Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(41,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.m (of order \(11\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Character | \(\chi\) | \(=\) | 460.121 |
Dual form | 460.2.m.a.441.1 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.73464 | − | 0.802964i | −1.57885 | − | 0.463591i | −0.629286 | − | 0.777174i | \(-0.716653\pi\) |
−0.949561 | + | 0.313582i | \(0.898471\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.841254 | − | 0.540641i | 0.376220 | − | 0.241782i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.359196 | + | 2.49826i | −0.135763 | + | 0.944254i | 0.802085 | + | 0.597209i | \(0.203724\pi\) |
−0.937849 | + | 0.347044i | \(0.887185\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.30976 | + | 2.76972i | 1.43659 | + | 0.923239i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.78965 | − | 3.91878i | −0.539598 | − | 1.18156i | −0.961473 | − | 0.274901i | \(-0.911355\pi\) |
0.421874 | − | 0.906654i | \(-0.361372\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.846960 | + | 5.89073i | 0.234904 | + | 1.63380i | 0.676402 | + | 0.736533i | \(0.263538\pi\) |
−0.441497 | + | 0.897263i | \(0.645553\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.73464 | + | 0.802964i | −0.706082 | + | 0.207324i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.87167 | − | 4.46815i | 0.939018 | − | 1.08369i | −0.0573343 | − | 0.998355i | \(-0.518260\pi\) |
0.996353 | − | 0.0853300i | \(-0.0271945\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.652347 | − | 0.752849i | −0.149659 | − | 0.172715i | 0.675970 | − | 0.736929i | \(-0.263725\pi\) |
−0.825629 | + | 0.564214i | \(0.809179\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.98828 | − | 6.54343i | 0.652097 | − | 1.42789i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.71276 | + | 0.888766i | 0.982678 | + | 0.185321i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.415415 | − | 0.909632i | 0.0830830 | − | 0.181926i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.96244 | − | 4.57291i | −0.762573 | − | 0.880056i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.29992 | − | 7.27049i | 1.16986 | − | 1.35010i | 0.245127 | − | 0.969491i | \(-0.421170\pi\) |
0.924738 | − | 0.380605i | \(-0.124284\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 10.1637 | − | 2.98432i | 1.82545 | − | 0.535999i | 0.825836 | − | 0.563911i | \(-0.190704\pi\) |
0.999610 | + | 0.0279113i | \(0.00888559\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.74741 | + | 12.1535i | 0.304184 | + | 2.11565i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.04849 | + | 2.29587i | 0.177227 | + | 0.388072i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.30670 | − | 1.48242i | −0.379218 | − | 0.243709i | 0.337120 | − | 0.941462i | \(-0.390547\pi\) |
−0.716339 | + | 0.697753i | \(0.754183\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.41391 | − | 16.7891i | 0.386535 | − | 2.68841i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.00858 | + | 1.29084i | −0.313688 | + | 0.201595i | −0.688005 | − | 0.725706i | \(-0.741513\pi\) |
0.374317 | + | 0.927301i | \(0.377877\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.14130 | − | 1.50962i | −0.784040 | − | 0.230215i | −0.134875 | − | 0.990863i | \(-0.543063\pi\) |
−0.649165 | + | 0.760648i | \(0.724882\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.12303 | 0.763696 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.36077 | 0.927814 | 0.463907 | − | 0.885884i | \(-0.346447\pi\) | ||||
0.463907 | + | 0.885884i | \(0.346447\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.604167 | + | 0.177399i | 0.0863096 | + | 0.0253428i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −14.1754 | + | 9.10998i | −1.98495 | + | 1.27565i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.21938 | + | 8.48099i | −0.167495 | + | 1.16495i | 0.716544 | + | 0.697542i | \(0.245723\pi\) |
−0.884039 | + | 0.467413i | \(0.845186\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.62420 | − | 2.32913i | −0.488686 | − | 0.314060i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.17943 | + | 2.58258i | 0.156219 | + | 0.342072i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.0744314 | + | 0.517682i | 0.00969014 | + | 0.0673964i | 0.994093 | − | 0.108534i | \(-0.0346157\pi\) |
−0.984403 | + | 0.175931i | \(0.943707\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.06103 | − | 1.19243i | 0.519962 | − | 0.152675i | −0.0112123 | − | 0.999937i | \(-0.503569\pi\) |
0.531174 | + | 0.847262i | \(0.321751\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8.46752 | + | 9.77204i | −1.06681 | + | 1.23116i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.89728 | + | 4.49770i | 0.483398 | + | 0.557871i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.62149 | − | 5.74027i | 0.320266 | − | 0.701285i | −0.679200 | − | 0.733953i | \(-0.737673\pi\) |
0.999466 | + | 0.0326681i | \(0.0104004\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −12.1741 | − | 6.21463i | −1.46559 | − | 0.748154i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.27655 | + | 9.36433i | −0.507533 | + | 1.11134i | 0.466414 | + | 0.884566i | \(0.345546\pi\) |
−0.973947 | + | 0.226775i | \(0.927182\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.27081 | − | 1.46660i | −0.148737 | − | 0.171652i | 0.676492 | − | 0.736450i | \(-0.263499\pi\) |
−0.825229 | + | 0.564798i | \(0.808954\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.86641 | + | 2.15396i | −0.215515 | + | 0.248717i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 10.4330 | − | 3.06339i | 1.18895 | − | 0.349106i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.19285 | + | 15.2516i | 0.246714 | + | 1.71594i | 0.616953 | + | 0.787000i | \(0.288367\pi\) |
−0.370239 | + | 0.928937i | \(0.620724\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.779451 | + | 1.70676i | 0.0866057 | + | 0.189640i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.04411 | + | 1.31367i | 0.224370 | + | 0.144194i | 0.647997 | − | 0.761643i | \(-0.275607\pi\) |
−0.423627 | + | 0.905837i | \(0.639243\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.841395 | − | 5.85203i | 0.0912621 | − | 0.634742i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −23.0660 | + | 14.8236i | −2.47293 | + | 1.58926i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.32967 | − | 2.15219i | −0.776944 | − | 0.228131i | −0.130863 | − | 0.991400i | \(-0.541775\pi\) |
−0.646081 | + | 0.763269i | \(0.723593\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.0208 | −1.57461 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −30.1903 | −3.13059 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.955810 | − | 0.280651i | −0.0980640 | − | 0.0287942i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.48807 | − | 6.09761i | 0.963368 | − | 0.619119i | 0.0384396 | − | 0.999261i | \(-0.487761\pi\) |
0.924928 | + | 0.380142i | \(0.124125\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.14095 | − | 21.8458i | 0.315678 | − | 2.19559i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.77275 | + | 6.28056i | 0.972425 | + | 0.624939i | 0.927410 | − | 0.374047i | \(-0.122030\pi\) |
0.0450150 | + | 0.998986i | \(0.485666\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.18038 | − | 11.3435i | −0.510438 | − | 1.11770i | −0.972934 | − | 0.231082i | \(-0.925773\pi\) |
0.462496 | − | 0.886621i | \(-0.346954\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.02374 | − | 7.12027i | −0.0999069 | − | 0.694867i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.67466 | + | 2.25348i | −0.741937 | + | 0.217853i | −0.630792 | − | 0.775952i | \(-0.717270\pi\) |
−0.111145 | + | 0.993804i | \(0.535452\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.298283 | − | 0.344237i | 0.0285703 | − | 0.0329719i | −0.741285 | − | 0.671191i | \(-0.765783\pi\) |
0.769855 | + | 0.638219i | \(0.220329\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.11766 | + | 5.90609i | 0.485747 | + | 0.560581i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.93900 | + | 6.43552i | −0.276478 | + | 0.605403i | −0.996028 | − | 0.0890378i | \(-0.971621\pi\) |
