Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(163,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.w (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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 163.4 | ||
Character | \(\chi\) | \(=\) | 360.163 |
Dual form | 360.2.w.e.307.4 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.647304 | + | 1.25738i | −0.457713 | + | 0.889100i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.16200 | − | 1.62781i | −0.580998 | − | 0.813905i | ||||
\(5\) | 1.28903 | + | 1.82713i | 0.576472 | + | 0.817117i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.45533 | + | 1.45533i | 0.550062 | + | 0.550062i | 0.926459 | − | 0.376397i | \(-0.122837\pi\) |
−0.376397 | + | 0.926459i | \(0.622837\pi\) | |||||||
\(8\) | 2.79894 | − | 0.407381i | 0.989573 | − | 0.144031i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.13178 | + | 0.438090i | −0.990357 | + | 0.138536i | ||||
\(11\) | −0.725670 | −0.218798 | −0.109399 | − | 0.993998i | \(-0.534893\pi\) | ||||
−0.109399 | + | 0.993998i | \(0.534893\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.57738 | − | 4.57738i | 1.26954 | − | 1.26954i | 0.323208 | − | 0.946328i | \(-0.395239\pi\) |
0.946328 | − | 0.323208i | \(-0.104761\pi\) | |||||||
\(14\) | −2.77193 | + | 0.887857i | −0.740831 | + | 0.237290i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.29953 | + | 3.78302i | −0.324882 | + | 0.945754i | ||||
\(17\) | −2.36535 | + | 2.36535i | −0.573681 | + | 0.573681i | −0.933155 | − | 0.359474i | \(-0.882956\pi\) |
0.359474 | + | 0.933155i | \(0.382956\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.41350i | 1.47136i | 0.677330 | + | 0.735679i | \(0.263137\pi\) | ||||
−0.677330 | + | 0.735679i | \(0.736863\pi\) | |||||||
\(20\) | 1.47637 | − | 4.22141i | 0.330126 | − | 0.943937i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.469729 | − | 0.912441i | 0.100146 | − | 0.194533i | ||||
\(23\) | −1.35791 | + | 1.35791i | −0.283144 | + | 0.283144i | −0.834362 | − | 0.551217i | \(-0.814164\pi\) |
0.551217 | + | 0.834362i | \(0.314164\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.67680 | + | 4.71045i | −0.335360 | + | 0.942090i | ||||
\(26\) | 2.79254 | + | 8.71844i | 0.547662 | + | 1.70983i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.677911 | − | 4.06008i | 0.128113 | − | 0.767283i | ||||
\(29\) | 2.91898 | 0.542042 | 0.271021 | − | 0.962573i | \(-0.412639\pi\) | ||||
0.271021 | + | 0.962573i | \(0.412639\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.71240i | 1.02598i | 0.858395 | + | 0.512989i | \(0.171462\pi\) | ||||
−0.858395 | + | 0.512989i | \(0.828538\pi\) | |||||||
\(32\) | −3.91549 | − | 4.08276i | −0.692168 | − | 0.721737i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.44304 | − | 4.50523i | −0.247479 | − | 0.772640i | ||||
\(35\) | −0.783110 | + | 4.53503i | −0.132370 | + | 0.766560i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.65700 | + | 2.65700i | 0.436808 | + | 0.436808i | 0.890936 | − | 0.454128i | \(-0.150049\pi\) |
−0.454128 | + | 0.890936i | \(0.650049\pi\) | |||||||
\(38\) | −8.06419 | − | 4.15148i | −1.30819 | − | 0.673460i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.35225 | + | 4.58889i | 0.688151 | + | 0.725567i | ||||
\(41\) | −1.02625 | −0.160274 | −0.0801368 | − | 0.996784i | \(-0.525536\pi\) | ||||
−0.0801368 | + | 0.996784i | \(0.525536\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.38725 | − | 7.38725i | −1.12655 | − | 1.12655i | −0.990735 | − | 0.135810i | \(-0.956636\pi\) |
−0.135810 | − | 0.990735i | \(-0.543364\pi\) | |||||||
\(44\) | 0.843226 | + | 1.18125i | 0.127121 | + | 0.178081i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.828427 | − | 2.58639i | −0.122145 | − | 0.381342i | ||||
\(47\) | −1.22848 | − | 1.22848i | −0.179192 | − | 0.179192i | 0.611812 | − | 0.791004i | \(-0.290441\pi\) |
−0.791004 | + | 0.611812i | \(0.790441\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 2.76404i | − | 0.394864i | ||||||
\(50\) | −4.83741 | − | 5.15746i | −0.684114 | − | 0.729376i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −12.7700 | − | 2.13220i | −1.77088 | − | 0.295684i | ||||
\(53\) | 9.48969 | − | 9.48969i | 1.30351 | − | 1.30351i | 0.377500 | − | 0.926010i | \(-0.376784\pi\) |
0.926010 | − | 0.377500i | \(-0.123216\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.935410 | − | 1.32589i | −0.126131 | − | 0.178783i | ||||
\(56\) | 4.66624 | + | 3.48050i | 0.623553 | + | 0.465101i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.88947 | + | 3.67027i | −0.248099 | + | 0.481929i | ||||
\(59\) | − | 6.43011i | − | 0.837129i | −0.908187 | − | 0.418564i | \(-0.862533\pi\) | ||
0.908187 | − | 0.418564i | \(-0.137467\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 1.18105i | − | 0.151218i | −0.997138 | − | 0.0756089i | \(-0.975910\pi\) | ||
0.997138 | − | 0.0756089i | \(-0.0240901\pi\) | |||||||
\(62\) | −7.18265 | − | 3.69766i | −0.912197 | − | 0.469603i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.66808 | − | 2.28046i | 0.958510 | − | 0.285058i | ||||
\(65\) | 14.2638 | + | 2.46308i | 1.76921 | + | 0.305508i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.02625 | − | 3.02625i | 0.369716 | − | 0.369716i | −0.497658 | − | 0.867373i | \(-0.665806\pi\) |
0.867373 | + | 0.497658i | \(0.165806\pi\) | |||||||
\(68\) | 6.59886 | + | 1.10181i | 0.800229 | + | 0.133614i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.19534 | − | 3.92021i | −0.620962 | − | 0.468554i | ||||
\(71\) | 6.55658i | 0.778123i | 0.921212 | + | 0.389062i | \(0.127201\pi\) | ||||
−0.921212 | + | 0.389062i | \(0.872799\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.38725 | + | 4.38725i | 0.513489 | + | 0.513489i | 0.915594 | − | 0.402105i | \(-0.131721\pi\) |
−0.402105 | + | 0.915594i | \(0.631721\pi\) | |||||||
\(74\) | −5.06073 | + | 1.62097i | −0.588298 | + | 0.188433i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.4400 | − | 7.45247i | 1.19755 | − | 0.854857i | ||||
\(77\) | −1.05609 | − | 1.05609i | −0.120352 | − | 0.120352i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.75224 | −0.759686 | −0.379843 | − | 0.925051i | \(-0.624022\pi\) | ||||
−0.379843 | + | 0.925051i | \(0.624022\pi\) | |||||||
\(80\) | −8.58720 | + | 2.50202i | −0.960078 | + | 0.279734i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.664297 | − | 1.29039i | 0.0733593 | − | 0.142499i | ||||
\(83\) | −1.37207 | − | 1.37207i | −0.150604 | − | 0.150604i | 0.627784 | − | 0.778388i | \(-0.283962\pi\) |
−0.778388 | + | 0.627784i | \(0.783962\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.37079 | − | 1.27279i | −0.799475 | − | 0.138053i | ||||
\(86\) | 14.0704 | − | 4.50677i | 1.51725 | − | 0.485977i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.03110 | + | 0.295624i | −0.216516 | + | 0.0315136i | ||||
\(89\) | 4.63060i | 0.490843i | 0.969416 | + | 0.245421i | \(0.0789263\pi\) | ||||
−0.969416 | + | 0.245421i | \(0.921074\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.3232 | 1.39665 | ||||||||
\(92\) | 3.78831 | + | 0.632534i | 0.394959 | + | 0.0659463i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.33986 | − | 0.749462i | 0.241338 | − | 0.0773011i | ||||
\(95\) | −11.7183 | + | 8.26720i | −1.20227 | + | 0.848197i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.27977 | − | 3.27977i | 0.333010 | − | 0.333010i | −0.520719 | − | 0.853728i | \(-0.674336\pi\) |
0.853728 | + | 0.520719i | \(0.174336\pi\) | |||||||
\(98\) | 3.47545 | + | 1.78918i | 0.351073 | + | 0.180734i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.61615 | − | 2.74401i | 0.961615 | − | 0.274401i | ||||
\(101\) | − | 13.5791i | − | 1.35117i | −0.737284 | − | 0.675583i | \(-0.763892\pi\) | ||
0.737284 | − | 0.675583i | \(-0.236108\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.90300 | − | 7.90300i | 0.778706 | − | 0.778706i | −0.200905 | − | 0.979611i | \(-0.564388\pi\) |
0.979611 | + | 0.200905i | \(0.0643882\pi\) | |||||||
\(104\) | 10.9470 | − | 14.6765i | 1.07345 | − | 1.43915i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.78941 | + | 18.0748i | 0.562318 | + | 1.75558i | ||||
\(107\) | 11.1728 | − | 11.1728i | 1.08012 | − | 1.08012i | 0.0836196 | − | 0.996498i | \(-0.473352\pi\) |
0.996498 | − | 0.0836196i | \(-0.0266481\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.4480 | 1.19230 | 0.596150 | − | 0.802873i | \(-0.296696\pi\) | ||||
0.596150 | + | 0.802873i | \(0.296696\pi\) | |||||||
\(110\) | 2.27264 | − | 0.317909i | 0.216688 | − | 0.0303114i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −7.39677 | + | 3.61429i | −0.698929 | + | 0.341518i | ||||
\(113\) | −9.43541 | − | 9.43541i | −0.887609 | − | 0.887609i | 0.106684 | − | 0.994293i | \(-0.465977\pi\) |
−0.994293 | + | 0.106684i | \(0.965977\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.23147 | − | 0.730691i | −0.394587 | − | 0.0681373i | ||||
