Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [975,2,Mod(196,975)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(975, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("975.196");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 975 = 3 \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 975.v (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.78541419707\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 196.13 | ||
Character | \(\chi\) | \(=\) | 975.196 |
Dual form | 975.2.v.c.781.13 |
$q$-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 \(\left(\mathbb{Z}/975\mathbb{Z}\right)^\times\).
\(n\) | \(301\) | \(326\) | \(352\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.491587 | − | 1.51295i | 0.347605 | − | 1.06982i | −0.612570 | − | 0.790416i | \(-0.709864\pi\) |
0.960175 | − | 0.279400i | \(-0.0901357\pi\) | |||||||
\(3\) | 0.809017 | + | 0.587785i | 0.467086 | + | 0.339358i | ||||
\(4\) | −0.429324 | − | 0.311922i | −0.214662 | − | 0.155961i | ||||
\(5\) | −2.15278 | + | 0.604601i | −0.962752 | + | 0.270386i | ||||
\(6\) | 1.28699 | − | 0.935054i | 0.525412 | − | 0.381734i | ||||
\(7\) | 0.787992 | 0.297833 | 0.148917 | − | 0.988850i | \(-0.452421\pi\) | ||||
0.148917 | + | 0.988850i | \(0.452421\pi\) | |||||||
\(8\) | 1.89101 | − | 1.37390i | 0.668573 | − | 0.485747i | ||||
\(9\) | 0.309017 | + | 0.951057i | 0.103006 | + | 0.317019i | ||||
\(10\) | −0.143548 | + | 3.55426i | −0.0453937 | + | 1.12396i | ||||
\(11\) | −1.28573 | + | 3.95708i | −0.387664 | + | 1.19311i | 0.546866 | + | 0.837220i | \(0.315821\pi\) |
−0.934530 | + | 0.355886i | \(0.884179\pi\) | |||||||
\(12\) | −0.163987 | − | 0.504700i | −0.0473390 | − | 0.145694i | ||||
\(13\) | 0.309017 | + | 0.951057i | 0.0857059 | + | 0.263776i | ||||
\(14\) | 0.387367 | − | 1.19219i | 0.103528 | − | 0.318627i | ||||
\(15\) | −2.09701 | − | 0.776239i | −0.541446 | − | 0.200424i | ||||
\(16\) | −1.47702 | − | 4.54580i | −0.369255 | − | 1.13645i | ||||
\(17\) | 3.47376 | − | 2.52383i | 0.842510 | − | 0.612119i | −0.0805605 | − | 0.996750i | \(-0.525671\pi\) |
0.923071 | + | 0.384630i | \(0.125671\pi\) | |||||||
\(18\) | 1.59081 | 0.374957 | ||||||||
\(19\) | 5.49597 | − | 3.99306i | 1.26086 | − | 0.916070i | 0.262063 | − | 0.965051i | \(-0.415597\pi\) |
0.998800 | + | 0.0489804i | \(0.0155972\pi\) | |||||||
\(20\) | 1.11283 | + | 0.411930i | 0.248836 | + | 0.0921102i | ||||
\(21\) | 0.637499 | + | 0.463170i | 0.139114 | + | 0.101072i | ||||
\(22\) | 5.35482 | + | 3.89050i | 1.14165 | + | 0.829458i | ||||
\(23\) | −2.40052 | + | 7.38804i | −0.500543 | + | 1.54051i | 0.307594 | + | 0.951518i | \(0.400476\pi\) |
−0.808137 | + | 0.588994i | \(0.799524\pi\) | |||||||
\(24\) | 2.33742 | 0.477123 | ||||||||
\(25\) | 4.26892 | − | 2.60314i | 0.853783 | − | 0.520629i | ||||
\(26\) | 1.59081 | 0.311983 | ||||||||
\(27\) | −0.309017 | + | 0.951057i | −0.0594703 | + | 0.183031i | ||||
\(28\) | −0.338304 | − | 0.245792i | −0.0639334 | − | 0.0464504i | ||||
\(29\) | 8.50219 | + | 6.17721i | 1.57882 | + | 1.14708i | 0.918034 | + | 0.396503i | \(0.129776\pi\) |
0.660784 | + | 0.750576i | \(0.270224\pi\) | |||||||
\(30\) | −2.20527 | + | 2.79108i | −0.402626 | + | 0.509579i | ||||
\(31\) | 6.11421 | − | 4.44223i | 1.09814 | − | 0.797849i | 0.117388 | − | 0.993086i | \(-0.462548\pi\) |
0.980756 | + | 0.195237i | \(0.0625478\pi\) | |||||||
\(32\) | −2.92881 | −0.517745 | ||||||||
\(33\) | −3.36610 | + | 2.44561i | −0.585962 | + | 0.425727i | ||||
\(34\) | −2.11078 | − | 6.49630i | −0.361995 | − | 1.11411i | ||||
\(35\) | −1.69637 | + | 0.476421i | −0.286739 | + | 0.0805298i | ||||
\(36\) | 0.163987 | − | 0.504700i | 0.0273312 | − | 0.0841167i | ||||
\(37\) | 0.312755 | + | 0.962562i | 0.0514167 | + | 0.158244i | 0.973468 | − | 0.228824i | \(-0.0734879\pi\) |
−0.922051 | + | 0.387068i | \(0.873488\pi\) | |||||||
\(38\) | −3.33955 | − | 10.2781i | −0.541746 | − | 1.66732i | ||||
\(39\) | −0.309017 | + | 0.951057i | −0.0494823 | + | 0.152291i | ||||
\(40\) | −3.24027 | + | 4.10101i | −0.512331 | + | 0.648427i | ||||
\(41\) | 2.86903 | + | 8.82997i | 0.448067 | + | 1.37901i | 0.879085 | + | 0.476666i | \(0.158155\pi\) |
−0.431017 | + | 0.902344i | \(0.641845\pi\) | |||||||
\(42\) | 1.01414 | − | 0.736816i | 0.156485 | − | 0.113693i | ||||
\(43\) | −6.73639 | −1.02729 | −0.513645 | − | 0.858003i | \(-0.671705\pi\) | ||||
−0.513645 | + | 0.858003i | \(0.671705\pi\) | |||||||
\(44\) | 1.78630 | − | 1.29782i | 0.269295 | − | 0.195654i | ||||
\(45\) | −1.24026 | − | 1.86058i | −0.184886 | − | 0.277359i | ||||
\(46\) | 9.99766 | + | 7.26372i | 1.47407 | + | 1.07098i | ||||
\(47\) | 3.38656 | + | 2.46048i | 0.493980 | + | 0.358897i | 0.806713 | − | 0.590944i | \(-0.201244\pi\) |
−0.312733 | + | 0.949841i | \(0.601244\pi\) | |||||||
\(48\) | 1.47702 | − | 4.54580i | 0.213189 | − | 0.656129i | ||||
\(49\) | −6.37907 | −0.911295 | ||||||||
\(50\) | −1.83988 | − | 7.73832i | −0.260199 | − | 1.09436i | ||||
\(51\) | 4.29380 | 0.601253 | ||||||||
\(52\) | 0.163987 | − | 0.504700i | 0.0227409 | − | 0.0699894i | ||||
\(53\) | −8.13177 | − | 5.90807i | −1.11698 | − | 0.811536i | −0.133235 | − | 0.991084i | \(-0.542536\pi\) |
−0.983749 | + | 0.179548i | \(0.942536\pi\) | |||||||
\(54\) | 1.28699 | + | 0.935054i | 0.175137 | + | 0.127245i | ||||
\(55\) | 0.375445 | − | 9.29609i | 0.0506251 | − | 1.25348i | ||||
\(56\) | 1.49010 | − | 1.08262i | 0.199123 | − | 0.144672i | ||||
\(57\) | 6.79340 | 0.899807 | ||||||||
\(58\) | 13.5254 | − | 9.82676i | 1.77597 | − | 1.29032i | ||||
\(59\) | −1.50018 | − | 4.61708i | −0.195307 | − | 0.601093i | −0.999973 | − | 0.00736530i | \(-0.997656\pi\) |
0.804666 | − | 0.593728i | \(-0.202344\pi\) | |||||||
\(60\) | 0.658170 | + | 0.987362i | 0.0849694 | + | 0.127468i | ||||
\(61\) | −1.01523 | + | 3.12456i | −0.129987 | + | 0.400059i | −0.994777 | − | 0.102076i | \(-0.967452\pi\) |
0.864790 | + | 0.502134i | \(0.167452\pi\) | |||||||
\(62\) | −3.71521 | − | 11.4342i | −0.471832 | − | 1.45215i | ||||
\(63\) | 0.243503 | + | 0.749425i | 0.0306785 | + | 0.0944187i | ||||
\(64\) | 1.51427 | − | 4.66046i | 0.189284 | − | 0.582557i | ||||
\(65\) | −1.24026 | − | 1.86058i | −0.153835 | − | 0.230777i | ||||
\(66\) | 2.04536 | + | 6.29497i | 0.251766 | + | 0.774857i | ||||
\(67\) | 3.96603 | − | 2.88149i | 0.484527 | − | 0.352030i | −0.318549 | − | 0.947907i | \(-0.603195\pi\) |
0.803076 | + | 0.595877i | \(0.203195\pi\) | |||||||
\(68\) | −2.27861 | −0.276322 | ||||||||
\(69\) | −6.28464 | + | 4.56606i | −0.756582 | + | 0.549689i | ||||
\(70\) | −0.113114 | + | 2.80073i | −0.0135198 | + | 0.334751i | ||||
\(71\) | −2.87672 | − | 2.09006i | −0.341404 | − | 0.248045i | 0.403850 | − | 0.914825i | \(-0.367672\pi\) |
−0.745254 | + | 0.666781i | \(0.767672\pi\) | |||||||
\(72\) | 1.89101 | + | 1.37390i | 0.222858 | + | 0.161916i | ||||
\(73\) | −0.438671 | + | 1.35009i | −0.0513425 | + | 0.158016i | −0.973440 | − | 0.228941i | \(-0.926474\pi\) |
0.922098 | + | 0.386957i | \(0.126474\pi\) | |||||||
\(74\) | 1.61005 | 0.187165 | ||||||||
\(75\) | 4.98372 | + | 0.403217i | 0.575470 | + | 0.0465595i | ||||
\(76\) | −3.60507 | −0.413530 | ||||||||
\(77\) | −1.01315 | + | 3.11815i | −0.115459 | + | 0.355346i | ||||
\(78\) | 1.28699 | + | 0.935054i | 0.145723 | + | 0.105874i | ||||
\(79\) | −1.26087 | − | 0.916074i | −0.141859 | − | 0.103066i | 0.514593 | − | 0.857435i | \(-0.327943\pi\) |
−0.656451 | + | 0.754369i | \(0.727943\pi\) | |||||||
\(80\) | 5.92809 | + | 8.89309i | 0.662780 | + | 0.994277i | ||||
\(81\) | −0.809017 | + | 0.587785i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | 14.7697 | 1.63104 | ||||||||
\(83\) | 0.857284 | − | 0.622853i | 0.0940991 | − | 0.0683670i | −0.539741 | − | 0.841831i | \(-0.681478\pi\) |
0.633840 | + | 0.773464i | \(0.281478\pi\) | |||||||
\(84\) | −0.129221 | − | 0.397700i | −0.0140991 | − | 0.0433926i | ||||
\(85\) | −5.95232 | + | 7.53349i | −0.645620 | + | 0.817122i | ||||
\(86\) | −3.31152 | + | 10.1918i | −0.357091 | + | 1.09901i | ||||
\(87\) | 3.24755 | + | 9.99493i | 0.348174 | + | 1.07157i | ||||
\(88\) | 3.00530 | + | 9.24936i | 0.320366 | + | 0.985985i | ||||
\(89\) | 1.77846 | − | 5.47354i | 0.188516 | − | 0.580194i | −0.811475 | − | 0.584387i | \(-0.801335\pi\) |
0.999991 | + | 0.00419354i | \(0.00133485\pi\) | |||||||
\(90\) | −3.42466 | + | 0.961805i | −0.360991 | + | 0.101383i | ||||
\(91\) | 0.243503 | + | 0.749425i | 0.0255261 | + | 0.0785611i | ||||
\(92\) | 3.33509 | − | 2.42309i | 0.347707 | − | 0.252624i | ||||
\(93\) | 7.55758 | 0.783684 | ||||||||
\(94\) | 5.38736 | − | 3.91415i | 0.555664 | − | 0.403714i | ||||
\(95\) | −9.41741 | + | 11.9190i | −0.966206 | + | 1.22287i | ||||
\(96\) | −2.36945 | − | 1.72151i | −0.241831 | − | 0.175701i | ||||
\(97\) | −9.85384 | − | 7.15923i | −1.00051 | − | 0.726910i | −0.0383090 | − | 0.999266i | \(-0.512197\pi\) |
−0.962197 | + | 0.272356i | \(0.912197\pi\) | |||||||
\(98\) | −3.13587 | + | 9.65121i | −0.316770 | + | 0.974919i | ||||
\(99\) | −4.16072 | −0.418169 | ||||||||
\(100\) | −2.64472 | − | 0.213977i | −0.264472 | − | 0.0213977i | ||||
\(101\) | −4.34616 | −0.432459 | −0.216230 | − | 0.976343i | \(-0.569376\pi\) | ||||
−0.216230 | + | 0.976343i | \(0.569376\pi\) | |||||||
\(102\) | 2.11078 | − | 6.49630i | 0.208998 | − | 0.643230i | ||||
\(103\) | −7.15893 | − | 5.20127i | −0.705390 | − | 0.512496i | 0.176293 | − | 0.984338i | \(-0.443589\pi\) |
−0.881683 | + | 0.471842i | \(0.843589\pi\) | |||||||
\(104\) | 1.89101 | + | 1.37390i | 0.185429 | + | 0.134722i | ||||
\(105\) | −1.65243 | − | 0.611671i | −0.161260 | − | 0.0596929i | ||||
\(106\) | −12.9361 | + | 9.39862i | −1.25646 | + | 0.912875i | ||||
\(107\) | 2.56968 | 0.248420 | 0.124210 | − | 0.992256i | \(-0.460360\pi\) | ||||
0.124210 | + | 0.992256i | \(0.460360\pi\) | |||||||
\(108\) | 0.429324 | − | 0.311922i | 0.0413117 | − | 0.0300147i | ||||
\(109\) | −3.35662 | − | 10.3306i | −0.321506 | − | 0.989494i | −0.972993 | − | 0.230834i | \(-0.925855\pi\) |
0.651487 | − | 0.758660i | \(-0.274145\pi\) | |||||||
\(110\) | −13.8799 | − | 5.13786i | −1.32340 | − | 0.489876i | ||||
