Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [342,2,Mod(55,342)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(342, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("342.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 342 = 2 \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 342.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.73088374913\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 342.271 |
Dual form | 342.2.u.b.289.1 |
$q$-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 \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.0923963 | + | 0.0775297i | 0.0413209 | + | 0.0346723i | 0.663214 | − | 0.748430i | \(-0.269192\pi\) |
−0.621893 | + | 0.783102i | \(0.713636\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.14543 | + | 3.71599i | 0.810896 | + | 1.40451i | 0.912238 | + | 0.409662i | \(0.134353\pi\) |
−0.101341 | + | 0.994852i | \(0.532313\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.113341 | + | 0.0412527i | 0.0358415 | + | 0.0130452i | ||||
\(11\) | 1.28699 | − | 2.22913i | 0.388042 | − | 0.672108i | −0.604144 | − | 0.796875i | \(-0.706485\pi\) |
0.992186 | + | 0.124767i | \(0.0398183\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.141559 | + | 0.802823i | 0.0392615 | + | 0.222663i | 0.998125 | − | 0.0612035i | \(-0.0194939\pi\) |
−0.958864 | + | 0.283866i | \(0.908383\pi\) | |||||||
\(14\) | 3.28699 | + | 2.75811i | 0.878485 | + | 0.737136i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −0.439693 | + | 0.160035i | −0.106641 | + | 0.0388142i | −0.394790 | − | 0.918772i | \(-0.629183\pi\) |
0.288149 | + | 0.957586i | \(0.406960\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.16637 | − | 2.99568i | 0.726416 | − | 0.687255i | ||||
\(20\) | 0.120615 | 0.0269703 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.446967 | − | 2.53487i | 0.0952936 | − | 0.540437i | ||||
\(23\) | −4.25490 | + | 3.57029i | −0.887208 | + | 0.744456i | −0.967648 | − | 0.252304i | \(-0.918812\pi\) |
0.0804401 | + | 0.996759i | \(0.474367\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.865715 | − | 4.90971i | −0.173143 | − | 0.981942i | ||||
\(26\) | 0.407604 | + | 0.705990i | 0.0799377 | + | 0.138456i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.03209 | + | 1.46756i | 0.761993 | + | 0.277343i | ||||
\(29\) | 2.20574 | + | 0.802823i | 0.409595 | + | 0.149080i | 0.538596 | − | 0.842564i | \(-0.318955\pi\) |
−0.129001 | + | 0.991644i | \(0.541177\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.67365 | − | 4.63089i | −0.480201 | − | 0.831733i | 0.519541 | − | 0.854446i | \(-0.326103\pi\) |
−0.999742 | + | 0.0227125i | \(0.992770\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.358441 | + | 0.300767i | −0.0614721 | + | 0.0515812i | ||||
\(35\) | −0.0898700 | + | 0.509678i | −0.0151908 | + | 0.0861514i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.51754 | −1.40028 | −0.700138 | − | 0.714008i | \(-0.746878\pi\) | ||||
−0.700138 | + | 0.714008i | \(0.746878\pi\) | |||||||
\(38\) | 1.95084 | − | 3.89798i | 0.316468 | − | 0.632336i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.113341 | − | 0.0412527i | 0.0179208 | − | 0.00652262i | ||||
\(41\) | −0.666374 | + | 3.77920i | −0.104070 | + | 0.590211i | 0.887517 | + | 0.460774i | \(0.152428\pi\) |
−0.991588 | + | 0.129437i | \(0.958683\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.14930 | + | 5.99898i | 1.09026 | + | 0.914835i | 0.996732 | − | 0.0807817i | \(-0.0257417\pi\) |
0.0935262 | + | 0.995617i | \(0.470186\pi\) | |||||||
\(44\) | −0.446967 | − | 2.53487i | −0.0673827 | − | 0.382147i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.77719 | + | 4.81023i | −0.409474 | + | 0.709230i | ||||
\(47\) | −8.90420 | − | 3.24086i | −1.29881 | − | 0.472729i | −0.402202 | − | 0.915551i | \(-0.631755\pi\) |
−0.896609 | + | 0.442822i | \(0.853977\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.70574 | + | 9.88263i | −0.815105 | + | 1.41180i | ||||
\(50\) | −2.49273 | − | 4.31753i | −0.352525 | − | 0.610591i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.624485 | + | 0.524005i | 0.0866005 | + | 0.0726665i | ||||
\(53\) | −9.77379 | + | 8.20118i | −1.34253 | + | 1.12652i | −0.361565 | + | 0.932347i | \(0.617757\pi\) |
−0.980968 | + | 0.194172i | \(0.937798\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.291737 | − | 0.106183i | 0.0393378 | − | 0.0143178i | ||||
\(56\) | 4.29086 | 0.573390 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.34730 | 0.308215 | ||||||||
\(59\) | 14.1420 | − | 5.14728i | 1.84113 | − | 0.670118i | 0.851915 | − | 0.523680i | \(-0.175441\pi\) |
0.989220 | − | 0.146439i | \(-0.0467811\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.31521 | + | 1.10359i | −0.168395 | + | 0.141300i | −0.723091 | − | 0.690753i | \(-0.757279\pi\) |
0.554696 | + | 0.832053i | \(0.312835\pi\) | |||||||
\(62\) | −4.09627 | − | 3.43718i | −0.520226 | − | 0.436522i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.0491630 | + | 0.0851529i | −0.00609792 | + | 0.0105619i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.7652 | − | 3.91820i | −1.31517 | − | 0.478684i | −0.413266 | − | 0.910611i | \(-0.635612\pi\) |
−0.901909 | + | 0.431926i | \(0.857834\pi\) | |||||||
\(68\) | −0.233956 | + | 0.405223i | −0.0283713 | + | 0.0491405i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.0898700 | + | 0.509678i | 0.0107415 | + | 0.0609182i | ||||
\(71\) | −10.2135 | − | 8.57013i | −1.21212 | − | 1.01709i | −0.999199 | − | 0.0400167i | \(-0.987259\pi\) |
−0.212918 | − | 0.977070i | \(-0.568297\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.396459 | − | 2.24843i | 0.0464021 | − | 0.263159i | −0.952777 | − | 0.303671i | \(-0.901788\pi\) |
0.999179 | + | 0.0405117i | \(0.0128988\pi\) | |||||||
\(74\) | −8.00387 | + | 2.91317i | −0.930431 | + | 0.338649i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.500000 | − | 4.33013i | 0.0573539 | − | 0.496700i | ||||
\(77\) | 11.0446 | 1.25865 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.843426 | − | 4.78331i | 0.0948928 | − | 0.538164i | −0.899887 | − | 0.436122i | \(-0.856351\pi\) |
0.994780 | − | 0.102042i | \(-0.0325375\pi\) | |||||||
\(80\) | 0.0923963 | − | 0.0775297i | 0.0103302 | − | 0.00866808i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.666374 | + | 3.77920i | 0.0735887 | + | 0.417342i | ||||
\(83\) | 1.62449 | + | 2.81369i | 0.178310 | + | 0.308843i | 0.941302 | − | 0.337566i | \(-0.109604\pi\) |
−0.762992 | + | 0.646408i | \(0.776270\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.0530334 | − | 0.0193026i | −0.00575228 | − | 0.00209366i | ||||
\(86\) | 8.76991 | + | 3.19199i | 0.945684 | + | 0.344201i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.28699 | − | 2.22913i | −0.137193 | − | 0.237626i | ||||
\(89\) | −0.595800 | − | 3.37895i | −0.0631547 | − | 0.358168i | −0.999965 | − | 0.00833100i | \(-0.997348\pi\) |
0.936811 | − | 0.349837i | \(-0.113763\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.67958 | + | 2.24843i | −0.280896 | + | 0.235700i | ||||
\(92\) | −0.964508 | + | 5.46999i | −0.100557 | + | 0.570286i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −9.47565 | −0.977339 | ||||||||
\(95\) | 0.524815 | − | 0.0313013i | 0.0538449 | − | 0.00321145i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.91400 | + | 1.06061i | −0.295872 | + | 0.107689i | −0.485691 | − | 0.874130i | \(-0.661432\pi\) |
0.189819 | + | 0.981819i | \(0.439210\pi\) | |||||||
\(98\) | −1.98158 | + | 11.2381i | −0.200170 | + | 1.13522i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.81908 | − | 3.20459i | −0.381908 | − | 0.320459i | ||||
\(101\) | 2.90508 | + | 16.4755i | 0.289066 | + | 1.63937i | 0.690389 | + | 0.723438i | \(0.257439\pi\) |
−0.401323 | + | 0.915937i | \(0.631450\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.19846 | − | 9.00400i | 0.512220 | − | 0.887191i | −0.487680 | − | 0.873023i | \(-0.662157\pi\) |
0.999900 | − | 0.0141681i | \(-0.00451001\pi\) | |||||||
\(104\) | 0.766044 | + | 0.278817i | 0.0751168 | + | 0.0273403i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.37939 | + | 11.0494i | −0.619621 | + | 1.07321i | ||||
\(107\) | −4.55690 | − | 7.89279i | −0.440533 | − | 0.763025i | 0.557196 | − | 0.830381i | \(-0.311877\pi\) |
−0.997729 | + | 0.0673560i | \(0.978544\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.93376 | + | 2.46172i | 0.281004 | + | 0.235790i | 0.772385 | − | 0.635154i | \(-0.219064\pi\) |
−0.491382 | + | 0.870944i | \(0.663508\pi\) | |||||||
\(110\) | 0.237826 | − | 0.199560i | 0.0226758 | − | 0.0190273i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.03209 | − | 1.46756i | 0.380997 | − | 0.138671i | ||||
\(113\) | −5.41147 | −0.509069 | −0.254534 | − | 0.967064i | \(-0.581922\pi\) | ||||
−0.254534 | + | 0.967064i | \(0.581922\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.669940 | −0.0624722 | ||||||||
