Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 85.8 | ||
Character | \(\chi\) | \(=\) | 552.85 |
Dual form | 552.2.bb.a.13.8 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28649 | − | 0.587327i | −0.909683 | − | 0.415303i | ||||
\(3\) | −0.540641 | − | 0.841254i | −0.312139 | − | 0.485698i | ||||
\(4\) | 1.31009 | + | 1.51118i | 0.655047 | + | 0.755588i | ||||
\(5\) | 2.37560 | − | 1.08490i | 1.06240 | − | 0.485182i | 0.193977 | − | 0.981006i | \(-0.437861\pi\) |
0.868423 | + | 0.495824i | \(0.165134\pi\) | |||||||
\(6\) | 0.201436 | + | 1.39979i | 0.0822360 | + | 0.571464i | ||||
\(7\) | 1.76843 | − | 0.519257i | 0.668403 | − | 0.196261i | 0.0701110 | − | 0.997539i | \(-0.477665\pi\) |
0.598292 | + | 0.801278i | \(0.295846\pi\) | |||||||
\(8\) | −0.797864 | − | 2.71356i | −0.282087 | − | 0.959389i | ||||
\(9\) | −0.415415 | + | 0.909632i | −0.138472 | + | 0.303211i | ||||
\(10\) | −3.69337 | 0.000455346i | −1.16795 | 0.000143993i | ||||||
\(11\) | 3.66757 | − | 3.17797i | 1.10581 | − | 0.958193i | 0.106466 | − | 0.994316i | \(-0.466047\pi\) |
0.999347 | + | 0.0361238i | \(0.0115011\pi\) | |||||||
\(12\) | 0.562992 | − | 1.91912i | 0.162522 | − | 0.554004i | ||||
\(13\) | −0.735357 | + | 2.50439i | −0.203951 | + | 0.694594i | 0.792458 | + | 0.609926i | \(0.208801\pi\) |
−0.996409 | + | 0.0846677i | \(0.973017\pi\) | |||||||
\(14\) | −2.58003 | − | 0.370628i | −0.689542 | − | 0.0990544i | ||||
\(15\) | −2.19702 | − | 1.41194i | −0.567269 | − | 0.364561i | ||||
\(16\) | −0.567307 | + | 3.95957i | −0.141827 | + | 0.989892i | ||||
\(17\) | −0.317717 | + | 2.20977i | −0.0770577 | + | 0.535948i | 0.914328 | + | 0.404974i | \(0.132719\pi\) |
−0.991386 | + | 0.130974i | \(0.958190\pi\) | |||||||
\(18\) | 1.06868 | − | 0.926245i | 0.251890 | − | 0.218318i | ||||
\(19\) | 1.84049 | − | 0.264623i | 0.422238 | − | 0.0607087i | 0.0720790 | − | 0.997399i | \(-0.477037\pi\) |
0.350159 | + | 0.936690i | \(0.386128\pi\) | |||||||
\(20\) | 4.75173 | + | 2.16863i | 1.06252 | + | 0.484920i | ||||
\(21\) | −1.39291 | − | 1.20696i | −0.303958 | − | 0.263381i | ||||
\(22\) | −6.58478 | + | 1.93435i | −1.40388 | + | 0.412404i | ||||
\(23\) | 4.13830 | + | 2.42373i | 0.862895 | + | 0.505383i | ||||
\(24\) | −1.85144 | + | 2.13827i | −0.377923 | + | 0.436472i | ||||
\(25\) | 1.19216 | − | 1.37583i | 0.238432 | − | 0.275165i | ||||
\(26\) | 2.41692 | − | 2.78997i | 0.473998 | − | 0.547159i | ||||
\(27\) | 0.989821 | − | 0.142315i | 0.190491 | − | 0.0273885i | ||||
\(28\) | 3.10149 | + | 1.99213i | 0.586127 | + | 0.376477i | ||||
\(29\) | 1.40144 | + | 0.201497i | 0.260242 | + | 0.0374171i | 0.271201 | − | 0.962523i | \(-0.412579\pi\) |
−0.0109589 | + | 0.999940i | \(0.503488\pi\) | |||||||
\(30\) | 1.99717 | + | 3.10681i | 0.364631 | + | 0.567224i | ||||
\(31\) | 0.445741 | + | 0.286460i | 0.0800574 | + | 0.0514498i | 0.580057 | − | 0.814576i | \(-0.303030\pi\) |
−0.500000 | + | 0.866026i | \(0.666667\pi\) | |||||||
\(32\) | 3.05539 | − | 4.76073i | 0.540122 | − | 0.841587i | ||||
\(33\) | −4.65631 | − | 1.36722i | −0.810560 | − | 0.238002i | ||||
\(34\) | 1.70660 | − | 2.65623i | 0.292679 | − | 0.455541i | ||||
\(35\) | 3.63773 | − | 3.15211i | 0.614889 | − | 0.532804i | ||||
\(36\) | −1.91885 | + | 0.563938i | −0.319808 | + | 0.0939897i | ||||
\(37\) | −6.09278 | − | 2.78248i | −1.00165 | − | 0.457437i | −0.154042 | − | 0.988064i | \(-0.549229\pi\) |
−0.847605 | + | 0.530627i | \(0.821956\pi\) | |||||||
\(38\) | −2.52319 | − | 0.740537i | −0.409315 | − | 0.120131i | ||||
\(39\) | 2.50439 | − | 0.735357i | 0.401024 | − | 0.117751i | ||||
\(40\) | −4.83935 | − | 5.58073i | −0.765168 | − | 0.882391i | ||||
\(41\) | −1.56265 | − | 3.42173i | −0.244045 | − | 0.534385i | 0.747482 | − | 0.664282i | \(-0.231263\pi\) |
−0.991527 | + | 0.129897i | \(0.958535\pi\) | |||||||
\(42\) | 1.08308 | + | 2.37084i | 0.167123 | + | 0.365828i | ||||
\(43\) | −0.469155 | − | 0.730019i | −0.0715454 | − | 0.111327i | 0.803637 | − | 0.595119i | \(-0.202895\pi\) |
−0.875183 | + | 0.483793i | \(0.839259\pi\) | |||||||
\(44\) | 9.60732 | + | 1.37891i | 1.44836 | + | 0.207878i | ||||
\(45\) | 2.61160i | 0.389315i | ||||||||
\(46\) | −3.90034 | − | 5.54863i | −0.575074 | − | 0.818101i | ||||
\(47\) | 2.04867 | 0.298829 | 0.149414 | − | 0.988775i | \(-0.452261\pi\) | ||||
0.149414 | + | 0.988775i | \(0.452261\pi\) | |||||||
\(48\) | 3.63771 | − | 1.66345i | 0.525058 | − | 0.240099i | ||||
\(49\) | −3.03107 | + | 1.94795i | −0.433010 | + | 0.278278i | ||||
\(50\) | −2.34176 | + | 1.06979i | −0.331175 | + | 0.151292i | ||||
\(51\) | 2.03075 | − | 0.927411i | 0.284362 | − | 0.129864i | ||||
\(52\) | −4.74797 | + | 2.16974i | −0.658425 | + | 0.300889i | ||||
\(53\) | −3.30615 | − | 11.2597i | −0.454134 | − | 1.54664i | −0.795049 | − | 0.606545i | \(-0.792555\pi\) |
0.340915 | − | 0.940094i | \(-0.389263\pi\) | |||||||
\(54\) | −1.35698 | − | 0.398263i | −0.184661 | − | 0.0541967i | ||||
\(55\) | 5.26490 | − | 11.5285i | 0.709918 | − | 1.55450i | ||||
\(56\) | −2.82000 | − | 4.38444i | −0.376838 | − | 0.585895i | ||||
\(57\) | −1.21766 | − | 1.40526i | −0.161283 | − | 0.186131i | ||||
\(58\) | −1.68459 | − | 1.08233i | −0.221198 | − | 0.142117i | ||||
\(59\) | 0.962583 | − | 3.27826i | 0.125318 | − | 0.426793i | −0.872803 | − | 0.488073i | \(-0.837700\pi\) |
0.998121 | + | 0.0612799i | \(0.0195182\pi\) | |||||||
\(60\) | −0.744615 | − | 5.16986i | −0.0961294 | − | 0.667426i | ||||
\(61\) | 1.27324 | − | 1.98120i | 0.163021 | − | 0.253666i | −0.750127 | − | 0.661294i | \(-0.770008\pi\) |
0.913148 | + | 0.407628i | \(0.133644\pi\) | |||||||
\(62\) | −0.405194 | − | 0.630323i | −0.0514596 | − | 0.0800511i | ||||
\(63\) | −0.262298 | + | 1.82432i | −0.0330465 | + | 0.229843i | ||||
\(64\) | −6.72683 | + | 4.33010i | −0.840853 | + | 0.541263i | ||||
\(65\) | 0.970105 | + | 6.74723i | 0.120327 | + | 0.836890i | ||||
\(66\) | 5.18728 | + | 4.49368i | 0.638510 | + | 0.553134i | ||||
\(67\) | −3.55986 | − | 3.08463i | −0.434906 | − | 0.376848i | 0.409714 | − | 0.912214i | \(-0.365628\pi\) |
−0.844620 | + | 0.535366i | \(0.820174\pi\) | |||||||
\(68\) | −3.75559 | + | 2.41488i | −0.455432 | + | 0.292847i | ||||
\(69\) | −0.198359 | − | 4.79173i | −0.0238796 | − | 0.576856i | ||||
\(70\) | −6.53121 | + | 1.91861i | −0.780629 | + | 0.229318i | ||||
\(71\) | 7.67205 | − | 8.85401i | 0.910504 | − | 1.05078i | −0.0880009 | − | 0.996120i | \(-0.528048\pi\) |
0.998505 | − | 0.0546575i | \(-0.0174067\pi\) | |||||||
\(72\) | 2.79979 | + | 0.401492i | 0.329958 | + | 0.0473162i | ||||
\(73\) | 0.985217 | + | 6.85234i | 0.115311 | + | 0.802005i | 0.962610 | + | 0.270890i | \(0.0873179\pi\) |
−0.847299 | + | 0.531116i | \(0.821773\pi\) | |||||||
\(74\) | 6.20406 | + | 7.15808i | 0.721207 | + | 0.832110i | ||||
\(75\) | −1.80195 | − | 0.259081i | −0.208071 | − | 0.0299161i | ||||
\(76\) | 2.81111 | + | 2.43463i | 0.322457 | + | 0.279271i | ||||
\(77\) | 4.83564 | − | 7.52441i | 0.551073 | − | 0.857486i | ||||
\(78\) | −3.65376 | − | 0.524872i | −0.413707 | − | 0.0594301i | ||||
\(79\) | 9.58201 | + | 2.81353i | 1.07806 | + | 0.316547i | 0.772103 | − | 0.635498i | \(-0.219205\pi\) |
0.305958 | + | 0.952045i | \(0.401023\pi\) | |||||||
\(80\) | 2.94804 | + | 10.0218i | 0.329601 | + | 1.12047i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 0.000655866 | 5.31980i | 7.24282e−5 | 0.587474i | ||||||
\(83\) | −12.8319 | − | 5.86015i | −1.40849 | − | 0.643235i | −0.441314 | − | 0.897353i | \(-0.645488\pi\) |
−0.967173 | + | 0.254118i | \(0.918215\pi\) | |||||||
\(84\) | −0.000908918 | − | 3.68617i | −9.91711e−5 | − | 0.402194i | ||||
\(85\) | 1.64261 | + | 5.59422i | 0.178166 | + | 0.606778i | ||||
\(86\) | 0.174801 | + | 1.21471i | 0.0188493 | + | 0.130985i | ||||
\(87\) | −0.588168 | − | 1.28791i | −0.0630582 | − | 0.138078i | ||||
\(88\) | −11.5498 | − | 7.41658i | −1.23122 | − | 0.790611i | ||||
\(89\) | −6.64268 | + | 4.26899i | −0.704123 | + | 0.452512i | −0.843081 | − | 0.537786i | \(-0.819261\pi\) |
0.138959 | + | 0.990298i | \(0.455624\pi\) | |||||||
\(90\) | 1.53387 | − | 3.35979i | 0.161684 | − | 0.354153i | ||||
\(91\) | 4.81068i | 0.504296i | ||||||||
\(92\) | 1.75887 | + | 9.42902i | 0.183375 | + | 0.983043i | ||||
\(93\) | − | 0.529853i | − | 0.0549432i | ||||||
\(94\) | −2.63558 | − | 1.20324i | −0.271839 | − | 0.124104i | ||||
\(95\) | 4.08518 | − | 2.62539i | 0.419131 | − | 0.269359i | ||||
\(96\) | −5.65685 | + | 0.00348710i | −0.577350 | + | 0.000355901i | ||||
\(97\) | 4.94567 | + | 10.8295i | 0.502157 | + | 1.09957i | 0.975762 | + | 0.218833i | \(0.0702249\pi\) |
−0.473606 | + | 0.880737i | \(0.657048\pi\) | |||||||
\(98\) | 5.04351 | − | 0.725782i | 0.509472 | − | 0.0733151i | ||||
\(99\) | 1.36722 | + | 4.65631i | 0.137410 | + | 0.467977i | ||||
\(100\) | 3.64096 | 0.000897770i | 0.364096 | 8.97770e-5i | ||||||
\(101\) | 11.2923 | + | 5.15701i | 1.12362 | + | 0.513141i | 0.888524 | − | 0.458830i | \(-0.151731\pi\) |
0.235099 | + | 0.971971i | \(0.424459\pi\) | |||||||
\(102\) | −3.15722 | 0.000389246i | −0.312612 | 3.85411e-5i | ||||||
\(103\) | −7.80713 | − | 9.00991i | −0.769260 | − | 0.887773i | 0.227026 | − | 0.973889i | \(-0.427100\pi\) |
−0.996285 | + | 0.0861160i | \(0.972554\pi\) | |||||||
\(104\) | 7.38254 | − | 0.00273053i | 0.723918 | − | 0.000267750i | ||||
\(105\) | −4.61843 | − | 1.35609i | −0.450713 | − | 0.132341i | ||||
\(106\) | −2.35981 | + | 16.4272i | −0.229205 | + | 1.59555i | ||||
\(107\) | −8.71496 | + | 13.5607i | −0.842507 | + | 1.31097i | 0.106050 | + | 0.994361i | \(0.466180\pi\) |
−0.948557 | + | 0.316606i | \(0.897457\pi\) | |||||||
\(108\) | 1.51182 | + | 1.30935i | 0.145475 | + | 0.125992i | ||||
\(109\) | 4.80826 | + | 0.691323i | 0.460548 | + | 0.0662168i | 0.368684 | − | 0.929555i | \(-0.379808\pi\) |
0.0918638 | + | 0.995772i | \(0.470718\pi\) | |||||||
\(110\) | −13.5442 | + | 11.7391i | −1.29139 | + | 1.11928i | ||||
\(111\) | 0.953236 | + | 6.62990i | 0.0904771 | + | 0.629282i | ||||
\(112\) | 1.05279 | + | 7.29678i | 0.0994795 | + | 0.689481i | ||||
\(113\) | −11.6861 | + | 13.4864i | −1.09933 | + | 1.26870i | −0.138862 | + | 0.990312i | \(0.544344\pi\) |
−0.960470 | + | 0.278384i | \(0.910201\pi\) | |||||||
\(114\) | 0.741160 | + | 2.52301i | 0.0694159 | + | 0.236301i | ||||
\(115\) | 12.4604 | + | 1.26818i | 1.16194 | + | 0.118258i | ||||
\(116\) | 1.53153 | + | 2.38181i | 0.142199 | + | 0.221145i | ||||
\(117\) | −1.97260 | − | 1.70927i | −0.182367 | − | 0.158022i | ||||
