Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [945,2,Mod(82,945)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(945, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("945.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 945 = 3^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 945.cc (of order \(12\), degree \(4\), 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: | \(7.54586299101\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 82.16 | ||
Character | \(\chi\) | \(=\) | 945.82 |
Dual form | 945.2.cc.a.703.16 |
$q$-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 \(\left(\mathbb{Z}/945\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(596\) | \(757\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.121772 | + | 0.0326286i | −0.0861055 | + | 0.0230719i | −0.301615 | − | 0.953430i | \(-0.597526\pi\) |
0.215509 | + | 0.976502i | \(0.430859\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.71829 | + | 0.992054i | −0.859144 | + | 0.496027i | ||||
\(5\) | −0.668137 | − | 2.13391i | −0.298800 | − | 0.954316i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.10538 | − | 2.40378i | 0.417794 | − | 0.908542i | ||||
\(8\) | 0.355155 | − | 0.355155i | 0.125566 | − | 0.125566i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.150987 | + | 0.238050i | 0.0477462 | + | 0.0752779i | ||||
\(11\) | 1.85074 | + | 3.20557i | 0.558018 | + | 0.966516i | 0.997662 | + | 0.0683435i | \(0.0217714\pi\) |
−0.439644 | + | 0.898172i | \(0.644895\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.74441 | + | 2.74441i | 0.761163 | + | 0.761163i | 0.976533 | − | 0.215369i | \(-0.0690956\pi\) |
−0.215369 | + | 0.976533i | \(0.569096\pi\) | |||||||
\(14\) | −0.0561718 | + | 0.328778i | −0.0150125 | + | 0.0878697i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.95245 | − | 3.38174i | 0.488112 | − | 0.845435i | ||||
\(17\) | −7.27655 | − | 1.94975i | −1.76482 | − | 0.472883i | −0.777137 | − | 0.629332i | \(-0.783329\pi\) |
−0.987686 | + | 0.156449i | \(0.949995\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.435731 | − | 0.754709i | 0.0999636 | − | 0.173142i | −0.811706 | − | 0.584067i | \(-0.801461\pi\) |
0.911669 | + | 0.410925i | \(0.134794\pi\) | |||||||
\(20\) | 3.26501 | + | 3.00385i | 0.730078 | + | 0.671681i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.329960 | − | 0.329960i | −0.0703478 | − | 0.0703478i | ||||
\(23\) | −1.21737 | − | 4.54328i | −0.253839 | − | 0.947339i | −0.968733 | − | 0.248106i | \(-0.920192\pi\) |
0.714894 | − | 0.699233i | \(-0.246475\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.10719 | + | 2.85150i | −0.821437 | + | 0.570299i | ||||
\(26\) | −0.423738 | − | 0.244645i | −0.0831018 | − | 0.0479789i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.485317 | + | 5.22697i | 0.0917163 | + | 0.987805i | ||||
\(29\) | − | 8.58490i | − | 1.59418i | −0.603864 | − | 0.797088i | \(-0.706373\pi\) | ||
0.603864 | − | 0.797088i | \(-0.293627\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.28003 | − | 1.89373i | 0.589112 | − | 0.340124i | −0.175635 | − | 0.984455i | \(-0.556198\pi\) |
0.764746 | + | 0.644332i | \(0.222864\pi\) | |||||||
\(32\) | −0.387403 | + | 1.44581i | −0.0684838 | + | 0.255585i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.949694 | 0.162871 | ||||||||
\(35\) | −5.86800 | − | 0.752731i | −0.991873 | − | 0.127235i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −11.1910 | + | 2.99861i | −1.83978 | + | 0.492969i | −0.998840 | − | 0.0481520i | \(-0.984667\pi\) |
−0.840945 | + | 0.541121i | \(0.818000\pi\) | |||||||
\(38\) | −0.0284346 | + | 0.106119i | −0.00461270 | + | 0.0172148i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.995163 | − | 0.520578i | −0.157349 | − | 0.0823107i | ||||
\(41\) | − | 7.21562i | − | 1.12689i | −0.826153 | − | 0.563445i | \(-0.809476\pi\) | ||
0.826153 | − | 0.563445i | \(-0.190524\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.545286 | + | 0.545286i | −0.0831554 | + | 0.0831554i | −0.747461 | − | 0.664306i | \(-0.768727\pi\) |
0.664306 | + | 0.747461i | \(0.268727\pi\) | |||||||
\(44\) | −6.36019 | − | 3.67206i | −0.958835 | − | 0.553584i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.296481 | + | 0.513521i | 0.0437138 | + | 0.0757145i | ||||
\(47\) | −1.86365 | − | 6.95523i | −0.271841 | − | 1.01452i | −0.957929 | − | 0.287006i | \(-0.907340\pi\) |
0.686088 | − | 0.727519i | \(-0.259327\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.55628 | − | 5.31416i | −0.650897 | − | 0.759166i | ||||
\(50\) | 0.407098 | − | 0.481243i | 0.0575724 | − | 0.0680580i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.43829 | − | 1.99308i | −1.03151 | − | 0.276391i | ||||
\(53\) | −0.701093 | − | 0.187857i | −0.0963026 | − | 0.0258042i | 0.210346 | − | 0.977627i | \(-0.432541\pi\) |
−0.306649 | + | 0.951823i | \(0.599208\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.60387 | − | 6.09108i | 0.755625 | − | 0.821320i | ||||
\(56\) | −0.461133 | − | 1.24629i | −0.0616214 | − | 0.166543i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.280113 | + | 1.04540i | 0.0367807 | + | 0.137267i | ||||
\(59\) | 0.887254 | + | 1.53677i | 0.115511 | + | 0.200070i | 0.917984 | − | 0.396618i | \(-0.129816\pi\) |
−0.802473 | + | 0.596688i | \(0.796483\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.95514 | + | 2.28350i | 0.506404 | + | 0.292372i | 0.731354 | − | 0.681998i | \(-0.238889\pi\) |
−0.224950 | + | 0.974370i | \(0.572222\pi\) | |||||||
\(62\) | −0.337625 | + | 0.337625i | −0.0428784 | + | 0.0428784i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.62109i | 0.952636i | ||||||||
\(65\) | 4.02270 | − | 7.68999i | 0.498954 | − | 0.953826i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.01631 | − | 7.52498i | 0.246332 | − | 0.919322i | −0.726378 | − | 0.687296i | \(-0.758798\pi\) |
0.972709 | − | 0.232027i | \(-0.0745357\pi\) | |||||||
\(68\) | 14.4375 | − | 3.86850i | 1.75080 | − | 0.469125i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.739116 | − | 0.0998033i | 0.0883412 | − | 0.0119288i | ||||
\(71\) | −9.65572 | −1.14592 | −0.572961 | − | 0.819582i | \(-0.694206\pi\) | ||||
−0.572961 | + | 0.819582i | \(0.694206\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.40459 | − | 5.24201i | 0.164395 | − | 0.613531i | −0.833721 | − | 0.552185i | \(-0.813794\pi\) |
0.998117 | − | 0.0613458i | \(-0.0195392\pi\) | |||||||
\(74\) | 1.26490 | − | 0.730291i | 0.147042 | − | 0.0848947i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.72907i | 0.198338i | ||||||||
\(77\) | 9.75124 | − | 0.905389i | 1.11126 | − | 0.103179i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.99531 | + | 2.30670i | 0.449508 | + | 0.259524i | 0.707622 | − | 0.706591i | \(-0.249768\pi\) |
−0.258114 | + | 0.966114i | \(0.583101\pi\) | |||||||
\(80\) | −8.52084 | − | 1.90689i | −0.952659 | − | 0.213197i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.235436 | + | 0.878657i | 0.0259995 | + | 0.0970315i | ||||
\(83\) | −3.03903 | − | 3.03903i | −0.333577 | − | 0.333577i | 0.520366 | − | 0.853943i | \(-0.325795\pi\) |
−0.853943 | + | 0.520366i | \(0.825795\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.701142 | + | 16.8302i | 0.0760496 | + | 1.82550i | ||||
\(86\) | 0.0486084 | − | 0.0841923i | 0.00524158 | − | 0.00907869i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.79577 | + | 0.481176i | 0.191430 | + | 0.0512935i | ||||
\(89\) | 4.90134 | − | 8.48937i | 0.519541 | − | 0.899872i | −0.480201 | − | 0.877159i | \(-0.659436\pi\) |
0.999742 | − | 0.0227132i | \(-0.00723046\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.63057 | − | 3.56334i | 1.00956 | − | 0.373539i | ||||
\(92\) | 6.59896 | + | 6.59896i | 0.687989 | + | 0.687989i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.453879 | + | 0.786141i | 0.0468140 | + | 0.0810842i | ||||
\(95\) | −1.90161 | − | 0.425564i | −0.195101 | − | 0.0436620i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.30555 | − | 3.30555i | 0.335628 | − | 0.335628i | −0.519091 | − | 0.854719i | \(-0.673730\pi\) |
0.854719 | + | 0.519091i | \(0.173730\pi\) | |||||||
\(98\) | 0.728219 | + | 0.498449i | 0.0735612 | + | 0.0503510i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.22849 | − | 8.97424i | 0.422849 | − | 0.897424i | ||||
\(101\) | −7.57630 | + | 4.37418i | −0.753870 | + | 0.435247i | −0.827091 | − | 0.562069i | \(-0.810006\pi\) |
0.0732204 | + | 0.997316i | \(0.476672\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.00477 | − | 1.34103i | 0.493135 | − | 0.132135i | −0.00367708 | − | 0.999993i | \(-0.501170\pi\) |
0.496812 | + | 0.867858i | \(0.334504\pi\) | |||||||
\(104\) | 1.94938 | 0.191153 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0915027 | 0.00888753 | ||||||||
\(107\) | −12.1512 | + | 3.25590i | −1.17470 | + | 0.314759i | −0.792821 | − | 0.609454i | \(-0.791389\pi\) |
−0.381877 | + | 0.924213i | \(0.624722\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.47631 | − | 3.16175i | 0.524535 | − | 0.302840i | −0.214253 | − | 0.976778i | \(-0.568732\pi\) |
