Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(23,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.x (of order \(12\), 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: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 53.7 | ||
Character | \(\chi\) | \(=\) | 210.53 |
Dual form | 210.2.x.a.107.7 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | + | 0.965926i | −0.183013 | + | 0.683013i | ||||
\(3\) | 1.38549 | + | 1.03943i | 0.799914 | + | 0.600115i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −1.30445 | + | 1.81616i | −0.583366 | + | 0.812210i | ||||
\(6\) | −1.36260 | + | 1.06926i | −0.556281 | + | 0.436522i | ||||
\(7\) | −2.54122 | + | 0.736347i | −0.960490 | + | 0.278313i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 0.839170 | + | 2.88024i | 0.279723 | + | 0.960081i | ||||
\(10\) | −1.41666 | − | 1.73005i | −0.447986 | − | 0.547091i | ||||
\(11\) | −1.83587 | − | 1.05994i | −0.553535 | − | 0.319583i | 0.197012 | − | 0.980401i | \(-0.436876\pi\) |
−0.750546 | + | 0.660818i | \(0.770210\pi\) | |||||||
\(12\) | −0.680155 | − | 1.59292i | −0.196344 | − | 0.459836i | ||||
\(13\) | 3.28206 | + | 3.28206i | 0.910280 | + | 0.910280i | 0.996294 | − | 0.0860135i | \(-0.0274128\pi\) |
−0.0860135 | + | 0.996294i | \(0.527413\pi\) | |||||||
\(14\) | −0.0535403 | − | 2.64521i | −0.0143092 | − | 0.706962i | ||||
\(15\) | −3.69506 | + | 1.16039i | −0.954061 | + | 0.299611i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 1.40048 | − | 0.375258i | 0.339667 | − | 0.0910134i | −0.0849537 | − | 0.996385i | \(-0.527074\pi\) |
0.424620 | + | 0.905371i | \(0.360408\pi\) | |||||||
\(18\) | −2.99929 | + | 0.0651145i | −0.706940 | + | 0.0153476i | ||||
\(19\) | 4.72549 | − | 2.72826i | 1.08410 | − | 0.625906i | 0.152102 | − | 0.988365i | \(-0.451396\pi\) |
0.932000 | + | 0.362458i | \(0.118063\pi\) | |||||||
\(20\) | 2.03776 | − | 0.920615i | 0.455657 | − | 0.205856i | ||||
\(21\) | −4.28622 | − | 1.62122i | −0.935329 | − | 0.353779i | ||||
\(22\) | 1.49898 | − | 1.49898i | 0.319583 | − | 0.319583i | ||||
\(23\) | 5.50010 | + | 1.47375i | 1.14685 | + | 0.307298i | 0.781702 | − | 0.623652i | \(-0.214352\pi\) |
0.365148 | + | 0.930949i | \(0.381018\pi\) | |||||||
\(24\) | 1.71468 | − | 0.244702i | 0.350007 | − | 0.0499496i | ||||
\(25\) | −1.59685 | − | 4.73815i | −0.319369 | − | 0.947630i | ||||
\(26\) | −4.01969 | + | 2.32077i | −0.788326 | + | 0.455140i | ||||
\(27\) | −1.83115 | + | 4.86281i | −0.352405 | + | 0.935848i | ||||
\(28\) | 2.56893 | + | 0.632915i | 0.485483 | + | 0.119610i | ||||
\(29\) | −7.20525 | −1.33798 | −0.668990 | − | 0.743271i | \(-0.733273\pi\) | ||||
−0.668990 | + | 0.743271i | \(0.733273\pi\) | |||||||
\(30\) | −0.164496 | − | 3.86949i | −0.0300327 | − | 0.706469i | ||||
\(31\) | −0.528063 | + | 0.914632i | −0.0948429 | + | 0.164273i | −0.909543 | − | 0.415610i | \(-0.863568\pi\) |
0.814700 | + | 0.579882i | \(0.196902\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | −1.44185 | − | 3.37679i | −0.250993 | − | 0.587824i | ||||
\(34\) | 1.44989i | 0.248653i | ||||||||
\(35\) | 1.97756 | − | 5.57577i | 0.334269 | − | 0.942478i | ||||
\(36\) | 0.713378 | − | 2.91395i | 0.118896 | − | 0.485658i | ||||
\(37\) | 6.22550 | + | 1.66812i | 1.02347 | + | 0.274237i | 0.731246 | − | 0.682114i | \(-0.238939\pi\) |
0.292221 | + | 0.956351i | \(0.405606\pi\) | |||||||
\(38\) | 1.41225 | + | 5.27060i | 0.229098 | + | 0.855004i | ||||
\(39\) | 1.13579 | + | 7.95874i | 0.181872 | + | 1.27442i | ||||
\(40\) | 0.361834 | + | 2.20660i | 0.0572110 | + | 0.348894i | ||||
\(41\) | − | 1.86758i | − | 0.291667i | −0.989309 | − | 0.145833i | \(-0.953414\pi\) | ||
0.989309 | − | 0.145833i | \(-0.0465863\pi\) | |||||||
\(42\) | 2.67533 | − | 3.72057i | 0.412813 | − | 0.574096i | ||||
\(43\) | 1.79293 | + | 1.79293i | 0.273420 | + | 0.273420i | 0.830475 | − | 0.557056i | \(-0.188069\pi\) |
−0.557056 | + | 0.830475i | \(0.688069\pi\) | |||||||
\(44\) | 1.05994 | + | 1.83587i | 0.159792 | + | 0.276767i | ||||
\(45\) | −6.32562 | − | 2.23305i | −0.942968 | − | 0.332884i | ||||
\(46\) | −2.84706 | + | 4.93126i | −0.419776 | + | 0.727074i | ||||
\(47\) | 2.87830 | − | 10.7419i | 0.419843 | − | 1.56687i | −0.355091 | − | 0.934832i | \(-0.615550\pi\) |
0.774934 | − | 0.632042i | \(-0.217783\pi\) | |||||||
\(48\) | −0.207427 | + | 1.71959i | −0.0299396 | + | 0.248201i | ||||
\(49\) | 5.91559 | − | 3.74244i | 0.845084 | − | 0.534634i | ||||
\(50\) | 4.99000 | − | 0.316111i | 0.705692 | − | 0.0447048i | ||||
\(51\) | 2.33041 | + | 0.935787i | 0.326323 | + | 0.131036i | ||||
\(52\) | −1.20132 | − | 4.48338i | −0.166593 | − | 0.621733i | ||||
\(53\) | 1.73562 | + | 6.47741i | 0.238405 | + | 0.889741i | 0.976584 | + | 0.215136i | \(0.0690194\pi\) |
−0.738179 | + | 0.674605i | \(0.764314\pi\) | |||||||
\(54\) | −4.22318 | − | 3.02734i | −0.574701 | − | 0.411969i | ||||
\(55\) | 4.31980 | − | 1.95159i | 0.582482 | − | 0.263152i | ||||
\(56\) | −1.27624 | + | 2.31759i | −0.170544 | + | 0.309701i | ||||
\(57\) | 9.38296 | + | 1.13183i | 1.24280 | + | 0.149915i | ||||
\(58\) | 1.86485 | − | 6.95973i | 0.244867 | − | 0.913858i | ||||
\(59\) | 2.63659 | − | 4.56671i | 0.343255 | − | 0.594535i | −0.641780 | − | 0.766889i | \(-0.721804\pi\) |
0.985035 | + | 0.172354i | \(0.0551372\pi\) | |||||||
\(60\) | 3.78021 | + | 0.842606i | 0.488023 | + | 0.108780i | ||||
\(61\) | 4.11857 | + | 7.13357i | 0.527328 | + | 0.913360i | 0.999493 | + | 0.0318490i | \(0.0101396\pi\) |
−0.472164 | + | 0.881511i | \(0.656527\pi\) | |||||||
\(62\) | −0.746794 | − | 0.746794i | −0.0948429 | − | 0.0948429i | ||||
\(63\) | −4.25337 | − | 6.70141i | −0.535874 | − | 0.844298i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −10.2420 | + | 1.67947i | −1.27036 | + | 0.208312i | ||||
\(66\) | 3.63491 | − | 0.518738i | 0.447426 | − | 0.0638522i | ||||
\(67\) | −2.43944 | − | 9.10412i | −0.298025 | − | 1.11225i | −0.938785 | − | 0.344504i | \(-0.888047\pi\) |
0.640760 | − | 0.767742i | \(-0.278620\pi\) | |||||||
\(68\) | −1.40048 | − | 0.375258i | −0.169833 | − | 0.0455067i | ||||
\(69\) | 6.08848 | + | 7.75883i | 0.732967 | + | 0.934054i | ||||
\(70\) | 4.87395 | + | 3.35329i | 0.582549 | + | 0.400795i | ||||
\(71\) | − | 1.75938i | − | 0.208800i | −0.994535 | − | 0.104400i | \(-0.966708\pi\) | ||
0.994535 | − | 0.104400i | \(-0.0332922\pi\) | |||||||
\(72\) | 2.63002 | + | 1.44326i | 0.309951 | + | 0.170089i | ||||
\(73\) | −1.20699 | + | 0.323412i | −0.141268 | + | 0.0378525i | −0.328760 | − | 0.944414i | \(-0.606631\pi\) |
0.187492 | + | 0.982266i | \(0.439964\pi\) | |||||||
\(74\) | −3.22256 | + | 5.58163i | −0.374615 | + | 0.648852i | ||||
\(75\) | 2.71256 | − | 8.22448i | 0.313220 | − | 0.949681i | ||||
\(76\) | −5.45653 | −0.625906 | ||||||||
\(77\) | 5.44582 | + | 1.34170i | 0.620609 | + | 0.152901i | ||||
\(78\) | −7.98152 | − | 0.962782i | −0.903729 | − | 0.109014i | ||||
\(79\) | −13.8415 | + | 7.99137i | −1.55728 | + | 0.899099i | −0.559770 | + | 0.828648i | \(0.689110\pi\) |
−0.997515 | + | 0.0704506i | \(0.977556\pi\) | |||||||
\(80\) | −2.22506 | − | 0.221605i | −0.248769 | − | 0.0247761i | ||||
\(81\) | −7.59159 | + | 4.83403i | −0.843510 | + | 0.537114i | ||||
\(82\) | 1.80394 | + | 0.483365i | 0.199212 | + | 0.0533787i | ||||
\(83\) | 9.47707 | − | 9.47707i | 1.04024 | − | 1.04024i | 0.0410882 | − | 0.999156i | \(-0.486918\pi\) |
0.999156 | − | 0.0410882i | \(-0.0130825\pi\) | |||||||
\(84\) | 2.90136 | + | 3.54712i | 0.316565 | + | 0.387023i | ||||
\(85\) | −1.14532 | + | 3.03300i | −0.124228 | + | 0.328975i | ||||
\(86\) | −2.19589 | + | 1.26779i | −0.236788 | + | 0.136710i | ||||
\(87\) | −9.98280 | − | 7.48935i | −1.07027 | − | 0.802943i | ||||
\(88\) | −2.04764 | + | 0.548664i | −0.218280 | + | 0.0584878i | ||||
\(89\) | −0.199936 | − | 0.346299i | −0.0211931 | − | 0.0367076i | 0.855234 | − | 0.518242i | \(-0.173413\pi\) |
−0.876427 | + | 0.481534i | \(0.840080\pi\) | |||||||
\(90\) | 3.79416 | − | 5.53212i | 0.399939 | − | 0.583137i | ||||
\(91\) | −10.7572 | − | 5.92370i | −1.12766 | − | 0.620973i | ||||
\(92\) | −4.02635 | − | 4.02635i | −0.419776 | − | 0.419776i | ||||
\(93\) | −1.68232 | + | 0.718330i | −0.174449 | + | 0.0744873i | ||||
\(94\) | 9.63096 | + | 5.56044i | 0.993358 | + | 0.573516i | ||||
\(95\) | −1.20919 | + | 12.1411i | −0.124060 | + | 1.24565i | ||||
\(96\) | −1.60731 | − | 0.645421i | −0.164045 | − | 0.0658730i | ||||
\(97\) | −8.63390 | + | 8.63390i | −0.876640 | + | 0.876640i | −0.993185 | − | 0.116546i | \(-0.962818\pi\) |
0.116546 | + | 0.993185i | \(0.462818\pi\) | |||||||
\(98\) | 2.08385 | + | 6.68263i | 0.210500 | + | 0.675048i | ||||
\(99\) | 1.51227 | − | 6.17721i | 0.151989 | − | 0.620833i | ||||
\(100\) | −0.986167 | + | 4.90178i | −0.0986167 | + | 0.490178i | ||||
\(101\) | −3.82984 | − | 2.21116i | −0.381084 | − | 0.220019i | 0.297206 | − | 0.954813i | \(-0.403945\pi\) |
−0.678290 | + | 0.734795i | \(0.737279\pi\) | |||||||
\(102\) | −1.50705 | + | 2.00880i | −0.149221 | + | 0.198901i | ||||
\(103\) | 2.77123 | − | 10.3424i | 0.273057 | − | 1.01906i | −0.684075 | − | 0.729412i | \(-0.739794\pi\) |
0.957132 | − | 0.289652i | \(-0.0935395\pi\) | |||||||
\(104\) | 4.64154 | 0.455140 | ||||||||
\(105\) | 8.53552 | − | 5.66965i | 0.832981 | − | 0.553301i | ||||
\(106\) | −6.70591 | −0.651335 | ||||||||
\(107\) | −2.76314 | + | 10.3122i | −0.267123 | + | 0.996917i | 0.693815 | + | 0.720153i | \(0.255928\pi\) |
−0.960938 | + | 0.276763i | \(0.910738\pi\) | |||||||
\(108\) | 4.01722 | − | 3.29574i | 0.386558 | − | 0.317133i | ||||
\(109\) | −7.42120 | − | 4.28463i | −0.710822 | − | 0.410393i | 0.100543 | − | 0.994933i | \(-0.467942\pi\) |
−0.811365 | + | 0.584539i | \(0.801275\pi\) | |||||||
\(110\) | 0.767044 | + | 4.67772i | 0.0731348 | + | 0.446003i | ||||
\(111\) | 6.89149 | + | 8.78214i | 0.654111 | + | 0.833564i | ||||
\(112\) | −1.90830 | − | 1.83259i | −0.180318 | − | 0.173163i | ||||
\(113\) | −7.12484 | + | 7.12484i | −0.670249 | + | 0.670249i | −0.957773 | − | 0.287524i | \(-0.907168\pi\) |
0.287524 | + | 0.957773i | \(0.407168\pi\) | |||||||
\(114\) | −3.52176 | + | 8.77030i | −0.329843 | + | 0.821414i | ||||
\(115\) | −9.85113 | + | 8.06662i | −0.918623 | + | 0.752216i | ||||
\(116\) | 6.23993 | + | 3.60262i | 0.579363 | + | 0.334495i | ||||
\(117\) | −6.69893 | + | 12.2073i | −0.619316 | + | 1.12857i | ||||
\(118\) | 3.72870 | + | 3.72870i | 0.343255 | + | 0.343255i | ||||
