Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
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, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (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: | \(5.72208555157\) |
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 | 17.14 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | 2.39979 | − | 1.80027i | 0.799931 | − | 0.600092i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −2.39011 | + | 4.39174i | −0.478021 | + | 0.878348i | ||||
\(6\) | 3.93713 | − | 1.58084i | 0.656188 | − | 0.263473i | ||||
\(7\) | 6.65191 | + | 2.17994i | 0.950273 | + | 0.311419i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | 2.51802 | − | 8.64058i | 0.279780 | − | 0.960064i | ||||
\(10\) | −4.87243 | + | 5.12439i | −0.487243 | + | 0.512439i | ||||
\(11\) | 5.82368 | + | 3.36230i | 0.529425 | + | 0.305664i | 0.740782 | − | 0.671745i | \(-0.234455\pi\) |
−0.211357 | + | 0.977409i | \(0.567788\pi\) | |||||||
\(12\) | 5.95684 | − | 0.718373i | 0.496403 | − | 0.0598644i | ||||
\(13\) | −3.78650 | − | 3.78650i | −0.291269 | − | 0.291269i | 0.546312 | − | 0.837582i | \(-0.316031\pi\) |
−0.837582 | + | 0.546312i | \(0.816031\pi\) | |||||||
\(14\) | 8.28876 | + | 5.41262i | 0.592055 | + | 0.386615i | ||||
\(15\) | 2.17058 | + | 14.8421i | 0.144705 | + | 0.989475i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −3.69500 | + | 0.990073i | −0.217353 | + | 0.0582396i | −0.365852 | − | 0.930673i | \(-0.619222\pi\) |
0.148499 | + | 0.988913i | \(0.452556\pi\) | |||||||
\(18\) | 6.60235 | − | 10.8816i | 0.366797 | − | 0.604533i | ||||
\(19\) | 2.17576 | + | 3.76853i | 0.114514 | + | 0.198344i | 0.917585 | − | 0.397539i | \(-0.130136\pi\) |
−0.803072 | + | 0.595883i | \(0.796802\pi\) | |||||||
\(20\) | −8.53153 | + | 5.21661i | −0.426576 | + | 0.260831i | ||||
\(21\) | 19.8877 | − | 6.74386i | 0.947033 | − | 0.321136i | ||||
\(22\) | 6.72461 | + | 6.72461i | 0.305664 | + | 0.305664i | ||||
\(23\) | 3.48168 | − | 12.9938i | 0.151377 | − | 0.564948i | −0.848011 | − | 0.529979i | \(-0.822200\pi\) |
0.999388 | − | 0.0349695i | \(-0.0111334\pi\) | |||||||
\(24\) | 8.40014 | + | 1.19904i | 0.350006 | + | 0.0499600i | ||||
\(25\) | −13.5748 | − | 20.9935i | −0.542991 | − | 0.839738i | ||||
\(26\) | −3.78650 | − | 6.55841i | −0.145635 | − | 0.252247i | ||||
\(27\) | −9.51267 | − | 25.2687i | −0.352321 | − | 0.935879i | ||||
\(28\) | 9.34151 | + | 10.4277i | 0.333625 | + | 0.372417i | ||||
\(29\) | −19.0062 | −0.655386 | −0.327693 | − | 0.944784i | \(-0.606271\pi\) | ||||
−0.327693 | + | 0.944784i | \(0.606271\pi\) | |||||||
\(30\) | −2.46753 | + | 21.0692i | −0.0822510 | + | 0.702307i | ||||
\(31\) | 0.140971 | + | 0.0813895i | 0.00454744 | + | 0.00262547i | 0.502272 | − | 0.864710i | \(-0.332498\pi\) |
−0.497725 | + | 0.867335i | \(0.665831\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 20.0287 | − | 2.41539i | 0.606930 | − | 0.0731936i | ||||
\(34\) | −5.40986 | −0.159114 | ||||||||
\(35\) | −25.4725 | + | 24.0032i | −0.727785 | + | 0.685805i | ||||
\(36\) | 13.0019 | − | 12.4479i | 0.361164 | − | 0.345775i | ||||
\(37\) | 13.9748 | − | 52.1548i | 0.377698 | − | 1.40959i | −0.471664 | − | 0.881779i | \(-0.656346\pi\) |
0.849362 | − | 0.527811i | \(-0.176987\pi\) | |||||||
\(38\) | 1.59277 | + | 5.94429i | 0.0419149 | + | 0.156429i | ||||
\(39\) | −15.9036 | − | 2.27008i | −0.407784 | − | 0.0582072i | ||||
\(40\) | −13.5637 | + | 4.00327i | −0.339092 | + | 0.100082i | ||||
\(41\) | −64.3886 | −1.57045 | −0.785226 | − | 0.619209i | \(-0.787453\pi\) | ||||
−0.785226 | + | 0.619209i | \(0.787453\pi\) | |||||||
\(42\) | 29.6355 | − | 1.93289i | 0.705608 | − | 0.0460211i | ||||
\(43\) | −49.3467 | + | 49.3467i | −1.14760 | + | 1.14760i | −0.160573 | + | 0.987024i | \(0.551334\pi\) |
−0.987024 | + | 0.160573i | \(0.948666\pi\) | |||||||
\(44\) | 6.72461 | + | 11.6474i | 0.152832 | + | 0.264713i | ||||
\(45\) | 31.9288 | + | 31.7104i | 0.709530 | + | 0.704676i | ||||
\(46\) | 9.51213 | − | 16.4755i | 0.206785 | − | 0.358163i | ||||
\(47\) | −8.05536 | + | 30.0630i | −0.171391 | + | 0.639638i | 0.825748 | + | 0.564040i | \(0.190753\pi\) |
−0.997138 | + | 0.0755987i | \(0.975913\pi\) | |||||||
\(48\) | 11.0359 | + | 4.71258i | 0.229915 | + | 0.0981788i | ||||
\(49\) | 39.4958 | + | 29.0015i | 0.806036 | + | 0.591867i | ||||
\(50\) | −10.8594 | − | 33.6463i | −0.217187 | − | 0.672926i | ||||
\(51\) | −7.08484 | + | 9.02799i | −0.138919 | + | 0.177019i | ||||
\(52\) | −2.77191 | − | 10.3449i | −0.0533060 | − | 0.198941i | ||||
\(53\) | 79.5945 | − | 21.3273i | 1.50178 | − | 0.402402i | 0.588086 | − | 0.808798i | \(-0.299882\pi\) |
0.913697 | + | 0.406397i | \(0.133215\pi\) | |||||||
\(54\) | −3.74555 | − | 37.9996i | −0.0693621 | − | 0.703697i | ||||
\(55\) | −28.6856 | + | 17.5398i | −0.521556 | + | 0.318906i | ||||
\(56\) | 8.94394 | + | 17.6637i | 0.159713 | + | 0.315423i | ||||
\(57\) | 12.0058 | + | 5.12672i | 0.210627 | + | 0.0899425i | ||||
\(58\) | −25.9629 | − | 6.95675i | −0.447637 | − | 0.119944i | ||||
\(59\) | 1.10247 | + | 0.636510i | 0.0186859 | + | 0.0107883i | 0.509314 | − | 0.860581i | \(-0.329899\pi\) |
−0.490628 | + | 0.871369i | \(0.663233\pi\) | |||||||
\(60\) | −11.0826 | + | 27.8779i | −0.184710 | + | 0.464631i | ||||
\(61\) | −88.4000 | + | 51.0378i | −1.44918 | + | 0.836685i | −0.998433 | − | 0.0559667i | \(-0.982176\pi\) |
−0.450748 | + | 0.892651i | \(0.648843\pi\) | |||||||
\(62\) | 0.162779 | + | 0.162779i | 0.00262547 | + | 0.00262547i | ||||
\(63\) | 35.5856 | − | 51.9872i | 0.564850 | − | 0.825193i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | 25.6795 | − | 7.57919i | 0.395069 | − | 0.116603i | ||||
\(66\) | 28.2438 | + | 4.03153i | 0.427936 | + | 0.0610838i | ||||
\(67\) | −98.3650 | + | 26.3568i | −1.46813 | + | 0.393386i | −0.902291 | − | 0.431127i | \(-0.858116\pi\) |
−0.565844 | + | 0.824513i | \(0.691449\pi\) | |||||||
\(68\) | −7.39001 | − | 1.98015i | −0.108677 | − | 0.0291198i | ||||
\(69\) | −15.0371 | − | 37.4504i | −0.217929 | − | 0.542760i | ||||
\(70\) | −43.5818 | + | 23.4654i | −0.622598 | + | 0.335220i | ||||
\(71\) | − | 119.115i | − | 1.67768i | −0.544376 | − | 0.838841i | \(-0.683233\pi\) | ||
0.544376 | − | 0.838841i | \(-0.316767\pi\) | |||||||
\(72\) | 22.3172 | − | 12.2451i | 0.309961 | − | 0.170071i | ||||
\(73\) | −68.2204 | + | 18.2796i | −0.934526 | + | 0.250405i | −0.693783 | − | 0.720184i | \(-0.744058\pi\) |
−0.240742 | + | 0.970589i | \(0.577391\pi\) | |||||||
\(74\) | 38.1800 | − | 66.1296i | 0.515945 | − | 0.893644i | ||||
\(75\) | −70.3707 | − | 25.9416i | −0.938276 | − | 0.345889i | ||||
\(76\) | 8.70304i | 0.114514i | ||||||||
\(77\) | 31.4090 | + | 35.0610i | 0.407909 | + | 0.455337i | ||||
\(78\) | −20.8938 | − | 8.92209i | −0.267869 | − | 0.114386i | ||||
\(79\) | 89.1596 | − | 51.4763i | 1.12860 | − | 0.651599i | 0.185020 | − | 0.982735i | \(-0.440765\pi\) |
0.943583 | + | 0.331136i | \(0.107432\pi\) | |||||||
\(80\) | −19.9937 | + | 0.503911i | −0.249921 | + | 0.00629889i | ||||
\(81\) | −68.3191 | − | 43.5143i | −0.843446 | − | 0.537214i | ||||
\(82\) | −87.9564 | − | 23.5678i | −1.07264 | − | 0.287413i | ||||
\(83\) | 21.3161 | − | 21.3161i | 0.256821 | − | 0.256821i | −0.566939 | − | 0.823760i | \(-0.691873\pi\) |
0.823760 | + | 0.566939i | \(0.191873\pi\) | |||||||
\(84\) | 41.1904 | + | 8.20698i | 0.490361 | + | 0.0977021i | ||||
\(85\) | 4.48331 | − | 18.5939i | 0.0527448 | − | 0.218752i | ||||
\(86\) | −85.4709 | + | 49.3467i | −0.993848 | + | 0.573799i | ||||
\(87\) | −45.6109 | + | 34.2163i | −0.524263 | + | 0.393291i | ||||
\(88\) | 4.92275 | + | 18.3720i | 0.0559404 | + | 0.208772i | ||||
\(89\) | 83.4011 | − | 48.1516i | 0.937091 | − | 0.541030i | 0.0480436 | − | 0.998845i | \(-0.484701\pi\) |
0.889047 | + | 0.457816i | \(0.151368\pi\) | |||||||
\(90\) | 32.0088 | + | 55.0040i | 0.355653 | + | 0.611155i | ||||
\(91\) | −16.9331 | − | 33.4418i | −0.186078 | − | 0.367492i | ||||
\(92\) | 19.0243 | − | 19.0243i | 0.206785 | − | 0.206785i | ||||
\(93\) | 0.484824 | − | 0.0584680i | 0.00521316 | − | 0.000628688i | ||||
\(94\) | −22.0076 | + | 38.1184i | −0.234124 | + | 0.405514i | ||||
\(95\) | −21.7507 | + | 0.548195i | −0.228955 | + | 0.00577047i | ||||
\(96\) | 13.3504 | + | 10.4769i | 0.139067 | + | 0.109135i | ||||
\(97\) | −37.6895 | + | 37.6895i | −0.388552 | + | 0.388552i | −0.874171 | − | 0.485619i | \(-0.838594\pi\) |
0.485619 | + | 0.874171i | \(0.338594\pi\) | |||||||
\(98\) | 43.3369 | + | 54.0732i | 0.442214 | + | 0.551767i | ||||
\(99\) | 43.7164 | − | 41.8536i | 0.441580 | − | 0.422764i | ||||
\(100\) | −2.51876 | − | 49.9365i | −0.0251876 | − | 0.499365i | ||||
\(101\) | −11.4760 | + | 19.8770i | −0.113624 | + | 0.196802i | −0.917229 | − | 0.398361i | \(-0.869579\pi\) |
0.803605 | + | 0.595163i | \(0.202913\pi\) | |||||||
\(102\) | −12.9826 | + | 9.73923i | −0.127280 | + | 0.0954827i | ||||
\(103\) | 21.7638 | − | 81.2236i | 0.211299 | − | 0.788578i | −0.776138 | − | 0.630563i | \(-0.782824\pi\) |
0.987437 | − | 0.158015i | \(-0.0505094\pi\) | |||||||
\(104\) | − | 15.1460i | − | 0.145635i | ||||||
\(105\) | −17.9164 | + | 103.460i | −0.170632 | + | 0.985335i | ||||
\(106\) | 116.534 | 1.09938 | ||||||||
\(107\) | 106.956 | + | 28.6588i | 0.999591 | + | 0.267840i | 0.721274 | − | 0.692650i | \(-0.243557\pi\) |
0.278317 | + | 0.960489i | \(0.410224\pi\) | |||||||
\(108\) | 8.79230 | − | 53.2794i | 0.0814102 | − | 0.493328i | ||||
\(109\) | 76.8368 | + | 44.3618i | 0.704925 | + | 0.406989i | 0.809179 | − | 0.587562i | \(-0.199912\pi\) |
−0.104254 | + | 0.994551i | \(0.533245\pi\) | |||||||
\(110\) | −45.6053 | + | 13.4602i | −0.414593 | + | 0.122366i | ||||
\(111\) | −60.3562 | − | 150.319i | −0.543750 | − | 1.35423i | ||||
\(112\) | 5.75230 | + | 27.4028i | 0.0513598 | + | 0.244667i | ||||
\(113\) | 96.4512 | + | 96.4512i | 0.853551 | + | 0.853551i | 0.990569 | − | 0.137018i | \(-0.0437517\pi\) |
−0.137018 | + | 0.990569i | \(0.543752\pi\) | |||||||
\(114\) | 14.5237 | + | 11.3977i | 0.127401 | + | 0.0999794i | ||||
\(115\) | 48.7439 | + | 46.3472i | 0.423860 | + | 0.403019i | ||||
\(116\) | −32.9197 | − | 19.0062i | −0.283790 | − | 0.163846i | ||||
\(117\) | −42.2520 | + | 23.1830i | −0.361128 | + | 0.198146i | ||||
\(118\) | 1.27302 | + | 1.27302i | 0.0107883 | + | 0.0107883i | ||||
\(119\) | −26.7371 | − | 1.46899i | −0.224682 | − | 0.0123445i | ||||
