Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(135,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.135");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.j (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 135.13 | ||
Character | \(\chi\) | \(=\) | 731.135 |
Dual form | 731.2.j.a.509.13 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.04963 | −1.44931 | −0.724654 | − | 0.689113i | \(-0.758001\pi\) | ||||
−0.724654 | + | 0.689113i | \(0.758001\pi\) | |||||||
\(3\) | −1.14468 | − | 0.660879i | −0.660879 | − | 0.381559i | 0.131733 | − | 0.991285i | \(-0.457946\pi\) |
−0.792612 | + | 0.609727i | \(0.791279\pi\) | |||||||
\(4\) | 2.20099 | 1.10050 | ||||||||
\(5\) | −1.07261 | − | 0.619273i | −0.479687 | − | 0.276947i | 0.240599 | − | 0.970625i | \(-0.422656\pi\) |
−0.720286 | + | 0.693677i | \(0.755989\pi\) | |||||||
\(6\) | 2.34616 | + | 1.35456i | 0.957818 | + | 0.552996i | ||||
\(7\) | 0.325723 | − | 0.188056i | 0.123112 | − | 0.0710786i | −0.437180 | − | 0.899374i | \(-0.644023\pi\) |
0.560291 | + | 0.828296i | \(0.310689\pi\) | |||||||
\(8\) | −0.411958 | −0.145649 | ||||||||
\(9\) | −0.626478 | − | 1.08509i | −0.208826 | − | 0.361697i | ||||
\(10\) | 2.19846 | + | 1.26928i | 0.695215 | + | 0.401382i | ||||
\(11\) | 3.21595i | 0.969645i | 0.874612 | + | 0.484823i | \(0.161116\pi\) | ||||
−0.874612 | + | 0.484823i | \(0.838884\pi\) | |||||||
\(12\) | −2.51942 | − | 1.45459i | −0.727295 | − | 0.419904i | ||||
\(13\) | −1.51925 | − | 2.63143i | −0.421365 | − | 0.729826i | 0.574708 | − | 0.818359i | \(-0.305116\pi\) |
−0.996073 | + | 0.0885322i | \(0.971782\pi\) | |||||||
\(14\) | −0.667612 | + | 0.385446i | −0.178427 | + | 0.103015i | ||||
\(15\) | 0.818530 | + | 1.41773i | 0.211343 | + | 0.366058i | ||||
\(16\) | −3.55762 | −0.889405 | ||||||||
\(17\) | 1.69471 | − | 3.75872i | 0.411028 | − | 0.911623i | ||||
\(18\) | 1.28405 | + | 2.22404i | 0.302653 | + | 0.524211i | ||||
\(19\) | 2.17636 | − | 3.76957i | 0.499292 | − | 0.864799i | −0.500708 | − | 0.865616i | \(-0.666927\pi\) |
1.00000 | 0.000817420i | \(0.000260193\pi\) | ||||||||
\(20\) | −2.36081 | − | 1.36302i | −0.527893 | − | 0.304779i | ||||
\(21\) | −0.497130 | −0.108483 | ||||||||
\(22\) | − | 6.59151i | − | 1.40532i | ||||||
\(23\) | 6.19848 | + | 3.57870i | 1.29247 | + | 0.746210i | 0.979092 | − | 0.203418i | \(-0.0652050\pi\) |
0.313381 | + | 0.949627i | \(0.398538\pi\) | |||||||
\(24\) | 0.471559 | + | 0.272254i | 0.0962565 | + | 0.0555737i | ||||
\(25\) | −1.73300 | − | 3.00165i | −0.346600 | − | 0.600329i | ||||
\(26\) | 3.11391 | + | 5.39346i | 0.610689 | + | 1.05774i | ||||
\(27\) | 5.62138i | 1.08183i | ||||||||
\(28\) | 0.716913 | − | 0.413910i | 0.135484 | − | 0.0782217i | ||||
\(29\) | 2.12867 | − | 1.22899i | 0.395283 | − | 0.228217i | −0.289163 | − | 0.957280i | \(-0.593377\pi\) |
0.684447 | + | 0.729063i | \(0.260044\pi\) | |||||||
\(30\) | −1.67768 | − | 2.90583i | −0.306302 | − | 0.530530i | ||||
\(31\) | −4.76401 | − | 2.75050i | −0.855641 | − | 0.494005i | 0.00690913 | − | 0.999976i | \(-0.497801\pi\) |
−0.862550 | + | 0.505972i | \(0.831134\pi\) | |||||||
\(32\) | 8.11573 | 1.43467 | ||||||||
\(33\) | 2.12535 | − | 3.68122i | 0.369977 | − | 0.640818i | ||||
\(34\) | −3.47353 | + | 7.70399i | −0.595706 | + | 1.32122i | ||||
\(35\) | −0.465833 | −0.0787401 | ||||||||
\(36\) | −1.37887 | − | 2.38828i | −0.229812 | − | 0.398046i | ||||
\(37\) | −0.0633372 | − | 0.0365677i | −0.0104126 | − | 0.00601170i | 0.494785 | − | 0.869016i | \(-0.335247\pi\) |
−0.505197 | + | 0.863004i | \(0.668580\pi\) | |||||||
\(38\) | −4.46074 | + | 7.72623i | −0.723628 | + | 1.25336i | ||||
\(39\) | 4.01618i | 0.643103i | ||||||||
\(40\) | 0.441871 | + | 0.255115i | 0.0698660 | + | 0.0403372i | ||||
\(41\) | − | 4.40087i | − | 0.687301i | −0.939098 | − | 0.343650i | \(-0.888337\pi\) | ||
0.939098 | − | 0.343650i | \(-0.111663\pi\) | |||||||
\(42\) | 1.01893 | 0.157225 | ||||||||
\(43\) | −6.23169 | + | 2.04110i | −0.950323 | + | 0.311264i | ||||
\(44\) | 7.07828i | 1.06709i | ||||||||
\(45\) | 1.55184i | 0.231335i | ||||||||
\(46\) | −12.7046 | − | 7.33501i | −1.87319 | − | 1.08149i | ||||
\(47\) | 1.26040 | 0.183848 | 0.0919240 | − | 0.995766i | \(-0.470698\pi\) | ||||
0.0919240 | + | 0.995766i | \(0.470698\pi\) | |||||||
\(48\) | 4.07232 | + | 2.35116i | 0.587789 | + | 0.339360i | ||||
\(49\) | −3.42927 | + | 5.93967i | −0.489896 | + | 0.848524i | ||||
\(50\) | 3.55201 | + | 6.15227i | 0.502331 | + | 0.870062i | ||||
\(51\) | −4.42395 | + | 3.18251i | −0.619477 | + | 0.445641i | ||||
\(52\) | −3.34387 | − | 5.79175i | −0.463711 | − | 0.803171i | ||||
\(53\) | −0.0597063 | + | 0.103414i | −0.00820129 | + | 0.0142050i | −0.870097 | − | 0.492881i | \(-0.835944\pi\) |
0.861896 | + | 0.507086i | \(0.169277\pi\) | |||||||
\(54\) | − | 11.5218i | − | 1.56791i | ||||||
\(55\) | 1.99155 | − | 3.44947i | 0.268541 | − | 0.465126i | ||||
\(56\) | −0.134184 | + | 0.0774713i | −0.0179311 | + | 0.0103525i | ||||
\(57\) | −4.98246 | + | 2.87663i | −0.659943 | + | 0.381018i | ||||
\(58\) | −4.36298 | + | 2.51897i | −0.572888 | + | 0.330757i | ||||
\(59\) | −6.51628 | −0.848348 | −0.424174 | − | 0.905581i | \(-0.639435\pi\) | ||||
−0.424174 | + | 0.905581i | \(0.639435\pi\) | |||||||
\(60\) | 1.80158 | + | 3.12042i | 0.232582 | + | 0.402845i | ||||
\(61\) | −9.01943 | + | 5.20737i | −1.15482 | + | 0.666735i | −0.950057 | − | 0.312077i | \(-0.898975\pi\) |
−0.204762 | + | 0.978812i | \(0.565642\pi\) | |||||||
\(62\) | 9.76446 | + | 5.63752i | 1.24009 | + | 0.715965i | ||||
\(63\) | −0.408116 | − | 0.235626i | −0.0514178 | − | 0.0296861i | ||||
\(64\) | −9.51902 | −1.18988 | ||||||||
\(65\) | 3.76334i | 0.466784i | ||||||||
\(66\) | −4.35619 | + | 7.54515i | −0.536210 | + | 0.928744i | ||||
\(67\) | 5.84305 | − | 10.1205i | 0.713842 | − | 1.23641i | −0.249563 | − | 0.968359i | \(-0.580287\pi\) |
0.963405 | − | 0.268052i | \(-0.0863798\pi\) | |||||||
\(68\) | 3.73004 | − | 8.27290i | 0.452334 | − | 1.00324i | ||||
\(69\) | −4.73017 | − | 8.19290i | −0.569446 | − | 0.986309i | ||||
\(70\) | 0.954786 | 0.114119 | ||||||||
\(71\) | −6.83335 | + | 3.94524i | −0.810969 | + | 0.468213i | −0.847292 | − | 0.531127i | \(-0.821769\pi\) |
0.0363230 | + | 0.999340i | \(0.488435\pi\) | |||||||
\(72\) | 0.258083 | + | 0.447012i | 0.0304153 | + | 0.0526809i | ||||
\(73\) | −8.42147 | + | 4.86214i | −0.985658 | + | 0.569070i | −0.903974 | − | 0.427588i | \(-0.859363\pi\) |
−0.0816845 | + | 0.996658i | \(0.526030\pi\) | |||||||
\(74\) | 0.129818 | + | 0.0749504i | 0.0150910 | + | 0.00871280i | ||||
\(75\) | 4.58122i | 0.528993i | ||||||||
\(76\) | 4.79016 | − | 8.29679i | 0.549469 | − | 0.951707i | ||||
\(77\) | 0.604779 | + | 1.04751i | 0.0689210 | + | 0.119375i | ||||
\(78\) | − | 8.23168i | − | 0.932054i | ||||||
\(79\) | −3.72882 | + | 2.15284i | −0.419525 | + | 0.242213i | −0.694874 | − | 0.719131i | \(-0.744540\pi\) |
0.275349 | + | 0.961344i | \(0.411207\pi\) | |||||||
\(80\) | 3.81595 | + | 2.20314i | 0.426636 | + | 0.246318i | ||||
\(81\) | 1.83562 | − | 3.17938i | 0.203958 | − | 0.353265i | ||||
\(82\) | 9.02017i | 0.996111i | ||||||||
\(83\) | −8.85769 | + | 15.3420i | −0.972257 | + | 1.68400i | −0.283554 | + | 0.958956i | \(0.591513\pi\) |
−0.688704 | + | 0.725043i | \(0.741820\pi\) | |||||||
\(84\) | −1.09418 | −0.119385 | ||||||||
\(85\) | −4.14544 | + | 2.98216i | −0.449636 | + | 0.323461i | ||||
\(86\) | 12.7727 | − | 4.18350i | 1.37731 | − | 0.451118i | ||||
\(87\) | −3.24885 | −0.348313 | ||||||||
\(88\) | − | 1.32484i | − | 0.141228i | ||||||
\(89\) | −2.49935 | + | 4.32901i | −0.264931 | + | 0.458874i | −0.967546 | − | 0.252697i | \(-0.918682\pi\) |
0.702615 | + | 0.711571i | \(0.252016\pi\) | |||||||
\(90\) | − | 3.18071i | − | 0.335276i | ||||||
\(91\) | −0.989712 | − | 0.571411i | −0.103750 | − | 0.0599001i | ||||
\(92\) | 13.6428 | + | 7.87668i | 1.42236 | + | 0.821200i | ||||
\(93\) | 3.63550 | + | 6.29687i | 0.376984 | + | 0.652955i | ||||
\(94\) | −2.58335 | −0.266452 | ||||||||
\(95\) | −4.66879 | + | 2.69553i | −0.479008 | + | 0.276555i | ||||
\(96\) | −9.28988 | − | 5.36351i | −0.948144 | − | 0.547411i | ||||
\(97\) | 13.4689i | 1.36756i | 0.729688 | + | 0.683780i | \(0.239665\pi\) | ||||
−0.729688 | + | 0.683780i | \(0.760335\pi\) | |||||||
\(98\) | 7.02874 | − | 12.1741i | 0.710010 | − | 1.22977i | ||||
\(99\) | 3.48960 | − | 2.01472i | 0.350718 | − | 0.202487i | ||||
\(100\) | −3.81432 | − | 6.60660i | −0.381432 | − | 0.660660i | ||||
\(101\) | −8.58843 | − | 14.8756i | −0.854581 | − | 1.48018i | −0.877033 | − | 0.480430i | \(-0.840481\pi\) |
0.0224525 | − | 0.999748i | \(-0.492853\pi\) | |||||||
\(102\) | 9.06748 | − | 6.52298i | 0.897814 | − | 0.645872i | ||||
\(103\) | −5.49172 | − | 9.51193i | −0.541115 | − | 0.937239i | −0.998840 | − | 0.0481451i | \(-0.984669\pi\) |
0.457725 | − | 0.889094i | \(-0.348664\pi\) | |||||||
\(104\) | 0.625869 | + | 1.08404i | 0.0613715 | + | 0.106299i | ||||
\(105\) | 0.533228 | + | 0.307859i | 0.0520377 | + | 0.0300440i | ||||
\(106\) | 0.122376 | − | 0.211961i | 0.0118862 | − | 0.0205875i | ||||
\(107\) | − | 5.14270i | − | 0.497163i | −0.968611 | − | 0.248582i | \(-0.920036\pi\) | ||
0.968611 | − | 0.248582i | \(-0.0799644\pi\) | |||||||
\(108\) | 12.3726i | 1.19055i | ||||||||
\(109\) | −12.1557 | − | 7.01809i | −1.16430 | − | 0.672211i | −0.211972 | − | 0.977276i | \(-0.567989\pi\) |
−0.952332 | + | 0.305064i | \(0.901322\pi\) | |||||||
\(110\) | −4.08195 | + | 7.07014i | −0.389199 | + | 0.674112i | ||||
\(111\) | 0.0483337 | + | 0.0837164i | 0.00458763 | + | 0.00794601i | ||||
\(112\) | −1.15880 | + | 0.669033i | −0.109496 | + | 0.0632176i | ||||
