Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(191,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.191");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.h (of order \(5\), degree \(4\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 381.5 | ||
Character | \(\chi\) | \(=\) | 950.381 |
Dual form | 950.2.h.d.571.5 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | −0.628367 | + | 0.456535i | −0.362788 | + | 0.263581i | −0.754214 | − | 0.656629i | \(-0.771982\pi\) |
0.391426 | + | 0.920209i | \(0.371982\pi\) | |||||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | −0.766450 | + | 2.10061i | −0.342767 | + | 0.939421i | ||||
\(6\) | 0.628367 | + | 0.456535i | 0.256530 | + | 0.186380i | ||||
\(7\) | −4.62972 | −1.74987 | −0.874934 | − | 0.484241i | \(-0.839096\pi\) | ||||
−0.874934 | + | 0.484241i | \(0.839096\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | −0.740631 | + | 2.27943i | −0.246877 | + | 0.759809i | ||||
\(10\) | 2.23464 | + | 0.0798131i | 0.706656 | + | 0.0252391i | ||||
\(11\) | 0.182320 | + | 0.561123i | 0.0549715 | + | 0.169185i | 0.974773 | − | 0.223200i | \(-0.0716502\pi\) |
−0.919801 | + | 0.392385i | \(0.871650\pi\) | |||||||
\(12\) | 0.240015 | − | 0.738689i | 0.0692863 | − | 0.213241i | ||||
\(13\) | 1.06588 | − | 3.28045i | 0.295623 | − | 0.909833i | −0.687389 | − | 0.726289i | \(-0.741243\pi\) |
0.983012 | − | 0.183543i | \(-0.0587568\pi\) | |||||||
\(14\) | 1.43066 | + | 4.40312i | 0.382360 | + | 1.17678i | ||||
\(15\) | −0.477390 | − | 1.66986i | −0.123262 | − | 0.431157i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 6.08749 | + | 4.42282i | 1.47643 | + | 1.07269i | 0.978685 | + | 0.205369i | \(0.0658394\pi\) |
0.497748 | + | 0.867322i | \(0.334161\pi\) | |||||||
\(18\) | 2.39673 | 0.564915 | ||||||||
\(19\) | 0.809017 | + | 0.587785i | 0.185601 | + | 0.134847i | ||||
\(20\) | −0.614636 | − | 2.14994i | −0.137437 | − | 0.480740i | ||||
\(21\) | 2.90916 | − | 2.11363i | 0.634831 | − | 0.461232i | ||||
\(22\) | 0.477319 | − | 0.346793i | 0.101765 | − | 0.0739365i | ||||
\(23\) | −2.36429 | − | 7.27655i | −0.492989 | − | 1.51727i | −0.820067 | − | 0.572268i | \(-0.806064\pi\) |
0.327078 | − | 0.944998i | \(-0.393936\pi\) | |||||||
\(24\) | −0.776704 | −0.158544 | ||||||||
\(25\) | −3.82511 | − | 3.22002i | −0.765022 | − | 0.644004i | ||||
\(26\) | −3.44927 | −0.676457 | ||||||||
\(27\) | −1.29529 | − | 3.98651i | −0.249280 | − | 0.767204i | ||||
\(28\) | 3.74552 | − | 2.72128i | 0.707837 | − | 0.514274i | ||||
\(29\) | −7.65136 | + | 5.55904i | −1.42082 | + | 1.03229i | −0.429188 | + | 0.903215i | \(0.641200\pi\) |
−0.991635 | + | 0.129073i | \(0.958800\pi\) | |||||||
\(30\) | −1.44061 | + | 0.970041i | −0.263019 | + | 0.177104i | ||||
\(31\) | −7.03302 | − | 5.10979i | −1.26317 | − | 0.917746i | −0.264260 | − | 0.964452i | \(-0.585128\pi\) |
−0.998909 | + | 0.0467060i | \(0.985128\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.370736 | − | 0.269355i | −0.0645368 | − | 0.0468888i | ||||
\(34\) | 2.32521 | − | 7.15627i | 0.398771 | − | 1.22729i | ||||
\(35\) | 3.54844 | − | 9.72522i | 0.599797 | − | 1.64386i | ||||
\(36\) | −0.740631 | − | 2.27943i | −0.123438 | − | 0.379904i | ||||
\(37\) | 1.23211 | − | 3.79205i | 0.202558 | − | 0.623409i | −0.797247 | − | 0.603653i | \(-0.793711\pi\) |
0.999805 | − | 0.0197560i | \(-0.00628893\pi\) | |||||||
\(38\) | 0.309017 | − | 0.951057i | 0.0501292 | − | 0.154282i | ||||
\(39\) | 0.827875 | + | 2.54794i | 0.132566 | + | 0.407996i | ||||
\(40\) | −1.85478 | + | 1.24892i | −0.293266 | + | 0.197472i | ||||
\(41\) | −0.136679 | + | 0.420654i | −0.0213456 | + | 0.0656951i | −0.961162 | − | 0.275985i | \(-0.910996\pi\) |
0.939816 | + | 0.341680i | \(0.110996\pi\) | |||||||
\(42\) | −2.90916 | − | 2.11363i | −0.448893 | − | 0.326140i | ||||
\(43\) | 7.68977 | 1.17268 | 0.586340 | − | 0.810065i | \(-0.300568\pi\) | ||||
0.586340 | + | 0.810065i | \(0.300568\pi\) | |||||||
\(44\) | −0.477319 | − | 0.346793i | −0.0719586 | − | 0.0522810i | ||||
\(45\) | −4.22053 | − | 3.30284i | −0.629159 | − | 0.492358i | ||||
\(46\) | −6.18980 | + | 4.49715i | −0.912636 | + | 0.663069i | ||||
\(47\) | 7.46499 | − | 5.42364i | 1.08888 | − | 0.791119i | 0.109671 | − | 0.993968i | \(-0.465020\pi\) |
0.979210 | + | 0.202849i | \(0.0650202\pi\) | |||||||
\(48\) | 0.240015 | + | 0.738689i | 0.0346431 | + | 0.106621i | ||||
\(49\) | 14.4343 | 2.06204 | ||||||||
\(50\) | −1.88040 | + | 4.63294i | −0.265928 | + | 0.655196i | ||||
\(51\) | −5.84434 | −0.818372 | ||||||||
\(52\) | 1.06588 | + | 3.28045i | 0.147811 | + | 0.454916i | ||||
\(53\) | −2.55770 | + | 1.85827i | −0.351326 | + | 0.255254i | −0.749425 | − | 0.662089i | \(-0.769670\pi\) |
0.398099 | + | 0.917343i | \(0.369670\pi\) | |||||||
\(54\) | −3.39113 | + | 2.46380i | −0.461474 | + | 0.335280i | ||||
\(55\) | −1.31844 | − | 0.0470897i | −0.177778 | − | 0.00634957i | ||||
\(56\) | −3.74552 | − | 2.72128i | −0.500516 | − | 0.363646i | ||||
\(57\) | −0.776704 | −0.102877 | ||||||||
\(58\) | 7.65136 | + | 5.55904i | 1.00467 | + | 0.729938i | ||||
\(59\) | 2.02419 | − | 6.22981i | 0.263527 | − | 0.811053i | −0.728502 | − | 0.685044i | \(-0.759783\pi\) |
0.992029 | − | 0.126009i | \(-0.0402168\pi\) | |||||||
\(60\) | 1.36774 | + | 1.07034i | 0.176574 | + | 0.138181i | ||||
\(61\) | −2.74269 | − | 8.44112i | −0.351165 | − | 1.08077i | −0.958200 | − | 0.286100i | \(-0.907641\pi\) |
0.607035 | − | 0.794675i | \(-0.292359\pi\) | |||||||
\(62\) | −2.68638 | + | 8.26782i | −0.341170 | + | 1.05001i | ||||
\(63\) | 3.42891 | − | 10.5531i | 0.432002 | − | 1.32957i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 6.07399 | + | 4.75330i | 0.753386 | + | 0.589574i | ||||
\(66\) | −0.141609 | + | 0.435826i | −0.0174308 | + | 0.0536465i | ||||
\(67\) | −0.436653 | − | 0.317247i | −0.0533457 | − | 0.0387579i | 0.560793 | − | 0.827956i | \(-0.310496\pi\) |
−0.614139 | + | 0.789198i | \(0.710496\pi\) | |||||||
\(68\) | −7.52455 | −0.912485 | ||||||||
\(69\) | 4.80764 | + | 3.49296i | 0.578772 | + | 0.420503i | ||||
\(70\) | −10.3458 | − | 0.369512i | −1.23656 | − | 0.0441652i | ||||
\(71\) | −4.90045 | + | 3.56039i | −0.581577 | + | 0.422540i | −0.839292 | − | 0.543681i | \(-0.817030\pi\) |
0.257716 | + | 0.966221i | \(0.417030\pi\) | |||||||
\(72\) | −1.93900 | + | 1.40876i | −0.228513 | + | 0.166024i | ||||
\(73\) | −4.05208 | − | 12.4710i | −0.474260 | − | 1.45962i | −0.846953 | − | 0.531667i | \(-0.821566\pi\) |
0.372694 | − | 0.927954i | \(-0.378434\pi\) | |||||||
\(74\) | −3.98720 | −0.463502 | ||||||||
\(75\) | 3.87362 | + | 0.277056i | 0.447288 | + | 0.0319917i | ||||
\(76\) | −1.00000 | −0.114708 | ||||||||
\(77\) | −0.844089 | − | 2.59784i | −0.0961929 | − | 0.296051i | ||||
\(78\) | 2.16740 | − | 1.57471i | 0.245410 | − | 0.178301i | ||||
\(79\) | 4.34677 | − | 3.15811i | 0.489050 | − | 0.355316i | −0.315769 | − | 0.948836i | \(-0.602262\pi\) |
0.804819 | + | 0.593521i | \(0.202262\pi\) | |||||||
\(80\) | 1.76095 | + | 1.37806i | 0.196880 | + | 0.154072i | ||||
\(81\) | −3.18309 | − | 2.31265i | −0.353676 | − | 0.256961i | ||||
\(82\) | 0.442302 | 0.0488440 | ||||||||
\(83\) | 0.322084 | + | 0.234008i | 0.0353533 | + | 0.0256857i | 0.605322 | − | 0.795981i | \(-0.293045\pi\) |
−0.569968 | + | 0.821667i | \(0.693045\pi\) | |||||||
\(84\) | −1.11120 | + | 3.41992i | −0.121242 | + | 0.373144i | ||||
\(85\) | −13.9564 | + | 9.39756i | −1.51378 | + | 1.01931i | ||||
\(86\) | −2.37627 | − | 7.31341i | −0.256240 | − | 0.788625i | ||||
\(87\) | 2.26996 | − | 6.98623i | 0.243366 | − | 0.749003i | ||||
\(88\) | −0.182320 | + | 0.561123i | −0.0194354 | + | 0.0598159i | ||||
\(89\) | 2.28048 | + | 7.01860i | 0.241731 | + | 0.743970i | 0.996157 | + | 0.0875856i | \(0.0279151\pi\) |
−0.754426 | + | 0.656385i | \(0.772085\pi\) | |||||||
\(90\) | −1.83697 | + | 5.03459i | −0.193634 | + | 0.530693i | ||||
\(91\) | −4.93473 | + | 15.1876i | −0.517301 | + | 1.59209i | ||||
\(92\) | 6.18980 | + | 4.49715i | 0.645331 | + | 0.468861i | ||||
\(93\) | 6.75212 | 0.700162 | ||||||||
\(94\) | −7.46499 | − | 5.42364i | −0.769955 | − | 0.559405i | ||||
\(95\) | −1.85478 | + | 1.24892i | −0.190296 | + | 0.128136i | ||||
\(96\) | 0.628367 | − | 0.456535i | 0.0641324 | − | 0.0465949i | ||||
\(97\) | −8.76998 | + | 6.37177i | −0.890457 | + | 0.646955i | −0.935997 | − | 0.352008i | \(-0.885499\pi\) |
0.0455403 | + | 0.998963i | \(0.485499\pi\) | |||||||
\(98\) | −4.46044 | − | 13.7278i | −0.450572 | − | 1.38672i | ||||
\(99\) | −1.41407 | −0.142119 | ||||||||
\(100\) | 4.98726 | + | 0.356708i | 0.498726 | + | 0.0356708i | ||||
\(101\) | 3.69002 | 0.367171 | 0.183586 | − | 0.983004i | \(-0.441230\pi\) | ||||
0.183586 | + | 0.983004i | \(0.441230\pi\) | |||||||
\(102\) | 1.80600 | + | 5.55830i | 0.178821 | + | 0.550354i | ||||
\(103\) | −12.8695 | + | 9.35024i | −1.26807 | + | 0.921306i | −0.999124 | − | 0.0418491i | \(-0.986675\pi\) |
−0.268945 | + | 0.963155i | \(0.586675\pi\) | |||||||
\(104\) | 2.79052 | − | 2.02743i | 0.273633 | − | 0.198806i | ||||
\(105\) | 2.21018 | + | 7.73100i | 0.215692 | + | 0.754468i | ||||
\(106\) | 2.55770 | + | 1.85827i | 0.248425 | + | 0.180492i | ||||
\(107\) | 2.46664 | 0.238459 | 0.119229 | − | 0.992867i | \(-0.461958\pi\) | ||||
0.119229 | + | 0.992867i | \(0.461958\pi\) | |||||||
\(108\) | 3.39113 | + | 2.46380i | 0.326311 | + | 0.237079i | ||||
\(109\) | −2.97219 | + | 9.14746i | −0.284684 | + | 0.876168i | 0.701809 | + | 0.712365i | \(0.252376\pi\) |
−0.986493 | + | 0.163803i | \(0.947624\pi\) | |||||||
\(110\) | 0.362635 | + | 1.26846i | 0.0345759 | + | 0.120943i | ||||
\(111\) | 0.956986 | + | 2.94530i | 0.0908331 | + | 0.279556i | ||||
\(112\) | −1.43066 | + | 4.40312i | −0.135185 | + | 0.416056i | ||||
\(113\) | 3.51641 | − | 10.8224i | 0.330796 | − | 1.01809i | −0.637959 | − | 0.770070i | \(-0.720221\pi\) |
0.968756 | − | 0.248017i | \(-0.0797787\pi\) | |||||||
\(114\) | 0.240015 | + | 0.738689i | 0.0224794 | + | 0.0691846i | ||||
\(115\) | 17.0973 | + | 0.610652i | 1.59433 | + | 0.0569436i | ||||