\(119\) | −3.28261 | + | 1.98485i | −0.300916 | + | 0.181951i | ||||
\(120\) | −1.79229 | + | 3.43332i | −0.163613 | + | 0.313418i | ||||
\(121\) | −3.25306 | − | 5.63447i | −0.295733 | − | 0.512224i | ||||
\(122\) | −7.95646 | + | 2.13193i | −0.720344 | + | 0.193016i | ||||
\(123\) | 1.94122 | − | 2.58751i | 0.175034 | − | 0.233308i | ||||
\(124\) | 0.914632 | − | 0.528063i | 0.0821364 | − | 0.0474215i | ||||
\(125\) | 10.6882 | + | 3.28054i | 0.955984 | + | 0.293420i | ||||
\(126\) | 7.57391 | − | 2.37399i | 0.674738 | − | 0.211492i | ||||
\(127\) | −11.2870 | + | 11.2870i | −1.00156 | + | 1.00156i | −0.00155629 | + | 0.999999i | \(0.500495\pi\) |
−0.999999 | + | 0.00155629i | \(0.999505\pi\) | |||||||
\(128\) | 0.965926 | + | 0.258819i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | 0.620464 | + | 4.34772i | 0.0546288 | + | 0.382795i | ||||
\(130\) | 1.02859 | − | 10.3277i | 0.0902130 | − | 0.905799i | ||||
\(131\) | 5.01434 | − | 2.89503i | 0.438105 | − | 0.252940i | −0.264689 | − | 0.964334i | \(-0.585269\pi\) |
0.702793 | + | 0.711394i | \(0.251936\pi\) | |||||||
\(132\) | −0.439721 | + | 3.64531i | −0.0382728 | + | 0.317283i | ||||
\(133\) | −9.99956 | + | 10.4127i | −0.867072 | + | 0.902897i | ||||
\(134\) | 9.42528 | 0.814220 | ||||||||
\(135\) | −6.44299 | − | 9.66892i | −0.554524 | − | 0.832168i | ||||
\(136\) | 0.724943 | − | 1.25564i | 0.0621633 | − | 0.107670i | ||||
\(137\) | 10.8253 | − | 2.90062i | 0.924864 | − | 0.247816i | 0.235201 | − | 0.971947i | \(-0.424425\pi\) |
0.689663 | + | 0.724130i | \(0.257759\pi\) | |||||||
\(138\) | −9.07027 | + | 3.87289i | −0.772113 | + | 0.329682i | ||||
\(139\) | − | 20.1333i | − | 1.70768i | −0.520535 | − | 0.853841i | \(-0.674267\pi\) | ||
0.520535 | − | 0.853841i | \(-0.325733\pi\) | |||||||
\(140\) | −4.50050 | + | 3.83998i | −0.380362 | + | 0.324538i | ||||
\(141\) | 15.1534 | − | 11.8911i | 1.27614 | − | 1.00141i | ||||
\(142\) | 1.69943 | + | 0.455361i | 0.142613 | + | 0.0382131i | ||||
\(143\) | −2.54665 | − | 9.50422i | −0.212961 | − | 0.794782i | ||||
\(144\) | −2.07478 | + | 2.16686i | −0.172898 | + | 0.180572i | ||||
\(145\) | 9.39885 | − | 13.0859i | 0.780532 | − | 1.08672i | ||||
\(146\) | − | 1.24957i | − | 0.103415i | ||||||
\(147\) | 12.0860 | + | 0.963730i | 0.996836 | + | 0.0794871i | ||||
\(148\) | −4.55738 | − | 4.55738i | −0.374615 | − | 0.374615i | ||||
\(149\) | −5.90510 | − | 10.2279i | −0.483765 | − | 0.837905i | 0.516061 | − | 0.856552i | \(-0.327398\pi\) |
−0.999826 | + | 0.0186464i | \(0.994064\pi\) | |||||||
\(150\) | 7.24217 | + | 4.74879i | 0.591321 | + | 0.387737i | ||||
\(151\) | 4.33354 | − | 7.50591i | 0.352658 | − | 0.610822i | −0.634056 | − | 0.773287i | \(-0.718611\pi\) |
0.986714 | + | 0.162465i | \(0.0519445\pi\) | |||||||
\(152\) | 1.41225 | − | 5.27060i | 0.114549 | − | 0.427502i | ||||
\(153\) | 2.25608 | + | 3.71882i | 0.182393 | + | 0.300649i | ||||
\(154\) | −2.70547 | + | 4.91300i | −0.218013 | + | 0.395901i | ||||
\(155\) | −0.972285 | − | 2.15213i | −0.0780958 | − | 0.172863i | ||||
\(156\) | 2.99575 | − | 7.46037i | 0.239852 | − | 0.597308i | ||||
\(157\) | 4.51828 | + | 16.8625i | 0.360598 | + | 1.34577i | 0.873291 | + | 0.487198i | \(0.161981\pi\) |
−0.512693 | + | 0.858572i | \(0.671352\pi\) | |||||||
\(158\) | −4.13664 | − | 15.4381i | −0.329093 | − | 1.22819i | ||||
\(159\) | −4.32813 | + | 10.7784i | −0.343243 | + | 0.854786i | ||||
\(160\) | 0.789941 | − | 2.09189i | 0.0624504 | − | 0.165378i | ||||
\(161\) | −15.0621 | + | 0.304865i | −1.18706 | + | 0.0240267i | ||||
\(162\) | −2.70446 | − | 8.58405i | −0.212483 | − | 0.674427i | ||||
\(163\) | 1.34945 | − | 5.03620i | 0.105697 | − | 0.394466i | −0.892726 | − | 0.450599i | \(-0.851210\pi\) |
0.998423 | + | 0.0561330i | \(0.0178771\pi\) | |||||||
\(164\) | −0.933789 | + | 1.61737i | −0.0729167 | + | 0.126295i | ||||
\(165\) | 8.01359 | + | 1.78622i | 0.623857 | + | 0.139057i | ||||
\(166\) | 6.70130 | + | 11.6070i | 0.520122 | + | 0.900877i | ||||
\(167\) | −5.99458 | − | 5.99458i | −0.463874 | − | 0.463874i | 0.436049 | − | 0.899923i | \(-0.356377\pi\) |
−0.899923 | + | 0.436049i | \(0.856377\pi\) | |||||||
\(168\) | −4.17719 | + | 1.88444i | −0.322277 | + | 0.145388i | ||||
\(169\) | 8.54387i | 0.657221i | ||||||||
\(170\) | −2.63322 | − | 1.89130i | −0.201959 | − | 0.145056i | ||||
\(171\) | 11.8235 | + | 11.3211i | 0.904169 | + | 0.865744i | ||||
\(172\) | −0.656259 | − | 2.44919i | −0.0500393 | − | 0.186749i | ||||
\(173\) | 4.84235 | + | 1.29750i | 0.368157 | + | 0.0986474i | 0.438154 | − | 0.898900i | \(-0.355632\pi\) |
−0.0699972 | + | 0.997547i | \(0.522299\pi\) | |||||||
\(174\) | 9.81790 | − | 7.70426i | 0.744293 | − | 0.584059i | ||||
\(175\) | 7.54686 | + | 10.8648i | 0.570489 | + | 0.821305i | ||||
\(176\) | − | 2.11988i | − | 0.159792i | ||||||
\(177\) | 8.39975 | − | 3.58658i | 0.631364 | − | 0.269584i | ||||
\(178\) | 0.386246 | − | 0.103494i | 0.0289504 | − | 0.00775723i | ||||
\(179\) | 4.04588 | − | 7.00767i | 0.302403 | − | 0.523778i | −0.674277 | − | 0.738479i | \(-0.735544\pi\) |
0.976680 | + | 0.214701i | \(0.0688777\pi\) | |||||||
\(180\) | 4.36162 | + | 5.09669i | 0.325096 | + | 0.379885i | ||||
\(181\) | 10.6946 | 0.794924 | 0.397462 | − | 0.917619i | \(-0.369891\pi\) | ||||
0.397462 | + | 0.917619i | \(0.369891\pi\) | |||||||
\(182\) | 8.50602 | − | 8.85747i | 0.630508 | − | 0.656559i | ||||
\(183\) | −1.70861 | + | 14.1645i | −0.126304 | + | 1.04707i | ||||
\(184\) | 4.93126 | − | 2.84706i | 0.363537 | − | 0.209888i | ||||
\(185\) | −11.1504 | + | 9.13052i | −0.819793 | + | 0.671289i | ||||
\(186\) | −0.258436 | − | 1.81092i | −0.0189495 | − | 0.132783i | ||||
\(187\) | −2.96885 | − | 0.795501i | −0.217104 | − | 0.0581728i | ||||
\(188\) | −7.86365 | + | 7.86365i | −0.573516 | + | 0.573516i | ||||
\(189\) | 1.07264 | − | 13.7058i | 0.0780228 | − | 0.996952i | ||||
\(190\) | −11.4144 | − | 4.31034i | −0.828090 | − | 0.312705i | ||||
\(191\) | 0.647671 | − | 0.373933i | 0.0468638 | − | 0.0270569i | −0.476385 | − | 0.879237i | \(-0.658053\pi\) |
0.523249 | + | 0.852180i | \(0.324720\pi\) | |||||||
\(192\) | 1.03943 | − | 1.38549i | 0.0750144 | − | 0.0999892i | ||||
\(193\) | −8.94254 | + | 2.39615i | −0.643698 | + | 0.172478i | −0.565878 | − | 0.824489i | \(-0.691463\pi\) |
−0.0778200 | + | 0.996967i | \(0.524796\pi\) | |||||||
\(194\) | −6.10509 | − | 10.5743i | −0.438320 | − | 0.759192i | ||||
\(195\) | −15.9359 | − | 8.31897i | −1.14119 | − | 0.595734i | ||||
\(196\) | −6.99427 | + | 0.283250i | −0.499590 | + | 0.0202322i | ||||
\(197\) | 2.71376 | + | 2.71376i | 0.193348 | + | 0.193348i | 0.797141 | − | 0.603793i | \(-0.206345\pi\) |
−0.603793 | + | 0.797141i | \(0.706345\pi\) | |||||||
\(198\) | 5.57532 | + | 3.05952i | 0.396221 | + | 0.217431i | ||||
\(199\) | 4.85488 | + | 2.80297i | 0.344153 | + | 0.198697i | 0.662107 | − | 0.749409i | \(-0.269662\pi\) |
−0.317954 | + | 0.948106i | \(0.602996\pi\) | |||||||
\(200\) | −4.47952 | − | 2.22124i | −0.316750 | − | 0.157065i | ||||
\(201\) | 6.08327 | − | 15.1493i | 0.429081 | − | 1.06855i | ||||
\(202\) | 3.12705 | − | 3.12705i | 0.220019 | − | 0.220019i | ||||
\(203\) | 18.3101 | − | 5.30556i | 1.28512 | − | 0.372377i | ||||
\(204\) | −1.55030 | − | 1.97562i | −0.108543 | − | 0.138321i | ||||
\(205\) | 3.39181 | + | 2.43615i | 0.236895 | + | 0.170148i | ||||
\(206\) | 9.27271 | + | 5.35360i | 0.646060 | + | 0.373003i | ||||
\(207\) | 0.370770 | + | 17.0783i | 0.0257703 | + | 1.18703i | ||||
\(208\) | −1.20132 | + | 4.48338i | −0.0832964 | + | 0.310867i | ||||
\(209\) | −11.5672 | −0.800117 | ||||||||
\(210\) | 3.26730 | + | 9.71209i | 0.225465 | + | 0.670198i | ||||
\(211\) | 14.8448 | 1.02196 | 0.510978 | − | 0.859594i | \(-0.329283\pi\) | ||||
0.510978 | + | 0.859594i | \(0.329283\pi\) | |||||||
\(212\) | 1.73562 | − | 6.47741i | 0.119203 | − | 0.444870i | ||||
\(213\) | 1.82875 | − | 2.43761i | 0.125304 | − | 0.167022i | ||||
\(214\) | −9.24565 | − | 5.33798i | −0.632020 | − | 0.364897i | ||||
\(215\) | −5.59503 | + | 0.917463i | −0.381578 | + | 0.0625705i | ||||
\(216\) | 2.14371 | + | 4.73334i | 0.145861 | + | 0.322063i | ||||
\(217\) | 0.668438 | − | 2.71312i | 0.0453765 | − | 0.184178i | ||||
\(218\) | 6.05939 | − | 6.05939i | 0.410393 | − | 0.410393i | ||||
\(219\) | −2.00844 | − | 0.806498i | −0.135718 | − | 0.0544981i | ||||
\(220\) | −4.71685 | − | 0.469774i | −0.318010 | − | 0.0316722i | ||||
\(221\) | 5.82809 | + | 3.36485i | 0.392040 | + | 0.226344i | ||||
\(222\) | −10.2665 | + | 4.38368i | −0.689045 | + | 0.294213i | ||||
\(223\) | 5.02812 | + | 5.02812i | 0.336708 | + | 0.336708i | 0.855127 | − | 0.518419i | \(-0.173479\pi\) |
−0.518419 | + | 0.855127i | \(0.673479\pi\) | |||||||
\(224\) | 2.26405 | − | 1.36897i | 0.151273 | − | 0.0914683i | ||||
\(225\) | 12.3070 | − | 8.57542i | 0.820467 | − | 0.571694i | ||||
\(226\) | −5.03803 | − | 8.72612i | −0.335124 | − | 0.580453i | ||||
\(227\) | −11.2410 | + | 3.01201i | −0.746089 | + | 0.199914i | −0.611783 | − | 0.791026i | \(-0.709547\pi\) |
−0.134307 | + | 0.990940i | \(0.542881\pi\) | |||||||
\(228\) | −7.55997 | − | 5.67168i | −0.500671 | − | 0.375616i | ||||
\(229\) | 3.58186 | − | 2.06799i | 0.236696 | − | 0.136657i | −0.376961 | − | 0.926229i | \(-0.623031\pi\) |
0.613657 | + | 0.789572i | \(0.289698\pi\) | |||||||
\(230\) | −5.24209 | − | 11.6033i | −0.345653 | − | 0.765096i | ||||
\(231\) | 6.15053 | + | 7.51947i | 0.404675 | + | 0.494745i | ||||
\(232\) | −5.09488 | + | 5.09488i | −0.334495 | + | 0.334495i | ||||
\(233\) | 21.9305 | + | 5.87626i | 1.43671 | + | 0.384967i | 0.891382 | − | 0.453253i | \(-0.149737\pi\) |
0.545333 | + | 0.838220i | \(0.316403\pi\) | |||||||
\(234\) | −10.0576 | − | 9.63016i | −0.657485 | − | 0.629543i | ||||
\(235\) | 15.7545 | + | 19.2397i | 1.02771 | + | 1.25506i | ||||
\(236\) | −4.56671 | + | 2.63659i | −0.297267 | + | 0.171627i | ||||
\(237\) | −27.4837 | − | 3.31526i | −1.78526 | − | 0.215349i | ||||
\(238\) | −1.06762 | − | 3.68448i | −0.0692034 | − | 0.238829i | ||||
\(239\) | −10.6159 | −0.686682 | −0.343341 | − | 0.939211i | \(-0.611559\pi\) | ||||
−0.343341 | + | 0.939211i | \(0.611559\pi\) | |||||||
\(240\) | −2.85246 | − | 2.61983i | −0.184125 | − | 0.169109i | ||||
\(241\) | 10.0635 | − | 17.4304i | 0.648245 | − | 1.12279i | −0.335297 | − | 0.942112i | \(-0.608837\pi\) |
0.983542 | − | 0.180680i | \(-0.0578300\pi\) | |||||||
