Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [64,2,Mod(5,64)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(64, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([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("64.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 64 = 2^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 64.i (of order \(16\), 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: | \(0.511042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Character | \(\chi\) | \(=\) | 64.29 |
Dual form | 64.2.i.a.53.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(63\) |
\(\chi(n)\) | \(e\left(\frac{11}{16}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.182356 | − | 1.40241i | 0.128945 | − | 0.991652i | ||||
\(3\) | 1.93660 | + | 0.385213i | 1.11809 | + | 0.222403i | 0.719342 | − | 0.694656i | \(-0.244443\pi\) |
0.398752 | + | 0.917059i | \(0.369443\pi\) | |||||||
\(4\) | −1.93349 | − | 0.511475i | −0.966746 | − | 0.255737i | ||||
\(5\) | −0.787711 | + | 1.17889i | −0.352275 | + | 0.527217i | −0.964714 | − | 0.263301i | \(-0.915189\pi\) |
0.612439 | + | 0.790518i | \(0.290189\pi\) | |||||||
\(6\) | 0.893376 | − | 2.64565i | 0.364719 | − | 1.08008i | ||||
\(7\) | −2.16489 | + | 0.896725i | −0.818250 | + | 0.338930i | −0.752240 | − | 0.658889i | \(-0.771027\pi\) |
−0.0660095 | + | 0.997819i | \(0.521027\pi\) | |||||||
\(8\) | −1.06988 | + | 2.61827i | −0.378260 | + | 0.925699i | ||||
\(9\) | 0.830380 | + | 0.343954i | 0.276793 | + | 0.114651i | ||||
\(10\) | 1.50964 | + | 1.31967i | 0.477391 | + | 0.417316i | ||||
\(11\) | −1.08337 | − | 5.44648i | −0.326649 | − | 1.64218i | −0.699752 | − | 0.714386i | \(-0.746706\pi\) |
0.373102 | − | 0.927790i | \(-0.378294\pi\) | |||||||
\(12\) | −3.54737 | − | 1.73533i | −1.02404 | − | 0.500946i | ||||
\(13\) | 1.49710 | + | 2.24057i | 0.415221 | + | 0.621422i | 0.978843 | − | 0.204610i | \(-0.0655927\pi\) |
−0.563623 | + | 0.826032i | \(0.690593\pi\) | |||||||
\(14\) | 0.862794 | + | 3.19957i | 0.230591 | + | 0.855122i | ||||
\(15\) | −1.97960 | + | 1.97960i | −0.511132 | + | 0.511132i | ||||
\(16\) | 3.47679 | + | 1.97787i | 0.869197 | + | 0.494466i | ||||
\(17\) | 3.43875 | + | 3.43875i | 0.834020 | + | 0.834020i | 0.988064 | − | 0.154044i | \(-0.0492299\pi\) |
−0.154044 | + | 0.988064i | \(0.549230\pi\) | |||||||
\(18\) | 0.633789 | − | 1.10181i | 0.149386 | − | 0.259699i | ||||
\(19\) | −1.24019 | + | 0.828669i | −0.284519 | + | 0.190110i | −0.689638 | − | 0.724154i | \(-0.742230\pi\) |
0.405118 | + | 0.914264i | \(0.367230\pi\) | |||||||
\(20\) | 2.12601 | − | 1.87649i | 0.475390 | − | 0.419595i | ||||
\(21\) | −4.53794 | + | 0.902653i | −0.990260 | + | 0.196975i | ||||
\(22\) | −7.83575 | + | 0.526131i | −1.67059 | + | 0.112171i | ||||
\(23\) | 2.14281 | − | 5.17319i | 0.446806 | − | 1.07868i | −0.526706 | − | 0.850048i | \(-0.676573\pi\) |
0.973512 | − | 0.228637i | \(-0.0734270\pi\) | |||||||
\(24\) | −3.08052 | + | 4.65841i | −0.628808 | + | 0.950894i | ||||
\(25\) | 1.14412 | + | 2.76214i | 0.228823 | + | 0.552429i | ||||
\(26\) | 3.41520 | − | 1.69096i | 0.669775 | − | 0.331625i | ||||
\(27\) | −3.44969 | − | 2.30501i | −0.663893 | − | 0.443599i | ||||
\(28\) | 4.64444 | − | 0.626526i | 0.877717 | − | 0.118402i | ||||
\(29\) | 1.63164 | − | 8.20281i | 0.302988 | − | 1.52322i | −0.466476 | − | 0.884534i | \(-0.654476\pi\) |
0.769464 | − | 0.638690i | \(-0.220524\pi\) | |||||||
\(30\) | 2.41522 | + | 3.13720i | 0.440957 | + | 0.572772i | ||||
\(31\) | 5.17816i | 0.930026i | 0.885304 | + | 0.465013i | \(0.153950\pi\) | ||||
−0.885304 | + | 0.465013i | \(0.846050\pi\) | |||||||
\(32\) | 3.40779 | − | 4.51520i | 0.602417 | − | 0.798181i | ||||
\(33\) | − | 10.9650i | − | 1.90876i | ||||||
\(34\) | 5.44961 | − | 4.19545i | 0.934600 | − | 0.719514i | ||||
\(35\) | 0.648162 | − | 3.25853i | 0.109559 | − | 0.550792i | ||||
\(36\) | −1.42961 | − | 1.08975i | −0.238268 | − | 0.181625i | ||||
\(37\) | −6.79044 | − | 4.53723i | −1.11634 | − | 0.745916i | −0.146394 | − | 0.989226i | \(-0.546767\pi\) |
−0.969948 | + | 0.243310i | \(0.921767\pi\) | |||||||
\(38\) | 0.935975 | + | 1.89037i | 0.151835 | + | 0.306658i | ||||
\(39\) | 2.03618 | + | 4.91578i | 0.326050 | + | 0.787155i | ||||
\(40\) | −2.24391 | − | 3.32372i | −0.354793 | − | 0.525526i | ||||
\(41\) | −2.24634 | + | 5.42314i | −0.350819 | + | 0.846952i | 0.645701 | + | 0.763591i | \(0.276565\pi\) |
−0.996519 | + | 0.0833609i | \(0.973435\pi\) | |||||||
\(42\) | 0.438366 | + | 6.52865i | 0.0676413 | + | 1.00739i | ||||
\(43\) | 4.16031 | − | 0.827538i | 0.634442 | − | 0.126198i | 0.132617 | − | 0.991167i | \(-0.457662\pi\) |
0.501825 | + | 0.864969i | \(0.332662\pi\) | |||||||
\(44\) | −0.691046 | + | 11.0849i | −0.104179 | + | 1.67110i | ||||
\(45\) | −1.05958 | + | 0.707992i | −0.157954 | + | 0.105541i | ||||
\(46\) | −6.86417 | − | 3.94845i | −1.01207 | − | 0.582167i | ||||
\(47\) | −0.733603 | − | 0.733603i | −0.107007 | − | 0.107007i | 0.651576 | − | 0.758583i | \(-0.274108\pi\) |
−0.758583 | + | 0.651576i | \(0.774108\pi\) | |||||||
\(48\) | 5.97123 | + | 5.16963i | 0.861873 | + | 0.746172i | ||||
\(49\) | −1.06713 | + | 1.06713i | −0.152448 | + | 0.152448i | ||||
\(50\) | 4.08229 | − | 1.10082i | 0.577322 | − | 0.155680i | ||||
\(51\) | 5.33482 | + | 7.98413i | 0.747025 | + | 1.11800i | ||||
\(52\) | −1.74864 | − | 5.09785i | −0.242492 | − | 0.706945i | ||||
\(53\) | 0.575078 | + | 2.89111i | 0.0789930 | + | 0.397125i | 0.999972 | + | 0.00751192i | \(0.00239114\pi\) |
−0.920979 | + | 0.389613i | \(0.872609\pi\) | |||||||
\(54\) | −3.86163 | + | 4.41754i | −0.525501 | + | 0.601150i | ||||
\(55\) | 7.27421 | + | 3.01307i | 0.980854 | + | 0.406283i | ||||
\(56\) | −0.0317030 | − | 6.62765i | −0.00423649 | − | 0.885657i | ||||
\(57\) | −2.72096 | + | 1.12706i | −0.360401 | + | 0.149283i | ||||
\(58\) | −11.2061 | − | 3.78406i | −1.47144 | − | 0.496871i | ||||
\(59\) | −3.31738 | + | 4.96481i | −0.431886 | + | 0.646363i | −0.982034 | − | 0.188704i | \(-0.939571\pi\) |
0.550148 | + | 0.835067i | \(0.314571\pi\) | |||||||
\(60\) | 4.84007 | − | 2.81503i | 0.624850 | − | 0.363419i | ||||
\(61\) | 0.382794 | + | 0.0761424i | 0.0490117 | + | 0.00974904i | 0.219535 | − | 0.975605i | \(-0.429546\pi\) |
−0.170524 | + | 0.985354i | \(0.554546\pi\) | |||||||
\(62\) | 7.26190 | + | 0.944270i | 0.922262 | + | 0.119922i | ||||
\(63\) | −2.10611 | −0.265345 | ||||||||
\(64\) | −5.71071 | − | 5.60248i | −0.713839 | − | 0.700310i | ||||
\(65\) | −3.82067 | −0.473896 | ||||||||
\(66\) | −15.3774 | − | 1.99953i | −1.89282 | − | 0.246125i | ||||
\(67\) | 1.67538 | + | 0.333253i | 0.204680 | + | 0.0407133i | 0.296365 | − | 0.955075i | \(-0.404225\pi\) |
−0.0916855 | + | 0.995788i | \(0.529225\pi\) | |||||||
\(68\) | −4.88996 | − | 8.40763i | −0.592995 | − | 1.01958i | ||||
\(69\) | 6.14253 | − | 9.19295i | 0.739474 | − | 1.10670i | ||||
\(70\) | −4.45159 | − | 1.50320i | −0.532067 | − | 0.179667i | ||||
\(71\) | −0.843458 | + | 0.349372i | −0.100100 | + | 0.0414628i | −0.432172 | − | 0.901791i | \(-0.642252\pi\) |
0.332071 | + | 0.943254i | \(0.392252\pi\) | |||||||
\(72\) | −1.78897 | + | 1.80617i | −0.210833 | + | 0.212859i | ||||
\(73\) | 11.9774 | + | 4.96122i | 1.40185 | + | 0.580667i | 0.950232 | − | 0.311543i | \(-0.100846\pi\) |
0.451622 | + | 0.892210i | \(0.350846\pi\) | |||||||
\(74\) | −7.60132 | + | 8.69558i | −0.883636 | + | 1.01084i | ||||
\(75\) | 1.15168 | + | 5.78989i | 0.132985 | + | 0.668559i | ||||
\(76\) | 2.82174 | − | 0.967899i | 0.323676 | − | 0.111026i | ||||
\(77\) | 7.22938 | + | 10.8195i | 0.823864 | + | 1.23300i | ||||
\(78\) | 7.26524 | − | 1.95914i | 0.822626 | − | 0.221828i | ||||
\(79\) | −5.30583 | + | 5.30583i | −0.596952 | + | 0.596952i | −0.939500 | − | 0.342548i | \(-0.888710\pi\) |
0.342548 | + | 0.939500i | \(0.388710\pi\) | |||||||
\(80\) | −5.07040 | + | 2.54077i | −0.566888 | + | 0.284067i | ||||
\(81\) | −7.69937 | − | 7.69937i | −0.855486 | − | 0.855486i | ||||
\(82\) | 7.19581 | + | 4.13922i | 0.794645 | + | 0.457100i | ||||
\(83\) | −1.28800 | + | 0.860615i | −0.141376 | + | 0.0944647i | −0.624247 | − | 0.781227i | \(-0.714594\pi\) |
0.482871 | + | 0.875692i | \(0.339594\pi\) | |||||||
\(84\) | 9.23576 | + | 0.575771i | 1.00770 | + | 0.0628218i | ||||
\(85\) | −6.76266 | + | 1.34518i | −0.733514 | + | 0.145905i | ||||
\(86\) | −0.401887 | − | 5.98536i | −0.0433366 | − | 0.645418i | ||||
\(87\) | 6.31966 | − | 15.2570i | 0.677539 | − | 1.63572i | ||||
\(88\) | 15.4195 | + | 2.99052i | 1.64372 | + | 0.318790i | ||||
\(89\) | −3.98900 | − | 9.63030i | −0.422833 | − | 1.02081i | −0.981508 | − | 0.191422i | \(-0.938690\pi\) |
0.558675 | − | 0.829387i | \(-0.311310\pi\) | |||||||
\(90\) | 0.799671 | + | 1.61508i | 0.0842928 | + | 0.170244i | ||||
\(91\) | −5.25023 | − | 3.50809i | −0.550373 | − | 0.367748i | ||||
\(92\) | −6.78906 | + | 8.90634i | −0.707808 | + | 0.928550i | ||||
\(93\) | −1.99470 | + | 10.0280i | −0.206840 | + | 1.03986i | ||||
\(94\) | −1.16259 | + | 0.895033i | −0.119912 | + | 0.0923156i | ||||
\(95\) | − | 2.11480i | − | 0.216974i | ||||||
\(96\) | 8.33882 | − | 7.43139i | 0.851077 | − | 0.758463i | ||||
\(97\) | − | 4.23236i | − | 0.429731i | −0.976644 | − | 0.214866i | \(-0.931069\pi\) | ||
0.976644 | − | 0.214866i | \(-0.0689313\pi\) | |||||||
\(98\) | 1.30196 | + | 1.69115i | 0.131518 | + | 0.170832i | ||||
\(99\) | 0.973732 | − | 4.89528i | 0.0978637 | − | 0.491994i | ||||
\(100\) | −0.799375 | − | 5.92577i | −0.0799375 | − | 0.592577i | ||||
\(101\) | 12.6885 | + | 8.47818i | 1.26255 | + | 0.843610i | 0.992854 | − | 0.119335i | \(-0.0380763\pi\) |
0.269697 | + | 0.962945i | \(0.413076\pi\) | |||||||
\(102\) | 12.1698 | − | 6.02564i | 1.20499 | − | 0.596627i | ||||
\(103\) | −1.63698 | − | 3.95201i | −0.161296 | − | 0.389404i | 0.822482 | − | 0.568791i | \(-0.192589\pi\) |
−0.983779 | + | 0.179387i | \(0.942589\pi\) | |||||||
\(104\) | −7.46814 | + | 1.52268i | −0.732311 | + | 0.149311i | ||||
\(105\) | 2.51046 | − | 6.06078i | 0.244995 | − | 0.591471i | ||||
\(106\) | 4.15938 | − | 0.279282i | 0.403995 | − | 0.0271262i | ||||
\(107\) | 6.49362 | − | 1.29166i | 0.627762 | − | 0.124870i | 0.129051 | − | 0.991638i | \(-0.458807\pi\) |
0.498711 | + | 0.866768i | \(0.333807\pi\) | |||||||
\(108\) | 5.49099 | + | 6.22114i | 0.528371 | + | 0.598630i | ||||
\(109\) | 9.55062 | − | 6.38152i | 0.914783 | − | 0.611239i | −0.00656414 | − | 0.999978i | \(-0.502089\pi\) |
0.921348 | + | 0.388740i | \(0.127089\pi\) | |||||||