\(120\) | −25.3431 | + | 34.0254i | −0.211192 | + | 0.283545i | ||||
\(121\) | −37.8898 | − | 65.6271i | −0.313139 | − | 0.542373i | ||||
\(122\) | −139.438 | + | 37.3622i | −1.14293 | + | 0.306248i | ||||
\(123\) | −154.519 | + | 115.917i | −1.25625 | + | 0.942415i | ||||
\(124\) | 0.162779 | + | 0.281942i | 0.00131273 | + | 0.00227372i | ||||
\(125\) | 124.643 | − | 9.44033i | 0.997144 | − | 0.0755227i | ||||
\(126\) | 67.6394 | − | 57.9906i | 0.536821 | − | 0.460243i | ||||
\(127\) | 150.961 | + | 150.961i | 1.18867 | + | 1.18867i | 0.977436 | + | 0.211232i | \(0.0677477\pi\) |
0.211232 | + | 0.977436i | \(0.432252\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −29.5843 | + | 207.259i | −0.229336 | + | 1.60666i | ||||
\(130\) | 37.8530 | − | 0.954029i | 0.291177 | − | 0.00733869i | ||||
\(131\) | −81.2787 | − | 140.779i | −0.620448 | − | 1.07465i | −0.989402 | − | 0.145200i | \(-0.953617\pi\) |
0.368954 | − | 0.929448i | \(-0.379716\pi\) | |||||||
\(132\) | 37.1061 | + | 15.8451i | 0.281107 | + | 0.120039i | ||||
\(133\) | 6.25781 | + | 29.8109i | 0.0470512 | + | 0.224142i | ||||
\(134\) | −144.016 | −1.07475 | ||||||||
\(135\) | 133.710 | + | 18.6178i | 0.990445 | + | 0.137909i | ||||
\(136\) | −9.37015 | − | 5.40986i | −0.0688982 | − | 0.0397784i | ||||
\(137\) | 49.3770 | + | 184.278i | 0.360416 | + | 1.34509i | 0.873529 | + | 0.486771i | \(0.161825\pi\) |
−0.513113 | + | 0.858321i | \(0.671508\pi\) | |||||||
\(138\) | −6.83326 | − | 56.6622i | −0.0495163 | − | 0.410596i | ||||
\(139\) | −66.3531 | −0.477360 | −0.238680 | − | 0.971098i | \(-0.576715\pi\) | ||||
−0.238680 | + | 0.971098i | \(0.576715\pi\) | |||||||
\(140\) | −68.1228 | + | 16.1022i | −0.486592 | + | 0.115016i | ||||
\(141\) | 34.7905 | + | 86.6468i | 0.246741 | + | 0.614517i | ||||
\(142\) | 43.5993 | − | 162.715i | 0.307037 | − | 1.14588i | ||||
\(143\) | −9.32000 | − | 34.7827i | −0.0651748 | − | 0.243236i | ||||
\(144\) | 34.9679 | − | 8.55846i | 0.242833 | − | 0.0594338i | ||||
\(145\) | 45.4268 | − | 83.4702i | 0.313288 | − | 0.575657i | ||||
\(146\) | −99.8816 | −0.684120 | ||||||||
\(147\) | 146.992 | − | 1.50566i | 0.999948 | − | 0.0102426i | ||||
\(148\) | 76.3599 | − | 76.3599i | 0.515945 | − | 0.515945i | ||||
\(149\) | −23.3448 | − | 40.4345i | −0.156677 | − | 0.271372i | 0.776992 | − | 0.629511i | \(-0.216745\pi\) |
−0.933668 | + | 0.358139i | \(0.883411\pi\) | |||||||
\(150\) | −86.6328 | − | 61.1944i | −0.577552 | − | 0.407963i | ||||
\(151\) | 95.0699 | − | 164.666i | 0.629602 | − | 1.09050i | −0.358029 | − | 0.933710i | \(-0.616551\pi\) |
0.987632 | − | 0.156793i | \(-0.0501154\pi\) | |||||||
\(152\) | −3.18553 | + | 11.8886i | −0.0209575 | + | 0.0782143i | ||||
\(153\) | −0.749301 | + | 34.4200i | −0.00489739 | + | 0.224967i | ||||
\(154\) | 30.0722 | + | 59.3907i | 0.195274 | + | 0.385654i | ||||
\(155\) | −0.694377 | + | 0.424578i | −0.00447985 | + | 0.00273921i | ||||
\(156\) | −25.2757 | − | 19.8355i | −0.162024 | − | 0.127150i | ||||
\(157\) | 58.8702 | + | 219.707i | 0.374969 | + | 1.39940i | 0.853390 | + | 0.521274i | \(0.174543\pi\) |
−0.478420 | + | 0.878131i | \(0.658790\pi\) | |||||||
\(158\) | 140.636 | − | 37.6833i | 0.890101 | − | 0.238502i | ||||
\(159\) | 152.615 | − | 194.473i | 0.959845 | − | 1.22310i | ||||
\(160\) | −27.4963 | − | 6.62983i | −0.171852 | − | 0.0414364i | ||||
\(161\) | 51.4855 | − | 78.8438i | 0.319786 | − | 0.489713i | ||||
\(162\) | −77.3983 | − | 84.4482i | −0.477767 | − | 0.521285i | ||||
\(163\) | 113.940 | + | 30.5302i | 0.699021 | + | 0.187302i | 0.590792 | − | 0.806824i | \(-0.298815\pi\) |
0.108229 | + | 0.994126i | \(0.465482\pi\) | |||||||
\(164\) | −111.524 | − | 64.3886i | −0.680026 | − | 0.392613i | ||||
\(165\) | −37.2630 | + | 93.7339i | −0.225836 | + | 0.568084i | ||||
\(166\) | 36.9206 | − | 21.3161i | 0.222413 | − | 0.128410i | ||||
\(167\) | −56.9075 | − | 56.9075i | −0.340764 | − | 0.340764i | 0.515891 | − | 0.856654i | \(-0.327461\pi\) |
−0.856654 | + | 0.515891i | \(0.827461\pi\) | |||||||
\(168\) | 53.2631 | + | 26.2877i | 0.317042 | + | 0.156474i | ||||
\(169\) | − | 140.325i | − | 0.830324i | ||||||
\(170\) | 12.9301 | − | 23.7587i | 0.0760597 | − | 0.139757i | ||||
\(171\) | 38.0409 | − | 9.31059i | 0.222461 | − | 0.0544479i | ||||
\(172\) | −134.818 | + | 36.1243i | −0.783823 | + | 0.210025i | ||||
\(173\) | 264.119 | + | 70.7704i | 1.52670 | + | 0.409078i | 0.921940 | − | 0.387332i | \(-0.126603\pi\) |
0.604758 | + | 0.796409i | \(0.293270\pi\) | |||||||
\(174\) | −74.8297 | + | 30.0456i | −0.430056 | + | 0.172676i | ||||
\(175\) | −44.5338 | − | 169.239i | −0.254479 | − | 0.967078i | ||||
\(176\) | 26.8984i | 0.152832i | ||||||||
\(177\) | 3.79159 | − | 0.457251i | 0.0214214 | − | 0.00258334i | ||||
\(178\) | 131.553 | − | 35.2494i | 0.739060 | − | 0.198031i | ||||
\(179\) | −83.4294 | + | 144.504i | −0.466086 | + | 0.807285i | −0.999250 | − | 0.0387273i | \(-0.987670\pi\) |
0.533164 | + | 0.846012i | \(0.321003\pi\) | |||||||
\(180\) | 23.5920 | + | 86.8529i | 0.131066 | + | 0.482516i | ||||
\(181\) | 214.129i | 1.18303i | 0.806293 | + | 0.591516i | \(0.201470\pi\) | ||||
−0.806293 | + | 0.591516i | \(0.798530\pi\) | |||||||
\(182\) | −10.8905 | − | 51.8803i | −0.0598381 | − | 0.285056i | ||||
\(183\) | −120.260 | + | 281.624i | −0.657157 | + | 1.53893i | ||||
\(184\) | 32.9510 | − | 19.0243i | 0.179081 | − | 0.103393i | ||||
\(185\) | 195.649 | + | 186.029i | 1.05756 | + | 1.00556i | ||||
\(186\) | 0.683683 | + | 0.0975892i | 0.00367572 | + | 0.000524673i | ||||
\(187\) | −24.8474 | − | 6.65785i | −0.132874 | − | 0.0356035i | ||||
\(188\) | −44.0153 | + | 44.0153i | −0.234124 | + | 0.234124i | ||||
\(189\) | −8.19320 | − | 188.822i | −0.0433502 | − | 0.999060i | ||||
\(190\) | −29.9127 | − | 7.21246i | −0.157435 | − | 0.0379603i | ||||
\(191\) | 81.4585 | − | 47.0301i | 0.426484 | − | 0.246231i | −0.271363 | − | 0.962477i | \(-0.587475\pi\) |
0.697848 | + | 0.716246i | \(0.254141\pi\) | |||||||
\(192\) | 14.4022 | + | 19.1984i | 0.0750114 | + | 0.0999914i | ||||
\(193\) | −8.62307 | − | 32.1818i | −0.0446791 | − | 0.166745i | 0.939981 | − | 0.341226i | \(-0.110842\pi\) |
−0.984661 | + | 0.174481i | \(0.944175\pi\) | |||||||
\(194\) | −65.2801 | + | 37.6895i | −0.336496 | + | 0.194276i | ||||
\(195\) | 47.9808 | − | 64.4186i | 0.246055 | − | 0.330352i | ||||
\(196\) | 39.4072 | + | 89.7278i | 0.201057 | + | 0.457795i | ||||
\(197\) | −15.6791 | + | 15.6791i | −0.0795891 | + | 0.0795891i | −0.745781 | − | 0.666192i | \(-0.767923\pi\) |
0.666192 | + | 0.745781i | \(0.267923\pi\) | |||||||
\(198\) | 75.0372 | − | 41.1718i | 0.378976 | − | 0.207938i | ||||
\(199\) | −34.1697 | + | 59.1837i | −0.171707 | + | 0.297405i | −0.939017 | − | 0.343871i | \(-0.888262\pi\) |
0.767310 | + | 0.641277i | \(0.221595\pi\) | |||||||
\(200\) | 14.8374 | − | 69.1365i | 0.0741868 | − | 0.345682i | ||||
\(201\) | −188.606 | + | 240.335i | −0.938340 | + | 1.19570i | ||||
\(202\) | −22.9520 | + | 22.9520i | −0.113624 | + | 0.113624i | ||||
\(203\) | −126.427 | − | 41.4323i | −0.622795 | − | 0.204100i | ||||
\(204\) | −21.2993 | + | 8.55210i | −0.104408 | + | 0.0419221i | ||||
\(205\) | 153.896 | − | 282.778i | 0.750710 | − | 1.37940i | ||||
\(206\) | 59.4598 | − | 102.987i | 0.288640 | − | 0.499939i | ||||
\(207\) | −103.507 | − | 62.8024i | −0.500034 | − | 0.303393i | ||||
\(208\) | 5.54382 | − | 20.6898i | 0.0266530 | − | 0.0994703i | ||||
\(209\) | 29.2623i | 0.140011i | ||||||||
\(210\) | −62.3433 | + | 134.771i | −0.296873 | + | 0.641768i | ||||
\(211\) | 96.2506 | 0.456164 | 0.228082 | − | 0.973642i | \(-0.426755\pi\) | ||||
0.228082 | + | 0.973642i | \(0.426755\pi\) | |||||||
\(212\) | 159.189 | + | 42.6546i | 0.750891 | + | 0.201201i | ||||
\(213\) | −214.441 | − | 285.853i | −1.00676 | − | 1.34203i | ||||
\(214\) | 135.615 | + | 78.2974i | 0.633715 | + | 0.365876i | ||||
\(215\) | −98.7740 | − | 334.662i | −0.459414 | − | 1.55657i | ||||
\(216\) | 31.5121 | − | 69.5628i | 0.145889 | − | 0.322050i | ||||
\(217\) | 0.760301 | + | 0.848703i | 0.00350369 | + | 0.00391107i | ||||
\(218\) | 88.7235 | + | 88.7235i | 0.406989 | + | 0.406989i | ||||
\(219\) | −130.807 | + | 166.683i | −0.597290 | + | 0.761108i | ||||
\(220\) | −67.2247 | + | 1.69430i | −0.305567 | + | 0.00770137i | ||||
\(221\) | 17.7400 | + | 10.2422i | 0.0802717 | + | 0.0463449i | ||||
\(222\) | −27.4275 | − | 227.432i | −0.123547 | − | 1.02447i | ||||
\(223\) | 112.186 | + | 112.186i | 0.503075 | + | 0.503075i | 0.912392 | − | 0.409317i | \(-0.134233\pi\) |
−0.409317 | + | 0.912392i | \(0.634233\pi\) | |||||||
\(224\) | −2.17232 | + | 39.5383i | −0.00969787 | + | 0.176510i | ||||
\(225\) | −215.577 | + | 64.4319i | −0.958121 | + | 0.286364i | ||||
\(226\) | 96.4512 | + | 167.058i | 0.426775 | + | 0.739197i | ||||
\(227\) | −225.570 | + | 60.4414i | −0.993702 | + | 0.266262i | −0.718805 | − | 0.695212i | \(-0.755311\pi\) |
−0.274897 | + | 0.961474i | \(0.588644\pi\) | |||||||
\(228\) | 15.6679 | + | 20.8855i | 0.0687187 | + | 0.0916031i | ||||
\(229\) | −90.9875 | − | 157.595i | −0.397326 | − | 0.688188i | 0.596069 | − | 0.802933i | \(-0.296728\pi\) |
−0.993395 | + | 0.114745i | \(0.963395\pi\) | |||||||
\(230\) | 49.6211 | + | 81.1530i | 0.215744 | + | 0.352839i | ||||
\(231\) | 138.494 | + | 27.5943i | 0.599543 | + | 0.119456i | ||||
\(232\) | −38.0124 | − | 38.0124i | −0.163846 | − | 0.163846i | ||||
\(233\) | 3.87883 | − | 14.4760i | 0.0166473 | − | 0.0621286i | −0.957103 | − | 0.289749i | \(-0.906428\pi\) |
0.973750 | + | 0.227621i | \(0.0730947\pi\) | |||||||
\(234\) | −66.2029 | + | 16.2033i | −0.282919 | + | 0.0692449i | ||||
\(235\) | −112.776 | − | 107.231i | −0.479897 | − | 0.456301i | ||||
\(236\) | 1.27302 | + | 2.20493i | 0.00539415 | + | 0.00934294i | ||||
\(237\) | 121.293 | − | 284.044i | 0.511786 | − | 1.19850i | ||||
\(238\) | −35.9859 | − | 11.7932i | −0.151201 | − | 0.0495511i | ||||
\(239\) | −373.492 | −1.56273 | −0.781365 | − | 0.624075i | \(-0.785476\pi\) | ||||
−0.781365 | + | 0.624075i | \(0.785476\pi\) | |||||||
\(240\) | −47.0735 | + | 37.2033i | −0.196139 | + | 0.155014i | ||||
\(241\) | −91.8906 | − | 53.0531i | −0.381289 | − | 0.220137i | 0.297090 | − | 0.954849i | \(-0.403984\pi\) |
−0.678379 | + | 0.734712i | \(0.737317\pi\) | |||||||
\(242\) | −27.7373 | − | 103.517i | −0.114617 | − | 0.427756i | ||||
