Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(259,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.259");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.f (of order \(4\), 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: | \(56\) |
Relative dimension: | \(28\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 259.5 | ||
Character | \(\chi\) | \(=\) | 731.259 |
Dual form | 731.2.f.c.302.24 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.18921i | − | 1.54800i | −0.633184 | − | 0.774001i | \(-0.718252\pi\) | ||
0.633184 | − | 0.774001i | \(-0.281748\pi\) | |||||||
\(3\) | 0.566370 | − | 0.566370i | 0.326994 | − | 0.326994i | −0.524448 | − | 0.851442i | \(-0.675728\pi\) |
0.851442 | + | 0.524448i | \(0.175728\pi\) | |||||||
\(4\) | −2.79262 | −1.39631 | ||||||||
\(5\) | 2.16421 | − | 2.16421i | 0.967865 | − | 0.967865i | −0.0316346 | − | 0.999500i | \(-0.510071\pi\) |
0.999500 | + | 0.0316346i | \(0.0100713\pi\) | |||||||
\(6\) | −1.23990 | − | 1.23990i | −0.506187 | − | 0.506187i | ||||
\(7\) | 0.402819 | + | 0.402819i | 0.152251 | + | 0.152251i | 0.779123 | − | 0.626871i | \(-0.215665\pi\) |
−0.626871 | + | 0.779123i | \(0.715665\pi\) | |||||||
\(8\) | 1.73522i | 0.613492i | ||||||||
\(9\) | 2.35845i | 0.786150i | ||||||||
\(10\) | −4.73791 | − | 4.73791i | −1.49826 | − | 1.49826i | ||||
\(11\) | −0.753153 | − | 0.753153i | −0.227084 | − | 0.227084i | 0.584389 | − | 0.811473i | \(-0.301334\pi\) |
−0.811473 | + | 0.584389i | \(0.801334\pi\) | |||||||
\(12\) | −1.58166 | + | 1.58166i | −0.456585 | + | 0.456585i | ||||
\(13\) | −1.40800 | −0.390509 | −0.195254 | − | 0.980753i | \(-0.562553\pi\) | ||||
−0.195254 | + | 0.980753i | \(0.562553\pi\) | |||||||
\(14\) | 0.881854 | − | 0.881854i | 0.235685 | − | 0.235685i | ||||
\(15\) | − | 2.45149i | − | 0.632972i | ||||||
\(16\) | −1.78650 | −0.446625 | ||||||||
\(17\) | −2.51684 | − | 3.26581i | −0.610422 | − | 0.792076i | ||||
\(18\) | 5.16313 | 1.21696 | ||||||||
\(19\) | − | 3.93447i | − | 0.902629i | −0.892365 | − | 0.451315i | \(-0.850955\pi\) | ||
0.892365 | − | 0.451315i | \(-0.149045\pi\) | |||||||
\(20\) | −6.04383 | + | 6.04383i | −1.35144 | + | 1.35144i | ||||
\(21\) | 0.456289 | 0.0995704 | ||||||||
\(22\) | −1.64881 | + | 1.64881i | −0.351527 | + | 0.351527i | ||||
\(23\) | −4.48958 | − | 4.48958i | −0.936143 | − | 0.936143i | 0.0619375 | − | 0.998080i | \(-0.480272\pi\) |
−0.998080 | + | 0.0619375i | \(0.980272\pi\) | |||||||
\(24\) | 0.982775 | + | 0.982775i | 0.200608 | + | 0.200608i | ||||
\(25\) | − | 4.36762i | − | 0.873525i | ||||||
\(26\) | 3.08240i | 0.604508i | ||||||||
\(27\) | 3.03486 | + | 3.03486i | 0.584060 | + | 0.584060i | ||||
\(28\) | −1.12492 | − | 1.12492i | −0.212590 | − | 0.212590i | ||||
\(29\) | −1.51852 | + | 1.51852i | −0.281983 | + | 0.281983i | −0.833899 | − | 0.551916i | \(-0.813897\pi\) |
0.551916 | + | 0.833899i | \(0.313897\pi\) | |||||||
\(30\) | −5.36681 | −0.979842 | ||||||||
\(31\) | 7.25769 | − | 7.25769i | 1.30352 | − | 1.30352i | 0.377516 | − | 0.926003i | \(-0.376778\pi\) |
0.926003 | − | 0.377516i | \(-0.123222\pi\) | |||||||
\(32\) | 7.38145i | 1.30487i | ||||||||
\(33\) | −0.853127 | −0.148510 | ||||||||
\(34\) | −7.14954 | + | 5.50987i | −1.22614 | + | 0.944935i | ||||
\(35\) | 1.74357 | 0.294717 | ||||||||
\(36\) | − | 6.58627i | − | 1.09771i | ||||||
\(37\) | 3.66111 | − | 3.66111i | 0.601883 | − | 0.601883i | −0.338929 | − | 0.940812i | \(-0.610065\pi\) |
0.940812 | + | 0.338929i | \(0.110065\pi\) | |||||||
\(38\) | −8.61336 | −1.39727 | ||||||||
\(39\) | −0.797448 | + | 0.797448i | −0.127694 | + | 0.127694i | ||||
\(40\) | 3.75538 | + | 3.75538i | 0.593778 | + | 0.593778i | ||||
\(41\) | 6.57620 | + | 6.57620i | 1.02703 | + | 1.02703i | 0.999624 | + | 0.0274060i | \(0.00872469\pi\) |
0.0274060 | + | 0.999624i | \(0.491275\pi\) | |||||||
\(42\) | − | 0.998911i | − | 0.154135i | ||||||
\(43\) | 1.00000i | 0.152499i | ||||||||
\(44\) | 2.10327 | + | 2.10327i | 0.317080 | + | 0.317080i | ||||
\(45\) | 5.10419 | + | 5.10419i | 0.760887 | + | 0.760887i | ||||
\(46\) | −9.82862 | + | 9.82862i | −1.44915 | + | 1.44915i | ||||
\(47\) | 3.13213 | 0.456868 | 0.228434 | − | 0.973559i | \(-0.426639\pi\) | ||||
0.228434 | + | 0.973559i | \(0.426639\pi\) | |||||||
\(48\) | −1.01182 | + | 1.01182i | −0.146043 | + | 0.146043i | ||||
\(49\) | − | 6.67547i | − | 0.953639i | ||||||
\(50\) | −9.56163 | −1.35222 | ||||||||
\(51\) | −3.27512 | − | 0.424198i | −0.458608 | − | 0.0593997i | ||||
\(52\) | 3.93201 | 0.545272 | ||||||||
\(53\) | 12.8477i | 1.76477i | 0.470530 | + | 0.882384i | \(0.344063\pi\) | ||||
−0.470530 | + | 0.882384i | \(0.655937\pi\) | |||||||
\(54\) | 6.64394 | − | 6.64394i | 0.904126 | − | 0.904126i | ||||
\(55\) | −3.25997 | −0.439574 | ||||||||
\(56\) | −0.698978 | + | 0.698978i | −0.0934049 | + | 0.0934049i | ||||
\(57\) | −2.22836 | − | 2.22836i | −0.295154 | − | 0.295154i | ||||
\(58\) | 3.32436 | + | 3.32436i | 0.436510 | + | 0.436510i | ||||
\(59\) | 10.6980i | 1.39276i | 0.717674 | + | 0.696379i | \(0.245207\pi\) | ||||
−0.717674 | + | 0.696379i | \(0.754793\pi\) | |||||||
\(60\) | 6.84609i | 0.883826i | ||||||||
\(61\) | −7.86213 | − | 7.86213i | −1.00664 | − | 1.00664i | −0.999978 | − | 0.00666445i | \(-0.997879\pi\) |
−0.00666445 | − | 0.999978i | \(-0.502121\pi\) | |||||||
\(62\) | −15.8886 | − | 15.8886i | −2.01785 | − | 2.01785i | ||||
\(63\) | −0.950028 | + | 0.950028i | −0.119692 | + | 0.119692i | ||||
\(64\) | 12.5865 | 1.57331 | ||||||||
\(65\) | −3.04721 | + | 3.04721i | −0.377960 | + | 0.377960i | ||||
\(66\) | 1.86767i | 0.229894i | ||||||||
\(67\) | 10.4169 | 1.27263 | 0.636316 | − | 0.771429i | \(-0.280458\pi\) | ||||
0.636316 | + | 0.771429i | \(0.280458\pi\) | |||||||
\(68\) | 7.02858 | + | 9.12019i | 0.852340 | + | 1.10599i | ||||
\(69\) | −5.08553 | −0.612226 | ||||||||
\(70\) | − | 3.81704i | − | 0.456223i | ||||||
\(71\) | 1.76577 | − | 1.76577i | 0.209559 | − | 0.209559i | −0.594521 | − | 0.804080i | \(-0.702658\pi\) |
0.804080 | + | 0.594521i | \(0.202658\pi\) | |||||||
\(72\) | −4.09243 | −0.482297 | ||||||||
\(73\) | −1.14439 | + | 1.14439i | −0.133941 | + | 0.133941i | −0.770899 | − | 0.636958i | \(-0.780193\pi\) |
0.636958 | + | 0.770899i | \(0.280193\pi\) | |||||||
\(74\) | −8.01492 | − | 8.01492i | −0.931716 | − | 0.931716i | ||||
\(75\) | −2.47369 | − | 2.47369i | −0.285637 | − | 0.285637i | ||||
\(76\) | 10.9875i | 1.26035i | ||||||||
\(77\) | − | 0.606769i | − | 0.0691477i | ||||||
\(78\) | 1.74578 | + | 1.74578i | 0.197670 | + | 0.197670i | ||||
\(79\) | 2.93031 | + | 2.93031i | 0.329685 | + | 0.329685i | 0.852467 | − | 0.522781i | \(-0.175106\pi\) |
−0.522781 | + | 0.852467i | \(0.675106\pi\) | |||||||
\(80\) | −3.86636 | + | 3.86636i | −0.432272 | + | 0.432272i | ||||
\(81\) | −3.63764 | −0.404182 | ||||||||
\(82\) | 14.3967 | − | 14.3967i | 1.58985 | − | 1.58985i | ||||
\(83\) | 15.9295i | 1.74848i | 0.485490 | + | 0.874242i | \(0.338641\pi\) | ||||
−0.485490 | + | 0.874242i | \(0.661359\pi\) | |||||||
\(84\) | −1.27424 | −0.139031 | ||||||||
\(85\) | −12.5149 | − | 1.62095i | −1.35743 | − | 0.175816i | ||||
\(86\) | 2.18921 | 0.236068 | ||||||||
\(87\) | 1.72009i | 0.184413i | ||||||||
\(88\) | 1.30688 | − | 1.30688i | 0.139314 | − | 0.139314i | ||||
\(89\) | 12.2961 | 1.30338 | 0.651689 | − | 0.758486i | \(-0.274061\pi\) | ||||
0.651689 | + | 0.758486i | \(0.274061\pi\) | |||||||
\(90\) | 11.1741 | − | 11.1741i | 1.17786 | − | 1.17786i | ||||
\(91\) | −0.567169 | − | 0.567169i | −0.0594554 | − | 0.0594554i | ||||
\(92\) | 12.5377 | + | 12.5377i | 1.30715 | + | 1.30715i | ||||
\(93\) | − | 8.22107i | − | 0.852485i | ||||||
\(94\) | − | 6.85688i | − | 0.707233i | ||||||
\(95\) | −8.51502 | − | 8.51502i | −0.873623 | − | 0.873623i | ||||
\(96\) | 4.18063 | + | 4.18063i | 0.426684 | + | 0.426684i | ||||
\(97\) | −2.65003 | + | 2.65003i | −0.269069 | + | 0.269069i | −0.828725 | − | 0.559656i | \(-0.810933\pi\) |
0.559656 | + | 0.828725i | \(0.310933\pi\) | |||||||
\(98\) | −14.6140 | −1.47624 | ||||||||
\(99\) | 1.77627 | − | 1.77627i | 0.178522 | − | 0.178522i | ||||
\(100\) | 12.1971i | 1.21971i | ||||||||
\(101\) | 14.0256 | 1.39560 | 0.697799 | − | 0.716293i | \(-0.254163\pi\) | ||||
0.697799 | + | 0.716293i | \(0.254163\pi\) | |||||||
\(102\) | −0.928658 | + | 7.16991i | −0.0919508 | + | 0.709927i | ||||
\(103\) | 16.7382 | 1.64926 | 0.824632 | − | 0.565669i | \(-0.191382\pi\) | ||||
0.824632 | + | 0.565669i | \(0.191382\pi\) | |||||||
\(104\) | − | 2.44318i | − | 0.239574i | ||||||
\(105\) | 0.987506 | − | 0.987506i | 0.0963707 | − | 0.0963707i | ||||
\(106\) | 28.1263 | 2.73187 | ||||||||
\(107\) | 9.78511 | − | 9.78511i | 0.945963 | − | 0.945963i | −0.0526504 | − | 0.998613i | \(-0.516767\pi\) |
0.998613 | + | 0.0526504i | \(0.0167669\pi\) | |||||||
\(108\) | −8.47524 | − | 8.47524i | −0.815530 | − | 0.815530i | ||||
\(109\) | 0.619197 | + | 0.619197i | 0.0593083 | + | 0.0593083i | 0.736139 | − | 0.676831i | \(-0.236647\pi\) |
−0.676831 | + | 0.736139i | \(0.736647\pi\) | |||||||
\(110\) | 7.13674i | 0.680461i | ||||||||