\(110\) | 5.55205 | − | 9.65195i | 0.529368 | − | 0.920277i | ||||
\(111\) | −11.4026 | − | 11.4026i | −1.08228 | − | 1.08228i | ||||
\(112\) | −9.30045 | − | 1.16413i | −0.878810 | − | 0.110000i | ||||
\(113\) | −5.02130 | + | 5.02130i | −0.472365 | + | 0.472365i | −0.902679 | − | 0.430314i | \(-0.858403\pi\) |
0.430314 | + | 0.902679i | \(0.358403\pi\) | |||||||
\(114\) | 1.08441 | + | 4.02143i | 0.101565 | + | 0.376641i | ||||
\(115\) | 4.41073 | + | 6.60112i | 0.411302 | + | 0.615558i | ||||
\(116\) | −7.35030 | + | 15.0255i | −0.682458 | + | 1.39509i | ||||
\(117\) | 0.472508 | + | 2.37546i | 0.0436834 | + | 0.219611i | ||||
\(118\) | 6.35774 | + | 5.55768i | 0.585277 | + | 0.511626i | ||||
\(119\) | −10.5281 | − | 4.36089i | −0.965111 | − | 0.399762i | ||||
\(120\) | −3.06521 | − | 7.30108i | −0.279814 | − | 0.666495i | ||||
\(121\) | −18.3278 | + | 7.59162i | −1.66616 | + | 0.690148i | ||||
\(122\) | 0.176587 | − | 0.522948i | 0.0159875 | − | 0.0473455i | ||||
\(123\) | −6.43931 | + | 9.63711i | −0.580613 | + | 0.868949i | ||||
\(124\) | 2.64850 | − | 10.0119i | 0.237842 | − | 0.899099i | ||||
\(125\) | −11.1105 | − | 2.21002i | −0.993753 | − | 0.197670i | ||||
\(126\) | −0.384062 | + | 2.95362i | −0.0342149 | + | 0.263130i | ||||
\(127\) | 14.0495 | 1.24669 | 0.623345 | − | 0.781947i | \(-0.285773\pi\) | ||||
0.623345 | + | 0.781947i | \(0.285773\pi\) | |||||||
\(128\) | −8.89834 | + | 6.98710i | −0.786510 | + | 0.617578i | ||||
\(129\) | 8.37563 | 0.737433 | ||||||||
\(130\) | −0.696723 | + | 5.35814i | −0.0611067 | + | 0.469940i | ||||
\(131\) | −15.6501 | − | 3.11300i | −1.36736 | − | 0.271984i | −0.543799 | − | 0.839216i | \(-0.683015\pi\) |
−0.823559 | + | 0.567231i | \(0.808015\pi\) | |||||||
\(132\) | −5.60831 | + | 21.2007i | −0.488141 | + | 1.84528i | ||||
\(133\) | 1.94178 | − | 2.90608i | 0.168374 | − | 0.251989i | ||||
\(134\) | 0.772871 | − | 2.28879i | 0.0667659 | − | 0.197721i | ||||
\(135\) | 5.43472 | − | 2.25113i | 0.467746 | − | 0.193747i | ||||
\(136\) | −12.6826 | + | 5.32454i | −1.08753 | + | 0.456575i | ||||
\(137\) | −5.39532 | − | 2.23482i | −0.460953 | − | 0.190933i | 0.140108 | − | 0.990136i | \(-0.455255\pi\) |
−0.601061 | + | 0.799203i | \(0.705255\pi\) | |||||||
\(138\) | −11.7721 | − | 10.2907i | −1.00211 | − | 0.876004i | ||||
\(139\) | −0.198971 | − | 1.00029i | −0.0168765 | − | 0.0848438i | 0.971429 | − | 0.237330i | \(-0.0762721\pi\) |
−0.988306 | + | 0.152486i | \(0.951272\pi\) | |||||||
\(140\) | −2.91987 | + | 5.96882i | −0.246774 | + | 0.504458i | ||||
\(141\) | −1.13810 | − | 1.70329i | −0.0958452 | − | 0.143443i | ||||
\(142\) | 0.336152 | + | 1.24658i | 0.0282092 | + | 0.104611i | ||||
\(143\) | 10.5813 | − | 10.5813i | 0.884853 | − | 0.884853i | ||||
\(144\) | 2.20676 | + | 2.83824i | 0.183896 | + | 0.236520i | ||||
\(145\) | 8.38498 | + | 8.38498i | 0.696335 | + | 0.696335i | ||||
\(146\) | 9.14181 | − | 15.8925i | 0.756582 | − | 1.31528i | ||||
\(147\) | −2.47768 | + | 1.65553i | −0.204356 | + | 0.136546i | ||||
\(148\) | 10.8086 | + | 12.2458i | 0.888461 | + | 1.00660i | ||||
\(149\) | 0.0445180 | − | 0.00885518i | 0.00364705 | − | 0.000725444i | −0.193266 | − | 0.981146i | \(-0.561908\pi\) |
0.196914 | + | 0.980421i | \(0.436908\pi\) | |||||||
\(150\) | 8.32980 | − | 0.559304i | 0.680125 | − | 0.0456670i | ||||
\(151\) | −7.79199 | + | 18.8115i | −0.634103 | + | 1.53086i | 0.200316 | + | 0.979731i | \(0.435803\pi\) |
−0.834419 | + | 0.551130i | \(0.814197\pi\) | |||||||
\(152\) | −0.842827 | − | 4.13374i | −0.0683623 | − | 0.335290i | ||||
\(153\) | 1.67269 | + | 4.03824i | 0.135229 | + | 0.326473i | ||||
\(154\) | 16.4917 | − | 8.16552i | 1.32894 | − | 0.657997i | ||||
\(155\) | −6.10450 | − | 4.07890i | −0.490325 | − | 0.327625i | ||||
\(156\) | −1.42265 | − | 10.5461i | −0.113903 | − | 0.844362i | ||||
\(157\) | 2.88193 | − | 14.4885i | 0.230003 | − | 1.15631i | −0.677260 | − | 0.735743i | \(-0.736833\pi\) |
0.907264 | − | 0.420562i | \(-0.138167\pi\) | |||||||
\(158\) | 6.47338 | + | 8.40848i | 0.514995 | + | 0.668943i | ||||
\(159\) | 5.82044i | 0.461591i | ||||||||
\(160\) | 2.63858 | + | 7.57409i | 0.208598 | + | 0.598784i | ||||
\(161\) | 13.1209i | 1.03407i | ||||||||
\(162\) | −12.2017 | + | 9.39363i | −0.958655 | + | 0.738033i | ||||
\(163\) | 0.0805216 | − | 0.404809i | 0.00630694 | − | 0.0317071i | −0.977504 | − | 0.210918i | \(-0.932355\pi\) |
0.983811 | + | 0.179211i | \(0.0573546\pi\) | |||||||
\(164\) | 7.11707 | − | 9.33665i | 0.555750 | − | 0.729070i | ||||
\(165\) | 12.9265 | + | 8.63723i | 1.00633 | + | 0.672407i | ||||
\(166\) | 0.972058 | + | 1.96324i | 0.0754463 | + | 0.152377i | ||||
\(167\) | −1.88280 | − | 4.54548i | −0.145695 | − | 0.351740i | 0.834138 | − | 0.551556i | \(-0.185966\pi\) |
−0.979833 | + | 0.199816i | \(0.935966\pi\) | |||||||
\(168\) | 2.49166 | − | 12.8473i | 0.192236 | − | 0.991191i | ||||
\(169\) | 2.19604 | − | 5.30172i | 0.168926 | − | 0.407825i | ||||
\(170\) | 0.653274 | + | 9.72931i | 0.0501038 | + | 0.746204i | ||||
\(171\) | −1.31485 | + | 0.261541i | −0.100549 | + | 0.0200005i | ||||
\(172\) | −8.46720 | − | 0.527858i | −0.645618 | − | 0.0402488i | ||||
\(173\) | −2.58681 | + | 1.72845i | −0.196672 | + | 0.131412i | −0.650007 | − | 0.759928i | \(-0.725234\pi\) |
0.453335 | + | 0.891340i | \(0.350234\pi\) | |||||||
\(174\) | −20.2441 | − | 11.6450i | −1.53470 | − | 0.882801i | ||||
\(175\) | −4.95377 | − | 4.95377i | −0.374469 | − | 0.374469i | ||||
\(176\) | 7.00576 | − | 21.0790i | 0.528079 | − | 1.58889i | ||||
\(177\) | −8.33693 | + | 8.33693i | −0.626642 | + | 0.626642i | ||||
\(178\) | −14.2330 | + | 3.83806i | −1.06681 | + | 0.287675i | ||||
\(179\) | −2.10987 | − | 3.15764i | −0.157699 | − | 0.236013i | 0.744204 | − | 0.667953i | \(-0.232829\pi\) |
−0.901902 | + | 0.431940i | \(0.857829\pi\) | |||||||
\(180\) | 2.41082 | − | 0.826946i | 0.179692 | − | 0.0616369i | ||||
\(181\) | −0.219878 | − | 1.10540i | −0.0163434 | − | 0.0821639i | 0.971753 | − | 0.236001i | \(-0.0758369\pi\) |
−0.988096 | + | 0.153837i | \(0.950837\pi\) | |||||||
\(182\) | −5.87718 | + | 6.72323i | −0.435646 | + | 0.498359i | ||||
\(183\) | 0.711986 | + | 0.294914i | 0.0526315 | + | 0.0218007i | ||||
\(184\) | 11.2523 | + | 11.1451i | 0.829529 | + | 0.821631i | ||||
\(185\) | 10.6978 | − | 4.43118i | 0.786519 | − | 0.325787i | ||||
\(186\) | 13.6996 | + | 4.62605i | 1.00450 | + | 0.339198i | ||||
\(187\) | 15.0036 | − | 22.4545i | 1.09718 | − | 1.64204i | ||||
\(188\) | 1.04320 | + | 1.79363i | 0.0760829 | + | 0.130814i | ||||
\(189\) | 9.53514 | + | 1.89666i | 0.693579 | + | 0.137961i | ||||
\(190\) | −2.96582 | − | 0.385647i | −0.215163 | − | 0.0279778i | ||||
\(191\) | 22.3207 | 1.61507 | 0.807533 | − | 0.589822i | \(-0.200802\pi\) | ||||
0.807533 | + | 0.589822i | \(0.200802\pi\) | |||||||
\(192\) | −8.90120 | − | 13.0496i | −0.642389 | − | 0.941773i | ||||
\(193\) | 2.10778 | 0.151721 | 0.0758605 | − | 0.997118i | \(-0.475830\pi\) | ||||
0.0758605 | + | 0.997118i | \(0.475830\pi\) | |||||||
\(194\) | −5.93549 | − | 0.771796i | −0.426144 | − | 0.0554118i | ||||
\(195\) | −7.39911 | − | 1.47177i | −0.529861 | − | 0.105396i | ||||
\(196\) | 2.60911 | − | 1.51748i | 0.186365 | − | 0.108392i | ||||
\(197\) | −3.12154 | + | 4.67172i | −0.222401 | + | 0.332846i | −0.925845 | − | 0.377905i | \(-0.876645\pi\) |
0.703444 | + | 0.710751i | \(0.251645\pi\) | |||||||
\(198\) | −6.68761 | − | 2.25825i | −0.475268 | − | 0.160487i | ||||
\(199\) | −14.6371 | + | 6.06290i | −1.03760 | + | 0.429787i | −0.835449 | − | 0.549567i | \(-0.814793\pi\) |
−0.202149 | + | 0.979355i | \(0.564793\pi\) | |||||||
\(200\) | −8.45611 | + | 0.0404493i | −0.597938 | + | 0.00286020i | ||||
\(201\) | 3.11615 | + | 1.29075i | 0.219796 | + | 0.0910427i | ||||
\(202\) | 14.2037 | − | 16.2484i | 0.999367 | − | 1.14323i | ||||
\(203\) | 3.82335 | + | 19.2213i | 0.268347 | + | 1.34907i | ||||
\(204\) | −6.23116 | − | 18.1659i | −0.436268 | − | 1.27187i | ||||
\(205\) | −4.62383 | − | 6.92006i | −0.322943 | − | 0.483318i | ||||
\(206\) | −5.84085 | + | 1.57504i | −0.406951 | + | 0.109738i | ||||
\(207\) | 3.55868 | − | 3.55868i | 0.247346 | − | 0.247346i | ||||
\(208\) | 0.773554 | + | 10.7510i | 0.0536363 | + | 0.745451i | ||||
\(209\) | 5.85692 | + | 5.85692i | 0.405132 | + | 0.405132i | ||||
\(210\) | −8.04188 | − | 4.62590i | −0.554943 | − | 0.319218i | ||||
\(211\) | 2.41276 | − | 1.61216i | 0.166102 | − | 0.110986i | −0.469741 | − | 0.882804i | \(-0.655653\pi\) |
0.635843 | + | 0.771819i | \(0.280653\pi\) | |||||||
\(212\) | 0.366822 | − | 5.88408i | 0.0251935 | − | 0.404120i | ||||
\(213\) | −1.76802 | + | 0.351681i | −0.121143 | + | 0.0240968i | ||||
\(214\) | −0.627284 | − | 9.34224i | −0.0428803 | − | 0.638623i | ||||
\(215\) | −2.30155 | + | 5.55642i | −0.156964 | + | 0.378945i | ||||
\(216\) | 9.72589 | − | 6.56614i | 0.661763 | − | 0.446770i | ||||
\(217\) | −4.64339 | − | 11.2101i | −0.315214 | − | 0.760993i | ||||
\(218\) | −7.20788 | − | 14.5576i | −0.488179 | − | 0.985963i | ||||
\(219\) | 21.2844 | + | 14.2217i | 1.43826 | + | 0.961017i | ||||
\(220\) | −12.5235 | − | 9.54633i | −0.844335 | − | 0.643614i | ||||
\(221\) | −2.55660 | + | 12.8529i | −0.171976 | + | 0.864581i | ||||
\(222\) | −18.0703 | + | 13.9117i | −1.21280 | + | 0.933692i | ||||
\(223\) | 1.84279i | 0.123403i | 0.998095 | + | 0.0617013i | \(0.0196526\pi\) | ||||
−0.998095 | + | 0.0617013i | \(0.980347\pi\) | |||||||
\(224\) | −3.32858 | + | 12.8307i | −0.222400 | + | 0.857289i | ||||
\(225\) | 2.68715i | 0.179143i | ||||||||
\(226\) | 6.12625 | + | 7.95758i | 0.407512 | + | 0.529330i | ||||
\(227\) | −0.293813 | + | 1.47710i | −0.0195011 | + | 0.0980385i | −0.989310 | − | 0.145827i | \(-0.953416\pi\) |
0.969809 | + | 0.243866i | \(0.0784156\pi\) | |||||||
\(228\) | 5.83743 | − | 0.787458i | 0.386593 | − | 0.0521507i | ||||
\(229\) | −16.7852 | − | 11.2155i | −1.10920 | − | 0.741142i | −0.140672 | − | 0.990056i | \(-0.544926\pi\) |
−0.968526 | + | 0.248914i | \(0.919926\pi\) | |||||||
\(230\) | 10.0618 | − | 4.98188i | 0.663454 | − | 0.328496i | ||||
\(231\) | 9.83256 | + | 23.7379i | 0.646935 | + | 1.56184i | ||||
\(232\) | 19.7316 | + | 13.0481i | 1.29544 | + | 0.856651i | ||||
\(233\) | 9.18563 | − | 22.1761i | 0.601771 | − | 1.45280i | −0.269986 | − | 0.962864i | \(-0.587019\pi\) |
0.871757 | − | 0.489939i | \(-0.162981\pi\) | |||||||
\(234\) | 3.41752 | − | 0.229469i | 0.223410 | − | 0.0150009i | ||||
\(235\) | 1.44271 | − | 0.286972i | 0.0941118 | − | 0.0187200i | ||||
\(236\) | 8.95350 | − | 7.90266i | 0.582823 | − | 0.514420i | ||||
