Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(176,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ew (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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 176.6 | ||
Character | \(\chi\) | \(=\) | 819.176 |
Dual form | 819.2.ew.a.470.6 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.80918 | + | 1.80918i | −1.27929 | + | 1.27929i | −0.338219 | + | 0.941067i | \(0.609825\pi\) |
−0.941067 | + | 0.338219i | \(0.890175\pi\) | |||||||
\(3\) | −0.649457 | − | 1.60568i | −0.374964 | − | 0.927039i | ||||
\(4\) | − | 4.54630i | − | 2.27315i | ||||||
\(5\) | 0.921409 | + | 3.43874i | 0.412067 | + | 1.53785i | 0.790639 | + | 0.612282i | \(0.209748\pi\) |
−0.378573 | + | 0.925571i | \(0.623585\pi\) | |||||||
\(6\) | 4.07996 | + | 1.72998i | 1.66564 | + | 0.706262i | ||||
\(7\) | −0.258819 | − | 0.965926i | −0.0978244 | − | 0.365086i | ||||
\(8\) | 4.60672 | + | 4.60672i | 1.62872 | + | 1.62872i | ||||
\(9\) | −2.15641 | + | 2.08564i | −0.718803 | + | 0.695213i | ||||
\(10\) | −7.88832 | − | 4.55433i | −2.49451 | − | 1.44020i | ||||
\(11\) | 4.12598 | + | 4.12598i | 1.24403 | + | 1.24403i | 0.958315 | + | 0.285715i | \(0.0922311\pi\) |
0.285715 | + | 0.958315i | \(0.407769\pi\) | |||||||
\(12\) | −7.29990 | + | 2.95263i | −2.10730 | + | 0.852350i | ||||
\(13\) | 2.00529 | + | 2.99647i | 0.556167 | + | 0.831070i | ||||
\(14\) | 2.21579 | + | 1.27929i | 0.592195 | + | 0.341904i | ||||
\(15\) | 4.92310 | − | 3.71281i | 1.27114 | − | 0.958642i | ||||
\(16\) | −7.57623 | −1.89406 | ||||||||
\(17\) | −2.65008 | − | 4.59007i | −0.642738 | − | 1.11325i | −0.984819 | − | 0.173584i | \(-0.944465\pi\) |
0.342081 | − | 0.939670i | \(-0.388868\pi\) | |||||||
\(18\) | 0.128037 | − | 7.67465i | 0.0301785 | − | 1.80893i | ||||
\(19\) | 1.48857 | − | 5.55542i | 0.341501 | − | 1.27450i | −0.555146 | − | 0.831753i | \(-0.687337\pi\) |
0.896647 | − | 0.442747i | \(-0.145996\pi\) | |||||||
\(20\) | 15.6336 | − | 4.18900i | 3.49577 | − | 0.936689i | ||||
\(21\) | −1.38287 | + | 1.04291i | −0.301768 | + | 0.227581i | ||||
\(22\) | −14.9293 | −3.18294 | ||||||||
\(23\) | 0.288508 | + | 0.499711i | 0.0601581 | + | 0.104197i | 0.894536 | − | 0.446996i | \(-0.147506\pi\) |
−0.834378 | + | 0.551193i | \(0.814173\pi\) | |||||||
\(24\) | 4.40505 | − | 10.3888i | 0.899177 | − | 2.12060i | ||||
\(25\) | −6.64584 | + | 3.83698i | −1.32917 | + | 0.767396i | ||||
\(26\) | −9.04910 | − | 1.79322i | −1.77467 | − | 0.351680i | ||||
\(27\) | 4.74936 | + | 2.10797i | 0.914016 | + | 0.405679i | ||||
\(28\) | −4.39139 | + | 1.17667i | −0.829894 | + | 0.222369i | ||||
\(29\) | − | 1.42951i | − | 0.265453i | −0.991153 | − | 0.132726i | \(-0.957627\pi\) | ||
0.991153 | − | 0.132726i | \(-0.0423732\pi\) | |||||||
\(30\) | −2.18966 | + | 15.6240i | −0.399775 | + | 2.85253i | ||||
\(31\) | 1.47066 | − | 0.394062i | 0.264138 | − | 0.0707756i | −0.124319 | − | 0.992242i | \(-0.539675\pi\) |
0.388458 | + | 0.921467i | \(0.373008\pi\) | |||||||
\(32\) | 4.49335 | − | 4.49335i | 0.794320 | − | 0.794320i | ||||
\(33\) | 3.94535 | − | 9.30465i | 0.686798 | − | 1.61973i | ||||
\(34\) | 13.0988 | + | 3.50980i | 2.24642 | + | 0.601926i | ||||
\(35\) | 3.08309 | − | 1.78003i | 0.521138 | − | 0.300879i | ||||
\(36\) | 9.48194 | + | 9.80368i | 1.58032 | + | 1.63395i | ||||
\(37\) | 1.40201 | + | 5.23236i | 0.230488 | + | 0.860195i | 0.980131 | + | 0.198352i | \(0.0635588\pi\) |
−0.749642 | + | 0.661843i | \(0.769775\pi\) | |||||||
\(38\) | 7.35768 | + | 12.7439i | 1.19357 | + | 2.06733i | ||||
\(39\) | 3.50901 | − | 5.16593i | 0.561892 | − | 0.827211i | ||||
\(40\) | −11.5967 | + | 20.0860i | −1.83359 | + | 3.17588i | ||||
\(41\) | −4.89081 | − | 1.31049i | −0.763817 | − | 0.204664i | −0.144178 | − | 0.989552i | \(-0.546054\pi\) |
−0.619638 | + | 0.784888i | \(0.712721\pi\) | |||||||
\(42\) | 0.615063 | − | 4.38869i | 0.0949063 | − | 0.677189i | ||||
\(43\) | 5.10535 | + | 2.94758i | 0.778559 | + | 0.449501i | 0.835919 | − | 0.548852i | \(-0.184935\pi\) |
−0.0573602 | + | 0.998354i | \(0.518268\pi\) | |||||||
\(44\) | 18.7579 | − | 18.7579i | 2.82786 | − | 2.82786i | ||||
\(45\) | −9.15892 | − | 5.49362i | −1.36533 | − | 0.818940i | ||||
\(46\) | −1.42603 | − | 0.382105i | −0.210257 | − | 0.0563383i | ||||
\(47\) | −2.91461 | + | 10.8775i | −0.425140 | + | 1.58664i | 0.338478 | + | 0.940974i | \(0.390088\pi\) |
−0.763618 | + | 0.645669i | \(0.776579\pi\) | |||||||
\(48\) | 4.92044 | + | 12.1650i | 0.710204 | + | 1.75587i | ||||
\(49\) | −0.866025 | + | 0.500000i | −0.123718 | + | 0.0714286i | ||||
\(50\) | 5.08175 | − | 18.9654i | 0.718669 | − | 2.68211i | ||||
\(51\) | −5.64906 | + | 7.23622i | −0.791027 | + | 1.01327i | ||||
\(52\) | 13.6228 | − | 9.11664i | 1.88915 | − | 1.26425i | ||||
\(53\) | 1.68804i | 0.231870i | 0.993257 | + | 0.115935i | \(0.0369864\pi\) | ||||
−0.993257 | + | 0.115935i | \(0.963014\pi\) | |||||||
\(54\) | −12.4062 | + | 4.77877i | −1.68827 | + | 0.650309i | ||||
\(55\) | −10.3865 | + | 17.9899i | −1.40051 | + | 2.42576i | ||||
\(56\) | 3.25745 | − | 5.64206i | 0.435294 | − | 0.753952i | ||||
\(57\) | −9.88698 | + | 1.21784i | −1.30956 | + | 0.161307i | ||||
\(58\) | 2.58624 | + | 2.58624i | 0.339590 | + | 0.339590i | ||||
\(59\) | 9.92118 | + | 9.92118i | 1.29163 | + | 1.29163i | 0.933780 | + | 0.357849i | \(0.116490\pi\) |
0.357849 | + | 0.933780i | \(0.383510\pi\) | |||||||
\(60\) | −16.8795 | − | 22.3819i | −2.17914 | − | 2.88949i | ||||
\(61\) | 0.0677099 | − | 0.117277i | 0.00866936 | − | 0.0150158i | −0.861658 | − | 0.507489i | \(-0.830574\pi\) |
0.870328 | + | 0.492473i | \(0.163907\pi\) | |||||||
\(62\) | −1.94776 | + | 3.37363i | −0.247366 | + | 0.428451i | ||||
\(63\) | 2.57269 | + | 1.54313i | 0.324129 | + | 0.194416i | ||||
\(64\) | 1.10614i | 0.138268i | ||||||||
\(65\) | −8.45639 | + | 9.65665i | −1.04889 | + | 1.19776i | ||||
\(66\) | 9.69596 | + | 23.9717i | 1.19349 | + | 2.95071i | ||||
\(67\) | −1.64006 | + | 6.12079i | −0.200365 | + | 0.747774i | 0.790447 | + | 0.612530i | \(0.209848\pi\) |
−0.990812 | + | 0.135243i | \(0.956818\pi\) | |||||||
\(68\) | −20.8678 | + | 12.0480i | −2.53059 | + | 1.46104i | ||||
\(69\) | 0.615002 | − | 0.787793i | 0.0740375 | − | 0.0948391i | ||||
\(70\) | −2.35749 | + | 8.79828i | −0.281774 | + | 1.05160i | ||||
\(71\) | −6.69920 | − | 1.79504i | −0.795048 | − | 0.213033i | −0.161640 | − | 0.986850i | \(-0.551678\pi\) |
−0.633409 | + | 0.773817i | \(0.718345\pi\) | |||||||
\(72\) | −19.5420 | − | 0.326019i | −2.30304 | − | 0.0384218i | ||||
\(73\) | −5.00834 | + | 5.00834i | −0.586182 | + | 0.586182i | −0.936595 | − | 0.350413i | \(-0.886041\pi\) |
0.350413 | + | 0.936595i | \(0.386041\pi\) | |||||||
\(74\) | −12.0028 | − | 6.92982i | −1.39530 | − | 0.805575i | ||||
\(75\) | 10.4772 | + | 8.17914i | 1.20980 | + | 0.944446i | ||||
\(76\) | −25.2566 | − | 6.76748i | −2.89713 | − | 0.776283i | ||||
\(77\) | 2.91751 | − | 5.05327i | 0.332481 | − | 0.575874i | ||||
\(78\) | 2.99766 | + | 15.6946i | 0.339419 | + | 1.77706i | ||||
\(79\) | 2.37311 | + | 4.11035i | 0.266996 | + | 0.462450i | 0.968085 | − | 0.250624i | \(-0.0806357\pi\) |
−0.701089 | + | 0.713074i | \(0.747302\pi\) | |||||||
\(80\) | −6.98080 | − | 26.0527i | −0.780478 | − | 2.91278i | ||||
\(81\) | 0.300211 | − | 8.99499i | 0.0333568 | − | 0.999444i | ||||
\(82\) | 11.2193 | − | 6.47747i | 1.23896 | − | 0.715316i | ||||
\(83\) | −6.62841 | − | 1.77608i | −0.727563 | − | 0.194950i | −0.124019 | − | 0.992280i | \(-0.539578\pi\) |
−0.603544 | + | 0.797330i | \(0.706245\pi\) | |||||||
\(84\) | 4.74137 | + | 6.28696i | 0.517326 | + | 0.685964i | ||||
\(85\) | 13.3423 | − | 13.3423i | 1.44717 | − | 1.44717i | ||||
\(86\) | −14.5692 | + | 3.90382i | −1.57104 | + | 0.420959i | ||||
\(87\) | −2.29533 | + | 0.928404i | −0.246085 | + | 0.0995354i | ||||
\(88\) | 38.0145i | 4.05236i | ||||||||
\(89\) | 3.88990 | − | 1.04230i | 0.412329 | − | 0.110483i | −0.0466906 | − | 0.998909i | \(-0.514867\pi\) |
0.459019 | + | 0.888426i | \(0.348201\pi\) | |||||||
\(90\) | 26.5091 | − | 6.63121i | 2.79431 | − | 0.698991i | ||||
\(91\) | 2.37536 | − | 2.71250i | 0.249005 | − | 0.284348i | ||||
\(92\) | 2.27183 | − | 1.31164i | 0.236855 | − | 0.136748i | ||||
\(93\) | −1.58787 | − | 2.10548i | −0.164654 | − | 0.218328i | ||||
\(94\) | −14.4063 | − | 24.9524i | −1.48590 | − | 2.57365i | ||||
\(95\) | 20.4752 | 2.10072 | ||||||||
\(96\) | −10.1331 | − | 4.29664i | −1.03421 | − | 0.438524i | ||||
\(97\) | 3.22051 | − | 0.862932i | 0.326993 | − | 0.0876175i | −0.0915880 | − | 0.995797i | \(-0.529194\pi\) |
0.418581 | + | 0.908180i | \(0.362528\pi\) | |||||||
\(98\) | 0.662208 | − | 2.47139i | 0.0668931 | − | 0.249648i | ||||
\(99\) | −17.5026 | − | 0.291997i | −1.75908 | − | 0.0293468i | ||||
\(100\) | 17.4441 | + | 30.2140i | 1.74441 | + | 3.02140i | ||||
\(101\) | 6.55645 | 0.652391 | 0.326196 | − | 0.945302i | \(-0.394233\pi\) | ||||
0.326196 | + | 0.945302i | \(0.394233\pi\) | |||||||
\(102\) | −2.87147 | − | 23.3119i | −0.284318 | − | 2.30822i | ||||
\(103\) | −10.4207 | − | 6.01642i | −1.02679 | − | 0.592815i | −0.110724 | − | 0.993851i | \(-0.535317\pi\) |
−0.916062 | + | 0.401036i | \(0.868650\pi\) | |||||||
\(104\) | −4.56608 | + | 23.0417i | −0.447741 | + | 2.25943i | ||||
\(105\) | −4.86049 | − | 3.79441i | −0.474335 | − | 0.370296i | ||||
\(106\) | −3.05397 | − | 3.05397i | −0.296628 | − | 0.296628i | ||||
\(107\) | −2.37242 | − | 1.36971i | −0.229350 | − | 0.132415i | 0.380922 | − | 0.924607i | \(-0.375607\pi\) |
−0.610272 | + | 0.792192i | \(0.708940\pi\) | |||||||
\(108\) | 9.58345 | − | 21.5920i | 0.922168 | − | 2.07769i | ||||
\(109\) | 10.7330 | + | 10.7330i | 1.02804 | + | 1.02804i | 0.999595 | + | 0.0284428i | \(0.00905485\pi\) |
0.0284428 | + | 0.999595i | \(0.490945\pi\) | |||||||
\(110\) | −13.7560 | − | 51.3381i | −1.31158 | − | 4.89490i | ||||
\(111\) | 7.49095 | − | 5.64937i | 0.711009 | − | 0.536214i | ||||
\(112\) | 1.96087 | + | 7.31808i | 0.185285 | + | 0.691493i | ||||
\(113\) | 6.00042i | 0.564472i | 0.959345 | + | 0.282236i | \(0.0910762\pi\) | ||||
−0.959345 | + | 0.282236i | \(0.908924\pi\) | |||||||
\(114\) | 15.6841 | − | 20.0907i | 1.46895 | − | 1.88166i | ||||
