Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [310,2,Mod(23,310)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(310, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([15, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("310.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 310 = 2 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 310.s (of order \(20\), degree \(8\), 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: | \(2.47536246266\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 263.13 | ||
Character | \(\chi\) | \(=\) | 310.263 |
Dual form | 310.2.s.a.277.13 |
$q$-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 \(\left(\mathbb{Z}/310\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(251\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.156434 | − | 0.987688i | 0.110616 | − | 0.698401i | ||||
\(3\) | −0.0340912 | + | 0.00539952i | −0.0196826 | + | 0.00311741i | −0.166268 | − | 0.986081i | \(-0.553172\pi\) |
0.146585 | + | 0.989198i | \(0.453172\pi\) | |||||||
\(4\) | −0.951057 | − | 0.309017i | −0.475528 | − | 0.154508i | ||||
\(5\) | 0.0723287 | + | 2.23490i | 0.0323464 | + | 0.999477i | ||||
\(6\) | 0.0345162i | 0.0140912i | ||||||||
\(7\) | 0.886641 | + | 1.74013i | 0.335119 | + | 0.657708i | 0.995658 | − | 0.0930836i | \(-0.0296724\pi\) |
−0.660539 | + | 0.750791i | \(0.729672\pi\) | |||||||
\(8\) | −0.453990 | + | 0.891007i | −0.160510 | + | 0.315018i | ||||
\(9\) | −2.85204 | + | 0.926683i | −0.950679 | + | 0.308894i | ||||
\(10\) | 2.21870 | + | 0.278177i | 0.701614 | + | 0.0879672i | ||||
\(11\) | 5.39525 | + | 1.75302i | 1.62673 | + | 0.528557i | 0.973516 | − | 0.228617i | \(-0.0734204\pi\) |
0.653213 | + | 0.757174i | \(0.273420\pi\) | |||||||
\(12\) | 0.0340912 | + | 0.00539952i | 0.00984129 | + | 0.00155871i | ||||
\(13\) | 2.98257 | − | 0.472393i | 0.827217 | − | 0.131018i | 0.271551 | − | 0.962424i | \(-0.412463\pi\) |
0.555666 | + | 0.831406i | \(0.312463\pi\) | |||||||
\(14\) | 1.85741 | − | 0.603509i | 0.496413 | − | 0.161294i | ||||
\(15\) | −0.0145332 | − | 0.0757999i | −0.00375244 | − | 0.0195714i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | −1.26546 | + | 2.48361i | −0.306920 | + | 0.602364i | −0.992019 | − | 0.126086i | \(-0.959759\pi\) |
0.685100 | + | 0.728449i | \(0.259759\pi\) | |||||||
\(18\) | 0.469117 | + | 2.96189i | 0.110572 | + | 0.698124i | ||||
\(19\) | −1.11652 | − | 1.53676i | −0.256148 | − | 0.352557i | 0.661505 | − | 0.749941i | \(-0.269918\pi\) |
−0.917652 | + | 0.397384i | \(0.869918\pi\) | |||||||
\(20\) | 0.621833 | − | 2.14786i | 0.139046 | − | 0.480277i | ||||
\(21\) | −0.0396226 | − | 0.0545358i | −0.00864635 | − | 0.0119007i | ||||
\(22\) | 2.57544 | − | 5.05459i | 0.549087 | − | 1.07764i | ||||
\(23\) | −0.0394199 | − | 0.0200854i | −0.00821962 | − | 0.00418810i | 0.449876 | − | 0.893091i | \(-0.351468\pi\) |
−0.458095 | + | 0.888903i | \(0.651468\pi\) | |||||||
\(24\) | 0.0106661 | − | 0.0328268i | 0.00217721 | − | 0.00670075i | ||||
\(25\) | −4.98954 | + | 0.323295i | −0.997907 | + | 0.0646589i | ||||
\(26\) | − | 3.01975i | − | 0.592222i | ||||||
\(27\) | 0.184488 | − | 0.0940015i | 0.0355048 | − | 0.0180906i | ||||
\(28\) | −0.305516 | − | 1.92895i | −0.0577370 | − | 0.364537i | ||||
\(29\) | 7.51695 | − | 5.46138i | 1.39586 | − | 1.01415i | 0.400670 | − | 0.916223i | \(-0.368778\pi\) |
0.995193 | − | 0.0979310i | \(-0.0312224\pi\) | |||||||
\(30\) | −0.0771401 | + | 0.00249651i | −0.0140838 | + | 0.000455799i | ||||
\(31\) | −5.31865 | + | 1.64679i | −0.955258 | + | 0.295772i | ||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | −0.193396 | − | 0.0306310i | −0.0336660 | − | 0.00533217i | ||||
\(34\) | 2.25507 | + | 1.63840i | 0.386741 | + | 0.280984i | ||||
\(35\) | −3.82489 | + | 2.10741i | −0.646524 | + | 0.356218i | ||||
\(36\) | 2.99881 | 0.499801 | ||||||||
\(37\) | 2.60361 | + | 2.60361i | 0.428031 | + | 0.428031i | 0.887957 | − | 0.459926i | \(-0.152124\pi\) |
−0.459926 | + | 0.887957i | \(0.652124\pi\) | |||||||
\(38\) | −1.69250 | + | 0.862373i | −0.274560 | + | 0.139895i | ||||
\(39\) | −0.0991289 | + | 0.0322089i | −0.0158733 | + | 0.00515756i | ||||
\(40\) | −2.02415 | − | 0.950177i | −0.320045 | − | 0.150236i | ||||
\(41\) | 4.10410 | − | 2.98180i | 0.640953 | − | 0.465680i | −0.219224 | − | 0.975674i | \(-0.570353\pi\) |
0.860177 | + | 0.509995i | \(0.170353\pi\) | |||||||
\(42\) | −0.0600627 | + | 0.0306035i | −0.00926787 | + | 0.00472222i | ||||
\(43\) | −0.816679 | + | 5.15631i | −0.124542 | + | 0.786329i | 0.843792 | + | 0.536671i | \(0.180318\pi\) |
−0.968334 | + | 0.249658i | \(0.919682\pi\) | |||||||
\(44\) | −4.58948 | − | 3.33445i | −0.691890 | − | 0.502687i | ||||
\(45\) | −2.27733 | − | 6.30698i | −0.339484 | − | 0.940190i | ||||
\(46\) | −0.0260048 | + | 0.0357925i | −0.00383420 | + | 0.00527732i | ||||
\(47\) | −2.48892 | + | 0.394206i | −0.363046 | + | 0.0575008i | −0.335293 | − | 0.942114i | \(-0.608835\pi\) |
−0.0277531 | + | 0.999615i | \(0.508835\pi\) | |||||||
\(48\) | −0.0307541 | − | 0.0156700i | −0.00443898 | − | 0.00226177i | ||||
\(49\) | 1.87257 | − | 2.57738i | 0.267510 | − | 0.368196i | ||||
\(50\) | −0.461221 | + | 4.97868i | −0.0652265 | + | 0.704092i | ||||
\(51\) | 0.0297309 | − | 0.0915022i | 0.00416315 | − | 0.0128129i | ||||
\(52\) | −2.98257 | − | 0.472393i | −0.413608 | − | 0.0655091i | ||||
\(53\) | −10.9843 | − | 5.59680i | −1.50882 | − | 0.768780i | −0.512847 | − | 0.858480i | \(-0.671409\pi\) |
−0.995969 | + | 0.0897000i | \(0.971409\pi\) | |||||||
\(54\) | −0.0639838 | − | 0.196922i | −0.00870709 | − | 0.0267977i | ||||
\(55\) | −3.52760 | + | 12.1846i | −0.475661 | + | 1.64298i | ||||
\(56\) | −1.95299 | −0.260980 | ||||||||
\(57\) | 0.0463614 | + | 0.0463614i | 0.00614072 | + | 0.00614072i | ||||
\(58\) | −4.21824 | − | 8.27875i | −0.553881 | − | 1.08705i | ||||
\(59\) | 1.64659 | − | 2.26634i | 0.214368 | − | 0.295053i | −0.688268 | − | 0.725456i | \(-0.741629\pi\) |
0.902636 | + | 0.430404i | \(0.141629\pi\) | |||||||
\(60\) | −0.00960160 | + | 0.0765810i | −0.00123956 | + | 0.00988656i | ||||
\(61\) | − | 6.54992i | − | 0.838631i | −0.907841 | − | 0.419316i | \(-0.862270\pi\) | ||
0.907841 | − | 0.419316i | \(-0.137730\pi\) | |||||||
\(62\) | 0.794496 | + | 5.51079i | 0.100901 | + | 0.699871i | ||||
\(63\) | −4.14128 | − | 4.14128i | −0.521753 | − | 0.521753i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | 1.27148 | + | 6.63158i | 0.157707 | + | 0.822546i | ||||
\(66\) | −0.0605077 | + | 0.186224i | −0.00744798 | + | 0.0229225i | ||||
\(67\) | −7.51327 | + | 7.51327i | −0.917891 | + | 0.917891i | −0.996876 | − | 0.0789844i | \(-0.974832\pi\) |
0.0789844 | + | 0.996876i | \(0.474832\pi\) | |||||||
\(68\) | 1.97100 | − | 1.97100i | 0.239019 | − | 0.239019i | ||||
\(69\) | 0.00145232 | 0.000471889i | 0.000174839 | 5.68088e-5i | ||||||
\(70\) | 1.48312 | + | 4.10747i | 0.177267 | + | 0.490936i | ||||
\(71\) | 0.478046 | + | 1.47128i | 0.0567337 | + | 0.174608i | 0.975408 | − | 0.220408i | \(-0.0707389\pi\) |
−0.918674 | + | 0.395016i | \(0.870739\pi\) | |||||||
\(72\) | 0.469117 | − | 2.96189i | 0.0552860 | − | 0.349062i | ||||
\(73\) | 3.59187 | + | 7.04944i | 0.420396 | + | 0.825074i | 0.999949 | + | 0.0101392i | \(0.00322746\pi\) |
−0.579552 | + | 0.814935i | \(0.696773\pi\) | |||||||
\(74\) | 2.97885 | − | 2.16426i | 0.346284 | − | 0.251590i | ||||
\(75\) | 0.168354 | − | 0.0379626i | 0.0194398 | − | 0.00438355i | ||||
\(76\) | 0.586990 | + | 1.80657i | 0.0673324 | + | 0.207228i | ||||
\(77\) | 1.73316 | + | 10.9428i | 0.197512 | + | 1.24704i | ||||
\(78\) | 0.0163052 | + | 0.102947i | 0.00184620 | + | 0.0116565i | ||||
\(79\) | −0.636609 | − | 1.95928i | −0.0716242 | − | 0.220437i | 0.908836 | − | 0.417153i | \(-0.136972\pi\) |
−0.980460 | + | 0.196717i | \(0.936972\pi\) | |||||||
\(80\) | −1.25512 | + | 1.85058i | −0.140327 | + | 0.206902i | ||||
\(81\) | 7.27248 | − | 5.28377i | 0.808053 | − | 0.587085i | ||||
\(82\) | −2.30307 | − | 4.52003i | −0.254332 | − | 0.499154i | ||||
\(83\) | 0.509938 | − | 3.21962i | 0.0559730 | − | 0.353400i | −0.943767 | − | 0.330610i | \(-0.892745\pi\) |
0.999740 | − | 0.0227891i | \(-0.00725464\pi\) | |||||||
\(84\) | 0.0208308 | + | 0.0641107i | 0.00227283 | + | 0.00699505i | ||||
\(85\) | −5.64214 | − | 2.64854i | −0.611976 | − | 0.287275i | ||||
\(86\) | 4.96507 | + | 1.61325i | 0.535397 | + | 0.173961i | ||||
\(87\) | −0.226773 | + | 0.226773i | −0.0243126 | + | 0.0243126i | ||||
\(88\) | −4.01135 | + | 4.01135i | −0.427611 | + | 0.427611i | ||||
\(89\) | 4.49739 | − | 13.8415i | 0.476722 | − | 1.46720i | −0.366899 | − | 0.930261i | \(-0.619580\pi\) |
0.843621 | − | 0.536939i | \(-0.180420\pi\) | |||||||
\(90\) | −6.58559 | + | 1.26266i | −0.694182 | + | 0.133096i | ||||
\(91\) | 3.46650 | + | 4.77122i | 0.363388 | + | 0.500160i | ||||
\(92\) | 0.0312838 | + | 0.0312838i | 0.00326156 | + | 0.00326156i | ||||
\(93\) | 0.172428 | − | 0.0848593i | 0.0178799 | − | 0.00879950i | ||||
\(94\) | 2.51994i | 0.259912i | ||||||||
\(95\) | 3.35375 | − | 2.60646i | 0.344087 | − | 0.267418i | ||||
\(96\) | −0.0202881 | + | 0.0279242i | −0.00207065 | + | 0.00285000i | ||||
\(97\) | −5.47988 | − | 10.7549i | −0.556398 | − | 1.09199i | −0.982316 | − | 0.187231i | \(-0.940049\pi\) |
0.425918 | − | 0.904762i | \(-0.359951\pi\) | |||||||
\(98\) | −2.25271 | − | 2.25271i | −0.227558 | − | 0.227558i | ||||
\(99\) | −17.0120 | −1.70977 | ||||||||
\(100\) | 4.84524 | + | 1.23438i | 0.484524 | + | 0.123438i | ||||
\(101\) | −0.227738 | − | 0.700904i | −0.0226607 | − | 0.0697426i | 0.939087 | − | 0.343680i | \(-0.111674\pi\) |
−0.961747 | + | 0.273938i | \(0.911674\pi\) | |||||||
\(102\) | −0.0857247 | − | 0.0436789i | −0.00848801 | − | 0.00432486i | ||||
\(103\) | −8.59175 | − | 1.36080i | −0.846570 | − | 0.134084i | −0.281945 | − | 0.959431i | \(-0.590979\pi\) |
−0.564626 | + | 0.825347i | \(0.690979\pi\) | |||||||
\(104\) | −0.933154 | + | 2.87195i | −0.0915033 | + | 0.281618i | ||||
\(105\) | 0.119016 | − | 0.0924969i | 0.0116148 | − | 0.00902677i | ||||
\(106\) | −7.24623 | + | 9.97358i | −0.703816 | + | 0.968719i | ||||
\(107\) | 5.76634 | + | 2.93810i | 0.557453 | + | 0.284037i | 0.709932 | − | 0.704270i | \(-0.248726\pi\) |
−0.152479 | + | 0.988307i | \(0.548726\pi\) | |||||||
\(108\) | −0.204507 | + | 0.0323907i | −0.0196787 | + | 0.00311680i | ||||
\(109\) | −0.929272 | + | 1.27903i | −0.0890081 | + | 0.122509i | −0.851199 | − | 0.524843i | \(-0.824124\pi\) |
0.762191 | + | 0.647353i | \(0.224124\pi\) | |||||||
\(110\) | 11.4828 | + | 5.39026i | 1.09484 | + | 0.513941i | ||||