\(237\) | −12.3191 | + | 8.23137i | −0.800213 | + | 0.534685i | ||||
\(238\) | −8.03561 | + | 13.9695i | −0.520871 | + | 0.905506i | ||||
\(239\) | 6.58253 | + | 6.58253i | 0.425788 | + | 0.425788i | 0.887191 | − | 0.461403i | \(-0.152654\pi\) |
−0.461403 | + | 0.887191i | \(0.652654\pi\) | |||||||
\(240\) | −10.7981 | + | 2.96727i | −0.697011 | + | 0.191536i | ||||
\(241\) | 13.5889 | − | 13.5889i | 0.875335 | − | 0.875335i | −0.117712 | − | 0.993048i | \(-0.537556\pi\) |
0.993048 | + | 0.117712i | \(0.0375561\pi\) | |||||||
\(242\) | 7.30436 | + | 27.0874i | 0.469542 | + | 1.74125i | ||||
\(243\) | −5.02966 | − | 7.52741i | −0.322653 | − | 0.482884i | ||||
\(244\) | −0.701184 | − | 0.343010i | −0.0448887 | − | 0.0219590i | ||||
\(245\) | −0.417443 | − | 2.09863i | −0.0266695 | − | 0.134076i | ||||
\(246\) | 12.3409 | + | 10.7879i | 0.786827 | + | 0.687813i | ||||
\(247\) | −3.71338 | − | 1.53813i | −0.236277 | − | 0.0978691i | ||||
\(248\) | −13.5579 | − | 5.54002i | −0.860924 | − | 0.351791i | ||||
\(249\) | −2.82586 | + | 1.17051i | −0.179081 | + | 0.0741780i | ||||
\(250\) | −5.12541 | + | 15.1784i | −0.324159 | + | 0.959969i | ||||
\(251\) | −8.95890 | + | 13.4079i | −0.565481 | + | 0.846302i | −0.998481 | − | 0.0550918i | \(-0.982455\pi\) |
0.433000 | + | 0.901394i | \(0.357455\pi\) | |||||||
\(252\) | 4.07215 | + | 1.07722i | 0.256521 | + | 0.0678586i | ||||
\(253\) | −30.4972 | − | 6.06626i | −1.91734 | − | 0.381383i | ||||
\(254\) | 2.56201 | − | 19.7031i | 0.160755 | − | 1.23628i | ||||
\(255\) | −13.6147 | −0.852587 | ||||||||
\(256\) | 8.17609 | + | 13.7532i | 0.511006 | + | 0.859577i | ||||
\(257\) | −13.3833 | −0.834824 | −0.417412 | − | 0.908717i | \(-0.637063\pi\) | ||||
−0.417412 | + | 0.908717i | \(0.637063\pi\) | |||||||
\(258\) | 1.52735 | − | 11.7460i | 0.0950884 | − | 0.731277i | ||||
\(259\) | 18.7692 | + | 3.73342i | 1.16626 | + | 0.231984i | ||||
\(260\) | 7.38725 | + | 1.95418i | 0.458137 | + | 0.121193i | ||||
\(261\) | 4.17628 | − | 6.25024i | 0.258505 | − | 0.386880i | ||||
\(262\) | −7.21959 | + | 21.3802i | −0.446028 | + | 1.32087i | ||||
\(263\) | −19.9818 | + | 8.27672i | −1.23213 | + | 0.510364i | −0.901246 | − | 0.433308i | \(-0.857346\pi\) |
−0.330883 | + | 0.943672i | \(0.607346\pi\) | |||||||
\(264\) | 28.7093 | + | 11.7312i | 1.76693 | + | 0.722006i | ||||
\(265\) | −3.86131 | − | 1.59941i | −0.237198 | − | 0.0982507i | ||||
\(266\) | −3.72142 | − | 3.25311i | −0.228175 | − | 0.199461i | ||||
\(267\) | −4.01537 | − | 20.1866i | −0.245737 | − | 1.23540i | ||||
\(268\) | −3.06888 | − | 1.50125i | −0.187461 | − | 0.0917037i | ||||
\(269\) | −10.3945 | − | 15.5564i | −0.633762 | − | 0.948493i | −0.999840 | − | 0.0179081i | \(-0.994299\pi\) |
0.366077 | − | 0.930584i | \(-0.380701\pi\) | |||||||
\(270\) | −2.16595 | − | 8.03219i | −0.131816 | − | 0.488824i | ||||
\(271\) | −6.71687 | + | 6.71687i | −0.408021 | + | 0.408021i | −0.881048 | − | 0.473027i | \(-0.843161\pi\) |
0.473027 | + | 0.881048i | \(0.343161\pi\) | |||||||
\(272\) | 5.15442 | + | 18.7572i | 0.312532 | + | 1.13732i | ||||
\(273\) | −8.81621 | − | 8.81621i | −0.533581 | − | 0.533581i | ||||
\(274\) | −4.11799 | + | 7.15891i | −0.248777 | + | 0.432485i | ||||
\(275\) | 13.8045 | − | 9.22385i | 0.832440 | − | 0.556219i | ||||
\(276\) | −16.5785 | + | 14.6327i | −0.997909 | + | 0.880788i | ||||
\(277\) | 7.75914 | − | 1.54339i | 0.466201 | − | 0.0927332i | 0.0436004 | − | 0.999049i | \(-0.486117\pi\) |
0.422601 | + | 0.906316i | \(0.361117\pi\) | |||||||
\(278\) | −1.43910 | + | 0.0966284i | −0.0863116 | + | 0.00579539i | ||||
\(279\) | −1.78105 | + | 4.29984i | −0.106629 | + | 0.257425i | ||||
\(280\) | 7.83827 | + | 5.18330i | 0.468426 | + | 0.309761i | ||||
\(281\) | −1.28145 | − | 3.09369i | −0.0764447 | − | 0.184554i | 0.881037 | − | 0.473047i | \(-0.156846\pi\) |
−0.957482 | + | 0.288493i | \(0.906846\pi\) | |||||||
\(282\) | −2.59624 | + | 1.28547i | −0.154604 | + | 0.0765489i | ||||
\(283\) | −5.54432 | − | 3.70460i | −0.329576 | − | 0.220216i | 0.379762 | − | 0.925084i | \(-0.376006\pi\) |
−0.709338 | + | 0.704869i | \(0.751006\pi\) | |||||||
\(284\) | 1.80951 | − | 0.244100i | 0.107375 | − | 0.0144847i | ||||
\(285\) | 0.814650 | − | 4.09552i | 0.0482557 | − | 0.242598i | ||||
\(286\) | −12.9097 | − | 16.7689i | −0.763368 | − | 0.991564i | ||||
\(287\) | − | 13.7548i | − | 0.811921i | ||||||
\(288\) | 4.38278 | − | 2.57720i | 0.258258 | − | 0.151863i | ||||
\(289\) | 6.65002i | 0.391177i | ||||||||
\(290\) | 13.2882 | − | 10.2301i | 0.780310 | − | 0.600732i | ||||
\(291\) | 1.63036 | − | 8.19637i | 0.0955734 | − | 0.480480i | ||||
\(292\) | −20.6208 | − | 15.7186i | −1.20674 | − | 0.919864i | ||||
\(293\) | 9.61191 | + | 6.42248i | 0.561534 | + | 0.375205i | 0.803704 | − | 0.595029i | \(-0.202859\pi\) |
−0.242170 | + | 0.970234i | \(0.577859\pi\) | |||||||
\(294\) | 1.86991 | + | 3.77661i | 0.109055 | + | 0.220257i | ||||
\(295\) | −3.23984 | − | 7.82167i | −0.188631 | − | 0.455395i | ||||
\(296\) | 19.1447 | − | 12.9249i | 1.11276 | − | 0.751247i | ||||
\(297\) | −8.81689 | + | 21.2858i | −0.511608 | + | 1.23513i | ||||
\(298\) | −0.00430044 | − | 0.0640471i | −0.000249118 | − | 0.00371015i | ||||
\(299\) | 14.7989 | − | 2.94368i | 0.855842 | − | 0.170238i | ||||
\(300\) | 0.734617 | − | 11.7838i | 0.0424131 | − | 0.680336i | ||||
\(301\) | −8.26453 | + | 5.52218i | −0.476359 | + | 0.318293i | ||||
\(302\) | 24.9605 | + | 14.3579i | 1.43632 | + | 0.826207i | ||||
\(303\) | 21.3066 | + | 21.3066i | 1.22403 | + | 1.22403i | ||||
\(304\) | −5.95088 | + | 0.428174i | −0.341306 | + | 0.0245575i | ||||
\(305\) | −0.391295 | + | 0.391295i | −0.0224055 | + | 0.0224055i | ||||
\(306\) | 5.96829 | − | 1.60940i | 0.341184 | − | 0.0920034i | ||||
\(307\) | −17.9541 | − | 26.8702i | −1.02469 | − | 1.53356i | −0.833889 | − | 0.551933i | \(-0.813891\pi\) |
−0.190804 | − | 0.981628i | \(-0.561109\pi\) | |||||||
\(308\) | −8.44403 | − | 24.6171i | −0.481143 | − | 1.40269i | ||||
\(309\) | −1.64780 | − | 8.28404i | −0.0937400 | − | 0.471263i | ||||
\(310\) | −6.83347 | + | 7.81719i | −0.388115 | + | 0.443986i | ||||
\(311\) | 17.5995 | + | 7.28996i | 0.997978 | + | 0.413376i | 0.821055 | − | 0.570849i | \(-0.193386\pi\) |
0.176923 | + | 0.984225i | \(0.443386\pi\) | |||||||
\(312\) | −15.0493 | + | 0.0719876i | −0.852001 | + | 0.00407549i | ||||
\(313\) | 27.5944 | − | 11.4300i | 1.55973 | − | 0.646060i | 0.574685 | − | 0.818375i | \(-0.305125\pi\) |
0.985042 | + | 0.172315i | \(0.0551246\pi\) | |||||||
\(314\) | −19.7932 | − | 6.68371i | −1.11699 | − | 0.377183i | ||||
\(315\) | 1.65901 | − | 2.48288i | 0.0934744 | − | 0.139894i | ||||
\(316\) | 12.9726 | − | 7.54498i | 0.729764 | − | 0.424438i | ||||
\(317\) | 13.5672 | + | 2.69867i | 0.762007 | + | 0.151573i | 0.560772 | − | 0.827970i | \(-0.310504\pi\) |
0.201235 | + | 0.979543i | \(0.435504\pi\) | |||||||
\(318\) | 8.16263 | + | 1.06139i | 0.457738 | + | 0.0595200i | ||||
\(319\) | −46.4442 | −2.60037 | ||||||||
\(320\) | 11.1031 | − | 2.31918i | 0.620683 | − | 0.129646i | ||||
\(321\) | 13.0731 | 0.729669 | ||||||||
\(322\) | 18.4008 | + | 2.39267i | 1.02544 | + | 0.133338i | ||||
\(323\) | −7.11430 | − | 1.41512i | −0.395850 | − | 0.0787395i | ||||
\(324\) | 10.9486 | + | 18.8247i | 0.608258 | + | 1.04582i | ||||
\(325\) | −4.47591 | + | 6.69868i | −0.248279 | + | 0.371576i | ||||
\(326\) | −0.553024 | − | 0.186744i | −0.0306292 | − | 0.0103428i | ||||
\(327\) | 20.9539 | − | 8.67941i | 1.15876 | − | 0.479972i | ||||
\(328\) | −11.7959 | − | 11.6836i | −0.651322 | − | 0.645121i | ||||
\(329\) | 2.24601 | + | 0.930326i | 0.123826 | + | 0.0512905i | ||||
\(330\) | 14.4701 | − | 16.5532i | 0.796555 | − | 0.911224i | ||||
\(331\) | 1.95265 | + | 9.81665i | 0.107328 | + | 0.539572i | 0.996614 | + | 0.0822216i | \(0.0262015\pi\) |
−0.889287 | + | 0.457351i | \(0.848798\pi\) | |||||||
\(332\) | 2.93052 | − | 1.00521i | 0.160833 | − | 0.0551682i | ||||
\(333\) | −4.07805 | − | 6.10323i | −0.223476 | − | 0.334455i | ||||
\(334\) | −6.71796 | + | 1.81156i | −0.367590 | + | 0.0991239i | ||||
\(335\) | −1.71258 | + | 1.71258i | −0.0935683 | + | 0.0935683i | ||||
\(336\) | −17.5628 | − | 5.83711i | −0.958128 | − | 0.318440i | ||||
\(337\) | 19.8896 | + | 19.8896i | 1.08346 | + | 1.08346i | 0.996184 | + | 0.0872738i | \(0.0278155\pi\) |
0.0872738 | + | 0.996184i | \(0.472184\pi\) | |||||||
\(338\) | −7.03471 | − | 4.04655i | −0.382638 | − | 0.220103i | ||||
\(339\) | −11.6585 | + | 7.78997i | −0.633204 | + | 0.423093i | ||||
\(340\) | 13.7636 | + | 0.858042i | 0.746435 | + | 0.0465339i | ||||
\(341\) | 28.2028 | − | 5.60988i | 1.52727 | − | 0.303792i | ||||
\(342\) | 0.127015 | + | 1.89165i | 0.00686819 | + | 0.102289i | ||||
\(343\) | 7.63037 | − | 18.4213i | 0.412001 | − | 0.994659i | ||||
\(344\) | −2.28432 | + | 11.7782i | −0.123162 | + | 0.635038i | ||||
\(345\) | 5.99896 | + | 14.4828i | 0.322973 | + | 0.779727i | ||||
\(346\) | 1.95227 | + | 3.94296i | 0.104955 | + | 0.211975i | ||||
\(347\) | 20.0723 | + | 13.4119i | 1.07754 | + | 0.719988i | 0.961927 | − | 0.273306i | \(-0.0881171\pi\) |
0.115612 | + | 0.993294i | \(0.463117\pi\) | |||||||
\(348\) | −20.0226 | + | 26.2670i | −1.07332 | + | 1.40806i | ||||
\(349\) | −2.58414 | + | 12.9913i | −0.138326 | + | 0.695410i | 0.847920 | + | 0.530124i | \(0.177855\pi\) |
−0.986246 | + | 0.165286i | \(0.947145\pi\) | |||||||
\(350\) | −7.85055 | + | 6.04385i | −0.419629 | + | 0.323057i | ||||
\(351\) | − | 11.1801i | − | 0.596749i | ||||||
\(352\) | −28.2838 | − | 13.6688i | −1.50753 | − | 0.728550i | ||||
\(353\) | 6.93502i | 0.369114i | 0.982822 | + | 0.184557i | \(0.0590850\pi\) | ||||
−0.982822 | + | 0.184557i | \(0.940915\pi\) | |||||||
\(354\) | 10.1715 | + | 13.2121i | 0.540608 | + | 0.702213i | ||||
\(355\) | 0.252529 | − | 1.26955i | 0.0134029 | − | 0.0673808i | ||||
\(356\) | 2.78705 | + | 20.6604i | 0.147713 | + | 1.09500i | ||||
\(357\) | −18.7088 | − | 12.5009i | −0.990177 | − | 0.661615i | ||||
\(358\) | −4.81304 | + | 2.38308i | −0.254377 | + | 0.125950i | ||||
\(359\) | −5.35824 | − | 12.9359i | −0.282797 | − | 0.682732i | 0.717102 | − | 0.696969i | \(-0.245468\pi\) |
−0.999899 | + | 0.0142363i | \(0.995468\pi\) | |||||||
\(360\) | −0.720088 | − | 3.53175i | −0.0379520 | − | 0.186140i | ||||
\(361\) | −6.41960 | + | 15.4983i | −0.337874 | + | 0.815700i | ||||
\(362\) | −1.59032 | + | 0.106782i | −0.0835854 | + | 0.00561234i | ||||
\(363\) | −38.4180 | + | 7.64181i | −2.01642 | + | 0.401091i | ||||
