Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(62,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.62");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 83.8 | ||
Character | \(\chi\) | \(=\) | 105.83 |
Dual form | 105.3.k.d.62.8 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.67168 | − | 1.67168i | −0.835842 | − | 0.835842i | 0.152466 | − | 0.988309i | \(-0.451278\pi\) |
−0.988309 | + | 0.152466i | \(0.951278\pi\) | |||||||
\(3\) | 2.55943 | + | 1.56503i | 0.853143 | + | 0.521678i | ||||
\(4\) | 1.58906i | 0.397265i | ||||||||
\(5\) | −0.529219 | + | 4.97191i | −0.105844 | + | 0.994383i | ||||
\(6\) | −1.66231 | − | 6.89480i | −0.277052 | − | 1.14913i | ||||
\(7\) | 6.78135 | + | 1.73590i | 0.968764 | + | 0.247985i | ||||
\(8\) | −4.03033 | + | 4.03033i | −0.503791 | + | 0.503791i | ||||
\(9\) | 4.10134 | + | 8.01118i | 0.455705 | + | 0.890131i | ||||
\(10\) | 9.19616 | − | 7.42678i | 0.919616 | − | 0.742678i | ||||
\(11\) | 4.41779i | 0.401617i | 0.979630 | + | 0.200809i | \(0.0643570\pi\) | ||||
−0.979630 | + | 0.200809i | \(0.935643\pi\) | |||||||
\(12\) | −2.48693 | + | 4.06708i | −0.207244 | + | 0.338924i | ||||
\(13\) | 1.62244 | − | 1.62244i | 0.124803 | − | 0.124803i | −0.641946 | − | 0.766750i | \(-0.721873\pi\) |
0.766750 | + | 0.641946i | \(0.221873\pi\) | |||||||
\(14\) | −8.43440 | − | 14.2381i | −0.602457 | − | 1.01701i | ||||
\(15\) | −9.13571 | + | 11.8970i | −0.609047 | + | 0.793134i | ||||
\(16\) | 19.8311 | 1.23945 | ||||||||
\(17\) | 13.9255 | − | 13.9255i | 0.819145 | − | 0.819145i | −0.166839 | − | 0.985984i | \(-0.553356\pi\) |
0.985984 | + | 0.166839i | \(0.0533560\pi\) | |||||||
\(18\) | 6.53602 | − | 20.2483i | 0.363112 | − | 1.12491i | ||||
\(19\) | −0.694013 | −0.0365270 | −0.0182635 | − | 0.999833i | \(-0.505814\pi\) | ||||
−0.0182635 | + | 0.999833i | \(0.505814\pi\) | |||||||
\(20\) | −7.90067 | − | 0.840961i | −0.395034 | − | 0.0420481i | ||||
\(21\) | 14.6396 | + | 15.0559i | 0.697125 | + | 0.716949i | ||||
\(22\) | 7.38515 | − | 7.38515i | 0.335689 | − | 0.335689i | ||||
\(23\) | 23.1818 | − | 23.1818i | 1.00790 | − | 1.00790i | 0.00793606 | − | 0.999969i | \(-0.497474\pi\) |
0.999969 | − | 0.00793606i | \(-0.00252615\pi\) | |||||||
\(24\) | −16.6229 | + | 4.00774i | −0.692623 | + | 0.166989i | ||||
\(25\) | −24.4399 | − | 5.26247i | −0.977594 | − | 0.210499i | ||||
\(26\) | −5.42443 | −0.208632 | ||||||||
\(27\) | −2.04067 | + | 26.9228i | −0.0755805 | + | 0.997140i | ||||
\(28\) | −2.75844 | + | 10.7760i | −0.0985158 | + | 0.384856i | ||||
\(29\) | −49.1234 | −1.69391 | −0.846956 | − | 0.531663i | \(-0.821567\pi\) | ||||
−0.846956 | + | 0.531663i | \(0.821567\pi\) | |||||||
\(30\) | 35.1601 | − | 4.61602i | 1.17200 | − | 0.153867i | ||||
\(31\) | 33.8768i | 1.09280i | 0.837524 | + | 0.546401i | \(0.184002\pi\) | ||||
−0.837524 | + | 0.546401i | \(0.815998\pi\) | |||||||
\(32\) | −17.0301 | − | 17.0301i | −0.532190 | − | 0.532190i | ||||
\(33\) | −6.91399 | + | 11.3070i | −0.209515 | + | 0.342637i | ||||
\(34\) | −46.5580 | −1.36935 | ||||||||
\(35\) | −12.2195 | + | 32.7976i | −0.349130 | + | 0.937074i | ||||
\(36\) | −12.7302 | + | 6.51728i | −0.353618 | + | 0.181036i | ||||
\(37\) | 2.02579 | − | 2.02579i | 0.0547510 | − | 0.0547510i | −0.679201 | − | 0.733952i | \(-0.737674\pi\) |
0.733952 | + | 0.679201i | \(0.237674\pi\) | |||||||
\(38\) | 1.16017 | + | 1.16017i | 0.0305308 | + | 0.0305308i | ||||
\(39\) | 6.69171 | − | 1.61335i | 0.171582 | − | 0.0413679i | ||||
\(40\) | −17.9055 | − | 22.1714i | −0.447638 | − | 0.554285i | ||||
\(41\) | −32.5085 | −0.792891 | −0.396446 | − | 0.918058i | \(-0.629756\pi\) | ||||
−0.396446 | + | 0.918058i | \(0.629756\pi\) | |||||||
\(42\) | 0.695926 | − | 49.6416i | 0.0165697 | − | 1.18194i | ||||
\(43\) | −30.4591 | − | 30.4591i | −0.708351 | − | 0.708351i | 0.257838 | − | 0.966188i | \(-0.416990\pi\) |
−0.966188 | + | 0.257838i | \(0.916990\pi\) | |||||||
\(44\) | −7.02014 | −0.159549 | ||||||||
\(45\) | −42.0014 | + | 16.1518i | −0.933365 | + | 0.358930i | ||||
\(46\) | −77.5053 | −1.68490 | ||||||||
\(47\) | 18.7790 | − | 18.7790i | 0.399554 | − | 0.399554i | −0.478522 | − | 0.878076i | \(-0.658827\pi\) |
0.878076 | + | 0.478522i | \(0.158827\pi\) | |||||||
\(48\) | 50.7563 | + | 31.0364i | 1.05742 | + | 0.646591i | ||||
\(49\) | 42.9733 | + | 23.5434i | 0.877007 | + | 0.480478i | ||||
\(50\) | 32.0585 | + | 49.6529i | 0.641171 | + | 0.993058i | ||||
\(51\) | 57.4350 | − | 13.8474i | 1.12618 | − | 0.271518i | ||||
\(52\) | 2.57816 | + | 2.57816i | 0.0495800 | + | 0.0495800i | ||||
\(53\) | 33.8448 | − | 33.8448i | 0.638581 | − | 0.638581i | −0.311624 | − | 0.950205i | \(-0.600873\pi\) |
0.950205 | + | 0.311624i | \(0.100873\pi\) | |||||||
\(54\) | 48.4178 | − | 41.5950i | 0.896625 | − | 0.770278i | ||||
\(55\) | −21.9649 | − | 2.33798i | −0.399361 | − | 0.0425087i | ||||
\(56\) | −34.3273 | + | 20.3348i | −0.612988 | + | 0.363122i | ||||
\(57\) | −1.77628 | − | 1.08615i | −0.0311627 | − | 0.0190553i | ||||
\(58\) | 82.1189 | + | 82.1189i | 1.41584 | + | 1.41584i | ||||
\(59\) | − | 23.1041i | − | 0.391596i | −0.980644 | − | 0.195798i | \(-0.937270\pi\) | ||
0.980644 | − | 0.195798i | \(-0.0627296\pi\) | |||||||
\(60\) | −18.9051 | − | 14.5172i | −0.315084 | − | 0.241953i | ||||
\(61\) | − | 12.9880i | − | 0.212919i | −0.994317 | − | 0.106459i | \(-0.966049\pi\) | ||
0.994317 | − | 0.106459i | \(-0.0339514\pi\) | |||||||
\(62\) | 56.6314 | − | 56.6314i | 0.913410 | − | 0.913410i | ||||
\(63\) | 13.9060 | + | 61.4461i | 0.220731 | + | 0.975335i | ||||
\(64\) | − | 22.3867i | − | 0.349792i | ||||||
\(65\) | 7.20802 | + | 8.92528i | 0.110893 | + | 0.137312i | ||||
\(66\) | 30.4598 | − | 7.34376i | 0.461512 | − | 0.111269i | ||||
\(67\) | −56.3395 | + | 56.3395i | −0.840888 | + | 0.840888i | −0.988974 | − | 0.148086i | \(-0.952689\pi\) |
0.148086 | + | 0.988974i | \(0.452689\pi\) | |||||||
\(68\) | 22.1284 | + | 22.1284i | 0.325418 | + | 0.325418i | ||||
\(69\) | 95.6125 | − | 23.0519i | 1.38569 | − | 0.334085i | ||||
\(70\) | 75.2545 | − | 34.4000i | 1.07506 | − | 0.491429i | ||||
\(71\) | − | 92.7547i | − | 1.30640i | −0.757184 | − | 0.653202i | \(-0.773425\pi\) | ||
0.757184 | − | 0.653202i | \(-0.226575\pi\) | |||||||
\(72\) | −48.8175 | − | 15.7579i | −0.678020 | − | 0.218860i | ||||
\(73\) | 95.4460 | − | 95.4460i | 1.30748 | − | 1.30748i | 0.384251 | − | 0.923229i | \(-0.374460\pi\) |
0.923229 | − | 0.384251i | \(-0.125540\pi\) | |||||||
\(74\) | −6.77295 | −0.0915263 | ||||||||
\(75\) | −54.3161 | − | 51.7181i | −0.724215 | − | 0.689574i | ||||
\(76\) | − | 1.10283i | − | 0.0145109i | ||||||
\(77\) | −7.66883 | + | 29.9586i | −0.0995952 | + | 0.389072i | ||||
\(78\) | −13.8834 | − | 8.48941i | −0.177993 | − | 0.108839i | ||||
\(79\) | − | 100.280i | − | 1.26937i | −0.772770 | − | 0.634687i | \(-0.781129\pi\) | ||
0.772770 | − | 0.634687i | \(-0.218871\pi\) | |||||||
\(80\) | −10.4950 | + | 98.5987i | −0.131188 | + | 1.23248i | ||||
\(81\) | −47.3580 | + | 65.7132i | −0.584667 | + | 0.811274i | ||||
\(82\) | 54.3440 | + | 54.3440i | 0.662732 | + | 0.662732i | ||||
\(83\) | −5.62594 | − | 5.62594i | −0.0677824 | − | 0.0677824i | 0.672403 | − | 0.740185i | \(-0.265262\pi\) |
−0.740185 | + | 0.672403i | \(0.765262\pi\) | |||||||
\(84\) | −23.9248 | + | 23.2633i | −0.284819 | + | 0.276944i | ||||
\(85\) | 61.8666 | + | 76.6059i | 0.727842 | + | 0.901245i | ||||
\(86\) | 101.836i | 1.18414i | ||||||||
\(87\) | −125.728 | − | 76.8798i | −1.44515 | − | 0.883676i | ||||
\(88\) | −17.8052 | − | 17.8052i | −0.202331 | − | 0.202331i | ||||
\(89\) | 158.669i | 1.78280i | 0.453220 | + | 0.891399i | \(0.350275\pi\) | ||||
−0.453220 | + | 0.891399i | \(0.649725\pi\) | |||||||
\(90\) | 97.2139 | + | 43.2123i | 1.08015 | + | 0.480137i | ||||
\(91\) | 13.8188 | − | 8.18596i | 0.151854 | − | 0.0899556i | ||||
\(92\) | 36.8373 | + | 36.8373i | 0.400405 | + | 0.400405i | ||||
\(93\) | −53.0184 | + | 86.7053i | −0.570090 | + | 0.932315i | ||||
\(94\) | −62.7852 | −0.667928 | ||||||||
\(95\) | 0.367285 | − | 3.45057i | 0.00386616 | − | 0.0363218i | ||||
\(96\) | −16.9346 | − | 70.2399i | −0.176402 | − | 0.731665i | ||||
\(97\) | −37.1038 | − | 37.1038i | −0.382514 | − | 0.382514i | 0.489493 | − | 0.872007i | \(-0.337182\pi\) |
−0.872007 | + | 0.489493i | \(0.837182\pi\) | |||||||
\(98\) | −32.4807 | − | 111.195i | −0.331435 | − | 1.13464i | ||||
\(99\) | −35.3917 | + | 18.1189i | −0.357492 | + | 0.183019i | ||||
\(100\) | 8.36238 | − | 38.8364i | 0.0836238 | − | 0.388364i | ||||
\(101\) | 17.6626 | 0.174877 | 0.0874384 | − | 0.996170i | \(-0.472132\pi\) | ||||
0.0874384 | + | 0.996170i | \(0.472132\pi\) | |||||||
\(102\) | −119.162 | − | 72.8648i | −1.16825 | − | 0.714361i | ||||
\(103\) | −96.5666 | + | 96.5666i | −0.937540 | + | 0.937540i | −0.998161 | − | 0.0606213i | \(-0.980692\pi\) |
0.0606213 | + | 0.998161i | \(0.480692\pi\) | |||||||
\(104\) | 13.0780i | 0.125750i | ||||||||
\(105\) | −82.6044 | + | 64.8191i | −0.786708 | + | 0.617325i | ||||
\(106\) | −113.156 | −1.06751 | ||||||||
\(107\) | −7.22790 | − | 7.22790i | −0.0675504 | − | 0.0675504i | 0.672524 | − | 0.740075i | \(-0.265210\pi\) |
−0.740075 | + | 0.672524i | \(0.765210\pi\) | |||||||
\(108\) | −42.7819 | − | 3.24275i | −0.396129 | − | 0.0300255i | ||||
\(109\) | − | 125.106i | − | 1.14776i | −0.818940 | − | 0.573880i | \(-0.805438\pi\) | ||
0.818940 | − | 0.573880i | \(-0.194562\pi\) | |||||||
\(110\) | 32.8100 | + | 40.6267i | 0.298273 | + | 0.369334i | ||||
\(111\) | 8.35527 | − | 2.01443i | 0.0752727 | − | 0.0181480i | ||||
\(112\) | 134.482 | + | 34.4248i | 1.20073 | + | 0.307364i | ||||
\(113\) | 71.6887 | − | 71.6887i | 0.634414 | − | 0.634414i | −0.314758 | − | 0.949172i | \(-0.601923\pi\) |
0.949172 | + | 0.314758i | \(0.101923\pi\) | |||||||
\(114\) | 1.15367 | + | 4.78508i | 0.0101199 | + | 0.0419744i | ||||
\(115\) | 102.990 | + | 127.526i | 0.895562 | + | 1.10892i | ||||
