Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,2,Mod(35,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.l (of order \(18\), degree \(6\), not 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: | \(2.58715302549\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 35.14 | ||
Character | \(\chi\) | \(=\) | 324.35 |
Dual form | 324.2.l.a.287.14 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.27725 | − | 0.607153i | 0.903151 | − | 0.429322i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.26273 | − | 1.55097i | 0.631365 | − | 0.775486i | ||||
\(5\) | −1.29726 | + | 3.56419i | −0.580152 | + | 1.59395i | 0.207769 | + | 0.978178i | \(0.433380\pi\) |
−0.787921 | + | 0.615776i | \(0.788843\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.58045 | + | 0.455003i | 0.975319 | + | 0.171975i | 0.638523 | − | 0.769603i | \(-0.279546\pi\) |
0.336796 | + | 0.941578i | \(0.390657\pi\) | |||||||
\(8\) | 0.671144 | − | 2.74765i | 0.237285 | − | 0.971440i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.507086 | + | 5.33999i | 0.160355 | + | 1.68865i | ||||
\(11\) | 3.39295 | − | 1.23493i | 1.02301 | − | 0.372347i | 0.224597 | − | 0.974452i | \(-0.427893\pi\) |
0.798417 | + | 0.602105i | \(0.205671\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.819980 | + | 0.688045i | −0.227421 | + | 0.190829i | −0.749377 | − | 0.662143i | \(-0.769647\pi\) |
0.521956 | + | 0.852973i | \(0.325203\pi\) | |||||||
\(14\) | 3.57213 | − | 0.985577i | 0.954693 | − | 0.263406i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.811025 | − | 3.91692i | −0.202756 | − | 0.979229i | ||||
\(17\) | −0.980503 | + | 0.566093i | −0.237807 | + | 0.137298i | −0.614168 | − | 0.789175i | \(-0.710508\pi\) |
0.376361 | + | 0.926473i | \(0.377175\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0627092 | − | 0.0362052i | −0.0143865 | − | 0.00830603i | 0.492790 | − | 0.870149i | \(-0.335977\pi\) |
−0.507176 | + | 0.861843i | \(0.669311\pi\) | |||||||
\(20\) | 3.88987 | + | 6.51262i | 0.869801 | + | 1.45627i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.58385 | − | 3.63736i | 0.764080 | − | 0.775488i | ||||
\(23\) | −0.0731435 | − | 0.414817i | −0.0152515 | − | 0.0864954i | 0.976232 | − | 0.216728i | \(-0.0695386\pi\) |
−0.991483 | + | 0.130233i | \(0.958427\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.19034 | − | 6.03341i | −1.43807 | − | 1.20668i | ||||
\(26\) | −0.629570 | + | 1.37666i | −0.123469 | + | 0.269985i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.96411 | − | 3.42766i | 0.749146 | − | 0.647767i | ||||
\(29\) | 0.192281 | − | 0.229152i | 0.0357057 | − | 0.0425524i | −0.747896 | − | 0.663816i | \(-0.768936\pi\) |
0.783602 | + | 0.621263i | \(0.213380\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.88084 | + | 1.21328i | −1.23583 | + | 0.217911i | −0.753130 | − | 0.657872i | \(-0.771457\pi\) |
−0.482705 | + | 0.875783i | \(0.660346\pi\) | |||||||
\(32\) | −3.41405 | − | 4.51046i | −0.603524 | − | 0.797345i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.908641 | + | 1.31836i | −0.155831 | + | 0.226096i | ||||
\(35\) | −4.96923 | + | 8.60696i | −0.839953 | + | 1.45484i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.377668 | + | 0.654141i | 0.0620883 | + | 0.107540i | 0.895399 | − | 0.445265i | \(-0.146891\pi\) |
−0.833310 | + | 0.552805i | \(0.813557\pi\) | |||||||
\(38\) | −0.102077 | − | 0.00816893i | −0.0165591 | − | 0.00132518i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.92249 | + | 5.95649i | 1.41077 | + | 0.941804i | ||||
\(41\) | −6.36586 | − | 7.58654i | −0.994180 | − | 1.18482i | −0.982761 | − | 0.184883i | \(-0.940809\pi\) |
−0.0114196 | − | 0.999935i | \(-0.503635\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.18308 | − | 8.74545i | −0.485416 | − | 1.33367i | −0.904791 | − | 0.425856i | \(-0.859973\pi\) |
0.419375 | − | 0.907813i | \(-0.362249\pi\) | |||||||
\(44\) | 2.36904 | − | 6.82177i | 0.357146 | − | 1.02842i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.345280 | − | 0.485416i | −0.0509088 | − | 0.0715706i | ||||
\(47\) | 0.0443203 | − | 0.251353i | 0.00646479 | − | 0.0366636i | −0.981405 | − | 0.191950i | \(-0.938519\pi\) |
0.987870 | + | 0.155286i | \(0.0496300\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.126150 | − | 0.0459147i | −0.0180214 | − | 0.00655925i | ||||
\(50\) | −12.8471 | − | 3.34053i | −1.81685 | − | 0.472423i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0317246 | + | 2.14058i | 0.00439941 | + | 0.296845i | ||||
\(53\) | 12.0634i | 1.65703i | 0.559967 | + | 0.828515i | \(0.310814\pi\) | ||||
−0.559967 | + | 0.828515i | \(0.689186\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 13.6952i | 1.84666i | ||||||||
\(56\) | 2.98204 | − | 6.78480i | 0.398492 | − | 0.906657i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.106461 | − | 0.409428i | 0.0139790 | − | 0.0537605i | ||||
\(59\) | 11.7359 | + | 4.27153i | 1.52789 | + | 0.556106i | 0.963104 | − | 0.269131i | \(-0.0867365\pi\) |
0.564786 | + | 0.825237i | \(0.308959\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.13416 | + | 6.43213i | −0.145214 | + | 0.823550i | 0.821981 | + | 0.569515i | \(0.192869\pi\) |
−0.967195 | + | 0.254035i | \(0.918242\pi\) | |||||||
\(62\) | −8.05190 | + | 5.72738i | −1.02259 | + | 0.727378i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.09913 | − | 3.68813i | −0.887392 | − | 0.461016i | ||||
\(65\) | −1.38860 | − | 3.81514i | −0.172234 | − | 0.473209i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.37678 | + | 5.21604i | 0.534709 | + | 0.637241i | 0.963993 | − | 0.265928i | \(-0.0856785\pi\) |
−0.429284 | + | 0.903170i | \(0.641234\pi\) | |||||||
\(68\) | −0.360115 | + | 2.23555i | −0.0436704 | + | 0.271101i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.12120 | + | 14.0103i | −0.134009 | + | 1.67455i | ||||
\(71\) | −6.35108 | − | 11.0004i | −0.753734 | − | 1.30551i | −0.946001 | − | 0.324163i | \(-0.894917\pi\) |
0.192267 | − | 0.981343i | \(-0.438416\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.578249 | + | 1.00156i | −0.0676789 | + | 0.117223i | −0.897879 | − | 0.440242i | \(-0.854893\pi\) |
0.830200 | + | 0.557465i | \(0.188226\pi\) | |||||||
\(74\) | 0.879540 | + | 0.606198i | 0.102244 | + | 0.0704691i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.135338 | + | 0.0515428i | −0.0155243 | + | 0.00591236i | ||||
\(77\) | 9.31725 | − | 1.64288i | 1.06180 | − | 0.187224i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.09561 | − | 6.07271i | 0.573301 | − | 0.683233i | −0.399004 | − | 0.916949i | \(-0.630644\pi\) |
0.972305 | + | 0.233716i | \(0.0750886\pi\) | |||||||
\(80\) | 15.0127 | + | 2.19061i | 1.67848 | + | 0.244917i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.7370 | − | 5.82484i | −1.40656 | − | 0.643246i | ||||
\(83\) | −3.00034 | − | 2.51758i | −0.329330 | − | 0.276340i | 0.463097 | − | 0.886308i | \(-0.346738\pi\) |
−0.792427 | + | 0.609967i | \(0.791183\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.745699 | − | 4.22907i | −0.0808824 | − | 0.458707i | ||||
\(86\) | −9.37542 | − | 9.23750i | −1.01098 | − | 0.996105i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.11601 | − | 10.1515i | −0.118967 | − | 1.08215i | ||||
\(89\) | −2.07380 | − | 1.19731i | −0.219823 | − | 0.126915i | 0.386046 | − | 0.922480i | \(-0.373841\pi\) |
−0.605868 | + | 0.795565i | \(0.707174\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.42898 | + | 1.40237i | −0.254626 | + | 0.147009i | ||||
\(92\) | −0.735730 | − | 0.410359i | −0.0767052 | − | 0.0427829i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.0960018 | − | 0.347950i | −0.00990183 | − | 0.0358883i | ||||
\(95\) | 0.210392 | − | 0.176540i | 0.0215858 | − | 0.0181126i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.81485 | − | 0.660552i | 0.184270 | − | 0.0670689i | −0.248237 | − | 0.968699i | \(-0.579851\pi\) |
0.432507 | + | 0.901630i | \(0.357629\pi\) | |||||||
\(98\) | −0.189002 | + | 0.0179476i | −0.0190921 | + | 0.00181299i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −18.4371 | + | 3.53344i | −1.84371 | + | 0.353344i | ||||
\(101\) | −4.42993 | − | 0.781117i | −0.440795 | − | 0.0777241i | −0.0511538 | − | 0.998691i | \(-0.516290\pi\) |
−0.389641 | + | 0.920967i | \(0.627401\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.17204 | − | 5.96763i | 0.214017 | − | 0.588008i | −0.785507 | − | 0.618853i | \(-0.787598\pi\) |
0.999524 | + | 0.0308451i | \(0.00981984\pi\) | |||||||
\(104\) | 1.34018 | + | 2.71479i | 0.131415 | + | 0.266207i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.32430 | + | 15.4079i | 0.711399 | + | 1.49655i | ||||
\(107\) | −9.90677 | −0.957724 | −0.478862 | − | 0.877890i | \(-0.658951\pi\) | ||||
−0.478862 | + | 0.877890i | \(0.658951\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.94635 | 0.761122 | 0.380561 | − | 0.924756i | \(-0.375731\pi\) | ||||
0.380561 | + | 0.924756i | \(0.375731\pi\) | |||||||
\(110\) | 8.31506 | + | 17.4921i | 0.792810 | + | 1.66781i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.310602 | − | 10.4764i | −0.0293491 | − | 0.989930i | ||||
\(113\) | 3.44642 | − | 9.46897i | 0.324212 | − | 0.890766i | −0.665334 | − | 0.746546i | \(-0.731711\pi\) |
