Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(11,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 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("756.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bs (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.12 | ||
Character | \(\chi\) | \(=\) | 756.11 |
Dual form | 756.2.bs.a.275.12 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35727 | + | 0.397255i | −0.959737 | + | 0.280902i | ||||
\(3\) | −1.72583 | + | 0.146654i | −0.996409 | + | 0.0846706i | ||||
\(4\) | 1.68438 | − | 1.07837i | 0.842189 | − | 0.539183i | ||||
\(5\) | 3.07035 | − | 0.541386i | 1.37310 | − | 0.242115i | 0.562057 | − | 0.827098i | \(-0.310010\pi\) |
0.811045 | + | 0.584984i | \(0.198899\pi\) | |||||||
\(6\) | 2.28416 | − | 0.884644i | 0.932506 | − | 0.361154i | ||||
\(7\) | −1.38755 | − | 2.25271i | −0.524445 | − | 0.851444i | ||||
\(8\) | −1.85777 | + | 2.13276i | −0.656822 | + | 0.754046i | ||||
\(9\) | 2.95699 | − | 0.506199i | 0.985662 | − | 0.168733i | ||||
\(10\) | −3.95223 | + | 1.95452i | −1.24981 | + | 0.618073i | ||||
\(11\) | −0.939330 | + | 5.32721i | −0.283219 | + | 1.60621i | 0.428361 | + | 0.903608i | \(0.359091\pi\) |
−0.711580 | + | 0.702605i | \(0.752020\pi\) | |||||||
\(12\) | −2.74880 | + | 2.10810i | −0.793511 | + | 0.608556i | ||||
\(13\) | −2.38539 | + | 2.00158i | −0.661587 | + | 0.555137i | −0.910562 | − | 0.413372i | \(-0.864351\pi\) |
0.248975 | + | 0.968510i | \(0.419906\pi\) | |||||||
\(14\) | 2.77819 | + | 2.50633i | 0.742501 | + | 0.669845i | ||||
\(15\) | −5.21951 | + | 1.38462i | −1.34767 | + | 0.357507i | ||||
\(16\) | 1.67425 | − | 3.63275i | 0.418563 | − | 0.908188i | ||||
\(17\) | − | 0.715891i | − | 0.173629i | −0.996224 | − | 0.0868145i | \(-0.972331\pi\) | ||
0.996224 | − | 0.0868145i | \(-0.0276687\pi\) | |||||||
\(18\) | −3.81234 | + | 1.86173i | −0.898578 | + | 0.438813i | ||||
\(19\) | 6.85106i | 1.57174i | 0.618392 | + | 0.785870i | \(0.287785\pi\) | ||||
−0.618392 | + | 0.785870i | \(0.712215\pi\) | |||||||
\(20\) | 4.58781 | − | 4.22286i | 1.02587 | − | 0.944260i | ||||
\(21\) | 2.72505 | + | 3.68431i | 0.594654 | + | 0.803982i | ||||
\(22\) | −0.841332 | − | 7.60362i | −0.179373 | − | 1.62110i | ||||
\(23\) | 5.34951 | − | 4.48877i | 1.11545 | − | 0.935973i | 0.117083 | − | 0.993122i | \(-0.462646\pi\) |
0.998366 | + | 0.0571492i | \(0.0182011\pi\) | |||||||
\(24\) | 2.89342 | − | 3.95324i | 0.590617 | − | 0.806952i | ||||
\(25\) | 4.43549 | − | 1.61439i | 0.887097 | − | 0.322877i | ||||
\(26\) | 2.44248 | − | 3.66429i | 0.479010 | − | 0.718627i | ||||
\(27\) | −5.02902 | + | 1.30727i | −0.967836 | + | 0.251584i | ||||
\(28\) | −4.76641 | − | 2.29812i | −0.900766 | − | 0.434304i | ||||
\(29\) | 0.764599 | − | 0.911214i | 0.141982 | − | 0.169208i | −0.690367 | − | 0.723459i | \(-0.742551\pi\) |
0.832349 | + | 0.554251i | \(0.186995\pi\) | |||||||
\(30\) | 6.53425 | − | 3.95278i | 1.19299 | − | 0.721676i | ||||
\(31\) | 0.532375 | − | 1.46269i | 0.0956174 | − | 0.262707i | −0.882658 | − | 0.470016i | \(-0.844248\pi\) |
0.978276 | + | 0.207309i | \(0.0664705\pi\) | |||||||
\(32\) | −0.829287 | + | 5.59574i | −0.146599 | + | 0.989196i | ||||
\(33\) | 0.839871 | − | 9.33161i | 0.146203 | − | 1.62443i | ||||
\(34\) | 0.284391 | + | 0.971659i | 0.0487727 | + | 0.166638i | ||||
\(35\) | −5.47985 | − | 6.16541i | −0.926264 | − | 1.04214i | ||||
\(36\) | 4.43481 | − | 4.04134i | 0.739135 | − | 0.673557i | ||||
\(37\) | −2.69638 | + | 4.67026i | −0.443282 | + | 0.767786i | −0.997931 | − | 0.0642980i | \(-0.979519\pi\) |
0.554649 | + | 0.832084i | \(0.312853\pi\) | |||||||
\(38\) | −2.72162 | − | 9.29875i | −0.441504 | − | 1.50846i | ||||
\(39\) | 3.82323 | − | 3.80421i | 0.612208 | − | 0.609161i | ||||
\(40\) | −4.54936 | + | 7.55410i | −0.719317 | + | 1.19441i | ||||
\(41\) | 5.71892 | + | 6.81554i | 0.893145 | + | 1.06441i | 0.997556 | + | 0.0698746i | \(0.0222599\pi\) |
−0.104411 | + | 0.994534i | \(0.533296\pi\) | |||||||
\(42\) | −5.16224 | − | 3.91807i | −0.796551 | − | 0.604571i | ||||
\(43\) | 0.211142 | + | 0.580109i | 0.0321989 | + | 0.0884657i | 0.954750 | − | 0.297408i | \(-0.0961222\pi\) |
−0.922552 | + | 0.385874i | \(0.873900\pi\) | |||||||
\(44\) | 4.16249 | + | 9.98596i | 0.627519 | + | 1.50544i | ||||
\(45\) | 8.80493 | − | 3.15508i | 1.31256 | − | 0.470331i | ||||
\(46\) | −5.47755 | + | 8.21760i | −0.807621 | + | 1.21162i | ||||
\(47\) | 11.6206 | − | 4.22955i | 1.69504 | − | 0.616944i | 0.699794 | − | 0.714345i | \(-0.253275\pi\) |
0.995245 | + | 0.0974011i | \(0.0310530\pi\) | |||||||
\(48\) | −2.35672 | + | 6.51505i | −0.340163 | + | 0.940366i | ||||
\(49\) | −3.14940 | + | 6.25150i | −0.449914 | + | 0.893072i | ||||
\(50\) | −5.37884 | + | 3.95318i | −0.760683 | + | 0.559064i | ||||
\(51\) | 0.104988 | + | 1.23551i | 0.0147013 | + | 0.173006i | ||||
\(52\) | −1.85946 | + | 5.94373i | −0.257860 | + | 0.824247i | ||||
\(53\) | 2.70339 | + | 1.56080i | 0.371339 | + | 0.214393i | 0.674043 | − | 0.738692i | \(-0.264556\pi\) |
−0.302704 | + | 0.953084i | \(0.597889\pi\) | |||||||
\(54\) | 6.30643 | − | 3.77212i | 0.858197 | − | 0.513321i | ||||
\(55\) | 16.8649i | 2.27407i | ||||||||
\(56\) | 7.38225 | + | 1.22570i | 0.986495 | + | 0.163791i | ||||
\(57\) | −1.00473 | − | 11.8238i | −0.133080 | − | 1.56610i | ||||
\(58\) | −0.675785 | + | 1.54051i | −0.0887349 | + | 0.202278i | ||||
\(59\) | −4.96290 | + | 4.16437i | −0.646115 | + | 0.542154i | −0.905889 | − | 0.423515i | \(-0.860796\pi\) |
0.259775 | + | 0.965669i | \(0.416352\pi\) | |||||||
\(60\) | −7.29849 | + | 7.96076i | −0.942232 | + | 1.02773i | ||||
\(61\) | −0.865832 | + | 0.315137i | −0.110858 | + | 0.0403492i | −0.396854 | − | 0.917882i | \(-0.629898\pi\) |
0.285995 | + | 0.958231i | \(0.407676\pi\) | |||||||
\(62\) | −0.141518 | + | 2.19676i | −0.0179728 | + | 0.278988i | ||||
\(63\) | −5.24329 | − | 5.95885i | −0.660592 | − | 0.750745i | ||||
\(64\) | −1.09737 | − | 7.92438i | −0.137171 | − | 0.990547i | ||||
\(65\) | −6.24035 | + | 7.43695i | −0.774020 | + | 0.922441i | ||||
\(66\) | 2.56710 | + | 12.9992i | 0.315988 | + | 1.60009i | ||||
\(67\) | 1.96505 | − | 0.346492i | 0.240069 | − | 0.0423307i | −0.0523188 | − | 0.998630i | \(-0.516661\pi\) |
0.292388 | + | 0.956300i | \(0.405550\pi\) | |||||||
\(68\) | −0.771993 | − | 1.20583i | −0.0936179 | − | 0.146228i | ||||
\(69\) | −8.57405 | + | 8.53138i | −1.03219 | + | 1.02706i | ||||
\(70\) | 9.88689 | + | 6.19124i | 1.18171 | + | 0.739994i | ||||
\(71\) | 0.970934 | + | 1.68171i | 0.115229 | + | 0.199582i | 0.917871 | − | 0.396879i | \(-0.129907\pi\) |
−0.802642 | + | 0.596460i | \(0.796573\pi\) | |||||||
\(72\) | −4.41380 | + | 7.24695i | −0.520172 | + | 0.854062i | ||||
\(73\) | 2.59762 | + | 4.49921i | 0.304028 | + | 0.526593i | 0.977045 | − | 0.213035i | \(-0.0683349\pi\) |
−0.673016 | + | 0.739628i | \(0.735002\pi\) | |||||||
\(74\) | 1.80443 | − | 7.40997i | 0.209761 | − | 0.861391i | ||||
\(75\) | −7.41815 | + | 3.43664i | −0.856574 | + | 0.396829i | ||||
\(76\) | 7.38795 | + | 11.5398i | 0.847456 | + | 1.32370i | ||||
\(77\) | 13.3040 | − | 5.27574i | 1.51613 | − | 0.601226i | ||||
\(78\) | −3.67793 | + | 6.68215i | −0.416444 | + | 0.756604i | ||||
\(79\) | 7.51648 | + | 1.32536i | 0.845670 | + | 0.149114i | 0.579663 | − | 0.814857i | \(-0.303184\pi\) |
0.266007 | + | 0.963971i | \(0.414295\pi\) | |||||||
\(80\) | 3.17382 | − | 12.0602i | 0.354844 | − | 1.34838i | ||||
\(81\) | 8.48753 | − | 2.99365i | 0.943058 | − | 0.332627i | ||||
\(82\) | −10.4696 | − | 6.97868i | −1.15618 | − | 0.770666i | ||||
\(83\) | 1.49245 | + | 1.25232i | 0.163818 | + | 0.137460i | 0.721012 | − | 0.692923i | \(-0.243677\pi\) |
−0.557194 | + | 0.830383i | \(0.688122\pi\) | |||||||
\(84\) | 8.56304 | + | 3.26716i | 0.934304 | + | 0.356476i | ||||
\(85\) | −0.387573 | − | 2.19804i | −0.0420382 | − | 0.238410i | ||||
\(86\) | −0.517029 | − | 0.703488i | −0.0557526 | − | 0.0758591i | ||||
\(87\) | −1.18594 | + | 1.68473i | −0.127146 | + | 0.180622i | ||||
\(88\) | −9.61661 | − | 11.9001i | −1.02513 | − | 1.26856i | ||||
\(89\) | 14.7566i | 1.56419i | 0.623157 | + | 0.782097i | \(0.285850\pi\) | ||||
−0.623157 | + | 0.782097i | \(0.714150\pi\) | |||||||
\(90\) | −10.6973 | + | 7.78010i | −1.12760 | + | 0.820095i | ||||
\(91\) | 7.81882 | + | 2.59629i | 0.819635 | + | 0.272165i | ||||
\(92\) | 4.17005 | − | 13.3295i | 0.434758 | − | 1.38970i | ||||
\(93\) | −0.704281 | + | 2.60243i | −0.0730305 | + | 0.269859i | ||||
\(94\) | −14.0921 | + | 10.3570i | −1.45349 | + | 1.06824i | ||||
\(95\) | 3.70906 | + | 21.0351i | 0.380542 | + | 2.15816i | ||||
\(96\) | 0.610574 | − | 9.77892i | 0.0623165 | − | 0.998056i | ||||
\(97\) | −8.96858 | + | 3.26430i | −0.910622 | + | 0.331439i | −0.754501 | − | 0.656299i | \(-0.772121\pi\) |
−0.156121 | + | 0.987738i | \(0.549899\pi\) | |||||||
\(98\) | 1.79115 | − | 9.73611i | 0.180934 | − | 0.983495i | ||||
\(99\) | −0.0809591 | + | 16.2280i | −0.00813670 | + | 1.63097i | ||||
\(100\) | 5.73013 | − | 7.50231i | 0.573013 | − | 0.750231i | ||||
\(101\) | 9.04832 | − | 10.7834i | 0.900342 | − | 1.07299i | −0.0966379 | − | 0.995320i | \(-0.530809\pi\) |
0.996979 | − | 0.0776656i | \(-0.0247467\pi\) | |||||||
\(102\) | −0.633308 | − | 1.63521i | −0.0627069 | − | 0.161910i | ||||
\(103\) | −0.959551 | + | 0.169195i | −0.0945474 | + | 0.0166713i | −0.220722 | − | 0.975337i | \(-0.570841\pi\) |
0.126174 | + | 0.992008i | \(0.459730\pi\) | |||||||
\(104\) | 0.162613 | − | 8.80594i | 0.0159455 | − | 0.863493i | ||||
\(105\) | 10.3615 | + | 9.83681i | 1.01118 | + | 0.959974i | ||||
\(106\) | −4.28927 | − | 1.04450i | −0.416611 | − | 0.101451i | ||||
\(107\) | 8.03908 | + | 13.9241i | 0.777167 | + | 1.34609i | 0.933568 | + | 0.358399i | \(0.116677\pi\) |
−0.156401 | + | 0.987694i | \(0.549989\pi\) | |||||||
\(108\) | −7.06105 | + | 7.62506i | −0.679450 | + | 0.733722i | ||||
\(109\) | 1.84168 | − | 3.18989i | 0.176401 | − | 0.305536i | −0.764244 | − | 0.644927i | \(-0.776888\pi\) |
0.940645 | + | 0.339391i | \(0.110221\pi\) | |||||||
\(110\) | −6.69967 | − | 22.8903i | −0.638789 | − | 2.18250i | ||||
\(111\) | 3.96858 | − | 8.45552i | 0.376681 | − | 0.802562i | ||||
\(112\) | −10.5066 | + | 1.26903i | −0.992785 | + | 0.119912i | ||||
\(113\) | 6.20667 | − | 17.0527i | 0.583875 | − | 1.60418i | −0.197625 | − | 0.980278i | \(-0.563323\pi\) |
0.781500 | − | 0.623905i | \(-0.214455\pi\) | |||||||
\(114\) | 6.06075 | + | 15.6489i | 0.567641 | + | 1.46566i | ||||
\(115\) | 13.9947 | − | 16.6782i | 1.30501 | − | 1.55525i | ||||