\(118\) | −3.16376 | + | 3.65208i | −0.291248 | + | 0.336202i | ||||
\(119\) | 0.585579 | + | 4.07279i | 0.0536800 | + | 0.373352i | ||||
\(120\) | −2.07846 | + | 7.08829i | −0.189737 | + | 0.647069i | ||||
\(121\) | 1.78612 | − | 12.4228i | 0.162375 | − | 1.12934i | ||||
\(122\) | −2.80161 | + | 1.80097i | −0.253646 | + | 0.163053i | ||||
\(123\) | −2.03371 | + | 3.16452i | −0.183374 | + | 0.285335i | ||||
\(124\) | 0.151071 | + | 1.04888i | 0.0135665 | + | 0.0941924i | ||||
\(125\) | −2.33941 | + | 7.96730i | −0.209243 | + | 0.712617i | ||||
\(126\) | 1.40892 | − | 2.19291i | 0.125516 | − | 0.195360i | ||||
\(127\) | −4.31607 | − | 4.98101i | −0.382989 | − | 0.441993i | 0.531221 | − | 0.847233i | \(-0.321733\pi\) |
−0.914210 | + | 0.405240i | \(0.867188\pi\) | |||||||
\(128\) | 11.1972 | − | 1.61977i | 0.989698 | − | 0.143169i | ||||
\(129\) | −0.360487 | + | 0.789356i | −0.0317391 | + | 0.0694989i | ||||
\(130\) | 2.71480 | − | 9.24998i | 0.238104 | − | 0.811277i | ||||
\(131\) | −2.85266 | − | 9.71528i | −0.249238 | − | 0.848828i | −0.985142 | − | 0.171741i | \(-0.945061\pi\) |
0.735904 | − | 0.677086i | \(-0.236758\pi\) | |||||||
\(132\) | −4.03410 | − | 8.82769i | −0.351123 | − | 0.768352i | ||||
\(133\) | 3.11737 | − | 1.42366i | 0.270310 | − | 0.123447i | ||||
\(134\) | 2.76802 | + | 6.05914i | 0.239120 | + | 0.523430i | ||||
\(135\) | 2.19702 | − | 1.41194i | 0.189090 | − | 0.121520i | ||||
\(136\) | 6.24984 | − | 0.900951i | 0.535919 | − | 0.0772559i | ||||
\(137\) | 8.67507 | 0.741161 | 0.370581 | − | 0.928800i | \(-0.379159\pi\) | ||||
0.370581 | + | 0.928800i | \(0.379159\pi\) | |||||||
\(138\) | −2.55912 | + | 6.28099i | −0.217847 | + | 0.534674i | ||||
\(139\) | 17.3825i | 1.47436i | 0.675696 | + | 0.737181i | \(0.263843\pi\) | ||||
−0.675696 | + | 0.737181i | \(0.736157\pi\) | |||||||
\(140\) | 9.52917 | + | 1.36769i | 0.805362 | + | 0.115591i | ||||
\(141\) | −1.10759 | − | 1.72345i | −0.0932761 | − | 0.145140i | ||||
\(142\) | −15.0702 | + | 6.88457i | −1.26466 | + | 0.577740i | ||||
\(143\) | 5.26191 | + | 11.5220i | 0.440023 | + | 0.963516i | ||||
\(144\) | −3.36608 | − | 2.16090i | −0.280507 | − | 0.180075i | ||||
\(145\) | 3.54787 | − | 1.04175i | 0.294635 | − | 0.0865126i | ||||
\(146\) | 2.75709 | − | 9.39408i | 0.228179 | − | 0.777460i | ||||
\(147\) | 3.27744 | + | 1.49676i | 0.270319 | + | 0.123450i | ||||
\(148\) | −3.77730 | − | 12.8526i | −0.310492 | − | 1.05648i | ||||
\(149\) | 8.88083 | − | 7.69529i | 0.727546 | − | 0.630422i | −0.210234 | − | 0.977651i | \(-0.567423\pi\) |
0.937781 | + | 0.347229i | \(0.112877\pi\) | |||||||
\(150\) | 2.16602 | + | 1.39164i | 0.176855 | + | 0.113627i | ||||
\(151\) | 9.18412 | + | 2.69670i | 0.747393 | + | 0.219454i | 0.633183 | − | 0.774002i | \(-0.281748\pi\) |
0.114210 | + | 0.993457i | \(0.463566\pi\) | |||||||
\(152\) | −2.18653 | − | 4.78316i | −0.177351 | − | 0.387965i | ||||
\(153\) | −1.87809 | − | 1.20698i | −0.151835 | − | 0.0975783i | ||||
\(154\) | −10.6403 | + | 6.83995i | −0.857418 | + | 0.551179i | ||||
\(155\) | 1.36968 | + | 0.196931i | 0.110015 | + | 0.0158178i | ||||
\(156\) | 4.39225 | + | 2.82120i | 0.351661 | + | 0.225876i | ||||
\(157\) | −21.5541 | + | 3.09902i | −1.72021 | + | 0.247328i | −0.930536 | − | 0.366201i | \(-0.880658\pi\) |
−0.789672 | + | 0.613530i | \(0.789749\pi\) | |||||||
\(158\) | −10.6747 | − | 9.24734i | −0.849231 | − | 0.735679i | ||||
\(159\) | −7.68483 | + | 8.86876i | −0.609446 | + | 0.703339i | ||||
\(160\) | 2.09347 | − | 14.6244i | 0.165503 | − | 1.15616i | ||||
\(161\) | 8.57682 | + | 2.13735i | 0.675948 | + | 0.168447i | ||||
\(162\) | 0.398597 | + | 1.35688i | 0.0313168 | + | 0.106606i | ||||
\(163\) | 6.42240 | + | 5.56505i | 0.503042 | + | 0.435888i | 0.869051 | − | 0.494723i | \(-0.164731\pi\) |
−0.366009 | + | 0.930611i | \(0.619276\pi\) | |||||||
\(164\) | 3.12362 | − | 6.84424i | 0.243914 | − | 0.534445i | ||||
\(165\) | −12.5448 | + | 1.80367i | −0.976613 | + | 0.140416i | ||||
\(166\) | 13.0663 | + | 15.0755i | 1.01414 | + | 1.17009i | ||||
\(167\) | 1.95777 | − | 13.6166i | 0.151497 | − | 1.05368i | −0.762215 | − | 0.647323i | \(-0.775888\pi\) |
0.913712 | − | 0.406361i | \(-0.133203\pi\) | |||||||
\(168\) | −2.16382 | + | 4.74274i | −0.166942 | + | 0.365910i | ||||
\(169\) | 5.20505 | + | 3.34508i | 0.400389 | + | 0.257314i | ||||
\(170\) | 1.17244 | − | 8.16163i | 0.0899220 | − | 0.625969i | ||||
\(171\) | −0.523859 | + | 1.78410i | −0.0400605 | + | 0.136434i | ||||
\(172\) | 0.488550 | − | 1.66537i | 0.0372516 | − | 0.126983i | ||||
\(173\) | −10.1829 | + | 8.82351i | −0.774190 | + | 0.670839i | −0.949533 | − | 0.313668i | \(-0.898442\pi\) |
0.175343 | + | 0.984507i | \(0.443897\pi\) | |||||||
\(174\) | 0.000246862 | 2.00232i | 1.87145e−5 | 0.151796i | ||||||
\(175\) | 1.39384 | − | 3.05209i | 0.105364 | − | 0.230716i | ||||
\(176\) | 10.5027 | + | 16.3249i | 0.791673 | + | 1.23053i | ||||
\(177\) | −3.27826 | + | 0.962583i | −0.246409 | + | 0.0723522i | ||||
\(178\) | 11.0530 | − | 1.59057i | 0.828458 | − | 0.119219i | ||||
\(179\) | −23.5580 | + | 10.7586i | −1.76081 | + | 0.804133i | −0.775941 | + | 0.630805i | \(0.782725\pi\) |
−0.984864 | + | 0.173328i | \(0.944548\pi\) | |||||||
\(180\) | −3.94659 | + | 3.42145i | −0.294162 | + | 0.255020i | ||||
\(181\) | −0.832132 | − | 1.29482i | −0.0618519 | − | 0.0962434i | 0.808950 | − | 0.587877i | \(-0.200036\pi\) |
−0.870802 | + | 0.491634i | \(0.836400\pi\) | |||||||
\(182\) | 2.82544 | − | 6.18887i | 0.209436 | − | 0.458750i | ||||
\(183\) | −2.35505 | −0.174090 | ||||||||
\(184\) | 3.27515 | − | 13.1633i | 0.241447 | − | 0.970414i | ||||
\(185\) | −17.4927 | −1.28609 | ||||||||
\(186\) | −0.311197 | + | 0.681649i | −0.0228181 | + | 0.0499809i | ||||
\(187\) | 5.85732 | + | 9.11417i | 0.428330 | + | 0.666494i | ||||
\(188\) | 2.68394 | + | 3.09589i | 0.195747 | + | 0.225791i | ||||
\(189\) | 1.67653 | − | 0.765645i | 0.121950 | − | 0.0556925i | ||||
\(190\) | −6.79750 | + | 0.978188i | −0.493142 | + | 0.0709652i | ||||
\(191\) | −23.4228 | + | 6.87754i | −1.69481 | + | 0.497641i | −0.979547 | − | 0.201213i | \(-0.935512\pi\) |
−0.715264 | + | 0.698855i | \(0.753693\pi\) | |||||||
\(192\) | 7.27951 | + | 3.31794i | 0.525354 | + | 0.239451i | ||||
\(193\) | −0.511863 | + | 1.12082i | −0.0368447 | + | 0.0806786i | −0.927159 | − | 0.374667i | \(-0.877757\pi\) |
0.890315 | + | 0.455346i | \(0.150484\pi\) | |||||||
\(194\) | −0.00207576 | − | 16.8367i | −0.000149031 | − | 1.20881i | ||||
\(195\) | 5.15165 | − | 4.46393i | 0.368917 | − | 0.319669i | ||||
\(196\) | −6.91468 | − | 2.02848i | −0.493906 | − | 0.144892i | ||||
\(197\) | −0.833382 | + | 2.83824i | −0.0593760 | + | 0.202216i | −0.983839 | − | 0.179056i | \(-0.942696\pi\) |
0.924463 | + | 0.381272i | \(0.124514\pi\) | |||||||
\(198\) | 0.975872 | − | 6.79328i | 0.0693522 | − | 0.482778i | ||||
\(199\) | 7.26635 | + | 4.66980i | 0.515098 | + | 0.331033i | 0.772230 | − | 0.635343i | \(-0.219141\pi\) |
−0.257132 | + | 0.966376i | \(0.582778\pi\) | |||||||
\(200\) | −4.68457 | − | 2.13728i | −0.331249 | − | 0.151128i | ||||
\(201\) | −0.670355 | + | 4.66242i | −0.0472832 | + | 0.328862i | ||||
\(202\) | −11.4985 | − | 13.2667i | −0.809032 | − | 0.933440i | ||||
\(203\) | 2.58298 | − | 0.371377i | 0.181290 | − | 0.0260655i | ||||
\(204\) | 4.06195 | + | 1.85382i | 0.284394 | + | 0.129793i | ||||
\(205\) | −7.42447 | − | 6.43334i | −0.518548 | − | 0.449324i | ||||
\(206\) | 4.75200 | + | 16.1765i | 0.331088 | + | 1.12707i | ||||
\(207\) | −3.92382 | + | 2.75747i | −0.272724 | + | 0.191658i | ||||
\(208\) | −9.49914 | − | 4.33245i | −0.658647 | − | 0.300402i | ||||
\(209\) | 5.90917 | − | 6.81955i | 0.408746 | − | 0.471718i | ||||
\(210\) | 5.14508 | + | 4.45713i | 0.355044 | + | 0.307571i | ||||
\(211\) | 26.3552 | − | 3.78931i | 1.81437 | − | 0.260867i | 0.850257 | − | 0.526368i | \(-0.176446\pi\) |
0.964111 | + | 0.265501i | \(0.0855373\pi\) | |||||||
\(212\) | 12.6840 | − | 19.7474i | 0.871143 | − | 1.35626i | ||||
\(213\) | −11.5963 | − | 1.66729i | −0.794565 | − | 0.114241i | ||||
\(214\) | 19.1763 | − | 12.3272i | 1.31086 | − | 0.842669i | ||||
\(215\) | −1.90652 | − | 1.22525i | −0.130024 | − | 0.0835611i | ||||
\(216\) | −1.17592 | − | 2.57239i | −0.0800114 | − | 0.175029i | ||||
\(217\) | 0.937006 | + | 0.275130i | 0.0636081 | + | 0.0186770i | ||||
\(218\) | −5.77973 | − | 3.71340i | −0.391452 | − | 0.251503i | ||||
\(219\) | 5.23190 | − | 4.53347i | 0.353539 | − | 0.306344i | ||||
\(220\) | 24.3191 | − | 7.14725i | 1.63960 | − | 0.481868i | ||||
\(221\) | −5.30050 | − | 2.42066i | −0.356550 | − | 0.162831i | ||||
\(222\) | 2.66759 | − | 9.08914i | 0.179037 | − | 0.610023i | ||||
\(223\) | 2.91073 | − | 0.854668i | 0.194917 | − | 0.0572328i | −0.182817 | − | 0.983147i | \(-0.558522\pi\) |
0.377734 | + | 0.925914i | \(0.376703\pi\) | |||||||
\(224\) | 2.93119 | − | 10.0055i | 0.195849 | − | 0.668523i | ||||
\(225\) | 0.756254 | + | 1.65597i | 0.0504170 | + | 0.110398i | ||||
\(226\) | 22.9549 | − | 10.4866i | 1.52694 | − | 0.697556i | ||||
\(227\) | −5.86057 | − | 9.11922i | −0.388979 | − | 0.605264i | 0.590444 | − | 0.807078i | \(-0.298953\pi\) |
−0.979424 | + | 0.201815i | \(0.935316\pi\) | |||||||
\(228\) | 0.528338 | − | 3.68112i | 0.0349901 | − | 0.243788i | ||||
\(229\) | 15.9631i | 1.05487i | 0.849595 | + | 0.527435i | \(0.176846\pi\) | ||||
−0.849595 | + | 0.527435i | \(0.823154\pi\) | |||||||
\(230\) | −15.2854 | − | 8.94985i | −1.00789 | − | 0.590136i | ||||
\(231\) | −8.94428 | −0.588491 | ||||||||
\(232\) | −0.571386 | − | 3.96367i | −0.0375134 | − | 0.260228i | ||||
\(233\) | −22.0074 | + | 14.1433i | −1.44175 | + | 0.926556i | −0.442189 | + | 0.896922i | \(0.645798\pi\) |
−0.999561 | + | 0.0296343i | \(0.990566\pi\) | |||||||
\(234\) | 1.53382 | + | 3.35751i | 0.100269 | + | 0.219487i | ||||
\(235\) | 4.86681 | − | 2.22260i | 0.317476 | − | 0.144986i | ||||
\(236\) | 6.21510 | − | 2.84019i | 0.404569 | − | 0.184881i | ||||
\(237\) | −2.81353 | − | 9.58201i | −0.182759 | − | 0.622419i | ||||
\(238\) | 1.63872 | − | 5.58352i | 0.106223 | − | 0.361926i | ||||
\(239\) | 8.39636 | − | 18.3855i | 0.543115 | − | 1.18926i | −0.416808 | − | 0.908994i | \(-0.636851\pi\) |
0.959924 | − | 0.280262i | \(-0.0904213\pi\) | |||||||
\(240\) | 6.83706 | − | 7.89825i | 0.441330 | − | 0.509830i | ||||
\(241\) | −9.61813 | − | 11.0999i | −0.619558 | − | 0.715008i | 0.356065 | − | 0.934461i | \(-0.384118\pi\) |