\(116\) | 2.92256 | − | 8.99472i | 0.271353 | − | 0.835139i | ||||
\(117\) | 6.68812 | + | 4.85920i | 0.618317 | + | 0.449233i | ||||
\(118\) | −6.55041 | −0.603014 | ||||||||
\(119\) | −28.1833 | − | 20.4764i | −2.58356 | − | 1.87707i | ||||
\(120\) | 0.595304 | − | 1.63155i | 0.0543436 | − | 0.148940i | ||||
\(121\) | 8.61757 | − | 6.26103i | 0.783415 | − | 0.569185i | ||||
\(122\) | −7.18045 | + | 5.21690i | −0.650087 | + | 0.472316i | ||||
\(123\) | −0.106159 | − | 0.326723i | −0.00957202 | − | 0.0294597i | ||||
\(124\) | 8.69330 | 0.780681 | ||||||||
\(125\) | 9.69576 | − | 5.56708i | 0.867215 | − | 0.497934i | ||||
\(126\) | −11.0962 | −0.988527 | ||||||||
\(127\) | 3.93123 | + | 12.0991i | 0.348840 | + | 1.07362i | 0.959496 | + | 0.281724i | \(0.0909062\pi\) |
−0.610655 | + | 0.791897i | \(0.709094\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | −4.83200 | + | 3.51065i | −0.425434 | + | 0.309096i | ||||
\(130\) | 2.64369 | − | 7.24556i | 0.231867 | − | 0.635478i | ||||
\(131\) | 3.22073 | + | 2.34000i | 0.281396 | + | 0.204446i | 0.719526 | − | 0.694465i | \(-0.244359\pi\) |
−0.438130 | + | 0.898912i | \(0.644359\pi\) | |||||||
\(132\) | 0.458255 | 0.0398860 | ||||||||
\(133\) | −3.74552 | − | 2.72128i | −0.324778 | − | 0.235965i | ||||
\(134\) | −0.166787 | + | 0.513317i | −0.0144082 | + | 0.0443438i | ||||
\(135\) | 9.36687 | + | 0.334550i | 0.806172 | + | 0.0287935i | ||||
\(136\) | 2.32521 | + | 7.15627i | 0.199385 | + | 0.613645i | ||||
\(137\) | 3.45205 | − | 10.6243i | 0.294929 | − | 0.907697i | −0.688317 | − | 0.725410i | \(-0.741650\pi\) |
0.983245 | − | 0.182287i | \(-0.0583500\pi\) | |||||||
\(138\) | 1.83636 | − | 5.65172i | 0.156321 | − | 0.481107i | ||||
\(139\) | −0.117690 | − | 0.362214i | −0.00998237 | − | 0.0307226i | 0.945941 | − | 0.324338i | \(-0.105142\pi\) |
−0.955924 | + | 0.293615i | \(0.905142\pi\) | |||||||
\(140\) | 2.84559 | + | 9.95359i | 0.240496 | + | 0.841232i | ||||
\(141\) | −2.21467 | + | 6.81606i | −0.186509 | + | 0.574016i | ||||
\(142\) | 4.90045 | + | 3.56039i | 0.411237 | + | 0.298781i | ||||
\(143\) | 2.03507 | 0.170181 | ||||||||
\(144\) | 1.93900 | + | 1.40876i | 0.161583 | + | 0.117397i | ||||
\(145\) | −5.81298 | − | 20.3332i | −0.482742 | − | 1.68858i | ||||
\(146\) | −10.6085 | + | 7.70751i | −0.877964 | + | 0.637878i | ||||
\(147\) | −9.07002 | + | 6.58976i | −0.748083 | + | 0.543514i | ||||
\(148\) | 1.23211 | + | 3.79205i | 0.101279 | + | 0.311705i | ||||
\(149\) | 4.34739 | 0.356152 | 0.178076 | − | 0.984017i | \(-0.443013\pi\) | ||||
0.178076 | + | 0.984017i | \(0.443013\pi\) | |||||||
\(150\) | −0.933519 | − | 3.76965i | −0.0762215 | − | 0.307791i | ||||
\(151\) | −17.9720 | −1.46254 | −0.731268 | − | 0.682090i | \(-0.761071\pi\) | ||||
−0.731268 | + | 0.682090i | \(0.761071\pi\) | |||||||
\(152\) | 0.309017 | + | 0.951057i | 0.0250646 | + | 0.0771409i | ||||
\(153\) | −14.5901 | + | 10.6003i | −1.17954 | + | 0.856984i | ||||
\(154\) | −2.20985 | + | 1.60555i | −0.178075 | + | 0.129379i | ||||
\(155\) | 16.1241 | − | 10.8572i | 1.29512 | − | 0.872074i | ||||
\(156\) | −2.16740 | − | 1.57471i | −0.173531 | − | 0.126078i | ||||
\(157\) | −5.03405 | −0.401761 | −0.200880 | − | 0.979616i | \(-0.564380\pi\) | ||||
−0.200880 | + | 0.979616i | \(0.564380\pi\) | |||||||
\(158\) | −4.34677 | − | 3.15811i | −0.345811 | − | 0.251246i | ||||
\(159\) | 0.758803 | − | 2.33536i | 0.0601770 | − | 0.185206i | ||||
\(160\) | 0.766450 | − | 2.10061i | 0.0605932 | − | 0.166068i | ||||
\(161\) | 10.9460 | + | 33.6884i | 0.862667 | + | 2.65501i | ||||
\(162\) | −1.21583 | + | 3.74194i | −0.0955247 | + | 0.293995i | ||||
\(163\) | −1.17814 | + | 3.62594i | −0.0922789 | + | 0.284005i | −0.986535 | − | 0.163550i | \(-0.947705\pi\) |
0.894256 | + | 0.447556i | \(0.147705\pi\) | |||||||
\(164\) | −0.136679 | − | 0.420654i | −0.0106728 | − | 0.0328475i | ||||
\(165\) | 0.849961 | − | 0.572324i | 0.0661693 | − | 0.0445553i | ||||
\(166\) | 0.123025 | − | 0.378632i | 0.00954860 | − | 0.0293876i | ||||
\(167\) | −11.0834 | − | 8.05257i | −0.857660 | − | 0.623126i | 0.0695874 | − | 0.997576i | \(-0.477832\pi\) |
−0.927247 | + | 0.374449i | \(0.877832\pi\) | |||||||
\(168\) | 3.59592 | 0.277431 | ||||||||
\(169\) | 0.891982 | + | 0.648063i | 0.0686140 | + | 0.0498510i | ||||
\(170\) | 13.2504 | + | 10.3693i | 1.01626 | + | 0.795287i | ||||
\(171\) | −1.93900 | + | 1.40876i | −0.148279 | + | 0.107731i | ||||
\(172\) | −6.22116 | + | 4.51994i | −0.474359 | + | 0.344642i | ||||
\(173\) | −3.15320 | − | 9.70455i | −0.239733 | − | 0.737823i | −0.996458 | − | 0.0840897i | \(-0.973202\pi\) |
0.756725 | − | 0.653733i | \(-0.226798\pi\) | |||||||
\(174\) | −7.34576 | −0.556881 | ||||||||
\(175\) | 17.7092 | + | 14.9078i | 1.33869 | + | 1.12692i | ||||
\(176\) | 0.589999 | 0.0444729 | ||||||||
\(177\) | 1.57220 | + | 4.83872i | 0.118173 | + | 0.363700i | ||||
\(178\) | 5.97038 | − | 4.33773i | 0.447499 | − | 0.325127i | ||||
\(179\) | −7.17617 | + | 5.21379i | −0.536372 | + | 0.389697i | −0.822736 | − | 0.568424i | \(-0.807553\pi\) |
0.286364 | + | 0.958121i | \(0.407553\pi\) | |||||||
\(180\) | 5.35584 | + | 0.191291i | 0.399201 | + | 0.0142580i | ||||
\(181\) | 9.77114 | + | 7.09915i | 0.726283 | + | 0.527675i | 0.888385 | − | 0.459099i | \(-0.151828\pi\) |
−0.162102 | + | 0.986774i | \(0.551828\pi\) | |||||||
\(182\) | 15.9691 | 1.18371 | ||||||||
\(183\) | 5.57708 | + | 4.05199i | 0.412270 | + | 0.299531i | ||||
\(184\) | 2.36429 | − | 7.27655i | 0.174298 | − | 0.536434i | ||||
\(185\) | 7.02126 | + | 5.49460i | 0.516214 | + | 0.403971i | ||||
\(186\) | −2.08652 | − | 6.42164i | −0.152991 | − | 0.470858i | ||||
\(187\) | −1.37187 | + | 4.22219i | −0.100321 | + | 0.308757i | ||||
\(188\) | −2.85137 | + | 8.77563i | −0.207958 | + | 0.640028i | ||||
\(189\) | 5.99685 | + | 18.4564i | 0.436207 | + | 1.34251i | ||||
\(190\) | 1.76095 | + | 1.37806i | 0.127753 | + | 0.0999750i | ||||
\(191\) | 6.72052 | − | 20.6836i | 0.486280 | − | 1.49662i | −0.343839 | − | 0.939029i | \(-0.611727\pi\) |
0.830119 | − | 0.557587i | \(-0.188273\pi\) | |||||||
\(192\) | −0.628367 | − | 0.456535i | −0.0453485 | − | 0.0329476i | ||||
\(193\) | −9.29404 | −0.668999 | −0.334500 | − | 0.942396i | \(-0.608567\pi\) | ||||
−0.334500 | + | 0.942396i | \(0.608567\pi\) | |||||||
\(194\) | 8.76998 | + | 6.37177i | 0.629648 | + | 0.457466i | ||||
\(195\) | −5.98674 | − | 0.213824i | −0.428720 | − | 0.0153123i | ||||
\(196\) | −11.6776 | + | 8.48426i | −0.834113 | + | 0.606019i | ||||
\(197\) | −4.35403 | + | 3.16339i | −0.310212 | + | 0.225382i | −0.731987 | − | 0.681318i | \(-0.761407\pi\) |
0.421776 | + | 0.906700i | \(0.361407\pi\) | |||||||
\(198\) | 0.436972 | + | 1.34486i | 0.0310542 | + | 0.0955751i | ||||
\(199\) | −1.32008 | −0.0935782 | −0.0467891 | − | 0.998905i | \(-0.514899\pi\) | ||||
−0.0467891 | + | 0.998905i | \(0.514899\pi\) | |||||||
\(200\) | −1.20190 | − | 4.85339i | −0.0849871 | − | 0.343187i | ||||
\(201\) | 0.419213 | 0.0295690 | ||||||||
\(202\) | −1.14028 | − | 3.50942i | −0.0802298 | − | 0.246922i | ||||
\(203\) | 35.4237 | − | 25.7368i | 2.48625 | − | 1.80637i | ||||
\(204\) | 4.72817 | − | 3.43522i | 0.331038 | − | 0.240513i | ||||
\(205\) | −0.778872 | − | 0.609518i | −0.0543987 | − | 0.0425706i | ||||
\(206\) | 12.8695 | + | 9.35024i | 0.896660 | + | 0.651462i | ||||
\(207\) | 18.3374 | 1.27454 | ||||||||
\(208\) | −2.79052 | − | 2.02743i | −0.193487 | − | 0.140577i | ||||
\(209\) | −0.182320 | + | 0.561123i | −0.0126113 | + | 0.0388137i | ||||
\(210\) | 6.66963 | − | 4.49102i | 0.460248 | − | 0.309910i | ||||
\(211\) | −5.80510 | − | 17.8663i | −0.399639 | − | 1.22996i | −0.925289 | − | 0.379263i | \(-0.876178\pi\) |
0.525650 | − | 0.850701i | \(-0.323822\pi\) | |||||||
\(212\) | 0.976953 | − | 3.00675i | 0.0670974 | − | 0.206504i | ||||
\(213\) | 1.45384 | − | 4.47446i | 0.0996154 | − | 0.306585i | ||||
\(214\) | −0.762233 | − | 2.34591i | −0.0521052 | − | 0.160363i | ||||
\(215\) | −5.89382 | + | 16.1532i | −0.401955 | + | 1.10164i | ||||
\(216\) | 1.29529 | − | 3.98651i | 0.0881336 | − | 0.271247i | ||||
\(217\) | 32.5609 | + | 23.6569i | 2.21038 | + | 1.60593i | ||||
\(218\) | 9.61821 | 0.651427 | ||||||||
\(219\) | 8.23964 | + | 5.98645i | 0.556784 | + | 0.404527i | ||||
\(220\) | 1.09432 | − | 0.736862i | 0.0737789 | − | 0.0496792i | ||||
\(221\) | 20.9974 | − | 15.2555i | 1.41244 | − | 1.02619i | ||||
\(222\) | 2.50542 | − | 1.82030i | 0.168153 | − | 0.122170i | ||||
\(223\) | 0.566208 | + | 1.74261i | 0.0379161 | + | 0.116694i | 0.968223 | − | 0.250088i | \(-0.0804596\pi\) |
−0.930307 | + | 0.366782i | \(0.880460\pi\) | |||||||
\(224\) | 4.62972 | 0.309336 | ||||||||
\(225\) | 10.1728 | − | 6.33421i | 0.678186 | − | 0.422281i | ||||
\(226\) | −11.3794 | −0.756943 | ||||||||
\(227\) | −6.82456 | − | 21.0038i | −0.452962 | − | 1.39407i | −0.873512 | − | 0.486803i | \(-0.838163\pi\) |
0.420550 | − | 0.907269i | \(-0.361837\pi\) | |||||||
\(228\) | 0.628367 | − | 0.456535i | 0.0416146 | − | 0.0302348i | ||||
\(229\) | −17.5605 | + | 12.7584i | −1.16043 | + | 0.843100i | −0.989832 | − | 0.142241i | \(-0.954569\pi\) |
−0.170596 | + | 0.985341i | \(0.554569\pi\) | |||||||
\(230\) | −4.70259 | − | 16.4492i | −0.310080 | − | 1.08463i | ||||
\(231\) | 1.71640 | + | 1.24704i | 0.112931 | + | 0.0820492i | ||||
\(232\) | −9.45761 | −0.620922 | ||||||||
\(233\) | −6.11438 | − | 4.44236i | −0.400567 | − | 0.291029i | 0.369205 | − | 0.929348i | \(-0.379630\pi\) |
−0.769772 | + | 0.638319i | \(0.779630\pi\) | |||||||
\(234\) | 2.55463 | − | 7.86235i | 0.167002 | − | 0.513978i | ||||
\(235\) | 5.67139 | + | 19.8380i | 0.369961 | + | 1.29409i | ||||
\(236\) | 2.02419 | + | 6.22981i | 0.131763 | + | 0.405526i | ||||
\(237\) | −1.28958 | + | 3.96891i | −0.0837670 | + | 0.257808i | ||||
\(238\) | −10.7651 | + | 33.1315i | −0.697796 | + | 2.14760i | ||||
\(239\) | 4.26291 | + | 13.1199i | 0.275744 | + | 0.848654i | 0.989021 | + | 0.147772i | \(0.0472102\pi\) |
−0.713277 | + | 0.700882i | \(0.752790\pi\) | |||||||
