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: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 41.3 | ||
Character | \(\chi\) | \(=\) | 460.41 |
Dual form | 460.2.m.b.101.3 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 | ||||||||
\(3\) | −0.249442 | + | 0.287871i | −0.144015 | + | 0.166203i | −0.823174 | − | 0.567789i | \(-0.807799\pi\) |
0.679159 | + | 0.733991i | \(0.262345\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.142315 | − | 0.989821i | 0.0636451 | − | 0.442662i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.948129 | + | 2.07611i | 0.358359 | + | 0.784697i | 0.999846 | + | 0.0175627i | \(0.00559067\pi\) |
−0.641487 | + | 0.767134i | \(0.721682\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.406296 | + | 2.82585i | 0.135432 | + | 0.941950i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.15200 | + | 0.338258i | −0.347341 | + | 0.101989i | −0.450750 | − | 0.892650i | \(-0.648843\pi\) |
0.103408 | + | 0.994639i | \(0.467025\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.598825 | + | 1.31124i | −0.166084 | + | 0.363674i | −0.974314 | − | 0.225193i | \(-0.927699\pi\) |
0.808230 | + | 0.588867i | \(0.200426\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.249442 | + | 0.287871i | 0.0644056 | + | 0.0743280i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.71926 | − | 1.74756i | 0.659518 | − | 0.423847i | −0.167615 | − | 0.985853i | \(-0.553607\pi\) |
0.827133 | + | 0.562006i | \(0.189970\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.45147 | + | 2.21813i | 0.791822 | + | 0.508873i | 0.872938 | − | 0.487831i | \(-0.162212\pi\) |
−0.0811156 | + | 0.996705i | \(0.525848\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.834156 | − | 0.244930i | −0.182028 | − | 0.0534482i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.285852 | + | 4.78730i | 0.0596043 | + | 0.998222i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.87615 | − | 1.20573i | −0.361065 | − | 0.232042i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.48167 | − | 4.80818i | 1.38931 | − | 0.892857i | 0.389706 | − | 0.920939i | \(-0.372576\pi\) |
0.999606 | + | 0.0280825i | \(0.00894013\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.34367 | + | 3.85880i | 0.600541 | + | 0.693062i | 0.971891 | − | 0.235431i | \(-0.0756503\pi\) |
−0.371350 | + | 0.928493i | \(0.621105\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.189983 | − | 0.416004i | 0.0330717 | − | 0.0724170i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.18991 | − | 0.643017i | 0.370163 | − | 0.108690i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.528714 | + | 3.67728i | 0.0869200 | + | 0.604542i | 0.985998 | + | 0.166754i | \(0.0533287\pi\) |
−0.899078 | + | 0.437788i | \(0.855762\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.228097 | − | 0.499464i | −0.0365248 | − | 0.0799782i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.982571 | + | 6.83393i | −0.153452 | + | 1.06728i | 0.756925 | + | 0.653501i | \(0.226701\pi\) |
−0.910377 | + | 0.413780i | \(0.864208\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.09554 | + | 7.03463i | −0.929561 | + | 1.07277i | 0.0676182 | + | 0.997711i | \(0.478460\pi\) |
−0.997179 | + | 0.0750592i | \(0.976085\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.85491 | 0.425585 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.96396 | −0.869933 | −0.434966 | − | 0.900447i | \(-0.643240\pi\) | ||||
−0.434966 | + | 0.900447i | \(0.643240\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.17273 | − | 1.35340i | 0.167533 | − | 0.193343i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.175225 | + | 1.21871i | −0.0245363 | + | 0.170654i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.25446 | − | 11.5057i | −0.721756 | − | 1.58042i | −0.811428 | − | 0.584453i | \(-0.801309\pi\) |
0.0896720 | − | 0.995971i | \(-0.471418\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.170868 | + | 1.18841i | 0.0230399 | + | 0.160246i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.49948 | + | 0.440286i | −0.198611 | + | 0.0583173i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.77695 | − | 6.08067i | 0.361528 | − | 0.791636i | −0.638235 | − | 0.769842i | \(-0.720335\pi\) |
0.999762 | − | 0.0217937i | \(-0.00693770\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.39220 | − | 9.68511i | −1.07451 | − | 1.24005i | −0.969373 | − | 0.245594i | \(-0.921017\pi\) |
−0.105138 | − | 0.994458i | \(-0.533528\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.48156 | + | 3.52279i | −0.690612 | + | 0.443829i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.21268 | + | 0.779340i | 0.150414 | + | 0.0966652i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.69305 | + | 1.96526i | 0.817687 | + | 0.240094i | 0.663720 | − | 0.747981i | \(-0.268977\pi\) |
0.153967 | + | 0.988076i | \(0.450795\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.44943 | − | 1.11187i | −0.174491 | − | 0.133853i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.66043 | + | 2.24931i | 0.909126 | + | 0.266944i | 0.702673 | − | 0.711513i | \(-0.251990\pi\) |
0.206453 | + | 0.978456i | \(0.433808\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.23766 | − | 2.08072i | −0.378940 | − | 0.243530i | 0.337280 | − | 0.941404i | \(-0.390493\pi\) |
−0.716220 | + | 0.697874i | \(0.754129\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.320440 | − | 0.205935i | 0.0370013 | − | 0.0237793i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.79451 | − | 2.07097i | −0.204503 | − | 0.236009i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.99170 | − | 8.74061i | 0.449102 | − | 0.983395i | −0.540736 | − | 0.841192i | \(-0.681854\pi\) |
0.989838 | − | 0.142203i | \(-0.0454186\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.40271 | + | 2.17363i | −0.822523 | + | 0.241515i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.0525008 | + | 0.365151i | 0.00576271 | + | 0.0400805i | 0.992500 | − | 0.122245i | \(-0.0390095\pi\) |
−0.986737 | + | 0.162326i | \(0.948100\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.34279 | − | 2.94029i | −0.145646 | − | 0.318919i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.482106 | + | 3.35312i | −0.0516872 | + | 0.359492i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.81641 | − | 7.86656i | 0.722538 | − | 0.833854i | −0.269072 | − | 0.963120i | \(-0.586717\pi\) |
0.991610 | + | 0.129267i | \(0.0412623\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.29006 | −0.344891 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.94489 | −0.201676 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.68675 | − | 3.10067i | 0.275654 | − | 0.318122i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.48856 | − | 10.3532i | 0.151141 | − | 1.05121i | −0.763171 | − | 0.646196i | \(-0.776359\pi\) |
0.914312 | − | 0.405011i | \(-0.132732\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.42392 | − | 3.11795i | −0.143109 | − | 0.313366i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.26265 | − | 8.78191i | −0.125638 | − | 0.873832i | −0.950992 | − | 0.309216i | \(-0.899933\pi\) |
0.825354 | − | 0.564616i | \(-0.190976\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.21066 | + | 2.41087i | −0.809021 | + | 0.237550i | −0.659982 | − | 0.751281i | \(-0.729436\pi\) |
−0.149039 | + | 0.988831i | \(0.547618\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.361150 | + | 0.790808i | −0.0352446 | + | 0.0771750i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.173877 | − | 0.200665i | −0.0168093 | − | 0.0193990i | 0.747283 | − | 0.664506i | \(-0.231358\pi\) |
−0.764092 | + | 0.645107i | \(0.776813\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.81220 | − | 1.16463i | 0.173577 | − | 0.111551i | −0.450968 | − | 0.892540i | \(-0.648921\pi\) |
0.624545 | + | 0.780989i | \(0.285285\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.19047 | − | 0.765067i | −0.112994 | − | 0.0726169i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.08121 | − | 0.317471i | −0.101711 | − | 0.0298651i | 0.230481 | − | 0.973077i | \(-0.425970\pi\) |