0.738788 | + | 0.673938i | \(0.235398\pi\) | |||||||
\(110\) | −0.483648 | + | 0.924566i | −0.0461141 | + | 0.0881539i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −5.97075 | − | 8.43135i | −0.564183 | − | 0.796687i | ||||
\(113\) | −12.8216 | + | 12.8216i | −1.20615 | + | 1.20615i | −0.233889 | + | 0.972263i | \(0.575145\pi\) |
−0.972263 | + | 0.233889i | \(0.924855\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.88160 | + | 5.63329i | −0.828213 | + | 0.525307i | ||||
\(116\) | 8.51668 | + | 14.7513i | 0.790754 | + | 1.36963i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.158185 | − | 0.158185i | −0.0145621 | − | 0.0145621i | ||||
\(119\) | −12.7301 | + | 15.3360i | −1.16697 | + | 1.40585i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.35045 | + | 2.33905i | −0.122768 | + | 0.212641i | ||||
\(122\) | −0.556131 | − | 0.149015i | −0.0503497 | − | 0.0134912i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.75736 | + | 6.50794i | −0.337421 | + | 0.584430i | ||||
\(125\) | 8.82901 | + | 6.85919i | 0.789691 | + | 0.613505i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.04604 | − | 8.04604i | −0.713971 | − | 0.713971i | 0.253393 | − | 0.967363i | \(-0.418453\pi\) |
−0.967363 | + | 0.253393i | \(0.918453\pi\) | |||||||
\(128\) | −1.02347 | − | 3.81965i | −0.0904629 | − | 0.337612i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.238937 | + | 1.06768i | −0.0209561 | + | 0.0936414i | ||||
\(131\) | 14.3809 | + | 8.30279i | 1.25646 | + | 0.725418i | 0.972385 | − | 0.233384i | \(-0.0749798\pi\) |
0.284076 | + | 0.958802i | \(0.408313\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.33250 | − | 1.88164i | −0.115543 | − | 0.163159i | ||||
\(134\) | 0.982118i | 0.0848420i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.27677 | + | 1.89184i | −0.280980 | + | 0.162224i | ||||
\(137\) | 0.137341 | − | 0.512564i | 0.0117338 | − | 0.0437913i | −0.959811 | − | 0.280648i | \(-0.909451\pi\) |
0.971545 | + | 0.236857i | \(0.0761173\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.5564 | −1.40429 | −0.702147 | − | 0.712032i | \(-0.747775\pi\) | ||||
−0.702147 | + | 0.712032i | \(0.747775\pi\) | |||||||
\(140\) | 10.8297 | − | 4.52796i | 0.915273 | − | 0.382682i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.17579 | − | 0.315052i | 0.0986703 | − | 0.0264386i | ||||
\(143\) | −3.71822 | + | 13.8766i | −0.310933 | + | 1.16042i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −18.3194 | + | 5.73589i | −1.52135 | + | 0.476340i | ||||
\(146\) | 0.684158i | 0.0566213i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 16.2545 | − | 16.2545i | 1.33611 | − | 1.33611i | ||||
\(149\) | 6.72136 | + | 3.88058i | 0.550635 | + | 0.317909i | 0.749378 | − | 0.662142i | \(-0.230353\pi\) |
−0.198743 | + | 0.980052i | \(0.563686\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.15689 | + | 12.3961i | 0.582420 | + | 1.00878i | 0.995192 | + | 0.0979460i | \(0.0312272\pi\) |
−0.412772 | + | 0.910834i | \(0.635439\pi\) | |||||||
\(152\) | −0.113286 | − | 0.422791i | −0.00918874 | − | 0.0342929i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.15788 | + | 0.428420i | −0.0933048 | + | 0.0345230i | ||||
\(155\) | −6.23257 | − | 5.73404i | −0.500612 | − | 0.460570i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.2632 | + | 3.28591i | 0.978708 | + | 0.262244i | 0.712500 | − | 0.701672i | \(-0.247563\pi\) |
0.266208 | + | 0.963916i | \(0.414229\pi\) | |||||||
\(158\) | −0.561780 | − | 0.150528i | −0.0446928 | − | 0.0119754i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.34407 | − | 0.139313i | 0.264372 | − | 0.0110136i | ||||
\(161\) | −12.2667 | − | 2.09576i | −0.966749 | − | 0.165169i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.921031 | − | 3.43733i | −0.0721407 | − | 0.269233i | 0.920429 | − | 0.390910i | \(-0.127839\pi\) |
−0.992570 | + | 0.121677i | \(0.961173\pi\) | |||||||
\(164\) | 7.15828 | + | 12.3985i | 0.558968 | + | 0.968161i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.469227 | + | 0.270908i | 0.0364191 | + | 0.0210266i | ||||
\(167\) | 11.5442 | − | 11.5442i | 0.893316 | − | 0.893316i | −0.101518 | − | 0.994834i | \(-0.532370\pi\) |
0.994834 | + | 0.101518i | \(0.0323698\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.06360i | 0.158739i | ||||||||
\(170\) | −0.634526 | − | 2.02657i | −0.0486659 | − | 0.155431i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.396005 | − | 1.47791i | 0.0301951 | − | 0.112690i | ||||
\(173\) | 1.34338 | − | 0.359958i | 0.102135 | − | 0.0273671i | −0.207389 | − | 0.978258i | \(-0.566497\pi\) |
0.309525 | + | 0.950891i | \(0.399830\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.31436 | + | 13.0247i | 0.174949 | + | 0.984577i | ||||
\(176\) | 14.4539 | 1.08950 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.319848 | + | 1.19369i | −0.0239736 | + | 0.0894707i | ||||
\(179\) | −8.14219 | + | 4.70090i | −0.608576 | + | 0.351362i | −0.772408 | − | 0.635127i | \(-0.780948\pi\) |
0.163832 | + | 0.986488i | \(0.447615\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.5072i | 1.15264i | 0.817225 | + | 0.576319i | \(0.195512\pi\) | ||||
−0.817225 | + | 0.576319i | \(0.804488\pi\) | |||||||
\(182\) | −1.05646 | + | 0.748145i | −0.0783102 | + | 0.0554562i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.04592 | − | 1.18121i | −0.150827 | − | 0.0870802i | ||||
\(185\) | 13.8759 | + | 21.8771i | 1.02018 | + | 1.60844i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.21693 | − | 26.9340i | −0.527754 | − | 1.96961i | ||||
\(188\) | 10.1022 | + | 10.1022i | 0.736782 | + | 0.736782i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.245448 | − | 0.0102253i | 0.0178067 | − | 0.000741820i | ||||
\(191\) | 11.3444 | − | 19.6491i | 0.820853 | − | 1.42176i | −0.0841943 | − | 0.996449i | \(-0.526832\pi\) |
0.905048 | − | 0.425310i | \(-0.139835\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.74163 | − | 1.00257i | −0.269328 | − | 0.0721663i | 0.121627 | − | 0.992576i | \(-0.461189\pi\) |
−0.390956 | + | 0.920410i | \(0.627855\pi\) | |||||||
\(194\) | −0.294666 | + | 0.510377i | −0.0211558 | + | 0.0366429i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 13.1009 | + | 4.61119i | 0.935781 | + | 0.329371i | ||||
\(197\) | 6.60630 | + | 6.60630i | 0.470679 | + | 0.470679i | 0.902134 | − | 0.431455i | \(-0.142000\pi\) |
−0.431455 | + | 0.902134i | \(0.642000\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.62824 | + | 6.28430i | 0.257199 | + | 0.445482i | 0.965491 | − | 0.260438i | \(-0.0838670\pi\) |
−0.708291 | + | 0.705920i | \(0.750534\pi\) | |||||||
\(200\) | −0.445965 | + | 2.47141i | −0.0315345 | + | 0.174755i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.779855 | − | 0.779855i | 0.0548704 | − | 0.0548704i | ||||
\(203\) | −20.6362 | − | 9.48956i | −1.44838 | − | 0.666036i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.3975 | + | 4.82102i | −1.07541 | + | 0.336715i | ||||
\(206\) | −0.565683 | + | 0.326597i | −0.0394130 | + | 0.0227551i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 14.6392 | − | 3.92256i | 1.01505 | − | 0.271981i | ||||
\(209\) | 3.22570 | 0.223126 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.1111 | −1.04029 | −0.520145 | − | 0.854078i | \(-0.674122\pi\) | ||||
−0.520145 | + | 0.854078i | \(0.674122\pi\) | |||||||
\(212\) | 1.39104 | − | 0.372729i | 0.0955373 | − | 0.0255991i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.37343 | − | 0.792951i | 0.0938859 | − | 0.0542050i | ||||
\(215\) | 1.52792 | + | 0.799269i | 0.104203 | + | 0.0545097i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.926421 | − | 9.97776i | −0.0628896 | − | 0.677334i | ||||
\(218\) | −0.563695 | + | 0.563695i | −0.0381782 | + | 0.0381782i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.58638 | + | 16.0256i | −0.241794 | + | 1.08044i | ||||
\(221\) | −14.6189 | − | 25.3208i | −0.983377 | − | 1.70326i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.0743 | − | 12.0743i | −0.808552 | − | 0.808552i | 0.175863 | − | 0.984415i | \(-0.443729\pi\) |
−0.984415 | + | 0.175863i | \(0.943729\pi\) | |||||||
\(224\) | 3.04717 | + | 2.52939i | 0.203598 | + | 0.169002i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.14295 | − | 1.97965i | 0.0760281 | − | 0.131685i | ||||
\(227\) | 21.2411 | + | 5.69153i | 1.40982 | + | 0.377760i | 0.881861 | − | 0.471510i | \(-0.156291\pi\) |
0.527959 | + | 0.849270i | \(0.322957\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.632861 | − | 1.09615i | 0.0418206 | − | 0.0724355i | −0.844357 | − | 0.535780i | \(-0.820018\pi\) |
0.886178 | + | 0.463345i | \(0.153351\pi\) | |||||||
\(230\) | 0.897720 | − | 0.975769i | 0.0591939 | − | 0.0643403i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.04897 | − | 3.04897i | −0.200175 | − | 0.200175i | ||||
\(233\) | −7.52221 | − | 28.0733i | −0.492796 | − | 1.83914i | −0.542038 | − | 0.840354i | \(-0.682347\pi\) |