\(240\) | −1.73566 | − | 0.0619912i | −0.112036 | − | 0.00400151i | ||||
\(241\) | −3.37943 | + | 10.4008i | −0.217688 | + | 0.669975i | 0.781264 | + | 0.624201i | \(0.214575\pi\) |
−0.998952 | + | 0.0457740i | \(0.985425\pi\) | |||||||
\(242\) | −8.61757 | − | 6.26103i | −0.553958 | − | 0.402474i | ||||
\(243\) | 15.6309 | 1.00273 | ||||||||
\(244\) | 7.18045 | + | 5.21690i | 0.459681 | + | 0.333978i | ||||
\(245\) | −11.0632 | + | 30.3208i | −0.706799 | + | 1.93712i | ||||
\(246\) | −0.277928 | + | 0.201926i | −0.0177200 | + | 0.0128743i | ||||
\(247\) | 2.79052 | − | 2.02743i | 0.177556 | − | 0.129002i | ||||
\(248\) | −2.68638 | − | 8.26782i | −0.170585 | − | 0.525007i | ||||
\(249\) | −0.309220 | −0.0195960 | ||||||||
\(250\) | −8.29076 | − | 7.50089i | −0.524353 | − | 0.474398i | ||||
\(251\) | −2.32925 | −0.147021 | −0.0735106 | − | 0.997294i | \(-0.523420\pi\) | ||||
−0.0735106 | + | 0.997294i | \(0.523420\pi\) | |||||||
\(252\) | 3.42891 | + | 10.5531i | 0.216001 | + | 0.664783i | ||||
\(253\) | 3.65198 | − | 2.65332i | 0.229598 | − | 0.166813i | ||||
\(254\) | 10.2921 | − | 7.47765i | 0.645784 | − | 0.469189i | ||||
\(255\) | 4.47939 | − | 12.2767i | 0.280511 | − | 0.768795i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −18.3886 | −1.14705 | −0.573524 | − | 0.819189i | \(-0.694424\pi\) | ||||
−0.573524 | + | 0.819189i | \(0.694424\pi\) | |||||||
\(258\) | 4.83200 | + | 3.51065i | 0.300827 | + | 0.218564i | ||||
\(259\) | −5.70433 | + | 17.5561i | −0.354450 | + | 1.09088i | ||||
\(260\) | −7.70788 | − | 0.275297i | −0.478023 | − | 0.0170732i | ||||
\(261\) | −7.00459 | − | 21.5579i | −0.433573 | − | 1.33440i | ||||
\(262\) | 1.23021 | − | 3.78619i | 0.0760026 | − | 0.233912i | ||||
\(263\) | 1.63282 | − | 5.02529i | 0.100684 | − | 0.309873i | −0.888009 | − | 0.459825i | \(-0.847912\pi\) |
0.988693 | + | 0.149952i | \(0.0479121\pi\) | |||||||
\(264\) | −0.141609 | − | 0.435826i | −0.00871540 | − | 0.0268232i | ||||
\(265\) | −1.94316 | − | 6.79699i | −0.119368 | − | 0.417536i | ||||
\(266\) | −1.43066 | + | 4.40312i | −0.0877195 | + | 0.269973i | ||||
\(267\) | −4.63722 | − | 3.36913i | −0.283793 | − | 0.206188i | ||||
\(268\) | 0.539733 | 0.0329695 | ||||||||
\(269\) | −7.02714 | − | 5.10551i | −0.428452 | − | 0.311289i | 0.352578 | − | 0.935783i | \(-0.385305\pi\) |
−0.781030 | + | 0.624494i | \(0.785305\pi\) | |||||||
\(270\) | −2.57635 | − | 9.01180i | −0.156791 | − | 0.548441i | ||||
\(271\) | 5.61387 | − | 4.07871i | 0.341018 | − | 0.247764i | −0.404073 | − | 0.914727i | \(-0.632406\pi\) |
0.745091 | + | 0.666962i | \(0.232406\pi\) | |||||||
\(272\) | 6.08749 | − | 4.42282i | 0.369108 | − | 0.268173i | ||||
\(273\) | −3.83283 | − | 11.7962i | −0.231973 | − | 0.713940i | ||||
\(274\) | −11.1711 | −0.674869 | ||||||||
\(275\) | 1.10943 | − | 2.73343i | 0.0669013 | − | 0.164832i | ||||
\(276\) | −5.94257 | −0.357701 | ||||||||
\(277\) | −7.52693 | − | 23.1655i | −0.452249 | − | 1.39188i | −0.874334 | − | 0.485324i | \(-0.838702\pi\) |
0.422085 | − | 0.906556i | \(-0.361298\pi\) | |||||||
\(278\) | −0.308117 | + | 0.223860i | −0.0184796 | + | 0.0134263i | ||||
\(279\) | 16.8563 | − | 12.2468i | 1.00916 | − | 0.733196i | ||||
\(280\) | 8.58709 | − | 5.78215i | 0.513177 | − | 0.345549i | ||||
\(281\) | −14.8864 | − | 10.8156i | −0.888049 | − | 0.645206i | 0.0473193 | − | 0.998880i | \(-0.484932\pi\) |
−0.935369 | + | 0.353674i | \(0.884932\pi\) | |||||||
\(282\) | 7.16683 | 0.426779 | ||||||||
\(283\) | −10.0470 | − | 7.29954i | −0.597230 | − | 0.433913i | 0.247665 | − | 0.968846i | \(-0.420337\pi\) |
−0.844894 | + | 0.534933i | \(0.820337\pi\) | |||||||
\(284\) | 1.87181 | − | 5.76083i | 0.111071 | − | 0.341842i | ||||
\(285\) | 0.595304 | − | 1.63155i | 0.0352628 | − | 0.0966447i | ||||
\(286\) | −0.628870 | − | 1.93546i | −0.0371859 | − | 0.114446i | ||||
\(287\) | 0.632784 | − | 1.94751i | 0.0373520 | − | 0.114958i | ||||
\(288\) | 0.740631 | − | 2.27943i | 0.0436421 | − | 0.134317i | ||||
\(289\) | 12.2429 | + | 37.6797i | 0.720170 | + | 2.21645i | ||||
\(290\) | −17.5418 | + | 11.8118i | −1.03009 | + | 0.693612i | ||||
\(291\) | 2.60183 | − | 8.00761i | 0.152522 | − | 0.469414i | ||||
\(292\) | 10.6085 | + | 7.70751i | 0.620814 | + | 0.451048i | ||||
\(293\) | 4.20129 | 0.245442 | 0.122721 | − | 0.992441i | \(-0.460838\pi\) | ||||
0.122721 | + | 0.992441i | \(0.460838\pi\) | |||||||
\(294\) | 9.07002 | + | 6.58976i | 0.528975 | + | 0.384322i | ||||
\(295\) | 11.5350 | + | 9.02686i | 0.671591 | + | 0.525564i | ||||
\(296\) | 3.22571 | − | 2.34362i | 0.187491 | − | 0.136220i | ||||
\(297\) | 2.00076 | − | 1.45364i | 0.116096 | − | 0.0843487i | ||||
\(298\) | −1.34342 | − | 4.13461i | −0.0778221 | − | 0.239512i | ||||
\(299\) | −26.3904 | −1.52620 | ||||||||
\(300\) | −3.29668 | + | 2.05272i | −0.190334 | + | 0.118514i | ||||
\(301\) | −35.6015 | −2.05204 | ||||||||
\(302\) | 5.55364 | + | 17.0923i | 0.319576 | + | 0.983554i | ||||
\(303\) | −2.31869 | + | 1.68463i | −0.133205 | + | 0.0967792i | ||||
\(304\) | 0.809017 | − | 0.587785i | 0.0464003 | − | 0.0337118i | ||||
\(305\) | 19.8336 | + | 0.708383i | 1.13567 | + | 0.0405619i | ||||
\(306\) | 14.5901 | + | 10.6003i | 0.834059 | + | 0.605979i | ||||
\(307\) | −3.38024 | −0.192921 | −0.0964603 | − | 0.995337i | \(-0.530752\pi\) | ||||
−0.0964603 | + | 0.995337i | \(0.530752\pi\) | |||||||
\(308\) | 2.20985 | + | 1.60555i | 0.125918 | + | 0.0914849i | ||||
\(309\) | 3.81805 | − | 11.7508i | 0.217201 | − | 0.668477i | ||||
\(310\) | −15.3085 | − | 11.9799i | −0.869463 | − | 0.680412i | ||||
\(311\) | 5.39224 | + | 16.5956i | 0.305766 | + | 0.941051i | 0.979390 | + | 0.201977i | \(0.0647366\pi\) |
−0.673624 | + | 0.739074i | \(0.735263\pi\) | |||||||
\(312\) | −0.827875 | + | 2.54794i | −0.0468692 | + | 0.144249i | ||||
\(313\) | 2.81691 | − | 8.66957i | 0.159221 | − | 0.490033i | −0.839343 | − | 0.543602i | \(-0.817060\pi\) |
0.998564 | + | 0.0535697i | \(0.0170599\pi\) | |||||||
\(314\) | 1.55561 | + | 4.78766i | 0.0877879 | + | 0.270183i | ||||
\(315\) | 19.5398 | + | 15.2912i | 1.10095 | + | 0.861563i | ||||
\(316\) | −1.66032 | + | 5.10994i | −0.0934002 | + | 0.287456i | ||||
\(317\) | −3.49485 | − | 2.53916i | −0.196290 | − | 0.142613i | 0.485299 | − | 0.874348i | \(-0.338711\pi\) |
−0.681589 | + | 0.731735i | \(0.738711\pi\) | |||||||
\(318\) | −2.45554 | −0.137700 | ||||||||
\(319\) | −4.51430 | − | 3.27983i | −0.252752 | − | 0.183635i | ||||
\(320\) | −2.23464 | − | 0.0798131i | −0.124920 | − | 0.00446169i | ||||
\(321\) | −1.54995 | + | 1.12611i | −0.0865099 | + | 0.0628531i | ||||
\(322\) | 28.6570 | − | 20.8206i | 1.59699 | − | 1.16028i | ||||
\(323\) | 2.32521 | + | 7.15627i | 0.129378 | + | 0.398185i | ||||
\(324\) | 3.93451 | 0.218584 | ||||||||
\(325\) | −14.6402 | + | 9.11592i | −0.812094 | + | 0.505660i | ||||
\(326\) | 3.81254 | 0.211157 | ||||||||
\(327\) | −2.30851 | − | 7.10487i | −0.127661 | − | 0.392900i | ||||
\(328\) | −0.357829 | + | 0.259978i | −0.0197578 | + | 0.0143549i | ||||
\(329\) | −34.5608 | + | 25.1099i | −1.90540 | + | 1.38435i | ||||
\(330\) | −0.806964 | − | 0.631503i | −0.0444219 | − | 0.0347631i | ||||
\(331\) | −23.1621 | − | 16.8282i | −1.27310 | − | 0.924963i | −0.273780 | − | 0.961792i | \(-0.588274\pi\) |
−0.999322 | + | 0.0368297i | \(0.988274\pi\) | |||||||
\(332\) | −0.398118 | −0.0218495 | ||||||||
\(333\) | 7.73116 | + | 5.61702i | 0.423665 | + | 0.307811i | ||||
\(334\) | −4.23349 | + | 13.0293i | −0.231646 | + | 0.712933i | ||||
\(335\) | 1.00109 | − | 0.674084i | 0.0546951 | − | 0.0368291i | ||||
\(336\) | −1.11120 | − | 3.41992i | −0.0606209 | − | 0.186572i | ||||
\(337\) | −7.47054 | + | 22.9920i | −0.406946 | + | 1.25245i | 0.512313 | + | 0.858799i | \(0.328789\pi\) |
−0.919259 | + | 0.393653i | \(0.871211\pi\) | |||||||
\(338\) | 0.340707 | − | 1.04859i | 0.0185320 | − | 0.0570357i | ||||
\(339\) | 2.73121 | + | 8.40581i | 0.148339 | + | 0.456541i | ||||
\(340\) | 5.76718 | − | 15.8061i | 0.312770 | − | 0.857207i | ||||
\(341\) | 1.58496 | − | 4.87801i | 0.0858304 | − | 0.264159i | ||||
\(342\) | 1.93900 | + | 1.40876i | 0.104849 | + | 0.0761772i | ||||
\(343\) | −34.4186 | −1.85843 | ||||||||
\(344\) | 6.22116 | + | 4.51994i | 0.335422 | + | 0.243699i | ||||
\(345\) | −11.0222 | + | 7.42180i | −0.593413 | + | 0.399576i | ||||
\(346\) | −8.25518 | + | 5.99774i | −0.443801 | + | 0.322440i | ||||
\(347\) | 16.3956 | − | 11.9121i | 0.880164 | − | 0.639476i | −0.0531312 | − | 0.998588i | \(-0.516920\pi\) |
0.933295 | + | 0.359111i | \(0.116920\pi\) | |||||||
\(348\) | 2.26996 | + | 6.98623i | 0.121683 | + | 0.374501i | ||||
\(349\) | −14.7736 | −0.790815 | −0.395407 | − | 0.918506i | \(-0.629397\pi\) | ||||
−0.395407 | + | 0.918506i | \(0.629397\pi\) | |||||||
\(350\) | 8.70571 | − | 21.4492i | 0.465340 | − | 1.14651i | ||||
\(351\) | −14.4582 | −0.771720 | ||||||||
\(352\) | −0.182320 | − | 0.561123i | −0.00971768 | − | 0.0299079i | ||||
\(353\) | 14.7349 | − | 10.7055i | 0.784261 | − | 0.569799i | −0.121994 | − | 0.992531i | \(-0.538929\pi\) |
0.906255 | + | 0.422732i | \(0.138929\pi\) | |||||||
\(354\) | 4.11606 | − | 2.99049i | 0.218766 | − | 0.158943i | ||||
\(355\) | −3.72303 | − | 13.0228i | −0.197598 | − | 0.691178i | ||||
\(356\) | −5.97038 | − | 4.33773i | −0.316429 | − | 0.229899i | ||||
\(357\) | 27.0577 | 1.43204 | ||||||||
\(358\) | 7.17617 | + | 5.21379i | 0.379272 | + | 0.275557i | ||||
\(359\) | −0.738951 | + | 2.27426i | −0.0390004 | + | 0.120031i | −0.968661 | − | 0.248386i | \(-0.920100\pi\) |
0.929661 | + | 0.368417i | \(0.120100\pi\) | |||||||
\(360\) | −1.47312 | − | 5.15282i | −0.0776401 | − | 0.271577i | ||||
\(361\) | 0.309017 | + | 0.951057i | 0.0162641 | + | 0.0500556i | ||||
\(362\) | 3.73224 | − | 11.4867i | 0.196162 | − | 0.603725i | ||||
\(363\) | −2.55661 | + | 7.86845i | −0.134187 | + | 0.412986i | ||||
\(364\) | −4.93473 | − | 15.1876i | −0.258650 | − | 0.796044i | ||||
\(365\) | 29.3024 | + | 1.04657i | 1.53376 | + | 0.0547802i | ||||
\(366\) | 2.13026 | − | 6.55625i | 0.111350 | − | 0.342701i | ||||