0.719550 | + | 0.694441i | \(0.244348\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.44513 | − | 1.80023i | 0.414510 | − | 0.167872i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −12.6655 | + | 27.7335i | −1.17092 | + | 2.56396i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 9.77191 | + | 11.2774i | 0.895789 | + | 1.03380i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.95051 | + | 5.71319i | −0.450046 | + | 0.519381i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 6.52925 | − | 1.91716i | 0.588723 | − | 0.172865i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.142315 | − | 0.989821i | −0.0127290 | − | 0.0885323i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.74377 | + | 8.19770i | 0.332205 | + | 0.727428i | 0.999855 | − | 0.0170475i | \(-0.00542666\pi\) |
−0.667649 | + | 0.744476i | \(0.732699\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 12.8474 | + | 8.25655i | 1.13115 | + | 0.726949i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.45265 | − | 17.0585i | 0.214289 | − | 1.49041i | −0.544328 | − | 0.838873i | \(-0.683215\pi\) |
0.758616 | − | 0.651538i | \(-0.225876\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.11513 | − | 1.35931i | 0.183405 | − | 0.117867i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.80572 | − | 1.70471i | −0.499677 | − | 0.146718i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 3.51894 | 0.300644 | 0.150322 | − | 0.988637i | \(-0.451969\pi\) | ||||
0.150322 | + | 0.988637i | \(0.451969\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.5068 | 0.891172 | 0.445586 | − | 0.895239i | \(-0.352995\pi\) | ||||
0.445586 | + | 0.895239i | \(0.352995\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −17.3944 | − | 5.10747i | −1.46488 | − | 0.430126i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 21.5687 | − | 13.8614i | 1.80367 | − | 1.15915i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.36910 | − | 9.52232i | 0.113698 | − | 0.790785i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.50974 | − | 0.970248i | −0.124521 | − | 0.0800247i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.297445 | − | 0.651314i | −0.0243676 | − | 0.0533577i | 0.897057 | − | 0.441915i | \(-0.145701\pi\) |
−0.921424 | + | 0.388557i | \(0.872974\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.532949 | + | 3.70674i | 0.0433708 | + | 0.301650i | 0.999948 | + | 0.0101722i | \(0.00323796\pi\) |
−0.956578 | + | 0.291478i | \(0.905853\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 29.0615 | − | 8.53323i | 2.34948 | − | 0.689870i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.93677 | − | 8.00545i | 0.557174 | − | 0.643014i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.25327 | − | 10.6788i | −0.738491 | − | 0.852264i | 0.254909 | − | 0.966965i | \(-0.417955\pi\) |
−0.993400 | + | 0.114701i | \(0.963409\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 10.1445 | − | 22.2134i | 0.804512 | − | 1.76164i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.91317 | + | 11.4545i | −0.308401 | + | 0.902738i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.40239 | + | 14.0193i | −0.501474 | + | 1.09808i | 0.474513 | + | 0.880248i | \(0.342624\pi\) |
−0.975987 | + | 0.217827i | \(0.930103\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 8.04068 | + | 9.27944i | 0.625966 | + | 0.722403i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 10.2414 | − | 11.8192i | 0.792503 | − | 0.914598i | −0.205442 | − | 0.978669i | \(-0.565863\pi\) |
0.997945 | + | 0.0640716i | \(0.0204086\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −21.5100 | + | 6.31590i | −1.65461 | + | 0.485839i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.726284 | − | 5.05142i | −0.0555403 | − | 0.386291i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.840143 | − | 1.83966i | −0.0638749 | − | 0.139867i | 0.875002 | − | 0.484119i | \(-0.160860\pi\) |
−0.938877 | + | 0.344252i | \(0.888132\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.12328 | + | 1.36455i | 0.160505 | + | 0.103150i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.212136 | − | 1.47544i | 0.0159451 | − | 0.110901i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 10.2359 | − | 6.57819i | 0.765064 | − | 0.491677i | −0.0989822 | − | 0.995089i | \(-0.531559\pi\) |
0.864046 | + | 0.503412i | \(0.167922\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.60417 | + | 1.93916i | 0.490884 | + | 0.144137i | 0.517801 | − | 0.855501i | \(-0.326751\pi\) |
−0.0269168 | + | 0.999638i | \(0.508569\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.0630 | −0.891719 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.74197 | −0.201594 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −24.4386 | − | 7.17582i | −1.78713 | − | 0.524748i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.8476 | − | 8.25665i | 0.934525 | − | 0.600583i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.31848 | + | 16.1254i | −0.167759 | + | 1.16679i | 0.715743 | + | 0.698364i | \(0.246088\pi\) |
−0.883502 | + | 0.468427i | \(0.844821\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −20.1002 | − | 12.9176i | −1.44684 | − | 0.929830i | −0.999368 | − | 0.0355345i | \(-0.988687\pi\) |
−0.447476 | − | 0.894296i | \(-0.647677\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −7.04618 | − | 15.4290i | −0.504587 | − | 1.10489i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.423581 | − | 2.94607i | −0.0301789 | − | 0.209899i | 0.969152 | − | 0.246462i | \(-0.0792681\pi\) |
−0.999331 | + | 0.0365631i | \(0.988359\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.92191 | + | 0.857950i | −0.207129 | + | 0.0608184i | −0.383651 | − | 0.923478i | \(-0.625333\pi\) |
0.176522 | + | 0.984297i | \(0.443515\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −11.7781 | + | 13.5926i | −0.830761 | + | 0.958749i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 15.9007 | + | 18.3504i | 1.11601 | + | 1.28794i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.991848 | + | 2.17184i | −0.0692737 | + | 0.151688i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 17.8492 | + | 16.8834i | 1.24061 | + | 1.17348i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.78278 | + | 3.90373i | −0.123317 | + | 0.270027i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.86926 | + | 9.08161i | 0.541742 | + | 0.625203i | 0.958939 | − | 0.283613i | \(-0.0915330\pi\) |
−0.417197 | + | 0.908816i | \(0.636988\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 19.2140 | − | 22.1742i | 1.31652 | − | 1.51935i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −5.14130 | + | 1.50962i | −0.350633 | + | 0.102955i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.80486 | + | 26.4634i | 0.258291 | + | 1.79645i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.29760 | + | 5.03103i | 0.155257 | + | 0.339966i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 29.5998 | + | 19.0226i | 1.99110 | + | 1.27960i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.79550 | + | 19.4431i | −0.187200 | + | 1.30201i | 0.652014 | + | 0.758207i | \(0.273924\pi\) |
−0.839215 | + | 0.543800i | \(0.816985\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.30976 | − | 2.76972i | 0.287318 | − | 0.184648i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 8.06079 | + | 2.36686i | 0.535014 | + | 0.157094i | 0.538068 | − | 0.842901i | \(-0.319154\pi\) |
−0.00305477 | + | 0.999995i | \(0.500972\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −24.9867 | −1.65117 | −0.825583 | − | 0.564281i | \(-0.809154\pi\) | ||||
−0.825583 | + | 0.564281i | \(0.809154\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −30.9902 | −2.03901 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −16.3254 | − | 4.79357i | −1.06951 | − | 0.314038i | −0.300837 | − | 0.953675i | \(-0.597266\pi\) |
−0.768676 | + | 0.639638i | \(0.779084\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.35102 | − | 3.43889i | 0.349062 | − | 0.224329i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 6.24981 | − | 43.4684i | 0.405969 | − | 2.82358i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.6137 | − | 8.74898i | −0.880596 | − | 0.565925i | 0.0203806 | − | 0.999792i | \(-0.493512\pi\) |
