Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 190.5 | ||
Character | \(\chi\) | \(=\) | 693.190 |
Dual form | 693.2.m.k.631.5 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.614338 | − | 0.446343i | 0.434402 | − | 0.315612i | −0.349004 | − | 0.937121i | \(-0.613480\pi\) |
0.783407 | + | 0.621509i | \(0.213480\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.439845 | + | 1.35370i | −0.219922 | + | 0.676851i | ||||
\(5\) | −2.31804 | − | 1.68415i | −1.03666 | − | 0.753175i | −0.0670269 | − | 0.997751i | \(-0.521351\pi\) |
−0.969630 | + | 0.244576i | \(0.921351\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.309017 | − | 0.951057i | 0.116797 | − | 0.359466i | ||||
\(8\) | 0.803314 | + | 2.47235i | 0.284014 | + | 0.874107i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.17577 | −0.688038 | ||||||||
\(11\) | −3.15889 | + | 1.01064i | −0.952442 | + | 0.304720i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.63576 | − | 4.09462i | 1.56308 | − | 1.13564i | 0.629652 | − | 0.776877i | \(-0.283197\pi\) |
0.933427 | − | 0.358767i | \(-0.116803\pi\) | |||||||
\(14\) | −0.234656 | − | 0.722197i | −0.0627145 | − | 0.193015i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.706036 | − | 0.512965i | −0.176509 | − | 0.128241i | ||||
\(17\) | −5.38702 | − | 3.91390i | −1.30654 | − | 0.949260i | −0.306548 | − | 0.951855i | \(-0.599174\pi\) |
−0.999997 | + | 0.00259534i | \(0.999174\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.77718 | − | 5.46959i | −0.407712 | − | 1.25481i | −0.918609 | − | 0.395167i | \(-0.870687\pi\) |
0.510897 | − | 0.859642i | \(-0.329313\pi\) | |||||||
\(20\) | 3.29942 | − | 2.39717i | 0.737772 | − | 0.536023i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.48953 | + | 2.03082i | −0.317570 | + | 0.432973i | ||||
\(23\) | −0.724581 | −0.151086 | −0.0755428 | − | 0.997143i | \(-0.524069\pi\) | ||||
−0.0755428 | + | 0.997143i | \(0.524069\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.991838 | + | 3.05256i | 0.198368 | + | 0.610513i | ||||
\(26\) | 1.63466 | − | 5.03096i | 0.320583 | − | 0.986653i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.15153 | + | 0.836634i | 0.217618 | + | 0.158109i | ||||
\(29\) | 2.33846 | − | 7.19703i | 0.434240 | − | 1.33645i | −0.459623 | − | 0.888114i | \(-0.652015\pi\) |
0.893863 | − | 0.448340i | \(-0.147985\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.28117 | + | 1.65737i | −0.409710 | + | 0.297672i | −0.773484 | − | 0.633815i | \(-0.781488\pi\) |
0.363774 | + | 0.931487i | \(0.381488\pi\) | |||||||
\(32\) | −5.86186 | −1.03624 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.05639 | −0.867164 | ||||||||
\(35\) | −2.31804 | + | 1.68415i | −0.391820 | + | 0.284674i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.532161 | + | 1.63782i | −0.0874868 | + | 0.269257i | −0.985223 | − | 0.171277i | \(-0.945211\pi\) |
0.897736 | + | 0.440534i | \(0.145211\pi\) | |||||||
\(38\) | −3.53310 | − | 2.56694i | −0.573144 | − | 0.416413i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.30170 | − | 7.08389i | 0.363930 | − | 1.12006i | ||||
\(41\) | 0.346364 | + | 1.06600i | 0.0540929 | + | 0.166481i | 0.974453 | − | 0.224591i | \(-0.0721045\pi\) |
−0.920360 | + | 0.391072i | \(0.872104\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −11.7092 | −1.78564 | −0.892821 | − | 0.450411i | \(-0.851277\pi\) | ||||
−0.892821 | + | 0.450411i | \(0.851277\pi\) | |||||||
\(44\) | 0.0213116 | − | 4.72073i | 0.00321285 | − | 0.711676i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.445138 | + | 0.323411i | −0.0656320 | + | 0.0476844i | ||||
\(47\) | 1.60366 | + | 4.93556i | 0.233918 | + | 0.719926i | 0.997263 | + | 0.0739350i | \(0.0235557\pi\) |
−0.763345 | + | 0.645991i | \(0.776444\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.809017 | − | 0.587785i | −0.115574 | − | 0.0839693i | ||||
\(50\) | 1.97181 | + | 1.43261i | 0.278856 | + | 0.202601i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.06404 | + | 9.43015i | 0.424906 | + | 1.30773i | ||||
\(53\) | 5.06259 | − | 3.67819i | 0.695401 | − | 0.505238i | −0.183030 | − | 0.983107i | \(-0.558591\pi\) |
0.878431 | + | 0.477869i | \(0.158591\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.02450 | + | 2.97735i | 1.21686 | + | 0.401465i | ||||
\(56\) | 2.59958 | 0.347383 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.77574 | − | 5.46516i | −0.233166 | − | 0.717611i | ||||
\(59\) | 1.23059 | − | 3.78737i | 0.160209 | − | 0.493074i | −0.838442 | − | 0.544991i | \(-0.816533\pi\) |
0.998651 | + | 0.0519172i | \(0.0165332\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.83043 | + | 3.50951i | 0.618473 | + | 0.449347i | 0.852388 | − | 0.522910i | \(-0.175154\pi\) |
−0.233915 | + | 0.972257i | \(0.575154\pi\) | |||||||
\(62\) | −0.661656 | + | 2.03637i | −0.0840303 | + | 0.258619i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.18909 | + | 1.59047i | −0.273636 | + | 0.198808i | ||||
\(65\) | −19.9599 | −2.47572 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.3611 | 1.26581 | 0.632906 | − | 0.774229i | \(-0.281862\pi\) | ||||
0.632906 | + | 0.774229i | \(0.281862\pi\) | |||||||
\(68\) | 7.66771 | − | 5.57092i | 0.929846 | − | 0.675573i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.672349 | + | 2.06928i | −0.0803610 | + | 0.247326i | ||||
\(71\) | 0.805120 | + | 0.584954i | 0.0955502 | + | 0.0694213i | 0.634535 | − | 0.772894i | \(-0.281192\pi\) |
−0.538984 | + | 0.842316i | \(0.681192\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.09294 | − | 3.36374i | 0.127919 | − | 0.393696i | −0.866502 | − | 0.499173i | \(-0.833637\pi\) |
0.994422 | + | 0.105478i | \(0.0336372\pi\) | |||||||
\(74\) | 0.404104 | + | 1.24370i | 0.0469761 | + | 0.144578i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.18588 | 0.938984 | ||||||||
\(77\) | −0.0149727 | + | 3.31659i | −0.00170629 | + | 0.377961i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.541875 | − | 0.393695i | 0.0609657 | − | 0.0442942i | −0.556885 | − | 0.830590i | \(-0.688004\pi\) |
0.617851 | + | 0.786295i | \(0.288004\pi\) | |||||||
\(80\) | 0.772706 | + | 2.37814i | 0.0863912 | + | 0.265885i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.688585 | + | 0.500286i | 0.0760415 | + | 0.0552474i | ||||
\(83\) | −10.8603 | − | 7.89044i | −1.19207 | − | 0.866089i | −0.198587 | − | 0.980083i | \(-0.563635\pi\) |
−0.993481 | + | 0.113994i | \(0.963635\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.89571 | + | 18.1451i | 0.639479 | + | 1.96811i | ||||
\(86\) | −7.19343 | + | 5.22633i | −0.775688 | + | 0.563570i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.03624 | − | 6.99801i | −0.536865 | − | 0.745991i | ||||
\(89\) | 16.6006 | 1.75966 | 0.879828 | − | 0.475292i | \(-0.157657\pi\) | ||||
0.879828 | + | 0.475292i | \(0.157657\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.15267 | − | 6.62524i | −0.225661 | − | 0.694514i | ||||
\(92\) | 0.318703 | − | 0.980868i | 0.0332271 | − | 0.102263i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.18814 | + | 2.31632i | 0.328832 | + | 0.238910i | ||||
\(95\) | −5.09205 | + | 15.6717i | −0.522434 | + | 1.60789i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.18083 | + | 5.94372i | −0.830638 | + | 0.603493i | −0.919740 | − | 0.392529i | \(-0.871600\pi\) |
0.0891021 | + | 0.996022i | \(0.471600\pi\) | |||||||
\(98\) | −0.759363 | −0.0767073 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.56852 | −0.456852 | ||||||||
\(101\) | −5.19674 | + | 3.77565i | −0.517095 | + | 0.375692i | −0.815508 | − | 0.578745i | \(-0.803543\pi\) |
0.298413 | + | 0.954437i | \(0.403543\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.76813 | + | 8.51944i | −0.272752 | + | 0.839446i | 0.717053 | + | 0.697019i | \(0.245491\pi\) |
−0.989805 | + | 0.142427i | \(0.954509\pi\) | |||||||
\(104\) | 14.6506 | + | 10.6443i | 1.43661 | + | 1.04376i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.46841 | − | 4.51930i | 0.142625 | − | 0.438953i | ||||
\(107\) | 1.39951 | + | 4.30724i | 0.135296 | + | 0.416397i | 0.995636 | − | 0.0933231i | \(-0.0297489\pi\) |
−0.860340 | + | 0.509720i | \(0.829749\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.02744 | −0.0984106 | −0.0492053 | − | 0.998789i | \(-0.515669\pi\) | ||||
−0.0492053 | + | 0.998789i | \(0.515669\pi\) | |||||||
\(110\) | 6.87301 | − | 2.19892i | 0.655316 | − | 0.209659i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.706036 | + | 0.512965i | −0.0667142 | + | 0.0484707i | ||||
\(113\) | 4.09077 | + | 12.5901i | 0.384827 | + | 1.18438i | 0.936605 | + | 0.350386i | \(0.113950\pi\) |
−0.551778 | + | 0.833991i | \(0.686050\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.67961 | + | 1.22030i | 0.156624 | + | 0.113794i | ||||