0.0492411 | − | 0.998787i | \(-0.484320\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −13.5967 | + | 8.62391i | −0.886950 | + | 0.562562i | ||||
\(236\) | −3.04912 | − | 1.76041i | −0.198481 | − | 0.114593i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.04977 | − | 2.28285i | 0.0680466 | − | 0.147975i | ||||
\(239\) | 14.2224i | 0.919969i | 0.887927 | + | 0.459985i | \(0.152145\pi\) | ||||
−0.887927 | + | 0.459985i | \(0.847855\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 23.7218 | − | 13.6958i | 1.52806 | − | 0.882224i | 0.528613 | − | 0.848863i | \(-0.322712\pi\) |
0.999443 | − | 0.0333603i | \(-0.0106209\pi\) | |||||||
\(242\) | 0.0881268 | − | 0.328894i | 0.00566500 | − | 0.0211421i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.06142 | −0.580098 | ||||||||
\(245\) | −8.29575 | + | 13.2733i | −0.529996 | + | 0.848000i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.26706 | − | 0.875406i | 0.207878 | − | 0.0557007i | ||||
\(248\) | 0.492354 | − | 1.83749i | 0.0312645 | − | 0.116681i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.29893 | − | 0.547176i | −0.0821514 | − | 0.0346065i | ||||
\(251\) | 4.81809i | 0.304115i | 0.988372 | + | 0.152058i | \(0.0485899\pi\) | ||||
−0.988372 | + | 0.152058i | \(0.951410\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.3108 | − | 12.3108i | 0.773971 | − | 0.773971i | ||||
\(254\) | 1.24231 | + | 0.717248i | 0.0779495 | + | 0.0450041i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.37183 | − | 12.7684i | −0.460740 | − | 0.798024i | ||||
\(257\) | 2.54189 | + | 9.48647i | 0.158559 | + | 0.591750i | 0.998774 | + | 0.0494970i | \(0.0157618\pi\) |
−0.840215 | + | 0.542253i | \(0.817571\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.16227 | + | 30.2152i | −0.320768 | + | 1.87748i | ||||
\(260\) | 0.716727 | + | 17.2043i | 0.0444495 | + | 1.06697i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.02209 | − | 0.541817i | −0.124925 | − | 0.0334735i | ||||
\(263\) | 27.6390 | + | 7.40584i | 1.70429 | + | 0.456664i | 0.974015 | − | 0.226486i | \(-0.0727236\pi\) |
0.730279 | + | 0.683150i | \(0.239390\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.0675548 | + | 1.62159i | 0.00414986 | + | 0.0996134i | ||||
\(266\) | 0.223656 | + | 0.185652i | 0.0137132 | + | 0.0113831i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.00058 | + | 14.9304i | 0.244374 | + | 0.912017i | ||||
\(269\) | 8.04725 | + | 13.9382i | 0.490650 | + | 0.849830i | 0.999942 | − | 0.0107635i | \(-0.00342621\pi\) |
−0.509293 | + | 0.860593i | \(0.670093\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.7678 | + | 7.37150i | 0.775589 | + | 0.447787i | 0.834865 | − | 0.550455i | \(-0.185546\pi\) |
−0.0592756 | + | 0.998242i | \(0.518879\pi\) | |||||||
\(272\) | −20.8006 | + | 20.8006i | −1.26122 | + | 1.26122i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.0668969i | 0.00404139i | ||||||||
\(275\) | −16.7420 | − | 7.88850i | −1.00958 | − | 0.475695i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.11668 | + | 7.89956i | −0.127179 | + | 0.474639i | −0.999908 | − | 0.0135665i | \(-0.995682\pi\) |
0.872729 | + | 0.488205i | \(0.162348\pi\) | |||||||
\(278\) | 2.01610 | − | 0.540211i | 0.120917 | − | 0.0323997i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.35139 | + | 1.81671i | −0.140522 | + | 0.108569i | ||||
\(281\) | 6.63025 | 0.395527 | 0.197764 | − | 0.980250i | \(-0.436632\pi\) | ||||
0.197764 | + | 0.980250i | \(0.436632\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.45149 | − | 16.6132i | 0.264613 | − | 0.987550i | −0.697873 | − | 0.716221i | \(-0.745870\pi\) |
0.962487 | − | 0.271329i | \(-0.0874632\pi\) | |||||||
\(284\) | 16.5913 | − | 9.57899i | 0.984512 | − | 0.568408i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 1.81109i | − | 0.107092i | ||||||
\(287\) | −17.3447 | − | 7.97599i | −1.02383 | − | 0.470808i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 34.4242 | + | 19.8748i | 2.02496 | + | 1.16911i | ||||
\(290\) | 2.04363 | − | 1.29621i | 0.120006 | − | 0.0761158i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.78686 | + | 10.4007i | 0.163089 | + | 0.608656i | ||||
\(293\) | 15.4579 | + | 15.4579i | 0.903059 | + | 0.903059i | 0.995700 | − | 0.0926408i | \(-0.0295308\pi\) |
−0.0926408 | + | 0.995700i | \(0.529531\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.68653 | − | 2.92010i | 0.156416 | − | 0.170015i | ||||
\(296\) | −2.90956 | + | 5.03950i | −0.169115 | + | 0.292915i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.945088 | − | 0.253236i | −0.0547475 | − | 0.0146695i | ||||
\(299\) | 9.12767 | − | 15.8096i | 0.527867 | − | 0.914292i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.707999 | + | 1.91349i | 0.0408084 | + | 0.110292i | ||||
\(302\) | −1.27597 | − | 1.27597i | −0.0734240 | − | 0.0734240i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.70148 | − | 2.94706i | −0.0975868 | − | 0.169025i | ||||
\(305\) | 2.23022 | − | 9.96563i | 0.127702 | − | 0.570630i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.788081 | − | 0.788081i | 0.0449782 | − | 0.0449782i | −0.684260 | − | 0.729238i | \(-0.739875\pi\) |
0.729238 | + | 0.684260i | \(0.239875\pi\) | |||||||
\(308\) | −15.8572 | + | 11.2295i | −0.903550 | + | 0.639858i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.946043 | + | 0.494884i | 0.0537317 | + | 0.0281075i | ||||
\(311\) | −9.94659 | + | 5.74267i | −0.564019 | + | 0.325637i | −0.754757 | − | 0.656004i | \(-0.772245\pi\) |
0.190738 | + | 0.981641i | \(0.438912\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.65926 | − | 2.58819i | 0.545974 | − | 0.146293i | 0.0247191 | − | 0.999694i | \(-0.492131\pi\) |
0.521255 | + | 0.853401i | \(0.325464\pi\) | |||||||
\(314\) | −1.60052 | −0.0903226 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −9.15346 | −0.514922 | ||||||||
\(317\) | 8.80889 | − | 2.36034i | 0.494757 | − | 0.132570i | −0.00280878 | − | 0.999996i | \(-0.500894\pi\) |
0.497566 | + | 0.867426i | \(0.334227\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 27.5195 | − | 15.8884i | 1.54080 | − | 0.889579i | ||||
\(320\) | 16.2628 | − | 5.09193i | 0.909116 | − | 0.284648i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.56211 | − | 0.145040i | 0.0870532 | − | 0.00808277i | ||||
\(323\) | −4.64211 | + | 4.64211i | −0.258294 | + | 0.258294i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −19.0975 | − | 3.44613i | −1.05934 | − | 0.191157i | ||||
\(326\) | 0.224311 | + | 0.388517i | 0.0124234 | + | 0.0215180i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.56266 | − | 2.56266i | −0.141499 | − | 0.141499i | ||||
\(329\) | −18.7788 | − | 3.20837i | −1.03531 | − | 0.176883i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.2579 | − | 22.9634i | 0.728722 | − | 1.26218i | −0.228701 | − | 0.973497i | \(-0.573448\pi\) |
0.957423 | − | 0.288687i | \(-0.0932188\pi\) | |||||||
\(332\) | 8.23681 | + | 2.20705i | 0.452054 | + | 0.121127i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.02908 | + | 1.78242i | −0.0563089 | + | 0.0975299i | ||||
\(335\) | −17.4048 | + | 0.725080i | −0.950928 | + | 0.0396154i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.9637 | − | 10.9637i | −0.597230 | − | 0.597230i | 0.342345 | − | 0.939574i | \(-0.388779\pi\) |
−0.939574 | + | 0.342345i | \(0.888779\pi\) | |||||||
\(338\) | −0.0673325 | − | 0.251288i | −0.00366240 | − | 0.0136683i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −17.9013 | − | 28.2236i | −0.970832 | − | 1.53064i | ||||
\(341\) | 12.1410 | + | 7.00959i | 0.657470 | + | 0.379590i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.8105 | + | 5.07811i | −0.961675 | + | 0.274192i | ||||
\(344\) | 0.387322i | 0.0208830i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.151841 | + | 0.0876652i | −0.00816300 | + | 0.00471291i | ||||
\(347\) | −4.24408 | + | 15.8391i | −0.227834 | + | 0.850289i | 0.753415 | + | 0.657545i | \(0.228405\pi\) |
−0.981249 | + | 0.192743i | \(0.938262\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.1944 | 0.866868 | 0.433434 | − | 0.901185i | \(-0.357302\pi\) | ||||
0.433434 | + | 0.901185i | \(0.357302\pi\) | |||||||
\(350\) | −0.706802 | − | 1.51053i | −0.0377802 | − | 0.0807411i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.35162 | + | 1.43396i | −0.285242 | + | 0.0764304i | ||||
\(353\) | −2.94135 | + | 10.9773i | −0.156552 | + | 0.584262i | 0.842415 | + | 0.538829i | \(0.181133\pi\) |
−0.998967 | + | 0.0454324i | \(0.985533\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.45134 | + | 20.6045i | 0.342402 | + | 1.09357i | ||||
\(356\) | 19.4496i | 1.03083i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.838104 | − | 0.838104i | 0.0442952 | − | 0.0442952i | ||||
\(359\) | −28.1308 | − | 16.2413i | −1.48469 | − | 0.857186i | −0.484841 | − | 0.874603i | \(-0.661122\pi\) |
−0.999848 | + | 0.0174170i | \(0.994456\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.12028 | + | 15.7968i | 0.480015 | + | 0.831410i | ||||