−0.975623 | + | 0.219453i | \(0.929573\pi\) | |||||||
\(242\) | −9.59405 | + | 14.9327i | −0.616729 | + | 0.959909i | ||||
\(243\) | −0.281733 | + | 0.959493i | −0.0180732 | + | 0.0615515i | ||||
\(244\) | 4.66200 | − | 0.671467i | 0.298454 | − | 0.0429863i | ||||
\(245\) | −5.08727 | + | 7.91595i | −0.325014 | + | 0.505732i | ||||
\(246\) | 4.47495 | − | 2.87665i | 0.285312 | − | 0.183409i | ||||
\(247\) | −0.690699 | + | 4.80391i | −0.0439481 | + | 0.305666i | ||||
\(248\) | 0.421687 | − | 1.43810i | 0.0267771 | − | 0.0913195i | ||||
\(249\) | 2.00760 | + | 13.9631i | 0.127226 | + | 0.884878i | ||||
\(250\) | 7.68903 | − | 8.87582i | 0.486297 | − | 0.561356i | ||||
\(251\) | −5.23567 | − | 4.53673i | −0.330472 | − | 0.286356i | 0.473781 | − | 0.880643i | \(-0.342889\pi\) |
−0.804253 | + | 0.594287i | \(0.797434\pi\) | |||||||
\(252\) | −3.10051 | + | 1.99366i | −0.195314 | + | 0.125589i | ||||
\(253\) | 22.8800 | − | 4.26216i | 1.43846 | − | 0.267960i | ||||
\(254\) | 2.62708 | + | 8.94295i | 0.164838 | + | 0.561131i | ||||
\(255\) | 3.81809 | − | 4.40631i | 0.239098 | − | 0.275934i | ||||
\(256\) | −15.3563 | − | 4.49258i | −0.959770 | − | 0.280786i | ||||
\(257\) | −2.86044 | − | 19.8948i | −0.178429 | − | 1.24100i | −0.860398 | − | 0.509622i | \(-0.829785\pi\) |
0.681969 | − | 0.731381i | \(-0.261124\pi\) | |||||||
\(258\) | 0.927371 | − | 0.803772i | 0.0577356 | − | 0.0500407i | ||||
\(259\) | −12.2195 | − | 1.75689i | −0.759281 | − | 0.109168i | ||||
\(260\) | −8.92532 | + | 10.3055i | −0.553525 | + | 0.639120i | ||||
\(261\) | −0.765469 | + | 1.19109i | −0.0473814 | + | 0.0737268i | ||||
\(262\) | −2.03613 | + | 14.1740i | −0.125793 | + | 0.875674i | ||||
\(263\) | −9.32323 | − | 2.73755i | −0.574895 | − | 0.168804i | −0.0186547 | − | 0.999826i | \(-0.505938\pi\) |
−0.556240 | + | 0.831022i | \(0.687757\pi\) | |||||||
\(264\) | 0.00507675 | + | 13.7260i | 0.000312452 | + | 0.844779i | ||||
\(265\) | −20.0697 | − | 23.1617i | −1.23287 | − | 1.42281i | ||||
\(266\) | −4.84661 | 0.000597527i | −0.297164 | 3.66367e-5i | ||||||
\(267\) | 7.18261 | + | 3.28019i | 0.439568 | + | 0.200744i | ||||
\(268\) | −0.00232292 | − | 9.42073i | −0.000141895 | − | 0.575463i | ||||
\(269\) | 6.63849 | + | 22.6086i | 0.404756 | + | 1.37847i | 0.869896 | + | 0.493235i | \(0.164186\pi\) |
−0.465140 | + | 0.885237i | \(0.653996\pi\) | |||||||
\(270\) | −3.65571 | + | 0.526072i | −0.222479 | + | 0.0320157i | ||||
\(271\) | 10.8107 | + | 23.6720i | 0.656700 | + | 1.43797i | 0.885565 | + | 0.464515i | \(0.153771\pi\) |
−0.228865 | + | 0.973458i | \(0.573501\pi\) | |||||||
\(272\) | −8.56949 | − | 2.51164i | −0.519601 | − | 0.152290i | ||||
\(273\) | 4.04700 | − | 2.60085i | 0.244936 | − | 0.157411i | ||||
\(274\) | −11.1604 | − | 5.09510i | −0.674222 | − | 0.307806i | ||||
\(275\) | − | 8.83458i | − | 0.532745i | ||||||
\(276\) | 6.98128 | − | 6.57737i | 0.420223 | − | 0.395911i | ||||
\(277\) | − | 5.40470i | − | 0.324737i | −0.986730 | − | 0.162369i | \(-0.948087\pi\) | ||
0.986730 | − | 0.162369i | \(-0.0519134\pi\) | |||||||
\(278\) | 10.2092 | − | 22.3623i | 0.612306 | − | 1.34120i | ||||
\(279\) | −0.445741 | + | 0.286460i | −0.0266858 | + | 0.0171499i | ||||
\(280\) | −11.4559 | − | 7.35625i | −0.684619 | − | 0.439620i | ||||
\(281\) | −0.436338 | − | 0.955446i | −0.0260297 | − | 0.0569972i | 0.896171 | − | 0.443710i | \(-0.146338\pi\) |
−0.922200 | + | 0.386713i | \(0.873611\pi\) | |||||||
\(282\) | 0.412675 | + | 2.86771i | 0.0245745 | + | 0.170770i | ||||
\(283\) | 7.33493 | + | 24.9805i | 0.436017 | + | 1.48494i | 0.825765 | + | 0.564015i | \(0.190744\pi\) |
−0.389748 | + | 0.920921i | \(0.627438\pi\) | |||||||
\(284\) | 23.4311 | − | 0.00577752i | 1.39038 | − | 0.000342833i | ||||
\(285\) | −4.41724 | − | 2.01728i | −0.261654 | − | 0.119494i | ||||
\(286\) | −0.00220849 | − | 17.9133i | −0.000130591 | − | 1.05924i | ||||
\(287\) | −4.54020 | − | 5.23967i | −0.267999 | − | 0.309288i | ||||
\(288\) | 3.06126 | + | 4.75696i | 0.180386 | + | 0.280307i | ||||
\(289\) | 11.5292 | + | 3.38529i | 0.678191 | + | 0.199135i | ||||
\(290\) | −5.17614 | − | 0.743565i | −0.303953 | − | 0.0436636i | ||||
\(291\) | 6.43653 | − | 10.0154i | 0.377316 | − | 0.587115i | ||||
\(292\) | −9.06436 | + | 10.4660i | −0.530452 | + | 0.612479i | ||||
\(293\) | 33.7146 | + | 4.84743i | 1.96963 | + | 0.283190i | 0.999110 | + | 0.0421698i | \(0.0134270\pi\) |
0.970520 | + | 0.241020i | \(0.0774821\pi\) | |||||||
\(294\) | −3.33729 | − | 3.85048i | −0.194635 | − | 0.224565i | ||||
\(295\) | −1.26987 | − | 8.83213i | −0.0739346 | − | 0.514227i | ||||
\(296\) | −2.68922 | + | 18.7532i | −0.156308 | + | 1.09001i | ||||
\(297\) | 3.17797 | − | 3.66757i | 0.184404 | − | 0.212814i | ||||
\(298\) | −15.9447 | + | 4.68393i | −0.923653 | + | 0.271333i | ||||
\(299\) | −9.11311 | + | 8.58163i | −0.527025 | + | 0.496288i | ||||
\(300\) | −1.96921 | − | 3.06248i | −0.113692 | − | 0.176813i | ||||
\(301\) | −1.20873 | − | 1.04737i | −0.0696702 | − | 0.0603696i | ||||
\(302\) | −10.2314 | − | 8.86335i | −0.588751 | − | 0.510029i | ||||
\(303\) | −1.76671 | − | 12.2877i | −0.101495 | − | 0.705913i | ||||
\(304\) | 0.00366789 | + | 7.43768i | 0.000210368 | + | 0.426580i | ||||
\(305\) | 0.875302 | − | 6.08786i | 0.0501197 | − | 0.348590i | ||||
\(306\) | 1.70725 | + | 2.65581i | 0.0975970 | + | 0.151823i | ||||
\(307\) | −6.75808 | + | 10.5158i | −0.385704 | + | 0.600167i | −0.978764 | − | 0.204991i | \(-0.934283\pi\) |
0.593060 | + | 0.805158i | \(0.297920\pi\) | |||||||
\(308\) | 17.7059 | − | 2.55017i | 1.00888 | − | 0.145310i | ||||
\(309\) | −3.35876 | + | 11.4389i | −0.191073 | + | 0.650736i | ||||
\(310\) | −1.64641 | − | 1.05780i | −0.0935101 | − | 0.0600790i | ||||
\(311\) | −9.20654 | − | 10.6249i | −0.522055 | − | 0.602483i | 0.432089 | − | 0.901831i | \(-0.357777\pi\) |
−0.954144 | + | 0.299347i | \(0.903231\pi\) | |||||||
\(312\) | −3.99360 | − | 6.20911i | −0.226093 | − | 0.351522i | ||||
\(313\) | 9.81781 | − | 21.4980i | 0.554935 | − | 1.21514i | −0.399503 | − | 0.916732i | \(-0.630817\pi\) |
0.954439 | − | 0.298407i | \(-0.0964553\pi\) | |||||||
\(314\) | 29.5492 | + | 8.67248i | 1.66756 | + | 0.489416i | ||||
\(315\) | 1.35609 | + | 4.61843i | 0.0764072 | + | 0.260219i | ||||
\(316\) | 8.30159 | + | 18.1661i | 0.467001 | + | 1.02192i | ||||
\(317\) | 13.1275 | − | 5.99514i | 0.737315 | − | 0.336720i | −0.0111116 | − | 0.999938i | \(-0.503537\pi\) |
0.748426 | + | 0.663218i | \(0.230810\pi\) | |||||||
\(318\) | 15.0953 | − | 6.89604i | 0.846502 | − | 0.386710i | ||||
\(319\) | 5.78024 | − | 3.71474i | 0.323631 | − | 0.207985i | ||||
\(320\) | −11.2825 | + | 17.5845i | −0.630712 | + | 0.983005i | ||||
\(321\) | 16.1197 | 0.899713 | ||||||||
\(322\) | −9.77864 | − | 7.78708i | −0.544942 | − | 0.433957i | ||||
\(323\) | 4.15114i | 0.230976i | ||||||||
\(324\) | 0.284142 | − | 1.97971i | 0.0157856 | − | 0.109984i | ||||
\(325\) | 2.56895 | + | 3.99736i | 0.142500 | + | 0.221734i | ||||
\(326\) | −4.99383 | − | 10.9314i | −0.276583 | − | 0.605435i | ||||
\(327\) | −2.01796 | − | 4.41872i | −0.111594 | − | 0.244356i | ||||
\(328\) | −8.03830 | + | 6.97043i | −0.443841 | + | 0.384878i | ||||
\(329\) | 3.62292 | − | 1.06378i | 0.199738 | − | 0.0586483i | ||||
\(330\) | 17.1981 | + | 5.04751i | 0.946724 | + | 0.277856i | ||||
\(331\) | −29.9583 | − | 13.6815i | −1.64666 | − | 0.752004i | −0.646717 | − | 0.762730i | \(-0.723858\pi\) |
−0.999942 | + | 0.0107259i | \(0.996586\pi\) | |||||||
\(332\) | −7.95533 | − | 27.0687i | −0.436605 | − | 1.48559i | ||||
\(333\) | 5.06207 | − | 4.38631i | 0.277400 | − | 0.240368i | ||||
\(334\) | −10.5160 | + | 16.3677i | −0.575413 | + | 0.895602i | ||||
\(335\) | −11.8033 | − | 3.46577i | −0.644884 | − | 0.189355i | ||||
\(336\) | 5.56926 | − | 4.83060i | 0.303828 | − | 0.263531i | ||||
\(337\) | −11.2877 | − | 7.25414i | −0.614878 | − | 0.395158i | 0.195806 | − | 0.980643i | \(-0.437268\pi\) |
−0.810683 | + | 0.585485i | \(0.800904\pi\) | |||||||
\(338\) | −4.73157 | − | 7.36047i | −0.257363 | − | 0.400357i | ||||
\(339\) | 17.6635 | + | 2.53962i | 0.959347 | + | 0.137933i | ||||
\(340\) | −6.30187 | + | 9.81123i | −0.341767 | + | 0.532088i | ||||
\(341\) | 2.54514 | − | 0.365937i | 0.137827 | − | 0.0198166i | ||||
\(342\) | 1.72179 | − | 1.98754i | 0.0931036 | − | 0.107474i | ||||
\(343\) | −12.7975 | + | 14.7691i | −0.690999 | + | 0.797456i | ||||
\(344\) | −1.60663 | + | 1.85553i | −0.0866236 | + | 0.100044i | ||||
\(345\) | −5.66977 | − | 11.1680i | −0.305250 | − | 0.601266i | ||||
\(346\) | 18.2824 | − | 5.37065i | 0.982869 | − | 0.288728i | ||||
\(347\) | 9.24581 | + | 8.01154i | 0.496341 | + | 0.430082i | 0.866717 | − | 0.498800i | \(-0.166226\pi\) |
−0.370376 | + | 0.928882i | \(0.620771\pi\) | |||||||
\(348\) | 1.17570 | − | 2.57611i | 0.0630241 | − | 0.138094i | ||||
\(349\) | 1.85621 | − | 0.266883i | 0.0993606 | − | 0.0142859i | −0.0924552 | − | 0.995717i | \(-0.529471\pi\) |
0.191816 | + | 0.981431i | \(0.438562\pi\) | |||||||
\(350\) | −3.58573 | + | 3.10783i | −0.191665 | + | 0.166120i | ||||
\(351\) | −0.371459 | + | 2.58356i | −0.0198270 | + | 0.137900i | ||||
\(352\) | −3.92359 | − | 27.1702i | −0.209128 | − | 1.44818i | ||||
\(353\) | 31.1623 | + | 20.0268i | 1.65860 | + | 1.06592i | 0.920112 | + | 0.391655i | \(0.128097\pi\) |
0.738490 | + | 0.674264i | \(0.235539\pi\) | |||||||
\(354\) | 4.78279 | + | 0.687059i | 0.254202 | + | 0.0365168i | ||||
\(355\) | 8.61999 | − | 29.3570i | 0.457501 | − | 1.55811i | ||||
\(356\) | −15.1537 | − | 4.44548i | −0.803146 | − | 0.235610i | ||||
\(357\) | 3.10966 | − | 2.69454i | 0.164581 | − | 0.142610i | ||||
\(358\) | 36.6258 | − | 0.00451551i | 1.93573 | − | 0.000238652i | ||||
\(359\) | −1.19107 | + | 2.60807i | −0.0628622 | + | 0.137649i | −0.938456 | − | 0.345400i | \(-0.887743\pi\) |
0.875593 | + | 0.483049i | \(0.160471\pi\) | |||||||
\(360\) | 7.08675 | − | 2.08370i | 0.373504 | − | 0.109821i | ||||
\(361\) | −14.9130 | + | 4.37885i | −0.784894 | + | 0.230466i | ||||
\(362\) | 0.310042 | + | 2.15450i | 0.0162954 | + | 0.113238i | ||||
\(363\) | −11.4163 | + | 5.21367i | −0.599203 | + | 0.273647i | ||||
\(364\) | −7.26978 | + | 6.30244i | −0.381040 | + | 0.330338i | ||||
\(365\) | 9.77458 | + | 15.2095i | 0.511625 | + | 0.796104i | ||||
\(366\) | 3.02974 | + | 1.38319i | 0.158367 | + | 0.0723003i | ||||
\(367\) | 21.4917 | 1.12186 | 0.560929 | − | 0.827864i | \(-0.310444\pi\) | ||||