\(116\) | 2.20574 | − | 0.802823i | 0.204798 | − | 0.0745402i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.5287 | − | 9.67372i | 1.06130 | − | 0.890538i | ||||
\(119\) | −1.53802 | − | 1.29055i | −0.140990 | − | 0.118305i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.18732 | + | 3.78855i | 0.198847 | + | 0.344413i | ||||
\(122\) | −0.858441 | + | 1.48686i | −0.0777196 | + | 0.134614i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.02481 | − | 1.82888i | −0.451242 | − | 0.164239i | ||||
\(125\) | 0.602196 | − | 1.04303i | 0.0538621 | − | 0.0932919i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.736482 | + | 4.17680i | 0.0653522 | + | 0.370631i | 0.999891 | + | 0.0147693i | \(0.00470138\pi\) |
−0.934539 | + | 0.355861i | \(0.884188\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0170741 | + | 0.0968323i | −0.00149750 | + | 0.00849275i | ||||
\(131\) | 19.7738 | − | 7.19707i | 1.72764 | − | 0.628811i | 0.729185 | − | 0.684316i | \(-0.239899\pi\) |
0.998458 | + | 0.0555055i | \(0.0176770\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 17.9251 | + | 5.33921i | 1.55431 | + | 0.462968i | ||||
\(134\) | −11.4561 | −0.989652 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.0812519 | + | 0.460802i | −0.00696729 | + | 0.0395135i | ||||
\(137\) | 9.43835 | − | 7.91971i | 0.806373 | − | 0.676627i | −0.143367 | − | 0.989670i | \(-0.545793\pi\) |
0.949739 | + | 0.313043i | \(0.101348\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.970437 | − | 5.50362i | −0.0823114 | − | 0.466811i | −0.997904 | − | 0.0647050i | \(-0.979389\pi\) |
0.915593 | − | 0.402106i | \(-0.131722\pi\) | |||||||
\(140\) | 0.258770 | + | 0.448204i | 0.0218701 | + | 0.0378801i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −12.5287 | − | 4.56007i | −1.05138 | − | 0.382672i | ||||
\(143\) | 1.97178 | + | 0.717670i | 0.164889 | + | 0.0600146i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.141559 | + | 0.245188i | 0.0117559 | + | 0.0203617i | ||||
\(146\) | −0.396459 | − | 2.24843i | −0.0328112 | − | 0.186082i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.52481 | + | 5.47497i | −0.536336 | + | 0.450040i | ||||
\(149\) | −1.92649 | + | 10.9257i | −0.157824 | + | 0.895065i | 0.798334 | + | 0.602215i | \(0.205715\pi\) |
−0.956158 | + | 0.292850i | \(0.905396\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.5963 | 1.02507 | 0.512535 | − | 0.858666i | \(-0.328707\pi\) | ||||
0.512535 | + | 0.858666i | \(0.328707\pi\) | |||||||
\(152\) | −1.01114 | − | 4.24000i | −0.0820146 | − | 0.343909i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 10.3785 | − | 3.77747i | 0.836324 | − | 0.304397i | ||||
\(155\) | 0.111997 | − | 0.635164i | 0.00899579 | − | 0.0510176i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.04710 | − | 2.55682i | −0.243185 | − | 0.204057i | 0.513046 | − | 0.858361i | \(-0.328517\pi\) |
−0.756231 | + | 0.654304i | \(0.772962\pi\) | |||||||
\(158\) | −0.843426 | − | 4.78331i | −0.0670994 | − | 0.380539i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.0603074 | − | 0.104455i | 0.00476772 | − | 0.00825793i | ||||
\(161\) | −22.3957 | − | 8.15138i | −1.76503 | − | 0.642419i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.60014 | + | 16.6279i | −0.751941 | + | 1.30240i | 0.194940 | + | 0.980815i | \(0.437549\pi\) |
−0.946881 | + | 0.321584i | \(0.895785\pi\) | |||||||
\(164\) | 1.91875 | + | 3.32337i | 0.149829 | + | 0.259512i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.48886 | + | 2.08840i | 0.193173 | + | 0.162091i | ||||
\(167\) | 11.7777 | − | 9.88263i | 0.911382 | − | 0.764741i | −0.0609991 | − | 0.998138i | \(-0.519429\pi\) |
0.972381 | + | 0.233397i | \(0.0749842\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.5915 | − | 4.21897i | 0.891655 | − | 0.324536i | ||||
\(170\) | −0.0564370 | −0.00432852 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.33275 | 0.711615 | ||||||||
\(173\) | −6.19594 | + | 2.25514i | −0.471068 | + | 0.171455i | −0.566636 | − | 0.823968i | \(-0.691756\pi\) |
0.0955679 | + | 0.995423i | \(0.469533\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 16.3871 | − | 13.7504i | 1.23875 | − | 1.03943i | ||||
\(176\) | −1.97178 | − | 1.65452i | −0.148629 | − | 0.124714i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.71554 | − | 2.97140i | −0.128585 | − | 0.222716i | ||||
\(179\) | 0.620615 | − | 1.07494i | 0.0463869 | − | 0.0803445i | −0.841900 | − | 0.539634i | \(-0.818563\pi\) |
0.888287 | + | 0.459290i | \(0.151896\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.78699 | − | 1.37835i | −0.281485 | − | 0.102452i | 0.197420 | − | 0.980319i | \(-0.436744\pi\) |
−0.478905 | + | 0.877867i | \(0.658966\pi\) | |||||||
\(182\) | −1.74897 | + | 3.02931i | −0.129642 | + | 0.224547i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.964508 | + | 5.46999i | 0.0711044 | + | 0.403253i | ||||
\(185\) | −0.786989 | − | 0.660362i | −0.0578606 | − | 0.0485508i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.209141 | + | 1.18610i | −0.0152939 | + | 0.0867359i | ||||
\(188\) | −8.90420 | + | 3.24086i | −0.649406 | + | 0.236364i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.482459 | − | 0.208911i | 0.0350013 | − | 0.0151560i | ||||
\(191\) | 24.0847 | 1.74271 | 0.871354 | − | 0.490654i | \(-0.163242\pi\) | ||||
0.871354 | + | 0.490654i | \(0.163242\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.71213 | + | 9.70999i | −0.123242 | + | 0.698941i | 0.859094 | + | 0.511817i | \(0.171028\pi\) |
−0.982336 | + | 0.187123i | \(0.940084\pi\) | |||||||
\(194\) | −2.37551 | + | 1.99329i | −0.170552 | + | 0.143110i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.98158 | + | 11.2381i | 0.141542 | + | 0.802722i | ||||
\(197\) | −3.22803 | − | 5.59110i | −0.229987 | − | 0.398350i | 0.727817 | − | 0.685772i | \(-0.240535\pi\) |
−0.957804 | + | 0.287422i | \(0.907202\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −23.2777 | − | 8.47237i | −1.65011 | − | 0.600591i | −0.661346 | − | 0.750081i | \(-0.730015\pi\) |
−0.988763 | + | 0.149490i | \(0.952237\pi\) | |||||||
\(200\) | −4.68479 | − | 1.70513i | −0.331265 | − | 0.120571i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.36484 | + | 14.4883i | 0.588548 | + | 1.01939i | ||||
\(203\) | 1.74897 | + | 9.91890i | 0.122754 | + | 0.696171i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.354570 | + | 0.297520i | −0.0247643 | + | 0.0207797i | ||||
\(206\) | 1.80541 | − | 10.2390i | 0.125789 | − | 0.713383i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.815207 | 0.0565245 | ||||||||
\(209\) | −2.60266 | − | 10.9137i | −0.180030 | − | 0.754914i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.30066 | − | 0.473401i | 0.0895411 | − | 0.0325903i | −0.296861 | − | 0.954921i | \(-0.595940\pi\) |
0.386402 | + | 0.922330i | \(0.373718\pi\) | |||||||
\(212\) | −2.21554 | + | 12.5649i | −0.152164 | + | 0.862963i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.98158 | − | 5.85824i | −0.477251 | − | 0.400461i | ||||
\(215\) | 0.195470 | + | 1.10857i | 0.0133309 | + | 0.0756036i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 11.4722 | − | 19.8705i | 0.778787 | − | 1.34890i | ||||
\(218\) | 3.59879 | + | 1.30985i | 0.243741 | + | 0.0887145i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.155230 | − | 0.268866i | 0.0104656 | − | 0.0181269i | ||||
\(221\) | −0.190722 | − | 0.330341i | −0.0128294 | − | 0.0222211i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 17.0929 | + | 14.3426i | 1.14462 | + | 0.960453i | 0.999580 | − | 0.0289729i | \(-0.00922364\pi\) |
0.145043 | + | 0.989425i | \(0.453668\pi\) | |||||||
\(224\) | 3.28699 | − | 2.75811i | 0.219621 | − | 0.184284i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.08512 | + | 1.85083i | −0.338257 | + | 0.123116i | ||||
\(227\) | 20.7665 | 1.37832 | 0.689161 | − | 0.724608i | \(-0.257979\pi\) | ||||
0.689161 | + | 0.724608i | \(0.257979\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.51754 | 0.364609 | 0.182305 | − | 0.983242i | \(-0.441644\pi\) | ||||
0.182305 | + | 0.983242i | \(0.441644\pi\) | |||||||
\(230\) | −0.629538 | + | 0.229133i | −0.0415105 | + | 0.0151086i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.79813 | − | 1.50881i | 0.118053 | − | 0.0990584i | ||||
\(233\) | 11.5569 | + | 9.69739i | 0.757118 | + | 0.635297i | 0.937375 | − | 0.348322i | \(-0.113248\pi\) |
−0.180257 | + | 0.983620i | \(0.557693\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.571452 | − | 0.989783i | −0.0372774 | − | 0.0645664i | ||||
\(236\) | 7.52481 | − | 13.0334i | 0.489824 | − | 0.848400i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.88666 | − | 0.686688i | −0.122294 | − | 0.0445114i | ||||
\(239\) | −14.4757 | + | 25.0726i | −0.936352 | + | 1.62181i | −0.164147 | + | 0.986436i | \(0.552487\pi\) |
−0.772205 | + | 0.635374i | \(0.780846\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.36349 | − | 19.0753i | −0.216662 | − | 1.22875i | −0.878000 | − | 0.478661i | \(-0.841122\pi\) |
