Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(43,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 13, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.bd (of order \(16\), degree \(8\), 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: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 43.16 | ||
Character | \(\chi\) | \(=\) | 320.43 |
Dual form | 320.2.bd.a.67.16 |
$q$-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 \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{13}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.759115 | + | 1.19321i | −0.536776 | + | 0.843725i | ||||
\(3\) | 0.0705545 | + | 0.0471430i | 0.0407347 | + | 0.0272180i | 0.575771 | − | 0.817611i | \(-0.304702\pi\) |
−0.535036 | + | 0.844829i | \(0.679702\pi\) | |||||||
\(4\) | −0.847488 | − | 1.81156i | −0.423744 | − | 0.905782i | ||||
\(5\) | 2.23184 | + | 0.137441i | 0.998109 | + | 0.0614653i | ||||
\(6\) | −0.109810 | + | 0.0483992i | −0.0448299 | + | 0.0197589i | ||||
\(7\) | −1.17225 | − | 2.83007i | −0.443070 | − | 1.06967i | −0.974866 | − | 0.222793i | \(-0.928483\pi\) |
0.531796 | − | 0.846872i | \(-0.321517\pi\) | |||||||
\(8\) | 2.80491 | + | 0.363957i | 0.991686 | + | 0.128678i | ||||
\(9\) | −1.14529 | − | 2.76499i | −0.381765 | − | 0.921662i | ||||
\(10\) | −1.85822 | + | 2.55872i | −0.587620 | + | 0.809137i | ||||
\(11\) | −0.181641 | + | 0.913170i | −0.0547668 | + | 0.275331i | −0.998459 | − | 0.0554934i | \(-0.982327\pi\) |
0.943692 | + | 0.330824i | \(0.107327\pi\) | |||||||
\(12\) | 0.0256085 | − | 0.167767i | 0.00739254 | − | 0.0484302i | ||||
\(13\) | −0.909046 | − | 4.57008i | −0.252124 | − | 1.26751i | −0.874589 | − | 0.484865i | \(-0.838869\pi\) |
0.622465 | − | 0.782648i | \(-0.286131\pi\) | |||||||
\(14\) | 4.26673 | + | 0.749607i | 1.14033 | + | 0.200341i | ||||
\(15\) | 0.150987 | + | 0.114913i | 0.0389847 | + | 0.0296703i | ||||
\(16\) | −2.56353 | + | 3.07056i | −0.640882 | + | 0.767639i | ||||
\(17\) | − | 6.66506i | − | 1.61652i | −0.588829 | − | 0.808258i | \(-0.700411\pi\) | ||
0.588829 | − | 0.808258i | \(-0.299589\pi\) | |||||||
\(18\) | 4.16861 | + | 0.732369i | 0.982552 | + | 0.172621i | ||||
\(19\) | −2.23711 | + | 3.34807i | −0.513228 | + | 0.768100i | −0.994074 | − | 0.108705i | \(-0.965330\pi\) |
0.480846 | + | 0.876805i | \(0.340330\pi\) | |||||||
\(20\) | −1.64248 | − | 4.15960i | −0.367269 | − | 0.930115i | ||||
\(21\) | 0.0507103 | − | 0.254938i | 0.0110659 | − | 0.0556320i | ||||
\(22\) | −0.951715 | − | 0.909936i | −0.202906 | − | 0.193999i | ||||
\(23\) | 7.09889 | + | 2.94045i | 1.48022 | + | 0.613127i | 0.969163 | − | 0.246420i | \(-0.0792542\pi\) |
0.511057 | + | 0.859547i | \(0.329254\pi\) | |||||||
\(24\) | 0.180741 | + | 0.157911i | 0.0368937 | + | 0.0322334i | ||||
\(25\) | 4.96222 | + | 0.613490i | 0.992444 | + | 0.122698i | ||||
\(26\) | 6.14313 | + | 2.38454i | 1.20477 | + | 0.467647i | ||||
\(27\) | 0.0992074 | − | 0.498749i | 0.0190925 | − | 0.0959843i | ||||
\(28\) | −4.13338 | + | 4.52206i | −0.781135 | + | 0.854589i | ||||
\(29\) | 0.632918 | + | 3.18189i | 0.117530 | + | 0.590862i | 0.993998 | + | 0.109402i | \(0.0348935\pi\) |
−0.876468 | + | 0.481461i | \(0.840106\pi\) | |||||||
\(30\) | −0.251731 | + | 0.0929269i | −0.0459596 | + | 0.0169660i | ||||
\(31\) | −2.51883 | −0.452395 | −0.226197 | − | 0.974082i | \(-0.572629\pi\) | ||||
−0.226197 | + | 0.974082i | \(0.572629\pi\) | |||||||
\(32\) | −1.71780 | − | 5.38973i | −0.303667 | − | 0.952778i | ||||
\(33\) | −0.0558652 | + | 0.0558652i | −0.00972488 | + | 0.00972488i | ||||
\(34\) | 7.95280 | + | 5.05955i | 1.36389 | + | 0.867706i | ||||
\(35\) | −2.22731 | − | 6.47737i | −0.376485 | − | 1.09488i | ||||
\(36\) | −4.03833 | + | 4.41807i | −0.673054 | + | 0.736345i | ||||
\(37\) | 7.84249 | + | 1.55997i | 1.28930 | + | 0.256457i | 0.791678 | − | 0.610938i | \(-0.209208\pi\) |
0.497620 | + | 0.867395i | \(0.334208\pi\) | |||||||
\(38\) | −2.29672 | − | 5.21091i | −0.372577 | − | 0.845321i | ||||
\(39\) | 0.151310 | − | 0.365295i | 0.0242290 | − | 0.0584941i | ||||
\(40\) | 6.21009 | + | 1.19780i | 0.981902 | + | 0.189389i | ||||
\(41\) | 1.62845 | + | 3.93143i | 0.254321 | + | 0.613986i | 0.998544 | − | 0.0539460i | \(-0.0171799\pi\) |
−0.744223 | + | 0.667932i | \(0.767180\pi\) | |||||||
\(42\) | 0.265699 | + | 0.254035i | 0.0409982 | + | 0.0391984i | ||||
\(43\) | 1.04836 | + | 1.56898i | 0.159873 | + | 0.239267i | 0.902754 | − | 0.430156i | \(-0.141542\pi\) |
−0.742882 | + | 0.669423i | \(0.766542\pi\) | |||||||
\(44\) | 1.80820 | − | 0.444847i | 0.272597 | − | 0.0670632i | ||||
\(45\) | −2.17609 | − | 6.32842i | −0.324393 | − | 0.943385i | ||||
\(46\) | −8.89744 | + | 6.23830i | −1.31186 | + | 0.919787i | ||||
\(47\) | −10.1308 | −1.47773 | −0.738863 | − | 0.673856i | \(-0.764637\pi\) | ||||
−0.738863 | + | 0.673856i | \(0.764637\pi\) | |||||||
\(48\) | −0.325624 | + | 0.0957893i | −0.0469998 | + | 0.0138260i | ||||
\(49\) | −1.68536 | + | 1.68536i | −0.240766 | + | 0.240766i | ||||
\(50\) | −4.49892 | + | 5.45525i | −0.636243 | + | 0.771489i | ||||
\(51\) | 0.314211 | − | 0.470251i | 0.0439984 | − | 0.0658482i | ||||
\(52\) | −7.50859 | + | 5.51989i | −1.04125 | + | 0.765470i | ||||
\(53\) | 1.89310 | + | 2.83322i | 0.260037 | + | 0.389173i | 0.938398 | − | 0.345555i | \(-0.112309\pi\) |
−0.678361 | + | 0.734729i | \(0.737309\pi\) | |||||||
\(54\) | 0.519801 | + | 0.496983i | 0.0707360 | + | 0.0676308i | ||||
\(55\) | −0.530900 | + | 2.01308i | −0.0715865 | + | 0.271444i | ||||
\(56\) | −2.25804 | − | 8.36474i | −0.301744 | − | 1.11779i | ||||
\(57\) | −0.315676 | + | 0.130757i | −0.0418124 | + | 0.0173192i | ||||
\(58\) | −4.27711 | − | 1.66022i | −0.561613 | − | 0.217998i | ||||
\(59\) | 7.27048 | − | 4.85798i | 0.946536 | − | 0.632455i | 0.0164767 | − | 0.999864i | \(-0.494755\pi\) |
0.930059 | + | 0.367409i | \(0.119755\pi\) | |||||||
\(60\) | 0.0802121 | − | 0.370910i | 0.0103553 | − | 0.0478843i | ||||
\(61\) | 0.654517 | + | 3.29048i | 0.0838023 | + | 0.421302i | 0.999798 | + | 0.0201137i | \(0.00640283\pi\) |
−0.915995 | + | 0.401189i | \(0.868597\pi\) | |||||||
\(62\) | 1.91208 | − | 3.00548i | 0.242834 | − | 0.381697i | ||||
\(63\) | −6.48252 | + | 6.48252i | −0.816721 | + | 0.816721i | ||||
\(64\) | 7.73507 | + | 2.04173i | 0.966884 | + | 0.255217i | ||||
\(65\) | −1.40073 | − | 10.3246i | −0.173739 | − | 1.28061i | ||||
\(66\) | −0.0242506 | − | 0.109067i | −0.00298505 | − | 0.0134252i | ||||
\(67\) | 1.10618 | − | 1.65552i | 0.135141 | − | 0.202253i | −0.757726 | − | 0.652573i | \(-0.773690\pi\) |
0.892868 | + | 0.450319i | \(0.148690\pi\) | |||||||
\(68\) | −12.0742 | + | 5.64856i | −1.46421 | + | 0.684989i | ||||
\(69\) | 0.362237 | + | 0.542125i | 0.0436082 | + | 0.0652642i | ||||
\(70\) | 9.41964 | + | 2.25943i | 1.12586 | + | 0.270053i | ||||
\(71\) | −2.19150 | + | 5.29075i | −0.260083 | + | 0.627896i | −0.998943 | − | 0.0459627i | \(-0.985364\pi\) |
0.738860 | + | 0.673859i | \(0.235364\pi\) | |||||||
\(72\) | −2.20612 | − | 8.17238i | −0.259993 | − | 0.963125i | ||||
\(73\) | −11.0130 | − | 4.56175i | −1.28898 | − | 0.533913i | −0.370298 | − | 0.928913i | \(-0.620745\pi\) |
−0.918681 | + | 0.395000i | \(0.870745\pi\) | |||||||
\(74\) | −7.81472 | + | 8.17353i | −0.908443 | + | 0.950153i | ||||
\(75\) | 0.321185 | + | 0.277219i | 0.0370873 | + | 0.0320105i | ||||
\(76\) | 7.96117 | + | 1.21522i | 0.913208 | + | 0.139395i | ||||
\(77\) | 2.79726 | − | 0.556410i | 0.318778 | − | 0.0634088i | ||||
\(78\) | 0.321011 | + | 0.457846i | 0.0363474 | + | 0.0518408i | ||||
\(79\) | −3.14584 | − | 3.14584i | −0.353935 | − | 0.353935i | 0.507637 | − | 0.861571i | \(-0.330519\pi\) |
−0.861571 | + | 0.507637i | \(0.830519\pi\) | |||||||
\(80\) | −6.14340 | + | 6.50066i | −0.686853 | + | 0.726796i | ||||
\(81\) | −6.31817 | + | 6.31817i | −0.702019 | + | 0.702019i | ||||
\(82\) | −5.92719 | − | 1.04133i | −0.654548 | − | 0.114995i | ||||
\(83\) | −2.81326 | − | 14.1432i | −0.308795 | − | 1.55242i | −0.753930 | − | 0.656955i | \(-0.771844\pi\) |
0.445135 | − | 0.895464i | \(-0.353156\pi\) | |||||||
\(84\) | −0.504812 | + | 0.124192i | −0.0550795 | + | 0.0135504i | ||||
\(85\) | 0.916050 | − | 14.8754i | 0.0993596 | − | 1.61346i | ||||
\(86\) | −2.66794 | + | 0.0598728i | −0.287691 | + | 0.00645625i | ||||
\(87\) | −0.105349 | + | 0.254335i | −0.0112946 | + | 0.0272675i | ||||
\(88\) | −0.841841 | + | 2.49525i | −0.0897405 | + | 0.265995i | ||||
\(89\) | −7.06986 | − | 2.92843i | −0.749404 | − | 0.310413i | −0.0249055 | − | 0.999690i | \(-0.507928\pi\) |
−0.724498 | + | 0.689277i | \(0.757928\pi\) | |||||||
\(90\) | 9.20302 | + | 2.20747i | 0.970084 | + | 0.232687i | ||||
\(91\) | −11.8680 | + | 7.92995i | −1.24411 | + | 0.831285i | ||||
\(92\) | −0.689399 | − | 15.3521i | −0.0718748 | − | 1.60057i | ||||
\(93\) | −0.177715 | − | 0.118745i | −0.0184282 | − | 0.0123133i | ||||
\(94\) | 7.69043 | − | 12.0881i | 0.793207 | − | 1.24679i | ||||
\(95\) | −5.45303 | + | 7.16489i | −0.559469 | + | 0.735102i | ||||
\(96\) | 0.132890 | − | 0.461252i | 0.0135630 | − | 0.0470763i | ||||
\(97\) | 4.77934 | + | 4.77934i | 0.485269 | + | 0.485269i | 0.906809 | − | 0.421541i | \(-0.138511\pi\) |
−0.421541 | + | 0.906809i | \(0.638511\pi\) | |||||||
\(98\) | −0.731602 | − | 3.29037i | −0.0739030 | − | 0.332378i | ||||
\(99\) | 2.73293 | − | 0.543614i | 0.274670 | − | 0.0546353i | ||||
\(100\) | −3.09405 | − | 9.50931i | −0.309405 | − | 0.950931i | ||||
\(101\) | 5.67871 | + | 8.49879i | 0.565053 | + | 0.845662i | 0.998457 | − | 0.0555383i | \(-0.0176875\pi\) |
−0.433404 | + | 0.901200i | \(0.642687\pi\) | |||||||
\(102\) | 0.322584 | + | 0.731894i | 0.0319406 | + | 0.0724683i | ||||
\(103\) | 7.19768 | + | 17.3767i | 0.709209 | + | 1.71218i | 0.701969 | + | 0.712207i | \(0.252304\pi\) |
0.00723960 | + | 0.999974i | \(0.497696\pi\) | |||||||
\(104\) | −0.886482 | − | 13.1495i | −0.0869267 | − | 1.28942i | ||||
\(105\) | 0.148216 | − | 0.562010i | 0.0144644 | − | 0.0548466i | ||||
\(106\) | −4.81770 | + | 0.108117i | −0.467937 | + | 0.0105013i | ||||
\(107\) | −3.83064 | + | 2.55955i | −0.370322 | + | 0.247441i | −0.726780 | − | 0.686870i | \(-0.758984\pi\) |
0.356458 | + | 0.934311i | \(0.383984\pi\) | |||||||
\(108\) | −0.987593 | + | 0.242963i | −0.0950312 | + | 0.0233792i | ||||
\(109\) | 3.18059 | + | 2.12520i | 0.304645 | + | 0.203557i | 0.698490 | − | 0.715619i | \(-0.253855\pi\) |
−0.393845 | + | 0.919177i | \(0.628855\pi\) | |||||||
\(110\) | −1.99901 | − | 2.16164i | −0.190598 | − | 0.206104i | ||||
