Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 625.27 | ||
Character | \(\chi\) | \(=\) | 637.625 |
Dual form | 637.2.bl.a.53.27 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{16}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.14872 | − | 1.46497i | 1.51938 | − | 1.03589i | 0.538190 | − | 0.842823i | \(-0.319108\pi\) |
0.981185 | − | 0.193069i | \(-0.0618442\pi\) | |||||||
\(3\) | 0.378204 | − | 0.350922i | 0.218356 | − | 0.202605i | −0.563408 | − | 0.826179i | \(-0.690510\pi\) |
0.781765 | + | 0.623573i | \(0.214320\pi\) | |||||||
\(4\) | 1.74017 | − | 4.43389i | 0.870087 | − | 2.21695i | ||||
\(5\) | 0.273927 | + | 0.0844952i | 0.122504 | + | 0.0377874i | 0.355401 | − | 0.934714i | \(-0.384344\pi\) |
−0.232897 | + | 0.972501i | \(0.574821\pi\) | |||||||
\(6\) | 0.298564 | − | 1.30809i | 0.121888 | − | 0.534027i | ||||
\(7\) | 2.61705 | + | 0.388620i | 0.989154 | + | 0.146885i | ||||
\(8\) | −1.59901 | − | 7.00570i | −0.565334 | − | 2.47689i | ||||
\(9\) | −0.204298 | + | 2.72617i | −0.0680994 | + | 0.908724i | ||||
\(10\) | 0.712375 | − | 0.219739i | 0.225273 | − | 0.0694875i | ||||
\(11\) | −0.103468 | − | 1.38068i | −0.0311967 | − | 0.416291i | −0.990837 | − | 0.135062i | \(-0.956877\pi\) |
0.959641 | − | 0.281230i | \(-0.0907423\pi\) | |||||||
\(12\) | −0.897810 | − | 2.28758i | −0.259176 | − | 0.660369i | ||||
\(13\) | 0.900969 | + | 0.433884i | 0.249884 | + | 0.120338i | ||||
\(14\) | 6.19264 | − | 2.99888i | 1.65505 | − | 0.801484i | ||||
\(15\) | 0.133252 | − | 0.0641705i | 0.0344054 | − | 0.0165688i | ||||
\(16\) | −6.71571 | − | 6.23127i | −1.67893 | − | 1.55782i | ||||
\(17\) | −1.96613 | − | 0.296347i | −0.476858 | − | 0.0718747i | −0.0937841 | − | 0.995593i | \(-0.529896\pi\) |
−0.383074 | + | 0.923718i | \(0.625134\pi\) | |||||||
\(18\) | 3.55479 | + | 6.15707i | 0.837871 | + | 1.45124i | ||||
\(19\) | −2.10278 | + | 3.64213i | −0.482412 | + | 0.835562i | −0.999796 | − | 0.0201913i | \(-0.993572\pi\) |
0.517384 | + | 0.855753i | \(0.326906\pi\) | |||||||
\(20\) | 0.851323 | − | 1.06752i | 0.190362 | − | 0.238706i | ||||
\(21\) | 1.12616 | − | 0.771405i | 0.245748 | − | 0.168334i | ||||
\(22\) | −2.24499 | − | 2.81512i | −0.478632 | − | 0.600186i | ||||
\(23\) | −6.82209 | + | 1.02826i | −1.42250 | + | 0.214408i | −0.814794 | − | 0.579751i | \(-0.803150\pi\) |
−0.607710 | + | 0.794159i | \(0.707912\pi\) | |||||||
\(24\) | −3.06321 | − | 2.08846i | −0.625275 | − | 0.426305i | ||||
\(25\) | −4.06330 | − | 2.77031i | −0.812660 | − | 0.554062i | ||||
\(26\) | 2.57156 | − | 0.387600i | 0.504324 | − | 0.0760147i | ||||
\(27\) | 1.84444 | + | 2.31286i | 0.354963 | + | 0.445109i | ||||
\(28\) | 6.27723 | − | 10.9275i | 1.18628 | − | 2.06510i | ||||
\(29\) | −0.519835 | + | 0.651852i | −0.0965309 | + | 0.121046i | −0.827751 | − | 0.561096i | \(-0.810380\pi\) |
0.731220 | + | 0.682142i | \(0.238951\pi\) | |||||||
\(30\) | 0.192312 | − | 0.333095i | 0.0351112 | − | 0.0608145i | ||||
\(31\) | 1.15437 | + | 1.99943i | 0.207331 | + | 0.359108i | 0.950873 | − | 0.309581i | \(-0.100189\pi\) |
−0.743542 | + | 0.668690i | \(0.766856\pi\) | |||||||
\(32\) | −9.34762 | − | 1.40893i | −1.65244 | − | 0.249065i | ||||
\(33\) | −0.523644 | − | 0.485871i | −0.0911547 | − | 0.0845792i | ||||
\(34\) | −4.65882 | + | 2.24357i | −0.798980 | + | 0.384769i | ||||
\(35\) | 0.684044 | + | 0.327582i | 0.115625 | + | 0.0553714i | ||||
\(36\) | 11.7320 | + | 5.64985i | 1.95534 | + | 0.941641i | ||||
\(37\) | −3.10075 | − | 7.90058i | −0.509760 | − | 1.29885i | −0.921794 | − | 0.387679i | \(-0.873277\pi\) |
0.412034 | − | 0.911168i | \(-0.364818\pi\) | |||||||
\(38\) | 0.817325 | + | 10.9064i | 0.132588 | + | 1.76926i | ||||
\(39\) | 0.493010 | − | 0.152073i | 0.0789448 | − | 0.0243512i | ||||
\(40\) | 0.153938 | − | 2.05416i | 0.0243397 | − | 0.324791i | ||||
\(41\) | 2.75943 | + | 12.0899i | 0.430951 | + | 1.88812i | 0.458857 | + | 0.888510i | \(0.348259\pi\) |
−0.0279056 | + | 0.999611i | \(0.508884\pi\) | |||||||
\(42\) | 1.28971 | − | 3.30733i | 0.199006 | − | 0.510331i | ||||
\(43\) | 1.89945 | − | 8.32202i | 0.289663 | − | 1.26910i | −0.595326 | − | 0.803484i | \(-0.702977\pi\) |
0.884989 | − | 0.465612i | \(-0.154166\pi\) | |||||||
\(44\) | −6.30184 | − | 1.94386i | −0.950039 | − | 0.293048i | ||||
\(45\) | −0.286311 | + | 0.729509i | −0.0426807 | + | 0.108749i | ||||
\(46\) | −13.1524 | + | 12.2036i | −1.93921 | + | 1.79933i | ||||
\(47\) | −6.91229 | + | 4.71272i | −1.00826 | + | 0.687420i | −0.950440 | − | 0.310907i | \(-0.899367\pi\) |
−0.0578202 | + | 0.998327i | \(0.518415\pi\) | |||||||
\(48\) | −4.72660 | −0.682226 | ||||||||
\(49\) | 6.69795 | + | 2.03408i | 0.956850 | + | 0.290583i | ||||
\(50\) | −12.7893 | −1.80868 | ||||||||
\(51\) | −0.847596 | + | 0.577881i | −0.118687 | + | 0.0809195i | ||||
\(52\) | 3.49164 | − | 3.23977i | 0.484203 | − | 0.449275i | ||||
\(53\) | −0.798507 | + | 2.03456i | −0.109683 | + | 0.279469i | −0.975168 | − | 0.221467i | \(-0.928915\pi\) |
0.865484 | + | 0.500936i | \(0.167011\pi\) | |||||||
\(54\) | 7.35146 | + | 2.26763i | 1.00041 | + | 0.308585i | ||||
\(55\) | 0.0883184 | − | 0.386948i | 0.0119088 | − | 0.0521761i | ||||
\(56\) | −1.46213 | − | 18.9557i | −0.195385 | − | 2.53306i | ||||
\(57\) | 0.482823 | + | 2.11538i | 0.0639514 | + | 0.280189i | ||||
\(58\) | −0.162034 | + | 2.16219i | −0.0212761 | + | 0.283910i | ||||
\(59\) | 12.8590 | − | 3.96648i | 1.67410 | − | 0.516392i | 0.694869 | − | 0.719136i | \(-0.255462\pi\) |
0.979232 | + | 0.202744i | \(0.0649861\pi\) | |||||||
\(60\) | −0.0526444 | − | 0.702491i | −0.00679636 | − | 0.0906912i | ||||
\(61\) | 0.510446 | + | 1.30059i | 0.0653559 | + | 0.166524i | 0.959821 | − | 0.280615i | \(-0.0905383\pi\) |
−0.894465 | + | 0.447139i | \(0.852443\pi\) | |||||||
\(62\) | 5.40954 | + | 2.60509i | 0.687012 | + | 0.330847i | ||||
\(63\) | −1.59410 | + | 7.05514i | −0.200838 | + | 0.888864i | ||||
\(64\) | −5.64138 | + | 2.71674i | −0.705172 | + | 0.339593i | ||||
\(65\) | 0.210138 | + | 0.194980i | 0.0260644 | + | 0.0241843i | ||||
\(66\) | −1.83695 | − | 0.276876i | −0.226113 | − | 0.0340811i | ||||
\(67\) | 0.370545 | + | 0.641803i | 0.0452693 | + | 0.0784088i | 0.887772 | − | 0.460283i | \(-0.152252\pi\) |
−0.842503 | + | 0.538692i | \(0.818919\pi\) | |||||||
\(68\) | −4.73539 | + | 8.20193i | −0.574250 | + | 0.994630i | ||||
\(69\) | −2.21930 | + | 2.78292i | −0.267173 | + | 0.335024i | ||||
\(70\) | 1.94972 | − | 0.298225i | 0.233036 | − | 0.0356447i | ||||
\(71\) | 5.60020 | + | 7.02243i | 0.664621 | + | 0.833409i | 0.993838 | − | 0.110846i | \(-0.0353560\pi\) |
−0.329216 | + | 0.944254i | \(0.606785\pi\) | |||||||
\(72\) | 19.4254 | − | 2.92791i | 2.28931 | − | 0.345057i | ||||
\(73\) | −6.26868 | − | 4.27391i | −0.733693 | − | 0.500224i | 0.137904 | − | 0.990446i | \(-0.455963\pi\) |
−0.871598 | + | 0.490222i | \(0.836916\pi\) | |||||||
\(74\) | −18.2368 | − | 12.4336i | −2.11998 | − | 1.44538i | ||||
\(75\) | −2.50892 | + | 0.378159i | −0.289705 | + | 0.0436660i | ||||
\(76\) | 12.4896 | + | 15.6615i | 1.43266 | + | 1.79649i | ||||
\(77\) | 0.265780 | − | 3.65353i | 0.0302884 | − | 0.416358i | ||||
\(78\) | 0.836557 | − | 1.04901i | 0.0947215 | − | 0.118777i | ||||
\(79\) | 7.52796 | − | 13.0388i | 0.846961 | − | 1.46698i | −0.0369455 | − | 0.999317i | \(-0.511763\pi\) |
0.883907 | − | 0.467663i | \(-0.154904\pi\) | |||||||
\(80\) | −1.31310 | − | 2.27436i | −0.146809 | − | 0.254281i | ||||
\(81\) | −6.60063 | − | 0.994885i | −0.733404 | − | 0.110543i | ||||
\(82\) | 23.6406 | + | 21.9353i | 2.61067 | + | 2.42235i | ||||
\(83\) | −0.552565 | + | 0.266101i | −0.0606519 | + | 0.0292084i | −0.463964 | − | 0.885854i | \(-0.653573\pi\) |
0.403312 | + | 0.915063i | \(0.367859\pi\) | |||||||
\(84\) | −1.46062 | − | 6.33564i | −0.159367 | − | 0.691275i | ||||
\(85\) | −0.513537 | − | 0.247306i | −0.0557009 | − | 0.0268241i | ||||
\(86\) | −8.11015 | − | 20.6643i | −0.874540 | − | 2.22829i | ||||
\(87\) | 0.0321457 | + | 0.428955i | 0.00344639 | + | 0.0459888i | ||||
\(88\) | −9.50720 | + | 2.93258i | −1.01347 | + | 0.312614i | ||||
\(89\) | 0.621907 | − | 8.29877i | 0.0659220 | − | 0.879668i | −0.862003 | − | 0.506902i | \(-0.830790\pi\) |
0.927925 | − | 0.372766i | \(-0.121591\pi\) | |||||||
\(90\) | 0.453508 | + | 1.98695i | 0.0478039 | + | 0.209443i | ||||
\(91\) | 2.18927 | + | 1.48563i | 0.229498 | + | 0.155737i | ||||
\(92\) | −7.31241 | + | 32.0378i | −0.762372 | + | 3.34017i | ||||
\(93\) | 1.13823 | + | 0.351098i | 0.118029 | + | 0.0364072i | ||||
\(94\) | −7.94857 | + | 20.2526i | −0.819833 | + | 2.08890i | ||||
\(95\) | −0.883751 | + | 0.820001i | −0.0906710 | + | 0.0841304i | ||||
\(96\) | −4.02974 | + | 2.74743i | −0.411283 | + | 0.280408i | ||||
\(97\) | −7.36573 | −0.747877 | −0.373938 | − | 0.927454i | \(-0.621993\pi\) | ||||
−0.373938 | + | 0.927454i | \(0.621993\pi\) | |||||||
\(98\) | 17.3719 | − | 5.44165i | 1.75483 | − | 0.549689i | ||||
\(99\) | 3.78511 | 0.380418 | ||||||||
\(100\) | −19.3541 | + | 13.1954i | −1.93541 | + | 1.31954i | ||||
\(101\) | 1.63096 | − | 1.51331i | 0.162287 | − | 0.150580i | −0.594849 | − | 0.803837i | \(-0.702788\pi\) |
0.757136 | + | 0.653257i | \(0.226598\pi\) | |||||||
\(102\) | −0.974667 | + | 2.48341i | −0.0965064 | + | 0.245894i | ||||
\(103\) | 11.8862 | + | 3.66642i | 1.17119 | + | 0.361263i | 0.818515 | − | 0.574485i | \(-0.194798\pi\) |
0.352670 | + | 0.935748i | \(0.385274\pi\) | |||||||
\(104\) | 1.59901 | − | 7.00570i | 0.156795 | − | 0.686965i | ||||
\(105\) | 0.373664 | − | 0.116154i | 0.0364659 | − | 0.0113354i | ||||
\(106\) | 1.26481 | + | 5.54150i | 0.122849 | + | 0.538238i | ||||
\(107\) | −1.23172 | + | 16.4361i | −0.119075 | + | 1.58894i | 0.543150 | + | 0.839636i | \(0.317232\pi\) |
−0.662224 | + | 0.749306i | \(0.730387\pi\) | |||||||
\(108\) | 13.4646 | − | 4.15328i | 1.29563 | − | 0.399650i | ||||
\(109\) | −0.518188 | − | 6.91473i | −0.0496334 | − | 0.662311i | −0.965429 | − | 0.260667i | \(-0.916058\pi\) |
0.915796 | − | 0.401645i | \(-0.131561\pi\) | |||||||
\(110\) | −0.377097 | − | 0.960827i | −0.0359548 | − | 0.0916113i | ||||
\(111\) | −3.94521 | − | 1.89991i | −0.374463 | − | 0.180332i | ||||
\(112\) | −15.1538 | − | 18.9174i | −1.43190 | − | 1.78753i | ||||
\(113\) | 4.49695 | − | 2.16562i | 0.423038 | − | 0.203724i | −0.210238 | − | 0.977650i | \(-0.567424\pi\) |
0.633276 | + | 0.773926i | \(0.281710\pi\) | |||||||
\(114\) | 4.13643 | + | 3.83805i | 0.387412 | + | 0.359466i | ||||
