Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 127.1 | ||
Character | \(\chi\) | \(=\) | 322.127 |
Dual form | 322.2.i.e.71.1 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.841254 | + | 0.540641i | −0.594856 | + | 0.382291i | ||||
\(3\) | −0.459025 | + | 3.19259i | −0.265018 | + | 1.84324i | 0.228544 | + | 0.973534i | \(0.426604\pi\) |
−0.493562 | + | 0.869710i | \(0.664306\pi\) | |||||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | −1.51548 | + | 0.444984i | −0.677741 | + | 0.199003i | −0.602447 | − | 0.798159i | \(-0.705808\pi\) |
−0.0752938 | + | 0.997161i | \(0.523989\pi\) | |||||||
\(6\) | −1.33989 | − | 2.93395i | −0.547007 | − | 1.19778i | ||||
\(7\) | −0.654861 | − | 0.755750i | −0.247514 | − | 0.285646i | ||||
\(8\) | 0.142315 | + | 0.989821i | 0.0503159 | + | 0.349955i | ||||
\(9\) | −7.10346 | − | 2.08576i | −2.36782 | − | 0.695255i | ||||
\(10\) | 1.03432 | − | 1.19367i | 0.327082 | − | 0.377472i | ||||
\(11\) | −3.31676 | − | 2.13155i | −1.00004 | − | 0.642687i | −0.0652432 | − | 0.997869i | \(-0.520782\pi\) |
−0.934797 | + | 0.355183i | \(0.884419\pi\) | |||||||
\(12\) | 2.71340 | + | 1.74379i | 0.783291 | + | 0.503390i | ||||
\(13\) | 1.69975 | − | 1.96161i | 0.471426 | − | 0.544054i | −0.469382 | − | 0.882995i | \(-0.655523\pi\) |
0.940808 | + | 0.338941i | \(0.110069\pi\) | |||||||
\(14\) | 0.959493 | + | 0.281733i | 0.256435 | + | 0.0752962i | ||||
\(15\) | −0.725010 | − | 5.04255i | −0.187197 | − | 1.30198i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 2.89606 | + | 6.34148i | 0.702397 | + | 1.53804i | 0.837040 | + | 0.547141i | \(0.184284\pi\) |
−0.134643 | + | 0.990894i | \(0.542989\pi\) | |||||||
\(18\) | 7.10346 | − | 2.08576i | 1.67430 | − | 0.491619i | ||||
\(19\) | −0.897585 | + | 1.96544i | −0.205920 | + | 0.450902i | −0.984210 | − | 0.177002i | \(-0.943360\pi\) |
0.778290 | + | 0.627905i | \(0.216087\pi\) | |||||||
\(20\) | −0.224780 | + | 1.56338i | −0.0502623 | + | 0.349582i | ||||
\(21\) | 2.71340 | − | 1.74379i | 0.592112 | − | 0.380527i | ||||
\(22\) | 3.94264 | 0.840573 | ||||||||
\(23\) | −3.68001 | − | 3.07531i | −0.767336 | − | 0.641246i | ||||
\(24\) | −3.22542 | −0.658387 | ||||||||
\(25\) | −2.10761 | + | 1.35448i | −0.421523 | + | 0.270896i | ||||
\(26\) | −0.369391 | + | 2.56917i | −0.0724435 | + | 0.503855i | ||||
\(27\) | 5.90000 | − | 12.9192i | 1.13546 | − | 2.48630i | ||||
\(28\) | −0.959493 | + | 0.281733i | −0.181327 | + | 0.0532424i | ||||
\(29\) | 2.53672 | + | 5.55464i | 0.471057 | + | 1.03147i | 0.984826 | + | 0.173542i | \(0.0555213\pi\) |
−0.513770 | + | 0.857928i | \(0.671751\pi\) | |||||||
\(30\) | 3.33613 | + | 3.85010i | 0.609091 | + | 0.702928i | ||||
\(31\) | −1.46075 | − | 10.1598i | −0.262359 | − | 1.82475i | −0.515005 | − | 0.857187i | \(-0.672210\pi\) |
0.252646 | − | 0.967559i | \(-0.418699\pi\) | |||||||
\(32\) | 0.959493 | + | 0.281733i | 0.169616 | + | 0.0498038i | ||||
\(33\) | 8.32765 | − | 9.61062i | 1.44966 | − | 1.67299i | ||||
\(34\) | −5.86478 | − | 3.76907i | −1.00580 | − | 0.646390i | ||||
\(35\) | 1.32872 | + | 0.853917i | 0.224595 | + | 0.144338i | ||||
\(36\) | −4.84816 | + | 5.59508i | −0.808027 | + | 0.932513i | ||||
\(37\) | 1.02666 | + | 0.301455i | 0.168782 | + | 0.0495589i | 0.365032 | − | 0.930995i | \(-0.381058\pi\) |
−0.196250 | + | 0.980554i | \(0.562876\pi\) | |||||||
\(38\) | −0.307499 | − | 2.13870i | −0.0498829 | − | 0.346943i | ||||
\(39\) | 5.48241 | + | 6.32704i | 0.877888 | + | 1.01314i | ||||
\(40\) | −0.656129 | − | 1.43672i | −0.103743 | − | 0.227166i | ||||
\(41\) | −9.85631 | + | 2.89407i | −1.53930 | + | 0.451978i | −0.937881 | − | 0.346957i | \(-0.887215\pi\) |
−0.601416 | + | 0.798936i | \(0.705397\pi\) | |||||||
\(42\) | −1.33989 | + | 2.93395i | −0.206749 | + | 0.452718i | ||||
\(43\) | −0.247191 | + | 1.71925i | −0.0376963 | + | 0.262183i | −0.999950 | − | 0.00996948i | \(-0.996827\pi\) |
0.962254 | + | 0.272153i | \(0.0877357\pi\) | |||||||
\(44\) | −3.31676 | + | 2.13155i | −0.500020 | + | 0.321343i | ||||
\(45\) | 11.6933 | 1.74313 | ||||||||
\(46\) | 4.75846 | + | 0.597548i | 0.701597 | + | 0.0881036i | ||||
\(47\) | −6.77019 | −0.987534 | −0.493767 | − | 0.869594i | \(-0.664381\pi\) | ||||
−0.493767 | + | 0.869594i | \(0.664381\pi\) | |||||||
\(48\) | 2.71340 | − | 1.74379i | 0.391645 | − | 0.251695i | ||||
\(49\) | −0.142315 | + | 0.989821i | −0.0203307 | + | 0.141403i | ||||
\(50\) | 1.04075 | − | 2.27892i | 0.147184 | − | 0.322288i | ||||
\(51\) | −21.5751 | + | 6.33503i | −3.02112 | + | 0.887082i | ||||
\(52\) | −1.07825 | − | 2.36103i | −0.149526 | − | 0.327416i | ||||
\(53\) | −2.61584 | − | 3.01884i | −0.359314 | − | 0.414670i | 0.547096 | − | 0.837070i | \(-0.315733\pi\) |
−0.906410 | + | 0.422400i | \(0.861188\pi\) | |||||||
\(54\) | 2.02125 | + | 14.0581i | 0.275057 | + | 1.91307i | ||||
\(55\) | 5.97497 | + | 1.75441i | 0.805665 | + | 0.236565i | ||||
\(56\) | 0.654861 | − | 0.755750i | 0.0875094 | − | 0.100991i | ||||
\(57\) | −5.86283 | − | 3.76781i | −0.776550 | − | 0.499059i | ||||
\(58\) | −5.13709 | − | 3.30141i | −0.674533 | − | 0.433496i | ||||
\(59\) | −0.713448 | + | 0.823363i | −0.0928830 | + | 0.107193i | −0.800288 | − | 0.599616i | \(-0.795320\pi\) |
0.707405 | + | 0.706808i | \(0.249866\pi\) | |||||||
\(60\) | −4.88805 | − | 1.43526i | −0.631044 | − | 0.185291i | ||||
\(61\) | 1.25414 | + | 8.72276i | 0.160577 | + | 1.11684i | 0.897550 | + | 0.440913i | \(0.145345\pi\) |
−0.736973 | + | 0.675922i | \(0.763746\pi\) | |||||||
\(62\) | 6.72164 | + | 7.75719i | 0.853649 | + | 0.985164i | ||||
\(63\) | 3.07546 | + | 6.73432i | 0.387472 | + | 0.848445i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −1.70304 | + | 3.72914i | −0.211236 | + | 0.462543i | ||||
\(66\) | −1.80977 | + | 12.5872i | −0.222767 | + | 1.54938i | ||||
\(67\) | −4.61008 | + | 2.96272i | −0.563210 | + | 0.361953i | −0.791056 | − | 0.611744i | \(-0.790468\pi\) |
0.227845 | + | 0.973697i | \(0.426832\pi\) | |||||||
\(68\) | 6.97148 | 0.845416 | ||||||||
\(69\) | 11.5074 | − | 10.3371i | 1.38533 | − | 1.24444i | ||||
\(70\) | −1.57945 | −0.188781 | ||||||||
\(71\) | −3.57835 | + | 2.29967i | −0.424672 | + | 0.272920i | −0.735472 | − | 0.677555i | \(-0.763039\pi\) |
0.310800 | + | 0.950475i | \(0.399403\pi\) | |||||||
\(72\) | 1.05361 | − | 7.32799i | 0.124169 | − | 0.863612i | ||||
\(73\) | 1.57632 | − | 3.45166i | 0.184494 | − | 0.403986i | −0.794674 | − | 0.607036i | \(-0.792358\pi\) |
0.979168 | + | 0.203050i | \(0.0650855\pi\) | |||||||
\(74\) | −1.02666 | + | 0.301455i | −0.119347 | + | 0.0350434i | ||||
\(75\) | −3.35686 | − | 7.35049i | −0.387616 | − | 0.848762i | ||||
\(76\) | 1.41495 | + | 1.63294i | 0.162306 | + | 0.187312i | ||||
\(77\) | 0.561096 | + | 3.90251i | 0.0639428 | + | 0.444732i | ||||
\(78\) | −8.03275 | − | 2.35863i | −0.909530 | − | 0.267062i | ||||
\(79\) | −5.51737 | + | 6.36739i | −0.620753 | + | 0.716387i | −0.975850 | − | 0.218443i | \(-0.929902\pi\) |
0.355097 | + | 0.934829i | \(0.384448\pi\) | |||||||
\(80\) | 1.32872 | + | 0.853917i | 0.148556 | + | 0.0954709i | ||||
\(81\) | 19.8532 | + | 12.7589i | 2.20591 | + | 1.41765i | ||||
\(82\) | 6.72700 | − | 7.76338i | 0.742873 | − | 0.857321i | ||||
\(83\) | 6.31081 | + | 1.85302i | 0.692702 | + | 0.203396i | 0.609088 | − | 0.793103i | \(-0.291536\pi\) |
0.0836138 | + | 0.996498i | \(0.473354\pi\) | |||||||
\(84\) | −0.459025 | − | 3.19259i | −0.0500838 | − | 0.348340i | ||||
\(85\) | −7.21076 | − | 8.32166i | −0.782117 | − | 0.902611i | ||||
\(86\) | −0.721547 | − | 1.57997i | −0.0778064 | − | 0.170372i | ||||
\(87\) | −18.8981 | + | 5.54899i | −2.02609 | + | 0.594914i | ||||
\(88\) | 1.63783 | − | 3.58635i | 0.174593 | − | 0.382306i | ||||
\(89\) | −1.88932 | + | 13.1405i | −0.200268 | + | 1.39289i | 0.603221 | + | 0.797574i | \(0.293884\pi\) |
−0.803489 | + | 0.595320i | \(0.797025\pi\) | |||||||
\(90\) | −9.83699 | + | 6.32185i | −1.03691 | + | 0.666381i | ||||
\(91\) | −2.59559 | −0.272092 | ||||||||
\(92\) | −4.32613 | + | 2.06993i | −0.451030 | + | 0.215805i | ||||
\(93\) | 33.1065 | 3.43298 | ||||||||
\(94\) | 5.69545 | − | 3.66024i | 0.587441 | − | 0.377525i | ||||
\(95\) | 0.485681 | − | 3.37798i | 0.0498298 | − | 0.346574i | ||||
\(96\) | −1.33989 | + | 2.93395i | −0.136752 | + | 0.299445i | ||||
\(97\) | 0.931081 | − | 0.273390i | 0.0945370 | − | 0.0277586i | −0.234122 | − | 0.972207i | \(-0.575222\pi\) |
0.328659 | + | 0.944449i | \(0.393403\pi\) | |||||||
\(98\) | −0.415415 | − | 0.909632i | −0.0419633 | − | 0.0918867i | ||||
\(99\) | 19.1146 | + | 22.0594i | 1.92108 | + | 2.21705i | ||||
\(100\) | 0.356545 | + | 2.47982i | 0.0356545 | + | 0.247982i | ||||
\(101\) | 4.98162 | + | 1.46274i | 0.495690 | + | 0.145548i | 0.520016 | − | 0.854156i | \(-0.325926\pi\) |
−0.0243263 | + | 0.999704i | \(0.507744\pi\) | |||||||
\(102\) | 14.7252 | − | 16.9938i | 1.45801 | − | 1.68263i | ||||
\(103\) | 0.816718 | + | 0.524873i | 0.0804736 | + | 0.0517172i | 0.580259 | − | 0.814432i | \(-0.302951\pi\) |
−0.499785 | + | 0.866149i | \(0.666588\pi\) | |||||||
\(104\) | 2.18355 | + | 1.40328i | 0.214114 | + | 0.137603i | ||||
\(105\) | −3.33613 | + | 3.85010i | −0.325573 | + | 0.375731i | ||||
\(106\) | 3.83270 | + | 1.12538i | 0.372264 | + | 0.109307i | ||||
\(107\) | 1.78786 | + | 12.4349i | 0.172839 | + | 1.20212i | 0.872849 | + | 0.487991i | \(0.162270\pi\) |
−0.700009 | + | 0.714134i | \(0.746821\pi\) | |||||||
\(108\) | −9.30077 | − | 10.7337i | −0.894967 | − | 1.03285i | ||||
\(109\) | −7.44330 | − | 16.2985i | −0.712938 | − | 1.56112i | −0.823544 | − | 0.567253i | \(-0.808006\pi\) |
0.110605 | − | 0.993864i | \(-0.464721\pi\) | |||||||
\(110\) | −5.97497 | + | 1.75441i | −0.569691 | + | 0.167276i | ||||
\(111\) | −1.43369 | + | 3.13934i | −0.136080 | + | 0.297973i | ||||
\(112\) | −0.142315 | + | 0.989821i | −0.0134475 | + | 0.0935293i | ||||
\(113\) | −2.93542 | + | 1.88648i | −0.276141 | + | 0.177465i | −0.671380 | − | 0.741113i | \(-0.734298\pi\) |
0.395239 | + | 0.918578i | \(0.370662\pi\) | |||||||
\(114\) | 6.96916 | 0.652721 | ||||||||
\(115\) | 6.94543 | + | 3.02301i | 0.647665 | + | 0.281897i | ||||
\(116\) | 6.10647 | 0.566971 | ||||||||
\(117\) | −16.1656 | + | 10.3890i | −1.49451 | + | 0.960461i | ||||
