Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(391,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.391");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 391.7 | ||
Character | \(\chi\) | \(=\) | 980.391 |
Dual form | 980.2.g.a.391.5 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34325 | + | 0.442358i | −0.949821 | + | 0.312794i | ||||
\(3\) | −0.901278 | −0.520353 | −0.260177 | − | 0.965561i | \(-0.583781\pi\) | ||||
−0.260177 | + | 0.965561i | \(0.583781\pi\) | |||||||
\(4\) | 1.60864 | − | 1.18839i | 0.804320 | − | 0.594197i | ||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | 1.21064 | − | 0.398687i | 0.494242 | − | 0.162763i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.63511 | + | 2.30790i | −0.578098 | + | 0.815967i | ||||
\(9\) | −2.18770 | −0.729233 | ||||||||
\(10\) | 0.442358 | + | 1.34325i | 0.139886 | + | 0.424773i | ||||
\(11\) | 3.74246i | 1.12839i | 0.825640 | + | 0.564197i | \(0.190814\pi\) | ||||
−0.825640 | + | 0.564197i | \(0.809186\pi\) | |||||||
\(12\) | −1.44983 | + | 1.07107i | −0.418530 | + | 0.309192i | ||||
\(13\) | − | 2.41990i | − | 0.671161i | −0.942012 | − | 0.335580i | \(-0.891068\pi\) | ||
0.942012 | − | 0.335580i | \(-0.108932\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.901278i | 0.232709i | ||||||||
\(16\) | 1.17544 | − | 3.82339i | 0.293860 | − | 0.955848i | ||||
\(17\) | 0.583719i | 0.141573i | 0.997492 | + | 0.0707863i | \(0.0225508\pi\) | ||||
−0.997492 | + | 0.0707863i | \(0.977449\pi\) | |||||||
\(18\) | 2.93862 | − | 0.967745i | 0.692640 | − | 0.228100i | ||||
\(19\) | 6.15955 | 1.41310 | 0.706549 | − | 0.707664i | \(-0.250251\pi\) | ||||
0.706549 | + | 0.707664i | \(0.250251\pi\) | |||||||
\(20\) | −1.18839 | − | 1.60864i | −0.265733 | − | 0.359703i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.65551 | − | 5.02706i | −0.352955 | − | 1.07177i | ||||
\(23\) | − | 4.31210i | − | 0.899135i | −0.893246 | − | 0.449568i | \(-0.851578\pi\) | ||
0.893246 | − | 0.449568i | \(-0.148422\pi\) | |||||||
\(24\) | 1.47369 | − | 2.08006i | 0.300815 | − | 0.424591i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 1.07046 | + | 3.25054i | 0.209935 | + | 0.637482i | ||||
\(27\) | 4.67556 | 0.899812 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.435463 | −0.0808634 | −0.0404317 | − | 0.999182i | \(-0.512873\pi\) | ||||
−0.0404317 | + | 0.999182i | \(0.512873\pi\) | |||||||
\(30\) | −0.398687 | − | 1.21064i | −0.0727900 | − | 0.221032i | ||||
\(31\) | 2.53865 | 0.455955 | 0.227978 | − | 0.973666i | \(-0.426789\pi\) | ||||
0.227978 | + | 0.973666i | \(0.426789\pi\) | |||||||
\(32\) | 0.112397 | + | 5.65574i | 0.0198692 | + | 0.999803i | ||||
\(33\) | − | 3.37300i | − | 0.587164i | ||||||
\(34\) | −0.258212 | − | 0.784080i | −0.0442831 | − | 0.134469i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.51922 | + | 2.59985i | −0.586536 | + | 0.433308i | ||||
\(37\) | −11.3008 | −1.85784 | −0.928918 | − | 0.370285i | \(-0.879260\pi\) | ||||
−0.928918 | + | 0.370285i | \(0.879260\pi\) | |||||||
\(38\) | −8.27381 | + | 2.72472i | −1.34219 | + | 0.442009i | ||||
\(39\) | 2.18101i | 0.349241i | ||||||||
\(40\) | 2.30790 | + | 1.63511i | 0.364912 | + | 0.258533i | ||||
\(41\) | − | 7.35068i | − | 1.14798i | −0.818861 | − | 0.573992i | \(-0.805394\pi\) | ||
0.818861 | − | 0.573992i | \(-0.194606\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 5.80096i | − | 0.884637i | −0.896858 | − | 0.442319i | \(-0.854156\pi\) | ||
0.896858 | − | 0.442319i | \(-0.145844\pi\) | |||||||
\(44\) | 4.44752 | + | 6.02027i | 0.670489 | + | 0.907590i | ||||
\(45\) | 2.18770i | 0.326123i | ||||||||
\(46\) | 1.90749 | + | 5.79223i | 0.281244 | + | 0.854018i | ||||
\(47\) | −11.5765 | −1.68861 | −0.844305 | − | 0.535863i | \(-0.819986\pi\) | ||||
−0.844305 | + | 0.535863i | \(0.819986\pi\) | |||||||
\(48\) | −1.05940 | + | 3.44594i | −0.152911 | + | 0.497379i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.34325 | − | 0.442358i | 0.189964 | − | 0.0625588i | ||||
\(51\) | − | 0.526093i | − | 0.0736677i | ||||||
\(52\) | −2.87580 | − | 3.89275i | −0.398802 | − | 0.539828i | ||||
\(53\) | −3.11491 | −0.427866 | −0.213933 | − | 0.976848i | \(-0.568627\pi\) | ||||
−0.213933 | + | 0.976848i | \(0.568627\pi\) | |||||||
\(54\) | −6.28044 | + | 2.06827i | −0.854660 | + | 0.281456i | ||||
\(55\) | 3.74246 | 0.504633 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.55147 | −0.735310 | ||||||||
\(58\) | 0.584935 | − | 0.192630i | 0.0768057 | − | 0.0252936i | ||||
\(59\) | 3.47068 | 0.451844 | 0.225922 | − | 0.974145i | \(-0.427461\pi\) | ||||
0.225922 | + | 0.974145i | \(0.427461\pi\) | |||||||
\(60\) | 1.07107 | + | 1.44983i | 0.138275 | + | 0.187172i | ||||
\(61\) | − | 10.3877i | − | 1.33000i | −0.746842 | − | 0.665001i | \(-0.768431\pi\) | ||
0.746842 | − | 0.665001i | \(-0.231569\pi\) | |||||||
\(62\) | −3.41004 | + | 1.12299i | −0.433076 | + | 0.142620i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.65284 | − | 7.54735i | −0.331605 | − | 0.943418i | ||||
\(65\) | −2.41990 | −0.300152 | ||||||||
\(66\) | 1.49207 | + | 4.53078i | 0.183661 | + | 0.557700i | ||||
\(67\) | − | 9.84499i | − | 1.20276i | −0.798964 | − | 0.601379i | \(-0.794618\pi\) | ||
0.798964 | − | 0.601379i | \(-0.205382\pi\) | |||||||
\(68\) | 0.693688 | + | 0.938993i | 0.0841220 | + | 0.113870i | ||||
\(69\) | 3.88640i | 0.467868i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.96771i | 1.18295i | 0.806324 | + | 0.591475i | \(0.201454\pi\) | ||||
−0.806324 | + | 0.591475i | \(0.798546\pi\) | |||||||
\(72\) | 3.57712 | − | 5.04900i | 0.421568 | − | 0.595030i | ||||
\(73\) | − | 9.79892i | − | 1.14688i | −0.819249 | − | 0.573439i | \(-0.805609\pi\) | ||
0.819249 | − | 0.573439i | \(-0.194391\pi\) | |||||||
\(74\) | 15.1798 | − | 4.99899i | 1.76461 | − | 0.581120i | ||||
\(75\) | 0.901278 | 0.104071 | ||||||||
\(76\) | 9.90849 | − | 7.31997i | 1.13658 | − | 0.839658i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.964785 | − | 2.92964i | −0.109240 | − | 0.331716i | ||||
\(79\) | − | 0.459050i | − | 0.0516472i | −0.999667 | − | 0.0258236i | \(-0.991779\pi\) | ||
0.999667 | − | 0.0258236i | \(-0.00822082\pi\) | |||||||
\(80\) | −3.82339 | − | 1.17544i | −0.427468 | − | 0.131418i | ||||
\(81\) | 2.34912 | 0.261013 | ||||||||
\(82\) | 3.25163 | + | 9.87380i | 0.359083 | + | 1.09038i | ||||
\(83\) | −2.59747 | −0.285109 | −0.142554 | − | 0.989787i | \(-0.545532\pi\) | ||||
−0.142554 | + | 0.989787i | \(0.545532\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.583719 | 0.0633132 | ||||||||
\(86\) | 2.56610 | + | 7.79213i | 0.276709 | + | 0.840247i | ||||
\(87\) | 0.392473 | 0.0420775 | ||||||||
\(88\) | −8.63724 | − | 6.11933i | −0.920733 | − | 0.652323i | ||||