−0.332192 | + | 0.943212i | \(0.607788\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.77926 | + | 0.398362i | 0.445668 | + | 0.0371474i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.94868 | − | 1.15944i | −0.365056 | − | 0.107190i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 6.20635 | + | 3.98858i | 0.568935 | + | 0.365633i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.04110 | + | 5.16770i | −0.731009 | + | 0.469791i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.72220 | − | 1.98752i | −0.155285 | − | 0.179209i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.415415 | + | 0.909632i | −0.0371558 | + | 0.0813600i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −18.4646 | + | 5.42168i | −1.63846 | + | 0.481096i | −0.965894 | − | 0.258937i | \(-0.916628\pi\) |
−0.672570 | + | 0.740034i | \(0.734810\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.504584 | − | 3.50946i | −0.0444262 | − | 0.308991i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.24027 | − | 4.90550i | −0.195733 | − | 0.428596i | 0.786162 | − | 0.618020i | \(-0.212065\pi\) |
−0.981895 | + | 0.189425i | \(0.939338\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.33264 | + | 9.26872i | −0.115555 | + | 0.803700i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.46046 | + | 1.68546i | −0.125696 | + | 0.145061i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.66235 | −0.142024 | −0.0710120 | − | 0.997475i | \(-0.522623\pi\) | ||||
−0.0710120 | + | 0.997475i | \(0.522623\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.330904 | −0.0280669 | −0.0140335 | − | 0.999902i | \(-0.504467\pi\) | ||||
−0.0140335 | + | 0.999902i | \(0.504467\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.48766 | − | 1.71685i | 0.125284 | − | 0.144585i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.246308 | − | 1.71311i | 0.0205973 | − | 0.143258i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.69449 | − | 8.08980i | −0.306810 | − | 0.671821i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.0970777 | + | 0.675190i | 0.00800683 | + | 0.0556887i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 6.67270 | − | 1.95928i | 0.546649 | − | 0.160511i | 0.00326460 | − | 0.999995i | \(-0.498961\pi\) |
0.543384 | + | 0.839484i | \(0.317143\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.15611 | − | 2.53153i | 0.0940831 | − | 0.206013i | −0.856739 | − | 0.515750i | \(-0.827513\pi\) |
0.950823 | + | 0.309736i | \(0.100241\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 6.04318 | + | 6.97420i | 0.488562 | + | 0.563831i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.29538 | − | 2.76047i | 0.345013 | − | 0.221727i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.09701 | + | 5.84629i | 0.726020 | + | 0.466585i | 0.850726 | − | 0.525609i | \(-0.176162\pi\) |
−0.124706 | + | 0.992194i | \(0.539799\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.62283 | + | 1.35739i | 0.366614 | + | 0.107648i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −9.66796 | + | 5.13244i | −0.761942 | + | 0.404493i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.1124 | − | 5.61190i | −1.49700 | − | 0.439558i | −0.572231 | − | 0.820092i | \(-0.693922\pi\) |
−0.924767 | + | 0.380534i | \(0.875740\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.384732 | − | 0.247252i | −0.0299514 | − | 0.0192486i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 12.8546 | − | 8.26114i | 0.994718 | − | 0.639267i | 0.0613235 | − | 0.998118i | \(-0.480468\pi\) |
0.933395 | + | 0.358851i | \(0.116832\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.15242 | + | 8.25433i | 0.550186 | + | 0.634949i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.86578 | + | 10.6546i | −0.372095 | + | 0.814775i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.08418 | − | 0.905596i | 0.234486 | − | 0.0688512i | −0.162379 | − | 0.986729i | \(-0.551917\pi\) |
0.396864 | + | 0.917877i | \(0.370098\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.324814 | − | 2.25913i | −0.0245537 | − | 0.170775i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.05776 | + | 2.31618i | 0.0795063 | + | 0.174094i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.38199 | + | 16.5671i | −0.178038 | + | 1.23828i | 0.683257 | + | 0.730178i | \(0.260563\pi\) |
−0.861295 | + | 0.508105i | \(0.830346\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.29775 | − | 10.7302i | 0.691096 | − | 0.797567i | −0.296425 | − | 0.955056i | \(-0.595794\pi\) |
0.987521 | + | 0.157489i | \(0.0503399\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.88143 | 0.360846 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 3.71510 | 0.273140 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.54147 | + | 2.93301i | −0.185851 | + | 0.214483i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.724396 | − | 5.03828i | 0.0526920 | − | 0.366481i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.36632 | − | 2.99183i | −0.0988637 | − | 0.216481i | 0.853737 | − | 0.520704i | \(-0.174331\pi\) |
−0.952601 | + | 0.304223i | \(0.901603\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.76885 | + | 12.3027i | 0.127325 | + | 0.885564i | 0.948925 | + | 0.315501i | \(0.102172\pi\) |
−0.821600 | + | 0.570064i | \(0.806919\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.526842 | + | 0.154695i | −0.0377279 | + | 0.0110779i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.21268 | − | 20.1729i | 0.656376 | − | 1.43726i | −0.229485 | − | 0.973312i | \(-0.573704\pi\) |
0.885861 | − | 0.463951i | \(-0.153569\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.265343 | + | 0.306222i | 0.0188097 | + | 0.0217075i | 0.765076 | − | 0.643939i | \(-0.222701\pi\) |
−0.746267 | + | 0.665647i | \(0.768156\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.23527 | + | 1.43652i | −0.157664 | + | 0.101324i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 17.0759 | + | 10.9740i | 1.19849 | + | 0.770226i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.62454 | + | 1.94514i | 0.462678 | + | 0.135854i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −13.4121 | + | 2.75284i | −0.932203 | + | 0.191336i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.72640 | − | 1.38780i | −0.326932 | − | 0.0959959i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.10777 | + | 5.85321i | 0.627005 | + | 0.402952i | 0.815200 | − | 0.579180i | \(-0.196627\pi\) |
−0.188195 | + | 0.982132i | \(0.560264\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.55834 | + | 1.64415i | −0.175295 | + | 0.112655i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 6.09554 | + | 7.03463i | 0.415712 | + | 0.479758i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.84108 | + | 10.6005i | −0.328634 | + | 0.719608i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.40659 | − | 0.413012i | 0.0950484 | − | 0.0279087i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.663121 | + | 4.61211i | 0.0446063 | + | 0.310244i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.923781 | + | 2.02280i | 0.0618610 | + | 0.135457i | 0.938038 | − | 0.346534i | \(-0.112641\pi\) |
−0.876177 | + | 0.481990i | \(0.839914\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.406296 | − | 2.82585i | 0.0270864 | − | 0.188390i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 5.79090 | − | 6.68306i | 0.384356 | − | 0.443570i | −0.530296 | − | 0.847812i | \(-0.677919\pi\) |
0.914652 | + | 0.404242i | \(0.132465\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.4428 | 1.15265 | 0.576327 | − | 0.817219i | \(-0.304485\pi\) | ||||
0.576327 | + | 0.817219i | \(0.304485\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.04380 | 0.0686769 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −14.4825 | + | 16.7137i | −0.948779 | + | 1.09495i | 0.0465992 | + | 0.998914i | \(0.485162\pi\) |
−0.995378 | + | 0.0960354i | \(0.969384\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.848760 | + | 5.90326i | −0.0553670 | + | 0.385086i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.52047 | + | 3.32937i | 0.0987653 | + | 0.216266i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.20880 | − | 22.3177i | −0.207560 | − | 1.44361i | −0.781085 | − | 0.624425i | \(-0.785333\pi\) |
