Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(143,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.i (of order \(6\), degree \(2\), not 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 143.3 | ||
Root | \(-0.539982 + 0.935277i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.143 |
Dual form | 189.2.i.b.152.3 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.293869i | 0.207797i | 0.994588 | + | 0.103899i | \(0.0331317\pi\) | ||||
−0.994588 | + | 0.103899i | \(0.966868\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.91364 | 0.956820 | ||||||||
\(5\) | −1.53014 | + | 2.65027i | −0.684297 | + | 1.18524i | 0.289360 | + | 0.957220i | \(0.406558\pi\) |
−0.973657 | + | 0.228017i | \(0.926776\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.41763 | + | 2.23391i | −0.535812 | + | 0.844337i | ||||
\(8\) | 1.15010i | 0.406622i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.778834 | − | 0.449660i | −0.246289 | − | 0.142195i | ||||
\(11\) | 3.37445 | − | 1.94824i | 1.01743 | − | 0.587416i | 0.104074 | − | 0.994570i | \(-0.466812\pi\) |
0.913360 | + | 0.407154i | \(0.133479\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.02935 | + | 1.17164i | −0.562840 | + | 0.324956i | −0.754285 | − | 0.656548i | \(-0.772016\pi\) |
0.191445 | + | 0.981503i | \(0.438683\pi\) | |||||||
\(14\) | −0.656477 | − | 0.416597i | −0.175451 | − | 0.111340i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.48930 | 0.872326 | ||||||||
\(17\) | 1.68263 | − | 2.91440i | 0.408097 | − | 0.706845i | −0.586579 | − | 0.809892i | \(-0.699526\pi\) |
0.994677 | + | 0.103047i | \(0.0328591\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.20696 | − | 1.27419i | 0.506312 | − | 0.292319i | −0.225004 | − | 0.974358i | \(-0.572240\pi\) |
0.731316 | + | 0.682038i | \(0.238906\pi\) | |||||||
\(20\) | −2.92813 | + | 5.07167i | −0.654750 | + | 1.13406i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.572527 | + | 0.991647i | 0.122063 | + | 0.211420i | ||||
\(23\) | −2.58141 | − | 1.49038i | −0.538261 | − | 0.310765i | 0.206113 | − | 0.978528i | \(-0.433919\pi\) |
−0.744374 | + | 0.667763i | \(0.767252\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.18263 | − | 3.78042i | −0.436525 | − | 0.756084i | ||||
\(26\) | −0.344311 | − | 0.596363i | −0.0675249 | − | 0.116956i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.71283 | + | 4.27489i | −0.512676 | + | 0.807879i | ||||
\(29\) | 3.67241 | + | 2.12027i | 0.681949 | + | 0.393724i | 0.800589 | − | 0.599214i | \(-0.204520\pi\) |
−0.118640 | + | 0.992937i | \(0.537853\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 0.472735i | − | 0.0849057i | −0.999098 | − | 0.0424528i | \(-0.986483\pi\) | ||
0.999098 | − | 0.0424528i | \(-0.0135172\pi\) | |||||||
\(32\) | 3.32560i | 0.587888i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.856452 | + | 0.494473i | 0.146880 | + | 0.0848014i | ||||
\(35\) | −3.75130 | − | 7.17527i | −0.634086 | − | 1.21284i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.89395 | − | 6.74451i | −0.640161 | − | 1.10879i | −0.985397 | − | 0.170275i | \(-0.945534\pi\) |
0.345236 | − | 0.938516i | \(-0.387799\pi\) | |||||||
\(38\) | 0.374446 | + | 0.648559i | 0.0607431 | + | 0.105210i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.04808 | − | 1.75981i | −0.481943 | − | 0.278250i | ||||
\(41\) | −3.12737 | − | 5.41676i | −0.488413 | − | 0.845956i | 0.511498 | − | 0.859284i | \(-0.329091\pi\) |
−0.999911 | + | 0.0133282i | \(0.995757\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.06191 | − | 3.57133i | 0.314438 | − | 0.544623i | −0.664880 | − | 0.746950i | \(-0.731517\pi\) |
0.979318 | + | 0.202328i | \(0.0648506\pi\) | |||||||
\(44\) | 6.45748 | − | 3.72823i | 0.973501 | − | 0.562051i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.437976 | − | 0.758597i | 0.0645761 | − | 0.111849i | ||||
\(47\) | 4.05388 | 0.591319 | 0.295659 | − | 0.955293i | \(-0.404461\pi\) | ||||
0.295659 | + | 0.955293i | \(0.404461\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.98068 | − | 6.33369i | −0.425811 | − | 0.904812i | ||||
\(50\) | 1.11095 | − | 0.641408i | 0.157112 | − | 0.0907087i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.88344 | + | 2.24211i | −0.538537 | + | 0.310924i | ||||
\(53\) | −4.99439 | − | 2.88351i | −0.686033 | − | 0.396081i | 0.116091 | − | 0.993239i | \(-0.462963\pi\) |
−0.802124 | + | 0.597157i | \(0.796297\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 11.9243i | 1.60787i | ||||||||
\(56\) | −2.56921 | − | 1.63041i | −0.343326 | − | 0.217873i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.623082 | + | 1.07921i | −0.0818146 | + | 0.141707i | ||||
\(59\) | 4.68705 | 0.610201 | 0.305101 | − | 0.952320i | \(-0.401310\pi\) | ||||
0.305101 | + | 0.952320i | \(0.401310\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.60018i | 0.204883i | 0.994739 | + | 0.102441i | \(0.0326654\pi\) | ||||
−0.994739 | + | 0.102441i | \(0.967335\pi\) | |||||||
\(62\) | 0.138922 | 0.0176432 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.00131 | 0.750164 | ||||||||
\(65\) | − | 7.17110i | − | 0.889465i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.57566 | 0.192498 | 0.0962489 | − | 0.995357i | \(-0.469316\pi\) | ||||
0.0962489 | + | 0.995357i | \(0.469316\pi\) | |||||||
\(68\) | 3.21994 | − | 5.57711i | 0.390476 | − | 0.676324i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.10859 | − | 1.10239i | 0.252025 | − | 0.131761i | ||||
\(71\) | 13.6132i | 1.61559i | 0.589462 | + | 0.807796i | \(0.299340\pi\) | ||||
−0.589462 | + | 0.807796i | \(0.700660\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.856452 | − | 0.494473i | −0.100240 | − | 0.0578737i | 0.449042 | − | 0.893511i | \(-0.351765\pi\) |
−0.549282 | + | 0.835637i | \(0.685099\pi\) | |||||||
\(74\) | 1.98201 | − | 1.14431i | 0.230404 | − | 0.133024i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.22333 | − | 2.43834i | 0.484450 | − | 0.279697i | ||||
\(77\) | −0.431520 | + | 10.3001i | −0.0491763 | + | 1.17380i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.27815 | −1.04387 | −0.521937 | − | 0.852984i | \(-0.674790\pi\) | ||||
−0.521937 | + | 0.852984i | \(0.674790\pi\) | |||||||
\(80\) | −5.33910 | + | 9.24760i | −0.596930 | + | 1.03391i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.59182 | − | 0.919038i | 0.175787 | − | 0.101491i | ||||
\(83\) | −5.49361 | + | 9.51520i | −0.603002 | + | 1.04443i | 0.389362 | + | 0.921085i | \(0.372695\pi\) |
−0.992364 | + | 0.123345i | \(0.960638\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.14930 | + | 8.91884i | 0.558519 | + | 0.967384i | ||||
\(86\) | 1.04950 | + | 0.605932i | 0.113171 | + | 0.0653393i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.24067 | + | 3.88095i | 0.238856 | + | 0.413710i | ||||
\(89\) | 2.15849 | + | 3.73861i | 0.228799 | + | 0.396292i | 0.957452 | − | 0.288591i | \(-0.0931868\pi\) |
−0.728653 | + | 0.684883i | \(0.759853\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.259511 | − | 6.19433i | 0.0272041 | − | 0.649342i | ||||
\(92\) | −4.93989 | − | 2.85205i | −0.515019 | − | 0.297346i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.19131i | 0.122874i | ||||||||
\(95\) | 7.79874i | 0.800133i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.98797 | + | 2.87980i | 0.506451 | + | 0.292400i | 0.731374 | − | 0.681977i | \(-0.238880\pi\) |
−0.224923 | + | 0.974377i | \(0.572213\pi\) | |||||||
\(98\) | 1.86128 | − | 0.875930i | 0.188017 | − | 0.0884823i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.17676 | − | 7.23437i | −0.417676 | − | 0.723437i | ||||
\(101\) | −8.57900 | − | 14.8593i | −0.853642 | − | 1.47855i | −0.877899 | − | 0.478846i | \(-0.841055\pi\) |
0.0242566 | − | 0.999706i | \(-0.492278\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.50422 | + | 4.90992i | 0.837946 | + | 0.483788i | 0.856566 | − | 0.516038i | \(-0.172594\pi\) |
−0.0186195 | + | 0.999827i | \(0.505927\pi\) | |||||||
