154173 | + | 0.0785549i | −0.529375 | − | 0.848388i | \(-0.677573\pi\) |
0.375202 | + | 0.926943i | \(0.377573\pi\) | |||||||
\(18\) | −1.90420 | − | 1.90420i | −0.448825 | − | 0.448825i | ||||
\(19\) | −1.08852 | + | 3.35012i | −0.249724 | + | 0.768571i | 0.745100 | + | 0.666953i | \(0.232402\pi\) |
−0.994824 | + | 0.101618i | \(0.967598\pi\) | |||||||
\(20\) | −5.10367 | − | 10.5768i | −1.14121 | − | 2.36504i | ||||
\(21\) | 2.15777 | − | 1.53103i | 0.470863 | − | 0.334098i | ||||
\(22\) | −8.55412 | − | 4.35854i | −1.82374 | − | 0.929244i | ||||
\(23\) | −0.967431 | − | 6.10812i | −0.201723 | − | 1.27363i | −0.855842 | − | 0.517238i | \(-0.826960\pi\) |
0.654118 | − | 0.756392i | \(-0.273040\pi\) | |||||||
\(24\) | −8.75739 | −1.78759 | ||||||||
\(25\) | −4.81774 | + | 1.33769i | −0.963547 | + | 0.267538i | ||||
\(26\) | 16.0784i | 3.15324i | ||||||||
\(27\) | 0.156434 | + | 0.987688i | 0.0301058 | + | 0.190081i | ||||
\(28\) | 2.32752 | − | 13.6991i | 0.439860 | − | 2.58888i | ||||
\(29\) | −0.902636 | + | 0.293284i | −0.167615 | + | 0.0544615i | −0.391623 | − | 0.920126i | \(-0.628086\pi\) |
0.224007 | + | 0.974587i | \(0.428086\pi\) | |||||||
\(30\) | −1.07059 | + | 5.92568i | −0.195461 | + | 1.08188i | ||||
\(31\) | −0.610193 | − | 0.198264i | −0.109594 | − | 0.0356092i | 0.253707 | − | 0.967281i | \(-0.418350\pi\) |
−0.363301 | + | 0.931672i | \(0.618350\pi\) | |||||||
\(32\) | −12.5207 | + | 12.5207i | −2.21337 | + | 2.21337i | ||||
\(33\) | 1.61850 | + | 3.17649i | 0.281745 | + | 0.552956i | ||||
\(34\) | 1.55431 | − | 1.12927i | 0.266561 | − | 0.193668i | ||||
\(35\) | −5.56339 | − | 2.01213i | −0.940385 | − | 0.340113i | ||||
\(36\) | 4.24893 | + | 3.08703i | 0.708156 | + | 0.514505i | ||||
\(37\) | −1.17169 | + | 7.39773i | −0.192624 | + | 1.21618i | 0.681991 | + | 0.731361i | \(0.261115\pi\) |
−0.874615 | + | 0.484819i | \(0.838885\pi\) | |||||||
\(38\) | 1.48393 | − | 9.36919i | 0.240726 | − | 1.51988i | ||||
\(39\) | 3.50941 | − | 4.83029i | 0.561956 | − | 0.773466i | ||||
\(40\) | 11.1642 | + | 16.0879i | 1.76522 | + | 2.54371i | ||||
\(41\) | −5.83596 | − | 8.03251i | −0.911424 | − | 1.25447i | −0.966678 | − | 0.255996i | \(-0.917597\pi\) |
0.0552535 | − | 0.998472i | \(-0.482403\pi\) | |||||||
\(42\) | −5.09424 | + | 4.98122i | −0.786058 | + | 0.768619i | ||||
\(43\) | −0.144018 | − | 0.144018i | −0.0219626 | − | 0.0219626i | 0.696040 | − | 0.718003i | \(-0.254944\pi\) |
−0.718003 | + | 0.696040i | \(0.754944\pi\) | |||||||
\(44\) | 17.8072 | + | 5.78590i | 2.68453 | + | 0.872258i | ||||
\(45\) | 1.61501 | − | 1.54652i | 0.240752 | − | 0.230542i | ||||
\(46\) | 5.14633 | + | 15.8388i | 0.758785 | + | 2.33530i | ||||
\(47\) | 0.0925464 | − | 0.181633i | 0.0134993 | − | 0.0264938i | −0.884158 | − | 0.467187i | \(-0.845267\pi\) |
0.897658 | + | 0.440693i | \(0.145267\pi\) | |||||||
\(48\) | 12.9182 | − | 2.04605i | 1.86459 | − | 0.295321i | ||||
\(49\) | −3.98643 | − | 5.75399i | −0.569490 | − | 0.821998i | ||||
\(50\) | 12.2507 | − | 5.58755i | 1.73250 | − | 0.790199i | ||||
\(51\) | −0.713430 | −0.0999001 | ||||||||
\(52\) | −4.90536 | − | 30.9712i | −0.680251 | − | 4.29493i | ||||
\(53\) | 2.94211 | − | 5.77421i | 0.404129 | − | 0.793149i | −0.595821 | − | 0.803117i | \(-0.703173\pi\) |
0.999950 | + | 0.00996867i | \(0.00317318\pi\) | |||||||
\(54\) | −0.832167 | − | 2.56115i | −0.113244 | − | 0.348528i | ||||
\(55\) | 3.77207 | − | 7.02279i | 0.508626 | − | 0.946953i | ||||
\(56\) | −0.259882 | + | 23.1684i | −0.0347282 | + | 3.09601i | ||||
\(57\) | −2.49080 | + | 2.49080i | −0.329915 | + | 0.329915i | ||||
\(58\) | 2.27727 | − | 1.16033i | 0.299021 | − | 0.152359i | ||||
\(59\) | 11.1975 | − | 8.13546i | 1.45779 | − | 1.05915i | 0.473860 | − | 0.880600i | \(-0.342860\pi\) |
0.983931 | − | 0.178547i | \(-0.0571396\pi\) | |||||||
\(60\) | 0.254362 | − | 11.7410i | 0.0328380 | − | 1.51576i | ||||
\(61\) | 6.97927 | − | 9.60614i | 0.893604 | − | 1.22994i | −0.0788601 | − | 0.996886i | \(-0.525128\pi\) |
0.972464 | − | 0.233054i | \(-0.0748720\pi\) | |||||||
\(62\) | 1.70651 | + | 0.270285i | 0.216727 | + | 0.0343262i | ||||
\(63\) | 2.61766 | − | 0.384550i | 0.329794 | − | 0.0484488i | ||||
\(64\) | 12.6524 | − | 17.4145i | 1.58154 | − | 2.17681i | ||||
\(65\) | −13.3475 | − | 0.289165i | −1.65555 | − | 0.0358665i | ||||
\(66\) | −5.64304 | − | 7.76698i | −0.694610 | − | 0.956049i | ||||
\(67\) | 6.05998 | + | 11.8934i | 0.740344 | + | 1.45301i | 0.886007 | + | 0.463672i | \(0.153469\pi\) |
−0.145663 | + | 0.989334i | \(0.546531\pi\) | |||||||
\(68\) | −2.64947 | + | 2.64947i | −0.321295 | + | 0.321295i | ||||
\(69\) | 1.91104 | − | 5.88158i | 0.230062 | − | 0.708059i | ||||
\(70\) | 15.6451 | + | 3.00817i | 1.86995 | + | 0.359546i | ||||
\(71\) | 1.45594 | + | 4.48092i | 0.172788 | + | 0.531787i | 0.999526 | − | 0.0308007i | \(-0.00980572\pi\) |
−0.826737 | + | 0.562588i | \(0.809806\pi\) | |||||||
\(72\) | −7.80289 | − | 3.97577i | −0.919580 | − | 0.468549i | ||||
\(73\) | −9.83237 | + | 1.55729i | −1.15079 | + | 0.182268i | −0.702543 | − | 0.711641i | \(-0.747952\pi\) |
−0.448249 | + | 0.893909i | \(0.647952\pi\) | |||||||
\(74\) | − | 20.1700i | − | 2.34472i | ||||||
\(75\) | −4.89993 | − | 0.995315i | −0.565796 | − | 0.114929i | ||||
\(76\) | 18.5002i | 2.12212i | ||||||||
\(77\) | 8.45170 | − | 4.18762i | 0.963161 | − | 0.477224i | ||||
\(78\) | −7.29946 | + | 14.3260i | −0.826501 | + | 1.62210i | ||||
\(79\) | 7.35558 | − | 2.38997i | 0.827568 | − | 0.268893i | 0.135547 | − | 0.990771i | \(-0.456721\pi\) |
0.692020 | + | 0.721878i | \(0.256721\pi\) | |||||||
\(80\) | −20.2273 | − | 21.1232i | −2.26149 | − | 2.36164i | ||||
\(81\) | −0.309017 | + | 0.951057i | −0.0343352 | + | 0.105673i | ||||
\(82\) | 18.9063 | + | 18.9063i | 2.08785 | + | 2.08785i | ||||
\(83\) | −1.92583 | − | 3.77965i | −0.211387 | − | 0.414871i | 0.760830 | − | 0.648951i | \(-0.224792\pi\) |
−0.972217 | + | 0.234081i | \(0.924792\pi\) | |||||||
\(84\) | 8.29309 | − | 11.1493i | 0.904851 | − | 1.21649i | ||||
\(85\) | 0.909507 | + | 1.31061i | 0.0986499 | + | 0.142156i | ||||
\(86\) | 0.443730 | + | 0.322389i | 0.0478486 | + | 0.0347641i | ||||
\(87\) | −0.937403 | − | 0.148470i | −0.100500 | − | 0.0159177i | ||||
\(88\) | −30.8362 | − | 4.88398i | −3.28715 | − | 0.520634i | ||||
\(89\) | 6.27581 | + | 4.55964i | 0.665234 | + | 0.483321i | 0.868427 | − | 0.495818i | \(-0.165132\pi\) |
−0.203192 | + | 0.979139i | \(0.565132\pi\) | |||||||
\(90\) | −3.64410 | + | 4.79379i | −0.384122 | + | 0.505309i | ||||
\(91\) | −12.6748 | − | 9.42780i | −1.32868 | − | 0.988302i | ||||
\(92\) | −14.7454 | − | 28.9395i | −1.53731 | − | 3.01715i | ||||
\(93\) | −0.453676 | − | 0.453676i | −0.0470440 | − | 0.0470440i | ||||
\(94\) | −0.169638 | + | 0.522092i | −0.0174968 | + | 0.0538497i | ||||
\(95\) | 7.75112 | + | 1.40039i | 0.795248 | + | 0.143677i | ||||
\(96\) | −16.8403 | + | 5.47176i | −1.71876 | + | 0.558459i | ||||
\(97\) | 0.881635 | − | 1.73031i | 0.0895165 | − | 0.175686i | −0.841908 | − | 0.539622i | \(-0.818567\pi\) |
0.931424 | + | 0.363936i | \(0.118567\pi\) | |||||||
\(98\) | 13.0271 | + | 13.6251i | 1.31593 | + | 1.37634i | ||||
\(99\) | 3.56506i | 0.358302i | ||||||||
\(100\) | −21.8932 | + | 14.5006i | −2.18932 | + | 1.45006i | ||||
\(101\) | 6.42213i | 0.639026i | 0.947582 | + | 0.319513i | \(0.103519\pi\) | ||||
−0.947582 | + | 0.319513i | \(0.896481\pi\) | |||||||
\(102\) | 1.89758 | − | 0.300547i | 0.187888 | − | 0.0297585i | ||||
\(103\) | 1.83988 | + | 0.937468i | 0.181289 | + | 0.0923714i | 0.542280 | − | 0.840198i | \(-0.317561\pi\) |
−0.360991 | + | 0.932569i | \(0.617561\pi\) | |||||||
\(104\) | 16.1575 | + | 49.7275i | 1.58437 | + | 4.87619i | ||||
\(105\) | −4.04353 | − | 4.31855i | −0.394608 | − | 0.421447i | ||||
\(106\) | −5.39290 | + | 16.5976i | −0.523804 | + | 1.61210i | ||||
\(107\) | 1.30513 | − | 1.30513i | 0.126172 | − | 0.126172i | −0.641201 | − | 0.767373i | \(-0.721564\pi\) |
0.767373 | + | 0.641201i | \(0.221564\pi\) | |||||||
\(108\) | 2.38434 | + | 4.67954i | 0.229434 | + | 0.450289i | ||||
\(109\) | −2.93122 | − | 4.03447i | −0.280759 | − | 0.386432i | 0.645226 | − | 0.763992i | \(-0.276763\pi\) |
−0.925985 | + | 0.377560i | \(0.876763\pi\) | |||||||
\(110\) | −7.07445 | + | 20.2682i | −0.674522 | + | 1.93250i | ||||
\(111\) | −4.40248 | + | 6.05949i | −0.417865 | + | 0.575142i | ||||
\(112\) | −5.02963 | − | 34.2370i | −0.475255 | − | 3.23509i | ||||
\(113\) | 14.4782 | + | 2.29313i | 1.36200 | + | 0.215719i | 0.794304 | − | 0.607520i | \(-0.207836\pi\) |
0.567694 | + | 0.823240i | \(0.307836\pi\) | |||||||
\(114\) | 5.57572 | − | 7.67432i | 0.522214 | − | 0.718766i | ||||
\(115\) | −13.2411 | + | 3.98736i | −1.23474 | + | 0.371823i | ||||
\(116\) | −4.03261 | + | 2.92986i | −0.374418 | + | 0.272031i | ||||
\(117\) | 5.31982 | − | 2.71058i | 0.491817 | − | 0.250593i | ||||
\(118\) | −26.3558 | + | 26.3558i | −2.42625 | + | 2.42625i | ||||
\(119\) | −0.0211716 | + | 1.88744i | −0.00194079 | + | 0.173021i | ||||
\(120\) | 2.64369 | + | 19.4028i | 0.241334 | + | 1.77123i | ||||
\(121\) | 0.528304 | + | 1.62595i | 0.0480277 | + | 0.147814i | ||||
\(122\) | −14.5166 | + | 28.4905i | −1.31427 | + | 2.57941i | ||||
\(123\) | −1.55320 | − | 9.80650i | −0.140047 | − | 0.884222i | ||||
\(124\) | −3.36964 | −0.302602 | ||||||||
\(125\) | 4.41816 | + | 10.2703i | 0.395173 | + | 0.918607i | ||||
\(126\) | −6.80042 | + | 2.12556i | −0.605830 | + | 0.189360i | ||||
\(127\) | 1.49911 | − | 0.237436i | 0.133024 | − | 0.0210690i | −0.0895671 | − | 0.995981i | \(-0.528548\pi\) |
0.222592 | + | 0.974912i | \(0.428548\pi\) | |||||||
\(128\) | −10.2389 | + | 20.0949i | −0.904996 | + | 1.77615i | ||||
\(129\) | −0.0629384 | − | 0.193704i | −0.00554141 | − | 0.0170547i | ||||
\(130\) | 35.6233 | − | 4.85377i | 3.12437 | − | 0.425704i | ||||
\(131\) | −2.59392 | − | 0.842814i | −0.226632 | − | 0.0736370i | 0.193500 | − | 0.981100i | \(-0.438016\pi\) |
−0.420131 | + | 0.907463i | \(0.638016\pi\) | |||||||
\(132\) | 13.2396 | + | 13.2396i | 1.15236 | + | 1.15236i | ||||
\(133\) | 6.51571 | + | 6.66354i | 0.564984 | + | 0.577803i | ||||