−0.900977 | + | 0.433868i | \(0.857149\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.34248 | + | 2.93963i | 0.0864770 | + | 0.189358i | 0.947930 | − | 0.318480i | \(-0.103172\pi\) |
−0.861453 | + | 0.507838i | \(0.830445\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.82231 | + | 12.6744i | 0.116901 | + | 0.813066i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.604167 | − | 0.177399i | 0.0385988 | − | 0.0113336i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.88232 | − | 4.48043i | 0.247026 | − | 0.285083i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.53508 | − | 5.23376i | −0.287399 | − | 0.331676i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.37409 | − | 5.19853i | 0.149851 | − | 0.328128i | −0.819789 | − | 0.572666i | \(-0.805909\pi\) |
0.969640 | + | 0.244538i | \(0.0786364\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.95129 | − | 20.0588i | −0.311285 | − | 1.26109i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −6.99988 | + | 15.3276i | −0.438350 | + | 0.959852i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.98673 | − | 5.75499i | −0.311064 | − | 0.358987i | 0.578593 | − | 0.815616i | \(-0.303602\pi\) |
−0.889657 | + | 0.456630i | \(0.849056\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.53203 | − | 5.23025i | 0.281607 | − | 0.324992i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 47.2883 | − | 13.8851i | 2.92708 | − | 0.859467i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.23528 | − | 22.5019i | −0.199496 | − | 1.38752i | −0.805751 | − | 0.592254i | \(-0.798238\pi\) |
0.606255 | − | 0.795270i | \(-0.292671\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.55936 | + | 7.79392i | 0.218650 | + | 0.478776i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 18.3159 | + | 11.7709i | 1.12092 | + | 0.720369i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.60197 | − | 11.1420i | 0.0976739 | − | 0.679337i | −0.880879 | − | 0.473341i | \(-0.843048\pi\) |
0.978553 | − | 0.205995i | \(-0.0660432\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.29099 | − | 4.68563i | 0.442896 | − | 0.284632i | −0.300125 | − | 0.953900i | \(-0.597028\pi\) |
0.743021 | + | 0.669268i | \(0.233392\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 41.0766 | + | 12.0612i | 2.48607 | + | 0.729975i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.30809 | −0.259788 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.8841 | −1.01447 | −0.507234 | − | 0.861809i | \(-0.669332\pi\) | ||||
−0.507234 | + | 0.861809i | \(0.669332\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 52.0687 | + | 15.2887i | 3.11727 | + | 0.915313i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.26322 | + | 2.09715i | −0.194668 | + | 0.125105i | −0.634344 | − | 0.773051i | \(-0.718730\pi\) |
0.439676 | + | 0.898156i | \(0.355093\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.68462 | − | 25.6271i | 0.219028 | − | 1.52337i | −0.522611 | − | 0.852571i | \(-0.675042\pi\) |
0.741639 | − | 0.670800i | \(-0.234049\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.38845 | + | 1.53496i | 0.141479 | + | 0.0909233i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.50337 | − | 5.48163i | −0.147770 | − | 0.323570i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.55515 | − | 17.7714i | −0.150303 | − | 1.04538i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −30.8427 | + | 9.05622i | −1.80803 | + | 0.530885i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −19.1221 | + | 22.0681i | −1.11713 | + | 1.28923i | −0.164069 | + | 0.986449i | \(0.552462\pi\) |
−0.953059 | + | 0.302785i | \(0.902083\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.342495 | + | 0.395261i | 0.0199409 | + | 0.0230130i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −10.8288 | + | 23.7118i | −0.628352 | + | 1.37590i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.24397 | + | 28.5144i | −0.0719406 | + | 1.64903i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.61816 | − | 12.3020i | 0.323825 | − | 0.709078i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −21.6819 | − | 25.0223i | −1.24559 | − | 1.43749i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.77168 | − | 3.19869i | 0.158706 | − | 0.183157i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.5861 | − | 4.87013i | 0.946621 | − | 0.277953i | 0.228242 | − | 0.973604i | \(-0.426702\pi\) |
0.718380 | + | 0.695651i | \(0.244884\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.05811 | + | 35.1800i | 0.287746 | + | 2.00132i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.89650 | − | 4.15276i | −0.107541 | − | 0.235481i | 0.848209 | − | 0.529661i | \(-0.177681\pi\) |
−0.955750 | + | 0.294180i | \(0.904954\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 15.2531 | + | 9.80257i | 0.862156 | + | 0.554074i | 0.895344 | − | 0.445375i | \(-0.146930\pi\) |
−0.0331879 | + | 0.999449i | \(0.510566\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.84017 | + | 12.7987i | −0.103682 | + | 0.721122i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 21.7737 | − | 13.9931i | 1.22293 | − | 0.785932i | 0.240159 | − | 0.970734i | \(-0.422801\pi\) |
0.982776 | + | 0.184801i | \(0.0591642\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −39.7660 | − | 11.6764i | −2.22647 | − | 0.653751i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 22.7969 | 1.27240 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.88951 | −0.327701 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.71024 | + | 1.67668i | 0.316747 | + | 0.0930053i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.09211 | + | 0.701855i | −0.0603937 | + | 0.0388127i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.28476 | + | 15.8909i | −0.125963 | + | 0.876091i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.26161 | − | 3.38143i | −0.289204 | − | 0.185860i | 0.387992 | − | 0.921663i | \(-0.373169\pi\) |
−0.677196 | + | 0.735802i | \(0.736805\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −5.83542 | − | 12.7778i | −0.319779 | − | 0.700219i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.898083 | − | 6.24630i | −0.0490675 | − | 0.341272i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.29345 | + | 0.379790i | −0.0704585 | + | 0.0206885i | −0.316772 | − | 0.948502i | \(-0.602599\pi\) |
0.246313 | + | 0.969190i | \(0.420781\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 13.2046 | − | 15.2389i | 0.717176 | − | 0.827666i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −29.8842 | − | 34.4882i | −1.61832 | − | 1.86764i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.99961 | + | 17.5167i | −0.431939 | + | 0.945813i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −13.6014 | + | 1.35372i | −0.732273 | + | 0.0728816i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.450329 | − | 0.986082i | 0.0241749 | − | 0.0529357i | −0.897159 | − | 0.441707i | \(-0.854373\pi\) |
0.921334 | + | 0.388771i | \(0.127100\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.43401 | + | 6.27118i | 0.290876 | + | 0.335689i | 0.882314 | − | 0.470662i | \(-0.155985\pi\) |
−0.591438 | + | 0.806351i | \(0.701439\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 23.5817 | − | 27.2148i | 1.25870 | − | 1.45262i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.0215042 | − | 0.00631419i | 0.00114455 | − | 0.000336070i | −0.281160 | − | 0.959661i | \(-0.590719\pi\) |
0.282305 | + | 0.959325i | \(0.408901\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.46508 | + | 10.1899i | 0.0777583 | + | 0.540821i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −17.6674 | − | 38.6861i | −0.935056 | − | 2.04749i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.0248 | + | 7.72790i | 0.634647 | + | 0.407863i | 0.818027 | − | 0.575179i | \(-0.195068\pi\) |
