Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [855,2,Mod(199,855)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(855, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("855.199");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 855 = 3^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 855.da (of order \(18\), degree \(6\), 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: | \(6.82720937282\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 199.2 | ||
Character | \(\chi\) | \(=\) | 855.199 |
Dual form | 855.2.da.b.739.2 |
$q$-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 \(\left(\mathbb{Z}/855\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(496\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.45670 | + | 0.256855i | −1.03004 | + | 0.181624i | −0.663030 | − | 0.748593i | \(-0.730730\pi\) |
−0.367010 | + | 0.930217i | \(0.619619\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.176607 | − | 0.0642796i | 0.0883034 | − | 0.0321398i | ||||
\(5\) | −0.658585 | + | 2.13688i | −0.294528 | + | 0.955643i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.81448 | + | 1.62494i | 1.06377 | + | 0.614169i | 0.926473 | − | 0.376361i | \(-0.122825\pi\) |
0.137298 | + | 0.990530i | \(0.456158\pi\) | |||||||
\(8\) | 2.32124 | − | 1.34017i | 0.820684 | − | 0.473822i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.410490 | − | 3.28195i | 0.129808 | − | 1.03784i | ||||
\(11\) | −2.09200 | − | 3.62344i | −0.630760 | − | 1.09251i | −0.987397 | − | 0.158265i | \(-0.949410\pi\) |
0.356636 | − | 0.934243i | \(-0.383924\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.14682 | − | 1.36673i | 0.318070 | − | 0.379062i | −0.583193 | − | 0.812334i | \(-0.698197\pi\) |
0.901263 | + | 0.433272i | \(0.142641\pi\) | |||||||
\(14\) | −4.51721 | − | 1.64413i | −1.20728 | − | 0.439412i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.32506 | + | 2.79006i | −0.831266 | + | 0.697515i | ||||
\(17\) | 6.23606 | − | 1.09959i | 1.51247 | − | 0.266689i | 0.644999 | − | 0.764183i | \(-0.276858\pi\) |
0.867467 | + | 0.497495i | \(0.165747\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.09399 | − | 1.49640i | 0.939226 | − | 0.343298i | ||||
\(20\) | 0.0210474 | + | 0.419722i | 0.00470635 | + | 0.0938526i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.97810 | + | 4.74092i | 0.848134 | + | 1.01077i | ||||
\(23\) | −0.490346 | − | 1.34721i | −0.102244 | − | 0.280914i | 0.878014 | − | 0.478635i | \(-0.158868\pi\) |
−0.980258 | + | 0.197721i | \(0.936646\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.13253 | − | 2.81464i | −0.826506 | − | 0.562927i | ||||
\(26\) | −1.31952 | + | 2.28547i | −0.258779 | + | 0.448218i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.601506 | + | 0.106062i | 0.113674 | + | 0.0200438i | ||||
\(29\) | −0.0589345 | + | 0.334234i | −0.0109439 | + | 0.0620657i | −0.989791 | − | 0.142529i | \(-0.954477\pi\) |
0.978847 | + | 0.204595i | \(0.0655877\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.38932 | − | 2.40638i | 0.249530 | − | 0.432199i | −0.713866 | − | 0.700283i | \(-0.753057\pi\) |
0.963395 | + | 0.268084i | \(0.0863906\pi\) | |||||||
\(32\) | 0.681187 | − | 0.811808i | 0.120418 | − | 0.143509i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −8.80161 | + | 3.20352i | −1.50946 | + | 0.549400i | ||||
\(35\) | −5.32587 | + | 4.94404i | −0.900237 | + | 0.835696i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 2.70482i | − | 0.444670i | −0.974970 | − | 0.222335i | \(-0.928632\pi\) | ||
0.974970 | − | 0.222335i | \(-0.0713679\pi\) | |||||||
\(38\) | −5.57935 | + | 3.23137i | −0.905090 | + | 0.524197i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.33505 | + | 5.84284i | 0.211090 | + | 0.923834i | ||||
\(41\) | 5.46819 | − | 4.58835i | 0.853987 | − | 0.716581i | −0.106677 | − | 0.994294i | \(-0.534021\pi\) |
0.960664 | + | 0.277713i | \(0.0895765\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.38403 | + | 9.29755i | −0.516060 | + | 1.41786i | 0.358767 | + | 0.933427i | \(0.383197\pi\) |
−0.874827 | + | 0.484436i | \(0.839025\pi\) | |||||||
\(44\) | −0.602374 | − | 0.505452i | −0.0908113 | − | 0.0761997i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.06032 | + | 1.83654i | 0.156336 | + | 0.270782i | ||||
\(47\) | 0.438674 | + | 0.0773501i | 0.0639872 | + | 0.0112827i | 0.205550 | − | 0.978647i | \(-0.434102\pi\) |
−0.141563 | + | 0.989929i | \(0.545213\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.78085 | + | 3.08452i | 0.254407 | + | 0.440645i | ||||
\(50\) | 6.74280 | + | 3.03861i | 0.953576 | + | 0.429725i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.114683 | − | 0.315090i | 0.0159037 | − | 0.0436952i | ||||
\(53\) | 2.47532 | + | 6.80087i | 0.340011 | + | 0.934172i | 0.985391 | + | 0.170310i | \(0.0544769\pi\) |
−0.645380 | + | 0.763862i | \(0.723301\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.12062 | − | 2.08400i | 1.22982 | − | 0.281007i | ||||
\(56\) | 8.71078 | 1.16403 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | − | 0.502015i | − | 0.0659178i | ||||||
\(59\) | 0.545712 | + | 3.09489i | 0.0710457 | + | 0.402920i | 0.999504 | + | 0.0314842i | \(0.0100234\pi\) |
−0.928459 | + | 0.371436i | \(0.878866\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.88074 | − | 1.04850i | 0.368841 | − | 0.134247i | −0.150948 | − | 0.988542i | \(-0.548233\pi\) |
0.519789 | + | 0.854295i | \(0.326010\pi\) | |||||||
\(62\) | −1.40573 | + | 3.86222i | −0.178528 | + | 0.490503i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.55679 | − | 6.16055i | 0.444599 | − | 0.770068i | ||||
\(65\) | 2.16526 | + | 3.35072i | 0.268567 | + | 0.415606i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.42261 | + | 1.48513i | 1.02899 | + | 0.181438i | 0.662559 | − | 0.749009i | \(-0.269470\pi\) |
0.366426 | + | 0.930447i | \(0.380581\pi\) | |||||||
\(68\) | 1.03065 | − | 0.595046i | 0.124985 | − | 0.0721599i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.48828 | − | 8.56995i | 0.775498 | − | 1.02430i | ||||
\(71\) | 12.1153 | + | 4.40959i | 1.43782 | + | 0.523322i | 0.939161 | − | 0.343478i | \(-0.111605\pi\) |
0.498656 | + | 0.866800i | \(0.333827\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.17133 | + | 1.39594i | 0.137094 | + | 0.163382i | 0.830223 | − | 0.557431i | \(-0.188213\pi\) |
−0.693129 | + | 0.720813i | \(0.743768\pi\) | |||||||
\(74\) | 0.694747 | + | 3.94011i | 0.0807627 | + | 0.458028i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.626839 | − | 0.527435i | 0.0719034 | − | 0.0605010i | ||||
\(77\) | − | 13.5974i | − | 1.54957i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.535235 | + | 0.449116i | −0.0602187 | + | 0.0505295i | −0.672400 | − | 0.740188i | \(-0.734737\pi\) |
0.612182 | + | 0.790717i | \(0.290292\pi\) | |||||||
\(80\) | −3.77219 | − | 8.94276i | −0.421744 | − | 0.999831i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.78695 | + | 8.08837i | −0.749493 | + | 0.893211i | ||||
\(83\) | 0.478899 | + | 0.276493i | 0.0525660 | + | 0.0303490i | 0.526053 | − | 0.850452i | \(-0.323671\pi\) |
−0.473487 | + | 0.880801i | \(0.657005\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.75729 | + | 14.0499i | −0.190605 | + | 1.52392i | ||||
\(86\) | 2.54139 | − | 14.4129i | 0.274045 | − | 1.55419i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −9.71206 | − | 5.60726i | −1.03531 | − | 0.597736i | ||||
\(89\) | 5.23109 | + | 4.38940i | 0.554494 | + | 0.465276i | 0.876459 | − | 0.481476i | \(-0.159899\pi\) |
−0.321965 | + | 0.946751i | \(0.604343\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.44854 | − | 1.98311i | 0.571162 | − | 0.207886i | ||||
\(92\) | −0.173197 | − | 0.206408i | −0.0180570 | − | 0.0215195i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.658883 | −0.0679586 | ||||||||
\(95\) | 0.501395 | + | 9.73389i | 0.0514420 | + | 0.998676i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.0001 | − | 2.29226i | 1.31996 | − | 0.232744i | 0.531094 | − | 0.847313i | \(-0.321781\pi\) |
0.788863 | + | 0.614569i | \(0.210670\pi\) | |||||||
\(98\) | −3.38643 | − | 4.03579i | −0.342081 | − | 0.407676i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.910757 | − | 0.231446i | −0.0910757 | − | 0.0231446i | ||||
\(101\) | −13.2339 | − | 11.1046i | −1.31683 | − | 1.10495i | −0.986968 | − | 0.160916i | \(-0.948555\pi\) |
−0.329857 | − | 0.944031i | \(-0.607001\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.9759 | + | 6.91430i | −1.18002 | + | 0.681286i | −0.956020 | − | 0.293302i | \(-0.905246\pi\) |
−0.224003 | + | 0.974589i | \(0.571912\pi\) | |||||||
\(104\) | 0.830401 | − | 4.70944i | 0.0814275 | − | 0.461798i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.35262 | − | 9.27101i | −0.519893 | − | 0.900481i | ||||
\(107\) | −2.82722 | − | 1.63230i | −0.273318 | − | 0.157800i | 0.357077 | − | 0.934075i | \(-0.383774\pi\) |
−0.630394 | + | 0.776275i | \(0.717107\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.02669 | − | 1.10163i | −0.289905 | − | 0.105517i | 0.192974 | − | 0.981204i | \(-0.438187\pi\) |
−0.482879 | + | 0.875687i | \(0.660409\pi\) | |||||||