\(115\) | −1.95564 | − | 0.294765i | −0.182364 | − | 0.0274869i | ||||
\(116\) | 1.98564 | + | 3.43923i | 0.184362 | + | 0.319324i | ||||
\(117\) | −1.36691 | + | 2.36755i | −0.126371 | + | 0.218880i | ||||
\(118\) | 21.8196 | − | 27.3610i | 2.00866 | − | 2.51878i | ||||
\(119\) | −5.03032 | − | 1.53964i | −0.461128 | − | 0.141138i | ||||
\(120\) | −0.662630 | − | 0.830911i | −0.0604895 | − | 0.0758515i | ||||
\(121\) | 8.98156 | − | 1.35375i | 0.816506 | − | 0.123068i | ||||
\(122\) | 3.00214 | + | 2.04683i | 0.271801 | + | 0.185311i | ||||
\(123\) | 5.28624 | + | 3.60410i | 0.476644 | + | 0.324970i | ||||
\(124\) | 10.8741 | − | 1.63900i | 0.976520 | − | 0.147187i | ||||
\(125\) | −1.77262 | − | 2.22280i | −0.158548 | − | 0.198813i | ||||
\(126\) | 6.91031 | + | 17.4949i | 0.615619 | + | 1.55857i | ||||
\(127\) | −6.23530 | + | 7.81881i | −0.553293 | + | 0.693808i | −0.977302 | − | 0.211850i | \(-0.932051\pi\) |
0.424009 | + | 0.905658i | \(0.360622\pi\) | |||||||
\(128\) | 1.31142 | − | 2.27144i | 0.115914 | − | 0.200769i | ||||
\(129\) | −2.20200 | − | 3.81398i | −0.193876 | − | 0.335802i | ||||
\(130\) | 0.737169 | + | 0.111110i | 0.0646540 | + | 0.00974502i | ||||
\(131\) | −9.46166 | − | 8.77914i | −0.826669 | − | 0.767037i | 0.148403 | − | 0.988927i | \(-0.452587\pi\) |
−0.975072 | + | 0.221890i | \(0.928777\pi\) | |||||||
\(132\) | −3.06553 | + | 1.47628i | −0.266820 | + | 0.128494i | ||||
\(133\) | −6.91851 | + | 8.71447i | −0.599911 | + | 0.755640i | ||||
\(134\) | 1.73642 | + | 0.836218i | 0.150004 | + | 0.0722382i | ||||
\(135\) | 0.309816 | + | 0.789399i | 0.0266648 | + | 0.0679407i | ||||
\(136\) | 1.06774 | + | 14.2480i | 0.0915580 | + | 1.22176i | ||||
\(137\) | −5.58050 | + | 1.72136i | −0.476774 | + | 0.147065i | −0.523823 | − | 0.851827i | \(-0.675495\pi\) |
0.0470485 | + | 0.998893i | \(0.485018\pi\) | |||||||
\(138\) | −0.691763 | + | 9.23094i | −0.0588868 | + | 0.785790i | ||||
\(139\) | −1.81108 | − | 7.93485i | −0.153614 | − | 0.673025i | −0.991817 | − | 0.127668i | \(-0.959251\pi\) |
0.838203 | − | 0.545358i | \(-0.183606\pi\) | |||||||
\(140\) | 2.64282 | − | 2.46293i | 0.223359 | − | 0.208156i | ||||
\(141\) | −0.960459 | + | 4.20805i | −0.0808853 | + | 0.354381i | ||||
\(142\) | 22.3209 | + | 6.88510i | 1.87313 | + | 0.577784i | ||||
\(143\) | 0.505834 | − | 1.28884i | 0.0423000 | − | 0.107779i | ||||
\(144\) | 18.3595 | − | 17.0351i | 1.52996 | − | 1.41959i | ||||
\(145\) | −0.197475 | + | 0.134636i | −0.0163994 | + | 0.0111809i | ||||
\(146\) | −19.7308 | −1.63293 | ||||||||
\(147\) | 3.24700 | − | 1.58116i | 0.267808 | − | 0.130412i | ||||
\(148\) | −40.4262 | −3.32301 | ||||||||
\(149\) | 8.94195 | − | 6.09652i | 0.732553 | − | 0.499446i | −0.138667 | − | 0.990339i | \(-0.544282\pi\) |
0.871220 | + | 0.490893i | \(0.163329\pi\) | |||||||
\(150\) | −4.83698 | + | 4.48806i | −0.394938 | + | 0.366449i | ||||
\(151\) | −5.39459 | + | 13.7452i | −0.439006 | + | 1.11857i | 0.524626 | + | 0.851333i | \(0.324205\pi\) |
−0.963631 | + | 0.267235i | \(0.913890\pi\) | |||||||
\(152\) | 28.8780 | + | 8.90769i | 2.34232 | + | 0.722509i | ||||
\(153\) | 1.20957 | − | 5.29947i | 0.0977880 | − | 0.428437i | ||||
\(154\) | −4.78124 | − | 8.23977i | −0.385283 | − | 0.663980i | ||||
\(155\) | 0.147271 | + | 0.645236i | 0.0118291 | + | 0.0518266i | ||||
\(156\) | 0.183646 | − | 2.45059i | 0.0147035 | − | 0.196204i | ||||
\(157\) | −6.21032 | + | 1.91563i | −0.495638 | + | 0.152884i | −0.532489 | − | 0.846437i | \(-0.678743\pi\) |
0.0368516 | + | 0.999321i | \(0.488267\pi\) | |||||||
\(158\) | −2.92602 | − | 39.0450i | −0.232782 | − | 3.10625i | ||||
\(159\) | 0.411975 | + | 1.04969i | 0.0326717 | + | 0.0832462i | ||||
\(160\) | −2.44151 | − | 1.17577i | −0.193019 | − | 0.0929529i | ||||
\(161\) | −18.2534 | + | 0.0398246i | −1.43857 | + | 0.00313862i | ||||
\(162\) | −15.6404 | + | 7.53202i | −1.22883 | + | 0.591771i | ||||
\(163\) | −6.63731 | − | 6.15852i | −0.519874 | − | 0.482373i | 0.376038 | − | 0.926604i | \(-0.377286\pi\) |
−0.895912 | + | 0.444232i | \(0.853477\pi\) | |||||||
\(164\) | 58.4071 | + | 8.80345i | 4.56083 | + | 0.687434i | ||||
\(165\) | −0.102386 | − | 0.177338i | −0.00797076 | − | 0.0138058i | ||||
\(166\) | −0.797477 | + | 1.38127i | −0.0618962 | + | 0.107207i | ||||
\(167\) | −3.32039 | + | 4.16364i | −0.256940 | + | 0.322192i | −0.893524 | − | 0.449015i | \(-0.851775\pi\) |
0.636585 | + | 0.771207i | \(0.280347\pi\) | |||||||
\(168\) | −7.20497 | − | 6.65604i | −0.555875 | − | 0.513524i | ||||
\(169\) | 0.623490 | + | 0.781831i | 0.0479608 | + | 0.0601409i | ||||
\(170\) | −1.46574 | + | 0.220925i | −0.112417 | + | 0.0169442i | ||||
\(171\) | −9.49947 | − | 6.47663i | −0.726443 | − | 0.495280i | ||||
\(172\) | −33.5935 | − | 22.9037i | −2.56148 | − | 1.74639i | ||||
\(173\) | 11.1896 | − | 1.68657i | 0.850732 | − | 0.128227i | 0.290819 | − | 0.956778i | \(-0.406072\pi\) |
0.559914 | + | 0.828551i | \(0.310834\pi\) | |||||||
\(174\) | 0.697480 | + | 0.874612i | 0.0528758 | + | 0.0663042i | ||||
\(175\) | −9.55727 | − | 8.82913i | −0.722462 | − | 0.667419i | ||||
\(176\) | −7.90854 | + | 9.91699i | −0.596128 | + | 0.747521i | ||||
\(177\) | 3.47141 | − | 6.01266i | 0.260927 | − | 0.451939i | ||||
\(178\) | −10.8212 | − | 18.7428i | −0.811082 | − | 1.40483i | ||||
\(179\) | −19.6449 | − | 2.96099i | −1.46833 | − | 0.221314i | −0.634320 | − | 0.773071i | \(-0.718720\pi\) |
−0.834006 | + | 0.551756i | \(0.813958\pi\) | |||||||
\(180\) | 2.73633 | + | 2.53894i | 0.203954 | + | 0.189242i | ||||
\(181\) | −14.6838 | + | 7.07134i | −1.09144 | + | 0.525608i | −0.890956 | − | 0.454089i | \(-0.849965\pi\) |
−0.200481 | + | 0.979698i | \(0.564250\pi\) | |||||||
\(182\) | 6.88054 | − | 0.0150117i | 0.510020 | − | 0.00111274i | ||||
\(183\) | 0.649461 | + | 0.312764i | 0.0480095 | + | 0.0231202i | ||||
\(184\) | 18.1123 | + | 46.1493i | 1.33525 | + | 3.40217i | ||||
\(185\) | −0.181817 | − | 2.42618i | −0.0133674 | − | 0.178376i | ||||
\(186\) | 2.96010 | − | 0.913069i | 0.217045 | − | 0.0669495i | ||||
\(187\) | −0.205729 | + | 2.74527i | −0.0150444 | + | 0.200754i | ||||
\(188\) | 8.86710 | + | 38.8493i | 0.646699 | + | 2.83338i | ||||
\(189\) | 3.92818 | + | 6.76966i | 0.285733 | + | 0.492420i | ||||
\(190\) | −0.697655 | + | 3.05663i | −0.0506132 | + | 0.221751i | ||||
\(191\) | −3.07177 | − | 0.947517i | −0.222266 | − | 0.0685599i | 0.181622 | − | 0.983368i | \(-0.441865\pi\) |
−0.403888 | + | 0.914808i | \(0.632341\pi\) | |||||||
\(192\) | −1.18023 | + | 3.00717i | −0.0851756 | + | 0.217024i | ||||
\(193\) | 2.44637 | − | 2.26990i | 0.176093 | − | 0.163391i | −0.587202 | − | 0.809440i | \(-0.699771\pi\) |
0.763295 | + | 0.646050i | \(0.223580\pi\) | |||||||
\(194\) | −15.8269 | + | 10.7906i | −1.13631 | + | 0.774720i | ||||
\(195\) | 0.147898 | 0.0105912 | ||||||||
\(196\) | 20.6745 | − | 26.1583i | 1.47675 | − | 1.86845i | ||||
\(197\) | 14.8625 | 1.05891 | 0.529455 | − | 0.848338i | \(-0.322397\pi\) | ||||
0.529455 | + | 0.848338i | \(0.322397\pi\) | |||||||
\(198\) | 8.13315 | − | 5.54509i | 0.577998 | − | 0.394072i | ||||
\(199\) | 8.75453 | − | 8.12302i | 0.620592 | − | 0.575826i | −0.305935 | − | 0.952052i | \(-0.598969\pi\) |
0.926528 | + | 0.376227i | \(0.122779\pi\) | |||||||
\(200\) | −12.9107 | + | 32.8960i | −0.912926 | + | 2.32610i | ||||
\(201\) | 0.365365 | + | 0.112700i | 0.0257709 | + | 0.00794926i | ||||
\(202\) | 1.28752 | − | 5.64100i | 0.0905897 | − | 0.396899i | ||||
\(203\) | −1.61376 | + | 1.50391i | −0.113264 | + | 0.105554i | ||||
\(204\) | 1.08730 | + | 4.76376i | 0.0761260 | + | 0.333530i | ||||
\(205\) | −0.265653 | + | 3.54490i | −0.0185540 | + | 0.247586i | ||||
\(206\) | 30.9114 | − | 9.53491i | 2.15370 | − | 0.664329i | ||||
\(207\) | −1.40948 | − | 18.8083i | −0.0979659 | − | 1.30726i | ||||
\(208\) | −3.34700 | − | 8.52802i | −0.232073 | − | 0.591312i | ||||
\(209\) | 5.24619 | + | 2.52643i | 0.362887 | + | 0.174757i | ||||
\(210\) | 0.632739 | − | 0.796990i | 0.0436631 | − | 0.0549976i | ||||
\(211\) | 4.57446 | − | 2.20295i | 0.314919 | − | 0.151657i | −0.269747 | − | 0.962931i | \(-0.586940\pi\) |
0.584666 | + | 0.811274i | \(0.301226\pi\) | |||||||
\(212\) | 7.63149 | + | 7.08099i | 0.524133 | + | 0.486324i | ||||
\(213\) | 4.58235 | + | 0.690678i | 0.313977 | + | 0.0473244i | ||||
\(214\) | 21.4319 | + | 37.1211i | 1.46505 | + | 2.53755i | ||||
\(215\) | 1.22348 | − | 2.11913i | 0.0834406 | − | 0.144523i | ||||
\(216\) | 13.2539 | − | 16.6199i | 0.901814 | − | 1.13084i | ||||
\(217\) | 2.24404 | + | 5.68123i | 0.152335 | + | 0.385667i | ||||
\(218\) | −11.2433 | − | 14.0987i | −0.761495 | − | 0.954885i | ||||
\(219\) | −3.87065 | + | 0.583407i | −0.261555 | + | 0.0394230i | ||||
\(220\) | −1.56200 | − | 1.06495i | −0.105310 | − | 0.0717990i | ||||
\(221\) | −1.64285 | − | 1.12007i | −0.110510 | − | 0.0753443i | ||||
\(222\) | −11.2605 | + | 1.69724i | −0.755753 | + | 0.113911i | ||||
\(223\) | −0.651398 | − | 0.816827i | −0.0436208 | − | 0.0546988i | 0.759543 | − | 0.650458i | \(-0.225423\pi\) |
−0.803163 | + | 0.595759i | \(0.796851\pi\) | |||||||
\(224\) | −23.9157 | − | 7.31991i | −1.59793 | − | 0.489082i | ||||
\(225\) | 8.38246 | − | 10.5113i | 0.558831 | − | 0.700752i | ||||
\(226\) | 6.49013 | − | 11.2412i | 0.431717 | − | 0.747755i | ||||
\(227\) | −1.25439 | − | 2.17267i | −0.0832568 | − | 0.144205i | 0.821390 | − | 0.570367i | \(-0.193199\pi\) |
−0.904647 | + | 0.426162i | \(0.859866\pi\) | |||||||
\(228\) | 10.2196 | + | 1.54035i | 0.676808 | + | 0.102012i | ||||
\(229\) | −1.71499 | − | 1.59127i | −0.113329 | − | 0.105154i | 0.621473 | − | 0.783436i | \(-0.286535\pi\) |
−0.734802 | + | 0.678281i | \(0.762725\pi\) | |||||||
\(230\) | −4.63394 | + | 2.23159i | −0.305553 | + | 0.147146i | ||||
\(231\) | −1.18159 | − | 1.47505i | −0.0777427 | − | 0.0970511i | ||||
\(232\) | 5.39790 | + | 2.59949i | 0.354390 | + | 0.170665i | ||||
\(233\) | −1.10823 | − | 2.82373i | −0.0726028 | − | 0.184989i | 0.889966 | − | 0.456027i | \(-0.150728\pi\) |
−0.962568 | + | 0.271039i | \(0.912633\pi\) | |||||||
\(234\) | 0.531299 | + | 7.08970i | 0.0347321 | + | 0.463468i | ||||
\(235\) | −2.29166 | + | 0.706884i | −0.149492 | + | 0.0461120i | ||||
\(236\) | 4.78998 | − | 63.9178i | 0.311801 | − | 4.16070i | ||||
\(237\) | −1.72850 | − | 7.57306i | −0.112278 | − | 0.491923i | ||||
\(238\) | −13.0643 | + | 4.06103i | −0.846831 | + | 0.263237i | ||||