0.989546 | − | 0.144219i | \(-0.0460671\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.57337 | + | 0.277428i | 0.146718 | + | 0.0258703i | ||||
\(116\) | −0.112609 | − | 0.587579i | −0.0104554 | − | 0.0545554i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 17.5832 | − | 1.66970i | 1.61866 | − | 0.153709i | ||||
\(119\) | −2.78771 | + | 1.01464i | −0.255549 | + | 0.0930123i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.56059 | − | 1.30949i | 0.141872 | − | 0.119045i | ||||
\(122\) | 2.45669 | + | 8.90404i | 0.222418 | + | 0.806134i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.80688 | + | 12.2040i | −0.611276 | + | 1.09595i | ||||
\(125\) | 14.4081 | − | 8.31852i | 1.28870 | − | 0.744031i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.0681 | + | 6.39020i | 0.982139 | + | 0.567038i | 0.902915 | − | 0.429819i | \(-0.141423\pi\) |
0.0792237 | + | 0.996857i | \(0.474756\pi\) | |||||||
\(128\) | −11.3066 | − | 0.400402i | −0.999374 | − | 0.0353909i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.08995 | − | 4.02979i | −0.358713 | − | 0.353436i | ||||
\(131\) | 1.12042 | + | 6.35420i | 0.0978913 | + | 0.555169i | 0.993823 | + | 0.110977i | \(0.0353981\pi\) |
−0.895932 | + | 0.444192i | \(0.853491\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.145344 | − | 0.121958i | −0.0126030 | − | 0.0105751i | ||||
\(134\) | 8.75717 | + | 4.00481i | 0.756505 | + | 0.345963i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.897367 | + | 3.07401i | 0.0769486 | + | 0.263594i | ||||
\(137\) | −1.38785 | + | 1.65398i | −0.118572 | + | 0.141309i | −0.822065 | − | 0.569393i | \(-0.807178\pi\) |
0.703493 | + | 0.710702i | \(0.251623\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.90717 | + | 1.21792i | −0.585859 | + | 0.103303i | −0.458718 | − | 0.888582i | \(-0.651691\pi\) |
−0.127141 | + | 0.991885i | \(0.540580\pi\) | |||||||
\(140\) | 7.07435 | + | 18.5754i | 0.597892 | + | 1.56991i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −14.7908 | − | 10.1942i | −1.24122 | − | 0.855475i | ||||
\(143\) | −1.93246 | + | 3.34713i | −0.161601 | + | 0.279901i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.567302 | + | 0.982595i | 0.0471118 | + | 0.0816001i | ||||
\(146\) | −0.130470 | + | 1.63032i | −0.0107977 | + | 0.134926i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.49145 | + | 0.240250i | 0.122596 | + | 0.0197485i | ||||
\(149\) | 7.49826 | + | 8.93608i | 0.614282 | + | 0.732072i | 0.980076 | − | 0.198623i | \(-0.0636470\pi\) |
−0.365794 | + | 0.930696i | \(0.619203\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.154723 | − | 0.425097i | −0.0125911 | − | 0.0345939i | 0.933238 | − | 0.359259i | \(-0.116971\pi\) |
−0.945829 | + | 0.324665i | \(0.894748\pi\) | |||||||
\(152\) | −0.141566 | + | 0.148004i | −0.0114825 | + | 0.0120047i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 10.9030 | − | 7.75537i | 0.878586 | − | 0.624946i | ||||
\(155\) | 4.60188 | − | 26.0985i | 0.369632 | − | 2.09629i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.2816 | + | 6.28998i | 1.37922 | + | 0.501995i | 0.921942 | − | 0.387328i | \(-0.126602\pi\) |
0.457279 | + | 0.889323i | \(0.348824\pi\) | |||||||
\(158\) | 2.82130 | − | 10.8502i | 0.224450 | − | 0.863193i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 20.5050 | − | 6.31708i | 1.62107 | − | 0.499409i | ||||
\(161\) | − | 1.10370i | − | 0.0869834i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 22.5880i | − | 1.76923i | −0.466320 | − | 0.884616i | \(-0.654421\pi\) | ||
0.466320 | − | 0.884616i | \(-0.345579\pi\) | |||||||
\(164\) | −19.8049 | + | 0.293519i | −1.54650 | + | 0.0229200i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.36073 | − | 1.39391i | −0.416074 | − | 0.108189i | ||||
\(167\) | −4.32888 | − | 1.57558i | −0.334979 | − | 0.121922i | 0.169054 | − | 0.985607i | \(-0.445929\pi\) |
−0.504033 | + | 0.863684i | \(0.668151\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.05847 | + | 11.6741i | −0.158343 | + | 0.898010i | ||||
\(170\) | −3.52013 | − | 4.94882i | −0.269982 | − | 0.379557i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −17.5833 | − | 6.10627i | −1.34072 | − | 0.465599i | ||||
\(173\) | 2.55462 | + | 7.01876i | 0.194224 | + | 0.533626i | 0.998130 | − | 0.0611306i | \(-0.0194706\pi\) |
−0.803906 | + | 0.594757i | \(0.797248\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −15.8091 | − | 18.8406i | −1.19506 | − | 1.42421i | ||||
\(176\) | −7.58891 | − | 12.2884i | −0.572036 | − | 0.926270i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.37571 | − | 0.270148i | −0.253020 | − | 0.0202484i | ||||
\(179\) | 5.08749 | + | 8.81180i | 0.380257 | + | 0.658625i | 0.991099 | − | 0.133128i | \(-0.0425022\pi\) |
−0.610842 | + | 0.791753i | \(0.709169\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.40432 | − | 14.5567i | 0.624688 | − | 1.08199i | −0.363913 | − | 0.931433i | \(-0.618559\pi\) |
0.988601 | − | 0.150559i | \(-0.0481073\pi\) | |||||||
\(182\) | −2.25096 | + | 3.26594i | −0.166852 | + | 0.242088i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.18886 | − | 0.0774295i | −0.0876440 | − | 0.00570818i | ||||
\(185\) | −2.82142 | + | 0.497492i | −0.207435 | + | 0.0365763i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.62771 | + | 3.13159i | −0.192157 | + | 0.229004i | ||||
\(188\) | −0.333877 | − | 0.386131i | −0.0243505 | − | 0.0281615i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.161536 | − | 0.353226i | 0.0117191 | − | 0.0256257i | ||||
\(191\) | 0.0529445 | + | 0.0444257i | 0.00383093 | + | 0.00321453i | 0.644701 | − | 0.764435i | \(-0.276982\pi\) |
−0.640870 | + | 0.767649i | \(0.721426\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.64409 | + | 26.3379i | 0.334289 | + | 1.89585i | 0.434144 | + | 0.900843i | \(0.357051\pi\) |
−0.0998555 | + | 0.995002i | \(0.531838\pi\) | |||||||
\(194\) | 1.91696 | − | 1.94558i | 0.137630 | − | 0.139685i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.230505 | + | 0.137677i | −0.0164647 | + | 0.00983405i | ||||
\(197\) | −3.87890 | − | 2.23948i | −0.276360 | − | 0.159557i | 0.355414 | − | 0.934709i | \(-0.384340\pi\) |
−0.631774 | + | 0.775152i | \(0.717673\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.51533 | − | 4.91633i | 0.603636 | − | 0.348509i | −0.166835 | − | 0.985985i | \(-0.553355\pi\) |
0.770470 | + | 0.637476i | \(0.220021\pi\) | |||||||
\(200\) | −21.4034 | + | 15.7072i | −1.51345 | + | 1.11067i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.13239 | + | 1.69197i | −0.431473 | + | 0.119046i | ||||
\(203\) | 0.600437 | − | 0.503826i | 0.0421424 | − | 0.0353617i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 35.2980 | − | 12.8474i | 2.46532 | − | 0.897303i | ||||
\(206\) | −0.849030 | − | 8.94091i | −0.0591547 | − | 0.622943i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.36004 | + | 2.65377i | 0.232977 | + | 0.184006i | ||||
\(209\) | −0.257480 | − | 0.0454007i | −0.0178103 | − | 0.00314043i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.53594 | + | 12.4624i | −0.312267 | + | 0.857947i | 0.679931 | + | 0.733276i | \(0.262010\pi\) |
−0.992198 | + | 0.124671i | \(0.960212\pi\) | |||||||
\(212\) | 18.7099 | + | 15.2328i | 1.28500 | + | 1.04619i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −12.6534 | + | 6.01493i | −0.864970 | + | 0.411172i | ||||
\(215\) | 35.2997 | 2.40742 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −18.3077 | −1.24281 | ||||||||
\(218\) | 10.1495 | − | 4.82465i | 0.687408 | − | 0.326766i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 21.2408 | + | 17.2933i | 1.43206 | + | 1.16591i | ||||
\(221\) | 0.414495 | − | 1.13881i | 0.0278819 | − | 0.0766050i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 17.4629 | + | 3.07919i | 1.16940 | + | 0.206198i | 0.724432 | − | 0.689346i | \(-0.242102\pi\) |
0.444973 | + | 0.895544i | \(0.353213\pi\) | |||||||
\(224\) | −6.75751 | − | 13.1924i | −0.451505 | − | 0.881456i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.34717 | − | 14.1867i | −0.0896127 | − | 0.943688i | ||||
\(227\) | 5.66395 | − | 2.06151i | 0.375929 | − | 0.136827i | −0.147143 | − | 0.989115i | \(-0.547008\pi\) |
0.523073 | + | 0.852288i | \(0.324786\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.4367 | + | 11.2747i | −0.887922 | + | 0.745055i | −0.967792 | − | 0.251751i | \(-0.918994\pi\) |
0.0798705 | + | 0.996805i | \(0.474549\pi\) | |||||||
\(230\) | 2.17803 | − | 0.600934i | 0.143615 | − | 0.0396244i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.500580 | − | 0.682114i | −0.0328647 | − | 0.0447830i | ||||
\(233\) | 0.818415 | − | 0.472512i | 0.0536162 | − | 0.0309553i | −0.472952 | − | 0.881088i | \(-0.656812\pi\) |
0.526568 | + | 0.850133i | \(0.323478\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.838375 | + | 0.484036i | 0.0546896 | + | 0.0315750i | ||||
\(236\) | 21.4444 | − | 12.8083i | 1.39591 | − | 0.833750i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.94456 | + | 2.98852i | −0.190867 | + | 0.193717i | ||||
\(239\) | 1.94169 | + | 11.0119i | 0.125598 | + | 0.712300i | 0.980951 | + | 0.194255i | \(0.0622288\pi\) |
−0.855353 | + | 0.518045i | \(0.826660\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.8130 | − | 12.4295i | −0.954187 | − | 0.800658i | 0.0258110 | − | 0.999667i | \(-0.491783\pi\) |