0.661338 | − | 0.750088i | \(-0.269989\pi\) | |||||||
\(242\) | 3.35117 | + | 2.81196i | 0.215421 | + | 0.180760i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.298133 | + | 1.69080i | −0.0190860 | + | 0.108242i | ||||
\(245\) | −1.29339 | + | 0.470754i | −0.0826314 | + | 0.0300754i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.85323 | + | 2.11797i | 0.181546 | + | 0.134763i | ||||
\(248\) | −5.34730 | −0.339554 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.209141 | − | 1.18610i | 0.0132272 | − | 0.0750153i | ||||
\(251\) | 3.32635 | − | 2.79114i | 0.209957 | − | 0.176175i | −0.531745 | − | 0.846905i | \(-0.678463\pi\) |
0.741702 | + | 0.670730i | \(0.234019\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.48262 | + | 14.0796i | 0.156081 | + | 0.885180i | ||||
\(254\) | 2.12061 | + | 3.67301i | 0.133059 | + | 0.230465i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 16.6951 | + | 6.07650i | 1.04141 | + | 0.379042i | 0.805414 | − | 0.592712i | \(-0.201943\pi\) |
0.235995 | + | 0.971754i | \(0.424165\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −18.2738 | − | 31.6511i | −1.13548 | − | 1.96671i | ||||
\(260\) | 0.0170741 | + | 0.0968323i | 0.00105889 | + | 0.00600528i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 16.1197 | − | 13.5261i | 0.995881 | − | 0.835643i | ||||
\(263\) | 0.401674 | − | 2.27801i | 0.0247683 | − | 0.140468i | −0.969916 | − | 0.243440i | \(-0.921724\pi\) |
0.994684 | + | 0.102972i | \(0.0328352\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.53890 | −0.0945336 | ||||||||
\(266\) | 18.6702 | − | 1.11354i | 1.14475 | − | 0.0682756i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.7652 | + | 3.91820i | −0.657587 | + | 0.239342i | ||||
\(269\) | 0.489322 | − | 2.77509i | 0.0298345 | − | 0.169200i | −0.966250 | − | 0.257606i | \(-0.917066\pi\) |
0.996084 | + | 0.0884063i | \(0.0281774\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.12449 | − | 4.29995i | −0.311290 | − | 0.261204i | 0.473735 | − | 0.880668i | \(-0.342906\pi\) |
−0.785025 | + | 0.619464i | \(0.787350\pi\) | |||||||
\(272\) | 0.0812519 | + | 0.460802i | 0.00492662 | + | 0.0279403i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.16044 | − | 10.6702i | 0.372166 | − | 0.644611i | ||||
\(275\) | −12.0586 | − | 4.38895i | −0.727158 | − | 0.264664i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.12583 | + | 7.14615i | −0.247897 | + | 0.429370i | −0.962942 | − | 0.269708i | \(-0.913073\pi\) |
0.715045 | + | 0.699078i | \(0.246406\pi\) | |||||||
\(278\) | −2.79426 | − | 4.83981i | −0.167589 | − | 0.290272i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.396459 | + | 0.332669i | 0.0236930 | + | 0.0198808i | ||||
\(281\) | −21.4008 | + | 17.9574i | −1.27666 | + | 1.07125i | −0.282970 | + | 0.959129i | \(0.591320\pi\) |
−0.993695 | + | 0.112120i | \(0.964236\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.27972 | + | 0.829748i | −0.135515 | + | 0.0493234i | −0.408887 | − | 0.912585i | \(-0.634083\pi\) |
0.273372 | + | 0.961908i | \(0.411861\pi\) | |||||||
\(284\) | −13.3327 | −0.791153 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.09833 | 0.124077 | ||||||||
\(287\) | −15.4731 | + | 5.63176i | −0.913350 | + | 0.332432i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.8550 | + | 10.7867i | −0.756179 | + | 0.634509i | ||||
\(290\) | 0.216881 | + | 0.181985i | 0.0127357 | + | 0.0106865i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.14156 | − | 1.97724i | −0.0668047 | − | 0.115709i | ||||
\(293\) | −7.05051 | + | 12.2118i | −0.411895 | + | 0.713423i | −0.995097 | − | 0.0989041i | \(-0.968466\pi\) |
0.583202 | + | 0.812327i | \(0.301800\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.70574 | + | 0.620838i | 0.0993119 | + | 0.0361466i | ||||
\(296\) | −4.25877 | + | 7.37641i | −0.247536 | + | 0.428745i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.92649 | + | 10.9257i | 0.111599 | + | 0.632907i | ||||
\(299\) | −3.46863 | − | 2.91052i | −0.200596 | − | 0.168320i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.95383 | + | 39.4371i | −0.400812 | + | 2.27312i | ||||
\(302\) | 11.8366 | − | 4.30818i | 0.681121 | − | 0.247908i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.40033 | − | 3.63846i | −0.137668 | − | 0.208680i | ||||
\(305\) | −0.207081 | −0.0118574 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.50892 | + | 19.9001i | −0.200265 | + | 1.13576i | 0.704454 | + | 0.709749i | \(0.251192\pi\) |
−0.904719 | + | 0.426009i | \(0.859919\pi\) | |||||||
\(308\) | 8.46064 | − | 7.09932i | 0.482090 | − | 0.404521i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.111997 | − | 0.635164i | −0.00636098 | − | 0.0360749i | ||||
\(311\) | 4.80928 | + | 8.32991i | 0.272709 | + | 0.472346i | 0.969555 | − | 0.244875i | \(-0.0787470\pi\) |
−0.696845 | + | 0.717221i | \(0.745414\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −23.3871 | − | 8.51222i | −1.32192 | − | 0.481139i | −0.417846 | − | 0.908518i | \(-0.637215\pi\) |
−0.904073 | + | 0.427379i | \(0.859437\pi\) | |||||||
\(314\) | −3.73783 | − | 1.36046i | −0.210938 | − | 0.0767751i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.42855 | − | 4.20637i | −0.136617 | − | 0.236627i | ||||
\(317\) | −2.99778 | − | 17.0012i | −0.168372 | − | 0.954885i | −0.945519 | − | 0.325566i | \(-0.894445\pi\) |
0.777147 | − | 0.629319i | \(-0.216666\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.62836 | − | 3.88365i | 0.259138 | − | 0.217443i | ||||
\(320\) | 0.0209445 | − | 0.118782i | 0.00117083 | − | 0.00664014i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −23.8331 | −1.32816 | ||||||||
\(323\) | −0.912818 | + | 1.82391i | −0.0507906 | + | 0.101485i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.81908 | − | 1.39003i | 0.211844 | − | 0.0771050i | ||||
\(326\) | −3.33409 | + | 18.9086i | −0.184658 | + | 1.04725i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.93969 | + | 2.46669i | 0.162317 | + | 0.136200i | ||||
\(329\) | −7.06031 | − | 40.0410i | −0.389247 | − | 2.20753i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.99525 | + | 8.65203i | −0.274564 | + | 0.475559i | −0.970025 | − | 0.243005i | \(-0.921867\pi\) |
0.695461 | + | 0.718564i | \(0.255200\pi\) | |||||||
\(332\) | 3.05303 | + | 1.11121i | 0.167557 | + | 0.0609858i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.68732 | − | 13.3148i | 0.420631 | − | 0.728555i | ||||
\(335\) | −0.690884 | − | 1.19665i | −0.0377470 | − | 0.0653798i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.18139 | + | 4.34770i | 0.282248 | + | 0.236834i | 0.772910 | − | 0.634516i | \(-0.218800\pi\) |
−0.490662 | + | 0.871350i | \(0.663245\pi\) | |||||||
\(338\) | 9.44949 | − | 7.92907i | 0.513985 | − | 0.431284i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0530334 | + | 0.0193026i | −0.00287614 | + | 0.00104683i | ||||
\(341\) | −13.7638 | −0.745353 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.9290 | −1.02207 | ||||||||
\(344\) | 8.76991 | − | 3.19199i | 0.472842 | − | 0.172100i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.05097 | + | 4.23827i | −0.271542 | + | 0.227851i | ||||
\(347\) | −18.8457 | − | 15.8134i | −1.01169 | − | 0.848909i | −0.0231297 | − | 0.999732i | \(-0.507363\pi\) |
−0.988561 | + | 0.150823i | \(0.951808\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.41740 | + | 5.91912i | 0.182929 | + | 0.316843i | 0.942877 | − | 0.333141i | \(-0.108109\pi\) |
−0.759947 | + | 0.649985i | \(0.774775\pi\) | |||||||
\(350\) | 10.6959 | − | 18.5259i | 0.571722 | − | 0.990251i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.41875 | − | 0.880352i | −0.128920 | − | 0.0469229i | ||||
\(353\) | −2.54189 | + | 4.40268i | −0.135291 | + | 0.234331i | −0.925709 | − | 0.378237i | \(-0.876530\pi\) |
0.790418 | + | 0.612568i | \(0.209864\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.279248 | − | 1.58370i | −0.0148210 | − | 0.0840538i | ||||
\(356\) | −2.62836 | − | 2.20545i | −0.139303 | − | 0.116889i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.215537 | − | 1.22237i | 0.0113915 | − | 0.0646044i | ||||
\(359\) | −2.69459 | + | 0.980752i | −0.142215 | + | 0.0517621i | −0.412147 | − | 0.911117i | \(-0.635221\pi\) |
0.269932 | + | 0.962879i | \(0.412999\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.05185 | − | 18.9709i | 0.0553606 | − | 0.998466i | ||||
\(362\) | −4.03003 | −0.211814 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.607411 | + | 3.44480i | −0.0318370 | + | 0.180557i | ||||
\(365\) | 0.210952 | − | 0.177009i | 0.0110417 | − | 0.00926510i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.84507 | + | 21.8065i | 0.200711 | + | 1.13829i | 0.904047 | + | 0.427433i | \(0.140582\pi\) |
−0.703336 | + | 0.710858i | \(0.748307\pi\) | |||||||
\(368\) | 2.77719 | + | 4.81023i | 0.144771 | + | 0.250751i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.965385 | − | 0.351371i | −0.0501880 | − | 0.0182669i | ||||
