Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(11,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.s (of order \(6\), degree \(2\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 210.11 |
Dual form | 210.3.s.a.191.13 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22474 | − | 0.707107i | 0.612372 | − | 0.353553i | ||||
\(3\) | −2.41792 | + | 1.77586i | −0.805973 | + | 0.591953i | ||||
\(4\) | 1.00000 | − | 1.73205i | 0.250000 | − | 0.433013i | ||||
\(5\) | −1.93649 | + | 1.11803i | −0.387298 | + | 0.223607i | ||||
\(6\) | −1.70561 | + | 3.88470i | −0.284268 | + | 0.647450i | ||||
\(7\) | −5.45202 | − | 4.39039i | −0.778860 | − | 0.627198i | ||||
\(8\) | − | 2.82843i | − | 0.353553i | ||||||
\(9\) | 2.69265 | − | 8.58776i | 0.299184 | − | 0.954196i | ||||
\(10\) | −1.58114 | + | 2.73861i | −0.158114 | + | 0.273861i | ||||
\(11\) | 3.43624 | + | 1.98392i | 0.312386 | + | 0.180356i | 0.647994 | − | 0.761646i | \(-0.275608\pi\) |
−0.335608 | + | 0.942002i | \(0.608942\pi\) | |||||||
\(12\) | 0.657959 | + | 5.96382i | 0.0548299 | + | 0.496985i | ||||
\(13\) | −22.5550 | −1.73500 | −0.867499 | − | 0.497439i | \(-0.834274\pi\) | ||||
−0.867499 | + | 0.497439i | \(0.834274\pi\) | |||||||
\(14\) | −9.78180 | − | 1.52194i | −0.698700 | − | 0.108710i | ||||
\(15\) | 2.69681 | − | 6.14225i | 0.179787 | − | 0.409483i | ||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | −13.7210 | − | 7.92182i | −0.807117 | − | 0.465989i | 0.0388368 | − | 0.999246i | \(-0.487635\pi\) |
−0.845954 | + | 0.533256i | \(0.820968\pi\) | |||||||
\(18\) | −2.77465 | − | 12.4218i | −0.154147 | − | 0.690100i | ||||
\(19\) | −14.1365 | − | 24.4851i | −0.744027 | − | 1.28869i | −0.950648 | − | 0.310271i | \(-0.899580\pi\) |
0.206621 | − | 0.978421i | \(-0.433753\pi\) | |||||||
\(20\) | 4.47214i | 0.223607i | ||||||||
\(21\) | 20.9792 | + | 0.933580i | 0.999011 | + | 0.0444562i | ||||
\(22\) | 5.61136 | 0.255062 | ||||||||
\(23\) | 8.65649 | − | 4.99782i | 0.376369 | − | 0.217297i | −0.299868 | − | 0.953981i | \(-0.596943\pi\) |
0.676237 | + | 0.736684i | \(0.263609\pi\) | |||||||
\(24\) | 5.02289 | + | 6.83890i | 0.209287 | + | 0.284954i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | −27.6241 | + | 15.9488i | −1.06247 | + | 0.613414i | ||||
\(27\) | 8.74003 | + | 25.5463i | 0.323705 | + | 0.946158i | ||||
\(28\) | −13.0564 | + | 5.05279i | −0.466300 | + | 0.180457i | ||||
\(29\) | 23.4934i | 0.810117i | 0.914291 | + | 0.405058i | \(0.132749\pi\) | ||||
−0.914291 | + | 0.405058i | \(0.867251\pi\) | |||||||
\(30\) | −1.04033 | − | 9.42962i | −0.0346775 | − | 0.314321i | ||||
\(31\) | 2.22037 | − | 3.84579i | 0.0716248 | − | 0.124058i | −0.827989 | − | 0.560745i | \(-0.810515\pi\) |
0.899614 | + | 0.436687i | \(0.143848\pi\) | |||||||
\(32\) | −4.89898 | − | 2.82843i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −11.8317 | + | 1.30534i | −0.358536 | + | 0.0395556i | ||||
\(34\) | −22.4063 | −0.659008 | ||||||||
\(35\) | 15.4664 | + | 2.40640i | 0.441897 | + | 0.0687544i | ||||
\(36\) | −12.1818 | − | 13.2516i | −0.338383 | − | 0.368099i | ||||
\(37\) | 11.1661 | + | 19.3402i | 0.301785 | + | 0.522708i | 0.976540 | − | 0.215334i | \(-0.0690840\pi\) |
−0.674755 | + | 0.738042i | \(0.735751\pi\) | |||||||
\(38\) | −34.6272 | − | 19.9920i | −0.911243 | − | 0.526106i | ||||
\(39\) | 54.5361 | − | 40.0544i | 1.39836 | − | 1.02704i | ||||
\(40\) | 3.16228 | + | 5.47723i | 0.0790569 | + | 0.136931i | ||||
\(41\) | 37.0140i | 0.902781i | 0.892327 | + | 0.451390i | \(0.149072\pi\) | ||||
−0.892327 | + | 0.451390i | \(0.850928\pi\) | |||||||
\(42\) | 26.3544 | − | 13.6912i | 0.627485 | − | 0.325980i | ||||
\(43\) | −33.1548 | −0.771041 | −0.385521 | − | 0.922699i | \(-0.625978\pi\) | ||||
−0.385521 | + | 0.922699i | \(0.625978\pi\) | |||||||
\(44\) | 6.87248 | − | 3.96783i | 0.156193 | − | 0.0901780i | ||||
\(45\) | 4.38711 | + | 19.6406i | 0.0974913 | + | 0.436458i | ||||
\(46\) | 7.06799 | − | 12.2421i | 0.153652 | − | 0.266133i | ||||
\(47\) | 64.3880 | − | 37.1744i | 1.36996 | − | 0.790945i | 0.379035 | − | 0.925382i | \(-0.376256\pi\) |
0.990922 | + | 0.134437i | \(0.0429225\pi\) | |||||||
\(48\) | 10.9876 | + | 4.82420i | 0.228908 | + | 0.100504i | ||||
\(49\) | 10.4490 | + | 47.8729i | 0.213245 | + | 0.976999i | ||||
\(50\) | − | 7.07107i | − | 0.141421i | ||||||
\(51\) | 47.2442 | − | 5.21223i | 0.926358 | − | 0.102201i | ||||
\(52\) | −22.5550 | + | 39.0664i | −0.433750 | + | 0.751276i | ||||
\(53\) | −62.7080 | − | 36.2045i | −1.18317 | − | 0.683104i | −0.226424 | − | 0.974029i | \(-0.572704\pi\) |
−0.956746 | + | 0.290925i | \(0.906037\pi\) | |||||||
\(54\) | 28.7682 | + | 25.1075i | 0.532745 | + | 0.464954i | ||||
\(55\) | −8.87234 | −0.161315 | ||||||||
\(56\) | −12.4179 | + | 15.4206i | −0.221748 | + | 0.275369i | ||||
\(57\) | 77.6631 | + | 34.0986i | 1.36251 | + | 0.598222i | ||||
\(58\) | 16.6123 | + | 28.7734i | 0.286420 | + | 0.496093i | ||||
\(59\) | 52.8665 | + | 30.5225i | 0.896043 | + | 0.517330i | 0.875914 | − | 0.482467i | \(-0.160259\pi\) |
0.0201284 | + | 0.999797i | \(0.493593\pi\) | |||||||
\(60\) | −7.94188 | − | 10.8133i | −0.132365 | − | 0.180221i | ||||
\(61\) | 15.5109 | + | 26.8657i | 0.254277 | + | 0.440421i | 0.964699 | − | 0.263355i | \(-0.0848290\pi\) |
−0.710422 | + | 0.703776i | \(0.751496\pi\) | |||||||
\(62\) | − | 6.28015i | − | 0.101293i | ||||||
\(63\) | −52.3840 | + | 34.9988i | −0.831492 | + | 0.555537i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 43.6775 | − | 25.2172i | 0.671962 | − | 0.387957i | ||||
\(66\) | −13.5678 | + | 9.96498i | −0.205573 | + | 0.150985i | ||||
\(67\) | 0.891277 | − | 1.54374i | 0.0133026 | − | 0.0230408i | −0.859297 | − | 0.511476i | \(-0.829099\pi\) |
0.872600 | + | 0.488435i | \(0.162432\pi\) | |||||||
\(68\) | −27.4420 | + | 15.8436i | −0.403558 | + | 0.232995i | ||||
\(69\) | −12.0552 | + | 27.4570i | −0.174714 | + | 0.397928i | ||||
\(70\) | 20.6440 | − | 7.98916i | 0.294914 | − | 0.114131i | ||||
\(71\) | − | 89.7060i | − | 1.26346i | −0.775187 | − | 0.631732i | \(-0.782344\pi\) | ||
0.775187 | − | 0.631732i | \(-0.217656\pi\) | |||||||
\(72\) | −24.2899 | − | 7.61597i | −0.337359 | − | 0.105777i | ||||
\(73\) | −7.44284 | + | 12.8914i | −0.101957 | + | 0.176594i | −0.912491 | − | 0.409097i | \(-0.865844\pi\) |
0.810534 | + | 0.585692i | \(0.199177\pi\) | |||||||
\(74\) | 27.3512 | + | 15.7912i | 0.369610 | + | 0.213395i | ||||
\(75\) | 1.64490 | + | 14.9095i | 0.0219320 | + | 0.198794i | ||||
\(76\) | −56.5460 | −0.744027 | ||||||||
\(77\) | −10.0243 | − | 25.9028i | −0.130186 | − | 0.336400i | ||||
\(78\) | 38.4700 | − | 87.6193i | 0.493205 | − | 1.12332i | ||||
\(79\) | −44.9089 | − | 77.7844i | −0.568467 | − | 0.984613i | −0.996718 | − | 0.0809535i | \(-0.974203\pi\) |
0.428251 | − | 0.903660i | \(-0.359130\pi\) | |||||||
\(80\) | 7.74597 | + | 4.47214i | 0.0968246 | + | 0.0559017i | ||||
\(81\) | −66.4992 | − | 46.2477i | −0.820978 | − | 0.570959i | ||||
\(82\) | 26.1729 | + | 45.3327i | 0.319181 | + | 0.552838i | ||||
\(83\) | 42.3934i | 0.510764i | 0.966840 | + | 0.255382i | \(0.0822013\pi\) | ||||
−0.966840 | + | 0.255382i | \(0.917799\pi\) | |||||||
\(84\) | 22.5962 | − | 35.4035i | 0.269003 | − | 0.421471i | ||||
\(85\) | 35.4274 | 0.416793 | ||||||||
\(86\) | −40.6061 | + | 23.4440i | −0.472165 | + | 0.272604i | ||||
\(87\) | −41.7209 | − | 56.8051i | −0.479551 | − | 0.652932i | ||||
\(88\) | 5.61136 | − | 9.71916i | 0.0637655 | − | 0.110445i | ||||
\(89\) | 126.802 | − | 73.2090i | 1.42474 | − | 0.822573i | 0.428040 | − | 0.903760i | \(-0.359204\pi\) |
0.996699 | + | 0.0811863i | \(0.0258709\pi\) | |||||||
\(90\) | 19.2611 | + | 20.9526i | 0.214012 | + | 0.232806i | ||||
\(91\) | 122.970 | + | 99.0251i | 1.35132 | + | 1.08819i | ||||
\(92\) | − | 19.9913i | − | 0.217297i | ||||||
\(93\) | 1.46091 | + | 13.2419i | 0.0157087 | + | 0.142386i | ||||
\(94\) | 52.5726 | − | 91.0584i | 0.559283 | − | 0.968706i | ||||
\(95\) | 54.7505 | + | 31.6102i | 0.576321 | + | 0.332739i | ||||
\(96\) | 16.8682 | − | 1.86099i | 0.175711 | − | 0.0193853i | ||||
\(97\) | −162.686 | −1.67718 | −0.838590 | − | 0.544763i | \(-0.816620\pi\) | ||||
−0.838590 | + | 0.544763i | \(0.816620\pi\) | |||||||
\(98\) | 46.6487 | + | 51.2436i | 0.476007 | + | 0.522894i | ||||
\(99\) | 26.2900 | − | 24.1676i | 0.265556 | − | 0.244117i | ||||
\(100\) | −5.00000 | − | 8.66025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | −167.662 | − | 96.7995i | −1.66002 | − | 0.958411i | −0.972704 | − | 0.232049i | \(-0.925457\pi\) |
−0.687312 | − | 0.726362i | \(-0.741210\pi\) | |||||||
\(102\) | 54.1765 | − | 39.7904i | 0.531143 | − | 0.390102i | ||||
\(103\) | −11.1583 | − | 19.3267i | −0.108333 | − | 0.187638i | 0.806762 | − | 0.590876i | \(-0.201218\pi\) |
−0.915095 | + | 0.403238i | \(0.867885\pi\) | |||||||
\(104\) | 63.7951i | 0.613414i | ||||||||
\(105\) | −41.6699 | + | 21.6476i | −0.396856 | + | 0.206168i | ||||
\(106\) | −102.402 | −0.966054 | ||||||||
\(107\) | −46.4988 | + | 26.8461i | −0.434568 | + | 0.250898i | −0.701291 | − | 0.712875i | \(-0.747393\pi\) |
0.266723 | + | 0.963773i | \(0.414059\pi\) | |||||||
\(108\) | 52.9875 | + | 10.4081i | 0.490625 | + | 0.0963712i | ||||
\(109\) | −12.1187 | + | 20.9902i | −0.111181 | + | 0.192570i | −0.916247 | − | 0.400615i | \(-0.868797\pi\) |
0.805066 | + | 0.593185i | \(0.202130\pi\) | |||||||
\(110\) | −10.8664 | + | 6.27369i | −0.0987850 | + | 0.0570336i | ||||
\(111\) | −61.3441 | − | 26.9336i | −0.552649 | − | 0.242645i | ||||
\(112\) | −4.30471 | + | 27.6671i | −0.0384349 | + | 0.247028i | ||||
\(113\) | 104.806i | 0.927486i | 0.885970 | + | 0.463743i | \(0.153494\pi\) | ||||
−0.885970 | + | 0.463743i | \(0.846506\pi\) | |||||||
\(114\) | 119.229 | − | 13.1539i | 1.04587 | − | 0.115386i | ||||
\(115\) | −11.1755 | + | 19.3565i | −0.0971780 | + | 0.168317i | ||||
\(116\) | 40.6917 | + | 23.4934i | 0.350791 | + | 0.202529i | ||||
\(117\) | −60.7327 | + | 193.697i | −0.519083 | + | 1.65553i | ||||