\(89\) | − | 9.88016i | − | 1.04730i | −0.851935 | − | 0.523648i | \(-0.824571\pi\) | ||
0.851935 | − | 0.523648i | \(-0.175429\pi\) | |||||||
\(90\) | −0.967745 | − | 2.93862i | −0.102009 | − | 0.309758i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −5.12447 | − | 6.93662i | −0.534263 | − | 0.723192i | ||||
\(93\) | −2.28803 | −0.237258 | ||||||||
\(94\) | 15.5502 | − | 5.12097i | 1.60388 | − | 0.528187i | ||||
\(95\) | − | 6.15955i | − | 0.631956i | ||||||
\(96\) | −0.101301 | − | 5.09739i | −0.0103390 | − | 0.520250i | ||||
\(97\) | − | 4.54044i | − | 0.461011i | −0.973071 | − | 0.230506i | \(-0.925962\pi\) | ||
0.973071 | − | 0.230506i | \(-0.0740380\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 8.18738i | − | 0.822862i | ||||||
\(100\) | −1.60864 | + | 1.18839i | −0.160864 | + | 0.118839i | ||||
\(101\) | − | 9.14442i | − | 0.909903i | −0.890516 | − | 0.454952i | \(-0.849657\pi\) | ||
0.890516 | − | 0.454952i | \(-0.150343\pi\) | |||||||
\(102\) | 0.232721 | + | 0.706674i | 0.0230428 | + | 0.0699712i | ||||
\(103\) | 10.2319 | 1.00818 | 0.504092 | − | 0.863650i | \(-0.331827\pi\) | ||||
0.504092 | + | 0.863650i | \(0.331827\pi\) | |||||||
\(104\) | 5.58490 | + | 3.95681i | 0.547645 | + | 0.387997i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.18410 | − | 1.37790i | 0.406396 | − | 0.133834i | ||||
\(107\) | − | 6.33201i | − | 0.612139i | −0.952009 | − | 0.306069i | \(-0.900986\pi\) | ||
0.952009 | − | 0.306069i | \(-0.0990139\pi\) | |||||||
\(108\) | 7.52129 | − | 5.55640i | 0.723736 | − | 0.534665i | ||||
\(109\) | −18.7605 | −1.79693 | −0.898467 | − | 0.439040i | \(-0.855318\pi\) | ||||
−0.898467 | + | 0.439040i | \(0.855318\pi\) | |||||||
\(110\) | −5.02706 | + | 1.65551i | −0.479311 | + | 0.157846i | ||||
\(111\) | 10.1851 | 0.966731 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.17847 | 0.393077 | 0.196539 | − | 0.980496i | \(-0.437030\pi\) | ||||
0.196539 | + | 0.980496i | \(0.437030\pi\) | |||||||
\(114\) | 7.45701 | − | 2.45573i | 0.698413 | − | 0.230001i | ||||
\(115\) | −4.31210 | −0.402106 | ||||||||
\(116\) | −0.700502 | + | 0.517501i | −0.0650400 | + | 0.0480488i | ||||
\(117\) | 5.29402i | 0.489432i | ||||||||
\(118\) | −4.66198 | + | 1.53528i | −0.429170 | + | 0.141334i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −2.08006 | − | 1.47369i | −0.189883 | − | 0.134529i | ||||
\(121\) | −3.00602 | −0.273275 | ||||||||
\(122\) | 4.59506 | + | 13.9532i | 0.416017 | + | 1.26326i | ||||
\(123\) | 6.62501i | 0.597357i | ||||||||
\(124\) | 4.08377 | − | 3.01692i | 0.366734 | − | 0.270927i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 4.91036i | − | 0.435724i | −0.975980 | − | 0.217862i | \(-0.930092\pi\) | ||
0.975980 | − | 0.217862i | \(-0.0699083\pi\) | |||||||
\(128\) | 6.90205 | + | 8.96447i | 0.610061 | + | 0.792355i | ||||
\(129\) | 5.22827i | 0.460324i | ||||||||
\(130\) | 3.25054 | − | 1.07046i | 0.285091 | − | 0.0938858i | ||||
\(131\) | 15.8745 | 1.38696 | 0.693479 | − | 0.720477i | \(-0.256077\pi\) | ||||
0.693479 | + | 0.720477i | \(0.256077\pi\) | |||||||
\(132\) | −4.00845 | − | 5.42594i | −0.348891 | − | 0.472267i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 4.35501 | + | 13.2243i | 0.376216 | + | 1.14240i | ||||
\(135\) | − | 4.67556i | − | 0.402408i | ||||||
\(136\) | −1.34717 | − | 0.954444i | −0.115519 | − | 0.0818429i | ||||
\(137\) | −7.84221 | −0.670005 | −0.335002 | − | 0.942217i | \(-0.608737\pi\) | ||||
−0.335002 | + | 0.942217i | \(0.608737\pi\) | |||||||
\(138\) | −1.71918 | − | 5.22041i | −0.146346 | − | 0.444391i | ||||
\(139\) | −17.4044 | −1.47623 | −0.738113 | − | 0.674677i | \(-0.764283\pi\) | ||||
−0.738113 | + | 0.674677i | \(0.764283\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.4337 | 0.878674 | ||||||||
\(142\) | −4.40929 | − | 13.3891i | −0.370020 | − | 1.12359i | ||||
\(143\) | 9.05640 | 0.757334 | ||||||||
\(144\) | −2.57151 | + | 8.36443i | −0.214292 | + | 0.697036i | ||||
\(145\) | 0.435463i | 0.0361632i | ||||||||
\(146\) | 4.33463 | + | 13.1624i | 0.358736 | + | 1.08933i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −18.1789 | + | 13.4298i | −1.49429 | + | 1.10392i | ||||
\(149\) | 1.65155 | 0.135300 | 0.0676502 | − | 0.997709i | \(-0.478450\pi\) | ||||
0.0676502 | + | 0.997709i | \(0.478450\pi\) | |||||||
\(150\) | −1.21064 | + | 0.398687i | −0.0988485 | + | 0.0325527i | ||||
\(151\) | − | 7.35613i | − | 0.598633i | −0.954154 | − | 0.299317i | \(-0.903241\pi\) | ||
0.954154 | − | 0.299317i | \(-0.0967587\pi\) | |||||||
\(152\) | −10.0715 | + | 14.2156i | −0.816909 | + | 1.15304i | ||||
\(153\) | − | 1.27700i | − | 0.103239i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 2.53865i | − | 0.203909i | ||||||
\(156\) | 2.59189 | + | 3.50845i | 0.207518 | + | 0.280901i | ||||
\(157\) | 3.08251i | 0.246011i | 0.992406 | + | 0.123005i | \(0.0392532\pi\) | ||||
−0.992406 | + | 0.123005i | \(0.960747\pi\) | |||||||
\(158\) | 0.203065 | + | 0.616619i | 0.0161549 | + | 0.0490556i | ||||
\(159\) | 2.80740 | 0.222641 | ||||||||
\(160\) | 5.65574 | − | 0.112397i | 0.447125 | − | 0.00888579i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −3.15545 | + | 1.03915i | −0.247915 | + | 0.0816433i | ||||
\(163\) | 4.51816i | 0.353889i | 0.984221 | + | 0.176945i | \(0.0566214\pi\) | ||||
−0.984221 | + | 0.176945i | \(0.943379\pi\) | |||||||
\(164\) | −8.73551 | − | 11.8246i | −0.682128 | − | 0.923346i | ||||
\(165\) | −3.37300 | −0.262588 | ||||||||
\(166\) | 3.48905 | − | 1.14901i | 0.270802 | − | 0.0891804i | ||||
\(167\) | −16.9358 | −1.31053 | −0.655266 | − | 0.755398i | \(-0.727444\pi\) | ||||
−0.655266 | + | 0.755398i | \(0.727444\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.14406 | 0.549543 | ||||||||
\(170\) | −0.784080 | + | 0.258212i | −0.0601362 | + | 0.0198040i | ||||
\(171\) | −13.4752 | −1.03048 | ||||||||
\(172\) | −6.89382 | − | 9.33165i | −0.525649 | − | 0.711531i | ||||
\(173\) | 0.132697i | 0.0100888i | 0.999987 | + | 0.00504439i | \(0.00160569\pi\) | ||||
−0.999987 | + | 0.00504439i | \(0.998394\pi\) | |||||||
\(174\) | −0.527189 | + | 0.173613i | −0.0399661 | + | 0.0131616i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 14.3089 | + | 4.39904i | 1.07857 | + | 0.331590i | ||||
\(177\) | −3.12804 | −0.235118 | ||||||||
\(178\) | 4.37057 | + | 13.2715i | 0.327588 | + | 0.994743i | ||||
\(179\) | − | 16.0991i | − | 1.20330i | −0.798760 | − | 0.601650i | \(-0.794510\pi\) | ||
0.798760 | − | 0.601650i | \(-0.205490\pi\) | |||||||
\(180\) | 2.59985 | + | 3.51922i | 0.193781 | + | 0.262307i | ||||
\(181\) | − | 3.99317i | − | 0.296810i | −0.988927 | − | 0.148405i | \(-0.952586\pi\) | ||
0.988927 | − | 0.148405i | \(-0.0474139\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.36216i | 0.692071i | ||||||||