\(104\) | −1.34751 | − | 2.33395i | −0.132134 | − | 0.228863i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.847377 | − | 1.46770i | 0.0823045 | − | 0.142556i | ||||
\(107\) | 3.00501 | − | 1.73494i | 0.290505 | − | 0.167723i | −0.347664 | − | 0.937619i | \(-0.613025\pi\) |
0.638170 | + | 0.769896i | \(0.279692\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.611066 | − | 1.05840i | 0.0585295 | − | 0.101376i | −0.835276 | − | 0.549831i | \(-0.814692\pi\) |
0.893806 | + | 0.448455i | \(0.148025\pi\) | |||||||
\(110\) | −3.50418 | −0.334110 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.94652 | + | 7.79478i | −0.467403 | + | 0.736537i | ||||
\(113\) | 1.87681 | − | 1.08358i | 0.176555 | − | 0.101934i | −0.409118 | − | 0.912482i | \(-0.634164\pi\) |
0.585673 | + | 0.810547i | \(0.300830\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.89981 | − | 4.56096i | 0.736661 | − | 0.425311i | ||||
\(116\) | 7.02767 | + | 4.05743i | 0.652503 | + | 0.376723i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.37738i | 0.126798i | ||||||||
\(119\) | 4.12515 | + | 7.89035i | 0.378152 | + | 0.723308i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.09126 | − | 3.62216i | 0.190114 | − | 0.329287i | ||||
\(122\) | −0.470245 | −0.0425740 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 0.904645i | − | 0.0812395i | ||||||
\(125\) | −1.94249 | −0.173742 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.74889 | 0.243925 | 0.121962 | − | 0.992535i | \(-0.461081\pi\) | ||||
0.121962 | + | 0.992535i | \(0.461081\pi\) | |||||||
\(128\) | 8.41480i | 0.743770i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.10737 | 0.184828 | ||||||||
\(131\) | 3.73911 | − | 6.47632i | 0.326687 | − | 0.565839i | −0.655165 | − | 0.755486i | \(-0.727401\pi\) |
0.981852 | + | 0.189647i | \(0.0607343\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.282224 | + | 6.73647i | −0.0244719 | + | 0.584126i | ||||
\(134\) | 0.463039i | 0.0400005i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.35185 | + | 1.93519i | 0.287418 | + | 0.165941i | ||||
\(137\) | 10.5731 | − | 6.10439i | 0.903321 | − | 0.521533i | 0.0250451 | − | 0.999686i | \(-0.492027\pi\) |
0.878276 | + | 0.478153i | \(0.158694\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.5501 | + | 6.66842i | −0.979663 | + | 0.565608i | −0.902168 | − | 0.431384i | \(-0.858025\pi\) |
−0.0774943 | + | 0.996993i | \(0.524692\pi\) | |||||||
\(140\) | −7.17864 | − | 13.7309i | −0.606706 | − | 1.16047i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.00051 | −0.335715 | ||||||||
\(143\) | −4.56528 | + | 7.90730i | −0.381768 | + | 0.661242i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.2386 | + | 6.48859i | −0.933312 | + | 0.538848i | ||||
\(146\) | 0.145310 | − | 0.251685i | 0.0120260 | − | 0.0208296i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.45161 | − | 12.9066i | −0.612519 | − | 1.06091i | ||||
\(149\) | 7.33827 | + | 4.23675i | 0.601174 | + | 0.347088i | 0.769503 | − | 0.638643i | \(-0.220504\pi\) |
−0.168329 | + | 0.985731i | \(0.553837\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.67827 | + | 2.90685i | 0.136576 | + | 0.236556i | 0.926198 | − | 0.377037i | \(-0.123057\pi\) |
−0.789623 | + | 0.613593i | \(0.789724\pi\) | |||||||
\(152\) | 1.46545 | + | 2.53823i | 0.118863 | + | 0.205877i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.02688 | − | 0.126811i | −0.243913 | − | 0.0102187i | ||||
\(155\) | 1.25288 | + | 0.723348i | 0.100633 | + | 0.0581007i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 16.7085i | − | 1.33349i | −0.745288 | − | 0.666743i | \(-0.767688\pi\) | ||
0.745288 | − | 0.666743i | \(-0.232312\pi\) | |||||||
\(158\) | − | 2.72657i | − | 0.216914i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.81374 | − | 5.08862i | −0.696787 | − | 0.402290i | ||||
\(161\) | 6.98883 | − | 3.65383i | 0.550797 | − | 0.287962i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.6662 | + | 21.9385i | 0.992094 | + | 1.71836i | 0.604731 | + | 0.796430i | \(0.293281\pi\) |
0.387363 | + | 0.921927i | \(0.373386\pi\) | |||||||
\(164\) | −5.98466 | − | 10.3657i | −0.467324 | − | 0.809428i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.79623 | − | 1.61440i | −0.217029 | − | 0.125302i | ||||
\(167\) | −0.875828 | − | 1.51698i | −0.0677736 | − | 0.117387i | 0.830147 | − | 0.557544i | \(-0.188256\pi\) |
−0.897921 | + | 0.440157i | \(0.854923\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.75450 | + | 6.50298i | −0.288808 | + | 0.500229i | ||||
\(170\) | −2.62097 | + | 1.51322i | −0.201020 | + | 0.116059i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.94575 | − | 6.83424i | 0.300861 | − | 0.521106i | ||||
\(173\) | −23.9266 | −1.81910 | −0.909551 | − | 0.415592i | \(-0.863574\pi\) | ||||
−0.909551 | + | 0.415592i | \(0.863574\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.5393 | + | 0.483436i | 0.872286 | + | 0.0365443i | ||||
\(176\) | 11.7745 | − | 6.79799i | 0.887533 | − | 0.512418i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.09866 | + | 0.634313i | −0.0823482 | + | 0.0475438i | ||||
\(179\) | −21.9857 | − | 12.6935i | −1.64329 | − | 0.948755i | −0.979652 | − | 0.200702i | \(-0.935678\pi\) |
−0.663639 | − | 0.748053i | \(-0.730989\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 22.4032i | − | 1.66522i | −0.553859 | − | 0.832610i | \(-0.686845\pi\) | ||
0.553859 | − | 0.832610i | \(-0.313155\pi\) | |||||||
\(182\) | 1.82032 | + | 0.0762622i | 0.134931 | + | 0.00565293i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.71408 | − | 2.96888i | 0.126364 | − | 0.218869i | ||||
\(185\) | 23.8331 | 1.75224 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 13.1126i | − | 0.958890i | ||||||
\(188\) | 7.75766 | 0.565786 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.29181 | −0.166265 | ||||||||
\(191\) | 4.28895i | 0.310337i | 0.987888 | + | 0.155169i | \(0.0495921\pi\) | ||||
−0.987888 | + | 0.155169i | \(0.950408\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −23.3449 | −1.68041 | −0.840203 | − | 0.542272i | \(-0.817564\pi\) | ||||
−0.840203 | + | 0.542272i | \(0.817564\pi\) | |||||||
\(194\) | −0.846286 | + | 1.46581i | −0.0607598 | + | 0.105239i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.70394 | − | 12.1204i | −0.407425 | − | 0.865743i | ||||
\(197\) | − | 18.7811i | − | 1.33809i | −0.743220 | − | 0.669047i | \(-0.766702\pi\) | ||
0.743220 | − | 0.669047i | \(-0.233298\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.92927 | − | 2.26856i | −0.278539 | − | 0.160814i | 0.354223 | − | 0.935161i | \(-0.384745\pi\) |
−0.632762 | + | 0.774347i | \(0.718079\pi\) | |||||||
\(200\) | 4.34786 | − | 2.51024i | 0.307440 | − | 0.177501i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.36668 | − | 2.52111i | 0.307239 | − | 0.177384i | ||||
\(203\) | −9.94258 | + | 5.19808i | −0.697832 | + | 0.364833i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.1412 | 1.33688 | ||||||||
\(206\) | −1.44287 | + | 2.49913i | −0.100530 | + | 0.174123i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.08101 | + | 4.08822i | −0.490980 | + | 0.283467i | ||||
\(209\) | 4.96485 | − | 8.59937i | 0.343426 | − | 0.594831i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.44148 | − | 5.96082i | −0.236921 | − | 0.410360i | 0.722908 | − | 0.690944i | \(-0.242805\pi\) |
−0.959829 | + | 0.280584i | \(0.909472\pi\) | |||||||
\(212\) | −9.55747 | − | 5.51801i | −0.656410 | − | 0.378978i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.509847 | + | 0.883081i | 0.0348524 | + | 0.0603662i | ||||
\(215\) | 6.31000 | + | 10.9292i | 0.430338 | + | 0.745368i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.05605 | + | 0.670161i | 0.0716890 | + | 0.0454935i | ||||
\(218\) | 0.311031 | + | 0.179574i | 0.0210657 | + | 0.0121623i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 22.8188i | 1.53844i | ||||||||