\(111\) | 0.479782 | + | 0.479782i | 0.0455389 | + | 0.0455389i | ||||
\(112\) | 11.6950 | + | 3.65549i | 1.10507 | + | 0.345411i | ||||
\(113\) | − | 14.9815i | − | 1.40934i | −0.709534 | − | 0.704671i | \(-0.751095\pi\) | ||
0.709534 | − | 0.704671i | \(-0.248905\pi\) | |||||||
\(114\) | 0.0836140 | − | 0.475927i | 0.00783117 | − | 0.0445747i | ||||
\(115\) | 15.4394 | + | 7.53830i | 1.43974 | + | 0.702950i | ||||
\(116\) | 5.22781 | − | 3.84319i | 0.485390 | − | 0.356831i | ||||
\(117\) | −11.5951 | + | 7.74759i | −1.07197 | + | 0.716265i | ||||
\(118\) | 0.277445 | + | 12.3630i | 0.0255409 | + | 1.13810i | ||||
\(119\) | −18.8626 | + | 7.81314i | −1.72913 | + | 0.716229i | ||||
\(120\) | 0.381682 | + | 0.377273i | 0.0348427 | + | 0.0344402i | ||||
\(121\) | 9.36179 | + | 3.87778i | 0.851072 | + | 0.352525i | ||||
\(122\) | −4.42308 | − | 1.71688i | −0.400446 | − | 0.155439i | ||||
\(123\) | −0.0704448 | + | 0.354150i | −0.00635180 | + | 0.0319326i | ||||
\(124\) | 2.13468 | + | 4.56302i | 0.191700 | + | 0.409771i | ||||
\(125\) | 10.9906 | + | 2.05122i | 0.983026 | + | 0.183467i | ||||
\(126\) | −2.81401 | − | 12.6560i | −0.250692 | − | 1.12748i | ||||
\(127\) | 12.8024 | + | 12.8024i | 1.13603 | + | 1.13603i | 0.989155 | + | 0.146875i | \(0.0469215\pi\) |
0.146875 | + | 0.989155i | \(0.453079\pi\) | |||||||
\(128\) | −8.30802 | + | 7.67963i | −0.734332 | + | 0.678790i | ||||
\(129\) | 0.160121i | 0.0140979i | ||||||||
\(130\) | 13.3827 | + | 6.16623i | 1.17374 | + | 0.540814i | ||||
\(131\) | 13.6077 | − | 2.70673i | 1.18891 | − | 0.236489i | 0.439281 | − | 0.898349i | \(-0.355233\pi\) |
0.749627 | + | 0.661861i | \(0.230233\pi\) | |||||||
\(132\) | 0.148548 | + | 0.0538583i | 0.0129295 | + | 0.00468776i | ||||
\(133\) | 12.0977 | + | 2.40639i | 1.04901 | + | 0.208660i | ||||
\(134\) | 1.13566 | + | 2.57663i | 0.0981057 | + | 0.222587i | ||||
\(135\) | 0.289963 | − | 1.09949i | 0.0249561 | − | 0.0946293i | ||||
\(136\) | 2.42580 | − | 18.6949i | 0.208010 | − | 1.60308i | ||||
\(137\) | −2.11814 | + | 5.11364i | −0.180965 | + | 0.436887i | −0.988166 | − | 0.153389i | \(-0.950981\pi\) |
0.807201 | + | 0.590276i | \(0.200981\pi\) | |||||||
\(138\) | −0.921847 | + | 0.0206878i | −0.0784729 | + | 0.00176106i | ||||
\(139\) | −12.7289 | − | 2.53194i | −1.07965 | − | 0.214756i | −0.376945 | − | 0.926236i | \(-0.623025\pi\) |
−0.702707 | + | 0.711480i | \(0.748025\pi\) | |||||||
\(140\) | −9.84656 | + | 9.52442i | −0.832186 | + | 0.804960i | ||||
\(141\) | −0.714772 | − | 0.477595i | −0.0601947 | − | 0.0402208i | ||||
\(142\) | −4.64936 | − | 6.63120i | −0.390166 | − | 0.556478i | ||||
\(143\) | 4.33838 | 0.362794 | ||||||||
\(144\) | 11.4260 | + | 3.57143i | 0.952170 | + | 0.297619i | ||||
\(145\) | 0.975250 | + | 7.18846i | 0.0809901 | + | 0.596969i | ||||
\(146\) | 13.8033 | − | 9.67795i | 1.14237 | − | 0.800953i | ||||
\(147\) | −0.198363 | + | 0.0394568i | −0.0163607 | + | 0.00325435i | ||||
\(148\) | −3.82044 | − | 15.5292i | −0.314038 | − | 1.27650i | ||||
\(149\) | 14.5016 | + | 2.88455i | 1.18802 | + | 0.236311i | 0.749249 | − | 0.662289i | \(-0.230415\pi\) |
0.438768 | + | 0.898600i | \(0.355415\pi\) | |||||||
\(150\) | −0.574596 | + | 0.172800i | −0.0469156 | + | 0.0141090i | ||||
\(151\) | −11.9731 | + | 4.95944i | −0.974361 | + | 0.403594i | −0.812334 | − | 0.583193i | \(-0.801803\pi\) |
−0.162027 | + | 0.986786i | \(0.551803\pi\) | |||||||
\(152\) | −7.49345 | + | 8.57683i | −0.607799 | + | 0.695673i | ||||
\(153\) | −18.4288 | + | 7.63346i | −1.48988 | + | 0.617129i | ||||
\(154\) | −1.45953 | + | 3.76009i | −0.117612 | + | 0.302997i | ||||
\(155\) | −5.62162 | − | 0.346189i | −0.451539 | − | 0.0278066i | ||||
\(156\) | −0.789989 | + | 0.0354752i | −0.0632498 | + | 0.00284029i | ||||
\(157\) | −7.84302 | + | 11.7379i | −0.625941 | + | 0.936787i | 0.374015 | + | 0.927423i | \(0.377981\pi\) |
−0.999956 | + | 0.00936453i | \(0.997019\pi\) | |||||||
\(158\) | 6.14170 | − | 1.36558i | 0.488607 | − | 0.108640i | ||||
\(159\) | 0.289143i | 0.0229305i | ||||||||
\(160\) | −3.09309 | − | 12.2651i | −0.244530 | − | 0.969642i | ||||
\(161\) | − | 23.5373i | − | 1.85500i | ||||||
\(162\) | −2.74267 | − | 12.3351i | −0.215485 | − | 0.969138i | ||||
\(163\) | 4.86738 | − | 7.28455i | 0.381243 | − | 0.570570i | −0.590374 | − | 0.807130i | \(-0.701020\pi\) |
0.971617 | + | 0.236559i | \(0.0760198\pi\) | |||||||
\(164\) | 5.74194 | − | 6.28188i | 0.448370 | − | 0.490532i | ||||
\(165\) | −0.132360 | + | 0.117004i | −0.0103042 | + | 0.00910875i | ||||
\(166\) | 19.0114 | + | 7.37952i | 1.47557 | + | 0.572762i | ||||
\(167\) | 17.0005 | − | 7.04183i | 1.31554 | − | 0.544913i | 0.389042 | − | 0.921220i | \(-0.372806\pi\) |
0.926495 | + | 0.376307i | \(0.122806\pi\) | |||||||
\(168\) | 0.235024 | − | 0.696622i | 0.0181325 | − | 0.0537455i | ||||
\(169\) | −8.04886 | + | 3.33395i | −0.619143 | + | 0.256458i | ||||
\(170\) | 17.0540 | + | 12.3851i | 1.30798 | + | 0.949898i | ||||
\(171\) | 11.8195 | + | 2.35105i | 0.903861 | + | 0.179789i | ||||
\(172\) | 1.95383 | − | 3.22885i | 0.148978 | − | 0.246198i | ||||
\(173\) | −2.37889 | + | 0.473190i | −0.180864 | + | 0.0359760i | −0.284691 | − | 0.958619i | \(-0.591891\pi\) |
0.103828 | + | 0.994595i | \(0.466891\pi\) | |||||||
\(174\) | −0.223502 | − | 0.318772i | −0.0169436 | − | 0.0241661i | ||||
\(175\) | −4.08076 | − | 14.7626i | −0.308476 | − | 1.11595i | ||||
\(176\) | −2.33830 | − | 2.89867i | −0.176256 | − | 0.218496i | ||||
\(177\) | 0.741985 | 0.0557710 | ||||||||
\(178\) | 8.86107 | − | 6.21279i | 0.664165 | − | 0.465669i | ||||
\(179\) | 0.701223 | + | 0.468542i | 0.0524119 | + | 0.0350205i | 0.581500 | − | 0.813546i | \(-0.302466\pi\) |
−0.529088 | + | 0.848567i | \(0.677466\pi\) | |||||||
\(180\) | −9.62012 | + | 9.30539i | −0.717041 | + | 0.693583i | ||||
\(181\) | 12.4845 | + | 2.48333i | 0.927967 | + | 0.184584i | 0.635863 | − | 0.771802i | \(-0.280644\pi\) |
0.292105 | + | 0.956386i | \(0.405644\pi\) | |||||||
\(182\) | −0.452889 | − | 20.1808i | −0.0335704 | − | 1.49590i | ||||
\(183\) | −0.108944 | + | 0.263014i | −0.00805337 | + | 0.0194426i | ||||
\(184\) | 18.8416 | + | 10.8314i | 1.38902 | + | 0.798502i | ||||
\(185\) | 17.2888 | + | 4.55948i | 1.27110 | + | 0.335220i | ||||
\(186\) | 0.276593 | − | 0.121909i | 0.0202808 | − | 0.00893882i | ||||
\(187\) | 6.08634 | + | 1.21065i | 0.445077 | + | 0.0885313i | ||||
\(188\) | 8.58571 | + | 18.3525i | 0.626177 | + | 1.33850i | ||||
\(189\) | −1.52779 | + | 0.303896i | −0.111130 | + | 0.0221052i | ||||
\(190\) | −4.40972 | − | 11.9456i | −0.319915 | − | 0.866623i | ||||
\(191\) | − | 10.2269i | − | 0.739996i | −0.929033 | − | 0.369998i | \(-0.879358\pi\) | ||
0.929033 | − | 0.369998i | \(-0.120642\pi\) | |||||||
\(192\) | 0.449491 | + | 0.508708i | 0.0324392 | + | 0.0367129i | ||||
\(193\) | −0.740463 | − | 0.740463i | −0.0532997 | − | 0.0532997i | 0.679955 | − | 0.733254i | \(-0.261999\pi\) |
−0.733254 | + | 0.679955i | \(0.761999\pi\) | |||||||
\(194\) | −9.33082 | + | 2.07467i | −0.669914 | + | 0.148953i | ||||
\(195\) | 0.387907 | − | 0.794485i | 0.0277786 | − | 0.0568942i | ||||
\(196\) | 4.48146 | + | 1.62482i | 0.320105 | + | 0.116058i | ||||
\(197\) | 0.493848 | − | 2.48274i | 0.0351852 | − | 0.176888i | −0.959197 | − | 0.282740i | \(-0.908757\pi\) |
0.994382 | + | 0.105851i | \(0.0337568\pi\) | |||||||
\(198\) | −1.42597 | + | 3.67362i | −0.101339 | + | 0.261073i | ||||
\(199\) | −6.89752 | − | 2.85705i | −0.488953 | − | 0.202531i | 0.124566 | − | 0.992211i | \(-0.460246\pi\) |
−0.613518 | + | 0.789681i | \(0.710246\pi\) | |||||||
\(200\) | 13.6953 | + | 3.52682i | 0.968405 | + | 0.249384i | ||||
\(201\) | 0.156092 | − | 0.0646554i | 0.0110099 | − | 0.00456044i | ||||
\(202\) | −14.4516 | + | 0.324318i | −1.01681 | + | 0.0228189i | ||||
\(203\) | 8.26303 | − | 5.52118i | 0.579951 | − | 0.387511i | ||||
\(204\) | −1.11818 | − | 0.170682i | −0.0782882 | − | 0.0119501i | ||||
\(205\) | 3.09410 | + | 8.99813i | 0.216102 | + | 0.628457i | ||||
\(206\) | −26.1979 | − | 4.60262i | −1.82530 | − | 0.320680i | ||||
\(207\) | − | 22.9960i | − | 1.59833i | ||||||
\(208\) | 16.3631 | + | 8.92426i | 1.13457 | + | 0.618786i | ||||
\(209\) | −2.65101 | − | 2.65101i | −0.183374 | − | 0.183374i | ||||
\(210\) | 0.558082 | + | 0.603483i | 0.0385113 | + | 0.0416443i | ||||
\(211\) | −12.0253 | − | 8.03506i | −0.827857 | − | 0.553157i | 0.0679040 | − | 0.997692i | \(-0.478369\pi\) |
−0.895761 | + | 0.444535i | \(0.853369\pi\) | |||||||
\(212\) | 3.52819 | − | 5.83059i | 0.242317 | − | 0.400447i | ||||
\(213\) | −0.404042 | + | 0.269972i | −0.0276845 | + | 0.0184982i | ||||
\(214\) | −0.146179 | − | 6.51374i | −0.00999259 | − | 0.445270i | ||||
\(215\) | 2.12412 | + | 3.64579i | 0.144864 | + | 0.248641i | ||||
\(216\) | 0.459791 | − | 1.36284i | 0.0312848 | − | 0.0927296i | ||||
\(217\) | 2.95270 | + | 7.12845i | 0.200442 | + | 0.483911i | ||||
\(218\) | −4.95024 | + | 2.18183i | −0.335273 | + | 0.147772i | ||||
\(219\) | −0.561965 | − | 0.841041i | −0.0379741 | − | 0.0568323i | ||||
\(220\) | 4.09676 | − | 0.744306i | 0.276204 | − | 0.0501811i | ||||
\(221\) | −30.4599 | + | 6.05885i | −2.04895 | + | 0.407562i | ||||
\(222\) | −0.936689 | + | 0.208270i | −0.0628665 | + | 0.0139781i | ||||
\(223\) | −0.952486 | − | 0.952486i | −0.0637832 | − | 0.0637832i | 0.674496 | − | 0.738279i | \(-0.264361\pi\) |
−0.738279 | + | 0.674496i | \(0.764361\pi\) | |||||||
\(224\) | −13.2396 | + | 11.1796i | −0.884608 | + | 0.746969i | ||||
\(225\) | −3.98691 | − | 14.4231i | −0.265794 | − | 0.961540i | ||||
\(226\) | 17.8760 | + | 11.3727i | 1.18910 | + | 0.756500i | ||||
\(227\) | 15.7092 | + | 10.4965i | 1.04266 | + | 0.696680i | 0.954130 | − | 0.299394i | \(-0.0967844\pi\) |
0.0885258 | + | 0.996074i | \(0.471784\pi\) | |||||||
\(228\) | 0.504407 | + | 0.461053i | 0.0334052 | + | 0.0305339i | ||||
\(229\) | −6.42984 | + | 4.29628i | −0.424896 | + | 0.283906i | −0.749577 | − | 0.661917i | \(-0.769743\pi\) |
0.324681 | + | 0.945824i | \(0.394743\pi\) | |||||||
\(230\) | −20.7151 | + | 12.7000i | −1.36591 | + | 0.837414i | ||||
\(231\) | 0.223590 | + | 0.0926142i | 0.0147112 | + | 0.00609356i | ||||
\(232\) | 0.617207 | + | 9.15528i | 0.0405217 | + | 0.601074i | ||||
\(233\) | −5.00542 | + | 12.0841i | −0.327916 | + | 0.791658i | 0.670831 | + | 0.741610i | \(0.265938\pi\) |
−0.998747 | + | 0.0500483i | \(0.984062\pi\) | |||||||
\(234\) | −0.442474 | − | 19.7167i | −0.0289254 | − | 1.28892i | ||||
\(235\) | −22.6103 | − | 1.39238i | −1.47493 | − | 0.0908288i | ||||
\(236\) | −14.9622 | − | 9.05386i | −0.973956 | − | 0.589356i | ||||