\(118\) | 86.3306 | 0.731616 | ||||||||
\(119\) | 40.0272 | + | 103.430i | 0.336363 | + | 0.869162i | ||||
\(120\) | −17.3729 | − | 7.62772i | −0.144774 | − | 0.0635644i | ||||
\(121\) | −52.6282 | − | 91.1546i | −0.434943 | − | 0.753344i | ||||
\(122\) | 37.9938 | + | 21.9358i | 0.311425 | + | 0.179801i | ||||
\(123\) | −65.7316 | − | 89.4968i | −0.534403 | − | 0.727616i | ||||
\(124\) | −4.44073 | − | 7.69158i | −0.0358124 | − | 0.0620289i | ||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | −39.4091 | + | 79.9057i | −0.312771 | + | 0.634172i | ||||
\(127\) | −9.12083 | −0.0718176 | −0.0359088 | − | 0.999355i | \(-0.511433\pi\) | ||||
−0.0359088 | + | 0.999355i | \(0.511433\pi\) | |||||||
\(128\) | −9.79796 | + | 5.65685i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 80.1655 | − | 58.8782i | 0.621438 | − | 0.456420i | ||||
\(130\) | 35.6625 | − | 61.7693i | 0.274327 | − | 0.475149i | ||||
\(131\) | 196.552 | − | 113.479i | 1.50040 | − | 0.866256i | 0.500399 | − | 0.865795i | \(-0.333187\pi\) |
1.00000 | 0.000460802i | \(-0.000146678\pi\) | ||||||||
\(132\) | −9.57080 | + | 21.7984i | −0.0725060 | + | 0.165140i | ||||
\(133\) | −30.4268 | + | 195.558i | −0.228773 | + | 1.47036i | ||||
\(134\) | − | 2.52091i | − | 0.0188128i | ||||||
\(135\) | −45.4866 | − | 39.6985i | −0.336938 | − | 0.294063i | ||||
\(136\) | −22.4063 | + | 38.8088i | −0.164752 | + | 0.285359i | ||||
\(137\) | 85.0732 | + | 49.1170i | 0.620972 | + | 0.358518i | 0.777247 | − | 0.629195i | \(-0.216615\pi\) |
−0.156275 | + | 0.987714i | \(0.549949\pi\) | |||||||
\(138\) | 4.65045 | + | 42.1522i | 0.0336989 | + | 0.305451i | ||||
\(139\) | −116.853 | −0.840669 | −0.420335 | − | 0.907369i | \(-0.638087\pi\) | ||||
−0.420335 | + | 0.907369i | \(0.638087\pi\) | |||||||
\(140\) | 19.6344 | − | 24.3822i | 0.140246 | − | 0.174158i | ||||
\(141\) | −89.6684 | + | 204.229i | −0.635946 | + | 1.44843i | ||||
\(142\) | −63.4317 | − | 109.867i | −0.446702 | − | 0.773711i | ||||
\(143\) | −77.5044 | − | 44.7472i | −0.541988 | − | 0.312917i | ||||
\(144\) | −35.1342 | + | 7.84790i | −0.243987 | + | 0.0544993i | ||||
\(145\) | −26.2664 | − | 45.4948i | −0.181148 | − | 0.313757i | ||||
\(146\) | 21.0515i | 0.144189i | ||||||||
\(147\) | −110.280 | − | 97.1969i | −0.750207 | − | 0.661203i | ||||
\(148\) | 44.6642 | 0.301785 | ||||||||
\(149\) | −214.655 | + | 123.931i | −1.44064 | + | 0.831754i | −0.997892 | − | 0.0648923i | \(-0.979330\pi\) |
−0.442748 | + | 0.896646i | \(0.645996\pi\) | |||||||
\(150\) | 12.5572 | + | 17.0973i | 0.0837148 | + | 0.113982i | ||||
\(151\) | 89.0829 | − | 154.296i | 0.589953 | − | 1.02183i | −0.404285 | − | 0.914633i | \(-0.632480\pi\) |
0.994238 | − | 0.107195i | \(-0.0341870\pi\) | |||||||
\(152\) | −69.2545 | + | 39.9841i | −0.455621 | + | 0.263053i | ||||
\(153\) | −104.977 | + | 96.5018i | −0.686121 | + | 0.630731i | ||||
\(154\) | −30.5932 | − | 24.6360i | −0.198657 | − | 0.159974i | ||||
\(155\) | 9.92978i | 0.0640631i | ||||||||
\(156\) | −14.8403 | − | 134.514i | −0.0951298 | − | 0.862267i | ||||
\(157\) | 120.316 | − | 208.394i | 0.766346 | − | 1.32735i | −0.173187 | − | 0.984889i | \(-0.555406\pi\) |
0.939532 | − | 0.342461i | \(-0.111260\pi\) | |||||||
\(158\) | −110.004 | − | 63.5107i | −0.696227 | − | 0.401967i | ||||
\(159\) | 215.917 | − | 23.8211i | 1.35797 | − | 0.149818i | ||||
\(160\) | 12.6491 | 0.0790569 | ||||||||
\(161\) | −69.1377 | − | 10.7571i | −0.429427 | − | 0.0668142i | ||||
\(162\) | −114.147 | − | 9.61959i | −0.704609 | − | 0.0593802i | ||||
\(163\) | −50.4545 | − | 87.3898i | −0.309537 | − | 0.536134i | 0.668724 | − | 0.743511i | \(-0.266841\pi\) |
−0.978261 | + | 0.207377i | \(0.933507\pi\) | |||||||
\(164\) | 64.1101 | + | 37.0140i | 0.390915 | + | 0.225695i | ||||
\(165\) | 21.4526 | − | 15.7560i | 0.130016 | − | 0.0954910i | ||||
\(166\) | 29.9767 | + | 51.9211i | 0.180582 | + | 0.312778i | ||||
\(167\) | − | 250.792i | − | 1.50175i | −0.660447 | − | 0.750873i | \(-0.729633\pi\) | ||
0.660447 | − | 0.750873i | \(-0.270367\pi\) | |||||||
\(168\) | 2.64056 | − | 59.3382i | 0.0157176 | − | 0.353204i | ||||
\(169\) | 339.727 | 2.01022 | ||||||||
\(170\) | 43.3896 | − | 25.0510i | 0.255233 | − | 0.147359i | ||||
\(171\) | −248.337 | + | 55.4709i | −1.45226 | + | 0.324391i | ||||
\(172\) | −33.1548 | + | 57.4258i | −0.192760 | + | 0.333871i | ||||
\(173\) | −133.220 | + | 76.9148i | −0.770060 | + | 0.444594i | −0.832896 | − | 0.553430i | \(-0.813319\pi\) |
0.0628361 | + | 0.998024i | \(0.479985\pi\) | |||||||
\(174\) | −91.2648 | − | 40.0706i | −0.524510 | − | 0.230291i | ||||
\(175\) | −32.6410 | + | 12.6320i | −0.186520 | + | 0.0721827i | ||||
\(176\) | − | 15.8713i | − | 0.0901780i | ||||||
\(177\) | −182.031 | + | 20.0826i | −1.02842 | + | 0.113461i | ||||
\(178\) | 103.533 | − | 179.325i | 0.581647 | − | 1.00744i | ||||
\(179\) | −60.3477 | − | 34.8418i | −0.337138 | − | 0.194647i | 0.321868 | − | 0.946785i | \(-0.395689\pi\) |
−0.659006 | + | 0.752138i | \(0.729023\pi\) | |||||||
\(180\) | 38.4056 | + | 12.0419i | 0.213365 | + | 0.0668995i | ||||
\(181\) | 157.344 | 0.869306 | 0.434653 | − | 0.900598i | \(-0.356871\pi\) | ||||
0.434653 | + | 0.900598i | \(0.356871\pi\) | |||||||
\(182\) | 220.628 | + | 34.3274i | 1.21224 | + | 0.188612i | ||||
\(183\) | −85.2138 | − | 37.4139i | −0.465649 | − | 0.204447i | ||||
\(184\) | −14.1360 | − | 24.4842i | −0.0768260 | − | 0.133067i | ||||
\(185\) | −43.2460 | − | 24.9681i | −0.233762 | − | 0.134963i | ||||
\(186\) | 11.1527 | + | 15.1849i | 0.0599605 | + | 0.0816391i | ||||
\(187\) | −31.4324 | − | 54.4426i | −0.168088 | − | 0.291137i | ||||
\(188\) | − | 148.698i | − | 0.790945i | ||||||
\(189\) | 64.5072 | − | 177.651i | 0.341308 | − | 0.939952i | ||||
\(190\) | 89.4071 | 0.470564 | ||||||||
\(191\) | −258.821 | + | 149.431i | −1.35508 | + | 0.782359i | −0.988957 | − | 0.148206i | \(-0.952650\pi\) |
−0.366128 | + | 0.930564i | \(0.619317\pi\) | |||||||
\(192\) | 19.3433 | − | 14.2069i | 0.100747 | − | 0.0739941i | ||||
\(193\) | −51.1259 | + | 88.5526i | −0.264901 | + | 0.458822i | −0.967538 | − | 0.252727i | \(-0.918673\pi\) |
0.702637 | + | 0.711549i | \(0.252006\pi\) | |||||||
\(194\) | −199.249 | + | 115.037i | −1.02706 | + | 0.592973i | ||||
\(195\) | −60.8264 | + | 138.538i | −0.311930 | + | 0.710453i | ||||
\(196\) | 93.3674 | + | 29.7747i | 0.476364 | + | 0.151912i | ||||
\(197\) | − | 204.233i | − | 1.03671i | −0.855164 | − | 0.518357i | \(-0.826544\pi\) | ||
0.855164 | − | 0.518357i | \(-0.173456\pi\) | |||||||
\(198\) | 15.1094 | − | 48.1890i | 0.0763103 | − | 0.243379i | ||||
\(199\) | −106.371 | + | 184.240i | −0.534529 | + | 0.925832i | 0.464657 | + | 0.885491i | \(0.346178\pi\) |
−0.999186 | + | 0.0403408i | \(0.987156\pi\) | |||||||
\(200\) | −12.2474 | − | 7.07107i | −0.0612372 | − | 0.0353553i | ||||
\(201\) | 0.586424 | + | 5.31541i | 0.00291753 | + | 0.0264448i | ||||
\(202\) | −273.790 | −1.35540 | ||||||||
\(203\) | 103.145 | − | 128.086i | 0.508104 | − | 0.630967i | ||||
\(204\) | 38.2164 | − | 87.0417i | 0.187335 | − | 0.426675i | ||||
\(205\) | −41.3829 | − | 71.6773i | −0.201868 | − | 0.349645i | ||||
\(206\) | −27.3321 | − | 15.7802i | −0.132680 | − | 0.0766030i | ||||
\(207\) | −19.6112 | − | 87.7972i | −0.0947401 | − | 0.424141i | ||||
\(208\) | 45.1100 | + | 78.1327i | 0.216875 | + | 0.375638i | ||||
\(209\) | − | 112.183i | − | 0.536759i | ||||||
\(210\) | −35.7278 | + | 55.9779i | −0.170132 | + | 0.266561i | ||||
\(211\) | 309.058 | 1.46473 | 0.732364 | − | 0.680913i | \(-0.238417\pi\) | ||||
0.732364 | + | 0.680913i | \(0.238417\pi\) | |||||||
\(212\) | −125.416 | + | 72.4090i | −0.591585 | + | 0.341552i | ||||
\(213\) | 159.305 | + | 216.902i | 0.747911 | + | 1.01832i | ||||
\(214\) | −37.9661 | + | 65.7592i | −0.177412 | + | 0.307286i | ||||
\(215\) | 64.2040 | − | 37.0682i | 0.298623 | − | 0.172410i | ||||
\(216\) | 72.2558 | − | 24.7205i | 0.334517 | − | 0.114447i | ||||
\(217\) | −28.9900 | + | 11.2190i | −0.133594 | + | 0.0517007i | ||||
\(218\) | 34.2768i | 0.157233i | ||||||||
\(219\) | −4.89709 | − | 44.3877i | −0.0223611 | − | 0.202684i | ||||
\(220\) | −8.87234 | + | 15.3673i | −0.0403288 | + | 0.0698516i | ||||
\(221\) | 309.477 | + | 178.676i | 1.40035 | + | 0.808490i | ||||
\(222\) | −94.1758 | + | 10.3900i | −0.424215 | + | 0.0468016i | ||||
\(223\) | −142.851 | −0.640585 | −0.320293 | − | 0.947319i | \(-0.603781\pi\) | ||||
−0.320293 | + | 0.947319i | \(0.603781\pi\) | |||||||
\(224\) | 14.2914 | + | 36.9291i | 0.0638011 | + | 0.164862i | ||||
\(225\) | −30.4545 | − | 33.1289i | −0.135353 | − | 0.147240i | ||||
\(226\) | 74.1090 | + | 128.361i | 0.327916 | + | 0.567967i | ||||
\(227\) | 251.985 | + | 145.484i | 1.11007 | + | 0.640898i | 0.938847 | − | 0.344335i | \(-0.111896\pi\) |
0.171221 | + | 0.985233i | \(0.445229\pi\) | |||||||
\(228\) | 136.724 | − | 100.418i | 0.599665 | − | 0.440429i | ||||
\(229\) | 142.297 | + | 246.466i | 0.621384 | + | 1.07627i | 0.989228 | + | 0.146382i | \(0.0467627\pi\) |
−0.367844 | + | 0.929888i | \(0.619904\pi\) | |||||||
\(230\) | 31.6090i | 0.137431i | ||||||||
\(231\) | 70.2376 | + | 44.8290i | 0.304059 | + | 0.194065i | ||||
\(232\) | 66.4493 | 0.286420 | ||||||||
\(233\) | 125.480 | − | 72.4457i | 0.538539 | − | 0.310926i | −0.205948 | − | 0.978563i | \(-0.566028\pi\) |
0.744487 | + | 0.667637i | \(0.232694\pi\) | |||||||
\(234\) | 62.5822 | + | 280.174i | 0.267445 | + | 1.19732i | ||||
\(235\) | −83.1246 | + | 143.976i | −0.353722 | + | 0.612664i | ||||
\(236\) | 105.733 | − | 61.0450i | 0.448021 | − | 0.258665i | ||||
\(237\) | 246.720 | + | 108.325i | 1.04101 | + | 0.457066i | ||||
\(238\) | 122.159 | + | 98.3722i | 0.513275 | + | 0.413329i | ||||
\(239\) | 49.6402i | 0.207700i | 0.994593 | + | 0.103850i | \(0.0331161\pi\) | ||||
−0.994593 | + | 0.103850i | \(0.966884\pi\) | |||||||
\(240\) | −26.6710 | + | 2.94248i | −0.111129 | + | 0.0122603i | ||||