\(111\) | − | 4.14708i | − | 0.393624i | ||||||
\(112\) | −0.719635 | − | 0.719635i | −0.0679991 | − | 0.0679991i | ||||
\(113\) | 2.18074 | + | 2.18074i | 0.205147 | + | 0.205147i | 0.802201 | − | 0.597054i | \(-0.203662\pi\) |
−0.597054 | + | 0.802201i | \(0.703662\pi\) | |||||||
\(114\) | −4.87835 | + | 4.87835i | −0.456899 | + | 0.456899i | ||||
\(115\) | −19.4328 | −1.81212 | ||||||||
\(116\) | 4.24067 | − | 4.24067i | 0.393736 | − | 0.393736i | ||||
\(117\) | − | 3.32070i | − | 0.306998i | ||||||
\(118\) | 23.4201 | 2.15599 | ||||||||
\(119\) | 0.301702 | − | 2.32936i | 0.0276570 | − | 0.213532i | ||||
\(120\) | 4.25387 | 0.388323 | ||||||||
\(121\) | − | 9.86552i | − | 0.896865i | ||||||
\(122\) | −17.2118 | + | 17.2118i | −1.55828 | + | 1.55828i | ||||
\(123\) | 7.44913 | 0.671665 | ||||||||
\(124\) | −20.2680 | + | 20.2680i | −1.82012 | + | 1.82012i | ||||
\(125\) | 1.36859 | + | 1.36859i | 0.122411 | + | 0.122411i | ||||
\(126\) | 2.07981 | + | 2.07981i | 0.185284 | + | 0.185284i | ||||
\(127\) | 17.0234i | 1.51058i | 0.655389 | + | 0.755292i | \(0.272505\pi\) | ||||
−0.655389 | + | 0.755292i | \(0.727495\pi\) | |||||||
\(128\) | − | 12.7916i | − | 1.13063i | ||||||
\(129\) | 0.566370 | + | 0.566370i | 0.0498661 | + | 0.0498661i | ||||
\(130\) | 6.67097 | + | 6.67097i | 0.585082 | + | 0.585082i | ||||
\(131\) | 1.97390 | − | 1.97390i | 0.172460 | − | 0.172460i | −0.615599 | − | 0.788059i | \(-0.711086\pi\) |
0.788059 | + | 0.615599i | \(0.211086\pi\) | |||||||
\(132\) | 2.38246 | 0.207367 | ||||||||
\(133\) | 1.58488 | − | 1.58488i | 0.137426 | − | 0.137426i | ||||
\(134\) | − | 22.8048i | − | 1.97004i | ||||||
\(135\) | 13.1362 | 1.13058 | ||||||||
\(136\) | 5.66690 | − | 4.36726i | 0.485932 | − | 0.374489i | ||||
\(137\) | −20.4491 | −1.74708 | −0.873542 | − | 0.486748i | \(-0.838183\pi\) | ||||
−0.873542 | + | 0.486748i | \(0.838183\pi\) | |||||||
\(138\) | 11.1333i | 0.947727i | ||||||||
\(139\) | 5.86712 | − | 5.86712i | 0.497643 | − | 0.497643i | −0.413061 | − | 0.910703i | \(-0.635540\pi\) |
0.910703 | + | 0.413061i | \(0.135540\pi\) | |||||||
\(140\) | −4.86914 | −0.411517 | ||||||||
\(141\) | 1.77394 | − | 1.77394i | 0.149393 | − | 0.149393i | ||||
\(142\) | −3.86564 | − | 3.86564i | −0.324398 | − | 0.324398i | ||||
\(143\) | 1.06044 | + | 1.06044i | 0.0886784 | + | 0.0886784i | ||||
\(144\) | − | 4.21337i | − | 0.351114i | ||||||
\(145\) | 6.57282i | 0.545843i | ||||||||
\(146\) | 2.50531 | + | 2.50531i | 0.207341 | + | 0.207341i | ||||
\(147\) | −3.78079 | − | 3.78079i | −0.311834 | − | 0.311834i | ||||
\(148\) | −10.2241 | + | 10.2241i | −0.840416 | + | 0.840416i | ||||
\(149\) | −18.3940 | −1.50690 | −0.753449 | − | 0.657507i | \(-0.771611\pi\) | ||||
−0.753449 | + | 0.657507i | \(0.771611\pi\) | |||||||
\(150\) | −5.41542 | + | 5.41542i | −0.442167 | + | 0.442167i | ||||
\(151\) | − | 12.8981i | − | 1.04963i | −0.851217 | − | 0.524814i | \(-0.824135\pi\) | ||
0.851217 | − | 0.524814i | \(-0.175865\pi\) | |||||||
\(152\) | 6.82716 | 0.553756 | ||||||||
\(153\) | 7.70226 | − | 5.93583i | 0.622691 | − | 0.479884i | ||||
\(154\) | −1.32834 | −0.107041 | ||||||||
\(155\) | − | 31.4143i | − | 2.52326i | ||||||
\(156\) | 2.22697 | − | 2.22697i | 0.178301 | − | 0.178301i | ||||
\(157\) | −8.95308 | −0.714533 | −0.357267 | − | 0.934002i | \(-0.616291\pi\) | ||||
−0.357267 | + | 0.934002i | \(0.616291\pi\) | |||||||
\(158\) | 6.41505 | − | 6.41505i | 0.510354 | − | 0.510354i | ||||
\(159\) | 7.27655 | + | 7.27655i | 0.577068 | + | 0.577068i | ||||
\(160\) | 15.9750 | + | 15.9750i | 1.26294 | + | 1.26294i | ||||
\(161\) | − | 3.61698i | − | 0.285058i | ||||||
\(162\) | 7.96354i | 0.625675i | ||||||||
\(163\) | 9.85582 | + | 9.85582i | 0.771967 | + | 0.771967i | 0.978450 | − | 0.206483i | \(-0.0662018\pi\) |
−0.206483 | + | 0.978450i | \(0.566202\pi\) | |||||||
\(164\) | −18.3649 | − | 18.3649i | −1.43405 | − | 1.43405i | ||||
\(165\) | −1.84635 | + | 1.84635i | −0.143738 | + | 0.143738i | ||||
\(166\) | 34.8729 | 2.70666 | ||||||||
\(167\) | −0.761123 | + | 0.761123i | −0.0588975 | + | 0.0588975i | −0.735942 | − | 0.677045i | \(-0.763260\pi\) |
0.677045 | + | 0.735942i | \(0.263260\pi\) | |||||||
\(168\) | 0.791761i | 0.0610857i | ||||||||
\(169\) | −11.0175 | −0.847503 | ||||||||
\(170\) | −3.54859 | + | 27.3976i | −0.272164 | + | 2.10130i | ||||
\(171\) | 9.27925 | 0.709602 | ||||||||
\(172\) | − | 2.79262i | − | 0.212936i | ||||||
\(173\) | −4.10707 | + | 4.10707i | −0.312255 | + | 0.312255i | −0.845783 | − | 0.533528i | \(-0.820866\pi\) |
0.533528 | + | 0.845783i | \(0.320866\pi\) | |||||||
\(174\) | 3.76564 | 0.285472 | ||||||||
\(175\) | 1.75936 | − | 1.75936i | 0.132995 | − | 0.132995i | ||||
\(176\) | 1.34551 | + | 1.34551i | 0.101421 | + | 0.101421i | ||||
\(177\) | 6.05901 | + | 6.05901i | 0.455423 | + | 0.455423i | ||||
\(178\) | − | 26.9186i | − | 2.01763i | ||||||
\(179\) | − | 8.18519i | − | 0.611789i | −0.952065 | − | 0.305895i | \(-0.901044\pi\) | ||
0.952065 | − | 0.305895i | \(-0.0989556\pi\) | |||||||
\(180\) | −14.2541 | − | 14.2541i | −1.06244 | − | 1.06244i | ||||
\(181\) | −7.18141 | − | 7.18141i | −0.533790 | − | 0.533790i | 0.387908 | − | 0.921698i | \(-0.373198\pi\) |
−0.921698 | + | 0.387908i | \(0.873198\pi\) | |||||||
\(182\) | −1.24165 | + | 1.24165i | −0.0920371 | + | 0.0920371i | ||||
\(183\) | −8.90574 | −0.658332 | ||||||||
\(184\) | 7.79040 | − | 7.79040i | 0.574316 | − | 0.574316i | ||||
\(185\) | − | 15.8468i | − | 1.16508i | ||||||
\(186\) | −17.9976 | −1.31965 | ||||||||
\(187\) | −0.564095 | + | 4.35522i | −0.0412507 | + | 0.318485i | ||||
\(188\) | −8.74687 | −0.637931 | ||||||||
\(189\) | 2.44500i | 0.177848i | ||||||||
\(190\) | −18.6411 | + | 18.6411i | −1.35237 | + | 1.35237i | ||||
\(191\) | 5.79320 | 0.419182 | 0.209591 | − | 0.977789i | \(-0.432787\pi\) | ||||
0.209591 | + | 0.977789i | \(0.432787\pi\) | |||||||
\(192\) | 7.12862 | − | 7.12862i | 0.514464 | − | 0.514464i | ||||
\(193\) | 6.13949 | + | 6.13949i | 0.441930 | + | 0.441930i | 0.892660 | − | 0.450730i | \(-0.148836\pi\) |
−0.450730 | + | 0.892660i | \(0.648836\pi\) | |||||||
\(194\) | 5.80145 | + | 5.80145i | 0.416520 | + | 0.416520i | ||||
\(195\) | 3.45169i | 0.247181i | ||||||||
\(196\) | 18.6421i | 1.33158i | ||||||||
\(197\) | −17.4206 | − | 17.4206i | −1.24116 | − | 1.24116i | −0.959518 | − | 0.281647i | \(-0.909119\pi\) |
−0.281647 | − | 0.959518i | \(-0.590881\pi\) | |||||||
\(198\) | −3.88863 | − | 3.88863i | −0.276353 | − | 0.276353i | ||||
\(199\) | −6.61092 | + | 6.61092i | −0.468635 | + | 0.468635i | −0.901472 | − | 0.432837i | \(-0.857513\pi\) |
0.432837 | + | 0.901472i | \(0.357513\pi\) | |||||||
\(200\) | 7.57878 | 0.535901 | ||||||||
\(201\) | 5.89984 | − | 5.89984i | 0.416142 | − | 0.416142i | ||||
\(202\) | − | 30.7049i | − | 2.16039i | ||||||
\(203\) | −1.22338 | −0.0858645 | ||||||||
\(204\) | 9.14617 | + | 1.18463i | 0.640360 | + | 0.0829405i | ||||
\(205\) | 28.4646 | 1.98805 | ||||||||
\(206\) | − | 36.6434i | − | 2.55307i | ||||||
\(207\) | 10.5885 | − | 10.5885i | 0.735949 | − | 0.735949i | ||||
\(208\) | 2.51539 | 0.174411 | ||||||||
\(209\) | −2.96326 | + | 2.96326i | −0.204973 | + | 0.204973i | ||||
\(210\) | −2.16185 | − | 2.16185i | −0.149182 | − | 0.149182i | ||||
\(211\) | −12.1401 | − | 12.1401i | −0.835757 | − | 0.835757i | 0.152540 | − | 0.988297i | \(-0.451255\pi\) |
−0.988297 | + | 0.152540i | \(0.951255\pi\) | |||||||
\(212\) | − | 35.8788i | − | 2.46417i | ||||||
\(213\) | − | 2.00016i | − | 0.137049i | ||||||
\(214\) | −21.4216 | − | 21.4216i | −1.46435 | − | 1.46435i | ||||
\(215\) | 2.16421 | + | 2.16421i | 0.147598 | + | 0.147598i | ||||
\(216\) | −5.26615 | + | 5.26615i | −0.358316 | + | 0.358316i | ||||
\(217\) | 5.84707 | 0.396925 | ||||||||
\(218\) | 1.35555 | − | 1.35555i | 0.0918095 | − | 0.0918095i | ||||
\(219\) | 1.29630i | 0.0875958i | ||||||||
\(220\) | 9.10386 | 0.613782 | ||||||||
\(221\) | 3.54370 | + | 4.59826i | 0.238375 | + | 0.309313i | ||||
\(222\) | −9.07882 | −0.609331 | ||||||||
\(223\) | 0.454104i | 0.0304090i | 0.999884 | + | 0.0152045i | \(0.00483993\pi\) | ||||
−0.999884 | + | 0.0152045i | \(0.995160\pi\) | |||||||
\(224\) | −2.97339 | + | 2.97339i | −0.198668 | + | 0.198668i | ||||
\(225\) | 10.3008 | 0.686722 | ||||||||
\(226\) | 4.77409 | − | 4.77409i | 0.317568 | − | 0.317568i | ||||
\(227\) | 12.2925 | + | 12.2925i | 0.815882 | + | 0.815882i | 0.985508 | − | 0.169627i | \(-0.0542562\pi\) |
−0.169627 | + | 0.985508i | \(0.554256\pi\) | |||||||
\(228\) | 6.22299 | + | 6.22299i | 0.412127 | + | 0.412127i | ||||
\(229\) | − | 12.0555i | − | 0.796651i | −0.917244 | − | 0.398325i | \(-0.869591\pi\) | ||
0.917244 | − | 0.398325i | \(-0.130409\pi\) | |||||||
\(230\) | 42.5424i | 2.80516i | ||||||||
\(231\) | −0.343655 | − | 0.343655i | −0.0226109 | − | 0.0226109i | ||||
\(232\) | −2.63497 | − | 2.63497i | −0.172994 | − | 0.172994i | ||||
\(233\) | −12.6358 | + | 12.6358i | −0.827801 | + | 0.827801i | −0.987212 | − | 0.159411i | \(-0.949040\pi\) |
0.159411 | + | 0.987212i | \(0.449040\pi\) | |||||||