\(184\) | 9.95191 | + | 7.05076i | 0.733665 | + | 0.519789i | ||||
\(185\) | 11.3008i | 0.830850i | ||||||||
\(186\) | 3.07340 | − | 1.01213i | 0.225352 | − | 0.0742128i | ||||
\(187\) | −2.18455 | −0.159750 | ||||||||
\(188\) | −18.6225 | + | 13.7575i | −1.35818 | + | 1.00337i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.72472 | + | 8.27381i | 0.197672 | + | 0.600245i | ||||
\(191\) | 20.0500i | 1.45077i | 0.688344 | + | 0.725385i | \(0.258338\pi\) | ||||
−0.688344 | + | 0.725385i | \(0.741662\pi\) | |||||||
\(192\) | 2.39094 | + | 6.80226i | 0.172552 | + | 0.490911i | ||||
\(193\) | 19.3392 | 1.39206 | 0.696032 | − | 0.718011i | \(-0.254947\pi\) | ||||
0.696032 | + | 0.718011i | \(0.254947\pi\) | |||||||
\(194\) | 2.00850 | + | 6.09894i | 0.144202 | + | 0.437878i | ||||
\(195\) | 2.18101 | 0.156185 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.63738 | −0.116659 | −0.0583293 | − | 0.998297i | \(-0.518577\pi\) | ||||
−0.0583293 | + | 0.998297i | \(0.518577\pi\) | |||||||
\(198\) | 3.62175 | + | 10.9977i | 0.257386 | + | 0.781572i | ||||
\(199\) | −0.783264 | −0.0555241 | −0.0277621 | − | 0.999615i | \(-0.508838\pi\) | ||||
−0.0277621 | + | 0.999615i | \(0.508838\pi\) | |||||||
\(200\) | 1.63511 | − | 2.30790i | 0.115620 | − | 0.163193i | ||||
\(201\) | 8.87308i | 0.625859i | ||||||||
\(202\) | 4.04510 | + | 12.2832i | 0.284612 | + | 0.864245i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.625205 | − | 0.846294i | −0.0437731 | − | 0.0592524i | ||||
\(205\) | −7.35068 | −0.513394 | ||||||||
\(206\) | −13.7441 | + | 4.52618i | −0.957594 | + | 0.315354i | ||||
\(207\) | 9.43358i | 0.655679i | ||||||||
\(208\) | −9.25225 | − | 2.84445i | −0.641528 | − | 0.197227i | ||||
\(209\) | 23.0519i | 1.59453i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.22534i | 0.635099i | 0.948242 | + | 0.317549i | \(0.102860\pi\) | ||||
−0.948242 | + | 0.317549i | \(0.897140\pi\) | |||||||
\(212\) | −5.01077 | + | 3.70174i | −0.344141 | + | 0.254237i | ||||
\(213\) | − | 8.98368i | − | 0.615551i | ||||||
\(214\) | 2.80101 | + | 8.50547i | 0.191473 | + | 0.581422i | ||||
\(215\) | −5.80096 | −0.395622 | ||||||||
\(216\) | −7.64505 | + | 10.7907i | −0.520180 | + | 0.734217i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 25.2001 | − | 8.29887i | 1.70677 | − | 0.562071i | ||||
\(219\) | 8.83155i | 0.596781i | ||||||||
\(220\) | 6.02027 | − | 4.44752i | 0.405887 | − | 0.299852i | ||||
\(221\) | 1.41254 | 0.0950179 | ||||||||
\(222\) | −13.6812 | + | 4.50548i | −0.918221 | + | 0.302388i | ||||
\(223\) | 24.2380 | 1.62310 | 0.811550 | − | 0.584284i | \(-0.198624\pi\) | ||||
0.811550 | + | 0.584284i | \(0.198624\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.18770 | 0.145847 | ||||||||
\(226\) | −5.61273 | + | 1.84838i | −0.373353 | + | 0.122952i | ||||
\(227\) | −10.6325 | −0.705701 | −0.352851 | − | 0.935680i | \(-0.614788\pi\) | ||||
−0.352851 | + | 0.935680i | \(0.614788\pi\) | |||||||
\(228\) | −8.93031 | + | 6.59733i | −0.591424 | + | 0.436919i | ||||
\(229\) | − | 29.5128i | − | 1.95026i | −0.221626 | − | 0.975132i | \(-0.571136\pi\) | ||
0.221626 | − | 0.975132i | \(-0.428864\pi\) | |||||||
\(230\) | 5.79223 | − | 1.90749i | 0.381928 | − | 0.125776i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.712029 | − | 1.00501i | 0.0467470 | − | 0.0659819i | ||||
\(233\) | 28.0703 | 1.83894 | 0.919472 | − | 0.393155i | \(-0.128616\pi\) | ||||
0.919472 | + | 0.393155i | \(0.128616\pi\) | |||||||
\(234\) | −2.34185 | − | 7.11119i | −0.153092 | − | 0.464873i | ||||
\(235\) | 11.5765i | 0.755169i | ||||||||
\(236\) | 5.58307 | − | 4.12453i | 0.363427 | − | 0.268484i | ||||
\(237\) | 0.413732i | 0.0268748i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 13.6279i | 0.881512i | 0.897627 | + | 0.440756i | \(0.145290\pi\) | ||||
−0.897627 | + | 0.440756i | \(0.854710\pi\) | |||||||
\(240\) | 3.44594 | + | 1.05940i | 0.222435 | + | 0.0683839i | ||||
\(241\) | 4.20741i | 0.271023i | 0.990776 | + | 0.135512i | \(0.0432678\pi\) | ||||
−0.990776 | + | 0.135512i | \(0.956732\pi\) | |||||||
\(242\) | 4.03784 | − | 1.32974i | 0.259562 | − | 0.0854787i | ||||
\(243\) | −16.1439 | −1.03563 | ||||||||
\(244\) | −12.3446 | − | 16.7100i | −0.790283 | − | 1.06975i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.93062 | − | 8.89904i | −0.186850 | − | 0.567382i | ||||
\(247\) | − | 14.9055i | − | 0.948415i | ||||||
\(248\) | −4.15097 | + | 5.85896i | −0.263587 | + | 0.372044i | ||||
\(249\) | 2.34104 | 0.148357 | ||||||||
\(250\) | −0.442358 | − | 1.34325i | −0.0279772 | − | 0.0849546i | ||||
\(251\) | −18.8826 | −1.19186 | −0.595928 | − | 0.803038i | \(-0.703216\pi\) | ||||
−0.595928 | + | 0.803038i | \(0.703216\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 16.1379 | 1.01458 | ||||||||
\(254\) | 2.17214 | + | 6.59584i | 0.136292 | + | 0.413860i | ||||
\(255\) | −0.526093 | −0.0329452 | ||||||||
\(256\) | −13.2367 | − | 8.98835i | −0.827292 | − | 0.561772i | ||||
\(257\) | 25.8345i | 1.61151i | 0.592247 | + | 0.805757i | \(0.298241\pi\) | ||||
−0.592247 | + | 0.805757i | \(0.701759\pi\) | |||||||
\(258\) | −2.31277 | − | 7.02288i | −0.143987 | − | 0.437225i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −3.89275 | + | 2.87580i | −0.241418 | + | 0.178349i | ||||
\(261\) | 0.952661 | 0.0589682 | ||||||||
\(262\) | −21.3234 | + | 7.02219i | −1.31736 | + | 0.433832i | ||||
\(263\) | 10.6971i | 0.659614i | 0.944048 | + | 0.329807i | \(0.106984\pi\) | ||||
−0.944048 | + | 0.329807i | \(0.893016\pi\) | |||||||
\(264\) | 7.78456 | + | 5.51522i | 0.479106 | + | 0.339438i | ||||
\(265\) | 3.11491i | 0.191347i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.90478i | 0.544963i | ||||||||
\(268\) | −11.6997 | − | 15.8370i | −0.714675 | − | 0.967402i | ||||
\(269\) | 8.36512i | 0.510030i | 0.966937 | + | 0.255015i | \(0.0820805\pi\) | ||||
−0.966937 | + | 0.255015i | \(0.917920\pi\) | |||||||
\(270\) | 2.06827 | + | 6.28044i | 0.125871 | + | 0.382216i | ||||
\(271\) | −27.1113 | −1.64690 | −0.823448 | − | 0.567392i | \(-0.807952\pi\) | ||||
−0.823448 | + | 0.567392i | \(0.807952\pi\) | |||||||
\(272\) | 2.23179 | + | 0.686127i | 0.135322 | + | 0.0416025i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 10.5340 | − | 3.46906i | 0.636385 | − | 0.209574i | ||||
\(275\) | − | 3.74246i | − | 0.225679i | ||||||
\(276\) | 4.61858 | + | 6.25182i | 0.278006 | + | 0.376315i | ||||
\(277\) | 3.35983 | 0.201872 | 0.100936 | − | 0.994893i | \(-0.467816\pi\) | ||||
0.100936 | + | 0.994893i | \(0.467816\pi\) | |||||||
\(278\) | 23.3785 | − | 7.69899i | 1.40215 | − | 0.461755i | ||||
\(279\) | −5.55380 | −0.332497 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.33947 | −0.437836 | −0.218918 | − | 0.975743i | \(-0.570253\pi\) | ||||