\(118\) | 0.155047 | − | 1.07838i | 0.0142732 | − | 0.0992725i | ||||
\(119\) | 2.89606 | − | 6.34148i | 0.265481 | − | 0.581323i | ||||
\(120\) | 4.88805 | − | 1.43526i | 0.446216 | − | 0.131021i | ||||
\(121\) | 1.88781 | + | 4.13373i | 0.171619 | + | 0.375793i | ||||
\(122\) | −5.77093 | − | 6.66001i | −0.522476 | − | 0.602969i | ||||
\(123\) | −4.71530 | − | 32.7956i | −0.425164 | − | 2.95708i | ||||
\(124\) | −9.84846 | − | 2.89177i | −0.884418 | − | 0.259688i | ||||
\(125\) | 7.76293 | − | 8.95889i | 0.694337 | − | 0.801308i | ||||
\(126\) | −6.22809 | − | 4.00255i | −0.554843 | − | 0.356576i | ||||
\(127\) | 1.32487 | + | 0.851443i | 0.117563 | + | 0.0755533i | 0.598101 | − | 0.801421i | \(-0.295922\pi\) |
−0.480538 | + | 0.876974i | \(0.659558\pi\) | |||||||
\(128\) | 0.654861 | − | 0.755750i | 0.0578821 | − | 0.0667995i | ||||
\(129\) | −5.37540 | − | 1.57836i | −0.473278 | − | 0.138967i | ||||
\(130\) | −0.583436 | − | 4.05788i | −0.0511707 | − | 0.355900i | ||||
\(131\) | −12.4195 | − | 14.3329i | −1.08510 | − | 1.25227i | −0.965767 | − | 0.259412i | \(-0.916471\pi\) |
−0.119329 | − | 0.992855i | \(-0.538074\pi\) | |||||||
\(132\) | −5.28270 | − | 11.5675i | −0.459800 | − | 1.00682i | ||||
\(133\) | 2.07317 | − | 0.608738i | 0.179767 | − | 0.0527843i | ||||
\(134\) | 2.27648 | − | 4.98479i | 0.196658 | − | 0.430620i | ||||
\(135\) | −3.19247 | + | 22.2041i | −0.274764 | + | 1.91103i | ||||
\(136\) | −5.86478 | + | 3.76907i | −0.502901 | + | 0.323195i | ||||
\(137\) | −12.1371 | −1.03694 | −0.518472 | − | 0.855094i | \(-0.673499\pi\) | ||||
−0.518472 | + | 0.855094i | \(0.673499\pi\) | |||||||
\(138\) | −4.09198 | + | 14.9175i | −0.348333 | + | 1.26986i | ||||
\(139\) | 15.6737 | 1.32943 | 0.664715 | − | 0.747097i | \(-0.268553\pi\) | ||||
0.664715 | + | 0.747097i | \(0.268553\pi\) | |||||||
\(140\) | 1.32872 | − | 0.853917i | 0.112297 | − | 0.0721692i | ||||
\(141\) | 3.10769 | − | 21.6145i | 0.261715 | − | 1.82027i | ||||
\(142\) | 1.76701 | − | 3.86921i | 0.148284 | − | 0.324697i | ||||
\(143\) | −9.81894 | + | 2.88310i | −0.821101 | + | 0.241097i | ||||
\(144\) | 3.07546 | + | 6.73432i | 0.256289 | + | 0.561194i | ||||
\(145\) | −6.31606 | − | 7.28912i | −0.524520 | − | 0.605328i | ||||
\(146\) | 0.540023 | + | 3.75594i | 0.0446926 | + | 0.310844i | ||||
\(147\) | −3.09477 | − | 0.908706i | −0.255252 | − | 0.0749488i | ||||
\(148\) | 0.700704 | − | 0.808655i | 0.0575975 | − | 0.0664711i | ||||
\(149\) | 8.86940 | + | 5.70001i | 0.726609 | + | 0.466963i | 0.850930 | − | 0.525279i | \(-0.176039\pi\) |
−0.124321 | + | 0.992242i | \(0.539675\pi\) | |||||||
\(150\) | 6.79794 | + | 4.36877i | 0.555050 | + | 0.356709i | ||||
\(151\) | −4.23592 | + | 4.88851i | −0.344714 | + | 0.397821i | −0.901461 | − | 0.432861i | \(-0.857504\pi\) |
0.556746 | + | 0.830682i | \(0.312049\pi\) | |||||||
\(152\) | −2.07317 | − | 0.608738i | −0.168156 | − | 0.0493752i | ||||
\(153\) | −7.34520 | − | 51.0870i | −0.593824 | − | 4.13014i | ||||
\(154\) | −2.58188 | − | 2.97965i | −0.208054 | − | 0.240107i | ||||
\(155\) | 6.73466 | + | 14.7468i | 0.540941 | + | 1.18450i | ||||
\(156\) | 8.03275 | − | 2.35863i | 0.643135 | − | 0.188841i | ||||
\(157\) | −0.158995 | + | 0.348151i | −0.0126892 | + | 0.0277855i | −0.915870 | − | 0.401474i | \(-0.868498\pi\) |
0.903181 | + | 0.429259i | \(0.141225\pi\) | |||||||
\(158\) | 1.19904 | − | 8.33950i | 0.0953905 | − | 0.663455i | ||||
\(159\) | 10.8387 | − | 6.96559i | 0.859563 | − | 0.552408i | ||||
\(160\) | −1.57945 | −0.124867 | ||||||||
\(161\) | 0.0857335 | + | 4.79507i | 0.00675675 | + | 0.377904i | ||||
\(162\) | −23.5995 | −1.85415 | ||||||||
\(163\) | −3.07643 | + | 1.97710i | −0.240965 | + | 0.154859i | −0.655550 | − | 0.755152i | \(-0.727563\pi\) |
0.414585 | + | 0.910011i | \(0.363927\pi\) | |||||||
\(164\) | −1.46192 | + | 10.1679i | −0.114157 | + | 0.793976i | ||||
\(165\) | −8.34378 | + | 18.2703i | −0.649562 | + | 1.42234i | ||||
\(166\) | −6.31081 | + | 1.85302i | −0.489814 | + | 0.143822i | ||||
\(167\) | 3.53692 | + | 7.74477i | 0.273695 | + | 0.599308i | 0.995706 | − | 0.0925734i | \(-0.0295093\pi\) |
−0.722011 | + | 0.691882i | \(0.756782\pi\) | |||||||
\(168\) | 2.11220 | + | 2.43761i | 0.162960 | + | 0.188066i | ||||
\(169\) | 0.891307 | + | 6.19917i | 0.0685621 | + | 0.476860i | ||||
\(170\) | 10.5651 | + | 3.10220i | 0.810307 | + | 0.237928i | ||||
\(171\) | 10.4754 | − | 12.0893i | 0.801074 | − | 0.924489i | ||||
\(172\) | 1.46120 | + | 0.939056i | 0.111415 | + | 0.0716023i | ||||
\(173\) | 13.1355 | + | 8.44168i | 0.998674 | + | 0.641809i | 0.934438 | − | 0.356126i | \(-0.115903\pi\) |
0.0642362 | + | 0.997935i | \(0.479539\pi\) | |||||||
\(174\) | 12.8981 | − | 14.8852i | 0.977802 | − | 1.12844i | ||||
\(175\) | 2.40384 | + | 0.705831i | 0.181713 | + | 0.0533558i | ||||
\(176\) | 0.561096 | + | 3.90251i | 0.0422942 | + | 0.294163i | ||||
\(177\) | −2.30117 | − | 2.65569i | −0.172967 | − | 0.199614i | ||||
\(178\) | −5.51491 | − | 12.0760i | −0.413360 | − | 0.905132i | ||||
\(179\) | −0.936282 | + | 0.274917i | −0.0699810 | + | 0.0205483i | −0.316536 | − | 0.948581i | \(-0.602520\pi\) |
0.246555 | + | 0.969129i | \(0.420702\pi\) | |||||||
\(180\) | 4.85755 | − | 10.6366i | 0.362061 | − | 0.792802i | ||||
\(181\) | −3.45685 | + | 24.0429i | −0.256946 | + | 1.78710i | 0.297340 | + | 0.954772i | \(0.403901\pi\) |
−0.554286 | + | 0.832326i | \(0.687009\pi\) | |||||||
\(182\) | 2.18355 | − | 1.40328i | 0.161855 | − | 0.104018i | ||||
\(183\) | −28.4239 | −2.10116 | ||||||||
\(184\) | 2.52028 | − | 4.08022i | 0.185798 | − | 0.300798i | ||||
\(185\) | −1.69002 | −0.124253 | ||||||||
\(186\) | −27.8509 | + | 17.8987i | −2.04213 | + | 1.31240i | ||||
\(187\) | 3.91167 | − | 27.2063i | 0.286050 | − | 1.98952i | ||||
\(188\) | −2.81244 | + | 6.15839i | −0.205118 | + | 0.449146i | ||||
\(189\) | −13.6274 | + | 4.00135i | −0.991244 | + | 0.291056i | ||||
\(190\) | 1.41769 | + | 3.10432i | 0.102850 | + | 0.225211i | ||||
\(191\) | 5.54057 | + | 6.39416i | 0.400901 | + | 0.462665i | 0.919925 | − | 0.392095i | \(-0.128250\pi\) |
−0.519023 | + | 0.854760i | \(0.673704\pi\) | |||||||
\(192\) | −0.459025 | − | 3.19259i | −0.0331273 | − | 0.230405i | ||||
\(193\) | −8.52827 | − | 2.50413i | −0.613879 | − | 0.180251i | −0.0400112 | − | 0.999199i | \(-0.512739\pi\) |
−0.573867 | + | 0.818948i | \(0.694558\pi\) | |||||||
\(194\) | −0.635470 | + | 0.733371i | −0.0456241 | + | 0.0526530i | ||||
\(195\) | −11.1239 | − | 7.14888i | −0.796598 | − | 0.511942i | ||||
\(196\) | 0.841254 | + | 0.540641i | 0.0600895 | + | 0.0386172i | ||||
\(197\) | 4.85624 | − | 5.60440i | 0.345993 | − | 0.399297i | −0.555905 | − | 0.831246i | \(-0.687628\pi\) |
0.901898 | + | 0.431948i | \(0.142174\pi\) | |||||||
\(198\) | −28.0064 | − | 8.22341i | −1.99033 | − | 0.584413i | ||||
\(199\) | 1.29013 | + | 8.97307i | 0.0914551 | + | 0.636084i | 0.983062 | + | 0.183274i | \(0.0586695\pi\) |
−0.891607 | + | 0.452811i | \(0.850421\pi\) | |||||||
\(200\) | −1.64064 | − | 1.89340i | −0.116011 | − | 0.133883i | ||||
\(201\) | −7.34260 | − | 16.0781i | −0.517907 | − | 1.13406i | ||||
\(202\) | −4.98162 | + | 1.46274i | −0.350506 | + | 0.102918i | ||||
\(203\) | 2.53672 | − | 5.55464i | 0.178043 | − | 0.389859i | ||||
\(204\) | −3.20009 | + | 22.2571i | −0.224051 | + | 1.55831i | ||||
\(205\) | 13.6492 | − | 8.77180i | 0.953300 | − | 0.612649i | ||||
\(206\) | −0.970834 | −0.0676412 | ||||||||
\(207\) | 19.7265 | + | 29.5210i | 1.37108 | + | 2.05185i | ||||
\(208\) | −2.59559 | −0.179972 | ||||||||
\(209\) | 7.16650 | − | 4.60563i | 0.495717 | − | 0.318578i | ||||
\(210\) | 0.725010 | − | 5.04255i | 0.0500304 | − | 0.347969i | ||||
\(211\) | 9.99072 | − | 21.8766i | 0.687790 | − | 1.50605i | −0.166384 | − | 0.986061i | \(-0.553209\pi\) |
0.854173 | − | 0.519988i | \(-0.174064\pi\) | |||||||
\(212\) | −3.83270 | + | 1.12538i | −0.263231 | + | 0.0772915i | ||||
\(213\) | −5.69934 | − | 12.4798i | −0.390513 | − | 0.855103i | ||||
\(214\) | −8.22685 | − | 9.49429i | −0.562376 | − | 0.649016i | ||||
\(215\) | −0.390427 | − | 2.71548i | −0.0266269 | − | 0.185194i | ||||
\(216\) | 13.6274 | + | 4.00135i | 0.927224 | + | 0.272258i | ||||
\(217\) | −6.72164 | + | 7.75719i | −0.456295 | + | 0.526592i | ||||
\(218\) | 15.0734 | + | 9.68706i | 1.02090 | + | 0.656090i | ||||
\(219\) | 10.2962 | + | 6.61694i | 0.695750 | + | 0.447131i | ||||
\(220\) | 4.07796 | − | 4.70622i | 0.274936 | − | 0.317293i | ||||
\(221\) | 17.3621 | + | 5.09798i | 1.16790 | + | 0.342927i | ||||
\(222\) | −0.491159 | − | 3.41609i | −0.0329645 | − | 0.229273i | ||||
\(223\) | 15.1756 | + | 17.5136i | 1.01624 | + | 1.17280i | 0.984871 | + | 0.173292i | \(0.0554403\pi\) |
0.0313661 | + | 0.999508i | \(0.490014\pi\) | |||||||
\(224\) | −0.415415 | − | 0.909632i | −0.0277561 | − | 0.0607773i | ||||
\(225\) | 17.7965 | − | 5.22552i | 1.18643 | − | 0.348368i | ||||
\(226\) | 1.44952 | − | 3.17401i | 0.0964208 | − | 0.211132i | ||||
\(227\) | 2.37743 | − | 16.5354i | 0.157795 | − | 1.09749i | −0.744889 | − | 0.667188i | \(-0.767498\pi\) |
0.902684 | − | 0.430303i | \(-0.141593\pi\) | |||||||
\(228\) | −5.86283 | + | 3.76781i | −0.388275 | + | 0.249529i | ||||
\(229\) | 1.60396 | 0.105993 | 0.0529963 | − | 0.998595i | \(-0.483123\pi\) | ||||
0.0529963 | + | 0.998595i | \(0.483123\pi\) | |||||||
\(230\) | −7.47723 | + | 1.21187i | −0.493034 | + | 0.0799082i | ||||
\(231\) | −12.7167 | −0.836696 | ||||||||
\(232\) | −5.13709 | + | 3.30141i | −0.337266 | + | 0.216748i | ||||
\(233\) | 3.11641 | − | 21.6751i | 0.204163 | − | 1.41998i | −0.587599 | − | 0.809152i | \(-0.699927\pi\) |
0.791762 | − | 0.610830i | \(-0.209164\pi\) | |||||||
\(234\) | 7.98263 | − | 17.4795i | 0.521841 | − | 1.14267i | ||||
\(235\) | 10.2601 | − | 3.01263i | 0.669293 | − | 0.196522i | ||||
\(236\) | 0.452580 | + | 0.991012i | 0.0294605 | + | 0.0645094i | ||||
\(237\) | −17.7959 | − | 20.5375i | −1.15596 | − | 1.33405i | ||||
\(238\) | 0.992145 | + | 6.90052i | 0.0643112 | + | 0.447294i | ||||
\(239\) | 8.23980 | + | 2.41942i | 0.532989 | + | 0.156500i | 0.537142 | − | 0.843492i | \(-0.319504\pi\) |
−0.00415342 | + | 0.999991i | \(0.501322\pi\) | |||||||
\(240\) | −3.33613 | + | 3.85010i | −0.215346 | + | 0.248523i | ||||