\(115\) | −1.45254 | + | 1.45254i | −0.135450 | + | 0.135450i | ||||
\(116\) | −6.49897 | −0.603414 | ||||||||
\(117\) | −10.5738 | − | 2.27930i | −0.977546 | − | 0.210721i | ||||
\(118\) | −35.8985 | −3.30473 | ||||||||
\(119\) | −3.74777 | + | 3.74777i | −0.343558 | + | 0.343558i | ||||
\(120\) | 39.7832 | + | 5.57552i | 3.63170 | + | 0.508973i | ||||
\(121\) | 23.0474i | 2.09522i | ||||||||
\(122\) | 0.0896760 | + | 0.334675i | 0.00811888 | + | 0.0303001i | ||||
\(123\) | 1.07215 | + | 8.70418i | 0.0966724 | + | 0.784830i | ||||
\(124\) | −1.79152 | − | 6.68606i | −0.160884 | − | 0.600426i | ||||
\(125\) | −6.73126 | − | 6.73126i | −0.602062 | − | 0.602062i | ||||
\(126\) | −7.44628 | + | 1.86267i | −0.663368 | + | 0.165940i | ||||
\(127\) | −14.0789 | − | 8.12846i | −1.24930 | − | 0.721284i | −0.278331 | − | 0.960485i | \(-0.589781\pi\) |
−0.970970 | + | 0.239201i | \(0.923115\pi\) | |||||||
\(128\) | 6.98548 | + | 6.98548i | 0.617435 | + | 0.617435i | ||||
\(129\) | 1.41715 | − | 10.1119i | 0.124773 | − | 0.890302i | ||||
\(130\) | −2.17149 | − | 32.7698i | −0.190452 | − | 2.87411i | ||||
\(131\) | 15.0825 | + | 8.70789i | 1.31777 | + | 0.760812i | 0.983369 | − | 0.181620i | \(-0.0581341\pi\) |
0.334397 | + | 0.942432i | \(0.391467\pi\) | |||||||
\(132\) | −42.3017 | − | 17.9367i | −3.68189 | − | 1.56119i | ||||
\(133\) | −5.75139 | −0.498709 | ||||||||
\(134\) | −8.10647 | − | 14.0408i | −0.700292 | − | 1.21294i | ||||
\(135\) | −2.87266 | + | 18.2742i | −0.247239 | + | 1.57279i | ||||
\(136\) | 8.93700 | − | 33.3533i | 0.766341 | − | 2.86002i | ||||
\(137\) | −12.8435 | + | 3.44141i | −1.09730 | + | 0.294020i | −0.761663 | − | 0.647973i | \(-0.775617\pi\) |
−0.335633 | + | 0.941993i | \(0.608950\pi\) | |||||||
\(138\) | 0.312611 | + | 2.53791i | 0.0266112 | + | 0.216042i | ||||
\(139\) | −9.24740 | −0.784354 | −0.392177 | − | 0.919890i | \(-0.628278\pi\) | ||||
−0.392177 | + | 0.919890i | \(0.628278\pi\) | |||||||
\(140\) | −8.09253 | − | 14.0167i | −0.683943 | − | 1.18462i | ||||
\(141\) | 19.3586 | − | 2.38453i | 1.63029 | − | 0.200813i | ||||
\(142\) | 15.3677 | − | 8.87252i | 1.28962 | − | 0.744565i | ||||
\(143\) | −4.08958 | + | 20.6371i | −0.341988 | + | 1.72576i | ||||
\(144\) | 16.3375 | − | 15.8013i | 1.36145 | − | 1.31677i | ||||
\(145\) | 4.91571 | − | 1.31716i | 0.408228 | − | 0.109384i | ||||
\(146\) | − | 18.1220i | − | 1.49979i | ||||||
\(147\) | 1.36529 | + | 1.06583i | 0.112607 | + | 0.0879082i | ||||
\(148\) | 23.7879 | − | 6.37394i | 1.95535 | − | 0.523935i | ||||
\(149\) | 6.94372 | − | 6.94372i | 0.568851 | − | 0.568851i | −0.362955 | − | 0.931807i | \(-0.618232\pi\) |
0.931807 | + | 0.362955i | \(0.118232\pi\) | |||||||
\(150\) | −33.7527 | + | 4.15753i | −2.75589 | + | 0.339461i | ||||
\(151\) | 4.59163 | + | 1.23032i | 0.373661 | + | 0.100122i | 0.440762 | − | 0.897624i | \(-0.354708\pi\) |
−0.0671008 | + | 0.997746i | \(0.521375\pi\) | |||||||
\(152\) | 32.4497 | − | 18.7348i | 2.63202 | − | 1.51960i | ||||
\(153\) | 15.2879 | + | 4.37096i | 1.23595 | + | 0.353371i | ||||
\(154\) | 3.86399 | + | 14.4206i | 0.311369 | + | 1.16205i | ||||
\(155\) | 2.71016 | + | 4.69413i | 0.217685 | + | 0.377042i | ||||
\(156\) | −23.4859 | − | 15.9530i | −1.88037 | − | 1.27726i | ||||
\(157\) | 6.30842 | − | 10.9265i | 0.503467 | − | 0.872030i | −0.496525 | − | 0.868022i | \(-0.665391\pi\) |
0.999992 | − | 0.00400781i | \(-0.00127573\pi\) | |||||||
\(158\) | −11.7298 | − | 3.14298i | −0.933171 | − | 0.250042i | ||||
\(159\) | 2.71045 | − | 1.09631i | 0.214953 | − | 0.0869430i | ||||
\(160\) | 19.5917 | + | 11.3113i | 1.54886 | + | 0.894235i | ||||
\(161\) | 0.408012 | − | 0.408012i | 0.0321559 | − | 0.0321559i | ||||
\(162\) | 15.7305 | + | 16.8167i | 1.23590 | + | 1.32125i | ||||
\(163\) | −3.34358 | − | 0.895911i | −0.261890 | − | 0.0701731i | 0.125485 | − | 0.992096i | \(-0.459951\pi\) |
−0.387375 | + | 0.921922i | \(0.626618\pi\) | |||||||
\(164\) | −5.95787 | + | 22.2351i | −0.465232 | + | 1.73627i | ||||
\(165\) | 35.6316 | + | 4.99367i | 2.77392 | + | 0.388757i | ||||
\(166\) | 15.2053 | − | 8.77877i | 1.18016 | − | 0.681364i | ||||
\(167\) | −1.70285 | + | 6.35513i | −0.131771 | + | 0.491775i | −0.999990 | − | 0.00440524i | \(-0.998598\pi\) |
0.868220 | + | 0.496180i | \(0.165264\pi\) | |||||||
\(168\) | −11.1749 | − | 1.56613i | −0.862163 | − | 0.120830i | ||||
\(169\) | −4.95763 | + | 12.0176i | −0.381356 | + | 0.924428i | ||||
\(170\) | 48.2772i | 3.70269i | ||||||||
\(171\) | 8.37663 | + | 15.0844i | 0.640577 | + | 1.15353i | ||||
\(172\) | 13.4006 | − | 23.2105i | 1.02178 | − | 1.76978i | ||||
\(173\) | −3.27998 | + | 5.68109i | −0.249372 | + | 0.431926i | −0.963352 | − | 0.268241i | \(-0.913558\pi\) |
0.713979 | + | 0.700167i | \(0.246891\pi\) | |||||||
\(174\) | 2.47302 | − | 5.83233i | 0.187479 | − | 0.442148i | ||||
\(175\) | 5.42631 | + | 5.42631i | 0.410190 | + | 0.410190i | ||||
\(176\) | −31.2594 | − | 31.2594i | −2.35626 | − | 2.35626i | ||||
\(177\) | 9.48685 | − | 22.3736i | 0.713075 | − | 1.68170i | ||||
\(178\) | −5.15184 | + | 8.92326i | −0.386147 | + | 0.668826i | ||||
\(179\) | −3.32617 | + | 5.76110i | −0.248610 | + | 0.430605i | −0.963140 | − | 0.268999i | \(-0.913307\pi\) |
0.714530 | + | 0.699604i | \(0.246640\pi\) | |||||||
\(180\) | −24.9756 | + | 41.6392i | −1.86157 | + | 3.10360i | ||||
\(181\) | − | 0.170956i | − | 0.0127071i | −0.999980 | − | 0.00635353i | \(-0.997978\pi\) | ||
0.999980 | − | 0.00635353i | \(-0.00202241\pi\) | |||||||
\(182\) | 0.609960 | + | 9.20488i | 0.0452132 | + | 0.682311i | ||||
\(183\) | −0.232284 | − | 0.0325540i | −0.0171709 | − | 0.00240646i | ||||
\(184\) | −0.972952 | + | 3.63111i | −0.0717270 | + | 0.267689i | ||||
\(185\) | −16.7009 | + | 9.64228i | −1.22788 | + | 0.708915i | ||||
\(186\) | 6.68195 | + | 0.936458i | 0.489944 | + | 0.0686644i | ||||
\(187\) | 8.00436 | − | 29.8727i | 0.585337 | − | 2.18451i | ||||
\(188\) | 49.4522 | + | 13.2507i | 3.60668 | + | 0.966406i | ||||
\(189\) | 0.806915 | − | 5.13312i | 0.0586945 | − | 0.373379i | ||||
\(190\) | −37.0435 | + | 37.0435i | −2.68742 | + | 2.68742i | ||||
\(191\) | 11.4904 | + | 6.63401i | 0.831419 | + | 0.480020i | 0.854338 | − | 0.519718i | \(-0.173963\pi\) |
−0.0229195 | + | 0.999737i | \(0.507296\pi\) | |||||||
\(192\) | 1.77611 | − | 0.718393i | 0.128180 | − | 0.0518456i | ||||
\(193\) | −22.1457 | − | 5.93391i | −1.59408 | − | 0.427132i | −0.650831 | − | 0.759222i | \(-0.725579\pi\) |
−0.943248 | + | 0.332090i | \(0.892246\pi\) | |||||||
\(194\) | −4.26529 | + | 7.38769i | −0.306230 | + | 0.530406i | ||||
\(195\) | 20.9975 | + | 7.30667i | 1.50367 | + | 0.523242i | ||||
\(196\) | 2.27315 | + | 3.93721i | 0.162368 | + | 0.281229i | ||||
\(197\) | 1.47463 | + | 5.50341i | 0.105063 | + | 0.392102i | 0.998352 | − | 0.0573811i | \(-0.0182750\pi\) |
−0.893289 | + | 0.449483i | \(0.851608\pi\) | |||||||
\(198\) | 32.1937 | − | 31.1372i | 2.28791 | − | 2.21282i | ||||
\(199\) | 10.5889 | − | 6.11352i | 0.750629 | − | 0.433376i | −0.0752921 | − | 0.997162i | \(-0.523989\pi\) |
0.825921 | + | 0.563786i | \(0.190656\pi\) | |||||||
\(200\) | −48.2915 | − | 12.9397i | −3.41472 | − | 0.914972i | ||||
\(201\) | 10.8932 | − | 1.34178i | 0.768345 | − | 0.0946419i | ||||
\(202\) | −11.8618 | + | 11.8618i | −0.834596 | + | 0.834596i | ||||
\(203\) | −1.38080 | + | 0.369984i | −0.0969131 | + | 0.0259678i | ||||
\(204\) | 32.8980 | + | 25.6823i | 2.30332 | + | 1.79812i | ||||
\(205\) | − | 18.0258i | − | 1.25897i | ||||||
\(206\) | 29.7379 | − | 7.96824i | 2.07193 | − | 0.555173i | ||||
\(207\) | −1.66436 | − | 0.475857i | −0.115681 | − | 0.0330744i | ||||
\(208\) | −15.1925 | − | 22.7019i | −1.05341 | − | 1.57409i | ||||
\(209\) | 29.0633 | − | 16.7797i | 2.01035 | − | 1.16068i | ||||
\(210\) | 15.6583 | − | 1.92873i | 1.08053 | − | 0.133095i | ||||
\(211\) | 9.60935 | + | 16.6439i | 0.661535 | + | 1.14581i | 0.980212 | + | 0.197949i | \(0.0634281\pi\) |
−0.318677 | + | 0.947863i | \(0.603239\pi\) | |||||||
\(212\) | 7.67433 | 0.527075 | ||||||||
\(213\) | 1.46858 | + | 11.9226i | 0.100625 | + | 0.816921i | ||||
\(214\) | 6.77020 | − | 1.81407i | 0.462802 | − | 0.124007i | ||||
\(215\) | −5.43185 | + | 20.2719i | −0.370449 | + | 1.38253i | ||||
\(216\) | 12.1682 | + | 31.5898i | 0.827940 | + | 2.14942i | ||||
\(217\) | −0.761270 | − | 1.31856i | −0.0516783 | − | 0.0895095i | ||||
\(218\) | −38.8361 | −2.63031 | ||||||||
\(219\) | 11.2945 | + | 4.78909i | 0.763212 | + | 0.323617i | ||||
\(220\) | 81.7875 | + | 47.2200i | 5.51411 | + | 3.18357i | ||||
\(221\) | 8.43981 | − | 17.1453i | 0.567723 | − | 1.15332i | ||||
\(222\) | −3.33176 | + | 23.7733i | −0.223613 | + | 1.59556i | ||||
\(223\) | 14.2892 | + | 14.2892i | 0.956874 | + | 0.956874i | 0.999108 | − | 0.0422338i | \(-0.0134474\pi\) |
−0.0422338 | + | 0.999108i | \(0.513447\pi\) | |||||||
\(224\) | −5.50321 | − | 3.17728i | −0.367699 | − | 0.212291i | ||||
\(225\) | 6.32861 | − | 22.1349i | 0.421907 | − | 1.47566i | ||||
\(226\) | −10.8559 | − | 10.8559i | −0.722122 | − | 0.722122i | ||||
\(227\) | −4.19920 | − | 15.6716i | −0.278710 | − | 1.04016i | −0.953314 | − | 0.301981i | \(-0.902352\pi\) |
0.674603 | − | 0.738180i | \(-0.264315\pi\) | |||||||
\(228\) | 5.53667 | + | 44.9491i | 0.366675 | + | 2.97683i | ||||
\(229\) | −2.99216 | − | 11.1669i | −0.197728 | − | 0.737930i | −0.991544 | − | 0.129772i | \(-0.958575\pi\) |
0.793816 | − | 0.608158i | \(-0.208091\pi\) | |||||||
\(230\) | − | 5.25584i | − | 0.346560i | ||||||
\(231\) | −10.0087 | − | 1.40270i | −0.658526 | − | 0.0922907i | ||||
\(232\) | 6.58535 | − | 6.58535i | 0.432349 | − | 0.432349i | ||||
\(233\) | 0.0414621 | 0.00271627 | 0.00135814 | − | 0.999999i | \(-0.499568\pi\) | ||||
0.00135814 | + | 0.999999i | \(0.499568\pi\) | |||||||
\(234\) | 23.2536 | − | 15.0062i | 1.52013 | − | 0.980989i | ||||
\(235\) | −40.0904 | −2.61521 | ||||||||
\(236\) | 45.1047 | − | 45.1047i | 2.93606 | − | 2.93606i | ||||
\(237\) | 5.05866 | − | 6.47995i | 0.328596 | − | 0.420918i | ||||
\(238\) | − | 13.5608i | − | 0.879018i | ||||||
\(239\) | −6.64213 | − | 24.7888i | −0.429644 | − | 1.60345i | −0.753569 | − | 0.657369i | \(-0.771669\pi\) |
0.323925 | − | 0.946083i | \(-0.394997\pi\) | |||||||