−0.183380 | + | 0.983042i | \(0.558704\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.56276 | − | 17.8244i | 0.134882 | − | 0.938125i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 18.1254 | − | 11.6485i | 0.951335 | − | 0.611386i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.86198 | − | 0.546726i | −0.0974603 | − | 0.0286169i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.5788 | 0.656608 | 0.328304 | − | 0.944572i | \(-0.393523\pi\) | ||||
0.328304 | + | 0.944572i | \(0.393523\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −12.2318 | −0.636761 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −20.7497 | − | 6.09267i | −1.07727 | − | 0.316316i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.3586 | + | 8.58507i | −0.691683 | + | 0.444518i | −0.838684 | − | 0.544619i | \(-0.816674\pi\) |
0.147001 | + | 0.989136i | \(0.453038\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.405610 | + | 2.82108i | −0.0209456 | + | 0.145680i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 48.1643 | + | 30.9533i | 2.48059 | + | 1.59418i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.46936 | − | 9.78653i | −0.229575 | − | 0.502700i | 0.759428 | − | 0.650591i | \(-0.225479\pi\) |
−0.989004 | + | 0.147891i | \(0.952752\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.65541 | − | 25.4239i | −0.187272 | − | 1.30251i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −8.41345 | + | 2.47041i | −0.429907 | + | 0.126232i | −0.489525 | − | 0.871989i | \(-0.662830\pi\) |
0.0596180 | + | 0.998221i | \(0.481012\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.12057 | − | 8.21757i | 0.362898 | − | 0.418806i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −17.9765 | − | 20.7460i | −0.913799 | − | 1.05458i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.949609 | − | 2.07935i | 0.0481471 | − | 0.105427i | −0.884030 | − | 0.467431i | \(-0.845180\pi\) |
0.932177 | + | 0.362003i | \(0.117907\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 22.2174 | − | 17.6163i | 1.12358 | − | 0.890894i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −20.4045 | + | 44.6796i | −1.02927 | + | 2.25379i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 10.0904 | + | 11.6449i | 0.507701 | + | 0.585919i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −22.3229 | + | 25.7621i | −1.12036 | + | 1.29296i | −0.168744 | + | 0.985660i | \(0.553971\pi\) |
−0.951613 | + | 0.307300i | \(0.900574\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −6.87561 | + | 2.01886i | −0.344211 | + | 0.101069i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.12632 | − | 21.7441i | −0.156121 | − | 1.08585i | −0.905696 | − | 0.423927i | \(-0.860651\pi\) |
0.749575 | − | 0.661919i | \(-0.230258\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 26.1880 | + | 57.3438i | 1.30452 | + | 2.85650i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.57846 | + | 1.01441i | 0.0784343 | + | 0.0504067i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.68112 | + | 11.6924i | −0.0833299 | + | 0.579573i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.3242 | + | 11.7762i | −0.906073 | + | 0.582298i | −0.908585 | − | 0.417699i | \(-0.862837\pi\) |
0.00251252 | + | 0.999997i | \(0.499200\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.62305 | − | 2.82558i | −0.474670 | − | 0.139376i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.32004 | −0.0649549 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.42984 | 0.119276 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −28.7323 | − | 8.43655i | −1.40702 | − | 0.413140i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −23.2579 | + | 14.9469i | −1.13622 | + | 0.730205i | −0.966849 | − | 0.255347i | \(-0.917810\pi\) |
−0.169372 | + | 0.985552i | \(0.554174\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.78053 | + | 12.3838i | −0.0867776 | + | 0.603551i | 0.899308 | + | 0.437315i | \(0.144071\pi\) |
−0.986086 | + | 0.166236i | \(0.946839\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 27.4134 | + | 17.6175i | 1.33289 | + | 0.856594i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.45602 | − | 5.37793i | −0.119134 | − | 0.260868i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.52029 | + | 10.5738i | 0.0735719 | + | 0.511704i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −70.1129 | + | 20.5870i | −3.38508 | + | 0.993950i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.744842 | + | 0.859593i | −0.0358778 | + | 0.0414051i | −0.773405 | − | 0.633912i | \(-0.781448\pi\) |
0.737527 | + | 0.675318i | \(0.235993\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.89387 | − | 3.33971i | −0.139071 | − | 0.160496i | 0.681942 | − | 0.731407i | \(-0.261136\pi\) |
−0.821012 | + | 0.570911i | \(0.806590\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −11.3901 | + | 24.9408i | −0.546113 | + | 1.19582i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.40525 | − | 4.12778i | −0.115059 | − | 0.197458i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.65250 | + | 16.7566i | −0.365234 | + | 0.799751i | 0.634408 | + | 0.772998i | \(0.281244\pi\) |
−0.999642 | + | 0.0267524i | \(0.991483\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.11247 | + | 2.43792i | 0.100594 | + | 0.116091i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.54692 | − | 7.55555i | 0.311054 | − | 0.358975i | −0.578600 | − | 0.815612i | \(-0.696401\pi\) |
0.889653 | + | 0.456637i | \(0.150946\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.32967 | + | 2.15219i | −0.347460 | + | 0.102023i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.290425 | + | 2.01995i | 0.0137366 | + | 0.0955403i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.85481 | + | 15.0099i | 0.323498 | + | 0.708363i | 0.999595 | − | 0.0284502i | \(-0.00905719\pi\) |
−0.676097 | + | 0.736813i | \(0.736330\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.65316 | + | 5.56105i | 0.407461 | + | 0.261859i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.51895 | − | 10.5646i | 0.0713667 | − | 0.496366i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −12.6363 | + | 8.12086i | −0.592399 | + | 0.380712i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −18.4917 | − | 5.42965i | −0.865005 | − | 0.253988i | −0.181015 | − | 0.983480i | \(-0.557938\pi\) |
−0.683989 | + | 0.729492i | \(0.739757\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −35.7737 | −1.66977 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.31102 | 0.0610605 | 0.0305302 | − | 0.999534i | \(-0.490280\pi\) | ||||
0.0305302 | + | 0.999534i | \(0.490280\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.97821 | − | 0.874481i | −0.138409 | − | 0.0406406i | 0.211794 | − | 0.977314i | \(-0.432069\pi\) |
−0.350203 | + | 0.936674i | \(0.613888\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −25.3977 | + | 16.3221i | −1.17779 | + | 0.756919i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 2.26175 | − | 15.7308i | 0.104661 | − | 0.727934i | −0.868144 | − | 0.496312i | \(-0.834687\pi\) |
0.972806 | − | 0.231623i | \(-0.0744035\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.3990 | + | 8.61105i | 0.618711 | + | 0.397621i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 16.7297 | + | 36.6329i | 0.770862 | + | 1.68795i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.28523 | + | 22.8493i | 0.151055 | + | 1.05061i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.955810 | + | 0.280651i | −0.0438556 | + | 0.0128772i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −28.7452 | + | 33.1737i | −1.31615 | + | 1.51892i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.2099 | − | 11.7829i | −0.466504 | − | 0.538374i | 0.472932 | − | 0.881099i | \(-0.343196\pi\) |
−0.939436 | + | 0.342725i | \(0.888650\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.77888 | − | 14.8437i | 0.309090 | − | 0.676814i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 19.8986 | − | 28.1817i | 0.905420 | − | 1.28231i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.68526 | − | 10.2593i | 0.212746 | − | 0.465850i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.30456 | + | 4.96773i | 0.195058 | + | 0.225109i | 0.844850 | − | 0.535003i | \(-0.179689\pi\) |