\(116\) | 8.71408 | + | 6.33115i | 0.809082 | + | 0.587832i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.934466 | − | 2.87599i | −0.0860245 | − | 0.264756i | ||||
\(119\) | −5.38702 | + | 3.91390i | −0.493827 | + | 0.358787i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.95720 | − | 6.38503i | 0.814291 | − | 0.580457i | ||||
\(122\) | 4.53396 | 0.410486 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.24022 | − | 3.81701i | −0.111375 | − | 0.342778i | ||||
\(125\) | −1.58519 | + | 4.87871i | −0.141784 | + | 0.436365i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.1816 | − | 9.57702i | −1.16968 | − | 0.849823i | −0.178711 | − | 0.983902i | \(-0.557193\pi\) |
−0.990971 | + | 0.134078i | \(0.957193\pi\) | |||||||
\(128\) | 2.98788 | − | 9.19576i | 0.264094 | − | 0.812798i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −12.2621 | + | 8.90894i | −1.07546 | + | 0.781365i | ||||
\(131\) | 6.19831 | 0.541549 | 0.270774 | − | 0.962643i | \(-0.412720\pi\) | ||||
0.270774 | + | 0.962643i | \(0.412720\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.75106 | −0.498680 | ||||||||
\(134\) | 6.36522 | − | 4.62460i | 0.549871 | − | 0.399505i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.34905 | − | 16.4627i | 0.458677 | − | 1.41166i | ||||
\(137\) | −12.9520 | − | 9.41016i | −1.10656 | − | 0.803964i | −0.124443 | − | 0.992227i | \(-0.539714\pi\) |
−0.982119 | + | 0.188262i | \(0.939714\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.42581 | − | 4.38819i | 0.120935 | − | 0.372201i | −0.872203 | − | 0.489144i | \(-0.837309\pi\) |
0.993139 | + | 0.116943i | \(0.0373094\pi\) | |||||||
\(140\) | −1.26026 | − | 3.87870i | −0.106512 | − | 0.327810i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.755706 | 0.0634174 | ||||||||
\(143\) | −13.6646 | + | 18.6302i | −1.14269 | + | 1.55794i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −17.5415 | + | 12.7447i | −1.45674 | + | 1.05839i | ||||
\(146\) | −0.829942 | − | 2.55430i | −0.0686865 | − | 0.211395i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.98306 | − | 1.44078i | −0.163006 | − | 0.118431i | ||||
\(149\) | 5.83982 | + | 4.24287i | 0.478416 | + | 0.347590i | 0.800712 | − | 0.599049i | \(-0.204455\pi\) |
−0.322296 | + | 0.946639i | \(0.604455\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.193552 | + | 0.595693i | 0.0157511 | + | 0.0484768i | 0.958623 | − | 0.284678i | \(-0.0918867\pi\) |
−0.942872 | + | 0.333155i | \(0.891887\pi\) | |||||||
\(152\) | 12.0951 | − | 8.78759i | 0.981041 | − | 0.712768i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.47114 | + | 2.04419i | 0.118548 | + | 0.164726i | ||||
\(155\) | 8.07909 | 0.648928 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.89969 | − | 5.84664i | −0.151612 | − | 0.466613i | 0.846190 | − | 0.532881i | \(-0.178891\pi\) |
−0.997802 | + | 0.0662683i | \(0.978891\pi\) | |||||||
\(158\) | 0.157171 | − | 0.483724i | 0.0125039 | − | 0.0384830i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 13.5880 | + | 9.87226i | 1.07423 | + | 0.780471i | ||||
\(161\) | −0.223908 | + | 0.689118i | −0.0176464 | + | 0.0543101i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.5084 | + | 12.7206i | −1.37136 | + | 0.996352i | −0.373732 | + | 0.927537i | \(0.621922\pi\) |
−0.997629 | + | 0.0688158i | \(0.978078\pi\) | |||||||
\(164\) | −1.59539 | −0.124579 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.1937 | −0.791186 | ||||||||
\(167\) | 19.4121 | − | 14.1037i | 1.50216 | − | 1.09138i | 0.532644 | − | 0.846339i | \(-0.321198\pi\) |
0.969513 | − | 0.245042i | \(-0.0788017\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.9787 | − | 33.7889i | 0.844514 | − | 2.59915i | ||||
\(170\) | 11.7209 | + | 8.51573i | 0.898951 | + | 0.653126i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.15025 | − | 15.8508i | 0.392703 | − | 1.20861i | ||||
\(173\) | −3.34074 | − | 10.2817i | −0.253992 | − | 0.781707i | −0.994027 | − | 0.109138i | \(-0.965191\pi\) |
0.740035 | − | 0.672569i | \(-0.234809\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.20966 | 0.242627 | ||||||||
\(176\) | 2.74872 | + | 0.906852i | 0.207192 | + | 0.0683565i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.1984 | − | 7.40954i | 0.764399 | − | 0.555368i | ||||
\(179\) | 1.83197 | + | 5.63824i | 0.136928 | + | 0.421422i | 0.995885 | − | 0.0906265i | \(-0.0288869\pi\) |
−0.858957 | + | 0.512048i | \(0.828887\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.92063 | + | 2.84851i | 0.291418 | + | 0.211728i | 0.723882 | − | 0.689923i | \(-0.242356\pi\) |
−0.432464 | + | 0.901651i | \(0.642356\pi\) | |||||||
\(182\) | −4.27959 | − | 3.10931i | −0.317224 | − | 0.230477i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.582066 | − | 1.79142i | −0.0429105 | − | 0.132065i | ||||
\(185\) | 3.99191 | − | 2.90029i | 0.293491 | − | 0.213234i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 20.9726 | + | 6.91923i | 1.53367 | + | 0.505984i | ||||
\(188\) | −7.38665 | −0.538727 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.86672 | + | 11.9005i | 0.280521 | + | 0.863356i | ||||
\(191\) | −4.84920 | + | 14.9243i | −0.350876 | + | 1.07988i | 0.607487 | + | 0.794330i | \(0.292178\pi\) |
−0.958362 | + | 0.285555i | \(0.907822\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 18.4090 | + | 13.3749i | 1.32511 | + | 0.962749i | 0.999853 | + | 0.0171238i | \(0.00545094\pi\) |
0.325257 | + | 0.945626i | \(0.394549\pi\) | |||||||
\(194\) | −2.37286 | + | 7.30291i | −0.170361 | + | 0.524318i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.15153 | − | 0.836634i | 0.0822520 | − | 0.0597596i | ||||
\(197\) | 15.3025 | 1.09026 | 0.545129 | − | 0.838352i | \(-0.316481\pi\) | ||||
0.545129 | + | 0.838352i | \(0.316481\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.547814 | −0.0388335 | −0.0194168 | − | 0.999811i | \(-0.506181\pi\) | ||||
−0.0194168 | + | 0.999811i | \(0.506181\pi\) | |||||||
\(200\) | −6.75024 | + | 4.90434i | −0.477314 | + | 0.346789i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.50732 | + | 4.63905i | −0.106055 | + | 0.326403i | ||||
\(203\) | −6.12216 | − | 4.44801i | −0.429691 | − | 0.312189i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.992419 | − | 3.05435i | 0.0693135 | − | 0.213325i | ||||
\(206\) | 2.10202 | + | 6.46935i | 0.146455 | + | 0.450741i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.07945 | −0.421534 | ||||||||
\(209\) | 11.1417 | + | 15.4817i | 0.770688 | + | 1.07089i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.2232 | − | 8.15412i | 0.772636 | − | 0.561353i | −0.130124 | − | 0.991498i | \(-0.541538\pi\) |
0.902760 | + | 0.430145i | \(0.141538\pi\) | |||||||
\(212\) | 2.75242 | + | 8.47108i | 0.189037 | + | 0.581796i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.78228 | + | 2.02144i | 0.190193 | + | 0.138183i | ||||
\(215\) | 27.1424 | + | 19.7201i | 1.85110 | + | 1.34490i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.871329 | + | 2.68168i | 0.0591497 | + | 0.182044i | ||||
\(218\) | −0.631193 | + | 0.458589i | −0.0427498 | + | 0.0310595i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −7.99982 | + | 10.9069i | −0.539348 | + | 0.735345i | ||||
\(221\) | −46.3859 | −3.12025 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.34908 | − | 7.22973i | −0.157306 | − | 0.484138i | 0.841081 | − | 0.540909i | \(-0.181920\pi\) |
−0.998387 | + | 0.0567705i | \(0.981920\pi\) | |||||||
\(224\) | −1.81142 | + | 5.57496i | −0.121030 | + | 0.372493i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 8.13261 | + | 5.90869i | 0.540973 | + | 0.393040i | ||||
\(227\) | −0.0912083 | + | 0.280710i | −0.00605371 | + | 0.0186314i | −0.954038 | − | 0.299686i | \(-0.903118\pi\) |
0.947984 | + | 0.318318i | \(0.103118\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.75269 | + | 4.17958i | −0.380149 | + | 0.276194i | −0.761407 | − | 0.648275i | \(-0.775491\pi\) |
0.381258 | + | 0.924469i | \(0.375491\pi\) | |||||||
\(230\) | 1.57652 | 0.103953 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 19.6721 | 1.29153 | ||||||||
\(233\) | −8.29543 | + | 6.02698i | −0.543452 | + | 0.394841i | −0.825365 | − | 0.564599i | \(-0.809031\pi\) |
0.281914 | + | 0.959440i | \(0.409031\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.59489 | − | 14.1416i | 0.299738 | − | 0.922498i | ||||
\(236\) | 4.58570 | + | 3.33171i | 0.298504 | + | 0.216876i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.56251 | + | 4.80891i | −0.101283 | + | 0.311716i | ||||
\(239\) | −6.11983 | − | 18.8349i | −0.395859 | − | 1.21833i | −0.928291 | − | 0.371856i | \(-0.878722\pi\) |