\(234\) | −7.26969 | −0.475234 | ||||||||
\(235\) | 6.77860 | − | 6.77860i | 0.442187 | − | 0.442187i | ||||
\(236\) | − | 29.8754i | − | 1.94473i | ||||||
\(237\) | 3.31928 | 0.215610 | ||||||||
\(238\) | −5.09945 | − | 0.660489i | −0.330548 | − | 0.0428131i | ||||
\(239\) | −13.8055 | −0.893004 | −0.446502 | − | 0.894783i | \(-0.647330\pi\) | ||||
−0.446502 | + | 0.894783i | \(0.647330\pi\) | |||||||
\(240\) | 4.37958i | 0.282701i | ||||||||
\(241\) | 2.87314 | − | 2.87314i | 0.185075 | − | 0.185075i | −0.608488 | − | 0.793563i | \(-0.708224\pi\) |
0.793563 | + | 0.608488i | \(0.208224\pi\) | |||||||
\(242\) | −21.5977 | −1.38835 | ||||||||
\(243\) | −11.1648 | + | 11.1648i | −0.716225 | + | 0.716225i | ||||
\(244\) | 21.9560 | + | 21.9560i | 1.40559 | + | 1.40559i | ||||
\(245\) | −14.4471 | − | 14.4471i | −0.922994 | − | 0.922994i | ||||
\(246\) | − | 16.3077i | − | 1.03974i | ||||||
\(247\) | 5.53973i | 0.352484i | ||||||||
\(248\) | 12.5937 | + | 12.5937i | 0.799699 | + | 0.799699i | ||||
\(249\) | 9.02196 | + | 9.02196i | 0.571744 | + | 0.571744i | ||||
\(250\) | 2.99613 | − | 2.99613i | 0.189492 | − | 0.189492i | ||||
\(251\) | −4.69906 | −0.296602 | −0.148301 | − | 0.988942i | \(-0.547380\pi\) | ||||
−0.148301 | + | 0.988942i | \(0.547380\pi\) | |||||||
\(252\) | 2.65307 | − | 2.65307i | 0.167128 | − | 0.167128i | ||||
\(253\) | 6.76269i | 0.425166i | ||||||||
\(254\) | 37.2678 | 2.33839 | ||||||||
\(255\) | −8.00610 | + | 6.16999i | −0.501362 | + | 0.386380i | ||||
\(256\) | −2.83039 | −0.176899 | ||||||||
\(257\) | 7.77325i | 0.484882i | 0.970166 | + | 0.242441i | \(0.0779480\pi\) | ||||
−0.970166 | + | 0.242441i | \(0.922052\pi\) | |||||||
\(258\) | 1.23990 | − | 1.23990i | 0.0771928 | − | 0.0771928i | ||||
\(259\) | 2.94953 | 0.183275 | ||||||||
\(260\) | 8.50971 | − | 8.50971i | 0.527750 | − | 0.527750i | ||||
\(261\) | −3.58136 | − | 3.58136i | −0.221681 | − | 0.221681i | ||||
\(262\) | −4.32127 | − | 4.32127i | −0.266969 | − | 0.266969i | ||||
\(263\) | 20.3181i | 1.25287i | 0.779474 | + | 0.626434i | \(0.215486\pi\) | ||||
−0.779474 | + | 0.626434i | \(0.784514\pi\) | |||||||
\(264\) | − | 1.48036i | − | 0.0911099i | ||||||
\(265\) | 27.8052 | + | 27.8052i | 1.70806 | + | 1.70806i | ||||
\(266\) | −3.46963 | − | 3.46963i | −0.212736 | − | 0.212736i | ||||
\(267\) | 6.96411 | − | 6.96411i | 0.426197 | − | 0.426197i | ||||
\(268\) | −29.0906 | −1.77699 | ||||||||
\(269\) | 6.60334 | − | 6.60334i | 0.402613 | − | 0.402613i | −0.476540 | − | 0.879153i | \(-0.658109\pi\) |
0.879153 | + | 0.476540i | \(0.158109\pi\) | |||||||
\(270\) | − | 28.7578i | − | 1.75014i | ||||||
\(271\) | −2.28337 | −0.138705 | −0.0693525 | − | 0.997592i | \(-0.522093\pi\) | ||||
−0.0693525 | + | 0.997592i | \(0.522093\pi\) | |||||||
\(272\) | 4.49632 | + | 5.83437i | 0.272630 | + | 0.353761i | ||||
\(273\) | −0.642454 | −0.0388831 | ||||||||
\(274\) | 44.7673i | 2.70449i | ||||||||
\(275\) | −3.28949 | + | 3.28949i | −0.198364 | + | 0.198364i | ||||
\(276\) | 14.2020 | 0.854858 | ||||||||
\(277\) | −1.79201 | + | 1.79201i | −0.107672 | + | 0.107672i | −0.758890 | − | 0.651219i | \(-0.774258\pi\) |
0.651219 | + | 0.758890i | \(0.274258\pi\) | |||||||
\(278\) | −12.8443 | − | 12.8443i | −0.770352 | − | 0.770352i | ||||
\(279\) | 17.1169 | + | 17.1169i | 1.02476 | + | 1.02476i | ||||
\(280\) | 3.02547i | 0.180807i | ||||||||
\(281\) | 13.4498i | 0.802347i | 0.916002 | + | 0.401173i | \(0.131398\pi\) | ||||
−0.916002 | + | 0.401173i | \(0.868602\pi\) | |||||||
\(282\) | −3.88353 | − | 3.88353i | −0.231261 | − | 0.231261i | ||||
\(283\) | 5.96084 | + | 5.96084i | 0.354335 | + | 0.354335i | 0.861720 | − | 0.507385i | \(-0.169388\pi\) |
−0.507385 | + | 0.861720i | \(0.669388\pi\) | |||||||
\(284\) | −4.93114 | + | 4.93114i | −0.292610 | + | 0.292610i | ||||
\(285\) | −9.64531 | −0.571339 | ||||||||
\(286\) | 2.32152 | − | 2.32152i | 0.137274 | − | 0.137274i | ||||
\(287\) | 5.29804i | 0.312733i | ||||||||
\(288\) | −17.4088 | −1.02582 | ||||||||
\(289\) | −4.33108 | + | 16.4390i | −0.254769 | + | 0.967002i | ||||
\(290\) | 14.3893 | 0.844966 | ||||||||
\(291\) | 3.00179i | 0.175968i | ||||||||
\(292\) | 3.19586 | − | 3.19586i | 0.187024 | − | 0.187024i | ||||
\(293\) | 12.2219 | 0.714012 | 0.357006 | − | 0.934102i | \(-0.383797\pi\) | ||||
0.357006 | + | 0.934102i | \(0.383797\pi\) | |||||||
\(294\) | −8.27692 | + | 8.27692i | −0.482720 | + | 0.482720i | ||||
\(295\) | 23.1527 | + | 23.1527i | 1.34800 | + | 1.34800i | ||||
\(296\) | 6.35282 | + | 6.35282i | 0.369250 | + | 0.369250i | ||||
\(297\) | − | 4.57144i | − | 0.265262i | ||||||
\(298\) | 40.2683i | 2.33268i | ||||||||
\(299\) | 6.32133 | + | 6.32133i | 0.365572 | + | 0.365572i | ||||
\(300\) | 6.90809 | + | 6.90809i | 0.398839 | + | 0.398839i | ||||
\(301\) | −0.402819 | + | 0.402819i | −0.0232181 | + | 0.0232181i | ||||
\(302\) | −28.2365 | −1.62483 | ||||||||
\(303\) | 7.94367 | − | 7.94367i | 0.456352 | − | 0.456352i | ||||
\(304\) | 7.02892i | 0.403136i | ||||||||
\(305\) | −34.0306 | −1.94859 | ||||||||
\(306\) | −12.9948 | − | 16.8618i | −0.742861 | − | 0.963927i | ||||
\(307\) | 3.79679 | 0.216694 | 0.108347 | − | 0.994113i | \(-0.465444\pi\) | ||||
0.108347 | + | 0.994113i | \(0.465444\pi\) | |||||||
\(308\) | 1.69448i | 0.0965518i | ||||||||
\(309\) | 9.48002 | − | 9.48002i | 0.539299 | − | 0.539299i | ||||
\(310\) | −68.7725 | −3.90601 | ||||||||
\(311\) | −3.32062 | + | 3.32062i | −0.188295 | + | 0.188295i | −0.794959 | − | 0.606664i | \(-0.792508\pi\) |
0.606664 | + | 0.794959i | \(0.292508\pi\) | |||||||
\(312\) | −1.38375 | − | 1.38375i | −0.0783392 | − | 0.0783392i | ||||
\(313\) | 9.03199 | + | 9.03199i | 0.510518 | + | 0.510518i | 0.914685 | − | 0.404167i | \(-0.132439\pi\) |
−0.404167 | + | 0.914685i | \(0.632439\pi\) | |||||||
\(314\) | 19.6001i | 1.10610i | ||||||||
\(315\) | 4.11212i | 0.231692i | ||||||||
\(316\) | −8.18325 | − | 8.18325i | −0.460344 | − | 0.460344i | ||||
\(317\) | 7.26784 | + | 7.26784i | 0.408203 | + | 0.408203i | 0.881111 | − | 0.472909i | \(-0.156796\pi\) |
−0.472909 | + | 0.881111i | \(0.656796\pi\) | |||||||
\(318\) | 15.9299 | − | 15.9299i | 0.893303 | − | 0.893303i | ||||
\(319\) | 2.28736 | 0.128068 | ||||||||
\(320\) | 27.2399 | − | 27.2399i | 1.52276 | − | 1.52276i | ||||
\(321\) | − | 11.0840i | − | 0.618648i | ||||||
\(322\) | −7.91831 | −0.441270 | ||||||||
\(323\) | −12.8492 | + | 9.90241i | −0.714951 | + | 0.550985i | ||||
\(324\) | 10.1586 | 0.564364 | ||||||||
\(325\) | 6.14961i | 0.341119i | ||||||||
\(326\) | 21.5764 | − | 21.5764i | 1.19501 | − | 1.19501i | ||||
\(327\) | 0.701389 | 0.0387869 | ||||||||
\(328\) | −11.4111 | + | 11.4111i | −0.630075 | + | 0.630075i | ||||
\(329\) | 1.26168 | + | 1.26168i | 0.0695588 | + | 0.0695588i | ||||
\(330\) | 4.04203 | + | 4.04203i | 0.222507 | + | 0.222507i | ||||
\(331\) | − | 16.4087i | − | 0.901903i | −0.892549 | − | 0.450951i | \(-0.851085\pi\) | ||
0.892549 | − | 0.450951i | \(-0.148915\pi\) | |||||||
\(332\) | − | 44.4850i | − | 2.44143i | ||||||
\(333\) | 8.63455 | + | 8.63455i | 0.473170 | + | 0.473170i | ||||
\(334\) | 1.66626 | + | 1.66626i | 0.0911734 | + | 0.0911734i | ||||
\(335\) | 22.5445 | − | 22.5445i | 1.23174 | − | 1.23174i | ||||
\(336\) | −0.815159 | −0.0444706 | ||||||||
\(337\) | −17.9541 | + | 17.9541i | −0.978020 | + | 0.978020i | −0.999764 | − | 0.0217436i | \(-0.993078\pi\) |
0.0217436 | + | 0.999764i | \(0.493078\pi\) | |||||||
\(338\) | 24.1197i | 1.31194i | ||||||||
\(339\) | 2.47021 | 0.134164 | ||||||||
\(340\) | 34.9493 | + | 4.52669i | 1.89539 | + | 0.245494i | ||||
\(341\) | −10.9323 | −0.592017 | ||||||||
\(342\) | − | 20.3142i | − | 1.09847i | ||||||
\(343\) | 5.50874 | − | 5.50874i | 0.297444 | − | 0.297444i | ||||
\(344\) | −1.73522 | −0.0935567 | ||||||||
\(345\) | −11.0062 | + | 11.0062i | −0.592552 | + | 0.592552i | ||||
\(346\) | 8.99123 | + | 8.99123i | 0.483372 | + | 0.483372i | ||||
\(347\) | 11.9552 | + | 11.9552i | 0.641786 | + | 0.641786i | 0.950994 | − | 0.309208i | \(-0.100064\pi\) |
−0.309208 | + | 0.950994i | \(0.600064\pi\) | |||||||
\(348\) | − | 4.80357i | − | 0.257499i | ||||||
\(349\) | 9.90470i | 0.530186i | 0.964223 | + | 0.265093i | \(0.0854027\pi\) | ||||
−0.964223 | + | 0.265093i | \(0.914597\pi\) | |||||||
\(350\) | −3.85161 | − | 3.85161i | −0.205877 | − | 0.205877i | ||||
\(351\) | −4.27309 | − | 4.27309i | −0.228080 | − | 0.228080i | ||||
\(352\) | 5.55936 | − | 5.55936i | 0.296315 | − | 0.296315i | ||||
\(353\) | 5.79827 | 0.308611 | 0.154305 | − | 0.988023i | \(-0.450686\pi\) | ||||
0.154305 | + | 0.988023i | \(0.450686\pi\) | |||||||
\(354\) | 13.2644 | − | 13.2644i | 0.704997 | − | 0.704997i | ||||
\(355\) | − | 7.64302i | − | 0.405649i | ||||||
\(356\) | −34.3382 | −1.81992 | ||||||||
\(357\) | −1.14840 | − | 1.49015i | −0.0607800 | − | 0.0788673i | ||||
\(358\) | −17.9191 | −0.947052 | ||||||||
\(359\) | − | 6.20024i | − | 0.327236i | −0.986524 | − | 0.163618i | \(-0.947684\pi\) | ||
0.986524 | − | 0.163618i | \(-0.0523164\pi\) | |||||||
\(360\) | −8.85687 | + | 8.85687i | −0.466798 | + | 0.466798i | ||||
