Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.52 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.52 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.969985 | − | 2.47148i | 0.685883 | − | 1.74760i | 0.0220091 | − | 0.999758i | \(-0.492994\pi\) |
0.663874 | − | 0.747844i | \(-0.268911\pi\) | |||||||
\(3\) | −1.62598 | + | 0.596818i | −0.938759 | + | 0.344573i | ||||
\(4\) | −3.70125 | − | 3.43426i | −1.85063 | − | 1.71713i | ||||
\(5\) | −2.70476 | + | 1.30254i | −1.20961 | + | 0.582516i | −0.926399 | − | 0.376543i | \(-0.877113\pi\) |
−0.283207 | + | 0.959059i | \(0.591398\pi\) | |||||||
\(6\) | −0.102150 | + | 4.59748i | −0.0417024 | + | 1.87691i | ||||
\(7\) | 2.23130 | + | 1.42172i | 0.843352 | + | 0.537361i | ||||
\(8\) | −7.29370 | + | 3.51246i | −2.57871 | + | 1.24184i | ||||
\(9\) | 2.28762 | − | 1.94083i | 0.762538 | − | 0.646943i | ||||
\(10\) | 0.595637 | + | 7.94822i | 0.188357 | + | 2.51345i | ||||
\(11\) | 0.141496 | + | 0.177430i | 0.0426626 | + | 0.0534972i | 0.802705 | − | 0.596376i | \(-0.203393\pi\) |
−0.760042 | + | 0.649873i | \(0.774822\pi\) | |||||||
\(12\) | 8.06778 | + | 3.37506i | 2.32897 | + | 0.974295i | ||||
\(13\) | −1.85705 | + | 4.73168i | −0.515052 | + | 1.31233i | 0.402756 | + | 0.915307i | \(0.368052\pi\) |
−0.917808 | + | 0.397024i | \(0.870043\pi\) | |||||||
\(14\) | 5.67809 | − | 4.13557i | 1.51753 | − | 1.10528i | ||||
\(15\) | 3.62050 | − | 3.73216i | 0.934810 | − | 0.963640i | ||||
\(16\) | 0.851564 | + | 11.3633i | 0.212891 | + | 2.84083i | ||||
\(17\) | −3.43055 | + | 3.18309i | −0.832032 | + | 0.772013i | −0.976046 | − | 0.217563i | \(-0.930189\pi\) |
0.144015 | + | 0.989576i | \(0.453999\pi\) | |||||||
\(18\) | −2.57777 | − | 7.53638i | −0.607586 | − | 1.77634i | ||||
\(19\) | 2.97385 | − | 5.15086i | 0.682248 | − | 1.18169i | −0.292046 | − | 0.956404i | \(-0.594336\pi\) |
0.974293 | − | 0.225283i | \(-0.0723308\pi\) | |||||||
\(20\) | 14.4843 | + | 4.46781i | 3.23878 | + | 0.999032i | ||||
\(21\) | −4.47656 | − | 0.980012i | −0.976865 | − | 0.213856i | ||||
\(22\) | 0.575764 | − | 0.177600i | 0.122753 | − | 0.0378644i | ||||
\(23\) | −1.24461 | + | 5.45301i | −0.259520 | + | 1.13703i | 0.662247 | + | 0.749286i | \(0.269603\pi\) |
−0.921767 | + | 0.387745i | \(0.873254\pi\) | |||||||
\(24\) | 9.76310 | − | 10.0642i | 1.99288 | − | 2.05435i | ||||
\(25\) | 2.50167 | − | 3.13699i | 0.500333 | − | 0.627398i | ||||
\(26\) | 9.89295 | + | 9.17931i | 1.94017 | + | 1.80021i | ||||
\(27\) | −2.56129 | + | 4.52104i | −0.492921 | + | 0.870074i | ||||
\(28\) | −3.37603 | − | 12.9250i | −0.638011 | − | 2.44260i | ||||
\(29\) | −0.773284 | − | 0.238526i | −0.143595 | − | 0.0442932i | 0.222124 | − | 0.975018i | \(-0.428701\pi\) |
−0.365720 | + | 0.930725i | \(0.619177\pi\) | |||||||
\(30\) | −5.71214 | − | 12.5682i | −1.04289 | − | 2.29462i | ||||
\(31\) | 0.361489 | − | 0.626117i | 0.0649253 | − | 0.112454i | −0.831736 | − | 0.555172i | \(-0.812652\pi\) |
0.896661 | + | 0.442718i | \(0.145986\pi\) | |||||||
\(32\) | 13.4388 | + | 4.14532i | 2.37567 | + | 0.732796i | ||||
\(33\) | −0.335963 | − | 0.204050i | −0.0584836 | − | 0.0355206i | ||||
\(34\) | 4.53936 | + | 11.5661i | 0.778494 | + | 1.98357i | ||||
\(35\) | −7.88700 | − | 0.939056i | −1.33315 | − | 0.158729i | ||||
\(36\) | −15.1323 | − | 0.672771i | −2.52206 | − | 0.112128i | ||||
\(37\) | 1.12677 | + | 0.347564i | 0.185240 | + | 0.0571391i | 0.385988 | − | 0.922504i | \(-0.373861\pi\) |
−0.200747 | + | 0.979643i | \(0.564337\pi\) | |||||||
\(38\) | −9.84566 | − | 12.3461i | −1.59718 | − | 2.00280i | ||||
\(39\) | 0.195566 | − | 8.80193i | 0.0313157 | − | 1.40944i | ||||
\(40\) | 15.1526 | − | 19.0007i | 2.39583 | − | 3.00428i | ||||
\(41\) | 1.34357 | + | 0.916030i | 0.209830 | + | 0.143060i | 0.663675 | − | 0.748021i | \(-0.268996\pi\) |
−0.453845 | + | 0.891081i | \(0.649948\pi\) | |||||||
\(42\) | −6.76428 | + | 10.1131i | −1.04375 | + | 1.56049i | ||||
\(43\) | −6.33403 | + | 4.31847i | −0.965931 | + | 0.658561i | −0.940026 | − | 0.341104i | \(-0.889199\pi\) |
−0.0259054 | + | 0.999664i | \(0.508247\pi\) | |||||||
\(44\) | 0.0856295 | − | 1.14265i | 0.0129091 | − | 0.172260i | ||||
\(45\) | −3.65944 | + | 8.22920i | −0.545517 | + | 1.22674i | ||||
\(46\) | 12.2698 | + | 8.36538i | 1.80908 | + | 1.23341i | ||||
\(47\) | −2.96124 | + | 7.54512i | −0.431942 | + | 1.10057i | 0.534837 | + | 0.844955i | \(0.320373\pi\) |
−0.966779 | + | 0.255614i | \(0.917722\pi\) | |||||||
\(48\) | −8.16647 | − | 17.9683i | −1.17873 | − | 2.59350i | ||||
\(49\) | 2.95740 | + | 6.34459i | 0.422486 | + | 0.906369i | ||||
\(50\) | −5.32644 | − | 9.22566i | −0.753272 | − | 1.30471i | ||||
\(51\) | 3.67828 | − | 7.22305i | 0.515063 | − | 1.01143i | ||||
\(52\) | 23.1232 | − | 11.1355i | 3.20661 | − | 1.54422i | ||||
\(53\) | −6.19812 | + | 1.91187i | −0.851377 | + | 0.262615i | −0.689581 | − | 0.724209i | \(-0.742205\pi\) |
−0.161797 | + | 0.986824i | \(0.551729\pi\) | |||||||
\(54\) | 8.68925 | + | 10.7155i | 1.18246 | + | 1.45820i | ||||
\(55\) | −0.613823 | − | 0.295602i | −0.0827679 | − | 0.0398589i | ||||
\(56\) | −21.2682 | − | 2.53227i | −2.84208 | − | 0.338389i | ||||
\(57\) | −1.76129 | + | 10.1500i | −0.233288 | + | 1.34440i | ||||
\(58\) | −1.33959 | + | 1.67979i | −0.175896 | + | 0.220567i | ||||
\(59\) | −11.0603 | + | 7.54075i | −1.43992 | + | 0.981722i | −0.443583 | + | 0.896233i | \(0.646293\pi\) |
−0.996339 | + | 0.0854890i | \(0.972755\pi\) | |||||||
\(60\) | −26.2176 | + | 1.37992i | −3.38468 | + | 0.178147i | ||||
\(61\) | 0.404438 | − | 0.375263i | 0.0517829 | − | 0.0480476i | −0.653857 | − | 0.756618i | \(-0.726850\pi\) |
0.705640 | + | 0.708571i | \(0.250660\pi\) | |||||||
\(62\) | −1.19680 | − | 1.50074i | −0.151993 | − | 0.190594i | ||||
\(63\) | 7.86368 | − | 1.07821i | 0.990730 | − | 0.135842i | ||||
\(64\) | 9.07094 | − | 11.3746i | 1.13387 | − | 1.42183i | ||||
\(65\) | −1.14035 | − | 15.2169i | −0.141443 | − | 1.88743i | ||||
\(66\) | −0.830186 | + | 0.632400i | −0.102189 | + | 0.0778431i | ||||
\(67\) | −1.24920 | + | 2.16368i | −0.152614 | + | 0.264335i | −0.932188 | − | 0.361975i | \(-0.882103\pi\) |
0.779574 | + | 0.626311i | \(0.215436\pi\) | |||||||
\(68\) | 23.6289 | 2.86542 | ||||||||
\(69\) | −1.23074 | − | 9.60929i | −0.148164 | − | 1.15682i | ||||
\(70\) | −9.97113 | + | 18.5817i | −1.19178 | + | 2.22094i | ||||
\(71\) | 2.70683 | − | 11.8594i | 0.321242 | − | 1.40745i | −0.514104 | − | 0.857728i | \(-0.671876\pi\) |
0.835346 | − | 0.549724i | \(-0.185267\pi\) | |||||||
\(72\) | −9.86810 | + | 22.1910i | −1.16297 | + | 2.61523i | ||||
\(73\) | −9.33666 | − | 1.40727i | −1.09277 | − | 0.164709i | −0.422164 | − | 0.906520i | \(-0.638729\pi\) |
−0.670609 | + | 0.741811i | \(0.733967\pi\) | |||||||
\(74\) | 1.95195 | − | 2.44767i | 0.226910 | − | 0.284536i | ||||
\(75\) | −2.19544 | + | 6.59372i | −0.253508 | + | 0.761378i | ||||
\(76\) | −28.6963 | + | 8.85165i | −3.29170 | + | 1.01535i | ||||
\(77\) | 0.0634630 | + | 0.597068i | 0.00723228 | + | 0.0680422i | ||||
\(78\) | −21.5641 | − | 9.02108i | −2.44165 | − | 1.02144i | ||||
\(79\) | 6.26322 | + | 10.8482i | 0.704667 | + | 1.22052i | 0.966811 | + | 0.255491i | \(0.0822371\pi\) |
−0.262144 | + | 0.965029i | \(0.584430\pi\) | |||||||
\(80\) | −17.1045 | − | 29.6259i | −1.91234 | − | 3.31228i | ||||
\(81\) | 1.46637 | − | 8.87974i | 0.162930 | − | 0.986638i | ||||
\(82\) | 3.56720 | − | 2.43207i | 0.393931 | − | 0.268577i | ||||
\(83\) | −3.79409 | − | 9.66720i | −0.416456 | − | 1.06111i | −0.973104 | − | 0.230364i | \(-0.926008\pi\) |
0.556648 | − | 0.830748i | \(-0.312087\pi\) | |||||||
\(84\) | 13.2033 | + | 19.0009i | 1.44059 | + | 2.07317i | ||||
\(85\) | 5.13272 | − | 13.0780i | 0.556721 | − | 1.41850i | ||||
\(86\) | 4.52911 | + | 19.8433i | 0.488386 | + | 2.13976i | ||||
\(87\) | 1.39970 | − | 0.0736710i | 0.150064 | − | 0.00789836i | ||||
\(88\) | −1.65524 | − | 0.797123i | −0.176450 | − | 0.0849736i | ||||
\(89\) | −1.29775 | − | 3.30661i | −0.137561 | − | 0.350500i | 0.845448 | − | 0.534058i | \(-0.179334\pi\) |
−0.983009 | + | 0.183558i | \(0.941238\pi\) | |||||||
\(90\) | 16.7887 | + | 17.0264i | 1.76969 | + | 1.79475i | ||||
\(91\) | −10.8708 | + | 7.91759i | −1.13957 | + | 0.829988i | ||||
\(92\) | 23.3337 | − | 15.9086i | 2.43270 | − | 1.65859i | ||||
\(93\) | −0.214095 | + | 1.23380i | −0.0222006 | + | 0.127939i | ||||
\(94\) | 15.7753 | + | 14.6373i | 1.62710 | + | 1.50972i | ||||
\(95\) | −1.33433 | + | 17.8054i | −0.136900 | + | 1.82680i | ||||
\(96\) | −24.3252 | + | 1.28032i | −2.48268 | + | 0.130672i | ||||
\(97\) | 7.78265 | − | 13.4799i | 0.790208 | − | 1.36868i | −0.135630 | − | 0.990760i | \(-0.543306\pi\) |
0.925838 | − | 0.377921i | \(-0.123361\pi\) | |||||||
\(98\) | 18.5492 | − | 1.15501i | 1.87375 | − | 0.116674i | ||||
\(99\) | 0.668049 | + | 0.131273i | 0.0671415 | + | 0.0131934i | ||||
\(100\) | −20.0325 | + | 3.01942i | −2.00325 | + | 0.301942i | ||||
\(101\) | 10.7974 | − | 5.19974i | 1.07438 | − | 0.517393i | 0.188863 | − | 0.982003i | \(-0.439520\pi\) |
0.885515 | + | 0.464610i | \(0.153805\pi\) | |||||||
\(102\) | −14.2838 | − | 16.0971i | −1.41430 | − | 1.59385i | ||||
\(103\) | 10.0032 | − | 4.81731i | 0.985649 | − | 0.474664i | 0.129605 | − | 0.991566i | \(-0.458629\pi\) |
0.856044 | + | 0.516902i | \(0.172915\pi\) | |||||||
\(104\) | −3.07509 | − | 41.0342i | −0.301537 | − | 4.02374i | ||||
\(105\) | 13.3845 | − | 3.18022i | 1.30620 | − | 0.310358i | ||||
\(106\) | −1.28694 | + | 17.1730i | −0.124999 | + | 1.66799i | ||||
\(107\) | 2.20032 | + | 5.60632i | 0.212713 | + | 0.541984i | 0.996912 | − | 0.0785256i | \(-0.0250212\pi\) |
−0.784199 | + | 0.620509i | \(0.786926\pi\) | |||||||
\(108\) | 25.0064 | − | 7.93735i | 2.40624 | − | 0.763772i | ||||
\(109\) | 1.29165 | − | 3.29108i | 0.123718 | − | 0.315228i | −0.855574 | − | 0.517680i | \(-0.826796\pi\) |
0.979292 | + | 0.202452i | \(0.0648910\pi\) | |||||||
\(110\) | −1.32597 | + | 1.23032i | −0.126427 | + | 0.117307i | ||||
\(111\) | −2.03954 | + | 0.107348i | −0.193585 | + | 0.0101890i | ||||
\(112\) | −14.2554 | + | 26.5657i | −1.34701 | + | 2.51022i | ||||
\(113\) | 4.98653 | + | 0.751598i | 0.469093 | + | 0.0707044i | 0.379336 | − | 0.925259i | \(-0.376153\pi\) |
0.0897578 | + | 0.995964i | \(0.471391\pi\) | |||||||
\(114\) | 23.3772 | + | 14.1984i | 2.18948 | + | 1.32980i | ||||
\(115\) | −3.73640 | − | 16.3703i | −0.348422 | − | 1.52653i | ||||