\(243\) | −242.290 | + | 18.5677i | −0.997076 | + | 0.0764103i | ||||
\(244\) | −204.151 | −0.836685 | ||||||||
\(245\) | −221.766 | + | 104.139i | −0.905167 | + | 0.425055i | ||||
\(246\) | −253.506 | + | 101.788i | −1.03051 | + | 0.413771i | ||||
\(247\) | 6.03101 | − | 22.5080i | 0.0244171 | − | 0.0911257i | ||||
\(248\) | 0.119163 | + | 0.444721i | 0.000480494 | + | 0.00179323i | ||||
\(249\) | 12.7794 | − | 89.5291i | 0.0513230 | − | 0.359555i | ||||
\(250\) | 173.721 | + | 32.7268i | 0.694884 | + | 0.130907i | ||||
\(251\) | 171.959 | 0.685097 | 0.342548 | − | 0.939500i | \(-0.388710\pi\) | ||||
0.342548 | + | 0.939500i | \(0.388710\pi\) | |||||||
\(252\) | 113.623 | − | 54.4589i | 0.450886 | − | 0.216107i | ||||
\(253\) | 63.9653 | − | 63.9653i | 0.252827 | − | 0.252827i | ||||
\(254\) | 150.961 | + | 261.472i | 0.594334 | + | 1.02942i | ||||
\(255\) | −22.7151 | − | 52.6927i | −0.0890787 | − | 0.206638i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −25.0505 | + | 93.4896i | −0.0974726 | + | 0.363773i | −0.997383 | − | 0.0723027i | \(-0.976965\pi\) |
0.899910 | + | 0.436075i | \(0.143632\pi\) | |||||||
\(258\) | −116.275 | + | 272.293i | −0.450679 | + | 1.05540i | ||||
\(259\) | 206.653 | − | 316.465i | 0.797890 | − | 1.22187i | ||||
\(260\) | 52.0573 | + | 12.5519i | 0.200220 | + | 0.0482766i | ||||
\(261\) | −47.8580 | + | 164.224i | −0.183364 | + | 0.629212i | ||||
\(262\) | −59.5001 | − | 222.057i | −0.227100 | − | 0.847548i | ||||
\(263\) | −370.341 | + | 99.2327i | −1.40814 | + | 0.377311i | −0.881262 | − | 0.472629i | \(-0.843305\pi\) |
−0.526881 | + | 0.849939i | \(0.676638\pi\) | |||||||
\(264\) | 44.8882 | + | 35.2266i | 0.170031 | + | 0.133434i | ||||
\(265\) | −96.5754 | + | 400.533i | −0.364436 | + | 1.51144i | ||||
\(266\) | −2.36323 | + | 43.0130i | −0.00888431 | + | 0.161703i | ||||
\(267\) | 113.459 | − | 265.699i | 0.424941 | − | 0.995127i | ||||
\(268\) | −196.730 | − | 52.7137i | −0.734067 | − | 0.196693i | ||||
\(269\) | 359.720 | + | 207.684i | 1.33725 | + | 0.772061i | 0.986399 | − | 0.164370i | \(-0.0525593\pi\) |
0.350850 | + | 0.936432i | \(0.385893\pi\) | |||||||
\(270\) | 175.837 | + | 74.3736i | 0.651247 | + | 0.275458i | ||||
\(271\) | −148.971 | + | 86.0086i | −0.549710 | + | 0.317375i | −0.749005 | − | 0.662564i | \(-0.769468\pi\) |
0.199295 | + | 0.979940i | \(0.436135\pi\) | |||||||
\(272\) | −10.8197 | − | 10.8197i | −0.0397784 | − | 0.0397784i | ||||
\(273\) | −100.840 | − | 49.7691i | −0.369379 | − | 0.182304i | ||||
\(274\) | 269.801i | 0.984676i | ||||||||
\(275\) | −8.46882 | − | 167.902i | −0.0307957 | − | 0.610552i | ||||
\(276\) | 11.4054 | − | 79.9032i | 0.0413240 | − | 0.289504i | ||||
\(277\) | 212.684 | − | 56.9885i | 0.767812 | − | 0.205735i | 0.146407 | − | 0.989224i | \(-0.453229\pi\) |
0.621405 | + | 0.783490i | \(0.286562\pi\) | |||||||
\(278\) | −90.6400 | − | 24.2869i | −0.326043 | − | 0.0873630i | ||||
\(279\) | 1.05822 | − | 1.01313i | 0.00379290 | − | 0.00363128i | ||||
\(280\) | −98.9513 | − | 2.93860i | −0.353398 | − | 0.0104950i | ||||
\(281\) | 151.432i | 0.538902i | 0.963014 | + | 0.269451i | \(0.0868423\pi\) | ||||
−0.963014 | + | 0.269451i | \(0.913158\pi\) | |||||||
\(282\) | 15.8097 | + | 131.096i | 0.0560627 | + | 0.464879i | ||||
\(283\) | −25.9365 | + | 6.94966i | −0.0916484 | + | 0.0245571i | −0.304352 | − | 0.952560i | \(-0.598440\pi\) |
0.212703 | + | 0.977117i | \(0.431773\pi\) | |||||||
\(284\) | 119.115 | − | 206.314i | 0.419421 | − | 0.726458i | ||||
\(285\) | −51.2103 | + | 40.4728i | −0.179685 | + | 0.142010i | ||||
\(286\) | − | 50.9254i | − | 0.178061i | ||||||
\(287\) | −428.307 | − | 140.363i | −1.49236 | − | 0.489069i | ||||
\(288\) | 50.8996 | + | 1.10805i | 0.176735 | + | 0.00384741i | ||||
\(289\) | −237.609 | + | 137.183i | −0.822175 | + | 0.474683i | ||||
\(290\) | 92.6064 | − | 97.3951i | 0.319332 | − | 0.335845i | ||||
\(291\) | −22.5956 | + | 158.299i | −0.0776481 | + | 0.543981i | ||||
\(292\) | −136.441 | − | 36.5592i | −0.467263 | − | 0.125203i | ||||
\(293\) | 272.300 | − | 272.300i | 0.929353 | − | 0.929353i | −0.0683113 | − | 0.997664i | \(-0.521761\pi\) |
0.997664 | + | 0.0683113i | \(0.0217611\pi\) | |||||||
\(294\) | 201.346 | + | 51.7461i | 0.684851 | + | 0.176007i | ||||
\(295\) | −5.43040 | + | 3.32042i | −0.0184081 | + | 0.0112557i | ||||
\(296\) | 132.259 | − | 76.3599i | 0.446822 | − | 0.257973i | ||||
\(297\) | 29.5624 | − | 179.142i | 0.0995367 | − | 0.603170i | ||||
\(298\) | −17.0896 | − | 63.7793i | −0.0573477 | − | 0.214024i | ||||
\(299\) | −62.3844 | + | 36.0177i | −0.208644 | + | 0.120460i | ||||
\(300\) | −95.9439 | − | 115.303i | −0.319813 | − | 0.384343i | ||||
\(301\) | −435.822 | + | 220.677i | −1.44791 | + | 0.733146i | ||||
\(302\) | 190.140 | − | 190.140i | 0.629602 | − | 0.629602i | ||||
\(303\) | 8.24406 | + | 68.3608i | 0.0272081 | + | 0.225613i | ||||
\(304\) | −8.70304 | + | 15.0741i | −0.0286284 | + | 0.0495859i | ||||
\(305\) | −12.8592 | − | 510.216i | −0.0421615 | − | 1.67284i | ||||
\(306\) | −13.6222 | + | 46.7443i | −0.0445168 | + | 0.152759i | ||||
\(307\) | −138.707 | + | 138.707i | −0.451814 | + | 0.451814i | −0.895956 | − | 0.444142i | \(-0.853509\pi\) |
0.444142 | + | 0.895956i | \(0.353509\pi\) | |||||||
\(308\) | 19.3410 | + | 92.1364i | 0.0627953 | + | 0.299144i | ||||
\(309\) | −93.9961 | − | 234.101i | −0.304194 | − | 0.757607i | ||||
\(310\) | −1.10394 | + | 0.325824i | −0.00356110 | + | 0.00105105i | ||||
\(311\) | −106.582 | + | 184.606i | −0.342708 | + | 0.593587i | −0.984935 | − | 0.172927i | \(-0.944677\pi\) |
0.642227 | + | 0.766515i | \(0.278011\pi\) | |||||||
\(312\) | −27.2670 | − | 36.3473i | −0.0873941 | − | 0.116498i | ||||
\(313\) | 57.9840 | − | 216.399i | 0.185252 | − | 0.691371i | −0.809324 | − | 0.587362i | \(-0.800166\pi\) |
0.994576 | − | 0.104009i | \(-0.0331670\pi\) | |||||||
\(314\) | 321.673i | 1.02444i | ||||||||
\(315\) | 143.261 | + | 280.537i | 0.454797 | + | 0.890595i | ||||
\(316\) | 205.905 | 0.651599 | ||||||||
\(317\) | −373.738 | − | 100.143i | −1.17899 | − | 0.315908i | −0.384462 | − | 0.923141i | \(-0.625613\pi\) |
−0.794524 | + | 0.607233i | \(0.792280\pi\) | |||||||
\(318\) | 279.659 | − | 209.794i | 0.879430 | − | 0.659729i | ||||
\(319\) | −110.686 | − | 63.9045i | −0.346978 | − | 0.200328i | ||||
\(320\) | −35.1339 | − | 19.1209i | −0.109794 | − | 0.0597527i | ||||
\(321\) | 308.267 | − | 123.775i | 0.960332 | − | 0.385593i | ||||
\(322\) | 99.1893 | − | 88.8576i | 0.308041 | − | 0.275955i | ||||
\(323\) | −11.7706 | − | 11.7706i | −0.0364414 | − | 0.0364414i | ||||
\(324\) | −74.8178 | − | 143.688i | −0.230919 | − | 0.443482i | ||||
\(325\) | −28.0908 | + | 130.893i | −0.0864333 | + | 0.402747i | ||||
\(326\) | 144.471 | + | 83.4102i | 0.443161 | + | 0.255859i | ||||
\(327\) | 264.256 | − | 31.8683i | 0.808122 | − | 0.0974566i | ||||
\(328\) | −128.777 | − | 128.777i | −0.392613 | − | 0.392613i | ||||
\(329\) | −119.119 | + | 182.416i | −0.362063 | + | 0.554456i | ||||
\(330\) | −85.2112 | + | 114.404i | −0.258216 | + | 0.346678i | ||||
\(331\) | −135.009 | − | 233.842i | −0.407881 | − | 0.706471i | 0.586771 | − | 0.809753i | \(-0.300399\pi\) |
−0.994652 | + | 0.103282i | \(0.967065\pi\) | |||||||
\(332\) | 58.2367 | − | 15.6045i | 0.175412 | − | 0.0470014i | ||||
\(333\) | −415.459 | − | 252.078i | −1.24762 | − | 0.756990i | ||||
\(334\) | −56.9075 | − | 98.5667i | −0.170382 | − | 0.295110i | ||||
\(335\) | 119.351 | − | 494.989i | 0.356270 | − | 1.47758i | ||||
\(336\) | 63.1368 | + | 55.4053i | 0.187907 | + | 0.164897i | ||||
\(337\) | 384.011 | + | 384.011i | 1.13950 | + | 1.13950i | 0.988540 | + | 0.150959i | \(0.0482361\pi\) |
0.150959 | + | 0.988540i | \(0.451764\pi\) | |||||||
\(338\) | 51.3625 | − | 191.687i | 0.151960 | − | 0.567122i | ||||
\(339\) | 405.102 | + | 57.8244i | 1.19499 | + | 0.170573i | ||||
\(340\) | 26.3592 | − | 27.7222i | 0.0775270 | − | 0.0815360i | ||||
\(341\) | 0.547312 | + | 0.947973i | 0.00160502 | + | 0.00277998i | ||||
\(342\) | 55.3727 | + | 1.20543i | 0.161908 | + | 0.00352465i | ||||
\(343\) | 199.501 | + | 279.013i | 0.581635 | + | 0.813450i | ||||
\(344\) | −197.387 | −0.573799 | ||||||||
\(345\) | 200.413 | + | 23.4715i | 0.580907 | + | 0.0680332i | ||||
\(346\) | 334.889 | + | 193.348i | 0.967888 | + | 0.558810i | ||||
\(347\) | 172.277 | + | 642.948i | 0.496477 | + | 1.85288i | 0.521598 | + | 0.853191i | \(0.325336\pi\) |
−0.0251213 | + | 0.999684i | \(0.507997\pi\) | |||||||
\(348\) | −113.217 | + | 13.6535i | −0.325336 | + | 0.0392343i | ||||
\(349\) | 427.589 | 1.22518 | 0.612592 | − | 0.790399i | \(-0.290127\pi\) | ||||
0.612592 | + | 0.790399i | \(0.290127\pi\) | |||||||
\(350\) | 1.11135 | − | 247.485i | 0.00317528 | − | 0.707100i | ||||
\(351\) | −59.6603 | + | 131.700i | −0.169972 | + | 0.375213i | ||||
\(352\) | −9.84551 | + | 36.7439i | −0.0279702 | + | 0.104386i | ||||
\(353\) | 61.2407 | + | 228.554i | 0.173487 | + | 0.647460i | 0.996804 | + | 0.0798800i | \(0.0254537\pi\) |
−0.823318 | + | 0.567580i | \(0.807880\pi\) | |||||||
\(354\) | 5.34677 | + | 0.763200i | 0.0151039 | + | 0.00215593i | ||||
\(355\) | 523.124 | + | 284.699i | 1.47359 | + | 0.801968i | ||||
\(356\) | 192.607 | 0.541030 | ||||||||
\(357\) | −66.8082 | + | 44.6089i | −0.187138 | + | 0.124955i | ||||
\(358\) | −166.859 | + | 166.859i | −0.466086 | + | 0.466086i | ||||
\(359\) | −195.109 | − | 337.939i | −0.543480 | − | 0.941335i | −0.998701 | − | 0.0509562i | \(-0.983773\pi\) |
0.455221 | − | 0.890378i | \(-0.349560\pi\) | |||||||
\(360\) | 0.436858 | + | 127.278i | 0.00121349 | + | 0.353551i | ||||
\(361\) | 171.032 | − | 296.236i | 0.473773 | − | 0.820599i | ||||
\(362\) | −78.3766 | + | 292.505i | −0.216510 | + | 0.808026i | ||||
\(363\) | −209.075 | − | 89.2795i | −0.575963 | − | 0.245949i | ||||
\(364\) | 4.11275 | − | 74.8560i | 0.0112988 | − | 0.205648i | ||||
\(365\) | 82.7747 | − | 343.296i | 0.226780 | − | 0.940538i | ||||
\(366\) | −267.360 | + | 340.688i | −0.730491 | + | 0.930841i | ||||
\(367\) | −183.972 | − | 686.592i | −0.501285 | − | 1.87082i | −0.491513 | − | 0.870870i | \(-0.663556\pi\) |
−0.00977244 | − | 0.999952i | \(-0.503111\pi\) | |||||||
\(368\) | 51.9752 | − | 13.9267i | 0.141237 | − | 0.0378444i | ||||
\(369\) | −162.132 | + | 556.354i | −0.439382 | + | 1.50774i | ||||
\(370\) | 199.170 | + | 325.733i | 0.538298 | + | 0.880361i | ||||