0.573525 | − | 0.819188i | \(-0.305576\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −17.0555 | + | 5.00793i | −1.09864 | + | 0.322589i | −0.780311 | − | 0.625391i | \(-0.784939\pi\) |
−0.318327 | + | 0.947981i | \(0.603121\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 4.00017 | − | 8.75916i | 0.256611 | − | 0.561900i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.17273 | − | 1.35340i | −0.0749229 | − | 0.0864657i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.97534 | + | 3.19745i | −0.316573 | + | 0.203449i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.118212 | − | 0.0759704i | −0.00749140 | − | 0.00481443i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 26.4033 | + | 7.75270i | 1.66656 | + | 0.489346i | 0.972952 | − | 0.231007i | \(-0.0742020\pi\) |
0.693608 | + | 0.720353i | \(0.256020\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.94865 | − | 5.41829i | −0.122510 | − | 0.340645i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.18137 | + | 0.346882i | 0.0739804 | + | 0.0217226i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 8.99614 | + | 5.78147i | 0.561164 | + | 0.360638i | 0.790266 | − | 0.612764i | \(-0.209943\pi\) |
−0.229102 | + | 0.973402i | \(0.573579\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.13317 | + | 4.58421i | −0.443234 | + | 0.284849i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 16.6270 | + | 19.1885i | 1.02918 | + | 1.18774i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.67645 | − | 18.9988i | 0.535013 | − | 1.17152i | −0.428423 | − | 0.903578i | \(-0.640931\pi\) |
0.963436 | − | 0.267937i | \(-0.0863420\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.1363 | + | 3.56355i | −0.745529 | + | 0.218907i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.564258 | + | 3.92450i | 0.0345320 | + | 0.240175i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.62193 | + | 10.1206i | 0.281804 | + | 0.617065i | 0.996611 | − | 0.0822567i | \(-0.0262127\pi\) |
−0.714807 | + | 0.699322i | \(0.753485\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.857736 | + | 5.96569i | −0.0521038 | + | 0.362390i | 0.947044 | + | 0.321105i | \(0.104054\pi\) |
−0.999147 | + | 0.0412848i | \(0.986855\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.820677 | − | 0.947112i | 0.0496696 | − | 0.0573218i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.20064 | 0.0724010 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.75353 | 0.525949 | 0.262974 | − | 0.964803i | \(-0.415297\pi\) | ||||
0.262974 | + | 0.964803i | \(0.415297\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −9.54588 | + | 11.0165i | −0.571497 | + | 0.659543i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.338311 | + | 2.35301i | −0.0201820 | + | 0.140369i | −0.997421 | − | 0.0717723i | \(-0.977135\pi\) |
0.977239 | + | 0.212141i | \(0.0680436\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.33659 | − | 2.92673i | −0.0794522 | − | 0.173976i | 0.865737 | − | 0.500499i | \(-0.166850\pi\) |
−0.945189 | + | 0.326523i | \(0.894123\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.222407 | + | 1.54687i | 0.0131742 | + | 0.0916289i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −15.1196 | + | 4.43952i | −0.892483 | + | 0.262057i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.72164 | + | 5.95957i | −0.160097 | + | 0.350563i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.60907 | + | 3.01103i | 0.152947 | + | 0.176510i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.85391 | − | 5.04740i | 0.458830 | − | 0.294872i | −0.290734 | − | 0.956804i | \(-0.593899\pi\) |
0.749564 | + | 0.661932i | \(0.230263\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.62358 | − | 3.61405i | −0.327417 | − | 0.210418i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.56917 | + | 0.754377i | 0.149079 | + | 0.0437734i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6.44850 | − | 2.49194i | −0.372927 | − | 0.144112i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −20.3840 | − | 5.98529i | −1.17492 | − | 0.344987i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.84301 | + | 1.82709i | 0.163327 | + | 0.104964i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.7809 | + | 6.92844i | −0.617311 | + | 0.396721i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 6.40257 | + | 7.38896i | 0.365414 | + | 0.421710i | 0.908446 | − | 0.418001i | \(-0.137269\pi\) |
−0.543032 | + | 0.839712i | \(0.682724\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.35406 | − | 2.96498i | 0.0770300 | − | 0.168672i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.12404 | − | 2.67906i | 0.517377 | − | 0.151916i | −0.0126115 | − | 0.999920i | \(-0.504014\pi\) |
0.529988 | + | 0.848005i | \(0.322196\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.823298 | − | 5.72616i | −0.0465355 | − | 0.323662i | −0.999770 | − | 0.0214310i | \(-0.993178\pi\) |
0.953235 | − | 0.302231i | \(-0.0977313\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.70682 | + | 5.92711i | 0.152512 | + | 0.333955i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.47624 | − | 10.2675i | 0.0829137 | − | 0.576678i | −0.905437 | − | 0.424482i | \(-0.860456\pi\) |
0.988350 | − | 0.152196i | \(-0.0486345\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.99249 | + | 8.06977i | −0.391504 | + | 0.451820i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.101138 | 0.00564496 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 13.2618 | 0.737905 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.943989 | − | 1.08942i | 0.0523631 | − | 0.0604302i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.116775 | + | 0.812186i | −0.00645766 | + | 0.0449140i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.65460 | − | 12.3819i | −0.311748 | − | 0.682634i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.55688 | − | 31.6938i | −0.250469 | − | 1.74205i | −0.595407 | − | 0.803424i | \(-0.703009\pi\) |
0.344938 | − | 0.938625i | \(-0.387900\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −10.1766 | + | 2.98813i | −0.557676 | + | 0.163749i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.89778 | − | 6.34524i | 0.158322 | − | 0.346678i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.4541 | + | 23.6053i | 1.11421 | + | 1.28586i | 0.954340 | + | 0.298723i | \(0.0965605\pi\) |
0.159865 | + | 0.987139i | \(0.448894\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.361089 | − | 0.232058i | 0.0196116 | − | 0.0126036i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.15719 | − | 3.31432i | −0.279277 | − | 0.179481i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.2511 | + | 5.65264i | 1.03946 | + | 0.305214i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.30682 | + | 1.27644i | −0.0703570 | + | 0.0687214i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −24.1609 | − | 7.09427i | −1.29702 | − | 0.380841i | −0.440874 | − | 0.897569i | \(-0.645332\pi\) |
−0.856149 | + | 0.516728i | \(0.827150\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.5978 | + | 10.0241i | 0.834931 | + | 0.536577i | 0.886841 | − | 0.462074i | \(-0.152895\pi\) |
−0.0519104 | + | 0.998652i | \(0.516531\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.70449 | − | 1.73807i | 0.144355 | − | 0.0927713i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 8.95678 | + | 10.3367i | 0.476721 | + | 0.550166i | 0.942269 | − | 0.334857i | \(-0.108688\pi\) |
−0.465547 | + | 0.885023i | \(0.654143\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.31660 | − | 7.26235i | 0.176027 | − | 0.385446i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.69632 | + | 0.791711i | −0.142704 | + | 0.0419018i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.941910 | − | 6.55113i | −0.0497121 | − | 0.345755i | −0.999464 | − | 0.0327503i | \(-0.989573\pi\) |
0.949751 | − | 0.313005i | \(-0.101336\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.900307 | − | 1.97140i | −0.0473846 | − | 0.103758i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.518154 | − | 3.60384i | 0.0271960 | − | 0.189153i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.52031 | + | 2.90859i | −0.131919 | + | 0.152243i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.8576 | 1.19316 | 0.596579 | − | 0.802555i | \(-0.296526\pi\) | ||||