0.560929 | + | 0.827864i | \(0.310444\pi\) | |||||||
\(368\) | −11.9446 | + | 15.0109i | −0.622656 | + | 0.782496i | ||||
\(369\) | 3.76167 | 0.195825 | ||||||||
\(370\) | 22.5042 | + | 10.2740i | 1.16994 | + | 0.534117i | ||||
\(371\) | −11.6934 | − | 18.1952i | −0.607089 | − | 0.944649i | ||||
\(372\) | 0.800701 | − | 0.694157i | 0.0415144 | − | 0.0359904i | ||||
\(373\) | −15.9124 | + | 7.26694i | −0.823912 | + | 0.376268i | −0.782328 | − | 0.622867i | \(-0.785968\pi\) |
−0.0415840 | + | 0.999135i | \(0.513240\pi\) | |||||||
\(374\) | −2.18237 | − | 15.1654i | −0.112848 | − | 0.784185i | ||||
\(375\) | 7.96730 | − | 2.33941i | 0.411429 | − | 0.120807i | ||||
\(376\) | −1.63456 | − | 5.55918i | −0.0842958 | − | 0.286693i | ||||
\(377\) | −1.53519 | + | 3.36160i | −0.0790663 | + | 0.173131i | ||||
\(378\) | −2.60652 | 0.000321351i | −0.134065 | 1.65285e-5i | ||||||
\(379\) | 3.17370 | − | 2.75002i | 0.163022 | − | 0.141259i | −0.569530 | − | 0.821971i | \(-0.692875\pi\) |
0.732552 | + | 0.680711i | \(0.238329\pi\) | |||||||
\(380\) | 9.31940 | + | 2.73393i | 0.478075 | + | 0.140248i | ||||
\(381\) | −1.85685 | + | 6.32385i | −0.0951293 | + | 0.323981i | ||||
\(382\) | 34.1724 | + | 4.90895i | 1.74841 | + | 0.251164i | ||||
\(383\) | −4.02529 | − | 2.58690i | −0.205683 | − | 0.132184i | 0.433745 | − | 0.901036i | \(-0.357192\pi\) |
−0.639427 | + | 0.768852i | \(0.720828\pi\) | |||||||
\(384\) | −7.41628 | − | 8.54393i | −0.378460 | − | 0.436006i | ||||
\(385\) | 3.32432 | − | 23.1212i | 0.169423 | − | 1.17836i | ||||
\(386\) | 1.31679 | − | 1.14129i | 0.0670230 | − | 0.0580903i | ||||
\(387\) | 0.858942 | − | 0.123497i | 0.0436625 | − | 0.00627772i | ||||
\(388\) | −9.88600 | + | 21.6614i | −0.501885 | + | 1.09969i | ||||
\(389\) | 3.82435 | + | 3.31382i | 0.193902 | + | 0.168017i | 0.746401 | − | 0.665497i | \(-0.231780\pi\) |
−0.552499 | + | 0.833514i | \(0.686326\pi\) | |||||||
\(390\) | −9.24931 | + | 2.71708i | −0.468357 | + | 0.137585i | ||||
\(391\) | −6.67070 | + | 8.37463i | −0.337352 | + | 0.423523i | ||||
\(392\) | 7.70426 | + | 6.67079i | 0.389124 | + | 0.336926i | ||||
\(393\) | −6.63074 | + | 7.65229i | −0.334477 | + | 0.386007i | ||||
\(394\) | 2.73911 | − | 3.16189i | 0.137994 | − | 0.159294i | ||||
\(395\) | 25.8154 | − | 3.71170i | 1.29891 | − | 0.186756i | ||||
\(396\) | −5.24532 | + | 8.16631i | −0.263587 | + | 0.410373i | ||||
\(397\) | −5.99768 | − | 0.862337i | −0.301015 | − | 0.0432794i | −0.00984753 | − | 0.999952i | \(-0.503135\pi\) |
−0.291168 | + | 0.956672i | \(0.594044\pi\) | |||||||
\(398\) | −6.60536 | − | 10.2754i | −0.331097 | − | 0.515057i | ||||
\(399\) | −2.88303 | − | 1.85281i | −0.144332 | − | 0.0927567i | ||||
\(400\) | 4.77135 | + | 5.50095i | 0.238568 | + | 0.275048i | ||||
\(401\) | −26.5150 | − | 7.78550i | −1.32409 | − | 0.388789i | −0.458126 | − | 0.888887i | \(-0.651479\pi\) |
−0.865969 | + | 0.500098i | \(0.833297\pi\) | |||||||
\(402\) | 3.60077 | − | 5.60443i | 0.179590 | − | 0.279523i | ||||
\(403\) | −1.04519 | + | 0.905660i | −0.0520645 | + | 0.0451142i | ||||
\(404\) | 7.00079 | + | 23.8208i | 0.348302 | + | 1.18513i | ||||
\(405\) | −2.37560 | − | 1.08490i | −0.118044 | − | 0.0539091i | ||||
\(406\) | −3.54109 | − | 1.03928i | −0.175741 | − | 0.0515788i | ||||
\(407\) | −31.1883 | + | 9.15772i | −1.54595 | + | 0.453931i | ||||
\(408\) | −4.13685 | − | 4.77061i | −0.204804 | − | 0.236180i | ||||
\(409\) | 13.7237 | + | 30.0506i | 0.678592 | + | 1.48591i | 0.864128 | + | 0.503272i | \(0.167870\pi\) |
−0.185536 | + | 0.982637i | \(0.559402\pi\) | |||||||
\(410\) | 5.77301 | + | 12.6370i | 0.285109 | + | 0.624097i | ||||
\(411\) | −4.69010 | − | 7.29793i | −0.231345 | − | 0.359980i | ||||
\(412\) | 3.38748 | − | 23.6018i | 0.166889 | − | 1.16278i | ||||
\(413\) | − | 6.29719i | − | 0.309864i | ||||||
\(414\) | 6.66748 | − | 1.24289i | 0.327689 | − | 0.0610847i | ||||
\(415\) | −36.8412 | −1.80846 | ||||||||
\(416\) | 9.67595 | + | 11.1527i | 0.474403 | + | 0.546808i | ||||
\(417\) | 14.6231 | − | 9.39767i | 0.716094 | − | 0.460206i | ||||
\(418\) | −11.6074 | + | 5.30264i | −0.567735 | + | 0.259360i | ||||
\(419\) | −25.0576 | + | 11.4434i | −1.22414 | + | 0.559047i | −0.919376 | − | 0.393381i | \(-0.871305\pi\) |
−0.304766 | + | 0.952427i | \(0.598578\pi\) | |||||||
\(420\) | −4.00128 | − | 8.75588i | −0.195243 | − | 0.427243i | ||||
\(421\) | −8.96532 | − | 30.5331i | −0.436943 | − | 1.48809i | −0.824296 | − | 0.566160i | \(-0.808429\pi\) |
0.387353 | − | 0.921932i | \(-0.373390\pi\) | |||||||
\(422\) | −36.1312 | − | 10.6042i | −1.75884 | − | 0.516206i | ||||
\(423\) | −0.851046 | + | 1.86353i | −0.0413793 | + | 0.0906080i | ||||
\(424\) | −27.9160 | + | 17.9551i | −1.35572 | + | 0.871979i | ||||
\(425\) | 2.66149 | + | 3.07152i | 0.129101 | + | 0.148991i | ||||
\(426\) | 13.9392 | + | 8.95577i | 0.675357 | + | 0.433908i | ||||
\(427\) | 1.22288 | − | 4.16474i | 0.0591792 | − | 0.201546i | ||||
\(428\) | −31.9101 | + | 4.59601i | −1.54243 | + | 0.222156i | ||||
\(429\) | 6.84810 | − | 10.6558i | 0.330629 | − | 0.514469i | ||||
\(430\) | 1.73309 | + | 2.69601i | 0.0835771 | + | 0.130013i | ||||
\(431\) | −3.79483 | + | 26.3936i | −0.182790 | + | 1.27134i | 0.667336 | + | 0.744757i | \(0.267435\pi\) |
−0.850126 | + | 0.526579i | \(0.823475\pi\) | |||||||
\(432\) | 0.00197260 | + | 4.00000i | 9.49069e−5 | + | 0.192450i | ||||
\(433\) | 1.61112 | + | 11.2056i | 0.0774255 | + | 0.538506i | 0.991209 | + | 0.132305i | \(0.0422377\pi\) |
−0.913784 | + | 0.406201i | \(0.866853\pi\) | |||||||
\(434\) | −1.04385 | − | 0.904280i | −0.0501066 | − | 0.0434068i | ||||
\(435\) | −2.79450 | − | 2.42145i | −0.133986 | − | 0.116100i | ||||
\(436\) | 5.25456 | + | 8.17183i | 0.251648 | + | 0.391359i | ||||
\(437\) | 8.25789 | + | 3.36578i | 0.395028 | + | 0.161007i | ||||
\(438\) | −9.39340 | + | 2.75941i | −0.448834 | + | 0.131850i | ||||
\(439\) | −2.24901 | + | 2.59550i | −0.107340 | + | 0.123876i | −0.806877 | − | 0.590719i | \(-0.798844\pi\) |
0.699537 | + | 0.714596i | \(0.253389\pi\) | |||||||
\(440\) | −35.4840 | − | 5.08843i | −1.69163 | − | 0.242582i | ||||
\(441\) | −0.512766 | − | 3.56636i | −0.0244174 | − | 0.169827i | ||||
\(442\) | 5.39730 | + | 6.22727i | 0.256724 | + | 0.296201i | ||||
\(443\) | 7.73978 | + | 1.11281i | 0.367728 | + | 0.0528713i | 0.323702 | − | 0.946159i | \(-0.395072\pi\) |
0.0440259 | + | 0.999030i | \(0.485982\pi\) | |||||||
\(444\) | −8.77012 | + | 10.1263i | −0.416211 | + | 0.480573i | ||||
\(445\) | −11.1489 | + | 17.3481i | −0.528509 | + | 0.822377i | ||||
\(446\) | −4.24658 | − | 0.610032i | −0.201082 | − | 0.0288859i | ||||
\(447\) | −11.2750 | − | 3.31065i | −0.533291 | − | 0.156588i | ||||
\(448\) | −9.64747 | + | 11.1504i | −0.455800 | + | 0.526808i | ||||
\(449\) | 16.4297 | + | 18.9608i | 0.775363 | + | 0.894817i | 0.996765 | − | 0.0803657i | \(-0.0256088\pi\) |
−0.221402 | + | 0.975183i | \(0.571063\pi\) | |||||||
\(450\) | −0.000317410 | − | 2.57455i | −1.49628e−5 | − | 0.121365i | ||||
\(451\) | −16.6053 | − | 7.58338i | −0.781912 | − | 0.357087i | ||||
\(452\) | −35.6902 | + | 0.00880032i | −1.67873 | + | 0.000413932i | ||||
\(453\) | −2.69670 | − | 9.18412i | −0.126702 | − | 0.431508i | ||||
\(454\) | 2.18357 | + | 15.1738i | 0.102480 | + | 0.712143i | ||||
\(455\) | 5.21910 | + | 11.4282i | 0.244675 | + | 0.535764i | ||||
\(456\) | −2.84172 | + | 4.42540i | −0.133076 | + | 0.207238i | ||||
\(457\) | 6.94514 | − | 4.46337i | 0.324880 | − | 0.208788i | −0.368026 | − | 0.929815i | \(-0.619966\pi\) |
0.692906 | + | 0.721028i | \(0.256330\pi\) | |||||||
\(458\) | 9.37555 | − | 20.5363i | 0.438091 | − | 0.959598i | ||||
\(459\) | 2.23249i | 0.104204i | ||||||||
\(460\) | 14.4079 | + | 20.4914i | 0.671773 | + | 0.955415i | ||||
\(461\) | 5.22218i | 0.243221i | 0.992578 | + | 0.121611i | \(0.0388059\pi\) | ||||
−0.992578 | + | 0.121611i | \(0.961194\pi\) | |||||||
\(462\) | 11.5067 | + | 5.25322i | 0.535340 | + | 0.244402i | ||||
\(463\) | 1.83891 | − | 1.18180i | 0.0854615 | − | 0.0549228i | −0.497212 | − | 0.867629i | \(-0.665643\pi\) |
0.582674 | + | 0.812706i | \(0.302007\pi\) | |||||||
\(464\) | −1.59289 | + | 5.43480i | −0.0739481 | + | 0.252304i | ||||
\(465\) | −0.574837 | − | 1.25872i | −0.0266574 | − | 0.0583717i | ||||
\(466\) | 36.6189 | − | 5.26961i | 1.69634 | − | 0.244110i | ||||
\(467\) | −4.80858 | − | 16.3765i | −0.222515 | − | 0.757815i | −0.992765 | − | 0.120073i | \(-0.961687\pi\) |
0.770250 | − | 0.637742i | \(-0.220131\pi\) | |||||||
\(468\) | −0.00128718 | − | 5.22025i | −5.95001e−5 | − | 0.241306i | ||||
\(469\) | −7.89707 | − | 3.60647i | −0.364653 | − | 0.166531i | ||||
\(470\) | −7.56647 | 0.000932853i | −0.349015 | 4.30293e-5i | ||||||
\(471\) | 14.2601 | + | 16.4570i | 0.657071 | + | 0.758300i | ||||
\(472\) | −9.66376 | + | 0.00357427i | −0.444811 | + | 0.000164519i | ||||
\(473\) | −4.04063 | − | 1.18644i | −0.185788 | − | 0.0545524i | ||||
\(474\) | −2.00820 | + | 13.9796i | −0.0922398 | + | 0.642104i | ||||
\(475\) | 1.83009 | − | 2.84767i | 0.0839702 | − | 0.130660i | ||||
\(476\) | −5.38754 | + | 6.22066i | −0.246938 | + | 0.285123i | ||||
\(477\) | 11.6156 | + | 1.67007i | 0.531842 | + | 0.0764674i | ||||
\(478\) | −21.6001 | + | 18.7212i | −0.987964 | + | 0.856289i | ||||
\(479\) | 1.52925 | + | 10.6361i | 0.0698730 | + | 0.485977i | 0.994469 | + | 0.105029i | \(0.0334935\pi\) |
−0.924596 | + | 0.380949i | \(0.875597\pi\) | |||||||
\(480\) | −13.4346 | + | 6.14540i | −0.613204 | + | 0.280498i | ||||
\(481\) | 11.4488 | − | 13.2126i | 0.522020 | − | 0.602444i | ||||
\(482\) | 5.85431 | + | 19.9289i | 0.266657 | + | 0.907735i | ||||
\(483\) | −2.83892 | − | 8.37082i | −0.129175 | − | 0.380886i | ||||
\(484\) | 21.1130 | − | 13.5758i | 0.959681 | − | 0.617084i | ||||
\(485\) | 23.4979 | + | 20.3610i | 1.06698 | + | 0.924546i | ||||
\(486\) | 0.925981 | − | 1.06891i | 0.0420034 | − | 0.0484865i | ||||
\(487\) | 2.69121 | + | 18.7178i | 0.121951 | + | 0.848185i | 0.955342 | + | 0.295502i | \(0.0954869\pi\) |
−0.833392 | + | 0.552683i | \(0.813604\pi\) | |||||||
\(488\) | −6.39196 | − | 1.87428i | −0.289351 | − | 0.0848448i | ||||
\(489\) | 1.20940 | − | 8.41156i | 0.0546910 | − | 0.380384i | ||||
\(490\) | 11.1940 | − | 7.19587i | 0.505692 | − | 0.325076i | ||||
\(491\) | −10.9268 | + | 17.0024i | −0.493119 | + | 0.767308i | −0.995236 | − | 0.0974913i | \(-0.968918\pi\) |
0.502117 | + | 0.864799i | \(0.332555\pi\) | |||||||