\(116\) | 0.305251 | − | 2.35934i | 0.0283418 | − | 0.219060i | ||||
\(117\) | −6.04036 | + | 7.12611i | −0.558431 | + | 0.658809i | ||||
\(118\) | 5.08169 | − | 7.62372i | 0.467808 | − | 0.701820i | ||||
\(119\) | −1.61269 | + | 0.993336i | −0.147835 | + | 0.0910589i | ||||
\(120\) | 6.74359 | − | 13.7043i | 0.615603 | − | 1.25102i | ||||
\(121\) | −17.1602 | − | 6.24579i | −1.56001 | − | 0.567799i | ||||
\(122\) | 1.04998 | − | 0.771683i | 0.0950607 | − | 0.0698649i | ||||
\(123\) | −10.8694 | − | 10.9238i | −0.980062 | − | 0.984964i | ||||
\(124\) | −0.680594 | − | 3.03781i | −0.0611191 | − | 0.272804i | ||||
\(125\) | −0.755610 | + | 0.436252i | −0.0675838 | + | 0.0390195i | ||||
\(126\) | 9.48376 | + | 6.00486i | 0.844880 | + | 0.534956i | ||||
\(127\) | −13.8342 | − | 7.98721i | −1.22759 | − | 0.708750i | −0.261066 | − | 0.965321i | \(-0.584074\pi\) |
−0.966525 | + | 0.256571i | \(0.917407\pi\) | |||||||
\(128\) | 4.63742 | + | 10.3196i | 0.409894 | + | 0.912133i | ||||
\(129\) | −0.449471 | − | 0.970205i | −0.0395737 | − | 0.0854217i | ||||
\(130\) | 5.51548 | − | 12.5730i | 0.483740 | − | 1.10272i | ||||
\(131\) | −5.74272 | + | 4.81871i | −0.501744 | + | 0.421013i | −0.858213 | − | 0.513294i | \(-0.828425\pi\) |
0.356469 | + | 0.934307i | \(0.383981\pi\) | |||||||
\(132\) | −8.64824 | − | 16.6236i | −0.752733 | − | 1.44690i | ||||
\(133\) | 15.4334 | − | 9.50619i | 1.33825 | − | 0.824292i | ||||
\(134\) | −2.52947 | + | 1.25091i | −0.218513 | + | 0.108062i | ||||
\(135\) | −14.7331 | + | 6.73641i | −1.26802 | + | 0.579777i | ||||
\(136\) | 1.52683 | + | 1.32996i | 0.130924 | + | 0.114043i | ||||
\(137\) | 4.86558 | + | 13.3681i | 0.415694 | + | 1.14211i | 0.954116 | + | 0.299436i | \(0.0967984\pi\) |
−0.538422 | + | 0.842675i | \(0.680979\pi\) | |||||||
\(138\) | 8.24819 | − | 14.9855i | 0.702132 | − | 1.27565i | ||||
\(139\) | −2.97104 | + | 0.523874i | −0.252000 | + | 0.0444344i | −0.298221 | − | 0.954497i | \(-0.596393\pi\) |
0.0462210 | + | 0.998931i | \(0.485282\pi\) | |||||||
\(140\) | −15.8787 | − | 4.47558i | −1.34200 | − | 0.378255i | ||||
\(141\) | −19.4349 | + | 9.00370i | −1.63672 | + | 0.758248i | ||||
\(142\) | −1.98589 | − | 1.89683i | −0.166652 | − | 0.159178i | ||||
\(143\) | −8.42215 | − | 14.5876i | −0.704295 | − | 1.21988i | ||||
\(144\) | 3.11184 | − | 11.5895i | 0.259320 | − | 0.965791i | ||||
\(145\) | 1.85427 | − | 3.21169i | 0.153989 | − | 0.266716i | ||||
\(146\) | −5.31301 | − | 5.07474i | −0.439708 | − | 0.419988i | ||||
\(147\) | 4.51853 | − | 11.2509i | 0.372682 | − | 0.927959i | ||||
\(148\) | 0.494538 | + | 10.7742i | 0.0406508 | + | 0.885631i | ||||
\(149\) | 0.249928 | − | 0.686671i | 0.0204749 | − | 0.0562543i | −0.929034 | − | 0.369994i | \(-0.879360\pi\) |
0.949509 | + | 0.313740i | \(0.101582\pi\) | |||||||
\(150\) | 8.70322 | − | 7.61135i | 0.710615 | − | 0.621464i | ||||
\(151\) | 6.45178 | + | 1.13762i | 0.525038 | + | 0.0925784i | 0.429884 | − | 0.902884i | \(-0.358554\pi\) |
0.0951542 | + | 0.995463i | \(0.469666\pi\) | |||||||
\(152\) | −14.6117 | − | 12.7277i | −1.18516 | − | 1.03235i | ||||
\(153\) | −0.362383 | − | 2.11688i | −0.0292969 | − | 0.171139i | ||||
\(154\) | −15.9614 | + | 12.4457i | −1.28620 | + | 1.00290i | ||||
\(155\) | 0.842699 | − | 4.77919i | 0.0676872 | − | 0.383873i | ||||
\(156\) | 2.33744 | − | 10.5306i | 0.187145 | − | 0.843120i | ||||
\(157\) | −8.51234 | + | 7.14270i | −0.679358 | + | 0.570049i | −0.915819 | − | 0.401592i | \(-0.868457\pi\) |
0.236460 | + | 0.971641i | \(0.424013\pi\) | |||||||
\(158\) | −10.7284 | + | 1.18709i | −0.853507 | + | 0.0944396i | ||||
\(159\) | −4.89449 | − | 2.29722i | −0.388158 | − | 0.182181i | ||||
\(160\) | 0.483249 | + | 17.6298i | 0.0382042 | + | 1.39376i | ||||
\(161\) | −17.5346 | − | 5.82248i | −1.38192 | − | 0.458876i | ||||
\(162\) | −10.3306 | + | 7.43490i | −0.811652 | + | 0.584141i | ||||
\(163\) | 12.3454 | − | 7.12759i | 0.966962 | − | 0.558276i | 0.0686536 | − | 0.997641i | \(-0.478130\pi\) |
0.898309 | + | 0.439365i | \(0.144796\pi\) | |||||||
\(164\) | 16.9825 | + | 5.31285i | 1.32611 | + | 0.414864i | ||||
\(165\) | −2.47330 | − | 29.1060i | −0.192546 | − | 2.26590i | ||||
\(166\) | −2.52316 | − | 1.10685i | −0.195835 | − | 0.0859083i | ||||
\(167\) | −4.10845 | − | 1.49535i | −0.317921 | − | 0.115714i | 0.178130 | − | 0.984007i | \(-0.442995\pi\) |
−0.496052 | + | 0.868293i | \(0.665217\pi\) | |||||||
\(168\) | −12.9203 | − | 1.03272i | −0.996821 | − | 0.0796758i | ||||
\(169\) | −0.573668 | + | 3.25343i | −0.0441283 | + | 0.250264i | ||||
\(170\) | 1.39922 | + | 2.82937i | 0.107315 | + | 0.217003i | ||||
\(171\) | 3.46800 | + | 20.2585i | 0.265204 | + | 1.54920i | ||||
\(172\) | 0.981213 | + | 0.749433i | 0.0748168 | + | 0.0571437i | ||||
\(173\) | −9.40966 | + | 11.2140i | −0.715403 | + | 0.852584i | −0.994176 | − | 0.107773i | \(-0.965628\pi\) |
0.278772 | + | 0.960357i | \(0.410073\pi\) | |||||||
\(174\) | 0.940370 | − | 2.75776i | 0.0712893 | − | 0.209065i | ||||
\(175\) | −9.79121 | − | 7.75182i | −0.740146 | − | 0.585983i | ||||
\(176\) | 17.7797 | + | 12.3314i | 1.34020 | + | 0.929517i | ||||
\(177\) | 7.95441 | − | 7.91482i | 0.597890 | − | 0.594914i | ||||
\(178\) | −5.86212 | − | 20.0287i | −0.439385 | − | 1.50121i | ||||
\(179\) | 13.7190 | 1.02541 | 0.512705 | − | 0.858565i | \(-0.328644\pi\) | ||||
0.512705 | + | 0.858565i | \(0.328644\pi\) | |||||||
\(180\) | 11.4285 | − | 14.8093i | 0.851830 | − | 1.10382i | ||||
\(181\) | 8.59532 | − | 14.8875i | 0.638885 | − | 1.10658i | −0.346792 | − | 0.937942i | \(-0.612729\pi\) |
0.985678 | − | 0.168640i | \(-0.0539375\pi\) | |||||||
\(182\) | −11.6437 | − | 0.417810i | −0.863085 | − | 0.0309701i | ||||
\(183\) | 1.44806 | − | 0.670851i | 0.107044 | − | 0.0495907i | ||||
\(184\) | −0.364679 | + | 19.7483i | −0.0268845 | + | 1.45587i | ||||
\(185\) | −5.75041 | + | 15.7991i | −0.422778 | + | 1.16157i | ||||
\(186\) | −0.0779266 | − | 3.81198i | −0.00571385 | − | 0.279508i | ||||
\(187\) | 3.81370 | + | 0.672458i | 0.278885 | + | 0.0491750i | ||||
\(188\) | 15.0125 | − | 19.6554i | 1.09490 | − | 1.43352i | ||||
\(189\) | 9.92292 | + | 9.51502i | 0.721786 | + | 0.692116i | ||||
\(190\) | −13.3905 | − | 27.0770i | −0.971451 | − | 1.96437i | ||||
\(191\) | 4.09607 | − | 23.2299i | 0.296381 | − | 1.68086i | −0.365155 | − | 0.930947i | \(-0.618984\pi\) |
0.661536 | − | 0.749913i | \(-0.269905\pi\) | |||||||
\(192\) | 3.05601 | + | 13.5152i | 0.220548 | + | 0.975376i | ||||
\(193\) | 17.0947 | + | 6.22197i | 1.23050 | + | 0.447867i | 0.873770 | − | 0.486339i | \(-0.161668\pi\) |
0.356734 | + | 0.934206i | \(0.383890\pi\) | |||||||
\(194\) | 10.8761 | − | 7.99335i | 0.780855 | − | 0.573889i | ||||
\(195\) | 9.67913 | − | 13.7501i | 0.693137 | − | 0.984665i | ||||
\(196\) | 1.43663 | + | 13.9261i | 0.102617 | + | 0.994721i | ||||
\(197\) | −4.93284 | − | 2.84797i | −0.351450 | − | 0.202910i | 0.313874 | − | 0.949465i | \(-0.398373\pi\) |
−0.665324 | + | 0.746555i | \(0.731706\pi\) | |||||||
\(198\) | −6.33675 | − | 22.0579i | −0.450333 | − | 1.56759i | ||||
\(199\) | − | 18.7174i | − | 1.32684i | −0.748246 | − | 0.663421i | \(-0.769104\pi\) | ||
0.748246 | − | 0.663421i | \(-0.230896\pi\) | |||||||
\(200\) | −4.79702 | + | 12.4590i | −0.339201 | + | 0.880985i | ||||
\(201\) | −3.34053 | + | 0.886168i | −0.235623 | + | 0.0625055i | ||||
\(202\) | −7.99729 | + | 18.2305i | −0.562687 | + | 1.28269i | ||||
\(203\) | −3.11362 | − | 0.458063i | −0.218533 | − | 0.0321497i | ||||
\(204\) | 1.50917 | + | 1.96784i | 0.105663 | + | 0.137777i | ||||
\(205\) | 21.2489 | + | 17.8300i | 1.48409 | + | 1.24530i | ||||
\(206\) | 1.23516 | − | 0.610830i | 0.0860576 | − | 0.0425585i | ||||
\(207\) | 13.5462 | − | 15.9811i | 0.941526 | − | 1.11077i | ||||
\(208\) | 3.27749 | + | 12.0167i | 0.227253 | + | 0.833205i | ||||
\(209\) | −36.4970 | − | 6.43540i | −2.52455 | − | 0.445146i | ||||
\(210\) | −17.9711 | − | 9.23508i | −1.24012 | − | 0.637281i | ||||
\(211\) | 2.32437 | − | 6.38615i | 0.160016 | − | 0.439640i | −0.833612 | − | 0.552351i | \(-0.813731\pi\) |
0.993628 | + | 0.112710i | \(0.0359532\pi\) | |||||||
\(212\) | 6.23664 | − | 0.286264i | 0.428334 | − | 0.0196607i | ||||
\(213\) | −1.92230 | − | 2.75995i | −0.131714 | − | 0.189109i | ||||
\(214\) | −16.4426 | − | 15.7052i | −1.12400 | − | 1.07359i | ||||
\(215\) | 0.962343 | + | 1.66683i | 0.0656312 | + | 0.113677i | ||||
\(216\) | 6.55468 | − | 13.1543i | 0.445990 | − | 0.895038i | ||||
\(217\) | −4.03371 | + | 0.830270i | −0.273826 | + | 0.0563624i | ||||
\(218\) | −1.23247 | + | 5.06116i | −0.0834731 | + | 0.342785i | ||||
\(219\) | −5.14288 | − | 7.38393i | −0.347524 | − | 0.498959i | ||||
\(220\) | 18.1866 | + | 28.4069i | 1.22614 | + | 1.91519i | ||||
\(221\) | 1.43291 | + | 1.70768i | 0.0963880 | + | 0.114871i | ||||
\(222\) | −2.02745 | + | 13.0530i | −0.136073 | + | 0.876058i | ||||
\(223\) | 2.58077 | + | 0.455059i | 0.172821 | + | 0.0304730i | 0.259389 | − | 0.965773i | \(-0.416479\pi\) |
−0.0865679 | + | 0.996246i | \(0.527590\pi\) | |||||||
\(224\) | 13.7563 | − | 5.89623i | 0.919128 | − | 0.393959i | ||||
\(225\) | 12.2985 | − | 7.01895i | 0.819898 | − | 0.467930i | ||||
\(226\) | −1.64988 | + | 25.6108i | −0.109748 | + | 1.70360i | ||||
\(227\) | −1.18640 | + | 6.72840i | −0.0787440 | + | 0.446580i | 0.919788 | + | 0.392416i | \(0.128361\pi\) |
−0.998532 | + | 0.0541641i | \(0.982751\pi\) | |||||||
\(228\) | −14.4427 | − | 18.8322i | −0.956491 | − | 1.24719i | ||||
\(229\) | −1.89736 | − | 0.690584i | −0.125381 | − | 0.0456351i | 0.278567 | − | 0.960417i | \(-0.410140\pi\) |
−0.403949 | + | 0.914782i | \(0.632363\pi\) | |||||||
\(230\) | −12.3691 | + | 28.1964i | −0.815595 | + | 1.85921i | ||||
\(231\) | −22.1868 | + | 11.0561i | −1.45978 | + | 0.727439i | ||||
\(232\) | 0.522953 | + | 3.32354i | 0.0343335 | + | 0.218201i | ||||
\(233\) | 8.01345 | + | 4.62657i | 0.524978 | + | 0.303096i | 0.738969 | − | 0.673739i | \(-0.235313\pi\) |
−0.213991 | + | 0.976836i | \(0.568646\pi\) | |||||||
\(234\) | 5.36753 | − | 12.0716i | 0.350886 | − | 0.789148i | ||||
\(235\) | 33.3895 | − | 19.2774i | 2.17809 | − | 1.25752i | ||||
\(236\) | −3.86868 | + | 12.3662i | −0.251830 | + | 0.804970i | ||||
\(237\) | −13.1665 | − | 1.18502i | −0.855259 | − | 0.0769756i | ||||
\(238\) | 1.79426 | − | 1.98888i | 0.116304 | − | 0.128920i | ||||
\(239\) | 2.45174 | + | 13.9045i | 0.158590 | + | 0.899407i | 0.955430 | + | 0.295217i | \(0.0953920\pi\) |
−0.796840 | + | 0.604190i | \(0.793497\pi\) | |||||||