\(116\) | −3.39185 | − | 4.75155i | −0.314925 | − | 0.441171i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.08507 | + | 4.16223i | 0.744291 | + | 0.383165i | ||||
\(119\) | −6.88470 | −0.631120 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.4734 | −0.952128 | ||||||||
\(122\) | 1.48502 | + | 0.764497i | 0.134448 | + | 0.0692143i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 9.29870 | − | 6.63779i | 0.835048 | − | 0.596091i | ||||
\(125\) | −10.7680 | + | 3.00818i | −0.963124 | + | 0.269060i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.88355 | − | 9.88355i | −0.877024 | − | 0.877024i | 0.116202 | − | 0.993226i | \(-0.462928\pi\) |
−0.993226 | + | 0.116202i | \(0.962928\pi\) | |||||||
\(128\) | −2.09617 | + | 11.1178i | −0.185277 | + | 0.982686i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −12.3301 | + | 16.3407i | −1.08142 | + | 1.43317i | ||||
\(131\) | −14.0012 | −1.22329 | −0.611647 | − | 0.791131i | \(-0.709493\pi\) | ||||
−0.611647 | + | 0.791131i | \(0.709493\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.33375 | + | 9.33375i | −0.809338 | + | 0.809338i | ||||
\(134\) | 1.84624 | + | 5.76404i | 0.159491 | + | 0.497938i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.65685 | + | 7.58405i | −0.485071 | + | 0.650327i | ||||
\(137\) | 4.31776 | − | 4.31776i | 0.368891 | − | 0.368891i | −0.498182 | − | 0.867073i | \(-0.665999\pi\) |
0.867073 | + | 0.498182i | \(0.165999\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.2753i | 0.871538i | 0.900058 | + | 0.435769i | \(0.143524\pi\) | ||||
−0.900058 | + | 0.435769i | \(0.856476\pi\) | |||||||
\(140\) | 8.29214 | − | 3.99494i | 0.700814 | − | 0.337634i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.24410 | − | 4.24410i | −0.691829 | − | 0.356157i | ||||
\(143\) | −3.32166 | + | 3.32166i | −0.277772 | + | 0.277772i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.76266 | + | 5.33336i | 0.312472 | + | 0.442912i | ||||
\(146\) | −8.35631 | + | 2.67655i | −0.691574 | + | 0.221513i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.23767 | − | 7.41251i | 0.101736 | − | 0.609305i | ||||
\(149\) | 3.03780 | 0.248867 | 0.124433 | − | 0.992228i | \(-0.460289\pi\) | ||||
0.124433 | + | 0.992228i | \(0.460289\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.52994i | 0.450020i | 0.974356 | + | 0.225010i | \(0.0722415\pi\) | ||||
−0.974356 | + | 0.225010i | \(0.927758\pi\) | |||||||
\(152\) | 2.61274 | + | 17.9510i | 0.211921 | + | 1.45602i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.01151 | − | 0.644291i | 0.162092 | − | 0.0519185i | ||||
\(155\) | −10.4373 | + | 7.36346i | −0.838344 | + | 0.591447i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.36202 | − | 4.36202i | −0.348127 | − | 0.348127i | 0.511284 | − | 0.859412i | \(-0.329170\pi\) |
−0.859412 | + | 0.511284i | \(0.829170\pi\) | |||||||
\(158\) | 4.37075 | − | 8.49011i | 0.347718 | − | 0.675437i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.41254 | − | 12.4169i | 0.190728 | − | 0.981643i | ||||
\(161\) | −3.95241 | −0.311494 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.10371 | − | 9.10371i | −0.713058 | − | 0.713058i | 0.254116 | − | 0.967174i | \(-0.418215\pi\) |
−0.967174 | + | 0.254116i | \(0.918215\pi\) | |||||||
\(164\) | 1.19250 | + | 1.67054i | 0.0931187 | + | 0.130448i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.61335 | − | 0.837062i | 0.202835 | − | 0.0649686i | ||||
\(167\) | 15.2102 | + | 15.2102i | 1.17700 | + | 1.17700i | 0.980504 | + | 0.196497i | \(0.0629566\pi\) |
0.196497 | + | 0.980504i | \(0.437043\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 28.9048i | − | 2.22344i | ||||||
\(170\) | 6.37152 | − | 8.44399i | 0.488673 | − | 0.647624i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.44108 | + | 20.6090i | −0.262380 | + | 1.57142i | ||||
\(173\) | −5.23564 | + | 5.23564i | −0.398058 | + | 0.398058i | −0.877548 | − | 0.479489i | \(-0.840822\pi\) |
0.479489 | + | 0.877548i | \(0.340822\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.29554 | + | 4.41495i | −0.702677 | + | 0.333739i | ||||
\(176\) | 0.943030 | − | 2.74522i | 0.0710835 | − | 0.206929i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.82241 | − | 2.99741i | −0.436408 | − | 0.224665i | ||||
\(179\) | 16.3444i | 1.22164i | 0.791771 | + | 0.610819i | \(0.209160\pi\) | ||||
−0.791771 | + | 0.610819i | \(0.790840\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.33892i | 0.0995215i | 0.998761 | + | 0.0497608i | \(0.0158459\pi\) | ||||
−0.998761 | + | 0.0497608i | \(0.984154\pi\) | |||||||
\(182\) | −8.62413 | + | 16.7522i | −0.639263 | + | 1.24176i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.24752 | + | 4.35390i | −0.239411 | + | 0.320974i | ||||
\(185\) | −1.42973 | + | 8.27963i | −0.105116 | + | 0.608731i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.71646 | − | 1.71646i | 0.125520 | − | 0.125520i | ||||
\(188\) | −0.572242 | + | 3.42722i | −0.0417350 | + | 0.249955i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.80969 | − | 20.0857i | −0.203837 | − | 1.45717i | ||||
\(191\) | − | 18.5684i | − | 1.34356i | −0.740750 | − | 0.671780i | \(-0.765530\pi\) | ||
0.740750 | − | 0.671780i | \(-0.234470\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.10748 | + | 2.10748i | 0.151700 | + | 0.151700i | 0.778877 | − | 0.627177i | \(-0.215790\pi\) |
−0.627177 | + | 0.778877i | \(0.715790\pi\) | |||||||
\(194\) | 2.00090 | + | 6.24691i | 0.143656 | + | 0.448502i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.49934 | + | 3.21181i | −0.321381 | + | 0.229415i | ||||
\(197\) | 8.63291 | + | 8.63291i | 0.615069 | + | 0.615069i | 0.944263 | − | 0.329193i | \(-0.106777\pi\) |
−0.329193 | + | 0.944263i | \(0.606777\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.36127 | −0.167386 | −0.0836932 | − | 0.996492i | \(-0.526672\pi\) | ||||
−0.0836932 | + | 0.996492i | \(0.526672\pi\) | |||||||
\(200\) | −2.77431 | + | 13.8673i | −0.196174 | + | 0.980569i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 17.0740 | + | 8.78977i | 1.20132 | + | 0.618446i | ||||
\(203\) | 4.24808 | + | 4.24808i | 0.298157 | + | 0.298157i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.32287 | − | 1.87510i | −0.0923932 | − | 0.130962i | ||||
\(206\) | 4.82142 | + | 15.0527i | 0.335924 | + | 1.04877i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 11.3679 | + | 23.2647i | 0.788219 | + | 1.61312i | ||||
\(209\) | − | 4.65409i | − | 0.321930i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.38157 | −0.232797 | −0.116398 | − | 0.993203i | \(-0.537135\pi\) | ||||
−0.116398 | + | 0.993203i | \(0.537135\pi\) | |||||||
\(212\) | −26.4744 | − | 4.42043i | −1.81827 | − | 0.303596i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.81625 | + | 21.2807i | 0.465949 | + | 1.45472i | ||||
\(215\) | 3.97507 | − | 23.0199i | 0.271098 | − | 1.56994i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.31341 | + | 8.31341i | −0.564351 | + | 0.564351i | ||||
\(218\) | −8.05762 | + | 15.6518i | −0.545731 | + | 1.06007i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.07136 | + | 3.06335i | −0.0722309 | + | 0.206531i | ||||
\(221\) | 21.6542i | 1.45662i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.32012 | + | 9.32012i | −0.624122 | + | 0.624122i | −0.946583 | − | 0.322461i | \(-0.895490\pi\) |
0.322461 | + | 0.946583i | \(0.395490\pi\) | |||||||
\(224\) | 0.243432 | − | 11.6401i | 0.0162650 | − | 0.777735i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 17.9714 | − | 5.75630i | 1.19544 | − | 0.382903i | ||||
\(227\) | 14.9247 | − | 14.9247i | 0.990590 | − | 0.990590i | −0.00936616 | − | 0.999956i | \(-0.502981\pi\) |
0.999956 | + | 0.00936616i | \(0.00298138\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.5299 | −0.894082 | −0.447041 | − | 0.894514i | \(-0.647522\pi\) | ||||
−0.447041 | + | 0.894514i | \(0.647522\pi\) | |||||||
\(230\) | 3.65780 | − | 4.84758i | 0.241188 | − | 0.319640i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.17005 | − | 1.18914i | 0.536390 | − | 0.0780707i | ||||
\(233\) | −4.26526 | − | 4.26526i | −0.279426 | − | 0.279426i | 0.553454 | − | 0.832880i | \(-0.313310\pi\) |
−0.832880 | + | 0.553454i | \(0.813310\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.661043 | − | 3.82813i | 0.0431217 | − | 0.249720i | ||||
\(236\) | −10.4670 | + | 7.47176i | −0.681343 | + | 0.486370i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.45649 | − | 8.65667i | 0.288872 | − | 0.561129i | ||||
\(239\) | 2.73939 | 0.177196 | 0.0885981 | − | 0.996067i | \(-0.471761\pi\) | ||||
0.0885981 | + | 0.996067i | \(0.471761\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.4833 | −1.06178 | −0.530890 | − | 0.847440i | \(-0.678142\pi\) | ||||
−0.530890 | + | 0.847440i | \(0.678142\pi\) | |||||||
\(242\) | 6.77947 | − | 13.1690i | 0.435801 | − | 0.846537i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.92252 | + | 1.37237i | −0.123077 | + | 0.0878573i | ||||