\(134\) | −21.1286 | − | 29.0810i | −1.82523 | − | 2.51222i | ||||
\(135\) | 2.14109 | − | 0.644760i | 0.184276 | − | 0.0554921i | ||||
\(136\) | 3.67235 | − | 5.05456i | 0.314902 | − | 0.433425i | ||||
\(137\) | −2.24329 | + | 14.1636i | −0.191657 | + | 1.21008i | 0.684849 | + | 0.728685i | \(0.259868\pi\) |
−0.876506 | + | 0.481391i | \(0.840132\pi\) | |||||||
\(138\) | −2.60524 | + | 16.4488i | −0.221773 | + | 1.40022i | ||||
\(139\) | −7.04319 | − | 5.11718i | −0.597396 | − | 0.434033i | 0.247558 | − | 0.968873i | \(-0.420372\pi\) |
−0.844954 | + | 0.534840i | \(0.820372\pi\) | |||||||
\(140\) | −31.0543 | − | 1.02136i | −2.62457 | − | 0.0863207i | ||||
\(141\) | 0.164919 | − | 0.119821i | 0.0138887 | − | 0.0100907i | ||||
\(142\) | −5.76017 | − | 11.3050i | −0.483383 | − | 0.948693i | ||||
\(143\) | 15.0511 | − | 15.0511i | 1.25863 | − | 1.25863i | ||||
\(144\) | 12.4391 | + | 4.04171i | 1.03659 | + | 0.336809i | ||||
\(145\) | 0.922288 | + | 1.91134i | 0.0765918 | + | 0.158728i | ||||
\(146\) | 25.4960 | − | 8.28417i | 2.11007 | − | 0.685603i | ||||
\(147\) | −0.939679 | − | 6.93664i | −0.0775035 | − | 0.572125i | ||||
\(148\) | 6.15366 | + | 38.8527i | 0.505828 | + | 3.19367i | ||||
\(149\) | 5.21840i | 0.427508i | 0.976887 | + | 0.213754i | \(0.0685692\pi\) | ||||
−0.976887 | + | 0.213754i | \(0.931431\pi\) | |||||||
\(150\) | 13.4521 | + | 0.583138i | 1.09836 | + | 0.0476130i | ||||
\(151\) | −5.23743 | −0.426216 | −0.213108 | − | 0.977029i | \(-0.568359\pi\) | ||||
−0.213108 | + | 0.977029i | \(0.568359\pi\) | |||||||
\(152\) | −4.82571 | − | 30.4683i | −0.391417 | − | 2.47131i | ||||
\(153\) | −0.635671 | − | 0.323890i | −0.0513909 | − | 0.0261850i | ||||
\(154\) | −20.7157 | + | 14.6987i | −1.66932 | + | 1.18445i | ||||
\(155\) | −0.255067 | + | 1.41179i | −0.0204875 | + | 0.113398i | ||||
\(156\) | 9.68993 | − | 29.8225i | 0.775815 | − | 2.38771i | ||||
\(157\) | −7.21390 | − | 7.21390i | −0.575732 | − | 0.575732i | 0.357993 | − | 0.933724i | \(-0.383461\pi\) |
−0.933724 | + | 0.357993i | \(0.883461\pi\) | |||||||
\(158\) | −18.5575 | + | 9.45552i | −1.47636 | + | 0.752241i | ||||
\(159\) | 5.24287 | − | 3.80917i | 0.415787 | − | 0.302087i | ||||
\(160\) | 31.5206 | + | 23.9611i | 2.49193 | + | 1.89429i | ||||
\(161\) | −15.5035 | − | 5.23036i | −1.22185 | − | 0.412210i | ||||
\(162\) | 0.421270 | − | 2.65979i | 0.0330981 | − | 0.208973i | ||||
\(163\) | −7.64463 | − | 1.21079i | −0.598773 | − | 0.0948364i | −0.150312 | − | 0.988639i | \(-0.548028\pi\) |
−0.448461 | + | 0.893802i | \(0.648028\pi\) | |||||||
\(164\) | −42.1865 | − | 30.6503i | −3.29421 | − | 2.39339i | ||||
\(165\) | 6.54922 | − | 4.54487i | 0.509856 | − | 0.353817i | ||||
\(166\) | 6.71456 | + | 9.24180i | 0.521151 | + | 0.717303i | ||||
\(167\) | −22.3942 | + | 11.4104i | −1.73292 | + | 0.882965i | −0.760625 | + | 0.649191i | \(0.775107\pi\) |
−0.972291 | + | 0.233774i | \(0.924893\pi\) | |||||||
\(168\) | −10.7498 | + | 20.5252i | −0.829365 | + | 1.58356i | ||||
\(169\) | −21.5393 | − | 6.99853i | −1.65687 | − | 0.538349i | ||||
\(170\) | −2.97122 | − | 3.10281i | −0.227882 | − | 0.237975i | ||||
\(171\) | −3.35012 | + | 1.08852i | −0.256190 | + | 0.0832412i | ||||
\(172\) | −0.953095 | − | 0.485626i | −0.0726728 | − | 0.0370287i | ||||
\(173\) | 5.85870 | − | 0.927927i | 0.445429 | − | 0.0705490i | 0.0703089 | − | 0.997525i | \(-0.477601\pi\) |
0.375120 | + | 0.926976i | \(0.377601\pi\) | |||||||
\(174\) | 2.55584 | 0.193758 | ||||||||
\(175\) | −2.77860 | + | 12.9337i | −0.210042 | + | 0.977692i | ||||
\(176\) | 46.6283 | 3.51474 | ||||||||
\(177\) | 13.6705 | − | 2.16519i | 1.02754 | − | 0.162746i | ||||
\(178\) | −18.6132 | − | 9.48390i | −1.39512 | − | 0.710848i | ||||
\(179\) | −13.5168 | + | 4.39187i | −1.01029 | + | 0.328264i | −0.766971 | − | 0.641682i | \(-0.778237\pi\) |
−0.243322 | + | 0.969946i | \(0.578237\pi\) | |||||||
\(180\) | 5.55694 | − | 10.3458i | 0.414190 | − | 0.771133i | ||||
\(181\) | 4.17580 | + | 1.35680i | 0.310384 | + | 0.100850i | 0.460067 | − | 0.887884i | \(-0.347825\pi\) |
−0.149683 | + | 0.988734i | \(0.547825\pi\) | |||||||
\(182\) | 37.6840 | + | 19.7365i | 2.79333 | + | 1.46296i | ||||
\(183\) | 10.5797 | − | 5.39061i | 0.782072 | − | 0.398485i | ||||
\(184\) | 31.8332 | + | 43.8147i | 2.34678 | + | 3.23006i | ||||
\(185\) | 16.7441 | + | 0.362751i | 1.23105 | + | 0.0266700i | ||||
\(186\) | 1.39780 | + | 1.01556i | 0.102492 | + | 0.0744648i | ||||
\(187\) | −2.51210 | − | 0.397878i | −0.183703 | − | 0.0290957i | ||||
\(188\) | 0.167482 | − | 1.05744i | 0.0122149 | − | 0.0771216i | ||||
\(189\) | 2.50693 | + | 0.845754i | 0.182352 | + | 0.0615196i | ||||
\(190\) | −21.2063 | − | 0.459423i | −1.53847 | − | 0.0333300i | ||||
\(191\) | 5.64418 | − | 4.10073i | 0.408398 | − | 0.296719i | −0.364555 | − | 0.931182i | \(-0.618779\pi\) |
0.772953 | + | 0.634463i | \(0.218779\pi\) | |||||||
\(192\) | 19.1793 | − | 9.77236i | 1.38415 | − | 0.705259i | ||||
\(193\) | −1.86859 | − | 1.86859i | −0.134504 | − | 0.134504i | 0.636649 | − | 0.771153i | \(-0.280320\pi\) |
−0.771153 | + | 0.636649i | \(0.780320\pi\) | |||||||
\(194\) | −1.61604 | + | 4.97366i | −0.116025 | + | 0.357088i | ||||
\(195\) | −11.7614 | − | 6.31727i | −0.842252 | − | 0.452389i | ||||
\(196\) | −29.2503 | − | 22.2709i | −2.08931 | − | 1.59078i | ||||
\(197\) | 0.583195 | + | 0.297153i | 0.0415509 | + | 0.0211713i | 0.474643 | − | 0.880179i | \(-0.342577\pi\) |
−0.433092 | + | 0.901350i | \(0.642577\pi\) | |||||||
\(198\) | −1.50185 | − | 9.48232i | −0.106732 | − | 0.673879i | ||||
\(199\) | 19.7941 | 1.40317 | 0.701585 | − | 0.712586i | \(-0.252476\pi\) | ||||
0.701585 | + | 0.712586i | \(0.252476\pi\) | |||||||
\(200\) | 32.2739 | − | 29.5921i | 2.28211 | − | 2.09248i | ||||
\(201\) | 13.3482i | 0.941513i | ||||||||
\(202\) | −2.70545 | − | 17.0815i | −0.190355 | − | 1.20185i | ||||
\(203\) | −0.420608 | + | 2.47557i | −0.0295209 | + | 0.173751i | ||||
\(204\) | −3.56353 | + | 1.15786i | −0.249497 | + | 0.0810664i | ||||
\(205\) | −16.0350 | + | 15.3550i | −1.11994 | + | 1.07244i | ||||
\(206\) | −5.28864 | − | 1.71838i | −0.368477 | − | 0.119725i | ||||
\(207\) | 4.37293 | − | 4.37293i | 0.303940 | − | 0.303940i | ||||
\(208\) | −35.4524 | − | 69.5793i | −2.45818 | − | 4.82445i | ||||
\(209\) | −10.1596 | + | 7.38141i | −0.702757 | + | 0.510583i | ||||
\(210\) | 12.5742 | + | 9.78304i | 0.867704 | + | 0.675094i | ||||
\(211\) | 15.7409 | + | 11.4364i | 1.08365 | + | 0.787316i | 0.978315 | − | 0.207121i | \(-0.0664094\pi\) |
0.105332 | + | 0.994437i | \(0.466409\pi\) | |||||||
\(212\) | 5.32435 | − | 33.6166i | 0.365678 | − | 2.30880i | ||||
\(213\) | −0.737044 | + | 4.65351i | −0.0505014 | + | 0.318853i | ||||
\(214\) | −2.92156 | + | 4.02119i | −0.199714 | + | 0.274883i | ||||
\(215\) | −0.275610 | + | 0.362563i | −0.0187965 | + | 0.0247266i | ||||
\(216\) | −5.14746 | − | 7.08488i | −0.350241 | − | 0.482065i | ||||
\(217\) | −1.21370 | + | 1.18678i | −0.0823914 | + | 0.0805635i | ||||
\(218\) | 9.49603 | + | 9.49603i | 0.643152 | + | 0.643152i | ||||
\(219\) | −9.46771 | − | 3.07624i | −0.639768 | − | 0.207873i | ||||
\(220\) | 7.44359 | − | 41.2002i | 0.501846 | − | 2.77771i | ||||
\(221\) | 1.31628 | + | 4.05110i | 0.0885428 | + | 0.272507i | ||||
\(222\) | 9.15701 | − | 17.9716i | 0.614578 | − | 1.20618i | ||||
\(223\) | 10.4108 | − | 1.64891i | 0.697158 | − | 0.110419i | 0.202211 | − | 0.979342i | \(-0.435187\pi\) |
0.494947 | + | 0.868923i | \(0.335187\pi\) | |||||||
\(224\) | 13.9763 | + | 44.7149i | 0.933828 | + | 2.98764i | ||||
\(225\) | −3.91401 | − | 3.11136i | −0.260934 | − | 0.207424i | ||||
\(226\) | −39.4752 | −2.62585 | ||||||||
\(227\) | 2.00907 | + | 12.6847i | 0.133346 | + | 0.841916i | 0.960162 | + | 0.279443i | \(0.0901499\pi\) |
−0.826816 | + | 0.562473i | \(0.809850\pi\) | |||||||
\(228\) | −8.39892 | + | 16.4838i | −0.556232 | + | 1.09167i | ||||
\(229\) | 3.99133 | + | 12.2841i | 0.263755 | + | 0.811754i | 0.991978 | + | 0.126413i | \(0.0403466\pi\) |
−0.728223 | + | 0.685340i | \(0.759653\pi\) | |||||||
\(230\) | 33.5388 | − | 16.1836i | 2.21148 | − | 1.06712i | ||||
\(231\) | 9.43166 | + | 0.105796i | 0.620558 | + | 0.00696085i | ||||
\(232\) | 5.87714 | − | 5.87714i | 0.385853 | − | 0.385853i | ||||
\(233\) | 2.10311 | − | 1.07159i | 0.137779 | − | 0.0702020i | −0.383742 | − | 0.923440i | \(-0.625365\pi\) |
0.521521 | + | 0.853238i | \(0.325365\pi\) | |||||||
\(234\) | −13.0077 | + | 9.45067i | −0.850342 | + | 0.617810i | ||||
\(235\) | −0.430362 | − | 0.150214i | −0.0280737 | − | 0.00979889i | ||||
\(236\) | 42.7272 | − | 58.8090i | 2.78131 | − | 3.82814i | ||||
\(237\) | 7.63890 | + | 1.20988i | 0.496200 | + | 0.0785903i | ||||
\(238\) | −0.738809 | − | 5.02912i | −0.0478899 | − | 0.325989i | ||||
\(239\) | 17.5504 | − | 24.1561i | 1.13524 | − | 1.56253i | 0.357536 | − | 0.933899i | \(-0.383617\pi\) |
0.777706 | − | 0.628628i | \(-0.216383\pi\) | |||||||
\(240\) | −8.43298 | − | 28.0039i | −0.544346 | − | 1.80765i | ||||
\(241\) | 14.3947 | + | 19.8126i | 0.927242 | + | 1.27624i | 0.960926 | + | 0.276806i | \(0.0892760\pi\) |
−0.0336841 | + | 0.999433i | \(0.510724\pi\) | |||||||
\(242\) | −2.09015 | − | 4.10214i | −0.134360 | − | 0.263696i | ||||
\(243\) | −0.707107 | + | 0.707107i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | 19.2706 | − | 59.3089i | 1.23368 | − | 3.79686i | ||||
\(245\) | −11.5451 | + | 10.5693i | −0.737589 | + | 0.675250i | ||||
\(246\) | 8.26236 | + | 25.4289i | 0.526789 | + | 1.62129i | ||||
\(247\) | 18.7392 | + | 9.54810i | 1.19235 | + | 0.607531i | ||||
\(248\) | 5.54952 | − | 0.878958i | 0.352395 | − | 0.0558139i | ||||
\(249\) | − | 4.24200i | − | 0.268826i | ||||||
\(250\) | −16.0780 | − | 25.4557i | −1.01686 | − | 1.60996i | ||||
\(251\) | − | 26.4097i | − | 1.66697i | −0.552544 | − | 0.833484i | \(-0.686343\pi\) | ||
0.552544 | − | 0.833484i | \(-0.313657\pi\) | |||||||
\(252\) | 12.4509 | − | 6.16912i | 0.784332 | − | 0.388618i | ||||
\(253\) | 10.0092 | − | 19.6442i | 0.629275 | − | 1.23502i | ||||
\(254\) | −3.88730 | + | 1.26306i | −0.243911 | + | 0.0792514i | ||||
\(255\) | 0.215371 | + | 1.58067i | 0.0134870 | + | 0.0989856i | ||||