\(240\) | −37.2986 | + | 28.1291i | −2.40761 | + | 1.81572i | ||||
\(241\) | −1.60217 | − | 5.97938i | −0.103205 | − | 0.385166i | 0.894930 | − | 0.446206i | \(-0.147225\pi\) |
−0.998135 | + | 0.0610397i | \(0.980558\pi\) | |||||||
\(242\) | −41.6970 | − | 41.6970i | −2.68039 | − | 2.68039i | ||||
\(243\) | −14.6380 | + | 5.35982i | −0.939031 | + | 0.343833i | ||||
\(244\) | −0.533176 | − | 0.307829i | −0.0341331 | − | 0.0197068i | ||||
\(245\) | −2.51734 | − | 2.51734i | −0.160827 | − | 0.160827i | ||||
\(246\) | −17.6872 | − | 13.8078i | −1.12769 | − | 0.880350i | ||||
\(247\) | 19.6316 | − | 6.67977i | 1.24913 | − | 0.425024i | ||||
\(248\) | 8.59026 | + | 4.95959i | 0.545482 | + | 0.314934i | ||||
\(249\) | 1.45306 | + | 11.7966i | 0.0920839 | + | 0.747578i | ||||
\(250\) | 24.3562 | 1.54042 | ||||||||
\(251\) | 2.07512 | + | 3.59422i | 0.130981 | + | 0.226865i | 0.924055 | − | 0.382260i | \(-0.124854\pi\) |
−0.793074 | + | 0.609125i | \(0.791521\pi\) | |||||||
\(252\) | 7.01552 | − | 11.6962i | 0.441937 | − | 0.736793i | ||||
\(253\) | −0.871418 | + | 3.25218i | −0.0547856 | + | 0.204463i | ||||
\(254\) | 40.1772 | − | 10.7655i | 2.52094 | − | 0.675485i | ||||
\(255\) | −30.0886 | − | 12.7582i | −1.88422 | − | 0.798947i | ||||
\(256\) | −27.4883 | −1.71802 | ||||||||
\(257\) | −14.7013 | − | 25.4635i | −0.917044 | − | 1.58837i | −0.803881 | − | 0.594790i | \(-0.797235\pi\) |
−0.113163 | − | 0.993576i | \(-0.536098\pi\) | |||||||
\(258\) | 15.7304 | + | 20.8582i | 0.979330 | + | 1.29857i | ||||
\(259\) | 4.69120 | − | 2.70847i | 0.291497 | − | 0.168296i | ||||
\(260\) | 43.9020 | + | 38.4453i | 2.72269 | + | 2.38428i | ||||
\(261\) | 2.98144 | + | 3.08261i | 0.184546 | + | 0.190809i | ||||
\(262\) | −43.0412 | + | 11.5329i | −2.65910 | + | 0.712503i | ||||
\(263\) | 17.7679i | 1.09562i | 0.836603 | + | 0.547809i | \(0.184538\pi\) | ||||
−0.836603 | + | 0.547809i | \(0.815462\pi\) | |||||||
\(264\) | 61.0391 | − | 24.6888i | 3.75670 | − | 1.51949i | ||||
\(265\) | −5.80474 | + | 1.55537i | −0.356582 | + | 0.0955459i | ||||
\(266\) | 10.4053 | − | 10.4053i | 0.637992 | − | 0.637992i | ||||
\(267\) | −4.19992 | − | 5.56901i | −0.257031 | − | 0.340818i | ||||
\(268\) | 27.8269 | + | 7.45621i | 1.69980 | + | 0.455460i | ||||
\(269\) | −13.4284 | + | 7.75288i | −0.818743 | + | 0.472702i | −0.849983 | − | 0.526810i | \(-0.823388\pi\) |
0.0312396 | + | 0.999512i | \(0.490055\pi\) | |||||||
\(270\) | −27.8641 | − | 38.2585i | −1.69576 | − | 2.32834i | ||||
\(271\) | 2.82237 | + | 10.5332i | 0.171447 | + | 0.639848i | 0.997130 | + | 0.0757137i | \(0.0241235\pi\) |
−0.825683 | + | 0.564135i | \(0.809210\pi\) | |||||||
\(272\) | 20.0776 | + | 34.7754i | 1.21738 | + | 2.10857i | ||||
\(273\) | −5.89810 | − | 2.05241i | −0.356969 | − | 0.124217i | ||||
\(274\) | 17.0102 | − | 29.4625i | 1.02762 | − | 1.77989i | ||||
\(275\) | −43.2519 | − | 11.5893i | −2.60819 | − | 0.698862i | ||||
\(276\) | −3.58154 | − | 2.79598i | −0.215583 | − | 0.168298i | ||||
\(277\) | 0.0463685 | + | 0.0267709i | 0.00278601 | + | 0.00160851i | 0.501392 | − | 0.865220i | \(-0.332821\pi\) |
−0.498606 | + | 0.866829i | \(0.666155\pi\) | |||||||
\(278\) | 16.7303 | − | 16.7303i | 1.00341 | − | 1.00341i | ||||
\(279\) | −2.34947 | + | 3.91703i | −0.140659 | + | 0.234506i | ||||
\(280\) | 22.4030 | + | 6.00288i | 1.33884 | + | 0.358741i | ||||
\(281\) | 2.05289 | − | 7.66150i | 0.122465 | − | 0.457047i | −0.877271 | − | 0.479995i | \(-0.840639\pi\) |
0.999737 | + | 0.0229481i | \(0.00730524\pi\) | |||||||
\(282\) | −30.7093 | + | 39.3374i | −1.82871 | + | 2.34251i | ||||
\(283\) | 25.2998 | − | 14.6069i | 1.50392 | − | 0.868287i | 0.503928 | − | 0.863746i | \(-0.331888\pi\) |
0.999990 | − | 0.00454157i | \(-0.00144563\pi\) | |||||||
\(284\) | −8.16081 | + | 30.4565i | −0.484255 | + | 1.80726i | ||||
\(285\) | −13.2978 | − | 32.8767i | −0.787693 | − | 1.94745i | ||||
\(286\) | −29.9376 | − | 44.7352i | −1.77025 | − | 2.64525i | ||||
\(287\) | 5.06334i | 0.298880i | ||||||||
\(288\) | −0.317996 | + | 19.0610i | −0.0187381 | + | 1.12318i | ||||
\(289\) | −5.54580 | + | 9.60561i | −0.326224 | + | 0.565036i | ||||
\(290\) | −6.51044 | + | 11.2764i | −0.382306 | + | 0.662174i | ||||
\(291\) | −3.47717 | − | 4.61066i | −0.203836 | − | 0.270282i | ||||
\(292\) | 22.7694 | + | 22.7694i | 1.33248 | + | 1.33248i | ||||
\(293\) | 8.83204 | + | 8.83204i | 0.515973 | + | 0.515973i | 0.916350 | − | 0.400377i | \(-0.131121\pi\) |
−0.400377 | + | 0.916350i | \(0.631121\pi\) | |||||||
\(294\) | −4.39834 | + | 0.541771i | −0.256516 | + | 0.0315967i | ||||
\(295\) | −24.9750 | + | 43.2579i | −1.45410 | + | 2.51857i | ||||
\(296\) | −17.6454 | + | 30.5627i | −1.02562 | + | 1.77642i | ||||
\(297\) | 10.8983 | + | 28.2932i | 0.632386 | + | 1.64174i | ||||
\(298\) | 25.1249i | 1.45545i | ||||||||
\(299\) | −0.918825 | + | 1.86657i | −0.0531370 | + | 0.107947i | ||||
\(300\) | 37.1848 | − | 47.6323i | 2.14687 | − | 2.75005i | ||||
\(301\) | 1.52578 | − | 5.69428i | 0.0879444 | − | 0.328213i | ||||
\(302\) | −10.5330 | + | 6.08122i | −0.606105 | + | 0.349935i | ||||
\(303\) | −4.25814 | − | 10.5276i | −0.244624 | − | 0.604792i | ||||
\(304\) | −11.2777 | + | 42.0891i | −0.646823 | + | 2.41398i | ||||
\(305\) | 0.465674 | + | 0.124777i | 0.0266644 | + | 0.00714471i | ||||
\(306\) | −35.5665 | + | 19.7507i | −2.03320 | + | 1.12907i | ||||
\(307\) | 15.6921 | − | 15.6921i | 0.895594 | − | 0.895594i | −0.0994485 | − | 0.995043i | \(-0.531708\pi\) |
0.995043 | + | 0.0994485i | \(0.0317079\pi\) | |||||||
\(308\) | −22.9737 | − | 13.2639i | −1.30905 | − | 0.755779i | ||||
\(309\) | −2.89261 | + | 20.6398i | −0.164555 | + | 1.17416i | ||||
\(310\) | −13.3957 | − | 3.58937i | −0.760826 | − | 0.203863i | ||||
\(311\) | 11.1988 | − | 19.3969i | 0.635026 | − | 1.09990i | −0.351484 | − | 0.936194i | \(-0.614323\pi\) |
0.986510 | − | 0.163703i | \(-0.0523438\pi\) | |||||||
\(312\) | 39.9631 | − | 7.63295i | 2.26246 | − | 0.432131i | ||||
\(313\) | −9.40316 | − | 16.2867i | −0.531498 | − | 0.920582i | −0.999324 | − | 0.0367610i | \(-0.988296\pi\) |
0.467826 | − | 0.883821i | \(-0.345037\pi\) | |||||||
\(314\) | 8.35497 | + | 31.1812i | 0.471498 | + | 1.75966i | ||||
\(315\) | −2.93592 | + | 10.2687i | −0.165421 | + | 0.578575i | ||||
\(316\) | 18.6869 | − | 10.7889i | 1.05122 | − | 0.606921i | ||||
\(317\) | 0.0851631 | + | 0.0228194i | 0.00478324 | + | 0.00128166i | 0.261210 | − | 0.965282i | \(-0.415879\pi\) |
−0.256427 | + | 0.966564i | \(0.582545\pi\) | |||||||
\(318\) | −2.92028 | + | 6.88713i | −0.163761 | + | 0.386211i | ||||
\(319\) | 5.89812 | − | 5.89812i | 0.330231 | − | 0.330231i | ||||
\(320\) | −3.80375 | + | 1.01921i | −0.212636 | + | 0.0569756i | ||||
\(321\) | −0.658540 | + | 4.69891i | −0.0367561 | + | 0.262268i | ||||
\(322\) | 1.47634i | 0.0822732i | ||||||||
\(323\) | −29.4445 | + | 7.88964i | −1.63834 | + | 0.438991i | ||||
\(324\) | −40.8939 | − | 1.36485i | −2.27188 | − | 0.0758250i | ||||
\(325\) | −24.8242 | − | 12.2198i | −1.37700 | − | 0.677832i | ||||
\(326\) | 7.67003 | − | 4.42829i | 0.424804 | − | 0.245260i | ||||
\(327\) | 10.2632 | − | 24.2045i | 0.567554 | − | 1.33851i | ||||
\(328\) | −16.4936 | − | 28.5677i | −0.910704 | − | 1.57739i | ||||
\(329\) | 11.2612 | 0.620850 | ||||||||
\(330\) | −73.4986 | + | 55.4297i | −4.04596 | + | 3.05130i | ||||
\(331\) | −0.182553 | + | 0.0489149i | −0.0100340 | + | 0.00268860i | −0.263833 | − | 0.964568i | \(-0.584987\pi\) |
0.253799 | + | 0.967257i | \(0.418320\pi\) | |||||||
\(332\) | −8.07458 | + | 30.1347i | −0.443150 | + | 1.65386i | ||||
\(333\) | −13.9361 | − | 8.35903i | −0.763695 | − | 0.458072i | ||||
\(334\) | −8.41683 | − | 14.5784i | −0.460549 | − | 0.797694i | ||||
\(335\) | −22.5590 | −1.23253 | ||||||||
\(336\) | 10.4770 | − | 7.90131i | 0.571566 | − | 0.431052i | ||||
\(337\) | −26.8484 | − | 15.5009i | −1.46252 | − | 0.844388i | −0.463396 | − | 0.886151i | \(-0.653369\pi\) |
−0.999128 | + | 0.0417633i | \(0.986702\pi\) | |||||||
\(338\) | −12.7727 | − | 30.7113i | −0.694745 | − | 1.67047i | ||||
\(339\) | 9.63475 | − | 3.89702i | 0.523288 | − | 0.211657i | ||||
\(340\) | −60.6579 | − | 60.6579i | −3.28964 | − | 3.28964i | ||||
\(341\) | 7.69380 | + | 4.44202i | 0.416643 | + | 0.240549i | ||||
\(342\) | −42.4453 | − | 12.1355i | −2.29518 | − | 0.656215i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 9.94028 | + | 37.0976i | 0.535944 | + | 2.00017i | ||||
\(345\) | 3.27569 | + | 1.38895i | 0.176357 | + | 0.0747788i | ||||
\(346\) | −4.34406 | − | 16.2122i | −0.233538 | − | 0.871575i | ||||
\(347\) | 0.590164i | 0.0316817i | 0.999875 | + | 0.0158408i | \(0.00504251\pi\) | ||||
−0.999875 | + | 0.0158408i | \(0.994957\pi\) | |||||||
\(348\) | 4.22080 | + | 10.4353i | 0.226259 | + | 0.559389i | ||||
\(349\) | 23.4503 | − | 23.4503i | 1.25527 | − | 1.25527i | 0.301938 | − | 0.953328i | \(-0.402366\pi\) |
0.953328 | − | 0.301938i | \(-0.0976336\pi\) | |||||||
\(350\) | −19.6344 | −1.04950 | ||||||||
\(351\) | 3.20739 | + | 18.4584i | 0.171198 | + | 0.985237i | ||||
\(352\) | 37.0789 | 1.97631 | ||||||||
\(353\) | −11.7548 | + | 11.7548i | −0.625645 | + | 0.625645i | −0.946969 | − | 0.321324i | \(-0.895872\pi\) |
0.321324 | + | 0.946969i | \(0.395872\pi\) | |||||||
\(354\) | 23.3145 | + | 57.6415i | 1.23915 | + | 3.06361i | ||||
\(355\) | − | 24.6908i | − | 1.31045i | ||||||
\(356\) | −4.73859 | − | 17.6847i | −0.251145 | − | 0.937285i | ||||
\(357\) | 8.45174 | + | 3.58370i | 0.447313 | + | 0.189670i | ||||
\(358\) | −4.40524 | − | 16.4406i | −0.232824 | − | 0.868911i | ||||
\(359\) | −10.1267 | − | 10.1267i | −0.534465 | − | 0.534465i | 0.387433 | − | 0.921898i | \(-0.373362\pi\) |
−0.921898 | + | 0.387433i | \(0.873362\pi\) | |||||||
\(360\) | −16.8850 | − | 67.5002i | −0.889919 | − | 3.55757i | ||||
\(361\) | −12.1923 | − | 7.03924i | −0.641702 | − | 0.370487i | ||||
\(362\) | 0.309291 | + | 0.309291i | 0.0162560 | + | 0.0162560i | ||||
\(363\) | 37.0068 | − | 14.9683i | 1.94235 | − | 0.785633i | ||||
\(364\) | −12.3318 | − | 10.7991i | −0.646365 | − | 0.566026i | ||||
\(365\) | −21.8372 | − | 12.6077i | −1.14301 | − | 0.659916i | ||||
\(366\) | 0.479141 | − | 0.361348i | 0.0250451 | − | 0.0188880i | ||||