\(116\) | − | 78.0601i | − | 0.672932i | ||||||
\(117\) | 19.6519 | + | 6.34349i | 0.167965 | + | 0.0542179i | ||||
\(118\) | −38.6228 | + | 38.6228i | −0.327312 | + | 0.327312i | ||||
\(119\) | 118.607 | − | 70.2603i | 0.996694 | − | 0.590422i | ||||
\(120\) | −11.1290 | − | 84.7688i | −0.0927413 | − | 0.706407i | ||||
\(121\) | 101.483 | 0.838703 | ||||||||
\(122\) | −21.7119 | + | 21.7119i | −0.177966 | + | 0.177966i | ||||
\(123\) | −83.2032 | − | 50.8769i | −0.676449 | − | 0.413634i | ||||
\(124\) | −53.8323 | −0.434132 | ||||||||
\(125\) | 39.0986 | − | 118.728i | 0.312789 | − | 0.949823i | ||||
\(126\) | 79.4720 | − | 125.965i | 0.630730 | − | 0.999722i | ||||
\(127\) | 4.25412 | − | 4.25412i | 0.0334970 | − | 0.0334970i | −0.690160 | − | 0.723657i | \(-0.742460\pi\) |
0.723657 | + | 0.690160i | \(0.242460\pi\) | |||||||
\(128\) | −105.544 | + | 105.544i | −0.824561 | + | 0.824561i | ||||
\(129\) | −30.2883 | − | 125.627i | −0.234793 | − | 0.973855i | ||||
\(130\) | 2.87071 | − | 26.9698i | 0.0220824 | − | 0.207460i | ||||
\(131\) | 115.412 | 0.881007 | 0.440504 | − | 0.897751i | \(-0.354800\pi\) | ||||
0.440504 | + | 0.897751i | \(0.354800\pi\) | |||||||
\(132\) | −17.9675 | − | 10.9867i | −0.136118 | − | 0.0832329i | ||||
\(133\) | −4.70634 | − | 1.20473i | −0.0353860 | − | 0.00905815i | ||||
\(134\) | 188.364 | 1.40570 | ||||||||
\(135\) | −132.778 | − | 24.3941i | −0.983539 | − | 0.180697i | ||||
\(136\) | 112.249i | 0.825357i | ||||||||
\(137\) | 134.388 | + | 134.388i | 0.980935 | + | 0.980935i | 0.999822 | − | 0.0188868i | \(-0.00601221\pi\) |
−0.0188868 | + | 0.999822i | \(0.506012\pi\) | |||||||
\(138\) | −198.369 | − | 121.298i | −1.43746 | − | 0.878974i | ||||
\(139\) | −228.384 | −1.64305 | −0.821524 | − | 0.570174i | \(-0.806876\pi\) | ||||
−0.821524 | + | 0.570174i | \(0.806876\pi\) | |||||||
\(140\) | −52.1174 | − | 19.4176i | −0.372267 | − | 0.138697i | ||||
\(141\) | 77.4534 | − | 18.6738i | 0.549315 | − | 0.132438i | ||||
\(142\) | −155.057 | + | 155.057i | −1.09195 | + | 1.09195i | ||||
\(143\) | 7.16762 | + | 7.16762i | 0.0501232 | + | 0.0501232i | ||||
\(144\) | 81.3342 | + | 158.871i | 0.564821 | + | 1.10327i | ||||
\(145\) | 25.9971 | − | 244.237i | 0.179290 | − | 1.68440i | ||||
\(146\) | −319.111 | −2.18569 | ||||||||
\(147\) | 73.1409 | + | 127.512i | 0.497557 | + | 0.867431i | ||||
\(148\) | 3.21909 | + | 3.21909i | 0.0217506 | + | 0.0217506i | ||||
\(149\) | −67.7175 | −0.454480 | −0.227240 | − | 0.973839i | \(-0.572970\pi\) | ||||
−0.227240 | + | 0.973839i | \(0.572970\pi\) | |||||||
\(150\) | 4.34307 | + | 177.256i | 0.0289538 | + | 1.18171i | ||||
\(151\) | 108.833 | 0.720749 | 0.360375 | − | 0.932808i | \(-0.382649\pi\) | ||||
0.360375 | + | 0.932808i | \(0.382649\pi\) | |||||||
\(152\) | 2.79710 | − | 2.79710i | 0.0184020 | − | 0.0184020i | ||||
\(153\) | 168.673 | + | 54.4463i | 1.10243 | + | 0.355858i | ||||
\(154\) | 62.9012 | − | 37.2614i | 0.408449 | − | 0.241957i | ||||
\(155\) | −168.433 | − | 17.9283i | −1.08666 | − | 0.115666i | ||||
\(156\) | 2.56371 | + | 10.6335i | 0.0164340 | + | 0.0681636i | ||||
\(157\) | −12.8504 | − | 12.8504i | −0.0818495 | − | 0.0818495i | 0.664997 | − | 0.746846i | \(-0.268433\pi\) |
−0.746846 | + | 0.664997i | \(0.768433\pi\) | |||||||
\(158\) | −167.637 | + | 167.637i | −1.06100 | + | 1.06100i | ||||
\(159\) | 139.592 | − | 33.6551i | 0.877935 | − | 0.211667i | ||||
\(160\) | 93.6847 | − | 75.6594i | 0.585529 | − | 0.472871i | ||||
\(161\) | 197.445 | − | 116.963i | 1.22637 | − | 0.726476i | ||||
\(162\) | 189.019 | − | 30.6841i | 1.16679 | − | 0.189408i | ||||
\(163\) | −140.352 | − | 140.352i | −0.861054 | − | 0.861054i | 0.130407 | − | 0.991461i | \(-0.458372\pi\) |
−0.991461 | + | 0.130407i | \(0.958372\pi\) | |||||||
\(164\) | − | 51.6580i | − | 0.314988i | ||||||
\(165\) | −52.5585 | − | 40.3597i | −0.318536 | − | 0.244604i | ||||
\(166\) | 18.8096i | 0.113311i | ||||||||
\(167\) | −70.3795 | + | 70.3795i | −0.421434 | + | 0.421434i | −0.885697 | − | 0.464263i | \(-0.846319\pi\) |
0.464263 | + | 0.885697i | \(0.346319\pi\) | |||||||
\(168\) | −119.683 | − | 1.67784i | −0.712399 | − | 0.00998712i | ||||
\(169\) | 163.735i | 0.968848i | ||||||||
\(170\) | 24.6394 | − | 231.482i | 0.144938 | − | 1.36166i | ||||
\(171\) | −2.84638 | − | 5.55986i | −0.0166455 | − | 0.0325138i | ||||
\(172\) | 48.4013 | − | 48.4013i | 0.281403 | − | 0.281403i | ||||
\(173\) | 74.9815 | + | 74.9815i | 0.433419 | + | 0.433419i | 0.889790 | − | 0.456371i | \(-0.150851\pi\) |
−0.456371 | + | 0.889790i | \(0.650851\pi\) | |||||||
\(174\) | 81.6586 | + | 338.696i | 0.469302 | + | 1.94653i | ||||
\(175\) | −156.600 | − | 78.1117i | −0.894857 | − | 0.446352i | ||||
\(176\) | 87.6098i | 0.497783i | ||||||||
\(177\) | 36.1587 | − | 59.1334i | 0.204287 | − | 0.334087i | ||||
\(178\) | 265.245 | − | 265.245i | 1.49014 | − | 1.49014i | ||||
\(179\) | −110.262 | −0.615991 | −0.307996 | − | 0.951388i | \(-0.599658\pi\) | ||||
−0.307996 | + | 0.951388i | \(0.599658\pi\) | |||||||
\(180\) | −25.6663 | − | 66.7428i | −0.142590 | − | 0.370793i | ||||
\(181\) | 58.1797i | 0.321435i | 0.987000 | + | 0.160717i | \(0.0513808\pi\) | ||||
−0.987000 | + | 0.160717i | \(0.948619\pi\) | |||||||
\(182\) | −36.7849 | − | 9.41625i | −0.202115 | − | 0.0517376i | ||||
\(183\) | 20.3267 | − | 33.2420i | 0.111075 | − | 0.181650i | ||||
\(184\) | 186.861i | 1.01555i | ||||||||
\(185\) | 8.99995 | + | 11.1441i | 0.0486484 | + | 0.0602385i | ||||
\(186\) | 233.574 | − | 56.3140i | 1.25577 | − | 0.302763i | ||||
\(187\) | 61.5198 | + | 61.5198i | 0.328983 | + | 0.328983i | ||||
\(188\) | 29.8410 | + | 29.8410i | 0.158729 | + | 0.158729i | ||||
\(189\) | −60.5737 | + | 179.030i | −0.320496 | + | 0.947250i | ||||
\(190\) | −6.38225 | + | 5.15428i | −0.0335908 | + | 0.0271278i | ||||
\(191\) | 12.6214i | 0.0660807i | 0.999454 | + | 0.0330403i | \(0.0105190\pi\) | ||||
−0.999454 | + | 0.0330403i | \(0.989481\pi\) | |||||||
\(192\) | 35.0359 | − | 57.2971i | 0.182479 | − | 0.298423i | ||||
\(193\) | 211.567 | + | 211.567i | 1.09620 | + | 1.09620i | 0.994851 | + | 0.101353i | \(0.0323171\pi\) |
0.101353 | + | 0.994851i | \(0.467683\pi\) | |||||||
\(194\) | 124.052i | 0.639442i | ||||||||
\(195\) | 4.48005 | + | 34.1244i | 0.0229746 | + | 0.174997i | ||||
\(196\) | −37.4119 | + | 68.2872i | −0.190877 | + | 0.348404i | ||||
\(197\) | −102.520 | − | 102.520i | −0.520407 | − | 0.520407i | 0.397288 | − | 0.917694i | \(-0.369952\pi\) |
−0.917694 | + | 0.397288i | \(0.869952\pi\) | |||||||
\(198\) | 89.4528 | + | 28.8748i | 0.451782 | + | 0.145832i | ||||
\(199\) | −235.953 | −1.18570 | −0.592848 | − | 0.805314i | \(-0.701996\pi\) | ||||
−0.592848 | + | 0.805314i | \(0.701996\pi\) | |||||||
\(200\) | 119.710 | − | 77.2912i | 0.598551 | − | 0.386456i | ||||
\(201\) | −232.370 | + | 56.0237i | −1.15607 | + | 0.278725i | ||||
\(202\) | −29.5262 | − | 29.5262i | −0.146169 | − | 0.146169i | ||||
\(203\) | −333.123 | − | 85.2732i | −1.64100 | − | 0.420065i | ||||
\(204\) | 22.0044 | + | 91.2677i | 0.107865 | + | 0.447391i | ||||
\(205\) | 17.2041 | − | 161.630i | 0.0839227 | − | 0.788437i | ||||
\(206\) | 322.858 | 1.56727 | ||||||||
\(207\) | 280.790 | + | 90.6371i | 1.35647 | + | 0.437860i | ||||
\(208\) | 32.1749 | − | 32.1749i | 0.154687 | − | 0.154687i | ||||
\(209\) | − | 3.06600i | − | 0.0146699i | ||||||
\(210\) | 246.446 | + | 29.7314i | 1.17355 | + | 0.141578i | ||||
\(211\) | −89.6482 | −0.424873 | −0.212437 | − | 0.977175i | \(-0.568140\pi\) | ||||
−0.212437 | + | 0.977175i | \(0.568140\pi\) | |||||||
\(212\) | 53.7814 | + | 53.7814i | 0.253686 | + | 0.253686i | ||||
\(213\) | 145.164 | − | 237.399i | 0.681522 | − | 1.11455i | ||||
\(214\) | 24.1655i | 0.112923i | ||||||||
\(215\) | 167.559 | − | 135.320i | 0.779346 | − | 0.629397i | ||||
\(216\) | −100.283 | − | 116.732i | −0.464274 | − | 0.540427i | ||||
\(217\) | −58.8067 | + | 229.731i | −0.270999 | + | 1.05867i | ||||
\(218\) | −209.137 | + | 209.137i | −0.959346 | + | 0.959346i | ||||
\(219\) | 393.663 | − | 94.9110i | 1.79755 | − | 0.433384i | ||||
\(220\) | 3.71519 | − | 34.9035i | 0.0168872 | − | 0.158652i | ||||
\(221\) | − | 45.1866i | − | 0.204464i | ||||||
\(222\) | −17.3349 | − | 10.5999i | −0.0780850 | − | 0.0477473i | ||||
\(223\) | 85.1659 | − | 85.1659i | 0.381910 | − | 0.381910i | −0.489880 | − | 0.871790i | \(-0.662959\pi\) |
0.871790 | + | 0.489880i | \(0.162959\pi\) | |||||||
\(224\) | −85.9244 | − | 145.049i | −0.383591 | − | 0.647541i | ||||
\(225\) | −58.0776 | − | 217.375i | −0.258123 | − | 0.966112i | ||||
\(226\) | −239.682 | −1.06054 | ||||||||
\(227\) | −129.989 | + | 129.989i | −0.572639 | + | 0.572639i | −0.932865 | − | 0.360226i | \(-0.882700\pi\) |
0.360226 | + | 0.932865i | \(0.382700\pi\) | |||||||
\(228\) | 1.72596 | − | 2.82261i | 0.00757001 | − | 0.0123799i | ||||
\(229\) | 109.923 | 0.480011 | 0.240006 | − | 0.970771i | \(-0.422851\pi\) | ||||
0.240006 | + | 0.970771i | \(0.422851\pi\) | |||||||
\(230\) | 41.0173 | − | 385.350i | 0.178336 | − | 1.67543i | ||||
\(231\) | −66.5140 | + | 64.6748i | −0.287939 | + | 0.279978i | ||||
\(232\) | 197.984 | − | 197.984i | 0.853378 | − | 0.853378i | ||||
\(233\) | 218.319 | − | 218.319i | 0.936990 | − | 0.936990i | −0.0611395 | − | 0.998129i | \(-0.519473\pi\) |
0.998129 | + | 0.0611395i | \(0.0194735\pi\) | |||||||
\(234\) | −22.2474 | − | 43.4561i | −0.0950745 | − | 0.185710i | ||||
\(235\) | 83.4295 | + | 103.306i | 0.355019 | + | 0.439600i | ||||
\(236\) | 36.7139 | 0.155567 | ||||||||
\(237\) | 156.942 | − | 256.661i | 0.662204 | − | 1.08296i | ||||
\(238\) | −315.726 | − | 80.8198i | −1.32658 | − | 0.339579i | ||||
\(239\) | −20.1742 | −0.0844109 | −0.0422054 | − | 0.999109i | \(-0.513438\pi\) | ||||
−0.0422054 | + | 0.999109i | \(0.513438\pi\) | |||||||
\(240\) | −181.171 | + | 235.931i | −0.754881 | + | 0.983046i | ||||