\(239\) | −0.647563 | + | 2.83716i | −0.0418874 | + | 0.183521i | −0.991544 | − | 0.129773i | \(-0.958575\pi\) |
0.949656 | + | 0.313293i | \(0.101432\pi\) | |||||||
\(240\) | −1.29474 | − | 0.399375i | −0.0835753 | − | 0.0257796i | ||||
\(241\) | 10.2552 | − | 26.1298i | 0.660594 | − | 1.68317i | −0.0675279 | − | 0.997717i | \(-0.521511\pi\) |
0.728122 | − | 0.685448i | \(-0.240394\pi\) | |||||||
\(242\) | 17.3157 | − | 16.0666i | 1.11309 | − | 1.03280i | ||||
\(243\) | −10.1782 | + | 6.93937i | −0.652931 | + | 0.445161i | ||||
\(244\) | 6.65496 | 0.426040 | ||||||||
\(245\) | 1.66288 | + | 1.12313i | 0.106237 | + | 0.0717543i | ||||
\(246\) | 16.6386 | 1.06084 | ||||||||
\(247\) | −3.47480 | + | 2.36908i | −0.221097 | + | 0.150741i | ||||
\(248\) | 12.1616 | − | 11.2843i | 0.772260 | − | 0.716553i | ||||
\(249\) | −0.115602 | + | 0.294548i | −0.00732596 | + | 0.0186662i | ||||
\(250\) | −7.06521 | − | 2.17933i | −0.446843 | − | 0.137833i | ||||
\(251\) | −6.40989 | + | 28.0836i | −0.404588 | + | 1.77262i | 0.203835 | + | 0.979005i | \(0.434659\pi\) |
−0.608423 | + | 0.793613i | \(0.708198\pi\) | |||||||
\(252\) | 28.5077 | + | 19.3453i | 1.79582 | + | 1.21864i | ||||
\(253\) | 2.12557 | + | 9.31274i | 0.133634 | + | 0.585487i | ||||
\(254\) | −1.94356 | + | 25.9350i | −0.121950 | + | 1.62731i | ||||
\(255\) | −0.281007 | + | 0.0866792i | −0.0175974 | + | 0.00542806i | ||||
\(256\) | −1.44557 | − | 19.2898i | −0.0903480 | − | 1.20561i | ||||
\(257\) | −7.55289 | − | 19.2444i | −0.471136 | − | 1.20044i | −0.947091 | − | 0.320965i | \(-0.895993\pi\) |
0.475955 | − | 0.879470i | \(-0.342103\pi\) | |||||||
\(258\) | −10.3189 | − | 4.96931i | −0.642425 | − | 0.309376i | ||||
\(259\) | −5.04451 | − | 21.8813i | −0.313450 | − | 1.35964i | ||||
\(260\) | 1.23020 | − | 0.592432i | 0.0762936 | − | 0.0367410i | ||||
\(261\) | −1.67086 | − | 1.55033i | −0.103424 | − | 0.0959631i | ||||
\(262\) | −33.1917 | − | 5.00284i | −2.05059 | − | 0.309076i | ||||
\(263\) | −2.74119 | − | 4.74789i | −0.169029 | − | 0.292767i | 0.769050 | − | 0.639189i | \(-0.220730\pi\) |
−0.938079 | + | 0.346422i | \(0.887397\pi\) | |||||||
\(264\) | −2.56655 | + | 4.44540i | −0.157961 | + | 0.273596i | ||||
\(265\) | −0.390643 | + | 0.489851i | −0.0239970 | + | 0.0300913i | ||||
\(266\) | −2.09948 | + | 28.8604i | −0.128727 | + | 1.76954i | ||||
\(267\) | −2.67702 | − | 3.35687i | −0.163831 | − | 0.205437i | ||||
\(268\) | 3.49050 | − | 0.526108i | 0.213216 | − | 0.0321372i | ||||
\(269\) | 20.7762 | + | 14.1650i | 1.26675 | + | 0.863653i | 0.995113 | − | 0.0987475i | \(-0.0314836\pi\) |
0.271634 | + | 0.962401i | \(0.412436\pi\) | |||||||
\(270\) | 1.82216 | + | 1.24233i | 0.110893 | + | 0.0756056i | ||||
\(271\) | −13.2062 | + | 1.99052i | −0.802220 | + | 0.120915i | −0.537340 | − | 0.843366i | \(-0.680571\pi\) |
−0.264881 | + | 0.964281i | \(0.585333\pi\) | |||||||
\(272\) | 11.3574 | + | 14.2417i | 0.688642 | + | 0.863529i | ||||
\(273\) | 1.34933 | − | 0.206391i | 0.0816653 | − | 0.0124914i | ||||
\(274\) | −9.46920 | + | 11.8740i | −0.572055 | + | 0.717335i | ||||
\(275\) | −3.40449 | + | 5.89676i | −0.205299 | + | 0.355588i | ||||
\(276\) | 8.47718 | + | 14.6829i | 0.510267 | + | 0.883808i | ||||
\(277\) | 7.63307 | + | 1.15050i | 0.458627 | + | 0.0691268i | 0.374292 | − | 0.927311i | \(-0.377886\pi\) |
0.0843341 | + | 0.996438i | \(0.473124\pi\) | |||||||
\(278\) | −15.5159 | − | 14.3966i | −0.930579 | − | 0.863451i | ||||
\(279\) | −5.68662 | + | 2.73853i | −0.340449 | + | 0.163952i | ||||
\(280\) | 1.20115 | − | 5.31602i | 0.0717824 | − | 0.317693i | ||||
\(281\) | 14.4897 | + | 6.97785i | 0.864381 | + | 0.416264i | 0.812895 | − | 0.582410i | \(-0.197890\pi\) |
0.0514855 | + | 0.998674i | \(0.483604\pi\) | |||||||
\(282\) | 4.10092 | + | 10.4490i | 0.244206 | + | 0.622227i | ||||
\(283\) | 1.46162 | + | 19.5039i | 0.0868840 | + | 1.15939i | 0.854843 | + | 0.518887i | \(0.173654\pi\) |
−0.767959 | + | 0.640499i | \(0.778727\pi\) | |||||||
\(284\) | 40.8820 | − | 12.6104i | 2.42590 | − | 0.748291i | ||||
\(285\) | −0.0464818 | + | 0.620256i | −0.00275334 | + | 0.0367408i | ||||
\(286\) | −0.801226 | − | 3.51040i | −0.0473775 | − | 0.207574i | ||||
\(287\) | 2.52323 | + | 32.7122i | 0.148941 | + | 1.93094i | ||||
\(288\) | 5.75068 | − | 25.1954i | 0.338862 | − | 1.48465i | ||||
\(289\) | −12.4669 | − | 3.84552i | −0.733346 | − | 0.226207i | ||||
\(290\) | −0.227080 | + | 0.578591i | −0.0133346 | + | 0.0339760i | ||||
\(291\) | −2.78575 | + | 2.58480i | −0.163304 | + | 0.151524i | ||||
\(292\) | −29.8587 | + | 20.3573i | −1.74735 | + | 1.19132i | ||||
\(293\) | −23.4346 | −1.36907 | −0.684533 | − | 0.728982i | \(-0.739994\pi\) | ||||
−0.684533 | + | 0.728982i | \(0.739994\pi\) | |||||||
\(294\) | 4.66053 | − | 8.15424i | 0.271808 | − | 0.475565i | ||||
\(295\) | 3.85757 | 0.224597 | ||||||||
\(296\) | −50.3910 | + | 34.3560i | −2.92892 | + | 1.99690i | ||||
\(297\) | 3.00248 | − | 2.78589i | 0.174221 | − | 0.161654i | ||||
\(298\) | 10.2825 | − | 26.1994i | 0.595651 | − | 1.51769i | ||||
\(299\) | −6.59264 | − | 2.03356i | −0.381262 | − | 0.117604i | ||||
\(300\) | −2.68924 | + | 11.7823i | −0.155264 | + | 0.680254i | ||||
\(301\) | 8.20505 | − | 21.0410i | 0.472931 | − | 1.21278i | ||||
\(302\) | 8.54487 | + | 37.4375i | 0.491702 | + | 2.15429i | ||||
\(303\) | 0.0857821 | − | 1.14468i | 0.00492805 | − | 0.0657603i | ||||
\(304\) | 36.8168 | − | 11.3565i | 2.11159 | − | 0.651338i | ||||
\(305\) | 0.0299307 | + | 0.399398i | 0.00171383 | + | 0.0228694i | ||||
\(306\) | −5.16456 | − | 13.1591i | −0.295238 | − | 0.752255i | ||||
\(307\) | 8.67580 | + | 4.17805i | 0.495154 | + | 0.238454i | 0.664758 | − | 0.747059i | \(-0.268535\pi\) |
−0.169604 | + | 0.985512i | \(0.554249\pi\) | |||||||
\(308\) | −15.7368 | − | 7.53621i | −0.896690 | − | 0.429416i | ||||
\(309\) | 5.78206 | − | 2.78449i | 0.328930 | − | 0.158404i | ||||
\(310\) | 1.26170 | + | 1.17068i | 0.0716596 | + | 0.0664904i | ||||
\(311\) | −27.9675 | − | 4.21542i | −1.58589 | − | 0.239035i | −0.703900 | − | 0.710299i | \(-0.748560\pi\) |
−0.881992 | + | 0.471265i | \(0.843798\pi\) | |||||||
\(312\) | −1.85371 | − | 3.21071i | −0.104945 | − | 0.181771i | ||||
\(313\) | 8.20381 | − | 14.2094i | 0.463707 | − | 0.803164i | −0.535435 | − | 0.844576i | \(-0.679852\pi\) |
0.999142 | + | 0.0414123i | \(0.0131857\pi\) | |||||||
\(314\) | −10.5379 | + | 13.2141i | −0.594688 | + | 0.745715i | ||||
\(315\) | −1.03279 | + | 1.79790i | −0.0581913 | + | 0.101300i | ||||
\(316\) | −44.7127 | − | 56.0679i | −2.51529 | − | 3.15407i | ||||
\(317\) | 0.474525 | − | 0.0715231i | 0.0266520 | − | 0.00401714i | −0.135703 | − | 0.990750i | \(-0.543329\pi\) |
0.162355 | + | 0.986732i | \(0.448091\pi\) | |||||||
\(318\) | 2.42299 | + | 1.65197i | 0.135875 | + | 0.0926378i | ||||
\(319\) | 0.953787 | + | 0.650281i | 0.0534018 | + | 0.0364087i | ||||
\(320\) | −1.77488 | + | 0.267519i | −0.0992185 | + | 0.0149548i | ||||
\(321\) | 5.30197 | + | 6.64846i | 0.295927 | + | 0.371081i | ||||
\(322\) | −39.1631 | + | 26.8263i | −2.18247 | + | 1.49497i | ||||
\(323\) | 5.21369 | − | 6.53776i | 0.290098 | − | 0.363771i | ||||
\(324\) | −15.8975 | + | 27.5352i | −0.883192 | + | 1.52973i | ||||
\(325\) | −2.45891 | − | 4.25896i | −0.136396 | − | 0.236245i | ||||
\(326\) | −23.2838 | − | 3.50947i | −1.28957 | − | 0.194371i | ||||
\(327\) | −2.62252 | − | 2.43334i | −0.145025 | − | 0.134564i | ||||
\(328\) | 80.2857 | − | 38.6635i | 4.43303 | − | 2.13484i | ||||
\(329\) | −19.9213 | + | 9.64719i | −1.09830 | + | 0.531867i | ||||
\(330\) | −0.479796 | − | 0.231057i | −0.0264119 | − | 0.0127193i | ||||
\(331\) | −1.17353 | − | 2.99010i | −0.0645029 | − | 0.164351i | 0.894988 | − | 0.446090i | \(-0.147184\pi\) |
−0.959491 | + | 0.281739i | \(0.909089\pi\) | |||||||
\(332\) | 0.218305 | + | 2.91308i | 0.0119810 | + | 0.159876i | ||||
\(333\) | 22.1718 | − | 6.83910i | 1.21501 | − | 0.374780i | ||||
\(334\) | −1.03498 | + | 13.8108i | −0.0566313 | + | 0.755693i | ||||
\(335\) | 0.0472730 | + | 0.207116i | 0.00258280 | + | 0.0113160i | ||||
\(336\) | −12.3698 | − | 1.83685i | −0.674827 | − | 0.100208i | ||||
\(337\) | 6.12670 | − | 26.8428i | 0.333743 | − | 1.46222i | −0.478079 | − | 0.878317i | \(-0.658667\pi\) |
0.811821 | − | 0.583906i | \(-0.198476\pi\) | |||||||
\(338\) | 2.48507 | + | 0.766542i | 0.135170 | + | 0.0416944i | ||||
\(339\) | 0.940804 | − | 2.39713i | 0.0510974 | − | 0.130194i | ||||
\(340\) | −1.99017 | + | 1.84661i | −0.107932 | + | 0.100147i | ||||
\(341\) | 2.64114 | − | 1.80070i | 0.143026 | − | 0.0975132i | ||||
\(342\) | −29.8998 | −1.61680 | ||||||||
\(343\) | 16.7384 | + | 7.92625i | 0.903789 | + | 0.427977i | ||||
\(344\) | −61.3388 | −3.30717 | ||||||||
\(345\) | −0.843070 | + | 0.574795i | −0.0453893 | + | 0.0309459i | ||||
\(346\) | 21.5726 | − | 20.0165i | 1.15975 | − | 1.07609i | ||||
\(347\) | −7.91080 | + | 20.1564i | −0.424674 | + | 1.08205i | 0.545170 | + | 0.838325i | \(0.316465\pi\) |
−0.969844 | + | 0.243726i | \(0.921630\pi\) | |||||||
\(348\) | 1.95788 | + | 0.603926i | 0.104953 | + | 0.0323738i | ||||
\(349\) | 3.67481 | − | 16.1004i | 0.196708 | − | 0.861835i | −0.776171 | − | 0.630522i | \(-0.782841\pi\) |
0.972879 | − | 0.231313i | \(-0.0743022\pi\) | |||||||
\(350\) | −33.4704 | − | 4.97019i | −1.78907 | − | 0.265668i | ||||
\(351\) | 0.658274 | + | 2.88409i | 0.0351360 | + | 0.153941i | ||||
\(352\) | −0.978102 | + | 13.0519i | −0.0521330 | + | 0.695667i | ||||
\(353\) | −26.6201 | + | 8.21121i | −1.41684 | + | 0.437038i | −0.906235 | − | 0.422775i | \(-0.861056\pi\) |
−0.510609 | + | 0.859813i | \(0.670580\pi\) | |||||||
\(354\) | −1.34929 | − | 18.0050i | −0.0717140 | − | 0.956957i | ||||
\(355\) | 0.940682 | + | 2.39682i | 0.0499262 | + | 0.127210i | ||||
\(356\) | −35.7136 | − | 17.1988i | −1.89282 | − | 0.911534i | ||||
\(357\) | −2.44278 | + | 1.18295i | −0.129286 | + | 0.0626085i | ||||
\(358\) | −46.5491 | + | 22.4169i | −2.46020 | + | 1.18477i | ||||
\(359\) | −0.798197 | − | 0.740619i | −0.0421272 | − | 0.0390884i | 0.658828 | − | 0.752293i | \(-0.271052\pi\) |
−0.700956 | + | 0.713205i | \(0.747243\pi\) | |||||||
\(360\) | 5.56853 | + | 0.839321i | 0.293487 | + | 0.0442361i | ||||
\(361\) | 0.656593 | + | 1.13725i | 0.0345575 | + | 0.0598554i | ||||
\(362\) | −21.1920 | + | 36.7057i | −1.11383 | + | 1.92921i | ||||
\(363\) | 2.92180 | − | 3.66383i | 0.153355 | − | 0.192301i | ||||
\(364\) | 10.3968 | − | 7.12172i | 0.544943 | − | 0.373280i | ||||