\(367\) | 31.1443 | 1.62572 | 0.812859 | − | 0.582461i | \(-0.197910\pi\) | ||||
0.812859 | + | 0.582461i | \(0.197910\pi\) | |||||||
\(368\) | −2.18580 | − | 3.78592i | −0.113943 | − | 0.197355i | ||||
\(369\) | 13.2798 | − | 7.37452i | 0.691319 | − | 0.383902i | ||||
\(370\) | 12.7704 | − | 47.6597i | 0.663901 | − | 2.47771i | ||||
\(371\) | 1.63052 | − | 0.436897i | 0.0846524 | − | 0.0226825i | ||||
\(372\) | −9.57214 | + | 7.21892i | −0.496293 | + | 0.374284i | ||||
\(373\) | 18.8074 | 0.973809 | 0.486905 | − | 0.873455i | \(-0.338126\pi\) | ||||
0.486905 | + | 0.873455i | \(0.338126\pi\) | |||||||
\(374\) | 39.5638 | + | 68.5266i | 2.04580 | + | 3.54342i | ||||
\(375\) | −6.43657 | + | 15.1799i | −0.332383 | + | 0.783887i | ||||
\(376\) | −63.5363 | + | 36.6827i | −3.27664 | + | 1.89177i | ||||
\(377\) | 4.28347 | − | 2.86658i | 0.220610 | − | 0.147636i | ||||
\(378\) | 7.82690 | + | 10.7466i | 0.402572 | + | 0.552746i | ||||
\(379\) | 4.87324 | − | 1.30578i | 0.250321 | − | 0.0670734i | −0.131476 | − | 0.991319i | \(-0.541972\pi\) |
0.381798 | + | 0.924246i | \(0.375305\pi\) | |||||||
\(380\) | − | 93.0865i | − | 4.77524i | ||||||
\(381\) | −3.90805 | + | 27.8853i | −0.200215 | + | 1.42861i | ||||
\(382\) | −32.7905 | + | 8.78618i | −1.67771 | + | 0.449540i | ||||
\(383\) | 11.6399 | − | 11.6399i | 0.594773 | − | 0.594773i | −0.344144 | − | 0.938917i | \(-0.611831\pi\) |
0.938917 | + | 0.344144i | \(0.111831\pi\) | |||||||
\(384\) | 6.67967 | − | 15.7532i | 0.340870 | − | 0.803903i | ||||
\(385\) | 20.0651 | + | 5.37644i | 1.02261 | + | 0.274009i | ||||
\(386\) | 50.8011 | − | 29.3300i | 2.58571 | − | 1.49286i | ||||
\(387\) | −17.1568 | + | 4.29174i | −0.872130 | + | 0.218162i | ||||
\(388\) | −3.92315 | − | 14.6414i | −0.199168 | − | 0.743304i | ||||
\(389\) | 0.887366 | + | 1.53696i | 0.0449912 | + | 0.0779271i | 0.887644 | − | 0.460530i | \(-0.152341\pi\) |
−0.842653 | + | 0.538457i | \(0.819007\pi\) | |||||||
\(390\) | −51.2076 | + | 24.7693i | −2.59300 | + | 1.25424i | ||||
\(391\) | 1.52914 | − | 2.64854i | 0.0773318 | − | 0.133943i | ||||
\(392\) | −6.29290 | − | 1.68618i | −0.317839 | − | 0.0851648i | ||||
\(393\) | 4.18663 | − | 29.8731i | 0.211188 | − | 1.50690i | ||||
\(394\) | −12.6246 | − | 7.28880i | −0.636016 | − | 0.367204i | ||||
\(395\) | −11.9478 | + | 11.9478i | −0.601161 | + | 0.601161i | ||||
\(396\) | −1.32751 | + | 79.5721i | −0.0667097 | + | 3.99865i | ||||
\(397\) | 11.8838 | + | 3.18426i | 0.596431 | + | 0.159813i | 0.544391 | − | 0.838832i | \(-0.316761\pi\) |
0.0520402 | + | 0.998645i | \(0.483428\pi\) | |||||||
\(398\) | −8.09684 | + | 30.2178i | −0.405858 | + | 1.51468i | ||||
\(399\) | 3.73528 | + | 9.23489i | 0.186998 | + | 0.462323i | ||||
\(400\) | 50.3504 | − | 29.0698i | 2.51752 | − | 1.45349i | ||||
\(401\) | 4.80220 | − | 17.9221i | 0.239811 | − | 0.894985i | −0.736111 | − | 0.676861i | \(-0.763340\pi\) |
0.975921 | − | 0.218124i | \(-0.0699937\pi\) | |||||||
\(402\) | −17.2802 | + | 22.1353i | −0.861860 | + | 1.10401i | ||||
\(403\) | 4.12989 | + | 3.61657i | 0.205725 | + | 0.180154i | ||||
\(404\) | − | 29.8076i | − | 1.48298i | ||||||
\(405\) | 31.2081 | − | 7.25572i | 1.55074 | − | 0.360539i | ||||
\(406\) | 1.82875 | − | 3.16749i | 0.0907594 | − | 0.157200i | ||||
\(407\) | −15.8040 | + | 27.3733i | −0.783373 | + | 1.35684i | ||||
\(408\) | −59.3589 | + | 7.31161i | −2.93871 | + | 0.361979i | ||||
\(409\) | −19.2650 | − | 19.2650i | −0.952594 | − | 0.952594i | 0.0463323 | − | 0.998926i | \(-0.485247\pi\) |
−0.998926 | + | 0.0463323i | \(0.985247\pi\) | |||||||
\(410\) | 32.6119 | + | 32.6119i | 1.61059 | + | 1.61059i | ||||
\(411\) | 13.8671 | + | 18.3875i | 0.684015 | + | 0.906990i | ||||
\(412\) | −27.3524 | + | 47.3758i | −1.34756 | + | 2.33404i | ||||
\(413\) | 7.01534 | − | 12.1509i | 0.345202 | − | 0.597908i | ||||
\(414\) | 3.87205 | − | 2.15022i | 0.190301 | − | 0.105677i | ||||
\(415\) | − | 24.4299i | − | 1.19922i | ||||||
\(416\) | 22.4746 | + | 4.45371i | 1.10191 | + | 0.218361i | ||||
\(417\) | 6.00579 | + | 14.8484i | 0.294105 | + | 0.727127i | ||||
\(418\) | −22.2233 | + | 82.9386i | −1.08698 | + | 4.05666i | ||||
\(419\) | −24.8220 | + | 14.3310i | −1.21263 | + | 0.700114i | −0.963332 | − | 0.268312i | \(-0.913534\pi\) |
−0.249301 | + | 0.968426i | \(0.580201\pi\) | |||||||
\(420\) | −17.2505 | + | 22.0972i | −0.841739 | + | 1.07823i | ||||
\(421\) | −1.73832 | + | 6.48751i | −0.0847207 | + | 0.316182i | −0.995261 | − | 0.0972380i | \(-0.968999\pi\) |
0.910540 | + | 0.413420i | \(0.135666\pi\) | |||||||
\(422\) | −47.4970 | − | 12.7268i | −2.31212 | − | 0.619530i | ||||
\(423\) | −16.4014 | − | 29.5351i | −0.797463 | − | 1.43605i | ||||
\(424\) | −7.77633 | + | 7.77633i | −0.377652 | + | 0.377652i | ||||
\(425\) | 35.2240 | + | 20.3366i | 1.70861 | + | 0.986469i | ||||
\(426\) | −24.2271 | − | 18.9132i | −1.17380 | − | 0.916347i | ||||
\(427\) | −0.130805 | − | 0.0350492i | −0.00633012 | − | 0.00169615i | ||||
\(428\) | −6.22713 | + | 10.7857i | −0.301000 | + | 0.521347i | ||||
\(429\) | 35.7926 | − | 6.83640i | 1.72808 | − | 0.330064i | ||||
\(430\) | −26.8485 | − | 46.5029i | −1.29475 | − | 2.24257i | ||||
\(431\) | 1.58185 | + | 5.90353i | 0.0761948 | + | 0.284363i | 0.993502 | − | 0.113818i | \(-0.0363082\pi\) |
−0.917307 | + | 0.398181i | \(0.869641\pi\) | |||||||
\(432\) | −35.9823 | − | 15.9705i | −1.73120 | − | 0.768379i | ||||
\(433\) | 4.45385 | − | 2.57143i | 0.214038 | − | 0.123575i | −0.389148 | − | 0.921175i | \(-0.627231\pi\) |
0.603187 | + | 0.797600i | \(0.293897\pi\) | |||||||
\(434\) | 3.76279 | + | 1.00824i | 0.180620 | + | 0.0483969i | ||||
\(435\) | −5.30748 | − | 7.03762i | −0.254474 | − | 0.337428i | ||||
\(436\) | 48.7956 | − | 48.7956i | 2.33688 | − | 2.33688i | ||||
\(437\) | 3.20557 | − | 0.858929i | 0.153343 | − | 0.0410881i | ||||
\(438\) | −29.0982 | + | 11.7695i | −1.39036 | + | 0.562368i | ||||
\(439\) | − | 20.8753i | − | 0.996324i | −0.867084 | − | 0.498162i | \(-0.834008\pi\) | ||
0.867084 | − | 0.498162i | \(-0.165992\pi\) | |||||||
\(440\) | −130.722 | + | 35.0269i | −6.23193 | + | 1.66984i | ||||
\(441\) | 0.824686 | − | 2.88442i | 0.0392708 | − | 0.137353i | ||||
\(442\) | 15.7498 | + | 46.2881i | 0.749141 | + | 2.20170i | ||||
\(443\) | −24.2692 | + | 14.0118i | −1.15306 | + | 0.665721i | −0.949632 | − | 0.313368i | \(-0.898543\pi\) |
−0.203431 | + | 0.979089i | \(0.565209\pi\) | |||||||
\(444\) | −25.6837 | − | 34.0561i | −1.21889 | − | 1.61623i | ||||
\(445\) | 7.16838 | + | 12.4160i | 0.339814 | + | 0.588575i | ||||
\(446\) | −51.7035 | −2.44823 | ||||||||
\(447\) | −15.6590 | − | 6.63973i | −0.740646 | − | 0.314049i | ||||
\(448\) | 1.06845 | − | 0.286291i | 0.0504797 | − | 0.0135260i | ||||
\(449\) | −0.764553 | + | 2.85335i | −0.0360815 | + | 0.134658i | −0.981617 | − | 0.190861i | \(-0.938872\pi\) |
0.945536 | + | 0.325518i | \(0.105539\pi\) | |||||||
\(450\) | 28.5966 | + | 51.4958i | 1.34806 | + | 2.42754i | ||||
\(451\) | −14.7723 | − | 25.5864i | −0.695602 | − | 1.20482i | ||||
\(452\) | 27.2797 | 1.28313 | ||||||||
\(453\) | −1.00656 | − | 8.17172i | −0.0472924 | − | 0.383941i | ||||
\(454\) | 35.9500 | + | 20.7557i | 1.68722 | + | 0.974114i | ||||
\(455\) | 11.5163 | + | 5.66892i | 0.539892 | + | 0.265763i | ||||
\(456\) | −51.1568 | − | 39.9363i | −2.39564 | − | 1.87019i | ||||
\(457\) | 7.06224 | + | 7.06224i | 0.330358 | + | 0.330358i | 0.852722 | − | 0.522365i | \(-0.174950\pi\) |
−0.522365 | + | 0.852722i | \(0.674950\pi\) | |||||||
\(458\) | 25.6164 | + | 14.7896i | 1.19697 | + | 0.691074i | ||||
\(459\) | −2.91046 | − | 27.3862i | −0.135849 | − | 1.27828i | ||||
\(460\) | 6.60370 | + | 6.60370i | 0.307899 | + | 0.307899i | ||||
\(461\) | 3.79349 | + | 14.1575i | 0.176681 | + | 0.659381i | 0.996259 | + | 0.0864142i | \(0.0275409\pi\) |
−0.819579 | + | 0.572967i | \(0.805792\pi\) | |||||||
\(462\) | 20.6454 | − | 15.5699i | 0.960510 | − | 0.724378i | ||||
\(463\) | 1.58761 | + | 5.92505i | 0.0737826 | + | 0.275360i | 0.992955 | − | 0.118496i | \(-0.0378074\pi\) |
−0.919172 | + | 0.393856i | \(0.871141\pi\) | |||||||
\(464\) | 10.8303i | 0.502783i | ||||||||
\(465\) | 5.77714 | − | 7.40028i | 0.267908 | − | 0.343180i | ||||
\(466\) | −0.0750126 | + | 0.0750126i | −0.00347489 | + | 0.00347489i | ||||
\(467\) | 32.7499 | 1.51548 | 0.757742 | − | 0.652554i | \(-0.226302\pi\) | ||||
0.757742 | + | 0.652554i | \(0.226302\pi\) | |||||||
\(468\) | −10.3624 | + | 48.0715i | −0.479001 | + | 2.22211i | ||||
\(469\) | 6.33671 | 0.292602 | ||||||||
\(470\) | 72.5310 | − | 72.5310i | 3.34560 | − | 3.34560i | ||||
\(471\) | −21.6415 | − | 3.03300i | −0.997188 | − | 0.139753i | ||||
\(472\) | 91.4083i | 4.20741i | ||||||||
\(473\) | 8.90294 | + | 33.2262i | 0.409358 | + | 1.52774i | ||||
\(474\) | 2.57136 | + | 20.8755i | 0.118107 | + | 0.958843i | ||||
\(475\) | 11.4232 | + | 42.6320i | 0.524133 | + | 1.95609i | ||||
\(476\) | 17.0385 | + | 17.0385i | 0.780958 | + | 0.780958i | ||||
\(477\) | −3.52064 | − | 3.64011i | −0.161199 | − | 0.166669i | ||||
\(478\) | 56.8643 | + | 32.8306i | 2.60091 | + | 1.50164i | ||||
\(479\) | 1.56756 | + | 1.56756i | 0.0716236 | + | 0.0716236i | 0.742011 | − | 0.670388i | \(-0.233872\pi\) |
−0.670388 | + | 0.742011i | \(0.733872\pi\) | |||||||
\(480\) | 5.43830 | − | 38.8042i | 0.248223 | − | 1.77116i | ||||
\(481\) | −12.8672 | + | 14.6935i | −0.586692 | + | 0.669964i | ||||
\(482\) | 13.7164 | + | 7.91919i | 0.624766 | + | 0.360709i | ||||
\(483\) | −0.920123 | − | 0.390150i | −0.0418671 | − | 0.0177524i | ||||
\(484\) | 104.780 | 4.76275 | ||||||||
\(485\) | 5.93481 | + | 10.2794i | 0.269486 | + | 0.466763i | ||||
\(486\) | 16.7860 | − | 36.1798i | 0.761429 | − | 1.64115i | ||||
\(487\) | −1.05660 | + | 3.94328i | −0.0478791 | + | 0.178687i | −0.985725 | − | 0.168366i | \(-0.946151\pi\) |
0.937845 | + | 0.347053i | \(0.112818\pi\) | |||||||
\(488\) | 0.852183 | − | 0.228342i | 0.0385765 | − | 0.0103365i | ||||
\(489\) | 0.732970 | + | 5.95058i | 0.0331461 | + | 0.269094i | ||||
\(490\) | 9.10865 | 0.411487 | ||||||||
\(491\) | 19.4053 | + | 33.6110i | 0.875750 | + | 1.51684i | 0.855961 | + | 0.517040i | \(0.172966\pi\) |
0.0197887 | + | 0.999804i | \(0.493701\pi\) | |||||||