\(241\) | 59.3847 | − | 102.857i | 0.246410 | − | 0.426794i | −0.716117 | − | 0.697980i | \(-0.754082\pi\) |
0.962527 | + | 0.271186i | \(0.0874158\pi\) | |||||||
\(242\) | −128.912 | − | 74.4275i | −0.532695 | − | 0.307551i | ||||
\(243\) | 242.919 | − | 6.27005i | 0.999667 | − | 0.0258027i | ||||
\(244\) | 62.0437 | 0.254277 | ||||||||
\(245\) | −73.7580 | − | 81.0232i | −0.301053 | − | 0.330707i | ||||
\(246\) | −143.788 | − | 63.1315i | −0.584505 | − | 0.256632i | ||||
\(247\) | 318.849 | + | 552.262i | 1.29088 | + | 2.23588i | ||||
\(248\) | −10.8775 | − | 6.28015i | −0.0438610 | − | 0.0253232i | ||||
\(249\) | −75.2847 | − | 102.504i | −0.302348 | − | 0.411662i | ||||
\(250\) | 7.90569 | + | 13.6931i | 0.0316228 | + | 0.0547723i | ||||
\(251\) | 29.8647i | 0.118983i | 0.998229 | + | 0.0594915i | \(0.0189479\pi\) | ||||
−0.998229 | + | 0.0594915i | \(0.981052\pi\) | |||||||
\(252\) | 8.23579 | + | 125.731i | 0.0326817 | + | 0.498931i | ||||
\(253\) | 39.6610 | 0.156763 | ||||||||
\(254\) | −11.1707 | + | 6.44940i | −0.0439791 | + | 0.0253914i | ||||
\(255\) | −85.6606 | + | 62.9141i | −0.335924 | + | 0.246722i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 168.887 | − | 97.5067i | 0.657146 | − | 0.379404i | −0.134043 | − | 0.990976i | \(-0.542796\pi\) |
0.791189 | + | 0.611572i | \(0.209463\pi\) | |||||||
\(258\) | 56.5492 | − | 128.796i | 0.219183 | − | 0.499211i | ||||
\(259\) | 24.0333 | − | 154.466i | 0.0927927 | − | 0.596395i | ||||
\(260\) | − | 100.869i | − | 0.387957i | ||||||
\(261\) | 201.756 | + | 63.2596i | 0.773010 | + | 0.242374i | ||||
\(262\) | 160.484 | − | 277.967i | 0.612535 | − | 1.06094i | ||||
\(263\) | −111.411 | − | 64.3233i | −0.423616 | − | 0.244575i | 0.273007 | − | 0.962012i | \(-0.411982\pi\) |
−0.696623 | + | 0.717437i | \(0.745315\pi\) | |||||||
\(264\) | 3.69205 | + | 33.4651i | 0.0139850 | + | 0.126762i | ||||
\(265\) | 161.911 | 0.610986 | ||||||||
\(266\) | 101.016 | + | 261.024i | 0.379758 | + | 0.981293i | ||||
\(267\) | −176.587 | + | 402.195i | −0.661376 | + | 1.50635i | ||||
\(268\) | −1.78255 | − | 3.08747i | −0.00665132 | − | 0.0115204i | ||||
\(269\) | −8.80833 | − | 5.08549i | −0.0327447 | − | 0.0189052i | 0.483538 | − | 0.875323i | \(-0.339351\pi\) |
−0.516283 | + | 0.856418i | \(0.672685\pi\) | |||||||
\(270\) | −83.7805 | − | 16.4566i | −0.310298 | − | 0.0609505i | ||||
\(271\) | −183.165 | − | 317.251i | −0.675886 | − | 1.17067i | −0.976209 | − | 0.216832i | \(-0.930428\pi\) |
0.300323 | − | 0.953838i | \(-0.402906\pi\) | |||||||
\(272\) | 63.3745i | 0.232995i | ||||||||
\(273\) | −473.186 | − | 21.0569i | −1.73328 | − | 0.0771314i | ||||
\(274\) | 138.924 | 0.507022 | ||||||||
\(275\) | 17.1812 | − | 9.91958i | 0.0624771 | − | 0.0360712i | ||||
\(276\) | 35.5017 | + | 48.3373i | 0.128629 | + | 0.175135i | ||||
\(277\) | 92.6418 | − | 160.460i | 0.334447 | − | 0.579279i | −0.648932 | − | 0.760847i | \(-0.724784\pi\) |
0.983378 | + | 0.181568i | \(0.0581172\pi\) | |||||||
\(278\) | −143.115 | + | 82.6276i | −0.514803 | + | 0.297221i | ||||
\(279\) | −27.0480 | − | 29.4234i | −0.0969464 | − | 0.105460i | ||||
\(280\) | 6.80634 | − | 43.7456i | 0.0243084 | − | 0.156234i | ||||
\(281\) | − | 0.659344i | − | 0.00234642i | −0.999999 | − | 0.00117321i | \(-0.999627\pi\) | ||
0.999999 | − | 0.00117321i | \(-0.000373444\pi\) | |||||||
\(282\) | 34.5906 | + | 313.533i | 0.122662 | + | 1.11182i | ||||
\(283\) | 168.327 | − | 291.550i | 0.594794 | − | 1.03021i | −0.398782 | − | 0.917046i | \(-0.630567\pi\) |
0.993576 | − | 0.113167i | \(-0.0360996\pi\) | |||||||
\(284\) | −155.375 | − | 89.7060i | −0.547096 | − | 0.315866i | ||||
\(285\) | −188.517 | + | 20.7982i | −0.661464 | + | 0.0729762i | ||||
\(286\) | −126.564 | −0.442532 | ||||||||
\(287\) | 162.506 | − | 201.801i | 0.566222 | − | 0.703139i | ||||
\(288\) | −37.4811 | + | 34.4553i | −0.130143 | + | 0.119636i | ||||
\(289\) | −18.9897 | − | 32.8911i | −0.0657082 | − | 0.113810i | ||||
\(290\) | −64.3393 | − | 37.1463i | −0.221860 | − | 0.128091i | ||||
\(291\) | 393.362 | − | 288.908i | 1.35176 | − | 0.992811i | ||||
\(292\) | 14.8857 | + | 25.7828i | 0.0509784 | + | 0.0882971i | ||||
\(293\) | 473.631i | 1.61649i | 0.588848 | + | 0.808244i | \(0.299582\pi\) | ||||
−0.588848 | + | 0.808244i | \(0.700418\pi\) | |||||||
\(294\) | −203.794 | − | 41.0613i | −0.693177 | − | 0.139664i | ||||
\(295\) | −136.501 | −0.462714 | ||||||||
\(296\) | 54.7023 | − | 31.5824i | 0.184805 | − | 0.106697i | ||||
\(297\) | −20.6488 | + | 105.123i | −0.0695245 | + | 0.353948i | ||||
\(298\) | −175.265 | + | 303.569i | −0.588139 | + | 1.01869i | ||||
\(299\) | −195.247 | + | 112.726i | −0.652999 | + | 0.377009i | ||||
\(300\) | 27.4690 | + | 12.0605i | 0.0915632 | + | 0.0402016i | ||||
\(301\) | 180.760 | + | 145.562i | 0.600533 | + | 0.483596i | ||||
\(302\) | − | 251.964i | − | 0.834319i | ||||||
\(303\) | 577.294 | − | 63.6901i | 1.90526 | − | 0.210198i | ||||
\(304\) | −56.5460 | + | 97.9406i | −0.186007 | + | 0.322173i | ||||
\(305\) | −60.0735 | − | 34.6835i | −0.196962 | − | 0.113716i | ||||
\(306\) | −60.3323 | + | 192.420i | −0.197165 | + | 0.628823i | ||||
\(307\) | 120.313 | 0.391900 | 0.195950 | − | 0.980614i | \(-0.437221\pi\) | ||||
0.195950 | + | 0.980614i | \(0.437221\pi\) | |||||||
\(308\) | −54.8892 | − | 8.54017i | −0.178212 | − | 0.0277278i | ||||
\(309\) | 61.3014 | + | 26.9149i | 0.198386 | + | 0.0871033i | ||||
\(310\) | 7.02142 | + | 12.1615i | 0.0226497 | + | 0.0392305i | ||||
\(311\) | −68.7978 | − | 39.7204i | −0.221215 | − | 0.127718i | 0.385298 | − | 0.922792i | \(-0.374099\pi\) |
−0.606513 | + | 0.795074i | \(0.707432\pi\) | |||||||
\(312\) | −113.291 | − | 154.251i | −0.363112 | − | 0.494395i | ||||
\(313\) | −260.740 | − | 451.614i | −0.833034 | − | 1.44286i | −0.895621 | − | 0.444818i | \(-0.853268\pi\) |
0.0625867 | − | 0.998040i | \(-0.480065\pi\) | |||||||
\(314\) | − | 340.306i | − | 1.08378i | ||||||
\(315\) | 62.3112 | − | 126.342i | 0.197813 | − | 0.401086i | ||||
\(316\) | −179.635 | −0.568467 | ||||||||
\(317\) | 39.2973 | − | 22.6883i | 0.123966 | − | 0.0715719i | −0.436735 | − | 0.899590i | \(-0.643865\pi\) |
0.560701 | + | 0.828018i | \(0.310532\pi\) | |||||||
\(318\) | 247.599 | − | 181.851i | 0.778613 | − | 0.571859i | ||||
\(319\) | −46.6089 | + | 80.7290i | −0.146109 | + | 0.253069i | ||||
\(320\) | 15.4919 | − | 8.94427i | 0.0484123 | − | 0.0279508i | ||||
\(321\) | 64.7554 | − | 147.487i | 0.201730 | − | 0.459461i | ||||
\(322\) | −92.2825 | + | 35.7131i | −0.286591 | + | 0.110910i | ||||
\(323\) | 447.947i | 1.38683i | ||||||||
\(324\) | −146.603 | + | 68.9323i | −0.452477 | + | 0.212754i | ||||
\(325\) | −56.3874 | + | 97.6659i | −0.173500 | + | 0.300510i | ||||
\(326\) | −123.588 | − | 71.3535i | −0.379104 | − | 0.218876i | ||||
\(327\) | −7.97360 | − | 72.2736i | −0.0243841 | − | 0.221020i | ||||
\(328\) | 104.691 | 0.319181 | ||||||||
\(329\) | −514.255 | − | 80.0125i | −1.56308 | − | 0.243199i | ||||
\(330\) | 15.1328 | − | 34.4664i | 0.0458568 | − | 0.104444i | ||||
\(331\) | −96.5308 | − | 167.196i | −0.291634 | − | 0.505125i | 0.682562 | − | 0.730827i | \(-0.260866\pi\) |
−0.974196 | + | 0.225703i | \(0.927532\pi\) | |||||||
\(332\) | 73.4276 | + | 42.3934i | 0.221167 | + | 0.127691i | ||||
\(333\) | 196.155 | − | 43.8150i | 0.589055 | − | 0.131577i | ||||
\(334\) | −177.336 | − | 307.156i | −0.530947 | − | 0.919628i | ||||
\(335\) | 3.98591i | 0.0118982i | ||||||||
\(336\) | −38.7245 | − | 74.5414i | −0.115251 | − | 0.221849i | ||||
\(337\) | 54.4172 | 0.161475 | 0.0807377 | − | 0.996735i | \(-0.474272\pi\) | ||||
0.0807377 | + | 0.996735i | \(0.474272\pi\) | |||||||
\(338\) | 416.079 | − | 240.223i | 1.23100 | − | 0.710720i | ||||
\(339\) | −186.121 | − | 253.412i | −0.549028 | − | 0.747528i | ||||
\(340\) | 35.4274 | − | 61.3621i | 0.104198 | − | 0.180477i | ||||
\(341\) | 15.2594 | − | 8.81004i | 0.0447491 | − | 0.0258359i | ||||
\(342\) | −264.926 | + | 243.539i | −0.774637 | + | 0.712101i | ||||
\(343\) | 153.212 | − | 306.879i | 0.446684 | − | 0.894692i | ||||
\(344\) | 93.7759i | 0.272604i | ||||||||
\(345\) | −7.35301 | − | 66.6485i | −0.0213131 | − | 0.193184i | ||||
\(346\) | −108.774 | + | 188.402i | −0.314376 | + | 0.544515i | ||||
\(347\) | 379.684 | + | 219.210i | 1.09419 | + | 0.631730i | 0.934689 | − | 0.355468i | \(-0.115678\pi\) |
0.159500 | + | 0.987198i | \(0.449012\pi\) | |||||||
\(348\) | −140.110 | + | 15.4577i | −0.402616 | + | 0.0444187i | ||||
\(349\) | −645.311 | −1.84903 | −0.924514 | − | 0.381147i | \(-0.875529\pi\) | ||||
−0.924514 | + | 0.381147i | \(0.875529\pi\) | |||||||
\(350\) | −31.0447 | + | 38.5516i | −0.0886992 | + | 0.110147i | ||||
\(351\) | −197.131 | − | 576.195i | −0.561627 | − | 1.64158i | ||||
\(352\) | −11.2227 | − | 19.4383i | −0.0318827 | − | 0.0552225i | ||||
\(353\) | 309.702 | + | 178.806i | 0.877342 | + | 0.506534i | 0.869781 | − | 0.493438i | \(-0.164260\pi\) |
0.00756095 | + | 0.999971i | \(0.497593\pi\) | |||||||
\(354\) | −208.740 | + | 153.311i | −0.589662 | + | 0.433082i | ||||
\(355\) | 100.294 | + | 173.715i | 0.282519 | + | 0.489338i | ||||
\(356\) | − | 292.836i | − | 0.822573i | ||||||
\(357\) | −280.460 | − | 179.003i | −0.785603 | − | 0.501410i | ||||
\(358\) | −98.5474 | −0.275272 | ||||||||
\(359\) | −529.863 | + | 305.917i | −1.47594 | + | 0.852136i | −0.999632 | − | 0.0271416i | \(-0.991360\pi\) |
−0.476311 | + | 0.879277i | \(0.658026\pi\) | |||||||
\(360\) | 55.5520 | − | 12.4086i | 0.154311 | − | 0.0344684i | ||||
\(361\) | −219.182 | + | 379.634i | −0.607152 | + | 1.05162i | ||||
\(362\) | 192.707 | − | 111.259i | 0.532339 | − | 0.307346i | ||||
\(363\) | 289.128 | + | 126.944i | 0.796497 | + | 0.349709i | ||||
\(364\) | 294.487 | − | 113.965i | 0.809029 | − | 0.313092i | ||||
\(365\) | − | 33.2854i | − | 0.0911929i | ||||||
\(366\) | −130.821 | + | 14.4328i | −0.357434 | + | 0.0394340i | ||||
\(367\) | −124.390 | + | 215.449i | −0.338936 | + | 0.587055i | −0.984233 | − | 0.176877i | \(-0.943400\pi\) |