\(242\) | 6.28443 | − | 1.68391i | 0.403979 | − | 0.108246i | ||||
\(243\) | −15.5427 | − | 1.19343i | −0.997065 | − | 0.0765583i | ||||
\(244\) | − | 8.23713i | − | 0.527328i | ||||||
\(245\) | −0.919713 | + | 15.6254i | −0.0587583 | + | 0.998272i | ||||
\(246\) | 1.99692 | + | 2.54477i | 0.127319 | + | 0.162249i | ||||
\(247\) | 24.4637 | + | 6.55502i | 1.55659 | + | 0.417086i | ||||
\(248\) | 0.273346 | + | 1.02014i | 0.0173575 | + | 0.0647789i | ||||
\(249\) | 22.9811 | − | 3.27964i | 1.45637 | − | 0.207839i | ||||
\(250\) | −5.93507 | + | 9.47496i | −0.375367 | + | 0.599249i | ||||
\(251\) | 17.8395i | 1.12602i | 0.826450 | + | 0.563010i | \(0.190357\pi\) | ||||
−0.826450 | + | 0.563010i | \(0.809643\pi\) | |||||||
\(252\) | 0.332825 | + | 7.93027i | 0.0209660 | + | 0.499560i | ||||
\(253\) | −8.53537 | − | 8.53537i | −0.536614 | − | 0.536614i | ||||
\(254\) | −7.98108 | − | 13.8236i | −0.500778 | − | 0.867372i | ||||
\(255\) | −4.73943 | + | 3.01171i | −0.296794 | + | 0.188600i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −0.258140 | + | 0.963390i | −0.0161023 | + | 0.0600946i | −0.973510 | − | 0.228646i | \(-0.926570\pi\) |
0.957407 | + | 0.288741i | \(0.0932367\pi\) | |||||||
\(258\) | −4.36016 | − | 0.525951i | −0.271452 | − | 0.0327443i | ||||
\(259\) | −17.0487 | + | 0.345073i | −1.05935 | + | 0.0214418i | ||||
\(260\) | 9.70957 | + | 3.66654i | 0.602162 | + | 0.227389i | ||||
\(261\) | −6.04643 | − | 20.7529i | −0.374264 | − | 1.28457i | ||||
\(262\) | 1.49858 | + | 5.59277i | 0.0925824 | + | 0.345522i | ||||
\(263\) | −4.46730 | − | 16.6722i | −0.275466 | − | 1.02805i | −0.955529 | − | 0.294898i | \(-0.904714\pi\) |
0.680063 | − | 0.733153i | \(-0.261952\pi\) | |||||||
\(264\) | −3.40729 | − | 1.36821i | −0.209704 | − | 0.0842077i | ||||
\(265\) | −14.0280 | − | 5.29728i | −0.861733 | − | 0.325409i | ||||
\(266\) | −7.46983 | − | 12.3538i | −0.458005 | − | 0.757462i | ||||
\(267\) | 0.0829443 | − | 0.687613i | 0.00507611 | − | 0.0420812i | ||||
\(268\) | −2.43944 | + | 9.10412i | −0.149013 | + | 0.556123i | ||||
\(269\) | 13.8205 | − | 23.9379i | 0.842653 | − | 1.45952i | −0.0449907 | − | 0.998987i | \(-0.514326\pi\) |
0.887644 | − | 0.460531i | \(-0.152341\pi\) | |||||||
\(270\) | 11.0070 | − | 3.72095i | 0.669866 | − | 0.226450i | ||||
\(271\) | −2.56520 | − | 4.44305i | −0.155825 | − | 0.269896i | 0.777534 | − | 0.628840i | \(-0.216470\pi\) |
−0.933359 | + | 0.358944i | \(0.883137\pi\) | |||||||
\(272\) | 1.02522 | + | 1.02522i | 0.0621633 | + | 0.0621633i | ||||
\(273\) | −8.74669 | − | 19.3886i | −0.529374 | − | 1.17345i | ||||
\(274\) | 11.2071i | 0.677047i | ||||||||
\(275\) | −2.09055 | + | 10.3912i | −0.126065 | + | 0.626611i | ||||
\(276\) | −1.39336 | − | 9.76359i | −0.0838706 | − | 0.587699i | ||||
\(277\) | −7.12965 | − | 26.6082i | −0.428379 | − | 1.59873i | −0.756432 | − | 0.654073i | \(-0.773059\pi\) |
0.328053 | − | 0.944659i | \(-0.393608\pi\) | |||||||
\(278\) | 19.4472 | + | 5.21087i | 1.16637 | + | 0.312527i | ||||
\(279\) | −3.07750 | − | 0.753417i | −0.184245 | − | 0.0451059i | ||||
\(280\) | −2.54432 | − | 5.34101i | −0.152052 | − | 0.319187i | ||||
\(281\) | 19.8830i | 1.18612i | 0.805157 | + | 0.593062i | \(0.202081\pi\) | ||||
−0.805157 | + | 0.593062i | \(0.797919\pi\) | |||||||
\(282\) | 7.56392 | + | 17.7147i | 0.450425 | + | 1.05489i | ||||
\(283\) | −5.11082 | + | 1.36944i | −0.303807 | + | 0.0814048i | −0.407502 | − | 0.913204i | \(-0.633600\pi\) |
0.103695 | + | 0.994609i | \(0.466933\pi\) | |||||||
\(284\) | −0.879690 | + | 1.52367i | −0.0522000 | + | 0.0904131i | ||||
\(285\) | −14.2951 | + | 15.5645i | −0.846771 | + | 0.921962i | ||||
\(286\) | 9.83949 | 0.581821 | ||||||||
\(287\) | 1.37518 | + | 4.74593i | 0.0811746 | + | 0.280143i | ||||
\(288\) | −1.55604 | − | 2.56491i | −0.0916904 | − | 0.151139i | ||||
\(289\) | −12.9019 | + | 7.44892i | −0.758935 | + | 0.438172i | ||||
\(290\) | 10.2074 | + | 12.4655i | 0.599397 | + | 0.731997i | ||||
\(291\) | −20.9365 | + | 2.98785i | −1.22732 | + | 0.175151i | ||||
\(292\) | 1.20699 | + | 0.323412i | 0.0706338 | + | 0.0189263i | ||||
\(293\) | −21.3392 | + | 21.3392i | −1.24665 | + | 1.24665i | −0.289456 | + | 0.957191i | \(0.593474\pi\) |
−0.957191 | + | 0.289456i | \(0.906526\pi\) | |||||||
\(294\) | −4.05898 | + | 11.4247i | −0.236724 | + | 0.666304i | ||||
\(295\) | 4.85457 | + | 10.7455i | 0.282644 | + | 0.625626i | ||||
\(296\) | 5.58163 | − | 3.22256i | 0.324426 | − | 0.187307i | ||||
\(297\) | 8.51602 | − | 6.98656i | 0.494150 | − | 0.405402i | ||||
\(298\) | 11.4078 | − | 3.05671i | 0.660835 | − | 0.177070i | ||||
\(299\) | 13.2147 | + | 22.8886i | 0.764228 | + | 1.32368i | ||||
\(300\) | −6.46139 | + | 5.76632i | −0.373048 | + | 0.332919i | ||||
\(301\) | −5.87645 | − | 3.23601i | −0.338713 | − | 0.186521i | ||||
\(302\) | 6.12855 | + | 6.12855i | 0.352658 | + | 0.352658i | ||||
\(303\) | −3.00787 | − | 7.04440i | −0.172797 | − | 0.404690i | ||||
\(304\) | 4.72549 | + | 2.72826i | 0.271025 | + | 0.156477i | ||||
\(305\) | −18.3281 | − | 1.82539i | −1.04946 | − | 0.104521i | ||||
\(306\) | −4.17602 | + | 1.21670i | −0.238727 | + | 0.0695541i | ||||
\(307\) | 17.8595 | − | 17.8595i | 1.01929 | − | 1.01929i | 0.0194830 | − | 0.999810i | \(-0.493798\pi\) |
0.999810 | − | 0.0194830i | \(-0.00620203\pi\) | |||||||
\(308\) | −4.04537 | − | 3.88486i | −0.230506 | − | 0.221360i | ||||
\(309\) | 14.5897 | − | 11.4488i | 0.829978 | − | 0.651297i | ||||
\(310\) | 2.33045 | − | 0.382143i | 0.132360 | − | 0.0217042i | ||||
\(311\) | 13.1923 | + | 7.61659i | 0.748068 | + | 0.431897i | 0.824996 | − | 0.565139i | \(-0.191178\pi\) |
−0.0769272 | + | 0.997037i | \(0.524511\pi\) | |||||||
\(312\) | 6.43081 | + | 4.82455i | 0.364073 | + | 0.273137i | ||||
\(313\) | −5.90424 | + | 22.0349i | −0.333727 | + | 1.24549i | 0.571515 | + | 0.820591i | \(0.306356\pi\) |
−0.905243 | + | 0.424895i | \(0.860311\pi\) | |||||||
\(314\) | −17.4573 | −0.985172 | ||||||||
\(315\) | 17.7191 | + | 1.01683i | 0.998357 | + | 0.0572919i | ||||
\(316\) | 15.9827 | 0.899099 | ||||||||
\(317\) | −1.27984 | + | 4.77643i | −0.0718830 | + | 0.268271i | −0.992508 | − | 0.122176i | \(-0.961013\pi\) |
0.920625 | + | 0.390447i | \(0.127679\pi\) | |||||||
\(318\) | −9.29097 | − | 6.97032i | −0.521012 | − | 0.390876i | ||||
\(319\) | 13.2279 | + | 7.63712i | 0.740619 | + | 0.427596i | ||||
\(320\) | 1.81616 | + | 1.30445i | 0.101526 | + | 0.0729207i | ||||
\(321\) | −14.5471 | + | 11.4153i | −0.811940 | + | 0.637142i | ||||
\(322\) | 3.60389 | − | 14.6278i | 0.200837 | − | 0.815177i | ||||
\(323\) | 5.59416 | − | 5.59416i | 0.311267 | − | 0.311267i | ||||
\(324\) | 8.99152 | − | 0.390595i | 0.499529 | − | 0.0216997i | ||||
\(325\) | 10.3100 | − | 20.7919i | 0.571894 | − | 1.15332i | ||||
\(326\) | 4.51534 | + | 2.60693i | 0.250081 | + | 0.144385i | ||||
\(327\) | −5.82843 | − | 13.6501i | −0.322313 | − | 0.754854i | ||||
\(328\) | −1.32058 | − | 1.32058i | −0.0729167 | − | 0.0729167i | ||||
\(329\) | 0.595415 | + | 29.4171i | 0.0328263 | + | 1.62181i | ||||
\(330\) | −3.79943 | + | 7.27822i | −0.209152 | + | 0.400653i | ||||
\(331\) | 0.118156 | + | 0.204653i | 0.00649446 | + | 0.0112487i | 0.869254 | − | 0.494365i | \(-0.164599\pi\) |
−0.862760 | + | 0.505614i | \(0.831266\pi\) | |||||||
\(332\) | −12.9459 | + | 3.46885i | −0.710500 | + | 0.190378i | ||||
\(333\) | 0.419671 | + | 19.3308i | 0.0229978 | + | 1.05932i | ||||
\(334\) | 7.34183 | − | 4.23880i | 0.401727 | − | 0.231937i | ||||
\(335\) | 19.7166 | + | 7.44542i | 1.07723 | + | 0.406787i | ||||
\(336\) | −0.739092 | − | 4.52258i | −0.0403208 | − | 0.246727i | ||||
\(337\) | −0.442376 | + | 0.442376i | −0.0240977 | + | 0.0240977i | −0.719053 | − | 0.694955i | \(-0.755424\pi\) |
0.694955 | + | 0.719053i | \(0.255424\pi\) | |||||||
\(338\) | −8.25275 | − | 2.21132i | −0.448890 | − | 0.120280i | ||||
\(339\) | −17.2772 | + | 2.46563i | −0.938368 | + | 0.133915i | ||||
\(340\) | 2.50838 | − | 2.05399i | 0.136036 | − | 0.111393i | ||||
\(341\) | 1.93891 | − | 1.11943i | 0.104998 | − | 0.0606204i | ||||
\(342\) | −13.9955 | + | 8.49056i | −0.756789 | + | 0.459117i | ||||
\(343\) | −12.2771 | + | 13.8663i | −0.662900 | + | 0.748708i | ||||
\(344\) | 2.53559 | 0.136710 | ||||||||
\(345\) | −22.0333 | + | 0.936660i | −1.18624 | + | 0.0504281i | ||||
\(346\) | −2.50658 | + | 4.34153i | −0.134755 | + | 0.233402i | ||||
\(347\) | −3.94296 | + | 1.05651i | −0.211669 | + | 0.0567166i | −0.363095 | − | 0.931752i | \(-0.618280\pi\) |
0.151426 | + | 0.988469i | \(0.451613\pi\) | |||||||
\(348\) | 4.90069 | + | 11.4774i | 0.262704 | + | 0.615252i | ||||
\(349\) | 11.9140i | 0.637743i | 0.947798 | + | 0.318871i | \(0.103304\pi\) | ||||
−0.947798 | + | 0.318871i | \(0.896696\pi\) | |||||||
\(350\) | −12.4479 | + | 4.47767i | −0.665369 | + | 0.239342i | ||||
\(351\) | −21.9700 | + | 9.95010i | −1.17267 | + | 0.531097i | ||||
\(352\) | 2.04764 | + | 0.548664i | 0.109140 | + | 0.0292439i | ||||
\(353\) | 1.82988 | + | 6.82920i | 0.0973946 | + | 0.363482i | 0.997372 | − | 0.0724557i | \(-0.0230836\pi\) |
−0.899977 | + | 0.435937i | \(0.856417\pi\) | |||||||
\(354\) | 1.29036 | + | 9.04181i | 0.0685817 | + | 0.480567i | ||||
\(355\) | 3.19531 | + | 2.29502i | 0.169589 | + | 0.121807i | ||||
\(356\) | 0.399872i | 0.0211931i | ||||||||
\(357\) | −6.61114 | − | 0.662050i | −0.349899 | − | 0.0350394i | ||||
\(358\) | 5.72174 | + | 5.72174i | 0.302403 | + | 0.302403i | ||||
\(359\) | 4.55001 | + | 7.88085i | 0.240140 | + | 0.415935i | 0.960754 | − | 0.277401i | \(-0.0894732\pi\) |
−0.720614 | + | 0.693337i | \(0.756140\pi\) | |||||||
\(360\) | −6.05190 | + | 2.89388i | −0.318963 | + | 0.152521i | ||||
\(361\) | 5.38683 | − | 9.33027i | 0.283518 | − | 0.491067i | ||||
\(362\) | −2.76797 | + | 10.3302i | −0.145481 | + | 0.542943i | ||||
\(363\) | 1.34955 | − | 11.1878i | 0.0708329 | − | 0.587209i | ||||
\(364\) | 6.35414 | + | 10.5087i | 0.333047 | + | 0.550804i | ||||
\(365\) | 0.987086 | − | 2.61396i | 0.0516665 | − | 0.136821i | ||||
\(366\) | −13.2396 | − | 5.31642i | −0.692045 | − | 0.277894i | ||||
\(367\) | 2.86001 | + | 10.6737i | 0.149291 | + | 0.557163i | 0.999527 | + | 0.0307603i | \(0.00979286\pi\) |
−0.850235 | + | 0.526403i | \(0.823540\pi\) | |||||||
\(368\) | 1.47375 | + | 5.50010i | 0.0768244 | + | 0.286713i | ||||
\(369\) | 5.37908 | − | 1.56722i | 0.280024 | − | 0.0815860i | ||||