\(371\) | −51.4445 | − | 18.7243i | −2.67087 | − | 0.972115i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.83662 | − | 15.3055i | −0.457543 | − | 0.792487i | 0.541288 | − | 0.840837i | \(-0.317937\pi\) |
−0.998830 | + | 0.0483501i | \(0.984604\pi\) | |||||||
\(374\) | 0.209141 | + | 1.18610i | 0.0108144 | + | 0.0613315i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.25877 | + | 6.09083i | −0.374343 | + | 0.314111i | ||||
\(377\) | −0.332282 | + | 1.88446i | −0.0171134 | + | 0.0970548i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.75970 | −0.501322 | −0.250661 | − | 0.968075i | \(-0.580648\pi\) | ||||
−0.250661 | + | 0.968075i | \(0.580648\pi\) | |||||||
\(380\) | 0.381911 | − | 0.361323i | 0.0195916 | − | 0.0185355i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 22.6322 | − | 8.23746i | 1.15797 | − | 0.421465i | ||||
\(383\) | 3.87505 | − | 21.9765i | 0.198006 | − | 1.12295i | −0.710067 | − | 0.704134i | \(-0.751335\pi\) |
0.908073 | − | 0.418812i | \(-0.137553\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.02048 | + | 0.856282i | 0.0520084 | + | 0.0436402i | ||||
\(386\) | 1.71213 | + | 9.70999i | 0.0871453 | + | 0.494226i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.55051 | + | 2.68556i | −0.0787151 | + | 0.136339i | ||||
\(389\) | 6.59879 | + | 2.40176i | 0.334572 | + | 0.121774i | 0.503843 | − | 0.863795i | \(-0.331919\pi\) |
−0.169271 | + | 0.985570i | \(0.554141\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.29948 | − | 2.25076i | 0.0657174 | − | 0.113826i | ||||
\(392\) | 5.70574 | + | 9.88263i | 0.288183 | + | 0.499148i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.94562 | − | 4.14987i | −0.249157 | − | 0.209067i | ||||
\(395\) | 0.448778 | − | 0.376569i | 0.0225805 | − | 0.0189472i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 18.7738 | − | 6.83310i | 0.942229 | − | 0.342943i | 0.175184 | − | 0.984536i | \(-0.443948\pi\) |
0.767046 | + | 0.641592i | \(0.221726\pi\) | |||||||
\(398\) | −24.7716 | −1.24169 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.98545 | −0.249273 | ||||||||
\(401\) | −1.11809 | + | 0.406951i | −0.0558347 | + | 0.0203222i | −0.369787 | − | 0.929117i | \(-0.620569\pi\) |
0.313952 | + | 0.949439i | \(0.398347\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.33931 | − | 2.80201i | 0.166343 | − | 0.139578i | ||||
\(404\) | 12.8157 | + | 10.7536i | 0.637604 | + | 0.535013i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5.03596 | + | 8.72254i | 0.249930 | + | 0.432892i | ||||
\(407\) | −10.9620 | + | 18.9867i | −0.543365 | + | 0.941136i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.91622 | − | 3.24524i | −0.440879 | − | 0.160467i | 0.112037 | − | 0.993704i | \(-0.464263\pi\) |
−0.552916 | + | 0.833237i | \(0.686485\pi\) | |||||||
\(410\) | −0.231429 | + | 0.400847i | −0.0114295 | + | 0.0197964i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.80541 | − | 10.2390i | −0.0889460 | − | 0.504438i | ||||
\(413\) | 49.4680 | + | 41.5086i | 2.43416 | + | 2.04250i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.0680482 | + | 0.385920i | −0.00334035 | + | 0.0189441i | ||||
\(416\) | 0.766044 | − | 0.278817i | 0.0375584 | − | 0.0136701i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.17840 | − | 9.36532i | −0.302195 | − | 0.458073i | ||||
\(419\) | −4.72638 | −0.230899 | −0.115449 | − | 0.993313i | \(-0.536831\pi\) | ||||
−0.115449 | + | 0.993313i | \(0.536831\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.240819 | − | 1.36575i | 0.0117368 | − | 0.0665627i | −0.978377 | − | 0.206830i | \(-0.933685\pi\) |
0.990114 | + | 0.140268i | \(0.0447963\pi\) | |||||||
\(422\) | 1.06031 | − | 0.889704i | 0.0516150 | − | 0.0433101i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.21554 | + | 12.5649i | 0.107596 | + | 0.610207i | ||||
\(425\) | 1.16637 | + | 2.02022i | 0.0565775 | + | 0.0979950i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.92262 | − | 2.51963i | −0.335009 | − | 0.121933i | ||||
\(428\) | −8.56418 | − | 3.11711i | −0.413965 | − | 0.150671i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.562834 | + | 0.974856i | 0.0271422 | + | 0.0470117i | ||||
\(431\) | −0.470904 | − | 2.67063i | −0.0226827 | − | 0.128640i | 0.971364 | − | 0.237597i | \(-0.0763599\pi\) |
−0.994046 | + | 0.108958i | \(0.965249\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.5057 | + | 13.0108i | −0.745155 | + | 0.625260i | −0.934217 | − | 0.356706i | \(-0.883900\pi\) |
0.189061 | + | 0.981965i | \(0.439455\pi\) | |||||||
\(434\) | 3.98427 | − | 22.5959i | 0.191251 | − | 1.08464i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.82976 | 0.183412 | ||||||||
\(437\) | −2.77719 | + | 24.0512i | −0.132851 | + | 1.15052i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.1027 | − | 6.22486i | 0.816266 | − | 0.297096i | 0.100056 | − | 0.994982i | \(-0.468098\pi\) |
0.716209 | + | 0.697885i | \(0.245876\pi\) | |||||||
\(440\) | 0.0539108 | − | 0.305743i | 0.00257009 | − | 0.0145757i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.292204 | − | 0.245188i | −0.0138987 | − | 0.0116624i | ||||
\(443\) | 6.20661 | + | 35.1995i | 0.294885 | + | 1.67238i | 0.667669 | + | 0.744458i | \(0.267292\pi\) |
−0.372784 | + | 0.927918i | \(0.621597\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.206919 | − | 0.358394i | 0.00980891 | − | 0.0169895i | ||||
\(446\) | 20.9675 | + | 7.63155i | 0.992840 | + | 0.361364i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.14543 | − | 3.71599i | 0.101362 | − | 0.175564i | ||||
\(449\) | −9.49525 | − | 16.4463i | −0.448109 | − | 0.776147i | 0.550154 | − | 0.835063i | \(-0.314569\pi\) |
−0.998263 | + | 0.0589161i | \(0.981236\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.56670 | + | 6.34922i | 0.356302 | + | 0.298973i | ||||
\(452\) | −4.14543 | + | 3.47843i | −0.194985 | + | 0.163612i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 19.5141 | − | 7.10257i | 0.915844 | − | 0.333340i | ||||
\(455\) | −0.421903 | −0.0197791 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 25.9632 | 1.21451 | 0.607253 | − | 0.794509i | \(-0.292272\pi\) | ||||
0.607253 | + | 0.794509i | \(0.292272\pi\) | |||||||
\(458\) | 5.18479 | − | 1.88711i | 0.242269 | − | 0.0881789i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.513204 | + | 0.430629i | −0.0239282 | + | 0.0200782i | ||||
\(461\) | 22.3949 | + | 18.7915i | 1.04303 | + | 0.875209i | 0.992344 | − | 0.123506i | \(-0.0394138\pi\) |
0.0506891 | + | 0.998714i | \(0.483858\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.5954 | + | 18.3518i | 0.492410 | + | 0.852878i | 0.999962 | − | 0.00874269i | \(-0.00278292\pi\) |
−0.507552 | + | 0.861621i | \(0.669450\pi\) | |||||||
\(464\) | 1.17365 | − | 2.03282i | 0.0544852 | − | 0.0943712i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 14.1766 | + | 5.15988i | 0.656720 | + | 0.239027i | ||||
\(467\) | −1.07263 | + | 1.85786i | −0.0496356 | + | 0.0859713i | −0.889776 | − | 0.456398i | \(-0.849139\pi\) |
0.840140 | + | 0.542369i | \(0.182473\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.53590 | − | 48.4095i | −0.394151 | − | 2.23534i | ||||
\(470\) | −0.875515 | − | 0.734644i | −0.0403845 | − | 0.0338866i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.61334 | − | 14.8210i | 0.120289 | − | 0.682191i | ||||
\(473\) | 22.5736 | − | 8.21611i | 1.03793 | − | 0.377777i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −17.4491 | − | 12.9526i | −0.800619 | − | 0.594305i | ||||
\(476\) | −2.00774 | −0.0920246 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5.02734 | + | 28.5115i | −0.229945 | + | 1.30408i | ||||
\(479\) | 2.60220 | − | 2.18350i | 0.118897 | − | 0.0997668i | −0.581400 | − | 0.813618i | \(-0.697495\pi\) |
0.700298 | + | 0.713851i | \(0.253051\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.20574 | − | 6.83807i | −0.0549769 | − | 0.311789i | ||||
\(482\) | −9.68479 | − | 16.7746i | −0.441130 | − | 0.764060i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.11081 | + | 1.49621i | 0.186855 | + | 0.0680097i | ||||
\(485\) | −0.351471 | − | 0.127925i | −0.0159595 | − | 0.00580878i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.89306 | − | 17.1353i | −0.448297 | − | 0.776473i | 0.549978 | − | 0.835179i | \(-0.314636\pi\) |
−0.998275 | + | 0.0587056i | \(0.981303\pi\) | |||||||
\(488\) | 0.298133 | + | 1.69080i | 0.0134959 | + | 0.0765388i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.05438 | + | 0.884728i | −0.0476319 | + | 0.0399679i | ||||
\(491\) | −4.36618 | + | 24.7618i | −0.197043 | + | 1.11749i | 0.712436 | + | 0.701737i | \(0.247592\pi\) |
−0.909479 | + | 0.415750i | \(0.863519\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.09833 | −0.0494661 | ||||||||
\(494\) | 3.40554 | + | 1.01438i | 0.153223 | + | 0.0456392i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.02481 | + | 1.82888i | −0.225621 | + | 0.0821193i | ||||