\(111\) | −0.102819 | − | 0.0747020i | −0.00975910 | − | 0.00709040i | ||||
\(112\) | −0.305516 | + | 1.92895i | −0.0288685 | + | 0.182269i | ||||
\(113\) | 14.9555 | − | 7.62020i | 1.40689 | − | 0.716848i | 0.424808 | − | 0.905284i | \(-0.360342\pi\) |
0.982086 | + | 0.188436i | \(0.0603417\pi\) | |||||||
\(114\) | 0.0530431 | − | 0.0385381i | 0.00496794 | − | 0.00360942i | ||||
\(115\) | 0.0420377 | − | 0.0895522i | 0.00392004 | − | 0.00835079i | ||||
\(116\) | −8.83671 | + | 2.87122i | −0.820468 | + | 0.266586i | ||||
\(117\) | −8.06865 | + | 4.11118i | −0.745947 | + | 0.380079i | ||||
\(118\) | −1.98086 | − | 1.98086i | −0.182352 | − | 0.182352i | ||||
\(119\) | −5.44382 | −0.499034 | ||||||||
\(120\) | 0.0741361 | + | 0.0214633i | 0.00676767 | + | 0.00195932i | ||||
\(121\) | 17.1365 | + | 12.4504i | 1.55786 | + | 1.13185i | ||||
\(122\) | −6.46928 | − | 1.02463i | −0.585701 | − | 0.0927659i | ||||
\(123\) | −0.123814 | + | 0.123814i | −0.0111639 | + | 0.0111639i | ||||
\(124\) | 5.56723 | + | 0.0773630i | 0.499952 | + | 0.00694740i | ||||
\(125\) | −1.08342 | − | 11.1277i | −0.0969038 | − | 0.995294i | ||||
\(126\) | −4.73814 | + | 3.44246i | −0.422107 | + | 0.306678i | ||||
\(127\) | −2.19161 | − | 13.8373i | −0.194474 | − | 1.22786i | −0.870941 | − | 0.491388i | \(-0.836490\pi\) |
0.676467 | − | 0.736473i | \(-0.263510\pi\) | |||||||
\(128\) | −0.891007 | + | 0.453990i | −0.0787546 | + | 0.0401275i | ||||
\(129\) | − | 0.180195i | − | 0.0158652i | ||||||
\(130\) | 6.74883 | − | 0.218415i | 0.591912 | − | 0.0191562i | ||||
\(131\) | 6.69245 | − | 20.5973i | 0.584722 | − | 1.79959i | −0.0156598 | − | 0.999877i | \(-0.504985\pi\) |
0.600382 | − | 0.799713i | \(-0.295015\pi\) | |||||||
\(132\) | 0.174465 | + | 0.0888945i | 0.0151853 | + | 0.00773728i | ||||
\(133\) | 1.68421 | − | 3.30545i | 0.146040 | − | 0.286619i | ||||
\(134\) | 6.24543 | + | 8.59610i | 0.539523 | + | 0.742590i | ||||
\(135\) | 0.223427 | + | 0.405513i | 0.0192296 | + | 0.0349010i | ||||
\(136\) | −1.63840 | − | 2.25507i | −0.140492 | − | 0.193371i | ||||
\(137\) | 0.987694 | + | 6.23606i | 0.0843844 | + | 0.532782i | 0.993278 | + | 0.115754i | \(0.0369284\pi\) |
−0.908893 | + | 0.417028i | \(0.863072\pi\) | |||||||
\(138\) | 0.000693273 | − | 0.00136062i | 5.90153e−5 | − | 0.000115824i | ||||
\(139\) | 4.12745 | + | 2.99877i | 0.350086 | + | 0.254352i | 0.748905 | − | 0.662677i | \(-0.230580\pi\) |
−0.398819 | + | 0.917030i | \(0.630580\pi\) | |||||||
\(140\) | 4.28891 | − | 0.822315i | 0.362479 | − | 0.0694983i | ||||
\(141\) | 0.0827217 | − | 0.0268779i | 0.00696643 | − | 0.00226353i | ||||
\(142\) | 1.52794 | − | 0.242003i | 0.128222 | − | 0.0203084i | ||||
\(143\) | 16.9198 | + | 2.67984i | 1.41491 | + | 0.224100i | ||||
\(144\) | −2.85204 | − | 0.926683i | −0.237670 | − | 0.0772236i | ||||
\(145\) | 12.7493 | + | 16.4046i | 1.05877 | + | 1.36233i | ||||
\(146\) | 7.52454 | − | 2.44487i | 0.622735 | − | 0.202339i | ||||
\(147\) | −0.0499217 | + | 0.0979769i | −0.00411747 | + | 0.00808100i | ||||
\(148\) | −1.67162 | − | 3.28074i | −0.137406 | − | 0.269675i | ||||
\(149\) | 18.0009i | 1.47469i | 0.675514 | + | 0.737347i | \(0.263922\pi\) | ||||
−0.675514 | + | 0.737347i | \(0.736078\pi\) | |||||||
\(150\) | −0.0111589 | − | 0.172220i | −0.000911120 | − | 0.0140617i | ||||
\(151\) | 1.48691 | + | 0.483127i | 0.121003 | + | 0.0393163i | 0.368893 | − | 0.929472i | \(-0.379737\pi\) |
−0.247890 | + | 0.968788i | \(0.579737\pi\) | |||||||
\(152\) | 1.87615 | − | 0.297154i | 0.152176 | − | 0.0241023i | ||||
\(153\) | 1.30763 | − | 8.25602i | 0.105715 | − | 0.667460i | ||||
\(154\) | 11.0792 | 0.892784 | ||||||||
\(155\) | −4.06510 | − | 11.7675i | −0.326517 | − | 0.945191i | ||||
\(156\) | 0.104230 | 0.00834510 | ||||||||
\(157\) | 0.485647 | − | 3.06625i | 0.0387588 | − | 0.244714i | −0.960701 | − | 0.277586i | \(-0.910466\pi\) |
0.999460 | + | 0.0328726i | \(0.0104656\pi\) | |||||||
\(158\) | −2.03475 | + | 0.322272i | −0.161876 | + | 0.0256386i | ||||
\(159\) | 0.404690 | + | 0.131492i | 0.0320940 | + | 0.0104280i | ||||
\(160\) | 1.63146 | + | 1.52917i | 0.128978 | + | 0.120891i | ||||
\(161\) | − | 0.0864044i | − | 0.00680962i | ||||||
\(162\) | −4.08105 | − | 8.00951i | −0.320637 | − | 0.629286i | ||||
\(163\) | −10.7815 | + | 21.1600i | −0.844475 | + | 1.65738i | −0.0948703 | + | 0.995490i | \(0.530244\pi\) |
−0.749605 | + | 0.661886i | \(0.769756\pi\) | |||||||
\(164\) | −4.82466 | + | 1.56763i | −0.376743 | + | 0.122411i | ||||
\(165\) | 0.0544690 | − | 0.434436i | 0.00424040 | − | 0.0338208i | ||||
\(166\) | −3.10021 | − | 1.00732i | −0.240623 | − | 0.0781832i | ||||
\(167\) | 19.4122 | + | 3.07460i | 1.50216 | + | 0.237920i | 0.852671 | − | 0.522448i | \(-0.174981\pi\) |
0.649493 | + | 0.760367i | \(0.274981\pi\) | |||||||
\(168\) | 0.0665800 | − | 0.0105452i | 0.00513676 | − | 0.000813583i | ||||
\(169\) | −3.69115 | + | 1.19933i | −0.283935 | + | 0.0922559i | ||||
\(170\) | −3.49856 | + | 5.15835i | −0.268327 | + | 0.395628i | ||||
\(171\) | 4.60845 | + | 3.34824i | 0.352417 | + | 0.256046i | ||||
\(172\) | 2.37009 | − | 4.65157i | 0.180718 | − | 0.354679i | ||||
\(173\) | −2.75716 | − | 17.4080i | −0.209623 | − | 1.32351i | −0.838031 | − | 0.545622i | \(-0.816293\pi\) |
0.628409 | − | 0.777883i | \(-0.283707\pi\) | |||||||
\(174\) | 0.188506 | + | 0.259456i | 0.0142906 | + | 0.0196693i | ||||
\(175\) | −4.98650 | − | 8.39580i | −0.376944 | − | 0.634663i | ||||
\(176\) | 3.33445 | + | 4.58948i | 0.251344 | + | 0.345945i | ||||
\(177\) | −0.0438972 | + | 0.0861532i | −0.00329952 | + | 0.00647567i | ||||
\(178\) | −12.9676 | − | 6.60731i | −0.971961 | − | 0.495239i | ||||
\(179\) | 4.12127 | − | 12.6840i | 0.308038 | − | 0.948043i | −0.670488 | − | 0.741920i | \(-0.733915\pi\) |
0.978526 | − | 0.206123i | \(-0.0660847\pi\) | |||||||
\(180\) | 0.216900 | + | 6.70203i | 0.0161668 | + | 0.499540i | ||||
\(181\) | − | 13.5096i | − | 1.00416i | −0.864820 | − | 0.502082i | \(-0.832568\pi\) | ||
0.864820 | − | 0.502082i | \(-0.167432\pi\) | |||||||
\(182\) | 5.25476 | − | 2.67744i | 0.389509 | − | 0.198465i | ||||
\(183\) | 0.0353664 | + | 0.223295i | 0.00261436 | + | 0.0165064i | ||||
\(184\) | 0.0357925 | − | 0.0260048i | 0.00263866 | − | 0.00191710i | ||||
\(185\) | −5.63049 | + | 6.00712i | −0.413962 | + | 0.441652i | ||||
\(186\) | −0.0568409 | − | 0.183580i | −0.00416778 | − | 0.0134607i | ||||
\(187\) | −11.1813 | + | 11.1813i | −0.817658 | + | 0.817658i | ||||
\(188\) | 2.48892 | + | 0.394206i | 0.181523 | + | 0.0287504i | ||||
\(189\) | 0.327150 | + | 0.237688i | 0.0237966 | + | 0.0172893i | ||||
\(190\) | −2.04973 | − | 3.72020i | −0.148703 | − | 0.269891i | ||||
\(191\) | 23.6172 | 1.70888 | 0.854441 | − | 0.519548i | \(-0.173900\pi\) | ||||
0.854441 | + | 0.519548i | \(0.173900\pi\) | |||||||
\(192\) | 0.0244066 | + | 0.0244066i | 0.00176140 | + | 0.00176140i | ||||
\(193\) | 23.1802 | − | 11.8109i | 1.66855 | − | 0.850169i | 0.674869 | − | 0.737938i | \(-0.264200\pi\) |
0.993682 | − | 0.112231i | \(-0.0357998\pi\) | |||||||
\(194\) | −11.4797 | + | 3.72998i | −0.824195 | + | 0.267797i | ||||
\(195\) | −0.0791535 | − | 0.219213i | −0.00566830 | − | 0.0156982i | ||||
\(196\) | −2.57738 | + | 1.87257i | −0.184098 | + | 0.133755i | ||||
\(197\) | 4.50514 | − | 2.29549i | 0.320978 | − | 0.163547i | −0.286076 | − | 0.958207i | \(-0.592351\pi\) |
0.607054 | + | 0.794660i | \(0.292351\pi\) | |||||||
\(198\) | −2.66126 | + | 16.8025i | −0.189127 | + | 1.19410i | ||||
\(199\) | −2.78740 | − | 2.02517i | −0.197594 | − | 0.143560i | 0.484589 | − | 0.874742i | \(-0.338969\pi\) |
−0.682183 | + | 0.731182i | \(0.738969\pi\) | |||||||
\(200\) | 1.97714 | − | 4.59248i | 0.139805 | − | 0.324738i | ||||
\(201\) | 0.215568 | − | 0.296705i | 0.0152050 | − | 0.0209279i | ||||
\(202\) | −0.727901 | + | 0.115288i | −0.0512149 | + | 0.00811165i | ||||
\(203\) | 16.1684 | + | 8.23819i | 1.13480 | + | 0.578208i | ||||
\(204\) | −0.0565515 | + | 0.0778364i | −0.00395939 | + | 0.00544964i | ||||
\(205\) | 6.96087 | + | 8.95658i | 0.486169 | + | 0.625555i | ||||
\(206\) | −2.68809 | + | 8.27309i | −0.187288 | + | 0.576414i | ||||
\(207\) | 0.131040 | + | 0.0207547i | 0.00910790 | + | 0.00144255i | ||||
\(208\) | 2.69062 | + | 1.37094i | 0.186561 | + | 0.0950575i | ||||
\(209\) | −3.32994 | − | 10.2485i | −0.230337 | − | 0.708904i | ||||
\(210\) | −0.0727399 | − | 0.132020i | −0.00501953 | − | 0.00911028i | ||||
\(211\) | −5.48313 | −0.377474 | −0.188737 | − | 0.982028i | \(-0.560439\pi\) | ||||
−0.188737 | + | 0.982028i | \(0.560439\pi\) | |||||||
\(212\) | 8.71723 | + | 8.71723i | 0.598701 | + | 0.598701i | ||||
\(213\) | −0.0242414 | − | 0.0475764i | −0.00166099 | − | 0.00325988i | ||||
\(214\) | 3.80398 | − | 5.23573i | 0.260035 | − | 0.357907i | ||||
\(215\) | −11.5829 | − | 1.45224i | −0.789946 | − | 0.0990422i | ||||
\(216\) | 0.207056i | 0.0140884i | ||||||||
\(217\) | −7.58137 | − | 7.79504i | −0.514657 | − | 0.529162i | ||||
\(218\) | 1.11792 | + | 1.11792i | 0.0757148 | + | 0.0757148i | ||||
\(219\) | −0.160515 | − | 0.220930i | −0.0108466 | − | 0.0149290i | ||||
\(220\) | 7.12020 | − | 10.4982i | 0.480044 | − | 0.707788i | ||||
\(221\) | −2.60109 | + | 8.00534i | −0.174968 | + | 0.538497i | ||||
\(222\) | −0.0898667 | + | 0.0898667i | −0.00603146 | + | 0.00603146i | ||||
\(223\) | −18.7462 | + | 18.7462i | −1.25534 | + | 1.25534i | −0.302040 | + | 0.953295i | \(0.597668\pi\) |
−0.953295 | + | 0.302040i | \(0.902332\pi\) | |||||||
\(224\) | 1.85741 | + | 0.603509i | 0.124103 | + | 0.0403236i | ||||
\(225\) | 13.9308 | − | 5.54577i | 0.928717 | − | 0.369718i | ||||
\(226\) | −5.18683 | − | 15.9634i | −0.345023 | − | 1.06187i | ||||
\(227\) | −3.36987 | + | 21.2765i | −0.223666 | + | 1.41217i | 0.578799 | + | 0.815471i | \(0.303522\pi\) |
−0.802464 | + | 0.596700i | \(0.796478\pi\) | |||||||
\(228\) | −0.0297658 | − | 0.0584188i | −0.00197129 | − | 0.00386888i | ||||
\(229\) | −17.5781 | + | 12.7713i | −1.16160 | + | 0.843948i | −0.989979 | − | 0.141215i | \(-0.954899\pi\) |
−0.171617 | + | 0.985164i | \(0.554899\pi\) | |||||||
\(230\) | −0.0818735 | − | 0.0555292i | −0.00539858 | − | 0.00366149i | ||||
\(231\) | −0.118171 | − | 0.363694i | −0.00777510 | − | 0.0239293i | ||||
\(232\) | 1.45350 | + | 9.17707i | 0.0954273 | + | 0.602504i | ||||
\(233\) | −1.21710 | − | 7.68445i | −0.0797346 | − | 0.503425i | −0.994943 | − | 0.100443i | \(-0.967974\pi\) |
0.915208 | − | 0.402981i | \(-0.132026\pi\) | |||||||
\(234\) | 2.79835 | + | 8.61244i | 0.182934 | + | 0.563013i | ||||
\(235\) | −1.06103 | − | 5.53396i | −0.0692139 | − | 0.360996i | ||||
