Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(103,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.6 | ||
Character | \(\chi\) | \(=\) | 570.103 |
Dual form | 570.2.x.b.487.6 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 0.258819 | + | 0.965926i | 0.149429 | + | 0.557678i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −1.99201 | − | 1.01583i | −0.890852 | − | 0.454293i | ||||
\(6\) | 0.500000 | + | 0.866025i | 0.204124 | + | 0.353553i | ||||
\(7\) | −0.219288 | + | 0.219288i | −0.0828830 | + | 0.0828830i | −0.747333 | − | 0.664450i | \(-0.768666\pi\) |
0.664450 | + | 0.747333i | \(0.268666\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −0.866025 | + | 0.500000i | −0.288675 | + | 0.166667i | ||||
\(10\) | −2.18705 | − | 0.465647i | −0.691605 | − | 0.147251i | ||||
\(11\) | 6.33127 | 1.90895 | 0.954475 | − | 0.298292i | \(-0.0964169\pi\) | ||||
0.954475 | + | 0.298292i | \(0.0964169\pi\) | |||||||
\(12\) | 0.707107 | + | 0.707107i | 0.204124 | + | 0.204124i | ||||
\(13\) | 3.59328 | + | 0.962817i | 0.996597 | + | 0.267037i | 0.720019 | − | 0.693954i | \(-0.244133\pi\) |
0.276578 | + | 0.960991i | \(0.410800\pi\) | |||||||
\(14\) | −0.155060 | + | 0.268571i | −0.0414415 | + | 0.0717787i | ||||
\(15\) | 0.465647 | − | 2.18705i | 0.120230 | − | 0.564693i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.885199 | + | 3.30361i | 0.214692 | + | 0.801243i | 0.986275 | + | 0.165113i | \(0.0527989\pi\) |
−0.771582 | + | 0.636129i | \(0.780534\pi\) | |||||||
\(18\) | −0.707107 | + | 0.707107i | −0.166667 | + | 0.166667i | ||||
\(19\) | 3.97083 | − | 1.79792i | 0.910970 | − | 0.412472i | ||||
\(20\) | −2.23304 | + | 0.116269i | −0.499324 | + | 0.0259985i | ||||
\(21\) | −0.268571 | − | 0.155060i | −0.0586071 | − | 0.0338368i | ||||
\(22\) | 6.11554 | − | 1.63865i | 1.30384 | − | 0.349362i | ||||
\(23\) | 0.601843 | − | 2.24611i | 0.125493 | − | 0.468346i | −0.874364 | − | 0.485271i | \(-0.838721\pi\) |
0.999857 | + | 0.0169251i | \(0.00538769\pi\) | |||||||
\(24\) | 0.866025 | + | 0.500000i | 0.176777 | + | 0.102062i | ||||
\(25\) | 2.93618 | + | 4.04708i | 0.587236 | + | 0.809416i | ||||
\(26\) | 3.72004 | 0.729560 | ||||||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | −0.0802649 | + | 0.299553i | −0.0151686 | + | 0.0566101i | ||||
\(29\) | −3.42716 | − | 5.93602i | −0.636408 | − | 1.10229i | −0.986215 | − | 0.165469i | \(-0.947086\pi\) |
0.349807 | − | 0.936822i | \(-0.386247\pi\) | |||||||
\(30\) | −0.116269 | − | 2.23304i | −0.0212277 | − | 0.407696i | ||||
\(31\) | 2.71491i | 0.487612i | 0.969824 | + | 0.243806i | \(0.0783960\pi\) | ||||
−0.969824 | + | 0.243806i | \(0.921604\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | 1.63865 | + | 6.11554i | 0.285253 | + | 1.06458i | ||||
\(34\) | 1.71007 | + | 2.96193i | 0.293275 | + | 0.507967i | ||||
\(35\) | 0.659581 | − | 0.214064i | 0.111490 | − | 0.0361833i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | 0.817873 | + | 0.817873i | 0.134457 | + | 0.134457i | 0.771132 | − | 0.636675i | \(-0.219691\pi\) |
−0.636675 | + | 0.771132i | \(0.719691\pi\) | |||||||
\(38\) | 3.37019 | − | 2.76439i | 0.546717 | − | 0.448443i | ||||
\(39\) | 3.72004i | 0.595683i | ||||||||
\(40\) | −2.12686 | + | 0.690261i | −0.336286 | + | 0.109140i | ||||
\(41\) | −8.81271 | − | 5.08802i | −1.37631 | − | 0.794616i | −0.384601 | − | 0.923083i | \(-0.625661\pi\) |
−0.991714 | + | 0.128468i | \(0.958994\pi\) | |||||||
\(42\) | −0.299553 | − | 0.0802649i | −0.0462220 | − | 0.0123851i | ||||
\(43\) | −8.44577 | + | 2.26304i | −1.28797 | + | 0.345110i | −0.836888 | − | 0.547374i | \(-0.815628\pi\) |
−0.451079 | + | 0.892484i | \(0.648961\pi\) | |||||||
\(44\) | 5.48304 | − | 3.16563i | 0.826599 | − | 0.477237i | ||||
\(45\) | 2.23304 | − | 0.116269i | 0.332882 | − | 0.0173323i | ||||
\(46\) | − | 2.32534i | − | 0.342853i | ||||||
\(47\) | −10.1917 | − | 2.73086i | −1.48661 | − | 0.398337i | −0.578021 | − | 0.816022i | \(-0.696175\pi\) |
−0.908592 | + | 0.417685i | \(0.862842\pi\) | |||||||
\(48\) | 0.965926 | + | 0.258819i | 0.139419 | + | 0.0373573i | ||||
\(49\) | 6.90383i | 0.986261i | ||||||||
\(50\) | 3.88359 | + | 3.14924i | 0.549223 | + | 0.445370i | ||||
\(51\) | −2.96193 | + | 1.71007i | −0.414754 | + | 0.239458i | ||||
\(52\) | 3.59328 | − | 0.962817i | 0.498299 | − | 0.133519i | ||||
\(53\) | 3.96536 | + | 1.06251i | 0.544684 | + | 0.145948i | 0.520660 | − | 0.853764i | \(-0.325686\pi\) |
0.0240232 | + | 0.999711i | \(0.492352\pi\) | |||||||
\(54\) | −0.866025 | − | 0.500000i | −0.117851 | − | 0.0680414i | ||||
\(55\) | −12.6119 | − | 6.43149i | −1.70059 | − | 0.867222i | ||||
\(56\) | 0.310120i | 0.0414415i | ||||||||
\(57\) | 2.76439 | + | 3.37019i | 0.366152 | + | 0.446392i | ||||
\(58\) | −4.84674 | − | 4.84674i | −0.636408 | − | 0.636408i | ||||
\(59\) | 0.367410 | − | 0.636373i | 0.0478327 | − | 0.0828487i | −0.841118 | − | 0.540852i | \(-0.818102\pi\) |
0.888950 | + | 0.458003i | \(0.151435\pi\) | |||||||
\(60\) | −0.690261 | − | 2.12686i | −0.0891123 | − | 0.274577i | ||||
\(61\) | 2.17131 | + | 3.76082i | 0.278008 | + | 0.481523i | 0.970890 | − | 0.239528i | \(-0.0769926\pi\) |
−0.692882 | + | 0.721051i | \(0.743659\pi\) | |||||||
\(62\) | 0.702670 | + | 2.62240i | 0.0892392 | + | 0.333045i | ||||
\(63\) | 0.0802649 | − | 0.299553i | 0.0101124 | − | 0.0377401i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −6.17978 | − | 5.56810i | −0.766508 | − | 0.690638i | ||||
\(66\) | 3.16563 | + | 5.48304i | 0.389663 | + | 0.674916i | ||||
\(67\) | −1.33519 | + | 4.98299i | −0.163119 | + | 0.608769i | 0.835154 | + | 0.550017i | \(0.185379\pi\) |
−0.998273 | + | 0.0587518i | \(0.981288\pi\) | |||||||
\(68\) | 2.41841 | + | 2.41841i | 0.293275 | + | 0.293275i | ||||
\(69\) | 2.32534 | 0.279938 | ||||||||
\(70\) | 0.581703 | − | 0.377482i | 0.0695268 | − | 0.0451177i | ||||
\(71\) | −1.14914 | − | 0.663459i | −0.136378 | − | 0.0787381i | 0.430258 | − | 0.902706i | \(-0.358422\pi\) |
−0.566637 | + | 0.823968i | \(0.691756\pi\) | |||||||
\(72\) | −0.258819 | + | 0.965926i | −0.0305021 | + | 0.113835i | ||||
\(73\) | 4.65396 | − | 1.24702i | 0.544705 | − | 0.145953i | 0.0240345 | − | 0.999711i | \(-0.492349\pi\) |
0.520670 | + | 0.853758i | \(0.325682\pi\) | |||||||
\(74\) | 1.00169 | + | 0.578323i | 0.116444 | + | 0.0672287i | ||||
\(75\) | −3.14924 | + | 3.88359i | −0.363643 | + | 0.448439i | ||||
\(76\) | 2.53987 | − | 3.54246i | 0.291344 | − | 0.406348i | ||||
\(77\) | −1.38837 | + | 1.38837i | −0.158219 | + | 0.158219i | ||||
\(78\) | 0.962817 | + | 3.59328i | 0.109018 | + | 0.406859i | ||||
\(79\) | 7.21799 | − | 12.5019i | 0.812088 | − | 1.40658i | −0.0993127 | − | 0.995056i | \(-0.531664\pi\) |
0.911400 | − | 0.411521i | \(-0.135002\pi\) | |||||||
\(80\) | −1.87574 | + | 1.21721i | −0.209714 | + | 0.136089i | ||||
\(81\) | 0.500000 | − | 0.866025i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −9.82930 | − | 2.63375i | −1.08546 | − | 0.290849i | ||||
\(83\) | −0.190572 | − | 0.190572i | −0.0209180 | − | 0.0209180i | 0.696570 | − | 0.717488i | \(-0.254708\pi\) |
−0.717488 | + | 0.696570i | \(0.754708\pi\) | |||||||
\(84\) | −0.310120 | −0.0338368 | ||||||||
\(85\) | 1.59258 | − | 7.48002i | 0.172740 | − | 0.811322i | ||||
\(86\) | −7.57227 | + | 4.37185i | −0.816539 | + | 0.471429i | ||||
\(87\) | 4.84674 | − | 4.84674i | 0.519625 | − | 0.519625i | ||||
\(88\) | 4.47688 | − | 4.47688i | 0.477237 | − | 0.477237i | ||||
\(89\) | 5.18194 | + | 8.97538i | 0.549284 | + | 0.951388i | 0.998324 | + | 0.0578761i | \(0.0184328\pi\) |
−0.449040 | + | 0.893512i | \(0.648234\pi\) | |||||||
\(90\) | 2.12686 | − | 0.690261i | 0.224191 | − | 0.0727599i | ||||
\(91\) | −0.999097 | + | 0.576829i | −0.104734 | + | 0.0604681i | ||||
\(92\) | −0.601843 | − | 2.24611i | −0.0627464 | − | 0.234173i | ||||
\(93\) | −2.62240 | + | 0.702670i | −0.271930 | + | 0.0728635i | ||||
\(94\) | −10.5512 | −1.08828 | ||||||||
\(95\) | −9.73630 | − | 0.452208i | −0.998923 | − | 0.0463955i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | −15.9044 | + | 4.26158i | −1.61485 | + | 0.432698i | −0.949484 | − | 0.313817i | \(-0.898392\pi\) |
−0.665368 | + | 0.746515i | \(0.731726\pi\) | |||||||
\(98\) | 1.78684 | + | 6.66858i | 0.180498 | + | 0.673629i | ||||
\(99\) | −5.48304 | + | 3.16563i | −0.551066 | + | 0.318158i | ||||
\(100\) | 4.56635 | + | 2.03678i | 0.456635 | + | 0.203678i | ||||
\(101\) | −6.97371 | − | 12.0788i | −0.693910 | − | 1.20189i | −0.970547 | − | 0.240913i | \(-0.922553\pi\) |
0.276636 | − | 0.960975i | \(-0.410780\pi\) | |||||||
\(102\) | −2.41841 | + | 2.41841i | −0.239458 | + | 0.239458i | ||||
\(103\) | −5.59928 | + | 5.59928i | −0.551714 | + | 0.551714i | −0.926935 | − | 0.375222i | \(-0.877567\pi\) |
0.375222 | + | 0.926935i | \(0.377567\pi\) | |||||||
\(104\) | 3.22165 | − | 1.86002i | 0.315909 | − | 0.182390i | ||||
\(105\) | 0.377482 | + | 0.581703i | 0.0368384 | + | 0.0567684i | ||||
\(106\) | 4.10524 | 0.398736 | ||||||||
\(107\) | 3.36656 | + | 3.36656i | 0.325458 | + | 0.325458i | 0.850856 | − | 0.525399i | \(-0.176084\pi\) |
−0.525399 | + | 0.850856i | \(0.676084\pi\) | |||||||
\(108\) | −0.965926 | − | 0.258819i | −0.0929463 | − | 0.0249049i | ||||
\(109\) | 5.03859 | − | 8.72710i | 0.482610 | − | 0.835904i | −0.517191 | − | 0.855870i | \(-0.673022\pi\) |
0.999801 | + | 0.0199656i | \(0.00635567\pi\) | |||||||
\(110\) | −13.8468 | − | 2.94814i | −1.32024 | − | 0.281094i | ||||
\(111\) | −0.578323 | + | 1.00169i | −0.0548920 | + | 0.0950758i | ||||
\(112\) | 0.0802649 | + | 0.299553i | 0.00758432 | + | 0.0283051i | ||||
\(113\) | 13.8254 | − | 13.8254i | 1.30059 | − | 1.30059i | 0.372589 | − | 0.927997i | \(-0.378470\pi\) |
0.927997 | − | 0.372589i | \(-0.121530\pi\) | |||||||
\(114\) | 3.54246 | + | 2.53987i | 0.331782 | + | 0.237881i | ||||
\(115\) | −3.48054 | + | 3.86289i | −0.324562 | + | 0.360216i | ||||
\(116\) | −5.93602 | − | 3.42716i | −0.551145 | − | 0.318204i | ||||
\(117\) | −3.59328 | + | 0.962817i | −0.332199 | + | 0.0890125i | ||||
\(118\) | 0.190185 | − | 0.709781i | 0.0175080 | − | 0.0653407i | ||||
\(119\) | −0.918554 | − | 0.530327i | −0.0842037 | − | 0.0486150i | ||||
\(120\) | −1.21721 | − | 1.87574i | −0.111116 | − | 0.171231i | ||||