\(365\) | −1.35603 | − | 1.70041i | −0.0709780 | − | 0.0890036i | ||||
\(366\) | 1.85370 | − | 0.279400i | 0.0968945 | − | 0.0146045i | ||||
\(367\) | −16.4530 | − | 11.2175i | −0.858841 | − | 0.585548i | 0.0518415 | − | 0.998655i | \(-0.483491\pi\) |
−0.910682 | + | 0.413108i | \(0.864443\pi\) | |||||||
\(368\) | 52.2226 | + | 35.6047i | 2.72229 | + | 1.85603i | ||||
\(369\) | −33.5228 | + | 5.05275i | −1.74513 | + | 0.263036i | ||||
\(370\) | −3.94496 | − | 4.94682i | −0.205089 | − | 0.257173i | ||||
\(371\) | −2.88041 | + | 5.01425i | −0.149543 | + | 0.260327i | ||||
\(372\) | 3.53746 | − | 4.43583i | 0.183409 | − | 0.229987i | ||||
\(373\) | 4.02054 | − | 6.96377i | 0.208175 | − | 0.360570i | −0.742964 | − | 0.669331i | \(-0.766581\pi\) |
0.951140 | + | 0.308761i | \(0.0999142\pi\) | |||||||
\(374\) | 3.57969 | + | 6.20020i | 0.185101 | + | 0.320605i | ||||
\(375\) | −1.45044 | − | 0.218619i | −0.0749006 | − | 0.0112894i | ||||
\(376\) | 44.0687 | + | 40.8898i | 2.27267 | + | 2.10873i | ||||
\(377\) | −0.751183 | + | 0.361751i | −0.0386879 | + | 0.0186311i | ||||
\(378\) | 18.3579 | + | 8.79143i | 0.944230 | + | 0.452182i | ||||
\(379\) | 20.9913 | + | 10.1089i | 1.07825 | + | 0.519259i | 0.886758 | − | 0.462234i | \(-0.152952\pi\) |
0.191495 | + | 0.981494i | \(0.438666\pi\) | |||||||
\(380\) | 2.09792 | + | 5.34540i | 0.107621 | + | 0.274213i | ||||
\(381\) | 0.385581 | + | 5.14522i | 0.0197539 | + | 0.263597i | ||||
\(382\) | −7.98848 | + | 2.46412i | −0.408726 | + | 0.126075i | ||||
\(383\) | −0.451245 | + | 6.02145i | −0.0230576 | + | 0.307682i | 0.973737 | + | 0.227676i | \(0.0731128\pi\) |
−0.996794 | + | 0.0800054i | \(0.974506\pi\) | |||||||
\(384\) | −0.301116 | − | 1.31927i | −0.0153662 | − | 0.0673239i | ||||
\(385\) | 0.381510 | − | 0.978342i | 0.0194435 | − | 0.0498609i | ||||
\(386\) | 1.93122 | − | 8.46123i | 0.0982966 | − | 0.430665i | ||||
\(387\) | 22.2992 | + | 6.87839i | 1.13353 | + | 0.349648i | ||||
\(388\) | −12.8177 | + | 32.6589i | −0.650718 | + | 1.65800i | ||||
\(389\) | 13.7875 | − | 12.7930i | 0.699056 | − | 0.648629i | −0.248347 | − | 0.968671i | \(-0.579887\pi\) |
0.947403 | + | 0.320042i | \(0.103697\pi\) | |||||||
\(390\) | 0.317792 | − | 0.216667i | 0.0160920 | − | 0.0109713i | ||||
\(391\) | 13.7179 | 0.693743 | ||||||||
\(392\) | 3.54009 | − | 50.1763i | 0.178802 | − | 2.53429i | ||||
\(393\) | −6.65924 | −0.335914 | ||||||||
\(394\) | 31.9354 | − | 21.7732i | 1.60888 | − | 1.09692i | ||||
\(395\) | 3.16382 | − | 2.93560i | 0.159189 | − | 0.147706i | ||||
\(396\) | 6.58675 | − | 16.7828i | 0.330997 | − | 0.843366i | ||||
\(397\) | −23.5157 | − | 7.25363i | −1.18022 | − | 0.364049i | −0.358274 | − | 0.933616i | \(-0.616635\pi\) |
−0.821945 | + | 0.569567i | \(0.807111\pi\) | |||||||
\(398\) | 6.91105 | − | 30.2793i | 0.346419 | − | 1.51776i | ||||
\(399\) | 0.441493 | + | 5.72371i | 0.0221023 | + | 0.286544i | ||||
\(400\) | 10.0254 | + | 43.9241i | 0.501269 | + | 2.19620i | ||||
\(401\) | 0.821356 | − | 10.9602i | 0.0410165 | − | 0.547328i | −0.938410 | − | 0.345525i | \(-0.887701\pi\) |
0.979426 | − | 0.201803i | \(-0.0646800\pi\) | |||||||
\(402\) | 0.950171 | − | 0.293089i | 0.0473902 | − | 0.0146179i | ||||
\(403\) | 0.172533 | + | 2.30229i | 0.00859446 | + | 0.114685i | ||||
\(404\) | −3.87170 | − | 9.86494i | −0.192624 | − | 0.490799i | ||||
\(405\) | −1.72403 | − | 0.830247i | −0.0856675 | − | 0.0412553i | ||||
\(406\) | −1.26432 | + | 5.59561i | −0.0627473 | + | 0.277705i | ||||
\(407\) | −10.5874 | + | 5.09860i | −0.524796 | + | 0.252728i | ||||
\(408\) | 5.40377 | + | 5.01397i | 0.267527 | + | 0.248228i | ||||
\(409\) | 5.97165 | + | 0.900081i | 0.295279 | + | 0.0445062i | 0.295011 | − | 0.955494i | \(-0.404677\pi\) |
0.000267886 | 1.00000i | \(0.499915\pi\) | ||||||||
\(410\) | 4.62236 | + | 8.00617i | 0.228282 | + | 0.395397i | ||||
\(411\) | −1.50651 | + | 2.60935i | −0.0743105 | + | 0.128710i | ||||
\(412\) | 36.9406 | − | 46.3221i | 1.81993 | − | 2.28212i | ||||
\(413\) | 35.1942 | − | 5.38323i | 1.73179 | − | 0.264891i | ||||
\(414\) | −30.5822 | − | 38.3488i | −1.50303 | − | 1.88474i | ||||
\(415\) | −0.173847 | + | 0.0262032i | −0.00853379 | + | 0.00128626i | ||||
\(416\) | −7.81060 | − | 5.32518i | −0.382946 | − | 0.261088i | ||||
\(417\) | −3.46948 | − | 2.36545i | −0.169901 | − | 0.115836i | ||||
\(418\) | 14.9738 | − | 2.25693i | 0.732391 | − | 0.110390i | ||||
\(419\) | 16.9663 | + | 21.2751i | 0.828859 | + | 1.03936i | 0.998549 | + | 0.0538583i | \(0.0171519\pi\) |
−0.169690 | + | 0.985497i | \(0.554277\pi\) | |||||||
\(420\) | 0.135229 | − | 1.85892i | 0.00659848 | − | 0.0907058i | ||||
\(421\) | 15.8348 | − | 19.8563i | 0.771743 | − | 0.967735i | −0.228240 | − | 0.973605i | \(-0.573297\pi\) |
0.999983 | + | 0.00587008i | \(0.00186852\pi\) | |||||||
\(422\) | 6.60199 | − | 11.4350i | 0.321380 | − | 0.556646i | ||||
\(423\) | −11.4355 | − | 19.8069i | −0.556013 | − | 0.963043i | ||||
\(424\) | 15.5304 | + | 2.34082i | 0.754221 | + | 0.113680i | ||||
\(425\) | 7.16802 | + | 6.65095i | 0.347700 | + | 0.322618i | ||||
\(426\) | 10.8580 | − | 5.22894i | 0.526072 | − | 0.253343i | ||||
\(427\) | 0.830427 | + | 3.60210i | 0.0401872 | + | 0.174318i | ||||
\(428\) | 70.7327 | + | 34.0631i | 3.41899 | + | 1.64650i | ||||
\(429\) | −0.260976 | − | 0.664955i | −0.0126000 | − | 0.0321043i | ||||
\(430\) | −0.475550 | − | 6.34578i | −0.0229331 | − | 0.306021i | ||||
\(431\) | −9.46829 | + | 2.92058i | −0.456071 | + | 0.140679i | −0.514275 | − | 0.857625i | \(-0.671939\pi\) |
0.0582036 | + | 0.998305i | \(0.481463\pi\) | |||||||
\(432\) | 2.02530 | − | 27.0257i | 0.0974421 | − | 1.30027i | ||||
\(433\) | 7.83506 | + | 34.3276i | 0.376529 | + | 1.64968i | 0.707998 | + | 0.706215i | \(0.249599\pi\) |
−0.331469 | + | 0.943466i | \(0.607544\pi\) | |||||||
\(434\) | 13.1447 | + | 8.91993i | 0.630964 | + | 0.428170i | ||||
\(435\) | −0.0274391 | + | 0.120218i | −0.00131560 | + | 0.00576403i | ||||
\(436\) | −31.5609 | − | 9.73525i | −1.51149 | − | 0.466234i | ||||
\(437\) | 10.6003 | − | 27.0092i | 0.507082 | − | 1.29202i | ||||
\(438\) | −7.46228 | + | 6.92398i | −0.356562 | + | 0.330841i | ||||
\(439\) | 2.92715 | − | 1.99570i | 0.139705 | − | 0.0952496i | −0.491451 | − | 0.870905i | \(-0.663533\pi\) |
0.631156 | + | 0.775656i | \(0.282581\pi\) | |||||||
\(440\) | −2.85206 | −0.135967 | ||||||||
\(441\) | −6.91363 | + | 17.8442i | −0.329220 | + | 0.849723i | ||||
\(442\) | −5.17090 | −0.245954 | ||||||||
\(443\) | −0.524829 | + | 0.357822i | −0.0249354 | + | 0.0170007i | −0.575724 | − | 0.817644i | \(-0.695280\pi\) |
0.550788 | + | 0.834645i | \(0.314327\pi\) | |||||||
\(444\) | −15.2894 | + | 14.1864i | −0.725601 | + | 0.673259i | ||||
\(445\) | 0.871563 | − | 2.22071i | 0.0413161 | − | 0.105272i | ||||
\(446\) | −2.59630 | − | 0.800853i | −0.122939 | − | 0.0379215i | ||||
\(447\) | 1.24248 | − | 5.44366i | 0.0587673 | − | 0.257476i | ||||
\(448\) | −15.8196 | + | 4.91752i | −0.747404 | + | 0.232331i | ||||
\(449\) | −3.00975 | − | 13.1866i | −0.142039 | − | 0.622313i | −0.994960 | − | 0.100273i | \(-0.968028\pi\) |
0.852921 | − | 0.522040i | \(-0.174829\pi\) | |||||||
\(450\) | 2.61284 | − | 34.8659i | 0.123170 | − | 1.64359i | ||||
\(451\) | 16.4067 | − | 5.06081i | 0.772564 | − | 0.238304i | ||||
\(452\) | −1.77664 | − | 23.7076i | −0.0835659 | − | 1.11511i | ||||
\(453\) | 2.78324 | + | 7.09158i | 0.130768 | + | 0.333191i | ||||
\(454\) | −5.87823 | − | 2.83081i | −0.275879 | − | 0.132856i | ||||
\(455\) | 0.474170 | + | 0.591937i | 0.0222294 | + | 0.0277504i | ||||
\(456\) | 14.0477 | − | 6.76502i | 0.657844 | − | 0.316801i | ||||
\(457\) | 24.8214 | + | 23.0309i | 1.16110 | + | 1.07734i | 0.995843 | + | 0.0910887i | \(0.0290347\pi\) |
0.165253 | + | 0.986251i | \(0.447156\pi\) | |||||||
\(458\) | −6.01620 | − | 0.906797i | −0.281119 | − | 0.0423718i | ||||
\(459\) | −2.94101 | − | 5.09398i | −0.137275 | − | 0.237767i | ||||
\(460\) | −4.71010 | + | 8.15813i | −0.219610 | + | 0.380375i | ||||
\(461\) | −2.30078 | + | 2.88509i | −0.107158 | + | 0.134372i | −0.832518 | − | 0.553997i | \(-0.813102\pi\) |
0.725360 | + | 0.688369i | \(0.241673\pi\) | |||||||
\(462\) | −4.69981 | − | 1.43848i | −0.218655 | − | 0.0669240i | ||||
\(463\) | −18.0400 | − | 22.6214i | −0.838388 | − | 1.05131i | −0.997942 | − | 0.0641165i | \(-0.979577\pi\) |
0.159554 | − | 0.987189i | \(-0.448994\pi\) | |||||||
\(464\) | 7.55293 | − | 1.13842i | 0.350636 | − | 0.0528498i | ||||
\(465\) | 0.282126 | + | 0.192350i | 0.0130833 | + | 0.00892004i | ||||
\(466\) | −6.51798 | − | 4.44388i | −0.301939 | − | 0.205859i | ||||
\(467\) | 0.540911 | − | 0.0815292i | 0.0250304 | − | 0.00377272i | −0.136515 | − | 0.990638i | \(-0.543590\pi\) |
0.161546 | + | 0.986865i | \(0.448352\pi\) | |||||||
\(468\) | 8.11882 | + | 10.1807i | 0.375292 | + | 0.470602i | ||||
\(469\) | 0.720320 | + | 1.82364i | 0.0332613 | + | 0.0842077i | ||||
\(470\) | −3.88858 | + | 4.87612i | −0.179367 | + | 0.224919i | ||||
\(471\) | −1.67653 | + | 2.90384i | −0.0772506 | + | 0.133802i | ||||
\(472\) | −48.3496 | − | 83.7440i | −2.22547 | − | 3.85463i | ||||
\(473\) | −11.6866 | − | 1.76147i | −0.537350 | − | 0.0809924i | ||||
\(474\) | −14.8084 | − | 13.7402i | −0.680173 | − | 0.631108i | ||||
\(475\) | 18.6341 | − | 8.97369i | 0.854990 | − | 0.411741i | ||||
\(476\) | −15.5802 | + | 19.6246i | −0.714117 | + | 0.899494i | ||||
\(477\) | −5.38343 | − | 2.59252i | −0.246490 | − | 0.118704i | ||||
\(478\) | 2.76493 | + | 7.04492i | 0.126465 | + | 0.322227i | ||||
\(479\) | −2.76106 | − | 36.8437i | −0.126156 | − | 1.68343i | −0.597801 | − | 0.801645i | \(-0.703959\pi\) |
0.471645 | − | 0.881789i | \(-0.343660\pi\) | |||||||
\(480\) | −1.33600 | + | 0.412100i | −0.0609796 | + | 0.0188097i | ||||
\(481\) | 0.634255 | − | 8.46354i | 0.0289195 | − | 0.385904i | ||||
\(482\) | −16.2439 | − | 71.1691i | −0.739889 | − | 3.24166i | ||||
\(483\) | −6.88954 | + | 6.42058i | −0.313485 | + | 0.292147i | ||||
\(484\) | 9.62709 | − | 42.1790i | 0.437595 | − | 1.91723i | ||||
\(485\) | −2.01767 | − | 0.622369i | −0.0916177 | − | 0.0282603i | ||||
\(486\) | −11.7041 | + | 29.8216i | −0.530909 | + | 1.35273i | ||||
\(487\) | −20.4846 | + | 19.0069i | −0.928244 | + | 0.861285i | −0.990603 | − | 0.136769i | \(-0.956328\pi\) |
0.0623585 | + | 0.998054i | \(0.480138\pi\) | |||||||
\(488\) | 8.29537 | − | 5.65569i | 0.375514 | − | 0.256021i | ||||
\(489\) | −4.67142 | −0.211249 | ||||||||