−0.979998 | + | 0.199009i | \(0.936228\pi\) | |||||||
\(242\) | 1.19820 | − | 2.62006i | 0.0770233 | − | 0.168424i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.54392 | + | 9.88109i | 0.546968 | + | 0.632572i | ||||
\(245\) | 0.327298 | − | 0.390058i | 0.0209103 | − | 0.0249199i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0763310 | − | 0.0134592i | 0.00485683 | − | 0.000856389i | ||||
\(248\) | −1.28437 | + | 19.7204i | −0.0815577 | + | 1.25225i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.3521 | − | 19.3727i | 0.844462 | − | 1.22524i | ||||
\(251\) | −3.70756 | + | 6.42169i | −0.234019 | + | 0.405333i | −0.958987 | − | 0.283449i | \(-0.908521\pi\) |
0.724968 | + | 0.688783i | \(0.241855\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.760445 | − | 1.31713i | −0.0478088 | − | 0.0828072i | ||||
\(254\) | 18.0166 | + | 1.44181i | 1.13046 | + | 0.0904674i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.6845 | + | 6.35344i | −0.917780 | + | 0.397090i | ||||
\(257\) | 14.5395 | + | 17.3275i | 0.906949 | + | 1.08086i | 0.996392 | + | 0.0848673i | \(0.0270466\pi\) |
−0.0894438 | + | 0.995992i | \(0.528509\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.676919 | + | 1.85982i | 0.0420617 | + | 0.115564i | ||||
\(260\) | −7.67059 | − | 2.66381i | −0.475710 | − | 0.165203i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.28903 | + | 7.43563i | 0.326757 | + | 0.459375i | ||||
\(263\) | −4.29886 | + | 24.3800i | −0.265079 | + | 1.50334i | 0.503731 | + | 0.863860i | \(0.331960\pi\) |
−0.768810 | + | 0.639477i | \(0.779151\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −42.9961 | − | 15.6493i | −2.64123 | − | 0.961328i | ||||
\(266\) | −0.259689 | − | 0.0675250i | −0.0159225 | − | 0.00414022i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 13.6166 | − | 0.201806i | 0.831768 | − | 0.0123273i | ||||
\(269\) | − | 11.8242i | − | 0.720932i | −0.932772 | − | 0.360466i | \(-0.882618\pi\) | ||
0.932772 | − | 0.360466i | \(-0.117382\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.20136i | 0.315960i | 0.987442 | + | 0.157980i | \(0.0504982\pi\) | ||||
−0.987442 | + | 0.157980i | \(0.949502\pi\) | |||||||
\(272\) | 3.01255 | + | 3.38143i | 0.182663 | + | 0.205029i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.768414 | + | 2.95518i | −0.0464216 | + | 0.178529i | ||||
\(275\) | −31.8474 | − | 11.5915i | −1.92047 | − | 0.698994i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.28253 | + | 7.27359i | −0.0770598 | + | 0.437028i | 0.921729 | + | 0.387834i | \(0.126776\pi\) |
−0.998789 | + | 0.0491944i | \(0.984335\pi\) | |||||||
\(278\) | −8.08271 | + | 5.74930i | −0.484769 | + | 0.344820i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 20.3138 | + | 19.4302i | 1.21398 | + | 1.16118i | ||||
\(281\) | −4.19816 | − | 11.5344i | −0.250441 | − | 0.688082i | −0.999668 | − | 0.0257683i | \(-0.991797\pi\) |
0.749226 | − | 0.662314i | \(-0.230425\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.15737 | + | 8.52982i | 0.425461 | + | 0.507045i | 0.935607 | − | 0.353043i | \(-0.114853\pi\) |
−0.510146 | + | 0.860088i | \(0.670409\pi\) | |||||||
\(284\) | −25.0810 | − | 4.04018i | −1.48828 | − | 0.239741i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.436020 | + | 5.44842i | −0.0257824 | + | 0.322172i | ||||
\(287\) | −12.9749 | − | 22.4732i | −0.765883 | − | 1.32655i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.85908 | + | 13.6123i | −0.462299 | + | 0.800725i | ||||
\(290\) | 1.32117 | + | 0.910580i | 0.0775818 | + | 0.0534711i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.823213 | + | 2.16154i | 0.0481749 | + | 0.126495i | ||||
\(293\) | −22.9154 | + | 4.04060i | −1.33873 | + | 0.236055i | −0.796737 | − | 0.604327i | \(-0.793442\pi\) |
−0.541995 | + | 0.840381i | \(0.682331\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −30.4491 | + | 36.2878i | −1.77282 | + | 2.11276i | ||||
\(296\) | 2.05082 | − | 0.598677i | 0.119201 | − | 0.0347974i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.0027 | + | 6.86101i | 0.869084 | + | 0.397448i | ||||
\(299\) | 0.345389 | + | 0.289816i | 0.0199744 | + | 0.0167605i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.23458 | − | 24.0155i | −0.244077 | − | 1.38423i | ||||
\(302\) | −0.455718 | − | 0.449014i | −0.0262236 | − | 0.0258379i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.0909539 | + | 0.274990i | −0.00521656 | + | 0.0157718i | ||||
\(305\) | −21.4540 | − | 12.3865i | −1.22845 | − | 0.709249i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.7201 | + | 7.34397i | −0.725976 | + | 0.419142i | −0.816948 | − | 0.576711i | \(-0.804336\pi\) |
0.0909723 | + | 0.995853i | \(0.471003\pi\) | |||||||
\(308\) | 9.21711 | − | 16.5253i | 0.525194 | − | 0.941617i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −9.96807 | − | 36.1284i | −0.566148 | − | 2.05195i | ||||
\(311\) | −1.78694 | + | 1.49942i | −0.101328 | + | 0.0850244i | −0.692044 | − | 0.721855i | \(-0.743290\pi\) |
0.590716 | + | 0.806879i | \(0.298845\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.61824 | − | 2.40884i | 0.374085 | − | 0.136156i | −0.148134 | − | 0.988967i | \(-0.547327\pi\) |
0.522219 | + | 0.852811i | \(0.325104\pi\) | |||||||
\(314\) | 25.8919 | − | 2.45870i | 1.46116 | − | 0.138752i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.98422 | − | 15.5713i | −0.167876 | − | 0.875956i | ||||
\(317\) | 1.88259 | + | 0.331952i | 0.105737 | + | 0.0186443i | 0.226266 | − | 0.974065i | \(-0.427348\pi\) |
−0.120529 | + | 0.992710i | \(0.538459\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.369414 | − | 1.01496i | 0.0206832 | − | 0.0568266i | ||||
\(320\) | 22.3546 | − | 20.5182i | 1.24966 | − | 1.14700i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.670113 | − | 1.40969i | −0.0373439 | − | 0.0785592i | ||||
\(323\) | 0.0819820 | 0.00456160 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.0472 | 0.557318 | ||||||||
\(326\) | −13.7144 | − | 28.8506i | −0.759570 | − | 1.59788i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −25.1175 | + | 12.3995i | −1.38688 | + | 0.684647i | ||||
\(329\) | 0.228733 | − | 0.628439i | 0.0126105 | − | 0.0346469i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.64140 | + | 0.994732i | 0.310080 | + | 0.0546754i | 0.326523 | − | 0.945189i | \(-0.394123\pi\) |
−0.0164430 | + | 0.999865i | \(0.505234\pi\) | |||||||
\(332\) | −7.69331 | + | 1.47441i | −0.422225 | + | 0.0809188i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −6.48568 | + | 0.615880i | −0.354880 | + | 0.0336995i | ||||
\(335\) | −24.2688 | + | 8.83311i | −1.32595 | + | 0.482605i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.9033 | − | 13.3444i | 0.866306 | − | 0.726917i | −0.0970109 | − | 0.995283i | \(-0.530928\pi\) |
0.963317 | + | 0.268366i | \(0.0864837\pi\) | |||||||
\(338\) | 4.45882 | + | 16.1606i | 0.242528 | + | 0.879020i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.50078 | − | 4.18361i | −0.406787 | − | 0.226888i | ||||
\(341\) | −21.8481 | + | 12.6140i | −1.18314 | + | 0.683085i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.1891 | − | 9.34678i | −0.874129 | − | 0.504679i | ||||
\(344\) | −26.1657 | + | 2.87654i | −1.41076 | + | 0.155093i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 7.52434 | + | 7.41365i | 0.404511 | + | 0.398561i | ||||
\(347\) | −2.69361 | − | 15.2762i | −0.144601 | − | 0.820071i | −0.967687 | − | 0.252155i | \(-0.918861\pi\) |
0.823086 | − | 0.567917i | \(-0.192250\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −23.0588 | − | 19.3486i | −1.23431 | − | 1.03571i | −0.997947 | − | 0.0640413i | \(-0.979601\pi\) |
−0.236360 | − | 0.971666i | \(-0.575954\pi\) | |||||||
\(350\) | −31.6313 | − | 14.4655i | −1.69076 | − | 0.773215i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −17.1538 | − | 11.0877i | −0.914303 | − | 0.590975i | ||||
\(353\) | −7.20122 | + | 8.58208i | −0.383282 | + | 0.456778i | −0.922847 | − | 0.385166i | \(-0.874144\pi\) |
0.539565 | + | 0.841944i | \(0.318589\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 47.4464 | − | 8.36609i | 2.51820 | − | 0.444026i | ||||
\(356\) | −4.47565 | + | 1.70453i | −0.237209 | + | 0.0903398i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.8481 | + | 8.16597i | 0.626192 | + | 0.431585i | ||||
\(359\) | 9.95142 | − | 17.2364i | 0.525216 | − | 0.909701i | −0.474353 | − | 0.880335i | \(-0.657318\pi\) |
0.999569 | − | 0.0293659i | \(-0.00934879\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.49738 | − | 16.4499i | −0.499862 | − | 0.865786i | ||||
\(362\) | 1.89626 | − | 23.6953i | 0.0996651 | − | 1.24539i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.892107 | + | 5.53810i | −0.0467591 | + | 0.290275i | ||||
\(365\) | −2.81960 | − | 3.36027i | −0.147585 | − | 0.175884i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.14389 | − | 14.1327i | −0.268509 | − | 0.737722i | −0.998525 | − | 0.0542921i | \(-0.982710\pi\) |
0.730016 | − | 0.683430i | \(-0.239512\pi\) | |||||||
\(368\) | −1.56548 | + | 0.622924i | −0.0816065 | + | 0.0324722i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.30160 | + | 2.34845i | −0.171642 | + | 0.122090i | ||||