\(113\) | 10.9538i | 1.03044i | 0.857057 | + | 0.515221i | \(0.172290\pi\) | ||||
−0.857057 | + | 0.515221i | \(0.827710\pi\) | |||||||
\(114\) | 10.2122 | − | 5.89602i | 0.956461 | − | 0.552213i | ||||
\(115\) | −4.43238 | − | 7.67711i | −0.413322 | − | 0.715894i | ||||
\(116\) | 4.68518 | − | 2.70499i | 0.435008 | − | 0.251152i | ||||
\(117\) | −1.90356 | + | 3.29706i | −0.175984 | + | 0.304813i | ||||
\(118\) | 13.3560 | 1.22952 | ||||||||
\(119\) | −0.154844 | − | 1.54300i | −0.0141945 | − | 0.141447i | ||||
\(120\) | −0.337200 | − | 0.584047i | −0.0307820 | − | 0.0533160i | ||||
\(121\) | 0.657665 | 0.0597878 | ||||||||
\(122\) | 18.4865 | − | 10.6732i | 1.67369 | − | 0.966305i | ||||
\(123\) | −2.90844 | + | 5.03757i | −0.262246 | + | 0.454223i | ||||
\(124\) | −10.4855 | − | 6.05383i | −0.941629 | − | 0.543650i | ||||
\(125\) | 10.4855i | 0.937855i | ||||||||
\(126\) | 0.836488 | + | 0.482947i | 0.0745203 | + | 0.0430243i | ||||
\(127\) | 11.9806 | 1.06311 | 0.531555 | − | 0.847024i | \(-0.321608\pi\) | ||||
0.531555 | + | 0.847024i | \(0.321608\pi\) | |||||||
\(128\) | 3.27902 | 0.289827 | ||||||||
\(129\) | 8.48218 | + | 1.78200i | 0.746814 | + | 0.156896i | ||||
\(130\) | − | 7.71345i | − | 0.676515i | ||||||
\(131\) | − | 11.1928i | − | 0.977924i | −0.872305 | − | 0.488962i | \(-0.837376\pi\) | ||
0.872305 | − | 0.488962i | \(-0.162624\pi\) | |||||||
\(132\) | 4.67789 | − | 8.10234i | 0.407158 | − | 0.705218i | ||||
\(133\) | − | 1.63711i | − | 0.141956i | ||||||
\(134\) | −11.9761 | + | 20.7432i | −1.03458 | + | 1.79194i | ||||
\(135\) | 3.48117 | − | 6.02956i | 0.299611 | − | 0.518942i | ||||
\(136\) | −0.698150 | + | 1.54843i | −0.0598659 | + | 0.132777i | ||||
\(137\) | 0.0782270 | 0.00668339 | 0.00334169 | − | 0.999994i | \(-0.498936\pi\) | ||||
0.00334169 | + | 0.999994i | \(0.498936\pi\) | |||||||
\(138\) | 9.69511 | + | 16.7924i | 0.825302 | + | 1.42947i | ||||
\(139\) | −10.4665 | − | 6.04283i | −0.887755 | − | 0.512546i | −0.0145478 | − | 0.999894i | \(-0.504631\pi\) |
−0.873208 | + | 0.487348i | \(0.837964\pi\) | |||||||
\(140\) | −1.02529 | −0.0866531 | ||||||||
\(141\) | −1.44275 | − | 0.832971i | −0.121501 | − | 0.0701488i | ||||
\(142\) | 14.0059 | − | 8.08628i | 1.17534 | − | 0.678586i | ||||
\(143\) | 8.46254 | − | 4.88585i | 0.707673 | − | 0.408575i | ||||
\(144\) | 2.22877 | + | 3.86034i | 0.185731 | + | 0.321695i | ||||
\(145\) | −3.04431 | −0.252816 | ||||||||
\(146\) | 17.2609 | − | 9.96559i | 1.42852 | − | 0.824758i | ||||
\(147\) | 7.85081 | − | 4.53267i | 0.647524 | − | 0.373848i | ||||
\(148\) | −0.139405 | − | 0.0804852i | −0.0114590 | − | 0.00661585i | ||||
\(149\) | −4.80098 | + | 8.31555i | −0.393312 | + | 0.681236i | −0.992884 | − | 0.119085i | \(-0.962004\pi\) |
0.599572 | + | 0.800321i | \(0.295337\pi\) | |||||||
\(150\) | − | 9.38981i | − | 0.766675i | ||||||
\(151\) | 15.3351 | 1.24796 | 0.623978 | − | 0.781442i | \(-0.285515\pi\) | ||||
0.623978 | + | 0.781442i | \(0.285515\pi\) | |||||||
\(152\) | −0.896570 | + | 1.55291i | −0.0727215 | + | 0.125957i | ||||
\(153\) | −5.14025 | + | 0.515837i | −0.415565 | + | 0.0417029i | ||||
\(154\) | −1.23958 | − | 2.14701i | −0.0998878 | − | 0.173011i | ||||
\(155\) | 3.40662 | + | 5.90045i | 0.273627 | + | 0.473935i | ||||
\(156\) | 8.83957i | 0.707732i | ||||||||
\(157\) | 6.67036 | + | 11.5534i | 0.532352 | + | 0.922062i | 0.999286 | + | 0.0377693i | \(0.0120252\pi\) |
−0.466934 | + | 0.884292i | \(0.654641\pi\) | |||||||
\(158\) | 7.64271 | − | 4.41252i | 0.608022 | − | 0.351041i | ||||
\(159\) | 0.136689 | − | 0.0789173i | 0.0108401 | − | 0.00625855i | ||||
\(160\) | −8.70503 | − | 5.02585i | −0.688193 | − | 0.397329i | ||||
\(161\) | 2.69198 | 0.212158 | ||||||||
\(162\) | −3.76234 | + | 6.51657i | −0.295598 | + | 0.511990i | ||||
\(163\) | 14.4359 | − | 8.33457i | 1.13071 | − | 0.652814i | 0.186595 | − | 0.982437i | \(-0.440255\pi\) |
0.944113 | + | 0.329623i | \(0.106922\pi\) | |||||||
\(164\) | − | 9.68628i | − | 0.756371i | ||||||
\(165\) | −4.55936 | + | 2.63235i | −0.354946 | + | 0.204928i | ||||
\(166\) | 18.1550 | − | 31.4454i | 1.40910 | − | 2.44063i | ||||
\(167\) | 10.1806 | + | 5.87776i | 0.787797 | + | 0.454835i | 0.839186 | − | 0.543844i | \(-0.183032\pi\) |
−0.0513896 | + | 0.998679i | \(0.516365\pi\) | |||||||
\(168\) | 0.204797 | 0.0158004 | ||||||||
\(169\) | 1.88373 | − | 3.26272i | 0.144902 | − | 0.250978i | ||||
\(170\) | 8.49663 | − | 6.11233i | 0.651662 | − | 0.468794i | ||||
\(171\) | −5.45377 | −0.417060 | ||||||||
\(172\) | −13.7159 | + | 4.49244i | −1.04583 | + | 0.342545i | ||||
\(173\) | − | 6.07931i | − | 0.462201i | −0.972930 | − | 0.231101i | \(-0.925767\pi\) | ||
0.972930 | − | 0.231101i | \(-0.0742326\pi\) | |||||||
\(174\) | 6.65894 | 0.504813 | ||||||||
\(175\) | −1.12896 | − | 0.651803i | −0.0853411 | − | 0.0492717i | ||||
\(176\) | − | 11.4411i | − | 0.862407i | ||||||
\(177\) | 7.45903 | + | 4.30647i | 0.560655 | + | 0.323694i | ||||
\(178\) | 5.12275 | − | 8.87287i | 0.383967 | − | 0.665050i | ||||
\(179\) | 8.56881 | + | 14.8416i | 0.640463 | + | 1.10931i | 0.985330 | + | 0.170663i | \(0.0545908\pi\) |
−0.344867 | + | 0.938652i | \(0.612076\pi\) | |||||||
\(180\) | 3.41559i | 0.254583i | ||||||||
\(181\) | −7.38275 | + | 4.26244i | −0.548756 | + | 0.316824i | −0.748620 | − | 0.662999i | \(-0.769283\pi\) |
0.199864 | + | 0.979824i | \(0.435950\pi\) | |||||||
\(182\) | 2.02855 | + | 1.17118i | 0.150366 | + | 0.0868138i | ||||
\(183\) | 13.7658 | 1.01759 | ||||||||
\(184\) | −2.55351 | − | 1.47427i | −0.188248 | − | 0.108685i | ||||
\(185\) | 0.0452908 | + | 0.0784460i | 0.00332985 | + | 0.00576747i | ||||
\(186\) | −7.45143 | − | 12.9063i | −0.546365 | − | 0.946333i | ||||
\(187\) | 12.0878 | + | 5.45011i | 0.883951 | + | 0.398551i | ||||
\(188\) | 2.77412 | 0.202324 | ||||||||
\(189\) | 1.05714 | + | 1.83101i | 0.0768953 | + | 0.133187i | ||||
\(190\) | 9.56930 | − | 5.52484i | 0.694230 | − | 0.400814i | ||||
\(191\) | −6.53911 | + | 11.3261i | −0.473154 | + | 0.819526i | −0.999528 | − | 0.0307268i | \(-0.990218\pi\) |
0.526374 | + | 0.850253i | \(0.323551\pi\) | |||||||
\(192\) | 10.8962 | + | 6.29092i | 0.786365 | + | 0.454008i | ||||
\(193\) | − | 23.8529i | − | 1.71697i | −0.512841 | − | 0.858484i | \(-0.671407\pi\) | ||
0.512841 | − | 0.858484i | \(-0.328593\pi\) | |||||||
\(194\) | − | 27.6063i | − | 1.98202i | ||||||
\(195\) | 2.48711 | − | 4.30780i | 0.178106 | − | 0.308488i | ||||
\(196\) | −7.54779 | + | 13.0732i | −0.539128 | + | 0.933797i | ||||
\(197\) | −10.8322 | + | 6.25395i | −0.771760 | + | 0.445576i | −0.833502 | − | 0.552517i | \(-0.813668\pi\) |
0.0617424 | + | 0.998092i | \(0.480334\pi\) | |||||||
\(198\) | −7.15239 | + | 4.12944i | −0.508298 | + | 0.293466i | ||||
\(199\) | − | 21.7920i | − | 1.54480i | −0.635139 | − | 0.772398i | \(-0.719057\pi\) | ||
0.635139 | − | 0.772398i | \(-0.280943\pi\) | |||||||
\(200\) | 0.713924 | + | 1.23655i | 0.0504820 | + | 0.0874375i | ||||
\(201\) | −13.3768 | + | 7.72310i | −0.943526 | + | 0.544745i | ||||
\(202\) | 17.6031 | + | 30.4895i | 1.23855 | + | 2.14523i | ||||
\(203\) | 0.462237 | − | 0.800618i | 0.0324427 | − | 0.0561924i | ||||
\(204\) | −9.73708 | + | 7.00469i | −0.681732 | + | 0.490426i | ||||
\(205\) | −2.72534 | + | 4.72043i | −0.190346 | + | 0.329689i | ||||
\(206\) | 11.2560 | + | 19.4960i | 0.784243 | + | 1.35835i | ||||
\(207\) | − | 8.96789i | − | 0.623312i | ||||||
\(208\) | 5.40493 | + | 9.36162i | 0.374765 | + | 0.649111i | ||||
\(209\) | 12.1228 | + | 6.99907i | 0.838548 | + | 0.484136i | ||||
\(210\) | −1.09292 | − | 0.630998i | −0.0754187 | − | 0.0435430i | ||||
\(211\) | 28.1289i | 1.93647i | 0.250040 | + | 0.968235i | \(0.419556\pi\) | ||||
−0.250040 | + | 0.968235i | \(0.580444\pi\) | |||||||
\(212\) | −0.131413 | + | 0.227614i | −0.00902548 | + | 0.0156326i | ||||
\(213\) | 10.4293 | 0.714604 | ||||||||
\(214\) | 10.5406i | 0.720543i | ||||||||
\(215\) | 7.94818 | + | 1.66981i | 0.542062 | + | 0.113880i | ||||
\(216\) | − | 2.31577i | − | 0.157568i | ||||||
\(217\) | −2.06900 | −0.140453 | ||||||||
\(218\) | 24.9147 | + | 14.3845i | 1.68744 | + | 0.974242i | ||||
\(219\) | 12.8531 | 0.868534 | ||||||||
\(220\) | 4.38339 | − | 7.59225i | 0.295528 | − | 0.511869i | ||||
\(221\) | −12.4655 | + | 1.25094i | −0.838519 | + | 0.0841475i | ||||
\(222\) | −0.0990663 | − | 0.171588i | −0.00664889 | − | 0.0115162i | ||||
\(223\) | −13.1603 | −0.881278 | −0.440639 | − | 0.897684i | \(-0.645248\pi\) | ||||
−0.440639 | + | 0.897684i | \(0.645248\pi\) | |||||||
\(224\) | 2.64348 | − | 1.52621i | 0.176625 | − | 0.101974i | ||||
\(225\) | −2.17137 | + | 3.76093i | −0.144758 | + | 0.250729i | ||||
\(226\) | − | 22.4512i | − | 1.49343i | ||||||
\(227\) | −23.5426 | − | 13.5923i | −1.56258 | − | 0.902153i | −0.996995 | − | 0.0774598i | \(-0.975319\pi\) |
−0.565580 | − | 0.824693i | \(-0.691348\pi\) | |||||||
\(228\) | −10.9664 | + | 6.33143i | −0.726265 | + | 0.419309i | ||||
\(229\) | −14.5518 | − | 25.2045i | −0.961613 | − | 1.66556i | −0.718452 | − | 0.695576i | \(-0.755149\pi\) |
−0.243161 | − | 0.969986i | \(-0.578184\pi\) | |||||||
\(230\) | 9.08475 | + | 15.7352i | 0.599031 | + | 1.03755i | ||||
\(231\) | − | 1.59874i | − | 0.105190i | ||||||
\(232\) | −0.876921 | + | 0.506291i | −0.0575727 | + | 0.0332396i | ||||
\(233\) | 1.62790 | − | 0.939871i | 0.106648 | − | 0.0615730i | −0.445728 | − | 0.895169i | \(-0.647055\pi\) |
0.552375 | + | 0.833596i | \(0.313722\pi\) | |||||||
\(234\) | 3.90159 | − | 6.75776i | 0.255055 | − | 0.441769i | ||||
\(235\) | −1.35192 | − | 0.780531i | −0.0881895 | − | 0.0509162i | ||||
\(236\) | −14.3423 | −0.933603 | ||||||||
\(237\) | 5.69106 | 0.369674 | ||||||||