\(237\) | −0.0736489 | − | 0.370258i | −0.00478401 | − | 0.0240508i | ||||
\(238\) | 4.99618 | − | 28.4381i | 0.323854 | − | 1.84337i | ||||
\(239\) | 3.84986 | − | 3.84986i | 0.249027 | − | 0.249027i | −0.571544 | − | 0.820571i | \(-0.693656\pi\) |
0.820571 | + | 0.571544i | \(0.193656\pi\) | |||||||
\(240\) | −0.739906 | + | 0.169032i | −0.0477607 | + | 0.0109110i | ||||
\(241\) | 0.0201870 | + | 0.0201870i | 0.00130036 | + | 0.00130036i | 0.707757 | − | 0.706456i | \(-0.249707\pi\) |
−0.706456 | + | 0.707757i | \(0.749707\pi\) | |||||||
\(242\) | −11.7337 | + | 8.22687i | −0.754269 | + | 0.528844i | ||||
\(243\) | −2.23988 | + | 0.445540i | −0.143688 | + | 0.0285814i | ||||
\(244\) | 5.40621 | − | 3.97434i | 0.346097 | − | 0.254431i | ||||
\(245\) | −3.99309 | + | 3.52982i | −0.255109 | + | 0.225512i | ||||
\(246\) | −0.369099 | − | 0.352896i | −0.0235329 | − | 0.0224998i | ||||
\(247\) | 17.3346 | + | 7.18022i | 1.10297 | + | 0.456867i | ||||
\(248\) | −7.06509 | − | 0.916744i | −0.448634 | − | 0.0582133i | ||||
\(249\) | 0.468266 | − | 1.13049i | 0.0296751 | − | 0.0716421i | ||||
\(250\) | −10.7906 | + | 11.5569i | −0.682460 | + | 0.730923i | ||||
\(251\) | 12.4388 | + | 18.6159i | 0.785127 | + | 1.17503i | 0.980926 | + | 0.194382i | \(0.0622701\pi\) |
−0.195799 | + | 0.980644i | \(0.562730\pi\) | |||||||
\(252\) | 17.2374 | + | 6.24965i | 1.08585 | + | 0.393691i | ||||
\(253\) | −3.97458 | + | 5.94838i | −0.249880 | + | 0.373972i | ||||
\(254\) | −24.9944 | + | 5.55743i | −1.56829 | + | 0.348704i | ||||
\(255\) | 0.765901 | − | 1.00634i | 0.0479626 | − | 0.0630194i | ||||
\(256\) | −2.85665 | − | 15.7429i | −0.178541 | − | 0.983933i | ||||
\(257\) | −15.8067 | + | 15.8067i | −0.985995 | + | 0.985995i | −0.999903 | − | 0.0139079i | \(-0.995573\pi\) |
0.0139079 | + | 0.999903i | \(0.495573\pi\) | |||||||
\(258\) | −0.191058 | − | 0.121550i | −0.0118947 | − | 0.00756739i | ||||
\(259\) | −4.77857 | − | 24.0235i | −0.296926 | − | 1.49275i | ||||
\(260\) | −17.5166 | + | 11.2875i | −1.08634 | + | 0.700022i | ||||
\(261\) | 8.07301 | − | 5.39421i | 0.499707 | − | 0.333893i | ||||
\(262\) | −7.10010 | + | 18.2915i | −0.438645 | + | 1.13005i | ||||
\(263\) | 16.0905 | − | 6.66490i | 0.992182 | − | 0.410975i | 0.173257 | − | 0.984877i | \(-0.444571\pi\) |
0.818924 | + | 0.573901i | \(0.194571\pi\) | |||||||
\(264\) | −0.177029 | + | 0.136364i | −0.0108954 | + | 0.00839265i | ||||
\(265\) | 3.83570 | + | 6.58349i | 0.235625 | + | 0.404421i | ||||
\(266\) | −12.0549 | + | 12.6084i | −0.739132 | + | 0.773069i | ||||
\(267\) | −0.360756 | − | 0.539909i | −0.0220779 | − | 0.0330419i | ||||
\(268\) | −3.93655 | − | 0.600886i | −0.240463 | − | 0.0367050i | ||||
\(269\) | −10.5353 | + | 15.7673i | −0.642352 | + | 0.961347i | 0.357274 | + | 0.933999i | \(0.383706\pi\) |
−0.999626 | + | 0.0273476i | \(0.991294\pi\) | |||||||
\(270\) | 1.09181 | + | 1.18063i | 0.0664453 | + | 0.0718508i | ||||
\(271\) | −17.9572 | + | 17.9572i | −1.09082 | + | 1.09082i | −0.0953797 | + | 0.995441i | \(0.530407\pi\) |
−0.995441 | + | 0.0953797i | \(0.969593\pi\) | |||||||
\(272\) | 20.4655 | + | 17.0861i | 1.24090 | + | 1.03600i | ||||
\(273\) | −1.21118 | −0.0733042 | ||||||||
\(274\) | −4.49372 | − | 6.40922i | −0.271475 | − | 0.387195i | ||||
\(275\) | −1.46156 | + | 4.41991i | −0.0881355 | + | 0.266531i | ||||
\(276\) | 0.675104 | − | 1.11566i | 0.0406365 | − | 0.0671548i | ||||
\(277\) | −13.1894 | − | 19.7393i | −0.792472 | − | 1.18602i | −0.979058 | − | 0.203580i | \(-0.934742\pi\) |
0.186586 | − | 0.982439i | \(-0.440258\pi\) | |||||||
\(278\) | 12.6838 | − | 13.2662i | 0.760725 | − | 0.795653i | ||||
\(279\) | 2.88480 | + | 6.96452i | 0.172708 | + | 0.416955i | ||||
\(280\) | −3.88994 | − | 18.9791i | −0.232468 | − | 1.13422i | ||||
\(281\) | 5.30561 | − | 12.8089i | 0.316506 | − | 0.764113i | −0.682928 | − | 0.730485i | \(-0.739294\pi\) |
0.999434 | − | 0.0336280i | \(-0.0107061\pi\) | |||||||
\(282\) | 1.11246 | − | 0.490321i | 0.0662463 | − | 0.0291982i | ||||
\(283\) | −1.32128 | − | 0.262819i | −0.0785421 | − | 0.0156230i | 0.155663 | − | 0.987810i | \(-0.450249\pi\) |
−0.234205 | + | 0.972187i | \(0.575249\pi\) | |||||||
\(284\) | 11.4418 | − | 0.513804i | 0.678946 | − | 0.0304887i | ||||
\(285\) | −0.722510 | + | 0.248443i | −0.0427978 | + | 0.0147165i | ||||
\(286\) | −3.29333 | + | 5.17659i | −0.194739 | + | 0.306098i | ||||
\(287\) | 9.21725 | − | 9.21725i | 0.544077 | − | 0.544077i | ||||
\(288\) | −12.9351 | + | 10.9225i | −0.762210 | + | 0.643616i | ||||
\(289\) | −27.4231 | −1.61312 | ||||||||
\(290\) | −9.31765 | − | 4.29319i | −0.547151 | − | 0.252105i | ||||
\(291\) | 0.111892 | + | 0.562517i | 0.00655920 | + | 0.0329753i | ||||
\(292\) | 1.06952 | + | 23.8169i | 0.0625888 | + | 1.39378i | ||||
\(293\) | 4.00274 | − | 20.1232i | 0.233843 | − | 1.17561i | −0.668207 | − | 0.743975i | \(-0.732938\pi\) |
0.902050 | − | 0.431632i | \(-0.142062\pi\) | |||||||
\(294\) | 0.103500 | − | 0.266640i | 0.00603625 | − | 0.0155508i | ||||
\(295\) | 16.8942 | − | 9.84298i | 0.983620 | − | 0.573080i | ||||
\(296\) | 21.4298 | + | 7.22991i | 1.24558 | + | 0.420230i | ||||
\(297\) | 0.437423 | + | 0.181186i | 0.0253818 | + | 0.0105135i | ||||
\(298\) | −14.4502 | + | 15.1137i | −0.837080 | + | 0.875514i | ||||
\(299\) | 6.98491 | − | 35.1155i | 0.403948 | − | 2.03078i | ||||
\(300\) | 0.229999 | − | 0.816787i | 0.0132790 | − | 0.0471572i | ||||
\(301\) | 3.21137 | − | 4.80615i | 0.185100 | − | 0.277022i | ||||
\(302\) | 3.17136 | − | 18.0512i | 0.182491 | − | 1.03873i | ||||
\(303\) | 0.867340i | 0.0498274i | ||||||||
\(304\) | −4.54555 | − | 15.4520i | −0.260705 | − | 0.886235i | ||||
\(305\) | 1.00853 | + | 7.43378i | 0.0577483 | + | 0.425657i | ||||
\(306\) | 4.88129 | − | 27.7841i | 0.279045 | − | 1.58831i | ||||
\(307\) | −6.53303 | − | 32.8437i | −0.372860 | − | 1.87449i | −0.475411 | − | 0.879764i | \(-0.657701\pi\) |
0.102551 | − | 0.994728i | \(-0.467299\pi\) | |||||||
\(308\) | −3.37862 | − | 4.59587i | −0.192515 | − | 0.261874i | ||||
\(309\) | −0.311363 | + | 1.56533i | −0.0177128 | + | 0.0890484i | ||||
\(310\) | 4.68053 | − | 6.44496i | 0.265836 | − | 0.366049i | ||||
\(311\) | 1.44399 | + | 3.48609i | 0.0818810 | + | 0.197678i | 0.959518 | − | 0.281648i | \(-0.0908811\pi\) |
−0.877637 | + | 0.479326i | \(0.840881\pi\) | |||||||
\(312\) | 0.557364 | − | 0.969551i | 0.0315545 | − | 0.0548900i | ||||
\(313\) | −1.14673 | − | 2.76845i | −0.0648170 | − | 0.156482i | 0.888152 | − | 0.459550i | \(-0.151989\pi\) |
−0.952969 | + | 0.303068i | \(0.901989\pi\) | |||||||
\(314\) | −8.05201 | − | 18.2688i | −0.454401 | − | 1.03097i | ||||
\(315\) | −15.3589 | + | 13.5770i | −0.865377 | + | 0.764977i | ||||
\(316\) | −3.03283 | + | 8.36495i | −0.170610 | + | 0.470565i | ||||
\(317\) | 5.50775 | + | 3.68016i | 0.309346 | + | 0.206698i | 0.700546 | − | 0.713607i | \(-0.252940\pi\) |
−0.391200 | + | 0.920306i | \(0.627940\pi\) | |||||||
\(318\) | −0.345008 | − | 0.219493i | −0.0193471 | − | 0.0123086i | ||||
\(319\) | −3.02057 | −0.169119 | ||||||||
\(320\) | 16.9828 | + | 5.61994i | 0.949369 | + | 0.314164i | ||||
\(321\) | −0.390934 | −0.0218198 | ||||||||
\(322\) | 28.0849 | + | 17.8675i | 1.56511 | + | 0.995717i | ||||
\(323\) | 22.3151 | + | 14.9105i | 1.24165 | + | 0.829641i | ||||
\(324\) | 16.8004 | + | 6.09120i | 0.933353 | + | 0.338400i | ||||
\(325\) | −1.70718 | − | 23.2355i | −0.0946975 | − | 1.28887i | ||||
\(326\) | 4.99708 | + | 11.3376i | 0.276763 | + | 0.627932i | ||||
\(327\) | 0.124217 | + | 0.299885i | 0.00686919 | + | 0.0165837i | ||||
\(328\) | 3.13679 | + | 11.6200i | 0.173200 | + | 0.641607i | ||||
\(329\) | 11.8758 | + | 28.6708i | 0.654735 | + | 1.58067i | ||||
\(330\) | −0.0391333 | − | 0.246753i | −0.00215422 | − | 0.0135833i | ||||
\(331\) | 0.348687 | − | 1.75297i | 0.0191656 | − | 0.0963518i | −0.970019 | − | 0.243031i | \(-0.921858\pi\) |
0.989184 | + | 0.146679i | \(0.0468584\pi\) | |||||||
\(332\) | −23.2371 | + | 17.0826i | −1.27530 | + | 0.937529i | ||||
\(333\) | −4.66868 | − | 23.4710i | −0.255842 | − | 1.28620i | ||||
\(334\) | −4.50296 | + | 25.6307i | −0.246391 | + | 1.40245i | ||||
\(335\) | 2.69635 | − | 3.54281i | 0.147317 | − | 0.193564i | ||||
\(336\) | 0.652804 | + | 0.809249i | 0.0356134 | + | 0.0441481i | ||||
\(337\) | 25.7656i | 1.40354i | 0.712403 | + | 0.701771i | \(0.247607\pi\) | ||||
−0.712403 | + | 0.701771i | \(0.752393\pi\) | |||||||
\(338\) | 2.13192 | − | 12.1348i | 0.115961 | − | 0.660047i | ||||
\(339\) | 0.706274 | − | 1.05701i | 0.0383595 | − | 0.0574091i | ||||
\(340\) | −27.7240 | + | 10.9472i | −1.50355 | + | 0.593696i | ||||
\(341\) | 0.457522 | − | 2.30012i | 0.0247762 | − | 0.124558i | ||||
\(342\) | −11.7777 | + | 12.3184i | −0.636863 | + | 0.666104i | ||||
\(343\) | −13.0651 | − | 5.41175i | −0.705450 | − | 0.292207i | ||||
\(344\) | 2.36951 | + | 4.78240i | 0.127755 | + | 0.257849i | ||||
\(345\) | 0.733944 | + | 1.25972i | 0.0395142 | + | 0.0678212i | ||||
\(346\) | 1.24124 | − | 3.19771i | 0.0667293 | − | 0.171910i | ||||
\(347\) | −5.30497 | + | 26.6699i | −0.284786 | + | 1.43172i | 0.528046 | + | 0.849216i | \(0.322925\pi\) |
−0.812831 | + | 0.582499i | \(0.802075\pi\) | |||||||
\(348\) | 0.550025 | − | 0.0246994i | 0.0294844 | − | 0.00132402i | ||||
\(349\) | −0.219154 | − | 1.10176i | −0.0117310 | − | 0.0589758i | 0.974476 | − | 0.224490i | \(-0.0720716\pi\) |
−0.986207 | + | 0.165514i | \(0.947072\pi\) | |||||||
\(350\) | 20.7126 | + | 6.33732i | 1.10713 | + | 0.338744i | ||||
\(351\) | −2.36951 | −0.126475 | ||||||||
\(352\) | 5.23376 | − | 0.589648i | 0.278960 | − | 0.0314283i | ||||
\(353\) | 14.2985 | − | 14.2985i | 0.761031 | − | 0.761031i | −0.215478 | − | 0.976509i | \(-0.569131\pi\) |
0.976509 | + | 0.215478i | \(0.0691310\pi\) | |||||||
\(354\) | −0.563252 | + | 0.885343i | −0.0299365 | + | 0.0470554i | ||||
\(355\) | −5.61824 | + | 11.5069i | −0.298185 | + | 0.610723i | ||||
\(356\) | 0.686580 | + | 15.2893i | 0.0363887 | + | 0.810332i | ||||
\(357\) | −1.69918 | − | 0.337987i | −0.0899299 | − | 0.0178882i | ||||
\(358\) | −1.09138 | + | 0.481027i | −0.0576811 | + | 0.0254231i | ||||
\(359\) | −2.22503 | + | 5.37171i | −0.117433 | + | 0.283508i | −0.971656 | − | 0.236398i | \(-0.924033\pi\) |
0.854223 | + | 0.519906i | \(0.174033\pi\) | |||||||
\(360\) | −3.80048 | − | 18.5427i | −0.200303 | − | 0.977284i | ||||
\(361\) | 1.06607 | + | 2.57372i | 0.0561089 | + | 0.135459i | ||||
\(362\) | −12.4403 | + | 13.0115i | −0.653848 | + | 0.683869i | ||||