\(370\) | −5.93347 | − | 13.1336i | −0.308466 | − | 0.682784i | ||||
\(371\) | −9.18020 | − | 15.1825i | −0.476612 | − | 0.788236i | ||||
\(372\) | 1.81610 | + | 0.219070i | 0.0941603 | + | 0.0113582i | ||||
\(373\) | 8.87861 | − | 33.1354i | 0.459717 | − | 1.71569i | −0.214120 | − | 0.976807i | \(-0.568688\pi\) |
0.673837 | − | 0.738880i | \(-0.264645\pi\) | |||||||
\(374\) | 1.53679 | − | 2.66180i | 0.0794655 | − | 0.137638i | ||||
\(375\) | 11.3985 | + | 15.6548i | 0.588618 | + | 0.808411i | ||||
\(376\) | −5.56044 | − | 9.63096i | −0.286758 | − | 0.496679i | ||||
\(377\) | −23.6481 | − | 23.6481i | −1.21794 | − | 1.21794i | ||||
\(378\) | 12.9612 | + | 4.58341i | 0.666651 | + | 0.235745i | ||||
\(379\) | − | 17.2109i | − | 0.884063i | −0.897000 | − | 0.442031i | \(-0.854258\pi\) | ||
0.897000 | − | 0.442031i | \(-0.145742\pi\) | |||||||
\(380\) | 7.11774 | − | 9.90990i | 0.365132 | − | 0.508367i | ||||
\(381\) | −27.3700 | + | 3.90597i | −1.40221 | + | 0.200109i | ||||
\(382\) | 0.193562 | + | 0.722383i | 0.00990350 | + | 0.0369604i | ||||
\(383\) | −18.3791 | − | 4.92466i | −0.939128 | − | 0.251639i | −0.243385 | − | 0.969930i | \(-0.578258\pi\) |
−0.695743 | + | 0.718291i | \(0.744925\pi\) | |||||||
\(384\) | 1.06926 | + | 1.36260i | 0.0545653 | + | 0.0695351i | ||||
\(385\) | −9.54051 | + | 8.14029i | −0.486230 | + | 0.414867i | ||||
\(386\) | − | 9.25799i | − | 0.471220i | ||||||
\(387\) | −3.65950 | + | 6.66866i | −0.186023 | + | 0.338987i | ||||
\(388\) | 11.7941 | − | 3.16023i | 0.598756 | − | 0.160436i | ||||
\(389\) | 18.4175 | − | 31.9000i | 0.933804 | − | 1.61740i | 0.157052 | − | 0.987590i | \(-0.449801\pi\) |
0.776752 | − | 0.629806i | \(-0.216866\pi\) | |||||||
\(390\) | 12.1600 | − | 13.2398i | 0.615746 | − | 0.670423i | ||||
\(391\) | 8.25583 | 0.417515 | ||||||||
\(392\) | 1.53665 | − | 6.82925i | 0.0776126 | − | 0.344929i | ||||
\(393\) | 9.95650 | + | 1.20102i | 0.502239 | + | 0.0605833i | ||||
\(394\) | −3.32367 | + | 1.91892i | −0.167444 | + | 0.0966739i | ||||
\(395\) | 3.54185 | − | 35.5625i | 0.178210 | − | 1.78935i | ||||
\(396\) | −4.39827 | + | 4.59348i | −0.221022 | + | 0.230831i | ||||
\(397\) | 19.3405 | + | 5.18227i | 0.970672 | + | 0.260091i | 0.709112 | − | 0.705096i | \(-0.249096\pi\) |
0.261561 | + | 0.965187i | \(0.415763\pi\) | |||||||
\(398\) | −3.96399 | + | 3.96399i | −0.198697 | + | 0.198697i | ||||
\(399\) | −24.6776 | + | 4.03288i | −1.23542 | + | 0.201896i | ||||
\(400\) | 3.30494 | − | 3.75198i | 0.165247 | − | 0.187599i | ||||
\(401\) | 9.00824 | − | 5.20091i | 0.449850 | − | 0.259721i | −0.257917 | − | 0.966167i | \(-0.583036\pi\) |
0.707767 | + | 0.706446i | \(0.249703\pi\) | |||||||
\(402\) | 13.0586 | + | 9.79692i | 0.651306 | + | 0.488626i | ||||
\(403\) | −4.73502 | + | 1.26874i | −0.235868 | + | 0.0632006i | ||||
\(404\) | 2.21116 | + | 3.82984i | 0.110009 | + | 0.190542i | ||||
\(405\) | 1.12346 | − | 20.0932i | 0.0558254 | − | 0.998441i | ||||
\(406\) | 0.385771 | + | 19.0594i | 0.0191455 | + | 0.945901i | ||||
\(407\) | −9.66109 | − | 9.66109i | −0.478883 | − | 0.478883i | ||||
\(408\) | 2.30955 | − | 0.986147i | 0.114340 | − | 0.0488216i | ||||
\(409\) | −13.4035 | − | 7.73849i | −0.662758 | − | 0.382644i | 0.130569 | − | 0.991439i | \(-0.458320\pi\) |
−0.793327 | + | 0.608796i | \(0.791653\pi\) | |||||||
\(410\) | −3.23101 | + | 2.64572i | −0.159568 | + | 0.130663i | ||||
\(411\) | 18.0133 | + | 7.23331i | 0.888529 | + | 0.356793i | ||||
\(412\) | −7.57114 | + | 7.57114i | −0.373003 | + | 0.373003i | ||||
\(413\) | −3.33747 | + | 13.5465i | −0.164226 | + | 0.666577i | ||||
\(414\) | −16.5924 | − | 4.06206i | −0.815471 | − | 0.199640i | ||||
\(415\) | 4.84952 | + | 29.5742i | 0.238054 | + | 1.45174i | ||||
\(416\) | −4.01969 | − | 2.32077i | −0.197082 | − | 0.113785i | ||||
\(417\) | 20.9271 | − | 27.8945i | 1.02481 | − | 1.36600i | ||||
\(418\) | 2.99380 | − | 11.1730i | 0.146432 | − | 0.546490i | ||||
\(419\) | 14.9110 | 0.728451 | 0.364225 | − | 0.931311i | \(-0.381334\pi\) | ||||
0.364225 | + | 0.931311i | \(0.381334\pi\) | |||||||
\(420\) | −10.2268 | + | 0.642299i | −0.499017 | + | 0.0313410i | ||||
\(421\) | −16.5292 | −0.805586 | −0.402793 | − | 0.915291i | \(-0.631960\pi\) | ||||
−0.402793 | + | 0.915291i | \(0.631960\pi\) | |||||||
\(422\) | −3.84211 | + | 14.3389i | −0.187031 | + | 0.698009i | ||||
\(423\) | 33.3548 | − | 0.724131i | 1.62176 | − | 0.0352085i | ||||
\(424\) | 5.80749 | + | 3.35295i | 0.282036 | + | 0.162834i | ||||
\(425\) | −4.01438 | − | 6.03647i | −0.194726 | − | 0.292812i | ||||
\(426\) | 1.88123 | + | 2.39734i | 0.0911459 | + | 0.116151i | ||||
\(427\) | −15.7190 | − | 15.0953i | −0.760694 | − | 0.730511i | ||||
\(428\) | 7.54904 | − | 7.54904i | 0.364897 | − | 0.364897i | ||||
\(429\) | 6.35061 | − | 15.8151i | 0.306610 | − | 0.763559i | ||||
\(430\) | 0.561898 | − | 5.64184i | 0.0270971 | − | 0.272074i | ||||
\(431\) | −6.60065 | − | 3.81089i | −0.317942 | − | 0.183564i | 0.332533 | − | 0.943092i | \(-0.392097\pi\) |
−0.650475 | + | 0.759528i | \(0.725430\pi\) | |||||||
\(432\) | −5.12689 | + | 0.845583i | −0.246668 | + | 0.0406831i | ||||
\(433\) | −7.94117 | − | 7.94117i | −0.381628 | − | 0.381628i | 0.490060 | − | 0.871689i | \(-0.336975\pi\) |
−0.871689 | + | 0.490060i | \(0.836975\pi\) | |||||||
\(434\) | 2.44767 | + | 1.34787i | 0.117492 | + | 0.0646997i | ||||
\(435\) | 26.6238 | − | 8.36088i | 1.27652 | − | 0.400874i | ||||
\(436\) | 4.28463 | + | 7.42120i | 0.205197 | + | 0.355411i | ||||
\(437\) | 30.0114 | − | 8.04154i | 1.43564 | − | 0.384679i | ||||
\(438\) | 1.29884 | − | 1.73127i | 0.0620610 | − | 0.0827231i | ||||
\(439\) | −11.5080 | + | 6.64413i | −0.549245 | + | 0.317107i | −0.748818 | − | 0.662776i | \(-0.769378\pi\) |
0.199572 | + | 0.979883i | \(0.436045\pi\) | |||||||
\(440\) | 1.67458 | − | 4.43454i | 0.0798324 | − | 0.211409i | ||||
\(441\) | 15.7433 | + | 13.8978i | 0.749681 | + | 0.661799i | ||||
\(442\) | −4.75862 | + | 4.75862i | −0.226344 | + | 0.226344i | ||||
\(443\) | −23.7141 | − | 6.35418i | −1.12669 | − | 0.301896i | −0.353104 | − | 0.935584i | \(-0.614874\pi\) |
−0.773589 | + | 0.633688i | \(0.781540\pi\) | |||||||
\(444\) | −1.57713 | − | 11.0513i | −0.0748474 | − | 0.524471i | ||||
\(445\) | 0.889738 | + | 0.0886134i | 0.0421776 | + | 0.00420068i | ||||
\(446\) | −6.15816 | + | 3.55542i | −0.291597 | + | 0.168354i | ||||
\(447\) | 2.44976 | − | 20.3087i | 0.115870 | − | 0.960566i | ||||
\(448\) | 0.736347 | + | 2.54122i | 0.0347891 | + | 0.120061i | ||||
\(449\) | −5.93549 | −0.280113 | −0.140056 | − | 0.990144i | \(-0.544728\pi\) | ||||
−0.140056 | + | 0.990144i | \(0.544728\pi\) | |||||||
\(450\) | 5.09793 | + | 14.1071i | 0.240319 | + | 0.665016i | ||||
\(451\) | −1.97952 | + | 3.42863i | −0.0932119 | + | 0.161448i | ||||
\(452\) | 9.73272 | − | 2.60787i | 0.457789 | − | 0.122664i | ||||
\(453\) | 13.8059 | − | 5.89496i | 0.648660 | − | 0.276969i | ||||
\(454\) | − | 11.6375i | − | 0.546175i | ||||||
\(455\) | 24.7905 | − | 11.8096i | 1.16220 | − | 0.553641i | ||||
\(456\) | 7.43508 | − | 5.83443i | 0.348180 | − | 0.273222i | ||||
\(457\) | 10.0583 | + | 2.69512i | 0.470508 | + | 0.126072i | 0.486280 | − | 0.873803i | \(-0.338354\pi\) |
−0.0157712 | + | 0.999876i | \(0.505020\pi\) | |||||||
\(458\) | 1.07047 | + | 3.99505i | 0.0500198 | + | 0.186676i | ||||
\(459\) | −0.739682 | + | 7.49743i | −0.0345254 | + | 0.349950i | ||||
\(460\) | 12.5646 | − | 2.06033i | 0.585829 | − | 0.0960633i | ||||
\(461\) | − | 32.7232i | − | 1.52407i | −0.647535 | − | 0.762035i | \(-0.724200\pi\) | ||
0.647535 | − | 0.762035i | \(-0.275800\pi\) | |||||||
\(462\) | −8.85512 | + | 3.99478i | −0.411978 | + | 0.185854i | ||||
\(463\) | 6.59995 | + | 6.59995i | 0.306726 | + | 0.306726i | 0.843638 | − | 0.536912i | \(-0.180409\pi\) |
−0.536912 | + | 0.843638i | \(0.680409\pi\) | |||||||
\(464\) | −3.60262 | − | 6.23993i | −0.167248 | − | 0.289681i | ||||
\(465\) | 0.889899 | − | 3.99238i | 0.0412681 | − | 0.185142i | ||||
\(466\) | −11.3521 | + | 19.6623i | −0.525874 | + | 0.910841i | ||||
\(467\) | −0.208078 | + | 0.776556i | −0.00962868 | + | 0.0359347i | −0.970573 | − | 0.240807i | \(-0.922588\pi\) |
0.960944 | + | 0.276742i | \(0.0892546\pi\) | |||||||
\(468\) | 11.9051 | − | 7.22241i | 0.550314 | − | 0.333856i | ||||
\(469\) | 12.9029 | + | 21.3393i | 0.595803 | + | 0.985357i | ||||
\(470\) | −22.6617 | + | 10.2380i | −1.04531 | + | 0.472246i | ||||
\(471\) | −11.2673 | + | 28.0592i | −0.519170 | + | 1.29290i | ||||
\(472\) | −1.36480 | − | 5.09350i | −0.0628200 | − | 0.234447i | ||||
\(473\) | −1.39119 | − | 5.19198i | −0.0639669 | − | 0.238728i | ||||
\(474\) | 10.3156 | − | 25.6891i | 0.473811 | − | 1.17994i | ||||
\(475\) | −20.4728 | − | 18.0335i | −0.939357 | − | 0.827432i | ||||
\(476\) | 3.83525 | − | 0.0776272i | 0.175788 | − | 0.00355804i | ||||
\(477\) | −17.2000 | + | 10.4346i | −0.787535 | + | 0.477770i | ||||
\(478\) | 2.74758 | − | 10.2541i | 0.125672 | − | 0.469013i | ||||
\(479\) | −8.48718 | + | 14.7002i | −0.387789 | + | 0.671670i | −0.992152 | − | 0.125039i | \(-0.960094\pi\) |
0.604363 | + | 0.796709i | \(0.293428\pi\) | |||||||
\(480\) | 3.26883 | − | 2.07720i | 0.149201 | − | 0.0948109i | ||||
\(481\) | 14.9576 | + | 25.9074i | 0.682009 | + | 1.18127i | ||||
\(482\) | 14.2319 | + | 14.2319i | 0.648245 | + | 0.648245i | ||||
\(483\) | −21.1854 | − | 15.2337i | −0.963967 | − | 0.693156i | ||||
\(484\) | 6.50612i | 0.295733i | ||||||||
\(485\) | −4.41806 | − | 26.9430i | −0.200614 | − | 1.22342i | ||||
\(486\) | 5.17551 | − | 14.7042i | 0.234766 | − | 0.666997i | ||||
\(487\) | −4.13903 | − | 15.4471i | −0.187557 | − | 0.699974i | −0.994069 | − | 0.108755i | \(-0.965314\pi\) |
0.806511 | − | 0.591219i | \(-0.201353\pi\) | |||||||
\(488\) | 7.95646 | + | 2.13193i | 0.360172 | + | 0.0965078i | ||||
\(489\) | 7.10443 | − | 5.57496i | 0.321273 | − | 0.252108i | ||||
\(490\) | −14.8550 | − | 4.93253i | −0.671079 | − | 0.222829i | ||||
\(491\) | − | 6.87591i | − | 0.310305i | −0.987891 | − | 0.155153i | \(-0.950413\pi\) | ||
0.987891 | − | 0.155153i | \(-0.0495869\pi\) | |||||||
\(492\) | −2.97490 | + | 1.27024i | −0.134119 | + | 0.0572670i | ||||
\(493\) | −10.0908 | + | 2.70383i | −0.454468 | + | 0.121774i | ||||
\(494\) | −12.6633 | + | 21.9335i | −0.569750 | + | 0.986837i | ||||
\(495\) | 9.24610 | + | 10.8044i | 0.415581 | + | 0.485620i | ||||