\(116\) | 2.04296 | + | 3.53850i | 0.189684 | + | 0.328542i | ||||
\(117\) | 4.93517 | + | 14.4285i | 0.456256 | + | 1.33391i | ||||
\(118\) | 7.90855 | + | 34.6496i | 0.728041 | + | 3.18976i | ||||
\(119\) | −12.1801 | + | 2.22513i | −1.11655 | + | 0.203977i | ||||
\(120\) | −13.2978 | + | 39.9382i | −1.21392 | + | 3.64584i | ||||
\(121\) | 2.43627 | − | 10.6740i | 0.221479 | − | 0.970363i | ||||
\(122\) | −0.535158 | − | 1.36356i | −0.0484509 | − | 0.123451i | ||||
\(123\) | −2.73132 | − | 0.687579i | −0.246275 | − | 0.0619969i | ||||
\(124\) | −3.48821 | + | 1.07597i | −0.313250 | + | 0.0966249i | ||||
\(125\) | 0.659763 | − | 2.89061i | 0.0590110 | − | 0.258544i | ||||
\(126\) | 4.96287 | − | 20.4808i | 0.442127 | − | 1.82457i | ||||
\(127\) | −0.877499 | − | 3.84457i | −0.0778654 | − | 0.341151i | 0.920957 | − | 0.389664i | \(-0.127409\pi\) |
−0.998823 | + | 0.0485132i | \(0.984552\pi\) | |||||||
\(128\) | −5.24985 | − | 9.09301i | −0.464026 | − | 0.803716i | ||||
\(129\) | 7.72166 | − | 10.8020i | 0.679854 | − | 0.951064i | ||||
\(130\) | −38.7145 | − | 11.9419i | −3.39549 | − | 1.04737i | ||||
\(131\) | −13.5591 | − | 6.52973i | −1.18467 | − | 0.570505i | −0.265399 | − | 0.964139i | \(-0.585504\pi\) |
−0.919268 | + | 0.393633i | \(0.871218\pi\) | |||||||
\(132\) | 0.542721 | + | 1.90902i | 0.0472378 | + | 0.166159i | ||||
\(133\) | 13.9586 | − | 7.26512i | 1.21037 | − | 0.629966i | ||||
\(134\) | 4.13579 | + | 5.18611i | 0.357278 | + | 0.448012i | ||||
\(135\) | 1.03883 | − | 15.5645i | 0.0894085 | − | 1.33958i | ||||
\(136\) | 13.8410 | − | 35.2662i | 1.18685 | − | 3.02405i | ||||
\(137\) | 2.24105 | + | 1.07924i | 0.191466 | + | 0.0922053i | 0.527161 | − | 0.849766i | \(-0.323257\pi\) |
−0.335694 | + | 0.941971i | \(0.608971\pi\) | |||||||
\(138\) | −24.9430 | − | 6.27911i | −2.12329 | − | 0.534514i | ||||
\(139\) | 10.9160 | + | 7.44243i | 0.925886 | + | 0.631258i | 0.929535 | − | 0.368735i | \(-0.120209\pi\) |
−0.00364859 | + | 0.999993i | \(0.501161\pi\) | |||||||
\(140\) | 25.9668 | + | 30.5617i | 2.19459 | + | 2.58293i | ||||
\(141\) | 0.311850 | − | 14.0355i | 0.0262625 | − | 1.18201i | ||||
\(142\) | −26.6847 | − | 18.1933i | −2.23933 | − | 1.52675i | ||||
\(143\) | −1.10231 | + | 0.340016i | −0.0921795 | + | 0.0284336i | ||||
\(144\) | 24.0023 | + | 24.3422i | 2.00019 | + | 2.02852i | ||||
\(145\) | 2.40224 | − | 0.362079i | 0.199495 | − | 0.0300691i | ||||
\(146\) | −12.5345 | + | 21.7104i | −1.03736 | + | 1.79676i | ||||
\(147\) | −8.59524 | − | 8.55113i | −0.708924 | − | 0.705285i | ||||
\(148\) | −2.97685 | − | 5.15605i | −0.244695 | − | 0.423825i | ||||
\(149\) | −2.70745 | − | 3.39504i | −0.221803 | − | 0.278132i | 0.658462 | − | 0.752614i | \(-0.271207\pi\) |
−0.880266 | + | 0.474481i | \(0.842636\pi\) | |||||||
\(150\) | 14.1667 | + | 11.8218i | 1.15671 | + | 0.965247i | ||||
\(151\) | −4.63441 | + | 20.3047i | −0.377143 | + | 1.65237i | 0.329022 | + | 0.944322i | \(0.393281\pi\) |
−0.706165 | + | 0.708047i | \(0.749576\pi\) | |||||||
\(152\) | −3.59818 | + | 48.0143i | −0.291851 | + | 3.89448i | ||||
\(153\) | −1.66996 | + | 13.9398i | −0.135008 | + | 1.12697i | ||||
\(154\) | 1.53720 | + | 0.422299i | 0.123871 | + | 0.0340298i | ||||
\(155\) | −0.162196 | + | 2.16435i | −0.0130279 | + | 0.173845i | ||||
\(156\) | −30.9519 | + | 31.9065i | −2.47814 | + | 2.55457i | ||||
\(157\) | −13.0925 | + | 8.92632i | −1.04490 | + | 0.712398i | −0.958856 | − | 0.283894i | \(-0.908374\pi\) |
−0.0860402 | + | 0.996292i | \(0.527421\pi\) | |||||||
\(158\) | 32.8864 | − | 4.95683i | 2.61630 | − | 0.394344i | ||||
\(159\) | 8.93697 | − | 6.80781i | 0.708748 | − | 0.539894i | ||||
\(160\) | −41.7482 | + | 6.29253i | −3.30049 | + | 0.497468i | ||||
\(161\) | −10.5298 | + | 10.3978i | −0.829863 | + | 0.819462i | ||||
\(162\) | −20.5238 | − | 12.2373i | −1.61250 | − | 0.961455i | ||||
\(163\) | −15.7784 | + | 10.7575i | −1.23586 | + | 0.842596i | −0.991879 | − | 0.127183i | \(-0.959406\pi\) |
−0.243983 | + | 0.969780i | \(0.578454\pi\) | |||||||
\(164\) | −1.82700 | − | 8.00462i | −0.142665 | − | 0.625056i | ||||
\(165\) | 1.17448 | + | 0.114301i | 0.0914334 | + | 0.00889833i | ||||
\(166\) | −27.5725 | −2.14004 | ||||||||
\(167\) | 4.12481 | − | 3.82726i | 0.319187 | − | 0.296162i | −0.504264 | − | 0.863550i | \(-0.668236\pi\) |
0.823451 | + | 0.567387i | \(0.192046\pi\) | |||||||
\(168\) | 36.0929 | − | 8.57582i | 2.78463 | − | 0.661639i | ||||
\(169\) | −9.41047 | − | 8.73164i | −0.723882 | − | 0.671665i | ||||
\(170\) | −27.3433 | − | 25.3708i | −2.09713 | − | 1.94585i | ||||
\(171\) | −3.19391 | − | 17.5549i | −0.244244 | − | 1.34246i | ||||
\(172\) | 38.2746 | + | 5.76897i | 2.91841 | + | 0.439880i | ||||
\(173\) | −2.21686 | + | 0.683811i | −0.168545 | + | 0.0519892i | −0.377879 | − | 0.925855i | \(-0.623346\pi\) |
0.209334 | + | 0.977844i | \(0.432870\pi\) | |||||||
\(174\) | 1.17561 | − | 3.53079i | 0.0891229 | − | 0.267669i | ||||
\(175\) | 10.0419 | − | 3.44289i | 0.759097 | − | 0.260258i | ||||
\(176\) | −1.89570 | + | 1.75896i | −0.142894 | + | 0.132586i | ||||
\(177\) | 13.4833 | − | 18.8621i | 1.01347 | − | 1.41776i | ||||
\(178\) | −9.43104 | −0.706886 | ||||||||
\(179\) | −12.0835 | + | 11.2119i | −0.903165 | + | 0.838014i | −0.987370 | − | 0.158434i | \(-0.949355\pi\) |
0.0842049 | + | 0.996448i | \(0.473165\pi\) | |||||||
\(180\) | 41.8057 | − | 17.8909i | 3.11601 | − | 1.33351i | ||||
\(181\) | −8.82695 | + | 11.0686i | −0.656102 | + | 0.822726i | −0.992913 | − | 0.118846i | \(-0.962080\pi\) |
0.336811 | + | 0.941572i | \(0.390652\pi\) | |||||||
\(182\) | 9.02369 | + | 34.5468i | 0.668880 | + | 2.56078i | ||||
\(183\) | −0.433643 | + | 0.851546i | −0.0320558 | + | 0.0629481i | ||||
\(184\) | −10.0756 | − | 44.1443i | −0.742786 | − | 3.25436i | ||||
\(185\) | −3.50037 | + | 0.527596i | −0.257352 | + | 0.0387896i | ||||
\(186\) | 2.84164 | + | 1.72590i | 0.208359 | + | 0.126549i | ||||
\(187\) | −1.05018 | − | 0.158290i | −0.0767971 | − | 0.0115753i | ||||
\(188\) | 36.8722 | − | 17.7567i | 2.68918 | − | 1.29504i | ||||
\(189\) | −12.1427 | + | 6.44634i | −0.883250 | + | 0.468902i | ||||
\(190\) | 42.7115 | + | 20.5688i | 3.09862 | + | 1.49222i | ||||
\(191\) | 10.6638 | + | 7.27047i | 0.771607 | + | 0.526073i | 0.883941 | − | 0.467598i | \(-0.154880\pi\) |
−0.112334 | + | 0.993670i | \(0.535833\pi\) | |||||||
\(192\) | −7.96059 | + | 23.9086i | −0.574506 | + | 1.72545i | ||||
\(193\) | 0.829017 | − | 11.0625i | 0.0596740 | − | 0.796294i | −0.884436 | − | 0.466662i | \(-0.845456\pi\) |
0.944110 | − | 0.329632i | \(-0.106925\pi\) | |||||||
\(194\) | −25.7664 | − | 32.3100i | −1.84992 | − | 2.31972i | ||||
\(195\) | 10.9359 | + | 24.0619i | 0.783139 | + | 1.72311i | ||||
\(196\) | 10.8429 | − | 33.6394i | 0.774490 | − | 2.40281i | ||||
\(197\) | 15.7111 | 1.11937 | 0.559683 | − | 0.828707i | \(-0.310923\pi\) | ||||
0.559683 | + | 0.828707i | \(0.310923\pi\) | |||||||
\(198\) | 0.972436 | − | 1.52374i | 0.0691080 | − | 0.108287i | ||||
\(199\) | 5.41647 | + | 3.69289i | 0.383964 | + | 0.261782i | 0.739884 | − | 0.672734i | \(-0.234880\pi\) |
−0.355921 | + | 0.934516i | \(0.615833\pi\) | |||||||
\(200\) | −7.22785 | + | 31.6673i | −0.511086 | + | 2.23921i | ||||
\(201\) | 0.739851 | − | 4.26364i | 0.0521850 | − | 0.300734i | ||||
\(202\) | −2.37777 | − | 31.7292i | −0.167300 | − | 2.23246i | ||||
\(203\) | −1.38631 | − | 1.63162i | −0.0972998 | − | 0.114517i | ||||
\(204\) | −38.4201 | + | 14.1022i | −2.68994 | + | 0.987349i | ||||
\(205\) | −4.82721 | − | 0.727584i | −0.337147 | − | 0.0508167i | ||||
\(206\) | −2.20289 | − | 29.3956i | −0.153483 | − | 2.04809i | ||||
\(207\) | 7.73616 | + | 14.8900i | 0.537700 | + | 1.03492i | ||||
\(208\) | −55.3490 | − | 17.0729i | −3.83776 | − | 1.18379i | ||||
\(209\) | 1.33470 | − | 0.201174i | 0.0923234 | − | 0.0139155i | ||||
\(210\) | 5.12295 | − | 36.1644i | 0.353517 | − | 2.49558i | ||||
\(211\) | 22.5329 | + | 3.39629i | 1.55123 | + | 0.233810i | 0.868063 | − | 0.496454i | \(-0.165365\pi\) |
0.683165 | + | 0.730264i | \(0.260603\pi\) | |||||||
\(212\) | 29.5066 | + | 14.2096i | 2.02652 | + | 0.975923i | ||||
\(213\) | 2.67666 | + | 20.8986i | 0.183402 | + | 1.43195i | ||||
\(214\) | 15.9902 | 1.09307 | ||||||||
\(215\) | 11.5071 | − | 19.9308i | 0.784774 | − | 1.35927i | ||||
\(216\) | 2.80133 | − | 41.9715i | 0.190607 | − | 2.85580i | ||||
\(217\) | 1.69675 | − | 0.883117i | 0.115183 | − | 0.0599499i | ||||
\(218\) | −6.88096 | − | 6.38460i | −0.466038 | − | 0.432420i | ||||
\(219\) | 16.0211 | − | 3.28409i | 1.08261 | − | 0.221918i | ||||
\(220\) | 1.25674 | + | 3.20212i | 0.0847294 | + | 0.215887i | ||||
\(221\) | −8.69065 | − | 22.1434i | −0.584596 | − | 1.48953i | ||||
\(222\) | −1.71302 | + | 5.14482i | −0.114970 | + | 0.345298i | ||||
\(223\) | 6.50327 | + | 6.03416i | 0.435491 | + | 0.404077i | 0.867219 | − | 0.497927i | \(-0.165905\pi\) |
−0.431727 | + | 0.902004i | \(0.642096\pi\) | |||||||
\(224\) | 24.0925 | + | 28.3557i | 1.60975 | + | 1.89460i | ||||
\(225\) | −0.365510 | − | 12.0315i | −0.0243673 | − | 0.802102i | ||||
\(226\) | 6.69442 | − | 11.5951i | 0.445306 | − | 0.771293i | ||||
\(227\) | −17.0510 | −1.13171 | −0.565856 | − | 0.824504i | \(-0.691454\pi\) | ||||
−0.565856 | + | 0.824504i | \(0.691454\pi\) | |||||||
\(228\) | 41.3768 | − | 31.5191i | 2.74025 | − | 2.08740i | ||||
\(229\) | −7.17176 | − | 3.45374i | −0.473923 | − | 0.228229i | 0.181647 | − | 0.983364i | \(-0.441857\pi\) |
−0.655570 | + | 0.755134i | \(0.727572\pi\) | |||||||
\(230\) | −44.0831 | − | 6.64445i | −2.90675 | − | 0.438122i | ||||
\(231\) | −0.459530 | − | 0.932944i | −0.0302349 | − | 0.0613832i | ||||
\(232\) | 6.47791 | − | 0.976388i | 0.425296 | − | 0.0641030i | ||||
\(233\) | 20.3584 | + | 6.27972i | 1.33372 | + | 0.411398i | 0.877973 | − | 0.478711i | \(-0.158896\pi\) |
0.455748 | + | 0.890109i | \(0.349372\pi\) | |||||||
\(234\) | 40.4467 | + | 1.79823i | 2.64409 | + | 0.117554i | ||||
\(235\) | −1.81840 | − | 24.2649i | −0.118620 | − | 1.58287i | ||||
\(236\) | 66.8337 | + | 10.0736i | 4.35050 | + | 0.655732i | ||||
\(237\) | −16.6583 | − | 13.9010i | −1.08207 | − | 0.902965i | ||||
\(238\) | −6.31513 | + | 32.2612i | −0.409349 | + | 2.09118i | ||||
\(239\) | −0.981478 | − | 13.0969i | −0.0634865 | − | 0.847169i | −0.934512 | − | 0.355931i | \(-0.884164\pi\) |
0.871026 | − | 0.491238i | \(-0.163455\pi\) | |||||||
\(240\) | 45.4929 | + | 37.9628i | 2.93655 | + | 2.45049i | ||||