\(221\) | 7.88576i | 0.530454i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.57176 | + | 3.21686i | 0.373113 | + | 0.215417i | 0.674818 | − | 0.737985i | \(-0.264222\pi\) |
−0.301705 | + | 0.953401i | \(0.597556\pi\) | |||||||
\(224\) | −7.42908 | − | 4.71445i | −0.496376 | − | 0.314998i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.318430 | + | 0.551537i | 0.0211816 | + | 0.0366877i | ||||
\(227\) | 9.86983 | + | 17.0951i | 0.655084 | + | 1.13464i | 0.981873 | + | 0.189541i | \(0.0607000\pi\) |
−0.326789 | + | 0.945097i | \(0.605967\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.44564 | + | 5.45344i | 0.624185 | + | 0.360373i | 0.778497 | − | 0.627649i | \(-0.215983\pi\) |
−0.154311 | + | 0.988022i | \(0.549316\pi\) | |||||||
\(230\) | 1.34033 | + | 2.32151i | 0.0883785 | + | 0.153076i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.43852 | + | 4.22364i | −0.160097 | + | 0.277295i | ||||
\(233\) | −17.9944 | + | 10.3891i | −1.17885 | + | 0.680611i | −0.955749 | − | 0.294184i | \(-0.904952\pi\) |
−0.223104 | + | 0.974795i | \(0.571619\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.20298 | + | 10.7439i | −0.404638 | + | 0.700853i | ||||
\(236\) | 8.96932 | 0.583853 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.31873 | + | 1.21226i | −0.150301 | + | 0.0785789i | ||||
\(239\) | −23.6739 | + | 13.6681i | −1.53134 | + | 0.884119i | −0.532039 | + | 0.846720i | \(0.678574\pi\) |
−0.999300 | + | 0.0373991i | \(0.988093\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −18.4688 | + | 10.6630i | −1.18968 | + | 0.686861i | −0.958234 | − | 0.285987i | \(-0.907679\pi\) |
−0.231445 | + | 0.972848i | \(0.574345\pi\) | |||||||
\(242\) | 1.06444 | + | 0.614556i | 0.0684250 | + | 0.0395052i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.06218i | 0.196036i | ||||||||
\(245\) | 21.3468 | + | 1.79179i | 1.36380 | + | 0.114473i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.98580 | + | 5.17155i | −0.189982 | + | 0.329058i | ||||
\(248\) | 0.543692 | 0.0345245 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | − | 0.570839i | − | 0.0361030i | ||||||
\(251\) | 26.7381 | 1.68769 | 0.843847 | − | 0.536584i | \(-0.180286\pi\) | ||||
0.843847 | + | 0.536584i | \(0.180286\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.6144 | −0.730193 | ||||||||
\(254\) | 0.807815i | 0.0506868i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.52977 | 0.595611 | ||||||||
\(257\) | 1.52640 | − | 2.64380i | 0.0952140 | − | 0.164916i | −0.814484 | − | 0.580186i | \(-0.802980\pi\) |
0.909698 | + | 0.415271i | \(0.136313\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 20.5868 | + | 0.862480i | 1.27920 | + | 0.0535919i | ||||
\(260\) | − | 13.7229i | − | 0.851058i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.90319 | + | 1.09881i | 0.117580 | + | 0.0678847i | ||||
\(263\) | −14.0447 | + | 8.10868i | −0.866030 | + | 0.500003i | −0.866027 | − | 0.499997i | \(-0.833334\pi\) |
−3.24009e−6 | 1.00000i | \(0.500001\pi\) | ||||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.2842 | − | 8.82433i | 0.938901 | − | 0.542074i | ||||
\(266\) | −1.97964 | − | 0.0829370i | −0.121380 | − | 0.00508519i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.01525 | 0.184186 | ||||||||
\(269\) | −0.303255 | + | 0.525254i | −0.0184898 | + | 0.0320253i | −0.875122 | − | 0.483902i | \(-0.839219\pi\) |
0.856632 | + | 0.515927i | \(0.172552\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.8948 | − | 11.4863i | 1.20852 | − | 0.697742i | 0.246088 | − | 0.969248i | \(-0.420855\pi\) |
0.962437 | + | 0.271505i | \(0.0875215\pi\) | |||||||
\(272\) | 5.87120 | − | 10.1692i | 0.355994 | − | 0.616599i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.79389 | + | 3.10711i | 0.108373 | + | 0.187708i | ||||
\(275\) | −14.7303 | − | 8.50455i | −0.888271 | − | 0.512844i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.64173 | − | 11.5038i | −0.399063 | − | 0.691197i | 0.594548 | − | 0.804060i | \(-0.297331\pi\) |
−0.993611 | + | 0.112863i | \(0.963998\pi\) | |||||||
\(278\) | −1.95965 | − | 3.39421i | −0.117532 | − | 0.203571i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.25228 | − | 4.31437i | 0.493168 | − | 0.257833i | ||||
\(281\) | −5.68377 | − | 3.28153i | −0.339065 | − | 0.195759i | 0.320793 | − | 0.947149i | \(-0.396050\pi\) |
−0.659859 | + | 0.751390i | \(0.729384\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.97234i | 0.176687i | 0.996090 | + | 0.0883437i | \(0.0281574\pi\) | ||||
−0.996090 | + | 0.0883437i | \(0.971843\pi\) | |||||||
\(284\) | 26.0508i | 1.54583i | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.32371 | − | 1.34160i | −0.137404 | − | 0.0793303i | ||||
\(287\) | 16.5340 | + | 0.692689i | 0.975970 | + | 0.0408882i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.83753 | + | 4.91475i | 0.166914 | + | 0.289103i | ||||
\(290\) | −1.90680 | − | 3.30267i | −0.111971 | − | 0.193940i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.63894 | − | 0.946243i | −0.0959118 | − | 0.0553747i | ||||
\(293\) | −3.03087 | − | 5.24962i | −0.177065 | − | 0.306686i | 0.763809 | − | 0.645443i | \(-0.223327\pi\) |
−0.940874 | + | 0.338756i | \(0.889994\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.17181 | + | 12.4219i | −0.417559 | + | 0.723234i | ||||
\(296\) | 7.75686 | − | 4.47843i | 0.450858 | − | 0.260303i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.24505 | + | 2.15649i | −0.0721239 | + | 0.124922i | ||||
\(299\) | 6.98477 | 0.403940 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.05500 | + | 9.66892i | 0.291366 | + | 0.557307i | ||||
\(302\) | −0.854235 | + | 0.493193i | −0.0491557 | + | 0.0283801i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.70076 | − | 4.44604i | 0.441669 | − | 0.254998i | ||||
\(305\) | −4.24092 | − | 2.44850i | −0.242834 | − | 0.140201i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 21.6030i | − | 1.23295i | −0.787375 | − | 0.616474i | \(-0.788561\pi\) | ||
0.787375 | − | 0.616474i | \(-0.211439\pi\) | |||||||
\(308\) | −0.825775 | + | 19.7106i | −0.0470529 | + | 1.12312i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.212570 | + | 0.368182i | −0.0120732 | + | 0.0209113i | ||||
\(311\) | −11.0234 | −0.625081 | −0.312540 | − | 0.949905i | \(-0.601180\pi\) | ||||
−0.312540 | + | 0.949905i | \(0.601180\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.5542i | 0.766129i | 0.923722 | + | 0.383064i | \(0.125131\pi\) | ||||
−0.923722 | + | 0.383064i | \(0.874869\pi\) | |||||||
\(314\) | 4.91012 | 0.277094 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −17.7551 | −0.998800 | ||||||||
\(317\) | 11.1541i | 0.626479i | 0.949674 | + | 0.313240i | \(0.101414\pi\) | ||||
−0.949674 | + | 0.313240i | \(0.898586\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 16.5231 | 0.925118 | ||||||||
\(320\) | −9.18282 | + | 15.9051i | −0.513335 | + | 0.889123i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.07375 | + | 2.05380i | 0.0598377 | + | 0.114454i | ||||
\(323\) | − | 8.57595i | − | 0.477179i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.85862 | + | 5.11453i | 0.491388 | + | 0.283703i | ||||
\(326\) | −6.44706 | + | 3.72221i | −0.357070 | + | 0.206154i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.22982 | − | 3.59679i | 0.343984 | − | 0.198599i | ||||
\(329\) | −5.74688 | + | 9.05598i | −0.316836 | + | 0.499272i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −19.0202 | −1.04544 | −0.522722 | − | 0.852503i | \(-0.675083\pi\) | ||||
−0.522722 | + | 0.852503i | \(0.675083\pi\) | |||||||
\(332\) | −10.5128 | + | 18.2087i | −0.576964 | + | 0.999331i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.445794 | − | 0.257379i | 0.0243927 | − | 0.0140832i | ||||
\(335\) | −2.41098 | + | 4.17593i | −0.131726 | + | 0.228156i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.32635 | + | 5.76140i | 0.181198 | + | 0.313843i | 0.942289 | − | 0.334802i | \(-0.108669\pi\) |