\(371\) | 575.947 | + | 31.6438i | 1.55242 | + | 0.0852932i | ||||
\(372\) | 0.898208 | + | 0.383555i | 0.00241454 | + | 0.00103106i | ||||
\(373\) | −497.049 | − | 133.184i | −1.33257 | − | 0.357062i | −0.478899 | − | 0.877870i | \(-0.658964\pi\) |
−0.853674 | + | 0.520809i | \(0.825631\pi\) | |||||||
\(374\) | −31.5053 | − | 18.1896i | −0.0842388 | − | 0.0486353i | ||||
\(375\) | 282.122 | − | 247.046i | 0.752326 | − | 0.658791i | ||||
\(376\) | −76.2367 | + | 44.0153i | −0.202757 | + | 0.117062i | ||||
\(377\) | 71.9669 | + | 71.9669i | 0.190894 | + | 0.190894i | ||||
\(378\) | 57.9217 | − | 260.935i | 0.153232 | − | 0.690304i | ||||
\(379\) | 19.8509i | 0.0523770i | 0.999657 | + | 0.0261885i | \(0.00833701\pi\) | ||||
−0.999657 | + | 0.0261885i | \(0.991663\pi\) | |||||||
\(380\) | −38.2215 | − | 20.8012i | −0.100583 | − | 0.0547400i | ||||
\(381\) | 634.046 | + | 90.5040i | 1.66416 | + | 0.237543i | ||||
\(382\) | 128.489 | − | 34.4284i | 0.336358 | − | 0.0901268i | ||||
\(383\) | 378.907 | + | 101.528i | 0.989312 | + | 0.265085i | 0.716962 | − | 0.697113i | \(-0.245532\pi\) |
0.272351 | + | 0.962198i | \(0.412199\pi\) | |||||||
\(384\) | 12.6467 | + | 31.4970i | 0.0329341 | + | 0.0820235i | ||||
\(385\) | −229.050 | + | 54.1406i | −0.594934 | + | 0.140625i | ||||
\(386\) | − | 47.1174i | − | 0.122066i | ||||||
\(387\) | 302.128 | + | 550.640i | 0.780692 | + | 1.42284i | ||||
\(388\) | −102.970 | + | 27.5906i | −0.265386 | + | 0.0711099i | ||||
\(389\) | 27.1111 | − | 46.9578i | 0.0696943 | − | 0.120714i | −0.829072 | − | 0.559141i | \(-0.811131\pi\) |
0.898767 | + | 0.438427i | \(0.144464\pi\) | |||||||
\(390\) | 89.1218 | − | 70.4352i | 0.228518 | − | 0.180603i | ||||
\(391\) | 51.4593i | 0.131609i | ||||||||
\(392\) | 20.9886 | + | 136.994i | 0.0535423 | + | 0.349476i | ||||
\(393\) | −448.493 | − | 191.516i | −1.14120 | − | 0.487319i | ||||
\(394\) | −27.1569 | + | 15.6791i | −0.0689262 | + | 0.0397946i | ||||
\(395\) | 12.9697 | + | 514.600i | 0.0328348 | + | 1.30278i | ||||
\(396\) | 117.573 | − | 28.7762i | 0.296901 | − | 0.0726670i | ||||
\(397\) | 594.125 | + | 159.195i | 1.49654 | + | 0.400996i | 0.911939 | − | 0.410327i | \(-0.134585\pi\) |
0.584598 | + | 0.811323i | \(0.301252\pi\) | |||||||
\(398\) | −68.3394 | + | 68.3394i | −0.171707 | + | 0.171707i | ||||
\(399\) | 68.6853 | + | 60.2743i | 0.172144 | + | 0.151063i | ||||
\(400\) | 45.5739 | − | 89.0113i | 0.113935 | − | 0.222528i | ||||
\(401\) | −391.648 | + | 226.118i | −0.976679 | + | 0.563886i | −0.901266 | − | 0.433266i | \(-0.857361\pi\) |
−0.0754133 | + | 0.997152i | \(0.524028\pi\) | |||||||
\(402\) | −345.610 | + | 259.269i | −0.859726 | + | 0.644948i | ||||
\(403\) | −0.225604 | − | 0.841967i | −0.000559812 | − | 0.00208925i | ||||
\(404\) | −39.7541 | + | 22.9520i | −0.0984012 | + | 0.0568119i | ||||
\(405\) | 354.394 | − | 196.036i | 0.875046 | − | 0.484039i | ||||
\(406\) | −157.538 | − | 102.873i | −0.388024 | − | 0.253382i | ||||
\(407\) | 256.745 | − | 256.745i | 0.630824 | − | 0.630824i | ||||
\(408\) | −32.2257 | + | 3.88630i | −0.0789845 | + | 0.00952524i | ||||
\(409\) | 160.349 | − | 277.733i | 0.392052 | − | 0.679054i | −0.600668 | − | 0.799498i | \(-0.705099\pi\) |
0.992720 | + | 0.120445i | \(0.0384321\pi\) | |||||||
\(410\) | 313.729 | − | 329.952i | 0.765193 | − | 0.804761i | ||||
\(411\) | 450.245 | + | 353.336i | 1.09549 | + | 0.859699i | ||||
\(412\) | 118.920 | − | 118.920i | 0.288640 | − | 0.288640i | ||||
\(413\) | 5.94596 | + | 6.63731i | 0.0143970 | + | 0.0160710i | ||||
\(414\) | −118.406 | − | 123.676i | −0.286005 | − | 0.298734i | ||||
\(415\) | 42.6671 | + | 144.563i | 0.102812 | + | 0.348344i | ||||
\(416\) | 15.1460 | − | 26.2336i | 0.0364087 | − | 0.0630616i | ||||
\(417\) | −159.234 | + | 119.454i | −0.381855 | + | 0.286460i | ||||
\(418\) | −10.7107 | + | 39.9730i | −0.0256238 | + | 0.0956292i | ||||
\(419\) | 416.098i | 0.993073i | 0.868016 | + | 0.496537i | \(0.165395\pi\) | ||||
−0.868016 | + | 0.496537i | \(0.834605\pi\) | |||||||
\(420\) | −134.492 | + | 161.282i | −0.320220 | + | 0.384004i | ||||
\(421\) | 86.6033 | 0.205708 | 0.102854 | − | 0.994696i | \(-0.467202\pi\) | ||||
0.102854 | + | 0.994696i | \(0.467202\pi\) | |||||||
\(422\) | 131.481 | + | 35.2302i | 0.311566 | + | 0.0834838i | ||||
\(423\) | 239.478 | + | 145.302i | 0.566142 | + | 0.343504i | ||||
\(424\) | 201.844 | + | 116.534i | 0.476046 | + | 0.274845i | ||||
\(425\) | 70.9439 | + | 64.1309i | 0.166927 | + | 0.150896i | ||||
\(426\) | −188.302 | − | 468.973i | −0.442023 | − | 1.10087i | ||||
\(427\) | −699.288 | + | 146.792i | −1.63768 | + | 0.343776i | ||||
\(428\) | 156.595 | + | 156.595i | 0.365876 | + | 0.365876i | ||||
\(429\) | −84.9845 | − | 66.6928i | −0.198099 | − | 0.155461i | ||||
\(430\) | −12.4332 | − | 493.310i | −0.0289143 | − | 1.14723i | ||||
\(431\) | −306.389 | − | 176.894i | −0.710880 | − | 0.410427i | 0.100507 | − | 0.994936i | \(-0.467954\pi\) |
−0.811387 | + | 0.584510i | \(0.801287\pi\) | |||||||
\(432\) | 68.5081 | − | 83.4903i | 0.158584 | − | 0.193265i | ||||
\(433\) | −184.106 | − | 184.106i | −0.425186 | − | 0.425186i | 0.461799 | − | 0.886985i | \(-0.347204\pi\) |
−0.886985 | + | 0.461799i | \(0.847204\pi\) | |||||||
\(434\) | 0.727943 | + | 1.43764i | 0.00167729 | + | 0.00331253i | ||||
\(435\) | −41.2544 | − | 282.092i | −0.0948376 | − | 0.648488i | ||||
\(436\) | 88.7235 | + | 153.674i | 0.203494 | + | 0.352463i | ||||
\(437\) | 56.5428 | − | 15.1506i | 0.129389 | − | 0.0346696i | ||||
\(438\) | −239.695 | + | 179.814i | −0.547249 | + | 0.410535i | ||||
\(439\) | 151.405 | + | 262.241i | 0.344887 | + | 0.597361i | 0.985333 | − | 0.170642i | \(-0.0545841\pi\) |
−0.640447 | + | 0.768003i | \(0.721251\pi\) | |||||||
\(440\) | −92.4508 | − | 22.2915i | −0.210116 | − | 0.0506625i | ||||
\(441\) | 350.041 | − | 268.240i | 0.793743 | − | 0.608253i | ||||
\(442\) | 20.4844 | + | 20.4844i | 0.0463449 | + | 0.0463449i | ||||
\(443\) | −89.7849 | + | 335.082i | −0.202675 | + | 0.756392i | 0.787471 | + | 0.616352i | \(0.211390\pi\) |
−0.990146 | + | 0.140041i | \(0.955277\pi\) | |||||||
\(444\) | 45.7793 | − | 320.717i | 0.103106 | − | 0.722335i | ||||
\(445\) | 12.1321 | + | 481.364i | 0.0272631 | + | 1.08172i | ||||
\(446\) | 112.186 | + | 194.311i | 0.251538 | + | 0.435676i | ||||
\(447\) | −128.816 | − | 55.0072i | −0.288179 | − | 0.123059i | ||||
\(448\) | −17.4395 | + | 53.2153i | −0.0389274 | + | 0.118784i | ||||
\(449\) | −119.472 | −0.266084 | −0.133042 | − | 0.991110i | \(-0.542475\pi\) | ||||
−0.133042 | + | 0.991110i | \(0.542475\pi\) | |||||||
\(450\) | −318.068 | + | 9.10893i | −0.706817 | + | 0.0202421i | ||||
\(451\) | −374.978 | − | 216.494i | −0.831438 | − | 0.480031i | ||||
\(452\) | 70.6072 | + | 263.510i | 0.156211 | + | 0.582986i | ||||
\(453\) | −68.2957 | − | 566.316i | −0.150763 | − | 1.25015i | ||||
\(454\) | −330.258 | −0.727440 | ||||||||
\(455\) | 187.340 | + | 5.56351i | 0.411735 | + | 0.0122275i | ||||
\(456\) | 13.7581 | + | 34.2650i | 0.0301712 | + | 0.0751425i | ||||
\(457\) | 92.1811 | − | 344.025i | 0.201709 | − | 0.752789i | −0.788718 | − | 0.614755i | \(-0.789255\pi\) |
0.990427 | − | 0.138034i | \(-0.0440784\pi\) | |||||||
\(458\) | −66.6075 | − | 248.583i | −0.145431 | − | 0.542757i | ||||
\(459\) | 60.1673 | + | 83.9498i | 0.131083 | + | 0.182897i | ||||
\(460\) | 38.0796 | + | 129.020i | 0.0827818 | + | 0.280477i | ||||
\(461\) | −621.253 | −1.34762 | −0.673810 | − | 0.738905i | \(-0.735343\pi\) | ||||
−0.673810 | + | 0.738905i | \(0.735343\pi\) | |||||||
\(462\) | 179.087 | + | 88.3871i | 0.387634 | + | 0.191314i | ||||
\(463\) | 26.5760 | − | 26.5760i | 0.0573995 | − | 0.0573995i | −0.677824 | − | 0.735224i | \(-0.737077\pi\) |
0.735224 | + | 0.677824i | \(0.237077\pi\) | |||||||
\(464\) | −38.0124 | − | 65.8393i | −0.0819232 | − | 0.141895i | ||||
\(465\) | −0.902005 | + | 2.26897i | −0.00193980 | + | 0.00487950i | ||||
\(466\) | 10.5971 | − | 18.3548i | 0.0227407 | − | 0.0393880i | ||||
\(467\) | 124.540 | − | 464.791i | 0.266682 | − | 0.995269i | −0.694531 | − | 0.719462i | \(-0.744388\pi\) |
0.961213 | − | 0.275807i | \(-0.0889451\pi\) | |||||||
\(468\) | −96.3657 | − | 2.09782i | −0.205910 | − | 0.00448252i | ||||
\(469\) | −711.771 | − | 39.1062i | −1.51764 | − | 0.0833822i | ||||
\(470\) | −114.805 | − | 187.759i | −0.244267 | − | 0.399487i | ||||
\(471\) | 536.808 | + | 421.268i | 1.13972 | + | 0.894412i | ||||
\(472\) | 0.931915 | + | 3.47795i | 0.00197440 | + | 0.00736855i | ||||
\(473\) | −453.298 | + | 121.461i | −0.958346 | + | 0.256788i | ||||
\(474\) | 269.657 | − | 343.615i | 0.568897 | − | 0.724927i | ||||
\(475\) | 49.5790 | − | 96.8337i | 0.104377 | − | 0.203860i | ||||
\(476\) | −44.8411 | − | 29.2815i | −0.0942039 | − | 0.0615157i | ||||
\(477\) | 16.1408 | − | 741.445i | 0.0338381 | − | 1.55439i | ||||
\(478\) | −510.200 | − | 136.708i | −1.06736 | − | 0.285999i | ||||
\(479\) | −361.804 | − | 208.888i | −0.755331 | − | 0.436091i | 0.0722856 | − | 0.997384i | \(-0.476971\pi\) |
−0.827617 | + | 0.561293i | \(0.810304\pi\) | |||||||
\(480\) | −77.9209 | + | 33.5906i | −0.162335 | + | 0.0699805i | ||||
\(481\) | −250.400 | + | 144.568i | −0.520582 | + | 0.300558i | ||||
\(482\) | −106.106 | − | 106.106i | −0.220137 | − | 0.220137i | ||||
\(483\) | −18.3859 | − | 281.897i | −0.0380660 | − | 0.583637i | ||||
\(484\) | − | 151.559i | − | 0.313139i | ||||||
\(485\) | −75.4406 | − | 255.604i | −0.155548 | − | 0.527020i | ||||
\(486\) | −337.770 | − | 63.3202i | −0.695000 | − | 0.130288i | ||||
\(487\) | −387.966 | + | 103.955i | −0.796645 | + | 0.213460i | −0.634110 | − | 0.773243i | \(-0.718633\pi\) |
−0.162534 | + | 0.986703i | \(0.551967\pi\) | |||||||
\(488\) | −278.876 | − | 74.7245i | −0.571466 | − | 0.153124i | ||||
\(489\) | 328.396 | − | 131.858i | 0.671567 | − | 0.269648i | ||||
\(490\) | −341.055 | + | 61.0839i | −0.696031 | + | 0.124661i | ||||
\(491\) | 451.546i | 0.919646i | 0.888011 | + | 0.459823i | \(0.152087\pi\) | ||||
−0.888011 | + | 0.459823i | \(0.847913\pi\) | |||||||
\(492\) | −383.552 | + | 46.2550i | −0.779578 | + | 0.0940142i | ||||
\(493\) | 70.2279 | − | 18.8175i | 0.142450 | − | 0.0381694i | ||||
\(494\) | 16.4770 | − | 28.5391i | 0.0333543 | − | 0.0577714i | ||||
\(495\) | 79.3233 | + | 292.026i | 0.160249 | + | 0.589951i | ||||
\(496\) | 0.651116i | 0.00131273i | ||||||||