\(241\) | −4.01130 | + | 17.5746i | −0.258390 | + | 1.13208i | 0.664582 | + | 0.747216i | \(0.268610\pi\) |
−0.922972 | + | 0.384867i | \(0.874247\pi\) | |||||||
\(242\) | −24.0174 | − | 16.3748i | −1.54390 | − | 1.05261i | ||||
\(243\) | 2.91531 | + | 15.3134i | 0.187017 | + | 0.982357i | ||||
\(244\) | −2.78568 | −0.178335 | ||||||||
\(245\) | −16.2632 | − | 13.3084i | −1.03902 | − | 0.850245i | ||||
\(246\) | −4.34868 | + | 6.08347i | −0.277262 | + | 0.387868i | ||||
\(247\) | 18.8496 | + | 23.6367i | 1.19937 | + | 1.50397i | ||||
\(248\) | −0.437379 | + | 5.83642i | −0.0277736 | + | 0.370613i | ||||
\(249\) | 11.9387 | + | 13.4543i | 0.756583 | + | 0.852630i | ||||
\(250\) | −6.50413 | − | 4.43444i | −0.411357 | − | 0.280459i | ||||
\(251\) | 15.1690 | + | 7.30500i | 0.957458 | + | 0.461088i | 0.846295 | − | 0.532714i | \(-0.178828\pi\) |
0.111163 | + | 0.993802i | \(0.464542\pi\) | |||||||
\(252\) | −32.8083 | − | 23.0152i | −2.06673 | − | 1.44982i | ||||
\(253\) | −1.14364 | + | 0.550746i | −0.0718997 | + | 0.0346251i | ||||
\(254\) | −10.3530 | − | 1.56046i | −0.649602 | − | 0.0979118i | ||||
\(255\) | −0.540529 | + | 24.3278i | −0.0338492 | + | 1.52346i | ||||
\(256\) | 1.20684 | − | 0.181902i | 0.0754274 | − | 0.0113688i | ||||
\(257\) | −0.0289381 | − | 0.126786i | −0.00180511 | − | 0.00790869i | 0.974017 | − | 0.226473i | \(-0.0727197\pi\) |
−0.975822 | + | 0.218565i | \(0.929863\pi\) | |||||||
\(258\) | −19.2071 | − | 29.5617i | −1.19578 | − | 1.84043i | ||||
\(259\) | 2.02003 | + | 2.37748i | 0.125519 | + | 0.147729i | ||||
\(260\) | −48.0382 | + | 60.2380i | −2.97920 | + | 3.73580i | ||||
\(261\) | −2.23191 | + | 0.955154i | −0.138152 | + | 0.0591226i | ||||
\(262\) | −29.2903 | + | 27.1774i | −1.80956 | + | 1.67903i | ||||
\(263\) | −2.06856 | −0.127553 | −0.0637763 | − | 0.997964i | \(-0.520314\pi\) | ||||
−0.0637763 | + | 0.997964i | \(0.520314\pi\) | |||||||
\(264\) | 3.16713 | + | 0.308226i | 0.194923 | + | 0.0189700i | ||||
\(265\) | 14.2741 | − | 13.2445i | 0.876854 | − | 0.813602i | ||||
\(266\) | −4.41593 | − | 41.5456i | −0.270758 | − | 2.54732i | ||||
\(267\) | 4.08356 | + | 4.60196i | 0.249910 | + | 0.281636i | ||||
\(268\) | 12.0542 | − | 3.71824i | 0.736330 | − | 0.227128i | ||||
\(269\) | 7.71601 | + | 1.16300i | 0.470454 | + | 0.0709095i | 0.379991 | − | 0.924990i | \(-0.375927\pi\) |
0.0904629 | + | 0.995900i | \(0.471165\pi\) | |||||||
\(270\) | −37.4598 | − | 17.6648i | −2.27973 | − | 1.07505i | ||||
\(271\) | −4.69520 | − | 4.35650i | −0.285213 | − | 0.264639i | 0.524572 | − | 0.851366i | \(-0.324226\pi\) |
−0.809784 | + | 0.586727i | \(0.800416\pi\) | |||||||
\(272\) | −39.0918 | − | 36.2719i | −2.37029 | − | 2.19931i | ||||
\(273\) | 12.9503 | − | 19.3617i | 0.783786 | − | 1.17182i | ||||
\(274\) | 4.84110 | − | 4.49189i | 0.292462 | − | 0.271365i | ||||
\(275\) | 0.910572 | 0.0549095 | ||||||||
\(276\) | −28.4455 | + | 39.7931i | −1.71222 | + | 2.39526i | ||||
\(277\) | −0.420094 | − | 1.84055i | −0.0252410 | − | 0.110588i | 0.960738 | − | 0.277457i | \(-0.0894915\pi\) |
−0.985979 | + | 0.166869i | \(0.946634\pi\) | |||||||
\(278\) | 28.9822 | − | 19.7597i | 1.73824 | − | 1.18511i | ||||
\(279\) | −0.388238 | − | 2.13390i | −0.0232432 | − | 0.127753i | ||||
\(280\) | 60.8238 | − | 20.8536i | 3.63492 | − | 1.24624i | ||||
\(281\) | −12.3827 | + | 1.86639i | −0.738690 | + | 0.111340i | −0.507600 | − | 0.861593i | \(-0.669467\pi\) |
−0.231090 | + | 0.972932i | \(0.574229\pi\) | |||||||
\(282\) | −34.3861 | − | 14.3850i | −2.04766 | − | 0.856614i | ||||
\(283\) | −10.9353 | + | 1.64823i | −0.650036 | + | 0.0979772i | −0.465779 | − | 0.884901i | \(-0.654226\pi\) |
−0.184257 | + | 0.982878i | \(0.558988\pi\) | |||||||
\(284\) | −50.7469 | + | 34.5987i | −3.01128 | + | 2.05305i | ||||
\(285\) | −8.45701 | − | 29.7476i | −0.500950 | − | 1.76210i | ||||
\(286\) | −0.228876 | + | 3.05414i | −0.0135337 | + | 0.180595i | ||||
\(287\) | 1.69557 | + | 3.95412i | 0.100086 | + | 0.233405i | ||||
\(288\) | 38.7881 | − | 16.5995i | 2.28561 | − | 0.978135i | ||||
\(289\) | 0.366234 | − | 4.88706i | 0.0215432 | − | 0.287474i | ||||
\(290\) | 1.43526 | − | 6.28831i | 0.0842816 | − | 0.369262i | ||||
\(291\) | −4.60934 | + | 26.5629i | −0.270205 | + | 1.55715i | ||||
\(292\) | 29.7244 | + | 37.2732i | 1.73949 | + | 2.18125i | ||||
\(293\) | 4.35516 | + | 7.54335i | 0.254431 | + | 0.440687i | 0.964741 | − | 0.263202i | \(-0.0847785\pi\) |
−0.710310 | + | 0.703889i | \(0.751445\pi\) | |||||||
\(294\) | −29.4712 | + | 12.9485i | −1.71880 | + | 0.755173i | ||||
\(295\) | 20.0932 | − | 34.8024i | 1.16987 | − | 2.02627i | ||||
\(296\) | −9.43915 | + | 1.42272i | −0.548639 | + | 0.0826941i | ||||
\(297\) | −1.16458 | + | 0.185257i | −0.0675758 | + | 0.0107497i | ||||
\(298\) | −11.0170 | + | 3.39828i | −0.638196 | + | 0.196857i | ||||
\(299\) | −23.4906 | − | 16.0156i | −1.35849 | − | 0.926206i | ||||
\(300\) | 30.7704 | − | 16.8653i | 1.77653 | − | 0.973718i | ||||
\(301\) | −20.2728 | + | 0.630560i | −1.16850 | + | 0.0363449i | ||||
\(302\) | 45.6873 | + | 31.1491i | 2.62901 | + | 1.79243i | ||||
\(303\) | −14.4530 | + | 14.8987i | −0.830303 | + | 0.855910i | ||||
\(304\) | 61.0633 | + | 29.4065i | 3.50222 | + | 1.68658i | ||||
\(305\) | −0.605111 | + | 1.54180i | −0.0346485 | + | 0.0882830i | ||||
\(306\) | 32.8321 | + | 17.6487i | 1.87689 | + | 1.00891i | ||||
\(307\) | 6.14719 | + | 7.70834i | 0.350839 | + | 0.439938i | 0.925669 | − | 0.378335i | \(-0.123503\pi\) |
−0.574830 | + | 0.818273i | \(0.694932\pi\) | |||||||
\(308\) | 1.81559 | − | 2.42785i | 0.103453 | − | 0.138339i | ||||
\(309\) | −13.3900 | + | 13.8030i | −0.761731 | + | 0.785223i | ||||
\(310\) | 5.19183 | + | 2.50025i | 0.294876 | + | 0.142005i | ||||
\(311\) | 18.4015 | + | 5.67610i | 1.04345 | + | 0.321862i | 0.768670 | − | 0.639645i | \(-0.220919\pi\) |
0.274780 | + | 0.961507i | \(0.411395\pi\) | |||||||
\(312\) | 29.4900 | + | 64.8855i | 1.66954 | + | 3.67342i | ||||
\(313\) | −7.25008 | − | 12.5575i | −0.409799 | − | 0.709792i | 0.585068 | − | 0.810984i | \(-0.301068\pi\) |
−0.994867 | + | 0.101192i | \(0.967734\pi\) | |||||||
\(314\) | 9.36170 | + | 41.0163i | 0.528312 | + | 2.31468i | ||||
\(315\) | −19.8650 | + | 13.1591i | −1.11926 | + | 0.741432i | ||||
\(316\) | 14.0738 | − | 61.6615i | 0.791715 | − | 3.46873i | ||||
\(317\) | 10.4630 | − | 3.22739i | 0.587658 | − | 0.181269i | 0.0133544 | − | 0.999911i | \(-0.495749\pi\) |
0.574304 | + | 0.818642i | \(0.305273\pi\) | |||||||
\(318\) | −8.15664 | − | 28.6911i | −0.457402 | − | 1.60891i | ||||
\(319\) | −0.0670946 | − | 0.170954i | −0.00375658 | − | 0.00957160i | ||||
\(320\) | −9.71882 | + | 42.5809i | −0.543298 | + | 2.38035i | ||||
\(321\) | −6.92363 | − | 7.80257i | −0.386439 | − | 0.435497i | ||||
\(322\) | 15.4843 | + | 36.1099i | 0.862904 | + | 2.01233i | ||||
\(323\) | 6.19369 | + | 27.1363i | 0.344626 | + | 1.50991i | ||||
\(324\) | −35.9227 | + | 27.8302i | −1.99571 | + | 1.54612i | ||||
\(325\) | 10.1975 | + | 17.6626i | 0.565656 | + | 0.979746i | ||||
\(326\) | 11.2823 | + | 49.4308i | 0.624866 | + | 2.73772i | ||||
\(327\) | −0.136025 | + | 6.12211i | −0.00752218 | + | 0.338553i | ||||
\(328\) | −13.0171 | − | 1.96201i | −0.718750 | − | 0.108334i | ||||
\(329\) | −17.3345 | + | 12.6254i | −0.955682 | + | 0.696059i | ||||
\(330\) | 1.42173 | − | 2.79185i | 0.0782634 | − | 0.153686i | ||||
\(331\) | −11.1435 | + | 10.3397i | −0.612502 | + | 0.568319i | −0.924222 | − | 0.381855i | \(-0.875285\pi\) |
0.311720 | + | 0.950174i | \(0.399095\pi\) | |||||||
\(332\) | −19.1568 | + | 48.8106i | −1.05136 | + | 2.67883i | ||||
\(333\) | 3.25219 | − | 1.39178i | 0.178219 | − | 0.0762692i | ||||
\(334\) | −5.45801 | − | 13.9068i | −0.298649 | − | 0.760945i | ||||
\(335\) | 0.560502 | − | 7.47938i | 0.0306235 | − | 0.408642i | ||||
\(336\) | 7.32412 | − | 51.7032i | 0.399564 | − | 2.82064i | ||||
\(337\) | −1.36131 | − | 18.1654i | −0.0741554 | − | 0.989535i | −0.902884 | − | 0.429884i | \(-0.858554\pi\) |
0.828729 | − | 0.559651i | \(-0.189065\pi\) | |||||||
\(338\) | −30.7081 | + | 14.7882i | −1.67030 | + | 0.804375i | ||||
\(339\) | −8.55656 | + | 1.75397i | −0.464729 | + | 0.0952626i | ||||
\(340\) | −63.9105 | + | 30.7777i | −3.46604 | + | 1.66915i | ||||
\(341\) | 0.162241 | − | 0.0244539i | 0.00878584 | − | 0.00132425i | ||||
\(342\) | −46.4847 | − | 9.13432i | −2.51360 | − | 0.493928i | ||||
\(343\) | −2.42139 | + | 18.3613i | −0.130743 | + | 0.991416i | ||||
\(344\) | 31.0301 | − | 53.7457i | 1.67303 | − | 2.89777i | ||||
\(345\) | 15.8454 | + | 24.3877i | 0.853087 | + | 1.31299i | ||||
\(346\) | −0.460295 | + | 6.14222i | −0.0247456 | + | 0.330208i | ||||
\(347\) | −17.3653 | − | 16.1127i | −0.932219 | − | 0.864973i | 0.0588578 | − | 0.998266i | \(-0.481254\pi\) |
−0.991077 | + | 0.133294i | \(0.957445\pi\) | |||||||
\(348\) | −5.43365 | − | 4.53426i | −0.291274 | − | 0.243062i | ||||
\(349\) | −0.176167 | + | 0.120109i | −0.00943002 | + | 0.00642928i | −0.568026 | − | 0.823011i | \(-0.692293\pi\) |
0.558596 | + | 0.829440i | \(0.311340\pi\) | |||||||
\(350\) | 1.23146 | − | 28.1579i | 0.0658243 | − | 1.50511i | ||||
\(351\) | −16.6356 | − | 20.5150i | −0.887945 | − | 1.09501i | ||||
\(352\) | 1.16603 | + | 2.97099i | 0.0621495 | + | 0.158354i | ||||
\(353\) | 27.0070 | + | 13.0059i | 1.43744 | + | 0.692232i | 0.980364 | − | 0.197198i | \(-0.0631841\pi\) |
0.457072 | + | 0.889430i | \(0.348898\pi\) | |||||||
\(354\) | −33.5387 | − | 51.6196i | −1.78256 | − | 2.74355i | ||||
\(355\) | 8.12607 | + | 35.6026i | 0.431287 | + | 1.88959i | ||||
\(356\) | −6.55247 | + | 16.6954i | −0.347280 | + | 0.884855i | ||||
\(357\) | 18.4765 | − | 10.8873i | 0.977882 | − | 0.576217i | ||||
\(358\) | 15.9891 | + | 40.7396i | 0.845050 | + | 2.15315i | ||||
\(359\) | −4.55140 | + | 3.10309i | −0.240213 | + | 0.163775i | −0.677443 | − | 0.735575i | \(-0.736912\pi\) |
0.437230 | + | 0.899350i | \(0.355960\pi\) | |||||||
\(360\) | −2.21389 | − | 72.8750i | −0.116682 | − | 3.84085i | ||||
\(361\) | −8.18756 | − | 14.1813i | −0.430924 | − | 0.746382i | ||||
\(362\) | 18.7940 | + | 32.5521i | 0.987788 | + | 1.71090i | ||||
\(363\) | 2.40911 | + | 18.8097i | 0.126446 | + | 0.987253i | ||||
\(364\) | 67.4265 | + | 8.02805i | 3.53411 | + | 0.420784i | ||||
\(365\) | 27.0865 | − | 8.35507i | 1.41777 | − | 0.437324i | ||||
\(366\) | 1.68395 | + | 1.89773i | 0.0880217 | + | 0.0991959i | ||||