\(492\) | 39.5718 | − | 4.87431i | 1.78403 | − | 0.219751i | ||||
\(493\) | −6.56154 | + | 3.78830i | −0.295517 | + | 0.170617i | ||||
\(494\) | −23.4323 | + | 47.6022i | −1.05427 | + | 2.14172i | ||||
\(495\) | −15.1230 | − | 60.4561i | −0.679727 | − | 2.71730i | ||||
\(496\) | −11.1421 | + | 2.98550i | −0.500293 | + | 0.134053i | ||||
\(497\) | 6.93552i | 0.311101i | ||||||||
\(498\) | −23.9711 | − | 18.7133i | −1.07417 | − | 0.838565i | ||||
\(499\) | −4.44736 | + | 1.19167i | −0.199091 | + | 0.0533463i | −0.356986 | − | 0.934110i | \(-0.616196\pi\) |
0.157895 | + | 0.987456i | \(0.449529\pi\) | |||||||
\(500\) | −30.6023 | + | 30.6023i | −1.36858 | + | 1.36858i | ||||
\(501\) | 11.3102 | − | 1.39315i | 0.505304 | − | 0.0622415i | ||||
\(502\) | −10.2569 | − | 2.74832i | −0.457787 | − | 0.122664i | ||||
\(503\) | 30.9006 | − | 17.8405i | 1.37779 | − | 0.795466i | 0.385895 | − | 0.922543i | \(-0.373893\pi\) |
0.991893 | + | 0.127076i | \(0.0405593\pi\) | |||||||
\(504\) | 4.74292 | + | 18.9605i | 0.211266 | + | 0.844566i | ||||
\(505\) | 6.04117 | + | 22.5460i | 0.268829 | + | 1.00328i | ||||
\(506\) | −4.30723 | − | 7.46034i | −0.191480 | − | 0.331653i | ||||
\(507\) | 22.5161 | + | 0.155461i | 0.999976 | + | 0.00690427i | ||||
\(508\) | −36.9544 | + | 64.0069i | −1.63959 | + | 2.83985i | ||||
\(509\) | −23.5259 | − | 6.30376i | −1.04277 | − | 0.279409i | −0.303509 | − | 0.952829i | \(-0.598158\pi\) |
−0.739260 | + | 0.673420i | \(0.764825\pi\) | |||||||
\(510\) | 77.5177 | − | 31.3540i | 3.43254 | − | 1.38838i | ||||
\(511\) | 6.13394 | + | 3.54143i | 0.271350 | + | 0.156664i | ||||
\(512\) | 35.7605 | − | 35.7605i | 1.58041 | − | 1.58041i | ||||
\(513\) | 18.7804 | − | 23.2468i | 0.829175 | − | 1.02637i | ||||
\(514\) | 72.6655 | + | 19.4707i | 3.20514 | + | 0.858814i | ||||
\(515\) | 11.0872 | − | 41.3779i | 0.488559 | − | 1.82333i | ||||
\(516\) | −45.9716 | − | 6.44280i | −2.02379 | − | 0.283629i | ||||
\(517\) | −56.9059 | + | 32.8546i | −2.50272 | + | 1.44494i | ||||
\(518\) | −3.58714 | + | 13.3874i | −0.157610 | + | 0.588208i | ||||
\(519\) | 11.2522 | + | 1.57697i | 0.493918 | + | 0.0692212i | ||||
\(520\) | −83.4418 | + | 5.52925i | −3.65916 | + | 0.242474i | ||||
\(521\) | − | 32.4390i | − | 1.42118i | −0.703607 | − | 0.710589i | \(-0.748428\pi\) | ||
0.703607 | − | 0.710589i | \(-0.251572\pi\) | |||||||
\(522\) | −10.9710 | − | 0.183029i | −0.480187 | − | 0.00801098i | ||||
\(523\) | 3.58329 | − | 6.20644i | 0.156686 | − | 0.271389i | −0.776985 | − | 0.629519i | \(-0.783252\pi\) |
0.933672 | + | 0.358130i | \(0.116585\pi\) | |||||||
\(524\) | 39.5887 | − | 68.5696i | 1.72944 | − | 2.99548i | ||||
\(525\) | 5.18876 | − | 12.2371i | 0.226456 | − | 0.534069i | ||||
\(526\) | −32.1455 | − | 32.1455i | −1.40161 | − | 1.40161i | ||||
\(527\) | −5.70613 | − | 5.70613i | −0.248563 | − | 0.248563i | ||||
\(528\) | −29.8909 | + | 70.4941i | −1.30083 | + | 3.06786i | ||||
\(529\) | 11.3335 | − | 19.6302i | 0.492762 | − | 0.853489i | ||||
\(530\) | 7.68788 | − | 13.3158i | 0.333940 | − | 0.578401i | ||||
\(531\) | −42.0862 | − | 0.702126i | −1.82638 | − | 0.0304697i | ||||
\(532\) | 26.1475i | 1.13364i | ||||||||
\(533\) | −5.88066 | − | 17.2831i | −0.254720 | − | 0.748613i | ||||
\(534\) | 17.6738 | + | 2.47693i | 0.764820 | + | 0.107187i | ||||
\(535\) | 2.52413 | − | 9.42020i | 0.109128 | − | 0.407271i | ||||
\(536\) | −35.7521 | + | 20.6415i | −1.54426 | + | 0.891576i | ||||
\(537\) | 11.4107 | + | 1.59918i | 0.492408 | + | 0.0690096i | ||||
\(538\) | 10.2680 | − | 38.3208i | 0.442686 | − | 1.65213i | ||||
\(539\) | −5.63619 | − | 1.51021i | −0.242768 | − | 0.0650495i | ||||
\(540\) | 83.0798 | + | 13.0600i | 3.57518 | + | 0.562011i | ||||
\(541\) | −1.35558 | + | 1.35558i | −0.0582810 | + | 0.0582810i | −0.735647 | − | 0.677366i | \(-0.763122\pi\) |
0.677366 | + | 0.735647i | \(0.263122\pi\) | |||||||
\(542\) | −24.1628 | − | 13.9504i | −1.03788 | − | 0.599220i | ||||
\(543\) | −0.274501 | + | 0.111029i | −0.0117800 | + | 0.00476470i | ||||
\(544\) | −32.5325 | − | 8.71706i | −1.39482 | − | 0.373741i | ||||
\(545\) | −27.0187 | + | 46.7977i | −1.15735 | + | 2.00459i | ||||
\(546\) | 14.3839 | − | 6.95758i | 0.615576 | − | 0.297757i | ||||
\(547\) | 11.8148 | + | 20.4638i | 0.505163 | + | 0.874968i | 0.999982 | + | 0.00597230i | \(0.00190105\pi\) |
−0.494819 | + | 0.868996i | \(0.664766\pi\) | |||||||
\(548\) | 15.6457 | + | 58.3905i | 0.668350 | + | 2.49432i | ||||
\(549\) | 0.0985873 | + | 0.394116i | 0.00420760 | + | 0.0168205i | ||||
\(550\) | 99.2179 | − | 57.2835i | 4.23067 | − | 2.44258i | ||||
\(551\) | −7.94151 | − | 2.12792i | −0.338320 | − | 0.0906525i | ||||
\(552\) | 6.46228 | − | 0.796000i | 0.275053 | − | 0.0338800i | ||||
\(553\) | 3.35608 | − | 3.35608i | 0.142715 | − | 0.142715i | ||||
\(554\) | −0.132323 | + | 0.0354557i | −0.00562185 | + | 0.00150637i | ||||
\(555\) | 26.3290 | + | 20.5541i | 1.11760 | + | 0.872472i | ||||
\(556\) | 42.0414i | 1.78295i | ||||||||
\(557\) | 7.17956 | − | 1.92376i | 0.304208 | − | 0.0815122i | −0.103486 | − | 0.994631i | \(-0.533000\pi\) |
0.407694 | + | 0.913119i | \(0.366333\pi\) | |||||||
\(558\) | −2.83599 | − | 11.3373i | −0.120057 | − | 0.479944i | ||||
\(559\) | 1.40539 | + | 21.2088i | 0.0594419 | + | 0.897035i | ||||
\(560\) | −23.3582 | + | 13.4859i | −0.987065 | + | 0.569882i | ||||
\(561\) | −53.1644 | + | 6.54860i | −2.24460 | + | 0.276482i | ||||
\(562\) | 10.1470 | + | 17.5751i | 0.428025 | + | 0.741362i | ||||
\(563\) | −37.3447 | −1.57389 | −0.786946 | − | 0.617022i | \(-0.788339\pi\) | ||||
−0.786946 | + | 0.617022i | \(0.788339\pi\) | |||||||
\(564\) | −10.8408 | − | 88.0102i | −0.456479 | − | 3.70590i | ||||
\(565\) | −20.6339 | + | 5.52884i | −0.868076 | + | 0.232600i | ||||
\(566\) | −19.3455 | + | 72.1985i | −0.813154 | + | 3.03473i | ||||
\(567\) | −8.76620 | + | 2.03809i | −0.368146 | + | 0.0855919i | ||||
\(568\) | −22.5921 | − | 39.1306i | −0.947942 | − | 1.64188i | ||||
\(569\) | 35.7935 | 1.50054 | 0.750271 | − | 0.661131i | \(-0.229923\pi\) | ||||
0.750271 | + | 0.661131i | \(0.229923\pi\) | |||||||
\(570\) | 83.5381 | + | 35.4218i | 3.49903 | + | 1.48366i | ||||
\(571\) | 26.4589 | + | 15.2760i | 1.10727 | + | 0.639282i | 0.938121 | − | 0.346308i | \(-0.112565\pi\) |
0.169149 | + | 0.985591i | \(0.445898\pi\) | |||||||
\(572\) | 93.8226 | + | 18.5924i | 3.92292 | + | 0.777389i | ||||
\(573\) | 3.18954 | − | 22.7585i | 0.133245 | − | 0.950748i | ||||
\(574\) | −9.16052 | − | 9.16052i | −0.382353 | − | 0.382353i | ||||
\(575\) | −3.83476 | − | 2.21400i | −0.159921 | − | 0.0923302i | ||||
\(576\) | −2.30702 | − | 2.38530i | −0.0961258 | − | 0.0993875i | ||||
\(577\) | −6.54828 | − | 6.54828i | −0.272609 | − | 0.272609i | 0.557541 | − | 0.830149i | \(-0.311745\pi\) |
−0.830149 | + | 0.557541i | \(0.811745\pi\) | |||||||
\(578\) | −7.34495 | − | 27.4117i | −0.305509 | − | 1.14018i | ||||
\(579\) | 4.85470 | + | 39.4126i | 0.201755 | + | 1.63793i | ||||
\(580\) | −5.98821 | − | 22.3483i | −0.248647 | − | 0.927962i | ||||
\(581\) | 6.86224i | 0.284693i | ||||||||
\(582\) | 14.6324 | + | 2.05069i | 0.606532 | + | 0.0850038i | ||||
\(583\) | −6.96482 | + | 6.96482i | −0.288453 | + | 0.288453i | ||||
\(584\) | −46.1441 | −1.90946 | ||||||||
\(585\) | −1.90484 | − | 38.4607i | −0.0787555 | − | 1.59015i | ||||
\(586\) | −31.9576 | −1.32016 | ||||||||
\(587\) | −15.6096 | + | 15.6096i | −0.644278 | + | 0.644278i | −0.951604 | − | 0.307326i | \(-0.900566\pi\) |
0.307326 | + | 0.951604i | \(0.400566\pi\) | |||||||
\(588\) | 4.84558 | − | 6.20700i | 0.199828 | − | 0.255972i | ||||
\(589\) | − | 8.75672i | − | 0.360814i | ||||||
\(590\) | −33.0772 | − | 123.446i | −1.36177 | − | 5.08218i | ||||
\(591\) | 7.87900 | − | 5.94202i | 0.324099 | − | 0.244422i | ||||
\(592\) | −10.6219 | − | 39.6416i | −0.436558 | − | 1.62926i | ||||
\(593\) | 22.1026 | + | 22.1026i | 0.907646 | + | 0.907646i | 0.996082 | − | 0.0884359i | \(-0.0281869\pi\) |
−0.0884359 | + | 0.996082i | \(0.528187\pi\) | |||||||
\(594\) | −70.9048 | − | 31.4705i | −2.90926 | − | 1.29125i | ||||
\(595\) | −16.3409 | − | 9.43440i | −0.669910 | − | 0.386773i | ||||
\(596\) | −31.5682 | − | 31.5682i | −1.29308 | − | 1.29308i | ||||
\(597\) | −16.6934 | − | 13.0319i | −0.683216 | − | 0.533362i | ||||
\(598\) | −1.71465 | − | 5.03929i | −0.0701171 | − | 0.206072i | ||||
\(599\) | −27.2105 | − | 15.7100i | −1.11179 | − | 0.641892i | −0.172497 | − | 0.985010i | \(-0.555183\pi\) |
−0.939292 | + | 0.343118i | \(0.888517\pi\) | |||||||
\(600\) | 10.5863 | + | 85.9444i | 0.432184 | + | 3.50866i | ||||
\(601\) | 0.216645 | 0.00883715 | 0.00441857 | − | 0.999990i | \(-0.498594\pi\) | ||||
0.00441857 | + | 0.999990i | \(0.498594\pi\) | |||||||
\(602\) | 7.54159 | + | 13.0624i | 0.307372 | + | 0.532385i | ||||
\(603\) | −9.22912 | − | 16.6195i | −0.375839 | − | 0.676799i | ||||
\(604\) | 5.59341 | − | 20.8749i | 0.227593 | − | 0.849388i | ||||
\(605\) | −79.2542 | + | 21.2361i | −3.22214 | + | 0.863370i | ||||
\(606\) | 26.7501 | + | 11.3425i | 1.08665 | + | 0.460759i | ||||
\(607\) | 16.6316 | 0.675056 | 0.337528 | − | 0.941315i | \(-0.390409\pi\) | ||||
0.337528 | + | 0.941315i | \(0.390409\pi\) | |||||||
\(608\) | −18.2738 | − | 31.6511i | −0.741099 | − | 1.28362i | ||||
\(609\) | 1.49085 | + | 1.97683i | 0.0604121 | + | 0.0801052i | ||||
\(610\) | −1.06824 | + | 0.616746i | −0.0432516 | + | 0.0249713i | ||||
\(611\) | −38.4386 | + | 13.0790i | −1.55506 | + | 0.529118i | ||||
\(612\) | 19.8717 | − | 69.5032i | 0.803266 | − | 2.80950i | ||||
\(613\) | 35.6988 | − | 9.56547i | 1.44186 | − | 0.386346i | 0.548676 | − | 0.836035i | \(-0.315132\pi\) |
0.893185 | + | 0.449689i | \(0.148465\pi\) | |||||||
\(614\) | 56.7797i | 2.29144i | ||||||||
\(615\) | −28.9436 | + | 11.7070i | −1.16712 | + | 0.472070i | ||||
\(616\) | 36.7192 | − | 9.83887i | 1.47946 | − | 0.396420i | ||||
\(617\) | −9.30731 | + | 9.30731i | −0.374698 | + | 0.374698i | −0.869185 | − | 0.494487i | \(-0.835356\pi\) |
0.494487 | + | 0.869185i | \(0.335356\pi\) | |||||||
\(618\) | −32.1079 | − | 42.5744i | −1.29157 | − | 1.71259i | ||||
\(619\) | −8.74687 | − | 2.34372i | −0.351566 | − | 0.0942019i | 0.0787140 | − | 0.996897i | \(-0.474919\pi\) |