\(362\) | −0.505977 | − | 1.88833i | −0.0265936 | − | 0.0992485i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −13.0131 | + | 15.6769i | −0.682070 | + | 0.821692i | ||||
\(365\) | −12.1245 | + | 0.505102i | −0.634624 | + | 0.0264382i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.8299 | − | 4.50955i | −0.878512 | − | 0.235397i | −0.208747 | − | 0.977970i | \(-0.566939\pi\) |
−0.669765 | + | 0.742573i | \(0.733605\pi\) | |||||||
\(368\) | −17.7410 | − | 4.75369i | −0.924814 | − | 0.247803i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.40351 | − | 2.21126i | −0.124952 | − | 0.114958i | ||||
\(371\) | −1.22654 | + | 1.47762i | −0.0636788 | + | 0.0767141i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.02329 | − | 7.55101i | −0.104762 | − | 0.390977i | 0.893556 | − | 0.448951i | \(-0.148202\pi\) |
−0.998318 | + | 0.0579747i | \(0.981536\pi\) | |||||||
\(374\) | 1.75763 | + | 3.04431i | 0.0908851 | + | 0.157418i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.13207 | − | 1.80830i | −0.161524 | − | 0.0932560i | ||||
\(377\) | 23.5605 | − | 23.5605i | 1.21343 | − | 1.21343i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.54919i | 0.233676i | 0.993151 | + | 0.116838i | \(0.0372759\pi\) | ||||
−0.993151 | + | 0.116838i | \(0.962724\pi\) | |||||||
\(380\) | 3.68970 | − | 1.15526i | 0.189278 | − | 0.0592635i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.740305 | + | 2.76285i | −0.0378773 | + | 0.141360i | ||||
\(383\) | 3.45940 | − | 0.926942i | 0.176767 | − | 0.0473645i | −0.169350 | − | 0.985556i | \(-0.554167\pi\) |
0.346117 | + | 0.938191i | \(0.387500\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.44719 | − | 20.2034i | −0.430509 | − | 1.02966i | ||||
\(386\) | 0.488336 | 0.0248557 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.40060 | + | 8.95916i | −0.121872 | + | 0.454832i | ||||
\(389\) | 12.7185 | − | 7.34303i | 0.644854 | − | 0.372306i | −0.141628 | − | 0.989920i | \(-0.545234\pi\) |
0.786482 | + | 0.617613i | \(0.211900\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 35.4329i | 1.79192i | ||||||||
\(392\) | −3.50554 | − | 0.269167i | −0.177056 | − | 0.0135950i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.02001 | − | 0.588905i | −0.0513875 | − | 0.0296686i | ||||
\(395\) | 2.25287 | − | 10.0668i | 0.113354 | − | 0.506518i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.64804 | − | 21.0788i | −0.283467 | − | 1.05791i | −0.949952 | − | 0.312396i | \(-0.898869\pi\) |
0.666485 | − | 0.745519i | \(-0.267798\pi\) | |||||||
\(398\) | −0.646865 | − | 0.646865i | −0.0324244 | − | 0.0324244i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.62395 | + | 19.4568i | 0.0811974 | + | 0.972841i | ||||
\(401\) | −4.14622 | + | 7.18147i | −0.207052 | + | 0.358625i | −0.950785 | − | 0.309852i | \(-0.899720\pi\) |
0.743732 | + | 0.668478i | \(0.233054\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.1989 | + | 3.80460i | 0.707300 | + | 0.189520i | ||||
\(404\) | 8.67884 | − | 15.0322i | 0.431788 | − | 0.747880i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.82253 | + | 0.482229i | 0.140080 | + | 0.0239326i | ||||
\(407\) | −30.3238 | − | 30.3238i | −1.50310 | − | 1.50310i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.3875 | − | 21.4559i | −0.612524 | − | 1.06092i | −0.990813 | − | 0.135236i | \(-0.956821\pi\) |
0.378289 | − | 0.925688i | \(-0.376513\pi\) | |||||||
\(410\) | 1.71768 | − | 1.08946i | 0.0848300 | − | 0.0538047i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.26927 | + | 7.26927i | −0.358131 | + | 0.358131i | ||||
\(413\) | 4.67480 | − | 0.434049i | 0.230032 | − | 0.0213582i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.45455 | + | 8.51553i | −0.218665 | + | 0.418011i | ||||
\(416\) | −5.03108 | + | 2.90470i | −0.246669 | + | 0.142415i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.392798 | + | 0.105250i | −0.0192124 | + | 0.00514794i | ||||
\(419\) | −5.14214 | −0.251210 | −0.125605 | − | 0.992080i | \(-0.540087\pi\) | ||||
−0.125605 | + | 0.992080i | \(0.540087\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.57058 | 0.320230 | 0.160115 | − | 0.987098i | \(-0.448813\pi\) | ||||
0.160115 | + | 0.987098i | \(0.448813\pi\) | |||||||
\(422\) | 1.84010 | − | 0.493053i | 0.0895746 | − | 0.0240014i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.315715 | + | 0.182278i | −0.0153325 | + | 0.00885222i | ||||
\(425\) | 35.4458 | − | 12.7411i | 1.71938 | − | 0.618033i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.86095 | − | 6.98314i | 0.477205 | − | 0.337938i | ||||
\(428\) | 17.6492 | − | 17.6492i | 0.853105 | − | 0.853105i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.212136 | − | 0.0474743i | −0.0102301 | − | 0.00228941i | ||||
\(431\) | −1.26581 | − | 2.19244i | −0.0609718 | − | 0.105606i | 0.833928 | − | 0.551873i | \(-0.186087\pi\) |
−0.894900 | + | 0.446267i | \(0.852753\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.64351 | − | 8.64351i | −0.415381 | − | 0.415381i | 0.468227 | − | 0.883608i | \(-0.344893\pi\) |
−0.883608 | + | 0.468227i | \(0.844893\pi\) | |||||||
\(434\) | 0.438372 | + | 1.18478i | 0.0210425 | + | 0.0568712i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.27325 | + | 10.8656i | −0.300434 | + | 0.520367i | ||||
\(437\) | −3.95929 | − | 1.06089i | −0.189399 | − | 0.0507492i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.7845 | + | 20.4114i | −0.562444 | + | 0.974182i | 0.434838 | + | 0.900509i | \(0.356806\pi\) |
−0.997282 | + | 0.0736734i | \(0.976528\pi\) | |||||||
\(440\) | −0.173034 | − | 4.15352i | −0.00824909 | − | 0.198011i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.60635 | + | 2.60635i | 0.123972 | + | 0.123972i | ||||
\(443\) | −3.14174 | − | 11.7251i | −0.149269 | − | 0.557078i | −0.999528 | − | 0.0307144i | \(-0.990222\pi\) |
0.850260 | − | 0.526364i | \(-0.176445\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.3904 | − | 4.78698i | −1.01400 | − | 0.226925i | ||||
\(446\) | 1.86427 | + | 1.07633i | 0.0882756 | + | 0.0509659i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 18.3194 | + | 8.42419i | 0.865510 | + | 0.398006i | ||||
\(449\) | 21.4176i | 1.01076i | 0.862897 | + | 0.505380i | \(0.168648\pi\) | ||||
−0.862897 | + | 0.505380i | \(0.831352\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 23.1302 | − | 13.3542i | 1.08916 | − | 0.628825i | ||||
\(452\) | 9.31146 | − | 34.7508i | 0.437974 | − | 1.63454i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.77227 | −0.130109 | ||||||||
\(455\) | −14.0384 | − | 18.1700i | −0.658131 | − | 0.851823i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.26213 | + | 2.21383i | −0.386486 | + | 0.103559i | −0.446830 | − | 0.894619i | \(-0.647447\pi\) |
0.0603436 | + | 0.998178i | \(0.480780\pi\) | |||||||
\(458\) | −0.0412987 | + | 0.154129i | −0.00192976 | + | 0.00720197i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 9.67261 | − | 18.4906i | 0.450988 | − | 0.862130i | ||||
\(461\) | 10.8496i | 0.505318i | 0.967555 | + | 0.252659i | \(0.0813051\pi\) | ||||
−0.967555 | + | 0.252659i | \(0.918695\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.9276 | − | 11.9276i | 0.554322 | − | 0.554322i | −0.373363 | − | 0.927685i | \(-0.621795\pi\) |
0.927685 | + | 0.373363i | \(0.121795\pi\) | |||||||
\(464\) | −29.0319 | − | 16.7616i | −1.34777 | − | 0.778136i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.83198 | + | 3.17309i | 0.0848650 | + | 0.146990i | ||||
\(467\) | 4.38785 | + | 16.3757i | 0.203045 | + | 0.757776i | 0.990036 | + | 0.140811i | \(0.0449711\pi\) |
−0.786991 | + | 0.616964i | \(0.788362\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −15.8596 | − | 13.1647i | −0.732327 | − | 0.607890i | ||||
\(470\) | 1.37430 | − | 1.49379i | 0.0633919 | − | 0.0689033i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.860905 | + | 0.230679i | 0.0396263 | + | 0.0106178i | ||||
\(473\) | −2.75714 | − | 0.738772i | −0.126773 | − | 0.0339688i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.362420 | + | 4.34221i | 0.0166289 | + | 0.199234i | ||||
\(476\) | 6.65983 | − | 38.9806i | 0.305253 | − | 1.78667i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.464056 | − | 1.73188i | −0.0212254 | − | 0.0792144i | ||||
\(479\) | −4.40083 | − | 7.62247i | −0.201079 | − | 0.348279i | 0.747797 | − | 0.663927i | \(-0.231112\pi\) |
−0.948876 | + | 0.315648i | \(0.897778\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −38.9421 | − | 22.4832i | −1.77561 | − | 1.02515i | ||||
\(482\) | −2.44177 | + | 2.44177i | −0.111219 | + | 0.111219i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 5.35889i | − | 0.243586i | ||||||
\(485\) | −9.26232 | − | 4.84520i | −0.420580 | − | 0.220009i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.961805 | − | 3.58951i | 0.0435836 | − | 0.162656i | −0.940704 | − | 0.339228i | \(-0.889834\pi\) |
0.984288 | + | 0.176572i | \(0.0565008\pi\) | |||||||
\(488\) | 2.21569 | − | 0.593691i | 0.100299 | − | 0.0268751i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.577098 | − | 1.88699i | 0.0260706 | − | 0.0852455i | ||||