\(110\) | −12.7507 | + | 5.37844i | −1.21573 | + | 0.512814i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −13.8920 | + | 2.44953i | −1.31267 | + | 0.231459i | ||||
\(113\) | 4.71007i | 0.443086i | 0.975151 | + | 0.221543i | \(0.0711093\pi\) | ||||
−0.975151 | + | 0.221543i | \(0.928891\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.20177 | − | 0.160557i | 0.298567 | − | 0.0149720i | ||||
\(116\) | 0.0110762 | + | 0.0628163i | 0.00102840 | + | 0.00583234i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.58988 | − | 4.36815i | −0.146360 | − | 0.402121i | ||||
\(119\) | 19.3380 | + | 7.03845i | 1.77271 | + | 0.645214i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.25289 | + | 5.63416i | −0.295717 | + | 0.512197i | ||||
\(122\) | −3.92705 | + | 2.26729i | −0.355539 | + | 0.205270i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.0906829 | − | 0.514288i | 0.00814356 | − | 0.0461844i | ||||
\(125\) | 8.73617 | − | 6.97706i | 0.781387 | − | 0.624047i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.380538 | + | 0.453507i | −0.0337673 | + | 0.0402423i | −0.782664 | − | 0.622445i | \(-0.786140\pi\) |
0.748897 | + | 0.662687i | \(0.230584\pi\) | |||||||
\(128\) | −4.32371 | + | 11.8793i | −0.382165 | + | 1.04999i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.01477 | − | 4.32483i | −0.352119 | − | 0.379313i | ||||
\(131\) | 3.56830 | + | 20.2369i | 0.311764 | + | 1.76810i | 0.589817 | + | 0.807537i | \(0.299200\pi\) |
−0.278053 | + | 0.960566i | \(0.589689\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13.9540 | + | 2.44090i | 1.20997 | + | 0.211653i | ||||
\(134\) | −12.6507 | −1.09285 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 13.0018 | − | 10.9098i | 1.11489 | − | 0.935506i | ||||
\(137\) | 2.99407 | + | 8.22613i | 0.255800 | + | 0.702806i | 0.999415 | + | 0.0341973i | \(0.0108875\pi\) |
−0.743615 | + | 0.668608i | \(0.766890\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.89041 | − | 4.94264i | −0.499618 | − | 0.419229i | 0.357840 | − | 0.933783i | \(-0.383513\pi\) |
−0.857458 | + | 0.514553i | \(0.827958\pi\) | |||||||
\(140\) | −0.622784 | + | 1.21550i | −0.0526349 | + | 0.102728i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −18.7809 | − | 3.31158i | −1.57606 | − | 0.277901i | ||||
\(143\) | −7.35139 | − | 1.29625i | −0.614754 | − | 0.108398i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.675405 | − | 0.346057i | −0.0560893 | − | 0.0287385i | ||||
\(146\) | −2.06483 | − | 1.73260i | −0.170887 | − | 0.143391i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.173865 | − | 0.477690i | −0.0142916 | − | 0.0392659i | ||||
\(149\) | −11.4457 | + | 9.60412i | −0.937672 | + | 0.786800i | −0.977179 | − | 0.212419i | \(-0.931866\pi\) |
0.0395067 | + | 0.999219i | \(0.487421\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 13.1424 | 1.06951 | 0.534757 | − | 0.845006i | \(-0.320403\pi\) | ||||
0.534757 | + | 0.845006i | \(0.320403\pi\) | |||||||
\(152\) | 7.49772 | − | 8.96017i | 0.608145 | − | 0.726765i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.49257 | + | 19.8074i | 0.281440 | + | 1.59612i | ||||
\(155\) | 4.22716 | + | 4.55363i | 0.339534 | + | 0.365756i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.70654 | − | 10.1836i | 0.295814 | − | 0.812742i | −0.699374 | − | 0.714756i | \(-0.746538\pi\) |
0.995188 | − | 0.0979861i | \(-0.0312401\pi\) | |||||||
\(158\) | 0.664318 | − | 0.791704i | 0.0528503 | − | 0.0629846i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.28612 | + | 1.99026i | 0.101677 | + | 0.157344i | ||||
\(161\) | 0.809073 | − | 4.58848i | 0.0637639 | − | 0.361623i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.31405 | + | 4.22277i | −0.572881 | + | 0.330753i | −0.758299 | − | 0.651907i | \(-0.773969\pi\) |
0.185418 | + | 0.982660i | \(0.440636\pi\) | |||||||
\(164\) | 0.670782 | − | 1.16183i | 0.0523792 | − | 0.0907235i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.768630 | − | 0.279758i | −0.0596573 | − | 0.0217135i | ||||
\(167\) | −6.80663 | − | 18.7011i | −0.526713 | − | 1.44713i | −0.862919 | − | 0.505343i | \(-0.831366\pi\) |
0.336206 | − | 0.941788i | \(-0.390856\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.70468 | + | 9.66772i | 0.131129 | + | 0.743671i | ||||
\(170\) | −1.04895 | − | 20.9178i | −0.0804506 | − | 1.60432i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.85954i | 0.141788i | ||||||||
\(173\) | −11.5430 | + | 2.03534i | −0.877597 | + | 0.154744i | −0.594257 | − | 0.804275i | \(-0.702554\pi\) |
−0.283340 | + | 0.959019i | \(0.591443\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.05730 | − | 14.6368i | −0.533482 | − | 1.10644i | ||||
\(176\) | 17.0656 | + | 6.21138i | 1.28637 | + | 0.468200i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.74755 | − | 5.05040i | −0.655657 | − | 0.378544i | ||||
\(179\) | −3.54189 | − | 6.13473i | −0.264733 | − | 0.458532i | 0.702760 | − | 0.711427i | \(-0.251951\pi\) |
−0.967494 | + | 0.252895i | \(0.918617\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.61176 | − | 9.14076i | 0.119801 | − | 0.679427i | −0.864459 | − | 0.502703i | \(-0.832339\pi\) |
0.984260 | − | 0.176724i | \(-0.0565500\pi\) | |||||||
\(182\) | −7.42750 | + | 4.28827i | −0.550563 | + | 0.317868i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.94371 | − | 2.47007i | −0.217013 | − | 0.182096i | ||||
\(185\) | 5.77989 | + | 1.78135i | 0.424946 | + | 0.130968i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −17.0301 | − | 20.2957i | −1.24536 | − | 1.48417i | ||||
\(188\) | 0.0824448 | − | 0.0145373i | 0.00601291 | − | 0.00106024i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.23058 | − | 14.0505i | −0.234371 | − | 1.01933i | ||||
\(191\) | −8.12426 | −0.587850 | −0.293925 | − | 0.955828i | \(-0.594962\pi\) | ||||
−0.293925 | + | 0.955828i | \(0.594962\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.96452 | − | 5.91649i | −0.357354 | − | 0.425878i | 0.557177 | − | 0.830394i | \(-0.311885\pi\) |
−0.914531 | + | 0.404516i | \(0.867440\pi\) | |||||||
\(194\) | −18.3484 | + | 6.67827i | −1.31734 | + | 0.479472i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.512781 | + | 0.430275i | 0.0366272 | + | 0.0307339i | ||||
\(197\) | 3.08965 | + | 1.78381i | 0.220129 | + | 0.127091i | 0.606010 | − | 0.795457i | \(-0.292769\pi\) |
−0.385881 | + | 0.922548i | \(0.626103\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.52279 | − | 8.63615i | 0.107947 | − | 0.612201i | −0.882055 | − | 0.471147i | \(-0.843840\pi\) |
0.990002 | − | 0.141053i | \(-0.0450489\pi\) | |||||||
\(200\) | −13.3647 | − | 0.995159i | −0.945028 | − | 0.0703684i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 22.1301 | + | 12.7768i | 1.55707 | + | 0.898974i | ||||
\(203\) | −0.708979 | + | 0.844928i | −0.0497606 | + | 0.0593023i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.20351 | + | 14.7067i | 0.433272 | + | 1.02716i | ||||
\(206\) | 15.6693 | − | 13.1481i | 1.09173 | − | 0.916073i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.74414i | 0.536960i | ||||||||
\(209\) | −13.9867 | − | 11.7039i | −0.967483 | − | 0.809574i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.05203 | + | 11.6376i | 0.141267 | + | 0.801167i | 0.970289 | + | 0.241950i | \(0.0777870\pi\) |
−0.829021 | + | 0.559217i | \(0.811102\pi\) | |||||||
\(212\) | 0.874315 | + | 1.04197i | 0.0600482 | + | 0.0715627i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.53767 | + | 1.65158i | 0.310189 | + | 0.112899i | ||||
\(215\) | −17.6391 | − | 13.3545i | −1.20298 | − | 0.910770i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.82043 | − | 4.51513i | 0.530886 | − | 0.306507i | ||||
\(218\) | 4.69193 | + | 0.827314i | 0.317778 | + | 0.0560328i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.47681 | − | 0.954320i | 0.0995662 | − | 0.0643402i | ||||
\(221\) | 5.64880 | − | 9.78401i | 0.379979 | − | 0.658144i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.04316 | + | 8.36101i | −0.203785 | + | 0.559895i | −0.998916 | − | 0.0465426i | \(-0.985180\pi\) |
0.795131 | + | 0.606437i | \(0.207402\pi\) | |||||||
\(224\) | 3.23632 | − | 1.17792i | 0.216236 | − | 0.0787034i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.20980 | − | 6.86114i | −0.0804750 | − | 0.456396i | ||||
\(227\) | 26.4080i | 1.75276i | 0.481620 | + | 0.876380i | \(0.340049\pi\) | ||||
−0.481620 | + | 0.876380i | \(0.659951\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −21.7852 | −1.43961 | −0.719804 | − | 0.694177i | \(-0.755768\pi\) | ||||
−0.719804 | + | 0.694177i | \(0.755768\pi\) | |||||||
\(230\) | −4.62277 | + | 1.05627i | −0.304817 | + | 0.0696486i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.311129 | + | 0.854821i | 0.0204266 | + | 0.0561217i | ||||
\(233\) | 3.42052 | − | 9.39780i | 0.224086 | − | 0.615670i | −0.775797 | − | 0.630982i | \(-0.782652\pi\) |
0.999883 | + | 0.0153122i | \(0.00487421\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.454192 | + | 0.886453i | −0.0296282 | + | 0.0578258i | ||||
\(236\) | 0.295315 | + | 0.511500i | 0.0192234 | + | 0.0332958i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −29.9774 | − | 5.28583i | −1.94315 | − | 0.342630i | ||||