\(367\) | 5.95080 | − | 7.46207i | 0.310629 | − | 0.389517i | −0.601871 | − | 0.798594i | \(-0.705578\pi\) |
0.912500 | + | 0.409077i | \(0.134149\pi\) | |||||||
\(368\) | −63.0242 | − | 9.49937i | −3.28536 | − | 0.495189i | ||||
\(369\) | 4.85143 | − | 0.512113i | 0.252555 | − | 0.0266595i | ||||
\(370\) | −2.09136 | + | 9.16287i | −0.108725 | + | 0.476355i | ||||
\(371\) | −16.5480 | − | 4.54607i | −0.859130 | − | 0.236020i | ||||
\(372\) | 5.02959 | − | 3.83133i | 0.260772 | − | 0.198645i | ||||
\(373\) | 16.1867 | 0.838116 | 0.419058 | − | 0.907959i | \(-0.362360\pi\) | ||||
0.419058 | + | 0.907959i | \(0.362360\pi\) | |||||||
\(374\) | −1.40987 | + | 2.44197i | −0.0729029 | + | 0.126271i | ||||
\(375\) | 0.652409 | + | 5.09383i | 0.0336902 | + | 0.263044i | ||||
\(376\) | −4.90353 | − | 65.4331i | −0.252880 | − | 3.37445i | ||||
\(377\) | 2.56465 | − | 3.21597i | 0.132086 | − | 0.165631i | ||||
\(378\) | 4.15380 | + | 36.2633i | 0.213648 | + | 1.86518i | ||||
\(379\) | −6.16224 | − | 7.72720i | −0.316533 | − | 0.396920i | 0.597957 | − | 0.801528i | \(-0.295979\pi\) |
−0.914490 | + | 0.404608i | \(0.867408\pi\) | |||||||
\(380\) | 66.0871 | − | 61.3199i | 3.39020 | − | 3.14564i | ||||
\(381\) | 3.72131 | + | 5.72749i | 0.190648 | + | 0.293428i | ||||
\(382\) | 28.3126 | − | 19.3032i | 1.44860 | − | 0.987637i | ||||
\(383\) | −9.55387 | + | 11.9802i | −0.488180 | + | 0.612158i | −0.963518 | − | 0.267645i | \(-0.913754\pi\) |
0.475338 | + | 0.879803i | \(0.342326\pi\) | |||||||
\(384\) | 13.9630 | + | 11.6518i | 0.712548 | + | 0.594605i | ||||
\(385\) | −0.949360 | − | 1.53226i | −0.0483839 | − | 0.0780913i | ||||
\(386\) | −26.5366 | − | 12.7793i | −1.35068 | − | 0.650451i | ||||
\(387\) | −6.10842 | + | 22.1723i | −0.310509 | + | 1.12708i | ||||
\(388\) | −75.0991 | + | 23.1650i | −3.81258 | + | 1.17603i | ||||
\(389\) | 4.14103 | − | 1.99421i | 0.209958 | − | 0.101111i | −0.325949 | − | 0.945387i | \(-0.605684\pi\) |
0.535908 | + | 0.844277i | \(0.319970\pi\) | |||||||
\(390\) | 70.0762 | − | 3.68835i | 3.54844 | − | 0.186767i | ||||
\(391\) | −13.0877 | − | 22.6686i | −0.661873 | − | 1.14640i | ||||
\(392\) | −43.8555 | − | 35.8877i | −2.21504 | − | 1.81260i | ||||
\(393\) | 25.9439 | + | 2.52487i | 1.30870 | + | 0.127363i | ||||
\(394\) | 15.2395 | − | 38.8296i | 0.767755 | − | 1.95621i | ||||
\(395\) | −31.0708 | − | 21.1837i | −1.56334 | − | 1.06587i | ||||
\(396\) | −2.02179 | − | 2.78013i | −0.101599 | − | 0.139707i | ||||
\(397\) | 0.972837 | − | 12.9816i | 0.0488253 | − | 0.651529i | −0.918080 | − | 0.396394i | \(-0.870261\pi\) |
0.966906 | − | 0.255134i | \(-0.0821196\pi\) | |||||||
\(398\) | 14.3808 | − | 9.80467i | 0.720845 | − | 0.491464i | ||||
\(399\) | −18.3605 | + | 20.1437i | −0.919175 | + | 1.00845i | ||||
\(400\) | 37.7770 | + | 25.7559i | 1.88885 | + | 1.28780i | ||||
\(401\) | −7.12146 | + | 8.93003i | −0.355629 | + | 0.445944i | −0.927177 | − | 0.374624i | \(-0.877772\pi\) |
0.571548 | + | 0.820569i | \(0.306343\pi\) | |||||||
\(402\) | −9.81987 | − | 5.96420i | −0.489771 | − | 0.297467i | ||||
\(403\) | 2.29128 | + | 2.87317i | 0.114137 | + | 0.143123i | ||||
\(404\) | −57.8210 | − | 17.8354i | −2.87670 | − | 0.887345i | ||||
\(405\) | 7.60008 | + | 25.9276i | 0.377651 | + | 1.28835i | ||||
\(406\) | −5.37722 | + | 1.84359i | −0.266867 | + | 0.0914959i | ||||
\(407\) | 0.0977654 | + | 0.249102i | 0.00484605 | + | 0.0123475i | ||||
\(408\) | −1.45760 | + | 65.6026i | −0.0721618 | + | 3.24781i | ||||
\(409\) | 16.7045 | + | 5.15265i | 0.825983 | + | 0.254782i | 0.678796 | − | 0.734327i | \(-0.262502\pi\) |
0.147187 | + | 0.989109i | \(0.452978\pi\) | |||||||
\(410\) | −6.48053 | + | 11.2246i | −0.320051 | + | 0.554344i | ||||
\(411\) | −4.28802 | − | 0.417311i | −0.211512 | − | 0.0205844i | ||||
\(412\) | −53.5684 | − | 16.5237i | −2.63913 | − | 0.814063i | ||||
\(413\) | −35.3996 | + | 1.10106i | −1.74190 | + | 0.0541796i | ||||
\(414\) | 44.3043 | − | 4.67673i | 2.17744 | − | 0.229849i | ||||
\(415\) | 22.8541 | + | 21.2055i | 1.12186 | + | 1.04094i | ||||
\(416\) | −44.5708 | + | 55.8900i | −2.18526 | + | 2.74023i | ||||
\(417\) | −22.1910 | − | 5.58634i | −1.08670 | − | 0.273564i | ||||
\(418\) | 0.797445 | − | 3.49383i | 0.0390043 | − | 0.170889i | ||||
\(419\) | −12.0660 | + | 3.72188i | −0.589465 | + | 0.181826i | −0.575117 | − | 0.818071i | \(-0.695043\pi\) |
−0.0143479 | + | 0.999897i | \(0.504567\pi\) | |||||||
\(420\) | −60.4612 | − | 34.1952i | −2.95021 | − | 1.66855i | ||||
\(421\) | −29.5849 | − | 9.12574i | −1.44188 | − | 0.444761i | −0.527479 | − | 0.849568i | \(-0.676863\pi\) |
−0.914402 | + | 0.404807i | \(0.867339\pi\) | |||||||
\(422\) | 30.2504 | − | 52.3953i | 1.47257 | − | 2.55056i | ||||
\(423\) | 7.86960 | + | 23.0076i | 0.382633 | + | 1.11867i | ||||
\(424\) | 38.4919 | − | 35.7152i | 1.86933 | − | 1.73449i | ||||
\(425\) | 1.40322 | + | 18.7246i | 0.0680661 | + | 0.908279i | ||||
\(426\) | 54.2469 | + | 13.6560i | 2.62827 | + | 0.661638i | ||||
\(427\) | 1.43594 | − | 0.262327i | 0.0694902 | − | 0.0126949i | ||||
\(428\) | 11.1096 | − | 28.3069i | 0.537004 | − | 1.36826i | ||||
\(429\) | 1.58940 | − | 1.21074i | 0.0767369 | − | 0.0584549i | ||||
\(430\) | −38.0969 | − | 47.7721i | −1.83720 | − | 2.30377i | ||||
\(431\) | 2.69997 | + | 36.0285i | 0.130053 | + | 1.73543i | 0.556436 | + | 0.830891i | \(0.312169\pi\) |
−0.426383 | + | 0.904543i | \(0.640212\pi\) | |||||||
\(432\) | −53.5551 | − | 25.2549i | −2.57667 | − | 1.21507i | ||||
\(433\) | 7.67251 | − | 3.69488i | 0.368717 | − | 0.177565i | −0.240345 | − | 0.970688i | \(-0.577260\pi\) |
0.609062 | + | 0.793123i | \(0.291546\pi\) | |||||||
\(434\) | −0.536782 | − | 5.05011i | −0.0257664 | − | 0.242413i | ||||
\(435\) | −3.68990 | + | 2.02243i | −0.176917 | + | 0.0969683i | ||||
\(436\) | −16.0832 | + | 7.74524i | −0.770243 | + | 0.370930i | ||||
\(437\) | 24.3864 | + | 22.6273i | 1.16656 | + | 1.08241i | ||||
\(438\) | 7.42366 | − | 42.7814i | 0.354716 | − | 2.04417i | ||||
\(439\) | −1.10755 | + | 2.82200i | −0.0528606 | + | 0.134687i | −0.954865 | − | 0.297040i | \(-0.904000\pi\) |
0.902004 | + | 0.431727i | \(0.142096\pi\) | |||||||
\(440\) | 5.51533 | 0.262933 | ||||||||
\(441\) | 19.0792 | + | 8.77416i | 0.908531 | + | 0.417817i | ||||
\(442\) | −63.1569 | −3.00407 | ||||||||
\(443\) | −0.441500 | + | 1.12492i | −0.0209763 | + | 0.0534467i | −0.940978 | − | 0.338467i | \(-0.890092\pi\) |
0.920002 | + | 0.391914i | \(0.128187\pi\) | |||||||
\(444\) | 7.91752 | + | 6.60699i | 0.375749 | + | 0.313554i | ||||
\(445\) | 7.81712 | + | 7.25323i | 0.370567 | + | 0.343836i | ||||
\(446\) | 21.2214 | − | 10.2197i | 1.00486 | − | 0.483916i | ||||
\(447\) | 6.42848 | + | 3.90440i | 0.304057 | + | 0.184672i | ||||
\(448\) | 36.4115 | − | 12.4838i | 1.72028 | − | 0.589803i | ||||
\(449\) | 21.9679 | − | 10.5792i | 1.03673 | − | 0.499263i | 0.163485 | − | 0.986546i | \(-0.447726\pi\) |
0.873244 | + | 0.487283i | \(0.162012\pi\) | |||||||
\(450\) | −30.0903 | − | 10.7671i | −1.41847 | − | 0.507564i | ||||
\(451\) | 0.0275781 | + | 0.368004i | 0.00129860 | + | 0.0173286i | ||||
\(452\) | −15.8752 | − | 19.9069i | −0.746707 | − | 0.936341i | ||||
\(453\) | −4.58275 | − | 35.7808i | −0.215316 | − | 1.68113i | ||||
\(454\) | −16.5392 | + | 42.1411i | −0.776222 | + | 1.97778i | ||||
\(455\) | 19.0898 | − | 35.5748i | 0.894945 | − | 1.66777i | ||||
\(456\) | −22.8053 | − | 80.2178i | −1.06796 | − | 3.75654i | ||||
\(457\) | 0.0689218 | + | 0.919698i | 0.00322403 | + | 0.0430216i | 0.998584 | − | 0.0532019i | \(-0.0169427\pi\) |
−0.995360 | + | 0.0962235i | \(0.969324\pi\) | |||||||
\(458\) | −15.4924 | + | 14.3748i | −0.723910 | + | 0.671691i | ||||
\(459\) | −5.60421 | − | 23.6625i | −0.261582 | − | 1.10447i | ||||
\(460\) | −42.3903 | + | 73.4222i | −1.97646 | + | 3.42333i | ||||
\(461\) | −10.1505 | − | 3.13103i | −0.472758 | − | 0.145827i | 0.0492156 | − | 0.998788i | \(-0.484328\pi\) |
−0.521974 | + | 0.852962i | \(0.674804\pi\) | |||||||
\(462\) | −2.75149 | + | 0.230780i | −0.128011 | + | 0.0107369i | ||||
\(463\) | −20.0282 | + | 6.17788i | −0.930789 | + | 0.287110i | −0.722829 | − | 0.691027i | \(-0.757159\pi\) |
−0.207960 | + | 0.978137i | \(0.566682\pi\) | |||||||
\(464\) | 2.05195 | − | 8.99020i | 0.0952596 | − | 0.417359i | ||||
\(465\) | −1.02800 | − | 3.61599i | −0.0476723 | − | 0.167688i | ||||
\(466\) | 35.2675 | − | 44.2241i | 1.63374 | − | 2.04864i | ||||
\(467\) | −0.0237018 | − | 0.0219921i | −0.00109679 | − | 0.00101767i | 0.679624 | − | 0.733561i | \(-0.262143\pi\) |
−0.680721 | + | 0.732543i | \(0.738333\pi\) | |||||||
\(468\) | 31.2848 | − | 70.3520i | 1.44614 | − | 3.25202i | ||||
\(469\) | −5.86350 | + | 3.05180i | −0.270751 | + | 0.140919i | ||||
\(470\) | −61.7341 | − | 19.0425i | −2.84758 | − | 0.878363i | ||||
\(471\) | 15.9608 | − | 22.3279i | 0.735433 | − | 1.02881i | ||||
\(472\) | 54.1836 | − | 93.8487i | 2.49400 | − | 4.31974i | ||||
\(473\) | −1.66247 | − | 0.512803i | −0.0764402 | − | 0.0235787i | ||||
\(474\) | −50.5143 | + | 27.6869i | −2.32020 | + | 1.27170i | ||||
\(475\) | −8.71861 | − | 22.2147i | −0.400037 | − | 1.01928i | ||||
\(476\) | 52.7232 | + | 33.5938i | 2.41656 | + | 1.53977i | ||||
\(477\) | −10.4683 | + | 16.4031i | −0.479311 | + | 0.751046i | ||||
\(478\) | −33.3208 | − | 10.2781i | −1.52406 | − | 0.470110i | ||||
\(479\) | −3.92901 | − | 4.92683i | −0.179521 | − | 0.225113i | 0.683926 | − | 0.729551i | \(-0.260271\pi\) |
−0.863448 | + | 0.504439i | \(0.831700\pi\) | |||||||
\(480\) | 64.1262 | − | 35.1476i | 2.92695 | − | 1.60426i | ||||
\(481\) | −3.73703 | + | 4.68609i | −0.170394 | + | 0.213667i | ||||
\(482\) | 39.5445 | + | 26.9610i | 1.80120 | + | 1.22804i | ||||
\(483\) | 10.9156 | − | 23.1910i | 0.496677 | − | 1.05523i | ||||
\(484\) | −45.6745 | + | 31.1404i | −2.07611 | + | 1.41547i | ||||
\(485\) | −3.49198 | + | 46.5973i | −0.158563 | + | 2.11587i | ||||
\(486\) | 40.6747 | + | 7.64867i | 1.84504 | + | 0.346951i | ||||
\(487\) | −8.47286 | − | 5.77670i | −0.383942 | − | 0.261767i | 0.355933 | − | 0.934511i | \(-0.384163\pi\) |
−0.739875 | + | 0.672744i | \(0.765115\pi\) | |||||||
\(488\) | −1.63175 | + | 4.15763i | −0.0738658 | + | 0.188207i | ||||
\(489\) | 19.2351 | − | 26.9084i | 0.869841 | − | 1.21684i | ||||
\(490\) | −48.6666 | + | 27.2852i | −2.19853 | + | 1.23262i | ||||
\(491\) | 13.8850 | + | 24.0496i | 0.626623 | + | 1.08534i | 0.988225 | + | 0.153010i | \(0.0488968\pi\) |