\(111\) | −0.312755 | + | 0.962562i | −0.0296854 | + | 0.0913623i | ||||
\(112\) | −1.16388 | − | 3.58205i | −0.109976 | − | 0.338472i | ||||
\(113\) | −0.0985361 | − | 0.303263i | −0.00926949 | − | 0.0285286i | 0.946315 | − | 0.323247i | \(-0.104774\pi\) |
−0.955584 | + | 0.294718i | \(0.904774\pi\) | |||||||
\(114\) | 3.33955 | − | 10.2781i | 0.312777 | − | 0.962629i | ||||
\(115\) | 0.700972 | − | 17.3562i | 0.0653660 | − | 1.61847i | ||||
\(116\) | −1.72339 | − | 5.30404i | −0.160013 | − | 0.492468i | ||||
\(117\) | −0.809017 | + | 0.587785i | −0.0747936 | + | 0.0543408i | ||||
\(118\) | −7.72289 | −0.710949 | ||||||||
\(119\) | 2.73730 | − | 1.98876i | 0.250927 | − | 0.182309i | ||||
\(120\) | −5.03194 | + | 1.41321i | −0.459352 | + | 0.129007i | ||||
\(121\) | −5.10622 | − | 3.70988i | −0.464202 | − | 0.337262i | ||||
\(122\) | 4.22822 | + | 3.07198i | 0.382805 | + | 0.278124i | ||||
\(123\) | −2.86903 | + | 8.82997i | −0.258692 | + | 0.796172i | ||||
\(124\) | −4.01061 | −0.360163 | ||||||||
\(125\) | −7.61617 | + | 8.18499i | −0.681211 | + | 0.732087i | ||||
\(126\) | 1.25355 | 0.111675 | ||||||||
\(127\) | 0.196541 | − | 0.604892i | 0.0174402 | − | 0.0536755i | −0.941958 | − | 0.335732i | \(-0.891016\pi\) |
0.959398 | + | 0.282056i | \(0.0910165\pi\) | |||||||
\(128\) | −11.0455 | − | 8.02506i | −0.976297 | − | 0.709322i | ||||
\(129\) | −5.44986 | − | 3.95955i | −0.479833 | − | 0.348619i | ||||
\(130\) | −3.42466 | + | 0.961805i | −0.300363 | + | 0.0843559i | ||||
\(131\) | −2.72677 | + | 1.98111i | −0.238239 | + | 0.173090i | −0.700498 | − | 0.713654i | \(-0.747039\pi\) |
0.462260 | + | 0.886745i | \(0.347039\pi\) | |||||||
\(132\) | 2.20799 | 0.192181 | ||||||||
\(133\) | 4.33079 | − | 3.14650i | 0.375527 | − | 0.272836i | ||||
\(134\) | −2.40990 | − | 7.41690i | −0.208183 | − | 0.640722i | ||||
\(135\) | 0.0902356 | − | 2.23425i | 0.00776624 | − | 0.192293i | ||||
\(136\) | 3.10142 | − | 9.54519i | 0.265945 | − | 0.818494i | ||||
\(137\) | −5.95641 | − | 18.3320i | −0.508891 | − | 1.56620i | −0.794130 | − | 0.607748i | \(-0.792073\pi\) |
0.285239 | − | 0.958456i | \(-0.407927\pi\) | |||||||
\(138\) | 3.81877 | + | 11.7530i | 0.325075 | + | 1.00048i | ||||
\(139\) | −6.80052 | + | 20.9299i | −0.576813 | + | 1.77525i | 0.0531091 | + | 0.998589i | \(0.483087\pi\) |
−0.629922 | + | 0.776658i | \(0.716913\pi\) | |||||||
\(140\) | 0.876900 | + | 0.324597i | 0.0741116 | + | 0.0274335i | ||||
\(141\) | 1.29355 | + | 3.98114i | 0.108937 | + | 0.335272i | ||||
\(142\) | −4.57631 | + | 3.32489i | −0.384036 | + | 0.279018i | ||||
\(143\) | −4.16072 | −0.347937 | ||||||||
\(144\) | 3.86688 | − | 2.80946i | 0.322240 | − | 0.234121i | ||||
\(145\) | −22.0381 | − | 8.15772i | −1.83016 | − | 0.677462i | ||||
\(146\) | 1.82697 | + | 1.32737i | 0.151201 | + | 0.109854i | ||||
\(147\) | −5.16077 | − | 3.74952i | −0.425653 | − | 0.309255i | ||||
\(148\) | 0.165971 | − | 0.510806i | 0.0136427 | − | 0.0419880i | ||||
\(149\) | −8.33737 | −0.683024 | −0.341512 | − | 0.939877i | \(-0.610939\pi\) | ||||
−0.341512 | + | 0.939877i | \(0.610939\pi\) | |||||||
\(150\) | 3.05998 | − | 7.34189i | 0.249846 | − | 0.599463i | ||||
\(151\) | 19.5063 | 1.58740 | 0.793700 | − | 0.608310i | \(-0.208152\pi\) | ||||
0.793700 | + | 0.608310i | \(0.208152\pi\) | |||||||
\(152\) | 4.90688 | − | 15.1018i | 0.398001 | − | 1.22492i | ||||
\(153\) | 3.47376 | + | 2.52383i | 0.280837 | + | 0.204040i | ||||
\(154\) | 4.21956 | + | 3.06569i | 0.340021 | + | 0.247040i | ||||
\(155\) | −10.4768 | + | 13.2598i | −0.841514 | + | 1.06505i | ||||
\(156\) | 0.429324 | − | 0.311922i | 0.0343734 | − | 0.0249737i | ||||
\(157\) | 20.2711 | 1.61781 | 0.808903 | − | 0.587942i | \(-0.200062\pi\) | ||||
0.808903 | + | 0.587942i | \(0.200062\pi\) | |||||||
\(158\) | −2.00580 | + | 1.45730i | −0.159573 | + | 0.115936i | ||||
\(159\) | −3.10606 | − | 9.55947i | −0.246326 | − | 0.758115i | ||||
\(160\) | 6.30507 | − | 1.77076i | 0.498460 | − | 0.139991i | ||||
\(161\) | −1.89159 | + | 5.82172i | −0.149078 | + | 0.458815i | ||||
\(162\) | 0.491587 | + | 1.51295i | 0.0386227 | + | 0.118869i | ||||
\(163\) | −3.22466 | − | 9.92448i | −0.252575 | − | 0.777345i | −0.994298 | − | 0.106639i | \(-0.965991\pi\) |
0.741723 | − | 0.670706i | \(-0.234009\pi\) | |||||||
\(164\) | 1.52252 | − | 4.68583i | 0.118889 | − | 0.365902i | ||||
\(165\) | 5.76784 | − | 7.30001i | 0.449026 | − | 0.568305i | ||||
\(166\) | −0.520916 | − | 1.60321i | −0.0404309 | − | 0.124433i | ||||
\(167\) | −7.69442 | + | 5.59032i | −0.595412 | + | 0.432592i | −0.844248 | − | 0.535953i | \(-0.819952\pi\) |
0.248835 | + | 0.968546i | \(0.419952\pi\) | |||||||
\(168\) | 1.84187 | 0.142103 | ||||||||
\(169\) | −0.809017 | + | 0.587785i | −0.0622321 | + | 0.0452143i | ||||
\(170\) | 8.47171 | + | 12.7089i | 0.649750 | + | 0.974730i | ||||
\(171\) | 5.49597 | + | 3.99306i | 0.420288 | + | 0.305357i | ||||
\(172\) | 2.89209 | + | 2.10123i | 0.220520 | + | 0.160217i | ||||
\(173\) | −2.18038 | + | 6.71052i | −0.165771 | + | 0.510191i | −0.999092 | − | 0.0425980i | \(-0.986437\pi\) |
0.833321 | + | 0.552789i | \(0.186437\pi\) | |||||||
\(174\) | 16.7183 | 1.26741 | ||||||||
\(175\) | 3.36387 | − | 2.05126i | 0.254285 | − | 0.155061i | ||||
\(176\) | 19.8872 | 1.49905 | ||||||||
\(177\) | 1.50018 | − | 4.61708i | 0.112761 | − | 0.347041i | ||||
\(178\) | −7.40692 | − | 5.38144i | −0.555172 | − | 0.403356i | ||||
\(179\) | −11.2289 | − | 8.15830i | −0.839290 | − | 0.609780i | 0.0828823 | − | 0.996559i | \(-0.473587\pi\) |
−0.922172 | + | 0.386780i | \(0.873587\pi\) | |||||||
\(180\) | −0.0478856 | + | 1.18566i | −0.00356918 | + | 0.0883735i | ||||
\(181\) | −19.5769 | + | 14.2235i | −1.45514 | + | 1.05722i | −0.470544 | + | 0.882376i | \(0.655942\pi\) |
−0.984596 | + | 0.174845i | \(0.944058\pi\) | |||||||
\(182\) | 1.25355 | 0.0929190 | ||||||||
\(183\) | −2.65791 | + | 1.93108i | −0.196478 | + | 0.142750i | ||||
\(184\) | 5.61101 | + | 17.2689i | 0.413649 | + | 1.27308i | ||||
\(185\) | −1.25526 | − | 1.88309i | −0.0922885 | − | 0.138448i | ||||
\(186\) | 3.71521 | − | 11.4342i | 0.272412 | − | 0.838399i | ||||
\(187\) | 5.52069 | + | 16.9909i | 0.403713 | + | 1.24250i | ||||
\(188\) | −0.686452 | − | 2.11268i | −0.0500647 | − | 0.154083i | ||||
\(189\) | −0.243503 | + | 0.749425i | −0.0177122 | + | 0.0545127i | ||||
\(190\) | 13.4034 | + | 20.1073i | 0.972387 | + | 1.45874i | ||||
\(191\) | 7.05102 | + | 21.7008i | 0.510194 | + | 1.57021i | 0.791860 | + | 0.610703i | \(0.209113\pi\) |
−0.281666 | + | 0.959512i | \(0.590887\pi\) | |||||||
\(192\) | 3.96442 | − | 2.88032i | 0.286107 | − | 0.207869i | ||||
\(193\) | 9.46993 | 0.681660 | 0.340830 | − | 0.940125i | \(-0.389292\pi\) | ||||
0.340830 | + | 0.940125i | \(0.389292\pi\) | |||||||
\(194\) | −15.6756 | + | 11.3890i | −1.12544 | + | 0.817680i | ||||
\(195\) | 0.0902356 | − | 2.23425i | 0.00646191 | − | 0.159998i | ||||
\(196\) | 2.73869 | + | 1.98977i | 0.195620 | + | 0.142127i | ||||
\(197\) | −13.2850 | − | 9.65212i | −0.946518 | − | 0.687685i | 0.00346299 | − | 0.999994i | \(-0.498898\pi\) |
−0.949981 | + | 0.312309i | \(0.898898\pi\) | |||||||
\(198\) | −2.04536 | + | 6.29497i | −0.145357 | + | 0.447364i | ||||
\(199\) | −6.54247 | −0.463783 | −0.231892 | − | 0.972742i | \(-0.574492\pi\) | ||||
−0.231892 | + | 0.972742i | \(0.574492\pi\) | |||||||
\(200\) | 4.49611 | − | 10.7876i | 0.317923 | − | 0.762801i | ||||
\(201\) | 4.90228 | 0.345780 | ||||||||
\(202\) | −2.13652 | + | 6.57552i | −0.150325 | + | 0.462652i | ||||
\(203\) | 6.69966 | + | 4.86759i | 0.470224 | + | 0.341638i | ||||
\(204\) | −1.84343 | − | 1.33933i | −0.129066 | − | 0.0937719i | ||||
\(205\) | −11.5150 | − | 17.2744i | −0.804242 | − | 1.20649i | ||||
\(206\) | −11.3885 | + | 8.27422i | −0.793474 | + | 0.576492i | ||||
\(207\) | −7.76824 | −0.539930 | ||||||||
\(208\) | 3.86688 | − | 2.80946i | 0.268120 | − | 0.194801i | ||||
\(209\) | 8.73451 | + | 26.8820i | 0.604178 | + | 1.85947i | ||||
\(210\) | −1.73774 | + | 2.19935i | −0.119915 | + | 0.151770i | ||||
\(211\) | 1.74686 | − | 5.37627i | 0.120259 | − | 0.370118i | −0.872749 | − | 0.488169i | \(-0.837665\pi\) |
0.993007 | + | 0.118052i | \(0.0376648\pi\) | |||||||
\(212\) | 1.64830 | + | 5.07295i | 0.113206 | + | 0.348412i | ||||
\(213\) | −1.09881 | − | 3.38179i | −0.0752892 | − | 0.231716i | ||||
\(214\) | 1.26322 | − | 3.88779i | 0.0863520 | − | 0.265764i | ||||
\(215\) | 14.5020 | − | 4.07283i | 0.989026 | − | 0.277765i | ||||
\(216\) | 0.722302 | + | 2.22302i | 0.0491464 | + | 0.151257i | ||||
\(217\) | 4.81795 | − | 3.50045i | 0.327064 | − | 0.237626i | ||||
\(218\) | −17.2798 | −1.17033 | ||||||||
\(219\) | −1.14846 | + | 0.834401i | −0.0776054 | + | 0.0563836i | ||||
\(220\) | −3.06084 | + | 3.87392i | −0.206362 | + | 0.261180i | ||||
\(221\) | 3.47376 | + | 2.52383i | 0.233670 | + | 0.169771i | ||||
\(222\) | 1.30256 | + | 0.946366i | 0.0874222 | + | 0.0635159i | ||||
\(223\) | −0.121069 | + | 0.372611i | −0.00810735 | + | 0.0249519i | −0.955028 | − | 0.296514i | \(-0.904176\pi\) |
0.946921 | + | 0.321466i | \(0.104176\pi\) | |||||||
\(224\) | −2.30788 | −0.154201 | ||||||||
\(225\) | 3.79491 | + | 3.25556i | 0.252994 | + | 0.217038i | ||||
\(226\) | −0.507260 | −0.0337425 | ||||||||
\(227\) | 4.35357 | − | 13.3989i | 0.288956 | − | 0.889317i | −0.696228 | − | 0.717820i | \(-0.745140\pi\) |
0.985185 | − | 0.171496i | \(-0.0548601\pi\) | |||||||
\(228\) | −2.91657 | − | 2.11901i | −0.193154 | − | 0.140335i | ||||
\(229\) | 16.1869 | + | 11.7605i | 1.06966 | + | 0.777156i | 0.975852 | − | 0.218434i | \(-0.0700950\pi\) |
0.0938112 | + | 0.995590i | \(0.470095\pi\) | |||||||
\(230\) | −25.9144 | − | 9.59260i | −1.70875 | − | 0.632517i | ||||
\(231\) | −2.65246 | + | 1.92712i | −0.174519 | + | 0.126795i | ||||
\(232\) | 24.5646 | 1.61275 | ||||||||
\(233\) | 10.0239 | − | 7.28276i | 0.656685 | − | 0.477109i | −0.208857 | − | 0.977946i | \(-0.566974\pi\) |
0.865542 | + | 0.500837i | \(0.166974\pi\) | |||||||
\(234\) | 0.491587 | + | 1.51295i | 0.0321360 | + | 0.0989046i | ||||