\(240\) | −3.70880 | + | 21.2794i | −0.239402 | + | 1.37358i | ||||
\(241\) | −8.01379 | + | 2.91678i | −0.516214 | + | 0.187886i | −0.586972 | − | 0.809607i | \(-0.699680\pi\) |
0.0707586 | + | 0.997493i | \(0.477458\pi\) | |||||||
\(242\) | 25.7722 | + | 1.66028i | 1.65670 | + | 0.106727i | ||||
\(243\) | −14.2090 | + | 6.41125i | −0.911508 | + | 0.411282i | ||||
\(244\) | −1.11855 | + | 1.46449i | −0.0716081 | + | 0.0937546i | ||||
\(245\) | −6.28529 | + | 20.8993i | −0.401552 | + | 1.33521i | ||||
\(246\) | 19.0923 | + | 10.5086i | 1.21728 | + | 0.670004i | ||||
\(247\) | −13.7129 | − | 16.3424i | −0.872532 | − | 1.03984i | ||||
\(248\) | 2.13054 | + | 3.85277i | 0.135289 | + | 0.244651i | ||||
\(249\) | −2.75938 | − | 1.94241i | −0.174869 | − | 0.123095i | ||||
\(250\) | 0.852266 | − | 0.892282i | 0.0539020 | − | 0.0564329i | ||||
\(251\) | −14.9245 | + | 25.8501i | −0.942029 | + | 1.63164i | −0.180435 | + | 0.983587i | \(0.557750\pi\) |
−0.761594 | + | 0.648055i | \(0.775583\pi\) | |||||||
\(252\) | −15.2575 | − | 4.38277i | −0.961132 | − | 0.276088i | ||||
\(253\) | 18.8876 | + | 32.7144i | 1.18746 | + | 2.05673i | ||||
\(254\) | 21.9498 | + | 5.34509i | 1.37725 | + | 0.335381i | ||||
\(255\) | 0.991235 | + | 3.73660i | 0.0620736 | + | 0.233995i | ||||
\(256\) | −10.3938 | − | 12.1643i | −0.649610 | − | 0.760268i | ||||
\(257\) | 5.72786 | − | 15.7372i | 0.357294 | − | 0.981658i | −0.622670 | − | 0.782485i | \(-0.713952\pi\) |
0.979964 | − | 0.199173i | \(-0.0638257\pi\) | |||||||
\(258\) | 0.995473 | + | 1.13828i | 0.0619754 | + | 0.0708661i | ||||
\(259\) | 14.2621 | − | 0.406076i | 0.886204 | − | 0.0252323i | ||||
\(260\) | −2.49133 | + | 19.2560i | −0.154506 | + | 1.19421i | ||||
\(261\) | 1.79965 | − | 3.08148i | 0.111396 | − | 0.190739i | ||||
\(262\) | 5.88018 | − | 8.82163i | 0.363279 | − | 0.545002i | ||||
\(263\) | −6.37251 | − | 5.34717i | −0.392946 | − | 0.329721i | 0.424814 | − | 0.905281i | \(-0.360340\pi\) |
−0.817759 | + | 0.575560i | \(0.804784\pi\) | |||||||
\(264\) | 18.3418 | + | 19.1273i | 1.12886 | + | 1.17720i | ||||
\(265\) | 9.14534 | + | 3.32863i | 0.561794 | + | 0.204476i | ||||
\(266\) | −17.1710 | + | 19.0335i | −1.05282 | + | 1.16702i | ||||
\(267\) | −2.16411 | − | 25.4674i | −0.132441 | − | 1.55858i | ||||
\(268\) | 2.93624 | − | 2.70267i | 0.179360 | − | 0.165092i | ||||
\(269\) | −14.7828 | − | 8.53486i | −0.901324 | − | 0.520380i | −0.0236943 | − | 0.999719i | \(-0.507543\pi\) |
−0.877629 | + | 0.479340i | \(0.840876\pi\) | |||||||
\(270\) | 17.3208 | − | 14.9959i | 1.05411 | − | 0.912624i | ||||
\(271\) | −6.29656 | + | 3.63532i | −0.382489 | + | 0.220830i | −0.678901 | − | 0.734230i | \(-0.737543\pi\) |
0.296412 | + | 0.955060i | \(0.404210\pi\) | |||||||
\(272\) | −2.60065 | − | 1.19858i | −0.157688 | − | 0.0726747i | ||||
\(273\) | −13.8747 | − | 3.33410i | −0.839736 | − | 0.201789i | ||||
\(274\) | −11.9144 | − | 16.2112i | −0.719778 | − | 0.979357i | ||||
\(275\) | 4.43378 | + | 25.1452i | 0.267367 | + | 1.51631i | ||||
\(276\) | −5.24198 | + | 23.6160i | −0.315530 | + | 1.42152i | ||||
\(277\) | −18.2723 | − | 15.3323i | −1.09787 | − | 0.921226i | −0.100595 | − | 0.994927i | \(-0.532075\pi\) |
−0.997280 | + | 0.0737010i | \(0.976519\pi\) | |||||||
\(278\) | 3.82439 | − | 1.89130i | 0.229372 | − | 0.113433i | ||||
\(279\) | 0.833814 | − | 4.59464i | 0.0499191 | − | 0.275074i | ||||
\(280\) | 23.3297 | − | 0.233316i | 1.39421 | − | 0.0139433i | ||||
\(281\) | −4.82539 | − | 13.2576i | −0.287859 | − | 0.790885i | −0.996365 | − | 0.0851810i | \(-0.972853\pi\) |
0.708507 | − | 0.705704i | \(-0.249369\pi\) | |||||||
\(282\) | 22.8017 | − | 19.9411i | 1.35782 | − | 1.18747i | ||||
\(283\) | −19.5676 | + | 3.45030i | −1.16317 | + | 0.205099i | −0.721720 | − | 0.692185i | \(-0.756648\pi\) |
−0.441454 | + | 0.897284i | \(0.645537\pi\) | |||||||
\(284\) | 3.44891 | + | 1.78561i | 0.204655 | + | 0.105956i | ||||
\(285\) | −9.48610 | − | 35.7591i | −0.561908 | − | 2.11819i | ||||
\(286\) | 17.2261 | + | 16.4536i | 1.01860 | + | 0.972921i | ||||
\(287\) | 7.41814 | − | 22.3400i | 0.437879 | − | 1.31869i | ||||
\(288\) | 0.380366 | + | 16.9663i | 0.0224133 | + | 0.999749i | ||||
\(289\) | 16.4875 | 0.969853 | ||||||||
\(290\) | −1.24089 | + | 5.09575i | −0.0728675 | + | 0.299233i | ||||
\(291\) | 14.9995 | − | 6.94890i | 0.879288 | − | 0.407352i | ||||
\(292\) | 9.22717 | + | 4.77718i | 0.539979 | + | 0.279563i | ||||
\(293\) | −14.1877 | + | 2.50168i | −0.828857 | + | 0.146150i | −0.571952 | − | 0.820287i | \(-0.693814\pi\) |
−0.256905 | + | 0.966437i | \(0.582703\pi\) | |||||||
\(294\) | −1.66339 | + | 17.0656i | −0.0970111 | + | 0.995283i | ||||
\(295\) | −12.9833 | + | 15.4729i | −0.755918 | + | 0.900868i | ||||
\(296\) | −4.95131 | − | 14.4270i | −0.287789 | − | 0.838553i | ||||
\(297\) | −2.24017 | − | 28.0186i | −0.129988 | − | 1.62580i | ||||
\(298\) | −0.0664367 | + | 1.03128i | −0.00384857 | + | 0.0597407i | ||||
\(299\) | −3.77602 | + | 21.4149i | −0.218373 | + | 1.23846i | ||||
\(300\) | −8.78900 | + | 13.7881i | −0.507433 | + | 0.796055i | ||||
\(301\) | 1.01385 | − | 1.28057i | 0.0584371 | − | 0.0738110i | ||||
\(302\) | −9.20875 | + | 1.01894i | −0.529904 | + | 0.0586332i | ||||
\(303\) | −14.0345 | + | 19.9372i | −0.806258 | + | 1.14536i | ||||
\(304\) | 24.8882 | + | 11.4704i | 1.42744 | + | 0.657872i | ||||
\(305\) | −2.48780 | + | 1.43633i | −0.142451 | + | 0.0822440i | ||||
\(306\) | 1.33279 | + | 2.72922i | 0.0761907 | + | 0.156019i | ||||
\(307\) | 1.57170 | − | 0.907422i | 0.0897017 | − | 0.0517893i | −0.454478 | − | 0.890758i | \(-0.650174\pi\) |
0.544180 | + | 0.838969i | \(0.316841\pi\) | |||||||
\(308\) | 16.7198 | − | 23.2329i | 0.952699 | − | 1.32382i | ||||
\(309\) | 1.63121 | − | 0.432723i | 0.0927963 | − | 0.0246168i | ||||
\(310\) | 0.754783 | + | 6.82142i | 0.0428688 | + | 0.387431i | ||||
\(311\) | 2.77568 | + | 15.7416i | 0.157394 | + | 0.892627i | 0.956564 | + | 0.291522i | \(0.0941616\pi\) |
−0.799170 | + | 0.601105i | \(0.794727\pi\) | |||||||
\(312\) | 1.01078 | + | 15.2214i | 0.0572242 | + | 0.861743i | ||||
\(313\) | 1.02629 | + | 0.861158i | 0.0580093 | + | 0.0486755i | 0.671331 | − | 0.741157i | \(-0.265723\pi\) |
−0.613322 | + | 0.789833i | \(0.710167\pi\) | |||||||
\(314\) | 8.71609 | − | 13.0762i | 0.491877 | − | 0.737930i | ||||
\(315\) | −19.3248 | − | 15.4571i | −1.08883 | − | 0.870910i | ||||
\(316\) | 14.0898 | − | 5.87312i | 0.792614 | − | 0.330389i | ||||
\(317\) | −7.08595 | − | 19.4685i | −0.397986 | − | 1.09346i | −0.963264 | − | 0.268558i | \(-0.913453\pi\) |
0.565277 | − | 0.824901i | \(-0.308769\pi\) | |||||||
\(318\) | 7.55573 | + | 1.17359i | 0.423704 | + | 0.0658117i | ||||
\(319\) | 4.13601 | + | 4.92911i | 0.231572 | + | 0.275977i | ||||
\(320\) | −7.65944 | − | 23.7365i | −0.428176 | − | 1.32691i | ||||
\(321\) | −15.9161 | − | 22.8517i | −0.888351 | − | 1.27546i | ||||
\(322\) | 26.1123 | + | 0.936988i | 1.45518 | + | 0.0522163i | ||||
\(323\) | 4.90461 | 0.272900 | ||||||||
\(324\) | 11.0679 | − | 14.1951i | 0.614886 | − | 0.788616i | ||||
\(325\) | −7.34903 | + | 12.7289i | −0.407651 | + | 0.706072i | ||||
\(326\) | −13.9245 | + | 14.5783i | −0.771209 | + | 0.807419i | ||||
\(327\) | −2.71062 | + | 5.77530i | −0.149898 | + | 0.319375i | ||||
\(328\) | −25.1604 | − | 0.464619i | −1.38925 | − | 0.0256543i | ||||
\(329\) | −25.6521 | − | 20.3091i | −1.41425 | − | 1.11968i | ||||
\(330\) | 14.9195 | + | 38.5223i | 0.821289 | + | 2.12058i | ||||
\(331\) | −1.66308 | − | 4.56928i | −0.0914113 | − | 0.251150i | 0.885559 | − | 0.464528i | \(-0.153776\pi\) |
−0.976970 | + | 0.213377i | \(0.931554\pi\) | |||||||
\(332\) | 3.86431 | + | 0.499963i | 0.212082 | + | 0.0274390i | ||||
\(333\) | −5.60907 | + | 15.1748i | −0.307375 | + | 0.831574i | ||||
\(334\) | 6.17032 | + | 0.397500i | 0.337625 | + | 0.0217502i | ||||
\(335\) | 5.84581 | − | 2.12770i | 0.319391 | − | 0.116249i | ||||
\(336\) | 17.9466 | − | 3.73097i | 0.979066 | − | 0.203541i | ||||
\(337\) | −10.1710 | + | 8.53448i | −0.554049 | + | 0.464903i | −0.876310 | − | 0.481748i | \(-0.840002\pi\) |
0.322260 | + | 0.946651i | \(0.395557\pi\) | |||||||
\(338\) | −0.513819 | − | 4.64369i | −0.0279481 | − | 0.252583i | ||||
\(339\) | −8.21083 | + | 30.3403i | −0.445951 | + | 1.64786i | ||||
\(340\) | −3.02311 | − | 3.28437i | −0.163951 | − | 0.178120i | ||||
\(341\) | 7.29197 | + | 4.21002i | 0.394882 | + | 0.227985i | ||||
\(342\) | −12.7548 | − | 26.1186i | −0.689700 | − | 1.41233i | ||||
\(343\) | 18.4528 | − | 1.57960i | 0.996356 | − | 0.0852903i | ||||
\(344\) | −1.62949 | − | 0.627393i | −0.0878562 | − | 0.0338268i | ||||
\(345\) | −21.7066 | + | 30.8362i | −1.16864 | + | 1.66016i | ||||
\(346\) | 8.31666 | − | 18.9585i | 0.447106 | − | 1.01921i | ||||
\(347\) | −28.8618 | − | 10.5048i | −1.54938 | − | 0.563929i | −0.581109 | − | 0.813825i | \(-0.697381\pi\) |
−0.968273 | + | 0.249897i | \(0.919603\pi\) | |||||||
\(348\) | −0.180805 | + | 4.11660i | −0.00969215 | + | 0.220673i | ||||
\(349\) | −11.8972 | − | 9.98290i | −0.636840 | − | 0.534372i | 0.266206 | − | 0.963916i | \(-0.414230\pi\) |
−0.903046 | + | 0.429544i | \(0.858674\pi\) | |||||||
\(350\) | 16.3688 | + | 6.63173i | 0.874948 | + | 0.354481i | ||||
\(351\) | 9.37956 | − | 13.1843i | 0.500644 | − | 0.703726i | ||||
\(352\) | −29.0307 | − | 9.67403i | −1.54734 | − | 0.515627i | ||||
\(353\) | −2.14123 | − | 5.88299i | −0.113966 | − | 0.313120i | 0.869576 | − | 0.493800i | \(-0.164392\pi\) |
−0.983542 | + | 0.180680i | \(0.942170\pi\) | |||||||
\(354\) | −7.65209 | + | 13.9025i | −0.406704 | + | 0.738909i | ||||
\(355\) | 3.89156 | + | 4.63778i | 0.206542 | + | 0.246148i | ||||
\(356\) | 15.9130 | + | 24.8556i | 0.843387 | + | 1.31735i | ||||
\(357\) | 2.63756 | − | 1.95084i | 0.139595 | − | 0.103249i | ||||
\(358\) | −18.6205 | + | 5.44996i | −0.984123 | + | 0.288039i | ||||
\(359\) | 16.6874 | 0.880727 | 0.440364 | − | 0.897820i | \(-0.354850\pi\) | ||||
0.440364 | + | 0.897820i | \(0.354850\pi\) | |||||||
\(360\) | −9.62852 | + | 24.6403i | −0.507468 | + | 1.29866i | ||||
\(361\) | −27.9370 | −1.47037 | ||||||||
\(362\) | −5.75205 | + | 23.6210i | −0.302321 | + | 1.24149i | ||||
\(363\) | 30.5315 | + | 8.26257i | 1.60249 | + | 0.433673i | ||||
\(364\) | 15.9696 | − | 4.05842i | 0.837034 | − | 0.212719i | ||||
\(365\) | 10.4114 | + | 12.4078i | 0.544958 | + | 0.649456i | ||||
\(366\) | −1.69892 | + | 1.48578i | −0.0888039 | + | 0.0776628i | ||||
\(367\) | −11.4488 | − | 2.01874i | −0.597623 | − | 0.105377i | −0.133350 | − | 0.991069i | \(-0.542573\pi\) |