0.596579 | + | 0.802555i | \(0.296526\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −19.7109 | −1.02611 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 18.9051 | − | 21.8177i | 0.981506 | − | 1.13272i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.59111 | − | 18.0216i | 0.134163 | − | 0.933121i | −0.805884 | − | 0.592074i | \(-0.798309\pi\) |
0.940046 | − | 0.341047i | \(-0.110782\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.158235 | − | 0.346486i | −0.00817122 | − | 0.0178925i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.82448 | + | 12.6896i | 0.0939657 | + | 0.653546i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.6967 | + | 9.01336i | −1.57678 | + | 0.462985i | −0.948967 | − | 0.315376i | \(-0.897869\pi\) |
−0.627816 | + | 0.778362i | \(0.716051\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.04509 | − | 6.66781i | 0.156004 | − | 0.341602i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −23.5506 | − | 27.1788i | −1.20338 | − | 1.38877i | −0.899992 | − | 0.435905i | \(-0.856428\pi\) |
−0.303386 | − | 0.952868i | \(-0.598117\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.30528 | + | 1.48151i | −0.117488 | + | 0.0755049i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −22.3554 | − | 14.3669i | −1.13639 | − | 0.730313i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −17.0561 | − | 5.00812i | −0.864779 | − | 0.253922i | −0.180885 | − | 0.983504i | \(-0.557896\pi\) |
−0.683893 | + | 0.729582i | \(0.739715\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.14343 | + | 12.5184i | 0.462403 | + | 0.633083i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.97097 | + | 0.578729i | 0.0994222 | + | 0.0291930i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −8.08356 | − | 5.19499i | −0.406728 | − | 0.261388i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.92101 | + | 4.44786i | −0.347356 | + | 0.223232i | −0.702672 | − | 0.711514i | \(-0.748010\pi\) |
0.355316 | + | 0.934746i | \(0.384373\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −2.33578 | − | 2.69563i | −0.116935 | − | 0.134951i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.10692 | − | 11.1826i | 0.255027 | − | 0.558432i | −0.738205 | − | 0.674577i | \(-0.764326\pi\) |
0.993232 | + | 0.116144i | \(0.0370535\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.06211 | + | 2.07362i | −0.351789 | + | 0.103295i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.09799 | + | 7.63670i | 0.0545597 | + | 0.379471i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.85295 | − | 4.05740i | −0.0918473 | − | 0.201118i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.02856 | + | 21.0641i | −0.149752 | + | 1.04155i | 0.766871 | + | 0.641801i | \(0.221812\pi\) |
−0.916624 | + | 0.399751i | \(0.869097\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.414659 | − | 0.478542i | 0.0204536 | − | 0.0236048i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 15.2571 | 0.750751 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.368906 | 0.0181089 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.0825414 | − | 0.0952578i | 0.00404207 | − | 0.00466480i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.70677 | − | 18.8260i | 0.132234 | − | 0.919709i | −0.810399 | − | 0.585879i | \(-0.800750\pi\) |
0.942633 | − | 0.333831i | \(-0.108341\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.3374 | − | 22.6357i | −0.503813 | − | 1.10320i | −0.975211 | − | 0.221275i | \(-0.928978\pi\) |
0.471399 | − | 0.881920i | \(-0.343749\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.42313 | − | 16.8533i | −0.117817 | − | 0.819433i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.10146 | + | 0.910671i | −0.150443 | + | 0.0441740i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.1505 | − | 26.6059i | 0.588004 | − | 1.28755i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.431716 | + | 0.498227i | 0.0208435 | + | 0.0240546i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.5298 | + | 9.33776i | −0.699878 | + | 0.449784i | −0.841585 | − | 0.540124i | \(-0.818377\pi\) |
0.141707 | + | 0.989909i | \(0.454741\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.4304 | + | 13.7725i | 1.02988 | + | 0.661863i | 0.942464 | − | 0.334309i | \(-0.108503\pi\) |
0.0874154 | + | 0.996172i | \(0.472139\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.25038 | + | 0.954397i | 0.155844 | + | 0.0457598i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −9.63224 | + | 17.1573i | −0.460772 | + | 0.820745i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −20.8609 | − | 6.12531i | −0.995636 | − | 0.292345i | −0.256972 | − | 0.966419i | \(-0.582725\pi\) |
−0.738664 | + | 0.674074i | \(0.764543\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.30099 | + | 2.76408i | 0.204809 | + | 0.131623i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −18.9779 | + | 12.1964i | −0.901669 | + | 0.579468i | −0.907285 | − | 0.420517i | \(-0.861849\pi\) |
0.00561558 | + | 0.999984i | \(0.498212\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.81641 | − | 7.86656i | −0.323129 | − | 0.372911i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.10043 | + | 2.40960i | −0.0520485 | + | 0.113970i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −21.6615 | + | 6.36040i | −1.02227 | + | 0.300166i | −0.749565 | − | 0.661931i | \(-0.769737\pi\) |
−0.272707 | + | 0.962097i | \(0.587919\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.17971 | − | 8.20506i | −0.0555504 | − | 0.386361i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.440373 | + | 0.964282i | 0.0206905 | + | 0.0453059i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.468224 | + | 3.25657i | −0.0219507 | + | 0.152670i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 16.6944 | − | 19.2663i | 0.780930 | − | 0.901241i | −0.216247 | − | 0.976339i | \(-0.569382\pi\) |
0.997176 | + | 0.0750980i | \(0.0239270\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −7.20883 | −0.336479 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.2768 | −0.990959 | −0.495479 | − | 0.868620i | \(-0.665008\pi\) | ||||
−0.495479 | + | 0.868620i | \(0.665008\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.899349 | + | 1.03790i | −0.0417963 | + | 0.0482355i | −0.776263 | − | 0.630409i | \(-0.782887\pi\) |
0.734467 | + | 0.678645i | \(0.237432\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.276787 | + | 1.92509i | −0.0128357 | + | 0.0892741i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −10.7378 | − | 23.5126i | −0.496888 | − | 1.08803i | −0.977468 | − | 0.211083i | \(-0.932301\pi\) |
0.480580 | − | 0.876951i | \(-0.340426\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.26578 | + | 15.7589i | 0.104624 | + | 0.727676i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.95215 | + | 1.16046i | −0.182106 | + | 0.0534710i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 4.64255 | − | 10.1658i | 0.213465 | − | 0.467422i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.68675 | − | 3.10067i | −0.123276 | − | 0.142268i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 30.3784 | − | 19.5230i | 1.39093 | − | 0.893898i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 28.8828 | + | 18.5619i | 1.31969 | + | 0.848114i | 0.995208 | − | 0.0977779i | \(-0.0311735\pi\) |
0.324483 | + | 0.945892i | \(0.394810\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.13843 | − | 1.50878i | −0.234292 | − | 0.0687944i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.934111 | − | 4.06337i | 0.0425035 | − | 0.184890i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −10.0360 | − | 2.94682i | −0.455710 | − | 0.133808i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −32.3917 | − | 20.8169i | −1.46781 | − | 0.943302i | −0.998172 | − | 0.0604421i | \(-0.980749\pi\) |