−0.761091 | + | 0.648645i | \(0.775336\pi\) | |||||||
\(338\) | −1.91103 | − | 1.10333i | −0.103946 | − | 0.0600134i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.85390 | + | 17.0675i | 0.534403 | + | 0.925613i | ||||
\(341\) | −0.921000 | − | 1.59522i | −0.0498749 | − | 0.0863859i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.3743 | + | 2.32024i | 0.992121 | + | 0.125281i | ||||
\(344\) | 4.10738 | + | 2.37140i | 0.221455 | + | 0.127857i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 7.03128i | − | 0.378004i | ||||||
\(347\) | − | 26.6501i | − | 1.43065i | −0.698792 | − | 0.715325i | \(-0.746279\pi\) | ||
0.698792 | − | 0.715325i | \(-0.253721\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −20.5135 | − | 11.8435i | −1.09806 | − | 0.633966i | −0.162350 | − | 0.986733i | \(-0.551907\pi\) |
−0.935711 | + | 0.352768i | \(0.885241\pi\) | |||||||
\(350\) | −0.142067 | + | 3.39104i | −0.00759380 | + | 0.181258i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.47905 | + | 11.2221i | 0.345335 | + | 0.598137i | ||||
\(353\) | −2.29422 | − | 3.97371i | −0.122109 | − | 0.211499i | 0.798490 | − | 0.602008i | \(-0.205632\pi\) |
−0.920599 | + | 0.390509i | \(0.872299\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −36.0788 | − | 20.8301i | −1.91486 | − | 1.10555i | ||||
\(356\) | 4.13057 | + | 7.15435i | 0.218920 | + | 0.379180i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.73022 | − | 6.46094i | 0.197148 | − | 0.341471i | ||||
\(359\) | 5.30942 | − | 3.06540i | 0.280221 | − | 0.161785i | −0.353303 | − | 0.935509i | \(-0.614941\pi\) |
0.633523 | + | 0.773724i | \(0.281608\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.25288 | + | 10.8303i | −0.329099 | + | 0.570016i | ||||
\(362\) | 6.58363 | 0.346028 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.496610 | − | 11.8537i | 0.0260294 | − | 0.621303i | ||||
\(365\) | 2.62097 | − | 1.51322i | 0.137188 | − | 0.0792056i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.8860 | − | 13.2132i | 1.19464 | − | 0.689725i | 0.235283 | − | 0.971927i | \(-0.424398\pi\) |
0.959355 | + | 0.282202i | \(0.0910650\pi\) | |||||||
\(368\) | −9.00732 | − | 5.20038i | −0.469539 | − | 0.271088i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.00381i | 0.364111i | ||||||||
\(371\) | 13.5217 | − | 7.06926i | 0.702011 | − | 0.367018i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.0581 | + | 17.4211i | −0.520789 | + | 0.902033i | 0.478919 | + | 0.877859i | \(0.341029\pi\) |
−0.999708 | + | 0.0241735i | \(0.992305\pi\) | |||||||
\(374\) | 3.85340 | 0.199255 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.66236i | 0.240443i | ||||||||
\(377\) | −9.93679 | −0.511771 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.4561 | −0.896660 | −0.448330 | − | 0.893868i | \(-0.647981\pi\) | ||||
−0.448330 | + | 0.893868i | \(0.647981\pi\) | |||||||
\(380\) | 14.9240i | 0.765584i | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.26039 | −0.0644872 | ||||||||
\(383\) | 14.0317 | − | 24.3036i | 0.716985 | − | 1.24185i | −0.245204 | − | 0.969471i | \(-0.578855\pi\) |
0.962189 | − | 0.272383i | \(-0.0878117\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −26.6377 | − | 16.9041i | −1.35758 | − | 0.861515i | ||||
\(386\) | − | 6.86037i | − | 0.349183i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.54517 | + | 5.51091i | 0.484583 | + | 0.279774i | ||||
\(389\) | 29.6520 | − | 17.1196i | 1.50342 | − | 0.867999i | 0.503426 | − | 0.864038i | \(-0.332072\pi\) |
0.999992 | − | 0.00396103i | \(-0.00126084\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.68710 | + | 5.01550i | −0.439325 | + | 0.253645i | ||||
\(392\) | 7.28437 | − | 3.42807i | 0.367916 | − | 0.173144i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.51918 | 0.278052 | ||||||||
\(395\) | 14.1968 | − | 24.5896i | 0.714320 | − | 1.23724i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.2926 | + | 6.51981i | −0.566762 | + | 0.327220i | −0.755855 | − | 0.654739i | \(-0.772778\pi\) |
0.189093 | + | 0.981959i | \(0.439445\pi\) | |||||||
\(398\) | 0.666662 | − | 1.15469i | 0.0334167 | − | 0.0578795i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.61585 | − | 13.1910i | −0.380792 | − | 0.659552i | ||||
\(401\) | 15.8943 | + | 9.17659i | 0.793725 | + | 0.458257i | 0.841272 | − | 0.540612i | \(-0.181807\pi\) |
−0.0475475 | + | 0.998869i | \(0.515141\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.553877 | + | 0.959344i | 0.0275906 | + | 0.0477883i | ||||
\(404\) | −16.4171 | − | 28.4353i | −0.816782 | − | 1.41471i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.52756 | − | 2.92182i | −0.0758113 | − | 0.145007i | ||||
\(407\) | −26.2798 | − | 15.1727i | −1.30264 | − | 0.752081i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 6.46786i | − | 0.319815i | −0.987132 | − | 0.159907i | \(-0.948880\pi\) | ||
0.987132 | − | 0.159907i | \(-0.0511196\pi\) | |||||||
\(410\) | 5.62501i | 0.277800i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 16.2740 | + | 9.39581i | 0.801764 | + | 0.462899i | ||||
\(413\) | −6.64448 | + | 10.4704i | −0.326953 | + | 0.515216i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.8119 | − | 29.1191i | −0.825265 | − | 1.42940i | ||||
\(416\) | −3.89642 | − | 6.74880i | −0.191038 | − | 0.330887i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.52709 | + | 1.45902i | 0.123604 | + | 0.0713629i | ||||
\(419\) | −7.11542 | − | 12.3243i | −0.347611 | − | 0.602080i | 0.638214 | − | 0.769859i | \(-0.279674\pi\) |
−0.985825 | + | 0.167779i | \(0.946340\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.1718 | − | 26.2784i | 0.739429 | − | 1.28073i | −0.213324 | − | 0.976982i | \(-0.568429\pi\) |
0.952753 | − | 0.303747i | \(-0.0982378\pi\) | |||||||
\(422\) | 1.75170 | − | 1.01135i | 0.0852716 | − | 0.0492316i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.31633 | − | 5.74405i | 0.161055 | − | 0.278956i | ||||
\(425\) | −14.6902 | −0.712579 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.57466 | − | 2.26846i | −0.172990 | − | 0.109779i | ||||
\(428\) | 5.75051 | − | 3.32006i | 0.277962 | − | 0.160481i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.21177 | + | 1.85432i | −0.154885 | + | 0.0894230i | ||||
\(431\) | 2.12663 | + | 1.22781i | 0.102436 | + | 0.0591415i | 0.550343 | − | 0.834939i | \(-0.314497\pi\) |
−0.447907 | + | 0.894080i | \(0.647830\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.4545i | 0.598525i | 0.954171 | + | 0.299262i | \(0.0967406\pi\) | ||||
−0.954171 | + | 0.299262i | \(0.903259\pi\) | |||||||
\(434\) | −0.196940 | + | 0.310340i | −0.00945342 | + | 0.0148968i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.16936 | − | 2.02539i | 0.0560022 | − | 0.0969987i | ||||
\(437\) | −7.59610 | −0.363371 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.5300i | 0.836663i | 0.908294 | + | 0.418331i | \(0.137385\pi\) | ||||
−0.908294 | + | 0.418331i | \(0.862615\pi\) | |||||||
\(440\) | −13.7141 | −0.653794 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.31739 | −0.110227 | ||||||||
\(443\) | − | 9.00464i | − | 0.427824i | −0.976853 | − | 0.213912i | \(-0.931379\pi\) | ||
0.976853 | − | 0.213912i | \(-0.0686205\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −13.2111 | −0.626266 | ||||||||
\(446\) | −0.945337 | + | 1.63737i | −0.0447630 | + | 0.0775318i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.50761 | + | 13.4064i | −0.401947 | + | 0.633392i | ||||
\(449\) | 30.8120i | 1.45411i | 0.686581 | + | 0.727054i | \(0.259111\pi\) | ||||
−0.686581 | + | 0.727054i | \(0.740889\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −21.1063 | − | 12.1857i | −0.993856 | − | 0.573803i | ||||
\(452\) | 3.59154 | − | 2.07357i | 0.168932 | − | 0.0975327i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −5.02371 | + | 2.90044i | −0.235775 | + | 0.136125i | ||||
