Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(107,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.be (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.15 | ||
Character | \(\chi\) | \(=\) | 756.107 |
Dual form | 756.2.be.e.431.15 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.227919 | − | 1.39573i | −0.161163 | − | 0.986928i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.89611 | + | 0.636225i | −0.948053 | + | 0.318112i | ||||
\(5\) | 2.34508 | + | 1.35394i | 1.04875 | + | 0.605498i | 0.922300 | − | 0.386474i | \(-0.126307\pi\) |
0.126454 | + | 0.991973i | \(0.459641\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.75134 | − | 1.98313i | −0.661946 | − | 0.749552i | ||||
\(8\) | 1.32015 | + | 2.50144i | 0.466745 | + | 0.884392i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.35523 | − | 3.58168i | 0.428563 | − | 1.13263i | ||||
\(11\) | −2.60820 | − | 4.51754i | −0.786402 | − | 1.36209i | −0.928158 | − | 0.372187i | \(-0.878608\pi\) |
0.141756 | − | 0.989902i | \(-0.454725\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.52108 | 0.976573 | 0.488286 | − | 0.872683i | \(-0.337622\pi\) | ||||
0.488286 | + | 0.872683i | \(0.337622\pi\) | |||||||
\(14\) | −2.36874 | + | 2.89639i | −0.633072 | + | 0.774093i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.19044 | − | 2.41270i | 0.797609 | − | 0.603175i | ||||
\(17\) | −3.14229 | + | 1.81420i | −0.762118 | + | 0.440009i | −0.830056 | − | 0.557681i | \(-0.811691\pi\) |
0.0679377 | + | 0.997690i | \(0.478358\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.01162 | + | 2.31611i | 0.920329 | + | 0.531352i | 0.883740 | − | 0.467978i | \(-0.155017\pi\) |
0.0365889 | + | 0.999330i | \(0.488351\pi\) | |||||||
\(20\) | −5.30794 | − | 1.07520i | −1.18689 | − | 0.240423i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.71079 | + | 4.66997i | −1.21754 | + | 0.995640i | ||||
\(23\) | 2.93134 | − | 5.07724i | 0.611227 | − | 1.05868i | −0.379806 | − | 0.925066i | \(-0.624009\pi\) |
0.991034 | − | 0.133611i | \(-0.0426573\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.16628 | + | 2.02006i | 0.233256 | + | 0.404012i | ||||
\(26\) | −0.802521 | − | 4.91447i | −0.157387 | − | 0.963807i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.58245 | + | 2.64597i | 0.866001 | + | 0.500042i | ||||
\(29\) | − | 7.09346i | − | 1.31722i | −0.752484 | − | 0.658611i | \(-0.771144\pi\) | ||
0.752484 | − | 0.658611i | \(-0.228856\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.15625 | − | 2.39961i | 0.746485 | − | 0.430983i | −0.0779377 | − | 0.996958i | \(-0.524834\pi\) |
0.824422 | + | 0.565975i | \(0.191500\pi\) | |||||||
\(32\) | −4.09463 | − | 3.90308i | −0.723835 | − | 0.689973i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.24832 | + | 3.97229i | 0.557082 | + | 0.681242i | ||||
\(35\) | −1.42202 | − | 7.02181i | −0.240366 | − | 1.18690i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.04365 | − | 10.4679i | 0.993569 | − | 1.72091i | 0.398728 | − | 0.917069i | \(-0.369452\pi\) |
0.594841 | − | 0.803843i | \(-0.297215\pi\) | |||||||
\(38\) | 2.31833 | − | 6.12701i | 0.376083 | − | 0.993932i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.290911 | + | 7.65349i | −0.0459971 | + | 1.21012i | ||||
\(41\) | − | 4.04595i | − | 0.631871i | −0.948781 | − | 0.315935i | \(-0.897682\pi\) | ||
0.948781 | − | 0.315935i | \(-0.102318\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 4.45239i | − | 0.678983i | −0.940609 | − | 0.339492i | \(-0.889745\pi\) | ||
0.940609 | − | 0.339492i | \(-0.110255\pi\) | |||||||
\(44\) | 7.81959 | + | 6.90632i | 1.17885 | + | 1.04117i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.75454 | − | 2.93416i | −1.14335 | − | 0.432618i | ||||
\(47\) | −4.78883 | + | 8.29450i | −0.698523 | + | 1.20988i | 0.270455 | + | 0.962733i | \(0.412826\pi\) |
−0.968978 | + | 0.247145i | \(0.920508\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.865590 | + | 6.94628i | −0.123656 | + | 0.992325i | ||||
\(50\) | 2.55363 | − | 2.08822i | 0.361138 | − | 0.295319i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.67635 | + | 2.24020i | −0.925843 | + | 0.310660i | ||||
\(53\) | −6.75522 | + | 3.90013i | −0.927901 | + | 0.535724i | −0.886147 | − | 0.463404i | \(-0.846628\pi\) |
−0.0417537 | + | 0.999128i | \(0.513294\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 14.1253i | − | 1.90466i | ||||||
\(56\) | 2.64863 | − | 6.99891i | 0.353938 | − | 0.935269i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.90053 | + | 1.61673i | −1.30000 | + | 0.212287i | ||||
\(59\) | 0.574990 | + | 0.995912i | 0.0748574 | + | 0.129657i | 0.901024 | − | 0.433769i | \(-0.142817\pi\) |
−0.826167 | + | 0.563425i | \(0.809483\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.68554 | + | 2.91944i | −0.215811 | + | 0.373795i | −0.953523 | − | 0.301320i | \(-0.902573\pi\) |
0.737712 | + | 0.675115i | \(0.235906\pi\) | |||||||
\(62\) | −4.29649 | − | 5.25407i | −0.545655 | − | 0.667268i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.51438 | + | 6.60457i | −0.564298 | + | 0.825571i | ||||
\(65\) | 8.25724 | + | 4.76732i | 1.02418 | + | 0.591313i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.21965 | − | 1.28151i | 0.271173 | − | 0.156562i | −0.358248 | − | 0.933627i | \(-0.616626\pi\) |
0.629421 | + | 0.777065i | \(0.283292\pi\) | |||||||
\(68\) | 4.80388 | − | 5.43913i | 0.582556 | − | 0.659591i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −9.47642 | + | 3.58516i | −1.13265 | + | 0.428508i | ||||
\(71\) | 1.99539 | 0.236809 | 0.118404 | − | 0.992965i | \(-0.462222\pi\) | ||||
0.118404 | + | 0.992965i | \(0.462222\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.87793 | + | 8.44882i | 0.570918 | + | 0.988860i | 0.996472 | + | 0.0839264i | \(0.0267461\pi\) |
−0.425554 | + | 0.904933i | \(0.639921\pi\) | |||||||
\(74\) | −15.9878 | − | 6.04945i | −1.85854 | − | 0.703234i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −9.08002 | − | 1.83930i | −1.04155 | − | 0.210982i | ||||
\(77\) | −4.39099 | + | 13.0842i | −0.500400 | + | 1.49108i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.35219 | − | 3.66744i | −0.714677 | − | 0.412619i | 0.0981134 | − | 0.995175i | \(-0.468719\pi\) |
−0.812790 | + | 0.582556i | \(0.802053\pi\) | |||||||
\(80\) | 10.7485 | − | 1.33834i | 1.20172 | − | 0.149631i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.64704 | + | 0.922147i | −0.623611 | + | 0.101834i | ||||
\(83\) | −2.10467 | −0.231017 | −0.115509 | − | 0.993306i | \(-0.536850\pi\) | ||||
−0.115509 | + | 0.993306i | \(0.536850\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.82526 | −1.06570 | ||||||||
\(86\) | −6.21432 | + | 1.01478i | −0.670107 | + | 0.109427i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 7.85711 | − | 12.4881i | 0.837571 | − | 1.33124i | ||||
\(89\) | −3.63992 | − | 2.10151i | −0.385830 | − | 0.222759i | 0.294521 | − | 0.955645i | \(-0.404840\pi\) |
−0.680352 | + | 0.732886i | \(0.738173\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.16663 | − | 6.98276i | −0.646438 | − | 0.731992i | ||||
\(92\) | −2.32787 | + | 11.4920i | −0.242698 | + | 1.19812i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 12.6683 | + | 4.79343i | 1.30664 | + | 0.494404i | ||||
\(95\) | 6.27173 | + | 10.8629i | 0.643466 | + | 1.11452i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 16.0081 | 1.62538 | 0.812689 | − | 0.582697i | \(-0.198003\pi\) | ||||
0.812689 | + | 0.582697i | \(0.198003\pi\) | |||||||
\(98\) | 9.89239 | − | 0.375061i | 0.999282 | − | 0.0378868i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.49661 | − | 3.08823i | −0.349661 | − | 0.308823i | ||||
\(101\) | −0.266525 | + | 0.153878i | −0.0265203 | + | 0.0153115i | −0.513202 | − | 0.858268i | \(-0.671541\pi\) |
0.486681 | + | 0.873580i | \(0.338207\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.31116 | − | 1.91170i | −0.326258 | − | 0.188365i | 0.327921 | − | 0.944705i | \(-0.393652\pi\) |
−0.654178 | + | 0.756340i | \(0.726985\pi\) | |||||||
\(104\) | 4.64837 | + | 8.80777i | 0.455810 | + | 0.863673i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.98315 | + | 8.53953i | 0.678264 | + | 0.829432i | ||||
\(107\) | 0.748999 | − | 1.29730i | 0.0724085 | − | 0.125415i | −0.827548 | − | 0.561395i | \(-0.810265\pi\) |
0.899956 | + | 0.435980i | \(0.143598\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.58655 | + | 7.94413i | 0.439311 | + | 0.760910i | 0.997636 | − | 0.0687126i | \(-0.0218892\pi\) |
−0.558325 | + | 0.829622i | \(0.688556\pi\) | |||||||
\(110\) | −19.7151 | + | 3.21943i | −1.87976 | + | 0.306961i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.3722 | − | 2.10157i | −0.980085 | − | 0.198580i | ||||
\(113\) | − | 11.4442i | − | 1.07658i | −0.842760 | − | 0.538290i | \(-0.819071\pi\) | ||