\(241\) | 257.604i | 1.06890i | 0.845201 | + | 0.534449i | \(0.179481\pi\) | ||||
−0.845201 | + | 0.534449i | \(0.820519\pi\) | |||||||
\(242\) | −169.648 | − | 169.648i | −0.701024 | − | 0.701024i | ||||
\(243\) | −224.053 | + | 94.0713i | −0.922027 | + | 0.387125i | ||||
\(244\) | 20.6388 | 0.0845852 | ||||||||
\(245\) | −139.798 | + | 201.200i | −0.570605 | + | 0.821225i | ||||
\(246\) | 54.0394 | + | 224.140i | 0.219672 | + | 0.911137i | ||||
\(247\) | −1.12600 | + | 1.12600i | −0.00455869 | + | 0.00455869i | ||||
\(248\) | −136.535 | − | 136.535i | −0.550544 | − | 0.550544i | ||||
\(249\) | −5.59441 | − | 23.2040i | −0.0224675 | − | 0.0931887i | ||||
\(250\) | −263.836 | + | 133.115i | −1.05534 | + | 0.532460i | ||||
\(251\) | −191.569 | −0.763223 | −0.381612 | − | 0.924323i | \(-0.624631\pi\) | ||||
−0.381612 | + | 0.924323i | \(0.624631\pi\) | |||||||
\(252\) | −97.6415 | + | 22.0975i | −0.387466 | + | 0.0876887i | ||||
\(253\) | 102.412 | + | 102.412i | 0.404792 | + | 0.404792i | ||||
\(254\) | −14.2231 | −0.0559964 | ||||||||
\(255\) | 38.4524 | + | 292.890i | 0.150794 | + | 1.14859i | ||||
\(256\) | 263.325 | 1.02861 | ||||||||
\(257\) | −205.696 | + | 205.696i | −0.800374 | + | 0.800374i | −0.983154 | − | 0.182779i | \(-0.941491\pi\) |
0.182779 | + | 0.983154i | \(0.441491\pi\) | |||||||
\(258\) | −159.377 | + | 260.642i | −0.617739 | + | 1.01024i | ||||
\(259\) | 17.2541 | − | 10.2210i | 0.0666182 | − | 0.0394633i | ||||
\(260\) | −14.1828 | + | 11.4540i | −0.0545493 | + | 0.0440538i | ||||
\(261\) | −201.472 | − | 393.537i | −0.771923 | − | 1.50780i | ||||
\(262\) | −192.932 | − | 192.932i | −0.736383 | − | 0.736383i | ||||
\(263\) | 4.82449 | − | 4.82449i | 0.0183441 | − | 0.0183441i | −0.697875 | − | 0.716219i | \(-0.745871\pi\) |
0.716219 | + | 0.697875i | \(0.245871\pi\) | |||||||
\(264\) | −17.7054 | − | 73.4367i | −0.0670657 | − | 0.278169i | ||||
\(265\) | 150.362 | + | 186.185i | 0.567404 | + | 0.702584i | ||||
\(266\) | 5.85358 | + | 9.88145i | 0.0220059 | + | 0.0371483i | ||||
\(267\) | −248.322 | + | 406.102i | −0.930046 | + | 1.52098i | ||||
\(268\) | −89.5269 | − | 89.5269i | −0.334056 | − | 0.334056i | ||||
\(269\) | − | 106.984i | − | 0.397708i | −0.980029 | − | 0.198854i | \(-0.936278\pi\) | ||
0.980029 | − | 0.198854i | \(-0.0637220\pi\) | |||||||
\(270\) | 181.183 | + | 262.742i | 0.671049 | + | 0.973118i | ||||
\(271\) | − | 187.036i | − | 0.690171i | −0.938571 | − | 0.345085i | \(-0.887850\pi\) | ||
0.938571 | − | 0.345085i | \(-0.112150\pi\) | |||||||
\(272\) | 276.158 | − | 276.158i | 1.01529 | − | 1.01529i | ||||
\(273\) | 48.1794 | + | 0.675427i | 0.176481 | + | 0.00247409i | ||||
\(274\) | − | 449.309i | − | 1.63981i | ||||||
\(275\) | 23.2485 | − | 107.970i | 0.0845399 | − | 0.392619i | ||||
\(276\) | 36.6308 | + | 151.934i | 0.132720 | + | 0.550485i | ||||
\(277\) | 95.7717 | − | 95.7717i | 0.345746 | − | 0.345746i | −0.512776 | − | 0.858522i | \(-0.671383\pi\) |
0.858522 | + | 0.512776i | \(0.171383\pi\) | |||||||
\(278\) | 381.786 | + | 381.786i | 1.37333 | + | 1.37333i | ||||
\(279\) | −271.393 | + | 138.941i | −0.972736 | + | 0.497995i | ||||
\(280\) | −82.9364 | − | 181.434i | −0.296201 | − | 0.647979i | ||||
\(281\) | 140.834i | 0.501189i | 0.968092 | + | 0.250594i | \(0.0806261\pi\) | ||||
−0.968092 | + | 0.250594i | \(0.919374\pi\) | |||||||
\(282\) | −160.694 | − | 98.2610i | −0.569838 | − | 0.348443i | ||||
\(283\) | −204.752 | + | 204.752i | −0.723504 | + | 0.723504i | −0.969317 | − | 0.245813i | \(-0.920945\pi\) |
0.245813 | + | 0.969317i | \(0.420945\pi\) | |||||||
\(284\) | 147.393 | 0.518989 | ||||||||
\(285\) | 6.34030 | − | 8.25667i | 0.0222467 | − | 0.0289708i | ||||
\(286\) | − | 23.9640i | − | 0.0837902i | ||||||
\(287\) | −220.452 | − | 56.4314i | −0.768124 | − | 0.196625i | ||||
\(288\) | 66.5848 | − | 206.277i | 0.231197 | − | 0.716240i | ||||
\(289\) | − | 98.8373i | − | 0.341998i | ||||||
\(290\) | −451.747 | + | 364.829i | −1.55775 | + | 1.25803i | ||||
\(291\) | −36.8958 | − | 153.033i | −0.126790 | − | 0.525888i | ||||
\(292\) | 151.669 | + | 151.669i | 0.519416 | + | 0.519416i | ||||
\(293\) | 158.208 | + | 158.208i | 0.539959 | + | 0.539959i | 0.923517 | − | 0.383558i | \(-0.125301\pi\) |
−0.383558 | + | 0.923517i | \(0.625301\pi\) | |||||||
\(294\) | 90.8920 | − | 335.429i | 0.309157 | − | 1.14092i | ||||
\(295\) | 114.872 | + | 12.2272i | 0.389396 | + | 0.0414480i | ||||
\(296\) | 16.3292i | 0.0551661i | ||||||||
\(297\) | −118.939 | − | 9.01527i | −0.400469 | − | 0.0303544i | ||||
\(298\) | 113.202 | + | 113.202i | 0.379873 | + | 0.379873i | ||||
\(299\) | − | 75.2224i | − | 0.251580i | ||||||
\(300\) | 82.1832 | − | 86.3116i | 0.273944 | − | 0.287705i | ||||
\(301\) | −153.680 | − | 259.427i | −0.510564 | − | 0.861885i | ||||
\(302\) | −181.935 | − | 181.935i | −0.602433 | − | 0.602433i | ||||
\(303\) | 45.2060 | + | 27.6425i | 0.149195 | + | 0.0912293i | ||||
\(304\) | −13.7631 | −0.0452732 | ||||||||
\(305\) | 64.5754 | + | 6.87352i | 0.211723 | + | 0.0225361i | ||||
\(306\) | −190.950 | − | 372.984i | −0.624020 | − | 1.21890i | ||||
\(307\) | 390.484 | + | 390.484i | 1.27194 | + | 1.27194i | 0.945071 | + | 0.326865i | \(0.105992\pi\) |
0.326865 | + | 0.945071i | \(0.394008\pi\) | |||||||
\(308\) | −47.6060 | − | 12.1862i | −0.154565 | − | 0.0395657i | ||||
\(309\) | −398.285 | + | 96.0253i | −1.28895 | + | 0.310761i | ||||
\(310\) | 251.596 | + | 311.537i | 0.811600 | + | 1.00496i | ||||
\(311\) | 314.164 | 1.01017 | 0.505087 | − | 0.863068i | \(-0.331460\pi\) | ||||
0.505087 | + | 0.863068i | \(0.331460\pi\) | |||||||
\(312\) | −20.4675 | + | 33.4721i | −0.0656009 | + | 0.107282i | ||||
\(313\) | −138.521 | + | 138.521i | −0.442558 | + | 0.442558i | −0.892871 | − | 0.450313i | \(-0.851312\pi\) |
0.450313 | + | 0.892871i | \(0.351312\pi\) | |||||||
\(314\) | 42.9635i | 0.136827i | ||||||||
\(315\) | −312.864 | + | 36.6212i | −0.993219 | + | 0.116258i | ||||
\(316\) | 159.352 | 0.504278 | ||||||||
\(317\) | 171.788 | + | 171.788i | 0.541917 | + | 0.541917i | 0.924090 | − | 0.382174i | \(-0.124824\pi\) |
−0.382174 | + | 0.924090i | \(0.624824\pi\) | |||||||
\(318\) | −289.614 | − | 177.092i | −0.910736 | − | 0.556895i | ||||
\(319\) | − | 217.017i | − | 0.680304i | ||||||
\(320\) | 111.305 | + | 11.8475i | 0.347827 | + | 0.0370234i | ||||
\(321\) | −7.18738 | − | 29.8112i | −0.0223906 | − | 0.0928697i | ||||
\(322\) | −525.591 | − | 134.541i | −1.63227 | − | 0.417830i | ||||
\(323\) | −9.66445 | + | 9.66445i | −0.0299209 | + | 0.0299209i | ||||
\(324\) | −104.422 | − | 75.2547i | −0.322291 | − | 0.232268i | ||||
\(325\) | −48.1904 | + | 31.1142i | −0.148278 | + | 0.0957361i | ||||
\(326\) | 469.248i | 1.43941i | ||||||||
\(327\) | 195.795 | − | 320.199i | 0.598761 | − | 0.979203i | ||||
\(328\) | 131.020 | − | 131.020i | 0.399452 | − | 0.399452i | ||||
\(329\) | 159.946 | − | 94.7486i | 0.486157 | − | 0.287990i | ||||
\(330\) | 20.3926 | + | 155.330i | 0.0617958 | + | 0.470697i | ||||
\(331\) | −97.1798 | −0.293595 | −0.146797 | − | 0.989167i | \(-0.546897\pi\) | ||||
−0.146797 | + | 0.989167i | \(0.546897\pi\) | |||||||
\(332\) | 8.93996 | − | 8.93996i | 0.0269276 | − | 0.0269276i | ||||
\(333\) | 24.5374 | + | 7.92049i | 0.0736858 | + | 0.0237853i | ||||
\(334\) | 235.305 | 0.704505 | ||||||||
\(335\) | −250.299 | − | 309.931i | −0.747162 | − | 0.925168i | ||||
\(336\) | 290.320 | + | 298.576i | 0.864049 | + | 0.888620i | ||||
\(337\) | −142.405 | + | 142.405i | −0.422566 | + | 0.422566i | −0.886086 | − | 0.463520i | \(-0.846586\pi\) |
0.463520 | + | 0.886086i | \(0.346586\pi\) | |||||||
\(338\) | 273.714 | − | 273.714i | 0.809804 | − | 0.809804i | ||||
\(339\) | 295.677 | − | 71.2869i | 0.872205 | − | 0.210286i | ||||
\(340\) | −121.731 | + | 98.3097i | −0.358033 | + | 0.289146i | ||||
\(341\) | −149.661 | −0.438888 | ||||||||
\(342\) | −4.53608 | + | 14.0526i | −0.0132634 | + | 0.0410894i | ||||
\(343\) | 250.548 | + | 234.253i | 0.730461 | + | 0.682955i | ||||
\(344\) | 245.520 | 0.713722 | ||||||||
\(345\) | 64.0119 | + | 487.576i | 0.185542 | + | 1.41326i | ||||
\(346\) | − | 250.691i | − | 0.724540i | ||||||
\(347\) | 42.5261 | + | 42.5261i | 0.122554 | + | 0.122554i | 0.765723 | − | 0.643170i | \(-0.222381\pi\) |
−0.643170 | + | 0.765723i | \(0.722381\pi\) | |||||||
\(348\) | 122.167 | − | 199.789i | 0.351054 | − | 0.574107i | ||||
\(349\) | 323.576 | 0.927152 | 0.463576 | − | 0.886057i | \(-0.346566\pi\) | ||||
0.463576 | + | 0.886057i | \(0.346566\pi\) | |||||||
\(350\) | 131.208 | + | 392.364i | 0.374879 | + | 1.12104i | ||||
\(351\) | 40.3698 | + | 46.9916i | 0.115014 | + | 0.133879i | ||||
\(352\) | 75.2353 | − | 75.2353i | 0.213737 | − | 0.213737i | ||||
\(353\) | 121.979 | + | 121.979i | 0.345550 | + | 0.345550i | 0.858449 | − | 0.512899i | \(-0.171428\pi\) |
−0.512899 | + | 0.858449i | \(0.671428\pi\) | |||||||
\(354\) | −159.298 | + | 38.4063i | −0.449995 | + | 0.108492i | ||||
\(355\) | 461.168 | + | 49.0876i | 1.29907 | + | 0.138275i | ||||
\(356\) | −252.135 | −0.708243 | ||||||||
\(357\) | 413.525 | + | 5.79721i | 1.15833 | + | 0.0162387i | ||||
\(358\) | 184.324 | + | 184.324i | 0.514872 | + | 0.514872i | ||||
\(359\) | −456.029 | −1.27028 | −0.635138 | − | 0.772399i | \(-0.719057\pi\) | ||||
−0.635138 | + | 0.772399i | \(0.719057\pi\) | |||||||
\(360\) | 104.182 | − | 234.377i | 0.289395 | − | 0.651047i | ||||
\(361\) | −360.518 | −0.998666 | ||||||||
\(362\) | 97.2581 | − | 97.2581i | 0.268669 | − | 0.268669i | ||||
\(363\) | 259.739 | + | 158.824i | 0.715534 | + | 0.437533i | ||||
\(364\) | 13.0080 | + | 21.9588i | 0.0357362 | + | 0.0603264i | ||||
\(365\) | 424.037 | + | 525.061i | 1.16175 | + | 1.43852i | ||||
\(366\) | −89.5499 | + | 21.5902i | −0.244672 | + | 0.0589896i | ||||
\(367\) | −52.7521 | − | 52.7521i | −0.143739 | − | 0.143739i | 0.631576 | − | 0.775314i | \(-0.282409\pi\) |
−0.775314 | + | 0.631576i | \(0.782409\pi\) | |||||||