\(236\) | −2.26634 | + | 1.64659i | −0.147526 | + | 0.107184i | ||||
\(237\) | 0.0322820 | + | 0.0633570i | 0.00209694 | + | 0.00411548i | ||||
\(238\) | −0.851600 | + | 5.37679i | −0.0552011 | + | 0.348526i | ||||
\(239\) | 3.53760 | + | 10.8876i | 0.228828 | + | 0.704261i | 0.997880 | + | 0.0650748i | \(0.0207286\pi\) |
−0.769052 | + | 0.639186i | \(0.779271\pi\) | |||||||
\(240\) | 0.0327965 | − | 0.0698658i | 0.00211700 | − | 0.00450982i | ||||
\(241\) | −11.5827 | − | 3.76345i | −0.746108 | − | 0.242425i | −0.0888026 | − | 0.996049i | \(-0.528304\pi\) |
−0.657306 | + | 0.753624i | \(0.728304\pi\) | |||||||
\(242\) | 14.9778 | − | 14.9778i | 0.962811 | − | 0.962811i | ||||
\(243\) | −0.658630 | + | 0.658630i | −0.0422511 | + | 0.0422511i | ||||
\(244\) | −2.02404 | + | 6.22934i | −0.129576 | + | 0.398793i | ||||
\(245\) | 5.89561 | + | 3.99859i | 0.376657 | + | 0.255461i | ||||
\(246\) | 0.102921 | + | 0.141658i | 0.00656197 | + | 0.00903178i | ||||
\(247\) | −4.05606 | − | 4.05606i | −0.258081 | − | 0.258081i | ||||
\(248\) | 0.947317 | − | 5.48658i | 0.0601547 | − | 0.348398i | ||||
\(249\) | 0.112514i | 0.00713031i | ||||||||
\(250\) | −11.1602 | − | 0.670681i | −0.705833 | − | 0.0424176i | ||||
\(251\) | −8.24981 | + | 11.3549i | −0.520724 | + | 0.716714i | −0.985681 | − | 0.168618i | \(-0.946069\pi\) |
0.464958 | + | 0.885333i | \(0.346069\pi\) | |||||||
\(252\) | 2.65887 | + | 5.21832i | 0.167493 | + | 0.328723i | ||||
\(253\) | −0.177470 | − | 0.177470i | −0.0111574 | − | 0.0111574i | ||||
\(254\) | −14.0098 | −0.879051 | ||||||||
\(255\) | 0.206648 | + | 0.0598272i | 0.0129408 | + | 0.00374652i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −4.96749 | − | 2.53106i | −0.309864 | − | 0.157883i | 0.292143 | − | 0.956375i | \(-0.405632\pi\) |
−0.602006 | + | 0.798491i | \(0.705632\pi\) | |||||||
\(258\) | −0.177976 | − | 0.0281886i | −0.0110803 | − | 0.00175495i | ||||
\(259\) | −2.22216 | + | 6.83909i | −0.138078 | + | 0.424961i | ||||
\(260\) | 0.840025 | − | 6.69991i | 0.0520961 | − | 0.415511i | ||||
\(261\) | −16.3776 | + | 22.5419i | −1.01375 | + | 1.39531i | ||||
\(262\) | −19.2967 | − | 9.83218i | −1.19216 | − | 0.607434i | ||||
\(263\) | −20.0708 | + | 3.17891i | −1.23762 | + | 0.196020i | −0.740736 | − | 0.671797i | \(-0.765523\pi\) |
−0.496885 | + | 0.867816i | \(0.665523\pi\) | |||||||
\(264\) | 0.115092 | − | 0.158411i | 0.00708345 | − | 0.00974954i | ||||
\(265\) | 11.7138 | − | 24.9537i | 0.719573 | − | 1.53289i | ||||
\(266\) | −3.00129 | − | 2.18056i | −0.184021 | − | 0.133699i | ||||
\(267\) | −0.0785838 | + | 0.496159i | −0.00480925 | + | 0.0303644i | ||||
\(268\) | 9.46727 | − | 4.82381i | 0.578305 | − | 0.294661i | ||||
\(269\) | −12.5847 | + | 9.14330i | −0.767301 | + | 0.557477i | −0.901141 | − | 0.433526i | \(-0.857269\pi\) |
0.133840 | + | 0.991003i | \(0.457269\pi\) | |||||||
\(270\) | 0.435473 | − | 0.157240i | 0.0265020 | − | 0.00956935i | ||||
\(271\) | −14.7283 | + | 4.78550i | −0.894678 | + | 0.290699i | −0.720039 | − | 0.693934i | \(-0.755876\pi\) |
−0.174640 | + | 0.984632i | \(0.555876\pi\) | |||||||
\(272\) | −2.48361 | + | 1.26546i | −0.150591 | + | 0.0767299i | ||||
\(273\) | −0.143940 | − | 0.143940i | −0.00871162 | − | 0.00871162i | ||||
\(274\) | 6.31379 | 0.381430 | ||||||||
\(275\) | −27.4866 | − | 7.00252i | −1.65750 | − | 0.422268i | ||||
\(276\) | −0.00123542 | 0.000897586i | −7.43636e−5 | 5.40283e-5i | ||||||
\(277\) | −8.95144 | − | 1.41777i | −0.537840 | − | 0.0851855i | −0.118396 | − | 0.992967i | \(-0.537775\pi\) |
−0.419444 | + | 0.907781i | \(0.637775\pi\) | |||||||
\(278\) | 3.60752 | − | 3.60752i | 0.216365 | − | 0.216365i | ||||
\(279\) | 13.6429 | − | 9.62541i | 0.816782 | − | 0.576258i | ||||
\(280\) | −0.141258 | − | 4.36474i | −0.00844176 | − | 0.260843i | ||||
\(281\) | −3.88307 | + | 2.82122i | −0.231645 | + | 0.168300i | −0.697553 | − | 0.716533i | \(-0.745728\pi\) |
0.465908 | + | 0.884833i | \(0.345728\pi\) | |||||||
\(282\) | −0.0136065 | − | 0.0859079i | −0.000810254 | − | 0.00511574i | ||||
\(283\) | 3.81399 | − | 1.94332i | 0.226718 | − | 0.115519i | −0.336942 | − | 0.941525i | \(-0.609393\pi\) |
0.563660 | + | 0.826007i | \(0.309393\pi\) | |||||||
\(284\) | − | 1.54699i | − | 0.0917970i | ||||||
\(285\) | −0.100260 | + | 0.106966i | −0.00593887 | + | 0.00633613i | ||||
\(286\) | 5.29370 | − | 16.2923i | 0.313023 | − | 0.963385i | ||||
\(287\) | 8.82760 | + | 4.49789i | 0.521077 | + | 0.265502i | ||||
\(288\) | −1.36143 | + | 2.67196i | −0.0802231 | + | 0.157447i | ||||
\(289\) | 5.42543 | + | 7.46747i | 0.319143 | + | 0.439263i | ||||
\(290\) | 18.1971 | − | 10.0261i | 1.06857 | − | 0.588754i | ||||
\(291\) | 0.244887 | + | 0.337058i | 0.0143555 | + | 0.0197587i | ||||
\(292\) | −1.23767 | − | 7.81436i | −0.0724294 | − | 0.457301i | ||||
\(293\) | 1.68306 | − | 3.30319i | 0.0983254 | − | 0.192974i | −0.836604 | − | 0.547808i | \(-0.815462\pi\) |
0.934930 | + | 0.354833i | \(0.115462\pi\) | |||||||
\(294\) | 0.0889612 | + | 0.0646341i | 0.00518832 | + | 0.00376953i | ||||
\(295\) | 5.18414 | + | 3.51605i | 0.301832 | + | 0.204712i | ||||
\(296\) | −3.50185 | + | 1.13782i | −0.203541 | + | 0.0661344i | ||||
\(297\) | 1.16015 | − | 0.183749i | 0.0673186 | − | 0.0106622i | ||||
\(298\) | 17.7793 | + | 2.81597i | 1.02993 | + | 0.163125i | ||||
\(299\) | −0.127061 | − | 0.0412846i | −0.00734812 | − | 0.00238755i | ||||
\(300\) | −0.171845 | − | 0.0159196i | −0.00992148 | − | 0.000919118i | ||||
\(301\) | −9.69675 | + | 3.15067i | −0.558911 | + | 0.181601i | ||||
\(302\) | 0.709783 | − | 1.39303i | 0.0408434 | − | 0.0801597i | ||||
\(303\) | 0.0115484 | + | 0.0226650i | 0.000663438 | + | 0.00130207i | ||||
\(304\) | − | 1.89954i | − | 0.108946i | ||||||
\(305\) | 14.6384 | − | 0.473747i | 0.838192 | − | 0.0271267i | ||||
\(306\) | −7.94982 | − | 2.58305i | −0.454461 | − | 0.147663i | ||||
\(307\) | 16.5781 | − | 2.62571i | 0.946160 | − | 0.149857i | 0.335758 | − | 0.941948i | \(-0.391008\pi\) |
0.610403 | + | 0.792091i | \(0.291008\pi\) | |||||||
\(308\) | 1.73316 | − | 10.9428i | 0.0987560 | − | 0.623521i | ||||
\(309\) | 0.300251 | 0.0170807 | ||||||||
\(310\) | −12.2586 | + | 2.17420i | −0.696241 | + | 0.123487i | ||||
\(311\) | −28.5542 | −1.61916 | −0.809581 | − | 0.587009i | \(-0.800305\pi\) | ||||
−0.809581 | + | 0.587009i | \(0.800305\pi\) | |||||||
\(312\) | 0.0163052 | − | 0.102947i | 0.000923101 | − | 0.00582823i | ||||
\(313\) | −5.74111 | + | 0.909303i | −0.324507 | + | 0.0513968i | −0.316563 | − | 0.948572i | \(-0.602529\pi\) |
−0.00794419 | + | 0.999968i | \(0.502529\pi\) | |||||||
\(314\) | −2.95253 | − | 0.959336i | −0.166621 | − | 0.0541384i | ||||
\(315\) | 8.95581 | − | 9.55488i | 0.504603 | − | 0.538356i | ||||
\(316\) | 2.06011i | 0.115890i | ||||||||
\(317\) | −3.49396 | − | 6.85728i | −0.196240 | − | 0.385143i | 0.771827 | − | 0.635832i | \(-0.219343\pi\) |
−0.968068 | + | 0.250689i | \(0.919343\pi\) | |||||||
\(318\) | 0.193180 | − | 0.379138i | 0.0108330 | − | 0.0212610i | ||||
\(319\) | 50.1298 | − | 16.2882i | 2.80673 | − | 0.911962i | ||||
\(320\) | 1.76556 | − | 1.37216i | 0.0986976 | − | 0.0767058i | ||||
\(321\) | −0.212446 | − | 0.0690279i | −0.0118576 | − | 0.00385276i | ||||
\(322\) | −0.0853406 | − | 0.0135166i | −0.00475585 | − | 0.000753252i | ||||
\(323\) | 5.22963 | − | 0.828292i | 0.290984 | − | 0.0460874i | ||||
\(324\) | −8.54931 | + | 2.77784i | −0.474962 | + | 0.154324i | ||||
\(325\) | −14.7289 | + | 3.32127i | −0.817014 | + | 0.184231i | ||||
\(326\) | 19.2128 | + | 13.9589i | 1.06410 | + | 0.773114i | ||||
\(327\) | 0.0247739 | − | 0.0486214i | 0.00137000 | − | 0.00268877i | ||||
\(328\) | 0.793584 | + | 5.01049i | 0.0438184 | + | 0.276658i | ||||
\(329\) | −2.89275 | − | 3.98152i | −0.159482 | − | 0.219508i | ||||
\(330\) | −0.420567 | − | 0.121759i | −0.0231515 | − | 0.00670262i | ||||
\(331\) | −20.7682 | − | 28.5850i | −1.14153 | − | 1.57118i | −0.764051 | − | 0.645156i | \(-0.776792\pi\) |
−0.377475 | − | 0.926020i | \(-0.623208\pi\) | |||||||
\(332\) | −1.47990 | + | 2.90446i | −0.0812200 | + | 0.159403i | ||||
\(333\) | −9.83831 | − | 5.01287i | −0.539136 | − | 0.274704i | ||||
\(334\) | 6.07349 | − | 18.6923i | 0.332327 | − | 1.02280i | ||||
\(335\) | −17.3348 | − | 16.2480i | −0.947102 | − | 0.887721i | ||||
\(336\) | − | 0.0674099i | − | 0.00367751i | ||||||
\(337\) | 4.05823 | − | 2.06777i | 0.221066 | − | 0.112639i | −0.339951 | − | 0.940443i | \(-0.610410\pi\) |
0.561017 | + | 0.827804i | \(0.310410\pi\) | |||||||
\(338\) | 0.607139 | + | 3.83332i | 0.0330240 | + | 0.208505i | ||||
\(339\) | −0.468705 | + | 0.340534i | −0.0254566 | + | 0.0184953i | ||||
\(340\) | 4.54755 | + | 4.26243i | 0.246626 | + | 0.231163i | ||||
\(341\) | −31.5823 | − | 0.438873i | −1.71028 | − | 0.0237663i | ||||
\(342\) | 4.02793 | − | 4.02793i | 0.217806 | − | 0.217806i | ||||
\(343\) | 19.6479 | + | 3.11193i | 1.06089 | + | 0.168028i | ||||
\(344\) | −4.22354 | − | 3.06858i | −0.227718 | − | 0.165447i | ||||
\(345\) | −0.000949579 | 0.00327993i | −5.11236e−5 | 0.000176585i | ||||||
\(346\) | −17.6250 | −0.947525 | ||||||||
\(347\) | 17.0082 | + | 17.0082i | 0.913049 | + | 0.913049i | 0.996511 | − | 0.0834619i | \(-0.0265977\pi\) |
−0.0834619 | + | 0.996511i | \(0.526598\pi\) | |||||||
\(348\) | 0.285751 | − | 0.145597i | 0.0153179 | − | 0.00780484i | ||||
\(349\) | 3.52713 | − | 1.14603i | 0.188803 | − | 0.0613458i | −0.213089 | − | 0.977033i | \(-0.568353\pi\) |
0.401892 | + | 0.915687i | \(0.368353\pi\) | |||||||
\(350\) | −9.07250 | + | 3.61172i | −0.484945 | + | 0.193054i | ||||
\(351\) | 0.505844 | − | 0.367517i | 0.0270000 | − | 0.0196166i | ||||
\(352\) | 5.05459 | − | 2.57544i | 0.269411 | − | 0.137272i | ||||
\(353\) | −2.59476 | + | 16.3827i | −0.138105 | + | 0.871963i | 0.817203 | + | 0.576350i | \(0.195524\pi\) |
−0.955308 | + | 0.295612i | \(0.904476\pi\) | |||||||
\(354\) | 0.0782255 | + | 0.0568341i | 0.00415764 | + | 0.00302070i | ||||
\(355\) | −3.25357 | + | 1.17480i | −0.172682 | + | 0.0623519i | ||||
\(356\) | −8.55454 | + | 11.7743i | −0.453390 | + | 0.624037i | ||||
\(357\) | 0.185586 | − | 0.0293940i | 0.00982227 | − | 0.00155570i | ||||
\(358\) | −11.8831 | − | 6.05473i | −0.628041 | − | 0.320003i | ||||
\(359\) | −16.9015 | + | 23.2629i | −0.892026 | + | 1.22777i | 0.0809164 | + | 0.996721i | \(0.474215\pi\) |
−0.972942 | + | 0.231048i | \(0.925785\pi\) | |||||||
\(360\) | 6.65345 | + | 0.834199i | 0.350668 | + | 0.0439662i | ||||
\(361\) | 4.75631 | − | 14.6384i | 0.250332 | − | 0.770443i | ||||
\(362\) | −13.3433 | − | 2.11337i | −0.701309 | − | 0.111076i | ||||