\(121\) | 29.0850 | 2.64409 | ||||||||
\(122\) | 3.07070 | + | 3.07070i | 0.278008 | + | 0.278008i | ||||
\(123\) | 2.63375 | − | 9.82930i | 0.237478 | − | 0.886278i | ||||
\(124\) | 1.35745 | + | 2.35118i | 0.121903 | + | 0.211142i | ||||
\(125\) | −1.73774 | − | 11.0445i | −0.155429 | − | 0.987847i | ||||
\(126\) | − | 0.310120i | − | 0.0276277i | ||||||
\(127\) | −3.78398 | + | 14.1220i | −0.335774 | + | 1.25312i | 0.567254 | + | 0.823543i | \(0.308006\pi\) |
−0.903028 | + | 0.429582i | \(0.858661\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | −4.37185 | − | 7.57227i | −0.384920 | − | 0.666701i | ||||
\(130\) | −7.41034 | − | 3.77893i | −0.649930 | − | 0.331434i | ||||
\(131\) | −1.82083 | + | 3.15377i | −0.159087 | + | 0.275546i | −0.934540 | − | 0.355859i | \(-0.884188\pi\) |
0.775453 | + | 0.631405i | \(0.217522\pi\) | |||||||
\(132\) | 4.47688 | + | 4.47688i | 0.389663 | + | 0.389663i | ||||
\(133\) | −0.476491 | + | 1.26502i | −0.0413170 | + | 0.109691i | ||||
\(134\) | 5.15877i | 0.445650i | ||||||||
\(135\) | 0.690261 | + | 2.12686i | 0.0594082 | + | 0.183051i | ||||
\(136\) | 2.96193 | + | 1.71007i | 0.253984 | + | 0.146638i | ||||
\(137\) | −9.95833 | − | 2.66833i | −0.850798 | − | 0.227971i | −0.193031 | − | 0.981193i | \(-0.561832\pi\) |
−0.657766 | + | 0.753222i | \(0.728499\pi\) | |||||||
\(138\) | 2.24611 | − | 0.601843i | 0.191201 | − | 0.0512322i | ||||
\(139\) | −17.8754 | + | 10.3204i | −1.51617 | + | 0.875362i | −0.516352 | + | 0.856376i | \(0.672710\pi\) |
−0.999820 | + | 0.0189860i | \(0.993956\pi\) | |||||||
\(140\) | 0.464183 | − | 0.515175i | 0.0392306 | − | 0.0435402i | ||||
\(141\) | − | 10.5512i | − | 0.888574i | ||||||
\(142\) | −1.28170 | − | 0.343432i | −0.107558 | − | 0.0288201i | ||||
\(143\) | 22.7500 | + | 6.09586i | 1.90245 | + | 0.509761i | ||||
\(144\) | 1.00000i | 0.0833333i | ||||||||
\(145\) | 0.796943 | + | 15.3060i | 0.0661825 | + | 1.27109i | ||||
\(146\) | 4.17262 | − | 2.40907i | 0.345329 | − | 0.199376i | ||||
\(147\) | −6.66858 | + | 1.78684i | −0.550016 | + | 0.147376i | ||||
\(148\) | 1.11723 | + | 0.299362i | 0.0918361 | + | 0.0246074i | ||||
\(149\) | −16.7440 | − | 9.66714i | −1.37172 | − | 0.791963i | −0.380576 | − | 0.924750i | \(-0.624274\pi\) |
−0.991145 | + | 0.132787i | \(0.957607\pi\) | |||||||
\(150\) | −2.03678 | + | 4.56635i | −0.166303 | + | 0.372841i | ||||
\(151\) | 0.256188i | 0.0208483i | 0.999946 | + | 0.0104241i | \(0.00331817\pi\) | ||||
−0.999946 | + | 0.0104241i | \(0.996682\pi\) | |||||||
\(152\) | 1.53647 | − | 4.07912i | 0.124625 | − | 0.330861i | ||||
\(153\) | −2.41841 | − | 2.41841i | −0.195517 | − | 0.195517i | ||||
\(154\) | −0.981725 | + | 1.70040i | −0.0791097 | + | 0.137022i | ||||
\(155\) | 2.75788 | − | 5.40811i | 0.221519 | − | 0.434390i | ||||
\(156\) | 1.86002 | + | 3.22165i | 0.148921 | + | 0.257938i | ||||
\(157\) | 2.49533 | + | 9.31270i | 0.199149 | + | 0.743234i | 0.991154 | + | 0.132719i | \(0.0423708\pi\) |
−0.792005 | + | 0.610515i | \(0.790963\pi\) | |||||||
\(158\) | 3.73631 | − | 13.9441i | 0.297245 | − | 1.10933i | ||||
\(159\) | 4.10524i | 0.325567i | ||||||||
\(160\) | −1.49679 | + | 1.66121i | −0.118331 | + | 0.131331i | ||||
\(161\) | 0.360567 | + | 0.624520i | 0.0284167 | + | 0.0492191i | ||||
\(162\) | 0.258819 | − | 0.965926i | 0.0203347 | − | 0.0758903i | ||||
\(163\) | −0.0203626 | − | 0.0203626i | −0.00159492 | − | 0.00159492i | 0.706309 | − | 0.707904i | \(-0.250359\pi\) |
−0.707904 | + | 0.706309i | \(0.750359\pi\) | |||||||
\(164\) | −10.1760 | −0.794616 | ||||||||
\(165\) | 2.94814 | − | 13.8468i | 0.229512 | − | 1.07797i | ||||
\(166\) | −0.233403 | − | 0.134755i | −0.0181156 | − | 0.0104590i | ||||
\(167\) | −0.467473 | + | 1.74463i | −0.0361741 | + | 0.135004i | −0.981651 | − | 0.190684i | \(-0.938929\pi\) |
0.945477 | + | 0.325688i | \(0.105596\pi\) | |||||||
\(168\) | −0.299553 | + | 0.0802649i | −0.0231110 | + | 0.00619257i | ||||
\(169\) | 0.726336 | + | 0.419351i | 0.0558720 | + | 0.0322577i | ||||
\(170\) | −0.397656 | − | 7.63733i | −0.0304988 | − | 0.585757i | ||||
\(171\) | −2.53987 | + | 3.54246i | −0.194229 | + | 0.270899i | ||||
\(172\) | −6.18273 | + | 6.18273i | −0.471429 | + | 0.471429i | ||||
\(173\) | 5.96891 | + | 22.2763i | 0.453808 | + | 1.69363i | 0.691568 | + | 0.722311i | \(0.256920\pi\) |
−0.237760 | + | 0.971324i | \(0.576413\pi\) | |||||||
\(174\) | 3.42716 | − | 5.93602i | 0.259812 | − | 0.450008i | ||||
\(175\) | −1.53134 | − | 0.243607i | −0.115759 | − | 0.0184149i | ||||
\(176\) | 3.16563 | − | 5.48304i | 0.238619 | − | 0.413300i | ||||
\(177\) | 0.709781 | + | 0.190185i | 0.0533504 | + | 0.0142952i | ||||
\(178\) | 7.32836 | + | 7.32836i | 0.549284 | + | 0.549284i | ||||
\(179\) | −14.9146 | −1.11477 | −0.557383 | − | 0.830255i | \(-0.688195\pi\) | ||||
−0.557383 | + | 0.830255i | \(0.688195\pi\) | |||||||
\(180\) | 1.87574 | − | 1.21721i | 0.139809 | − | 0.0907257i | ||||
\(181\) | 3.95519 | − | 2.28353i | 0.293987 | − | 0.169733i | −0.345752 | − | 0.938326i | \(-0.612376\pi\) |
0.639738 | + | 0.768593i | \(0.279043\pi\) | |||||||
\(182\) | −0.815759 | + | 0.815759i | −0.0604681 | + | 0.0604681i | ||||
\(183\) | −3.07070 | + | 3.07070i | −0.226992 | + | 0.226992i | ||||
\(184\) | −1.16267 | − | 2.01380i | −0.0857132 | − | 0.148460i | ||||
\(185\) | −0.798388 | − | 2.46003i | −0.0586987 | − | 0.180865i | ||||
\(186\) | −2.35118 | + | 1.35745i | −0.172397 | + | 0.0995334i | ||||
\(187\) | 5.60443 | + | 20.9160i | 0.409837 | + | 1.52953i | ||||
\(188\) | −10.1917 | + | 2.73086i | −0.743307 | + | 0.199168i | ||||
\(189\) | 0.310120 | 0.0225579 | ||||||||
\(190\) | −9.52158 | + | 2.08314i | −0.690768 | + | 0.151127i | ||||
\(191\) | −17.4658 | −1.26378 | −0.631889 | − | 0.775059i | \(-0.717720\pi\) | ||||
−0.631889 | + | 0.775059i | \(0.717720\pi\) | |||||||
\(192\) | 0.965926 | − | 0.258819i | 0.0697097 | − | 0.0186787i | ||||
\(193\) | 0.458612 | + | 1.71156i | 0.0330116 | + | 0.123201i | 0.980465 | − | 0.196692i | \(-0.0630198\pi\) |
−0.947454 | + | 0.319893i | \(0.896353\pi\) | |||||||
\(194\) | −14.2595 | + | 8.23275i | −1.02378 | + | 0.591077i | ||||
\(195\) | 3.77893 | − | 7.41034i | 0.270615 | − | 0.530666i | ||||
\(196\) | 3.45191 | + | 5.97889i | 0.246565 | + | 0.427063i | ||||
\(197\) | −4.89640 | + | 4.89640i | −0.348854 | + | 0.348854i | −0.859683 | − | 0.510829i | \(-0.829339\pi\) |
0.510829 | + | 0.859683i | \(0.329339\pi\) | |||||||
\(198\) | −4.47688 | + | 4.47688i | −0.318158 | + | 0.318158i | ||||
\(199\) | 6.60568 | − | 3.81379i | 0.468264 | − | 0.270352i | −0.247249 | − | 0.968952i | \(-0.579526\pi\) |
0.715513 | + | 0.698600i | \(0.246193\pi\) | |||||||
\(200\) | 4.93791 | + | 0.785525i | 0.349163 | + | 0.0555450i | ||||
\(201\) | −5.15877 | −0.363871 | ||||||||
\(202\) | −9.86232 | − | 9.86232i | −0.693910 | − | 0.693910i | ||||
\(203\) | 2.05323 | + | 0.550161i | 0.144108 | + | 0.0386137i | ||||
\(204\) | −1.71007 | + | 2.96193i | −0.119729 | + | 0.207377i | ||||
\(205\) | 12.3864 | + | 19.0876i | 0.865105 | + | 1.33314i | ||||
\(206\) | −3.95929 | + | 6.85769i | −0.275857 | + | 0.477798i | ||||
\(207\) | 0.601843 | + | 2.24611i | 0.0418310 | + | 0.156115i | ||||
\(208\) | 2.63047 | − | 2.63047i | 0.182390 | − | 0.182390i | ||||
\(209\) | 25.1404 | − | 11.3831i | 1.73900 | − | 0.787388i | ||||
\(210\) | 0.515175 | + | 0.464183i | 0.0355505 | + | 0.0320316i | ||||
\(211\) | −0.170890 | − | 0.0986634i | −0.0117646 | − | 0.00679227i | 0.494106 | − | 0.869402i | \(-0.335495\pi\) |
−0.505871 | + | 0.862609i | \(0.668829\pi\) | |||||||
\(212\) | 3.96536 | − | 1.06251i | 0.272342 | − | 0.0729738i | ||||
\(213\) | 0.343432 | − | 1.28170i | 0.0235315 | − | 0.0878209i | ||||
\(214\) | 4.12318 | + | 2.38052i | 0.281855 | + | 0.162729i | ||||
\(215\) | 19.1229 | + | 4.07148i | 1.30417 | + | 0.277673i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −0.595346 | − | 0.595346i | −0.0404147 | − | 0.0404147i | ||||
\(218\) | 2.60817 | − | 9.73381i | 0.176647 | − | 0.659257i | ||||
\(219\) | 2.40907 | + | 4.17262i | 0.162790 | + | 0.281960i | ||||
\(220\) | −14.1380 | + | 0.736129i | −0.953183 | + | 0.0496298i | ||||
\(221\) | 12.7231i | 0.855847i | ||||||||
\(222\) | −0.299362 | + | 1.11723i | −0.0200919 | + | 0.0749839i | ||||
\(223\) | −3.25559 | − | 12.1500i | −0.218010 | − | 0.813625i | −0.985085 | − | 0.172067i | \(-0.944955\pi\) |
0.767075 | − | 0.641557i | \(-0.221711\pi\) | |||||||
\(224\) | 0.155060 | + | 0.268571i | 0.0103604 | + | 0.0179447i | ||||
\(225\) | −4.56635 | − | 2.03678i | −0.304423 | − | 0.135786i | ||||
\(226\) | 9.77604 | − | 16.9326i | 0.650293 | − | 1.12634i | ||||
\(227\) | 3.56929 | + | 3.56929i | 0.236902 | + | 0.236902i | 0.815566 | − | 0.578664i | \(-0.196426\pi\) |
−0.578664 | + | 0.815566i | \(0.696426\pi\) | |||||||
\(228\) | 4.07912 | + | 1.53647i | 0.270147 | + | 0.101755i | ||||
\(229\) | − | 22.9254i | − | 1.51495i | −0.652862 | − | 0.757476i | \(-0.726432\pi\) | ||
0.652862 | − | 0.757476i | \(-0.273568\pi\) | |||||||
\(230\) | −2.36215 | + | 4.63209i | −0.155756 | + | 0.305431i | ||||
\(231\) | −1.70040 | − | 0.981725i | −0.111878 | − | 0.0645928i | ||||
\(232\) | −6.62077 | − | 1.77403i | −0.434675 | − | 0.116471i | ||||
\(233\) | 6.05339 | − | 1.62200i | 0.396571 | − | 0.106261i | −0.0550216 | − | 0.998485i | \(-0.517523\pi\) |
0.451592 | + | 0.892224i | \(0.350856\pi\) | |||||||
\(234\) | −3.22165 | + | 1.86002i | −0.210606 | + | 0.121593i | ||||
\(235\) | 17.5279 | + | 15.7929i | 1.14339 | + | 1.03022i | ||||
\(236\) | − | 0.734820i | − | 0.0478327i | ||||||
\(237\) | 13.9441 | + | 3.73631i | 0.905766 | + | 0.242699i | ||||
\(238\) | −1.02451 | − | 0.274518i | −0.0664093 | − | 0.0177943i | ||||
\(239\) | − | 22.5950i | − | 1.46155i | −0.682618 | − | 0.730775i | \(-0.739159\pi\) | ||
0.682618 | − | 0.730775i | \(-0.260841\pi\) | |||||||
\(240\) | −1.66121 | − | 1.49679i | −0.107231 | − | 0.0966171i | ||||
\(241\) | −0.0802518 | + | 0.0463334i | −0.00516947 | + | 0.00298460i | −0.502583 | − | 0.864529i | \(-0.667617\pi\) |
0.497413 | + | 0.867514i | \(0.334283\pi\) | |||||||
\(242\) | 28.0939 | − | 7.52774i | 1.80595 | − | 0.483902i | ||||