\(368\) | 459.721 | − | 459.721i | 1.24924 | − | 1.24924i | ||||
\(369\) | −133.329 | − | 260.432i | −0.361324 | − | 0.705777i | ||||
\(370\) | 3.58438 | − | 33.6745i | 0.00968750 | − | 0.0910122i | ||||
\(371\) | 288.264 | − | 170.762i | 0.776993 | − | 0.460276i | ||||
\(372\) | −137.780 | − | 84.2494i | −0.370376 | − | 0.226477i | ||||
\(373\) | −269.362 | − | 269.362i | −0.722150 | − | 0.722150i | 0.246893 | − | 0.969043i | \(-0.420591\pi\) |
−0.969043 | + | 0.246893i | \(0.920591\pi\) | |||||||
\(374\) | − | 205.683i | − | 0.549956i | ||||||
\(375\) | 285.883 | − | 242.685i | 0.762355 | − | 0.647159i | ||||
\(376\) | 151.371i | 0.402583i | ||||||||
\(377\) | −79.7000 | + | 79.7000i | −0.211406 | + | 0.211406i | ||||
\(378\) | 400.542 | − | 198.022i | 1.05964 | − | 0.523868i | ||||
\(379\) | 253.497i | 0.668856i | 0.942421 | + | 0.334428i | \(0.108543\pi\) | ||||
−0.942421 | + | 0.334428i | \(0.891457\pi\) | |||||||
\(380\) | 5.48317 | + | 0.583638i | 0.0144294 | + | 0.00153589i | ||||
\(381\) | 17.5459 | − | 4.23027i | 0.0460523 | − | 0.0111031i | ||||
\(382\) | 21.0990 | − | 21.0990i | 0.0552330 | − | 0.0552330i | ||||
\(383\) | −162.755 | − | 162.755i | −0.424948 | − | 0.424948i | 0.461955 | − | 0.886903i | \(-0.347148\pi\) |
−0.886903 | + | 0.461955i | \(0.847148\pi\) | |||||||
\(384\) | −435.311 | + | 104.952i | −1.13362 | + | 0.273313i | ||||
\(385\) | −144.893 | − | 53.9834i | −0.376345 | − | 0.140217i | ||||
\(386\) | − | 707.348i | − | 1.83251i | ||||||
\(387\) | 119.090 | − | 368.936i | 0.307726 | − | 0.953324i | ||||
\(388\) | 58.9602 | − | 58.9602i | 0.151959 | − | 0.151959i | ||||
\(389\) | −309.463 | −0.795534 | −0.397767 | − | 0.917486i | \(-0.630215\pi\) | ||||
−0.397767 | + | 0.917486i | \(0.630215\pi\) | |||||||
\(390\) | 49.5560 | − | 64.5345i | 0.127067 | − | 0.165473i | ||||
\(391\) | − | 645.635i | − | 1.65124i | ||||||
\(392\) | −268.085 | + | 78.3089i | −0.683889 | + | 0.199768i | ||||
\(393\) | 295.389 | + | 180.624i | 0.751625 | + | 0.459602i | ||||
\(394\) | 342.763i | 0.869956i | ||||||||
\(395\) | 498.586 | + | 53.0704i | 1.26224 | + | 0.134355i | ||||
\(396\) | −28.7920 | − | 56.2396i | −0.0727070 | − | 0.142019i | ||||
\(397\) | −463.385 | − | 463.385i | −1.16722 | − | 1.16722i | −0.982859 | − | 0.184357i | \(-0.940980\pi\) |
−0.184357 | − | 0.982859i | \(-0.559020\pi\) | |||||||
\(398\) | 394.440 | + | 394.440i | 0.991055 | + | 0.991055i | ||||
\(399\) | −10.1601 | − | 10.4490i | −0.0254639 | − | 0.0261880i | ||||
\(400\) | −484.670 | − | 104.361i | −1.21167 | − | 0.260902i | ||||
\(401\) | 516.485i | 1.28799i | 0.765028 | + | 0.643997i | \(0.222725\pi\) | ||||
−0.765028 | + | 0.643997i | \(0.777275\pi\) | |||||||
\(402\) | 482.104 | + | 294.796i | 1.19926 | + | 0.733323i | ||||
\(403\) | 54.9633 | + | 54.9633i | 0.136385 | + | 0.136385i | ||||
\(404\) | 28.0669i | 0.0694724i | ||||||||
\(405\) | −301.657 | − | 270.237i | −0.744833 | − | 0.667251i | ||||
\(406\) | 414.327 | + | 699.427i | 1.02051 | + | 1.72273i | ||||
\(407\) | 8.94950 | + | 8.94950i | 0.0219889 | + | 0.0219889i | ||||
\(408\) | −175.673 | + | 287.292i | −0.430570 | + | 0.704147i | ||||
\(409\) | 119.076 | 0.291139 | 0.145570 | − | 0.989348i | \(-0.453499\pi\) | ||||
0.145570 | + | 0.989348i | \(0.453499\pi\) | |||||||
\(410\) | −298.954 | + | 241.434i | −0.729155 | + | 0.588863i | ||||
\(411\) | 133.635 | + | 554.278i | 0.325145 | + | 1.34861i | ||||
\(412\) | −153.450 | − | 153.450i | −0.372452 | − | 0.372452i | ||||
\(413\) | 40.1064 | − | 156.677i | 0.0971099 | − | 0.379364i | ||||
\(414\) | −317.876 | − | 620.909i | −0.767816 | − | 1.49978i | ||||
\(415\) | 30.9491 | − | 24.9943i | 0.0745760 | − | 0.0602273i | ||||
\(416\) | −55.2607 | −0.132838 | ||||||||
\(417\) | −584.532 | − | 357.428i | −1.40175 | − | 0.857142i | ||||
\(418\) | −5.12539 | + | 5.12539i | −0.0122617 | + | 0.0122617i | ||||
\(419\) | 732.322i | 1.74778i | 0.486120 | + | 0.873892i | \(0.338412\pi\) | ||||
−0.486120 | + | 0.873892i | \(0.661588\pi\) | |||||||
\(420\) | −103.001 | − | 131.263i | −0.245242 | − | 0.312532i | ||||
\(421\) | 307.320 | 0.729976 | 0.364988 | − | 0.931012i | \(-0.381073\pi\) | ||||
0.364988 | + | 0.931012i | \(0.381073\pi\) | |||||||
\(422\) | 149.864 | + | 149.864i | 0.355127 | + | 0.355127i | ||||
\(423\) | 227.461 | + | 73.4229i | 0.537734 | + | 0.173577i | ||||
\(424\) | 272.812i | 0.643424i | ||||||||
\(425\) | −413.619 | + | 267.054i | −0.973220 | + | 0.628363i | ||||
\(426\) | −639.525 | + | 154.187i | −1.50123 | + | 0.361942i | ||||
\(427\) | 22.5459 | − | 88.0764i | 0.0528007 | − | 0.206268i | ||||
\(428\) | 11.4856 | − | 11.4856i | 0.0268354 | − | 0.0268354i | ||||
\(429\) | 7.12744 | + | 29.5626i | 0.0166141 | + | 0.0689104i | ||||
\(430\) | −506.320 | − | 53.8936i | −1.17749 | − | 0.125334i | ||||
\(431\) | 205.822i | 0.477546i | 0.971075 | + | 0.238773i | \(0.0767452\pi\) | ||||
−0.971075 | + | 0.238773i | \(0.923255\pi\) | |||||||
\(432\) | −40.4689 | + | 533.909i | −0.0936779 | + | 1.23590i | ||||
\(433\) | −291.861 | + | 291.861i | −0.674043 | + | 0.674043i | −0.958646 | − | 0.284603i | \(-0.908138\pi\) |
0.284603 | + | 0.958646i | \(0.408138\pi\) | |||||||
\(434\) | 482.343 | − | 285.731i | 1.11139 | − | 0.658366i | ||||
\(435\) | 448.777 | − | 584.422i | 1.03167 | − | 1.34350i | ||||
\(436\) | 198.801 | 0.455965 | ||||||||
\(437\) | −16.0885 | + | 16.0885i | −0.0368157 | + | 0.0368157i | ||||
\(438\) | −816.742 | − | 499.420i | −1.86471 | − | 1.14023i | ||||
\(439\) | −116.671 | −0.265765 | −0.132882 | − | 0.991132i | \(-0.542423\pi\) | ||||
−0.132882 | + | 0.991132i | \(0.542423\pi\) | |||||||
\(440\) | 97.9486 | − | 79.1029i | 0.222610 | − | 0.179779i | ||||
\(441\) | −12.3623 | + | 440.827i | −0.0280325 | + | 0.999607i | ||||
\(442\) | −75.5377 | + | 75.5377i | −0.170900 | + | 0.170900i | ||||
\(443\) | −282.021 | + | 282.021i | −0.636617 | + | 0.636617i | −0.949719 | − | 0.313102i | \(-0.898632\pi\) |
0.313102 | + | 0.949719i | \(0.398632\pi\) | |||||||
\(444\) | 3.20105 | + | 13.2770i | 0.00720957 | + | 0.0299032i | ||||
\(445\) | −788.888 | − | 83.9707i | −1.77278 | − | 0.188698i | ||||
\(446\) | −284.741 | −0.638433 | ||||||||
\(447\) | −173.318 | − | 105.980i | −0.387736 | − | 0.237092i | ||||
\(448\) | 38.8610 | − | 151.812i | 0.0867433 | − | 0.338866i | ||||
\(449\) | 407.834 | 0.908317 | 0.454158 | − | 0.890921i | \(-0.349940\pi\) | ||||
0.454158 | + | 0.890921i | \(0.349940\pi\) | |||||||
\(450\) | −266.295 | + | 460.470i | −0.591767 | + | 1.02327i | ||||
\(451\) | − | 143.616i | − | 0.318439i | ||||||
\(452\) | 113.918 | + | 113.918i | 0.252030 | + | 0.252030i | ||||
\(453\) | 278.550 | + | 170.327i | 0.614902 | + | 0.375999i | ||||
\(454\) | 434.602 | 0.957272 | ||||||||
\(455\) | 33.3867 | + | 73.0378i | 0.0733775 | + | 0.160523i | ||||
\(456\) | 11.5365 | − | 2.78142i | 0.0252994 | − | 0.00609961i | ||||
\(457\) | 461.473 | − | 461.473i | 1.00979 | − | 1.00979i | 0.00983627 | − | 0.999952i | \(-0.496869\pi\) |
0.999952 | − | 0.00983627i | \(-0.00313103\pi\) | |||||||
\(458\) | −183.756 | − | 183.756i | −0.401214 | − | 0.401214i | ||||
\(459\) | 346.495 | + | 403.330i | 0.754891 | + | 0.878714i | ||||
\(460\) | −202.647 | + | 163.657i | −0.440537 | + | 0.355776i | ||||
\(461\) | −788.797 | −1.71106 | −0.855528 | − | 0.517757i | \(-0.826767\pi\) | ||||
−0.855528 | + | 0.517757i | \(0.826767\pi\) | |||||||
\(462\) | 219.306 | + | 3.07446i | 0.474689 | + | 0.00665467i | ||||
\(463\) | −548.664 | − | 548.664i | −1.18502 | − | 1.18502i | −0.978427 | − | 0.206592i | \(-0.933763\pi\) |
−0.206592 | − | 0.978427i | \(-0.566237\pi\) | |||||||
\(464\) | −974.173 | −2.09951 | ||||||||
\(465\) | −403.033 | − | 309.489i | −0.866738 | − | 0.665568i | ||||
\(466\) | −729.920 | −1.56635 | ||||||||
\(467\) | 299.104 | − | 299.104i | 0.640480 | − | 0.640480i | −0.310194 | − | 0.950673i | \(-0.600394\pi\) |
0.950673 | + | 0.310194i | \(0.100394\pi\) | |||||||
\(468\) | −10.0802 | + | 31.2280i | −0.0215389 | + | 0.0667266i | ||||
\(469\) | −479.857 | + | 284.258i | −1.02315 | + | 0.606094i | ||||
\(470\) | 33.2272 | − | 312.163i | 0.0706961 | − | 0.664176i | ||||
\(471\) | −12.7783 | − | 53.0009i | −0.0271302 | − | 0.112528i | ||||
\(472\) | 93.1173 | + | 93.1173i | 0.197283 | + | 0.197283i | ||||
\(473\) | 134.562 | − | 134.562i | 0.284486 | − | 0.284486i | ||||
\(474\) | −691.414 | + | 166.698i | −1.45868 | + | 0.351683i | ||||
\(475\) | 16.9616 | + | 3.65222i | 0.0357086 | + | 0.00768888i | ||||
\(476\) | 111.648 | + | 188.473i | 0.234554 | + | 0.395952i | ||||
\(477\) | 409.946 | + | 132.328i | 0.859426 | + | 0.277417i | ||||
\(478\) | 33.7249 | + | 33.7249i | 0.0705542 | + | 0.0705542i | ||||
\(479\) | − | 568.767i | − | 1.18740i | −0.804685 | − | 0.593702i | \(-0.797666\pi\) | ||
0.804685 | − | 0.593702i | \(-0.202334\pi\) | |||||||
\(480\) | 358.189 | − | 47.0251i | 0.746226 | − | 0.0979690i | ||||
\(481\) | − | 6.57345i | − | 0.0136662i | ||||||
\(482\) | 430.633 | − | 430.633i | 0.893430 | − | 0.893430i | ||||
\(483\) | 688.397 | + | 9.65064i | 1.42525 | + | 0.0199806i | ||||
\(484\) | 161.263i | 0.333188i | ||||||||
\(485\) | 204.113 | − | 164.841i | 0.420852 | − | 0.339878i | ||||
\(486\) | 531.803 | + | 217.288i | 1.09424 | + | 0.447094i | ||||
\(487\) | 382.818 | − | 382.818i | 0.786073 | − | 0.786073i | −0.194775 | − | 0.980848i | \(-0.562398\pi\) |
0.980848 | + | 0.194775i | \(0.0623976\pi\) | |||||||
\(488\) | 52.3461 | + | 52.3461i | 0.107267 | + | 0.107267i | ||||
\(489\) | −139.565 | − | 578.875i | −0.285409 | − | 1.18379i | ||||
\(490\) | 570.042 | − | 102.644i | 1.16335 | − | 0.209479i | ||||
\(491\) | 1.38553i | 0.00282185i | 0.999999 | + | 0.00141093i | \(0.000449112\pi\) | ||||
−0.999999 | + | 0.00141093i | \(0.999551\pi\) | |||||||
\(492\) | 80.8465 | − | 132.215i | 0.164322 | − | 0.268730i | ||||
\(493\) | −684.067 | + | 684.067i | −1.38756 | + | 1.38756i | ||||
\(494\) | 3.76462 | 0.00762070 | ||||||||