\(238\) | 0.317373 | + | 3.16258i | 0.0205722 | + | 0.205000i | ||||
\(239\) | 7.35673 | − | 12.7422i | 0.475867 | − | 0.824226i | −0.523751 | − | 0.851872i | \(-0.675468\pi\) |
0.999618 | + | 0.0276455i | \(0.00880095\pi\) | |||||||
\(240\) | −2.91202 | − | 5.04376i | −0.187970 | − | 0.325573i | ||||
\(241\) | −8.24038 | + | 4.75758i | −0.530809 | + | 0.306463i | −0.741346 | − | 0.671123i | \(-0.765812\pi\) |
0.210537 | + | 0.977586i | \(0.432479\pi\) | |||||||
\(242\) | −1.34797 | −0.0866509 | ||||||||
\(243\) | 10.4024 | − | 6.00582i | 0.667314 | − | 0.385274i | ||||
\(244\) | −19.8517 | + | 11.4614i | −1.27087 | + | 0.733739i | ||||
\(245\) | 7.35656 | − | 4.24731i | 0.469993 | − | 0.271351i | ||||
\(246\) | 5.96124 | − | 10.3252i | 0.380075 | − | 0.658309i | ||||
\(247\) | −13.2258 | −0.841538 | ||||||||
\(248\) | 1.96257 | + | 1.13309i | 0.124623 | + | 0.0719514i | ||||
\(249\) | 20.2784 | − | 11.7077i | 1.28509 | − | 0.741947i | ||||
\(250\) | − | 21.4915i | − | 1.35924i | ||||||
\(251\) | −3.29683 | − | 5.71027i | −0.208094 | − | 0.360429i | 0.743020 | − | 0.669269i | \(-0.233393\pi\) |
−0.951114 | + | 0.308840i | \(0.900059\pi\) | |||||||
\(252\) | −0.898260 | − | 0.518611i | −0.0565851 | − | 0.0326694i | ||||
\(253\) | −11.5089 | + | 19.9340i | −0.723559 | + | 1.25324i | ||||
\(254\) | −24.5559 | −1.54077 | ||||||||
\(255\) | 6.71603 | − | 0.673970i | 0.420574 | − | 0.0422057i | ||||
\(256\) | 12.3172 | 0.769828 | ||||||||
\(257\) | −3.83620 | −0.239295 | −0.119648 | − | 0.992816i | \(-0.538177\pi\) | ||||
−0.119648 | + | 0.992816i | \(0.538177\pi\) | |||||||
\(258\) | −17.3854 | − | 3.65244i | −1.08236 | − | 0.227391i | ||||
\(259\) | −0.0275072 | −0.00170921 | ||||||||
\(260\) | 8.28307i | 0.513694i | ||||||||
\(261\) | −2.66712 | − | 1.53986i | −0.165091 | − | 0.0953152i | ||||
\(262\) | 22.9412i | 1.41731i | ||||||||
\(263\) | 1.12700 | − | 1.95202i | 0.0694938 | − | 0.120367i | −0.829185 | − | 0.558975i | \(-0.811195\pi\) |
0.898679 | + | 0.438608i | \(0.144528\pi\) | |||||||
\(264\) | −0.875557 | + | 1.51651i | −0.0538868 | + | 0.0933347i | ||||
\(265\) | 0.128083 | − | 0.0739490i | 0.00786810 | − | 0.00454265i | ||||
\(266\) | 3.35548i | 0.205738i | ||||||||
\(267\) | 5.72190 | − | 3.30354i | 0.350175 | − | 0.202173i | ||||
\(268\) | 12.8605 | − | 22.2750i | 0.785580 | − | 1.36066i | ||||
\(269\) | 19.6404i | 1.19749i | 0.800938 | + | 0.598747i | \(0.204335\pi\) | ||||
−0.800938 | + | 0.598747i | \(0.795665\pi\) | |||||||
\(270\) | −7.13512 | + | 12.3584i | −0.434229 | + | 0.752107i | ||||
\(271\) | −11.0573 | − | 19.1519i | −0.671685 | − | 1.16339i | −0.977426 | − | 0.211278i | \(-0.932238\pi\) |
0.305741 | − | 0.952115i | \(-0.401096\pi\) | |||||||
\(272\) | −6.02914 | + | 13.3721i | −0.365570 | + | 0.810802i | ||||
\(273\) | 0.755267 | + | 1.30816i | 0.0457108 | + | 0.0791735i | ||||
\(274\) | −0.160337 | −0.00968629 | ||||||||
\(275\) | 9.65314 | − | 5.57325i | 0.582106 | − | 0.336079i | ||||
\(276\) | −10.4111 | − | 18.0325i | −0.626672 | − | 1.08543i | ||||
\(277\) | 13.5522 | + | 7.82434i | 0.814270 | + | 0.470119i | 0.848437 | − | 0.529297i | \(-0.177544\pi\) |
−0.0341663 | + | 0.999416i | \(0.510878\pi\) | |||||||
\(278\) | 21.4524 | + | 12.3856i | 1.28663 | + | 0.742837i | ||||
\(279\) | 6.89251i | 0.412644i | ||||||||
\(280\) | 0.191904 | 0.0114684 | ||||||||
\(281\) | 12.7626 | − | 22.1055i | 0.761355 | − | 1.31871i | −0.180797 | − | 0.983520i | \(-0.557868\pi\) |
0.942152 | − | 0.335186i | \(-0.108799\pi\) | |||||||
\(282\) | 2.95710 | + | 1.70728i | 0.176093 | + | 0.101667i | ||||
\(283\) | −1.41447 | + | 0.816646i | −0.0840816 | + | 0.0485445i | −0.541451 | − | 0.840732i | \(-0.682125\pi\) |
0.457370 | + | 0.889277i | \(0.348792\pi\) | |||||||
\(284\) | −15.0401 | + | 8.68343i | −0.892468 | + | 0.515267i | ||||
\(285\) | 7.12567 | 0.422088 | ||||||||
\(286\) | −17.3451 | + | 10.0142i | −1.02564 | + | 0.592151i | ||||
\(287\) | −0.827611 | − | 1.43346i | −0.0488523 | − | 0.0846147i | ||||
\(288\) | −5.08432 | − | 8.80630i | −0.299597 | − | 0.518916i | ||||
\(289\) | −11.2559 | − | 12.7399i | −0.662112 | − | 0.749405i | ||||
\(290\) | 6.23972 | 0.366409 | ||||||||
\(291\) | 8.90132 | − | 15.4175i | 0.521804 | − | 0.903792i | ||||
\(292\) | −18.5356 | + | 10.7015i | −1.08471 | + | 0.626259i | ||||
\(293\) | −5.50109 | −0.321377 | −0.160688 | − | 0.987005i | \(-0.551371\pi\) | ||||
−0.160688 | + | 0.987005i | \(0.551371\pi\) | |||||||
\(294\) | −16.0913 | + | 9.29030i | −0.938462 | + | 0.541821i | ||||
\(295\) | 6.98945 | + | 4.03536i | 0.406941 | + | 0.234948i | ||||
\(296\) | 0.0260922 | + | 0.0150644i | 0.00151658 | + | 0.000875599i | ||||
\(297\) | −18.0781 | −1.04900 | ||||||||
\(298\) | 9.84025 | − | 17.0438i | 0.570030 | − | 0.987321i | ||||
\(299\) | − | 21.7478i | − | 1.25771i | ||||||
\(300\) | 10.0832i | 0.582155i | ||||||||
\(301\) | −1.64596 | + | 1.83674i | −0.0948717 | + | 0.105868i | ||||
\(302\) | −31.4314 | −1.80867 | ||||||||
\(303\) | 22.7037i | 1.30429i | ||||||||
\(304\) | −7.74267 | + | 13.4107i | −0.444073 | + | 0.769157i | ||||
\(305\) | 12.8991 | 0.738602 | ||||||||
\(306\) | 10.5356 | − | 1.05728i | 0.602281 | − | 0.0604404i | ||||
\(307\) | −15.3065 | + | 26.5116i | −0.873587 | + | 1.51310i | −0.0153261 | + | 0.999883i | \(0.504879\pi\) |
−0.858261 | + | 0.513214i | \(0.828455\pi\) | |||||||
\(308\) | 1.33111 | + | 2.30556i | 0.0758473 | + | 0.131371i | ||||
\(309\) | 14.5174i | 0.825869i | ||||||||
\(310\) | −6.98232 | − | 12.0937i | −0.396569 | − | 0.686878i | ||||
\(311\) | −27.8979 | − | 16.1069i | −1.58194 | − | 0.913336i | −0.994576 | − | 0.104016i | \(-0.966831\pi\) |
−0.587369 | − | 0.809320i | \(-0.699836\pi\) | |||||||
\(312\) | − | 1.65450i | − | 0.0936674i | ||||||
\(313\) | −2.01012 | − | 1.16054i | −0.113619 | − | 0.0655978i | 0.442114 | − | 0.896959i | \(-0.354229\pi\) |
−0.555732 | + | 0.831361i | \(0.687562\pi\) | |||||||
\(314\) | −13.6718 | − | 23.6802i | −0.771543 | − | 1.33635i | ||||
\(315\) | 0.291834 | + | 0.505471i | 0.0164430 | + | 0.0284801i | ||||
\(316\) | −8.20710 | + | 4.73837i | −0.461686 | + | 0.266554i | ||||
\(317\) | 22.8348i | 1.28253i | 0.767318 | + | 0.641266i | \(0.221591\pi\) | ||||
−0.767318 | + | 0.641266i | \(0.778409\pi\) | |||||||
\(318\) | −0.280162 | + | 0.161751i | −0.0157107 | + | 0.00907056i | ||||
\(319\) | 3.95236 | + | 6.84569i | 0.221290 | + | 0.383285i | ||||
\(320\) | 10.2102 | + | 5.89487i | 0.570769 | + | 0.329533i | ||||
\(321\) | −3.39870 | + | 5.88672i | −0.189697 | + | 0.328565i | ||||
\(322\) | −5.51758 | −0.307483 | ||||||||
\(323\) | −10.4804 | − | 14.5687i | −0.583148 | − | 0.810622i | ||||
\(324\) | 4.04018 | − | 6.99780i | 0.224454 | − | 0.388767i | ||||
\(325\) | −5.26574 | + | 9.12053i | −0.292091 | + | 0.505916i | ||||
\(326\) | −29.5883 | + | 17.0828i | −1.63874 | + | 0.946129i | ||||
\(327\) | 9.27622 | + | 16.0669i | 0.512976 | + | 0.888501i | ||||
\(328\) | 1.81297i | 0.100105i | ||||||||
\(329\) | 0.410541 | − | 0.237026i | 0.0226338 | − | 0.0130676i | ||||
\(330\) | 9.34502 | − | 5.39535i | 0.514426 | − | 0.297004i | ||||
\(331\) | −5.73060 | − | 9.92569i | −0.314982 | − | 0.545565i | 0.664452 | − | 0.747331i | \(-0.268665\pi\) |
−0.979434 | + | 0.201766i | \(0.935332\pi\) | |||||||
\(332\) | −19.4957 | + | 33.7675i | −1.06996 | + | 1.85323i | ||||
\(333\) | 0.0916354i | 0.00502159i | ||||||||
\(334\) | −20.8664 | − | 12.0472i | −1.14176 | − | 0.659196i | ||||
\(335\) | −12.5347 | + | 7.23689i | −0.684841 | + | 0.395393i | ||||
\(336\) | 1.76860 | 0.0964850 | ||||||||
\(337\) | 19.3232 | − | 11.1562i | 1.05260 | − | 0.607720i | 0.129225 | − | 0.991615i | \(-0.458751\pi\) |
0.923376 | + | 0.383896i | \(0.125418\pi\) | |||||||
\(338\) | −3.86095 | + | 6.68737i | −0.210008 | + | 0.363745i | ||||
\(339\) | 7.23911 | − | 12.5385i | 0.393174 | − | 0.680998i | ||||
\(340\) | −9.12408 | + | 6.56371i | −0.494823 | + | 0.355967i | ||||
\(341\) | 8.84547 | − | 15.3208i | 0.479009 | − | 0.829668i | ||||
\(342\) | 11.1782 | 0.604449 | ||||||||
\(343\) | 5.21237i | 0.281441i | ||||||||
\(344\) | 2.56719 | − | 0.840846i | 0.138414 | − | 0.0453354i | ||||
\(345\) | 11.7171i | 0.630826i | ||||||||
\(346\) | 12.4603i | 0.669872i | ||||||||
\(347\) | 3.39401 | + | 1.95953i | 0.182200 | + | 0.105193i | 0.588326 | − | 0.808624i | \(-0.299787\pi\) |
−0.406126 | + | 0.913817i | \(0.633121\pi\) | |||||||
\(348\) | −7.15068 | −0.383317 | ||||||||
\(349\) | −15.4174 | + | 26.7038i | −0.825277 | + | 1.42942i | 0.0764304 | + | 0.997075i | \(0.475648\pi\) |
−0.901707 | + | 0.432347i | \(0.857686\pi\) | |||||||
\(350\) | 2.31395 | + | 1.33596i | 0.123686 | + | 0.0714099i | ||||
\(351\) | 14.7922 | − | 8.54031i | 0.789552 | − | 0.455848i | ||||
\(352\) | 26.0998i | 1.39112i | ||||||||
\(353\) | −2.56002 | − | 4.43408i | −0.136256 | − | 0.236002i | 0.789821 | − | 0.613338i | \(-0.210174\pi\) |
−0.926077 | + | 0.377336i | \(0.876840\pi\) | |||||||
\(354\) | −15.2883 | − | 8.82669i | −0.812562 | − | 0.469133i | ||||
\(355\) | 9.77272 | 0.518682 | ||||||||
\(356\) | −5.50105 | + | 9.52811i | −0.291555 | + | 0.504989i | ||||
\(357\) | −0.842491 | + | 1.86857i | −0.0445894 | + | 0.0988952i | ||||
\(358\) | −17.5629 | − | 30.4198i | −0.928229 | − | 1.60774i | ||||
\(359\) | 9.01098 | + | 15.6075i | 0.475581 | + | 0.823731i | 0.999609 | − | 0.0279702i | \(-0.00890437\pi\) |
−0.524027 | + | 0.851701i | \(0.675571\pi\) | |||||||
\(360\) | − | 0.639294i | − | 0.0336938i | ||||||
\(361\) | 0.0268877 | + | 0.0465709i | 0.00141514 | + | 0.00245110i | ||||
\(362\) | 15.1319 | − | 8.73642i | 0.795317 | − | 0.459176i | ||||
\(363\) | −0.752814 | − | 0.434637i | −0.0395125 | − | 0.0228125i | ||||