\(371\) | −5.48886 | + | 31.1289i | −0.284968 | + | 1.61613i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 25.1757 | + | 9.16321i | 1.30355 | + | 0.474453i | 0.898151 | − | 0.439688i | \(-0.144911\pi\) |
0.405398 | + | 0.914140i | \(0.367133\pi\) | |||||||
\(374\) | −1.45489 | + | 5.59524i | −0.0752306 | + | 0.289323i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.660885 | − | 0.290471i | −0.0340825 | − | 0.0149799i | ||||
\(377\) | 0.320198i | 0.0164910i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.1769i | 0.882321i | 0.897428 | + | 0.441160i | \(0.145433\pi\) | ||||
−0.897428 | + | 0.441160i | \(0.854567\pi\) | |||||||
\(380\) | −0.00813997 | − | 0.549234i | −0.000417572 | − | 0.0281751i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.0945966 | + | 0.0245973i | 0.00483998 | + | 0.00125851i | ||||
\(383\) | 33.8259 | + | 12.3116i | 1.72842 | + | 0.629095i | 0.998516 | − | 0.0544509i | \(-0.0173408\pi\) |
0.729908 | + | 0.683546i | \(0.239563\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.23134 | + | 35.3397i | −0.317579 | + | 1.80108i | ||||
\(386\) | 21.9228 | + | 30.8204i | 1.11584 | + | 1.56872i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.26717 | − | 3.64888i | 0.0643308 | − | 0.185244i | ||||
\(389\) | 11.0897 | + | 30.4688i | 0.562271 | + | 1.54483i | 0.816298 | + | 0.577631i | \(0.196023\pi\) |
−0.254027 | + | 0.967197i | \(0.581755\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.306543 | + | 0.365323i | 0.0155025 | + | 0.0184752i | ||||
\(392\) | −0.210822 | + | 0.315800i | −0.0106481 | + | 0.0159503i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.31403 | − | 0.505292i | −0.318096 | − | 0.0254563i | ||||
\(395\) | 15.0340 | + | 26.0396i | 0.756441 | + | 1.31019i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.13398 | + | 15.8205i | −0.458421 | + | 0.794009i | −0.998878 | − | 0.0473630i | \(-0.984918\pi\) |
0.540456 | + | 0.841372i | \(0.318252\pi\) | |||||||
\(398\) | 7.89123 | − | 11.4495i | 0.395552 | − | 0.573911i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.8008 | + | 33.0572i | −0.890042 | + | 1.65286i | ||||
\(401\) | −18.1056 | + | 3.19251i | −0.904152 | + | 0.159426i | −0.606347 | − | 0.795200i | \(-0.707366\pi\) |
−0.297805 | + | 0.954627i | \(0.596255\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.80736 | − | 5.72919i | 0.239472 | − | 0.285391i | ||||
\(404\) | −6.80530 | + | 5.88436i | −0.338576 | + | 0.292758i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.461007 | − | 1.00807i | 0.0228794 | − | 0.0500296i | ||||
\(407\) | 2.08923 | + | 1.75307i | 0.103559 | + | 0.0868967i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.54225 | − | 14.4178i | −0.125706 | − | 0.712914i | −0.980886 | − | 0.194583i | \(-0.937665\pi\) |
0.855180 | − | 0.518331i | \(-0.173447\pi\) | |||||||
\(410\) | 37.2840 | − | 37.8407i | 1.84133 | − | 1.86882i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.51292 | − | 10.9043i | −0.320869 | − | 0.537215i | ||||
\(413\) | 28.3405 | + | 16.3624i | 1.39454 | + | 0.805140i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.8654 | − | 7.42781i | 0.631535 | − | 0.364617i | ||||
\(416\) | 5.90285 | + | 1.34947i | 0.289411 | + | 0.0661631i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.356432 | + | 0.0983420i | −0.0174336 | + | 0.00481006i | ||||
\(419\) | 5.75834 | − | 4.83182i | 0.281313 | − | 0.236050i | −0.491203 | − | 0.871045i | \(-0.663443\pi\) |
0.772516 | + | 0.634996i | \(0.218998\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.2535 | + | 5.91580i | −0.792149 | + | 0.288319i | −0.706229 | − | 0.707984i | \(-0.749605\pi\) |
−0.0859197 | + | 0.996302i | \(0.527383\pi\) | |||||||
\(422\) | 1.77306 | + | 18.6716i | 0.0863111 | + | 0.908920i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 33.1458 | + | 8.09624i | 1.60970 | + | 0.393188i | ||||
\(425\) | 10.4656 | + | 1.84537i | 0.507657 | + | 0.0895137i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.85328 | + | 16.0818i | −0.283260 | + | 0.778251i | ||||
\(428\) | −12.5096 | + | 15.3651i | −0.604673 | + | 0.742701i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 45.0865 | − | 21.4323i | 2.17427 | − | 1.03356i | ||||
\(431\) | −22.9632 | −1.10610 | −0.553050 | − | 0.833148i | \(-0.686536\pi\) | ||||
−0.553050 | + | 0.833148i | \(0.686536\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.94287 | −0.141425 | −0.0707126 | − | 0.997497i | \(-0.522527\pi\) | ||||
−0.0707126 | + | 0.997497i | \(0.522527\pi\) | |||||||
\(434\) | −23.3835 | + | 11.1156i | −1.12244 | + | 0.533565i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 10.0341 | − | 12.3246i | 0.480546 | − | 0.590239i | ||||
\(437\) | −0.0104318 | + | 0.0286610i | −0.000499019 | + | 0.00137104i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −35.9702 | − | 6.34252i | −1.71676 | − | 0.302712i | −0.773264 | − | 0.634084i | \(-0.781377\pi\) |
−0.943500 | + | 0.331372i | \(0.892489\pi\) | |||||||
\(440\) | 37.6295 | + | 9.19142i | 1.79392 | + | 0.438184i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.162022 | − | 1.70621i | −0.00770660 | − | 0.0811562i | ||||
\(443\) | 25.7106 | − | 9.35788i | 1.22155 | − | 0.444606i | 0.350852 | − | 0.936431i | \(-0.385892\pi\) |
0.870694 | + | 0.491825i | \(0.163670\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.95770 | − | 5.83820i | 0.329827 | − | 0.276757i | ||||
\(446\) | 24.1741 | − | 6.66979i | 1.14467 | − | 0.315824i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.6409 | − | 12.7472i | −0.786206 | − | 0.602247i | ||||
\(449\) | 10.4394 | − | 6.02718i | 0.492665 | − | 0.284440i | −0.233014 | − | 0.972473i | \(-0.574859\pi\) |
0.725679 | + | 0.688033i | \(0.241526\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −30.9679 | − | 17.8794i | −1.45822 | − | 0.841906i | ||||
\(452\) | −10.3342 | − | 17.3021i | −0.486080 | − | 0.813820i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.98262 | − | 6.07194i | 0.280778 | − | 0.284970i | ||||
\(455\) | −1.84730 | − | 10.4766i | −0.0866030 | − | 0.491150i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.1847 | + | 10.2241i | 0.569974 | + | 0.478265i | 0.881637 | − | 0.471927i | \(-0.156442\pi\) |
−0.311663 | + | 0.950193i | \(0.600886\pi\) | |||||||
\(458\) | −10.3165 | + | 22.5588i | −0.482059 | + | 1.05410i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.41703 | − | 2.08994i | 0.112695 | − | 0.0974440i | ||||
\(461\) | 9.40166 | − | 11.2045i | 0.437879 | − | 0.521844i | −0.501299 | − | 0.865274i | \(-0.667144\pi\) |
0.939178 | + | 0.343430i | \(0.111589\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.4128 | − | 3.42301i | 0.902191 | − | 0.159081i | 0.296735 | − | 0.954960i | \(-0.404102\pi\) |
0.605456 | + | 0.795879i | \(0.292991\pi\) | |||||||
\(464\) | −1.05351 | − | 0.567301i | −0.0489081 | − | 0.0263363i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.758433 | − | 1.10042i | 0.0351337 | − | 0.0509759i | ||||
\(467\) | 18.2329 | − | 31.5803i | 0.843718 | − | 1.46136i | −0.0430124 | − | 0.999075i | \(-0.513696\pi\) |
0.886730 | − | 0.462287i | \(-0.152971\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.92075 | + | 15.4512i | 0.411922 | + | 0.713470i | ||||
\(470\) | 1.36470 | + | 0.109213i | 0.0629488 | + | 0.00503760i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 19.6132 | − | 29.3794i | 0.902769 | − | 1.35230i | ||||
\(473\) | −21.6001 | − | 25.7420i | −0.993175 | − | 1.18362i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.232460 | + | 0.638678i | 0.0106660 | + | 0.0293045i | ||||
\(476\) | −1.94644 | + | 5.60489i | −0.0892151 | + | 0.256900i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.16592 | + | 12.8860i | 0.419240 | + | 0.589392i | ||||
\(479\) | −1.10609 | + | 6.27294i | −0.0505384 | + | 0.286618i | −0.999594 | − | 0.0284909i | \(-0.990930\pi\) |
0.949056 | + | 0.315109i | \(0.102041\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.759759 | − | 0.276530i | −0.0346420 | − | 0.0126087i | ||||
\(482\) | −26.4665 | − | 6.88189i | −1.20552 | − | 0.313462i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.0603785 | − | 4.07397i | −0.00274448 | − | 0.185180i | ||||
\(485\) | 7.32538i | 0.332628i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 31.5578i | − | 1.43002i | −0.699115 | − | 0.715009i | \(-0.746423\pi\) | ||
0.699115 | − | 0.715009i | \(-0.253577\pi\) | |||||||
\(488\) | 16.9120 | + | 7.43315i | 0.765572 | + | 0.336483i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.181216 | − | 0.696921i | 0.00818648 | − | 0.0314837i | ||||
\(491\) | −25.0585 | − | 9.12054i | −1.13087 | − | 0.411604i | −0.292264 | − | 0.956338i | \(-0.594409\pi\) |
−0.838609 | + | 0.544734i | \(0.816631\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.0588108 | + | 0.333533i | −0.00264871 | + | 0.0150216i | ||||
\(494\) | 0.0893219 | − | 0.0635354i | 0.00401878 | − | 0.00285859i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10.3328 | + | 25.9677i | 0.463958 | + | 1.16598i | ||||
\(497\) | −11.3834 | − | 31.2757i | −0.510617 | − | 1.40291i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.4331 | + | 17.2006i | 0.646112 | + | 0.770007i | 0.985322 | − | 0.170704i | \(-0.0546042\pi\) |
−0.339210 | + | 0.940711i | \(0.610160\pi\) | |||||||
\(500\) | 5.29175 | − | 32.8506i | 0.236654 | − | 1.46912i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.836533 | + | 10.4532i | −0.0373363 | + | 0.466547i | ||||