\(495\) | −71.3555 | − | 185.553i | −0.144152 | − | 0.374855i | ||||
\(496\) | 671.816i | 1.35447i | ||||||||
\(497\) | 161.012 | − | 629.002i | 0.323969 | − | 1.26560i | ||||
\(498\) | −29.4377 | + | 48.1418i | −0.0591118 | + | 0.0966703i | ||||
\(499\) | 356.741i | 0.714913i | 0.933930 | + | 0.357456i | \(0.116356\pi\) | ||||
−0.933930 | + | 0.357456i | \(0.883644\pi\) | |||||||
\(500\) | 188.666 | + | 62.1300i | 0.377331 | + | 0.124260i | ||||
\(501\) | −290.277 | + | 69.9849i | −0.579396 | + | 0.139691i | ||||
\(502\) | 320.243 | + | 320.243i | 0.637934 | + | 0.637934i | ||||
\(503\) | −279.707 | − | 279.707i | −0.556078 | − | 0.556078i | 0.372111 | − | 0.928188i | \(-0.378634\pi\) |
−0.928188 | + | 0.372111i | \(0.878634\pi\) | |||||||
\(504\) | −303.694 | − | 191.602i | −0.602568 | − | 0.380163i | ||||
\(505\) | −9.34737 | + | 87.8167i | −0.0185096 | + | 0.173894i | ||||
\(506\) | − | 342.402i | − | 0.676685i | ||||||
\(507\) | −256.251 | + | 419.069i | −0.505427 | + | 0.826566i | ||||
\(508\) | 6.76005 | + | 6.76005i | 0.0133072 | + | 0.0133072i | ||||
\(509\) | 493.836i | 0.970208i | 0.874457 | + | 0.485104i | \(0.161218\pi\) | ||||
−0.874457 | + | 0.485104i | \(0.838782\pi\) | |||||||
\(510\) | 425.340 | − | 553.901i | 0.834000 | − | 1.08608i | ||||
\(511\) | 812.937 | − | 481.568i | 1.59087 | − | 0.942403i | ||||
\(512\) | −18.0214 | − | 18.0214i | −0.0351981 | − | 0.0351981i | ||||
\(513\) | 1.41625 | − | 18.6847i | 0.00276073 | − | 0.0364225i | ||||
\(514\) | 687.719 | 1.33797 | ||||||||
\(515\) | −429.016 | − | 531.226i | −0.833040 | − | 1.03151i | ||||
\(516\) | 199.629 | − | 48.1300i | 0.386879 | − | 0.0932752i | ||||
\(517\) | 82.9618 | + | 82.9618i | 0.160468 | + | 0.160468i | ||||
\(518\) | −45.9297 | − | 11.7571i | −0.0886674 | − | 0.0226972i | ||||
\(519\) | 74.5612 | + | 309.258i | 0.143663 | + | 0.595873i | ||||
\(520\) | −65.0226 | − | 6.92112i | −0.125043 | − | 0.0133098i | ||||
\(521\) | 16.2593 | 0.0312079 | 0.0156039 | − | 0.999878i | \(-0.495033\pi\) | ||||
0.0156039 | + | 0.999878i | \(0.495033\pi\) | |||||||
\(522\) | −321.072 | + | 994.667i | −0.615080 | + | 1.90549i | ||||
\(523\) | 629.367 | − | 629.367i | 1.20338 | − | 1.20338i | 0.230246 | − | 0.973132i | \(-0.426047\pi\) |
0.973132 | − | 0.230246i | \(-0.0739530\pi\) | |||||||
\(524\) | 183.397i | 0.349993i | ||||||||
\(525\) | −278.559 | − | 445.005i | −0.530589 | − | 0.847629i | ||||
\(526\) | −16.1301 | −0.0306655 | ||||||||
\(527\) | 471.751 | + | 471.751i | 0.895163 | + | 0.895163i | ||||
\(528\) | −137.112 | + | 224.231i | −0.259682 | + | 0.424680i | ||||
\(529\) | − | 545.792i | − | 1.03174i | ||||||
\(530\) | 59.8842 | − | 562.600i | 0.112989 | − | 1.06151i | ||||
\(531\) | 185.091 | − | 94.7580i | 0.348571 | − | 0.178452i | ||||
\(532\) | 1.91439 | − | 7.47866i | 0.00359849 | − | 0.0140576i | ||||
\(533\) | −52.7433 | + | 52.7433i | −0.0989555 | + | 0.0989555i | ||||
\(534\) | 1093.99 | − | 263.758i | 2.04867 | − | 0.493928i | ||||
\(535\) | 39.7616 | − | 32.1113i | 0.0743208 | − | 0.0600212i | ||||
\(536\) | − | 454.134i | − | 0.847265i | ||||||
\(537\) | −282.209 | − | 172.564i | −0.525528 | − | 0.321349i | ||||
\(538\) | −178.843 | + | 178.843i | −0.332421 | + | 0.332421i | ||||
\(539\) | −104.010 | + | 189.847i | −0.192968 | + | 0.352221i | ||||
\(540\) | 38.7637 | − | 210.992i | 0.0717846 | − | 0.390726i | ||||
\(541\) | 577.099 | 1.06673 | 0.533364 | − | 0.845886i | \(-0.320928\pi\) | ||||
0.533364 | + | 0.845886i | \(0.320928\pi\) | |||||||
\(542\) | −312.666 | + | 312.666i | −0.576874 | + | 0.576874i | ||||
\(543\) | −91.0532 | + | 148.907i | −0.167685 | + | 0.274230i | ||||
\(544\) | −474.303 | −0.871881 | ||||||||
\(545\) | 622.015 | + | 66.2084i | 1.14131 | + | 0.121483i | ||||
\(546\) | −79.4117 | − | 81.6699i | −0.145443 | − | 0.149579i | ||||
\(547\) | −289.511 | + | 289.511i | −0.529270 | + | 0.529270i | −0.920355 | − | 0.391084i | \(-0.872100\pi\) |
0.391084 | + | 0.920355i | \(0.372100\pi\) | |||||||
\(548\) | −213.551 | + | 213.551i | −0.389691 | + | 0.389691i | ||||
\(549\) | 104.050 | − | 53.2684i | 0.189526 | − | 0.0970280i | ||||
\(550\) | −219.356 | + | 141.628i | −0.398829 | + | 0.257505i | ||||
\(551\) | 34.0923 | 0.0618735 | ||||||||
\(552\) | −292.443 | + | 478.257i | −0.529788 | + | 0.866407i | ||||
\(553\) | 174.077 | − | 680.037i | 0.314786 | − | 1.22972i | ||||
\(554\) | −320.200 | −0.577979 | ||||||||
\(555\) | 5.59380 | + | 42.6078i | 0.0100789 | + | 0.0767708i | ||||
\(556\) | − | 362.915i | − | 0.652726i | ||||||
\(557\) | −12.4652 | − | 12.4652i | −0.0223792 | − | 0.0223792i | 0.695829 | − | 0.718208i | \(-0.255037\pi\) |
−0.718208 | + | 0.695829i | \(0.755037\pi\) | |||||||
\(558\) | 685.949 | + | 221.420i | 1.22930 | + | 0.396809i | ||||
\(559\) | −98.8363 | −0.176809 | ||||||||
\(560\) | −242.327 | + | 650.413i | −0.432728 | + | 1.16145i | ||||
\(561\) | 61.1750 | + | 253.736i | 0.109046 | + | 0.452292i | ||||
\(562\) | 235.430 | − | 235.430i | 0.418915 | − | 0.418915i | ||||
\(563\) | −689.690 | − | 689.690i | −1.22503 | − | 1.22503i | −0.965823 | − | 0.259204i | \(-0.916540\pi\) |
−0.259204 | − | 0.965823i | \(-0.583460\pi\) | |||||||
\(564\) | 29.6737 | + | 123.078i | 0.0526130 | + | 0.218223i | ||||
\(565\) | 318.491 | + | 394.369i | 0.563701 | + | 0.697999i | ||||
\(566\) | 684.560 | 1.20947 | ||||||||
\(567\) | −435.222 | + | 363.415i | −0.767588 | + | 0.640944i | ||||
\(568\) | 373.832 | + | 373.832i | 0.658155 | + | 0.658155i | ||||
\(569\) | −44.3368 | −0.0779205 | −0.0389602 | − | 0.999241i | \(-0.512405\pi\) | ||||
−0.0389602 | + | 0.999241i | \(0.512405\pi\) | |||||||
\(570\) | −24.4015 | + | 3.20358i | −0.0428097 | + | 0.00562031i | ||||
\(571\) | 89.1696 | 0.156164 | 0.0780819 | − | 0.996947i | \(-0.475120\pi\) | ||||
0.0780819 | + | 0.996947i | \(0.475120\pi\) | |||||||
\(572\) | −11.3898 | + | 11.3898i | −0.0199122 | + | 0.0199122i | ||||
\(573\) | −19.7529 | + | 32.3036i | −0.0344728 | + | 0.0563762i | ||||
\(574\) | 274.190 | + | 462.861i | 0.477683 | + | 0.806378i | ||||
\(575\) | −688.553 | + | 444.566i | −1.19748 | + | 0.773159i | ||||
\(576\) | 179.344 | − | 91.8155i | 0.311361 | − | 0.159402i | ||||
\(577\) | 146.556 | + | 146.556i | 0.253997 | + | 0.253997i | 0.822607 | − | 0.568610i | \(-0.192519\pi\) |
−0.568610 | + | 0.822607i | \(0.692519\pi\) | |||||||
\(578\) | −165.225 | + | 165.225i | −0.285856 | + | 0.285856i | ||||
\(579\) | 210.381 | + | 872.601i | 0.363353 | + | 1.50708i | ||||
\(580\) | 388.108 | + | 41.3109i | 0.669152 | + | 0.0712257i | ||||
\(581\) | −28.3854 | − | 47.9175i | −0.0488561 | − | 0.0824742i | ||||
\(582\) | −194.145 | + | 317.502i | −0.333583 | + | 0.545535i | ||||
\(583\) | 149.519 | + | 149.519i | 0.256465 | + | 0.256465i | ||||
\(584\) | 769.358i | 1.31739i | ||||||||
\(585\) | −41.9395 | + | 94.3504i | −0.0716914 | + | 0.161283i | ||||
\(586\) | − | 528.948i | − | 0.902642i | ||||||
\(587\) | −85.7254 | + | 85.7254i | −0.146040 | + | 0.146040i | −0.776346 | − | 0.630307i | \(-0.782929\pi\) |
0.630307 | + | 0.776346i | \(0.282929\pi\) | |||||||
\(588\) | −202.625 | + | 116.225i | −0.344600 | + | 0.197662i | ||||
\(589\) | − | 23.5110i | − | 0.0399167i | ||||||
\(590\) | −171.589 | − | 212.469i | −0.290830 | − | 0.360118i | ||||
\(591\) | −101.945 | − | 422.840i | −0.172496 | − | 0.715465i | ||||
\(592\) | 40.1736 | − | 40.1736i | 0.0678608 | − | 0.0678608i | ||||
\(593\) | −607.214 | − | 607.214i | −1.02397 | − | 1.02397i | −0.999706 | − | 0.0242632i | \(-0.992276\pi\) |
−0.0242632 | − | 0.999706i | \(-0.507724\pi\) | |||||||
\(594\) | 183.758 | + | 213.900i | 0.309357 | + | 0.360100i | ||||
\(595\) | 286.559 | + | 626.885i | 0.481612 | + | 1.05359i | ||||
\(596\) | − | 107.607i | − | 0.180549i | ||||||
\(597\) | −603.906 | − | 369.275i | −1.01157 | − | 0.618551i | ||||
\(598\) | −125.748 | + | 125.748i | −0.210281 | + | 0.210281i | ||||
\(599\) | 214.278 | 0.357726 | 0.178863 | − | 0.983874i | \(-0.442758\pi\) | ||||
0.178863 | + | 0.983874i | \(0.442758\pi\) | |||||||
\(600\) | 427.353 | − | 10.4709i | 0.712255 | − | 0.0174515i | ||||
\(601\) | − | 674.896i | − | 1.12296i | −0.827492 | − | 0.561478i | \(-0.810233\pi\) | ||
0.827492 | − | 0.561478i | \(-0.189767\pi\) | |||||||
\(602\) | −176.777 | + | 690.585i | −0.293649 | + | 1.14715i | ||||
\(603\) | −682.414 | − | 220.278i | −1.13170 | − | 0.365304i | ||||
\(604\) | 172.942i | 0.286328i | ||||||||
\(605\) | −53.7068 | + | 504.565i | −0.0887716 | + | 0.833992i | ||||
\(606\) | −29.3607 | − | 121.780i | −0.0484500 | − | 0.200957i | ||||
\(607\) | −428.929 | − | 428.929i | −0.706638 | − | 0.706638i | 0.259189 | − | 0.965827i | \(-0.416545\pi\) |
−0.965827 | + | 0.259189i | \(0.916545\pi\) | |||||||
\(608\) | 11.8191 | + | 11.8191i | 0.0194393 | + | 0.0194393i | ||||
\(609\) | −719.149 | − | 739.599i | −1.18087 | − | 1.21445i | ||||
\(610\) | −96.4594 | − | 119.440i | −0.158130 | − | 0.195803i | ||||
\(611\) | − | 60.9358i | − | 0.0997313i | ||||||
\(612\) | −86.5185 | + | 268.031i | −0.141370 | + | 0.437959i | ||||
\(613\) | −134.802 | − | 134.802i | −0.219905 | − | 0.219905i | 0.588553 | − | 0.808458i | \(-0.299698\pi\) |
−0.808458 | + | 0.588553i | \(0.799698\pi\) | |||||||
\(614\) | − | 1305.53i | − | 2.12628i | ||||||
\(615\) | 296.989 | − | 386.754i | 0.482908 | − | 0.628869i | ||||
\(616\) | −89.8351 | − | 151.651i | −0.145836 | − | 0.246187i | ||||
\(617\) | −525.987 | − | 525.987i | −0.852491 | − | 0.852491i | 0.137948 | − | 0.990439i | \(-0.455949\pi\) |
−0.990439 | + | 0.137948i | \(0.955949\pi\) | |||||||
\(618\) | 826.331 | + | 505.283i | 1.33711 | + | 0.817610i | ||||
\(619\) | 957.834 | 1.54739 | 0.773695 | − | 0.633558i | \(-0.218406\pi\) | ||||
0.773695 | + | 0.633558i | \(0.218406\pi\) | |||||||
\(620\) | 28.4891 | − | 267.650i | 0.0459502 | − | 0.431693i | ||||
\(621\) | 576.812 | + | 671.425i | 0.928844 | + | 1.08120i | ||||