\(239\) | −8.91823 | − | 15.4468i | −0.576872 | − | 0.999172i | −0.995835 | − | 0.0911689i | \(-0.970940\pi\) |
0.418963 | − | 0.908003i | \(-0.362394\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.1332 | − | 11.0201i | −0.845984 | − | 0.709864i | 0.112918 | − | 0.993604i | \(-0.463980\pi\) |
−0.958901 | + | 0.283740i | \(0.908425\pi\) | |||||||
\(242\) | 3.29131 | − | 9.04279i | 0.211573 | − | 0.581293i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.441361 | − | 0.370346i | 0.0282552 | − | 0.0237090i | ||||
\(245\) | −7.76409 | + | 1.77404i | −0.496029 | + | 0.113339i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.64990 | − | 7.31147i | 0.168609 | − | 0.465218i | ||||
\(248\) | − | 7.44772i | − | 0.472931i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −10.9339 | + | 12.4074i | −0.691518 | + | 0.784712i | ||||
\(251\) | 9.11112 | − | 3.31618i | 0.575089 | − | 0.209315i | −0.0380697 | − | 0.999275i | \(-0.512121\pi\) |
0.613159 | + | 0.789960i | \(0.289899\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.85575 | + | 4.59511i | −0.242409 | + | 0.288892i | ||||
\(254\) | 0.437843 | − | 0.758366i | 0.0274727 | − | 0.0475841i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.776555 | − | 4.40406i | 0.0485347 | − | 0.275254i | ||||
\(257\) | 9.89795 | + | 1.74528i | 0.617417 | + | 0.108867i | 0.473605 | − | 0.880738i | \(-0.342953\pi\) |
0.143813 | + | 0.989605i | \(0.454064\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.39517 | − | 7.61265i | 0.273102 | − | 0.473027i | ||||
\(260\) | 0.597782 | + | 0.452579i | 0.0370729 | + | 0.0280677i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.3959 | − | 28.5624i | −0.642259 | − | 1.76459i | ||||
\(263\) | −14.0324 | − | 16.7232i | −0.865276 | − | 1.03120i | −0.999192 | − | 0.0402026i | \(-0.987200\pi\) |
0.133916 | − | 0.990993i | \(-0.457245\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −16.1629 | + | 0.810506i | −0.992877 | + | 0.0497890i | ||||
\(266\) | −20.9537 | + | 0.0285081i | −1.28475 | + | 0.00174794i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.58295 | − | 0.279117i | 0.0966943 | − | 0.0170498i | ||||
\(269\) | 11.8393 | − | 9.93433i | 0.721853 | − | 0.605707i | −0.206044 | − | 0.978543i | \(-0.566059\pi\) |
0.927897 | + | 0.372836i | \(0.121615\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.85182 | − | 1.76592i | −0.294727 | − | 0.107272i | 0.190425 | − | 0.981702i | \(-0.439013\pi\) |
−0.485152 | + | 0.874430i | \(0.661236\pi\) | |||||||
\(272\) | −17.6674 | + | 21.0552i | −1.07124 | + | 1.27666i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.47437 | − | 11.2139i | −0.391131 | − | 0.677459i | ||||
\(275\) | −1.55343 | + | 20.8622i | −0.0936756 | + | 1.25804i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.82402 | + | 2.78515i | −0.289847 | + | 0.167343i | −0.637873 | − | 0.770142i | \(-0.720186\pi\) |
0.348026 | + | 0.937485i | \(0.386852\pi\) | |||||||
\(278\) | 9.85009 | + | 5.68695i | 0.590769 | + | 0.341081i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.73679 | + | 18.6139i | −0.342839 | + | 1.11239i | ||||
\(281\) | 25.6282 | − | 9.32789i | 1.52885 | − | 0.556455i | 0.565509 | − | 0.824742i | \(-0.308680\pi\) |
0.963339 | + | 0.268287i | \(0.0864576\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.8172 | − | 2.61267i | 0.880792 | − | 0.155307i | 0.285078 | − | 0.958504i | \(-0.407980\pi\) |
0.595714 | + | 0.803197i | \(0.296869\pi\) | |||||||
\(284\) | 2.42308 | 0.143784 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.0417 | 0.652910 | ||||||||
\(287\) | 22.8459 | − | 4.02834i | 1.34855 | − | 0.237786i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 21.7045 | − | 7.89981i | 1.27674 | − | 0.464694i | ||||
\(290\) | 1.07275 | + | 0.330620i | 0.0629939 | + | 0.0194147i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.296596 | + | 0.171240i | 0.0173570 | + | 0.0100210i | ||||
\(293\) | 6.77995 | − | 3.91441i | 0.396089 | − | 0.228682i | −0.288706 | − | 0.957418i | \(-0.593225\pi\) |
0.684795 | + | 0.728736i | \(0.259892\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.97281 | − | 0.872124i | −0.405973 | − | 0.0507770i | ||||
\(296\) | −3.62492 | − | 6.27855i | −0.210694 | − | 0.364933i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 14.2061 | − | 16.9302i | 0.822938 | − | 0.980740i | ||||
\(299\) | −2.40361 | − | 0.874843i | −0.139004 | − | 0.0505935i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −24.6322 | + | 20.6689i | −1.41978 | + | 1.19133i | ||||
\(302\) | −19.1445 | + | 3.37569i | −1.10164 | + | 0.194249i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −9.43773 | + | 16.3981i | −0.541291 | + | 0.940496i | ||||
\(305\) | 0.343317 | + | 6.84633i | 0.0196583 | + | 0.392020i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.1011 | + | 12.0381i | 0.576503 | + | 0.687049i | 0.972952 | − | 0.231008i | \(-0.0742022\pi\) |
−0.396449 | + | 0.918057i | \(0.629758\pi\) | |||||||
\(308\) | −0.874039 | − | 2.40140i | −0.0498030 | − | 0.136833i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.32732 | − | 5.54749i | −0.416164 | − | 0.315076i | ||||
\(311\) | 8.99061 | − | 15.5722i | 0.509810 | − | 0.883018i | −0.490125 | − | 0.871652i | \(-0.663049\pi\) |
0.999935 | − | 0.0113654i | \(-0.00361781\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.8784 | + | 3.68143i | 1.18012 | + | 0.208087i | 0.729087 | − | 0.684422i | \(-0.239945\pi\) |
0.451031 | + | 0.892508i | \(0.351056\pi\) | |||||||
\(314\) | −2.78359 | + | 15.7865i | −0.157087 | + | 0.890884i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.0656572 | + | 0.113722i | −0.00369351 | + | 0.00639734i | ||||
\(317\) | −1.96977 | + | 2.34748i | −0.110633 | + | 0.131848i | −0.818519 | − | 0.574479i | \(-0.805205\pi\) |
0.707886 | + | 0.706327i | \(0.249649\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.33437 | − | 0.485670i | 0.0747102 | − | 0.0271923i | ||||
\(320\) | 10.8219 | + | 11.6577i | 0.604963 | + | 0.651685i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.89184i | 0.384067i | ||||||||
\(323\) | 23.8850 | − | 13.8333i | 1.32899 | − | 0.769708i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −8.58611 | + | 2.42016i | −0.476271 | + | 0.134246i | ||||
\(326\) | 9.56972 | − | 8.02995i | 0.530018 | − | 0.444738i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.54382 | − | 17.9790i | 0.361322 | − | 0.992724i | ||||
\(329\) | 1.10895 | + | 0.930518i | 0.0611383 | + | 0.0513011i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.9754 | + | 22.4741i | 0.713195 | + | 1.23529i | 0.963652 | + | 0.267162i | \(0.0860858\pi\) |
−0.250457 | + | 0.968128i | \(0.580581\pi\) | |||||||
\(332\) | 0.102350 | + | 0.0180470i | 0.00561717 | + | 0.000990459i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 14.7187 | + | 25.4935i | 0.805369 | + | 1.39494i | ||||
\(335\) | −8.72056 | + | 17.0200i | −0.476455 | + | 0.929904i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.43986 | + | 9.45093i | −0.187381 | + | 0.514825i | −0.997439 | − | 0.0715252i | \(-0.977213\pi\) |
0.810058 | + | 0.586350i | \(0.199436\pi\) | |||||||
\(338\) | −4.96641 | − | 13.6451i | −0.270137 | − | 0.742195i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.592773 | + | 2.59426i | 0.0321476 | + | 0.140694i | ||||
\(341\) | −11.6258 | −0.629574 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 11.1741i | − | 0.603343i | ||||||
\(344\) | 4.60514 | + | 26.1171i | 0.248293 | + | 1.40814i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 16.2918 | − | 5.92975i | 0.875855 | − | 0.318785i | ||||
\(347\) | 2.33190 | − | 6.40683i | 0.125183 | − | 0.343937i | −0.861232 | − | 0.508213i | \(-0.830306\pi\) |
0.986414 | + | 0.164276i | \(0.0525287\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.7983 | − | 27.3634i | 0.845663 | − | 1.46473i | −0.0393817 | − | 0.999224i | \(-0.512539\pi\) |
0.885044 | − | 0.465507i | \(-0.154128\pi\) | |||||||
\(350\) | 14.0399 | + | 19.5087i | 0.750464 | + | 1.04279i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.36658 | − | 0.769945i | −0.232739 | − | 0.0410382i | ||||
\(353\) | 5.46165 | − | 3.15328i | 0.290694 | − | 0.167832i | −0.347561 | − | 0.937658i | \(-0.612990\pi\) |
0.638255 | + | 0.769825i | \(0.279657\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −17.4017 | + | 22.9848i | −0.923587 | + | 1.21991i | ||||
\(356\) | 1.20600 | + | 0.438946i | 0.0639176 | + | 0.0232641i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.73520 | + | 8.02670i | 0.355966 | + | 0.424224i | ||||
\(359\) | 0.725269 | + | 4.11321i | 0.0382782 | + | 0.217087i | 0.997947 | − | 0.0640469i | \(-0.0204007\pi\) |
−0.959669 | + | 0.281134i | \(0.909290\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.5216 | − | 12.2525i | 0.764293 | − | 0.644870i | ||||
\(362\) | 13.7293i | 0.721596i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.834776 | − | 0.700460i | 0.0437542 | − | 0.0367141i | ||||
\(365\) | −3.75438 | + | 1.58365i | −0.196513 | + | 0.0828923i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.6516 | + | 12.6941i | −0.556010 | + | 0.662627i | −0.968697 | − | 0.248246i | \(-0.920146\pi\) |
0.412687 | + | 0.910873i | \(0.364590\pi\) | |||||||