−0.649792 | + | 0.760112i | \(0.725144\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 28.7652 | − | 33.1969i | 1.30081 | − | 1.50121i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −19.9337 | + | 5.85306i | −0.899595 | + | 0.264145i | −0.698655 | − | 0.715459i | \(-0.746218\pi\) |
−0.200940 | + | 0.979604i | \(0.564400\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.09442 | − | 56.2979i | −0.364554 | − | 2.53553i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −9.16840 | − | 20.0760i | −0.412089 | − | 0.902349i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −21.8584 | − | 14.0476i | −0.980484 | − | 0.630119i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.62825 | + | 32.1902i | −0.207189 | + | 1.44103i | 0.575083 | + | 0.818095i | \(0.304970\pi\) |
−0.782272 | + | 0.622937i | \(0.785939\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −37.4970 | + | 24.0978i | −1.67524 | + | 1.07661i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −26.8301 | − | 7.87802i | −1.19629 | − | 0.351264i | −0.377859 | − | 0.925863i | \(-0.623340\pi\) |
−0.818435 | + | 0.574600i | \(0.805158\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.6169 | 0.516945 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 63.8936 | 2.83761 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 40.9302 | + | 12.0182i | 1.81420 | + | 0.532697i | 0.998924 | − | 0.0463746i | \(-0.0147668\pi\) |
0.815276 | + | 0.579072i | \(0.196585\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.12041 | − | 2.64803i | 0.182276 | − | 0.117142i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.857816 | + | 5.96624i | −0.0378735 | + | 0.263416i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −10.4907 | − | 6.74199i | −0.462277 | − | 0.297088i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.3835 | − | 24.9264i | −0.500647 | − | 1.09626i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.820314 | + | 5.70541i | 0.0360078 | + | 0.250440i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.9679 | − | 4.98221i | 0.743376 | − | 0.218275i | 0.111953 | − | 0.993714i | \(-0.464289\pi\) |
0.631423 | + | 0.775439i | \(0.282471\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5.40427 | + | 6.23687i | −0.236312 | + | 0.272719i | −0.861502 | − | 0.507754i | \(-0.830476\pi\) |
0.625190 | + | 0.780473i | \(0.285022\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −4.71074 | − | 5.43648i | −0.205593 | − | 0.237267i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 26.0160 | − | 56.9670i | 1.13327 | − | 2.48152i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.4202 | + | 8.37708i | 0.931313 | + | 0.364221i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.11305 | + | 2.43724i | −0.0483022 | + | 0.105767i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −9.30517 | − | 10.7387i | −0.403052 | − | 0.465146i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.23801 | + | 6.04499i | −0.226459 | + | 0.261348i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −33.2735 | + | 9.76997i | −1.43586 | + | 0.421605i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.386056 | − | 2.68508i | −0.0166286 | − | 0.115654i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.8613 | − | 25.9725i | −0.509955 | − | 1.11665i | −0.973104 | − | 0.230366i | \(-0.926008\pi\) |
0.463149 | − | 0.886280i | \(-0.346719\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −16.5030 | − | 10.6058i | −0.708211 | − | 0.455139i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.0648231 | − | 0.450855i | 0.00277672 | − | 0.0193125i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.06543 | − | 4.54067i | 0.302096 | − | 0.194145i | −0.380807 | − | 0.924655i | \(-0.624354\pi\) |
0.682903 | + | 0.730509i | \(0.260717\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 20.8048 | + | 6.10884i | 0.887927 | + | 0.260719i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.58331 | −0.408263 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −38.8901 | −1.65377 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.49832 | + | 2.20171i | 0.318286 | + | 0.0934572i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −32.3703 | + | 20.8031i | −1.37157 | + | 0.881457i | −0.998918 | − | 0.0465128i | \(-0.985189\pi\) |
−0.372656 | + | 0.927970i | \(0.621553\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.53830 | − | 31.5646i | 0.191950 | − | 1.33504i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 61.0689 | + | 39.2466i | 2.57833 | + | 1.65699i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 11.0602 | + | 24.2184i | 0.466130 | + | 1.02068i | 0.986047 | + | 0.166466i | \(0.0532355\pi\) |
−0.519917 | + | 0.854217i | \(0.674037\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.00686 | + | 7.00285i | 0.0423588 | + | 0.294612i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −4.54391 | + | 1.33421i | −0.190826 | + | 0.0560316i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.76867 | + | 8.96552i | −0.325680 | + | 0.375854i | −0.894851 | − | 0.446364i | \(-0.852719\pi\) |
0.569172 | + | 0.822219i | \(0.307264\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.34023 | + | 6.16295i | 0.223482 | + | 0.257912i | 0.856407 | − | 0.516301i | \(-0.172691\pi\) |
−0.632925 | + | 0.774213i | \(0.718146\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 19.2883 | − | 42.2355i | 0.805781 | − | 1.76441i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.76620 | − | 3.91767i | 0.115359 | − | 0.163378i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.37599 | − | 11.7718i | 0.223805 | − | 0.490065i | −0.764105 | − | 0.645092i | \(-0.776819\pi\) |
0.987910 | + | 0.155027i | \(0.0495463\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 44.5945 | + | 51.4648i | 1.85328 | + | 2.13880i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.01612 | + | 4.63485i | −0.166617 | + | 0.192286i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 35.4174 | − | 10.3995i | 1.46684 | − | 0.430703i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.33900 | + | 30.1784i | 0.179395 | + | 1.24772i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1.51413 | − | 3.31548i | −0.0624948 | − | 0.136844i | 0.875808 | − | 0.482660i | \(-0.160329\pi\) |
−0.938302 | + | 0.345816i | \(0.887602\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.87697 | − | 5.70488i | −0.365769 | − | 0.235066i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.20725 | + | 8.39658i | −0.0496595 | + | 0.345389i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 23.0056 | − | 14.7848i | 0.944726 | − | 0.607138i | 0.0249948 | − | 0.999688i | \(-0.492043\pi\) |
0.919731 | + | 0.392549i | \(0.128407\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 14.3177 | + | 4.20405i | 0.586967 | + | 0.172349i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.67928 | 0.355219 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 4.04978 | 0.165469 | 0.0827347 | − | 0.996572i | \(-0.473635\pi\) | ||||
0.0827347 | + | 0.996572i | \(0.473635\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 42.7518 | + | 12.5531i | 1.74388 | + | 0.512050i | 0.989518 | − | 0.144407i | \(-0.0461275\pi\) |
0.754363 | + | 0.656457i | \(0.227946\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 27.1969 | − | 17.4784i | 1.10754 | − | 0.711775i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.07585 | + | 7.48269i | −0.0437395 | + | 0.304215i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.68163 | − | 5.57934i | −0.352376 | − | 0.226459i | 0.352463 | − | 0.935826i | \(-0.385344\pi\) |
−0.704839 | + | 0.709367i | \(0.748981\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −28.7480 | − | 62.9494i | −1.16493 | − | 2.55084i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.38731 | + | 37.4696i | 0.217947 | + | 1.51586i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.1452 | − | 4.15340i | 0.571318 | − | 0.167754i | 0.0167021 | − | 0.999861i | \(-0.494683\pi\) |
0.554616 | + | 0.832106i | \(0.312865\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.45626 | − | 5.14280i | 0.179694 | − | 0.207378i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 13.6829 | + | 15.7909i | 0.550852 | + | 0.635717i | 0.961081 | − | 0.276265i | \(-0.0890968\pi\) |