\(491\) | −19.1608 | −0.864717 | −0.432358 | − | 0.901702i | \(-0.642318\pi\) | ||||
−0.432358 | + | 0.901702i | \(0.642318\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −16.7384 | + | 62.4684i | −0.753858 | + | 2.81344i | ||||
\(494\) | −0.369272 | + | 0.213199i | −0.0166143 | + | 0.00959228i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 14.7896i | − | 0.664074i | ||||||
\(497\) | −10.6732 | + | 23.2102i | −0.478759 | + | 1.04112i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.01766 | − | 3.47430i | −0.269387 | − | 0.155531i | 0.359222 | − | 0.933252i | \(-0.383042\pi\) |
−0.628609 | + | 0.777721i | \(0.716375\pi\) | |||||||
\(500\) | −21.9755 | − | 3.02721i | −0.982773 | − | 0.135381i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.157208 | − | 0.586707i | −0.00701652 | − | 0.0261860i | ||||
\(503\) | −1.96117 | − | 1.96117i | −0.0874443 | − | 0.0874443i | 0.662032 | − | 0.749476i | \(-0.269694\pi\) |
−0.749476 | + | 0.662032i | \(0.769694\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 14.3961 | + | 13.2446i | 0.640620 | + | 0.589378i | ||||
\(506\) | −1.09742 | + | 1.90078i | −0.0487862 | + | 0.0845002i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 21.8075 | + | 5.84330i | 0.967552 | + | 0.259255i | ||||
\(509\) | 8.67817 | − | 15.0310i | 0.384653 | − | 0.666239i | −0.607068 | − | 0.794650i | \(-0.707654\pi\) |
0.991721 | + | 0.128411i | \(0.0409877\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.0480 | − | 9.17073i | −0.488735 | − | 0.405689i | ||||
\(512\) | 6.90664 | + | 6.90664i | 0.305233 | + | 0.305233i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.619060 | − | 1.07224i | −0.0273056 | − | 0.0472947i | ||||
\(515\) | −6.20551 | − | 9.78377i | −0.273447 | − | 0.431125i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 18.8463 | − | 18.8463i | 0.828861 | − | 0.828861i | ||||
\(518\) | −0.357262 | − | 3.84779i | −0.0156972 | − | 0.169062i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.30246 | − | 4.15982i | −0.0571165 | − | 0.182420i | ||||
\(521\) | 14.5104 | − | 8.37757i | 0.635711 | − | 0.367028i | −0.147249 | − | 0.989099i | \(-0.547042\pi\) |
0.782961 | + | 0.622071i | \(0.213709\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.02501 | + | 1.88235i | −0.307182 | + | 0.0823093i | −0.409117 | − | 0.912482i | \(-0.634163\pi\) |
0.101935 | + | 0.994791i | \(0.467497\pi\) | |||||||
\(524\) | −32.9472 | −1.43931 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.60728 | −0.157285 | ||||||||
\(527\) | −27.5596 | + | 7.38458i | −1.20052 | + | 0.321677i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.759206 | − | 0.438328i | 0.0330089 | − | 0.0190577i | ||||
\(530\) | −0.0611364 | − | 0.195259i | −0.00265559 | − | 0.00848151i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.15631 | + | 1.91128i | 0.180199 | + | 0.0828646i | ||||
\(533\) | 19.8026 | − | 19.8026i | 0.857748 | − | 0.857748i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.0665 | + | 23.7542i | 0.651380 | + | 1.02698i | ||||
\(536\) | −1.95643 | − | 3.38864i | −0.0845049 | − | 0.146367i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.43471 | − | 1.43471i | −0.0618548 | − | 0.0618548i | ||||
\(539\) | 8.60245 | − | 24.4406i | 0.370534 | − | 1.05273i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.1474 | − | 19.3079i | 0.479266 | − | 0.830113i | −0.520451 | − | 0.853892i | \(-0.674236\pi\) |
0.999717 | + | 0.0237781i | \(0.00756951\pi\) | |||||||
\(542\) | −1.79528 | − | 0.481043i | −0.0771138 | − | 0.0206626i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.63791 | − | 9.76515i | 0.241723 | − | 0.418677i | ||||
\(545\) | −10.4058 | − | 9.57349i | −0.445737 | − | 0.410083i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.74792 | − | 8.74792i | −0.374034 | − | 0.374034i | 0.494910 | − | 0.868944i | \(-0.335201\pi\) |
−0.868944 | + | 0.494910i | \(0.835201\pi\) | |||||||
\(548\) | 0.272499 | + | 1.01698i | 0.0116406 | + | 0.0434433i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.29609 | + | 0.414328i | 0.0979056 | + | 0.0176670i | ||||
\(551\) | −6.47910 | − | 3.74071i | −0.276019 | − | 0.159360i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 9.96111 | − | 7.05407i | 0.423590 | − | 0.299970i | ||||
\(554\) | − | 1.03101i | − | 0.0438033i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 28.4486 | − | 16.4248i | 1.20649 | − | 0.696567i | ||||
\(557\) | 0.284761 | − | 1.06274i | 0.0120657 | − | 0.0450299i | −0.959631 | − | 0.281264i | \(-0.909246\pi\) |
0.971696 | + | 0.236234i | \(0.0759131\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.99298 | −0.126590 | ||||||||
\(560\) | −14.0025 | + | 18.3744i | −0.591713 | + | 0.776459i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.807376 | + | 0.216336i | −0.0340571 | + | 0.00912557i | ||||
\(563\) | −0.145941 | + | 0.544658i | −0.00615066 | + | 0.0229546i | −0.968933 | − | 0.247323i | \(-0.920449\pi\) |
0.962782 | + | 0.270278i | \(0.0871156\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 35.9267 | + | 18.7936i | 1.51145 | + | 0.790652i | ||||
\(566\) | 2.16826i | 0.0911387i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.42928 | + | 3.42928i | −0.143889 | + | 0.143889i | ||||
\(569\) | 6.51431 | + | 3.76104i | 0.273094 | + | 0.157671i | 0.630293 | − | 0.776357i | \(-0.282935\pi\) |
−0.357199 | + | 0.934028i | \(0.616268\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.37274 | + | 14.5020i | 0.350388 | + | 0.606890i | 0.986317 | − | 0.164857i | \(-0.0527163\pi\) |
−0.635929 | + | 0.771747i | \(0.719383\pi\) | |||||||
\(572\) | −7.37735 | − | 27.5326i | −0.308463 | − | 1.15120i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.37234 | + | 0.405314i | 0.0990196 | + | 0.0169175i | ||||
\(575\) | 17.9551 | + | 15.1888i | 0.748779 | + | 0.633415i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 38.1758 | + | 10.2292i | 1.58928 | + | 0.425846i | 0.941782 | − | 0.336224i | \(-0.109150\pi\) |
0.647495 | + | 0.762069i | \(0.275817\pi\) | |||||||
\(578\) | −4.84038 | − | 1.29698i | −0.201333 | − | 0.0539471i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 25.7877 | − | 28.0298i | 1.07078 | − | 1.16387i | ||||
\(581\) | −10.6644 | + | 3.94587i | −0.442435 | + | 0.163702i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.695349 | − | 2.59508i | −0.0287984 | − | 0.107477i | ||||
\(584\) | −1.36288 | − | 2.36058i | −0.0563963 | − | 0.0976813i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.38670 | − | 1.37796i | −0.0985936 | − | 0.0569230i | ||||
\(587\) | −12.1014 | + | 12.1014i | −0.499478 | + | 0.499478i | −0.911276 | − | 0.411797i | \(-0.864901\pi\) |
0.411797 | + | 0.911276i | \(0.364901\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 3.30063i | − | 0.136000i | ||||||
\(590\) | −0.231864 | + | 0.443243i | −0.00954569 | + | 0.0182480i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −11.7093 | + | 43.6996i | −0.481248 | + | 1.79604i | ||||
\(593\) | 27.1418 | − | 7.27262i | 1.11458 | − | 0.298651i | 0.345891 | − | 0.938275i | \(-0.387577\pi\) |
0.768688 | + | 0.639624i | \(0.220910\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 41.2311 | + | 16.9184i | 1.69031 | + | 0.693586i | ||||
\(596\) | −15.3990 | −0.630766 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.595646 | + | 2.22298i | −0.0243578 | + | 0.0909044i | ||||
\(599\) | −14.3913 | + | 8.30881i | −0.588012 | + | 0.339489i | −0.764311 | − | 0.644848i | \(-0.776921\pi\) |
0.176299 | + | 0.984337i | \(0.443587\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 29.3634i | 1.19776i | 0.800839 | + | 0.598880i | \(0.204387\pi\) | ||||
−0.800839 | + | 0.598880i | \(0.795613\pi\) | |||||||
\(602\) | −0.148649 | − | 0.209908i | −0.00605847 | − | 0.00855522i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −24.5952 | − | 14.2000i | −1.00076 | − | 0.577791i | ||||
\(605\) | 5.89363 | + | 1.31894i | 0.239610 | + | 0.0536227i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.17995 | + | 23.0639i | 0.250837 | + | 0.936135i | 0.970359 | + | 0.241666i | \(0.0776938\pi\) |
−0.719523 | + | 0.694469i | \(0.755639\pi\) | |||||||
\(608\) | 0.922359 | + | 0.922359i | 0.0374066 | + | 0.0374066i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.0535868 | + | 1.28630i | 0.00216967 | + | 0.0520807i | ||||
\(611\) | 13.9734 | − | 24.2026i | 0.565303 | − | 0.979134i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −27.8223 | − | 7.45496i | −1.12373 | − | 0.301103i | −0.351339 | − | 0.936248i | \(-0.614274\pi\) |
−0.772393 | + | 0.635145i | \(0.780940\pi\) | |||||||
\(614\) | −0.0702519 | + | 0.121680i | −0.00283514 | + | 0.00491060i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.14165 | − | 3.78476i | 0.126581 | − | 0.152492i | ||||
\(617\) | −20.2319 | − | 20.2319i | −0.814506 | − | 0.814506i | 0.170800 | − | 0.985306i | \(-0.445365\pi\) |
−0.985306 | + | 0.170800i | \(0.945365\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −16.6641 | − | 28.8630i | −0.669785 | − | 1.16010i | −0.977964 | − | 0.208773i | \(-0.933053\pi\) |