−0.361601 | + | 0.932333i | \(0.617770\pi\) | |||||||
\(492\) | 7.74797 | + | 11.9250i | 0.349306 | + | 0.537619i | ||||
\(493\) | 3.41204 | − | 1.64315i | 0.153671 | − | 0.0740039i | ||||
\(494\) | 76.7015 | − | 23.6593i | 3.45096 | − | 1.06448i | ||||
\(495\) | −1.97790 | + | 0.515102i | −0.0889001 | + | 0.0231521i | ||||
\(496\) | 7.42260 | + | 3.57454i | 0.333285 | + | 0.160501i | ||||
\(497\) | 22.9005 | − | 22.6135i | 1.02723 | − | 1.01436i | ||||
\(498\) | 44.8323 | − | 16.4558i | 2.00899 | − | 0.737402i | ||||
\(499\) | 11.9755 | − | 15.0168i | 0.536096 | − | 0.672243i | −0.437844 | − | 0.899051i | \(-0.644258\pi\) |
0.973939 | + | 0.226808i | \(0.0728291\pi\) | |||||||
\(500\) | −12.3690 | + | 8.43308i | −0.553161 | + | 0.377139i | ||||
\(501\) | −4.42267 | + | 8.68481i | −0.197590 | + | 0.388009i | ||||
\(502\) | 32.7679 | − | 30.4042i | 1.46250 | − | 1.35700i | ||||
\(503\) | 6.73606 | + | 8.44676i | 0.300346 | + | 0.376622i | 0.908988 | − | 0.416823i | \(-0.136857\pi\) |
−0.608641 | + | 0.793445i | \(0.708285\pi\) | |||||||
\(504\) | −53.5681 | + | 35.4850i | −2.38611 | + | 1.58063i | ||||
\(505\) | −22.4314 | + | 28.1281i | −0.998185 | + | 1.25168i | ||||
\(506\) | 0.251849 | + | 3.36069i | 0.0111960 | + | 0.149401i | ||||
\(507\) | 20.5124 | + | 8.58112i | 0.910989 | + | 0.381101i | ||||
\(508\) | −9.95542 | + | 17.2433i | −0.441700 | + | 0.765047i | ||||
\(509\) | 37.9635 | 1.68270 | 0.841352 | − | 0.540487i | \(-0.181760\pi\) | ||||
0.841352 | + | 0.540487i | \(0.181760\pi\) | |||||||
\(510\) | 59.6014 | + | 24.9335i | 2.63919 | + | 1.10407i | ||||
\(511\) | −18.8321 | − | 16.4142i | −0.833084 | − | 0.726121i | ||||
\(512\) | 5.39386 | − | 23.6320i | 0.238377 | − | 1.04440i | ||||
\(513\) | 15.6703 | + | 26.6377i | 0.691862 | + | 1.17608i | ||||
\(514\) | −0.341419 | − | 0.0514606i | −0.0150593 | − | 0.00226983i | ||||
\(515\) | −20.7816 | + | 26.0594i | −0.915749 | + | 1.14831i | ||||
\(516\) | −65.6767 | + | 13.4628i | −2.89126 | + | 0.592665i | ||||
\(517\) | −1.75773 | + | 0.542189i | −0.0773051 | + | 0.0238455i | ||||
\(518\) | 7.83530 | − | 2.68635i | 0.344263 | − | 0.118031i | ||||
\(519\) | 3.19646 | − | 2.43492i | 0.140309 | − | 0.106881i | ||||
\(520\) | 61.7663 | + | 106.982i | 2.70863 | + | 4.69149i | ||||
\(521\) | −4.09821 | − | 7.09831i | −0.179546 | − | 0.310983i | 0.762179 | − | 0.647366i | \(-0.224129\pi\) |
−0.941725 | + | 0.336384i | \(0.890796\pi\) | |||||||
\(522\) | 0.195722 | + | 6.44262i | 0.00856654 | + | 0.281986i | ||||
\(523\) | −17.4560 | + | 11.9013i | −0.763300 | + | 0.520409i | −0.881273 | − | 0.472608i | \(-0.843313\pi\) |
0.117973 | + | 0.993017i | \(0.462360\pi\) | |||||||
\(524\) | 27.7609 | + | 70.7337i | 1.21274 | + | 3.09002i | ||||
\(525\) | −14.2731 | + | 11.5913i | −0.622931 | + | 0.505884i | ||||
\(526\) | −2.00647 | + | 5.11240i | −0.0874862 | + | 0.222911i | ||||
\(527\) | 0.752879 | + | 3.29858i | 0.0327959 | + | 0.143688i | ||||
\(528\) | 2.03260 | − | 3.99142i | 0.0884574 | − | 0.173704i | ||||
\(529\) | −7.46396 | − | 3.59445i | −0.324520 | − | 0.156281i | ||||
\(530\) | −18.8878 | − | 48.1253i | −0.820432 | − | 2.09043i | ||||
\(531\) | −10.6663 | + | 38.7164i | −0.462878 | + | 1.68015i | ||||
\(532\) | −76.6147 | − | 21.0476i | −3.32167 | − | 0.912528i | ||||
\(533\) | −6.82943 | + | 4.65623i | −0.295815 | + | 0.201684i | ||||
\(534\) | 15.3347 | − | 5.62862i | 0.663596 | − | 0.243574i | ||||
\(535\) | −13.2538 | − | 12.2978i | −0.573013 | − | 0.531678i | ||||
\(536\) | 1.51146 | − | 20.1690i | 0.0652850 | − | 0.871168i | ||||
\(537\) | 12.9561 | − | 25.4419i | 0.559097 | − | 1.09790i | ||||
\(538\) | 10.3588 | − | 17.9419i | 0.446598 | − | 0.773530i | ||||
\(539\) | −0.707260 | + | 1.42246i | −0.0304639 | + | 0.0612699i | ||||
\(540\) | −57.2976 | + | 54.0406i | −2.46570 | + | 2.32554i | ||||
\(541\) | 21.9177 | − | 3.30357i | 0.942318 | − | 0.142032i | 0.340123 | − | 0.940381i | \(-0.389531\pi\) |
0.602195 | + | 0.798349i | \(0.294293\pi\) | |||||||
\(542\) | −15.3213 | + | 7.37835i | −0.658106 | + | 0.316927i | ||||
\(543\) | 7.74646 | − | 23.2655i | 0.332433 | − | 0.998417i | ||||
\(544\) | −59.2974 | + | 28.5561i | −2.54236 | + | 1.22433i | ||||
\(545\) | 0.793163 | + | 10.5840i | 0.0339754 | + | 0.453370i | ||||
\(546\) | −35.2905 | − | 50.7869i | −1.51030 | − | 2.17348i | ||||
\(547\) | 3.23907 | − | 43.2223i | 0.138492 | − | 1.84805i | −0.305708 | − | 0.952125i | \(-0.598893\pi\) |
0.444200 | − | 0.895928i | \(-0.353488\pi\) | |||||||
\(548\) | −4.58833 | − | 11.6909i | −0.196004 | − | 0.499410i | ||||
\(549\) | 0.196876 | − | 1.64340i | 0.00840247 | − | 0.0701387i | ||||
\(550\) | 0.883241 | − | 2.25046i | 0.0376615 | − | 0.0959600i | ||||
\(551\) | −3.52824 | + | 3.27373i | −0.150308 | + | 0.139466i | ||||
\(552\) | 42.7289 | + | 65.7643i | 1.81866 | + | 2.79912i | ||||
\(553\) | −1.44804 | + | 33.1102i | −0.0615770 | + | 1.40799i | ||||
\(554\) | −4.95638 | − | 0.747054i | −0.210576 | − | 0.0317393i | ||||
\(555\) | 5.37665 | − | 2.94695i | 0.228226 | − | 0.125091i | ||||
\(556\) | −14.8438 | − | 65.0348i | −0.629516 | − | 2.75809i | ||||
\(557\) | −7.35586 | − | 12.7407i | −0.311678 | − | 0.539842i | 0.667048 | − | 0.745015i | \(-0.267558\pi\) |
−0.978726 | + | 0.205173i | \(0.934224\pi\) | |||||||
\(558\) | −5.65049 | − | 1.11033i | −0.239204 | − | 0.0470040i | ||||
\(559\) | −8.67101 | − | 37.9902i | −0.366745 | − | 1.60681i | ||||
\(560\) | 3.95452 | − | 90.4222i | 0.167109 | − | 3.82104i | ||||
\(561\) | 1.80205 | − | 0.369394i | 0.0760825 | − | 0.0155958i | ||||
\(562\) | −7.39829 | + | 32.4140i | −0.312078 | + | 1.36730i | ||||
\(563\) | 13.3117 | + | 33.9177i | 0.561022 | + | 1.42946i | 0.876906 | + | 0.480662i | \(0.159604\pi\) |
−0.315884 | + | 0.948798i | \(0.602301\pi\) | |||||||
\(564\) | −49.3559 | + | 50.8781i | −2.07826 | + | 2.14235i | ||||
\(565\) | −14.4664 | + | 4.46228i | −0.608605 | + | 0.187730i | ||||
\(566\) | −6.53351 | + | 28.6252i | −0.274624 | + | 1.20321i | ||||
\(567\) | 15.8964 | − | 17.7286i | 0.667588 | − | 0.744531i | ||||
\(568\) | 21.9129 | + | 96.0066i | 0.919444 | + | 4.02835i | ||||
\(569\) | 5.94452 | + | 10.2962i | 0.249207 | + | 0.431639i | 0.963306 | − | 0.268405i | \(-0.0864967\pi\) |
−0.714099 | + | 0.700045i | \(0.753163\pi\) | |||||||
\(570\) | −81.7238 | − | 7.95338i | −3.42303 | − | 0.333131i | ||||
\(571\) | 35.9403 | + | 11.0861i | 1.50406 | + | 0.463940i | 0.933881 | − | 0.357584i | \(-0.116400\pi\) |
0.570174 | + | 0.821524i | \(0.306876\pi\) | |||||||
\(572\) | 5.24761 | + | 2.52712i | 0.219414 | + | 0.105664i | ||||
\(573\) | −21.6783 | − | 5.45727i | −0.905624 | − | 0.227981i | ||||
\(574\) | 11.4172 | − | 0.355118i | 0.476546 | − | 0.0148223i | ||||
\(575\) | 13.9924 | + | 17.5460i | 0.583525 | + | 0.731717i | ||||
\(576\) | −1.32532 | − | 43.6259i | −0.0552218 | − | 1.81774i | ||||
\(577\) | −8.99692 | + | 22.9238i | −0.374547 | + | 0.954329i | 0.612001 | + | 0.790857i | \(0.290365\pi\) |
−0.986548 | + | 0.163472i | \(0.947731\pi\) | |||||||
\(578\) | −11.7230 | − | 5.64551i | −0.487614 | − | 0.234822i | ||||
\(579\) | 5.25432 | + | 18.4821i | 0.218362 | + | 0.768091i | ||||
\(580\) | −10.1348 | − | 6.90977i | −0.420823 | − | 0.286912i | ||||
\(581\) | 5.27832 | − | 26.9646i | 0.218981 | − | 1.11868i | ||||
\(582\) | 61.1788 | + | 37.1576i | 2.53594 | + | 1.54023i | ||||
\(583\) | −1.21623 | − | 0.829212i | −0.0503711 | − | 0.0343424i | ||||
\(584\) | 73.0418 | − | 22.5304i | 3.02249 | − | 0.932315i | ||||
\(585\) | −32.1422 | − | 32.5973i | −1.32892 | − | 1.34773i | ||||
\(586\) | 22.8677 | − | 3.44675i | 0.944656 | − | 0.142384i | ||||
\(587\) | 3.39981 | − | 5.88864i | 0.140325 | − | 0.243050i | −0.787294 | − | 0.616578i | \(-0.788519\pi\) |
0.927619 | + | 0.373528i | \(0.121852\pi\) | |||||||
\(588\) | 2.44635 | + | 61.1682i | 0.100886 | + | 2.52253i | ||||
\(589\) | −2.15002 | − | 3.72395i | −0.0885902 | − | 0.153443i | ||||
\(590\) | −66.5235 | − | 83.4178i | −2.73873 | − | 3.43426i | ||||
\(591\) | −25.5458 | + | 9.37665i | −1.05082 | + | 0.385704i | ||||
\(592\) | −2.98996 | + | 13.0999i | −0.122887 | + | 0.538401i | ||||
\(593\) | 1.88400 | − | 25.1402i | 0.0773666 | − | 1.03239i | −0.814523 | − | 0.580132i | \(-0.803001\pi\) |
0.891889 | − | 0.452254i | \(-0.149380\pi\) | |||||||
\(594\) | −0.671765 | + | 3.05794i | −0.0275629 | + | 0.125469i | ||||
\(595\) | 30.0459 | − | 21.8835i | 1.23176 | − | 0.897137i | ||||
\(596\) | −1.63848 | + | 21.8640i | −0.0671147 | + | 0.895584i | ||||
\(597\) | −11.0111 | − | 2.77191i | −0.450653 | − | 0.113447i | ||||
\(598\) | −62.3678 | + | 42.5216i | −2.55041 | + | 1.73884i | ||||
\(599\) | 20.6139 | − | 3.10704i | 0.842261 | − | 0.126950i | 0.286280 | − | 0.958146i | \(-0.407581\pi\) |
0.555980 | + | 0.831195i | \(0.312343\pi\) | |||||||
\(600\) | −7.14728 | − | 55.8040i | −0.291787 | − | 2.27819i | ||||
\(601\) | −37.9669 | + | 5.72259i | −1.54870 | + | 0.233429i | −0.867041 | − | 0.498237i | \(-0.833981\pi\) |
−0.681663 | + | 0.731667i | \(0.738743\pi\) | |||||||
\(602\) | −18.1059 | + | 50.7155i | −0.737942 | + | 2.06701i | ||||
\(603\) | 1.34164 | + | 7.37415i | 0.0546358 | + | 0.300299i | ||||
\(604\) | 86.8845 | − | 59.2369i | 3.53528 | − | 2.41031i | ||||
\(605\) | 7.31383 | + | 32.0440i | 0.297349 | + | 1.30277i | ||||
\(606\) | 22.8028 | + | 50.1719i | 0.926299 | + | 2.03809i | ||||
\(607\) | −33.4301 | −1.35689 | −0.678443 | − | 0.734653i | \(-0.737345\pi\) | ||||
−0.678443 | + | 0.734653i | \(0.737345\pi\) | |||||||
\(608\) | 61.3169 | − | 56.8938i | 2.48673 | − | 2.30735i | ||||
\(609\) | 3.22789 | + | 1.82560i | 0.130801 | + | 0.0739772i | ||||
\(610\) | 3.22358 | + | 2.99104i | 0.130519 | + | 0.121104i | ||||
\(611\) | −30.2019 | − | 28.0233i | −1.22184 | − | 1.13370i | ||||
\(612\) | 54.0538 | − | 45.8596i | 2.18500 | − | 1.85377i | ||||
\(613\) | −2.33771 | − | 0.352354i | −0.0944194 | − | 0.0142314i | 0.101663 | − | 0.994819i | \(-0.467584\pi\) |
−0.196082 | + | 0.980588i | \(0.562822\pi\) | |||||||
\(614\) | 25.0137 | − | 7.71571i | 1.00947 | − | 0.311381i | ||||
\(615\) | 8.28317 | − | 1.69793i | 0.334010 | − | 0.0684671i | ||||
\(616\) | −2.56006 | − | 4.13192i | −0.103148 | − | 0.166480i | ||||
\(617\) | −3.81699 | + | 3.54164i | −0.153666 | + | 0.142581i | −0.753259 | − | 0.657724i | \(-0.771519\pi\) |
0.599593 | + | 0.800305i | \(0.295329\pi\) | |||||||
\(618\) | 21.1257 | + | 46.4819i | 0.849799 | + | 1.86977i | ||||