\(497\) | 9.93423 | − | 56.3398i | 0.445611 | − | 2.52719i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 26.9329 | + | 22.5994i | 1.20568 | + | 1.01169i | 0.999449 | + | 0.0331839i | \(0.0105647\pi\) |
0.206232 | + | 0.978503i | \(0.433880\pi\) | |||||||
\(500\) | −0.209141 | − | 1.18610i | −0.00935305 | − | 0.0530438i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.17112 | − | 3.76049i | 0.0969019 | − | 0.167839i | ||||
\(503\) | 19.1186 | + | 6.95859i | 0.852454 | + | 0.310268i | 0.731041 | − | 0.682334i | \(-0.239035\pi\) |
0.121414 | + | 0.992602i | \(0.461257\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.00892 | + | 1.74751i | −0.0448965 | + | 0.0777630i | ||||
\(506\) | 7.14842 | + | 12.3814i | 0.317786 | + | 0.550422i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.24897 | + | 2.72621i | 0.144150 | + | 0.120956i | ||||
\(509\) | 10.0851 | − | 8.46242i | 0.447015 | − | 0.375090i | −0.391312 | − | 0.920258i | \(-0.627979\pi\) |
0.838327 | + | 0.545168i | \(0.183534\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.20574 | − | 3.35061i | 0.407238 | − | 0.148222i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.7665 | 0.783647 | ||||||||
\(515\) | 1.17840 | − | 0.428901i | 0.0519263 | − | 0.0188996i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −18.6839 | + | 15.6777i | −0.821718 | + | 0.689503i | ||||
\(518\) | −27.9971 | − | 23.4923i | −1.23012 | − | 1.03219i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0491630 | + | 0.0851529i | 0.00215594 | + | 0.00373420i | ||||
\(521\) | 10.2456 | − | 17.7458i | 0.448866 | − | 0.777459i | −0.549446 | − | 0.835529i | \(-0.685161\pi\) |
0.998313 | + | 0.0580697i | \(0.0184946\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 40.3312 | + | 14.6793i | 1.76356 | + | 0.641883i | 0.999993 | − | 0.00384740i | \(-0.00122467\pi\) |
0.763566 | + | 0.645730i | \(0.223447\pi\) | |||||||
\(524\) | 10.5214 | − | 18.2236i | 0.459630 | − | 0.796102i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.401674 | − | 2.27801i | −0.0175138 | − | 0.0993258i | ||||
\(527\) | 1.91669 | + | 1.60829i | 0.0834923 | + | 0.0700583i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.36333 | − | 7.73183i | 0.0592753 | − | 0.336167i | ||||
\(530\) | −1.44609 | + | 0.526333i | −0.0628141 | + | 0.0228625i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 17.1634 | − | 7.43199i | 0.744129 | − | 0.322217i | ||||
\(533\) | −3.12836 | −0.135504 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.190884 | − | 1.08256i | 0.00825265 | − | 0.0468031i | ||||
\(536\) | −8.77584 | + | 7.36381i | −0.379059 | + | 0.318068i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.489322 | − | 2.77509i | −0.0210962 | − | 0.119642i | ||||
\(539\) | 14.6864 | + | 25.4377i | 0.632590 | + | 1.09568i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.6976 | + | 4.98551i | 0.588905 | + | 0.214344i | 0.619248 | − | 0.785196i | \(-0.287438\pi\) |
−0.0303426 | + | 0.999540i | \(0.509660\pi\) | |||||||
\(542\) | −6.28611 | − | 2.28796i | −0.270012 | − | 0.0982762i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.233956 | + | 0.405223i | 0.0100308 | + | 0.0173738i | ||||
\(545\) | 0.0802124 | + | 0.454907i | 0.00343592 | + | 0.0194861i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.2246 | − | 11.9359i | 0.608201 | − | 0.510341i | −0.285869 | − | 0.958269i | \(-0.592282\pi\) |
0.894070 | + | 0.447928i | \(0.147838\pi\) | |||||||
\(548\) | 2.13950 | − | 12.1337i | 0.0913949 | − | 0.518326i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −12.8324 | −0.547177 | ||||||||
\(551\) | 9.38919 | − | 4.06564i | 0.399993 | − | 0.173202i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 19.5842 | − | 7.12808i | 0.832807 | − | 0.303117i | ||||
\(554\) | −1.43289 | + | 8.12630i | −0.0608775 | + | 0.345253i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.28106 | − | 3.59224i | −0.181557 | − | 0.152345i | ||||
\(557\) | −2.69816 | − | 15.3020i | −0.114325 | − | 0.648367i | −0.987082 | − | 0.160214i | \(-0.948782\pi\) |
0.872758 | − | 0.488154i | \(-0.162329\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.80406 | + | 6.58883i | −0.160895 | + | 0.278678i | ||||
\(560\) | 0.486329 | + | 0.177009i | 0.0205512 | + | 0.00748001i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −13.9684 | + | 24.1939i | −0.589220 | + | 1.02056i | ||||
\(563\) | −6.07785 | − | 10.5271i | −0.256151 | − | 0.443666i | 0.709057 | − | 0.705151i | \(-0.249121\pi\) |
−0.965207 | + | 0.261485i | \(0.915788\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.500000 | − | 0.419550i | −0.0210352 | − | 0.0176506i | ||||
\(566\) | −1.85844 | + | 1.55942i | −0.0781161 | + | 0.0655472i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −12.5287 | + | 4.56007i | −0.525692 | + | 0.191336i | ||||
\(569\) | −13.6709 | −0.573113 | −0.286556 | − | 0.958063i | \(-0.592511\pi\) | ||||
−0.286556 | + | 0.958063i | \(0.592511\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 28.2003 | 1.18014 | 0.590072 | − | 0.807350i | \(-0.299099\pi\) | ||||
0.590072 | + | 0.807350i | \(0.299099\pi\) | |||||||
\(572\) | 1.97178 | − | 0.717670i | 0.0824443 | − | 0.0300073i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −12.6138 | + | 10.5842i | −0.526490 | + | 0.441778i | ||||
\(575\) | 21.2126 | + | 17.7995i | 0.884627 | + | 0.742290i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.1095 | − | 17.5101i | −0.420863 | − | 0.728956i | 0.575161 | − | 0.818040i | \(-0.304939\pi\) |
−0.996024 | + | 0.0890843i | \(0.971606\pi\) | |||||||
\(578\) | −8.39053 | + | 14.5328i | −0.349000 | + | 0.604486i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.266044 | + | 0.0968323i | 0.0110469 | + | 0.00402074i | ||||
\(581\) | −6.97044 | + | 12.0732i | −0.289182 | + | 0.500879i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.70274 | + | 32.3419i | 0.236184 | + | 1.33946i | ||||
\(584\) | −1.74897 | − | 1.46756i | −0.0723729 | − | 0.0607281i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.44862 | + | 13.8868i | −0.101151 | + | 0.573658i | ||||
\(587\) | −4.89306 | + | 1.78093i | −0.201958 | + | 0.0735067i | −0.441019 | − | 0.897498i | \(-0.645383\pi\) |
0.239061 | + | 0.971005i | \(0.423161\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.3384 | − | 6.65376i | −0.920439 | − | 0.274163i | ||||
\(590\) | 1.81521 | 0.0747309 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.47906 | + | 8.38814i | −0.0607888 | + | 0.344750i | ||||
\(593\) | 33.3573 | − | 27.9901i | 1.36982 | − | 1.14942i | 0.397010 | − | 0.917814i | \(-0.370048\pi\) |
0.972811 | − | 0.231602i | \(-0.0743966\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.0420512 | − | 0.238484i | −0.00172393 | − | 0.00977690i | ||||
\(596\) | 5.54710 | + | 9.60787i | 0.227218 | + | 0.393553i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.25490 | − | 1.54866i | −0.173996 | − | 0.0633293i | ||||
\(599\) | −30.7511 | − | 11.1925i | −1.25646 | − | 0.457312i | −0.373877 | − | 0.927478i | \(-0.621972\pi\) |
−0.882578 | + | 0.470166i | \(0.844194\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.3867 | + | 17.9902i | 0.423681 | + | 0.733836i | 0.996296 | − | 0.0859876i | \(-0.0274045\pi\) |
−0.572616 | + | 0.819824i | \(0.694071\pi\) | |||||||
\(602\) | 6.95383 | + | 39.4371i | 0.283417 | + | 1.60734i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 9.64930 | − | 8.09672i | 0.392624 | − | 0.329451i | ||||
\(605\) | −0.0916247 | + | 0.519630i | −0.00372508 | + | 0.0211260i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −23.0419 | −0.935241 | −0.467621 | − | 0.883929i | \(-0.654889\pi\) | ||||
−0.467621 | + | 0.883929i | \(0.654889\pi\) | |||||||
\(608\) | −3.50000 | − | 2.59808i | −0.141944 | − | 0.105366i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.194593 | + | 0.0708260i | −0.00787883 | + | 0.00286766i | ||||
\(611\) | 1.34137 | − | 7.60727i | 0.0542659 | − | 0.307757i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.2404 | + | 13.6273i | 0.655942 | + | 0.550400i | 0.908867 | − | 0.417085i | \(-0.136948\pi\) |
−0.252926 | + | 0.967486i | \(0.581393\pi\) | |||||||
\(614\) | 3.50892 | + | 19.9001i | 0.141609 | + | 0.803102i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.52229 | − | 9.56488i | 0.222499 | − | 0.385380i | ||||
\(617\) | −19.2472 | − | 7.00541i | −0.774864 | − | 0.282027i | −0.0758345 | − | 0.997120i | \(-0.524162\pi\) |
−0.699029 | + | 0.715093i | \(0.746384\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.87258 | − | 13.6357i | 0.316426 | − | 0.548065i | −0.663314 | − | 0.748341i | \(-0.730851\pi\) |
0.979740 | + | 0.200276i | \(0.0641839\pi\) | |||||||
\(620\) | −0.322481 | − | 0.558554i | −0.0129512 | − | 0.0224321i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.36824 | + | 6.18269i | 0.295440 | + | 0.247903i | ||||