\(243\) | 0.965926 | + | 0.258819i | 0.0619642 | + | 0.0166032i | ||||
\(244\) | 3.76082 | + | 2.17131i | 0.240762 | + | 0.139004i | ||||
\(245\) | 7.01311 | − | 13.7525i | 0.448051 | − | 0.878613i | ||||
\(246\) | − | 10.1760i | − | 0.648801i | ||||||
\(247\) | 15.9994 | − | 2.63727i | 1.01802 | − | 0.167806i | ||||
\(248\) | 1.91973 | + | 1.91973i | 0.121903 | + | 0.121903i | ||||
\(249\) | 0.134755 | − | 0.233403i | 0.00853975 | − | 0.0147913i | ||||
\(250\) | −4.53705 | − | 10.2184i | −0.286948 | − | 0.646267i | ||||
\(251\) | 4.59120 | + | 7.95219i | 0.289794 | + | 0.501938i | 0.973760 | − | 0.227576i | \(-0.0730799\pi\) |
−0.683966 | + | 0.729514i | \(0.739747\pi\) | |||||||
\(252\) | −0.0802649 | − | 0.299553i | −0.00505621 | − | 0.0188700i | ||||
\(253\) | 3.81043 | − | 14.2207i | 0.239559 | − | 0.894048i | ||||
\(254\) | 14.6202i | 0.917351i | ||||||||
\(255\) | 7.63733 | − | 0.397656i | 0.478268 | − | 0.0249022i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 2.08691 | − | 7.78847i | 0.130178 | − | 0.485831i | −0.869793 | − | 0.493417i | \(-0.835748\pi\) |
0.999971 | + | 0.00758535i | \(0.00241451\pi\) | |||||||
\(258\) | −6.18273 | − | 6.18273i | −0.384920 | − | 0.384920i | ||||
\(259\) | −0.358699 | −0.0222885 | ||||||||
\(260\) | −8.13590 | − | 1.73223i | −0.504567 | − | 0.107428i | ||||
\(261\) | 5.93602 | + | 3.42716i | 0.367430 | + | 0.212136i | ||||
\(262\) | −0.942531 | + | 3.51757i | −0.0582297 | + | 0.217316i | ||||
\(263\) | −14.4774 | + | 3.87921i | −0.892715 | + | 0.239202i | −0.675885 | − | 0.737007i | \(-0.736238\pi\) |
−0.216830 | + | 0.976209i | \(0.569572\pi\) | |||||||
\(264\) | 5.48304 | + | 3.16563i | 0.337458 | + | 0.194831i | ||||
\(265\) | −6.81968 | − | 6.14466i | −0.418930 | − | 0.377464i | ||||
\(266\) | −0.132844 | + | 1.34524i | −0.00814522 | + | 0.0824818i | ||||
\(267\) | −7.32836 | + | 7.32836i | −0.448489 | + | 0.448489i | ||||
\(268\) | 1.33519 | + | 4.98299i | 0.0815595 | + | 0.304384i | ||||
\(269\) | 0.866982 | − | 1.50166i | 0.0528608 | − | 0.0915576i | −0.838384 | − | 0.545080i | \(-0.816499\pi\) |
0.891245 | + | 0.453522i | \(0.149833\pi\) | |||||||
\(270\) | 1.21721 | + | 1.87574i | 0.0740772 | + | 0.114154i | ||||
\(271\) | −0.460704 | + | 0.797963i | −0.0279858 | + | 0.0484728i | −0.879679 | − | 0.475568i | \(-0.842243\pi\) |
0.851693 | + | 0.524041i | \(0.175576\pi\) | |||||||
\(272\) | 3.30361 | + | 0.885199i | 0.200311 | + | 0.0536731i | ||||
\(273\) | −0.815759 | − | 0.815759i | −0.0493720 | − | 0.0493720i | ||||
\(274\) | −10.3096 | −0.622827 | ||||||||
\(275\) | 18.5897 | + | 25.6231i | 1.12100 | + | 1.54513i | ||||
\(276\) | 2.01380 | − | 1.16267i | 0.121217 | − | 0.0699845i | ||||
\(277\) | 1.31226 | − | 1.31226i | 0.0788458 | − | 0.0788458i | −0.666584 | − | 0.745430i | \(-0.732244\pi\) |
0.745430 | + | 0.666584i | \(0.232244\pi\) | |||||||
\(278\) | −14.5952 | + | 14.5952i | −0.875362 | + | 0.875362i | ||||
\(279\) | −1.35745 | − | 2.35118i | −0.0812687 | − | 0.140761i | ||||
\(280\) | 0.315029 | − | 0.617760i | 0.0188266 | − | 0.0369182i | ||||
\(281\) | 17.2366 | − | 9.95154i | 1.02825 | − | 0.593659i | 0.111766 | − | 0.993735i | \(-0.464349\pi\) |
0.916482 | + | 0.400075i | \(0.131016\pi\) | |||||||
\(282\) | −2.73086 | − | 10.1917i | −0.162620 | − | 0.606907i | ||||
\(283\) | −30.2967 | + | 8.11799i | −1.80095 | + | 0.482564i | −0.994127 | − | 0.108222i | \(-0.965484\pi\) |
−0.806828 | + | 0.590786i | \(0.798818\pi\) | |||||||
\(284\) | −1.32692 | −0.0787381 | ||||||||
\(285\) | −2.08314 | − | 9.52158i | −0.123395 | − | 0.564010i | ||||
\(286\) | 23.5526 | 1.39269 | ||||||||
\(287\) | 3.04826 | − | 0.816779i | 0.179933 | − | 0.0482129i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | 4.59219 | − | 2.65130i | 0.270129 | − | 0.155959i | ||||
\(290\) | 4.73127 | + | 14.5782i | 0.277830 | + | 0.856061i | ||||
\(291\) | −8.23275 | − | 14.2595i | −0.482612 | − | 0.835909i | ||||
\(292\) | 3.40693 | − | 3.40693i | 0.199376 | − | 0.199376i | ||||
\(293\) | −8.23657 | + | 8.23657i | −0.481185 | + | 0.481185i | −0.905510 | − | 0.424325i | \(-0.860511\pi\) |
0.424325 | + | 0.905510i | \(0.360511\pi\) | |||||||
\(294\) | −5.97889 | + | 3.45191i | −0.348696 | + | 0.201320i | ||||
\(295\) | −1.37833 | + | 0.894432i | −0.0802494 | + | 0.0520759i | ||||
\(296\) | 1.15665 | 0.0672287 | ||||||||
\(297\) | −4.47688 | − | 4.47688i | −0.259775 | − | 0.259775i | ||||
\(298\) | −18.6755 | − | 5.00408i | −1.08184 | − | 0.289879i | ||||
\(299\) | 4.32518 | − | 7.49143i | 0.250132 | − | 0.433241i | ||||
\(300\) | −0.785525 | + | 4.93791i | −0.0453523 | + | 0.285090i | ||||
\(301\) | 1.35580 | − | 2.34831i | 0.0781468 | − | 0.135354i | ||||
\(302\) | 0.0663064 | + | 0.247459i | 0.00381550 | + | 0.0142397i | ||||
\(303\) | 9.86232 | − | 9.86232i | 0.566576 | − | 0.566576i | ||||
\(304\) | 0.428365 | − | 4.33780i | 0.0245684 | − | 0.248790i | ||||
\(305\) | −0.504911 | − | 9.69725i | −0.0289111 | − | 0.555263i | ||||
\(306\) | −2.96193 | − | 1.71007i | −0.169322 | − | 0.0977584i | ||||
\(307\) | 4.07756 | − | 1.09258i | 0.232719 | − | 0.0623568i | −0.140575 | − | 0.990070i | \(-0.544895\pi\) |
0.373294 | + | 0.927713i | \(0.378228\pi\) | |||||||
\(308\) | −0.508178 | + | 1.89655i | −0.0289562 | + | 0.108066i | ||||
\(309\) | −6.85769 | − | 3.95929i | −0.390120 | − | 0.225236i | ||||
\(310\) | 1.26419 | − | 5.93763i | 0.0718011 | − | 0.337235i | ||||
\(311\) | −11.0780 | −0.628178 | −0.314089 | − | 0.949393i | \(-0.601699\pi\) | ||||
−0.314089 | + | 0.949393i | \(0.601699\pi\) | |||||||
\(312\) | 2.63047 | + | 2.63047i | 0.148921 | + | 0.148921i | ||||
\(313\) | 5.84492 | − | 21.8136i | 0.330375 | − | 1.23297i | −0.578423 | − | 0.815737i | \(-0.696332\pi\) |
0.908797 | − | 0.417238i | \(-0.137002\pi\) | |||||||
\(314\) | 4.82061 | + | 8.34953i | 0.272043 | + | 0.471191i | ||||
\(315\) | −0.464183 | + | 0.515175i | −0.0261537 | + | 0.0290268i | ||||
\(316\) | − | 14.4360i | − | 0.812088i | ||||||
\(317\) | −4.74943 | + | 17.7251i | −0.266755 | + | 0.995543i | 0.694413 | + | 0.719577i | \(0.255664\pi\) |
−0.961168 | + | 0.275966i | \(0.911002\pi\) | |||||||
\(318\) | 1.06251 | + | 3.96536i | 0.0595828 | + | 0.222366i | ||||
\(319\) | −21.6983 | − | 37.5825i | −1.21487 | − | 2.10422i | ||||
\(320\) | −1.01583 | + | 1.99201i | −0.0567866 | + | 0.111357i | ||||
\(321\) | −2.38052 | + | 4.12318i | −0.132868 | + | 0.230133i | ||||
\(322\) | 0.509919 | + | 0.509919i | 0.0284167 | + | 0.0284167i | ||||
\(323\) | 9.45461 | + | 11.5265i | 0.526068 | + | 0.641353i | ||||
\(324\) | − | 1.00000i | − | 0.0555556i | ||||||
\(325\) | 6.65393 | + | 17.3693i | 0.369093 | + | 0.963476i | ||||
\(326\) | −0.0249390 | − | 0.0143985i | −0.00138124 | − | 0.000797461i | ||||
\(327\) | 9.73381 | + | 2.60817i | 0.538281 | + | 0.144232i | ||||
\(328\) | −9.82930 | + | 2.63375i | −0.542732 | + | 0.145425i | ||||
\(329\) | 2.83376 | − | 1.63607i | 0.156230 | − | 0.0901996i | ||||
\(330\) | −0.736129 | − | 14.1380i | −0.0405225 | − | 0.778271i | ||||
\(331\) | − | 1.63560i | − | 0.0899008i | −0.998989 | − | 0.0449504i | \(-0.985687\pi\) | ||
0.998989 | − | 0.0449504i | \(-0.0143130\pi\) | |||||||
\(332\) | −0.260327 | − | 0.0697543i | −0.0142873 | − | 0.00382827i | ||||
\(333\) | −1.11723 | − | 0.299362i | −0.0612241 | − | 0.0164049i | ||||
\(334\) | 1.80618i | 0.0988295i | ||||||||
\(335\) | 7.72157 | − | 8.56982i | 0.421874 | − | 0.468219i | ||||
\(336\) | −0.268571 | + | 0.155060i | −0.0146518 | + | 0.00845921i | ||||
\(337\) | 0.514208 | − | 0.137782i | 0.0280107 | − | 0.00750545i | −0.244786 | − | 0.969577i | \(-0.578718\pi\) |
0.272797 | + | 0.962072i | \(0.412051\pi\) | |||||||
\(338\) | 0.810123 | + | 0.217072i | 0.0440649 | + | 0.0118072i | ||||
\(339\) | 16.9326 | + | 9.77604i | 0.919653 | + | 0.530962i | ||||
\(340\) | −2.36079 | − | 7.27418i | −0.128032 | − | 0.394498i | ||||
\(341\) | 17.1888i | 0.930826i | ||||||||
\(342\) | −1.53647 | + | 4.07912i | −0.0830830 | + | 0.220574i | ||||
\(343\) | −3.04894 | − | 3.04894i | −0.164627 | − | 0.164627i | ||||
\(344\) | −4.37185 | + | 7.57227i | −0.235714 | + | 0.408269i | ||||
\(345\) | −4.63209 | − | 2.36215i | −0.249384 | − | 0.127174i | ||||
\(346\) | 11.5311 | + | 19.9724i | 0.619913 | + | 1.07372i | ||||
\(347\) | 0.501655 | + | 1.87220i | 0.0269303 | + | 0.100505i | 0.978083 | − | 0.208216i | \(-0.0667657\pi\) |
−0.951153 | + | 0.308721i | \(0.900099\pi\) | |||||||
\(348\) | 1.77403 | − | 6.62077i | 0.0950979 | − | 0.354910i | ||||
\(349\) | 21.3205i | 1.14126i | 0.821208 | + | 0.570629i | \(0.193301\pi\) | ||||
−0.821208 | + | 0.570629i | \(0.806699\pi\) | |||||||
\(350\) | −1.54221 | + | 0.161035i | −0.0824348 | + | 0.00860766i | ||||
\(351\) | −1.86002 | − | 3.22165i | −0.0992805 | − | 0.171959i | ||||
\(352\) | 1.63865 | − | 6.11554i | 0.0873405 | − | 0.325959i | ||||
\(353\) | 18.3308 | + | 18.3308i | 0.975651 | + | 0.975651i | 0.999711 | − | 0.0240595i | \(-0.00765912\pi\) |
−0.0240595 | + | 0.999711i | \(0.507659\pi\) | |||||||
\(354\) | 0.734820 | 0.0390552 | ||||||||
\(355\) | 1.61514 | + | 2.48895i | 0.0857228 | + | 0.132100i | ||||
\(356\) | 8.97538 | + | 5.18194i | 0.475694 | + | 0.274642i | ||||
\(357\) | 0.274518 | − | 1.02451i | 0.0145290 | − | 0.0542230i | ||||
\(358\) | −14.4064 | + | 3.86017i | −0.761400 | + | 0.204016i | ||||
\(359\) | −26.9383 | − | 15.5528i | −1.42175 | − | 0.820847i | −0.425300 | − | 0.905053i | \(-0.639831\pi\) |
−0.996448 | + | 0.0842061i | \(0.973165\pi\) | |||||||
\(360\) | 1.49679 | − | 1.66121i | 0.0788875 | − | 0.0875537i | ||||
\(361\) | 12.5349 | − | 14.2785i | 0.659733 | − | 0.751500i | ||||
\(362\) | 3.22940 | − | 3.22940i | 0.169733 | − | 0.169733i | ||||
\(363\) | 7.52774 | + | 28.0939i | 0.395104 | + | 1.47455i | ||||
\(364\) | −0.576829 | + | 0.999097i | −0.0302340 | + | 0.0523669i | ||||
\(365\) | −10.5375 | − | 2.24355i | −0.551557 | − | 0.117433i | ||||
\(366\) | −2.17131 | + | 3.76082i | −0.113496 | + | 0.196581i | ||||
\(367\) | 28.8125 | + | 7.72029i | 1.50400 | + | 0.402996i | 0.914438 | − | 0.404726i | \(-0.132633\pi\) |
0.589563 | + | 0.807722i | \(0.299300\pi\) | |||||||
\(368\) | −1.64426 | − | 1.64426i | −0.0857132 | − | 0.0857132i | ||||
\(369\) | 10.1760 | 0.529744 | ||||||||