\(367\) | 6.48781 | + | 4.71367i | 0.338661 | + | 0.246052i | 0.744097 | − | 0.668072i | \(-0.232880\pi\) |
−0.405436 | + | 0.914124i | \(0.632880\pi\) | |||||||
\(368\) | −7.65102 | −0.398837 | ||||||||
\(369\) | −0.857621 | − | 0.623098i | −0.0446460 | − | 0.0324372i | ||||
\(370\) | 3.05599 | − | 8.37554i | 0.158873 | − | 0.435424i | ||||
\(371\) | 11.8414 | − | 8.60329i | 0.614775 | − | 0.446660i | ||||
\(372\) | −5.46258 | + | 3.96879i | −0.283221 | + | 0.205772i | ||||
\(373\) | 3.99780 | + | 12.3040i | 0.206998 | + | 0.637076i | 0.999625 | + | 0.0273688i | \(0.00871285\pi\) |
−0.792627 | + | 0.609707i | \(0.791287\pi\) | |||||||
\(374\) | 4.43948 | 0.229560 | ||||||||
\(375\) | −3.55092 | + | 7.92462i | −0.183369 | + | 0.409225i | ||||
\(376\) | 9.22724 | 0.475859 | ||||||||
\(377\) | 10.0807 | + | 31.0252i | 0.519182 | + | 1.59788i | ||||
\(378\) | 15.7000 | − | 11.4067i | 0.807519 | − | 0.586697i | ||||
\(379\) | −12.9467 | + | 9.40631i | −0.665026 | + | 0.483170i | −0.868357 | − | 0.495940i | \(-0.834823\pi\) |
0.203330 | + | 0.979110i | \(0.434823\pi\) | |||||||
\(380\) | 0.766450 | − | 2.10061i | 0.0393180 | − | 0.107759i | ||||
\(381\) | −7.99391 | − | 5.80792i | −0.409541 | − | 0.297549i | ||||
\(382\) | −21.7481 | −1.11273 | ||||||||
\(383\) | −4.26975 | − | 3.10216i | −0.218174 | − | 0.158513i | 0.473330 | − | 0.880885i | \(-0.343052\pi\) |
−0.691504 | + | 0.722372i | \(0.743052\pi\) | |||||||
\(384\) | −0.240015 | + | 0.738689i | −0.0122482 | + | 0.0376961i | ||||
\(385\) | 6.10400 | + | 0.218012i | 0.311088 | + | 0.0111109i | ||||
\(386\) | 2.87201 | + | 8.83915i | 0.146182 | + | 0.449901i | ||||
\(387\) | −5.69528 | + | 17.5283i | −0.289507 | + | 0.891012i | ||||
\(388\) | 3.34984 | − | 10.3097i | 0.170062 | − | 0.523397i | ||||
\(389\) | −8.72252 | − | 26.8452i | −0.442250 | − | 1.36110i | −0.885472 | − | 0.464693i | \(-0.846165\pi\) |
0.443223 | − | 0.896412i | \(-0.353835\pi\) | |||||||
\(390\) | 1.64665 | + | 5.75981i | 0.0833812 | + | 0.291659i | ||||
\(391\) | 17.7902 | − | 54.7527i | 0.899691 | − | 2.76896i | ||||
\(392\) | 11.6776 | + | 8.48426i | 0.589807 | + | 0.428520i | ||||
\(393\) | −3.09209 | −0.155975 | ||||||||
\(394\) | 4.35403 | + | 3.16339i | 0.219353 | + | 0.159369i | ||||
\(395\) | 3.30238 | + | 11.5514i | 0.166161 | + | 0.581214i | ||||
\(396\) | 1.14401 | − | 0.831169i | 0.0574885 | − | 0.0417678i | ||||
\(397\) | 5.79692 | − | 4.21171i | 0.290939 | − | 0.211379i | −0.432736 | − | 0.901521i | \(-0.642452\pi\) |
0.723675 | + | 0.690141i | \(0.242452\pi\) | |||||||
\(398\) | 0.407928 | + | 1.25547i | 0.0204476 | + | 0.0629312i | ||||
\(399\) | 3.59592 | 0.180021 | ||||||||
\(400\) | −4.24445 | + | 2.64286i | −0.212222 | + | 0.132143i | ||||
\(401\) | −8.92851 | −0.445868 | −0.222934 | − | 0.974833i | \(-0.571564\pi\) | ||||
−0.222934 | + | 0.974833i | \(0.571564\pi\) | |||||||
\(402\) | −0.129544 | − | 0.398695i | −0.00646107 | − | 0.0198851i | ||||
\(403\) | −24.2588 | + | 17.6250i | −1.20842 | + | 0.877966i | ||||
\(404\) | −2.98529 | + | 2.16894i | −0.148524 | + | 0.107909i | ||||
\(405\) | 7.29765 | − | 4.91389i | 0.362623 | − | 0.244173i | ||||
\(406\) | −35.4237 | − | 25.7368i | −1.75805 | − | 1.27730i | ||||
\(407\) | 2.35244 | 0.116606 | ||||||||
\(408\) | −4.72817 | − | 3.43522i | −0.234079 | − | 0.170069i | ||||
\(409\) | −8.38799 | + | 25.8156i | −0.414759 | + | 1.27650i | 0.497707 | + | 0.867345i | \(0.334176\pi\) |
−0.912466 | + | 0.409152i | \(0.865824\pi\) | |||||||
\(410\) | −0.339002 | + | 0.929102i | −0.0167421 | + | 0.0458851i | ||||
\(411\) | 2.68122 | + | 8.25195i | 0.132255 | + | 0.407039i | ||||
\(412\) | 4.91571 | − | 15.1290i | 0.242180 | − | 0.745352i | ||||
\(413\) | −9.37142 | + | 28.8423i | −0.461138 | + | 1.41924i | ||||
\(414\) | −5.66658 | − | 17.4399i | −0.278497 | − | 0.857126i | ||||
\(415\) | −0.738420 | + | 0.497217i | −0.0362476 | + | 0.0244074i | ||||
\(416\) | −1.06588 | + | 3.28045i | −0.0522592 | + | 0.160837i | ||||
\(417\) | 0.239316 | + | 0.173873i | 0.0117194 | + | 0.00851461i | ||||
\(418\) | 0.589999 | 0.0288578 | ||||||||
\(419\) | 9.30697 | + | 6.76191i | 0.454675 | + | 0.330341i | 0.791439 | − | 0.611248i | \(-0.209332\pi\) |
−0.336764 | + | 0.941589i | \(0.609332\pi\) | |||||||
\(420\) | −6.33224 | − | 4.95539i | −0.308982 | − | 0.241799i | ||||
\(421\) | 28.7516 | − | 20.8892i | 1.40127 | − | 1.01808i | 0.406745 | − | 0.913542i | \(-0.366664\pi\) |
0.994521 | − | 0.104537i | \(-0.0333362\pi\) | |||||||
\(422\) | −15.1979 | + | 11.0420i | −0.739824 | + | 0.537514i | ||||
\(423\) | 6.83398 | + | 21.0328i | 0.332279 | + | 1.02265i | ||||
\(424\) | −3.16148 | −0.153535 | ||||||||
\(425\) | −9.04374 | − | 36.5196i | −0.438686 | − | 1.77146i | ||||
\(426\) | −4.70472 | −0.227945 | ||||||||
\(427\) | 12.6979 | + | 39.0800i | 0.614493 | + | 1.89121i | ||||
\(428\) | −1.99555 | + | 1.44985i | −0.0964586 | + | 0.0700813i | ||||
\(429\) | −1.27877 | + | 0.929079i | −0.0617395 | + | 0.0448564i | ||||
\(430\) | 17.1839 | + | 0.613745i | 0.828681 | + | 0.0295974i | ||||
\(431\) | 8.49838 | + | 6.17443i | 0.409352 | + | 0.297412i | 0.773340 | − | 0.633992i | \(-0.218585\pi\) |
−0.363987 | + | 0.931404i | \(0.618585\pi\) | |||||||
\(432\) | −4.19166 | −0.201671 | ||||||||
\(433\) | 27.6183 | + | 20.0659i | 1.32725 | + | 0.964305i | 0.999811 | + | 0.0194340i | \(0.00618642\pi\) |
0.327441 | + | 0.944871i | \(0.393814\pi\) | |||||||
\(434\) | 12.4372 | − | 38.2777i | 0.597003 | − | 1.83739i | ||||
\(435\) | 12.9355 | + | 10.1229i | 0.620211 | + | 0.485356i | ||||
\(436\) | −2.97219 | − | 9.14746i | −0.142342 | − | 0.438084i | ||||
\(437\) | 2.36429 | − | 7.27655i | 0.113100 | − | 0.348085i | ||||
\(438\) | 3.14726 | − | 9.68628i | 0.150382 | − | 0.462829i | ||||
\(439\) | −6.43752 | − | 19.8126i | −0.307246 | − | 0.945606i | −0.978830 | − | 0.204677i | \(-0.934386\pi\) |
0.671584 | − | 0.740929i | \(-0.265614\pi\) | |||||||
\(440\) | −1.03896 | − | 0.813055i | −0.0495305 | − | 0.0387609i | ||||
\(441\) | −10.6905 | + | 32.9019i | −0.509070 | + | 1.56676i | ||||
\(442\) | −20.9974 | − | 15.2555i | −0.998743 | − | 0.725629i | ||||
\(443\) | −25.3990 | −1.20674 | −0.603372 | − | 0.797460i | \(-0.706176\pi\) | ||||
−0.603372 | + | 0.797460i | \(0.706176\pi\) | |||||||
\(444\) | −2.50542 | − | 1.82030i | −0.118902 | − | 0.0863874i | ||||
\(445\) | −16.4912 | − | 0.589005i | −0.781758 | − | 0.0279215i | ||||
\(446\) | 1.48235 | − | 1.07699i | 0.0701914 | − | 0.0509971i | ||||
\(447\) | −2.73176 | + | 1.98474i | −0.129208 | + | 0.0938748i | ||||
\(448\) | −1.43066 | − | 4.40312i | −0.0675924 | − | 0.208028i | ||||
\(449\) | −11.9617 | −0.564509 | −0.282255 | − | 0.959340i | \(-0.591082\pi\) | ||||
−0.282255 | + | 0.959340i | \(0.591082\pi\) | |||||||
\(450\) | −9.16776 | − | 7.71752i | −0.432172 | − | 0.363808i | ||||
\(451\) | −0.260958 | −0.0122880 | ||||||||
\(452\) | 3.51641 | + | 10.8224i | 0.165398 | + | 0.509043i | ||||
\(453\) | 11.2930 | − | 8.20483i | 0.530590 | − | 0.385496i | ||||
\(454\) | −17.8669 | + | 12.9811i | −0.838536 | + | 0.609232i | ||||
\(455\) | −28.1209 | − | 22.0064i | −1.31833 | − | 1.03168i | ||||
\(456\) | −0.628367 | − | 0.456535i | −0.0294260 | − | 0.0213792i | ||||
\(457\) | −33.0112 | −1.54420 | −0.772099 | − | 0.635502i | \(-0.780793\pi\) | ||||
−0.772099 | + | 0.635502i | \(0.780793\pi\) | |||||||
\(458\) | 17.5605 | + | 12.7584i | 0.820547 | + | 0.596162i | ||||
\(459\) | 9.74651 | − | 29.9967i | 0.454928 | − | 1.40012i | ||||
\(460\) | −14.1909 | + | 9.55551i | −0.661656 | + | 0.445528i | ||||
\(461\) | 8.41344 | + | 25.8939i | 0.391853 | + | 1.20600i | 0.931386 | + | 0.364034i | \(0.118601\pi\) |
−0.539533 | + | 0.841965i | \(0.681399\pi\) | |||||||
\(462\) | 0.655607 | − | 2.01775i | 0.0305016 | − | 0.0938743i | ||||
\(463\) | 6.48247 | − | 19.9510i | 0.301266 | − | 0.927201i | −0.679779 | − | 0.733417i | \(-0.737924\pi\) |
0.981044 | − | 0.193783i | \(-0.0620758\pi\) | |||||||
\(464\) | 2.92256 | + | 8.99472i | 0.135676 | + | 0.417569i | ||||
\(465\) | −5.17516 | + | 14.1836i | −0.239992 | + | 0.657746i | ||||
\(466\) | −2.33549 | + | 7.18789i | −0.108189 | + | 0.332973i | ||||
\(467\) | −24.4871 | − | 17.7909i | −1.13313 | − | 0.823267i | −0.146982 | − | 0.989139i | \(-0.546956\pi\) |
−0.986147 | + | 0.165873i | \(0.946956\pi\) | |||||||
\(468\) | −8.26697 | −0.382141 | ||||||||
\(469\) | 2.02158 | + | 1.46877i | 0.0933480 | + | 0.0678213i | ||||
\(470\) | 17.1145 | − | 11.5241i | 0.789432 | − | 0.531566i | ||||
\(471\) | 3.16323 | − | 2.29822i | 0.145754 | − | 0.105896i | ||||
\(472\) | 5.29940 | − | 3.85024i | 0.243924 | − | 0.177221i | ||||
\(473\) | 1.40200 | + | 4.31491i | 0.0644639 | + | 0.198400i | ||||
\(474\) | 4.17316 | 0.191679 | ||||||||
\(475\) | −1.20190 | − | 4.85339i | −0.0551469 | − | 0.222689i | ||||
\(476\) | 34.8365 | 1.59673 | ||||||||
\(477\) | −2.34149 | − | 7.20637i | −0.107210 | − | 0.329957i | ||||
\(478\) | 11.1604 | − | 8.10853i | 0.510466 | − | 0.370875i | ||||
\(479\) | −12.6534 | + | 9.19325i | −0.578150 | + | 0.420050i | −0.838057 | − | 0.545583i | \(-0.816308\pi\) |
0.259907 | + | 0.965634i | \(0.416308\pi\) | |||||||
\(480\) | 0.477390 | + | 1.66986i | 0.0217898 | + | 0.0762185i | ||||
\(481\) | −11.1263 | − | 8.08376i | −0.507318 | − | 0.368588i | ||||
\(482\) | 10.9361 | 0.498124 | ||||||||
\(483\) | −22.2580 | − | 16.1714i | −1.01278 | − | 0.735824i | ||||
\(484\) | −3.29162 | + | 10.1306i | −0.149619 | + | 0.460480i | ||||
\(485\) | −6.66283 | − | 23.3059i | −0.302544 | − | 1.05827i | ||||
\(486\) | −4.83023 | − | 14.8659i | −0.219103 | − | 0.674331i | ||||
\(487\) | 0.751774 | − | 2.31372i | 0.0340661 | − | 0.104845i | −0.932578 | − | 0.360970i | \(-0.882446\pi\) |
0.966644 | + | 0.256125i | \(0.0824458\pi\) | |||||||
\(488\) | 2.74269 | − | 8.44112i | 0.124156 | − | 0.382112i | ||||
\(489\) | −0.915065 | − | 2.81628i | −0.0413807 | − | 0.127357i | ||||
\(490\) | 32.2555 | + | 1.15205i | 1.45715 | + | 0.0520441i | ||||