\(364\) | 8.35697 | + | 9.46822i | 0.438024 | + | 0.496270i | ||||
\(365\) | −15.2835 | + | 10.2121i | −0.799976 | + | 0.534527i | ||||
\(366\) | 0.543425 | − | 0.944715i | 0.0284053 | − | 0.0493811i | ||||
\(367\) | 9.38352 | + | 9.38352i | 0.489816 | + | 0.489816i | 0.908248 | − | 0.418432i | \(-0.137420\pi\) |
−0.418432 | + | 0.908248i | \(0.637420\pi\) | |||||||
\(368\) | 17.6820 | − | 13.7479i | 0.921736 | − | 0.716659i | ||||
\(369\) | −3.73062 | + | 3.73062i | −0.194209 | + | 0.194209i | ||||
\(370\) | −4.26351 | − | 15.8108i | −0.221649 | − | 0.821962i | ||||
\(371\) | −3.83751 | − | 5.74324i | −0.199234 | − | 0.298174i | ||||
\(372\) | 8.98581 | − | 18.3689i | 0.465893 | − | 0.952381i | ||||
\(373\) | 1.64789 | + | 8.28453i | 0.0853248 | + | 0.428956i | 0.999709 | + | 0.0241098i | \(0.00767512\pi\) |
−0.914385 | + | 0.404847i | \(0.867325\pi\) | |||||||
\(374\) | −28.7544 | − | 25.1359i | −1.48686 | − | 1.29975i | ||||
\(375\) | −20.6652 | − | 8.55982i | −1.06715 | − | 0.442027i | ||||
\(376\) | 2.70564 | − | 1.13591i | 0.139533 | − | 0.0585798i | ||||
\(377\) | 20.8217 | − | 8.62463i | 1.07237 | − | 0.444191i | ||||
\(378\) | 4.39868 | − | 13.0263i | 0.226243 | − | 0.670000i | ||||
\(379\) | 2.04578 | − | 3.06172i | 0.105085 | − | 0.157270i | −0.775201 | − | 0.631715i | \(-0.782351\pi\) |
0.880285 | + | 0.474445i | \(0.157351\pi\) | |||||||
\(380\) | −1.08167 | + | 4.08896i | −0.0554885 | + | 0.209759i | ||||
\(381\) | 27.2082 | + | 5.41204i | 1.39392 | + | 0.277267i | ||||
\(382\) | 4.07031 | − | 31.3027i | 0.208255 | − | 1.60158i | ||||
\(383\) | 12.3567 | 0.631396 | 0.315698 | − | 0.948860i | \(-0.397761\pi\) | ||||
0.315698 | + | 0.948860i | \(0.397761\pi\) | |||||||
\(384\) | −19.9240 | + | 10.1034i | −1.01674 | + | 0.515589i | ||||
\(385\) | −18.4497 | −0.940285 | ||||||||
\(386\) | 0.384366 | − | 2.95596i | 0.0195637 | − | 0.150454i | ||||
\(387\) | 3.73927 | + | 0.743788i | 0.190078 | + | 0.0378089i | ||||
\(388\) | −2.16475 | + | 8.18324i | −0.109898 | + | 0.415441i | ||||
\(389\) | −2.74278 | + | 4.10486i | −0.139065 | + | 0.208125i | −0.894464 | − | 0.447140i | \(-0.852443\pi\) |
0.755400 | + | 0.655264i | \(0.227443\pi\) | |||||||
\(390\) | −3.41330 | + | 10.1082i | −0.172839 | + | 0.511847i | ||||
\(391\) | 25.1579 | − | 10.4207i | 1.27229 | − | 0.526999i | ||||
\(392\) | −1.65234 | − | 3.93575i | −0.0834559 | − | 0.198785i | ||||
\(393\) | −29.1088 | − | 12.0573i | −1.46835 | − | 0.608208i | ||||
\(394\) | 5.98242 | + | 5.22959i | 0.301390 | + | 0.263463i | ||||
\(395\) | −2.07554 | − | 10.4345i | −0.104432 | − | 0.525015i | ||||
\(396\) | −4.38652 | + | 8.96695i | −0.220431 | + | 0.450606i | ||||
\(397\) | 19.4770 | + | 29.1493i | 0.977521 | + | 1.46296i | 0.884078 | + | 0.467339i | \(0.154787\pi\) |
0.0934430 | + | 0.995625i | \(0.470213\pi\) | |||||||
\(398\) | 5.83348 | + | 21.6328i | 0.292406 | + | 1.08436i | ||||
\(399\) | 4.87991 | − | 4.87991i | 0.244301 | − | 0.244301i | ||||
\(400\) | −1.48530 | + | 11.8663i | −0.0742649 | + | 0.593315i | ||||
\(401\) | −23.0145 | − | 23.0145i | −1.14929 | − | 1.14929i | −0.986692 | − | 0.162599i | \(-0.948012\pi\) |
−0.162599 | − | 0.986692i | \(-0.551988\pi\) | |||||||
\(402\) | 2.37841 | − | 4.13474i | 0.118624 | − | 0.206222i | ||||
\(403\) | −11.6020 | + | 7.75223i | −0.577939 | + | 0.386166i | ||||
\(404\) | −20.1967 | − | 22.8823i | −1.00482 | − | 1.13844i | ||||
\(405\) | 15.1416 | − | 3.01185i | 0.752393 | − | 0.149660i | ||||
\(406\) | 27.6533 | − | 1.85678i | 1.37241 | − | 0.0921504i | ||||
\(407\) | −17.3554 | + | 41.8995i | −0.860273 | + | 2.07688i | ||||
\(408\) | −26.6122 | + | 5.42597i | −1.31750 | + | 0.268625i | ||||
\(409\) | 13.4728 | + | 32.5262i | 0.666187 | + | 1.60832i | 0.787936 | + | 0.615757i | \(0.211150\pi\) |
−0.121749 | + | 0.992561i | \(0.538850\pi\) | |||||||
\(410\) | −10.5479 | + | 5.22258i | −0.520925 | + | 0.257925i | ||||
\(411\) | −9.58768 | − | 6.40628i | −0.472925 | − | 0.315999i | ||||
\(412\) | 1.14373 | + | 8.47846i | 0.0563475 | + | 0.417704i | ||||
\(413\) | 2.72968 | − | 13.7230i | 0.134319 | − | 0.675266i | ||||
\(414\) | −4.34178 | − | 5.63967i | −0.213387 | − | 0.277175i | ||||
\(415\) | − | 2.19633i | − | 0.107814i | ||||||
\(416\) | 15.2184 | + | 0.875681i | 0.746144 | + | 0.0429338i | ||||
\(417\) | − | 2.01381i | − | 0.0986167i | ||||||
\(418\) | 9.28184 | − | 7.14574i | 0.453989 | − | 0.349510i | ||||
\(419\) | −3.73506 | + | 18.7774i | −0.182470 | + | 0.917337i | 0.775692 | + | 0.631111i | \(0.217401\pi\) |
−0.958162 | + | 0.286226i | \(0.907599\pi\) | |||||||
\(420\) | −7.95388 | + | 10.4344i | −0.388110 | + | 0.509148i | ||||
\(421\) | −15.5376 | − | 10.3819i | −0.757256 | − | 0.505982i | 0.115997 | − | 0.993250i | \(-0.462994\pi\) |
−0.873253 | + | 0.487267i | \(0.837994\pi\) | |||||||
\(422\) | −1.82092 | − | 3.67767i | −0.0886410 | − | 0.179026i | ||||
\(423\) | −0.356843 | − | 0.861495i | −0.0173503 | − | 0.0418873i | ||||
\(424\) | −8.18498 | − | 1.58743i | −0.397498 | − | 0.0770925i | ||||
\(425\) | −5.56399 | + | 13.4327i | −0.269893 | + | 0.651580i | ||||
\(426\) | 0.170791 | + | 2.54362i | 0.00827485 | + | 0.123239i | ||||
\(427\) | −0.896984 | + | 0.178421i | −0.0434081 | + | 0.00863440i | ||||
\(428\) | −13.2160 | − | 0.823906i | −0.638820 | − | 0.0398250i | ||||
\(429\) | 24.5678 | − | 16.4157i | 1.18614 | − | 0.792556i | ||||
\(430\) | 7.37267 | + | 4.24095i | 0.355542 | + | 0.204517i | ||||
\(431\) | −10.1766 | − | 10.1766i | −0.490192 | − | 0.490192i | 0.418175 | − | 0.908367i | \(-0.362670\pi\) |
−0.908367 | + | 0.418175i | \(0.862670\pi\) | |||||||
\(432\) | −7.43483 | − | 14.8370i | −0.357709 | − | 0.713847i | ||||
\(433\) | 7.09854 | − | 7.09854i | 0.341134 | − | 0.341134i | −0.515660 | − | 0.856794i | \(-0.672453\pi\) |
0.856794 | + | 0.515660i | \(0.172453\pi\) | |||||||
\(434\) | −16.5679 | + | 4.46769i | −0.795286 | + | 0.214456i | ||||
\(435\) | 13.0083 | + | 19.4683i | 0.623701 | + | 0.933435i | ||||
\(436\) | −21.7300 | + | 7.45372i | −1.04068 | + | 0.356968i | ||||
\(437\) | 1.62938 | + | 8.19142i | 0.0779436 | + | 0.391849i | ||||
\(438\) | 23.8260 | − | 27.2559i | 1.13845 | − | 1.30234i | ||||
\(439\) | 21.2594 | + | 8.80592i | 1.01465 | + | 0.420284i | 0.827151 | − | 0.561980i | \(-0.189960\pi\) |
0.187504 | + | 0.982264i | \(0.439960\pi\) | |||||||
\(440\) | −15.6716 | + | 15.8222i | −0.747113 | + | 0.754295i | ||||
\(441\) | −1.25317 | + | 0.519080i | −0.0596748 | + | 0.0247181i | ||||
\(442\) | 17.5588 | + | 5.92921i | 0.835187 | + | 0.282024i | ||||
\(443\) | −1.49883 | + | 2.24316i | −0.0712115 | + | 0.106576i | −0.865366 | − | 0.501140i | \(-0.832914\pi\) |
0.794155 | + | 0.607716i | \(0.207914\pi\) | |||||||
\(444\) | 16.2146 | + | 27.8789i | 0.769512 | + | 1.32307i | ||||
\(445\) | 14.4953 | + | 2.88329i | 0.687142 | + | 0.136681i | ||||
\(446\) | 2.58435 | + | 0.336045i | 0.122372 | + | 0.0159122i | ||||
\(447\) | 0.0896245 | 0.00423909 | ||||||||
\(448\) | 17.3869 | + | 7.00779i | 0.821455 | + | 0.331087i | ||||
\(449\) | 8.51822 | 0.402000 | 0.201000 | − | 0.979591i | \(-0.435581\pi\) | ||||
0.201000 | + | 0.979591i | \(0.435581\pi\) | |||||||
\(450\) | 3.76848 | + | 0.490018i | 0.177648 | + | 0.0230997i | ||||
\(451\) | 31.9706 | + | 6.35936i | 1.50544 | + | 0.299450i | ||||
\(452\) | 12.2769 | − | 7.14038i | 0.577458 | − | 0.335855i | ||||
\(453\) | −22.3364 | + | 33.4288i | −1.04946 | + | 1.57062i | ||||
\(454\) | 2.01792 | + | 0.681404i | 0.0947054 | + | 0.0319799i | ||||
\(455\) | 8.27132 | − | 3.42609i | 0.387766 | − | 0.160618i | ||||
\(456\) | −0.0398463 | − | 8.33005i | −0.00186597 | − | 0.390090i | ||||
\(457\) | −11.6115 | − | 4.80963i | −0.543162 | − | 0.224985i | 0.0941951 | − | 0.995554i | \(-0.469972\pi\) |
−0.637357 | + | 0.770569i | \(0.719972\pi\) | |||||||
\(458\) | −18.7896 | + | 21.4945i | −0.877981 | + | 1.00437i | ||||
\(459\) | −3.93627 | − | 19.7890i | −0.183729 | − | 0.923670i | ||||
\(460\) | −5.15180 | − | 15.0192i | −0.240204 | − | 0.700273i | ||||
\(461\) | −11.2805 | − | 16.8825i | −0.525388 | − | 0.786298i | 0.469956 | − | 0.882690i | \(-0.344270\pi\) |
−0.995343 | + | 0.0963919i | \(0.969270\pi\) | |||||||
\(462\) | 35.0832 | − | 9.46051i | 1.63222 | − | 0.440143i | ||||
\(463\) | 12.9581 | − | 12.9581i | 0.602214 | − | 0.602214i | −0.338686 | − | 0.940899i | \(-0.609982\pi\) |
0.940899 | + | 0.338686i | \(0.109982\pi\) | |||||||
\(464\) | 21.8969 | − | 25.2923i | 1.01654 | − | 1.17416i | ||||
\(465\) | −10.2507 | − | 10.2507i | −0.475366 | − | 0.475366i | ||||
\(466\) | −29.4248 | − | 16.9259i | −1.36308 | − | 0.784079i | ||||
\(467\) | 9.64631 | − | 6.44546i | 0.446378 | − | 0.298260i | −0.311992 | − | 0.950085i | \(-0.600996\pi\) |
0.758370 | + | 0.651824i | \(0.225996\pi\) | |||||||
\(468\) | 0.301396 | − | 4.83460i | 0.0139321 | − | 0.223480i | ||||
\(469\) | −3.92583 | + | 0.780897i | −0.181278 | + | 0.0360585i | ||||
\(470\) | −0.139366 | − | 2.07559i | −0.00642845 | − | 0.0957399i | ||||
\(471\) | 11.1623 | − | 26.9482i | 0.514331 | − | 1.24171i | ||||
\(472\) | −9.45003 | − | 13.9976i | −0.434973 | − | 0.644290i | ||||
\(473\) | −9.01434 | − | 21.7625i | −0.414480 | − | 1.00064i | ||||
\(474\) | 9.29727 | + | 18.7775i | 0.427038 | + | 0.862478i | ||||
\(475\) | −3.70783 | − | 2.47749i | −0.170127 | − | 0.113675i | ||||
\(476\) | 18.1255 | + | 13.8166i | 0.830783 | + | 0.633283i | ||||
\(477\) | −0.516878 | + | 2.59852i | −0.0236662 | + | 0.118978i | ||||
\(478\) | 10.4317 | − | 8.03102i | 0.477137 | − | 0.367330i | ||||
\(479\) | − | 12.0889i | − | 0.552355i | −0.961107 | − | 0.276178i | \(-0.910932\pi\) | ||
0.961107 | − | 0.276178i | \(-0.0890678\pi\) | |||||||
\(480\) | 2.19223 | + | 15.6844i | 0.100061 | + | 0.715890i | ||||
\(481\) | − | 22.0071i | − | 1.00344i | ||||||
\(482\) | −16.5791 | − | 21.5351i | −0.755158 | − | 0.980898i | ||||
\(483\) | −5.05433 | + | 25.4098i | −0.229980 | + | 1.15619i | ||||
\(484\) | 39.3196 | − | 5.30414i | 1.78725 | − | 0.241097i | ||||
\(485\) | 4.98950 | + | 3.33388i | 0.226562 | + | 0.151384i | ||||
\(486\) | −11.4737 | + | 5.68096i | −0.520457 | + | 0.257693i | ||||
\(487\) | −13.3448 | − | 32.2172i | −0.604711 | − | 1.45990i | −0.868682 | − | 0.495370i | \(-0.835032\pi\) |
0.263971 | − | 0.964531i | \(-0.414968\pi\) | |||||||
\(488\) | −0.608905 | + | 0.920796i | −0.0275638 | + | 0.0416825i | ||||
\(489\) | 0.311876 | − | 0.752935i | 0.0141035 | − | 0.0340489i | ||||
\(490\) | −3.01926 | + | 0.202728i | −0.136396 | + | 0.00915831i | ||||