\(368\) | 5.38924 | + | 3.11148i | 0.280933 | + | 0.162197i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −8.87709 | − | 1.11030i | −0.461498 | − | 0.0577218i | ||||
\(371\) | −4.08428 | + | 23.1631i | −0.212045 | + | 1.20257i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 32.0433 | + | 18.5002i | 1.65914 | + | 0.957905i | 0.973113 | + | 0.230330i | \(0.0739804\pi\) |
0.686028 | + | 0.727576i | \(0.259353\pi\) | |||||||
\(374\) | 30.0207 | + | 25.1904i | 1.55233 | + | 1.30256i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.12193 | − | 0.408350i | 0.0578592 | − | 0.0210590i | ||||
\(377\) | 0.389219 | + | 0.463853i | 0.0200458 | + | 0.0238897i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −31.5147 | −1.61880 | −0.809400 | − | 0.587257i | \(-0.800208\pi\) | ||||
−0.809400 | + | 0.587257i | \(0.800208\pi\) | |||||||
\(380\) | 0.714241 | + | 1.68684i | 0.0366398 | + | 0.0865332i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 11.8346 | − | 2.08676i | 0.605510 | − | 0.106768i | ||||
\(383\) | 1.99144 | + | 2.37331i | 0.101758 | + | 0.121270i | 0.814520 | − | 0.580136i | \(-0.197000\pi\) |
−0.712762 | + | 0.701406i | \(0.752556\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 29.0561 | + | 8.95507i | 1.48084 | + | 0.456393i | ||||
\(386\) | 8.75148 | + | 7.34337i | 0.445439 | + | 0.373768i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.14856 | − | 1.24047i | 0.109076 | − | 0.0629753i | ||||
\(389\) | 4.52037 | − | 25.6363i | 0.229192 | − | 1.29981i | −0.625316 | − | 0.780372i | \(-0.715030\pi\) |
0.854507 | − | 0.519439i | \(-0.173859\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.53920 | − | 7.86213i | −0.229557 | − | 0.397605i | ||||
\(392\) | 8.26756 | + | 4.77328i | 0.417575 | + | 0.241087i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.95887 | − | 1.80488i | −0.249824 | − | 0.0909285i | ||||
\(395\) | −0.607210 | − | 1.43952i | −0.0305520 | − | 0.0724299i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.4684 | − | 2.19851i | 0.625770 | − | 0.110340i | 0.148234 | − | 0.988952i | \(-0.452641\pi\) |
0.477536 | + | 0.878612i | \(0.341530\pi\) | |||||||
\(398\) | 12.9714i | 0.650197i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 21.5939 | − | 2.17116i | 1.07970 | − | 0.108558i | ||||
\(401\) | 1.60135 | + | 9.08170i | 0.0799675 | + | 0.453518i | 0.998330 | + | 0.0577770i | \(0.0184012\pi\) |
−0.918362 | + | 0.395741i | \(0.870488\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.69556 | − | 4.65851i | −0.0844618 | − | 0.232057i | ||||
\(404\) | −3.05100 | − | 1.11047i | −0.151793 | − | 0.0552481i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.815744 | − | 1.41291i | 0.0404847 | − | 0.0701215i | ||||
\(407\) | −9.80076 | + | 5.65847i | −0.485806 | + | 0.280480i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.98343 | + | 33.9337i | −0.295861 | + | 1.67791i | 0.367819 | + | 0.929897i | \(0.380105\pi\) |
−0.663680 | + | 0.748016i | \(0.731007\pi\) | |||||||
\(410\) | −12.8141 | − | 19.8298i | −0.632844 | − | 0.979324i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.67058 | + | 1.99092i | −0.0823036 | + | 0.0980856i | ||||
\(413\) | −3.49311 | + | 9.59724i | −0.171885 | + | 0.472249i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.906228 | + | 0.841258i | −0.0444850 | + | 0.0412957i | ||||
\(416\) | −0.328320 | − | 1.86199i | −0.0160972 | − | 0.0912917i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 23.3806 | + | 13.4564i | 1.14358 | + | 0.658176i | ||||
\(419\) | −7.86047 | −0.384009 | −0.192005 | − | 0.981394i | \(-0.561499\pi\) | ||||
−0.192005 | + | 0.981394i | \(0.561499\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.03752 | − | 6.74428i | 0.391725 | − | 0.328696i | −0.425560 | − | 0.904930i | \(-0.639923\pi\) |
0.817285 | + | 0.576234i | \(0.195478\pi\) | |||||||
\(422\) | −5.97836 | − | 16.4254i | −0.291022 | − | 0.799577i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 14.8601 | + | 12.4691i | 0.721672 | + | 0.605555i | ||||
\(425\) | −28.8656 | − | 13.0082i | −1.40019 | − | 0.630989i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.81153 | + | 1.73004i | 0.474813 | + | 0.0837223i | ||||
\(428\) | −0.604230 | − | 0.106542i | −0.0292066 | − | 0.00514991i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 29.1250 | + | 14.9228i | 1.40453 | + | 0.719640i | ||||
\(431\) | −22.8988 | − | 19.2144i | −1.10300 | − | 0.925525i | −0.105375 | − | 0.994433i | \(-0.533604\pi\) |
−0.997623 | + | 0.0689073i | \(0.978049\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.32566 | − | 6.38969i | −0.111764 | − | 0.307069i | 0.871183 | − | 0.490959i | \(-0.163353\pi\) |
−0.982947 | + | 0.183890i | \(0.941131\pi\) | |||||||
\(434\) | −10.2323 | + | 8.58589i | −0.491165 | + | 0.412136i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.605347 | −0.0289908 | ||||||||
\(437\) | −4.02345 | − | 4.78173i | −0.192468 | − | 0.228741i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.38329 | − | 7.84504i | −0.0660209 | − | 0.374423i | −0.999860 | − | 0.0167300i | \(-0.994674\pi\) |
0.933839 | − | 0.357693i | \(-0.116437\pi\) | |||||||
\(440\) | 18.3783 | − | 17.0607i | 0.876150 | − | 0.813336i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.71552 | + | 15.7033i | −0.271859 | + | 0.746928i | ||||
\(443\) | −14.0059 | + | 16.6916i | −0.665440 | + | 0.793041i | −0.988156 | − | 0.153455i | \(-0.950960\pi\) |
0.322715 | + | 0.946496i | \(0.395404\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.8248 | + | 8.28742i | −0.607952 | + | 0.392862i | ||||
\(446\) | 2.28539 | − | 12.9611i | 0.108217 | − | 0.613726i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 20.0210 | − | 11.5591i | 0.945904 | − | 0.546118i | ||||
\(449\) | −9.39185 | + | 16.2672i | −0.443229 | + | 0.767695i | −0.997927 | − | 0.0643569i | \(-0.979500\pi\) |
0.554698 | + | 0.832052i | \(0.312834\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −28.0651 | − | 10.2148i | −1.32153 | − | 0.480998i | ||||
\(452\) | 0.302761 | + | 0.831830i | 0.0142407 | + | 0.0391260i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.78303 | − | 38.4685i | −0.318343 | − | 1.80541i | ||||
\(455\) | 0.649339 | + | 12.9489i | 0.0304415 | + | 0.607055i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 28.2368i | − | 1.32086i | −0.750887 | − | 0.660431i | \(-0.770373\pi\) | ||
0.750887 | − | 0.660431i | \(-0.229627\pi\) | |||||||
\(458\) | 31.7345 | − | 5.59564i | 1.48285 | − | 0.261467i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.555134 | − | 0.234164i | 0.0258833 | − | 0.0109180i | ||||
\(461\) | −0.184187 | − | 0.0670386i | −0.00857845 | − | 0.00312230i | 0.337727 | − | 0.941244i | \(-0.390342\pi\) |
−0.346306 | + | 0.938122i | \(0.612564\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.0933 | − | 6.98206i | −0.562022 | − | 0.324484i | 0.191935 | − | 0.981408i | \(-0.438524\pi\) |
−0.753957 | + | 0.656924i | \(0.771857\pi\) | |||||||
\(464\) | −0.736571 | − | 1.27578i | −0.0341945 | − | 0.0592266i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.56879 | + | 14.5683i | −0.118997 | + | 0.674865i | ||||
\(467\) | −27.8016 | + | 16.0512i | −1.28650 | + | 0.742763i | −0.978029 | − | 0.208470i | \(-0.933152\pi\) |
−0.308474 | + | 0.951233i | \(0.599818\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 21.2920 | + | 17.8661i | 0.983172 | + | 0.824979i | ||||
\(470\) | 0.433930 | − | 1.40796i | 0.0200157 | − | 0.0649441i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.41441 | + | 6.45264i | 0.249218 | + | 0.297007i | ||||
\(473\) | 40.7685 | − | 7.18859i | 1.87454 | − | 0.330532i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −21.1304 | − | 5.33917i | −0.969529 | − | 0.244978i | ||||
\(476\) | 3.86765 | 0.177273 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 16.9588 | + | 20.2107i | 0.775675 | + | 0.924414i | ||||
\(479\) | 1.86271 | − | 0.677972i | 0.0851095 | − | 0.0309773i | −0.299114 | − | 0.954217i | \(-0.596691\pi\) |
0.384224 | + | 0.923240i | \(0.374469\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.69675 | − | 3.10194i | −0.168557 | − | 0.141436i | ||||
\(482\) | 21.9616 | + | 12.6796i | 1.00033 | + | 0.577538i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.212320 | + | 1.20413i | −0.00965091 | + | 0.0547330i | ||||
\(485\) | −3.66335 | + | 29.2893i | −0.166344 | + | 1.32996i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.43843 | + | 4.29458i | 0.337068 | + | 0.194606i | 0.658975 | − | 0.752165i | \(-0.270990\pi\) |
−0.321907 | + | 0.946771i | \(0.604324\pi\) | |||||||
\(488\) | 5.28173 | − | 6.29452i | 0.239093 | − | 0.284939i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 10.8543 | − | 4.57849i | 0.490345 | − | 0.206835i | ||||
\(491\) | −19.8407 | + | 16.6483i | −0.895398 | + | 0.751328i | −0.969285 | − | 0.245938i | \(-0.920904\pi\) |
0.0738874 | + | 0.997267i | \(0.476459\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.14910i | 0.0967908i | ||||||||
\(494\) | −1.98211 | + | 11.3312i | −0.0891794 | + | 0.509817i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.09435 | + | 11.8777i | 0.0940391 | + | 0.533322i | ||||