\(363\) | −0.651430 | − | 0.331920i | −0.0341912 | − | 0.0174213i | ||||
\(364\) | −1.82245 | − | 5.60891i | −0.0955221 | − | 0.293987i | ||||
\(365\) | −15.4950 | + | 8.53733i | −0.811044 | + | 0.446865i | ||||
\(366\) | 0.226078 | 0.0118173 | ||||||||
\(367\) | −11.6599 | − | 11.6599i | −0.608644 | − | 0.608644i | 0.333948 | − | 0.942592i | \(-0.391619\pi\) |
−0.942592 | + | 0.333948i | \(0.891619\pi\) | |||||||
\(368\) | −0.0200854 | − | 0.0394199i | −0.00104703 | − | 0.00205490i | ||||
\(369\) | −8.94186 | + | 12.3074i | −0.465495 | + | 0.640699i | ||||
\(370\) | 5.05236 | + | 6.50089i | 0.262660 | + | 0.337965i | ||||
\(371\) | − | 24.0766i | − | 1.24999i | ||||||
\(372\) | −0.190211 | + | 0.0274230i | −0.00986200 | + | 0.00142181i | ||||
\(373\) | 16.9373 | + | 16.9373i | 0.876980 | + | 0.876980i | 0.993221 | − | 0.116241i | \(-0.0370845\pi\) |
−0.116241 | + | 0.993221i | \(0.537084\pi\) | |||||||
\(374\) | 9.29451 | + | 12.7928i | 0.480608 | + | 0.661500i | ||||
\(375\) | 0.0970194 | + | 0.373508i | 0.00501006 | + | 0.0192879i | ||||
\(376\) | 0.778705 | − | 2.39661i | 0.0401586 | − | 0.123596i | ||||
\(377\) | 19.8399 | − | 19.8399i | 1.02181 | − | 1.02181i | ||||
\(378\) | 0.285939 | − | 0.285939i | 0.0147071 | − | 0.0147071i | ||||
\(379\) | 16.5201 | + | 5.36769i | 0.848579 | + | 0.275720i | 0.700851 | − | 0.713308i | \(-0.252804\pi\) |
0.147728 | + | 0.989028i | \(0.452804\pi\) | |||||||
\(380\) | −3.99504 | + | 1.44253i | −0.204941 | + | 0.0740003i | ||||
\(381\) | 0.149429 | + | 0.459896i | 0.00765550 | + | 0.0235612i | ||||
\(382\) | 3.69455 | − | 23.3265i | 0.189030 | − | 1.19349i | ||||
\(383\) | 12.2890 | + | 24.1185i | 0.627937 | + | 1.23240i | 0.957547 | + | 0.288279i | \(0.0930829\pi\) |
−0.329609 | + | 0.944117i | \(0.606917\pi\) | |||||||
\(384\) | 0.0279242 | − | 0.0202881i | 0.00142500 | − | 0.00103532i | ||||
\(385\) | −24.3306 | + | 4.66491i | −1.24000 | + | 0.237746i | ||||
\(386\) | −8.03932 | − | 24.7425i | −0.409191 | − | 1.25936i | ||||
\(387\) | −2.44906 | − | 15.4628i | −0.124493 | − | 0.786017i | ||||
\(388\) | 1.88824 | + | 11.9219i | 0.0958608 | + | 0.605241i | ||||
\(389\) | 3.29079 | + | 10.1280i | 0.166850 | + | 0.513510i | 0.999168 | − | 0.0407877i | \(-0.0129867\pi\) |
−0.832318 | + | 0.554298i | \(0.812987\pi\) | |||||||
\(390\) | −0.228897 | + | 0.0438865i | −0.0115906 | + | 0.00222228i | ||||
\(391\) | 0.0997688 | − | 0.0724862i | 0.00504552 | − | 0.00366579i | ||||
\(392\) | 1.44633 | + | 2.83858i | 0.0730506 | + | 0.143370i | ||||
\(393\) | −0.116939 | + | 0.738322i | −0.00589878 | + | 0.0372434i | ||||
\(394\) | −1.56246 | − | 4.80877i | −0.0787158 | − | 0.242262i | ||||
\(395\) | 4.33275 | − | 1.56447i | 0.218004 | − | 0.0787170i | ||||
\(396\) | 16.1793 | + | 5.25698i | 0.813042 | + | 0.264173i | ||||
\(397\) | −22.1373 | + | 22.1373i | −1.11104 | + | 1.11104i | −0.118027 | + | 0.993010i | \(0.537657\pi\) |
−0.993010 | + | 0.118027i | \(0.962343\pi\) | |||||||
\(398\) | −2.43628 | + | 2.43628i | −0.122120 | + | 0.122120i | ||||
\(399\) | −0.0395690 | + | 0.121781i | −0.00198093 | + | 0.00609667i | ||||
\(400\) | −4.22665 | − | 2.67123i | −0.211332 | − | 0.133561i | ||||
\(401\) | 15.2827 | + | 21.0348i | 0.763181 | + | 1.05043i | 0.996943 | + | 0.0781347i | \(0.0248964\pi\) |
−0.233762 | + | 0.972294i | \(0.575104\pi\) | |||||||
\(402\) | −0.259329 | − | 0.259329i | −0.0129342 | − | 0.0129342i | ||||
\(403\) | −15.0853 | + | 7.42417i | −0.751454 | + | 0.369824i | ||||
\(404\) | 0.736974i | 0.0366658i | ||||||||
\(405\) | 12.3347 | + | 15.8711i | 0.612915 | + | 0.788640i | ||||
\(406\) | 10.6661 | − | 14.6806i | 0.529347 | − | 0.728584i | ||||
\(407\) | 9.48295 | + | 18.6113i | 0.470052 | + | 0.922529i | ||||
\(408\) | 0.0680315 | + | 0.0680315i | 0.00336806 | + | 0.00336806i | ||||
\(409\) | 0.627954 | 0.0310503 | 0.0155252 | − | 0.999879i | \(-0.495058\pi\) | ||||
0.0155252 | + | 0.999879i | \(0.495058\pi\) | |||||||
\(410\) | 9.93523 | − | 5.47406i | 0.490666 | − | 0.270344i | ||||
\(411\) | −0.0673434 | − | 0.207262i | −0.00332181 | − | 0.0102235i | ||||
\(412\) | 7.75073 | + | 3.94919i | 0.381851 | + | 0.194563i | ||||
\(413\) | 5.40367 | + | 0.855857i | 0.265897 | + | 0.0421140i | ||||
\(414\) | 0.0409983 | − | 0.126180i | 0.00201496 | − | 0.00620140i | ||||
\(415\) | 7.23241 | + | 0.906789i | 0.355025 | + | 0.0445125i | ||||
\(416\) | 1.77497 | − | 2.44303i | 0.0870248 | − | 0.119779i | ||||
\(417\) | −0.156902 | − | 0.0799455i | −0.00768351 | − | 0.00391495i | ||||
\(418\) | −10.6432 | + | 1.68572i | −0.520578 | + | 0.0824515i | ||||
\(419\) | 7.71708 | − | 10.6216i | 0.377004 | − | 0.518902i | −0.577784 | − | 0.816190i | \(-0.696082\pi\) |
0.954788 | + | 0.297288i | \(0.0960823\pi\) | |||||||
\(420\) | −0.141774 | + | 0.0511918i | −0.00691787 | + | 0.00249790i | ||||
\(421\) | 21.0200 | + | 15.2719i | 1.02445 | + | 0.744307i | 0.967191 | − | 0.254052i | \(-0.0817634\pi\) |
0.0572606 | + | 0.998359i | \(0.481763\pi\) | |||||||
\(422\) | −0.857751 | + | 5.41563i | −0.0417547 | + | 0.263629i | ||||
\(423\) | 6.73318 | − | 3.43073i | 0.327378 | − | 0.166808i | ||||
\(424\) | 9.97358 | − | 7.24623i | 0.484360 | − | 0.351908i | ||||
\(425\) | 5.51113 | − | 12.8012i | 0.267329 | − | 0.620948i | ||||
\(426\) | −0.0507828 | + | 0.0165003i | −0.00246044 | + | 0.000799444i | ||||
\(427\) | 11.3977 | − | 5.80743i | 0.551574 | − | 0.281041i | ||||
\(428\) | −4.57619 | − | 4.57619i | −0.221199 | − | 0.221199i | ||||
\(429\) | −0.591288 | −0.0285477 | ||||||||
\(430\) | −3.24633 | + | 11.2131i | −0.156552 | + | 0.540744i | ||||
\(431\) | 2.40686 | + | 1.74869i | 0.115934 | + | 0.0842313i | 0.644242 | − | 0.764822i | \(-0.277173\pi\) |
−0.528307 | + | 0.849053i | \(0.677173\pi\) | |||||||
\(432\) | 0.204507 | + | 0.0323907i | 0.00983934 | + | 0.00155840i | ||||
\(433\) | 8.08981 | − | 8.08981i | 0.388771 | − | 0.388771i | −0.485478 | − | 0.874249i | \(-0.661354\pi\) |
0.874249 | + | 0.485478i | \(0.161354\pi\) | |||||||
\(434\) | −8.88506 | + | 6.26862i | −0.426497 | + | 0.300903i | ||||
\(435\) | −0.523217 | − | 0.490413i | −0.0250864 | − | 0.0235135i | ||||
\(436\) | 1.27903 | − | 0.929272i | 0.0612546 | − | 0.0445040i | ||||
\(437\) | 0.0131467 | + | 0.0830048i | 0.000628890 | + | 0.00397066i | ||||
\(438\) | −0.243320 | + | 0.123978i | −0.0116263 | + | 0.00592388i | ||||
\(439\) | 12.1121i | 0.578079i | 0.957317 | + | 0.289039i | \(0.0933358\pi\) | ||||
−0.957317 | + | 0.289039i | \(0.906664\pi\) | |||||||
\(440\) | −9.25509 | − | 8.67482i | −0.441219 | − | 0.413556i | ||||
\(441\) | −2.95224 | + | 9.08605i | −0.140583 | + | 0.432669i | ||||
\(442\) | 7.49988 | + | 3.82138i | 0.356733 | + | 0.181764i | ||||
\(443\) | −4.92630 | + | 9.66840i | −0.234055 | + | 0.459360i | −0.977922 | − | 0.208968i | \(-0.932990\pi\) |
0.743867 | + | 0.668328i | \(0.232990\pi\) | |||||||
\(444\) | 0.0747020 | + | 0.102819i | 0.00354520 | + | 0.00487955i | ||||
\(445\) | 31.2597 | + | 9.05006i | 1.48185 | + | 0.429014i | ||||
\(446\) | 15.5828 | + | 21.4479i | 0.737868 | + | 1.01559i | ||||
\(447\) | −0.0971964 | − | 0.613674i | −0.00459723 | − | 0.0290258i | ||||
\(448\) | 0.886641 | − | 1.74013i | 0.0418899 | − | 0.0822135i | ||||
\(449\) | −27.4106 | − | 19.9150i | −1.29359 | − | 0.939845i | −0.293715 | − | 0.955893i | \(-0.594892\pi\) |
−0.999871 | + | 0.0160475i | \(0.994892\pi\) | |||||||
\(450\) | −3.29824 | − | 14.6268i | −0.155480 | − | 0.689513i | ||||
\(451\) | 27.3698 | − | 8.89300i | 1.28880 | − | 0.418755i | ||||
\(452\) | −16.5783 | + | 2.62574i | −0.779777 | + | 0.123504i | ||||
\(453\) | −0.0532993 | − | 0.00844178i | −0.00250422 | − | 0.000396629i | ||||
\(454\) | 20.4874 | + | 6.65675i | 0.961521 | + | 0.312417i | ||||
\(455\) | −10.4125 | + | 8.09237i | −0.488144 | + | 0.379376i | ||||
\(456\) | −0.0623559 | + | 0.0202607i | −0.00292008 | + | 0.000948793i | ||||
\(457\) | −4.23532 | + | 8.31228i | −0.198120 | + | 0.388832i | −0.968597 | − | 0.248635i | \(-0.920018\pi\) |
0.770477 | + | 0.637467i | \(0.220018\pi\) | |||||||
\(458\) | 9.86420 | + | 19.3596i | 0.460924 | + | 0.904614i | ||||
\(459\) | 0.577152i | 0.0269391i | ||||||||
\(460\) | −0.0676534 | + | 0.0721788i | −0.00315436 | + | 0.00336536i | ||||
\(461\) | −29.8079 | − | 9.68517i | −1.38829 | − | 0.451084i | −0.482906 | − | 0.875672i | \(-0.660419\pi\) |
−0.905386 | + | 0.424589i | \(0.860419\pi\) | |||||||
\(462\) | −0.377702 | + | 0.0598221i | −0.0175723 | + | 0.00278318i | ||||
\(463\) | 2.63249 | − | 16.6209i | 0.122342 | − | 0.772439i | −0.847874 | − | 0.530198i | \(-0.822118\pi\) |
0.970216 | − | 0.242241i | \(-0.0778824\pi\) | |||||||
\(464\) | 9.29146 | 0.431345 | ||||||||
\(465\) | 0.202123 | + | 0.379220i | 0.00937325 | + | 0.0175859i | ||||
\(466\) | −7.78023 | −0.360412 | ||||||||
\(467\) | 6.41863 | − | 40.5256i | 0.297019 | − | 1.87530i | −0.161876 | − | 0.986811i | \(-0.551754\pi\) |
0.458895 | − | 0.888491i | \(-0.348246\pi\) | |||||||
\(468\) | 8.94416 | − | 1.41662i | 0.413444 | − | 0.0654831i | ||||
\(469\) | −19.7356 | − | 6.41250i | −0.911307 | − | 0.296102i | ||||
\(470\) | −5.63181 | + | 0.182264i | −0.259776 | + | 0.00840722i | ||||
\(471\) | 0.107155i | 0.00493743i | ||||||||
\(472\) | 1.27179 | + | 2.49602i | 0.0585388 | + | 0.114889i | ||||
\(473\) | −13.4453 | + | 26.3879i | −0.618216 | + | 1.21332i | ||||
\(474\) | 0.0676270 | − | 0.0219733i | 0.00310621 | − | 0.00100927i | ||||
\(475\) | 6.06775 | + | 7.30676i | 0.278408 | + | 0.335257i | ||||
\(476\) | 5.17738 | + | 1.68223i | 0.237305 | + | 0.0771050i | ||||
\(477\) | 36.5142 | + | 5.78328i | 1.67187 | + | 0.264798i | ||||
\(478\) | 11.3070 | − | 1.79085i | 0.517169 | − | 0.0819114i | ||||
\(479\) | 0.656294 | − | 0.213243i | 0.0299868 | − | 0.00974332i | −0.293985 | − | 0.955810i | \(-0.594982\pi\) |
0.323972 | + | 0.946067i | \(0.394982\pi\) | |||||||
\(480\) | −0.0638751 | − | 0.0433221i | −0.00291549 | − | 0.00197738i | ||||
\(481\) | 8.99539 | + | 6.53553i | 0.410154 | + | 0.297995i | ||||
\(482\) | −5.52906 | + | 10.8514i | −0.251842 | + | 0.494267i | ||||
\(483\) | 0.000466542 | 0.00294563i | 2.12284e−5 | 0.000134031i | ||||||
\(484\) | −12.4504 | − | 17.1365i | −0.565926 | − | 0.778931i | ||||
\(485\) | 23.6397 | − | 13.0249i | 1.07342 | − | 0.591429i | ||||
\(486\) | 0.547489 | + | 0.753554i | 0.0248346 | + | 0.0341819i | ||||
\(487\) | 2.62873 | − | 5.15917i | 0.119119 | − | 0.233784i | −0.823746 | − | 0.566959i | \(-0.808120\pi\) |
0.942865 | + | 0.333175i | \(0.108120\pi\) | |||||||
\(488\) | 5.83602 | + | 2.97360i | 0.264184 | + | 0.134609i | ||||