0.842760 | − | 0.538290i | \(-0.180929\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 13.7485 | − | 7.93770i | 1.28205 | − | 0.740194i | ||||
\(116\) | 4.51303 | + | 13.4499i | 0.419025 | + | 1.24880i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.25897 | − | 1.02952i | 0.115898 | − | 0.0947747i | ||||
\(119\) | 9.10103 | + | 3.05427i | 0.834290 | + | 0.279985i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.10542 | + | 14.0390i | −0.736856 | + | 1.27627i | ||||
\(122\) | 4.45890 | + | 1.68715i | 0.403690 | + | 0.152748i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.35400 | + | 7.19423i | −0.570606 | + | 0.646061i | ||||
\(125\) | − | 7.22307i | − | 0.646051i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.1373i | 1.43196i | 0.698123 | + | 0.715978i | \(0.254019\pi\) | ||||
−0.698123 | + | 0.715978i | \(0.745981\pi\) | |||||||
\(128\) | 10.2471 | + | 4.79554i | 0.905723 | + | 0.423870i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.77189 | − | 12.6114i | 0.418523 | − | 1.10609i | ||||
\(131\) | −5.24244 | + | 9.08017i | −0.458034 | + | 0.793338i | −0.998857 | − | 0.0477983i | \(-0.984780\pi\) |
0.540823 | + | 0.841136i | \(0.318113\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.43258 | − | 12.0119i | −0.210932 | − | 1.04156i | ||||
\(134\) | −2.29454 | − | 2.80594i | −0.198218 | − | 0.242396i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.68643 | − | 5.46522i | −0.744855 | − | 0.468639i | ||||
\(137\) | 5.66120 | − | 3.26849i | 0.483669 | − | 0.279246i | −0.238275 | − | 0.971198i | \(-0.576582\pi\) |
0.721944 | + | 0.691951i | \(0.243249\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 11.5623i | 0.980703i | 0.871525 | + | 0.490351i | \(0.163132\pi\) | ||||
−0.871525 | + | 0.490351i | \(0.836868\pi\) | |||||||
\(140\) | 7.16376 | + | 12.4094i | 0.605448 | + | 1.04878i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.454786 | − | 2.78501i | −0.0381648 | − | 0.233713i | ||||
\(143\) | −9.18369 | − | 15.9066i | −0.767979 | − | 1.33018i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.60408 | − | 16.6348i | 0.797576 | − | 1.38144i | ||||
\(146\) | 10.6805 | − | 8.73390i | 0.883922 | − | 0.722823i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.79945 | + | 23.6934i | −0.394513 | + | 1.94758i | ||||
\(149\) | 6.70019 | + | 3.86836i | 0.548901 | + | 0.316908i | 0.748679 | − | 0.662933i | \(-0.230689\pi\) |
−0.199778 | + | 0.979841i | \(0.564022\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.01607 | + | 1.16398i | −0.164065 | + | 0.0947231i | −0.579784 | − | 0.814770i | \(-0.696863\pi\) |
0.415719 | + | 0.909493i | \(0.363530\pi\) | |||||||
\(152\) | −0.497648 | + | 13.0924i | −0.0403646 | + | 1.06194i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 19.2627 | + | 3.14650i | 1.55223 | + | 0.253552i | ||||
\(155\) | 12.9957 | 1.04384 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.19648 | − | 3.80441i | −0.175298 | − | 0.303625i | 0.764966 | − | 0.644070i | \(-0.222756\pi\) |
−0.940264 | + | 0.340445i | \(0.889422\pi\) | |||||||
\(158\) | −3.67096 | + | 9.70180i | −0.292046 | + | 0.771833i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.31774 | − | 14.6969i | −0.341347 | − | 1.16189i | ||||
\(161\) | −15.2026 | + | 3.07876i | −1.19813 | + | 0.242640i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.32905 | − | 4.23143i | −0.574055 | − | 0.331431i | 0.184712 | − | 0.982793i | \(-0.440865\pi\) |
−0.758767 | + | 0.651362i | \(0.774198\pi\) | |||||||
\(164\) | 2.57413 | + | 7.67154i | 0.201006 | + | 0.599047i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.479693 | + | 2.93754i | 0.0372314 | + | 0.227997i | ||||
\(167\) | −1.93288 | −0.149571 | −0.0747853 | − | 0.997200i | \(-0.523827\pi\) | ||||
−0.0747853 | + | 0.997200i | \(0.523827\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.601975 | −0.0463057 | ||||||||
\(170\) | 2.23936 | + | 13.7134i | 0.171751 | + | 1.05177i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.83272 | + | 8.44221i | 0.215993 | + | 0.643712i | ||||
\(173\) | 17.8599 | + | 10.3114i | 1.35787 | + | 0.783964i | 0.989336 | − | 0.145652i | \(-0.0465279\pi\) |
0.368530 | + | 0.929616i | \(0.379861\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.96347 | − | 5.85070i | 0.148425 | − | 0.442272i | ||||
\(176\) | −19.2208 | − | 8.12010i | −1.44882 | − | 0.612076i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.10352 | + | 5.55930i | −0.157666 | + | 0.416687i | ||||
\(179\) | 0.944455 | + | 1.63584i | 0.0705919 | + | 0.122269i | 0.899161 | − | 0.437618i | \(-0.144178\pi\) |
−0.828569 | + | 0.559887i | \(0.810845\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.887214 | 0.0659461 | 0.0329731 | − | 0.999456i | \(-0.489502\pi\) | ||||
0.0329731 | + | 0.999456i | \(0.489502\pi\) | |||||||
\(182\) | −8.34053 | + | 10.1984i | −0.618241 | + | 0.755958i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 16.5702 | + | 0.629839i | 1.22157 | + | 0.0464324i | ||||
\(185\) | 28.3457 | − | 16.3654i | 2.08402 | − | 1.20321i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 16.3915 | + | 9.46361i | 1.19866 | + | 0.692048i | ||||
\(188\) | 3.80297 | − | 18.7740i | 0.277360 | − | 1.36924i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 13.7323 | − | 11.2295i | 0.996243 | − | 0.814673i | ||||
\(191\) | −9.23347 | + | 15.9928i | −0.668111 | + | 1.15720i | 0.310321 | + | 0.950632i | \(0.399563\pi\) |
−0.978432 | + | 0.206570i | \(0.933770\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.38495 | + | 12.7911i | 0.531581 | + | 0.920725i | 0.999320 | + | 0.0368584i | \(0.0117351\pi\) |
−0.467740 | + | 0.883866i | \(0.654932\pi\) | |||||||
\(194\) | −3.64855 | − | 22.3430i | −0.261951 | − | 1.60413i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.77814 | − | 13.7216i | −0.198439 | − | 0.980113i | ||||
\(197\) | 12.2606i | 0.873535i | 0.899574 | + | 0.436768i | \(0.143877\pi\) | ||||
−0.899574 | + | 0.436768i | \(0.856123\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.82741 | − | 5.67386i | 0.696647 | − | 0.402209i | −0.109450 | − | 0.993992i | \(-0.534909\pi\) |
0.806097 | + | 0.591783i | \(0.201576\pi\) | |||||||
\(200\) | −3.51338 | + | 5.58417i | −0.248434 | + | 0.394861i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.275518 | + | 0.336925i | 0.0193854 | + | 0.0237059i | ||||
\(203\) | −14.0672 | + | 12.4231i | −0.987326 | + | 0.871929i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.47795 | − | 9.48809i | 0.382597 | − | 0.662677i | ||||
\(206\) | −1.91353 | + | 5.05718i | −0.133322 | + | 0.352350i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 11.2338 | − | 8.49532i | 0.778923 | − | 0.589044i | ||||
\(209\) | − | 24.1635i | − | 1.67143i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 21.5334i | − | 1.48242i | −0.671274 | − | 0.741209i | \(-0.734253\pi\) | ||
0.671274 | − | 0.741209i | \(-0.265747\pi\) | |||||||
\(212\) | 10.3273 | − | 11.6929i | 0.709279 | − | 0.803071i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.98139 | − | 0.749718i | −0.135445 | − | 0.0512496i | ||||
\(215\) | 6.02825 | − | 10.4412i | 0.411123 | − | 0.712086i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.0378 | − | 4.03983i | −0.817176 | − | 0.274241i | ||||
\(218\) | 10.0425 | − | 8.21218i | 0.680162 | − | 0.556199i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 8.98689 | + | 26.7831i | 0.605896 | + | 1.80572i | ||||
\(221\) | −11.0643 | + | 6.38796i | −0.744264 | + | 0.429701i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.8337i | 1.39513i | 0.716524 | + | 0.697563i | \(0.245732\pi\) | ||||
−0.716524 | + | 0.697563i | \(0.754268\pi\) | |||||||
\(224\) | −0.569194 | + | 14.9558i | −0.0380309 | + | 0.999277i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.9730 | + | 2.60835i | −1.06251 | + | 0.173505i | ||||
\(227\) | 10.2594 | + | 17.7698i | 0.680939 | + | 1.17942i | 0.974695 | + | 0.223540i | \(0.0717614\pi\) |
−0.293756 | + | 0.955881i | \(0.594905\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.04155 | − | 15.6604i | 0.597483 | − | 1.03487i | −0.395709 | − | 0.918376i | \(-0.629501\pi\) |
0.993191 | − | 0.116494i | \(-0.0371656\pi\) | |||||||
\(230\) | −14.2124 | − | 17.3800i | −0.937138 | − | 1.14600i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 17.7438 | − | 9.36446i | 1.16494 | − | 0.614807i | ||||
\(233\) | 5.81169 | + | 3.35538i | 0.380737 | + | 0.219818i | 0.678139 | − | 0.734934i | \(-0.262787\pi\) |
−0.297402 | + | 0.954752i | \(0.596120\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −22.4604 | + | 12.9675i | −1.46516 | + | 0.845909i | ||||
\(236\) | −1.72387 | − | 1.52253i | −0.112214 | − | 0.0991084i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.18863 | − | 13.3987i | 0.141868 | − | 0.868507i | ||||
\(239\) | 6.71775 | 0.434535 | 0.217268 | − | 0.976112i | \(-0.430286\pi\) | ||||