\(245\) | 5.05027 | − | 3.56294i | 0.322650 | − | 0.227628i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 29.3570 | + | 29.3570i | 1.86794 | + | 1.86794i | ||||
\(248\) | 2.32712 | + | 15.9886i | 0.147772 | + | 1.01528i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.18778 | − | 15.4867i | 0.201613 | − | 0.979465i | ||||
\(251\) | 14.0488 | 0.886754 | 0.443377 | − | 0.896335i | \(-0.353780\pi\) | ||||
0.443377 | + | 0.896335i | \(0.353780\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.985396 | − | 0.985396i | 0.0619513 | − | 0.0619513i | ||||
\(254\) | 18.8250 | − | 6.02970i | 1.18119 | − | 0.378337i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.6224 | − | 9.83229i | −0.788903 | − | 0.614518i | ||||
\(257\) | −4.43264 | + | 4.43264i | −0.276501 | + | 0.276501i | −0.831710 | − | 0.555210i | \(-0.812638\pi\) |
0.555210 | + | 0.831710i | \(0.312638\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.73360i | 0.480543i | ||||||||
\(260\) | −12.5651 | − | 26.0809i | −0.779254 | − | 1.61747i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.06306 | − | 17.6049i | 0.559918 | − | 1.08763i | ||||
\(263\) | 19.3432 | − | 19.3432i | 1.19275 | − | 1.19275i | 0.216458 | − | 0.976292i | \(-0.430549\pi\) |
0.976292 | − | 0.216458i | \(-0.0694505\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 29.5714 | + | 5.10639i | 1.81656 | + | 0.313683i | ||||
\(266\) | −5.69428 | − | 17.7778i | −0.349138 | − | 1.09003i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −8.44266 | − | 1.40967i | −0.515717 | − | 0.0861093i | ||||
\(269\) | −24.0508 | −1.46640 | −0.733201 | − | 0.680012i | \(-0.761974\pi\) | ||||
−0.733201 | + | 0.680012i | \(0.761974\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 24.3905i | − | 1.48162i | −0.671716 | − | 0.740809i | \(-0.734442\pi\) | ||
0.671716 | − | 0.740809i | \(-0.265558\pi\) | |||||||
\(272\) | −5.87431 | − | 12.0220i | −0.356182 | − | 0.728940i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.63415 | + | 8.22396i | 0.159135 | + | 0.496827i | ||||
\(275\) | 1.21680 | − | 3.41823i | 0.0733761 | − | 0.206127i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.76755 | − | 6.76755i | −0.406623 | − | 0.406623i | 0.473936 | − | 0.880559i | \(-0.342833\pi\) |
−0.880559 | + | 0.473936i | \(0.842833\pi\) | |||||||
\(278\) | −12.9199 | − | 6.65123i | −0.774885 | − | 0.398914i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.344390 | + | 13.0123i | −0.0205812 | + | 0.777633i | ||||
\(281\) | −4.79740 | −0.286189 | −0.143094 | − | 0.989709i | \(-0.545705\pi\) | ||||
−0.143094 | + | 0.989709i | \(0.545705\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.57491 | − | 1.57491i | −0.0936188 | − | 0.0936188i | 0.658746 | − | 0.752365i | \(-0.271087\pi\) |
−0.752365 | + | 0.658746i | \(0.771087\pi\) | |||||||
\(284\) | 10.6729 | − | 7.61872i | 0.633318 | − | 0.452088i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.02646 | − | 6.32671i | −0.119827 | − | 0.374106i | ||||
\(287\) | −1.49353 | − | 1.49353i | −0.0881604 | − | 0.0881604i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.81028i | 0.341781i | ||||||||
\(290\) | −9.14163 | + | 1.27878i | −0.536815 | + | 0.0750925i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.04364 | − | 12.2396i | 0.119595 | − | 0.716267i | ||||
\(293\) | −16.8458 | + | 16.8458i | −0.984141 | + | 0.984141i | −0.999876 | − | 0.0157353i | \(-0.994991\pi\) |
0.0157353 | + | 0.999876i | \(0.494991\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.7486 | − | 8.28861i | 0.684032 | − | 0.482581i | ||||
\(296\) | 8.51918 | + | 6.35436i | 0.495167 | + | 0.369340i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.96638 | + | 3.81967i | −0.113909 | + | 0.221267i | ||||
\(299\) | 12.4314i | 0.718924i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 21.5017i | − | 1.23934i | ||||||
\(302\) | −6.95323 | − | 3.57955i | −0.400113 | − | 0.205980i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −24.2624 | − | 8.33454i | −1.39154 | − | 0.478019i | ||||
\(305\) | 2.15793 | − | 1.52241i | 0.123563 | − | 0.0871728i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.5999 | − | 13.5999i | 0.776185 | − | 0.776185i | −0.202994 | − | 0.979180i | \(-0.565067\pi\) |
0.979180 | + | 0.202994i | \(0.0650673\pi\) | |||||||
\(308\) | −0.491940 | + | 2.94628i | −0.0280309 | + | 0.167880i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.50255 | − | 17.8900i | −0.142135 | − | 1.01608i | ||||
\(311\) | − | 6.98730i | − | 0.396213i | −0.980180 | − | 0.198107i | \(-0.936521\pi\) | ||
0.980180 | − | 0.198107i | \(-0.0634792\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.3659 | + | 13.3659i | 0.755486 | + | 0.755486i | 0.975497 | − | 0.220011i | \(-0.0706093\pi\) |
−0.220011 | + | 0.975497i | \(0.570609\pi\) | |||||||
\(314\) | 8.30826 | − | 2.66115i | 0.468862 | − | 0.150178i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.84607 | + | 10.9914i | 0.441376 | + | 0.618312i | ||||
\(317\) | −2.24312 | − | 2.24312i | −0.125986 | − | 0.125986i | 0.641302 | − | 0.767288i | \(-0.278395\pi\) |
−0.767288 | + | 0.641302i | \(0.778395\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.11822 | −0.118597 | ||||||||
\(320\) | 14.0511 | + | 11.0710i | 0.785480 | + | 0.618887i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.55841 | − | 4.96968i | 0.142575 | − | 0.276949i | ||||
\(323\) | −15.1702 | − | 15.1702i | −0.844090 | − | 0.844090i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.8861 | + | 29.2369i | 0.770265 | + | 1.62177i | ||||
\(326\) | 17.3397 | − | 5.55394i | 0.960355 | − | 0.307604i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.87241 | + | 0.418075i | −0.158603 | + | 0.0230843i | ||||
\(329\) | − | 3.57567i | − | 0.197133i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.360999 | −0.0198423 | −0.00992116 | − | 0.999951i | \(-0.503158\pi\) | ||||
−0.00992116 | + | 0.999951i | \(0.503158\pi\) | |||||||
\(332\) | −0.639127 | + | 3.82780i | −0.0350767 | + | 0.210078i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −28.9706 | + | 9.27935i | −1.58520 | + | 0.507744i | ||||
\(335\) | 9.43028 | + | 1.62842i | 0.515231 | + | 0.0889702i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.546946 | + | 0.546946i | −0.0297941 | + | 0.0297941i | −0.721847 | − | 0.692053i | \(-0.756707\pi\) |
0.692053 | + | 0.721847i | \(0.256707\pi\) | |||||||
\(338\) | 36.3442 | + | 18.7102i | 1.97686 | + | 1.01770i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 6.49297 | + | 13.4772i | 0.352131 | + | 0.730905i | ||||
\(341\) | − | 4.14532i | − | 0.224482i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.2099 | − | 14.2099i | 0.767261 | − | 0.767261i | ||||
\(344\) | −23.6859 | − | 17.6670i | −1.27706 | − | 0.952542i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.19413 | − | 9.97223i | −0.171717 | − | 0.536110i | ||||
\(347\) | −11.5591 | + | 11.5591i | −0.620526 | + | 0.620526i | −0.945666 | − | 0.325140i | \(-0.894589\pi\) |
0.325140 | + | 0.945666i | \(0.394589\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.5842 | 0.566562 | 0.283281 | − | 0.959037i | \(-0.408577\pi\) | ||||
0.283281 | + | 0.959037i | \(0.408577\pi\) | |||||||
\(350\) | 0.465778 | − | 14.5458i | 0.0248969 | − | 0.777507i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.84135 | + | 2.96274i | 0.151445 | + | 0.157914i | ||||
\(353\) | 16.2334 | + | 16.2334i | 0.864016 | + | 0.864016i | 0.991802 | − | 0.127785i | \(-0.0407869\pi\) |
−0.127785 | + | 0.991802i | \(0.540787\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −11.9797 | + | 8.45163i | −0.635818 | + | 0.448566i | ||||
\(356\) | 7.53774 | − | 5.38074i | 0.399499 | − | 0.285179i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −20.5511 | − | 10.5798i | −1.08616 | − | 0.559159i | ||||
\(359\) | 6.79961 | 0.358869 | 0.179435 | − | 0.983770i | \(-0.442573\pi\) | ||||
0.179435 | + | 0.983770i | \(0.442573\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −22.1330 | −1.16490 | ||||||||
\(362\) | −1.68353 | − | 0.866691i | −0.0884846 | − | 0.0455523i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −15.4815 | − | 21.6876i | −0.811449 | − | 1.13674i | ||||
\(365\) | −2.36078 | + | 13.6714i | −0.123569 | + | 0.715592i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.23043 | − | 3.23043i | −0.168627 | − | 0.168627i | 0.617748 | − | 0.786376i | \(-0.288045\pi\) |
−0.786376 | + | 0.617748i | \(0.788045\pi\) | |||||||
\(368\) | −3.37236 | − | 6.90166i | −0.175796 | − | 0.359774i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.48515 | − | 7.15714i | −0.493110 | − | 0.372082i | ||||
\(371\) | 27.6212 | 1.43402 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.12448 | + | 2.12448i | −0.110001 | + | 0.110001i | −0.759965 | − | 0.649964i | \(-0.774784\pi\) |
0.649964 | + | 0.759965i | \(0.274784\pi\) | |||||||