\(503\) | 13.0818 | + | 22.6583i | 0.583287 | + | 1.01028i | 0.995087 | + | 0.0990084i | \(0.0315671\pi\) |
−0.411799 | + | 0.911274i | \(0.635100\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.53082 | − | 14.7758i | 0.379617 | − | 0.657515i | ||||
\(506\) | −1.77098 | − | 1.22060i | −0.0787295 | − | 0.0542621i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 23.8871 | − | 9.09728i | 1.05982 | − | 0.403627i | ||||
\(509\) | 28.8191 | − | 5.08158i | 1.27738 | − | 0.225237i | 0.506515 | − | 0.862231i | \(-0.330934\pi\) |
0.770869 | + | 0.636994i | \(0.219822\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.94785 | + | 2.32136i | −0.0861680 | + | 0.102691i | ||||
\(512\) | −14.8982 | + | 17.0306i | −0.658415 | + | 0.752655i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 29.0910 | + | 13.3038i | 1.28315 | + | 0.586806i | ||||
\(515\) | 18.4521 | + | 15.4831i | 0.813095 | + | 0.682268i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.160028 | − | 0.907563i | −0.00703801 | − | 0.0399146i | ||||
\(518\) | 1.99379 | + | 1.96446i | 0.0876020 | + | 0.0863133i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −11.4146 | + | 1.25487i | −0.500563 | + | 0.0550296i | ||||
\(521\) | 12.2522 | + | 7.07379i | 0.536777 | + | 0.309909i | 0.743772 | − | 0.668434i | \(-0.233035\pi\) |
−0.206995 | + | 0.978342i | \(0.566368\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.35440 | + | 4.24607i | −0.321586 | + | 0.185668i | −0.652099 | − | 0.758134i | \(-0.726111\pi\) |
0.330513 | + | 0.943801i | \(0.392778\pi\) | |||||||
\(524\) | 11.2700 | + | 6.28591i | 0.492331 | + | 0.274601i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.31170 | + | 33.7494i | 0.406010 | + | 1.47155i | ||||
\(527\) | 6.05985 | − | 5.08482i | 0.263971 | − | 0.221498i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.4462 | − | 7.80578i | 0.932444 | − | 0.339382i | ||||
\(530\) | −64.4182 | + | 6.11716i | −2.79815 | + | 0.265712i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.372685 | + | 0.0714245i | −0.0161579 | + | 0.00309664i | ||||
\(533\) | 10.4398 | + | 1.84081i | 0.452196 | + | 0.0797343i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 12.8516 | − | 35.3096i | 0.555625 | − | 1.52657i | ||||
\(536\) | 17.2693 | − | 8.52513i | 0.745920 | − | 0.368230i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −7.17907 | − | 15.1024i | −0.309512 | − | 0.651110i | ||||
\(539\) | −0.484722 | −0.0208785 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −26.2456 | −1.12839 | −0.564194 | − | 0.825642i | \(-0.690813\pi\) | ||||
−0.564194 | + | 0.825642i | \(0.690813\pi\) | |||||||
\(542\) | 3.15802 | + | 6.64343i | 0.135649 | + | 0.285360i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.90083 | + | 2.48985i | 0.252996 | + | 0.106751i | ||||
\(545\) | −10.3085 | + | 28.3223i | −0.441566 | + | 1.21319i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 29.4440 | + | 5.19178i | 1.25894 | + | 0.221984i | 0.763014 | − | 0.646382i | \(-0.223719\pi\) |
0.495923 | + | 0.868367i | \(0.334830\pi\) | |||||||
\(548\) | 0.812789 | + | 4.24104i | 0.0347206 | + | 0.181168i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −47.7149 | + | 4.53101i | −2.03457 | + | 0.193203i | ||||
\(551\) | −0.0203543 | + | 0.00740834i | −0.000867121 | + | 0.000315606i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 15.9121 | − | 13.3518i | 0.676650 | − | 0.567777i | ||||
\(554\) | 2.77807 | + | 10.0689i | 0.118029 | + | 0.427786i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.83293 | + | 12.2507i | −0.289781 | + | 0.519547i | ||||
\(557\) | −12.1389 | + | 7.00840i | −0.514342 | + | 0.296955i | −0.734617 | − | 0.678482i | \(-0.762638\pi\) |
0.220275 | + | 0.975438i | \(0.429305\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.62733 | + | 4.98099i | 0.364897 | + | 0.210673i | ||||
\(560\) | 37.7429 | + | 12.4836i | 1.59493 | + | 0.527528i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −12.3652 | − | 12.1833i | −0.521595 | − | 0.513922i | ||||
\(563\) | −8.08075 | − | 45.8282i | −0.340563 | − | 1.93143i | −0.363263 | − | 0.931687i | \(-0.618337\pi\) |
0.0226998 | − | 0.999742i | \(-0.492774\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 29.2783 | + | 24.5674i | 1.23175 | + | 1.03356i | ||||
\(566\) | 14.3206 | + | 6.54908i | 0.601942 | + | 0.275279i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −34.4877 | + | 10.0677i | −1.44707 | + | 0.422430i | ||||
\(569\) | 8.80061 | − | 10.4882i | 0.368941 | − | 0.439686i | −0.549350 | − | 0.835592i | \(-0.685125\pi\) |
0.918291 | + | 0.395906i | \(0.129569\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −41.0075 | + | 7.23074i | −1.71611 | + | 0.302597i | −0.943276 | − | 0.332009i | \(-0.892274\pi\) |
−0.772836 | + | 0.634606i | \(0.781163\pi\) | |||||||
\(572\) | 2.75112 | + | 7.22371i | 0.115030 | + | 0.302039i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −30.2168 | − | 20.8261i | −1.26123 | − | 0.869264i | ||||
\(575\) | −1.97684 | + | 3.42398i | −0.0824398 | + | 0.142790i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.9468 | + | 20.6925i | 0.497352 | + | 0.861439i | 0.999995 | − | 0.00305510i | \(-0.000972470\pi\) |
−0.502643 | + | 0.864494i | \(0.667639\pi\) | |||||||
\(578\) | −1.77323 | + | 22.1580i | −0.0737568 | + | 0.921651i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.24033 | + | 0.360884i | 0.0930245 | + | 0.0149849i | ||||
\(581\) | −6.59671 | − | 7.86166i | −0.273678 | − | 0.326157i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.8975 | + | 40.9304i | 0.616990 | + | 1.69516i | ||||
\(584\) | 2.36384 | + | 2.26101i | 0.0978162 | + | 0.0935614i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.8154 | + | 19.0740i | −1.10773 | + | 0.787940i | ||||
\(587\) | 2.47759 | − | 14.0511i | 0.102261 | − | 0.579952i | −0.890018 | − | 0.455926i | \(-0.849308\pi\) |
0.992279 | − | 0.124026i | \(-0.0395807\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.475418 | + | 0.173038i | 0.0195893 | + | 0.00712991i | ||||
\(590\) | −16.8588 | + | 64.8359i | −0.694067 | + | 2.66925i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.25592 | − | 2.00982i | 0.0927176 | − | 0.0826031i | ||||
\(593\) | − | 15.2762i | − | 0.627320i | −0.949535 | − | 0.313660i | \(-0.898445\pi\) | ||
0.949535 | − | 0.313660i | \(-0.101555\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 11.2522i | − | 0.461295i | ||||||
\(596\) | 23.3279 | − | 0.345733i | 0.955548 | − | 0.0141618i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.617110 | + | 0.160463i | 0.0252355 | + | 0.00656182i | ||||
\(599\) | −14.3465 | − | 5.22168i | −0.586180 | − | 0.213352i | 0.0318684 | − | 0.999492i | \(-0.489854\pi\) |
−0.618048 | + | 0.786140i | \(0.712076\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.19286 | − | 40.7927i | 0.293403 | − | 1.66397i | −0.380220 | − | 0.924896i | \(-0.624152\pi\) |
0.673623 | − | 0.739075i | \(-0.264737\pi\) | |||||||
\(602\) | −19.9897 | − | 28.1028i | −0.814720 | − | 1.14538i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.854686 | − | 0.296812i | −0.0347767 | − | 0.0120771i | ||||
\(605\) | 2.64278 | + | 7.26099i | 0.107444 | + | 0.295201i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 8.26489 | + | 9.84971i | 0.335461 | + | 0.399787i | 0.907235 | − | 0.420624i | \(-0.138189\pi\) |
−0.571774 | + | 0.820411i | \(0.693744\pi\) | |||||||
\(608\) | 0.0507902 | + | 0.406453i | 0.00205982 | + | 0.0164839i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −34.9226 | − | 2.79475i | −1.41398 | − | 0.113156i | ||||
\(611\) | 0.136600 | + | 0.236599i | 0.00552626 | + | 0.00957177i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.8003 | + | 27.3670i | −0.638170 | + | 1.10534i | 0.347664 | + | 0.937619i | \(0.386975\pi\) |
−0.985834 | + | 0.167723i | \(0.946358\pi\) | |||||||
\(614\) | −11.7879 | + | 17.1031i | −0.475719 | + | 0.690227i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.73915 | − | 26.7031i | 0.0700724 | − | 1.07590i | ||||
\(617\) | 32.9384 | − | 5.80793i | 1.32605 | − | 0.233819i | 0.534628 | − | 0.845088i | \(-0.320452\pi\) |
0.791423 | + | 0.611269i | \(0.209341\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 21.1853 | − | 25.2477i | 0.851511 | − | 1.01479i | −0.148155 | − | 0.988964i | \(-0.547334\pi\) |
0.999666 | − | 0.0258272i | \(-0.00822196\pi\) | |||||||
\(620\) | −34.6672 | − | 40.0928i | −1.39227 | − | 1.61017i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1.37199 | + | 3.00008i | −0.0550118 | + | 0.120292i | ||||
\(623\) | −4.80656 | − | 4.03319i | −0.192571 | − | 0.161586i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.80815 | + | 15.9258i | 0.112326 | + | 0.637032i | ||||
\(626\) | 6.99061 | − | 7.09498i | 0.279401 | − | 0.283572i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 31.5776 | − | 18.8607i | 1.26008 | − | 0.752624i | ||||
\(629\) | −0.740610 | − | 0.427591i | −0.0295300 | − | 0.0170492i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.5759 | − | 6.10598i | 0.421018 | − | 0.243075i | −0.274495 | − | 0.961589i | \(-0.588511\pi\) |
0.695513 | + | 0.718514i | \(0.255177\pi\) | |||||||
\(632\) | −13.2658 | − | 18.0766i | −0.527684 | − | 0.719048i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.60608 | − | 0.719037i | 0.103501 | − | 0.0285566i | ||||