\(619\) | 26.3249 | 1.05809 | 0.529044 | − | 0.848594i | \(-0.322551\pi\) | ||||
0.529044 | + | 0.848594i | \(0.322551\pi\) | |||||||
\(620\) | 8.03327 | − | 7.45379i | 0.322624 | − | 0.299351i | ||||
\(621\) | −21.4654 | − | 19.5937i | −0.861378 | − | 0.786268i | ||||
\(622\) | 31.8775 | − | 39.9731i | 1.27817 | − | 1.60278i | ||||
\(623\) | 1.80542 | − | 9.22309i | 0.0723327 | − | 0.369515i | ||||
\(624\) | 100.186 | − | 5.27312i | 4.01064 | − | 0.211094i | ||||
\(625\) | 6.44482 | + | 28.2366i | 0.257793 | + | 1.12946i | ||||
\(626\) | −38.0681 | + | 5.73785i | −1.52151 | + | 0.229331i | ||||
\(627\) | −2.05014 | + | 1.12368i | −0.0818746 | + | 0.0448755i | ||||
\(628\) | 79.1139 | + | 11.9245i | 3.15699 | + | 0.475840i | ||||
\(629\) | −4.97178 | + | 2.39428i | −0.198238 | + | 0.0954664i | ||||
\(630\) | 13.2538 | + | 61.8600i | 0.528043 | + | 2.46456i | ||||
\(631\) | −9.35060 | − | 4.50301i | −0.372241 | − | 0.179262i | 0.238404 | − | 0.971166i | \(-0.423376\pi\) |
−0.610646 | + | 0.791904i | \(0.709090\pi\) | |||||||
\(632\) | −83.7860 | − | 57.1243i | −3.33283 | − | 2.27228i | ||||
\(633\) | −38.6650 | + | 7.92575i | −1.53679 | + | 0.315020i | ||||
\(634\) | 2.17247 | − | 28.9895i | 0.0862796 | − | 1.15132i | ||||
\(635\) | 7.38116 | + | 9.25568i | 0.292912 | + | 0.367300i | ||||
\(636\) | −56.4578 | − | 5.49448i | −2.23870 | − | 0.217870i | ||||
\(637\) | −35.5126 | + | 2.21129i | −1.40706 | + | 0.0876143i | ||||
\(638\) | −0.487591 | −0.0193039 | ||||||||
\(639\) | −16.8249 | − | 32.3832i | −0.665582 | − | 1.28106i | ||||
\(640\) | 26.0437 | + | 17.7563i | 1.02947 | + | 0.701878i | ||||
\(641\) | −0.0607037 | + | 0.265960i | −0.00239765 | + | 0.0105048i | −0.976113 | − | 0.217265i | \(-0.930286\pi\) |
0.973715 | + | 0.227770i | \(0.0731435\pi\) | |||||||
\(642\) | −25.9997 | + | 9.54325i | −1.02613 | + | 0.376642i | ||||
\(643\) | −1.40254 | − | 18.7157i | −0.0553110 | − | 0.738073i | −0.954061 | − | 0.299612i | \(-0.903143\pi\) |
0.898750 | − | 0.438461i | \(-0.144476\pi\) | |||||||
\(644\) | 74.6821 | − | 2.32289i | 2.94289 | − | 0.0915347i | ||||
\(645\) | −6.81516 | + | 39.2747i | −0.268347 | + | 1.54644i | ||||
\(646\) | 73.0747 | + | 11.0142i | 2.87509 | + | 0.433350i | ||||
\(647\) | −1.71697 | − | 22.9114i | −0.0675011 | − | 0.900739i | −0.923460 | − | 0.383695i | \(-0.874651\pi\) |
0.855959 | − | 0.517044i | \(-0.172968\pi\) | |||||||
\(648\) | 20.4945 | + | 69.9167i | 0.805099 | + | 2.74659i | ||||
\(649\) | −2.90293 | − | 0.895437i | −0.113950 | − | 0.0351490i | ||||
\(650\) | 53.5443 | − | 8.07050i | 2.10018 | − | 0.316551i | ||||
\(651\) | −2.23183 | + | 2.44858i | −0.0874722 | + | 0.0959676i | ||||
\(652\) | 95.3441 | + | 14.3708i | 3.73396 | + | 0.562805i | ||||
\(653\) | −10.2987 | − | 4.95958i | −0.403018 | − | 0.194083i | 0.221383 | − | 0.975187i | \(-0.428943\pi\) |
−0.624401 | + | 0.781104i | \(0.714657\pi\) | |||||||
\(654\) | 14.9987 | + | 6.27454i | 0.586497 | + | 0.245354i | ||||
\(655\) | 45.1795 | 1.76531 | ||||||||
\(656\) | −9.26502 | + | 16.0475i | −0.361738 | + | 0.626549i | ||||
\(657\) | −24.0900 | + | 14.9015i | −0.939839 | + | 0.581365i | ||||
\(658\) | 14.3892 | + | 55.0883i | 0.560948 | + | 2.14757i | ||||
\(659\) | 12.3248 | + | 11.4358i | 0.480106 | + | 0.445474i | 0.882722 | − | 0.469895i | \(-0.155708\pi\) |
−0.402616 | + | 0.915369i | \(0.631899\pi\) | |||||||
\(660\) | −3.95452 | − | 4.45654i | −0.153929 | − | 0.173471i | ||||
\(661\) | −3.64327 | − | 9.28290i | −0.141707 | − | 0.361063i | 0.842347 | − | 0.538936i | \(-0.181174\pi\) |
−0.984053 | + | 0.177873i | \(0.943078\pi\) | |||||||
\(662\) | 14.7453 | + | 37.5703i | 0.573090 | + | 1.46021i | ||||
\(663\) | 27.3464 | + | 30.8180i | 1.06205 | + | 1.19687i | ||||
\(664\) | 61.6286 | + | 57.1830i | 2.39165 | + | 2.21913i | ||||
\(665\) | −28.2917 | + | 37.8322i | −1.09710 | + | 1.46707i | ||||
\(666\) | −0.285193 | − | 9.38773i | −0.0110510 | − | 0.363767i | ||||
\(667\) | 2.26313 | − | 3.91985i | 0.0876286 | − | 0.151777i | ||||
\(668\) | −28.4108 | −1.09925 | ||||||||
\(669\) | −14.1755 | − | 5.93014i | −0.548056 | − | 0.229272i | ||||
\(670\) | −17.9415 | − | 8.64016i | −0.693140 | − | 0.333798i | ||||
\(671\) | 0.123809 | + | 0.0186612i | 0.00477960 | + | 0.000720409i | ||||
\(672\) | −56.0971 | − | 31.7269i | −2.16399 | − | 1.22389i | ||||
\(673\) | −49.3675 | + | 7.44095i | −1.90298 | + | 0.286827i | −0.992060 | − | 0.125766i | \(-0.959861\pi\) |
−0.910915 | + | 0.412593i | \(0.864623\pi\) | |||||||
\(674\) | −46.2160 | − | 14.2558i | −1.78018 | − | 0.549111i | ||||
\(675\) | 7.77495 | + | 19.3449i | 0.299258 | + | 0.744585i | ||||
\(676\) | 4.84380 | + | 64.6360i | 0.186300 | + | 2.48600i | ||||
\(677\) | 38.9778 | + | 5.87496i | 1.49804 | + | 0.225793i | 0.846323 | − | 0.532670i | \(-0.178811\pi\) |
0.651716 | + | 0.758463i | \(0.274049\pi\) | |||||||
\(678\) | −3.96483 | + | 22.8487i | −0.152269 | + | 0.877500i | ||||
\(679\) | 36.5302 | − | 19.0130i | 1.40190 | − | 0.729653i | ||||
\(680\) | 8.49929 | + | 113.415i | 0.325933 | + | 4.34927i | ||||
\(681\) | 27.7245 | − | 10.1763i | 1.06241 | − | 0.389958i | ||||
\(682\) | 0.0969340 | − | 0.424696i | 0.00371180 | − | 0.0162624i | ||||
\(683\) | 26.5228 | + | 18.0830i | 1.01487 | + | 0.691925i | 0.952000 | − | 0.306097i | \(-0.0990231\pi\) |
0.0628674 | + | 0.998022i | \(0.479975\pi\) | |||||||
\(684\) | −48.4667 | + | 75.9438i | −1.85317 | + | 2.90379i | ||||
\(685\) | −7.46727 | −0.285310 | ||||||||
\(686\) | 43.0309 | + | 23.7946i | 1.64293 | + | 0.908483i | ||||
\(687\) | 13.7224 | + | 1.33547i | 0.523542 | + | 0.0509512i | ||||
\(688\) | −54.4660 | − | 68.2983i | −2.07650 | − | 2.60385i | ||||
\(689\) | 2.46386 | − | 32.8779i | 0.0938656 | − | 1.25255i | ||||
\(690\) | 75.6437 | − | 15.5058i | 2.87971 | − | 0.590297i | ||||
\(691\) | −13.6179 | − | 9.28454i | −0.518050 | − | 0.353201i | 0.275897 | − | 0.961187i | \(-0.411025\pi\) |
−0.793947 | + | 0.607987i | \(0.791977\pi\) | |||||||
\(692\) | 10.5535 | + | 5.08231i | 0.401185 | + | 0.193201i | ||||
\(693\) | 1.30398 | + | 1.24269i | 0.0495343 | + | 0.0472059i | ||||
\(694\) | −56.6662 | + | 27.2890i | −2.15102 | + | 1.03588i | ||||
\(695\) | −39.2194 | − | 5.91137i | −1.48768 | − | 0.224231i | ||||
\(696\) | −9.95023 | + | 5.45373i | −0.377162 | + | 0.206723i | ||||
\(697\) | −7.52499 | + | 1.13421i | −0.285029 | + | 0.0429613i | ||||
\(698\) | 0.125967 | + | 0.551898i | 0.00476793 | + | 0.0208897i | ||||
\(699\) | −36.8501 | + | 1.93955i | −1.39380 | + | 0.0733604i | ||||
\(700\) | −48.9914 | − | 21.7435i | −1.85170 | − | 0.821827i | ||||
\(701\) | −2.07827 | + | 2.60607i | −0.0784951 | + | 0.0984297i | −0.819528 | − | 0.573038i | \(-0.805765\pi\) |
0.741033 | + | 0.671468i | \(0.234336\pi\) | |||||||
\(702\) | −66.8388 | + | 21.2155i | −2.52267 | + | 0.800727i | ||||
\(703\) | 5.14110 | − | 4.77025i | 0.193900 | − | 0.179913i | ||||
\(704\) | 3.30170 | 0.124437 | ||||||||
\(705\) | 17.4384 | + | 38.3690i | 0.656769 | + | 1.44506i | ||||
\(706\) | 58.3401 | − | 54.1317i | 2.19566 | − | 2.03727i | ||||
\(707\) | 31.4848 | + | 3.74870i | 1.18411 | + | 0.140984i | ||||
\(708\) | −114.682 | + | 23.5082i | −4.31002 | + | 0.883491i | ||||
\(709\) | 17.3911 | − | 5.36445i | 0.653137 | − | 0.201466i | 0.0495606 | − | 0.998771i | \(-0.484218\pi\) |
0.603577 | + | 0.797305i | \(0.293742\pi\) | |||||||
\(710\) | 95.8735 | + | 14.4506i | 3.59807 | + | 0.542321i | ||||
\(711\) | 35.3824 | + | 12.6607i | 1.32694 | + | 0.474814i | ||||
\(712\) | 21.0798 | + | 19.5592i | 0.789997 | + | 0.733010i | ||||
\(713\) | 2.96431 | + | 2.75047i | 0.111014 | + | 0.103006i | ||||
\(714\) | −8.98580 | − | 56.2250i | −0.336285 | − | 2.10417i | ||||
\(715\) | 2.53859 | − | 2.35547i | 0.0949378 | − | 0.0880894i | ||||
\(716\) | 83.2286 | 3.11040 | ||||||||
\(717\) | 9.41234 | + | 20.7095i | 0.351510 | + | 0.773412i | ||||
\(718\) | 3.25444 | + | 14.2586i | 0.121455 | + | 0.532128i | ||||
\(719\) | 1.19124 | − | 0.812173i | 0.0444257 | − | 0.0302889i | −0.540904 | − | 0.841085i | \(-0.681918\pi\) |
0.585329 | + | 0.810796i | \(0.300965\pi\) | |||||||
\(720\) | −96.6274 | − | 34.5757i | −3.60109 | − | 1.28856i | ||||
\(721\) | 29.1691 | + | 3.47299i | 1.08632 | + | 0.129341i | ||||
\(722\) | −42.9906 | + | 6.47978i | −1.59994 | + | 0.241153i | ||||
\(723\) | −3.96659 | − | 30.9700i | −0.147519 | − | 1.15179i | ||||
\(724\) | 70.6833 | − | 10.6538i | 2.62693 | − | 0.395945i | ||||
\(725\) | −2.68275 | + | 1.82907i | −0.0996350 | + | 0.0679300i | ||||
\(726\) | 48.8247 | + | 12.2911i | 1.81205 | + | 0.456164i | ||||
\(727\) | −2.04306 | + | 27.2627i | −0.0757728 | + | 1.01112i | 0.821663 | + | 0.569973i | \(0.193046\pi\) |
−0.897436 | + | 0.441145i | \(0.854573\pi\) | |||||||
\(728\) | 51.4779 | − | 95.9316i | 1.90790 | − | 3.55546i | ||||
\(729\) | −13.8796 | − | 23.1594i | −0.514058 | − | 0.857756i | ||||
\(730\) | 5.62407 | − | 75.0481i | 0.208156 | − | 2.77765i | ||||
\(731\) | 7.98317 | − | 34.9765i | 0.295268 | − | 1.29365i | ||||
\(732\) | 4.52945 | − | 1.66254i | 0.167413 | − | 0.0614494i | ||||
\(733\) | 17.3858 | + | 21.8011i | 0.642158 | + | 0.805241i | 0.991271 | − | 0.131840i | \(-0.0420884\pi\) |
−0.349113 | + | 0.937081i | \(0.613517\pi\) | |||||||
\(734\) | −12.6702 | − | 21.9454i | −0.467665 | − | 0.810020i | ||||
\(735\) | 34.3863 | + | 11.9331i | 1.26836 | + | 0.440159i | ||||
\(736\) | −39.3306 | + | 68.1225i | −1.44974 | + | 2.51103i | ||||
\(737\) | −0.560658 | + | 0.0845056i | −0.0206521 | + | 0.00311281i | ||||
\(738\) | 3.44014 | − | 12.4870i | 0.126633 | − | 0.459651i | ||||
\(739\) | −10.2802 | + | 3.17103i | −0.378165 | + | 0.116648i | −0.478010 | − | 0.878355i | \(-0.658642\pi\) |
0.0998448 | + | 0.995003i | \(0.468165\pi\) | |||||||
\(740\) | 14.7677 | + | 10.0684i | 0.542870 | + | 0.370122i | ||||
\(741\) | −44.7559 | − | 27.1829i | −1.64415 | − | 0.998590i | ||||
\(742\) | −27.2869 | + | 36.4885i | −1.00173 | + | 1.33954i | ||||
\(743\) | −34.2493 | − | 23.3508i | −1.25648 | − | 0.856657i | −0.262368 | − | 0.964968i | \(-0.584503\pi\) |
−0.994117 | + | 0.108311i | \(0.965456\pi\) | |||||||
\(744\) | −2.77211 | − | 9.75093i | −0.101631 | − | 0.357487i | ||||
\(745\) | 11.7452 | + | 5.65619i | 0.430311 | + | 0.207227i | ||||
\(746\) | 15.7009 | − | 40.0052i | 0.574850 | − | 1.46469i | ||||
\(747\) | −27.4418 | − | 14.7511i | −1.00404 | − | 0.539716i | ||||
\(748\) | 3.34339 | + | 4.19248i | 0.122246 | + | 0.153292i | ||||