0.645297 | + | 0.763932i | \(0.276734\pi\) | |||||||
\(368\) | −34.6259 | − | 19.9913i | −0.0940922 | − | 0.0543242i | ||||
\(369\) | 317.867 | + | 99.6659i | 0.861429 | + | 0.270097i | ||||
\(370\) | −70.6204 | −0.190866 | ||||||||
\(371\) | 182.934 | + | 472.700i | 0.493082 | + | 1.27412i | ||||
\(372\) | 24.3965 | + | 10.7115i | 0.0655820 | + | 0.0287943i | ||||
\(373\) | −87.3976 | − | 151.377i | −0.234310 | − | 0.405837i | 0.724762 | − | 0.688999i | \(-0.241950\pi\) |
−0.959072 | + | 0.283163i | \(0.908616\pi\) | |||||||
\(374\) | −76.9934 | − | 44.4522i | −0.205865 | − | 0.118856i | ||||
\(375\) | −19.8547 | − | 27.0331i | −0.0529459 | − | 0.0720884i | ||||
\(376\) | −105.145 | − | 182.117i | −0.279641 | − | 0.484353i | ||||
\(377\) | − | 529.893i | − | 1.40555i | ||||||
\(378\) | −46.6133 | − | 263.190i | −0.123316 | − | 0.696271i | ||||
\(379\) | 124.982 | 0.329768 | 0.164884 | − | 0.986313i | \(-0.447275\pi\) | ||||
0.164884 | + | 0.986313i | \(0.447275\pi\) | |||||||
\(380\) | 109.501 | − | 63.2204i | 0.288160 | − | 0.166369i | ||||
\(381\) | 22.0534 | − | 16.1973i | 0.0578830 | − | 0.0425126i | ||||
\(382\) | −211.327 | + | 366.028i | −0.553211 | + | 0.958190i | ||||
\(383\) | 248.710 | − | 143.593i | 0.649374 | − | 0.374917i | −0.138842 | − | 0.990315i | \(-0.544338\pi\) |
0.788217 | + | 0.615398i | \(0.211005\pi\) | |||||||
\(384\) | 13.6449 | − | 31.0776i | 0.0355336 | − | 0.0809312i | ||||
\(385\) | 48.3722 | + | 38.9530i | 0.125642 | + | 0.101177i | ||||
\(386\) | 144.606i | 0.374626i | ||||||||
\(387\) | −89.2743 | + | 284.725i | −0.230683 | + | 0.735724i | ||||
\(388\) | −162.686 | + | 281.781i | −0.419295 | + | 0.726240i | ||||
\(389\) | −50.6506 | − | 29.2432i | −0.130207 | − | 0.0751752i | 0.433482 | − | 0.901162i | \(-0.357285\pi\) |
−0.563689 | + | 0.825987i | \(0.690618\pi\) | |||||||
\(390\) | 23.4645 | + | 212.685i | 0.0601654 | + | 0.545346i | ||||
\(391\) | −158.367 | −0.405032 | ||||||||
\(392\) | 135.405 | − | 29.5543i | 0.345421 | − | 0.0753936i | ||||
\(393\) | −273.724 | + | 623.433i | −0.696498 | + | 1.58634i | ||||
\(394\) | −144.414 | − | 250.133i | −0.366534 | − | 0.634855i | ||||
\(395\) | 173.931 | + | 100.419i | 0.440332 | + | 0.254226i | ||||
\(396\) | −15.5696 | − | 69.7032i | −0.0393171 | − | 0.176018i | ||||
\(397\) | −211.582 | − | 366.471i | −0.532952 | − | 0.923100i | −0.999259 | − | 0.0384774i | \(-0.987749\pi\) |
0.466307 | − | 0.884623i | \(-0.345584\pi\) | |||||||
\(398\) | 300.863i | 0.755938i | ||||||||
\(399\) | −273.714 | − | 526.877i | −0.686001 | − | 1.32049i | ||||
\(400\) | −20.0000 | −0.0500000 | ||||||||
\(401\) | 94.7200 | − | 54.6866i | 0.236209 | − | 0.136376i | −0.377224 | − | 0.926122i | \(-0.623121\pi\) |
0.613433 | + | 0.789747i | \(0.289788\pi\) | |||||||
\(402\) | 4.47678 | + | 6.09536i | 0.0111363 | + | 0.0151626i | ||||
\(403\) | −50.0803 | + | 86.7417i | −0.124269 | + | 0.215240i | ||||
\(404\) | −335.323 | + | 193.599i | −0.830008 | + | 0.479205i | ||||
\(405\) | 180.482 | + | 15.2099i | 0.445634 | + | 0.0375553i | ||||
\(406\) | 35.7556 | − | 229.808i | 0.0880680 | − | 0.566029i | ||||
\(407\) | 88.6101i | 0.217715i | ||||||||
\(408\) | −14.7424 | − | 133.627i | −0.0361334 | − | 0.327517i | ||||
\(409\) | −371.048 | + | 642.674i | −0.907209 | + | 1.57133i | −0.0892836 | + | 0.996006i | \(0.528458\pi\) |
−0.817925 | + | 0.575325i | \(0.804876\pi\) | |||||||
\(410\) | −101.367 | − | 58.5243i | −0.247237 | − | 0.142742i | ||||
\(411\) | −292.925 | + | 32.3170i | −0.712713 | + | 0.0786302i | ||||
\(412\) | −44.6332 | −0.108333 | ||||||||
\(413\) | −154.224 | − | 398.514i | −0.373423 | − | 0.964924i | ||||
\(414\) | −86.1007 | − | 93.6620i | −0.207973 | − | 0.226237i | ||||
\(415\) | −47.3973 | − | 82.0945i | −0.114210 | − | 0.197818i | ||||
\(416\) | 110.496 | + | 63.7951i | 0.265616 | + | 0.153354i | ||||
\(417\) | 282.541 | − | 207.514i | 0.677556 | − | 0.497636i | ||||
\(418\) | −79.3250 | − | 137.395i | −0.189773 | − | 0.328696i | ||||
\(419\) | 539.509i | 1.28761i | 0.765189 | + | 0.643806i | \(0.222645\pi\) | ||||
−0.765189 | + | 0.643806i | \(0.777355\pi\) | |||||||
\(420\) | −4.17510 | + | 93.8220i | −0.00994071 | + | 0.223386i | ||||
\(421\) | −367.291 | −0.872425 | −0.436212 | − | 0.899844i | \(-0.643680\pi\) | ||||
−0.436212 | + | 0.899844i | \(0.643680\pi\) | |||||||
\(422\) | 378.517 | − | 218.537i | 0.896959 | − | 0.517860i | ||||
\(423\) | −145.871 | − | 653.047i | −0.344848 | − | 1.54385i | ||||
\(424\) | −102.402 | + | 177.365i | −0.241514 | + | 0.418314i | ||||
\(425\) | −68.6049 | + | 39.6091i | −0.161423 | + | 0.0931978i | ||||
\(426\) | 348.481 | + | 153.003i | 0.818030 | + | 0.359163i | ||||
\(427\) | 33.3850 | − | 214.571i | 0.0781850 | − | 0.502509i | ||||
\(428\) | 107.384i | 0.250898i | ||||||||
\(429\) | 266.864 | − | 29.4418i | 0.622060 | − | 0.0686289i | ||||
\(430\) | 52.4223 | − | 90.7981i | 0.121912 | − | 0.211158i | ||||
\(431\) | 8.82344 | + | 5.09421i | 0.0204720 | + | 0.0118195i | 0.510201 | − | 0.860055i | \(-0.329571\pi\) |
−0.489729 | + | 0.871875i | \(0.662904\pi\) | |||||||
\(432\) | 71.0148 | − | 81.3689i | 0.164386 | − | 0.188354i | ||||
\(433\) | 709.612 | 1.63883 | 0.819413 | − | 0.573203i | \(-0.194300\pi\) | ||||
0.819413 | + | 0.573203i | \(0.194300\pi\) | |||||||
\(434\) | −27.5723 | + | 34.2395i | −0.0635306 | + | 0.0788928i | ||||
\(435\) | 144.302 | + | 63.3572i | 0.331729 | + | 0.145649i | ||||
\(436\) | 24.2374 | + | 41.9803i | 0.0555903 | + | 0.0962852i | ||||
\(437\) | −244.745 | − | 141.304i | −0.560057 | − | 0.323349i | ||||
\(438\) | −37.3846 | − | 50.9009i | −0.0853529 | − | 0.116212i | ||||
\(439\) | −167.463 | − | 290.054i | −0.381464 | − | 0.660714i | 0.609808 | − | 0.792549i | \(-0.291247\pi\) |
−0.991272 | + | 0.131835i | \(0.957913\pi\) | |||||||
\(440\) | 25.0948i | 0.0570336i | ||||||||
\(441\) | 439.257 | + | 39.1716i | 0.996047 | + | 0.0888245i | ||||
\(442\) | 505.373 | 1.14338 | ||||||||
\(443\) | −74.5229 | + | 43.0258i | −0.168223 | + | 0.0971237i | −0.581748 | − | 0.813369i | \(-0.697631\pi\) |
0.413525 | + | 0.910493i | \(0.364298\pi\) | |||||||
\(444\) | −107.994 | + | 79.3174i | −0.243231 | + | 0.178643i | ||||
\(445\) | −163.700 | + | 283.537i | −0.367866 | + | 0.637163i | ||||
\(446\) | −174.955 | + | 101.011i | −0.392277 | + | 0.226481i | ||||
\(447\) | 298.935 | − | 680.853i | 0.668757 | − | 1.52316i | ||||
\(448\) | 43.6161 | + | 35.1231i | 0.0973575 | + | 0.0783998i | ||||
\(449\) | − | 243.513i | − | 0.542346i | −0.962531 | − | 0.271173i | \(-0.912588\pi\) | ||
0.962531 | − | 0.271173i | \(-0.0874116\pi\) | |||||||
\(450\) | −60.7246 | − | 19.0399i | −0.134944 | − | 0.0423110i | ||||
\(451\) | −73.4326 | + | 127.189i | −0.162822 | + | 0.282016i | ||||
\(452\) | 181.529 | + | 104.806i | 0.401613 | + | 0.231872i | ||||
\(453\) | 58.6129 | + | 531.274i | 0.129388 | + | 1.17279i | ||||
\(454\) | 411.490 | 0.906367 | ||||||||
\(455\) | −348.844 | − | 54.2764i | −0.766690 | − | 0.119289i | ||||
\(456\) | 96.4455 | − | 219.664i | 0.211503 | − | 0.481720i | ||||
\(457\) | −137.076 | − | 237.423i | −0.299948 | − | 0.519525i | 0.676176 | − | 0.736740i | \(-0.263636\pi\) |
−0.976124 | + | 0.217215i | \(0.930303\pi\) | |||||||
\(458\) | 348.555 | + | 201.238i | 0.761037 | + | 0.439385i | ||||
\(459\) | 82.4510 | − | 419.757i | 0.179632 | − | 0.914503i | ||||
\(460\) | 22.3510 | + | 38.7130i | 0.0485890 | + | 0.0841587i | ||||
\(461\) | − | 462.678i | − | 1.00364i | −0.864972 | − | 0.501820i | \(-0.832664\pi\) | ||
0.864972 | − | 0.501820i | \(-0.167336\pi\) | |||||||
\(462\) | 117.722 | + | 5.23865i | 0.254810 | + | 0.0113391i | ||||
\(463\) | −431.966 | −0.932972 | −0.466486 | − | 0.884529i | \(-0.654480\pi\) | ||||
−0.466486 | + | 0.884529i | \(0.654480\pi\) | |||||||
\(464\) | 81.3835 | − | 46.9868i | 0.175395 | − | 0.101265i | ||||
\(465\) | −17.6339 | − | 24.0094i | −0.0379224 | − | 0.0516331i | ||||
\(466\) | 102.454 | − | 177.455i | 0.219858 | − | 0.380804i | ||||
\(467\) | −220.608 | + | 127.368i | −0.472394 | + | 0.272737i | −0.717241 | − | 0.696825i | \(-0.754596\pi\) |
0.244847 | + | 0.969562i | \(0.421262\pi\) | |||||||
\(468\) | 274.760 | + | 298.889i | 0.587094 | + | 0.638651i | ||||
\(469\) | −11.6369 | + | 4.50343i | −0.0248121 | + | 0.00960220i | ||||
\(470\) | 235.112i | 0.500238i | ||||||||
\(471\) | 79.1632 | + | 717.544i | 0.168075 | + | 1.52345i | ||||
\(472\) | 86.3306 | − | 149.529i | 0.182904 | − | 0.316799i | ||||
\(473\) | −113.928 | − | 65.7763i | −0.240862 | − | 0.139062i | ||||
\(474\) | 378.766 | − | 41.7875i | 0.799085 | − | 0.0881592i | ||||
\(475\) | −141.365 | −0.297611 | ||||||||
\(476\) | 219.174 | + | 34.1011i | 0.460449 | + | 0.0716410i | ||||
\(477\) | −479.766 | + | 441.035i | −1.00580 | + | 0.924602i | ||||
\(478\) | 35.1009 | + | 60.7966i | 0.0734329 | + | 0.127190i | ||||
\(479\) | −396.255 | − | 228.778i | −0.827254 | − | 0.477615i | 0.0256574 | − | 0.999671i | \(-0.491832\pi\) |
−0.852912 | + | 0.522055i | \(0.825165\pi\) | |||||||
\(480\) | −30.5845 | + | 22.4630i | −0.0637177 | + | 0.0467980i | ||||
\(481\) | −251.850 | − | 436.217i | −0.523597 | − | 0.906897i | ||||
\(482\) | − | 167.965i | − | 0.348476i | ||||||
\(483\) | 186.272 | − | 96.7690i | 0.385657 | − | 0.200350i | ||||
\(484\) | −210.513 | −0.434943 | ||||||||
\(485\) | 315.041 | − | 181.889i | 0.649569 | − | 0.375029i | ||||
\(486\) | 293.080 | − | 179.449i | 0.603046 | − | 0.369237i | ||||
\(487\) | −435.992 | + | 755.160i | −0.895261 | + | 1.55064i | −0.0617792 | + | 0.998090i | \(0.519677\pi\) |
−0.833482 | + | 0.552547i | \(0.813656\pi\) | |||||||
\(488\) | 75.9877 | − | 43.8715i | 0.155712 | − | 0.0899006i | ||||
\(489\) | 277.187 | + | 121.701i | 0.566844 | + | 0.248878i | ||||
\(490\) | −147.627 | − | 47.0780i | −0.301279 | − | 0.0960775i | ||||
\(491\) | 43.6406i | 0.0888810i | 0.999012 | + | 0.0444405i | \(0.0141505\pi\) | ||||
−0.999012 | + | 0.0444405i | \(0.985849\pi\) | |||||||