−0.410229 | + | 0.911982i | \(0.634551\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.9305 | + | 30.5034i | −0.559912 | + | 1.22604i | 0.392085 | + | 0.919929i | \(0.371754\pi\) |
−0.951997 | + | 0.306108i | \(0.900973\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −14.6098 | − | 25.0727i | −0.586271 | − | 1.00613i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 8.00951 | − | 17.5384i | 0.320894 | − | 0.702660i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.654861 | − | 0.755750i | −0.0261944 | − | 0.0302300i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 8.00981 | − | 9.24382i | 0.319881 | − | 0.369162i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −15.5545 | + | 4.56720i | −0.620197 | + | 0.182106i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.61882 | − | 32.1246i | −0.183872 | − | 1.27886i | −0.847499 | − | 0.530797i | \(-0.821893\pi\) |
0.663627 | − | 0.748064i | \(-0.269016\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.2274 | − | 31.1537i | −0.565489 | − | 1.23825i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 7.58147 | + | 4.87231i | 0.300861 | + | 0.193352i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.533308 | + | 3.70924i | −0.0211304 | + | 0.146965i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −44.3675 | + | 28.5132i | −1.75515 | + | 1.12797i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 27.3217 | + | 8.02236i | 1.07914 | + | 0.316864i | 0.772535 | − | 0.634972i | \(-0.218989\pi\) |
0.306606 | + | 0.951837i | \(0.400807\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 44.2359 | 1.74449 | 0.872246 | − | 0.489067i | \(-0.162663\pi\) | ||||
0.872246 | + | 0.489067i | \(0.162663\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 15.2718 | 0.601326 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 26.3320 | + | 7.73178i | 1.03522 | + | 0.303968i | 0.754831 | − | 0.655919i | \(-0.227719\pi\) |
0.280388 | + | 0.959887i | \(0.409537\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.89547 | − | 1.21815i | 0.0744038 | − | 0.0478164i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.8442 | − | 75.4232i | 0.425018 | − | 2.95607i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 23.4318 | + | 15.0587i | 0.916959 | + | 0.589294i | 0.911774 | − | 0.410693i | \(-0.134713\pi\) |
0.00518514 | + | 0.999987i | \(0.498350\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.15924 | − | 15.6765i | −0.279735 | − | 0.612533i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.41485 | − | 9.84047i | −0.0551984 | − | 0.383913i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −38.5542 | + | 11.3205i | −1.50186 | + | 0.440986i | −0.926304 | − | 0.376777i | \(-0.877032\pi\) |
−0.575555 | + | 0.817763i | \(0.695214\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −23.9822 | + | 27.6770i | −0.932801 | + | 1.07651i | 0.0641078 | + | 0.997943i | \(0.479580\pi\) |
−0.996909 | + | 0.0785668i | \(0.974966\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −65.6704 | − | 75.7877i | −2.55043 | − | 2.94335i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.04446 | − | 2.28705i | 0.0405025 | − | 0.0886881i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 36.1517 | − | 28.6649i | 1.39980 | − | 1.10991i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 23.2568 | − | 50.9253i | 0.899160 | − | 1.96889i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −11.9407 | − | 13.7803i | −0.460964 | − | 0.531981i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.5437 | + | 14.4762i | −0.483525 | + | 0.558018i | −0.944124 | − | 0.329591i | \(-0.893089\pi\) |
0.460599 | + | 0.887608i | \(0.347635\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.80572 | + | 1.70471i | −0.223462 | + | 0.0656144i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.0112740 | − | 0.0784126i | −0.000433296 | − | 0.00301364i | 0.989604 | − | 0.143821i | \(-0.0459391\pi\) |
−0.990037 | + | 0.140808i | \(0.955030\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11.8254 | + | 25.8939i | 0.453815 | + | 0.993717i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −20.1429 | − | 12.9451i | −0.771877 | − | 0.496055i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.22974 | − | 15.5082i | 0.0853186 | − | 0.593404i | −0.901647 | − | 0.432473i | \(-0.857641\pi\) |
0.986966 | − | 0.160931i | \(-0.0514497\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.96032 | − | 1.90248i | 0.113108 | − | 0.0726902i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 68.3296 | + | 20.0634i | 2.60694 | + | 0.765466i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −50.9920 | −1.94264 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −29.8601 | −1.13593 | −0.567966 | − | 0.823052i | \(-0.692270\pi\) | ||||
−0.567966 | + | 0.823052i | \(0.692270\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 53.4483 | + | 15.6938i | 2.03033 | + | 0.596160i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 8.83885 | − | 5.68039i | 0.335277 | − | 0.215469i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.00892 | + | 13.9723i | −0.0760933 | + | 0.529240i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 40.7951 | + | 26.2174i | 1.54301 | + | 0.991635i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −10.3160 | − | 22.5890i | −0.389632 | − | 0.853174i | −0.998217 | − | 0.0596859i | \(-0.980990\pi\) |
0.608586 | − | 0.793488i | \(-0.291737\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.388726 | + | 2.70365i | 0.0146611 | + | 0.101970i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −17.3944 | + | 5.10747i | −0.655112 | + | 0.192358i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −19.2008 | + | 22.1589i | −0.722121 | + | 0.833372i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 34.3029 | + | 39.5876i | 1.28827 | + | 1.48674i | 0.780355 | + | 0.625337i | \(0.215038\pi\) |
0.507916 | + | 0.861407i | \(0.330416\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −32.7919 | + | 71.8043i | −1.22979 | + | 2.69287i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 50.5512 | − | 5.03126i | 1.89316 | − | 0.188422i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.6507 | − | 23.3218i | 0.398315 | − | 0.872188i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 30.2035 | + | 34.8567i | 1.12797 | + | 1.30175i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.4012 | − | 14.3118i | 0.462487 | − | 0.533739i | −0.475820 | − | 0.879543i | \(-0.657848\pi\) |
0.938307 | + | 0.345804i | \(0.112394\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 30.1997 | − | 8.86742i | 1.12469 | − | 0.330240i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.31080 | − | 9.11681i | −0.0487491 | − | 0.339058i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −3.99639 | − | 8.75088i | −0.148422 | − | 0.324999i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −8.42152 | − | 5.41218i | −0.312337 | − | 0.200727i | 0.375075 | − | 0.926994i | \(-0.377617\pi\) |
−0.687412 | + | 0.726268i | \(0.741253\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 5.99484 | − | 41.6950i | 0.222031 | − | 1.54426i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −26.6506 | + | 17.1273i | −0.985709 | + | 0.633477i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.31626 | + | 0.973743i | 0.122489 | + | 0.0359660i | 0.342403 | − | 0.939553i | \(-0.388759\pi\) |
−0.219914 | + | 0.975519i | \(0.570578\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.79463 | −0.0661958 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −27.1864 | −1.00142 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.7827 | − | 5.51509i | −0.690931 | − | 0.202876i | −0.0826280 | − | 0.996580i | \(-0.526331\pi\) |
−0.608303 | + | 0.793705i | \(0.708150\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −14.2144 | + | 9.13503i | −0.522178 | + | 0.335584i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.43995 | − | 16.9702i | 0.0895131 | − | 0.622577i | −0.894842 | − | 0.446382i | \(-0.852712\pi\) |