\(364\) | −2.17835 | − | 1.25767i | −0.114176 | − | 0.0659198i | ||||
\(365\) | 12.0440 | 0.630410 | ||||||||
\(366\) | −28.2147 | −1.47481 | ||||||||
\(367\) | 11.1586 | + | 6.44243i | 0.582475 | + | 0.336292i | 0.762117 | − | 0.647440i | \(-0.224160\pi\) |
−0.179641 | + | 0.983732i | \(0.557494\pi\) | |||||||
\(368\) | −22.0518 | − | 12.7316i | −1.14953 | − | 0.663683i | ||||
\(369\) | −4.77535 | + | 2.75705i | −0.248595 | + | 0.143526i | ||||
\(370\) | −0.0928295 | − | 0.160785i | −0.00482598 | − | 0.00835884i | ||||
\(371\) | 0.0449125i | 0.00233174i | ||||||||
\(372\) | 8.00170 | + | 13.8593i | 0.414869 | + | 0.718574i | ||||
\(373\) | −3.70690 | − | 6.42055i | −0.191936 | − | 0.332443i | 0.753956 | − | 0.656925i | \(-0.228143\pi\) |
−0.945892 | + | 0.324482i | \(0.894810\pi\) | |||||||
\(374\) | −24.7756 | − | 11.1707i | −1.28112 | − | 0.577624i | ||||
\(375\) | 6.92967 | − | 12.0025i | 0.357847 | − | 0.619809i | ||||
\(376\) | −0.519231 | −0.0267773 | ||||||||
\(377\) | −6.46797 | − | 3.73429i | −0.333118 | − | 0.192326i | ||||
\(378\) | −2.16674 | − | 3.75290i | −0.111445 | − | 0.193028i | ||||
\(379\) | − | 1.27517i | − | 0.0655009i | −0.999464 | − | 0.0327505i | \(-0.989573\pi\) | ||
0.999464 | − | 0.0327505i | \(-0.0104267\pi\) | |||||||
\(380\) | −10.2760 | + | 5.93283i | −0.527146 | + | 0.304348i | ||||
\(381\) | −13.7139 | − | 7.91775i | −0.702587 | − | 0.405639i | ||||
\(382\) | 13.4028 | − | 23.2143i | 0.685746 | − | 1.18775i | ||||
\(383\) | −1.85413 | −0.0947414 | −0.0473707 | − | 0.998877i | \(-0.515084\pi\) | ||||
−0.0473707 | + | 0.998877i | \(0.515084\pi\) | |||||||
\(384\) | −3.75342 | − | 2.16704i | −0.191541 | − | 0.110586i | ||||
\(385\) | − | 1.49809i | − | 0.0763500i | ||||||
\(386\) | 48.8896i | 2.48842i | ||||||||
\(387\) | 6.11879 | + | 5.48325i | 0.311035 | + | 0.278729i | ||||
\(388\) | 29.6449i | 1.50499i | ||||||||
\(389\) | −2.03125 | −0.102988 | −0.0514942 | − | 0.998673i | \(-0.516398\pi\) | ||||
−0.0514942 | + | 0.998673i | \(0.516398\pi\) | |||||||
\(390\) | −5.09766 | + | 8.82941i | −0.258130 | + | 0.447094i | ||||
\(391\) | 23.9559 | − | 17.2335i | 1.21150 | − | 0.871535i | ||||
\(392\) | 1.41272 | − | 2.44689i | 0.0713529 | − | 0.123587i | ||||
\(393\) | −7.39712 | + | 12.8122i | −0.373135 | + | 0.646289i | ||||
\(394\) | 22.2019 | − | 12.8183i | 1.11852 | − | 0.645777i | ||||
\(395\) | 5.33278 | 0.268321 | ||||||||
\(396\) | 7.68058 | − | 4.43438i | 0.385963 | − | 0.222836i | ||||
\(397\) | −7.03576 | − | 4.06210i | −0.353115 | − | 0.203871i | 0.312942 | − | 0.949772i | \(-0.398686\pi\) |
−0.666056 | + | 0.745902i | \(0.732019\pi\) | |||||||
\(398\) | 44.6657i | 2.23889i | ||||||||
\(399\) | −1.08193 | + | 1.87397i | −0.0541645 | + | 0.0938156i | ||||
\(400\) | 6.16536 | + | 10.6787i | 0.308268 | + | 0.533936i | ||||
\(401\) | −15.1797 | + | 8.76403i | −0.758040 | + | 0.437655i | −0.828592 | − | 0.559854i | \(-0.810857\pi\) |
0.0705516 | + | 0.997508i | \(0.477524\pi\) | |||||||
\(402\) | 27.4175 | − | 15.8295i | 1.36746 | − | 0.789504i | ||||
\(403\) | 16.7148i | 0.832626i | ||||||||
\(404\) | −18.9031 | − | 32.7411i | −0.940462 | − | 1.62893i | ||||
\(405\) | −3.93782 | + | 2.27350i | −0.195672 | + | 0.112971i | ||||
\(406\) | −0.947416 | + | 1.64097i | −0.0470195 | + | 0.0814401i | ||||
\(407\) | 0.117600 | − | 0.203689i | 0.00582921 | − | 0.0100965i | ||||
\(408\) | 1.82248 | − | 1.31106i | 0.0902264 | − | 0.0649073i | ||||
\(409\) | 13.4431 | 0.664721 | 0.332360 | − | 0.943152i | \(-0.392155\pi\) | ||||
0.332360 | + | 0.943152i | \(0.392155\pi\) | |||||||
\(410\) | 5.58595 | − | 9.67515i | 0.275870 | − | 0.477821i | ||||
\(411\) | −0.0895446 | − | 0.0516986i | −0.00441691 | − | 0.00255010i | ||||
\(412\) | −12.0872 | − | 20.9357i | −0.595495 | − | 1.03143i | ||||
\(413\) | −2.12250 | + | 1.22543i | −0.104442 | + | 0.0602993i | ||||
\(414\) | 18.3809i | 0.903371i | ||||||||
\(415\) | 19.0017 | − | 10.9707i | 0.932758 | − | 0.538528i | ||||
\(416\) | −12.3299 | − | 21.3559i | −0.604521 | − | 1.04706i | ||||
\(417\) | 7.98716 | + | 13.8342i | 0.391133 | + | 0.677462i | ||||
\(418\) | −24.8472 | − | 14.3455i | −1.21532 | − | 0.701663i | ||||
\(419\) | 25.5742i | 1.24938i | 0.780871 | + | 0.624692i | \(0.214775\pi\) | ||||
−0.780871 | + | 0.624692i | \(0.785225\pi\) | |||||||
\(420\) | 1.17363 | + | 0.677595i | 0.0572673 | + | 0.0330633i | ||||
\(421\) | −9.03038 | − | 15.6411i | −0.440114 | − | 0.762300i | 0.557583 | − | 0.830121i | \(-0.311729\pi\) |
−0.997698 | + | 0.0678210i | \(0.978395\pi\) | |||||||
\(422\) | − | 57.6538i | − | 2.80654i | ||||||
\(423\) | −0.789611 | − | 1.36765i | −0.0383922 | − | 0.0664973i | ||||
\(424\) | 0.0245965 | − | 0.0426024i | 0.00119451 | − | 0.00206895i | ||||
\(425\) | −14.2193 | + | 1.42694i | −0.689736 | + | 0.0692167i | ||||
\(426\) | −21.3762 | −1.03568 | ||||||||
\(427\) | −1.95856 | + | 3.39232i | −0.0947812 | + | 0.164166i | ||||
\(428\) | − | 11.3190i | − | 0.547126i | ||||||
\(429\) | −12.9158 | −0.623582 | ||||||||
\(430\) | −16.2909 | − | 3.42250i | −0.785615 | − | 0.165048i | ||||
\(431\) | − | 9.91132i | − | 0.477411i | −0.971092 | − | 0.238706i | \(-0.923277\pi\) | ||
0.971092 | − | 0.238706i | \(-0.0767231\pi\) | |||||||
\(432\) | − | 19.9987i | − | 0.962189i | ||||||
\(433\) | 17.3438 | − | 30.0404i | 0.833492 | − | 1.44365i | −0.0617607 | − | 0.998091i | \(-0.519672\pi\) |
0.895253 | − | 0.445559i | \(-0.146995\pi\) | |||||||
\(434\) | 4.24068 | 0.203559 | ||||||||
\(435\) | 3.48475 | + | 2.01192i | 0.167081 | + | 0.0964643i | ||||
\(436\) | −26.7546 | − | 15.4468i | −1.28131 | − | 0.739765i | ||||
\(437\) | 26.9803 | − | 15.5771i | 1.29064 | − | 0.745153i | ||||
\(438\) | −26.3442 | −1.25877 | ||||||||
\(439\) | 13.6387 | − | 7.87429i | 0.650938 | − | 0.375819i | −0.137877 | − | 0.990449i | \(-0.544028\pi\) |
0.788816 | + | 0.614630i | \(0.210695\pi\) | |||||||
\(440\) | −0.820436 | + | 1.42104i | −0.0391127 | + | 0.0677453i | ||||
\(441\) | 8.59344 | 0.409212 | ||||||||
\(442\) | 25.5497 | − | 2.56397i | 1.21527 | − | 0.121956i | ||||
\(443\) | −0.154118 | − | 0.266940i | −0.00732236 | − | 0.0126827i | 0.862341 | − | 0.506328i | \(-0.168997\pi\) |
−0.869663 | + | 0.493645i | \(0.835664\pi\) | |||||||
\(444\) | 0.106382 | + | 0.184259i | 0.00504867 | + | 0.00874455i | ||||
\(445\) | 5.36168 | − | 3.09557i | 0.254168 | − | 0.146744i | ||||
\(446\) | 26.9737 | 1.27724 | ||||||||
\(447\) | 10.9911 | − | 6.34574i | 0.519863 | − | 0.300143i | ||||
\(448\) | −3.10056 | + | 1.79011i | −0.146488 | + | 0.0845748i | ||||
\(449\) | 1.23276 | + | 0.711732i | 0.0581773 | + | 0.0335887i | 0.528807 | − | 0.848742i | \(-0.322640\pi\) |
−0.470629 | + | 0.882331i | \(0.655973\pi\) | |||||||
\(450\) | 4.45052 | − | 7.70852i | 0.209799 | − | 0.363383i | ||||
\(451\) | 14.1530 | 0.666438 | ||||||||
\(452\) | 24.1091i | 1.13400i | ||||||||
\(453\) | −17.5538 | − | 10.1347i | −0.824748 | − | 0.476168i | ||||
\(454\) | 48.2536 | + | 27.8592i | 2.26465 | + | 1.30750i | ||||
\(455\) | 0.707719 | + | 1.22580i | 0.0331784 | + | 0.0574666i | ||||
\(456\) | 2.05257 | − | 1.18505i | 0.0961202 | − | 0.0554950i | ||||
\(457\) | −11.5614 | −0.540822 | −0.270411 | − | 0.962745i | \(-0.587160\pi\) | ||||
−0.270411 | + | 0.962745i | \(0.587160\pi\) | |||||||
\(458\) | 29.8259 | + | 51.6600i | 1.39367 | + | 2.41391i | ||||
\(459\) | 21.1292 | + | 9.52661i | 0.986225 | + | 0.444664i | ||||
\(460\) | −9.75563 | − | 16.8973i | −0.454859 | − | 0.787838i | ||||
\(461\) | −10.8159 | + | 18.7337i | −0.503748 | + | 0.872516i | 0.496243 | + | 0.868184i | \(0.334713\pi\) |
−0.999991 | + | 0.00433277i | \(0.998621\pi\) | |||||||
\(462\) | 3.27684i | 0.152452i | ||||||||
\(463\) | 4.02199 | − | 6.96629i | 0.186918 | − | 0.323751i | −0.757303 | − | 0.653063i | \(-0.773484\pi\) |
0.944221 | + | 0.329312i | \(0.106817\pi\) | |||||||
\(464\) | −7.57299 | + | 4.37227i | −0.351567 | + | 0.202977i | ||||
\(465\) | − | 9.00547i | − | 0.417618i | ||||||
\(466\) | −3.33660 | + | 1.92639i | −0.154565 | + | 0.0892383i | ||||
\(467\) | 14.1004 | − | 24.4226i | 0.652488 | − | 1.13014i | −0.330029 | − | 0.943971i | \(-0.607058\pi\) |
0.982517 | − | 0.186172i | \(-0.0596082\pi\) | |||||||
\(468\) | −4.18972 | + | 7.25680i | −0.193670 | + | 0.335446i | ||||
\(469\) | − | 4.39529i | − | 0.202955i | ||||||
\(470\) | 2.77094 | + | 1.59980i | 0.127814 | + | 0.0737933i | ||||
\(471\) | − | 17.6332i | − | 0.812495i | ||||||
\(472\) | 2.68443 | 0.123561 | ||||||||
\(473\) | −6.56406 | − | 20.0408i | −0.301816 | − | 0.921477i | ||||
\(474\) | −11.6646 | −0.535772 | ||||||||
\(475\) | −15.0866 | −0.692219 | ||||||||
\(476\) | −0.340810 | − | 3.39613i | −0.0156210 | − | 0.155661i | ||||
\(477\) | 0.149619 | 0.00685056 | ||||||||
\(478\) | −15.0786 | + | 26.1169i | −0.689678 | + | 1.19456i | ||||
\(479\) | 35.8011 | + | 20.6698i | 1.63579 | + | 0.944425i | 0.982259 | + | 0.187528i | \(0.0600474\pi\) |
0.653533 | + | 0.756898i | \(0.273286\pi\) | |||||||
\(480\) | 6.64296 | + | 11.5059i | 0.303208 | + | 0.525172i | ||||
\(481\) | 0.222223i | 0.0101325i | ||||||||
\(482\) | 16.8897 | − | 9.75130i | 0.769307 | − | 0.444159i | ||||
\(483\) | −3.08145 | − | 1.77908i | −0.140211 | − | 0.0809508i | ||||
\(484\) | 1.44752 | 0.0657962 | ||||||||
\(485\) | 8.34093 | − | 14.4469i | 0.378742 | − | 0.656001i | ||||
\(486\) | −21.3211 | + | 12.3097i | −0.967144 | + | 0.558381i | ||||
\(487\) | −0.533301 | + | 0.307901i | −0.0241662 | + | 0.0139523i | −0.512034 | − | 0.858965i | \(-0.671108\pi\) |
0.487868 | + | 0.872917i | \(0.337775\pi\) | |||||||
\(488\) | 3.71562 | − | 2.14522i | 0.168198 | − | 0.0971094i | ||||
\(489\) | −22.0326 | −0.996348 | ||||||||
\(490\) | −15.0782 | + | 8.70542i | −0.681165 | + | 0.393271i | ||||