\(374\) | 1.04717 | + | 3.26931i | 0.0541477 | + | 0.169052i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.93889 | − | 2.93797i | −0.203133 | − | 0.151514i | ||||
\(377\) | 13.3613 | − | 13.3613i | 0.688142 | − | 0.688142i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 19.0820i | 0.980175i | 0.871673 | + | 0.490087i | \(0.163035\pi\) | ||||
−0.871673 | + | 0.490087i | \(0.836965\pi\) | |||||||
\(380\) | 27.0740 | + | 9.46871i | 1.38887 | + | 0.485734i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 23.3475 | + | 12.0194i | 1.19456 | + | 0.614965i | ||||
\(383\) | −2.96986 | + | 2.96986i | −0.151753 | + | 0.151753i | −0.778900 | − | 0.627148i | \(-0.784222\pi\) |
0.627148 | + | 0.778900i | \(0.284222\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.568279 | − | 3.29094i | 0.0289622 | − | 0.167722i | ||||
\(386\) | −4.01409 | + | 1.28572i | −0.204312 | + | 0.0654415i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.14991 | − | 1.52776i | −0.464516 | − | 0.0775603i | ||||
\(389\) | −0.831983 | −0.0421832 | −0.0210916 | − | 0.999778i | \(-0.506714\pi\) | ||||
−0.0210916 | + | 0.999778i | \(0.506714\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 6.42387i | − | 0.324869i | ||||||
\(392\) | −1.12602 | − | 7.73638i | −0.0568725 | − | 0.390746i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −16.4429 | + | 5.26671i | −0.828383 | + | 0.265333i | ||||
\(395\) | −8.70384 | − | 12.3372i | −0.437938 | − | 0.620752i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.7504 | + | 11.7504i | 0.589736 | + | 0.589736i | 0.937560 | − | 0.347824i | \(-0.113079\pi\) |
−0.347824 | + | 0.937560i | \(0.613079\pi\) | |||||||
\(398\) | 1.52846 | − | 2.96901i | 0.0766149 | − | 0.148823i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −15.6407 | − | 12.4647i | −0.782033 | − | 0.623237i | ||||
\(401\) | −27.1058 | −1.35360 | −0.676799 | − | 0.736168i | \(-0.736633\pi\) | ||||
−0.676799 | + | 0.736168i | \(0.736633\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 26.1478 | + | 26.1478i | 1.30252 | + | 1.30252i | ||||
\(404\) | −22.1041 | + | 15.7788i | −1.09972 | + | 0.785025i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.09123 | + | 2.59164i | −0.401561 | + | 0.128621i | ||||
\(407\) | −1.92810 | − | 1.92810i | −0.0955725 | − | 0.0955725i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 13.2732i | − | 0.656319i | −0.944622 | − | 0.328159i | \(-0.893572\pi\) | ||
0.944622 | − | 0.328159i | \(-0.106428\pi\) | |||||||
\(410\) | 3.21400 | − | 0.449591i | 0.158728 | − | 0.0222037i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −22.0478 | − | 3.68133i | −1.08622 | − | 0.181366i | ||||
\(413\) | 9.35791 | − | 9.35791i | 0.460473 | − | 0.460473i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.738307 | − | 4.27558i | 0.0362421 | − | 0.209880i | ||||
\(416\) | −36.6110 | − | 0.765655i | −1.79500 | − | 0.0375393i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.85194 | + | 3.01261i | 0.286228 | + | 0.147351i | ||||
\(419\) | 24.3069i | 1.18747i | 0.804662 | + | 0.593734i | \(0.202347\pi\) | ||||
−0.804662 | + | 0.593734i | \(0.797653\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.60486i | 0.0782162i | 0.999235 | + | 0.0391081i | \(0.0124517\pi\) | ||||
−0.999235 | + | 0.0391081i | \(0.987548\pi\) | |||||||
\(422\) | 2.18890 | − | 4.25191i | 0.106554 | − | 0.206980i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 22.6951 | − | 30.4270i | 1.10217 | − | 1.47766i | ||||
\(425\) | −7.17563 | − | 15.1081i | −0.348069 | − | 0.732848i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.71881 | − | 1.71881i | 0.0831792 | − | 0.0831792i | ||||
\(428\) | −31.1700 | − | 5.20445i | −1.50666 | − | 0.251567i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 26.3716 | + | 19.8990i | 1.27175 | + | 0.959615i | ||||
\(431\) | 16.0008i | 0.770733i | 0.922764 | + | 0.385367i | \(0.125925\pi\) | ||||
−0.922764 | + | 0.385367i | \(0.874075\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −17.6673 | − | 17.6673i | −0.849037 | − | 0.849037i | 0.140976 | − | 0.990013i | \(-0.454976\pi\) |
−0.990013 | + | 0.140976i | \(0.954976\pi\) | |||||||
\(434\) | −5.07180 | − | 15.8344i | −0.243454 | − | 0.760076i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −14.4645 | − | 20.2629i | −0.692724 | − | 0.970419i | ||||
\(437\) | −8.70898 | − | 8.70898i | −0.416607 | − | 0.416607i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 34.5085 | 1.64700 | 0.823500 | − | 0.567316i | \(-0.192018\pi\) | ||||
0.823500 | + | 0.567316i | \(0.192018\pi\) | |||||||
\(440\) | −3.15830 | − | 3.33002i | −0.150566 | − | 0.158752i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −27.2275 | − | 14.0168i | −1.29508 | − | 0.666712i | ||||
\(443\) | 2.03044 | + | 2.03044i | 0.0964691 | + | 0.0964691i | 0.753694 | − | 0.657225i | \(-0.228270\pi\) |
−0.657225 | + | 0.753694i | \(0.728270\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.46071 | + | 5.96899i | −0.401076 | + | 0.282957i | ||||
\(446\) | −5.68596 | − | 17.7519i | −0.269238 | − | 0.840575i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 14.4784 | + | 7.84075i | 0.684040 | + | 0.370440i | ||||
\(449\) | − | 19.7303i | − | 0.931129i | −0.885014 | − | 0.465565i | \(-0.845851\pi\) | ||
0.885014 | − | 0.465565i | \(-0.154149\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.744720 | 0.0350675 | ||||||||
\(452\) | −4.39514 | + | 26.3230i | −0.206730 | + | 1.23813i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.10520 | + | 28.4269i | 0.427328 | + | 1.33414i | ||||
\(455\) | 17.1740 | + | 24.3431i | 0.805128 | + | 1.14122i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −22.2146 | + | 22.2146i | −1.03915 | + | 1.03915i | −0.0399513 | + | 0.999202i | \(0.512720\pi\) |
−0.999202 | + | 0.0399513i | \(0.987280\pi\) | |||||||
\(458\) | 8.75796 | − | 17.0122i | 0.409233 | − | 0.794928i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.72753 | + | 7.73709i | 0.173797 | + | 0.360744i | ||||
\(461\) | − | 20.6988i | − | 0.964039i | −0.876161 | − | 0.482019i | \(-0.839904\pi\) | ||
0.876161 | − | 0.482019i | \(-0.160096\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.67502 | + | 5.67502i | −0.263741 | + | 0.263741i | −0.826572 | − | 0.562831i | \(-0.809712\pi\) |
0.562831 | + | 0.826572i | \(0.309712\pi\) | |||||||
\(464\) | −3.79331 | + | 11.0426i | −0.176100 | + | 0.512638i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 8.12395 | − | 2.60212i | 0.376335 | − | 0.120541i | ||||
\(467\) | −3.78863 | + | 3.78863i | −0.175317 | + | 0.175317i | −0.789311 | − | 0.613994i | \(-0.789562\pi\) |
0.613994 | + | 0.789311i | \(0.289562\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.80837 | 0.406733 | ||||||||
\(470\) | 4.38551 | + | 3.30914i | 0.202289 | + | 0.152639i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.61950 | − | 17.9975i | −0.120572 | − | 0.828400i | ||||
\(473\) | 5.36071 | + | 5.36071i | 0.246485 | + | 0.246485i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −30.2105 | − | 10.7542i | −1.38615 | − | 0.493435i | ||||
\(476\) | 8.00000 | + | 11.2070i | 0.366679 | + | 0.513672i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.77321 | + | 3.44444i | −0.0811050 | + | 0.157545i | ||||
\(479\) | −11.8931 | −0.543409 | −0.271705 | − | 0.962381i | \(-0.587587\pi\) | ||||
−0.271705 | + | 0.962381i | \(0.587587\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 24.3242 | 1.10909 | ||||||||
\(482\) | 10.6697 | − | 20.7257i | 0.485991 | − | 0.944030i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 12.1701 | + | 17.0487i | 0.553184 | + | 0.774941i | ||||
\(485\) | 10.2203 | + | 1.76484i | 0.464079 | + | 0.0801372i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −22.1137 | − | 22.1137i | −1.00207 | − | 1.00207i | −0.999998 | − | 0.00207135i | \(-0.999341\pi\) |
−0.00207135 | − | 0.999998i | \(-0.500659\pi\) | |||||||
\(488\) | −0.481137 | − | 3.30568i | −0.0217800 | − | 0.149641i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.21090 | + | 8.65639i | 0.0547030 | + | 0.391056i | ||||
\(491\) | −17.8731 | −0.806600 | −0.403300 | − | 0.915068i | \(-0.632137\pi\) | ||||
−0.403300 | + | 0.915068i | \(0.632137\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.90441 | + | 6.90441i | −0.310959 | + | 0.310959i | ||||
\(494\) | −55.9158 | + | 17.9100i | −2.51577 | + | 0.805807i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −21.6101 | − | 7.42344i | −0.970323 | − | 0.333322i | ||||
\(497\) | −9.54197 | + | 9.54197i | −0.428016 | + | 0.428016i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.6090i | 0.474923i | 0.971397 | + | 0.237461i | \(0.0763153\pi\) | ||||
−0.971397 | + | 0.237461i | \(0.923685\pi\) | |||||||
\(500\) | 17.4092 | + | 14.0328i | 0.778562 | + | 0.627568i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.09386 | + | 17.6647i | −0.405879 | + | 0.788414i | ||||