0.532432 | − | 0.846473i | \(-0.321278\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −20.0305 | −1.29028 | −0.645138 | − | 0.764066i | \(-0.723200\pi\) | ||||
−0.645138 | + | 0.764066i | \(0.723200\pi\) | |||||||
\(242\) | 2.65284 | − | 7.92054i | 0.170531 | − | 0.509152i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.87548 | + | 4.99533i | −0.440157 | + | 0.319793i | ||||
\(245\) | 0.885411 | + | 2.72501i | 0.0565668 | + | 0.174095i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −32.4116 | − | 23.5484i | −2.06230 | − | 1.49835i | ||||
\(248\) | −5.93008 | − | 4.30846i | −0.376561 | − | 0.273587i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.20374 | + | 3.70472i | 0.0761309 | + | 0.234307i | ||||
\(251\) | 2.17876 | − | 1.58296i | 0.137522 | − | 0.0999155i | −0.516897 | − | 0.856047i | \(-0.672913\pi\) |
0.654419 | + | 0.756132i | \(0.272913\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.28887 | − | 0.732293i | 0.143900 | − | 0.0460389i | ||||
\(254\) | −12.3726 | −0.776327 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.94121 | − | 12.1298i | −0.246325 | − | 0.758111i | ||||
\(257\) | 7.83640 | − | 24.1179i | 0.488821 | − | 1.50444i | −0.337549 | − | 0.941308i | \(-0.609598\pi\) |
0.826370 | − | 0.563128i | \(-0.190402\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.39322 | + | 1.01223i | 0.0865702 | + | 0.0628970i | ||||
\(260\) | 8.77924 | − | 27.0197i | 0.544465 | − | 1.67569i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.80786 | − | 2.76657i | 0.235250 | − | 0.170919i | ||||
\(263\) | −9.04980 | −0.558034 | −0.279017 | − | 0.960286i | \(-0.590009\pi\) | ||||
−0.279017 | + | 0.960286i | \(0.590009\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −17.9299 | −1.10142 | ||||||||
\(266\) | −3.53310 | + | 2.56694i | −0.216628 | + | 0.157389i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.55728 | + | 14.0259i | −0.278380 | + | 0.856766i | ||||
\(269\) | −2.21095 | − | 1.60635i | −0.134804 | − | 0.0979410i | 0.518340 | − | 0.855175i | \(-0.326550\pi\) |
−0.653144 | + | 0.757234i | \(0.726550\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.54748 | − | 17.0734i | 0.336986 | − | 1.03714i | −0.628750 | − | 0.777608i | \(-0.716433\pi\) |
0.965736 | − | 0.259528i | \(-0.0835669\pi\) | |||||||
\(272\) | 1.79574 | + | 5.52671i | 0.108883 | + | 0.335106i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −12.1570 | −0.734434 | ||||||||
\(275\) | −6.21816 | − | 8.64033i | −0.374969 | − | 0.521031i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.02080 | − | 6.55399i | 0.542007 | − | 0.393791i | −0.282823 | − | 0.959172i | \(-0.591271\pi\) |
0.824830 | + | 0.565381i | \(0.191271\pi\) | |||||||
\(278\) | −1.08271 | − | 3.33223i | −0.0649364 | − | 0.199854i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.02592 | − | 4.37809i | −0.360118 | − | 0.261641i | ||||
\(281\) | −3.20564 | − | 2.32904i | −0.191233 | − | 0.138939i | 0.488049 | − | 0.872816i | \(-0.337709\pi\) |
−0.679282 | + | 0.733877i | \(0.737709\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.77657 | + | 5.46773i | 0.105606 | + | 0.325023i | 0.989872 | − | 0.141961i | \(-0.0453407\pi\) |
−0.884266 | + | 0.466984i | \(0.845341\pi\) | |||||||
\(284\) | −1.14598 | + | 0.832605i | −0.0680015 | + | 0.0494060i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.0792034 | + | 17.5443i | −0.00468340 | + | 1.03742i | ||||
\(287\) | 1.12086 | 0.0661621 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.44809 | + | 26.0005i | 0.496946 | + | 1.52944i | ||||
\(290\) | −5.08793 | + | 15.6590i | −0.298774 | + | 0.919531i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.07277 | + | 2.95904i | 0.238341 | + | 0.173165i | ||||
\(293\) | 7.18272 | − | 22.1061i | 0.419619 | − | 1.29145i | −0.488434 | − | 0.872601i | \(-0.662432\pi\) |
0.908053 | − | 0.418854i | \(-0.137568\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.23106 | + | 6.70676i | −0.537453 | + | 0.390482i | ||||
\(296\) | −4.47676 | −0.260206 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.48140 | 0.317529 | ||||||||
\(299\) | −4.08357 | + | 2.96689i | −0.236159 | + | 0.171579i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.61835 | + | 11.1362i | −0.208558 | + | 0.641877i | ||||
\(302\) | 0.384790 | + | 0.279566i | 0.0221422 | + | 0.0160872i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.55096 | + | 4.77336i | −0.0889535 | + | 0.273771i | ||||
\(305\) | −5.28656 | − | 16.2704i | −0.302707 | − | 0.931638i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.87940 | 0.221409 | 0.110705 | − | 0.993853i | \(-0.464689\pi\) | ||||
0.110705 | + | 0.993853i | \(0.464689\pi\) | |||||||
\(308\) | −4.48309 | − | 1.47905i | −0.255448 | − | 0.0842769i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.96329 | − | 3.60604i | 0.281896 | − | 0.204809i | ||||
\(311\) | 1.15776 | + | 3.56321i | 0.0656504 | + | 0.202051i | 0.978501 | − | 0.206243i | \(-0.0661238\pi\) |
−0.912850 | + | 0.408294i | \(0.866124\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −14.6142 | − | 10.6178i | −0.826044 | − | 0.600156i | 0.0923934 | − | 0.995723i | \(-0.470548\pi\) |
−0.918437 | + | 0.395567i | \(0.870548\pi\) | |||||||
\(314\) | −3.77666 | − | 2.74390i | −0.213129 | − | 0.154847i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.294606 | + | 0.906703i | 0.0165729 | + | 0.0510060i | ||||
\(317\) | −5.99841 | + | 4.35810i | −0.336904 | + | 0.244775i | −0.743354 | − | 0.668898i | \(-0.766766\pi\) |
0.406450 | + | 0.913673i | \(0.366766\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.113304 | + | 25.0980i | −0.00634382 | + | 1.40522i | ||||
\(320\) | 7.75298 | 0.433405 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.170027 | + | 0.523291i | 0.00947526 | + | 0.0291619i | ||||
\(323\) | −11.8337 | + | 36.4205i | −0.658446 | + | 2.02649i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 18.0889 | + | 13.1423i | 1.00339 | + | 0.729005i | ||||
\(326\) | −5.07832 | + | 15.6295i | −0.281262 | + | 0.865636i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.35728 | + | 1.71266i | −0.130159 | + | 0.0945660i | ||||
\(329\) | 5.18956 | 0.286110 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.5172 | 0.797937 | 0.398968 | − | 0.916965i | \(-0.369368\pi\) | ||||
0.398968 | + | 0.916965i | \(0.369368\pi\) | |||||||
\(332\) | 15.4581 | − | 11.2310i | 0.848376 | − | 0.616381i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.63051 | − | 17.3289i | 0.308088 | − | 0.948197i | ||||
\(335\) | −24.0174 | − | 17.4497i | −1.31221 | − | 0.953378i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.26146 | − | 10.0378i | 0.177663 | − | 0.546791i | −0.822082 | − | 0.569369i | \(-0.807187\pi\) |
0.999745 | + | 0.0225781i | \(0.00718744\pi\) | |||||||
\(338\) | −8.33681 | − | 25.6581i | −0.453463 | − | 1.39561i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −27.1563 | −1.47276 | ||||||||
\(341\) | 5.53096 | − | 7.54089i | 0.299518 | − | 0.408362i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.809017 | + | 0.587785i | −0.0436828 | + | 0.0317374i | ||||
\(344\) | −9.40620 | − | 28.9493i | −0.507148 | − | 1.56084i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.64153 | − | 4.82535i | −0.357051 | − | 0.259413i | ||||
\(347\) | 18.2109 | + | 13.2310i | 0.977615 | + | 0.710279i | 0.957174 | − | 0.289512i | \(-0.0934931\pi\) |
0.0204406 | + | 0.999791i | \(0.493493\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.40301 | − | 19.7064i | −0.342745 | − | 1.05486i | −0.962780 | − | 0.270287i | \(-0.912881\pi\) |
0.620034 | − | 0.784575i | \(-0.287119\pi\) | |||||||
\(350\) | 1.97181 | − | 1.43261i | 0.105398 | − | 0.0765760i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.5170 | − | 5.92425i | 0.986959 | − | 0.315764i | ||||
\(353\) | 6.01460 | 0.320125 | 0.160062 | − | 0.987107i | \(-0.448830\pi\) | ||||
0.160062 | + | 0.987107i | \(0.448830\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.881146 | − | 2.71189i | −0.0467664 | − | 0.143932i | ||||
\(356\) | −7.30167 | + | 22.4722i | −0.386988 | + | 1.19103i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.64204 | + | 2.64609i | 0.192488 | + | 0.139850i | ||||
\(359\) | −5.70755 | + | 17.5660i | −0.301233 | + | 0.927100i | 0.679823 | + | 0.733376i | \(0.262056\pi\) |
−0.981056 | + | 0.193724i | \(0.937944\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.3867 | + | 8.27292i | −0.599300 | + | 0.435417i | ||||
\(362\) | 3.68000 | 0.193417 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.91544 | 0.519710 | ||||||||
\(365\) | −8.19852 | + | 5.95658i | −0.429130 | + | 0.311781i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.24531 | + | 3.83267i | −0.0650046 | + | 0.200063i | −0.978284 | − | 0.207271i | \(-0.933542\pi\) |