\(492\) | −220.745 | + | 24.3537i | −0.448668 | + | 0.0494994i | ||||
\(493\) | 186.110 | − | 322.353i | 0.377506 | − | 0.653859i | ||||
\(494\) | 781.016 | + | 450.920i | 1.58100 | + | 0.912793i | ||||
\(495\) | −23.8901 | + | 76.1935i | −0.0482629 | + | 0.153926i | ||||
\(496\) | −17.7629 | −0.0358124 | ||||||||
\(497\) | −393.844 | + | 489.079i | −0.792442 | + | 0.984062i | ||||
\(498\) | −164.686 | − | 72.3067i | −0.330694 | − | 0.145194i | ||||
\(499\) | 224.819 | + | 389.397i | 0.450538 | + | 0.780355i | 0.998419 | − | 0.0562011i | \(-0.0178988\pi\) |
−0.547881 | + | 0.836556i | \(0.684565\pi\) | |||||||
\(500\) | 19.3649 | + | 11.1803i | 0.0387298 | + | 0.0223607i | ||||
\(501\) | 445.370 | + | 606.393i | 0.888963 | + | 1.21037i | ||||
\(502\) | 21.1176 | + | 36.5767i | 0.0420668 | + | 0.0728619i | ||||
\(503\) | 910.519i | 1.81018i | 0.425222 | + | 0.905089i | \(0.360196\pi\) | ||||
−0.425222 | + | 0.905089i | \(0.639804\pi\) | |||||||
\(504\) | 98.9917 | + | 148.164i | 0.196412 | + | 0.293977i | ||||
\(505\) | 432.901 | 0.857229 | ||||||||
\(506\) | 48.5747 | − | 28.0446i | 0.0959973 | − | 0.0554241i | ||||
\(507\) | −821.432 | + | 603.307i | −1.62018 | + | 1.18995i | ||||
\(508\) | −9.12083 | + | 15.7977i | −0.0179544 | + | 0.0310979i | ||||
\(509\) | −240.575 | + | 138.896i | −0.472641 | + | 0.272880i | −0.717345 | − | 0.696718i | \(-0.754643\pi\) |
0.244703 | + | 0.969598i | \(0.421309\pi\) | |||||||
\(510\) | −60.4254 | + | 137.625i | −0.118481 | + | 0.269853i | ||||
\(511\) | 97.1767 | − | 37.6071i | 0.190170 | − | 0.0735951i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 501.951 | − | 575.136i | 0.978461 | − | 1.12112i | ||||
\(514\) | 137.895 | − | 238.842i | 0.268279 | − | 0.464673i | ||||
\(515\) | 43.2159 | + | 24.9507i | 0.0839144 | + | 0.0484480i | ||||
\(516\) | −21.8145 | − | 197.729i | −0.0422762 | − | 0.383196i | ||||
\(517\) | 295.004 | 0.570607 | ||||||||
\(518\) | −79.7895 | − | 206.176i | −0.154034 | − | 0.398023i | ||||
\(519\) | 185.526 | − | 422.554i | 0.357468 | − | 0.814170i | ||||
\(520\) | −71.3251 | − | 123.539i | −0.137164 | − | 0.237574i | ||||
\(521\) | −765.920 | − | 442.204i | −1.47010 | − | 0.848761i | −0.470660 | − | 0.882315i | \(-0.655984\pi\) |
−0.999437 | + | 0.0335541i | \(0.989317\pi\) | |||||||
\(522\) | 291.830 | − | 65.1859i | 0.559062 | − | 0.124877i | ||||
\(523\) | 238.156 | + | 412.499i | 0.455366 | + | 0.788717i | 0.998709 | − | 0.0507939i | \(-0.0161752\pi\) |
−0.543343 | + | 0.839511i | \(0.682842\pi\) | |||||||
\(524\) | − | 453.918i | − | 0.866256i | ||||||
\(525\) | 56.4906 | − | 88.5088i | 0.107601 | − | 0.168588i | ||||
\(526\) | −181.934 | −0.345881 | ||||||||
\(527\) | −60.9313 | + | 35.1787i | −0.115619 | + | 0.0667527i | ||||
\(528\) | 28.1852 | + | 38.3756i | 0.0533811 | + | 0.0726810i | ||||
\(529\) | −214.543 | + | 371.600i | −0.405564 | + | 0.702458i | ||||
\(530\) | 198.300 | − | 114.489i | 0.374151 | − | 0.216016i | ||||
\(531\) | 404.471 | − | 371.818i | 0.761716 | − | 0.700223i | ||||
\(532\) | 308.290 | + | 248.259i | 0.579493 | + | 0.466652i | ||||
\(533\) | − | 834.850i | − | 1.56632i | ||||||
\(534\) | 68.1206 | + | 617.453i | 0.127567 | + | 1.15628i | ||||
\(535\) | 60.0297 | − | 103.975i | 0.112205 | − | 0.194345i | ||||
\(536\) | −4.36635 | − | 2.52091i | −0.00814617 | − | 0.00470319i | ||||
\(537\) | 207.790 | − | 22.9245i | 0.386946 | − | 0.0426899i | ||||
\(538\) | −14.3839 | −0.0267360 | ||||||||
\(539\) | −59.0705 | + | 185.233i | −0.109593 | + | 0.343660i | ||||
\(540\) | −114.246 | + | 39.0866i | −0.211567 | + | 0.0723826i | ||||
\(541\) | 232.979 | + | 403.531i | 0.430645 | + | 0.745899i | 0.996929 | − | 0.0783114i | \(-0.0249528\pi\) |
−0.566284 | + | 0.824210i | \(0.691620\pi\) | |||||||
\(542\) | −448.661 | − | 259.035i | −0.827788 | − | 0.477924i | ||||
\(543\) | −380.446 | + | 279.421i | −0.700637 | + | 0.514588i | ||||
\(544\) | 44.8126 | + | 77.6176i | 0.0823760 | + | 0.142679i | ||||
\(545\) | − | 54.1964i | − | 0.0994429i | ||||||
\(546\) | −594.422 | + | 308.804i | −1.08868 | + | 0.565575i | ||||
\(547\) | 168.476 | 0.308000 | 0.154000 | − | 0.988071i | \(-0.450784\pi\) | ||||
0.154000 | + | 0.988071i | \(0.450784\pi\) | |||||||
\(548\) | 170.146 | − | 98.2341i | 0.310486 | − | 0.179259i | ||||
\(549\) | 272.482 | − | 60.8640i | 0.496324 | − | 0.110863i | ||||
\(550\) | 14.0284 | − | 24.2979i | 0.0255062 | − | 0.0441780i | ||||
\(551\) | 575.239 | − | 332.114i | 1.04399 | − | 0.602749i | ||||
\(552\) | 77.6602 | + | 34.0974i | 0.140689 | + | 0.0617706i | ||||
\(553\) | −96.6598 | + | 621.250i | −0.174792 | + | 1.12342i | ||||
\(554\) | − | 262.030i | − | 0.472979i | ||||||
\(555\) | 148.905 | − | 16.4280i | 0.268297 | − | 0.0296000i | ||||
\(556\) | −116.853 | + | 202.395i | −0.210167 | + | 0.364020i | ||||
\(557\) | −124.601 | − | 71.9384i | −0.223700 | − | 0.129153i | 0.383962 | − | 0.923349i | \(-0.374559\pi\) |
−0.607662 | + | 0.794195i | \(0.707893\pi\) | |||||||
\(558\) | −53.9324 | − | 16.9103i | −0.0966530 | − | 0.0303051i | ||||
\(559\) | 747.805 | 1.33776 | ||||||||
\(560\) | −22.5967 | − | 58.3900i | −0.0403513 | − | 0.104268i | ||||
\(561\) | 172.683 | + | 75.8181i | 0.307813 | + | 0.135148i | ||||
\(562\) | −0.466226 | − | 0.807528i | −0.000829584 | − | 0.00143688i | ||||
\(563\) | 55.1604 | + | 31.8469i | 0.0979758 | + | 0.0565664i | 0.548187 | − | 0.836356i | \(-0.315318\pi\) |
−0.450212 | + | 0.892922i | \(0.648651\pi\) | |||||||
\(564\) | 264.066 | + | 359.539i | 0.468202 | + | 0.637480i | ||||
\(565\) | −117.177 | − | 202.956i | −0.207392 | − | 0.359214i | ||||
\(566\) | − | 476.100i | − | 0.841165i | ||||||
\(567\) | 159.510 | + | 544.101i | 0.281322 | + | 0.959613i | ||||
\(568\) | −253.727 | −0.446702 | ||||||||
\(569\) | 697.403 | − | 402.646i | 1.22566 | − | 0.707638i | 0.259544 | − | 0.965731i | \(-0.416428\pi\) |
0.966120 | + | 0.258094i | \(0.0830943\pi\) | |||||||
\(570\) | −216.179 | + | 158.774i | −0.379262 | + | 0.278552i | ||||
\(571\) | −330.642 | + | 572.690i | −0.579059 | + | 1.00296i | 0.416529 | + | 0.909122i | \(0.363246\pi\) |
−0.995588 | + | 0.0938366i | \(0.970087\pi\) | |||||||
\(572\) | −155.009 | + | 89.4943i | −0.270994 | + | 0.156459i | ||||
\(573\) | 360.441 | − | 820.941i | 0.629042 | − | 1.43271i | ||||
\(574\) | 56.3332 | − | 362.064i | 0.0981415 | − | 0.630773i | ||||
\(575\) | − | 49.9782i | − | 0.0869187i | ||||||
\(576\) | −21.5412 | + | 68.7021i | −0.0373980 | + | 0.119274i | ||||
\(577\) | 198.628 | − | 344.034i | 0.344243 | − | 0.596247i | −0.640973 | − | 0.767564i | \(-0.721469\pi\) |
0.985216 | + | 0.171317i | \(0.0548022\pi\) | |||||||
\(578\) | −46.5150 | − | 26.8554i | −0.0804758 | − | 0.0464627i | ||||
\(579\) | −33.6387 | − | 304.905i | −0.0580980 | − | 0.526607i | ||||
\(580\) | −105.066 | −0.181148 | ||||||||
\(581\) | 186.124 | − | 231.130i | 0.320350 | − | 0.397814i | ||||
\(582\) | 277.480 | − | 631.988i | 0.476769 | − | 1.08589i | ||||
\(583\) | −143.653 | − | 248.815i | −0.246404 | − | 0.426783i | ||||
\(584\) | 36.4623 | + | 21.0515i | 0.0624355 | + | 0.0360472i | ||||
\(585\) | −98.9511 | − | 442.993i | −0.169147 | − | 0.757254i | ||||
\(586\) | 334.907 | + | 580.077i | 0.571514 | + | 0.989892i | ||||
\(587\) | 251.560i | 0.428552i | 0.976773 | + | 0.214276i | \(0.0687392\pi\) | ||||
−0.976773 | + | 0.214276i | \(0.931261\pi\) | |||||||
\(588\) | −278.630 | + | 93.8144i | −0.473861 | + | 0.159548i | ||||
\(589\) | −125.553 | −0.213163 | ||||||||
\(590\) | −167.179 | + | 96.5206i | −0.283354 | + | 0.163594i | ||||
\(591\) | 362.688 | + | 493.818i | 0.613686 | + | 0.835563i | ||||
\(592\) | 44.6642 | − | 77.3607i | 0.0754464 | − | 0.130677i | ||||
\(593\) | −90.1278 | + | 52.0353i | −0.151986 | + | 0.0877493i | −0.574064 | − | 0.818810i | \(-0.694634\pi\) |
0.422078 | + | 0.906559i | \(0.361301\pi\) | |||||||
\(594\) | 49.0435 | + | 143.349i | 0.0825648 | + | 0.241329i | ||||
\(595\) | −193.151 | − | 155.540i | −0.324624 | − | 0.261412i | ||||
\(596\) | 495.725i | 0.831754i | ||||||||
\(597\) | −69.9880 | − | 634.379i | −0.117233 | − | 1.06261i | ||||
\(598\) | −159.418 | + | 276.121i | −0.266586 | + | 0.461740i | ||||
\(599\) | 272.192 | + | 157.150i | 0.454411 | + | 0.262354i | 0.709691 | − | 0.704513i | \(-0.248834\pi\) |
−0.255280 | + | 0.966867i | \(0.582168\pi\) | |||||||
\(600\) | 42.1705 | − | 4.65247i | 0.0702842 | − | 0.00775412i | ||||
\(601\) | −504.012 | −0.838622 | −0.419311 | − | 0.907843i | \(-0.637728\pi\) | ||||
−0.419311 | + | 0.907843i | \(0.637728\pi\) | |||||||
\(602\) | 324.314 | + | 50.4597i | 0.538727 | + | 0.0838201i | ||||
\(603\) | −10.8573 | − | 11.8108i | −0.0180055 | − | 0.0195868i | ||||
\(604\) | −178.166 | − | 308.592i | −0.294976 | − | 0.510914i | ||||
\(605\) | 203.828 | + | 117.680i | 0.336906 | + | 0.194513i | ||||
\(606\) | 662.002 | − | 486.213i | 1.09241 | − | 0.802331i | ||||
\(607\) | −122.172 | − | 211.609i | −0.201273 | − | 0.348614i | 0.747666 | − | 0.664075i | \(-0.231174\pi\) |
−0.948939 | + | 0.315460i | \(0.897841\pi\) | |||||||
\(608\) | 159.936i | 0.263053i | ||||||||
\(609\) | −21.9330 | + | 492.873i | −0.0360147 | + | 0.809316i | ||||
\(610\) | −98.0997 | −0.160819 | ||||||||
\(611\) | −1452.27 | + | 838.468i | −2.37687 | + | 1.37229i | ||||
\(612\) | 62.1696 | + | 278.326i | 0.101584 | + | 0.454782i | ||||
\(613\) | −80.6234 | + | 139.644i | −0.131523 | + | 0.227804i | −0.924264 | − | 0.381755i | \(-0.875320\pi\) |
0.792741 | + | 0.609559i | \(0.208653\pi\) | |||||||
\(614\) | 147.353 | − | 85.0743i | 0.239989 | − | 0.138557i | ||||
\(615\) | 227.349 | + | 99.8196i | 0.369674 | + | 0.162308i | ||||
\(616\) | −73.2641 | + | 28.3530i | −0.118935 | + | 0.0460276i | ||||
\(617\) | − | 115.268i | − | 0.186820i | −0.995628 | − | 0.0934102i | \(-0.970223\pi\) | ||
0.995628 | − | 0.0934102i | \(-0.0297768\pi\) | |||||||
\(618\) | 94.1103 | − | 10.3827i | 0.152282 | − | 0.0168005i | ||||
\(619\) | 161.459 | − | 279.656i | 0.260839 | − | 0.451786i | −0.705626 | − | 0.708584i | \(-0.749334\pi\) |