0.217268 | + | 0.976112i | \(0.430286\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.6618 | − | 21.9308i | −0.815616 | − | 1.41269i | −0.908885 | − | 0.417048i | \(-0.863065\pi\) |
0.0932685 | − | 0.995641i | \(-0.470268\pi\) | |||||||
\(242\) | 21.4420 | + | 8.11320i | 1.37834 | + | 0.521536i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.33854 | − | 6.60794i | 0.0856912 | − | 0.423030i | ||||
\(245\) | −11.4347 | + | 15.1177i | −0.730536 | + | 0.965831i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 14.1252 | + | 8.15522i | 0.898768 | + | 0.518904i | ||||
\(248\) | 11.4894 | + | 7.22874i | 0.729576 | + | 0.459026i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −10.0814 | + | 1.64627i | −0.637606 | + | 0.104120i | ||||
\(251\) | −1.84731 | −0.116601 | −0.0583007 | − | 0.998299i | \(-0.518568\pi\) | ||||
−0.0583007 | + | 0.998299i | \(0.518568\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −30.5821 | −1.92268 | ||||||||
\(254\) | 22.5233 | − | 3.67800i | 1.41324 | − | 0.230778i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.35776 | − | 15.3951i | 0.272360 | − | 0.962195i | ||||
\(257\) | −21.3448 | − | 12.3235i | −1.33145 | − | 0.768716i | −0.345932 | − | 0.938260i | \(-0.612437\pi\) |
−0.985523 | + | 0.169544i | \(0.945771\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −31.3437 | + | 6.34757i | −1.94760 | + | 0.394419i | ||||
\(260\) | −18.6897 | − | 3.78588i | −1.15909 | − | 0.234790i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 13.8683 | + | 5.24747i | 0.856786 | + | 0.324190i | ||||
\(263\) | 4.79770 | + | 8.30986i | 0.295839 | + | 0.512408i | 0.975180 | − | 0.221415i | \(-0.0710675\pi\) |
−0.679341 | + | 0.733823i | \(0.737734\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −21.1221 | −1.29752 | ||||||||
\(266\) | −16.2108 | + | 6.13295i | −0.993950 | + | 0.376035i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.39335 | + | 3.84208i | −0.207282 | + | 0.234692i | ||||
\(269\) | −24.6346 | + | 14.2228i | −1.50200 | + | 0.867180i | −0.502002 | + | 0.864866i | \(0.667403\pi\) |
−0.999997 | + | 0.00231318i | \(0.999264\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 22.7905 | + | 13.1581i | 1.38443 | + | 0.799298i | 0.992680 | − | 0.120776i | \(-0.0385382\pi\) |
0.391745 | + | 0.920074i | \(0.371871\pi\) | |||||||
\(272\) | −5.64816 | + | 13.3695i | −0.342470 | + | 0.810646i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.85222 | − | 7.15653i | −0.353545 | − | 0.432342i | ||||
\(275\) | 6.08379 | − | 10.5374i | 0.366867 | − | 0.635431i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.1856 | + | 26.3022i | 0.912414 | + | 1.58035i | 0.810644 | + | 0.585539i | \(0.199117\pi\) |
0.101770 | + | 0.994808i | \(0.467549\pi\) | |||||||
\(278\) | 16.1378 | − | 2.63527i | 0.967883 | − | 0.158053i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 15.6873 | − | 12.8270i | 0.937497 | − | 0.766558i | ||||
\(281\) | − | 0.205690i | − | 0.0122704i | −0.999981 | − | 0.00613521i | \(-0.998047\pi\) | ||
0.999981 | − | 0.00613521i | \(-0.00195291\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.2180 | + | 9.36346i | −0.964059 | + | 0.556600i | −0.897420 | − | 0.441177i | \(-0.854561\pi\) |
−0.0666391 | + | 0.997777i | \(0.521228\pi\) | |||||||
\(284\) | −3.78346 | + | 1.26951i | −0.224507 | + | 0.0753318i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −20.1082 | + | 16.4433i | −1.18902 | + | 0.972315i | ||||
\(287\) | −8.02363 | + | 7.08584i | −0.473620 | + | 0.418264i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.91733 | + | 3.32091i | −0.112784 | + | 0.195348i | ||||
\(290\) | −25.4065 | − | 9.61330i | −1.49192 | − | 0.564512i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −14.6244 | − | 12.9164i | −0.855829 | − | 0.755875i | ||||
\(293\) | 3.33599i | 0.194891i | 0.995241 | + | 0.0974453i | \(0.0310671\pi\) | ||||
−0.995241 | + | 0.0974453i | \(0.968933\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.11400i | 0.181304i | ||||||||
\(296\) | 34.1634 | + | 1.29856i | 1.98570 | + | 0.0754772i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.87207 | − | 10.2333i | 0.224303 | − | 0.592800i | ||||
\(299\) | 10.3215 | − | 17.8774i | 0.596908 | − | 1.03388i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.82966 | + | 7.79767i | −0.508933 | + | 0.449450i | ||||
\(302\) | 2.08409 | + | 2.54859i | 0.119926 | + | 0.146655i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 18.3869 | − | 2.28943i | 1.05456 | − | 0.131308i | ||||
\(305\) | −7.90545 | + | 4.56422i | −0.452665 | + | 0.261346i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 1.16179i | − | 0.0663067i | −0.999450 | − | 0.0331534i | \(-0.989445\pi\) | ||
0.999450 | − | 0.0331534i | \(-0.0105550\pi\) | |||||||
\(308\) | 0.00132643 | − | 27.6026i | 7.55803e−5 | − | 1.57280i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.96196 | − | 18.1384i | −0.168228 | − | 1.03019i | ||||
\(311\) | −4.20003 | − | 7.27467i | −0.238162 | − | 0.412509i | 0.722025 | − | 0.691867i | \(-0.243212\pi\) |
−0.960187 | + | 0.279358i | \(0.909878\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.91923 | + | 3.32421i | −0.108482 | + | 0.187895i | −0.915155 | − | 0.403101i | \(-0.867932\pi\) |
0.806674 | + | 0.590997i | \(0.201265\pi\) | |||||||
\(314\) | −4.80930 | + | 3.93278i | −0.271405 | + | 0.221940i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 14.3777 | + | 2.91243i | 0.808811 | + | 0.163837i | ||||
\(317\) | 13.5185 | + | 7.80493i | 0.759277 | + | 0.438369i | 0.829036 | − | 0.559195i | \(-0.188890\pi\) |
−0.0697593 | + | 0.997564i | \(0.522223\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −32.0449 | + | 18.5012i | −1.79417 | + | 1.03587i | ||||
\(320\) | −19.5288 | + | 9.37609i | −1.09169 | + | 0.524139i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.76206 | + | 20.5170i | 0.432563 | + | 1.14337i | ||||
\(323\) | −16.8076 | −0.935199 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.10657 | + | 7.11280i | 0.227792 | + | 0.394547i | ||||
\(326\) | −4.23549 | + | 11.1938i | −0.234582 | + | 0.619966i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.1207 | − | 5.34127i | 0.558821 | − | 0.294923i | ||||
\(329\) | 24.8360 | − | 5.02966i | 1.36925 | − | 0.277294i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.78658 | + | 5.07293i | 0.482954 | + | 0.278834i | 0.721647 | − | 0.692261i | \(-0.243386\pi\) |
−0.238693 | + | 0.971095i | \(0.576719\pi\) | |||||||
\(332\) | 3.99067 | − | 1.33904i | 0.219017 | − | 0.0734895i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.440539 | + | 2.69777i | 0.0241052 | + | 0.147615i | ||||
\(335\) | 6.94035 | 0.379192 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.8597 | 0.591563 | 0.295782 | − | 0.955256i | \(-0.404420\pi\) | ||||
0.295782 | + | 0.955256i | \(0.404420\pi\) | |||||||
\(338\) | 0.137201 | + | 0.840192i | 0.00746277 | + | 0.0457004i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 18.6297 | − | 6.25107i | 1.01034 | − | 0.339012i | ||||
\(341\) | −21.6807 | − | 12.5173i | −1.17407 | − | 0.677852i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.2913 | − | 10.4487i | 0.825652 | − | 0.564179i | ||||
\(344\) | 11.1374 | − | 5.87784i | 0.600487 | − | 0.316912i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.3213 | − | 27.2778i | 0.554878 | − | 1.46646i | ||||
\(347\) | −2.45703 | − | 4.25570i | −0.131900 | − | 0.228458i | 0.792509 | − | 0.609860i | \(-0.208774\pi\) |
−0.924409 | + | 0.381403i | \(0.875441\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.2318 | −0.654753 | −0.327377 | − | 0.944894i | \(-0.606165\pi\) | ||||
−0.327377 | + | 0.944894i | \(0.606165\pi\) | |||||||
\(350\) | −8.61350 | − | 1.40699i | −0.460411 | − | 0.0752067i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.95267 | + | 28.6776i | −0.370579 | + | 1.52852i | ||||
\(353\) | 10.0718 | − | 5.81493i | 0.536065 | − | 0.309498i | −0.207417 | − | 0.978253i | \(-0.566506\pi\) |
0.743483 | + | 0.668755i | \(0.233172\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.67935 | + | 2.70162i | 0.248354 | + | 0.143387i | ||||
\(356\) | 8.23870 | + | 1.66887i | 0.436650 | + | 0.0884502i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.06793 | − | 1.69104i | 0.109294 | − | 0.0893743i | ||||
\(359\) | 10.1939 | − | 17.6563i | 0.538012 | − | 0.931865i | −0.460999 | − | 0.887401i | \(-0.652509\pi\) |
0.999011 | − | 0.0444637i | \(-0.0141579\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.22873 | + | 2.12823i | 0.0646701 | + | 0.112012i | ||||
\(362\) | −0.202213 | − | 1.23831i | −0.0106281 | − | 0.0650841i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 16.1352 | + | 9.31669i | 0.845713 | + | 0.488327i | ||||
\(365\) | 26.4176i | 1.38276i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.46373 | + | 3.73184i | −0.337404 | + | 0.194800i | −0.659123 | − | 0.752035i | \(-0.729073\pi\) |