\(497\) | 26.9328 | + | 32.0972i | 1.20810 | + | 1.43976i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.9251 | − | 7.25214i | −0.891970 | − | 0.324650i | −0.144939 | − | 0.989441i | \(-0.546299\pi\) |
−0.747030 | + | 0.664790i | \(0.768521\pi\) | |||||||
\(500\) | 1.09438 | − | 1.79375i | 0.0489424 | − | 0.0802191i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −12.4204 | + | 7.17090i | −0.554348 | + | 0.320053i | ||||
\(503\) | −25.1285 | − | 4.43084i | −1.12043 | − | 0.197561i | −0.417398 | − | 0.908724i | \(-0.637058\pi\) |
−0.703028 | + | 0.711162i | \(0.748169\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 32.4449 | − | 20.9660i | 1.44378 | − | 0.932976i | ||||
\(506\) | 4.43639 | − | 7.68405i | 0.197221 | − | 0.341597i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.0380543 | + | 0.104553i | −0.00168839 | + | 0.00463880i | ||||
\(509\) | 16.0130 | − | 5.82825i | 0.709763 | − | 0.258333i | 0.0381894 | − | 0.999271i | \(-0.487841\pi\) |
0.671574 | + | 0.740938i | \(0.265619\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.02837 | + | 5.83218i | 0.0454924 | + | 0.258000i | ||||
\(512\) | − | 18.6685i | − | 0.825039i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −14.8666 | −0.655738 | ||||||||
\(515\) | −6.88789 | − | 30.1448i | −0.303517 | − | 1.32834i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.637430 | − | 1.75133i | −0.0280342 | − | 0.0770232i | ||||
\(518\) | −4.44708 | + | 12.2183i | −0.195393 | + | 0.536839i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 9.51663 | + | 4.87603i | 0.417332 | + | 0.213828i | ||||
\(521\) | 10.8909 | + | 18.8635i | 0.477137 | + | 0.826426i | 0.999657 | − | 0.0262016i | \(-0.00834118\pi\) |
−0.522520 | + | 0.852627i | \(0.675008\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17.2199 | − | 3.03633i | −0.752973 | − | 0.132769i | −0.216028 | − | 0.976387i | \(-0.569310\pi\) |
−0.536944 | + | 0.843618i | \(0.680422\pi\) | |||||||
\(524\) | 1.93100 | + | 3.34460i | 0.0843563 | + | 0.146109i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 24.7364 | + | 20.7563i | 1.07856 | + | 0.905018i | ||||
\(527\) | 6.01788 | − | 16.5340i | 0.262143 | − | 0.720232i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.0445 | − | 13.4629i | 0.697586 | − | 0.585344i | ||||
\(530\) | 23.3362 | − | 5.33218i | 1.01366 | − | 0.231615i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.62127 | − | 0.465879i | 0.113647 | − | 0.0201984i | ||||
\(533\) | − | 12.7355i | − | 0.551637i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.34999 | − | 4.96644i | 0.231300 | − | 0.214718i | ||||
\(536\) | 21.5413 | − | 7.84038i | 0.930441 | − | 0.338653i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −14.6945 | + | 17.5123i | −0.633527 | + | 0.755008i | ||||
\(539\) | 7.45104 | − | 12.9056i | 0.320939 | − | 0.555883i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.57157 | − | 14.5841i | 0.110560 | − | 0.627018i | −0.878293 | − | 0.478123i | \(-0.841317\pi\) |
0.988853 | − | 0.148895i | \(-0.0475717\pi\) | |||||||
\(542\) | 7.52121 | + | 1.32619i | 0.323064 | + | 0.0569648i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.35527 | − | 5.81150i | 0.143856 | − | 0.249166i | ||||
\(545\) | 4.34738 | − | 5.74217i | 0.186221 | − | 0.245968i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.08867 | − | 24.9709i | −0.388603 | − | 1.06768i | −0.967631 | − | 0.252371i | \(-0.918790\pi\) |
0.579027 | − | 0.815308i | \(-0.303433\pi\) | |||||||
\(548\) | 1.05754 | + | 1.26033i | 0.0451761 | + | 0.0538388i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.09568 | − | 30.7889i | −0.132000 | − | 1.31284i | ||||
\(551\) | 0.258871 | + | 1.45654i | 0.0110283 | + | 0.0620507i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.23619 | + | 0.394301i | −0.0950926 | + | 0.0167674i | ||||
\(554\) | 6.31176 | − | 5.29619i | 0.268161 | − | 0.225014i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.35800 | − | 0.494271i | −0.0575919 | − | 0.0209618i | ||||
\(557\) | 10.3330 | − | 12.3143i | 0.437821 | − | 0.521775i | −0.501340 | − | 0.865250i | \(-0.667160\pi\) |
0.939162 | + | 0.343475i | \(0.111604\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.82633 | + | 15.2877i | 0.373314 | + | 0.646599i | ||||
\(560\) | 3.91469 | − | 31.2987i | 0.165426 | − | 1.32261i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −34.9365 | + | 20.1706i | −1.47371 | + | 0.850847i | ||||
\(563\) | −1.75929 | − | 1.01573i | −0.0741452 | − | 0.0428078i | 0.462469 | − | 0.886635i | \(-0.346964\pi\) |
−0.536614 | + | 0.843828i | \(0.680297\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.0649 | − | 3.10198i | −0.423432 | − | 0.130501i | ||||
\(566\) | −20.9131 | + | 7.61175i | −0.879044 | + | 0.319946i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 34.0321 | − | 6.00077i | 1.42795 | − | 0.251787i | ||||
\(569\) | −12.8224 | −0.537543 | −0.268772 | − | 0.963204i | \(-0.586618\pi\) | ||||
−0.268772 | + | 0.963204i | \(0.586618\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.9168 | 0.540551 | 0.270276 | − | 0.962783i | \(-0.412885\pi\) | ||||
0.270276 | + | 0.962783i | \(0.412885\pi\) | |||||||
\(572\) | −1.38163 | + | 0.243618i | −0.0577688 | + | 0.0101862i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −32.2448 | + | 11.7362i | −1.34587 | + | 0.489858i | ||||
\(575\) | −1.76555 | + | 6.94755i | −0.0736285 | + | 0.289733i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.02658 | − | 4.05680i | −0.292520 | − | 0.168887i | 0.346558 | − | 0.938029i | \(-0.387351\pi\) |
−0.639078 | + | 0.769142i | \(0.720684\pi\) | |||||||
\(578\) | −29.5878 | + | 17.0825i | −1.23069 | + | 0.710540i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.141526 | − | 0.0177013i | −0.00587653 | − | 0.000735007i | ||||
\(581\) | 0.898567 | + | 1.55636i | 0.0372788 | + | 0.0645689i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 19.4642 | − | 23.1966i | 0.806126 | − | 0.960703i | ||||
\(584\) | 4.58975 | + | 1.67053i | 0.189925 | + | 0.0691271i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.87090 | + | 7.44357i | −0.366454 | + | 0.307491i | ||||
\(587\) | −32.0670 | + | 5.65427i | −1.32355 | + | 0.233377i | −0.790371 | − | 0.612629i | \(-0.790112\pi\) |
−0.533174 | + | 0.846005i | \(0.679001\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.08697 | − | 11.9307i | 0.0859921 | − | 0.491595i | ||||
\(590\) | 10.3813 | − | 0.520581i | 0.427391 | − | 0.0214320i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.54661 | + | 8.99370i | 0.310164 | + | 0.369639i | ||||
\(593\) | 3.92476 | + | 10.7832i | 0.161171 | + | 0.442812i | 0.993822 | − | 0.110985i | \(-0.0354005\pi\) |
−0.832652 | + | 0.553797i | \(0.813178\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −27.7760 | + | 36.6876i | −1.13871 | + | 1.50404i | ||||
\(596\) | −1.40405 | + | 2.43188i | −0.0575120 | + | 0.0996138i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.72604 | + | 0.657002i | 0.152369 | + | 0.0268668i | ||||
\(599\) | 5.76684 | − | 32.7054i | 0.235627 | − | 1.33631i | −0.605663 | − | 0.795721i | \(-0.707092\pi\) |
0.841290 | − | 0.540584i | \(-0.181797\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.6590 | + | 23.6581i | −0.557163 | + | 0.965034i | 0.440569 | + | 0.897719i | \(0.354777\pi\) |
−0.997732 | + | 0.0673154i | \(0.978557\pi\) | |||||||
\(602\) | 30.5728 | − | 36.4352i | 1.24605 | − | 1.48499i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.32104 | − | 0.844789i | 0.0944417 | − | 0.0343740i | ||||
\(605\) | −9.89725 | − | 10.6616i | −0.402380 | − | 0.433456i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 25.7405i | 1.04478i | 0.852708 | + | 0.522388i | \(0.174959\pi\) | ||||
−0.852708 | + | 0.522388i | \(0.825041\pi\) | |||||||
\(608\) | 1.57399 | − | 4.34286i | 0.0638335 | − | 0.176126i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.25862 | − | 9.88485i | −0.0914490 | − | 0.400226i | ||||
\(611\) | 0.608796 | − | 0.510841i | 0.0246293 | − | 0.0206664i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.8873 | + | 38.1551i | −0.560904 | + | 1.54107i | 0.257411 | + | 0.966302i | \(0.417131\pi\) |
−0.818315 | + | 0.574770i | \(0.805092\pi\) | |||||||
\(614\) | −17.8063 | − | 14.9413i | −0.718606 | − | 0.602982i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −18.2229 | − | 31.5630i | −0.734222 | − | 1.27171i | ||||
\(617\) | −13.9954 | − | 2.46776i | −0.563433 | − | 0.0993485i | −0.115325 | − | 0.993328i | \(-0.536791\pi\) |
−0.448108 | + | 0.893979i | \(0.647902\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.7818 | − | 25.6028i | −0.594129 | − | 1.02906i | −0.993669 | − | 0.112346i | \(-0.964164\pi\) |
0.399540 | − | 0.916716i | \(-0.369170\pi\) | |||||||
\(620\) | 1.03925 | + | 0.532481i | 0.0417373 | + | 0.0213850i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.09680 | + | 24.9932i | −0.364748 | + | 1.00214i | ||||
\(623\) | 7.59026 | + | 20.8541i | 0.304097 | + | 0.835500i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.15564 | + | 23.2632i | 0.366226 | + | 0.930526i | ||||
\(626\) | −31.3591 | −1.25336 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 2.03675i | − | 0.0812753i | ||||||
\(629\) | −2.97418 | − | 16.8674i | −0.118588 | − | 0.672548i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.60465 | − | 0.584045i | 0.0638801 | − | 0.0232505i | −0.309882 | − | 0.950775i | \(-0.600290\pi\) |