0.913279 | + | 0.407335i | \(0.133542\pi\) | |||||||
\(368\) | 0.511581 | + | 0.371685i | 0.0266680 | + | 0.0193754i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.15786 | − | 3.56352i | 0.0601942 | − | 0.185259i | ||||
\(371\) | −1.93374 | − | 5.95144i | −0.100395 | − | 0.308983i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.06561 | 0.262287 | 0.131144 | − | 0.991363i | \(-0.458135\pi\) | ||||
0.131144 | + | 0.991363i | \(0.458135\pi\) | |||||||
\(374\) | 15.9726 | − | 5.11021i | 0.825923 | − | 0.264242i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.9142 | + | 7.92962i | −0.562856 | + | 0.408939i | ||||
\(377\) | −16.2901 | − | 50.1358i | −0.838984 | − | 2.58213i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.77707 | − | 1.29111i | −0.0912817 | − | 0.0663201i | 0.541208 | − | 0.840889i | \(-0.317967\pi\) |
−0.632490 | + | 0.774569i | \(0.717967\pi\) | |||||||
\(380\) | −18.9752 | − | 13.7863i | −0.973405 | − | 0.707220i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.68230 | + | 11.3330i | 0.188403 | + | 0.579845i | ||||
\(383\) | 19.8093 | − | 14.3923i | 1.01221 | − | 0.735413i | 0.0475374 | − | 0.998869i | \(-0.484863\pi\) |
0.964671 | + | 0.263457i | \(0.0848627\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.62035 | − | 7.66276i | 0.286440 | − | 0.390530i | ||||
\(386\) | 17.2792 | 0.879487 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.44774 | − | 13.6887i | −0.225800 | − | 0.694940i | ||||
\(389\) | 10.6057 | − | 32.6410i | 0.537730 | − | 1.65496i | −0.199944 | − | 0.979807i | \(-0.564076\pi\) |
0.737675 | − | 0.675156i | \(-0.235924\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.90333 | + | 2.83594i | 0.197400 | + | 0.143420i | ||||
\(392\) | 0.803314 | − | 2.47235i | 0.0405735 | − | 0.124872i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 9.40090 | − | 6.83016i | 0.473611 | − | 0.344098i | ||||
\(395\) | −1.91913 | −0.0965618 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.46742 | 0.424968 | 0.212484 | − | 0.977165i | \(-0.431845\pi\) | ||||
0.212484 | + | 0.977165i | \(0.431845\pi\) | |||||||
\(398\) | −0.336543 | + | 0.244513i | −0.0168694 | + | 0.0122563i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.865586 | − | 2.66400i | 0.0432793 | − | 0.133200i | ||||
\(401\) | −23.3870 | − | 16.9917i | −1.16789 | − | 0.848523i | −0.177137 | − | 0.984186i | \(-0.556684\pi\) |
−0.990755 | + | 0.135663i | \(0.956684\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.06984 | + | 18.6811i | −0.302360 | + | 0.930570i | ||||
\(404\) | −2.82535 | − | 8.69554i | −0.140567 | − | 0.432619i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.74641 | −0.285189 | ||||||||
\(407\) | 0.0257846 | − | 5.71153i | 0.00127809 | − | 0.283110i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.29084 | − | 0.937848i | 0.0638278 | − | 0.0463736i | −0.555414 | − | 0.831574i | \(-0.687440\pi\) |
0.619242 | + | 0.785200i | \(0.287440\pi\) | |||||||
\(410\) | −0.753606 | − | 2.31936i | −0.0372180 | − | 0.114545i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.3152 | − | 7.49446i | −0.508196 | − | 0.369226i | ||||
\(413\) | −3.22173 | − | 2.34072i | −0.158531 | − | 0.115179i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.8858 | + | 36.5807i | 0.583450 | + | 1.79567i | ||||
\(416\) | −33.0361 | + | 24.0021i | −1.61973 | + | 1.17680i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.7549 | + | 4.53800i | 0.672776 | + | 0.221961i | ||||
\(419\) | −0.224640 | −0.0109744 | −0.00548719 | − | 0.999985i | \(-0.501747\pi\) | ||||
−0.00548719 | + | 0.999985i | \(0.501747\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.56288 | + | 10.9654i | 0.173644 | + | 0.534422i | 0.999569 | − | 0.0293585i | \(-0.00934643\pi\) |
−0.825925 | + | 0.563780i | \(0.809346\pi\) | |||||||
\(422\) | 3.25530 | − | 10.0188i | 0.158465 | − | 0.487706i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.1606 | + | 9.56175i | 0.639136 | + | 0.464359i | ||||
\(425\) | 6.60438 | − | 20.3262i | 0.320359 | − | 0.985964i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.83043 | − | 3.50951i | 0.233761 | − | 0.169837i | ||||
\(428\) | −6.44630 | −0.311593 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 25.4766 | 1.22859 | ||||||||
\(431\) | −22.5643 | + | 16.3940i | −1.08689 | + | 0.789669i | −0.978871 | − | 0.204480i | \(-0.934450\pi\) |
−0.108016 | + | 0.994149i | \(0.534450\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.02421 | − | 24.6960i | 0.385619 | − | 1.18681i | −0.550412 | − | 0.834893i | \(-0.685529\pi\) |
0.936030 | − | 0.351919i | \(-0.114471\pi\) | |||||||
\(434\) | 1.73224 | + | 1.25854i | 0.0831500 | + | 0.0604120i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.451912 | − | 1.39084i | 0.0216427 | − | 0.0666093i | ||||
\(437\) | 1.28771 | + | 3.96316i | 0.0615995 | + | 0.189584i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 23.5551 | 1.12422 | 0.562112 | − | 0.827061i | \(-0.309989\pi\) | ||||
0.562112 | + | 0.827061i | \(0.309989\pi\) | |||||||
\(440\) | −0.111523 | + | 24.7034i | −0.00531666 | + | 1.17769i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −28.4966 | + | 20.7040i | −1.35545 | + | 0.984789i | ||||
\(443\) | 7.67635 | + | 23.6254i | 0.364714 | + | 1.12248i | 0.950160 | + | 0.311764i | \(0.100920\pi\) |
−0.585445 | + | 0.810712i | \(0.699080\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −38.4807 | − | 27.9579i | −1.82416 | − | 1.32533i | ||||
\(446\) | −4.67007 | − | 3.39300i | −0.221134 | − | 0.160663i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.836158 | + | 2.57343i | 0.0395048 | + | 0.121583i | ||||
\(449\) | 14.8961 | − | 10.8227i | 0.702993 | − | 0.510754i | −0.177913 | − | 0.984046i | \(-0.556935\pi\) |
0.880906 | + | 0.473292i | \(0.156935\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.17147 | − | 3.01732i | −0.102251 | − | 0.142080i | ||||
\(452\) | −18.8426 | −0.886279 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.0692602 | + | 0.213161i | 0.00325054 | + | 0.0100041i | ||||
\(455\) | −6.16794 | + | 18.9830i | −0.289157 | + | 0.889935i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.73256 | − | 2.71186i | −0.174602 | − | 0.126856i | 0.497052 | − | 0.867721i | \(-0.334416\pi\) |
−0.671654 | + | 0.740865i | \(0.734416\pi\) | |||||||
\(458\) | −1.66857 | + | 5.13534i | −0.0779673 | + | 0.239959i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.39070 | + | 1.73694i | −0.111467 | + | 0.0809853i | ||||
\(461\) | 33.5148 | 1.56094 | 0.780470 | − | 0.625193i | \(-0.214980\pi\) | ||||
0.780470 | + | 0.625193i | \(0.214980\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.5338 | −0.768392 | −0.384196 | − | 0.923252i | \(-0.625521\pi\) | ||||
−0.384196 | + | 0.923252i | \(0.625521\pi\) | |||||||
\(464\) | −5.34286 | + | 3.88182i | −0.248036 | + | 0.180209i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.40610 | + | 7.40521i | −0.111460 | + | 0.343040i | ||||
\(467\) | 15.7310 | + | 11.4292i | 0.727944 | + | 0.528882i | 0.888912 | − | 0.458077i | \(-0.151462\pi\) |
−0.160969 | + | 0.986960i | \(0.551462\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.20176 | − | 9.85400i | 0.147844 | − | 0.455016i | ||||
\(470\) | −3.48919 | − | 10.7386i | −0.160944 | − | 0.495336i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 10.3522 | 0.476501 | ||||||||
\(473\) | 36.9882 | − | 11.8339i | 1.70072 | − | 0.544122i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 14.9336 | − | 10.8499i | 0.685200 | − | 0.497827i | ||||
\(476\) | −2.92880 | − | 9.01393i | −0.134242 | − | 0.413153i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.1665 | − | 8.83945i | −0.556481 | − | 0.404307i | ||||
\(479\) | −31.7747 | − | 23.0857i | −1.45182 | − | 1.05481i | −0.985401 | − | 0.170250i | \(-0.945543\pi\) |
−0.466423 | − | 0.884562i | \(-0.654457\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.70713 | + | 11.4094i | 0.169031 | + | 0.520223i | ||||
\(482\) | −12.3055 | + | 8.94045i | −0.560499 | + | 0.407227i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.70365 | + | 14.9338i | 0.213802 | + | 0.678809i | ||||
\(485\) | 28.9736 | 1.31562 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.28443 | − | 16.2638i | −0.239461 | − | 0.736984i | −0.996498 | − | 0.0836126i | \(-0.973354\pi\) |
0.757038 | − | 0.653371i | \(-0.226646\pi\) | |||||||
\(488\) | −4.79638 | + | 14.7617i | −0.217122 | + | 0.668233i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.76023 | + | 1.27888i | 0.0795191 | + | 0.0577740i | ||||
\(491\) | −10.7494 | + | 33.0833i | −0.485115 | + | 1.49303i | 0.346700 | + | 0.937976i | \(0.387302\pi\) |
−0.831815 | + | 0.555053i | \(0.812698\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −40.7657 | + | 29.6180i | −1.83600 | + | 1.33393i | ||||