\(241\) | 16.6283 | + | 10.6864i | 1.07113 | + | 0.688371i | 0.952491 | − | 0.304567i | \(-0.0985118\pi\) |
0.118635 | + | 0.992938i | \(0.462148\pi\) | |||||||
\(242\) | −3.82299 | − | 2.45688i | −0.245751 | − | 0.157935i | ||||
\(243\) | −21.9447 | + | 25.3255i | −1.40775 | + | 1.62463i | ||||
\(244\) | 8.45549 | + | 2.48276i | 0.541307 | + | 0.158942i | ||||
\(245\) | −0.224780 | − | 1.56338i | −0.0143607 | − | 0.0998805i | ||||
\(246\) | 21.6974 | + | 25.0402i | 1.38338 | + | 1.59650i | ||||
\(247\) | 2.32976 | + | 5.10147i | 0.148239 | + | 0.324599i | ||||
\(248\) | 9.84846 | − | 2.89177i | 0.625378 | − | 0.183627i | ||||
\(249\) | −8.81277 | + | 19.2973i | −0.558487 | + | 1.22291i | ||||
\(250\) | −1.68705 | + | 11.7337i | −0.106698 | + | 0.742102i | ||||
\(251\) | −13.1238 | + | 8.43413i | −0.828364 | + | 0.532357i | −0.884758 | − | 0.466051i | \(-0.845676\pi\) |
0.0563935 | + | 0.998409i | \(0.482040\pi\) | |||||||
\(252\) | 7.40335 | 0.466367 | ||||||||
\(253\) | 5.65054 | + | 18.0442i | 0.355246 | + | 1.13443i | ||||
\(254\) | −1.57488 | −0.0988166 | ||||||||
\(255\) | 29.8776 | − | 19.2012i | 1.87101 | − | 1.20242i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 11.9499 | − | 26.1666i | 0.745414 | − | 1.63223i | −0.0290245 | − | 0.999579i | \(-0.509240\pi\) |
0.774438 | − | 0.632650i | \(-0.218033\pi\) | |||||||
\(258\) | 5.37540 | − | 1.57836i | 0.334658 | − | 0.0982644i | ||||
\(259\) | −0.444496 | − | 0.973310i | −0.0276196 | − | 0.0604786i | ||||
\(260\) | 2.68468 | + | 3.09828i | 0.166497 | + | 0.192147i | ||||
\(261\) | −6.43381 | − | 44.7482i | −0.398243 | − | 2.76984i | ||||
\(262\) | 18.1969 | + | 5.34308i | 1.12421 | + | 0.330097i | ||||
\(263\) | −7.21825 | + | 8.33031i | −0.445097 | + | 0.513669i | −0.933318 | − | 0.359051i | \(-0.883100\pi\) |
0.488221 | + | 0.872720i | \(0.337646\pi\) | |||||||
\(264\) | 10.6979 | + | 6.87515i | 0.658413 | + | 0.423136i | ||||
\(265\) | 5.30758 | + | 3.41098i | 0.326042 | + | 0.209535i | ||||
\(266\) | −1.41495 | + | 1.63294i | −0.0867564 | + | 0.100122i | ||||
\(267\) | −41.0851 | − | 12.0637i | −2.51437 | − | 0.738285i | ||||
\(268\) | 0.779886 | + | 5.42423i | 0.0476391 | + | 0.331338i | ||||
\(269\) | −3.52156 | − | 4.06409i | −0.214713 | − | 0.247792i | 0.638168 | − | 0.769897i | \(-0.279692\pi\) |
−0.852881 | + | 0.522105i | \(0.825147\pi\) | |||||||
\(270\) | −9.31878 | − | 20.4053i | −0.567123 | − | 1.24183i | ||||
\(271\) | −1.16323 | + | 0.341554i | −0.0706610 | + | 0.0207479i | −0.316872 | − | 0.948468i | \(-0.602633\pi\) |
0.246211 | + | 0.969216i | \(0.420814\pi\) | |||||||
\(272\) | 2.89606 | − | 6.34148i | 0.175599 | − | 0.384509i | ||||
\(273\) | 1.19144 | − | 8.28665i | 0.0721093 | − | 0.501531i | ||||
\(274\) | 10.2104 | − | 6.56183i | 0.616833 | − | 0.396414i | ||||
\(275\) | 9.87759 | 0.595641 | ||||||||
\(276\) | −4.62263 | − | 14.7617i | −0.278250 | − | 0.888551i | ||||
\(277\) | 12.1964 | 0.732812 | 0.366406 | − | 0.930455i | \(-0.380588\pi\) | ||||
0.366406 | + | 0.930455i | \(0.380588\pi\) | |||||||
\(278\) | −13.1856 | + | 8.47386i | −0.790819 | + | 0.508228i | ||||
\(279\) | −10.8145 | + | 75.2162i | −0.647445 | + | 4.50308i | ||||
\(280\) | −0.656129 | + | 1.43672i | −0.0392112 | + | 0.0858606i | ||||
\(281\) | −21.3968 | + | 6.28268i | −1.27643 | + | 0.374793i | −0.848585 | − | 0.529060i | \(-0.822545\pi\) |
−0.427843 | + | 0.903853i | \(0.640727\pi\) | |||||||
\(282\) | 9.07131 | + | 19.8634i | 0.540189 | + | 1.18285i | ||||
\(283\) | 20.5420 | + | 23.7067i | 1.22109 | + | 1.40922i | 0.883831 | + | 0.467807i | \(0.154956\pi\) |
0.337263 | + | 0.941410i | \(0.390499\pi\) | |||||||
\(284\) | 0.605350 | + | 4.21030i | 0.0359209 | + | 0.249835i | ||||
\(285\) | 10.5616 | + | 3.10116i | 0.625614 | + | 0.183697i | ||||
\(286\) | 6.70149 | − | 7.73394i | 0.396268 | − | 0.457317i | ||||
\(287\) | 8.64171 | + | 5.55369i | 0.510104 | + | 0.327824i | ||||
\(288\) | −6.22809 | − | 4.00255i | −0.366994 | − | 0.235853i | ||||
\(289\) | −20.6946 | + | 23.8829i | −1.21733 | + | 1.40487i | ||||
\(290\) | 9.25420 | + | 2.71728i | 0.543425 | + | 0.159564i | ||||
\(291\) | 0.445433 | + | 3.09806i | 0.0261118 | + | 0.181611i | ||||
\(292\) | −2.48491 | − | 2.86774i | −0.145418 | − | 0.167822i | ||||
\(293\) | 6.53246 | + | 14.3041i | 0.381631 | + | 0.835654i | 0.998807 | + | 0.0488297i | \(0.0155492\pi\) |
−0.617176 | + | 0.786825i | \(0.711724\pi\) | |||||||
\(294\) | 3.09477 | − | 0.908706i | 0.180491 | − | 0.0529968i | ||||
\(295\) | 0.714829 | − | 1.56526i | 0.0416190 | − | 0.0911329i | ||||
\(296\) | −0.152278 | + | 1.05911i | −0.00885095 | + | 0.0615597i | ||||
\(297\) | −47.1068 | + | 30.2737i | −2.73341 | + | 1.75666i | ||||
\(298\) | −10.5431 | −0.610744 | ||||||||
\(299\) | −12.2877 | + | 1.99152i | −0.710614 | + | 0.115172i | ||||
\(300\) | −8.08073 | −0.466541 | ||||||||
\(301\) | 1.46120 | − | 0.939056i | 0.0842221 | − | 0.0541263i | ||||
\(302\) | 0.920553 | − | 6.40259i | 0.0529719 | − | 0.368427i | ||||
\(303\) | −6.95661 | + | 15.2329i | −0.399647 | + | 0.875105i | ||||
\(304\) | 2.07317 | − | 0.608738i | 0.118905 | − | 0.0349135i | ||||
\(305\) | −5.78211 | − | 12.6611i | −0.331083 | − | 0.724970i | ||||
\(306\) | 33.7989 | + | 39.0060i | 1.93215 | + | 2.22982i | ||||
\(307\) | −2.62558 | − | 18.2613i | −0.149850 | − | 1.04223i | −0.916463 | − | 0.400119i | \(-0.868969\pi\) |
0.766613 | − | 0.642109i | \(-0.221940\pi\) | |||||||
\(308\) | 3.78293 | + | 1.11077i | 0.215553 | + | 0.0632920i | ||||
\(309\) | −2.05060 | + | 2.36652i | −0.116654 | + | 0.134626i | ||||
\(310\) | −13.6383 | − | 8.76480i | −0.774604 | − | 0.497807i | ||||
\(311\) | −17.7386 | − | 11.3999i | −1.00586 | − | 0.646428i | −0.0695423 | − | 0.997579i | \(-0.522154\pi\) |
−0.936319 | + | 0.351151i | \(0.885790\pi\) | |||||||
\(312\) | −5.48241 | + | 6.32704i | −0.310380 | + | 0.358198i | ||||
\(313\) | −9.64993 | − | 2.83348i | −0.545447 | − | 0.160158i | −0.00261102 | − | 0.999997i | \(-0.500831\pi\) |
−0.542836 | + | 0.839839i | \(0.682649\pi\) | |||||||
\(314\) | −0.0544693 | − | 0.378842i | −0.00307388 | − | 0.0213793i | ||||
\(315\) | −7.65745 | − | 8.83717i | −0.431448 | − | 0.497918i | ||||
\(316\) | 3.49998 | + | 7.66389i | 0.196889 | + | 0.431127i | ||||
\(317\) | 23.7682 | − | 6.97898i | 1.33496 | − | 0.391979i | 0.465089 | − | 0.885264i | \(-0.346022\pi\) |
0.869868 | + | 0.493285i | \(0.164204\pi\) | |||||||
\(318\) | −5.35219 | + | 11.7197i | −0.300136 | + | 0.657206i | ||||
\(319\) | 3.42631 | − | 23.8305i | 0.191837 | − | 1.33425i | ||||
\(320\) | 1.32872 | − | 0.853917i | 0.0742778 | − | 0.0477354i | ||||
\(321\) | −40.5201 | −2.26161 | ||||||||
\(322\) | −2.66453 | − | 3.98751i | −0.148489 | − | 0.222215i | ||||
\(323\) | −15.0632 | −0.838142 | ||||||||
\(324\) | 19.8532 | − | 12.7589i | 1.10296 | − | 0.708826i | ||||
\(325\) | −0.925444 | + | 6.43660i | −0.0513344 | + | 0.357038i | ||||
\(326\) | 1.51916 | − | 3.32649i | 0.0841382 | − | 0.184237i | ||||
\(327\) | 55.4513 | − | 16.2820i | 3.06646 | − | 0.900394i | ||||
\(328\) | −4.26732 | − | 9.34412i | −0.235623 | − | 0.515943i | ||||
\(329\) | 4.43353 | + | 5.11657i | 0.244429 | + | 0.282086i | ||||
\(330\) | −2.85845 | − | 19.8810i | −0.157353 | − | 1.09441i | ||||
\(331\) | −19.6507 | − | 5.76997i | −1.08010 | − | 0.317146i | −0.307181 | − | 0.951651i | \(-0.599386\pi\) |
−0.772919 | + | 0.634505i | \(0.781204\pi\) | |||||||
\(332\) | 4.30718 | − | 4.97075i | 0.236387 | − | 0.272805i | ||||
\(333\) | −6.66409 | − | 4.28275i | −0.365190 | − | 0.234693i | ||||
\(334\) | −7.16258 | − | 4.60311i | −0.391919 | − | 0.251871i | ||||
\(335\) | 5.66810 | − | 6.54133i | 0.309681 | − | 0.357391i | ||||
\(336\) | −3.09477 | − | 0.908706i | −0.168834 | − | 0.0495740i | ||||
\(337\) | 1.54039 | + | 10.7137i | 0.0839105 | + | 0.583611i | 0.987786 | + | 0.155815i | \(0.0498005\pi\) |
−0.903876 | + | 0.427795i | \(0.859290\pi\) | |||||||
\(338\) | −4.10134 | − | 4.73320i | −0.223084 | − | 0.257452i | ||||
\(339\) | −4.67532 | − | 10.2375i | −0.253929 | − | 0.556026i | ||||
\(340\) | −10.5651 | + | 3.10220i | −0.572973 | + | 0.168240i | ||||
\(341\) | −16.8111 | + | 36.8111i | −0.910371 | + | 1.99343i | ||||
\(342\) | −2.27652 | + | 15.8336i | −0.123100 | + | 0.856181i | ||||
\(343\) | 0.841254 | − | 0.540641i | 0.0454234 | − | 0.0291919i | ||||
\(344\) | −1.73693 | −0.0936491 | ||||||||
\(345\) | −12.8394 | + | 20.7863i | −0.691248 | + | 1.11910i | ||||
\(346\) | −15.6142 | −0.839425 | ||||||||
\(347\) | −6.26807 | + | 4.02824i | −0.336488 | + | 0.216247i | −0.697962 | − | 0.716134i | \(-0.745910\pi\) |
0.361475 | + | 0.932382i | \(0.382273\pi\) | |||||||
\(348\) | −2.80302 | + | 19.4955i | −0.150258 | + | 1.04507i | ||||
\(349\) | 0.0802023 | − | 0.175619i | 0.00429313 | − | 0.00940065i | −0.907473 | − | 0.420110i | \(-0.861992\pi\) |
0.911766 | + | 0.410709i | \(0.134719\pi\) | |||||||
\(350\) | −2.40384 | + | 0.705831i | −0.128491 | + | 0.0377283i | ||||
\(351\) | −15.3140 | − | 33.5329i | −0.817399 | − | 1.78985i | ||||
\(352\) | −2.58188 | − | 2.97965i | −0.137615 | − | 0.158816i | ||||
\(353\) | 2.82815 | + | 19.6702i | 0.150527 | + | 1.04694i | 0.915339 | + | 0.402685i | \(0.131923\pi\) |
−0.764812 | + | 0.644254i | \(0.777168\pi\) | |||||||
\(354\) | 3.37164 | + | 0.990004i | 0.179201 | + | 0.0526181i | ||||
\(355\) | 4.39959 | − | 5.07740i | 0.233506 | − | 0.269480i | ||||
\(356\) | 11.1682 | + | 7.17737i | 0.591913 | + | 0.380400i | ||||
\(357\) | 18.9164 | + | 12.1568i | 1.00116 | + | 0.643408i | ||||
\(358\) | 0.639019 | − | 0.737467i | 0.0337732 | − | 0.0389764i | ||||
\(359\) | −21.9575 | − | 6.44732i | −1.15887 | − | 0.340276i | −0.354880 | − | 0.934912i | \(-0.615478\pi\) |
−0.803995 | + | 0.594636i | \(0.797296\pi\) | |||||||
\(360\) | 1.66412 | + | 11.5742i | 0.0877070 | + | 0.610016i | ||||
\(361\) | 9.38507 | + | 10.8309i | 0.493951 | + | 0.570050i | ||||
\(362\) | −10.0905 | − | 22.0951i | −0.530345 | − | 1.16129i | ||||
\(363\) | −14.0639 | + | 4.12952i | −0.738161 | + | 0.216744i | ||||
\(364\) | −1.07825 | + | 2.36103i | −0.0565155 | + | 0.123752i | ||||
\(365\) | −0.852941 | + | 5.93234i | −0.0446450 | + | 0.310513i | ||||
\(366\) | 23.9117 | − | 15.3671i | 1.24988 | − | 0.803252i | ||||
\(367\) | −9.36285 | −0.488737 | −0.244368 | − | 0.969682i | \(-0.578581\pi\) | ||||