−0.464274 | + | 0.885692i | \(0.653685\pi\) | |||||||
\(368\) | −7.35016 | − | 26.9488i | −0.383154 | − | 1.40480i | ||||
\(369\) | 20.3608 | + | 17.2585i | 1.05994 | + | 0.898444i | ||||
\(370\) | 1.52859 | − | 23.7281i | 0.0794678 | − | 1.23356i | ||||
\(371\) | −0.235058 | − | 8.25564i | −0.0122036 | − | 0.428611i | ||||
\(372\) | 1.62010 | + | 5.14294i | 0.0839981 | + | 0.266649i | ||||
\(373\) | −4.36056 | − | 24.7299i | −0.225781 | − | 1.28047i | −0.861186 | − | 0.508289i | \(-0.830278\pi\) |
0.635405 | − | 0.772179i | \(-0.280833\pi\) | |||||||
\(374\) | −5.44336 | + | 0.602302i | −0.281470 | + | 0.0311443i | ||||
\(375\) | 1.24008 | − | 0.863710i | 0.0640373 | − | 0.0446018i | ||||
\(376\) | −12.5678 | + | 32.6416i | −0.648134 | + | 1.68336i | ||||
\(377\) | 3.70400i | 0.190766i | ||||||||
\(378\) | −17.2480 | − | 8.97255i | −0.887141 | − | 0.461498i | ||||
\(379\) | − | 26.9640i | − | 1.38505i | −0.721396 | − | 0.692523i | \(-0.756499\pi\) | ||
0.721396 | − | 0.692523i | \(-0.243501\pi\) | |||||||
\(380\) | 28.9310 | + | 31.4314i | 1.48413 | + | 1.61240i | ||||
\(381\) | 25.0469 | + | 11.7557i | 1.28319 | + | 0.602264i | ||||
\(382\) | 3.66873 | + | 33.1565i | 0.187709 | + | 1.69644i | ||||
\(383\) | 3.00368 | + | 17.0347i | 0.153481 | + | 0.870433i | 0.960162 | + | 0.279445i | \(0.0901506\pi\) |
−0.806681 | + | 0.590987i | \(0.798738\pi\) | |||||||
\(384\) | −9.51682 | − | 17.1298i | −0.485653 | − | 0.874152i | ||||
\(385\) | 37.9918 | − | 23.4010i | 1.93624 | − | 1.19262i | ||||
\(386\) | −25.6739 | − | 1.65394i | −1.30677 | − | 0.0841836i | ||||
\(387\) | 0.917995 | + | 1.60849i | 0.0466643 | + | 0.0817643i | ||||
\(388\) | −11.5864 | + | 15.1697i | −0.588209 | + | 0.770126i | ||||
\(389\) | 8.31568 | + | 1.46628i | 0.421622 | + | 0.0743432i | 0.380434 | − | 0.924808i | \(-0.375775\pi\) |
0.0411878 | + | 0.999151i | \(0.486886\pi\) | |||||||
\(390\) | −7.67492 | + | 22.5077i | −0.388634 | + | 1.13972i | ||||
\(391\) | −3.21347 | − | 3.82966i | −0.162512 | − | 0.193674i | ||||
\(392\) | −7.48211 | − | 18.3308i | −0.377904 | − | 0.925845i | ||||
\(393\) | 9.20428 | − | 9.15848i | 0.464295 | − | 0.461984i | ||||
\(394\) | 7.82658 | + | 1.90588i | 0.394297 | + | 0.0960170i | ||||
\(395\) | 23.7958 | 1.19729 | ||||||||
\(396\) | 17.3633 | + | 27.4213i | 0.872540 | + | 1.37797i | ||||
\(397\) | 3.24955 | 0.163090 | 0.0815450 | − | 0.996670i | \(-0.474015\pi\) | ||||
0.0815450 | + | 0.996670i | \(0.474015\pi\) | |||||||
\(398\) | 7.43559 | + | 25.4046i | 0.372712 | + | 1.27342i | ||||
\(399\) | −25.2414 | + | 18.6695i | −1.26365 | + | 0.934642i | ||||
\(400\) | 1.56146 | − | 18.8159i | 0.0780731 | − | 0.940795i | ||||
\(401\) | 3.74963 | + | 4.46864i | 0.187248 | + | 0.223153i | 0.851499 | − | 0.524356i | \(-0.175694\pi\) |
−0.664251 | + | 0.747509i | \(0.731250\pi\) | |||||||
\(402\) | 4.18198 | − | 2.52982i | 0.208578 | − | 0.126176i | ||||
\(403\) | 1.65776 | + | 4.55467i | 0.0825791 | + | 0.226884i | ||||
\(404\) | 3.61236 | − | 27.9207i | 0.179722 | − | 1.38910i | ||||
\(405\) | 24.4390 | − | 13.7866i | 1.21438 | − | 0.685060i | ||||
\(406\) | 4.40800 | − | 0.615184i | 0.218765 | − | 0.0305311i | ||||
\(407\) | −22.3467 | − | 18.7511i | −1.10768 | − | 0.929456i | ||||
\(408\) | −2.83009 | − | 2.07137i | −0.140110 | − | 0.102548i | ||||
\(409\) | −14.0893 | − | 5.12810i | −0.696673 | − | 0.253568i | −0.0306835 | − | 0.999529i | \(-0.509768\pi\) |
−0.665990 | + | 0.745961i | \(0.731991\pi\) | |||||||
\(410\) | −35.9236 | − | 15.7589i | −1.77414 | − | 0.778275i | ||||
\(411\) | −10.3576 | − | 22.3575i | −0.510905 | − | 1.10281i | ||||
\(412\) | −1.43379 | + | 1.31974i | −0.0706378 | + | 0.0650187i | ||||
\(413\) | 16.2674 | + | 5.40170i | 0.800466 | + | 0.265800i | ||||
\(414\) | −12.0373 | + | 27.0721i | −0.591601 | + | 1.33052i | ||||
\(415\) | 5.26034 | + | 3.03706i | 0.258220 | + | 0.149083i | ||||
\(416\) | −9.22213 | − | 15.0079i | −0.452152 | − | 0.735822i | ||||
\(417\) | 5.05068 | − | 1.33983i | 0.247333 | − | 0.0656118i | ||||
\(418\) | 52.0928 | − | 5.76401i | 2.54794 | − | 0.281927i | ||||
\(419\) | 19.7309 | − | 16.5562i | 0.963919 | − | 0.808824i | −0.0176671 | − | 0.999844i | \(-0.505624\pi\) |
0.981586 | + | 0.191020i | \(0.0611795\pi\) | |||||||
\(420\) | 28.0603 | + | 5.39542i | 1.36920 | + | 0.263270i | ||||
\(421\) | −3.36518 | + | 1.22482i | −0.164009 | + | 0.0596943i | −0.422720 | − | 0.906260i | \(-0.638925\pi\) |
0.258711 | + | 0.965955i | \(0.416702\pi\) | |||||||
\(422\) | −0.617871 | + | 9.59111i | −0.0300775 | + | 0.466888i | ||||
\(423\) | 32.2210 | − | 18.3891i | 1.56664 | − | 0.894107i | ||||
\(424\) | −8.35110 | + | 2.86607i | −0.405565 | + | 0.139189i | ||||
\(425\) | −1.15572 | − | 3.17532i | −0.0560608 | − | 0.154026i | ||||
\(426\) | 3.70548 | + | 2.98236i | 0.179531 | + | 0.144496i | ||||
\(427\) | 1.91130 | + | 1.51320i | 0.0924942 | + | 0.0732288i | ||||
\(428\) | 28.5561 | + | 14.7843i | 1.38031 | + | 0.714628i | ||||
\(429\) | 16.6745 | + | 23.9406i | 0.805054 | + | 1.15586i | ||||
\(430\) | −1.96832 | − | 1.88004i | −0.0949207 | − | 0.0906637i | ||||
\(431\) | −10.6190 | + | 18.3926i | −0.511498 | + | 0.885940i | 0.488414 | + | 0.872612i | \(0.337576\pi\) |
−0.999911 | + | 0.0133275i | \(0.995758\pi\) | |||||||
\(432\) | −3.67087 | + | 20.4579i | −0.176615 | + | 0.984280i | ||||
\(433\) | −15.6803 | −0.753549 | −0.376775 | − | 0.926305i | \(-0.622967\pi\) | ||||
−0.376775 | + | 0.926305i | \(0.622967\pi\) | |||||||
\(434\) | 5.14502 | − | 2.72931i | 0.246969 | − | 0.131011i | ||||
\(435\) | −2.72915 | + | 5.81476i | −0.130853 | + | 0.278797i | ||||
\(436\) | −0.337780 | − | 7.35898i | −0.0161767 | − | 0.352431i | ||||
\(437\) | 30.7528 | + | 36.6498i | 1.47111 | + | 1.75320i | ||||
\(438\) | 9.91359 | + | 7.97896i | 0.473690 | + | 0.381250i | ||||
\(439\) | 8.96431 | + | 24.6292i | 0.427843 | + | 1.17549i | 0.947119 | + | 0.320883i | \(0.103980\pi\) |
−0.519276 | + | 0.854607i | \(0.673798\pi\) | |||||||
\(440\) | −35.9689 | − | 31.3312i | −1.71475 | − | 1.49366i | ||||
\(441\) | −6.14823 | + | 20.0798i | −0.292773 | + | 0.956182i | ||||
\(442\) | −2.62323 | − | 1.74855i | −0.124774 | − | 0.0831701i | ||||
\(443\) | 15.1516 | + | 12.7137i | 0.719875 | + | 0.604047i | 0.927351 | − | 0.374194i | \(-0.122080\pi\) |
−0.207476 | + | 0.978240i | \(0.566525\pi\) | |||||||
\(444\) | −2.43356 | − | 18.5219i | −0.115492 | − | 0.879009i | ||||
\(445\) | 7.98900 | + | 45.3078i | 0.378715 | + | 2.14780i | ||||
\(446\) | −3.68358 | + | 0.407584i | −0.174423 | + | 0.0192997i | ||||
\(447\) | −0.330630 | + | 1.22173i | −0.0156383 | + | 0.0577859i | ||||
\(448\) | −16.3287 | + | 13.4675i | −0.771457 | + | 0.636281i | ||||
\(449\) | −4.11679 | + | 2.37683i | −0.194283 | + | 0.112169i | −0.593986 | − | 0.804475i | \(-0.702447\pi\) |
0.399703 | + | 0.916645i | \(0.369113\pi\) | |||||||
\(450\) | −13.9041 | + | 14.4123i | −0.655444 | + | 0.679400i | ||||
\(451\) | −41.6797 | + | 24.0638i | −1.96262 | + | 1.13312i | ||||
\(452\) | −7.93468 | − | 35.4162i | −0.373216 | − | 1.66584i | ||||
\(453\) | −11.3015 | − | 1.01717i | −0.530991 | − | 0.0477907i | ||||
\(454\) | −1.06262 | − | 9.60358i | −0.0498714 | − | 0.450718i | ||||
\(455\) | 25.4121 | + | 3.73853i | 1.19134 | + | 0.175265i | ||||
\(456\) | 27.0839 | + | 19.8230i | 1.26832 | + | 0.928297i | ||||
\(457\) | −0.0503050 | + | 0.285294i | −0.00235317 | + | 0.0133455i | −0.985962 | − | 0.166971i | \(-0.946601\pi\) |
0.983609 | + | 0.180317i | \(0.0577123\pi\) | |||||||
\(458\) | 2.84958 | + | 0.183573i | 0.133152 | + | 0.00857782i | ||||
\(459\) | 0.935860 | + | 3.60023i | 0.0436822 | + | 0.168044i | ||||
\(460\) | 5.58710 | − | 43.1838i | 0.260500 | − | 2.01346i | ||||
\(461\) | 20.4757 | − | 24.4020i | 0.953647 | − | 1.13651i | −0.0368973 | − | 0.999319i | \(-0.511747\pi\) |
0.990544 | − | 0.137193i | \(-0.0438081\pi\) | |||||||
\(462\) | 25.7214 | − | 23.8200i | 1.19667 | − | 1.10820i | ||||
\(463\) | −14.0097 | + | 2.47028i | −0.651084 | + | 0.114804i | −0.489428 | − | 0.872043i | \(-0.662795\pi\) |
−0.161656 | + | 0.986847i | \(0.551683\pi\) | |||||||
\(464\) | −2.03008 | − | 4.30320i | −0.0942441 | − | 0.199771i | ||||
\(465\) | −0.753471 | + | 8.37165i | −0.0349414 | + | 0.388226i | ||||
\(466\) | −12.7144 | − | 3.09613i | −0.588981 | − | 0.143425i | ||||
\(467\) | −28.2111 | −1.30545 | −0.652727 | − | 0.757593i | \(-0.726375\pi\) | ||||
−0.652727 | + | 0.757593i | \(0.726375\pi\) | |||||||
\(468\) | −2.48968 | + | 18.5168i | −0.115085 | + | 0.855938i | ||||
\(469\) | −3.50716 | − | 3.94592i | −0.161945 | − | 0.182205i | ||||
\(470\) | −37.6606 | + | 39.4289i | −1.73715 | + | 1.81872i | ||||
\(471\) | 13.6434 | − | 13.5755i | 0.628652 | − | 0.625524i | ||||
\(472\) | 0.338323 | − | 18.3211i | 0.0155726 | − | 0.843299i | ||||
\(473\) | −3.28869 | + | 0.579885i | −0.151214 | + | 0.0266631i | ||||
\(474\) | 18.3413 | − | 3.62207i | 0.842446 | − | 0.166367i | ||||
\(475\) | 11.0602 | + | 30.3878i | 0.507479 | + | 1.39429i | ||||
\(476\) | −1.64521 | + | 3.41223i | −0.0754079 | + | 0.156399i | ||||
\(477\) | 8.78395 | + | 3.24681i | 0.402190 | + | 0.148661i | ||||
\(478\) | −8.85131 | − | 17.8982i | −0.404849 | − | 0.818646i | ||||
\(479\) | −22.6593 | − | 19.0134i | −1.03533 | − | 0.868746i | −0.0438551 | − | 0.999038i | \(-0.513964\pi\) |
−0.991476 | + | 0.130292i | \(0.958408\pi\) | |||||||
\(480\) | −3.41949 | − | 30.3552i | −0.156078 | − | 1.38552i | ||||
\(481\) | −2.91599 | − | 16.5374i | −0.132958 | − | 0.754040i | ||||
\(482\) | 9.71819 | − | 7.14238i | 0.442651 | − | 0.325327i | ||||
\(483\) | 31.1157 | + | 7.47711i | 1.41581 | + | 0.340220i | ||||
\(484\) | −35.6394 | + | 7.98468i | −1.61997 | + | 0.362940i | ||||
\(485\) | −25.7694 | + | 14.8780i | −1.17013 | + | 0.675575i | ||||
\(486\) | 16.7386 | − | 14.3464i | 0.759278 | − | 0.650767i | ||||
\(487\) | −21.6133 | − | 12.4785i | −0.979393 | − | 0.565453i | −0.0773062 | − | 0.997007i | \(-0.524632\pi\) |
−0.902087 | + | 0.431555i | \(0.857965\pi\) | |||||||
\(488\) | 0.936405 | − | 2.43207i | 0.0423891 | − | 0.110095i | ||||
\(489\) | −20.2607 | + | 14.1115i | −0.916221 | + | 0.638145i | ||||
\(490\) | 0.228483 | − | 30.8630i | 0.0103218 | − | 1.39425i | ||||
\(491\) | −4.97347 | − | 1.81020i | −0.224450 | − | 0.0816930i | 0.227348 | − | 0.973814i | \(-0.426995\pi\) |
−0.451797 | + | 0.892121i | \(0.649217\pi\) | |||||||
\(492\) | −30.0880 | − | 6.67854i | −1.35647 | − | 0.301092i | ||||
\(493\) | −0.652329 | − | 0.547369i | −0.0293794 | − | 0.0246523i | ||||