\(363\) | 0.477706 | + | 0.714938i | 0.0250731 | + | 0.0375245i | ||||
\(364\) | 24.4236 | + | 14.7791i | 1.28015 | + | 0.774637i | ||||
\(365\) | −23.9524 | − | 11.6947i | −1.25373 | − | 0.612131i | ||||
\(366\) | −0.231129 | − | 0.329651i | −0.0120813 | − | 0.0172311i | ||||
\(367\) | −26.6083 | −1.38894 | −0.694472 | − | 0.719520i | \(-0.744362\pi\) | ||||
−0.694472 | + | 0.719520i | \(0.744362\pi\) | |||||||
\(368\) | −27.2270 | + | 14.2596i | −1.41931 | + | 0.743333i | ||||
\(369\) | 9.00528 | − | 9.00528i | 0.468796 | − | 0.468796i | ||||
\(370\) | −18.5646 | + | 17.1679i | −0.965127 | + | 0.892519i | ||||
\(371\) | 5.79902 | − | 8.67885i | 0.301070 | − | 0.450584i | ||||
\(372\) | −0.0645034 | + | 0.422577i | −0.00334434 | + | 0.0219096i | ||||
\(373\) | 3.01150 | + | 4.50703i | 0.155930 | + | 0.233365i | 0.901207 | − | 0.433390i | \(-0.142683\pi\) |
−0.745277 | + | 0.666755i | \(0.767683\pi\) | |||||||
\(374\) | −6.06478 | + | 6.34324i | −0.313603 | + | 0.328001i | ||||
\(375\) | 0.678733 | + | 0.662852i | 0.0350496 | + | 0.0342295i | ||||
\(376\) | −28.4159 | − | 3.68716i | −1.46544 | − | 0.190151i | ||||
\(377\) | 13.9662 | − | 5.78497i | 0.719294 | − | 0.297941i | ||||
\(378\) | 0.797158 | − | 2.05366i | 0.0410014 | − | 0.105629i | ||||
\(379\) | 2.52215 | − | 1.68525i | 0.129554 | − | 0.0865653i | −0.489105 | − | 0.872225i | \(-0.662676\pi\) |
0.618659 | + | 0.785660i | \(0.287676\pi\) | |||||||
\(380\) | 17.6010 | + | 3.80636i | 0.902914 | + | 0.195262i | ||||
\(381\) | 0.299724 | + | 1.50681i | 0.0153553 | + | 0.0771963i | ||||
\(382\) | 12.2029 | + | 7.76343i | 0.624353 | + | 0.397212i | ||||
\(383\) | 9.41785 | − | 9.41785i | 0.481230 | − | 0.481230i | −0.424294 | − | 0.905524i | \(-0.639478\pi\) |
0.905524 | + | 0.424294i | \(0.139478\pi\) | |||||||
\(384\) | −0.948210 | + | 0.150168i | −0.0483881 | + | 0.00766320i | ||||
\(385\) | 6.31951 | − | 0.857361i | 0.322072 | − | 0.0436952i | ||||
\(386\) | 1.44562 | − | 0.321429i | 0.0735803 | − | 0.0163603i | ||||
\(387\) | 3.13752 | − | 4.69563i | 0.159489 | − | 0.238692i | ||||
\(388\) | 4.60765 | − | 12.7085i | 0.233918 | − | 0.645177i | ||||
\(389\) | 17.4722 | + | 26.1490i | 0.885875 | + | 1.32581i | 0.944836 | + | 0.327545i | \(0.106221\pi\) |
−0.0589606 | + | 0.998260i | \(0.518779\pi\) | |||||||
\(390\) | 0.653519 | + | 1.06596i | 0.0330922 | + | 0.0539769i | ||||
\(391\) | 19.5983 | − | 47.3145i | 0.991130 | − | 2.39280i | ||||
\(392\) | −5.34069 | + | 4.11389i | −0.269746 | + | 0.207783i | ||||
\(393\) | 1.08769 | + | 0.450535i | 0.0548665 | + | 0.0227265i | ||||
\(394\) | 2.58754 | + | 2.47395i | 0.130358 | + | 0.124636i | ||||
\(395\) | −6.58865 | − | 7.45338i | −0.331511 | − | 0.375020i | ||||
\(396\) | −3.30092 | − | 4.49018i | −0.165878 | − | 0.225640i | ||||
\(397\) | 17.7833 | − | 3.53733i | 0.892520 | − | 0.177533i | 0.272534 | − | 0.962146i | \(-0.412138\pi\) |
0.619986 | + | 0.784613i | \(0.287138\pi\) | |||||||
\(398\) | 8.64507 | − | 6.06135i | 0.433338 | − | 0.303828i | ||||
\(399\) | 0.740105 | + | 0.740105i | 0.0370516 | + | 0.0370516i | ||||
\(400\) | −14.6045 | + | 13.6641i | −0.730227 | + | 0.683204i | ||||
\(401\) | 9.80589 | − | 9.80589i | 0.489683 | − | 0.489683i | −0.418523 | − | 0.908206i | \(-0.637452\pi\) |
0.908206 | + | 0.418523i | \(0.137452\pi\) | |||||||
\(402\) | −0.0413445 | + | 0.235331i | −0.00206208 | + | 0.0117373i | ||||
\(403\) | 2.28973 | + | 11.5112i | 0.114060 | + | 0.573416i | ||||
\(404\) | 10.5835 | − | 17.4900i | 0.526547 | − | 0.870159i | ||||
\(405\) | −14.9695 | + | 13.2328i | −0.743842 | + | 0.657542i | ||||
\(406\) | 0.315321 | + | 14.0507i | 0.0156491 | + | 0.697326i | ||||
\(407\) | −2.84903 | + | 6.87818i | −0.141221 | + | 0.340939i | ||||
\(408\) | 1.05249 | − | 1.20465i | 0.0521058 | − | 0.0596392i | ||||
\(409\) | −5.52007 | − | 2.28649i | −0.272950 | − | 0.113059i | 0.242010 | − | 0.970274i | \(-0.422193\pi\) |
−0.514960 | + | 0.857214i | \(0.672193\pi\) | |||||||
\(410\) | −13.0854 | − | 3.13871i | −0.646243 | − | 0.155010i | ||||
\(411\) | −0.390517 | + | 0.260935i | −0.0192628 | + | 0.0128710i | ||||
\(412\) | 25.3791 | − | 27.7656i | 1.25034 | − | 1.36792i | ||||
\(413\) | −22.2713 | − | 14.8812i | −1.09590 | − | 0.732255i | ||||
\(414\) | 27.4390 | + | 17.4566i | 1.34855 | + | 0.857946i | ||||
\(415\) | −4.33489 | − | 31.9520i | −0.212792 | − | 1.56846i | ||||
\(416\) | −23.0699 | + | 12.7500i | −1.13110 | + | 0.625120i | ||||
\(417\) | −0.778719 | − | 0.778719i | −0.0381340 | − | 0.0381340i | ||||
\(418\) | 5.17562 | − | 1.15078i | 0.253148 | − | 0.0562865i | ||||
\(419\) | 7.72244 | − | 1.53609i | 0.377266 | − | 0.0750429i | −0.00281508 | − | 0.999996i | \(-0.500896\pi\) |
0.380081 | + | 0.924953i | \(0.375896\pi\) | |||||||
\(420\) | −1.14373 | + | 0.207794i | −0.0558083 | + | 0.0101393i | ||||
\(421\) | 17.3876 | + | 26.0224i | 0.847420 | + | 1.26825i | 0.961506 | + | 0.274782i | \(0.0886058\pi\) |
−0.114087 | + | 0.993471i | \(0.536394\pi\) | |||||||
\(422\) | 18.7161 | − | 8.24917i | 0.911086 | − | 0.401563i | ||||
\(423\) | 11.6027 | + | 28.0115i | 0.564144 | + | 1.36196i | ||||
\(424\) | 4.27881 | + | 8.63595i | 0.207797 | + | 0.419399i | ||||
\(425\) | 4.08895 | − | 33.0735i | 0.198343 | − | 1.60430i | ||||
\(426\) | −0.0154184 | − | 0.687046i | −0.000747026 | − | 0.0332875i | ||||
\(427\) | 8.54501 | − | 5.70960i | 0.413522 | − | 0.276307i | ||||
\(428\) | 7.88321 | + | 4.77026i | 0.381049 | + | 0.230579i | ||||
\(429\) | 0.306093 | + | 0.204524i | 0.0147783 | + | 0.00987454i | ||||
\(430\) | −5.96264 | − | 0.233056i | −0.287544 | − | 0.0112390i | ||||
\(431\) | −17.3087 | − | 17.3087i | −0.833731 | − | 0.833731i | 0.154294 | − | 0.988025i | \(-0.450690\pi\) |
−0.988025 | + | 0.154294i | \(0.950690\pi\) | |||||||
\(432\) | 1.27712 | + | 1.58318i | 0.0614453 | + | 0.0761708i | ||||
\(433\) | 19.1467i | 0.920132i | 0.887885 | + | 0.460066i | \(0.152174\pi\) | ||||
−0.887885 | + | 0.460066i | \(0.847826\pi\) | |||||||
\(434\) | −10.7472 | − | 1.88813i | −0.515880 | − | 0.0906332i | ||||
\(435\) | −0.270078 | + | 0.553155i | −0.0129492 | + | 0.0265217i | ||||
\(436\) | 1.15443 | − | 7.56292i | 0.0552870 | − | 0.362198i | ||||
\(437\) | −25.7258 | + | 17.1894i | −1.23063 | + | 0.822283i | ||||
\(438\) | 1.43013 | − | 0.0320945i | 0.0683344 | − | 0.00153353i | ||||
\(439\) | 10.9473 | − | 4.53451i | 0.522485 | − | 0.216420i | −0.105823 | − | 0.994385i | \(-0.533748\pi\) |
0.628308 | + | 0.777965i | \(0.283748\pi\) | |||||||
\(440\) | −2.22180 | + | 5.45330i | −0.105920 | + | 0.259976i | ||||
\(441\) | 6.59024 | + | 2.72977i | 0.313821 | + | 0.129989i | ||||
\(442\) | 15.8931 | − | 40.9443i | 0.755958 | − | 1.94752i | ||||
\(443\) | −2.05764 | + | 10.3445i | −0.0977615 | + | 0.491480i | 0.900620 | + | 0.434608i | \(0.143113\pi\) |
−0.998381 | + | 0.0568727i | \(0.981887\pi\) | |||||||
\(444\) | 0.462546 | − | 1.27577i | 0.0219515 | − | 0.0605451i | ||||
\(445\) | −15.3763 | − | 7.50748i | −0.728907 | − | 0.355889i | ||||
\(446\) | 1.85956 | − | 0.413467i | 0.0880528 | − | 0.0195782i | ||||
\(447\) | 0.887167 | + | 0.887167i | 0.0419616 | + | 0.0419616i | ||||
\(448\) | −3.28921 | − | 24.2842i | −0.155401 | − | 1.14732i | ||||
\(449\) | − | 10.3724i | − | 0.489503i | −0.969586 | − | 0.244751i | \(-0.921294\pi\) | ||
0.969586 | − | 0.244751i | \(-0.0787063\pi\) | |||||||
\(450\) | 20.2363 | + | 6.19158i | 0.953947 | + | 0.291874i | ||||
\(451\) | −3.88585 | + | 0.772944i | −0.182978 | + | 0.0363965i | ||||
\(452\) | −27.1400 | + | 12.6966i | −1.27656 | + | 0.597200i | ||||
\(453\) | −1.07856 | − | 0.214540i | −0.0506753 | − | 0.0100799i | ||||
\(454\) | −24.4496 | + | 10.7762i | −1.14748 | + | 0.505754i | ||||
\(455\) | −27.5774 | + | 16.0672i | −1.29285 | + | 0.753244i | ||||
\(456\) | −0.933035 | + | 0.251871i | −0.0436933 | + | 0.0117949i | ||||
\(457\) | 1.01012 | − | 2.43865i | 0.0472516 | − | 0.114075i | −0.898491 | − | 0.438991i | \(-0.855336\pi\) |
0.945743 | + | 0.324916i | \(0.105336\pi\) | |||||||
\(458\) | −0.245366 | − | 10.9335i | −0.0114652 | − | 0.510889i | ||||
\(459\) | −3.32420 | − | 0.661224i | −0.155160 | − | 0.0308633i | ||||
\(460\) | 0.571370 | − | 34.3581i | 0.0266403 | − | 1.60196i | ||||
\(461\) | 6.58885 | + | 4.40253i | 0.306873 | + | 0.205046i | 0.699465 | − | 0.714667i | \(-0.253422\pi\) |
−0.392592 | + | 0.919713i | \(0.628422\pi\) | |||||||
\(462\) | −0.280239 | + | 0.196485i | −0.0130379 | + | 0.00914130i | ||||
\(463\) | 11.4599 | 0.532585 | 0.266292 | − | 0.963892i | \(-0.414201\pi\) | ||||
0.266292 | + | 0.963892i | \(0.414201\pi\) | |||||||
\(464\) | −11.3927 | − | 6.21346i | −0.528892 | − | 0.288453i | ||||
\(465\) | −0.380310 | − | 0.289445i | −0.0176365 | − | 0.0134227i | ||||
\(466\) | −10.6192 | − | 15.1458i | −0.491925 | − | 0.701614i | ||||
\(467\) | −18.5977 | + | 3.69931i | −0.860599 | + | 0.171184i | −0.605611 | − | 0.795761i | \(-0.707071\pi\) |
−0.254988 | + | 0.966944i | \(0.582071\pi\) | |||||||
\(468\) | 23.8620 | + | 14.4393i | 1.10302 | + | 0.667455i | ||||
\(469\) | −5.98194 | − | 1.18988i | −0.276221 | − | 0.0549437i | ||||
\(470\) | 18.8252 | − | 25.9218i | 0.868342 | − | 1.19568i | ||||
\(471\) | −1.10672 | + | 0.458419i | −0.0509950 | + | 0.0211228i | ||||
\(472\) | 22.1612 | − | 10.9801i | 1.02005 | − | 0.505399i | ||||
\(473\) | −1.62317 | + | 0.672337i | −0.0746332 | + | 0.0309141i | ||||
\(474\) | 0.497702 | + | 0.193190i | 0.0228602 | + | 0.00887351i | ||||
\(475\) | −13.1550 | + | 15.2414i | −0.603594 | + | 0.699324i | ||||
\(476\) | 30.1398 | + | 27.5492i | 1.38146 | + | 1.26272i | ||||
\(477\) | 5.66567 | − | 8.47927i | 0.259413 | − | 0.388239i | ||||
\(478\) | 1.67119 | + | 7.51617i | 0.0764386 | + | 0.343782i | ||||
\(479\) | − | 11.7354i | − | 0.536206i | −0.963390 | − | 0.268103i | \(-0.913603\pi\) | ||
0.963390 | − | 0.268103i | \(-0.0863968\pi\) | |||||||
\(480\) | 0.359983 | − | 1.01118i | 0.0164309 | − | 0.0461537i | ||||
\(481\) | − | 37.2589i | − | 1.69886i | ||||||
\(482\) | −0.0394115 | + | 0.00876301i | −0.00179514 | + | 0.000399144i | ||||
\(483\) | 1.10962 | − | 1.66066i | 0.0504894 | − | 0.0755627i | ||||
\(484\) | −0.909158 | − | 20.2459i | −0.0413254 | − | 0.920266i | ||||
\(485\) | 10.0099 | + | 11.3236i | 0.454524 | + | 0.514178i | ||||
\(486\) | 1.16871 | − | 3.01086i | 0.0530136 | − | 0.136575i | ||||
\(487\) | 6.03087 | − | 2.49807i | 0.273285 | − | 0.113198i | −0.241832 | − | 0.970318i | \(-0.577748\pi\) |
0.515117 | + | 0.857120i | \(0.327748\pi\) | |||||||
\(488\) | 0.638270 | + | 9.46772i | 0.0288931 | + | 0.428583i | ||||