\(749\) | −3.06107 | + | 15.6376i | −0.111849 | + | 0.571387i | ||||
\(750\) | 13.2221 | + | 3.32852i | 0.482804 | + | 0.121541i | ||||
\(751\) | −3.93249 | − | 1.89379i | −0.143499 | − | 0.0691053i | 0.360756 | − | 0.932660i | \(-0.382519\pi\) |
−0.504255 | + | 0.863555i | \(0.668233\pi\) | |||||||
\(752\) | −88.2594 | − | 27.2244i | −3.21849 | − | 0.992772i | ||||
\(753\) | −29.0242 | − | 2.82465i | −1.05770 | − | 0.102936i | ||||
\(754\) | −5.46055 | − | 9.45794i | −0.198861 | − | 0.344438i | ||||
\(755\) | −13.9128 | − | 60.9558i | −0.506337 | − | 2.21841i | ||||
\(756\) | 67.0815 | + | 17.8416i | 2.43973 | + | 0.648892i | ||||
\(757\) | −0.701271 | + | 3.07247i | −0.0254881 | + | 0.111671i | −0.986072 | − | 0.166320i | \(-0.946811\pi\) |
0.960584 | + | 0.277991i | \(0.0896686\pi\) | |||||||
\(758\) | −25.0749 | + | 7.73459i | −0.910762 | + | 0.280933i | ||||
\(759\) | 1.53083 | − | 1.57804i | 0.0555657 | − | 0.0572794i | ||||
\(760\) | −52.8086 | − | 134.554i | −1.91557 | − | 4.88079i | ||||
\(761\) | 2.76571 | − | 12.1174i | 0.100257 | − | 0.439254i | −0.899739 | − | 0.436428i | \(-0.856243\pi\) |
0.999996 | − | 0.00282597i | \(-0.000899536\pi\) | |||||||
\(762\) | 17.7650 | − | 3.64157i | 0.643558 | − | 0.131920i | ||||
\(763\) | 7.56107 | − | 5.50701i | 0.273729 | − | 0.199367i | ||||
\(764\) | −14.5008 | − | 63.5321i | −0.524620 | − | 2.29851i | ||||
\(765\) | −13.6404 | − | 39.8790i | −0.493169 | − | 1.44183i | ||||
\(766\) | 20.3417 | + | 35.2328i | 0.734975 | + | 1.27301i | ||||
\(767\) | −15.1410 | − | 66.3371i | −0.546710 | − | 2.39529i | ||||
\(768\) | −1.85373 | + | 1.01603i | −0.0668908 | + | 0.0366629i | ||||
\(769\) | −26.7305 | − | 4.02897i | −0.963926 | − | 0.145288i | −0.351823 | − | 0.936067i | \(-0.614438\pi\) |
−0.612103 | + | 0.790778i | \(0.709676\pi\) | |||||||
\(770\) | −4.70783 | + | 0.860054i | −0.169658 | + | 0.0309942i | ||||
\(771\) | 0.122721 | + | 0.188881i | 0.00441969 | + | 0.00680237i | ||||
\(772\) | −41.0598 | + | 38.0979i | −1.47777 | + | 1.37117i | ||||
\(773\) | 13.4036 | − | 34.1518i | 0.482094 | − | 1.22836i | −0.458461 | − | 0.888714i | \(-0.651599\pi\) |
0.940555 | − | 0.339641i | \(-0.110305\pi\) | |||||||
\(774\) | 48.8733 | + | 36.6036i | 1.75671 | + | 1.31569i | ||||
\(775\) | −1.05980 | − | 2.70032i | −0.0380691 | − | 0.0969984i | ||||
\(776\) | −9.41653 | + | 125.655i | −0.338034 | + | 4.51075i | ||||
\(777\) | −4.70345 | − | 2.66014i | −0.168735 | − | 0.0954320i | ||||
\(778\) | −0.911928 | − | 12.1688i | −0.0326942 | − | 0.436274i | ||||
\(779\) | 8.71391 | − | 4.19640i | 0.312208 | − | 0.150352i | ||||
\(780\) | 42.1580 | − | 126.616i | 1.50950 | − | 4.53357i | ||||
\(781\) | 2.48722 | − | 1.19778i | 0.0889997 | − | 0.0428600i | ||||
\(782\) | −68.7198 | + | 10.3578i | −2.45742 | + | 0.370396i | ||||
\(783\) | 3.05899 | − | 2.88511i | 0.109319 | − | 0.103105i | ||||
\(784\) | −69.5772 | + | 39.0088i | −2.48490 | + | 1.39317i | ||||
\(785\) | 23.7852 | − | 41.1972i | 0.848930 | − | 1.47039i | ||||
\(786\) | 31.4054 | − | 61.6709i | 1.12019 | − | 2.19973i | ||||
\(787\) | −0.980458 | + | 13.0833i | −0.0349495 | + | 0.466369i | 0.952082 | + | 0.305843i | \(0.0989382\pi\) |
−0.987032 | + | 0.160526i | \(0.948681\pi\) | |||||||
\(788\) | −58.1506 | − | 53.9558i | −2.07153 | − | 1.92210i | ||||
\(789\) | 3.36343 | − | 1.23455i | 0.119741 | − | 0.0439512i | ||||
\(790\) | −82.4934 | + | 56.2431i | −2.93498 | + | 2.00104i | ||||
\(791\) | 10.0579 | + | 8.76651i | 0.357617 | + | 0.311701i | ||||
\(792\) | −5.33364 | + | 1.38903i | −0.189523 | + | 0.0493571i | ||||
\(793\) | 1.02457 | + | 2.61055i | 0.0363834 | + | 0.0927034i | ||||
\(794\) | −31.1402 | − | 14.9963i | −1.10512 | − | 0.532200i | ||||
\(795\) | −15.3049 | + | 30.0543i | −0.542810 | + | 1.06592i | ||||
\(796\) | −7.36539 | − | 32.2699i | −0.261059 | − | 1.14378i | ||||
\(797\) | −7.59481 | + | 19.3513i | −0.269022 | + | 0.685457i | 0.730973 | + | 0.682406i | \(0.239066\pi\) |
−0.999995 | + | 0.00305065i | \(0.999029\pi\) | |||||||
\(798\) | 31.9754 | + | 64.9168i | 1.13192 | + | 2.29803i | ||||
\(799\) | −13.8581 | − | 35.3098i | −0.490264 | − | 1.24917i | ||||
\(800\) | 46.6232 | − | 31.7872i | 1.64838 | − | 1.12385i | ||||
\(801\) | −9.38632 | − | 5.04555i | −0.331649 | − | 0.178276i | ||||
\(802\) | 15.1627 | + | 26.2626i | 0.535413 | + | 0.927363i | ||||
\(803\) | −1.07140 | − | 1.85573i | −0.0378090 | − | 0.0654872i | ||||
\(804\) | −17.3808 | + | 13.2400i | −0.612974 | + | 0.466938i | ||||
\(805\) | 14.9369 | − | 41.8391i | 0.526458 | − | 1.47463i | ||||
\(806\) | 9.32351 | − | 2.87592i | 0.328407 | − | 0.101300i | ||||
\(807\) | −13.2402 | + | 2.71404i | −0.466076 | + | 0.0955388i | ||||
\(808\) | −60.4889 | + | 75.8507i | −2.12799 | + | 2.66842i | ||||
\(809\) | −11.2889 | − | 1.70153i | −0.396898 | − | 0.0598228i | −0.0524391 | − | 0.998624i | \(-0.516700\pi\) |
−0.344459 | + | 0.938801i | \(0.611938\pi\) | |||||||
\(810\) | 71.4516 | + | 6.36593i | 2.51055 | + | 0.223676i | ||||
\(811\) | 0.558565 | − | 2.44723i | 0.0196139 | − | 0.0859340i | −0.964174 | − | 0.265272i | \(-0.914538\pi\) |
0.983788 | + | 0.179338i | \(0.0573955\pi\) | |||||||
\(812\) | −0.472326 | + | 10.8000i | −0.0165754 | + | 0.379005i | ||||
\(813\) | 10.2343 | + | 4.28141i | 0.358934 | + | 0.150155i | ||||
\(814\) | 0.710483 | 0.0249024 | ||||||||
\(815\) | 28.6647 | − | 49.6487i | 1.00408 | − | 1.73912i | ||||
\(816\) | 85.2102 | + | 35.6466i | 2.98295 | + | 1.24788i | ||||
\(817\) | 3.40737 | + | 45.4682i | 0.119209 | + | 1.59073i | ||||
\(818\) | 28.9378 | − | 36.2868i | 1.01179 | − | 1.26874i | ||||
\(819\) | −9.50146 | + | 39.2107i | −0.332008 | + | 1.37013i | ||||
\(820\) | 15.3680 | + | 19.2708i | 0.536673 | + | 0.672967i | ||||
\(821\) | 21.3798 | − | 19.8376i | 0.746161 | − | 0.692336i | −0.212413 | − | 0.977180i | \(-0.568132\pi\) |
0.958574 | + | 0.284844i | \(0.0919417\pi\) | |||||||
\(822\) | −5.19069 | + | 10.1930i | −0.181046 | + | 0.355521i | ||||
\(823\) | −37.9456 | + | 25.8709i | −1.32270 | + | 0.901803i | −0.999016 | − | 0.0443613i | \(-0.985875\pi\) |
−0.323687 | + | 0.946164i | \(0.604922\pi\) | |||||||
\(824\) | −56.0401 | + | 70.2720i | −1.95225 | + | 2.44804i | ||||
\(825\) | −1.48057 | + | 0.543446i | −0.0515469 | + | 0.0189204i | ||||
\(826\) | −31.6159 | + | 88.5575i | −1.10006 | + | 3.08131i | ||||
\(827\) | −23.1593 | − | 11.1529i | −0.805328 | − | 0.387826i | −0.0145239 | − | 0.999895i | \(-0.504623\pi\) |
−0.790805 | + | 0.612069i | \(0.790338\pi\) | |||||||
\(828\) | 22.5025 | − | 81.6795i | 0.782018 | − | 2.83856i | ||||
\(829\) | 26.0924 | − | 8.04843i | 0.906226 | − | 0.279534i | 0.193602 | − | 0.981080i | \(-0.437983\pi\) |
0.712624 | + | 0.701546i | \(0.247507\pi\) | |||||||
\(830\) | 74.5771 | − | 35.9144i | 2.58861 | − | 1.24661i | ||||
\(831\) | 1.78154 | + | 2.74198i | 0.0618009 | + | 0.0951182i | ||||
\(832\) | 36.9758 | + | 64.0439i | 1.28190 | + | 2.22032i | ||||
\(833\) | −30.3409 | − | 12.3518i | −1.05125 | − | 0.427963i | ||||
\(834\) | −35.3315 | + | 49.4261i | −1.22343 | + | 1.71148i | ||||
\(835\) | −6.17144 | + | 15.7246i | −0.213572 | + | 0.544172i | ||||
\(836\) | −5.63096 | − | 3.83912i | −0.194751 | − | 0.132779i | ||||
\(837\) | 1.90482 | + | 3.23797i | 0.0658402 | + | 0.111921i | ||||
\(838\) | −2.50532 | + | 33.4312i | −0.0865449 | + | 1.15486i | ||||
\(839\) | 10.4903 | − | 7.15220i | 0.362167 | − | 0.246921i | −0.368541 | − | 0.929612i | \(-0.620143\pi\) |
0.730708 | + | 0.682690i | \(0.239190\pi\) | |||||||
\(840\) | −86.4524 | + | 70.2082i | −2.98289 | + | 2.42241i | ||||
\(841\) | −23.4199 | − | 15.9674i | −0.807581 | − | 0.550599i | ||||
\(842\) | −51.2511 | + | 64.2668i | −1.76623 | + | 2.21478i | ||||
\(843\) | 19.0201 | − | 10.4249i | 0.655088 | − | 0.359054i | ||||
\(844\) | −71.7362 | − | 89.9543i | −2.46926 | − | 3.09635i | ||||
\(845\) | 36.8264 | + | 11.3595i | 1.26687 | + | 0.390777i | ||||
\(846\) | 64.4963 | + | 2.86745i | 2.21743 | + | 0.0985849i | ||||
\(847\) | 20.6115 | − | 20.3532i | 0.708220 | − | 0.699344i | ||||
\(848\) | −27.0033 | − | 68.8032i | −0.927296 | − | 2.36271i | ||||
\(849\) | 16.7969 | − | 9.20638i | 0.576467 | − | 0.315962i | ||||
\(850\) | 47.6387 | + | 14.6946i | 1.63400 | + | 0.504021i | ||||
\(851\) | −3.29766 | + | 5.71172i | −0.113042 | + | 0.195795i | ||||
\(852\) | 61.8643 | − | 86.5434i | 2.11944 | − | 2.96493i | ||||
\(853\) | 36.1510 | + | 11.1511i | 1.23779 | + | 0.381807i | 0.843474 | − | 0.537169i | \(-0.180506\pi\) |
0.394313 | + | 0.918976i | \(0.370983\pi\) | |||||||
\(854\) | 0.744508 | − | 3.80336i | 0.0254765 | − | 0.130148i | ||||
\(855\) | 31.5048 | + | 43.3217i | 1.07744 | + | 1.48157i | ||||
\(856\) | −35.7404 | − | 33.1623i | −1.22158 | − | 1.13346i | ||||
\(857\) | 12.9044 | − | 16.1816i | 0.440805 | − | 0.552752i | −0.510950 | − | 0.859610i | \(-0.670706\pi\) |
0.951755 | + | 0.306858i | \(0.0992778\pi\) | |||||||
\(858\) | −1.45062 | − | 5.10257i | −0.0495233 | − | 0.174199i | ||||
\(859\) | −7.24756 | + | 31.7537i | −0.247284 | + | 1.08342i | 0.686935 | + | 0.726719i | \(0.258956\pi\) |
−0.934218 | + | 0.356702i | \(0.883901\pi\) | |||||||
\(860\) | −111.038 | + | 34.2507i | −3.78636 | + | 1.16794i | ||||
\(861\) | −5.11685 | − | 5.41738i | −0.174382 | − | 0.184624i | ||||
\(862\) | 91.6628 | + | 28.2742i | 3.12205 | + | 0.963024i | ||||
\(863\) | −17.4734 | + | 30.2648i | −0.594800 | + | 1.03022i | 0.398775 | + | 0.917049i | \(0.369435\pi\) |
−0.993575 | + | 0.113175i | \(0.963898\pi\) | |||||||
\(864\) | −53.1618 | + | 50.1399i | −1.80860 | + | 1.70579i | ||||
\(865\) | 5.10538 | − | 4.73710i | 0.173588 | − | 0.161066i | ||||
\(866\) | −1.68962 | − | 22.5464i | −0.0574157 | − | 0.766159i | ||||
\(867\) | 2.32120 | + | 8.16483i | 0.0788319 | + | 0.277292i | ||||
\(868\) | −9.31297 | − | 2.55846i | −0.316103 | − | 0.0868396i | ||||
\(869\) | −1.03858 | + | 2.64626i | −0.0352314 | + | 0.0897682i | ||||
\(870\) | 1.41927 | + | 11.0812i | 0.0481176 | + | 0.375689i | ||||
\(871\) | −7.91801 | − | 9.92887i | −0.268291 | − | 0.336427i | ||||
\(872\) | 2.13885 | + | 28.5410i | 0.0724308 | + | 0.966521i | ||||
\(873\) | −8.35855 | − | 45.9417i | −0.282894 | − | 1.55489i | ||||
\(874\) | 79.5773 | − | 38.3224i | 2.69174 | − | 1.29627i | ||||
\(875\) | 5.58178 | − | 5.51182i | 0.188699 | − | 0.186333i | ||||
\(876\) | −70.5765 | − | 42.8653i | −2.38456 | − | 1.44829i | ||||