\(455\) | 16.0196 | + | 10.1659i | 0.751009 | + | 0.476586i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 13.8286 | 0.646874 | 0.323437 | − | 0.946250i | \(-0.395162\pi\) | ||||
0.323437 | + | 0.946250i | \(0.395162\pi\) | |||||||
\(458\) | −1.60260 | + | 2.77578i | −0.0748846 | + | 0.129704i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 15.1174 | − | 8.72803i | 0.704852 | − | 0.406947i | ||||
\(461\) | −6.16989 | + | 10.6866i | −0.287360 | + | 0.497723i | −0.973179 | − | 0.230050i | \(-0.926111\pi\) |
0.685818 | + | 0.727773i | \(0.259444\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.37802 | + | 11.0471i | 0.296412 | + | 0.513401i | 0.975312 | − | 0.220830i | \(-0.0708765\pi\) |
−0.678900 | + | 0.734230i | \(0.737543\pi\) | |||||||
\(464\) | 12.8141 | + | 7.39825i | 0.594882 | + | 0.343455i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.05303 | − | 5.28801i | −0.141429 | − | 0.244962i | ||||
\(467\) | 5.48999 | + | 9.50894i | 0.254046 | + | 0.440021i | 0.964636 | − | 0.263585i | \(-0.0849051\pi\) |
−0.710590 | + | 0.703607i | \(0.751572\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.23370 | + | 3.51988i | −0.103143 | + | 0.162533i | ||||
\(470\) | −3.15730 | − | 1.82287i | −0.145635 | − | 0.0840825i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.39057i | 0.248121i | ||||||||
\(473\) | − | 16.0683i | − | 0.738823i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.63396 | − | 5.56217i | −0.442036 | − | 0.255210i | ||||
\(476\) | 7.89406 | + | 15.0993i | 0.361824 | + | 0.692075i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.01665 | − | 6.95704i | −0.183717 | − | 0.318208i | ||||
\(479\) | 5.59729 | + | 9.69478i | 0.255747 | + | 0.442966i | 0.965098 | − | 0.261889i | \(-0.0843454\pi\) |
−0.709351 | + | 0.704855i | \(0.751012\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.8043 | + | 9.12464i | 0.720616 | + | 0.416048i | ||||
\(482\) | −3.13352 | − | 5.42741i | −0.142728 | − | 0.247212i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.00191 | − | 6.93152i | 0.181905 | − | 0.315069i | ||||
\(485\) | −15.2645 | + | 8.81298i | −0.693126 | + | 0.400177i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.48332 | + | 2.56919i | −0.0672158 | + | 0.116421i | −0.897675 | − | 0.440659i | \(-0.854745\pi\) |
0.830459 | + | 0.557080i | \(0.188078\pi\) | |||||||
\(488\) | −1.84037 | −0.0833097 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.526553 | + | 6.27318i | −0.0237872 | + | 0.283393i | ||||
\(491\) | 20.1795 | − | 11.6507i | 0.910690 | − | 0.525787i | 0.0300367 | − | 0.999549i | \(-0.490438\pi\) |
0.880653 | + | 0.473762i | \(0.157104\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.3586 | − | 7.13524i | 0.556603 | − | 0.321355i | ||||
\(494\) | −1.51976 | − | 0.877435i | −0.0683773 | − | 0.0394776i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 1.64952i | − | 0.0740654i | ||||||
\(497\) | −30.4107 | − | 19.2985i | −1.36411 | − | 0.865654i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.29296 | − | 3.97152i | 0.102647 | − | 0.177790i | −0.810127 | − | 0.586254i | \(-0.800602\pi\) |
0.912774 | + | 0.408464i | \(0.133935\pi\) | |||||||
\(500\) | −3.71723 | −0.166240 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.85751i | 0.350698i | ||||||||
\(503\) | 23.1383 | 1.03169 | 0.515844 | − | 0.856683i | \(-0.327479\pi\) | ||||
0.515844 | + | 0.856683i | \(0.327479\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 52.5081 | 2.33658 | ||||||||
\(506\) | − | 3.41313i | − | 0.151732i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.26039 | 0.233392 | ||||||||
\(509\) | −4.82853 | + | 8.36326i | −0.214021 | + | 0.370695i | −0.952969 | − | 0.303067i | \(-0.901989\pi\) |
0.738948 | + | 0.673762i | \(0.235323\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.31873 | − | 1.21226i | 0.102575 | − | 0.0536271i | ||||
\(512\) | 19.6301i | 0.867536i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.776931 | + | 0.448561i | 0.0342690 | + | 0.0197852i | ||||
\(515\) | −26.0252 | + | 15.0257i | −1.14681 | + | 0.662110i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 13.6796 | − | 7.89791i | 0.601627 | − | 0.347350i | ||||
\(518\) | −0.253457 | + | 6.04982i | −0.0111362 | + | 0.265814i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 8.24748 | 0.361676 | ||||||||
\(521\) | −5.00035 | + | 8.66086i | −0.219069 | + | 0.379439i | −0.954524 | − | 0.298135i | \(-0.903635\pi\) |
0.735454 | + | 0.677574i | \(0.236969\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.7796 | + | 6.22361i | −0.471359 | + | 0.272139i | −0.716809 | − | 0.697270i | \(-0.754398\pi\) |
0.245449 | + | 0.969409i | \(0.421065\pi\) | |||||||
\(524\) | 7.15531 | − | 12.3934i | 0.312581 | − | 0.541406i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.38289 | − | 4.12729i | −0.103899 | − | 0.179959i | ||||
\(527\) | −1.37774 | − | 0.795437i | −0.0600152 | − | 0.0346498i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.05755 | − | 12.2240i | −0.306850 | − | 0.531480i | ||||
\(530\) | 2.59320 | + | 4.49156i | 0.112641 | + | 0.195101i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.540075 | + | 12.8912i | −0.0234152 | + | 0.558904i | ||||
\(533\) | 12.6930 | + | 7.32833i | 0.549797 | + | 0.317425i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.6188i | 0.459091i | ||||||||
\(536\) | 1.81217i | 0.0782737i | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.154356 | − | 0.0891175i | −0.00665476 | − | 0.00384213i | ||||
\(539\) | −22.3977 | − | 15.5656i | −0.964735 | − | 0.670458i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.96514 | + | 12.0640i | 0.299455 | + | 0.518671i | 0.976011 | − | 0.217720i | \(-0.0698619\pi\) |
−0.676557 | + | 0.736391i | \(0.736529\pi\) | |||||||
\(542\) | 3.37547 | + | 5.84648i | 0.144989 | + | 0.251128i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 9.69211 | + | 5.59574i | 0.415546 | + | 0.239916i | ||||
\(545\) | 1.87003 | + | 3.23898i | 0.0801032 | + | 0.138743i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −21.6768 | + | 37.5454i | −0.926834 | + | 1.60532i | −0.138250 | + | 0.990397i | \(0.544148\pi\) |
−0.788584 | + | 0.614926i | \(0.789186\pi\) | |||||||
\(548\) | 20.2331 | − | 11.6816i | 0.864316 | − | 0.499013i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.49923 | − | 4.32879i | 0.106567 | − | 0.184580i | ||||
\(551\) | 10.8065 | 0.460372 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.1529 | − | 20.7265i | 0.559320 | − | 0.881382i | ||||
\(554\) | 3.38062 | − | 1.95180i | 0.143629 | − | 0.0829241i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −22.1026 | + | 12.7610i | −0.937361 | + | 0.541186i | ||||
\(557\) | 31.1339 | + | 17.9752i | 1.31919 | + | 0.761632i | 0.983598 | − | 0.180377i | \(-0.0577317\pi\) |
0.335588 | + | 0.942009i | \(0.391065\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.66329i | 0.408714i | ||||||||
\(560\) | −13.0894 | − | 25.0367i | −0.553129 | − | 1.05799i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.964340 | − | 1.67029i | 0.0406782 | − | 0.0704568i | ||||
\(563\) | −6.11108 | −0.257551 | −0.128776 | − | 0.991674i | \(-0.541105\pi\) | ||||
−0.128776 | + | 0.991674i | \(0.541105\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.63207i | 0.279013i | ||||||||
\(566\) | −0.873481 | −0.0367151 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −15.6566 | −0.656935 | ||||||||
\(569\) | − | 19.3045i | − | 0.809285i | −0.914475 | − | 0.404642i | \(-0.867396\pi\) | ||
0.914475 | − | 0.404642i | \(-0.132604\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.7224 | 0.532415 | 0.266207 | − | 0.963916i | \(-0.414229\pi\) | ||||
0.266207 | + | 0.963916i | \(0.414229\pi\) | |||||||
\(572\) | −8.73631 | + | 15.1317i | −0.365284 | + | 0.632690i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.203560 | + | 4.85883i | −0.00849644 | + | 0.202804i | ||||
\(575\) | 13.0118i | 0.542628i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.05520 | + | 4.07332i | 0.293712 | + | 0.169575i | 0.639615 | − | 0.768696i | \(-0.279094\pi\) |