\(491\) | −0.642989 | − | 1.11369i | −0.0290177 | − | 0.0502601i | 0.851152 | − | 0.524920i | \(-0.175905\pi\) |
−0.880170 | + | 0.474659i | \(0.842571\pi\) | |||||||
\(492\) | −6.40146 | + | 11.0877i | −0.288600 | + | 0.499870i | ||||
\(493\) | −1.01194 | − | 10.0838i | −0.0455754 | − | 0.454153i | ||||
\(494\) | 27.1080 | 1.21965 | ||||||||
\(495\) | −4.99065 | −0.224313 | ||||||||
\(496\) | 16.9485 | + | 9.78524i | 0.761011 | + | 0.439370i | ||||
\(497\) | −1.48385 | + | 2.57011i | −0.0665599 | + | 0.115285i | ||||
\(498\) | −41.5632 | + | 23.9965i | −1.86249 | + | 1.07531i | ||||
\(499\) | 1.46542 | − | 0.846060i | 0.0656012 | − | 0.0378748i | −0.466841 | − | 0.884341i | \(-0.654608\pi\) |
0.532442 | + | 0.846467i | \(0.321275\pi\) | |||||||
\(500\) | 23.0786i | 1.03211i | ||||||||
\(501\) | −7.76898 | − | 13.4563i | −0.347092 | − | 0.601181i | ||||
\(502\) | 6.75728 | + | 11.7040i | 0.301592 | + | 0.522373i | ||||
\(503\) | 27.9955 | − | 16.1632i | 1.24826 | − | 0.720681i | 0.277495 | − | 0.960727i | \(-0.410496\pi\) |
0.970761 | + | 0.240046i | \(0.0771626\pi\) | |||||||
\(504\) | 0.168127 | + | 0.0970680i | 0.00748896 | + | 0.00432375i | ||||
\(505\) | 21.2743i | 0.946696i | ||||||||
\(506\) | 23.5890 | − | 40.8574i | 1.04866 | − | 1.81633i | ||||
\(507\) | −4.31252 | + | 2.48983i | −0.191526 | + | 0.110577i | ||||
\(508\) | 26.3693 | 1.16995 | ||||||||
\(509\) | −3.86661 | − | 6.69716i | −0.171384 | − | 0.296846i | 0.767520 | − | 0.641025i | \(-0.221491\pi\) |
−0.938904 | + | 0.344179i | \(0.888157\pi\) | |||||||
\(510\) | −13.7654 | + | 1.38139i | −0.609542 | + | 0.0611690i | ||||
\(511\) | −1.82871 | + | 3.16742i | −0.0808974 | + | 0.140118i | ||||
\(512\) | −31.8039 | −1.40555 | ||||||||
\(513\) | 21.1902 | + | 12.2342i | 0.935570 | + | 0.540151i | ||||
\(514\) | 7.86279 | 0.346813 | ||||||||
\(515\) | 13.6035i | 0.599442i | ||||||||
\(516\) | 18.6692 | + | 3.92216i | 0.821866 | + | 0.172663i | ||||
\(517\) | 4.05338i | 0.178267i | ||||||||
\(518\) | 0.0563795 | 0.00247717 | ||||||||
\(519\) | −4.01769 | + | 6.95884i | −0.176357 | + | 0.305459i | ||||
\(520\) | − | 1.55034i | − | 0.0679867i | ||||||
\(521\) | −10.6383 | − | 6.14204i | −0.466074 | − | 0.269088i | 0.248521 | − | 0.968627i | \(-0.420056\pi\) |
−0.714595 | + | 0.699539i | \(0.753389\pi\) | |||||||
\(522\) | 5.46662 | + | 3.15616i | 0.239268 | + | 0.138141i | ||||
\(523\) | 11.2966 | + | 19.5663i | 0.493965 | + | 0.855572i | 0.999976 | − | 0.00695469i | \(-0.00221376\pi\) |
−0.506011 | + | 0.862527i | \(0.668880\pi\) | |||||||
\(524\) | − | 24.6354i | − | 1.07620i | ||||||
\(525\) | 0.861526 | + | 1.49221i | 0.0376001 | + | 0.0651253i | ||||
\(526\) | −2.30994 | + | 4.00093i | −0.100718 | + | 0.174449i | ||||
\(527\) | −18.4120 | + | 13.2453i | −0.802038 | + | 0.576972i | ||||
\(528\) | −7.56120 | + | 13.0964i | −0.329059 | + | 0.569947i | ||||
\(529\) | 14.1141 | + | 24.4464i | 0.613658 | + | 1.06289i | ||||
\(530\) | −0.262524 | + | 0.151568i | −0.0114033 | + | 0.00658370i | ||||
\(531\) | 4.08230 | + | 7.07076i | 0.177157 | + | 0.306845i | ||||
\(532\) | − | 3.60327i | − | 0.156222i | ||||||
\(533\) | −11.5806 | + | 6.68604i | −0.501610 | + | 0.289605i | ||||
\(534\) | −11.7278 | + | 6.77104i | −0.507511 | + | 0.293012i | ||||
\(535\) | −3.18473 | + | 5.51612i | −0.137688 | + | 0.238483i | ||||
\(536\) | −2.40709 | + | 4.16920i | −0.103970 | + | 0.180082i | ||||
\(537\) | − | 22.6518i | − | 0.977497i | ||||||
\(538\) | − | 40.2555i | − | 1.73554i | ||||||
\(539\) | −19.1017 | − | 11.0284i | −0.822768 | − | 0.475025i | ||||
\(540\) | 7.66202 | − | 13.2710i | 0.329721 | − | 0.571094i | ||||
\(541\) | −28.7477 | + | 16.5975i | −1.23596 | + | 0.713581i | −0.968266 | − | 0.249923i | \(-0.919595\pi\) |
−0.267693 | + | 0.963504i | \(0.586261\pi\) | |||||||
\(542\) | 22.6635 | + | 39.2542i | 0.973479 | + | 1.68611i | ||||
\(543\) | 11.2678 | 0.483548 | ||||||||
\(544\) | 13.7538 | − | 30.5047i | 0.589690 | − | 1.30788i | ||||
\(545\) | 8.69223 | + | 15.0554i | 0.372334 | + | 0.644902i | ||||
\(546\) | −1.54802 | − | 2.68125i | −0.0662491 | − | 0.114747i | ||||
\(547\) | 2.76616 | + | 1.59704i | 0.118272 | + | 0.0682846i | 0.557969 | − | 0.829862i | \(-0.311581\pi\) |
−0.439697 | + | 0.898146i | \(0.644914\pi\) | |||||||
\(548\) | 0.172177 | 0.00735504 | ||||||||
\(549\) | 11.3009 | + | 6.52460i | 0.482312 | + | 0.278463i | ||||
\(550\) | −19.7854 | + | 11.4231i | −0.843652 | + | 0.487083i | ||||
\(551\) | − | 10.6989i | − | 0.455788i | ||||||
\(552\) | 1.94863 | + | 3.37513i | 0.0829393 | + | 0.143655i | ||||
\(553\) | −0.809709 | + | 1.40246i | −0.0344323 | + | 0.0596385i | ||||
\(554\) | −27.7769 | − | 16.0370i | −1.18013 | − | 0.681348i | ||||
\(555\) | − | 0.119727i | − | 0.00508213i | ||||||
\(556\) | −23.0366 | − | 13.3002i | −0.976971 | − | 0.564054i | ||||
\(557\) | 11.7269 | 0.496884 | 0.248442 | − | 0.968647i | \(-0.420081\pi\) | ||||
0.248442 | + | 0.968647i | \(0.420081\pi\) | |||||||
\(558\) | − | 14.1271i | − | 0.598048i | ||||||
\(559\) | 14.8385 | + | 13.2973i | 0.627602 | + | 0.562415i | ||||
\(560\) | 1.65726 | 0.0700318 | ||||||||
\(561\) | −10.2348 | − | 14.2272i | −0.432114 | − | 0.600673i | ||||
\(562\) | −26.1587 | + | 45.3082i | −1.10344 | + | 1.91121i | ||||
\(563\) | 4.54836 | 0.191691 | 0.0958453 | − | 0.995396i | \(-0.469445\pi\) | ||||
0.0958453 | + | 0.995396i | \(0.469445\pi\) | |||||||
\(564\) | −3.17547 | − | 1.83336i | −0.133712 | − | 0.0771984i | ||||
\(565\) | 6.78337 | − | 11.7491i | 0.285378 | − | 0.494290i | ||||
\(566\) | 2.89915 | − | 1.67382i | 0.121860 | − | 0.0703560i | ||||
\(567\) | − | 1.38080i | − | 0.0579881i | ||||||
\(568\) | 2.81505 | − | 1.62527i | 0.118117 | − | 0.0681949i | ||||
\(569\) | 9.68585 | − | 16.7764i | 0.406052 | − | 0.703303i | −0.588391 | − | 0.808576i | \(-0.700238\pi\) |
0.994443 | + | 0.105274i | \(0.0335718\pi\) | |||||||
\(570\) | −14.6050 | −0.611736 | ||||||||
\(571\) | −40.8137 | − | 23.5638i | −1.70800 | − | 0.986115i | −0.937033 | − | 0.349241i | \(-0.886439\pi\) |
−0.770968 | − | 0.636874i | \(-0.780227\pi\) | |||||||
\(572\) | 18.6260 | − | 10.7537i | 0.778791 | − | 0.449635i | ||||
\(573\) | 14.9703 | − | 8.64313i | 0.625395 | − | 0.361072i | ||||
\(574\) | 1.69630 | + | 2.93808i | 0.0708021 | + | 0.122633i | ||||
\(575\) | − | 24.8075i | − | 1.03455i | ||||||
\(576\) | 5.96345 | + | 10.3290i | 0.248477 | + | 0.430375i | ||||
\(577\) | 1.48994 | + | 2.58065i | 0.0620269 | + | 0.107434i | 0.895371 | − | 0.445320i | \(-0.146910\pi\) |
−0.833344 | + | 0.552754i | \(0.813577\pi\) | |||||||
\(578\) | 23.0705 | + | 26.1121i | 0.959605 | + | 1.08612i | ||||
\(579\) | −15.7639 | + | 27.3038i | −0.655124 | + | 1.13471i | ||||
\(580\) | −6.70051 | −0.278223 | ||||||||
\(581\) | 6.66297i | 0.276427i | ||||||||
\(582\) | −18.2444 | + | 31.6003i | −0.756256 | + | 1.30987i | ||||
\(583\) | −0.332575 | − | 0.192012i | −0.0137739 | − | 0.00795234i | ||||
\(584\) | 3.46929 | − | 2.00300i | 0.143560 | − | 0.0828846i | ||||
\(585\) | 4.08356 | − | 2.35765i | 0.168835 | − | 0.0974767i | ||||
\(586\) | 11.2752 | 0.465774 | ||||||||
\(587\) | −5.77778 | − | 10.0074i | −0.238474 | − | 0.413050i | 0.721802 | − | 0.692099i | \(-0.243314\pi\) |
−0.960277 | + | 0.279049i | \(0.909981\pi\) | |||||||
\(588\) | 17.2796 | − | 9.97636i | 0.712597 | − | 0.411418i | ||||
\(589\) | −20.7364 | + | 11.9722i | −0.854429 | + | 0.493305i | ||||
\(590\) | −14.3258 | − | 8.27100i | −0.589784 | − | 0.340512i | ||||
\(591\) | 16.5324 | 0.680053 | ||||||||
\(592\) | 0.225330 | + | 0.130094i | 0.00926099 | + | 0.00534683i | ||||
\(593\) | −14.5665 | − | 25.2299i | −0.598174 | − | 1.03607i | −0.993090 | − | 0.117351i | \(-0.962560\pi\) |
0.394916 | − | 0.918717i | \(-0.370774\pi\) | |||||||
\(594\) | 37.0534 | 1.52032 | ||||||||
\(595\) | −0.789452 | + | 1.75093i | −0.0323644 | + | 0.0717813i | ||||
\(596\) | −10.5669 | + | 18.3024i | −0.432838 | + | 0.749697i | ||||
\(597\) | −14.4019 | + | 24.9448i | −0.589431 | + | 1.02092i | ||||
\(598\) | 44.5750i | 1.82281i | ||||||||
\(599\) | −1.22249 | + | 2.11742i | −0.0499497 | + | 0.0865153i | −0.889919 | − | 0.456118i | \(-0.849239\pi\) |
0.839970 | + | 0.542634i | \(0.182573\pi\) | |||||||
\(600\) | − | 1.88727i | − | 0.0770474i | ||||||
\(601\) | − | 1.62928i | − | 0.0664597i | −0.999448 | − | 0.0332299i | \(-0.989421\pi\) | ||
0.999448 | − | 0.0332299i | \(-0.0105793\pi\) | |||||||
\(602\) | 3.37362 | − | 3.76464i | 0.137498 | − | 0.153435i | ||||
\(603\) | −14.6422 | −0.596275 | ||||||||
\(604\) | 33.7525 | 1.37337 | ||||||||
\(605\) | −0.705420 | − | 0.407275i | −0.0286794 | − | 0.0165581i | ||||
\(606\) | − | 46.5341i | − | 1.89032i | ||||||
\(607\) | 5.98269 | + | 3.45411i | 0.242830 | + | 0.140198i | 0.616477 | − | 0.787373i | \(-0.288559\pi\) |
−0.373647 | + | 0.927571i | \(0.621893\pi\) | |||||||
\(608\) | 17.6628 | − | 30.5928i | 0.716320 | − | 1.24070i | ||||
\(609\) | −1.05822 | + | 0.610966i | −0.0428814 | + | 0.0247576i | ||||
\(610\) | −26.4385 | −1.07046 | ||||||||
\(611\) | −1.91487 | − | 3.31664i | −0.0774672 | − | 0.134177i | ||||
\(612\) | −11.3136 | + | 1.13535i | −0.457327 | + | 0.0458939i | ||||
\(613\) | −3.18755 | −0.128744 | −0.0643720 | − | 0.997926i | \(-0.520504\pi\) | ||||
−0.0643720 | + | 0.997926i | \(0.520504\pi\) | |||||||
\(614\) | 31.3726 | − | 54.3390i | 1.26610 | − | 2.19294i | ||||
\(615\) | 6.23927 | − | 3.60224i | 0.251592 | − | 0.145256i | ||||
\(616\) | −0.249144 | − | 0.431530i | −0.0100383 | − | 0.0173868i | ||||
\(617\) | 5.06634 | − | 2.92505i | 0.203963 | − | 0.117758i | −0.394540 | − | 0.918879i | \(-0.629096\pi\) |
0.598503 | + | 0.801121i | \(0.295763\pi\) | |||||||