\(635\) | −37.1341 | + | 31.1592i | −1.47362 | + | 1.23652i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.135032 | − | 0.0491475i | 0.00535015 | − | 0.00194729i | ||||
\(638\) | −0.144400 | − | 1.52064i | −0.00571686 | − | 0.0602028i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 16.0947 | − | 39.7795i | 0.636200 | − | 1.57242i | ||||
\(641\) | 2.91455 | + | 0.513915i | 0.115118 | + | 0.0202984i | 0.230910 | − | 0.972975i | \(-0.425830\pi\) |
−0.115792 | + | 0.993273i | \(0.536941\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.28689 | − | 3.53570i | 0.0507499 | − | 0.139434i | −0.911728 | − | 0.410795i | \(-0.865251\pi\) |
0.962478 | + | 0.271360i | \(0.0874735\pi\) | |||||||
\(644\) | −1.71180 | − | 1.39367i | −0.0674544 | − | 0.0549183i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.104711 | − | 0.0497756i | 0.00411982 | − | 0.00195840i | ||||
\(647\) | −17.3248 | −0.681109 | −0.340555 | − | 0.940225i | \(-0.610615\pi\) | ||||
−0.340555 | + | 0.940225i | \(0.610615\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 45.0946 | 1.77012 | ||||||||
\(650\) | 12.8328 | − | 6.10019i | 0.503343 | − | 0.239269i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −35.0334 | − | 28.5226i | −1.37201 | − | 1.11703i | ||||
\(653\) | −7.83529 | + | 21.5273i | −0.306619 | + | 0.842428i | 0.686691 | + | 0.726949i | \(0.259062\pi\) |
−0.993310 | + | 0.115479i | \(0.963160\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −24.1010 | − | 4.24967i | −0.941706 | − | 0.166048i | ||||
\(656\) | −24.5530 | + | 31.0874i | −0.958632 | + | 1.21376i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.0894096 | − | 0.941549i | −0.00348555 | − | 0.0367054i | ||||
\(659\) | −29.5497 | + | 10.7552i | −1.15109 | + | 0.418963i | −0.845907 | − | 0.533331i | \(-0.820940\pi\) |
−0.305184 | + | 0.952293i | \(0.598718\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.3401 | + | 9.51547i | −0.441079 | + | 0.370109i | −0.836113 | − | 0.548557i | \(-0.815177\pi\) |
0.395034 | + | 0.918666i | \(0.370733\pi\) | |||||||
\(662\) | 7.80943 | − | 2.15468i | 0.303522 | − | 0.0837439i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −8.93108 | + | 6.55421i | −0.346593 | + | 0.254353i | ||||
\(665\) | 0.623232 | − | 0.359823i | 0.0241679 | − | 0.0139534i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.109120 | − | 0.0630006i | −0.00422515 | − | 0.00243939i | ||||
\(668\) | −7.90989 | + | 4.72443i | −0.306043 | + | 0.182794i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −25.6342 | + | 26.0170i | −0.990336 | + | 1.00512i | ||||
\(671\) | 4.09511 | + | 23.2245i | 0.158090 | + | 0.896574i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.38737 | − | 5.35964i | −0.246215 | − | 0.206599i | 0.511325 | − | 0.859387i | \(-0.329155\pi\) |
−0.757540 | + | 0.652788i | \(0.773599\pi\) | |||||||
\(674\) | 12.2103 | − | 26.6999i | 0.470324 | − | 1.02844i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.5070 | + | 17.9339i | 0.596422 | + | 0.689765i | ||||
\(677\) | 26.9751 | − | 32.1477i | 1.03674 | − | 1.23553i | 0.0653922 | − | 0.997860i | \(-0.479170\pi\) |
0.971345 | − | 0.237675i | \(-0.0763854\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.98369 | − | 0.878759i | 0.191256 | − | 0.0337237i | ||||
\(680\) | −12.1205 | − | 0.789394i | −0.464798 | − | 0.0302719i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −20.2468 | + | 29.3763i | −0.775290 | + | 1.12488i | ||||
\(683\) | −8.40955 | + | 14.5658i | −0.321782 | + | 0.557344i | −0.980856 | − | 0.194735i | \(-0.937615\pi\) |
0.659073 | + | 0.752079i | \(0.270949\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.09468 | − | 7.09220i | −0.156450 | − | 0.270979i | ||||
\(686\) | −26.3524 | − | 2.10890i | −1.00614 | − | 0.0805184i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −31.6736 | + | 19.5607i | −1.20755 | + | 0.745743i | ||||
\(689\) | −8.30013 | − | 9.89171i | −0.316210 | − | 0.376844i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.0161 | − | 30.2664i | −0.419071 | − | 1.15139i | −0.952232 | − | 0.305374i | \(-0.901218\pi\) |
0.533161 | − | 0.846014i | \(-0.321004\pi\) | |||||||
\(692\) | 14.1117 | + | 4.90065i | 0.536446 | + | 0.186295i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.7154 | − | 17.8761i | −0.482671 | − | 0.678568i | ||||
\(695\) | 4.61949 | − | 26.1984i | 0.175227 | − | 0.993763i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.5364 | + | 3.83495i | 0.399096 | + | 0.145259i | ||||
\(698\) | −41.1993 | − | 10.7128i | −1.55942 | − | 0.405485i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −49.1838 | + | 0.728932i | −1.85897 | + | 0.0275510i | ||||
\(701\) | − | 22.5259i | − | 0.850790i | −0.905008 | − | 0.425395i | \(-0.860135\pi\) | ||
0.905008 | − | 0.425395i | \(-0.139865\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 0.0546942i | − | 0.00206283i | ||||||
\(704\) | −28.6416 | − | 3.74670i | −1.07947 | − | 0.141209i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.98711 | + | 15.3337i | −0.150057 | + | 0.577091i | ||||
\(707\) | −11.0758 | − | 4.03127i | −0.416549 | − | 0.151611i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.33870 | + | 7.59217i | −0.0502761 | + | 0.285130i | −0.999572 | − | 0.0292540i | \(-0.990687\pi\) |
0.949296 | + | 0.314384i | \(0.101798\pi\) | |||||||
\(710\) | 55.5214 | − | 39.4928i | 2.08368 | − | 1.48214i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.68161 | + | 4.89451i | −0.175451 | + | 0.183430i | ||||
\(713\) | 1.00658 | + | 2.76555i | 0.0376966 | + | 0.103571i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.42288 | − | 11.2298i | −0.352396 | − | 0.419969i | ||||
\(716\) | 20.0910 | + | 3.23636i | 0.750835 | + | 0.120949i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.24533 | − | 28.0572i | 0.0837949 | − | 1.04708i | ||||
\(719\) | −9.44892 | − | 16.3660i | −0.352385 | − | 0.610349i | 0.634282 | − | 0.773102i | \(-0.281296\pi\) |
−0.986667 | + | 0.162753i | \(0.947963\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.32013 | − | 14.4109i | 0.309858 | − | 0.536690i | ||||
\(722\) | −22.1182 | − | 15.2443i | −0.823152 | − | 0.567334i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.9647 | − | 31.4161i | −0.444663 | − | 1.16757i | ||||
\(725\) | −2.76513 | + | 0.487568i | −0.102695 | + | 0.0181078i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.0555 | + | 16.7507i | −0.521289 | + | 0.621248i | −0.960885 | − | 0.276947i | \(-0.910677\pi\) |
0.439596 | + | 0.898196i | \(0.355122\pi\) | |||||||
\(728\) | 2.22303 | + | 7.61517i | 0.0823910 | + | 0.282237i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.64153 | − | 2.57997i | −0.208802 | − | 0.0954890i | ||||
\(731\) | 8.07177 | + | 6.77302i | 0.298545 | + | 0.250509i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.02175 | − | 17.1372i | −0.111611 | − | 0.632977i | −0.988373 | − | 0.152052i | \(-0.951412\pi\) |
0.876762 | − | 0.480925i | \(-0.159699\pi\) | |||||||
\(734\) | −15.1507 | − | 14.9279i | −0.559224 | − | 0.550998i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.62130 | + | 1.74612i | −0.0597620 | + | 0.0643628i | ||||
\(737\) | 21.2917 | + | 12.2928i | 0.784289 | + | 0.452810i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −24.7291 | + | 14.2773i | −0.909674 | + | 0.525201i | −0.880326 | − | 0.474369i | \(-0.842676\pi\) |
−0.0293479 | + | 0.999569i | \(0.509343\pi\) | |||||||
\(740\) | −2.79109 | + | 5.00413i | −0.102603 | + | 0.183956i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 11.8894 | + | 43.0919i | 0.436472 | + | 1.58195i | ||||
\(743\) | 24.1483 | − | 20.2629i | 0.885917 | − | 0.743373i | −0.0814700 | − | 0.996676i | \(-0.525961\pi\) |
0.967387 | + | 0.253303i | \(0.0815170\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −41.5771 | + | 15.1328i | −1.52327 | + | 0.554424i | ||||
\(746\) | 37.7191 | − | 3.58181i | 1.38099 | − | 0.131139i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.53891 | + | 8.02986i | 0.0562681 | + | 0.293601i | ||||
\(749\) | −25.5639 | − | 4.50761i | −0.934086 | − | 0.164705i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.89995 | + | 27.1999i | −0.361254 | + | 0.992538i | 0.617332 | + | 0.786703i | \(0.288213\pi\) |
−0.978587 | + | 0.205836i | \(0.934009\pi\) | |||||||
\(752\) | −1.02047 | + | 0.0302547i | −0.0372129 | + | 0.00110327i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.194409 | + | 0.408972i | 0.00707996 | + | 0.0148939i | ||||
\(755\) | 1.71584 | 0.0624458 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.58739 | 0.312114 | 0.156057 | − | 0.987748i | \(-0.450122\pi\) | ||||
0.156057 | + | 0.987748i | \(0.450122\pi\) | |||||||
\(758\) | 10.4290 | + | 21.9392i | 0.378800 | + | 0.796869i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.343866 | − | 0.696567i | −0.0124733 | − | 0.0252671i | ||||
\(761\) | 4.64163 | − | 12.7528i | 0.168259 | − | 0.462287i | −0.826691 | − | 0.562655i | \(-0.809780\pi\) |
0.994950 | + | 0.100368i | \(0.0320020\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 20.5052 | + | 3.61561i | 0.742336 | + | 0.130894i | ||||
\(764\) | 0.135758 | − | 0.0260178i | 0.00491154 | − | 0.000941289i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 50.6792 | − | 4.81250i | 1.83111 | − | 0.173883i | ||||