\(496\) | −1.05613 | −0.0474215 | ||||||||
\(497\) | 1.29551 | + | 4.47097i | 0.0581117 | + | 0.200550i | ||||
\(498\) | −2.78007 | + | 23.0469i | −0.124578 | + | 1.03276i | ||||
\(499\) | 26.8381 | − | 15.4950i | 1.20144 | − | 0.693651i | 0.240564 | − | 0.970633i | \(-0.422668\pi\) |
0.960875 | + | 0.276982i | \(0.0893343\pi\) | |||||||
\(500\) | −7.61600 | − | 8.18514i | −0.340598 | − | 0.366051i | ||||
\(501\) | −2.07449 | − | 14.5364i | −0.0926813 | − | 0.649437i | ||||
\(502\) | −17.2316 | − | 4.61720i | −0.769085 | − | 0.206076i | ||||
\(503\) | −19.3755 | + | 19.3755i | −0.863913 | + | 0.863913i | −0.991790 | − | 0.127877i | \(-0.959184\pi\) |
0.127877 | + | 0.991790i | \(0.459184\pi\) | |||||||
\(504\) | −7.74620 | − | 1.73102i | −0.345043 | − | 0.0771058i | ||||
\(505\) | 9.01164 | − | 4.07126i | 0.401013 | − | 0.181168i | ||||
\(506\) | 10.4537 | − | 6.03542i | 0.464722 | − | 0.268307i | ||||
\(507\) | −8.88076 | + | 11.8375i | −0.394408 | + | 0.525720i | ||||
\(508\) | 15.4183 | − | 4.13131i | 0.684075 | − | 0.183297i | ||||
\(509\) | 10.4397 | + | 18.0821i | 0.462733 | + | 0.801477i | 0.999096 | − | 0.0425105i | \(-0.0135356\pi\) |
−0.536363 | + | 0.843987i | \(0.680202\pi\) | |||||||
\(510\) | −1.68243 | − | 5.35742i | −0.0744993 | − | 0.237231i | ||||
\(511\) | 2.82909 | − | 1.71063i | 0.125151 | − | 0.0756736i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 4.61395 | + | 27.9750i | 0.203711 | + | 1.23513i | ||||
\(514\) | −0.863752 | − | 0.498688i | −0.0380985 | − | 0.0219962i | ||||
\(515\) | 15.1684 | + | 18.5240i | 0.668401 | + | 0.816266i | ||||
\(516\) | 1.63652 | − | 4.07547i | 0.0720439 | − | 0.179412i | ||||
\(517\) | −16.6700 | + | 16.6700i | −0.733144 | + | 0.733144i | ||||
\(518\) | 4.07921 | − | 16.5571i | 0.179230 | − | 0.727476i | ||||
\(519\) | 5.36037 | + | 6.83096i | 0.235294 | + | 0.299846i | ||||
\(520\) | −6.05463 | + | 8.42976i | −0.265513 | + | 0.369669i | ||||
\(521\) | 18.9520 | + | 10.9419i | 0.830300 | + | 0.479374i | 0.853956 | − | 0.520346i | \(-0.174197\pi\) |
−0.0236551 | + | 0.999720i | \(0.507530\pi\) | |||||||
\(522\) | 21.6106 | − | 0.469166i | 0.945872 | − | 0.0205349i | ||||
\(523\) | −3.39310 | + | 12.6632i | −0.148370 | + | 0.553724i | 0.851212 | + | 0.524822i | \(0.175868\pi\) |
−0.999582 | + | 0.0289028i | \(0.990799\pi\) | |||||||
\(524\) | −5.79006 | −0.252940 | ||||||||
\(525\) | −0.837151 | + | 22.8976i | −0.0365363 | + | 0.999332i | ||||
\(526\) | 17.2603 | 0.752586 | ||||||||
\(527\) | −0.396320 | + | 1.47909i | −0.0172640 | + | 0.0644300i | ||||
\(528\) | 2.20346 | − | 2.93707i | 0.0958934 | − | 0.127820i | ||||
\(529\) | 8.16059 | + | 4.71152i | 0.354808 | + | 0.204849i | ||||
\(530\) | 8.74749 | − | 12.1790i | 0.379967 | − | 0.529021i | ||||
\(531\) | 15.3658 | + | 3.76177i | 0.666818 | + | 0.163247i | ||||
\(532\) | 13.8662 | − | 4.01789i | 0.601177 | − | 0.174198i | ||||
\(533\) | 6.12951 | − | 6.12951i | 0.265499 | − | 0.265499i | ||||
\(534\) | 0.642716 | + | 0.258085i | 0.0278130 | + | 0.0111685i | ||||
\(535\) | −15.1242 | − | 18.4700i | −0.653875 | − | 0.798527i | ||||
\(536\) | −8.16253 | − | 4.71264i | −0.352568 | − | 0.203555i | ||||
\(537\) | 12.8895 | − | 5.50365i | 0.556224 | − | 0.237500i | ||||
\(538\) | 19.5452 | + | 19.5452i | 0.842653 | + | 0.842653i | ||||
\(539\) | −14.8270 | + | 0.600456i | −0.638643 | + | 0.0258635i | ||||
\(540\) | 0.745331 | + | 11.5950i | 0.0320740 | + | 0.498970i | ||||
\(541\) | −11.6807 | − | 20.2316i | −0.502194 | − | 0.869826i | −0.999997 | − | 0.00253553i | \(-0.999193\pi\) |
0.497803 | − | 0.867290i | \(-0.334140\pi\) | |||||||
\(542\) | 4.95558 | − | 1.32784i | 0.212860 | − | 0.0570358i | ||||
\(543\) | 14.8173 | + | 11.1163i | 0.635870 | + | 0.477046i | ||||
\(544\) | −1.25564 | + | 0.724943i | −0.0538350 | + | 0.0310817i | ||||
\(545\) | 17.4621 | − | 7.88899i | 0.747995 | − | 0.337927i | ||||
\(546\) | 20.9917 | − | 3.43052i | 0.898363 | − | 0.146813i | ||||
\(547\) | −2.60152 | + | 2.60152i | −0.111233 | + | 0.111233i | −0.760533 | − | 0.649300i | \(-0.775062\pi\) |
0.649300 | + | 0.760533i | \(0.275062\pi\) | |||||||
\(548\) | −10.8253 | − | 2.90062i | −0.462432 | − | 0.123908i | ||||
\(549\) | −17.0902 | + | 17.8487i | −0.729393 | + | 0.761766i | ||||
\(550\) | −9.49603 | − | 4.70875i | −0.404912 | − | 0.200782i | ||||
\(551\) | −34.0483 | + | 19.6578i | −1.45051 | + | 0.837451i | ||||
\(552\) | 9.79153 | + | 1.18112i | 0.416755 | + | 0.0502717i | ||||
\(553\) | 29.2897 | − | 30.4999i | 1.24553 | − | 1.29699i | ||||
\(554\) | 27.5468 | 1.17035 | ||||||||
\(555\) | −24.9393 | + | 1.06020i | −1.05861 | + | 0.0450028i | ||||
\(556\) | −10.0666 | + | 17.4359i | −0.426920 | + | 0.739448i | ||||
\(557\) | −36.8670 | + | 9.87848i | −1.56211 | + | 0.418565i | −0.933329 | − | 0.359022i | \(-0.883110\pi\) |
−0.628776 | + | 0.777587i | \(0.716444\pi\) | |||||||
\(558\) | 1.52426 | − | 2.77763i | 0.0645271 | − | 0.117587i | ||||
\(559\) | 11.7690i | 0.497777i | ||||||||
\(560\) | 5.81754 | − | 1.07527i | 0.245836 | − | 0.0454384i | ||||
\(561\) | −3.28645 | − | 4.18807i | −0.138754 | − | 0.176820i | ||||
\(562\) | −19.2055 | − | 5.14611i | −0.810137 | − | 0.217076i | ||||
\(563\) | 1.02963 | + | 3.84263i | 0.0433937 | + | 0.161948i | 0.984223 | − | 0.176934i | \(-0.0566180\pi\) |
−0.940829 | + | 0.338882i | \(0.889951\pi\) | |||||||
\(564\) | −19.0687 | + | 2.72130i | −0.802938 | + | 0.114587i | ||||
\(565\) | −3.64586 | − | 22.2338i | −0.153383 | − | 0.935383i | ||||
\(566\) | − | 5.29112i | − | 0.222402i | ||||||
\(567\) | 15.7324 | − | 17.8744i | 0.660697 | − | 0.750652i | ||||
\(568\) | −1.24407 | − | 1.24407i | −0.0522000 | − | 0.0522000i | ||||
\(569\) | 2.50482 | + | 4.33847i | 0.105007 | + | 0.181878i | 0.913741 | − | 0.406297i | \(-0.133180\pi\) |
−0.808734 | + | 0.588175i | \(0.799847\pi\) | |||||||
\(570\) | −11.3343 | − | 17.8364i | −0.474742 | − | 0.747086i | ||||
\(571\) | −16.4609 | + | 28.5111i | −0.688867 | + | 1.19315i | 0.283338 | + | 0.959020i | \(0.408558\pi\) |
−0.972205 | + | 0.234132i | \(0.924775\pi\) | |||||||
\(572\) | −2.54665 | + | 9.50422i | −0.106481 | + | 0.397391i | ||||
\(573\) | 1.28602 | + | 0.155128i | 0.0537243 | + | 0.00648057i | ||||
\(574\) | −4.94014 | + | 0.0999906i | −0.206197 | + | 0.00417353i | ||||
\(575\) | −1.79997 | − | 28.4137i | −0.0750641 | − | 1.18493i | ||||
\(576\) | 2.88024 | − | 0.839170i | 0.120010 | − | 0.0349654i | ||||
\(577\) | 5.90675 | + | 22.0443i | 0.245901 | + | 0.917716i | 0.972928 | + | 0.231107i | \(0.0742347\pi\) |
−0.727027 | + | 0.686609i | \(0.759099\pi\) | |||||||
\(578\) | −3.85584 | − | 14.3902i | −0.160382 | − | 0.598553i | ||||
\(579\) | −14.8804 | − | 5.97530i | −0.618410 | − | 0.248325i | ||||
\(580\) | −14.6826 | + | 6.63326i | −0.609660 | + | 0.275431i | ||||
\(581\) | −17.1049 | + | 31.0617i | −0.709631 | + | 1.28866i | ||||
\(582\) | 2.53273 | − | 20.9964i | 0.104985 | − | 0.870330i | ||||
\(583\) | 3.67929 | − | 13.7313i | 0.152381 | − | 0.568693i | ||||
\(584\) | −0.624785 | + | 1.08216i | −0.0258538 | + | 0.0447800i | ||||
\(585\) | −13.4321 | − | 28.0901i | −0.555347 | − | 1.16138i | ||||
\(586\) | −15.0891 | − | 26.1350i | −0.623324 | − | 1.07963i | ||||
\(587\) | 29.3071 | + | 29.3071i | 1.20963 | + | 1.20963i | 0.971145 | + | 0.238489i | \(0.0766522\pi\) |
0.238489 | + | 0.971145i | \(0.423348\pi\) | |||||||
\(588\) | −9.98491 | − | 6.87761i | −0.411771 | − | 0.283628i | ||||
\(589\) | 5.76278i | 0.237451i | ||||||||
\(590\) | −11.6358 | + | 1.90802i | −0.479038 | + | 0.0785519i | ||||
\(591\) | 0.939127 | + | 6.58066i | 0.0386305 | + | 0.270692i | ||||
\(592\) | 1.66812 | + | 6.22550i | 0.0685593 | + | 0.255867i | ||||
\(593\) | −21.0623 | − | 5.64362i | −0.864925 | − | 0.231756i | −0.201033 | − | 0.979584i | \(-0.564430\pi\) |
−0.663892 | + | 0.747829i | \(0.731096\pi\) | |||||||
\(594\) | 4.54439 | + | 10.0341i | 0.186459 | + | 0.411704i | ||||
\(595\) | 0.677184 | − | 8.55087i | 0.0277618 | − | 0.350551i | ||||
\(596\) | 11.8102i | 0.483765i | ||||||||
\(597\) | 3.81290 | + | 8.92979i | 0.156052 | + | 0.365472i | ||||
\(598\) | −25.5289 | + | 6.84045i | −1.04396 | + | 0.279727i | ||||
\(599\) | −6.91835 | + | 11.9829i | −0.282676 | + | 0.489610i | −0.972043 | − | 0.234803i | \(-0.924556\pi\) |
0.689367 | + | 0.724413i | \(0.257889\pi\) | |||||||
\(600\) | −3.89751 | − | 7.73365i | −0.159115 | − | 0.315725i | ||||
\(601\) | 7.92094 | 0.323102 | 0.161551 | − | 0.986864i | \(-0.448350\pi\) | ||||
0.161551 | + | 0.986864i | \(0.448350\pi\) | |||||||
\(602\) | 4.64669 | − | 4.83868i | 0.189385 | − | 0.197210i | ||||
\(603\) | 24.1750 | − | 14.6661i | 0.984481 | − | 0.597249i | ||||
\(604\) | −7.50591 | + | 4.33354i | −0.305411 | + | 0.176329i | ||||
\(605\) | 14.4765 | + | 1.44179i | 0.588554 | + | 0.0586170i | ||||
\(606\) | 7.58286 | − | 1.08215i | 0.308033 | − | 0.0439594i | ||||
\(607\) | −31.9387 | − | 8.55795i | −1.29635 | − | 0.347356i | −0.456282 | − | 0.889835i | \(-0.650819\pi\) |
−0.840070 | + | 0.542479i | \(0.817486\pi\) | |||||||
\(608\) | −3.85835 | + | 3.85835i | −0.156477 | + | 0.156477i | ||||
\(609\) | 30.8832 | + | 11.6813i | 1.25145 | + | 0.473349i | ||||
\(610\) | 6.50685 | − | 17.2312i | 0.263455 | − | 0.697669i | ||||
\(611\) | 44.7025 | − | 25.8090i | 1.80847 | − | 1.04412i | ||||
\(612\) | −0.0944086 | − | 4.34863i | −0.00381624 | − | 0.175783i | ||||
\(613\) | −9.17128 | + | 2.45744i | −0.370424 | + | 0.0992549i | −0.439229 | − | 0.898375i | \(-0.644748\pi\) |
0.0688043 | + | 0.997630i | \(0.478082\pi\) | |||||||
\(614\) | 12.6285 | + | 21.8733i | 0.509647 | + | 0.882734i | ||||
\(615\) | 2.16712 | + | 6.90082i | 0.0873865 | + | 0.278268i | ||||
\(616\) | 4.79950 | − | 2.90205i | 0.193378 | − | 0.116927i | ||||
\(617\) | 13.7827 | + | 13.7827i | 0.554873 | + | 0.554873i | 0.927843 | − | 0.372971i | \(-0.121661\pi\) |
−0.372971 | + | 0.927843i | \(0.621661\pi\) | |||||||
\(618\) | 7.28256 | + | 17.0557i | 0.292948 | + | 0.686081i | ||||
\(619\) | 6.45537 | + | 3.72701i | 0.259463 | + | 0.149801i | 0.624090 | − | 0.781353i | \(-0.285470\pi\) |
−0.364626 | + | 0.931154i | \(0.618803\pi\) | |||||||
\(620\) | −0.234042 | + | 2.34994i | −0.00939937 | + | 0.0943760i | ||||
\(621\) | −17.2380 | + | 24.0473i | −0.691739 | + | 0.964984i | ||||
\(622\) | −10.7715 | + | 10.7715i | −0.431897 | + | 0.431897i | ||||
\(623\) | 0.763077 | + | 0.732799i | 0.0305720 | + | 0.0293590i | ||||