\(494\) | 25.1043 | + | 16.7336i | 1.12949 | + | 0.752880i | ||||
\(495\) | 8.53701 | + | 49.8693i | 0.383710 | + | 2.24146i | ||||
\(496\) | −4.42225 | − | 4.38290i | −0.198565 | − | 0.196798i | ||||
\(497\) | 2.44118 | − | 4.52069i | 0.109502 | − | 0.202781i | ||||
\(498\) | 4.51686 | + | 1.54021i | 0.202405 | + | 0.0690184i | ||||
\(499\) | 6.84315 | − | 18.8014i | 0.306341 | − | 0.841666i | −0.687021 | − | 0.726638i | \(-0.741082\pi\) |
0.993362 | − | 0.115028i | \(-0.0366958\pi\) | |||||||
\(500\) | −0.802293 | + | 1.54964i | −0.0358796 | + | 0.0693019i | ||||
\(501\) | 7.30979 | + | 1.97821i | 0.326577 | + | 0.0883798i | ||||
\(502\) | 9.98760 | − | 41.0144i | 0.445769 | − | 1.83056i | ||||
\(503\) | 14.4425 | + | 25.0151i | 0.643958 | + | 1.11537i | 0.984541 | + | 0.175153i | \(0.0560421\pi\) |
−0.340583 | + | 0.940214i | \(0.610625\pi\) | |||||||
\(504\) | 22.4497 | − | 0.112511i | 0.999987 | − | 0.00501165i | ||||
\(505\) | 21.9435 | − | 38.0073i | 0.976475 | − | 1.69130i | ||||
\(506\) | −38.6316 | − | 36.8991i | −1.71738 | − | 1.64036i | ||||
\(507\) | 0.512926 | − | 5.69901i | 0.0227799 | − | 0.253102i | ||||
\(508\) | −31.9152 | + | 1.46492i | −1.41601 | + | 0.0649953i | ||||
\(509\) | 2.65452 | + | 3.16353i | 0.117659 | + | 0.140221i | 0.821659 | − | 0.569979i | \(-0.193049\pi\) |
−0.704000 | + | 0.710200i | \(0.748604\pi\) | |||||||
\(510\) | −2.82976 | − | 4.67781i | −0.125304 | − | 0.207137i | ||||
\(511\) | 6.53108 | − | 12.0946i | 0.288918 | − | 0.535032i | ||||
\(512\) | 18.9395 | + | 12.3813i | 0.837015 | + | 0.547180i | ||||
\(513\) | −8.95616 | − | 34.4541i | −0.395424 | − | 1.52119i | ||||
\(514\) | −1.52260 | + | 23.6351i | −0.0671590 | + | 1.04250i | ||||
\(515\) | −2.85456 | + | 1.03897i | −0.125787 | + | 0.0457827i | ||||
\(516\) | −1.80331 | − | 1.14950i | −0.0793865 | − | 0.0506037i | ||||
\(517\) | 11.6161 | + | 65.8783i | 0.510876 | + | 2.89732i | ||||
\(518\) | −19.1962 | + | 6.21685i | −0.843435 | + | 0.273153i | ||||
\(519\) | 14.5949 | − | 20.7334i | 0.640645 | − | 0.910096i | ||||
\(520\) | −4.26813 | − | 27.1254i | −0.187170 | − | 1.18953i | ||||
\(521\) | 37.1168 | − | 21.4294i | 1.62612 | − | 0.938840i | 0.640882 | − | 0.767639i | \(-0.278569\pi\) |
0.985236 | − | 0.171201i | \(-0.0547647\pi\) | |||||||
\(522\) | −1.21848 | + | 4.89733i | −0.0533316 | + | 0.214351i | ||||
\(523\) | −9.20667 | − | 5.31547i | −0.402579 | − | 0.232429i | 0.285017 | − | 0.958522i | \(-0.408001\pi\) |
−0.687596 | + | 0.726093i | \(0.741334\pi\) | |||||||
\(524\) | −4.47657 | + | 14.3093i | −0.195560 | + | 0.625104i | ||||
\(525\) | 18.0348 | + | 11.9424i | 0.787103 | + | 0.521210i | ||||
\(526\) | 10.7734 | + | 4.72605i | 0.469743 | + | 0.206066i | ||||
\(527\) | −1.04713 | − | 0.381122i | −0.0456135 | − | 0.0166020i | ||||
\(528\) | −32.4933 | − | 18.6745i | −1.41409 | − | 0.812704i | ||||
\(529\) | 4.47426 | − | 25.3748i | 0.194533 | − | 1.10325i | ||||
\(530\) | −13.7350 | − | 0.884828i | −0.596612 | − | 0.0384345i | ||||
\(531\) | −12.5672 | + | 14.8262i | −0.545371 | + | 0.643402i | ||||
\(532\) | 15.7446 | − | 32.6549i | 0.682614 | − | 1.41577i | ||||
\(533\) | −27.2837 | − | 4.81085i | −1.18179 | − | 0.208381i | ||||
\(534\) | 13.0543 | + | 33.7064i | 0.564915 | + | 1.45862i | ||||
\(535\) | 32.2211 | + | 38.3996i | 1.39304 | + | 1.66016i | ||||
\(536\) | −2.91163 | + | 4.83470i | −0.125763 | + | 0.208827i | ||||
\(537\) | −23.6767 | + | 2.01195i | −1.02173 | + | 0.0868220i | ||||
\(538\) | 23.4548 | + | 5.71158i | 1.01121 | + | 0.246244i | ||||
\(539\) | −30.3447 | − | 22.6497i | −1.30704 | − | 0.975593i | ||||
\(540\) | −17.5518 | + | 27.2343i | −0.755310 | + | 1.17198i | ||||
\(541\) | 13.9888 | + | 24.2293i | 0.601425 | + | 1.04170i | 0.992605 | + | 0.121385i | \(0.0387336\pi\) |
−0.391180 | + | 0.920314i | \(0.627933\pi\) | |||||||
\(542\) | 7.10200 | − | 7.43546i | 0.305057 | − | 0.319380i | ||||
\(543\) | −12.6508 | + | 26.9539i | −0.542896 | + | 1.15670i | ||||
\(544\) | 4.00594 | + | 0.593679i | 0.171753 | + | 0.0254538i | ||||
\(545\) | 3.92765 | − | 10.7911i | 0.168242 | − | 0.462241i | ||||
\(546\) | 20.1563 | − | 0.986515i | 0.862608 | − | 0.0422190i | ||||
\(547\) | 31.5283 | + | 5.55929i | 1.34805 | + | 0.237698i | 0.800631 | − | 0.599158i | \(-0.204498\pi\) |
0.547422 | + | 0.836856i | \(0.315609\pi\) | |||||||
\(548\) | 22.6111 | + | 17.2700i | 0.965900 | + | 0.737737i | ||||
\(549\) | −2.40073 | + | 1.37014i | −0.102461 | + | 0.0584761i | ||||
\(550\) | −16.0069 | − | 32.3675i | −0.682536 | − | 1.38016i | ||||
\(551\) | 6.24277 | + | 5.23831i | 0.265951 | + | 0.223160i | ||||
\(552\) | −2.26679 | − | 34.1358i | −0.0964812 | − | 1.45292i | ||||
\(553\) | −7.44386 | − | 18.7715i | −0.316545 | − | 0.798243i | ||||
\(554\) | 30.8913 | + | 13.5513i | 1.31244 | + | 0.575740i | ||||
\(555\) | 7.60723 | − | 28.1099i | 0.322909 | − | 1.19320i | ||||
\(556\) | −4.43942 | + | 4.08627i | −0.188273 | + | 0.173296i | ||||
\(557\) | 16.2977i | 0.690554i | 0.938501 | + | 0.345277i | \(0.112215\pi\) | ||||
−0.938501 | + | 0.345277i | \(0.887785\pi\) | |||||||
\(558\) | 0.693529 | + | 6.56741i | 0.0293594 | + | 0.278021i | ||||
\(559\) | −1.66479 | − | 0.961166i | −0.0704130 | − | 0.0406530i | ||||
\(560\) | −31.5720 | + | 9.58450i | −1.33416 | + | 0.405019i | ||||
\(561\) | −6.68042 | − | 0.601256i | −0.282047 | − | 0.0253850i | ||||
\(562\) | 11.8160 | + | 16.0773i | 0.498429 | + | 0.678181i | ||||
\(563\) | 29.1981 | + | 10.6272i | 1.23055 | + | 0.447885i | 0.873787 | − | 0.486309i | \(-0.161657\pi\) |
0.356766 | + | 0.934194i | \(0.383879\pi\) | |||||||
\(564\) | −23.0264 | + | 36.1236i | −0.969588 | + | 1.52108i | ||||
\(565\) | 9.82458 | − | 55.7179i | 0.413323 | − | 2.34407i | ||||
\(566\) | 25.1879 | − | 12.4563i | 1.05873 | − | 0.523579i | ||||
\(567\) | −18.5207 | − | 14.9661i | −0.777796 | − | 0.628517i | ||||
\(568\) | −5.39046 | − | 1.05345i | −0.226179 | − | 0.0442020i | ||||
\(569\) | −31.7611 | − | 5.60033i | −1.33149 | − | 0.234778i | −0.537788 | − | 0.843080i | \(-0.680740\pi\) |
−0.793706 | + | 0.608302i | \(0.791851\pi\) | |||||||
\(570\) | 27.0807 | + | 44.7665i | 1.13429 | + | 1.87506i | ||||
\(571\) | 14.7064 | − | 40.4055i | 0.615443 | − | 1.69092i | −0.102429 | − | 0.994740i | \(-0.532661\pi\) |
0.717872 | − | 0.696175i | \(-0.245116\pi\) | |||||||
\(572\) | −29.9168 | − | 15.4888i | −1.25089 | − | 0.647621i | ||||
\(573\) | −3.66236 | + | 40.6917i | −0.152997 | + | 1.69992i | ||||
\(574\) | −1.19377 | + | 33.2683i | −0.0498270 | + | 1.38859i | ||||
\(575\) | 16.4811 | − | 28.5460i | 0.687308 | − | 1.19045i | ||||
\(576\) | −7.25621 | − | 22.8768i | −0.302342 | − | 0.953200i | ||||
\(577\) | −46.6619 | −1.94256 | −0.971280 | − | 0.237939i | \(-0.923528\pi\) | ||||
−0.971280 | + | 0.237939i | \(0.923528\pi\) | |||||||
\(578\) | −22.3780 | + | 6.54974i | −0.930803 | + | 0.272433i | ||||
\(579\) | −30.4151 | − | 8.23106i | −1.26401 | − | 0.342071i | ||||
\(580\) | −0.340088 | − | 7.40927i | −0.0141214 | − | 0.307653i | ||||
\(581\) | 0.750250 | − | 5.09972i | 0.0311256 | − | 0.211572i | ||||
\(582\) | −17.5980 | + | 15.3902i | −0.729459 | + | 0.637944i | ||||
\(583\) | −10.8541 | + | 12.9354i | −0.449530 | + | 0.535729i | ||||
\(584\) | −14.4215 | − | 2.81840i | −0.596768 | − | 0.116626i | ||||
\(585\) | −14.6880 | + | 25.1498i | −0.607275 | + | 1.03982i | ||||
\(586\) | 18.2628 | − | 9.03161i | 0.754430 | − | 0.373093i | ||||
\(587\) | 3.85725 | − | 21.8756i | 0.159206 | − | 0.902902i | −0.795633 | − | 0.605779i | \(-0.792862\pi\) |
0.954839 | − | 0.297123i | \(-0.0960272\pi\) | |||||||
\(588\) | −4.52170 | − | 23.8234i | −0.186472 | − | 0.982460i | ||||
\(589\) | 10.0210 | + | 3.64733i | 0.412907 | + | 0.150286i | ||||
\(590\) | 11.4752 | − | 26.1586i | 0.472427 | − | 1.07693i | ||||
\(591\) | 8.93091 | + | 4.19170i | 0.367369 | + | 0.172424i | ||||
\(592\) | 12.4515 | + | 17.6145i | 0.511753 | + | 0.723950i | ||||
\(593\) | −10.6347 | + | 6.13996i | −0.436716 | + | 0.252138i | −0.702203 | − | 0.711976i | \(-0.747800\pi\) |
0.265488 | + | 0.964114i | \(0.414467\pi\) | |||||||
\(594\) | 14.1710 | + | 37.1389i | 0.581445 | + | 1.52383i | ||||
\(595\) | −4.41376 | + | 3.92298i | −0.180946 | + | 0.160826i | ||||
\(596\) | −0.319510 | − | 1.42613i | −0.0130877 | − | 0.0584164i | ||||
\(597\) | 2.74498 | + | 32.3031i | 0.112345 | + | 1.32208i | ||||
\(598\) | −3.38208 | − | 30.5659i | −0.138304 | − | 1.24993i | ||||
\(599\) | 29.0570 | − | 24.3817i | 1.18724 | − | 0.996209i | 0.187332 | − | 0.982297i | \(-0.440016\pi\) |
0.999903 | − | 0.0139121i | \(-0.00442851\pi\) | |||||||
\(600\) | 6.45169 | − | 22.2056i | 0.263389 | − | 0.906542i | ||||
\(601\) | 5.57129 | − | 31.5964i | 0.227258 | − | 1.28884i | −0.631064 | − | 0.775731i | \(-0.717382\pi\) |
0.858322 | − | 0.513112i | \(-0.171507\pi\) | |||||||
\(602\) | −0.867350 | + | 2.14084i | −0.0353506 | + | 0.0872542i | ||||
\(603\) | 5.63524 | − | 2.01928i | 0.229485 | − | 0.0822314i | ||||
\(604\) | 12.0940 | − | 5.04120i | 0.492098 | − | 0.205123i | ||||
\(605\) | −56.0691 | − | 9.88649i | −2.27953 | − | 0.401943i | ||||
\(606\) | 11.1284 | − | 32.6355i | 0.452061 | − | 1.32573i | ||||
\(607\) | 9.99169 | − | 27.4519i | 0.405550 | − | 1.11424i | −0.553954 | − | 0.832547i | \(-0.686882\pi\) |
0.959505 | − | 0.281693i | \(-0.0908959\pi\) | |||||||
\(608\) | −38.3367 | − | 5.68149i | −1.55476 | − | 0.230415i | ||||
\(609\) | 5.44076 | + | 0.333916i | 0.220471 | + | 0.0135310i | ||||
\(610\) | 2.80603 | − | 2.93778i | 0.113613 | − | 0.118947i | ||||
\(611\) | −19.2538 | + | 33.3486i | −0.778927 | + | 1.34914i | ||||
\(612\) | −2.89316 | − | 3.17484i | −0.116949 | − | 0.128335i | ||||
\(613\) | 14.0183 | + | 24.2804i | 0.566193 | + | 0.980675i | 0.996938 | + | 0.0782012i | \(0.0249177\pi\) |
−0.430745 | + | 0.902474i | \(0.641749\pi\) | |||||||
\(614\) | −1.77275 | + | 1.85598i | −0.0715423 | + | 0.0749015i | ||||
\(615\) | −39.2869 | − | 27.6553i | −1.58420 | − | 1.11517i | ||||
\(616\) | −13.4639 | + | 38.1754i | −0.542477 | + | 1.53813i | ||||
\(617\) | −0.607922 | + | 0.107193i | −0.0244740 | + | 0.00431543i | −0.185872 | − | 0.982574i | \(-0.559511\pi\) |
0.161398 | + | 0.986889i | \(0.448400\pi\) | |||||||
\(618\) | −2.04209 | + | 1.23533i | −0.0821451 | + | 0.0496922i | ||||
\(619\) | −0.280034 | − | 0.769388i | −0.0112555 | − | 0.0309243i | 0.933938 | − | 0.357436i | \(-0.116349\pi\) |
−0.945193 | + | 0.326512i | \(0.894127\pi\) | |||||||
\(620\) | −3.73429 | − | 8.95869i | −0.149973 | − | 0.359790i | ||||