−0.244368 | + | 0.969682i | \(0.578581\pi\) | |||||||
\(368\) | 0.0857335 | + | 4.79507i | 0.00446917 | + | 0.249960i | ||||
\(369\) | 76.0503 | 3.95902 | ||||||||
\(370\) | 1.42174 | − | 0.913696i | 0.0739126 | − | 0.0475008i | ||||
\(371\) | −0.568477 | + | 3.95384i | −0.0295139 | + | 0.205273i | ||||
\(372\) | 13.7529 | − | 30.1147i | 0.713056 | − | 1.56138i | ||||
\(373\) | −19.6058 | + | 5.75679i | −1.01515 | + | 0.298075i | −0.746659 | − | 0.665206i | \(-0.768344\pi\) |
−0.268492 | + | 0.963282i | \(0.586525\pi\) | |||||||
\(374\) | 11.4181 | + | 25.0022i | 0.590416 | + | 1.29283i | ||||
\(375\) | 25.0387 | + | 28.8962i | 1.29299 | + | 1.49219i | ||||
\(376\) | −0.963499 | − | 6.70128i | −0.0496887 | − | 0.345592i | ||||
\(377\) | 15.2078 | + | 4.46543i | 0.783244 | + | 0.229981i | ||||
\(378\) | 9.30077 | − | 10.7337i | 0.478380 | − | 0.552080i | ||||
\(379\) | −10.5603 | − | 6.78672i | −0.542448 | − | 0.348610i | 0.240548 | − | 0.970637i | \(-0.422673\pi\) |
−0.782996 | + | 0.622027i | \(0.786309\pi\) | |||||||
\(380\) | −2.87096 | − | 1.84506i | −0.147277 | − | 0.0946494i | ||||
\(381\) | −3.32646 | + | 3.83894i | −0.170420 | + | 0.196675i | ||||
\(382\) | −8.11796 | − | 2.38365i | −0.415351 | − | 0.121958i | ||||
\(383\) | 1.18669 | + | 8.25361i | 0.0606370 | + | 0.421740i | 0.997417 | + | 0.0718220i | \(0.0228813\pi\) |
−0.936780 | + | 0.349918i | \(0.886210\pi\) | |||||||
\(384\) | 2.11220 | + | 2.43761i | 0.107788 | + | 0.124394i | ||||
\(385\) | −2.58688 | − | 5.66447i | −0.131840 | − | 0.288688i | ||||
\(386\) | 8.52827 | − | 2.50413i | 0.434078 | − | 0.127457i | ||||
\(387\) | 5.34187 | − | 11.6971i | 0.271542 | − | 0.594595i | ||||
\(388\) | 0.138101 | − | 0.960512i | 0.00701100 | − | 0.0487626i | ||||
\(389\) | 20.3025 | − | 13.0476i | 1.02938 | − | 0.661542i | 0.0870415 | − | 0.996205i | \(-0.472259\pi\) |
0.942338 | + | 0.334663i | \(0.108622\pi\) | |||||||
\(390\) | 13.2230 | 0.669572 | ||||||||
\(391\) | 8.84448 | − | 32.2430i | 0.447284 | − | 1.63060i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 51.4598 | − | 33.0712i | 2.59580 | − | 1.66822i | ||||
\(394\) | −1.05536 | + | 7.34021i | −0.0531684 | + | 0.369794i | ||||
\(395\) | 5.52806 | − | 12.1048i | 0.278147 | − | 0.609056i | ||||
\(396\) | 28.0064 | − | 8.22341i | 1.40737 | − | 0.413242i | ||||
\(397\) | 5.45971 | + | 11.9551i | 0.274015 | + | 0.600010i | 0.995744 | − | 0.0921668i | \(-0.0293793\pi\) |
−0.721728 | + | 0.692176i | \(0.756652\pi\) | |||||||
\(398\) | −5.93654 | − | 6.85113i | −0.297572 | − | 0.343416i | ||||
\(399\) | 0.991814 | + | 6.89822i | 0.0496528 | + | 0.345343i | ||||
\(400\) | 2.40384 | + | 0.705831i | 0.120192 | + | 0.0352916i | ||||
\(401\) | 16.1523 | − | 18.6407i | 0.806606 | − | 0.930873i | −0.192118 | − | 0.981372i | \(-0.561536\pi\) |
0.998724 | + | 0.0504991i | \(0.0160812\pi\) | |||||||
\(402\) | 14.8694 | + | 9.55601i | 0.741620 | + | 0.476610i | ||||
\(403\) | −22.4124 | − | 14.4036i | −1.11644 | − | 0.717494i | ||||
\(404\) | 3.39999 | − | 3.92380i | 0.169156 | − | 0.195216i | ||||
\(405\) | −35.7645 | − | 10.5014i | −1.77715 | − | 0.521819i | ||||
\(406\) | 0.869041 | + | 6.04431i | 0.0431298 | + | 0.299974i | ||||
\(407\) | −2.76262 | − | 3.18824i | −0.136938 | − | 0.158035i | ||||
\(408\) | −9.34101 | − | 20.4540i | −0.462449 | − | 1.01262i | ||||
\(409\) | −22.4841 | + | 6.60191i | −1.11177 | + | 0.326444i | −0.785517 | − | 0.618840i | \(-0.787603\pi\) |
−0.326248 | + | 0.945284i | \(0.605785\pi\) | |||||||
\(410\) | −6.74003 | + | 14.7586i | −0.332866 | + | 0.728876i | ||||
\(411\) | 5.57125 | − | 38.7489i | 0.274810 | − | 1.91134i | ||||
\(412\) | 0.816718 | − | 0.524873i | 0.0402368 | − | 0.0258586i | ||||
\(413\) | 1.08946 | 0.0536091 | ||||||||
\(414\) | −32.5552 | − | 14.1697i | −1.60000 | − | 0.696402i | ||||
\(415\) | −10.3884 | −0.509949 | ||||||||
\(416\) | 2.18355 | − | 1.40328i | 0.107057 | − | 0.0688015i | ||||
\(417\) | −7.19464 | + | 50.0399i | −0.352323 | + | 2.45046i | ||||
\(418\) | −3.53885 | + | 7.74901i | −0.173091 | + | 0.379016i | ||||
\(419\) | −12.7494 | + | 3.74356i | −0.622849 | + | 0.182885i | −0.577904 | − | 0.816105i | \(-0.696129\pi\) |
−0.0449446 | + | 0.998989i | \(0.514311\pi\) | |||||||
\(420\) | 2.11629 | + | 4.63404i | 0.103265 | + | 0.226118i | ||||
\(421\) | −4.61323 | − | 5.32395i | −0.224835 | − | 0.259473i | 0.632113 | − | 0.774876i | \(-0.282188\pi\) |
−0.856948 | + | 0.515403i | \(0.827642\pi\) | |||||||
\(422\) | 3.42267 | + | 23.8052i | 0.166613 | + | 1.15882i | ||||
\(423\) | 48.0918 | + | 14.1210i | 2.33830 | + | 0.686588i | ||||
\(424\) | 2.61584 | − | 3.01884i | 0.127037 | − | 0.146608i | ||||
\(425\) | −14.6932 | − | 9.44274i | −0.712724 | − | 0.458040i | ||||
\(426\) | 11.5417 | + | 7.41740i | 0.559197 | + | 0.359374i | ||||
\(427\) | 5.77093 | − | 6.66001i | 0.279275 | − | 0.322301i | ||||
\(428\) | 12.0539 | + | 3.53933i | 0.582645 | + | 0.171080i | ||||
\(429\) | −4.69742 | − | 32.6713i | −0.226794 | − | 1.57738i | ||||
\(430\) | 1.79655 | + | 2.07333i | 0.0866372 | + | 0.0999846i | ||||
\(431\) | −17.0855 | − | 37.4121i | −0.822982 | − | 1.80208i | −0.536225 | − | 0.844075i | \(-0.680150\pi\) |
−0.286757 | − | 0.958003i | \(-0.592577\pi\) | |||||||
\(432\) | −13.6274 | + | 4.00135i | −0.655646 | + | 0.192515i | ||||
\(433\) | 0.722146 | − | 1.58128i | 0.0347041 | − | 0.0759915i | −0.891486 | − | 0.453048i | \(-0.850337\pi\) |
0.926190 | + | 0.377057i | \(0.123064\pi\) | |||||||
\(434\) | 1.46075 | − | 10.1598i | 0.0701184 | − | 0.487684i | ||||
\(435\) | 26.1704 | − | 16.8187i | 1.25478 | − | 0.806395i | ||||
\(436\) | −17.9177 | −0.858104 | ||||||||
\(437\) | 9.34745 | − | 4.47248i | 0.447149 | − | 0.213948i | ||||
\(438\) | −12.2391 | −0.584805 | ||||||||
\(439\) | 4.60112 | − | 2.95696i | 0.219599 | − | 0.141128i | −0.426216 | − | 0.904621i | \(-0.640154\pi\) |
0.645816 | + | 0.763493i | \(0.276517\pi\) | |||||||
\(440\) | −0.886225 | + | 6.16383i | −0.0422491 | + | 0.293849i | ||||
\(441\) | 3.07546 | − | 6.73432i | 0.146451 | − | 0.320682i | ||||
\(442\) | −17.3621 | + | 5.09798i | −0.825832 | + | 0.242486i | ||||
\(443\) | −14.6971 | − | 32.1821i | −0.698278 | − | 1.52902i | −0.842047 | − | 0.539405i | \(-0.818649\pi\) |
0.143768 | − | 0.989611i | \(-0.454078\pi\) | |||||||
\(444\) | 2.26007 | + | 2.60826i | 0.107258 | + | 0.123782i | ||||
\(445\) | −2.98410 | − | 20.7549i | −0.141460 | − | 0.983876i | ||||
\(446\) | −22.2352 | − | 6.52883i | −1.05287 | − | 0.309149i | ||||
\(447\) | −22.2691 | + | 25.6999i | −1.05329 | + | 1.21556i | ||||
\(448\) | 0.841254 | + | 0.540641i | 0.0397455 | + | 0.0255429i | ||||
\(449\) | −17.6668 | − | 11.3538i | −0.833750 | − | 0.535818i | 0.0527176 | − | 0.998609i | \(-0.483212\pi\) |
−0.886467 | + | 0.462791i | \(0.846848\pi\) | |||||||
\(450\) | −12.1462 | + | 14.0175i | −0.572578 | + | 0.660791i | ||||
\(451\) | 38.8599 | + | 11.4103i | 1.82984 | + | 0.537289i | ||||
\(452\) | 0.496584 | + | 3.45382i | 0.0233574 | + | 0.162454i | ||||
\(453\) | −13.6626 | − | 15.7675i | −0.641926 | − | 0.740822i | ||||
\(454\) | 6.93968 | + | 15.1958i | 0.325695 | + | 0.713173i | ||||
\(455\) | 3.93355 | − | 1.15499i | 0.184408 | − | 0.0541470i | ||||
\(456\) | 2.89509 | − | 6.33937i | 0.135575 | − | 0.296868i | ||||
\(457\) | −1.45351 | + | 10.1094i | −0.0679921 | + | 0.472896i | 0.927169 | + | 0.374643i | \(0.122235\pi\) |
−0.995161 | + | 0.0982531i | \(0.968675\pi\) | |||||||
\(458\) | −1.34934 | + | 0.867166i | −0.0630504 | + | 0.0405200i | ||||
\(459\) | 99.0136 | 4.62156 | ||||||||
\(460\) | 5.63506 | − | 5.06198i | 0.262736 | − | 0.236016i | ||||
\(461\) | −36.2066 | −1.68631 | −0.843154 | − | 0.537672i | \(-0.819304\pi\) | ||||
−0.843154 | + | 0.537672i | \(0.819304\pi\) | |||||||
\(462\) | 10.6979 | − | 6.87515i | 0.497713 | − | 0.319861i | ||||
\(463\) | 1.32392 | − | 9.20806i | 0.0615277 | − | 0.427935i | −0.935655 | − | 0.352917i | \(-0.885190\pi\) |
0.997182 | − | 0.0750173i | \(-0.0239012\pi\) | |||||||
\(464\) | 2.53672 | − | 5.55464i | 0.117764 | − | 0.257868i | ||||
\(465\) | −50.1720 | + | 14.7318i | −2.32667 | + | 0.683173i | ||||
\(466\) | 9.09675 | + | 19.9191i | 0.421399 | + | 0.922735i | ||||
\(467\) | 3.54146 | + | 4.08706i | 0.163879 | + | 0.189127i | 0.831750 | − | 0.555151i | \(-0.187339\pi\) |
−0.667870 | + | 0.744278i | \(0.732794\pi\) | |||||||
\(468\) | 2.73473 | + | 19.0205i | 0.126413 | + | 0.879221i | ||||
\(469\) | 5.25803 | + | 1.54390i | 0.242793 | + | 0.0712905i | ||||
\(470\) | −7.00256 | + | 8.08139i | −0.323004 | + | 0.372767i | ||||
\(471\) | −1.03852 | − | 0.667417i | −0.0478525 | − | 0.0307529i | ||||
\(472\) | −0.916516 | − | 0.589009i | −0.0421861 | − | 0.0271113i | ||||
\(473\) | 4.48455 | − | 5.17544i | 0.206200 | − | 0.237967i | ||||
\(474\) | 26.0742 | + | 7.65609i | 1.19763 | + | 0.351656i | ||||
\(475\) | −0.770385 | − | 5.35814i | −0.0353477 | − | 0.245849i | ||||
\(476\) | −4.56535 | − | 5.26869i | −0.209252 | − | 0.241490i | ||||
\(477\) | 12.2849 | + | 26.9003i | 0.562489 | + | 1.23168i | ||||
\(478\) | −8.23980 | + | 2.41942i | −0.376880 | + | 0.110662i | ||||
\(479\) | 0.291423 | − | 0.638128i | 0.0133155 | − | 0.0291568i | −0.902857 | − | 0.429940i | \(-0.858535\pi\) |
0.916173 | + | 0.400783i | \(0.131262\pi\) | |||||||
\(480\) | 0.725010 | − | 5.04255i | 0.0330920 | − | 0.230160i | ||||
\(481\) | 2.33641 | − | 1.50152i | 0.106531 | − | 0.0684633i | ||||
\(482\) | −19.7662 | −0.900324 | ||||||||
\(483\) | −15.3480 | − | 1.92734i | −0.698360 | − | 0.0876972i | ||||
\(484\) | 4.54439 | 0.206563 | ||||||||
\(485\) | −1.28938 | + | 0.828632i | −0.0585476 | + | 0.0376262i | ||||
\(486\) | 4.76904 | − | 33.1694i | 0.216328 | − | 1.50459i | ||||
\(487\) | −3.32707 | + | 7.28526i | −0.150764 | + | 0.330127i | −0.969912 | − | 0.243455i | \(-0.921719\pi\) |
0.819148 | + | 0.573582i | \(0.194446\pi\) | |||||||
\(488\) | −8.45549 | + | 2.48276i | −0.382762 | + | 0.112389i | ||||
\(489\) | −4.89992 | − | 10.7293i | −0.221582 | − | 0.485197i | ||||
\(490\) | 1.03432 | + | 1.19367i | 0.0467259 | + | 0.0539246i | ||||
\(491\) | 1.76401 | + | 12.2690i | 0.0796088 | + | 0.553691i | 0.990122 | + | 0.140211i | \(0.0447780\pi\) |
−0.910513 | + | 0.413481i | \(0.864313\pi\) | |||||||