\(494\) | −30.4224 | −1.36877 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.46076 | 0.110491 | ||||||||
\(497\) | 0.805120 | − | 0.584954i | 0.0361146 | − | 0.0262388i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.83850 | − | 14.8914i | 0.216601 | − | 0.666629i | −0.782435 | − | 0.622732i | \(-0.786023\pi\) |
0.999036 | − | 0.0438968i | \(-0.0139773\pi\) | |||||||
\(500\) | −5.90709 | − | 4.29175i | −0.264173 | − | 0.191933i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.631951 | − | 1.94494i | 0.0282053 | − | 0.0868071i | ||||
\(503\) | 6.76687 | + | 20.8263i | 0.301720 | + | 0.928598i | 0.980881 | + | 0.194609i | \(0.0623438\pi\) |
−0.679161 | + | 0.733989i | \(0.737656\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 18.4050 | 0.819012 | ||||||||
\(506\) | 1.07929 | − | 1.47150i | 0.0479802 | − | 0.0654160i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 18.7623 | − | 13.6316i | 0.832443 | − | 0.604805i | ||||
\(509\) | 8.29518 | + | 25.5299i | 0.367677 | + | 1.13159i | 0.948287 | + | 0.317413i | \(0.102814\pi\) |
−0.580610 | + | 0.814182i | \(0.697186\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.86136 | − | 2.07890i | −0.126579 | − | 0.0919653i | ||||
\(512\) | 7.80948 | + | 5.67392i | 0.345134 | + | 0.250754i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −5.95067 | − | 18.3143i | −0.262473 | − | 0.807809i | ||||
\(515\) | 20.7647 | − | 15.0864i | 0.915000 | − | 0.664787i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.0539 | − | 13.9702i | −0.442170 | − | 0.614408i | ||||
\(518\) | 1.30771 | 0.0574574 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −16.0340 | − | 49.3477i | −0.703139 | − | 2.16404i | ||||
\(521\) | 4.93408 | − | 15.1855i | 0.216166 | − | 0.665291i | −0.782903 | − | 0.622144i | \(-0.786262\pi\) |
0.999069 | − | 0.0431466i | \(-0.0137383\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.7132 | − | 7.78356i | −0.468453 | − | 0.340351i | 0.328385 | − | 0.944544i | \(-0.393496\pi\) |
−0.796838 | + | 0.604193i | \(0.793496\pi\) | |||||||
\(524\) | −2.72629 | + | 8.39067i | −0.119099 | + | 0.366548i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.55963 | + | 4.03931i | −0.242411 | + | 0.176122i | ||||
\(527\) | 18.7755 | 0.817873 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.4750 | −0.977173 | ||||||||
\(530\) | −11.0150 | + | 8.00288i | −0.478462 | + | 0.347623i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.52957 | − | 7.78523i | 0.109671 | − | 0.337533i | ||||
\(533\) | 6.31688 | + | 4.58948i | 0.273615 | + | 0.198793i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.00994 | − | 12.3413i | 0.173365 | − | 0.533562i | ||||
\(536\) | 8.32323 | + | 25.6163i | 0.359509 | + | 1.10645i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.07526 | −0.0894706 | ||||||||
\(539\) | 3.14964 | + | 1.03912i | 0.135665 | + | 0.0447582i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 20.7068 | − | 15.0444i | 0.890256 | − | 0.646809i | −0.0456887 | − | 0.998956i | \(-0.514548\pi\) |
0.935945 | + | 0.352147i | \(0.114548\pi\) | |||||||
\(542\) | −4.21256 | − | 12.9649i | −0.180945 | − | 0.556891i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 31.5780 | + | 22.9427i | 1.35389 | + | 0.983662i | ||||
\(545\) | 2.38163 | + | 1.73036i | 0.102018 | + | 0.0741204i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.31845 | + | 28.6792i | 0.398428 | + | 1.22624i | 0.926259 | + | 0.376887i | \(0.123005\pi\) |
−0.527831 | + | 0.849349i | \(0.676995\pi\) | |||||||
\(548\) | 18.4354 | − | 13.3941i | 0.787522 | − | 0.572168i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −7.67660 | − | 2.53265i | −0.327331 | − | 0.107993i | ||||
\(551\) | −43.5206 | −1.85404 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.206978 | − | 0.637012i | −0.00880159 | − | 0.0270885i | ||||
\(554\) | 2.61649 | − | 8.05273i | 0.111164 | − | 0.342128i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.31316 | + | 3.86024i | 0.225328 | + | 0.163711i | ||||
\(557\) | −0.226688 | + | 0.697675i | −0.00960509 | + | 0.0295614i | −0.955744 | − | 0.294199i | \(-0.904947\pi\) |
0.946139 | + | 0.323760i | \(0.104947\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −65.9905 | + | 47.9449i | −2.79110 | + | 2.02785i | ||||
\(560\) | 2.50053 | 0.105667 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.00890 | −0.126923 | ||||||||
\(563\) | 16.9114 | − | 12.2868i | 0.712730 | − | 0.517828i | −0.171324 | − | 0.985215i | \(-0.554804\pi\) |
0.884053 | + | 0.467387i | \(0.154804\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 11.7211 | − | 36.0738i | 0.493109 | − | 1.51763i | ||||
\(566\) | 3.53190 | + | 2.56607i | 0.148457 | + | 0.107860i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.799445 | + | 2.46044i | −0.0335440 | + | 0.103238i | ||||
\(569\) | 8.73053 | + | 26.8698i | 0.366003 | + | 1.12644i | 0.949351 | + | 0.314218i | \(0.101742\pi\) |
−0.583348 | + | 0.812222i | \(0.698258\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 38.7512 | 1.62169 | 0.810843 | − | 0.585264i | \(-0.199009\pi\) | ||||
0.810843 | + | 0.585264i | \(0.199009\pi\) | |||||||
\(572\) | −19.2095 | − | 26.6922i | −0.803189 | − | 1.11606i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.688585 | − | 0.500286i | 0.0287410 | − | 0.0208815i | ||||
\(575\) | −0.718667 | − | 2.21183i | −0.0299705 | − | 0.0922397i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.2889 | − | 7.47535i | −0.428334 | − | 0.311203i | 0.352648 | − | 0.935756i | \(-0.385281\pi\) |
−0.780982 | + | 0.624553i | \(0.785281\pi\) | |||||||
\(578\) | 16.7951 | + | 12.2024i | 0.698585 | + | 0.507552i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −9.53693 | − | 29.3517i | −0.396000 | − | 1.21876i | ||||
\(581\) | −10.8603 | + | 7.89044i | −0.450560 | + | 0.327351i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12.2748 | + | 16.7355i | −0.508372 | + | 0.693113i | ||||
\(584\) | 9.19430 | 0.380463 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −5.45430 | − | 16.7866i | −0.225315 | − | 0.693448i | ||||
\(587\) | 2.40107 | − | 7.38974i | 0.0991029 | − | 0.305007i | −0.889198 | − | 0.457522i | \(-0.848737\pi\) |
0.988301 | + | 0.152515i | \(0.0487371\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.1192 | + | 9.53162i | 0.540565 | + | 0.392744i | ||||
\(590\) | −2.67748 | + | 8.24043i | −0.110230 | + | 0.339253i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.21587 | − | 0.883383i | 0.0499720 | − | 0.0363068i | ||||
\(593\) | −25.2949 | −1.03874 | −0.519368 | − | 0.854551i | \(-0.673832\pi\) | ||||
−0.519368 | + | 0.854551i | \(0.673832\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 19.0789 | 0.782159 | ||||||||
\(596\) | −8.31220 | + | 6.03917i | −0.340481 | + | 0.247374i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.18444 | + | 3.64534i | −0.0484355 | + | 0.149069i | ||||
\(599\) | 9.64302 | + | 7.00606i | 0.394003 | + | 0.286260i | 0.767094 | − | 0.641535i | \(-0.221702\pi\) |
−0.373091 | + | 0.927795i | \(0.621702\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.49264 | − | 19.9823i | 0.264840 | − | 0.815095i | −0.726890 | − | 0.686754i | \(-0.759035\pi\) |
0.991730 | − | 0.128341i | \(-0.0409650\pi\) | |||||||
\(602\) | 2.74765 | + | 8.45638i | 0.111986 | + | 0.344657i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.891525 | −0.0362756 | ||||||||
\(605\) | −31.5165 | − | 0.284566i | −1.28133 | − | 0.0115693i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −20.8578 | + | 15.1541i | −0.846593 | + | 0.615086i | −0.924204 | − | 0.381898i | \(-0.875271\pi\) |
0.0776118 | + | 0.996984i | \(0.475271\pi\) | |||||||
\(608\) | 10.4176 | + | 32.0620i | 0.422488 | + | 1.30028i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10.5099 | − | 7.63588i | −0.425533 | − | 0.309168i | ||||
\(611\) | 29.2471 | + | 21.2493i | 1.18321 | + | 0.859654i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.86298 | − | 30.3551i | −0.398362 | − | 1.22603i | −0.926312 | − | 0.376757i | \(-0.877039\pi\) |
0.527950 | − | 0.849275i | \(-0.322961\pi\) | |||||||
\(614\) | 2.38326 | − | 1.73154i | 0.0961807 | − | 0.0698794i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.21179 | + | 2.62725i | −0.330863 | + | 0.105855i | ||||
\(617\) | 13.9772 | 0.562701 | 0.281350 | − | 0.959605i | \(-0.409218\pi\) | ||||
0.281350 | + | 0.959605i | \(0.409218\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.94500 | + | 21.3745i | 0.279143 | + | 0.859114i | 0.988093 | + | 0.153856i | \(0.0491691\pi\) |
−0.708950 | + | 0.705259i | \(0.750831\pi\) | |||||||