\(621\) | −21.0348 | + | 29.5673i | −0.844096 | + | 1.18650i | ||||
\(622\) | −10.0208 | − | 20.2631i | −0.401797 | − | 0.812474i | ||||
\(623\) | 33.2423 | − | 20.4755i | 1.33182 | − | 0.820334i | ||||
\(624\) | −7.41869 | − | 20.2581i | −0.296985 | − | 0.810972i | ||||
\(625\) | −20.1630 | + | 16.9188i | −0.806521 | + | 0.676751i | ||||
\(626\) | −1.73505 | − | 0.761128i | −0.0693466 | − | 0.0304208i | ||||
\(627\) | 63.9314 | + | 5.75400i | 2.55317 | + | 0.229793i | ||||
\(628\) | −6.63554 | + | 21.2104i | −0.264787 | + | 0.846388i | ||||
\(629\) | 3.34340 | + | 1.93031i | 0.133310 | + | 0.0769666i | ||||
\(630\) | 32.3694 | + | 13.3027i | 1.28963 | + | 0.529991i | ||||
\(631\) | −24.7439 | + | 14.2859i | −0.985039 | + | 0.568713i | −0.903788 | − | 0.427981i | \(-0.859225\pi\) |
−0.0812516 | + | 0.996694i | \(0.525892\pi\) | |||||||
\(632\) | −16.7906 | + | 13.5687i | −0.667894 | + | 0.539733i | ||||
\(633\) | −3.07491 | + | 11.3623i | −0.122217 | + | 0.451610i | ||||
\(634\) | 17.3515 | + | 23.6091i | 0.689116 | + | 0.937637i | ||||
\(635\) | −46.8001 | − | 17.0339i | −1.85721 | − | 0.675968i | ||||
\(636\) | −10.7214 | + | 1.40867i | −0.425131 | + | 0.0558574i | ||||
\(637\) | −5.00032 | − | 21.2160i | −0.198120 | − | 0.840609i | ||||
\(638\) | −7.57181 | − | 5.04709i | −0.299771 | − | 0.199816i | ||||
\(639\) | 3.72232 | + | 4.48130i | 0.147253 | + | 0.177277i | ||||
\(640\) | 19.8254 | + | 29.1742i | 0.783668 | + | 1.15321i | ||||
\(641\) | 8.77587 | − | 10.4587i | 0.346626 | − | 0.413093i | −0.564361 | − | 0.825528i | \(-0.690877\pi\) |
0.910987 | + | 0.412435i | \(0.135322\pi\) | |||||||
\(642\) | 30.6804 | + | 24.6932i | 1.21086 | + | 0.974562i | ||||
\(643\) | −9.79457 | + | 26.9104i | −0.386260 | + | 1.06124i | 0.582411 | + | 0.812894i | \(0.302109\pi\) |
−0.968671 | + | 0.248346i | \(0.920113\pi\) | |||||||
\(644\) | −35.8137 | + | 9.10147i | −1.41126 | + | 0.358648i | ||||
\(645\) | −1.90529 | − | 2.73553i | −0.0750206 | − | 0.107711i | ||||
\(646\) | −6.65689 | + | 1.94838i | −0.261912 | + | 0.0766580i | ||||
\(647\) | −8.47527 | + | 14.6796i | −0.333197 | + | 0.577115i | −0.983137 | − | 0.182871i | \(-0.941461\pi\) |
0.649940 | + | 0.759986i | \(0.274794\pi\) | |||||||
\(648\) | −9.38315 | + | 23.6634i | −0.368605 | + | 0.929586i | ||||
\(649\) | −17.5226 | − | 30.3501i | −0.687824 | − | 1.19135i | ||||
\(650\) | 4.91802 | − | 20.1960i | 0.192901 | − | 0.792153i | ||||
\(651\) | 6.83974 | − | 2.02446i | 0.268071 | − | 0.0793450i | ||||
\(652\) | 13.1081 | − | 25.3184i | 0.513352 | − | 0.991544i | ||||
\(653\) | 30.1973 | − | 5.32460i | 1.18171 | − | 0.208368i | 0.451934 | − | 0.892051i | \(-0.350734\pi\) |
0.729779 | + | 0.683683i | \(0.239623\pi\) | |||||||
\(654\) | 1.38479 | − | 8.91546i | 0.0541496 | − | 0.348622i | ||||
\(655\) | −15.0234 | + | 17.9042i | −0.587012 | + | 0.699574i | ||||
\(656\) | 34.3341 | − | 9.36448i | 1.34052 | − | 0.365621i | ||||
\(657\) | 9.95862 | + | 11.9892i | 0.388523 | + | 0.467743i | ||||
\(658\) | 42.8848 | + | 17.3746i | 1.67183 | + | 0.677331i | ||||
\(659\) | 1.52432 | − | 0.554805i | 0.0593789 | − | 0.0216121i | −0.312160 | − | 0.950030i | \(-0.601052\pi\) |
0.371539 | + | 0.928417i | \(0.378830\pi\) | |||||||
\(660\) | −35.5529 | − | 46.3584i | −1.38390 | − | 1.80450i | ||||
\(661\) | −5.40402 | − | 30.6477i | −0.210192 | − | 1.19206i | −0.889057 | − | 0.457796i | \(-0.848639\pi\) |
0.678865 | − | 0.734263i | \(-0.262472\pi\) | |||||||
\(662\) | 4.07242 | + | 5.54109i | 0.158279 | + | 0.215361i | ||||
\(663\) | −2.72340 | − | 2.73702i | −0.105768 | − | 0.106297i | ||||
\(664\) | −5.44354 | + | 0.856531i | −0.211250 | + | 0.0332399i | ||||
\(665\) | 42.2395 | − | 37.5428i | 1.63798 | − | 1.45585i | ||||
\(666\) | 1.58477 | − | 22.8246i | 0.0614084 | − | 0.884434i | ||||
\(667\) | − | 8.30665i | − | 0.321635i | ||||||
\(668\) | −8.53271 | + | 1.91167i | −0.330141 | + | 0.0739649i | ||||
\(669\) | −4.52071 | − | 0.406876i | −0.174781 | − | 0.0157307i | ||||
\(670\) | −7.08912 | + | 5.21015i | −0.273877 | + | 0.201286i | ||||
\(671\) | −0.865498 | − | 4.90848i | −0.0334122 | − | 0.189490i | ||||
\(672\) | −22.8763 | + | 12.1933i | −0.882471 | + | 0.470367i | ||||
\(673\) | 2.09886 | + | 1.76115i | 0.0809050 | + | 0.0678873i | 0.682343 | − | 0.731032i | \(-0.260961\pi\) |
−0.601438 | + | 0.798919i | \(0.705405\pi\) | |||||||
\(674\) | 10.4144 | − | 15.6241i | 0.401150 | − | 0.601818i | ||||
\(675\) | −20.1957 | + | 13.9171i | −0.777334 | + | 0.535671i | ||||
\(676\) | 2.54212 | + | 6.09863i | 0.0977739 | + | 0.234563i | ||||
\(677\) | −6.54137 | − | 1.15342i | −0.251405 | − | 0.0443295i | 0.0465252 | − | 0.998917i | \(-0.485185\pi\) |
−0.297930 | + | 0.954588i | \(0.596296\pi\) | |||||||
\(678\) | −0.908504 | − | 44.4419i | −0.0348909 | − | 1.70678i | ||||
\(679\) | 19.7979 | + | 15.6742i | 0.759773 | + | 0.601522i | ||||
\(680\) | 5.40791 | + | 3.25685i | 0.207384 | + | 0.124894i | ||||
\(681\) | 1.06078 | − | 11.7861i | 0.0406491 | − | 0.451643i | ||||
\(682\) | −11.5696 | − | 2.81737i | −0.443024 | − | 0.107883i | ||||
\(683\) | 6.18005 | + | 10.7042i | 0.236473 | + | 0.409583i | 0.959700 | − | 0.281028i | \(-0.0906752\pi\) |
−0.723227 | + | 0.690611i | \(0.757342\pi\) | |||||||
\(684\) | 27.6875 | + | 30.3831i | 1.05866 | + | 1.16173i | ||||
\(685\) | 22.1763 | + | 38.4105i | 0.847313 | + | 1.46759i | ||||
\(686\) | −24.4179 | + | 9.47440i | −0.932281 | + | 0.361734i | ||||
\(687\) | 3.37581 | + | 0.913576i | 0.128795 | + | 0.0348551i | ||||
\(688\) | 2.46090 | + | 0.204221i | 0.0938208 | + | 0.00778584i | ||||
\(689\) | −9.57269 | + | 1.68792i | −0.364690 | + | 0.0643047i | ||||
\(690\) | 17.2119 | − | 50.4761i | 0.655246 | − | 1.92159i | ||||
\(691\) | 20.4228 | − | 24.3389i | 0.776920 | − | 0.925897i | −0.221870 | − | 0.975076i | \(-0.571216\pi\) |
0.998790 | + | 0.0491790i | \(0.0156605\pi\) | |||||||
\(692\) | −3.75662 | + | 29.0357i | −0.142805 | + | 1.10377i | ||||
\(693\) | 36.6692 | − | 22.3348i | 1.39295 | − | 0.848427i | ||||
\(694\) | 43.3464 | + | 2.79243i | 1.64541 | + | 0.105999i | ||||
\(695\) | −8.83850 | + | 3.21695i | −0.335264 | + | 0.122026i | ||||
\(696\) | −1.38994 | − | 5.65917i | −0.0526854 | − | 0.214510i | ||||
\(697\) | 4.87918 | − | 4.09412i | 0.184812 | − | 0.155076i | ||||
\(698\) | 20.1134 | + | 8.82331i | 0.761305 | + | 0.333967i | ||||
\(699\) | −14.5084 | − | 6.80947i | −0.548756 | − | 0.257558i | ||||
\(700\) | −24.8514 | − | 2.49848i | −0.939294 | − | 0.0944336i | ||||
\(701\) | 21.9376i | 0.828570i | 0.910147 | + | 0.414285i | \(0.135968\pi\) | ||||
−0.910147 | + | 0.414285i | \(0.864032\pi\) | |||||||
\(702\) | −7.49309 | + | 21.6208i | −0.282808 | + | 0.816024i | ||||
\(703\) | −31.9962 | − | 18.4730i | −1.20676 | − | 0.696723i | ||||
\(704\) | 43.2456 | + | 1.59772i | 1.62988 | + | 0.0602162i | ||||
\(705\) | −54.7975 | + | 38.1663i | −2.06379 | + | 1.43743i | ||||
\(706\) | 5.24328 | + | 7.13420i | 0.197334 | + | 0.268499i | ||||
\(707\) | −36.8468 | − | 5.42076i | −1.38577 | − | 0.203869i | ||||
\(708\) | 4.86314 | − | 21.9093i | 0.182768 | − | 0.823402i | ||||
\(709\) | 22.8294 | − | 8.30922i | 0.857376 | − | 0.312059i | 0.124332 | − | 0.992241i | \(-0.460321\pi\) |
0.733044 | + | 0.680181i | \(0.238099\pi\) | |||||||
\(710\) | −7.12429 | − | 4.74879i | −0.267370 | − | 0.178219i | ||||
\(711\) | 22.8970 | + | 0.114230i | 0.858705 | + | 0.00428397i | ||||
\(712\) | −31.4723 | − | 27.4144i | −1.17947 | − | 1.02740i | ||||
\(713\) | −3.71773 | − | 10.2144i | −0.139230 | − | 0.382531i | ||||
\(714\) | −2.80491 | + | 3.69560i | −0.104971 | + | 0.138304i | ||||
\(715\) | −33.7564 | − | 40.2294i | −1.26242 | − | 1.50449i | ||||
\(716\) | 23.1080 | − | 14.7942i | 0.863588 | − | 0.552884i | ||||
\(717\) | −6.27043 | − | 23.6373i | −0.234174 | − | 0.882749i | ||||
\(718\) | −22.6493 | + | 6.62915i | −0.845266 | + | 0.247398i | ||||
\(719\) | −1.98800 | + | 3.44331i | −0.0741398 | + | 0.128414i | −0.900712 | − | 0.434417i | \(-0.856954\pi\) |
0.826572 | + | 0.562831i | \(0.190288\pi\) | |||||||
\(720\) | 3.28006 | − | 37.2685i | 0.122241 | − | 1.38892i | ||||
\(721\) | 1.71257 | + | 1.92682i | 0.0637796 | + | 0.0717586i | ||||
\(722\) | 37.9181 | − | 11.0981i | 1.41116 | − | 0.413028i | ||||
\(723\) | 13.4027 | − | 6.20912i | 0.498451 | − | 0.230920i | ||||
\(724\) | −1.57645 | − | 34.3451i | −0.0585885 | − | 1.27643i | ||||
\(725\) | 1.92032 | − | 5.27603i | 0.0713189 | − | 0.195947i | ||||
\(726\) | −44.7219 | + | 0.914229i | −1.65979 | + | 0.0339302i | ||||
\(727\) | 4.39404 | − | 5.23662i | 0.162966 | − | 0.194215i | −0.678382 | − | 0.734710i | \(-0.737318\pi\) |
0.841348 | + | 0.540494i | \(0.181763\pi\) | |||||||
\(728\) | −20.0629 | + | 11.8524i | −0.743579 | + | 0.439278i | ||||
\(729\) | 23.5821 | − | 13.1485i | 0.873411 | − | 0.486983i | ||||
\(730\) | −19.0602 | − | 12.7048i | −0.705449 | − | 0.470227i | ||||
\(731\) | 0.415294 | − | 0.151155i | 0.0153602 | − | 0.00559066i | ||||
\(732\) | 1.71566 | − | 2.69151i | 0.0634127 | − | 0.0994810i | ||||
\(733\) | 1.85748 | − | 1.55861i | 0.0686074 | − | 0.0575685i | −0.607839 | − | 0.794060i | \(-0.707963\pi\) |
0.676447 | + | 0.736492i | \(0.263519\pi\) | |||||||
\(734\) | 16.3411 | − | 1.80813i | 0.603162 | − | 0.0667391i | ||||
\(735\) | 7.78238 | − | 36.9905i | 0.287057 | − | 1.36441i | ||||
\(736\) | 20.6817 | + | 33.6569i | 0.762337 | + | 1.24061i | ||||
\(737\) | 10.7937i | 0.397591i | ||||||||
\(738\) | −34.4912 | − | 15.3361i | −1.26964 | − | 0.564531i | ||||
\(739\) | − | 11.4322i | − | 0.420542i | −0.977643 | − | 0.210271i | \(-0.932565\pi\) | ||
0.977643 | − | 0.210271i | \(-0.0674346\pi\) | |||||||
\(740\) | 7.35138 | + | 32.8127i | 0.270242 | + | 1.20622i | ||||
\(741\) | 26.0628 | + | 26.1932i | 0.957443 | + | 0.962231i | ||||
\(742\) | 3.59863 | + | 11.1118i | 0.132110 | + | 0.407926i | ||||
\(743\) | −4.83557 | + | 4.05753i | −0.177400 | + | 0.148856i | −0.727164 | − | 0.686464i | \(-0.759162\pi\) |
0.549764 | + | 0.835320i | \(0.314718\pi\) | |||||||
\(744\) | −4.24197 | − | 6.33678i | −0.155518 | − | 0.232318i | ||||
\(745\) | 0.395612 | − | 2.24363i | 0.0144941 | − | 0.0822002i | ||||
\(746\) | 15.7426 | + | 31.8330i | 0.576376 | + | 1.16549i | ||||
\(747\) | 5.04709 | + | 2.94761i | 0.184663 | + | 0.107847i | ||||
\(748\) | 7.14886 | − | 2.97989i | 0.261388 | − | 0.108956i | ||||
\(749\) | 20.2123 | − | 37.4301i | 0.738541 | − | 1.36767i | ||||
\(750\) | −1.34001 | + | 1.66492i | −0.0489302 | + | 0.0607941i | ||||
\(751\) | −26.4072 | + | 4.65629i | −0.963611 | + | 0.169911i | −0.633253 | − | 0.773945i | \(-0.718281\pi\) |