0.321719 | + | 0.946835i | \(0.395739\pi\) | |||||||
\(368\) | −2.89758 | − | 23.2710i | −0.151047 | − | 1.21309i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −29.3022 | − | 35.8329i | −1.52335 | − | 1.86286i | ||||
\(371\) | 19.5652 | + | 6.56600i | 1.01577 | + | 0.340890i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.57945 | − | 13.1280i | 0.392449 | − | 0.679742i | −0.600323 | − | 0.799758i | \(-0.704961\pi\) |
0.992772 | + | 0.120016i | \(0.0382946\pi\) | |||||||
\(374\) | 9.47270 | − | 25.0349i | 0.489821 | − | 1.29453i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −27.0702 | − | 1.02895i | −1.39604 | − | 0.0530638i | ||||
\(377\) | − | 24.9766i | − | 1.28636i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.21116i | 0.216313i | 0.994134 | + | 0.108156i | \(0.0344947\pi\) | ||||
−0.994134 | + | 0.108156i | \(0.965505\pi\) | |||||||
\(380\) | −18.8031 | − | 16.6071i | −0.964581 | − | 0.851925i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 24.4261 | + | 9.24233i | 1.24975 | + | 0.472879i | ||||
\(383\) | 8.24304 | − | 14.2774i | 0.421200 | − | 0.729539i | −0.574857 | − | 0.818254i | \(-0.694942\pi\) |
0.996057 | + | 0.0887143i | \(0.0282758\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −28.0123 | + | 24.7383i | −1.42764 | + | 1.26078i | ||||
\(386\) | 16.1697 | − | 13.2227i | 0.823018 | − | 0.673018i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −30.3531 | + | 10.1848i | −1.54094 | + | 0.517053i | ||||
\(389\) | −3.73607 | + | 2.15702i | −0.189426 | + | 0.109365i | −0.591714 | − | 0.806148i | \(-0.701549\pi\) |
0.402288 | + | 0.915513i | \(0.368215\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.2722i | 1.07578i | ||||||||
\(392\) | −18.5184 | + | 7.00494i | −0.935320 | + | 0.353803i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 17.1125 | − | 2.79443i | 0.862116 | − | 0.140782i | ||||
\(395\) | −9.93095 | − | 17.2009i | −0.499680 | − | 0.865471i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.78541 | + | 10.0206i | −0.290361 | + | 0.502921i | −0.973895 | − | 0.226998i | \(-0.927109\pi\) |
0.683534 | + | 0.729919i | \(0.260442\pi\) | |||||||
\(398\) | −10.1590 | − | 12.4232i | −0.509225 | − | 0.622719i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.59474 | + | 3.63098i | 0.429737 | + | 0.181549i | ||||
\(401\) | 3.27603 | + | 1.89142i | 0.163597 | + | 0.0944528i | 0.579563 | − | 0.814927i | \(-0.303223\pi\) |
−0.415966 | + | 0.909380i | \(0.636557\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.6345 | − | 8.44923i | 0.728996 | − | 0.420886i | ||||
\(404\) | 0.407459 | − | 0.461340i | 0.0202718 | − | 0.0229525i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 20.5454 | + | 16.8026i | 1.01965 | + | 0.833897i | ||||
\(407\) | −63.0522 | −3.12538 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.4801 | − | 26.8124i | −0.765444 | − | 1.32579i | −0.940011 | − | 0.341143i | \(-0.889186\pi\) |
0.174567 | − | 0.984645i | \(-0.444147\pi\) | |||||||
\(410\) | −14.4913 | − | 5.48321i | −0.715675 | − | 0.270796i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.49457 | + | 1.51814i | 0.369231 | + | 0.0747934i | ||||
\(413\) | 0.968016 | − | 2.88446i | 0.0476329 | − | 0.141935i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.93562 | − | 2.84958i | −0.242280 | − | 0.139881i | ||||
\(416\) | −14.4175 | − | 13.7431i | −0.706878 | − | 0.673809i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −33.7257 | + | 5.50732i | −1.64958 | + | 0.269372i | ||||
\(419\) | −12.6957 | −0.620226 | −0.310113 | − | 0.950700i | \(-0.600367\pi\) | ||||
−0.310113 | + | 0.950700i | \(0.600367\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −37.2936 | −1.81758 | −0.908789 | − | 0.417256i | \(-0.862992\pi\) | ||||
−0.908789 | + | 0.417256i | \(0.862992\pi\) | |||||||
\(422\) | −30.0547 | + | 4.90786i | −1.46304 | + | 0.238911i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −18.6739 | − | 11.7490i | −0.906883 | − | 0.570581i | ||||
\(425\) | −7.32960 | − | 4.23174i | −0.355538 | − | 0.205270i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.74157 | − | 1.77030i | 0.423034 | − | 0.0856708i | ||||
\(428\) | −0.594804 | + | 2.93636i | −0.0287509 | + | 0.141934i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −15.9471 | − | 6.03403i | −0.769036 | − | 0.290987i | ||||
\(431\) | −8.54169 | − | 14.7946i | −0.411439 | − | 0.712633i | 0.583609 | − | 0.812035i | \(-0.301640\pi\) |
−0.995047 | + | 0.0994025i | \(0.968307\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.73945 | 0.179706 | 0.0898532 | − | 0.995955i | \(-0.471360\pi\) | ||||
0.0898532 | + | 0.995955i | \(0.471360\pi\) | |||||||
\(434\) | −2.89486 | + | 17.7222i | −0.138958 | + | 0.850692i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.7508 | − | 12.1448i | −0.658545 | − | 0.581632i | ||||
\(437\) | 23.5189 | − | 13.5786i | 1.12506 | − | 0.649554i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −30.4990 | − | 17.6086i | −1.45564 | − | 0.840413i | −0.456846 | − | 0.889546i | \(-0.651021\pi\) |
−0.998792 | + | 0.0491324i | \(0.984354\pi\) | |||||||
\(440\) | 35.3337 | − | 18.6476i | 1.68447 | − | 0.888991i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 11.4376 | + | 13.9868i | 0.544031 | + | 0.665283i | ||||
\(443\) | 9.87357 | − | 17.1015i | 0.469107 | − | 0.812518i | −0.530269 | − | 0.847829i | \(-0.677909\pi\) |
0.999376 | + | 0.0353117i | \(0.0112424\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.69061 | − | 9.85643i | −0.269761 | − | 0.467239i | ||||
\(446\) | 29.0781 | − | 4.74839i | 1.37689 | − | 0.224843i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 21.0039 | − | 2.61427i | 0.992343 | − | 0.123513i | ||||
\(449\) | − | 11.3969i | − | 0.537855i | −0.963160 | − | 0.268927i | \(-0.913331\pi\) | ||
0.963160 | − | 0.268927i | \(-0.0866692\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −18.2777 | + | 10.5526i | −0.860664 | + | 0.496904i | ||||
\(452\) | 7.28108 | + | 21.6994i | 0.342473 | + | 1.02065i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 22.4634 | − | 18.3694i | 1.05426 | − | 0.862117i | ||||
\(455\) | −5.00706 | − | 24.7244i | −0.234735 | − | 1.15910i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.32433 | − | 4.02586i | 0.108728 | − | 0.188322i | −0.806527 | − | 0.591197i | \(-0.798656\pi\) |
0.915255 | + | 0.402875i | \(0.131989\pi\) | |||||||
\(458\) | −23.9184 | − | 9.05023i | −1.11763 | − | 0.422889i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −21.0185 | + | 23.7979i | −0.979990 | + | 1.10958i | ||||
\(461\) | 7.66696i | 0.357086i | 0.983932 | + | 0.178543i | \(0.0571384\pi\) | ||||
−0.983932 | + | 0.178543i | \(0.942862\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 17.5007i | − | 0.813329i | −0.913578 | − | 0.406664i | \(-0.866692\pi\) | ||
0.913578 | − | 0.406664i | \(-0.133308\pi\) | |||||||
\(464\) | −17.1144 | − | 22.6312i | −0.794515 | − | 1.05063i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.35860 | − | 8.87629i | 0.155584 | − | 0.411186i | ||||
\(467\) | −10.5852 | + | 18.3342i | −0.489827 | + | 0.848405i | −0.999931 | − | 0.0117074i | \(-0.996273\pi\) |
0.510105 | + | 0.860112i | \(0.329607\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.42877 | − | 2.15747i | −0.296853 | − | 0.0996228i | ||||
\(470\) | 23.2183 | + | 28.3931i | 1.07098 | + | 1.30968i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.73214 | + | 2.75306i | −0.0797281 | + | 0.126720i | ||||
\(473\) | −20.1138 | + | 11.6127i | −0.924835 | + | 0.533954i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.8049i | 0.495765i | ||||||||
\(476\) | −19.1997 | 0.000922633i | −0.880018 | 4.22888e-5i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.53110 | − | 9.37615i | −0.0700310 | − | 0.428855i | ||||
\(479\) | −0.545751 | − | 0.945269i | −0.0249360 | − | 0.0431904i | 0.853288 | − | 0.521440i | \(-0.174605\pi\) |
−0.878224 | + | 0.478249i | \(0.841272\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 21.2802 | − | 36.8584i | 0.970293 | − | 1.68060i | ||||
\(482\) | −27.7236 | + | 22.6708i | −1.26277 | + | 1.03263i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.43677 | − | 31.7763i | 0.292581 | − | 1.44438i | ||||
\(485\) | 37.5404 | + | 21.6740i | 1.70462 | + | 0.984164i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −29.4856 | + | 17.0235i | −1.33612 | + | 0.771409i | −0.986230 | − | 0.165381i | \(-0.947115\pi\) |
−0.349891 | + | 0.936791i | \(0.613781\pi\) | |||||||
\(488\) | −9.52795 | − | 0.362160i | −0.431310 | − | 0.0163942i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 23.7063 | + | 12.5141i | 1.07094 | + | 0.565330i | ||||
\(491\) | 22.4308 | 1.01229 | 0.506143 | − | 0.862449i | \(-0.331071\pi\) | ||||