\(620\) | −3.55354 | + | 10.9367i | −0.142714 | + | 0.439228i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.30167 | + | 1.67226i | 0.0922884 | + | 0.0670515i | ||||
\(623\) | 5.12986 | − | 15.7881i | 0.205523 | − | 0.632536i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.8744 | − | 18.0723i | 0.994974 | − | 0.722891i | ||||
\(626\) | −13.7173 | −0.548252 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.75018 | 0.349170 | ||||||||
\(629\) | 9.27704 | − | 6.74016i | 0.369900 | − | 0.268748i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.6815 | + | 39.0297i | −0.504843 | + | 1.55375i | 0.296190 | + | 0.955129i | \(0.404284\pi\) |
−0.801034 | + | 0.598619i | \(0.795716\pi\) | |||||||
\(632\) | 1.40865 | + | 1.02344i | 0.0560330 | + | 0.0407103i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.73984 | + | 5.35469i | −0.0690980 | + | 0.212662i | ||||
\(635\) | 14.4264 | + | 44.3998i | 0.572493 | + | 1.76195i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.96619 | −0.276010 | ||||||||
\(638\) | 11.1327 | + | 15.4692i | 0.440747 | + | 0.612432i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −22.4131 | + | 16.2840i | −0.885954 | + | 0.643683i | ||||
\(641\) | 4.27426 | + | 13.1548i | 0.168823 | + | 0.519584i | 0.999298 | − | 0.0374724i | \(-0.0119306\pi\) |
−0.830475 | + | 0.557057i | \(0.811931\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27.1122 | + | 19.6982i | 1.06920 | + | 0.776820i | 0.975768 | − | 0.218806i | \(-0.0702160\pi\) |
0.0934326 | + | 0.995626i | \(0.470216\pi\) | |||||||
\(644\) | −0.834376 | − | 0.606210i | −0.0328790 | − | 0.0238880i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 8.98610 | + | 27.6564i | 0.353553 | + | 1.08813i | ||||
\(647\) | 6.94635 | − | 5.04682i | 0.273089 | − | 0.198411i | −0.442808 | − | 0.896616i | \(-0.646018\pi\) |
0.715897 | + | 0.698205i | \(0.246018\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.0596253 | + | 13.2076i | −0.00234050 | + | 0.518443i | ||||
\(650\) | 16.9787 | 0.665957 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.51892 | − | 29.2962i | −0.372789 | − | 1.14733i | ||||
\(653\) | 14.6622 | − | 45.1255i | 0.573775 | − | 1.76590i | −0.0665369 | − | 0.997784i | \(-0.521195\pi\) |
0.640312 | − | 0.768115i | \(-0.278805\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.3679 | − | 10.4389i | −0.561400 | − | 0.407881i | ||||
\(656\) | 0.302275 | − | 0.930306i | 0.0118018 | − | 0.0363224i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 3.18814 | − | 2.31632i | 0.124287 | − | 0.0902996i | ||||
\(659\) | 47.4501 | 1.84839 | 0.924197 | − | 0.381916i | \(-0.124736\pi\) | ||||
0.924197 | + | 0.381916i | \(0.124736\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.3627 | −0.947599 | −0.473800 | − | 0.880633i | \(-0.657118\pi\) | ||||
−0.473800 | + | 0.880633i | \(0.657118\pi\) | |||||||
\(662\) | 8.91846 | − | 6.47964i | 0.346626 | − | 0.251838i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.7837 | − | 33.1888i | 0.418489 | − | 1.28798i | ||||
\(665\) | 13.3312 | + | 9.68566i | 0.516961 | + | 0.375594i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.69440 | + | 5.21483i | −0.0656075 | + | 0.201919i | ||||
\(668\) | 10.5540 | + | 32.4817i | 0.408345 | + | 1.25676i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −22.5433 | −0.870926 | ||||||||
\(671\) | −18.8057 | − | 6.20433i | −0.725985 | − | 0.239516i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.8454 | + | 18.7778i | −0.996268 | + | 0.723831i | −0.961285 | − | 0.275557i | \(-0.911138\pi\) |
−0.0349835 | + | 0.999388i | \(0.511138\pi\) | |||||||
\(674\) | −2.47664 | − | 7.62230i | −0.0953965 | − | 0.293600i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 40.9112 | + | 29.7237i | 1.57351 | + | 1.14322i | ||||
\(677\) | −0.820859 | − | 0.596389i | −0.0315482 | − | 0.0229211i | 0.571899 | − | 0.820324i | \(-0.306207\pi\) |
−0.603448 | + | 0.797403i | \(0.706207\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.12480 | + | 9.61714i | 0.119919 | + | 0.369072i | ||||
\(680\) | −40.1249 | + | 29.1525i | −1.53872 | + | 1.11795i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.0320589 | − | 7.10136i | 0.00122760 | − | 0.271925i | ||||
\(683\) | −0.904878 | −0.0346242 | −0.0173121 | − | 0.999850i | \(-0.505511\pi\) | ||||
−0.0173121 | + | 0.999850i | \(0.505511\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.1750 | + | 43.6262i | 0.541599 | + | 1.66687i | ||||
\(686\) | −0.234656 | + | 0.722197i | −0.00895921 | + | 0.0275736i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 8.26715 | + | 6.00644i | 0.315182 | + | 0.228993i | ||||
\(689\) | 13.4708 | − | 41.4588i | 0.513196 | − | 1.57945i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.3563 | − | 12.6101i | 0.660263 | − | 0.479709i | −0.206489 | − | 0.978449i | \(-0.566204\pi\) |
0.866752 | + | 0.498740i | \(0.166204\pi\) | |||||||
\(692\) | 15.3878 | 0.584958 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 17.0932 | 0.648851 | ||||||||
\(695\) | −10.6954 | + | 7.77069i | −0.405701 | + | 0.294759i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.30634 | − | 7.09819i | 0.0873589 | − | 0.268863i | ||||
\(698\) | −12.7294 | − | 9.24848i | −0.481816 | − | 0.350060i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.41175 | + | 4.34492i | −0.0533591 | + | 0.164223i | ||||
\(701\) | 5.89450 | + | 18.1414i | 0.222632 | + | 0.685192i | 0.998523 | + | 0.0543248i | \(0.0173006\pi\) |
−0.775891 | + | 0.630867i | \(0.782699\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.90396 | 0.373535 | ||||||||
\(704\) | 5.30771 | − | 7.23651i | 0.200042 | − | 0.272736i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.69500 | − | 2.68457i | 0.139063 | − | 0.101035i | ||||
\(707\) | 1.98498 | + | 6.10914i | 0.0746528 | + | 0.229758i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.86023 | + | 5.71079i | 0.295197 | + | 0.214473i | 0.725519 | − | 0.688202i | \(-0.241600\pi\) |
−0.430322 | + | 0.902676i | \(0.641600\pi\) | |||||||
\(710\) | −1.75175 | − | 1.27272i | −0.0657421 | − | 0.0477644i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 13.3355 | + | 41.0424i | 0.499768 | + | 1.53813i | ||||
\(713\) | 1.65289 | − | 1.20090i | 0.0619013 | − | 0.0449739i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 63.0511 | − | 20.1723i | 2.35798 | − | 0.754401i | ||||
\(716\) | −8.43828 | −0.315353 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.33410 | + | 13.3390i | 0.161747 | + | 0.497807i | ||||
\(719\) | 3.77630 | − | 11.6223i | 0.140832 | − | 0.433437i | −0.855619 | − | 0.517606i | \(-0.826823\pi\) |
0.996452 | + | 0.0841686i | \(0.0268234\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.24707 | + | 5.26530i | 0.269895 | + | 0.196090i | ||||
\(722\) | −3.30272 | + | 10.1647i | −0.122915 | + | 0.378292i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −5.58050 | + | 4.05447i | −0.207398 | + | 0.150683i | ||||
\(725\) | 24.2888 | 0.902062 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.0225849 | 0.000837628 | 0.000418814 | − | 1.00000i | \(-0.499867\pi\) | ||||
0.000418814 | 1.00000i | \(0.499867\pi\) | ||||||||
\(728\) | 14.6506 | − | 10.6443i | 0.542988 | − | 0.394504i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.37799 | + | 7.31870i | −0.0880134 | + | 0.270877i | ||||
\(731\) | 63.0779 | + | 45.8288i | 2.33302 | + | 1.69504i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.63230 | − | 5.02369i | 0.0602902 | − | 0.185554i | −0.916375 | − | 0.400320i | \(-0.868899\pi\) |
0.976666 | + | 0.214766i | \(0.0688989\pi\) | |||||||
\(734\) | 0.945642 | + | 2.91039i | 0.0349043 | + | 0.107424i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.24740 | 0.156561 | ||||||||
\(737\) | −32.7296 | + | 10.4714i | −1.20561 | + | 0.385718i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 29.1919 | − | 21.2091i | 1.07384 | − | 0.780191i | 0.0972419 | − | 0.995261i | \(-0.468998\pi\) |
0.976599 | + | 0.215070i | \(0.0689979\pi\) | |||||||
\(740\) | 2.17031 | + | 6.67954i | 0.0797823 | + | 0.245545i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.84435 | − | 2.79308i | −0.141130 | − | 0.102537i | ||||
\(743\) | −27.6724 | − | 20.1052i | −1.01520 | − | 0.737587i | −0.0499072 | − | 0.998754i | \(-0.515893\pi\) |
−0.965294 | + | 0.261167i | \(0.915893\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.39126 | − | 19.6703i | −0.234158 | − | 0.720663i | ||||
\(746\) | 3.11200 | − | 2.26100i | 0.113938 | − | 0.0827810i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −18.5913 | + | 25.3472i | −0.679764 | + | 0.926787i | ||||
\(749\) | 4.52891 | 0.165483 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.26664 | + | 6.97600i | 0.0827108 | + | 0.254558i | 0.983857 | − | 0.178958i | \(-0.0572727\pi\) |