\(490\) | 5.21842 | − | 0.0227708i | 0.235744 | − | 0.00102868i | ||||
\(491\) | 39.5850 | 1.78645 | 0.893223 | − | 0.449615i | \(-0.148439\pi\) | ||||
0.893223 | + | 0.449615i | \(0.148439\pi\) | |||||||
\(492\) | 25.1791 | − | 17.1668i | 1.13516 | − | 0.773941i | ||||
\(493\) | 1.21524 | − | 1.12758i | 0.0547317 | − | 0.0507836i | ||||
\(494\) | −3.99575 | + | 10.1810i | −0.179777 | + | 0.458065i | ||||
\(495\) | 1.03684 | + | 0.319824i | 0.0466026 | + | 0.0143750i | ||||
\(496\) | 4.70656 | − | 20.6208i | 0.211331 | − | 0.925901i | ||||
\(497\) | 11.9270 | + | 20.5544i | 0.534998 | + | 0.921992i | ||||
\(498\) | 0.183110 | + | 0.802255i | 0.00820533 | + | 0.0359499i | ||||
\(499\) | 1.49046 | − | 19.8888i | 0.0667222 | − | 0.890346i | −0.858960 | − | 0.512043i | \(-0.828889\pi\) |
0.925682 | − | 0.378303i | \(-0.123492\pi\) | |||||||
\(500\) | −12.9403 | + | 3.99156i | −0.578709 | + | 0.178508i | ||||
\(501\) | 0.205328 | + | 2.73991i | 0.00917336 | + | 0.122410i | ||||
\(502\) | 27.3686 | + | 69.7340i | 1.22152 | + | 3.11238i | ||||
\(503\) | 16.2718 | + | 7.83610i | 0.725525 | + | 0.349395i | 0.759923 | − | 0.650014i | \(-0.225237\pi\) |
−0.0343972 | + | 0.999408i | \(0.510951\pi\) | |||||||
\(504\) | 51.9752 | − | 0.113398i | 2.31516 | − | 0.00505114i | ||||
\(505\) | 0.574632 | − | 0.276728i | 0.0255708 | − | 0.0123142i | ||||
\(506\) | 18.2102 | + | 16.8966i | 0.809541 | + | 0.751145i | ||||
\(507\) | 0.510169 | + | 0.0768956i | 0.0226574 | + | 0.00341505i | ||||
\(508\) | 23.8173 | + | 41.2527i | 1.05672 | + | 1.83029i | ||||
\(509\) | 10.6926 | − | 18.5202i | 0.473942 | − | 0.820892i | −0.525613 | − | 0.850724i | \(-0.676164\pi\) |
0.999555 | + | 0.0298319i | \(0.00949720\pi\) | |||||||
\(510\) | −0.476823 | + | 0.597918i | −0.0211141 | + | 0.0264762i | ||||
\(511\) | −14.7445 | − | 13.6212i | −0.652260 | − | 0.602566i | ||||
\(512\) | −28.0945 | − | 35.2294i | −1.24161 | − | 1.55693i | ||||
\(513\) | −12.3022 | + | 1.85426i | −0.543155 | + | 0.0818674i | ||||
\(514\) | −44.4216 | − | 30.2862i | −1.95935 | − | 1.33587i | ||||
\(515\) | 2.94616 | + | 2.00866i | 0.129823 | + | 0.0885121i | ||||
\(516\) | −20.7426 | + | 3.12645i | −0.913144 | + | 0.137634i | ||||
\(517\) | 7.22196 | + | 9.05605i | 0.317621 | + | 0.398285i | ||||
\(518\) | −42.8947 | − | 39.6267i | −1.88469 | − | 1.74110i | ||||
\(519\) | 3.64012 | − | 4.56456i | 0.159783 | − | 0.200362i | ||||
\(520\) | 1.02996 | − | 1.78394i | 0.0451667 | − | 0.0782309i | ||||
\(521\) | −1.81855 | − | 3.14983i | −0.0796722 | − | 0.137996i | 0.823436 | − | 0.567409i | \(-0.192054\pi\) |
−0.903109 | + | 0.429412i | \(0.858721\pi\) | |||||||
\(522\) | −5.86140 | − | 0.883465i | −0.256547 | − | 0.0386682i | ||||
\(523\) | 28.4024 | + | 26.3535i | 1.24195 | + | 1.15236i | 0.982432 | + | 0.186621i | \(0.0597538\pi\) |
0.259517 | + | 0.965739i | \(0.416437\pi\) | |||||||
\(524\) | −55.3907 | + | 26.6747i | −2.41975 | + | 1.16529i | ||||
\(525\) | −6.71294 | + | 0.0146461i | −0.292977 | + | 0.000639207i | ||||
\(526\) | −12.8456 | − | 6.18611i | −0.560094 | − | 0.269727i | ||||
\(527\) | −1.67712 | − | 4.27324i | −0.0730567 | − | 0.186145i | ||||
\(528\) | 0.489051 | + | 6.52593i | 0.0212832 | + | 0.284005i | ||||
\(529\) | 23.5054 | − | 7.25046i | 1.02197 | − | 0.315237i | ||||
\(530\) | −0.121765 | + | 1.62483i | −0.00528911 | + | 0.0705783i | ||||
\(531\) | 8.18623 | + | 35.8662i | 0.355252 | + | 1.55646i | ||||
\(532\) | 26.5996 | + | 45.8406i | 1.15324 | + | 1.98744i | ||||
\(533\) | −2.75943 | + | 12.0899i | −0.119524 | + | 0.523670i | ||||
\(534\) | −10.6699 | − | 3.29123i | −0.461732 | − | 0.142425i | ||||
\(535\) | −1.72618 | + | 4.39822i | −0.0746291 | + | 0.190152i | ||||
\(536\) | 3.90378 | − | 3.62218i | 0.168618 | − | 0.156454i | ||||
\(537\) | −8.46885 | + | 5.77396i | −0.365458 | + | 0.249165i | ||||
\(538\) | 65.3935 | 2.81932 | ||||||||
\(539\) | 2.11539 | − | 9.45820i | 0.0911164 | − | 0.407393i | ||||
\(540\) | 4.03925 | 0.173821 | ||||||||
\(541\) | −7.79917 | + | 5.31739i | −0.335313 | + | 0.228612i | −0.719257 | − | 0.694744i | \(-0.755518\pi\) |
0.383945 | + | 0.923356i | \(0.374565\pi\) | |||||||
\(542\) | −25.4604 | + | 23.6238i | −1.09362 | + | 1.01473i | ||||
\(543\) | −3.07198 | + | 7.82728i | −0.131831 | + | 0.335901i | ||||
\(544\) | 17.9611 | + | 5.54028i | 0.770078 | + | 0.237538i | ||||
\(545\) | 0.442316 | − | 1.93791i | 0.0189467 | − | 0.0830111i | ||||
\(546\) | 2.59698 | − | 2.42021i | 0.111141 | − | 0.103576i | ||||
\(547\) | 7.84137 | + | 34.3553i | 0.335273 | + | 1.46893i | 0.808767 | + | 0.588130i | \(0.200135\pi\) |
−0.473494 | + | 0.880797i | \(0.657007\pi\) | |||||||
\(548\) | −2.07874 | + | 27.7388i | −0.0887992 | + | 1.18494i | ||||
\(549\) | −3.64993 | + | 1.12585i | −0.155775 | + | 0.0480502i | ||||
\(550\) | 1.32328 | + | 17.6580i | 0.0564250 | + | 0.752939i | ||||
\(551\) | −1.28103 | − | 3.26401i | −0.0545737 | − | 0.139052i | ||||
\(552\) | 23.0450 | + | 11.0979i | 0.980859 | + | 0.472357i | ||||
\(553\) | 24.7682 | − | 31.1978i | 1.05325 | − | 1.32666i | ||||
\(554\) | 18.0868 | − | 8.71014i | 0.768434 | − | 0.370058i | ||||
\(555\) | −0.920164 | − | 0.853787i | −0.0390588 | − | 0.0362413i | ||||
\(556\) | −38.3339 | − | 5.77790i | −1.62572 | − | 0.245038i | ||||
\(557\) | 17.6453 | + | 30.5625i | 0.747654 | + | 1.29498i | 0.948944 | + | 0.315444i | \(0.102153\pi\) |
−0.201290 | + | 0.979532i | \(0.564513\pi\) | |||||||
\(558\) | −8.20709 | + | 14.2151i | −0.347434 | + | 0.601773i | ||||
\(559\) | 5.32213 | − | 6.67374i | 0.225102 | − | 0.282269i | ||||
\(560\) | −2.55259 | − | 6.46241i | −0.107867 | − | 0.273087i | ||||
\(561\) | 0.885568 | + | 1.11047i | 0.0373887 | + | 0.0468840i | ||||
\(562\) | 41.3566 | − | 6.23351i | 1.74452 | − | 0.262945i | ||||
\(563\) | 3.96701 | + | 2.70466i | 0.167189 | + | 0.113988i | 0.644024 | − | 0.765005i | \(-0.277264\pi\) |
−0.476835 | + | 0.878993i | \(0.658216\pi\) | |||||||
\(564\) | 16.9867 | + | 11.5813i | 0.715267 | + | 0.487661i | ||||
\(565\) | 1.41482 | − | 0.213250i | 0.0595219 | − | 0.00897148i | ||||
\(566\) | 31.7133 | + | 39.7672i | 1.33301 | + | 1.67154i | ||||
\(567\) | −16.8876 | − | 5.16881i | −0.709212 | − | 0.217069i | ||||
\(568\) | 40.2423 | − | 50.4622i | 1.68853 | − | 2.11735i | ||||
\(569\) | −6.47087 | + | 11.2079i | −0.271273 | + | 0.469858i | −0.969188 | − | 0.246322i | \(-0.920778\pi\) |
0.697915 | + | 0.716180i | \(0.254111\pi\) | |||||||
\(570\) | 0.808782 | + | 1.40085i | 0.0338762 | + | 0.0586752i | ||||
\(571\) | −29.0521 | − | 4.37889i | −1.21579 | − | 0.183251i | −0.490344 | − | 0.871529i | \(-0.663129\pi\) |
−0.725447 | + | 0.688278i | \(0.758367\pi\) | |||||||
\(572\) | −4.83436 | − | 4.48563i | −0.202135 | − | 0.187553i | ||||
\(573\) | −1.49426 | + | 0.719600i | −0.0624238 | + | 0.0300617i | ||||
\(574\) | 53.3442 | + | 66.5930i | 2.22655 | + | 2.77954i | ||||
\(575\) | 30.5688 | + | 14.7212i | 1.27481 | + | 0.613915i | ||||
\(576\) | −6.25378 | − | 15.9344i | −0.260574 | − | 0.663933i | ||||
\(577\) | −3.20673 | − | 42.7908i | −0.133498 | − | 1.78140i | −0.515152 | − | 0.857099i | \(-0.672264\pi\) |
0.381654 | − | 0.924305i | \(-0.375355\pi\) | |||||||
\(578\) | −32.4214 | + | 10.0007i | −1.34855 | + | 0.415974i | ||||
\(579\) | 0.128669 | − | 1.71697i | 0.00534730 | − | 0.0713548i | ||||
\(580\) | 0.253321 | + | 1.10987i | 0.0105186 | + | 0.0460850i | ||||
\(581\) | −1.54951 | + | 0.481664i | −0.0642843 | + | 0.0199828i | ||||
\(582\) | −2.19914 | + | 9.63507i | −0.0911574 | + | 0.399386i | ||||
\(583\) | 2.89170 | + | 0.891972i | 0.119762 | + | 0.0369417i | ||||
\(584\) | −19.9181 | + | 50.7505i | −0.824217 | + | 2.10007i | ||||
\(585\) | −0.574479 | + | 0.533039i | −0.0237518 | + | 0.0220384i | ||||
\(586\) | −50.3545 | + | 34.3311i | −2.08012 | + | 1.41820i | ||||
\(587\) | 2.14757 | 0.0886396 | 0.0443198 | − | 0.999017i | \(-0.485888\pi\) | ||||
0.0443198 | + | 0.999017i | \(0.485888\pi\) | |||||||
\(588\) | −1.36036 | − | 17.1483i | −0.0561004 | − | 0.707185i | ||||
\(589\) | −9.70958 | −0.400076 | ||||||||
\(590\) | 8.28885 | − | 5.65124i | 0.341247 | − | 0.232658i | ||||
\(591\) | 5.62106 | − | 5.21559i | 0.231220 | − | 0.214541i | ||||
\(592\) | −28.4069 | + | 72.3796i | −1.16752 | + | 2.97478i | ||||
\(593\) | −7.12310 | − | 2.19719i | −0.292511 | − | 0.0902277i | 0.145027 | − | 0.989428i | \(-0.453673\pi\) |
−0.437538 | + | 0.899200i | \(0.644149\pi\) | |||||||
\(594\) | 2.37023 | − | 10.3847i | 0.0972517 | − | 0.426088i | ||||
\(595\) | −1.24785 | − | 0.846785i | −0.0511567 | − | 0.0347148i | ||||
\(596\) | −11.4708 | − | 50.2566i | −0.469860 | − | 2.05859i | ||||
\(597\) | 0.460453 | − | 6.14432i | 0.0188451 | − | 0.251470i | ||||
\(598\) | −17.1449 | + | 5.28849i | −0.701105 | + | 0.216262i | ||||
\(599\) | 1.36526 | + | 18.2181i | 0.0557830 | + | 0.744372i | 0.953036 | + | 0.302856i | \(0.0979402\pi\) |
−0.897253 | + | 0.441516i | \(0.854441\pi\) | |||||||
\(600\) | 6.66105 | + | 16.9721i | 0.271936 | + | 0.692882i | ||||
\(601\) | 38.3761 | + | 18.4810i | 1.56540 | + | 0.753855i | 0.997595 | − | 0.0693118i | \(-0.0220803\pi\) |
0.567800 | + | 0.823166i | \(0.307795\pi\) | |||||||
\(602\) | −13.1941 | − | 57.2314i | −0.537753 | − | 2.33258i | ||||
\(603\) | −1.82537 | + | 0.879051i | −0.0743347 | + | 0.0357977i | ||||
\(604\) | 51.5572 | + | 47.8381i | 2.09783 | + | 1.94650i | ||||
\(605\) | 2.57468 | + | 0.388070i | 0.104675 | + | 0.0157773i | ||||
\(606\) | −1.49261 | − | 2.58527i | −0.0606330 | − | 0.105019i | ||||
\(607\) | −23.6731 | + | 41.0029i | −0.960860 | + | 1.66426i | −0.240510 | + | 0.970647i | \(0.577315\pi\) |
−0.720349 | + | 0.693611i | \(0.756019\pi\) | |||||||
\(608\) | 24.7875 | − | 31.0826i | 1.00527 | − | 1.26057i | ||||
\(609\) | −0.0825733 | + | 1.13509i | −0.00334604 | + | 0.0459962i | ||||
\(610\) | 0.649420 | + | 0.814347i | 0.0262942 | + | 0.0329719i | ||||
\(611\) | −8.27253 | + | 1.24688i | −0.334671 | + | 0.0504435i | ||||
\(612\) | −21.3924 | − | 14.5851i | −0.864738 | − | 0.589568i | ||||
\(613\) | −28.7059 | − | 19.5714i | −1.15942 | − | 0.790480i | −0.178320 | − | 0.983973i | \(-0.557066\pi\) |
−0.981102 | + | 0.193492i | \(0.938019\pi\) | |||||||
\(614\) | 24.7626 | − | 3.73236i | 0.999338 | − | 0.150626i | ||||
\(615\) | 1.14351 | + | 1.43392i | 0.0461109 | + | 0.0578212i | ||||
\(616\) | −26.0205 | + | 3.98004i | −1.04840 | + | 0.160360i | ||||
\(617\) | 12.2047 | − | 15.3043i | 0.491344 | − | 0.616126i | −0.472908 | − | 0.881112i | \(-0.656796\pi\) |