0.506143 | + | 0.862449i | \(0.331071\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.8690 | + | 22.2897i | 0.579589 | + | 1.00388i | ||||
\(494\) | 8.16304 | − | 21.5737i | 0.367273 | − | 0.970647i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.47071 | − | 17.6836i | 0.335445 | − | 0.794017i | ||||
\(497\) | −3.49461 | − | 3.95711i | −0.156755 | − | 0.177500i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 23.6847 | + | 13.6743i | 1.06027 | + | 0.612148i | 0.925507 | − | 0.378730i | \(-0.123639\pi\) |
0.134764 | + | 0.990878i | \(0.456972\pi\) | |||||||
\(500\) | 4.59550 | + | 13.6957i | 0.205517 | + | 0.612491i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.421038 | + | 2.57835i | 0.0187918 | + | 0.115077i | ||||
\(503\) | 18.0714 | 0.805766 | 0.402883 | − | 0.915252i | \(-0.368008\pi\) | ||||
0.402883 | + | 0.915252i | \(0.368008\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.833366 | −0.0370843 | ||||||||
\(506\) | 6.97024 | + | 42.6843i | 0.309865 | + | 1.89755i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.2670 | − | 30.5981i | −0.455523 | − | 1.35757i | ||||
\(509\) | −21.1118 | − | 12.1889i | −0.935763 | − | 0.540263i | −0.0471333 | − | 0.998889i | \(-0.515009\pi\) |
−0.888630 | + | 0.458626i | \(0.848342\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.21216 | − | 24.4703i | 0.363284 | − | 1.08250i | ||||
\(512\) | −22.4806 | − | 2.57340i | −0.993512 | − | 0.113729i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.3353 | + | 32.6003i | −0.544086 | + | 1.43794i | ||||
\(515\) | −5.17663 | − | 8.96618i | −0.228109 | − | 0.395097i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 49.9610 | 2.19728 | ||||||||
\(518\) | 16.0033 | + | 42.3005i | 0.703144 | + | 1.85858i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.02432 | + | 26.9486i | −0.0449195 | + | 1.18177i | ||||
\(521\) | 20.9445 | − | 12.0923i | 0.917594 | − | 0.529773i | 0.0347271 | − | 0.999397i | \(-0.488944\pi\) |
0.882867 | + | 0.469624i | \(0.155610\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.2824 | + | 18.6382i | 1.41161 | + | 0.814993i | 0.995540 | − | 0.0943405i | \(-0.0300742\pi\) |
0.416069 | + | 0.909333i | \(0.363408\pi\) | |||||||
\(524\) | 4.16319 | − | 20.5523i | 0.181870 | − | 0.897833i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 10.5048 | − | 8.59026i | 0.458032 | − | 0.374553i | ||||
\(527\) | −8.70677 | + | 15.0806i | −0.379273 | + | 0.656920i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.68555 | − | 9.84767i | −0.247198 | − | 0.428160i | ||||
\(530\) | 4.81412 | + | 29.4807i | 0.209112 | + | 1.28056i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.2547 | + | 21.2281i | 0.531308 | + | 0.920354i | ||||
\(533\) | − | 14.2461i | − | 0.617068i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.51293 | − | 2.02819i | 0.151877 | − | 0.0876864i | ||||
\(536\) | 6.13590 | + | 3.86051i | 0.265031 | + | 0.166749i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 25.4658 | + | 31.1416i | 1.09791 | + | 1.34261i | ||||
\(539\) | 33.6377 | − | 14.2069i | 1.44888 | − | 0.611937i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.3439 | + | 23.1123i | −0.573698 | + | 0.993675i | 0.422483 | + | 0.906371i | \(0.361158\pi\) |
−0.996182 | + | 0.0873039i | \(0.972175\pi\) | |||||||
\(542\) | 13.1707 | − | 34.8083i | 0.565732 | − | 1.49514i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 19.9475 | + | 4.83612i | 0.855242 | + | 0.207347i | ||||
\(545\) | 24.8395i | 1.06401i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 22.3708i | − | 0.956508i | −0.878222 | − | 0.478254i | \(-0.841270\pi\) | ||
0.878222 | − | 0.478254i | \(-0.158730\pi\) | |||||||
\(548\) | −8.65473 | + | 9.79921i | −0.369712 | + | 0.418601i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −16.0940 | − | 6.08963i | −0.686250 | − | 0.259663i | ||||
\(551\) | 16.4292 | − | 28.4563i | 0.699909 | − | 1.21228i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.85187 | + | 19.0201i | 0.163798 | + | 0.808819i | ||||
\(554\) | 33.2496 | − | 27.1897i | 1.41264 | − | 1.15518i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.35623 | − | 21.9234i | −0.311974 | − | 0.929758i | ||||
\(557\) | −18.0665 | + | 10.4307i | −0.765501 | + | 0.441962i | −0.831267 | − | 0.555873i | \(-0.812384\pi\) |
0.0657663 | + | 0.997835i | \(0.479051\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 15.6772i | − | 0.663077i | ||||||
\(560\) | −21.4784 | − | 18.9717i | −0.907628 | − | 0.801701i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.287086 | + | 0.0468805i | −0.0121100 | + | 0.00197754i | ||||
\(563\) | 19.4534 | + | 33.6943i | 0.819863 | + | 1.42005i | 0.905782 | + | 0.423743i | \(0.139284\pi\) |
−0.0859189 | + | 0.996302i | \(0.527383\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 15.4947 | − | 26.8376i | 0.651867 | − | 1.12907i | ||||
\(566\) | 16.7652 | + | 20.5018i | 0.704694 | + | 0.861753i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.63422 | + | 4.99134i | 0.110529 | + | 0.209432i | ||||
\(569\) | −7.87778 | − | 4.54824i | −0.330254 | − | 0.190672i | 0.325700 | − | 0.945473i | \(-0.394400\pi\) |
−0.655954 | + | 0.754801i | \(0.727733\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.0441 | − | 10.9951i | 0.796971 | − | 0.460131i | −0.0454400 | − | 0.998967i | \(-0.514469\pi\) |
0.842411 | + | 0.538836i | \(0.181136\pi\) | |||||||
\(572\) | 27.5334 | + | 24.3177i | 1.15123 | + | 1.01678i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.7186 | + | 9.58379i | 0.489126 | + | 0.400020i | ||||
\(575\) | 13.6751 | 0.570291 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −20.7080 | − | 35.8673i | −0.862086 | − | 1.49318i | −0.869912 | − | 0.493208i | \(-0.835824\pi\) |
0.00782547 | − | 0.999969i | \(-0.497509\pi\) | |||||||
\(578\) | 5.07208 | + | 1.91917i | 0.210971 | + | 0.0798270i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.62691 | + | 37.6516i | −0.316690 | + | 1.56340i | ||||
\(581\) | 3.68600 | + | 4.17382i | 0.152921 | + | 0.173159i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 35.2379 | + | 20.3446i | 1.45941 | + | 0.842588i | ||||
\(584\) | −14.6946 | + | 23.3556i | −0.608066 | + | 0.966461i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.65613 | − | 0.760335i | 0.192343 | − | 0.0314092i | ||||
\(587\) | −33.7332 | −1.39232 | −0.696158 | − | 0.717888i | \(-0.745109\pi\) | ||||
−0.696158 | + | 0.717888i | \(0.745109\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.2311 | 0.916015 | ||||||||
\(590\) | 4.34629 | − | 0.709739i | 0.178934 | − | 0.0292195i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.97404 | − | 47.9787i | −0.245531 | − | 1.97191i | ||||
\(593\) | 6.56363 | + | 3.78951i | 0.269536 | + | 0.155617i | 0.628677 | − | 0.777667i | \(-0.283597\pi\) |
−0.359141 | + | 0.933283i | \(0.616930\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 17.2074 | + | 19.4847i | 0.705435 | + | 0.798796i | ||||
\(596\) | −15.1654 | − | 3.07199i | −0.621200 | − | 0.125834i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −27.3044 | − | 10.3314i | −1.11656 | − | 0.422483i | ||||
\(599\) | 3.46912 | + | 6.00870i | 0.141745 | + | 0.245509i | 0.928154 | − | 0.372197i | \(-0.121396\pi\) |
−0.786409 | + | 0.617706i | \(0.788062\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.2305 | 0.580475 | 0.290238 | − | 0.956955i | \(-0.406266\pi\) | ||||
0.290238 | + | 0.956955i | \(0.406266\pi\) | |||||||
\(602\) | 12.8959 | + | 10.5466i | 0.525596 | + | 0.429846i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.08213 | − | 3.48970i | 0.125410 | − | 0.141994i | ||||
\(605\) | −38.0158 | + | 21.9484i | −1.54556 | + | 0.892330i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.4240 | − | 6.59565i | −0.463686 | − | 0.267709i | 0.249907 | − | 0.968270i | \(-0.419600\pi\) |
−0.713593 | + | 0.700561i | \(0.752933\pi\) | |||||||
\(608\) | −7.38614 | − | 25.1413i | −0.299548 | − | 1.01961i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.17220 | + | 9.99358i | 0.330883 | + | 0.404628i | ||||
\(611\) | −16.8619 | + | 29.2056i | −0.682159 | + | 1.18153i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.9433 | + | 36.2749i | 0.845892 | + | 1.46513i | 0.884844 | + | 0.465888i | \(0.154265\pi\) |
−0.0389516 | + | 0.999241i | \(0.512402\pi\) | |||||||
\(614\) | −1.62154 | + | 0.264793i | −0.0654400 | + | 0.0106862i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −38.5260 | + | 6.28930i | −1.55226 | + | 0.253403i | ||||
\(617\) | − | 26.7991i | − | 1.07889i | −0.842021 | − | 0.539445i | \(-0.818634\pi\) | ||
0.842021 | − | 0.539445i | \(-0.181366\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.70031 | + | 3.86843i | −0.269308 | + | 0.155485i | −0.628573 | − | 0.777750i | \(-0.716361\pi\) |
0.359265 | + | 0.933236i | \(0.383027\pi\) | |||||||