\(491\) | 2.57170 | − | 7.91487i | 0.116059 | − | 0.357193i | −0.876107 | − | 0.482116i | \(-0.839868\pi\) |
0.992166 | + | 0.124923i | \(0.0398684\pi\) | |||||||
\(492\) | 0.277928 | + | 0.201926i | 0.0125299 | + | 0.00910354i | ||||
\(493\) | −71.1642 | −3.20507 | ||||||||
\(494\) | −2.79052 | − | 2.02743i | −0.125551 | − | 0.0912183i | ||||
\(495\) | 1.08381 | − | 2.97041i | 0.0487138 | − | 0.133510i | ||||
\(496\) | −7.03302 | + | 5.10979i | −0.315792 | + | 0.229436i | ||||
\(497\) | 22.6877 | − | 16.4836i | 1.01768 | − | 0.739390i | ||||
\(498\) | 0.0955541 | + | 0.294085i | 0.00428188 | + | 0.0131783i | ||||
\(499\) | −18.1475 | −0.812396 | −0.406198 | − | 0.913785i | \(-0.633146\pi\) | ||||
−0.406198 | + | 0.913785i | \(0.633146\pi\) | |||||||
\(500\) | −4.57179 | + | 10.2029i | −0.204456 | + | 0.456287i | ||||
\(501\) | 10.6407 | 0.475393 | ||||||||
\(502\) | 0.719779 | + | 2.21525i | 0.0321253 | + | 0.0988716i | ||||
\(503\) | −16.3283 | + | 11.8632i | −0.728044 | + | 0.528955i | −0.888944 | − | 0.458016i | \(-0.848560\pi\) |
0.160900 | + | 0.986971i | \(0.448560\pi\) | |||||||
\(504\) | 8.97700 | − | 6.52218i | 0.399868 | − | 0.290521i | ||||
\(505\) | −2.82822 | + | 7.75130i | −0.125854 | + | 0.344928i | ||||
\(506\) | −3.65198 | − | 2.65332i | −0.162350 | − | 0.117954i | ||||
\(507\) | −0.856356 | −0.0380321 | ||||||||
\(508\) | −10.2921 | − | 7.47765i | −0.456638 | − | 0.331767i | ||||
\(509\) | 5.02190 | − | 15.4558i | 0.222592 | − | 0.685067i | −0.775935 | − | 0.630812i | \(-0.782722\pi\) |
0.998527 | − | 0.0542547i | \(-0.0172783\pi\) | |||||||
\(510\) | −13.0600 | − | 0.466455i | −0.578308 | − | 0.0206550i | ||||
\(511\) | 18.7600 | + | 57.7373i | 0.829892 | + | 2.55415i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 1.29529 | − | 3.98651i | 0.0571887 | − | 0.176009i | ||||
\(514\) | 5.68238 | + | 17.4886i | 0.250639 | + | 0.771388i | ||||
\(515\) | −9.77737 | − | 34.2003i | −0.430842 | − | 1.50704i | ||||
\(516\) | 1.84566 | − | 5.68035i | 0.0812506 | − | 0.250064i | ||||
\(517\) | 4.40434 | + | 3.19994i | 0.193703 | + | 0.140733i | ||||
\(518\) | 18.4596 | 0.811068 | ||||||||
\(519\) | 6.41183 | + | 4.65847i | 0.281448 | + | 0.204484i | ||||
\(520\) | 2.12004 | + | 7.41570i | 0.0929701 | + | 0.325200i | ||||
\(521\) | 6.13968 | − | 4.46074i | 0.268984 | − | 0.195429i | −0.445114 | − | 0.895474i | \(-0.646837\pi\) |
0.714098 | + | 0.700045i | \(0.246837\pi\) | |||||||
\(522\) | −18.3383 | + | 13.3235i | −0.802644 | + | 0.583155i | ||||
\(523\) | −5.14567 | − | 15.8367i | −0.225004 | − | 0.692492i | −0.998291 | − | 0.0584358i | \(-0.981389\pi\) |
0.773287 | − | 0.634056i | \(-0.218611\pi\) | |||||||
\(524\) | −3.98104 | −0.173913 | ||||||||
\(525\) | −17.9338 | − | 1.28269i | −0.782695 | − | 0.0559813i | ||||
\(526\) | −5.28390 | −0.230389 | ||||||||
\(527\) | −20.2138 | − | 62.2116i | −0.880525 | − | 2.70998i | ||||
\(528\) | −0.370736 | + | 0.269355i | −0.0161342 | + | 0.0117222i | ||||
\(529\) | −28.7509 | + | 20.8887i | −1.25004 | + | 0.908206i | ||||
\(530\) | −5.86385 | + | 3.94844i | −0.254709 | + | 0.171509i | ||||
\(531\) | 12.7012 | + | 9.22798i | 0.551186 | + | 0.400460i | ||||
\(532\) | 4.62972 | 0.200724 | ||||||||
\(533\) | 1.23425 | + | 0.896735i | 0.0534613 | + | 0.0388419i | ||||
\(534\) | −1.77126 | + | 5.45137i | −0.0766499 | + | 0.235904i | ||||
\(535\) | −1.89055 | + | 5.18144i | −0.0817357 | + | 0.224013i | ||||
\(536\) | −0.166787 | − | 0.513317i | −0.00720409 | − | 0.0221719i | ||||
\(537\) | 2.12899 | − | 6.55235i | 0.0918725 | − | 0.282755i | ||||
\(538\) | −2.68413 | + | 8.26089i | −0.115721 | + | 0.356152i | ||||
\(539\) | 2.63166 | + | 8.09941i | 0.113353 | + | 0.348866i | ||||
\(540\) | −7.77460 | + | 5.23505i | −0.334565 | + | 0.225281i | ||||
\(541\) | 7.48796 | − | 23.0456i | 0.321933 | − | 0.990807i | −0.650873 | − | 0.759186i | \(-0.725597\pi\) |
0.972806 | − | 0.231621i | \(-0.0744028\pi\) | |||||||
\(542\) | −5.61387 | − | 4.07871i | −0.241136 | − | 0.175196i | ||||
\(543\) | −9.38087 | −0.402572 | ||||||||
\(544\) | −6.08749 | − | 4.42282i | −0.260999 | − | 0.189627i | ||||
\(545\) | −16.9372 | − | 13.2545i | −0.725510 | − | 0.567759i | ||||
\(546\) | −10.0345 | + | 7.29047i | −0.429436 | + | 0.312003i | ||||
\(547\) | −24.2723 | + | 17.6349i | −1.03781 | + | 0.754013i | −0.969857 | − | 0.243675i | \(-0.921647\pi\) |
−0.0679536 | + | 0.997688i | \(0.521647\pi\) | |||||||
\(548\) | 3.45205 | + | 10.6243i | 0.147464 | + | 0.453849i | ||||
\(549\) | 21.2722 | 0.907877 | ||||||||
\(550\) | −2.94248 | − | 0.210457i | −0.125468 | − | 0.00897393i | ||||
\(551\) | −9.45761 | −0.402908 | ||||||||
\(552\) | 1.83636 | + | 5.65172i | 0.0781605 | + | 0.240553i | ||||
\(553\) | −20.1243 | + | 14.6212i | −0.855773 | + | 0.621756i | ||||
\(554\) | −19.7058 | + | 14.3171i | −0.837217 | + | 0.608274i | ||||
\(555\) | −6.92041 | − | 0.247171i | −0.293755 | − | 0.0104918i | ||||
\(556\) | 0.308117 | + | 0.223860i | 0.0130671 | + | 0.00949379i | ||||
\(557\) | 6.37166 | 0.269976 | 0.134988 | − | 0.990847i | \(-0.456900\pi\) | ||||
0.134988 | + | 0.990847i | \(0.456900\pi\) | |||||||
\(558\) | −16.8563 | − | 12.2468i | −0.713583 | − | 0.518448i | ||||
\(559\) | 8.19639 | − | 25.2259i | 0.346671 | − | 1.06694i | ||||
\(560\) | −8.15271 | − | 6.38003i | −0.344515 | − | 0.269606i | ||||
\(561\) | −1.06554 | − | 3.27939i | −0.0449871 | − | 0.138456i | ||||
\(562\) | −5.68611 | + | 17.5000i | −0.239854 | + | 0.738195i | ||||
\(563\) | 13.4071 | − | 41.2628i | 0.565041 | − | 1.73902i | −0.102787 | − | 0.994703i | \(-0.532776\pi\) |
0.667828 | − | 0.744315i | \(-0.267224\pi\) | |||||||
\(564\) | −2.21467 | − | 6.81606i | −0.0932546 | − | 0.287008i | ||||
\(565\) | 20.0385 | + | 15.6814i | 0.843026 | + | 0.659723i | ||||
\(566\) | −3.83760 | + | 11.8109i | −0.161306 | + | 0.496449i | ||||
\(567\) | 14.7368 | + | 10.7069i | 0.618887 | + | 0.449648i | ||||
\(568\) | −6.05729 | −0.254158 | ||||||||
\(569\) | 12.6369 | + | 9.18122i | 0.529765 | + | 0.384897i | 0.820270 | − | 0.571977i | \(-0.193823\pi\) |
−0.290505 | + | 0.956873i | \(0.593823\pi\) | |||||||
\(570\) | −1.73566 | − | 0.0619912i | −0.0726986 | − | 0.00259652i | ||||
\(571\) | 25.6662 | − | 18.6476i | 1.07410 | − | 0.780377i | 0.0974529 | − | 0.995240i | \(-0.468930\pi\) |
0.976644 | + | 0.214863i | \(0.0689305\pi\) | |||||||
\(572\) | −1.64640 | + | 1.19618i | −0.0688396 | + | 0.0500149i | ||||
\(573\) | 5.21985 | + | 16.0651i | 0.218063 | + | 0.671128i | ||||
\(574\) | −2.04773 | −0.0854707 | ||||||||
\(575\) | −14.3869 | + | 35.4467i | −0.599977 | + | 1.47823i | ||||
\(576\) | −2.39673 | −0.0998638 | ||||||||
\(577\) | −10.0163 | − | 30.8270i | −0.416983 | − | 1.28334i | −0.910465 | − | 0.413587i | \(-0.864276\pi\) |
0.493481 | − | 0.869756i | \(-0.335724\pi\) | |||||||
\(578\) | 32.0523 | − | 23.2873i | 1.33320 | − | 0.968626i | ||||
\(579\) | 5.84006 | − | 4.24305i | 0.242705 | − | 0.176335i | ||||
\(580\) | 16.6544 | + | 13.0332i | 0.691536 | + | 0.541172i | ||||
\(581\) | −1.49116 | − | 1.08339i | −0.0618637 | − | 0.0449466i | ||||
\(582\) | −8.41970 | −0.349008 | ||||||||
\(583\) | −1.50904 | − | 1.09638i | −0.0624980 | − | 0.0454074i | ||||
\(584\) | 4.05208 | − | 12.4710i | 0.167676 | − | 0.516054i | ||||
\(585\) | −15.3334 | + | 10.3248i | −0.633957 | + | 0.426877i | ||||
\(586\) | −1.29827 | − | 3.99566i | −0.0536310 | − | 0.165059i | ||||
\(587\) | −5.94601 | + | 18.2999i | −0.245418 | + | 0.755319i | 0.750149 | + | 0.661268i | \(0.229982\pi\) |
−0.995567 | + | 0.0940505i | \(0.970018\pi\) | |||||||
\(588\) | 3.46444 | − | 10.6625i | 0.142871 | − | 0.439712i | ||||
\(589\) | −2.68638 | − | 8.26782i | −0.110690 | − | 0.340669i | ||||
\(590\) | 5.02056 | − | 13.7599i | 0.206693 | − | 0.566484i | ||||
\(591\) | 1.29173 | − | 3.97553i | 0.0531346 | − | 0.163532i | ||||
\(592\) | −3.22571 | − | 2.34362i | −0.132576 | − | 0.0963221i | ||||
\(593\) | −33.2301 | −1.36460 | −0.682298 | − | 0.731074i | \(-0.739020\pi\) | ||||
−0.682298 | + | 0.731074i | \(0.739020\pi\) | |||||||
\(594\) | −2.00076 | − | 1.45364i | −0.0820923 | − | 0.0596435i | ||||
\(595\) | 64.6140 | − | 43.5080i | 2.64892 | − | 1.78366i | ||||
\(596\) | −3.51711 | + | 2.55533i | −0.144067 | + | 0.104670i | ||||
\(597\) | 0.829496 | − | 0.602664i | 0.0339490 | − | 0.0246654i | ||||
\(598\) | 8.15508 | + | 25.0988i | 0.333486 | + | 1.02636i | ||||
\(599\) | −4.57928 | −0.187104 | −0.0935521 | − | 0.995614i | \(-0.529822\pi\) | ||||
−0.0935521 | + | 0.995614i | \(0.529822\pi\) | |||||||
\(600\) | 2.97098 | + | 2.50100i | 0.121290 | + | 0.102103i | ||||
\(601\) | 41.8432 | 1.70682 | 0.853410 | − | 0.521241i | \(-0.174531\pi\) | ||||
0.853410 | + | 0.521241i | \(0.174531\pi\) | |||||||
\(602\) | 11.0015 | + | 33.8590i | 0.448386 | + | 1.37999i | ||||
\(603\) | 1.04654 | − | 0.760357i | 0.0426184 | − | 0.0309641i | ||||
\(604\) | 14.5396 | − | 10.5636i | 0.591609 | − | 0.429829i | ||||
\(605\) | 6.54704 | + | 22.9009i | 0.266175 | + | 0.931054i | ||||
\(606\) | 2.31869 | + | 1.68463i | 0.0941903 | + | 0.0684332i | ||||
\(607\) | −30.0669 | −1.22038 | −0.610188 | − | 0.792256i | \(-0.708906\pi\) | ||||
−0.610188 | + | 0.792256i | \(0.708906\pi\) | |||||||
\(608\) | −0.809017 | − | 0.587785i | −0.0328100 | − | 0.0238378i | ||||
\(609\) | −10.5093 | + | 32.3443i | −0.425858 | + | 1.31066i | ||||
\(610\) | −5.45521 | − | 19.0818i | −0.220875 | − | 0.772599i | ||||
\(611\) | −9.83515 | − | 30.2695i | −0.397888 | − | 1.22457i | ||||
\(612\) | 5.57291 | − | 17.1517i | 0.225272 | − | 0.693314i | ||||
\(613\) | 4.26416 | − | 13.1237i | 0.172228 | − | 0.530063i | −0.827268 | − | 0.561807i | \(-0.810106\pi\) |
0.999496 | + | 0.0317443i | \(0.0101062\pi\) | |||||||
\(614\) | 1.04455 | + | 3.21480i | 0.0421547 | + | 0.129739i | ||||
\(615\) | 0.767683 | + | 0.0274188i | 0.0309560 | + | 0.00110563i | ||||
\(616\) | 0.844089 | − | 2.59784i | 0.0340093 | − | 0.104670i | ||||
\(617\) | 6.59478 | + | 4.79138i | 0.265496 | + | 0.192894i | 0.712566 | − | 0.701605i | \(-0.247533\pi\) |
−0.447071 | + | 0.894499i | \(0.647533\pi\) | |||||||