0.308179 | − | 0.951328i | \(-0.400280\pi\) | |||||||
\(620\) | 16.3978 | + | 3.66969i | 0.658552 | + | 0.147378i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.02384 | − | 1.02384i | 0.0410521 | − | 0.0410521i | ||||
\(623\) | −14.9887 | − | 21.1657i | −0.600510 | − | 0.847986i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.73794 | − | 23.4232i | 0.349518 | − | 0.936930i | ||||
\(626\) | −1.09177 | + | 0.630336i | −0.0436361 | + | 0.0251933i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −24.3315 | + | 6.51959i | −0.970931 | + | 0.260160i | ||||
\(629\) | 87.2782 | 3.48001 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −40.8064 | −1.62448 | −0.812238 | − | 0.583327i | \(-0.801751\pi\) | ||||
−0.812238 | + | 0.583327i | \(0.801751\pi\) | |||||||
\(632\) | 2.23819 | − | 0.599721i | 0.0890305 | − | 0.0238556i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.995658 | + | 0.574844i | −0.0395426 | + | 0.0228300i | ||||
\(635\) | −11.7937 | + | 22.5454i | −0.468019 | + | 0.894688i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.07995 | − | 27.0886i | 0.0824107 | − | 1.07329i | ||||
\(638\) | −2.83268 | + | 2.83268i | −0.112147 | + | 0.112147i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −7.46698 | + | 4.73605i | −0.295158 | + | 0.187209i | ||||
\(641\) | 10.5565 | + | 18.2844i | 0.416957 | + | 0.722191i | 0.995632 | − | 0.0933673i | \(-0.0297631\pi\) |
−0.578674 | + | 0.815559i | \(0.696430\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −24.4664 | − | 24.4664i | −0.964860 | − | 0.964860i | 0.0345429 | − | 0.999403i | \(-0.489002\pi\) |
−0.999403 | + | 0.0345429i | \(0.989002\pi\) | |||||||
\(644\) | 23.1568 | − | 8.56807i | 0.912505 | − | 0.337629i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.413811 | − | 0.716742i | 0.0162812 | − | 0.0281999i | ||||
\(647\) | −3.04988 | − | 0.817214i | −0.119903 | − | 0.0321280i | 0.198368 | − | 0.980128i | \(-0.436436\pi\) |
−0.318272 | + | 0.948000i | \(0.603102\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.28415 | + | 5.68831i | −0.128914 | + | 0.223286i | ||||
\(650\) | 2.43797 | − | 0.203484i | 0.0956252 | − | 0.00798128i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.99261 | + | 4.99261i | 0.195526 | + | 0.195526i | ||||
\(653\) | 2.24234 | + | 8.36853i | 0.0877496 | + | 0.327486i | 0.995821 | − | 0.0913301i | \(-0.0291118\pi\) |
−0.908071 | + | 0.418816i | \(0.862445\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 8.10906 | − | 36.2349i | 0.316847 | − | 1.41582i | ||||
\(656\) | −24.4013 | − | 14.0881i | −0.952712 | − | 0.550049i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.39141 | − | 0.222039i | 0.0932270 | − | 0.00865600i | ||||
\(659\) | − | 41.9974i | − | 1.63599i | −0.575228 | − | 0.817993i | \(-0.695087\pi\) | ||
0.575228 | − | 0.817993i | \(-0.304913\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −38.1356 | + | 22.0176i | −1.48330 | + | 0.856385i | −0.999820 | − | 0.0189695i | \(-0.993961\pi\) |
−0.483482 | + | 0.875354i | \(0.660628\pi\) | |||||||
\(662\) | −0.865176 | + | 3.22888i | −0.0336260 | + | 0.125494i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.15866 | −0.0837721 | ||||||||
\(665\) | −3.12496 | + | 4.10064i | −0.121181 | + | 0.159016i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −39.0036 | + | 10.4510i | −1.51022 | + | 0.404663i | ||||
\(668\) | −8.38378 | + | 31.2887i | −0.324378 | + | 1.21060i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.09576 | − | 0.656189i | 0.0809661 | − | 0.0253508i | ||||
\(671\) | 16.9046i | 0.652596i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.4071 | + | 17.4071i | −0.670993 | + | 0.670993i | −0.957945 | − | 0.286952i | \(-0.907358\pi\) |
0.286952 | + | 0.957945i | \(0.407358\pi\) | |||||||
\(674\) | 1.69279 | + | 0.977335i | 0.0652040 | + | 0.0376455i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.04721 | − | 3.54586i | −0.0787387 | − | 0.136379i | ||||
\(677\) | 6.21465 | + | 23.1934i | 0.238848 | + | 0.891394i | 0.976376 | + | 0.216078i | \(0.0693264\pi\) |
−0.737528 | + | 0.675317i | \(0.764007\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.29192 | − | 11.5997i | −0.164709 | − | 0.445155i | ||||
\(680\) | 6.22636 | + | 5.72833i | 0.238770 | + | 0.219671i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.70714 | − | 0.457426i | −0.0653696 | − | 0.0175157i | ||||
\(683\) | 16.8662 | + | 4.51928i | 0.645366 | + | 0.172925i | 0.566633 | − | 0.823970i | \(-0.308246\pi\) |
0.0787333 | + | 0.996896i | \(0.474912\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.18553 | + | 0.0493888i | −0.0452968 | + | 0.00188705i | ||||
\(686\) | 2.00312 | − | 1.19950i | 0.0764794 | − | 0.0457971i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.779373 | + | 2.90866i | 0.0297133 | + | 0.110892i | ||||
\(689\) | −1.40853 | − | 2.43965i | −0.0536608 | − | 0.0929432i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.6772 | + | 10.7833i | 0.710515 | + | 0.410216i | 0.811252 | − | 0.584697i | \(-0.198787\pi\) |
−0.100736 | + | 0.994913i | \(0.532120\pi\) | |||||||
\(692\) | −1.95122 | + | 1.95122i | −0.0741741 | + | 0.0741741i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 2.06723i | − | 0.0784711i | ||||||
\(695\) | 11.0619 | + | 35.3299i | 0.419603 | + | 1.34014i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −14.0686 | + | 52.5048i | −0.532887 | + | 1.98876i | ||||
\(698\) | −1.97202 | + | 0.528402i | −0.0746421 | + | 0.0200003i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −16.8980 | − | 20.0843i | −0.638683 | − | 0.759114i | ||||
\(701\) | 22.3591 | 0.844490 | 0.422245 | − | 0.906482i | \(-0.361242\pi\) | ||||
0.422245 | + | 0.906482i | \(0.361242\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.61318 | + | 9.75251i | −0.0985579 | + | 0.367823i | ||||
\(704\) | −24.4299 | + | 14.1046i | −0.920738 | + | 0.531588i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 1.43269i | − | 0.0539201i | ||||||
\(707\) | 2.13987 | + | 23.0469i | 0.0804781 | + | 0.866766i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.6895 | + | 10.7904i | 0.701901 | + | 0.405243i | 0.808055 | − | 0.589107i | \(-0.200520\pi\) |
−0.106154 | + | 0.994350i | \(0.533854\pi\) | |||||||
\(710\) | −1.45789 | − | 2.29854i | −0.0547135 | − | 0.0862627i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.27431 | − | 4.75578i | −0.0477567 | − | 0.178230i | ||||
\(713\) | −12.5967 | − | 12.5967i | −0.471752 | − | 0.471752i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 32.0958 | − | 1.33710i | 1.20031 | − | 0.0500047i | ||||
\(716\) | 9.32708 | − | 16.1550i | 0.348570 | − | 0.603740i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.95547 | + | 1.05986i | 0.147617 | + | 0.0395538i | ||||
\(719\) | −22.2333 | + | 38.5092i | −0.829162 | + | 1.43615i | 0.0695345 | + | 0.997580i | \(0.477849\pi\) |
−0.898696 | + | 0.438571i | \(0.855485\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.30864 | − | 13.5127i | 0.0859784 | − | 0.503239i | ||||
\(722\) | −1.62602 | − | 1.62602i | −0.0605141 | − | 0.0605141i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −15.3839 | − | 26.6458i | −0.571740 | − | 0.990282i | ||||
\(725\) | 24.4798 | + | 35.2598i | 0.909157 | + | 1.30951i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.94393 | − | 6.94393i | 0.257536 | − | 0.257536i | −0.566515 | − | 0.824051i | \(-0.691709\pi\) |
0.824051 | + | 0.566515i | \(0.191709\pi\) | |||||||
\(728\) | 2.15481 | − | 4.68588i | 0.0798625 | − | 0.173670i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.45993 | − | 0.457111i | 0.0540346 | − | 0.0169184i | ||||
\(731\) | 5.03097 | − | 2.90463i | 0.186077 | − | 0.107432i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.2431 | − | 3.81642i | 0.526080 | − | 0.140963i | 0.0140023 | − | 0.999902i | \(-0.495543\pi\) |
0.512077 | + | 0.858939i | \(0.328876\pi\) | |||||||
\(734\) | 2.19654 | 0.0810758 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.04031 | 0.259509 | ||||||||
\(737\) | 27.8535 | − | 7.46332i | 1.02600 | − | 0.274915i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 26.2034 | − | 15.1285i | 0.963908 | − | 0.556512i | 0.0665342 | − | 0.997784i | \(-0.478806\pi\) |
0.897374 | + | 0.441272i | \(0.145473\pi\) | |||||||
\(740\) | −45.5460 | − | 23.8255i | −1.67430 | − | 0.875843i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.101145 | − | 0.219952i | 0.00371316 | − | 0.00807470i | ||||
\(743\) | −17.1499 | + | 17.1499i | −0.629167 | + | 0.629167i | −0.947859 | − | 0.318691i | \(-0.896757\pi\) |
0.318691 | + | 0.947859i | \(0.396757\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.79003 | − | 16.9356i | 0.138856 | − | 0.620471i | ||||
\(746\) | 0.492758 | + | 0.853482i | 0.0180411 | + | 0.0312482i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 39.1207 | + | 39.1207i | 1.43039 | + | 1.43039i | ||||
\(749\) | −5.60519 | + | 32.8077i | −0.204809 | + | 1.19877i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −22.6658 | + | 39.2583i | −0.827087 | + | 1.43256i | 0.0732264 | + | 0.997315i | \(0.476670\pi\) |