\(624\) | −6.32458 | + | 4.96300i | −0.253186 | + | 0.198679i | ||||
\(625\) | −19.9002 | + | 15.1322i | −0.796007 | + | 0.605288i | ||||
\(626\) | −19.7560 | − | 11.4061i | −0.789607 | − | 0.455880i | ||||
\(627\) | −16.0262 | − | 12.0233i | −0.640025 | − | 0.480163i | ||||
\(628\) | 4.51828 | − | 16.8625i | 0.180299 | − | 0.672885i | ||||
\(629\) | 9.34468 | 0.372597 | ||||||||
\(630\) | −5.56822 | + | 16.8521i | −0.221843 | + | 0.671406i | ||||
\(631\) | −49.0067 | −1.95093 | −0.975463 | − | 0.220162i | \(-0.929342\pi\) | ||||
−0.975463 | + | 0.220162i | \(0.929342\pi\) | |||||||
\(632\) | −4.13664 | + | 15.4381i | −0.164547 | + | 0.614096i | ||||
\(633\) | 20.5673 | + | 15.4301i | 0.817477 | + | 0.613292i | ||||
\(634\) | −4.28243 | − | 2.47246i | −0.170077 | − | 0.0981940i | ||||
\(635\) | −5.77566 | − | 35.2221i | −0.229200 | − | 1.39775i | ||||
\(636\) | 9.13750 | − | 7.17034i | 0.362325 | − | 0.284322i | ||||
\(637\) | 31.6982 | + | 7.13242i | 1.25593 | + | 0.282597i | ||||
\(638\) | −10.8005 | + | 10.8005i | −0.427596 | + | 0.427596i | ||||
\(639\) | 5.06744 | − | 1.47642i | 0.200465 | − | 0.0584062i | ||||
\(640\) | −1.73005 | + | 1.41666i | −0.0683864 | + | 0.0559983i | ||||
\(641\) | −20.1256 | − | 11.6195i | −0.794915 | − | 0.458944i | 0.0467751 | − | 0.998905i | \(-0.485106\pi\) |
−0.841690 | + | 0.539961i | \(0.818439\pi\) | |||||||
\(642\) | −7.26131 | − | 17.0059i | −0.286581 | − | 0.671171i | ||||
\(643\) | 15.5301 | + | 15.5301i | 0.612445 | + | 0.612445i | 0.943583 | − | 0.331137i | \(-0.107432\pi\) |
−0.331137 | + | 0.943583i | \(0.607432\pi\) | |||||||
\(644\) | 13.1966 | + | 7.26705i | 0.520020 | + | 0.286362i | ||||
\(645\) | −8.70550 | − | 4.54450i | −0.342779 | − | 0.178940i | ||||
\(646\) | 3.95567 | + | 6.85142i | 0.155634 | + | 0.269565i | ||||
\(647\) | −41.7186 | + | 11.1785i | −1.64013 | + | 0.439471i | −0.956825 | − | 0.290663i | \(-0.906124\pi\) |
−0.683303 | + | 0.730135i | \(0.739457\pi\) | |||||||
\(648\) | −1.94989 | + | 8.78624i | −0.0765989 | + | 0.345156i | ||||
\(649\) | −9.68086 | + | 5.58925i | −0.380007 | + | 0.219397i | ||||
\(650\) | 17.4150 | + | 15.3400i | 0.683072 | + | 0.601684i | ||||
\(651\) | 3.74621 | − | 3.06421i | 0.146826 | − | 0.120096i | ||||
\(652\) | −3.68676 | + | 3.68676i | −0.144385 | + | 0.144385i | ||||
\(653\) | 24.1492 | + | 6.47076i | 0.945031 | + | 0.253220i | 0.698252 | − | 0.715852i | \(-0.253961\pi\) |
0.246778 | + | 0.969072i | \(0.420628\pi\) | |||||||
\(654\) | 14.6935 | − | 2.09692i | 0.574563 | − | 0.0819959i | ||||
\(655\) | −1.28310 | + | 12.8832i | −0.0501350 | + | 0.503389i | ||||
\(656\) | 1.61737 | − | 0.933789i | 0.0631477 | − | 0.0364583i | ||||
\(657\) | −1.94438 | − | 3.20503i | −0.0758573 | − | 0.125040i | ||||
\(658\) | −28.5688 | − | 7.03857i | −1.11373 | − | 0.274392i | ||||
\(659\) | −20.0343 | −0.780425 | −0.390213 | − | 0.920725i | \(-0.627599\pi\) | ||||
−0.390213 | + | 0.920725i | \(0.627599\pi\) | |||||||
\(660\) | −6.04686 | − | 5.55371i | −0.235374 | − | 0.216178i | ||||
\(661\) | −6.62569 | + | 11.4760i | −0.257709 | + | 0.446366i | −0.965628 | − | 0.259928i | \(-0.916301\pi\) |
0.707918 | + | 0.706294i | \(0.249634\pi\) | |||||||
\(662\) | −0.228261 | + | 0.0611622i | −0.00887160 | + | 0.00237714i | ||||
\(663\) | 4.57724 | + | 10.7199i | 0.177765 | + | 0.416325i | ||||
\(664\) | − | 13.4026i | − | 0.520122i | ||||||
\(665\) | −5.86723 | − | 31.7436i | −0.227522 | − | 1.23096i | ||||
\(666\) | −18.7807 | − | 4.59781i | −0.727739 | − | 0.178161i | ||||
\(667\) | −39.6296 | − | 10.6187i | −1.53446 | − | 0.411158i | ||||
\(668\) | 2.19417 | + | 8.18874i | 0.0848949 | + | 0.316832i | ||||
\(669\) | 1.74003 | + | 12.1928i | 0.0672736 | + | 0.471401i | ||||
\(670\) | −12.2948 | + | 17.1178i | −0.474988 | + | 0.661318i | ||||
\(671\) | − | 17.4617i | − | 0.674102i | ||||||
\(672\) | 4.55977 | + | 0.456622i | 0.175897 | + | 0.0176146i | ||||
\(673\) | −18.6445 | − | 18.6445i | −0.718692 | − | 0.718692i | 0.249645 | − | 0.968337i | \(-0.419686\pi\) |
−0.968337 | + | 0.249645i | \(0.919686\pi\) | |||||||
\(674\) | −0.312807 | − | 0.541798i | −0.0120489 | − | 0.0208693i | ||||
\(675\) | 25.9648 | + | 0.911103i | 0.999385 | + | 0.0350684i | ||||
\(676\) | 4.27194 | − | 7.39921i | 0.164305 | − | 0.284585i | ||||
\(677\) | 12.8090 | − | 47.8038i | 0.492290 | − | 1.83725i | −0.0524196 | − | 0.998625i | \(-0.516693\pi\) |
0.544709 | − | 0.838625i | \(-0.316640\pi\) | |||||||
\(678\) | 2.09005 | − | 17.3266i | 0.0802679 | − | 0.665425i | ||||
\(679\) | 15.5831 | − | 28.2982i | 0.598024 | − | 1.08598i | ||||
\(680\) | 1.33479 | + | 2.95452i | 0.0511867 | + | 0.113301i | ||||
\(681\) | −18.7050 | − | 7.51109i | −0.716779 | − | 0.287826i | ||||
\(682\) | 0.579459 | + | 2.16257i | 0.0221886 | + | 0.0828091i | ||||
\(683\) | 2.56877 | + | 9.58678i | 0.0982913 | + | 0.366828i | 0.997498 | − | 0.0706962i | \(-0.0225221\pi\) |
−0.899207 | + | 0.437524i | \(0.855855\pi\) | |||||||
\(684\) | −4.57895 | − | 15.7161i | −0.175081 | − | 0.600921i | ||||
\(685\) | −8.85297 | + | 23.4440i | −0.338255 | + | 0.895751i | ||||
\(686\) | −10.2162 | − | 15.4476i | −0.390058 | − | 0.589792i | ||||
\(687\) | 7.11217 | + | 0.857916i | 0.271346 | + | 0.0327315i | ||||
\(688\) | −0.656259 | + | 2.44919i | −0.0250196 | + | 0.0933746i | ||||
\(689\) | −15.5629 | + | 26.9557i | −0.592898 | + | 1.02693i | ||||
\(690\) | 4.79791 | − | 21.5250i | 0.182653 | − | 0.819443i | ||||
\(691\) | −3.42873 | − | 5.93874i | −0.130435 | − | 0.225920i | 0.793409 | − | 0.608689i | \(-0.208304\pi\) |
−0.923844 | + | 0.382768i | \(0.874971\pi\) | |||||||
\(692\) | −3.54485 | − | 3.54485i | −0.134755 | − | 0.134755i | ||||
\(693\) | 0.705547 | + | 16.8112i | 0.0268015 | + | 0.638605i | ||||
\(694\) | − | 4.08205i | − | 0.154953i | ||||||
\(695\) | 36.5651 | + | 26.2627i | 1.38700 | + | 0.996202i | ||||
\(696\) | −12.3547 | + | 1.76314i | −0.468303 | + | 0.0668316i | ||||
\(697\) | −0.700824 | − | 2.61551i | −0.0265456 | − | 0.0990695i | ||||
\(698\) | −11.5081 | − | 3.08358i | −0.435587 | − | 0.116715i | ||||
\(699\) | 24.2765 | + | 30.9367i | 0.918223 | + | 1.17013i | ||||
\(700\) | −1.10334 | − | 13.1827i | −0.0417025 | − | 0.498258i | ||||
\(701\) | 28.8845i | 1.09095i | 0.838127 | + | 0.545476i | \(0.183651\pi\) | ||||
−0.838127 | + | 0.545476i | \(0.816349\pi\) | |||||||
\(702\) | −3.92481 | − | 23.7966i | −0.148132 | − | 0.898147i | ||||
\(703\) | 33.9696 | − | 9.10213i | 1.28119 | − | 0.343293i | ||||
\(704\) | −1.05994 | + | 1.83587i | −0.0399479 | + | 0.0691918i | ||||
\(705\) | 1.82934 | + | 43.0321i | 0.0688969 | + | 1.62068i | ||||
\(706\) | −7.07011 | −0.266087 | ||||||||
\(707\) | 11.3607 | + | 2.79895i | 0.427261 | + | 0.105265i | ||||
\(708\) | −9.06769 | − | 1.09380i | −0.340785 | − | 0.0411076i | ||||
\(709\) | −21.3823 | + | 12.3450i | −0.803027 | + | 0.463628i | −0.844529 | − | 0.535510i | \(-0.820119\pi\) |
0.0415013 | + | 0.999138i | \(0.486786\pi\) | |||||||
\(710\) | −3.04382 | + | 2.49244i | −0.114233 | + | 0.0935395i | ||||
\(711\) | −34.6324 | − | 33.1606i | −1.29882 | − | 1.24362i | ||||
\(712\) | −0.386246 | − | 0.103494i | −0.0144752 | − | 0.00387862i | ||||
\(713\) | −4.25234 | + | 4.25234i | −0.159251 | + | 0.159251i | ||||
\(714\) | 2.35058 | − | 6.21452i | 0.0879683 | − | 0.232573i | ||||
\(715\) | 20.5831 | + | 7.77262i | 0.769764 | + | 0.290679i | ||||
\(716\) | −7.00767 | + | 4.04588i | −0.261889 | + | 0.151202i | ||||
\(717\) | −14.7082 | − | 11.0344i | −0.549287 | − | 0.412089i | ||||
\(718\) | −8.78994 | + | 2.35526i | −0.328038 | + | 0.0878975i | ||||
\(719\) | −11.2630 | − | 19.5080i | −0.420038 | − | 0.727527i | 0.575905 | − | 0.817517i | \(-0.304650\pi\) |
−0.995943 | + | 0.0899900i | \(0.971316\pi\) | |||||||
\(720\) | −1.22893 | − | 6.59467i | −0.0457995 | − | 0.245769i | ||||
\(721\) | 0.573266 | + | 28.3228i | 0.0213496 | + | 1.05480i | ||||
\(722\) | 7.61813 | + | 7.61813i | 0.283518 | + | 0.283518i | ||||
\(723\) | 32.0606 | − | 13.6894i | 1.19234 | − | 0.509116i | ||||
\(724\) | −9.26180 | − | 5.34730i | −0.344212 | − | 0.198731i | ||||
\(725\) | 11.5057 | + | 34.1396i | 0.427310 | + | 1.26791i | ||||
\(726\) | 10.4573 | + | 4.19919i | 0.388108 | + | 0.155846i | ||||
\(727\) | 6.61815 | − | 6.61815i | 0.245454 | − | 0.245454i | −0.573648 | − | 0.819102i | \(-0.694472\pi\) |
0.819102 | + | 0.573648i | \(0.194472\pi\) | |||||||
\(728\) | −11.7952 | + | 3.41778i | −0.437158 | + | 0.126671i | ||||
\(729\) | −20.2938 | − | 17.8090i | −0.751622 | − | 0.659594i | ||||
\(730\) | 2.26941 | + | 1.62999i | 0.0839947 | + | 0.0603288i | ||||
\(731\) | 3.18378 | + | 1.83816i | 0.117756 | + | 0.0679867i | ||||
\(732\) | 8.56192 | − | 11.4125i | 0.316458 | − | 0.421817i | ||||
\(733\) | 0.500074 | − | 1.86630i | 0.0184707 | − | 0.0689334i | −0.956075 | − | 0.293121i | \(-0.905306\pi\) |
0.974546 | + | 0.224188i | \(0.0719728\pi\) | |||||||
\(734\) | −11.0502 | −0.407872 | ||||||||
\(735\) | −17.5158 | + | 20.6929i | −0.646080 | + | 0.763270i | ||||
\(736\) | −5.69412 | −0.209888 | ||||||||
\(737\) | −5.17132 | + | 19.2996i | −0.190488 | + | 0.710911i | ||||
\(738\) | 0.121607 | + | 5.60141i | 0.00447640 | + | 0.206191i | ||||
\(739\) | 9.70996 | + | 5.60605i | 0.357187 | + | 0.206222i | 0.667846 | − | 0.744299i | \(-0.267216\pi\) |
−0.310659 | + | 0.950521i | \(0.600550\pi\) | |||||||
\(740\) | 14.2218 | − | 2.33206i | 0.522803 | − | 0.0857284i | ||||
\(741\) | 27.0807 | + | 34.5102i | 0.994835 | + | 1.26776i | ||||
\(742\) | 17.0412 | − | 4.93787i | 0.625601 | − | 0.181275i | ||||
\(743\) | −11.6014 | + | 11.6014i | −0.425613 | + | 0.425613i | −0.887131 | − | 0.461518i | \(-0.847305\pi\) |
0.461518 | + | 0.887131i | \(0.347305\pi\) | |||||||
\(744\) | −0.681646 | + | 1.69752i | −0.0249904 | + | 0.0622340i | ||||
\(745\) | 26.2784 | + | 2.61720i | 0.962767 | + | 0.0958866i | ||||
\(746\) | 29.7084 | + | 17.1522i | 1.08770 | + | 0.627985i | ||||
\(747\) | 35.2491 | + | 19.3434i | 1.28970 | + | 0.707737i | ||||
\(748\) | 2.17335 | + | 2.17335i | 0.0794655 | + | 0.0794655i | ||||
\(749\) | −0.571594 | − | 28.2401i | −0.0208856 | − | 1.03187i | ||||
\(750\) | −18.0715 | + | 6.95838i | −0.659880 | + | 0.254084i | ||||
\(751\) | −6.85013 | − | 11.8648i | −0.249965 | − | 0.432952i | 0.713551 | − | 0.700603i | \(-0.247086\pi\) |
−0.963516 | + | 0.267652i | \(0.913752\pi\) | |||||||
\(752\) | 10.7419 | − | 2.87830i | 0.391718 | − | 0.104961i | ||||