−0.330358 | + | 0.943856i | \(0.607169\pi\) | |||||||
\(752\) | 4.09090 | − | 49.2961i | 0.149180 | − | 1.79764i | ||||
\(753\) | 21.9662 | − | 46.8016i | 0.800494 | − | 1.70554i | ||||
\(754\) | −1.47143 | − | 5.02734i | −0.0535864 | − | 0.183085i | ||||
\(755\) | 20.4251 | 0.743346 | ||||||||
\(756\) | 26.9746 | + | 5.32634i | 0.981057 | + | 0.193717i | ||||
\(757\) | 39.9285 | 1.45122 | 0.725612 | − | 0.688104i | \(-0.241557\pi\) | ||||
0.725612 | + | 0.688104i | \(0.241557\pi\) | |||||||
\(758\) | 10.7116 | + | 36.5975i | 0.389062 | + | 1.32928i | ||||
\(759\) | −37.3946 | − | 53.6895i | −1.35734 | − | 1.94881i | ||||
\(760\) | −51.7536 | − | 31.1679i | −1.87730 | − | 1.13058i | ||||
\(761\) | 37.4336 | − | 6.60055i | 1.35697 | − | 0.239270i | 0.552621 | − | 0.833433i | \(-0.313628\pi\) |
0.804345 | + | 0.594163i | \(0.202517\pi\) | |||||||
\(762\) | −38.6655 | − | 6.00571i | −1.40070 | − | 0.217564i | ||||
\(763\) | −9.74132 | + | 0.277359i | −0.352659 | + | 0.0100411i | ||||
\(764\) | −18.1511 | − | 43.5450i | −0.656683 | − | 1.57540i | ||||
\(765\) | −2.25869 | − | 6.30337i | −0.0816631 | − | 0.227899i | ||||
\(766\) | −10.8439 | − | 21.9275i | −0.391807 | − | 0.792273i | ||||
\(767\) | 3.50313 | − | 19.8672i | 0.126491 | − | 0.717365i | ||||
\(768\) | 19.7218 | + | 19.4692i | 0.711650 | + | 0.702535i | ||||
\(769\) | 22.2817 | − | 18.6966i | 0.803499 | − | 0.674216i | −0.145548 | − | 0.989351i | \(-0.546494\pi\) |
0.949047 | + | 0.315135i | \(0.102050\pi\) | |||||||
\(770\) | −42.2690 | + | 46.8539i | −1.52327 | + | 1.68850i | ||||
\(771\) | −7.57741 | + | 27.9997i | −0.272894 | + | 1.00838i | ||||
\(772\) | 35.5035 | − | 7.95423i | 1.27780 | − | 0.286279i | ||||
\(773\) | − | 9.83593i | − | 0.353774i | −0.984231 | − | 0.176887i | \(-0.943397\pi\) | ||
0.984231 | − | 0.176887i | \(-0.0566027\pi\) | |||||||
\(774\) | −1.88495 | − | 1.81848i | −0.0677532 | − | 0.0653641i | ||||
\(775\) | − | 7.34719i | − | 0.263919i | ||||||
\(776\) | 9.69961 | − | 25.1922i | 0.348196 | − | 0.904347i | ||||
\(777\) | −24.5544 | + | 2.79241i | −0.880885 | + | 0.100177i | ||||
\(778\) | −11.8691 | + | 1.31330i | −0.425529 | + | 0.0470843i | ||||
\(779\) | −46.6937 | + | 39.1806i | −1.67297 | + | 1.40379i | ||||
\(780\) | 1.47565 | − | 33.5980i | 0.0528369 | − | 1.20300i | ||||
\(781\) | −9.87082 | + | 3.59269i | −0.353206 | + | 0.128556i | ||||
\(782\) | 5.88290 | + | 3.92133i | 0.210372 | + | 0.140226i | ||||
\(783\) | −2.65399 | + | 5.58205i | −0.0948457 | + | 0.199486i | ||||
\(784\) | 17.4373 | + | 21.9076i | 0.622759 | + | 0.782413i | ||||
\(785\) | −22.2689 | + | 26.5390i | −0.794811 | + | 0.947219i | ||||
\(786\) | −8.85447 | + | 16.0870i | −0.315828 | + | 0.573804i | ||||
\(787\) | −2.90940 | + | 7.99350i | −0.103709 | + | 0.284937i | −0.980684 | − | 0.195598i | \(-0.937335\pi\) |
0.876975 | + | 0.480535i | \(0.159558\pi\) | |||||||
\(788\) | −11.3799 | + | 0.522343i | −0.405393 | + | 0.0186077i | ||||
\(789\) | 11.7821 | + | 8.29376i | 0.419452 | + | 0.295266i | ||||
\(790\) | −32.2973 | + | 9.45298i | −1.14909 | + | 0.336322i | ||||
\(791\) | −47.0269 | + | 9.67967i | −1.67208 | + | 0.344169i | ||||
\(792\) | −34.4600 | − | 30.3205i | −1.22448 | − | 1.07739i | ||||
\(793\) | 1.43457 | − | 2.48475i | 0.0509432 | − | 0.0882361i | ||||
\(794\) | −4.41052 | + | 1.29090i | −0.156524 | + | 0.0458123i | ||||
\(795\) | −16.2715 | − | 4.40346i | −0.577089 | − | 0.156175i | ||||
\(796\) | −20.1842 | − | 31.5272i | −0.715411 | − | 1.11745i | ||||
\(797\) | 0.581477 | + | 0.692977i | 0.0205970 | + | 0.0245465i | 0.776245 | − | 0.630432i | \(-0.217122\pi\) |
−0.755648 | + | 0.654978i | \(0.772678\pi\) | |||||||
\(798\) | 26.8429 | − | 35.3668i | 0.950229 | − | 1.25197i | ||||
\(799\) | −3.02790 | − | 8.31908i | −0.107119 | − | 0.294308i | ||||
\(800\) | 5.35538 | + | 26.1586i | 0.189341 | + | 0.924847i | ||||
\(801\) | 7.46976 | + | 43.6350i | 0.263931 | + | 1.54177i | ||||
\(802\) | −6.86446 | − | 4.57560i | −0.242392 | − | 0.161570i | ||||
\(803\) | −26.4082 | + | 9.61181i | −0.931926 | + | 0.339194i | ||||
\(804\) | −4.67110 | + | 5.09496i | −0.164737 | + | 0.179685i | ||||
\(805\) | −56.9896 | − | 8.38408i | −2.00862 | − | 0.295500i | ||||
\(806\) | −4.05940 | − | 5.52337i | −0.142986 | − | 0.194552i | ||||
\(807\) | 26.7643 | + | 12.5618i | 0.942148 | + | 0.442195i | ||||
\(808\) | 6.18866 | + | 39.3310i | 0.217716 | + | 1.38366i | ||||
\(809\) | 11.7351 | + | 6.77524i | 0.412583 | + | 0.238205i | 0.691899 | − | 0.721995i | \(-0.256774\pi\) |
−0.279316 | + | 0.960199i | \(0.590108\pi\) | |||||||
\(810\) | −27.6935 | + | 28.4206i | −0.973052 | + | 0.998599i | ||||
\(811\) | 54.5756i | 1.91641i | 0.286083 | + | 0.958205i | \(0.407647\pi\) | ||||
−0.286083 | + | 0.958205i | \(0.592353\pi\) | |||||||
\(812\) | −5.73847 | + | 2.58607i | −0.201381 | + | 0.0907533i | ||||
\(813\) | 10.3337 | − | 7.19737i | 0.362418 | − | 0.252423i | ||||
\(814\) | 37.7795 | + | 16.5730i | 1.32417 | + | 0.580883i | ||||
\(815\) | 34.0458 | − | 28.5678i | 1.19257 | − | 1.00069i | ||||
\(816\) | 4.66406 | + | 1.68715i | 0.163275 | + | 0.0590622i | ||||
\(817\) | −3.97436 | + | 1.44655i | −0.139045 | + | 0.0506083i | ||||
\(818\) | 21.1602 | + | 1.36317i | 0.739851 | + | 0.0476621i | ||||
\(819\) | 24.4344 | + | 3.71932i | 0.853806 | + | 0.129963i | ||||
\(820\) | 55.0184 | + | 7.11825i | 1.92133 | + | 0.248580i | ||||
\(821\) | 29.1785 | − | 34.7735i | 1.01834 | − | 1.21360i | 0.0416048 | − | 0.999134i | \(-0.486753\pi\) |
0.976730 | − | 0.214471i | \(-0.0688026\pi\) | |||||||
\(822\) | 22.9398 | + | 26.2306i | 0.800116 | + | 0.914896i | ||||
\(823\) | −0.221913 | + | 0.0391293i | −0.00773540 | + | 0.00136396i | −0.177515 | − | 0.984118i | \(-0.556806\pi\) |
0.169779 | + | 0.985482i | \(0.445695\pi\) | |||||||
\(824\) | 1.42177 | − | 2.36082i | 0.0495299 | − | 0.0822431i | ||||
\(825\) | −11.3396 | − | 42.7461i | −0.394794 | − | 1.48823i | ||||
\(826\) | −24.2251 | − | 0.869272i | −0.842900 | − | 0.0302458i | ||||
\(827\) | −14.0407 | − | 24.3192i | −0.488243 | − | 0.845662i | 0.511665 | − | 0.859185i | \(-0.329029\pi\) |
−0.999909 | + | 0.0135228i | \(0.995695\pi\) | |||||||
\(828\) | 5.58339 | − | 41.5260i | 0.194036 | − | 1.44313i | ||||
\(829\) | 10.7436 | + | 18.6084i | 0.373140 | + | 0.646297i | 0.990047 | − | 0.140739i | \(-0.0449479\pi\) |
−0.616907 | + | 0.787036i | \(0.711615\pi\) | |||||||
\(830\) | −8.34620 | − | 2.03242i | −0.289701 | − | 0.0705463i | ||||
\(831\) | 33.7834 | + | 23.7812i | 1.17193 | + | 0.824961i | ||||
\(832\) | 18.4789 | + | 16.7062i | 0.640640 | + | 0.579185i | ||||
\(833\) | 4.47539 | + | 2.25463i | 0.155063 | + | 0.0781182i | ||||
\(834\) | −6.32289 | + | 3.82492i | −0.218944 | + | 0.132446i | ||||
\(835\) | −13.4239 | − | 2.36700i | −0.464554 | − | 0.0819135i | ||||
\(836\) | −68.4144 | + | 28.5175i | −2.36616 | + | 0.986297i | ||||
\(837\) | −0.765201 | + | 8.05185i | −0.0264492 | + | 0.278313i | ||||
\(838\) | −20.2032 | + | 30.3095i | −0.697908 | + | 1.04702i | ||||
\(839\) | 16.3635 | + | 13.7306i | 0.564930 | + | 0.474032i | 0.879959 | − | 0.475050i | \(-0.157570\pi\) |
−0.315029 | + | 0.949082i | \(0.602014\pi\) | |||||||
\(840\) | −40.2289 | + | 3.82405i | −1.38803 | + | 0.131942i | ||||
\(841\) | 4.79010 | + | 27.1660i | 0.165176 | + | 0.936759i | ||||
\(842\) | 4.08089 | − | 2.99925i | 0.140637 | − | 0.103361i | ||||
\(843\) | 10.2721 | + | 22.1728i | 0.353789 | + | 0.763672i | ||||
\(844\) | −2.97149 | − | 13.2632i | −0.102283 | − | 0.456538i | ||||
\(845\) | 10.2998i | 0.354322i | ||||||||
\(846\) | −36.4275 | + | 37.7589i | −1.25240 | + | 1.29818i | ||||
\(847\) | 9.74066 | + | 47.3232i | 0.334693 | + | 1.62604i | ||||
\(848\) | 10.1962 | − | 7.20756i | 0.350137 | − | 0.247509i | ||||
\(849\) | 33.2644 | − | 8.82430i | 1.14163 | − | 0.302849i | ||||
\(850\) | 2.83005 | + | 3.85066i | 0.0970697 | + | 0.132077i | ||||
\(851\) | 6.53944 | + | 37.0870i | 0.224169 | + | 1.27133i | ||||
\(852\) | −6.21411 | − | 2.57586i | −0.212892 | − | 0.0882474i | ||||
\(853\) | 29.0878 | − | 10.5871i | 0.995946 | − | 0.362495i | 0.207926 | − | 0.978144i | \(-0.433329\pi\) |
0.788020 | + | 0.615650i | \(0.211106\pi\) | |||||||
\(854\) | −3.19528 | − | 1.29455i | −0.109340 | − | 0.0442986i | ||||
\(855\) | 21.6156 | + | 60.3231i | 0.739238 | + | 2.06301i | ||||
\(856\) | −44.6316 | − | 8.72233i | −1.52548 | − | 0.298123i | ||||
\(857\) | 6.69969 | − | 7.98438i | 0.228857 | − | 0.272741i | −0.639380 | − | 0.768891i | \(-0.720809\pi\) |
0.868237 | + | 0.496150i | \(0.165253\pi\) | |||||||
\(858\) | −32.1424 | − | 25.8698i | −1.09732 | − | 0.883182i | ||||
\(859\) | 11.0565 | − | 1.94957i | 0.377244 | − | 0.0665184i | 0.0181889 | − | 0.999835i | \(-0.494210\pi\) |
0.359056 | + | 0.933316i | \(0.383099\pi\) | |||||||
\(860\) | 3.41840 | + | 1.76981i | 0.116566 | + | 0.0603499i | ||||
\(861\) | −9.52622 | + | 39.6429i | −0.324653 | + | 1.35103i | ||||
\(862\) | 7.10628 | − | 29.1822i | 0.242041 | − | 0.993949i | ||||
\(863\) | −17.9872 | − | 31.1547i | −0.612291 | − | 1.06052i | −0.990853 | − | 0.134944i | \(-0.956915\pi\) |
0.378562 | − | 0.925576i | \(-0.376419\pi\) | |||||||
\(864\) | −3.14462 | − | 29.2252i | −0.106982 | − | 0.994261i | ||||
\(865\) | −22.8199 | + | 39.5251i | −0.775898 | + | 1.34390i | ||||
\(866\) | 21.2825 | − | 6.22909i | 0.723209 | − | 0.211673i | ||||
\(867\) | −28.4546 | + | 2.41795i | −0.966370 | + | 0.0821180i | ||||
\(868\) | −5.89895 | + | 5.74830i | −0.200224 | + | 0.195110i | ||||
\(869\) | −14.1209 | + | 38.7969i | −0.479019 | + | 1.31609i | ||||
\(870\) | 1.39425 | − | 8.97639i | 0.0472696 | − | 0.304328i | ||||
\(871\) | −3.99388 | + | 4.75972i | −0.135327 | + | 0.161277i | ||||
\(872\) | 3.38185 | + | 9.85396i | 0.114524 | + | 0.333697i | ||||
\(873\) | −24.8676 | + | 14.1924i | −0.841640 | + | 0.480339i | ||||
\(874\) | −56.2992 | − | 37.5270i | −1.90435 | − | 1.26937i | ||||
\(875\) | 2.03120 | + | 1.09685i | 0.0686670 | + | 0.0370802i | ||||
\(876\) | −16.6251 | − | 6.89141i | −0.561711 | − | 0.232839i | ||||
\(877\) | −21.9969 | − | 8.00622i | −0.742783 | − | 0.270351i | −0.0572174 | − | 0.998362i | \(-0.518223\pi\) |
−0.685566 | + | 0.728011i | \(0.740445\pi\) | |||||||
\(878\) | −21.9511 | − | 29.8675i | −0.740814 | − | 1.00798i | ||||
\(879\) | 24.1188 | − | 6.39816i | 0.813506 | − | 0.215805i | ||||
\(880\) | 61.2661 | + | 28.2361i | 2.06528 | + | 0.951840i | ||||
\(881\) | −24.5640 | + | 14.1820i | −0.827583 | + | 0.477805i | −0.853024 | − | 0.521871i | \(-0.825234\pi\) |