\(256\) | 5.46441 | − | 16.8177i | 0.341525 | − | 1.05111i | ||||
\(257\) | 13.7974 | + | 13.7974i | 0.860658 | + | 0.860658i | 0.991415 | − | 0.130757i | \(-0.0417406\pi\) |
−0.130757 | + | 0.991415i | \(0.541741\pi\) | |||||||
\(258\) | 0.249005 | + | 0.488700i | 0.0155024 | + | 0.0304251i | ||||
\(259\) | 15.9003 | + | 11.8270i | 0.987994 | + | 0.734891i | ||||
\(260\) | −67.1389 | + | 20.2179i | −4.16378 | + | 1.25386i | ||||
\(261\) | −0.767828 | − | 0.557860i | −0.0475274 | − | 0.0345306i | ||||
\(262\) | 7.25433 | + | 1.14897i | 0.448174 | + | 0.0709838i | ||||
\(263\) | 6.68590 | + | 1.05894i | 0.412270 | + | 0.0652972i | 0.359125 | − | 0.933290i | \(-0.383075\pi\) |
0.0531455 | + | 0.998587i | \(0.483075\pi\) | |||||||
\(264\) | −25.2580 | − | 18.3510i | −1.55452 | − | 1.12943i | ||||
\(265\) | −13.6815 | − | 4.77540i | −0.840447 | − | 0.293350i | ||||
\(266\) | −20.1376 | − | 14.9788i | −1.23472 | − | 0.918408i | ||||
\(267\) | 3.52175 | + | 6.91183i | 0.215528 | + | 0.422997i | ||||
\(268\) | 49.5714 | + | 49.5714i | 3.02806 | + | 3.02806i | ||||
\(269\) | −5.64367 | + | 17.3694i | −0.344100 | + | 1.05903i | 0.617963 | + | 0.786207i | \(0.287958\pi\) |
−0.962064 | + | 0.272825i | \(0.912042\pi\) | |||||||
\(270\) | −5.42325 | + | 2.61691i | −0.330049 | + | 0.159260i | ||||
\(271\) | −13.5681 | + | 4.40854i | −0.824204 | + | 0.267800i | −0.690602 | − | 0.723235i | \(-0.742654\pi\) |
−0.133602 | + | 0.991035i | \(0.542654\pi\) | |||||||
\(272\) | −4.23624 | + | 8.31410i | −0.256860 | + | 0.504116i | ||||
\(273\) | −7.01321 | − | 14.1545i | −0.424459 | − | 0.856668i | ||||
\(274\) | − | 38.6172i | − | 2.33295i | ||||||
\(275\) | −16.6984 | − | 6.23735i | −1.00695 | − | 0.376126i | ||||
\(276\) | − | 32.4795i | − | 1.95504i | ||||||
\(277\) | 1.08945 | − | 0.172552i | 0.0654589 | − | 0.0103677i | −0.123619 | − | 0.992330i | \(-0.539450\pi\) |
0.189078 | + | 0.981962i | \(0.439450\pi\) | |||||||
\(278\) | 20.8892 | + | 10.6436i | 1.25285 | + | 0.638358i | ||||
\(279\) | −0.198264 | − | 0.610193i | −0.0118697 | − | 0.0365313i | ||||
\(280\) | 51.4103 | − | 6.41830i | 3.07235 | − | 0.383567i | ||||
\(281\) | −5.32860 | + | 16.3998i | −0.317878 | + | 0.978328i | 0.656676 | + | 0.754173i | \(0.271962\pi\) |
−0.974554 | + | 0.224154i | \(0.928038\pi\) | |||||||
\(282\) | −0.388173 | + | 0.388173i | −0.0231154 | + | 0.0231154i | ||||
\(283\) | 7.35468 | + | 14.4344i | 0.437190 | + | 0.858034i | 0.999516 | + | 0.0311180i | \(0.00990677\pi\) |
−0.562326 | + | 0.826916i | \(0.690093\pi\) | |||||||
\(284\) | 14.5446 | + | 20.0189i | 0.863063 | + | 1.18790i | ||||
\(285\) | 6.27054 | + | 4.76669i | 0.371435 | + | 0.282354i | ||||
\(286\) | −33.6922 | + | 46.3733i | −1.99226 | + | 2.74211i | ||||
\(287\) | −25.9900 | + | 3.81810i | −1.53414 | + | 0.225375i | ||||
\(288\) | −17.4890 | − | 2.76998i | −1.03055 | − | 0.163223i | ||||
\(289\) | −9.69318 | + | 13.3415i | −0.570187 | + | 0.784795i | ||||
\(290\) | −3.25829 | − | 4.69524i | −0.191333 | − | 0.275714i | ||||
\(291\) | 1.57109 | − | 1.14146i | 0.0920987 | − | 0.0669136i | ||||
\(292\) | −46.5845 | + | 23.7360i | −2.72615 | + | 1.38904i | ||||
\(293\) | −3.95565 | + | 3.95565i | −0.231091 | + | 0.231091i | −0.813148 | − | 0.582057i | \(-0.802248\pi\) |
0.582057 | + | 0.813148i | \(0.302248\pi\) | |||||||
\(294\) | 5.42155 | + | 18.0542i | 0.316191 | + | 1.05294i | ||||
\(295\) | −21.4052 | − | 22.3532i | −1.24626 | − | 1.30145i | ||||
\(296\) | −20.2692 | − | 62.3821i | −1.17812 | − | 3.62588i | ||||
\(297\) | −1.61850 | + | 3.17649i | −0.0939150 | + | 0.184319i | ||||
\(298\) | −2.19836 | − | 13.8799i | −0.127347 | − | 0.804040i | ||||
\(299\) | −36.9235 | −2.13534 | ||||||||
\(300\) | −26.0901 | + | 2.98082i | −1.50631 | + | 0.172098i | ||||
\(301\) | −0.514329 | + | 0.160760i | −0.0296454 | + | 0.00926608i | ||||
\(302\) | 13.9305 | − | 2.20637i | 0.801610 | − | 0.126962i | ||||
\(303\) | −2.91559 | + | 5.72216i | −0.167496 | + | 0.328729i | ||||
\(304\) | 14.2370 | + | 43.8171i | 0.816550 | + | 2.51308i | ||||
\(305\) | −23.3902 | − | 12.5633i | −1.33932 | − | 0.719375i | ||||
\(306\) | 1.82720 | + | 0.593693i | 0.104454 | + | 0.0339391i | ||||
\(307\) | 2.80861 | + | 2.80861i | 0.160296 | + | 0.160296i | 0.782698 | − | 0.622402i | \(-0.213843\pi\) |
−0.622402 | + | 0.782698i | \(0.713843\pi\) | |||||||
\(308\) | 35.4193 | − | 34.6335i | 2.01820 | − | 1.97343i | ||||
\(309\) | 1.21375 | + | 1.67058i | 0.0690477 | + | 0.0950359i | ||||
\(310\) | 0.0836795 | − | 3.86253i | 0.00475268 | − | 0.219377i | ||||
\(311\) | −13.2316 | + | 18.2118i | −0.750296 | + | 1.03269i | 0.247663 | + | 0.968846i | \(0.420337\pi\) |
−0.997960 | + | 0.0638481i | \(0.979663\pi\) | |||||||
\(312\) | −8.17943 | + | 51.6429i | −0.463069 | + | 2.92370i | ||||
\(313\) | −0.577758 | + | 3.64782i | −0.0326568 | + | 0.206187i | −0.998622 | − | 0.0524864i | \(-0.983285\pi\) |
0.965965 | + | 0.258674i | \(0.0832854\pi\) | |||||||
\(314\) | 22.2265 | + | 16.1485i | 1.25431 | + | 0.911312i | ||||
\(315\) | −1.64223 | − | 5.68358i | −0.0925290 | − | 0.320233i | ||||
\(316\) | 32.8617 | − | 23.8755i | 1.84862 | − | 1.34310i | ||||
\(317\) | 6.66191 | + | 13.0747i | 0.374170 | + | 0.734350i | 0.998919 | − | 0.0464754i | \(-0.0147989\pi\) |
−0.624750 | + | 0.780825i | \(0.714799\pi\) | |||||||
\(318\) | −12.3403 | + | 12.3403i | −0.692008 | + | 0.692008i | ||||
\(319\) | −3.21795 | − | 1.04557i | −0.180171 | − | 0.0585410i | ||||
\(320\) | −42.4030 | − | 22.7754i | −2.37040 | − | 1.27319i | ||||
\(321\) | 1.75539 | − | 0.570362i | 0.0979766 | − | 0.0318345i | ||||
\(322\) | 43.4395 | + | 7.38052i | 2.42079 | + | 0.411300i | ||||
\(323\) | −0.393132 | − | 2.48213i | −0.0218744 | − | 0.138110i | ||||
\(324\) | 5.25197i | 0.291776i | ||||||||
\(325\) | 3.38867 | + | 29.6599i | 0.187970 | + | 1.64524i | ||||
\(326\) | 20.8432 | 1.15440 | ||||||||
\(327\) | −0.780120 | − | 4.92548i | −0.0431407 | − | 0.272380i | ||||
\(328\) | 77.4728 | + | 39.4744i | 4.27772 | + | 2.17961i | ||||
\(329\) | −0.312101 | − | 0.439863i | −0.0172067 | − | 0.0242504i | ||||
\(330\) | −15.5050 | + | 14.8474i | −0.853520 | + | 0.817322i | ||||
\(331\) | −0.851771 | + | 2.62148i | −0.0468176 | + | 0.144090i | −0.971733 | − | 0.236084i | \(-0.924136\pi\) |
0.924915 | + | 0.380174i | \(0.124136\pi\) | |||||||
\(332\) | −15.7535 | − | 15.7535i | −0.864588 | − | 0.864588i | ||||
\(333\) | −6.67359 | + | 3.40037i | −0.365711 | + | 0.186339i | ||||
\(334\) | 54.7571 | − | 39.7834i | 2.99618 | − | 2.17685i | ||||
\(335\) | 24.5215 | − | 17.0168i | 1.33975 | − | 0.929729i | ||||
\(336\) | 11.0618 | − | 32.7888i | 0.603472 | − | 1.78877i | ||||
\(337\) | 0.607099 | − | 3.83307i | 0.0330708 | − | 0.208801i | −0.965620 | − | 0.259958i | \(-0.916291\pi\) |
0.998691 | + | 0.0511578i | \(0.0162911\pi\) | |||||||
\(338\) | 60.2383 | + | 9.54081i | 3.27653 | + | 0.518952i | ||||
\(339\) | 11.8591 | + | 8.61618i | 0.644101 | + | 0.467966i | ||||
\(340\) | 6.66997 | + | 5.07033i | 0.361730 | + | 0.274977i | ||||
\(341\) | −1.34445 | − | 1.85048i | −0.0728063 | − | 0.100209i | ||||
\(342\) | 8.45207 | − | 4.30655i | 0.457036 | − | 0.232871i | ||||
\(343\) | −18.3794 | + | 2.28015i | −0.992392 | + | 0.123117i | ||||
\(344\) | 1.69634 | + | 0.551176i | 0.0914608 | + | 0.0297174i | ||||
\(345\) | −13.6081 | − | 2.45856i | −0.732636 | − | 0.132364i | ||||
\(346\) | −15.1920 | + | 4.93619i | −0.816729 | + | 0.265371i | ||||
\(347\) | −5.88741 | − | 2.99979i | −0.316053 | − | 0.161037i | 0.288767 | − | 0.957399i | \(-0.406755\pi\) |
−0.604820 | + | 0.796362i | \(0.706755\pi\) | |||||||
\(348\) | −4.92321 | + | 0.779760i | −0.263912 | + | 0.0417995i | ||||
\(349\) | −25.6042 | −1.37056 | −0.685280 | − | 0.728279i | \(-0.740320\pi\) | ||||
−0.685280 | + | 0.728279i | \(0.740320\pi\) | |||||||
\(350\) | 1.94194 | − | 35.5714i | 0.103801 | − | 1.90137i | ||||
\(351\) | 5.97057 | 0.318686 | ||||||||
\(352\) | −62.3492 | + | 9.87514i | −3.32322 | + | 0.526347i | ||||
\(353\) | 17.0664 | + | 8.69577i | 0.908353 | + | 0.462829i | 0.844759 | − | 0.535147i | \(-0.179744\pi\) |
0.0635939 | + | 0.997976i | \(0.479744\pi\) | |||||||
\(354\) | −35.4485 | + | 11.5179i | −1.88407 | + | 0.612171i | ||||
\(355\) | 9.48839 | − | 4.57848i | 0.503592 | − | 0.243000i | ||||
\(356\) | 38.7472 | + | 12.5897i | 2.05360 | + | 0.667255i | ||||
\(357\) | −0.875743 | + | 1.67211i | −0.0463493 | + | 0.0884974i | ||||
\(358\) | 34.1017 | − | 17.3757i | 1.80233 | − | 0.918334i | ||||
\(359\) | −3.76964 | − | 5.18846i | −0.198954 | − | 0.273837i | 0.697870 | − | 0.716225i | \(-0.254131\pi\) |
−0.896824 | + | 0.442388i | \(0.854131\pi\) | |||||||
\(360\) | −6.45316 | + | 18.4883i | −0.340112 | + | 0.974417i | ||||
\(361\) | 5.33289 | + | 3.87457i | 0.280678 | + | 0.203925i | ||||
\(362\) | −11.6783 | − | 1.84967i | −0.613800 | − | 0.0972163i | ||||
\(363\) | −0.267445 | + | 1.68858i | −0.0140372 | + | 0.0886275i | ||||
\(364\) | −78.6105 | − | 26.5205i | −4.12031 | − | 1.39005i | ||||
\(365\) | 6.41854 | + | 21.3145i | 0.335962 | + | 1.11565i | ||||
\(366\) | −25.8688 | + | 18.7948i | −1.35219 | + | 0.982420i | ||||
\(367\) | 28.3521 | − | 14.4461i | 1.47997 | − | 0.754082i | 0.487106 | − | 0.873343i | \(-0.338052\pi\) |
0.992863 | + | 0.119261i | \(0.0380524\pi\) | |||||||
\(368\) | −57.1947 | − | 57.1947i | −2.98148 | − | 2.98148i | ||||
\(369\) | 3.06815 | − | 9.44279i | 0.159721 | − | 0.491572i | ||||
\(370\) | −44.6887 | + | 6.08894i | −2.32325 | + | 0.316549i | ||||
\(371\) | −9.92190 | − | 13.9835i | −0.515119 | − | 0.725987i | ||||
\(372\) | −3.00237 | − | 1.52978i | −0.155666 | − | 0.0793156i | ||||
\(373\) | −0.614114 | − | 3.87736i | −0.0317976 | − | 0.200762i | 0.966675 | − | 0.256006i | \(-0.0824065\pi\) |
−0.998473 | + | 0.0552434i | \(0.982407\pi\) | |||||||
\(374\) | 6.84929 | 0.354168 | ||||||||
\(375\) | −0.726022 | + | 11.1567i | −0.0374916 | + | 0.576132i | ||||
\(376\) | 1.78520i | 0.0920648i | ||||||||
\(377\) | 0.886451 | + | 5.59683i | 0.0456545 | + | 0.288251i | ||||
\(378\) | −7.02421 | − | 1.19344i | −0.361286 | − | 0.0613838i | ||||