\(620\) | −24.6412 | + | 8.26817i | −0.989614 | + | 0.332058i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.19619 | + | 7.52013i | −0.368734 | + | 0.301530i | ||||
\(623\) | 2.20719 | + | 10.8989i | 0.0884292 | + | 0.436655i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.6110 | − | 27.0390i | 0.624439 | − | 1.08156i | ||||
\(626\) | 5.07712 | + | 1.92108i | 0.202922 | + | 0.0767816i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.58522 | + | 5.81612i | 0.262779 | + | 0.232088i | ||||
\(629\) | 43.8576i | 1.74872i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 18.0815i | − | 0.719814i | −0.932988 | − | 0.359907i | \(-0.882808\pi\) | ||
0.932988 | − | 0.359907i | \(-0.117192\pi\) | |||||||
\(632\) | 0.787999 | − | 20.7312i | 0.0313449 | − | 0.824642i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.81242 | − | 20.6471i | 0.310271 | − | 0.820000i | ||||
\(635\) | −21.8489 | + | 37.8434i | −0.867047 | + | 1.50177i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.04781 | + | 24.4584i | −0.120759 | + | 0.969078i | ||||
\(638\) | 33.1262 | + | 40.5092i | 1.31148 | + | 1.60378i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 17.5374 | + | 25.1198i | 0.693228 | + | 0.992949i | ||||
\(641\) | 29.2136 | − | 16.8665i | 1.15387 | − | 0.666185i | 0.204040 | − | 0.978963i | \(-0.434593\pi\) |
0.949826 | + | 0.312778i | \(0.101260\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.8978i | 0.508639i | 0.967120 | + | 0.254319i | \(0.0818515\pi\) | ||||
−0.967120 | + | 0.254319i | \(0.918149\pi\) | |||||||
\(644\) | 26.8670 | − | 15.5099i | 1.05871 | − | 0.611177i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.83076 | + | 23.4588i | 0.150719 | + | 0.922974i | ||||
\(647\) | 21.4352 | + | 37.1268i | 0.842704 | + | 1.45961i | 0.887600 | + | 0.460614i | \(0.152371\pi\) |
−0.0448964 | + | 0.998992i | \(0.514296\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.99938 | − | 5.19508i | 0.117736 | − | 0.203925i | ||||
\(650\) | 8.99155 | − | 7.35280i | 0.352678 | − | 0.288400i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.5888 | + | 3.36031i | 0.649667 | + | 0.131600i | ||||
\(653\) | −32.6041 | − | 18.8240i | −1.27590 | − | 0.736639i | −0.299806 | − | 0.954000i | \(-0.596922\pi\) |
−0.976091 | + | 0.217361i | \(0.930255\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −24.5879 | + | 14.1958i | −0.960730 | + | 0.554678i | ||||
\(656\) | −9.76165 | − | 12.9083i | −0.381129 | − | 0.503986i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.6806 | − | 33.5178i | −0.494342 | − | 1.30666i | ||||
\(659\) | −12.7823 | −0.497927 | −0.248964 | − | 0.968513i | \(-0.580090\pi\) | ||||
−0.248964 | + | 0.968513i | \(0.580090\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.25771 | + | 5.64252i | 0.126710 | + | 0.219469i | 0.922400 | − | 0.386236i | \(-0.126225\pi\) |
−0.795690 | + | 0.605704i | \(0.792891\pi\) | |||||||
\(662\) | 5.07780 | − | 13.4199i | 0.197354 | − | 0.521578i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.77849 | − | 5.26470i | −0.107826 | − | 0.204310i | ||||
\(665\) | 10.5587 | − | 31.4624i | 0.409447 | − | 1.22006i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −36.0152 | − | 20.7934i | −1.39451 | − | 0.805122i | ||||
\(668\) | 3.66494 | − | 1.22974i | 0.141801 | − | 0.0475803i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.58184 | − | 9.68683i | −0.0611116 | − | 0.374235i | ||||
\(671\) | 17.5849 | 0.678856 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.32889 | 0.166866 | 0.0834331 | − | 0.996513i | \(-0.473411\pi\) | ||||
0.0834331 | + | 0.996513i | \(0.473411\pi\) | |||||||
\(674\) | −2.47512 | − | 15.1571i | −0.0953381 | − | 0.583830i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.14141 | − | 0.382991i | 0.0439003 | − | 0.0147304i | ||||
\(677\) | 21.9749 | + | 12.6872i | 0.844565 | + | 0.487610i | 0.858813 | − | 0.512289i | \(-0.171202\pi\) |
−0.0142486 | + | 0.999898i | \(0.504536\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −28.0357 | − | 31.7461i | −1.07591 | − | 1.21831i | ||||
\(680\) | −12.9709 | − | 24.5773i | −0.497410 | − | 0.942495i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −12.5294 | + | 33.1132i | −0.479774 | + | 1.26797i | ||||
\(683\) | 8.29736 | + | 14.3714i | 0.317490 | + | 0.549908i | 0.979964 | − | 0.199177i | \(-0.0638268\pi\) |
−0.662474 | + | 0.749085i | \(0.730493\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 17.7013 | 0.676333 | ||||||||
\(686\) | −18.0688 | − | 18.9610i | −0.689869 | − | 0.723935i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.7423 | − | 14.2051i | −0.409546 | − | 0.541563i | ||||
\(689\) | −23.7857 | + | 13.7327i | −0.906162 | + | 0.523173i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.8016 | + | 8.54571i | 0.563079 | + | 0.325094i | 0.754381 | − | 0.656437i | \(-0.227937\pi\) |
−0.191301 | + | 0.981531i | \(0.561271\pi\) | |||||||
\(692\) | −40.4247 | − | 8.18864i | −1.53672 | − | 0.311286i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.37979 | + | 4.39929i | −0.204214 | + | 0.166995i | ||||
\(695\) | −15.6546 | + | 27.1146i | −0.593814 | + | 1.02852i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.34017 | + | 12.7135i | 0.278029 | + | 0.481560i | ||||
\(698\) | 2.78786 | + | 17.0723i | 0.105522 | + | 0.646194i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.000593125 | 12.3428i | −2.24180e−5 | 0.466513i | ||||||
\(701\) | 39.1536i | 1.47881i | 0.673260 | + | 0.739406i | \(0.264894\pi\) | ||||
−0.673260 | + | 0.739406i | \(0.735106\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 48.4896 | − | 27.9955i | 1.82882 | − | 1.05587i | ||||
\(704\) | 41.6108 | + | 3.16786i | 1.56827 | + | 0.119393i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.4116 | − | 12.7321i | −0.391846 | − | 0.479178i | ||||
\(707\) | 0.771938 | + | 0.259060i | 0.0290317 | + | 0.00974294i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.35273 | + | 4.07505i | −0.0883588 | + | 0.153042i | −0.906818 | − | 0.421523i | \(-0.861496\pi\) |
0.818459 | + | 0.574565i | \(0.194829\pi\) | |||||||
\(710\) | 2.70422 | − | 7.14685i | 0.101487 | − | 0.268216i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.451537 | − | 11.8793i | 0.0169221 | − | 0.445197i | ||||
\(713\) | − | 28.1364i | − | 1.05371i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 49.7365i | − | 1.86004i | ||||||
\(716\) | −2.83155 | − | 2.50085i | −0.105820 | − | 0.0934610i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −26.9668 | − | 10.2037i | −1.00639 | − | 0.380797i | ||||
\(719\) | −16.1702 | + | 28.0077i | −0.603048 | + | 1.04451i | 0.389309 | + | 0.921107i | \(0.372714\pi\) |
−0.992357 | + | 0.123402i | \(0.960619\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.00783 | + | 9.91448i | 0.0747756 | + | 0.369235i | ||||
\(722\) | 2.69037 | − | 2.20004i | 0.100125 | − | 0.0818769i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.68225 | + | 0.564468i | −0.0625204 | + | 0.0209783i | ||||
\(725\) | 14.3292 | − | 8.27297i | 0.532173 | − | 0.307250i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.8055i | 0.771632i | 0.922576 | + | 0.385816i | \(0.126080\pi\) | ||||
−0.922576 | + | 0.385816i | \(0.873920\pi\) | |||||||
\(728\) | 9.32603 | − | 24.6438i | 0.345646 | − | 0.913358i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 36.8717 | − | 6.02107i | 1.36468 | − | 0.222850i | ||||
\(731\) | 8.07754 | + | 13.9907i | 0.298759 | + | 0.517465i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.7829 | + | 27.3369i | −0.582956 | + | 1.00971i | 0.412170 | + | 0.911107i | \(0.364771\pi\) |
−0.995127 | + | 0.0986034i | \(0.968562\pi\) | |||||||
\(734\) | 6.68183 | + | 8.17104i | 0.246631 | + | 0.301599i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −31.8196 | + | 9.34814i | −1.17289 | + | 0.344577i | ||||
\(737\) | −11.5786 | − | 6.68489i | −0.426502 | − | 0.246241i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −43.3475 | + | 25.0267i | −1.59456 | + | 0.920622i | −0.602055 | + | 0.798454i | \(0.705651\pi\) |
−0.992509 | + | 0.122168i | \(0.961015\pi\) | |||||||
\(740\) | −43.3344 | + | 49.0648i | −1.59300 | + | 1.80366i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.70507 | − | 28.8041i | 0.172728 | − | 1.05743i | ||||
\(743\) | 17.7020 | 0.649423 | 0.324711 | − | 0.945813i | \(-0.394733\pi\) | ||||
0.324711 | + | 0.945813i | \(0.394733\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.4750 | + | 18.1433i | 0.383775 | + | 0.664717i | ||||
\(746\) | −20.0506 | − | 7.58672i | −0.734104 | − | 0.277770i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −37.1009 | − | 7.51536i | −1.35654 | − | 0.274789i | ||||
\(749\) | −3.88447 | + | 0.786665i | −0.141936 | + | 0.0287441i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.7788 | − | 10.8420i | −0.685249 | − | 0.395629i | 0.116581 | − | 0.993181i | \(-0.462807\pi\) |
−0.801830 | + | 0.597552i | \(0.796140\pi\) | |||||||