0.373763 | + | 0.927524i | \(0.378067\pi\) | |||||||
\(632\) | −0.640520 | + | 1.75981i | −0.0254785 | + | 0.0700017i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.26640 | − | 3.92552i | 0.0900102 | − | 0.155902i | ||||
\(635\) | −0.718475 | − | 1.11184i | −0.0285118 | − | 0.0441219i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.25800 | + | 1.10345i | 0.247951 | + | 0.0437204i | ||||
\(638\) | −1.81902 | + | 1.05021i | −0.0720158 | + | 0.0415783i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −22.5371 | − | 17.0628i | −0.890858 | − | 0.674465i | ||||
\(641\) | 2.59543 | + | 0.944659i | 0.102513 | + | 0.0373118i | 0.392768 | − | 0.919638i | \(-0.371518\pi\) |
−0.290254 | + | 0.956950i | \(0.593740\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.9466 | − | 16.6209i | −0.550000 | − | 0.655465i | 0.417398 | − | 0.908724i | \(-0.362942\pi\) |
−0.967398 | + | 0.253259i | \(0.918497\pi\) | |||||||
\(644\) | −0.152058 | − | 0.862364i | −0.00599193 | − | 0.0339819i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −31.2400 | + | 26.2860i | −1.22912 | + | 1.03421i | ||||
\(647\) | 28.0268i | 1.10185i | 0.834556 | + | 0.550923i | \(0.185724\pi\) | ||||
−0.834556 | + | 0.550923i | \(0.814276\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.0725 | − | 8.45185i | 0.395381 | − | 0.331764i | ||||
\(650\) | 11.8857 | − | 5.73082i | 0.466196 | − | 0.224781i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.02027 | + | 1.21591i | −0.0399570 | + | 0.0476189i | ||||
\(653\) | −6.57580 | − | 3.79654i | −0.257331 | − | 0.148570i | 0.365785 | − | 0.930699i | \(-0.380800\pi\) |
−0.623116 | + | 0.782129i | \(0.714134\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −45.5938 | − | 5.70264i | −1.78150 | − | 0.222821i | ||||
\(656\) | −5.38029 | + | 30.5131i | −0.210065 | + | 1.19134i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.85441 | − | 1.07064i | −0.0722924 | − | 0.0417380i | ||||
\(659\) | 5.50322 | + | 4.61775i | 0.214375 | + | 0.179882i | 0.743652 | − | 0.668567i | \(-0.233092\pi\) |
−0.529277 | + | 0.848449i | \(0.677537\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 27.1268 | − | 9.87335i | 1.05511 | − | 0.384029i | 0.244521 | − | 0.969644i | \(-0.421369\pi\) |
0.810589 | + | 0.585615i | \(0.199147\pi\) | |||||||
\(662\) | −24.6739 | − | 29.4052i | −0.958978 | − | 1.14287i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.48219 | 0.0575201 | ||||||||
\(665\) | −14.4058 | + | 28.2105i | −0.558633 | + | 1.09396i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.479183 | − | 0.0844929i | 0.0185540 | − | 0.00327158i | ||||
\(668\) | −2.40419 | − | 2.86521i | −0.0930210 | − | 0.110858i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 8.33153 | − | 27.0330i | 0.321875 | − | 1.04437i | ||||
\(671\) | −9.82569 | − | 8.24473i | −0.379316 | − | 0.318284i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 20.1949 | − | 11.6595i | 0.778457 | − | 0.449442i | −0.0574263 | − | 0.998350i | \(-0.518289\pi\) |
0.835883 | + | 0.548907i | \(0.184956\pi\) | |||||||
\(674\) | 2.58331 | − | 14.6507i | 0.0995054 | − | 0.564323i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.922496 | + | 1.59781i | 0.0354806 | + | 0.0614542i | ||||
\(677\) | 15.1640 | + | 8.75493i | 0.582799 | + | 0.336479i | 0.762245 | − | 0.647289i | \(-0.224097\pi\) |
−0.179446 | + | 0.983768i | \(0.557430\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 40.3132 | + | 14.6728i | 1.54708 | + | 0.563090i | ||||
\(680\) | 14.7502 | + | 34.9683i | 0.565643 | + | 1.34097i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 16.9353 | − | 2.98615i | 0.648487 | − | 0.114346i | ||||
\(683\) | − | 22.0114i | − | 0.842243i | −0.907004 | − | 0.421122i | \(-0.861637\pi\) | ||
0.907004 | − | 0.421122i | \(-0.138363\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −19.5501 | + | 0.980363i | −0.746971 | + | 0.0374577i | ||||
\(686\) | 2.87012 | + | 16.2772i | 0.109582 | + | 0.621468i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.6886 | − | 40.3566i | −0.559997 | − | 1.53858i | ||||
\(689\) | 12.1337 | + | 4.41629i | 0.462256 | + | 0.168247i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.32811 | − | 2.30036i | 0.0505238 | − | 0.0875098i | −0.839657 | − | 0.543116i | \(-0.817244\pi\) |
0.890181 | + | 0.455607i | \(0.150578\pi\) | |||||||
\(692\) | −1.90774 | + | 1.10143i | −0.0725214 | + | 0.0418702i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.75124 | + | 9.93178i | −0.0664762 | + | 0.377005i | ||||
\(695\) | 14.4412 | − | 9.33197i | 0.547785 | − | 0.353982i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 29.0546 | − | 34.6260i | 1.10052 | − | 1.31155i | ||||
\(698\) | −15.9849 | + | 43.9181i | −0.605037 | + | 1.66232i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.18722 | − | 2.13132i | −0.0826690 | − | 0.0805565i | ||||
\(701\) | 1.27931 | + | 7.25535i | 0.0483190 | + | 0.274031i | 0.999389 | − | 0.0349439i | \(-0.0111253\pi\) |
−0.951070 | + | 0.308975i | \(0.900014\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.04750 | − | 11.0735i | −0.152654 | − | 0.417646i | ||||
\(704\) | −29.7632 | −1.12174 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.14603 | + | 5.99623i | −0.268944 | + | 0.225671i | ||||
\(707\) | −19.2023 | − | 52.7579i | −0.722177 | − | 1.98416i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.58997 | + | 3.85144i | 0.172380 | + | 0.144644i | 0.724896 | − | 0.688858i | \(-0.241888\pi\) |
−0.552516 | + | 0.833502i | \(0.686332\pi\) | |||||||
\(710\) | 19.4453 | − | 37.9516i | 0.729768 | − | 1.42430i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 18.0252 | + | 3.17833i | 0.675522 | + | 0.119113i | ||||
\(713\) | −3.92316 | − | 0.691759i | −0.146923 | − | 0.0259066i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.61145 | − | 14.8554i | 0.284652 | − | 0.555559i | ||||
\(716\) | −1.01986 | − | 0.855765i | −0.0381140 | − | 0.0319814i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.11300 | − | 5.80541i | −0.0788563 | − | 0.216656i | ||||
\(719\) | 10.4040 | − | 8.73002i | 0.388005 | − | 0.325575i | −0.427831 | − | 0.903859i | \(-0.640722\pi\) |
0.815835 | + | 0.578284i | \(0.196278\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −44.9412 | −1.67370 | ||||||||
\(722\) | −18.0064 | + | 21.5782i | −0.670128 | + | 0.803056i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.302916 | − | 1.71792i | −0.0112578 | − | 0.0638461i | ||||
\(725\) | 1.18430 | − | 1.21535i | 0.0439836 | − | 0.0451371i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.1065 | + | 38.7574i | −0.523183 | + | 1.43743i | 0.343776 | + | 0.939052i | \(0.388294\pi\) |
−0.866958 | + | 0.498381i | \(0.833928\pi\) | |||||||
\(728\) | 9.98969 | − | 11.9052i | 0.370242 | − | 0.441238i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.06223 | − | 3.27124i | 0.187361 | − | 0.121074i | ||||
\(731\) | −10.8796 | + | 61.7011i | −0.402395 | + | 2.28210i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.107256 | − | 0.0619240i | 0.00396158 | − | 0.00228722i | −0.498018 | − | 0.867167i | \(-0.665939\pi\) |
0.501979 | + | 0.864880i | \(0.332605\pi\) | |||||||
\(734\) | 12.2556 | − | 21.2274i | 0.452364 | − | 0.783517i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.42770 | − | 0.519639i | −0.0526256 | − | 0.0191541i | ||||
\(737\) | −12.2388 | − | 33.6257i | −0.450821 | − | 1.23862i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.34049 | + | 35.9587i | 0.233239 | + | 1.32276i | 0.846291 | + | 0.532720i | \(0.178830\pi\) |
−0.613053 | + | 0.790042i | \(0.710059\pi\) | |||||||
\(740\) | 1.13527 | − | 0.0569295i | 0.0417334 | − | 0.00209277i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 34.7907i | − | 1.27721i | ||||||
\(743\) | −8.92430 | + | 1.57359i | −0.327401 | + | 0.0577296i | −0.334933 | − | 0.942242i | \(-0.608714\pi\) |
0.00753195 | + | 0.999972i | \(0.497602\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.9849 | − | 30.7833i | −0.475729 | − | 1.12781i | ||||
\(746\) | −51.4293 | − | 18.7187i | −1.88296 | − | 0.685341i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4.31223 | − | 2.48967i | −0.157671 | − | 0.0910312i | ||||
\(749\) | −5.30476 | − | 9.18812i | −0.193832 | − | 0.335727i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.709544 | + | 4.02402i | −0.0258916 | + | 0.146839i | −0.995013 | − | 0.0997456i | \(-0.968197\pi\) |
0.969121 | + | 0.246584i | \(0.0793082\pi\) | |||||||
\(752\) | −1.67443 | + | 0.966732i | −0.0610602 | + | 0.0352531i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.686117 | − | 0.575721i | −0.0249869 | − | 0.0209665i | ||||
\(755\) | −8.65539 | + | 28.0838i | −0.315002 | + | 1.02207i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.1503 | − | 26.3977i | −0.805066 | − | 0.959441i | 0.194704 | − | 0.980862i | \(-0.437625\pi\) |
−0.999771 | + | 0.0214214i | \(0.993181\pi\) | |||||||
\(758\) | 45.9073 | − | 8.09470i | 1.66743 | − | 0.294013i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 14.2089 | + | 21.9228i | 0.515412 | + | 0.795223i | ||||
\(761\) | −20.5813 | −0.746072 | −0.373036 | − | 0.927817i | \(-0.621683\pi\) | ||||