\(767\) | −12.5622 | + | 4.57228i | −0.453596 | + | 0.165096i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.9731 | + | 19.2767i | −0.828432 | + | 0.695137i | −0.954930 | − | 0.296830i | \(-0.904071\pi\) |
0.126499 | + | 0.991967i | \(0.459626\pi\) | |||||||
\(770\) | 13.4976 | + | 48.9210i | 0.486421 | + | 1.76299i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 46.7136 | + | 26.0548i | 1.68126 | + | 0.937734i | ||||
\(773\) | 4.59241 | − | 2.65143i | 0.165177 | − | 0.0953652i | −0.415132 | − | 0.909761i | \(-0.636265\pi\) |
0.580310 | + | 0.814396i | \(0.302931\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 56.7958 | + | 32.7911i | 2.04016 | + | 1.17789i | ||||
\(776\) | −0.596938 | − | 5.42990i | −0.0214288 | − | 0.194922i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 32.6635 | + | 32.1830i | 1.17104 | + | 1.15382i | ||||
\(779\) | 0.124526 | + | 0.706222i | 0.00446161 | + | 0.0253030i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −35.1337 | − | 29.4806i | −1.25718 | − | 1.05490i | ||||
\(782\) | 0.613339 | + | 0.280491i | 0.0219329 | + | 0.0100303i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.0775336 | + | 0.531356i | −0.00276906 | + | 0.0189770i | ||||
\(785\) | −44.8374 | + | 53.4351i | −1.60032 | + | 1.90718i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.5184 | + | 3.79428i | −0.767048 | + | 0.135251i | −0.543463 | − | 0.839433i | \(-0.682887\pi\) |
−0.223585 | + | 0.974684i | \(0.571776\pi\) | |||||||
\(788\) | −8.37138 | + | 3.18820i | −0.298218 | + | 0.113575i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 35.0121 | + | 24.1311i | 1.24568 | + | 0.858547i | ||||
\(791\) | 13.2017 | − | 22.8661i | 0.469400 | − | 0.813024i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.49561 | − | 6.05457i | −0.124133 | − | 0.215004i | ||||
\(794\) | −2.06089 | + | 25.7525i | −0.0731382 | + | 0.913921i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.12748 | − | 19.4150i | 0.110851 | − | 0.688147i | ||||
\(797\) | −1.65407 | − | 1.97124i | −0.0585902 | − | 0.0698251i | 0.735953 | − | 0.677032i | \(-0.236734\pi\) |
−0.794544 | + | 0.607207i | \(0.792290\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.0988332 | + | 0.271542i | 0.00349647 | + | 0.00960646i | ||||
\(800\) | −2.66529 | + | 53.0301i | −0.0942324 | + | 1.87490i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −21.1871 | + | 15.0705i | −0.748141 | + | 0.532159i | ||||
\(803\) | −0.725116 | + | 4.11234i | −0.0255888 | + | 0.145121i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.93378 | + | 1.43178i | 0.138648 | + | 0.0504636i | ||||
\(806\) | 2.66170 | − | 10.2364i | 0.0937544 | − | 0.360562i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.11936 | + | 11.6477i | −0.180098 | + | 0.409763i | ||||
\(809\) | − | 41.7773i | − | 1.46881i | −0.678710 | − | 0.734407i | \(-0.737461\pi\) | ||
0.678710 | − | 0.734407i | \(-0.262539\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 49.5187i | 1.73884i | 0.494077 | + | 0.869418i | \(0.335506\pi\) | ||||
−0.494077 | + | 0.869418i | \(0.664494\pi\) | |||||||
\(812\) | −0.0232306 | − | 1.56746i | −0.000815234 | − | 0.0550069i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.73286 | + | 0.970629i | 0.130837 | + | 0.0340205i | ||||
\(815\) | 80.5081 | + | 29.3025i | 2.82007 | + | 1.02642i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.117022 | + | 0.663664i | −0.00409408 | + | 0.0232187i | ||||
\(818\) | −12.0009 | − | 16.8716i | −0.419601 | − | 0.589901i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 24.6459 | − | 70.9690i | 0.860671 | − | 2.47835i | ||||
\(821\) | −4.28022 | − | 11.7598i | −0.149381 | − | 0.410420i | 0.842322 | − | 0.538975i | \(-0.181188\pi\) |
−0.991702 | + | 0.128555i | \(0.958966\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.52799 | + | 4.20450i | 0.122978 | + | 0.146560i | 0.824020 | − | 0.566560i | \(-0.191726\pi\) |
−0.701042 | + | 0.713120i | \(0.747282\pi\) | |||||||
\(824\) | −14.9392 | − | 9.97313i | −0.520431 | − | 0.347431i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 46.1323 | + | 3.69182i | 1.60515 | + | 0.128455i | ||||
\(827\) | 10.0525 | + | 17.4114i | 0.349559 | + | 0.605454i | 0.986171 | − | 0.165730i | \(-0.0529980\pi\) |
−0.636612 | + | 0.771184i | \(0.719665\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 23.9459 | − | 41.4755i | 0.831675 | − | 1.44050i | −0.0650348 | − | 0.997883i | \(-0.520716\pi\) |
0.896709 | − | 0.442620i | \(-0.145951\pi\) | |||||||
\(830\) | 11.9224 | − | 17.2984i | 0.413834 | − | 0.600436i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 8.35874 | − | 1.86033i | 0.289787 | − | 0.0644952i | ||||
\(833\) | 0.149682 | − | 0.0263930i | 0.00518618 | − | 0.000914463i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.2314 | − | 13.3850i | 0.388677 | − | 0.463207i | ||||
\(836\) | −0.395543 | + | 0.342016i | −0.0136802 | + | 0.0118289i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 4.42118 | − | 9.66763i | 0.152727 | − | 0.333963i | ||||
\(839\) | −34.1645 | − | 28.6674i | −1.17949 | − | 0.989708i | −0.999982 | − | 0.00595149i | \(-0.998106\pi\) |
−0.179506 | − | 0.983757i | \(-0.557450\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.02026 | + | 28.4713i | 0.173112 | + | 0.981769i | ||||
\(842\) | −17.1680 | + | 17.4243i | −0.591649 | + | 0.600482i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.6012 | + | 22.7718i | 0.468171 | + | 0.783837i | ||||
\(845\) | −38.9385 | − | 22.4811i | −1.33952 | − | 0.773375i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.62285 | − | 2.66900i | 0.158843 | − | 0.0917081i | ||||
\(848\) | 47.2512 | − | 9.78369i | 1.62261 | − | 0.335973i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 14.4876 | − | 3.99724i | 0.496922 | − | 0.137104i | ||||
\(851\) | 0.243725 | − | 0.204510i | 0.00835479 | − | 0.00701050i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.65044 | − | 1.69262i | 0.159228 | − | 0.0579542i | −0.261176 | − | 0.965291i | \(-0.584110\pi\) |
0.420404 | + | 0.907337i | \(0.361888\pi\) | |||||||
\(854\) | 2.28799 | + | 24.0942i | 0.0782935 | + | 0.824488i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.64887 | + | 27.2203i | −0.227254 | + | 0.930371i | ||||
\(857\) | 54.3261 | + | 9.57915i | 1.85574 | + | 0.327218i | 0.986060 | − | 0.166393i | \(-0.0532119\pi\) |
0.869683 | + | 0.493610i | \(0.164323\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 16.3765 | − | 44.9941i | 0.558759 | − | 1.53518i | −0.262681 | − | 0.964883i | \(-0.584607\pi\) |
0.821440 | − | 0.570295i | \(-0.193171\pi\) | |||||||
\(860\) | 44.5740 | − | 54.7489i | 1.51996 | − | 1.86692i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −29.3297 | + | 13.9422i | −0.998975 | + | 0.474873i | ||||
\(863\) | −29.9620 | −1.01992 | −0.509959 | − | 0.860199i | \(-0.670339\pi\) | ||||
−0.509959 | + | 0.860199i | \(0.670339\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −28.3302 | −0.963255 | ||||||||
\(866\) | −3.75878 | + | 1.78677i | −0.127728 | + | 0.0607170i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −23.1177 | + | 28.3947i | −0.784666 | + | 0.963780i | ||||
\(869\) | 9.78977 | − | 26.8972i | 0.332095 | − | 0.912424i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.17774 | − | 1.26563i | −0.243208 | − | 0.0428842i | ||||
\(872\) | 5.33314 | − | 21.8338i | 0.180603 | − | 0.739384i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.00407768 | + | 0.0429409i | 0.000137929 | + | 0.00145250i | ||||
\(875\) | 40.9643 | − | 14.9098i | 1.38485 | − | 0.504043i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −22.6770 | + | 19.0283i | −0.765749 | + | 0.642540i | −0.939617 | − | 0.342229i | \(-0.888818\pi\) |
0.173867 | + | 0.984769i | \(0.444374\pi\) | |||||||
\(878\) | −49.7938 | + | 13.7385i | −1.68046 | + | 0.463650i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 53.6428 | − | 11.1071i | 1.80830 | − | 0.374421i | ||||
\(881\) | −41.2789 | + | 23.8324i | −1.39072 | + | 0.802934i | −0.993395 | − | 0.114743i | \(-0.963395\pi\) |
−0.397327 | + | 0.917677i | \(0.630062\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −27.0065 | − | 15.5922i | −0.908842 | − | 0.524720i | −0.0287839 | − | 0.999586i | \(-0.509163\pi\) |
−0.880059 | + | 0.474865i | \(0.842497\pi\) | |||||||
\(884\) | −1.24287 | − | 2.08089i | −0.0418024 | − | 0.0699877i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 27.1571 | − | 27.5626i | 0.912362 | − | 0.925984i | ||||
\(887\) | 9.61775 | + | 54.5450i | 0.322932 | + | 1.83144i | 0.523824 | + | 0.851827i | \(0.324505\pi\) |
−0.200891 | + | 0.979614i | \(0.564384\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 25.6532 | + | 21.5256i | 0.860382 | + | 0.721946i | ||||
\(890\) | 5.34203 | − | 11.6812i | 0.179065 | − | 0.391556i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 26.8267 | − | 23.1963i | 0.898225 | − | 0.776671i | ||||
\(893\) | −0.0118796 | + | 0.0141575i | −0.000397535 | + | 0.000473763i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −38.0067 | + | 6.70161i | −1.27042 | + | 0.224010i | ||||
\(896\) | −28.9940 | − | 6.17776i | −0.968621 | − | 0.206385i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.67427 | − | 14.0365i | 0.322835 | − | 0.468405i | ||||