\(618\) | −12.3555 | −0.497010 | ||||||||
\(619\) | −17.5341 | − | 12.7393i | −0.704754 | − | 0.512034i | 0.176723 | − | 0.984261i | \(-0.443450\pi\) |
−0.881477 | + | 0.472227i | \(0.843450\pi\) | |||||||
\(620\) | −6.66297 | + | 18.2612i | −0.267591 | + | 0.733388i | ||||
\(621\) | −25.9456 | + | 18.8506i | −1.04116 | + | 0.756447i | ||||
\(622\) | 14.1171 | − | 10.2567i | 0.566043 | − | 0.411254i | ||||
\(623\) | −10.5580 | − | 32.4941i | −0.422997 | − | 1.30185i | ||||
\(624\) | 2.67906 | 0.107248 | ||||||||
\(625\) | 4.26294 | + | 24.6339i | 0.170518 | + | 0.985355i | ||||
\(626\) | −9.11572 | −0.364337 | ||||||||
\(627\) | −0.141609 | − | 0.435826i | −0.00565530 | − | 0.0174052i | ||||
\(628\) | 4.07263 | − | 2.95894i | 0.162516 | − | 0.118075i | ||||
\(629\) | 24.2720 | − | 17.6347i | 0.967789 | − | 0.703140i | ||||
\(630\) | 8.50467 | − | 23.3087i | 0.338834 | − | 0.928643i | ||||
\(631\) | 33.8255 | + | 24.5757i | 1.34657 | + | 0.978343i | 0.999174 | + | 0.0406253i | \(0.0129350\pi\) |
0.347399 | + | 0.937717i | \(0.387065\pi\) | |||||||
\(632\) | 5.37291 | 0.213723 | ||||||||
\(633\) | 11.8043 | + | 8.57633i | 0.469179 | + | 0.340878i | ||||
\(634\) | −1.33491 | + | 4.10844i | −0.0530162 | + | 0.163167i | ||||
\(635\) | −28.4285 | − | 1.01536i | −1.12815 | − | 0.0402934i | ||||
\(636\) | 0.758803 | + | 2.33536i | 0.0300885 | + | 0.0926029i | ||||
\(637\) | 15.3853 | − | 47.3509i | 0.609586 | − | 1.87611i | ||||
\(638\) | −1.72431 | + | 5.30688i | −0.0682660 | + | 0.210101i | ||||
\(639\) | −4.48622 | − | 13.8072i | −0.177472 | − | 0.546202i | ||||
\(640\) | 0.614636 | + | 2.14994i | 0.0242956 | + | 0.0849837i | ||||
\(641\) | −0.118600 | + | 0.365014i | −0.00468443 | + | 0.0144172i | −0.953371 | − | 0.301800i | \(-0.902413\pi\) |
0.948687 | + | 0.316217i | \(0.102413\pi\) | |||||||
\(642\) | 1.54995 | + | 1.12611i | 0.0611717 | + | 0.0444439i | ||||
\(643\) | −27.9446 | −1.10203 | −0.551014 | − | 0.834496i | \(-0.685759\pi\) | ||||
−0.551014 | + | 0.834496i | \(0.685759\pi\) | |||||||
\(644\) | −28.6570 | − | 20.8206i | −1.12925 | − | 0.820445i | ||||
\(645\) | −3.67102 | − | 12.8409i | −0.144546 | − | 0.505609i | ||||
\(646\) | 6.08749 | − | 4.42282i | 0.239509 | − | 0.174013i | ||||
\(647\) | −1.32908 | + | 0.965632i | −0.0522514 | + | 0.0379629i | −0.613604 | − | 0.789614i | \(-0.710281\pi\) |
0.561353 | + | 0.827576i | \(0.310281\pi\) | |||||||
\(648\) | −1.21583 | − | 3.74194i | −0.0477624 | − | 0.146997i | ||||
\(649\) | 3.86474 | 0.151704 | ||||||||
\(650\) | 13.1938 | + | 11.1067i | 0.517505 | + | 0.435641i | ||||
\(651\) | −31.2604 | −1.22519 | ||||||||
\(652\) | −1.17814 | − | 3.62594i | −0.0461395 | − | 0.142003i | ||||
\(653\) | 32.3330 | − | 23.4913i | 1.26529 | − | 0.919285i | 0.266283 | − | 0.963895i | \(-0.414204\pi\) |
0.999005 | + | 0.0446094i | \(0.0142043\pi\) | |||||||
\(654\) | −6.04376 | + | 4.39105i | −0.236330 | + | 0.171704i | ||||
\(655\) | −7.38394 | + | 4.97200i | −0.288514 | + | 0.194272i | ||||
\(656\) | 0.357829 | + | 0.259978i | 0.0139709 | + | 0.0101504i | ||||
\(657\) | 31.4278 | 1.22612 | ||||||||
\(658\) | 34.5608 | + | 25.1099i | 1.34732 | + | 0.978886i | ||||
\(659\) | 0.443764 | − | 1.36576i | 0.0172866 | − | 0.0532026i | −0.942041 | − | 0.335497i | \(-0.891096\pi\) |
0.959328 | + | 0.282295i | \(0.0910956\pi\) | |||||||
\(660\) | −0.351229 | + | 0.962614i | −0.0136716 | + | 0.0374697i | ||||
\(661\) | 13.2175 | + | 40.6792i | 0.514100 | + | 1.58224i | 0.784914 | + | 0.619605i | \(0.212707\pi\) |
−0.270814 | + | 0.962632i | \(0.587293\pi\) | |||||||
\(662\) | −8.84712 | + | 27.2286i | −0.343853 | + | 1.05827i | ||||
\(663\) | −6.22938 | + | 19.1721i | −0.241929 | + | 0.744582i | ||||
\(664\) | 0.123025 | + | 0.378632i | 0.00477430 | + | 0.0146938i | ||||
\(665\) | 8.58709 | − | 5.78215i | 0.332993 | − | 0.224222i | ||||
\(666\) | 2.95304 | − | 9.08853i | 0.114428 | − | 0.352173i | ||||
\(667\) | 58.5407 | + | 42.5323i | 2.26671 | + | 1.64686i | ||||
\(668\) | 13.6998 | 0.530063 | ||||||||
\(669\) | −1.15135 | − | 0.836504i | −0.0445137 | − | 0.0323411i | ||||
\(670\) | −0.950444 | − | 0.743785i | −0.0367189 | − | 0.0287349i | ||||
\(671\) | 4.23646 | − | 3.07797i | 0.163547 | − | 0.118824i | ||||
\(672\) | −2.90916 | + | 2.11363i | −0.112223 | + | 0.0815350i | ||||
\(673\) | 8.83160 | + | 27.1809i | 0.340433 | + | 1.04775i | 0.963983 | + | 0.265962i | \(0.0856896\pi\) |
−0.623550 | + | 0.781783i | \(0.714310\pi\) | |||||||
\(674\) | 24.1752 | 0.931193 | ||||||||
\(675\) | −7.88199 | + | 19.4197i | −0.303378 | + | 0.747465i | ||||
\(676\) | −1.10255 | −0.0424058 | ||||||||
\(677\) | 8.65070 | + | 26.6241i | 0.332473 | + | 1.02325i | 0.967953 | + | 0.251130i | \(0.0808023\pi\) |
−0.635480 | + | 0.772117i | \(0.719198\pi\) | |||||||
\(678\) | 7.15041 | − | 5.19507i | 0.274610 | − | 0.199516i | ||||
\(679\) | 40.6025 | − | 29.4995i | 1.55818 | − | 1.13209i | ||||
\(680\) | −16.8147 | − | 0.600558i | −0.644813 | − | 0.0230303i | ||||
\(681\) | 13.8773 | + | 10.0825i | 0.531780 | + | 0.386360i | ||||
\(682\) | −5.12904 | −0.196401 | ||||||||
\(683\) | −17.2242 | − | 12.5141i | −0.659067 | − | 0.478840i | 0.207281 | − | 0.978282i | \(-0.433539\pi\) |
−0.866348 | + | 0.499441i | \(0.833539\pi\) | |||||||
\(684\) | 0.740631 | − | 2.27943i | 0.0283187 | − | 0.0871561i | ||||
\(685\) | 19.6717 | + | 15.3944i | 0.751618 | + | 0.588190i | ||||
\(686\) | 10.6359 | + | 32.7341i | 0.406082 | + | 1.24979i | ||||
\(687\) | 5.20974 | − | 16.0339i | 0.198764 | − | 0.611733i | ||||
\(688\) | 2.37627 | − | 7.31341i | 0.0905945 | − | 0.278821i | ||||
\(689\) | 3.36977 | + | 10.3711i | 0.128378 | + | 0.395107i | ||||
\(690\) | 10.4646 | + | 8.18923i | 0.398380 | + | 0.311758i | ||||
\(691\) | −10.8318 | + | 33.3370i | −0.412062 | + | 1.26820i | 0.502790 | + | 0.864409i | \(0.332307\pi\) |
−0.914852 | + | 0.403789i | \(0.867693\pi\) | |||||||
\(692\) | 8.25518 | + | 5.99774i | 0.313815 | + | 0.228000i | ||||
\(693\) | 6.54674 | 0.248690 | ||||||||
\(694\) | −16.3956 | − | 11.9121i | −0.622370 | − | 0.452178i | ||||
\(695\) | 0.851073 | + | 0.0303972i | 0.0322830 | + | 0.00115303i | ||||
\(696\) | 5.94284 | − | 4.31773i | 0.225263 | − | 0.163663i | ||||
\(697\) | −2.69250 | + | 1.95622i | −0.101986 | + | 0.0740971i | ||||
\(698\) | 4.56530 | + | 14.0506i | 0.172799 | + | 0.531822i | ||||
\(699\) | 5.87017 | 0.222030 | ||||||||
\(700\) | −23.0896 | − | 1.65146i | −0.872705 | − | 0.0624192i | ||||
\(701\) | −0.445917 | −0.0168420 | −0.00842102 | − | 0.999965i | \(-0.502681\pi\) | ||||
−0.00842102 | + | 0.999965i | \(0.502681\pi\) | |||||||
\(702\) | 4.46782 | + | 13.7505i | 0.168627 | + | 0.518980i | ||||
\(703\) | 3.22571 | − | 2.34362i | 0.121660 | − | 0.0883912i | ||||
\(704\) | −0.477319 | + | 0.346793i | −0.0179897 | + | 0.0130702i | ||||
\(705\) | −12.6204 | − | 9.87633i | −0.475313 | − | 0.371964i | ||||
\(706\) | −14.7349 | − | 10.7055i | −0.554556 | − | 0.402909i | ||||
\(707\) | −17.0838 | −0.642501 | ||||||||
\(708\) | −4.11606 | − | 2.99049i | −0.154691 | − | 0.112390i | ||||
\(709\) | 12.0629 | − | 37.1257i | 0.453031 | − | 1.39429i | −0.420400 | − | 0.907339i | \(-0.638110\pi\) |
0.873431 | − | 0.486947i | \(-0.161890\pi\) | |||||||
\(710\) | −11.2349 | + | 7.56507i | −0.421639 | + | 0.283912i | ||||
\(711\) | 3.97934 | + | 12.2471i | 0.149237 | + | 0.459304i | ||||
\(712\) | −2.28048 | + | 7.01860i | −0.0854647 | + | 0.263033i | ||||
\(713\) | −20.5535 | + | 63.2572i | −0.769735 | + | 2.36900i | ||||
\(714\) | −8.36128 | − | 25.7334i | −0.312913 | − | 0.963047i | ||||
\(715\) | −1.55978 | + | 4.27488i | −0.0583323 | + | 0.159871i | ||||
\(716\) | 2.74105 | − | 8.43609i | 0.102438 | − | 0.315272i | ||||
\(717\) | −8.66835 | − | 6.29793i | −0.323726 | − | 0.235200i | ||||
\(718\) | 2.39130 | 0.0892424 | ||||||||
\(719\) | −11.4476 | − | 8.31713i | −0.426922 | − | 0.310177i | 0.353495 | − | 0.935436i | \(-0.384993\pi\) |
−0.780417 | + | 0.625260i | \(0.784993\pi\) | |||||||
\(720\) | −4.44540 | + | 2.99333i | −0.165670 | + | 0.111555i | ||||
\(721\) | 59.5821 | − | 43.2890i | 2.21895 | − | 1.61217i | ||||
\(722\) | 0.809017 | − | 0.587785i | 0.0301085 | − | 0.0218751i | ||||
\(723\) | −2.62482 | − | 8.07835i | −0.0976179 | − | 0.300437i | ||||
\(724\) | −12.0778 | −0.448868 | ||||||||
\(725\) | 47.1675 | + | 3.37360i | 1.75176 | + | 0.125292i | ||||
\(726\) | 8.27337 | 0.307054 | ||||||||
\(727\) | 6.51829 | + | 20.0612i | 0.241750 | + | 0.744030i | 0.996154 | + | 0.0876195i | \(0.0279260\pi\) |
−0.754404 | + | 0.656410i | \(0.772074\pi\) | |||||||
\(728\) | −12.9193 | + | 9.38642i | −0.478821 | + | 0.347884i | ||||
\(729\) | −0.272697 | + | 0.198126i | −0.0100999 | + | 0.00733799i | ||||
\(730\) | −8.05960 | − | 28.1917i | −0.298299 | − | 1.04342i | ||||
\(731\) | 46.8114 | + | 34.0105i | 1.73138 | + | 1.25792i | ||||
\(732\) | −6.89365 | −0.254797 | ||||||||
\(733\) | −12.6139 | − | 9.16452i | −0.465904 | − | 0.338499i | 0.329939 | − | 0.944002i | \(-0.392972\pi\) |
−0.795843 | + | 0.605503i | \(0.792972\pi\) | |||||||
\(734\) | 2.47812 | − | 7.62688i | 0.0914692 | − | 0.281513i | ||||
\(735\) | −6.89078 | − | 24.1033i | −0.254170 | − | 0.889063i | ||||
\(736\) | 2.36429 | + | 7.27655i | 0.0871490 | + | 0.268217i | ||||
\(737\) | 0.0984041 | − | 0.302857i | 0.00362476 | − | 0.0111559i | ||||
\(738\) | −0.327582 | + | 1.00819i | −0.0120585 | + | 0.0371121i | ||||
\(739\) | −10.5190 | − | 32.3742i | −0.386949 | − | 1.19091i | −0.935057 | − | 0.354498i | \(-0.884652\pi\) |
0.548108 | − | 0.836407i | \(-0.315348\pi\) | |||||||
\(740\) | −8.90997 | − | 0.318231i | −0.327537 | − | 0.0116984i | ||||
\(741\) | −0.827875 | + | 2.54794i | −0.0304127 | + | 0.0936008i | ||||
\(742\) | −11.8414 | − | 8.60329i | −0.434712 | − | 0.315837i | ||||
\(743\) | −13.1498 | −0.482419 | −0.241210 | − | 0.970473i | \(-0.577544\pi\) | ||||
−0.241210 | + | 0.970473i | \(0.577544\pi\) | |||||||
\(744\) | 5.46258 | + | 3.96879i | 0.200268 | + | 0.145503i | ||||
\(745\) | −3.33206 | + | 9.13216i | −0.122077 | + | 0.334577i | ||||