−0.218918 | + | 0.975743i | \(0.570253\pi\) | |||||||
\(282\) | −14.0150 | + | 4.61542i | −0.834583 | + | 0.274844i | ||||
\(283\) | 7.20564 | 0.428331 | 0.214165 | − | 0.976797i | \(-0.431297\pi\) | ||||
0.214165 | + | 0.976797i | \(0.431297\pi\) | |||||||
\(284\) | 11.8456 | + | 16.0344i | 0.702905 | + | 0.951469i | ||||
\(285\) | 5.55147i | 0.328841i | ||||||||
\(286\) | −12.1650 | + | 4.00617i | −0.719332 | + | 0.236890i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −0.245892 | − | 12.3730i | −0.0144893 | − | 0.729089i | ||||
\(289\) | 16.6593 | 0.979957 | ||||||||
\(290\) | −0.192630 | − | 0.584935i | −0.0113116 | − | 0.0343486i | ||||
\(291\) | 4.09220i | 0.239889i | ||||||||
\(292\) | −11.6450 | − | 15.7629i | −0.681471 | − | 0.922456i | ||||
\(293\) | − | 8.47879i | − | 0.495336i | −0.968845 | − | 0.247668i | \(-0.920336\pi\) | ||
0.968845 | − | 0.247668i | \(-0.0796642\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 3.47068i | − | 0.202071i | ||||||
\(296\) | 18.4780 | − | 26.0811i | 1.07401 | − | 1.51593i | ||||
\(297\) | 17.4981i | 1.01534i | ||||||||
\(298\) | −2.21845 | + | 0.730577i | −0.128511 | + | 0.0423212i | ||||
\(299\) | −10.4349 | −0.603464 | ||||||||
\(300\) | 1.44983 | − | 1.07107i | 0.0837060 | − | 0.0618384i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 3.25404 | + | 9.88112i | 0.187249 | + | 0.568595i | ||||
\(303\) | 8.24166i | 0.473471i | ||||||||
\(304\) | 7.24018 | − | 23.5504i | 0.415253 | − | 1.35071i | ||||
\(305\) | −10.3877 | −0.594795 | ||||||||
\(306\) | 0.564891 | + | 1.71533i | 0.0322927 | + | 0.0980589i | ||||
\(307\) | 10.4271 | 0.595104 | 0.297552 | − | 0.954706i | \(-0.403830\pi\) | ||||
0.297552 | + | 0.954706i | \(0.403830\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.22183 | −0.524612 | ||||||||
\(310\) | 1.12299 | + | 3.41004i | 0.0637817 | + | 0.193677i | ||||
\(311\) | 7.92592 | 0.449437 | 0.224719 | − | 0.974424i | \(-0.427854\pi\) | ||||
0.224719 | + | 0.974424i | \(0.427854\pi\) | |||||||
\(312\) | −5.03355 | − | 3.56618i | −0.284969 | − | 0.201895i | ||||
\(313\) | 14.4667i | 0.817703i | 0.912601 | + | 0.408852i | \(0.134071\pi\) | ||||
−0.912601 | + | 0.408852i | \(0.865929\pi\) | |||||||
\(314\) | −1.36357 | − | 4.14058i | −0.0769507 | − | 0.233666i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.545533 | − | 0.738447i | −0.0306886 | − | 0.0415409i | ||||
\(317\) | 3.53706 | 0.198661 | 0.0993305 | − | 0.995054i | \(-0.468330\pi\) | ||||
0.0993305 | + | 0.995054i | \(0.468330\pi\) | |||||||
\(318\) | −3.77104 | + | 1.24188i | −0.211469 | + | 0.0696409i | ||||
\(319\) | − | 1.62970i | − | 0.0912458i | ||||||
\(320\) | −7.54735 | + | 2.65284i | −0.421910 | + | 0.148298i | ||||
\(321\) | 5.70690i | 0.318528i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.59544i | 0.200056i | ||||||||
\(324\) | 3.77888 | − | 2.79167i | 0.209938 | − | 0.155093i | ||||
\(325\) | 2.41990i | 0.134232i | ||||||||
\(326\) | −1.99864 | − | 6.06901i | −0.110695 | − | 0.336131i | ||||
\(327\) | 16.9085 | 0.935041 | ||||||||
\(328\) | 16.9647 | + | 12.0192i | 0.936717 | + | 0.663648i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 4.53078 | − | 1.49207i | 0.249411 | − | 0.0821359i | ||||
\(331\) | − | 23.5297i | − | 1.29331i | −0.762782 | − | 0.646655i | \(-0.776167\pi\) | ||
0.762782 | − | 0.646655i | \(-0.223833\pi\) | |||||||
\(332\) | −4.17839 | + | 3.08681i | −0.229319 | + | 0.169411i | ||||
\(333\) | 24.7227 | 1.35479 | ||||||||
\(334\) | 22.7490 | − | 7.49169i | 1.24477 | − | 0.409927i | ||||
\(335\) | −9.84499 | −0.537890 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.10057 | 0.277846 | 0.138923 | − | 0.990303i | \(-0.455636\pi\) | ||||
0.138923 | + | 0.990303i | \(0.455636\pi\) | |||||||
\(338\) | −9.59626 | + | 3.16023i | −0.521968 | + | 0.171894i | ||||
\(339\) | −3.76596 | −0.204539 | ||||||||
\(340\) | 0.938993 | − | 0.693688i | 0.0509240 | − | 0.0376205i | ||||
\(341\) | 9.50081i | 0.514497i | ||||||||
\(342\) | 18.1006 | − | 5.96087i | 0.978768 | − | 0.322327i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 13.3880 | + | 9.48520i | 0.721835 | + | 0.511407i | ||||
\(345\) | 3.88640 | 0.209237 | ||||||||
\(346\) | −0.0586997 | − | 0.178246i | −0.00315571 | − | 0.00958254i | ||||
\(347\) | 1.66642i | 0.0894580i | 0.998999 | + | 0.0447290i | \(0.0142424\pi\) | ||||
−0.998999 | + | 0.0447290i | \(0.985758\pi\) | |||||||
\(348\) | 0.631347 | − | 0.466412i | 0.0338438 | − | 0.0250023i | ||||
\(349\) | 27.6081i | 1.47783i | 0.673801 | + | 0.738913i | \(0.264661\pi\) | ||||
−0.673801 | + | 0.738913i | \(0.735339\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 11.3144i | − | 0.603918i | ||||||
\(352\) | −21.1664 | + | 0.420643i | −1.12817 | + | 0.0224203i | ||||
\(353\) | − | 27.1577i | − | 1.44546i | −0.691131 | − | 0.722730i | \(-0.742887\pi\) | ||
0.691131 | − | 0.722730i | \(-0.257113\pi\) | |||||||
\(354\) | 4.20174 | − | 1.38371i | 0.223320 | − | 0.0735436i | ||||
\(355\) | 9.96771 | 0.529031 | ||||||||
\(356\) | −11.7415 | − | 15.8936i | −0.622300 | − | 0.842360i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.12154 | + | 21.6251i | 0.376385 | + | 1.14292i | ||||
\(359\) | 16.7549i | 0.884292i | 0.896943 | + | 0.442146i | \(0.145783\pi\) | ||||
−0.896943 | + | 0.442146i | \(0.854217\pi\) | |||||||
\(360\) | −5.04900 | − | 3.57712i | −0.266105 | − | 0.188531i | ||||
\(361\) | 18.9400 | 0.996845 | ||||||||
\(362\) | 1.76641 | + | 5.36382i | 0.0928404 | + | 0.281916i | ||||
\(363\) | 2.70926 | 0.142199 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.79892 | −0.512899 | ||||||||
\(366\) | −4.14142 | − | 12.5757i | −0.216476 | − | 0.657344i | ||||
\(367\) | −8.44425 | −0.440787 | −0.220393 | − | 0.975411i | \(-0.570734\pi\) | ||||
−0.220393 | + | 0.975411i | \(0.570734\pi\) | |||||||
\(368\) | −16.4869 | − | 5.06862i | −0.859437 | − | 0.264220i | ||||
\(369\) | 16.0811i | 0.837147i | ||||||||
\(370\) | −4.99899 | − | 15.1798i | −0.259885 | − | 0.789158i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −3.68062 | + | 2.71908i | −0.190831 | + | 0.140978i | ||||
\(373\) | −10.3772 | −0.537312 | −0.268656 | − | 0.963236i | \(-0.586580\pi\) | ||||
−0.268656 | + | 0.963236i | \(0.586580\pi\) | |||||||
\(374\) | 2.93439 | − | 0.966350i | 0.151734 | − | 0.0499688i | ||||
\(375\) | − | 0.901278i | − | 0.0465418i | ||||||
\(376\) | 18.9289 | − | 26.7175i | 0.976183 | − | 1.37785i | ||||
\(377\) | 1.05378i | 0.0542723i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.7976i | 0.606002i | 0.952990 | + | 0.303001i | \(0.0979886\pi\) | ||||
−0.952990 | + | 0.303001i | \(0.902011\pi\) | |||||||
\(380\) | −7.31997 | − | 9.90849i | −0.375507 | − | 0.508295i | ||||
\(381\) | 4.42560i | 0.226730i | ||||||||