\(489\) | 0.253302 | − | 0.779584i | 0.0114547 | − | 0.0352540i | ||||
\(490\) | 4.87164 | − | 5.19751i | 0.220078 | − | 0.234800i | ||||
\(491\) | − | 17.7599i | − | 0.801493i | −0.916189 | − | 0.400746i | \(-0.868751\pi\) | ||
0.916189 | − | 0.400746i | \(-0.131249\pi\) | |||||||
\(492\) | 0.156014 | − | 0.0794932i | 0.00703366 | − | 0.00358383i | ||||
\(493\) | 4.05153 | + | 25.5803i | 0.182472 | + | 1.15208i | ||||
\(494\) | −4.64063 | + | 3.37162i | −0.208792 | + | 0.151696i | ||||
\(495\) | −1.23045 | − | 38.0200i | −0.0553047 | − | 1.70887i | ||||
\(496\) | −5.27084 | − | 1.79394i | −0.236668 | − | 0.0805505i | ||||
\(497\) | −2.13636 | + | 2.13636i | −0.0958287 | + | 0.0958287i | ||||
\(498\) | 0.111129 | + | 0.0176011i | 0.00497982 | + | 0.000788725i | ||||
\(499\) | 15.8163 | + | 11.4912i | 0.708035 | + | 0.514417i | 0.882539 | − | 0.470239i | \(-0.155832\pi\) |
−0.174504 | + | 0.984656i | \(0.555832\pi\) | |||||||
\(500\) | −2.40826 | + | 10.9179i | −0.107701 | + | 0.488263i | ||||
\(501\) | −0.678389 | −0.0303082 | ||||||||
\(502\) | 9.92454 | + | 9.92454i | 0.442954 | + | 0.442954i | ||||
\(503\) | 3.68478 | − | 1.87749i | 0.164296 | − | 0.0837130i | −0.369909 | − | 0.929068i | \(-0.620611\pi\) |
0.534205 | + | 0.845355i | \(0.320611\pi\) | |||||||
\(504\) | 5.57001 | − | 1.80981i | 0.248108 | − | 0.0806152i | ||||
\(505\) | 1.54998 | − | 0.559666i | 0.0689731 | − | 0.0249048i | ||||
\(506\) | −0.203048 | + | 0.147523i | −0.00902656 | + | 0.00655818i | ||||
\(507\) | 0.119360 | − | 0.0608170i | 0.00530097 | − | 0.00270098i | ||||
\(508\) | −2.19161 | + | 13.8373i | −0.0972370 | + | 0.613930i | ||||
\(509\) | 4.51246 | + | 3.27849i | 0.200011 | + | 0.145317i | 0.683283 | − | 0.730154i | \(-0.260552\pi\) |
−0.483272 | + | 0.875471i | \(0.660552\pi\) | |||||||
\(510\) | 0.0914176 | − | 0.194745i | 0.00404804 | − | 0.00862346i | ||||
\(511\) | −9.08225 | + | 12.5006i | −0.401775 | + | 0.552996i | ||||
\(512\) | 0.987688 | − | 0.156434i | 0.0436501 | − | 0.00691349i | ||||
\(513\) | −0.350443 | − | 0.178560i | −0.0154724 | − | 0.00788360i | ||||
\(514\) | −3.27699 | + | 4.51039i | −0.144542 | + | 0.198945i | ||||
\(515\) | 2.41982 | − | 19.3001i | 0.106630 | − | 0.850464i | ||||
\(516\) | −0.0556832 | + | 0.171375i | −0.00245131 | + | 0.00754437i | ||||
\(517\) | −14.1194 | − | 2.23629i | −0.620970 | − | 0.0983520i | ||||
\(518\) | 6.40727 | + | 3.26467i | 0.281519 | + | 0.143441i | ||||
\(519\) | 0.187990 | + | 0.578573i | 0.00825183 | + | 0.0253965i | ||||
\(520\) | −6.48602 | − | 1.87778i | −0.284431 | − | 0.0823461i | ||||
\(521\) | 18.6021 | 0.814972 | 0.407486 | − | 0.913212i | \(-0.366406\pi\) | ||||
0.407486 | + | 0.913212i | \(0.366406\pi\) | |||||||
\(522\) | 19.7023 | + | 19.7023i | 0.862348 | + | 0.862348i | ||||
\(523\) | 13.6136 | + | 26.7183i | 0.595283 | + | 1.16831i | 0.970439 | + | 0.241346i | \(0.0775890\pi\) |
−0.375156 | + | 0.926962i | \(0.622411\pi\) | |||||||
\(524\) | −12.7298 | + | 17.5211i | −0.556104 | + | 0.765412i | ||||
\(525\) | 0.215329 | + | 0.259299i | 0.00939774 | + | 0.0113167i | ||||
\(526\) | 20.3210i | 0.886039i | ||||||||
\(527\) | 2.64057 | − | 15.2934i | 0.115025 | − | 0.666191i | ||||
\(528\) | −0.138456 | − | 0.138456i | −0.00602554 | − | 0.00602554i | ||||
\(529\) | −13.5179 | − | 18.6058i | −0.587735 | − | 0.808948i | ||||
\(530\) | −22.8140 | − | 15.4732i | −0.990978 | − | 0.672113i | ||||
\(531\) | −2.59596 | + | 7.98956i | −0.112655 | + | 0.346717i | ||||
\(532\) | −2.62322 | + | 2.62322i | −0.113731 | + | 0.113731i | ||||
\(533\) | 10.8322 | − | 10.8322i | 0.469195 | − | 0.469195i | ||||
\(534\) | 0.477757 | + | 0.155233i | 0.0206746 | + | 0.00671758i | ||||
\(535\) | −6.14928 | + | 13.0997i | −0.265856 | + | 0.566349i | ||||
\(536\) | −3.28342 | − | 10.1053i | −0.141822 | − | 0.436483i | ||||
\(537\) | −0.0720118 | + | 0.454665i | −0.00310754 | + | 0.0196202i | ||||
\(538\) | 7.06206 | + | 13.8601i | 0.304467 | + | 0.597550i | ||||
\(539\) | 14.6212 | − | 10.6229i | 0.629780 | − | 0.457562i | ||||
\(540\) | −0.0871816 | − | 0.454709i | −0.00375170 | − | 0.0195676i | ||||
\(541\) | −3.23443 | − | 9.95456i | −0.139059 | − | 0.427980i | 0.857140 | − | 0.515083i | \(-0.172239\pi\) |
−0.996199 | + | 0.0871034i | \(0.972239\pi\) | |||||||
\(542\) | 2.42258 | + | 15.2956i | 0.104059 | + | 0.657000i | ||||
\(543\) | 0.0729455 | + | 0.460560i | 0.00313039 | + | 0.0197645i | ||||
\(544\) | 0.861360 | + | 2.65099i | 0.0369305 | + | 0.113660i | ||||
\(545\) | −2.92572 | − | 1.98432i | −0.125324 | − | 0.0849988i | ||||
\(546\) | −0.164684 | + | 0.119650i | −0.00704785 | + | 0.00512056i | ||||
\(547\) | −2.92976 | − | 5.74997i | −0.125267 | − | 0.245851i | 0.819853 | − | 0.572575i | \(-0.194055\pi\) |
−0.945120 | + | 0.326724i | \(0.894055\pi\) | |||||||
\(548\) | 0.987694 | − | 6.23606i | 0.0421922 | − | 0.266391i | ||||
\(549\) | 6.06970 | + | 18.6806i | 0.259048 | + | 0.797269i | ||||
\(550\) | −11.2162 | + | 26.0527i | −0.478258 | + | 1.11089i | ||||
\(551\) | −16.7857 | − | 5.45400i | −0.715094 | − | 0.232348i | ||||
\(552\) | −0.00107980 | + | 0.00107980i | −4.59592e−5 | + | 4.59592e-5i | ||||
\(553\) | 2.84496 | − | 2.84496i | 0.120980 | − | 0.120980i | ||||
\(554\) | −2.80063 | + | 8.61945i | −0.118987 | + | 0.366205i | ||||
\(555\) | 0.159515 | − | 0.235192i | 0.00677102 | − | 0.00998335i | ||||
\(556\) | −2.99877 | − | 4.12745i | −0.127176 | − | 0.175043i | ||||
\(557\) | −19.1191 | − | 19.1191i | −0.810104 | − | 0.810104i | 0.174545 | − | 0.984649i | \(-0.444155\pi\) |
−0.984649 | + | 0.174545i | \(0.944155\pi\) | |||||||
\(558\) | −7.37268 | − | 14.9807i | −0.312111 | − | 0.634184i | ||||
\(559\) | 15.7649i | 0.666782i | ||||||||
\(560\) | −4.33310 | − | 0.543278i | −0.183107 | − | 0.0229577i | ||||
\(561\) | 0.320811 | − | 0.441558i | 0.0135446 | − | 0.0186426i | ||||
\(562\) | 2.17904 | + | 4.27660i | 0.0919171 | + | 0.180397i | ||||
\(563\) | −4.58638 | − | 4.58638i | −0.193293 | − | 0.193293i | 0.603824 | − | 0.797117i | \(-0.293643\pi\) |
−0.797117 | + | 0.603824i | \(0.793643\pi\) | |||||||
\(564\) | −0.0869788 | −0.00366247 | ||||||||
\(565\) | 18.1121 | + | 32.8728i | 0.761981 | + | 1.38297i | ||||
\(566\) | −1.32276 | − | 4.07104i | −0.0555997 | − | 0.171118i | ||||
\(567\) | 15.6425 | + | 7.97026i | 0.656924 | + | 0.334720i | ||||
\(568\) | −1.52794 | − | 0.242003i | −0.0641111 | − | 0.0101542i | ||||
\(569\) | −1.71123 | + | 5.26663i | −0.0717386 | + | 0.220789i | −0.980497 | − | 0.196534i | \(-0.937031\pi\) |
0.908758 | + | 0.417322i | \(0.137031\pi\) | |||||||
\(570\) | 0.0899652 | + | 0.115759i | 0.00376823 | + | 0.00484859i | ||||
\(571\) | −18.1616 | + | 24.9974i | −0.760041 | + | 1.04611i | 0.237170 | + | 0.971468i | \(0.423780\pi\) |
−0.997211 | + | 0.0746385i | \(0.976220\pi\) | |||||||
\(572\) | −15.2636 | − | 7.77720i | −0.638204 | − | 0.325181i | ||||
\(573\) | −0.805141 | + | 0.127522i | −0.0336352 | + | 0.00532730i | ||||
\(574\) | 5.82345 | − | 8.01529i | 0.243066 | − | 0.334552i | ||||
\(575\) | 0.203181 | + | 0.0874728i | 0.00847322 | + | 0.00364787i | ||||
\(576\) | 2.42609 | + | 1.76266i | 0.101087 | + | 0.0734440i | ||||
\(577\) | 4.34118 | − | 27.4091i | 0.180726 | − | 1.14106i | −0.715879 | − | 0.698224i | \(-0.753974\pi\) |
0.896605 | − | 0.442832i | \(-0.146026\pi\) | |||||||
\(578\) | 8.22425 | − | 4.19047i | 0.342084 | − | 0.174300i | ||||
\(579\) | −0.726470 | + | 0.527811i | −0.0301911 | + | 0.0219351i | ||||
\(580\) | −7.05603 | − | 19.5415i | −0.292986 | − | 0.811415i | ||||
\(581\) | 6.05470 | − | 1.96729i | 0.251191 | − | 0.0816170i | ||||
\(582\) | 0.371217 | − | 0.189145i | 0.0153875 | − | 0.00784030i | ||||
\(583\) | −49.4520 | − | 49.4520i | −2.04809 | − | 2.04809i | ||||
\(584\) | −7.91177 | −0.327391 | ||||||||
\(585\) | −9.77167 | − | 17.7352i | −0.404009 | − | 0.733262i | ||||
\(586\) | −2.99923 | − | 2.17907i | −0.123897 | − | 0.0900166i | ||||
\(587\) | 3.23281 | + | 0.512027i | 0.133432 | + | 0.0211336i | 0.222793 | − | 0.974866i | \(-0.428482\pi\) |
−0.0893610 | + | 0.995999i | \(0.528482\pi\) | |||||||
\(588\) | 0.0777549 | − | 0.0777549i | 0.00320656 | − | 0.00320656i | ||||
\(589\) | 8.46912 | + | 6.33482i | 0.348964 | + | 0.261022i | ||||
\(590\) | 4.28374 | − | 4.57028i | 0.176359 | − | 0.188156i | ||||
\(591\) | −0.141191 | + | 0.102582i | −0.00580784 | + | 0.00421964i | ||||
\(592\) | 0.576001 | + | 3.63673i | 0.0236735 | + | 0.149469i | ||||
\(593\) | −3.39823 | + | 1.73148i | −0.139549 | + | 0.0711036i | −0.522371 | − | 0.852719i | \(-0.674952\pi\) |
0.382822 | + | 0.923822i | \(0.374952\pi\) | |||||||
\(594\) | − | 1.17461i | − | 0.0481948i | ||||||
\(595\) | −0.393744 | − | 12.1664i | −0.0161419 | − | 0.498773i | ||||
\(596\) | 5.56259 | − | 17.1199i | 0.227853 | − | 0.701259i | ||||
\(597\) | 0.105961 | + | 0.0539898i | 0.00433669 | + | 0.00220965i | ||||
\(598\) | −0.0606530 | + | 0.119038i | −0.00248029 | + | 0.00486784i | ||||
\(599\) | −19.1192 | − | 26.3153i | −0.781190 | − | 1.07522i | −0.995150 | − | 0.0983730i | \(-0.968636\pi\) |
0.213960 | − | 0.976842i | \(-0.431364\pi\) | |||||||
\(600\) | −0.0426061 | + | 0.167239i | −0.00173939 | + | 0.00682751i | ||||
\(601\) | −0.678554 | − | 0.933950i | −0.0276788 | − | 0.0380966i | 0.794953 | − | 0.606671i | \(-0.207495\pi\) |
−0.822632 | + | 0.568574i | \(0.807495\pi\) | |||||||
\(602\) | 1.59497 | + | 10.0702i | 0.0650061 | + | 0.410432i | ||||
\(603\) | 14.4657 | − | 28.3905i | 0.589089 | − | 1.15615i | ||||
\(604\) | −1.26484 | − | 0.918962i | −0.0514657 | − | 0.0373920i | ||||
\(605\) | −26.5859 | + | 39.1988i | −1.08087 | + | 1.59366i | ||||
\(606\) | 0.0241925 | − | 0.00786063i | 0.000982755 | − | 0.000319316i | ||||
\(607\) | −35.8154 | + | 5.67260i | −1.45370 | + | 0.230244i | −0.832769 | − | 0.553620i | \(-0.813246\pi\) |
−0.620933 | + | 0.783864i | \(0.713246\pi\) | |||||||
\(608\) | −1.87615 | − | 0.297154i | −0.0760881 | − | 0.0120512i | ||||
\(609\) | −0.595682 | − | 0.193549i | −0.0241382 | − | 0.00784299i | ||||
\(610\) | 1.82204 | − | 14.5323i | 0.0737721 | − | 0.588395i | ||||
\(611\) | −7.23716 | + | 2.35149i | −0.292784 | + | 0.0951313i | ||||
\(612\) | −3.79488 | + | 7.44787i | −0.153399 | + | 0.301062i | ||||
\(613\) | −15.7653 | − | 30.9411i | −0.636753 | − | 1.24970i | −0.953558 | − | 0.301208i | \(-0.902610\pi\) |
0.316805 | − | 0.948491i | \(-0.397390\pi\) | |||||||
\(614\) | − | 16.7847i | − | 0.677376i | ||||||
\(615\) | −0.285666 | − | 0.267755i | −0.0115192 | − | 0.0107969i | ||||
\(616\) | −10.5369 | − | 3.42365i | −0.424544 | − | 0.137943i | ||||
\(617\) | 22.6571 | − | 3.58854i | 0.912141 | − | 0.144469i | 0.317312 | − | 0.948321i | \(-0.397220\pi\) |