\(497\) | 259.664 | − | 792.345i | 0.522463 | − | 1.59426i | ||||
\(498\) | 50.2270 | − | 117.621i | 0.100857 | − | 0.236188i | ||||
\(499\) | −731.784 | + | 422.496i | −1.46650 | + | 0.846685i | −0.999298 | − | 0.0374644i | \(-0.988072\pi\) |
−0.467204 | + | 0.884150i | \(0.654739\pi\) | |||||||
\(500\) | 225.328 | + | 108.292i | 0.450657 | + | 0.216584i | ||||
\(501\) | −239.015 | − | 34.1172i | −0.477077 | − | 0.0680981i | ||||
\(502\) | 234.901 | + | 62.9415i | 0.467930 | + | 0.125381i | ||||
\(503\) | −140.492 | + | 140.492i | −0.279308 | + | 0.279308i | −0.832833 | − | 0.553525i | \(-0.813282\pi\) |
0.553525 | + | 0.832833i | \(0.313282\pi\) | |||||||
\(504\) | 175.146 | − | 32.8033i | 0.347511 | − | 0.0650858i | ||||
\(505\) | −59.8659 | − | 97.9079i | −0.118546 | − | 0.193877i | ||||
\(506\) | 110.791 | − | 63.9653i | 0.218955 | − | 0.126414i | ||||
\(507\) | −252.623 | − | 336.751i | −0.498271 | − | 0.664203i | ||||
\(508\) | 110.511 | + | 412.433i | 0.217541 | + | 0.811876i | ||||
\(509\) | −378.654 | + | 218.616i | −0.743918 | + | 0.429501i | −0.823492 | − | 0.567328i | \(-0.807977\pi\) |
0.0795742 | + | 0.996829i | \(0.474644\pi\) | |||||||
\(510\) | −11.7425 | − | 80.2938i | −0.0230245 | − | 0.157439i | ||||
\(511\) | −493.644 | − | 27.1219i | −0.966035 | − | 0.0530761i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 74.5286 | − | 90.8275i | 0.145280 | − | 0.177052i | ||||
\(514\) | −68.4391 | + | 118.540i | −0.133150 | + | 0.230623i | ||||
\(515\) | 304.695 | + | 289.714i | 0.591641 | + | 0.562551i | ||||
\(516\) | −258.501 | + | 329.400i | −0.500971 | + | 0.638371i | ||||
\(517\) | −147.993 | + | 147.993i | −0.286253 | + | 0.286253i | ||||
\(518\) | 398.128 | − | 356.658i | 0.768587 | − | 0.688530i | ||||
\(519\) | 761.237 | − | 305.652i | 1.46674 | − | 0.588925i | ||||
\(520\) | 66.5173 | + | 36.2005i | 0.127918 | + | 0.0696164i | ||||
\(521\) | 490.536 | − | 849.633i | 0.941527 | − | 1.63077i | 0.178968 | − | 0.983855i | \(-0.442724\pi\) |
0.762559 | − | 0.646918i | \(-0.223942\pi\) | |||||||
\(522\) | −125.486 | + | 206.817i | −0.240394 | + | 0.396202i | ||||
\(523\) | −83.0151 | + | 309.817i | −0.158729 | + | 0.592384i | 0.840028 | + | 0.542542i | \(0.182538\pi\) |
−0.998757 | + | 0.0498414i | \(0.984128\pi\) | |||||||
\(524\) | − | 325.115i | − | 0.620448i | ||||||
\(525\) | −411.548 | − | 325.965i | −0.783901 | − | 0.620886i | ||||
\(526\) | −542.217 | −1.03083 | ||||||||
\(527\) | −0.601469 | − | 0.161163i | −0.00114131 | − | 0.000305812i | ||||
\(528\) | 48.4245 | + | 64.5507i | 0.0917132 | + | 0.122255i | ||||
\(529\) | 301.410 | + | 174.019i | 0.569774 | + | 0.328959i | ||||
\(530\) | −278.530 | + | 511.789i | −0.525528 | + | 0.965640i | ||||
\(531\) | 8.27585 | − | 7.92321i | 0.0155854 | − | 0.0149213i | ||||
\(532\) | −18.9721 | + | 57.8918i | −0.0356618 | + | 0.108819i | ||||
\(533\) | 243.807 | + | 243.807i | 0.457425 | + | 0.457425i | ||||
\(534\) | 252.241 | − | 321.422i | 0.472361 | − | 0.601915i | ||||
\(535\) | −381.499 | + | 401.226i | −0.713082 | + | 0.749956i | ||||
\(536\) | −249.444 | − | 144.016i | −0.465380 | − | 0.268687i | ||||
\(537\) | 59.9334 | + | 496.976i | 0.111608 | + | 0.925467i | ||||
\(538\) | 415.369 | + | 415.369i | 0.772061 | + | 0.772061i | ||||
\(539\) | 132.499 | + | 301.692i | 0.245824 | + | 0.559725i | ||||
\(540\) | 212.975 | + | 165.957i | 0.394398 | + | 0.307328i | ||||
\(541\) | −34.9843 | − | 60.5947i | −0.0646661 | − | 0.112005i | 0.831880 | − | 0.554956i | \(-0.187265\pi\) |
−0.896546 | + | 0.442951i | \(0.853932\pi\) | |||||||
\(542\) | −234.980 | + | 62.9627i | −0.433542 | + | 0.116167i | ||||
\(543\) | 385.491 | + | 513.865i | 0.709928 | + | 0.946344i | ||||
\(544\) | −10.8197 | − | 18.7403i | −0.0198892 | − | 0.0344491i | ||||
\(545\) | −378.474 | + | 231.418i | −0.694447 | + | 0.424621i | ||||
\(546\) | −119.534 | − | 104.896i | −0.218926 | − | 0.192117i | ||||
\(547\) | 159.245 | + | 159.245i | 0.291124 | + | 0.291124i | 0.837524 | − | 0.546400i | \(-0.184002\pi\) |
−0.546400 | + | 0.837524i | \(0.684002\pi\) | |||||||
\(548\) | −98.7541 | + | 368.555i | −0.180208 | + | 0.672546i | ||||
\(549\) | 218.402 | + | 892.341i | 0.397819 | + | 1.62539i | ||||
\(550\) | 49.8877 | − | 232.458i | 0.0907049 | − | 0.422651i | ||||
\(551\) | −41.3529 | − | 71.6253i | −0.0750506 | − | 0.129992i | ||||
\(552\) | 44.8267 | − | 104.975i | 0.0812078 | − | 0.190172i | ||||
\(553\) | 705.297 | − | 148.054i | 1.27540 | − | 0.267728i | ||||
\(554\) | 311.391 | 0.562077 | ||||||||
\(555\) | 804.421 | + | 94.2102i | 1.44941 | + | 0.169748i | ||||
\(556\) | −114.927 | − | 66.3531i | −0.206703 | − | 0.119340i | ||||
\(557\) | 223.552 | + | 834.309i | 0.401351 | + | 1.49786i | 0.810688 | + | 0.585479i | \(0.199093\pi\) |
−0.409337 | + | 0.912383i | \(0.634240\pi\) | |||||||
\(558\) | 1.81639 | − | 0.996623i | 0.00325517 | − | 0.00178606i | ||||
\(559\) | 373.702 | 0.668519 | ||||||||
\(560\) | −134.094 | − | 40.2329i | −0.239454 | − | 0.0718445i | ||||
\(561\) | −71.6147 | + | 28.7547i | −0.127655 | + | 0.0512562i | ||||
\(562\) | −55.4278 | + | 206.859i | −0.0986260 | + | 0.368077i | ||||
\(563\) | −167.352 | − | 624.566i | −0.297251 | − | 1.10935i | −0.939414 | − | 0.342786i | \(-0.888629\pi\) |
0.642163 | − | 0.766568i | \(-0.278037\pi\) | |||||||
\(564\) | −26.3880 | + | 184.867i | −0.0467873 | + | 0.327779i | ||||
\(565\) | −654.118 | + | 193.060i | −1.15773 | + | 0.341699i | ||||
\(566\) | −37.9737 | −0.0670913 | ||||||||
\(567\) | −359.594 | − | 438.385i | −0.634205 | − | 0.773165i | ||||
\(568\) | 238.231 | − | 238.231i | 0.419421 | − | 0.419421i | ||||
\(569\) | −172.352 | − | 298.522i | −0.302903 | − | 0.524644i | 0.673889 | − | 0.738833i | \(-0.264623\pi\) |
−0.976792 | + | 0.214189i | \(0.931289\pi\) | |||||||
\(570\) | −84.7686 | + | 36.5426i | −0.148717 | + | 0.0641098i | ||||
\(571\) | 106.891 | − | 185.140i | 0.187199 | − | 0.324239i | −0.757116 | − | 0.653280i | \(-0.773392\pi\) |
0.944315 | + | 0.329042i | \(0.106726\pi\) | |||||||
\(572\) | 18.6400 | − | 69.5654i | 0.0325874 | − | 0.121618i | ||||
\(573\) | 110.817 | − | 259.510i | 0.193397 | − | 0.452898i | ||||
\(574\) | −533.702 | − | 348.510i | −0.929794 | − | 0.607161i | ||||
\(575\) | −320.048 | + | 103.296i | −0.556605 | + | 0.179645i | ||||
\(576\) | 69.1246 | + | 20.1442i | 0.120008 | + | 0.0349725i | ||||
\(577\) | −199.206 | − | 743.448i | −0.345245 | − | 1.28847i | −0.892326 | − | 0.451392i | \(-0.850928\pi\) |
0.547081 | − | 0.837080i | \(-0.315739\pi\) | |||||||
\(578\) | −374.792 | + | 100.425i | −0.648429 | + | 0.173746i | ||||
\(579\) | −78.6296 | − | 61.7057i | −0.135802 | − | 0.106573i | ||||
\(580\) | 162.152 | − | 99.1479i | 0.279572 | − | 0.170945i | ||||
\(581\) | 188.261 | − | 95.3250i | 0.324028 | − | 0.164071i | ||||
\(582\) | −88.8074 | + | 207.969i | −0.152590 | + | 0.357335i | ||||
\(583\) | 535.242 | + | 143.418i | 0.918082 | + | 0.245999i | ||||
\(584\) | −173.000 | − | 99.8816i | −0.296233 | − | 0.171030i | ||||
\(585\) | −0.827081 | − | 240.970i | −0.00141381 | − | 0.411914i | ||||
\(586\) | 471.638 | − | 272.300i | 0.804843 | − | 0.464676i | ||||
\(587\) | 34.1370 | + | 34.1370i | 0.0581550 | + | 0.0581550i | 0.735586 | − | 0.677431i | \(-0.236907\pi\) |
−0.677431 | + | 0.735586i | \(0.736907\pi\) | |||||||
\(588\) | 256.104 | + | 144.384i | 0.435551 | + | 0.245552i | ||||
\(589\) | 0.708336i | 0.00120261i | ||||||||
\(590\) | −8.63342 | + | 2.54812i | −0.0146329 | + | 0.00431885i | ||||
\(591\) | −9.39990 | + | 65.8531i | −0.0159051 | + | 0.111427i | ||||
\(592\) | 208.619 | − | 55.8994i | 0.352397 | − | 0.0944246i | ||||
\(593\) | 839.420 | + | 224.922i | 1.41555 | + | 0.379295i | 0.883902 | − | 0.467671i | \(-0.154907\pi\) |
0.531646 | + | 0.846967i | \(0.321574\pi\) | |||||||
\(594\) | 105.953 | − | 233.891i | 0.178373 | − | 0.393756i | ||||
\(595\) | 70.3560 | − | 113.911i | 0.118245 | − | 0.191448i | ||||
\(596\) | − | 93.3794i | − | 0.156677i | ||||||
\(597\) | 24.5466 | + | 203.544i | 0.0411166 | + | 0.340944i | ||||
\(598\) | −98.4021 | + | 26.3668i | −0.164552 | + | 0.0440916i | ||||
\(599\) | 183.387 | − | 317.635i | 0.306155 | − | 0.530276i | −0.671363 | − | 0.741129i | \(-0.734291\pi\) |
0.977518 | + | 0.210853i | \(0.0676242\pi\) | |||||||
\(600\) | −88.8581 | − | 192.625i | −0.148097 | − | 0.321041i | ||||
\(601\) | − | 107.243i | − | 0.178440i | −0.996012 | − | 0.0892202i | \(-0.971563\pi\) | ||
0.996012 | − | 0.0892202i | \(-0.0284375\pi\) | |||||||
\(602\) | −676.117 | + | 141.928i | −1.12312 | + | 0.235761i | ||||
\(603\) | −19.9472 | + | 916.298i | −0.0330800 | + | 1.51956i | ||||
\(604\) | 329.332 | − | 190.140i | 0.545251 | − | 0.314801i | ||||
\(605\) | 378.778 | − | 9.54655i | 0.626079 | − | 0.0157794i | ||||
\(606\) | −13.7602 | + | 96.4001i | −0.0227066 | + | 0.159076i | ||||
\(607\) | 61.6948 | + | 16.5311i | 0.101639 | + | 0.0272340i | 0.309280 | − | 0.950971i | \(-0.399912\pi\) |
−0.207641 | + | 0.978205i | \(0.566579\pi\) | |||||||
\(608\) | −17.4061 | + | 17.4061i | −0.0286284 | + | 0.0286284i | ||||
\(609\) | −377.989 | + | 128.175i | −0.620672 | + | 0.210468i | ||||
\(610\) | 169.186 | − | 701.674i | 0.277354 | − | 1.15029i | ||||
\(611\) | 144.335 | − | 83.3319i | 0.236228 | − | 0.136386i | ||||
\(612\) | −35.7178 | + | 58.8679i | −0.0583624 | + | 0.0961893i | ||||
\(613\) | 20.7243 | + | 77.3443i | 0.0338081 | + | 0.126173i | 0.980767 | − | 0.195180i | \(-0.0625290\pi\) |
−0.946959 | + | 0.321353i | \(0.895862\pi\) | |||||||
\(614\) | −240.247 | + | 138.707i | −0.391283 | + | 0.225907i | ||||
\(615\) | −139.760 | − | 955.663i | −0.227253 | − | 1.55392i | ||||
\(616\) | −7.30400 | + | 132.940i | −0.0118571 | + | 0.215812i | ||||
\(617\) | 443.200 | − | 443.200i | 0.718314 | − | 0.718314i | −0.249946 | − | 0.968260i | \(-0.580413\pi\) |
0.968260 | + | 0.249946i | \(0.0804128\pi\) | |||||||
\(618\) | −42.7143 | − | 354.192i | −0.0691170 | − | 0.573127i | ||||
\(619\) | 31.3094 | − | 54.2294i | 0.0505806 | − | 0.0876081i | −0.839627 | − | 0.543164i | \(-0.817226\pi\) |
0.890207 | + | 0.455556i | \(0.150560\pi\) | |||||||
\(620\) | −1.62727 | + | 0.0410131i | −0.00262463 | + | 6.61501e-5i | ||||
\(621\) | −361.457 | + | 35.6282i | −0.582057 | + | 0.0573723i | ||||
\(622\) | −213.164 | + | 213.164i | −0.342708 | + | 0.342708i | ||||
\(623\) | 659.744 | − | 138.491i | 1.05898 | − | 0.222297i | ||||