\(382\) | −8.86929 | − | 26.9322i | −0.453792 | − | 1.37797i | ||||
\(383\) | 0.957045 | 0.0489027 | 0.0244514 | − | 0.999701i | \(-0.492216\pi\) | ||||
0.0244514 | + | 0.999701i | \(0.492216\pi\) | |||||||
\(384\) | −6.22067 | − | 8.07948i | −0.317447 | − | 0.412304i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −25.9773 | + | 8.55483i | −1.32221 | + | 0.435430i | ||||
\(387\) | 12.6907i | 0.645107i | ||||||||
\(388\) | −5.39583 | − | 7.30392i | −0.273932 | − | 0.370801i | ||||
\(389\) | −30.1641 | −1.52938 | −0.764689 | − | 0.644399i | \(-0.777107\pi\) | ||||
−0.764689 | + | 0.644399i | \(0.777107\pi\) | |||||||
\(390\) | −2.92964 | + | 0.964785i | −0.148348 | + | 0.0488538i | ||||
\(391\) | 2.51705 | 0.127293 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −14.3073 | −0.721708 | ||||||||
\(394\) | 2.19941 | − | 0.724308i | 0.110805 | − | 0.0364901i | ||||
\(395\) | −0.459050 | −0.0230973 | ||||||||
\(396\) | −9.72983 | − | 13.1705i | −0.488942 | − | 0.661844i | ||||
\(397\) | − | 6.20697i | − | 0.311519i | −0.987795 | − | 0.155760i | \(-0.950217\pi\) | ||
0.987795 | − | 0.155760i | \(-0.0497825\pi\) | |||||||
\(398\) | 1.05212 | − | 0.346483i | 0.0527380 | − | 0.0173676i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.17544 | + | 3.82339i | −0.0587720 | + | 0.191170i | ||||
\(401\) | 26.3130 | 1.31401 | 0.657004 | − | 0.753887i | \(-0.271824\pi\) | ||||
0.657004 | + | 0.753887i | \(0.271824\pi\) | |||||||
\(402\) | −3.92507 | − | 11.9188i | −0.195765 | − | 0.594454i | ||||
\(403\) | − | 6.14329i | − | 0.306019i | ||||||
\(404\) | −10.8672 | − | 14.7101i | −0.540662 | − | 0.731853i | ||||
\(405\) | − | 2.34912i | − | 0.116728i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 42.2927i | − | 2.09637i | ||||||
\(408\) | 1.21417 | + | 0.860219i | 0.0601105 | + | 0.0425872i | ||||
\(409\) | 18.4030i | 0.909968i | 0.890500 | + | 0.454984i | \(0.150355\pi\) | ||||
−0.890500 | + | 0.454984i | \(0.849645\pi\) | |||||||
\(410\) | 9.87380 | − | 3.25163i | 0.487632 | − | 0.160587i | ||||
\(411\) | 7.06801 | 0.348639 | ||||||||
\(412\) | 16.4595 | − | 12.1596i | 0.810902 | − | 0.599060i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −4.17302 | − | 12.6716i | −0.205093 | − | 0.622777i | ||||
\(415\) | 2.59747i | 0.127505i | ||||||||
\(416\) | 13.6863 | − | 0.271991i | 0.671028 | − | 0.0133355i | ||||
\(417\) | 15.6862 | 0.768158 | ||||||||
\(418\) | −10.1972 | − | 30.9644i | −0.498760 | − | 1.51452i | ||||
\(419\) | 35.2426 | 1.72171 | 0.860856 | − | 0.508848i | \(-0.169928\pi\) | ||||
0.860856 | + | 0.508848i | \(0.169928\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.6669 | −0.763558 | −0.381779 | − | 0.924254i | \(-0.624688\pi\) | ||||
−0.381779 | + | 0.924254i | \(0.624688\pi\) | |||||||
\(422\) | −4.08090 | − | 12.3919i | −0.198655 | − | 0.603230i | ||||
\(423\) | 25.3259 | 1.23139 | ||||||||
\(424\) | 5.09322 | − | 7.18891i | 0.247349 | − | 0.349124i | ||||
\(425\) | − | 0.583719i | − | 0.0283145i | ||||||
\(426\) | 3.97400 | + | 12.0673i | 0.192541 | + | 0.584664i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −7.52492 | − | 10.1859i | −0.363731 | − | 0.492355i | ||||
\(429\) | −8.16233 | −0.394081 | ||||||||
\(430\) | 7.79213 | − | 2.56610i | 0.375770 | − | 0.123748i | ||||
\(431\) | 2.00541i | 0.0965970i | 0.998833 | + | 0.0482985i | \(0.0153799\pi\) | ||||
−0.998833 | + | 0.0482985i | \(0.984620\pi\) | |||||||
\(432\) | 5.49584 | − | 17.8765i | 0.264419 | − | 0.860083i | ||||
\(433\) | − | 13.5978i | − | 0.653469i | −0.945116 | − | 0.326734i | \(-0.894052\pi\) | ||
0.945116 | − | 0.326734i | \(-0.105948\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | − | 0.392473i | − | 0.0188176i | ||||||
\(436\) | −30.1790 | + | 22.2949i | −1.44531 | + | 1.06773i | ||||
\(437\) | − | 26.5606i | − | 1.27057i | ||||||
\(438\) | −3.90671 | − | 11.8630i | −0.186670 | − | 0.566835i | ||||
\(439\) | 29.0493 | 1.38645 | 0.693224 | − | 0.720722i | \(-0.256190\pi\) | ||||
0.693224 | + | 0.720722i | \(0.256190\pi\) | |||||||
\(440\) | −6.11933 | + | 8.63724i | −0.291728 | + | 0.411764i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.89740 | + | 0.624849i | −0.0902500 | + | 0.0297211i | ||||
\(443\) | 14.6366i | 0.695406i | 0.937605 | + | 0.347703i | \(0.113038\pi\) | ||||
−0.937605 | + | 0.347703i | \(0.886962\pi\) | |||||||
\(444\) | 16.3842 | − | 12.1040i | 0.777561 | − | 0.574428i | ||||
\(445\) | −9.88016 | −0.468365 | ||||||||
\(446\) | −32.5577 | + | 10.7219i | −1.54165 | + | 0.507696i | ||||
\(447\) | −1.48851 | −0.0704040 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −27.0699 | −1.27751 | −0.638754 | − | 0.769411i | \(-0.720550\pi\) | ||||
−0.638754 | + | 0.769411i | \(0.720550\pi\) | |||||||
\(450\) | −2.93862 | + | 0.967745i | −0.138528 | + | 0.0456199i | ||||
\(451\) | 27.5097 | 1.29538 | ||||||||
\(452\) | 6.72165 | − | 4.96567i | 0.316160 | − | 0.233565i | ||||
\(453\) | 6.62992i | 0.311501i | ||||||||
\(454\) | 14.2820 | − | 4.70335i | 0.670290 | − | 0.220739i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 9.07725 | − | 12.8122i | 0.425081 | − | 0.599989i | ||||
\(457\) | −7.60612 | −0.355799 | −0.177900 | − | 0.984049i | \(-0.556930\pi\) | ||||
−0.177900 | + | 0.984049i | \(0.556930\pi\) | |||||||
\(458\) | 13.0552 | + | 39.6431i | 0.610031 | + | 1.85240i | ||||
\(459\) | 2.72921i | 0.127389i | ||||||||
\(460\) | −6.93662 | + | 5.12447i | −0.323421 | + | 0.238930i | ||||
\(461\) | − | 12.7953i | − | 0.595936i | −0.954576 | − | 0.297968i | \(-0.903691\pi\) | ||
0.954576 | − | 0.297968i | \(-0.0963089\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 27.9178i | − | 1.29745i | −0.761024 | − | 0.648724i | \(-0.775303\pi\) | ||
0.761024 | − | 0.648724i | \(-0.224697\pi\) | |||||||
\(464\) | −0.511861 | + | 1.66495i | −0.0237625 | + | 0.0772931i | ||||
\(465\) | 2.28803i | 0.106105i | ||||||||
\(466\) | −37.7054 | + | 12.4171i | −1.74667 | + | 0.575211i | ||||
\(467\) | −22.6108 | −1.04630 | −0.523152 | − | 0.852239i | \(-0.675244\pi\) | ||||
−0.523152 | + | 0.852239i | \(0.675244\pi\) | |||||||
\(468\) | 6.29138 | + | 8.51617i | 0.290819 | + | 0.393660i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −5.12097 | − | 15.5502i | −0.236213 | − | 0.717276i | ||||
\(471\) | − | 2.77820i | − | 0.128012i | ||||||
\(472\) | −5.67493 | + | 8.00999i | −0.261210 | + | 0.368689i | ||||
\(473\) | 21.7099 | 0.998220 | ||||||||
\(474\) | −0.183018 | − | 0.555745i | −0.00840628 | − | 0.0255262i | ||||
\(475\) | −6.15955 | −0.282620 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.81448 | 0.312014 | ||||||||
\(478\) | −6.02838 | − | 18.3056i | −0.275732 | − | 0.837279i | ||||
\(479\) | −21.9815 | −1.00436 | −0.502180 | − | 0.864763i | \(-0.667468\pi\) | ||||
−0.502180 | + | 0.864763i | \(0.667468\pi\) | |||||||