\(618\) | − | 29.7554i | − | 1.19694i | ||||||
\(619\) | 27.5773 | − | 15.9218i | 1.10842 | − | 0.639949i | 0.170004 | − | 0.985443i | \(-0.445622\pi\) |
0.938421 | + | 0.345494i | \(0.112289\pi\) | |||||||
\(620\) | 7.49795 | + | 12.9868i | 0.301125 | + | 0.521564i | ||||
\(621\) | −20.1172 | + | 34.8440i | −0.807276 | + | 1.39824i | ||||
\(622\) | 57.1804 | + | 33.0131i | 2.29273 | + | 1.32371i | ||||
\(623\) | 1.88008i | 0.0753236i | ||||||||
\(624\) | − | 14.2880i | − | 0.571979i | ||||||
\(625\) | −2.17159 | + | 3.76131i | −0.0868637 | + | 0.150452i | ||||
\(626\) | 4.12001 | + | 2.37869i | 0.164669 | + | 0.0950715i | ||||
\(627\) | −9.25108 | − | 16.0233i | −0.369453 | − | 0.639911i | ||||
\(628\) | 14.6814 | + | 25.4289i | 0.585852 | + | 1.01472i | ||||
\(629\) | −0.244786 | + | 0.176095i | −0.00976025 | + | 0.00702136i | ||||
\(630\) | −0.598152 | − | 1.03603i | −0.0238309 | − | 0.0412764i | ||||
\(631\) | −1.01344 | − | 1.75532i | −0.0403443 | − | 0.0698784i | 0.845148 | − | 0.534532i | \(-0.179512\pi\) |
−0.885492 | + | 0.464654i | \(0.846179\pi\) | |||||||
\(632\) | 1.53612 | − | 0.886878i | 0.0611035 | − | 0.0352781i | ||||
\(633\) | 18.5898 | − | 32.1984i | 0.738877 | − | 1.27977i | ||||
\(634\) | − | 46.8030i | − | 1.85879i | ||||||
\(635\) | −12.8506 | − | 7.41929i | −0.509960 | − | 0.294425i | ||||
\(636\) | 0.300851 | − | 0.173696i | 0.0119295 | − | 0.00688750i | ||||
\(637\) | 20.8397 | 0.825700 | ||||||||
\(638\) | −8.10088 | − | 14.0311i | −0.320717 | − | 0.555498i | ||||
\(639\) | 8.56188 | + | 4.94320i | 0.338703 | + | 0.195550i | ||||
\(640\) | −3.51712 | − | 2.03061i | −0.139026 | − | 0.0802669i | ||||
\(641\) | 16.4316i | 0.649011i | 0.945884 | + | 0.324505i | \(0.105198\pi\) | ||||
−0.945884 | + | 0.324505i | \(0.894802\pi\) | |||||||
\(642\) | 6.96608 | − | 12.0656i | 0.274929 | − | 0.476192i | ||||
\(643\) | − | 20.0547i | − | 0.790880i | −0.918492 | − | 0.395440i | \(-0.870592\pi\) | ||
0.918492 | − | 0.395440i | \(-0.129408\pi\) | |||||||
\(644\) | 5.92503 | 0.233479 | ||||||||
\(645\) | −7.99455 | − | 7.16418i | −0.314785 | − | 0.282089i | ||||
\(646\) | 21.4811 | + | 29.8604i | 0.845161 | + | 1.17484i | ||||
\(647\) | 29.1917 | 1.14765 | 0.573823 | − | 0.818979i | \(-0.305460\pi\) | ||||
0.573823 | + | 0.818979i | \(0.305460\pi\) | |||||||
\(648\) | −0.756198 | + | 1.30977i | −0.0297063 | + | 0.0514527i | ||||
\(649\) | − | 20.9560i | − | 0.822596i | ||||||
\(650\) | 10.7928 | − | 18.6937i | 0.423330 | − | 0.733228i | ||||
\(651\) | 2.36833 | + | 1.36736i | 0.0928222 | + | 0.0535909i | ||||
\(652\) | 31.7733 | − | 18.3443i | 1.24434 | − | 0.718419i | ||||
\(653\) | 15.1519i | 0.592938i | 0.955043 | + | 0.296469i | \(0.0958091\pi\) | ||||
−0.955043 | + | 0.296469i | \(0.904191\pi\) | |||||||
\(654\) | −19.0128 | − | 32.9312i | −0.743461 | − | 1.28771i | ||||
\(655\) | −6.93143 | + | 12.0056i | −0.270833 | + | 0.469097i | ||||
\(656\) | 15.6566i | 0.611289i | ||||||||
\(657\) | 10.5517 | + | 6.09204i | 0.411662 | + | 0.237673i | ||||
\(658\) | −0.841457 | + | 0.485815i | −0.0328034 | + | 0.0189391i | ||||
\(659\) | 23.5992 | + | 40.8750i | 0.919293 | + | 1.59226i | 0.800491 | + | 0.599345i | \(0.204572\pi\) |
0.118803 | + | 0.992918i | \(0.462094\pi\) | |||||||
\(660\) | −10.0351 | + | 5.79378i | −0.390617 | + | 0.225523i | ||||
\(661\) | 7.59103 | 0.295257 | 0.147628 | − | 0.989043i | \(-0.452836\pi\) | ||||
0.147628 | + | 0.989043i | \(0.452836\pi\) | |||||||
\(662\) | 11.7456 | + | 20.3440i | 0.456506 | + | 0.790692i | ||||
\(663\) | 15.0957 | + | 6.80626i | 0.586267 | + | 0.264333i | ||||
\(664\) | 3.64900 | − | 6.32024i | 0.141608 | − | 0.245273i | ||||
\(665\) | −1.01382 | + | 1.75599i | −0.0393143 | + | 0.0680944i | ||||
\(666\) | − | 0.187819i | − | 0.00727784i | ||||||
\(667\) | 17.5927 | 0.681191 | ||||||||
\(668\) | 22.4074 | + | 12.9369i | 0.866967 | + | 0.500544i | ||||
\(669\) | 15.0643 | + | 8.69736i | 0.582418 | + | 0.336259i | ||||
\(670\) | 25.6914 | − | 14.8330i | 0.992547 | − | 0.573047i | ||||
\(671\) | −16.7466 | − | 29.0060i | −0.646497 | − | 1.11977i | ||||
\(672\) | −4.03457 | −0.155637 | ||||||||
\(673\) | 13.1601 | − | 7.59800i | 0.507286 | − | 0.292882i | −0.224431 | − | 0.974490i | \(-0.572052\pi\) |
0.731717 | + | 0.681608i | \(0.238719\pi\) | |||||||
\(674\) | −39.6054 | + | 22.8662i | −1.52554 | + | 0.880773i | ||||
\(675\) | 16.8734 | − | 9.74186i | 0.649457 | − | 0.374964i | ||||
\(676\) | 4.14607 | − | 7.18121i | 0.159464 | − | 0.276200i | ||||
\(677\) | − | 36.2706i | − | 1.39399i | −0.717075 | − | 0.696996i | \(-0.754519\pi\) | ||
0.717075 | − | 0.696996i | \(-0.245481\pi\) | |||||||
\(678\) | −14.8375 | + | 25.6993i | −0.569831 | + | 0.986976i | ||||
\(679\) | 2.53291 | + | 4.38713i | 0.0972042 | + | 0.168363i | ||||
\(680\) | 1.70775 | − | 1.22852i | 0.0654891 | − | 0.0471118i | ||||
\(681\) | 17.9657 | + | 31.1176i | 0.688449 | + | 1.19243i | ||||
\(682\) | −18.1300 | + | 31.4020i | −0.694232 | + | 1.20245i | ||||
\(683\) | −0.285852 | − | 0.165037i | −0.0109378 | − | 0.00631495i | 0.494521 | − | 0.869166i | \(-0.335343\pi\) |
−0.505459 | + | 0.862851i | \(0.668677\pi\) | |||||||
\(684\) | −12.0037 | −0.458973 | ||||||||
\(685\) | −0.0839073 | − | 0.0484439i | −0.00320593 | − | 0.00185095i | ||||
\(686\) | − | 10.6834i | − | 0.407896i | ||||||
\(687\) | 38.4680i | 1.46765i | ||||||||
\(688\) | 22.1700 | − | 7.26145i | 0.845222 | − | 0.276840i | ||||
\(689\) | 0.362836 | 0.0138230 | ||||||||
\(690\) | − | 24.0157i | − | 0.914262i | ||||||
\(691\) | 31.3124 | + | 18.0782i | 1.19118 | + | 0.687728i | 0.958574 | − | 0.284843i | \(-0.0919415\pi\) |
0.232606 | + | 0.972571i | \(0.425275\pi\) | |||||||
\(692\) | − | 13.3805i | − | 0.508650i | ||||||
\(693\) | 0.757762 | − | 1.31248i | 0.0287850 | − | 0.0498571i | ||||
\(694\) | −6.95647 | − | 4.01632i | −0.264064 | − | 0.152457i | ||||
\(695\) | 7.48432 | + | 12.9632i | 0.283897 | + | 0.491723i | ||||
\(696\) | 1.33839 | 0.0507315 | ||||||||
\(697\) | −16.5416 | − | 7.45820i | −0.626559 | − | 0.282500i | ||||
\(698\) | 31.6001 | − | 54.7330i | 1.19608 | − | 2.07167i | ||||
\(699\) | −2.48456 | −0.0939748 | ||||||||
\(700\) | −2.48482 | − | 1.43461i | −0.0939175 | − | 0.0542233i | ||||
\(701\) | −24.8710 | − | 43.0779i | −0.939366 | − | 1.62703i | −0.766658 | − | 0.642056i | \(-0.778082\pi\) |
−0.172707 | − | 0.984973i | \(-0.555252\pi\) | |||||||
\(702\) | −30.3187 | + | 17.5045i | −1.14430 | + | 0.660664i | ||||
\(703\) | −0.275689 | + | 0.159169i | −0.0103978 | + | 0.00600318i | ||||
\(704\) | − | 30.6127i | − | 1.15376i | ||||||
\(705\) | 1.03167 | + | 1.78691i | 0.0388551 | + | 0.0672989i | ||||
\(706\) | 5.24709 | + | 9.08823i | 0.197477 | + | 0.342040i | ||||
\(707\) | −5.59490 | − | 3.23022i | −0.210418 | − | 0.121485i | ||||
\(708\) | 16.4173 | + | 9.47851i | 0.616999 | + | 0.356224i | ||||
\(709\) | 39.0826i | 1.46778i | 0.679270 | + | 0.733888i | \(0.262296\pi\) | ||||
−0.679270 | + | 0.733888i | \(0.737704\pi\) | |||||||
\(710\) | −20.0305 | −0.751730 | ||||||||
\(711\) | 4.67205 | + | 2.69741i | 0.175215 | + | 0.101161i | ||||
\(712\) | 1.02963 | − | 1.78337i | 0.0385870 | − | 0.0668346i | ||||
\(713\) | −19.6864 | − | 34.0979i | −0.737262 | − | 1.27698i | ||||
\(714\) | 1.72680 | − | 3.82988i | 0.0646237 | − | 0.143330i | ||||
\(715\) | −12.1027 | −0.452615 | ||||||||
\(716\) | 18.8599 | + | 32.6663i | 0.704827 | + | 1.22080i | ||||
\(717\) | −16.8421 | + | 9.72382i | −0.628981 | + | 0.363143i | ||||
\(718\) | −18.4692 | − | 31.9896i | −0.689264 | − | 1.19384i | ||||
\(719\) | −9.64916 | − | 5.57095i | −0.359853 | − | 0.207761i | 0.309163 | − | 0.951009i | \(-0.399951\pi\) |
−0.669016 | + | 0.743248i | \(0.733284\pi\) | |||||||
\(720\) | − | 5.52087i | − | 0.205751i | ||||||
\(721\) | −3.57756 | − | 2.06550i | −0.133235 | − | 0.0769234i | ||||
\(722\) | −0.0551100 | − | 0.0954532i | −0.00205098 | − | 0.00355240i | ||||
\(723\) | 12.5767 | 0.467734 | ||||||||
\(724\) | −16.2494 | + | 9.38158i | −0.603903 | + | 0.348664i | ||||
\(725\) | −7.37796 | − | 4.25967i | −0.274011 | − | 0.158200i | ||||
\(726\) | 1.54299 | + | 0.890847i | 0.0572658 | + | 0.0330624i | ||||
\(727\) | −39.6986 | −1.47234 | −0.736169 | − | 0.676798i | \(-0.763367\pi\) | ||||
−0.736169 | + | 0.676798i | \(0.763367\pi\) | |||||||
\(728\) | 0.407720 | + | 0.235397i | 0.0151111 | + | 0.00872440i | ||||
\(729\) | −26.8902 | −0.995934 | ||||||||
\(730\) | −24.6857 | −0.913658 | ||||||||
\(731\) | −2.88900 | + | 26.8822i | −0.106854 | + | 0.994275i | ||||
\(732\) | 30.2983 | 1.11986 | ||||||||
\(733\) | 32.4030 | 1.19683 | 0.598415 | − | 0.801186i | \(-0.295797\pi\) | ||||
0.598415 | + | 0.801186i | \(0.295797\pi\) | |||||||
\(734\) | −22.8711 | − | 13.2046i | −0.844187 | − | 0.487391i | ||||
\(735\) | −11.2278 | −0.414145 | ||||||||
\(736\) | 50.3052 | + | 29.0437i | 1.85427 | + | 1.07057i | ||||
\(737\) | 32.5469 | + | 18.7909i | 1.19888 | + | 0.692174i | ||||
\(738\) | 9.78770 | − | 5.65093i | 0.360290 | − | 0.208014i | ||||
\(739\) | 33.2420 | 1.22283 | 0.611413 | − | 0.791312i | \(-0.290601\pi\) | ||||
0.611413 | + | 0.791312i | \(0.290601\pi\) | |||||||
\(740\) | 0.0996847 | + | 0.172659i | 0.00366448 | + | 0.00634707i | ||||
\(741\) | 15.1393 | + | 8.74065i | 0.556155 | + | 0.321096i | ||||
\(742\) | − | 0.0920542i | − | 0.00337942i | ||||||
\(743\) | −20.1382 | − | 11.6268i | −0.738800 | − | 0.426546i | 0.0828331 | − | 0.996563i | \(-0.473603\pi\) |
−0.821633 | + | 0.570017i | \(0.806936\pi\) | |||||||
\(744\) | −1.49767 | − | 2.59404i | −0.0549073 | − | 0.0951023i | ||||
\(745\) | 10.2992 | − | 5.94624i | 0.377333 | − | 0.217853i | ||||
\(746\) | 7.59779 | + | 13.1598i | 0.278175 | + | 0.481813i | ||||