\(492\) | −7.44649 | + | 1.07252i | −0.335714 | + | 0.0483529i | ||||
\(493\) | −0.890525 | + | 3.03285i | −0.0401072 | + | 0.136593i | ||||
\(494\) | 3.71004 | − | 5.77450i | 0.166923 | − | 0.259807i | ||||
\(495\) | 8.29959 | + | 9.57824i | 0.373039 | + | 0.430510i | ||||
\(496\) | −1.38713 | + | 1.60243i | −0.0622840 | + | 0.0719512i | ||||
\(497\) | 8.96994 | − | 19.6414i | 0.402357 | − | 0.881039i | ||||
\(498\) | 5.61819 | − | 19.1425i | 0.251757 | − | 0.857796i | ||||
\(499\) | −8.56623 | − | 29.1739i | −0.383477 | − | 1.30600i | −0.894743 | − | 0.446581i | \(-0.852642\pi\) |
0.511266 | − | 0.859422i | \(-0.329177\pi\) | |||||||
\(500\) | −15.1048 | + | 6.90265i | −0.675509 | + | 0.308696i | ||||
\(501\) | −12.5135 | + | 5.71471i | −0.559061 | + | 0.255314i | ||||
\(502\) | 4.07107 | + | 8.91149i | 0.181701 | + | 0.397739i | ||||
\(503\) | 26.9415 | − | 17.3142i | 1.20126 | − | 0.772003i | 0.222087 | − | 0.975027i | \(-0.428713\pi\) |
0.979174 | + | 0.203024i | \(0.0650769\pi\) | |||||||
\(504\) | 5.15970 | − | 0.743800i | 0.229831 | − | 0.0331315i | ||||
\(505\) | 32.4207 | 1.44270 | ||||||||
\(506\) | −31.9381 | − | 7.95484i | −1.41982 | − | 0.353636i | ||||
\(507\) | − | 6.18726i | − | 0.274786i | ||||||
\(508\) | 1.87273 | − | 13.0479i | 0.0830888 | − | 0.578909i | ||||
\(509\) | −11.8980 | − | 18.5136i | −0.527368 | − | 0.820601i | 0.470728 | − | 0.882278i | \(-0.343991\pi\) |
−0.998096 | + | 0.0616775i | \(0.980355\pi\) | |||||||
\(510\) | −7.49987 | + | 3.42619i | −0.332100 | + | 0.151714i | ||||
\(511\) | 5.30041 | + | 11.6063i | 0.234476 | + | 0.513432i | ||||
\(512\) | 17.1171 | + | 14.7988i | 0.756476 | + | 0.654022i | ||||
\(513\) | 1.78410 | − | 0.523859i | 0.0787699 | − | 0.0231289i | ||||
\(514\) | −8.00483 | + | 27.2744i | −0.353078 | + | 1.20302i | ||||
\(515\) | −28.3215 | − | 12.9340i | −1.24799 | − | 0.569939i | ||||
\(516\) | −1.66513 | + | 0.489371i | −0.0733031 | + | 0.0215434i | ||||
\(517\) | 7.51362 | − | 6.51059i | 0.330449 | − | 0.286335i | ||||
\(518\) | 14.6883 | + | 9.43704i | 0.645367 | + | 0.414640i | ||||
\(519\) | 12.9281 | + | 3.79603i | 0.567480 | + | 0.166627i | ||||
\(520\) | 17.5350 | − | 8.01581i | 0.768961 | − | 0.351516i | ||||
\(521\) | 12.3936 | + | 7.96489i | 0.542974 | + | 0.348948i | 0.783201 | − | 0.621769i | \(-0.213586\pi\) |
−0.240227 | + | 0.970717i | \(0.577222\pi\) | |||||||
\(522\) | 1.68433 | − | 1.08274i | 0.0737210 | − | 0.0473905i | ||||
\(523\) | 22.6053 | + | 3.25016i | 0.988463 | + | 0.142119i | 0.617536 | − | 0.786543i | \(-0.288131\pi\) |
0.370927 | + | 0.928662i | \(0.379040\pi\) | |||||||
\(524\) | 10.9442 | − | 17.0388i | 0.478101 | − | 0.744343i | ||||
\(525\) | −3.32115 | + | 0.477509i | −0.144947 | + | 0.0208402i | ||||
\(526\) | 10.3864 | + | 8.99760i | 0.452867 | + | 0.392314i | ||||
\(527\) | −0.774630 | + | 0.893971i | −0.0337434 | + | 0.0389420i | ||||
\(528\) | 8.05514 | − | 17.6613i | 0.350555 | − | 0.768611i | ||||
\(529\) | 11.2510 | + | 20.0603i | 0.489175 | + | 0.872185i | ||||
\(530\) | 12.2159 | + | 41.5847i | 0.530626 | + | 1.80632i | ||||
\(531\) | 2.58214 | + | 2.23743i | 0.112055 | + | 0.0970964i | ||||
\(532\) | 6.23544 | + | 2.84577i | 0.270341 | + | 0.123380i | ||||
\(533\) | 9.71848 | − | 1.39731i | 0.420954 | − | 0.0605240i | ||||
\(534\) | −7.31378 | − | 8.43846i | −0.316498 | − | 0.365168i | ||||
\(535\) | −5.99120 | + | 41.6697i | −0.259022 | + | 1.80154i | ||||
\(536\) | −5.53006 | + | 12.1210i | −0.238862 | + | 0.523548i | ||||
\(537\) | 21.7871 | + | 14.0017i | 0.940182 | + | 0.604218i | ||||
\(538\) | 4.73833 | − | 32.9847i | 0.204284 | − | 1.42207i | ||||
\(539\) | −4.92613 | + | 16.7769i | −0.212184 | + | 0.722631i | ||||
\(540\) | 5.01200 | + | 1.47031i | 0.215682 | + | 0.0632722i | ||||
\(541\) | 31.9033 | − | 27.6444i | 1.37163 | − | 1.18853i | 0.410689 | − | 0.911775i | \(-0.365288\pi\) |
0.960942 | − | 0.276750i | \(-0.0892572\pi\) | |||||||
\(542\) | −0.00453737 | − | 36.8031i | −0.000194897 | − | 1.58083i | ||||
\(543\) | −0.639389 | + | 1.40007i | −0.0274388 | + | 0.0600826i | ||||
\(544\) | 9.54937 | + | 8.26428i | 0.409426 | + | 0.354328i | ||||
\(545\) | 12.1725 | − | 3.57417i | 0.521413 | − | 0.153101i | ||||
\(546\) | −6.73396 | + | 0.969045i | −0.288187 | + | 0.0414713i | ||||
\(547\) | −18.4816 | + | 8.44026i | −0.790216 | + | 0.360880i | −0.769289 | − | 0.638901i | \(-0.779389\pi\) |
−0.0209275 | + | 0.999781i | \(0.506662\pi\) | |||||||
\(548\) | 11.3652 | + | 13.1096i | 0.485495 | + | 0.560013i | ||||
\(549\) | 1.27324 | + | 1.98120i | 0.0543404 | + | 0.0845554i | ||||
\(550\) | −5.18879 | + | 11.3656i | −0.221251 | + | 0.484629i | ||||
\(551\) | 2.63267 | 0.112155 | ||||||||
\(552\) | −12.8444 | + | 4.36140i | −0.546693 | + | 0.185634i | ||||
\(553\) | 18.4060 | 0.782704 | ||||||||
\(554\) | −3.17433 | + | 6.95308i | −0.134864 | + | 0.295408i | ||||
\(555\) | 9.45728 | + | 14.7158i | 0.401439 | + | 0.624652i | ||||
\(556\) | −26.2680 | + | 22.7727i | −1.11401 | + | 0.965776i | ||||
\(557\) | −23.3541 | + | 10.6655i | −0.989544 | + | 0.451910i | −0.843361 | − | 0.537348i | \(-0.819426\pi\) |
−0.146183 | + | 0.989258i | \(0.546699\pi\) | |||||||
\(558\) | 0.741685 | − | 0.106732i | 0.0313980 | − | 0.00451831i | ||||
\(559\) | 2.17325 | − | 0.638124i | 0.0919187 | − | 0.0269898i | ||||
\(560\) | 10.4173 | + | 16.1921i | 0.440211 | + | 0.684239i | ||||
\(561\) | 4.50062 | − | 9.85499i | 0.190016 | − | 0.416078i | ||||
\(562\) | 0.000183137 | 1.48544i | 7.72515e−6 | 0.0626596i | ||||||
\(563\) | 32.1348 | − | 27.8450i | 1.35432 | − | 1.17353i | 0.386383 | − | 0.922338i | \(-0.373724\pi\) |
0.967938 | − | 0.251188i | \(-0.0808213\pi\) | |||||||
\(564\) | 1.15338 | − | 3.93165i | 0.0485662 | − | 0.165552i | ||||
\(565\) | −13.1300 | + | 44.7165i | −0.552382 | + | 1.88124i | ||||
\(566\) | 5.23542 | − | 36.4451i | 0.220061 | − | 1.53190i | ||||
\(567\) | −1.55050 | − | 0.996447i | −0.0651150 | − | 0.0418468i | ||||
\(568\) | −30.1471 | − | 13.7543i | −1.26495 | − | 0.577116i | ||||
\(569\) | 2.99106 | − | 20.8033i | 0.125392 | − | 0.872120i | −0.825897 | − | 0.563820i | \(-0.809331\pi\) |
0.951289 | − | 0.308300i | \(-0.0997599\pi\) | |||||||
\(570\) | 4.49791 | + | 5.18957i | 0.188397 | + | 0.217367i | ||||
\(571\) | −8.17895 | + | 1.17596i | −0.342278 | + | 0.0492122i | −0.311311 | − | 0.950308i | \(-0.600768\pi\) |
−0.0309677 | + | 0.999520i | \(0.509859\pi\) | |||||||
\(572\) | −10.5181 | + | 23.0465i | −0.439785 | + | 0.963624i | ||||
\(573\) | 18.4491 | + | 15.9862i | 0.770720 | + | 0.667833i | ||||
\(574\) | 2.76350 | + | 9.40734i | 0.115346 | + | 0.392655i | ||||
\(575\) | 8.26815 | − | 2.80410i | 0.344806 | − | 0.116939i | ||||
\(576\) | −1.14438 | − | 7.91773i | −0.0476823 | − | 0.329905i | ||||
\(577\) | −18.5159 | + | 21.3685i | −0.770827 | + | 0.889582i | −0.996411 | − | 0.0846418i | \(-0.973025\pi\) |
0.225584 | + | 0.974224i | \(0.427571\pi\) | |||||||
\(578\) | −12.8439 | − | 11.1266i | −0.534237 | − | 0.462804i | ||||
\(579\) | 1.21963 | − | 0.175356i | 0.0506861 | − | 0.00728756i | ||||
\(580\) | 6.22232 | + | 3.99667i | 0.258368 | + | 0.165953i | ||||
\(581\) | −25.7353 | − | 3.70017i | −1.06768 | − | 0.153509i | ||||
\(582\) | −14.1628 | + | 9.10437i | −0.587069 | + | 0.377388i | ||||
\(583\) | −47.9085 | − | 30.7889i | −1.98417 | − | 1.27515i | ||||
\(584\) | 17.8082 | − | 8.14068i | 0.736907 | − | 0.336864i | ||||
\(585\) | −6.54049 | − | 1.92046i | −0.270416 | − | 0.0794013i | ||||
\(586\) | −40.5264 | − | 26.0377i | −1.67413 | − | 1.07561i | ||||
\(587\) | −26.0822 | + | 22.6004i | −1.07653 | + | 0.932817i | −0.997944 | − | 0.0640906i | \(-0.979585\pi\) |
−0.0785840 | + | 0.996907i | \(0.525040\pi\) | |||||||
\(588\) | 2.03189 | + | 6.91368i | 0.0837938 | + | 0.285115i | ||||
\(589\) | 0.896187 | + | 0.409275i | 0.0369267 | + | 0.0168639i | ||||
\(590\) | −3.55368 | + | 12.1082i | −0.146303 | + | 0.498489i | ||||
\(591\) | 2.83824 | − | 0.833382i | 0.116750 | − | 0.0342807i | ||||
\(592\) | 14.4739 | − | 22.5463i | 0.594874 | − | 0.926646i | ||||
\(593\) | −13.5332 | − | 29.6335i | −0.555740 | − | 1.21690i | −0.954049 | − | 0.299650i | \(-0.903130\pi\) |
0.398309 | − | 0.917251i | \(-0.369597\pi\) | |||||||
\(594\) | −6.24247 | + | 2.85177i | −0.256132 | + | 0.117010i | ||||
\(595\) | 5.80967 | + | 9.04003i | 0.238173 | + | 0.370605i | ||||
\(596\) | 23.2637 | + | 3.33895i | 0.952917 | + | 0.136769i | ||||
\(597\) | − | 8.63753i | − | 0.353511i | ||||||
\(598\) | 16.7641 | − | 5.68777i | 0.685536 | − | 0.232590i | ||||
\(599\) | 26.5132 | 1.08330 | 0.541649 | − | 0.840604i | \(-0.317800\pi\) | ||||
0.541649 | + | 0.840604i | \(0.317800\pi\) | |||||||
\(600\) | 0.734677 | + | 5.09641i | 0.0299931 | + | 0.208060i | ||||
\(601\) | −9.52709 | + | 6.12269i | −0.388618 | + | 0.249750i | −0.720331 | − | 0.693631i | \(-0.756010\pi\) |
0.331713 | + | 0.943380i | \(0.392374\pi\) | |||||||
\(602\) | 0.939868 | + | 2.05735i | 0.0383062 | + | 0.0838514i | ||||
\(603\) | 4.28470 | − | 1.95676i | 0.174487 | − | 0.0796853i | ||||
\(604\) | 7.95687 | + | 17.4118i | 0.323761 | + | 0.708474i | ||||
\(605\) | −9.23434 | − | 31.4493i | −0.375429 | − | 1.27860i | ||||
\(606\) | −4.94408 | + | 16.8457i | −0.200839 | + | 0.684308i | ||||
\(607\) | 10.8811 | − | 23.8262i | 0.441649 | − | 0.967076i | −0.549644 | − | 0.835399i | \(-0.685237\pi\) |
0.991293 | − | 0.131677i | \(-0.0420361\pi\) | |||||||
\(608\) | 4.36363 | − | 9.57062i | 0.176969 | − | 0.388140i | ||||
\(609\) | −1.70889 | − | 1.97216i | −0.0692476 | − | 0.0799160i | ||||
\(610\) | −4.70163 | + | 7.31786i | −0.190363 | + | 0.296292i | ||||
\(611\) | −1.50650 | + | 5.13067i | −0.0609465 | + | 0.207565i | ||||
\(612\) | −0.636524 | − | 4.41938i | −0.0257299 | − | 0.178643i | ||||
\(613\) | 12.5472 | − | 19.5239i | 0.506778 | − | 0.788561i | −0.489747 | − | 0.871865i | \(-0.662911\pi\) |
0.996524 | + | 0.0833034i | \(0.0265471\pi\) | |||||||
\(614\) | 14.8704 | − | 9.55920i | 0.600119 | − | 0.385778i | ||||
\(615\) | −1.39810 | + | 9.72399i | −0.0563768 | + | 0.392109i | ||||
\(616\) | −24.2761 | − | 7.11836i | −0.978113 | − | 0.286807i | ||||
\(617\) | −0.588568 | − | 4.09358i | −0.0236949 | − | 0.164801i | 0.974538 | − | 0.224222i | \(-0.0719839\pi\) |
−0.998233 | + | 0.0594201i | \(0.981075\pi\) | |||||||
\(618\) | 11.0394 | − | 12.7433i | 0.444069 | − | 0.512611i | ||||
\(619\) | 8.50677 | + | 7.37116i | 0.341916 | + | 0.296272i | 0.808844 | − | 0.588024i | \(-0.200094\pi\) |