\(379\) | 31.4011 | − | 10.2028i | 1.61297 | − | 0.524085i | 0.642699 | − | 0.766119i | \(-0.277815\pi\) |
0.970268 | + | 0.242034i | \(0.0778147\pi\) | |||||||
\(380\) | 40.9890 | − | 5.58485i | 2.10269 | − | 0.286497i | ||||
\(381\) | 1.44351 | + | 0.469025i | 0.0739533 | + | 0.0240289i | ||||
\(382\) | −13.2848 | + | 13.2848i | −0.679711 | + | 0.679711i | ||||
\(383\) | 3.38093 | + | 6.63544i | 0.172757 | + | 0.339055i | 0.961109 | − | 0.276170i | \(-0.0890652\pi\) |
−0.788352 | + | 0.615225i | \(0.789065\pi\) | |||||||
\(384\) | −18.2458 | + | 13.2563i | −0.931101 | + | 0.676485i | ||||
\(385\) | −11.8295 | − | 17.4614i | −0.602886 | − | 0.889915i | ||||
\(386\) | 5.75724 | + | 4.18288i | 0.293036 | + | 0.212903i | ||||
\(387\) | 0.0318615 | − | 0.201165i | 0.00161961 | − | 0.0102258i | ||||
\(388\) | 1.59550 | − | 10.0736i | 0.0809993 | − | 0.511409i | ||||
\(389\) | 0.285958 | − | 0.393587i | 0.0144986 | − | 0.0199556i | −0.801706 | − | 0.597718i | \(-0.796074\pi\) |
0.816205 | + | 0.577763i | \(0.196074\pi\) | |||||||
\(390\) | 33.9442 | + | 11.8479i | 1.71883 | + | 0.599943i | ||||
\(391\) | 2.59333 | + | 3.56941i | 0.131150 | + | 0.180513i | ||||
\(392\) | 53.9822 | + | 29.0486i | 2.72651 | + | 1.46718i | ||||
\(393\) | −1.92857 | − | 1.92857i | −0.0972833 | − | 0.0972833i | ||||
\(394\) | −1.67636 | − | 0.544682i | −0.0844538 | − | 0.0274407i | ||||
\(395\) | −7.51572 | − | 15.5755i | −0.378157 | − | 0.783689i | ||||
\(396\) | 5.78590 | + | 17.8072i | 0.290753 | + | 0.894844i | ||||
\(397\) | −12.6598 | + | 24.8462i | −0.635376 | + | 1.24700i | 0.318821 | + | 0.947815i | \(0.396713\pi\) |
−0.954197 | + | 0.299180i | \(0.903287\pi\) | |||||||
\(398\) | −52.6483 | + | 8.33868i | −2.63902 | + | 0.417980i | ||||
\(399\) | 2.78036 | + | 8.89533i | 0.139192 | + | 0.445324i | ||||
\(400\) | −40.6942 | + | 51.1923i | −2.03471 | + | 2.55962i | ||||
\(401\) | 27.3595 | 1.36627 | 0.683134 | − | 0.730293i | \(-0.260616\pi\) | ||||
0.683134 | + | 0.730293i | \(0.260616\pi\) | |||||||
\(402\) | −5.62321 | − | 35.5036i | −0.280460 | − | 1.77076i | ||||
\(403\) | −1.73910 | + | 3.41317i | −0.0866305 | + | 0.170022i | ||||
\(404\) | 10.4228 | + | 32.0780i | 0.518553 | + | 1.59594i | ||||
\(405\) | 2.20044 | + | 0.397552i | 0.109341 | + | 0.0197545i | ||||
\(406\) | 0.0758466 | − | 6.76170i | 0.00376420 | − | 0.335578i | ||||
\(407\) | −18.8812 | + | 18.8812i | −0.935908 | + | 0.935908i | ||||
\(408\) | 5.56681 | − | 2.83643i | 0.275598 | − | 0.140424i | ||||
\(409\) | 1.56310 | − | 1.13566i | 0.0772905 | − | 0.0561549i | −0.548469 | − | 0.836171i | \(-0.684789\pi\) |
0.625760 | + | 0.780016i | \(0.284789\pi\) | |||||||
\(410\) | 36.1813 | − | 47.5962i | 1.78687 | − | 2.35061i | ||||
\(411\) | −8.42892 | + | 11.6014i | −0.415768 | + | 0.572255i | ||||
\(412\) | 10.7115 | + | 1.69654i | 0.527719 | + | 0.0835826i | ||||
\(413\) | −5.32251 | − | 36.2307i | −0.261904 | − | 1.78279i | ||||
\(414\) | −9.78890 | + | 13.4733i | −0.481098 | + | 0.662175i | ||||
\(415\) | −7.79281 | + | 5.40786i | −0.382534 | + | 0.265461i | ||||
\(416\) | 62.1411 | + | 85.5299i | 3.04672 | + | 4.19345i | ||||
\(417\) | −3.95238 | − | 7.75698i | −0.193549 | − | 0.379861i | ||||
\(418\) | 23.9130 | − | 23.9130i | 1.16962 | − | 1.16962i | ||||
\(419\) | 2.17623 | − | 6.69775i | 0.106316 | − | 0.327206i | −0.883721 | − | 0.468014i | \(-0.844970\pi\) |
0.990037 | + | 0.140807i | \(0.0449698\pi\) | |||||||
\(420\) | −27.2059 | − | 15.0084i | −1.32751 | − | 0.732334i | ||||
\(421\) | −8.14727 | − | 25.0747i | −0.397074 | − | 1.22207i | −0.927335 | − | 0.374233i | \(-0.877906\pi\) |
0.530261 | − | 0.847834i | \(-0.322094\pi\) | |||||||
\(422\) | −46.6853 | − | 23.7874i | −2.27261 | − | 1.15795i | ||||
\(423\) | 0.201341 | − | 0.0318893i | 0.00978955 | − | 0.00155051i | ||||
\(424\) | 56.7527i | 2.75615i | ||||||||
\(425\) | 2.62923 | − | 2.41075i | 0.127536 | − | 0.116939i | ||||
\(426\) | − | 12.6879i | − | 0.614730i | ||||||
\(427\) | −13.9474 | − | 28.1494i | −0.674960 | − | 1.36224i | ||||
\(428\) | 4.40086 | − | 8.63717i | 0.212724 | − | 0.417494i | ||||
\(429\) | 20.2436 | − | 6.57756i | 0.977372 | − | 0.317568i | ||||
\(430\) | 0.580330 | − | 1.08045i | 0.0279860 | − | 0.0521039i | ||||
\(431\) | −6.51175 | + | 20.0411i | −0.313660 | + | 0.965347i | 0.662642 | + | 0.748936i | \(0.269435\pi\) |
−0.976302 | + | 0.216411i | \(0.930565\pi\) | |||||||
\(432\) | 9.24843 | + | 9.24843i | 0.444965 | + | 0.444965i | ||||
\(433\) | 13.1016 | + | 25.7134i | 0.629624 | + | 1.23571i | 0.956801 | + | 0.290744i | \(0.0939028\pi\) |
−0.327177 | + | 0.944963i | \(0.606097\pi\) | |||||||
\(434\) | 2.72824 | − | 3.66787i | 0.130960 | − | 0.176064i | ||||
\(435\) | −0.0459660 | + | 2.12173i | −0.00220390 | + | 0.101729i | ||||
\(436\) | −21.1889 | − | 15.3947i | −1.01477 | − | 0.737270i | ||||
\(437\) | 21.5160 | + | 3.40780i | 1.02925 | + | 0.163017i | ||||
\(438\) | 26.4781 | + | 4.19371i | 1.26517 | + | 0.200383i | ||||
\(439\) | 19.6352 | + | 14.2658i | 0.937137 | + | 0.680870i | 0.947730 | − | 0.319074i | \(-0.103372\pi\) |
−0.0105930 | + | 0.999944i | \(0.503372\pi\) | |||||||
\(440\) | −1.51207 | + | 69.7950i | −0.0720850 | + | 3.32735i | ||||
\(441\) | 2.31191 | − | 6.60720i | 0.110091 | − | 0.314629i | ||||
\(442\) | −5.20765 | − | 10.2206i | −0.247703 | − | 0.486144i | ||||
\(443\) | −5.01179 | − | 5.01179i | −0.238117 | − | 0.238117i | 0.577953 | − | 0.816070i | \(-0.303852\pi\) |
−0.816070 | + | 0.577953i | \(0.803852\pi\) | |||||||
\(444\) | −12.1558 | + | 37.4117i | −0.576889 | + | 1.77548i | ||||
\(445\) | 8.20778 | − | 15.2811i | 0.389086 | − | 0.724395i | ||||
\(446\) | −26.9959 | + | 8.77151i | −1.27829 | + | 0.415343i | ||||
\(447\) | −2.36911 | + | 4.64963i | −0.112055 | + | 0.219920i | ||||
\(448\) | −25.2844 | − | 51.0306i | −1.19458 | − | 2.41097i | ||||
\(449\) | 34.1734i | 1.61274i | 0.591410 | + | 0.806371i | \(0.298572\pi\) | ||||
−0.591410 | + | 0.806371i | \(0.701428\pi\) | |||||||
\(450\) | 11.7212 | + | 6.62671i | 0.552542 | + | 0.312386i | ||||
\(451\) | − | 35.3965i | − | 1.66676i | ||||||
\(452\) | 76.0393 | − | 12.0434i | 3.57659 | − | 0.566476i | ||||
\(453\) | −4.66659 | − | 2.37774i | −0.219255 | − | 0.111716i | ||||
\(454\) | −10.6874 | − | 32.8924i | −0.501585 | − | 1.54372i | ||||
\(455\) | −17.0619 | + | 30.9283i | −0.799875 | + | 1.44994i | ||||
\(456\) | 9.53260 | − | 29.3383i | 0.446405 | − | 1.37389i | ||||
\(457\) | 14.7824 | − | 14.7824i | 0.691491 | − | 0.691491i | −0.271069 | − | 0.962560i | \(-0.587377\pi\) |
0.962560 | + | 0.271069i | \(0.0873772\pi\) | |||||||
\(458\) | −15.7910 | − | 30.9916i | −0.737866 | − | 1.44814i | ||||
\(459\) | −0.419343 | − | 0.577177i | −0.0195733 | − | 0.0269403i | ||||
\(460\) | −59.6668 | + | 41.4061i | −2.78198 | + | 1.93057i | ||||
\(461\) | −3.31995 | + | 4.56952i | −0.154625 | + | 0.212824i | −0.879301 | − | 0.476267i | \(-0.841990\pi\) |
0.724675 | + | 0.689090i | \(0.241990\pi\) | |||||||
\(462\) | −25.1308 | + | 3.69188i | −1.16919 | + | 0.171762i | ||||
\(463\) | −25.1994 | − | 3.99119i | −1.17112 | − | 0.185486i | −0.459580 | − | 0.888137i | \(-0.652000\pi\) |
−0.711535 | + | 0.702650i | \(0.752000\pi\) | |||||||
\(464\) | −7.29639 | + | 10.0426i | −0.338726 | + | 0.466217i | ||||
\(465\) | −0.868207 | + | 1.14212i | −0.0402621 | + | 0.0529645i | ||||
\(466\) | −5.14240 | + | 3.73618i | −0.238217 | + | 0.173075i | ||||
\(467\) | 17.1018 | − | 8.71383i | 0.791379 | − | 0.403228i | −0.0110772 | − | 0.999939i | \(-0.503526\pi\) |
0.802456 | + | 0.596711i | \(0.203526\pi\) | |||||||
\(468\) | 22.1729 | − | 22.1729i | 1.02494 | − | 1.02494i | ||||
\(469\) | 35.3139 | + | 0.396119i | 1.63064 | + | 0.0182911i | ||||
\(470\) | 1.20796 | + | 0.218240i | 0.0557189 | + | 0.0100667i | ||||
\(471\) | −3.15259 | − | 9.70267i | −0.145264 | − | 0.447076i | ||||
\(472\) | −55.0282 | + | 107.999i | −2.53288 | + | 4.97105i | ||||
\(473\) | −0.113588 | − | 0.717166i | −0.00522278 | − | 0.0329753i | ||||
\(474\) | −20.8276 | −0.956642 | ||||||||
\(475\) | 0.762777 | − | 17.5961i | 0.0349986 | − | 0.807365i | ||||
\(476\) | 2.95747 | + | 9.46197i | 0.135555 | + | 0.433689i | ||||
\(477\) | 6.40076 | − | 1.01378i | 0.293071 | − | 0.0464178i | ||||
\(478\) | −36.5043 | + | 71.6437i | −1.66967 | + | 3.27691i | ||||
\(479\) | 0.792531 | + | 2.43916i | 0.0362117 | + | 0.111448i | 0.967528 | − | 0.252762i | \(-0.0813390\pi\) |
−0.931317 | + | 0.364210i | \(0.881339\pi\) | |||||||
\(480\) | 17.2070 | + | 35.6596i | 0.785388 | + | 1.62763i | ||||
\(481\) | 42.5306 | + | 13.8190i | 1.93923 | + | 0.630093i | ||||
\(482\) | −46.6333 | − | 46.6333i | −2.12409 | − | 2.12409i | ||||
\(483\) | −11.4392 | − | 11.6987i | −0.520501 | − | 0.532310i | ||||
\(484\) | 5.27768 | + | 7.26410i | 0.239894 | + | 0.330186i | ||||
\(485\) | −4.09981 | − | 1.43100i | −0.186163 | − | 0.0649785i | ||||
\(486\) | 1.58288 | − | 2.17864i | 0.0718007 | − | 0.0988252i | ||||
\(487\) | 1.24881 | − | 7.88465i | 0.0565888 | − | 0.357288i | −0.943104 | − | 0.332498i | \(-0.892108\pi\) |
0.999693 | − | 0.0247895i | \(-0.00789155\pi\) | |||||||
\(488\) | −16.2667 | + | 102.704i | −0.736357 | + | 4.64917i | ||||
\(489\) | −6.26173 | − | 4.54941i | −0.283165 | − | 0.205731i | ||||
\(490\) | 26.2550 | − | 32.9759i | 1.18608 | − | 1.48970i | ||||
\(491\) | 17.5786 | − | 12.7716i | 0.793311 | − | 0.576374i | −0.115633 | − | 0.993292i | \(-0.536890\pi\) |
0.908944 | + | 0.416918i | \(0.136890\pi\) | |||||||
\(492\) | −23.6735 | − | 46.4619i | −1.06729 | − | 2.09466i | ||||
\(493\) | 0.478787 | − | 0.478787i | 0.0215635 | − | 0.0215635i | ||||
\(494\) | −53.8647 | − | 17.5017i | −2.42349 | − | 0.787439i | ||||
\(495\) | 7.89873 | − | 1.07622i | 0.355021 | − | 0.0483725i | ||||
\(496\) | −7.98087 | + | 2.59314i | −0.358352 | + | 0.116435i | ||||
\(497\) | 12.2894 | + | 2.08801i | 0.551254 | + | 0.0936600i | ||||
\(498\) | 1.78703 | + | 11.2828i | 0.0800786 | + | 0.505596i | ||||
\(499\) | − | 41.9491i | − | 1.87790i | −0.344056 | − | 0.938949i | \(-0.611801\pi\) | ||
0.344056 | − | 0.938949i | \(-0.388199\pi\) | |||||||
\(500\) | 38.7366 | + | 44.1291i | 1.73235 | + | 1.97351i | ||||
\(501\) | −25.1336 | −1.12289 | ||||||||