\(623\) | 11.2779 | − | 9.46329i | 0.451840 | − | 0.379139i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.2875 | + | 8.47594i | −0.931498 | + | 0.339038i | ||||
\(626\) | −24.8881 | −0.994727 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.97771 | −0.158728 | ||||||||
\(629\) | 3.74510 | − | 1.36310i | 0.149327 | − | 0.0543506i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.2041 | + | 13.5969i | −0.645077 | + | 0.541284i | −0.905573 | − | 0.424191i | \(-0.860558\pi\) |
0.260496 | + | 0.965475i | \(0.416114\pi\) | |||||||
\(632\) | −3.72075 | − | 3.12208i | −0.148004 | − | 0.124190i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.63176 | − | 14.9506i | −0.342811 | − | 0.593766i | ||||
\(635\) | −0.255777 | + | 0.443020i | −0.0101502 | + | 0.0175807i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.74170 | − | 3.18172i | −0.346359 | − | 0.126064i | ||||
\(638\) | 3.02094 | − | 5.23243i | 0.119600 | − | 0.207154i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.0209445 | − | 0.118782i | −0.000827905 | − | 0.00469528i | ||||
\(641\) | −6.30200 | − | 5.28801i | −0.248914 | − | 0.208864i | 0.509790 | − | 0.860299i | \(-0.329723\pi\) |
−0.758705 | + | 0.651435i | \(0.774167\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.742574 | + | 4.21134i | −0.0292842 | + | 0.166079i | −0.995943 | − | 0.0899901i | \(-0.971316\pi\) |
0.966658 | + | 0.256069i | \(0.0824276\pi\) | |||||||
\(644\) | −22.3957 | + | 8.15138i | −0.882516 | + | 0.321210i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.233956 | + | 2.02611i | −0.00920486 | + | 0.0797164i | ||||
\(647\) | −0.947682 | −0.0372572 | −0.0186286 | − | 0.999826i | \(-0.505930\pi\) | ||||
−0.0186286 | + | 0.999826i | \(0.505930\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.72668 | − | 38.1489i | 0.264045 | − | 1.49748i | ||||
\(650\) | 3.11334 | − | 2.61240i | 0.122115 | − | 0.102467i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.33409 | + | 18.9086i | 0.130573 | + | 0.740517i | ||||
\(653\) | −16.4217 | − | 28.4433i | −0.642632 | − | 1.11307i | −0.984843 | − | 0.173449i | \(-0.944509\pi\) |
0.342211 | − | 0.939623i | \(-0.388824\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.38501 | + | 0.868073i | 0.0931901 | + | 0.0339184i | ||||
\(656\) | 3.60607 | + | 1.31250i | 0.140793 | + | 0.0512446i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −20.3293 | − | 35.2115i | −0.792520 | − | 1.37269i | ||||
\(659\) | −0.823826 | − | 4.67215i | −0.0320917 | − | 0.182001i | 0.964548 | − | 0.263906i | \(-0.0850108\pi\) |
−0.996640 | + | 0.0819047i | \(0.973900\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.1864 | − | 25.3294i | 1.17412 | − | 0.985201i | 0.174117 | − | 0.984725i | \(-0.444293\pi\) |
1.00000 | 0.000475674i | \(-0.000151412\pi\) | ||||||||
\(662\) | −1.73483 | + | 9.83873i | −0.0674262 | + | 0.382393i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.24897 | 0.126085 | ||||||||
\(665\) | 1.24227 | + | 1.88305i | 0.0481731 | + | 0.0730217i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.2515 | + | 4.45918i | −0.474380 | + | 0.172660i | ||||
\(668\) | 2.66978 | − | 15.1411i | 0.103297 | − | 0.585825i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.05850 | − | 0.888184i | −0.0408933 | − | 0.0343135i | ||||
\(671\) | 0.767389 | + | 4.35208i | 0.0296247 | + | 0.168010i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.57145 | + | 14.8462i | −0.330405 | + | 0.572279i | −0.982591 | − | 0.185780i | \(-0.940519\pi\) |
0.652186 | + | 0.758059i | \(0.273852\pi\) | |||||||
\(674\) | 6.35591 | + | 2.31336i | 0.244821 | + | 0.0891074i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.16772 | − | 10.6828i | 0.237220 | − | 0.410877i | ||||
\(677\) | 3.56506 | + | 6.17486i | 0.137016 | + | 0.237319i | 0.926366 | − | 0.376625i | \(-0.122915\pi\) |
−0.789350 | + | 0.613944i | \(0.789582\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.1930 | − | 8.55294i | −0.391171 | − | 0.328232i | ||||
\(680\) | −0.0432332 | + | 0.0362770i | −0.00165792 | + | 0.00139116i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −12.9338 | + | 4.70750i | −0.495259 | + | 0.180260i | ||||
\(683\) | 26.0000 | 0.994862 | 0.497431 | − | 0.867503i | \(-0.334277\pi\) | ||||
0.497431 | + | 0.867503i | \(0.334277\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.48608 | 0.0567802 | ||||||||
\(686\) | −17.7875 | + | 6.47410i | −0.679128 | + | 0.247182i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.14930 | − | 5.99898i | 0.272565 | − | 0.228709i | ||||
\(689\) | −7.96766 | − | 6.68566i | −0.303544 | − | 0.254703i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.6857 | − | 34.0967i | −0.748880 | − | 1.29710i | −0.948360 | − | 0.317197i | \(-0.897258\pi\) |
0.199479 | − | 0.979902i | \(-0.436075\pi\) | |||||||
\(692\) | −3.29679 | + | 5.71021i | −0.125325 | + | 0.217069i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −23.1177 | − | 8.41415i | −0.877535 | − | 0.319397i | ||||
\(695\) | 0.337029 | − | 0.583752i | 0.0127843 | − | 0.0221430i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.311804 | − | 1.76833i | −0.0118104 | − | 0.0669802i | ||||
\(698\) | 5.23577 | + | 4.39333i | 0.198177 | + | 0.166290i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.71466 | − | 21.0669i | 0.140401 | − | 0.796253i | ||||
\(701\) | 5.29426 | − | 1.92695i | 0.199962 | − | 0.0727801i | −0.240098 | − | 0.970749i | \(-0.577180\pi\) |
0.440060 | + | 0.897969i | \(0.354957\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −26.9697 | + | 25.5158i | −1.01718 | + | 0.962346i | ||||
\(704\) | −2.57398 | −0.0970104 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.882789 | + | 5.00654i | −0.0332242 | + | 0.188424i | ||||
\(707\) | −54.9903 | + | 46.1423i | −2.06812 | + | 1.73536i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.32517 | + | 30.2005i | 0.199991 | + | 1.13421i | 0.905130 | + | 0.425136i | \(0.139774\pi\) |
−0.705139 | + | 0.709069i | \(0.749115\pi\) | |||||||
\(710\) | −0.804063 | − | 1.39268i | −0.0301760 | − | 0.0522663i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.22416 | − | 1.17350i | −0.120830 | − | 0.0439786i | ||||
\(713\) | 27.9097 | + | 10.1583i | 1.04523 | + | 0.380432i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.126545 | + | 0.219182i | 0.00473250 | + | 0.00819693i | ||||
\(716\) | −0.215537 | − | 1.22237i | −0.00805500 | − | 0.0456822i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.19665 | + | 1.84321i | −0.0819783 | + | 0.0687880i | ||||
\(719\) | −1.10085 | + | 6.24324i | −0.0410549 | + | 0.232834i | −0.998430 | − | 0.0560138i | \(-0.982161\pi\) |
0.957375 | + | 0.288847i | \(0.0932720\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 44.6117 | 1.66143 | ||||||||
\(722\) | −5.50000 | − | 18.1865i | −0.204689 | − | 0.676833i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.78699 | + | 1.37835i | −0.140742 | + | 0.0512260i | ||||
\(725\) | 2.03209 | − | 11.5245i | 0.0754699 | − | 0.428011i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.8806 | − | 15.0036i | −0.663154 | − | 0.556452i | 0.247877 | − | 0.968792i | \(-0.420267\pi\) |
−0.911030 | + | 0.412340i | \(0.864712\pi\) | |||||||
\(728\) | 0.607411 | + | 3.44480i | 0.0225121 | + | 0.127673i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.137689 | − | 0.238484i | 0.00509609 | − | 0.00882670i | ||||
\(731\) | −4.10354 | − | 1.49357i | −0.151775 | − | 0.0552416i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.794730 | + | 1.37651i | −0.0293540 | + | 0.0508426i | −0.880329 | − | 0.474363i | \(-0.842678\pi\) |
0.850975 | + | 0.525206i | \(0.176012\pi\) | |||||||
\(734\) | 11.0715 | + | 19.1763i | 0.408655 | + | 0.707811i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.25490 | + | 3.57029i | 0.156838 | + | 0.131602i | ||||
\(737\) | −22.5888 | + | 18.9543i | −0.832070 | + | 0.698190i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.43882 | + | 1.25163i | −0.126499 | + | 0.0460418i | −0.404494 | − | 0.914541i | \(-0.632552\pi\) |
0.277995 | + | 0.960582i | \(0.410330\pi\) | |||||||
\(740\) | −1.02734 | −0.0377658 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −54.7461 | −2.00979 | ||||||||
\(743\) | −17.2716 | + | 6.28634i | −0.633632 | + | 0.230623i | −0.638811 | − | 0.769363i | \(-0.720574\pi\) |
0.00517924 | + | 0.999987i | \(0.498351\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.02506 | + | 0.860130i | −0.0375554 | + | 0.0315127i | ||||
\(746\) | −13.5385 | − | 11.3601i | −0.495679 | − | 0.415924i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.602196 | + | 1.04303i | 0.0220185 | + | 0.0381371i | ||||
\(749\) | 19.5530 | − | 33.8668i | 0.714452 | − | 1.23747i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −28.8161 | − | 10.4882i | −1.05152 | − | 0.382720i | −0.242281 | − | 0.970206i | \(-0.577896\pi\) |
−0.809235 | + | 0.587486i | \(0.800118\pi\) | |||||||