−0.901146 | + | 0.433516i | \(0.857273\pi\) | |||||||
\(752\) | 1.39953 | − | 4.30731i | 0.0510356 | − | 0.157071i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −32.3854 | − | 23.5294i | −1.17941 | − | 0.856889i | ||||
\(755\) | 0.554576 | − | 1.70681i | 0.0201831 | − | 0.0621172i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 28.2299 | − | 20.5102i | 1.02603 | − | 0.745457i | 0.0585230 | − | 0.998286i | \(-0.481361\pi\) |
0.967511 | + | 0.252829i | \(0.0813609\pi\) | |||||||
\(758\) | −1.66800 | −0.0605844 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −42.8365 | −1.55384 | ||||||||
\(761\) | 1.85160 | − | 1.34527i | 0.0671205 | − | 0.0487659i | −0.553719 | − | 0.832704i | \(-0.686792\pi\) |
0.620840 | + | 0.783938i | \(0.286792\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.317495 | + | 0.977150i | −0.0114941 | + | 0.0353752i | ||||
\(764\) | −18.0702 | − | 13.1287i | −0.653756 | − | 0.474981i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.74571 | − | 17.6835i | 0.207601 | − | 0.638930i | ||||
\(767\) | −8.57253 | − | 26.3835i | −0.309536 | − | 0.952654i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.59977 | −0.346176 | −0.173088 | − | 0.984906i | \(-0.555375\pi\) | ||||
−0.173088 | + | 0.984906i | \(0.555375\pi\) | |||||||
\(770\) | 0.0325770 | − | 7.21612i | 0.00117399 | − | 0.260051i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −26.2028 | + | 19.0375i | −0.943060 | + | 0.685173i | ||||
\(773\) | −4.25705 | − | 13.1019i | −0.153116 | − | 0.471241i | 0.844850 | − | 0.535004i | \(-0.179690\pi\) |
−0.997965 | + | 0.0637628i | \(0.979690\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.32177 | − | 5.31958i | −0.263006 | − | 0.191085i | ||||
\(776\) | −21.2667 | − | 15.4512i | −0.763431 | − | 0.554665i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.05358 | − | 24.7864i | −0.288735 | − | 0.888634i | ||||
\(779\) | 5.21502 | − | 3.78893i | 0.186847 | − | 0.135753i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.13447 | − | 1.03412i | −0.112160 | − | 0.0370036i | ||||
\(782\) | 3.66377 | 0.131016 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.269682 | + | 0.829996i | 0.00963150 | + | 0.0296427i | ||||
\(785\) | −5.44308 | + | 16.7521i | −0.194272 | + | 0.597908i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.81440 | + | 1.31824i | 0.0646763 | + | 0.0469901i | 0.619654 | − | 0.784875i | \(-0.287273\pi\) |
−0.554977 | + | 0.831865i | \(0.687273\pi\) | |||||||
\(788\) | −6.73072 | + | 20.7150i | −0.239772 | + | 0.737942i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.17899 | + | 0.856589i | −0.0419467 | + | 0.0304761i | ||||
\(791\) | 13.2380 | 0.470689 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 41.5933 | 1.47702 | ||||||||
\(794\) | 5.20186 | − | 3.77937i | 0.184607 | − | 0.134125i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.240953 | − | 0.741578i | 0.00854036 | − | 0.0262845i | ||||
\(797\) | −14.7167 | − | 10.6923i | −0.521293 | − | 0.378741i | 0.295798 | − | 0.955251i | \(-0.404414\pi\) |
−0.817091 | + | 0.576509i | \(0.804414\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.6783 | − | 32.8646i | 0.377773 | − | 1.16266i | ||||
\(800\) | −5.81402 | − | 17.8937i | −0.205557 | − | 0.632638i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −21.9516 | −0.775139 | ||||||||
\(803\) | −0.0529560 | + | 11.7303i | −0.00186878 | + | 0.413952i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.67961 | − | 1.22030i | 0.0591983 | − | 0.0430101i | ||||
\(806\) | 4.60922 | + | 14.1857i | 0.162353 | + | 0.499670i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −13.5093 | − | 9.81511i | −0.475257 | − | 0.345294i | ||||
\(809\) | 25.2420 | + | 18.3394i | 0.887463 | + | 0.644780i | 0.935215 | − | 0.354079i | \(-0.115206\pi\) |
−0.0477521 | + | 0.998859i | \(0.515206\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.78729 | − | 23.9668i | −0.273449 | − | 0.841589i | −0.989626 | − | 0.143670i | \(-0.954110\pi\) |
0.716177 | − | 0.697919i | \(-0.245890\pi\) | |||||||
\(812\) | 8.71408 | − | 6.33115i | 0.305804 | − | 0.222180i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.53346 | − | 3.52032i | −0.0887977 | − | 0.123387i | ||||
\(815\) | 62.0084 | 2.17206 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 20.8094 | + | 64.0447i | 0.728028 | + | 2.24064i | ||||
\(818\) | 0.374409 | − | 1.15231i | 0.0130909 | − | 0.0402896i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.69817 | + | 2.68688i | 0.129146 | + | 0.0938299i | ||||
\(821\) | −3.67308 | + | 11.3046i | −0.128191 | + | 0.394532i | −0.994469 | − | 0.105030i | \(-0.966506\pi\) |
0.866278 | + | 0.499563i | \(0.166506\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.17171 | + | 4.48401i | −0.215132 | + | 0.156303i | −0.690133 | − | 0.723683i | \(-0.742448\pi\) |
0.475000 | + | 0.879986i | \(0.342448\pi\) | |||||||
\(824\) | −23.2867 | −0.811231 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.02399 | −0.105218 | ||||||||
\(827\) | 9.22846 | − | 6.70487i | 0.320905 | − | 0.233151i | −0.415657 | − | 0.909522i | \(-0.636448\pi\) |
0.736562 | + | 0.676370i | \(0.236448\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.7968 | + | 42.4622i | −0.479183 | + | 1.47477i | 0.361050 | + | 0.932546i | \(0.382418\pi\) |
−0.840233 | + | 0.542226i | \(0.817582\pi\) | |||||||
\(830\) | 23.6294 | + | 17.1678i | 0.820188 | + | 0.595902i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.82484 | + | 17.9270i | −0.201940 | + | 0.621507i | ||||
\(833\) | 2.05766 | + | 6.33282i | 0.0712936 | + | 0.219419i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −68.7509 | −2.37922 | ||||||||
\(836\) | −25.8583 | + | 8.27300i | −0.894328 | + | 0.286128i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.138005 | + | 0.100266i | −0.00476730 | + | 0.00346364i | ||||
\(839\) | 3.11638 | + | 9.59122i | 0.107589 | + | 0.331126i | 0.990329 | − | 0.138736i | \(-0.0443039\pi\) |
−0.882740 | + | 0.469861i | \(0.844304\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.8673 | − | 16.6141i | −0.788529 | − | 0.572900i | ||||
\(842\) | 7.08315 | + | 5.14621i | 0.244101 | + | 0.177350i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 6.10180 | + | 18.7794i | 0.210033 | + | 0.646414i | ||||
\(845\) | −82.3546 | + | 59.8341i | −2.83308 | + | 2.05836i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.30459 | − | 10.4919i | −0.113547 | − | 0.360505i | ||||
\(848\) | −5.46116 | −0.187537 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −5.01512 | − | 15.4350i | −0.172017 | − | 0.529415i | ||||
\(851\) | 0.385594 | − | 1.18674i | 0.0132180 | − | 0.0406808i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.3816 | + | 11.1754i | 0.526654 | + | 0.382637i | 0.819105 | − | 0.573644i | \(-0.194471\pi\) |
−0.292450 | + | 0.956281i | \(0.594471\pi\) | |||||||
\(854\) | 1.40107 | − | 4.31205i | 0.0479437 | − | 0.147555i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.52476 | + | 6.92014i | −0.325550 | + | 0.236526i | ||||
\(857\) | −29.8781 | −1.02062 | −0.510308 | − | 0.859992i | \(-0.670469\pi\) | ||||
−0.510308 | + | 0.859992i | \(0.670469\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −16.6976 | −0.569714 | −0.284857 | − | 0.958570i | \(-0.591946\pi\) | ||||
−0.284857 | + | 0.958570i | \(0.591946\pi\) | |||||||
\(860\) | −38.6337 | + | 28.0690i | −1.31740 | + | 0.957145i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.54481 | + | 20.1429i | −0.222917 | + | 0.686068i | ||||
\(863\) | −13.5768 | − | 9.86413i | −0.462160 | − | 0.335779i | 0.332218 | − | 0.943203i | \(-0.392203\pi\) |
−0.794378 | + | 0.607424i | \(0.792203\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.57206 | + | 29.4598i | −0.325460 | + | 1.00166i | ||||
\(866\) | −6.09329 | − | 18.7532i | −0.207058 | − | 0.637260i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.01344 | −0.136225 | ||||||||
\(869\) | −1.31384 | + | 1.79128i | −0.0445690 | + | 0.0607651i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 58.3928 | − | 42.4248i | 1.97856 | − | 1.43751i | ||||
\(872\) | −0.825354 | − | 2.54018i | −0.0279500 | − | 0.0860213i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.56002 | + | 1.85996i | 0.0865938 | + | 0.0629141i | ||||
\(875\) | 4.15008 | + | 3.01521i | 0.140298 | + | 0.101933i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.71138 | + | 5.26709i | 0.0577893 | + | 0.177857i | 0.975784 | − | 0.218735i | \(-0.0701929\pi\) |
−0.917995 | + | 0.396592i | \(0.870193\pi\) | |||||||
\(878\) | 14.4708 | − | 10.5136i | 0.488365 | − | 0.354818i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.84435 | − | 6.73137i | −0.163303 | − | 0.226915i | ||||
\(881\) | −6.77615 | −0.228294 | −0.114147 | − | 0.993464i | \(-0.536414\pi\) | ||||