−0.430280 | + | 0.902695i | \(0.641585\pi\) | |||||||
\(620\) | 21.3409 | − | 12.3212i | 0.857072 | − | 0.494831i | ||||
\(621\) | 0.316856 | + | 2.98148i | 0.0127150 | + | 0.119643i | ||||
\(622\) | 14.8319 | + | 55.3532i | 0.594703 | + | 2.21946i | ||||
\(623\) | −2.01356 | − | 3.48759i | −0.0806716 | − | 0.139727i | ||||
\(624\) | −26.5851 | + | 39.1383i | −1.06426 | + | 1.56678i | ||||
\(625\) | −2.24006 | + | 3.87991i | −0.0896026 | + | 0.155196i | ||||
\(626\) | 46.4778 | + | 12.4537i | 1.85763 | + | 0.497749i | ||||
\(627\) | −45.8183 | − | 35.7687i | −1.82981 | − | 1.42846i | ||||
\(628\) | −49.6752 | − | 28.6800i | −1.98225 | − | 1.14446i | ||||
\(629\) | 20.3015 | − | 20.3015i | 0.809472 | − | 0.809472i | ||||
\(630\) | −13.2663 | − | 23.8896i | −0.528543 | − | 0.951784i | ||||
\(631\) | 0.882582 | + | 0.236487i | 0.0351350 | + | 0.00941440i | 0.276344 | − | 0.961059i | \(-0.410877\pi\) |
−0.241209 | + | 0.970473i | \(0.577544\pi\) | |||||||
\(632\) | −8.00297 | + | 29.8675i | −0.318341 | + | 1.18807i | ||||
\(633\) | 20.4839 | − | 26.2390i | 0.814161 | − | 1.04291i | ||||
\(634\) | −0.195360 | + | 0.112791i | −0.00775875 | + | 0.00447951i | ||||
\(635\) | 14.9793 | − | 55.9034i | 0.594434 | − | 2.21846i | ||||
\(636\) | −4.98415 | − | 12.3225i | −0.197634 | − | 0.488619i | ||||
\(637\) | −3.23487 | − | 1.59237i | −0.128170 | − | 0.0630921i | ||||
\(638\) | 21.3416i | 0.844921i | ||||||||
\(639\) | 18.1900 | − | 10.1013i | 0.719587 | − | 0.399600i | ||||
\(640\) | −17.5848 | + | 30.4578i | −0.695101 | + | 1.20395i | ||||
\(641\) | −3.87310 | + | 6.70841i | −0.152978 | + | 0.264966i | −0.932321 | − | 0.361632i | \(-0.882220\pi\) |
0.779343 | + | 0.626598i | \(0.215553\pi\) | |||||||
\(642\) | −7.30977 | − | 9.69261i | −0.288494 | − | 0.382537i | ||||
\(643\) | 9.48986 | + | 9.48986i | 0.374244 | + | 0.374244i | 0.869020 | − | 0.494777i | \(-0.164750\pi\) |
−0.494777 | + | 0.869020i | \(0.664750\pi\) | |||||||
\(644\) | −1.85495 | − | 1.85495i | −0.0730951 | − | 0.0730951i | ||||
\(645\) | 36.0780 | − | 4.44395i | 1.42057 | − | 0.174980i | ||||
\(646\) | 38.9968 | − | 67.5444i | 1.53431 | − | 2.65750i | ||||
\(647\) | 22.5755 | − | 39.1019i | 0.887535 | − | 1.53726i | 0.0447547 | − | 0.998998i | \(-0.485749\pi\) |
0.842780 | − | 0.538258i | \(-0.180917\pi\) | |||||||
\(648\) | 42.8204 | − | 40.0544i | 1.68215 | − | 1.57349i | ||||
\(649\) | 81.8692i | 3.21365i | ||||||||
\(650\) | 67.0195 | − | 22.8037i | 2.62872 | − | 0.894436i | ||||
\(651\) | −1.62277 | + | 2.07870i | −0.0636013 | + | 0.0814707i | ||||
\(652\) | −4.07308 | + | 15.2009i | −0.159514 | + | 0.595314i | ||||
\(653\) | 12.6650 | − | 7.31213i | 0.495619 | − | 0.286146i | −0.231284 | − | 0.972886i | \(-0.574293\pi\) |
0.726902 | + | 0.686741i | \(0.240959\pi\) | |||||||
\(654\) | 25.2224 | + | 62.3583i | 0.986273 | + | 2.43840i | ||||
\(655\) | −16.0471 | + | 59.8885i | −0.627011 | + | 2.34004i | ||||
\(656\) | 37.0539 | + | 9.92857i | 1.44671 | + | 0.387645i | ||||
\(657\) | 0.354442 | − | 21.2457i | 0.0138281 | − | 0.828872i | ||||
\(658\) | −20.3736 | + | 20.3736i | −0.794245 | + | 0.794245i | ||||
\(659\) | −20.8963 | − | 12.0645i | −0.814004 | − | 0.469966i | 0.0343402 | − | 0.999410i | \(-0.489067\pi\) |
−0.848345 | + | 0.529445i | \(0.822400\pi\) | |||||||
\(660\) | 22.7027 | − | 161.992i | 0.883702 | − | 6.30552i | ||||
\(661\) | 8.54468 | + | 2.28954i | 0.332350 | + | 0.0890528i | 0.421135 | − | 0.906998i | \(-0.361632\pi\) |
−0.0887854 | + | 0.996051i | \(0.528299\pi\) | |||||||
\(662\) | 0.241776 | − | 0.418768i | 0.00939688 | − | 0.0162759i | ||||
\(663\) | −33.0111 | − | 2.41650i | −1.28205 | − | 0.0938492i | ||||
\(664\) | −22.3534 | − | 38.7171i | −0.867478 | − | 1.50252i | ||||
\(665\) | −5.29938 | − | 19.7776i | −0.205501 | − | 0.766941i | ||||
\(666\) | 40.3360 | − | 10.0900i | 1.56299 | − | 0.390979i | ||||
\(667\) | 0.714341 | − | 0.412425i | 0.0276594 | − | 0.0159692i | ||||
\(668\) | 28.8923 | + | 7.74167i | 1.11788 | + | 0.299534i | ||||
\(669\) | 13.6636 | − | 32.2240i | 0.528266 | − | 1.24585i | ||||
\(670\) | 40.8134 | − | 40.8134i | 1.57676 | − | 1.57676i | ||||
\(671\) | 0.763252 | − | 0.204513i | 0.0294650 | − | 0.00789513i | ||||
\(672\) | −1.52759 | + | 10.8999i | −0.0589281 | + | 0.420473i | ||||
\(673\) | 21.2048i | 0.817385i | 0.912672 | + | 0.408693i | \(0.134015\pi\) | ||||
−0.912672 | + | 0.408693i | \(0.865985\pi\) | |||||||
\(674\) | 76.6176 | − | 20.5296i | 2.95120 | − | 0.790772i | ||||
\(675\) | −39.6518 | + | 4.21399i | −1.52620 | + | 0.162196i | ||||
\(676\) | 54.6354 | + | 22.5389i | 2.10136 | + | 0.866879i | ||||
\(677\) | −4.50168 | + | 2.59905i | −0.173014 | + | 0.0998895i | −0.584006 | − | 0.811749i | \(-0.698516\pi\) |
0.410992 | + | 0.911639i | \(0.365182\pi\) | |||||||
\(678\) | −10.3806 | + | 24.4815i | −0.398665 | + | 0.940205i | ||||
\(679\) | −1.66706 | − | 2.88743i | −0.0639758 | − | 0.110809i | ||||
\(680\) | 122.928 | 4.71408 | ||||||||
\(681\) | −22.4364 | + | 16.9206i | −0.859764 | + | 0.648399i | ||||
\(682\) | −21.9559 | + | 5.88308i | −0.840737 | + | 0.225275i | ||||
\(683\) | −1.67783 | + | 6.26174i | −0.0642004 | + | 0.239599i | −0.990568 | − | 0.137021i | \(-0.956247\pi\) |
0.926368 | + | 0.376620i | \(0.122914\pi\) | |||||||
\(684\) | 68.5781 | − | 38.0827i | 2.62215 | − | 1.45613i | ||||
\(685\) | −23.6683 | − | 40.9947i | −0.904318 | − | 1.56633i | ||||
\(686\) | −2.55857 | −0.0976868 | ||||||||
\(687\) | −15.9872 | + | 12.0569i | −0.609949 | + | 0.459999i | ||||
\(688\) | −38.6793 | − | 22.3315i | −1.47464 | − | 0.851381i | ||||
\(689\) | −5.05815 | + | 3.38501i | −0.192700 | + | 0.128959i | ||||
\(690\) | −8.43919 | + | 3.41344i | −0.321275 | + | 0.129948i | ||||
\(691\) | 29.0972 | + | 29.0972i | 1.10691 | + | 1.10691i | 0.993554 | + | 0.113355i | \(0.0361599\pi\) |
0.113355 | + | 0.993554i | \(0.463840\pi\) | |||||||
\(692\) | 25.8279 | + | 14.9118i | 0.981831 | + | 0.566860i | ||||
\(693\) | 4.24796 | + | 16.9818i | 0.161367 | + | 0.645085i | ||||
\(694\) | −1.06772 | − | 1.06772i | −0.0405299 | − | 0.0405299i | ||||
\(695\) | −8.52064 | − | 31.7995i | −0.323206 | − | 1.20622i | ||||
\(696\) | −14.8509 | − | 6.29705i | −0.562920 | − | 0.238689i | ||||
\(697\) | 6.94579 | + | 25.9220i | 0.263091 | + | 0.981868i | ||||
\(698\) | 84.8518i | 3.21169i | ||||||||
\(699\) | −0.0269279 | − | 0.0665748i | −0.00101851 | − | 0.00251809i | ||||
\(700\) | 24.6696 | − | 24.6696i | 0.932424 | − | 0.932424i | ||||
\(701\) | −12.9825 | −0.490341 | −0.245170 | − | 0.969480i | \(-0.578844\pi\) | ||||
−0.245170 | + | 0.969480i | \(0.578844\pi\) | |||||||
\(702\) | −39.1974 | − | 27.5919i | −1.47941 | − | 1.04139i | ||||
\(703\) | 31.1549 | 1.17503 | ||||||||
\(704\) | −4.56393 | + | 4.56393i | −0.172010 | + | 0.172010i | ||||
\(705\) | 26.0370 | + | 64.3723i | 0.980611 | + | 2.42440i | ||||
\(706\) | − | 42.5332i | − | 1.60076i | ||||||
\(707\) | −1.69693 | − | 6.33305i | −0.0638198 | − | 0.238179i | ||||
\(708\) | −101.717 | − | 43.1301i | −3.82276 | − | 1.62093i | ||||
\(709\) | −3.61096 | − | 13.4763i | −0.135613 | − | 0.506113i | −0.999995 | − | 0.00327734i | \(-0.998957\pi\) |
0.864382 | − | 0.502836i | \(-0.167710\pi\) | |||||||
\(710\) | 44.6702 | + | 44.6702i | 1.67644 | + | 1.67644i | ||||
\(711\) | −13.6901 | − | 3.91414i | −0.513419 | − | 0.146792i | ||||
\(712\) | 22.7213 | + | 13.1181i | 0.851516 | + | 0.491623i | ||||
\(713\) | 0.621215 | + | 0.621215i | 0.0232647 | + | 0.0232647i | ||||
\(714\) | −21.7743 | + | 8.80718i | −0.814884 | + | 0.329600i | ||||
\(715\) | −74.7341 | + | 4.95224i | −2.79490 | + | 0.185203i | ||||
\(716\) | 26.1917 | + | 15.1218i | 0.978830 | + | 0.565128i | ||||
\(717\) | −35.4890 | + | 26.7644i | −1.32536 | + | 0.999534i | ||||
\(718\) | 36.6420 | 1.36747 | ||||||||
\(719\) | −18.4836 | − | 32.0145i | −0.689322 | − | 1.19394i | −0.972057 | − | 0.234743i | \(-0.924575\pi\) |
0.282735 | − | 0.959198i | \(-0.408758\pi\) | |||||||
\(720\) | 69.3901 | + | 41.6209i | 2.58602 | + | 1.55112i | ||||
\(721\) | −3.11433 | + | 11.6228i | −0.115984 | + | 0.432857i | ||||
\(722\) | 34.7935 | − | 9.32288i | 1.29488 | − | 0.346962i | ||||
\(723\) | −8.56043 | + | 6.45593i | −0.318366 | + | 0.240099i | ||||
\(724\) | −0.777217 | −0.0288851 | ||||||||
\(725\) | 5.48499 | + | 9.50029i | 0.203708 | + | 0.352832i | ||||
\(726\) | −39.8716 | + | 94.0325i | −1.47977 | + | 3.48987i | ||||
\(727\) | 1.99169 | − | 1.14990i | 0.0738676 | − | 0.0426475i | −0.462611 | − | 0.886561i | \(-0.653087\pi\) |
0.536479 | + | 0.843914i | \(0.319754\pi\) | |||||||
\(728\) | 23.4384 | − | 1.55314i | 0.868684 | − | 0.0575631i | ||||
\(729\) | 18.1129 | + | 20.0230i | 0.670849 | + | 0.741594i | ||||
\(730\) | 62.3171 | − | 16.6978i | 2.30646 | − | 0.618014i | ||||
\(731\) | − | 31.2452i | − | 1.15565i | ||||||
\(732\) | −0.148000 | + | 1.05603i | −0.00547024 | + | 0.0390321i | ||||
\(733\) | 15.5667 | − | 4.17108i | 0.574968 | − | 0.154062i | 0.0403941 | − | 0.999184i | \(-0.487139\pi\) |
0.534574 | + | 0.845122i | \(0.320472\pi\) | |||||||
\(734\) | −56.3457 | + | 56.3457i | −2.07976 | + | 2.07976i | ||||
\(735\) | −2.40713 | + | 5.67694i | −0.0887884 | + | 0.209397i | ||||
\(736\) | 3.54174 | + | 0.949008i | 0.130550 | + | 0.0349809i | ||||
\(737\) | −32.0211 | + | 18.4874i | −1.17951 | + | 0.680992i | ||||
\(738\) | −10.6838 | + | 37.3675i | −0.393274 | + | 1.37552i | ||||
\(739\) | −6.14628 | − | 22.9382i | −0.226094 | − | 0.843796i | −0.981963 | − | 0.189073i | \(-0.939452\pi\) |
0.755869 | − | 0.654723i | \(-0.227215\pi\) | |||||||
\(740\) | 43.8367 | + | 75.9274i | 1.61147 | + | 2.79115i | ||||
\(741\) | −23.4755 | − | 27.1839i | −0.862393 | − | 0.998625i | ||||
\(742\) | −2.15949 | + | 3.74034i | −0.0792772 | + | 0.137312i | ||||
\(743\) | 11.5154 | + | 3.08554i | 0.422459 | + | 0.113197i | 0.463784 | − | 0.885948i | \(-0.346491\pi\) |
−0.0413253 | + | 0.999146i | \(0.513158\pi\) | |||||||
\(744\) | 2.38450 | − | 17.0142i | 0.0874200 | − | 0.623772i | ||||
\(745\) | 30.2757 | + | 17.4797i | 1.10921 | + | 0.640405i | ||||
\(746\) | −34.0260 | + | 34.0260i | −1.24578 | + | 1.24578i | ||||
\(747\) | 17.9978 | − | 9.99453i | 0.658506 | − | 0.365681i | ||||