−0.466928 | + | 0.884295i | \(0.654639\pi\) | |||||||
\(620\) | 1.49682 | + | 2.32783i | 0.0601136 | + | 0.0934878i | ||||
\(621\) | 4.44111 | + | 1.81012i | 0.178216 | + | 0.0726377i | ||||
\(622\) | 5.60379 | + | 19.0761i | 0.224691 | + | 0.764880i | ||||
\(623\) | −9.53039 | + | 10.9987i | −0.381827 | + | 0.440652i | ||||
\(624\) | 1.49093 | + | 10.3335i | 0.0596851 | + | 0.413671i | ||||
\(625\) | 4.38162 | + | 30.4749i | 0.175265 | + | 1.21899i | ||||
\(626\) | −25.2568 | + | 21.8906i | −1.00947 | + | 0.874925i | ||||
\(627\) | −8.93171 | − | 1.28419i | −0.356698 | − | 0.0512854i | ||||
\(628\) | −32.9211 | − | 28.5121i | −1.31370 | − | 1.13776i | ||||
\(629\) | 8.08442 | − | 12.5796i | 0.322347 | − | 0.501582i | ||||
\(630\) | 0.967933 | − | 6.73802i | 0.0385634 | − | 0.268449i | ||||
\(631\) | −29.7434 | − | 8.73345i | −1.18407 | − | 0.347673i | −0.370326 | − | 0.928902i | \(-0.620754\pi\) |
−0.813740 | + | 0.581228i | \(0.802572\pi\) | |||||||
\(632\) | −0.0104472 | − | 28.2462i | −0.000415568 | − | 1.12357i | ||||
\(633\) | −17.4365 | − | 20.1228i | −0.693038 | − | 0.799808i | ||||
\(634\) | −20.4095 | + | 0.00251624i | −0.810564 | + | 9.99325e-5i | ||||
\(635\) | −15.6572 | − | 7.15038i | −0.621335 | − | 0.283754i | ||||
\(636\) | −23.4701 | + | 0.00578715i | −0.930650 | + | 0.000229475i | ||||
\(637\) | −2.64952 | − | 9.02343i | −0.104978 | − | 0.357521i | ||||
\(638\) | −9.61797 | + | 1.38407i | −0.380779 | + | 0.0547957i | ||||
\(639\) | 4.86681 | + | 10.6568i | 0.192528 | + | 0.421578i | ||||
\(640\) | 24.8427 | − | 15.9957i | 0.981993 | − | 0.632287i | ||||
\(641\) | 38.8596 | − | 24.9736i | 1.53486 | − | 0.986397i | 0.545964 | − | 0.837809i | \(-0.316163\pi\) |
0.988899 | − | 0.148588i | \(-0.0474729\pi\) | |||||||
\(642\) | −20.7378 | − | 9.46752i | −0.818454 | − | 0.373653i | ||||
\(643\) | − | 28.9678i | − | 1.14238i | −0.820818 | − | 0.571189i | \(-0.806482\pi\) | ||
0.820818 | − | 0.571189i | \(-0.193518\pi\) | |||||||
\(644\) | 8.00652 | + | 15.7612i | 0.315501 | + | 0.621079i | ||||
\(645\) | 2.26629i | 0.0892349i | ||||||||
\(646\) | 2.43808 | − | 5.34039i | 0.0959249 | − | 0.210115i | ||||
\(647\) | 23.3498 | − | 15.0060i | 0.917976 | − | 0.589948i | 0.00590657 | − | 0.999983i | \(-0.498120\pi\) |
0.912070 | + | 0.410035i | \(0.134484\pi\) | |||||||
\(648\) | −1.52828 | + | 2.37999i | −0.0600366 | + | 0.0934948i | ||||
\(649\) | −6.88785 | − | 15.0823i | −0.270372 | − | 0.592032i | ||||
\(650\) | −0.957159 | − | 6.65137i | −0.0375429 | − | 0.260888i | ||||
\(651\) | −0.275130 | − | 0.937006i | −0.0107832 | − | 0.0367242i | ||||
\(652\) | 0.00419082 | + | 16.9961i | 0.000164125 | + | 0.665619i | ||||
\(653\) | −19.8169 | − | 9.05009i | −0.775497 | − | 0.354157i | −0.0119655 | − | 0.999928i | \(-0.503809\pi\) |
−0.763531 | + | 0.645771i | \(0.776536\pi\) | |||||||
\(654\) | 0.000846965 | 6.86983i | 3.31190e−5 | 0.268632i | ||||||
\(655\) | −17.3169 | − | 19.9847i | −0.676627 | − | 0.780869i | ||||
\(656\) | 14.4351 | − | 4.24626i | 0.563595 | − | 0.165788i | ||||
\(657\) | −6.64238 | − | 1.95038i | −0.259144 | − | 0.0760915i | ||||
\(658\) | −5.28562 | − | 0.759292i | −0.206055 | − | 0.0296003i | ||||
\(659\) | 10.9176 | − | 16.9882i | 0.425291 | − | 0.661766i | −0.560804 | − | 0.827949i | \(-0.689508\pi\) |
0.986095 | + | 0.166183i | \(0.0531442\pi\) | |||||||
\(660\) | −19.1606 | − | 16.5945i | −0.745824 | − | 0.645938i | ||||
\(661\) | −40.4903 | − | 5.82162i | −1.57489 | − | 0.226435i | −0.701216 | − | 0.712949i | \(-0.747359\pi\) |
−0.873673 | + | 0.486514i | \(0.838268\pi\) | |||||||
\(662\) | 30.5055 | + | 35.1964i | 1.18563 | + | 1.36795i | ||||
\(663\) | 0.829280 | + | 5.76777i | 0.0322066 | + | 0.224002i | ||||
\(664\) | −5.66373 | + | 39.4958i | −0.219796 | + | 1.53274i | ||||
\(665\) | 5.86110 | − | 6.76407i | 0.227284 | − | 0.262299i | ||||
\(666\) | −9.08848 | + | 2.66984i | −0.352171 | + | 0.103454i | ||||
\(667\) | 5.31122 | + | 4.23058i | 0.205651 | + | 0.163809i | ||||
\(668\) | 23.1420 | − | 14.8805i | 0.895389 | − | 0.575744i | ||||
\(669\) | −2.29265 | − | 1.98659i | −0.0886390 | − | 0.0768062i | ||||
\(670\) | 13.1493 | + | 11.3911i | 0.508000 | + | 0.440075i | ||||
\(671\) | −1.62649 | − | 11.3125i | −0.0627899 | − | 0.436713i | ||||
\(672\) | −10.0019 | + | 2.94353i | −0.385832 | + | 0.113549i | ||||
\(673\) | −3.05352 | + | 21.2377i | −0.117704 | + | 0.818653i | 0.842368 | + | 0.538902i | \(0.181161\pi\) |
−0.960073 | + | 0.279750i | \(0.909748\pi\) | |||||||
\(674\) | 10.2609 | + | 15.9619i | 0.395234 | + | 0.614829i | ||||
\(675\) | 0.984225 | − | 1.53148i | 0.0378828 | − | 0.0589469i | ||||
\(676\) | 1.76410 | + | 12.2481i | 0.0678499 | + | 0.471082i | ||||
\(677\) | 0.992982 | − | 3.38178i | 0.0381634 | − | 0.129973i | −0.938208 | − | 0.346072i | \(-0.887515\pi\) |
0.976371 | + | 0.216099i | \(0.0693335\pi\) | |||||||
\(678\) | −21.2322 | − | 13.6414i | −0.815418 | − | 0.523895i | ||||
\(679\) | 14.3694 | + | 16.5831i | 0.551445 | + | 0.636402i | ||||
\(680\) | 13.8697 | − | 8.92075i | 0.531878 | − | 0.342095i | ||||
\(681\) | −4.50311 | + | 9.86044i | −0.172560 | + | 0.377853i | ||||
\(682\) | −3.48922 | − | 1.02406i | −0.133609 | − | 0.0392133i | ||||
\(683\) | −3.65308 | − | 12.4412i | −0.139781 | − | 0.476051i | 0.859610 | − | 0.510951i | \(-0.170707\pi\) |
−0.999391 | + | 0.0349004i | \(0.988889\pi\) | |||||||
\(684\) | −3.38239 | + | 1.54570i | −0.129329 | + | 0.0591011i | ||||
\(685\) | 20.6085 | − | 9.41158i | 0.787410 | − | 0.359598i | ||||
\(686\) | 25.1381 | − | 11.4839i | 0.959776 | − | 0.438458i | ||||
\(687\) | 13.4290 | − | 8.63030i | 0.512349 | − | 0.329266i | ||||
\(688\) | 3.15671 | − | 1.44350i | 0.120349 | − | 0.0550331i | ||||
\(689\) | 30.6299 | 1.16691 | ||||||||
\(690\) | 0.734794 | + | 17.6975i | 0.0279731 | + | 0.673733i | ||||
\(691\) | − | 31.3390i | − | 1.19219i | −0.802914 | − | 0.596095i | \(-0.796718\pi\) | ||
0.802914 | − | 0.596095i | \(-0.203282\pi\) | |||||||
\(692\) | −26.6744 | − | 3.82849i | −1.01401 | − | 0.145537i | ||||
\(693\) | 4.83564 | + | 7.52441i | 0.183691 | + | 0.285829i | ||||
\(694\) | −7.18922 | − | 15.7371i | −0.272899 | − | 0.597370i | ||||
\(695\) | 18.8582 | + | 41.2938i | 0.715333 | + | 1.56636i | ||||
\(696\) | −3.02554 | + | 2.62360i | −0.114683 | + | 0.0994474i | ||||
\(697\) | 8.05772 | − | 2.36596i | 0.305208 | − | 0.0896172i | ||||
\(698\) | −2.54474 | − | 0.746861i | −0.0963197 | − | 0.0282691i | ||||
\(699\) | 23.7961 | + | 10.8673i | 0.900053 | + | 0.411040i | ||||
\(700\) | 6.43830 | − | 1.89218i | 0.243345 | − | 0.0715177i | ||||
\(701\) | 7.65820 | − | 6.63587i | 0.289246 | − | 0.250633i | −0.498135 | − | 0.867099i | \(-0.665982\pi\) |
0.787382 | + | 0.616466i | \(0.211436\pi\) | |||||||
\(702\) | 1.99527 | − | 3.10554i | 0.0753066 | − | 0.117211i | ||||
\(703\) | −11.9500 | − | 3.50885i | −0.450704 | − | 0.132339i | ||||
\(704\) | −10.9102 | + | 37.2586i | −0.411193 | + | 1.40424i | ||||
\(705\) | −4.50096 | − | 2.89259i | −0.169516 | − | 0.108941i | ||||
\(706\) | −28.3276 | − | 44.0667i | −1.06612 | − | 1.65847i | ||||
\(707\) | 22.6474 | + | 3.25620i | 0.851742 | + | 0.122462i | ||||
\(708\) | −5.74946 | − | 3.69295i | −0.216078 | − | 0.138790i | ||||
\(709\) | −19.7779 | + | 2.84364i | −0.742776 | + | 0.106795i | −0.503306 | − | 0.864109i | \(-0.667883\pi\) |
−0.239471 | + | 0.970904i | \(0.576974\pi\) | |||||||
\(710\) | −28.3316 | + | 32.7046i | −1.06327 | + | 1.22738i | ||||
\(711\) | −6.53979 | + | 7.54732i | −0.245261 | + | 0.283047i | ||||
\(712\) | 16.8841 | + | 14.6192i | 0.632759 | + | 0.547879i | ||||
\(713\) | 1.15031 | + | 2.26581i | 0.0430793 | + | 0.0848554i | ||||
\(714\) | −5.58312 | + | 1.64010i | −0.208943 | + | 0.0613791i | ||||
\(715\) | 25.0004 | + | 21.6629i | 0.934961 | + | 0.810148i | ||||
\(716\) | −47.1213 | − | 21.5055i | −1.76100 | − | 0.803699i | ||||
\(717\) | −20.0062 | + | 2.87646i | −0.747147 | + | 0.107424i | ||||
\(718\) | 3.06409 | − | 2.65571i | 0.114351 | − | 0.0991101i | ||||
\(719\) | 5.93536 | − | 41.2813i | 0.221352 | − | 1.53953i | −0.511582 | − | 0.859234i | \(-0.670941\pi\) |
0.732934 | − | 0.680300i | \(-0.238150\pi\) | |||||||
\(720\) | −10.3408 | − | 1.48158i | −0.385380 | − | 0.0552153i | ||||
\(721\) | −18.4848 | − | 11.8795i | −0.688410 | − | 0.442414i | ||||
\(722\) | 21.7572 | + | 3.12547i | 0.809717 | + | 0.116318i | ||||
\(723\) | −4.13789 | + | 14.0924i | −0.153890 | + | 0.524100i | ||||
\(724\) | 0.866534 | − | 2.95384i | 0.0322045 | − | 0.109778i | ||||
\(725\) | 1.94797 | − | 1.68793i | 0.0723458 | − | 0.0626880i | ||||
\(726\) | 17.7491 | − | 0.00218825i | 0.658731 | − | 8.12134e-5i | ||||
\(727\) | −1.62780 | + | 3.56439i | −0.0603718 | + | 0.132196i | −0.937413 | − | 0.348219i | \(-0.886787\pi\) |
0.877041 | + | 0.480415i | \(0.159514\pi\) | |||||||
\(728\) | 13.0541 | − | 3.83827i | 0.483816 | − | 0.142256i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | −3.64189 | − | 25.3077i | −0.134792 | − | 0.936682i | ||||
\(731\) | 1.76223 | − | 0.804784i | 0.0651785 | − | 0.0297660i | ||||
\(732\) | −3.08534 | − | 3.55890i | −0.114037 | − | 0.131541i | ||||
\(733\) | 5.13833 | + | 7.99540i | 0.189789 | + | 0.295317i | 0.923088 | − | 0.384589i | \(-0.125657\pi\) |
−0.733299 | + | 0.679906i | \(0.762021\pi\) | |||||||
\(734\) | −27.6488 | − | 12.6227i | −1.02054 | − | 0.465911i | ||||
\(735\) | 9.40971 | 0.347082 | ||||||||
\(736\) | 24.1829 | − | 12.2959i | 0.891393 | − | 0.453232i | ||||
\(737\) | −22.8589 | −0.842018 | ||||||||
\(738\) | −4.83933 | − | 2.20933i | −0.178138 | − | 0.0813265i | ||||
\(739\) | 10.8062 | + | 16.8148i | 0.397512 | + | 0.618541i | 0.981098 | − | 0.193510i | \(-0.0619873\pi\) |
−0.583586 | + | 0.812051i | \(0.698351\pi\) | |||||||
\(740\) | −22.9171 | − | 26.4346i | −0.842450 | − | 0.971755i | ||||
\(741\) | 4.41473 | − | 2.01614i | 0.162179 | − | 0.0740647i | ||||
\(742\) | 4.35680 | + | 30.2757i | 0.159943 | + | 1.11146i | ||||
\(743\) | −10.2560 | + | 3.01142i | −0.376255 | + | 0.110478i | −0.464391 | − | 0.885630i | \(-0.653727\pi\) |
0.0881368 | + | 0.996108i | \(0.471909\pi\) | |||||||
\(744\) | −1.43779 | + | 0.422751i | −0.0527119 | + | 0.0154988i | ||||
\(745\) | 12.7487 | − | 27.9157i | 0.467076 | − | 1.02275i | ||||
\(746\) | 24.7391 | − | 0.00305003i | 0.905764 | − | 0.000111669i | ||||
\(747\) | 10.6612 | − | 9.23794i | 0.390071 | − | 0.337999i | ||||
\(748\) | −6.09948 | + | 20.7919i | −0.223019 | + | 0.760226i | ||||