−0.345903 | + | 0.938270i | \(0.612427\pi\) | |||||||
\(578\) | −1.44429 | + | 0.833863i | −0.0600747 | + | 0.0346841i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −21.5066 | + | 12.4168i | −0.893012 | + | 0.515581i | ||||
\(581\) | −13.4682 | − | 25.7612i | −0.558755 | − | 1.06875i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −22.4711 | −0.930657 | ||||||||
\(584\) | 0.568693 | − | 0.985005i | 0.0235327 | − | 0.0407598i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.54270 | − | 0.890680i | 0.0637285 | − | 0.0367937i | ||||
\(587\) | −12.3041 | + | 21.3113i | −0.507843 | + | 0.879610i | 0.492116 | + | 0.870530i | \(0.336224\pi\) |
−0.999959 | + | 0.00908019i | \(0.997110\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.602354 | − | 1.04331i | −0.0248196 | − | 0.0429888i | ||||
\(590\) | −3.65043 | − | 2.10758i | −0.150286 | − | 0.0867676i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −13.5872 | − | 23.5336i | −0.558429 | − | 0.967227i | ||||
\(593\) | 18.9321 | + | 32.7913i | 0.777447 | + | 1.34658i | 0.933409 | + | 0.358814i | \(0.116819\pi\) |
−0.155962 | + | 0.987763i | \(0.549848\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −27.2236 | − | 1.14053i | −1.11606 | − | 0.0467572i | ||||
\(596\) | 14.0428 | + | 8.10762i | 0.575216 | + | 0.332101i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.05261i | 0.0839375i | ||||||||
\(599\) | 10.6529i | 0.435268i | 0.976030 | + | 0.217634i | \(0.0698339\pi\) | ||||
−0.976030 | + | 0.217634i | \(0.930166\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 39.8636 | + | 23.0153i | 1.62607 | + | 0.938812i | 0.985250 | + | 0.171122i | \(0.0547391\pi\) |
0.640821 | + | 0.767691i | \(0.278594\pi\) | |||||||
\(602\) | −2.84140 | + | 1.48551i | −0.115807 | + | 0.0605449i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.21161 | + | 5.56267i | 0.130679 | + | 0.226342i | ||||
\(605\) | 6.39981 | + | 11.0848i | 0.260189 | + | 0.450661i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.74063 | + | 2.15965i | 0.151827 | + | 0.0876576i | 0.573989 | − | 0.818863i | \(-0.305395\pi\) |
−0.422162 | + | 0.906521i | \(0.638729\pi\) | |||||||
\(608\) | 4.23745 | + | 7.33947i | 0.171851 | + | 0.297655i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.719539 | − | 1.24628i | 0.0291333 | − | 0.0504603i | ||||
\(611\) | −8.22672 | + | 4.74970i | −0.332818 | + | 0.192152i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.3838 | − | 24.9135i | 0.580956 | − | 1.00624i | −0.414411 | − | 0.910090i | \(-0.636012\pi\) |
0.995366 | − | 0.0961549i | \(-0.0306544\pi\) | |||||||
\(614\) | 6.34846 | 0.256203 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.8461 | − | 0.496291i | −0.477293 | − | 0.0199961i | ||||
\(617\) | −0.935498 | + | 0.540110i | −0.0376617 | + | 0.0217440i | −0.518713 | − | 0.854949i | \(-0.673589\pi\) |
0.481051 | + | 0.876693i | \(0.340255\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.57128 | + | 3.79393i | −0.264122 | + | 0.152491i | −0.626214 | − | 0.779652i | \(-0.715396\pi\) |
0.362091 | + | 0.932143i | \(0.382063\pi\) | |||||||
\(620\) | 2.39755 | + | 1.38423i | 0.0962881 | + | 0.0555920i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 3.23944i | − | 0.129890i | ||||||
\(623\) | −11.4116 | − | 0.478089i | −0.457197 | − | 0.0191542i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.8854 | − | 24.0502i | 0.555416 | − | 0.962010i | ||||
\(626\) | −3.98316 | −0.159199 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 31.9741i | − | 1.27591i | ||||||
\(629\) | −26.2082 | −1.04499 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.0387 | 1.39487 | 0.697435 | − | 0.716648i | \(-0.254325\pi\) | ||||
0.697435 | + | 0.716648i | \(0.254325\pi\) | |||||||
\(632\) | − | 10.6708i | − | 0.424462i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.27786 | −0.130181 | ||||||||
\(635\) | −4.20618 | + | 7.28531i | −0.166917 | + | 0.289109i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 13.4697 | + | 9.36096i | 0.533687 | + | 0.370895i | ||||
\(638\) | 4.85564i | 0.192237i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −22.3015 | − | 12.8758i | −0.881544 | − | 0.508960i | ||||
\(641\) | −26.9229 | + | 15.5439i | −1.06339 | + | 0.613949i | −0.926368 | − | 0.376619i | \(-0.877087\pi\) |
−0.137023 | + | 0.990568i | \(0.543753\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.977928 | − | 0.564607i | 0.0385657 | − | 0.0222659i | −0.480593 | − | 0.876944i | \(-0.659579\pi\) |
0.519159 | + | 0.854678i | \(0.326245\pi\) | |||||||
\(644\) | 13.3741 | − | 6.99212i | 0.527014 | − | 0.275528i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.52021 | 0.0991564 | ||||||||
\(647\) | 13.5992 | − | 23.5545i | 0.534640 | − | 0.926023i | −0.464541 | − | 0.885552i | \(-0.653781\pi\) |
0.999181 | − | 0.0404713i | \(-0.0128859\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.8162 | − | 9.13148i | 0.620839 | − | 0.358442i | ||||
\(650\) | −1.50300 | + | 2.60328i | −0.0589526 | + | 0.102109i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 24.2386 | + | 41.9824i | 0.949256 | + | 1.64416i | ||||
\(653\) | 19.3030 | + | 11.1446i | 0.755384 | + | 0.436121i | 0.827636 | − | 0.561265i | \(-0.189685\pi\) |
−0.0722517 | + | 0.997386i | \(0.523019\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.4427 | + | 19.8193i | 0.447102 | + | 0.774404i | ||||
\(656\) | −10.9123 | − | 18.9007i | −0.426055 | − | 0.737949i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.66128 | − | 1.68883i | −0.103747 | − | 0.0658375i | ||||
\(659\) | 7.69208 | + | 4.44103i | 0.299641 | + | 0.172998i | 0.642282 | − | 0.766469i | \(-0.277988\pi\) |
−0.342641 | + | 0.939467i | \(0.611321\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.3670i | 0.753291i | 0.926358 | + | 0.376645i | \(0.122922\pi\) | ||||
−0.926358 | + | 0.376645i | \(0.877078\pi\) | |||||||
\(662\) | − | 5.58945i | − | 0.217240i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.9434 | − | 6.31819i | −0.424687 | − | 0.245193i | ||||
\(665\) | −17.4216 | − | 11.0557i | −0.675583 | − | 0.428721i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.31999 | − | 10.9465i | −0.244711 | − | 0.423852i | ||||
\(668\) | −1.67602 | − | 2.90295i | −0.0648472 | − | 0.112319i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.22718 | − | 0.708512i | −0.0474101 | − | 0.0273722i | ||||
\(671\) | 3.11754 | + | 5.39973i | 0.120351 | + | 0.208454i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.5828 | − | 20.0620i | 0.446484 | − | 0.773333i | −0.551670 | − | 0.834062i | \(-0.686009\pi\) |
0.998154 | + | 0.0607292i | \(0.0193426\pi\) | |||||||
\(674\) | −1.69310 | + | 0.977511i | −0.0652157 | + | 0.0376523i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.18476 | + | 12.4444i | −0.276337 | + | 0.478630i | ||||
\(677\) | −3.12693 | −0.120177 | −0.0600887 | − | 0.998193i | \(-0.519138\pi\) | ||||
−0.0600887 | + | 0.998193i | \(0.519138\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13.5043 | + | 7.06017i | −0.518247 | + | 0.270944i | ||||
\(680\) | −10.2576 | + | 5.92220i | −0.393359 | + | 0.227106i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.468786 | − | 0.270654i | 0.0179507 | − | 0.0103639i | ||||
\(683\) | 27.1966 | + | 15.7020i | 1.04065 | + | 0.600819i | 0.920017 | − | 0.391878i | \(-0.128175\pi\) |
0.120632 | + | 0.992697i | \(0.461508\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 37.3621i | 1.42753i | ||||||||
\(686\) | −0.681848 | + | 5.39966i | −0.0260331 | + | 0.206160i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.19462 | − | 12.4614i | 0.274292 | − | 0.475088i | ||||
\(689\) | 13.5138 | 0.514835 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 44.1739i | − | 1.68045i | −0.542235 | − | 0.840227i | \(-0.682422\pi\) | ||
0.542235 | − | 0.840227i | \(-0.317578\pi\) | |||||||
\(692\) | −45.7868 | −1.74055 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 7.83164 | 0.297285 | ||||||||