\(752\) | 4.73368 | + | 38.0171i | 0.172619 | + | 1.38634i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −34.8606 | + | 5.69265i | −1.26955 | + | 0.207314i | ||||
\(755\) | −6.30380 | −0.229419 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.03995 | 0.292217 | 0.146108 | − | 0.989269i | \(-0.453325\pi\) | ||||
0.146108 | + | 0.989269i | \(0.453325\pi\) | |||||||
\(758\) | 5.87763 | − | 0.959803i | 0.213485 | − | 0.0348616i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −18.8933 | + | 30.0291i | −0.685334 | + | 1.08927i | ||||
\(761\) | 17.8621 | + | 10.3127i | 0.647502 | + | 0.373836i | 0.787499 | − | 0.616316i | \(-0.211376\pi\) |
−0.139996 | + | 0.990152i | \(0.544709\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.72160 | − | 23.0086i | 0.279541 | − | 0.832967i | ||||
\(764\) | 7.33260 | − | 36.1987i | 0.265284 | − | 1.30962i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −21.8060 | − | 8.25095i | −0.787884 | − | 0.298119i | ||||
\(767\) | 2.02459 | + | 3.50669i | 0.0731037 | + | 0.126619i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.3179 | 0.372074 | 0.186037 | − | 0.982543i | \(-0.440436\pi\) | ||||
0.186037 | + | 0.982543i | \(0.440436\pi\) | |||||||
\(770\) | 40.9125 | + | 33.4593i | 1.47438 | + | 1.20579i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −22.1407 | − | 19.5548i | −0.796861 | − | 0.703793i | ||||
\(773\) | 32.6161 | − | 18.8309i | 1.17312 | − | 0.677302i | 0.218708 | − | 0.975790i | \(-0.429816\pi\) |
0.954413 | + | 0.298489i | \(0.0964826\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.69472 | + | 5.59725i | 0.348244 | + | 0.201059i | ||||
\(776\) | 21.1332 | + | 40.0433i | 0.758637 | + | 1.43747i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.86213 | + | 4.72291i | 0.138464 | + | 0.169324i | ||||
\(779\) | 9.37086 | − | 16.2308i | 0.335746 | − | 0.581529i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.20437 | − | 9.01423i | −0.186227 | − | 0.322555i | ||||
\(782\) | 29.6902 | − | 4.84834i | 1.06172 | − | 0.173376i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 13.9977 | + | 24.2501i | 0.499917 | + | 0.866073i | ||||
\(785\) | − | 11.8956i | − | 0.424571i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.15052 | − | 2.39631i | 0.147950 | − | 0.0854191i | −0.424197 | − | 0.905570i | \(-0.639444\pi\) |
0.572148 | + | 0.820151i | \(0.306110\pi\) | |||||||
\(788\) | −7.80053 | − | 23.2475i | −0.277882 | − | 0.828158i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −21.7443 | + | 17.7813i | −0.773628 | + | 0.632630i | ||||
\(791\) | −22.6953 | + | 20.0427i | −0.806952 | + | 0.712637i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.93491 | + | 10.2796i | −0.210755 | + | 0.365038i | ||||
\(794\) | 15.3047 | + | 5.79096i | 0.543142 | + | 0.205514i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −15.0240 | + | 17.0107i | −0.532510 | + | 0.602928i | ||||
\(797\) | 20.5153i | 0.726689i | 0.931655 | + | 0.363345i | \(0.118365\pi\) | ||||
−0.931655 | + | 0.363345i | \(0.881635\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 34.7517i | − | 1.22943i | ||||||
\(800\) | 3.10895 | − | 12.8235i | 0.109918 | − | 0.453379i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.89323 | − | 5.00353i | 0.0668523 | − | 0.176681i | ||||
\(803\) | 25.4452 | − | 44.0724i | 0.897943 | − | 1.55528i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −39.8198 | − | 13.3634i | −1.40346 | − | 0.470998i | ||||
\(806\) | −15.1283 | − | 18.5000i | −0.532872 | − | 0.651636i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.736772 | − | 0.463553i | −0.0259196 | − | 0.0163077i | ||||
\(809\) | 44.0885 | − | 25.4545i | 1.55007 | − | 0.894933i | 0.551934 | − | 0.833888i | \(-0.313890\pi\) |
0.998135 | − | 0.0610447i | \(-0.0194432\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 53.2904i | − | 1.87128i | −0.352959 | − | 0.935639i | \(-0.614824\pi\) | ||
0.352959 | − | 0.935639i | \(-0.385176\pi\) | |||||||
\(812\) | 18.7691 | − | 32.5054i | 0.658666 | − | 1.14072i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 14.3708 | + | 88.0036i | 0.503695 | + | 3.08452i | ||||
\(815\) | −11.4582 | − | 19.8461i | −0.401362 | − | 0.695179i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.3122 | − | 17.8613i | 0.360779 | − | 0.624888i | ||||
\(818\) | −33.8946 | + | 27.7171i | −1.18510 | + | 0.969106i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.35022 | + | 21.4756i | −0.151916 | + | 0.749961i | ||||
\(821\) | −18.7916 | − | 10.8493i | −0.655832 | − | 0.378645i | 0.134855 | − | 0.990865i | \(-0.456943\pi\) |
−0.790687 | + | 0.612221i | \(0.790276\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.7199 | − | 10.2306i | 0.617676 | − | 0.356616i | −0.158287 | − | 0.987393i | \(-0.550597\pi\) |
0.775964 | + | 0.630777i | \(0.217264\pi\) | |||||||
\(824\) | 0.410754 | − | 10.8064i | 0.0143093 | − | 0.376458i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.24655 | − | 0.693661i | −0.147756 | − | 0.0241356i | ||||
\(827\) | 44.9844 | 1.56426 | 0.782131 | − | 0.623114i | \(-0.214133\pi\) | ||||
0.782131 | + | 0.623114i | \(0.214133\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −17.2166 | − | 29.8200i | −0.597957 | − | 1.03569i | −0.993122 | − | 0.117082i | \(-0.962646\pi\) |
0.395165 | − | 0.918610i | \(-0.370687\pi\) | |||||||
\(830\) | −2.85232 | + | 7.53826i | −0.0990054 | + | 0.261657i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −15.8955 | + | 23.2552i | −0.551078 | + | 0.806230i | ||||
\(833\) | −9.88202 | − | 23.3976i | −0.342392 | − | 0.810678i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.53276 | − | 2.61699i | −0.156863 | − | 0.0905647i | ||||
\(836\) | 15.3734 | + | 45.8166i | 0.531701 | + | 1.58460i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2.89359 | + | 17.7197i | 0.0999574 | + | 0.612118i | ||||
\(839\) | 18.4672 | 0.637558 | 0.318779 | − | 0.947829i | \(-0.396727\pi\) | ||||
0.318779 | + | 0.947829i | \(0.396727\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.3171 | −0.735073 | ||||||||
\(842\) | 8.49991 | + | 52.0516i | 0.292926 | + | 1.79382i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.7001 | + | 40.8295i | 0.471576 | + | 1.40541i | ||||
\(845\) | −1.41168 | − | 0.815035i | −0.0485633 | − | 0.0280380i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 42.0365 | − | 8.51303i | 1.44439 | − | 0.292511i | ||||
\(848\) | −12.1423 | + | 28.7414i | −0.416967 | + | 0.986984i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.23581 | + | 11.1946i | −0.145287 | + | 0.383972i | ||||
\(851\) | −35.4320 | − | 61.3700i | −1.21459 | − | 2.10374i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 19.8472 | 0.679554 | 0.339777 | − | 0.940506i | \(-0.389648\pi\) | ||||
0.339777 | + | 0.940506i | \(0.389648\pi\) | |||||||
\(854\) | −4.46322 | − | 11.7974i | −0.152728 | − | 0.403697i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.23392 | + | 0.160933i | 0.144712 | + | 0.00550056i | ||||
\(857\) | −22.4524 | + | 12.9629i | −0.766959 | + | 0.442804i | −0.831789 | − | 0.555092i | \(-0.812683\pi\) |
0.0648294 | + | 0.997896i | \(0.479350\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.68624 | + | 5.01500i | 0.296371 | + | 0.171110i | 0.640811 | − | 0.767698i | \(-0.278598\pi\) |
−0.344441 | + | 0.938808i | \(0.611931\pi\) | |||||||
\(860\) | −4.78723 | + | 23.6330i | −0.163243 | + | 0.805879i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −18.7025 | + | 15.2938i | −0.637008 | + | 0.520910i | ||||
\(863\) | 11.5277 | − | 19.9665i | 0.392407 | − | 0.679668i | −0.600360 | − | 0.799730i | \(-0.704976\pi\) |
0.992766 | + | 0.120062i | \(0.0383092\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 27.9220 | + | 48.3624i | 0.949378 | + | 1.64437i | ||||
\(866\) | −0.852291 | − | 5.21925i | −0.0289620 | − | 0.177357i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 25.3951 | + | 0.00122035i | 0.861966 | + | 4.14213e-5i | ||||
\(869\) | 38.2616i | 1.29794i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.81556 | − | 4.51232i | 0.264820 | − | 0.152894i | ||||
\(872\) | −13.8168 | + | 21.9604i | −0.467896 | + | 0.743674i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −24.3125 | − | 29.7311i | −0.822381 | − | 1.00567i | ||||
\(875\) | −14.3243 | + | 12.6501i | −0.484249 | + | 0.427651i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.6586 | + | 32.3176i | −0.630055 | + | 1.09129i | 0.357485 | + | 0.933919i | \(0.383634\pi\) |
−0.987540 | + | 0.157368i | \(0.949699\pi\) | |||||||
\(878\) | −17.6255 | + | 46.5816i | −0.594832 | + | 1.57205i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −34.0802 | − | 45.0660i | −1.14884 | − | 1.51917i | ||||
\(881\) | − | 39.5671i | − | 1.33305i | −0.745483 | − | 0.666524i | \(-0.767781\pi\) | ||