\(492\) | −31.7908 | − | 9.33461i | −1.43324 | − | 0.420837i | ||||
\(493\) | −27.8782 | + | 32.1731i | −1.25557 | + | 1.44900i | ||||
\(494\) | −4.71798 | − | 3.03206i | −0.212272 | − | 0.136419i | ||||
\(495\) | −38.7837 | − | 24.9248i | −1.74320 | − | 1.12028i | ||||
\(496\) | −6.72164 | + | 7.75719i | −0.301811 | + | 0.348308i | ||||
\(497\) | 4.08129 | + | 1.19838i | 0.183071 | + | 0.0537545i | ||||
\(498\) | −3.01912 | − | 20.9984i | −0.135290 | − | 0.940963i | ||||
\(499\) | 25.0955 | + | 28.9618i | 1.12343 | + | 1.29651i | 0.950205 | + | 0.311626i | \(0.100874\pi\) |
0.173226 | + | 0.984882i | \(0.444581\pi\) | |||||||
\(500\) | −4.92446 | − | 10.7831i | −0.220229 | − | 0.482233i | ||||
\(501\) | −26.3494 | + | 7.73689i | −1.17721 | + | 0.345659i | ||||
\(502\) | 6.48057 | − | 14.1905i | 0.289242 | − | 0.633352i | ||||
\(503\) | 3.21208 | − | 22.3405i | 0.143219 | − | 0.996113i | −0.783777 | − | 0.621043i | \(-0.786709\pi\) |
0.926996 | − | 0.375071i | \(-0.122382\pi\) | |||||||
\(504\) | −6.22809 | + | 4.00255i | −0.277421 | + | 0.178288i | ||||
\(505\) | −8.20042 | −0.364914 | ||||||||
\(506\) | −14.5090 | − | 12.1248i | −0.645002 | − | 0.539014i | ||||
\(507\) | −20.2006 | −0.897139 | ||||||||
\(508\) | 1.32487 | − | 0.851443i | 0.0587817 | − | 0.0377767i | ||||
\(509\) | −2.30942 | + | 16.0624i | −0.102363 | + | 0.711952i | 0.872413 | + | 0.488769i | \(0.162554\pi\) |
−0.974777 | + | 0.223183i | \(0.928355\pi\) | |||||||
\(510\) | −14.7537 | + | 32.3061i | −0.653305 | + | 1.43054i | ||||
\(511\) | −3.64086 | + | 1.06905i | −0.161062 | + | 0.0472921i | ||||
\(512\) | −0.415415 | − | 0.909632i | −0.0183589 | − | 0.0402004i | ||||
\(513\) | 20.0961 | + | 23.1922i | 0.887265 | + | 1.02396i | ||||
\(514\) | 4.09385 | + | 28.4734i | 0.180572 | + | 1.25591i | ||||
\(515\) | −1.47127 | − | 0.432005i | −0.0648321 | − | 0.0190364i | ||||
\(516\) | −3.66875 | + | 4.23396i | −0.161508 | + | 0.186390i | ||||
\(517\) | 22.4551 | + | 14.4310i | 0.987574 | + | 0.634675i | ||||
\(518\) | 0.900145 | + | 0.578488i | 0.0395501 | + | 0.0254173i | ||||
\(519\) | −32.9804 | + | 38.0614i | −1.44768 | + | 1.67071i | ||||
\(520\) | −3.93355 | − | 1.15499i | −0.172498 | − | 0.0506499i | ||||
\(521\) | −3.49150 | − | 24.2839i | −0.152966 | − | 1.06390i | −0.911214 | − | 0.411933i | \(-0.864854\pi\) |
0.758248 | − | 0.651966i | \(-0.226055\pi\) | |||||||
\(522\) | 29.6051 | + | 34.1662i | 1.29578 | + | 1.49541i | ||||
\(523\) | 7.20482 | + | 15.7764i | 0.315045 | + | 0.689852i | 0.999221 | − | 0.0394647i | \(-0.0125653\pi\) |
−0.684176 | + | 0.729317i | \(0.739838\pi\) | |||||||
\(524\) | −18.1969 | + | 5.34308i | −0.794934 | + | 0.233414i | ||||
\(525\) | −3.35686 | + | 7.35049i | −0.146505 | + | 0.320802i | ||||
\(526\) | 1.56868 | − | 10.9104i | 0.0683975 | − | 0.475715i | ||||
\(527\) | 60.1975 | − | 38.6866i | 2.62224 | − | 1.68521i | ||||
\(528\) | −12.7167 | −0.553422 | ||||||||
\(529\) | 4.08498 | + | 22.6343i | 0.177608 | + | 0.984101i | ||||
\(530\) | −6.30913 | −0.274051 | ||||||||
\(531\) | 6.78529 | − | 4.36064i | 0.294456 | − | 0.189236i | ||||
\(532\) | 0.307499 | − | 2.13870i | 0.0133318 | − | 0.0927245i | ||||
\(533\) | −11.0762 | + | 24.2535i | −0.479763 | + | 1.05054i | ||||
\(534\) | 41.0851 | − | 12.0637i | 1.77793 | − | 0.522047i | ||||
\(535\) | −8.24278 | − | 18.0492i | −0.356366 | − | 0.780334i | ||||
\(536\) | −3.58864 | − | 4.14151i | −0.155006 | − | 0.178886i | ||||
\(537\) | −0.447921 | − | 3.11536i | −0.0193292 | − | 0.134438i | ||||
\(538\) | 5.15974 | + | 1.51504i | 0.222452 | + | 0.0653178i | ||||
\(539\) | 2.58188 | − | 2.97965i | 0.111209 | − | 0.128342i | ||||
\(540\) | 18.8714 | + | 12.1279i | 0.812095 | + | 0.521902i | ||||
\(541\) | −16.3505 | − | 10.5079i | −0.702965 | − | 0.451768i | 0.139709 | − | 0.990193i | \(-0.455383\pi\) |
−0.842674 | + | 0.538425i | \(0.819020\pi\) | |||||||
\(542\) | 0.793911 | − | 0.916222i | 0.0341014 | − | 0.0393551i | ||||
\(543\) | −75.1725 | − | 22.0726i | −3.22596 | − | 0.947228i | ||||
\(544\) | 0.992145 | + | 6.90052i | 0.0425379 | + | 0.295857i | ||||
\(545\) | 18.5327 | + | 21.3879i | 0.793854 | + | 0.916157i | ||||
\(546\) | 3.47780 | + | 7.61532i | 0.148836 | + | 0.325906i | ||||
\(547\) | −36.8392 | + | 10.8170i | −1.57513 | + | 0.462500i | −0.948490 | − | 0.316809i | \(-0.897389\pi\) |
−0.626641 | + | 0.779308i | \(0.715571\pi\) | |||||||
\(548\) | −5.04195 | + | 11.0403i | −0.215381 | + | 0.471619i | ||||
\(549\) | 9.28486 | − | 64.5776i | 0.396268 | − | 2.75611i | ||||
\(550\) | −8.30956 | + | 5.34023i | −0.354321 | + | 0.227708i | ||||
\(551\) | −13.1942 | −0.562092 | ||||||||
\(552\) | 11.8696 | + | 9.91916i | 0.505203 | + | 0.422188i | ||||
\(553\) | 8.42526 | 0.358278 | ||||||||
\(554\) | −10.2603 | + | 6.59388i | −0.435918 | + | 0.280147i | ||||
\(555\) | 0.775764 | − | 5.39555i | 0.0329293 | − | 0.229029i | ||||
\(556\) | 6.51111 | − | 14.2573i | 0.276132 | − | 0.604646i | ||||
\(557\) | 22.8458 | − | 6.70813i | 0.968008 | − | 0.284233i | 0.240742 | − | 0.970589i | \(-0.422609\pi\) |
0.727265 | + | 0.686356i | \(0.240791\pi\) | |||||||
\(558\) | −31.5673 | − | 69.1226i | −1.33635 | − | 2.92620i | ||||
\(559\) | 2.95235 | + | 3.40719i | 0.124871 | + | 0.144109i | ||||
\(560\) | −0.224780 | − | 1.56338i | −0.00949868 | − | 0.0660648i | ||||
\(561\) | 85.0629 | + | 24.9767i | 3.59136 | + | 1.05452i | ||||
\(562\) | 14.6035 | − | 16.8533i | 0.616011 | − | 0.710915i | ||||
\(563\) | −2.82245 | − | 1.81388i | −0.118952 | − | 0.0764460i | 0.479812 | − | 0.877371i | \(-0.340705\pi\) |
−0.598764 | + | 0.800925i | \(0.704341\pi\) | |||||||
\(564\) | −18.3702 | − | 11.8058i | −0.773526 | − | 0.497115i | ||||
\(565\) | 3.60910 | − | 4.16512i | 0.151836 | − | 0.175228i | ||||
\(566\) | −30.0978 | − | 8.83752i | −1.26511 | − | 0.371469i | ||||
\(567\) | −3.35856 | − | 23.3593i | −0.141046 | − | 0.980999i | ||||
\(568\) | −2.78551 | − | 3.21465i | −0.116877 | − | 0.134884i | ||||
\(569\) | −12.3416 | − | 27.0244i | −0.517389 | − | 1.13292i | −0.970419 | − | 0.241428i | \(-0.922384\pi\) |
0.453030 | − | 0.891495i | \(-0.350343\pi\) | |||||||
\(570\) | −10.5616 | + | 3.10116i | −0.442376 | + | 0.129893i | ||||
\(571\) | −9.45896 | + | 20.7122i | −0.395845 | + | 0.866780i | 0.601830 | + | 0.798624i | \(0.294439\pi\) |
−0.997675 | + | 0.0681552i | \(0.978289\pi\) | |||||||
\(572\) | −1.45637 | + | 10.1293i | −0.0608941 | + | 0.423527i | ||||
\(573\) | −22.9572 | + | 14.7537i | −0.959051 | + | 0.616344i | ||||
\(574\) | −10.2724 | −0.428762 | ||||||||
\(575\) | 11.9215 | + | 1.49705i | 0.497160 | + | 0.0624314i | ||||
\(576\) | 7.40335 | 0.308473 | ||||||||
\(577\) | −7.47680 | + | 4.80505i | −0.311263 | + | 0.200037i | −0.686940 | − | 0.726714i | \(-0.741047\pi\) |
0.375677 | + | 0.926751i | \(0.377410\pi\) | |||||||
\(578\) | 4.49737 | − | 31.2799i | 0.187066 | − | 1.30107i | ||||
\(579\) | 11.9094 | − | 26.0778i | 0.494936 | − | 1.08376i | ||||
\(580\) | −9.25420 | + | 2.71728i | −0.384260 | + | 0.112829i | ||||
\(581\) | −2.73228 | − | 5.98287i | −0.113354 | − | 0.248211i | ||||
\(582\) | −2.04966 | − | 2.36543i | −0.0849610 | − | 0.0980503i | ||||
\(583\) | 2.24130 | + | 15.5886i | 0.0928251 | + | 0.645613i | ||||
\(584\) | 3.64086 | + | 1.06905i | 0.150660 | + | 0.0442377i | ||||
\(585\) | 19.8756 | − | 22.9377i | 0.821755 | − | 0.948355i | ||||
\(586\) | −13.2288 | − | 8.50166i | −0.546478 | − | 0.351200i | ||||
\(587\) | 3.06619 | + | 1.97052i | 0.126555 | + | 0.0813321i | 0.602387 | − | 0.798204i | \(-0.294216\pi\) |
−0.475832 | + | 0.879536i | \(0.657853\pi\) | |||||||
\(588\) | −2.11220 | + | 2.43761i | −0.0871058 | + | 0.100525i | ||||
\(589\) | 21.2795 | + | 6.24823i | 0.876807 | + | 0.257454i | ||||
\(590\) | 0.244890 | + | 1.70325i | 0.0100819 | + | 0.0701215i | ||||
\(591\) | 15.6634 | + | 18.0766i | 0.644308 | + | 0.743571i | ||||
\(592\) | −0.444496 | − | 0.973310i | −0.0182687 | − | 0.0400028i | ||||
\(593\) | 10.0590 | − | 2.95359i | 0.413074 | − | 0.121289i | −0.0685913 | − | 0.997645i | \(-0.521850\pi\) |
0.481665 | + | 0.876355i | \(0.340032\pi\) | |||||||
\(594\) | 23.2616 | − | 50.9357i | 0.954433 | − | 2.08992i | ||||
\(595\) | −1.56705 | + | 10.8991i | −0.0642427 | + | 0.446818i | ||||
\(596\) | 8.86940 | − | 5.70001i | 0.363305 | − | 0.233482i | ||||
\(597\) | −29.2396 | −1.19670 | ||||||||
\(598\) | 9.26034 | − | 8.31858i | 0.378684 | − | 0.340172i | ||||
\(599\) | −33.3206 | −1.36144 | −0.680721 | − | 0.732543i | \(-0.738333\pi\) | ||||
−0.680721 | + | 0.732543i | \(0.738333\pi\) | |||||||
\(600\) | 6.79794 | − | 4.36877i | 0.277525 | − | 0.178354i | ||||
\(601\) | 2.60355 | − | 18.1081i | 0.106201 | − | 0.738644i | −0.865239 | − | 0.501359i | \(-0.832833\pi\) |
0.971440 | − | 0.237285i | \(-0.0762575\pi\) | |||||||
\(602\) | −0.721547 | + | 1.57997i | −0.0294081 | + | 0.0643947i | ||||
\(603\) | 38.9270 | − | 11.4300i | 1.58523 | − | 0.465466i | ||||
\(604\) | 2.68708 | + | 5.88389i | 0.109336 | + | 0.239412i | ||||
\(605\) | −4.70037 | − | 5.42452i | −0.191097 | − | 0.220538i | ||||
\(606\) | −2.38323 | − | 16.5757i | −0.0968121 | − | 0.673343i | ||||
\(607\) | −4.22590 | − | 1.24084i | −0.171524 | − | 0.0503640i | 0.194843 | − | 0.980834i | \(-0.437580\pi\) |
−0.366367 | + | 0.930470i | \(0.619398\pi\) | |||||||
\(608\) | −1.41495 | + | 1.63294i | −0.0573840 | + | 0.0662247i | ||||
\(609\) | 16.5693 | + | 10.6484i | 0.671421 | + | 0.431496i | ||||
\(610\) | 11.7093 | + | 7.52511i | 0.474096 | + | 0.304683i | ||||
\(611\) | −11.5076 | + | 13.2805i | −0.465549 | + | 0.537272i | ||||
\(612\) | −49.5217 | − | 14.5409i | −2.00179 | − | 0.587780i | ||||
\(613\) | 4.34516 | + | 30.2213i | 0.175499 | + | 1.22062i | 0.867022 | + | 0.498270i | \(0.166031\pi\) |
−0.691523 | + | 0.722355i | \(0.743060\pi\) | |||||||
\(614\) | 12.0816 | + | 13.9429i | 0.487573 | + | 0.562690i | ||||
\(615\) | 21.7394 | + | 47.6027i | 0.876619 | + | 1.91953i | ||||
\(616\) | −3.78293 | + | 1.11077i | −0.152419 | + | 0.0447542i | ||||
\(617\) | 17.9612 | − | 39.3296i | 0.723092 | − | 1.58335i | −0.0864283 | − | 0.996258i | \(-0.527545\pi\) |
0.809520 | − | 0.587092i | \(-0.199727\pi\) | |||||||
\(618\) | 0.445638 | − | 3.09948i | 0.0179262 | − | 0.124679i | ||||
\(619\) | −18.4821 | + | 11.8777i | −0.742858 | + | 0.477406i | −0.856520 | − | 0.516114i | \(-0.827378\pi\) |