\(361\) | 3.51995 | 0.185261 | ||||||||
\(362\) | −15.7216 | + | 15.7216i | −0.826308 | + | 0.826308i | ||||
\(363\) | −5.58753 | − | 5.58753i | −0.293269 | − | 0.293269i | ||||
\(364\) | 1.58389 | + | 1.58389i | 0.0830183 | + | 0.0830183i | ||||
\(365\) | 4.95342i | 0.259274i | ||||||||
\(366\) | 19.4965i | 1.01910i | ||||||||
\(367\) | −25.5070 | − | 25.5070i | −1.33146 | − | 1.33146i | −0.904069 | − | 0.427387i | \(-0.859434\pi\) |
−0.427387 | − | 0.904069i | \(-0.640566\pi\) | |||||||
\(368\) | 8.02063 | + | 8.02063i | 0.418104 | + | 0.418104i | ||||
\(369\) | −15.5096 | + | 15.5096i | −0.807400 | + | 0.807400i | ||||
\(370\) | −34.6920 | −1.80355 | ||||||||
\(371\) | −5.17530 | + | 5.17530i | −0.268688 | + | 0.268688i | ||||
\(372\) | 22.9584i | 1.19034i | ||||||||
\(373\) | −32.0065 | −1.65723 | −0.828616 | − | 0.559817i | \(-0.810871\pi\) | ||||
−0.828616 | + | 0.559817i | \(0.810871\pi\) | |||||||
\(374\) | 9.53448 | + | 1.23492i | 0.493016 | + | 0.0638562i | ||||
\(375\) | 1.55026 | 0.0800551 | ||||||||
\(376\) | 5.43493i | 0.280285i | ||||||||
\(377\) | 2.13808 | − | 2.13808i | 0.110117 | − | 0.110117i | ||||
\(378\) | 5.35261 | 0.275309 | ||||||||
\(379\) | 6.47290 | − | 6.47290i | 0.332491 | − | 0.332491i | −0.521041 | − | 0.853532i | \(-0.674456\pi\) |
0.853532 | + | 0.521041i | \(0.174456\pi\) | |||||||
\(380\) | 23.7793 | + | 23.7793i | 1.21985 | + | 1.21985i | ||||
\(381\) | 9.64155 | + | 9.64155i | 0.493951 | + | 0.493951i | ||||
\(382\) | − | 12.6825i | − | 0.648894i | ||||||
\(383\) | − | 20.9481i | − | 1.07040i | −0.844727 | − | 0.535198i | \(-0.820237\pi\) | ||
0.844727 | − | 0.535198i | \(-0.179763\pi\) | |||||||
\(384\) | −7.24477 | − | 7.24477i | −0.369708 | − | 0.369708i | ||||
\(385\) | −1.31318 | − | 1.31318i | −0.0669256 | − | 0.0669256i | ||||
\(386\) | 13.4406 | − | 13.4406i | 0.684109 | − | 0.684109i | ||||
\(387\) | −2.35845 | −0.119887 | ||||||||
\(388\) | 7.40052 | − | 7.40052i | 0.375705 | − | 0.375705i | ||||
\(389\) | − | 29.4850i | − | 1.49495i | −0.664291 | − | 0.747474i | \(-0.731267\pi\) | ||
0.664291 | − | 0.747474i | \(-0.268733\pi\) | |||||||
\(390\) | 7.55647 | 0.382637 | ||||||||
\(391\) | −3.36260 | + | 25.9617i | −0.170054 | + | 1.31294i | ||||
\(392\) | 11.5834 | 0.585050 | ||||||||
\(393\) | − | 2.23591i | − | 0.112787i | ||||||
\(394\) | −38.1372 | + | 38.1372i | −1.92133 | + | 1.92133i | ||||
\(395\) | 12.6836 | 0.638182 | ||||||||
\(396\) | −4.96047 | + | 4.96047i | −0.249273 | + | 0.249273i | ||||
\(397\) | 4.78562 | + | 4.78562i | 0.240183 | + | 0.240183i | 0.816926 | − | 0.576743i | \(-0.195676\pi\) |
−0.576743 | + | 0.816926i | \(0.695676\pi\) | |||||||
\(398\) | 14.4727 | + | 14.4727i | 0.725449 | + | 0.725449i | ||||
\(399\) | − | 1.79525i | − | 0.0898752i | ||||||
\(400\) | 7.80276i | 0.390138i | ||||||||
\(401\) | 20.4973 | + | 20.4973i | 1.02359 | + | 1.02359i | 0.999715 | + | 0.0238704i | \(0.00759891\pi\) |
0.0238704 | + | 0.999715i | \(0.492401\pi\) | |||||||
\(402\) | −12.9160 | − | 12.9160i | −0.644190 | − | 0.644190i | ||||
\(403\) | −10.2188 | + | 10.2188i | −0.509035 | + | 0.509035i | ||||
\(404\) | −39.1682 | −1.94869 | ||||||||
\(405\) | −7.87262 | + | 7.87262i | −0.391194 | + | 0.391194i | ||||
\(406\) | 2.67823i | 0.132918i | ||||||||
\(407\) | −5.51475 | −0.273356 | ||||||||
\(408\) | 0.736077 | − | 5.68304i | 0.0364412 | − | 0.281353i | ||||
\(409\) | −32.8607 | −1.62485 | −0.812427 | − | 0.583062i | \(-0.801854\pi\) | ||||
−0.812427 | + | 0.583062i | \(0.801854\pi\) | |||||||
\(410\) | − | 62.3149i | − | 3.07751i | ||||||
\(411\) | −11.5818 | + | 11.5818i | −0.571286 | + | 0.571286i | ||||
\(412\) | −46.7435 | −2.30289 | ||||||||
\(413\) | −4.30935 | + | 4.30935i | −0.212049 | + | 0.212049i | ||||
\(414\) | −23.1803 | − | 23.1803i | −1.13925 | − | 1.13925i | ||||
\(415\) | 34.4747 | + | 34.4747i | 1.69230 | + | 1.69230i | ||||
\(416\) | − | 10.3931i | − | 0.509562i | ||||||
\(417\) | − | 6.64592i | − | 0.325452i | ||||||
\(418\) | 6.48718 | + | 6.48718i | 0.317299 | + | 0.317299i | ||||
\(419\) | −11.5121 | − | 11.5121i | −0.562401 | − | 0.562401i | 0.367588 | − | 0.929989i | \(-0.380184\pi\) |
−0.929989 | + | 0.367588i | \(0.880184\pi\) | |||||||
\(420\) | −2.75773 | + | 2.75773i | −0.134564 | + | 0.134564i | ||||
\(421\) | 0.581655 | 0.0283481 | 0.0141741 | − | 0.999900i | \(-0.495488\pi\) | ||||
0.0141741 | + | 0.999900i | \(0.495488\pi\) | |||||||
\(422\) | −26.5771 | + | 26.5771i | −1.29375 | + | 1.29375i | ||||
\(423\) | 7.38698i | 0.359167i | ||||||||
\(424\) | −22.2936 | −1.08267 | ||||||||
\(425\) | −14.2638 | + | 10.9926i | −0.691898 | + | 0.533219i | ||||
\(426\) | −4.37877 | −0.212152 | ||||||||
\(427\) | − | 6.33403i | − | 0.306525i | ||||||
\(428\) | −27.3261 | + | 27.3261i | −1.32086 | + | 1.32086i | ||||
\(429\) | 1.20120 | 0.0579945 | ||||||||
\(430\) | 4.73791 | − | 4.73791i | 0.228482 | − | 0.228482i | ||||
\(431\) | −1.19245 | − | 1.19245i | −0.0574384 | − | 0.0574384i | 0.677804 | − | 0.735243i | \(-0.262932\pi\) |
−0.735243 | + | 0.677804i | \(0.762932\pi\) | |||||||
\(432\) | −5.42178 | − | 5.42178i | −0.260856 | − | 0.260856i | ||||
\(433\) | 15.2894i | 0.734760i | 0.930071 | + | 0.367380i | \(0.119745\pi\) | ||||
−0.930071 | + | 0.367380i | \(0.880255\pi\) | |||||||
\(434\) | − | 12.8004i | − | 0.614440i | ||||||
\(435\) | 3.72265 | + | 3.72265i | 0.178487 | + | 0.178487i | ||||
\(436\) | −1.72918 | − | 1.72918i | −0.0828129 | − | 0.0828129i | ||||
\(437\) | −17.6641 | + | 17.6641i | −0.844990 | + | 0.844990i | ||||
\(438\) | 2.83787 | 0.135599 | ||||||||
\(439\) | 0.321400 | − | 0.321400i | 0.0153396 | − | 0.0153396i | −0.699395 | − | 0.714735i | \(-0.746547\pi\) |
0.714735 | + | 0.699395i | \(0.246547\pi\) | |||||||
\(440\) | − | 5.65675i | − | 0.269675i | ||||||
\(441\) | 15.7438 | 0.749704 | ||||||||
\(442\) | 10.0665 | − | 7.75789i | 0.478817 | − | 0.369005i | ||||
\(443\) | 17.0265 | 0.808955 | 0.404477 | − | 0.914548i | \(-0.367453\pi\) | ||||
0.404477 | + | 0.914548i | \(0.367453\pi\) | |||||||
\(444\) | 11.5812i | 0.549622i | ||||||||
\(445\) | 26.6113 | − | 26.6113i | 1.26149 | − | 1.26149i | ||||
\(446\) | 0.994126 | 0.0470732 | ||||||||
\(447\) | −10.4178 | + | 10.4178i | −0.492746 | + | 0.492746i | ||||
\(448\) | 5.07009 | + | 5.07009i | 0.239539 | + | 0.239539i | ||||
\(449\) | 9.54373 | + | 9.54373i | 0.450396 | + | 0.450396i | 0.895486 | − | 0.445090i | \(-0.146828\pi\) |
−0.445090 | + | 0.895486i | \(0.646828\pi\) | |||||||
\(450\) | − | 22.5506i | − | 1.06305i | ||||||
\(451\) | − | 9.90578i | − | 0.466445i | ||||||
\(452\) | −6.08999 | − | 6.08999i | −0.286449 | − | 0.286449i | ||||
\(453\) | −7.30507 | − | 7.30507i | −0.343222 | − | 0.343222i | ||||
\(454\) | 26.9108 | − | 26.9108i | 1.26299 | − | 1.26299i | ||||
\(455\) | −2.45495 | −0.115090 | ||||||||
\(456\) | 3.86670 | − | 3.86670i | 0.181075 | − | 0.181075i | ||||
\(457\) | − | 7.73666i | − | 0.361906i | −0.983492 | − | 0.180953i | \(-0.942082\pi\) | ||
0.983492 | − | 0.180953i | \(-0.0579181\pi\) | |||||||
\(458\) | −26.3920 | −1.23322 | ||||||||
\(459\) | 2.27305 | − | 17.5496i | 0.106097 | − | 0.819143i | ||||
\(460\) | 54.2685 | 2.53028 | ||||||||
\(461\) | 22.8933i | 1.06625i | 0.846038 | + | 0.533123i | \(0.178982\pi\) | ||||
−0.846038 | + | 0.533123i | \(0.821018\pi\) | |||||||
\(462\) | −0.752333 | + | 0.752333i | −0.0350017 | + | 0.0350017i | ||||
\(463\) | −36.2641 | −1.68534 | −0.842668 | − | 0.538433i | \(-0.819016\pi\) | ||||
−0.842668 | + | 0.538433i | \(0.819016\pi\) | |||||||
\(464\) | 2.71284 | − | 2.71284i | 0.125941 | − | 0.125941i | ||||
\(465\) | −17.7921 | − | 17.7921i | −0.825090 | − | 0.825090i | ||||
\(466\) | 27.6624 | + | 27.6624i | 1.28144 | + | 1.28144i | ||||
\(467\) | − | 23.4262i | − | 1.08403i | −0.840368 | − | 0.542017i | \(-0.817661\pi\) | ||
0.840368 | − | 0.542017i | \(-0.182339\pi\) | |||||||
\(468\) | 9.27345i | 0.428666i | ||||||||
\(469\) | 4.19614 | + | 4.19614i | 0.193760 | + | 0.193760i | ||||
\(470\) | −14.8397 | − | 14.8397i | −0.684506 | − | 0.684506i | ||||
\(471\) | −5.07075 | + | 5.07075i | −0.233648 | + | 0.233648i | ||||
\(472\) | −18.5633 | −0.854446 | ||||||||
\(473\) | 0.753153 | − | 0.753153i | 0.0346300 | − | 0.0346300i | ||||
\(474\) | − | 7.26658i | − | 0.333765i | ||||||
\(475\) | −17.1843 | −0.788469 | ||||||||
\(476\) | −0.842541 | + | 6.50503i | −0.0386178 | + | 0.298157i | ||||
\(477\) | −30.3007 | −1.38737 | ||||||||
\(478\) | 30.2231i | 1.38237i | ||||||||
\(479\) | 10.3219 | − | 10.3219i | 0.471620 | − | 0.471620i | −0.430818 | − | 0.902439i | \(-0.641775\pi\) |
0.902439 | + | 0.430818i | \(0.141775\pi\) | |||||||
\(480\) | 18.0955 | 0.825945 | ||||||||
\(481\) | −5.15484 | + | 5.15484i | −0.235040 | + | 0.235040i | ||||
\(482\) | −6.28989 | − | 6.28989i | −0.286497 | − | 0.286497i | ||||
\(483\) | −2.04855 | − | 2.04855i | −0.0932121 | − | 0.0932121i | ||||
\(484\) | 27.5507i | 1.25230i | ||||||||
\(485\) | 11.4704i | 0.520845i | ||||||||
\(486\) | 24.4421 | + | 24.4421i | 1.10872 | + | 1.10872i | ||||
\(487\) | 24.4506 | + | 24.4506i | 1.10796 | + | 1.10796i | 0.993418 | + | 0.114545i | \(0.0365409\pi\) |