\(503\) | 8.19221 | − | 8.19221i | 0.365273 | − | 0.365273i | −0.500477 | − | 0.865750i | \(-0.666842\pi\) |
0.865750 | + | 0.500477i | \(0.166842\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.8107 | − | 17.5038i | 1.10406 | − | 0.778909i | ||||
\(506\) | 0.601165 | + | 1.87687i | 0.0267250 | + | 0.0834369i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.60389 | + | 27.5732i | −0.204265 | + | 1.22336i | ||||
\(509\) | 35.0769 | 1.55476 | 0.777379 | − | 0.629033i | \(-0.216549\pi\) | ||||
0.777379 | + | 0.629033i | \(0.216549\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 12.7698i | 0.564902i | ||||||||
\(512\) | 20.5335 | − | 9.50670i | 0.907459 | − | 0.420141i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.70424 | − | 8.44277i | −0.119279 | − | 0.372395i | ||||
\(515\) | 24.6270 | + | 4.25260i | 1.08520 | + | 0.187392i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.891469 | + | 0.891469i | 0.0392068 | + | 0.0392068i | ||||
\(518\) | −9.72406 | − | 5.00599i | −0.427251 | − | 0.219951i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 40.9270 | + | 1.08320i | 1.79477 | + | 0.0475012i | ||||
\(521\) | 13.5092 | 0.591848 | 0.295924 | − | 0.955211i | \(-0.404372\pi\) | ||||
0.295924 | + | 0.955211i | \(0.404372\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.12911 | + | 3.12911i | 0.136827 | + | 0.136827i | 0.772203 | − | 0.635376i | \(-0.219155\pi\) |
−0.635376 | + | 0.772203i | \(0.719155\pi\) | |||||||
\(524\) | 16.2694 | + | 22.7914i | 0.710732 | + | 0.995646i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 11.8008 | + | 36.8425i | 0.514537 | + | 1.60641i | ||||
\(527\) | −13.5118 | − | 13.5118i | −0.588583 | − | 0.588583i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.3121i | 0.839659i | ||||||||
\(530\) | −25.5623 | + | 33.8770i | −1.11036 | + | 1.47152i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 26.0393 | + | 4.34779i | 1.12895 | + | 0.188500i | ||||
\(533\) | −4.69754 | + | 4.69754i | −0.203473 | + | 0.203473i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 34.8163 | + | 6.01208i | 1.50524 | + | 0.259925i | ||||
\(536\) | 7.23745 | − | 9.70312i | 0.312610 | − | 0.419111i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 15.5681 | − | 30.2409i | 0.671191 | − | 1.30378i | ||||
\(539\) | 2.00578i | 0.0863952i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 39.9149i | 1.71608i | 0.513585 | + | 0.858038i | \(0.328317\pi\) | ||||
−0.513585 | + | 0.858038i | \(0.671683\pi\) | |||||||
\(542\) | 30.6681 | + | 15.7881i | 1.31731 | + | 0.678155i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 18.9186 | + | 0.395650i | 0.811130 | + | 0.0169633i | ||||
\(545\) | 16.0458 | + | 22.7441i | 0.687327 | + | 0.974249i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.0087 | − | 24.0087i | 1.02654 | − | 1.02654i | 0.0269017 | − | 0.999638i | \(-0.491436\pi\) |
0.999638 | − | 0.0269017i | \(-0.00856410\pi\) | |||||||
\(548\) | −12.0457 | − | 2.01127i | −0.514567 | − | 0.0859173i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.51036 | + | 3.74262i | 0.149682 | + | 0.159586i | ||||
\(551\) | 18.7209i | 0.797538i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.82671 | − | 9.82671i | −0.417874 | − | 0.417874i | ||||
\(554\) | 12.8900 | − | 4.12871i | 0.547645 | − | 0.175412i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 16.7262 | − | 11.9398i | 0.709349 | − | 0.506362i | ||||
\(557\) | 5.38621 | + | 5.38621i | 0.228221 | + | 0.228221i | 0.811949 | − | 0.583728i | \(-0.198407\pi\) |
−0.583728 | + | 0.811949i | \(0.698407\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −67.6285 | −2.86038 | ||||||||
\(560\) | −16.1384 | − | 8.85593i | −0.681973 | − | 0.374231i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.10537 | − | 6.03214i | 0.130992 | − | 0.254451i | ||||
\(563\) | −11.0962 | − | 11.0962i | −0.467648 | − | 0.467648i | 0.433504 | − | 0.901152i | \(-0.357277\pi\) |
−0.901152 | + | 0.433504i | \(0.857277\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.07718 | − | 29.4022i | 0.213599 | − | 1.23696i | ||||
\(566\) | 2.99971 | − | 0.960813i | 0.126087 | − | 0.0403860i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.67103 | + | 18.3515i | 0.112074 | + | 0.770010i | ||||
\(569\) | 13.7723i | 0.577366i | 0.957425 | + | 0.288683i | \(0.0932173\pi\) | ||||
−0.957425 | + | 0.288683i | \(0.906783\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.65223 | −0.110992 | −0.0554962 | − | 0.998459i | \(-0.517674\pi\) | ||||
−0.0554962 | + | 0.998459i | \(0.517674\pi\) | |||||||
\(572\) | 9.26680 | + | 1.54728i | 0.387464 | + | 0.0646949i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.84470 | − | 0.911165i | 0.118736 | − | 0.0380313i | ||||
\(575\) | −4.11943 | − | 8.67333i | −0.171792 | − | 0.361703i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.4206 | + | 15.4206i | −0.641968 | + | 0.641968i | −0.951039 | − | 0.309071i | \(-0.899982\pi\) |
0.309071 | + | 0.951039i | \(0.399982\pi\) | |||||||
\(578\) | −7.30571 | − | 3.76101i | −0.303878 | − | 0.156438i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.30950 | − | 12.3222i | 0.178942 | − | 0.511653i | ||||
\(581\) | − | 3.99361i | − | 0.165683i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.88638 | + | 6.88638i | −0.285205 | + | 0.285205i | ||||
\(584\) | 14.0669 | + | 10.4924i | 0.582093 | + | 0.434177i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −10.2772 | − | 32.0858i | −0.424546 | − | 1.32545i | ||||
\(587\) | −24.4859 | + | 24.4859i | −1.01064 | + | 1.01064i | −0.0107002 | + | 0.999943i | \(0.503406\pi\) |
−0.999943 | + | 0.0107002i | \(0.996594\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −36.6365 | −1.50958 | ||||||||
\(590\) | 2.81697 | + | 20.1377i | 0.115973 | + | 0.829057i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −13.5043 | + | 6.59862i | −0.555024 | + | 0.271202i | ||||
\(593\) | 29.7519 | + | 29.7519i | 1.22176 | + | 1.22176i | 0.967005 | + | 0.254759i | \(0.0819961\pi\) |
0.254759 | + | 0.967005i | \(0.418004\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.87459 | − | 12.5792i | −0.363823 | − | 0.515699i | ||||
\(596\) | −3.52992 | − | 4.94497i | −0.144591 | − | 0.202554i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −15.6309 | − | 8.04686i | −0.639195 | − | 0.329061i | ||||
\(599\) | 2.67797 | 0.109419 | 0.0547094 | − | 0.998502i | \(-0.482577\pi\) | ||||
0.0547094 | + | 0.998502i | \(0.482577\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.2758 | 0.582321 | 0.291161 | − | 0.956674i | \(-0.405959\pi\) | ||||
0.291161 | + | 0.956674i | \(0.405959\pi\) | |||||||
\(602\) | 27.0358 | + | 13.9182i | 1.10190 | + | 0.567262i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 9.00170 | − | 6.42577i | 0.366274 | − | 0.261461i | ||||
\(605\) | −13.5005 | − | 19.1363i | −0.548875 | − | 0.778000i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.79670 | + | 4.79670i | 0.194692 | + | 0.194692i | 0.797720 | − | 0.603028i | \(-0.206039\pi\) |
−0.603028 | + | 0.797720i | \(0.706039\pi\) | |||||||
\(608\) | 26.1848 | − | 25.1120i | 1.06193 | − | 1.01843i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.517406 | + | 3.69879i | 0.0209492 | + | 0.149760i | ||||
\(611\) | −11.2464 | −0.454981 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.18940 | − | 8.18940i | 0.330767 | − | 0.330767i | −0.522111 | − | 0.852878i | \(-0.674855\pi\) |
0.852878 | + | 0.522111i | \(0.174855\pi\) | |||||||
\(614\) | 8.29692 | + | 25.9034i | 0.334837 | + | 1.04538i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.38615 | − | 2.52569i | −0.136432 | − | 0.101763i | ||||
\(617\) | −19.8311 | + | 19.8311i | −0.798368 | + | 0.798368i | −0.982838 | − | 0.184470i | \(-0.940943\pi\) |
0.184470 | + | 0.982838i | \(0.440943\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 14.8818i | − | 0.598149i | −0.954230 | − | 0.299075i | \(-0.903322\pi\) | ||
0.954230 | − | 0.299075i | \(-0.0966780\pi\) | |||||||
\(620\) | 24.1144 | + | 8.43362i | 0.968458 | + | 0.338702i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.78567 | + | 4.52290i | 0.352273 | + | 0.181352i | ||||
\(623\) | −6.73904 | + | 6.73904i | −0.269994 | + | 0.269994i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.3767 | − | 15.7970i | −0.775067 | − | 0.631879i | ||||
\(626\) | −25.4578 | + | 8.15420i | −1.01750 | + | 0.325907i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.03189 | + | 12.1692i | −0.0810812 | + | 0.485604i | ||||
\(629\) | −12.5694 | −0.501176 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.6770i | 1.02218i | 0.859526 | + | 0.511092i | \(0.170759\pi\) | ||||
−0.859526 | + | 0.511092i | \(0.829241\pi\) | |||||||
\(632\) | −18.8991 | + | 2.75073i | −0.751765 | + | 0.109418i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.27243 | − | 1.36847i | 0.169680 | − | 0.0543489i | ||||