\(502\) | 11.1256 | + | 70.2444i | 0.496561 | + | 3.13516i | ||||
\(503\) | −25.5556 | − | 13.0212i | −1.13947 | − | 0.580588i | −0.220683 | − | 0.975346i | \(-0.570828\pi\) |
−0.918785 | + | 0.394758i | \(0.870828\pi\) | |||||||
\(504\) | −18.8964 | + | 13.4078i | −0.841712 | + | 0.597231i | ||||
\(505\) | 14.2288 | − | 1.93872i | 0.633175 | − | 0.0862717i | ||||
\(506\) | −18.3470 | + | 56.4661i | −0.815622 | + | 2.51023i | ||||
\(507\) | −16.0144 | − | 16.0144i | −0.711223 | − | 0.711223i | ||||
\(508\) | 7.10259 | − | 3.61895i | 0.315126 | − | 0.160565i | ||||
\(509\) | −14.1432 | + | 10.2757i | −0.626888 | + | 0.455461i | −0.855321 | − | 0.518099i | \(-0.826640\pi\) |
0.228433 | + | 0.973560i | \(0.426640\pi\) | |||||||
\(510\) | −1.23873 | − | 4.11353i | −0.0548519 | − | 0.182150i | ||||
\(511\) | −8.41943 | + | 24.9563i | −0.372453 | + | 1.10400i | ||||
\(512\) | −0.393255 | + | 2.48292i | −0.0173796 | + | 0.109730i | ||||
\(513\) | −3.47916 | − | 0.551044i | −0.153609 | − | 0.0243292i | ||||
\(514\) | −42.5107 | − | 30.8858i | −1.87506 | − | 1.36231i | ||||
\(515\) | 1.52162 | − | 4.35944i | 0.0670508 | − | 0.192100i | ||||
\(516\) | −0.628744 | − | 0.865392i | −0.0276789 | − | 0.0380968i | ||||
\(517\) | 0.647530 | − | 0.329933i | 0.0284784 | − | 0.0145104i | ||||
\(518\) | −47.2738 | − | 24.7590i | −2.07709 | − | 1.08785i | ||||
\(519\) | 5.64141 | + | 1.83301i | 0.247631 | + | 0.0804600i | ||||
\(520\) | 105.299 | − | 50.8102i | 4.61765 | − | 2.22817i | ||||
\(521\) | 12.1915 | − | 3.96127i | 0.534121 | − | 0.173547i | −0.0295231 | − | 0.999564i | \(-0.509399\pi\) |
0.563644 | + | 0.826018i | \(0.309399\pi\) | |||||||
\(522\) | 2.27727 | + | 1.16033i | 0.0996736 | + | 0.0507862i | ||||
\(523\) | −7.09684 | + | 1.12403i | −0.310323 | + | 0.0491504i | −0.309654 | − | 0.950849i | \(-0.600213\pi\) |
−0.000669472 | 1.00000i | \(0.500213\pi\) | ||||||||
\(524\) | −14.3243 | −0.625758 | ||||||||
\(525\) | −8.34751 | + | 10.2625i | −0.364315 | + | 0.447893i | ||||
\(526\) | −18.2292 | −0.794831 | ||||||||
\(527\) | 0.452097 | − | 0.0716052i | 0.0196937 | − | 0.00311917i | ||||
\(528\) | 41.5461 | + | 21.1688i | 1.80806 | + | 0.921254i | ||||
\(529\) | −14.4989 | + | 4.71097i | −0.630385 | + | 0.204825i | ||||
\(530\) | 38.4017 | + | 6.93798i | 1.66806 | + | 0.301367i | ||||
\(531\) | 13.1635 | + | 4.27707i | 0.571245 | + | 0.185609i | ||||
\(532\) | 43.3601 | + | 22.7092i | 1.87990 | + | 0.984569i | ||||
\(533\) | −52.8191 | + | 26.9127i | −2.28785 | + | 1.16572i | ||||
\(534\) | −12.2789 | − | 16.9004i | −0.531359 | − | 0.731353i | ||||
\(535\) | −3.28563 | − | 2.49765i | −0.142050 | − | 0.107983i | ||||
\(536\) | −94.5707 | − | 68.7096i | −4.08483 | − | 2.96780i | ||||
\(537\) | −14.0374 | − | 2.22331i | −0.605760 | − | 0.0959429i | ||||
\(538\) | 7.69377 | − | 48.5766i | 0.331702 | − | 2.09428i | ||||
\(539\) | 0.559783 | − | 24.9491i | 0.0241116 | − | 1.07463i | ||||
\(540\) | 9.64819 | − | 6.69541i | 0.415192 | − | 0.288125i | ||||
\(541\) | 20.4506 | − | 14.8582i | 0.879240 | − | 0.638805i | −0.0538104 | − | 0.998551i | \(-0.517137\pi\) |
0.933050 | + | 0.359746i | \(0.117137\pi\) | |||||||
\(542\) | 34.2312 | − | 17.4417i | 1.47035 | − | 0.749183i | ||||
\(543\) | 3.10469 | + | 3.10469i | 0.133235 | + | 0.133235i | ||||
\(544\) | 3.90372 | − | 12.0144i | 0.167370 | − | 0.515113i | ||||
\(545\) | −8.05388 | + | 7.71232i | −0.344991 | + | 0.330359i | ||||
\(546\) | 24.6165 | + | 34.6935i | 1.05349 | + | 1.48475i | ||||
\(547\) | −25.3213 | − | 12.9018i | −1.08266 | − | 0.551643i | −0.180734 | − | 0.983532i | \(-0.557847\pi\) |
−0.901927 | + | 0.431889i | \(0.857847\pi\) | |||||||
\(548\) | 11.7817 | + | 74.3867i | 0.503289 | + | 3.17764i | ||||
\(549\) | 11.8738 | 0.506763 | ||||||||
\(550\) | 47.0419 | + | 9.55554i | 2.00587 | + | 0.407449i | ||||
\(551\) | − | 3.34319i | − | 0.142425i | ||||||
\(552\) | 8.47217 | + | 53.4912i | 0.360599 | + | 2.27673i | ||||
\(553\) | 3.42754 | − | 20.1734i | 0.145754 | − | 0.857862i | ||||
\(554\) | −2.82503 | + | 0.917907i | −0.120024 | + | 0.0389981i | ||||
\(555\) | 14.7544 | + | 7.92488i | 0.626290 | + | 0.336392i | ||||
\(556\) | −43.4851 | − | 14.1292i | −1.84418 | − | 0.599210i | ||||
\(557\) | 0.426676 | − | 0.426676i | 0.0180789 | − | 0.0180789i | −0.698010 | − | 0.716088i | \(-0.745931\pi\) |
0.716088 | + | 0.698010i | \(0.245931\pi\) | |||||||
\(558\) | 0.784396 | + | 1.53946i | 0.0332061 | + | 0.0651707i | ||||
\(559\) | −0.983800 | + | 0.714772i | −0.0416103 | + | 0.0302316i | ||||
\(560\) | −74.3370 | + | 21.4791i | −3.14131 | + | 0.907658i | ||||
\(561\) | −2.05767 | − | 1.49498i | −0.0868748 | − | 0.0631182i | ||||
\(562\) | 7.26426 | − | 45.8648i | 0.306424 | − | 1.93469i | ||||
\(563\) | −0.559530 | + | 3.53273i | −0.0235814 | + | 0.148887i | −0.996670 | − | 0.0815461i | \(-0.974014\pi\) |
0.973088 | + | 0.230433i | \(0.0740142\pi\) | |||||||
\(564\) | 0.629294 | − | 0.866149i | 0.0264981 | − | 0.0364715i | ||||
\(565\) | 0.709947 | − | 32.7702i | 0.0298677 | − | 1.37865i | ||||
\(566\) | −25.6427 | − | 35.2941i | −1.07784 | − | 1.48352i | ||||
\(567\) | 1.84973 | + | 1.89169i | 0.0776812 | + | 0.0794437i | ||||
\(568\) | −29.1756 | − | 29.1756i | −1.22418 | − | 1.22418i | ||||
\(569\) | −5.15405 | − | 1.67465i | −0.216069 | − | 0.0702050i | 0.198982 | − | 0.980003i | \(-0.436236\pi\) |
−0.415051 | + | 0.909798i | \(0.636236\pi\) | |||||||
\(570\) | −18.6864 | − | 10.0368i | −0.782687 | − | 0.420396i | ||||
\(571\) | 7.39468 | + | 22.7585i | 0.309458 | + | 0.952413i | 0.977976 | + | 0.208717i | \(0.0669289\pi\) |
−0.668518 | + | 0.743696i | \(0.733071\pi\) | |||||||
\(572\) | 50.7518 | − | 99.6060i | 2.12204 | − | 4.16474i | ||||
\(573\) | 6.89069 | − | 1.09138i | 0.287863 | − | 0.0455930i | ||||
\(574\) | 67.5196 | − | 21.1042i | 2.81821 | − | 0.880871i | ||||
\(575\) | 12.8316 | + | 28.1332i | 0.535115 | + | 1.17323i | ||||
\(576\) | 21.5255 | 0.896895 | ||||||||
\(577\) | 1.87490 | + | 11.8377i | 0.0780532 | + | 0.492808i | 0.995485 | + | 0.0949160i | \(0.0302583\pi\) |
−0.917432 | + | 0.397892i | \(0.869742\pi\) | |||||||
\(578\) | 20.1615 | − | 39.5691i | 0.838607 | − | 1.64586i | ||||
\(579\) | −0.816604 | − | 2.51325i | −0.0339369 | − | 0.104447i | ||||
\(580\) | 7.70876 | + | 8.05017i | 0.320089 | + | 0.334265i | ||||
\(581\) | −11.2226 | − | 0.125885i | −0.465591 | − | 0.00522257i | ||||
\(582\) | −3.69790 | + | 3.69790i | −0.153283 | + | 0.153283i | ||||
\(583\) | 20.5854 | − | 10.4888i | 0.852560 | − | 0.434401i | ||||
\(584\) | 70.5295 | − | 51.2427i | 2.91853 | − | 2.12044i | ||||
\(585\) | −7.61151 | − | 10.9683i | −0.314697 | − | 0.453483i | ||||
\(586\) | 8.85481 | − | 12.1876i | 0.365789 | − | 0.503465i | ||||
\(587\) | 15.7984 | + | 2.50222i | 0.652070 | + | 0.103278i | 0.473701 | − | 0.880686i | \(-0.342918\pi\) |
0.178369 | + | 0.983964i | \(0.442918\pi\) | |||||||
\(588\) | −15.9514 | − | 33.1229i | −0.657826 | − | 1.36597i | ||||
\(589\) | 1.32841 | − | 1.82841i | 0.0547364 | − | 0.0753382i | ||||
\(590\) | 66.3502 | + | 50.4376i | 2.73159 | + | 2.07648i | ||||
\(591\) | 0.384726 | + | 0.529530i | 0.0158255 | + | 0.0217820i | ||||
\(592\) | 44.4742 | + | 87.2856i | 1.82788 | + | 3.58742i | ||||
\(593\) | 12.7756 | − | 12.7756i | 0.524630 | − | 0.524630i | −0.394336 | − | 0.918966i | \(-0.629025\pi\) |
0.918966 | + | 0.394336i | \(0.129025\pi\) | |||||||
\(594\) | 2.96672 | − | 9.13063i | 0.121726 | − | 0.374634i | ||||
\(595\) | 4.18819 | − | 0.522873i | 0.171699 | − | 0.0214357i | ||||
\(596\) | 8.46920 | + | 26.0655i | 0.346912 | + | 1.06769i | ||||
\(597\) | 17.6367 | + | 8.98635i | 0.721823 | + | 0.367787i | ||||
\(598\) | 98.2090 | − | 15.5548i | 4.01606 | − | 0.636082i | ||||
\(599\) | − | 14.0010i | − | 0.572065i | −0.958220 | − | 0.286033i | \(-0.907663\pi\) | ||
0.958220 | − | 0.286033i | \(-0.0923365\pi\) | |||||||
\(600\) | 42.1908 | − | 11.7147i | 1.72243 | − | 0.478250i | ||||
\(601\) | − | 11.2796i | − | 0.460104i | −0.973178 | − | 0.230052i | \(-0.926110\pi\) | ||
0.973178 | − | 0.230052i | \(-0.0738896\pi\) | |||||||
\(602\) | 1.30029 | − | 0.644261i | 0.0529957 | − | 0.0262581i | ||||
\(603\) | −6.05998 | + | 11.8934i | −0.246781 | + | 0.484336i | ||||
\(604\) | −26.1606 | + | 8.50008i | −1.06446 | + | 0.345863i | ||||
\(605\) | 3.44297 | − | 1.66135i | 0.139977 | − | 0.0675436i | ||||
\(606\) | 5.34428 | − | 16.4480i | 0.217097 | − | 0.668155i | ||||
\(607\) | −23.1458 | − | 23.1458i | −0.939460 | − | 0.939460i | 0.0588092 | − | 0.998269i | \(-0.481270\pi\) |
−0.998269 | + | 0.0588092i | \(0.981270\pi\) | |||||||
\(608\) | −28.3169 | − | 55.5750i | −1.14840 | − | 2.25386i | ||||
\(609\) | −1.49865 | + | 2.01480i | −0.0607284 | + | 0.0816438i | ||||
\(610\) | 67.5057 | + | 23.5623i | 2.73323 | + | 0.954009i | ||||
\(611\) | −0.984660 | − | 0.715398i | −0.0398351 | − | 0.0289419i | ||||
\(612\) | −3.70078 | − | 0.586146i | −0.149595 | − | 0.0236936i | ||||
\(613\) | 34.9114 | + | 5.52943i | 1.41006 | + | 0.223331i | 0.814586 | − | 0.580043i | \(-0.196964\pi\) |
0.595474 | + | 0.803375i | \(0.296964\pi\) | |||||||
\(614\) | −8.65351 | − | 6.28714i | −0.349227 | − | 0.253728i | ||||
\(615\) | −21.2584 | + | 6.40165i | −0.857220 | + | 0.258139i | ||||
\(616\) | −49.2987 | + | 66.2776i | −1.98630 | + | 2.67040i | ||||
\(617\) | 13.4707 | + | 26.4378i | 0.542311 | + | 1.06435i | 0.985778 | + | 0.168055i | \(0.0537486\pi\) |
−0.443466 | + | 0.896291i | \(0.646251\pi\) | |||||||
\(618\) | −3.93208 | − | 3.93208i | −0.158172 | − | 0.158172i | ||||
\(619\) | −12.8648 | + | 39.5936i | −0.517078 | + | 1.59140i | 0.262391 | + | 0.964962i | \(0.415489\pi\) |
−0.779469 | + | 0.626441i | \(0.784511\pi\) | |||||||
\(620\) | 1.01723 | + | 7.46576i | 0.0408529 | + | 0.299832i | ||||
\(621\) | 5.88158 | − | 1.91104i | 0.236020 | − | 0.0766874i | ||||
\(622\) | 27.5213 | − | 54.0136i | 1.10350 | − | 2.16575i | ||||
\(623\) | 18.3903 | − | 9.11198i | 0.736793 | − | 0.365064i | ||||
\(624\) | − | 78.0906i | − | 3.12613i | ||||||
\(625\) | 21.4212 | − | 12.8893i | 0.856847 | − | 0.515571i | ||||
\(626\) | − | 9.94585i | − | 0.397516i | ||||||