−0.469636 | − | 0.882860i | \(-0.655615\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 6.38293 | − | 4.10206i | 0.288646 | − | 0.185502i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 16.2128 | + | 18.7106i | 0.731675 | + | 0.844398i | 0.992659 | − | 0.120945i | \(-0.0385926\pi\) |
−0.260984 | + | 0.965343i | \(0.584047\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11.9420 | − | 26.1494i | 0.537842 | − | 1.17771i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −3.28886 | + | 0.965696i | −0.147823 | + | 0.0434048i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.59327 | + | 18.0366i | 0.116324 | + | 0.809050i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.401632 | − | 0.879452i | −0.0179795 | − | 0.0393697i | 0.900429 | − | 0.435003i | \(-0.143253\pi\) |
−0.918409 | + | 0.395633i | \(0.870525\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.828327 | + | 5.76114i | −0.0370069 | + | 0.257389i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 16.7636 | − | 19.3462i | 0.747450 | − | 0.862603i | −0.246868 | − | 0.969049i | \(-0.579402\pi\) |
0.994319 | + | 0.106446i | \(0.0339470\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.87221 | −0.394808 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −4.16030 | −0.184765 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −22.4372 | + | 25.8939i | −0.994510 | + | 1.14773i | −0.00548361 | + | 0.999985i | \(0.501745\pi\) |
−0.989026 | + | 0.147740i | \(0.952800\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.25009 | − | 8.69455i | 0.0553006 | − | 0.384624i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.80102 | − | 8.32307i | −0.167819 | − | 0.367473i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.21783 | + | 8.47019i | 0.0536640 | + | 0.373241i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.87049 | − | 2.01736i | 0.302164 | − | 0.0887233i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.508628 | + | 1.11374i | −0.0223263 | + | 0.0488877i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 14.7482 | + | 17.0203i | 0.646129 | + | 0.745673i | 0.980446 | − | 0.196788i | \(-0.0630510\pi\) |
−0.334317 | + | 0.942461i | \(0.608506\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.86834 | − | 5.05668i | 0.344059 | − | 0.221113i | −0.357187 | − | 0.934033i | \(-0.616264\pi\) |
0.701245 | + | 0.712920i | \(0.252628\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.731362 | + | 0.470018i | 0.0319193 | + | 0.0205133i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 15.8358 | + | 4.64982i | 0.689820 | + | 0.202549i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.8366 | + | 2.73693i | −0.992895 | + | 0.118997i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.3113 | + | 5.37669i | 0.794644 | + | 0.233328i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.37257 | − | 5.38072i | −0.362656 | − | 0.233065i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.223368 | + | 0.143550i | −0.00965703 | + | 0.00620619i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.17502 | − | 4.81823i | −0.180166 | − | 0.207922i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.893187 | + | 1.95581i | −0.0384723 | + | 0.0842425i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.34395 | − | 0.981873i | 0.143768 | − | 0.0422140i | −0.209057 | − | 0.977903i | \(-0.567039\pi\) |
0.352825 | + | 0.935689i | \(0.385221\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.769660 | + | 5.35311i | 0.0330293 | + | 0.229724i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.894871 | − | 1.95950i | −0.0383321 | − | 0.0839355i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.15274 | + | 21.9278i | −0.134801 | + | 0.937565i | 0.804373 | + | 0.594125i | \(0.202501\pi\) |
−0.939175 | + | 0.343440i | \(0.888408\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 23.9590 | − | 27.6501i | 1.02254 | − | 1.18008i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 36.4880 | 1.55444 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 21.9311 | 0.932607 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.926701 | + | 1.06947i | −0.0393363 | + | 0.0453965i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.43243 | − | 23.8731i | 0.145437 | − | 1.01154i | −0.778131 | − | 0.628102i | \(-0.783832\pi\) |
0.923568 | − | 0.383434i | \(-0.125259\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.57395 | − | 12.2053i | −0.235753 | − | 0.516227i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.210381 | − | 1.46323i | −0.00888228 | − | 0.0617776i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −7.87716 | + | 2.31294i | −0.331983 | + | 0.0974789i | −0.443476 | − | 0.896286i | \(-0.646255\pi\) |
0.111493 | + | 0.993765i | \(0.464437\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.468111 | + | 1.02502i | −0.0196936 | + | 0.0431229i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −11.5314 | − | 13.3080i | −0.484275 | − | 0.558883i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −22.6646 | + | 14.5657i | −0.950150 | + | 0.610624i | −0.921255 | − | 0.388958i | \(-0.872835\pi\) |
−0.0288943 | + | 0.999582i | \(0.509199\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.01994 | − | 3.86878i | −0.251927 | − | 0.161903i | 0.408583 | − | 0.912721i | \(-0.366023\pi\) |
−0.660509 | + | 0.750818i | \(0.729660\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.20208 | + | 0.352962i | 0.0502176 | + | 0.0147452i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.07447 | − | 4.67392i | 0.0448083 | − | 0.194916i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.0125 | − | 5.58257i | −0.791500 | − | 0.232405i | −0.139098 | − | 0.990279i | \(-0.544420\pi\) |
−0.652402 | + | 0.757873i | \(0.726239\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.98281 | − | 2.55959i | −0.165520 | − | 0.106373i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.708317 | + | 0.455208i | −0.0293859 | + | 0.0188852i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.94503 | + | 11.4772i | 0.411881 | + | 0.475336i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.70959 | + | 3.74348i | −0.0706829 | + | 0.154774i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −14.1431 | + | 4.15278i | −0.583747 | + | 0.171404i | −0.560255 | − | 0.828320i | \(-0.689297\pi\) |
−0.0234923 | + | 0.999724i | \(0.507479\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.98128 | + | 20.7353i | 0.122841 | + | 0.854381i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.50918 | + | 7.68404i | 0.144349 | + | 0.316079i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.68519 | + | 25.6311i | −0.151333 | + | 1.05254i | 0.762657 | + | 0.646804i | \(0.223895\pi\) |
−0.913989 | + | 0.405738i | \(0.867014\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.83124 | − | 5.57555i | 0.198062 | − | 0.228575i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.154340 | −0.00631673 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −18.9146 | −0.772828 | −0.386414 | − | 0.922325i | \(-0.626286\pi\) | ||||
−0.386414 | + | 0.922325i | \(0.626286\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.0436 | + | 13.8991i | −0.491270 | + | 0.566955i | −0.946204 | − | 0.323569i | \(-0.895117\pi\) |
0.454935 | + | 0.890525i | \(0.349663\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.83416 | + | 19.7120i | −0.115416 | + | 0.802737i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 3.97073 | + | 8.69469i | 0.161433 | + | 0.353490i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.75260 | + | 40.0102i | 0.233491 | + | 1.62396i | 0.682812 | + | 0.730594i | \(0.260757\pi\) |
−0.449321 | + | 0.893370i | \(0.648334\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −7.41855 | + | 2.17828i | −0.300615 | + | 0.0882685i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.57137 | − | 7.82021i | 0.144482 | − | 0.316372i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.32405 | + | 10.7605i | 0.376595 | + | 0.434613i | 0.912131 | − | 0.409899i | \(-0.134436\pi\) |
−0.535536 | + | 0.844512i | \(0.679891\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.21239 | + | 1.42181i | −0.0892120 | + | 0.0573331i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.78985 | + | 5.64890i | 0.353866 | + | 0.227416i | 0.705481 | − | 0.708729i | \(-0.250731\pi\) |