\(489\) | 0.686832 | − | 0.284495i | 0.0310596 | − | 0.0128653i | ||||
\(490\) | −1.18059 | − | 7.44413i | −0.0533336 | − | 0.336292i | ||||
\(491\) | 35.6616 | + | 7.09353i | 1.60938 | + | 0.320126i | 0.916227 | − | 0.400660i | \(-0.131219\pi\) |
0.693157 | + | 0.720786i | \(0.256219\pi\) | |||||||
\(492\) | 0.701267 | − | 0.172523i | 0.0316155 | − | 0.00777792i | ||||
\(493\) | 21.2075 | − | 4.21844i | 0.955138 | − | 0.189989i | ||||
\(494\) | −21.7264 | + | 15.2331i | −0.977519 | + | 0.685372i | ||||
\(495\) | 6.17419 | − | 0.837645i | 0.277509 | − | 0.0376493i | ||||
\(496\) | 6.45708 | − | 7.73420i | 0.289932 | − | 0.347276i | ||||
\(497\) | 17.5422 | 0.786874 | ||||||||
\(498\) | 0.993445 | + | 1.41691i | 0.0445173 | + | 0.0634934i | ||||
\(499\) | 10.6462 | + | 7.11354i | 0.476588 | + | 0.318446i | 0.770559 | − | 0.637368i | \(-0.219977\pi\) |
−0.293971 | + | 0.955814i | \(0.594977\pi\) | |||||||
\(500\) | −5.59845 | − | 21.6485i | −0.250370 | − | 0.968150i | ||||
\(501\) | 1.53143 | + | 0.304621i | 0.0684195 | + | 0.0136095i | ||||
\(502\) | −31.6551 | + | 0.710392i | −1.41284 | + | 0.0317063i | ||||
\(503\) | 8.71976 | − | 21.0514i | 0.388795 | − | 0.938634i | −0.601401 | − | 0.798947i | \(-0.705390\pi\) |
0.990196 | − | 0.139687i | \(-0.0446095\pi\) | |||||||
\(504\) | −20.5423 | + | 15.8236i | −0.915026 | + | 0.704837i | ||||
\(505\) | 11.5059 | + | 19.7484i | 0.512006 | + | 0.878794i | ||||
\(506\) | −4.08049 | − | 9.25801i | −0.181400 | − | 0.411569i | ||||
\(507\) | −0.725056 | − | 0.144223i | −0.0322009 | − | 0.00640515i | ||||
\(508\) | 12.3425 | − | 34.0423i | 0.547610 | − | 1.51038i | ||||
\(509\) | −2.46363 | + | 0.490046i | −0.109198 | + | 0.0217209i | −0.249387 | − | 0.968404i | \(-0.580229\pi\) |
0.140189 | + | 0.990125i | \(0.455229\pi\) | |||||||
\(510\) | 0.619364 | + | 1.67781i | 0.0274259 | + | 0.0742945i | ||||
\(511\) | 36.5152i | 1.61534i | ||||||||
\(512\) | 20.9531 | + | 8.54212i | 0.926005 | + | 0.377512i | ||||
\(513\) | 1.44791 | + | 1.44791i | 0.0639268 | + | 0.0639268i | ||||
\(514\) | −6.86157 | − | 30.8598i | −0.302651 | − | 1.36117i | ||||
\(515\) | 13.6758 | + | 39.7714i | 0.602628 | + | 1.75254i | ||||
\(516\) | 0.290069 | − | 0.135701i | 0.0127696 | − | 0.00597389i | ||||
\(517\) | 1.84016 | − | 9.25112i | 0.0809302 | − | 0.406864i | ||||
\(518\) | 32.2925 | + | 12.5348i | 1.41885 | + | 0.550746i | ||||
\(519\) | −0.190149 | − | 0.0787623i | −0.00834661 | − | 0.00345728i | ||||
\(520\) | −0.171207 | − | 29.4695i | −0.00750792 | − | 1.29232i | ||||
\(521\) | −22.4651 | + | 9.30536i | −0.984216 | + | 0.407675i | −0.815986 | − | 0.578072i | \(-0.803805\pi\) |
−0.168230 | + | 0.985748i | \(0.553805\pi\) | |||||||
\(522\) | 0.308070 | + | 13.7276i | 0.0134838 | + | 0.600841i | ||||
\(523\) | −8.48787 | + | 5.67141i | −0.371149 | + | 0.247994i | −0.727130 | − | 0.686499i | \(-0.759146\pi\) |
0.355982 | + | 0.934493i | \(0.384146\pi\) | |||||||
\(524\) | −16.4358 | − | 22.3572i | −0.718000 | − | 0.976681i | ||||
\(525\) | 0.408037 | − | 1.23395i | 0.0178082 | − | 0.0538538i | ||||
\(526\) | −4.26193 | + | 24.2587i | −0.185829 | + | 1.05773i | ||||
\(527\) | 16.7881i | 0.731303i | ||||||||
\(528\) | −0.0283253 | − | 0.314749i | −0.00123270 | − | 0.0136977i | ||||
\(529\) | 25.4844 | + | 25.4844i | 1.10802 | + | 1.10802i | ||||
\(530\) | −10.7672 | − | 0.420848i | −0.467697 | − | 0.0182804i | ||||
\(531\) | −21.7591 | − | 14.5390i | −0.944264 | − | 0.630937i | ||||
\(532\) | −5.89335 | − | 23.9552i | −0.255509 | − | 1.03859i | ||||
\(533\) | 16.4866 | − | 11.0160i | 0.714114 | − | 0.477156i | ||||
\(534\) | 0.918078 | − | 0.0206032i | 0.0397291 | − | 0.000891587i | ||||
\(535\) | −8.90116 | + | 5.18602i | −0.384831 | + | 0.224211i | ||||
\(536\) | 3.70527 | − | 4.24097i | 0.160043 | − | 0.183182i | ||||
\(537\) | 0.0273860 | + | 0.0661155i | 0.00118179 | + | 0.00285310i | ||||
\(538\) | −10.8161 | − | 24.5400i | −0.466314 | − | 1.05800i | ||||
\(539\) | −1.23289 | − | 1.84515i | −0.0531044 | − | 0.0794763i | ||||
\(540\) | −2.23754 | + | 0.406520i | −0.0962885 | + | 0.0174938i | ||||
\(541\) | −22.2504 | + | 4.42587i | −0.956618 | + | 0.190283i | −0.648627 | − | 0.761106i | \(-0.724657\pi\) |
−0.307991 | + | 0.951389i | \(0.599657\pi\) | |||||||
\(542\) | −7.79507 | − | 35.0582i | −0.334827 | − | 1.50588i | ||||
\(543\) | 0.763768 | + | 0.763768i | 0.0327764 | + | 0.0327764i | ||||
\(544\) | −35.9229 | + | 11.4492i | −1.54018 | + | 0.490882i | ||||
\(545\) | 6.80648 | + | 5.18025i | 0.291557 | + | 0.221898i | ||||
\(546\) | 0.919429 | − | 1.44519i | 0.0393479 | − | 0.0618486i | ||||
\(547\) | −8.88146 | − | 5.93440i | −0.379744 | − | 0.253737i | 0.351019 | − | 0.936368i | \(-0.385835\pi\) |
−0.730763 | + | 0.682632i | \(0.760835\pi\) | |||||||
\(548\) | 11.0588 | − | 0.496604i | 0.472408 | − | 0.0212139i | ||||
\(549\) | 8.34851 | − | 5.57830i | 0.356306 | − | 0.238076i | ||||
\(550\) | −4.16438 | − | 5.09917i | −0.177570 | − | 0.217429i | ||||
\(551\) | −12.0691 | − | 4.99918i | −0.514161 | − | 0.212972i | ||||
\(552\) | 0.818732 | + | 1.65245i | 0.0348475 | + | 0.0703331i | ||||
\(553\) | −5.21522 | + | 12.5907i | −0.221774 | + | 0.535409i | ||||
\(554\) | 33.5653 | − | 0.753260i | 1.42605 | − | 0.0320030i | ||||
\(555\) | 1.00486 | + | 1.13674i | 0.0426537 | + | 0.0482518i | ||||
\(556\) | 6.20083 | + | 25.2050i | 0.262974 | + | 1.06893i | ||||
\(557\) | −4.35300 | − | 21.8840i | −0.184442 | − | 0.927254i | −0.956507 | − | 0.291710i | \(-0.905776\pi\) |
0.772064 | − | 0.635544i | \(-0.219224\pi\) | |||||||
\(558\) | −10.5000 | − | 1.84471i | −0.444501 | − | 0.0780928i | ||||
\(559\) | 6.21734 | − | 6.21734i | 0.262966 | − | 0.262966i | ||||
\(560\) | 25.5989 | + | 9.76583i | 1.08175 | + | 0.412682i | ||||
\(561\) | 0.372345 | + | 0.372345i | 0.0157204 | + | 0.0157204i | ||||
\(562\) | 11.2561 | + | 16.0541i | 0.474809 | + | 0.677202i | ||||
\(563\) | −6.02333 | + | 1.19811i | −0.253853 | + | 0.0504945i | −0.320376 | − | 0.947290i | \(-0.603809\pi\) |
0.0665232 | + | 0.997785i | \(0.478809\pi\) | |||||||
\(564\) | −0.259434 | + | 1.69961i | −0.0109241 | + | 0.0715666i | ||||
\(565\) | 2.05907 | − | 33.4363i | 0.0866255 | − | 1.40668i | ||||
\(566\) | 1.31660 | − | 1.37705i | 0.0553410 | − | 0.0578819i | ||||
\(567\) | 25.2874 | + | 10.4744i | 1.06197 | + | 0.439882i | ||||
\(568\) | −8.07257 | + | 14.0425i | −0.338717 | + | 0.589209i | ||||
\(569\) | 1.43954 | − | 3.47537i | 0.0603488 | − | 0.145695i | −0.890829 | − | 0.454339i | \(-0.849875\pi\) |
0.951177 | + | 0.308644i | \(0.0998753\pi\) | |||||||
\(570\) | 0.252025 | − | 1.05070i | 0.0105562 | − | 0.0440091i | ||||
\(571\) | −14.9601 | − | 22.3893i | −0.626059 | − | 0.936963i | −0.999955 | − | 0.00949271i | \(-0.996978\pi\) |
0.373896 | − | 0.927471i | \(-0.378022\pi\) | |||||||
\(572\) | −3.67673 | − | 7.85926i | −0.153732 | − | 0.328612i | ||||
\(573\) | 0.482129 | − | 0.721557i | 0.0201412 | − | 0.0301435i | ||||
\(574\) | 4.00114 | + | 17.9950i | 0.167004 | + | 0.751099i | ||||
\(575\) | 33.4223 | + | 18.9463i | 1.39381 | + | 0.790115i | ||||
\(576\) | −3.21357 | − | 23.7258i | −0.133899 | − | 0.988573i | ||||
\(577\) | −1.19597 | + | 1.19597i | −0.0497888 | + | 0.0497888i | −0.731563 | − | 0.681774i | \(-0.761209\pi\) |
0.681774 | + | 0.731563i | \(0.261209\pi\) | |||||||
\(578\) | 20.8173 | − | 32.7214i | 0.865885 | − | 1.36103i | ||||
\(579\) | −0.0173354 | − | 0.0871507i | −0.000720433 | − | 0.00362186i | ||||
\(580\) | 12.1958 | − | 7.85886i | 0.506405 | − | 0.326321i | ||||
\(581\) | −36.7284 | + | 24.5411i | −1.52375 | + | 1.01814i | ||||
\(582\) | −0.756138 | − | 0.293505i | −0.0313429 | − | 0.0121662i | ||||
\(583\) | −2.93108 | + | 1.21409i | −0.121393 | + | 0.0502826i | ||||
\(584\) | −29.2304 | − | 16.8036i | −1.20956 | − | 0.695338i | ||||
\(585\) | −26.9432 | + | 15.6978i | −1.11397 | + | 0.649022i | ||||
\(586\) | 20.9726 | + | 20.0519i | 0.866368 | + | 0.828336i | ||||
\(587\) | −19.9377 | − | 29.8389i | −0.822918 | − | 1.23158i | −0.970156 | − | 0.242482i | \(-0.922038\pi\) |
0.147238 | − | 0.989101i | \(-0.452962\pi\) | |||||||
\(588\) | 0.239589 | + | 0.325908i | 0.00988048 | + | 0.0134402i | ||||
\(589\) | 5.63489 | − | 8.43321i | 0.232182 | − | 0.347484i | ||||
\(590\) | −1.07996 | + | 27.6303i | −0.0444612 | + | 1.13752i | ||||
\(591\) | 0.151887 | − | 0.151887i | 0.00624781 | − | 0.00624781i | ||||
\(592\) | −24.8944 | + | 20.0818i | −1.02315 | + | 0.825357i | ||||
\(593\) | −41.7833 | −1.71583 | −0.857917 | − | 0.513789i | \(-0.828242\pi\) | ||||
−0.857917 | + | 0.513789i | \(0.828242\pi\) | |||||||
\(594\) | −0.548247 | + | 0.384395i | −0.0224949 | + | 0.0157719i | ||||
\(595\) | −43.1721 | + | 14.8452i | −1.76988 | + | 0.608594i | ||||
\(596\) | −7.06439 | − | 28.7152i | −0.289369 | − | 1.17622i | ||||
\(597\) | −0.351962 | − | 0.526748i | −0.0144048 | − | 0.0215584i | ||||
\(598\) | 36.5977 | + | 34.9912i | 1.49659 | + | 1.43090i | ||||
\(599\) | 8.49633 | + | 20.5119i | 0.347150 | + | 0.838095i | 0.996954 | + | 0.0779931i | \(0.0248512\pi\) |
−0.649803 | + | 0.760102i | \(0.725149\pi\) | |||||||
\(600\) | 0.800001 | + | 0.894472i | 0.0326599 | + | 0.0365167i | ||||
\(601\) | 3.90496 | − | 9.42742i | 0.159287 | − | 0.384552i | −0.824007 | − | 0.566580i | \(-0.808266\pi\) |
0.983293 | + | 0.182028i | \(0.0582661\pi\) | |||||||
\(602\) | 3.29694 | + | 7.48025i | 0.134373 | + | 0.304872i | ||||
\(603\) | −5.84438 | − | 1.16252i | −0.238002 | − | 0.0473415i | ||||
\(604\) | 19.1314 | + | 17.4871i | 0.778447 | + | 0.711538i | ||||
\(605\) | 20.3611 | + | 9.94127i | 0.827794 | + | 0.404170i | ||||
\(606\) | −1.03492 | − | 0.658411i | −0.0420406 | − | 0.0267461i | ||||
\(607\) | −6.96862 | + | 6.96862i | −0.282848 | + | 0.282848i | −0.834244 | − | 0.551396i | \(-0.814095\pi\) |
0.551396 | + | 0.834244i | \(0.314095\pi\) | |||||||
\(608\) | 21.8881 | + | 6.30610i | 0.887679 | + | 0.255746i | ||||
\(609\) | 0.843279 | 0.0341714 | ||||||||
\(610\) | −9.63563 | − | 4.43971i | −0.390135 | − | 0.179758i | ||||
\(611\) | 9.20934 | + | 46.2985i | 0.372570 | + | 1.87304i | ||||
\(612\) | 29.4467 | + | 26.9157i | 1.19031 | + | 1.08800i | ||||
\(613\) | −7.92200 | + | 39.8266i | −0.319967 | + | 1.60858i | 0.401316 | + | 0.915940i | \(0.368553\pi\) |
−0.721282 | + | 0.692641i | \(0.756447\pi\) | |||||||
\(614\) | 44.1487 | + | 17.1369i | 1.78170 | + | 0.691590i | ||||
\(615\) | −0.205896 | + | 0.780724i | −0.00830253 | + | 0.0314818i | ||||
\(616\) | 8.04858 | − | 0.542599i | 0.324287 | − | 0.0218619i | ||||
\(617\) | −37.4305 | − | 15.5042i | −1.50690 | − | 0.624177i | −0.531981 | − | 0.846756i | \(-0.678552\pi\) |