\(235\) | −8.77811 | − | 3.24935i | −0.572621 | − | 0.211964i | ||||
\(236\) | −0.796107 | + | 2.45016i | −0.0518221 | + | 0.159492i | ||||
\(237\) | −0.481609 | − | 1.48224i | −0.0312838 | − | 0.0962818i | ||||
\(238\) | −1.66328 | − | 5.11904i | −0.107814 | − | 0.331818i | ||||
\(239\) | 4.62164 | − | 14.2239i | 0.298949 | − | 0.920071i | −0.682917 | − | 0.730496i | \(-0.739289\pi\) |
0.981866 | − | 0.189575i | \(-0.0607109\pi\) | |||||||
\(240\) | −0.431302 | + | 10.6791i | −0.0278404 | + | 0.689333i | ||||
\(241\) | 0.313790 | + | 0.965747i | 0.0202130 | + | 0.0622092i | 0.960654 | − | 0.277747i | \(-0.0895877\pi\) |
−0.940441 | + | 0.339956i | \(0.889588\pi\) | |||||||
\(242\) | −8.12302 | + | 5.90172i | −0.522167 | + | 0.379377i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 1.41048 | − | 1.02477i | 0.0902968 | − | 0.0656044i | ||||
\(245\) | 13.7327 | − | 3.85679i | 0.877352 | − | 0.246401i | ||||
\(246\) | 11.9489 | + | 8.68140i | 0.761835 | + | 0.553506i | ||||
\(247\) | 5.49597 | + | 3.99306i | 0.349700 | + | 0.254072i | ||||
\(248\) | 5.45885 | − | 16.8006i | 0.346638 | − | 1.06684i | ||||
\(249\) | 1.05966 | 0.0671533 | ||||||||
\(250\) | 8.63946 | + | 15.5465i | 0.546407 | + | 0.983248i | ||||
\(251\) | −24.4607 | −1.54395 | −0.771973 | − | 0.635656i | \(-0.780730\pi\) | ||||
−0.771973 | + | 0.635656i | \(0.780730\pi\) | |||||||
\(252\) | 0.129221 | − | 0.397700i | 0.00814013 | − | 0.0250527i | ||||
\(253\) | −26.1487 | − | 18.9981i | −1.64395 | − | 1.19440i | ||||
\(254\) | −0.818554 | − | 0.594714i | −0.0513606 | − | 0.0373157i | ||||
\(255\) | −9.24361 | + | 2.59604i | −0.578857 | + | 0.162570i | ||||
\(256\) | −9.64251 | + | 7.00569i | −0.602657 | + | 0.437856i | ||||
\(257\) | −7.54665 | −0.470747 | −0.235374 | − | 0.971905i | \(-0.575631\pi\) | ||||
−0.235374 | + | 0.971905i | \(0.575631\pi\) | |||||||
\(258\) | −8.66968 | + | 6.29889i | −0.539751 | + | 0.392152i | ||||
\(259\) | 0.246449 | + | 0.758492i | 0.0153136 | + | 0.0471304i | ||||
\(260\) | −0.0478856 | + | 1.18566i | −0.00296974 | + | 0.0735312i | ||||
\(261\) | −3.24755 | + | 9.99493i | −0.201018 | + | 0.618671i | ||||
\(262\) | 1.65688 | + | 5.09935i | 0.102362 | + | 0.315039i | ||||
\(263\) | −7.37917 | − | 22.7107i | −0.455019 | − | 1.40040i | −0.871113 | − | 0.491083i | \(-0.836601\pi\) |
0.416094 | − | 0.909322i | \(-0.363399\pi\) | |||||||
\(264\) | −3.00530 | + | 9.24936i | −0.184963 | + | 0.569259i | ||||
\(265\) | 21.0779 | + | 7.80230i | 1.29481 | + | 0.479292i | ||||
\(266\) | −2.63154 | − | 8.09904i | −0.161350 | − | 0.496584i | ||||
\(267\) | 4.65607 | − | 3.38283i | 0.284947 | − | 0.207026i | ||||
\(268\) | −2.60151 | −0.158912 | ||||||||
\(269\) | 2.99009 | − | 2.17242i | 0.182309 | − | 0.132455i | −0.492888 | − | 0.870093i | \(-0.664059\pi\) |
0.675197 | + | 0.737638i | \(0.264059\pi\) | |||||||
\(270\) | −3.33594 | − | 1.23485i | −0.203019 | − | 0.0751505i | ||||
\(271\) | 15.3894 | + | 11.1811i | 0.934840 | + | 0.679201i | 0.947173 | − | 0.320723i | \(-0.103926\pi\) |
−0.0123334 | + | 0.999924i | \(0.503926\pi\) | |||||||
\(272\) | −16.6036 | − | 12.0632i | −1.00674 | − | 0.731442i | ||||
\(273\) | −0.243503 | + | 0.749425i | −0.0147375 | + | 0.0453573i | ||||
\(274\) | −30.6634 | −1.85244 | ||||||||
\(275\) | 4.81217 | + | 20.2394i | 0.290185 | + | 1.22048i | ||||
\(276\) | 4.12240 | 0.248139 | ||||||||
\(277\) | −8.51197 | + | 26.1971i | −0.511434 | + | 1.57403i | 0.278243 | + | 0.960511i | \(0.410248\pi\) |
−0.789677 | + | 0.613523i | \(0.789752\pi\) | |||||||
\(278\) | 28.3228 | + | 20.5777i | 1.69869 | + | 1.23417i | ||||
\(279\) | 6.11421 | + | 4.44223i | 0.366048 | + | 0.265950i | ||||
\(280\) | −2.55331 | + | 3.23156i | −0.152589 | + | 0.193123i | ||||
\(281\) | 6.94375 | − | 5.04493i | 0.414229 | − | 0.300955i | −0.361082 | − | 0.932534i | \(-0.617593\pi\) |
0.775312 | + | 0.631579i | \(0.217593\pi\) | |||||||
\(282\) | 6.65915 | 0.396547 | ||||||||
\(283\) | 13.8592 | − | 10.0693i | 0.823847 | − | 0.598560i | −0.0939649 | − | 0.995576i | \(-0.529954\pi\) |
0.917812 | + | 0.397016i | \(0.129954\pi\) | |||||||
\(284\) | 0.583109 | + | 1.79463i | 0.0346012 | + | 0.106491i | ||||
\(285\) | −14.6247 | + | 4.10729i | −0.866291 | + | 0.243295i | ||||
\(286\) | −2.04536 | + | 6.29497i | −0.120945 | + | 0.372229i | ||||
\(287\) | 2.26077 | + | 6.95795i | 0.133449 | + | 0.410715i | ||||
\(288\) | −0.905051 | − | 2.78546i | −0.0533306 | − | 0.164135i | ||||
\(289\) | 0.443975 | − | 1.36641i | 0.0261162 | − | 0.0803773i | ||||
\(290\) | −23.1759 | + | 29.3323i | −1.36093 | + | 1.72245i | ||||
\(291\) | −3.76383 | − | 11.5839i | −0.220640 | − | 0.679059i | ||||
\(292\) | 0.609455 | − | 0.442795i | 0.0356656 | − | 0.0259126i | ||||
\(293\) | 22.4851 | 1.31360 | 0.656798 | − | 0.754067i | \(-0.271911\pi\) | ||||
0.656798 | + | 0.754067i | \(0.271911\pi\) | |||||||
\(294\) | −8.20981 | + | 5.96477i | −0.478806 | + | 0.347873i | ||||
\(295\) | 6.02105 | + | 9.03255i | 0.350559 | + | 0.525896i | ||||
\(296\) | 1.91389 | + | 1.39052i | 0.111242 | + | 0.0808224i | ||||
\(297\) | −3.36610 | − | 2.44561i | −0.195321 | − | 0.141909i | ||||
\(298\) | −4.09854 | + | 12.6140i | −0.237422 | + | 0.730710i | ||||
\(299\) | −7.76824 | −0.449249 | ||||||||
\(300\) | −2.01386 | − | 1.72764i | −0.116270 | − | 0.0997454i | ||||
\(301\) | −5.30823 | −0.305961 | ||||||||
\(302\) | 9.58904 | − | 29.5120i | 0.551787 | − | 1.69823i | ||||
\(303\) | −3.51612 | − | 2.55461i | −0.201996 | − | 0.146758i | ||||
\(304\) | −26.2693 | − | 19.0858i | −1.50665 | − | 1.09464i | ||||
\(305\) | 0.296456 | − | 7.34029i | 0.0169750 | − | 0.420304i | ||||
\(306\) | 5.52609 | − | 4.01494i | 0.315905 | − | 0.229519i | ||||
\(307\) | −27.4151 | −1.56466 | −0.782332 | − | 0.622862i | \(-0.785970\pi\) | ||||
−0.782332 | + | 0.622862i | \(0.785970\pi\) | |||||||
\(308\) | 1.40759 | − | 1.02267i | 0.0802048 | − | 0.0582722i | ||||
\(309\) | −2.73447 | − | 8.41583i | −0.155558 | − | 0.478760i | ||||
\(310\) | 14.9112 | + | 22.3692i | 0.846897 | + | 1.27048i | ||||
\(311\) | −1.41132 | + | 4.34359i | −0.0800285 | + | 0.246302i | −0.983064 | − | 0.183264i | \(-0.941334\pi\) |
0.903035 | + | 0.429566i | \(0.141334\pi\) | |||||||
\(312\) | 0.722302 | + | 2.22302i | 0.0408923 | + | 0.125854i | ||||
\(313\) | −2.11462 | − | 6.50814i | −0.119526 | − | 0.367862i | 0.873338 | − | 0.487114i | \(-0.161950\pi\) |
−0.992864 | + | 0.119252i | \(0.961950\pi\) | |||||||
\(314\) | 9.96499 | − | 30.6691i | 0.562357 | − | 1.73076i | ||||
\(315\) | −0.977312 | − | 1.46612i | −0.0550653 | − | 0.0826068i | ||||
\(316\) | 0.255577 | + | 0.786585i | 0.0143773 | + | 0.0442488i | ||||
\(317\) | −24.7209 | + | 17.9608i | −1.38847 | + | 1.00878i | −0.392433 | + | 0.919780i | \(0.628367\pi\) |
−0.996032 | + | 0.0889986i | \(0.971633\pi\) | |||||||
\(318\) | −15.9899 | −0.896668 | ||||||||
\(319\) | −35.3753 | + | 25.7017i | −1.98064 | + | 1.43902i | ||||
\(320\) | −0.442181 | + | 10.9485i | −0.0247187 | + | 0.612038i | ||||
\(321\) | 2.07891 | + | 1.51042i | 0.116034 | + | 0.0843033i | ||||
\(322\) | 7.87808 | + | 5.72376i | 0.439028 | + | 0.318973i | ||||
\(323\) | 9.01387 | − | 27.7418i | 0.501545 | − | 1.54360i | ||||
\(324\) | 0.530673 | 0.0294819 | ||||||||
\(325\) | 3.79491 | + | 3.25556i | 0.210503 | + | 0.180586i | ||||
\(326\) | −16.6004 | −0.919413 | ||||||||
\(327\) | 3.35662 | − | 10.3306i | 0.185622 | − | 0.571285i | ||||
\(328\) | 17.5569 | + | 12.7558i | 0.969416 | + | 0.704322i | ||||
\(329\) | 2.66858 | + | 1.93884i | 0.147124 | + | 0.106892i | ||||
\(330\) | −8.20915 | − | 12.3150i | −0.451899 | − | 0.677921i | ||||
\(331\) | 12.0572 | − | 8.76007i | 0.662723 | − | 0.481497i | −0.204858 | − | 0.978792i | \(-0.565673\pi\) |
0.867582 | + | 0.497295i | \(0.165673\pi\) | |||||||
\(332\) | −0.562334 | −0.0308621 | ||||||||
\(333\) | −0.818804 | + | 0.594896i | −0.0448702 | + | 0.0326001i | ||||
\(334\) | 4.67540 | + | 14.3894i | 0.255827 | + | 0.787353i | ||||
\(335\) | −6.79583 | + | 8.60107i | −0.371296 | + | 0.469927i | ||||
\(336\) | 1.16388 | − | 3.58205i | 0.0634948 | − | 0.195417i | ||||
\(337\) | −0.951550 | − | 2.92857i | −0.0518342 | − | 0.159529i | 0.921789 | − | 0.387693i | \(-0.126728\pi\) |
−0.973623 | + | 0.228164i | \(0.926728\pi\) | |||||||
\(338\) | 0.491587 | + | 1.51295i | 0.0267388 | + | 0.0822936i | ||||
\(339\) | 0.0985361 | − | 0.303263i | 0.00535174 | − | 0.0164710i | ||||
\(340\) | 4.90534 | − | 1.37765i | 0.266029 | − | 0.0747134i | ||||
\(341\) | 9.71704 | + | 29.9060i | 0.526207 | + | 1.61950i | ||||
\(342\) | 8.74304 | − | 6.35219i | 0.472770 | − | 0.343487i | ||||
\(343\) | −10.5426 | −0.569247 | ||||||||
\(344\) | −12.7386 | + | 9.25513i | −0.686819 | + | 0.499003i | ||||
\(345\) | 10.7688 | − | 13.6294i | 0.579772 | − | 0.733783i | ||||
\(346\) | 9.08083 | + | 6.59761i | 0.488188 | + | 0.354690i | ||||
\(347\) | −14.8111 | − | 10.7609i | −0.795102 | − | 0.577675i | 0.114371 | − | 0.993438i | \(-0.463515\pi\) |
−0.909473 | + | 0.415763i | \(0.863515\pi\) | |||||||
\(348\) | 1.72339 | − | 5.30404i | 0.0923833 | − | 0.284327i | ||||
\(349\) | 8.31201 | 0.444932 | 0.222466 | − | 0.974940i | \(-0.428589\pi\) | ||||
0.222466 | + | 0.974940i | \(0.428589\pi\) | |||||||
\(350\) | −1.44981 | − | 6.09774i | −0.0774958 | − | 0.325938i | ||||
\(351\) | −1.00000 | −0.0533761 | ||||||||
\(352\) | 3.76567 | − | 11.5895i | 0.200711 | − | 0.617724i | ||||
\(353\) | −3.53676 | − | 2.56961i | −0.188243 | − | 0.136766i | 0.489672 | − | 0.871906i | \(-0.337116\pi\) |
−0.677915 | + | 0.735140i | \(0.737116\pi\) | |||||||
\(354\) | −6.24795 | − | 4.53940i | −0.332075 | − | 0.241266i | ||||
\(355\) | 7.45660 | + | 2.76017i | 0.395755 | + | 0.146495i | ||||
\(356\) | −2.47085 | + | 1.79518i | −0.130955 | + | 0.0951443i | ||||
\(357\) | 3.38348 | 0.179073 | ||||||||
\(358\) | −17.8631 | + | 12.9783i | −0.944094 | + | 0.685924i | ||||
\(359\) | −4.44454 | − | 13.6789i | −0.234574 | − | 0.721943i | −0.997178 | − | 0.0750778i | \(-0.976079\pi\) |
0.762604 | − | 0.646866i | \(-0.223921\pi\) | |||||||
\(360\) | −4.90159 | − | 1.81440i | −0.258336 | − | 0.0956271i | ||||