\(695\) | − | 40.8144i | − | 1.54818i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −21.0488 | −0.797280 | ||||||||
\(698\) | 3.48043 | − | 6.02828i | 0.131736 | − | 0.228174i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 22.0820 | + | 0.925123i | 0.834621 | + | 0.0349664i | ||||
\(701\) | − | 9.69906i | − | 0.366328i | −0.983082 | − | 0.183164i | \(-0.941366\pi\) | ||
0.983082 | − | 0.183164i | \(-0.0586340\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.1876 | − | 9.92326i | −0.648242 | − | 0.374263i | ||||
\(704\) | 20.2511 | − | 11.6920i | 0.763242 | − | 0.440658i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.16775 | − | 0.674202i | 0.0439490 | − | 0.0253739i | ||||
\(707\) | 45.3560 | + | 1.90019i | 1.70579 | + | 0.0714638i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.09786 | −0.0412311 | −0.0206156 | − | 0.999787i | \(-0.506563\pi\) | ||||
−0.0206156 | + | 0.999787i | \(0.506563\pi\) | |||||||
\(710\) | 6.12132 | − | 10.6024i | 0.229729 | − | 0.397903i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.29977 | + | 2.48247i | −0.161141 | + | 0.0930346i | ||||
\(713\) | −0.704553 | + | 1.22032i | −0.0263857 | + | 0.0457014i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −13.9710 | − | 24.1985i | −0.522486 | − | 0.904972i | ||||
\(716\) | −42.0728 | − | 24.2908i | −1.57233 | − | 0.907788i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.900826 | + | 1.56028i | 0.0336185 | + | 0.0582290i | ||||
\(719\) | −11.3648 | − | 19.6844i | −0.423835 | − | 0.734103i | 0.572476 | − | 0.819921i | \(-0.305983\pi\) |
−0.996311 | + | 0.0858183i | \(0.972650\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −23.0241 | + | 12.0372i | −0.857462 | + | 0.448289i | ||||
\(722\) | −3.18269 | − | 1.83753i | −0.118448 | − | 0.0683858i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 42.8718i | − | 1.59332i | ||||||
\(725\) | − | 18.5110i | − | 0.687482i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.47919 | − | 2.00871i | −0.129036 | − | 0.0744990i | 0.434093 | − | 0.900868i | \(-0.357069\pi\) |
−0.563129 | + | 0.826369i | \(0.690402\pi\) | |||||||
\(728\) | 7.12409 | + | 0.298463i | 0.264036 | + | 0.0110618i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.444689 | + | 0.770224i | 0.0164587 | + | 0.0285073i | ||||
\(731\) | −6.93885 | − | 12.0184i | −0.256643 | − | 0.444518i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.20188 | − | 4.15801i | −0.266008 | − | 0.153580i | 0.361064 | − | 0.932541i | \(-0.382413\pi\) |
−0.627072 | + | 0.778961i | \(0.715747\pi\) | |||||||
\(734\) | 3.88296 | + | 6.72549i | 0.143323 | + | 0.248242i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.95640 | − | 8.58473i | 0.182695 | − | 0.316437i | ||||
\(737\) | 5.31698 | − | 3.06976i | 0.195854 | − | 0.113076i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.28507 | + | 3.95785i | −0.0840576 | + | 0.145592i | −0.904989 | − | 0.425434i | \(-0.860121\pi\) |
0.820932 | + | 0.571026i | \(0.193455\pi\) | |||||||
\(740\) | 45.6079 | 1.67658 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.07744 | + | 3.97361i | 0.0762653 | + | 0.145876i | ||||
\(743\) | −1.51258 | + | 0.873286i | −0.0554910 | + | 0.0320378i | −0.527489 | − | 0.849562i | \(-0.676866\pi\) |
0.471998 | + | 0.881600i | \(0.343533\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.4571 | + | 12.9656i | −0.822764 | + | 0.475023i | ||||
\(746\) | −5.11954 | − | 2.95577i | −0.187440 | − | 0.108218i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 25.0929i | − | 0.917486i | ||||||
\(749\) | −0.384277 | + | 9.17242i | −0.0140412 | + | 0.335153i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.91647 | + | 5.05147i | −0.106423 | + | 0.184331i | −0.914319 | − | 0.404995i | \(-0.867273\pi\) |
0.807895 | + | 0.589326i | \(0.200607\pi\) | |||||||
\(752\) | 14.1452 | 0.515822 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 2.92012i | − | 0.106345i | ||||||
\(755\) | −10.2719 | −0.373834 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.0967 | −1.53003 | −0.765015 | − | 0.644013i | \(-0.777268\pi\) | ||||
−0.765015 | + | 0.644013i | \(0.777268\pi\) | |||||||
\(758\) | − | 5.12982i | − | 0.186323i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.96932 | −0.325352 | ||||||||
\(761\) | −0.293431 | + | 0.508238i | −0.0106369 | + | 0.0184236i | −0.871295 | − | 0.490760i | \(-0.836719\pi\) |
0.860658 | + | 0.509184i | \(0.170053\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.49810 | + | 2.86547i | 0.0542348 | + | 0.103737i | ||||
\(764\) | 8.20750i | 0.296937i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.14208 | + | 4.12348i | 0.258054 | + | 0.148987i | ||||
\(767\) | −9.51165 | + | 5.49155i | −0.343446 | + | 0.198288i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −45.1905 | + | 26.0907i | −1.62961 | + | 0.940856i | −0.645403 | + | 0.763843i | \(0.723310\pi\) |
−0.984208 | + | 0.177014i | \(0.943356\pi\) | |||||||
\(770\) | 4.96761 | − | 7.82800i | 0.179020 | − | 0.282102i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −44.6738 | −1.60785 | ||||||||
\(773\) | 16.3906 | − | 28.3894i | 0.589530 | − | 1.02110i | −0.404764 | − | 0.914421i | \(-0.632646\pi\) |
0.994294 | − | 0.106674i | \(-0.0340202\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.78714 | + | 1.03180i | −0.0641959 | + | 0.0370635i | ||||
\(776\) | −3.31206 | + | 5.73666i | −0.118896 | + | 0.205934i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.03093 | + | 8.71383i | 0.180368 | + | 0.312406i | ||||
\(779\) | −13.8040 | − | 7.96973i | −0.494579 | − | 0.285545i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 26.5218 | + | 45.9371i | 0.949024 | + | 1.64376i | ||||
\(782\) | −1.47390 | − | 2.55287i | −0.0527066 | − | 0.0912906i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −10.4005 | − | 22.1001i | −0.371446 | − | 0.789291i | ||||
\(785\) | 44.2821 | + | 25.5663i | 1.58050 | + | 0.912500i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 40.9934i | − | 1.46126i | −0.682775 | − | 0.730628i | \(-0.739227\pi\) | ||
0.682775 | − | 0.730628i | \(-0.260773\pi\) | |||||||
\(788\) | − | 35.9402i | − | 1.28032i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 7.22614 | + | 4.17201i | 0.257095 | + | 0.148434i | ||||
\(791\) | −0.240004 | + | 5.72872i | −0.00853356 | + | 0.203690i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.87485 | − | 3.24733i | −0.0665778 | − | 0.115316i | ||||
\(794\) | −1.91597 | − | 3.31856i | −0.0679954 | − | 0.117771i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −7.51921 | − | 4.34122i | −0.266511 | − | 0.153870i | ||||
\(797\) | 17.0441 | + | 29.5213i | 0.603734 | + | 1.04570i | 0.992250 | + | 0.124256i | \(0.0396544\pi\) |
−0.388516 | + | 0.921442i | \(0.627012\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.82116 | − | 11.8146i | 0.241315 | − | 0.417971i | ||||
\(800\) | 12.5722 | − | 7.25854i | 0.444493 | − | 0.256628i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.69672 | + | 4.67086i | −0.0952245 | + | 0.164934i | ||||
\(803\) | −3.85340 | −0.135984 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.01022 | + | 24.1132i | −0.0356055 | + | 0.849877i | ||||
\(806\) | −0.281922 | + | 0.162768i | −0.00993027 | + | 0.00573324i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 17.0896 | − | 9.86670i | 0.601211 | − | 0.347109i | ||||
\(809\) | 6.01547 | + | 3.47304i | 0.211493 | + | 0.122105i | 0.602005 | − | 0.798492i | \(-0.294369\pi\) |
−0.390512 | + | 0.920598i | \(0.627702\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 39.8573i | 1.39958i | 0.714350 | + | 0.699789i | \(0.246723\pi\) | ||||
−0.714350 | + | 0.699789i | \(0.753277\pi\) | |||||||
\(812\) | −19.0265 | + | 9.94725i | −0.667700 | + | 0.349080i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.45878 | − | 7.72284i | 0.156280 | − | 0.270685i | ||||