−0.974915 | + | 0.222580i | \(0.928552\pi\) | |||||||
\(618\) | −1.63140 | − | 1.55979i | −0.0656246 | − | 0.0627438i | ||||
\(619\) | −8.51350 | + | 42.8003i | −0.342187 | + | 1.72029i | 0.300173 | + | 0.953885i | \(0.402956\pi\) |
−0.642360 | + | 0.766403i | \(0.722044\pi\) | |||||||
\(620\) | 4.13711 | + | 10.4773i | 0.166150 | + | 0.420779i | ||||
\(621\) | 2.17081 | − | 3.24885i | 0.0871117 | − | 0.130372i | ||||
\(622\) | −5.25578 | − | 0.923370i | −0.210738 | − | 0.0370238i | ||||
\(623\) | 23.4411i | 0.939146i | ||||||||
\(624\) | 0.733772 | + | 1.40105i | 0.0293744 | + | 0.0560870i | ||||
\(625\) | 24.2473 | + | 6.08855i | 0.969890 | + | 0.243542i | ||||
\(626\) | 4.17384 | + | 0.733287i | 0.166820 | + | 0.0293080i | ||||
\(627\) | −0.0620640 | − | 0.312017i | −0.00247860 | − | 0.0124608i | ||||
\(628\) | 27.9108 | + | 4.26040i | 1.11376 | + | 0.170008i | ||||
\(629\) | 10.3973 | − | 52.2707i | 0.414567 | − | 2.08417i | ||||
\(630\) | −4.54098 | − | 28.6329i | −0.180917 | − | 1.14076i | ||||
\(631\) | −12.4461 | − | 30.0476i | −0.495472 | − | 1.19618i | −0.951898 | − | 0.306415i | \(-0.900871\pi\) |
0.456426 | − | 0.889762i | \(-0.349129\pi\) | |||||||
\(632\) | −7.67886 | − | 9.96876i | −0.305449 | − | 0.396536i | ||||
\(633\) | −0.469644 | − | 1.13382i | −0.0186667 | − | 0.0450653i | ||||
\(634\) | −8.57222 | + | 3.77822i | −0.340446 | + | 0.150052i | ||||
\(635\) | 26.8134 | + | 30.3325i | 1.06406 | + | 1.20371i | ||||
\(636\) | 0.523801 | − | 0.245045i | 0.0207701 | − | 0.00971668i | ||||
\(637\) | 9.23431 | + | 6.17017i | 0.365877 | + | 0.244471i | ||||
\(638\) | 2.29296 | − | 3.60417i | 0.0907792 | − | 0.142690i | ||||
\(639\) | 17.1388 | 0.677999 | ||||||||
\(640\) | −19.5977 | + | 15.9979i | −0.774666 | + | 0.632371i | ||||
\(641\) | 36.0649 | 1.42448 | 0.712239 | − | 0.701937i | \(-0.247681\pi\) | ||||
0.712239 | + | 0.701937i | \(0.247681\pi\) | |||||||
\(642\) | 0.296764 | − | 0.466465i | 0.0117123 | − | 0.0184099i | ||||
\(643\) | −37.6669 | − | 25.1682i | −1.48544 | − | 0.992539i | −0.992469 | − | 0.122492i | \(-0.960911\pi\) |
−0.492970 | − | 0.870047i | \(-0.664089\pi\) | |||||||
\(644\) | −42.6393 | + | 19.9476i | −1.68022 | + | 0.786044i | ||||
\(645\) | −0.0220071 | + | 0.357364i | −0.000866529 | + | 0.0140712i | ||||
\(646\) | −34.7310 | + | 15.3078i | −1.36647 | + | 0.602276i | ||||
\(647\) | −7.73249 | − | 18.6679i | −0.303996 | − | 0.733911i | −0.999876 | − | 0.0157527i | \(-0.994986\pi\) |
0.695880 | − | 0.718158i | \(-0.255014\pi\) | |||||||
\(648\) | −20.0215 | + | 15.4224i | −0.786518 | + | 0.605849i | ||||
\(649\) | 3.11555 | + | 7.52159i | 0.122296 | + | 0.295248i | ||||
\(650\) | 29.0207 | + | 15.6014i | 1.13828 | + | 0.611936i | ||||
\(651\) | −0.127730 | + | 0.642144i | −0.00500615 | + | 0.0251676i | ||||
\(652\) | −17.3215 | − | 2.64400i | −0.678362 | − | 0.103547i | ||||
\(653\) | −0.584230 | − | 2.93712i | −0.0228627 | − | 0.114939i | 0.967669 | − | 0.252224i | \(-0.0811621\pi\) |
−0.990531 | + | 0.137286i | \(0.956162\pi\) | |||||||
\(654\) | −0.452120 | − | 0.0794314i | −0.0176793 | − | 0.00310601i | ||||
\(655\) | 30.7422 | − | 4.17075i | 1.20120 | − | 0.162965i | ||||
\(656\) | −16.2462 | − | 5.07807i | −0.634309 | − | 0.198265i | ||||
\(657\) | 35.6755i | 1.39183i | ||||||||
\(658\) | −43.2253 | − | 7.59410i | −1.68510 | − | 0.296049i | ||||
\(659\) | −2.31363 | + | 3.46259i | −0.0901261 | + | 0.134883i | −0.873793 | − | 0.486298i | \(-0.838347\pi\) |
0.783667 | + | 0.621181i | \(0.213347\pi\) | |||||||
\(660\) | 0.324134 | + | 0.140620i | 0.0126169 | + | 0.00547361i | ||||
\(661\) | 2.38443 | − | 11.9873i | 0.0927434 | − | 0.466253i | −0.906304 | − | 0.422625i | \(-0.861109\pi\) |
0.999048 | − | 0.0436272i | \(-0.0138914\pi\) | |||||||
\(662\) | 1.82696 | + | 1.74676i | 0.0710068 | + | 0.0678898i | ||||
\(663\) | −2.43472 | − | 1.00849i | −0.0945566 | − | 0.0391666i | ||||
\(664\) | −2.74343 | − | 40.6944i | −0.106466 | − | 1.57925i | ||||
\(665\) | 26.6694 | + | 7.03339i | 1.03420 | + | 0.272743i | ||||
\(666\) | 31.5499 | + | 12.2465i | 1.22253 | + | 0.474543i | ||||
\(667\) | −4.86320 | + | 24.4489i | −0.188304 | + | 0.946667i | ||||
\(668\) | −27.1644 | − | 24.8296i | −1.05102 | − | 0.960686i | ||||
\(669\) | −0.0222991 | − | 0.112105i | −0.000862135 | − | 0.00433424i | ||||
\(670\) | 2.18047 | + | 5.90671i | 0.0842388 | + | 0.228196i | ||||
\(671\) | −3.12365 | −0.120587 | ||||||||
\(672\) | −1.46115 | + | 0.164617i | −0.0563653 | + | 0.00635025i | ||||
\(673\) | −5.53608 | + | 5.53608i | −0.213400 | + | 0.213400i | −0.805710 | − | 0.592310i | \(-0.798216\pi\) |
0.592310 | + | 0.805710i | \(0.298216\pi\) | |||||||
\(674\) | −30.7437 | − | 19.5591i | −1.18420 | − | 0.753387i | ||||
\(675\) | 0.798267 | − | 2.41404i | 0.0307253 | − | 0.0929165i | ||||
\(676\) | 12.8610 | + | 11.7555i | 0.494653 | + | 0.452136i | ||||
\(677\) | 10.4510 | + | 2.07883i | 0.401663 | + | 0.0798958i | 0.391788 | − | 0.920055i | \(-0.371857\pi\) |
0.00987520 | + | 0.999951i | \(0.496857\pi\) | |||||||
\(678\) | 0.725093 | + | 1.64513i | 0.0278470 | + | 0.0631807i | ||||
\(679\) | 7.92327 | − | 19.1285i | 0.304067 | − | 0.734083i | ||||
\(680\) | 7.98343 | − | 41.3907i | 0.306150 | − | 1.58726i | ||||
\(681\) | 0.613516 | + | 1.48116i | 0.0235100 | + | 0.0567581i | ||||
\(682\) | 2.39720 | + | 2.29197i | 0.0917937 | + | 0.0877641i | ||||
\(683\) | 12.3482 | + | 18.4803i | 0.472489 | + | 0.707130i | 0.988796 | − | 0.149273i | \(-0.0476935\pi\) |
−0.516306 | + | 0.856404i | \(0.672693\pi\) | |||||||
\(684\) | −5.75782 | − | 23.4043i | −0.220156 | − | 0.894886i | ||||
\(685\) | −5.43017 | + | 11.1217i | −0.207476 | + | 0.424938i | ||||
\(686\) | 16.3753 | − | 11.4813i | 0.625211 | − | 0.438356i | ||||
\(687\) | −0.656194 | −0.0250354 | ||||||||
\(688\) | −7.50512 | − | 0.803075i | −0.286130 | − | 0.0306170i | ||||
\(689\) | 11.2272 | − | 11.2272i | 0.427720 | − | 0.427720i | ||||
\(690\) | −2.06026 | − | 0.0805274i | −0.0784327 | − | 0.00306563i | ||||
\(691\) | −12.0450 | + | 18.0266i | −0.458213 | + | 0.685764i | −0.986585 | − | 0.163249i | \(-0.947803\pi\) |
0.528372 | + | 0.849013i | \(0.322803\pi\) | |||||||
\(692\) | 2.87329 | + | 3.90849i | 0.109226 | + | 0.148578i | ||||
\(693\) | −4.74216 | − | 7.09714i | −0.180140 | − | 0.269598i | ||||
\(694\) | −27.7956 | − | 26.5755i | −1.05511 | − | 1.00879i | ||||
\(695\) | −28.0609 | − | 7.40034i | −1.06441 | − | 0.280711i | ||||
\(696\) | −0.388061 | + | 0.675044i | −0.0147094 | + | 0.0255875i | ||||
\(697\) | 26.2032 | − | 10.8537i | 0.992517 | − | 0.411114i | ||||
\(698\) | 1.48099 | + | 0.574867i | 0.0560563 | + | 0.0217590i | ||||
\(699\) | −0.922838 | + | 0.616621i | −0.0349049 | + | 0.0233227i | ||||
\(700\) | −23.2850 | + | 19.9037i | −0.880089 | + | 0.752288i | ||||
\(701\) | 6.21168 | + | 31.2282i | 0.234612 | + | 1.17947i | 0.900983 | + | 0.433854i | \(0.142847\pi\) |
−0.666371 | + | 0.745620i | \(0.732153\pi\) | |||||||
\(702\) | 1.79873 | − | 2.82732i | 0.0678887 | − | 0.106710i | ||||
\(703\) | −22.7674 | + | 22.7674i | −0.858689 | + | 0.858689i | ||||
\(704\) | −3.26945 | + | 6.69257i | −0.123222 | + | 0.252236i | ||||
\(705\) | −1.52962 | − | 1.16416i | −0.0576087 | − | 0.0438446i | ||||
\(706\) | 6.20685 | + | 27.9152i | 0.233598 | + | 1.05060i | ||||
\(707\) | 17.3953 | − | 26.0339i | 0.654217 | − | 0.979105i | ||||
\(708\) | −0.628824 | − | 1.34415i | −0.0236326 | − | 0.0505164i | ||||
\(709\) | −17.9210 | − | 26.8206i | −0.673036 | − | 1.00727i | −0.998102 | − | 0.0615778i | \(-0.980387\pi\) |
0.325067 | − | 0.945691i | \(-0.394613\pi\) | |||||||
\(710\) | −9.46523 | − | 15.4388i | −0.355224 | − | 0.579407i | ||||
\(711\) | −5.09529 | + | 12.3011i | −0.191088 | + | 0.461328i | ||||
\(712\) | −18.7645 | − | 10.7871i | −0.703230 | − | 0.404264i | ||||
\(713\) | −17.8809 | − | 7.40650i | −0.669644 | − | 0.277375i | ||||
\(714\) | 1.69316 | − | 1.77090i | 0.0633649 | − | 0.0662742i | ||||
\(715\) | 9.68257 | + | 0.596269i | 0.362108 | + | 0.0222992i | ||||
\(716\) | 0.254516 | − | 1.66739i | 0.00951171 | − | 0.0623134i | ||||
\(717\) | 0.453119 | − | 0.0901310i | 0.0169220 | − | 0.00336600i | ||||
\(718\) | −4.72050 | − | 6.73267i | −0.176168 | − | 0.251261i | ||||
\(719\) | −1.30661 | − | 1.30661i | −0.0487284 | − | 0.0487284i | 0.682323 | − | 0.731051i | \(-0.260970\pi\) |
−0.731051 | + | 0.682323i | \(0.760970\pi\) | |||||||
\(720\) | 25.0102 | + | 9.54125i | 0.932077 | + | 0.355582i | ||||
\(721\) | 40.7399 | − | 40.7399i | 1.51723 | − | 1.51723i | ||||
\(722\) | −3.88025 | − | 0.681708i | −0.144408 | − | 0.0253705i | ||||
\(723\) | 0.000472607 | 0.00237596i | 1.75765e−5 | 8.83628e-5i | ||||||
\(724\) | −6.08178 | − | 24.7211i | −0.226028 | − | 0.918753i | ||||
\(725\) | 1.18862 | + | 16.1775i | 0.0441441 | + | 0.600819i | ||||
\(726\) | −1.21570 | + | 0.0272824i | −0.0451190 | + | 0.00101254i | ||||
\(727\) | 0.180364 | − | 0.435437i | 0.00668933 | − | 0.0161495i | −0.920500 | − | 0.390744i | \(-0.872218\pi\) |
0.927189 | + | 0.374594i | \(0.122218\pi\) | |||||||
\(728\) | −36.1749 | + | 17.9234i | −1.34073 | + | 0.664285i | ||||
\(729\) | 24.5862 | + | 10.1840i | 0.910602 | + | 0.377183i | ||||
\(730\) | 32.1369 | − | 19.7025i | 1.18944 | − | 0.729223i | ||||
\(731\) | 10.4573 | − | 6.98736i | 0.386778 | − | 0.258437i | ||||
\(732\) | 0.568795 | − | 0.0255423i | 0.0210233 | − | 0.000944069i | ||||
\(733\) | −4.74074 | − | 3.16766i | −0.175103 | − | 0.117000i | 0.464930 | − | 0.885347i | \(-0.346079\pi\) |
−0.640033 | + | 0.768347i | \(0.721079\pi\) | |||||||
\(734\) | 20.1988 | − | 31.7493i | 0.745551 | − | 1.17189i | ||||
\(735\) | −0.448137 | + | 0.0607983i | −0.0165298 | + | 0.00224258i | ||||
\(736\) | 3.65379 | − | 43.3122i | 0.134681 | − | 1.59651i | ||||
\(737\) | 1.31084 | + | 1.31084i | 0.0482854 | + | 0.0482854i | ||||
\(738\) | 3.90912 | + | 17.5812i | 0.143897 | + | 0.647174i | ||||
\(739\) | −20.0648 | + | 3.99113i | −0.738095 | + | 0.146816i | −0.549800 | − | 0.835296i | \(-0.685296\pi\) |
−0.188295 | + | 0.982113i | \(0.560296\pi\) | |||||||
\(740\) | −6.39226 | − | 35.1839i | −0.234984 | − | 1.29338i | ||||
\(741\) | 0.884537 | + | 1.32380i | 0.0324943 | + | 0.0486311i | ||||
\(742\) | 5.95354 | + | 13.5077i | 0.218561 | + | 0.495883i | ||||
\(743\) | −14.6070 | − | 35.2645i | −0.535880 | − | 1.29373i | −0.927576 | − | 0.373635i | \(-0.878111\pi\) |
0.391695 | − | 0.920095i | \(-0.371889\pi\) | |||||||
\(744\) | −0.455256 | − | 0.397750i | −0.0166905 | − | 0.0145822i | ||||