\(361\) | 8.38988 | − | 25.8214i | 0.441573 | − | 1.35902i | ||||
\(362\) | 11.8956 | + | 36.6109i | 0.625220 | + | 1.92423i | ||||
\(363\) | −1.95040 | − | 6.00272i | −0.102370 | − | 0.315061i | ||||
\(364\) | 0.129221 | − | 0.397700i | 0.00677300 | − | 0.0208451i | ||||
\(365\) | 0.128096 | − | 3.17167i | 0.00670483 | − | 0.166013i | ||||
\(366\) | 1.61504 | + | 4.97057i | 0.0844193 | + | 0.259816i | ||||
\(367\) | 9.61211 | − | 6.98361i | 0.501748 | − | 0.364541i | −0.307936 | − | 0.951407i | \(-0.599638\pi\) |
0.809684 | + | 0.586866i | \(0.199638\pi\) | |||||||
\(368\) | 37.1301 | 1.93554 | ||||||||
\(369\) | −7.51122 | + | 5.45722i | −0.391019 | + | 0.284092i | ||||
\(370\) | −3.46609 | + | 0.973440i | −0.180193 | + | 0.0506068i | ||||
\(371\) | −6.40777 | − | 4.65552i | −0.332675 | − | 0.241702i | ||||
\(372\) | −3.24465 | − | 2.35737i | −0.168227 | − | 0.122224i | ||||
\(373\) | −2.02655 | + | 6.23708i | −0.104931 | + | 0.322944i | −0.989714 | − | 0.143059i | \(-0.954306\pi\) |
0.884783 | + | 0.466002i | \(0.154306\pi\) | |||||||
\(374\) | 28.4203 | 1.46958 | ||||||||
\(375\) | −10.9726 | + | 2.14512i | −0.566624 | + | 0.110774i | ||||
\(376\) | 9.78446 | 0.504595 | ||||||||
\(377\) | −3.24755 | + | 9.99493i | −0.167257 | + | 0.514765i | ||||
\(378\) | 1.01414 | + | 0.736816i | 0.0521617 | + | 0.0378977i | ||||
\(379\) | 23.9637 | + | 17.4107i | 1.23093 | + | 0.894325i | 0.996960 | − | 0.0779178i | \(-0.0248272\pi\) |
0.233973 | + | 0.972243i | \(0.424827\pi\) | |||||||
\(380\) | 7.76093 | − | 2.17963i | 0.398127 | − | 0.111813i | ||||
\(381\) | 0.514552 | − | 0.373844i | 0.0263613 | − | 0.0191526i | ||||
\(382\) | 36.2984 | 1.85719 | ||||||||
\(383\) | 27.3820 | − | 19.8942i | 1.39915 | − | 1.01654i | 0.404364 | − | 0.914598i | \(-0.367493\pi\) |
0.994790 | − | 0.101946i | \(-0.0325069\pi\) | |||||||
\(384\) | −4.21902 | − | 12.9848i | −0.215301 | − | 0.662629i | ||||
\(385\) | 0.295848 | − | 7.32524i | 0.0150778 | − | 0.373329i | ||||
\(386\) | 4.65529 | − | 14.3275i | 0.236948 | − | 0.729252i | ||||
\(387\) | −2.08166 | − | 6.40669i | −0.105817 | − | 0.325670i | ||||
\(388\) | 1.99736 | + | 6.14726i | 0.101401 | + | 0.312080i | ||||
\(389\) | 6.83771 | − | 21.0443i | 0.346685 | − | 1.06699i | −0.613990 | − | 0.789314i | \(-0.710436\pi\) |
0.960675 | − | 0.277674i | \(-0.0895635\pi\) | |||||||
\(390\) | −3.33594 | − | 1.23485i | −0.168922 | − | 0.0625290i | ||||
\(391\) | 10.3073 | + | 31.7228i | 0.521265 | + | 1.60429i | ||||
\(392\) | −12.0629 | + | 8.76420i | −0.609268 | + | 0.442659i | ||||
\(393\) | −3.37047 | −0.170018 | ||||||||
\(394\) | −21.1339 | + | 15.3547i | −1.06471 | + | 0.773558i | ||||
\(395\) | 3.26823 | + | 1.20978i | 0.164442 | + | 0.0608708i | ||||
\(396\) | 1.78630 | + | 1.29782i | 0.0897649 | + | 0.0652180i | ||||
\(397\) | 21.9154 | + | 15.9225i | 1.09990 | + | 0.799126i | 0.981044 | − | 0.193785i | \(-0.0620764\pi\) |
0.118859 | + | 0.992911i | \(0.462076\pi\) | |||||||
\(398\) | −3.21619 | + | 9.89843i | −0.161213 | + | 0.496163i | ||||
\(399\) | 5.35314 | 0.267992 | ||||||||
\(400\) | −18.1386 | − | 15.5607i | −0.906932 | − | 0.778036i | ||||
\(401\) | −17.5844 | −0.878125 | −0.439063 | − | 0.898456i | \(-0.644689\pi\) | ||||
−0.439063 | + | 0.898456i | \(0.644689\pi\) | |||||||
\(402\) | 2.40990 | − | 7.41690i | 0.120195 | − | 0.369921i | ||||
\(403\) | 6.11421 | + | 4.44223i | 0.304570 | + | 0.221283i | ||||
\(404\) | 1.86591 | + | 1.35566i | 0.0928325 | + | 0.0674468i | ||||
\(405\) | 1.38626 | − | 1.75450i | 0.0688838 | − | 0.0871820i | ||||
\(406\) | 10.6579 | − | 7.74341i | 0.528942 | − | 0.384299i | ||||
\(407\) | −4.21106 | −0.208734 | ||||||||
\(408\) | 8.11963 | − | 5.89925i | 0.401981 | − | 0.292057i | ||||
\(409\) | −3.28557 | − | 10.1120i | −0.162461 | − | 0.500004i | 0.836379 | − | 0.548151i | \(-0.184668\pi\) |
−0.998840 | + | 0.0481475i | \(0.984668\pi\) | |||||||
\(410\) | −31.7958 | + | 8.92976i | −1.57028 | + | 0.441009i | ||||
\(411\) | 5.95641 | − | 18.3320i | 0.293808 | − | 0.904249i | ||||
\(412\) | 1.45111 | + | 4.46606i | 0.0714910 | + | 0.220027i | ||||
\(413\) | −1.18213 | − | 3.63823i | −0.0581689 | − | 0.179025i | ||||
\(414\) | −3.81877 | + | 11.7530i | −0.187682 | + | 0.577626i | ||||
\(415\) | −1.46896 | + | 1.85918i | −0.0721086 | + | 0.0912635i | ||||
\(416\) | −0.905051 | − | 2.78546i | −0.0443738 | − | 0.136568i | ||||
\(417\) | −17.8040 | + | 12.9354i | −0.871866 | + | 0.633447i | ||||
\(418\) | 44.9649 | 2.19931 | ||||||||
\(419\) | 5.98319 | − | 4.34704i | 0.292298 | − | 0.212367i | −0.431966 | − | 0.901890i | \(-0.642180\pi\) |
0.724264 | + | 0.689523i | \(0.242180\pi\) | |||||||
\(420\) | 0.518633 | + | 0.778033i | 0.0253067 | + | 0.0379641i | ||||
\(421\) | −15.3634 | − | 11.1621i | −0.748764 | − | 0.544009i | 0.146679 | − | 0.989184i | \(-0.453141\pi\) |
−0.895444 | + | 0.445175i | \(0.853141\pi\) | |||||||
\(422\) | −7.27529 | − | 5.28581i | −0.354156 | − | 0.257309i | ||||
\(423\) | −1.29355 | + | 3.98114i | −0.0628945 | + | 0.193569i | ||||
\(424\) | −23.4944 | −1.14099 | ||||||||
\(425\) | 8.25928 | − | 19.8167i | 0.400634 | − | 0.961252i | ||||
\(426\) | −5.65664 | −0.274065 | ||||||||
\(427\) | −0.799994 | + | 2.46213i | −0.0387144 | + | 0.119151i | ||||
\(428\) | −1.10322 | − | 0.801539i | −0.0533263 | − | 0.0387438i | ||||
\(429\) | −3.36610 | − | 2.44561i | −0.162517 | − | 0.118075i | ||||
\(430\) | 0.966993 | − | 23.9429i | 0.0466326 | − | 1.15463i | ||||
\(431\) | 29.7999 | − | 21.6509i | 1.43541 | − | 1.04289i | 0.446433 | − | 0.894817i | \(-0.352694\pi\) |
0.988977 | − | 0.148069i | \(-0.0473057\pi\) | |||||||
\(432\) | 4.77973 | 0.229965 | ||||||||
\(433\) | 24.0650 | − | 17.4842i | 1.15649 | − | 0.840238i | 0.167158 | − | 0.985930i | \(-0.446541\pi\) |
0.989330 | + | 0.145692i | \(0.0465409\pi\) | |||||||
\(434\) | −2.92756 | − | 9.01009i | −0.140527 | − | 0.432498i | ||||
\(435\) | −13.0342 | − | 19.5534i | −0.624942 | − | 0.937514i | ||||
\(436\) | −1.78127 | + | 5.48218i | −0.0853074 | + | 0.262549i | ||||
\(437\) | 16.3077 | + | 50.1899i | 0.780102 | + | 2.40091i | ||||
\(438\) | 0.697841 | + | 2.14774i | 0.0333442 | + | 0.102623i | ||||
\(439\) | 4.67822 | − | 14.3981i | 0.223279 | − | 0.687183i | −0.775182 | − | 0.631738i | \(-0.782342\pi\) |
0.998462 | − | 0.0554457i | \(-0.0176580\pi\) | |||||||
\(440\) | −12.0619 | − | 18.0948i | −0.575029 | − | 0.862637i | ||||
\(441\) | −1.97124 | − | 6.06685i | −0.0938686 | − | 0.288898i | ||||
\(442\) | 5.52609 | − | 4.01494i | 0.262849 | − | 0.190971i | ||||
\(443\) | −28.0187 | −1.33121 | −0.665605 | − | 0.746304i | \(-0.731826\pi\) | ||||
−0.665605 | + | 0.746304i | \(0.731826\pi\) | |||||||
\(444\) | 0.434518 | − | 0.315696i | 0.0206213 | − | 0.0149822i | ||||
\(445\) | −0.519326 | + | 12.8586i | −0.0246184 | + | 0.609555i | ||||
\(446\) | 0.504225 | + | 0.366341i | 0.0238758 | + | 0.0173468i | ||||
\(447\) | −6.74507 | − | 4.90058i | −0.319031 | − | 0.231790i | ||||
\(448\) | 1.19324 | − | 3.67240i | 0.0563751 | − | 0.173505i | ||||
\(449\) | 17.8405 | 0.841947 | 0.420973 | − | 0.907073i | \(-0.361689\pi\) | ||||
0.420973 | + | 0.907073i | \(0.361689\pi\) | |||||||
\(450\) | 6.79103 | − | 4.14111i | 0.320132 | − | 0.195214i | ||||
\(451\) | −38.6297 | −1.81900 | ||||||||
\(452\) | −0.0522905 | + | 0.160934i | −0.00245954 | + | 0.00756968i | ||||
\(453\) | 15.7809 | + | 11.4655i | 0.741452 | + | 0.538697i | ||||
\(454\) | −18.1317 | − | 13.1735i | −0.850963 | − | 0.618261i | ||||
\(455\) | −0.977312 | − | 1.46612i | −0.0458171 | − | 0.0687330i | ||||
\(456\) | 12.8464 | − | 9.33345i | 0.601587 | − | 0.437079i | ||||
\(457\) | −18.0977 | −0.846574 | −0.423287 | − | 0.905996i | \(-0.639124\pi\) | ||||
−0.423287 | + | 0.905996i | \(0.639124\pi\) | |||||||
\(458\) | 25.7503 | − | 18.7087i | 1.20323 | − | 0.874200i | ||||
\(459\) | 1.32686 | + | 4.08365i | 0.0619324 | + | 0.190608i | ||||
\(460\) | −5.71471 | + | 7.23277i | −0.266450 | + | 0.337229i | ||||
\(461\) | −8.05528 | + | 24.7916i | −0.375172 | + | 1.15466i | 0.568191 | + | 0.822897i | \(0.307643\pi\) |
−0.943363 | + | 0.331763i | \(0.892357\pi\) | |||||||
\(462\) | 1.61173 | + | 4.96039i | 0.0749843 | + | 0.230778i | ||||
\(463\) | −6.14938 | − | 18.9258i | −0.285786 | − | 0.879559i | −0.986162 | − | 0.165785i | \(-0.946984\pi\) |
0.700376 | − | 0.713774i | \(-0.253016\pi\) | |||||||
\(464\) | 15.5224 | − | 47.7731i | 0.720610 | − | 2.21781i | ||||
\(465\) | −16.2698 | + | 4.56932i | −0.754494 | + | 0.211897i | ||||
\(466\) | −6.09085 | − | 18.7457i | −0.282153 | − | 0.868378i | ||||
\(467\) | 25.9689 | − | 18.8675i | 1.20170 | − | 0.873084i | 0.207247 | − | 0.978289i | \(-0.433550\pi\) |
0.994451 | + | 0.105204i | \(0.0335496\pi\) | |||||||
\(468\) | 0.530673 | 0.0245304 | ||||||||
\(469\) | 3.12520 | − | 2.27059i | 0.144308 | − | 0.104846i | ||||
\(470\) | −9.23131 | + | 11.6835i | −0.425808 | + | 0.538920i | ||||
\(471\) | 16.3996 | + | 11.9150i | 0.755655 | + | 0.549016i | ||||
\(472\) | −9.18027 | − | 6.66986i | −0.422556 | − | 0.307005i | ||||
\(473\) | 8.66122 | − | 26.6565i | 0.398243 | − | 1.22567i | ||||
\(474\) | −2.47930 | −0.113878 | ||||||||
\(475\) | 13.0673 | − | 31.3528i | 0.599570 | − | 1.43857i | ||||
\(476\) | −1.79552 | −0.0822977 | ||||||||
\(477\) | 3.10606 | − | 9.55947i | 0.142217 | − | 0.437698i | ||||
\(478\) | −19.2482 | − | 13.9846i | −0.880391 | − | 0.639641i | ||||
\(479\) | −3.45725 | − | 2.51184i | −0.157966 | − | 0.114769i | 0.505994 | − | 0.862537i | \(-0.331126\pi\) |
−0.663960 | + | 0.747768i | \(0.731126\pi\) | |||||||
\(480\) | 6.14174 | + | 2.27345i | 0.280331 | + | 0.103769i | ||||
\(481\) | −0.818804 | + | 0.594896i | −0.0373343 | + | 0.0271249i | ||||
\(482\) | 1.61538 | 0.0735786 | ||||||||
\(483\) | −4.95225 | + | 3.59802i | −0.225335 | + | 0.163715i | ||||
\(484\) | 1.03503 | + | 3.18548i | 0.0470466 | + | 0.144795i | ||||
\(485\) | 25.5416 | + | 9.45460i | 1.15978 | + | 0.429311i | ||||
\(486\) | −0.491587 | + | 1.51295i | −0.0222988 | + | 0.0686288i | ||||
\(487\) | 1.14232 | + | 3.51570i | 0.0517634 | + | 0.159311i | 0.973597 | − | 0.228276i | \(-0.0733087\pi\) |