−0.373036 | + | 0.927817i | \(0.621683\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.72848 | − | 8.01868i | −0.243587 | − | 0.290296i | ||||
\(764\) | −1.43480 | + | 0.522224i | −0.0519092 | + | 0.0188934i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.51052 | − | 2.94568i | −0.126840 | − | 0.106432i | ||||
\(767\) | 4.85570 | + | 2.80344i | 0.175329 | + | 0.101226i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.27109 | − | 29.8939i | 0.190081 | − | 1.07800i | −0.729172 | − | 0.684331i | \(-0.760094\pi\) |
0.919252 | − | 0.393669i | \(-0.128794\pi\) | |||||||
\(770\) | −44.6262 | − | 5.58161i | −1.60822 | − | 0.201147i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.25708 | − | 0.725774i | −0.0452432 | − | 0.0261212i | ||||
\(773\) | −12.5488 | + | 14.9551i | −0.451350 | + | 0.537898i | −0.942955 | − | 0.332921i | \(-0.891966\pi\) |
0.491605 | + | 0.870818i | \(0.336410\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.5145 | + | 6.03400i | −0.449534 | + | 0.216748i | ||||
\(776\) | 27.1043 | − | 22.7432i | 0.972988 | − | 0.816434i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 38.5054i | 1.38048i | ||||||||
\(779\) | 15.5207 | − | 26.9673i | 0.556087 | − | 0.966204i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.36716 | − | 53.1238i | −0.335183 | − | 1.90092i | ||||
\(782\) | 8.63167 | + | 10.2868i | 0.308668 | + | 0.367856i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −14.5274 | − | 5.28754i | −0.518836 | − | 0.188841i | ||||
\(785\) | 19.3201 | + | 14.6272i | 0.689566 | + | 0.522068i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −30.5046 | + | 17.6118i | −1.08737 | + | 0.627793i | −0.932875 | − | 0.360200i | \(-0.882708\pi\) |
−0.154495 | + | 0.987994i | \(0.549375\pi\) | |||||||
\(788\) | 0.660316 | + | 0.116432i | 0.0235228 | + | 0.00414770i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.25427 | + | 1.94097i | 0.0446248 | + | 0.0690568i | ||||
\(791\) | −7.65357 | + | 13.2564i | −0.272129 | + | 0.471342i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.87067 | − | 5.13963i | 0.0664295 | − | 0.182514i | ||||
\(794\) | −17.5979 | + | 6.40513i | −0.624528 | + | 0.227309i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.286194 | − | 1.62309i | −0.0101439 | − | 0.0575288i | ||||
\(797\) | − | 28.7940i | − | 1.01994i | −0.860193 | − | 0.509969i | \(-0.829657\pi\) | ||
0.860193 | − | 0.509969i | \(-0.170343\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.82065 | 0.0997874 | ||||||||
\(800\) | −5.09997 | + | 1.43753i | −0.180311 | + | 0.0508242i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.66536 | − | 12.8180i | −0.164740 | − | 0.452618i | ||||
\(803\) | 2.60768 | − | 7.16455i | 0.0920232 | − | 0.252832i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 9.27220 | + | 4.75080i | 0.326802 | + | 0.167444i | ||||
\(806\) | 3.66648 | + | 6.35052i | 0.129146 | + | 0.223688i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −45.6012 | − | 8.04072i | −1.60425 | − | 0.282872i | ||||
\(809\) | 24.0034 | + | 41.5751i | 0.843915 | + | 1.46170i | 0.886560 | + | 0.462613i | \(0.153088\pi\) |
−0.0426458 | + | 0.999090i | \(0.513579\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.37613 | − | 6.18931i | −0.259011 | − | 0.217336i | 0.504030 | − | 0.863686i | \(-0.331850\pi\) |
−0.763041 | + | 0.646350i | \(0.776295\pi\) | |||||||
\(812\) | −0.0708988 | + | 0.194793i | −0.00248806 | + | 0.00683589i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.8233 | − | 10.7601i | 0.449458 | − | 0.377140i | ||||
\(815\) | −4.20664 | − | 18.4103i | −0.147352 | − | 0.644885i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.0586768 | + | 43.1280i | 0.00205284 | + | 1.50886i | ||||
\(818\) | − | 50.9680i | − | 1.78205i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.04092 | + | 2.19854i | 0.0712721 | + | 0.0767765i | ||||
\(821\) | −24.1743 | + | 8.79872i | −0.843688 | + | 0.307077i | −0.727464 | − | 0.686146i | \(-0.759301\pi\) |
−0.116224 | + | 0.993223i | \(0.537079\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.65091 | + | 10.3098i | −0.301552 | + | 0.359376i | −0.895448 | − | 0.445166i | \(-0.853145\pi\) |
0.593896 | + | 0.804542i | \(0.297589\pi\) | |||||||
\(824\) | −18.5327 | + | 32.0996i | −0.645617 | + | 1.11824i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.62330 | − | 14.8775i | 0.0912764 | − | 0.517654i | ||||
\(827\) | −0.169788 | − | 0.0299383i | −0.00590412 | − | 0.00104106i | 0.170695 | − | 0.985324i | \(-0.445399\pi\) |
−0.176599 | + | 0.984283i | \(0.556510\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.1895 | + | 36.7014i | −0.735943 | + | 1.27469i | 0.218365 | + | 0.975867i | \(0.429928\pi\) |
−0.954308 | + | 0.298824i | \(0.903406\pi\) | |||||||
\(830\) | 1.10402 | − | 1.45823i | 0.0383211 | − | 0.0506158i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.34078 | − | 11.9262i | −0.150490 | − | 0.413467i | ||||
\(833\) | 14.4971 | + | 17.2770i | 0.502296 | + | 0.598614i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 44.4447 | − | 2.22873i | 1.53807 | − | 0.0771284i | ||||
\(836\) | −3.22247 | − | 1.16792i | −0.111452 | − | 0.0403934i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.4503 | − | 2.01900i | 0.395545 | − | 0.0697452i | ||||
\(839\) | 34.5791 | − | 29.0153i | 1.19380 | − | 1.00172i | 0.194019 | − | 0.980998i | \(-0.437848\pi\) |
0.999785 | − | 0.0207231i | \(-0.00659684\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.1428 | + | 9.87919i | 0.935960 | + | 0.340662i | ||||
\(842\) | −9.97593 | + | 11.8888i | −0.343793 | + | 0.409717i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.11046 | + | 1.92338i | 0.0382237 | + | 0.0662055i | ||||
\(845\) | −21.7815 | − | 2.72431i | −0.749305 | − | 0.0937193i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −18.3103 | + | 10.5715i | −0.629151 | + | 0.363240i | ||||
\(848\) | −27.2054 | − | 15.7070i | −0.934238 | − | 0.539382i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 45.3897 | + | 11.5347i | 1.55685 | + | 0.395636i | ||||
\(851\) | −3.64397 | + | 1.32630i | −0.124914 | + | 0.0454649i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −45.6364 | + | 8.04694i | −1.56256 | + | 0.275522i | −0.886996 | − | 0.461778i | \(-0.847212\pi\) |
−0.675566 | + | 0.737299i | \(0.736101\pi\) | |||||||
\(854\) | −14.7368 | −0.504283 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.75023 | −0.299077 | ||||||||
\(857\) | 21.5607 | − | 3.80174i | 0.736501 | − | 0.129865i | 0.207199 | − | 0.978299i | \(-0.433565\pi\) |
0.529302 | + | 0.848434i | \(0.322454\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 31.3876 | − | 11.4242i | 1.07093 | − | 0.389787i | 0.254406 | − | 0.967097i | \(-0.418120\pi\) |
0.816525 | + | 0.577310i | \(0.195898\pi\) | |||||||
\(860\) | −3.97361 | − | 1.22466i | −0.135499 | − | 0.0417606i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 38.2920 | + | 22.1079i | 1.30423 | + | 0.752998i | ||||
\(863\) | −23.4913 | + | 13.5627i | −0.799653 | + | 0.461680i | −0.843350 | − | 0.537365i | \(-0.819420\pi\) |
0.0436971 | + | 0.999045i | \(0.486086\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.25275 | − | 26.0064i | 0.110597 | − | 0.884246i | ||||
\(866\) | 5.02900 | + | 8.71049i | 0.170892 | + | 0.295994i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.09091 | − | 1.30010i | 0.0370279 | − | 0.0441282i | ||||
\(869\) | 2.74705 | + | 0.999846i | 0.0931875 | + | 0.0339175i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.6890 | − | 9.80822i | 0.396066 | − | 0.332339i | ||||
\(872\) | −8.50206 | + | 1.49914i | −0.287916 | + | 0.0507674i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 7.08916 | + | 5.93209i | 0.239794 | + | 0.200656i | ||||
\(875\) | 35.9250 | − | 5.44102i | 1.21449 | − | 0.183940i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −31.5495 | − | 37.5992i | −1.06535 | − | 1.26963i | −0.961430 | − | 0.275049i | \(-0.911306\pi\) |
−0.103920 | − | 0.994586i | \(-0.533139\pi\) | |||||||
\(878\) | 4.03008 | + | 11.0725i | 0.136008 | + | 0.373680i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −24.5122 | + | 32.3765i | −0.826304 | + | 1.09141i | ||||
\(881\) | 18.9889 | − | 32.8898i | 0.639753 | − | 1.10808i | −0.345734 | − | 0.938332i | \(-0.612370\pi\) |
0.985487 | − | 0.169751i | \(-0.0542965\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −32.7055 | − | 5.76686i | −1.10063 | − | 0.194070i | −0.406307 | − | 0.913737i | \(-0.633184\pi\) |
−0.694320 | + | 0.719666i | \(0.744295\pi\) | |||||||
\(884\) | 0.368704 | − | 2.09103i | 0.0124009 | − | 0.0703288i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 16.1150 | − | 27.9121i | 0.541395 | − | 0.937724i | ||||
\(887\) | 16.8748 | − | 20.1106i | 0.566601 | − | 0.675248i | −0.404329 | − | 0.914614i | \(-0.632495\pi\) |
0.970930 | + | 0.239365i | \(0.0769393\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.80794 | + | 0.658035i | −0.0606362 | + | 0.0220698i | ||||
\(890\) | 16.5531 | − | 15.3664i | 0.554862 | − | 0.515082i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.67222i | 0.0559902i | ||||||||