\(491\) | −26.1410 | + | 5.19977i | −1.17973 | + | 0.234662i | −0.745727 | − | 0.666251i | \(-0.767898\pi\) |
−0.433999 | + | 0.900913i | \(0.642898\pi\) | |||||||
\(492\) | 17.3795 | − | 15.3397i | 0.783528 | − | 0.691569i | ||||
\(493\) | 33.8182 | − | 22.5966i | 1.52310 | − | 1.01770i | ||||
\(494\) | −2.83425 | + | 4.92719i | −0.127519 | + | 0.221685i | ||||
\(495\) | 5.00399 | + | 5.00399i | 0.224913 | + | 0.224913i | ||||
\(496\) | −10.2417 | + | 18.0034i | −0.459867 | + | 0.808375i | ||||
\(497\) | 1.51270 | − | 1.51270i | 0.0678539 | − | 0.0678539i | ||||
\(498\) | 1.12622 | + | 4.17645i | 0.0504670 | + | 0.187151i | ||||
\(499\) | 1.56309 | + | 2.33933i | 0.0699736 | + | 0.104723i | 0.864806 | − | 0.502106i | \(-0.167441\pi\) |
−0.794832 | + | 0.606829i | \(0.792441\pi\) | |||||||
\(500\) | 20.3517 | + | 9.95579i | 0.910156 | + | 0.445237i | ||||
\(501\) | −1.89525 | − | 9.52804i | −0.0846733 | − | 0.425682i | ||||
\(502\) | 17.1697 | + | 15.0090i | 0.766321 | + | 0.669887i | ||||
\(503\) | −36.9205 | − | 15.2930i | −1.64620 | − | 0.681880i | −0.649302 | − | 0.760531i | \(-0.724939\pi\) |
−0.996902 | + | 0.0786507i | \(0.974939\pi\) | |||||||
\(504\) | 2.25328 | − | 5.51437i | 0.100369 | − | 0.245630i | ||||
\(505\) | −19.9897 | + | 8.28001i | −0.889531 | + | 0.368456i | ||||
\(506\) | −14.0687 | + | 41.6632i | −0.625430 | + | 1.85216i | ||||
\(507\) | 6.29514 | − | 9.42135i | 0.279577 | − | 0.418417i | ||||
\(508\) | −27.1646 | − | 7.18595i | −1.20523 | − | 0.318825i | ||||
\(509\) | −3.51571 | − | 0.699318i | −0.155831 | − | 0.0309967i | 0.116558 | − | 0.993184i | \(-0.462814\pi\) |
−0.272389 | + | 0.962187i | \(0.587814\pi\) | |||||||
\(510\) | −2.48273 | + | 19.0934i | −0.109937 | + | 0.845470i | ||||
\(511\) | −30.3786 | −1.34387 | ||||||||
\(512\) | 20.7786 | − | 8.95823i | 0.918293 | − | 0.395901i | ||||
\(513\) | 6.18836 | 0.273223 | ||||||||
\(514\) | −2.44052 | + | 18.7688i | −0.107647 | + | 0.827855i | ||||
\(515\) | 5.94847 | + | 1.18322i | 0.262121 | + | 0.0521391i | ||||
\(516\) | −16.1942 | − | 4.28392i | −0.712910 | − | 0.188589i | ||||
\(517\) | −3.20079 | + | 4.79032i | −0.140771 | + | 0.210678i | ||||
\(518\) | 8.65845 | − | 25.6412i | 0.380431 | − | 1.12661i | ||||
\(519\) | −5.67543 | + | 2.35084i | −0.249124 | + | 0.103190i | ||||
\(520\) | 4.08766 | − | 10.0036i | 0.179256 | − | 0.438686i | ||||
\(521\) | −13.4480 | − | 5.57034i | −0.589168 | − | 0.244041i | 0.0681249 | − | 0.997677i | \(-0.478298\pi\) |
−0.657292 | + | 0.753636i | \(0.728298\pi\) | |||||||
\(522\) | −8.00381 | − | 6.99661i | −0.350317 | − | 0.306233i | ||||
\(523\) | −0.274054 | − | 1.37776i | −0.0119835 | − | 0.0602453i | 0.974331 | − | 0.225121i | \(-0.0722777\pi\) |
−0.986314 | + | 0.164876i | \(0.947278\pi\) | |||||||
\(524\) | 28.6672 | + | 14.0236i | 1.25233 | + | 0.612624i | ||||
\(525\) | −7.68519 | − | 11.5017i | −0.335409 | − | 0.501975i | ||||
\(526\) | 7.96354 | + | 29.5319i | 0.347227 | + | 1.28765i | ||||
\(527\) | −17.8064 | + | 17.8064i | −0.775660 | + | 0.775660i | ||||
\(528\) | 21.6872 | − | 38.1229i | 0.943816 | − | 1.65908i | ||||
\(529\) | −5.90683 | − | 5.90683i | −0.256819 | − | 0.256819i | ||||
\(530\) | −2.94715 | + | 5.12346i | −0.128016 | + | 0.222549i | ||||
\(531\) | −4.46235 | + | 2.98165i | −0.193650 | + | 0.129392i | ||||
\(532\) | −5.24081 | + | 4.62572i | −0.227218 | + | 0.200550i | ||||
\(533\) | −15.5139 | + | 3.08591i | −0.671982 | + | 0.133665i | ||||
\(534\) | −29.0421 | + | 1.95003i | −1.25677 | + | 0.0843860i | ||||
\(535\) | −3.59237 | + | 8.67274i | −0.155312 | + | 0.374955i | ||||
\(536\) | −2.66500 | + | 4.03005i | −0.115110 | + | 0.174072i | ||||
\(537\) | −2.86960 | − | 6.92782i | −0.123832 | − | 0.298958i | ||||
\(538\) | −23.7120 | + | 11.7405i | −1.02229 | + | 0.506168i | ||||
\(539\) | 6.96822 | + | 4.65602i | 0.300143 | + | 0.200549i | ||||
\(540\) | −11.6594 | + | 1.57283i | −0.501740 | + | 0.0676837i | ||||
\(541\) | −8.09775 | + | 40.7102i | −0.348150 | + | 1.75027i | 0.268736 | + | 0.963214i | \(0.413394\pi\) |
−0.616886 | + | 0.787053i | \(0.711606\pi\) | |||||||
\(542\) | 8.19493 | + | 10.6447i | 0.352002 | + | 0.457227i | ||||
\(543\) | − | 2.22542i | − | 0.0955018i | ||||||
\(544\) | 27.2452 | − | 3.80810i | 1.16813 | − | 0.163271i | ||||
\(545\) | 16.2860i | 0.697614i | ||||||||
\(546\) | −13.9716 | + | 10.7562i | −0.597929 | + | 0.460324i | ||||
\(547\) | −8.11081 | + | 40.7758i | −0.346793 | + | 1.74345i | 0.276090 | + | 0.961132i | \(0.410961\pi\) |
−0.622883 | + | 0.782315i | \(0.714039\pi\) | |||||||
\(548\) | 9.28876 | + | 7.08057i | 0.396796 | + | 0.302467i | ||||
\(549\) | 0.291675 | + | 0.194891i | 0.0124484 | + | 0.00831773i | ||||
\(550\) | −10.4183 | − | 21.0415i | −0.444236 | − | 0.897213i | ||||
\(551\) | 4.77387 | + | 11.5251i | 0.203374 | + | 0.490988i | ||||
\(552\) | 17.4979 | + | 25.9182i | 0.744759 | + | 1.10315i | ||||
\(553\) | 6.72864 | − | 16.2444i | 0.286131 | − | 0.690781i | ||||
\(554\) | −0.749534 | − | 11.1629i | −0.0318446 | − | 0.474267i | ||||
\(555\) | 22.4243 | − | 4.46047i | 0.951859 | − | 0.189337i | ||||
\(556\) | −0.126917 | + | 2.03583i | −0.00538246 | + | 0.0863383i | ||||
\(557\) | −0.577961 | + | 0.386181i | −0.0244890 | + | 0.0163630i | −0.567754 | − | 0.823198i | \(-0.692188\pi\) |
0.543265 | + | 0.839561i | \(0.317188\pi\) | |||||||
\(558\) | 5.70534 | + | 3.28186i | 0.241526 | + | 0.138932i | ||||
\(559\) | 8.08256 | + | 8.08256i | 0.341856 | + | 0.341856i | ||||
\(560\) | 8.69845 | − | 10.0472i | 0.367577 | − | 0.424573i | ||||
\(561\) | 37.7058 | − | 37.7058i | 1.59194 | − | 1.59194i | ||||
\(562\) | −4.57229 | + | 1.23296i | −0.192870 | + | 0.0520092i | ||||
\(563\) | −1.19920 | − | 1.79474i | −0.0505404 | − | 0.0756391i | 0.805339 | − | 0.592815i | \(-0.201983\pi\) |
−0.855879 | + | 0.517176i | \(0.826983\pi\) | |||||||
\(564\) | 1.32932 | + | 3.87540i | 0.0559744 | + | 0.163184i | ||||
\(565\) | −1.96424 | − | 9.87492i | −0.0826364 | − | 0.415441i | ||||
\(566\) | −6.20640 | + | 7.09984i | −0.260874 | + | 0.298429i | ||||
\(567\) | 23.5725 | + | 9.76404i | 0.989951 | + | 0.410051i | ||||
\(568\) | −0.0123518 | − | 2.58219i | −0.000518268 | − | 0.108346i | ||||
\(569\) | −17.7585 | + | 7.35583i | −0.744477 | + | 0.308372i | −0.722486 | − | 0.691386i | \(-0.757001\pi\) |
−0.0219910 | + | 0.999758i | \(0.507001\pi\) | |||||||
\(570\) | −5.59504 | − | 1.88932i | −0.234350 | − | 0.0791347i | ||||
\(571\) | 15.2733 | − | 22.8580i | 0.639166 | − | 0.956579i | −0.360550 | − | 0.932740i | \(-0.617411\pi\) |
0.999716 | − | 0.0238392i | \(-0.00758897\pi\) | |||||||
\(572\) | −25.8709 | + | 15.0468i | −1.08172 | + | 0.629138i | ||||
\(573\) | 43.2261 | + | 8.59821i | 1.80580 | + | 0.359195i | ||||
\(574\) | −19.2899 | − | 2.50827i | −0.805143 | − | 0.104693i | ||||
\(575\) | 16.7407 | 0.698136 | ||||||||
\(576\) | −2.81506 | − | 6.61641i | −0.117294 | − | 0.275684i | ||||
\(577\) | −33.2616 | −1.38470 | −0.692350 | − | 0.721562i | \(-0.743425\pi\) | ||||
−0.692350 | + | 0.721562i | \(0.743425\pi\) | |||||||
\(578\) | 9.32603 | + | 1.21267i | 0.387912 | + | 0.0504404i | ||||
\(579\) | 4.08191 | + | 0.811943i | 0.169638 | + | 0.0337432i | ||||
\(580\) | −11.9236 | − | 20.5010i | −0.495100 | − | 0.851258i | ||||
\(581\) | 2.01664 | − | 3.01811i | 0.0836643 | − | 0.125213i | ||||
\(582\) | −11.1973 | − | 3.78109i | −0.464145 | − | 0.156731i | ||||
\(583\) | 15.1234 | − | 6.26430i | 0.626346 | − | 0.259441i | ||||
\(584\) | −25.8043 | + | 26.0523i | −1.06779 | + | 1.07805i | ||||
\(585\) | −3.17261 | − | 1.31414i | −0.131171 | − | 0.0543329i | ||||
\(586\) | 10.7597 | − | 12.3086i | 0.444480 | − | 0.508465i | ||||
\(587\) | 7.71743 | + | 38.7981i | 0.318532 | + | 1.60137i | 0.725697 | + | 0.688015i | \(0.241518\pi\) |
−0.407164 | + | 0.913355i | \(0.633482\pi\) | |||||||
\(588\) | 5.63734 | − | 1.93369i | 0.232480 | − | 0.0797440i | ||||
\(589\) | −4.29099 | − | 6.42191i | −0.176807 | − | 0.264610i | ||||
\(590\) | −11.5600 | + | 3.11725i | −0.475916 | + | 0.128335i | ||||
\(591\) | −7.84478 | + | 7.84478i | −0.322691 | + | 0.322691i | ||||
\(592\) | −14.6349 | − | 29.2056i | −0.601490 | − | 1.20034i | ||||
\(593\) | −18.9653 | − | 18.9653i | −0.778811 | − | 0.778811i | 0.200817 | − | 0.979629i | \(-0.435640\pi\) |
−0.979629 | + | 0.200817i | \(0.935640\pi\) | |||||||
\(594\) | 28.2436 | + | 16.2465i | 1.15885 | + | 0.666601i | ||||
\(595\) | 13.4341 | − | 8.97640i | 0.550746 | − | 0.367997i | ||||
\(596\) | −0.0906044 | − | 0.00564841i | −0.00371130 | − | 0.000231368i | ||||
\(597\) | −30.6817 | + | 6.10297i | −1.25572 | + | 0.249778i | ||||
\(598\) | −1.42957 | − | 21.2909i | −0.0584596 | − | 0.870648i | ||||
\(599\) | 7.92904 | − | 19.1424i | 0.323972 | − | 0.782137i | −0.675044 | − | 0.737777i | \(-0.735875\pi\) |
0.999016 | − | 0.0443592i | \(-0.0141246\pi\) | |||||||
\(600\) | −16.3917 | − | 3.17907i | −0.669187 | − | 0.129785i | ||||
\(601\) | 9.15574 | + | 22.1039i | 0.373471 | + | 0.901638i | 0.993157 | + | 0.116788i | \(0.0372598\pi\) |
−0.619686 | + | 0.784850i | \(0.712740\pi\) | |||||||
\(602\) | 6.23726 | + | 12.5972i | 0.254212 | + | 0.513425i | ||||
\(603\) | 1.27657 | + | 0.852979i | 0.0519861 | + | 0.0347360i | ||||
\(604\) | 24.6874 | − | 32.3866i | 1.00452 | − | 1.31779i | ||||
\(605\) | 5.48730 | − | 27.5865i | 0.223091 | − | 1.12155i | ||||
\(606\) | 33.7659 | − | 25.9951i | 1.37165 | − | 1.05598i | ||||
\(607\) | 47.2885i | 1.91938i | 0.281061 | + | 0.959690i | \(0.409314\pi\) | ||||
−0.281061 | + | 0.959690i | \(0.590686\pi\) | |||||||
\(608\) | −0.484703 | + | 8.42363i | −0.0196573 | + | 0.341623i | ||||
\(609\) | 38.6967i | 1.56807i | ||||||||
\(610\) | 0.477400 | + | 0.620110i | 0.0193293 | + | 0.0251075i | ||||
\(611\) | 0.545411 | − | 2.74196i | 0.0220649 | − | 0.110928i | ||||
\(612\) | −1.16868 | − | 8.66345i | −0.0472412 | − | 0.350199i | ||||
\(613\) | 26.9337 | + | 17.9965i | 1.08784 | + | 0.726873i | 0.964126 | − | 0.265444i | \(-0.0855186\pi\) |
0.123717 | + | 0.992318i | \(0.460519\pi\) | |||||||
\(614\) | −40.9569 | + | 20.2790i | −1.65289 | + | 0.818393i | ||||
\(615\) | −6.28881 | − | 15.1825i | −0.253589 | − | 0.612218i | ||||
\(616\) | −36.0630 | + | 7.35289i | −1.45302 | + | 0.296256i | ||||
\(617\) | −2.14483 | + | 5.17808i | −0.0863476 | + | 0.208462i | −0.961155 | − | 0.276009i | \(-0.910988\pi\) |
0.874807 | + | 0.484471i | \(0.160988\pi\) | |||||||
\(618\) | −11.9181 | + | 0.800240i | −0.479416 | + | 0.0321904i | ||||
\(619\) | −42.0718 | + | 8.36860i | −1.69101 | + | 0.336363i | −0.944374 | − | 0.328872i | \(-0.893331\pi\) |