\(748\) | −135.810 | − | 36.3902i | −4.96571 | − | 1.33056i | ||||
\(749\) | −0.709017 | + | 2.64609i | −0.0259069 | + | 0.0966859i | ||||
\(750\) | −15.8183 | − | 39.1082i | −0.577603 | − | 1.42803i | ||||
\(751\) | −42.7605 | + | 24.6878i | −1.56035 | + | 0.900870i | −0.563132 | + | 0.826367i | \(0.690404\pi\) |
−0.997221 | + | 0.0745028i | \(0.976263\pi\) | |||||||
\(752\) | 22.0818 | − | 82.4102i | 0.805239 | − | 3.00519i | ||||
\(753\) | 4.42346 | − | 5.66627i | 0.161200 | − | 0.206490i | ||||
\(754\) | −2.56343 | + | 12.9358i | −0.0933545 | + | 0.471093i | ||||
\(755\) | 16.9231i | 0.615893i | ||||||||
\(756\) | −23.3367 | − | 3.66848i | −0.848747 | − | 0.133421i | ||||
\(757\) | −18.6610 | + | 32.3217i | −0.678244 | + | 1.17475i | 0.297265 | + | 0.954795i | \(0.403926\pi\) |
−0.975509 | + | 0.219959i | \(0.929408\pi\) | |||||||
\(758\) | −6.45419 | + | 11.1790i | −0.234427 | + | 0.406039i | ||||
\(759\) | 5.78790 | − | 0.712932i | 0.210087 | − | 0.0258778i | ||||
\(760\) | 94.3238 | + | 94.3238i | 3.42148 | + | 3.42148i | ||||
\(761\) | 20.3355 | + | 20.3355i | 0.737160 | + | 0.737160i | 0.972027 | − | 0.234867i | \(-0.0754656\pi\) |
−0.234867 | + | 0.972027i | \(0.575466\pi\) | |||||||
\(762\) | −43.3793 | − | 57.5200i | −1.57147 | − | 2.08373i | ||||
\(763\) | 7.58940 | − | 13.1452i | 0.274755 | − | 0.475889i | ||||
\(764\) | 30.1602 | − | 52.2389i | 1.09116 | − | 1.88994i | ||||
\(765\) | −0.944237 | + | 56.5985i | −0.0341389 | + | 2.04632i | ||||
\(766\) | 42.1176i | 1.52177i | ||||||||
\(767\) | −9.83365 | + | 49.6233i | −0.355073 | + | 1.79180i | ||||
\(768\) | 17.8525 | + | 44.1375i | 0.644197 | + | 1.59267i | ||||
\(769\) | 0.256301 | − | 0.956529i | 0.00924245 | − | 0.0344933i | −0.961151 | − | 0.276024i | \(-0.910983\pi\) |
0.970393 | + | 0.241531i | \(0.0776496\pi\) | |||||||
\(770\) | −46.0285 | + | 26.5746i | −1.65875 | + | 0.957681i | ||||
\(771\) | −31.3382 | + | 40.1430i | −1.12862 | + | 1.44572i | ||||
\(772\) | −26.9773 | + | 100.681i | −0.970935 | + | 3.62358i | ||||
\(773\) | 7.24847 | + | 1.94222i | 0.260709 | + | 0.0698568i | 0.386806 | − | 0.922161i | \(-0.373578\pi\) |
−0.126097 | + | 0.992018i | \(0.540245\pi\) | |||||||
\(774\) | 23.2753 | − | 38.8044i | 0.836614 | − | 1.39480i | ||||
\(775\) | −8.26177 | + | 8.26177i | −0.296771 | + | 0.296771i | ||||
\(776\) | 18.8113 | + | 10.8607i | 0.675285 | + | 0.389876i | ||||
\(777\) | −7.39567 | − | 5.77353i | −0.265318 | − | 0.207124i | ||||
\(778\) | −4.38606 | − | 1.17524i | −0.157248 | − | 0.0421344i | ||||
\(779\) | −14.5606 | + | 25.2197i | −0.521689 | + | 0.903591i | ||||
\(780\) | 33.2183 | − | 95.4611i | 1.18941 | − | 3.41806i | ||||
\(781\) | −20.2344 | − | 35.0471i | −0.724045 | − | 1.25408i | ||||
\(782\) | 2.02521 | + | 7.55820i | 0.0724215 | + | 0.270281i | ||||
\(783\) | 3.01336 | − | 6.78925i | 0.107689 | − | 0.242628i | ||||
\(784\) | 6.56121 | − | 3.78811i | 0.234329 | − | 0.135290i | ||||
\(785\) | 43.3861 | + | 11.6253i | 1.54852 | + | 0.414924i | ||||
\(786\) | 46.4715 | + | 61.6203i | 1.65758 | + | 2.19792i | ||||
\(787\) | 35.3765 | − | 35.3765i | 1.26104 | − | 1.26104i | 0.310447 | − | 0.950591i | \(-0.399521\pi\) |
0.950591 | − | 0.310447i | \(-0.100479\pi\) | |||||||
\(788\) | 25.0201 | − | 6.70412i | 0.891305 | − | 0.238825i | ||||
\(789\) | 28.5296 | − | 11.5395i | 1.01568 | − | 0.410818i | ||||
\(790\) | − | 43.2317i | − | 1.53811i | ||||||
\(791\) | 5.79596 | − | 1.55302i | 0.206081 | − | 0.0552192i | ||||
\(792\) | −79.2845 | − | 81.9748i | −2.81725 | − | 2.91285i | ||||
\(793\) | 0.487195 | − | 0.0322838i | 0.0173008 | − | 0.00114643i | ||||
\(794\) | −27.2609 | + | 15.7391i | −0.967453 | + | 0.558559i | ||||
\(795\) | 6.26736 | + | 8.31039i | 0.222280 | + | 0.294739i | ||||
\(796\) | −27.7939 | − | 48.1404i | −0.985128 | − | 1.70629i | ||||
\(797\) | 14.4239 | 0.510921 | 0.255461 | − | 0.966819i | \(-0.417773\pi\) | ||||
0.255461 | + | 0.966819i | \(0.417773\pi\) | |||||||
\(798\) | −23.4654 | − | 9.94980i | −0.830667 | − | 0.352219i | ||||
\(799\) | 57.6523 | − | 15.4479i | 2.03959 | − | 0.546507i | ||||
\(800\) | −12.6212 | + | 47.1030i | −0.446227 | + | 1.66534i | ||||
\(801\) | −6.21437 | + | 10.3606i | −0.219574 | + | 0.366072i | ||||
\(802\) | 23.7362 | + | 41.1124i | 0.838156 | + | 1.45173i | ||||
\(803\) | −41.3287 | −1.45846 | ||||||||
\(804\) | −6.10014 | − | 49.5236i | −0.215135 | − | 1.74656i | ||||
\(805\) | 1.77900 | + | 1.02710i | 0.0627014 | + | 0.0362007i | ||||
\(806\) | −14.0148 | + | 0.928687i | −0.493650 | + | 0.0327116i | ||||
\(807\) | 21.1698 | + | 16.5265i | 0.745213 | + | 0.581761i | ||||
\(808\) | 30.2038 | + | 30.2038i | 1.06256 | + | 1.06256i | ||||
\(809\) | −12.3635 | − | 7.13807i | −0.434678 | − | 0.250961i | 0.266660 | − | 0.963791i | \(-0.414080\pi\) |
−0.701337 | + | 0.712829i | \(0.747413\pi\) | |||||||
\(810\) | −43.3343 | + | 69.5881i | −1.52261 | + | 2.44508i | ||||
\(811\) | −12.4231 | − | 12.4231i | −0.436233 | − | 0.436233i | 0.454509 | − | 0.890742i | \(-0.349815\pi\) |
−0.890742 | + | 0.454509i | \(0.849815\pi\) | |||||||
\(812\) | 1.68206 | + | 6.27752i | 0.0590286 | + | 0.220298i | ||||
\(813\) | 15.0800 | − | 11.3727i | 0.528878 | − | 0.398858i | ||||
\(814\) | −20.9310 | − | 78.1156i | −0.733631 | − | 2.73795i | ||||
\(815\) | − | 12.3232i | − | 0.431664i | ||||||
\(816\) | 42.7986 | − | 54.8233i | 1.49825 | − | 1.91920i | ||||
\(817\) | 23.9747 | − | 23.9747i | 0.838768 | − | 0.838768i | ||||
\(818\) | 69.7079 | 2.43728 | ||||||||
\(819\) | 0.535060 | + | 10.8034i | 0.0186965 | + | 0.377502i | ||||
\(820\) | −81.9504 | −2.86183 | ||||||||
\(821\) | 23.8672 | − | 23.8672i | 0.832970 | − | 0.832970i | −0.154952 | − | 0.987922i | \(-0.549522\pi\) |
0.987922 | + | 0.154952i | \(0.0495223\pi\) | |||||||
\(822\) | −58.3546 | − | 8.17824i | −2.03535 | − | 0.285249i | ||||
\(823\) | − | 24.7742i | − | 0.863574i | −0.901976 | − | 0.431787i | \(-0.857883\pi\) | ||
0.901976 | − | 0.431787i | \(-0.142117\pi\) | |||||||
\(824\) | −20.2895 | − | 75.7214i | −0.706818 | − | 2.63788i | ||||
\(825\) | 9.48155 | + | 76.9755i | 0.330105 | + | 2.67994i | ||||
\(826\) | 9.29122 | + | 34.6753i | 0.323283 | + | 1.20651i | ||||
\(827\) | −7.92552 | − | 7.92552i | −0.275597 | − | 0.275597i | 0.555751 | − | 0.831349i | \(-0.312431\pi\) |
−0.831349 | + | 0.555751i | \(0.812431\pi\) | |||||||
\(828\) | −2.16339 | + | 7.56667i | −0.0751830 | + | 0.262960i | ||||
\(829\) | −15.8354 | − | 9.14258i | −0.549987 | − | 0.317535i | 0.199130 | − | 0.979973i | \(-0.436188\pi\) |
−0.749117 | + | 0.662438i | \(0.769522\pi\) | |||||||
\(830\) | 44.1982 | + | 44.1982i | 1.53414 | + | 1.53414i | ||||
\(831\) | 0.0128711 | − | 0.0918395i | 0.000446492 | − | 0.00318588i | ||||
\(832\) | −3.31452 | + | 2.21814i | −0.114910 | + | 0.0769001i | ||||
\(833\) | 4.59007 | + | 2.65008i | 0.159036 | + | 0.0918197i | ||||
\(834\) | −37.7290 | − | 15.9978i | −1.30645 | − | 0.553960i | ||||
\(835\) | −23.4227 | −0.810576 | ||||||||
\(836\) | −76.2856 | − | 132.131i | −2.63839 | − | 4.56983i | ||||
\(837\) | 7.81537 | + | 1.22856i | 0.270139 | + | 0.0424652i | ||||
\(838\) | 18.9802 | − | 70.8349i | 0.655659 | − | 2.44695i | ||||
\(839\) | −0.643782 | + | 0.172501i | −0.0222258 | + | 0.00595540i | −0.269915 | − | 0.962884i | \(-0.586996\pi\) |
0.247689 | + | 0.968840i | \(0.420329\pi\) | |||||||
\(840\) | −4.91113 | − | 39.8707i | −0.169450 | − | 1.37567i | ||||
\(841\) | 26.9565 | 0.929535 | ||||||||
\(842\) | −8.59216 | − | 14.8821i | −0.296105 | − | 0.512870i | ||||
\(843\) | −13.6352 | + | 1.67953i | −0.469620 | + | 0.0578461i | ||||
\(844\) | 75.6681 | − | 43.6870i | 2.60460 | − | 1.50377i | ||||
\(845\) | −45.8934 | − | 5.97492i | −1.57878 | − | 0.205544i | ||||
\(846\) | 83.1077 | + | 23.7613i | 2.85730 | + | 0.816932i | ||||
\(847\) | 22.2621 | − | 5.96511i | 0.764935 | − | 0.204964i | ||||
\(848\) | − | 12.7890i | − | 0.439175i | ||||||
\(849\) | −39.8851 | − | 31.1368i | −1.36885 | − | 1.06861i | ||||
\(850\) | −100.519 | + | 26.9341i | −3.44778 | + | 0.923831i | ||||
\(851\) | −2.21018 | + | 2.21018i | −0.0757639 | + | 0.0757639i | ||||
\(852\) | 54.2035 | − | 6.67659i | 1.85698 | − | 0.228736i | ||||
\(853\) | −32.6966 | − | 8.76103i | −1.11951 | − | 0.299972i | −0.348825 | − | 0.937188i | \(-0.613419\pi\) |
−0.770685 | + | 0.637216i | \(0.780086\pi\) | |||||||
\(854\) | 0.300062 | − | 0.173241i | 0.0102679 | − | 0.00592818i | ||||
\(855\) | −44.1530 | + | 42.7040i | −1.51000 | + | 1.46045i | ||||
\(856\) | −4.61916 | − | 17.2390i | −0.157880 | − | 0.589215i | ||||
\(857\) | −19.0905 | − | 33.0657i | −0.652118 | − | 1.12950i | −0.982608 | − | 0.185693i | \(-0.940547\pi\) |
0.330489 | − | 0.943810i | \(-0.392786\pi\) | |||||||
\(858\) | −52.3872 | + | 77.1238i | −1.78847 | + | 2.63296i | ||||
\(859\) | −12.2775 | + | 21.2653i | −0.418905 | + | 0.725564i | −0.995830 | − | 0.0912331i | \(-0.970919\pi\) |
0.576925 | + | 0.816797i | \(0.304252\pi\) | |||||||
\(860\) | 92.1623 | + | 24.6948i | 3.14271 | + | 0.842086i | ||||
\(861\) | 8.13010 | − | 3.28842i | 0.277073 | − | 0.112069i | ||||
\(862\) | −13.5424 | − | 7.81872i | −0.461257 | − | 0.266307i | ||||
\(863\) | 1.64194 | − | 1.64194i | 0.0558923 | − | 0.0558923i | −0.678608 | − | 0.734500i | \(-0.737417\pi\) |
0.734500 | + | 0.678608i | \(0.237417\pi\) | |||||||
\(864\) | 30.8124 | − | 11.8687i | 1.04826 | − | 0.403782i | ||||
\(865\) | −22.5580 | − | 6.04441i | −0.766996 | − | 0.205516i | ||||
\(866\) | −3.40564 | + | 12.7100i | −0.115728 | + | 0.431904i | ||||
\(867\) | 19.0253 | + | 2.66634i | 0.646133 | + | 0.0905538i | ||||
\(868\) | −5.99456 | + | 3.46096i | −0.203468 | + | 0.117473i | ||||
\(869\) | −7.16781 | + | 26.7506i | −0.243151 | + | 0.907452i | ||||
\(870\) | 22.3346 | + | 3.13013i | 0.757213 | + | 0.106121i | ||||
\(871\) | −21.6295 | + | 7.35957i | −0.732889 | + | 0.249370i | ||||
\(872\) | 98.8882i | 3.34878i | ||||||||
\(873\) | −5.14497 | + | 8.57765i | −0.174131 | + | 0.290310i | ||||
\(874\) | −4.24550 | + | 7.35342i | −0.143606 | + | 0.248733i | ||||
\(875\) | −4.75972 | + | 8.24407i | −0.160908 | + | 0.278701i | ||||
\(876\) | 21.7726 | − | 51.3482i | 0.735629 | − | 1.73489i | ||||
\(877\) | −1.63760 | − | 1.63760i | −0.0552977 | − | 0.0552977i | 0.678917 | − | 0.734215i | \(-0.262450\pi\) |