−0.921833 | + | 0.387587i | \(0.873309\pi\) | |||||||
\(488\) | 2.37302 | + | 7.30340i | 0.107421 | + | 0.330609i | ||||
\(489\) | 3.22466 | − | 9.92448i | 0.145824 | − | 0.448800i | ||||
\(490\) | 0.915700 | − | 22.6729i | 0.0413671 | − | 1.02426i | ||||
\(491\) | 5.16872 | + | 15.9077i | 0.233261 | + | 0.717904i | 0.997347 | + | 0.0727899i | \(0.0231903\pi\) |
−0.764086 | + | 0.645114i | \(0.776810\pi\) | |||||||
\(492\) | 3.98600 | − | 2.89600i | 0.179703 | − | 0.130562i | ||||
\(493\) | 45.1248 | 2.03232 | ||||||||
\(494\) | 8.74304 | − | 6.35219i | 0.393368 | − | 0.285799i | ||||
\(495\) | 8.95712 | − | 2.51558i | 0.402593 | − | 0.113067i | ||||
\(496\) | −29.2243 | − | 21.2327i | −1.31221 | − | 0.953376i | ||||
\(497\) | −2.26683 | − | 1.64695i | −0.101681 | − | 0.0738759i | ||||
\(498\) | 0.520916 | − | 1.60321i | 0.0233428 | − | 0.0718417i | ||||
\(499\) | −34.9395 | −1.56411 | −0.782053 | − | 0.623212i | \(-0.785827\pi\) | ||||
−0.782053 | + | 0.623212i | \(0.785827\pi\) | |||||||
\(500\) | 5.82288 | − | 1.13836i | 0.260407 | − | 0.0509090i | ||||
\(501\) | −9.51083 | −0.424912 | ||||||||
\(502\) | −12.0246 | + | 37.0078i | −0.536682 | + | 1.65174i | ||||
\(503\) | −25.4898 | − | 18.5194i | −1.13653 | − | 0.825739i | −0.149900 | − | 0.988701i | \(-0.547895\pi\) |
−0.986632 | + | 0.162962i | \(0.947895\pi\) | |||||||
\(504\) | 1.49010 | + | 1.08262i | 0.0663744 | + | 0.0482238i | ||||
\(505\) | 9.35633 | − | 2.62769i | 0.416351 | − | 0.116931i | ||||
\(506\) | −41.5975 | + | 30.2224i | −1.84923 | + | 1.34355i | ||||
\(507\) | −1.00000 | −0.0444116 | ||||||||
\(508\) | −0.273059 | + | 0.198389i | −0.0121150 | + | 0.00880209i | ||||
\(509\) | 10.4145 | + | 32.0526i | 0.461615 | + | 1.42070i | 0.863190 | + | 0.504879i | \(0.168463\pi\) |
−0.401576 | + | 0.915826i | \(0.631537\pi\) | |||||||
\(510\) | −0.616365 | + | 15.2613i | −0.0272931 | + | 0.675781i | ||||
\(511\) | −0.345669 | + | 1.06386i | −0.0152915 | + | 0.0470624i | ||||
\(512\) | −2.57892 | − | 7.93710i | −0.113973 | − | 0.350773i | ||||
\(513\) | 2.09927 | + | 6.46090i | 0.0926853 | + | 0.285256i | ||||
\(514\) | −3.70984 | + | 11.4177i | −0.163634 | + | 0.503613i | ||||
\(515\) | 18.5563 | + | 6.86888i | 0.817688 | + | 0.302679i | ||||
\(516\) | 1.10468 | + | 3.39986i | 0.0486309 | + | 0.149671i | ||||
\(517\) | −14.0905 | + | 10.2374i | −0.619701 | + | 0.450239i | ||||
\(518\) | 1.26871 | 0.0557439 | ||||||||
\(519\) | −5.70831 | + | 4.14733i | −0.250567 | + | 0.182047i | ||||
\(520\) | −4.90159 | − | 1.81440i | −0.214949 | − | 0.0795665i | ||||
\(521\) | 20.7918 | + | 15.1062i | 0.910907 | + | 0.661813i | 0.941244 | − | 0.337727i | \(-0.109658\pi\) |
−0.0303369 | + | 0.999540i | \(0.509658\pi\) | |||||||
\(522\) | 13.5254 | + | 9.82676i | 0.591989 | + | 0.430105i | ||||
\(523\) | 3.56739 | − | 10.9793i | 0.155991 | − | 0.480091i | −0.842269 | − | 0.539058i | \(-0.818780\pi\) |
0.998260 | + | 0.0589664i | \(0.0187805\pi\) | |||||||
\(524\) | 1.78862 | 0.0781361 | ||||||||
\(525\) | 3.92713 | + | 0.317732i | 0.171394 | + | 0.0138670i | ||||
\(526\) | −37.9877 | −1.65634 | ||||||||
\(527\) | 10.0278 | − | 30.8625i | 0.436819 | − | 1.34439i | ||||
\(528\) | 16.0890 | + | 11.6894i | 0.700186 | + | 0.508715i | ||||
\(529\) | −30.2132 | − | 21.9512i | −1.31362 | − | 0.954399i | ||||
\(530\) | 22.1661 | − | 28.0543i | 0.962835 | − | 1.21860i | ||||
\(531\) | 3.92753 | − | 2.85352i | 0.170440 | − | 0.123832i | ||||
\(532\) | −2.84077 | −0.123163 | ||||||||
\(533\) | −7.51122 | + | 5.45722i | −0.325347 | + | 0.236378i | ||||
\(534\) | −2.82919 | − | 8.70735i | −0.122431 | − | 0.376804i | ||||
\(535\) | −5.53195 | + | 1.55363i | −0.239167 | + | 0.0671693i | ||||
\(536\) | 3.54092 | − | 10.8978i | 0.152945 | − | 0.470715i | ||||
\(537\) | −4.28907 | − | 13.2004i | −0.185087 | − | 0.569639i | ||||
\(538\) | −1.81688 | − | 5.59178i | −0.0783313 | − | 0.241079i | ||||
\(539\) | 8.20179 | − | 25.2425i | 0.353276 | − | 1.08727i | ||||
\(540\) | −0.735651 | + | 0.931069i | −0.0316574 | + | 0.0400668i | ||||
\(541\) | −5.55678 | − | 17.1020i | −0.238905 | − | 0.735273i | −0.996579 | − | 0.0826405i | \(-0.973665\pi\) |
0.757675 | − | 0.652632i | \(-0.226335\pi\) | |||||||
\(542\) | 24.4816 | − | 17.7869i | 1.05157 | − | 0.764014i | ||||
\(543\) | −24.1984 | −1.03845 | ||||||||
\(544\) | −10.1740 | + | 7.39182i | −0.436205 | + | 0.316922i | ||||
\(545\) | 13.4720 | + | 20.2101i | 0.577076 | + | 0.865707i | ||||
\(546\) | 1.01414 | + | 0.736816i | 0.0434012 | + | 0.0315328i | ||||
\(547\) | 13.9656 | + | 10.1466i | 0.597125 | + | 0.433836i | 0.844857 | − | 0.534992i | \(-0.179685\pi\) |
−0.247732 | + | 0.968828i | \(0.579685\pi\) | |||||||
\(548\) | −3.16091 | + | 9.72828i | −0.135027 | + | 0.415572i | ||||
\(549\) | −3.28535 | −0.140215 | ||||||||
\(550\) | 32.9868 | + | 2.66886i | 1.40656 | + | 0.113801i | ||||
\(551\) | 71.3938 | 3.04148 | ||||||||
\(552\) | −5.61101 | + | 17.2689i | −0.238821 | + | 0.735014i | ||||
\(553\) | −0.993554 | − | 0.721859i | −0.0422502 | − | 0.0306966i | ||||
\(554\) | 35.4506 | + | 25.7563i | 1.50615 | + | 1.09428i | ||||
\(555\) | 0.0913272 | − | 2.26128i | 0.00387663 | − | 0.0959858i | ||||
\(556\) | 9.44811 | − | 6.86445i | 0.400689 | − | 0.291118i | ||||
\(557\) | 27.1617 | 1.15088 | 0.575439 | − | 0.817845i | \(-0.304831\pi\) | ||||
0.575439 | + | 0.817845i | \(0.304831\pi\) | |||||||
\(558\) | 9.72654 | − | 7.06674i | 0.411757 | − | 0.299159i | ||||
\(559\) | −2.08166 | − | 6.40669i | −0.0880448 | − | 0.270974i | ||||
\(560\) | 4.67129 | + | 7.00768i | 0.197398 | + | 0.296129i | ||||
\(561\) | −5.52069 | + | 16.9909i | −0.233084 | + | 0.717358i | ||||
\(562\) | −4.21927 | − | 12.9856i | −0.177979 | − | 0.547763i | ||||
\(563\) | −2.73269 | − | 8.41034i | −0.115169 | − | 0.354454i | 0.876813 | − | 0.480831i | \(-0.159665\pi\) |
−0.991982 | + | 0.126377i | \(0.959665\pi\) | |||||||
\(564\) | 0.686452 | − | 2.11268i | 0.0289049 | − | 0.0889600i | ||||
\(565\) | 0.395479 | + | 0.593283i | 0.0166379 | + | 0.0249596i | ||||
\(566\) | −8.42137 | − | 25.9183i | −0.353976 | − | 1.08943i | ||||
\(567\) | −0.637499 | + | 0.463170i | −0.0267725 | + | 0.0194513i | ||||
\(568\) | −8.31145 | −0.348741 | ||||||||
\(569\) | −28.1105 | + | 20.4235i | −1.17845 | + | 0.856196i | −0.991996 | − | 0.126267i | \(-0.959700\pi\) |
−0.186456 | + | 0.982463i | \(0.559700\pi\) | |||||||
\(570\) | −0.975176 | + | 24.1455i | −0.0408456 | + | 1.01134i | ||||
\(571\) | −22.0583 | − | 16.0263i | −0.923111 | − | 0.670679i | 0.0211853 | − | 0.999776i | \(-0.493256\pi\) |
−0.944296 | + | 0.329096i | \(0.893256\pi\) | |||||||
\(572\) | 1.78630 | + | 1.29782i | 0.0746889 | + | 0.0542646i | ||||
\(573\) | −7.05102 | + | 21.7008i | −0.294561 | + | 0.906564i | ||||
\(574\) | 11.6384 | 0.485777 | ||||||||
\(575\) | 8.98452 | + | 37.7878i | 0.374680 | + | 1.57586i | ||||
\(576\) | 4.90029 | 0.204179 | ||||||||
\(577\) | 4.99642 | − | 15.3774i | 0.208004 | − | 0.640169i | −0.791573 | − | 0.611075i | \(-0.790738\pi\) |
0.999577 | − | 0.0290947i | \(-0.00926245\pi\) | |||||||
\(578\) | −1.84906 | − | 1.34342i | −0.0769109 | − | 0.0558790i | ||||
\(579\) | 7.66133 | + | 5.56629i | 0.318394 | + | 0.231327i | ||||
\(580\) | 6.91690 | + | 10.3765i | 0.287209 | + | 0.430860i | ||||
\(581\) | 0.675533 | − | 0.490803i | 0.0280258 | − | 0.0203620i | ||||
\(582\) | −19.3761 | −0.803164 | ||||||||
\(583\) | 33.8340 | − | 24.5819i | 1.40126 | − | 1.01808i | ||||
\(584\) | 1.02536 | + | 3.15572i | 0.0424296 | + | 0.130585i | ||||
\(585\) | 1.38626 | − | 1.75450i | 0.0573148 | − | 0.0725398i | ||||
\(586\) | 11.0534 | − | 34.0189i | 0.456612 | − | 1.40531i | ||||
\(587\) | −4.10684 | − | 12.6396i | −0.169508 | − | 0.521691i | 0.829833 | − | 0.558013i | \(-0.188436\pi\) |
−0.999340 | + | 0.0363217i | \(0.988436\pi\) | |||||||
\(588\) | 1.04608 | + | 3.21952i | 0.0431398 | + | 0.132771i | ||||
\(589\) | 15.8654 | − | 48.8288i | 0.653724 | − | 2.01196i | ||||
\(590\) | 16.6257 | − | 4.66926i | 0.684468 | − | 0.192231i | ||||
\(591\) | −5.07442 | − | 15.6175i | −0.208734 | − | 0.642417i | ||||
\(592\) | 3.91367 | − | 2.84344i | 0.160851 | − | 0.116865i | ||||
\(593\) | −28.9936 | −1.19063 | −0.595313 | − | 0.803494i | \(-0.702972\pi\) | ||||
−0.595313 | + | 0.803494i | \(0.702972\pi\) | |||||||
\(594\) | −5.35482 | + | 3.89050i | −0.219711 | + | 0.159629i | ||||
\(595\) | −4.69038 | + | 5.93634i | −0.192287 | + | 0.243366i | ||||
\(596\) | 3.57943 | + | 2.60061i | 0.146619 | + | 0.106525i | ||||
\(597\) | −5.29297 | − | 3.84557i | −0.216627 | − | 0.157389i | ||||
\(598\) | −3.81877 | + | 11.7530i | −0.156161 | + | 0.480614i | ||||
\(599\) | −34.5402 | −1.41127 | −0.705637 | − | 0.708573i | \(-0.749339\pi\) | ||||
−0.705637 | + | 0.708573i | \(0.749339\pi\) | |||||||
\(600\) | 9.97824 | − | 6.08464i | 0.407360 | − | 0.248404i | ||||
\(601\) | 25.7660 | 1.05102 | 0.525508 | − | 0.850789i | \(-0.323875\pi\) | ||||
0.525508 | + | 0.850789i | \(0.323875\pi\) | |||||||
\(602\) | −2.60946 | + | 8.03108i | −0.106353 | + | 0.327322i | ||||
\(603\) | 3.96603 | + | 2.88149i | 0.161509 | + | 0.117343i | ||||
\(604\) | −8.37452 | − | 6.08444i | −0.340754 | − | 0.247572i | ||||
\(605\) | 13.2356 | + | 4.89934i | 0.538102 | + | 0.199186i | ||||
\(606\) | −5.59347 | + | 4.06390i | −0.227219 | + | 0.165085i | ||||
\(607\) | −29.5779 | −1.20053 | −0.600265 | − | 0.799801i | \(-0.704938\pi\) | ||||
−0.600265 | + | 0.799801i | \(0.704938\pi\) | |||||||
\(608\) | −16.0966 | + | 11.6949i | −0.652805 | + | 0.474290i | ||||
\(609\) | 2.55904 | + | 7.87593i | 0.103698 | + | 0.319149i | ||||
\(610\) | −10.9598 | − | 4.05691i | −0.443747 | − | 0.164260i | ||||
\(611\) | −1.29355 | + | 3.98114i | −0.0523314 | + | 0.161060i | ||||
\(612\) | −0.704128 | − | 2.16708i | −0.0284627 | − | 0.0875992i | ||||
\(613\) | 4.22649 | + | 13.0078i | 0.170706 | + | 0.525380i | 0.999411 | − | 0.0343057i | \(-0.0109220\pi\) |
−0.828705 | + | 0.559685i | \(0.810922\pi\) | |||||||
\(614\) | −13.4769 | + | 41.4777i | −0.543884 | + | 1.67390i | ||||
\(615\) | 0.837781 | − | 20.7436i | 0.0337826 | − | 0.836462i | ||||