\(745\) | 31.9688 | + | 8.43095i | 1.17125 | + | 0.308886i | ||||
\(746\) | −7.66390 | + | 0.171991i | −0.280595 | + | 0.00629702i | ||||
\(747\) | −35.8838 | + | 23.9768i | −1.31292 | + | 0.877264i | ||||
\(748\) | −2.96493 | − | 12.0518i | −0.108409 | − | 0.440657i | ||||
\(749\) | 11.7342 | + | 7.84053i | 0.428758 | + | 0.286487i | ||||
\(750\) | −1.30616 | + | 0.306689i | −0.0476941 | + | 0.0111987i | ||||
\(751\) | −36.0273 | − | 36.0273i | −1.31465 | − | 1.31465i | −0.917944 | − | 0.396710i | \(-0.870152\pi\) |
−0.396710 | − | 0.917944i | \(-0.629848\pi\) | |||||||
\(752\) | 25.9705 | − | 31.1071i | 0.947048 | − | 1.13436i | ||||
\(753\) | 1.89984i | 0.0692339i | ||||||||
\(754\) | −3.69925 | + | 21.0560i | −0.134719 | + | 0.766814i | ||||
\(755\) | −27.4038 | + | 9.42308i | −0.997326 | + | 0.342941i | ||||
\(756\) | 1.84531 | + | 2.51014i | 0.0671133 | + | 0.0912930i | ||||
\(757\) | −18.5423 | + | 12.3896i | −0.673932 | + | 0.450307i | −0.844868 | − | 0.534975i | \(-0.820321\pi\) |
0.170936 | + | 0.985282i | \(0.445321\pi\) | |||||||
\(758\) | 0.0962464 | + | 4.28874i | 0.00349583 | + | 0.155774i | ||||
\(759\) | −0.560850 | + | 0.232311i | −0.0203575 | + | 0.00843237i | ||||
\(760\) | −17.9030 | + | 18.1122i | −0.649409 | + | 0.656999i | ||||
\(761\) | −4.11664 | − | 1.70517i | −0.149228 | − | 0.0618123i | 0.306819 | − | 0.951768i | \(-0.400735\pi\) |
−0.456047 | + | 0.889955i | \(0.650735\pi\) | |||||||
\(762\) | −2.02546 | − | 0.786212i | −0.0733748 | − | 0.0284814i | ||||
\(763\) | 2.28601 | − | 11.4926i | 0.0827592 | − | 0.416058i | ||||
\(764\) | −18.5268 | + | 8.66721i | −0.670275 | + | 0.313569i | ||||
\(765\) | −42.1793 | + | 14.5038i | −1.52500 | + | 0.524386i | ||||
\(766\) | 4.08822 | + | 18.3867i | 0.147713 | + | 0.664338i | ||||
\(767\) | −28.8106 | − | 28.8106i | −1.04029 | − | 1.04029i | ||||
\(768\) | 0.540620 | − | 1.24541i | 0.0195079 | − | 0.0449397i | ||||
\(769\) | 3.83582i | 0.138323i | 0.997605 | + | 0.0691615i | \(0.0220324\pi\) | ||||
−0.997605 | + | 0.0691615i | \(0.977968\pi\) | |||||||
\(770\) | −3.77423 | + | 8.19133i | −0.136014 | + | 0.295195i | ||||
\(771\) | −1.86041 | + | 0.370059i | −0.0670011 | + | 0.0133273i | ||||
\(772\) | −0.713863 | + | 1.96893i | −0.0256925 | + | 0.0708633i | ||||
\(773\) | −29.0385 | − | 5.77612i | −1.04444 | − | 0.207753i | −0.357086 | − | 0.934072i | \(-0.616230\pi\) |
−0.687358 | + | 0.726319i | \(0.741230\pi\) | |||||||
\(774\) | 3.22112 | + | 7.30823i | 0.115781 | + | 0.262689i | ||||
\(775\) | −12.4990 | − | 1.54528i | −0.448976 | − | 0.0555080i | ||||
\(776\) | 11.6662 | + | 15.1451i | 0.418791 | + | 0.543678i | ||||
\(777\) | 0.795390 | − | 1.92024i | 0.0285345 | − | 0.0688883i | ||||
\(778\) | −44.4645 | + | 0.997857i | −1.59413 | + | 0.0357749i | ||||
\(779\) | −16.8057 | − | 3.34286i | −0.602127 | − | 0.119771i | ||||
\(780\) | −1.76801 | − | 0.0294016i | −0.0633048 | − | 0.00105275i | ||||
\(781\) | −4.43329 | − | 2.96223i | −0.158635 | − | 0.105997i | ||||
\(782\) | 41.5787 | + | 59.3020i | 1.48685 | + | 2.12064i | ||||
\(783\) | 1.64976 | 0.0589575 | ||||||||
\(784\) | −0.854528 | − | 9.49547i | −0.0305189 | − | 0.339124i | ||||
\(785\) | −19.1176 | + | 25.1192i | −0.682338 | + | 0.896542i | ||||
\(786\) | −1.36326 | + | 0.955828i | −0.0486259 | + | 0.0340933i | ||||
\(787\) | 7.82146 | − | 1.55579i | 0.278805 | − | 0.0554578i | −0.0537072 | − | 0.998557i | \(-0.517104\pi\) |
0.332512 | + | 0.943099i | \(0.392104\pi\) | |||||||
\(788\) | −4.91618 | + | 1.20946i | −0.175132 | + | 0.0430851i | ||||
\(789\) | 1.44946 | + | 0.288316i | 0.0516021 | + | 0.0102643i | ||||
\(790\) | 13.8950 | − | 2.20365i | 0.494361 | − | 0.0784023i | ||||
\(791\) | −42.3987 | + | 17.5621i | −1.50752 | + | 0.624437i | ||||
\(792\) | 7.86349 | − | 0.530121i | 0.279417 | − | 0.0188370i | ||||
\(793\) | 14.4428 | − | 5.98239i | 0.512878 | − | 0.212441i | ||||
\(794\) | −9.27884 | + | 23.9045i | −0.329294 | + | 0.848337i | ||||
\(795\) | −0.0397400 | + | 0.645321i | −0.00140943 | + | 0.0228872i | ||||
\(796\) | 0.669844 | + | 14.9166i | 0.0237420 | + | 0.528706i | ||||
\(797\) | 10.9400 | − | 16.3729i | 0.387515 | − | 0.579957i | −0.585508 | − | 0.810667i | \(-0.699105\pi\) |
0.973023 | + | 0.230710i | \(0.0741048\pi\) | |||||||
\(798\) | −1.44492 | + | 0.321274i | −0.0511497 | + | 0.0113730i | ||||
\(799\) | 67.5223i | 2.38877i | ||||||||
\(800\) | −5.21755 | − | 27.7989i | −0.184468 | − | 0.982838i | ||||
\(801\) | 22.9020i | 0.809202i | ||||||||
\(802\) | 4.25666 | + | 19.1443i | 0.150308 | + | 0.676007i | ||||
\(803\) | 6.16607 | − | 9.22818i | 0.217596 | − | 0.325655i | ||||
\(804\) | −0.249414 | − | 0.227976i | −0.00879614 | − | 0.00804009i | ||||
\(805\) | 3.23498 | − | 52.5315i | 0.114018 | − | 1.85149i | ||||
\(806\) | −15.4735 | − | 6.00624i | −0.545030 | − | 0.211561i | ||||
\(807\) | −1.48663 | + | 0.615784i | −0.0523320 | + | 0.0216766i | ||||
\(808\) | 12.8351 | + | 25.9052i | 0.451537 | + | 0.911341i | ||||
\(809\) | −13.7345 | + | 5.68901i | −0.482879 | + | 0.200015i | −0.610824 | − | 0.791766i | \(-0.709162\pi\) |
0.127945 | + | 0.991781i | \(0.459162\pi\) | |||||||
\(810\) | −4.42586 | − | 27.9070i | −0.155509 | − | 0.980551i | ||||
\(811\) | 34.0928 | + | 6.78147i | 1.19716 | + | 0.238130i | 0.753123 | − | 0.657879i | \(-0.228546\pi\) |
0.444036 | + | 0.896009i | \(0.353546\pi\) | |||||||
\(812\) | −17.0048 | − | 10.2899i | −0.596751 | − | 0.361104i | ||||
\(813\) | −2.11352 | + | 0.420404i | −0.0741242 | + | 0.0147442i | ||||
\(814\) | −6.04435 | − | 8.62082i | −0.211854 | − | 0.302159i | ||||
\(815\) | 11.8644 | − | 15.5890i | 0.415592 | − | 0.546058i | ||||
\(816\) | 0.638442 | + | 2.17030i | 0.0223499 | + | 0.0759759i | ||||
\(817\) | −7.59833 | −0.265832 | ||||||||
\(818\) | 6.91862 | − | 4.85088i | 0.241904 | − | 0.169607i | ||||
\(819\) | 35.5186 | + | 23.7328i | 1.24112 | + | 0.829290i | ||||
\(820\) | 13.6785 | − | 13.2310i | 0.477673 | − | 0.462046i | ||||
\(821\) | −32.3869 | − | 6.44215i | −1.13031 | − | 0.224833i | −0.405710 | − | 0.914002i | \(-0.632976\pi\) |
−0.724600 | + | 0.689169i | \(0.757976\pi\) | |||||||
\(822\) | −0.0149023 | − | 0.664047i | −0.000519777 | − | 0.0231613i | ||||
\(823\) | −11.0732 | + | 26.7332i | −0.385989 | + | 0.931860i | 0.604791 | + | 0.796384i | \(0.293256\pi\) |
−0.990781 | + | 0.135476i | \(0.956744\pi\) | |||||||
\(824\) | 13.8645 | + | 51.3599i | 0.482992 | + | 1.78921i | ||||
\(825\) | −0.311488 | + | 0.242943i | −0.0108446 | + | 0.00845817i | ||||
\(826\) | 34.6628 | − | 15.2777i | 1.20607 | − | 0.531579i | ||||
\(827\) | −26.7541 | − | 5.32172i | −0.930331 | − | 0.185054i | −0.293413 | − | 0.955986i | \(-0.594791\pi\) |
−0.636918 | + | 0.770931i | \(0.719791\pi\) | |||||||
\(828\) | −41.6587 | + | 19.4888i | −1.44774 | + | 0.677284i | ||||
\(829\) | 34.9243 | − | 6.94688i | 1.21297 | − | 0.241275i | 0.453166 | − | 0.891426i | \(-0.350294\pi\) |
0.759805 | + | 0.650151i | \(0.225294\pi\) | |||||||
\(830\) | 41.4161 | + | 19.0828i | 1.43757 | + | 0.662375i | ||||
\(831\) | − | 2.01448i | − | 0.0698816i | ||||||
\(832\) | 2.29936 | − | 37.2059i | 0.0797159 | − | 1.28988i | ||||
\(833\) | 11.2330 | + | 11.2330i | 0.389202 | + | 0.389202i | ||||
\(834\) | 1.52031 | − | 0.338036i | 0.0526440 | − | 0.0117052i | ||||
\(835\) | 38.9102 | − | 13.3797i | 1.34654 | − | 0.463023i | ||||
\(836\) | −2.55577 | + | 7.04916i | −0.0883932 | + | 0.243800i | ||||
\(837\) | −0.249886 | + | 1.25626i | −0.00863733 | + | 0.0434228i | ||||
\(838\) | −4.02935 | + | 10.3805i | −0.139192 | + | 0.358590i | ||||
\(839\) | 34.4527 | + | 14.2708i | 1.18944 | + | 0.492682i | 0.887573 | − | 0.460667i | \(-0.152390\pi\) |
0.301868 | + | 0.953350i | \(0.402390\pi\) | |||||||
\(840\) | 0.620280 | − | 1.52245i | 0.0214017 | − | 0.0525294i | ||||
\(841\) | 17.0687 | − | 7.07007i | 0.588574 | − | 0.243796i | ||||
\(842\) | −44.2493 | + | 0.993026i | −1.52493 | + | 0.0342219i | ||||
\(843\) | 0.978184 | − | 0.653602i | 0.0336904 | − | 0.0225112i | ||||
\(844\) | −4.36471 | + | 28.5943i | −0.150240 | + | 0.984255i | ||||
\(845\) | −18.4220 | + | 6.33460i | −0.633736 | + | 0.217917i | ||||
\(846\) | −42.2313 | − | 7.41946i | −1.45194 | − | 0.255086i | ||||
\(847\) | − | 31.0402i | − | 1.06656i | ||||||
\(848\) | −13.5526 | − | 1.45018i | −0.465398 | − | 0.0497993i | ||||
\(849\) | −0.0808324 | − | 0.0808324i | −0.00277416 | − | 0.00277416i | ||||
\(850\) | 36.3596 | + | 29.9856i | 1.24712 | + | 1.02850i | ||||
\(851\) | 51.0860 | + | 34.1345i | 1.75120 | + | 1.17012i | ||||
\(852\) | 0.831493 | + | 0.503150i | 0.0284865 | + | 0.0172376i | ||||
\(853\) | −20.4928 | + | 13.6928i | −0.701659 | + | 0.468833i | −0.854523 | − | 0.519414i | \(-0.826150\pi\) |
0.152864 | + | 0.988247i | \(0.451150\pi\) | |||||||
\(854\) | 0.326082 | + | 14.5302i | 0.0111583 | + | 0.497214i | ||||
\(855\) | 26.0561 | + | 6.87164i | 0.891101 | + | 0.235005i | ||||
\(856\) | −11.6762 | + | 5.78513i | −0.399084 | + | 0.197732i | ||||
\(857\) | −20.1926 | − | 48.7494i | −0.689768 | − | 1.66525i | −0.745248 | − | 0.666787i | \(-0.767669\pi\) |
0.0554806 | − | 0.998460i | \(-0.482331\pi\) | |||||||
\(858\) | −0.476400 | + | 0.209974i | −0.0162640 | + | 0.00716840i | ||||
\(859\) | −7.99355 | − | 11.9632i | −0.272736 | − | 0.408179i | 0.669665 | − | 0.742663i | \(-0.266438\pi\) |
−0.942401 | + | 0.334485i | \(0.891438\pi\) | |||||||
\(860\) | 4.80441 | − | 6.93775i | 0.163829 | − | 0.236575i | ||||
\(861\) | 1.08485 | − | 0.215790i | 0.0369715 | − | 0.00735409i | ||||
\(862\) | 33.7922 | − | 7.51358i | 1.15097 | − | 0.255913i | ||||
\(863\) | 18.5629 | + | 18.5629i | 0.631890 | + | 0.631890i | 0.948542 | − | 0.316652i | \(-0.102559\pi\) |
−0.316652 | + | 0.948542i | \(0.602559\pi\) | |||||||
\(864\) | −2.85854 | + | 0.322050i | −0.0972495 | + | 0.0109564i | ||||
\(865\) | −5.37433 | + | 0.729130i | −0.182733 | + | 0.0247911i | ||||
\(866\) | −22.8460 | − | 14.5346i | −0.776339 | − | 0.493905i | ||||
\(867\) | −1.93482 | − | 1.29281i | −0.0657100 | − | 0.0439060i | ||||
\(868\) | 10.4113 | − | 11.3903i | 0.353381 | − | 0.386611i | ||||
\(869\) | 3.44410 | − | 2.30127i | 0.116833 | − | 0.0780654i | ||||
\(870\) | −0.455008 | − | 0.742167i | −0.0154262 | − | 0.0251618i | ||||
\(871\) | −8.57141 | − | 3.55040i | −0.290431 | − | 0.120301i | ||||
\(872\) | 8.14779 | + | 7.11860i | 0.275919 | + | 0.241066i | ||||
\(873\) | 7.74106 | − | 18.6886i | 0.261995 | − | 0.632512i | ||||
\(874\) | −0.981710 | − | 43.7450i | −0.0332068 | − | 1.47970i | ||||
\(875\) | −7.07862 | − | 33.5086i | −0.239301 | − | 1.13280i | ||||