\(370\) | −1.40789 | − | 2.16957i | −0.0731925 | − | 0.112790i | ||||
\(371\) | −1.10255 | + | 0.636558i | −0.0572416 | + | 0.0330484i | ||||
\(372\) | −1.91973 | + | 1.91973i | −0.0995334 | + | 0.0995334i | ||||
\(373\) | 13.3691 | − | 13.3691i | 0.692226 | − | 0.692226i | −0.270495 | − | 0.962721i | \(-0.587187\pi\) |
0.962721 | + | 0.270495i | \(0.0871874\pi\) | |||||||
\(374\) | 10.8269 | + | 18.7528i | 0.559847 | + | 0.969684i | ||||
\(375\) | 10.2184 | − | 4.53705i | 0.527675 | − | 0.234292i | ||||
\(376\) | −9.13763 | + | 5.27562i | −0.471237 | + | 0.272069i | ||||
\(377\) | −6.59946 | − | 24.6295i | −0.339889 | − | 1.26848i | ||||
\(378\) | 0.299553 | − | 0.0802649i | 0.0154073 | − | 0.00412838i | ||||
\(379\) | 32.1397 | 1.65091 | 0.825453 | − | 0.564471i | \(-0.190920\pi\) | ||||
0.825453 | + | 0.564471i | \(0.190920\pi\) | |||||||
\(380\) | −8.65799 | + | 4.47653i | −0.444145 | + | 0.229641i | ||||
\(381\) | −14.6202 | −0.749014 | ||||||||
\(382\) | −16.8706 | + | 4.52047i | −0.863177 | + | 0.231288i | ||||
\(383\) | 0.941979 | + | 3.51551i | 0.0481329 | + | 0.179634i | 0.985807 | − | 0.167880i | \(-0.0536923\pi\) |
−0.937674 | + | 0.347515i | \(0.887026\pi\) | |||||||
\(384\) | 0.866025 | − | 0.500000i | 0.0441942 | − | 0.0255155i | ||||
\(385\) | 4.17599 | − | 1.35529i | 0.212828 | − | 0.0690722i | ||||
\(386\) | 0.885971 | + | 1.53455i | 0.0450947 | + | 0.0781063i | ||||
\(387\) | 6.18273 | − | 6.18273i | 0.314286 | − | 0.314286i | ||||
\(388\) | −11.6429 | + | 11.6429i | −0.591077 | + | 0.591077i | ||||
\(389\) | 12.1029 | − | 6.98763i | 0.613642 | − | 0.354287i | −0.160747 | − | 0.986996i | \(-0.551390\pi\) |
0.774390 | + | 0.632709i | \(0.218057\pi\) | |||||||
\(390\) | 1.73223 | − | 8.13590i | 0.0877147 | − | 0.411977i | ||||
\(391\) | 7.95301 | 0.402201 | ||||||||
\(392\) | 4.88174 | + | 4.88174i | 0.246565 | + | 0.246565i | ||||
\(393\) | −3.51757 | − | 0.942531i | −0.177438 | − | 0.0475444i | ||||
\(394\) | −3.46228 | + | 5.99684i | −0.174427 | + | 0.302116i | ||||
\(395\) | −27.0781 | + | 17.5717i | −1.36245 | + | 0.884127i | ||||
\(396\) | −3.16563 | + | 5.48304i | −0.159079 | + | 0.275533i | ||||
\(397\) | −1.08210 | − | 4.03846i | −0.0543091 | − | 0.202684i | 0.933440 | − | 0.358733i | \(-0.116791\pi\) |
−0.987749 | + | 0.156048i | \(0.950124\pi\) | |||||||
\(398\) | 5.39351 | − | 5.39351i | 0.270352 | − | 0.270352i | ||||
\(399\) | −1.34524 | − | 0.132844i | −0.0673461 | − | 0.00665054i | ||||
\(400\) | 4.97296 | − | 0.519266i | 0.248648 | − | 0.0259633i | ||||
\(401\) | 26.2536 | + | 15.1575i | 1.31104 | + | 0.756931i | 0.982269 | − | 0.187477i | \(-0.0600310\pi\) |
0.328775 | + | 0.944408i | \(0.393364\pi\) | |||||||
\(402\) | −4.98299 | + | 1.33519i | −0.248529 | + | 0.0665931i | ||||
\(403\) | −2.61396 | + | 9.75543i | −0.130211 | + | 0.485953i | ||||
\(404\) | −12.0788 | − | 6.97371i | −0.600944 | − | 0.346955i | ||||
\(405\) | −1.87574 | + | 1.21721i | −0.0932062 | + | 0.0604838i | ||||
\(406\) | 2.12566 | 0.105495 | ||||||||
\(407\) | 5.17817 | + | 5.17817i | 0.256672 | + | 0.256672i | ||||
\(408\) | −0.885199 | + | 3.30361i | −0.0438239 | + | 0.163553i | ||||
\(409\) | −6.92849 | − | 12.0005i | −0.342592 | − | 0.593387i | 0.642321 | − | 0.766435i | \(-0.277971\pi\) |
−0.984913 | + | 0.173049i | \(0.944638\pi\) | |||||||
\(410\) | 16.9046 | + | 15.2314i | 0.834858 | + | 0.752223i | ||||
\(411\) | − | 10.3096i | − | 0.508536i | ||||||
\(412\) | −2.04948 | + | 7.64876i | −0.100971 | + | 0.376827i | ||||
\(413\) | 0.0589802 | + | 0.220117i | 0.00290223 | + | 0.0108313i | ||||
\(414\) | 1.16267 | + | 2.01380i | 0.0571421 | + | 0.0989731i | ||||
\(415\) | 0.186032 | + | 0.573211i | 0.00913197 | + | 0.0281378i | ||||
\(416\) | 1.86002 | − | 3.22165i | 0.0911950 | − | 0.157954i | ||||
\(417\) | −14.5952 | − | 14.5952i | −0.714730 | − | 0.714730i | ||||
\(418\) | 21.3376 | − | 17.5021i | 1.04365 | − | 0.856055i | ||||
\(419\) | 34.6356i | 1.69206i | 0.533135 | + | 0.846030i | \(0.321014\pi\) | ||||
−0.533135 | + | 0.846030i | \(0.678986\pi\) | |||||||
\(420\) | 0.617760 | + | 0.315029i | 0.0301436 | + | 0.0153718i | ||||
\(421\) | −11.2641 | − | 6.50334i | −0.548979 | − | 0.316953i | 0.199731 | − | 0.979851i | \(-0.435993\pi\) |
−0.748710 | + | 0.662898i | \(0.769326\pi\) | |||||||
\(422\) | −0.190603 | − | 0.0510720i | −0.00927842 | − | 0.00248614i | ||||
\(423\) | 10.1917 | − | 2.73086i | 0.495538 | − | 0.132779i | ||||
\(424\) | 3.55524 | − | 2.05262i | 0.172658 | − | 0.0996840i | ||||
\(425\) | −10.7709 | + | 13.2825i | −0.522463 | + | 0.644294i | ||||
\(426\) | − | 1.32692i | − | 0.0642894i | ||||||
\(427\) | −1.30084 | − | 0.348560i | −0.0629522 | − | 0.0168680i | ||||
\(428\) | 4.59881 | + | 1.23225i | 0.222292 | + | 0.0595629i | ||||
\(429\) | 23.5526i | 1.13713i | ||||||||
\(430\) | 19.5251 | − | 1.01662i | 0.941582 | − | 0.0490257i | ||||
\(431\) | 19.2452 | − | 11.1112i | 0.927007 | − | 0.535208i | 0.0411431 | − | 0.999153i | \(-0.486900\pi\) |
0.885864 | + | 0.463946i | \(0.153567\pi\) | |||||||
\(432\) | −0.965926 | + | 0.258819i | −0.0464731 | + | 0.0124524i | ||||
\(433\) | 11.1720 | + | 2.99353i | 0.536892 | + | 0.143860i | 0.517069 | − | 0.855944i | \(-0.327023\pi\) |
0.0198230 | + | 0.999804i | \(0.493690\pi\) | |||||||
\(434\) | −0.729147 | − | 0.420973i | −0.0350002 | − | 0.0202074i | ||||
\(435\) | −14.5782 | + | 4.73127i | −0.698971 | + | 0.226847i | ||||
\(436\) | − | 10.0772i | − | 0.482610i | ||||||
\(437\) | −1.64852 | − | 10.0010i | −0.0788593 | − | 0.478411i | ||||
\(438\) | 3.40693 | + | 3.40693i | 0.162790 | + | 0.162790i | ||||
\(439\) | −5.66009 | + | 9.80357i | −0.270141 | + | 0.467899i | −0.968898 | − | 0.247461i | \(-0.920404\pi\) |
0.698756 | + | 0.715360i | \(0.253737\pi\) | |||||||
\(440\) | −13.4657 | + | 4.37023i | −0.641954 | + | 0.208342i | ||||
\(441\) | −3.45191 | − | 5.97889i | −0.164377 | − | 0.284709i | ||||
\(442\) | 3.29298 | + | 12.2896i | 0.156631 | + | 0.584554i | ||||
\(443\) | −9.60294 | + | 35.8387i | −0.456250 | + | 1.70275i | 0.228138 | + | 0.973629i | \(0.426736\pi\) |
−0.684388 | + | 0.729118i | \(0.739931\pi\) | |||||||
\(444\) | 1.15665i | 0.0548920i | ||||||||
\(445\) | −1.20499 | − | 23.1430i | −0.0571222 | − | 1.09708i | ||||
\(446\) | −6.28931 | − | 10.8934i | −0.297807 | − | 0.515817i | ||||
\(447\) | 5.00408 | − | 18.6755i | 0.236685 | − | 0.883320i | ||||
\(448\) | 0.219288 | + | 0.219288i | 0.0103604 | + | 0.0103604i | ||||
\(449\) | 27.2788 | 1.28737 | 0.643683 | − | 0.765292i | \(-0.277406\pi\) | ||||
0.643683 | + | 0.765292i | \(0.277406\pi\) | |||||||
\(450\) | −4.93791 | − | 0.785525i | −0.232775 | − | 0.0370300i | ||||
\(451\) | −55.7956 | − | 32.2136i | −2.62731 | − | 1.51688i | ||||
\(452\) | 5.06045 | − | 18.8859i | 0.238024 | − | 0.888316i | ||||
\(453\) | −0.247459 | + | 0.0663064i | −0.0116266 | + | 0.00311535i | ||||
\(454\) | 4.37146 | + | 2.52387i | 0.205163 | + | 0.118451i | ||||
\(455\) | 2.57617 | − | 0.134134i | 0.120773 | − | 0.00628831i | ||||
\(456\) | 4.33780 | + | 0.428365i | 0.203136 | + | 0.0200600i | ||||
\(457\) | −9.33785 | + | 9.33785i | −0.436806 | + | 0.436806i | −0.890936 | − | 0.454129i | \(-0.849950\pi\) |
0.454129 | + | 0.890936i | \(0.349950\pi\) | |||||||
\(458\) | −5.93353 | − | 22.1442i | −0.277256 | − | 1.03473i | ||||
\(459\) | 1.71007 | − | 2.96193i | 0.0798194 | − | 0.138251i | ||||
\(460\) | −1.08279 | + | 5.08563i | −0.0504853 | + | 0.237119i | ||||
\(461\) | −5.69535 | + | 9.86464i | −0.265259 | + | 0.459442i | −0.967631 | − | 0.252368i | \(-0.918791\pi\) |
0.702372 | + | 0.711810i | \(0.252124\pi\) | |||||||
\(462\) | −1.89655 | − | 0.508178i | −0.0882354 | − | 0.0236426i | ||||
\(463\) | −20.8423 | − | 20.8423i | −0.968626 | − | 0.968626i | 0.0308970 | − | 0.999523i | \(-0.490164\pi\) |
−0.999523 | + | 0.0308970i | \(0.990164\pi\) | |||||||
\(464\) | −6.85432 | −0.318204 | ||||||||
\(465\) | 5.93763 | + | 1.26419i | 0.275351 | + | 0.0586254i | ||||
\(466\) | 5.42732 | − | 3.13347i | 0.251416 | − | 0.145155i | ||||
\(467\) | −14.6449 | + | 14.6449i | −0.677687 | + | 0.677687i | −0.959476 | − | 0.281790i | \(-0.909072\pi\) |
0.281790 | + | 0.959476i | \(0.409072\pi\) | |||||||
\(468\) | −2.63047 | + | 2.63047i | −0.121593 | + | 0.121593i | ||||
\(469\) | −0.799917 | − | 1.38550i | −0.0369368 | − | 0.0639763i | ||||
\(470\) | 21.0181 | + | 10.7183i | 0.969494 | + | 0.494396i | ||||
\(471\) | −8.34953 | + | 4.82061i | −0.384726 | + | 0.222122i | ||||
\(472\) | −0.190185 | − | 0.709781i | −0.00875399 | − | 0.0326703i | ||||
\(473\) | −53.4724 | + | 14.3279i | −2.45866 | + | 0.658797i | ||||
\(474\) | 14.4360 | 0.663067 | ||||||||
\(475\) | 18.9354 | + | 10.7912i | 0.868816 | + | 0.495135i | ||||
\(476\) | −1.06065 | −0.0486150 | ||||||||
\(477\) | −3.96536 | + | 1.06251i | −0.181561 | + | 0.0486492i | ||||
\(478\) | −5.84802 | − | 21.8251i | −0.267482 | − | 0.998257i | ||||
\(479\) | −1.00693 | + | 0.581352i | −0.0460079 | + | 0.0265627i | −0.522828 | − | 0.852438i | \(-0.675123\pi\) |
0.476820 | + | 0.879001i | \(0.341789\pi\) | |||||||
\(480\) | −1.99201 | − | 1.01583i | −0.0909222 | − | 0.0463661i | ||||
\(481\) | 2.15139 | + | 3.72631i | 0.0980948 | + | 0.169905i | ||||
\(482\) | −0.0655253 | + | 0.0655253i | −0.00298460 | + | 0.00298460i | ||||
\(483\) | −0.509919 | + | 0.509919i | −0.0232021 | + | 0.0232021i | ||||
\(484\) | 25.1883 | − | 14.5425i | 1.14492 | − | 0.661022i | ||||
\(485\) | 36.0108 | + | 7.66711i | 1.63517 | + | 0.348146i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | −5.04003 | − | 5.04003i | −0.228386 | − | 0.228386i | 0.583632 | − | 0.812018i | \(-0.301631\pi\) |
−0.812018 | + | 0.583632i | \(0.801631\pi\) | |||||||
\(488\) | 4.19465 | + | 1.12395i | 0.189883 | + | 0.0508789i | ||||
\(489\) | 0.0143985 | − | 0.0249390i | 0.000651124 | − | 0.00112778i | ||||
\(490\) | 3.21475 | − | 15.0990i | 0.145227 | − | 0.682103i | ||||
\(491\) | 6.22692 | − | 10.7853i | 0.281017 | − | 0.486736i | −0.690618 | − | 0.723219i | \(-0.742662\pi\) |
0.971636 | + | 0.236483i | \(0.0759949\pi\) | |||||||
\(492\) | −2.63375 | − | 9.82930i | −0.118739 | − | 0.443139i | ||||
\(493\) | 16.5765 | − | 16.5765i | 0.746570 | − | 0.746570i | ||||