−0.746634 | + | 0.665235i | \(0.768331\pi\) | |||||||
\(620\) | 9.71676 | + | 11.0088i | 0.390234 | + | 0.442125i | ||||
\(621\) | −19.3163 | + | 12.9067i | −0.775135 | + | 0.517928i | ||||
\(622\) | 13.4329 | − | 23.3523i | 0.538609 | − | 0.936344i | ||||
\(623\) | 17.2715 | + | 17.2715i | 0.691966 | + | 0.691966i | ||||
\(624\) | −2.64338 | + | 21.1184i | −0.105820 | + | 0.845414i | ||||
\(625\) | 0.786975 | − | 0.786975i | 0.0314790 | − | 0.0314790i | ||||
\(626\) | −10.9975 | − | 40.7829i | −0.439547 | − | 1.63001i | ||||
\(627\) | 9.08633 | + | 13.5987i | 0.362873 | + | 0.543078i | ||||
\(628\) | −12.9827 | + | 26.5393i | −0.518066 | + | 1.05903i | ||||
\(629\) | −7.74824 | − | 38.9530i | −0.308943 | − | 1.55316i | ||||
\(630\) | −3.17948 | − | 2.77937i | −0.126673 | − | 0.110733i | ||||
\(631\) | 20.3573 | + | 8.43229i | 0.810413 | + | 0.335684i | 0.749119 | − | 0.662436i | \(-0.230477\pi\) |
0.0612942 | + | 0.998120i | \(0.480477\pi\) | |||||||
\(632\) | −8.21551 | − | 19.5687i | −0.326795 | − | 0.778401i | ||||
\(633\) | 5.29358 | − | 2.19267i | 0.210401 | − | 0.0871509i | ||||
\(634\) | 6.25869 | − | 18.5346i | 0.248564 | − | 0.736101i | ||||
\(635\) | −11.0669 | + | 16.5628i | −0.439178 | + | 0.657276i | ||||
\(636\) | 2.97701 | − | 11.2538i | 0.118046 | − | 0.446242i | ||||
\(637\) | −3.98859 | − | 0.793380i | −0.158034 | − | 0.0314349i | ||||
\(638\) | −8.46937 | + | 65.1336i | −0.335306 | + | 2.57867i | ||||
\(639\) | −0.820558 | −0.0324608 | ||||||||
\(640\) | −1.22772 | − | 15.9940i | −0.0485300 | − | 0.632219i | ||||
\(641\) | 24.2418 | 0.957494 | 0.478747 | − | 0.877953i | \(-0.341091\pi\) | ||||
0.478747 | + | 0.877953i | \(0.341091\pi\) | |||||||
\(642\) | 2.38396 | − | 18.3338i | 0.0940873 | − | 0.723577i | ||||
\(643\) | −9.42785 | − | 1.87532i | −0.371798 | − | 0.0739552i | 0.00565492 | − | 0.999984i | \(-0.498200\pi\) |
−0.377453 | + | 0.926029i | \(0.623200\pi\) | |||||||
\(644\) | 6.71100 | − | 25.3691i | 0.264450 | − | 0.999683i | ||||
\(645\) | −6.59758 | + | 9.87397i | −0.259779 | + | 0.388787i | ||||
\(646\) | −3.28191 | + | 9.71908i | −0.129125 | + | 0.382392i | ||||
\(647\) | 31.3004 | − | 12.9650i | 1.23055 | − | 0.509709i | 0.329798 | − | 0.944052i | \(-0.393019\pi\) |
0.900748 | + | 0.434343i | \(0.143019\pi\) | |||||||
\(648\) | 28.3965 | − | 11.9217i | 1.11552 | − | 0.468327i | ||||
\(649\) | 30.6347 | + | 12.6893i | 1.20252 | + | 0.498099i | ||||
\(650\) | 8.57807 | + | 7.49860i | 0.336459 | + | 0.294119i | ||||
\(651\) | −4.67408 | − | 23.4982i | −0.183192 | − | 0.920967i | ||||
\(652\) | −0.362738 | + | 0.741511i | −0.0142059 | + | 0.0290398i | ||||
\(653\) | −9.43917 | − | 14.1267i | −0.369383 | − | 0.552821i | 0.599489 | − | 0.800383i | \(-0.295371\pi\) |
−0.968872 | + | 0.247562i | \(0.920371\pi\) | |||||||
\(654\) | −8.35099 | − | 30.9687i | −0.326549 | − | 1.21097i | ||||
\(655\) | 15.9977 | − | 15.9977i | 0.625081 | − | 0.625081i | ||||
\(656\) | −18.5363 | + | 14.4121i | −0.723720 | + | 0.562699i | ||||
\(657\) | 8.23939 | + | 8.23939i | 0.321449 | + | 0.321449i | ||||
\(658\) | 1.71427 | − | 2.98016i | 0.0668291 | − | 0.116179i | ||||
\(659\) | 15.6666 | − | 10.4681i | 0.610286 | − | 0.407780i | −0.211662 | − | 0.977343i | \(-0.567888\pi\) |
0.821948 | + | 0.569563i | \(0.192888\pi\) | |||||||
\(660\) | −20.5756 | − | 23.3116i | −0.800905 | − | 0.907403i | ||||
\(661\) | 8.02511 | − | 1.59629i | 0.312140 | − | 0.0620886i | −0.0365342 | − | 0.999332i | \(-0.511632\pi\) |
0.348675 | + | 0.937244i | \(0.386632\pi\) | |||||||
\(662\) | 14.1230 | − | 0.948290i | 0.548907 | − | 0.0368563i | ||||
\(663\) | −9.90222 | + | 23.9061i | −0.384570 | + | 0.928435i | ||||
\(664\) | −0.875318 | − | 4.29309i | −0.0339689 | − | 0.166604i | ||||
\(665\) | 1.89640 | + | 4.57831i | 0.0735392 | + | 0.177539i | ||||
\(666\) | −9.30287 | + | 4.60612i | −0.360479 | + | 0.178484i | ||||
\(667\) | −38.9384 | − | 26.0178i | −1.50770 | − | 1.00741i | ||||
\(668\) | 1.31548 | + | 9.75166i | 0.0508974 | + | 0.377303i | ||||
\(669\) | −0.709869 | + | 3.56875i | −0.0274451 | + | 0.137976i | ||||
\(670\) | 2.08944 | + | 2.71404i | 0.0807220 | + | 0.104852i | ||||
\(671\) | − | 2.16737i | − | 0.0836704i | ||||||
\(672\) | −11.3887 | + | 23.5657i | −0.439328 | + | 0.909068i | ||||
\(673\) | − | 15.1387i | − | 0.583554i | −0.956486 | − | 0.291777i | \(-0.905753\pi\) | ||
0.956486 | − | 0.291777i | \(-0.0942465\pi\) | |||||||
\(674\) | 31.5204 | − | 24.2664i | 1.21412 | − | 0.934706i | ||||
\(675\) | 2.41991 | − | 12.1657i | 0.0931425 | − | 0.468259i | ||||
\(676\) | −6.95773 | + | 9.12761i | −0.267605 | + | 0.351062i | ||||
\(677\) | −17.6776 | − | 11.8118i | −0.679406 | − | 0.453964i | 0.167384 | − | 0.985892i | \(-0.446468\pi\) |
−0.846790 | + | 0.531927i | \(0.821468\pi\) | |||||||
\(678\) | 8.79871 | + | 17.7705i | 0.337912 | + | 0.682473i | ||||
\(679\) | 3.79526 | + | 9.16258i | 0.145649 | + | 0.351627i | ||||
\(680\) | 3.71320 | − | 19.1457i | 0.142395 | − | 0.734203i | ||||
\(681\) | −1.13800 | + | 2.74736i | −0.0436081 | + | 0.105279i | ||||
\(682\) | −2.72439 | − | 40.5748i | −0.104322 | − | 1.55369i | ||||
\(683\) | 3.48191 | − | 0.692594i | 0.133231 | − | 0.0265014i | −0.128024 | − | 0.991771i | \(-0.540863\pi\) |
0.261256 | + | 0.965270i | \(0.415863\pi\) | |||||||
\(684\) | 2.67603 | + | 0.166828i | 0.102321 | + | 0.00637882i | ||||
\(685\) | 6.88456 | − | 4.60012i | 0.263046 | − | 0.175761i | ||||
\(686\) | −24.4428 | − | 14.0601i | −0.933230 | − | 0.536818i | ||||
\(687\) | −28.1858 | − | 28.1858i | −1.07536 | − | 1.07536i | ||||
\(688\) | 16.1013 | + | 5.35137i | 0.613856 | + | 0.204019i | ||||
\(689\) | −5.61679 | + | 5.61679i | −0.213982 | + | 0.213982i | ||||
\(690\) | 21.4047 | − | 5.77197i | 0.814863 | − | 0.219735i | ||||
\(691\) | 2.86419 | + | 4.28656i | 0.108959 | + | 0.163069i | 0.881942 | − | 0.471358i | \(-0.156236\pi\) |
−0.772983 | + | 0.634427i | \(0.781236\pi\) | |||||||
\(692\) | 5.88564 | − | 2.01886i | 0.223738 | − | 0.0767455i | ||||
\(693\) | 2.28170 | + | 11.4709i | 0.0866747 | + | 0.435743i | ||||
\(694\) | 22.4693 | − | 25.7038i | 0.852921 | − | 0.975704i | ||||
\(695\) | 1.33597 | + | 0.553377i | 0.0506762 | + | 0.0209908i | ||||
\(696\) | 33.1858 | + | 32.8698i | 1.25790 | + | 1.24593i | ||||
\(697\) | −26.3734 | + | 10.9242i | −0.998964 | + | 0.413784i | ||||
\(698\) | 17.7479 | + | 5.99306i | 0.671768 | + | 0.226841i | ||||
\(699\) | 26.3314 | − | 39.4077i | 0.995944 | − | 1.49054i | ||||
\(700\) | 7.04434 | + | 12.1118i | 0.266251 | + | 0.457783i | ||||
\(701\) | −24.9906 | − | 4.97093i | −0.943881 | − | 0.187750i | −0.300920 | − | 0.953649i | \(-0.597294\pi\) |
−0.642960 | + | 0.765900i | \(0.722294\pi\) | |||||||
\(702\) | −15.6790 | − | 2.03876i | −0.591767 | − | 0.0769479i | ||||
\(703\) | 12.1813 | 0.459427 | ||||||||
\(704\) | −24.3270 | + | 37.1729i | −0.916857 | + | 1.40101i | ||||
\(705\) | 2.90449 | 0.109389 | ||||||||
\(706\) | 9.72572 | + | 1.26464i | 0.366032 | + | 0.0475955i | ||||
\(707\) | −35.0717 | − | 6.97620i | −1.31901 | − | 0.262367i | ||||
\(708\) | 20.3835 | − | 11.8553i | 0.766060 | − | 0.445548i | ||||
\(709\) | 27.8695 | − | 41.7097i | 1.04666 | − | 1.56644i | 0.244213 | − | 0.969722i | \(-0.421470\pi\) |
0.802450 | − | 0.596720i | \(-0.203530\pi\) | |||||||
\(710\) | −1.73438 | − | 0.585659i | −0.0650900 | − | 0.0219794i | ||||
\(711\) | −6.23081 | + | 2.58089i | −0.233674 | + | 0.0967908i | ||||
\(712\) | 29.4825 | − | 0.141028i | 1.10490 | − | 0.00528524i | ||||
\(713\) | 26.7876 | + | 11.0958i | 1.00320 | + | 0.415541i | ||||
\(714\) | −20.9430 | + | 23.9578i | −0.783770 | + | 0.896599i | ||||
\(715\) | 4.13921 | + | 20.8092i | 0.154798 | + | 0.778221i | ||||
\(716\) | 2.46436 | + | 7.18442i | 0.0920974 | + | 0.268494i | ||||
\(717\) | 10.2120 | + | 15.2834i | 0.381375 | + | 0.570768i | ||||
\(718\) | −19.1185 | + | 5.15549i | −0.713498 | + | 0.192401i | ||||
\(719\) | −17.1962 | + | 17.1962i | −0.641311 | + | 0.641311i | −0.950878 | − | 0.309567i | \(-0.899816\pi\) |
0.309567 | + | 0.950878i | \(0.399816\pi\) | |||||||
\(720\) | −5.08426 | + | 0.365820i | −0.189479 | + | 0.0136333i | ||||
\(721\) | 7.08774 | + | 7.08774i | 0.263961 | + | 0.263961i | ||||
\(722\) | 20.5643 | + | 11.8291i | 0.765323 | + | 0.440234i | ||||
\(723\) | 31.5508 | − | 21.0815i | 1.17339 | − | 0.784031i | ||||
\(724\) | −0.140253 | + | 2.24975i | −0.00521245 | + | 0.0836113i | ||||
\(725\) | 24.5241 | − | 4.87815i | 0.910804 | − | 0.181170i | ||||
\(726\) | 3.71118 | + | 55.2712i | 0.137735 | + | 2.05130i | ||||
\(727\) | −7.53130 | + | 18.1822i | −0.279320 | + | 0.674339i | −0.999817 | − | 0.0191193i | \(-0.993914\pi\) |
0.720497 | + | 0.693458i | \(0.243914\pi\) | |||||||
\(728\) | 14.8022 | − | 9.99329i | 0.548608 | − | 0.370376i | ||||
\(729\) | 5.65985 | + | 13.6641i | 0.209624 | + | 0.506077i | ||||
\(730\) | 11.5345 | + | 23.2960i | 0.426911 | + | 0.862222i | ||||
\(731\) | 17.1520 | + | 11.4606i | 0.634389 | + | 0.423885i | ||||
\(732\) | −1.22578 | − | 0.934378i | −0.0453061 | − | 0.0345356i | ||||
\(733\) | −2.30717 | + | 11.5989i | −0.0852174 | + | 0.428417i | 0.914499 | + | 0.404589i | \(0.132585\pi\) |
−0.999716 | + | 0.0238279i | \(0.992415\pi\) | |||||||
\(734\) | 14.8707 | − | 11.4484i | 0.548886 | − | 0.422567i | ||||
\(735\) | − | 4.22500i | − | 0.155842i | ||||||
\(736\) | −16.0557 | − | 27.3043i | −0.591823 | − | 1.00645i | ||||
\(737\) | − | 9.48594i | − | 0.349419i | ||||||
\(738\) | 4.55155 | + | 5.91216i | 0.167545 | + | 0.217629i | ||||
\(739\) | 3.47244 | − | 17.4572i | 0.127736 | − | 0.642172i | −0.862870 | − | 0.505426i | \(-0.831336\pi\) |
0.990606 | − | 0.136746i | \(-0.0436645\pi\) | |||||||
\(740\) | −22.9506 | + | 3.09599i | −0.843680 | + | 0.113811i | ||||
\(741\) | −6.59881 | − | 4.40919i | −0.242413 | − | 0.161976i | ||||
\(742\) | −8.75415 | + | 4.33444i | −0.321375 | + | 0.159122i | ||||
\(743\) | 16.7416 | + | 40.4177i | 0.614188 | + | 1.48278i | 0.858359 | + | 0.513049i | \(0.171484\pi\) |
−0.244171 | + | 0.969732i | \(0.578516\pi\) | |||||||
\(744\) | −24.1220 | − | 15.9514i | −0.884356 | − | 0.584808i | ||||
\(745\) | −0.0246280 | + | 0.0594573i | −0.000902300 | + | 0.00217835i | ||||
\(746\) | 11.9188 | − | 0.800286i | 0.436378 | − | 0.0293006i | ||||
\(747\) | −1.36554 | + | 0.271623i | −0.0499626 | + | 0.00993817i | ||||
\(748\) | −40.4944 | + | 35.7417i | −1.48062 | + | 1.30685i | ||||
\(749\) | −12.8997 | + | 8.61929i | −0.471344 | + | 0.314942i | ||||
\(750\) | −15.7728 | + | 27.4201i | −0.575941 | + | 1.00124i | ||||