\(635\) | 5.31833 | − | 30.7987i | 0.211051 | − | 1.22221i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.6521 | − | 12.6521i | −0.501293 | − | 0.501293i | ||||
\(638\) | 1.37113 | − | 2.66340i | 0.0542836 | − | 0.105445i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −23.0157 | + | 10.5012i | −0.909777 | + | 0.415098i | ||||
\(641\) | −21.1942 | −0.837122 | −0.418561 | − | 0.908189i | \(-0.637465\pi\) | ||||
−0.418561 | + | 0.908189i | \(0.637465\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.5857 | − | 21.5857i | −0.851256 | − | 0.851256i | 0.139032 | − | 0.990288i | \(-0.455601\pi\) |
−0.990288 | + | 0.139032i | \(0.955601\pi\) | |||||||
\(644\) | 4.59269 | + | 6.43378i | 0.180977 | + | 0.253526i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 28.8943 | − | 9.25491i | 1.13683 | − | 0.364130i | ||||
\(647\) | 4.64626 | + | 4.64626i | 0.182663 | + | 0.182663i | 0.792515 | − | 0.609852i | \(-0.208771\pi\) |
−0.609852 | + | 0.792515i | \(0.708771\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.66614i | 0.183162i | ||||||||
\(650\) | −45.7503 | − | 1.46499i | −1.79448 | − | 0.0574617i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.24063 | + | 25.3976i | −0.166076 | + | 0.994646i | ||||
\(653\) | 5.98212 | − | 5.98212i | 0.234098 | − | 0.234098i | −0.580303 | − | 0.814401i | \(-0.697066\pi\) |
0.814401 | + | 0.580303i | \(0.197066\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.0480 | − | 25.5821i | −0.705195 | − | 0.999575i | ||||
\(656\) | 1.33365 | − | 3.88233i | 0.0520701 | − | 0.151580i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.49597 | + | 2.31455i | 0.175271 | + | 0.0902304i | ||||
\(659\) | − | 41.9465i | − | 1.63400i | −0.576635 | − | 0.817002i | \(-0.695635\pi\) | ||
0.576635 | − | 0.817002i | \(-0.304365\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 49.8515i | − | 1.93900i | −0.245095 | − | 0.969499i | \(-0.578819\pi\) | ||
0.245095 | − | 0.969499i | \(-0.421181\pi\) | |||||||
\(662\) | 0.233676 | − | 0.453913i | 0.00908208 | − | 0.0176418i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.39928 | − | 3.28137i | −0.170725 | − | 0.127342i | ||||
\(665\) | −29.0854 | − | 5.02248i | −1.12789 | − | 0.194763i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.96373 | + | 3.96373i | −0.153476 | + | 0.153476i | ||||
\(668\) | 7.08512 | − | 42.4335i | 0.274132 | − | 1.64180i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −8.15180 | + | 10.8033i | −0.314931 | + | 0.417370i | ||||
\(671\) | 0.857052i | 0.0330861i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.3656 | + | 14.3656i | 0.553754 | + | 0.553754i | 0.927522 | − | 0.373768i | \(-0.121934\pi\) |
−0.373768 | + | 0.927522i | \(0.621934\pi\) | |||||||
\(674\) | −0.333678 | − | 1.04176i | −0.0128528 | − | 0.0401270i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −47.0515 | + | 33.5872i | −1.80967 | + | 1.29182i | ||||
\(677\) | 1.59459 | + | 1.59459i | 0.0612852 | + | 0.0612852i | 0.737085 | − | 0.675800i | \(-0.236202\pi\) |
−0.675800 | + | 0.737085i | \(0.736202\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.54627 | 0.366352 | ||||||||
\(680\) | −21.1489 | − | 0.559738i | −0.811023 | − | 0.0214650i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.21223 | + | 2.68328i | 0.199587 | + | 0.102748i | ||||
\(683\) | 3.56279 | + | 3.56279i | 0.136326 | + | 0.136326i | 0.771977 | − | 0.635651i | \(-0.219268\pi\) |
−0.635651 | + | 0.771977i | \(0.719268\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.4548 | + | 2.32338i | 0.514083 | + | 0.0887719i | ||||
\(686\) | 8.66908 | + | 27.0653i | 0.330987 | + | 1.03336i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 37.5461 | − | 18.3461i | 1.43143 | − | 0.699440i | ||||
\(689\) | − | 86.8758i | − | 3.30970i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.67883 | 0.216033 | 0.108016 | − | 0.994149i | \(-0.465550\pi\) | ||||
0.108016 | + | 0.994149i | \(0.465550\pi\) | |||||||
\(692\) | 14.6064 | + | 2.43883i | 0.555253 | + | 0.0927105i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.05192 | − | 22.0164i | −0.267687 | − | 0.835732i | ||||
\(695\) | −18.7743 | + | 13.2452i | −0.712149 | + | 0.502417i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.42744 | − | 2.42744i | 0.0919459 | − | 0.0919459i | ||||
\(698\) | −6.85122 | + | 13.3084i | −0.259323 | + | 0.503730i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 17.9881 | + | 10.0012i | 0.679886 | + | 0.378011i | ||||
\(701\) | 14.1700i | 0.535194i | 0.963531 | + | 0.267597i | \(0.0862296\pi\) | ||||
−0.963531 | + | 0.267597i | \(0.913770\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.0407 | + | 17.0407i | −0.642701 | + | 0.642701i | ||||
\(704\) | −5.56450 | + | 1.65486i | −0.209720 | + | 0.0623700i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −30.9194 | + | 9.90357i | −1.16367 | + | 0.372726i | ||||
\(707\) | 19.7620 | − | 19.7620i | 0.743225 | − | 0.743225i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.5473 | 0.546337 | 0.273168 | − | 0.961966i | \(-0.411928\pi\) | ||||
0.273168 | + | 0.961966i | \(0.411928\pi\) | |||||||
\(710\) | −2.87238 | − | 20.5338i | −0.107798 | − | 0.770620i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.88642 | + | 12.9608i | 0.0706965 | + | 0.485725i | ||||
\(713\) | −7.75694 | − | 7.75694i | −0.290500 | − | 0.290500i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.3508 | − | 1.78738i | −0.387099 | − | 0.0668444i | ||||
\(716\) | 26.6056 | − | 18.9921i | 0.994297 | − | 0.709769i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.40141 | + | 8.54967i | −0.164259 | + | 0.319071i | ||||
\(719\) | −41.3534 | −1.54222 | −0.771110 | − | 0.636702i | \(-0.780298\pi\) | ||||
−0.771110 | + | 0.636702i | \(0.780298\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.0029 | 0.856673 | ||||||||
\(722\) | 14.3268 | − | 27.8296i | 0.533188 | − | 1.03571i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.17952 | − | 1.55583i | 0.0810010 | − | 0.0578218i | ||||
\(725\) | −4.89456 | + | 13.7497i | −0.181779 | + | 0.510652i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.1262 | + | 17.1262i | 0.635177 | + | 0.635177i | 0.949362 | − | 0.314185i | \(-0.101731\pi\) |
−0.314185 | + | 0.949362i | \(0.601731\pi\) | |||||||
\(728\) | 37.2907 | − | 5.42760i | 1.38208 | − | 0.201160i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −15.6619 | − | 11.8179i | −0.579674 | − | 0.437401i | ||||
\(731\) | 34.9468 | 1.29255 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.8014 | − | 10.8014i | 0.398958 | − | 0.398958i | −0.478907 | − | 0.877865i | \(-0.658967\pi\) |
0.877865 | + | 0.478907i | \(0.158967\pi\) | |||||||
\(734\) | 6.15295 | − | 1.97080i | 0.227109 | − | 0.0727437i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.8609 | + | 0.227137i | 0.400339 | + | 0.00837239i | ||||
\(737\) | −2.19606 | + | 2.19606i | −0.0808929 | + | 0.0808929i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 28.4640i | − | 1.04707i | −0.852006 | − | 0.523533i | \(-0.824614\pi\) | ||
0.852006 | − | 0.523533i | \(-0.175386\pi\) | |||||||
\(740\) | 15.1390 | − | 7.29357i | 0.556521 | − | 0.268117i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −17.8793 | + | 34.7303i | −0.656370 | + | 1.27499i | ||||
\(743\) | −37.4663 | + | 37.4663i | −1.37451 | + | 1.37451i | −0.520873 | + | 0.853634i | \(0.674393\pi\) |
−0.853634 | + | 0.520873i | \(0.825607\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.91582 | + | 5.55046i | 0.143465 | + | 0.203353i | ||||
\(746\) | −1.29609 | − | 4.04645i | −0.0474531 | − | 0.148151i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4.78859 | − | 0.799550i | −0.175088 | − | 0.0292345i | ||||
\(749\) | 32.5202 | 1.18826 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 33.7409i | 1.23122i | 0.788050 | + | 0.615611i | \(0.211091\pi\) | ||||
−0.788050 | + | 0.615611i | \(0.788909\pi\) | |||||||
\(752\) | 6.24380 | − | 3.05091i | 0.227688 | − | 0.111255i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 8.15138 | + | 25.4490i | 0.296856 | + | 0.926798i | ||||
\(755\) | −10.1039 | + | 7.12826i | −0.367719 | + | 0.259424i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.61554 | − | 3.61554i | −0.131409 | − | 0.131409i | 0.638343 | − | 0.769752i | \(-0.279620\pi\) |
−0.769752 | + | 0.638343i | \(0.779620\pi\) | |||||||
\(758\) | −23.9932 | − | 12.3518i | −0.871473 | − | 0.448638i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −29.4309 | + | 27.9132i | −1.06757 | + | 1.01252i | ||||
\(761\) | 53.5331 | 1.94057 | 0.970286 | − | 0.241959i | \(-0.0777901\pi\) | ||||
0.970286 | + | 0.241959i | \(0.0777901\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 18.1159 | + | 18.1159i | 0.655839 | + | 0.655839i | ||||
\(764\) | −30.2258 | + | 21.5764i | −1.09353 | + | 0.780606i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.81184 | − | 5.65664i | −0.0654643 | − | 0.204383i | ||||