\(494\) | 14.7716 | − | 6.68835i | 0.664607 | − | 0.300923i | ||||
\(495\) | 14.1380 | − | 0.736129i | 0.635456 | − | 0.0330865i | ||||
\(496\) | 2.35118 | + | 1.35745i | 0.105571 | + | 0.0609515i | ||||
\(497\) | 0.397482 | − | 0.106505i | 0.0178295 | − | 0.00477740i | ||||
\(498\) | 0.0697543 | − | 0.260327i | 0.00312577 | − | 0.0116655i | ||||
\(499\) | −18.2705 | − | 10.5485i | −0.817900 | − | 0.472215i | 0.0317917 | − | 0.999495i | \(-0.489879\pi\) |
−0.849692 | + | 0.527280i | \(0.823212\pi\) | |||||||
\(500\) | −7.02716 | − | 8.69592i | −0.314264 | − | 0.388893i | ||||
\(501\) | −1.80618 | −0.0806940 | ||||||||
\(502\) | 6.49294 | + | 6.49294i | 0.289794 | + | 0.289794i | ||||
\(503\) | −6.18413 | + | 23.0795i | −0.275737 | + | 1.02906i | 0.679610 | + | 0.733574i | \(0.262149\pi\) |
−0.955346 | + | 0.295489i | \(0.904517\pi\) | |||||||
\(504\) | −0.155060 | − | 0.268571i | −0.00690691 | − | 0.0119631i | ||||
\(505\) | 1.62165 | + | 31.1452i | 0.0721625 | + | 1.38594i | ||||
\(506\) | − | 14.7224i | − | 0.654489i | ||||||
\(507\) | −0.217072 | + | 0.810123i | −0.00964050 | + | 0.0359788i | ||||
\(508\) | 3.78398 | + | 14.1220i | 0.167887 | + | 0.626562i | ||||
\(509\) | −4.73071 | − | 8.19383i | −0.209685 | − | 0.363185i | 0.741930 | − | 0.670477i | \(-0.233911\pi\) |
−0.951615 | + | 0.307292i | \(0.900577\pi\) | |||||||
\(510\) | 7.27418 | − | 2.36079i | 0.322106 | − | 0.104538i | ||||
\(511\) | −0.747099 | + | 1.29401i | −0.0330497 | + | 0.0572438i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −4.07912 | − | 1.53647i | −0.180098 | − | 0.0678370i | ||||
\(514\) | − | 8.06321i | − | 0.355653i | ||||||
\(515\) | 16.8417 | − | 5.46589i | 0.742135 | − | 0.240856i | ||||
\(516\) | −7.57227 | − | 4.37185i | −0.333351 | − | 0.192460i | ||||
\(517\) | −64.5264 | − | 17.2898i | −2.83787 | − | 0.760405i | ||||
\(518\) | −0.346476 | + | 0.0928381i | −0.0152233 | + | 0.00407907i | ||||
\(519\) | −19.9724 | + | 11.5311i | −0.876690 | + | 0.506157i | ||||
\(520\) | −8.30701 | + | 0.432524i | −0.364287 | + | 0.0189674i | ||||
\(521\) | 38.6070i | 1.69140i | 0.533656 | + | 0.845702i | \(0.320818\pi\) | ||||
−0.533656 | + | 0.845702i | \(0.679182\pi\) | |||||||
\(522\) | 6.62077 | + | 1.77403i | 0.289783 | + | 0.0776471i | ||||
\(523\) | −36.8220 | − | 9.86642i | −1.61011 | − | 0.431428i | −0.662037 | − | 0.749472i | \(-0.730308\pi\) |
−0.948076 | + | 0.318043i | \(0.896974\pi\) | |||||||
\(524\) | 3.64166i | 0.159087i | ||||||||
\(525\) | −0.161035 | − | 1.54221i | −0.00702813 | − | 0.0673077i | ||||
\(526\) | −12.9801 | + | 7.49405i | −0.565959 | + | 0.326756i | ||||
\(527\) | −8.96899 | + | 2.40323i | −0.390695 | + | 0.104687i | ||||
\(528\) | 6.11554 | + | 1.63865i | 0.266145 | + | 0.0713132i | ||||
\(529\) | 15.2358 | + | 8.79639i | 0.662426 | + | 0.382452i | ||||
\(530\) | −8.17766 | − | 4.17022i | −0.355215 | − | 0.181143i | ||||
\(531\) | 0.734820i | 0.0318885i | ||||||||
\(532\) | 0.219855 | + | 1.33378i | 0.00953192 | + | 0.0578268i | ||||
\(533\) | −26.7677 | − | 26.7677i | −1.15944 | − | 1.15944i | ||||
\(534\) | −5.18194 | + | 8.97538i | −0.224244 | + | 0.388402i | ||||
\(535\) | −3.28636 | − | 10.1261i | −0.142082 | − | 0.437788i | ||||
\(536\) | 2.57938 | + | 4.46762i | 0.111412 | + | 0.192972i | ||||
\(537\) | −3.86017 | − | 14.4064i | −0.166579 | − | 0.621680i | ||||
\(538\) | 0.448783 | − | 1.67488i | 0.0193484 | − | 0.0722092i | ||||
\(539\) | 43.7100i | 1.88272i | ||||||||
\(540\) | 1.66121 | + | 1.49679i | 0.0714873 | + | 0.0644114i | ||||
\(541\) | 22.8304 | + | 39.5434i | 0.981554 | + | 1.70010i | 0.656347 | + | 0.754459i | \(0.272101\pi\) |
0.325208 | + | 0.945643i | \(0.394566\pi\) | |||||||
\(542\) | −0.238478 | + | 0.890012i | −0.0102435 | + | 0.0382293i | ||||
\(543\) | 3.22940 | + | 3.22940i | 0.138587 | + | 0.138587i | ||||
\(544\) | 3.42015 | 0.146638 | ||||||||
\(545\) | −18.9022 | + | 12.2661i | −0.809679 | + | 0.525421i | ||||
\(546\) | −0.999097 | − | 0.576829i | −0.0427574 | − | 0.0246860i | ||||
\(547\) | 11.5754 | − | 43.2001i | 0.494930 | − | 1.84710i | −0.0354931 | − | 0.999370i | \(-0.511300\pi\) |
0.530423 | − | 0.847733i | \(-0.322033\pi\) | |||||||
\(548\) | −9.95833 | + | 2.66833i | −0.425399 | + | 0.113985i | ||||
\(549\) | −3.76082 | − | 2.17131i | −0.160508 | − | 0.0926692i | ||||
\(550\) | 24.5881 | + | 19.9387i | 1.04844 | + | 0.850188i | ||||
\(551\) | −24.2812 | − | 17.4091i | −1.03441 | − | 0.741653i | ||||
\(552\) | 1.64426 | − | 1.64426i | 0.0699845 | − | 0.0699845i | ||||
\(553\) | 1.15870 | + | 4.32434i | 0.0492730 | + | 0.183889i | ||||
\(554\) | 0.927905 | − | 1.60718i | 0.0394229 | − | 0.0682825i | ||||
\(555\) | 2.16957 | − | 1.40789i | 0.0920929 | − | 0.0597614i | ||||
\(556\) | −10.3204 | + | 17.8754i | −0.437681 | + | 0.758086i | ||||
\(557\) | 18.4394 | + | 4.94082i | 0.781302 | + | 0.209349i | 0.627359 | − | 0.778730i | \(-0.284136\pi\) |
0.153943 | + | 0.988080i | \(0.450803\pi\) | |||||||
\(558\) | −1.91973 | − | 1.91973i | −0.0812687 | − | 0.0812687i | ||||
\(559\) | −32.5269 | −1.37574 | ||||||||
\(560\) | 0.144406 | − | 0.678246i | 0.00610228 | − | 0.0286611i | ||||
\(561\) | −18.7528 | + | 10.8269i | −0.791744 | + | 0.457113i | ||||
\(562\) | 14.0736 | − | 14.0736i | 0.593659 | − | 0.593659i | ||||
\(563\) | 22.6314 | − | 22.6314i | 0.953800 | − | 0.953800i | −0.0451787 | − | 0.998979i | \(-0.514386\pi\) |
0.998979 | + | 0.0451787i | \(0.0143857\pi\) | |||||||
\(564\) | −5.27562 | − | 9.13763i | −0.222143 | − | 0.384764i | ||||
\(565\) | −41.5846 | + | 13.4960i | −1.74948 | + | 0.567783i | ||||
\(566\) | −27.1633 | + | 15.6828i | −1.14176 | + | 0.659195i | ||||
\(567\) | 0.0802649 | + | 0.299553i | 0.00337081 | + | 0.0125800i | ||||
\(568\) | −1.28170 | + | 0.343432i | −0.0537791 | + | 0.0144101i | ||||
\(569\) | −21.8851 | −0.917470 | −0.458735 | − | 0.888573i | \(-0.651697\pi\) | ||||
−0.458735 | + | 0.888573i | \(0.651697\pi\) | |||||||
\(570\) | −4.47653 | − | 8.65799i | −0.187501 | − | 0.362643i | ||||
\(571\) | −7.33723 | −0.307053 | −0.153527 | − | 0.988145i | \(-0.549063\pi\) | ||||
−0.153527 | + | 0.988145i | \(0.549063\pi\) | |||||||
\(572\) | 22.7500 | − | 6.09586i | 0.951227 | − | 0.254881i | ||||
\(573\) | −4.52047 | − | 16.8706i | −0.188846 | − | 0.704781i | ||||
\(574\) | 2.73300 | − | 1.57790i | 0.114073 | − | 0.0658601i | ||||
\(575\) | 10.8573 | − | 4.15927i | 0.452780 | − | 0.173453i | ||||
\(576\) | 0.500000 | + | 0.866025i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | 18.6090 | − | 18.6090i | 0.774705 | − | 0.774705i | −0.204220 | − | 0.978925i | \(-0.565466\pi\) |
0.978925 | + | 0.204220i | \(0.0654659\pi\) | |||||||
\(578\) | 3.74950 | − | 3.74950i | 0.155959 | − | 0.155959i | ||||
\(579\) | −1.53455 | + | 0.885971i | −0.0637736 | + | 0.0368197i | ||||
\(580\) | 8.34317 | + | 12.8569i | 0.346431 | + | 0.533854i | ||||
\(581\) | 0.0835804 | 0.00346750 | ||||||||
\(582\) | −11.6429 | − | 11.6429i | −0.482612 | − | 0.482612i | ||||
\(583\) | 25.1057 | + | 6.72706i | 1.03977 | + | 0.278606i | ||||
\(584\) | 2.40907 | − | 4.17262i | 0.0996879 | − | 0.172664i | ||||
\(585\) | 8.13590 | + | 1.73223i | 0.336378 | + | 0.0716187i | ||||
\(586\) | −5.82413 | + | 10.0877i | −0.240593 | + | 0.416719i | ||||
\(587\) | −9.65810 | − | 36.0445i | −0.398632 | − | 1.48772i | −0.815504 | − | 0.578751i | \(-0.803540\pi\) |
0.416872 | − | 0.908965i | \(-0.363126\pi\) | |||||||
\(588\) | −4.88174 | + | 4.88174i | −0.201320 | + | 0.201320i | ||||
\(589\) | 4.88120 | + | 10.7804i | 0.201126 | + | 0.444200i | ||||
\(590\) | −1.09987 | + | 1.22069i | −0.0452808 | + | 0.0502551i | ||||
\(591\) | −5.99684 | − | 3.46228i | −0.246677 | − | 0.142419i | ||||
\(592\) | 1.11723 | − | 0.299362i | 0.0459181 | − | 0.0123037i | ||||
\(593\) | 6.25662 | − | 23.3500i | 0.256929 | − | 0.958871i | −0.710079 | − | 0.704122i | \(-0.751341\pi\) |
0.967007 | − | 0.254749i | \(-0.0819927\pi\) | |||||||
\(594\) | −5.48304 | − | 3.16563i | −0.224972 | − | 0.129888i | ||||
\(595\) | 1.29104 | + | 1.98951i | 0.0529276 | + | 0.0815619i | ||||
\(596\) | −19.3343 | −0.791963 | ||||||||
\(597\) | 5.39351 | + | 5.39351i | 0.220742 | + | 0.220742i | ||||
\(598\) | 2.23888 | − | 8.35561i | 0.0915546 | − | 0.341686i | ||||
\(599\) | 9.76934 | + | 16.9210i | 0.399165 | + | 0.691373i | 0.993623 | − | 0.112753i | \(-0.0359669\pi\) |
−0.594459 | + | 0.804126i | \(0.702634\pi\) | |||||||
\(600\) | 0.519266 | + | 4.97296i | 0.0211990 | + | 0.203020i | ||||
\(601\) | 22.9520i | 0.936231i | 0.883667 | + | 0.468116i | \(0.155067\pi\) | ||||
−0.883667 | + | 0.468116i | \(0.844933\pi\) | |||||||
\(602\) | 0.701812 | − | 2.61920i | 0.0286037 | − | 0.106751i | ||||
\(603\) | −1.33519 | − | 4.98299i | −0.0543730 | − | 0.202923i | ||||
\(604\) | 0.128094 | + | 0.221865i | 0.00521207 | + | 0.00902758i | ||||
\(605\) | −57.9374 | − | 29.5454i | −2.35549 | − | 1.20119i | ||||
\(606\) | 6.97371 | − | 12.0788i | 0.283288 | − | 0.490669i | ||||
\(607\) | −11.8605 | − | 11.8605i | −0.481402 | − | 0.481402i | 0.424177 | − | 0.905579i | \(-0.360563\pi\) |
−0.905579 | + | 0.424177i | \(0.860563\pi\) | |||||||
\(608\) | −0.708936 | − | 4.30086i | −0.0287512 | − | 0.174423i | ||||
\(609\) | 2.12566i | 0.0861361i | ||||||||
\(610\) | −2.99754 | − | 9.23615i | −0.121367 | − | 0.373961i | ||||
\(611\) | −33.9924 | − | 19.6255i | −1.37518 | − | 0.793963i | ||||
\(612\) | −3.30361 | − | 0.885199i | −0.133540 | − | 0.0357820i | ||||
\(613\) | −26.3007 | + | 7.04726i | −1.06228 | + | 0.284636i | −0.747316 | − | 0.664468i | \(-0.768658\pi\) |
−0.314961 | + | 0.949105i | \(0.601991\pi\) | |||||||
\(614\) | 3.65584 | − | 2.11070i | 0.147538 | − | 0.0851810i | ||||
\(615\) | −15.2314 | + | 16.9046i | −0.614188 | + | 0.681659i | ||||
\(616\) | 1.96345i | 0.0791097i | ||||||||
\(617\) | −24.5872 | − | 6.58811i | −0.989842 | − | 0.265227i | −0.272658 | − | 0.962111i | \(-0.587903\pi\) |
−0.717184 | + | 0.696884i | \(0.754569\pi\) | |||||||
\(618\) | −7.64876 | − | 2.04948i | −0.307678 | − | 0.0824421i | ||||
\(619\) | 4.00889i | 0.161131i | 0.996749 | + | 0.0805654i | \(0.0256726\pi\) | ||||
−0.996749 | + | 0.0805654i | \(0.974327\pi\) | |||||||
\(620\) | −0.315659 | − | 6.06251i | −0.0126772 | − | 0.243476i | ||||