\(616\) | 2.36815 | + | 7.28843i | 0.0954156 | + | 0.293659i | ||||
\(617\) | 0.863020 | − | 0.627021i | 0.0347439 | − | 0.0252429i | −0.570278 | − | 0.821452i | \(-0.693164\pi\) |
0.605022 | + | 0.796209i | \(0.293164\pi\) | |||||||
\(618\) | −14.0769 | −0.566258 | ||||||||
\(619\) | −34.9805 | + | 25.4148i | −1.40599 | + | 1.02151i | −0.412094 | + | 0.911141i | \(0.635203\pi\) |
−0.993891 | + | 0.110367i | \(0.964797\pi\) | |||||||
\(620\) | 8.63395 | − | 2.42482i | 0.346748 | − | 0.0973830i | ||||
\(621\) | −6.28464 | − | 4.56606i | −0.252194 | − | 0.183230i | ||||
\(622\) | 5.87784 | + | 4.27050i | 0.235680 | + | 0.171232i | ||||
\(623\) | 1.40141 | − | 4.31311i | 0.0561464 | − | 0.172801i | ||||
\(624\) | 4.77973 | 0.191342 | ||||||||
\(625\) | 11.4473 | − | 22.2252i | 0.457891 | − | 0.889008i | ||||
\(626\) | −10.8860 | −0.435092 | ||||||||
\(627\) | −8.73451 | + | 26.8820i | −0.348823 | + | 1.07357i | ||||
\(628\) | −8.70285 | − | 6.32299i | −0.347281 | − | 0.252315i | ||||
\(629\) | 3.51578 | + | 2.55437i | 0.140183 | + | 0.101849i | ||||
\(630\) | −2.69861 | + | 0.757895i | −0.107515 | + | 0.0301953i | ||||
\(631\) | 14.0810 | − | 10.2305i | 0.560556 | − | 0.407268i | −0.271106 | − | 0.962549i | \(-0.587390\pi\) |
0.831662 | + | 0.555282i | \(0.187390\pi\) | |||||||
\(632\) | −3.64291 | −0.144907 | ||||||||
\(633\) | 4.57333 | − | 3.32272i | 0.181773 | − | 0.132066i | ||||
\(634\) | 15.0213 | + | 46.2308i | 0.596572 | + | 1.83606i | ||||
\(635\) | −0.0573917 | + | 1.42103i | −0.00227752 | + | 0.0563918i | ||||
\(636\) | −1.64830 | + | 5.07295i | −0.0653595 | + | 0.201156i | ||||
\(637\) | −1.97124 | − | 6.06685i | −0.0781034 | − | 0.240378i | ||||
\(638\) | 21.4953 | + | 66.1556i | 0.851006 | + | 2.61913i | ||||
\(639\) | 1.09881 | − | 3.38179i | 0.0434682 | − | 0.133782i | ||||
\(640\) | 28.6306 | + | 10.5980i | 1.13172 | + | 0.418924i | ||||
\(641\) | −2.12842 | − | 6.55061i | −0.0840677 | − | 0.258734i | 0.900183 | − | 0.435512i | \(-0.143433\pi\) |
−0.984251 | + | 0.176778i | \(0.943433\pi\) | |||||||
\(642\) | 3.30715 | − | 2.40279i | 0.130523 | − | 0.0948305i | ||||
\(643\) | −38.9186 | −1.53480 | −0.767400 | − | 0.641169i | \(-0.778450\pi\) | ||||
−0.767400 | + | 0.641169i | \(0.778450\pi\) | |||||||
\(644\) | 2.62803 | − | 1.90937i | 0.103559 | − | 0.0752398i | ||||
\(645\) | 14.1263 | + | 5.22905i | 0.556222 | + | 0.205894i | ||||
\(646\) | −37.5409 | − | 27.2751i | −1.47703 | − | 1.07312i | ||||
\(647\) | −14.3546 | − | 10.4292i | −0.564337 | − | 0.410015i | 0.268707 | − | 0.963222i | \(-0.413404\pi\) |
−0.833044 | + | 0.553207i | \(0.813404\pi\) | |||||||
\(648\) | −0.722302 | + | 2.22302i | −0.0283747 | + | 0.0873283i | ||||
\(649\) | 20.1990 | 0.792881 | ||||||||
\(650\) | 6.79103 | − | 4.14111i | 0.266366 | − | 0.162428i | ||||
\(651\) | 5.95531 | 0.233407 | ||||||||
\(652\) | −1.71124 | + | 5.26666i | −0.0670174 | + | 0.206258i | ||||
\(653\) | −13.0732 | − | 9.49827i | −0.511596 | − | 0.371696i | 0.301833 | − | 0.953361i | \(-0.402402\pi\) |
−0.813429 | + | 0.581665i | \(0.802402\pi\) | |||||||
\(654\) | −13.9796 | − | 10.1568i | −0.546647 | − | 0.397162i | ||||
\(655\) | 4.67234 | − | 5.91350i | 0.182564 | − | 0.231060i | ||||
\(656\) | 35.9016 | − | 26.0841i | 1.40172 | − | 1.01841i | ||||
\(657\) | −1.41957 | −0.0553826 | ||||||||
\(658\) | 4.24520 | − | 3.08432i | 0.165495 | − | 0.120239i | ||||
\(659\) | 1.00739 | + | 3.10042i | 0.0392422 | + | 0.120775i | 0.968759 | − | 0.248006i | \(-0.0797752\pi\) |
−0.929516 | + | 0.368781i | \(0.879775\pi\) | |||||||
\(660\) | −4.75331 | + | 1.33495i | −0.185022 | + | 0.0519629i | ||||
\(661\) | −1.91164 | + | 5.88342i | −0.0743541 | + | 0.228838i | −0.981326 | − | 0.192353i | \(-0.938388\pi\) |
0.906972 | + | 0.421192i | \(0.138388\pi\) | |||||||
\(662\) | −7.32637 | − | 22.5483i | −0.284748 | − | 0.876363i | ||||
\(663\) | 1.32686 | + | 4.08365i | 0.0515309 | + | 0.158596i | ||||
\(664\) | 0.765395 | − | 2.35564i | 0.0297031 | − | 0.0914167i | ||||
\(665\) | −7.42085 | + | 9.39212i | −0.287768 | + | 0.364211i | ||||
\(666\) | 0.497534 | + | 1.53125i | 0.0192791 | + | 0.0593348i | ||||
\(667\) | −66.0471 | + | 47.9860i | −2.55735 | + | 1.85803i | ||||
\(668\) | 5.04714 | 0.195280 | ||||||||
\(669\) | −0.316962 | + | 0.230286i | −0.0122544 | + | 0.00890338i | ||||
\(670\) | 9.67224 | + | 14.5099i | 0.373671 | + | 0.560567i | ||||
\(671\) | −11.0588 | − | 8.03470i | −0.426921 | − | 0.310176i | ||||
\(672\) | −1.86711 | − | 1.35654i | −0.0720254 | − | 0.0523295i | ||||
\(673\) | 6.18894 | − | 19.0476i | 0.238566 | − | 0.734231i | −0.758062 | − | 0.652182i | \(-0.773854\pi\) |
0.996628 | − | 0.0820486i | \(-0.0261463\pi\) | |||||||
\(674\) | −4.89855 | −0.188685 | ||||||||
\(675\) | 1.15657 | + | 4.86440i | 0.0445164 | + | 0.187231i | ||||
\(676\) | 0.530673 | 0.0204105 | ||||||||
\(677\) | −13.2847 | + | 40.8862i | −0.510574 | + | 1.57139i | 0.280619 | + | 0.959819i | \(0.409460\pi\) |
−0.791193 | + | 0.611567i | \(0.790540\pi\) | |||||||
\(678\) | −0.410382 | − | 0.298160i | −0.0157606 | − | 0.0114508i | ||||
\(679\) | −7.76475 | − | 5.64142i | −0.297984 | − | 0.216498i | ||||
\(680\) | −0.905641 | + | 22.4238i | −0.0347298 | + | 0.859914i | ||||
\(681\) | 11.3978 | − | 8.28098i | 0.436764 | − | 0.317328i | ||||
\(682\) | 50.0230 | 1.91548 | ||||||||
\(683\) | −9.09507 | + | 6.60795i | −0.348013 | + | 0.252846i | −0.748035 | − | 0.663659i | \(-0.769002\pi\) |
0.400022 | + | 0.916506i | \(0.369002\pi\) | |||||||
\(684\) | −1.11403 | − | 3.42863i | −0.0425960 | − | 0.131097i | ||||
\(685\) | 23.9064 | + | 35.8634i | 0.913415 | + | 1.37027i | ||||
\(686\) | −5.18261 | + | 15.9504i | −0.197873 | + | 0.608990i | ||||
\(687\) | 6.18286 | + | 19.0289i | 0.235891 | + | 0.725997i | ||||
\(688\) | 9.94978 | + | 30.6223i | 0.379332 | + | 1.16746i | ||||
\(689\) | 3.10606 | − | 9.55947i | 0.118331 | − | 0.364187i | ||||
\(690\) | −15.3268 | − | 22.9927i | −0.583482 | − | 0.875316i | ||||
\(691\) | −5.25411 | − | 16.1705i | −0.199876 | − | 0.615154i | −0.999885 | − | 0.0151664i | \(-0.995172\pi\) |
0.800009 | − | 0.599988i | \(-0.204828\pi\) | |||||||
\(692\) | 3.02925 | − | 2.20088i | 0.115155 | − | 0.0836648i | ||||
\(693\) | −3.27862 | −0.124544 | ||||||||
\(694\) | −23.5616 | + | 17.1185i | −0.894388 | + | 0.649811i | ||||
\(695\) | 1.98581 | − | 49.1690i | 0.0753261 | − | 1.86508i | ||||
\(696\) | 19.8732 | + | 14.4387i | 0.753291 | + | 0.547298i | ||||
\(697\) | 32.2517 | + | 23.4322i | 1.22162 | + | 0.887559i | ||||
\(698\) | 4.08608 | − | 12.5757i | 0.154660 | − | 0.475995i | ||||
\(699\) | 12.3902 | 0.468639 | ||||||||
\(700\) | −2.08402 | − | 0.168612i | −0.0787687 | − | 0.00637293i | ||||
\(701\) | 1.21708 | 0.0459684 | 0.0229842 | − | 0.999736i | \(-0.492683\pi\) | ||||
0.0229842 | + | 0.999736i | \(0.492683\pi\) | |||||||
\(702\) | −0.491587 | + | 1.51295i | −0.0185538 | + | 0.0571026i | ||||
\(703\) | 5.56246 | + | 4.04136i | 0.209792 | + | 0.152423i | ||||
\(704\) | 16.4949 | + | 11.9842i | 0.621674 | + | 0.451672i | ||||
\(705\) | −5.19172 | − | 7.78842i | −0.195532 | − | 0.293329i | ||||
\(706\) | −5.62631 | + | 4.08776i | −0.211749 | + | 0.153845i | ||||
\(707\) | −3.42474 | −0.128801 | ||||||||
\(708\) | −2.08423 | + | 1.51428i | −0.0783303 | + | 0.0569103i | ||||
\(709\) | −3.20288 | − | 9.85747i | −0.120287 | − | 0.370205i | 0.872726 | − | 0.488210i | \(-0.162350\pi\) |
−0.993013 | + | 0.118005i | \(0.962350\pi\) | |||||||
\(710\) | 7.84156 | − | 9.92459i | 0.294289 | − | 0.372463i | ||||
\(711\) | 0.481609 | − | 1.48224i | 0.0180617 | − | 0.0555883i | ||||
\(712\) | −4.15701 | − | 12.7939i | −0.155790 | − | 0.479473i | ||||
\(713\) | 18.1421 | + | 55.8357i | 0.679427 | + | 2.09106i | ||||
\(714\) | 1.66328 | − | 5.11904i | 0.0622466 | − | 0.191575i | ||||
\(715\) | 8.95712 | − | 2.51558i | 0.334977 | − | 0.0940773i | ||||
\(716\) | 2.27610 | + | 7.00510i | 0.0850617 | + | 0.261793i | ||||
\(717\) | 12.0996 | − | 8.79088i | 0.451868 | − | 0.328301i | ||||
\(718\) | −22.8803 | −0.853886 | ||||||||
\(719\) | −15.0378 | + | 10.9256i | −0.560816 | + | 0.407457i | −0.831757 | − | 0.555139i | \(-0.812665\pi\) |
0.270942 | + | 0.962596i | \(0.412665\pi\) | |||||||
\(720\) | −6.62595 | + | 8.38606i | −0.246935 | + | 0.312530i | ||||
\(721\) | −5.64118 | − | 4.09856i | −0.210089 | − | 0.152638i | ||||
\(722\) | −34.9421 | − | 25.3869i | −1.30041 | − | 0.944804i | ||||
\(723\) | −0.313790 | + | 0.965747i | −0.0116700 | + | 0.0359165i | ||||
\(724\) | 12.8414 | 0.477248 | ||||||||
\(725\) | 52.3753 | + | 4.23753i | 1.94517 | + | 0.157378i | ||||
\(726\) | −10.0406 | −0.372642 | ||||||||
\(727\) | 8.18963 | − | 25.2051i | 0.303736 | − | 0.934804i | −0.676409 | − | 0.736526i | \(-0.736465\pi\) |
0.980146 | − | 0.198279i | \(-0.0635351\pi\) | |||||||
\(728\) | 1.49010 | + | 1.08262i | 0.0552269 | + | 0.0401247i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | −4.73560 | − | 1.75295i | −0.175272 | − | 0.0648797i | ||||
\(731\) | −23.4006 | + | 17.0015i | −0.865503 | + | 0.628825i | ||||
\(732\) | 1.74345 | 0.0644398 | ||||||||
\(733\) | 9.58690 | − | 6.96529i | 0.354100 | − | 0.257269i | −0.396487 | − | 0.918040i | \(-0.629771\pi\) |
0.750587 | + | 0.660771i | \(0.229771\pi\) | |||||||
\(734\) | −5.84066 | − | 17.9757i | −0.215583 | − | 0.663495i | ||||
\(735\) | 13.3770 | + | 4.95168i | 0.493417 | + | 0.182646i | ||||
\(736\) | 7.03065 | − | 21.6381i | 0.259153 | − | 0.797592i | ||||
\(737\) | 6.30303 | + | 19.3987i | 0.232175 | + | 0.714561i | ||||
\(738\) | 4.56408 | + | 14.0468i | 0.168006 | + | 0.517070i | ||||
\(739\) | −11.3003 | + | 34.7789i | −0.415690 | + | 1.27936i | 0.495943 | + | 0.868355i | \(0.334823\pi\) |
−0.911633 | + | 0.411006i | \(0.865177\pi\) | |||||||
\(740\) | −0.0484649 | + | 1.20000i | −0.00178161 | + | 0.0441128i | ||||
\(741\) | 2.09927 | + | 6.46090i | 0.0771188 | + | 0.237347i | ||||
\(742\) | −10.1935 | + | 7.40604i | −0.374217 | + | 0.271884i | ||||
\(743\) | −6.28668 | −0.230636 | −0.115318 | − | 0.993329i | \(-0.536789\pi\) | ||||
−0.115318 | + | 0.993329i | \(0.536789\pi\) | |||||||