\(627\) | −12.4034 | + | 1.96450i | −0.495344 | + | 0.0784548i | ||||
\(628\) | −47.7406 | − | 24.3251i | −1.90506 | − | 0.970676i | ||||
\(629\) | −1.65125 | − | 5.08202i | −0.0658396 | − | 0.202633i | ||||
\(630\) | 6.76231 | + | 14.4253i | 0.269417 | + | 0.574719i | ||||
\(631\) | 10.7596 | − | 33.1145i | 0.428331 | − | 1.31827i | −0.471437 | − | 0.881900i | \(-0.656264\pi\) |
0.899768 | − | 0.436369i | \(-0.143736\pi\) | |||||||
\(632\) | −47.8928 | + | 47.8928i | −1.90507 | + | 1.90507i | ||||
\(633\) | 8.83321 | + | 17.3361i | 0.351088 | + | 0.689050i | ||||
\(634\) | −23.2273 | − | 31.9696i | −0.922473 | − | 1.26968i | ||||
\(635\) | −0.978614 | − | 3.24975i | −0.0388351 | − | 0.128962i | ||||
\(636\) | 20.0056 | − | 27.5354i | 0.793276 | − | 1.09185i | ||||
\(637\) | −37.6550 | + | 18.1340i | −1.49194 | + | 0.718495i | ||||
\(638\) | 8.99955 | + | 1.42539i | 0.356296 | + | 0.0564317i | ||||
\(639\) | −2.76936 | + | 3.81170i | −0.109554 | + | 0.150788i | ||||
\(640\) | 47.6131 | + | 16.6189i | 1.88207 | + | 0.656921i | ||||
\(641\) | −19.4274 | + | 14.1148i | −0.767336 | + | 0.557502i | −0.901152 | − | 0.433504i | \(-0.857277\pi\) |
0.133816 | + | 0.991006i | \(0.457277\pi\) | |||||||
\(642\) | −4.42871 | + | 2.25654i | −0.174787 | + | 0.0890586i | ||||
\(643\) | −5.87150 | + | 5.87150i | −0.231549 | + | 0.231549i | −0.813339 | − | 0.581790i | \(-0.802353\pi\) |
0.581790 | + | 0.813339i | \(0.302353\pi\) | |||||||
\(644\) | −85.9273 | − | 0.963855i | −3.38601 | − | 0.0379812i | ||||
\(645\) | −0.410171 | + | 0.197922i | −0.0161505 | + | 0.00779316i | ||||
\(646\) | 2.09130 | + | 6.43635i | 0.0822810 | + | 0.253235i | ||||
\(647\) | −20.1228 | + | 39.4932i | −0.791108 | + | 1.55264i | 0.0417367 | + | 0.999129i | \(0.486711\pi\) |
−0.832844 | + | 0.553507i | \(0.813289\pi\) | |||||||
\(648\) | −1.36996 | − | 8.64957i | −0.0538170 | − | 0.339787i | ||||
\(649\) | 49.3435 | 1.93690 | ||||||||
\(650\) | −21.5080 | − | 77.4617i | −0.843613 | − | 3.03830i | ||||
\(651\) | −1.62020 | + | 0.506415i | −0.0635007 | + | 0.0198480i | ||||
\(652\) | −40.1494 | + | 6.35903i | −1.57237 | + | 0.249039i | ||||
\(653\) | 7.20835 | − | 14.1472i | 0.282084 | − | 0.553622i | −0.705875 | − | 0.708337i | \(-0.749446\pi\) |
0.987959 | + | 0.154715i | \(0.0494459\pi\) | |||||||
\(654\) | 4.14992 | + | 12.7721i | 0.162275 | + | 0.499430i | ||||
\(655\) | −1.08428 | + | 6.00150i | −0.0423665 | + | 0.234498i | ||||
\(656\) | −123.505 | − | 40.1291i | −4.82205 | − | 1.56678i | ||||
\(657\) | −7.03920 | − | 7.03920i | −0.274625 | − | 0.274625i | ||||
\(658\) | 1.01543 | + | 1.03847i | 0.0395854 | + | 0.0404836i | ||||
\(659\) | −16.8289 | − | 23.1631i | −0.655563 | − | 0.902304i | 0.343762 | − | 0.939057i | \(-0.388299\pi\) |
−0.999324 | + | 0.0367525i | \(0.988299\pi\) | |||||||
\(660\) | 25.3368 | − | 33.3303i | 0.986232 | − | 1.29738i | ||||
\(661\) | −15.1960 | + | 20.9155i | −0.591055 | + | 0.813517i | −0.994853 | − | 0.101331i | \(-0.967690\pi\) |
0.403798 | + | 0.914848i | \(0.367690\pi\) | |||||||
\(662\) | 1.16118 | − | 7.33142i | 0.0451307 | − | 0.284944i | ||||
\(663\) | −0.666346 | + | 4.20714i | −0.0258787 | + | 0.163392i | ||||
\(664\) | 30.0541 | + | 21.8355i | 1.16632 | + | 0.847384i | ||||
\(665\) | 12.7968 | − | 16.4478i | 0.496237 | − | 0.637818i | ||||
\(666\) | 16.3179 | − | 11.8557i | 0.632306 | − | 0.459397i | ||||
\(667\) | 2.66465 | + | 5.22967i | 0.103176 | + | 0.202494i | ||||
\(668\) | −93.3388 | + | 93.3388i | −3.61139 | + | 3.61139i | ||||
\(669\) | 10.0247 | + | 3.25721i | 0.387576 | + | 0.125931i | ||||
\(670\) | −58.0535 | + | 55.5915i | −2.24280 | + | 2.14769i | ||||
\(671\) | 40.2591 | − | 13.0810i | 1.55418 | − | 0.504985i | ||||
\(672\) | −7.84722 | + | 46.1864i | −0.302713 | + | 1.78168i | ||||
\(673\) | 2.37710 | + | 15.0084i | 0.0916306 | + | 0.578533i | 0.990195 | + | 0.139691i | \(0.0446111\pi\) |
−0.898564 | + | 0.438842i | \(0.855389\pi\) | |||||||
\(674\) | 10.4509i | 0.402555i | ||||||||
\(675\) | −2.07488 | − | 4.54916i | −0.0798622 | − | 0.175097i | ||||
\(676\) | −118.945 | −4.57482 | ||||||||
\(677\) | 4.77205 | + | 30.1295i | 0.183405 | + | 1.15797i | 0.891892 | + | 0.452248i | \(0.149378\pi\) |
−0.708487 | + | 0.705723i | \(0.750622\pi\) | |||||||
\(678\) | −35.1726 | − | 17.9213i | −1.35080 | − | 0.688265i | ||||
\(679\) | −2.97321 | − | 4.19031i | −0.114101 | − | 0.160809i | ||||
\(680\) | −12.3075 | − | 6.61058i | −0.471970 | − | 0.253504i | ||||
\(681\) | −3.96866 | + | 12.2143i | −0.152079 | + | 0.468053i | ||||
\(682\) | 4.35552 | + | 4.35552i | 0.166782 | + | 0.166782i | ||||
\(683\) | 32.4045 | − | 16.5109i | 1.23992 | − | 0.631773i | 0.293890 | − | 0.955839i | \(-0.405050\pi\) |
0.946035 | + | 0.324066i | \(0.105050\pi\) | |||||||
\(684\) | −14.9670 | + | 10.8741i | −0.572277 | + | 0.415783i | ||||
\(685\) | 32.0580 | + | 0.694518i | 1.22487 | + | 0.0265362i | ||||
\(686\) | 47.9247 | − | 13.8074i | 1.82978 | − | 0.527169i | ||||
\(687\) | −2.02054 | + | 12.7572i | −0.0770885 | + | 0.486718i | ||||
\(688\) | −2.63109 | − | 0.416724i | −0.100309 | − | 0.0158875i | ||||
\(689\) | −31.3029 | − | 22.7429i | −1.19255 | − | 0.866436i | ||||
\(690\) | 37.2305 | + | 0.806577i | 1.41734 | + | 0.0307058i | ||||
\(691\) | −19.5829 | − | 26.9536i | −0.744969 | − | 1.02536i | −0.998317 | − | 0.0579870i | \(-0.981532\pi\) |
0.253348 | − | 0.967375i | \(-0.418468\pi\) | |||||||
\(692\) | 27.7578 | − | 14.1433i | 1.05519 | − | 0.537647i | ||||
\(693\) | 8.35564 | + | 4.37615i | 0.317405 | + | 0.166236i | ||||
\(694\) | 16.9230 | + | 5.49863i | 0.642389 | + | 0.208725i | ||||
\(695\) | −9.21140 | + | 17.1497i | −0.349408 | + | 0.650523i | ||||
\(696\) | 7.90473 | − | 2.56840i | 0.299628 | − | 0.0973551i | ||||
\(697\) | 6.31140 | + | 3.21582i | 0.239061 | + | 0.121808i | ||||
\(698\) | 68.1018 | − | 10.7863i | 2.57769 | − | 0.408266i | ||||
\(699\) | 2.36037 | 0.0892775 | ||||||||
\(700\) | 7.11176 | + | 69.1121i | 0.268799 | + | 2.61219i | ||||
\(701\) | 1.54162 | 0.0582261 | 0.0291130 | − | 0.999576i | \(-0.490732\pi\) | ||||
0.0291130 | + | 0.999576i | \(0.490732\pi\) | |||||||
\(702\) | −15.8805 | + | 2.51522i | −0.599370 | + | 0.0949310i | ||||
\(703\) | −23.5079 | − | 11.9779i | −0.886617 | − | 0.451754i | ||||
\(704\) | 72.9836 | − | 23.7138i | 2.75067 | − | 0.893748i | ||||
\(705\) | −0.315260 | − | 0.329222i | −0.0118734 | − | 0.0123992i | ||||
\(706\) | −49.0564 | − | 15.9394i | −1.84626 | − | 0.599887i | ||||
\(707\) | 15.0519 | + | 7.88324i | 0.566086 | + | 0.296480i | ||||
\(708\) | 64.7689 | − | 33.0014i | 2.43417 | − | 1.24027i | ||||
\(709\) | −2.25577 | − | 3.10480i | −0.0847171 | − | 0.116603i | 0.764555 | − | 0.644559i | \(-0.222959\pi\) |
−0.849272 | + | 0.527955i | \(0.822959\pi\) | |||||||
\(710\) | −23.3084 | + | 16.1750i | −0.874748 | + | 0.607036i | ||||
\(711\) | 6.25703 | + | 4.54600i | 0.234657 | + | 0.170488i | ||||
\(712\) | −67.0975 | − | 10.6272i | −2.51459 | − | 0.398271i | ||||
\(713\) | −0.620698 | + | 3.91894i | −0.0232453 | + | 0.146765i | ||||
\(714\) | 1.62489 | − | 4.81639i | 0.0608099 | − | 0.180249i | ||||
\(715\) | −37.8907 | − | 28.8035i | −1.41703 | − | 1.07719i | ||||
\(716\) | −60.3876 | + | 43.8741i | −2.25679 | + | 1.63965i | ||||
\(717\) | 26.6042 | − | 13.5555i | 0.993551 | − | 0.506240i | ||||
\(718\) | 12.2122 | + | 12.2122i | 0.455755 | + | 0.455755i | ||||
\(719\) | 4.17793 | − | 12.8583i | 0.155810 | − | 0.479535i | −0.842432 | − | 0.538803i | \(-0.818877\pi\) |
0.998242 | + | 0.0592679i | \(0.0188766\pi\) | |||||||
\(720\) | 5.19968 | − | 28.7802i | 0.193781 | − | 1.07257i | ||||
\(721\) | 4.45568 | − | 3.16150i | 0.165938 | − | 0.117740i | ||||
\(722\) | −15.8166 | − | 8.05897i | −0.588634 | − | 0.299924i | ||||
\(723\) | 3.83103 | + | 24.1882i | 0.142477 | + | 0.899567i | ||||
\(724\) | 23.0598 | 0.857010 | ||||||||
\(725\) | 3.95634 | − | 2.62041i | 0.146935 | − | 0.0973197i | ||||
\(726\) | − | 4.60394i | − | 0.170868i | ||||||
\(727\) | −2.22973 | − | 14.0780i | −0.0826962 | − | 0.522123i | −0.993910 | − | 0.110191i | \(-0.964854\pi\) |
0.911214 | − | 0.411933i | \(-0.135146\pi\) | |||||||
\(728\) | 136.383 | + | 23.1719i | 5.05469 | + | 0.858808i | ||||
\(729\) | −0.951057 | + | 0.309017i | −0.0352243 | + | 0.0114451i | ||||
\(730\) | −26.0511 | − | 53.9881i | −0.964196 | − | 1.99819i | ||||
\(731\) | 0.138194 | + | 0.0449021i | 0.00511131 | + | 0.00166076i | ||||
\(732\) | 44.0959 | − | 44.0959i | 1.62983 | − | 1.62983i | ||||
\(733\) | −6.17520 | − | 12.1195i | −0.228086 | − | 0.447644i | 0.748393 | − | 0.663255i | \(-0.230826\pi\) |
−0.976479 | + | 0.215611i | \(0.930826\pi\) | |||||||
\(734\) | −69.3251 | + | 50.3676i | −2.55884 | + | 1.85910i | ||||
\(735\) | −15.0851 | + | 4.17599i | −0.556423 | + | 0.154034i | ||||
\(736\) | 88.5910 | + | 64.3651i | 3.26551 | + | 2.37253i | ||||
\(737\) | −7.44429 | + | 47.0014i | −0.274214 | + | 1.73132i | ||||
\(738\) | −4.18268 | + | 26.4084i | −0.153966 | + | 0.972106i | ||||
\(739\) | −24.2670 | + | 33.4006i | −0.892675 | + | 1.22866i | 0.0800710 | + | 0.996789i | \(0.474485\pi\) |
−0.972746 | + | 0.231873i | \(0.925515\pi\) | |||||||
\(740\) | 84.2242 | − | 25.3629i | 3.09614 | − | 0.932359i | ||||
\(741\) | 12.3620 | + | 17.0148i | 0.454130 | + | 0.625056i | ||||
\(742\) | 32.2810 | + | 33.0134i | 1.18507 | + | 1.21196i | ||||
\(743\) | 26.0011 | + | 26.0011i | 0.953889 | + | 0.953889i | 0.998983 | − | 0.0450933i | \(-0.0143585\pi\) |
−0.0450933 | + | 0.998983i | \(0.514359\pi\) | |||||||
\(744\) | 5.34370 | + | 1.73627i | 0.195909 | + | 0.0636548i | ||||
\(745\) | 11.5619 | − | 1.57533i | 0.423594 | − | 0.0577158i | ||||
\(746\) | 3.26683 | + | 10.0543i | 0.119607 | + | 0.368113i | ||||
\(747\) | 1.92583 | − | 3.77965i | 0.0704624 | − | 0.138290i | ||||
\(748\) | −13.1935 | + | 2.08964i | −0.482402 | + | 0.0764050i | ||||
\(749\) | −1.45685 | − | 4.66097i | −0.0532321 | − | 0.170308i | ||||
\(750\) | −2.76893 | − | 29.9805i | −0.101107 | − | 1.09473i | ||||
\(751\) | −4.34272 | −0.158468 | −0.0792341 | − | 0.996856i | \(-0.525247\pi\) | ||||
−0.0792341 | + | 0.996856i | \(0.525247\pi\) | |||||||