−0.900314 | + | 0.435242i | \(0.856663\pi\) | |||||||
\(752\) | −27.1594 | − | 7.27735i | −0.990403 | − | 0.265378i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.10025 | + | 3.63775i | −0.0764867 | + | 0.132479i | ||||
\(755\) | 21.6704 | − | 23.5545i | 0.788668 | − | 0.857236i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.6760 | + | 20.6760i | 0.751482 | + | 0.751482i | 0.974756 | − | 0.223273i | \(-0.0716743\pi\) |
−0.223273 | + | 0.974756i | \(0.571674\pi\) | |||||||
\(758\) | −0.148434 | − | 0.553962i | −0.00539135 | − | 0.0201208i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.826509 | + | 0.524226i | −0.0299806 | + | 0.0190157i | ||||
\(761\) | −8.05627 | − | 4.65129i | −0.292039 | − | 0.168609i | 0.346822 | − | 0.937931i | \(-0.387261\pi\) |
−0.638861 | + | 0.769322i | \(0.720594\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.54674 | − | 16.6587i | −0.0559958 | − | 0.603087i | ||||
\(764\) | 45.0171i | 1.62866i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.391011 | + | 0.225750i | −0.0141278 | + | 0.00815669i | ||||
\(767\) | −1.78254 | + | 6.65252i | −0.0643637 | + | 0.240209i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 42.1028 | 1.51827 | 0.759133 | − | 0.650936i | \(-0.225623\pi\) | ||||
0.759133 | + | 0.650936i | \(0.225623\pi\) | |||||||
\(770\) | 1.68784 | + | 2.18458i | 0.0608254 | + | 0.0787267i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.42379 | − | 1.98920i | 0.267188 | − | 0.0715929i | ||||
\(773\) | −0.252193 | + | 0.941195i | −0.00907074 | + | 0.0338524i | −0.970313 | − | 0.241853i | \(-0.922245\pi\) |
0.961242 | + | 0.275706i | \(0.0889115\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.07175 | + | 17.1309i | −0.289946 | + | 0.615360i | ||||
\(776\) | − | 2.34796i | − | 0.0842870i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.30916 | + | 1.30916i | −0.0469356 | + | 0.0469356i | ||||
\(779\) | −5.44569 | − | 3.14407i | −0.195112 | − | 0.112648i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.8702 | − | 30.9521i | −0.639446 | − | 1.10755i | ||||
\(782\) | −1.15613 | − | 4.31472i | −0.0413430 | − | 0.154294i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −26.8670 | + | 5.03251i | −0.959536 | + | 0.179733i | ||||
\(785\) | −1.18164 | − | 28.3640i | −0.0421744 | − | 1.01236i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.15985 | − | 0.846679i | −0.112636 | − | 0.0301809i | 0.202061 | − | 0.979373i | \(-0.435236\pi\) |
−0.314697 | + | 0.949192i | \(0.601903\pi\) | |||||||
\(788\) | −17.9053 | − | 4.79772i | −0.637851 | − | 0.170912i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.0541311 | + | 1.29936i | 0.00192590 | + | 0.0462293i | ||||
\(791\) | 16.6475 | + | 44.9929i | 0.591917 | + | 1.59976i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.58767 | + | 17.1214i | 0.162913 | + | 0.607999i | ||||
\(794\) | 1.37554 | + | 2.38251i | 0.0488162 | + | 0.0845521i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −12.4687 | − | 7.19882i | −0.441942 | − | 0.255155i | ||||
\(797\) | 4.62151 | − | 4.62151i | 0.163702 | − | 0.163702i | −0.620502 | − | 0.784205i | \(-0.713071\pi\) |
0.784205 | + | 0.620502i | \(0.213071\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 54.2437i | 1.91900i | ||||||||
\(800\) | −2.53158 | − | 7.04287i | −0.0895048 | − | 0.249003i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.270571 | − | 1.00978i | 0.00955419 | − | 0.0356567i | ||||
\(803\) | 19.4032 | − | 5.19906i | 0.684723 | − | 0.183471i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.72364 | + | 27.5763i | 0.131241 | + | 0.971936i | ||||
\(806\) | −1.85317 | −0.0652750 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.13725 | + | 4.24427i | −0.0400083 | + | 0.149313i | ||||
\(809\) | −15.4219 | + | 8.90381i | −0.542204 | + | 0.313041i | −0.745972 | − | 0.665978i | \(-0.768015\pi\) |
0.203768 | + | 0.979019i | \(0.434681\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 9.97110i | − | 0.350133i | −0.984557 | − | 0.175066i | \(-0.943986\pi\) | ||
0.984557 | − | 0.175066i | \(-0.0560140\pi\) | |||||||
\(812\) | 44.8730 | − | 4.16640i | 1.57473 | − | 0.146212i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.68200 | + | 2.70315i | 0.164104 | + | 0.0947455i | ||||
\(815\) | −6.71960 | + | 4.26201i | −0.235377 | + | 0.149292i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.173934 | + | 0.649131i | 0.00608518 | + | 0.0227102i | ||||
\(818\) | 2.20852 | + | 2.20852i | 0.0772192 | + | 0.0772192i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 21.6746 | − | 23.5591i | 0.756912 | − | 0.822718i | ||||
\(821\) | −2.44834 | + | 4.24064i | −0.0854475 | + | 0.147999i | −0.905582 | − | 0.424172i | \(-0.860565\pi\) |
0.820134 | + | 0.572171i | \(0.193899\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −51.0981 | − | 13.6917i | −1.78117 | − | 0.477262i | −0.790371 | − | 0.612628i | \(-0.790112\pi\) |
−0.990796 | + | 0.135366i | \(0.956779\pi\) | |||||||
\(824\) | 1.30120 | − | 2.25374i | 0.0453294 | − | 0.0785129i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.555095 | + | 0.205387i | −0.0193142 | + | 0.00714633i | ||||
\(827\) | 27.3882 | + | 27.3882i | 0.952381 | + | 0.952381i | 0.998917 | − | 0.0465353i | \(-0.0148180\pi\) |
−0.0465353 | + | 0.998917i | \(0.514818\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −22.4350 | − | 38.8585i | −0.779199 | − | 1.34961i | −0.932404 | − | 0.361417i | \(-0.882293\pi\) |
0.153205 | − | 0.988194i | \(-0.451040\pi\) | |||||||
\(830\) | 0.264587 | − | 1.18229i | 0.00918396 | − | 0.0410380i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −20.9154 | + | 20.9154i | −0.725112 | + | 0.725112i | ||||
\(833\) | 22.7927 | + | 47.5524i | 0.789721 | + | 1.64759i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −32.3474 | − | 16.9212i | −1.11943 | − | 0.585583i | ||||
\(836\) | −5.54267 | + | 3.20006i | −0.191697 | + | 0.110676i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.626167 | − | 0.167781i | 0.0216306 | − | 0.00579590i | ||||
\(839\) | −29.7013 | −1.02540 | −0.512702 | − | 0.858567i | \(-0.671355\pi\) | ||||
−0.512702 | + | 0.858567i | \(0.671355\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −44.7005 | −1.54140 | ||||||||
\(842\) | −0.800109 | + | 0.214389i | −0.0275736 | + | 0.00738832i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 25.9652 | − | 14.9910i | 0.893758 | − | 0.516011i | ||||
\(845\) | 4.40355 | − | 1.37877i | 0.151487 | − | 0.0474311i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.12980 | + | 5.83173i | 0.141902 | + | 0.200380i | ||||
\(848\) | −2.00413 | + | 2.00413i | −0.0688222 | + | 0.0688222i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.90057 | + | 2.70805i | −0.133788 | + | 0.0928853i | ||||
\(851\) | 27.2471 | + | 47.1933i | 0.934017 | + | 1.61776i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −16.7608 | − | 16.7608i | −0.573879 | − | 0.573879i | 0.359331 | − | 0.933210i | \(-0.383005\pi\) |
−0.933210 | + | 0.359331i | \(0.883005\pi\) | |||||||
\(854\) | −0.972934 | + | 1.17210i | −0.0332931 | + | 0.0401083i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.15920 | + | 5.47190i | −0.107979 | + | 0.187026i | ||||
\(857\) | 10.0064 | + | 2.68121i | 0.341813 | + | 0.0915885i | 0.425642 | − | 0.904892i | \(-0.360048\pi\) |
−0.0838291 | + | 0.996480i | \(0.526715\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.8885 | − | 27.5197i | 0.542109 | − | 0.938960i | −0.456674 | − | 0.889634i | \(-0.650959\pi\) |
0.998783 | − | 0.0493256i | \(-0.0157072\pi\) | |||||||
\(860\) | −3.41832 | + | 0.142406i | −0.116564 | + | 0.00485601i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.225676 | + | 0.225676i | 0.00768654 | + | 0.00768654i | ||||
\(863\) | 2.76308 | + | 10.3119i | 0.0940562 | + | 0.351022i | 0.996875 | − | 0.0789994i | \(-0.0251725\pi\) |
−0.902818 | + | 0.430022i | \(0.858506\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.66568 | − | 2.62616i | −0.0566349 | − | 0.0892921i | ||||
\(866\) | 1.33456 | + | 0.770508i | 0.0453502 | + | 0.0261829i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 11.4903 | + | 16.2256i | 0.390007 | + | 0.550732i | ||||
\(869\) | 17.0763i | 0.579275i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 26.1852 | − | 15.1181i | 0.887253 | − | 0.512256i | ||||
\(872\) | 0.822028 | − | 3.06785i | 0.0278374 | − | 0.103890i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.516745 | 0.0174792 | ||||||||
\(875\) | 26.2474 | − | 13.6410i | 0.887323 | − | 0.461149i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 37.0750 | − | 9.93421i | 1.25193 | − | 0.335454i | 0.428850 | − | 0.903376i | \(-0.358919\pi\) |
0.823083 | + | 0.567921i | \(0.192252\pi\) | |||||||
\(878\) | 0.769024 | − | 2.87004i | 0.0259533 | − | 0.0968591i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.65717 | − | 30.8433i | −0.325543 | − | 1.03973i | ||||
\(881\) | − | 49.3063i | − | 1.66117i | −0.556892 | − | 0.830585i | \(-0.688006\pi\) | ||