\(744\) | 14.2915 | − | 10.3834i | 0.523950 | − | 0.380672i | ||||
\(745\) | 17.9485 | − | 5.04078i | 0.657583 | − | 0.184680i | ||||
\(746\) | 8.44016 | + | 6.13214i | 0.309016 | + | 0.224513i | ||||
\(747\) | 0.857284 | + | 0.622853i | 0.0313664 | + | 0.0227890i | ||||
\(748\) | 2.92968 | − | 9.01664i | 0.107120 | − | 0.329681i | ||||
\(749\) | 2.02489 | 0.0739877 | ||||||||
\(750\) | −2.14854 | + | 17.6555i | −0.0784535 | + | 0.644689i | ||||
\(751\) | −5.22576 | −0.190691 | −0.0953454 | − | 0.995444i | \(-0.530396\pi\) | ||||
−0.0953454 | + | 0.995444i | \(0.530396\pi\) | |||||||
\(752\) | 6.18282 | − | 19.0288i | 0.225464 | − | 0.693908i | ||||
\(753\) | −19.7891 | − | 14.3776i | −0.721155 | − | 0.523950i | ||||
\(754\) | 13.5254 | + | 9.82676i | 0.492565 | + | 0.357869i | ||||
\(755\) | −41.9927 | + | 11.7935i | −1.52827 | + | 0.429210i | ||||
\(756\) | 0.338304 | − | 0.245792i | 0.0123040 | − | 0.00893937i | ||||
\(757\) | 8.77818 | 0.319048 | 0.159524 | − | 0.987194i | \(-0.449004\pi\) | ||||
0.159524 | + | 0.987194i | \(0.449004\pi\) | |||||||
\(758\) | 38.1217 | − | 27.6970i | 1.38464 | − | 1.00600i | ||||
\(759\) | −9.98790 | − | 30.7396i | −0.362538 | − | 1.11578i | ||||
\(760\) | −1.43285 | + | 35.4776i | −0.0519750 | + | 1.28691i | ||||
\(761\) | 5.98815 | − | 18.4296i | 0.217070 | − | 0.668074i | −0.781930 | − | 0.623367i | \(-0.785764\pi\) |
0.999000 | − | 0.0447073i | \(-0.0142355\pi\) | |||||||
\(762\) | −0.312660 | − | 0.962267i | −0.0113265 | − | 0.0348593i | ||||
\(763\) | −2.64499 | − | 8.14045i | −0.0957551 | − | 0.294704i | ||||
\(764\) | 3.74179 | − | 11.5160i | 0.135373 | − | 0.416636i | ||||
\(765\) | −9.00415 | − | 3.33302i | −0.325546 | − | 0.120506i | ||||
\(766\) | −16.6382 | − | 51.2073i | −0.601164 | − | 1.85019i | ||||
\(767\) | 3.92753 | − | 2.85352i | 0.141815 | − | 0.103034i | ||||
\(768\) | −11.9188 | −0.430083 | ||||||||
\(769\) | −25.1389 | + | 18.2645i | −0.906533 | + | 0.658634i | −0.940136 | − | 0.340801i | \(-0.889302\pi\) |
0.0336030 | + | 0.999435i | \(0.489302\pi\) | |||||||
\(770\) | −10.9373 | − | 4.04860i | −0.394153 | − | 0.145901i | ||||
\(771\) | −6.10537 | − | 4.43581i | −0.219880 | − | 0.159752i | ||||
\(772\) | −4.06567 | − | 2.95388i | −0.146327 | − | 0.106312i | ||||
\(773\) | −6.69044 | + | 20.5911i | −0.240638 | + | 0.740609i | 0.755685 | + | 0.654936i | \(0.227304\pi\) |
−0.996323 | + | 0.0856736i | \(0.972696\pi\) | |||||||
\(774\) | −10.7163 | −0.385190 | ||||||||
\(775\) | 14.5373 | − | 34.8797i | 0.522194 | − | 1.25292i | ||||
\(776\) | −28.4698 | −1.02201 | ||||||||
\(777\) | −0.246449 | + | 0.758492i | −0.00884130 | + | 0.0272107i | ||||
\(778\) | −28.4776 | − | 20.6902i | −1.02097 | − | 0.741780i | ||||
\(779\) | 51.0267 | + | 37.0731i | 1.82822 | + | 1.32828i | ||||
\(780\) | −0.735651 | + | 0.931069i | −0.0263405 | + | 0.0333376i | ||||
\(781\) | 11.9692 | − | 8.69617i | 0.428293 | − | 0.311173i | ||||
\(782\) | 53.0619 | 1.89749 | ||||||||
\(783\) | −8.50219 | + | 6.17721i | −0.303844 | + | 0.220755i | ||||
\(784\) | 9.42200 | + | 28.9979i | 0.336500 | + | 1.03564i | ||||
\(785\) | −43.6391 | + | 12.2559i | −1.55755 | + | 0.437432i | ||||
\(786\) | −1.65688 | + | 5.09935i | −0.0590989 | + | 0.181888i | ||||
\(787\) | 0.761310 | + | 2.34307i | 0.0271378 | + | 0.0835215i | 0.963708 | − | 0.266958i | \(-0.0860186\pi\) |
−0.936570 | + | 0.350480i | \(0.886019\pi\) | |||||||
\(788\) | 2.69286 | + | 8.28777i | 0.0959292 | + | 0.295240i | ||||
\(789\) | 7.37917 | − | 22.7107i | 0.262705 | − | 0.808524i | ||||
\(790\) | 3.43696 | − | 4.34995i | 0.122282 | − | 0.154764i | ||||
\(791\) | −0.0776457 | − | 0.238969i | −0.00276076 | − | 0.00849675i | ||||
\(792\) | −7.86798 | + | 5.71642i | −0.279576 | + | 0.203124i | ||||
\(793\) | −3.28535 | −0.116666 | ||||||||
\(794\) | 34.8632 | − | 25.3296i | 1.23725 | − | 0.898915i | ||||
\(795\) | 12.4663 | + | 18.7015i | 0.442135 | + | 0.663274i | ||||
\(796\) | 2.80884 | + | 2.04074i | 0.0995566 | + | 0.0723321i | ||||
\(797\) | 13.1779 | + | 9.57430i | 0.466785 | + | 0.339139i | 0.796187 | − | 0.605051i | \(-0.206847\pi\) |
−0.329402 | + | 0.944190i | \(0.606847\pi\) | |||||||
\(798\) | 2.63154 | − | 8.09904i | 0.0931554 | − | 0.286703i | ||||
\(799\) | 17.9739 | 0.635871 | ||||||||
\(800\) | −12.5028 | + | 7.62410i | −0.442042 | + | 0.269553i | ||||
\(801\) | 5.75522 | 0.203351 | ||||||||
\(802\) | −8.64429 | + | 26.6044i | −0.305240 | + | 0.939433i | ||||
\(803\) | −4.77841 | − | 3.47171i | −0.168626 | − | 0.122514i | ||||
\(804\) | −2.10466 | − | 1.52913i | −0.0742258 | − | 0.0539282i | ||||
\(805\) | 0.552360 | − | 13.6765i | 0.0194681 | − | 0.482034i | ||||
\(806\) | 9.72654 | − | 7.06674i | 0.342603 | − | 0.248915i | ||||
\(807\) | 3.69595 | 0.130104 | ||||||||
\(808\) | −8.21864 | + | 5.97119i | −0.289131 | + | 0.210066i | ||||
\(809\) | 11.8492 | + | 36.4680i | 0.416595 | + | 1.28215i | 0.910817 | + | 0.412811i | \(0.135453\pi\) |
−0.494222 | + | 0.869336i | \(0.664547\pi\) | |||||||
\(810\) | −1.97301 | − | 2.95983i | −0.0693245 | − | 0.103998i | ||||
\(811\) | 8.40784 | − | 25.8767i | 0.295239 | − | 0.908653i | −0.687902 | − | 0.725804i | \(-0.741468\pi\) |
0.983141 | − | 0.182849i | \(-0.0585320\pi\) | |||||||
\(812\) | −1.35802 | − | 4.17955i | −0.0476570 | − | 0.146673i | ||||
\(813\) | 5.87823 | + | 18.0913i | 0.206158 | + | 0.634491i | ||||
\(814\) | −2.07010 | + | 6.37112i | −0.0725571 | + | 0.223308i | ||||
\(815\) | 12.9423 | + | 19.4156i | 0.453350 | + | 0.680098i | ||||
\(816\) | −6.34202 | − | 19.5187i | −0.222015 | − | 0.683293i | ||||
\(817\) | −37.0230 | + | 26.8988i | −1.29527 | + | 0.941070i | ||||
\(818\) | −16.9140 | −0.591385 | ||||||||
\(819\) | −0.637499 | + | 0.463170i | −0.0222760 | + | 0.0161845i | ||||
\(820\) | −0.444588 | + | 11.0081i | −0.0155257 | + | 0.384419i | ||||
\(821\) | 34.3829 | + | 24.9807i | 1.19997 | + | 0.871831i | 0.994282 | − | 0.106786i | \(-0.0340561\pi\) |
0.205690 | + | 0.978617i | \(0.434056\pi\) | |||||||
\(822\) | −24.8072 | − | 18.0235i | −0.865251 | − | 0.628642i | ||||
\(823\) | 1.37523 | − | 4.23252i | 0.0479375 | − | 0.147536i | −0.924223 | − | 0.381854i | \(-0.875286\pi\) |
0.972160 | + | 0.234318i | \(0.0752856\pi\) | |||||||
\(824\) | −20.6836 | −0.720549 | ||||||||
\(825\) | −8.00330 | + | 19.2026i | −0.278639 | + | 0.668547i | ||||
\(826\) | −6.08557 | −0.211744 | ||||||||
\(827\) | 8.41439 | − | 25.8968i | 0.292597 | − | 0.900521i | −0.691421 | − | 0.722452i | \(-0.743015\pi\) |
0.984018 | − | 0.178069i | \(-0.0569850\pi\) | |||||||
\(828\) | 3.33509 | + | 2.42309i | 0.115902 | + | 0.0842080i | ||||
\(829\) | 28.1424 | + | 20.4466i | 0.977425 | + | 0.710141i | 0.957132 | − | 0.289653i | \(-0.0935400\pi\) |
0.0202933 | + | 0.999794i | \(0.493540\pi\) | |||||||
\(830\) | 2.09072 | + | 3.13642i | 0.0725700 | + | 0.108867i | ||||
\(831\) | −22.2846 | + | 16.1907i | −0.773045 | + | 0.561650i | ||||
\(832\) | 4.90029 | 0.169887 | ||||||||
\(833\) | −22.1593 | + | 16.0997i | −0.767776 | + | 0.557822i | ||||
\(834\) | 10.8183 | + | 33.2954i | 0.374608 | + | 1.15293i | ||||
\(835\) | 13.1845 | − | 16.6868i | 0.456268 | − | 0.577470i | ||||
\(836\) | 4.63517 | − | 14.2656i | 0.160311 | − | 0.493386i | ||||
\(837\) | 2.33542 | + | 7.18768i | 0.0807239 | + | 0.248443i | ||||
\(838\) | −3.63559 | − | 11.1892i | −0.125590 | − | 0.386525i | ||||
\(839\) | −0.444077 | + | 1.36673i | −0.0153312 | + | 0.0471847i | −0.958429 | − | 0.285330i | \(-0.907897\pi\) |
0.943098 | + | 0.332514i | \(0.107897\pi\) | |||||||
\(840\) | −3.96513 | + | 1.11359i | −0.136810 | + | 0.0384227i | ||||
\(841\) | 25.1679 | + | 77.4590i | 0.867860 | + | 2.67100i | ||||
\(842\) | −24.4402 | + | 17.7568i | −0.842264 | + | 0.611941i | ||||
\(843\) | 8.58295 | 0.295612 | ||||||||
\(844\) | −2.42694 | + | 1.76328i | −0.0835388 | + | 0.0606945i | ||||
\(845\) | 1.38626 | − | 1.75450i | 0.0476888 | − | 0.0603568i | ||||
\(846\) | 5.38736 | + | 3.91415i | 0.185221 | + | 0.134571i | ||||
\(847\) | −4.02366 | − | 2.92336i | −0.138255 | − | 0.100448i | ||||
\(848\) | −14.8461 | + | 45.6917i | −0.509818 | + | 1.56906i | ||||
\(849\) | 17.1310 | 0.587934 | ||||||||
\(850\) | −25.9215 | − | 22.2375i | −0.889102 | − | 0.762740i | ||||
\(851\) | −7.86222 | −0.269513 | ||||||||
\(852\) | −0.583109 | + | 1.79463i | −0.0199770 | + | 0.0614829i | ||||
\(853\) | 11.8682 | + | 8.62272i | 0.406358 | + | 0.295236i | 0.772126 | − | 0.635470i | \(-0.219194\pi\) |
−0.365768 | + | 0.930706i | \(0.619194\pi\) | |||||||
\(854\) | 3.33181 | + | 2.42070i | 0.114012 | + | 0.0828346i | ||||
\(855\) | −14.2458 | − | 5.27330i | −0.487197 | − | 0.180343i | ||||
\(856\) | 4.85929 | − | 3.53048i | 0.166087 | − | 0.120669i | ||||
\(857\) | −10.7784 | −0.368183 | −0.184091 | − | 0.982909i | \(-0.558934\pi\) | ||||
−0.184091 | + | 0.982909i | \(0.558934\pi\) | |||||||
\(858\) | −5.35482 | + | 3.89050i | −0.182810 | + | 0.132820i | ||||
\(859\) | 0.771435 | + | 2.37423i | 0.0263210 | + | 0.0810078i | 0.963354 | − | 0.268233i | \(-0.0864396\pi\) |
−0.937033 | + | 0.349241i | \(0.886440\pi\) | |||||||
\(860\) | −7.49645 | − | 2.77492i | −0.255627 | − | 0.0946240i | ||||
\(861\) | −2.26077 | + | 6.95795i | −0.0770470 | + | 0.237126i | ||||
\(862\) | −18.1074 | − | 55.7290i | −0.616742 | − | 1.89814i | ||||
\(863\) | 11.9255 | + | 36.7028i | 0.405948 | + | 1.24938i | 0.920101 | + | 0.391681i | \(0.128106\pi\) |
−0.514153 | + | 0.857698i | \(0.671894\pi\) | |||||||
\(864\) | 0.905051 | − | 2.78546i | 0.0307905 | − | 0.0947633i | ||||
\(865\) | 0.636689 | − | 15.7645i | 0.0216481 | − | 0.536010i | ||||
\(866\) | −14.6227 | − | 45.0041i | −0.496900 | − | 1.52930i | ||||
\(867\) | 1.16234 | − | 0.844491i | 0.0394752 | − | 0.0286804i | ||||
\(868\) | −3.16033 | −0.107268 | ||||||||
\(869\) | 5.24612 | − | 3.81153i | 0.177963 | − | 0.129297i | ||||
\(870\) | −35.9908 | + | 10.1079i | −1.22020 | + | 0.342689i | ||||
\(871\) | 3.96603 | + | 2.88149i | 0.134384 | + | 0.0976355i | ||||
\(872\) | −20.5406 | − | 14.9237i | −0.695594 | − | 0.505379i | ||||
\(873\) | 3.76383 | − | 11.5839i | 0.127386 | − | 0.392055i | ||||