0.594829 | + | 0.803852i | \(0.297220\pi\) | |||||||
\(618\) | 0.0469696 | − | 0.296554i | 0.00188939 | − | 0.0119292i | ||||
\(619\) | 5.60182 | 0.225156 | 0.112578 | − | 0.993643i | \(-0.464089\pi\) | ||||
0.112578 | + | 0.993643i | \(0.464089\pi\) | |||||||
\(620\) | 0.229772 | + | 12.4478i | 0.00922786 | + | 0.499915i | ||||
\(621\) | −0.00916057 | −0.000367601 | ||||||||
\(622\) | −4.46686 | + | 28.2027i | −0.179105 | + | 1.13082i | ||||
\(623\) | 28.0737 | − | 4.44643i | 1.12475 | − | 0.178143i | ||||
\(624\) | −0.0991289 | − | 0.0322089i | −0.00396833 | − | 0.00128939i | ||||
\(625\) | 24.7910 | − | 3.22618i | 0.991638 | − | 0.129047i | ||||
\(626\) | 5.81268i | 0.232321i | ||||||||
\(627\) | 0.168859 | + | 0.331404i | 0.00674357 | + | 0.0132350i | ||||
\(628\) | −1.40940 | + | 2.76611i | −0.0562413 | + | 0.110380i | ||||
\(629\) | −9.76112 | + | 3.17158i | −0.389201 | + | 0.126459i | ||||
\(630\) | −8.03624 | − | 10.3403i | −0.320172 | − | 0.411966i | ||||
\(631\) | 25.9756 | + | 8.43999i | 1.03407 | + | 0.335991i | 0.776399 | − | 0.630241i | \(-0.217044\pi\) |
0.257674 | + | 0.966232i | \(0.417044\pi\) | |||||||
\(632\) | 2.03475 | + | 0.322272i | 0.0809379 | + | 0.0128193i | ||||
\(633\) | 0.186927 | − | 0.0296063i | 0.00742967 | − | 0.00117674i | ||||
\(634\) | −7.31944 | + | 2.37823i | −0.290692 | + | 0.0944515i | ||||
\(635\) | 30.7664 | − | 5.89886i | 1.22093 | − | 0.234089i | ||||
\(636\) | −0.344250 | − | 0.250112i | −0.0136504 | − | 0.00991759i | ||||
\(637\) | 4.36755 | − | 8.57180i | 0.173049 | − | 0.339627i | ||||
\(638\) | −8.24559 | − | 52.0606i | −0.326446 | − | 2.06110i | ||||
\(639\) | −2.72681 | − | 3.75313i | −0.107871 | − | 0.148472i | ||||
\(640\) | −1.07907 | − | 1.95847i | −0.0426539 | − | 0.0774154i | ||||
\(641\) | 23.4107 | + | 32.2221i | 0.924667 | + | 1.27270i | 0.961904 | + | 0.273389i | \(0.0881445\pi\) |
−0.0372366 | + | 0.999306i | \(0.511856\pi\) | |||||||
\(642\) | −0.101412 | + | 0.199032i | −0.00400241 | + | 0.00785517i | ||||
\(643\) | −32.3484 | − | 16.4824i | −1.27570 | − | 0.650001i | −0.320860 | − | 0.947127i | \(-0.603972\pi\) |
−0.954838 | + | 0.297126i | \(0.903972\pi\) | |||||||
\(644\) | −0.0267004 | + | 0.0821755i | −0.00105214 | + | 0.00323817i | ||||
\(645\) | 0.402716 | − | 0.0130332i | 0.0158569 | − | 0.000513183i | ||||
\(646\) | − | 5.29482i | − | 0.208322i | ||||||
\(647\) | −10.9972 | + | 5.60337i | −0.432346 | + | 0.220291i | −0.656599 | − | 0.754240i | \(-0.728006\pi\) |
0.224253 | + | 0.974531i | \(0.428006\pi\) | |||||||
\(648\) | 1.40623 | + | 8.87861i | 0.0552421 | + | 0.348785i | ||||
\(649\) | 12.8567 | − | 9.34097i | 0.504671 | − | 0.366665i | ||||
\(650\) | 0.976269 | + | 15.0672i | 0.0382924 | + | 0.590983i | ||||
\(651\) | 0.300548 | + | 0.224807i | 0.0117794 | + | 0.00881088i | ||||
\(652\) | 16.7926 | − | 16.7926i | 0.657650 | − | 0.657650i | ||||
\(653\) | −20.0699 | − | 3.17876i | −0.785396 | − | 0.124395i | −0.249160 | − | 0.968462i | \(-0.580154\pi\) |
−0.536237 | + | 0.844068i | \(0.680154\pi\) | |||||||
\(654\) | −0.0441473 | − | 0.0320749i | −0.00172630 | − | 0.00125423i | ||||
\(655\) | 46.5168 | + | 13.4672i | 1.81756 | + | 0.526206i | ||||
\(656\) | 5.07295 | 0.198065 | ||||||||
\(657\) | −16.7767 | − | 16.7767i | −0.654523 | − | 0.654523i | ||||
\(658\) | −4.38503 | + | 2.23428i | −0.170946 | + | 0.0871015i | ||||
\(659\) | −10.9403 | + | 3.55473i | −0.426175 | + | 0.138473i | −0.514248 | − | 0.857641i | \(-0.671929\pi\) |
0.0880735 | + | 0.996114i | \(0.471929\pi\) | |||||||
\(660\) | −0.186051 | + | 0.396342i | −0.00724204 | + | 0.0154276i | ||||
\(661\) | −4.65235 | + | 3.38013i | −0.180956 | + | 0.131472i | −0.674576 | − | 0.738206i | \(-0.735673\pi\) |
0.493620 | + | 0.869678i | \(0.335673\pi\) | |||||||
\(662\) | −31.4820 | + | 16.0409i | −1.22358 | + | 0.623446i | ||||
\(663\) | 0.0454495 | − | 0.286957i | 0.00176511 | − | 0.0111445i | ||||
\(664\) | 2.63720 | + | 1.91604i | 0.102343 | + | 0.0743567i | ||||
\(665\) | 7.50916 | + | 3.52496i | 0.291193 | + | 0.136692i | ||||
\(666\) | −6.49021 | + | 8.93300i | −0.251490 | + | 0.346147i | ||||
\(667\) | −0.406012 | + | 0.0643060i | −0.0157208 | + | 0.00248994i | ||||
\(668\) | −17.5120 | − | 8.92283i | −0.677561 | − | 0.345235i | ||||
\(669\) | 0.537859 | − | 0.740300i | 0.0207948 | − | 0.0286216i | ||||
\(670\) | −18.7597 | + | 14.5796i | −0.724750 | + | 0.563261i | ||||
\(671\) | 11.4822 | − | 35.3385i | 0.443264 | − | 1.36423i | ||||
\(672\) | −0.0665800 | − | 0.0105452i | −0.00256838 | − | 0.000406791i | ||||
\(673\) | 3.30924 | + | 1.68614i | 0.127562 | + | 0.0649960i | 0.516607 | − | 0.856223i | \(-0.327195\pi\) |
−0.389045 | + | 0.921219i | \(0.627195\pi\) | |||||||
\(674\) | −1.40747 | − | 4.33174i | −0.0542136 | − | 0.166852i | ||||
\(675\) | −0.890121 | + | 0.528668i | −0.0342608 | + | 0.0203484i | ||||
\(676\) | 3.88110 | 0.149273 | ||||||||
\(677\) | −27.2168 | − | 27.2168i | −1.04603 | − | 1.04603i | −0.998888 | − | 0.0471380i | \(-0.984990\pi\) |
−0.0471380 | − | 0.998888i | \(-0.515010\pi\) | |||||||
\(678\) | 0.263020 | + | 0.516206i | 0.0101012 | + | 0.0198248i | ||||
\(679\) | 13.8562 | − | 19.0714i | 0.531752 | − | 0.731894i | ||||
\(680\) | 4.92135 | − | 3.82477i | 0.188725 | − | 0.146673i | ||||
\(681\) | − | 0.743538i | − | 0.0284924i | ||||||
\(682\) | −5.37404 | + | 31.1249i | −0.205783 | + | 1.19183i | ||||
\(683\) | −25.6664 | − | 25.6664i | −0.982096 | − | 0.982096i | 0.0177469 | − | 0.999843i | \(-0.494351\pi\) |
−0.999843 | + | 0.0177469i | \(0.994351\pi\) | |||||||
\(684\) | −3.34824 | − | 4.60845i | −0.128023 | − | 0.176209i | ||||
\(685\) | −13.8655 | + | 2.65844i | −0.529774 | + | 0.101574i | ||||
\(686\) | 6.14722 | − | 18.9192i | 0.234702 | − | 0.722339i | ||||
\(687\) | 0.530301 | − | 0.530301i | 0.0202323 | − | 0.0202323i | ||||
\(688\) | −3.69151 | + | 3.69151i | −0.140737 | + | 0.140737i | ||||
\(689\) | −35.4055 | − | 11.5039i | −1.34884 | − | 0.438265i | ||||
\(690\) | 0.00309100 | + | 0.00145098i | 0.000117672 | + | 5.52379e-5i | ||||
\(691\) | 11.7796 | + | 36.2539i | 0.448117 | + | 1.37916i | 0.879029 | + | 0.476769i | \(0.158192\pi\) |
−0.430912 | + | 0.902394i | \(0.641808\pi\) | |||||||
\(692\) | −2.75716 | + | 17.4080i | −0.104811 | + | 0.661753i | ||||
\(693\) | −15.0835 | − | 29.6030i | −0.572975 | − | 1.12453i | ||||
\(694\) | 19.4595 | − | 14.1381i | 0.738672 | − | 0.536677i | ||||
\(695\) | −6.40341 | + | 9.44133i | −0.242895 | + | 0.358130i | ||||
\(696\) | −0.0991036 | − | 0.305009i | −0.00375651 | − | 0.0115614i | ||||
\(697\) | 2.21205 | + | 13.9663i | 0.0837874 | + | 0.529013i | ||||
\(698\) | −0.580160 | − | 3.66299i | −0.0219594 | − | 0.138646i | ||||
\(699\) | 0.0829846 | + | 0.255400i | 0.00313877 | + | 0.00966013i | ||||
\(700\) | 2.14800 | + | 9.52580i | 0.0811868 | + | 0.360041i | ||||
\(701\) | −4.31349 | + | 3.13393i | −0.162918 | + | 0.118367i | −0.666257 | − | 0.745722i | \(-0.732105\pi\) |
0.503339 | + | 0.864089i | \(0.332105\pi\) | |||||||
\(702\) | −0.283861 | − | 0.557109i | −0.0107136 | − | 0.0210267i | ||||
\(703\) | 1.09414 | − | 6.90811i | 0.0412662 | − | 0.260544i | ||||
\(704\) | −1.75302 | − | 5.39525i | −0.0660696 | − | 0.203341i | ||||
\(705\) | 0.0660526 | + | 0.182931i | 0.00248768 | + | 0.00688956i | ||||
\(706\) | 15.7751 | + | 5.12564i | 0.593703 | + | 0.192906i | ||||
\(707\) | 1.01774 | − | 1.01774i | 0.0382762 | − | 0.0382762i | ||||
\(708\) | 0.0683716 | − | 0.0683716i | 0.00256956 | − | 0.00256956i | ||||
\(709\) | 0.0256596 | − | 0.0789722i | 0.000963667 | − | 0.00296586i | −0.950574 | − | 0.310500i | \(-0.899504\pi\) |
0.951537 | + | 0.307534i | \(0.0995037\pi\) | |||||||
\(710\) | 0.651366 | + | 3.39730i | 0.0244453 | + | 0.127498i | ||||
\(711\) | 3.63127 | + | 4.99801i | 0.136183 | + | 0.187440i | ||||
\(712\) | 10.2911 | + | 10.2911i | 0.385676 | + | 0.385676i | ||||
\(713\) | 0.242737 | + | 0.0419112i | 0.00909059 | + | 0.00156959i | ||||
\(714\) | − | 0.187900i | − | 0.00703197i | ||||||
\(715\) | −4.76538 | + | 38.0080i | −0.178215 | + | 1.42142i | ||||
\(716\) | −7.83912 | + | 10.7896i | −0.292961 | + | 0.403227i | ||||
\(717\) | −0.179389 | − | 0.352071i | −0.00669940 | − | 0.0131483i | ||||
\(718\) | 20.3325 | + | 20.3325i | 0.758803 | + | 0.758803i | ||||
\(719\) | 42.7233 | 1.59331 | 0.796655 | − | 0.604435i | \(-0.206601\pi\) | ||||
0.796655 | + | 0.604435i | \(0.206601\pi\) | |||||||
\(720\) | 1.86476 | − | 6.44104i | 0.0694954 | − | 0.240043i | ||||
\(721\) | −5.24983 | − | 16.1573i | −0.195514 | − | 0.601730i | ||||
\(722\) | −13.7141 | − | 6.98771i | −0.510388 | − | 0.260055i | ||||
\(723\) | 0.415190 | + | 0.0657596i | 0.0154411 | + | 0.00244563i | ||||
\(724\) | −4.17471 | + | 12.8484i | −0.155152 | + | 0.477508i | ||||
\(725\) | −35.7405 | + | 29.6800i | −1.32737 | + | 1.10229i | ||||
\(726\) | −0.429739 | + | 0.591486i | −0.0159491 | + | 0.0219521i | ||||
\(727\) | 26.1859 | + | 13.3424i | 0.971180 | + | 0.494841i | 0.866235 | − | 0.499637i | \(-0.166533\pi\) |
0.104945 | + | 0.994478i | \(0.466533\pi\) | |||||||
\(728\) | −5.82495 | + | 0.922581i | −0.215887 | + | 0.0341931i | ||||
\(729\) | −15.8324 | + | 21.7914i | −0.586385 | + | 0.807090i | ||||
\(730\) | 6.00828 | + | 16.6397i | 0.222376 | + | 0.615864i | ||||
\(731\) | −11.7728 | − | 8.55342i | −0.435432 | − | 0.316360i | ||||
\(732\) | 0.0353664 | − | 0.223295i | 0.00130718 | − | 0.00825321i | ||||
\(733\) | −25.9516 | + | 13.2230i | −0.958544 | + | 0.488403i | −0.861990 | − | 0.506925i | \(-0.830782\pi\) |
−0.0965539 | + | 0.995328i | \(0.530782\pi\) | |||||||
\(734\) | −13.3404 | + | 9.69237i | −0.492403 | + | 0.357752i | ||||
\(735\) | −0.222579 | − | 0.104483i | −0.00820995 | − | 0.00385393i | ||||
\(736\) | −0.0420766 | + | 0.0136715i | −0.00155097 | + | 0.000503939i | ||||
\(737\) | −53.7069 | + | 27.3650i | −1.97832 | + | 1.00800i | ||||
\(738\) | 10.7571 | + | 10.7571i | 0.395973 | + | 0.395973i | ||||
\(739\) | 16.6028 | 0.610745 | 0.305373 | − | 0.952233i | \(-0.401219\pi\) | ||||
0.305373 | + | 0.952233i | \(0.401219\pi\) | |||||||
\(740\) | 7.21121 | − | 3.97319i | 0.265089 | − | 0.146058i | ||||
\(741\) | 0.160177 | + | 0.116375i | 0.00588425 | + | 0.00427516i | ||||
\(742\) | −23.7801 | − | 3.76640i | −0.872996 | − | 0.138269i | ||||
\(743\) | −24.9154 | + | 24.9154i | −0.914056 | + | 0.914056i | −0.996588 | − | 0.0825327i | \(-0.973699\pi\) |
0.0825327 | + | 0.996588i | \(0.473699\pi\) | |||||||
\(744\) | −0.00267028 | + | 0.192159i | −9.78971e−5 | + | 0.00704491i | ||||
\(745\) | −40.2303 | + | 1.30198i | −1.47392 | + | 0.0477010i | ||||