0.556892 | − | 0.830585i | \(-0.311994\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.45973 | − | 2.45973i | 0.0827765 | − | 0.0827765i | −0.664506 | − | 0.747283i | \(-0.731358\pi\) |
0.747283 | + | 0.664506i | \(0.231358\pi\) | |||||||
\(884\) | 50.2391 | + | 29.0056i | 1.68972 | + | 0.975563i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.765149 | + | 1.32528i | 0.0257057 | + | 0.0445236i | ||||
\(887\) | −2.92519 | − | 10.9169i | −0.0982182 | − | 0.366555i | 0.899270 | − | 0.437395i | \(-0.144099\pi\) |
−0.997488 | + | 0.0708396i | \(0.977432\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −28.2348 | + | 10.4470i | −0.946965 | + | 0.350380i | ||||
\(890\) | 2.76093 | − | 0.115020i | 0.0925466 | − | 0.00385546i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 32.7253 | + | 8.76873i | 1.09573 | + | 0.293599i | ||||
\(893\) | −6.06122 | − | 1.62410i | −0.202831 | − | 0.0543484i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 15.4714 | + | 14.2339i | 0.517152 | + | 0.475787i | ||||
\(896\) | −10.3129 | − | 1.76196i | −0.344530 | − | 0.0588629i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.698827 | − | 2.60806i | −0.0233202 | − | 0.0870321i | ||||
\(899\) | −16.2575 | − | 28.1588i | −0.542217 | − | 0.939147i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.73527 | + | 2.73391i | 0.157755 | + | 0.0910797i | ||||
\(902\) | −2.38087 | + | 2.38087i | −0.0792743 | + | 0.0792743i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 9.10730i | 0.302904i | ||||||||
\(905\) | 33.0910 | − | 10.3609i | 1.09998 | − | 0.344409i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.612212 | + | 2.28481i | −0.0203282 | + | 0.0758657i | −0.975345 | − | 0.220687i | \(-0.929170\pi\) |
0.955017 | + | 0.296552i | \(0.0958369\pi\) | |||||||
\(908\) | −42.1446 | + | 11.2926i | −1.39862 | + | 0.374758i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.30234 | + | 1.75454i | 0.0763218 | + | 0.0581623i | ||||
\(911\) | −29.0548 | −0.962629 | −0.481315 | − | 0.876548i | \(-0.659841\pi\) | ||||
−0.481315 | + | 0.876548i | \(0.659841\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.11738 | − | 15.3663i | 0.136265 | − | 0.508550i | ||||
\(914\) | 0.933858 | − | 0.539163i | 0.0308893 | − | 0.0178339i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.51133i | 0.0829766i | ||||||||
\(917\) | 35.8543 | − | 25.3906i | 1.18401 | − | 0.838472i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.5899 | + | 6.11407i | 0.349328 | + | 0.201685i | 0.664389 | − | 0.747387i | \(-0.268692\pi\) |
−0.315061 | + | 0.949071i | \(0.602025\pi\) | |||||||
\(920\) | −1.15365 | + | 5.15504i | −0.0380348 | + | 0.169957i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.354008 | − | 1.32118i | −0.0116586 | − | 0.0435106i | ||||
\(923\) | −26.4993 | − | 26.4993i | −0.872234 | − | 0.872234i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 37.4129 | − | 44.2269i | 1.23013 | − | 1.45417i | ||||
\(926\) | −1.06326 | + | 1.84162i | −0.0349409 | + | 0.0605195i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 12.4121 | + | 3.32581i | 0.407447 | + | 0.109175i | ||||
\(929\) | −8.75296 | + | 15.1606i | −0.287175 | + | 0.497402i | −0.973134 | − | 0.230238i | \(-0.926050\pi\) |
0.685959 | + | 0.727640i | \(0.259383\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.99596 | + | 1.12312i | −0.196510 | + | 0.0368086i | ||||
\(932\) | 40.7755 | + | 40.7755i | 1.33565 | + | 1.33565i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.06863 | − | 1.85092i | −0.0349666 | − | 0.0605640i | ||||
\(935\) | −52.6529 | + | 33.3959i | −1.72193 | + | 1.09216i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.41861 | − | 5.41861i | 0.177018 | − | 0.177018i | −0.613036 | − | 0.790055i | \(-0.710052\pi\) |
0.790055 | + | 0.613036i | \(0.210052\pi\) | |||||||
\(938\) | 2.36079 | + | 1.08561i | 0.0770825 | + | 0.0354465i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 14.8076 | − | 28.3070i | 0.482972 | − | 0.923273i | ||||
\(941\) | 21.8564 | − | 12.6188i | 0.712499 | − | 0.411361i | −0.0994867 | − | 0.995039i | \(-0.531720\pi\) |
0.811986 | + | 0.583677i | \(0.198387\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −32.7826 | + | 8.78406i | −1.06755 | + | 0.286048i | ||||
\(944\) | 6.92927 | 0.225529 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.359846 | 0.0116996 | ||||||||
\(947\) | 35.7370 | − | 9.57571i | 1.16130 | − | 0.311169i | 0.373813 | − | 0.927504i | \(-0.378050\pi\) |
0.787484 | + | 0.616335i | \(0.211383\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.2410 | − | 10.5315i | 0.592129 | − | 0.341866i | ||||
\(950\) | −0.185813 | − | 0.516933i | −0.00602856 | − | 0.0167715i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.925498 | + | 9.96781i | 0.0299956 | + | 0.323059i | ||||
\(953\) | −21.4026 | + | 21.4026i | −0.693300 | + | 0.693300i | −0.962956 | − | 0.269657i | \(-0.913090\pi\) |
0.269657 | + | 0.962956i | \(0.413090\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −49.5092 | − | 11.0797i | −1.60208 | − | 0.358531i | ||||
\(956\) | −14.1094 | − | 24.4381i | −0.456329 | − | 0.790386i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.784607 | + | 0.784607i | 0.0253495 | + | 0.0253495i | ||||
\(959\) | −1.08027 | − | 0.896714i | −0.0348839 | − | 0.0289564i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.32758 | + | 14.4238i | −0.268632 | + | 0.465284i | ||||
\(962\) | 5.47563 | + | 1.46719i | 0.176542 | + | 0.0473042i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −27.1739 | + | 47.0666i | −0.875213 | + | 1.51591i | ||||
\(965\) | 0.360530 | + | 8.65417i | 0.0116059 | + | 0.278588i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.5584 | + | 15.5584i | 0.500324 | + | 0.500324i | 0.911538 | − | 0.411215i | \(-0.134895\pi\) |
−0.411215 | + | 0.911538i | \(0.634895\pi\) | |||||||
\(968\) | 0.351106 | + | 1.31035i | 0.0112850 | + | 0.0421161i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.28598 | + | 0.287791i | 0.0412903 | + | 0.00924041i | ||||
\(971\) | 26.4963 | + | 15.2976i | 0.850307 | + | 0.490925i | 0.860754 | − | 0.509021i | \(-0.169992\pi\) |
−0.0104475 | + | 0.999945i | \(0.503326\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.3011 | + | 39.7978i | −0.586705 | + | 1.27586i | ||||
\(974\) | 0.468482i | 0.0150111i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 15.4444 | − | 8.91683i | 0.494364 | − | 0.285421i | ||||
\(977\) | −0.395776 | + | 1.47706i | −0.0126620 | + | 0.0472552i | −0.971968 | − | 0.235114i | \(-0.924454\pi\) |
0.959306 | + | 0.282369i | \(0.0911203\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 36.2844 | 1.15965 | ||||||||
\(980\) | 1.08666 | − | 31.0372i | 0.0347122 | − | 0.991446i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 2.33325 | − | 0.625191i | 0.0744569 | − | 0.0199507i | ||||
\(983\) | 2.36631 | − | 8.83120i | 0.0754737 | − | 0.281672i | −0.917867 | − | 0.396889i | \(-0.870090\pi\) |
0.993340 | + | 0.115217i | \(0.0367565\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9.68337 | − | 18.5112i | 0.308538 | − | 0.589816i | ||||
\(986\) | − | 8.15303i | − | 0.259645i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.74529 | + | 4.74529i | −0.150968 | + | 0.150968i | ||||
\(989\) | 3.14120 | + | 1.81357i | 0.0998844 | + | 0.0576683i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.8195 | + | 20.4719i | 0.375457 | + | 0.650311i | 0.990395 | − | 0.138264i | \(-0.0441523\pi\) |
−0.614938 | + | 0.788575i | \(0.710819\pi\) | |||||||
\(992\) | 1.46727 | + | 5.47593i | 0.0465859 | + | 0.173861i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.542379 | − | 3.17459i | 0.0172032 | − | 0.100692i | ||||
\(995\) | 10.9860 | − | 11.9411i | 0.348280 | − | 0.378559i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 59.2973 | + | 15.8887i | 1.87796 | + | 0.503199i | 0.999686 | + | 0.0250488i | \(0.00797413\pi\) |
0.878278 | + | 0.478150i | \(0.158693\pi\) | |||||||
\(998\) | 0.846141 | + | 0.226723i | 0.0267841 | + | 0.00717678i | ||||
\(999\) | 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 | 945.2.cc.a.82.16 | ✓ | 128 | |
3.2 | odd | 2 | inner | 945.2.cc.a.82.17 | yes | 128 | |
5.3 | odd | 4 | inner | 945.2.cc.a.838.17 | yes | 128 | |
7.3 | odd | 6 | inner | 945.2.cc.a.892.17 | yes | 128 | |
15.8 | even | 4 | inner | 945.2.cc.a.838.16 | yes | 128 | |
21.17 | even | 6 | inner | 945.2.cc.a.892.16 | yes | 128 | |
35.3 | even | 12 | inner | 945.2.cc.a.703.16 | yes | 128 | |
105.38 | odd | 12 | inner | 945.2.cc.a.703.17 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
945.2.cc.a.82.16 | ✓ | 128 | 1.1 | even | 1 | trivial | |
945.2.cc.a.82.17 | yes | 128 | 3.2 | odd | 2 | inner | |
945.2.cc.a.703.16 | yes | 128 | 35.3 | even | 12 | inner | |
945.2.cc.a.703.17 | yes | 128 | 105.38 | odd | 12 | inner | |
945.2.cc.a.838.16 | yes | 128 | 15.8 | even | 4 | inner | |
945.2.cc.a.838.17 | yes | 128 | 5.3 | odd | 4 | inner | |
945.2.cc.a.892.16 | yes | 128 | 21.17 | even | 6 | inner | |
945.2.cc.a.892.17 | yes | 128 | 7.3 | odd | 6 | inner |