\(874\) | 83.9513 | 2.83970 | ||||||||
\(875\) | −6.00148 | + | 6.44971i | −0.202887 | + | 0.218040i | ||||
\(876\) | 0.753327 | 0.0254526 | ||||||||
\(877\) | −13.0918 | + | 40.2925i | −0.442079 | + | 1.36058i | 0.443576 | + | 0.896237i | \(0.353710\pi\) |
−0.885655 | + | 0.464344i | \(0.846290\pi\) | |||||||
\(878\) | −19.4838 | − | 14.1558i | −0.657547 | − | 0.477736i | ||||
\(879\) | 18.1909 | + | 13.2164i | 0.613562 | + | 0.445779i | ||||
\(880\) | −42.8126 | + | 12.0238i | −1.44321 | + | 0.405322i | ||||
\(881\) | −17.2376 | + | 12.5238i | −0.580749 | + | 0.421939i | −0.838994 | − | 0.544141i | \(-0.816856\pi\) |
0.258245 | + | 0.966079i | \(0.416856\pi\) | |||||||
\(882\) | −10.1479 | −0.341697 | ||||||||
\(883\) | 37.8283 | − | 27.4839i | 1.27302 | − | 0.924906i | 0.273705 | − | 0.961814i | \(-0.411751\pi\) |
0.999319 | + | 0.0369077i | \(0.0117507\pi\) | |||||||
\(884\) | −0.704128 | − | 2.16708i | −0.0236824 | − | 0.0728869i | ||||
\(885\) | −0.438066 | + | 10.8466i | −0.0147254 | + | 0.364604i | ||||
\(886\) | −13.7736 | + | 42.3909i | −0.462735 | + | 1.42415i | ||||
\(887\) | 12.7779 | + | 39.3262i | 0.429038 | + | 1.32044i | 0.899074 | + | 0.437797i | \(0.144241\pi\) |
−0.470036 | + | 0.882647i | \(0.655759\pi\) | |||||||
\(888\) | 0.731040 | + | 2.24991i | 0.0245321 | + | 0.0755020i | ||||
\(889\) | 0.154873 | − | 0.476650i | 0.00519427 | − | 0.0159863i | ||||
\(890\) | 19.1991 | + | 7.10682i | 0.643555 | + | 0.238221i | ||||
\(891\) | −1.28573 | − | 3.95708i | −0.0430737 | − | 0.132567i | ||||
\(892\) | 0.168203 | − | 0.122207i | 0.00563186 | − | 0.00409178i | ||||
\(893\) | 28.4373 | 0.951616 | ||||||||
\(894\) | −10.7301 | + | 7.79589i | −0.358869 | + | 0.260734i | ||||
\(895\) | 29.1059 | + | 10.7740i | 0.972904 | + | 0.360135i | ||||
\(896\) | −8.70381 | − | 6.32368i | −0.290774 | − | 0.211259i | ||||
\(897\) | −6.28464 | − | 4.56606i | −0.209838 | − | 0.152456i | ||||
\(898\) | 8.77017 | − | 26.9918i | 0.292664 | − | 0.900728i | ||||
\(899\) | 79.4248 | 2.64897 | ||||||||
\(900\) | −0.613761 | − | 2.58141i | −0.0204587 | − | 0.0860468i | ||||
\(901\) | −43.1588 | −1.43783 | ||||||||
\(902\) | −18.9899 | + | 58.4448i | −0.632294 | + | 1.94600i | ||||
\(903\) | −4.29445 | − | 3.12010i | −0.142910 | − | 0.103830i | ||||
\(904\) | −0.602986 | − | 0.438095i | −0.0200550 | − | 0.0145708i | ||||
\(905\) | 33.5452 | − | 42.4562i | 1.11508 | − | 1.41129i | ||||
\(906\) | 25.1044 | − | 18.2394i | 0.834039 | − | 0.605965i | ||||
\(907\) | −24.9772 | −0.829356 | −0.414678 | − | 0.909968i | \(-0.636106\pi\) | ||||
−0.414678 | + | 0.909968i | \(0.636106\pi\) | |||||||
\(908\) | −6.04850 | + | 4.39450i | −0.200727 | + | 0.145836i | ||||
\(909\) | −1.34304 | − | 4.13345i | −0.0445458 | − | 0.137098i | ||||
\(910\) | −2.69861 | + | 0.757895i | −0.0894579 | + | 0.0251240i | ||||
\(911\) | 15.3523 | − | 47.2495i | 0.508644 | − | 1.56545i | −0.285913 | − | 0.958256i | \(-0.592297\pi\) |
0.794557 | − | 0.607189i | \(-0.207703\pi\) | |||||||
\(912\) | −10.0340 | − | 30.8814i | −0.332258 | − | 1.02259i | ||||
\(913\) | 1.36244 | + | 4.19317i | 0.0450903 | + | 0.138774i | ||||
\(914\) | −8.89659 | + | 27.3809i | −0.294273 | + | 0.905679i | ||||
\(915\) | 4.55435 | − | 5.76417i | 0.150562 | − | 0.190557i | ||||
\(916\) | −3.28108 | − | 10.0981i | −0.108410 | − | 0.333651i | ||||
\(917\) | −2.14867 | + | 1.56110i | −0.0709554 | + | 0.0515521i | ||||
\(918\) | 6.83062 | 0.225444 | ||||||||
\(919\) | 6.77001 | − | 4.91870i | 0.223322 | − | 0.162253i | −0.470499 | − | 0.882401i | \(-0.655926\pi\) |
0.693821 | + | 0.720148i | \(0.255926\pi\) | |||||||
\(920\) | −22.5201 | − | 33.7838i | −0.742465 | − | 1.11382i | ||||
\(921\) | −22.1793 | − | 16.1142i | −0.730833 | − | 0.530981i | ||||
\(922\) | 33.5486 | + | 24.3745i | 1.10486 | + | 0.802730i | ||||
\(923\) | 1.09881 | − | 3.38179i | 0.0361678 | − | 0.111313i | ||||
\(924\) | 1.73988 | 0.0572377 | ||||||||
\(925\) | 3.84081 | + | 3.29495i | 0.126285 | + | 0.108337i | ||||
\(926\) | −31.6568 | −1.04031 | ||||||||
\(927\) | 2.73447 | − | 8.41583i | 0.0898117 | − | 0.276412i | ||||
\(928\) | −24.9013 | − | 18.0918i | −0.817424 | − | 0.593894i | ||||
\(929\) | −43.3097 | − | 31.4664i | −1.42095 | − | 1.03238i | −0.991615 | − | 0.129231i | \(-0.958749\pi\) |
−0.429332 | − | 0.903147i | \(-0.641251\pi\) | |||||||
\(930\) | −1.08487 | + | 26.8616i | −0.0355744 | + | 0.880826i | ||||
\(931\) | −35.0592 | + | 25.4720i | −1.14902 | + | 0.834811i | ||||
\(932\) | −6.57513 | −0.215376 | ||||||||
\(933\) | −3.69488 | + | 2.68448i | −0.120965 | + | 0.0878861i | ||||
\(934\) | −15.7796 | − | 48.5647i | −0.516325 | − | 1.58908i | ||||
\(935\) | −22.1576 | − | 33.2399i | −0.724630 | − | 1.08706i | ||||
\(936\) | −0.722302 | + | 2.22302i | −0.0236092 | + | 0.0726616i | ||||
\(937\) | 6.74456 | + | 20.7576i | 0.220335 | + | 0.678122i | 0.998732 | + | 0.0503488i | \(0.0160333\pi\) |
−0.778397 | + | 0.627773i | \(0.783967\pi\) | |||||||
\(938\) | −1.89898 | − | 5.84446i | −0.0620039 | − | 0.190828i | ||||
\(939\) | 2.11462 | − | 6.50814i | 0.0690081 | − | 0.212385i | ||||
\(940\) | 2.75511 | + | 4.13311i | 0.0898618 | + | 0.134807i | ||||
\(941\) | 10.5449 | + | 32.4537i | 0.343752 | + | 1.05796i | 0.962248 | + | 0.272173i | \(0.0877423\pi\) |
−0.618496 | + | 0.785788i | \(0.712258\pi\) | |||||||
\(942\) | 26.0887 | − | 18.9545i | 0.850015 | − | 0.617572i | ||||
\(943\) | −72.1233 | −2.34866 | ||||||||
\(944\) | −18.7725 | + | 13.6390i | −0.610994 | + | 0.443913i | ||||
\(945\) | 0.0711050 | − | 1.76057i | 0.00231304 | − | 0.0572713i | ||||
\(946\) | −36.0722 | − | 26.2080i | −1.17281 | − | 0.852094i | ||||
\(947\) | −40.5513 | − | 29.4622i | −1.31774 | − | 0.957393i | −0.999957 | − | 0.00922903i | \(-0.997062\pi\) |
−0.317781 | − | 0.948164i | \(-0.602938\pi\) | |||||||
\(948\) | −0.255577 | + | 0.786585i | −0.00830075 | + | 0.0255471i | ||||
\(949\) | −1.41957 | −0.0460811 | ||||||||
\(950\) | −41.0115 | − | 35.1829i | −1.33059 | − | 1.14148i | ||||
\(951\) | −30.5567 | −0.990870 | ||||||||
\(952\) | 2.44390 | − | 7.52154i | 0.0792071 | − | 0.243774i | ||||
\(953\) | 17.2614 | + | 12.5411i | 0.559151 | + | 0.406247i | 0.831148 | − | 0.556051i | \(-0.187684\pi\) |
−0.271997 | + | 0.962298i | \(0.587684\pi\) | |||||||
\(954\) | −12.9361 | − | 9.39862i | −0.418821 | − | 0.304292i | ||||
\(955\) | −28.2996 | − | 42.4540i | −0.915754 | − | 1.37378i | ||||
\(956\) | −6.42094 | + | 4.66509i | −0.207668 | + | 0.150880i | ||||
\(957\) | −43.7263 | −1.41347 | ||||||||
\(958\) | −5.49983 | + | 3.99586i | −0.177691 | + | 0.129100i | ||||
\(959\) | −4.69361 | − | 14.4454i | −0.151565 | − | 0.466468i | ||||
\(960\) | −6.79308 | + | 8.59759i | −0.219246 | + | 0.277486i | ||||
\(961\) | 8.07059 | − | 24.8387i | 0.260342 | − | 0.801249i | ||||
\(962\) | 0.497534 | + | 1.53125i | 0.0160411 | + | 0.0493696i | ||||
\(963\) | 0.794074 | + | 2.44391i | 0.0255887 | + | 0.0787539i | ||||
\(964\) | 0.166520 | − | 0.512496i | 0.00536325 | − | 0.0165064i | ||||
\(965\) | −20.3867 | + | 5.72553i | −0.656270 | + | 0.184311i | ||||
\(966\) | 3.00916 | + | 9.26124i | 0.0968181 | + | 0.297975i | ||||
\(967\) | −42.1743 | + | 30.6414i | −1.35623 | + | 0.985361i | −0.357558 | + | 0.933891i | \(0.616391\pi\) |
−0.998675 | + | 0.0514699i | \(0.983609\pi\) | |||||||
\(968\) | −14.7529 | −0.474177 | ||||||||
\(969\) | 23.5986 | − | 17.1454i | 0.758097 | − | 0.550790i | ||||
\(970\) | 26.8603 | − | 33.9954i | 0.862431 | − | 1.09153i | ||||
\(971\) | 24.6429 | + | 17.9041i | 0.790828 | + | 0.574570i | 0.908209 | − | 0.418517i | \(-0.137450\pi\) |
−0.117381 | + | 0.993087i | \(0.537450\pi\) | |||||||
\(972\) | 0.429324 | + | 0.311922i | 0.0137706 | + | 0.0100049i | ||||
\(973\) | −5.35876 | + | 16.4926i | −0.171794 | + | 0.528727i | ||||
\(974\) | 5.88062 | 0.188427 | ||||||||
\(975\) | 1.15657 | + | 4.86440i | 0.0370399 | + | 0.155785i | ||||
\(976\) | 15.7031 | 0.502644 | ||||||||
\(977\) | 9.49546 | − | 29.2240i | 0.303787 | − | 0.934960i | −0.676340 | − | 0.736589i | \(-0.736435\pi\) |
0.980127 | − | 0.198370i | \(-0.0635649\pi\) | |||||||
\(978\) | −13.4300 | − | 9.75749i | −0.429445 | − | 0.312010i | ||||
\(979\) | 19.3726 | + | 14.0750i | 0.619152 | + | 0.449840i | ||||
\(980\) | −7.09880 | − | 2.62773i | −0.226763 | − | 0.0839396i | ||||
\(981\) | 8.78775 | − | 6.38467i | 0.280571 | − | 0.203847i | ||||
\(982\) | 26.6084 | 0.849109 | ||||||||
\(983\) | −3.31209 | + | 2.40638i | −0.105639 | + | 0.0767515i | −0.639351 | − | 0.768915i | \(-0.720797\pi\) |
0.533711 | + | 0.845667i | \(0.320797\pi\) | |||||||
\(984\) | 6.70612 | + | 20.6393i | 0.213783 | + | 0.657958i | ||||
\(985\) | 34.4354 | + | 12.7468i | 1.09720 | + | 0.406146i | ||||
\(986\) | 22.1828 | − | 68.2716i | 0.706443 | − | 2.17421i | ||||
\(987\) | 1.01931 | + | 3.13710i | 0.0324449 | + | 0.0998551i | ||||
\(988\) | −1.11403 | − | 3.42863i | −0.0354420 | − | 0.109079i | ||||
\(989\) | 16.1708 | − | 49.7687i | 0.514203 | − | 1.58255i | ||||
\(990\) | 0.597262 | − | 14.7883i | 0.0189822 | − | 0.470003i | ||||
\(991\) | 5.70433 | + | 17.5561i | 0.181204 | + | 0.557689i | 0.999862 | − | 0.0165922i | \(-0.00528169\pi\) |
−0.818658 | + | 0.574281i | \(0.805282\pi\) | |||||||
\(992\) | −17.9073 | + | 13.0104i | −0.568558 | + | 0.413082i | ||||
\(993\) | 14.9035 | 0.472949 | ||||||||
\(994\) | −3.60610 | + | 2.61999i | −0.114379 | + | 0.0831009i | ||||
\(995\) | 14.0845 | − | 3.95558i | 0.446509 | − | 0.125400i | ||||
\(996\) | −0.454938 | − | 0.330532i | −0.0144153 | − | 0.0104733i | ||||
\(997\) | −20.5997 | − | 14.9666i | −0.652400 | − | 0.473996i | 0.211688 | − | 0.977337i | \(-0.432104\pi\) |
−0.864088 | + | 0.503341i | \(0.832104\pi\) | |||||||
\(998\) | −17.1758 | + | 52.8617i | −0.543690 | + | 1.67331i | ||||
\(999\) | −1.01210 | −0.0320214 |
(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 | 975.2.v.c.196.13 | ✓ | 68 | |
25.6 | even | 5 | inner | 975.2.v.c.781.13 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
975.2.v.c.196.13 | ✓ | 68 | 1.1 | even | 1 | trivial | |
975.2.v.c.781.13 | yes | 68 | 25.6 | even | 5 | inner |