\(749\) | −8.37026 | + | 28.5065i | −0.305843 | + | 1.04160i | ||||
\(750\) | −11.6238 | − | 1.66979i | −0.424442 | − | 0.0609721i | ||||
\(751\) | −10.0792 | − | 6.47750i | −0.367795 | − | 0.236367i | 0.343668 | − | 0.939091i | \(-0.388331\pi\) |
−0.711463 | + | 0.702724i | \(0.751967\pi\) | |||||||
\(752\) | −1.16222 | + | 8.11183i | −0.0423819 | + | 0.295808i | ||||
\(753\) | −0.985926 | + | 6.85727i | −0.0359291 | + | 0.249893i | ||||
\(754\) | 3.94936 | − | 3.42299i | 0.143827 | − | 0.124658i | ||||
\(755\) | 24.7434 | − | 3.55757i | 0.900506 | − | 0.129473i | ||||
\(756\) | 3.35344 | + | 1.53046i | 0.121963 | + | 0.0556624i | ||||
\(757\) | −11.6174 | − | 10.0665i | −0.422241 | − | 0.365874i | 0.417670 | − | 0.908599i | \(-0.362847\pi\) |
−0.839910 | + | 0.542725i | \(0.817392\pi\) | |||||||
\(758\) | −5.69808 | + | 1.67387i | −0.206964 | + | 0.0607977i | ||||
\(759\) | −15.9554 | − | 16.9436i | −0.579146 | − | 0.615014i | ||||
\(760\) | −10.3836 | − | 8.99070i | −0.376652 | − | 0.326127i | ||||
\(761\) | 27.4361 | − | 31.6629i | 0.994556 | − | 1.14778i | 0.00553843 | − | 0.999985i | \(-0.498237\pi\) |
0.989018 | − | 0.147795i | \(-0.0472175\pi\) | |||||||
\(762\) | 6.10298 | − | 7.04497i | 0.221088 | − | 0.255212i | ||||
\(763\) | 8.86203 | − | 1.27417i | 0.320827 | − | 0.0461280i | ||||
\(764\) | −41.0792 | − | 26.3857i | −1.48619 | − | 0.954601i | ||||
\(765\) | −5.77105 | − | 0.829751i | −0.208653 | − | 0.0299997i | ||||
\(766\) | 3.65912 | + | 5.69217i | 0.132210 | + | 0.205666i | ||||
\(767\) | 7.50221 | + | 4.82138i | 0.270889 | + | 0.174090i | ||||
\(768\) | 4.52286 | + | 15.3474i | 0.163205 | + | 0.553803i | ||||
\(769\) | −14.3676 | − | 4.21871i | −0.518110 | − | 0.152131i | 0.0122150 | − | 0.999925i | \(-0.496112\pi\) |
−0.530325 | + | 0.847795i | \(0.677930\pi\) | |||||||
\(770\) | −17.8564 | + | 27.7926i | −0.643499 | + | 1.00158i | ||||
\(771\) | −15.1901 | + | 13.1623i | −0.547058 | + | 0.474028i | ||||
\(772\) | −2.36435 | + | 0.694869i | −0.0850948 | + | 0.0250089i | ||||
\(773\) | 19.9535 | + | 9.11245i | 0.717677 | + | 0.327752i | 0.740564 | − | 0.671986i | \(-0.234558\pi\) |
−0.0228868 | + | 0.999738i | \(0.507286\pi\) | |||||||
\(774\) | −1.17755 | − | 0.345602i | −0.0423262 | − | 0.0124224i | ||||
\(775\) | 0.925514 | − | 0.271755i | 0.0332454 | − | 0.00976174i | ||||
\(776\) | 25.4406 | − | 22.0608i | 0.913263 | − | 0.791938i | ||||
\(777\) | 5.12835 | + | 11.2295i | 0.183979 | + | 0.402857i | ||||
\(778\) | −2.97368 | − | 6.50932i | −0.106612 | − | 0.233370i | ||||
\(779\) | −3.78152 | − | 5.88416i | −0.135487 | − | 0.210822i | ||||
\(780\) | 13.4949 | + | 1.93688i | 0.483196 | + | 0.0693515i | ||||
\(781\) | − | 56.8542i | − | 2.03440i | ||||||
\(782\) | 13.5004 | − | 6.85596i | 0.482774 | − | 0.245169i | ||||
\(783\) | 1.41586 | 0.0505986 | ||||||||
\(784\) | −5.99349 | − | 13.1068i | −0.214053 | − | 0.468100i | ||||
\(785\) | −47.8419 | + | 30.7461i | −1.70755 | + | 1.09738i | ||||
\(786\) | 13.0248 | − | 5.95015i | 0.464578 | − | 0.212235i | ||||
\(787\) | 31.3360 | − | 14.3107i | 1.11701 | − | 0.510121i | 0.230612 | − | 0.973046i | \(-0.425927\pi\) |
0.886397 | + | 0.462925i | \(0.153200\pi\) | |||||||
\(788\) | −5.38089 | + | 2.45897i | −0.191686 | + | 0.0875972i | ||||
\(789\) | 2.73755 | + | 9.32323i | 0.0974592 | + | 0.331916i | ||||
\(790\) | −35.3912 | − | 10.3870i | −1.25916 | − | 0.369554i | ||||
\(791\) | −13.6630 | + | 29.9178i | −0.485801 | + | 1.06376i | ||||
\(792\) | 11.5443 | − | 7.42513i | 0.410210 | − | 0.263840i | ||||
\(793\) | 4.02541 | + | 4.64557i | 0.142947 | + | 0.164969i | ||||
\(794\) | 7.20946 | + | 4.63198i | 0.255854 | + | 0.164383i | ||||
\(795\) | −8.63435 | + | 29.4059i | −0.306229 | + | 1.04292i | ||||
\(796\) | 2.46271 | + | 17.0986i | 0.0872886 | + | 0.606044i | ||||
\(797\) | −4.07432 | + | 6.33976i | −0.144320 | + | 0.224566i | −0.905886 | − | 0.423521i | \(-0.860794\pi\) |
0.761567 | + | 0.648087i | \(0.224430\pi\) | |||||||
\(798\) | 2.62078 | + | 4.07690i | 0.0927744 | + | 0.144321i | ||||
\(799\) | −0.650896 | + | 4.52708i | −0.0230270 | + | 0.160157i | ||||
\(800\) | −2.90742 | − | 9.87924i | −0.102793 | − | 0.349284i | ||||
\(801\) | −1.12374 | − | 7.81580i | −0.0397055 | − | 0.276158i | ||||
\(802\) | 29.5385 | + | 25.5889i | 1.04304 | + | 0.903575i | ||||
\(803\) | 25.3898 | + | 22.0004i | 0.895988 | + | 0.776378i | ||||
\(804\) | −7.92397 | + | 5.09519i | −0.279457 | + | 0.179693i | ||||
\(805\) | 22.6939 | − | 4.22749i | 0.799855 | − | 0.148999i | ||||
\(806\) | 1.87654 | − | 0.551253i | 0.0660983 | − | 0.0194171i | ||||
\(807\) | 15.4305 | − | 17.8078i | 0.543181 | − | 0.626864i | ||||
\(808\) | 4.98416 | − | 34.7568i | 0.175342 | − | 1.22274i | ||||
\(809\) | 3.39877 | + | 23.6390i | 0.119495 | + | 0.831103i | 0.958114 | + | 0.286386i | \(0.0924538\pi\) |
−0.838620 | + | 0.544717i | \(0.816637\pi\) | |||||||
\(810\) | 2.41898 | + | 2.79096i | 0.0849945 | + | 0.0980644i | ||||
\(811\) | 5.75532 | + | 0.827490i | 0.202097 | + | 0.0290571i | 0.242620 | − | 0.970122i | \(-0.421993\pi\) |
−0.0405230 | + | 0.999179i | \(0.512902\pi\) | |||||||
\(812\) | 3.94516 | + | 3.41680i | 0.138448 | + | 0.119906i | ||||
\(813\) | 14.0695 | − | 21.8926i | 0.493439 | − | 0.767806i | ||||
\(814\) | 45.5019 | + | 6.53646i | 1.59484 | + | 0.229103i | ||||
\(815\) | 21.2946 | + | 6.25265i | 0.745916 | + | 0.219021i | ||||
\(816\) | 2.52009 | + | 8.56700i | 0.0882208 | + | 0.299905i | ||||
\(817\) | −1.05666 | − | 1.21945i | −0.0369677 | − | 0.0426630i | ||||
\(818\) | −0.00576000 | − | 46.7200i | −0.000201394 | − | 1.63353i | ||||
\(819\) | −4.37595 | − | 1.99843i | −0.152908 | − | 0.0698307i | ||||
\(820\) | −0.00484470 | − | 19.6480i | −0.000169184 | − | 0.686137i | ||||
\(821\) | −5.87424 | − | 20.0058i | −0.205012 | − | 0.698208i | −0.996236 | − | 0.0866814i | \(-0.972374\pi\) |
0.791224 | − | 0.611527i | \(-0.209444\pi\) | |||||||
\(822\) | 1.74747 | + | 12.1433i | 0.0609501 | + | 0.423547i | ||||
\(823\) | −3.25128 | − | 7.11932i | −0.113333 | − | 0.248164i | 0.844463 | − | 0.535614i | \(-0.179920\pi\) |
−0.957796 | + | 0.287450i | \(0.907192\pi\) | |||||||
\(824\) | −18.2199 | + | 28.3738i | −0.634721 | + | 0.988448i | ||||
\(825\) | −7.43212 | + | 4.77633i | −0.258753 | + | 0.166291i | ||||
\(826\) | −3.69851 | + | 8.10125i | −0.128688 | + | 0.281878i | ||||
\(827\) | 15.5514i | 0.540776i | 0.962751 | + | 0.270388i | \(0.0871520\pi\) | ||||
−0.962751 | + | 0.270388i | \(0.912848\pi\) | |||||||
\(828\) | −9.30760 | − | 2.31703i | −0.323461 | − | 0.0805223i | ||||
\(829\) | 28.7722i | 0.999301i | 0.866227 | + | 0.499650i | \(0.166538\pi\) | ||||
−0.866227 | + | 0.499650i | \(0.833462\pi\) | |||||||
\(830\) | 47.3957 | + | 21.6378i | 1.64513 | + | 0.751060i | ||||
\(831\) | −4.54673 | + | 2.92200i | −0.157724 | + | 0.101363i | ||||
\(832\) | −5.89767 | − | 20.0308i | −0.204465 | − | 0.694443i | ||||
\(833\) | −3.34150 | − | 7.31686i | −0.115776 | − | 0.253514i | ||||
\(834\) | −24.3319 | + | 3.50146i | −0.842544 | + | 0.121246i | ||||
\(835\) | −10.1218 | − | 34.4716i | −0.350278 | − | 1.19294i | ||||
\(836\) | 18.0471 | − | 0.00444997i | 0.624172 | − | 0.000153905i | ||||
\(837\) | 0.481971 | + | 0.220109i | 0.0166594 | + | 0.00760808i | ||||
\(838\) | 38.9572 | − | 0.00480294i | 1.34575 | − | 0.000165915i | ||||
\(839\) | −10.3234 | − | 11.9139i | −0.356404 | − | 0.411312i | 0.549027 | − | 0.835804i | \(-0.314998\pi\) |
−0.905432 | + | 0.424492i | \(0.860453\pi\) | |||||||
\(840\) | 0.00503545 | + | 13.6144i | 0.000173740 | + | 0.469741i | ||||
\(841\) | −25.9019 | − | 7.60547i | −0.893167 | − | 0.262258i | ||||
\(842\) | −6.39914 | + | 44.5460i | −0.220529 | + | 1.53516i | ||||
\(843\) | −0.567871 | + | 0.883624i | −0.0195585 | + | 0.0304336i | ||||
\(844\) | 40.2541 | + | 34.8630i | 1.38560 | + | 1.20003i | ||||
\(845\) | 15.9942 | + | 2.29962i | 0.550217 | + | 0.0791093i | ||||
\(846\) | 2.18936 | − | 1.89757i | 0.0752718 | − | 0.0652397i | ||||
\(847\) | −3.29198 | − | 22.8962i | −0.113114 | − | 0.786723i | ||||
\(848\) | 46.4591 | − | 6.70320i | 1.59541 | − | 0.230189i | ||||
\(849\) | 17.0494 | − | 19.6760i | 0.585133 | − | 0.675279i | ||||
\(850\) | −1.61998 | − | 5.51464i | −0.0555649 | − | 0.189150i | ||||
\(851\) | −18.4698 | − | 26.2820i | −0.633136 | − | 0.900936i | ||||
\(852\) | −12.6727 | − | 19.7083i | −0.434158 | − | 0.675197i | ||||
\(853\) | 21.3236 | + | 18.4770i | 0.730108 | + | 0.632642i | 0.938450 | − | 0.345414i | \(-0.112261\pi\) |
−0.208343 | + | 0.978056i | \(0.566807\pi\) | |||||||
\(854\) | −4.01928 | + | 4.63965i | −0.137537 | + | 0.158766i | ||||
\(855\) | 0.691091 | + | 4.80664i | 0.0236348 | + | 0.164384i | ||||
\(856\) | 43.7512 | + | 12.8290i | 1.49539 | + | 0.438484i | ||||
\(857\) | −7.12206 | + | 49.5350i | −0.243285 | + | 1.69208i | 0.392128 | + | 0.919910i | \(0.371739\pi\) |
−0.635413 | + | 0.772172i | \(0.719170\pi\) | |||||||
\(858\) | −15.0685 | + | 9.68653i | −0.514429 | + | 0.330693i | ||||
\(859\) | 1.73528 | − | 2.70015i | 0.0592070 | − | 0.0921279i | −0.810388 | − | 0.585894i | \(-0.800744\pi\) |
0.869595 | + | 0.493766i | \(0.164380\pi\) | |||||||
\(860\) | −0.646158 | − | 4.48628i | −0.0220338 | − | 0.152981i | ||||
\(861\) | −1.95327 | + | 6.65223i | −0.0665673 | + | 0.226707i | ||||
\(862\) | 20.3837 | − | 31.7262i | 0.694271 | − | 1.08060i | ||||
\(863\) | −0.498304 | − | 0.575073i | −0.0169625 | − | 0.0195757i | 0.747205 | − | 0.664594i | \(-0.231395\pi\) |
−0.764167 | + | 0.645018i | \(0.776850\pi\) | |||||||
\(864\) | 2.34677 | − | 5.14710i | 0.0798387 | − | 0.175108i | ||||
\(865\) | −14.6178 | + | 32.0085i | −0.497020 | + | 1.08832i | ||||
\(866\) | 4.50866 | − | 15.3621i | 0.153210 | − | 0.522025i | ||||
\(867\) | −3.38529 | − | 11.5292i | −0.114971 | − | 0.391554i | ||||
\(868\) | 0.811797 | + | 1.77643i | 0.0275542 | + | 0.0602959i | ||||
\(869\) | 44.0840 | − | 20.1325i | 1.49545 | − | 0.682948i | ||||
\(870\) | 2.17291 | + | 4.75645i | 0.0736684 | + | 0.161259i | ||||
\(871\) | 10.3429 | − | 6.64698i | 0.350456 | − | 0.225224i | ||||
\(872\) | −1.96039 | − | 13.5991i | −0.0663871 | − | 0.460523i | ||||
\(873\) | −11.9054 | −0.402936 | ||||||||
\(874\) | −8.64685 | − | 9.18010i | −0.292484 | − | 0.310522i | ||||
\(875\) | 15.3043i | 0.517381i | ||||||||
\(876\) | 13.7052 | + | 1.96706i | 0.463054 | + | 0.0664607i | ||||
\(877\) | −8.45381 | − | 13.1544i | −0.285465 | − | 0.444192i | 0.668674 | − | 0.743555i | \(-0.266862\pi\) |