\(624\) | −23.9433 | − | 59.6317i | −0.0383707 | − | 0.0955636i | ||||
\(625\) | −256.451 | + | 569.963i | −0.410321 | + | 0.911941i | ||||
\(626\) | 158.415 | − | 274.383i | 0.253059 | − | 0.438312i | ||||
\(627\) | 52.6801 | + | 70.2234i | 0.0840193 | + | 0.111999i | ||||
\(628\) | −117.740 | + | 439.413i | −0.187485 | + | 0.699702i | ||||
\(629\) | 206.548i | 0.328376i | ||||||||
\(630\) | 93.0143 | + | 435.659i | 0.147642 | + | 0.691521i | ||||
\(631\) | 518.483 | 0.821684 | 0.410842 | − | 0.911707i | \(-0.365235\pi\) | ||||
0.410842 | + | 0.911707i | \(0.365235\pi\) | |||||||
\(632\) | 281.272 | + | 75.3666i | 0.445050 | + | 0.119251i | ||||
\(633\) | 230.982 | − | 173.277i | 0.364900 | − | 0.273740i | ||||
\(634\) | −473.881 | − | 273.596i | −0.747447 | − | 0.431539i | ||||
\(635\) | −1023.79 | + | 302.169i | −1.61227 | + | 0.475856i | ||||
\(636\) | 458.811 | − | 184.222i | 0.721400 | − | 0.289657i | ||||
\(637\) | −39.7366 | − | 259.365i | −0.0623809 | − | 0.407166i | ||||
\(638\) | −127.809 | − | 127.809i | −0.200328 | − | 0.200328i | ||||
\(639\) | −1029.23 | − | 299.936i | −1.61068 | − | 0.469383i | ||||
\(640\) | −40.9951 | − | 38.9795i | −0.0640549 | − | 0.0609054i | ||||
\(641\) | −282.179 | − | 162.916i | −0.440217 | − | 0.254159i | 0.263473 | − | 0.964667i | \(-0.415132\pi\) |
−0.703690 | + | 0.710507i | \(0.748465\pi\) | |||||||
\(642\) | 466.405 | − | 56.2467i | 0.726487 | − | 0.0876117i | ||||
\(643\) | 238.396 | + | 238.396i | 0.370756 | + | 0.370756i | 0.867753 | − | 0.496996i | \(-0.165564\pi\) |
−0.496996 | + | 0.867753i | \(0.665564\pi\) | |||||||
\(644\) | 168.019 | − | 85.0759i | 0.260899 | − | 0.132106i | ||||
\(645\) | −839.520 | − | 625.299i | −1.30158 | − | 0.969455i | ||||
\(646\) | −11.7706 | − | 20.3872i | −0.0182207 | − | 0.0315592i | ||||
\(647\) | −677.491 | + | 181.533i | −1.04713 | + | 0.280577i | −0.741064 | − | 0.671435i | \(-0.765678\pi\) |
−0.306062 | + | 0.952011i | \(0.599012\pi\) | |||||||
\(648\) | −49.6096 | − | 223.667i | −0.0765580 | − | 0.345165i | ||||
\(649\) | 4.28028 | + | 7.41366i | 0.00659519 | + | 0.0114232i | ||||
\(650\) | −86.2828 | + | 168.521i | −0.132743 | + | 0.259263i | ||||
\(651\) | 3.35246 | + | 0.667962i | 0.00514971 | + | 0.00102606i | ||||
\(652\) | 166.820 | + | 166.820i | 0.255859 | + | 0.255859i | ||||
\(653\) | −202.218 | + | 754.689i | −0.309676 | + | 1.15573i | 0.619170 | + | 0.785257i | \(0.287469\pi\) |
−0.928845 | + | 0.370468i | \(0.879197\pi\) | |||||||
\(654\) | 372.645 | + | 53.1915i | 0.569794 | + | 0.0813326i | ||||
\(655\) | 812.529 | − | 20.4786i | 1.24050 | − | 0.0312651i | ||||
\(656\) | −128.777 | − | 223.049i | −0.196307 | − | 0.340013i | ||||
\(657\) | −13.8343 | + | 635.492i | −0.0210567 | + | 0.967263i | ||||
\(658\) | −229.488 | + | 205.585i | −0.348766 | + | 0.312438i | ||||
\(659\) | 296.676 | 0.450191 | 0.225096 | − | 0.974337i | \(-0.427731\pi\) | ||||
0.225096 | + | 0.974337i | \(0.427731\pi\) | |||||||
\(660\) | −158.275 | + | 125.089i | −0.239811 | + | 0.189529i | ||||
\(661\) | 502.629 | + | 290.193i | 0.760407 | + | 0.439021i | 0.829442 | − | 0.558593i | \(-0.188659\pi\) |
−0.0690350 | + | 0.997614i | \(0.521992\pi\) | |||||||
\(662\) | −98.8331 | − | 368.850i | −0.149295 | − | 0.557176i | ||||
\(663\) | 61.0113 | − | 7.35773i | 0.0920230 | − | 0.0110976i | ||||
\(664\) | 85.2644 | 0.128410 | ||||||||
\(665\) | −145.879 | − | 43.7686i | −0.219366 | − | 0.0658174i | ||||
\(666\) | −475.260 | − | 496.413i | −0.713604 | − | 0.745365i | ||||
\(667\) | −66.1735 | + | 246.963i | −0.0992106 | + | 0.370259i | ||||
\(668\) | −41.6592 | − | 155.474i | −0.0623641 | − | 0.232746i | ||||
\(669\) | 471.188 | + | 67.2576i | 0.704317 | + | 0.100534i | ||||
\(670\) | 344.215 | − | 632.483i | 0.513753 | − | 0.944004i | ||||
\(671\) | −686.418 | −1.02298 | ||||||||
\(672\) | 65.9668 | + | 98.7947i | 0.0981648 | + | 0.147016i | ||||
\(673\) | 578.339 | − | 578.339i | 0.859345 | − | 0.859345i | −0.131916 | − | 0.991261i | \(-0.542113\pi\) |
0.991261 | + | 0.131916i | \(0.0421130\pi\) | |||||||
\(674\) | 384.011 | + | 665.127i | 0.569749 | + | 0.986835i | ||||
\(675\) | −401.346 | + | 542.721i | −0.594586 | + | 0.804032i | ||||
\(676\) | 140.325 | − | 243.050i | 0.207581 | − | 0.359541i | ||||
\(677\) | −34.6936 | + | 129.478i | −0.0512461 | + | 0.191253i | −0.986804 | − | 0.161921i | \(-0.948231\pi\) |
0.935558 | + | 0.353174i | \(0.114898\pi\) | |||||||
\(678\) | 532.214 | + | 227.267i | 0.784977 | + | 0.335202i | ||||
\(679\) | −332.868 | + | 168.546i | −0.490232 | + | 0.248227i | ||||
\(680\) | 46.1544 | − | 28.2211i | 0.0678741 | − | 0.0415017i | ||||
\(681\) | −432.511 | + | 551.135i | −0.635112 | + | 0.809303i | ||||
\(682\) | 0.400660 | + | 1.49529i | 0.000587479 | + | 0.00219250i | ||||
\(683\) | 263.899 | − | 70.7116i | 0.386382 | − | 0.103531i | −0.0603983 | − | 0.998174i | \(-0.519237\pi\) |
0.446781 | + | 0.894644i | \(0.352570\pi\) | |||||||
\(684\) | 75.1993 | + | 21.9145i | 0.109941 | + | 0.0320387i | ||||
\(685\) | −927.316 | − | 223.592i | −1.35375 | − | 0.326412i | ||||
\(686\) | 170.397 | + | 454.162i | 0.248392 | + | 0.662043i | ||||
\(687\) | −502.066 | − | 214.393i | −0.730809 | − | 0.312071i | ||||
\(688\) | −269.635 | − | 72.2485i | −0.391912 | − | 0.105012i | ||||
\(689\) | −382.140 | − | 220.629i | −0.554630 | − | 0.320216i | ||||
\(690\) | 265.178 | + | 105.419i | 0.384316 | + | 0.152781i | ||||
\(691\) | 954.298 | − | 550.964i | 1.38104 | − | 0.797343i | 0.388757 | − | 0.921341i | \(-0.372905\pi\) |
0.992283 | + | 0.123997i | \(0.0395714\pi\) | |||||||
\(692\) | 386.697 | + | 386.697i | 0.558810 | + | 0.558810i | ||||
\(693\) | 382.036 | − | 183.107i | 0.551278 | − | 0.264224i | ||||
\(694\) | 941.341i | 1.35640i | ||||||||
\(695\) | 158.591 | − | 291.405i | 0.228188 | − | 0.419288i | ||||
\(696\) | −159.655 | − | 22.7892i | −0.229389 | − | 0.0327430i | ||||
\(697\) | 237.916 | − | 63.7494i | 0.341343 | − | 0.0914625i | ||||
\(698\) | 584.097 | + | 156.508i | 0.836816 | + | 0.224224i | ||||
\(699\) | −16.7523 | − | 41.7223i | −0.0239662 | − | 0.0596886i | ||||
\(700\) | 92.1039 | − | 337.664i | 0.131577 | − | 0.482377i | ||||
\(701\) | 1133.69i | 1.61725i | 0.588327 | + | 0.808623i | \(0.299787\pi\) | ||||
−0.588327 | + | 0.808623i | \(0.700213\pi\) | |||||||
\(702\) | −129.703 | + | 158.068i | −0.184762 | + | 0.225168i | ||||
\(703\) | 226.953 | − | 60.8118i | 0.322835 | − | 0.0865033i | ||||
\(704\) | −26.8984 | + | 46.5894i | −0.0382080 | + | 0.0661782i | ||||
\(705\) | −463.683 | − | 54.3045i | −0.657707 | − | 0.0770277i | ||||
\(706\) | 334.626i | 0.473974i | ||||||||
\(707\) | −119.668 | + | 107.203i | −0.169262 | + | 0.151631i | ||||
\(708\) | 7.02447 | + | 2.99960i | 0.00992157 | + | 0.00423673i | ||||
\(709\) | 892.396 | − | 515.225i | 1.25867 | − | 0.726693i | 0.285853 | − | 0.958273i | \(-0.407723\pi\) |
0.972816 | + | 0.231581i | \(0.0743897\pi\) | |||||||
\(710\) | 610.394 | + | 580.382i | 0.859710 | + | 0.817440i | ||||
\(711\) | −220.279 | − | 900.009i | −0.309816 | − | 1.26584i | ||||
\(712\) | 263.105 | + | 70.4989i | 0.369530 | + | 0.0990153i | ||||
\(713\) | 1.54837 | − | 1.54837i | 0.00217163 | − | 0.00217163i | ||||
\(714\) | −107.590 | + | 36.4834i | −0.150686 | + | 0.0510971i | ||||
\(715\) | 175.033 | + | 42.2034i | 0.244801 | + | 0.0590257i | ||||
\(716\) | −289.008 | + | 166.859i | −0.403642 | + | 0.233043i | ||||
\(717\) | −896.305 | + | 672.389i | −1.25008 | + | 0.937781i | ||||
\(718\) | −142.830 | − | 533.048i | −0.198927 | − | 0.742407i | ||||
\(719\) | 946.111 | − | 546.238i | 1.31587 | − | 0.759718i | 0.332809 | − | 0.942994i | \(-0.392003\pi\) |
0.983062 | + | 0.183276i | \(0.0586701\pi\) | |||||||
\(720\) | −45.9904 | + | 174.026i | −0.0638755 | + | 0.241702i | ||||
\(721\) | 321.833 | − | 492.848i | 0.446370 | − | 0.683562i | ||||
\(722\) | 342.064 | − | 342.064i | 0.473773 | − | 0.473773i | ||||
\(723\) | −316.029 | + | 38.1119i | −0.437107 | + | 0.0527135i | ||||
\(724\) | −214.129 | + | 370.882i | −0.295758 | + | 0.512268i | ||||
\(725\) | 258.005 | + | 399.005i | 0.355869 | + | 0.550352i | ||||
\(726\) | −252.923 | − | 198.485i | −0.348378 | − | 0.273395i | ||||
\(727\) | 195.469 | − | 195.469i | 0.268870 | − | 0.268870i | −0.559775 | − | 0.828645i | \(-0.689112\pi\) |
0.828645 | + | 0.559775i | \(0.189112\pi\) | |||||||
\(728\) | 33.0173 | − | 100.750i | 0.0453534 | − | 0.138393i | ||||
\(729\) | −548.018 | + | 480.746i | −0.751740 | + | 0.659460i | ||||
\(730\) | 238.728 | − | 438.654i | 0.327024 | − | 0.600896i | ||||
\(731\) | 133.479 | − | 231.193i | 0.182598 | − | 0.316269i | ||||
\(732\) | −489.920 | + | 367.528i | −0.669290 | + | 0.502087i | ||||
\(733\) | 41.8982 | − | 156.366i | 0.0571599 | − | 0.213324i | −0.931439 | − | 0.363898i | \(-0.881446\pi\) |
0.988599 | + | 0.150574i | \(0.0481123\pi\) | |||||||
\(734\) | − | 1005.24i | − | 1.36954i | ||||||
\(735\) | −344.715 | + | 649.151i | −0.469000 | + | 0.883198i | ||||
\(736\) | 76.0970 | 0.103393 | ||||||||
\(737\) | −661.466 | − | 177.239i | −0.897512 | − | 0.240488i | ||||
\(738\) | −425.116 | + | 700.650i | −0.576038 | + | 0.949390i | ||||
\(739\) | −442.881 | − | 255.698i | −0.599298 | − | 0.346005i | 0.169467 | − | 0.985536i | \(-0.445795\pi\) |
−0.768765 | + | 0.639531i | \(0.779129\pi\) | |||||||
\(740\) | 152.845 | + | 517.861i | 0.206547 | + | 0.699813i | ||||
\(741\) | −26.0475 | − | 64.8722i | −0.0351518 | − | 0.0875468i | ||||
\(742\) | 775.176 | + | 254.038i | 1.04471 | + | 0.342369i | ||||
\(743\) | −366.443 | − | 366.443i | −0.493194 | − | 0.493194i | 0.416117 | − | 0.909311i | \(-0.363391\pi\) |
−0.909311 | + | 0.416117i | \(0.863391\pi\) | |||||||
\(744\) | 1.08658 | + | 0.852712i | 0.00146046 | + | 0.00114612i | ||||
\(745\) | 233.374 | − | 5.88186i | 0.313254 | − | 0.00789512i | ||||
\(746\) | −630.233 | − | 363.865i | −0.844817 | − | 0.487755i | ||||
\(747\) | −130.509 | − | 237.858i | −0.174711 | − | 0.318418i | ||||
\(748\) | −36.3792 | − | 36.3792i | −0.0486353 | − | 0.0486353i | ||||
\(749\) | 648.988 | + | 423.794i | 0.866473 | + | 0.565813i | ||||
\(750\) | 475.812 | − | 234.208i | 0.634415 | − | 0.312277i | ||||
\(751\) | −258.355 | − | 447.484i | −0.344015 | − | 0.595851i | 0.641160 | − | 0.767408i | \(-0.278454\pi\) |
−0.985174 | + | 0.171557i | \(0.945120\pi\) | |||||||
\(752\) | −120.252 | + | 32.2214i | −0.159910 | + | 0.0428476i | ||||