\(876\) | −1.04734 | + | 1.73081i | −0.0353863 | + | 0.0584786i | ||||
\(877\) | −7.73927 | − | 38.9079i | −0.261337 | − | 1.31383i | −0.858957 | − | 0.512049i | \(-0.828887\pi\) |
0.597620 | − | 0.801780i | \(-0.296113\pi\) | |||||||
\(878\) | −2.89963 | + | 16.5046i | −0.0978579 | + | 0.557003i | ||||
\(879\) | 1.23108 | − | 1.23108i | 0.0415232 | − | 0.0415232i | ||||
\(880\) | −4.82031 | − | 6.79076i | −0.162493 | − | 0.228916i | ||||
\(881\) | −13.1168 | − | 13.1168i | −0.441917 | − | 0.441917i | 0.450739 | − | 0.892656i | \(-0.351161\pi\) |
−0.892656 | + | 0.450739i | \(0.851161\pi\) | |||||||
\(882\) | −8.25993 | + | 5.79131i | −0.278126 | + | 0.195004i | ||||
\(883\) | −46.3009 | + | 9.20982i | −1.55815 | + | 0.309935i | −0.897587 | − | 0.440837i | \(-0.854682\pi\) |
−0.660561 | + | 0.750772i | \(0.729682\pi\) | |||||||
\(884\) | 36.7904 | + | 50.0453i | 1.23739 | + | 1.68320i | ||||
\(885\) | 1.65599 | + | 0.101979i | 0.0556656 | + | 0.00342798i | ||||
\(886\) | −10.7811 | − | 10.3078i | −0.362198 | − | 0.346298i | ||||
\(887\) | −10.2223 | − | 4.23424i | −0.343233 | − | 0.142172i | 0.204407 | − | 0.978886i | \(-0.434473\pi\) |
−0.547640 | + | 0.836714i | \(0.684473\pi\) | |||||||
\(888\) | 1.17113 | + | 1.52037i | 0.0393004 | + | 0.0510202i | ||||
\(889\) | 21.2240 | − | 51.2393i | 0.711831 | − | 1.71851i | ||||
\(890\) | 20.6304 | − | 12.6481i | 0.691532 | − | 0.423965i | ||||
\(891\) | −4.62193 | − | 6.91720i | −0.154840 | − | 0.231735i | ||||
\(892\) | −0.918269 | + | 2.53271i | −0.0307459 | + | 0.0848014i | ||||
\(893\) | 22.6636 | − | 33.9185i | 0.758410 | − | 1.13504i | ||||
\(894\) | −1.73204 | + | 0.385112i | −0.0579280 | + | 0.0128801i | ||||
\(895\) | 1.50062 | + | 1.14209i | 0.0501602 | + | 0.0381758i | ||||
\(896\) | 31.4730 | + | 14.5098i | 1.05144 | + | 0.484738i | ||||
\(897\) | 2.14827 | − | 2.14827i | 0.0717286 | − | 0.0717286i | ||||
\(898\) | 12.3764 | + | 7.87383i | 0.413006 | + | 0.262753i | ||||
\(899\) | −1.59421 | − | 8.01463i | −0.0531699 | − | 0.267303i | ||||
\(900\) | −22.7495 | + | 19.4460i | −0.758317 | + | 0.648198i | ||||
\(901\) | 18.8836 | − | 12.6176i | 0.629104 | − | 0.420354i | ||||
\(902\) | 2.02753 | − | 5.22338i | 0.0675093 | − | 0.173920i | ||||
\(903\) | 0.453153 | − | 0.187702i | 0.0150800 | − | 0.00624634i | ||||
\(904\) | 5.45262 | − | 42.0218i | 0.181351 | − | 1.39762i | ||||
\(905\) | 27.5222 | + | 7.25827i | 0.914867 | + | 0.241273i | ||||
\(906\) | 1.07474 | − | 1.12409i | 0.0357060 | − | 0.0373454i | ||||
\(907\) | 20.7812 | + | 31.1013i | 0.690029 | + | 1.03270i | 0.996723 | + | 0.0808927i | \(0.0257771\pi\) |
−0.306694 | + | 0.951808i | \(0.599223\pi\) | |||||||
\(908\) | 5.70181 | − | 37.3539i | 0.189221 | − | 1.23963i | ||||
\(909\) | 16.9952 | − | 25.4352i | 0.563697 | − | 0.843632i | ||||
\(910\) | 1.76288 | − | 45.1025i | 0.0584388 | − | 1.49513i | ||||
\(911\) | 17.1096 | − | 17.1096i | 0.566868 | − | 0.566868i | −0.364382 | − | 0.931250i | \(-0.618720\pi\) |
0.931250 | + | 0.364382i | \(0.118720\pi\) | |||||||
\(912\) | 0.407747 | − | 1.30450i | 0.0135019 | − | 0.0431964i | ||||
\(913\) | 13.4262 | 0.444341 | ||||||||
\(914\) | 2.14302 | + | 3.05651i | 0.0708848 | + | 0.101100i | ||||
\(915\) | −0.279294 | + | 0.572032i | −0.00923318 | + | 0.0189108i | ||||
\(916\) | 13.2322 | + | 8.00702i | 0.437204 | + | 0.264559i | ||||
\(917\) | −23.6119 | − | 35.3377i | −0.779733 | − | 1.16695i | ||||
\(918\) | 3.31242 | − | 3.46451i | 0.109326 | − | 0.114346i | ||||
\(919\) | −17.1765 | − | 41.4676i | −0.566599 | − | 1.36789i | −0.904405 | − | 0.426675i | \(-0.859685\pi\) |
0.337806 | − | 0.941216i | \(-0.390315\pi\) | |||||||
\(920\) | 40.5627 | + | 26.7636i | 1.33731 | + | 0.882368i | ||||
\(921\) | 1.08742 | − | 2.62526i | 0.0358317 | − | 0.0865053i | ||||
\(922\) | −10.2548 | + | 4.51984i | −0.337725 | + | 0.148853i | ||||
\(923\) | 26.1713 | + | 5.20580i | 0.861440 | + | 0.171351i | ||||
\(924\) | −0.0217137 | − | 0.483538i | −0.000714328 | − | 0.0159072i | ||||
\(925\) | 37.9592 | + | 12.5522i | 1.24809 | + | 0.412714i | ||||
\(926\) | −8.69935 | + | 13.6740i | −0.285878 | + | 0.449355i | ||||
\(927\) | 39.8030 | − | 39.8030i | 1.30730 | − | 1.30730i | ||||
\(928\) | 16.0623 | − | 8.87710i | 0.527271 | − | 0.291405i | ||||
\(929\) | −40.0346 | −1.31349 | −0.656747 | − | 0.754111i | \(-0.728068\pi\) | ||||
−0.656747 | + | 0.754111i | \(0.728068\pi\) | |||||||
\(930\) | 0.634068 | − | 0.234067i | 0.0207919 | − | 0.00767535i | ||||
\(931\) | −1.87237 | − | 9.41304i | −0.0613645 | − | 0.308500i | ||||
\(932\) | 26.1332 | − | 1.17354i | 0.856022 | − | 0.0384404i | ||||
\(933\) | −0.0624652 | + | 0.314034i | −0.00204502 | + | 0.0102810i | ||||
\(934\) | 9.70375 | − | 24.9991i | 0.317516 | − | 0.817996i | ||||
\(935\) | 13.4173 | + | 3.53848i | 0.438794 | + | 0.115721i | ||||
\(936\) | −35.3430 | + | 17.5112i | −1.15522 | + | 0.572372i | ||||
\(937\) | 5.97175 | + | 2.47358i | 0.195088 | + | 0.0808083i | 0.478089 | − | 0.878312i | \(-0.341330\pi\) |
−0.283000 | + | 0.959120i | \(0.591330\pi\) | |||||||
\(938\) | 5.96076 | − | 6.23444i | 0.194626 | − | 0.203562i | ||||
\(939\) | 0.0496062 | − | 0.249387i | 0.00161884 | − | 0.00813844i | ||||
\(940\) | 16.6395 | + | 42.1400i | 0.542722 | + | 1.37445i | ||||
\(941\) | 7.04350 | − | 10.5413i | 0.229611 | − | 0.343638i | −0.698717 | − | 0.715398i | \(-0.746246\pi\) |
0.928329 | + | 0.371760i | \(0.121246\pi\) | |||||||
\(942\) | 0.293140 | − | 1.66854i | 0.00955102 | − | 0.0543640i | ||||
\(943\) | 32.6971i | 1.06476i | ||||||||
\(944\) | −3.72137 | + | 34.7780i | −0.121120 | + | 1.13193i | ||||
\(945\) | −3.45155 | + | 0.468268i | −0.112279 | + | 0.0152328i | ||||
\(946\) | 0.429932 | − | 2.44715i | 0.0139783 | − | 0.0795638i | ||||
\(947\) | 0.555859 | + | 2.79449i | 0.0180630 | + | 0.0908087i | 0.988765 | − | 0.149477i | \(-0.0477589\pi\) |
−0.970702 | + | 0.240286i | \(0.922759\pi\) | |||||||
\(948\) | −0.608329 | + | 0.447209i | −0.0197576 | + | 0.0145247i | ||||
\(949\) | −10.8362 | + | 54.4774i | −0.351759 | + | 1.76841i | ||||
\(950\) | −8.19998 | − | 27.2667i | −0.266043 | − | 0.884648i | ||||
\(951\) | 0.215103 | + | 0.519304i | 0.00697519 | + | 0.0168396i | ||||
\(952\) | −55.7516 | + | 15.0500i | −1.80692 | + | 0.487774i | ||||
\(953\) | 18.3031 | + | 44.1876i | 0.592896 | + | 1.43138i | 0.880694 | + | 0.473686i | \(0.157077\pi\) |
−0.287798 | + | 0.957691i | \(0.592923\pi\) | |||||||
\(954\) | 5.81663 | + | 13.1971i | 0.188320 | + | 0.427271i | ||||
\(955\) | 1.40560 | − | 22.8249i | 0.0454840 | − | 0.738597i | ||||
\(956\) | −10.2370 | − | 3.71156i | −0.331088 | − | 0.120040i | ||||
\(957\) | −0.213115 | − | 0.142399i | −0.00688903 | − | 0.00460310i | ||||
\(958\) | 14.0028 | + | 8.90856i | 0.452411 | + | 0.287822i | ||||
\(959\) | 16.9549 | 0.547503 | ||||||||
\(960\) | 0.933274 | + | 1.19713i | 0.0301213 | + | 0.0386373i | ||||
\(961\) | −24.6555 | −0.795339 | ||||||||
\(962\) | 44.4576 | + | 28.2838i | 1.43337 | + | 0.911907i | ||||
\(963\) | 11.4643 | + | 7.66023i | 0.369433 | + | 0.246847i | ||||
\(964\) | 0.0194618 | − | 0.0536782i | 0.000626821 | − | 0.00172886i | ||||
\(965\) | −1.55083 | − | 1.75436i | −0.0499228 | − | 0.0564750i | ||||
\(966\) | 1.13919 | + | 2.58464i | 0.0366527 | + | 0.0831594i | ||||
\(967\) | 18.3298 | + | 44.2520i | 0.589447 | + | 1.42305i | 0.884033 | + | 0.467425i | \(0.154818\pi\) |
−0.294586 | + | 0.955625i | \(0.595182\pi\) | |||||||
\(968\) | 24.8477 | + | 14.2841i | 0.798634 | + | 0.459109i | ||||
\(969\) | 0.871507 | + | 2.10400i | 0.0279968 | + | 0.0675903i | ||||
\(970\) | −21.1100 | + | 3.34791i | −0.677802 | + | 0.107495i | ||||
\(971\) | 10.4605 | − | 52.5885i | 0.335693 | − | 1.68764i | −0.332058 | − | 0.943259i | \(-0.607743\pi\) |
0.667751 | − | 0.744385i | \(-0.267257\pi\) | |||||||
\(972\) | 2.70540 | + | 3.68010i | 0.0867757 | + | 0.118039i | ||||
\(973\) | 7.75594 | + | 38.9917i | 0.248644 | + | 1.25002i | ||||
\(974\) | −1.59741 | + | 9.09240i | −0.0511844 | + | 0.291339i | ||||
\(975\) | 0.974940 | − | 1.71985i | 0.0312231 | − | 0.0550792i | ||||
\(976\) | −11.7815 | − | 6.42550i | −0.377116 | − | 0.205675i | ||||
\(977\) | − | 23.5101i | − | 0.752153i | −0.926589 | − | 0.376077i | \(-0.877273\pi\) | ||
0.926589 | − | 0.376077i | \(-0.122727\pi\) | |||||||
\(978\) | −0.181923 | + | 1.03550i | −0.00581725 | + | 0.0331116i | ||||
\(979\) | 3.95833 | − | 5.92406i | 0.126509 | − | 0.189334i | ||||
\(980\) | 9.77860 | + | 4.24227i | 0.312366 | + | 0.135514i | ||||
\(981\) | 2.23344 | − | 11.2283i | 0.0713083 | − | 0.358491i | ||||
\(982\) | −35.5353 | + | 37.1669i | −1.13398 | + | 1.18604i | ||||
\(983\) | 26.2325 | + | 10.8658i | 0.836686 | + | 0.346567i | 0.759546 | − | 0.650454i | \(-0.225421\pi\) |
0.0771397 | + | 0.997020i | \(0.475421\pi\) | |||||||
\(984\) | −0.326487 | + | 0.967721i | −0.0104080 | + | 0.0308498i | ||||
\(985\) | 1.44342 | − | 5.47321i | 0.0459912 | − | 0.174391i | ||||
\(986\) | −11.0655 | + | 28.5072i | −0.352397 | + | 0.907855i | ||||
\(987\) | −0.513734 | + | 2.58272i | −0.0163523 | + | 0.0822088i | ||||
\(988\) | −1.68343 | − | 37.4879i | −0.0535569 | − | 1.19265i | ||||
\(989\) | 2.82866 | + | 14.2206i | 0.0899461 | + | 0.452189i | ||||
\(990\) | −3.68744 | + | 8.00295i | −0.117194 | + | 0.254351i | ||||
\(991\) | 36.5094 | 1.15976 | 0.579880 | − | 0.814702i | \(-0.303099\pi\) | ||||
0.579880 | + | 0.814702i | \(0.303099\pi\) | |||||||
\(992\) | 4.32684 | + | 13.5758i | 0.137377 | + | 0.431032i | ||||
\(993\) | 0.107242 | − | 0.107242i | 0.00340321 | − | 0.00340321i | ||||
\(994\) | −13.3165 | + | 20.9314i | −0.422375 | + | 0.663905i | ||||
\(995\) | −15.0015 | − | 7.32447i | −0.475579 | − | 0.232201i | ||||
\(996\) | −2.44481 | + | 0.109786i | −0.0774668 | + | 0.00347871i | ||||
\(997\) | 2.07294 | + | 0.412334i | 0.0656508 | + | 0.0130588i | 0.227806 | − | 0.973706i | \(-0.426845\pi\) |
−0.162156 | + | 0.986765i | \(0.551845\pi\) | |||||||
\(998\) | −16.5696 | + | 7.30309i | −0.524501 | + | 0.231175i | ||||
\(999\) | 1.55607 | − | 3.75668i | 0.0492318 | − | 0.118856i |
(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 | 320.2.bd.a.43.16 | ✓ | 368 | |
5.2 | odd | 4 | 320.2.bj.a.107.8 | yes | 368 | ||
64.3 | odd | 16 | 320.2.bj.a.3.8 | yes | 368 | ||
320.67 | even | 16 | inner | 320.2.bd.a.67.16 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
320.2.bd.a.43.16 | ✓ | 368 | 1.1 | even | 1 | trivial | |
320.2.bd.a.67.16 | yes | 368 | 320.67 | even | 16 | inner | |
320.2.bj.a.3.8 | yes | 368 | 64.3 | odd | 16 | ||
320.2.bj.a.107.8 | yes | 368 | 5.2 | odd | 4 |