\(621\) | −2.01380 | + | 1.16267i | −0.0808112 | + | 0.0466564i | ||||
\(622\) | −10.7006 | + | 2.86721i | −0.429054 | + | 0.114965i | ||||
\(623\) | −3.10452 | − | 0.831855i | −0.124380 | − | 0.0333276i | ||||
\(624\) | 3.22165 | + | 1.86002i | 0.128969 | + | 0.0744604i | ||||
\(625\) | −7.75770 | + | 23.7659i | −0.310308 | + | 0.950636i | ||||
\(626\) | − | 22.5831i | − | 0.902600i | ||||||
\(627\) | 17.5021 | + | 21.3376i | 0.698966 | + | 0.852140i | ||||
\(628\) | 6.81737 | + | 6.81737i | 0.272043 | + | 0.272043i | ||||
\(629\) | −1.97795 | + | 3.42591i | −0.0788661 | + | 0.136600i | ||||
\(630\) | −0.315029 | + | 0.617760i | −0.0125510 | + | 0.0246122i | ||||
\(631\) | −5.52757 | − | 9.57403i | −0.220049 | − | 0.381136i | 0.734774 | − | 0.678312i | \(-0.237288\pi\) |
−0.954823 | + | 0.297176i | \(0.903955\pi\) | |||||||
\(632\) | −3.73631 | − | 13.9441i | −0.148622 | − | 0.554666i | ||||
\(633\) | 0.0510720 | − | 0.190603i | 0.00202993 | − | 0.00757579i | ||||
\(634\) | 18.3504i | 0.728788i | ||||||||
\(635\) | 21.8833 | − | 24.2872i | 0.868411 | − | 0.963810i | ||||
\(636\) | 2.05262 | + | 3.55524i | 0.0813917 | + | 0.140974i | ||||
\(637\) | −6.64712 | + | 24.8074i | −0.263369 | + | 0.982905i | ||||
\(638\) | −30.6860 | − | 30.6860i | −1.21487 | − | 1.21487i | ||||
\(639\) | 1.32692 | 0.0524921 | ||||||||
\(640\) | −0.465647 | + | 2.18705i | −0.0184063 | + | 0.0864506i | ||||
\(641\) | −38.7197 | − | 22.3548i | −1.52934 | − | 0.882963i | −0.999390 | − | 0.0349331i | \(-0.988878\pi\) |
−0.529948 | − | 0.848030i | \(-0.677788\pi\) | |||||||
\(642\) | −1.23225 | + | 4.59881i | −0.0486329 | + | 0.181500i | ||||
\(643\) | −22.9781 | + | 6.15697i | −0.906169 | + | 0.242807i | −0.681664 | − | 0.731666i | \(-0.738743\pi\) |
−0.224505 | + | 0.974473i | \(0.572077\pi\) | |||||||
\(644\) | 0.624520 | + | 0.360567i | 0.0246095 | + | 0.0142083i | ||||
\(645\) | 1.01662 | + | 19.5251i | 0.0400293 | + | 0.768799i | ||||
\(646\) | 12.1157 | + | 8.68674i | 0.476687 | + | 0.341775i | ||||
\(647\) | 20.9244 | − | 20.9244i | 0.822622 | − | 0.822622i | −0.163862 | − | 0.986483i | \(-0.552395\pi\) |
0.986483 | + | 0.163862i | \(0.0523951\pi\) | |||||||
\(648\) | −0.258819 | − | 0.965926i | −0.0101674 | − | 0.0379452i | ||||
\(649\) | 2.32617 | − | 4.02905i | 0.0913102 | − | 0.158154i | ||||
\(650\) | 10.9227 | + | 15.0553i | 0.428424 | + | 0.590517i | ||||
\(651\) | 0.420973 | − | 0.729147i | 0.0164992 | − | 0.0285775i | ||||
\(652\) | −0.0278158 | − | 0.00745323i | −0.00108935 | − | 0.000291891i | ||||
\(653\) | 30.2481 | + | 30.2481i | 1.18370 | + | 1.18370i | 0.978779 | + | 0.204920i | \(0.0656935\pi\) |
0.204920 | + | 0.978779i | \(0.434306\pi\) | |||||||
\(654\) | 10.0772 | 0.394049 | ||||||||
\(655\) | 6.83080 | − | 4.43267i | 0.266901 | − | 0.173199i | ||||
\(656\) | −8.81271 | + | 5.08802i | −0.344079 | + | 0.198654i | ||||
\(657\) | −3.40693 | + | 3.40693i | −0.132917 | + | 0.132917i | ||||
\(658\) | 2.31375 | − | 2.31375i | 0.0901996 | − | 0.0901996i | ||||
\(659\) | 13.4067 | + | 23.2211i | 0.522252 | + | 0.904567i | 0.999665 | + | 0.0258876i | \(0.00824120\pi\) |
−0.477413 | + | 0.878679i | \(0.658425\pi\) | |||||||
\(660\) | −4.37023 | − | 13.4657i | −0.170111 | − | 0.524153i | ||||
\(661\) | 7.07026 | − | 4.08202i | 0.275001 | − | 0.158772i | −0.356157 | − | 0.934426i | \(-0.615913\pi\) |
0.631158 | + | 0.775654i | \(0.282580\pi\) | |||||||
\(662\) | −0.423325 | − | 1.57987i | −0.0164530 | − | 0.0614034i | ||||
\(663\) | −12.2896 | + | 3.29298i | −0.477287 | + | 0.127889i | ||||
\(664\) | −0.269510 | −0.0104590 | ||||||||
\(665\) | 2.23421 | − | 2.03589i | 0.0866391 | − | 0.0789483i | ||||
\(666\) | −1.15665 | −0.0448192 | ||||||||
\(667\) | −15.3955 | + | 4.12522i | −0.596118 | + | 0.159729i | ||||
\(668\) | 0.467473 | + | 1.74463i | 0.0180871 | + | 0.0675018i | ||||
\(669\) | 10.8934 | − | 6.28931i | 0.421163 | − | 0.243159i | ||||
\(670\) | 5.24043 | − | 10.2763i | 0.202455 | − | 0.397008i | ||||
\(671\) | 13.7471 | + | 23.8108i | 0.530703 | + | 0.919204i | ||||
\(672\) | −0.219288 | + | 0.219288i | −0.00845921 | + | 0.00845921i | ||||
\(673\) | 19.6072 | − | 19.6072i | 0.755803 | − | 0.755803i | −0.219752 | − | 0.975556i | \(-0.570525\pi\) |
0.975556 | + | 0.219752i | \(0.0705249\pi\) | |||||||
\(674\) | 0.461027 | − | 0.266174i | 0.0177581 | − | 0.0102526i | ||||
\(675\) | 0.785525 | − | 4.93791i | 0.0302349 | − | 0.190060i | ||||
\(676\) | 0.838701 | 0.0322577 | ||||||||
\(677\) | −17.7081 | − | 17.7081i | −0.680577 | − | 0.680577i | 0.279553 | − | 0.960130i | \(-0.409814\pi\) |
−0.960130 | + | 0.279553i | \(0.909814\pi\) | |||||||
\(678\) | 18.8859 | + | 5.06045i | 0.725307 | + | 0.194345i | ||||
\(679\) | 2.55314 | − | 4.42216i | 0.0979804 | − | 0.169707i | ||||
\(680\) | −4.16305 | − | 6.41530i | −0.159646 | − | 0.246015i | ||||
\(681\) | −2.52387 | + | 4.37146i | −0.0967148 | + | 0.167515i | ||||
\(682\) | 4.44879 | + | 16.6031i | 0.170353 | + | 0.635766i | ||||
\(683\) | 26.8964 | − | 26.8964i | 1.02916 | − | 1.02916i | 0.0295985 | − | 0.999562i | \(-0.490577\pi\) |
0.999562 | − | 0.0295985i | \(-0.00942286\pi\) | |||||||
\(684\) | −0.428365 | + | 4.33780i | −0.0163790 | + | 0.165860i | ||||
\(685\) | 17.1265 | + | 15.4313i | 0.654370 | + | 0.589599i | ||||
\(686\) | −3.73417 | − | 2.15592i | −0.142571 | − | 0.0823136i | ||||
\(687\) | 22.1442 | − | 5.93353i | 0.844855 | − | 0.226378i | ||||
\(688\) | −2.26304 | + | 8.44577i | −0.0862775 | + | 0.321992i | ||||
\(689\) | 13.2256 | + | 7.63583i | 0.503857 | + | 0.290902i | ||||
\(690\) | −5.08563 | − | 1.08279i | −0.193607 | − | 0.0412211i | ||||
\(691\) | 10.0289 | 0.381516 | 0.190758 | − | 0.981637i | \(-0.438905\pi\) | ||||
0.190758 | + | 0.981637i | \(0.438905\pi\) | |||||||
\(692\) | 16.3074 | + | 16.3074i | 0.619913 | + | 0.619913i | ||||
\(693\) | 0.508178 | − | 1.89655i | 0.0193041 | − | 0.0720439i | ||||
\(694\) | 0.969124 | + | 1.67857i | 0.0367874 | + | 0.0637177i | ||||
\(695\) | 46.0917 | − | 2.39987i | 1.74836 | − | 0.0910324i | ||||
\(696\) | − | 6.85432i | − | 0.259812i | ||||||
\(697\) | 9.00782 | − | 33.6177i | 0.341196 | − | 1.27336i | ||||
\(698\) | 5.51814 | + | 20.5940i | 0.208865 | + | 0.779494i | ||||
\(699\) | 3.13347 | + | 5.42732i | 0.118519 | + | 0.205280i | ||||
\(700\) | −1.44799 | + | 0.554702i | −0.0547287 | + | 0.0209658i | ||||
\(701\) | −18.8206 | + | 32.5983i | −0.710845 | + | 1.23122i | 0.253696 | + | 0.967284i | \(0.418354\pi\) |
−0.964540 | + | 0.263935i | \(0.914980\pi\) | |||||||
\(702\) | −2.63047 | − | 2.63047i | −0.0992805 | − | 0.0992805i | ||||
\(703\) | 4.71810 | + | 1.77716i | 0.177947 | + | 0.0670268i | ||||
\(704\) | − | 6.33127i | − | 0.238619i | ||||||
\(705\) | −10.7183 | + | 21.0181i | −0.403673 | + | 0.791588i | ||||
\(706\) | 22.4506 | + | 12.9618i | 0.844939 | + | 0.487826i | ||||
\(707\) | 4.17799 | + | 1.11949i | 0.157129 | + | 0.0421027i | ||||
\(708\) | 0.709781 | − | 0.190185i | 0.0266752 | − | 0.00714760i | ||||
\(709\) | 0.257513 | − | 0.148675i | 0.00967110 | − | 0.00558361i | −0.495157 | − | 0.868804i | \(-0.664889\pi\) |
0.504828 | + | 0.863220i | \(0.331556\pi\) | |||||||
\(710\) | 2.20429 | + | 1.98611i | 0.0827257 | + | 0.0745374i | ||||
\(711\) | 14.4360i | 0.541392i | ||||||||
\(712\) | 10.0107 | + | 2.68237i | 0.375168 | + | 0.100526i | ||||
\(713\) | 6.09797 | + | 1.63395i | 0.228371 | + | 0.0611918i | ||||
\(714\) | − | 1.06065i | − | 0.0396940i | ||||||
\(715\) | −39.1259 | − | 35.2532i | −1.46322 | − | 1.31839i | ||||
\(716\) | −12.9164 | + | 7.45728i | −0.482708 | + | 0.278692i | ||||
\(717\) | 21.8251 | − | 5.84802i | 0.815074 | − | 0.218398i | ||||
\(718\) | −30.0457 | − | 8.05073i | −1.12130 | − | 0.300451i | ||||
\(719\) | 10.2040 | + | 5.89129i | 0.380546 | + | 0.219708i | 0.678056 | − | 0.735011i | \(-0.262823\pi\) |
−0.297510 | + | 0.954719i | \(0.596156\pi\) | |||||||
\(720\) | 1.01583 | − | 1.99201i | 0.0378577 | − | 0.0742377i | ||||
\(721\) | − | 2.45571i | − | 0.0914553i | ||||||
\(722\) | 8.41227 | − | 17.0362i | 0.313072 | − | 0.634023i | ||||
\(723\) | −0.0655253 | − | 0.0655253i | −0.00243691 | − | 0.00243691i | ||||
\(724\) | 2.28353 | − | 3.95519i | 0.0848667 | − | 0.146993i | ||||
\(725\) | 13.9608 | − | 31.2992i | 0.518490 | − | 1.16242i | ||||
\(726\) | 14.5425 | + | 25.1883i | 0.539722 | + | 0.934826i | ||||
\(727\) | −0.862014 | − | 3.21708i | −0.0319703 | − | 0.119315i | 0.948097 | − | 0.317982i | \(-0.103005\pi\) |
−0.980067 | + | 0.198668i | \(0.936339\pi\) | |||||||
\(728\) | −0.298589 | + | 1.11435i | −0.0110664 | + | 0.0413005i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −10.7591 | + | 0.560198i | −0.398212 | + | 0.0207339i | ||||
\(731\) | −14.9524 | − | 25.8983i | −0.553033 | − | 0.957882i | ||||
\(732\) | −1.12395 | + | 4.19465i | −0.0415425 | + | 0.155039i | ||||
\(733\) | −2.34690 | − | 2.34690i | −0.0866846 | − | 0.0866846i | 0.662435 | − | 0.749120i | \(-0.269523\pi\) |
−0.749120 | + | 0.662435i | \(0.769523\pi\) | |||||||
\(734\) | 29.8289 | 1.10101 | ||||||||
\(735\) | 15.0990 | + | 3.21475i | 0.556935 | + | 0.118578i | ||||
\(736\) | −2.01380 | − | 1.16267i | −0.0742298 | − | 0.0428566i | ||||
\(737\) | −8.45343 | + | 31.5486i | −0.311386 | + | 1.16211i | ||||
\(738\) | 9.82930 | − | 2.63375i | 0.361822 | − | 0.0969498i | ||||
\(739\) | 28.6071 | + | 16.5163i | 1.05233 | + | 0.607562i | 0.923300 | − | 0.384079i | \(-0.125481\pi\) |
0.129028 | + | 0.991641i | \(0.458814\pi\) | |||||||
\(740\) | −1.92144 | − | 1.73125i | −0.0706335 | − | 0.0636421i | ||||
\(741\) | 6.68835 | + | 14.7716i | 0.245703 | + | 0.542650i | ||||
\(742\) | −0.900228 | + | 0.900228i | −0.0330484 | + | 0.0330484i | ||||
\(743\) | −5.70483 | − | 21.2907i | −0.209290 | − | 0.781081i | −0.988099 | − | 0.153820i | \(-0.950843\pi\) |
0.778809 | − | 0.627261i | \(-0.215824\pi\) | |||||||
\(744\) | −1.35745 | + | 2.35118i | −0.0497667 | + | 0.0861984i | ||||
\(745\) | 23.5339 | + | 36.2660i | 0.862217 | + | 1.32868i | ||||
\(746\) | 9.45339 | − | 16.3737i | 0.346113 | − | 0.599486i | ||||
\(747\) | 0.260327 | + | 0.0697543i | 0.00952486 | + | 0.00255218i | ||||
\(748\) | 15.3116 | + | 15.3116i | 0.559847 | + | 0.559847i | ||||
\(749\) | −1.47649 | −0.0539498 | ||||||||