\(751\) | −33.9816 | − | 33.9816i | −1.24001 | − | 1.24001i | −0.959998 | − | 0.280008i | \(-0.909663\pi\) |
−0.280008 | − | 0.959998i | \(-0.590337\pi\) | |||||||
\(752\) | −1.09961 | − | 4.00155i | −0.0400987 | − | 0.145921i | ||||
\(753\) | −22.5147 | + | 22.5147i | −0.820481 | + | 0.820481i | ||||
\(754\) | −8.29828 | − | 30.7733i | −0.302206 | − | 1.12070i | ||||
\(755\) | −16.0390 | − | 24.0040i | −0.583717 | − | 0.873595i | ||||
\(756\) | −17.4660 | − | 8.54416i | −0.635233 | − | 0.310748i | ||||
\(757\) | 7.87408 | + | 39.5857i | 0.286188 | + | 1.43877i | 0.809749 | + | 0.586777i | \(0.199604\pi\) |
−0.523560 | + | 0.851989i | \(0.675396\pi\) | |||||||
\(758\) | −3.92072 | − | 3.42734i | −0.142407 | − | 0.124487i | ||||
\(759\) | −56.7239 | − | 23.4958i | −2.05895 | − | 0.852844i | ||||
\(760\) | 5.53714 | + | 2.26259i | 0.200853 | + | 0.0820727i | ||||
\(761\) | 40.6579 | − | 16.8410i | 1.47385 | − | 0.610488i | 0.506114 | − | 0.862466i | \(-0.331081\pi\) |
0.967733 | + | 0.251979i | \(0.0810813\pi\) | |||||||
\(762\) | 12.5515 | − | 37.1700i | 0.454691 | − | 1.34653i | ||||
\(763\) | −14.9535 | + | 22.3795i | −0.541354 | + | 0.810194i | ||||
\(764\) | −43.1568 | − | 11.4165i | −1.56136 | − | 0.413033i | ||||
\(765\) | −6.07826 | − | 1.20904i | −0.219760 | − | 0.0437129i | ||||
\(766\) | 2.25331 | − | 17.3291i | 0.0814155 | − | 0.626125i | ||||
\(767\) | −16.0904 | −0.580992 | ||||||||
\(768\) | 10.5359 | + | 29.7840i | 0.380180 | + | 1.07474i | ||||
\(769\) | 9.57488 | 0.345279 | 0.172639 | − | 0.984985i | \(-0.444770\pi\) | ||||
0.172639 | + | 0.984985i | \(0.444770\pi\) | |||||||
\(770\) | −3.36442 | + | 25.8740i | −0.121245 | + | 0.932435i | ||||
\(771\) | −25.9180 | − | 5.15540i | −0.933413 | − | 0.185667i | ||||
\(772\) | −4.07537 | − | 1.07807i | −0.146676 | − | 0.0388007i | ||||
\(773\) | −8.88263 | + | 13.2938i | −0.319486 | + | 0.478145i | −0.956101 | − | 0.293037i | \(-0.905334\pi\) |
0.636615 | + | 0.771182i | \(0.280334\pi\) | |||||||
\(774\) | 1.72497 | − | 5.10835i | 0.0620029 | − | 0.183616i | ||||
\(775\) | −14.3028 | + | 5.92443i | −0.513773 | + | 0.212812i | ||||
\(776\) | 11.0815 | + | 4.52812i | 0.397802 | + | 0.162550i | ||||
\(777\) | 34.9102 | + | 14.4603i | 1.25240 | + | 0.518759i | ||||
\(778\) | 5.25653 | + | 4.59504i | 0.188456 | + | 0.164740i | ||||
\(779\) | −1.70810 | − | 8.58720i | −0.0611990 | − | 0.307668i | ||||
\(780\) | 13.5533 | + | 6.63012i | 0.485287 | + | 0.237396i | ||||
\(781\) | 2.81663 | + | 4.21538i | 0.100787 | + | 0.150838i | ||||
\(782\) | −10.0264 | − | 37.1819i | −0.358544 | − | 1.32962i | ||||
\(783\) | −24.5362 | + | 24.5362i | −0.876852 | + | 0.876852i | ||||
\(784\) | −5.82084 | + | 1.59955i | −0.207887 | + | 0.0571267i | ||||
\(785\) | 14.8102 | + | 14.8102i | 0.528599 | + | 0.528599i | ||||
\(786\) | −22.2174 | + | 38.6237i | −0.792467 | + | 1.37766i | ||||
\(787\) | −12.1334 | + | 8.10728i | −0.432509 | + | 0.288993i | −0.752705 | − | 0.658358i | \(-0.771251\pi\) |
0.320196 | + | 0.947351i | \(0.396251\pi\) | |||||||
\(788\) | 8.42495 | − | 7.43614i | 0.300126 | − | 0.264902i | ||||
\(789\) | −41.8849 | + | 8.33143i | −1.49114 | + | 0.296607i | ||||
\(790\) | −15.0119 | + | 1.00797i | −0.534098 | + | 0.0358620i | ||||
\(791\) | 6.36782 | − | 15.3733i | 0.226414 | − | 0.546611i | ||||
\(792\) | 11.7754 | + | 7.78686i | 0.418421 | + | 0.276694i | ||||
\(793\) | 0.402478 | + | 0.971669i | 0.0142924 | + | 0.0345050i | ||||
\(794\) | 44.4310 | − | 21.9991i | 1.57680 | − | 0.780718i | ||||
\(795\) | −6.86168 | − | 4.58483i | −0.243359 | − | 0.162607i | ||||
\(796\) | 31.4018 | − | 4.23604i | 1.11301 | − | 0.150143i | ||||
\(797\) | −5.58966 | + | 28.1011i | −0.197996 | + | 0.995393i | 0.746128 | + | 0.665803i | \(0.231911\pi\) |
−0.944124 | + | 0.329591i | \(0.893089\pi\) | |||||||
\(798\) | −5.95374 | − | 7.73351i | −0.210760 | − | 0.273763i | ||||
\(799\) | − | 5.04535i | − | 0.178492i | ||||||
\(800\) | 16.3705 | + | 4.24688i | 0.578785 | + | 0.150150i | ||||
\(801\) | − | 9.36884i | − | 0.331032i | ||||||
\(802\) | −36.4726 | + | 28.0789i | −1.28789 | + | 0.991501i | ||||
\(803\) | 14.0452 | − | 70.6098i | 0.495643 | − | 2.49177i | ||||
\(804\) | −5.36487 | − | 4.08950i | −0.189204 | − | 0.144225i | ||||
\(805\) | −15.4681 | − | 10.3355i | −0.545179 | − | 0.364277i | ||||
\(806\) | 8.75609 | + | 17.6844i | 0.308420 | + | 0.622908i | ||||
\(807\) | −14.1374 | − | 34.1306i | −0.497659 | − | 1.20146i | ||||
\(808\) | −35.7733 | + | 24.1513i | −1.25850 | + | 0.849640i | ||||
\(809\) | 2.83209 | − | 6.83727i | 0.0995710 | − | 0.240386i | −0.866242 | − | 0.499624i | \(-0.833472\pi\) |
0.965813 | + | 0.259238i | \(0.0834715\pi\) | |||||||
\(810\) | −1.46268 | − | 21.7839i | −0.0513934 | − | 0.765410i | ||||
\(811\) | 46.3896 | − | 9.22747i | 1.62896 | − | 0.324020i | 0.705792 | − | 0.708419i | \(-0.250591\pi\) |
0.923167 | + | 0.384399i | \(0.125591\pi\) | |||||||
\(812\) | 2.43878 | − | 39.1198i | 0.0855846 | − | 1.37283i | ||||
\(813\) | −15.5953 | + | 10.4204i | −0.546951 | + | 0.365461i | ||||
\(814\) | 55.5954 | + | 31.9799i | 1.94862 | + | 1.12090i | ||||
\(815\) | 0.413799 | + | 0.413799i | 0.0144948 | + | 0.0144948i | ||||
\(816\) | 2.75651 | + | 38.3107i | 0.0964971 | + | 1.34114i | ||||
\(817\) | −4.47383 | + | 4.47383i | −0.156519 | + | 0.156519i | ||||
\(818\) | 48.0718 | − | 12.9630i | 1.68079 | − | 0.453241i | ||||
\(819\) | −3.15306 | − | 4.71888i | −0.110177 | − | 0.164891i | ||||
\(820\) | 5.40071 | + | 15.7449i | 0.188601 | + | 0.549834i | ||||
\(821\) | −3.86909 | − | 19.4512i | −0.135032 | − | 0.678852i | −0.987695 | − | 0.156391i | \(-0.950014\pi\) |
0.852663 | − | 0.522461i | \(-0.174986\pi\) | |||||||
\(822\) | −10.7326 | + | 12.2776i | −0.374342 | + | 0.428231i | ||||
\(823\) | 32.9693 | + | 13.6563i | 1.14924 | + | 0.476030i | 0.874278 | − | 0.485426i | \(-0.161335\pi\) |
0.274960 | + | 0.961456i | \(0.411335\pi\) | |||||||
\(824\) | 12.0988 | − | 0.0578740i | 0.421483 | − | 0.00201614i | ||||
\(825\) | 30.2868 | − | 12.5452i | 1.05445 | − | 0.436768i | ||||
\(826\) | −18.7475 | − | 6.33060i | −0.652308 | − | 0.220270i | ||||
\(827\) | 10.8849 | − | 16.2904i | 0.378505 | − | 0.566473i | −0.592488 | − | 0.805579i | \(-0.701854\pi\) |
0.970994 | + | 0.239106i | \(0.0768543\pi\) | |||||||
\(828\) | −8.70087 | + | 5.06051i | −0.302376 | + | 0.175865i | ||||
\(829\) | −39.3454 | − | 7.82628i | −1.36652 | − | 0.271818i | −0.543300 | − | 0.839539i | \(-0.682825\pi\) |
−0.823221 | + | 0.567721i | \(0.807825\pi\) | |||||||
\(830\) | −3.08015 | − | 0.400514i | −0.106914 | − | 0.0139021i | ||||
\(831\) | 15.6209 | 0.541882 | ||||||||
\(832\) | 4.00323 | − | 21.1827i | 0.138787 | − | 0.734379i | ||||
\(833\) | −7.33921 | −0.254289 | ||||||||
\(834\) | −2.82418 | − | 0.367231i | −0.0977934 | − | 0.0127162i | ||||
\(835\) | 6.84174 | + | 1.36091i | 0.236768 | + | 0.0470961i | ||||
\(836\) | −8.32865 | − | 14.3200i | −0.288052 | − | 0.495267i | ||||
\(837\) | 11.9357 | − | 17.8630i | 0.412558 | − | 0.617437i | ||||
\(838\) | 25.6525 | + | 8.66225i | 0.886150 | + | 0.299233i | ||||
\(839\) | −37.2927 | + | 15.4471i | −1.28749 | + | 0.533294i | −0.918235 | − | 0.396035i | \(-0.870386\pi\) |
−0.369251 | + | 0.929330i | \(0.620386\pi\) | |||||||
\(840\) | 13.1829 | + | 13.0574i | 0.454853 | + | 0.450522i | ||||
\(841\) | −37.8314 | − | 15.6703i | −1.30453 | − | 0.540355i | ||||
\(842\) | −17.3930 | + | 19.8968i | −0.599403 | + | 0.685690i | ||||
\(843\) | −1.28992 | − | 6.48485i | −0.0444271 | − | 0.223350i | ||||
\(844\) | −5.48964 | + | 1.88303i | −0.188961 | + | 0.0648164i | ||||
\(845\) | 4.52031 | + | 6.76513i | 0.155503 | + | 0.232727i | ||||
\(846\) | −1.27324 | + | 0.343340i | −0.0437748 | + | 0.0118043i | ||||
\(847\) | 32.8700 | − | 32.8700i | 1.12943 | − | 1.12943i | ||||
\(848\) | −3.71881 | + | 11.1892i | −0.127704 | + | 0.384239i | ||||
\(849\) | −9.31006 | − | 9.31006i | −0.319520 | − | 0.319520i | ||||
\(850\) | 17.8234 | + | 10.2525i | 0.611339 | + | 0.351658i | ||||
\(851\) | −38.0226 | + | 25.4059i | −1.30340 | + | 0.870902i | ||||
\(852\) | 3.59833 | + | 0.224325i | 0.123277 | + | 0.00768526i | ||||
\(853\) | −4.15795 | + | 0.827067i | −0.142365 | + | 0.0283182i | −0.265759 | − | 0.964040i | \(-0.585622\pi\) |
0.123393 | + | 0.992358i | \(0.460622\pi\) | |||||||
\(854\) | 0.0866487 | + | 1.29047i | 0.00296506 | + | 0.0441591i | ||||
\(855\) | 0.727397 | − | 1.75609i | 0.0248764 | − | 0.0600570i | ||||
\(856\) | −3.56547 | + | 18.3840i | −0.121865 | + | 0.628352i | ||||
\(857\) | −3.06475 | − | 7.39897i | −0.104690 | − | 0.252744i | 0.862851 | − | 0.505459i | \(-0.168677\pi\) |
−0.967541 | + | 0.252715i | \(0.918677\pi\) | |||||||
\(858\) | −18.5414 | − | 37.4475i | −0.632992 | − | 1.27844i | ||||
\(859\) | 25.3340 | + | 16.9276i | 0.864385 | + | 0.577564i | 0.906812 | − | 0.421536i | \(-0.138509\pi\) |
−0.0424267 | + | 0.999100i | \(0.513509\pi\) | |||||||
\(860\) | 7.29199 | − | 9.56612i | 0.248655 | − | 0.326202i | ||||
\(861\) | 5.29854 | − | 26.6375i | 0.180574 | − | 0.907805i | ||||
\(862\) | −16.1276 | + | 12.4160i | −0.549307 | + | 0.422891i | ||||
\(863\) | 19.0711i | 0.649189i | 0.945853 | + | 0.324595i | \(0.105228\pi\) | ||||
−0.945853 | + | 0.324595i | \(0.894772\pi\) | |||||||
\(864\) | −22.1634 | + | 7.72104i | −0.754013 | + | 0.262675i | ||||
\(865\) | − | 4.41109i | − | 0.149982i | ||||||
\(866\) | −8.66058 | − | 11.2495i | −0.294298 | − | 0.382274i | ||||
\(867\) | −2.56167 | + | 12.8784i | −0.0869990 | + | 0.437373i | ||||
\(868\) | 3.24426 | + | 24.0497i | 0.110117 | + | 0.816300i | ||||
\(869\) | 34.6463 | + | 23.1499i | 1.17529 | + | 0.785307i | ||||
\(870\) | 29.6747 | − | 14.6928i | 1.00607 | − | 0.498132i | ||||
\(871\) | 1.76153 | + | 4.25271i | 0.0596871 | + | 0.144097i | ||||
\(872\) | 6.49055 | + | 31.8336i | 0.219798 | + | 1.07802i | ||||
\(873\) | 1.45574 | − | 3.51447i | 0.0492693 | − | 0.118947i | ||||
\(874\) | 11.7848 | − | 0.791292i | 0.398628 | − | 0.0267659i | ||||
\(875\) | 26.0347 | − | 5.17863i | 0.880135 | − | 0.175070i | ||||
\(876\) | −33.8791 | − | 38.3841i | −1.14467 | − | 1.29688i | ||||
\(877\) | 18.3071 | − | 12.2324i | 0.618187 | − | 0.413060i | −0.206662 | − | 0.978412i | \(-0.566260\pi\) |
0.824849 | + | 0.565353i | \(0.191260\pi\) | |||||||
\(878\) | 16.2263 | − | 28.2085i | 0.547610 | − | 0.951990i | ||||
\(879\) | 16.1404 | + | 16.1404i | 0.544402 | + | 0.544402i | ||||
\(880\) | 19.3314 | + | 24.8632i | 0.651662 | + | 0.838139i | ||||