\(753\) | −18.5429 | + | 24.7165i | −0.675741 | + | 0.900718i | ||||
\(754\) | 28.9629 | − | 16.7217i | 1.05476 | − | 0.608969i | ||||
\(755\) | 7.97904 | + | 17.6614i | 0.290387 | + | 0.642765i | ||||
\(756\) | −7.78184 | + | 11.3333i | −0.283023 | + | 0.412187i | ||||
\(757\) | 28.3749 | − | 28.3749i | 1.03130 | − | 1.03130i | 0.0318111 | − | 0.999494i | \(-0.489873\pi\) |
0.999494 | − | 0.0318111i | \(-0.0101275\pi\) | |||||||
\(758\) | 16.6244 | + | 4.45450i | 0.603826 | + | 0.161795i | ||||
\(759\) | −2.95376 | − | 20.6976i | −0.107215 | − | 0.751275i | ||||
\(760\) | 7.73002 | + | 9.44008i | 0.280397 | + | 0.342428i | ||||
\(761\) | −4.58035 | + | 2.64447i | −0.166038 | + | 0.0958618i | −0.580716 | − | 0.814106i | \(-0.697227\pi\) |
0.414679 | + | 0.909968i | \(0.363894\pi\) | |||||||
\(762\) | 3.31099 | − | 27.4483i | 0.119945 | − | 0.994347i | ||||
\(763\) | 22.0139 | + | 5.42361i | 0.796956 | + | 0.196348i | ||||
\(764\) | −0.747866 | −0.0270569 | ||||||||
\(765\) | −9.69689 | − | 0.753612i | −0.350592 | − | 0.0272469i | ||||
\(766\) | 9.51372 | − | 16.4782i | 0.343745 | − | 0.595383i | ||||
\(767\) | 23.6417 | − | 6.33477i | 0.853652 | − | 0.228735i | ||||
\(768\) | −1.59292 | + | 0.680155i | −0.0574795 | + | 0.0245430i | ||||
\(769\) | − | 0.931143i | − | 0.0335779i | −0.999859 | − | 0.0167889i | \(-0.994656\pi\) | ||
0.999859 | − | 0.0167889i | \(-0.00534434\pi\) | |||||||
\(770\) | −5.39365 | − | 11.3223i | −0.194374 | − | 0.408027i | ||||
\(771\) | −1.35903 | + | 1.06645i | −0.0489442 | + | 0.0384073i | ||||
\(772\) | 8.94254 | + | 2.39615i | 0.321849 | + | 0.0862392i | ||||
\(773\) | −2.98432 | − | 11.1376i | −0.107339 | − | 0.400593i | 0.891261 | − | 0.453490i | \(-0.149821\pi\) |
−0.998600 | + | 0.0528969i | \(0.983155\pi\) | |||||||
\(774\) | −5.49428 | − | 5.26078i | −0.197488 | − | 0.189095i | ||||
\(775\) | 5.17690 | + | 1.04152i | 0.185960 | + | 0.0374124i | ||||
\(776\) | 12.2102i | 0.438320i | ||||||||
\(777\) | −23.9795 | − | 17.2428i | −0.860259 | − | 0.618583i | ||||
\(778\) | 26.0463 | + | 26.0463i | 0.933804 | + | 0.933804i | ||||
\(779\) | −5.09524 | − | 8.82522i | −0.182556 | − | 0.316196i | ||||
\(780\) | 9.64141 | + | 15.1724i | 0.345218 | + | 0.543259i | ||||
\(781\) | −1.86483 | + | 3.22999i | −0.0667290 | + | 0.115578i | ||||
\(782\) | −2.13677 | + | 7.97452i | −0.0764106 | + | 0.285168i | ||||
\(783\) | 13.1939 | − | 35.0377i | 0.471510 | − | 1.25215i | ||||
\(784\) | 6.19884 | + | 3.25183i | 0.221387 | + | 0.116137i | ||||
\(785\) | −36.5187 | − | 13.7902i | −1.30341 | − | 0.492195i | ||||
\(786\) | −3.73703 | + | 9.30639i | −0.133295 | + | 0.331948i | ||||
\(787\) | 5.10495 | + | 19.0519i | 0.181972 | + | 0.679129i | 0.995258 | + | 0.0972652i | \(0.0310095\pi\) |
−0.813287 | + | 0.581863i | \(0.802324\pi\) | |||||||
\(788\) | −0.993307 | − | 3.70707i | −0.0353851 | − | 0.132059i | ||||
\(789\) | 11.1402 | − | 27.7426i | 0.396601 | − | 0.987663i | ||||
\(790\) | 33.4341 | + | 12.6254i | 1.18953 | + | 0.449192i | ||||
\(791\) | 12.8594 | − | 23.3521i | 0.457229 | − | 0.830307i | ||||
\(792\) | −3.29861 | − | 5.43729i | −0.117211 | − | 0.193206i | ||||
\(793\) | −9.89542 | + | 36.9302i | −0.351397 | + | 1.31143i | ||||
\(794\) | −10.0114 | + | 17.3402i | −0.355291 | + | 0.615382i | ||||
\(795\) | −13.9295 | − | 21.9205i | −0.494029 | − | 0.777438i | ||||
\(796\) | −2.80297 | − | 4.85488i | −0.0993485 | − | 0.172077i | ||||
\(797\) | 13.9935 | + | 13.9935i | 0.495674 | + | 0.495674i | 0.910088 | − | 0.414414i | \(-0.136014\pi\) |
−0.414414 | + | 0.910088i | \(0.636014\pi\) | |||||||
\(798\) | 2.49157 | − | 24.8805i | 0.0882006 | − | 0.880760i | ||||
\(799\) | − | 16.1240i | − | 0.570426i | ||||||
\(800\) | 2.76876 | + | 4.16341i | 0.0978904 | + | 0.147199i | ||||
\(801\) | 0.829645 | − | 0.866467i | 0.0293140 | − | 0.0306151i | ||||
\(802\) | 2.69219 | + | 10.0474i | 0.0950645 | + | 0.354786i | ||||
\(803\) | 2.55867 | + | 0.685594i | 0.0902936 | + | 0.0241941i | ||||
\(804\) | −12.8429 | + | 10.0780i | −0.452935 | + | 0.355425i | ||||
\(805\) | 19.0941 | − | 27.7529i | 0.672977 | − | 0.978161i | ||||
\(806\) | − | 4.90205i | − | 0.172667i | ||||||
\(807\) | 44.0300 | − | 18.8002i | 1.54993 | − | 0.661799i | ||||
\(808\) | −4.27164 | + | 1.14458i | −0.150276 | + | 0.0402662i | ||||
\(809\) | 12.8197 | − | 22.2044i | 0.450717 | − | 0.780666i | −0.547713 | − | 0.836666i | \(-0.684502\pi\) |
0.998431 | + | 0.0560005i | \(0.0178349\pi\) | |||||||
\(810\) | 19.1178 | + | 6.28569i | 0.671731 | + | 0.220857i | ||||
\(811\) | −11.0170 | −0.386858 | −0.193429 | − | 0.981114i | \(-0.561961\pi\) | ||||
−0.193429 | + | 0.981114i | \(0.561961\pi\) | |||||||
\(812\) | −18.5098 | − | 4.56031i | −0.649567 | − | 0.160035i | ||||
\(813\) | 1.06418 | − | 8.82215i | 0.0373226 | − | 0.309406i | ||||
\(814\) | 11.8324 | − | 6.83143i | 0.414725 | − | 0.239441i | ||||
\(815\) | 7.38625 | + | 9.02026i | 0.258729 | + | 0.315966i | ||||
\(816\) | 0.354790 | + | 2.48609i | 0.0124201 | + | 0.0870305i | ||||
\(817\) | 13.3641 | + | 3.58089i | 0.467550 | + | 0.125280i | ||||
\(818\) | 10.9439 | − | 10.9439i | 0.382644 | − | 0.382644i | ||||
\(819\) | 8.03460 | − | 35.9543i | 0.280752 | − | 1.25634i | ||||
\(820\) | −1.71932 | − | 3.80568i | −0.0600413 | − | 0.132900i | ||||
\(821\) | 13.0985 | − | 7.56242i | 0.457141 | − | 0.263930i | −0.253700 | − | 0.967283i | \(-0.581648\pi\) |
0.710841 | + | 0.703352i | \(0.248314\pi\) | |||||||
\(822\) | −11.6490 | + | 15.5274i | −0.406306 | + | 0.541579i | ||||
\(823\) | −39.6086 | + | 10.6131i | −1.38067 | + | 0.369949i | −0.871364 | − | 0.490637i | \(-0.836764\pi\) |
−0.509305 | + | 0.860586i | \(0.670097\pi\) | |||||||
\(824\) | −5.35360 | − | 9.27271i | −0.186502 | − | 0.323030i | ||||
\(825\) | −13.6973 | + | 12.2239i | −0.476880 | + | 0.425581i | ||||
\(826\) | −12.2211 | − | 6.72983i | −0.425225 | − | 0.234161i | ||||
\(827\) | −25.1800 | − | 25.1800i | −0.875596 | − | 0.875596i | 0.117480 | − | 0.993075i | \(-0.462518\pi\) |
−0.993075 | + | 0.117480i | \(0.962518\pi\) | |||||||
\(828\) | 8.21808 | − | 14.9757i | 0.285598 | − | 0.520440i | ||||
\(829\) | −25.3933 | − | 14.6608i | −0.881944 | − | 0.509191i | −0.0106454 | − | 0.999943i | \(-0.503389\pi\) |
−0.871299 | + | 0.490752i | \(0.836722\pi\) | |||||||
\(830\) | −29.8216 | − | 2.97008i | −1.03512 | − | 0.103093i | ||||
\(831\) | 17.7793 | − | 44.2762i | 0.616757 | − | 1.53592i | ||||
\(832\) | 3.28206 | − | 3.28206i | 0.113785 | − | 0.113785i | ||||
\(833\) | 6.88029 | − | 7.46108i | 0.238388 | − | 0.258511i | ||||
\(834\) | 21.5276 | + | 27.4337i | 0.745441 | + | 0.949950i | ||||
\(835\) | 18.7067 | − | 3.06749i | 0.647371 | − | 0.106155i | ||||
\(836\) | 10.0175 | + | 5.78358i | 0.346461 | + | 0.200029i | ||||
\(837\) | −3.48072 | − | 4.24270i | −0.120311 | − | 0.146649i | ||||
\(838\) | −3.85925 | + | 14.4029i | −0.133316 | + | 0.497541i | ||||
\(839\) | 20.2876 | 0.700407 | 0.350203 | − | 0.936674i | \(-0.386112\pi\) | ||||
0.350203 | + | 0.936674i | \(0.386112\pi\) | |||||||
\(840\) | 2.02648 | − | 10.0446i | 0.0699201 | − | 0.346571i | ||||
\(841\) | 22.9156 | 0.790192 | ||||||||
\(842\) | 4.27808 | − | 15.9660i | 0.147432 | − | 0.550225i | ||||
\(843\) | −20.6670 | + | 27.5478i | −0.711811 | + | 0.948796i | ||||
\(844\) | −12.8559 | − | 7.42239i | −0.442520 | − | 0.255489i | ||||
\(845\) | −15.5170 | − | 11.1450i | −0.533801 | − | 0.383400i | ||||
\(846\) | −7.93340 | + | 32.4057i | −0.272756 | + | 1.11413i | ||||
\(847\) | 12.4157 | + | 11.9230i | 0.426607 | + | 0.409680i | ||||
\(848\) | −4.74179 | + | 4.74179i | −0.162834 | + | 0.162834i | ||||
\(849\) | −8.50444 | − | 3.41500i | −0.291872 | − | 0.117202i | ||||
\(850\) | 6.86978 | − | 2.31524i | 0.235631 | − | 0.0794122i | ||||
\(851\) | 31.7825 | + | 18.3496i | 1.08949 | + | 0.629018i | ||||
\(852\) | −2.80255 | + | 1.19665i | −0.0960138 | + | 0.0409966i | ||||
\(853\) | −7.01032 | − | 7.01032i | −0.240029 | − | 0.240029i | 0.576833 | − | 0.816862i | \(-0.304288\pi\) |
−0.816862 | + | 0.576833i | \(0.804288\pi\) | |||||||
\(854\) | 18.6493 | − | 11.2764i | 0.638165 | − | 0.385871i | ||||
\(855\) | −35.9840 | + | 6.70568i | −1.23063 | + | 0.229329i | ||||
\(856\) | 5.33798 | + | 9.24565i | 0.182448 | + | 0.316010i | ||||
\(857\) | 20.2170 | − | 5.41712i | 0.690599 | − | 0.185045i | 0.103583 | − | 0.994621i | \(-0.466969\pi\) |
0.587016 | + | 0.809575i | \(0.300303\pi\) | |||||||
\(858\) | 13.6325 | + | 10.2275i | 0.465407 | + | 0.349160i | ||||
\(859\) | −11.7809 | + | 6.80172i | −0.401960 | + | 0.232072i | −0.687329 | − | 0.726346i | \(-0.741217\pi\) |
0.285369 | + | 0.958418i | \(0.407884\pi\) | |||||||
\(860\) | 5.30417 | + | 2.00297i | 0.180871 | + | 0.0683006i | ||||
\(861\) | −3.02775 | + | 8.00484i | −0.103186 | + | 0.272804i | ||||
\(862\) | 5.38941 | − | 5.38941i | 0.183564 | − | 0.183564i | ||||
\(863\) | −45.3947 | − | 12.1635i | −1.54525 | − | 0.414050i | −0.617296 | − | 0.786731i | \(-0.711772\pi\) |
−0.927959 | + | 0.372681i | \(0.878438\pi\) | |||||||
\(864\) | 0.510166 | − | 5.17105i | 0.0173562 | − | 0.175923i | ||||
\(865\) | −8.67305 | + | 7.10194i | −0.294892 | + | 0.241473i | ||||
\(866\) | 9.72591 | − | 5.61526i | 0.330500 | − | 0.190814i | ||||
\(867\) | −25.6181 | − | 3.09022i | −0.870036 | − | 0.104949i | ||||
\(868\) | −1.93544 | + | 2.01541i | −0.0656932 | + | 0.0684075i | ||||
\(869\) | 33.8814 | 1.14935 | ||||||||
\(870\) | 1.18523 | + | 27.8806i | 0.0401832 | + | 0.945241i | ||||
\(871\) | 21.8739 | − | 37.8867i | 0.741169 | − | 1.28374i | ||||
\(872\) | −8.27727 | + | 2.21789i | −0.280304 | + | 0.0751072i | ||||
\(873\) | −32.1130 | − | 17.6224i | −1.08686 | − | 0.596428i | ||||
\(874\) | 31.0701i | 1.05096i | ||||||||
\(875\) | −29.5767 | − | 0.466331i | −0.999876 | − | 0.0157649i | ||||
\(876\) | 1.33611 | + | 1.70267i | 0.0451430 | + | 0.0575278i | ||||
\(877\) | −21.4208 | − | 5.73970i | −0.723330 | − | 0.193816i | −0.121673 | − | 0.992570i | \(-0.538826\pi\) |
−0.601657 | + | 0.798754i | \(0.705493\pi\) | |||||||
\(878\) | −3.43925 | − | 12.8355i | −0.116069 | − | 0.433176i | ||||
\(879\) | −51.7458 | + | 7.38465i | −1.74534 | + | 0.249078i | ||||
\(880\) | 3.85003 | + | 2.76526i | 0.129784 | + | 0.0932170i | ||||
\(881\) | − | 44.7263i | − | 1.50687i | −0.657525 | − | 0.753433i | \(-0.728396\pi\) | ||
0.657525 | − | 0.753433i | \(-0.271604\pi\) | |||||||