\(752\) | −4.73783 | + | 8.20616i | −0.172771 | + | 0.299248i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.332282 | + | 1.88446i | 0.0121010 | + | 0.0686281i | ||||
\(755\) | 1.16385 | + | 0.976584i | 0.0423568 | + | 0.0355415i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.35235 | + | 7.66955i | −0.0491520 | + | 0.278755i | −0.999471 | − | 0.0325230i | \(-0.989646\pi\) |
0.950319 | + | 0.311278i | \(0.100757\pi\) | |||||||
\(758\) | −9.17112 | + | 3.33802i | −0.333110 | + | 0.121242i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.235300 | − | 0.470154i | 0.00853522 | − | 0.0170543i | ||||
\(761\) | −28.3969 | −1.02939 | −0.514694 | − | 0.857374i | \(-0.672094\pi\) | ||||
−0.514694 | + | 0.857374i | \(0.672094\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.85355 | + | 16.1833i | −0.103305 | + | 0.585874i | ||||
\(764\) | 18.4500 | − | 15.4814i | 0.667496 | − | 0.560096i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.87505 | − | 21.9765i | −0.140011 | − | 0.794043i | ||||
\(767\) | 6.13429 | + | 10.6249i | 0.221496 | + | 0.383643i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −33.1095 | − | 12.0509i | −1.19396 | − | 0.434566i | −0.332848 | − | 0.942981i | \(-0.608010\pi\) |
−0.861112 | + | 0.508415i | \(0.830232\pi\) | |||||||
\(770\) | 1.25180 | + | 0.455618i | 0.0451118 | + | 0.0164193i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.92989 | + | 8.53882i | 0.177431 | + | 0.307319i | ||||
\(773\) | 3.49092 | + | 19.7980i | 0.125559 | + | 0.712083i | 0.980974 | + | 0.194139i | \(0.0621913\pi\) |
−0.855415 | + | 0.517944i | \(0.826698\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −20.4217 | + | 17.1359i | −0.733571 | + | 0.615539i | ||||
\(776\) | −0.538485 | + | 3.05390i | −0.0193305 | + | 0.109629i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.02229 | 0.251761 | ||||||||
\(779\) | 9.21126 | + | 13.9626i | 0.330028 | + | 0.500262i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −32.2486 | + | 11.7375i | −1.15394 | + | 0.420001i | ||||
\(782\) | 0.451304 | − | 2.55947i | 0.0161386 | − | 0.0915265i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 8.74170 | + | 7.33515i | 0.312203 | + | 0.261970i | ||||
\(785\) | −0.0833113 | − | 0.472482i | −0.00297351 | − | 0.0168636i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.9265 | − | 20.6573i | 0.425133 | − | 0.736353i | −0.571299 | − | 0.820742i | \(-0.693561\pi\) |
0.996433 | + | 0.0843890i | \(0.0268938\pi\) | |||||||
\(788\) | −6.06670 | − | 2.20810i | −0.216117 | − | 0.0786603i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.292919 | − | 0.507350i | 0.0104216 | − | 0.0180507i | ||||
\(791\) | −11.6099 | − | 20.1090i | −0.412802 | − | 0.714994i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.07217 | − | 0.899655i | −0.0380738 | − | 0.0319477i | ||||
\(794\) | 15.3045 | − | 12.8420i | 0.543137 | − | 0.455746i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −23.2777 | + | 8.47237i | −0.825055 | + | 0.300295i | ||||
\(797\) | 28.5262 | 1.01045 | 0.505225 | − | 0.862988i | \(-0.331409\pi\) | ||||
0.505225 | + | 0.862988i | \(0.331409\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.43376 | 0.156855 | ||||||||
\(800\) | −4.68479 | + | 1.70513i | −0.165632 | + | 0.0602853i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.911474 | + | 0.764818i | −0.0321853 | + | 0.0270066i | ||||
\(803\) | −4.50181 | − | 3.77747i | −0.158865 | − | 0.133304i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.43731 | − | 2.48949i | −0.0506585 | − | 0.0877431i | ||||
\(806\) | 2.17958 | − | 3.77514i | 0.0767724 | − | 0.132974i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 15.7208 | + | 5.72189i | 0.553054 | + | 0.201295i | ||||
\(809\) | 12.4645 | − | 21.5892i | 0.438229 | − | 0.759034i | −0.559324 | − | 0.828949i | \(-0.688939\pi\) |
0.997553 | + | 0.0699145i | \(0.0222727\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.21672 | + | 18.2429i | 0.112954 | + | 0.640596i | 0.987743 | + | 0.156091i | \(0.0498892\pi\) |
−0.874788 | + | 0.484505i | \(0.839000\pi\) | |||||||
\(812\) | 7.71554 | + | 6.47410i | 0.270762 | + | 0.227197i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.80706 | + | 21.5909i | −0.133437 | + | 0.756760i | ||||
\(815\) | −2.17617 | + | 0.792063i | −0.0762281 | + | 0.0277447i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 40.6083 | − | 2.42199i | 1.42071 | − | 0.0847346i | ||||
\(818\) | −9.48845 | −0.331756 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0803746 | + | 0.455827i | −0.00280680 | + | 0.0159182i | ||||
\(821\) | −27.2415 | + | 22.8584i | −0.950736 | + | 0.797762i | −0.979421 | − | 0.201826i | \(-0.935312\pi\) |
0.0286853 | + | 0.999588i | \(0.490868\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.21167 | − | 18.2143i | −0.111952 | − | 0.634909i | −0.988214 | − | 0.153076i | \(-0.951082\pi\) |
0.876263 | − | 0.481834i | \(-0.160029\pi\) | |||||||
\(824\) | −5.19846 | − | 9.00400i | −0.181097 | − | 0.313669i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 60.6814 | + | 22.0862i | 2.11138 | + | 0.768479i | ||||
\(827\) | 29.6891 | + | 10.8060i | 1.03239 | + | 0.375760i | 0.801991 | − | 0.597336i | \(-0.203774\pi\) |
0.230401 | + | 0.973096i | \(0.425996\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.5719 | + | 35.6316i | 0.714492 | + | 1.23754i | 0.963155 | + | 0.268947i | \(0.0866756\pi\) |
−0.248663 | + | 0.968590i | \(0.579991\pi\) | |||||||
\(830\) | 0.0680482 | + | 0.385920i | 0.00236199 | + | 0.0133955i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.624485 | − | 0.524005i | 0.0216501 | − | 0.0181666i | ||||
\(833\) | 0.927204 | − | 5.25844i | 0.0321257 | − | 0.182194i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.85441 | 0.0641744 | ||||||||
\(836\) | −9.00892 | − | 6.68739i | −0.311580 | − | 0.231288i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.44134 | + | 1.61652i | −0.153424 | + | 0.0558416i | ||||
\(839\) | −3.46956 | + | 19.6769i | −0.119783 | + | 0.679320i | 0.864488 | + | 0.502653i | \(0.167643\pi\) |
−0.984271 | + | 0.176667i | \(0.943468\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.9945 | − | 15.0992i | −0.620501 | − | 0.520662i | ||||
\(842\) | −0.240819 | − | 1.36575i | −0.00829917 | − | 0.0470669i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.692066 | − | 1.19869i | 0.0238219 | − | 0.0412608i | ||||
\(845\) | 1.39811 | + | 0.508870i | 0.0480964 | + | 0.0175057i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9.38548 | + | 16.2561i | −0.322489 | + | 0.558567i | ||||
\(848\) | 6.37939 | + | 11.0494i | 0.219069 | + | 0.379439i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.78699 | + | 1.49946i | 0.0612932 | + | 0.0514311i | ||||
\(851\) | 36.2413 | − | 30.4100i | 1.24234 | − | 1.04244i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.7939 | − | 6.47643i | 0.609250 | − | 0.221749i | −0.0189251 | − | 0.999821i | \(-0.506024\pi\) |
0.628175 | + | 0.778072i | \(0.283802\pi\) | |||||||
\(854\) | −7.36690 | −0.252090 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.11381 | −0.311504 | ||||||||
\(857\) | −20.0532 | + | 7.29877i | −0.685004 | + | 0.249321i | −0.660995 | − | 0.750391i | \(-0.729865\pi\) |
−0.0240095 | + | 0.999712i | \(0.507643\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 35.1129 | − | 29.4632i | 1.19804 | − | 1.00527i | 0.198354 | − | 0.980130i | \(-0.436440\pi\) |
0.999684 | − | 0.0251425i | \(-0.00800396\pi\) | |||||||
\(860\) | 0.862311 | + | 0.723565i | 0.0294046 | + | 0.0246734i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.35591 | − | 2.34851i | −0.0461826 | − | 0.0799907i | ||||
\(863\) | 7.62970 | − | 13.2150i | 0.259718 | − | 0.449845i | −0.706448 | − | 0.707765i | \(-0.749704\pi\) |
0.966166 | + | 0.257920i | \(0.0830371\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.747321 | − | 0.272003i | −0.0254097 | − | 0.00924837i | ||||
\(866\) | −10.1206 | + | 17.5294i | −0.343912 | + | 0.595674i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.98427 | − | 22.5959i | −0.135235 | − | 0.766955i | ||||
\(869\) | −9.57713 | − | 8.03617i | −0.324882 | − | 0.272608i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.62171 | − | 9.19718i | 0.0549496 | − | 0.311634i | ||||
\(872\) | 3.59879 | − | 1.30985i | 0.121871 | − | 0.0443572i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.61628 | + | 23.5506i | 0.189973 | + | 0.796609i | ||||
\(875\) | 5.16788 | 0.174706 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.88635 | − | 22.0406i | 0.131233 | − | 0.744259i | −0.846176 | − | 0.532903i | \(-0.821101\pi\) |
0.977409 | − | 0.211356i | \(-0.0677878\pi\) | |||||||
\(878\) | 13.9422 | − | 11.6989i | 0.470527 | − | 0.394819i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.0539108 | − | 0.305743i | −0.00181733 | − | 0.0103066i | ||||
\(881\) | −13.5052 | − | 23.3917i | −0.455002 | − | 0.788087i | 0.543686 | − | 0.839289i | \(-0.317028\pi\) |