−0.351615 | + | 0.936145i | \(0.614367\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −37.4503 | − | 10.9964i | −1.50526 | − | 0.441983i | −0.577882 | − | 0.816120i | \(-0.696121\pi\) |
−0.927373 | + | 0.374137i | \(0.877939\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 5.23588 | − | 9.32636i | 0.210109 | − | 0.374254i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 22.7947 | + | 6.69313i | 0.913250 | + | 0.268155i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.57847 | − | 1.01442i | 0.0630380 | − | 0.0405120i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 7.86400 | + | 9.07554i | 0.313558 | + | 0.361866i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.1605 | − | 31.0072i | 0.563722 | − | 1.23438i | −0.386351 | − | 0.922352i | \(-0.626265\pi\) |
0.950073 | − | 0.312027i | \(-0.101008\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.95683 | + | 1.16183i | −0.157270 | + | 0.0461786i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.73872 | + | 19.0482i | 0.108683 | + | 0.755905i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.07238 | + | 2.34819i | 0.0424893 | + | 0.0930385i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.24380 | + | 22.5611i | −0.128323 | + | 0.892504i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.4810 | + | 15.5579i | −0.532467 | + | 0.614499i | −0.956708 | − | 0.291050i | \(-0.905995\pi\) |
0.424241 | + | 0.905549i | \(0.360541\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 28.7329 | 1.13312 | 0.566558 | − | 0.824022i | \(-0.308275\pi\) | ||||
0.566558 | + | 0.824022i | \(0.308275\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −3.54555 | −0.139606 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 14.6691 | − | 16.9291i | 0.576702 | − | 0.665550i | −0.390190 | − | 0.920734i | \(-0.627591\pi\) |
0.966892 | + | 0.255184i | \(0.0821362\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.14221 | + | 7.94426i | −0.0448358 | + | 0.311840i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.84401 | − | 4.03781i | −0.0722723 | − | 0.158254i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −4.57266 | − | 31.8035i | −0.178942 | − | 1.24457i | −0.859217 | − | 0.511611i | \(-0.829049\pi\) |
0.680275 | − | 0.732957i | \(-0.261860\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.17439 | + | 1.51934i | −0.202180 | + | 0.0593655i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.56435 | − | 9.99454i | 0.178072 | − | 0.389924i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 10.7632 | + | 12.4214i | 0.419275 | + | 0.483870i | 0.925616 | − | 0.378464i | \(-0.123548\pi\) |
−0.506341 | + | 0.862334i | \(0.669002\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.19554 | − | 1.41099i | 0.0853965 | − | 0.0548810i | −0.497246 | − | 0.867610i | \(-0.665655\pi\) |
0.582642 | + | 0.812729i | \(0.302019\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.49310 | − | 0.959559i | −0.0579873 | − | 0.0372662i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 8.98472 | + | 2.63815i | 0.348413 | + | 0.102303i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 25.1569 | + | 34.4426i | 0.974078 | + | 1.33362i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.812735 | − | 0.238641i | −0.0314222 | − | 0.00922638i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 12.9439 | + | 8.31853i | 0.499693 | + | 0.321133i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 42.3034 | − | 27.1868i | 1.63068 | − | 1.04797i | 0.682181 | − | 0.731183i | \(-0.261032\pi\) |
0.948496 | − | 0.316789i | \(-0.102605\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.46046 | + | 1.68546i | 0.0562131 | + | 0.0648734i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −12.9603 | + | 28.3792i | −0.498106 | + | 1.09070i | 0.478974 | + | 0.877829i | \(0.341009\pi\) |
−0.977080 | + | 0.212872i | \(0.931718\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 22.9057 | − | 6.72573i | 0.879041 | − | 0.258110i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.479367 | + | 3.33407i | 0.0183694 | + | 0.127762i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.18646 | − | 4.78769i | −0.0836627 | − | 0.183196i | 0.863177 | − | 0.504901i | \(-0.168471\pi\) |
−0.946840 | + | 0.321706i | \(0.895744\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.236577 | + | 1.64543i | −0.00903914 | + | 0.0628686i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −4.35097 | + | 5.02129i | −0.166000 | + | 0.191574i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 18.2332 | 0.694631 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.41804 | −0.358279 | −0.179140 | − | 0.983824i | \(-0.557331\pi\) | ||||
−0.179140 | + | 0.983824i | \(0.557331\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 5.12316 | − | 5.91244i | 0.194613 | − | 0.224595i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.0470926 | + | 0.327536i | −0.00178632 | + | 0.0124242i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.27087 | + | 20.3004i | 0.351159 | + | 0.768931i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.19885 | − | 8.33818i | −0.0453446 | − | 0.315379i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −29.1860 | + | 8.56977i | −1.10234 | + | 0.323676i | −0.781781 | − | 0.623553i | \(-0.785688\pi\) |
−0.320558 | + | 0.947229i | \(0.603870\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.33184 | + | 13.8648i | −0.238810 | + | 0.522921i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.48766 | − | 1.71685i | −0.0560285 | − | 0.0646604i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 17.0351 | − | 10.9478i | 0.640670 | − | 0.411734i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 24.4856 | + | 15.7360i | 0.919577 | + | 0.590976i | 0.912535 | − | 0.408999i | \(-0.134122\pi\) |
0.00704223 | + | 0.999975i | \(0.497758\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 26.3215 | + | 7.72868i | 0.987132 | + | 0.289848i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −17.5175 | + | 17.1102i | −0.656035 | + | 0.640783i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.66062 | − | 0.487603i | −0.0621038 | − | 0.0182353i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 7.22504 | + | 4.64325i | 0.269824 | + | 0.173405i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −31.5047 | + | 20.2468i | −1.17493 | + | 0.755079i | −0.974447 | − | 0.224619i | \(-0.927886\pi\) |
−0.200479 | + | 0.979698i | \(0.564250\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −12.7900 | − | 14.7604i | −0.476324 | − | 0.549708i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.81270 | − | 6.15896i | 0.104606 | − | 0.229054i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −8.53323 | + | 2.50558i | −0.316916 | + | 0.0930550i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.186058 | + | 1.29406i | 0.00690051 | + | 0.0479941i | 0.992981 | − | 0.118276i | \(-0.0377367\pi\) |
−0.986080 | + | 0.166270i | \(0.946828\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −8.09137 | − | 17.7176i | −0.299680 | − | 0.656209i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.28191 | + | 29.7814i | −0.158372 | + | 1.10150i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.39350 | + | 9.68662i | −0.310021 | + | 0.357783i | −0.889282 | − | 0.457359i | \(-0.848796\pi\) |
0.579261 | + | 0.815142i | \(0.303341\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.682133 | 0.0251609 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −8.37517 | −0.308503 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 24.0184 | − | 27.7187i | 0.883532 | − | 1.01965i | −0.116119 | − | 0.993235i | \(-0.537045\pi\) |
0.999651 | − | 0.0264153i | \(-0.00840924\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.320602 | − | 2.22983i | 0.0117776 | − | 0.0819150i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 6.49549 | + | 14.2231i | 0.238296 | + | 0.521796i | 0.990562 | − | 0.137063i | \(-0.0437664\pi\) |