\(480\) | −5.09739 | + | 0.101301i | −0.232663 | + | 0.00462375i | ||||
\(481\) | 27.3468i | 1.24691i | ||||||||
\(482\) | −1.86118 | − | 5.65160i | −0.0847744 | − | 0.257423i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.83560 | + | 3.57234i | −0.219800 | + | 0.162379i | ||||
\(485\) | −4.54044 | −0.206171 | ||||||||
\(486\) | 21.6853 | − | 7.14137i | 0.983663 | − | 0.323939i | ||||
\(487\) | 25.3829i | 1.15021i | 0.818081 | + | 0.575103i | \(0.195038\pi\) | ||||
−0.818081 | + | 0.575103i | \(0.804962\pi\) | |||||||
\(488\) | 23.9737 | + | 16.9849i | 1.08524 | + | 0.768872i | ||||
\(489\) | − | 4.07212i | − | 0.184147i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 36.4635i | − | 1.64557i | −0.568350 | − | 0.822787i | \(-0.692418\pi\) | ||
0.568350 | − | 0.822787i | \(-0.307582\pi\) | |||||||
\(492\) | 7.87312 | + | 10.6573i | 0.354948 | + | 0.480466i | ||||
\(493\) | − | 0.254188i | − | 0.0114480i | ||||||
\(494\) | 6.59357 | + | 20.0218i | 0.296659 | + | 0.900825i | ||||
\(495\) | −8.18738 | −0.367995 | ||||||||
\(496\) | 2.98403 | − | 9.70626i | 0.133987 | − | 0.435824i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.14460 | + | 1.03558i | −0.140913 | + | 0.0464053i | ||||
\(499\) | − | 11.8789i | − | 0.531772i | −0.964004 | − | 0.265886i | \(-0.914335\pi\) | ||
0.964004 | − | 0.265886i | \(-0.0856646\pi\) | |||||||
\(500\) | 1.18839 | + | 1.60864i | 0.0531466 | + | 0.0719405i | ||||
\(501\) | 15.2639 | 0.681940 | ||||||||
\(502\) | 25.3640 | − | 8.35284i | 1.13205 | − | 0.372806i | ||||
\(503\) | −17.3055 | −0.771614 | −0.385807 | − | 0.922580i | \(-0.626077\pi\) | ||||
−0.385807 | + | 0.922580i | \(0.626077\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.14442 | −0.406921 | ||||||||
\(506\) | −21.6772 | + | 7.13871i | −0.963669 | + | 0.317355i | ||||
\(507\) | −6.43879 | −0.285957 | ||||||||
\(508\) | −5.83544 | − | 7.89900i | −0.258906 | − | 0.350462i | ||||
\(509\) | − | 13.7083i | − | 0.607609i | −0.952734 | − | 0.303805i | \(-0.901743\pi\) | ||
0.952734 | − | 0.303805i | \(-0.0982570\pi\) | |||||||
\(510\) | 0.706674 | − | 0.232721i | 0.0312921 | − | 0.0103051i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 21.7562 | + | 6.21824i | 0.961498 | + | 0.274810i | ||||
\(513\) | 28.7993 | 1.27152 | ||||||||
\(514\) | −11.4281 | − | 34.7022i | −0.504072 | − | 1.53065i | ||||
\(515\) | − | 10.2319i | − | 0.450873i | ||||||
\(516\) | 6.21325 | + | 8.41041i | 0.273523 | + | 0.370248i | ||||
\(517\) | − | 43.3247i | − | 1.90542i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 0.119597i | − | 0.00524973i | ||||||
\(520\) | 3.95681 | − | 5.58490i | 0.173517 | − | 0.244914i | ||||
\(521\) | − | 36.3519i | − | 1.59261i | −0.604897 | − | 0.796304i | \(-0.706786\pi\) | ||
0.604897 | − | 0.796304i | \(-0.293214\pi\) | |||||||
\(522\) | −1.27966 | + | 0.421417i | −0.0560093 | + | 0.0184449i | ||||
\(523\) | −4.26422 | −0.186461 | −0.0932306 | − | 0.995645i | \(-0.529719\pi\) | ||||
−0.0932306 | + | 0.995645i | \(0.529719\pi\) | |||||||
\(524\) | 25.5363 | − | 18.8651i | 1.11556 | − | 0.824126i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.73196 | − | 14.3689i | −0.206323 | − | 0.626515i | ||||
\(527\) | 1.48186i | 0.0645508i | ||||||||
\(528\) | −12.8963 | − | 3.96476i | −0.561239 | − | 0.172544i | ||||
\(529\) | 4.40578 | 0.191556 | ||||||||
\(530\) | −1.37790 | − | 4.18410i | −0.0598523 | − | 0.181746i | ||||
\(531\) | −7.59279 | −0.329499 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −17.7879 | −0.770482 | ||||||||
\(534\) | −3.93910 | − | 11.9613i | −0.170461 | − | 0.517618i | ||||
\(535\) | −6.33201 | −0.273757 | ||||||||
\(536\) | 22.7213 | + | 16.0976i | 0.981411 | + | 0.695312i | ||||
\(537\) | 14.5097i | 0.626141i | ||||||||
\(538\) | −3.70038 | − | 11.2364i | −0.159535 | − | 0.484438i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −5.55640 | − | 7.52129i | −0.239110 | − | 0.323665i | ||||
\(541\) | −6.68266 | −0.287310 | −0.143655 | − | 0.989628i | \(-0.545886\pi\) | ||||
−0.143655 | + | 0.989628i | \(0.545886\pi\) | |||||||
\(542\) | 36.4173 | − | 11.9929i | 1.56426 | − | 0.515139i | ||||
\(543\) | 3.59895i | 0.154446i | ||||||||
\(544\) | −3.30136 | + | 0.0656085i | −0.141545 | + | 0.00281294i | ||||
\(545\) | 18.7605i | 0.803614i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 45.6888i | 1.95351i | 0.214353 | + | 0.976756i | \(0.431236\pi\) | ||||
−0.214353 | + | 0.976756i | \(0.568764\pi\) | |||||||
\(548\) | −12.6153 | + | 9.31963i | −0.538898 | + | 0.398115i | ||||
\(549\) | 22.7250i | 0.969881i | ||||||||
\(550\) | 1.65551 | + | 5.02706i | 0.0705910 | + | 0.214355i | ||||
\(551\) | −2.68225 | −0.114268 | ||||||||
\(552\) | −8.96944 | − | 6.35469i | −0.381765 | − | 0.270474i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −4.51309 | + | 1.48625i | −0.191743 | + | 0.0631445i | ||||
\(555\) | − | 10.1851i | − | 0.432335i | ||||||
\(556\) | −27.9975 | + | 20.6833i | −1.18736 | + | 0.877168i | ||||
\(557\) | 4.88406 | 0.206944 | 0.103472 | − | 0.994632i | \(-0.467005\pi\) | ||||
0.103472 | + | 0.994632i | \(0.467005\pi\) | |||||||
\(558\) | 7.46014 | − | 2.45677i | 0.315813 | − | 0.104003i | ||||
\(559\) | −14.0378 | −0.593734 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.96888 | 0.0831263 | ||||||||
\(562\) | 9.85875 | − | 3.24667i | 0.415866 | − | 0.136953i | ||||
\(563\) | −2.73584 | −0.115302 | −0.0576509 | − | 0.998337i | \(-0.518361\pi\) | ||||
−0.0576509 | + | 0.998337i | \(0.518361\pi\) | |||||||
\(564\) | 16.7840 | − | 12.3993i | 0.706734 | − | 0.522105i | ||||
\(565\) | − | 4.17847i | − | 0.175789i | ||||||
\(566\) | −9.67897 | + | 3.18747i | −0.406838 | + | 0.133979i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −23.0045 | − | 16.2983i | −0.965248 | − | 0.683861i | ||||
\(569\) | 4.59348 | 0.192569 | 0.0962843 | − | 0.995354i | \(-0.469304\pi\) | ||||
0.0962843 | + | 0.995354i | \(0.469304\pi\) | |||||||
\(570\) | −2.45573 | − | 7.45701i | −0.102859 | − | 0.312340i | ||||
\(571\) | 5.61846i | 0.235125i | 0.993065 | + | 0.117563i | \(0.0375081\pi\) | ||||
−0.993065 | + | 0.117563i | \(0.962492\pi\) | |||||||
\(572\) | 14.5685 | − | 10.7626i | 0.609139 | − | 0.450006i | ||||
\(573\) | − | 18.0707i | − | 0.754912i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.31210i | 0.179827i | ||||||||
\(576\) | 5.80361 | + | 16.5113i | 0.241817 | + | 0.687972i | ||||
\(577\) | 34.3461i | 1.42985i | 0.699203 | + | 0.714924i | \(0.253539\pi\) | ||||
−0.699203 | + | 0.714924i | \(0.746461\pi\) | |||||||
\(578\) | −22.3776 | + | 7.36936i | −0.930784 | + | 0.306525i | ||||
\(579\) | −17.4300 | −0.724365 | ||||||||
\(580\) | 0.517501 | + | 0.700502i | 0.0214881 | + | 0.0290868i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.81021 | − | 5.49684i | −0.0750358 | − | 0.227851i | ||||