\(899\) | −1.04503 | + | 1.81005i | −0.0348537 | + | 0.0603684i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.82899 | − | 11.8282i | −0.227507 | − | 0.394053i | ||||
\(902\) | −50.4093 | − | 4.03410i | −1.67845 | − | 0.134321i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −23.7043 | − | 15.8246i | −0.788395 | − | 0.526318i | ||||
\(905\) | 40.9803 | + | 48.8384i | 1.36223 | + | 1.62344i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.14714 | − | 19.6366i | −0.237317 | − | 0.652022i | −0.999986 | − | 0.00523411i | \(-0.998334\pi\) |
0.762670 | − | 0.646788i | \(-0.223888\pi\) | |||||||
\(908\) | 3.95469 | − | 11.3877i | 0.131241 | − | 0.377916i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −8.72036 | − | 12.2596i | −0.289077 | − | 0.406402i | ||||
\(911\) | 0.180967 | − | 1.02631i | 0.00599569 | − | 0.0340033i | −0.981663 | − | 0.190624i | \(-0.938949\pi\) |
0.987659 | + | 0.156621i | \(0.0500600\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.2891 | − | 4.83682i | −0.439804 | − | 0.160075i | ||||
\(914\) | 21.7705 | + | 5.66082i | 0.720103 | + | 0.187243i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.519859 | + | 35.0769i | 0.0171766 | + | 1.15897i | ||||
\(917\) | 16.9065i | 0.558302i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 18.6355i | − | 0.614729i | −0.951592 | − | 0.307365i | \(-0.900553\pi\) | ||
0.951592 | − | 0.307365i | \(-0.0994471\pi\) | |||||||
\(920\) | 1.81823 | − | 4.13688i | 0.0599454 | − | 0.136389i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.20544 | − | 20.0191i | 0.171432 | − | 0.659295i | ||||
\(923\) | 12.7765 | + | 4.65027i | 0.420544 | + | 0.153065i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.23114 | − | 6.98213i | 0.0404796 | − | 0.229571i | ||||
\(926\) | 22.7167 | − | 16.1586i | 0.746518 | − | 0.531004i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.69004 | − | 0.0849413i | −0.0554782 | − | 0.00278833i | ||||
\(929\) | 14.3578 | + | 39.4478i | 0.471065 | + | 1.29424i | 0.916897 | + | 0.399123i | \(0.130685\pi\) |
−0.445833 | + | 0.895116i | \(0.647092\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.00624839 | + | 0.00744654i | 0.000204783 | + | 0.000244051i | ||||
\(932\) | 0.300584 | − | 1.86599i | 0.00984597 | − | 0.0611227i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 4.11387 | − | 51.4061i | 0.134610 | − | 1.68206i | ||||
\(935\) | −7.75274 | − | 13.4281i | −0.253542 | − | 0.439147i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.35834 | + | 4.08476i | −0.0770435 | + | 0.133443i | −0.901973 | − | 0.431792i | \(-0.857881\pi\) |
0.824930 | + | 0.565235i | \(0.191215\pi\) | |||||||
\(938\) | 20.7753 | + | 14.3188i | 0.678336 | + | 0.467524i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.80937 | − | 0.689089i | 0.0590151 | − | 0.0224756i | ||||
\(941\) | −22.7195 | + | 4.00605i | −0.740633 | + | 0.130594i | −0.531220 | − | 0.847234i | \(-0.678266\pi\) |
−0.209413 | + | 0.977827i | \(0.567155\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.68141 | + | 3.19557i | −0.0873186 | + | 0.104062i | ||||
\(944\) | 7.21310 | − | 49.4330i | 0.234766 | − | 1.60891i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −43.2181 | − | 19.7644i | −1.40514 | − | 0.642596i | ||||
\(947\) | 24.2924 | + | 20.3838i | 0.789397 | + | 0.662383i | 0.945596 | − | 0.325343i | \(-0.105480\pi\) |
−0.156199 | + | 0.987726i | \(0.549924\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.214963 | − | 1.21912i | −0.00697800 | − | 0.0395742i | ||||
\(950\) | 0.684684 | + | 0.674612i | 0.0222141 | + | 0.0218873i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.916930 | + | 8.34062i | 0.0297179 | + | 0.270321i | ||||
\(953\) | 38.9248 | + | 22.4732i | 1.26090 | + | 0.727980i | 0.973248 | − | 0.229756i | \(-0.0737927\pi\) |
0.287650 | + | 0.957736i | \(0.407126\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.227025 | + | 0.131073i | −0.00734634 | + | 0.00424141i | ||||
\(956\) | 19.5310 | + | 10.8935i | 0.631676 | + | 0.352322i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.39588 | + | 8.68367i | 0.0774075 | + | 0.280557i | ||||
\(959\) | −4.33384 | + | 3.63653i | −0.139947 | + | 0.117430i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 16.7434 | − | 6.09410i | 0.540110 | − | 0.196584i | ||||
\(962\) | −1.13830 | + | 0.108093i | −0.0367002 | + | 0.00348505i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −37.9826 | + | 7.27931i | −1.22334 | + | 0.234451i | ||||
\(965\) | −99.8979 | − | 17.6147i | −3.21583 | − | 0.567037i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.8906 | − | 29.9216i | 0.350217 | − | 0.962215i | −0.632083 | − | 0.774901i | \(-0.717800\pi\) |
0.982300 | − | 0.187314i | \(-0.0599781\pi\) | |||||||
\(968\) | −2.55064 | − | 5.16681i | −0.0819807 | − | 0.166068i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.44763 | + | 9.35634i | 0.142805 | + | 0.300414i | ||||
\(971\) | 11.0287 | 0.353929 | 0.176964 | − | 0.984217i | \(-0.443372\pi\) | ||||
0.176964 | + | 0.984217i | \(0.443372\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.3778 | −0.589164 | ||||||||
\(974\) | −19.1604 | − | 40.3071i | −0.613938 | − | 1.29152i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 26.1140 | − | 0.774218i | 0.835887 | − | 0.0247821i | ||||
\(977\) | −2.46836 | + | 6.78175i | −0.0789697 | + | 0.216968i | −0.972894 | − | 0.231250i | \(-0.925719\pi\) |
0.893925 | + | 0.448217i | \(0.147941\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.51492 | − | 1.50141i | −0.272138 | − | 0.0479853i | ||||
\(980\) | −0.191680 | − | 1.00017i | −0.00612301 | − | 0.0319492i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −37.5435 | + | 3.56513i | −1.19806 | + | 0.113768i | ||||
\(983\) | −16.9790 | + | 6.17984i | −0.541545 | + | 0.197106i | −0.598286 | − | 0.801283i | \(-0.704151\pi\) |
0.0567408 | + | 0.998389i | \(0.481929\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.0139 | − | 10.9199i | 0.414657 | − | 0.347938i | ||||
\(986\) | 0.127389 | + | 0.461712i | 0.00405691 | + | 0.0147039i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.0755106 | − | 0.135383i | 0.00240231 | − | 0.00430709i | ||||
\(989\) | −3.39494 | + | 1.96007i | −0.107953 | + | 0.0623266i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 14.8777 | + | 8.58966i | 0.472607 | + | 0.272860i | 0.717330 | − | 0.696733i | \(-0.245364\pi\) |
−0.244724 | + | 0.969593i | \(0.578697\pi\) | |||||||
\(992\) | 28.9640 | + | 26.8936i | 0.919607 | + | 0.853871i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −33.5286 | − | 33.0354i | −1.06346 | − | 1.04782i | ||||
\(995\) | 6.47614 | + | 36.7280i | 0.205307 | + | 1.16436i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 37.0763 | + | 31.1107i | 1.17422 | + | 0.985286i | 1.00000 | 0.000579452i | \(0.000184445\pi\) | |
0.174219 | + | 0.984707i | \(0.444260\pi\) | |||||||
\(998\) | 28.8780 | + | 13.2064i | 0.914118 | + | 0.418042i | ||||
\(999\) | 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 | 324.2.l.a.35.14 | 96 | ||
3.2 | odd | 2 | 108.2.l.a.11.3 | ✓ | 96 | ||
4.3 | odd | 2 | inner | 324.2.l.a.35.9 | 96 | ||
9.2 | odd | 6 | 972.2.l.d.755.13 | 96 | |||
9.4 | even | 3 | 972.2.l.b.431.7 | 96 | |||
9.5 | odd | 6 | 972.2.l.c.431.10 | 96 | |||
9.7 | even | 3 | 972.2.l.a.755.4 | 96 | |||
12.11 | even | 2 | 108.2.l.a.11.8 | yes | 96 | ||
27.4 | even | 9 | 972.2.l.d.215.15 | 96 | |||
27.5 | odd | 18 | inner | 324.2.l.a.287.9 | 96 | ||
27.13 | even | 9 | 972.2.l.c.539.4 | 96 | |||
27.14 | odd | 18 | 972.2.l.b.539.13 | 96 | |||
27.22 | even | 9 | 108.2.l.a.59.8 | yes | 96 | ||
27.23 | odd | 18 | 972.2.l.a.215.2 | 96 | |||
36.7 | odd | 6 | 972.2.l.a.755.2 | 96 | |||
36.11 | even | 6 | 972.2.l.d.755.15 | 96 | |||
36.23 | even | 6 | 972.2.l.c.431.4 | 96 | |||
36.31 | odd | 6 | 972.2.l.b.431.13 | 96 | |||
108.23 | even | 18 | 972.2.l.a.215.4 | 96 | |||
108.31 | odd | 18 | 972.2.l.d.215.13 | 96 | |||
108.59 | even | 18 | inner | 324.2.l.a.287.14 | 96 | ||
108.67 | odd | 18 | 972.2.l.c.539.10 | 96 | |||
108.95 | even | 18 | 972.2.l.b.539.7 | 96 | |||
108.103 | odd | 18 | 108.2.l.a.59.3 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.11.3 | ✓ | 96 | 3.2 | odd | 2 | ||
108.2.l.a.11.8 | yes | 96 | 12.11 | even | 2 | ||
108.2.l.a.59.3 | yes | 96 | 108.103 | odd | 18 | ||
108.2.l.a.59.8 | yes | 96 | 27.22 | even | 9 | ||
324.2.l.a.35.9 | 96 | 4.3 | odd | 2 | inner | ||
324.2.l.a.35.14 | 96 | 1.1 | even | 1 | trivial | ||
324.2.l.a.287.9 | 96 | 27.5 | odd | 18 | inner | ||
324.2.l.a.287.14 | 96 | 108.59 | even | 18 | inner | ||
972.2.l.a.215.2 | 96 | 27.23 | odd | 18 | |||
972.2.l.a.215.4 | 96 | 108.23 | even | 18 | |||
972.2.l.a.755.2 | 96 | 36.7 | odd | 6 | |||
972.2.l.a.755.4 | 96 | 9.7 | even | 3 | |||
972.2.l.b.431.7 | 96 | 9.4 | even | 3 | |||
972.2.l.b.431.13 | 96 | 36.31 | odd | 6 | |||
972.2.l.b.539.7 | 96 | 108.95 | even | 18 | |||
972.2.l.b.539.13 | 96 | 27.14 | odd | 18 | |||
972.2.l.c.431.4 | 96 | 36.23 | even | 6 | |||
972.2.l.c.431.10 | 96 | 9.5 | odd | 6 | |||
972.2.l.c.539.4 | 96 | 27.13 | even | 9 | |||
972.2.l.c.539.10 | 96 | 108.67 | odd | 18 | |||
972.2.l.d.215.13 | 96 | 108.31 | odd | 18 | |||
972.2.l.d.215.15 | 96 | 27.4 | even | 9 | |||
972.2.l.d.755.13 | 96 | 9.2 | odd | 6 | |||
972.2.l.d.755.15 | 96 | 36.11 | even | 6 |