0.113662 | + | 0.993519i | \(0.463742\pi\) | |||||||
\(620\) | 16.2119 | 0.651085 | ||||||||
\(621\) | −61.4426 | + | 29.3985i | −2.46560 | + | 1.17972i | ||||
\(622\) | 21.0859 | 0.845466 | ||||||||
\(623\) | 11.1682 | − | 7.17737i | 0.447445 | − | 0.287555i | ||||
\(624\) | 1.19144 | − | 8.28665i | 0.0476958 | − | 0.331732i | ||||
\(625\) | −2.57421 | + | 5.63674i | −0.102969 | + | 0.225470i | ||||
\(626\) | 9.64993 | − | 2.83348i | 0.385689 | − | 0.113248i | ||||
\(627\) | 11.4143 | + | 24.9938i | 0.455843 | + | 0.998157i | ||||
\(628\) | 0.250640 | + | 0.289254i | 0.0100016 | + | 0.0115425i | ||||
\(629\) | 1.06160 | + | 7.38359i | 0.0423288 | + | 0.294403i | ||||
\(630\) | 11.2196 | + | 3.29437i | 0.446999 | + | 0.131251i | ||||
\(631\) | 10.3504 | − | 11.9450i | 0.412042 | − | 0.475522i | −0.511354 | − | 0.859370i | \(-0.670856\pi\) |
0.923396 | + | 0.383848i | \(0.125401\pi\) | |||||||
\(632\) | −7.08778 | − | 4.55504i | −0.281937 | − | 0.181190i | ||||
\(633\) | 65.2572 | + | 41.9382i | 2.59374 | + | 1.66690i | ||||
\(634\) | −16.2220 | + | 18.7212i | −0.644257 | + | 0.743512i | ||||
\(635\) | −2.38669 | − | 0.700795i | −0.0947128 | − | 0.0278102i | ||||
\(636\) | −1.83358 | − | 12.7528i | −0.0727061 | − | 0.505682i | ||||
\(637\) | 1.69975 | + | 1.96161i | 0.0673465 | + | 0.0777220i | ||||
\(638\) | 10.0014 | + | 21.8999i | 0.395958 | + | 0.867026i | ||||
\(639\) | 30.2152 | − | 8.87200i | 1.19530 | − | 0.350971i | ||||
\(640\) | −0.656129 | + | 1.43672i | −0.0259358 | + | 0.0567914i | ||||
\(641\) | 1.70187 | − | 11.8368i | 0.0672200 | − | 0.467525i | −0.928212 | − | 0.372052i | \(-0.878654\pi\) |
0.995432 | − | 0.0954736i | \(-0.0304365\pi\) | |||||||
\(642\) | 34.0877 | − | 21.9068i | 1.34533 | − | 0.864594i | ||||
\(643\) | −8.03903 | −0.317028 | −0.158514 | − | 0.987357i | \(-0.550670\pi\) | ||||
−0.158514 | + | 0.987357i | \(0.550670\pi\) | |||||||
\(644\) | 4.39736 | + | 1.91396i | 0.173280 | + | 0.0754204i | ||||
\(645\) | 8.84863 | 0.348415 | ||||||||
\(646\) | 12.6720 | − | 8.14381i | 0.498574 | − | 0.320414i | ||||
\(647\) | 0.780966 | − | 5.43174i | 0.0307030 | − | 0.213544i | −0.968694 | − | 0.248256i | \(-0.920142\pi\) |
0.999397 | + | 0.0347125i | \(0.0110516\pi\) | |||||||
\(648\) | −9.80360 | + | 21.4669i | −0.385122 | + | 0.843299i | ||||
\(649\) | 4.12137 | − | 1.21014i | 0.161778 | − | 0.0475023i | ||||
\(650\) | −2.70136 | − | 5.91515i | −0.105956 | − | 0.232011i | ||||
\(651\) | −21.6801 | − | 25.0202i | −0.849711 | − | 0.980619i | ||||
\(652\) | 0.520440 | + | 3.61974i | 0.0203820 | + | 0.141760i | ||||
\(653\) | 20.7329 | + | 6.08772i | 0.811340 | + | 0.238231i | 0.660983 | − | 0.750401i | \(-0.270139\pi\) |
0.150357 | + | 0.988632i | \(0.451958\pi\) | |||||||
\(654\) | −37.8459 | + | 43.6765i | −1.47989 | + | 1.70789i | ||||
\(655\) | 25.1993 | + | 16.1946i | 0.984618 | + | 0.632776i | ||||
\(656\) | 8.64171 | + | 5.55369i | 0.337402 | + | 0.216835i | ||||
\(657\) | −18.3967 | + | 21.2309i | −0.717722 | + | 0.828296i | ||||
\(658\) | −6.49595 | − | 1.90738i | −0.253239 | − | 0.0743576i | ||||
\(659\) | 2.52957 | + | 17.5935i | 0.0985380 | + | 0.685347i | 0.977882 | + | 0.209159i | \(0.0670727\pi\) |
−0.879344 | + | 0.476188i | \(0.842018\pi\) | |||||||
\(660\) | 13.1531 | + | 15.1795i | 0.511985 | + | 0.590863i | ||||
\(661\) | −0.325799 | − | 0.713399i | −0.0126721 | − | 0.0277480i | 0.903190 | − | 0.429241i | \(-0.141219\pi\) |
−0.915862 | + | 0.401493i | \(0.868492\pi\) | |||||||
\(662\) | 19.6507 | − | 5.76997i | 0.763746 | − | 0.224256i | ||||
\(663\) | −24.2454 | + | 53.0901i | −0.941614 | + | 2.06185i | ||||
\(664\) | −0.936039 | + | 6.51029i | −0.0363253 | + | 0.252648i | ||||
\(665\) | −2.87096 | + | 1.84506i | −0.111331 | + | 0.0715482i | ||||
\(666\) | 7.92162 | 0.306956 | ||||||||
\(667\) | 7.74706 | − | 28.2423i | 0.299967 | − | 1.09355i | ||||
\(668\) | 8.51418 | 0.329423 | ||||||||
\(669\) | −62.8799 | + | 40.4105i | −2.43108 | + | 1.56236i | ||||
\(670\) | −1.23179 | + | 8.56732i | −0.0475884 | + | 0.330984i | ||||
\(671\) | 14.4333 | − | 31.6046i | 0.557192 | − | 1.22008i | ||||
\(672\) | 3.09477 | − | 0.908706i | 0.119383 | − | 0.0350541i | ||||
\(673\) | −8.81076 | − | 19.2929i | −0.339630 | − | 0.743686i | 0.660344 | − | 0.750964i | \(-0.270411\pi\) |
−0.999974 | + | 0.00727779i | \(0.997683\pi\) | |||||||
\(674\) | −7.08811 | − | 8.18011i | −0.273024 | − | 0.315086i | ||||
\(675\) | 5.06389 | + | 35.2201i | 0.194909 | + | 1.35562i | ||||
\(676\) | 6.00923 | + | 1.76447i | 0.231124 | + | 0.0678642i | ||||
\(677\) | 7.16811 | − | 8.27244i | 0.275493 | − | 0.317936i | −0.601095 | − | 0.799178i | \(-0.705269\pi\) |
0.876588 | + | 0.481242i | \(0.159814\pi\) | |||||||
\(678\) | 9.46796 | + | 6.08469i | 0.363615 | + | 0.233681i | ||||
\(679\) | −0.816343 | − | 0.524632i | −0.0313284 | − | 0.0201335i | ||||
\(680\) | 7.21076 | − | 8.32166i | 0.276520 | − | 0.319121i | ||||
\(681\) | 51.6994 | + | 15.1803i | 1.98113 | + | 0.581711i | ||||
\(682\) | −5.75922 | − | 40.0562i | −0.220532 | − | 1.53383i | ||||
\(683\) | 15.6391 | + | 18.0485i | 0.598413 | + | 0.690606i | 0.971459 | − | 0.237207i | \(-0.0762320\pi\) |
−0.373046 | + | 0.927813i | \(0.621687\pi\) | |||||||
\(684\) | −6.64514 | − | 14.5508i | −0.254083 | − | 0.556365i | ||||
\(685\) | 18.3935 | − | 5.40082i | 0.702780 | − | 0.206355i | ||||
\(686\) | −0.415415 | + | 0.909632i | −0.0158606 | + | 0.0347299i | ||||
\(687\) | −0.736259 | + | 5.12079i | −0.0280900 | + | 0.195370i | ||||
\(688\) | 1.46120 | − | 0.939056i | 0.0557077 | − | 0.0358012i | ||||
\(689\) | −10.3681 | −0.394993 | ||||||||
\(690\) | −0.436762 | − | 24.4280i | −0.0166272 | − | 0.929959i | ||||
\(691\) | 20.8592 | 0.793521 | 0.396761 | − | 0.917922i | \(-0.370134\pi\) | ||||
0.396761 | + | 0.917922i | \(0.370134\pi\) | |||||||
\(692\) | 13.1355 | − | 8.44168i | 0.499337 | − | 0.320904i | ||||
\(693\) | 4.15399 | − | 28.8916i | 0.157797 | − | 1.09750i | ||||
\(694\) | 3.09520 | − | 6.77755i | 0.117492 | − | 0.257272i | ||||
\(695\) | −23.7532 | + | 6.97456i | −0.901009 | + | 0.264560i | ||||
\(696\) | −8.18199 | − | 17.9161i | −0.310137 | − | 0.679106i | ||||
\(697\) | −46.8972 | − | 54.1222i | −1.77636 | − | 2.05003i | ||||
\(698\) | 0.0274761 | + | 0.191100i | 0.00103999 | + | 0.00723326i | ||||
\(699\) | 67.7692 | + | 19.8988i | 2.56327 | + | 0.752643i | ||||
\(700\) | 1.64064 | − | 1.89340i | 0.0620103 | − | 0.0715637i | ||||
\(701\) | −39.7299 | − | 25.5328i | −1.50058 | − | 0.964362i | −0.994816 | − | 0.101688i | \(-0.967576\pi\) |
−0.505760 | − | 0.862674i | \(-0.668788\pi\) | |||||||
\(702\) | 31.0122 | + | 19.9303i | 1.17048 | + | 0.752222i | ||||
\(703\) | −1.51401 | + | 1.74726i | −0.0571019 | + | 0.0658991i | ||||
\(704\) | 3.78293 | + | 1.11077i | 0.142575 | + | 0.0418637i | ||||
\(705\) | 4.90846 | + | 34.1391i | 0.184863 | + | 1.28575i | ||||
\(706\) | −13.0137 | − | 15.0186i | −0.489777 | − | 0.565233i | ||||
\(707\) | −2.15681 | − | 4.72275i | −0.0811150 | − | 0.177617i | ||||
\(708\) | −3.37164 | + | 0.990004i | −0.126714 | + | 0.0372066i | ||||
\(709\) | 7.84356 | − | 17.1750i | 0.294571 | − | 0.645021i | −0.703254 | − | 0.710939i | \(-0.748270\pi\) |
0.997825 | + | 0.0659180i | \(0.0209976\pi\) | |||||||
\(710\) | −0.956122 | + | 6.64997i | −0.0358826 | + | 0.249569i | ||||
\(711\) | 52.4733 | − | 33.7225i | 1.96790 | − | 1.26469i | ||||
\(712\) | −13.2757 | −0.497527 | ||||||||
\(713\) | −25.8688 | + | 41.8803i | −0.968793 | + | 1.56843i | ||||
\(714\) | −22.4860 | −0.841516 | ||||||||
\(715\) | 13.5974 | − | 8.73853i | 0.508515 | − | 0.326803i | ||||
\(716\) | −0.138872 | + | 0.965877i | −0.00518989 | + | 0.0360965i | ||||
\(717\) | −11.5065 | + | 25.1958i | −0.429719 | + | 0.940953i | ||||
\(718\) | 21.9575 | − | 6.44732i | 0.819448 | − | 0.240612i | ||||
\(719\) | 9.87659 | + | 21.6267i | 0.368335 | + | 0.806540i | 0.999522 | + | 0.0309100i | \(0.00984053\pi\) |
−0.631188 | + | 0.775630i | \(0.717432\pi\) | |||||||
\(720\) | −7.65745 | − | 8.83717i | −0.285376 | − | 0.329342i | ||||
\(721\) | −0.138164 | − | 0.960952i | −0.00514550 | − | 0.0357877i | ||||
\(722\) | −13.7509 | − | 4.03762i | −0.511754 | − | 0.150265i | ||||
\(723\) | −41.7501 | + | 48.1822i | −1.55270 | + | 1.79192i | ||||
\(724\) | 20.4342 | + | 13.1323i | 0.759431 | + | 0.488057i | ||||
\(725\) | −12.8701 | − | 8.27109i | −0.477982 | − | 0.307181i | ||||
\(726\) | 9.59868 | − | 11.0775i | 0.356240 | − | 0.411123i | ||||
\(727\) | 44.7003 | + | 13.1252i | 1.65784 | + | 0.486787i | 0.970812 | − | 0.239840i | \(-0.0770951\pi\) |
0.687032 | + | 0.726627i | \(0.258913\pi\) | |||||||
\(728\) | −0.369391 | − | 2.56917i | −0.0136905 | − | 0.0952197i | ||||
\(729\) | −24.4177 | − | 28.1795i | −0.904359 | − | 1.04369i | ||||
\(730\) | −2.48972 | − | 5.45173i | −0.0921488 | − | 0.201778i | ||||
\(731\) | −11.6185 | + | 3.41149i | −0.429725 | + | 0.126179i | ||||
\(732\) | −11.8077 | + | 25.8553i | −0.436426 | + | 0.955639i | ||||
\(733\) | 2.51189 | − | 17.4706i | 0.0927787 | − | 0.645290i | −0.889371 | − | 0.457187i | \(-0.848857\pi\) |
0.982149 | − | 0.188103i | \(-0.0602339\pi\) | |||||||
\(734\) | 7.87653 | − | 5.06194i | 0.290728 | − | 0.186840i | ||||
\(735\) | 5.09441 | 0.187910 | ||||||||
\(736\) | −2.66453 | − | 3.98751i | −0.0982159 | − | 0.146982i | ||||
\(737\) | 21.6057 | 0.795856 | ||||||||
\(738\) | −63.9776 | + | 41.1159i | −2.35505 | + | 1.51350i | ||||
\(739\) | −5.55250 | + | 38.6185i | −0.204252 | + | 1.42060i | 0.587235 | + | 0.809417i | \(0.300216\pi\) |
−0.791487 | + | 0.611186i | \(0.790693\pi\) | |||||||
\(740\) | −0.702061 | + | 1.53730i | −0.0258083 | + | 0.0565122i | ||||
\(741\) | −17.3563 | + | 5.09628i | −0.637601 | + | 0.187216i | ||||
\(742\) | −1.65938 | − | 3.63353i | −0.0609176 | − | 0.133391i | ||||
\(743\) | −23.7337 | − | 27.3902i | −0.870707 | − | 1.00485i | −0.999912 | − | 0.0132313i | \(-0.995788\pi\) |
0.129206 | − | 0.991618i | \(-0.458757\pi\) | |||||||
\(744\) | 4.71154 | + | 32.7695i | 0.172734 | + | 1.20139i | ||||
\(745\) | −15.9778 | − | 4.69149i | −0.585380 | − | 0.171883i | ||||
\(746\) | 13.3811 | − | 15.4426i | 0.489918 | − | 0.565395i | ||||
\(747\) | −40.9637 | − | 26.3257i | −1.49878 | − | 0.963209i | ||||