0.0254414 | + | 0.999676i | \(0.491901\pi\) | |||||||
\(882\) | 0.368009 | − | 29.6962i | 0.0123915 | − | 0.999923i | ||||
\(883\) | 28.8666 | + | 16.6661i | 0.971437 | + | 0.560860i | 0.899674 | − | 0.436562i | \(-0.143804\pi\) |
0.0717632 | + | 0.997422i | \(0.477137\pi\) | |||||||
\(884\) | 4.25506 | + | 1.33117i | 0.143113 | + | 0.0447720i | ||||
\(885\) | 20.1378 | − | 28.6077i | 0.676926 | − | 0.961636i | ||||
\(886\) | −25.6154 | − | 11.2369i | −0.860568 | − | 0.377512i | ||||
\(887\) | 9.47973 | − | 7.95444i | 0.318298 | − | 0.267084i | −0.469613 | − | 0.882872i | \(-0.655607\pi\) |
0.787912 | + | 0.615788i | \(0.211162\pi\) | |||||||
\(888\) | 10.6609 | + | 24.1725i | 0.357757 | + | 0.811175i | ||||
\(889\) | 1.20288 | + | 42.2472i | 0.0403432 | + | 1.41693i | ||||
\(890\) | −28.8420 | − | 58.3214i | −0.966786 | − | 1.95494i | ||||
\(891\) | 7.97518 | + | 48.0268i | 0.267179 | + | 1.60896i | ||||
\(892\) | 4.83771 | − | 2.01652i | 0.161978 | − | 0.0675182i | ||||
\(893\) | 28.9769 | + | 79.6134i | 0.969675 | + | 2.66416i | ||||
\(894\) | −0.0365833 | − | 1.78957i | −0.00122353 | − | 0.0598521i | ||||
\(895\) | 42.1223 | − | 7.42729i | 1.40799 | − | 0.248267i | ||||
\(896\) | 16.8124 | − | 24.7658i | 0.561663 | − | 0.827366i | ||||
\(897\) | 3.37620 | − | 37.5123i | 0.112728 | − | 1.25250i | ||||
\(898\) | 4.64340 | − | 4.86142i | 0.154952 | − | 0.162228i | ||||
\(899\) | −0.925768 | − | 1.60348i | −0.0308761 | − | 0.0534790i | ||||
\(900\) | 13.1463 | − | 25.0848i | 0.438209 | − | 0.836161i | ||||
\(901\) | 1.11736 | − | 1.93533i | 0.0372248 | − | 0.0644752i | ||||
\(902\) | 47.0113 | − | 49.2186i | 1.56531 | − | 1.63880i | ||||
\(903\) | −1.56192 | + | 2.35874i | −0.0519776 | + | 0.0784938i | ||||
\(904\) | 24.8388 | + | 44.9174i | 0.826126 | + | 1.49393i | ||||
\(905\) | 18.3308 | − | 50.3633i | 0.609335 | − | 1.67413i | ||||
\(906\) | 15.7433 | − | 3.10901i | 0.523036 | − | 0.103290i | ||||
\(907\) | −32.3116 | − | 5.69740i | −1.07289 | − | 0.189179i | −0.390819 | − | 0.920467i | \(-0.627808\pi\) |
−0.682068 | + | 0.731288i | \(0.738919\pi\) | |||||||
\(908\) | 5.25734 | + | 12.6125i | 0.174471 | + | 0.418562i | ||||
\(909\) | 21.2972 | − | 36.4665i | 0.706384 | − | 1.20952i | ||||
\(910\) | −35.9763 | + | 5.02088i | −1.19260 | + | 0.166441i | ||||
\(911\) | −4.55525 | + | 25.8341i | −0.150922 | + | 0.855922i | 0.811497 | + | 0.584356i | \(0.198653\pi\) |
−0.962420 | + | 0.271566i | \(0.912458\pi\) | |||||||
\(912\) | −44.6350 | − | 16.1460i | −1.47801 | − | 0.534648i | ||||
\(913\) | −8.07326 | + | 6.77427i | −0.267186 | + | 0.224196i | ||||
\(914\) | −0.0450568 | − | 0.407205i | −0.00149035 | − | 0.0134692i | ||||
\(915\) | 4.08287 | − | 2.84371i | 0.134976 | − | 0.0940100i | ||||
\(916\) | −3.94058 | + | 0.882850i | −0.130200 | + | 0.0291702i | ||||
\(917\) | 18.8235 | + | 6.25046i | 0.621606 | + | 0.206409i | ||||
\(918\) | −2.70043 | − | 4.51472i | −0.0891274 | − | 0.149008i | ||||
\(919\) | −18.9440 | + | 10.9373i | −0.624904 | + | 0.360789i | −0.778776 | − | 0.627302i | \(-0.784159\pi\) |
0.153872 | + | 0.988091i | \(0.450826\pi\) | |||||||
\(920\) | 9.57178 | + | 60.8318i | 0.315572 | + | 2.00556i | ||||
\(921\) | −2.57941 | + | 1.79655i | −0.0849946 | + | 0.0591984i | ||||
\(922\) | −18.0973 | + | 41.2542i | −0.596002 | + | 1.35863i | ||||
\(923\) | −5.68212 | − | 2.06812i | −0.187029 | − | 0.0680730i | ||||
\(924\) | −25.4484 | + | 42.5481i | −0.837189 | + | 1.39973i | ||||
\(925\) | −4.42014 | + | 25.0679i | −0.145333 | + | 0.824227i | ||||
\(926\) | 18.0336 | − | 8.91825i | 0.592621 | − | 0.293072i | ||||
\(927\) | −2.75173 | + | 0.986030i | −0.0903787 | + | 0.0323855i | ||||
\(928\) | 4.46484 | + | 5.03415i | 0.146566 | + | 0.165254i | ||||
\(929\) | −16.8762 | + | 20.1123i | −0.553691 | + | 0.659864i | −0.968199 | − | 0.250182i | \(-0.919509\pi\) |
0.414507 | + | 0.910046i | \(0.363954\pi\) | |||||||
\(930\) | −2.30301 | − | 11.6619i | −0.0755188 | − | 0.382410i | ||||
\(931\) | −42.8294 | − | 21.5767i | −1.40368 | − | 0.707148i | ||||
\(932\) | 18.4868 | − | 0.848551i | 0.605555 | − | 0.0277952i | ||||
\(933\) | −7.09892 | − | 26.7604i | −0.232408 | − | 0.876095i | ||||
\(934\) | 38.2902 | − | 11.2070i | 1.25289 | − | 0.366704i | ||||
\(935\) | 12.0734 | 0.394844 | ||||||||
\(936\) | −3.97671 | − | 26.1213i | −0.129983 | − | 0.853803i | ||||
\(937\) | −6.30311 | + | 10.9173i | −0.205914 | + | 0.356653i | −0.950423 | − | 0.310959i | \(-0.899350\pi\) |
0.744510 | + | 0.667611i | \(0.232683\pi\) | |||||||
\(938\) | 6.32770 | + | 3.96245i | 0.206607 | + | 0.129379i | ||||
\(939\) | −1.89749 | − | 1.33570i | −0.0619223 | − | 0.0435891i | ||||
\(940\) | 35.4524 | − | 68.4766i | 1.15633 | − | 2.23346i | ||||
\(941\) | 10.3743 | − | 28.5031i | 0.338192 | − | 0.929174i | −0.647716 | − | 0.761882i | \(-0.724275\pi\) |
0.985907 | − | 0.167292i | \(-0.0535023\pi\) | |||||||
\(942\) | −13.1248 | + | 23.8455i | −0.427630 | + | 0.776928i | ||||
\(943\) | 61.1868 | + | 10.7889i | 1.99252 | + | 0.351334i | ||||
\(944\) | 6.81897 | + | 25.0012i | 0.221938 | + | 0.813719i | ||||
\(945\) | 35.6181 | + | 23.8423i | 1.15866 | + | 0.775591i | ||||
\(946\) | 4.23329 | − | 2.09351i | 0.137636 | − | 0.0680659i | ||||
\(947\) | 8.00565 | − | 45.4023i | 0.260149 | − | 1.47538i | −0.522354 | − | 0.852729i | \(-0.674946\pi\) |
0.782503 | − | 0.622647i | \(-0.213943\pi\) | |||||||
\(948\) | −23.4553 | + | 12.2023i | −0.761793 | + | 0.396313i | ||||
\(949\) | −15.2018 | − | 5.53302i | −0.493473 | − | 0.179609i | ||||
\(950\) | −27.0835 | − | 36.8507i | −0.878703 | − | 1.19560i | ||||
\(951\) | 15.0843 | + | 32.5601i | 0.489141 | + | 1.05583i | ||||
\(952\) | 0.877468 | − | 5.28489i | 0.0284389 | − | 0.171284i | ||||
\(953\) | 31.9739 | + | 18.4601i | 1.03574 | + | 0.597983i | 0.918623 | − | 0.395136i | \(-0.129302\pi\) |
0.117114 | + | 0.993118i | \(0.462636\pi\) | |||||||
\(954\) | −13.2120 | − | 0.917344i | −0.427755 | − | 0.0297001i | ||||
\(955\) | − | 73.5416i | − | 2.37975i | ||||||
\(956\) | 19.1238 | + | 20.7765i | 0.618508 | + | 0.671961i | ||||
\(957\) | −7.86093 | − | 7.90024i | −0.254108 | − | 0.255379i | ||||
\(958\) | 38.3080 | + | 16.8049i | 1.23768 | + | 0.542941i | ||||
\(959\) | 23.3631 | − | 29.5096i | 0.754435 | − | 0.952915i | ||||
\(960\) | 16.6999 | + | 39.8419i | 0.538989 | + | 1.28589i | ||||
\(961\) | 21.8913 | + | 18.3690i | 0.706172 | + | 0.592549i | ||||
\(962\) | 10.5273 | + | 21.2873i | 0.339415 | + | 0.686332i | ||||
\(963\) | 30.8198 | + | 37.1040i | 0.993154 | + | 1.19566i | ||||
\(964\) | −10.3529 | + | 13.5548i | −0.333444 | + | 0.436569i | ||||
\(965\) | 55.8552 | + | 9.84879i | 1.79804 | + | 0.317044i | ||||
\(966\) | −45.2027 | + | 2.21238i | −1.45437 | + | 0.0711820i | ||||
\(967\) | −17.5659 | + | 48.2620i | −0.564882 | + | 1.55200i | 0.247508 | + | 0.968886i | \(0.420389\pi\) |
−0.812390 | + | 0.583115i | \(0.801834\pi\) | |||||||
\(968\) | 45.2005 | − | 24.9953i | 1.45280 | − | 0.803380i | ||||
\(969\) | −8.46452 | + | 0.719279i | −0.271920 | + | 0.0231066i | ||||
\(970\) | 29.0658 | − | 30.4305i | 0.933247 | − | 0.977066i | ||||
\(971\) | 8.12920 | + | 14.0802i | 0.260878 | + | 0.451854i | 0.966476 | − | 0.256759i | \(-0.0826545\pi\) |
−0.705597 | + | 0.708613i | \(0.749321\pi\) | |||||||
\(972\) | −17.0196 | + | 26.1215i | −0.545905 | + | 0.837847i | ||||
\(973\) | 5.30260 | + | 5.96598i | 0.169994 | + | 0.191261i | ||||
\(974\) | 34.2923 | + | 8.35067i | 1.09880 | + | 0.267573i | ||||
\(975\) | 10.8164 | − | 23.0457i | 0.346404 | − | 0.738053i | ||||
\(976\) | −0.304806 | + | 3.67297i | −0.00975661 | + | 0.117569i | ||||
\(977\) | −7.30101 | − | 8.70101i | −0.233580 | − | 0.278370i | 0.636504 | − | 0.771274i | \(-0.280380\pi\) |
−0.870084 | + | 0.492904i | \(0.835936\pi\) | |||||||
\(978\) | 21.8934 | − | 27.2018i | 0.700074 | − | 0.869818i | ||||
\(979\) | −78.6113 | − | 13.8613i | −2.51243 | − | 0.443009i | ||||
\(980\) | 11.9503 | + | 41.9802i | 0.381740 | + | 1.34101i | ||||
\(981\) | 3.83111 | − | 10.3647i | 0.122318 | − | 0.330920i | ||||
\(982\) | 7.46946 | + | 0.481192i | 0.238360 | + | 0.0153555i | ||||
\(983\) | −9.48731 | + | 53.8052i | −0.302598 | + | 1.71612i | 0.332001 | + | 0.943279i | \(0.392276\pi\) |
−0.634600 | + | 0.772841i | \(0.718835\pi\) | |||||||
\(984\) | 43.4907 | − | 2.88801i | 1.38643 | − | 0.0920664i | ||||
\(985\) | −16.6874 | − | 6.07371i | −0.531704 | − | 0.193525i | ||||
\(986\) | 1.10283 | + | 0.483788i | 0.0351214 | + | 0.0154070i | ||||
\(987\) | 47.2497 | + | 31.2881i | 1.50397 | + | 0.995912i | ||||
\(988\) | −40.7208 | − | 12.7392i | −1.29550 | − | 0.405289i | ||||
\(989\) | 3.73348 | + | 2.15553i | 0.118718 | + | 0.0685417i | ||||
\(990\) | −31.3979 | − | 64.2949i | −0.997890 | − | 2.04343i | ||||
\(991\) | −40.4408 | + | 23.3485i | −1.28464 | + | 0.741689i | −0.977694 | − | 0.210037i | \(-0.932642\pi\) |
−0.306950 | + | 0.951726i | \(0.599308\pi\) | |||||||
\(992\) | 7.74333 | + | 4.19202i | 0.245851 | + | 0.133097i | ||||
\(993\) | 3.54030 | + | 7.64191i | 0.112348 | + | 0.242509i | ||||
\(994\) | −1.51748 | + | 7.10557i | −0.0481314 | + | 0.225375i | ||||
\(995\) | −10.1333 | − | 57.4690i | −0.321249 | − | 1.82189i | ||||
\(996\) | −6.74247 | − | 0.296135i | −0.213643 | − | 0.00938341i | ||||
\(997\) | −24.1009 | + | 8.77202i | −0.763284 | + | 0.277813i | −0.694185 | − | 0.719797i | \(-0.744235\pi\) |
−0.0690996 | + | 0.997610i | \(0.522013\pi\) | |||||||
\(998\) | −1.81907 | + | 28.2371i | −0.0575816 | + | 0.893829i | ||||
\(999\) | 7.45486 | − | 27.0117i | 0.235861 | − | 0.854613i |
(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 | 756.2.bs.a.11.12 | ✓ | 840 | |
4.3 | odd | 2 | inner | 756.2.bs.a.11.28 | yes | 840 | |
7.2 | even | 3 | 756.2.ci.a.443.105 | yes | 840 | ||
27.5 | odd | 18 | 756.2.ci.a.599.65 | yes | 840 | ||
28.23 | odd | 6 | 756.2.ci.a.443.65 | yes | 840 | ||
108.59 | even | 18 | 756.2.ci.a.599.105 | yes | 840 | ||
189.86 | odd | 18 | inner | 756.2.bs.a.275.28 | yes | 840 | |
756.275 | even | 18 | inner | 756.2.bs.a.275.12 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.11.12 | ✓ | 840 | 1.1 | even | 1 | trivial | |
756.2.bs.a.11.28 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.bs.a.275.12 | yes | 840 | 756.275 | even | 18 | inner | |
756.2.bs.a.275.28 | yes | 840 | 189.86 | odd | 18 | inner | |
756.2.ci.a.443.65 | yes | 840 | 28.23 | odd | 6 | ||
756.2.ci.a.443.105 | yes | 840 | 7.2 | even | 3 | ||
756.2.ci.a.599.65 | yes | 840 | 27.5 | odd | 18 | ||
756.2.ci.a.599.105 | yes | 840 | 108.59 | even | 18 |