\(747\) | 22.1966 | 0.812130 | ||||||||
\(748\) | 26.6052 | + | 11.9956i | 0.972784 | + | 0.438604i | ||||
\(749\) | −0.967116 | − | 1.67509i | −0.0353376 | − | 0.0612066i | ||||
\(750\) | −14.2033 | + | 24.6008i | −0.518630 | + | 0.898294i | ||||
\(751\) | −19.3912 | − | 11.1955i | −0.707596 | − | 0.408531i | 0.102575 | − | 0.994725i | \(-0.467292\pi\) |
−0.810170 | + | 0.586195i | \(0.800625\pi\) | |||||||
\(752\) | −4.48402 | −0.163515 | ||||||||
\(753\) | 8.71522i | 0.317600i | ||||||||
\(754\) | 13.2570 | + | 7.65391i | 0.482790 | + | 0.278739i | ||||
\(755\) | −16.4487 | − | 9.49664i | −0.598628 | − | 0.345618i | ||||
\(756\) | 2.32675 | + | 4.03004i | 0.0846229 | + | 0.146571i | ||||
\(757\) | −21.0806 | − | 36.5127i | −0.766187 | − | 1.32708i | −0.939617 | − | 0.342229i | \(-0.888818\pi\) |
0.173429 | − | 0.984846i | \(-0.444515\pi\) | |||||||
\(758\) | 2.61362i | 0.0949311i | ||||||||
\(759\) | 26.3479 | − | 15.2120i | 0.956370 | − | 0.552160i | ||||
\(760\) | 1.92335 | − | 1.11044i | 0.0697671 | − | 0.0402800i | ||||
\(761\) | 2.81584 | + | 4.87718i | 0.102074 | + | 0.176798i | 0.912539 | − | 0.408990i | \(-0.134119\pi\) |
−0.810465 | + | 0.585787i | \(0.800785\pi\) | |||||||
\(762\) | 28.1085 | + | 16.2285i | 1.01827 | + | 0.587896i | ||||
\(763\) | −5.27918 | −0.191119 | ||||||||
\(764\) | −14.3925 | + | 24.9286i | −0.520704 | + | 0.901885i | ||||
\(765\) | 5.83294 | + | 2.62993i | 0.210890 | + | 0.0950852i | ||||
\(766\) | 3.80028 | 0.137310 | ||||||||
\(767\) | 9.89989 | + | 17.1471i | 0.357464 | + | 0.619146i | ||||
\(768\) | −14.0993 | − | 8.14021i | −0.508763 | − | 0.293734i | ||||
\(769\) | 9.05646 | − | 15.6862i | 0.326584 | − | 0.565660i | −0.655248 | − | 0.755414i | \(-0.727436\pi\) |
0.981832 | + | 0.189754i | \(0.0607690\pi\) | |||||||
\(770\) | 3.07054i | 0.110655i | ||||||||
\(771\) | 4.39120 | + | 2.53526i | 0.158145 | + | 0.0913053i | ||||
\(772\) | − | 52.5000i | − | 1.88952i | ||||||
\(773\) | −12.9369 | −0.465310 | −0.232655 | − | 0.972559i | \(-0.574741\pi\) | ||||
−0.232655 | + | 0.972559i | \(0.574741\pi\) | |||||||
\(774\) | −12.5413 | − | 11.2386i | −0.450786 | − | 0.403965i | ||||
\(775\) | 19.0665i | 0.684888i | ||||||||
\(776\) | − | 5.54862i | − | 0.199184i | ||||||
\(777\) | 0.0314868 | + | 0.0181789i | 0.00112958 | + | 0.000652164i | ||||
\(778\) | 4.16331 | 0.149262 | ||||||||
\(779\) | −16.5894 | − | 9.57789i | −0.594377 | − | 0.343164i | ||||
\(780\) | 5.47411 | − | 9.48143i | 0.196004 | − | 0.339490i | ||||
\(781\) | −12.6877 | − | 21.9757i | −0.454001 | − | 0.786353i | ||||
\(782\) | −49.1009 | + | 35.3223i | −1.75584 | + | 1.26312i | ||||
\(783\) | 6.90860 | + | 11.9660i | 0.246893 | + | 0.427631i | ||||
\(784\) | 12.2000 | − | 21.1311i | 0.435716 | − | 0.754682i | ||||
\(785\) | − | 16.5231i | − | 0.589735i | ||||||
\(786\) | 15.1614 | − | 26.2603i | 0.540788 | − | 0.936673i | ||||
\(787\) | 3.35285 | − | 1.93577i | 0.119516 | − | 0.0690027i | −0.439050 | − | 0.898463i | \(-0.644685\pi\) |
0.558566 | + | 0.829460i | \(0.311352\pi\) | |||||||
\(788\) | −23.8415 | + | 13.7649i | −0.849318 | + | 0.490354i | ||||
\(789\) | −2.58010 | + | 1.48962i | −0.0918540 | + | 0.0530319i | ||||
\(790\) | −10.9302 | −0.388880 | ||||||||
\(791\) | 2.05992 | + | 3.56789i | 0.0732424 | + | 0.126860i | ||||
\(792\) | −1.43757 | + | 0.829980i | −0.0510818 | + | 0.0294921i | ||||
\(793\) | 27.4056 | + | 15.8226i | 0.973202 | + | 0.561878i | ||||
\(794\) | 14.4207 | + | 8.32581i | 0.511772 | + | 0.295472i | ||||
\(795\) | −0.195485 | −0.00693315 | ||||||||
\(796\) | − | 47.9641i | − | 1.70004i | ||||||
\(797\) | 18.3161 | − | 31.7244i | 0.648789 | − | 1.12374i | −0.334623 | − | 0.942352i | \(-0.608609\pi\) |
0.983412 | − | 0.181384i | \(-0.0580577\pi\) | |||||||
\(798\) | 2.21757 | − | 3.84094i | 0.0785011 | − | 0.135968i | ||||
\(799\) | 2.13601 | − | 4.73748i | 0.0755666 | − | 0.167600i | ||||
\(800\) | −14.0646 | − | 24.3605i | −0.497258 | − | 0.861275i | ||||
\(801\) | 6.26316 | 0.221298 | ||||||||
\(802\) | 31.1129 | − | 17.9630i | 1.09863 | − | 0.634297i | ||||
\(803\) | −15.6364 | − | 27.0830i | −0.551796 | − | 0.955739i | ||||
\(804\) | −29.4422 | + | 16.9985i | −1.03835 | + | 0.599490i | ||||
\(805\) | −2.88746 | − | 1.66707i | −0.101769 | − | 0.0587566i | ||||
\(806\) | − | 34.2593i | − | 1.20673i | ||||||
\(807\) | 12.9799 | − | 22.4819i | 0.456915 | − | 0.791399i | ||||
\(808\) | 3.53807 | + | 6.12812i | 0.124469 | + | 0.215587i | ||||
\(809\) | − | 15.4561i | − | 0.543407i | −0.962381 | − | 0.271703i | \(-0.912413\pi\) | ||
0.962381 | − | 0.271703i | \(-0.0875870\pi\) | |||||||
\(810\) | 8.07107 | − | 4.65984i | 0.283589 | − | 0.163730i | ||||
\(811\) | −32.1206 | − | 18.5448i | −1.12791 | − | 0.651196i | −0.184498 | − | 0.982833i | \(-0.559066\pi\) |
−0.943407 | + | 0.331636i | \(0.892399\pi\) | |||||||
\(812\) | 1.01738 | − | 1.76215i | 0.0357030 | − | 0.0618395i | ||||
\(813\) | 29.2302i | 1.02515i | ||||||||
\(814\) | −0.241037 | + | 0.417488i | −0.00844833 | + | 0.0146329i | ||||
\(815\) | −20.6455 | −0.723181 | ||||||||
\(816\) | 15.7387 | − | 11.3222i | 0.550966 | − | 0.396356i | ||||
\(817\) | −5.86836 | + | 27.9330i | −0.205308 | + | 0.977250i | ||||
\(818\) | −27.5535 | −0.963385 | ||||||||
\(819\) | 1.43190i | 0.0500348i | ||||||||
\(820\) | −5.99845 | + | 10.3896i | −0.209475 | + | 0.362821i | ||||
\(821\) | − | 3.76820i | − | 0.131511i | −0.997836 | − | 0.0657555i | \(-0.979054\pi\) | ||
0.997836 | − | 0.0657555i | \(-0.0209457\pi\) | |||||||
\(822\) | 0.183534 | + | 0.105963i | 0.00640147 | + | 0.00369589i | ||||
\(823\) | −48.2510 | − | 27.8577i | −1.68192 | − | 0.971059i | −0.960382 | − | 0.278687i | \(-0.910101\pi\) |
−0.721541 | − | 0.692372i | \(-0.756566\pi\) | |||||||
\(824\) | 2.26236 | + | 3.91852i | 0.0788130 | + | 0.136508i | ||||
\(825\) | −14.7330 | −0.512936 | ||||||||
\(826\) | 4.35035 | − | 2.51168i | 0.151368 | − | 0.0873924i | ||||
\(827\) | −4.76635 | − | 2.75186i | −0.165742 | − | 0.0956914i | 0.414834 | − | 0.909897i | \(-0.363840\pi\) |
−0.580577 | + | 0.814206i | \(0.697173\pi\) | |||||||
\(828\) | − | 19.7383i | − | 0.685952i | ||||||
\(829\) | 5.08589 | − | 8.80902i | 0.176640 | − | 0.305950i | −0.764087 | − | 0.645113i | \(-0.776810\pi\) |
0.940728 | + | 0.339163i | \(0.110144\pi\) | |||||||
\(830\) | −38.9466 | + | 22.4858i | −1.35185 | + | 0.780494i | ||||
\(831\) | −10.3419 | − | 17.9127i | −0.358756 | − | 0.621384i | ||||
\(832\) | 14.4618 | + | 25.0486i | 0.501373 | + | 0.868404i | ||||
\(833\) | 16.5139 | + | 22.9557i | 0.572173 | + | 0.795367i | ||||
\(834\) | −16.3707 | − | 28.3549i | −0.566872 | − | 0.981851i | ||||
\(835\) | −7.27988 | − | 12.6091i | −0.251931 | − | 0.436357i | ||||
\(836\) | 26.6821 | + | 15.4049i | 0.922819 | + | 0.532790i | ||||
\(837\) | 15.4616 | − | 26.7803i | 0.534431 | − | 0.925662i | ||||
\(838\) | − | 52.4178i | − | 1.81074i | ||||||
\(839\) | 38.2099i | 1.31915i | 0.751638 | + | 0.659576i | \(0.229264\pi\) | ||||
−0.751638 | + | 0.659576i | \(0.770736\pi\) | |||||||
\(840\) | −0.219667 | − | 0.126825i | −0.00757925 | − | 0.00437588i | ||||
\(841\) | −11.4792 | + | 19.8825i | −0.395834 | + | 0.685605i | ||||
\(842\) | 18.5090 | + | 32.0585i | 0.637861 | + | 1.10481i | ||||
\(843\) | −29.2182 | + | 16.8691i | −1.00633 | + | 0.581004i | ||||
\(844\) | 61.9114i | 2.13108i | ||||||||
\(845\) | −4.04102 | + | 2.33309i | −0.139015 | + | 0.0802606i | ||||
\(846\) | 1.61841 | + | 2.80317i | 0.0556422 | + | 0.0963751i | ||||
\(847\) | 0.214217 | − | 0.123678i | 0.00736057 | − | 0.00424963i | ||||
\(848\) | 0.212412 | − | 0.367909i | 0.00729427 | − | 0.0126340i | ||||
\(849\) | 2.15882 | 0.0740904 | ||||||||
\(850\) | 29.1443 | − | 2.92470i | 0.999641 | − | 0.100316i | ||||
\(851\) | −0.261730 | − | 0.453329i | −0.00897197 | − | 0.0155399i | ||||
\(852\) | 22.9548 | 0.786418 | ||||||||
\(853\) | −22.4818 | + | 12.9798i | −0.769761 | + | 0.444422i | −0.832789 | − | 0.553590i | \(-0.813257\pi\) |
0.0630286 | + | 0.998012i | \(0.479924\pi\) | |||||||
\(854\) | 4.01432 | − | 6.95300i | 0.137367 | − | 0.237927i | ||||
\(855\) | 5.84978 | + | 3.37737i | 0.200058 | + | 0.115504i | ||||
\(856\) | 2.11857i | 0.0724114i | ||||||||
\(857\) | 16.9286 | + | 9.77375i | 0.578271 | + | 0.333865i | 0.760446 | − | 0.649401i | \(-0.224980\pi\) |
−0.182175 | + | 0.983266i | \(0.558314\pi\) | |||||||
\(858\) | 26.4727 | 0.903762 | ||||||||
\(859\) | 12.1532 | 0.414660 | 0.207330 | − | 0.978271i | \(-0.433523\pi\) | ||||
0.207330 | + | 0.978271i | \(0.433523\pi\) | |||||||
\(860\) | 17.4939 | + | 3.67524i | 0.596536 | + | 0.125325i | ||||
\(861\) | 2.18780i | 0.0745602i | ||||||||
\(862\) | 20.3146i | 0.691917i | ||||||||
\(863\) | −5.41359 | + | 9.37661i | −0.184281 | + | 0.319183i | −0.943334 | − | 0.331845i | \(-0.892329\pi\) |
0.759053 | + | 0.651029i | \(0.225662\pi\) | |||||||
\(864\) | 45.6216i | 1.55208i | ||||||||
\(865\) | −3.76475 | + | 6.52074i | −0.128005 | + | 0.221712i | ||||
\(866\) | −35.5485 | + | 61.5718i | −1.20799 | + | 2.09229i | ||||
\(867\) | 4.46485 | + | 22.0218i | 0.151634 | + | 0.747901i | ||||
\(868\) | −4.55384 | −0.154567 | ||||||||
\(869\) | −6.92341 | − | 11.9917i | −0.234861 | − | 0.406791i | ||||
\(870\) | −7.14246 | − | 4.12370i | −0.242152 | − | 0.139807i | ||||
\(871\) | −35.5083 | −1.20315 | ||||||||
\(872\) | 5.00763 | + | 2.89116i | 0.169580 | + | 0.0979070i | ||||
\(873\) | 14.6150 | − | 8.43797i | 0.494642 | − | 0.285582i | ||||
\(874\) | −55.2997 | + | 31.9273i | −1.87054 | + | 1.07996i | ||||
\(875\) | 1.97187 | + | 3.41538i | 0.0666614 | + | 0.115461i | ||||
\(876\) | 28.2896 | 0.955818 | ||||||||
\(877\) | −25.7428 | + | 14.8626i | −0.869272 | + | 0.501874i | −0.867106 | − | 0.498123i | \(-0.834023\pi\) |