0.745483 | − | 0.666524i | \(-0.232219\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 43.8816i | − | 1.47673i | −0.674400 | − | 0.738366i | \(-0.735598\pi\) | ||
0.674400 | − | 0.738366i | \(-0.264402\pi\) | |||||||
\(884\) | 16.9149 | − | 19.1516i | 0.568908 | − | 0.644139i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −26.1194 | − | 9.88304i | −0.877499 | − | 0.332027i | ||||
\(887\) | −17.1379 | + | 29.6837i | −0.575435 | + | 0.996683i | 0.420559 | + | 0.907265i | \(0.361834\pi\) |
−0.995994 | + | 0.0894175i | \(0.971499\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 32.0024 | − | 28.2620i | 1.07332 | − | 0.947877i | ||||
\(890\) | −12.4599 | + | 10.1890i | −0.417656 | + | 0.341536i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −13.2549 | − | 39.5028i | −0.443807 | − | 1.32265i | ||||
\(893\) | −38.4220 | + | 22.1829i | −1.28574 | + | 0.742324i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.11492i | 0.170973i | ||||||||
\(896\) | −8.43600 | − | 28.7199i | −0.281827 | − | 0.959465i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −15.9070 | + | 2.59758i | −0.530824 | + | 0.0866823i | ||||
\(899\) | −17.0215 | − | 29.4822i | −0.567700 | − | 0.983286i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.1513 | − | 24.5107i | 0.471447 | − | 0.816569i | ||||
\(902\) | 18.8944 | + | 23.1055i | 0.629116 | + | 0.769330i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 28.6270 | − | 15.1081i | 0.952118 | − | 0.502488i | ||||
\(905\) | 2.08059 | + | 1.20123i | 0.0691613 | + | 0.0399303i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 40.3297 | − | 23.2844i | 1.33913 | − | 0.773145i | 0.352449 | − | 0.935831i | \(-0.385349\pi\) |
0.986678 | + | 0.162686i | \(0.0520157\pi\) | |||||||
\(908\) | −30.7584 | − | 27.1661i | −1.02075 | − | 0.901538i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −33.3673 | + | 12.6236i | −1.10611 | + | 0.418470i | ||||
\(911\) | 14.5617 | 0.482450 | 0.241225 | − | 0.970469i | \(-0.422451\pi\) | ||||
0.241225 | + | 0.970469i | \(0.422451\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.48940 | + | 9.50791i | 0.181672 | + | 0.314666i | ||||
\(914\) | −6.14876 | − | 2.32656i | −0.203383 | − | 0.0769558i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −7.18019 | + | 35.4463i | −0.237240 | + | 1.17118i | ||||
\(917\) | 27.1884 | − | 5.50607i | 0.897842 | − | 0.181827i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 24.1621 | + | 13.9500i | 0.797033 | + | 0.460167i | 0.842433 | − | 0.538802i | \(-0.181123\pi\) |
−0.0453999 | + | 0.998969i | \(0.514456\pi\) | |||||||
\(920\) | 38.0058 | + | 23.9120i | 1.25301 | + | 0.788356i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 10.7010 | − | 1.74745i | 0.352418 | − | 0.0575490i | ||||
\(923\) | 7.02592 | 0.231261 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.1944 | 0.927025 | ||||||||
\(926\) | −24.4263 | + | 3.98875i | −0.802697 | + | 0.131078i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −27.6863 | + | 29.0451i | −0.908847 | + | 0.953451i | ||||
\(929\) | 21.2485 | + | 12.2678i | 0.697141 | + | 0.402494i | 0.806282 | − | 0.591532i | \(-0.201477\pi\) |
−0.109141 | + | 0.994026i | \(0.534810\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −19.5608 | + | 25.8610i | −0.641078 | + | 0.847561i | ||||
\(932\) | −13.1544 | − | 2.66462i | −0.430886 | − | 0.0872824i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 28.0021 | + | 10.5954i | 0.916256 | + | 0.346692i | ||||
\(935\) | 25.6262 | + | 44.3860i | 0.838068 | + | 1.45158i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −21.2877 | −0.695439 | −0.347719 | − | 0.937599i | \(-0.613044\pi\) | ||||
−0.347719 | + | 0.937599i | \(0.613044\pi\) | |||||||
\(938\) | −1.54600 | + | 9.46453i | −0.0504788 | + | 0.309028i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 34.3371 | − | 38.8777i | 1.11995 | − | 1.26805i | ||||
\(941\) | 12.0167 | − | 6.93786i | 0.391734 | − | 0.226168i | −0.291177 | − | 0.956669i | \(-0.594047\pi\) |
0.682911 | + | 0.730501i | \(0.260714\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −20.5422 | − | 11.8601i | −0.668947 | − | 0.386217i | ||||
\(944\) | 4.23731 | + | 1.79012i | 0.137913 | + | 0.0582633i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 20.7925 | + | 25.4267i | 0.676023 | + | 0.826692i | ||||
\(947\) | −7.71469 | + | 13.3622i | −0.250694 | + | 0.434214i | −0.963717 | − | 0.266926i | \(-0.913992\pi\) |
0.713023 | + | 0.701140i | \(0.247325\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.1756 | + | 29.7490i | 0.557543 | + | 0.965693i | ||||
\(950\) | 15.0808 | − | 2.46265i | 0.489284 | − | 0.0798990i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.37469 | + | 26.7978i | 0.141785 | + | 0.868521i | ||||
\(953\) | 5.54532i | 0.179630i | 0.995958 | + | 0.0898152i | \(0.0286276\pi\) | ||||
−0.995958 | + | 0.0898152i | \(0.971372\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −43.3066 | + | 25.0031i | −1.40137 | + | 0.809080i | ||||
\(956\) | −12.7376 | + | 4.27400i | −0.411962 | + | 0.138231i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1.19495 | + | 0.977164i | −0.0386071 | + | 0.0315707i | ||||
\(959\) | −16.3965 | − | 5.50262i | −0.529472 | − | 0.177689i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.98372 | + | 6.90001i | −0.128507 | + | 0.222581i | ||||
\(962\) | −56.2943 | − | 21.3006i | −1.81500 | − | 0.686759i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 37.9610 | + | 33.5274i | 1.22264 | + | 1.07985i | ||||
\(965\) | 39.9950i | 1.28748i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 55.2834i | 1.77779i | 0.458107 | + | 0.888897i | \(0.348528\pi\) | ||||
−0.458107 | + | 0.888897i | \(0.651472\pi\) | |||||||
\(968\) | −45.8181 | − | 1.74156i | −1.47265 | − | 0.0559759i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 21.6948 | − | 57.3360i | 0.696577 | − | 1.84095i | ||||
\(971\) | −16.1692 | + | 28.0059i | −0.518894 | + | 0.898750i | 0.480865 | + | 0.876795i | \(0.340323\pi\) |
−0.999759 | + | 0.0219559i | \(0.993011\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.9295 | − | 20.2496i | 0.735087 | − | 0.649172i | ||||
\(974\) | 30.4805 | + | 37.2739i | 0.976659 | + | 1.19433i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.66612 | + | 13.3810i | 0.0533313 | + | 0.428314i | ||||
\(977\) | 2.05622 | − | 1.18716i | 0.0657842 | − | 0.0379805i | −0.466747 | − | 0.884391i | \(-0.654574\pi\) |
0.532531 | + | 0.846410i | \(0.321241\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.9246i | 0.700714i | ||||||||
\(980\) | 12.0632 | − | 35.9397i | 0.385343 | − | 1.14805i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −5.11240 | − | 31.3072i | −0.163143 | − | 0.999054i | ||||
\(983\) | −16.8532 | − | 29.1907i | −0.537535 | − | 0.931038i | −0.999036 | − | 0.0438983i | \(-0.986022\pi\) |
0.461501 | − | 0.887140i | \(-0.347311\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −16.6001 | + | 28.7523i | −0.528924 | + | 0.916123i | ||||
\(986\) | 28.1773 | − | 23.0418i | 0.897347 | − | 0.733801i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −31.9715 | − | 6.47632i | −1.01715 | − | 0.206039i | ||||
\(989\) | −22.6058 | − | 13.0515i | −0.718824 | − | 0.415013i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 26.2104 | − | 15.1326i | 0.832602 | − | 0.480703i | −0.0221406 | − | 0.999755i | \(-0.507048\pi\) |
0.854743 | + | 0.519052i | \(0.173715\pi\) | |||||||
\(992\) | −26.3842 | − | 6.39664i | −0.837698 | − | 0.203093i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.72655 | + | 5.77942i | −0.149917 | + | 0.183312i | ||||
\(995\) | 30.7282 | 0.974148 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.89414 | − | 15.4051i | −0.281680 | − | 0.487885i | 0.690118 | − | 0.723697i | \(-0.257558\pi\) |
−0.971799 | + | 0.235812i | \(0.924225\pi\) | |||||||
\(998\) | 13.6875 | − | 36.1739i | 0.433269 | − | 1.14507i | ||||
\(999\) | 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 | 756.2.be.e.107.15 | yes | 64 | |
3.2 | odd | 2 | inner | 756.2.be.e.107.18 | yes | 64 | |
4.3 | odd | 2 | inner | 756.2.be.e.107.4 | ✓ | 64 | |
7.4 | even | 3 | inner | 756.2.be.e.431.29 | yes | 64 | |
12.11 | even | 2 | inner | 756.2.be.e.107.29 | yes | 64 | |
21.11 | odd | 6 | inner | 756.2.be.e.431.4 | yes | 64 | |
28.11 | odd | 6 | inner | 756.2.be.e.431.18 | yes | 64 | |
84.11 | even | 6 | inner | 756.2.be.e.431.15 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.be.e.107.4 | ✓ | 64 | 4.3 | odd | 2 | inner | |
756.2.be.e.107.15 | yes | 64 | 1.1 | even | 1 | trivial | |
756.2.be.e.107.18 | yes | 64 | 3.2 | odd | 2 | inner | |
756.2.be.e.107.29 | yes | 64 | 12.11 | even | 2 | inner | |
756.2.be.e.431.4 | yes | 64 | 21.11 | odd | 6 | inner | |
756.2.be.e.431.15 | yes | 64 | 84.11 | even | 6 | inner | |
756.2.be.e.431.18 | yes | 64 | 28.11 | odd | 6 | inner | |
756.2.be.e.431.29 | yes | 64 | 7.4 | even | 3 | inner |