0.964252 | + | 0.264985i | \(0.0853671\pi\) | |||||||
\(618\) | 8.34482 | − | 14.4537i | 0.335678 | − | 0.581411i | ||||
\(619\) | 10.9182 | + | 18.9108i | 0.438838 | + | 0.760090i | 0.997600 | − | 0.0692382i | \(-0.0220568\pi\) |
−0.558762 | + | 0.829328i | \(0.688724\pi\) | |||||||
\(620\) | 3.11718 | + | 0.469840i | 0.125189 | + | 0.0188692i | ||||
\(621\) | −14.9612 | − | 13.8819i | −0.600371 | − | 0.557063i | ||||
\(622\) | −66.2699 | + | 31.9139i | −2.65718 | + | 1.27963i | ||||
\(623\) | 4.85263 | − | 21.4767i | 0.194417 | − | 0.860444i | ||||
\(624\) | −4.25852 | − | 2.05080i | −0.170477 | − | 0.0820975i | ||||
\(625\) | 8.68566 | + | 22.1307i | 0.347427 | + | 0.885228i | ||||
\(626\) | −3.18872 | − | 42.5505i | −0.127447 | − | 1.70066i | ||||
\(627\) | 2.87071 | − | 0.885498i | 0.114645 | − | 0.0353634i | ||||
\(628\) | −2.31334 | + | 30.8694i | −0.0923124 | + | 1.23182i | ||||
\(629\) | 3.75518 | + | 16.4525i | 0.149729 | + | 0.656004i | ||||
\(630\) | 0.414688 | + | 5.37620i | 0.0165215 | + | 0.214193i | ||||
\(631\) | −3.67424 | + | 16.0979i | −0.146269 | + | 0.640846i | 0.847633 | + | 0.530582i | \(0.178027\pi\) |
−0.993902 | + | 0.110264i | \(0.964830\pi\) | |||||||
\(632\) | −103.383 | − | 31.8895i | −4.11236 | − | 1.26850i | ||||
\(633\) | 0.957019 | − | 2.43845i | 0.0380381 | − | 0.0969195i | ||||
\(634\) | 0.914842 | − | 0.848849i | 0.0363330 | − | 0.0337121i | ||||
\(635\) | −2.36867 | + | 1.61493i | −0.0939976 | + | 0.0640865i | ||||
\(636\) | 5.37114 | 0.212980 | ||||||||
\(637\) | 5.15209 | + | 4.73877i | 0.204133 | + | 0.187757i | ||||
\(638\) | 3.00207 | 0.118853 | ||||||||
\(639\) | −20.2884 | + | 13.8324i | −0.802598 | + | 0.547202i | ||||
\(640\) | 0.551158 | − | 0.511399i | 0.0217864 | − | 0.0202148i | ||||
\(641\) | −12.2009 | + | 31.0873i | −0.481906 | + | 1.22788i | 0.458766 | + | 0.888557i | \(0.348292\pi\) |
−0.940672 | + | 0.339318i | \(0.889804\pi\) | |||||||
\(642\) | 21.1323 | + | 6.51844i | 0.834024 | + | 0.257262i | ||||
\(643\) | −1.25770 | + | 5.51036i | −0.0495990 | + | 0.217307i | −0.993654 | − | 0.112481i | \(-0.964120\pi\) |
0.944055 | + | 0.329788i | \(0.106977\pi\) | |||||||
\(644\) | −31.5875 | + | 81.0028i | −1.24472 | + | 3.19196i | ||||
\(645\) | −0.280924 | − | 1.23081i | −0.0110614 | − | 0.0484631i | ||||
\(646\) | 1.62512 | − | 21.6858i | 0.0639396 | − | 0.853215i | ||||
\(647\) | −26.7860 | + | 8.26239i | −1.05307 | + | 0.324828i | −0.772505 | − | 0.635008i | \(-0.780997\pi\) |
−0.280561 | + | 0.959836i | \(0.590521\pi\) | |||||||
\(648\) | 3.58458 | + | 47.8329i | 0.140816 | + | 1.87905i | ||||
\(649\) | −6.80694 | − | 17.3438i | −0.267196 | − | 0.680804i | ||||
\(650\) | −11.5228 | − | 5.54908i | −0.451961 | − | 0.217653i | ||||
\(651\) | 2.84237 | + | 1.36118i | 0.111401 | + | 0.0533490i | ||||
\(652\) | −38.8563 | + | 18.7122i | −1.52173 | + | 0.732826i | ||||
\(653\) | −10.9376 | − | 10.1486i | −0.428020 | − | 0.397145i | 0.436531 | − | 0.899689i | \(-0.356207\pi\) |
−0.864551 | + | 0.502544i | \(0.832397\pi\) | |||||||
\(654\) | −9.19983 | − | 1.38665i | −0.359742 | − | 0.0542224i | ||||
\(655\) | −1.85001 | − | 3.20430i | −0.0722857 | − | 0.125203i | ||||
\(656\) | 56.8037 | − | 98.3868i | 2.21781 | − | 3.84136i | ||||
\(657\) | 12.9321 | − | 16.2163i | 0.504529 | − | 0.632659i | ||||
\(658\) | −28.6724 | + | 49.9133i | −1.11777 | + | 1.94582i | ||||
\(659\) | 22.3619 | + | 28.0409i | 0.871096 | + | 1.09232i | 0.994985 | + | 0.100023i | \(0.0318917\pi\) |
−0.123890 | + | 0.992296i | \(0.539537\pi\) | |||||||
\(660\) | −0.964469 | + | 0.145370i | −0.0375419 | + | 0.00565853i | ||||
\(661\) | 22.8950 | + | 15.6096i | 0.890513 | + | 0.607142i | 0.919782 | − | 0.392430i | \(-0.128365\pi\) |
−0.0292685 | + | 0.999572i | \(0.509318\pi\) | |||||||
\(662\) | −6.90200 | − | 4.70570i | −0.268254 | − | 0.182892i | ||||
\(663\) | −1.01439 | + | 0.152895i | −0.0393957 | + | 0.00593794i | ||||
\(664\) | 2.74778 | + | 3.44561i | 0.106635 | + | 0.133716i | ||||
\(665\) | −2.63149 | + | 1.80254i | −0.102045 | + | 0.0698997i | ||||
\(666\) | 37.6219 | − | 47.1764i | 1.45782 | − | 1.82805i | ||||
\(667\) | 2.87608 | − | 4.98152i | 0.111362 | − | 0.192885i | ||||
\(668\) | 12.6831 | + | 21.9677i | 0.490723 | + | 0.849956i | ||||
\(669\) | −0.533005 | − | 0.0803375i | −0.0206071 | − | 0.00310603i | ||||
\(670\) | 0.404996 | + | 0.375782i | 0.0156464 | + | 0.0145177i | ||||
\(671\) | 1.74289 | − | 0.839333i | 0.0672836 | − | 0.0324021i | ||||
\(672\) | −11.6137 | + | 5.62413i | −0.448010 | + | 0.216956i | ||||
\(673\) | 13.6589 | + | 6.57776i | 0.526511 | + | 0.253554i | 0.678204 | − | 0.734873i | \(-0.262758\pi\) |
−0.151694 | + | 0.988428i | \(0.548473\pi\) | |||||||
\(674\) | −26.1595 | − | 66.6532i | −1.00763 | − | 2.56739i | ||||
\(675\) | −1.08719 | − | 14.5075i | −0.0418458 | − | 0.558394i | ||||
\(676\) | 4.55154 | − | 1.40396i | 0.175059 | − | 0.0539986i | ||||
\(677\) | −0.407566 | + | 5.43860i | −0.0156641 | + | 0.209022i | 0.983880 | + | 0.178830i | \(0.0572311\pi\) |
−0.999544 | + | 0.0301926i | \(0.990388\pi\) | |||||||
\(678\) | −1.49020 | − | 6.52901i | −0.0572310 | − | 0.250745i | ||||
\(679\) | −19.2765 | − | 2.86247i | −0.739765 | − | 0.109852i | ||||
\(680\) | −0.911406 | + | 3.99313i | −0.0349508 | + | 0.153129i | ||||
\(681\) | −1.23685 | − | 0.381519i | −0.0473963 | − | 0.0146198i | ||||
\(682\) | 3.03709 | − | 7.73839i | 0.116296 | − | 0.296318i | ||||
\(683\) | −22.3425 | + | 20.7309i | −0.854914 | + | 0.793244i | −0.980020 | − | 0.198899i | \(-0.936263\pi\) |
0.125106 | + | 0.992143i | \(0.460073\pi\) | |||||||
\(684\) | −45.2474 | + | 30.8492i | −1.73008 | + | 1.17955i | ||||
\(685\) | −1.67409 | −0.0639639 | ||||||||
\(686\) | 47.5779 | − | 7.49003i | 1.81653 | − | 0.285970i | ||||
\(687\) | −1.20703 | −0.0460510 | ||||||||
\(688\) | −64.6128 | + | 44.0523i | −2.46334 | + | 1.67948i | ||||
\(689\) | −1.60219 | + | 1.48662i | −0.0610387 | + | 0.0566356i | ||||
\(690\) | −0.969462 | + | 2.47015i | −0.0369068 | + | 0.0940370i | ||||
\(691\) | 21.8029 | + | 6.72529i | 0.829420 | + | 0.255842i | 0.680260 | − | 0.732971i | \(-0.261867\pi\) |
0.149160 | + | 0.988813i | \(0.452343\pi\) | |||||||
\(692\) | 11.9939 | − | 52.5486i | 0.455938 | − | 1.99760i | ||||
\(693\) | 9.90584 | + | 1.47097i | 0.376292 | + | 0.0558775i | ||||
\(694\) | 12.5305 | + | 54.8995i | 0.475650 | + | 2.08396i | ||||
\(695\) | 0.174354 | − | 2.32659i | 0.00661363 | − | 0.0882528i | ||||
\(696\) | 2.95373 | − | 0.911105i | 0.111961 | − | 0.0345354i | ||||
\(697\) | −1.84262 | − | 24.5881i | −0.0697942 | − | 0.931339i | ||||
\(698\) | −15.6905 | − | 39.9788i | −0.593895 | − | 1.51322i | ||||
\(699\) | −1.41005 | − | 0.679044i | −0.0533330 | − | 0.0256838i | ||||
\(700\) | −55.7787 | + | 27.0117i | −2.10824 | + | 1.02095i | ||||
\(701\) | −9.92005 | + | 4.77724i | −0.374675 | + | 0.180434i | −0.611738 | − | 0.791060i | \(-0.709529\pi\) |
0.237063 | + | 0.971494i | \(0.423815\pi\) | |||||||
\(702\) | 5.63955 | + | 5.23274i | 0.212851 | + | 0.197497i | ||||
\(703\) | 35.2951 | + | 5.31989i | 1.33118 | + | 0.200643i | ||||
\(704\) | 4.33466 | + | 7.50785i | 0.163369 | + | 0.282963i | ||||
\(705\) | −0.618655 | + | 1.07154i | −0.0232999 | + | 0.0403566i | ||||
\(706\) | −45.1699 | + | 56.6413i | −1.69999 | + | 2.13172i | ||||
\(707\) | 4.85642 | − | 3.32660i | 0.182644 | − | 0.125109i | ||||
\(708\) | −20.6186 | − | 25.8549i | −0.774895 | − | 0.971687i | ||||
\(709\) | 43.1823 | − | 6.50868i | 1.62175 | − | 0.244439i | 0.725573 | − | 0.688145i | \(-0.241575\pi\) |
0.896172 | + | 0.443706i | \(0.146337\pi\) | |||||||
\(710\) | 5.53254 | + | 3.77202i | 0.207633 | + | 0.141561i | ||||
\(711\) | 34.0081 | + | 23.1863i | 1.27540 | + | 0.869554i | ||||
\(712\) | −59.1332 | + | 8.91289i | −2.21611 | + | 0.334025i | ||||
\(713\) | −9.93117 | − | 12.4533i | −0.371925 | − | 0.466380i | ||||
\(714\) | −3.51586 | + | 6.12044i | −0.131578 | + | 0.229052i | ||||
\(715\) | 0.247463 | − | 0.310308i | 0.00925457 | − | 0.0116049i | ||||
\(716\) | −47.3142 | + | 81.9505i | −1.76821 | + | 3.06264i | ||||
\(717\) | 0.750711 | + | 1.30027i | 0.0280358 | + | 0.0485595i | ||||
\(718\) | −2.80009 | − | 0.422046i | −0.104498 | − | 0.0157506i | ||||
\(719\) | 11.7619 | + | 10.9134i | 0.438644 | + | 0.407002i | 0.868339 | − | 0.495972i | \(-0.165188\pi\) |
−0.429694 | + | 0.902974i | \(0.641379\pi\) | |||||||
\(720\) | 6.46854 | − | 3.11509i | 0.241068 | − | 0.116092i | ||||
\(721\) | 29.6821 | + | 14.2144i | 1.10542 | + | 0.529374i | ||||
\(722\) | 3.07688 | + | 1.48175i | 0.114510 | + | 0.0551449i | ||||
\(723\) | −5.29096 | − | 13.4812i | −0.196773 | − | 0.501370i | ||||
\(724\) | 5.80120 | + | 77.4117i | 0.215600 | + | 2.87698i | ||||
\(725\) | 3.91808 | − | 1.20857i | 0.145514 | − | 0.0448850i | ||||
\(726\) | 0.910735 | − | 12.1529i | 0.0338005 | − | 0.451037i | ||||
\(727\) | −8.05489 | − | 35.2908i | −0.298739 | − | 1.30886i | −0.872007 | − | 0.489494i | \(-0.837181\pi\) |
0.573267 | − | 0.819368i | \(-0.305676\pi\) | |||||||
\(728\) | 6.90724 | − | 17.7129i | 0.255999 | − | 0.656484i | ||||
\(729\) | 3.04185 | − | 13.3272i | 0.112661 | − | 0.493601i | ||||
\(730\) | −5.40480 | − | 1.66716i | −0.200040 | − | 0.0617043i | ||||
\(731\) | −6.20077 | + | 15.7993i | −0.229344 | + | 0.584358i | ||||
\(732\) | 2.51693 | − | 2.33537i | 0.0930286 | − | 0.0863179i | ||||
\(733\) | 6.39764 | − | 4.36183i | 0.236302 | − | 0.161108i | −0.439380 | − | 0.898301i | \(-0.644802\pi\) |
0.675682 | + | 0.737193i | \(0.263849\pi\) | |||||||
\(734\) | −51.7863 | −1.91147 | ||||||||
\(735\) | 1.02304 | − | 0.158767i | 0.0377354 | − | 0.00585621i | ||||
\(736\) | 65.2191 | 2.40401 | ||||||||
\(737\) | 0.847787 | − | 0.578011i | 0.0312286 | − | 0.0212913i | ||||
\(738\) | −64.6290 | + | 59.9670i | −2.37903 | + | 2.20741i | ||||
\(739\) | 8.33358 | − | 21.2336i | 0.306556 | − | 0.781091i | −0.691707 | − | 0.722178i | \(-0.743141\pi\) |
0.998263 | − | 0.0589133i | \(-0.0187635\pi\) | |||||||
\(740\) | −11.0738 | − | 3.41582i | −0.407081 | − | 0.125568i | ||||
\(741\) | −0.482823 | + | 2.11538i | −0.0177369 | + | 0.0777106i | ||||
\(742\) | 1.15654 | + | 14.9939i | 0.0424580 | + | 0.550445i | ||||
\(743\) | −11.6649 | − | 51.1072i | −0.427943 | − | 1.87494i | −0.481618 | − | 0.876381i | \(-0.659951\pi\) |
0.0536751 | − | 0.998558i | \(-0.482906\pi\) | |||||||
\(744\) | 0.639650 | − | 8.53553i | 0.0234507 | − | 0.312928i | ||||
\(745\) | 2.96457 | − | 0.914447i | 0.108613 | − | 0.0335028i | ||||