0.114545 | + | 0.993418i | \(0.463459\pi\) | |||||||
\(488\) | 13.6425 | − | 13.6425i | 0.617567 | − | 0.617567i | ||||
\(489\) | 11.1641 | 0.504857 | ||||||||
\(490\) | −31.6278 | + | 31.6278i | −1.42880 | + | 1.42880i | ||||
\(491\) | − | 2.59418i | − | 0.117074i | −0.998285 | − | 0.0585370i | \(-0.981356\pi\) | ||
0.998285 | − | 0.0585370i | \(-0.0186435\pi\) | |||||||
\(492\) | −20.8026 | −0.937854 | ||||||||
\(493\) | 8.78109 | + | 1.13734i | 0.395481 | + | 0.0512233i | ||||
\(494\) | 12.1276 | 0.545647 | ||||||||
\(495\) | − | 7.68847i | − | 0.345571i | ||||||
\(496\) | −12.9658 | + | 12.9658i | −0.582184 | + | 0.582184i | ||||
\(497\) | 1.42257 | 0.0638112 | ||||||||
\(498\) | 19.7509 | − | 19.7509i | 0.885061 | − | 0.885061i | ||||
\(499\) | 4.90042 | + | 4.90042i | 0.219373 | + | 0.219373i | 0.808234 | − | 0.588861i | \(-0.200424\pi\) |
−0.588861 | + | 0.808234i | \(0.700424\pi\) | |||||||
\(500\) | −3.82197 | − | 3.82197i | −0.170924 | − | 0.170924i | ||||
\(501\) | 0.862154i | 0.0385182i | ||||||||
\(502\) | 10.2872i | 0.459141i | ||||||||
\(503\) | 11.1720 | + | 11.1720i | 0.498137 | + | 0.498137i | 0.910858 | − | 0.412721i | \(-0.135421\pi\) |
−0.412721 | + | 0.910858i | \(0.635421\pi\) | |||||||
\(504\) | −1.64851 | − | 1.64851i | −0.0734303 | − | 0.0734303i | ||||
\(505\) | 30.3544 | − | 30.3544i | 1.35075 | − | 1.35075i | ||||
\(506\) | 14.8049 | 0.658159 | ||||||||
\(507\) | −6.24000 | + | 6.24000i | −0.277128 | + | 0.277128i | ||||
\(508\) | − | 47.5400i | − | 2.10925i | ||||||
\(509\) | 11.5197 | 0.510601 | 0.255301 | − | 0.966862i | \(-0.417826\pi\) | ||||
0.255301 | + | 0.966862i | \(0.417826\pi\) | |||||||
\(510\) | 13.5074 | + | 17.5270i | 0.598117 | + | 0.776109i | ||||
\(511\) | −0.921967 | −0.0407854 | ||||||||
\(512\) | − | 19.3869i | − | 0.856787i | ||||||
\(513\) | 11.9406 | − | 11.9406i | 0.527190 | − | 0.527190i | ||||
\(514\) | 17.0172 | 0.750598 | ||||||||
\(515\) | 36.2250 | − | 36.2250i | 1.59627 | − | 1.59627i | ||||
\(516\) | −1.58166 | − | 1.58166i | −0.0696286 | − | 0.0696286i | ||||
\(517\) | −2.35897 | − | 2.35897i | −0.103748 | − | 0.103748i | ||||
\(518\) | − | 6.45713i | − | 0.283710i | ||||||
\(519\) | 4.65225i | 0.204211i | ||||||||
\(520\) | −5.28757 | − | 5.28757i | −0.231875 | − | 0.231875i | ||||
\(521\) | −27.6504 | − | 27.6504i | −1.21138 | − | 1.21138i | −0.970572 | − | 0.240813i | \(-0.922586\pi\) |
−0.240813 | − | 0.970572i | \(-0.577414\pi\) | |||||||
\(522\) | −7.84035 | + | 7.84035i | −0.343163 | + | 0.343163i | ||||
\(523\) | −38.3290 | −1.67601 | −0.838006 | − | 0.545661i | \(-0.816279\pi\) | ||||
−0.838006 | + | 0.545661i | \(0.816279\pi\) | |||||||
\(524\) | −5.51236 | + | 5.51236i | −0.240808 | + | 0.240808i | ||||
\(525\) | − | 1.99290i | − | 0.0869772i | ||||||
\(526\) | 44.4805 | 1.93944 | ||||||||
\(527\) | −41.9687 | − | 5.43584i | −1.82818 | − | 0.236789i | ||||
\(528\) | 1.52411 | 0.0663283 | ||||||||
\(529\) | 17.3127i | 0.752726i | ||||||||
\(530\) | 60.8712 | − | 60.8712i | 2.64408 | − | 2.64408i | ||||
\(531\) | −25.2307 | −1.09492 | ||||||||
\(532\) | −4.42597 | + | 4.42597i | −0.191890 | + | 0.191890i | ||||
\(533\) | −9.25929 | − | 9.25929i | −0.401064 | − | 0.401064i | ||||
\(534\) | −15.2459 | − | 15.2459i | −0.659754 | − | 0.659754i | ||||
\(535\) | − | 42.3541i | − | 1.83113i | ||||||
\(536\) | 18.0757i | 0.780749i | ||||||||
\(537\) | −4.63584 | − | 4.63584i | −0.200051 | − | 0.200051i | ||||
\(538\) | −14.4561 | − | 14.4561i | −0.623246 | − | 0.623246i | ||||
\(539\) | −5.02765 | + | 5.02765i | −0.216556 | + | 0.216556i | ||||
\(540\) | −36.6844 | −1.57865 | ||||||||
\(541\) | 15.0818 | − | 15.0818i | 0.648417 | − | 0.648417i | −0.304194 | − | 0.952610i | \(-0.598387\pi\) |
0.952610 | + | 0.304194i | \(0.0983870\pi\) | |||||||
\(542\) | 4.99878i | 0.214716i | ||||||||
\(543\) | −8.13466 | −0.349092 | ||||||||
\(544\) | 24.1064 | − | 18.5779i | 1.03355 | − | 0.796521i | ||||
\(545\) | 2.68015 | 0.114805 | ||||||||
\(546\) | 1.40646i | 0.0601911i | ||||||||
\(547\) | 11.6749 | − | 11.6749i | 0.499181 | − | 0.499181i | −0.412002 | − | 0.911183i | \(-0.635170\pi\) |
0.911183 | + | 0.412002i | \(0.135170\pi\) | |||||||
\(548\) | 57.1067 | 2.43948 | ||||||||
\(549\) | 18.5424 | − | 18.5424i | 0.791372 | − | 0.791372i | ||||
\(550\) | 7.20137 | + | 7.20137i | 0.307068 | + | 0.307068i | ||||
\(551\) | 5.97459 | + | 5.97459i | 0.254526 | + | 0.254526i | ||||
\(552\) | − | 8.82450i | − | 0.375596i | ||||||
\(553\) | 2.36077i | 0.100390i | ||||||||
\(554\) | 3.92309 | + | 3.92309i | 0.166676 | + | 0.166676i | ||||
\(555\) | −8.97517 | − | 8.97517i | −0.380975 | − | 0.380975i | ||||
\(556\) | −16.3847 | + | 16.3847i | −0.694865 | + | 0.694865i | ||||
\(557\) | −2.57463 | −0.109091 | −0.0545453 | − | 0.998511i | \(-0.517371\pi\) | ||||
−0.0545453 | + | 0.998511i | \(0.517371\pi\) | |||||||
\(558\) | 37.4724 | − | 37.4724i | 1.58633 | − | 1.58633i | ||||
\(559\) | − | 1.40800i | − | 0.0595520i | ||||||
\(560\) | −3.11489 | −0.131628 | ||||||||
\(561\) | 2.14718 | + | 2.78615i | 0.0906540 | + | 0.117631i | ||||
\(562\) | 29.4444 | 1.24204 | ||||||||
\(563\) | − | 44.9006i | − | 1.89233i | −0.323681 | − | 0.946166i | \(-0.604920\pi\) | ||
0.323681 | − | 0.946166i | \(-0.395080\pi\) | |||||||
\(564\) | −4.95396 | + | 4.95396i | −0.208599 | + | 0.208599i | ||||
\(565\) | 9.43917 | 0.397109 | ||||||||
\(566\) | 13.0495 | − | 13.0495i | 0.548512 | − | 0.548512i | ||||
\(567\) | −1.46531 | − | 1.46531i | −0.0615372 | − | 0.0615372i | ||||
\(568\) | 3.06400 | + | 3.06400i | 0.128563 | + | 0.128563i | ||||
\(569\) | 44.0724i | 1.84761i | 0.382864 | + | 0.923805i | \(0.374938\pi\) | ||||
−0.382864 | + | 0.923805i | \(0.625062\pi\) | |||||||
\(570\) | 21.1156i | 0.884434i | ||||||||
\(571\) | −13.3101 | − | 13.3101i | −0.557011 | − | 0.557011i | 0.371444 | − | 0.928455i | \(-0.378863\pi\) |
−0.928455 | + | 0.371444i | \(0.878863\pi\) | |||||||
\(572\) | −2.96141 | − | 2.96141i | −0.123823 | − | 0.123823i | ||||
\(573\) | 3.28110 | − | 3.28110i | 0.137070 | − | 0.137070i | ||||
\(574\) | 11.5985 | 0.484112 | ||||||||
\(575\) | −19.6088 | + | 19.6088i | −0.817744 | + | 0.817744i | ||||
\(576\) | 29.6847i | 1.23686i | ||||||||
\(577\) | −23.7653 | −0.989364 | −0.494682 | − | 0.869074i | \(-0.664716\pi\) | ||||
−0.494682 | + | 0.869074i | \(0.664716\pi\) | |||||||
\(578\) | 35.9884 | + | 9.48162i | 1.49692 | + | 0.394383i | ||||
\(579\) | 6.95444 | 0.289017 | ||||||||
\(580\) | − | 18.3554i | − | 0.762167i | ||||||
\(581\) | −6.41668 | + | 6.41668i | −0.266209 | + | 0.266209i | ||||
\(582\) | 6.57153 | 0.272399 | ||||||||
\(583\) | 9.67629 | − | 9.67629i | 0.400751 | − | 0.400751i | ||||
\(584\) | −1.98577 | − | 1.98577i | −0.0821718 | − | 0.0821718i | ||||
\(585\) | −7.18669 | − | 7.18669i | −0.297133 | − | 0.297133i | ||||
\(586\) | − | 26.7563i | − | 1.10529i | ||||||
\(587\) | − | 12.5894i | − | 0.519622i | −0.965660 | − | 0.259811i | \(-0.916340\pi\) | ||
0.965660 | − | 0.259811i | \(-0.0836602\pi\) | |||||||
\(588\) | 10.5583 | + | 10.5583i | 0.435418 | + | 0.435418i | ||||
\(589\) | −28.5551 | − | 28.5551i | −1.17659 | − | 1.17659i | ||||
\(590\) | 50.6860 | − | 50.6860i | 2.08671 | − | 2.08671i | ||||
\(591\) | −19.7330 | −0.811706 | ||||||||
\(592\) | −6.54057 | + | 6.54057i | −0.268816 | + | 0.268816i | ||||
\(593\) | 34.3974i | 1.41253i | 0.707947 | + | 0.706265i | \(0.249621\pi\) | ||||
−0.707947 | + | 0.706265i | \(0.750379\pi\) | |||||||
\(594\) | −10.0078 | −0.410626 | ||||||||
\(595\) | −4.38828 | − | 5.69418i | −0.179902 | − | 0.233438i | ||||
\(596\) | 51.3676 | 2.10410 | ||||||||
\(597\) | 7.48845i | 0.306482i | ||||||||
\(598\) | 13.8387 | − | 13.8387i | 0.565906 | − | 0.565906i | ||||
\(599\) | −7.08031 | −0.289294 | −0.144647 | − | 0.989483i | \(-0.546205\pi\) | ||||
−0.144647 | + | 0.989483i | \(0.546205\pi\) | |||||||
\(600\) | 4.29239 | − | 4.29239i | 0.175236 | − | 0.175236i | ||||
\(601\) | 31.6600 | + | 31.6600i | 1.29144 | + | 1.29144i | 0.933898 | + | 0.357540i | \(0.116384\pi\) |
0.357540 | + | 0.933898i | \(0.383616\pi\) | |||||||
\(602\) | 0.881854 | + | 0.881854i | 0.0359417 | + | 0.0359417i | ||||
\(603\) | 24.5678i | 1.00048i | ||||||||
\(604\) | 36.0194i | 1.46561i | ||||||||
\(605\) | −21.3511 | − | 21.3511i | −0.868045 | − | 0.868045i | ||||
\(606\) | −17.3903 | − | 17.3903i | −0.706434 | − | 0.706434i | ||||
\(607\) | 17.1134 | − | 17.1134i | 0.694611 | − | 0.694611i | −0.268632 | − | 0.963243i | \(-0.586572\pi\) |
0.963243 | + | 0.268632i | \(0.0865716\pi\) | |||||||
\(608\) | 29.0421 | 1.17781 | ||||||||
\(609\) | −0.692886 | + | 0.692886i | −0.0280772 | + | 0.0280772i | ||||
\(610\) | 74.5000i | 3.01642i | ||||||||
\(611\) | −4.41004 | −0.178411 | ||||||||
\(612\) | −21.5095 | + | 16.5765i | −0.869471 | + | 0.670067i | ||||
\(613\) | 10.4587 | 0.422422 | 0.211211 | − | 0.977440i | \(-0.432259\pi\) | ||||
0.211211 | + | 0.977440i | \(0.432259\pi\) | |||||||
\(614\) | − | 8.31195i | − | 0.335443i | ||||||
\(615\) | 16.1215 | − | 16.1215i | 0.650081 | − | 0.650081i | ||||