−0.998688 | + | 0.0512016i | \(0.983695\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −16.3640 | − | 5.95599i | −0.550691 | − | 0.200435i | 0.0516624 | − | 0.998665i | \(-0.483548\pi\) |
−0.602354 | + | 0.798229i | \(0.705770\pi\) | |||||||
\(884\) | −0.358441 | − | 0.130462i | −0.0120557 | − | 0.00438790i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 17.8712 | + | 30.9539i | 0.600396 | + | 1.03992i | ||||
\(887\) | −10.1718 | − | 57.6869i | −0.341534 | − | 1.93694i | −0.349419 | − | 0.936966i | \(-0.613621\pi\) |
0.00788527 | − | 0.999969i | \(-0.497490\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13.9409 | + | 11.6978i | −0.467562 | + | 0.392331i | ||||
\(890\) | 0.0718623 | − | 0.407551i | 0.00240883 | − | 0.0136611i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 22.3131 | 0.747099 | ||||||||
\(893\) | −37.9026 | + | 16.4123i | −1.26836 | + | 0.549217i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.140682 | − | 0.0512040i | 0.00470248 | − | 0.00171156i | ||||
\(896\) | 0.745100 | − | 4.22567i | 0.0248920 | − | 0.141170i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −14.5476 | − | 12.2069i | −0.485459 | − | 0.407348i | ||||
\(899\) | −2.17958 | − | 12.3610i | −0.0726930 | − | 0.412262i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.98499 | − | 5.17015i | 0.0994443 | − | 0.172243i | ||||
\(902\) | 9.28194 | + | 3.37835i | 0.309055 | + | 0.112487i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.70574 | + | 4.68647i | −0.0899915 | + | 0.155870i | ||||
\(905\) | −0.243041 | − | 0.420959i | −0.00807894 | − | 0.0139931i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.55896 | − | 6.34272i | −0.250991 | − | 0.210607i | 0.508608 | − | 0.860998i | \(-0.330160\pi\) |
−0.759599 | + | 0.650392i | \(0.774605\pi\) | |||||||
\(908\) | 15.9081 | − | 13.3485i | 0.527928 | − | 0.442984i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.396459 | + | 0.144299i | −0.0131425 | + | 0.00478348i | ||||
\(911\) | 13.9813 | 0.463222 | 0.231611 | − | 0.972808i | \(-0.425600\pi\) | ||||
0.231611 | + | 0.972808i | \(0.425600\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.36278 | 0.276768 | ||||||||
\(914\) | 24.3974 | − | 8.87992i | 0.806994 | − | 0.293722i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.22668 | − | 3.54661i | 0.139653 | − | 0.117183i | ||||
\(917\) | 69.1675 | + | 58.0384i | 2.28411 | + | 1.91660i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.36231 | + | 11.0198i | 0.209873 | + | 0.363511i | 0.951674 | − | 0.307109i | \(-0.0993615\pi\) |
−0.741801 | + | 0.670620i | \(0.766028\pi\) | |||||||
\(920\) | −0.334970 | + | 0.580185i | −0.0110436 | + | 0.0191281i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 27.4714 | + | 9.99876i | 0.904721 | + | 0.329292i | ||||
\(923\) | 5.43448 | − | 9.41279i | 0.178878 | − | 0.309826i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.37376 | + | 41.8187i | 0.242448 | + | 1.37499i | ||||
\(926\) | 16.2331 | + | 13.6212i | 0.533452 | + | 0.447619i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.407604 | − | 2.31164i | 0.0133802 | − | 0.0758832i | ||||
\(929\) | 19.6830 | − | 7.16404i | 0.645780 | − | 0.235045i | 0.00169466 | − | 0.999999i | \(-0.499461\pi\) |
0.644085 | + | 0.764954i | \(0.277238\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.5386 | + | 48.3846i | 0.378164 | + | 1.58574i | ||||
\(932\) | 15.0865 | 0.494174 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.372522 | + | 2.11268i | −0.0121893 | + | 0.0691289i | ||||
\(935\) | −0.111281 | + | 0.0933762i | −0.00363929 | + | 0.00305373i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.68866 | − | 9.57688i | −0.0551662 | − | 0.312863i | 0.944721 | − | 0.327875i | \(-0.106332\pi\) |
−0.999887 | + | 0.0150119i | \(0.995221\pi\) | |||||||
\(938\) | −24.5782 | − | 42.5706i | −0.802505 | − | 1.38998i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.07398 | − | 0.390896i | −0.0350293 | − | 0.0127496i | ||||
\(941\) | −21.7875 | − | 7.92999i | −0.710251 | − | 0.258510i | −0.0384696 | − | 0.999260i | \(-0.512248\pi\) |
−0.671781 | + | 0.740750i | \(0.734470\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −10.6575 | − | 18.4592i | −0.347054 | − | 0.601116i | ||||
\(944\) | −2.61334 | − | 14.8210i | −0.0850570 | − | 0.482382i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 18.4021 | − | 15.4412i | 0.598305 | − | 0.502038i | ||||
\(947\) | −4.77900 | + | 27.1031i | −0.155297 | + | 0.880731i | 0.803217 | + | 0.595686i | \(0.203120\pi\) |
−0.958514 | + | 0.285045i | \(0.907991\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.86122 | 0.0604176 | ||||||||
\(950\) | −20.8268 | − | 6.20351i | −0.675711 | − | 0.201268i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.88666 | + | 0.686688i | −0.0611470 | + | 0.0222557i | ||||
\(953\) | −8.75608 | + | 49.6582i | −0.283637 | + | 1.60859i | 0.426475 | + | 0.904499i | \(0.359755\pi\) |
−0.710113 | + | 0.704088i | \(0.751356\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.22534 | + | 1.86728i | 0.0720102 | + | 0.0604238i | ||||
\(956\) | 5.02734 | + | 28.5115i | 0.162596 | + | 0.922127i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.69846 | − | 2.94182i | 0.0548749 | − | 0.0950460i | ||||
\(959\) | 49.6789 | + | 18.0816i | 1.60422 | + | 0.583887i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.20321 | − | 2.08402i | 0.0388133 | − | 0.0672265i | ||||
\(962\) | −3.47178 | − | 6.01330i | −0.111935 | − | 0.193877i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.8380 | − | 12.4505i | −0.477899 | − | 0.401005i | ||||
\(965\) | −0.911007 | + | 0.764426i | −0.0293264 | + | 0.0246077i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −29.9424 | + | 10.8981i | −0.962882 | + | 0.350460i | −0.775162 | − | 0.631762i | \(-0.782332\pi\) |
−0.187720 | + | 0.982223i | \(0.560110\pi\) | |||||||
\(968\) | 4.37464 | 0.140606 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.374028 | −0.0120093 | ||||||||
\(971\) | −2.10607 | + | 0.766546i | −0.0675869 | + | 0.0245996i | −0.375592 | − | 0.926785i | \(-0.622561\pi\) |
0.308005 | + | 0.951385i | \(0.400338\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 18.3694 | − | 15.4138i | 0.588897 | − | 0.494143i | ||||
\(974\) | −15.1570 | − | 12.7183i | −0.485663 | − | 0.407520i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.858441 | + | 1.48686i | 0.0274780 | + | 0.0475933i | ||||
\(977\) | −0.733956 | + | 1.27125i | −0.0234813 | + | 0.0406708i | −0.877527 | − | 0.479527i | \(-0.840808\pi\) |
0.854046 | + | 0.520198i | \(0.174142\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.29890 | − | 3.02055i | −0.265234 | − | 0.0965373i | ||||
\(980\) | −0.688196 | + | 1.19199i | −0.0219836 | + | 0.0380767i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 4.36618 | + | 24.7618i | 0.139330 | + | 0.790182i | ||||
\(983\) | −22.9957 | − | 19.2957i | −0.733450 | − | 0.615437i | 0.197620 | − | 0.980279i | \(-0.436679\pi\) |
−0.931070 | + | 0.364841i | \(0.881123\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.135219 | − | 0.766865i | 0.00430844 | − | 0.0244343i | ||||
\(986\) | −1.03209 | + | 0.375650i | −0.0328684 | + | 0.0119631i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.54710 | − | 0.211558i | 0.112848 | − | 0.00673057i | ||||
\(989\) | −51.8376 | −1.64834 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.50464 | − | 53.9035i | 0.301925 | − | 1.71230i | −0.335712 | − | 0.941965i | \(-0.608977\pi\) |
0.637637 | − | 0.770337i | \(-0.279912\pi\) | |||||||
\(992\) | −4.09627 | + | 3.43718i | −0.130057 | + | 0.109130i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −9.93423 | − | 56.3398i | −0.315095 | − | 1.78699i | ||||
\(995\) | −1.49391 | − | 2.58752i | −0.0473601 | − | 0.0820300i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 45.6896 | + | 16.6297i | 1.44700 | + | 0.526666i | 0.941753 | − | 0.336306i | \(-0.109178\pi\) |
0.505251 | + | 0.862972i | \(0.331400\pi\) | |||||||
\(998\) | 33.0381 | + | 12.0249i | 1.04580 | + | 0.380641i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 342.2.u.b.271.1 | 6 | ||
3.2 | odd | 2 | 114.2.i.c.43.1 | ✓ | 6 | ||
12.11 | even | 2 | 912.2.bo.d.385.1 | 6 | |||
19.2 | odd | 18 | 6498.2.a.bu.1.1 | 3 | |||
19.4 | even | 9 | inner | 342.2.u.b.289.1 | 6 | ||
19.17 | even | 9 | 6498.2.a.bp.1.1 | 3 | |||
57.2 | even | 18 | 2166.2.a.p.1.3 | 3 | |||
57.17 | odd | 18 | 2166.2.a.r.1.3 | 3 | |||
57.23 | odd | 18 | 114.2.i.c.61.1 | yes | 6 | ||
228.23 | even | 18 | 912.2.bo.d.289.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.c.43.1 | ✓ | 6 | 3.2 | odd | 2 | ||
114.2.i.c.61.1 | yes | 6 | 57.23 | odd | 18 | ||
342.2.u.b.271.1 | 6 | 1.1 | even | 1 | trivial | ||
342.2.u.b.289.1 | 6 | 19.4 | even | 9 | inner | ||
912.2.bo.d.289.1 | 6 | 228.23 | even | 18 | |||
912.2.bo.d.385.1 | 6 | 12.11 | even | 2 | |||
2166.2.a.p.1.3 | 3 | 57.2 | even | 18 | |||
2166.2.a.r.1.3 | 3 | 57.17 | odd | 18 | |||
6498.2.a.bp.1.1 | 3 | 19.17 | even | 9 | |||
6498.2.a.bu.1.1 | 3 | 19.2 | odd | 18 |