0.984355 | − | 0.176195i | \(-0.0563788\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.602354 | − | 0.387109i | −0.0220685 | − | 0.0141826i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 5.17113 | + | 11.3232i | 0.189202 | + | 0.414294i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.87308 | − | 19.9827i | −0.104980 | − | 0.730154i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 37.5922 | − | 11.0381i | 1.37176 | − | 0.402785i | 0.488867 | − | 0.872358i | \(-0.337410\pi\) |
0.882894 | + | 0.469573i | \(0.155592\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −10.6665 | + | 12.3098i | −0.388709 | + | 0.448594i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.45236 | + | 2.83017i | 0.0892505 | + | 0.103001i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.2688 | + | 31.2443i | −0.518608 | + | 1.13559i | 0.451355 | + | 0.892344i | \(0.350941\pi\) |
−0.969964 | + | 0.243249i | \(0.921787\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −2.56650 | + | 58.8294i | −0.0931580 | + | 2.13537i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −15.7823 | + | 34.5584i | −0.572108 | + | 1.25274i | 0.373559 | + | 0.927606i | \(0.378137\pi\) |
−0.945667 | + | 0.325136i | \(0.894590\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.752852 | + | 0.868837i | 0.0272551 | + | 0.0314540i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 19.8347 | − | 22.8904i | 0.717124 | − | 0.827606i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.98648 | + | 0.876911i | −0.107836 | + | 0.0316634i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.10605 | − | 35.5134i | −0.184129 | − | 1.28064i | −0.846872 | − | 0.531797i | \(-0.821517\pi\) |
0.662743 | − | 0.748847i | \(-0.269392\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.01588 | + | 19.7420i | 0.324699 | + | 0.710991i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −20.8921 | − | 13.4266i | −0.751438 | − | 0.482920i | 0.108006 | − | 0.994150i | \(-0.465553\pi\) |
−0.859444 | + | 0.511231i | \(0.829190\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.50750 | − | 10.4849i | 0.0541511 | − | 0.376629i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −16.5932 | + | 10.6638i | −0.595278 | + | 0.382562i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.28210 | + | 0.670085i | 0.0817647 | + | 0.0240083i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 44.3502 | 1.58698 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −58.2103 | −2.08027 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −13.5578 | − | 3.98092i | −0.483897 | − | 0.142085i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −29.1132 | + | 18.7099i | −1.03777 | + | 0.666937i | −0.944435 | − | 0.328697i | \(-0.893390\pi\) |
−0.0933391 | + | 0.995634i | \(0.529754\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −9.22084 | + | 64.1324i | −0.328271 | + | 2.28317i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −15.0219 | − | 9.65401i | −0.534118 | − | 0.343257i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.4638 | + | 22.9125i | 0.371580 | + | 0.813648i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.47535 | − | 24.1716i | −0.123258 | − | 0.857279i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 40.5147 | − | 11.8962i | 1.43510 | − | 0.421384i | 0.530517 | − | 0.847674i | \(-0.321998\pi\) |
0.904586 | + | 0.426290i | \(0.140180\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 24.6268 | − | 28.4209i | 0.871234 | − | 1.00546i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −25.6282 | − | 29.5765i | −0.905528 | − | 1.04504i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −3.47296 | + | 7.60471i | −0.122558 | + | 0.268365i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.90078 | + | 11.7517i | 0.102239 | + | 0.414194i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −13.3274 | + | 29.1829i | −0.469147 | + | 1.02729i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 1.55792 | + | 1.79794i | 0.0547736 | + | 0.0632121i | 0.782475 | − | 0.622682i | \(-0.213957\pi\) |
−0.727702 | + | 0.685894i | \(0.759411\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.26325 | + | 1.45787i | −0.0443588 | + | 0.0511927i | −0.777495 | − | 0.628889i | \(-0.783510\pi\) |
0.733137 | + | 0.680081i | \(0.238056\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −23.7007 | + | 6.95914i | −0.831218 | + | 0.244068i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.19336 | + | 15.2552i | 0.0768301 | + | 0.534365i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.21739 | + | 4.85541i | 0.0775768 | + | 0.169869i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −64.7361 | − | 41.6034i | −2.26206 | − | 1.45374i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −5.63502 | + | 39.1924i | −0.196664 | + | 1.36783i | 0.617217 | + | 0.786793i | \(0.288260\pi\) |
−0.813880 | + | 0.581032i | \(0.802649\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −12.0709 | + | 7.75750i | −0.420766 | + | 0.270410i | −0.733844 | − | 0.679318i | \(-0.762276\pi\) |
0.313079 | + | 0.949727i | \(0.398640\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 11.7811 | + | 3.45924i | 0.410165 | + | 0.120435i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −14.1454 | −0.491885 | −0.245942 | − | 0.969284i | \(-0.579097\pi\) | ||||
−0.245942 | + | 0.969284i | \(0.579097\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 52.6252 | 1.82775 | 0.913874 | − | 0.405998i | \(-0.133076\pi\) | ||||
0.913874 | + | 0.405998i | \(0.133076\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 46.1720 | + | 13.5573i | 1.60169 | + | 0.470298i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 3.13178 | − | 2.01267i | 0.108510 | − | 0.0697350i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.22567 | − | 15.4799i | 0.0770225 | − | 0.535703i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −53.9199 | − | 34.6522i | −1.86375 | − | 1.19776i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −16.0494 | − | 35.1434i | −0.554088 | − | 1.21328i | −0.954846 | − | 0.297100i | \(-0.903981\pi\) |
0.400759 | − | 0.916184i | \(-0.368747\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.04396 | − | 62.9021i | −0.311861 | − | 2.16904i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 10.6077 | − | 3.11470i | 0.365348 | − | 0.107276i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −14.6807 | + | 16.9425i | −0.505032 | + | 0.582838i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.4948 | − | 14.4198i | −0.429328 | − | 0.495471i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −30.6537 | + | 67.1223i | −1.05203 | + | 2.30363i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −9.55337 | − | 9.03642i | −0.327485 | − | 0.309764i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.82400 | − | 17.1322i | 0.267889 | − | 0.586594i | −0.727106 | − | 0.686526i | \(-0.759135\pi\) |
0.994994 | + | 0.0999312i | \(0.0318623\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.34199 | − | 3.85686i | −0.114294 | − | 0.131902i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −25.8461 | + | 29.8279i | −0.882884 | + | 1.01890i | 0.116784 | + | 0.993157i | \(0.462741\pi\) |
−0.999669 | + | 0.0257455i | \(0.991804\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −29.9572 | + | 8.79623i | −1.02213 | + | 0.300124i | −0.749506 | − | 0.661998i | \(-0.769709\pi\) |
−0.272621 | + | 0.962121i | \(0.587891\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.44429 | + | 17.0004i | 0.0833012 | + | 0.579373i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −5.51316 | − | 12.0721i | −0.187670 | − | 0.410940i | 0.792287 | − | 0.610149i | \(-0.208890\pi\) |
−0.979957 | + | 0.199208i | \(0.936163\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.70137 | − | 1.09340i | −0.0578482 | − | 0.0371768i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.28241 | + | 50.6503i | −0.247324 | + | 1.72017i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 55.8431 | − | 35.8882i | 1.89435 | − | 1.21742i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 36.0347 | + | 10.5807i | 1.22099 | + | 0.358514i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 57.7800 | 1.95556 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.52395 | 0.0853251 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.7858 | − | 4.63512i | −0.533047 | − | 0.156517i | 0.00412174 | − | 0.999992i | \(-0.498688\pi\) |