\(616\) | 1.05288 | 0.0424216 | ||||||||
\(617\) | 1.70626 | − | 1.70626i | 0.0686912 | − | 0.0686912i | −0.671927 | − | 0.740618i | \(-0.734533\pi\) |
0.740618 | + | 0.671927i | \(0.234533\pi\) | |||||||
\(618\) | −20.7537 | − | 20.7537i | −0.834837 | − | 0.834837i | ||||
\(619\) | 15.1477 | + | 15.1477i | 0.608836 | + | 0.608836i | 0.942642 | − | 0.333806i | \(-0.108333\pi\) |
−0.333806 | + | 0.942642i | \(0.608333\pi\) | |||||||
\(620\) | 87.7284i | 3.52326i | ||||||||
\(621\) | − | 27.2505i | − | 1.09353i | ||||||
\(622\) | 7.26953 | + | 7.26953i | 0.291481 | + | 0.291481i | ||||
\(623\) | 4.95308 | + | 4.95308i | 0.198441 | + | 0.198441i | ||||
\(624\) | 1.42464 | − | 1.42464i | 0.0570312 | − | 0.0570312i | ||||
\(625\) | 27.7620 | 1.11048 | ||||||||
\(626\) | 19.7729 | − | 19.7729i | 0.790284 | − | 0.790284i | ||||
\(627\) | 3.35660i | 0.134050i | ||||||||
\(628\) | 25.0026 | 0.997712 | ||||||||
\(629\) | −21.1709 | − | 2.74209i | −0.844140 | − | 0.109334i | ||||
\(630\) | 9.00229 | 0.358660 | ||||||||
\(631\) | 19.5922i | 0.779952i | 0.920825 | + | 0.389976i | \(0.127517\pi\) | ||||
−0.920825 | + | 0.389976i | \(0.872483\pi\) | |||||||
\(632\) | −5.08472 | + | 5.08472i | −0.202259 | + | 0.202259i | ||||
\(633\) | −13.7515 | −0.546575 | ||||||||
\(634\) | 15.9108 | − | 15.9108i | 0.631899 | − | 0.631899i | ||||
\(635\) | 36.8423 | + | 36.8423i | 1.46204 | + | 1.46204i | ||||
\(636\) | −20.3207 | − | 20.3207i | −0.805767 | − | 0.805767i | ||||
\(637\) | 9.39906i | 0.372404i | ||||||||
\(638\) | − | 5.00751i | − | 0.198249i | ||||||
\(639\) | 4.16449 | + | 4.16449i | 0.164745 | + | 0.164745i | ||||
\(640\) | −27.6837 | − | 27.6837i | −1.09429 | − | 1.09429i | ||||
\(641\) | −5.04657 | + | 5.04657i | −0.199327 | + | 0.199327i | −0.799712 | − | 0.600384i | \(-0.795014\pi\) |
0.600384 | + | 0.799712i | \(0.295014\pi\) | |||||||
\(642\) | −24.2651 | −0.957668 | ||||||||
\(643\) | −22.8572 | + | 22.8572i | −0.901399 | + | 0.901399i | −0.995557 | − | 0.0941582i | \(-0.969984\pi\) |
0.0941582 | + | 0.995557i | \(0.469984\pi\) | |||||||
\(644\) | 10.1009i | 0.398029i | ||||||||
\(645\) | 2.45149 | 0.0965273 | ||||||||
\(646\) | 21.6784 | + | 28.1296i | 0.852926 | + | 1.10675i | ||||
\(647\) | −22.1459 | −0.870644 | −0.435322 | − | 0.900275i | \(-0.643366\pi\) | ||||
−0.435322 | + | 0.900275i | \(0.643366\pi\) | |||||||
\(648\) | − | 6.31210i | − | 0.247963i | ||||||
\(649\) | 8.05722 | − | 8.05722i | 0.316274 | − | 0.316274i | ||||
\(650\) | 13.4628 | 0.528053 | ||||||||
\(651\) | 3.31160 | − | 3.31160i | 0.129792 | − | 0.129792i | ||||
\(652\) | −27.5236 | − | 27.5236i | −1.07791 | − | 1.07791i | ||||
\(653\) | 15.9665 | + | 15.9665i | 0.624816 | + | 0.624816i | 0.946759 | − | 0.321943i | \(-0.104336\pi\) |
−0.321943 | + | 0.946759i | \(0.604336\pi\) | |||||||
\(654\) | − | 1.53549i | − | 0.0600422i | ||||||
\(655\) | − | 8.54387i | − | 0.333837i | ||||||
\(656\) | −11.7484 | − | 11.7484i | −0.458697 | − | 0.458697i | ||||
\(657\) | −2.69900 | − | 2.69900i | −0.105298 | − | 0.105298i | ||||
\(658\) | 2.76208 | − | 2.76208i | 0.107677 | − | 0.107677i | ||||
\(659\) | 20.6444 | 0.804192 | 0.402096 | − | 0.915598i | \(-0.368282\pi\) | ||||
0.402096 | + | 0.915598i | \(0.368282\pi\) | |||||||
\(660\) | 5.15615 | − | 5.15615i | 0.200703 | − | 0.200703i | ||||
\(661\) | − | 5.09042i | − | 0.197994i | −0.995088 | − | 0.0989972i | \(-0.968437\pi\) | ||
0.995088 | − | 0.0989972i | \(-0.0315635\pi\) | |||||||
\(662\) | −35.9220 | −1.39615 | ||||||||
\(663\) | 4.61136 | + | 0.597271i | 0.179090 | + | 0.0231961i | ||||
\(664\) | −27.6411 | −1.07268 | ||||||||
\(665\) | − | 6.86003i | − | 0.266020i | ||||||
\(666\) | 18.9028 | − | 18.9028i | 0.732469 | − | 0.732469i | ||||
\(667\) | 13.6351 | 0.527952 | ||||||||
\(668\) | 2.12553 | − | 2.12553i | 0.0822393 | − | 0.0822393i | ||||
\(669\) | 0.257191 | + | 0.257191i | 0.00994356 | + | 0.00994356i | ||||
\(670\) | −49.3545 | − | 49.3545i | −1.90673 | − | 1.90673i | ||||
\(671\) | 11.8428i | 0.457185i | ||||||||
\(672\) | 3.36807i | 0.129926i | ||||||||
\(673\) | −27.5902 | − | 27.5902i | −1.06352 | − | 1.06352i | −0.997841 | − | 0.0656819i | \(-0.979078\pi\) |
−0.0656819 | − | 0.997841i | \(-0.520922\pi\) | |||||||
\(674\) | 39.3051 | + | 39.3051i | 1.51398 | + | 1.51398i | ||||
\(675\) | 13.2552 | − | 13.2552i | 0.510191 | − | 0.510191i | ||||
\(676\) | 30.7678 | 1.18338 | ||||||||
\(677\) | −35.8947 | + | 35.8947i | −1.37955 | + | 1.37955i | −0.534167 | + | 0.845379i | \(0.679375\pi\) |
−0.845379 | + | 0.534167i | \(0.820625\pi\) | |||||||
\(678\) | − | 5.40780i | − | 0.207685i | ||||||
\(679\) | −2.13496 | −0.0819323 | ||||||||
\(680\) | 2.81269 | − | 21.7160i | 0.107862 | − | 0.832772i | ||||
\(681\) | 13.9242 | 0.533577 | ||||||||
\(682\) | 23.9331i | 0.916444i | ||||||||
\(683\) | −20.0605 | + | 20.0605i | −0.767595 | + | 0.767595i | −0.977683 | − | 0.210088i | \(-0.932625\pi\) |
0.210088 | + | 0.977683i | \(0.432625\pi\) | |||||||
\(684\) | −25.9135 | −0.990826 | ||||||||
\(685\) | −44.2562 | + | 44.2562i | −1.69094 | + | 1.69094i | ||||
\(686\) | −12.0598 | − | 12.0598i | −0.460444 | − | 0.460444i | ||||
\(687\) | −6.82788 | − | 6.82788i | −0.260500 | − | 0.260500i | ||||
\(688\) | − | 1.78650i | − | 0.0681096i | ||||||
\(689\) | − | 18.0896i | − | 0.689157i | ||||||
\(690\) | 24.0948 | + | 24.0948i | 0.917271 | + | 0.917271i | ||||
\(691\) | 4.15865 | + | 4.15865i | 0.158203 | + | 0.158203i | 0.781770 | − | 0.623567i | \(-0.214317\pi\) |
−0.623567 | + | 0.781770i | \(0.714317\pi\) | |||||||
\(692\) | 11.4695 | − | 11.4695i | 0.436006 | − | 0.436006i | ||||
\(693\) | 1.43103 | 0.0543605 | ||||||||
\(694\) | 26.1723 | − | 26.1723i | 0.993487 | − | 0.993487i | ||||
\(695\) | − | 25.3954i | − | 0.963302i | ||||||
\(696\) | −2.98474 | −0.113136 | ||||||||
\(697\) | 4.92543 | − | 38.0279i | 0.186564 | − | 1.44041i | ||||
\(698\) | 21.6834 | 0.820730 | ||||||||
\(699\) | 14.3131i | 0.541371i | ||||||||
\(700\) | −4.91324 | + | 4.91324i | −0.185703 | + | 0.185703i | ||||
\(701\) | −10.8175 | −0.408570 | −0.204285 | − | 0.978911i | \(-0.565487\pi\) | ||||
−0.204285 | + | 0.978911i | \(0.565487\pi\) | |||||||
\(702\) | −9.35467 | + | 9.35467i | −0.353069 | + | 0.353069i | ||||
\(703\) | −14.4045 | − | 14.4045i | −0.543277 | − | 0.543277i | ||||
\(704\) | −9.47958 | − | 9.47958i | −0.357275 | − | 0.357275i | ||||
\(705\) | − | 7.67838i | − | 0.289185i | ||||||
\(706\) | − | 12.6936i | − | 0.477730i | ||||||
\(707\) | 5.64977 | + | 5.64977i | 0.212482 | + | 0.212482i | ||||
\(708\) | −16.9205 | − | 16.9205i | −0.635913 | − | 0.635913i | ||||
\(709\) | 20.1983 | − | 20.1983i | 0.758563 | − | 0.758563i | −0.217498 | − | 0.976061i | \(-0.569789\pi\) |
0.976061 | + | 0.217498i | \(0.0697895\pi\) | |||||||
\(710\) | −16.7321 | −0.627946 | ||||||||
\(711\) | −6.91099 | + | 6.91099i | −0.259182 | + | 0.259182i | ||||
\(712\) | 21.3363i | 0.799613i | ||||||||
\(713\) | −65.1679 | −2.44056 | ||||||||
\(714\) | −3.26226 | + | 2.51409i | −0.122087 | + | 0.0940876i | ||||
\(715\) | 4.59003 | 0.171657 | ||||||||
\(716\) | 22.8581i | 0.854249i | ||||||||
\(717\) | −7.81902 | + | 7.81902i | −0.292007 | + | 0.292007i | ||||
\(718\) | −13.5736 | −0.506562 | ||||||||
\(719\) | −18.6242 | + | 18.6242i | −0.694567 | + | 0.694567i | −0.963233 | − | 0.268667i | \(-0.913417\pi\) |
0.268667 | + | 0.963233i | \(0.413417\pi\) | |||||||
\(720\) | −9.11862 | − | 9.11862i | −0.339831 | − | 0.339831i | ||||
\(721\) | 6.74247 | + | 6.74247i | 0.251103 | + | 0.251103i | ||||
\(722\) | − | 7.70590i | − | 0.286784i | ||||||
\(723\) | − | 3.25452i | − | 0.121037i | ||||||
\(724\) | 20.0550 | + | 20.0550i | 0.745337 | + | 0.745337i | ||||
\(725\) | 6.63235 | + | 6.63235i | 0.246319 | + | 0.246319i | ||||
\(726\) | −12.2323 | + | 12.2323i | −0.453982 | + | 0.453982i | ||||
\(727\) | 47.9013 | 1.77656 | 0.888281 | − | 0.459301i | \(-0.151900\pi\) | ||||
0.888281 | + | 0.459301i | \(0.151900\pi\) | |||||||
\(728\) | 0.984161 | − | 0.984161i | 0.0364754 | − | 0.0364754i | ||||
\(729\) | 1.73394i | 0.0642201i | ||||||||
\(730\) | 10.8441 | 0.401357 | ||||||||
\(731\) | 3.26581 | − | 2.51684i | 0.120790 | − | 0.0930885i | ||||
\(732\) | 24.8704 | 0.919236 | ||||||||
\(733\) | − | 4.79484i | − | 0.177101i | −0.996072 | − | 0.0885506i | \(-0.971776\pi\) | ||
0.996072 | − | 0.0885506i | \(-0.0282235\pi\) | |||||||
\(734\) | −55.8401 | + | 55.8401i | −2.06110 | + | 2.06110i | ||||
\(735\) | −16.3648 | −0.603627 | ||||||||
\(736\) | 33.1396 | − | 33.1396i | 1.22154 | − | 1.22154i | ||||
\(737\) | −7.84555 | − | 7.84555i | −0.288994 | − | 0.288994i | ||||
\(738\) | 33.9538 | + | 33.9538i | 1.24986 | + | 1.24986i | ||||
\(739\) | 8.81694i | 0.324336i | 0.986763 | + | 0.162168i | \(0.0518487\pi\) | ||||
−0.986763 | + | 0.162168i | \(0.948151\pi\) | |||||||
\(740\) | 44.2542i | 1.62682i | ||||||||
\(741\) | 3.13754 | + | 3.13754i | 0.115260 | + | 0.115260i | ||||
\(742\) | 11.3298 | + | 11.3298i | 0.415930 | + | 0.415930i | ||||
\(743\) | 27.7101 | − | 27.7101i | 1.01659 | − | 1.01659i | 0.0167249 | − | 0.999860i | \(-0.494676\pi\) |