\(767\) | −29.4330 | − | 29.4330i | −1.06277 | − | 1.06277i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 0.470664i | − | 0.0169726i | −0.999964 | − | 0.00848630i | \(-0.997299\pi\) | ||
0.999964 | − | 0.00848630i | \(-0.00270130\pi\) | |||||||
\(770\) | 3.77010 | + | 2.84478i | 0.135865 | + | 0.102519i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.981695 | − | 5.87947i | 0.0353320 | − | 0.211607i | ||||
\(773\) | −13.2975 | + | 13.2975i | −0.478279 | + | 0.478279i | −0.904581 | − | 0.426302i | \(-0.859816\pi\) |
0.426302 | + | 0.904581i | \(0.359816\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −26.9080 | − | 9.57857i | −0.966563 | − | 0.344072i | ||||
\(776\) | 7.84374 | − | 10.5160i | 0.281574 | − | 0.377501i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.538546 | − | 1.04612i | 0.0193078 | − | 0.0375051i | ||||
\(779\) | − | 6.58187i | − | 0.235820i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 4.75791i | − | 0.170252i | ||||||
\(782\) | 8.07722 | + | 4.15819i | 0.288841 | + | 0.148697i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 10.4564 | + | 3.59196i | 0.373444 | + | 0.128284i | ||||
\(785\) | 2.34720 | − | 13.5928i | 0.0837751 | − | 0.485146i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.2592 | + | 13.2592i | −0.472639 | + | 0.472639i | −0.902768 | − | 0.430128i | \(-0.858468\pi\) |
0.430128 | + | 0.902768i | \(0.358468\pi\) | |||||||
\(788\) | 4.02133 | − | 24.0841i | 0.143254 | − | 0.857962i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 21.1466 | − | 2.95809i | 0.752360 | − | 0.105244i | ||||
\(791\) | − | 27.4632i | − | 0.976480i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.40611 | − | 5.40611i | −0.191977 | − | 0.191977i | ||||
\(794\) | −22.3808 | + | 7.16862i | −0.794265 | + | 0.254405i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.74379 | + | 3.84371i | 0.0972511 | + | 0.136237i | ||||
\(797\) | −17.1774 | − | 17.1774i | −0.608453 | − | 0.608453i | 0.334089 | − | 0.942542i | \(-0.391572\pi\) |
−0.942542 | + | 0.334089i | \(0.891572\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.81155 | 0.205598 | ||||||||
\(800\) | 25.7971 | − | 11.5977i | 0.912067 | − | 0.410042i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 17.5457 | − | 34.0822i | 0.619559 | − | 1.20348i | ||||
\(803\) | −3.18370 | − | 3.18370i | −0.112350 | − | 0.112350i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.09478 | − | 7.22157i | −0.179567 | − | 0.254527i | ||||
\(806\) | −49.8033 | + | 15.9521i | −1.75424 | + | 0.561889i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.53184 | − | 38.0069i | −0.194610 | − | 1.33708i | ||||
\(809\) | 41.7364i | 1.46737i | 0.679488 | + | 0.733686i | \(0.262202\pi\) | ||||
−0.679488 | + | 0.733686i | \(0.737798\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 34.4392 | 1.20932 | 0.604661 | − | 0.796483i | \(-0.293308\pi\) | ||||
0.604661 | + | 0.796483i | \(0.293308\pi\) | |||||||
\(812\) | 1.97881 | − | 11.8513i | 0.0694427 | − | 0.415900i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.67242 | − | 1.17629i | 0.128718 | − | 0.0412288i | ||||
\(815\) | 4.89870 | − | 28.3686i | 0.171594 | − | 0.993709i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 47.3782 | − | 47.3782i | 1.65755 | − | 1.65755i | ||||
\(818\) | 16.6895 | + | 8.59181i | 0.583533 | + | 0.300405i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.51513 | + | 4.33223i | −0.0529106 | + | 0.151288i | ||||
\(821\) | 12.0902i | 0.421952i | 0.977491 | + | 0.210976i | \(0.0676642\pi\) | ||||
−0.977491 | + | 0.210976i | \(0.932336\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.0784 | + | 10.0784i | −0.351310 | + | 0.351310i | −0.860597 | − | 0.509287i | \(-0.829909\pi\) |
0.509287 | + | 0.860597i | \(0.329909\pi\) | |||||||
\(824\) | 18.9005 | − | 25.3395i | 0.658429 | − | 0.882744i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.70902 | + | 17.8238i | 0.198642 | + | 0.620171i | ||||
\(827\) | −22.1941 | + | 22.1941i | −0.771763 | + | 0.771763i | −0.978415 | − | 0.206652i | \(-0.933743\pi\) |
0.206652 | + | 0.978415i | \(0.433743\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.71154 | −0.0941755 | −0.0470878 | − | 0.998891i | \(-0.514994\pi\) | ||||
−0.0470878 | + | 0.998891i | \(0.514994\pi\) | |||||||
\(830\) | 4.89810 | + | 3.69593i | 0.170016 | + | 0.128287i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 24.6612 | − | 45.5382i | 0.854972 | − | 1.57875i | ||||
\(833\) | 6.53792 | + | 6.53792i | 0.226526 | + | 0.226526i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.18460 | + | 47.3974i | −0.283240 | + | 1.64026i | ||||
\(836\) | −7.57597 | + | 5.40803i | −0.262020 | + | 0.187041i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −30.5629 | − | 15.7339i | −1.05578 | − | 0.543519i | ||||
\(839\) | 53.2192 | 1.83733 | 0.918666 | − | 0.395036i | \(-0.129268\pi\) | ||||
0.918666 | + | 0.395036i | \(0.129268\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.4795 | −0.706191 | ||||||||
\(842\) | −2.01792 | − | 1.03883i | −0.0695420 | − | 0.0358005i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.92937 | + | 5.50455i | 0.135255 | + | 0.189475i | ||||
\(845\) | 52.8127 | − | 37.2591i | 1.81681 | − | 1.28175i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −15.2422 | − | 15.2422i | −0.523729 | − | 0.523729i | ||||
\(848\) | 23.5675 | + | 48.2318i | 0.809313 | + | 1.65629i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 23.6413 | + | 0.757030i | 0.810891 | + | 0.0259659i | ||||
\(851\) | −7.21594 | −0.247359 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 18.5528 | − | 18.5528i | 0.635236 | − | 0.635236i | −0.314141 | − | 0.949376i | \(-0.601716\pi\) |
0.949376 | + | 0.314141i | \(0.101716\pi\) | |||||||
\(854\) | 1.04860 | + | 3.27379i | 0.0358825 | + | 0.112027i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 26.7204 | − | 35.8236i | 0.913285 | − | 1.22443i | ||||
\(857\) | 12.8811 | − | 12.8811i | 0.440009 | − | 0.440009i | −0.452006 | − | 0.892015i | \(-0.649291\pi\) |
0.892015 | + | 0.452006i | \(0.149291\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 3.82914i | − | 0.130648i | −0.997864 | − | 0.0653242i | \(-0.979192\pi\) | ||
0.997864 | − | 0.0653242i | \(-0.0208082\pi\) | |||||||
\(860\) | −42.0910 | + | 20.2783i | −1.43529 | + | 0.691485i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −20.1191 | − | 10.3574i | −0.685259 | − | 0.352774i | ||||
\(863\) | −16.5089 | + | 16.5089i | −0.561970 | + | 0.561970i | −0.929867 | − | 0.367897i | \(-0.880078\pi\) |
0.367897 | + | 0.929867i | \(0.380078\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.3151 | − | 2.81729i | −0.554730 | − | 0.0957908i | ||||
\(866\) | 33.6506 | − | 10.7784i | 1.14349 | − | 0.366264i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 23.1928 | + | 3.87250i | 0.787215 | + | 0.131441i | ||||
\(869\) | 4.89989 | 0.166218 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 27.7046i | − | 0.938734i | ||||||
\(872\) | 34.8411 | − | 5.07107i | 1.17987 | − | 0.171728i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 16.5878 | − | 5.31312i | 0.561092 | − | 0.179719i | ||||
\(875\) | −20.0489 | − | 11.2932i | −0.677777 | − | 0.381778i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −27.6423 | − | 27.6423i | −0.933416 | − | 0.933416i | 0.0645020 | − | 0.997918i | \(-0.479454\pi\) |
−0.997918 | + | 0.0645020i | \(0.979454\pi\) | |||||||
\(878\) | −22.3375 | + | 43.3902i | −0.753853 | + | 1.46435i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 6.23147 | − | 1.81564i | 0.210063 | − | 0.0612051i | ||||
\(881\) | 14.6973 | 0.495165 | 0.247582 | − | 0.968867i | \(-0.420364\pi\) | ||||
0.247582 | + | 0.968867i | \(0.420364\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −31.5345 | − | 31.5345i | −1.06122 | − | 1.06122i | −0.998000 | − | 0.0632202i | \(-0.979863\pi\) |
−0.0632202 | − | 0.998000i | \(-0.520137\pi\) | |||||||
\(884\) | 35.2489 | − | 25.1620i | 1.18555 | − | 0.846291i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.86734 | + | 1.23872i | −0.129926 | + | 0.0416156i | ||||
\(887\) | −18.5981 | − | 18.5981i | −0.624464 | − | 0.624464i | 0.322206 | − | 0.946670i | \(-0.395576\pi\) |
−0.946670 | + | 0.322206i | \(0.895576\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 28.7676i | − | 0.964835i | ||||||
\(890\) | −2.02862 | − | 14.5021i | −0.0679996 | − | 0.486110i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 26.0013 | + | 4.34144i | 0.870589 | + | 0.145362i | ||||
\(893\) | 7.87885 | − | 7.87885i | 0.263656 | − | 0.263656i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −29.8633 | + | 21.0684i | −0.998221 | + | 0.704240i | ||||
\(896\) | −19.2307 | + | 13.1295i | −0.642452 | + | 0.438624i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 24.8084 | + | 12.7715i | 0.827867 | + | 0.426190i | ||||
\(899\) | 16.6744i | 0.556123i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 44.8928i | 1.49560i | ||||||||