\(746\) | −1.56273 | − | 20.8532i | −0.0572156 | − | 0.763489i | ||||
\(747\) | −0.612550 | − | 1.56075i | −0.0224120 | − | 0.0571049i | ||||
\(748\) | 11.8142 | + | 5.68943i | 0.431971 | + | 0.208026i | ||||
\(749\) | −9.61089 | + | 42.5356i | −0.351174 | + | 1.55422i | ||||
\(750\) | −3.43687 | + | 1.65511i | −0.125497 | + | 0.0604361i | ||||
\(751\) | 29.4159 | + | 27.2940i | 1.07340 | + | 0.995972i | 0.999999 | − | 0.00133063i | \(-0.000423553\pi\) |
0.0734031 | + | 0.997302i | \(0.476614\pi\) | |||||||
\(752\) | 75.7871 | + | 11.4231i | 2.76367 | + | 0.416557i | ||||
\(753\) | 7.43090 | + | 12.8707i | 0.270797 | + | 0.469034i | ||||
\(754\) | −1.08413 | + | 1.87777i | −0.0394816 | + | 0.0683842i | ||||
\(755\) | −2.63912 | + | 3.30936i | −0.0960476 | + | 0.120440i | ||||
\(756\) | 36.8517 | − | 5.63675i | 1.34028 | − | 0.205007i | ||||
\(757\) | 14.1188 | + | 17.7045i | 0.513158 | + | 0.643480i | 0.969141 | − | 0.246509i | \(-0.0792835\pi\) |
−0.455983 | + | 0.889989i | \(0.650712\pi\) | |||||||
\(758\) | 59.9138 | − | 9.03056i | 2.17617 | − | 0.328005i | ||||
\(759\) | 4.07195 | + | 2.77621i | 0.147802 | + | 0.100770i | ||||
\(760\) | 7.15781 | + | 4.88011i | 0.259641 | + | 0.177020i | ||||
\(761\) | −9.06507 | + | 1.36634i | −0.328608 | + | 0.0495297i | −0.311275 | − | 0.950320i | \(-0.600756\pi\) |
−0.0173338 | + | 0.999850i | \(0.505518\pi\) | |||||||
\(762\) | 8.36611 | + | 10.4908i | 0.303072 | + | 0.380040i | ||||
\(763\) | 1.33108 | − | 18.2976i | 0.0481883 | − | 0.662418i | ||||
\(764\) | −9.54661 | + | 11.9711i | −0.345384 | + | 0.433098i | ||||
\(765\) | 0.779114 | − | 1.34946i | 0.0281689 | − | 0.0487900i | ||||
\(766\) | 7.85166 | + | 13.5995i | 0.283692 | + | 0.491369i | ||||
\(767\) | 13.3066 | + | 2.00564i | 0.480472 | + | 0.0724195i | ||||
\(768\) | −7.31593 | − | 6.78820i | −0.263991 | − | 0.244948i | ||||
\(769\) | 6.23927 | − | 3.00467i | 0.224994 | − | 0.108351i | −0.317991 | − | 0.948094i | \(-0.603008\pi\) |
0.542985 | + | 0.839742i | \(0.317294\pi\) | |||||||
\(770\) | −0.613487 | − | 2.66109i | −0.0221085 | − | 0.0958989i | ||||
\(771\) | −9.60984 | − | 4.62785i | −0.346090 | − | 0.166668i | ||||
\(772\) | −5.80737 | − | 14.7969i | −0.209012 | − | 0.532553i | ||||
\(773\) | −2.04269 | − | 27.2578i | −0.0734704 | − | 0.980395i | −0.905137 | − | 0.425120i | \(-0.860232\pi\) |
0.831667 | − | 0.555275i | \(-0.187387\pi\) | |||||||
\(774\) | 57.9914 | − | 17.8880i | 2.08446 | − | 0.642970i | ||||
\(775\) | 0.848485 | − | 11.3222i | 0.0304785 | − | 0.406707i | ||||
\(776\) | 11.7778 | + | 51.6021i | 0.422800 | + | 1.85241i | ||||
\(777\) | −9.58648 | − | 6.50536i | −0.343913 | − | 0.233378i | ||||
\(778\) | 10.8842 | − | 47.6869i | 0.390218 | − | 1.70966i | ||||
\(779\) | −49.8354 | − | 15.3722i | −1.78554 | − | 0.550765i | ||||
\(780\) | 0.257368 | − | 0.655764i | 0.00921527 | − | 0.0234801i | ||||
\(781\) | 9.11629 | − | 8.45868i | 0.326207 | − | 0.302676i | ||||
\(782\) | 29.4759 | − | 20.0963i | 1.05406 | − | 0.718643i | ||||
\(783\) | −2.46645 | −0.0881436 | ||||||||
\(784\) | −32.3066 | − | 55.3970i | −1.15381 | − | 1.97846i | ||||
\(785\) | −1.86303 | −0.0664945 | ||||||||
\(786\) | −14.3088 | + | 9.75560i | −0.510380 | + | 0.347971i | ||||
\(787\) | −37.3597 | + | 34.6647i | −1.33173 | + | 1.23566i | −0.381403 | + | 0.924409i | \(0.624559\pi\) |
−0.950326 | + | 0.311255i | \(0.899251\pi\) | |||||||
\(788\) | 25.8633 | − | 65.8987i | 0.921344 | − | 2.34755i | ||||
\(789\) | −2.70287 | − | 0.833725i | −0.0962247 | − | 0.0296814i | ||||
\(790\) | 2.49760 | − | 10.9427i | 0.0888607 | − | 0.389324i | ||||
\(791\) | 12.6104 | − | 3.91994i | 0.448373 | − | 0.139377i | ||||
\(792\) | −6.05241 | − | 26.5174i | −0.215063 | − | 0.942253i | ||||
\(793\) | −0.104411 | + | 1.39327i | −0.00370775 | + | 0.0494764i | ||||
\(794\) | −61.1551 | + | 18.8638i | −2.17031 | + | 0.669453i | ||||
\(795\) | 0.0241567 | + | 0.322349i | 0.000856751 | + | 0.0114325i | ||||
\(796\) | −20.7822 | − | 52.9521i | −0.736605 | − | 1.87684i | ||||
\(797\) | 9.19325 | + | 4.42723i | 0.325641 | + | 0.156821i | 0.589561 | − | 0.807724i | \(-0.299301\pi\) |
−0.263919 | + | 0.964545i | \(0.585015\pi\) | |||||||
\(798\) | 9.33373 | + | 11.6519i | 0.330410 | + | 0.412472i | ||||
\(799\) | 14.9871 | − | 7.21740i | 0.530205 | − | 0.255333i | ||||
\(800\) | 34.0790 | + | 31.6207i | 1.20487 | + | 1.11796i | ||||
\(801\) | 22.4968 | + | 3.39085i | 0.794886 | + | 0.119810i | ||||
\(802\) | −14.2916 | − | 24.7537i | −0.504653 | − | 0.874085i | ||||
\(803\) | −5.25231 | + | 9.09726i | −0.185350 | + | 0.321035i | ||||
\(804\) | 1.13550 | − | 1.42387i | 0.0400460 | − | 0.0502161i | ||||
\(805\) | −5.00345 | − | 1.53141i | −0.176349 | − | 0.0539753i | ||||
\(806\) | 3.74351 | + | 4.69422i | 0.131860 | + | 0.165347i | ||||
\(807\) | 12.8284 | − | 1.93358i | 0.451583 | − | 0.0680652i | ||||
\(808\) | −13.2097 | − | 9.00624i | −0.464717 | − | 0.316838i | ||||
\(809\) | −4.15999 | − | 2.83624i | −0.146258 | − | 0.0997167i | 0.487980 | − | 0.872855i | \(-0.337734\pi\) |
−0.634238 | + | 0.773138i | \(0.718686\pi\) | |||||||
\(810\) | −4.92074 | + | 0.741682i | −0.172897 | + | 0.0260601i | ||||
\(811\) | −0.874994 | − | 1.09721i | −0.0307252 | − | 0.0385282i | 0.766232 | − | 0.642565i | \(-0.222130\pi\) |
−0.796957 | + | 0.604036i | \(0.793558\pi\) | |||||||
\(812\) | 3.85997 | + | 9.77231i | 0.135459 | + | 0.342941i | ||||
\(813\) | −4.29613 | + | 5.38718i | −0.150672 | + | 0.188937i | ||||
\(814\) | −15.2800 | + | 26.4657i | −0.535562 | + | 0.927621i | ||||
\(815\) | −1.29777 | − | 2.24780i | −0.0454589 | − | 0.0787371i | ||||
\(816\) | 9.29314 | + | 1.40072i | 0.325325 | + | 0.0490348i | ||||
\(817\) | 26.3157 | + | 24.4174i | 0.920671 | + | 0.854258i | ||||
\(818\) | 14.1500 | − | 6.81428i | 0.494743 | − | 0.238256i | ||||
\(819\) | −4.49735 | + | 5.66481i | −0.157150 | + | 0.197944i | ||||
\(820\) | 15.2554 | + | 7.34662i | 0.532742 | + | 0.256555i | ||||
\(821\) | −7.86254 | − | 20.0334i | −0.274405 | − | 0.699171i | −0.999940 | − | 0.0109862i | \(-0.996503\pi\) |
0.725535 | − | 0.688185i | \(-0.241592\pi\) | |||||||
\(822\) | 0.585560 | + | 7.81376i | 0.0204238 | + | 0.272536i | ||||
\(823\) | 51.7545 | − | 15.9641i | 1.80405 | − | 0.556475i | 0.804739 | − | 0.593629i | \(-0.202305\pi\) |
0.999310 | + | 0.0371543i | \(0.0118293\pi\) | |||||||
\(824\) | 6.67967 | − | 89.1340i | 0.232697 | − | 3.10513i | ||||
\(825\) | 0.781710 | + | 3.42489i | 0.0272156 | + | 0.119239i | ||||
\(826\) | 67.7362 | − | 63.1256i | 2.35684 | − | 2.19642i | ||||
\(827\) | 2.00586 | − | 8.78824i | 0.0697505 | − | 0.305597i | −0.928004 | − | 0.372569i | \(-0.878477\pi\) |
0.997755 | + | 0.0669725i | \(0.0213340\pi\) | |||||||
\(828\) | −85.8465 | − | 26.4801i | −2.98337 | − | 0.920249i | ||||
\(829\) | 4.10424 | − | 10.4574i | 0.142546 | − | 0.363201i | −0.841715 | − | 0.539922i | \(-0.818454\pi\) |
0.984261 | + | 0.176721i | \(0.0565489\pi\) | |||||||
\(830\) | −0.335161 | + | 0.310984i | −0.0116336 | + | 0.0107944i | ||||
\(831\) | 3.29060 | − | 2.24349i | 0.114150 | − | 0.0778258i | ||||
\(832\) | −6.26146 | −0.217077 | ||||||||
\(833\) | −12.5663 | − | 5.98419i | −0.435396 | − | 0.207340i | ||||
\(834\) | −10.9203 | −0.378137 | ||||||||
\(835\) | −1.26135 | + | 0.859975i | −0.0436509 | + | 0.0297607i | ||||
\(836\) | 20.3312 | − | 18.8646i | 0.703170 | − | 0.652446i | ||||
\(837\) | −2.49522 | + | 6.35773i | −0.0862476 | + | 0.219755i | ||||
\(838\) | 67.6233 | + | 20.8590i | 2.33601 | + | 0.720563i | ||||
\(839\) | −11.7643 | + | 51.5426i | −0.406147 | + | 1.77945i | 0.195520 | + | 0.980700i | \(0.437361\pi\) |
−0.601667 | + | 0.798747i | \(0.705496\pi\) | |||||||
\(840\) | −1.41123 | − | 2.43205i | −0.0486920 | − | 0.0839137i | ||||
\(841\) | 6.29842 | + | 27.5952i | 0.217187 | + | 0.951559i | ||||
\(842\) | 4.93576 | − | 65.8632i | 0.170098 | − | 2.26980i | ||||
\(843\) | 7.92874 | − | 2.44569i | 0.273080 | − | 0.0842341i | ||||
\(844\) | −1.80726 | − | 24.1162i | −0.0622084 | − | 0.830113i | ||||
\(845\) | 0.104729 | + | 0.266846i | 0.00360280 | + | 0.00917979i | ||||
\(846\) | −53.5883 | − | 25.8067i | −1.84240 | − | 0.887254i | ||||
\(847\) | 24.0313 | − | 0.0524308i | 0.825726 | − | 0.00180154i | ||||
\(848\) | 18.0404 | − | 8.68782i | 0.619511 | − | 0.298341i | ||||
\(849\) | 7.39715 | + | 6.86355i | 0.253869 | + | 0.235556i | ||||
\(850\) | 25.1455 | + | 3.79008i | 0.862485 | + | 0.129999i | ||||
\(851\) | 29.2775 | + | 50.7101i | 1.00362 | + | 1.73832i | ||||
\(852\) | 11.0365 | − | 19.1157i | 0.378103 | − | 0.654894i | ||||
\(853\) | −24.7549 | + | 31.0417i | −0.847593 | + | 1.06285i | 0.149657 | + | 0.988738i | \(0.452183\pi\) |
−0.997250 | + | 0.0741097i | \(0.976388\pi\) | |||||||
\(854\) | 7.06133 | + | 6.52335i | 0.241634 | + | 0.223224i | ||||
\(855\) | −2.05491 | − | 2.57678i | −0.0702766 | − | 0.0881241i | ||||
\(856\) | 117.116 | − | 17.6524i | 4.00295 | − | 0.603348i | ||||
\(857\) | 33.2901 | + | 22.6968i | 1.13717 | + | 0.775308i | 0.977306 | − | 0.211832i | \(-0.0679429\pi\) |
0.159861 | + | 0.987139i | \(0.448895\pi\) | |||||||
\(858\) | −1.53491 | − | 1.04648i | −0.0524008 | − | 0.0357263i | ||||
\(859\) | 15.9072 | − | 2.39762i | 0.542746 | − | 0.0818057i | 0.128053 | − | 0.991767i | \(-0.459127\pi\) |
0.414693 | + | 0.909962i | \(0.363889\pi\) | |||||||
\(860\) | −7.26692 | − | 9.11243i | −0.247800 | − | 0.310731i | ||||
\(861\) | 12.4337 | + | 11.4865i | 0.423741 | + | 0.391457i | ||||
\(862\) | −16.0661 | + | 20.1463i | −0.547215 | + | 0.686186i | ||||
\(863\) | 9.07595 | − | 15.7200i | 0.308949 | − | 0.535115i | −0.669184 | − | 0.743097i | \(-0.733356\pi\) |
0.978133 | + | 0.207982i | \(0.0666894\pi\) | |||||||
\(864\) | −13.9825 | − | 24.2184i | −0.475694 | − | 0.823926i | ||||
\(865\) | 3.20765 | + | 0.483475i | 0.109063 | + | 0.0164386i | ||||
\(866\) | 67.1244 | + | 62.2824i | 2.28098 | + | 2.11644i | ||||
\(867\) | −6.06451 | + | 2.92051i | −0.205961 | + | 0.0991858i | ||||
\(868\) | 29.0950 | − | 0.0634784i | 0.987548 | − | 0.00215460i | ||||
\(869\) | −18.7813 | − | 9.04462i | −0.637113 | − | 0.306818i | ||||
\(870\) | 0.117158 | + | 0.298513i | 0.00397202 | + | 0.0101206i | ||||
\(871\) | 0.0553818 | + | 0.739018i | 0.00187654 | + | 0.0250407i | ||||
\(872\) | −47.6140 | + | 14.6870i | −1.61241 | + | 0.497363i | ||||
\(873\) | 1.50481 | − | 20.0802i | 0.0509300 | − | 0.679613i | ||||
\(874\) | −16.7906 | − | 73.5643i | −0.567950 | − | 2.48835i | ||||