\(750\) | 8.69592 | − | 7.02716i | 0.317530 | − | 0.256596i | ||||
\(751\) | 40.4682 | − | 23.3643i | 1.47671 | − | 0.852577i | 0.477053 | − | 0.878875i | \(-0.341705\pi\) |
0.999654 | + | 0.0262976i | \(0.00837175\pi\) | |||||||
\(752\) | −7.46085 | + | 7.46085i | −0.272069 | + | 0.272069i | ||||
\(753\) | −6.49294 | + | 6.49294i | −0.236616 | + | 0.236616i | ||||
\(754\) | −12.7492 | − | 22.0822i | −0.464298 | − | 0.804187i | ||||
\(755\) | 0.260244 | − | 0.510329i | 0.00947123 | − | 0.0185728i | ||||
\(756\) | 0.268571 | − | 0.155060i | 0.00976785 | − | 0.00563947i | ||||
\(757\) | −0.0205442 | − | 0.0766719i | −0.000746691 | − | 0.00278669i | 0.965551 | − | 0.260212i | \(-0.0837925\pi\) |
−0.966298 | + | 0.257425i | \(0.917126\pi\) | |||||||
\(758\) | 31.0446 | − | 8.31837i | 1.12759 | − | 0.302137i | ||||
\(759\) | 14.7224 | 0.534388 | ||||||||
\(760\) | −7.20436 | + | 6.56484i | −0.261330 | + | 0.238132i | ||||
\(761\) | 18.4883 | 0.670201 | 0.335101 | − | 0.942182i | \(-0.391230\pi\) | ||||
0.335101 | + | 0.942182i | \(0.391230\pi\) | |||||||
\(762\) | −14.1220 | + | 3.78398i | −0.511586 | + | 0.137079i | ||||
\(763\) | 0.808844 | + | 3.01865i | 0.0292821 | + | 0.109282i | ||||
\(764\) | −15.1258 | + | 8.73289i | −0.547232 | + | 0.315945i | ||||
\(765\) | 2.36079 | + | 7.27418i | 0.0853547 | + | 0.262998i | ||||
\(766\) | 1.81976 | + | 3.15192i | 0.0657508 | + | 0.113884i | ||||
\(767\) | 1.93292 | − | 1.93292i | 0.0697936 | − | 0.0697936i | ||||
\(768\) | 0.707107 | − | 0.707107i | 0.0255155 | − | 0.0255155i | ||||
\(769\) | −10.6383 | + | 6.14205i | −0.383628 | + | 0.221488i | −0.679396 | − | 0.733772i | \(-0.737758\pi\) |
0.295767 | + | 0.955260i | \(0.404425\pi\) | |||||||
\(770\) | 3.68292 | − | 2.38994i | 0.132723 | − | 0.0861274i | ||||
\(771\) | 8.06321 | 0.290390 | ||||||||
\(772\) | 1.25295 | + | 1.25295i | 0.0450947 | + | 0.0450947i | ||||
\(773\) | −2.96842 | − | 0.795386i | −0.106767 | − | 0.0286081i | 0.205040 | − | 0.978754i | \(-0.434268\pi\) |
−0.311807 | + | 0.950146i | \(0.600934\pi\) | |||||||
\(774\) | 4.37185 | − | 7.57227i | 0.157143 | − | 0.272180i | ||||
\(775\) | −10.9874 | + | 7.97146i | −0.394681 | + | 0.286343i | ||||
\(776\) | −8.23275 | + | 14.2595i | −0.295538 | + | 0.511888i | ||||
\(777\) | −0.0928381 | − | 0.346476i | −0.00333055 | − | 0.0124298i | ||||
\(778\) | 9.88199 | − | 9.88199i | 0.354287 | − | 0.354287i | ||||
\(779\) | −44.1416 | − | 4.35906i | −1.58154 | − | 0.156180i | ||||
\(780\) | −0.432524 | − | 8.30701i | −0.0154869 | − | 0.297439i | ||||
\(781\) | −7.27554 | − | 4.20054i | −0.260339 | − | 0.150307i | ||||
\(782\) | 7.68201 | − | 2.05839i | 0.274708 | − | 0.0736079i | ||||
\(783\) | −1.77403 | + | 6.62077i | −0.0633986 | + | 0.236607i | ||||
\(784\) | 5.97889 | + | 3.45191i | 0.213532 | + | 0.123283i | ||||
\(785\) | 4.48940 | − | 21.0858i | 0.160234 | − | 0.752584i | ||||
\(786\) | −3.64166 | −0.129894 | ||||||||
\(787\) | −16.0590 | − | 16.0590i | −0.572443 | − | 0.572443i | 0.360367 | − | 0.932810i | \(-0.382651\pi\) |
−0.932810 | + | 0.360367i | \(0.882651\pi\) | |||||||
\(788\) | −1.79221 | + | 6.68860i | −0.0638447 | + | 0.238272i | ||||
\(789\) | −7.49405 | − | 12.9801i | −0.266795 | − | 0.462103i | ||||
\(790\) | −21.6076 | + | 23.9813i | −0.768763 | + | 0.853215i | ||||
\(791\) | 6.06348i | 0.215593i | ||||||||
\(792\) | −1.63865 | + | 6.11554i | −0.0582270 | + | 0.217306i | ||||
\(793\) | 4.18115 | + | 15.6043i | 0.148477 | + | 0.554123i | ||||
\(794\) | −2.09046 | − | 3.62078i | −0.0741876 | − | 0.128497i | ||||
\(795\) | 4.17022 | − | 8.17766i | 0.147903 | − | 0.290032i | ||||
\(796\) | 3.81379 | − | 6.60568i | 0.135176 | − | 0.234132i | ||||
\(797\) | 21.2908 | + | 21.2908i | 0.754160 | + | 0.754160i | 0.975253 | − | 0.221093i | \(-0.0709624\pi\) |
−0.221093 | + | 0.975253i | \(0.570962\pi\) | |||||||
\(798\) | −1.33378 | + | 0.219855i | −0.0472154 | + | 0.00778278i | ||||
\(799\) | − | 36.0867i | − | 1.27666i | ||||||
\(800\) | 4.66912 | − | 1.78867i | 0.165078 | − | 0.0632390i | ||||
\(801\) | −8.97538 | − | 5.18194i | −0.317129 | − | 0.183095i | ||||
\(802\) | 29.2821 | + | 7.84612i | 1.03399 | + | 0.277056i | ||||
\(803\) | 29.4655 | − | 7.89525i | 1.03981 | − | 0.278617i | ||||
\(804\) | −4.46762 | + | 2.57938i | −0.157561 | + | 0.0909678i | ||||
\(805\) | −0.0838453 | − | 1.61032i | −0.00295516 | − | 0.0567564i | ||||
\(806\) | 10.0996i | 0.355742i | ||||||||
\(807\) | 1.67488 | + | 0.448783i | 0.0589586 | + | 0.0157979i | ||||
\(808\) | −13.4722 | − | 3.60986i | −0.473950 | − | 0.126994i | ||||
\(809\) | 10.3294i | 0.363162i | 0.983376 | + | 0.181581i | \(0.0581215\pi\) | ||||
−0.983376 | + | 0.181581i | \(0.941878\pi\) | |||||||
\(810\) | −1.49679 | + | 1.66121i | −0.0525917 | + | 0.0583691i | ||||
\(811\) | 6.89851 | − | 3.98286i | 0.242240 | − | 0.139857i | −0.373966 | − | 0.927442i | \(-0.622002\pi\) |
0.616206 | + | 0.787585i | \(0.288669\pi\) | |||||||
\(812\) | 2.05323 | − | 0.550161i | 0.0720542 | − | 0.0193069i | ||||
\(813\) | −0.890012 | − | 0.238478i | −0.0312141 | − | 0.00836379i | ||||
\(814\) | 6.34194 | + | 3.66152i | 0.222285 | + | 0.128336i | ||||
\(815\) | 0.0198775 | + | 0.0612474i | 0.000696278 | + | 0.00214540i | ||||
\(816\) | 3.42015i | 0.119729i | ||||||||
\(817\) | −29.4679 | + | 24.1710i | −1.03095 | + | 0.845636i | ||||
\(818\) | −9.79837 | − | 9.79837i | −0.342592 | − | 0.342592i | ||||
\(819\) | 0.576829 | − | 0.999097i | 0.0201560 | − | 0.0349113i | ||||
\(820\) | 20.2707 | + | 10.3371i | 0.707885 | + | 0.360988i | ||||
\(821\) | 12.0173 | + | 20.8146i | 0.419407 | + | 0.726434i | 0.995880 | − | 0.0906824i | \(-0.0289048\pi\) |
−0.576473 | + | 0.817116i | \(0.695571\pi\) | |||||||
\(822\) | −2.66833 | − | 9.95833i | −0.0930686 | − | 0.347337i | ||||
\(823\) | −7.23439 | + | 26.9991i | −0.252175 | + | 0.941129i | 0.717466 | + | 0.696594i | \(0.245302\pi\) |
−0.969640 | + | 0.244535i | \(0.921365\pi\) | |||||||
\(824\) | 7.91858i | 0.275857i | ||||||||
\(825\) | −19.9387 | + | 24.5881i | −0.694176 | + | 0.856047i | ||||
\(826\) | 0.113941 | + | 0.197352i | 0.00396451 | + | 0.00686674i | ||||
\(827\) | −12.2954 | + | 45.8870i | −0.427552 | + | 1.59565i | 0.330733 | + | 0.943724i | \(0.392704\pi\) |
−0.758285 | + | 0.651923i | \(0.773963\pi\) | |||||||
\(828\) | 1.64426 | + | 1.64426i | 0.0571421 | + | 0.0571421i | ||||
\(829\) | −10.6170 | −0.368745 | −0.184373 | − | 0.982856i | \(-0.559025\pi\) | ||||
−0.184373 | + | 0.982856i | \(0.559025\pi\) | |||||||
\(830\) | 0.328051 | + | 0.505530i | 0.0113868 | + | 0.0175472i | ||||
\(831\) | 1.60718 | + | 0.927905i | 0.0557524 | + | 0.0321887i | ||||
\(832\) | 0.962817 | − | 3.59328i | 0.0333797 | − | 0.124575i | ||||
\(833\) | −22.8075 | + | 6.11126i | −0.790234 | + | 0.211743i | ||||
\(834\) | −17.8754 | − | 10.3204i | −0.618975 | − | 0.357365i | ||||
\(835\) | 2.70346 | − | 3.00045i | 0.0935570 | − | 0.103835i | ||||
\(836\) | 16.0806 | − | 22.4283i | 0.556160 | − | 0.775698i | ||||
\(837\) | 1.91973 | − | 1.91973i | 0.0663556 | − | 0.0663556i | ||||
\(838\) | 8.96436 | + | 33.4554i | 0.309669 | + | 1.15570i | ||||
\(839\) | −6.26045 | + | 10.8434i | −0.216135 | + | 0.374357i | −0.953623 | − | 0.301003i | \(-0.902678\pi\) |
0.737488 | + | 0.675360i | \(0.236012\pi\) | |||||||
\(840\) | 0.678246 | + | 0.144406i | 0.0234017 | + | 0.00498249i | ||||
\(841\) | −8.99086 | + | 15.5726i | −0.310030 | + | 0.536987i | ||||
\(842\) | −12.5635 | − | 3.36637i | −0.432966 | − | 0.116013i | ||||
\(843\) | 14.0736 | + | 14.0736i | 0.484721 | + | 0.484721i | ||||
\(844\) | −0.197327 | −0.00679227 | ||||||||
\(845\) | −1.02088 | − | 1.57318i | −0.0351193 | − | 0.0541191i | ||||
\(846\) | 9.13763 | − | 5.27562i | 0.314158 | − | 0.181379i | ||||
\(847\) | −6.37797 | + | 6.37797i | −0.219150 | + | 0.219150i | ||||
\(848\) | 2.90284 | − | 2.90284i | 0.0996840 | − | 0.0996840i | ||||
\(849\) | −15.6828 | − | 27.1633i | −0.538231 | − | 0.932243i | ||||
\(850\) | −6.96610 | + | 15.6176i | −0.238935 | + | 0.535678i | ||||
\(851\) | 2.32926 | − | 1.34480i | 0.0798460 | − | 0.0460991i | ||||
\(852\) | −0.343432 | − | 1.28170i | −0.0117658 | − | 0.0439105i | ||||
\(853\) | 26.9951 | − | 7.23330i | 0.924293 | − | 0.247664i | 0.234874 | − | 0.972026i | \(-0.424532\pi\) |
0.689419 | + | 0.724362i | \(0.257866\pi\) | |||||||
\(854\) | −1.34673 | −0.0460842 | ||||||||
\(855\) | 8.65799 | − | 4.47653i | 0.296097 | − | 0.153094i | ||||
\(856\) | 4.76103 | 0.162729 | ||||||||
\(857\) | 35.8049 | − | 9.59390i | 1.22307 | − | 0.327721i | 0.411195 | − | 0.911548i | \(-0.365112\pi\) |
0.811879 | + | 0.583826i | \(0.198445\pi\) | |||||||
\(858\) | 6.09586 | + | 22.7500i | 0.208109 | + | 0.776674i | ||||
\(859\) | −29.0736 | + | 16.7857i | −0.991979 | + | 0.572719i | −0.905865 | − | 0.423566i | \(-0.860778\pi\) |
−0.0861135 | + | 0.996285i | \(0.527445\pi\) | |||||||
\(860\) | 18.5966 | − | 6.03544i | 0.634140 | − | 0.205807i | ||||
\(861\) | 1.57790 | + | 2.73300i | 0.0537745 | + | 0.0931402i | ||||
\(862\) | 15.7136 | − | 15.7136i | 0.535208 | − | 0.535208i | ||||
\(863\) | 0.511254 | − | 0.511254i | 0.0174033 | − | 0.0174033i | −0.698352 | − | 0.715755i | \(-0.746083\pi\) |
0.715755 | + | 0.698352i | \(0.246083\pi\) | |||||||
\(864\) | −0.866025 | + | 0.500000i | −0.0294628 | + | 0.0170103i | ||||
\(865\) | 10.7388 | − | 50.4379i | 0.365130 | − | 1.71494i | ||||
\(866\) | 11.5661 | 0.393032 | ||||||||
\(867\) | 3.74950 | + | 3.74950i | 0.127340 | + | 0.127340i | ||||
\(868\) | −0.813258 | − | 0.217912i | −0.0276038 | − | 0.00739641i | ||||
\(869\) | 45.6991 | − | 79.1531i | 1.55023 | − | 2.68508i | ||||
\(870\) | −12.8569 | + | 8.34317i | −0.435890 | + | 0.282860i | ||||
\(871\) | −9.59541 | + | 16.6197i | −0.325128 | + | 0.563138i | ||||
\(872\) | −2.60817 | − | 9.73381i | −0.0883237 | − | 0.329628i | ||||
\(873\) | 11.6429 | − | 11.6429i | 0.394051 | − | 0.394051i | ||||
\(874\) | −4.18079 | − | 9.23353i | −0.141417 | − | 0.312329i | ||||
\(875\) | 2.80298 | + | 2.04085i | 0.0947581 | + | 0.0689933i | ||||
\(876\) | 4.17262 | + | 2.40907i | 0.140980 | + | 0.0813948i | ||||
\(877\) | 44.1152 | − | 11.8206i | 1.48966 | − | 0.399154i | 0.580040 | − | 0.814588i | \(-0.303037\pi\) |