\(746\) | 10.4664 | − | 7.60428i | 0.383202 | − | 0.278412i | ||||
\(747\) | −0.771949 | + | 0.560854i | −0.0282441 | + | 0.0205206i | ||||
\(748\) | −1.37187 | − | 4.22219i | −0.0501607 | − | 0.154379i | ||||
\(749\) | −11.4198 | −0.417272 | ||||||||
\(750\) | 8.63405 | + | 0.928288i | 0.315271 | + | 0.0338963i | ||||
\(751\) | −22.6095 | −0.825031 | −0.412516 | − | 0.910951i | \(-0.635350\pi\) | ||||
−0.412516 | + | 0.910951i | \(0.635350\pi\) | |||||||
\(752\) | −2.85137 | − | 8.77563i | −0.103979 | − | 0.320014i | ||||
\(753\) | 1.46363 | − | 1.06339i | 0.0533375 | − | 0.0387520i | ||||
\(754\) | 26.3916 | − | 19.1746i | 0.961126 | − | 0.698299i | ||||
\(755\) | 13.7746 | − | 37.7520i | 0.501309 | − | 1.37394i | ||||
\(756\) | −15.7000 | − | 11.4067i | −0.571002 | − | 0.414857i | ||||
\(757\) | −43.7541 | −1.59027 | −0.795135 | − | 0.606432i | \(-0.792600\pi\) | ||||
−0.795135 | + | 0.606432i | \(0.792600\pi\) | |||||||
\(758\) | 12.9467 | + | 9.40631i | 0.470244 | + | 0.341653i | ||||
\(759\) | −1.08345 | + | 3.33451i | −0.0393267 | + | 0.121035i | ||||
\(760\) | −2.23464 | − | 0.0798131i | −0.0810590 | − | 0.00289513i | ||||
\(761\) | −10.0720 | − | 30.9983i | −0.365108 | − | 1.12369i | −0.949913 | − | 0.312514i | \(-0.898829\pi\) |
0.584805 | − | 0.811174i | \(-0.301171\pi\) | |||||||
\(762\) | −3.05340 | + | 9.39741i | −0.110613 | + | 0.340432i | ||||
\(763\) | 13.7604 | − | 42.3502i | 0.498160 | − | 1.53318i | ||||
\(764\) | 6.72052 | + | 20.6836i | 0.243140 | + | 0.748308i | ||||
\(765\) | −11.0845 | − | 38.7726i | −0.400762 | − | 1.40183i | ||||
\(766\) | −1.63090 | + | 5.01939i | −0.0589268 | + | 0.181358i | ||||
\(767\) | −18.2790 | − | 13.2805i | −0.660018 | − | 0.479531i | ||||
\(768\) | 0.776704 | 0.0280269 | ||||||||
\(769\) | 38.0673 | + | 27.6575i | 1.37274 | + | 0.997355i | 0.997517 | + | 0.0704215i | \(0.0224344\pi\) |
0.375225 | + | 0.926934i | \(0.377566\pi\) | |||||||
\(770\) | −1.67890 | − | 5.87261i | −0.0605032 | − | 0.211634i | ||||
\(771\) | 11.5548 | − | 8.39503i | 0.416135 | − | 0.302340i | ||||
\(772\) | 7.51903 | − | 5.46290i | 0.270616 | − | 0.196614i | ||||
\(773\) | 5.41713 | + | 16.6722i | 0.194841 | + | 0.599658i | 0.999978 | + | 0.00656985i | \(0.00209126\pi\) |
−0.805138 | + | 0.593088i | \(0.797909\pi\) | |||||||
\(774\) | 18.4303 | 0.662464 | ||||||||
\(775\) | 10.4485 | + | 42.1920i | 0.375320 | + | 1.51558i | ||||
\(776\) | −10.8403 | −0.389144 | ||||||||
\(777\) | −4.43058 | − | 13.6359i | −0.158946 | − | 0.489186i | ||||
\(778\) | −22.8359 | + | 16.5912i | −0.818705 | + | 0.594824i | ||||
\(779\) | −0.357829 | + | 0.259978i | −0.0128206 | + | 0.00931469i | ||||
\(780\) | 4.96906 | − | 3.34593i | 0.177921 | − | 0.119804i | ||||
\(781\) | −2.89126 | − | 2.10063i | −0.103458 | − | 0.0751663i | ||||
\(782\) | −57.5704 | −2.05871 | ||||||||
\(783\) | 32.0719 | + | 23.3016i | 1.14616 | + | 0.832732i | ||||
\(784\) | 4.46044 | − | 13.7278i | 0.159301 | − | 0.490279i | ||||
\(785\) | 3.85834 | − | 10.5746i | 0.137710 | − | 0.377422i | ||||
\(786\) | 0.955508 | + | 2.94075i | 0.0340818 | + | 0.104893i | ||||
\(787\) | 11.6341 | − | 35.8062i | 0.414712 | − | 1.27635i | −0.497796 | − | 0.867294i | \(-0.665857\pi\) |
0.912508 | − | 0.409058i | \(-0.134143\pi\) | |||||||
\(788\) | 1.66309 | − | 5.11847i | 0.0592451 | − | 0.182338i | ||||
\(789\) | 1.26821 | + | 3.90316i | 0.0451496 | + | 0.138956i | ||||
\(790\) | 9.96554 | − | 6.71033i | 0.354558 | − | 0.238743i | ||||
\(791\) | −16.2800 | + | 50.1047i | −0.578850 | + | 1.78152i | ||||
\(792\) | −1.14401 | − | 0.831169i | −0.0406505 | − | 0.0295343i | ||||
\(793\) | −30.6140 | −1.08714 | ||||||||
\(794\) | −5.79692 | − | 4.21171i | −0.205725 | − | 0.149468i | ||||
\(795\) | 4.32408 | + | 3.38388i | 0.153359 | + | 0.120014i | ||||
\(796\) | 1.06797 | − | 0.775925i | 0.0378532 | − | 0.0275019i | ||||
\(797\) | 6.20757 | − | 4.51007i | 0.219884 | − | 0.159755i | −0.472391 | − | 0.881389i | \(-0.656609\pi\) |
0.692274 | + | 0.721635i | \(0.256609\pi\) | |||||||
\(798\) | −1.11120 | − | 3.41992i | −0.0393361 | − | 0.121064i | ||||
\(799\) | 69.4308 | 2.45628 | ||||||||
\(800\) | 3.82511 | + | 3.22002i | 0.135238 | + | 0.113845i | ||||
\(801\) | −17.6874 | −0.624953 | ||||||||
\(802\) | 2.75906 | + | 8.49152i | 0.0974258 | + | 0.299846i | ||||
\(803\) | 6.25899 | − | 4.54743i | 0.220875 | − | 0.160475i | ||||
\(804\) | −0.339150 | + | 0.246407i | −0.0119609 | + | 0.00869011i | ||||
\(805\) | −79.1556 | − | 2.82714i | −2.78987 | − | 0.0996437i | ||||
\(806\) | 24.2588 | + | 17.6250i | 0.854479 | + | 0.620815i | ||||
\(807\) | 6.74646 | 0.237487 | ||||||||
\(808\) | 2.98529 | + | 2.16894i | 0.105022 | + | 0.0763031i | ||||
\(809\) | −3.84924 | + | 11.8467i | −0.135332 | + | 0.416509i | −0.995642 | − | 0.0932629i | \(-0.970270\pi\) |
0.860309 | + | 0.509772i | \(0.170270\pi\) | |||||||
\(810\) | −6.92849 | − | 5.42200i | −0.243442 | − | 0.190510i | ||||
\(811\) | −9.27900 | − | 28.5578i | −0.325830 | − | 1.00280i | −0.971065 | − | 0.238817i | \(-0.923241\pi\) |
0.645235 | − | 0.763984i | \(-0.276759\pi\) | |||||||
\(812\) | −13.5306 | + | 41.6430i | −0.474832 | + | 1.46138i | ||||
\(813\) | −1.66549 | + | 5.12586i | −0.0584113 | + | 0.179772i | ||||
\(814\) | −0.726945 | − | 2.23731i | −0.0254794 | − | 0.0784176i | ||||
\(815\) | −6.71369 | − | 5.25390i | −0.235170 | − | 0.184036i | ||||
\(816\) | −1.80600 | + | 5.55830i | −0.0632227 | + | 0.194579i | ||||
\(817\) | 6.22116 | + | 4.51994i | 0.217651 | + | 0.158133i | ||||
\(818\) | 27.1441 | 0.949071 | ||||||||
\(819\) | −30.9641 | − | 22.4967i | −1.08197 | − | 0.786099i | ||||
\(820\) | 0.988386 | + | 0.0353015i | 0.0345159 | + | 0.00123278i | ||||
\(821\) | 29.2794 | − | 21.2727i | 1.02186 | − | 0.742423i | 0.0551946 | − | 0.998476i | \(-0.482422\pi\) |
0.966663 | + | 0.256053i | \(0.0824221\pi\) | |||||||
\(822\) | 7.01953 | − | 5.09999i | 0.244834 | − | 0.177882i | ||||
\(823\) | 5.29451 | + | 16.2948i | 0.184555 | + | 0.568001i | 0.999940 | − | 0.0109168i | \(-0.00347501\pi\) |
−0.815386 | + | 0.578918i | \(0.803475\pi\) | |||||||
\(824\) | −15.9076 | −0.554167 | ||||||||
\(825\) | 0.550776 | + | 2.22409i | 0.0191756 | + | 0.0774329i | ||||
\(826\) | 30.3266 | 1.05520 | ||||||||
\(827\) | 15.6821 | + | 48.2646i | 0.545321 | + | 1.67833i | 0.720225 | + | 0.693740i | \(0.244038\pi\) |
−0.174904 | + | 0.984585i | \(0.555962\pi\) | |||||||
\(828\) | −14.8353 | + | 10.7785i | −0.515562 | + | 0.374578i | ||||
\(829\) | 3.57482 | − | 2.59726i | 0.124159 | − | 0.0902066i | −0.523973 | − | 0.851735i | \(-0.675551\pi\) |
0.648132 | + | 0.761528i | \(0.275551\pi\) | |||||||
\(830\) | 0.701066 | + | 0.548630i | 0.0243344 | + | 0.0190432i | ||||
\(831\) | 15.3055 | + | 11.1201i | 0.530943 | + | 0.385753i | ||||
\(832\) | 3.44927 | 0.119582 | ||||||||
\(833\) | 87.8685 | + | 63.8402i | 3.04446 | + | 2.21193i | ||||
\(834\) | 0.0914106 | − | 0.281333i | 0.00316529 | − | 0.00974176i | ||||
\(835\) | 25.4102 | − | 17.1100i | 0.879355 | − | 0.592116i | ||||
\(836\) | −0.182320 | − | 0.561123i | −0.00630566 | − | 0.0194068i | ||||
\(837\) | −11.2604 | + | 34.6559i | −0.389216 | + | 1.19788i | ||||
\(838\) | 3.55495 | − | 10.9410i | 0.122804 | − | 0.377951i | ||||
\(839\) | 1.85974 | + | 5.72369i | 0.0642054 | + | 0.197604i | 0.978013 | − | 0.208543i | \(-0.0668721\pi\) |
−0.913808 | + | 0.406147i | \(0.866872\pi\) | |||||||
\(840\) | −2.75609 | + | 7.55362i | −0.0950942 | + | 0.260625i | ||||
\(841\) | 18.6789 | − | 57.4879i | 0.644101 | − | 1.98234i | ||||
\(842\) | −28.7516 | − | 20.8892i | −0.990845 | − | 0.719891i | ||||
\(843\) | 14.2918 | 0.492237 | ||||||||
\(844\) | 15.1979 | + | 11.0420i | 0.523135 | + | 0.380080i | ||||
\(845\) | −2.04499 | + | 1.37700i | −0.0703497 | + | 0.0473702i | ||||
\(846\) | 17.8916 | − | 12.9990i | 0.615125 | − | 0.446915i | ||||
\(847\) | −39.8969 | + | 28.9868i | −1.37087 | + | 0.995998i | ||||
\(848\) | 0.976953 | + | 3.00675i | 0.0335487 | + | 0.103252i | ||||
\(849\) | 9.64567 | 0.331039 | ||||||||
\(850\) | −31.9375 | + | 19.8863i | −1.09545 | + | 0.682094i | ||||
\(851\) | −30.5061 | −1.04574 | ||||||||
\(852\) | 1.45384 | + | 4.47446i | 0.0498077 | + | 0.153292i | ||||
\(853\) | 4.68655 | − | 3.40498i | 0.160464 | − | 0.116584i | −0.504655 | − | 0.863321i | \(-0.668380\pi\) |
0.665120 | + | 0.746737i | \(0.268380\pi\) | |||||||
\(854\) | 33.2434 | − | 24.1528i | 1.13757 | − | 0.826491i | ||||
\(855\) | −1.47312 | − | 5.15282i | −0.0503795 | − | 0.176223i | ||||
\(856\) | 1.99555 | + | 1.44985i | 0.0682065 | + | 0.0495549i | ||||
\(857\) | 33.5669 | 1.14662 | 0.573312 | − | 0.819337i | \(-0.305658\pi\) | ||||
0.573312 | + | 0.819337i | \(0.305658\pi\) | |||||||
\(858\) | 1.27877 | + | 0.929079i | 0.0436564 | + | 0.0317182i | ||||
\(859\) | −17.5196 | + | 53.9199i | −0.597762 | + | 1.83972i | −0.0572967 | + | 0.998357i | \(0.518248\pi\) |
−0.540466 | + | 0.841366i | \(0.681752\pi\) | |||||||
\(860\) | −4.72641 | − | 16.5325i | −0.161169 | − | 0.563754i | ||||
\(861\) | 0.491486 | + | 1.51264i | 0.0167498 | + | 0.0515505i | ||||
\(862\) | 3.24609 | − | 9.99044i | 0.110562 | − | 0.340276i | ||||
\(863\) | −15.3186 | + | 47.1459i | −0.521453 | + | 1.60487i | 0.249773 | + | 0.968304i | \(0.419644\pi\) |
−0.771226 | + | 0.636562i | \(0.780356\pi\) | |||||||
\(864\) | 1.29529 | + | 3.98651i | 0.0440668 | + | 0.135624i | ||||
\(865\) | 22.8022 | + | 0.814410i | 0.775299 | + | 0.0276908i | ||||
\(866\) | 10.5493 | − | 32.4673i | 0.358479 | − | 1.10328i | ||||
\(867\) | −24.8951 | − | 18.0874i | −0.845483 | − | 0.614279i | ||||
\(868\) | −40.2475 | −1.36609 | ||||||||
\(869\) | 2.56459 | + | 1.86329i | 0.0869978 | + | 0.0632076i | ||||
\(870\) | 5.63015 | − | 15.4306i | 0.190880 | − | 0.523145i | ||||
\(871\) | −1.50613 | + | 1.09427i | −0.0510334 | + | 0.0370780i | ||||
\(872\) | −7.78130 | + | 5.65344i | −0.263508 | + | 0.191450i | ||||
\(873\) | −8.02865 | − | 24.7097i | −0.271729 | − | 0.836295i | ||||
\(874\) | −7.65102 | −0.258799 | ||||||||