\(583\) | − | 11.6574i | − | 0.482801i | ||||||
\(584\) | 22.6150 | + | 16.0223i | 0.935814 | + | 0.663008i | ||||
\(585\) | 5.29402 | 0.218881 | ||||||||
\(586\) | 3.75066 | + | 11.3891i | 0.154938 | + | 0.470481i | ||||
\(587\) | 40.1422 | 1.65685 | 0.828423 | − | 0.560103i | \(-0.189238\pi\) | ||||
0.828423 | + | 0.560103i | \(0.189238\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.6369 | 0.644309 | ||||||||
\(590\) | 1.53528 | + | 4.66198i | 0.0632065 | + | 0.191931i | ||||
\(591\) | 1.47574 | 0.0607036 | ||||||||
\(592\) | −13.2834 | + | 43.2073i | −0.545944 | + | 1.77581i | ||||
\(593\) | 10.9337i | 0.448992i | 0.974475 | + | 0.224496i | \(0.0720736\pi\) | ||||
−0.974475 | + | 0.224496i | \(0.927926\pi\) | |||||||
\(594\) | −7.74042 | − | 23.5043i | −0.317593 | − | 0.964394i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.65675 | − | 1.96269i | 0.108825 | − | 0.0803951i | ||||
\(597\) | 0.705939 | 0.0288921 | ||||||||
\(598\) | 14.0166 | − | 4.61595i | 0.573183 | − | 0.188760i | ||||
\(599\) | 5.21309i | 0.213001i | 0.994313 | + | 0.106500i | \(0.0339646\pi\) | ||||
−0.994313 | + | 0.106500i | \(0.966035\pi\) | |||||||
\(600\) | −1.47369 | + | 2.08006i | −0.0601631 | + | 0.0849182i | ||||
\(601\) | 16.1103i | 0.657154i | 0.944477 | + | 0.328577i | \(0.106569\pi\) | ||||
−0.944477 | + | 0.328577i | \(0.893431\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 21.5379i | 0.877090i | ||||||||
\(604\) | −8.74198 | − | 11.8334i | −0.355706 | − | 0.481493i | ||||
\(605\) | 3.00602i | 0.122212i | ||||||||
\(606\) | −3.64576 | − | 11.0706i | −0.148099 | − | 0.449713i | ||||
\(607\) | 9.65621 | 0.391933 | 0.195967 | − | 0.980611i | \(-0.437216\pi\) | ||||
0.195967 | + | 0.980611i | \(0.437216\pi\) | |||||||
\(608\) | 0.692317 | + | 34.8368i | 0.0280772 | + | 1.41282i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 13.9532 | − | 4.59506i | 0.564949 | − | 0.186048i | ||||
\(611\) | 28.0141i | 1.13333i | ||||||||
\(612\) | −1.51758 | − | 2.05423i | −0.0613445 | − | 0.0830374i | ||||
\(613\) | 7.84775 | 0.316968 | 0.158484 | − | 0.987362i | \(-0.449339\pi\) | ||||
0.158484 | + | 0.987362i | \(0.449339\pi\) | |||||||
\(614\) | −14.0061 | + | 4.61249i | −0.565242 | + | 0.186145i | ||||
\(615\) | 6.62501 | 0.267146 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −28.8434 | −1.16119 | −0.580597 | − | 0.814191i | \(-0.697181\pi\) | ||||
−0.580597 | + | 0.814191i | \(0.697181\pi\) | |||||||
\(618\) | 12.3872 | − | 4.07935i | 0.498287 | − | 0.164095i | ||||
\(619\) | 2.48557 | 0.0999034 | 0.0499517 | − | 0.998752i | \(-0.484093\pi\) | ||||
0.0499517 | + | 0.998752i | \(0.484093\pi\) | |||||||
\(620\) | −3.01692 | − | 4.08377i | −0.121162 | − | 0.164008i | ||||
\(621\) | − | 20.1615i | − | 0.809052i | ||||||
\(622\) | −10.6465 | + | 3.50609i | −0.426885 | + | 0.140581i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 8.33885 | + | 2.56364i | 0.333821 | + | 0.102628i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −6.39943 | − | 19.4323i | −0.255773 | − | 0.776672i | ||||
\(627\) | − | 20.7762i | − | 0.829720i | ||||||
\(628\) | 3.66323 | + | 4.95864i | 0.146179 | + | 0.197871i | ||||
\(629\) | − | 6.59647i | − | 0.263019i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.90728i | 0.354593i | 0.984157 | + | 0.177297i | \(0.0567352\pi\) | ||||
−0.984157 | + | 0.177297i | \(0.943265\pi\) | |||||||
\(632\) | 1.05944 | + | 0.750598i | 0.0421424 | + | 0.0298572i | ||||
\(633\) | − | 8.31460i | − | 0.330476i | ||||||
\(634\) | −4.75115 | + | 1.56465i | −0.188692 | + | 0.0621400i | ||||
\(635\) | −4.91036 | −0.194862 | ||||||||
\(636\) | 4.51609 | − | 3.33630i | 0.179075 | − | 0.132293i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0.720911 | + | 2.18910i | 0.0285412 | + | 0.0866672i | ||||
\(639\) | − | 21.8063i | − | 0.862645i | ||||||
\(640\) | 8.96447 | − | 6.90205i | 0.354352 | − | 0.272827i | ||||
\(641\) | 14.6330 | 0.577970 | 0.288985 | − | 0.957334i | \(-0.406682\pi\) | ||||
0.288985 | + | 0.957334i | \(0.406682\pi\) | |||||||
\(642\) | −2.52449 | − | 7.66580i | −0.0996338 | − | 0.302545i | ||||
\(643\) | −24.2513 | −0.956380 | −0.478190 | − | 0.878256i | \(-0.658707\pi\) | ||||
−0.478190 | + | 0.878256i | \(0.658707\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 5.22827 | 0.205863 | ||||||||
\(646\) | −1.59047 | − | 4.82958i | −0.0625763 | − | 0.190017i | ||||
\(647\) | 29.9156 | 1.17611 | 0.588053 | − | 0.808823i | \(-0.299895\pi\) | ||||
0.588053 | + | 0.808823i | \(0.299895\pi\) | |||||||
\(648\) | −3.84106 | + | 5.42153i | −0.150891 | + | 0.212978i | ||||
\(649\) | 12.9889i | 0.509858i | ||||||||
\(650\) | −1.07046 | − | 3.25054i | −0.0419870 | − | 0.127496i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.36935 | + | 7.26808i | 0.210280 | + | 0.284640i | ||||
\(653\) | −15.5631 | −0.609031 | −0.304516 | − | 0.952507i | \(-0.598495\pi\) | ||||
−0.304516 | + | 0.952507i | \(0.598495\pi\) | |||||||
\(654\) | −22.7123 | + | 7.47959i | −0.888121 | + | 0.292475i | ||||
\(655\) | − | 15.8745i | − | 0.620267i | ||||||
\(656\) | −28.1046 | − | 8.64029i | −1.09730 | − | 0.337347i | ||||
\(657\) | 21.4371i | 0.836340i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 30.2702i | − | 1.17916i | −0.807710 | − | 0.589580i | \(-0.799293\pi\) | ||
0.807710 | − | 0.589580i | \(-0.200707\pi\) | |||||||
\(660\) | −5.42594 | + | 4.00845i | −0.211204 | + | 0.156029i | ||||
\(661\) | − | 17.9220i | − | 0.697084i | −0.937293 | − | 0.348542i | \(-0.886677\pi\) | ||
0.937293 | − | 0.348542i | \(-0.113323\pi\) | |||||||
\(662\) | 10.4086 | + | 31.6063i | 0.404540 | + | 1.22841i | ||||
\(663\) | −1.27309 | −0.0494429 | ||||||||
\(664\) | 4.24714 | − | 5.99470i | 0.164821 | − | 0.232640i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −33.2087 | + | 10.9363i | −1.28681 | + | 0.423772i | ||||
\(667\) | 1.87776i | 0.0727071i | ||||||||
\(668\) | −27.2436 | + | 20.1264i | −1.05409 | + | 0.778714i | ||||
\(669\) | −21.8452 | −0.844585 | ||||||||
\(670\) | 13.2243 | − | 4.35501i | 0.510899 | − | 0.168249i | ||||
\(671\) | 38.8754 | 1.50077 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21.1876 | 0.816723 | 0.408362 | − | 0.912820i | \(-0.366100\pi\) | ||||
0.408362 | + | 0.912820i | \(0.366100\pi\) | |||||||
\(674\) | −6.85134 | + | 2.25628i | −0.263904 | + | 0.0869085i | ||||
\(675\) | −4.67556 | −0.179962 | ||||||||
\(676\) | 11.4922 | − | 8.48996i | 0.442009 | − | 0.326537i | ||||
\(677\) | − | 25.2570i | − | 0.970707i | −0.874318 | − | 0.485353i | \(-0.838691\pi\) | ||
0.874318 | − | 0.485353i | \(-0.161309\pi\) | |||||||
\(678\) | 5.05863 | − | 1.66590i | 0.194275 | − | 0.0639786i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.954444 | + | 1.34717i | −0.0366012 | + | 0.0516615i | ||||