\(893\) | 1.91167 | − | 0.339762i | 0.0639718 | − | 0.0113697i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 15.4418 | − | 3.52836i | 0.516164 | − | 0.117940i | ||||
\(896\) | −31.4721 | + | 26.4082i | −1.05141 | + | 0.882236i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.50278 | − | 26.1087i | 0.317112 | − | 0.871258i | ||||
\(899\) | 0.722415 | + | 0.606178i | 0.0240939 | + | 0.0202172i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 22.9143 | + | 39.6888i | 0.763387 | + | 1.32223i | ||||
\(902\) | 43.5060 | + | 7.67129i | 1.44859 | + | 0.255426i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.31229 | + | 10.9332i | 0.209944 | + | 0.363633i | ||||
\(905\) | 18.4712 | + | 9.46411i | 0.614005 | + | 0.314598i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.71140 | − | 7.44950i | 0.0900305 | − | 0.247357i | −0.886503 | − | 0.462723i | \(-0.846872\pi\) |
0.976533 | + | 0.215366i | \(0.0690946\pi\) | |||||||
\(908\) | 1.69750 | + | 4.66383i | 0.0563334 | + | 0.154775i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.27189 | − | 18.6959i | −0.141612 | − | 0.619763i | ||||
\(911\) | 0.619746 | 0.0205331 | 0.0102665 | − | 0.999947i | \(-0.496732\pi\) | ||||
0.0102665 | + | 0.999947i | \(0.496732\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 2.31369i | − | 0.0765718i | ||||||
\(914\) | 7.25277 | + | 41.1325i | 0.239900 | + | 1.36054i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.84742 | + | 1.40035i | −0.127122 | + | 0.0462687i | ||||
\(917\) | −22.8407 | + | 62.7544i | −0.754268 | + | 2.07233i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −17.5287 | + | 30.3606i | −0.578219 | + | 1.00150i | 0.417465 | + | 0.908693i | \(0.362919\pi\) |
−0.995684 | + | 0.0928113i | \(0.970415\pi\) | |||||||
\(920\) | 7.21692 | − | 4.66361i | 0.237935 | − | 0.153755i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.285524 | + | 0.0503456i | 0.00940324 | + | 0.00165804i | ||||
\(923\) | 19.9207 | − | 11.5012i | 0.655699 | − | 0.378568i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.61309 | + | 11.1778i | −0.250317 | + | 0.367523i | ||||
\(926\) | 19.4096 | + | 7.06452i | 0.637840 | + | 0.232155i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.231188 | + | 0.275519i | 0.00758912 | + | 0.00904437i | ||||
\(929\) | 2.09132 | + | 11.8605i | 0.0686140 | + | 0.389129i | 0.999704 | + | 0.0243392i | \(0.00774816\pi\) |
−0.931090 | + | 0.364790i | \(0.881141\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.9065 | + | 9.96313i | 0.390218 | + | 0.326528i | ||||
\(932\) | − | 1.87959i | − | 0.0615679i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 36.3756 | − | 30.5228i | 1.19025 | − | 0.998735i | ||||
\(935\) | 54.5852 | − | 23.0249i | 1.78513 | − | 0.752994i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.59711 | + | 11.4374i | −0.313524 | + | 0.373643i | −0.899676 | − | 0.436558i | \(-0.856198\pi\) |
0.586152 | + | 0.810201i | \(0.300642\pi\) | |||||||
\(938\) | −35.6049 | − | 20.5565i | −1.16254 | − | 0.671194i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.0232325 | + | 0.185749i | −0.000757762 | + | 0.00605846i | ||||
\(941\) | −3.37221 | + | 19.1248i | −0.109931 | + | 0.623450i | 0.879205 | + | 0.476444i | \(0.158075\pi\) |
−0.989136 | + | 0.147006i | \(0.953036\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.86280 | − | 5.11694i | −0.288612 | − | 0.166630i | ||||
\(944\) | −10.4494 | − | 8.76813i | −0.340101 | − | 0.285378i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −57.5409 | + | 20.9432i | −1.87082 | + | 0.680922i | ||||
\(947\) | −10.7583 | − | 12.8212i | −0.349598 | − | 0.416634i | 0.562377 | − | 0.826881i | \(-0.309887\pi\) |
−0.911975 | + | 0.410247i | \(0.865443\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.25117 | 0.105538 | ||||||||
\(950\) | 32.1520 | + | 2.35011i | 1.04315 | + | 0.0762476i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 54.3209 | − | 9.57824i | 1.76055 | − | 0.310433i | ||||
\(953\) | −34.1817 | − | 40.7361i | −1.10725 | − | 1.31957i | −0.942864 | − | 0.333177i | \(-0.891879\pi\) |
−0.164389 | − | 0.986396i | \(-0.552565\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.35051 | − | 17.3606i | 0.173138 | − | 0.561775i | ||||
\(956\) | −2.56794 | − | 2.15475i | −0.0830530 | − | 0.0696897i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.53927 | + | 1.46605i | −0.0820400 | + | 0.0473658i | ||||
\(959\) | −4.94022 | + | 28.0174i | −0.159528 | + | 0.904729i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.6396 | + | 20.1603i | 0.375470 | + | 0.650332i | ||||
\(962\) | 6.18179 | + | 3.56906i | 0.199309 | + | 0.115071i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −3.02778 | − | 1.10202i | −0.0975181 | − | 0.0354937i | ||||
\(965\) | 15.9124 | − | 6.71209i | 0.512238 | − | 0.216070i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −29.5719 | + | 5.21432i | −0.950967 | + | 0.167681i | −0.627551 | − | 0.778576i | \(-0.715943\pi\) |
−0.323416 | + | 0.946257i | \(0.604831\pi\) | |||||||
\(968\) | 17.4377i | 0.560469i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.18670 | − | 43.6065i | −0.0702107 | − | 1.40012i | ||||
\(971\) | −4.19210 | − | 23.7746i | −0.134531 | − | 0.762962i | −0.975185 | − | 0.221390i | \(-0.928940\pi\) |
0.840654 | − | 0.541572i | \(-0.182171\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.54693 | − | 23.4825i | −0.274002 | − | 0.752814i | ||||
\(974\) | −11.9386 | − | 4.34531i | −0.382538 | − | 0.139233i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.65325 | + | 11.5238i | −0.212965 | + | 0.368867i | ||||
\(977\) | 8.29375 | − | 4.78840i | 0.265341 | − | 0.153195i | −0.361428 | − | 0.932400i | \(-0.617711\pi\) |
0.626768 | + | 0.779206i | \(0.284377\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.96134 | − | 28.1372i | 0.158565 | − | 0.899267i | ||||
\(980\) | −1.25716 | + | 0.812381i | −0.0401584 | + | 0.0259506i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 24.6257 | − | 29.3477i | 0.785837 | − | 0.936524i | ||||
\(983\) | 10.6613 | − | 29.2916i | 0.340042 | − | 0.934257i | −0.645340 | − | 0.763896i | \(-0.723284\pi\) |
0.985382 | − | 0.170362i | \(-0.0544936\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.84659 | + | 5.42743i | −0.186288 | + | 0.172932i | ||||
\(986\) | −0.552008 | − | 3.13060i | −0.0175795 | − | 0.0996985i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.00198853 | − | 1.46159i | −6.32636e−5 | − | 0.0464994i | ||||
\(989\) | 14.1851 | 0.451061 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −37.2791 | + | 31.2808i | −1.18421 | + | 0.993669i | −0.184266 | + | 0.982876i | \(0.558991\pi\) |
−0.999942 | + | 0.0107922i | \(0.996565\pi\) | |||||||
\(992\) | −1.00713 | − | 2.76706i | −0.0319763 | − | 0.0878542i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −47.4772 | − | 39.8381i | −1.50589 | − | 1.26359i | ||||
\(995\) | 17.4516 | + | 8.94165i | 0.553252 | + | 0.283469i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 31.4108 | + | 5.53857i | 0.994790 | + | 0.175408i | 0.647267 | − | 0.762263i | \(-0.275912\pi\) |
0.347523 | + | 0.937672i | \(0.387023\pi\) | |||||||
\(998\) | 30.8876 | + | 5.44631i | 0.977729 | + | 0.172400i | ||||
\(999\) | 0 | 0 |
(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 | 855.2.da.b.199.2 | 48 | ||
3.2 | odd | 2 | 95.2.p.a.9.7 | yes | 48 | ||
5.4 | even | 2 | inner | 855.2.da.b.199.7 | 48 | ||
15.2 | even | 4 | 475.2.l.f.351.7 | 48 | |||
15.8 | even | 4 | 475.2.l.f.351.2 | 48 | |||
15.14 | odd | 2 | 95.2.p.a.9.2 | ✓ | 48 | ||
19.17 | even | 9 | inner | 855.2.da.b.739.7 | 48 | ||
57.17 | odd | 18 | 95.2.p.a.74.2 | yes | 48 | ||
57.32 | even | 18 | 1805.2.b.l.1084.18 | 24 | |||
57.44 | odd | 18 | 1805.2.b.k.1084.7 | 24 | |||
95.74 | even | 18 | inner | 855.2.da.b.739.2 | 48 | ||
285.17 | even | 36 | 475.2.l.f.226.7 | 48 | |||
285.32 | odd | 36 | 9025.2.a.ct.1.7 | 24 | |||
285.44 | odd | 18 | 1805.2.b.k.1084.18 | 24 | |||
285.74 | odd | 18 | 95.2.p.a.74.7 | yes | 48 | ||
285.89 | even | 18 | 1805.2.b.l.1084.7 | 24 | |||
285.158 | even | 36 | 9025.2.a.cu.1.7 | 24 | |||
285.188 | even | 36 | 475.2.l.f.226.2 | 48 | |||
285.203 | odd | 36 | 9025.2.a.ct.1.18 | 24 | |||
285.272 | even | 36 | 9025.2.a.cu.1.18 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.p.a.9.2 | ✓ | 48 | 15.14 | odd | 2 | ||
95.2.p.a.9.7 | yes | 48 | 3.2 | odd | 2 | ||
95.2.p.a.74.2 | yes | 48 | 57.17 | odd | 18 | ||
95.2.p.a.74.7 | yes | 48 | 285.74 | odd | 18 | ||
475.2.l.f.226.2 | 48 | 285.188 | even | 36 | |||
475.2.l.f.226.7 | 48 | 285.17 | even | 36 | |||
475.2.l.f.351.2 | 48 | 15.8 | even | 4 | |||
475.2.l.f.351.7 | 48 | 15.2 | even | 4 | |||
855.2.da.b.199.2 | 48 | 1.1 | even | 1 | trivial | ||
855.2.da.b.199.7 | 48 | 5.4 | even | 2 | inner | ||
855.2.da.b.739.2 | 48 | 95.74 | even | 18 | inner | ||
855.2.da.b.739.7 | 48 | 19.17 | even | 9 | inner | ||
1805.2.b.k.1084.7 | 24 | 57.44 | odd | 18 | |||
1805.2.b.k.1084.18 | 24 | 285.44 | odd | 18 | |||
1805.2.b.l.1084.7 | 24 | 285.89 | even | 18 | |||
1805.2.b.l.1084.18 | 24 | 57.32 | even | 18 | |||
9025.2.a.ct.1.7 | 24 | 285.32 | odd | 36 | |||
9025.2.a.ct.1.18 | 24 | 285.203 | odd | 36 | |||
9025.2.a.cu.1.7 | 24 | 285.158 | even | 36 | |||
9025.2.a.cu.1.18 | 24 | 285.272 | even | 36 |