\(752\) | −0.417089 | − | 2.63339i | −0.0152097 | − | 0.0960300i | ||||
\(753\) | 11.9898 | − | 23.5312i | 0.436931 | − | 0.857526i | ||||
\(754\) | −4.71555 | − | 14.5130i | −0.171730 | − | 0.528532i | ||||
\(755\) | 1.58108 | + | 11.6040i | 0.0575414 | + | 0.422314i | ||||
\(756\) | 13.8945 | + | 0.155856i | 0.505339 | + | 0.00566844i | ||||
\(757\) | 7.33518 | − | 7.33518i | 0.266602 | − | 0.266602i | −0.561128 | − | 0.827729i | \(-0.689632\pi\) |
0.827729 | + | 0.561128i | \(0.189632\pi\) | |||||||
\(758\) | −79.2223 | + | 40.3658i | −2.87748 | + | 1.46615i | ||||
\(759\) | 17.8366 | − | 12.9590i | 0.647427 | − | 0.470383i | ||||
\(760\) | −66.0488 | + | 19.8896i | −2.39584 | + | 0.721473i | ||||
\(761\) | −25.7472 | + | 35.4380i | −0.933335 | + | 1.28463i | 0.0252096 | + | 0.999682i | \(0.491975\pi\) |
−0.958544 | + | 0.284943i | \(0.908025\pi\) | |||||||
\(762\) | −4.03703 | − | 0.639402i | −0.146246 | − | 0.0231631i | ||||
\(763\) | −13.0539 | + | 1.91771i | −0.472584 | + | 0.0694256i | ||||
\(764\) | 21.5369 | − | 29.6430i | 0.779179 | − | 1.07245i | ||||
\(765\) | −0.525714 | + | 1.50617i | −0.0190072 | + | 0.0544555i | ||||
\(766\) | −11.7879 | − | 16.2246i | −0.425913 | − | 0.586220i | ||||
\(767\) | −37.5168 | − | 73.6310i | −1.35465 | − | 2.65866i | ||||
\(768\) | 12.5039 | − | 12.5039i | 0.451196 | − | 0.451196i | ||||
\(769\) | 5.91626 | − | 18.2084i | 0.213346 | − | 0.656611i | −0.785921 | − | 0.618327i | \(-0.787811\pi\) |
0.999267 | − | 0.0382840i | \(-0.0121892\pi\) | |||||||
\(770\) | 38.8199 | + | 41.4603i | 1.39897 | + | 1.49413i | ||||
\(771\) | 6.02968 | + | 18.5575i | 0.217154 | + | 0.668330i | ||||
\(772\) | −12.3661 | − | 6.30083i | −0.445065 | − | 0.226772i | ||||
\(773\) | 33.9162 | − | 5.37180i | 1.21988 | − | 0.193210i | 0.486900 | − | 0.873458i | \(-0.338128\pi\) |
0.732982 | + | 0.680248i | \(0.238128\pi\) | |||||||
\(774\) | 0.548480i | 0.0197147i | ||||||||
\(775\) | 3.20496 | + | 0.138933i | 0.115126 | + | 0.00499061i | ||||
\(776\) | 17.0066i | 0.610500i | ||||||||
\(777\) | 8.79791 | + | 17.7565i | 0.315623 | + | 0.637010i | ||||
\(778\) | −0.594782 | + | 1.16733i | −0.0213240 | + | 0.0418506i | ||||
\(779\) | 33.2625 | − | 10.8076i | 1.19175 | − | 0.387224i | ||||
\(780\) | −68.9999 | − | 12.4661i | −2.47059 | − | 0.446359i | ||||
\(781\) | −5.19051 | + | 15.9747i | −0.185731 | + | 0.571621i | ||||
\(782\) | −8.40140 | − | 8.40140i | −0.300433 | − | 0.300433i | ||||
\(783\) | −0.430877 | − | 0.845643i | −0.0153983 | − | 0.0302208i | ||||
\(784\) | −86.4172 | − | 30.2381i | −3.08633 | − | 1.07993i | ||||
\(785\) | −13.8054 | + | 18.1608i | −0.492734 | + | 0.648188i | ||||
\(786\) | 5.94204 | + | 4.31714i | 0.211945 | + | 0.153987i | ||||
\(787\) | −18.0276 | − | 2.85529i | −0.642615 | − | 0.101780i | −0.173382 | − | 0.984855i | \(-0.555470\pi\) |
−0.469233 | + | 0.883074i | \(0.655470\pi\) | |||||||
\(788\) | 3.39528 | + | 0.537759i | 0.120952 | + | 0.0191569i | ||||
\(789\) | 5.47643 | + | 3.97886i | 0.194966 | + | 0.141651i | ||||
\(790\) | 26.5518 | + | 38.2615i | 0.944670 | + | 1.36128i | ||||
\(791\) | 23.1468 | − | 31.1187i | 0.823004 | − | 1.10645i | ||||
\(792\) | −14.1739 | − | 27.8177i | −0.503646 | − | 0.988461i | ||||
\(793\) | −50.1294 | − | 50.1294i | −1.78015 | − | 1.78015i | ||||
\(794\) | 23.2054 | − | 71.4190i | 0.823530 | − | 2.53456i | ||||
\(795\) | −10.0223 | − | 10.4662i | −0.355455 | − | 0.371197i | ||||
\(796\) | 98.8702 | − | 32.1249i | 3.50436 | − | 1.13864i | ||||
\(797\) | −10.0608 | + | 19.7455i | −0.356372 | + | 0.699420i | −0.997695 | − | 0.0678508i | \(-0.978386\pi\) |
0.641323 | + | 0.767271i | \(0.278386\pi\) | |||||||
\(798\) | −11.1425 | − | 22.4885i | −0.394441 | − | 0.796083i | ||||
\(799\) | 0.145433i | 0.00514506i | ||||||||
\(800\) | 43.5727 | − | 77.0704i | 1.54053 | − | 2.72485i | ||||
\(801\) | 7.75733i | 0.274092i | ||||||||
\(802\) | −72.7706 | + | 11.5257i | −2.56962 | + | 0.406988i | ||||
\(803\) | −31.6217 | − | 16.1121i | −1.11591 | − | 0.568583i | ||||
\(804\) | 21.6635 | + | 66.6734i | 0.764013 | + | 2.35139i | ||||
\(805\) | −6.90816 | + | 35.9284i | −0.243481 | + | 1.26631i | ||||
\(806\) | 3.18777 | − | 9.81095i | 0.112284 | − | 0.345576i | ||||
\(807\) | −12.9141 | + | 12.9141i | −0.454598 | + | 0.454598i | ||||
\(808\) | −25.5329 | − | 50.1112i | −0.898245 | − | 1.76291i | ||||
\(809\) | 15.6457 | + | 21.5344i | 0.550072 | + | 0.757109i | 0.990022 | − | 0.140913i | \(-0.0450038\pi\) |
−0.439950 | + | 0.898022i | \(0.645004\pi\) | |||||||
\(810\) | −6.02020 | − | 0.130424i | −0.211528 | − | 0.00458264i | ||||
\(811\) | −15.6325 | + | 21.5163i | −0.548932 | + | 0.755539i | −0.989867 | − | 0.142000i | \(-0.954647\pi\) |
0.440935 | + | 0.897539i | \(0.354647\pi\) | |||||||
\(812\) | 1.91682 | + | 13.0479i | 0.0672673 | + | 0.457892i | ||||
\(813\) | −14.0907 | − | 2.23175i | −0.494183 | − | 0.0782708i | ||||
\(814\) | 42.2661 | − | 58.1743i | 1.48143 | − | 2.03901i | ||||
\(815\) | −0.374858 | + | 17.3029i | −0.0131307 | + | 0.606095i | ||||
\(816\) | −7.54904 | + | 5.48470i | −0.264269 | + | 0.192003i | ||||
\(817\) | 0.639246 | − | 0.325712i | 0.0223644 | − | 0.0113952i | ||||
\(818\) | −3.67911 | + | 3.67911i | −0.128637 | + | 0.128637i | ||||
\(819\) | 0.177181 | − | 15.7957i | 0.00619121 | − | 0.551945i | ||||
\(820\) | −55.1734 | + | 102.721i | −1.92674 | + | 3.58718i | ||||
\(821\) | −7.84636 | − | 24.1486i | −0.273840 | − | 0.842792i | −0.989524 | − | 0.144368i | \(-0.953885\pi\) |
0.715684 | − | 0.698424i | \(-0.246115\pi\) | |||||||
\(822\) | 17.5319 | − | 34.4082i | 0.611494 | − | 1.20012i | ||||
\(823\) | 3.66412 | + | 23.1344i | 0.127723 | + | 0.806413i | 0.965501 | + | 0.260401i | \(0.0838548\pi\) |
−0.837777 | + | 0.546012i | \(0.816145\pi\) | |||||||
\(824\) | −18.0836 | −0.629971 | ||||||||
\(825\) | −12.0467 | − | 13.1384i | −0.419411 | − | 0.457421i | ||||
\(826\) | 29.4197 | + | 94.1239i | 1.02364 | + | 3.27499i | ||||
\(827\) | 4.60917 | − | 0.730021i | 0.160277 | − | 0.0253853i | −0.0757804 | − | 0.997125i | \(-0.524145\pi\) |
0.236057 | + | 0.971739i | \(0.424145\pi\) | |||||||
\(828\) | 14.7454 | − | 28.9395i | 0.512438 | − | 1.00572i | ||||
\(829\) | 8.99475 | + | 27.6830i | 0.312401 | + | 0.961470i | 0.976811 | + | 0.214103i | \(0.0686827\pi\) |
−0.664411 | + | 0.747368i | \(0.731317\pi\) | |||||||
\(830\) | 18.4491 | − | 17.6667i | 0.640378 | − | 0.613219i | ||||
\(831\) | 1.04905 | + | 0.340856i | 0.0363910 | + | 0.0118242i | ||||
\(832\) | −90.8769 | − | 90.8769i | −3.15059 | − | 3.15059i | ||||
\(833\) | 4.39772 | + | 2.36647i | 0.152372 | + | 0.0819935i | ||||
\(834\) | 13.7803 | + | 18.9670i | 0.477173 | + | 0.656772i | ||||
\(835\) | 32.0413 | + | 46.1720i | 1.10883 | + | 1.59785i | ||||
\(836\) | −38.7669 | + | 53.3581i | −1.34078 | + | 1.84543i | ||||
\(837\) | 0.100368 | − | 0.633696i | 0.00346921 | − | 0.0219037i | ||||
\(838\) | −2.96676 | + | 18.7314i | −0.102485 | + | 0.647066i | ||||
\(839\) | 17.2694 | + | 12.5470i | 0.596207 | + | 0.433170i | 0.844531 | − | 0.535507i | \(-0.179880\pi\) |
−0.248323 | + | 0.968677i | \(0.579880\pi\) | |||||||
\(840\) | 48.7208 | + | 17.6210i | 1.68103 | + | 0.607984i | ||||
\(841\) | −22.7328 | + | 16.5163i | −0.783888 | + | 0.569528i | ||||
\(842\) | 32.2333 | + | 63.2614i | 1.11083 | + | 2.18013i | ||||
\(843\) | −12.1932 | + | 12.1932i | −0.419955 | + | 0.419955i | ||||
\(844\) | 97.1852 | + | 31.5774i | 3.34525 | + | 1.08694i | ||||
\(845\) | −9.00364 | + | 49.8351i | −0.309735 | + | 1.71438i | ||||
\(846\) | −0.522092 | + | 0.169638i | −0.0179499 | + | 0.00583228i | ||||
\(847\) | 4.45935 | + | 0.757658i | 0.153225 | + | 0.0260334i | ||||
\(848\) | −13.2595 | − | 83.7172i | −0.455333 | − | 2.87486i | ||||
\(849\) | 16.2001i | 0.555985i | ||||||||
\(850\) | −5.97763 | + | 7.51971i | −0.205031 | + | 0.257924i | ||||
\(851\) | 46.3197 | 1.58782 | ||||||||
\(852\) | 3.87093 | + | 24.4401i | 0.132616 | + | 0.837304i | ||||
\(853\) | −18.6081 | − | 9.48128i | −0.637128 | − | 0.324633i | 0.105418 | − | 0.994428i | \(-0.466382\pi\) |
−0.742546 | + | 0.669795i | \(0.766382\pi\) | |||||||
\(854\) | 48.9556 | + | 68.9959i | 1.67523 | + | 2.36099i | ||||
\(855\) | 3.42306 | + | 7.09391i | 0.117066 | + | 0.242607i | ||||
\(856\) | −4.99488 | + | 15.3727i | −0.170722 | + | 0.525427i | ||||
\(857\) | −15.7492 | − | 15.7492i | −0.537981 | − | 0.537981i | 0.384955 | − | 0.922935i | \(-0.374217\pi\) |
−0.922935 | + | 0.384955i | \(0.874217\pi\) | |||||||
\(858\) | −51.0730 | + | 26.0230i | −1.74360 | + | 0.888410i | ||||
\(859\) | −11.7622 | + | 8.54571i | −0.401320 | + | 0.291576i | −0.770078 | − | 0.637949i | \(-0.779783\pi\) |
0.368759 | + | 0.929525i | \(0.379783\pi\) | |||||||
\(860\) | −0.788231 | + | 2.25828i | −0.0268785 | + | 0.0770066i | ||||
\(861\) | −24.8906 | − | 8.39727i | −0.848271 | − | 0.286178i | ||||
\(862\) | 8.87720 | − | 56.0484i | 0.302359 | − | 1.90902i | ||||
\(863\) | −34.7984 | − | 5.51153i | −1.18455 | − | 0.187615i | −0.467088 | − | 0.884211i | \(-0.654697\pi\) |
−0.717463 | + | 0.696596i | \(0.754697\pi\) | |||||||
\(864\) | −14.3252 | − | 10.4079i | −0.487355 | − | 0.354084i | ||||
\(865\) | −3.82454 | − | 12.7004i | −0.130038 | − | 0.431826i | ||||
\(866\) | −45.6799 | − | 62.8730i | −1.55227 | − | 2.13651i | ||||
\(867\) | −14.6936 | + | 7.48677i | −0.499021 | + | 0.254264i | ||||
\(868\) | −4.13627 | + | 7.89762i | −0.140394 | + | 0.268063i | ||||
\(869\) | 26.2231 | + | 8.52039i | 0.889557 | + | 0.289034i | ||||
\(870\) | −0.771560 | − | 5.66272i | −0.0261583 | − | 0.191984i | ||||
\(871\) | 75.7960 | − | 24.6276i | 2.56825 | − | 0.834475i | ||||
\(872\) | 38.9121 | + | 19.8267i | 1.31773 | + | 0.671417i | ||||
\(873\) | 1.91806 | − | 0.303791i | 0.0649165 | − | 0.0102818i | ||||
\(874\) | −58.6637 | −1.98433 | ||||||||
\(875\) | 29.4946 | + | 2.25184i | 0.997098 | + | 0.0761260i | ||||
\(876\) | −52.2830 | −1.76648 | ||||||||
\(877\) | −34.4050 | + | 5.44922i | −1.16178 | + | 0.184007i | −0.707407 | − | 0.706807i | \(-0.750135\pi\) |
−0.454369 | + | 0.890814i | \(0.650135\pi\) | |||||||
\(878\) | −58.2353 | − | 29.6724i | −1.96535 | − | 1.00139i | ||||
\(879\) | −5.32033 | + | 1.72868i | −0.179450 | + | 0.0583070i | ||||