−0.954139 | + | 0.299363i | \(0.903226\pi\) | |||||||
\(878\) | 4.41773 | − | 2.01817i | 0.149091 | − | 0.0681099i | ||||
\(879\) | −14.1496 | − | 30.9833i | −0.477254 | − | 1.04504i | ||||
\(880\) | 42.6611 | + | 27.3869i | 1.43811 | + | 0.923212i | ||||
\(881\) | −6.60681 | + | 1.93993i | −0.222589 | + | 0.0653580i | −0.391125 | − | 0.920337i | \(-0.627914\pi\) |
0.168536 | + | 0.985695i | \(0.446096\pi\) | |||||||
\(882\) | −1.43496 | + | 4.88924i | −0.0483175 | + | 0.164629i | ||||
\(883\) | −42.2286 | − | 19.2851i | −1.42110 | − | 0.648997i | −0.451187 | − | 0.892430i | \(-0.648999\pi\) |
−0.969918 | + | 0.243433i | \(0.921726\pi\) | |||||||
\(884\) | −3.28611 | − | 11.1813i | −0.110524 | − | 0.376067i | ||||
\(885\) | −6.74352 | + | 5.84329i | −0.226681 | + | 0.196420i | ||||
\(886\) | −9.30353 | − | 5.97740i | −0.312558 | − | 0.200815i | ||||
\(887\) | −36.7135 | − | 10.7801i | −1.23272 | − | 0.361959i | −0.400444 | − | 0.916321i | \(-0.631144\pi\) |
−0.832276 | + | 0.554362i | \(0.812962\pi\) | |||||||
\(888\) | 17.2301 | − | 7.87642i | 0.578204 | − | 0.264315i | ||||
\(889\) | −10.2191 | − | 6.56741i | −0.342737 | − | 0.220264i | ||||
\(890\) | 24.5319 | − | 15.7700i | 0.822311 | − | 0.528611i | ||||
\(891\) | −4.80349 | − | 0.690638i | −0.160923 | − | 0.0231372i | ||||
\(892\) | 5.10488 | + | 3.27893i | 0.170924 | + | 0.109787i | ||||
\(893\) | 3.77056 | − | 0.542124i | 0.126177 | − | 0.0181415i | ||||
\(894\) | 12.5607 | + | 10.8812i | 0.420094 | + | 0.363923i | ||||
\(895\) | −44.2923 | + | 51.1161i | −1.48053 | + | 1.70862i | ||||
\(896\) | 18.9603 | − | 8.67865i | 0.633418 | − | 0.289933i | ||||
\(897\) | 12.1462 | + | 3.02686i | 0.405551 | + | 0.101064i | ||||
\(898\) | −10.0003 | − | 34.0424i | −0.333715 | − | 1.13601i | ||||
\(899\) | 0.566960 | + | 0.491274i | 0.0189092 | + | 0.0163849i | ||||
\(900\) | −1.51169 | + | 3.31230i | −0.0503897 | + | 0.110410i | ||||
\(901\) | 25.9318 | − | 3.72843i | 0.863912 | − | 0.124212i | ||||
\(902\) | 16.9085 | + | 19.5086i | 0.562993 | + | 0.649567i | ||||
\(903\) | −0.227616 | + | 1.58310i | −0.00757458 | + | 0.0526824i | ||||
\(904\) | 45.9201 | + | 20.9505i | 1.52728 | + | 0.696803i | ||||
\(905\) | −3.38156 | − | 2.17320i | −0.112407 | − | 0.0722396i | ||||
\(906\) | −1.92481 | + | 13.3991i | −0.0639476 | + | 0.445155i | ||||
\(907\) | 1.32242 | − | 4.50376i | 0.0439104 | − | 0.149545i | −0.934620 | − | 0.355648i | \(-0.884260\pi\) |
0.978530 | + | 0.206103i | \(0.0660783\pi\) | |||||||
\(908\) | 6.10285 | − | 20.8034i | 0.202530 | − | 0.690384i | ||||
\(909\) | −9.38196 | + | 8.12951i | −0.311180 | + | 0.269639i | ||||
\(910\) | −0.00219053 | − | 17.7676i | −7.26152e−5 | − | 0.588990i | ||||
\(911\) | −6.96032 | + | 15.2410i | −0.230606 | + | 0.504956i | −0.989194 | − | 0.146615i | \(-0.953162\pi\) |
0.758588 | + | 0.651571i | \(0.225890\pi\) | |||||||
\(912\) | 6.25499 | − | 4.02420i | 0.207123 | − | 0.133254i | ||||
\(913\) | −65.6853 | + | 19.2870i | −2.17387 | + | 0.638305i | ||||
\(914\) | −11.5563 | + | 1.66300i | −0.382248 | + | 0.0550071i | ||||
\(915\) | −5.59466 | + | 2.55500i | −0.184954 | + | 0.0844655i | ||||
\(916\) | −24.1230 | + | 20.9132i | −0.797048 | + | 0.690990i | ||||
\(917\) | −10.0894 | − | 15.6995i | −0.333183 | − | 0.518443i | ||||
\(918\) | 1.31120 | − | 2.87207i | 0.0432762 | − | 0.0947925i | ||||
\(919\) | 0.481424 | 0.0158807 | 0.00794036 | − | 0.999968i | \(-0.497472\pi\) | ||||
0.00794036 | + | 0.999968i | \(0.497472\pi\) | |||||||
\(920\) | −6.50046 | − | 34.8240i | −0.214314 | − | 1.14811i | ||||
\(921\) | 12.5001 | 0.411893 | ||||||||
\(922\) | 3.06713 | − | 6.71826i | 0.101010 | − | 0.221254i | ||||
\(923\) | 16.5323 | + | 25.7247i | 0.544166 | + | 0.846738i | ||||
\(924\) | −11.7179 | − | 13.5164i | −0.385489 | − | 0.444656i | ||||
\(925\) | −11.0918 | + | 5.06545i | −0.364696 | + | 0.166551i | ||||
\(926\) | −3.05984 | + | 0.440323i | −0.100552 | + | 0.0144699i | ||||
\(927\) | 11.4389 | − | 3.35876i | 0.375703 | − | 0.110316i | ||||
\(928\) | 5.24124 | − | 6.05625i | 0.172052 | − | 0.198806i | ||||
\(929\) | −10.5387 | + | 23.0766i | −0.345765 | + | 0.757119i | 0.654235 | + | 0.756291i | \(0.272991\pi\) |
−1.00000 | 0.000827766i | \(0.999737\pi\) | ||||||||
\(930\) | 0.000241267 | 1.95694i | 7.91145e−6 | 0.0641706i | ||||||
\(931\) | −5.06319 | + | 4.38728i | −0.165939 | + | 0.143787i | ||||
\(932\) | −50.2047 | − | 14.7280i | −1.64451 | − | 0.482431i | ||||
\(933\) | −3.96081 | + | 13.4893i | −0.129671 | + | 0.441620i | ||||
\(934\) | −3.43220 | + | 23.8924i | −0.112305 | + | 0.781783i | ||||
\(935\) | 23.8026 | + | 15.2970i | 0.778429 | + | 0.500266i | ||||
\(936\) | −3.06434 | + | 6.71653i | −0.100161 | + | 0.219537i | ||||
\(937\) | 6.27180 | − | 43.6213i | 0.204891 | − | 1.42505i | −0.584618 | − | 0.811308i | \(-0.698756\pi\) |
0.789509 | − | 0.613739i | \(-0.210335\pi\) | |||||||
\(938\) | 8.04129 | + | 9.27783i | 0.262557 | + | 0.302932i | ||||
\(939\) | −23.3932 | + | 3.36343i | −0.763407 | + | 0.109761i | ||||
\(940\) | 9.73471 | + | 4.44279i | 0.317511 | + | 0.144908i | ||||
\(941\) | 13.1646 | + | 11.4072i | 0.429153 | + | 0.371864i | 0.842488 | − | 0.538716i | \(-0.181090\pi\) |
−0.413334 | + | 0.910579i | \(0.635636\pi\) | |||||||
\(942\) | −8.67977 | − | 29.5471i | −0.282802 | − | 0.962696i | ||||
\(943\) | 1.82664 | − | 17.9476i | 0.0594837 | − | 0.584454i | ||||
\(944\) | 12.4344 | + | 5.67119i | 0.404705 | + | 0.184582i | ||||
\(945\) | 3.15211 | − | 3.63773i | 0.102538 | − | 0.118335i | ||||
\(946\) | 4.50139 | + | 3.89950i | 0.146353 | + | 0.126784i | ||||
\(947\) | 30.0813 | − | 4.32503i | 0.977510 | − | 0.140545i | 0.365000 | − | 0.931008i | \(-0.381069\pi\) |
0.612510 | + | 0.790463i | \(0.290160\pi\) | |||||||
\(948\) | 10.7941 | − | 16.8051i | 0.350577 | − | 0.545804i | ||||
\(949\) | −17.8854 | − | 2.57154i | −0.580586 | − | 0.0834757i | ||||
\(950\) | −4.02690 | + | 2.58863i | −0.130650 | + | 0.0839863i | ||||
\(951\) | −12.1407 | − | 7.80235i | −0.393689 | − | 0.253009i | ||||
\(952\) | 10.5846 | − | 4.83854i | 0.343048 | − | 0.156818i | ||||
\(953\) | −15.4402 | − | 4.53365i | −0.500157 | − | 0.146859i | 0.0219166 | − | 0.999760i | \(-0.493023\pi\) |
−0.522074 | + | 0.852900i | \(0.674841\pi\) | |||||||
\(954\) | −13.9624 | − | 8.97068i | −0.452051 | − | 0.290437i | ||||
\(955\) | −48.1816 | + | 41.7496i | −1.55912 | + | 1.35099i | ||||
\(956\) | 38.7837 | − | 11.3983i | 1.25435 | − | 0.368648i | ||||
\(957\) | −6.25007 | − | 2.85431i | −0.202036 | − | 0.0922668i | ||||
\(958\) | 4.27954 | − | 14.5814i | 0.138266 | − | 0.471104i | ||||
\(959\) | 15.3412 | − | 4.50459i | 0.495394 | − | 0.145461i | ||||
\(960\) | 20.8928 | − | 0.0154550i | 0.674313 | − | 0.000498807i | ||||
\(961\) | −12.7612 | − | 27.9432i | −0.411653 | − | 0.901394i | ||||
\(962\) | −22.4889 | + | 10.2737i | −0.725070 | + | 0.331236i | ||||
\(963\) | −8.71496 | − | 13.5607i | −0.280836 | − | 0.436989i | ||||
\(964\) | 4.17327 | − | 29.0766i | 0.134412 | − | 0.936495i | ||||
\(965\) | 3.21795i | 0.103589i | ||||||||
\(966\) | −1.26418 | + | 12.4363i | −0.0406742 | + | 0.400132i | ||||
\(967\) | 7.03317 | 0.226171 | 0.113086 | − | 0.993585i | \(-0.463927\pi\) | ||||
0.113086 | + | 0.993585i | \(0.463927\pi\) | |||||||
\(968\) | −35.1350 | + | 5.06492i | −1.12928 | + | 0.162793i | ||||
\(969\) | 3.49216 | − | 2.24428i | 0.112184 | − | 0.0720965i | ||||
\(970\) | −18.2711 | − | 39.9951i | −0.586650 | − | 1.28416i | ||||
\(971\) | −48.8709 | + | 22.3186i | −1.56834 | + | 0.716238i | −0.994695 | − | 0.102865i | \(-0.967199\pi\) |
−0.573647 | + | 0.819103i | \(0.694472\pi\) | |||||||
\(972\) | −1.81906 | + | 0.831279i | −0.0583463 | + | 0.0266633i | ||||
\(973\) | 9.02597 | + | 30.7396i | 0.289359 | + | 0.985467i | ||||
\(974\) | 7.53126 | − | 25.6608i | 0.241317 | − | 0.822226i | ||||
\(975\) | 1.97392 | − | 4.32227i | 0.0632159 | − | 0.138424i | ||||
\(976\) | 7.12236 | + | 6.16541i | 0.227981 | + | 0.197350i | ||||
\(977\) | 22.3454 | + | 25.7879i | 0.714891 | + | 0.825028i | 0.990683 | − | 0.136189i | \(-0.0434855\pi\) |
−0.275792 | + | 0.961217i | \(0.588940\pi\) | |||||||
\(978\) | −6.49621 | + | 10.1110i | −0.207726 | + | 0.323316i | ||||
\(979\) | −10.7958 | + | 36.7670i | −0.345034 | + | 1.17508i | ||||
\(980\) | −18.6272 | + | 2.68288i | −0.595024 | + | 0.0857013i | ||||
\(981\) | −2.62627 | + | 4.08656i | −0.0838504 | + | 0.130474i | ||||
\(982\) | 24.0431 | − | 15.4558i | 0.767247 | − | 0.493214i | ||||
\(983\) | −6.37123 | + | 44.3129i | −0.203211 | + | 1.41336i | 0.591467 | + | 0.806329i | \(0.298549\pi\) |
−0.794678 | + | 0.607032i | \(0.792360\pi\) | |||||||
\(984\) | 10.2097 | + | 2.99375i | 0.325474 | + | 0.0954371i | ||||
\(985\) | 1.09942 | + | 7.64665i | 0.0350305 | + | 0.243643i | ||||
\(986\) | 2.92692 | − | 3.37869i | 0.0932122 | − | 0.107599i | ||||
\(987\) | −2.85361 | − | 2.47267i | −0.0908313 | − | 0.0787058i | ||||
\(988\) | −8.16444 | + | 5.24981i | −0.259745 | + | 0.167019i | ||||
\(989\) | −0.172131 | − | 4.15814i | −0.00547344 | − | 0.132221i | ||||
\(990\) | −5.05175 | − | 17.1968i | −0.160555 | − | 0.546552i | ||||
\(991\) | 26.1358 | − | 30.1623i | 0.830230 | − | 0.958137i | −0.169394 | − | 0.985548i | \(-0.554181\pi\) |
0.999624 | + | 0.0274117i | \(0.00872652\pi\) | |||||||
\(992\) | 2.72567 | − | 1.24680i | 0.0865402 | − | 0.0395861i | ||||
\(993\) | 4.68708 | + | 32.5993i | 0.148740 | + | 1.03451i | ||||
\(994\) | −23.0757 | + | 20.0002i | −0.731915 | + | 0.634366i | ||||
\(995\) | 22.3282 | + | 3.21031i | 0.707852 | + | 0.101774i | ||||
\(996\) | −18.4706 | + | 21.3269i | −0.585264 | + | 0.675768i | ||||
\(997\) | −21.6014 | + | 33.6125i | −0.684124 | + | 1.06452i | 0.309404 | + | 0.950931i | \(0.399870\pi\) |
−0.993528 | + | 0.113587i | \(0.963766\pi\) | |||||||
\(998\) | −6.11428 | + | 42.5630i | −0.193544 | + | 1.34731i | ||||
\(999\) | −6.42676 | − | 1.88707i | −0.203334 | − | 0.0597041i |
(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 | 552.2.bb.a.85.8 | yes | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.85.33 | yes | 480 | |
23.13 | even | 11 | inner | 552.2.bb.a.13.33 | yes | 480 | |
184.13 | even | 22 | inner | 552.2.bb.a.13.8 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.8 | ✓ | 480 | 184.13 | even | 22 | inner | |
552.2.bb.a.13.33 | yes | 480 | 23.13 | even | 11 | inner | |
552.2.bb.a.85.8 | yes | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.85.33 | yes | 480 | 8.5 | even | 2 | inner |