\(622\) | −525.184 | − | 525.184i | −0.844347 | − | 0.844347i | ||||
\(623\) | −275.433 | + | 1075.99i | −0.442107 | + | 1.72711i | ||||
\(624\) | 132.704 | − | 31.9945i | 0.212667 | − | 0.0512733i | ||||
\(625\) | 569.613 | + | 257.228i | 0.911381 | + | 0.411564i | ||||
\(626\) | 463.126 | 0.739817 | ||||||||
\(627\) | 4.79840 | − | 7.84721i | 0.00765295 | − | 0.0125155i | ||||
\(628\) | 20.4200 | − | 20.4200i | 0.0325159 | − | 0.0325159i | ||||
\(629\) | − | 56.4200i | − | 0.0896980i | ||||||
\(630\) | 584.229 | + | 461.791i | 0.927348 | + | 0.733001i | ||||
\(631\) | −482.882 | −0.765265 | −0.382633 | − | 0.923901i | \(-0.624983\pi\) | ||||
−0.382633 | + | 0.923901i | \(0.624983\pi\) | |||||||
\(632\) | 404.164 | + | 404.164i | 0.639499 | + | 0.639499i | ||||
\(633\) | −229.448 | − | 140.302i | −0.362477 | − | 0.221647i | ||||
\(634\) | − | 574.349i | − | 0.905914i | ||||||
\(635\) | 18.8997 | + | 23.4025i | 0.0297634 | + | 0.0368543i | ||||
\(636\) | 53.4800 | + | 221.819i | 0.0840880 | + | 0.348773i | ||||
\(637\) | 107.920 | − | 31.5239i | 0.169419 | − | 0.0494881i | ||||
\(638\) | −362.784 | + | 362.784i | −0.568627 | + | 0.568627i | ||||
\(639\) | 743.074 | − | 380.419i | 1.16287 | − | 0.595334i | ||||
\(640\) | −468.899 | − | 580.610i | −0.732654 | − | 0.907204i | ||||
\(641\) | − | 618.098i | − | 0.964272i | −0.876096 | − | 0.482136i | \(-0.839861\pi\) | ||
0.876096 | − | 0.482136i | \(-0.160139\pi\) | |||||||
\(642\) | −37.8199 | + | 61.8499i | −0.0589094 | + | 0.0963395i | ||||
\(643\) | −235.650 | + | 235.650i | −0.366485 | + | 0.366485i | −0.866193 | − | 0.499709i | \(-0.833440\pi\) |
0.499709 | + | 0.866193i | \(0.333440\pi\) | |||||||
\(644\) | 185.861 | + | 313.752i | 0.288604 | + | 0.487193i | ||||
\(645\) | 640.637 | − | 84.1067i | 0.993236 | − | 0.130398i | ||||
\(646\) | 32.3118 | 0.0500183 | ||||||||
\(647\) | 129.060 | − | 129.060i | 0.199474 | − | 0.199474i | −0.600300 | − | 0.799775i | \(-0.704952\pi\) |
0.799775 | + | 0.600300i | \(0.204952\pi\) | |||||||
\(648\) | −73.9775 | − | 455.714i | −0.114163 | − | 0.703263i | ||||
\(649\) | 102.069 | 0.157272 | ||||||||
\(650\) | 132.572 | + | 28.5459i | 0.203957 | + | 0.0439167i | ||||
\(651\) | −510.048 | + | 495.945i | −0.783483 | + | 0.761820i | ||||
\(652\) | 223.027 | − | 223.027i | 0.342066 | − | 0.342066i | ||||
\(653\) | 607.844 | − | 607.844i | 0.930849 | − | 0.930849i | −0.0669099 | − | 0.997759i | \(-0.521314\pi\) |
0.997759 | + | 0.0669099i | \(0.0213140\pi\) | |||||||
\(654\) | −862.579 | + | 207.965i | −1.31893 | + | 0.317990i | ||||
\(655\) | −61.0782 | + | 573.818i | −0.0932492 | + | 0.876059i | ||||
\(656\) | −644.681 | −0.982745 | ||||||||
\(657\) | 1156.09 | + | 373.178i | 1.75965 | + | 0.568004i | ||||
\(658\) | −425.768 | − | 108.989i | −0.647064 | − | 0.165636i | ||||
\(659\) | 795.993 | 1.20788 | 0.603940 | − | 0.797030i | \(-0.293597\pi\) | ||||
0.603940 | + | 0.797030i | \(0.293597\pi\) | |||||||
\(660\) | 64.1339 | − | 83.5186i | 0.0971726 | − | 0.126543i | ||||
\(661\) | − | 353.138i | − | 0.534248i | −0.963662 | − | 0.267124i | \(-0.913927\pi\) | ||
0.963662 | − | 0.267124i | \(-0.0860734\pi\) | |||||||
\(662\) | 162.454 | + | 162.454i | 0.245399 | + | 0.245399i | ||||
\(663\) | 70.7185 | − | 115.652i | 0.106664 | − | 0.174437i | ||||
\(664\) | 45.3488 | 0.0682964 | ||||||||
\(665\) | 8.48052 | − | 22.7620i | 0.0127527 | − | 0.0342285i | ||||
\(666\) | −27.7782 | − | 54.2593i | −0.0417090 | − | 0.0814704i | ||||
\(667\) | −1138.77 | + | 1138.77i | −1.70730 | + | 1.70730i | ||||
\(668\) | −111.837 | − | 111.837i | −0.167421 | − | 0.167421i | ||||
\(669\) | 351.263 | − | 84.6885i | 0.525058 | − | 0.126590i | ||||
\(670\) | −99.6858 | + | 936.529i | −0.148785 | + | 1.39780i | ||||
\(671\) | 57.3785 | 0.0855119 | ||||||||
\(672\) | 7.08966 | − | 505.718i | 0.0105501 | − | 0.752556i | ||||
\(673\) | 45.1352 | + | 45.1352i | 0.0670657 | + | 0.0670657i | 0.739844 | − | 0.672778i | \(-0.234899\pi\) |
−0.672778 | + | 0.739844i | \(0.734899\pi\) | |||||||
\(674\) | 476.112 | 0.706398 | ||||||||
\(675\) | 191.554 | − | 647.250i | 0.283784 | − | 0.958888i | ||||
\(676\) | −260.185 | −0.384890 | ||||||||
\(677\) | 812.127 | − | 812.127i | 1.19960 | − | 1.19960i | 0.225309 | − | 0.974287i | \(-0.427661\pi\) |
0.974287 | − | 0.225309i | \(-0.0723392\pi\) | |||||||
\(678\) | −613.449 | − | 375.110i | −0.904791 | − | 0.553260i | ||||
\(679\) | −187.206 | − | 316.022i | −0.275708 | − | 0.465423i | ||||
\(680\) | −558.090 | − | 59.4041i | −0.820720 | − | 0.0873589i | ||||
\(681\) | −536.135 | + | 129.260i | −0.787276 | + | 0.189810i | ||||
\(682\) | 250.186 | + | 250.186i | 0.366841 | + | 0.366841i | ||||
\(683\) | −654.128 | + | 654.128i | −0.957728 | + | 0.957728i | −0.999142 | − | 0.0414145i | \(-0.986814\pi\) |
0.0414145 | + | 0.999142i | \(0.486814\pi\) | |||||||
\(684\) | 8.83495 | − | 4.52307i | 0.0129166 | − | 0.00661268i | ||||
\(685\) | −739.287 | + | 597.045i | −1.07925 | + | 0.871599i | ||||
\(686\) | −27.2396 | − | 810.435i | −0.0397078 | − | 1.18139i | ||||
\(687\) | 281.339 | + | 172.033i | 0.409518 | + | 0.250411i | ||||
\(688\) | −604.038 | − | 604.038i | −0.877962 | − | 0.877962i | ||||
\(689\) | − | 109.823i | − | 0.159394i | ||||||
\(690\) | 708.066 | − | 922.082i | 1.02618 | − | 1.33635i | ||||
\(691\) | 1308.29i | 1.89333i | 0.322219 | + | 0.946665i | \(0.395571\pi\) | ||||
−0.322219 | + | 0.946665i | \(0.604429\pi\) | |||||||
\(692\) | −119.150 | + | 119.150i | −0.172182 | + | 0.172182i | ||||
\(693\) | −271.456 | + | 61.4340i | −0.391711 | + | 0.0886493i | ||||
\(694\) | − | 142.180i | − | 0.204871i | ||||||
\(695\) | 120.865 | − | 1135.50i | 0.173907 | − | 1.63382i | ||||
\(696\) | 816.576 | − | 196.874i | 1.17324 | − | 0.282865i | ||||
\(697\) | −452.697 | + | 452.697i | −0.649493 | + | 0.649493i | ||||
\(698\) | −540.917 | − | 540.917i | −0.774953 | − | 0.774953i | ||||
\(699\) | 900.447 | − | 217.095i | 1.28819 | − | 0.310579i | ||||
\(700\) | 124.124 | − | 248.847i | 0.177320 | − | 0.355496i | ||||
\(701\) | 793.166i | 1.13148i | 0.824584 | + | 0.565739i | \(0.191409\pi\) | ||||
−0.824584 | + | 0.565739i | \(0.808591\pi\) | |||||||
\(702\) | 11.0695 | − | 146.041i | 0.0157685 | − | 0.208035i | ||||
\(703\) | −1.40592 | + | 1.40592i | −0.00199989 | + | 0.00199989i | ||||
\(704\) | 98.8997 | 0.140483 | ||||||||
\(705\) | 51.8545 | + | 394.974i | 0.0735525 | + | 0.560247i | ||||
\(706\) | − | 407.822i | − | 0.577651i | ||||||
\(707\) | 119.776 | + | 30.6604i | 0.169414 | + | 0.0433669i | ||||
\(708\) | 93.9665 | + | 57.4584i | 0.132721 | + | 0.0811560i | ||||
\(709\) | 283.272i | 0.399538i | 0.979843 | + | 0.199769i | \(0.0640192\pi\) | ||||
−0.979843 | + | 0.199769i | \(0.935981\pi\) | |||||||
\(710\) | −688.869 | − | 852.987i | −0.970238 | − | 1.20139i | ||||
\(711\) | 803.365 | − | 411.285i | 1.12991 | − | 0.578459i | ||||
\(712\) | −639.489 | − | 639.489i | −0.898158 | − | 0.898158i | ||||
\(713\) | 785.326 | + | 785.326i | 1.10144 | + | 1.10144i | ||||
\(714\) | −681.592 | − | 700.974i | −0.954610 | − | 0.981756i | ||||
\(715\) | −39.4300 | + | 31.8435i | −0.0551469 | + | 0.0445364i | ||||
\(716\) | − | 175.214i | − | 0.244712i | ||||||
\(717\) | −51.6344 | − | 31.5733i | −0.0720145 | − | 0.0440353i | ||||
\(718\) | 762.337 | + | 762.337i | 1.06175 | + | 1.06175i | ||||
\(719\) | 639.857i | 0.889927i | 0.895549 | + | 0.444963i | \(0.146783\pi\) | ||||
−0.895549 | + | 0.444963i | \(0.853217\pi\) | |||||||
\(720\) | −832.935 | + | 320.309i | −1.15685 | + | 0.444874i | ||||
\(721\) | −822.481 | + | 487.222i | −1.14075 | + | 0.675758i | ||||
\(722\) | 602.673 | + | 602.673i | 0.834727 | + | 0.834727i | ||||
\(723\) | −403.159 | + | 659.320i | −0.557620 | + | 0.911922i | ||||
\(724\) | −92.4510 | −0.127695 | ||||||||
\(725\) | 1200.57 | + | 258.510i | 1.65596 | + | 0.356566i | ||||
\(726\) | −168.697 | − | 699.706i | −0.232365 | − | 0.963782i | ||||
\(727\) | −65.1910 | − | 65.1910i | −0.0896713 | − | 0.0896713i | 0.660848 | − | 0.750520i | \(-0.270197\pi\) |
−0.750520 | + | 0.660848i | \(0.770197\pi\) | |||||||
\(728\) | −22.7020 | + | 88.6863i | −0.0311841 | + | 0.121822i | ||||
\(729\) | −720.671 | − | 109.881i | −0.988575 | − | 0.150729i | ||||
\(730\) | 168.880 | − | 1586.59i | 0.231342 | − | 2.17342i | ||||
\(731\) | −848.314 | −1.16048 | ||||||||
\(732\) | 52.8235 | + | 32.3004i | 0.0721632 | + | 0.0441262i | ||||
\(733\) | −631.927 | + | 631.927i | −0.862110 | + | 0.862110i | −0.991583 | − | 0.129473i | \(-0.958671\pi\) |
0.129473 | + | 0.991583i | \(0.458671\pi\) | |||||||
\(734\) | 176.370i | 0.240286i | ||||||||
\(735\) | −672.688 | + | 296.168i | −0.915222 | + | 0.402950i | ||||
\(736\) | −789.576 | −1.07279 | ||||||||
\(737\) | −248.896 | − | 248.896i | −0.337715 | − | 0.337715i | ||||
\(738\) | −212.476 | + | 658.243i | −0.287908 | + | 0.891928i | ||||
\(739\) | 235.665i | 0.318898i | 0.987206 | + | 0.159449i | \(0.0509717\pi\) | ||||
−0.987206 | + | 0.159449i | \(0.949028\pi\) | |||||||
\(740\) | −17.7087 | + | 14.3015i | −0.0239306 | + | 0.0193263i | ||||
\(741\) | −4.64413 | + | 1.11969i | −0.00626738 | + | 0.00151105i | ||||
\(742\) | −767.348 | − | 196.427i | −1.03416 | − | 0.264726i | ||||
\(743\) | 122.316 | − | 122.316i | 0.164625 | − | 0.164625i | −0.619987 | − | 0.784612i | \(-0.712862\pi\) |
0.784612 | + | 0.619987i | \(0.212862\pi\) | |||||||
\(744\) | −135.770 | − | 563.133i | −0.182486 | − | 0.756899i | ||||
\(745\) | 35.8374 | − | 336.685i | 0.0481039 | − | 0.451927i | ||||
\(746\) | 900.577i | 1.20721i | ||||||||
\(747\) | 21.9965 | − | 68.1443i | 0.0294465 | − | 0.0912240i | ||||
\(748\) | −97.7587 | + | 97.7587i | −0.130693 | + | 0.130693i | ||||
\(749\) | −36.4680 | − | 61.5618i | −0.0486889 | − | 0.0821919i | ||||
\(750\) | −883.599 | − | 72.2138i | −1.17813 | − | 0.0962851i | ||||
\(751\) | 314.517 | 0.418797 | 0.209399 | − | 0.977830i | \(-0.432849\pi\) | ||||
0.209399 | + | 0.977830i | \(0.432849\pi\) | |||||||