\(753\) | 412.667 | − | 309.574i | 0.548030 | − | 0.411121i | ||||
\(754\) | 71.9669 | + | 124.650i | 0.0954468 | + | 0.165319i | ||||
\(755\) | 495.943 | + | 811.092i | 0.656878 | + | 1.07429i | ||||
\(756\) | 174.631 | − | 335.243i | 0.230994 | − | 0.443443i | ||||
\(757\) | 211.287 | + | 211.287i | 0.279111 | + | 0.279111i | 0.832754 | − | 0.553643i | \(-0.186763\pi\) |
−0.553643 | + | 0.832754i | \(0.686763\pi\) | |||||||
\(758\) | −7.26593 | + | 27.1168i | −0.00958565 | + | 0.0357741i | ||||
\(759\) | 38.3485 | − | 268.659i | 0.0505250 | − | 0.353964i | ||||
\(760\) | −44.5978 | − | 42.4050i | −0.0586813 | − | 0.0557961i | ||||
\(761\) | −327.295 | − | 566.892i | −0.430086 | − | 0.744930i | 0.566795 | − | 0.823859i | \(-0.308183\pi\) |
−0.996880 | + | 0.0789291i | \(0.974850\pi\) | |||||||
\(762\) | 832.996 | + | 355.708i | 1.09317 | + | 0.466808i | ||||
\(763\) | 414.406 | + | 462.590i | 0.543127 | + | 0.606278i | ||||
\(764\) | 188.120 | 0.246231 | ||||||||
\(765\) | −149.373 | − | 85.5582i | −0.195259 | − | 0.111841i | ||||
\(766\) | 480.434 | + | 277.379i | 0.627199 | + | 0.362113i | ||||
\(767\) | −1.76435 | − | 6.58464i | −0.00230032 | − | 0.00858492i | ||||
\(768\) | 5.74698 | + | 47.6547i | 0.00748305 | + | 0.0620504i | ||||
\(769\) | 378.964 | 0.492801 | 0.246401 | − | 0.969168i | \(-0.420752\pi\) | ||||
0.246401 | + | 0.969168i | \(0.420752\pi\) | |||||||
\(770\) | −332.704 | − | 9.88048i | −0.432084 | − | 0.0128318i | ||||
\(771\) | 108.191 | + | 269.453i | 0.140326 | + | 0.349486i | ||||
\(772\) | 17.2461 | − | 64.3635i | 0.0223396 | − | 0.0833724i | ||||
\(773\) | −374.638 | − | 1398.17i | −0.484654 | − | 1.80875i | −0.581613 | − | 0.813466i | \(-0.697578\pi\) |
0.0969586 | − | 0.995288i | \(-0.469089\pi\) | |||||||
\(774\) | 211.166 | + | 862.774i | 0.272824 | + | 1.11470i | ||||
\(775\) | −0.205000 | − | 4.06431i | −0.000264516 | − | 0.00524427i | ||||
\(776\) | −150.758 | −0.194276 | ||||||||
\(777\) | −73.7976 | − | 1131.48i | −0.0949776 | − | 1.45622i | ||||
\(778\) | 54.2222 | − | 54.2222i | 0.0696943 | − | 0.0696943i | ||||
\(779\) | −140.094 | − | 242.650i | −0.179838 | − | 0.311489i | ||||
\(780\) | 147.524 | − | 63.5955i | 0.189133 | − | 0.0815326i | ||||
\(781\) | 400.502 | − | 693.690i | 0.512807 | − | 0.888208i | ||||
\(782\) | −18.8354 | + | 70.2947i | −0.0240862 | + | 0.0898909i | ||||
\(783\) | 180.800 | + | 480.262i | 0.230906 | + | 0.613362i | ||||
\(784\) | −21.4725 | + | 194.820i | −0.0273884 | + | 0.248495i | ||||
\(785\) | −1105.60 | − | 266.579i | −1.40841 | − | 0.339592i | ||||
\(786\) | −542.552 | − | 425.776i | −0.690270 | − | 0.541699i | ||||
\(787\) | 47.3821 | + | 176.832i | 0.0602060 | + | 0.224692i | 0.989473 | − | 0.144717i | \(-0.0462270\pi\) |
−0.929267 | + | 0.369408i | \(0.879560\pi\) | |||||||
\(788\) | −42.8360 | + | 11.4779i | −0.0543604 | + | 0.0145658i | ||||
\(789\) | −710.097 | + | 904.854i | −0.899996 | + | 1.14684i | ||||
\(790\) | −170.640 | + | 707.704i | −0.216000 | + | 0.895827i | ||||
\(791\) | 431.327 | + | 851.842i | 0.545294 | + | 1.07692i | ||||
\(792\) | 171.140 | + | 3.72561i | 0.216086 | + | 0.00470405i | ||||
\(793\) | 527.981 | + | 141.472i | 0.665802 | + | 0.178401i | ||||
\(794\) | 753.321 | + | 434.930i | 0.948766 | + | 0.547771i | ||||
\(795\) | 489.308 | + | 1135.06i | 0.615482 | + | 1.42775i | ||||
\(796\) | −118.367 | + | 68.3394i | −0.148703 | + | 0.0858536i | ||||
\(797\) | 971.725 | + | 971.725i | 1.21923 | + | 1.21923i | 0.967902 | + | 0.251326i | \(0.0808667\pi\) |
0.251326 | + | 0.967902i | \(0.419133\pi\) | |||||||
\(798\) | 71.7639 | + | 107.477i | 0.0899297 | + | 0.134683i | ||||
\(799\) | − | 119.058i | − | 0.149009i | ||||||
\(800\) | 94.8355 | − | 104.911i | 0.118544 | − | 0.131138i | ||||
\(801\) | −206.052 | − | 841.880i | −0.257243 | − | 1.05104i | ||||
\(802\) | −617.767 | + | 165.530i | −0.770283 | + | 0.206397i | ||||
\(803\) | −458.755 | − | 122.923i | −0.571302 | − | 0.153080i | ||||
\(804\) | −567.011 | + | 227.666i | −0.705237 | + | 0.283167i | ||||
\(805\) | 223.206 | + | 414.556i | 0.277274 | + | 0.514976i | ||||
\(806\) | − | 1.23273i | − | 0.00152944i | ||||||
\(807\) | 1237.14 | − | 149.195i | 1.53301 | − | 0.184876i | ||||
\(808\) | −62.7061 | + | 16.8020i | −0.0776066 | + | 0.0207946i | ||||
\(809\) | 475.295 | − | 823.235i | 0.587509 | − | 1.01760i | −0.407048 | − | 0.913407i | \(-0.633442\pi\) |
0.994557 | − | 0.104190i | \(-0.0332248\pi\) | |||||||
\(810\) | 555.865 | − | 138.073i | 0.686253 | − | 0.170461i | ||||
\(811\) | 916.050i | 1.12953i | 0.825251 | + | 0.564765i | \(0.191033\pi\) | ||||
−0.825251 | + | 0.564765i | \(0.808967\pi\) | |||||||
\(812\) | −177.546 | − | 198.190i | −0.218653 | − | 0.244077i | ||||
\(813\) | −202.661 | + | 474.592i | −0.249276 | + | 0.583754i | ||||
\(814\) | 444.696 | − | 256.745i | 0.546309 | − | 0.315412i | ||||
\(815\) | −406.411 | + | 427.426i | −0.498663 | + | 0.524449i | ||||
\(816\) | −45.4436 | − | 6.48663i | −0.0556907 | − | 0.00794931i | ||||
\(817\) | −293.331 | − | 78.5978i | −0.359034 | − | 0.0962029i | ||||
\(818\) | 320.698 | − | 320.698i | 0.392052 | − | 0.392052i | ||||
\(819\) | −331.594 | + | 62.1048i | −0.404877 | + | 0.0758300i | ||||
\(820\) | 549.333 | − | 335.890i | 0.669918 | − | 0.409622i | ||||
\(821\) | 231.737 | − | 133.794i | 0.282262 | − | 0.162964i | −0.352185 | − | 0.935931i | \(-0.614561\pi\) |
0.634447 | + | 0.772966i | \(0.281228\pi\) | |||||||
\(822\) | 485.716 | + | 647.467i | 0.590896 | + | 0.787673i | ||||
\(823\) | −171.635 | − | 640.549i | −0.208548 | − | 0.778310i | −0.988339 | − | 0.152271i | \(-0.951341\pi\) |
0.779791 | − | 0.626040i | \(-0.215325\pi\) | |||||||
\(824\) | 205.975 | − | 118.920i | 0.249969 | − | 0.144320i | ||||
\(825\) | −322.593 | − | 387.683i | −0.391021 | − | 0.469919i | ||||
\(826\) | 5.69291 | + | 11.2431i | 0.00689214 | + | 0.0136115i | ||||
\(827\) | −658.320 | + | 658.320i | −0.796034 | + | 0.796034i | −0.982468 | − | 0.186434i | \(-0.940307\pi\) |
0.186434 | + | 0.982468i | \(0.440307\pi\) | |||||||
\(828\) | −116.477 | − | 212.284i | −0.140673 | − | 0.256382i | ||||
\(829\) | 191.308 | − | 331.355i | 0.230769 | − | 0.399704i | −0.727265 | − | 0.686356i | \(-0.759209\pi\) |
0.958035 | + | 0.286652i | \(0.0925424\pi\) | |||||||
\(830\) | 5.37071 | + | 213.093i | 0.00647074 | + | 0.256739i | ||||
\(831\) | 407.803 | − | 519.650i | 0.490737 | − | 0.625331i | ||||
\(832\) | 30.2920 | − | 30.2920i | 0.0364087 | − | 0.0364087i | ||||
\(833\) | −174.651 | − | 68.0568i | −0.209665 | − | 0.0817009i | ||||
\(834\) | −261.240 | + | 104.893i | −0.313238 | + | 0.125771i | ||||
\(835\) | 385.938 | − | 113.908i | 0.462201 | − | 0.136417i | ||||
\(836\) | −29.2623 | + | 50.6837i | −0.0350027 | + | 0.0606265i | ||||
\(837\) | 0.715601 | − | 4.33638i | 0.000854960 | − | 0.00518087i | ||||
\(838\) | −152.302 | + | 568.400i | −0.181745 | + | 0.678281i | ||||
\(839\) | − | 1402.36i | − | 1.67146i | −0.549138 | − | 0.835732i | \(-0.685044\pi\) | ||
0.549138 | − | 0.835732i | \(-0.314956\pi\) | |||||||
\(840\) | −242.753 | + | 171.088i | −0.288992 | + | 0.203676i | ||||
\(841\) | −479.765 | −0.570470 | ||||||||
\(842\) | 118.302 | + | 31.6990i | 0.140502 | + | 0.0376473i | ||||
\(843\) | 272.618 | + | 363.404i | 0.323391 | + | 0.431085i | ||||
\(844\) | 166.711 | + | 96.2506i | 0.197525 | + | 0.114041i | ||||
\(845\) | 616.270 | + | 335.391i | 0.729314 | + | 0.396913i | ||||
\(846\) | 273.949 | + | 286.142i | 0.323817 | + | 0.338229i | ||||
\(847\) | −108.977 | − | 519.143i | −0.128662 | − | 0.612920i | ||||
\(848\) | 233.069 | + | 233.069i | 0.274845 | + | 0.274845i | ||||
\(849\) | −49.7309 | + | 63.3706i | −0.0585759 | + | 0.0746414i | ||||
\(850\) | 73.4377 | + | 113.572i | 0.0863973 | + | 0.133614i | ||||
\(851\) | −629.034 | − | 363.173i | −0.739170 | − | 0.426760i | ||||
\(852\) | −85.5693 | − | 709.552i | −0.100433 | − | 0.832807i | ||||
\(853\) | −1004.58 | − | 1004.58i | −1.17770 | − | 1.17770i | −0.980328 | − | 0.197375i | \(-0.936758\pi\) |
−0.197375 | − | 0.980328i | \(-0.563242\pi\) | |||||||
\(854\) | −1008.97 | − | 55.4352i | −1.18147 | − | 0.0649124i | ||||
\(855\) | −50.0320 | + | 189.319i | −0.0585170 | + | 0.221426i | ||||
\(856\) | 156.595 | + | 271.230i | 0.182938 | + | 0.316858i | ||||
\(857\) | 551.603 | − | 147.802i | 0.643644 | − | 0.172464i | 0.0777906 | − | 0.996970i | \(-0.475213\pi\) |
0.565853 | + | 0.824506i | \(0.308547\pi\) | |||||||
\(858\) | −91.6798 | − | 122.211i | −0.106853 | − | 0.142437i | ||||
\(859\) | −748.085 | − | 1295.72i | −0.870879 | − | 1.50841i | −0.861089 | − | 0.508455i | \(-0.830217\pi\) |
−0.00979076 | − | 0.999952i | \(-0.503117\pi\) | |||||||
\(860\) | 163.580 | − | 678.425i | 0.190209 | − | 0.788866i | ||||
\(861\) | −1280.54 | + | 434.228i | −1.48727 | + | 0.504329i | ||||
\(862\) | −353.788 | − | 353.788i | −0.410427 | − | 0.410427i | ||||
\(863\) | 98.5642 | − | 367.847i | 0.114211 | − | 0.426242i | −0.885016 | − | 0.465562i | \(-0.845852\pi\) |
0.999227 | + | 0.0393196i | \(0.0125191\pi\) | |||||||
\(864\) | 124.143 | − | 88.9742i | 0.143685 | − | 0.102979i | ||||
\(865\) | −942.077 | + | 990.793i | −1.08911 | + | 1.14543i | ||||
\(866\) | −184.106 | − | 318.880i | −0.212593 | − | 0.368222i | ||||
\(867\) | −323.244 | + | 756.972i | −0.372830 | + | 0.873094i | ||||
\(868\) | 0.468177 | + | 2.23030i | 0.000539374 | + | 0.00256947i | ||||
\(869\) | 692.316 | 0.796681 | ||||||||
\(870\) | 46.8983 | − | 400.445i | 0.0539061 | − | 0.460282i | ||||
\(871\) | 472.259 | + | 272.659i | 0.542204 | + | 0.313041i | ||||
\(872\) | 64.9501 | + | 242.397i | 0.0744841 | + | 0.277978i | ||||
\(873\) | 230.756 | + | 420.562i | 0.264325 | + | 0.481744i | ||||
\(874\) | 82.7845 | 0.0947191 | ||||||||
\(875\) | 849.693 | + | 208.918i | 0.971078 | + | 0.238763i | ||||
\(876\) | −393.246 | + | 157.896i | −0.448911 | + | 0.180247i | ||||
\(877\) | −1.60946 | + | 6.00658i | −0.00183519 | + | 0.00684901i | −0.966837 | − | 0.255393i | \(-0.917795\pi\) |
0.965002 | + | 0.262242i | \(0.0844618\pi\) | |||||||
\(878\) | 110.836 | + | 413.647i | 0.126237 | + | 0.471124i | ||||
\(879\) | 163.249 | − | 1143.68i | 0.185722 | − | 1.30112i | ||||
\(880\) | −118.131 | − | 64.2901i | −0.134240 | − | 0.0730569i | ||||
\(881\) | 667.037 | 0.757136 | 0.378568 | − | 0.925574i | \(-0.376417\pi\) | ||||
0.378568 | + | 0.925574i | \(0.376417\pi\) | |||||||