\(748\) | −23.1227 | − | 14.8601i | −0.845450 | − | 0.543338i | ||||
\(749\) | 8.22685 | − | 9.49429i | 0.300602 | − | 0.346914i | ||||
\(750\) | −36.6864 | − | 10.7721i | −1.33960 | − | 0.393341i | ||||
\(751\) | 1.97529 | + | 13.7384i | 0.0720793 | + | 0.501323i | 0.993597 | + | 0.112985i | \(0.0360414\pi\) |
−0.921517 | + | 0.388337i | \(0.873050\pi\) | |||||||
\(752\) | 4.43353 | + | 5.11657i | 0.161674 | + | 0.186582i | ||||
\(753\) | −20.9026 | − | 45.7703i | −0.761733 | − | 1.66796i | ||||
\(754\) | −15.2078 | + | 4.46543i | −0.553837 | + | 0.162621i | ||||
\(755\) | 4.24412 | − | 9.29333i | 0.154459 | − | 0.338219i | ||||
\(756\) | −2.02125 | + | 14.0581i | −0.0735121 | + | 0.511288i | ||||
\(757\) | −25.0231 | + | 16.0814i | −0.909480 | + | 0.584488i | −0.909587 | − | 0.415512i | \(-0.863602\pi\) |
0.000107102 | 1.00000i | \(0.499966\pi\) | ||||||||
\(758\) | 12.5531 | 0.455949 | ||||||||
\(759\) | −60.2015 | + | 9.75712i | −2.18517 | + | 0.354161i | ||||
\(760\) | 3.41272 | 0.123792 | ||||||||
\(761\) | −30.7633 | + | 19.7704i | −1.11517 | + | 0.716676i | −0.962414 | − | 0.271588i | \(-0.912451\pi\) |
−0.152756 | + | 0.988264i | \(0.548815\pi\) | |||||||
\(762\) | 0.722909 | − | 5.02794i | 0.0261882 | − | 0.182143i | ||||
\(763\) | −7.44330 | + | 16.2985i | −0.269465 | + | 0.590047i | ||||
\(764\) | 8.11796 | − | 2.38365i | 0.293698 | − | 0.0862374i | ||||
\(765\) | 33.8643 | + | 74.1525i | 1.22437 | + | 2.68099i | ||||
\(766\) | −5.46054 | − | 6.30180i | −0.197297 | − | 0.227693i | ||||
\(767\) | 0.402438 | + | 2.79902i | 0.0145312 | + | 0.101067i | ||||
\(768\) | −3.09477 | − | 0.908706i | −0.111673 | − | 0.0327901i | ||||
\(769\) | 17.9197 | − | 20.6804i | 0.646200 | − | 0.745755i | −0.334258 | − | 0.942482i | \(-0.608486\pi\) |
0.980458 | + | 0.196727i | \(0.0630311\pi\) | |||||||
\(770\) | 5.23867 | + | 3.36669i | 0.188788 | + | 0.121327i | ||||
\(771\) | 78.0540 | + | 50.1623i | 2.81105 | + | 1.80655i | ||||
\(772\) | −5.82061 | + | 6.71734i | −0.209488 | + | 0.241762i | ||||
\(773\) | 3.75932 | + | 1.10384i | 0.135213 | + | 0.0397023i | 0.348639 | − | 0.937257i | \(-0.386644\pi\) |
−0.213426 | + | 0.976959i | \(0.568462\pi\) | |||||||
\(774\) | 1.83004 | + | 12.7282i | 0.0657795 | + | 0.457506i | ||||
\(775\) | 16.8399 | + | 19.4343i | 0.604907 | + | 0.698100i | ||||
\(776\) | 0.403114 | + | 0.882697i | 0.0144710 | + | 0.0316870i | ||||
\(777\) | 3.31142 | − | 0.972320i | 0.118796 | − | 0.0348818i | ||||
\(778\) | −10.0255 | + | 21.9528i | −0.359431 | + | 0.787045i | ||||
\(779\) | 3.15876 | − | 21.9696i | 0.113174 | − | 0.787144i | ||||
\(780\) | −11.1239 | + | 7.14888i | −0.398299 | + | 0.255971i | ||||
\(781\) | 16.7704 | 0.600091 | ||||||||
\(782\) | 9.99143 | + | 31.9062i | 0.357293 | + | 1.14096i | ||||
\(783\) | 86.7281 | 3.09941 | ||||||||
\(784\) | 0.841254 | − | 0.540641i | 0.0300448 | − | 0.0193086i | ||||
\(785\) | 0.0860318 | − | 0.598364i | 0.00307061 | − | 0.0213565i | ||||
\(786\) | −25.4111 | + | 55.6425i | −0.906384 | + | 1.98470i | ||||
\(787\) | 0.694264 | − | 0.203854i | 0.0247478 | − | 0.00726662i | −0.269335 | − | 0.963046i | \(-0.586804\pi\) |
0.294083 | + | 0.955780i | \(0.404986\pi\) | |||||||
\(788\) | −3.08059 | − | 6.74555i | −0.109741 | − | 0.240300i | ||||
\(789\) | −23.2819 | − | 26.8688i | −0.828858 | − | 0.956553i | ||||
\(790\) | 1.89383 | + | 13.1719i | 0.0673794 | + | 0.468634i | ||||
\(791\) | 3.34799 | + | 0.983060i | 0.119041 | + | 0.0349536i | ||||
\(792\) | −19.1146 | + | 22.0594i | −0.679206 | + | 0.783846i | ||||
\(793\) | 19.2424 | + | 12.3664i | 0.683319 | + | 0.439142i | ||||
\(794\) | −11.0564 | − | 7.10553i | −0.392378 | − | 0.252166i | ||||
\(795\) | −13.3262 | + | 15.3792i | −0.472630 | + | 0.545445i | ||||
\(796\) | 8.69814 | + | 2.55400i | 0.308297 | + | 0.0905242i | ||||
\(797\) | 3.37974 | + | 23.5066i | 0.119717 | + | 0.832647i | 0.957868 | + | 0.287209i | \(0.0927276\pi\) |
−0.838151 | + | 0.545438i | \(0.816363\pi\) | |||||||
\(798\) | −4.56383 | − | 5.26694i | −0.161558 | − | 0.186448i | ||||
\(799\) | −19.6069 | − | 42.9331i | −0.693641 | − | 1.51886i | ||||
\(800\) | −2.40384 | + | 0.705831i | −0.0849886 | + | 0.0249549i | ||||
\(801\) | 40.8288 | − | 89.4026i | 1.44262 | − | 3.15889i | ||||
\(802\) | −3.51022 | + | 24.4141i | −0.123950 | + | 0.862093i | ||||
\(803\) | −12.5857 | + | 8.08831i | −0.444138 | + | 0.285430i | ||||
\(804\) | −17.6753 | −0.623361 | ||||||||
\(805\) | −2.26365 | − | 7.22865i | −0.0797833 | − | 0.254777i | ||||
\(806\) | 26.6417 | 0.938414 | ||||||||
\(807\) | 14.5915 | − | 9.37737i | 0.513644 | − | 0.330099i | ||||
\(808\) | −0.738889 | + | 5.13909i | −0.0259940 | + | 0.180792i | ||||
\(809\) | −0.326961 | + | 0.715945i | −0.0114953 | + | 0.0251713i | −0.915293 | − | 0.402790i | \(-0.868041\pi\) |
0.903797 | + | 0.427961i | \(0.140768\pi\) | |||||||
\(810\) | 35.7645 | − | 10.5014i | 1.25664 | − | 0.368982i | ||||
\(811\) | 6.07235 | + | 13.2966i | 0.213229 | + | 0.466907i | 0.985779 | − | 0.168048i | \(-0.0537462\pi\) |
−0.772550 | + | 0.634954i | \(0.781019\pi\) | |||||||
\(812\) | −3.99889 | − | 4.61496i | −0.140333 | − | 0.161953i | ||||
\(813\) | −0.556493 | − | 3.87049i | −0.0195170 | − | 0.135744i | ||||
\(814\) | 4.04776 | + | 1.18853i | 0.141874 | + | 0.0416579i | ||||
\(815\) | 3.78247 | − | 4.36521i | 0.132494 | − | 0.152907i | ||||
\(816\) | 18.9164 | + | 12.1568i | 0.662207 | + | 0.425574i | ||||
\(817\) | −3.15721 | − | 2.02901i | −0.110457 | − | 0.0709862i | ||||
\(818\) | 15.3455 | − | 17.7097i | 0.536544 | − | 0.619205i | ||||
\(819\) | 18.4377 | + | 5.41379i | 0.644264 | + | 0.189173i | ||||
\(820\) | −2.30903 | − | 16.0597i | −0.0806349 | − | 0.560828i | ||||
\(821\) | 23.3185 | + | 26.9110i | 0.813822 | + | 0.939200i | 0.999054 | − | 0.0434944i | \(-0.0138491\pi\) |
−0.185232 | + | 0.982695i | \(0.559304\pi\) | |||||||
\(822\) | 16.2624 | + | 35.6097i | 0.567216 | + | 1.24203i | ||||
\(823\) | 21.0365 | − | 6.17687i | 0.733286 | − | 0.215312i | 0.106291 | − | 0.994335i | \(-0.466103\pi\) |
0.626995 | + | 0.779023i | \(0.284284\pi\) | |||||||
\(824\) | −0.403299 | + | 0.883102i | −0.0140496 | + | 0.0307643i | ||||
\(825\) | −4.53406 | + | 31.5351i | −0.157856 | + | 1.09791i | ||||
\(826\) | −0.916516 | + | 0.589009i | −0.0318897 | + | 0.0204943i | ||||
\(827\) | 11.1908 | 0.389142 | 0.194571 | − | 0.980888i | \(-0.437668\pi\) | ||||
0.194571 | + | 0.980888i | \(0.437668\pi\) | |||||||
\(828\) | 35.0479 | − | 5.68037i | 1.21800 | − | 0.197406i | ||||
\(829\) | −27.8448 | −0.967090 | −0.483545 | − | 0.875319i | \(-0.660651\pi\) | ||||
−0.483545 | + | 0.875319i | \(0.660651\pi\) | |||||||
\(830\) | 8.73932 | − | 5.61642i | 0.303346 | − | 0.194949i | ||||
\(831\) | −5.59847 | + | 38.9382i | −0.194209 | + | 1.35075i | ||||
\(832\) | −1.07825 | + | 2.36103i | −0.0373815 | + | 0.0818540i | ||||
\(833\) | −6.68909 | + | 1.96409i | −0.231763 | + | 0.0680518i | ||||
\(834\) | −21.0011 | − | 45.9859i | −0.727207 | − | 1.59236i | ||||
\(835\) | −8.80641 | − | 10.1631i | −0.304758 | − | 0.351710i | ||||
\(836\) | −1.21236 | − | 8.43213i | −0.0419303 | − | 0.291631i | ||||
\(837\) | −139.874 | − | 41.0708i | −4.83476 | − | 1.41961i | ||||
\(838\) | 8.70155 | − | 10.0421i | 0.300590 | − | 0.346900i | ||||
\(839\) | 11.1934 | + | 7.19354i | 0.386438 | + | 0.248349i | 0.719406 | − | 0.694589i | \(-0.244414\pi\) |
−0.332969 | + | 0.942938i | \(0.608050\pi\) | |||||||
\(840\) | −4.28569 | − | 2.75424i | −0.147870 | − | 0.0950305i | ||||
\(841\) | −5.42810 | + | 6.26436i | −0.187176 | + | 0.216012i | ||||
\(842\) | 6.75923 | + | 1.98469i | 0.232939 | + | 0.0683969i | ||||
\(843\) | −10.2363 | − | 71.1953i | −0.352558 | − | 2.45210i | ||||
\(844\) | −15.7494 | − | 18.1758i | −0.542116 | − | 0.625635i | ||||
\(845\) | −4.10928 | − | 8.99808i | −0.141364 | − | 0.309543i | ||||
\(846\) | −48.0918 | + | 14.1210i | −1.65343 | + | 0.485491i | ||||
\(847\) | 1.88781 | − | 4.13373i | 0.0648659 | − | 0.142037i | ||||
\(848\) | −0.568477 | + | 3.95384i | −0.0195216 | + | 0.135776i | ||||
\(849\) | −85.1151 | + | 54.7002i | −2.92114 | + | 1.87731i | ||||
\(850\) | 17.4658 | 0.599073 | ||||||||
\(851\) | −2.85106 | − | 4.26666i | −0.0977331 | − | 0.146259i | ||||
\(852\) | −13.7196 | −0.470027 | ||||||||
\(853\) | 5.72461 | − | 3.67898i | 0.196007 | − | 0.125966i | −0.438956 | − | 0.898508i | \(-0.644652\pi\) |
0.634963 | + | 0.772543i | \(0.281015\pi\) | |||||||
\(854\) | −1.25414 | + | 8.72276i | −0.0429159 | + | 0.298487i | ||||
\(855\) | −10.4957 | + | 22.9824i | −0.358945 | + | 0.785980i | ||||
\(856\) | −12.0539 | + | 3.53933i | −0.411993 | + | 0.120972i | ||||
\(857\) | 15.9375 | + | 34.8982i | 0.544414 | + | 1.19210i | 0.959342 | + | 0.282247i | \(0.0910796\pi\) |
−0.414928 | + | 0.909854i | \(0.636193\pi\) | |||||||
\(858\) | 21.6151 | + | 24.9452i | 0.737929 | + | 0.851616i | ||||
\(859\) | −2.78160 | − | 19.3465i | −0.0949071 | − | 0.660093i | −0.980629 | − | 0.195876i | \(-0.937245\pi\) |
0.885721 | − | 0.464217i | \(-0.153664\pi\) | |||||||
\(860\) | −2.63228 | − | 0.772906i | −0.0897599 | − | 0.0263559i | ||||
\(861\) | −21.6974 | + | 25.0402i | −0.739446 | + | 0.853366i | ||||
\(862\) | 34.5998 | + | 22.2359i | 1.17847 | + | 0.757359i | ||||
\(863\) | −35.9051 | − | 23.0748i | −1.22222 | − | 0.785475i | −0.239560 | − | 0.970881i | \(-0.577003\pi\) |
−0.982662 | + | 0.185407i | \(0.940640\pi\) | |||||||
\(864\) | 9.30077 | − | 10.7337i | 0.316418 | − | 0.365166i | ||||
\(865\) | −23.6629 | − | 6.94807i | −0.804564 | − | 0.236241i | ||||
\(866\) | 0.247396 | + | 1.72068i | 0.00840687 | + | 0.0584711i | ||||
\(867\) | −66.7489 | − | 77.0323i | −2.26691 | − | 2.61615i | ||||
\(868\) | 4.26392 | + | 9.33667i | 0.144727 | + | 0.316907i | ||||
\(869\) | 31.8722 | − | 9.35852i | 1.08119 | − | 0.317466i | ||||
\(870\) | −12.9231 | + | 28.2976i | −0.438133 | + | 0.959378i | ||||
\(871\) | −2.02426 | + | 14.0791i | −0.0685896 | + | 0.477051i | ||||
\(872\) | 15.0734 | − | 9.68706i | 0.510448 | − | 0.328045i | ||||
\(873\) | −7.18413 | −0.243146 | ||||||||
\(874\) | −5.44557 | + | 8.81611i | −0.184199 | + | 0.298209i | ||||
\(875\) | −11.8543 | −0.400749 | ||||||||
\(876\) | 10.2962 | − | 6.61694i | 0.347875 | − | 0.223566i | ||||