0.909623 | + | 0.415434i | \(0.136370\pi\) | |||||||
\(878\) | −2.92988 | + | 10.9345i | −0.0988786 | + | 0.369020i | ||||
\(879\) | −10.0877 | − | 5.82413i | −0.340249 | − | 0.196443i | ||||
\(880\) | −11.8758 | + | 7.70650i | −0.400333 | + | 0.259786i | ||||
\(881\) | −5.08922 | −0.171460 | −0.0857301 | − | 0.996318i | \(-0.527322\pi\) | ||||
−0.0857301 | + | 0.996318i | \(0.527322\pi\) | |||||||
\(882\) | −4.88174 | − | 4.88174i | −0.164377 | − | 0.164377i | ||||
\(883\) | −1.61124 | + | 6.01323i | −0.0542225 | + | 0.202361i | −0.987723 | − | 0.156215i | \(-0.950071\pi\) |
0.933501 | + | 0.358576i | \(0.116738\pi\) | |||||||
\(884\) | 6.36154 | + | 11.0185i | 0.213962 | + | 0.370593i | ||||
\(885\) | −1.22069 | − | 1.09987i | −0.0410331 | − | 0.0369716i | ||||
\(886\) | 37.1029i | 1.24650i | ||||||||
\(887\) | 12.5570 | − | 46.8634i | 0.421623 | − | 1.57352i | −0.349564 | − | 0.936912i | \(-0.613670\pi\) |
0.771188 | − | 0.636608i | \(-0.219663\pi\) | |||||||
\(888\) | 0.299362 | + | 1.11723i | 0.0100459 | + | 0.0374920i | ||||
\(889\) | −2.26700 | − | 3.92656i | −0.0760328 | − | 0.131693i | ||||
\(890\) | −7.15378 | − | 22.0425i | −0.239795 | − | 0.738867i | ||||
\(891\) | 3.16563 | − | 5.48304i | 0.106053 | − | 0.183689i | ||||
\(892\) | −8.89442 | − | 8.89442i | −0.297807 | − | 0.297807i | ||||
\(893\) | −45.3794 | + | 7.48015i | −1.51856 | + | 0.250314i | ||||
\(894\) | − | 19.3343i | − | 0.646635i | ||||||
\(895\) | 29.7099 | + | 15.1507i | 0.993092 | + | 0.506430i | ||||
\(896\) | 0.268571 | + | 0.155060i | 0.00897234 | + | 0.00518018i | ||||
\(897\) | 8.35561 | + | 2.23888i | 0.278986 | + | 0.0747540i | ||||
\(898\) | 26.3493 | − | 7.06027i | 0.879287 | − | 0.235604i | ||||
\(899\) | 16.1157 | − | 9.30443i | 0.537490 | − | 0.310320i | ||||
\(900\) | −4.97296 | + | 0.519266i | −0.165765 | + | 0.0173089i | ||||
\(901\) | 14.0405i | 0.467757i | ||||||||
\(902\) | −62.2320 | − | 16.6750i | −2.07210 | − | 0.555217i | ||||
\(903\) | 2.61920 | + | 0.701812i | 0.0871615 | + | 0.0233548i | ||||
\(904\) | − | 19.5521i | − | 0.650293i | ||||||
\(905\) | −10.1984 | + | 0.531006i | −0.339008 | + | 0.0176512i | ||||
\(906\) | −0.221865 | + | 0.128094i | −0.00737099 | + | 0.00425564i | ||||
\(907\) | 14.2766 | − | 3.82540i | 0.474046 | − | 0.127020i | −0.0138828 | − | 0.999904i | \(-0.504419\pi\) |
0.487929 | + | 0.872883i | \(0.337753\pi\) | |||||||
\(908\) | 4.87573 | + | 1.30645i | 0.161807 | + | 0.0433560i | ||||
\(909\) | 12.0788 | + | 6.97371i | 0.400629 | + | 0.231303i | ||||
\(910\) | 2.45367 | − | 0.796325i | 0.0813384 | − | 0.0263979i | ||||
\(911\) | 40.7085i | 1.34873i | 0.738397 | + | 0.674366i | \(0.235583\pi\) | ||||
−0.738397 | + | 0.674366i | \(0.764417\pi\) | |||||||
\(912\) | 4.30086 | − | 0.708936i | 0.142416 | − | 0.0234752i | ||||
\(913\) | −1.20656 | − | 1.20656i | −0.0399315 | − | 0.0399315i | ||||
\(914\) | −6.60286 | + | 11.4365i | −0.218403 | + | 0.378285i | ||||
\(915\) | 9.23615 | − | 2.99754i | 0.305338 | − | 0.0990956i | ||||
\(916\) | −11.4627 | − | 19.8540i | −0.378738 | − | 0.655994i | ||||
\(917\) | −0.292297 | − | 1.09087i | −0.00965250 | − | 0.0360236i | ||||
\(918\) | 0.885199 | − | 3.30361i | 0.0292159 | − | 0.109035i | ||||
\(919\) | − | 23.2487i | − | 0.766905i | −0.923561 | − | 0.383453i | \(-0.874735\pi\) | ||
0.923561 | − | 0.383453i | \(-0.125265\pi\) | |||||||
\(920\) | 0.270364 | + | 5.19259i | 0.00891365 | + | 0.171195i | ||||
\(921\) | 2.11070 | + | 3.65584i | 0.0695500 | + | 0.120464i | ||||
\(922\) | −2.94813 | + | 11.0026i | −0.0970916 | + | 0.362351i | ||||
\(923\) | −3.49041 | − | 3.49041i | −0.114888 | − | 0.114888i | ||||
\(924\) | −1.96345 | −0.0645928 | ||||||||
\(925\) | −0.908575 | + | 5.71142i | −0.0298738 | + | 0.187790i | ||||
\(926\) | −25.5265 | − | 14.7378i | −0.838854 | − | 0.484313i | ||||
\(927\) | 2.04948 | − | 7.64876i | 0.0673137 | − | 0.251218i | ||||
\(928\) | −6.62077 | + | 1.77403i | −0.217337 | + | 0.0582354i | ||||
\(929\) | 17.4209 | + | 10.0580i | 0.571563 | + | 0.329992i | 0.757773 | − | 0.652518i | \(-0.226287\pi\) |
−0.186211 | + | 0.982510i | \(0.559621\pi\) | |||||||
\(930\) | 6.06251 | − | 0.315659i | 0.198797 | − | 0.0103509i | ||||
\(931\) | 12.4126 | + | 27.4139i | 0.406805 | + | 0.898454i | ||||
\(932\) | 4.43139 | − | 4.43139i | 0.145155 | − | 0.145155i | ||||
\(933\) | −2.86721 | − | 10.7006i | −0.0938682 | − | 0.350321i | ||||
\(934\) | −10.3555 | + | 17.9363i | −0.338843 | + | 0.586894i | ||||
\(935\) | 10.0831 | − | 47.3580i | 0.329751 | − | 1.54877i | ||||
\(936\) | −1.86002 | + | 3.22165i | −0.0607967 | + | 0.105303i | ||||
\(937\) | 44.9305 | + | 12.0391i | 1.46782 | + | 0.393300i | 0.902182 | − | 0.431355i | \(-0.141964\pi\) |
0.565635 | + | 0.824656i | \(0.308631\pi\) | |||||||
\(938\) | −1.13125 | − | 1.13125i | −0.0369368 | − | 0.0369368i | ||||
\(939\) | 22.5831 | 0.736970 | ||||||||
\(940\) | 23.0760 | + | 4.91315i | 0.752657 | + | 0.160249i | ||||
\(941\) | 22.8383 | − | 13.1857i | 0.744508 | − | 0.429842i | −0.0791980 | − | 0.996859i | \(-0.525236\pi\) |
0.823706 | + | 0.567017i | \(0.191903\pi\) | |||||||
\(942\) | −6.81737 | + | 6.81737i | −0.222122 | + | 0.222122i | ||||
\(943\) | −16.7321 | + | 16.7321i | −0.544872 | + | 0.544872i | ||||
\(944\) | −0.367410 | − | 0.636373i | −0.0119582 | − | 0.0207122i | ||||
\(945\) | −0.617760 | − | 0.315029i | −0.0200957 | − | 0.0102479i | ||||
\(946\) | −47.9421 | + | 27.6794i | −1.55873 | + | 0.899934i | ||||
\(947\) | −3.47159 | − | 12.9561i | −0.112812 | − | 0.421018i | 0.886302 | − | 0.463107i | \(-0.153265\pi\) |
−0.999114 | + | 0.0420887i | \(0.986599\pi\) | |||||||
\(948\) | 13.9441 | − | 3.73631i | 0.452883 | − | 0.121350i | ||||
\(949\) | 17.9236 | 0.581826 | ||||||||
\(950\) | 21.0832 | + | 5.52268i | 0.684028 | + | 0.179179i | ||||
\(951\) | −18.3504 | −0.595053 | ||||||||
\(952\) | −1.02451 | + | 0.274518i | −0.0332047 | + | 0.00889717i | ||||
\(953\) | −7.83734 | − | 29.2494i | −0.253876 | − | 0.947480i | −0.968712 | − | 0.248187i | \(-0.920165\pi\) |
0.714836 | − | 0.699292i | \(-0.246501\pi\) | |||||||
\(954\) | −3.55524 | + | 2.05262i | −0.115105 | + | 0.0664560i | ||||
\(955\) | 34.7919 | + | 17.7423i | 1.12584 | + | 0.574126i | ||||
\(956\) | −11.2975 | − | 19.5679i | −0.365388 | − | 0.632870i | ||||
\(957\) | 30.6860 | − | 30.6860i | 0.991937 | − | 0.991937i | ||||
\(958\) | −0.822156 | + | 0.822156i | −0.0265627 | + | 0.0265627i | ||||
\(959\) | 2.76887 | − | 1.59861i | 0.0894115 | − | 0.0516217i | ||||
\(960\) | −2.18705 | − | 0.465647i | −0.0705866 | − | 0.0150287i | ||||
\(961\) | 23.6293 | 0.762235 | ||||||||
\(962\) | 3.04252 | + | 3.04252i | 0.0980948 | + | 0.0980948i | ||||
\(963\) | −4.59881 | − | 1.23225i | −0.148194 | − | 0.0397086i | ||||
\(964\) | −0.0463334 | + | 0.0802518i | −0.00149230 | + | 0.00258474i | ||||
\(965\) | 0.825099 | − | 3.87532i | 0.0265609 | − | 0.124751i | ||||
\(966\) | −0.360567 | + | 0.624520i | −0.0116011 | + | 0.0200936i | ||||
\(967\) | −0.603511 | − | 2.25233i | −0.0194076 | − | 0.0724302i | 0.955543 | − | 0.294852i | \(-0.0952704\pi\) |
−0.974950 | + | 0.222422i | \(0.928604\pi\) | |||||||
\(968\) | 20.5662 | − | 20.5662i | 0.661022 | − | 0.661022i | ||||
\(969\) | −8.68674 | + | 12.1157i | −0.279058 | + | 0.389214i | ||||
\(970\) | 36.7682 | − | 1.91442i | 1.18055 | − | 0.0614684i | ||||
\(971\) | 1.20002 | + | 0.692830i | 0.0385103 | + | 0.0222340i | 0.519132 | − | 0.854694i | \(-0.326255\pi\) |
−0.480621 | + | 0.876928i | \(0.659589\pi\) | |||||||
\(972\) | 0.965926 | − | 0.258819i | 0.0309821 | − | 0.00830162i | ||||
\(973\) | 1.65673 | − | 6.18299i | 0.0531122 | − | 0.198217i | ||||
\(974\) | −6.17275 | − | 3.56384i | −0.197788 | − | 0.114193i | ||||
\(975\) | −15.0553 | + | 10.9227i | −0.482155 | + | 0.349807i | ||||
\(976\) | 4.34262 | 0.139004 | ||||||||
\(977\) | −3.89608 | − | 3.89608i | −0.124647 | − | 0.124647i | 0.642032 | − | 0.766678i | \(-0.278092\pi\) |
−0.766678 | + | 0.642032i | \(0.778092\pi\) | |||||||
\(978\) | 0.00745323 | − | 0.0278158i | 0.000238328 | − | 0.000889453i | ||||
\(979\) | 32.8082 | + | 56.8255i | 1.04856 | + | 1.81615i | ||||
\(980\) | −0.802699 | − | 15.4165i | −0.0256413 | − | 0.492463i | ||||
\(981\) | 10.0772i | 0.321740i | ||||||||
\(982\) | 3.22329 | − | 12.0295i | 0.102859 | − | 0.383877i | ||||
\(983\) | 0.266143 | + | 0.993259i | 0.00848865 | + | 0.0316801i | 0.970040 | − | 0.242944i | \(-0.0781132\pi\) |
−0.961552 | + | 0.274624i | \(0.911447\pi\) | |||||||
\(984\) | −5.08802 | − | 8.81271i | −0.162200 | − | 0.280939i | ||||
\(985\) | 14.7276 | − | 4.77975i | 0.469259 | − | 0.152295i | ||||
\(986\) | 11.7214 | − | 20.3020i | 0.373285 | − | 0.646549i | ||||
\(987\) | 2.31375 | + | 2.31375i | 0.0736476 | + | 0.0736476i | ||||
\(988\) | 12.5372 | − | 10.2836i | 0.398863 | − | 0.327166i | ||||
\(989\) | 20.3321i | 0.646523i | ||||||||
\(990\) | 13.4657 | − | 4.37023i | 0.427969 | − | 0.138895i | ||||
\(991\) | 22.6210 | + | 13.0602i | 0.718579 | + | 0.414872i | 0.814230 | − | 0.580543i | \(-0.197160\pi\) |
−0.0956503 | + | 0.995415i | \(0.530493\pi\) | |||||||
\(992\) | 2.62240 | + | 0.702670i | 0.0832613 | + | 0.0223098i | ||||
\(993\) | 1.57987 | − | 0.423325i | 0.0501357 | − | 0.0134338i | ||||
\(994\) | 0.356372 | − | 0.205752i | 0.0113034 | − | 0.00652604i | ||||
\(995\) | −17.0327 | + | 0.886849i | −0.539973 | + | 0.0281150i | ||||
\(996\) | − | 0.269510i | − | 0.00853975i | ||||||
\(997\) | 0.0108030 | + | 0.00289465i | 0.000342133 | + | 9.16743e-5i | 0.258990 | − | 0.965880i | \(-0.416610\pi\) |
−0.258648 | + | 0.965972i | \(0.583277\pi\) | |||||||
\(998\) | −20.3781 | − | 5.46030i | −0.645058 | − | 0.172843i | ||||
\(999\) | − | 1.15665i | − | 0.0365947i |
(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 | 570.2.x.b.103.6 | ✓ | 40 | |
5.2 | odd | 4 | inner | 570.2.x.b.217.9 | yes | 40 | |
19.12 | odd | 6 | inner | 570.2.x.b.373.9 | yes | 40 | |
95.12 | even | 12 | inner | 570.2.x.b.487.6 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.x.b.103.6 | ✓ | 40 | 1.1 | even | 1 | trivial | |
570.2.x.b.217.9 | yes | 40 | 5.2 | odd | 4 | inner | |
570.2.x.b.373.9 | yes | 40 | 19.12 | odd | 6 | inner | |
570.2.x.b.487.6 | yes | 40 | 95.12 | even | 12 | inner |