\(752\) | 372.409 | − | 372.409i | 0.495225 | − | 0.495225i | ||||
\(753\) | −490.307 | − | 299.812i | −0.651138 | − | 0.398157i | ||||
\(754\) | 266.467 | 0.353404 | ||||||||
\(755\) | −57.5966 | + | 541.109i | −0.0762869 | + | 0.716700i | ||||
\(756\) | −284.490 | − | 96.2552i | −0.376309 | − | 0.127322i | ||||
\(757\) | 782.579 | − | 782.579i | 1.03379 | − | 1.03379i | 0.0343817 | − | 0.999409i | \(-0.489054\pi\) |
0.999409 | − | 0.0343817i | \(-0.0109462\pi\) | |||||||
\(758\) | 423.766 | − | 423.766i | 0.559058 | − | 0.559058i | ||||
\(759\) | 101.838 | + | 422.396i | 0.134174 | + | 0.556516i | ||||
\(760\) | 12.4267 | + | 15.3872i | 0.0163509 | + | 0.0202463i | ||||
\(761\) | −78.7855 | −0.103529 | −0.0517644 | − | 0.998659i | \(-0.516485\pi\) | ||||
−0.0517644 | + | 0.998659i | \(0.516485\pi\) | |||||||
\(762\) | −36.4029 | − | 22.2596i | −0.0477729 | − | 0.0292121i | ||||
\(763\) | 217.171 | − | 848.386i | 0.284627 | − | 1.11191i | ||||
\(764\) | −20.0562 | −0.0262515 | ||||||||
\(765\) | −359.967 | + | 809.811i | −0.470545 | + | 1.05858i | ||||
\(766\) | 544.150i | 0.710379i | ||||||||
\(767\) | −37.4852 | − | 37.4852i | −0.0488725 | − | 0.0488725i | ||||
\(768\) | 673.962 | + | 412.113i | 0.877554 | + | 0.536605i | ||||
\(769\) | −959.073 | −1.24717 | −0.623584 | − | 0.781756i | \(-0.714324\pi\) | ||||
−0.623584 | + | 0.781756i | \(0.714324\pi\) | |||||||
\(770\) | 151.972 | + | 332.459i | 0.197366 | + | 0.431764i | ||||
\(771\) | −848.386 | + | 204.543i | −1.10037 | + | 0.265296i | ||||
\(772\) | −336.193 | + | 336.193i | −0.435483 | + | 0.435483i | ||||
\(773\) | 313.143 | + | 313.143i | 0.405100 | + | 0.405100i | 0.880026 | − | 0.474926i | \(-0.157525\pi\) |
−0.474926 | + | 0.880026i | \(0.657525\pi\) | |||||||
\(774\) | −815.826 | + | 417.664i | −1.05404 | + | 0.539618i | ||||
\(775\) | 178.276 | − | 827.945i | 0.230033 | − | 1.06832i | ||||
\(776\) | 299.081 | 0.385414 | ||||||||
\(777\) | 60.1568 | + | 0.843339i | 0.0774219 | + | 0.00108538i | ||||
\(778\) | 517.324 | + | 517.324i | 0.664941 | + | 0.664941i | ||||
\(779\) | 22.5613 | 0.0289619 | ||||||||
\(780\) | −54.2257 | + | 7.11908i | −0.0695202 | + | 0.00912702i | ||||
\(781\) | 409.771 | 0.524674 | ||||||||
\(782\) | −1079.30 | + | 1079.30i | −1.38018 | + | 1.38018i | ||||
\(783\) | 100.245 | − | 1322.54i | 0.128027 | − | 1.68907i | ||||
\(784\) | 852.210 | + | 466.893i | 1.08700 | + | 0.595527i | ||||
\(785\) | 70.6916 | − | 57.0903i | 0.0900530 | − | 0.0727265i | ||||
\(786\) | −191.851 | − | 795.742i | −0.244085 | − | 1.01239i | ||||
\(787\) | 617.290 | + | 617.290i | 0.784358 | + | 0.784358i | 0.980563 | − | 0.196205i | \(-0.0628617\pi\) |
−0.196205 | + | 0.980563i | \(0.562862\pi\) | |||||||
\(788\) | 162.911 | − | 162.911i | 0.206739 | − | 0.206739i | ||||
\(789\) | 19.8984 | − | 4.79745i | 0.0252198 | − | 0.00608042i | ||||
\(790\) | −744.762 | − | 922.195i | −0.942736 | − | 1.16734i | ||||
\(791\) | 610.590 | − | 361.702i | 0.771922 | − | 0.457272i | ||||
\(792\) | 69.6153 | − | 215.665i | 0.0878981 | − | 0.272305i | ||||
\(793\) | −21.0724 | − | 21.0724i | −0.0265730 | − | 0.0265730i | ||||
\(794\) | 1549.27i | 1.95122i | ||||||||
\(795\) | 93.4557 | + | 711.848i | 0.117554 | + | 0.895407i | ||||
\(796\) | − | 374.944i | − | 0.471035i | ||||||
\(797\) | −843.997 | + | 843.997i | −1.05897 | + | 1.05897i | −0.0608184 | + | 0.998149i | \(0.519371\pi\) |
−0.998149 | + | 0.0608184i | \(0.980629\pi\) | |||||||
\(798\) | −0.482982 | + | 34.4519i | −0.000605240 | + | 0.0431728i | ||||
\(799\) | − | 523.013i | − | 0.654585i | ||||||
\(800\) | 326.592 | + | 505.833i | 0.408240 | + | 0.632291i | ||||
\(801\) | −1271.13 | + | 650.756i | −1.58692 | + | 0.812429i | ||||
\(802\) | 863.401 | − | 863.401i | 1.07656 | − | 1.07656i | ||||
\(803\) | 421.661 | + | 421.661i | 0.525107 | + | 0.525107i | ||||
\(804\) | −89.0251 | − | 369.250i | −0.110728 | − | 0.459266i | ||||
\(805\) | 477.036 | + | 1043.58i | 0.592592 | + | 1.29637i | ||||
\(806\) | − | 183.763i | − | 0.227993i | ||||||
\(807\) | 167.433 | − | 273.817i | 0.207476 | − | 0.339302i | ||||
\(808\) | −71.1860 | + | 71.1860i | −0.0881014 | + | 0.0881014i | ||||
\(809\) | −56.0803 | −0.0693205 | −0.0346602 | − | 0.999399i | \(-0.511035\pi\) | ||||
−0.0346602 | + | 0.999399i | \(0.511035\pi\) | |||||||
\(810\) | 52.5259 | + | 956.026i | 0.0648467 | + | 1.18028i | ||||
\(811\) | 882.859i | 1.08861i | 0.838889 | + | 0.544303i | \(0.183206\pi\) | ||||
−0.838889 | + | 0.544303i | \(0.816794\pi\) | |||||||
\(812\) | 135.504 | − | 529.353i | 0.166877 | − | 0.651912i | ||||
\(813\) | 292.718 | − | 478.706i | 0.360047 | − | 0.588814i | ||||
\(814\) | − | 29.9215i | − | 0.0367586i | ||||||
\(815\) | 772.094 | − | 623.540i | 0.947354 | − | 0.765080i | ||||
\(816\) | 1139.00 | − | 274.610i | 1.39584 | − | 0.336532i | ||||
\(817\) | 21.1390 | + | 21.1390i | 0.0258739 | + | 0.0258739i | ||||
\(818\) | −199.057 | − | 199.057i | −0.243346 | − | 0.243346i | ||||
\(819\) | 122.255 | + | 77.1311i | 0.149273 | + | 0.0941771i | ||||
\(820\) | 256.839 | + | 27.3384i | 0.313219 | + | 0.0333395i | ||||
\(821\) | 1159.68i | 1.41253i | 0.707949 | + | 0.706264i | \(0.249621\pi\) | ||||
−0.707949 | + | 0.706264i | \(0.750379\pi\) | |||||||
\(822\) | 703.184 | − | 1149.97i | 0.855454 | − | 1.39900i | ||||
\(823\) | 704.019 | + | 704.019i | 0.855430 | + | 0.855430i | 0.990796 | − | 0.135366i | \(-0.0432210\pi\) |
−0.135366 | + | 0.990796i | \(0.543221\pi\) | |||||||
\(824\) | − | 778.391i | − | 0.944649i | ||||||
\(825\) | 228.480 | − | 239.957i | 0.276945 | − | 0.290857i | ||||
\(826\) | −328.960 | + | 194.870i | −0.398257 | + | 0.235920i | ||||
\(827\) | −572.404 | − | 572.404i | −0.692145 | − | 0.692145i | 0.270558 | − | 0.962704i | \(-0.412792\pi\) |
−0.962704 | + | 0.270558i | \(0.912792\pi\) | |||||||
\(828\) | −144.028 | + | 446.192i | −0.173947 | + | 0.538880i | ||||
\(829\) | 463.044 | 0.558557 | 0.279279 | − | 0.960210i | \(-0.409905\pi\) | ||||
0.279279 | + | 0.960210i | \(0.409905\pi\) | |||||||
\(830\) | −93.5197 | − | 9.95441i | −0.112674 | − | 0.0119933i | ||||
\(831\) | 395.007 | − | 95.2349i | 0.475339 | − | 0.114603i | ||||
\(832\) | −36.3212 | − | 36.3212i | −0.0436552 | − | 0.0436552i | ||||
\(833\) | 926.277 | − | 270.570i | 1.11198 | − | 0.324814i | ||||
\(834\) | 379.646 | + | 1574.66i | 0.455210 | + | 1.88808i | ||||
\(835\) | −312.674 | − | 387.167i | −0.374460 | − | 0.463673i | ||||
\(836\) | 4.87206 | 0.00582783 | ||||||||
\(837\) | −912.059 | − | 69.1316i | −1.08968 | − | 0.0825945i | ||||
\(838\) | 1224.21 | − | 1224.21i | 1.46087 | − | 1.46087i | ||||
\(839\) | − | 401.831i | − | 0.478940i | −0.970904 | − | 0.239470i | \(-0.923026\pi\) | ||
0.970904 | − | 0.239470i | \(-0.0769737\pi\) | |||||||
\(840\) | 71.6806 | − | 594.166i | 0.0853341 | − | 0.707340i | ||||
\(841\) | 1572.11 | 1.86934 | ||||||||
\(842\) | −513.742 | − | 513.742i | −0.610145 | − | 0.610145i | ||||
\(843\) | −220.410 | + | 360.455i | −0.261459 | + | 0.427586i | ||||
\(844\) | − | 142.456i | − | 0.168787i | ||||||
\(845\) | −814.078 | − | 86.6519i | −0.963406 | − | 0.102547i | ||||
\(846\) | −257.504 | − | 502.984i | −0.304378 | − | 0.594543i | ||||
\(847\) | 688.192 | + | 176.164i | 0.812506 | + | 0.207986i | ||||
\(848\) | 671.181 | − | 671.181i | 0.791487 | − | 0.791487i | ||||
\(849\) | −844.490 | + | 203.604i | −0.994688 | + | 0.239816i | ||||
\(850\) | 1137.87 | + | 245.010i | 1.33867 | + | 0.288247i | ||||
\(851\) | − | 93.9227i | − | 0.110367i | ||||||
\(852\) | 377.241 | + | 230.675i | 0.442771 | + | 0.270745i | ||||
\(853\) | 615.673 | − | 615.673i | 0.721774 | − | 0.721774i | −0.247192 | − | 0.968966i | \(-0.579508\pi\) |
0.968966 | + | 0.247192i | \(0.0795080\pi\) | |||||||
\(854\) | −184.926 | + | 109.546i | −0.216541 | + | 0.128274i | ||||
\(855\) | 29.1495 | − | 11.2096i | 0.0340930 | − | 0.0131106i | ||||
\(856\) | 58.2616 | 0.0680627 | ||||||||
\(857\) | −90.9145 | + | 90.9145i | −0.106085 | + | 0.106085i | −0.758157 | − | 0.652072i | \(-0.773900\pi\) |
0.652072 | + | 0.758157i | \(0.273900\pi\) | |||||||
\(858\) | 37.5045 | − | 61.3341i | 0.0437115 | − | 0.0714850i | ||||
\(859\) | −974.498 | −1.13446 | −0.567228 | − | 0.823561i | \(-0.691984\pi\) | ||||
−0.567228 | + | 0.823561i | \(0.691984\pi\) | |||||||
\(860\) | 215.032 | + | 266.262i | 0.250038 | + | 0.309607i | ||||
\(861\) | −475.913 | − | 489.446i | −0.552744 | − | 0.568463i | ||||
\(862\) | 344.070 | − | 344.070i | 0.399153 | − | 0.399153i | ||||
\(863\) | −341.306 | + | 341.306i | −0.395488 | + | 0.395488i | −0.876638 | − | 0.481150i | \(-0.840219\pi\) |
0.481150 | + | 0.876638i | \(0.340219\pi\) | |||||||
\(864\) | 493.250 | − | 423.744i | 0.570891 | − | 0.490444i | ||||
\(865\) | −412.483 | + | 333.120i | −0.476859 | + | 0.385110i | ||||
\(866\) | 975.798 | 1.12679 | ||||||||
\(867\) | 154.684 | − | 252.967i | 0.178413 | − | 0.291773i | ||||
\(868\) | −365.056 | − | 93.4474i | −0.420571 | − | 0.107658i | ||||
\(869\) | 443.018 | 0.509802 | ||||||||
\(870\) | −1727.18 | + | 226.755i | −1.98527 | + | 0.260638i | ||||
\(871\) | 182.815i | 0.209891i | ||||||||
\(872\) | 504.218 | + | 504.218i | 0.578232 | + | 0.578232i | ||||
\(873\) | 145.070 | − | 449.421i | 0.166174 | − | 0.514801i | ||||
\(874\) | 53.7897 | 0.0615443 | ||||||||
\(875\) | 471.240 | − | 737.264i | 0.538560 | − | 0.842587i | ||||
\(876\) | 150.819 | + | 625.555i | 0.172168 | + | 0.714104i | ||||
\(877\) | −798.731 | + | 798.731i | −0.910754 | + | 0.910754i | −0.996331 | − | 0.0855778i | \(-0.972726\pi\) |
0.0855778 | + | 0.996331i | \(0.472726\pi\) | |||||||
\(878\) | 195.037 | + | 195.037i | 0.222138 | + | 0.222138i | ||||
\(879\) | 157.321 | + | 652.523i | 0.178978 | + | 0.742347i | ||||
\(880\) | −435.588 | − | 46.3648i | −0.494987 | − | 0.0526873i | ||||
\(881\) | 90.0599 | 0.102225 | 0.0511123 | − | 0.998693i | \(-0.483723\pi\) | ||||
0.0511123 | + | 0.998693i | \(0.483723\pi\) | |||||||