0.966465 | + | 0.256798i | \(0.0826675\pi\) | |||||||
\(620\) | 17.1989 | + | 9.92978i | 0.0277401 | + | 0.0160158i | ||||
\(621\) | 203.334 | + | 177.460i | 0.327430 | + | 0.285765i | ||||
\(622\) | −112.346 | −0.180621 | ||||||||
\(623\) | −1012.74 | − | 157.572i | −1.62559 | − | 0.252924i | ||||
\(624\) | −247.825 | − | 108.810i | −0.397155 | − | 0.174374i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −638.679 | − | 368.742i | −1.02025 | − | 0.589044i | ||||
\(627\) | 199.220 | + | 271.248i | 0.317736 | + | 0.432613i | ||||
\(628\) | −240.633 | − | 416.788i | −0.383173 | − | 0.663675i | ||||
\(629\) | − | 353.822i | − | 0.562515i | ||||||
\(630\) | −13.0219 | − | 198.797i | −0.0206697 | − | 0.315552i | ||||
\(631\) | 508.982 | 0.806628 | 0.403314 | − | 0.915062i | \(-0.367858\pi\) | ||||
0.403314 | + | 0.915062i | \(0.367858\pi\) | |||||||
\(632\) | −220.008 | + | 127.021i | −0.348113 | + | 0.200983i | ||||
\(633\) | −747.276 | + | 548.843i | −1.18053 | + | 0.867050i | ||||
\(634\) | 32.0861 | − | 55.5748i | 0.0506090 | − | 0.0876574i | ||||
\(635\) | 17.6624 | − | 10.1974i | 0.0278148 | − | 0.0160589i | ||||
\(636\) | 174.658 | − | 397.800i | 0.274619 | − | 0.625472i | ||||
\(637\) | −235.677 | − | 1079.77i | −0.369980 | − | 1.69509i | ||||
\(638\) | 131.830i | 0.206630i | ||||||||
\(639\) | −770.373 | − | 241.547i | −1.20559 | − | 0.378008i | ||||
\(640\) | 12.6491 | − | 21.9089i | 0.0197642 | − | 0.0342327i | ||||
\(641\) | 717.155 | + | 414.050i | 1.11881 | + | 0.645943i | 0.941096 | − | 0.338140i | \(-0.109798\pi\) |
0.177710 | + | 0.984083i | \(0.443131\pi\) | |||||||
\(642\) | −24.9802 | − | 226.423i | −0.0389099 | − | 0.352684i | ||||
\(643\) | 676.813 | 1.05259 | 0.526293 | − | 0.850303i | \(-0.323581\pi\) | ||||
0.526293 | + | 0.850303i | \(0.323581\pi\) | |||||||
\(644\) | −87.7695 | + | 108.993i | −0.136288 | + | 0.169244i | ||||
\(645\) | −89.4121 | + | 203.645i | −0.138623 | + | 0.315729i | ||||
\(646\) | 316.747 | + | 548.621i | 0.490320 | + | 0.849259i | ||||
\(647\) | 262.244 | + | 151.407i | 0.405323 | + | 0.234013i | 0.688778 | − | 0.724972i | \(-0.258147\pi\) |
−0.283455 | + | 0.958985i | \(0.591481\pi\) | |||||||
\(648\) | −130.808 | + | 188.088i | −0.201865 | + | 0.290260i | ||||
\(649\) | 121.108 | + | 209.765i | 0.186607 | + | 0.323213i | ||||
\(650\) | 159.488i | 0.245366i | ||||||||
\(651\) | 50.1720 | − | 78.6088i | 0.0770691 | − | 0.120751i | ||||
\(652\) | −201.818 | −0.309537 | ||||||||
\(653\) | 525.385 | − | 303.331i | 0.804572 | − | 0.464520i | −0.0404956 | − | 0.999180i | \(-0.512894\pi\) |
0.845067 | + | 0.534660i | \(0.179560\pi\) | |||||||
\(654\) | −60.8707 | − | 82.8785i | −0.0930745 | − | 0.126726i | ||||
\(655\) | −253.748 | + | 439.504i | −0.387401 | + | 0.670999i | ||||
\(656\) | 128.220 | − | 74.0280i | 0.195458 | − | 0.112848i | ||||
\(657\) | 90.6671 | + | 98.6294i | 0.138002 | + | 0.150121i | ||||
\(658\) | −686.408 | + | 265.638i | −1.04317 | + | 0.403705i | ||||
\(659\) | 48.8209i | 0.0740833i | 0.999314 | + | 0.0370416i | \(0.0117934\pi\) | ||||
−0.999314 | + | 0.0370416i | \(0.988207\pi\) | |||||||
\(660\) | −5.83764 | − | 52.9130i | −0.00884491 | − | 0.0801712i | ||||
\(661\) | 186.358 | − | 322.782i | 0.281934 | − | 0.488324i | −0.689927 | − | 0.723879i | \(-0.742357\pi\) |
0.971861 | + | 0.235555i | \(0.0756908\pi\) | |||||||
\(662\) | −236.451 | − | 136.515i | −0.357177 | − | 0.206216i | ||||
\(663\) | −1065.59 | + | 117.562i | −1.60723 | + | 0.177318i | ||||
\(664\) | 119.907 | 0.180582 | ||||||||
\(665\) | −159.720 | − | 412.715i | −0.240180 | − | 0.620624i | ||||
\(666\) | 209.258 | − | 192.365i | 0.314201 | − | 0.288836i | ||||
\(667\) | 117.416 | + | 203.370i | 0.176036 | + | 0.304903i | ||||
\(668\) | −434.384 | − | 250.792i | −0.650275 | − | 0.375436i | ||||
\(669\) | 345.401 | − | 253.682i | 0.516294 | − | 0.379196i | ||||
\(670\) | 2.81846 | + | 4.88172i | 0.00420666 | + | 0.00728616i | ||||
\(671\) | 123.089i | 0.183442i | ||||||||
\(672\) | −100.136 | − | 63.9118i | −0.149012 | − | 0.0951069i | ||||
\(673\) | 600.023 | 0.891565 | 0.445782 | − | 0.895141i | \(-0.352926\pi\) | ||||
0.445782 | + | 0.895141i | \(0.352926\pi\) | |||||||
\(674\) | 66.6472 | − | 38.4788i | 0.0988831 | − | 0.0570902i | ||||
\(675\) | 132.469 | + | 26.0202i | 0.196250 | + | 0.0385485i | ||||
\(676\) | 339.727 | − | 588.424i | 0.502555 | − | 0.870450i | ||||
\(677\) | −49.4340 | + | 28.5407i | −0.0730192 | + | 0.0421576i | −0.536065 | − | 0.844177i | \(-0.680090\pi\) |
0.463046 | + | 0.886334i | \(0.346757\pi\) | |||||||
\(678\) | −407.140 | − | 178.758i | −0.600501 | − | 0.263655i | ||||
\(679\) | 886.970 | + | 714.256i | 1.30629 | + | 1.05192i | ||||
\(680\) | − | 100.204i | − | 0.147359i | ||||||
\(681\) | −867.639 | + | 95.7224i | −1.27407 | + | 0.140562i | ||||
\(682\) | 12.4593 | − | 21.5801i | 0.0182687 | − | 0.0316424i | ||||
\(683\) | −996.364 | − | 575.251i | −1.45881 | − | 0.842241i | −0.459852 | − | 0.887995i | \(-0.652098\pi\) |
−0.998953 | + | 0.0457539i | \(0.985431\pi\) | |||||||
\(684\) | −152.259 | + | 485.604i | −0.222601 | + | 0.709947i | ||||
\(685\) | −219.658 | −0.320669 | ||||||||
\(686\) | −29.3503 | − | 484.186i | −0.0427847 | − | 0.705811i | ||||
\(687\) | −781.751 | − | 343.234i | −1.13792 | − | 0.499613i | ||||
\(688\) | 66.3096 | + | 114.852i | 0.0963802 | + | 0.166935i | ||||
\(689\) | 1414.38 | + | 816.591i | 2.05280 | + | 1.18518i | ||||
\(690\) | −56.1331 | − | 76.4280i | −0.0813524 | − | 0.110765i | ||||
\(691\) | −677.214 | − | 1172.97i | −0.980049 | − | 1.69749i | −0.662152 | − | 0.749370i | \(-0.730357\pi\) |
−0.317897 | − | 0.948125i | \(-0.602977\pi\) | |||||||
\(692\) | 307.659i | 0.444594i | ||||||||
\(693\) | −249.439 | + | 16.3391i | −0.359940 | + | 0.0235774i | ||||
\(694\) | 620.021 | 0.893401 | ||||||||
\(695\) | 226.285 | − | 130.646i | 0.325590 | − | 0.187979i | ||||
\(696\) | −160.669 | + | 118.005i | −0.230846 | + | 0.169547i | ||||
\(697\) | 293.218 | − | 507.869i | 0.420686 | − | 0.728649i | ||||
\(698\) | −790.341 | + | 456.304i | −1.13229 | + | 0.653730i | ||||
\(699\) | −174.746 | + | 398.002i | −0.249994 | + | 0.569387i | ||||
\(700\) | −10.7618 | + | 69.1678i | −0.0153740 | + | 0.0988111i | ||||
\(701\) | 224.033i | 0.319590i | 0.987150 | + | 0.159795i | \(0.0510833\pi\) | ||||
−0.987150 | + | 0.159795i | \(0.948917\pi\) | |||||||
\(702\) | −648.867 | − | 566.300i | −0.924312 | − | 0.806695i | ||||
\(703\) | 315.698 | − | 546.805i | 0.449073 | − | 0.777817i | ||||
\(704\) | −27.4899 | − | 15.8713i | −0.0390482 | − | 0.0225445i | ||||
\(705\) | −54.6926 | − | 495.740i | −0.0775781 | − | 0.703177i | ||||
\(706\) | 505.741 | 0.716347 | ||||||||
\(707\) | 489.107 | + | 1263.85i | 0.691807 | + | 1.78763i | ||||
\(708\) | −147.246 | + | 335.369i | −0.207975 | + | 0.473685i | ||||
\(709\) | −267.015 | − | 462.483i | −0.376608 | − | 0.652304i | 0.613958 | − | 0.789338i | \(-0.289576\pi\) |
−0.990566 | + | 0.137034i | \(0.956243\pi\) | |||||||
\(710\) | 245.670 | + | 141.838i | 0.346014 | + | 0.199771i | ||||
\(711\) | −788.918 | + | 176.220i | −1.10959 | + | 0.247848i | ||||
\(712\) | −207.066 | − | 358.650i | −0.290824 | − | 0.503721i | ||||
\(713\) | − | 44.3880i | − | 0.0622553i | ||||||
\(714\) | −470.067 | − | 20.9181i | −0.658357 | − | 0.0292970i | ||||
\(715\) | 200.115 | 0.279882 | ||||||||
\(716\) | −120.695 | + | 69.6836i | −0.168569 | + | 0.0973234i | ||||
\(717\) | −88.1540 | − | 120.026i | −0.122948 | − | 0.167400i | ||||
\(718\) | −432.632 | + | 749.340i | −0.602551 | + | 1.04365i | ||||
\(719\) | 451.069 | − | 260.425i | 0.627356 | − | 0.362204i | −0.152371 | − | 0.988323i | \(-0.548691\pi\) |
0.779727 | + | 0.626119i | \(0.215358\pi\) | |||||||
\(720\) | 59.2628 | − | 54.4786i | 0.0823095 | − | 0.0756647i | ||||
\(721\) | −24.0166 | + | 154.359i | −0.0333101 | + | 0.214090i | ||||
\(722\) | 619.939i | 0.858642i | ||||||||
\(723\) | 39.0727 | + | 354.160i | 0.0540425 | + | 0.489847i | ||||
\(724\) | 157.344 | − | 272.528i | 0.217327 | − | 0.376421i | ||||
\(725\) | 101.729 | + | 58.7335i | 0.140316 | + | 0.0810117i | ||||
\(726\) | 443.872 | − | 48.9702i | 0.611393 | − | 0.0674521i | ||||
\(727\) | −283.691 | −0.390221 | −0.195111 | − | 0.980781i | \(-0.562507\pi\) | ||||
−0.195111 | + | 0.980781i | \(0.562507\pi\) | |||||||
\(728\) | 280.085 | − | 347.812i | 0.384732 | − | 0.477764i | ||||
\(729\) | −576.224 | + | 446.550i | −0.790430 | + | 0.612552i | ||||
\(730\) | −23.5363 | − | 40.7661i | −0.0322416 | − | 0.0558440i | ||||
\(731\) | 454.916 | + | 262.646i | 0.622321 | + | 0.359297i | ||||
\(732\) | −150.017 | + | 110.181i | −0.204941 | + | 0.150520i | ||||
\(733\) | 26.5529 | + | 45.9910i | 0.0362250 | + | 0.0627435i | 0.883569 | − | 0.468300i | \(-0.155133\pi\) |
−0.847344 | + | 0.531044i | \(0.821800\pi\) | |||||||
\(734\) | 351.827i | 0.479328i | ||||||||
\(735\) | 322.227 | + | 64.9236i | 0.438403 | + | 0.0883315i | ||||
\(736\) | −56.5439 | −0.0768260 | ||||||||
\(737\) | 6.12529 | − | 3.53644i | 0.00831111 | − | 0.00479842i | ||||
\(738\) | 459.781 | − | 102.701i | 0.623009 | − | 0.139161i | ||||
\(739\) | 350.373 | − | 606.864i | 0.474118 | − | 0.821197i | −0.525443 | − | 0.850829i | \(-0.676100\pi\) |
0.999561 | + | 0.0296323i | \(0.00943363\pi\) | |||||||
\(740\) | −86.4919 | + | 49.9361i | −0.116881 | + | 0.0674813i | ||||
\(741\) | −1751.69 | − | 769.094i | −2.36395 | − | 1.03791i | ||||
\(742\) | 558.296 | + | 449.583i | 0.752421 | + | 0.605907i | ||||
\(743\) | − | 714.620i | − | 0.961803i | −0.876775 | − | 0.480902i | \(-0.840309\pi\) | ||
0.876775 | − | 0.480902i | \(-0.159691\pi\) | |||||||
\(744\) | 37.4536 | − | 4.13208i | 0.0503409 | − | 0.00555387i | ||||
\(745\) | 277.119 | − | 479.984i | 0.371972 | − | 0.644274i | ||||
\(746\) | −214.079 | − | 123.599i | −0.286970 | − | 0.165682i | ||||
\(747\) | 364.065 | + | 114.151i | 0.487369 | + | 0.152812i | ||||
\(748\) | −125.730 | −0.168088 | ||||||||