\(877\) | 6.47484 | − | 45.0335i | 0.218640 | − | 1.52067i | −0.524426 | − | 0.851456i | \(-0.675720\pi\) |
0.743066 | − | 0.669218i | \(-0.233371\pi\) | |||||||
\(878\) | −2.27205 | + | 4.97511i | −0.0766781 | + | 0.167902i | ||||
\(879\) | −48.6657 | + | 14.2895i | −1.64145 | + | 0.481974i | ||||
\(880\) | −2.58688 | − | 5.66447i | −0.0872037 | − | 0.190949i | ||||
\(881\) | −20.6868 | − | 23.8738i | −0.696954 | − | 0.804328i | 0.291383 | − | 0.956606i | \(-0.405884\pi\) |
−0.988338 | + | 0.152278i | \(0.951339\pi\) | |||||||
\(882\) | 1.05361 | + | 7.32799i | 0.0354768 | + | 0.246746i | ||||
\(883\) | 29.5139 | + | 8.66607i | 0.993223 | + | 0.291636i | 0.737672 | − | 0.675159i | \(-0.235925\pi\) |
0.255551 | + | 0.966796i | \(0.417743\pi\) | |||||||
\(884\) | 11.8498 | − | 13.6754i | 0.398551 | − | 0.459952i | ||||
\(885\) | 4.66911 | + | 3.00065i | 0.156950 | + | 0.100866i | ||||
\(886\) | 29.7629 | + | 19.1275i | 0.999904 | + | 0.642599i | ||||
\(887\) | −22.2260 | + | 25.6501i | −0.746274 | + | 0.861247i | −0.994202 | − | 0.107532i | \(-0.965705\pi\) |
0.247927 | + | 0.968779i | \(0.420251\pi\) | |||||||
\(888\) | −3.31142 | − | 0.972320i | −0.111124 | − | 0.0326289i | ||||
\(889\) | −0.224128 | − | 1.55885i | −0.00751703 | − | 0.0522821i | ||||
\(890\) | 13.7313 | + | 15.8468i | 0.460275 | + | 0.531186i | ||||
\(891\) | −38.6521 | − | 84.6362i | −1.29489 | − | 2.83542i | ||||
\(892\) | 22.2352 | − | 6.52883i | 0.744488 | − | 0.218601i | ||||
\(893\) | 6.07683 | − | 13.3064i | 0.203353 | − | 0.445282i | ||||
\(894\) | 4.83954 | − | 33.6597i | 0.161858 | − | 1.12575i | ||||
\(895\) | 1.29658 | − | 0.833260i | 0.0433398 | − | 0.0278528i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −0.717750 | − | 40.1437i | −0.0239650 | − | 1.34036i | ||||
\(898\) | 21.0006 | 0.700800 | ||||||||
\(899\) | 52.7282 | − | 33.8864i | 1.75859 | − | 1.13017i | ||||
\(900\) | 2.63963 | − | 18.3590i | 0.0879875 | − | 0.611967i | ||||
\(901\) | 11.5683 | − | 25.3311i | 0.385396 | − | 0.843900i | ||||
\(902\) | −38.8599 | + | 11.4103i | −1.29389 | + | 0.379921i | ||||
\(903\) | 2.32729 | + | 5.09606i | 0.0774475 | + | 0.169586i | ||||
\(904\) | −2.28503 | − | 2.63706i | −0.0759989 | − | 0.0877075i | ||||
\(905\) | −5.45994 | − | 37.9747i | −0.181495 | − | 1.26232i | ||||
\(906\) | 20.0183 | + | 5.87790i | 0.665063 | + | 0.195280i | ||||
\(907\) | 16.1879 | − | 18.6818i | 0.537509 | − | 0.620319i | −0.420418 | − | 0.907331i | \(-0.638116\pi\) |
0.957927 | + | 0.287012i | \(0.0926619\pi\) | |||||||
\(908\) | −14.0535 | − | 9.03163i | −0.466381 | − | 0.299725i | ||||
\(909\) | −32.3358 | − | 20.7810i | −1.07251 | − | 0.689262i | ||||
\(910\) | −2.68468 | + | 3.09828i | −0.0889961 | + | 0.102707i | ||||
\(911\) | 29.5820 | + | 8.68604i | 0.980094 | + | 0.287781i | 0.732263 | − | 0.681022i | \(-0.238464\pi\) |
0.247831 | + | 0.968803i | \(0.420282\pi\) | |||||||
\(912\) | 0.991814 | + | 6.89822i | 0.0328423 | + | 0.228423i | ||||
\(913\) | −16.9816 | − | 19.5978i | −0.562010 | − | 0.648594i | ||||
\(914\) | −4.24276 | − | 9.29035i | −0.140338 | − | 0.307298i | ||||
\(915\) | 43.0757 | − | 12.6482i | 1.42404 | − | 0.418136i | ||||
\(916\) | 0.666309 | − | 1.45901i | 0.0220155 | − | 0.0482072i | ||||
\(917\) | −2.69901 | + | 18.7720i | −0.0891292 | + | 0.619907i | ||||
\(918\) | −83.2955 | + | 53.5308i | −2.74916 | + | 1.76678i | ||||
\(919\) | 32.9310 | 1.08629 | 0.543146 | − | 0.839638i | \(-0.317233\pi\) | ||||
0.543146 | + | 0.839638i | \(0.317233\pi\) | |||||||
\(920\) | −2.00380 | + | 7.30495i | −0.0660633 | + | 0.240837i | ||||
\(921\) | 59.5061 | 1.96079 | ||||||||
\(922\) | 30.4589 | − | 19.5748i | 1.00311 | − | 0.644660i | ||||
\(923\) | −1.57124 | + | 10.9282i | −0.0517179 | + | 0.359706i | ||||
\(924\) | −5.28270 | + | 11.5675i | −0.173788 | + | 0.380543i | ||||
\(925\) | −2.57212 | + | 0.755243i | −0.0845708 | + | 0.0248322i | ||||
\(926\) | 3.86450 | + | 8.46207i | 0.126995 | + | 0.278081i | ||||
\(927\) | −4.70676 | − | 5.43189i | −0.154590 | − | 0.178407i | ||||
\(928\) | 0.869041 | + | 6.04431i | 0.0285277 | + | 0.198414i | ||||
\(929\) | 16.4017 | + | 4.81597i | 0.538122 | + | 0.158007i | 0.539490 | − | 0.841992i | \(-0.318617\pi\) |
−0.00136770 | + | 0.999999i | \(0.500435\pi\) | |||||||
\(930\) | 34.2428 | − | 39.5183i | 1.12286 | − | 1.29586i | ||||
\(931\) | −1.81769 | − | 1.16816i | −0.0595725 | − | 0.0382849i | ||||
\(932\) | −18.4218 | − | 11.8389i | −0.603425 | − | 0.387798i | ||||
\(933\) | 44.5376 | − | 51.3991i | 1.45810 | − | 1.68273i | ||||
\(934\) | −5.18890 | − | 1.52360i | −0.169786 | − | 0.0498537i | ||||
\(935\) | 6.17830 | + | 42.9710i | 0.202052 | + | 1.40530i | ||||
\(936\) | −12.5838 | − | 14.5225i | −0.411316 | − | 0.474683i | ||||
\(937\) | 9.59380 | + | 21.0075i | 0.313416 | + | 0.686285i | 0.999135 | − | 0.0415812i | \(-0.0132395\pi\) |
−0.685719 | + | 0.727866i | \(0.740512\pi\) | |||||||
\(938\) | −5.25803 | + | 1.54390i | −0.171681 | + | 0.0504100i | ||||
\(939\) | 13.4757 | − | 29.5077i | 0.439763 | − | 0.962946i | ||||
\(940\) | 1.52180 | − | 10.5844i | 0.0496357 | − | 0.345224i | ||||
\(941\) | 42.0677 | − | 27.0353i | 1.37137 | − | 0.881326i | 0.372461 | − | 0.928048i | \(-0.378514\pi\) |
0.998908 | + | 0.0467220i | \(0.0148775\pi\) | |||||||
\(942\) | 1.23449 | 0.0402219 | ||||||||
\(943\) | 45.1715 | + | 19.6610i | 1.47099 | + | 0.640249i | ||||
\(944\) | 1.08946 | 0.0354591 | ||||||||
\(945\) | 18.8714 | − | 12.1279i | 0.613886 | − | 0.394521i | ||||
\(946\) | −0.974585 | + | 6.77839i | −0.0316865 | + | 0.220384i | ||||
\(947\) | −0.0859614 | + | 0.188229i | −0.00279337 | + | 0.00611662i | −0.911024 | − | 0.412354i | \(-0.864707\pi\) |
0.908230 | + | 0.418471i | \(0.137434\pi\) | |||||||
\(948\) | −26.0742 | + | 7.65609i | −0.846852 | + | 0.248658i | ||||
\(949\) | −4.09147 | − | 8.95908i | −0.132815 | − | 0.290824i | ||||
\(950\) | 3.54492 | + | 4.09106i | 0.115012 | + | 0.132731i | ||||
\(951\) | 11.3708 | + | 79.0858i | 0.368724 | + | 2.56453i | ||||
\(952\) | 6.68909 | + | 1.96409i | 0.216795 | + | 0.0636566i | ||||
\(953\) | −35.8350 | + | 41.3558i | −1.16081 | + | 1.33965i | −0.230413 | + | 0.973093i | \(0.574008\pi\) |
−0.930397 | + | 0.366553i | \(0.880538\pi\) | |||||||
\(954\) | −24.8781 | − | 15.9882i | −0.805459 | − | 0.517637i | ||||
\(955\) | −11.2419 | − | 7.22472i | −0.363779 | − | 0.233787i | ||||
\(956\) | 5.62372 | − | 6.49012i | 0.181884 | − | 0.209906i | ||||
\(957\) | 74.5084 | + | 21.8776i | 2.40851 | + | 0.707204i | ||||
\(958\) | 0.0998371 | + | 0.694382i | 0.00322559 | + | 0.0224345i | ||||
\(959\) | 7.94813 | + | 9.17263i | 0.256658 | + | 0.296200i | ||||
\(960\) | 2.11629 | + | 4.63404i | 0.0683031 | + | 0.149563i | ||||
\(961\) | −71.3425 | + | 20.9481i | −2.30137 | + | 0.675744i | ||||
\(962\) | −1.15373 | + | 2.52631i | −0.0371977 | + | 0.0814516i | ||||
\(963\) | 13.2362 | − | 92.0597i | 0.426530 | − | 2.96658i | ||||
\(964\) | 16.6283 | − | 10.6864i | 0.535563 | − | 0.344185i | ||||
\(965\) | 14.0387 | 0.451921 | ||||||||
\(966\) | 13.9536 | − | 6.67639i | 0.448950 | − | 0.214809i | ||||
\(967\) | −28.6222 | −0.920429 | −0.460214 | − | 0.887808i | \(-0.652227\pi\) | ||||
−0.460214 | + | 0.887808i | \(0.652227\pi\) | |||||||
\(968\) | −3.82299 | + | 2.45688i | −0.122875 | + | 0.0789673i | ||||
\(969\) | 6.91441 | − | 48.0908i | 0.222123 | − | 1.54490i | ||||
\(970\) | 0.636700 | − | 1.39418i | 0.0204432 | − | 0.0447644i | ||||
\(971\) | 4.15710 | − | 1.22063i | 0.133408 | − | 0.0391720i | −0.214347 | − | 0.976758i | \(-0.568762\pi\) |
0.347755 | + | 0.937586i | \(0.386944\pi\) | |||||||
\(972\) | 13.9208 | + | 30.4822i | 0.446509 | + | 0.977717i | ||||
\(973\) | −10.2641 | − | 11.8454i | −0.329052 | − | 0.379747i | ||||
\(974\) | −1.13980 | − | 7.92750i | −0.0365216 | − | 0.254014i | ||||
\(975\) | −20.1246 | − | 5.90913i | −0.644504 | − | 0.189244i | ||||
\(976\) | 5.77093 | − | 6.66001i | 0.184723 | − | 0.213182i | ||||
\(977\) | 1.05215 | + | 0.676179i | 0.0336614 | + | 0.0216329i | 0.557363 | − | 0.830269i | \(-0.311813\pi\) |
−0.523702 | + | 0.851902i | \(0.675449\pi\) | |||||||
\(978\) | 9.92278 | + | 6.37699i | 0.317296 | + | 0.203914i | ||||
\(979\) | 34.2762 | − | 39.5568i | 1.09547 | − | 1.26424i | ||||
\(980\) | −1.51548 | − | 0.444984i | −0.0484101 | − | 0.0142145i | ||||
\(981\) | 18.8782 | + | 131.301i | 0.602736 | + | 4.19212i | ||||
\(982\) | −8.11709 | − | 9.36762i | −0.259027 | − | 0.298933i | ||||
\(983\) | 21.6466 | + | 47.3995i | 0.690419 | + | 1.51181i | 0.851213 | + | 0.524820i | \(0.175867\pi\) |
−0.160794 | + | 0.986988i | \(0.551405\pi\) | |||||||
\(984\) | 31.7908 | − | 9.33461i | 1.01345 | − | 0.297577i | ||||
\(985\) | −4.86565 | + | 10.6543i | −0.155032 | + | 0.339474i | ||||
\(986\) | 6.05850 | − | 42.1378i | 0.192942 | − | 1.34194i | ||||
\(987\) | −18.3702 | + | 11.8058i | −0.584731 | + | 0.375784i | ||||
\(988\) | 5.60828 | 0.178423 | ||||||||
\(989\) | 6.19689 | − | 5.56668i | 0.197050 | − | 0.177010i | ||||
\(990\) | 46.1023 | 1.46523 | ||||||||
\(991\) | 9.38147 | − | 6.02910i | 0.298012 | − | 0.191521i | −0.383086 | − | 0.923713i | \(-0.625139\pi\) |
0.681099 | + | 0.732192i | \(0.261502\pi\) | |||||||
\(992\) | 1.46075 | − | 10.1598i | 0.0463789 | − | 0.322573i | ||||
\(993\) | 27.4413 | − | 60.0881i | 0.870824 | − | 1.90684i | ||||
\(994\) | −4.08129 | + | 1.19838i | −0.129451 | + | 0.0380102i | ||||
\(995\) | −5.94804 | − | 13.0244i | −0.188565 | − | 0.412901i | ||||
\(996\) | 13.8925 | + | 16.0328i | 0.440199 | + | 0.508017i | ||||
\(997\) | −1.89653 | − | 13.1906i | −0.0600636 | − | 0.417751i | −0.997563 | − | 0.0697657i | \(-0.977775\pi\) |
0.937500 | − | 0.347986i | \(-0.113134\pi\) | |||||||
\(998\) | −36.7696 | − | 10.7965i | −1.16392 | − | 0.341758i | ||||
\(999\) | 9.95186 | − | 11.4851i | 0.314863 | − | 0.363371i |
(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 | 322.2.i.e.127.1 | yes | 40 | |
23.2 | even | 11 | inner | 322.2.i.e.71.1 | ✓ | 40 | |
23.5 | odd | 22 | 7406.2.a.bs.1.19 | 20 | |||
23.18 | even | 11 | 7406.2.a.bt.1.19 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.e.71.1 | ✓ | 40 | 23.2 | even | 11 | inner | |
322.2.i.e.127.1 | yes | 40 | 1.1 | even | 1 | trivial | |
7406.2.a.bs.1.19 | 20 | 23.5 | odd | 22 | |||
7406.2.a.bt.1.19 | 20 | 23.18 | even | 11 |