\(882\) | 576.347 | − | 238.299i | 0.653455 | − | 0.270180i | ||||
\(883\) | −241.670 | + | 241.670i | −0.273693 | + | 0.273693i | −0.830585 | − | 0.556892i | \(-0.811994\pi\) |
0.556892 | + | 0.830585i | \(0.311994\pi\) | |||||||
\(884\) | 20.4844 | + | 35.4801i | 0.0231724 | + | 0.0401358i | ||||
\(885\) | −7.05417 | + | 17.7445i | −0.00797081 | + | 0.0200503i | ||||
\(886\) | −245.297 | + | 424.867i | −0.276859 | + | 0.479533i | ||||
\(887\) | 313.746 | − | 1170.92i | 0.353716 | − | 1.32009i | −0.528377 | − | 0.849010i | \(-0.677199\pi\) |
0.882093 | − | 0.471076i | \(-0.156134\pi\) | |||||||
\(888\) | 179.926 | − | 421.351i | 0.202620 | − | 0.474495i | ||||
\(889\) | 675.093 | + | 1333.26i | 0.759384 | + | 1.49973i | ||||
\(890\) | −159.619 | + | 661.995i | −0.179347 | + | 0.743815i | ||||
\(891\) | −251.560 | − | 483.123i | −0.282335 | − | 0.542226i | ||||
\(892\) | 82.1257 | + | 306.497i | 0.0920692 | + | 0.343607i | ||||
\(893\) | −130.820 | + | 35.0531i | −0.146495 | + | 0.0392531i | ||||
\(894\) | −155.832 | − | 122.291i | −0.174308 | − | 0.136791i | ||||
\(895\) | −435.219 | − | 711.780i | −0.486278 | − | 0.795285i | ||||
\(896\) | −43.3009 | + | 66.3101i | −0.0483269 | + | 0.0740068i | ||||
\(897\) | −84.8681 | + | 198.744i | −0.0946133 | + | 0.221565i | ||||
\(898\) | −163.201 | − | 43.7297i | −0.181739 | − | 0.0486968i | ||||
\(899\) | −2.67932 | − | 1.54690i | −0.00298033 | − | 0.00172069i | ||||
\(900\) | −437.823 | − | 103.978i | −0.486470 | − | 0.115531i | ||||
\(901\) | −272.986 | + | 157.609i | −0.302982 | + | 0.174926i | ||||
\(902\) | −432.988 | − | 432.988i | −0.480031 | − | 0.480031i | ||||
\(903\) | −648.604 | + | 1314.18i | −0.718277 | + | 1.45535i | ||||
\(904\) | 385.805i | 0.426775i | ||||||||
\(905\) | −940.398 | − | 511.791i | −1.03911 | − | 0.565515i | ||||
\(906\) | 113.993 | − | 798.600i | 0.125820 | − | 0.881457i | ||||
\(907\) | −1226.59 | + | 328.664i | −1.35236 | + | 0.362364i | −0.861005 | − | 0.508596i | \(-0.830165\pi\) |
−0.491355 | + | 0.870960i | \(0.663498\pi\) | |||||||
\(908\) | −451.141 | − | 120.883i | −0.496851 | − | 0.133131i | ||||
\(909\) | 142.852 | + | 149.210i | 0.157153 | + | 0.164148i | ||||
\(910\) | 253.874 | + | 76.1709i | 0.278983 | + | 0.0837043i | ||||
\(911\) | 865.824i | 0.950411i | 0.879875 | + | 0.475205i | \(0.157626\pi\) | ||||
−0.879875 | + | 0.475205i | \(0.842374\pi\) | |||||||
\(912\) | 6.25203 | + | 51.8426i | 0.00685530 | + | 0.0568450i | ||||
\(913\) | 195.809 | − | 52.4670i | 0.214468 | − | 0.0574666i | ||||
\(914\) | 251.844 | − | 436.206i | 0.275540 | − | 0.477249i | ||||
\(915\) | −949.388 | − | 1201.26i | −1.03758 | − | 1.31285i | ||||
\(916\) | − | 363.950i | − | 0.397326i | ||||||
\(917\) | −233.770 | − | 1113.63i | −0.254929 | − | 1.21443i | ||||
\(918\) | 51.4622 | + | 136.700i | 0.0560591 | + | 0.148911i | ||||
\(919\) | 533.082 | − | 307.775i | 0.580067 | − | 0.334902i | −0.181093 | − | 0.983466i | \(-0.557964\pi\) |
0.761160 | + | 0.648564i | \(0.224630\pi\) | |||||||
\(920\) | 4.79327 | + | 190.182i | 0.00521007 | + | 0.206720i | ||||
\(921\) | −83.1575 | + | 582.579i | −0.0902905 | + | 0.632550i | ||||
\(922\) | −848.647 | − | 227.394i | −0.920442 | − | 0.246632i | ||||
\(923\) | −451.031 | + | 451.031i | −0.488657 | + | 0.488657i | ||||
\(924\) | 212.285 | + | 186.289i | 0.229746 | + | 0.201612i | ||||
\(925\) | −1284.62 | + | 414.610i | −1.38877 | + | 0.448227i | ||||
\(926\) | 46.0309 | − | 26.5760i | 0.0497094 | − | 0.0286997i | ||||
\(927\) | −647.017 | − | 392.574i | −0.697968 | − | 0.423489i | ||||
\(928\) | −27.8270 | − | 103.852i | −0.0299860 | − | 0.111909i | ||||
\(929\) | 380.587 | − | 219.732i | 0.409674 | − | 0.236526i | −0.280975 | − | 0.959715i | \(-0.590658\pi\) |
0.690650 | + | 0.723189i | \(0.257325\pi\) | |||||||
\(930\) | −2.06266 | + | 2.76931i | −0.00221792 | + | 0.00297775i | ||||
\(931\) | −23.3595 | + | 211.941i | −0.0250908 | + | 0.227649i | ||||
\(932\) | 21.1943 | − | 21.1943i | 0.0227407 | − | 0.0227407i | ||||
\(933\) | 76.5657 | + | 634.893i | 0.0820640 | + | 0.680485i | ||||
\(934\) | 340.250 | − | 589.331i | 0.364294 | − | 0.630976i | ||||
\(935\) | 88.6276 | − | 93.2106i | 0.0947889 | − | 0.0996904i | ||||
\(936\) | −130.870 | − | 38.1380i | −0.139819 | − | 0.0407457i | ||||
\(937\) | −592.606 | + | 592.606i | −0.632450 | + | 0.632450i | −0.948682 | − | 0.316232i | \(-0.897582\pi\) |
0.316232 | + | 0.948682i | \(0.397582\pi\) | |||||||
\(938\) | −957.984 | − | 313.947i | −1.02130 | − | 0.334698i | ||||
\(939\) | −250.428 | − | 623.700i | −0.266697 | − | 0.664218i | ||||
\(940\) | −88.1025 | − | 298.505i | −0.0937261 | − | 0.317558i | ||||
\(941\) | 70.6791 | − | 122.420i | 0.0751106 | − | 0.130095i | −0.826024 | − | 0.563635i | \(-0.809402\pi\) |
0.901134 | + | 0.433540i | \(0.142736\pi\) | |||||||
\(942\) | 579.099 | + | 771.948i | 0.614755 | + | 0.819478i | ||||
\(943\) | −224.180 | + | 836.653i | −0.237731 | + | 0.887224i | ||||
\(944\) | 5.09208i | 0.00539415i | ||||||||
\(945\) | 848.841 | + | 415.323i | 0.898245 | + | 0.439495i | ||||
\(946\) | −663.674 | −0.701558 | ||||||||
\(947\) | 1746.87 | + | 468.071i | 1.84463 | + | 0.494267i | 0.999207 | − | 0.0398282i | \(-0.0126811\pi\) |
0.845424 | + | 0.534096i | \(0.179348\pi\) | |||||||
\(948\) | 494.130 | − | 370.686i | 0.521234 | − | 0.391019i | ||||
\(949\) | 327.532 | + | 189.101i | 0.345134 | + | 0.199263i | ||||
\(950\) | 103.170 | − | 114.130i | 0.108600 | − | 0.120137i | ||||
\(951\) | −1077.18 | + | 432.509i | −1.13268 | + | 0.454794i | ||||
\(952\) | −50.5363 | − | 56.4122i | −0.0530843 | − | 0.0592565i | ||||
\(953\) | 100.695 | + | 100.695i | 0.105661 | + | 0.105661i | 0.757961 | − | 0.652300i | \(-0.226196\pi\) |
−0.652300 | + | 0.757961i | \(0.726196\pi\) | |||||||
\(954\) | 293.436 | − | 1006.92i | 0.307585 | − | 1.05548i | ||||
\(955\) | 11.8495 | + | 470.152i | 0.0124078 | + | 0.492305i | ||||
\(956\) | −646.908 | − | 373.492i | −0.676682 | − | 0.390682i | ||||
\(957\) | −380.669 | + | 45.9073i | −0.397773 | + | 0.0479700i | ||||
\(958\) | −417.775 | − | 417.775i | −0.436091 | − | 0.436091i | ||||
\(959\) | −73.2619 | + | 1333.44i | −0.0763940 | + | 1.39045i | ||||
\(960\) | −118.737 | + | 17.3646i | −0.123684 | + | 0.0180881i | ||||
\(961\) | −480.487 | − | 832.227i | −0.499986 | − | 0.866002i | ||||
\(962\) | −394.968 | + | 105.831i | −0.410570 | + | 0.110012i | ||||
\(963\) | 516.947 | − | 852.000i | 0.536809 | − | 0.884735i | ||||
\(964\) | −106.106 | − | 183.781i | −0.110069 | − | 0.190644i | ||||
\(965\) | 161.944 | + | 39.0475i | 0.167818 | + | 0.0404637i | ||||
\(966\) | 78.0658 | − | 391.808i | 0.0808135 | − | 0.405598i | ||||
\(967\) | 259.912 | + | 259.912i | 0.268782 | + | 0.268782i | 0.828609 | − | 0.559827i | \(-0.189133\pi\) |
−0.559827 | + | 0.828609i | \(0.689133\pi\) | |||||||
\(968\) | 55.4746 | − | 207.034i | 0.0573084 | − | 0.213878i | ||||
\(969\) | −49.4372 | − | 7.05668i | −0.0510188 | − | 0.00728244i | ||||
\(970\) | −9.49608 | − | 376.775i | −0.00978977 | − | 0.388428i | ||||
\(971\) | −588.918 | − | 1020.04i | −0.606506 | − | 1.05050i | −0.991811 | − | 0.127711i | \(-0.959237\pi\) |
0.385305 | − | 0.922789i | \(-0.374096\pi\) | |||||||
\(972\) | −438.226 | − | 210.129i | −0.450849 | − | 0.216182i | ||||
\(973\) | −441.374 | − | 144.645i | −0.453622 | − | 0.148659i | ||||
\(974\) | −568.022 | −0.583184 | ||||||||
\(975\) | 168.231 | + | 364.687i | 0.172544 | + | 0.374037i | ||||
\(976\) | −353.600 | − | 204.151i | −0.362295 | − | 0.209171i | ||||
\(977\) | 46.8824 | + | 174.967i | 0.0479861 | + | 0.179086i | 0.985759 | − | 0.168161i | \(-0.0537830\pi\) |
−0.937773 | + | 0.347248i | \(0.887116\pi\) | |||||||
\(978\) | 496.861 | − | 59.9196i | 0.508038 | − | 0.0612675i | ||||
\(979\) | 647.602 | 0.661493 | ||||||||
\(980\) | −488.249 | − | 41.3927i | −0.498213 | − | 0.0422375i | ||||
\(981\) | 576.788 | − | 552.211i | 0.587959 | − | 0.562906i | ||||
\(982\) | −165.277 | + | 616.823i | −0.168307 | + | 0.628130i | ||||
\(983\) | −144.233 | − | 538.283i | −0.146727 | − | 0.547592i | −0.999672 | − | 0.0255925i | \(-0.991853\pi\) |
0.852946 | − | 0.522000i | \(-0.174814\pi\) | |||||||
\(984\) | −540.873 | − | 77.2044i | −0.549667 | − | 0.0784598i | ||||
\(985\) | −31.3838 | − | 106.333i | −0.0318617 | − | 0.107952i | ||||
\(986\) | 102.821 | 0.104281 | ||||||||
\(987\) | 42.5383 | + | 652.208i | 0.0430986 | + | 0.660798i | ||||
\(988\) | 32.9541 | − | 32.9541i | 0.0333543 | − | 0.0333543i | ||||
\(989\) | 469.392 | + | 813.011i | 0.474613 | + | 0.822053i | ||||
\(990\) | 1.46885 | + | 427.949i | 0.00148369 | + | 0.432271i | ||||
\(991\) | −191.237 | + | 331.232i | −0.192974 | + | 0.334240i | −0.946234 | − | 0.323482i | \(-0.895146\pi\) |
0.753261 | + | 0.657722i | \(0.228480\pi\) | |||||||
\(992\) | −0.238325 | + | 0.889441i | −0.000240247 | + | 0.000896614i | ||||
\(993\) | −744.972 | − | 318.119i | −0.750224 | − | 0.320362i | ||||
\(994\) | 644.726 | − | 987.320i | 0.648618 | − | 0.993280i | ||||
\(995\) | −178.250 | − | 291.520i | −0.179146 | − | 0.292985i | ||||
\(996\) | 111.664 | − | 142.290i | 0.112112 | − | 0.142861i | ||||
\(997\) | 233.051 | + | 869.759i | 0.233752 | + | 0.872376i | 0.978707 | + | 0.205261i | \(0.0658043\pi\) |
−0.744955 | + | 0.667115i | \(0.767529\pi\) | |||||||
\(998\) | −1154.28 | + | 309.288i | −1.15659 | + | 0.309908i | ||||
\(999\) | −1450.82 | + | 143.005i | −1.45228 | + | 0.143148i |
(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.w.b.17.14 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.16 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.12 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.7 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.7 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.12 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.16 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.14 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.16 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.12 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.12 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.16 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.14 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.7 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.7 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.14 | yes | 64 | 105.68 | odd | 12 | inner |