0.999860 | − | 0.0167249i | \(-0.00532395\pi\) | |||||||
\(744\) | 14.2653 | 0.522993 | ||||||||
\(745\) | −39.8086 | + | 39.8086i | −1.45847 | + | 1.45847i | ||||
\(746\) | 70.0688i | 2.56540i | ||||||||
\(747\) | −37.5688 | −1.37457 | ||||||||
\(748\) | 1.57531 | − | 12.1625i | 0.0575989 | − | 0.444705i | ||||
\(749\) | 7.88326 | 0.288048 | ||||||||
\(750\) | − | 3.39384i | − | 0.123925i | ||||||
\(751\) | 17.0242 | − | 17.0242i | 0.621220 | − | 0.621220i | −0.324623 | − | 0.945843i | \(-0.605237\pi\) |
0.945843 | + | 0.324623i | \(0.105237\pi\) | |||||||
\(752\) | −5.59555 | −0.204049 | ||||||||
\(753\) | −2.66141 | + | 2.66141i | −0.0969871 | + | 0.0969871i | ||||
\(754\) | −4.68070 | − | 4.68070i | −0.170461 | − | 0.170461i | ||||
\(755\) | −27.9141 | − | 27.9141i | −1.01590 | − | 1.01590i | ||||
\(756\) | − | 6.82797i | − | 0.248331i | ||||||
\(757\) | − | 34.1715i | − | 1.24199i | −0.783816 | − | 0.620993i | \(-0.786730\pi\) | ||
0.783816 | − | 0.620993i | \(-0.213270\pi\) | |||||||
\(758\) | −14.1705 | − | 14.1705i | −0.514696 | − | 0.514696i | ||||
\(759\) | 3.83018 | + | 3.83018i | 0.139027 | + | 0.139027i | ||||
\(760\) | 14.7754 | − | 14.7754i | 0.535961 | − | 0.535961i | ||||
\(761\) | 15.6184 | 0.566165 | 0.283083 | − | 0.959096i | \(-0.408643\pi\) | ||||
0.283083 | + | 0.959096i | \(0.408643\pi\) | |||||||
\(762\) | 21.1073 | − | 21.1073i | 0.764638 | − | 0.764638i | ||||
\(763\) | 0.498849i | 0.0180595i | ||||||||
\(764\) | −16.1782 | −0.585308 | ||||||||
\(765\) | 3.82292 | − | 29.5157i | 0.138218 | − | 1.06714i | ||||
\(766\) | −45.8596 | −1.65698 | ||||||||
\(767\) | − | 15.0627i | − | 0.543884i | ||||||
\(768\) | −1.60305 | + | 1.60305i | −0.0578449 | + | 0.0578449i | ||||
\(769\) | −44.3669 | −1.59991 | −0.799956 | − | 0.600059i | \(-0.795144\pi\) | ||||
−0.799956 | + | 0.600059i | \(0.795144\pi\) | |||||||
\(770\) | −2.87481 | + | 2.87481i | −0.103601 | + | 0.103601i | ||||
\(771\) | 4.40253 | + | 4.40253i | 0.158553 | + | 0.158553i | ||||
\(772\) | −17.1453 | − | 17.1453i | −0.617072 | − | 0.617072i | ||||
\(773\) | 29.4703i | 1.05997i | 0.848006 | + | 0.529986i | \(0.177803\pi\) | ||||
−0.848006 | + | 0.529986i | \(0.822197\pi\) | |||||||
\(774\) | 5.16313i | 0.185585i | ||||||||
\(775\) | −31.6988 | − | 31.6988i | −1.13866 | − | 1.13866i | ||||
\(776\) | −4.59837 | − | 4.59837i | −0.165072 | − | 0.165072i | ||||
\(777\) | 1.67052 | − | 1.67052i | 0.0599297 | − | 0.0599297i | ||||
\(778\) | −64.5487 | −2.31418 | ||||||||
\(779\) | 25.8739 | − | 25.8739i | 0.927028 | − | 0.927028i | ||||
\(780\) | − | 9.63928i | − | 0.345142i | ||||||
\(781\) | −2.65980 | −0.0951750 | ||||||||
\(782\) | 56.8355 | + | 7.36142i | 2.03243 | + | 0.263244i | ||||
\(783\) | −9.21703 | −0.329390 | ||||||||
\(784\) | 11.9257i | 0.425919i | ||||||||
\(785\) | −19.3764 | + | 19.3764i | −0.691572 | + | 0.691572i | ||||
\(786\) | −4.89488 | −0.174594 | ||||||||
\(787\) | 23.8435 | − | 23.8435i | 0.849927 | − | 0.849927i | −0.140196 | − | 0.990124i | \(-0.544773\pi\) |
0.990124 | + | 0.140196i | \(0.0447734\pi\) | |||||||
\(788\) | 48.6491 | + | 48.6491i | 1.73305 | + | 1.73305i | ||||
\(789\) | 11.5076 | + | 11.5076i | 0.409680 | + | 0.409680i | ||||
\(790\) | − | 27.7670i | − | 0.987907i | ||||||
\(791\) | 1.75689i | 0.0624677i | ||||||||
\(792\) | 3.08222 | + | 3.08222i | 0.109522 | + | 0.109522i | ||||
\(793\) | 11.0699 | + | 11.0699i | 0.393102 | + | 0.393102i | ||||
\(794\) | 10.4767 | − | 10.4767i | 0.371804 | − | 0.371804i | ||||
\(795\) | 31.4960 | 1.11705 | ||||||||
\(796\) | 18.4618 | − | 18.4618i | 0.654361 | − | 0.654361i | ||||
\(797\) | − | 47.3675i | − | 1.67784i | −0.544252 | − | 0.838922i | \(-0.683186\pi\) | ||
0.544252 | − | 0.838922i | \(-0.316814\pi\) | |||||||
\(798\) | −3.93018 | −0.139127 | ||||||||
\(799\) | −7.88306 | − | 10.2290i | −0.278883 | − | 0.361874i | ||||
\(800\) | 32.2394 | 1.13984 | ||||||||
\(801\) | 28.9996i | 1.02465i | ||||||||
\(802\) | 44.8728 | − | 44.8728i | 1.58451 | − | 1.58451i | ||||
\(803\) | 1.72381 | 0.0608318 | ||||||||
\(804\) | −16.4760 | + | 16.4760i | −0.581065 | + | 0.581065i | ||||
\(805\) | −7.82790 | − | 7.82790i | −0.275897 | − | 0.275897i | ||||
\(806\) | 22.3711 | + | 22.3711i | 0.787988 | + | 0.787988i | ||||
\(807\) | − | 7.47987i | − | 0.263304i | ||||||
\(808\) | 24.3375i | 0.856189i | ||||||||
\(809\) | 20.9683 | + | 20.9683i | 0.737205 | + | 0.737205i | 0.972036 | − | 0.234831i | \(-0.0754536\pi\) |
−0.234831 | + | 0.972036i | \(0.575454\pi\) | |||||||
\(810\) | 17.2348 | + | 17.2348i | 0.605569 | + | 0.605569i | ||||
\(811\) | 8.12732 | − | 8.12732i | 0.285389 | − | 0.285389i | −0.549865 | − | 0.835254i | \(-0.685321\pi\) |
0.835254 | + | 0.549865i | \(0.185321\pi\) | |||||||
\(812\) | 3.41644 | 0.119894 | ||||||||
\(813\) | −1.29323 | + | 1.29323i | −0.0453557 | + | 0.0453557i | ||||
\(814\) | 12.0729i | 0.423156i | ||||||||
\(815\) | 42.6602 | 1.49432 | ||||||||
\(816\) | 5.85099 | + | 0.757830i | 0.204826 | + | 0.0265293i | ||||
\(817\) | 3.93447 | 0.137650 | ||||||||
\(818\) | 71.9387i | 2.51528i | ||||||||
\(819\) | 1.33764 | − | 1.33764i | 0.0467409 | − | 0.0467409i | ||||
\(820\) | −79.4909 | −2.77594 | ||||||||
\(821\) | −10.0028 | + | 10.0028i | −0.349101 | + | 0.349101i | −0.859775 | − | 0.510673i | \(-0.829396\pi\) |
0.510673 | + | 0.859775i | \(0.329396\pi\) | |||||||
\(822\) | 25.3549 | + | 25.3549i | 0.884352 | + | 0.884352i | ||||
\(823\) | 31.6115 | + | 31.6115i | 1.10191 | + | 1.10191i | 0.994181 | + | 0.107727i | \(0.0343571\pi\) |
0.107727 | + | 0.994181i | \(0.465643\pi\) | |||||||
\(824\) | 29.0444i | 1.01181i | ||||||||
\(825\) | 3.72614i | 0.129727i | ||||||||
\(826\) | 9.43405 | + | 9.43405i | 0.328253 | + | 0.328253i | ||||
\(827\) | −1.23920 | − | 1.23920i | −0.0430913 | − | 0.0430913i | 0.685233 | − | 0.728324i | \(-0.259700\pi\) |
−0.728324 | + | 0.685233i | \(0.759700\pi\) | |||||||
\(828\) | −29.5696 | + | 29.5696i | −1.02761 | + | 1.02761i | ||||
\(829\) | −19.0371 | −0.661187 | −0.330594 | − | 0.943773i | \(-0.607249\pi\) | ||||
−0.330594 | + | 0.943773i | \(0.607249\pi\) | |||||||
\(830\) | 75.4722 | − | 75.4722i | 2.61968 | − | 2.61968i | ||||
\(831\) | 2.02989i | 0.0704160i | ||||||||
\(832\) | −17.7218 | −0.614393 | ||||||||
\(833\) | −21.8009 | + | 16.8011i | −0.755355 | + | 0.582123i | ||||
\(834\) | −14.5493 | −0.503801 | ||||||||
\(835\) | 3.29446i | 0.114010i | ||||||||
\(836\) | 8.27527 | − | 8.27527i | 0.286206 | − | 0.286206i | ||||
\(837\) | 44.0522 | 1.52267 | ||||||||
\(838\) | −25.2023 | + | 25.2023i | −0.870599 | + | 0.870599i | ||||
\(839\) | 34.0266 | + | 34.0266i | 1.17473 | + | 1.17473i | 0.981069 | + | 0.193660i | \(0.0620357\pi\) |
0.193660 | + | 0.981069i | \(0.437964\pi\) | |||||||
\(840\) | 1.71354 | + | 1.71354i | 0.0591227 | + | 0.0591227i | ||||
\(841\) | 24.3882i | 0.840971i | ||||||||
\(842\) | − | 1.27336i | − | 0.0438830i | ||||||
\(843\) | 7.61755 | + | 7.61755i | 0.262362 | + | 0.262362i | ||||
\(844\) | 33.9027 | + | 33.9027i | 1.16698 | + | 1.16698i | ||||
\(845\) | −23.8443 | + | 23.8443i | −0.820268 | + | 0.820268i | ||||
\(846\) | 16.1716 | 0.555992 | ||||||||
\(847\) | 3.97402 | − | 3.97402i | 0.136549 | − | 0.136549i | ||||
\(848\) | − | 22.9524i | − | 0.788189i | ||||||
\(849\) | 6.75208 | 0.231731 | ||||||||
\(850\) | 24.0651 | + | 31.2265i | 0.825425 | + | 1.07106i | ||||
\(851\) | −32.8737 | −1.12690 | ||||||||
\(852\) | 5.58570i | 0.191363i | ||||||||
\(853\) | 23.9534 | − | 23.9534i | 0.820148 | − | 0.820148i | −0.165981 | − | 0.986129i | \(-0.553079\pi\) |
0.986129 | + | 0.165981i | \(0.0530790\pi\) | |||||||
\(854\) | −13.8665 | −0.474502 | ||||||||
\(855\) | 20.0823 | − | 20.0823i | 0.686799 | − | 0.686799i | ||||
\(856\) | 16.9793 | + | 16.9793i | 0.580341 | + | 0.580341i | ||||
\(857\) | −13.7646 | − | 13.7646i | −0.470189 | − | 0.470189i | 0.431787 | − | 0.901976i | \(-0.357883\pi\) |
−0.901976 | + | 0.431787i | \(0.857883\pi\) | |||||||
\(858\) | − | 2.62968i | − | 0.0897757i | ||||||
\(859\) | 5.32329i | 0.181628i | 0.995868 | + | 0.0908141i | \(0.0289469\pi\) | ||||
−0.995868 | + | 0.0908141i | \(0.971053\pi\) | |||||||
\(860\) | −6.04383 | − | 6.04383i | −0.206093 | − | 0.206093i | ||||
\(861\) | 3.00065 | + | 3.00065i | 0.102262 | + | 0.102262i | ||||
\(862\) | −2.61052 | + | 2.61052i | −0.0889147 | + | 0.0889147i | ||||
\(863\) | 22.4195 | 0.763169 | 0.381584 | − | 0.924334i | \(-0.375379\pi\) | ||||
0.381584 | + | 0.924334i | \(0.375379\pi\) | |||||||
\(864\) | −22.4017 | + | 22.4017i | −0.762121 | + | 0.762121i | ||||
\(865\) | 17.7772i | 0.604441i | ||||||||
\(866\) | 33.4716 | 1.13741 | ||||||||
\(867\) | 6.85758 | + | 11.7636i | 0.232896 | + | 0.399512i | ||||
\(868\) | −16.3287 | −0.554231 | ||||||||
\(869\) | − | 4.41394i | − | 0.149733i | ||||||
\(870\) | 8.14964 | − | 8.14964i | 0.276299 | − | 0.276299i | ||||
\(871\) | −14.6670 | −0.496973 | ||||||||
\(872\) | −1.07444 | + | 1.07444i | −0.0363852 | + | 0.0363852i | ||||
\(873\) | −6.24995 | − | 6.24995i | −0.211529 | − | 0.211529i | ||||