−0.537169 | + | 0.843475i | \(0.680506\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 70.0122 | − | 44.9941i | 2.36145 | − | 1.51761i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.32758 | + | 57.9196i | −0.280563 | + | 1.95136i | 0.0264317 | + | 0.999651i | \(0.491586\pi\) |
−0.306995 | + | 0.951711i | \(0.599324\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.2669 | + | 19.4514i | 1.01856 | + | 0.654591i | 0.939596 | − | 0.342287i | \(-0.111201\pi\) |
0.0789673 | + | 0.996877i | \(0.474838\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.619223 | − | 1.35591i | −0.0208149 | − | 0.0455784i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.42239 | + | 9.89294i | 0.0477592 | + | 0.332173i | 0.999667 | + | 0.0257892i | \(0.00820986\pi\) |
−0.951908 | + | 0.306383i | \(0.900881\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −21.8247 | + | 6.40832i | −0.731978 | + | 0.214928i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 5.29347 | − | 6.10899i | 0.177338 | − | 0.204659i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −4.14943 | − | 4.78870i | −0.138855 | − | 0.160248i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.05452 | − | 11.0678i | 0.168954 | − | 0.369957i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 26.2978 | − | 76.9777i | 0.878058 | − | 2.57021i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 42.3327 | − | 92.6957i | 1.41187 | − | 3.09157i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 33.1733 | + | 38.2840i | 1.10516 | + | 1.27543i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −25.2418 | + | 29.1305i | −0.839993 | + | 0.969404i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 6.60417 | − | 1.93916i | 0.219530 | − | 0.0644599i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.57785 | + | 10.9742i | 0.0523918 | + | 0.364393i | 0.999104 | + | 0.0423133i | \(0.0134728\pi\) |
−0.946713 | + | 0.322080i | \(0.895618\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 24.7229 | + | 54.1355i | 0.820005 | + | 1.79556i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −35.6048 | − | 22.8818i | −1.17964 | − | 0.758108i | −0.204319 | − | 0.978904i | \(-0.565498\pi\) |
−0.975320 | + | 0.220797i | \(0.929134\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.48974 | − | 10.3614i | 0.0493033 | − | 0.342912i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −10.1480 | + | 6.52173i | −0.335483 | + | 0.215602i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 41.7357 | + | 12.2547i | 1.37823 | + | 0.404686i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −56.0889 | −1.85020 | −0.925101 | − | 0.379721i | \(-0.876020\pi\) | ||||
−0.925101 | + | 0.379721i | \(0.876020\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −49.2677 | −1.62343 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −58.7848 | − | 17.2608i | −1.93493 | − | 0.568146i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.30670 | + | 1.48242i | −0.0758437 | + | 0.0487418i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 9.09193 | − | 63.2358i | 0.298618 | − | 2.07694i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 20.1398 | + | 12.9431i | 0.660767 | + | 0.424649i | 0.827586 | − | 0.561338i | \(-0.189713\pi\) |
−0.166820 | + | 0.985987i | \(0.553350\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.260572 | − | 0.570572i | −0.00853989 | − | 0.0186997i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.85174 | + | 12.8791i | 0.0606232 | + | 0.421644i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −24.4386 | + | 7.17582i | −0.799227 | + | 0.234674i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 35.4129 | − | 40.8687i | 1.15689 | − | 1.33512i | 0.224158 | − | 0.974553i | \(-0.428037\pi\) |
0.932732 | − | 0.360570i | \(-0.117418\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −33.8407 | − | 39.0542i | −1.10435 | − | 1.27449i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 15.5277 | − | 34.0010i | 0.506189 | − | 1.10840i | −0.468219 | − | 0.883613i | \(-0.655104\pi\) |
0.974408 | − | 0.224787i | \(-0.0721687\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −10.6132 | + | 4.29825i | −0.345614 | + | 0.139970i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 6.34421 | − | 13.8919i | 0.206377 | − | 0.451903i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −5.73265 | − | 6.61583i | −0.186286 | − | 0.214986i | 0.654923 | − | 0.755696i | \(-0.272701\pi\) |
−0.841209 | + | 0.540710i | \(0.818156\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.56300 | − | 8.72816i | 0.245505 | − | 0.283328i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −70.7794 | + | 20.7827i | −2.29518 | + | 0.673925i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −3.31794 | − | 23.0768i | −0.107478 | − | 0.747529i | −0.970280 | − | 0.241986i | \(-0.922201\pi\) |
0.862801 | − | 0.505543i | \(-0.168708\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 6.76761 | + | 14.8190i | 0.218995 | + | 0.479532i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 99.3702 | + | 63.8614i | 3.21218 | + | 2.06435i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.26399 | + | 8.79123i | −0.0408163 | + | 0.283884i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 68.3149 | − | 43.9033i | 2.20370 | − | 1.41624i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −39.3175 | − | 11.5447i | −1.26699 | − | 0.372021i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −23.8932 | −0.769148 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −40.1245 | −1.29032 | −0.645159 | − | 0.764048i | \(-0.723209\pi\) | ||||
−0.645159 | + | 0.764048i | \(0.723209\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 16.1057 | + | 4.72906i | 0.517390 | + | 0.151919i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 12.9506 | − | 8.32286i | 0.415605 | − | 0.267093i | −0.316085 | − | 0.948731i | \(-0.602368\pi\) |
0.731690 | + | 0.681638i | \(0.238732\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.77398 | + | 26.2486i | −0.120988 | + | 0.841493i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −14.2692 | − | 9.17023i | −0.456979 | − | 0.293682i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −19.2079 | − | 42.0595i | −0.614516 | − | 1.34560i | −0.919442 | − | 0.393226i | \(-0.871359\pi\) |
0.304926 | − | 0.952376i | \(-0.401368\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.68358 | + | 32.5750i | 0.149688 | + | 1.04110i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.23897 | − | 0.657421i | 0.0714848 | − | 0.0209898i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −17.0008 | + | 19.6199i | −0.542240 | + | 0.625779i | −0.959057 | − | 0.283212i | \(-0.908600\pi\) |
0.416817 | + | 0.908990i | \(0.363146\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.94911 | − | 2.24939i | −0.0621037 | − | 0.0716715i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 19.0078 | − | 41.6213i | 0.605025 | − | 1.32482i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −22.8880 | − | 11.6839i | −0.727796 | − | 0.371526i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.0909 | + | 50.5620i | −0.733506 | + | 1.60615i | 0.0604434 | + | 0.998172i | \(0.480749\pi\) |
−0.793950 | + | 0.607983i | \(0.791979\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 11.6735 | + | 13.4719i | 0.370446 | + | 0.427518i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.99422 | + | 2.30146i | −0.0632211 | + | 0.0729611i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −32.7481 | + | 9.61570i | −1.03714 | + | 0.304532i | −0.755611 | − | 0.655020i | \(-0.772660\pi\) |
−0.281530 | + | 0.959552i | \(0.590842\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.36117 | + | 16.4223i | 0.0747042 | + | 0.519579i |
(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 | 460.2.m.a.121.1 | ✓ | 30 | |
23.4 | even | 11 | inner | 460.2.m.a.441.1 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.a.121.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
460.2.m.a.441.1 | yes | 30 | 23.4 | even | 11 | inner |