\(902\) | −0.482060 | + | 0.936394i | −0.0160508 | + | 0.0311785i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −30.2529 | − | 22.5653i | −1.00620 | − | 0.750511i | ||||
\(905\) | −2.44639 | + | 1.72591i | −0.0813207 | + | 0.0573713i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.1848 | + | 15.1848i | −0.504203 | + | 0.504203i | −0.912741 | − | 0.408538i | \(-0.866039\pi\) |
0.408538 | + | 0.912741i | \(0.366039\pi\) | |||||||
\(908\) | −41.6371 | − | 6.95215i | −1.38178 | − | 0.230715i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −41.7253 | + | 5.83675i | −1.38318 | + | 0.193486i | ||||
\(911\) | 51.3671i | 1.70187i | 0.525272 | + | 0.850934i | \(0.323964\pi\) | ||||
−0.525272 | + | 0.850934i | \(0.676036\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.995667 | + | 0.995667i | 0.0329518 | + | 0.0329518i | ||||
\(914\) | −13.5525 | − | 42.3116i | −0.448277 | − | 1.39954i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 15.7217 | + | 22.0241i | 0.519460 | + | 0.727697i | ||||
\(917\) | −20.3764 | − | 20.3764i | −0.672888 | − | 0.672888i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 31.4287 | 1.03674 | 0.518369 | − | 0.855157i | \(-0.326539\pi\) | ||||
0.518369 | + | 0.855157i | \(0.326539\pi\) | |||||||
\(920\) | −12.1413 | − | 0.321338i | −0.400286 | − | 0.0105942i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 26.0262 | + | 13.3984i | 0.857127 | + | 0.441253i | ||||
\(923\) | 30.0120 | + | 30.0120i | 0.987855 | + | 0.987855i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.9709 | + | 8.06040i | −0.558000 | + | 0.265024i | ||||
\(926\) | −3.46218 | − | 10.8091i | −0.113774 | − | 0.355209i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −11.4293 | − | 11.9175i | −0.375184 | − | 0.391212i | ||||
\(929\) | 17.2221i | 0.565038i | 0.959262 | + | 0.282519i | \(0.0911700\pi\) | ||||
−0.959262 | + | 0.282519i | \(0.908830\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 17.7272 | 0.580986 | ||||||||
\(932\) | −1.98681 | + | 11.8992i | −0.0650803 | + | 0.389773i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.31135 | − | 7.21614i | −0.0756295 | − | 0.236119i | ||||
\(935\) | 5.34876 | + | 0.923625i | 0.174923 | + | 0.0302058i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29.3915 | + | 29.3915i | −0.960177 | + | 0.960177i | −0.999237 | − | 0.0390597i | \(-0.987564\pi\) |
0.0390597 | + | 0.999237i | \(0.487564\pi\) | |||||||
\(938\) | −5.70169 | + | 11.0755i | −0.186167 | + | 0.361626i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −6.99960 | + | 3.37222i | −0.228302 | + | 0.109990i | ||||
\(941\) | − | 40.1614i | − | 1.30922i | −0.755966 | − | 0.654611i | \(-0.772832\pi\) | ||
0.755966 | − | 0.654611i | \(-0.227168\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.39356 | − | 1.39356i | 0.0453806 | − | 0.0453806i | ||||
\(944\) | 24.3252 | + | 8.35612i | 0.791718 | + | 0.271968i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.2104 | + | 3.27043i | −0.331970 | + | 0.106331i | ||||
\(947\) | −20.5497 | + | 20.5497i | −0.667777 | + | 0.667777i | −0.957201 | − | 0.289424i | \(-0.906536\pi\) |
0.289424 | + | 0.957201i | \(0.406536\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 40.1642 | 1.30379 | ||||||||
\(950\) | 33.0774 | − | 31.0248i | 1.07317 | − | 1.00658i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −19.2698 | + | 2.80470i | −0.624539 | + | 0.0909007i | ||||
\(953\) | −14.0425 | − | 14.0425i | −0.454882 | − | 0.454882i | 0.442089 | − | 0.896971i | \(-0.354238\pi\) |
−0.896971 | + | 0.442089i | \(0.854238\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 33.9268 | − | 23.9352i | 1.09785 | − | 0.774525i | ||||
\(956\) | −3.18316 | − | 4.45920i | −0.102951 | − | 0.144221i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 7.69844 | − | 14.9541i | 0.248725 | − | 0.483145i | ||||
\(959\) | 12.5675 | 0.405826 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.63154 | −0.0526302 | ||||||||
\(962\) | −15.7451 | + | 30.5847i | −0.507643 | + | 0.986089i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 19.1535 | + | 26.8316i | 0.616893 | + | 0.864189i | ||||
\(965\) | −1.13404 | + | 6.56726i | −0.0365059 | + | 0.211408i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.168063 | + | 0.168063i | 0.00540454 | + | 0.00540454i | 0.709804 | − | 0.704399i | \(-0.248784\pi\) |
−0.704399 | + | 0.709804i | \(0.748784\pi\) | |||||||
\(968\) | −29.3144 | + | 4.26666i | −0.942200 | + | 0.137136i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.83469 | + | 11.7084i | −0.283665 | + | 0.375933i | ||||
\(971\) | 45.2762 | 1.45298 | 0.726492 | − | 0.687175i | \(-0.241149\pi\) | ||||
0.726492 | + | 0.687175i | \(0.241149\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.9539 | + | 14.9539i | −0.479400 | + | 0.479400i | ||||
\(974\) | 42.1196 | − | 13.4910i | 1.34960 | − | 0.432280i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.46793 | + | 1.53481i | 0.143015 | + | 0.0491280i | ||||
\(977\) | −33.1509 | + | 33.1509i | −1.06059 | + | 1.06059i | −0.0625482 | + | 0.998042i | \(0.519923\pi\) |
−0.998042 | + | 0.0625482i | \(0.980077\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 3.36029i | − | 0.107395i | ||||||
\(980\) | −11.6682 | − | 4.08075i | −0.372726 | − | 0.130355i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 11.5693 | − | 22.4732i | 0.369191 | − | 0.717149i | ||||
\(983\) | −3.16720 | + | 3.16720i | −0.101018 | + | 0.101018i | −0.755809 | − | 0.654792i | \(-0.772756\pi\) |
0.654792 | + | 0.755809i | \(0.272756\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.64536 | + | 26.9015i | −0.148013 | + | 0.857154i | ||||
\(986\) | −4.21220 | − | 13.1507i | −0.134144 | − | 0.418803i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 13.6749 | − | 81.9004i | 0.435057 | − | 2.60560i | ||||
\(989\) | 20.0625 | 0.637950 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 28.3462i | − | 0.900447i | −0.892916 | − | 0.450224i | \(-0.851344\pi\) | ||
0.892916 | − | 0.450224i | \(-0.148656\pi\) | |||||||
\(992\) | 23.3224 | − | 22.3669i | 0.740486 | − | 0.710148i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.82131 | − | 18.1744i | −0.184641 | − | 0.576457i | ||||
\(995\) | −3.04375 | − | 4.31435i | −0.0964935 | − | 0.136774i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 28.3453 | + | 28.3453i | 0.897705 | + | 0.897705i | 0.995233 | − | 0.0975279i | \(-0.0310935\pi\) |
−0.0975279 | + | 0.995233i | \(0.531094\pi\) | |||||||
\(998\) | −13.3395 | − | 6.86723i | −0.422254 | − | 0.217378i | ||||
\(999\) | 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 | 360.2.w.e.163.4 | 24 | ||
3.2 | odd | 2 | 120.2.v.a.43.9 | ✓ | 24 | ||
4.3 | odd | 2 | 1440.2.bi.e.1423.9 | 24 | |||
5.2 | odd | 4 | inner | 360.2.w.e.307.2 | 24 | ||
8.3 | odd | 2 | inner | 360.2.w.e.163.2 | 24 | ||
8.5 | even | 2 | 1440.2.bi.e.1423.4 | 24 | |||
12.11 | even | 2 | 480.2.bh.a.463.9 | 24 | |||
15.2 | even | 4 | 120.2.v.a.67.11 | yes | 24 | ||
15.8 | even | 4 | 600.2.v.b.307.2 | 24 | |||
15.14 | odd | 2 | 600.2.v.b.43.4 | 24 | |||
20.7 | even | 4 | 1440.2.bi.e.847.4 | 24 | |||
24.5 | odd | 2 | 480.2.bh.a.463.10 | 24 | |||
24.11 | even | 2 | 120.2.v.a.43.11 | yes | 24 | ||
40.27 | even | 4 | inner | 360.2.w.e.307.4 | 24 | ||
40.37 | odd | 4 | 1440.2.bi.e.847.9 | 24 | |||
60.23 | odd | 4 | 2400.2.bh.b.1807.1 | 24 | |||
60.47 | odd | 4 | 480.2.bh.a.367.10 | 24 | |||
60.59 | even | 2 | 2400.2.bh.b.943.2 | 24 | |||
120.29 | odd | 2 | 2400.2.bh.b.943.1 | 24 | |||
120.53 | even | 4 | 2400.2.bh.b.1807.2 | 24 | |||
120.59 | even | 2 | 600.2.v.b.43.2 | 24 | |||
120.77 | even | 4 | 480.2.bh.a.367.9 | 24 | |||
120.83 | odd | 4 | 600.2.v.b.307.4 | 24 | |||
120.107 | odd | 4 | 120.2.v.a.67.9 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
120.2.v.a.43.9 | ✓ | 24 | 3.2 | odd | 2 | ||
120.2.v.a.43.11 | yes | 24 | 24.11 | even | 2 | ||
120.2.v.a.67.9 | yes | 24 | 120.107 | odd | 4 | ||
120.2.v.a.67.11 | yes | 24 | 15.2 | even | 4 | ||
360.2.w.e.163.2 | 24 | 8.3 | odd | 2 | inner | ||
360.2.w.e.163.4 | 24 | 1.1 | even | 1 | trivial | ||
360.2.w.e.307.2 | 24 | 5.2 | odd | 4 | inner | ||
360.2.w.e.307.4 | 24 | 40.27 | even | 4 | inner | ||
480.2.bh.a.367.9 | 24 | 120.77 | even | 4 | |||
480.2.bh.a.367.10 | 24 | 60.47 | odd | 4 | |||
480.2.bh.a.463.9 | 24 | 12.11 | even | 2 | |||
480.2.bh.a.463.10 | 24 | 24.5 | odd | 2 | |||
600.2.v.b.43.2 | 24 | 120.59 | even | 2 | |||
600.2.v.b.43.4 | 24 | 15.14 | odd | 2 | |||
600.2.v.b.307.2 | 24 | 15.8 | even | 4 | |||
600.2.v.b.307.4 | 24 | 120.83 | odd | 4 | |||
1440.2.bi.e.847.4 | 24 | 20.7 | even | 4 | |||
1440.2.bi.e.847.9 | 24 | 40.37 | odd | 4 | |||
1440.2.bi.e.1423.4 | 24 | 8.5 | even | 2 | |||
1440.2.bi.e.1423.9 | 24 | 4.3 | odd | 2 | |||
2400.2.bh.b.943.1 | 24 | 120.29 | odd | 2 | |||
2400.2.bh.b.943.2 | 24 | 60.59 | even | 2 | |||
2400.2.bh.b.1807.1 | 24 | 60.23 | odd | 4 | |||
2400.2.bh.b.1807.2 | 24 | 120.53 | even | 4 |