\(746\) | 19.3784 | − | 14.0792i | 0.709492 | − | 0.515476i | ||||
\(747\) | 1.52921 | + | 9.65504i | 0.0559508 | + | 0.353259i | ||||
\(748\) | 14.0893 | − | 7.17884i | 0.515155 | − | 0.262485i | ||||
\(749\) | 12.6392i | 0.461827i | ||||||||
\(750\) | 0.384087 | − | 0.0373954i | 0.0140249 | − | 0.00136549i | ||||
\(751\) | 13.1028 | − | 40.3263i | 0.478128 | − | 1.47153i | −0.363564 | − | 0.931569i | \(-0.618440\pi\) |
0.841692 | − | 0.539958i | \(-0.181560\pi\) | |||||||
\(752\) | −2.24528 | − | 1.14403i | −0.0818771 | − | 0.0417185i | ||||
\(753\) | 0.219935 | − | 0.431647i | 0.00801489 | − | 0.0157301i | ||||
\(754\) | −16.4920 | − | 22.6993i | −0.600604 | − | 0.826660i | ||||
\(755\) | −0.972192 | + | 3.35804i | −0.0353817 | + | 0.122212i | ||||
\(756\) | −0.237688 | − | 0.327150i | −0.00864464 | − | 0.0118983i | ||||
\(757\) | −1.49414 | − | 9.43363i | −0.0543055 | − | 0.342871i | −0.999849 | − | 0.0173757i | \(-0.994469\pi\) |
0.945544 | − | 0.325496i | \(-0.105531\pi\) | |||||||
\(758\) | 7.88592 | − | 15.4770i | 0.286429 | − | 0.562149i | ||||
\(759\) | 0.00700843 | + | 0.00509192i | 0.000254390 | + | 0.000184825i | ||||
\(760\) | 0.799808 | + | 4.17152i | 0.0290121 | + | 0.151317i | ||||
\(761\) | 42.2928 | − | 13.7418i | 1.53311 | − | 0.498138i | 0.583646 | − | 0.812008i | \(-0.301625\pi\) |
0.949466 | + | 0.313869i | \(0.101625\pi\) | |||||||
\(762\) | 0.477610 | − | 0.0756460i | 0.0173020 | − | 0.00274037i | ||||
\(763\) | −3.04962 | − | 0.483012i | −0.110403 | − | 0.0174862i | ||||
\(764\) | −22.4613 | − | 7.29813i | −0.812622 | − | 0.264037i | ||||
\(765\) | 18.5460 | + | 2.32526i | 0.670530 | + | 0.0840700i | ||||
\(766\) | 25.7439 | − | 8.36471i | 0.930167 | − | 0.302229i | ||||
\(767\) | 3.84048 | − | 7.53737i | 0.138672 | − | 0.272159i | ||||
\(768\) | −0.0156700 | − | 0.0307541i | −0.000565443 | − | 0.00110974i | ||||
\(769\) | − | 14.3245i | − | 0.516554i | −0.966071 | − | 0.258277i | \(-0.916845\pi\) | ||
0.966071 | − | 0.258277i | \(-0.0831547\pi\) | |||||||
\(770\) | 0.801341 | + | 24.7608i | 0.0288783 | + | 0.892316i | ||||
\(771\) | 0.183015 | + | 0.0594650i | 0.00659111 | + | 0.00214158i | ||||
\(772\) | −25.6955 | + | 4.06977i | −0.924801 | + | 0.146474i | ||||
\(773\) | 1.97695 | − | 12.4820i | 0.0711059 | − | 0.448945i | −0.926289 | − | 0.376813i | \(-0.877020\pi\) |
0.997395 | − | 0.0721317i | \(-0.0229802\pi\) | |||||||
\(774\) | −15.6555 | −0.562726 | ||||||||
\(775\) | 26.0052 | − | 9.93622i | 0.934135 | − | 0.356919i | ||||
\(776\) | 12.0705 | 0.433305 | ||||||||
\(777\) | 0.0388282 | − | 0.245152i | 0.00139295 | − | 0.00879477i | ||||
\(778\) | 10.5181 | − | 1.66590i | 0.377092 | − | 0.0597256i | ||||
\(779\) | −9.16464 | − | 2.97777i | −0.328357 | − | 0.106690i | ||||
\(780\) | 0.00753884 | + | 0.232944i | 0.000269934 | + | 0.00834073i | ||||
\(781\) | 8.77593i | 0.314027i | ||||||||
\(782\) | −0.0559866 | − | 0.109880i | −0.00200207 | − | 0.00392929i | ||||
\(783\) | 0.873411 | − | 1.71417i | 0.0312132 | − | 0.0612593i | ||||
\(784\) | 3.02989 | − | 0.984470i | 0.108210 | − | 0.0351596i | ||||
\(785\) | 6.88789 | + | 0.863593i | 0.245839 | + | 0.0308230i | ||||
\(786\) | 0.710939 | + | 0.230998i | 0.0253583 | + | 0.00823943i | ||||
\(787\) | −17.0852 | − | 2.70603i | −0.609021 | − | 0.0964595i | −0.155696 | − | 0.987805i | \(-0.549762\pi\) |
−0.453325 | + | 0.891346i | \(0.649762\pi\) | |||||||
\(788\) | −4.99399 | + | 0.790970i | −0.177904 | + | 0.0281772i | ||||
\(789\) | 0.667075 | − | 0.216746i | 0.0237485 | − | 0.00771635i | ||||
\(790\) | −0.867417 | − | 4.52414i | −0.0308613 | − | 0.160962i | ||||
\(791\) | 26.5203 | + | 19.2681i | 0.942953 | + | 0.685095i | ||||
\(792\) | 7.72327 | − | 15.1578i | 0.274434 | − | 0.538608i | ||||
\(793\) | −3.09414 | − | 19.5356i | −0.109876 | − | 0.693730i | ||||
\(794\) | 18.4017 | + | 25.3278i | 0.653052 | + | 0.898848i | ||||
\(795\) | −0.264600 | + | 0.913951i | −0.00938439 | + | 0.0324145i | ||||
\(796\) | 2.02517 | + | 2.78740i | 0.0717801 | + | 0.0987969i | ||||
\(797\) | −16.1881 | + | 31.7709i | −0.573411 | + | 1.12538i | 0.404143 | + | 0.914696i | \(0.367570\pi\) |
−0.977554 | + | 0.210686i | \(0.932430\pi\) | |||||||
\(798\) | 0.114092 | + | 0.0581325i | 0.00403880 | + | 0.00205787i | ||||
\(799\) | 2.17058 | − | 6.68035i | 0.0767895 | − | 0.236334i | ||||
\(800\) | −3.29953 | + | 3.75674i | −0.116656 | + | 0.132821i | ||||
\(801\) | 43.6442i | 1.54209i | ||||||||
\(802\) | 23.1666 | − | 11.8040i | 0.818040 | − | 0.416812i | ||||
\(803\) | 7.02120 | + | 44.3301i | 0.247773 | + | 1.56438i | ||||
\(804\) | −0.296705 | + | 0.215568i | −0.0104640 | + | 0.00760251i | ||||
\(805\) | 0.193105 | − | 0.00624952i | 0.00680606 | − | 0.000220267i | ||||
\(806\) | 4.97290 | + | 16.0610i | 0.175163 | + | 0.565725i | ||||
\(807\) | 0.379658 | − | 0.379658i | 0.0133646 | − | 0.0133646i | ||||
\(808\) | 0.727901 | + | 0.115288i | 0.0256075 | + | 0.00405582i | ||||
\(809\) | 15.4769 | + | 11.2446i | 0.544138 | + | 0.395339i | 0.825620 | − | 0.564227i | \(-0.190826\pi\) |
−0.281482 | + | 0.959567i | \(0.590826\pi\) | |||||||
\(810\) | 17.6053 | − | 9.70004i | 0.618585 | − | 0.340825i | ||||
\(811\) | −39.0122 | −1.36990 | −0.684952 | − | 0.728589i | \(-0.740177\pi\) | ||||
−0.684952 | + | 0.728589i | \(0.740177\pi\) | |||||||
\(812\) | −12.8313 | − | 12.8313i | −0.450290 | − | 0.450290i | ||||
\(813\) | 0.476265 | − | 0.242669i | 0.0167034 | − | 0.00851078i | ||||
\(814\) | 19.8657 | − | 6.45474i | 0.696291 | − | 0.226239i | ||||
\(815\) | −48.0701 | − | 22.5652i | −1.68382 | − | 0.790423i | ||||
\(816\) | 0.0778364 | − | 0.0565515i | 0.00272482 | − | 0.00197970i | ||||
\(817\) | 8.83585 | − | 4.50209i | 0.309127 | − | 0.157508i | ||||
\(818\) | 0.0982336 | − | 0.620223i | 0.00343466 | − | 0.0216856i | ||||
\(819\) | −14.3080 | − | 10.3954i | −0.499962 | − | 0.363243i | ||||
\(820\) | −3.85245 | − | 10.6692i | −0.134533 | − | 0.372586i | ||||
\(821\) | −12.2496 | + | 16.8601i | −0.427513 | + | 0.588421i | −0.967380 | − | 0.253329i | \(-0.918474\pi\) |
0.539868 | + | 0.841750i | \(0.318474\pi\) | |||||||
\(822\) | −0.215245 | + | 0.0340914i | −0.00750753 | + | 0.00118908i | ||||
\(823\) | 3.71205 | + | 1.89138i | 0.129394 | + | 0.0659294i | 0.517489 | − | 0.855690i | \(-0.326867\pi\) |
−0.388095 | + | 0.921619i | \(0.626867\pi\) | |||||||
\(824\) | 5.11305 | − | 7.03751i | 0.178122 | − | 0.245163i | ||||
\(825\) | 0.974861 | + | 0.0903104i | 0.0339403 | + | 0.00314420i | ||||
\(826\) | 1.69064 | − | 5.20326i | 0.0588249 | − | 0.181044i | ||||
\(827\) | 39.2796 | + | 6.22128i | 1.36589 | + | 0.216335i | 0.795954 | − | 0.605357i | \(-0.206970\pi\) |
0.569932 | + | 0.821692i | \(0.306970\pi\) | |||||||
\(828\) | −0.118213 | − | 0.0602324i | −0.00410818 | − | 0.00209322i | ||||
\(829\) | −1.47597 | − | 4.54258i | −0.0512626 | − | 0.157770i | 0.922148 | − | 0.386837i | \(-0.126432\pi\) |
−0.973411 | + | 0.229067i | \(0.926432\pi\) | |||||||
\(830\) | 2.02702 | − | 7.00152i | 0.0703590 | − | 0.243026i | ||||
\(831\) | 0.312821 | 0.0108516 | ||||||||
\(832\) | −2.13529 | − | 2.13529i | −0.0740277 | − | 0.0740277i | ||||
\(833\) | 4.03152 | + | 7.91231i | 0.139684 | + | 0.274145i | ||||
\(834\) | −0.103506 | + | 0.142464i | −0.00358412 | + | 0.00493312i | ||||
\(835\) | −5.46735 | + | 43.6068i | −0.189205 | + | 1.50907i | ||||
\(836\) | 10.7759i | 0.372693i | ||||||||
\(837\) | −0.826428 | + | 0.803775i | −0.0285655 | + | 0.0277825i | ||||
\(838\) | −9.28366 | − | 9.28366i | −0.320699 | − | 0.320699i | ||||
\(839\) | −12.2154 | − | 16.8131i | −0.421722 | − | 0.580451i | 0.544306 | − | 0.838887i | \(-0.316793\pi\) |
−0.966028 | + | 0.258436i | \(0.916793\pi\) | |||||||
\(840\) | 0.0283832 | + | 0.148037i | 0.000979313 | + | 0.00510775i | ||||
\(841\) | 17.7163 | − | 54.5253i | 0.610908 | − | 1.88018i | ||||
\(842\) | 18.3721 | − | 18.3721i | 0.633146 | − | 0.633146i | ||||
\(843\) | 0.117145 | − | 0.117145i | 0.00403470 | − | 0.00403470i | ||||
\(844\) | 5.21477 | + | 1.69438i | 0.179500 | + | 0.0583230i | ||||
\(845\) | −2.94735 | − | 8.16260i | −0.101392 | − | 0.280802i | ||||
\(846\) | −2.33519 | − | 7.18697i | −0.0802854 | − | 0.247093i | ||||
\(847\) | −6.47139 | + | 40.8587i | −0.222359 | + | 1.40392i | ||||
\(848\) | −5.59680 | − | 10.9843i | −0.192195 | − | 0.377204i | ||||
\(849\) | −0.119531 | + | 0.0868440i | −0.00410228 | + | 0.00298048i | ||||
\(850\) | −11.7814 | − | 7.44583i | −0.404100 | − | 0.255390i | ||||
\(851\) | −0.0503394 | − | 0.154929i | −0.00172561 | − | 0.00531089i | ||||
\(852\) | 0.00835301 | + | 0.0527388i | 0.000286169 | + | 0.00180680i | ||||
\(853\) | −6.04464 | − | 38.1643i | −0.206964 | − | 1.30672i | −0.844190 | − | 0.536044i | \(-0.819918\pi\) |
0.637225 | − | 0.770677i | \(-0.280082\pi\) | |||||||
\(854\) | −3.95293 | − | 12.1659i | −0.135267 | − | 0.416308i | ||||
\(855\) | −7.14964 | + | 10.5416i | −0.244513 | + | 0.360515i | ||||
\(856\) | −5.23573 | + | 3.80398i | −0.178953 | + | 0.130017i | ||||
\(857\) | 8.59517 | + | 16.8690i | 0.293605 | + | 0.576233i | 0.989941 | − | 0.141484i | \(-0.0451873\pi\) |
−0.696335 | + | 0.717717i | \(0.745187\pi\) | |||||||
\(858\) | −0.0924979 | + | 0.584009i | −0.00315783 | + | 0.0199377i | ||||
\(859\) | 8.68131 | + | 26.7183i | 0.296202 | + | 0.911617i | 0.982815 | + | 0.184594i | \(0.0590969\pi\) |
−0.686612 | + | 0.727024i | \(0.740903\pi\) | |||||||
\(860\) | 10.5672 | + | 4.96048i | 0.360339 | + | 0.169151i | ||||
\(861\) | −0.325230 | − | 0.105674i | −0.0110838 | − | 0.00360135i | ||||
\(862\) | 2.10367 | − | 2.10367i | 0.0716514 | − | 0.0716514i | ||||
\(863\) | −1.67208 | + | 1.67208i | −0.0569184 | + | 0.0569184i | −0.734993 | − | 0.678075i | \(-0.762815\pi\) |
0.678075 | + | 0.734993i | \(0.262815\pi\) | |||||||
\(864\) | 0.0639838 | − | 0.196922i | 0.00217677 | − | 0.00669942i | ||||
\(865\) | 38.7057 | − | 7.42106i | 1.31603 | − | 0.252324i | ||||
\(866\) | −6.72468 | − | 9.25573i | −0.228514 | − | 0.314523i | ||||
\(867\) | −0.225280 | − | 0.225280i | −0.00765092 | − | 0.00765092i | ||||
\(868\) | 4.80151 | + | 9.75630i | 0.162974 | + | 0.331150i | ||||
\(869\) | − | 11.6868i | − | 0.396448i | ||||||
\(870\) | −0.566224 | + | 0.440058i | −0.0191968 | + | 0.0149194i | ||||
\(871\) | −18.8596 | + | 25.9581i | −0.639035 | + | 0.879556i | ||||
\(872\) | −0.717746 | − | 1.40866i | −0.0243059 | − | 0.0477031i | ||||
\(873\) | 25.5952 | + | 25.5952i | 0.866266 | + | 0.866266i | ||||
\(874\) | 0.0840395 | 0.00284268 | ||||||||
\(875\) | 18.4031 | − | 11.7516i | 0.622138 | − | 0.397276i | ||||
\(876\) | 0.0843876 | + | 0.259718i | 0.00285119 | + | 0.00877507i | ||||