−0.752266 | + | 0.658860i | \(0.771039\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.989715 | − | 6.88362i | −0.0362603 | − | 0.252196i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.01053 | + | 0.296719i | −0.0369734 | + | 0.0108564i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.251745 | − | 0.551245i | 0.00919856 | − | 0.0201420i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.0913 | − | 28.9569i | −0.915596 | − | 1.05665i | −0.998194 | − | 0.0600712i | \(-0.980867\pi\) |
0.0825981 | − | 0.996583i | \(-0.473678\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −8.81786 | + | 5.66689i | −0.321341 | + | 0.206513i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.34123 | − | 1.50462i | −0.0852062 | − | 0.0547587i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 47.7878 | + | 14.0318i | 1.73688 | + | 0.509993i | 0.988230 | − | 0.152977i | \(-0.0488861\pi\) |
0.748646 | + | 0.662970i | \(0.230704\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2.04584 | + | 0.790589i | 0.0742594 | + | 0.0286966i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.3538 | + | 4.21467i | 0.520326 | + | 0.152782i | 0.531341 | − | 0.847158i | \(-0.321688\pi\) |
−0.0110153 | + | 0.999939i | \(0.503506\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.13610 | + | 2.65811i | 0.149737 | + | 0.0962299i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 7.76325 | − | 4.98914i | 0.280681 | − | 0.180383i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 6.31034 | + | 7.28252i | 0.227853 | + | 0.262956i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 20.1449 | − | 44.1113i | 0.726445 | − | 1.59069i | −0.0782001 | − | 0.996938i | \(-0.524917\pi\) |
0.804645 | − | 0.593756i | \(-0.202355\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.90833 | + | 1.14759i | −0.140755 | + | 0.0413294i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.941508 | − | 6.54833i | −0.0338637 | − | 0.235527i | 0.965859 | − | 0.259068i | \(-0.0834152\pi\) |
−0.999723 | + | 0.0235405i | \(0.992506\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.12108 | − | 4.64452i | −0.0761914 | − | 0.166836i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.459649 | − | 3.19693i | 0.0164898 | − | 0.114689i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −18.5498 | + | 21.4077i | −0.664617 | + | 0.767009i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.58568 | −0.343002 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −19.8341 | −0.708813 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.08142 | − | 8.17240i | 0.252747 | − | 0.291685i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.18809 | + | 8.26333i | −0.0423507 | + | 0.294556i | 0.957628 | + | 0.288009i | \(0.0929932\pi\) |
−0.999979 | + | 0.00654730i | \(0.997916\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.30493 | + | 7.23679i | 0.117659 | + | 0.257637i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.366018 | − | 2.54571i | −0.0130141 | − | 0.0905150i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.7250 | − | 5.20453i | 0.629434 | − | 0.184818i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.00147 | − | 4.38260i | 0.0709847 | − | 0.155435i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −9.10091 | − | 10.5030i | −0.322371 | − | 0.372036i | 0.571314 | − | 0.820732i | \(-0.306434\pi\) |
−0.893684 | + | 0.448696i | \(0.851889\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −16.2176 | + | 10.4224i | −0.573737 | + | 0.368718i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 24.9992 | + | 16.0660i | 0.883303 | + | 0.567665i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.43361 | + | 1.30183i | 0.156459 | + | 0.0459405i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.70431 | + | 10.3000i | 0.130560 | + | 0.363026i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −4.06634 | − | 1.19398i | −0.143142 | − | 0.0420302i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −18.6538 | − | 11.9880i | −0.655831 | − | 0.421477i | 0.169962 | − | 0.985451i | \(-0.445636\pi\) |
−0.825793 | + | 0.563974i | \(0.809272\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.08109 | − | 0.694775i | 0.0379622 | − | 0.0243968i | −0.521522 | − | 0.853238i | \(-0.674636\pi\) |
0.559484 | + | 0.828841i | \(0.310999\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.50339 | − | 1.73501i | −0.0527263 | − | 0.0608494i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −8.27476 | + | 18.1192i | −0.289852 | + | 0.634688i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −36.6423 | + | 10.7591i | −1.28195 | + | 0.376415i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.33674 | − | 9.29720i | −0.0467093 | − | 0.324871i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.239706 | − | 0.524882i | −0.00836578 | − | 0.0183185i | 0.905403 | − | 0.424553i | \(-0.139569\pi\) |
−0.913769 | + | 0.406235i | \(0.866842\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.21292 | + | 29.3015i | −0.146853 | + | 1.02139i | 0.774476 | + | 0.632604i | \(0.218014\pi\) |
−0.921329 | + | 0.388784i | \(0.872895\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.299489 | + | 0.345628i | −0.0104269 | + | 0.0120332i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −45.0861 | −1.56780 | −0.783898 | − | 0.620890i | \(-0.786772\pi\) | ||||
−0.783898 | + | 0.620890i | \(0.786772\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 25.4899 | 0.885300 | 0.442650 | − | 0.896694i | \(-0.354038\pi\) | ||||
0.442650 | + | 0.896694i | \(0.354038\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.18350 | + | 2.51989i | −0.0757447 | + | 0.0874140i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.823803 | − | 5.72968i | 0.0285431 | − | 0.198522i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.34766 | − | 13.8994i | −0.219670 | − | 0.481010i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.62056 | − | 11.2713i | −0.0560148 | − | 0.389591i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 13.9704 | − | 4.10208i | 0.482311 | − | 0.141619i | −0.0315332 | − | 0.999503i | \(-0.510039\pi\) |
0.513845 | + | 0.857883i | \(0.328221\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.8098 | − | 45.5671i | 0.717580 | − | 1.57128i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −0.592974 | − | 0.684328i | −0.0204231 | − | 0.0235695i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 9.18821 | − | 5.90490i | 0.316084 | − | 0.203135i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −18.3527 | − | 11.7946i | −0.630607 | − | 0.405267i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.17592 | + | 0.345282i | 0.0403576 | + | 0.0118501i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −17.4531 | + | 3.58227i | −0.598286 | + | 0.122799i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −41.2422 | − | 12.1098i | −1.41211 | − | 0.414632i | −0.515282 | − | 0.857020i | \(-0.672313\pi\) |
−0.896823 | + | 0.442389i | \(0.854131\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 9.85364 | + | 6.33255i | 0.336987 | + | 0.216569i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 2.33470 | − | 1.50042i | 0.0797520 | − | 0.0512535i | −0.500157 | − | 0.865935i | \(-0.666724\pi\) |
0.579909 | + | 0.814681i | \(0.303088\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 36.6739 | + | 42.3239i | 1.25130 | + | 1.44407i | 0.848852 | + | 0.528630i | \(0.177294\pi\) |
0.402445 | + | 0.915444i | \(0.368160\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.49346 | − | 5.45990i | 0.0849767 | − | 0.186073i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.601182 | − | 0.176523i | 0.0204645 | − | 0.00600891i | −0.271484 | − | 0.962443i | \(-0.587515\pi\) |
0.291949 | + | 0.956434i | \(0.405696\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.457454 | − | 3.18166i | −0.0155539 | − | 0.108180i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.03670 | − | 2.27005i | −0.0352080 | − | 0.0770949i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.64186 | + | 11.4194i | −0.0556965 | + | 0.387377i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.58490 | + | 7.59938i | −0.223121 | + | 0.257495i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 29.8614 | 1.01065 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.28237 | −0.0771580 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.16860 | + | 5.96488i | −0.174531 | + | 0.201420i | −0.836275 | − | 0.548310i | \(-0.815271\pi\) |