\(877\) | −14.6460 | + | 7.05313i | −0.494559 | + | 0.238167i | −0.664502 | − | 0.747287i | \(-0.731356\pi\) |
0.169942 | + | 0.985454i | \(0.445642\pi\) | |||||||
\(878\) | 5.90021 | + | 5.47459i | 0.199122 | + | 0.184759i | ||||
\(879\) | −11.5834 | − | 9.66609i | −0.390698 | − | 0.326029i | ||||
\(880\) | 2.83631 | − | 7.22680i | 0.0956119 | − | 0.243615i | ||||
\(881\) | 23.8055 | 0.802028 | 0.401014 | − | 0.916072i | \(-0.368658\pi\) | ||||
0.401014 | + | 0.916072i | \(0.368658\pi\) | |||||||
\(882\) | 40.1917 | − | 38.6430i | 1.35332 | − | 1.30118i | ||||
\(883\) | 25.6241 | 0.862319 | 0.431159 | − | 0.902276i | \(-0.358105\pi\) | ||||
0.431159 | + | 0.902276i | \(0.358105\pi\) | |||||||
\(884\) | −43.8799 | + | 111.804i | −1.47584 | + | 3.76038i | ||||
\(885\) | −11.9004 | + | 68.5800i | −0.400027 | + | 2.30529i | ||||
\(886\) | 2.35198 | + | 2.18232i | 0.0790162 | + | 0.0733164i | ||||
\(887\) | 24.4245 | − | 11.7622i | 0.820093 | − | 0.394936i | 0.0237027 | − | 0.999719i | \(-0.492454\pi\) |
0.796390 | + | 0.604783i | \(0.206740\pi\) | |||||||
\(888\) | 14.4988 | − | 7.94678i | 0.486546 | − | 0.266676i | ||||
\(889\) | 3.50796 | − | 9.82596i | 0.117653 | − | 0.329552i | ||||
\(890\) | 25.5087 | − | 12.2843i | 0.855054 | − | 0.411772i | ||||
\(891\) | 1.78302 | − | 0.996267i | 0.0597333 | − | 0.0333762i | ||||
\(892\) | −3.34739 | − | 44.6678i | −0.112079 | − | 1.49559i | ||||
\(893\) | 30.0576 | + | 37.6910i | 1.00584 | + | 1.26128i | ||||
\(894\) | 15.8852 | − | 12.1007i | 0.531281 | − | 0.404707i | ||||
\(895\) | 18.0791 | − | 46.0648i | 0.604317 | − | 1.53978i | ||||
\(896\) | 1.21375 | − | 27.7531i | 0.0405486 | − | 0.927165i | ||||
\(897\) | 47.7536 | + | 12.0214i | 1.59445 | + | 0.401384i | ||||
\(898\) | −4.83772 | − | 64.5549i | −0.161437 | − | 2.15423i | ||||
\(899\) | −0.428879 | + | 0.397941i | −0.0143039 | + | 0.0132721i | ||||
\(900\) | −39.9666 | + | 45.7870i | −1.33222 | + | 1.52623i | ||||
\(901\) | 15.1773 | − | 26.2879i | 0.505631 | − | 0.875778i | ||||
\(902\) | 0.936266 | + | 0.288800i | 0.0311742 | + | 0.00961598i | ||||
\(903\) | 32.5868 | − | 13.1245i | 1.08442 | − | 0.436755i | ||||
\(904\) | −39.0102 | + | 12.0331i | −1.29746 | + | 0.400214i | ||||
\(905\) | 9.45739 | − | 41.4356i | 0.314374 | − | 1.37736i | ||||
\(906\) | −92.8769 | − | 23.3807i | −3.08563 | − | 0.776772i | ||||
\(907\) | 11.6698 | − | 14.6335i | 0.387489 | − | 0.485896i | −0.549382 | − | 0.835571i | \(-0.685137\pi\) |
0.936871 | + | 0.349676i | \(0.113708\pi\) | |||||||
\(908\) | 63.1099 | + | 58.5574i | 2.09437 | + | 1.94330i | ||||
\(909\) | 14.6084 | − | 32.8508i | 0.484531 | − | 1.08959i | ||||
\(910\) | −69.4058 | − | 81.6873i | −2.30078 | − | 2.70791i | ||||
\(911\) | 24.1381 | + | 7.44560i | 0.799729 | + | 0.246684i | 0.667572 | − | 0.744545i | \(-0.267333\pi\) |
0.132157 | + | 0.991229i | \(0.457810\pi\) | |||||||
\(912\) | −116.838 | − | 11.3707i | −3.86889 | − | 0.376522i | ||||
\(913\) | 1.17840 | − | 2.04105i | 0.0389994 | − | 0.0675490i | ||||
\(914\) | 2.33987 | + | 0.721754i | 0.0773960 | + | 0.0238735i | ||||
\(915\) | 0.0637245 | − | 2.86807i | 0.00210667 | − | 0.0948155i | ||||
\(916\) | 14.6835 | + | 37.4128i | 0.485155 | + | 1.23616i | ||||
\(917\) | −20.9710 | − | 33.8471i | −0.692524 | − | 1.11773i | ||||
\(918\) | −63.9174 | − | 9.10155i | −2.10959 | − | 0.300396i | ||||
\(919\) | −43.2373 | − | 13.3369i | −1.42627 | − | 0.439945i | −0.516937 | − | 0.856023i | \(-0.672928\pi\) |
−0.909329 | + | 0.416078i | \(0.863404\pi\) | |||||||
\(920\) | 84.7521 | + | 106.276i | 2.79419 | + | 3.50381i | ||||
\(921\) | −14.5957 | − | 8.86484i | −0.480944 | − | 0.292106i | ||||
\(922\) | −17.5842 | + | 22.0498i | −0.579104 | + | 0.726173i | ||||
\(923\) | 51.0881 | + | 34.8313i | 1.68159 | + | 1.14649i | ||||
\(924\) | −1.50313 | + | 5.03120i | −0.0494494 | + | 0.165514i | ||||
\(925\) | 3.90912 | − | 2.66519i | 0.128531 | − | 0.0876309i | ||||
\(926\) | −4.15853 | + | 55.4918i | −0.136658 | + | 1.82357i | ||||
\(927\) | 13.5340 | − | 30.4347i | 0.444515 | − | 0.999608i | ||||
\(928\) | −9.40323 | − | 6.41101i | −0.308676 | − | 0.210452i | ||||
\(929\) | −4.15331 | + | 10.5825i | −0.136266 | + | 0.347199i | −0.982676 | − | 0.185332i | \(-0.940664\pi\) |
0.846410 | + | 0.532531i | \(0.178759\pi\) | |||||||
\(930\) | −9.93400 | − | 0.966780i | −0.325749 | − | 0.0317020i | ||||
\(931\) | 41.4749 | + | 3.63468i | 1.35929 | + | 0.119122i | ||||
\(932\) | −53.7852 | − | 93.1587i | −1.76179 | − | 3.05151i | ||||
\(933\) | −33.3080 | + | 1.75311i | −1.09045 | + | 0.0573943i | ||||
\(934\) | −0.0773434 | + | 0.0372466i | −0.00253075 | + | 0.00121875i | ||||
\(935\) | 3.04668 | − | 0.939776i | 0.0996371 | − | 0.0307340i | ||||
\(936\) | −86.6750 | − | 87.9023i | −2.83306 | − | 2.87318i | ||||
\(937\) | 39.7615 | + | 19.1481i | 1.29895 | + | 0.625542i | 0.950190 | − | 0.311670i | \(-0.100888\pi\) |
0.348760 | + | 0.937212i | \(0.386603\pi\) | |||||||
\(938\) | 1.85496 | + | 17.4517i | 0.0605667 | + | 0.569819i | ||||
\(939\) | 19.2830 | + | 16.0913i | 0.629278 | + | 0.525119i | ||||
\(940\) | −76.6016 | + | 96.0554i | −2.49847 | + | 3.13298i | ||||
\(941\) | 15.2304 | − | 10.3839i | 0.496497 | − | 0.338506i | −0.289043 | − | 0.957316i | \(-0.593337\pi\) |
0.785541 | + | 0.618810i | \(0.212385\pi\) | |||||||
\(942\) | −39.7012 | − | 61.1044i | −1.29354 | − | 1.99089i | ||||
\(943\) | −6.66735 | + | 6.18639i | −0.217119 | + | 0.201457i | ||||
\(944\) | −95.1066 | − | 119.260i | −3.09545 | − | 3.88158i | ||||
\(945\) | 24.4464 | − | 33.2522i | 0.795242 | − | 1.08169i | ||||
\(946\) | −2.87995 | + | 3.61134i | −0.0936353 | + | 0.117415i | ||||
\(947\) | 3.36746 | + | 44.9357i | 0.109428 | + | 1.46021i | 0.733949 | + | 0.679205i | \(0.237675\pi\) |
−0.624521 | + | 0.781008i | \(0.714706\pi\) | |||||||
\(948\) | 13.9170 | + | 108.660i | 0.452002 | + | 3.52911i | ||||
\(949\) | 23.9974 | − | 41.5647i | 0.778988 | − | 1.34925i | ||||
\(950\) | −63.3601 | −2.05567 | ||||||||
\(951\) | −15.0864 | + | 11.4922i | −0.489209 | + | 0.372659i | ||||
\(952\) | 81.0221 | − | 59.0114i | 2.62594 | − | 1.91257i | ||||
\(953\) | −9.69240 | + | 42.4652i | −0.313968 | + | 1.37558i | 0.533978 | + | 0.845498i | \(0.320697\pi\) |
−0.847946 | + | 0.530083i | \(0.822161\pi\) | |||||||
\(954\) | 30.3859 | + | 41.7830i | 0.983779 | + | 1.35277i | ||||
\(955\) | −38.3132 | − | 5.77479i | −1.23979 | − | 0.186868i | ||||
\(956\) | −41.3455 | + | 51.8456i | −1.33721 | + | 1.67681i | ||||
\(957\) | 0.211123 | + | 0.237925i | 0.00682464 | + | 0.00769101i | ||||
\(958\) | −15.9877 | + | 4.93154i | −0.516538 | + | 0.159331i | ||||
\(959\) | 3.46609 | + | 5.59426i | 0.111926 | + | 0.180648i | ||||
\(960\) | −9.61048 | − | 75.0360i | −0.310177 | − | 2.42178i | ||||
\(961\) | 15.2387 | + | 26.3941i | 0.491569 | + | 0.851423i | ||||
\(962\) | 7.95672 | + | 13.7814i | 0.256535 | + | 0.444331i | ||||
\(963\) | 15.9144 | + | 8.55467i | 0.512834 | + | 0.275670i | ||||
\(964\) | 75.2027 | − | 51.2723i | 2.42212 | − | 1.65137i | ||||
\(965\) | 12.1671 | + | 31.0012i | 0.391672 | + | 0.997963i | ||||
\(966\) | −46.7281 | − | 49.4726i | −1.50345 | − | 1.59176i | ||||
\(967\) | 8.68003 | − | 22.1164i | 0.279131 | − | 0.711214i | −0.720707 | − | 0.693239i | \(-0.756183\pi\) |
0.999838 | − | 0.0179750i | \(-0.00572192\pi\) | |||||||
\(968\) | 19.7226 | + | 86.4102i | 0.633907 | + | 2.77733i | ||||
\(969\) | −26.2663 | − | 40.4266i | −0.843794 | − | 1.29869i | ||||
\(970\) | 111.777 | + | 53.8291i | 3.58895 | + | 1.72835i | ||||
\(971\) | −5.93819 | − | 15.1303i | −0.190566 | − | 0.485553i | 0.803375 | − | 0.595474i | \(-0.203036\pi\) |
−0.993940 | + | 0.109920i | \(0.964940\pi\) | |||||||
\(972\) | 41.8000 | − | 66.6907i | 1.34074 | − | 2.13911i | ||||
\(973\) | 13.7759 | + | 32.1259i | 0.441634 | + | 1.02991i | ||||
\(974\) | −22.4956 | + | 15.3372i | −0.720804 | + | 0.491436i | ||||
\(975\) | −27.1223 | − | 22.6330i | −0.868610 | − | 0.724835i | ||||
\(976\) | 4.60865 | + | 4.27620i | 0.147519 | + | 0.136878i | ||||
\(977\) | −0.694169 | + | 9.26304i | −0.0222084 | + | 0.296351i | 0.975029 | + | 0.222076i | \(0.0712833\pi\) |
−0.997238 | + | 0.0742750i | \(0.976336\pi\) | |||||||
\(978\) | −47.8459 | − | 73.6399i | −1.52994 | − | 2.35475i | ||||
\(979\) | 0.403067 | − | 0.698132i | 0.0128821 | − | 0.0223124i | ||||
\(980\) | 14.4895 | + | 105.110i | 0.462849 | + | 3.35761i | ||||
\(981\) | −3.43261 | − | 10.0356i | −0.109595 | − | 0.320412i | ||||
\(982\) | 72.9065 | − | 10.9889i | 2.32654 | − | 0.350669i | ||||
\(983\) | −4.83771 | + | 2.32972i | −0.154299 | + | 0.0743065i | −0.509440 | − | 0.860506i | \(-0.670147\pi\) |
0.355141 | + | 0.934813i | \(0.384433\pi\) | |||||||
\(984\) | 22.3365 | − | 4.57866i | 0.712062 | − | 0.145962i | ||||
\(985\) | −42.4947 | + | 20.4644i | −1.35399 | + | 0.652049i | ||||
\(986\) | −0.751393 | − | 10.0266i | −0.0239292 | − | 0.319313i | ||||
\(987\) | 20.6505 | − | 30.8741i | 0.657312 | − | 0.982734i | ||||
\(988\) | 11.4073 | − | 152.220i | 0.362914 | − | 4.84275i | ||||
\(989\) | −15.6652 | − | 39.9144i | −0.498125 | − | 1.26920i | ||||
\(990\) | −0.645470 | + | 5.38799i | −0.0205144 | + | 0.171242i | ||||
\(991\) | −13.4633 | + | 34.3038i | −0.427675 | + | 1.08970i | 0.540925 | + | 0.841071i | \(0.318074\pi\) |
−0.968599 | + | 0.248626i | \(0.920021\pi\) | |||||||
\(992\) | 7.45342 | − | 6.91577i | 0.236646 | − | 0.219576i | ||||
\(993\) | 11.9482 | − | 23.4627i | 0.379165 | − | 0.744567i | ||||
\(994\) | −33.6757 | − | 78.5331i | −1.06813 | − | 2.49092i | ||||
\(995\) | −19.4604 | − | 2.93319i | −0.616937 | − | 0.0929883i | ||||
\(996\) | 2.01741 | − | 90.7981i | 0.0639240 | − | 2.87705i | ||||
\(997\) | −3.69097 | − | 16.1712i | −0.116894 | − | 0.512146i | −0.999144 | − | 0.0413653i | \(-0.986829\pi\) |
0.882250 | − | 0.470781i | \(-0.156028\pi\) | |||||||
\(998\) | −25.4976 | − | 44.1632i | −0.807114 | − | 1.39796i | ||||
\(999\) | −4.45734 | + | 4.20397i | −0.141024 | + | 0.133008i |
(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 | 441.2.z.a.142.52 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.52 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.52 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.52 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.52 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.52 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.52 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.52 | yes | 648 | 441.382 | even | 21 | inner |