−0.00216576 | + | 0.999998i | \(0.500689\pi\) | |||||||
\(878\) | −27.9543 | + | 16.1394i | −0.943410 | + | 0.544678i | ||||
\(879\) | 6.29696 | + | 3.63555i | 0.212391 | + | 0.122624i | ||||
\(880\) | −7.08518 | + | 12.2719i | −0.238842 | + | 0.413686i | ||||
\(881\) | 17.4086i | 0.586512i | 0.956034 | + | 0.293256i | \(0.0947387\pi\) | ||||
−0.956034 | + | 0.293256i | \(0.905261\pi\) | |||||||
\(882\) | −17.6134 | −0.593074 | ||||||||
\(883\) | −13.9089 | + | 24.0910i | −0.468073 | + | 0.810726i | −0.999334 | − | 0.0364818i | \(-0.988385\pi\) |
0.531261 | + | 0.847208i | \(0.321718\pi\) | |||||||
\(884\) | −27.4364 | + | 2.75331i | −0.922787 | + | 0.0926039i | ||||
\(885\) | −5.33377 | − | 9.23836i | −0.179293 | − | 0.310544i | ||||
\(886\) | 0.315885 | + | 0.547129i | 0.0106124 | + | 0.0183811i | ||||
\(887\) | 14.5245i | 0.487686i | 0.969815 | + | 0.243843i | \(0.0784082\pi\) | ||||
−0.969815 | + | 0.243843i | \(0.921592\pi\) | |||||||
\(888\) | −0.0199115 | − | 0.0344876i | −0.000668185 | − | 0.00115733i | ||||
\(889\) | 3.90237 | − | 2.25303i | 0.130881 | − | 0.0755643i | ||||
\(890\) | −10.9895 | + | 6.34477i | −0.368368 | + | 0.212677i | ||||
\(891\) | 10.2247 | + | 5.90326i | 0.342542 | + | 0.197767i | ||||
\(892\) | −28.9657 | −0.969842 | ||||||||
\(893\) | 2.74308 | − | 4.75116i | 0.0917938 | − | 0.158992i | ||||
\(894\) | −22.5278 | + | 13.0064i | −0.753442 | + | 0.435000i | ||||
\(895\) | − | 21.2257i | − | 0.709498i | ||||||
\(896\) | 1.06805 | − | 0.616641i | 0.0356811 | − | 0.0206005i | ||||
\(897\) | −14.3727 | + | 24.8942i | −0.479889 | + | 0.831193i | ||||
\(898\) | −2.52670 | − | 1.45879i | −0.0843169 | − | 0.0486804i | ||||
\(899\) | −13.5213 | −0.450961 | ||||||||
\(900\) | −4.77917 | + | 8.27777i | −0.159306 | + | 0.275926i | ||||
\(901\) | 0.287520 | + | 0.399676i | 0.00957869 | + | 0.0133151i | ||||
\(902\) | −29.0084 | −0.965874 | ||||||||
\(903\) | 3.09796 | − | 1.01469i | 0.103094 | − | 0.0337668i | ||||
\(904\) | − | 4.51249i | − | 0.150083i | ||||||
\(905\) | 10.5584 | 0.350975 | ||||||||
\(906\) | 35.9788 | + | 20.7723i | 1.19531 | + | 0.690115i | ||||
\(907\) | 5.12188i | 0.170069i | 0.996378 | + | 0.0850347i | \(0.0271001\pi\) | ||||
−0.996378 | + | 0.0850347i | \(0.972900\pi\) | |||||||
\(908\) | −51.8170 | − | 29.9166i | −1.71961 | − | 0.992816i | ||||
\(909\) | −10.7609 | + | 18.6385i | −0.356917 | + | 0.618199i | ||||
\(910\) | −1.45056 | − | 2.51245i | −0.0480857 | − | 0.0832869i | ||||
\(911\) | 22.1948i | 0.735345i | 0.929955 | + | 0.367673i | \(0.119845\pi\) | ||||
−0.929955 | + | 0.367673i | \(0.880155\pi\) | |||||||
\(912\) | 17.7257 | − | 10.2339i | 0.586957 | − | 0.338880i | ||||
\(913\) | −49.3390 | − | 28.4859i | −1.63288 | − | 0.942745i | ||||
\(914\) | 23.6967 | 0.783818 | ||||||||
\(915\) | −14.7653 | − | 8.52477i | −0.488127 | − | 0.281820i | ||||
\(916\) | −32.0285 | − | 55.4750i | −1.05825 | − | 1.83294i | ||||
\(917\) | −2.10488 | − | 3.64577i | −0.0695094 | − | 0.120394i | ||||
\(918\) | −43.3070 | − | 19.5260i | −1.42934 | − | 0.644456i | ||||
\(919\) | −49.1873 | −1.62254 | −0.811270 | − | 0.584672i | \(-0.801223\pi\) | ||||
−0.811270 | + | 0.584672i | \(0.801223\pi\) | |||||||
\(920\) | 1.82596 | + | 3.16265i | 0.0602000 | + | 0.104269i | ||||
\(921\) | 35.0419 | − | 20.2315i | 1.15467 | − | 0.666649i | ||||
\(922\) | 22.1687 | − | 38.3972i | 0.730086 | − | 1.26455i | ||||
\(923\) | 20.7632 | + | 11.9876i | 0.683429 | + | 0.394578i | ||||
\(924\) | − | 3.51882i | − | 0.115761i | ||||||
\(925\) | 0.253488i | 0.00833462i | ||||||||
\(926\) | −8.24360 | + | 14.2783i | −0.270902 | + | 0.469215i | ||||
\(927\) | −6.88088 | + | 11.9180i | −0.225998 | + | 0.391439i | ||||
\(928\) | 17.2757 | − | 9.97412i | 0.567102 | − | 0.327416i | ||||
\(929\) | −46.9831 | + | 27.1257i | −1.54146 | + | 0.889965i | −0.542717 | + | 0.839915i | \(0.682605\pi\) |
−0.998747 | + | 0.0500495i | \(0.984062\pi\) | |||||||
\(930\) | 18.4579i | 0.605258i | ||||||||
\(931\) | 14.9267 | + | 25.8538i | 0.489202 | + | 0.847323i | ||||
\(932\) | 3.58300 | − | 2.06865i | 0.117365 | − | 0.0677608i | ||||
\(933\) | 21.2894 | + | 36.8743i | 0.696983 | + | 1.20721i | ||||
\(934\) | −28.9006 | + | 50.0573i | −0.945657 | + | 1.63793i | ||||
\(935\) | −9.59047 | − | 13.3315i | −0.313642 | − | 0.435988i | ||||
\(936\) | 0.784186 | − | 1.35825i | 0.0256319 | − | 0.0443958i | ||||
\(937\) | −3.07335 | − | 5.32320i | −0.100402 | − | 0.173901i | 0.811448 | − | 0.584424i | \(-0.198680\pi\) |
−0.911850 | + | 0.410523i | \(0.865346\pi\) | |||||||
\(938\) | 9.00872i | 0.294145i | ||||||||
\(939\) | 1.53396 | + | 2.65689i | 0.0500588 | + | 0.0867044i | ||||
\(940\) | −2.97556 | − | 1.71794i | −0.0970521 | − | 0.0560331i | ||||
\(941\) | 5.46266 | + | 3.15387i | 0.178078 | + | 0.102813i | 0.586389 | − | 0.810029i | \(-0.300549\pi\) |
−0.408311 | + | 0.912843i | \(0.633882\pi\) | |||||||
\(942\) | 36.1416i | 1.17756i | ||||||||
\(943\) | 15.7494 | − | 27.2787i | 0.512870 | − | 0.888317i | ||||
\(944\) | 23.1825 | 0.754525 | ||||||||
\(945\) | − | 2.61862i | − | 0.0851838i | ||||||
\(946\) | 13.4539 | + | 41.0763i | 0.437425 | + | 1.33550i | ||||
\(947\) | − | 53.3205i | − | 1.73268i | −0.499452 | − | 0.866342i | \(-0.666465\pi\) | ||
0.499452 | − | 0.866342i | \(-0.333535\pi\) | |||||||
\(948\) | 12.5260 | 0.406825 | ||||||||
\(949\) | 25.5887 | + | 14.7736i | 0.830645 | + | 0.479573i | ||||
\(950\) | 30.9219 | 1.00324 | ||||||||
\(951\) | 15.0911 | − | 26.1385i | 0.489362 | − | 0.847599i | ||||
\(952\) | 0.0637892 | + | 0.635652i | 0.00206742 | + | 0.0206016i | ||||
\(953\) | 1.21948 | + | 2.11221i | 0.0395030 | + | 0.0684212i | 0.885101 | − | 0.465399i | \(-0.154089\pi\) |
−0.845598 | + | 0.533820i | \(0.820756\pi\) | |||||||
\(954\) | −0.306663 | −0.00992858 | ||||||||
\(955\) | 14.0279 | − | 8.09900i | 0.453931 | − | 0.262077i | ||||
\(956\) | 16.1921 | − | 28.0455i | 0.523690 | − | 0.907057i | ||||
\(957\) | − | 10.4481i | − | 0.337740i | ||||||
\(958\) | −73.3790 | − | 42.3654i | −2.37077 | − | 1.36876i | ||||
\(959\) | 0.0254803 | − | 0.0147111i | 0.000822803 | − | 0.000475046i | ||||
\(960\) | −7.79159 | − | 13.4954i | −0.251473 | − | 0.435563i | ||||
\(961\) | −0.369487 | − | 0.639970i | −0.0119189 | − | 0.0206442i | ||||
\(962\) | − | 0.455475i | − | 0.0146851i | ||||||
\(963\) | −5.58029 | + | 3.22178i | −0.179822 | + | 0.103821i | ||||
\(964\) | −18.1370 | + | 10.4714i | −0.584153 | + | 0.337261i | ||||
\(965\) | −14.7715 | + | 25.5849i | −0.475510 | + | 0.823607i | ||||
\(966\) | 6.31584 | + | 3.64645i | 0.203209 | + | 0.117323i | ||||
\(967\) | 31.8496 | 1.02421 | 0.512106 | − | 0.858922i | \(-0.328865\pi\) | ||||
0.512106 | + | 0.858922i | \(0.328865\pi\) | |||||||
\(968\) | −0.270931 | −0.00870804 | ||||||||
\(969\) | 2.36859 | + | 23.6027i | 0.0760901 | + | 0.758228i | ||||
\(970\) | −17.0958 | + | 29.6109i | −0.548914 | + | 0.950747i | ||||
\(971\) | 8.32074 | + | 14.4119i | 0.267025 | + | 0.462501i | 0.968092 | − | 0.250594i | \(-0.0806259\pi\) |
−0.701067 | + | 0.713095i | \(0.747293\pi\) | |||||||
\(972\) | 22.8956 | − | 13.2188i | 0.734376 | − | 0.423992i | ||||
\(973\) | −4.54556 | −0.145724 | ||||||||
\(974\) | 1.09307 | − | 0.631084i | 0.0350242 | − | 0.0202212i | ||||
\(975\) | 12.0551 | − | 6.96004i | 0.386073 | − | 0.222900i | ||||
\(976\) | 32.0877 | − | 18.5258i | 1.02710 | − | 0.592998i | ||||
\(977\) | 1.95837 | − | 3.39200i | 0.0626539 | − | 0.108520i | −0.832997 | − | 0.553277i | \(-0.813377\pi\) |
0.895651 | + | 0.444758i | \(0.146710\pi\) | |||||||
\(978\) | 45.1587 | 1.44402 | ||||||||
\(979\) | −13.9219 | − | 8.03780i | −0.444945 | − | 0.256889i | ||||
\(980\) | 16.1917 | − | 9.34829i | 0.517225 | − | 0.298620i | ||||
\(981\) | 17.5867i | 0.561500i | ||||||||
\(982\) | 1.31789 | + | 2.28265i | 0.0420556 | + | 0.0728424i | ||||
\(983\) | −6.59420 | − | 3.80717i | −0.210322 | − | 0.121430i | 0.391139 | − | 0.920332i | \(-0.372081\pi\) |
−0.601461 | + | 0.798902i | \(0.705415\pi\) | |||||||
\(984\) | 1.19816 | − | 2.07527i | 0.0381958 | − | 0.0661571i | ||||
\(985\) | 15.4916 | 0.493604 | ||||||||
\(986\) | 2.07410 | + | 20.6681i | 0.0660528 | + | 0.658208i | ||||
\(987\) | −0.626581 | −0.0199443 | ||||||||
\(988\) | −29.1099 | −0.926108 | ||||||||
\(989\) | −45.9315 | − | 9.64961i | −1.46054 | − | 0.306840i | ||||
\(990\) | 10.2290 | 0.325099 | ||||||||
\(991\) | − | 15.7060i | − | 0.498917i | −0.968385 | − | 0.249459i | \(-0.919747\pi\) | ||
0.968385 | − | 0.249459i | \(-0.0802527\pi\) | |||||||
\(992\) | −38.6634 | − | 22.3223i | −1.22756 | − | 0.708734i | ||||
\(993\) | 15.1489i | 0.480737i | ||||||||
\(994\) | 3.04135 | − | 5.26778i | 0.0964658 | − | 0.167084i | ||||
\(995\) | −13.4952 | + | 23.3744i | −0.427827 | + | 0.741019i | ||||
\(996\) | 44.6325 | − | 25.7686i | 1.41423 | − | 0.816509i | ||||
\(997\) | 50.5293i | 1.60028i | 0.599814 | + | 0.800140i | \(0.295241\pi\) | ||||
−0.599814 | + | 0.800140i | \(0.704759\pi\) | |||||||
\(998\) | −3.00357 | + | 1.73411i | −0.0950763 | + | 0.0548923i | ||||
\(999\) | 0.205561 | − | 0.356042i | 0.00650366 | − | 0.0112647i |
(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 | 731.2.j.a.135.13 | ✓ | 128 | |
17.16 | even | 2 | inner | 731.2.j.a.135.14 | yes | 128 | |
43.36 | even | 3 | inner | 731.2.j.a.509.14 | yes | 128 | |
731.509 | even | 6 | inner | 731.2.j.a.509.13 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.j.a.135.13 | ✓ | 128 | 1.1 | even | 1 | trivial | |
731.2.j.a.135.14 | yes | 128 | 17.16 | even | 2 | inner | |
731.2.j.a.509.13 | yes | 128 | 731.509 | even | 6 | inner | |
731.2.j.a.509.14 | yes | 128 | 43.36 | even | 3 | inner |