\(749\) | 371.377 | + | 57.7823i | 0.495831 | + | 0.0771459i | ||||
\(750\) | −43.4323 | − | 19.0693i | −0.0579097 | − | 0.0254257i | ||||
\(751\) | 206.062 | + | 356.909i | 0.274383 | + | 0.475246i | 0.969979 | − | 0.243187i | \(-0.0781930\pi\) |
−0.695596 | + | 0.718433i | \(0.744860\pi\) | |||||||
\(752\) | −257.552 | − | 148.698i | −0.342489 | − | 0.197736i | ||||
\(753\) | −53.0355 | − | 72.2105i | −0.0704323 | − | 0.0958970i | ||||
\(754\) | −374.691 | − | 648.984i | −0.496937 | − | 0.860721i | ||||
\(755\) | 398.391i | 0.527670i | ||||||||
\(756\) | −243.193 | − | 289.381i | −0.321684 | − | 0.382779i | ||||
\(757\) | 85.9332 | 0.113518 | 0.0567590 | − | 0.998388i | \(-0.481923\pi\) | ||||
0.0567590 | + | 0.998388i | \(0.481923\pi\) | |||||||
\(758\) | 153.071 | − | 88.3758i | 0.201941 | − | 0.116591i | ||||
\(759\) | −95.8971 | + | 70.4324i | −0.126347 | + | 0.0927963i | ||||
\(760\) | 89.4071 | − | 154.858i | 0.117641 | − | 0.203760i | ||||
\(761\) | −466.638 | + | 269.414i | −0.613191 | + | 0.354026i | −0.774213 | − | 0.632925i | \(-0.781854\pi\) |
0.161022 | + | 0.986951i | \(0.448521\pi\) | |||||||
\(762\) | 15.5566 | − | 35.4317i | 0.0204155 | − | 0.0464983i | ||||
\(763\) | 158.226 | − | 61.2331i | 0.207374 | − | 0.0802531i | ||||
\(764\) | 597.722i | 0.782359i | ||||||||
\(765\) | 95.3938 | − | 304.242i | 0.124698 | − | 0.397702i | ||||
\(766\) | 203.071 | − | 351.730i | 0.265106 | − | 0.459177i | ||||
\(767\) | −1192.40 | − | 688.434i | −1.55463 | − | 0.897567i | ||||
\(768\) | −5.26367 | − | 47.7105i | −0.00685374 | − | 0.0621231i | ||||
\(769\) | 284.283 | 0.369679 | 0.184840 | − | 0.982769i | \(-0.440823\pi\) | ||||
0.184840 | + | 0.982769i | \(0.440823\pi\) | |||||||
\(770\) | 86.7875 | + | 13.5032i | 0.112711 | + | 0.0175366i | ||||
\(771\) | −235.196 | + | 535.682i | −0.305053 | + | 0.694788i | ||||
\(772\) | 102.252 | + | 177.105i | 0.132450 | + | 0.229411i | ||||
\(773\) | 971.569 | + | 560.936i | 1.25688 | + | 0.725661i | 0.972467 | − | 0.233041i | \(-0.0748676\pi\) |
0.284414 | + | 0.958701i | \(0.408201\pi\) | |||||||
\(774\) | 91.9929 | + | 411.842i | 0.118854 | + | 0.532096i | ||||
\(775\) | −11.1018 | − | 19.2289i | −0.0143250 | − | 0.0248115i | ||||
\(776\) | 460.147i | 0.592973i | ||||||||
\(777\) | 216.200 | + | 416.167i | 0.278249 | + | 0.535607i | ||||
\(778\) | −82.7121 | −0.106314 | ||||||||
\(779\) | 906.293 | − | 523.249i | 1.16341 | − | 0.671693i | ||||
\(780\) | 179.129 | + | 243.893i | 0.229652 | + | 0.312683i | ||||
\(781\) | 177.969 | − | 308.251i | 0.227873 | − | 0.394688i | ||||
\(782\) | −193.960 | + | 111.983i | −0.248030 | + | 0.143200i | ||||
\(783\) | −600.168 | + | 205.333i | −0.766499 | + | 0.262239i | ||||
\(784\) | 144.939 | − | 131.942i | 0.184871 | − | 0.168294i | ||||
\(785\) | 538.071i | 0.685440i | ||||||||
\(786\) | 105.592 | + | 957.098i | 0.134341 | + | 1.21768i | ||||
\(787\) | −207.092 | + | 358.695i | −0.263142 | + | 0.455775i | −0.967075 | − | 0.254491i | \(-0.918092\pi\) |
0.703933 | + | 0.710266i | \(0.251425\pi\) | |||||||
\(788\) | −353.742 | − | 204.233i | −0.448911 | − | 0.259179i | ||||
\(789\) | 383.612 | − | 42.3221i | 0.486200 | − | 0.0536402i | ||||
\(790\) | 284.029 | 0.359530 | ||||||||
\(791\) | 460.139 | − | 571.404i | 0.581718 | − | 0.722382i | ||||
\(792\) | −68.3564 | − | 74.3593i | −0.0863085 | − | 0.0938881i | ||||
\(793\) | −349.848 | − | 605.955i | −0.441171 | − | 0.764130i | ||||
\(794\) | −518.268 | − | 299.222i | −0.652730 | − | 0.376854i | ||||
\(795\) | −391.488 | + | 287.532i | −0.492438 | + | 0.361675i | ||||
\(796\) | 212.743 | + | 368.481i | 0.267265 | + | 0.462916i | ||||
\(797\) | − | 951.057i | − | 1.19330i | −0.802503 | − | 0.596648i | \(-0.796499\pi\) | ||
0.802503 | − | 0.596648i | \(-0.203501\pi\) | |||||||
\(798\) | −707.789 | − | 451.745i | −0.886953 | − | 0.566097i | ||||
\(799\) | −1177.96 | −1.47429 | ||||||||
\(800\) | −24.4949 | + | 14.1421i | −0.0306186 | + | 0.0176777i | ||||
\(801\) | −287.268 | − | 1286.07i | −0.358637 | − | 1.60558i | ||||
\(802\) | 77.3385 | − | 133.954i | 0.0964321 | − | 0.167025i | ||||
\(803\) | −51.1508 | + | 29.5319i | −0.0636996 | + | 0.0367770i | ||||
\(804\) | 9.79298 | + | 4.29969i | 0.0121803 | + | 0.00534788i | ||||
\(805\) | 145.911 | − | 56.4673i | 0.181256 | − | 0.0701457i | ||||
\(806\) | 141.649i | 0.175743i | ||||||||
\(807\) | 30.3289 | − | 3.34605i | 0.0375823 | − | 0.00414628i | ||||
\(808\) | −273.790 | + | 474.219i | −0.338849 | + | 0.586904i | ||||
\(809\) | 1065.12 | + | 614.948i | 1.31659 | + | 0.760133i | 0.983178 | − | 0.182649i | \(-0.0584671\pi\) |
0.333411 | + | 0.942782i | \(0.391800\pi\) | |||||||
\(810\) | 231.799 | − | 108.992i | 0.286172 | − | 0.134558i | ||||
\(811\) | −1449.23 | −1.78696 | −0.893482 | − | 0.449098i | \(-0.851745\pi\) | ||||
−0.893482 | + | 0.449098i | \(0.851745\pi\) | |||||||
\(812\) | −118.707 | − | 306.739i | −0.146191 | − | 0.377757i | ||||
\(813\) | 1006.27 | + | 441.812i | 1.23773 | + | 0.543435i | ||||
\(814\) | 62.6568 | + | 108.525i | 0.0769739 | + | 0.133323i | ||||
\(815\) | 195.410 | + | 112.820i | 0.239766 | + | 0.138429i | ||||
\(816\) | −112.544 | − | 153.234i | −0.137922 | − | 0.187787i | ||||
\(817\) | 468.693 | + | 811.800i | 0.573675 | + | 0.993635i | ||||
\(818\) | 1049.48i | 1.28299i | ||||||||
\(819\) | 1181.52 | − | 789.398i | 1.44264 | − | 0.963856i | ||||
\(820\) | −165.532 | −0.201868 | ||||||||
\(821\) | −393.845 | + | 227.387i | −0.479714 | + | 0.276963i | −0.720297 | − | 0.693665i | \(-0.755995\pi\) |
0.240583 | + | 0.970629i | \(0.422661\pi\) | |||||||
\(822\) | −335.907 | + | 246.709i | −0.408646 | + | 0.300133i | ||||
\(823\) | 453.304 | − | 785.146i | 0.550795 | − | 0.954005i | −0.447422 | − | 0.894323i | \(-0.647658\pi\) |
0.998217 | − | 0.0596822i | \(-0.0190087\pi\) | |||||||
\(824\) | −54.6643 | + | 31.5604i | −0.0663401 | + | 0.0383015i | ||||
\(825\) | −23.9270 | + | 54.4961i | −0.0290024 | + | 0.0660559i | ||||
\(826\) | −470.676 | − | 379.025i | −0.569826 | − | 0.458868i | ||||
\(827\) | 110.278i | 0.133348i | 0.997775 | + | 0.0666738i | \(0.0212387\pi\) | ||||
−0.997775 | + | 0.0666738i | \(0.978761\pi\) | |||||||
\(828\) | −171.680 | − | 53.8296i | −0.207344 | − | 0.0650116i | ||||
\(829\) | −559.990 | + | 969.931i | −0.675501 | + | 1.17000i | 0.300822 | + | 0.953680i | \(0.402739\pi\) |
−0.976322 | + | 0.216321i | \(0.930594\pi\) | |||||||
\(830\) | −116.099 | − | 67.0299i | −0.139879 | − | 0.0807589i | ||||
\(831\) | 60.9545 | + | 552.498i | 0.0733508 | + | 0.664860i | ||||
\(832\) | 180.440 | 0.216875 | ||||||||
\(833\) | 235.870 | − | 739.639i | 0.283157 | − | 0.887922i | ||||
\(834\) | 199.306 | − | 453.939i | 0.238976 | − | 0.544291i | ||||
\(835\) | 280.393 | + | 485.656i | 0.335801 | + | 0.581624i | ||||
\(836\) | −194.306 | − | 112.183i | −0.232423 | − | 0.134190i | ||||
\(837\) | 117.652 | + | 23.1098i | 0.140563 | + | 0.0276103i | ||||
\(838\) | 381.491 | + | 660.761i | 0.455239 | + | 0.788498i | ||||
\(839\) | − | 824.753i | − | 0.983019i | −0.870872 | − | 0.491509i | \(-0.836445\pi\) | ||
0.870872 | − | 0.491509i | \(-0.163555\pi\) | |||||||
\(840\) | 61.2287 | + | 117.860i | 0.0728914 | + | 0.140310i | ||||
\(841\) | 289.061 | 0.343711 | ||||||||
\(842\) | −449.838 | + | 259.714i | −0.534249 | + | 0.308449i | ||||
\(843\) | 1.17090 | + | 1.59424i | 0.00138897 | + | 0.00189115i | ||||
\(844\) | 309.058 | − | 535.304i | 0.366182 | − | 0.634246i | ||||
\(845\) | −657.878 | + | 379.826i | −0.778554 | + | 0.449498i | ||||
\(846\) | −640.428 | − | 696.669i | −0.757007 | − | 0.823486i | ||||
\(847\) | −113.274 | + | 728.035i | −0.133736 | + | 0.859545i | ||||
\(848\) | 289.636i | 0.341552i | ||||||||
\(849\) | 110.752 | + | 1003.87i | 0.130450 | + | 1.18241i | ||||
\(850\) | −56.0157 | + | 97.0220i | −0.0659008 | + | 0.114144i | ||||
\(851\) | 193.318 | + | 111.612i | 0.227165 | + | 0.131154i | ||||
\(852\) | 534.990 | − | 59.0229i | 0.627922 | − | 0.0692757i | ||||
\(853\) | −184.467 | −0.216257 | −0.108128 | − | 0.994137i | \(-0.534486\pi\) | ||||
−0.108128 | + | 0.994137i | \(0.534486\pi\) | |||||||
\(854\) | −110.837 | − | 286.402i | −0.129785 | − | 0.335365i | ||||
\(855\) | 418.885 | − | 385.069i | 0.489924 | − | 0.450373i | ||||
\(856\) | 75.9322 | + | 131.518i | 0.0887059 | + | 0.153643i | ||||
\(857\) | 157.934 | + | 91.1832i | 0.184287 | + | 0.106398i | 0.589305 | − | 0.807910i | \(-0.299402\pi\) |
−0.405018 | + | 0.914309i | \(0.632735\pi\) | |||||||
\(858\) | 306.022 | − | 224.760i | 0.356668 | − | 0.261958i | ||||
\(859\) | 246.183 | + | 426.402i | 0.286593 | + | 0.496393i | 0.972994 | − | 0.230830i | \(-0.0741441\pi\) |
−0.686402 | + | 0.727223i | \(0.740811\pi\) | |||||||
\(860\) | − | 148.273i | − | 0.172410i | ||||||
\(861\) | −34.5555 | + | 776.526i | −0.0401342 | + | 0.901888i | ||||
\(862\) | 14.4086 | 0.0167153 | ||||||||
\(863\) | 1219.53 | − | 704.098i | 1.41313 | − | 0.815872i | 0.417450 | − | 0.908700i | \(-0.362924\pi\) |
0.995682 | + | 0.0928280i | \(0.0295907\pi\) | |||||||
\(864\) | 29.4385 | − | 149.871i | 0.0340724 | − | 0.173462i | ||||
\(865\) | 171.987 | − | 297.890i | 0.198829 | − | 0.344381i | ||||
\(866\) | 869.093 | − | 501.771i | 1.00357 | − | 0.579413i | ||||
\(867\) | 104.325 | + | 45.8049i | 0.120329 | + | 0.0528315i | ||||
\(868\) | −9.55803 | + | 61.4312i | −0.0110116 | + | 0.0707732i | ||||
\(869\) | − | 356.382i | − | 0.410105i | ||||||
\(870\) | 221.534 | − | 24.4408i | 0.254636 | − | 0.0280928i | ||||
\(871\) | −20.1027 | + | 34.8189i | −0.0230801 | + | 0.0399758i | ||||
\(872\) | 59.3692 | + | 34.2768i | 0.0680839 | + | 0.0393083i | ||||
\(873\) | −438.058 | + | 1397.11i | −0.501785 | + | 1.60036i | ||||
\(874\) | −399.667 | −0.457285 | ||||||||
\(875\) | 49.0860 | − | 60.9554i | 0.0560983 | − | 0.0696633i | ||||
\(876\) | −81.7789 | − | 35.9057i | −0.0933549 | − | 0.0409883i | ||||
\(877\) | 373.148 | + | 646.311i | 0.425482 | + | 0.736957i | 0.996465 | − | 0.0840049i | \(-0.0267711\pi\) |