\(882\) | 757.589 | − | 716.257i | 0.858945 | − | 0.812083i | ||||
\(883\) | −149.663 | − | 149.663i | −0.169494 | − | 0.169494i | 0.617263 | − | 0.786757i | \(-0.288241\pi\) |
−0.786757 | + | 0.617263i | \(0.788241\pi\) | |||||||
\(884\) | 71.8042 | 0.0812265 | ||||||||
\(885\) | 274.870 | + | 211.073i | 0.310588 | + | 0.238500i | ||||
\(886\) | 942.902 | 1.06422 | ||||||||
\(887\) | −449.819 | + | 449.819i | −0.507124 | + | 0.507124i | −0.913643 | − | 0.406518i | \(-0.866743\pi\) |
0.406518 | + | 0.913643i | \(0.366743\pi\) | |||||||
\(888\) | −25.5557 | + | 41.7933i | −0.0287789 | + | 0.0470646i | ||||
\(889\) | 36.2333 | − | 21.4639i | 0.0407574 | − | 0.0241439i | ||||
\(890\) | 1178.40 | + | 1459.15i | 1.32405 | + | 1.63949i | ||||
\(891\) | −290.307 | − | 209.218i | −0.325822 | − | 0.234812i | ||||
\(892\) | 135.334 | + | 135.334i | 0.151719 | + | 0.151719i | ||||
\(893\) | −13.0329 | + | 13.0329i | −0.0145945 | + | 0.0145945i | ||||
\(894\) | 112.568 | + | 466.898i | 0.125915 | + | 0.522258i | ||||
\(895\) | 58.3530 | − | 548.215i | 0.0651989 | − | 0.612531i | ||||
\(896\) | −898.942 | + | 532.516i | −1.00328 | + | 0.594326i | ||||
\(897\) | 117.726 | − | 192.526i | 0.131244 | − | 0.214633i | ||||
\(898\) | −681.770 | − | 681.770i | −0.759210 | − | 0.759210i | ||||
\(899\) | − | 1664.15i | − | 1.85111i | ||||||
\(900\) | 345.422 | − | 92.2889i | 0.383803 | − | 0.102543i | ||||
\(901\) | − | 942.610i | − | 1.04618i | ||||||
\(902\) | −240.081 | + | 240.081i | −0.266165 | + | 0.266165i | ||||
\(903\) | 12.6802 | − | 904.500i | 0.0140423 | − | 1.00166i | ||||
\(904\) | 577.859i | 0.639224i | ||||||||
\(905\) | −289.264 | − | 30.7898i | −0.319629 | − | 0.0340219i | ||||
\(906\) | −180.915 | − | 750.382i | −0.199685 | − | 0.828237i | ||||
\(907\) | 1098.67 | − | 1098.67i | 1.21133 | − | 1.21133i | 0.240735 | − | 0.970591i | \(-0.422611\pi\) |
0.970591 | − | 0.240735i | \(-0.0773886\pi\) | |||||||
\(908\) | −206.561 | − | 206.561i | −0.227490 | − | 0.227490i | ||||
\(909\) | 72.4402 | + | 141.498i | 0.0796922 | + | 0.155663i | ||||
\(910\) | 66.2841 | − | 177.908i | 0.0728397 | − | 0.195504i | ||||
\(911\) | − | 1217.82i | − | 1.33680i | −0.743804 | − | 0.668398i | \(-0.766980\pi\) | ||
0.743804 | − | 0.668398i | \(-0.233020\pi\) | |||||||
\(912\) | −35.2255 | − | 21.5396i | −0.0386245 | − | 0.0236180i | ||||
\(913\) | 24.8542 | − | 24.8542i | 0.0272226 | − | 0.0272226i | ||||
\(914\) | −1542.88 | −1.68805 | ||||||||
\(915\) | 154.519 | + | 118.655i | 0.168873 | + | 0.129678i | ||||
\(916\) | 174.674i | 0.190692i | ||||||||
\(917\) | 782.649 | + | 200.343i | 0.853488 | + | 0.218477i | ||||
\(918\) | 95.0097 | − | 1253.47i | 0.103496 | − | 1.36544i | ||||
\(919\) | 80.9089i | 0.0880401i | 0.999031 | + | 0.0440201i | \(0.0140166\pi\) | ||||
−0.999031 | + | 0.0440201i | \(0.985983\pi\) | |||||||
\(920\) | −929.055 | − | 98.8903i | −1.00984 | − | 0.107489i | ||||
\(921\) | 388.295 | + | 1610.54i | 0.421602 | + | 1.74868i | ||||
\(922\) | 1318.62 | + | 1318.62i | 1.43017 | + | 1.43017i | ||||
\(923\) | −150.489 | − | 150.489i | −0.163044 | − | 0.163044i | ||||
\(924\) | −102.772 | − | 105.695i | −0.111225 | − | 0.114388i | ||||
\(925\) | −60.1705 | + | 38.8493i | −0.0650492 | + | 0.0419992i | ||||
\(926\) | 1834.39i | 1.98098i | ||||||||
\(927\) | −1169.66 | − | 377.560i | −1.26177 | − | 0.407292i | ||||
\(928\) | 836.576 | + | 836.576i | 0.901482 | + | 0.901482i | ||||
\(929\) | − | 1204.04i | − | 1.29607i | −0.761612 | − | 0.648033i | \(-0.775592\pi\) | ||
0.761612 | − | 0.648033i | \(-0.224408\pi\) | |||||||
\(930\) | 156.376 | + | 1191.11i | 0.168147 | + | 1.28077i | ||||
\(931\) | −29.8240 | − | 16.3394i | −0.0320344 | − | 0.0175504i | ||||
\(932\) | 346.921 | + | 346.921i | 0.372233 | + | 0.372233i | ||||
\(933\) | 804.081 | + | 491.678i | 0.861823 | + | 0.526986i | ||||
\(934\) | −1000.02 | −1.07068 | ||||||||
\(935\) | −338.429 | + | 273.314i | −0.361956 | + | 0.292314i | ||||
\(936\) | −104.770 | + | 53.6372i | −0.111934 | + | 0.0573048i | ||||
\(937\) | 498.626 | + | 498.626i | 0.532152 | + | 0.532152i | 0.921212 | − | 0.389061i | \(-0.127200\pi\) |
−0.389061 | + | 0.921212i | \(0.627200\pi\) | |||||||
\(938\) | 1277.36 | + | 326.980i | 1.36179 | + | 0.348593i | ||||
\(939\) | −571.323 | + | 137.744i | −0.608438 | + | 0.146692i | ||||
\(940\) | −164.159 | + | 132.574i | −0.174638 | + | 0.141037i | ||||
\(941\) | 759.571 | 0.807195 | 0.403598 | − | 0.914937i | \(-0.367760\pi\) | ||||
0.403598 | + | 0.914937i | \(0.367760\pi\) | |||||||
\(942\) | −67.2394 | + | 109.962i | −0.0713794 | + | 0.116733i | ||||
\(943\) | −753.607 | + | 753.607i | −0.799159 | + | 0.799159i | ||||
\(944\) | − | 458.181i | − | 0.485361i | ||||||
\(945\) | −858.066 | − | 395.913i | −0.908007 | − | 0.418956i | ||||
\(946\) | −449.890 | −0.475571 | ||||||||
\(947\) | −911.272 | − | 911.272i | −0.962273 | − | 0.962273i | 0.0370409 | − | 0.999314i | \(-0.488207\pi\) |
−0.999314 | + | 0.0370409i | \(0.988207\pi\) | |||||||
\(948\) | 407.849 | + | 249.391i | 0.430221 | + | 0.263070i | ||||
\(949\) | − | 309.712i | − | 0.326356i | ||||||
\(950\) | −22.2490 | − | 34.4598i | −0.0234200 | − | 0.0362734i | ||||
\(951\) | 170.825 | + | 708.531i | 0.179626 | + | 0.745038i | ||||
\(952\) | −194.852 | + | 761.196i | −0.204676 | + | 0.799576i | ||||
\(953\) | 335.606 | − | 335.606i | 0.352158 | − | 0.352158i | −0.508754 | − | 0.860912i | \(-0.669894\pi\) |
0.860912 | + | 0.508754i | \(0.169894\pi\) | |||||||
\(954\) | −464.090 | − | 906.511i | −0.486468 | − | 0.950221i | ||||
\(955\) | −62.7525 | − | 6.67949i | −0.0657095 | − | 0.00699423i | ||||
\(956\) | − | 32.0580i | − | 0.0335335i | ||||||
\(957\) | 339.639 | − | 555.440i | 0.354900 | − | 0.580397i | ||||
\(958\) | −950.798 | + | 950.798i | −0.992483 | + | 0.992483i | ||||
\(959\) | 678.048 | + | 1144.62i | 0.707037 | + | 1.19355i | ||||
\(960\) | 266.335 | + | 204.518i | 0.277432 | + | 0.213040i | ||||
\(961\) | −186.641 | −0.194215 | ||||||||
\(962\) | −10.9887 | + | 10.9887i | −0.0114228 | + | 0.0114228i | ||||
\(963\) | 28.2599 | − | 87.5481i | 0.0293457 | − | 0.0909118i | ||||
\(964\) | −409.349 | −0.424636 | ||||||||
\(965\) | −1163.86 | + | 939.929i | −1.20607 | + | 0.974019i | ||||
\(966\) | −1134.65 | − | 1166.92i | −1.17459 | − | 1.20799i | ||||
\(967\) | −44.4403 | + | 44.4403i | −0.0459568 | + | 0.0459568i | −0.729712 | − | 0.683755i | \(-0.760346\pi\) |
0.683755 | + | 0.729712i | \(0.260346\pi\) | |||||||
\(968\) | −409.011 | + | 409.011i | −0.422532 | + | 0.422532i | ||||
\(969\) | −39.8607 | + | 9.61028i | −0.0411359 | + | 0.00991773i | ||||
\(970\) | −616.775 | − | 65.6506i | −0.635850 | − | 0.0676810i | ||||
\(971\) | −1113.37 | −1.14663 | −0.573313 | − | 0.819337i | \(-0.694342\pi\) | ||||
−0.573313 | + | 0.819337i | \(0.694342\pi\) | |||||||
\(972\) | −149.485 | − | 356.033i | −0.153791 | − | 0.366289i | ||||
\(973\) | −1548.75 | − | 396.450i | −1.59173 | − | 0.407452i | ||||
\(974\) | −1279.90 | −1.31407 | ||||||||
\(975\) | −172.035 | + | 4.21514i | −0.176446 | + | 0.00432322i | ||||
\(976\) | − | 257.567i | − | 0.263901i | ||||||
\(977\) | −537.682 | − | 537.682i | −0.550340 | − | 0.550340i | 0.376199 | − | 0.926539i | \(-0.377231\pi\) |
−0.926539 | + | 0.376199i | \(0.877231\pi\) | |||||||
\(978\) | −734.388 | + | 1201.01i | −0.750908 | + | 1.22802i | ||||
\(979\) | −700.966 | −0.716002 | ||||||||
\(980\) | −319.719 | − | 222.148i | −0.326244 | − | 0.226681i | ||||
\(981\) | 1002.25 | − | 513.102i | 1.02166 | − | 0.523039i | ||||
\(982\) | 2.31617 | − | 2.31617i | 0.00235862 | − | 0.00235862i | ||||
\(983\) | 994.643 | + | 994.643i | 1.01184 | + | 1.01184i | 0.999929 | + | 0.0119152i | \(0.00379282\pi\) |
0.0119152 | + | 0.999929i | \(0.496207\pi\) | |||||||
\(984\) | 540.388 | − | 130.286i | 0.549174 | − | 0.132404i | ||||
\(985\) | 563.977 | − | 455.465i | 0.572565 | − | 0.462401i | ||||
\(986\) | 2287.09 | 2.31956 | ||||||||
\(987\) | 557.654 | + | 7.81775i | 0.564999 | + | 0.00792072i | ||||
\(988\) | −1.78928 | − | 1.78928i | −0.00181101 | − | 0.00181101i | ||||
\(989\) | −1412.19 | −1.42790 | ||||||||
\(990\) | −190.903 | + | 429.471i | −0.192831 | + | 0.433809i | ||||
\(991\) | −717.169 | −0.723682 | −0.361841 | − | 0.932240i | \(-0.617852\pi\) | ||||
−0.361841 | + | 0.932240i | \(0.617852\pi\) | |||||||
\(992\) | 576.925 | − | 576.925i | 0.581578 | − | 0.581578i | ||||
\(993\) | −248.725 | − | 152.090i | −0.250478 | − | 0.153162i | ||||
\(994\) | −1320.65 | + | 782.330i | −1.32863 | + | 0.787052i | ||||
\(995\) | 124.871 | − | 1173.14i | 0.125499 | − | 1.17904i | ||||
\(996\) | 36.8725 | − | 8.88985i | 0.0370206 | − | 0.00892555i | ||||
\(997\) | −572.089 | − | 572.089i | −0.573810 | − | 0.573810i | 0.359381 | − | 0.933191i | \(-0.382988\pi\) |
−0.933191 | + | 0.359381i | \(0.882988\pi\) | |||||||
\(998\) | 596.359 | − | 596.359i | 0.597554 | − | 0.597554i | ||||
\(999\) | 50.4058 | + | 58.6737i | 0.0504562 | + | 0.0587325i |
(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 | 105.3.k.d.83.8 | yes | 32 | |
3.2 | odd | 2 | inner | 105.3.k.d.83.9 | yes | 32 | |
5.2 | odd | 4 | inner | 105.3.k.d.62.10 | yes | 32 | |
7.6 | odd | 2 | inner | 105.3.k.d.83.7 | yes | 32 | |
15.2 | even | 4 | inner | 105.3.k.d.62.7 | ✓ | 32 | |
21.20 | even | 2 | inner | 105.3.k.d.83.10 | yes | 32 | |
35.27 | even | 4 | inner | 105.3.k.d.62.9 | yes | 32 | |
105.62 | odd | 4 | inner | 105.3.k.d.62.8 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.k.d.62.7 | ✓ | 32 | 15.2 | even | 4 | inner | |
105.3.k.d.62.8 | yes | 32 | 105.62 | odd | 4 | inner | |
105.3.k.d.62.9 | yes | 32 | 35.27 | even | 4 | inner | |
105.3.k.d.62.10 | yes | 32 | 5.2 | odd | 4 | inner | |
105.3.k.d.83.7 | yes | 32 | 7.6 | odd | 2 | inner | |
105.3.k.d.83.8 | yes | 32 | 1.1 | even | 1 | trivial | |
105.3.k.d.83.9 | yes | 32 | 3.2 | odd | 2 | inner | |
105.3.k.d.83.10 | yes | 32 | 21.20 | even | 2 | inner |