\(877\) | −24.9760 | − | 12.7259i | −0.843378 | − | 0.429723i | −0.0217615 | − | 0.999763i | \(-0.506927\pi\) |
−0.821616 | + | 0.570041i | \(0.806927\pi\) | |||||||
\(878\) | 11.9630 | + | 1.89475i | 0.403731 | + | 0.0639447i | ||||
\(879\) | −0.0395419 | + | 0.121698i | −0.00133372 | + | 0.00410476i | ||||
\(880\) | −10.0158 | + | 7.78411i | −0.337634 | + | 0.262402i | ||||
\(881\) | −17.3543 | + | 23.8862i | −0.584683 | + | 0.804747i | −0.994199 | − | 0.107556i | \(-0.965697\pi\) |
0.409516 | + | 0.912303i | \(0.365697\pi\) | |||||||
\(882\) | 8.51235 | + | 4.33726i | 0.286626 | + | 0.146043i | ||||
\(883\) | −4.95696 | + | 0.785105i | −0.166815 | + | 0.0264209i | −0.239283 | − | 0.970950i | \(-0.576912\pi\) |
0.0724682 | + | 0.997371i | \(0.476912\pi\) | |||||||
\(884\) | 4.94757 | − | 6.80975i | 0.166405 | − | 0.229037i | ||||
\(885\) | −0.195719 | − | 0.0918745i | −0.00657901 | − | 0.00308833i | ||||
\(886\) | 8.77873 | + | 6.37812i | 0.294927 | + | 0.214277i | ||||
\(887\) | 6.33016 | − | 39.9671i | 0.212546 | − | 1.34196i | −0.618512 | − | 0.785776i | \(-0.712264\pi\) |
0.831057 | − | 0.556187i | \(-0.187736\pi\) | |||||||
\(888\) | 0.113239 | − | 0.0576980i | 0.00380004 | − | 0.00193622i | ||||
\(889\) | 22.1355 | − | 16.0824i | 0.742402 | − | 0.539386i | ||||
\(890\) | 13.8287 | − | 29.4591i | 0.463540 | − | 0.987472i | ||||
\(891\) | 48.4994 | − | 15.7584i | 1.62479 | − | 0.527927i | ||||
\(892\) | 23.6215 | − | 12.0358i | 0.790907 | − | 0.402987i | ||||
\(893\) | 3.38473 | + | 3.38473i | 0.113266 | + | 0.113266i | ||||
\(894\) | −0.621324 | −0.0207802 | ||||||||
\(895\) | 28.6454 | + | 8.29320i | 0.957511 | + | 0.277211i | ||||
\(896\) | −1.58001 | − | 1.14794i | −0.0527843 | − | 0.0383500i | ||||
\(897\) | 0.00455458 | 0.000721375i | 0.000152073 | 2.40860e-5i | ||||||
\(898\) | −23.9577 | + | 23.9577i | −0.799480 | + | 0.799480i | ||||
\(899\) | −30.9863 | + | 41.4261i | −1.03345 | + | 1.38164i | ||||
\(900\) | −14.9627 | + | 0.969499i | −0.498756 | + | 0.0323166i | ||||
\(901\) | 27.8005 | − | 20.1983i | 0.926170 | − | 0.672902i | ||||
\(902\) | −4.50193 | − | 28.4240i | −0.149898 | − | 0.946417i | ||||
\(903\) | 0.313562 | − | 0.159768i | 0.0104347 | − | 0.00531674i | ||||
\(904\) | 16.7849i | 0.558258i | ||||||||
\(905\) | 30.1926 | − | 0.977134i | 1.00364 | − | 0.0324810i | ||||
\(906\) | −0.0166757 | + | 0.0513225i | −0.000554013 | + | 0.00170508i | ||||
\(907\) | 15.3588 | + | 7.82568i | 0.509980 | + | 0.259848i | 0.689992 | − | 0.723817i | \(-0.257614\pi\) |
−0.180013 | + | 0.983664i | \(0.557614\pi\) | |||||||
\(908\) | 9.77973 | − | 19.1938i | 0.324552 | − | 0.636969i | ||||
\(909\) | 1.29903 | + | 1.78796i | 0.0430862 | + | 0.0593030i | ||||
\(910\) | 6.36387 | + | 11.5502i | 0.210960 | + | 0.382886i | ||||
\(911\) | 8.86607 | + | 12.2031i | 0.293746 | + | 0.404307i | 0.930226 | − | 0.366986i | \(-0.119610\pi\) |
−0.636480 | + | 0.771293i | \(0.719610\pi\) | |||||||
\(912\) | 0.0102566 | + | 0.0647577i | 0.000339630 | + | 0.00214434i | ||||
\(913\) | 8.39532 | − | 16.4768i | 0.277845 | − | 0.545301i | ||||
\(914\) | 7.54739 | + | 5.48350i | 0.249645 | + | 0.181378i | ||||
\(915\) | −0.496483 | + | 0.0951910i | −0.0164132 | + | 0.00314692i | ||||
\(916\) | 20.6643 | − | 6.71425i | 0.682769 | − | 0.221845i | ||||
\(917\) | 41.7757 | − | 6.61663i | 1.37956 | − | 0.218500i | ||||
\(918\) | 0.570046 | + | 0.0902864i | 0.0188143 | + | 0.00297990i | ||||
\(919\) | −12.6128 | − | 4.09815i | −0.416058 | − | 0.135185i | 0.0935051 | − | 0.995619i | \(-0.470193\pi\) |
−0.509563 | + | 0.860433i | \(0.670193\pi\) | |||||||
\(920\) | 0.0607069 | + | 0.0781117i | 0.00200145 | + | 0.00257527i | ||||
\(921\) | −0.550989 | + | 0.179027i | −0.0181557 | + | 0.00589915i | ||||
\(922\) | −14.2289 | + | 27.9258i | −0.468604 | + | 0.919688i | ||||
\(923\) | 2.12083 | + | 4.16236i | 0.0698079 | + | 0.137006i | ||||
\(924\) | 0.382410i | 0.0125804i | ||||||||
\(925\) | −13.8325 | − | 12.1491i | −0.454811 | − | 0.399459i | ||||
\(926\) | −16.0045 | − | 5.20016i | −0.525939 | − | 0.170888i | ||||
\(927\) | 25.7650 | − | 4.08078i | 0.846234 | − | 0.134030i | ||||
\(928\) | 1.45350 | − | 9.17707i | 0.0477136 | − | 0.301252i | ||||
\(929\) | 33.3045 | 1.09268 | 0.546342 | − | 0.837562i | \(-0.316020\pi\) | ||||
0.546342 | + | 0.837562i | \(0.316020\pi\) | |||||||
\(930\) | 0.406171 | − | 0.140312i | 0.0133189 | − | 0.00460100i | ||||
\(931\) | −6.05158 | −0.198332 | ||||||||
\(932\) | −1.21710 | + | 7.68445i | −0.0398673 | + | 0.251712i | ||||
\(933\) | 0.973448 | − | 0.154179i | 0.0318693 | − | 0.00504760i | ||||
\(934\) | −39.0226 | − | 12.6792i | −1.27686 | − | 0.414876i | ||||
\(935\) | −25.7978 | − | 24.1804i | −0.843679 | − | 0.790782i | ||||
\(936\) | − | 9.05566i | − | 0.295993i | ||||||
\(937\) | −16.5834 | − | 32.5468i | −0.541756 | − | 1.06326i | −0.985905 | − | 0.167303i | \(-0.946494\pi\) |
0.444149 | − | 0.895953i | \(-0.353506\pi\) | |||||||
\(938\) | −9.42088 | + | 18.4895i | −0.307603 | + | 0.603704i | ||||
\(939\) | 0.190812 | − | 0.0619985i | 0.00622691 | − | 0.00202324i | ||||
\(940\) | −0.700989 | + | 5.59099i | −0.0228638 | + | 0.182358i | ||||
\(941\) | −23.7269 | − | 7.70932i | −0.773473 | − | 0.251317i | −0.104422 | − | 0.994533i | \(-0.533299\pi\) |
−0.669051 | + | 0.743216i | \(0.733299\pi\) | |||||||
\(942\) | 0.105835 | + | 0.0167627i | 0.00344830 | + | 0.000546158i | ||||
\(943\) | −0.221674 | + | 0.0351097i | −0.00721870 | + | 0.00114333i | ||||
\(944\) | 2.66424 | − | 0.865665i | 0.0867138 | − | 0.0281750i | ||||
\(945\) | −0.507547 | + | 0.748338i | −0.0165105 | + | 0.0243434i | ||||
\(946\) | 23.9597 | + | 17.4078i | 0.778998 | + | 0.565975i | ||||
\(947\) | −21.6593 | + | 42.5088i | −0.703834 | + | 1.38135i | 0.210986 | + | 0.977489i | \(0.432332\pi\) |
−0.914820 | + | 0.403862i | \(0.867668\pi\) | |||||||
\(948\) | −0.0111236 | − | 0.0702317i | −0.000361278 | − | 0.00228102i | ||||
\(949\) | 14.0431 | + | 19.3287i | 0.455859 | + | 0.627436i | ||||
\(950\) | 8.16601 | − | 4.85002i | 0.264940 | − | 0.157355i | ||||
\(951\) | 0.156139 | + | 0.214908i | 0.00506317 | + | 0.00696885i | ||||
\(952\) | 2.47144 | − | 4.85048i | 0.0800998 | − | 0.157205i | ||||
\(953\) | 15.4046 | + | 7.84904i | 0.499004 | + | 0.254255i | 0.685330 | − | 0.728233i | \(-0.259658\pi\) |
−0.186326 | + | 0.982488i | \(0.559658\pi\) | |||||||
\(954\) | 11.4242 | − | 35.1600i | 0.369871 | − | 1.13835i | ||||
\(955\) | 1.70820 | + | 52.7821i | 0.0552762 | + | 1.70799i | ||||
\(956\) | − | 11.4479i | − | 0.370252i | ||||||
\(957\) | −1.62104 | + | 0.825960i | −0.0524007 | + | 0.0266995i | ||||
\(958\) | −0.107950 | − | 0.681573i | −0.00348772 | − | 0.0220206i | ||||
\(959\) | −9.97583 | + | 7.24786i | −0.322136 | + | 0.234046i | ||||
\(960\) | −0.0527810 | + | 0.0563116i | −0.00170350 | + | 0.00181745i | ||||
\(961\) | 25.5762 | − | 17.5174i | 0.825037 | − | 0.565078i | ||||
\(962\) | 7.86226 | − | 7.86226i | 0.253489 | − | 0.253489i | ||||
\(963\) | −19.1685 | − | 3.03599i | −0.617696 | − | 0.0978335i | ||||
\(964\) | 9.85285 | + | 7.15851i | 0.317339 | + | 0.230560i | ||||
\(965\) | 28.0728 | + | 50.9512i | 0.903696 | + | 1.64018i | ||||
\(966\) | 0.00298235 | 9.59555e−5 | ||||||||
\(967\) | −16.8000 | − | 16.8000i | −0.540252 | − | 0.540252i | 0.383351 | − | 0.923603i | \(-0.374770\pi\) |
−0.923603 | + | 0.383351i | \(0.874770\pi\) | |||||||
\(968\) | −18.8732 | + | 9.61636i | −0.606606 | + | 0.309081i | ||||
\(969\) | −0.173812 | + | 0.0564750i | −0.00558365 | + | 0.00181424i | ||||
\(970\) | −9.16644 | − | 25.3862i | −0.294317 | − | 0.815102i | ||||
\(971\) | −19.6694 | + | 14.2907i | −0.631222 | + | 0.458609i | −0.856823 | − | 0.515610i | \(-0.827565\pi\) |
0.225602 | + | 0.974220i | \(0.427565\pi\) | |||||||
\(972\) | 0.829922 | − | 0.422867i | 0.0266198 | − | 0.0135635i | ||||
\(973\) | −1.55868 | + | 9.84114i | −0.0499691 | + | 0.315492i | ||||
\(974\) | −4.68443 | − | 3.40344i | −0.150099 | − | 0.109053i | ||||
\(975\) | 0.484194 | − | 0.192755i | 0.0155066 | − | 0.00617312i | ||||
\(976\) | 3.84995 | − | 5.29900i | 0.123234 | − | 0.169617i | ||||
\(977\) | −2.04439 | + | 0.323800i | −0.0654059 | + | 0.0103593i | −0.189052 | − | 0.981967i | \(-0.560541\pi\) |
0.123646 | + | 0.992326i | \(0.460541\pi\) | |||||||
\(978\) | −0.730361 | − | 0.372137i | −0.0233544 | − | 0.0118996i | ||||
\(979\) | 48.5291 | − | 66.7946i | 1.55100 | − | 2.13476i | ||||
\(980\) | −4.37143 | − | 5.62473i | −0.139640 | − | 0.179675i | ||||
\(981\) | 1.46506 | − | 4.50899i | 0.0467757 | − | 0.143961i | ||||
\(982\) | −17.5412 | − | 2.77826i | −0.559764 | − | 0.0886578i | ||||
\(983\) | 9.65247 | + | 4.91818i | 0.307866 | + | 0.156866i | 0.601097 | − | 0.799176i | \(-0.294730\pi\) |
−0.293231 | + | 0.956042i | \(0.594730\pi\) | |||||||
\(984\) | −0.0541085 | − | 0.166529i | −0.00172492 | − | 0.00530875i | ||||
\(985\) | 5.45603 | + | 9.90251i | 0.173843 | + | 0.315520i | ||||
\(986\) | 25.8992 | 0.824799 | ||||||||
\(987\) | 0.120116 | + | 0.120116i | 0.00382332 | + | 0.00382332i | ||||
\(988\) | 2.60415 | + | 5.11094i | 0.0828491 | + | 0.162601i | ||||
\(989\) | 0.135760 | − | 0.186858i | 0.00431692 | − | 0.00594173i | ||||
\(990\) | −37.7444 | − | 4.73233i | −1.19960 | − | 0.150403i | ||||
\(991\) | − | 18.9885i | − | 0.603188i | −0.953436 | − | 0.301594i | \(-0.902481\pi\) | ||
0.953436 | − | 0.301594i | \(-0.0975187\pi\) | |||||||
\(992\) | −2.59640 | + | 4.92531i | −0.0824358 | + | 0.156379i | ||||
\(993\) | 0.862361 | + | 0.862361i | 0.0273662 | + | 0.0273662i | ||||
\(994\) | 1.77586 | + | 2.44425i | 0.0563267 | + | 0.0775271i | ||||
\(995\) | 4.32443 | − | 6.37604i | 0.137094 | − | 0.202134i | ||||
\(996\) | 0.0347689 | − | 0.107008i | 0.00110169 | − | 0.00339066i | ||||
\(997\) | 3.26083 | − | 3.26083i | 0.103272 | − | 0.103272i | −0.653583 | − | 0.756855i | \(-0.726735\pi\) |
0.756855 | + | 0.653583i | \(0.226735\pi\) | |||||||
\(998\) | 13.8239 | − | 13.8239i | 0.437589 | − | 0.437589i | ||||
\(999\) | 0.725079 | + | 0.235592i | 0.0229405 | + | 0.00745381i |
(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 | 310.2.s.a.263.13 | yes | 128 | |
5.2 | odd | 4 | inner | 310.2.s.a.77.12 | ✓ | 128 | |
31.29 | odd | 10 | inner | 310.2.s.a.153.12 | yes | 128 | |
155.122 | even | 20 | inner | 310.2.s.a.277.13 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
310.2.s.a.77.12 | ✓ | 128 | 5.2 | odd | 4 | inner | |
310.2.s.a.153.12 | yes | 128 | 31.29 | odd | 10 | inner | |
310.2.s.a.263.13 | yes | 128 | 1.1 | even | 1 | trivial | |
310.2.s.a.277.13 | yes | 128 | 155.122 | even | 20 | inner |