0.661744 | + | 0.749730i | \(0.269817\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.506092 | + | 3.51995i | −0.0170701 | + | 0.118725i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 5.36376 | + | 11.7450i | 0.180710 | + | 0.395699i | 0.978209 | − | 0.207620i | \(-0.0665719\pi\) |
−0.797500 | + | 0.603319i | \(0.793845\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.49137 | − | 10.3727i | −0.0501887 | − | 0.349070i | −0.999406 | − | 0.0344502i | \(-0.989032\pi\) |
0.949218 | − | 0.314620i | \(-0.101877\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.44314 | − | 0.717370i | 0.0821251 | − | 0.0241141i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.97943 | − | 4.33436i | 0.0664629 | − | 0.145533i | −0.873485 | − | 0.486850i | \(-0.838146\pi\) |
0.939948 | + | 0.341317i | \(0.110873\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −28.7628 | − | 33.1940i | −0.964673 | − | 1.11329i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 7.79268 | − | 5.00805i | 0.261065 | − | 0.167776i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −20.5844 | − | 13.2288i | −0.688832 | − | 0.442686i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.0595 | + | 4.71549i | 0.536809 | + | 0.157621i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2.32588 | − | 1.23475i | 0.0776590 | − | 0.0412269i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 43.5701 | + | 12.7933i | 1.45314 | + | 0.426682i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −34.3952 | − | 22.1044i | −1.14587 | − | 0.736405i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.80762 | − | 4.37499i | 0.226544 | − | 0.145591i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −9.29775 | − | 10.7302i | −0.309068 | − | 0.356683i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.87504 | + | 4.10577i | −0.0622597 | + | 0.136330i | −0.938204 | − | 0.346082i | \(-0.887512\pi\) |
0.875945 | + | 0.482412i | \(0.160239\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 24.3033 | − | 7.13610i | 0.806091 | − | 0.236690i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.48769 | + | 17.3023i | 0.0824210 | + | 0.573251i | 0.988624 | + | 0.150408i | \(0.0480587\pi\) |
−0.906203 | + | 0.422843i | \(0.861032\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.183996 | − | 0.402895i | −0.00608939 | − | 0.0133339i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.694700 | − | 4.83174i | 0.0229661 | − | 0.159733i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 8.06031 | − | 9.30209i | 0.266175 | − | 0.307182i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.72003 | −0.188686 | −0.0943431 | − | 0.995540i | \(-0.530075\pi\) | ||||
−0.0943431 | + | 0.995540i | \(0.530075\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.72414 | −0.122715 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −7.53665 | + | 8.69776i | −0.248072 | + | 0.286290i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.528714 | − | 3.67728i | 0.0173840 | − | 0.120908i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −10.1487 | − | 22.2226i | −0.333327 | − | 0.729885i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −5.71568 | − | 39.7534i | −0.187525 | − | 1.30427i | −0.838389 | − | 0.545072i | \(-0.816502\pi\) |
0.650864 | − | 0.759195i | \(-0.274407\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.04966 | − | 2.06997i | 0.231043 | − | 0.0678404i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −1.50469 | + | 3.29482i | −0.0492614 | + | 0.107868i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.54147 | + | 2.93301i | 0.0831149 | + | 0.0959197i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 39.2521 | − | 25.2258i | 1.28231 | − | 0.824090i | 0.291138 | − | 0.956681i | \(-0.405966\pi\) |
0.991171 | + | 0.132591i | \(0.0423297\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1.85376 | + | 1.19134i | 0.0604952 | + | 0.0388779i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −12.1122 | − | 3.55648i | −0.394848 | − | 0.115938i | 0.0782803 | − | 0.996931i | \(-0.475057\pi\) |
−0.473128 | + | 0.880994i | \(0.656875\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −32.9970 | − | 2.75037i | −1.07453 | − | 0.0895644i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −4.88391 | − | 1.43404i | −0.158874 | − | 0.0466495i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −4.95977 | − | 3.18745i | −0.161171 | − | 0.103578i | 0.457569 | − | 0.889174i | \(-0.348720\pi\) |
−0.618740 | + | 0.785596i | \(0.712357\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.66713 | − | 2.99938i | 0.151501 | − | 0.0973640i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.58747 | + | 2.98610i | 0.0839044 | + | 0.0968309i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −16.0419 | + | 35.1269i | −0.519649 | + | 1.13787i | 0.449923 | + | 0.893067i | \(0.351451\pi\) |
−0.969572 | + | 0.244806i | \(0.921276\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.15583 | + | 0.926634i | −0.102120 | + | 0.0299852i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.578833 | − | 4.02587i | −0.0187110 | − | 0.130138i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.57612 | − | 3.45122i | −0.0508956 | − | 0.111446i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.701537 | − | 4.87930i | 0.0226302 | − | 0.157397i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.496403 | − | 0.572880i | 0.0159964 | − | 0.0184608i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 12.4292 | 0.400109 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 39.5246 | 1.27103 | 0.635513 | − | 0.772090i | \(-0.280789\pi\) | ||||
0.635513 | + | 0.772090i | \(0.280789\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.30804 | + | 3.81769i | −0.106270 | + | 0.122642i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.79629 | + | 12.4935i | −0.0576458 | + | 0.400935i | 0.940486 | + | 0.339833i | \(0.110371\pi\) |
−0.998132 | + | 0.0611022i | \(0.980538\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.313740 | − | 0.686995i | −0.0100580 | − | 0.0220240i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.0781427 | + | 0.543494i | 0.00250257 | + | 0.0174058i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −32.6342 | + | 9.58226i | −1.04406 | + | 0.306564i | −0.758415 | − | 0.651772i | \(-0.774026\pi\) |
−0.285645 | + | 0.958336i | \(0.592208\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.19159 | + | 11.3680i | −0.165924 | + | 0.363323i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.02735 | + | 4.64781i | 0.128583 | + | 0.148393i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −25.8434 | + | 16.6085i | −0.824275 | + | 0.529729i | −0.883454 | − | 0.468518i | \(-0.844788\pi\) |
0.0591789 | + | 0.998247i | \(0.481152\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −18.6565 | − | 11.9898i | −0.594446 | − | 0.382027i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 4.97487 | + | 1.46075i | 0.158352 | + | 0.0464963i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −35.4193 | − | 27.1703i | −1.12627 | − | 0.863966i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −51.0971 | − | 15.0035i | −1.62315 | − | 0.476601i | −0.661290 | − | 0.750131i | \(-0.729991\pi\) |
−0.961864 | + | 0.273530i | \(0.911809\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 10.2604 | + | 6.59397i | 0.325604 | + | 0.209253i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.340868 | − | 0.219062i | 0.0108062 | − | 0.00694475i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.1577 | − | 18.6469i | −0.511718 | − | 0.590555i | 0.439819 | − | 0.898086i | \(-0.355042\pi\) |
−0.951538 | + | 0.307532i | \(0.900497\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 3.44186 | − | 7.53662i | 0.108896 | − | 0.238448i |
(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.b.41.3 | ✓ | 50 | |
23.9 | even | 11 | inner | 460.2.m.b.101.3 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.b.41.3 | ✓ | 50 | 1.1 | even | 1 | trivial | |
460.2.m.b.101.3 | yes | 50 | 23.9 | even | 11 | inner |