\(875\) | −44.8886 | + | 25.7740i | −1.51751 | + | 0.871320i | ||||
\(876\) | −10.1848 | −0.344111 | ||||||||
\(877\) | −13.2156 | − | 40.6735i | −0.446260 | − | 1.37345i | −0.881096 | − | 0.472937i | \(-0.843194\pi\) |
0.434836 | − | 0.900510i | \(-0.356806\pi\) | |||||||
\(878\) | −16.8536 | + | 12.2449i | −0.568783 | + | 0.413245i | ||||
\(879\) | −2.63995 | + | 1.91803i | −0.0890433 | + | 0.0646937i | ||||
\(880\) | −0.452205 | + | 1.23936i | −0.0152438 | + | 0.0417787i | ||||
\(881\) | 27.5993 | + | 20.0521i | 0.929844 | + | 0.675571i | 0.945955 | − | 0.324299i | \(-0.105128\pi\) |
−0.0161106 | + | 0.999870i | \(0.505128\pi\) | |||||||
\(882\) | 34.5951 | 1.16488 | ||||||||
\(883\) | −21.7925 | − | 15.8332i | −0.733376 | − | 0.532829i | 0.157253 | − | 0.987558i | \(-0.449736\pi\) |
−0.890630 | + | 0.454729i | \(0.849736\pi\) | |||||||
\(884\) | −8.02028 | + | 24.6839i | −0.269751 | + | 0.830209i | ||||
\(885\) | −11.3693 | − | 0.406068i | −0.382174 | − | 0.0136498i | ||||
\(886\) | 7.84873 | + | 24.1559i | 0.263683 | + | 0.811533i | ||||
\(887\) | −9.09338 | + | 27.9865i | −0.305326 | + | 0.939696i | 0.674230 | + | 0.738522i | \(0.264476\pi\) |
−0.979555 | + | 0.201174i | \(0.935524\pi\) | |||||||
\(888\) | −0.956986 | + | 2.94530i | −0.0321144 | + | 0.0988378i | ||||
\(889\) | −18.2005 | − | 56.0154i | −0.610425 | − | 1.87869i | ||||
\(890\) | 4.53589 | + | 15.8661i | 0.152043 | + | 0.531832i | ||||
\(891\) | 0.717340 | − | 2.20774i | 0.0240318 | − | 0.0739622i | ||||
\(892\) | −1.48235 | − | 1.07699i | −0.0496328 | − | 0.0360604i | ||||
\(893\) | 9.22724 | 0.308778 | ||||||||
\(894\) | 2.73176 | + | 1.98474i | 0.0913636 | + | 0.0663795i | ||||
\(895\) | −5.45196 | − | 19.0704i | −0.182239 | − | 0.637454i | ||||
\(896\) | −3.74552 | + | 2.72128i | −0.125129 | + | 0.0909116i | ||||
\(897\) | 16.5828 | − | 12.0481i | 0.553685 | − | 0.402276i | ||||
\(898\) | 3.69638 | + | 11.3763i | 0.123350 | + | 0.379632i | ||||
\(899\) | 82.2178 | 2.74212 | ||||||||
\(900\) | −4.50681 | + | 11.1039i | −0.150227 | + | 0.370130i | ||||
\(901\) | −23.7887 | −0.792518 | ||||||||
\(902\) | 0.0806403 | + | 0.248185i | 0.00268503 | + | 0.00826367i | ||||
\(903\) | 22.3708 | − | 16.2533i | 0.744453 | − | 0.540877i | ||||
\(904\) | 9.20609 | − | 6.68862i | 0.306190 | − | 0.222460i | ||||
\(905\) | −22.4016 | + | 15.0842i | −0.744655 | + | 0.501416i | ||||
\(906\) | −11.2930 | − | 8.20483i | −0.375184 | − | 0.272587i | ||||
\(907\) | 29.0178 | 0.963520 | 0.481760 | − | 0.876303i | \(-0.339998\pi\) | ||||
0.481760 | + | 0.876303i | \(0.339998\pi\) | |||||||
\(908\) | 17.8669 | + | 12.9811i | 0.592935 | + | 0.430792i | ||||
\(909\) | −2.73294 | + | 8.41114i | −0.0906461 | + | 0.278980i | ||||
\(910\) | −12.2395 | + | 33.5449i | −0.405737 | + | 1.11200i | ||||
\(911\) | 13.3344 | + | 41.0392i | 0.441790 | + | 1.35969i | 0.885966 | + | 0.463750i | \(0.153496\pi\) |
−0.444176 | + | 0.895939i | \(0.646504\pi\) | |||||||
\(912\) | −0.240015 | + | 0.738689i | −0.00794768 | + | 0.0244604i | ||||
\(913\) | −0.0725848 | + | 0.223393i | −0.00240220 | + | 0.00739323i | ||||
\(914\) | 10.2010 | + | 31.3955i | 0.337420 | + | 1.03847i | ||||
\(915\) | −12.7862 | + | 8.60962i | −0.422698 | + | 0.284625i | ||||
\(916\) | 6.70750 | − | 20.6436i | 0.221622 | − | 0.682083i | ||||
\(917\) | −14.9111 | − | 10.8335i | −0.492407 | − | 0.357754i | ||||
\(918\) | −31.5404 | −1.04099 | ||||||||
\(919\) | 28.0349 | + | 20.3685i | 0.924785 | + | 0.671896i | 0.944710 | − | 0.327906i | \(-0.106343\pi\) |
−0.0199253 | + | 0.999801i | \(0.506343\pi\) | |||||||
\(920\) | 13.4731 | + | 10.5436i | 0.444194 | + | 0.347611i | ||||
\(921\) | 2.12403 | − | 1.54320i | 0.0699892 | − | 0.0508502i | ||||
\(922\) | 22.0267 | − | 16.0033i | 0.725409 | − | 0.527041i | ||||
\(923\) | 6.45636 | + | 19.8706i | 0.212514 | + | 0.654050i | ||||
\(924\) | −2.12159 | −0.0697952 | ||||||||
\(925\) | −16.9234 | + | 10.5376i | −0.556440 | + | 0.346474i | ||||
\(926\) | −20.9777 | −0.689370 | ||||||||
\(927\) | −11.7816 | − | 36.2602i | −0.386960 | − | 1.19094i | ||||
\(928\) | 7.65136 | − | 5.55904i | 0.251168 | − | 0.182484i | ||||
\(929\) | −5.68195 | + | 4.12818i | −0.186419 | + | 0.135441i | −0.677080 | − | 0.735909i | \(-0.736755\pi\) |
0.490662 | + | 0.871350i | \(0.336755\pi\) | |||||||
\(930\) | 15.0886 | + | 0.538908i | 0.494774 | + | 0.0176715i | ||||
\(931\) | 11.6776 | + | 8.48426i | 0.382717 | + | 0.278060i | ||||
\(932\) | 7.55780 | 0.247564 | ||||||||
\(933\) | −10.9648 | − | 7.96638i | −0.358971 | − | 0.260808i | ||||
\(934\) | −9.35325 | + | 28.7863i | −0.306048 | + | 0.941918i | ||||
\(935\) | −7.81770 | − | 6.11787i | −0.255666 | − | 0.200076i | ||||
\(936\) | 2.55463 | + | 7.86235i | 0.0835008 | + | 0.256989i | ||||
\(937\) | 1.05953 | − | 3.26090i | 0.0346134 | − | 0.106529i | −0.932257 | − | 0.361796i | \(-0.882164\pi\) |
0.966870 | + | 0.255267i | \(0.0821635\pi\) | |||||||
\(938\) | 0.772176 | − | 2.37651i | 0.0252124 | − | 0.0775959i | ||||
\(939\) | 2.18791 | + | 6.73368i | 0.0713996 | + | 0.219746i | ||||
\(940\) | −16.2487 | − | 12.7157i | −0.529975 | − | 0.414740i | ||||
\(941\) | −8.85301 | + | 27.2468i | −0.288600 | + | 0.888219i | 0.696697 | + | 0.717366i | \(0.254652\pi\) |
−0.985297 | + | 0.170853i | \(0.945348\pi\) | |||||||
\(942\) | −3.16323 | − | 2.29822i | −0.103064 | − | 0.0748800i | ||||
\(943\) | 3.38406 | 0.110200 | ||||||||
\(944\) | −5.29940 | − | 3.85024i | −0.172481 | − | 0.125315i | ||||
\(945\) | −43.3660 | − | 1.54887i | −1.41069 | − | 0.0503848i | ||||
\(946\) | 3.67048 | − | 2.66676i | 0.119338 | − | 0.0867038i | ||||
\(947\) | −4.65018 | + | 3.37855i | −0.151110 | + | 0.109788i | −0.660772 | − | 0.750587i | \(-0.729771\pi\) |
0.509661 | + | 0.860375i | \(0.329771\pi\) | |||||||
\(948\) | −1.28958 | − | 3.96891i | −0.0418835 | − | 0.128904i | ||||
\(949\) | −45.2296 | −1.46821 | ||||||||
\(950\) | −4.24445 | + | 2.64286i | −0.137708 | + | 0.0857455i | ||||
\(951\) | 3.35526 | 0.108802 | ||||||||
\(952\) | −10.7651 | − | 33.1315i | −0.348898 | − | 1.07380i | ||||
\(953\) | 36.7650 | − | 26.7114i | 1.19094 | − | 0.865266i | 0.197573 | − | 0.980288i | \(-0.436694\pi\) |
0.993363 | + | 0.115022i | \(0.0366940\pi\) | |||||||
\(954\) | −6.13011 | + | 4.45378i | −0.198470 | + | 0.144197i | ||||
\(955\) | 38.2973 | + | 29.9701i | 1.23927 | + | 0.969811i | ||||
\(956\) | −11.1604 | − | 8.10853i | −0.360954 | − | 0.262249i | ||||
\(957\) | 4.33399 | 0.140098 | ||||||||
\(958\) | 12.6534 | + | 9.19325i | 0.408814 | + | 0.297021i | ||||
\(959\) | −15.9820 | + | 49.1876i | −0.516087 | + | 1.58835i | ||||
\(960\) | 1.44061 | − | 0.970041i | 0.0464956 | − | 0.0313079i | ||||
\(961\) | 13.7739 | + | 42.3918i | 0.444320 | + | 1.36748i | ||||
\(962\) | −4.24989 | + | 13.0798i | −0.137022 | + | 0.421710i | ||||
\(963\) | −1.82687 | + | 5.62252i | −0.0588700 | + | 0.181183i | ||||
\(964\) | −3.37943 | − | 10.4008i | −0.108844 | − | 0.334988i | ||||
\(965\) | 7.12341 | − | 19.5231i | 0.229311 | − | 0.628472i | ||||
\(966\) | −8.50181 | + | 26.1659i | −0.273541 | + | 0.841873i | ||||
\(967\) | 4.12233 | + | 2.99505i | 0.132565 | + | 0.0963142i | 0.652092 | − | 0.758140i | \(-0.273892\pi\) |
−0.519527 | + | 0.854454i | \(0.673892\pi\) | |||||||
\(968\) | 10.6519 | 0.342365 | ||||||||
\(969\) | −4.72817 | − | 3.43522i | −0.151891 | − | 0.110355i | ||||
\(970\) | −20.1063 | + | 13.5387i | −0.645575 | + | 0.434700i | ||||
\(971\) | −39.6978 | + | 28.8422i | −1.27396 | + | 0.925589i | −0.999353 | − | 0.0359669i | \(-0.988549\pi\) |
−0.274611 | + | 0.961556i | \(0.588549\pi\) | |||||||
\(972\) | −12.6457 | + | 9.18763i | −0.405611 | + | 0.294694i | ||||
\(973\) | 0.544873 | + | 1.67695i | 0.0174678 | + | 0.0537604i | ||||
\(974\) | −2.43279 | −0.0779517 | ||||||||
\(975\) | 5.03770 | − | 12.4119i | 0.161335 | − | 0.397499i | ||||
\(976\) | −8.87552 | −0.284098 | ||||||||
\(977\) | −11.6569 | − | 35.8761i | −0.372936 | − | 1.14778i | −0.944861 | − | 0.327472i | \(-0.893803\pi\) |
0.571925 | − | 0.820306i | \(-0.306197\pi\) | |||||||
\(978\) | −2.39567 | + | 1.74056i | −0.0766051 | + | 0.0556569i | ||||
\(979\) | −3.52252 | + | 2.55926i | −0.112580 | + | 0.0817943i | ||||
\(980\) | −8.87183 | − | 31.0328i | −0.283400 | − | 0.991306i | ||||
\(981\) | −18.6497 | − | 13.5498i | −0.595438 | − | 0.432611i | ||||
\(982\) | −8.32219 | −0.265572 | ||||||||
\(983\) | 33.6915 | + | 24.4783i | 1.07459 | + | 0.780737i | 0.976732 | − | 0.214463i | \(-0.0688001\pi\) |
0.0978605 | + | 0.995200i | \(0.468800\pi\) | |||||||
\(984\) | 0.106159 | − | 0.326723i | 0.00338422 | − | 0.0104156i | ||||
\(985\) | −3.30789 | − | 11.5707i | −0.105398 | − | 0.368673i | ||||
\(986\) | 21.9909 | + | 67.6812i | 0.700334 | + | 2.15541i | ||||
\(987\) | 10.2533 | − | 31.5564i | 0.326367 | − | 1.00445i | ||||
\(988\) | −1.06588 | + | 3.28045i | −0.0339102 | + | 0.104365i | ||||
\(989\) | −18.1809 | − | 55.9550i | −0.578118 | − | 1.77927i | ||||
\(990\) | −3.15994 | − | 0.112861i | −0.100430 | − | 0.00358697i | ||||
\(991\) | −3.31895 | + | 10.2147i | −0.105430 | + | 0.324480i | −0.989831 | − | 0.142248i | \(-0.954567\pi\) |
0.884401 | + | 0.466727i | \(0.154567\pi\) | |||||||
\(992\) | 7.03302 | + | 5.10979i | 0.223299 | + | 0.162236i | ||||
\(993\) | 22.2369 | 0.705668 | ||||||||
\(994\) | −22.6877 | − | 16.4836i | −0.719610 | − | 0.522828i | ||||
\(995\) | 1.01178 | − | 2.77298i | 0.0320755 | − | 0.0879093i | ||||
\(996\) | 0.250164 | − | 0.181755i | 0.00792675 | − | 0.00575912i | ||||
\(997\) | −27.4052 | + | 19.9111i | −0.867933 | + | 0.630590i | −0.930031 | − | 0.367480i | \(-0.880221\pi\) |
0.0620987 | + | 0.998070i | \(0.480221\pi\) | |||||||
\(998\) | 5.60790 | + | 17.2593i | 0.177515 | + | 0.546335i | ||||
\(999\) | −16.7130 | −0.528776 |
(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 | 950.2.h.d.381.5 | ✓ | 44 | |
25.21 | even | 5 | inner | 950.2.h.d.571.5 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.h.d.381.5 | ✓ | 44 | 1.1 | even | 1 | trivial | |
950.2.h.d.571.5 | yes | 44 | 25.21 | even | 5 | inner |