−0.734215 | + | 0.678917i | \(0.762450\pi\) | |||||||
\(878\) | 37.7673 | + | 37.7673i | 1.27458 | + | 1.27458i | ||||
\(879\) | 8.44539 | − | 19.9175i | 0.284856 | − | 0.671799i | ||||
\(880\) | 78.6903 | − | 136.296i | 2.65265 | − | 4.59453i | ||||
\(881\) | 12.2108 | − | 21.1497i | 0.411392 | − | 0.712552i | −0.583650 | − | 0.812005i | \(-0.698376\pi\) |
0.995042 | + | 0.0994533i | \(0.0317094\pi\) | |||||||
\(882\) | 3.72644 | + | 6.71046i | 0.125476 | + | 0.225953i | ||||
\(883\) | − | 37.7896i | − | 1.27172i | −0.771804 | − | 0.635860i | \(-0.780645\pi\) | ||
0.771804 | − | 0.635860i | \(-0.219355\pi\) | |||||||
\(884\) | −77.9475 | − | 38.3699i | −2.62166 | − | 1.29052i | ||||
\(885\) | 85.6785 | + | 12.0076i | 2.88005 | + | 0.403631i | ||||
\(886\) | 18.5574 | − | 69.2573i | 0.623450 | − | 2.32675i | ||||
\(887\) | 21.7623 | − | 12.5645i | 0.730707 | − | 0.421874i | −0.0879737 | − | 0.996123i | \(-0.528039\pi\) |
0.818681 | + | 0.574249i | \(0.194706\pi\) | |||||||
\(888\) | 60.5338 | + | 8.48365i | 2.03138 | + | 0.284693i | ||||
\(889\) | −4.20760 | + | 15.7030i | −0.141118 | + | 0.526661i | ||||
\(890\) | −35.4318 | − | 9.49391i | −1.18768 | − | 0.318237i | ||||
\(891\) | 38.3518 | − | 35.8745i | 1.28483 | − | 1.20184i | ||||
\(892\) | 64.9628 | − | 64.9628i | 2.17512 | − | 2.17512i | ||||
\(893\) | 56.0903 | + | 32.3838i | 1.87699 | + | 1.08368i | ||||
\(894\) | 40.3426 | − | 16.3176i | 1.34926 | − | 0.545741i | ||||
\(895\) | −22.8757 | − | 6.12953i | −0.764651 | − | 0.204888i | ||||
\(896\) | 4.93948 | − | 8.55543i | 0.165017 | − | 0.285817i | ||||
\(897\) | 3.59385 | + | 0.263080i | 0.119995 | + | 0.00878397i | ||||
\(898\) | −3.77902 | − | 6.54545i | −0.126108 | − | 0.218425i | ||||
\(899\) | −0.563315 | − | 2.10232i | −0.0187876 | − | 0.0701163i | ||||
\(900\) | −100.632 | − | 28.7717i | −3.35440 | − | 0.959058i | ||||
\(901\) | 7.74821 | − | 4.47343i | 0.258130 | − | 0.149032i | ||||
\(902\) | 73.0165 | + | 19.5647i | 2.43118 | + | 0.651434i | ||||
\(903\) | −10.1341 | + | 1.24828i | −0.337242 | + | 0.0415403i | ||||
\(904\) | −27.6423 | + | 27.6423i | −0.919369 | + | 0.919369i | ||||
\(905\) | 0.587874 | − | 0.157520i | 0.0195416 | − | 0.00523616i | ||||
\(906\) | 16.6052 | + | 12.9631i | 0.551671 | + | 0.430670i | ||||
\(907\) | 44.2360i | 1.46883i | 0.678699 | + | 0.734416i | \(0.262544\pi\) | ||||
−0.678699 | + | 0.734416i | \(0.737456\pi\) | |||||||
\(908\) | −71.2478 | + | 19.0908i | −2.36444 | + | 0.633550i | ||||
\(909\) | −14.1384 | + | 13.6744i | −0.468941 | + | 0.453551i | ||||
\(910\) | −31.0912 | + | 10.5790i | −1.03066 | + | 0.350689i | ||||
\(911\) | 51.3981 | − | 29.6747i | 1.70290 | − | 0.983167i | 0.760093 | − | 0.649815i | \(-0.225153\pi\) |
0.942802 | − | 0.333352i | \(-0.108180\pi\) | |||||||
\(912\) | 74.9060 | − | 9.22664i | 2.48039 | − | 0.305525i | ||||
\(913\) | −20.0206 | − | 34.6767i | −0.662586 | − | 1.14763i | ||||
\(914\) | −25.5538 | −0.845244 | ||||||||
\(915\) | −0.102084 | − | 0.828761i | −0.00337478 | − | 0.0273980i | ||||
\(916\) | −50.7681 | + | 13.6033i | −1.67743 | + | 0.449465i | ||||
\(917\) | 4.50754 | − | 16.8224i | 0.148852 | − | 0.555523i | ||||
\(918\) | 54.8122 | + | 44.2811i | 1.80907 | + | 1.46149i | ||||
\(919\) | 5.34419 | + | 9.25641i | 0.176289 | + | 0.305341i | 0.940606 | − | 0.339499i | \(-0.110257\pi\) |
−0.764318 | + | 0.644840i | \(0.776924\pi\) | |||||||
\(920\) | −13.3829 | −0.441222 | ||||||||
\(921\) | −35.3878 | − | 15.0051i | −1.16607 | − | 0.494435i | ||||
\(922\) | −32.4767 | − | 18.7504i | −1.06956 | − | 0.617512i | ||||
\(923\) | −8.05504 | − | 23.6735i | −0.265135 | − | 0.779223i | ||||
\(924\) | −6.37708 | + | 45.5027i | −0.209790 | + | 1.49693i | ||||
\(925\) | −29.3940 | − | 29.3940i | −0.966468 | − | 0.966468i | ||||
\(926\) | −13.5918 | − | 7.84722i | −0.446654 | − | 0.257876i | ||||
\(927\) | 35.0195 | − | 8.76005i | 1.15019 | − | 0.287718i | ||||
\(928\) | −6.42328 | − | 6.42328i | −0.210855 | − | 0.210855i | ||||
\(929\) | −3.02984 | − | 11.3075i | −0.0994059 | − | 0.370988i | 0.898245 | − | 0.439496i | \(-0.144843\pi\) |
−0.997651 | + | 0.0685079i | \(0.978176\pi\) | |||||||
\(930\) | 2.93657 | + | 23.8404i | 0.0962939 | + | 0.781757i | ||||
\(931\) | 1.48857 | + | 5.55542i | 0.0487859 | + | 0.182071i | ||||
\(932\) | − | 0.188499i | − | 0.00617449i | ||||||
\(933\) | −38.4183 | − | 5.38422i | −1.25776 | − | 0.176272i | ||||
\(934\) | −59.2506 | + | 59.2506i | −1.93874 | + | 1.93874i | ||||
\(935\) | 110.100 | 3.60065 | ||||||||
\(936\) | −38.2104 | − | 59.2106i | −1.24894 | − | 1.93536i | ||||
\(937\) | 35.3126 | 1.15361 | 0.576806 | − | 0.816881i | \(-0.304299\pi\) | ||||
0.576806 | + | 0.816881i | \(0.304299\pi\) | |||||||
\(938\) | −11.4643 | + | 11.4643i | −0.374322 | + | 0.374322i | ||||
\(939\) | −20.0443 | + | 25.6760i | −0.654122 | + | 0.837905i | ||||
\(940\) | 182.263i | 5.94476i | ||||||||
\(941\) | −10.2820 | − | 38.3730i | −0.335184 | − | 1.25092i | −0.903669 | − | 0.428231i | \(-0.859137\pi\) |
0.568485 | − | 0.822694i | \(-0.307530\pi\) | |||||||
\(942\) | 44.6408 | − | 33.6662i | 1.45447 | − | 1.09691i | ||||
\(943\) | −0.756174 | − | 2.82208i | −0.0246244 | − | 0.0918995i | ||||
\(944\) | −75.1652 | − | 75.1652i | −2.44642 | − | 2.44642i | ||||
\(945\) | 18.3950 | − | 1.95492i | 0.598389 | − | 0.0635937i | ||||
\(946\) | −76.2195 | − | 44.0053i | −2.47811 | − | 1.43074i | ||||
\(947\) | −7.75042 | − | 7.75042i | −0.251855 | − | 0.251855i | 0.569876 | − | 0.821731i | \(-0.306991\pi\) |
−0.821731 | + | 0.569876i | \(0.806991\pi\) | |||||||
\(948\) | −29.4598 | − | 22.9982i | −0.956809 | − | 0.746947i | ||||
\(949\) | −25.0505 | − | 4.96416i | −0.813174 | − | 0.161143i | ||||
\(950\) | −97.7960 | − | 56.4625i | −3.17292 | − | 1.83189i | ||||
\(951\) | −0.0186692 | − | 0.151565i | −0.000605390 | − | 0.00491483i | ||||
\(952\) | −34.5299 | −1.11912 | ||||||||
\(953\) | −23.7016 | − | 41.0523i | −0.767770 | − | 1.32982i | −0.938770 | − | 0.344545i | \(-0.888033\pi\) |
0.171000 | − | 0.985271i | \(-0.445300\pi\) | |||||||
\(954\) | 12.9551 | + | 0.216131i | 0.419437 | + | 0.00699749i | ||||
\(955\) | −12.2253 | + | 45.6253i | −0.395600 | + | 1.47640i | ||||
\(956\) | −112.697 | + | 30.1971i | −3.64489 | + | 0.976644i | ||||
\(957\) | −13.3011 | − | 5.63991i | −0.429962 | − | 0.182312i | ||||
\(958\) | −5.67201 | −0.183254 | ||||||||
\(959\) | 6.64830 | + | 11.5152i | 0.214685 | + | 0.371845i | ||||
\(960\) | 4.10690 | + | 5.44566i | 0.132550 | + | 0.175758i | ||||
\(961\) | −24.8392 | + | 14.3409i | −0.801266 | + | 0.462611i | ||||
\(962\) | −3.30411 | − | 49.8623i | −0.106529 | − | 1.60762i | ||||
\(963\) | 7.97263 | − | 1.99434i | 0.256915 | − | 0.0642666i | ||||
\(964\) | −27.1841 | + | 7.28395i | −0.875540 | + | 0.234600i | ||||
\(965\) | − | 81.6208i | − | 2.62747i | ||||||
\(966\) | 2.37053 | − | 0.958819i | 0.0762704 | − | 0.0308495i | ||||
\(967\) | 52.8835 | − | 14.1701i | 1.70062 | − | 0.455679i | 0.727523 | − | 0.686083i | \(-0.240671\pi\) |
0.973095 | + | 0.230404i | \(0.0740047\pi\) | |||||||
\(968\) | −106.173 | + | 106.173i | −3.41253 | + | 3.41253i | ||||
\(969\) | 31.7912 | + | 42.1545i | 1.02128 | + | 1.35420i | ||||
\(970\) | −29.3345 | − | 7.86015i | −0.941873 | − | 0.252374i | ||||
\(971\) | 22.8562 | − | 13.1960i | 0.733491 | − | 0.423481i | −0.0862068 | − | 0.996277i | \(-0.527475\pi\) |
0.819698 | + | 0.572796i | \(0.194141\pi\) | |||||||
\(972\) | 24.3673 | + | 66.5489i | 0.781583 | + | 2.13456i | ||||
\(973\) | 2.39340 | + | 8.93230i | 0.0767290 | + | 0.286357i | ||||
\(974\) | −5.22254 | − | 9.04571i | −0.167341 | − | 0.289843i | ||||
\(975\) | −3.49880 | + | 47.7960i | −0.112051 | + | 1.53070i | ||||
\(976\) | −0.512986 | + | 0.888517i | −0.0164203 | + | 0.0284407i | ||||
\(977\) | 23.3249 | + | 6.24988i | 0.746229 | + | 0.199951i | 0.611845 | − | 0.790978i | \(-0.290428\pi\) |
0.134384 | + | 0.990929i | \(0.457094\pi\) | |||||||
\(978\) | −12.0918 | − | 9.43962i | −0.386652 | − | 0.301846i | ||||
\(979\) | 20.3501 | + | 11.7492i | 0.650394 | + | 0.375505i | ||||
\(980\) | −11.4446 | + | 11.4446i | −0.365583 | + | 0.365583i | ||||
\(981\) | −45.5301 | − | 0.759581i | −1.45366 | − | 0.0242515i | ||||
\(982\) | −95.9163 | − | 25.7007i | −3.06081 | − | 0.820143i | ||||
\(983\) | 6.55500 | − | 24.4636i | 0.209072 | − | 0.780267i | −0.779098 | − | 0.626902i | \(-0.784322\pi\) |
0.988170 | − | 0.153364i | \(-0.0490109\pi\) | |||||||
\(984\) | −35.1587 | + | 45.0368i | −1.12082 | + | 1.43572i | ||||
\(985\) | −17.5661 | + | 10.1418i | −0.559702 | + | 0.323144i | ||||
\(986\) | 5.01729 | − | 18.7248i | 0.159783 | − | 0.596318i | ||||
\(987\) | −7.31366 | − | 18.0819i | −0.232796 | − | 0.575552i | ||||
\(988\) | −30.3682 | − | 89.2513i | −0.966142 | − | 2.83946i | ||||
\(989\) | 3.40160i | 0.108165i | ||||||||
\(990\) | 136.736 | + | 82.0160i | 4.34577 | + | 2.60664i | ||||
\(991\) | −5.73120 | + | 9.92673i | −0.182058 | + | 0.315333i | −0.942581 | − | 0.333977i | \(-0.891609\pi\) |
0.760523 | + | 0.649310i | \(0.224942\pi\) | |||||||
\(992\) | 4.83753 | − | 8.37885i | 0.153592 | − | 0.266029i | ||||
\(993\) | 0.197102 | + | 0.261353i | 0.00625484 | + | 0.00829379i | ||||
\(994\) | −12.5476 | − | 12.5476i | −0.397987 | − | 0.397987i | ||||
\(995\) | 30.7796 | + | 30.7796i | 0.975778 | + | 0.975778i | ||||
\(996\) | 53.6308 | − | 6.60604i | 1.69936 | − | 0.209320i | ||||
\(997\) | 19.3406 | − | 33.4989i | 0.612524 | − | 1.06092i | −0.378290 | − | 0.925687i | \(-0.623488\pi\) |
0.990814 | − | 0.135235i | \(-0.0431790\pi\) | |||||||
\(998\) | 5.89015 | − | 10.2020i | 0.186449 | − | 0.322940i | ||||
\(999\) | −4.37101 | + | 27.8058i | −0.138293 | + | 0.879736i |
(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 | 819.2.ew.a.176.6 | ✓ | 336 | |
9.2 | odd | 6 | 819.2.fy.a.722.6 | yes | 336 | ||
13.2 | odd | 12 | 819.2.fy.a.743.6 | yes | 336 | ||
117.2 | even | 12 | inner | 819.2.ew.a.470.6 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.6 | ✓ | 336 | 1.1 | even | 1 | trivial | |
819.2.ew.a.470.6 | yes | 336 | 117.2 | even | 12 | inner | |
819.2.fy.a.722.6 | yes | 336 | 9.2 | odd | 6 | ||
819.2.fy.a.743.6 | yes | 336 | 13.2 | odd | 12 |