−0.570983 | + | 0.820962i | \(0.693438\pi\) | |||||||
\(878\) | −410.198 | − | 236.828i | −0.467196 | − | 0.269736i | ||||
\(879\) | −841.101 | − | 1145.20i | −0.956884 | − | 1.30284i | ||||
\(880\) | 17.7447 | + | 30.7347i | 0.0201644 | + | 0.0349258i | ||||
\(881\) | − | 460.190i | − | 0.522350i | −0.965291 | − | 0.261175i | \(-0.915890\pi\) | ||
0.965291 | − | 0.261175i | \(-0.0841100\pi\) | |||||||
\(882\) | 565.676 | − | 262.626i | 0.641356 | − | 0.297762i | ||||
\(883\) | 1254.38 | 1.42059 | 0.710295 | − | 0.703904i | \(-0.248561\pi\) | ||||
0.710295 | + | 0.703904i | \(0.248561\pi\) | |||||||
\(884\) | 618.953 | − | 357.353i | 0.700173 | − | 0.404245i | ||||
\(885\) | 330.048 | − | 242.406i | 0.372935 | − | 0.273905i | ||||
\(886\) | −60.8477 | + | 105.391i | −0.0686768 | + | 0.118952i | ||||
\(887\) | 1061.49 | − | 612.851i | 1.19672 | − | 0.690926i | 0.236896 | − | 0.971535i | \(-0.423870\pi\) |
0.959822 | + | 0.280609i | \(0.0905365\pi\) | |||||||
\(888\) | −76.1798 | + | 173.507i | −0.0857881 | + | 0.195391i | ||||
\(889\) | 49.7270 | + | 40.0440i | 0.0559358 | + | 0.0450439i | ||||
\(890\) | 463.015i | 0.520241i | ||||||||
\(891\) | −136.756 | − | 290.847i | −0.153486 | − | 0.326428i | ||||
\(892\) | −142.851 | + | 247.424i | −0.160146 | + | 0.277382i | ||||
\(893\) | −1820.44 | − | 1051.03i | −2.03857 | − | 1.17697i | ||||
\(894\) | −115.317 | − | 1045.25i | −0.128990 | − | 1.16918i | ||||
\(895\) | 155.817 | 0.174097 | ||||||||
\(896\) | 78.2544 | + | 12.1756i | 0.0873375 | + | 0.0135888i | ||||
\(897\) | 271.906 | − | 619.292i | 0.303128 | − | 0.690404i | ||||
\(898\) | −172.190 | − | 298.242i | −0.191748 | − | 0.332118i | ||||
\(899\) | 90.3506 | + | 52.1640i | 0.100501 | + | 0.0580244i | ||||
\(900\) | −87.8354 | + | 19.6197i | −0.0975949 | + | 0.0217997i | ||||
\(901\) | 573.611 | + | 993.523i | 0.636638 | + | 1.10269i | ||||
\(902\) | 207.699i | 0.230265i | ||||||||
\(903\) | −695.562 | − | 30.9526i | −0.770279 | − | 0.0342776i | ||||
\(904\) | 296.436 | 0.327916 | ||||||||
\(905\) | −304.696 | + | 175.916i | −0.336681 | + | 0.194383i | ||||
\(906\) | 447.453 | + | 609.229i | 0.493878 | + | 0.672439i | ||||
\(907\) | 211.585 | − | 366.476i | 0.233280 | − | 0.404052i | −0.725492 | − | 0.688231i | \(-0.758388\pi\) |
0.958771 | + | 0.284179i | \(0.0917209\pi\) | |||||||
\(908\) | 503.971 | − | 290.968i | 0.555034 | − | 0.320449i | ||||
\(909\) | −1282.75 | + | 1179.19i | −1.41116 | + | 1.29724i | ||||
\(910\) | −465.624 | + | 180.195i | −0.511675 | + | 0.198017i | ||||
\(911\) | − | 1111.02i | − | 1.21956i | −0.792569 | − | 0.609782i | \(-0.791257\pi\) | ||
0.792569 | − | 0.609782i | \(-0.208743\pi\) | |||||||
\(912\) | −37.2050 | − | 337.230i | −0.0407949 | − | 0.369770i | ||||
\(913\) | −84.1050 | + | 145.674i | −0.0921194 | + | 0.159555i | ||||
\(914\) | −335.767 | − | 193.855i | −0.367360 | − | 0.212095i | ||||
\(915\) | 206.846 | − | 22.8203i | 0.226061 | − | 0.0249402i | ||||
\(916\) | 569.188 | 0.621384 | ||||||||
\(917\) | −1569.83 | − | 244.248i | −1.71191 | − | 0.266356i | ||||
\(918\) | −195.832 | − | 572.397i | −0.213324 | − | 0.623526i | ||||
\(919\) | −671.478 | − | 1163.03i | −0.730661 | − | 1.26554i | −0.956601 | − | 0.291401i | \(-0.905879\pi\) |
0.225940 | − | 0.974141i | \(-0.427455\pi\) | |||||||
\(920\) | 54.7484 | + | 31.6090i | 0.0595092 | + | 0.0343576i | ||||
\(921\) | −290.907 | + | 213.659i | −0.315860 | + | 0.231986i | ||||
\(922\) | −327.163 | − | 566.662i | −0.354840 | − | 0.614601i | ||||
\(923\) | 2023.32i | 2.19211i | ||||||||
\(924\) | 147.884 | − | 76.8260i | 0.160047 | − | 0.0831451i | ||||
\(925\) | 111.661 | 0.120714 | ||||||||
\(926\) | −529.048 | + | 305.446i | −0.571326 | + | 0.329855i | ||||
\(927\) | −196.019 | + | 43.7846i | −0.211455 | + | 0.0472325i | ||||
\(928\) | 66.4493 | − | 115.094i | 0.0716049 | − | 0.124023i | ||||
\(929\) | −246.782 | + | 142.480i | −0.265642 | + | 0.153369i | −0.626906 | − | 0.779095i | \(-0.715679\pi\) |
0.361263 | + | 0.932464i | \(0.382346\pi\) | |||||||
\(930\) | −38.5742 | − | 16.9363i | −0.0414777 | − | 0.0182111i | ||||
\(931\) | 1024.46 | − | 932.602i | 1.10039 | − | 1.00172i | ||||
\(932\) | − | 289.783i | − | 0.310926i | ||||||
\(933\) | 236.885 | − | 26.1344i | 0.253896 | − | 0.0280112i | ||||
\(934\) | −180.126 | + | 311.987i | −0.192854 | + | 0.334033i | ||||
\(935\) | 121.737 | + | 70.2850i | 0.130200 | + | 0.0751712i | ||||
\(936\) | 547.857 | + | 171.778i | 0.585317 | + | 0.183524i | ||||
\(937\) | −930.931 | −0.993523 | −0.496761 | − | 0.867887i | \(-0.665478\pi\) | ||||
−0.496761 | + | 0.867887i | \(0.665478\pi\) | |||||||
\(938\) | −11.0678 | + | 13.7441i | −0.0117993 | + | 0.0146525i | ||||
\(939\) | 1432.45 | + | 628.930i | 1.52551 | + | 0.669787i | ||||
\(940\) | 166.249 | + | 287.952i | 0.176861 | + | 0.306332i | ||||
\(941\) | 1059.13 | + | 611.492i | 1.12554 | + | 0.649832i | 0.942810 | − | 0.333331i | \(-0.108173\pi\) |
0.182732 | + | 0.983163i | \(0.441506\pi\) | |||||||
\(942\) | 604.335 | + | 822.831i | 0.641545 | + | 0.873494i | ||||
\(943\) | 184.989 | + | 320.411i | 0.196171 | + | 0.339779i | ||||
\(944\) | − | 244.180i | − | 0.258665i | ||||||
\(945\) | 73.7021 | + | 416.141i | 0.0779916 | + | 0.440360i | ||||
\(946\) | −186.043 | −0.196663 | ||||||||
\(947\) | 362.242 | − | 209.141i | 0.382515 | − | 0.220845i | −0.296397 | − | 0.955065i | \(-0.595785\pi\) |
0.678912 | + | 0.734220i | \(0.262452\pi\) | |||||||
\(948\) | 434.344 | − | 319.007i | 0.458169 | − | 0.336505i | ||||
\(949\) | 167.873 | − | 290.765i | 0.176895 | − | 0.306391i | ||||
\(950\) | −173.136 | + | 99.9602i | −0.182249 | + | 0.105221i | ||||
\(951\) | −54.7264 | + | 124.645i | −0.0575462 | + | 0.131067i | ||||
\(952\) | 292.545 | − | 113.214i | 0.307295 | − | 0.118922i | ||||
\(953\) | − | 136.702i | − | 0.143444i | −0.997425 | − | 0.0717219i | \(-0.977151\pi\) | ||
0.997425 | − | 0.0717219i | \(-0.0228494\pi\) | |||||||
\(954\) | −275.732 | + | 879.402i | −0.289028 | + | 0.921805i | ||||
\(955\) | 334.137 | − | 578.742i | 0.349881 | − | 0.606012i | ||||
\(956\) | 85.9794 | + | 49.6402i | 0.0899366 | + | 0.0519249i | ||||
\(957\) | −30.6668 | − | 277.967i | −0.0320447 | − | 0.290456i | ||||
\(958\) | −647.081 | −0.675450 | ||||||||
\(959\) | −248.178 | − | 641.291i | −0.258788 | − | 0.668708i | ||||
\(960\) | −21.5745 | + | 49.1380i | −0.0224734 | + | 0.0511854i | ||||
\(961\) | 470.640 | + | 815.172i | 0.489740 | + | 0.848254i | ||||
\(962\) | −616.905 | − | 356.170i | −0.641273 | − | 0.370239i | ||||
\(963\) | 105.343 | + | 471.608i | 0.109390 | + | 0.489728i | ||||
\(964\) | −118.769 | − | 205.715i | −0.123205 | − | 0.213397i | ||||
\(965\) | − | 228.642i | − | 0.236935i | ||||||
\(966\) | 159.710 | − | 250.232i | 0.165331 | − | 0.259039i | ||||
\(967\) | −1058.67 | −1.09480 | −0.547398 | − | 0.836873i | \(-0.684382\pi\) | ||||
−0.547398 | + | 0.836873i | \(0.684382\pi\) | |||||||
\(968\) | −257.824 | + | 148.855i | −0.266347 | + | 0.153776i | ||||
\(969\) | −795.491 | − | 1083.10i | −0.820940 | − | 1.11775i | ||||
\(970\) | 257.230 | − | 445.535i | 0.265185 | − | 0.459315i | ||||
\(971\) | −307.645 | + | 177.619i | −0.316833 | + | 0.182924i | −0.649980 | − | 0.759951i | \(-0.725223\pi\) |
0.333147 | + | 0.942875i | \(0.391889\pi\) | |||||||
\(972\) | 232.059 | − | 427.018i | 0.238744 | − | 0.439319i | ||||
\(973\) | 637.085 | + | 513.030i | 0.654763 | + | 0.527266i | ||||
\(974\) | 1233.17i | 1.26609i | ||||||||
\(975\) | −37.1006 | − | 336.284i | −0.0380519 | − | 0.344907i | ||||
\(976\) | 62.0437 | − | 107.463i | 0.0635694 | − | 0.110105i | ||||
\(977\) | 1376.50 | + | 794.720i | 1.40890 | + | 0.813429i | 0.995282 | − | 0.0970221i | \(-0.0309318\pi\) |
0.413617 | + | 0.910451i | \(0.364265\pi\) | |||||||
\(978\) | 425.539 | − | 46.9477i | 0.435112 | − | 0.0480038i | ||||
\(979\) | 580.962 | 0.593424 | ||||||||
\(980\) | −214.094 | + | 46.7294i | −0.218464 | + | 0.0476831i | ||||
\(981\) | 147.627 | + | 160.592i | 0.150486 | + | 0.163702i | ||||
\(982\) | 30.8586 | + | 53.4486i | 0.0314242 | + | 0.0544283i | ||||
\(983\) | 426.388 | + | 246.175i | 0.433762 | + | 0.250433i | 0.700948 | − | 0.713212i | \(-0.252761\pi\) |
−0.267186 | + | 0.963645i | \(0.586094\pi\) | |||||||
\(984\) | −253.135 | + | 185.917i | −0.257251 | + | 0.188940i | ||||
\(985\) | 228.339 | + | 395.495i | 0.231816 | + | 0.401518i | ||||
\(986\) | − | 526.399i | − | 0.533874i | ||||||
\(987\) | 1385.52 | − | 719.780i | 1.40377 | − | 0.729260i | ||||
\(988\) | 1275.39 | 1.29088 | ||||||||
\(989\) | −287.004 | + | 165.702i | −0.290196 | + | 0.167545i | ||||
\(990\) | 24.6176 | + | 110.210i | 0.0248663 | + | 0.111324i | ||||
\(991\) | −449.306 | + | 778.220i | −0.453386 | + | 0.785288i | −0.998594 | − | 0.0530133i | \(-0.983117\pi\) |
0.545208 | + | 0.838301i | \(0.316451\pi\) | |||||||
\(992\) | −21.7551 | + | 12.5603i | −0.0219305 | + | 0.0126616i | ||||
\(993\) | 530.320 | + | 232.842i | 0.534059 | + | 0.234483i | ||||
\(994\) | −136.527 | + | 877.486i | −0.137352 | + | 0.882783i | ||||
\(995\) | − | 475.707i | − | 0.478097i | ||||||
\(996\) | −252.827 | + | 27.8932i | −0.253842 | + | 0.0280052i | ||||
\(997\) | 333.890 | − | 578.314i | 0.334894 | − | 0.580054i | −0.648570 | − | 0.761155i | \(-0.724633\pi\) |
0.983465 | + | 0.181101i | \(0.0579661\pi\) | |||||||
\(998\) | 550.691 | + | 317.941i | 0.551794 | + | 0.318579i | ||||
\(999\) | −396.478 | + | 454.285i | −0.396875 | + | 0.454740i |
(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 | 210.3.s.a.11.13 | yes | 40 | |
3.2 | odd | 2 | inner | 210.3.s.a.11.5 | ✓ | 40 | |
7.2 | even | 3 | inner | 210.3.s.a.191.5 | yes | 40 | |
21.2 | odd | 6 | inner | 210.3.s.a.191.13 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.s.a.11.5 | ✓ | 40 | 3.2 | odd | 2 | inner | |
210.3.s.a.11.13 | yes | 40 | 1.1 | even | 1 | trivial | |
210.3.s.a.191.5 | yes | 40 | 7.2 | even | 3 | inner | |
210.3.s.a.191.13 | yes | 40 | 21.2 | odd | 6 | inner |