\(880\) | −14.0762 | − | 103.309i | −0.474508 | − | 3.48256i | ||||
\(881\) | −45.5616 | − | 14.8038i | −1.53501 | − | 0.498754i | −0.585014 | − | 0.811023i | \(-0.698911\pi\) |
−0.949994 | + | 0.312269i | \(0.898911\pi\) | |||||||
\(882\) | −3.36579 | + | 18.5477i | −0.113332 | + | 0.624534i | ||||
\(883\) | −5.86364 | + | 2.98767i | −0.197327 | + | 0.100543i | −0.549862 | − | 0.835255i | \(-0.685320\pi\) |
0.352535 | + | 0.935799i | \(0.385320\pi\) | |||||||
\(884\) | 13.1495 | + | 18.0987i | 0.442264 | + | 0.608725i | ||||
\(885\) | −8.92404 | − | 29.6346i | −0.299978 | − | 0.996157i | ||||
\(886\) | 15.4416 | + | 11.2190i | 0.518772 | + | 0.376910i | ||||
\(887\) | 17.1908 | + | 2.72276i | 0.577212 | + | 0.0914214i | 0.438213 | − | 0.898871i | \(-0.355612\pi\) |
0.138999 | + | 0.990293i | \(0.455612\pi\) | |||||||
\(888\) | 10.2609 | − | 64.7848i | 0.344334 | − | 2.17404i | ||||
\(889\) | 1.28368 | − | 3.80501i | 0.0430533 | − | 0.127616i | ||||
\(890\) | −15.3935 | + | 44.1023i | −0.515992 | + | 1.47831i | ||||
\(891\) | −2.88419 | + | 2.09549i | −0.0966240 | + | 0.0702015i | ||||
\(892\) | 49.3250 | − | 25.1323i | 1.65152 | − | 0.841493i | ||||
\(893\) | 0.507752 | + | 0.507752i | 0.0169913 | + | 0.0169913i | ||||
\(894\) | 4.34258 | − | 13.3651i | 0.145238 | − | 0.446996i | ||||
\(895\) | 13.8111 | + | 28.6219i | 0.461653 | + | 0.956726i | ||||
\(896\) | 34.5293 | + | 48.6642i | 1.15354 | + | 1.62576i | ||||
\(897\) | −32.8991 | − | 16.7629i | −1.09847 | − | 0.559698i | ||||
\(898\) | −14.3962 | − | 90.8942i | −0.480408 | − | 3.03318i | ||||
\(899\) | 0.608930 | 0.0203089 | ||||||||
\(900\) | −24.5997 | − | 9.18874i | −0.819991 | − | 0.306291i | ||||
\(901\) | 4.62341i | 0.154028i | ||||||||
\(902\) | 14.9115 | + | 94.1474i | 0.496498 | + | 3.13477i | ||||
\(903\) | −0.531254 | − | 0.0902619i | −0.0176790 | − | 0.00300373i | ||||
\(904\) | −122.089 | + | 39.6692i | −4.06062 | + | 1.31938i | ||||
\(905\) | 1.74553 | − | 9.66147i | 0.0580233 | − | 0.321158i | ||||
\(906\) | 13.4138 | + | 4.35842i | 0.445645 | + | 0.144799i | ||||
\(907\) | 29.9696 | − | 29.9696i | 0.995125 | − | 0.995125i | −0.00486305 | − | 0.999988i | \(-0.501548\pi\) |
0.999988 | + | 0.00486305i | \(0.00154796\pi\) | |||||||
\(908\) | 30.6218 | + | 60.0987i | 1.01622 | + | 1.99445i | ||||
\(909\) | −5.19561 | + | 3.77483i | −0.172328 | + | 0.125203i | ||||
\(910\) | 32.3520 | − | 89.4507i | 1.07246 | − | 2.96526i | ||||
\(911\) | −17.9205 | − | 13.0200i | −0.593734 | − | 0.431373i | 0.249915 | − | 0.968268i | \(-0.419597\pi\) |
−0.843649 | + | 0.536895i | \(0.819597\pi\) | |||||||
\(912\) | −7.20725 | + | 45.5048i | −0.238656 | + | 1.50681i | ||||
\(913\) | 2.36575 | − | 14.9368i | 0.0782950 | − | 0.494335i | ||||
\(914\) | −33.0907 | + | 45.5455i | −1.09454 | + | 1.50651i | ||||
\(915\) | −15.1372 | − | 21.8130i | −0.500421 | − | 0.721114i | ||||
\(916\) | 39.8728 | + | 54.8802i | 1.31743 | + | 1.81329i | ||||
\(917\) | −5.15942 | + | 5.04495i | −0.170379 | + | 0.166599i | ||||
\(918\) | 1.35851 | + | 1.35851i | 0.0448377 | + | 0.0448377i | ||||
\(919\) | 11.8815 | + | 3.86053i | 0.391935 | + | 0.127347i | 0.498353 | − | 0.866974i | \(-0.333938\pi\) |
−0.106419 | + | 0.994321i | \(0.533938\pi\) | |||||||
\(920\) | 87.4658 | − | 83.7564i | 2.88366 | − | 2.76137i | ||||
\(921\) | 1.22741 | + | 3.77757i | 0.0404445 | + | 0.124475i | ||||
\(922\) | 6.90538 | − | 13.5526i | 0.227417 | − | 0.446330i | ||||
\(923\) | 27.7841 | − | 4.40057i | 0.914526 | − | 0.144847i | ||||
\(924\) | 47.2821 | − | 14.7787i | 1.55547 | − | 0.486182i | ||||
\(925\) | −4.25101 | − | 37.2077i | −0.139772 | − | 1.22338i | ||||
\(926\) | 68.7066 | 2.25784 | ||||||||
\(927\) | 0.323029 | + | 2.03953i | 0.0106097 | + | 0.0669868i | ||||
\(928\) | 7.62953 | − | 14.9738i | 0.250451 | − | 0.491539i | ||||
\(929\) | −14.0284 | − | 43.1748i | −0.460255 | − | 1.41652i | −0.864853 | − | 0.502025i | \(-0.832588\pi\) |
0.404598 | − | 0.914495i | \(-0.367412\pi\) | |||||||
\(930\) | 1.82811 | − | 3.40355i | 0.0599461 | − | 0.111607i | ||||
\(931\) | 23.6159 | − | 7.09169i | 0.773979 | − | 0.232421i | ||||
\(932\) | 8.76572 | − | 8.76572i | 0.287131 | − | 0.287131i | ||||
\(933\) | −20.0574 | + | 10.2198i | −0.656651 | + | 0.334580i | ||||
\(934\) | −41.8165 | + | 30.3815i | −1.36828 | + | 0.994112i | ||||
\(935\) | −0.123182 | + | 5.68592i | −0.00402849 | + | 0.185949i | ||||
\(936\) | −30.7333 | + | 42.3008i | −1.00455 | + | 1.38264i | ||||
\(937\) | 45.5925 | + | 7.22114i | 1.48944 | + | 0.235904i | 0.847478 | − | 0.530831i | \(-0.178120\pi\) |
0.641963 | + | 0.766735i | \(0.278120\pi\) | |||||||
\(938\) | −94.0946 | + | 13.8231i | −3.07230 | + | 0.451340i | ||||
\(939\) | −2.17086 | + | 2.98794i | −0.0708435 | + | 0.0975077i | ||||
\(940\) | −2.39342 | − | 0.0518520i | −0.0780646 | − | 0.00169123i | ||||
\(941\) | −28.7014 | − | 39.5041i | −0.935638 | − | 1.28780i | −0.957619 | − | 0.288037i | \(-0.906997\pi\) |
0.0219810 | − | 0.999758i | \(-0.493003\pi\) | |||||||
\(942\) | 12.4727 | + | 24.4790i | 0.406382 | + | 0.797570i | ||||
\(943\) | −43.4176 | + | 43.4176i | −1.41387 | + | 1.41387i | ||||
\(944\) | 55.9408 | − | 172.168i | 1.82072 | − | 5.60360i | ||||
\(945\) | 1.11706 | − | 5.80966i | 0.0363378 | − | 0.188988i | ||||
\(946\) | 0.604241 | + | 1.85966i | 0.0196456 | + | 0.0604628i | ||||
\(947\) | −39.9840 | − | 20.3728i | −1.29930 | − | 0.662029i | −0.338948 | − | 0.940805i | \(-0.610071\pi\) |
−0.960356 | + | 0.278776i | \(0.910071\pi\) | |||||||
\(948\) | 40.1193 | − | 6.35427i | 1.30301 | − | 0.206377i | ||||
\(949\) | 59.4367i | 1.92940i | ||||||||
\(950\) | 5.38388 | + | 47.1233i | 0.174676 | + | 1.52888i | ||||
\(951\) | 14.6741i | 0.475841i | ||||||||
\(952\) | −7.33883 | − | 14.8117i | −0.237853 | − | 0.480048i | ||||
\(953\) | −8.73467 | + | 17.1428i | −0.282944 | + | 0.555309i | −0.988113 | − | 0.153731i | \(-0.950871\pi\) |
0.705169 | + | 0.709039i | \(0.250871\pi\) | |||||||
\(954\) | −16.5976 | + | 5.39290i | −0.537368 | + | 0.174601i | ||||
\(955\) | −10.7894 | − | 11.2673i | −0.349138 | − | 0.364601i | ||||
\(956\) | 48.4589 | − | 149.141i | 1.56727 | − | 4.82357i | ||||
\(957\) | −2.39253 | − | 2.39253i | −0.0773396 | − | 0.0773396i | ||||
\(958\) | −3.13551 | − | 6.15379i | −0.101304 | − | 0.198820i | ||||
\(959\) | 30.4424 | + | 22.6437i | 0.983036 | + | 0.731203i | ||||
\(960\) | −27.4415 | − | 39.5436i | −0.885670 | − | 1.27626i | ||||
\(961\) | −24.7465 | − | 17.9794i | −0.798274 | − | 0.579980i | ||||
\(962\) | −118.944 | − | 18.8389i | −3.83491 | − | 0.607390i | ||||
\(963\) | 1.82301 | + | 0.288736i | 0.0587456 | + | 0.00930439i | ||||
\(964\) | 104.055 | + | 75.6003i | 3.35138 | + | 2.43492i | ||||
\(965\) | −3.57595 | + | 4.70413i | −0.115114 | + | 0.151431i | ||||
\(966\) | 35.3542 | + | 26.2972i | 1.13750 | + | 0.846099i | ||||
\(967\) | 3.27023 | + | 6.41818i | 0.105163 | + | 0.206395i | 0.937592 | − | 0.347738i | \(-0.113050\pi\) |
−0.832428 | + | 0.554133i | \(0.813050\pi\) | |||||||
\(968\) | −10.5867 | − | 10.5867i | −0.340270 | − | 0.340270i | ||||
\(969\) | 0.776583 | − | 2.39008i | 0.0249474 | − | 0.0767803i | ||||
\(970\) | 11.5075 | + | 2.07904i | 0.369483 | + | 0.0667541i | ||||
\(971\) | −4.94954 | + | 1.60820i | −0.158838 | + | 0.0516097i | −0.387357 | − | 0.921930i | \(-0.626612\pi\) |
0.228519 | + | 0.973540i | \(0.426612\pi\) | |||||||
\(972\) | −2.38434 | + | 4.67954i | −0.0764779 | + | 0.150096i | ||||
\(973\) | −20.6390 | + | 10.2262i | −0.661657 | + | 0.327836i | ||||
\(974\) | 21.4976i | 0.688829i | ||||||||
\(975\) | −10.4460 | + | 27.9656i | −0.334539 | + | 0.895616i | ||||
\(976\) | − | 155.301i | − | 4.97106i | ||||||
\(977\) | −36.7431 | + | 5.81953i | −1.17552 | + | 0.186183i | −0.713478 | − | 0.700677i | \(-0.752881\pi\) |
−0.462037 | + | 0.886861i | \(0.652881\pi\) | |||||||
\(978\) | 18.5714 | + | 9.46262i | 0.593849 | + | 0.302581i | ||||
\(979\) | 8.54596 | + | 26.3018i | 0.273130 | + | 0.840608i | ||||
\(980\) | −40.5133 | + | 71.5301i | −1.29415 | + | 2.28494i | ||||
\(981\) | 1.54103 | − | 4.74281i | 0.0492013 | − | 0.151426i | ||||
\(982\) | −41.3751 | + | 41.3751i | −1.32033 | + | 1.32033i | ||||
\(983\) | −4.09962 | − | 8.04596i | −0.130758 | − | 0.256626i | 0.816340 | − | 0.577571i | \(-0.196000\pi\) |
−0.947098 | + | 0.320945i | \(0.896000\pi\) | |||||||
\(984\) | 51.1078 | + | 70.3439i | 1.62926 | + | 2.24248i | ||||
\(985\) | 0.482315 | − | 1.38183i | 0.0153678 | − | 0.0440288i | ||||
\(986\) | −1.07178 | + | 1.47517i | −0.0341323 | + | 0.0469791i | ||||
\(987\) | −0.0783909 | − | 0.533612i | −0.00249521 | − | 0.0169850i | ||||
\(988\) | 109.097 | + | 17.2793i | 3.47083 | + | 0.549726i | ||||
\(989\) | −0.740354 | + | 1.01901i | −0.0235419 | + | 0.0324026i | ||||
\(990\) | −20.5556 | + | 6.19002i | −0.653300 | + | 0.196732i | ||||
\(991\) | 43.1364 | − | 31.3405i | 1.37027 | − | 0.995563i | 0.372559 | − | 0.928009i | \(-0.378481\pi\) |
0.997716 | − | 0.0675538i | \(-0.0215194\pi\) | |||||||
\(992\) | 10.1225 | − | 5.15765i | 0.321389 | − | 0.163756i | ||||
\(993\) | −1.94906 | + | 1.94906i | −0.0618516 | + | 0.0618516i | ||||
\(994\) | −33.5668 | − | 0.376522i | −1.06468 | − | 0.0119426i | ||||
\(995\) | −5.97547 | − | 43.8558i | −0.189435 | − | 1.39032i | ||||
\(996\) | −6.88455 | − | 21.1885i | −0.218145 | − | 0.671382i | ||||
\(997\) | 9.66918 | − | 18.9768i | 0.306226 | − | 0.601002i | −0.685691 | − | 0.727893i | \(-0.740500\pi\) |
0.991917 | + | 0.126891i | \(0.0404998\pi\) | |||||||
\(998\) | 17.6719 | + | 111.576i | 0.559394 | + | 3.53187i | ||||
\(999\) | −7.48995 | −0.236971 |
(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 | 525.2.bh.a.13.2 | yes | 320 | |
7.6 | odd | 2 | inner | 525.2.bh.a.13.1 | ✓ | 320 | |
25.2 | odd | 20 | inner | 525.2.bh.a.202.1 | yes | 320 | |
175.27 | even | 20 | inner | 525.2.bh.a.202.2 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bh.a.13.1 | ✓ | 320 | 7.6 | odd | 2 | inner | |
525.2.bh.a.13.2 | yes | 320 | 1.1 | even | 1 | trivial | |
525.2.bh.a.202.1 | yes | 320 | 25.2 | odd | 20 | inner | |
525.2.bh.a.202.2 | yes | 320 | 175.27 | even | 20 | inner |