\(874\) | 38.6704 | + | 38.6704i | 1.30805 | + | 1.30805i | ||||
\(875\) | 1.10259i | 0.0372744i | ||||||||
\(876\) | − | 3.62008i | − | 0.122311i | ||||||
\(877\) | −18.1654 | − | 18.1654i | −0.613403 | − | 0.613403i | 0.330428 | − | 0.943831i | \(-0.392807\pi\) |
−0.943831 | + | 0.330428i | \(0.892807\pi\) | |||||||
\(878\) | −0.703611 | − | 0.703611i | −0.0237457 | − | 0.0237457i | ||||
\(879\) | 6.92213 | − | 6.92213i | 0.233478 | − | 0.233478i | ||||
\(880\) | 5.82392 | 0.196324 | ||||||||
\(881\) | 12.3483 | − | 12.3483i | 0.416024 | − | 0.416024i | −0.467807 | − | 0.883831i | \(-0.654956\pi\) |
0.883831 | + | 0.467807i | \(0.154956\pi\) | |||||||
\(882\) | − | 34.4664i | − | 1.16054i | ||||||
\(883\) | −1.19226 | −0.0401227 | −0.0200613 | − | 0.999799i | \(-0.506386\pi\) | ||||
−0.0200613 | + | 0.999799i | \(0.506386\pi\) | |||||||
\(884\) | −9.89623 | − | 12.8412i | −0.332846 | − | 0.431897i | ||||
\(885\) | 26.2260 | 0.881577 | ||||||||
\(886\) | − | 37.2746i | − | 1.25226i | ||||||
\(887\) | −11.7737 | + | 11.7737i | −0.395322 | + | 0.395322i | −0.876579 | − | 0.481257i | \(-0.840180\pi\) |
0.481257 | + | 0.876579i | \(0.340180\pi\) | |||||||
\(888\) | 7.19609 | 0.241485 | ||||||||
\(889\) | −6.85735 | + | 6.85735i | −0.229988 | + | 0.229988i | ||||
\(890\) | −58.2575 | − | 58.2575i | −1.95280 | − | 1.95280i | ||||
\(891\) | 2.73970 | + | 2.73970i | 0.0917834 | + | 0.0917834i | ||||
\(892\) | − | 1.26814i | − | 0.0424605i | ||||||
\(893\) | − | 12.3233i | − | 0.412383i | ||||||
\(894\) | 22.8068 | + | 22.8068i | 0.762772 | + | 0.762772i | ||||
\(895\) | −17.7145 | − | 17.7145i | −0.592130 | − | 0.592130i | ||||
\(896\) | 5.15269 | − | 5.15269i | 0.172139 | − | 0.172139i | ||||
\(897\) | 7.16042 | 0.239079 | ||||||||
\(898\) | 20.8932 | − | 20.8932i | 0.697215 | − | 0.697215i | ||||
\(899\) | 22.0419i | 0.735140i | ||||||||
\(900\) | −28.7663 | −0.958878 | ||||||||
\(901\) | 41.9582 | − | 32.3356i | 1.39783 | − | 1.07725i | ||||
\(902\) | −21.6858 | −0.722058 | ||||||||
\(903\) | 0.456289i | 0.0151843i | ||||||||
\(904\) | −3.78406 | + | 3.78406i | −0.125856 | + | 0.125856i | ||||
\(905\) | −31.0842 | −1.03327 | ||||||||
\(906\) | −15.9923 | + | 15.9923i | −0.531309 | + | 0.531309i | ||||
\(907\) | −4.25135 | − | 4.25135i | −0.141164 | − | 0.141164i | 0.632993 | − | 0.774157i | \(-0.281826\pi\) |
−0.774157 | + | 0.632993i | \(0.781826\pi\) | |||||||
\(908\) | −34.3283 | − | 34.3283i | −1.13923 | − | 1.13923i | ||||
\(909\) | 33.0787i | 1.09715i | ||||||||
\(910\) | 5.37438i | 0.178159i | ||||||||
\(911\) | 13.4127 | + | 13.4127i | 0.444382 | + | 0.444382i | 0.893482 | − | 0.449099i | \(-0.148255\pi\) |
−0.449099 | + | 0.893482i | \(0.648255\pi\) | |||||||
\(912\) | 3.98097 | + | 3.98097i | 0.131823 | + | 0.131823i | ||||
\(913\) | 11.9973 | − | 11.9973i | 0.397053 | − | 0.397053i | ||||
\(914\) | −16.9371 | −0.560231 | ||||||||
\(915\) | −19.2739 | + | 19.2739i | −0.637176 | + | 0.637176i | ||||
\(916\) | 33.6665i | 1.11237i | ||||||||
\(917\) | 1.59025 | 0.0525146 | ||||||||
\(918\) | −38.4196 | − | 4.97617i | −1.26804 | − | 0.164238i | ||||
\(919\) | 15.3942 | 0.507809 | 0.253905 | − | 0.967229i | \(-0.418285\pi\) | ||||
0.253905 | + | 0.967229i | \(0.418285\pi\) | |||||||
\(920\) | − | 33.7202i | − | 1.11172i | ||||||
\(921\) | 2.15039 | − | 2.15039i | 0.0708576 | − | 0.0708576i | ||||
\(922\) | 50.1180 | 1.65055 | ||||||||
\(923\) | −2.48621 | + | 2.48621i | −0.0818345 | + | 0.0818345i | ||||
\(924\) | 0.959701 | + | 0.959701i | 0.0315718 | + | 0.0315718i | ||||
\(925\) | −15.9904 | − | 15.9904i | −0.525760 | − | 0.525760i | ||||
\(926\) | 79.3896i | 2.60890i | ||||||||
\(927\) | 39.4762i | 1.29657i | ||||||||
\(928\) | −11.2089 | − | 11.2089i | −0.367951 | − | 0.367951i | ||||
\(929\) | −2.84903 | − | 2.84903i | −0.0934738 | − | 0.0934738i | 0.658824 | − | 0.752297i | \(-0.271054\pi\) |
−0.752297 | + | 0.658824i | \(0.771054\pi\) | |||||||
\(930\) | −38.9507 | + | 38.9507i | −1.27724 | + | 1.27724i | ||||
\(931\) | −26.2644 | −0.860782 | ||||||||
\(932\) | 35.2871 | − | 35.2871i | 1.15587 | − | 1.15587i | ||||
\(933\) | 3.76140i | 0.123143i | ||||||||
\(934\) | −51.2847 | −1.67809 | ||||||||
\(935\) | 8.20480 | + | 10.6464i | 0.268326 | + | 0.348176i | ||||
\(936\) | 5.76213 | 0.188341 | ||||||||
\(937\) | − | 3.41787i | − | 0.111657i | −0.998440 | − | 0.0558284i | \(-0.982220\pi\) | ||
0.998440 | − | 0.0558284i | \(-0.0177800\pi\) | |||||||
\(938\) | 9.18621 | − | 9.18621i | 0.299940 | − | 0.299940i | ||||
\(939\) | 10.2309 | 0.333873 | ||||||||
\(940\) | −18.9301 | + | 18.9301i | −0.617431 | + | 0.617431i | ||||
\(941\) | 15.2387 | + | 15.2387i | 0.496768 | + | 0.496768i | 0.910430 | − | 0.413662i | \(-0.135751\pi\) |
−0.413662 | + | 0.910430i | \(0.635751\pi\) | |||||||
\(942\) | 11.1009 | + | 11.1009i | 0.361688 | + | 0.361688i | ||||
\(943\) | − | 59.0488i | − | 1.92289i | ||||||
\(944\) | − | 19.1119i | − | 0.622040i | ||||||
\(945\) | 5.29150 | + | 5.29150i | 0.172133 | + | 0.172133i | ||||
\(946\) | −1.64881 | − | 1.64881i | −0.0536074 | − | 0.0536074i | ||||
\(947\) | −12.1567 | + | 12.1567i | −0.395041 | + | 0.395041i | −0.876480 | − | 0.481439i | \(-0.840114\pi\) |
0.481439 | + | 0.876480i | \(0.340114\pi\) | |||||||
\(948\) | −9.26949 | −0.301059 | ||||||||
\(949\) | 1.61130 | − | 1.61130i | 0.0523052 | − | 0.0523052i | ||||
\(950\) | 37.6199i | 1.22055i | ||||||||
\(951\) | 8.23257 | 0.266960 | ||||||||
\(952\) | 4.04195 | + | 0.523519i | 0.131000 | + | 0.0169674i | ||||
\(953\) | −36.9520 | −1.19699 | −0.598496 | − | 0.801125i | \(-0.704235\pi\) | ||||
−0.598496 | + | 0.801125i | \(0.704235\pi\) | |||||||
\(954\) | 66.3344i | 2.14766i | ||||||||
\(955\) | 12.5377 | − | 12.5377i | 0.405711 | − | 0.405711i | ||||
\(956\) | 38.5536 | 1.24691 | ||||||||
\(957\) | 1.29549 | − | 1.29549i | 0.0418774 | − | 0.0418774i | ||||
\(958\) | −22.5968 | − | 22.5968i | −0.730070 | − | 0.730070i | ||||
\(959\) | −8.23728 | − | 8.23728i | −0.265996 | − | 0.265996i | ||||
\(960\) | − | 30.8557i | − | 0.995864i | ||||||
\(961\) | − | 74.3480i | − | 2.39832i | ||||||
\(962\) | 11.2850 | + | 11.2850i | 0.363843 | + | 0.363843i | ||||
\(963\) | 23.0777 | + | 23.0777i | 0.743669 | + | 0.743669i | ||||
\(964\) | −8.02360 | + | 8.02360i | −0.258423 | + | 0.258423i | ||||
\(965\) | 26.5743 | 0.855457 | ||||||||
\(966\) | −4.48469 | + | 4.48469i | −0.144293 | + | 0.144293i | ||||
\(967\) | − | 6.51055i | − | 0.209365i | −0.994506 | − | 0.104683i | \(-0.966617\pi\) | ||
0.994506 | − | 0.104683i | \(-0.0333827\pi\) | |||||||
\(968\) | 17.1188 | 0.550220 | ||||||||
\(969\) | −1.66900 | + | 12.8859i | −0.0536159 | + | 0.413953i | ||||
\(970\) | 25.1111 | 0.806270 | ||||||||
\(971\) | 28.3045i | 0.908336i | 0.890916 | + | 0.454168i | \(0.150063\pi\) | ||||
−0.890916 | + | 0.454168i | \(0.849937\pi\) | |||||||
\(972\) | 31.1792 | − | 31.1792i | 1.00007 | − | 1.00007i | ||||
\(973\) | 4.72677 | 0.151533 | ||||||||
\(974\) | 53.5274 | − | 53.5274i | 1.71513 | − | 1.71513i | ||||
\(975\) | 3.48295 | + | 3.48295i | 0.111544 | + | 0.111544i | ||||
\(976\) | 14.0457 | + | 14.0457i | 0.449591 | + | 0.449591i | ||||
\(977\) | − | 35.9561i | − | 1.15034i | −0.818035 | − | 0.575169i | \(-0.804936\pi\) | ||
0.818035 | − | 0.575169i | \(-0.195064\pi\) | |||||||
\(978\) | − | 24.4405i | − | 0.781520i | ||||||
\(979\) | −9.26081 | − | 9.26081i | −0.295977 | − | 0.295977i | ||||
\(980\) | 40.3454 | + | 40.3454i | 1.28879 | + | 1.28879i | ||||
\(981\) | −1.46035 | + | 1.46035i | −0.0466253 | + | 0.0466253i | ||||
\(982\) | −5.67921 | −0.181231 | ||||||||
\(983\) | 39.8828 | − | 39.8828i | 1.27206 | − | 1.27206i | 0.327058 | − | 0.945004i | \(-0.393943\pi\) |
0.945004 | − | 0.327058i | \(-0.106057\pi\) | |||||||
\(984\) | 12.9259i | 0.412061i | ||||||||
\(985\) | −75.4036 | −2.40256 | ||||||||
\(986\) | 2.48987 | − | 19.2236i | 0.0792937 | − | 0.612205i | ||||
\(987\) | 1.42916 | 0.0454906 | ||||||||
\(988\) | − | 15.4704i | − | 0.492178i | ||||||
\(989\) | 4.48958 | − | 4.48958i | 0.142760 | − | 0.142760i | ||||
\(990\) | −16.8316 | −0.534945 | ||||||||
\(991\) | −29.1811 | + | 29.1811i | −0.926970 | + | 0.926970i | −0.997509 | − | 0.0705393i | \(-0.977528\pi\) |
0.0705393 | + | 0.997509i | \(0.477528\pi\) | |||||||
\(992\) | 53.5722 | + | 53.5722i | 1.70092 | + | 1.70092i | ||||
\(993\) | −9.29338 | − | 9.29338i | −0.294917 | − | 0.294917i | ||||
\(994\) | − | 3.11431i | − | 0.0987799i | ||||||
\(995\) | 28.6148i | 0.907152i | ||||||||
\(996\) | −25.1949 | − | 25.1949i | −0.798333 | − | 0.798333i | ||||
\(997\) | −0.200109 | − | 0.200109i | −0.00633750 | − | 0.00633750i | 0.703931 | − | 0.710268i | \(-0.251426\pi\) |
−0.710268 | + | 0.703931i | \(0.751426\pi\) | |||||||
\(998\) | 10.7280 | − | 10.7280i | 0.339590 | − | 0.339590i | ||||
\(999\) | 22.2219 | 0.703071 |
(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.f.c.259.5 | ✓ | 56 | |
17.13 | even | 4 | inner | 731.2.f.c.302.24 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.f.c.259.5 | ✓ | 56 | 1.1 | even | 1 | trivial | |
731.2.f.c.302.24 | yes | 56 | 17.13 | even | 4 | inner |