−0.114147 | + | 0.993464i | \(0.536414\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.40416 | − | 22.7877i | −0.249170 | − | 0.766866i | −0.994923 | − | 0.100643i | \(-0.967910\pi\) |
0.745753 | − | 0.666223i | \(-0.232090\pi\) | |||||||
\(884\) | 20.4026 | − | 62.7927i | 0.686213 | − | 2.11195i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 15.2609 | + | 11.0877i | 0.512699 | + | 0.372498i | ||||
\(887\) | −8.55610 | + | 26.3330i | −0.287286 | + | 0.884175i | 0.698418 | + | 0.715690i | \(0.253887\pi\) |
−0.985704 | + | 0.168485i | \(0.946113\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.1816 | + | 9.57702i | −0.442098 | + | 0.321203i | ||||
\(890\) | −36.1189 | −1.21071 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.8201 | 0.362285 | ||||||||
\(893\) | 24.1455 | − | 17.5427i | 0.807999 | − | 0.587045i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.24906 | − | 16.1550i | 0.175457 | − | 0.540001i | ||||
\(896\) | −7.82238 | − | 5.68329i | −0.261327 | − | 0.189865i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.32064 | − | 13.2976i | 0.144182 | − | 0.443746i | ||||
\(899\) | 6.59370 | + | 20.2933i | 0.219912 | + | 0.676820i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −41.6684 | −1.38817 | ||||||||
\(902\) | −2.68078 | − | 0.884436i | −0.0892601 | − | 0.0294485i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −27.8409 | + | 20.2276i | −0.925975 | + | 0.672760i | ||||
\(905\) | −4.29085 | − | 13.2059i | −0.142633 | − | 0.438978i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.1001 | − | 8.79121i | −0.401776 | − | 0.291907i | 0.368488 | − | 0.929633i | \(-0.379876\pi\) |
−0.770264 | + | 0.637725i | \(0.779876\pi\) | |||||||
\(908\) | −0.339881 | − | 0.246938i | −0.0112793 | − | 0.00819492i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.68371 | + | 14.4150i | 0.155263 | + | 0.477851i | ||||
\(911\) | −20.3804 | + | 14.8073i | −0.675234 | + | 0.490586i | −0.871773 | − | 0.489910i | \(-0.837030\pi\) |
0.196539 | + | 0.980496i | \(0.437030\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 42.2808 | + | 13.9492i | 1.39929 | + | 0.461651i | ||||
\(914\) | −3.50347 | −0.115884 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.12761 | − | 9.62580i | −0.103339 | − | 0.318045i | ||||
\(917\) | 1.91538 | − | 5.89494i | 0.0632515 | − | 0.194668i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −21.6652 | − | 15.7407i | −0.714668 | − | 0.519237i | 0.170008 | − | 0.985443i | \(-0.445621\pi\) |
−0.884676 | + | 0.466206i | \(0.845621\pi\) | |||||||
\(920\) | −1.66777 | + | 5.13286i | −0.0549846 | + | 0.169225i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 20.5894 | − | 14.9591i | 0.678076 | − | 0.492651i | ||||
\(923\) | 6.93263 | 0.228190 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.52738 | −0.181739 | ||||||||
\(926\) | −10.1574 | + | 7.37975i | −0.333791 | + | 0.242514i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −13.7077 | + | 42.1880i | −0.449978 | + | 1.38489i | ||||
\(929\) | 4.57116 | + | 3.32114i | 0.149975 | + | 0.108963i | 0.660242 | − | 0.751053i | \(-0.270454\pi\) |
−0.510267 | + | 0.860016i | \(0.670454\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.77718 | + | 5.46959i | −0.0582446 | + | 0.179258i | ||||
\(932\) | −4.51004 | − | 13.8805i | −0.147731 | − | 0.454670i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 14.7655 | 0.483142 | ||||||||
\(935\) | −36.9621 | − | 51.3600i | −1.20879 | − | 1.67965i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.6328 | − | 26.6153i | 1.19674 | − | 0.869484i | 0.202782 | − | 0.979224i | \(-0.435002\pi\) |
0.993960 | + | 0.109740i | \(0.0350018\pi\) | |||||||
\(938\) | −2.43130 | − | 7.48277i | −0.0793847 | − | 0.244321i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 17.1225 | + | 12.4402i | 0.558475 | + | 0.405756i | ||||
\(941\) | −26.4448 | − | 19.2133i | −0.862076 | − | 0.626335i | 0.0663733 | − | 0.997795i | \(-0.478857\pi\) |
−0.928449 | + | 0.371460i | \(0.878857\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.250969 | − | 0.772402i | −0.00817267 | − | 0.0251529i | ||||
\(944\) | −2.81163 | + | 2.04277i | −0.0915108 | + | 0.0664865i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 17.4413 | − | 23.7794i | 0.567066 | − | 0.773135i | ||||
\(947\) | 39.8004 | 1.29334 | 0.646669 | − | 0.762771i | \(-0.276162\pi\) | ||||
0.646669 | + | 0.762771i | \(0.276162\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.61365 | − | 23.4324i | −0.247150 | − | 0.760648i | ||||
\(950\) | 4.33150 | − | 13.3310i | 0.140533 | − | 0.432515i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −14.0040 | − | 10.1745i | −0.453872 | − | 0.329757i | ||||
\(953\) | 3.86809 | − | 11.9048i | 0.125300 | − | 0.385633i | −0.868656 | − | 0.495416i | \(-0.835016\pi\) |
0.993956 | + | 0.109783i | \(0.0350156\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 36.3754 | − | 26.4283i | 1.17708 | − | 0.855199i | ||||
\(956\) | 28.1886 | 0.911686 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −29.8245 | −0.963587 | ||||||||
\(959\) | −12.9520 | + | 9.41016i | −0.418241 | + | 0.303870i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.12266 | + | 21.9213i | −0.229763 | + | 0.707138i | ||||
\(962\) | 7.36993 | + | 5.35457i | 0.237616 | + | 0.172638i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 8.81030 | − | 27.1153i | 0.283761 | − | 0.873325i | ||||
\(965\) | −20.1474 | − | 62.0072i | −0.648566 | − | 1.99608i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.7139 | 0.408850 | 0.204425 | − | 0.978882i | \(-0.434468\pi\) | ||||
0.204425 | + | 0.978882i | \(0.434468\pi\) | |||||||
\(968\) | 22.9814 | + | 17.0161i | 0.738652 | + | 0.546919i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 17.7996 | − | 12.9321i | 0.571510 | − | 0.415226i | ||||
\(971\) | −6.98768 | − | 21.5059i | −0.224245 | − | 0.690156i | −0.998367 | − | 0.0571199i | \(-0.981808\pi\) |
0.774122 | − | 0.633037i | \(-0.218192\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.73281 | − | 2.71205i | −0.119669 | − | 0.0869443i | ||||
\(974\) | −10.5057 | − | 7.63281i | −0.336623 | − | 0.244571i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.61020 | − | 4.95569i | −0.0515413 | − | 0.158628i | ||||
\(977\) | 14.5376 | − | 10.5622i | 0.465098 | − | 0.337913i | −0.330430 | − | 0.943831i | \(-0.607194\pi\) |
0.795528 | + | 0.605917i | \(0.207194\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −52.4394 | + | 16.7772i | −1.67597 | + | 0.536203i | ||||
\(980\) | −4.07830 | −0.130277 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 8.16272 | + | 25.1223i | 0.260483 | + | 0.801683i | ||||
\(983\) | 14.8966 | − | 45.8471i | 0.475129 | − | 1.46230i | −0.370655 | − | 0.928771i | \(-0.620867\pi\) |
0.845784 | − | 0.533526i | \(-0.179133\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −35.4717 | − | 25.7717i | −1.13022 | − | 0.821155i | ||||
\(986\) | −11.8241 | + | 36.3910i | −0.376558 | + | 1.15892i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 46.1337 | − | 33.5181i | 1.46771 | − | 1.06635i | ||||
\(989\) | 8.48430 | 0.269785 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.62493 | −0.210448 | −0.105224 | − | 0.994449i | \(-0.533556\pi\) | ||||
−0.105224 | + | 0.994449i | \(0.533556\pi\) | |||||||
\(992\) | 13.3719 | − | 9.71526i | 0.424558 | − | 0.308460i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.233526 | − | 0.718719i | 0.00740699 | − | 0.0227964i | ||||
\(995\) | 1.26985 | + | 0.922602i | 0.0402571 | + | 0.0292485i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.69144 | + | 26.7495i | −0.275261 | + | 0.847165i | 0.713890 | + | 0.700258i | \(0.246932\pi\) |
−0.989150 | + | 0.146907i | \(0.953068\pi\) | |||||||
\(998\) | −3.67418 | − | 11.3080i | −0.116304 | − | 0.357947i | ||||
\(999\) | 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 | 693.2.m.k.190.5 | yes | 32 | |
3.2 | odd | 2 | inner | 693.2.m.k.190.4 | ✓ | 32 | |
11.2 | odd | 10 | 7623.2.a.db.1.10 | 16 | |||
11.4 | even | 5 | inner | 693.2.m.k.631.5 | yes | 32 | |
11.9 | even | 5 | 7623.2.a.dc.1.7 | 16 | |||
33.2 | even | 10 | 7623.2.a.db.1.7 | 16 | |||
33.20 | odd | 10 | 7623.2.a.dc.1.10 | 16 | |||
33.26 | odd | 10 | inner | 693.2.m.k.631.4 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
693.2.m.k.190.4 | ✓ | 32 | 3.2 | odd | 2 | inner | |
693.2.m.k.190.5 | yes | 32 | 1.1 | even | 1 | trivial | |
693.2.m.k.631.4 | yes | 32 | 33.26 | odd | 10 | inner | |
693.2.m.k.631.5 | yes | 32 | 11.4 | even | 5 | inner | |
7623.2.a.db.1.7 | 16 | 33.2 | even | 10 | |||
7623.2.a.db.1.10 | 16 | 11.2 | odd | 10 | |||
7623.2.a.dc.1.7 | 16 | 11.9 | even | 5 | |||
7623.2.a.dc.1.10 | 16 | 33.20 | odd | 10 |