\(882\) | −17.4989 | + | 11.6099i | −0.589218 | + | 0.390924i | ||||
\(883\) | −3.98957 | − | 3.98957i | −0.134260 | − | 0.134260i | 0.636783 | − | 0.771043i | \(-0.280265\pi\) |
−0.771043 | + | 0.636783i | \(0.780265\pi\) | |||||||
\(884\) | −3.36485 | − | 5.82809i | −0.113172 | − | 0.196020i | ||||
\(885\) | −4.44322 | + | 19.9338i | −0.149357 | + | 0.670066i | ||||
\(886\) | 12.2753 | − | 21.2615i | 0.412398 | − | 0.714295i | ||||
\(887\) | 7.97169 | − | 29.7508i | 0.267663 | − | 0.998933i | −0.692937 | − | 0.720998i | \(-0.743683\pi\) |
0.960600 | − | 0.277935i | \(-0.0896499\pi\) | |||||||
\(888\) | 11.0829 | + | 1.33689i | 0.371919 | + | 0.0448632i | ||||
\(889\) | 20.3715 | − | 36.9937i | 0.683239 | − | 1.24073i | ||||
\(890\) | −0.315875 | + | 0.836486i | −0.0105882 | + | 0.0280391i | ||||
\(891\) | 19.0609 | − | 0.828014i | 0.638565 | − | 0.0277395i | ||||
\(892\) | −1.84042 | − | 6.86854i | −0.0616218 | − | 0.229976i | ||||
\(893\) | −15.7055 | − | 58.6137i | −0.525564 | − | 1.96143i | ||||
\(894\) | 18.9826 | + | 7.62255i | 0.634873 | + | 0.254936i | ||||
\(895\) | 7.44939 | + | 16.4891i | 0.249006 | + | 0.551169i | ||||
\(896\) | −2.64521 | + | 0.0535403i | −0.0883702 | + | 0.00178865i | ||||
\(897\) | −5.48220 | + | 45.4478i | −0.183045 | + | 1.51746i | ||||
\(898\) | 1.53622 | − | 5.73324i | 0.0512642 | − | 0.191321i | ||||
\(899\) | 3.80482 | − | 6.59015i | 0.126898 | − | 0.219794i | ||||
\(900\) | −14.9459 | + | 1.27303i | −0.498196 | + | 0.0424343i | ||||
\(901\) | 4.86140 | + | 8.42019i | 0.161957 | + | 0.280517i | ||||
\(902\) | −2.79946 | − | 2.79946i | −0.0932119 | − | 0.0932119i | ||||
\(903\) | −4.77816 | − | 10.5916i | −0.159007 | − | 0.352467i | ||||
\(904\) | 10.0761i | 0.335124i | ||||||||
\(905\) | −13.9505 | + | 19.4231i | −0.463731 | + | 0.645645i | ||||
\(906\) | 2.12085 | + | 14.8612i | 0.0704605 | + | 0.493732i | ||||
\(907\) | 6.18534 | + | 23.0840i | 0.205381 | + | 0.766491i | 0.989333 | + | 0.145670i | \(0.0465339\pi\) |
−0.783952 | + | 0.620821i | \(0.786799\pi\) | |||||||
\(908\) | 11.2410 | + | 3.01201i | 0.373045 | + | 0.0999570i | ||||
\(909\) | 3.15479 | − | 12.8864i | 0.104638 | − | 0.427415i | ||||
\(910\) | 4.99090 | + | 27.0023i | 0.165447 | + | 0.895119i | ||||
\(911\) | 27.2518i | 0.902892i | 0.892298 | + | 0.451446i | \(0.149092\pi\) | ||||
−0.892298 | + | 0.451446i | \(0.850908\pi\) | |||||||
\(912\) | 3.71128 | + | 8.69180i | 0.122893 | + | 0.287814i | ||||
\(913\) | −27.4438 | + | 7.35353i | −0.908256 | + | 0.243366i | ||||
\(914\) | −5.20657 | + | 9.01804i | −0.172218 | + | 0.298290i | ||||
\(915\) | −23.4961 | − | 21.5799i | −0.776756 | − | 0.713408i | ||||
\(916\) | −4.13598 | −0.136657 | ||||||||
\(917\) | −10.6108 | + | 11.0492i | −0.350399 | + | 0.364876i | ||||
\(918\) | −7.05051 | − | 2.65495i | −0.232702 | − | 0.0876266i | ||||
\(919\) | 8.37600 | − | 4.83589i | 0.276299 | − | 0.159521i | −0.355448 | − | 0.934696i | \(-0.615672\pi\) |
0.631747 | + | 0.775175i | \(0.282338\pi\) | |||||||
\(920\) | −1.26184 | + | 12.6698i | −0.0416018 | + | 0.417710i | ||||
\(921\) | 43.3078 | − | 6.18046i | 1.42704 | − | 0.203653i | ||||
\(922\) | 31.6082 | + | 8.46938i | 1.04096 | + | 0.278924i | ||||
\(923\) | 5.77440 | − | 5.77440i | 0.190067 | − | 0.190067i | ||||
\(924\) | −1.56678 | − | 9.58731i | −0.0515434 | − | 0.315400i | ||||
\(925\) | −2.03737 | − | 32.1611i | −0.0669883 | − | 1.05745i | ||||
\(926\) | −8.08325 | + | 4.66687i | −0.265632 | + | 0.153363i | ||||
\(927\) | 32.1140 | − | 0.697195i | 1.05476 | − | 0.0228989i | ||||
\(928\) | 6.95973 | − | 1.86485i | 0.228464 | − | 0.0612169i | ||||
\(929\) | 15.3159 | + | 26.5279i | 0.502499 | + | 0.870353i | 0.999996 | + | 0.00288755i | \(0.000919138\pi\) |
−0.497497 | + | 0.867466i | \(0.665748\pi\) | |||||||
\(930\) | 3.62602 | + | 1.89288i | 0.118902 | + | 0.0620700i | ||||
\(931\) | 17.7437 | − | 33.8241i | 0.581526 | − | 1.10854i | ||||
\(932\) | −16.0542 | − | 16.0542i | −0.525874 | − | 0.525874i | ||||
\(933\) | 10.3609 | + | 24.2652i | 0.339202 | + | 0.794408i | ||||
\(934\) | −0.696241 | − | 0.401975i | −0.0227817 | − | 0.0131530i | ||||
\(935\) | 5.31745 | − | 4.35421i | 0.173899 | − | 0.142398i | ||||
\(936\) | 3.89504 | + | 13.3688i | 0.127313 | + | 0.436971i | ||||
\(937\) | −0.818219 | + | 0.818219i | −0.0267300 | + | 0.0267300i | −0.720345 | − | 0.693615i | \(-0.756017\pi\) |
0.693615 | + | 0.720345i | \(0.256017\pi\) | |||||||
\(938\) | −23.9517 | + | 6.94027i | −0.782051 | + | 0.226608i | ||||
\(939\) | −31.0840 | + | 24.3921i | −1.01439 | + | 0.796007i | ||||
\(940\) | −4.02392 | − | 24.5393i | −0.131246 | − | 0.800384i | ||||
\(941\) | −39.7684 | − | 22.9603i | −1.29641 | − | 0.748484i | −0.316630 | − | 0.948549i | \(-0.602551\pi\) |
−0.979783 | + | 0.200065i | \(0.935885\pi\) | |||||||
\(942\) | −24.1869 | − | 18.1456i | −0.788053 | − | 0.591217i | ||||
\(943\) | 2.75234 | − | 10.2719i | 0.0896285 | − | 0.334498i | ||||
\(944\) | 5.27318 | 0.171627 | ||||||||
\(945\) | 23.4927 | + | 19.8266i | 0.764218 | + | 0.644958i | ||||
\(946\) | 5.37514 | 0.174761 | ||||||||
\(947\) | −8.20271 | + | 30.6129i | −0.266552 | + | 0.994787i | 0.694741 | + | 0.719260i | \(0.255519\pi\) |
−0.961293 | + | 0.275527i | \(0.911148\pi\) | |||||||
\(948\) | 22.1439 | + | 16.6129i | 0.719201 | + | 0.539563i | ||||
\(949\) | −5.02288 | − | 2.89996i | −0.163050 | − | 0.0941367i | ||||
\(950\) | 22.7177 | − | 15.1078i | 0.737061 | − | 0.490162i | ||||
\(951\) | −6.73797 | + | 5.28739i | −0.218494 | + | 0.171456i | ||||
\(952\) | −0.917654 | + | 3.72466i | −0.0297413 | + | 0.120717i | ||||
\(953\) | 12.7159 | − | 12.7159i | 0.411908 | − | 0.411908i | −0.470495 | − | 0.882403i | \(-0.655924\pi\) |
0.882403 | + | 0.470495i | \(0.155924\pi\) | |||||||
\(954\) | −5.62740 | − | 19.3146i | −0.182194 | − | 0.625335i | ||||
\(955\) | −0.165731 | + | 1.66405i | −0.00536292 | + | 0.0538473i | ||||
\(956\) | 9.19360 | + | 5.30793i | 0.297342 | + | 0.171671i | ||||
\(957\) | 10.3889 | + | 24.3306i | 0.335824 | + | 0.786497i | ||||
\(958\) | −12.0027 | − | 12.0027i | −0.387789 | − | 0.387789i | ||||
\(959\) | −25.3735 | + | 15.3422i | −0.819352 | + | 0.495427i | ||||
\(960\) | 1.16039 | + | 3.69506i | 0.0374514 | + | 0.119258i | ||||
\(961\) | 14.9423 | + | 25.8808i | 0.482010 | + | 0.834865i | ||||
\(962\) | −28.8959 | + | 7.74264i | −0.931642 | + | 0.249633i | ||||
\(963\) | −32.0203 | + | 0.695160i | −1.03184 | + | 0.0224012i | ||||
\(964\) | −17.4304 | + | 10.0635i | −0.561396 | + | 0.324122i | ||||
\(965\) | 7.31327 | − | 19.3667i | 0.235423 | − | 0.623436i | ||||
\(966\) | 20.1978 | − | 16.5207i | 0.649852 | − | 0.531545i | ||||
\(967\) | −3.87679 | + | 3.87679i | −0.124669 | + | 0.124669i | −0.766688 | − | 0.642019i | \(-0.778097\pi\) |
0.642019 | + | 0.766688i | \(0.278097\pi\) | |||||||
\(968\) | −6.28443 | − | 1.68391i | −0.201989 | − | 0.0541229i | ||||
\(969\) | 13.5654 | − | 1.93592i | 0.435783 | − | 0.0621907i | ||||
\(970\) | 27.1684 | + | 2.70583i | 0.872324 | + | 0.0868790i | ||||
\(971\) | −9.52298 | + | 5.49809i | −0.305607 | + | 0.176442i | −0.644959 | − | 0.764217i | \(-0.723126\pi\) |
0.339352 | + | 0.940659i | \(0.389792\pi\) | |||||||
\(972\) | 12.8637 | + | 8.80489i | 0.412602 | + | 0.282417i | ||||
\(973\) | 14.8251 | + | 51.1630i | 0.475270 | + | 1.64021i | ||||
\(974\) | 15.9920 | 0.512416 | ||||||||
\(975\) | 35.8960 | − | 18.0904i | 1.14959 | − | 0.579358i | ||||
\(976\) | −4.11857 | + | 7.13357i | −0.131832 | + | 0.228340i | ||||
\(977\) | −45.8432 | + | 12.2836i | −1.46665 | + | 0.392988i | −0.901782 | − | 0.432191i | \(-0.857741\pi\) |
−0.564870 | + | 0.825180i | \(0.691074\pi\) | |||||||
\(978\) | 3.54624 | + | 8.30526i | 0.113396 | + | 0.265573i | ||||
\(979\) | 0.847678i | 0.0270919i | ||||||||
\(980\) | 8.60921 | − | 13.0722i | 0.275011 | − | 0.417575i | ||||
\(981\) | 6.11313 | − | 24.9704i | 0.195177 | − | 0.797243i | ||||
\(982\) | 6.64162 | + | 1.77962i | 0.211942 | + | 0.0567898i | ||||
\(983\) | −7.87919 | − | 29.4055i | −0.251307 | − | 0.937891i | −0.970108 | − | 0.242675i | \(-0.921975\pi\) |
0.718801 | − | 0.695216i | \(-0.244691\pi\) | |||||||
\(984\) | −0.457000 | − | 3.20230i | −0.0145686 | − | 0.102085i | ||||
\(985\) | −8.46858 | + | 1.38866i | −0.269831 | + | 0.0442465i | ||||
\(986\) | − | 10.4468i | − | 0.332693i | ||||||
\(987\) | −29.7520 | + | 41.3760i | −0.947018 | + | 1.31701i | ||||
\(988\) | −17.9087 | − | 17.9087i | −0.569750 | − | 0.569750i | ||||
\(989\) | 7.21898 | + | 12.5036i | 0.229550 | + | 0.397593i | ||||
\(990\) | −12.8293 | + | 6.13467i | −0.407741 | + | 0.194973i | ||||
\(991\) | 7.93677 | − | 13.7469i | 0.252120 | − | 0.436684i | −0.711989 | − | 0.702190i | \(-0.752206\pi\) |
0.964109 | + | 0.265506i | \(0.0855389\pi\) | |||||||
\(992\) | 0.273346 | − | 1.02014i | 0.00867873 | − | 0.0323895i | ||||
\(993\) | −0.0490178 | + | 0.406360i | −0.00155553 | + | 0.0128954i | ||||
\(994\) | −4.65393 | + | 0.0941977i | −0.147614 | + | 0.00298777i | ||||
\(995\) | −11.4236 | + | 5.16090i | −0.362151 | + | 0.163612i | ||||
\(996\) | −21.5421 | − | 8.65032i | −0.682587 | − | 0.274096i | ||||
\(997\) | −7.23598 | − | 27.0051i | −0.229166 | − | 0.855259i | −0.980693 | − | 0.195556i | \(-0.937349\pi\) |
0.751527 | − | 0.659703i | \(-0.229318\pi\) | |||||||
\(998\) | 8.02080 | + | 29.9340i | 0.253894 | + | 0.947545i | ||||
\(999\) | −19.5116 | + | 27.2189i | −0.617318 | + | 0.861166i |
(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 | 210.2.x.a.53.7 | yes | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.53.14 | yes | 64 | |
5.2 | odd | 4 | inner | 210.2.x.a.137.7 | yes | 64 | |
7.2 | even | 3 | inner | 210.2.x.a.23.10 | yes | 64 | |
15.2 | even | 4 | inner | 210.2.x.a.137.10 | yes | 64 | |
21.2 | odd | 6 | inner | 210.2.x.a.23.7 | ✓ | 64 | |
35.2 | odd | 12 | inner | 210.2.x.a.107.14 | yes | 64 | |
105.2 | even | 12 | inner | 210.2.x.a.107.7 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.7 | ✓ | 64 | 21.2 | odd | 6 | inner | |
210.2.x.a.23.10 | yes | 64 | 7.2 | even | 3 | inner | |
210.2.x.a.53.7 | yes | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.53.14 | yes | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.107.7 | yes | 64 | 105.2 | even | 12 | inner | |
210.2.x.a.107.14 | yes | 64 | 35.2 | odd | 12 | inner | |
210.2.x.a.137.7 | yes | 64 | 5.2 | odd | 4 | inner | |
210.2.x.a.137.10 | yes | 64 | 15.2 | even | 4 | inner |