\(681\) | 9.58280 | 0.367214 | ||||||||
\(682\) | −4.20275 | − | 12.7620i | −0.160932 | − | 0.488680i | ||||
\(683\) | − | 22.0999i | − | 0.845628i | −0.906216 | − | 0.422814i | \(-0.861042\pi\) | ||
0.906216 | − | 0.422814i | \(-0.138958\pi\) | |||||||
\(684\) | −21.6768 | + | 16.0139i | −0.828833 | + | 0.612306i | ||||
\(685\) | 7.84221i | 0.299635i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 26.5993i | 1.01483i | ||||||||
\(688\) | −22.1793 | − | 6.81868i | −0.845579 | − | 0.259960i | ||||
\(689\) | 7.53778i | 0.287167i | ||||||||
\(690\) | −5.22041 | + | 1.71918i | −0.198738 | + | 0.0654481i | ||||
\(691\) | −18.1102 | −0.688943 | −0.344471 | − | 0.938797i | \(-0.611942\pi\) | ||||
−0.344471 | + | 0.938797i | \(0.611942\pi\) | |||||||
\(692\) | 0.157697 | + | 0.213462i | 0.00599473 | + | 0.00811461i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.737153 | − | 2.23841i | −0.0279819 | − | 0.0849691i | ||||
\(695\) | 17.4044i | 0.660188i | ||||||||
\(696\) | −0.641736 | + | 0.905790i | −0.0243249 | + | 0.0343339i | ||||
\(697\) | 4.29073 | 0.162523 | ||||||||
\(698\) | −12.2126 | − | 37.0845i | −0.462255 | − | 1.40367i | ||||
\(699\) | −25.2991 | −0.956901 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 14.4315 | 0.545070 | 0.272535 | − | 0.962146i | \(-0.412138\pi\) | ||||
0.272535 | + | 0.962146i | \(0.412138\pi\) | |||||||
\(702\) | 5.00501 | + | 15.1981i | 0.188902 | + | 0.573614i | ||||
\(703\) | −69.6077 | −2.62530 | ||||||||
\(704\) | 28.2457 | − | 9.92814i | 1.06455 | − | 0.374181i | ||||
\(705\) | − | 10.4337i | − | 0.392955i | ||||||
\(706\) | 12.0134 | + | 36.4796i | 0.452131 | + | 1.37293i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −5.03189 | + | 3.71735i | −0.189110 | + | 0.139706i | ||||
\(709\) | −37.0262 | −1.39055 | −0.695275 | − | 0.718744i | \(-0.744717\pi\) | ||||
−0.695275 | + | 0.718744i | \(0.744717\pi\) | |||||||
\(710\) | −13.3891 | + | 4.40929i | −0.502485 | + | 0.165478i | ||||
\(711\) | 1.00426i | 0.0376628i | ||||||||
\(712\) | 22.8025 | + | 16.1551i | 0.854559 | + | 0.605440i | ||||
\(713\) | − | 10.9469i | − | 0.409965i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 9.05640i | − | 0.338690i | ||||||
\(716\) | −19.1320 | − | 25.8976i | −0.714997 | − | 0.967838i | ||||
\(717\) | − | 12.2825i | − | 0.458698i | ||||||
\(718\) | −7.41168 | − | 22.5061i | −0.276601 | − | 0.839919i | ||||
\(719\) | 20.1950 | 0.753145 | 0.376573 | − | 0.926387i | \(-0.377103\pi\) | ||||
0.376573 | + | 0.926387i | \(0.377103\pi\) | |||||||
\(720\) | 8.36443 | + | 2.57151i | 0.311724 | + | 0.0958345i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −25.4412 | + | 8.37828i | −0.946824 | + | 0.311807i | ||||
\(723\) | − | 3.79204i | − | 0.141028i | ||||||
\(724\) | −4.74545 | − | 6.42357i | −0.176363 | − | 0.238730i | ||||
\(725\) | 0.435463 | 0.0161727 | ||||||||
\(726\) | −3.63921 | + | 1.19846i | −0.135064 | + | 0.0444791i | ||||
\(727\) | 10.7925 | 0.400272 | 0.200136 | − | 0.979768i | \(-0.435862\pi\) | ||||
0.200136 | + | 0.979768i | \(0.435862\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 7.50278 | 0.277881 | ||||||||
\(730\) | 13.1624 | − | 4.33463i | 0.487162 | − | 0.160432i | ||||
\(731\) | 3.38613 | 0.125240 | ||||||||
\(732\) | 11.1259 | + | 15.0603i | 0.411226 | + | 0.556646i | ||||
\(733\) | 7.23222i | 0.267128i | 0.991040 | + | 0.133564i | \(0.0426422\pi\) | ||||
−0.991040 | + | 0.133564i | \(0.957358\pi\) | |||||||
\(734\) | 11.3427 | − | 3.73538i | 0.418668 | − | 0.137875i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 24.3881 | − | 0.484669i | 0.898958 | − | 0.0178651i | ||||
\(737\) | 36.8445 | 1.35719 | ||||||||
\(738\) | −7.11359 | − | 21.6009i | −0.261855 | − | 0.795140i | ||||
\(739\) | − | 1.98524i | − | 0.0730284i | −0.999333 | − | 0.0365142i | \(-0.988375\pi\) | ||
0.999333 | − | 0.0365142i | \(-0.0116254\pi\) | |||||||
\(740\) | 13.4298 | + | 18.1789i | 0.493688 | + | 0.668269i | ||||
\(741\) | 13.4340i | 0.493511i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.8225i | 0.727216i | 0.931552 | + | 0.363608i | \(0.118455\pi\) | ||||
−0.931552 | + | 0.363608i | \(0.881545\pi\) | |||||||
\(744\) | 3.74118 | − | 5.28055i | 0.137158 | − | 0.193595i | ||||
\(745\) | − | 1.65155i | − | 0.0605082i | ||||||
\(746\) | 13.9392 | − | 4.59045i | 0.510351 | − | 0.168068i | ||||
\(747\) | 5.68247 | 0.207911 | ||||||||
\(748\) | −3.51414 | + | 2.59610i | −0.128490 | + | 0.0949228i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0.398687 | + | 1.21064i | 0.0145580 | + | 0.0442064i | ||||
\(751\) | − | 24.1007i | − | 0.879448i | −0.898133 | − | 0.439724i | \(-0.855076\pi\) | ||
0.898133 | − | 0.439724i | \(-0.144924\pi\) | |||||||
\(752\) | −13.6075 | + | 44.2616i | −0.496215 | + | 1.61406i | ||||
\(753\) | 17.0184 | 0.620186 | ||||||||
\(754\) | −0.466147 | − | 1.41549i | −0.0169761 | − | 0.0515490i | ||||
\(755\) | −7.35613 | −0.267717 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 34.8711 | 1.26741 | 0.633706 | − | 0.773574i | \(-0.281533\pi\) | ||||
0.633706 | + | 0.773574i | \(0.281533\pi\) | |||||||
\(758\) | −5.21876 | − | 15.8471i | −0.189554 | − | 0.575594i | ||||
\(759\) | −14.5447 | −0.527940 | ||||||||
\(760\) | 14.2156 | + | 10.0715i | 0.515656 | + | 0.365333i | ||||
\(761\) | 8.96763i | 0.325076i | 0.986702 | + | 0.162538i | \(0.0519681\pi\) | ||||
−0.986702 | + | 0.162538i | \(0.948032\pi\) | |||||||
\(762\) | −1.95770 | − | 5.94469i | −0.0709200 | − | 0.215353i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 23.8273 | + | 32.2533i | 0.862043 | + | 1.16688i | ||||
\(765\) | −1.27700 | −0.0461700 | ||||||||
\(766\) | −1.28555 | + | 0.423356i | −0.0464488 | + | 0.0152965i | ||||
\(767\) | − | 8.39870i | − | 0.303260i | ||||||
\(768\) | 11.9299 | + | 8.10100i | 0.430484 | + | 0.292320i | ||||
\(769\) | 0.573577i | 0.0206837i | 0.999947 | + | 0.0103419i | \(0.00329197\pi\) | ||||
−0.999947 | + | 0.0103419i | \(0.996708\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 23.2841i | − | 0.838556i | ||||||
\(772\) | 31.1098 | − | 22.9826i | 1.11966 | − | 0.827160i | ||||
\(773\) | 4.34850i | 0.156405i | 0.996938 | + | 0.0782023i | \(0.0249180\pi\) | ||||
−0.996938 | + | 0.0782023i | \(0.975082\pi\) | |||||||
\(774\) | −5.61385 | − | 17.0468i | −0.201786 | − | 0.612736i | ||||
\(775\) | −2.53865 | −0.0911910 | ||||||||
\(776\) | 10.4789 | + | 7.42411i | 0.376170 | + | 0.266510i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 40.5179 | − | 13.3433i | 1.45264 | − | 0.478381i | ||||
\(779\) | − | 45.2769i | − | 1.62221i | ||||||
\(780\) | 3.50845 | − | 2.59189i | 0.125623 | − | 0.0928047i | ||||
\(781\) | −37.3038 | −1.33483 | ||||||||
\(782\) | −3.38103 | + | 1.11344i | −0.120905 | + | 0.0398165i |