\(875\) | −3.77523 | − | 6.50606i | −0.127626 | − | 0.219945i | ||||
\(876\) | −4.14885 | + | 18.1773i | −0.140177 | + | 0.614154i | ||||
\(877\) | 29.4735 | + | 9.09138i | 0.995251 | + | 0.306994i | 0.749258 | − | 0.662278i | \(-0.230410\pi\) |
0.245992 | + | 0.969272i | \(0.420886\pi\) | |||||||
\(878\) | 3.36599 | − | 8.57641i | 0.113597 | − | 0.289440i | ||||
\(879\) | −8.86308 | + | 8.22374i | −0.298944 | + | 0.277380i | ||||
\(880\) | −3.00430 | + | 2.04830i | −0.101275 | + | 0.0690480i | ||||
\(881\) | 10.6989 | 0.360455 | 0.180228 | − | 0.983625i | \(-0.442317\pi\) | ||||
0.180228 | + | 0.983625i | \(0.442317\pi\) | |||||||
\(882\) | 11.2858 | + | 48.4705i | 0.380013 | + | 1.63209i | ||||
\(883\) | 1.00570 | 0.0338443 | 0.0169222 | − | 0.999857i | \(-0.494613\pi\) | ||||
0.0169222 | + | 0.999857i | \(0.494613\pi\) | |||||||
\(884\) | −7.82512 | + | 5.33508i | −0.263187 | + | 0.179438i | ||||
\(885\) | 1.45895 | − | 1.35371i | 0.0490421 | − | 0.0455044i | ||||
\(886\) | −0.603511 | + | 1.53772i | −0.0202754 | + | 0.0516608i | ||||
\(887\) | −41.0629 | − | 12.6662i | −1.37876 | − | 0.425290i | −0.485264 | − | 0.874368i | \(-0.661277\pi\) |
−0.893493 | + | 0.449077i | \(0.851753\pi\) | |||||||
\(888\) | −7.00181 | + | 30.6769i | −0.234965 | + | 1.02945i | ||||
\(889\) | −19.3567 | + | 18.0391i | −0.649201 | + | 0.605012i | ||||
\(890\) | −1.38053 | − | 6.04850i | −0.0462755 | − | 0.202746i | ||||
\(891\) | −0.690667 | + | 9.21631i | −0.0231382 | + | 0.308758i | ||||
\(892\) | −4.75527 | + | 1.46681i | −0.159218 | + | 0.0491123i | ||||
\(893\) | −2.62928 | − | 35.0853i | −0.0879854 | − | 1.17408i | ||||
\(894\) | −5.30508 | − | 13.5171i | −0.177428 | − | 0.452080i | ||||
\(895\) | −5.13106 | − | 2.47099i | −0.171512 | − | 0.0825960i | ||||
\(896\) | 4.31477 | − | 5.43484i | 0.144146 | − | 0.181565i | ||||
\(897\) | −3.20699 | + | 1.54440i | −0.107078 | + | 0.0515661i | ||||
\(898\) | −25.7851 | − | 23.9251i | −0.860460 | − | 0.798390i | ||||
\(899\) | −1.90342 | − | 0.286894i | −0.0634825 | − | 0.00956844i | ||||
\(900\) | −32.0189 | − | 55.4584i | −1.06730 | − | 1.84861i | ||||
\(901\) | 2.17291 | − | 3.76359i | 0.0723901 | − | 0.125383i | ||||
\(902\) | 27.8396 | − | 34.9097i | 0.926957 | − | 1.16237i | ||||
\(903\) | −4.28057 | − | 10.8371i | −0.142449 | − | 0.360637i | ||||
\(904\) | −22.3623 | − | 28.0415i | −0.743760 | − | 0.932646i | ||||
\(905\) | −4.61977 | + | 0.696319i | −0.153566 | + | 0.0231464i | ||||
\(906\) | 16.3694 | + | 11.1605i | 0.543836 | + | 0.370781i | ||||
\(907\) | −30.5992 | − | 20.8622i | −1.01603 | − | 0.692718i | −0.0637572 | − | 0.997965i | \(-0.520308\pi\) |
−0.952273 | + | 0.305248i | \(0.901261\pi\) | |||||||
\(908\) | −11.8162 | + | 1.78101i | −0.392135 | + | 0.0591049i | ||||
\(909\) | 3.79234 | + | 4.75545i | 0.125784 | + | 0.157728i | ||||
\(910\) | 1.88603 | + | 0.577260i | 0.0625213 | + | 0.0191360i | ||||
\(911\) | 21.1980 | − | 26.5814i | 0.702320 | − | 0.880681i | −0.294875 | − | 0.955536i | \(-0.595278\pi\) |
0.997194 | + | 0.0748550i | \(0.0238494\pi\) | |||||||
\(912\) | 9.93903 | − | 17.2149i | 0.329114 | − | 0.570042i | ||||
\(913\) | 0.424574 | + | 0.735384i | 0.0140513 | + | 0.0243376i | ||||
\(914\) | 87.0739 | + | 13.1243i | 2.88015 | + | 0.434113i | ||||
\(915\) | 0.151478 | + | 0.140551i | 0.00500769 | + | 0.00464646i | ||||
\(916\) | −10.0399 | + | 4.83497i | −0.331728 | + | 0.159752i | ||||
\(917\) | −21.3499 | − | 26.6525i | −0.705037 | − | 0.880142i | ||||
\(918\) | −13.7820 | − | 6.63704i | −0.454873 | − | 0.219055i | ||||
\(919\) | −2.91863 | − | 7.43655i | −0.0962767 | − | 0.245309i | 0.874619 | − | 0.484810i | \(-0.161111\pi\) |
−0.970896 | + | 0.239501i | \(0.923016\pi\) | |||||||
\(920\) | 1.06204 | + | 14.1719i | 0.0350144 | + | 0.467235i | ||||
\(921\) | 4.74740 | − | 1.46438i | 0.156432 | − | 0.0482529i | ||||
\(922\) | −0.717161 | + | 9.56984i | −0.0236184 | + | 0.315166i | ||||
\(923\) | 1.99869 | + | 8.75682i | 0.0657876 | + | 0.288234i | ||||
\(924\) | −8.59637 | + | 2.67218i | −0.282800 | + | 0.0879084i | ||||
\(925\) | −9.28778 | + | 40.6924i | −0.305380 | + | 1.33796i | ||||
\(926\) | −71.9026 | − | 22.1790i | −2.36287 | − | 0.728848i | ||||
\(927\) | −12.4236 | + | 31.6549i | −0.408045 | + | 1.03968i | ||||
\(928\) | 5.77763 | − | 5.36086i | 0.189660 | − | 0.175979i | ||||
\(929\) | −42.3993 | + | 28.9073i | −1.39108 | + | 0.948419i | −0.391474 | + | 0.920189i | \(0.628035\pi\) |
−0.999601 | + | 0.0282298i | \(0.991013\pi\) | |||||||
\(930\) | 0.887999 | 0.0291186 | ||||||||
\(931\) | −21.4927 | + | 20.1176i | −0.704396 | + | 0.659327i | ||||
\(932\) | −14.4486 | −0.473281 | ||||||||
\(933\) | −12.0567 | + | 8.22013i | −0.394719 | + | 0.269115i | ||||
\(934\) | 1.04283 | − | 0.967604i | 0.0341224 | − | 0.0316610i | ||||
\(935\) | −0.288317 | + | 0.734619i | −0.00942896 | + | 0.0240246i | ||||
\(936\) | 18.7721 | + | 5.79041i | 0.613584 | + | 0.189266i | ||||
\(937\) | −2.60572 | + | 11.4164i | −0.0851252 | + | 0.372958i | −0.999490 | − | 0.0319336i | \(-0.989833\pi\) |
0.914365 | + | 0.404891i | \(0.132691\pi\) | |||||||
\(938\) | 4.21934 | + | 2.86324i | 0.137766 | + | 0.0934880i | ||||
\(939\) | −1.88369 | − | 8.25297i | −0.0614718 | − | 0.269325i | ||||
\(940\) | −0.853643 | + | 11.3911i | −0.0278428 | + | 0.371536i | ||||
\(941\) | −9.33136 | + | 2.87834i | −0.304193 | + | 0.0938313i | −0.443094 | − | 0.896475i | \(-0.646119\pi\) |
0.138901 | + | 0.990306i | \(0.455643\pi\) | |||||||
\(942\) | 0.651647 | + | 8.69562i | 0.0212318 | + | 0.283319i | ||||
\(943\) | −31.2567 | − | 79.6408i | −1.01786 | − | 2.59346i | ||||
\(944\) | −111.074 | − | 53.4902i | −3.61514 | − | 1.74096i | ||||
\(945\) | 0.504030 | + | 2.18630i | 0.0163961 | + | 0.0711204i | ||||
\(946\) | −27.6917 | + | 13.3356i | −0.900335 | + | 0.433579i | ||||
\(947\) | 4.74311 | + | 4.40096i | 0.154130 | + | 0.143012i | 0.753469 | − | 0.657484i | \(-0.228379\pi\) |
−0.599338 | + | 0.800496i | \(0.704570\pi\) | |||||||
\(948\) | −36.5860 | − | 5.51446i | −1.18826 | − | 0.179101i | ||||
\(949\) | −3.79350 | − | 6.57054i | −0.123142 | − | 0.213289i | ||||
\(950\) | 26.8932 | − | 46.5804i | 0.872530 | − | 1.51127i | ||||
\(951\) | 0.154368 | − | 0.193572i | 0.00500573 | − | 0.00627699i | ||||
\(952\) | −2.74272 | + | 37.7028i | −0.0888922 | + | 1.22195i | ||||
\(953\) | 19.0012 | + | 23.8267i | 0.615508 | + | 0.771822i | 0.987705 | − | 0.156332i | \(-0.0499668\pi\) |
−0.372197 | + | 0.928154i | \(0.621395\pi\) | |||||||
\(954\) | −15.3655 | + | 2.31597i | −0.497475 | + | 0.0749824i | ||||
\(955\) | −0.761380 | − | 0.519100i | −0.0246377 | − | 0.0167977i | ||||
\(956\) | 11.4528 | + | 7.80837i | 0.370409 | + | 0.252541i | ||||
\(957\) | 0.588924 | − | 0.0887661i | 0.0190372 | − | 0.00286940i | ||||
\(958\) | −59.9078 | − | 75.1221i | −1.93553 | − | 2.42708i | ||||
\(959\) | −15.2734 | + | 2.33619i | −0.493205 | + | 0.0754395i | ||||
\(960\) | −0.577387 | + | 0.724020i | −0.0186351 | + | 0.0233677i | ||||
\(961\) | 12.8349 | − | 22.2306i | 0.414027 | − | 0.717117i | ||||
\(962\) | −11.0360 | − | 19.1150i | −0.355816 | − | 0.616291i | ||||
\(963\) | −44.5561 | − | 6.71575i | −1.43580 | − | 0.216412i | ||||
\(964\) | −98.0107 | − | 90.9406i | −3.15671 | − | 2.92900i | ||||
\(965\) | 0.861920 | − | 0.415079i | 0.0277462 | − | 0.0133619i | ||||
\(966\) | −5.39771 | + | 23.8890i | −0.173668 | + | 0.768617i | ||||
\(967\) | −33.9023 | − | 16.3265i | −1.09022 | − | 0.525024i | −0.199652 | − | 0.979867i | \(-0.563981\pi\) |
−0.890572 | + | 0.454843i | \(0.849695\pi\) | |||||||
\(968\) | −23.8456 | − | 60.7575i | −0.766425 | − | 1.95282i | ||||
\(969\) | −0.322406 | − | 4.30221i | −0.0103572 | − | 0.138207i | ||||
\(970\) | −5.24717 | + | 1.61854i | −0.168476 | + | 0.0519681i | ||||
\(971\) | −0.154505 | + | 2.06172i | −0.00495829 | + | 0.0661638i | −0.999134 | − | 0.0416070i | \(-0.986752\pi\) |
0.994176 | + | 0.107771i | \(0.0343713\pi\) | |||||||
\(972\) | 13.0566 | + | 57.2047i | 0.418791 | + | 1.83484i | ||||
\(973\) | −1.65605 | − | 21.4698i | −0.0530905 | − | 0.688289i | ||||
\(974\) | −16.1710 | + | 70.8499i | −0.518153 | + | 2.27018i | ||||
\(975\) | −2.42454 | − | 0.747870i | −0.0776473 | − | 0.0239510i | ||||
\(976\) | 4.67635 | − | 11.9151i | 0.149686 | − | 0.381394i | ||||
\(977\) | −2.44612 | + | 2.26967i | −0.0782585 | + | 0.0726132i | −0.718332 | − | 0.695700i | \(-0.755094\pi\) |
0.640074 | + | 0.768313i | \(0.278904\pi\) | |||||||
\(978\) | −10.0376 | + | 6.84351i | −0.320967 | + | 0.218831i | ||||
\(979\) | −11.5223 | −0.368255 | ||||||||
\(980\) | 7.87355 | − | 5.41857i | 0.251511 | − | 0.173090i | ||||
\(981\) | 18.9566 | 0.605238 | ||||||||
\(982\) | 85.0571 | − | 57.9909i | 2.71428 | − | 1.85057i | ||||
\(983\) | −23.7160 | + | 22.0052i | −0.756422 | + | 0.701857i | −0.960864 | − | 0.277021i | \(-0.910653\pi\) |
0.204441 | + | 0.978879i | \(0.434462\pi\) | |||||||
\(984\) | 16.7965 | − | 42.7968i | 0.535453 | − | 1.36431i | ||||
\(985\) | 4.07124 | + | 1.25581i | 0.129720 | + | 0.0400134i | ||||
\(986\) | 0.959340 | − | 4.20314i | 0.0305516 | − | 0.133855i | ||||
\(987\) | −4.14891 | + | 10.6394i | −0.132061 | + | 0.338657i | ||||
\(988\) | 4.45749 | + | 19.5295i | 0.141812 | + | 0.621317i | ||||
\(989\) | −4.40096 | + | 58.7267i | −0.139942 | + | 1.86740i | ||||
\(990\) | 2.69642 | − | 0.831735i | 0.0856978 | − | 0.0264343i | ||||
\(991\) | −1.67074 | − | 22.2945i | −0.0530729 | − | 0.708208i | −0.958752 | − | 0.284244i | \(-0.908257\pi\) |
0.905679 | − | 0.423964i | \(-0.139362\pi\) | |||||||
\(992\) | −7.97358 | − | 20.3163i | −0.253161 | − | 0.645044i | ||||
\(993\) | −1.49313 | − | 0.719051i | −0.0473829 | − | 0.0228184i | ||||
\(994\) | 55.7394 | + | 26.6930i | 1.76795 | + | 0.846651i | ||||
\(995\) | 3.08446 | − | 1.48540i | 0.0977838 | − | 0.0470902i | ||||
\(996\) | 1.10483 | + | 1.02513i | 0.0350078 | + | 0.0324825i | ||||
\(997\) | −17.0263 | − | 2.56630i | −0.539227 | − | 0.0812754i | −0.126218 | − | 0.992002i | \(-0.540284\pi\) |
−0.413009 | + | 0.910727i | \(0.635522\pi\) | |||||||
\(998\) | −25.9340 | − | 44.9190i | −0.820926 | − | 1.42189i | ||||
\(999\) | 12.5538 | − | 21.7437i | 0.397183 | − | 0.687942i |
(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 | 637.2.bl.a.625.27 | yes | 324 | |
49.4 | even | 21 | inner | 637.2.bl.a.53.27 | ✓ | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.27 | ✓ | 324 | 49.4 | even | 21 | inner | |
637.2.bl.a.625.27 | yes | 324 | 1.1 | even | 1 | trivial |