\(881\) | −5.72028 | + | 5.72028i | −0.192721 | + | 0.192721i | −0.796871 | − | 0.604150i | \(-0.793513\pi\) |
0.604150 | + | 0.796871i | \(0.293513\pi\) | |||||||
\(882\) | 0.499439 | + | 1.85211i | 0.0168170 | + | 0.0623639i | ||||
\(883\) | −14.0036 | − | 20.9579i | −0.471259 | − | 0.705289i | 0.517353 | − | 0.855772i | \(-0.326917\pi\) |
−0.988613 | + | 0.150483i | \(0.951917\pi\) | |||||||
\(884\) | 11.5171 | − | 23.5434i | 0.387363 | − | 0.791849i | ||||
\(885\) | −3.26126 | − | 16.3954i | −0.109626 | − | 0.551127i | ||||
\(886\) | 2.87250 | + | 2.51102i | 0.0965035 | + | 0.0843594i | ||||
\(887\) | −1.34482 | − | 0.557044i | −0.0451548 | − | 0.0187037i | 0.359992 | − | 0.932955i | \(-0.382779\pi\) |
−0.405147 | + | 0.914252i | \(0.632779\pi\) | |||||||
\(888\) | 42.0544 | − | 17.6556i | 1.41125 | − | 0.592484i | ||||
\(889\) | −30.4155 | + | 12.5985i | −1.02010 | + | 0.422541i | ||||
\(890\) | 6.68684 | − | 19.8025i | 0.224144 | − | 0.663781i | ||||
\(891\) | −33.5932 | + | 50.2758i | −1.12541 | + | 1.68430i | ||||
\(892\) | 0.942543 | − | 3.56303i | 0.0315587 | − | 0.119299i | ||||
\(893\) | 1.51772 | + | 0.301894i | 0.0507886 | + | 0.0101025i | ||||
\(894\) | 0.0163436 | − | 0.125690i | 0.000546611 | − | 0.00420370i | ||||
\(895\) | 5.38449 | 0.179984 | ||||||||
\(896\) | 12.9984 | − | 23.1056i | 0.434245 | − | 0.771905i | ||||
\(897\) | 29.7934 | 0.994774 | ||||||||
\(898\) | 1.55335 | − | 11.9460i | 0.0518360 | − | 0.398644i | ||||
\(899\) | 42.4755 | + | 8.44891i | 1.41664 | + | 0.281787i | ||||
\(900\) | 1.37441 | − | 5.19559i | 0.0458137 | − | 0.173186i | ||||
\(901\) | −7.96426 | + | 11.9194i | −0.265328 | + | 0.397091i | ||||
\(902\) | 14.7484 | − | 43.6762i | 0.491070 | − | 1.45426i | ||||
\(903\) | −18.1323 | + | 7.51063i | −0.603404 | + | 0.249938i | ||||
\(904\) | −7.77495 | − | 18.5193i | −0.258591 | − | 0.615944i | ||||
\(905\) | 1.47635 | + | 0.611525i | 0.0490756 | + | 0.0203278i | ||||
\(906\) | 42.8076 | + | 37.4207i | 1.42219 | + | 1.24322i | ||||
\(907\) | 5.15594 | + | 25.9207i | 0.171200 | + | 0.860681i | 0.966932 | + | 0.255033i | \(0.0820862\pi\) |
−0.795732 | + | 0.605648i | \(0.792914\pi\) | |||||||
\(908\) | 1.32358 | − | 2.70568i | 0.0439247 | − | 0.0897912i | ||||
\(909\) | 7.62015 | + | 11.4044i | 0.252745 | + | 0.378259i | ||||
\(910\) | −3.29645 | − | 12.2245i | −0.109276 | − | 0.405239i | ||||
\(911\) | 9.32241 | − | 9.32241i | 0.308865 | − | 0.308865i | −0.535604 | − | 0.844469i | \(-0.679916\pi\) |
0.844469 | + | 0.535604i | \(0.179916\pi\) | |||||||
\(912\) | −11.6894 | − | 1.46315i | −0.387074 | − | 0.0484499i | ||||
\(913\) | 6.08271 | + | 6.08271i | 0.201308 | + | 0.201308i | ||||
\(914\) | −8.86248 | + | 15.4069i | −0.293145 | + | 0.509617i | ||||
\(915\) | −0.908512 | + | 0.607048i | −0.0300345 | + | 0.0200684i | ||||
\(916\) | 26.7176 | + | 30.2703i | 0.882775 | + | 1.00016i | ||||
\(917\) | 36.6722 | − | 7.29456i | 1.21102 | − | 0.240888i | ||||
\(918\) | −28.4700 | + | 1.91162i | −0.939650 | + | 0.0630927i | ||||
\(919\) | −10.1895 | + | 24.5995i | −0.336119 | + | 0.811464i | 0.661961 | + | 0.749538i | \(0.269724\pi\) |
−0.998081 | + | 0.0619260i | \(0.980276\pi\) | |||||||
\(920\) | −22.0025 | + | 4.48608i | −0.725401 | + | 0.147902i | ||||
\(921\) | −24.4191 | − | 58.9528i | −0.804635 | − | 1.94256i | ||||
\(922\) | −25.7333 | + | 12.7413i | −0.847480 | + | 0.419612i | ||||
\(923\) | −2.04553 | − | 1.36678i | −0.0673295 | − | 0.0449882i | ||||
\(924\) | −6.86984 | − | 50.9262i | −0.226001 | − | 1.67535i | ||||
\(925\) | 4.76341 | − | 23.9473i | 0.156620 | − | 0.787382i | ||||
\(926\) | −15.8095 | − | 20.5355i | −0.519534 | − | 0.674839i | ||||
\(927\) | − | 3.84472i | − | 0.126277i | ||||||
\(928\) | −31.4770 | − | 35.3206i | −1.03328 | − | 1.15946i | ||||
\(929\) | − | 1.73073i | − | 0.0567835i | −0.999597 | − | 0.0283918i | \(-0.990961\pi\) | ||
0.999597 | − | 0.0283918i | \(-0.00903859\pi\) | |||||||
\(930\) | −16.2450 | + | 12.5064i | −0.532693 | + | 0.410101i | ||||
\(931\) | 0.439149 | − | 2.20775i | 0.0143925 | − | 0.0723561i | ||||
\(932\) | −29.1029 | + | 38.1791i | −0.953296 | + | 1.25060i | ||||
\(933\) | 31.2750 | + | 20.8973i | 1.02390 | + | 0.684147i | ||||
\(934\) | −7.28010 | − | 14.7034i | −0.238212 | − | 0.481111i | ||||
\(935\) | 14.6530 | + | 35.3754i | 0.479203 | + | 1.15690i | ||||
\(936\) | −6.72512 | − | 1.30430i | −0.219818 | − | 0.0426324i | ||||
\(937\) | 18.3095 | − | 44.2031i | 0.598146 | − | 1.44405i | −0.277323 | − | 0.960777i | \(-0.589447\pi\) |
0.875469 | − | 0.483275i | \(-0.160553\pi\) | |||||||
\(938\) | 0.379236 | + | 5.64802i | 0.0123825 | + | 0.184414i | ||||
\(939\) | 57.8422 | − | 11.5055i | 1.88761 | − | 0.375469i | ||||
\(940\) | −2.93624 | − | 0.183050i | −0.0957696 | − | 0.00597042i | ||||
\(941\) | −2.21555 | + | 1.48039i | −0.0722250 | + | 0.0482592i | −0.591158 | − | 0.806555i | \(-0.701329\pi\) |
0.518933 | + | 0.854815i | \(0.326329\pi\) | |||||||
\(942\) | −35.7568 | − | 20.5682i | −1.16502 | − | 0.670149i | ||||
\(943\) | 23.2415 | + | 23.2415i | 0.756846 | + | 0.756846i | ||||
\(944\) | −21.3535 | + | 10.7002i | −0.694999 | + | 0.348263i | ||||
\(945\) | −9.74689 | + | 9.74689i | −0.317066 | + | 0.317066i | ||||
\(946\) | −32.1638 | + | 8.67324i | −1.04573 | + | 0.281992i | ||||
\(947\) | 14.3424 | + | 21.4649i | 0.466065 | + | 0.697516i | 0.987824 | − | 0.155578i | \(-0.0497239\pi\) |
−0.521759 | + | 0.853093i | \(0.674724\pi\) | |||||||
\(948\) | 28.0291 | − | 9.61438i | 0.910342 | − | 0.312261i | ||||
\(949\) | 6.81548 | + | 34.2637i | 0.221240 | + | 1.11225i | ||||
\(950\) | −4.15060 | + | 4.74810i | −0.134663 | + | 0.154049i | ||||
\(951\) | 25.2345 | + | 10.4525i | 0.818286 | + | 0.338945i | ||||
\(952\) | 22.6818 | − | 22.8999i | 0.735122 | − | 0.742189i | ||||
\(953\) | −24.3145 | + | 10.0714i | −0.787622 | + | 0.326244i | −0.739987 | − | 0.672621i | \(-0.765169\pi\) |
−0.0476352 | + | 0.998865i | \(0.515169\pi\) | |||||||
\(954\) | 3.54993 | + | 1.19873i | 0.114933 | + | 0.0388103i | ||||
\(955\) | −17.5822 | + | 26.3137i | −0.568948 | + | 0.851490i | ||||
\(956\) | −9.36047 | − | 16.0941i | −0.302739 | − | 0.520519i | ||||
\(957\) | −89.9436 | − | 17.8909i | −2.90746 | − | 0.578331i | ||||
\(958\) | −16.9535 | − | 2.20448i | −0.547744 | − | 0.0712236i | ||||
\(959\) | 13.6843 | 0.441888 | ||||||||
\(960\) | 22.3956 | − | 0.214261i | 0.722816 | − | 0.00691525i | ||||
\(961\) | 4.18662 | 0.135052 | ||||||||
\(962\) | −30.8630 | − | 4.01314i | −0.995063 | − | 0.129389i | ||||
\(963\) | 5.83644 | + | 1.16094i | 0.188077 | + | 0.0374108i | ||||
\(964\) | −33.2243 | + | 19.3236i | −1.07008 | + | 0.622371i | ||||
\(965\) | −1.66032 | + | 2.48484i | −0.0534475 | + | 0.0799899i | ||||
\(966\) | 34.7133 | + | 11.7219i | 1.11688 | + | 0.377145i | ||||
\(967\) | −8.02112 | + | 3.32246i | −0.257942 | + | 0.106843i | −0.507907 | − | 0.861412i | \(-0.669581\pi\) |
0.249965 | + | 0.968255i | \(0.419581\pi\) | |||||||
\(968\) | −0.268396 | − | 56.1093i | −0.00862656 | − | 1.80342i | ||||
\(969\) | −13.2324 | − | 5.48104i | −0.425086 | − | 0.176076i | ||||
\(970\) | 5.58532 | − | 6.38936i | 0.179334 | − | 0.205150i | ||||
\(971\) | −9.92238 | − | 49.8832i | −0.318424 | − | 1.60083i | −0.726026 | − | 0.687667i | \(-0.758635\pi\) |
0.407602 | − | 0.913160i | \(-0.366365\pi\) | |||||||
\(972\) | 5.87472 | + | 17.1267i | 0.188432 | + | 0.549340i | ||||
\(973\) | 1.32774 | + | 1.98710i | 0.0425653 | + | 0.0637034i | ||||
\(974\) | −47.6152 | + | 12.8398i | −1.52569 | + | 0.411415i | ||||
\(975\) | −11.2485 | + | 11.2485i | −0.360239 | + | 0.360239i | ||||
\(976\) | 1.18029 | + | 1.02185i | 0.0377803 | + | 0.0327085i | ||||
\(977\) | 34.0542 | + | 34.0542i | 1.08949 | + | 1.08949i | 0.995581 | + | 0.0939094i | \(0.0299364\pi\) |
0.0939094 | + | 0.995581i | \(0.470064\pi\) | |||||||
\(978\) | −0.999049 | − | 0.574679i | −0.0319461 | − | 0.0183762i | ||||
\(979\) | −48.1297 | + | 32.1592i | −1.53823 | + | 1.02781i | ||||
\(980\) | −0.266273 | + | 4.27119i | −0.00850577 | + | 0.136438i | ||||
\(981\) | 10.1256 | − | 2.01411i | 0.323285 | − | 0.0643054i | ||||
\(982\) | 2.52522 | + | 37.6085i | 0.0805831 | + | 1.20014i | ||||
\(983\) | 21.4849 | − | 51.8692i | 0.685262 | − | 1.65437i | −0.0688520 | − | 0.997627i | \(-0.521934\pi\) |
0.754114 | − | 0.656743i | \(-0.228066\pi\) | |||||||
\(984\) | −18.3433 | − | 27.1704i | −0.584763 | − | 0.866162i | ||||
\(985\) | −3.04858 | − | 7.35993i | −0.0971360 | − | 0.234507i | ||||
\(986\) | −25.5227 | − | 51.5476i | −0.812809 | − | 1.64161i | ||||
\(987\) | 3.99123 | + | 2.66686i | 0.127042 | + | 0.0848870i | ||||
\(988\) | 6.39308 | + | 4.87327i | 0.203391 | + | 0.155039i | ||||
\(989\) | 4.63373 | − | 23.2953i | 0.147344 | − | 0.740749i | ||||
\(990\) | 7.93014 | − | 6.10513i | 0.252036 | − | 0.194034i | ||||
\(991\) | − | 56.1598i | − | 1.78397i | −0.452061 | − | 0.891987i | \(-0.649311\pi\) | ||
0.452061 | − | 0.891987i | \(-0.350689\pi\) | |||||||
\(992\) | 23.3804 | + | 17.6461i | 0.742329 | + | 0.560264i | ||||
\(993\) | 19.7631i | 0.627163i | ||||||||
\(994\) | −1.84557 | − | 2.39727i | −0.0585380 | − | 0.0760368i | ||||
\(995\) | 4.38232 | − | 22.0314i | 0.138929 | − | 0.698443i | ||||
\(996\) | 6.06246 | − | 0.817814i | 0.192096 | − | 0.0259134i | ||||
\(997\) | −19.4239 | − | 12.9787i | −0.615162 | − | 0.411038i | 0.208578 | − | 0.978006i | \(-0.433116\pi\) |
−0.823740 | + | 0.566968i | \(0.808116\pi\) | |||||||
\(998\) | 3.56573 | − | 1.76550i | 0.112871 | − | 0.0558859i | ||||
\(999\) | 12.9666 | + | 31.3041i | 0.410244 | + | 0.990416i |
(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 | 64.2.i.a.29.4 | ✓ | 56 | |
3.2 | odd | 2 | 576.2.bd.a.541.4 | 56 | |||
4.3 | odd | 2 | 256.2.i.a.209.2 | 56 | |||
8.3 | odd | 2 | 512.2.i.a.161.6 | 56 | |||
8.5 | even | 2 | 512.2.i.b.161.2 | 56 | |||
64.11 | odd | 16 | 256.2.i.a.49.2 | 56 | |||
64.21 | even | 16 | 512.2.i.b.353.2 | 56 | |||
64.43 | odd | 16 | 512.2.i.a.353.6 | 56 | |||
64.53 | even | 16 | inner | 64.2.i.a.53.4 | yes | 56 | |
192.53 | odd | 16 | 576.2.bd.a.181.4 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.29.4 | ✓ | 56 | 1.1 | even | 1 | trivial | |
64.2.i.a.53.4 | yes | 56 | 64.53 | even | 16 | inner | |
256.2.i.a.49.2 | 56 | 64.11 | odd | 16 | |||
256.2.i.a.209.2 | 56 | 4.3 | odd | 2 | |||
512.2.i.a.161.6 | 56 | 8.3 | odd | 2 | |||
512.2.i.a.353.6 | 56 | 64.43 | odd | 16 | |||
512.2.i.b.161.2 | 56 | 8.5 | even | 2 | |||
512.2.i.b.353.2 | 56 | 64.21 | even | 16 | |||
576.2.bd.a.181.4 | 56 | 192.53 | odd | 16 | |||
576.2.bd.a.541.4 | 56 | 3.2 | odd | 2 |