\(815\) | −77.5240 | −2.71555 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 10.5091i | − | 0.367665i | ||||||
\(818\) | 1.90071 | 0.0664566 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 36.6294 | 1.27915 | ||||||||
\(821\) | 42.1017i | 1.46936i | 0.678414 | + | 0.734680i | \(0.262668\pi\) | ||||
−0.678414 | + | 0.734680i | \(0.737332\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 32.6821 | 1.13923 | 0.569614 | − | 0.821913i | \(-0.307093\pi\) | ||||
0.569614 | + | 0.821913i | \(0.307093\pi\) | |||||||
\(824\) | −5.64689 | + | 9.78070i | −0.196719 | + | 0.340727i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.07694 | − | 1.95261i | −0.107060 | − | 0.0679399i | ||||
\(827\) | − | 31.4399i | − | 1.09327i | −0.837370 | − | 0.546637i | \(-0.815908\pi\) | ||
0.837370 | − | 0.546637i | \(-0.184092\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 35.7122 | + | 20.6185i | 1.24034 | + | 0.716109i | 0.969163 | − | 0.246421i | \(-0.0792547\pi\) |
0.271174 | + | 0.962530i | \(0.412588\pi\) | |||||||
\(830\) | 8.55721 | − | 4.94051i | 0.297025 | − | 0.171488i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −12.1788 | + | 7.03141i | −0.422222 | + | 0.243770i | ||||
\(833\) | −23.4742 | − | 1.97036i | −0.813334 | − | 0.0682689i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.36054 | 0.185509 | ||||||||
\(836\) | 9.50094 | − | 16.4561i | 0.328597 | − | 0.569147i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 3.62173 | − | 2.09100i | 0.125110 | − | 0.0722326i | ||||
\(839\) | 4.04385 | − | 7.00416i | 0.139609 | − | 0.241810i | −0.787740 | − | 0.616009i | \(-0.788749\pi\) |
0.927349 | + | 0.374198i | \(0.122082\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.50894 | − | 9.54177i | −0.189963 | − | 0.329026i | ||||
\(842\) | 7.72241 | + | 4.45853i | 0.266132 | + | 0.153651i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.58576 | − | 11.4069i | −0.226691 | − | 0.392641i | ||||
\(845\) | −11.4898 | − | 19.9009i | −0.395260 | − | 0.684611i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.12695 | + | 9.80654i | 0.176164 | + | 0.336957i | ||||
\(848\) | −17.4269 | − | 10.0615i | −0.598444 | − | 0.345512i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 4.31700i | − | 0.148072i | ||||||
\(851\) | 23.2138i | 0.795759i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −24.5887 | − | 14.1963i | −0.841900 | − | 0.486071i | 0.0160098 | − | 0.999872i | \(-0.494904\pi\) |
−0.857910 | + | 0.513801i | \(0.828237\pi\) | |||||||
\(854\) | 0.666631 | − | 1.05048i | 0.0228117 | − | 0.0359468i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.99536 | + | 3.45606i | 0.0682000 | + | 0.118126i | ||||
\(857\) | 25.6587 | + | 44.4422i | 0.876485 | + | 1.51812i | 0.855172 | + | 0.518344i | \(0.173451\pi\) |
0.0213132 | + | 0.999773i | \(0.493215\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.5234 | + | 8.38509i | 0.495532 | + | 0.286096i | 0.726867 | − | 0.686779i | \(-0.240976\pi\) |
−0.231334 | + | 0.972874i | \(0.574309\pi\) | |||||||
\(860\) | 12.0751 | + | 20.9146i | 0.411756 | + | 0.713183i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.360816 | + | 0.624951i | −0.0122894 | + | 0.0212859i | ||||
\(863\) | 14.2380 | − | 8.22033i | 0.484668 | − | 0.279823i | −0.237692 | − | 0.971341i | \(-0.576391\pi\) |
0.722360 | + | 0.691517i | \(0.243057\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 36.6109 | − | 63.4119i | 1.24481 | − | 2.15607i | ||||
\(866\) | −3.66000 | −0.124372 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.02089 | + | 1.28245i | 0.0685935 | + | 0.0435291i | ||||
\(869\) | −31.3086 | + | 18.0760i | −1.06207 | + | 0.613188i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.19757 | + | 1.84612i | −0.108345 | + | 0.0625532i | ||||
\(872\) | 1.21726 | + | 0.702787i | 0.0412217 | + | 0.0237994i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 2.23226i | − | 0.0755074i | ||||||
\(875\) | 2.75373 | − | 4.33934i | 0.0930929 | − | 0.146697i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.06175 | + | 5.30311i | −0.103388 | + | 0.179073i | −0.913078 | − | 0.407784i | \(-0.866302\pi\) |
0.809690 | + | 0.586857i | \(0.199635\pi\) | |||||||
\(878\) | −5.15154 | −0.173856 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 41.6074i | 1.40258i | ||||||||
\(881\) | −41.3283 | −1.39238 | −0.696192 | − | 0.717855i | \(-0.745124\pi\) | ||||
−0.696192 | + | 0.717855i | \(0.745124\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 24.2918 | 0.817483 | 0.408741 | − | 0.912650i | \(-0.365968\pi\) | ||||
0.408741 | + | 0.912650i | \(0.365968\pi\) | |||||||
\(884\) | 15.0905i | 0.507549i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.64619 | 0.0889005 | ||||||||
\(887\) | −3.35036 | + | 5.80299i | −0.112494 | + | 0.194845i | −0.916775 | − | 0.399404i | \(-0.869217\pi\) |
0.804281 | + | 0.594249i | \(0.202551\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.89690 | + | 6.14077i | −0.130698 | + | 0.205955i | ||||
\(890\) | − | 3.88234i | − | 0.130136i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.6624 | + | 6.15591i | 0.357002 | + | 0.206115i | ||||
\(893\) | 8.94675 | − | 5.16541i | 0.299392 | − | 0.172854i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 67.2823 | − | 38.8455i | 2.24900 | − | 1.29846i | ||||
\(896\) | −18.7979 | − | 11.9290i | −0.627993 | − | 0.398521i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.05470 | −0.302159 | ||||||||
\(899\) | 1.00232 | − | 1.73608i | 0.0334294 | − | 0.0579014i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −16.8074 | + | 9.70376i | −0.559936 | + | 0.323279i | ||||
\(902\) | 3.58101 | − | 6.20249i | 0.119235 | − | 0.206520i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.24622 | + | 2.15852i | 0.0414487 | + | 0.0717912i | ||||
\(905\) | 59.3747 | + | 34.2800i | 1.97368 | + | 1.13951i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.1494 | − | 17.5793i | −0.337005 | − | 0.583710i | 0.646863 | − | 0.762606i | \(-0.276081\pi\) |
−0.983868 | + | 0.178897i | \(0.942747\pi\) | |||||||
\(908\) | 18.8873 | + | 32.7138i | 0.626798 | + | 1.08565i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.98746 | + | 4.70766i | −0.0990332 | + | 0.156057i | ||||
\(911\) | 30.3982 | + | 17.5504i | 1.00714 | + | 0.581472i | 0.910353 | − | 0.413833i | \(-0.135810\pi\) |
0.0967861 | + | 0.995305i | \(0.469144\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 42.8114i | 1.41685i | ||||||||
\(914\) | 4.06380i | 0.134419i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 18.0756 | + | 10.4359i | 0.597233 | + | 0.344813i | ||||
\(917\) | 9.16685 | + | 17.5338i | 0.302716 | + | 0.579018i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.9132 | − | 29.2946i | −0.557916 | − | 0.966339i | −0.997670 | − | 0.0682206i | \(-0.978268\pi\) |
0.439754 | − | 0.898118i | \(-0.355066\pi\) | |||||||
\(920\) | 5.24555 | + | 9.08557i | 0.172941 | + | 0.299542i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.14046 | − | 1.81314i | −0.103425 | − | 0.0597127i | ||||
\(923\) | −15.9499 | − | 27.6260i | −0.524996 | − | 0.909320i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.9981 | + | 29.4415i | −0.558893 | + | 0.968031i | ||||
\(926\) | −3.24639 | + | 1.87431i | −0.106683 | + | 0.0615935i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −7.05115 | + | 12.2130i | −0.231465 | + | 0.400910i | ||||
\(929\) | −32.1171 | −1.05373 | −0.526864 | − | 0.849950i | \(-0.676632\pi\) | ||||
−0.526864 | + | 0.849950i | \(0.676632\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.6486 | − | 10.1803i | −0.480087 | − | 0.333644i | ||||
\(932\) | −34.4348 | + | 19.8810i | −1.12795 | + | 0.651222i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.79439 | + | 1.61334i | −0.0914351 | + | 0.0527901i | ||||
\(935\) | 34.7520 | + | 20.0641i | 1.13651 | + | 0.656166i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 13.9224i | − | 0.454824i | −0.973799 | − | 0.227412i | \(-0.926974\pi\) | ||
0.973799 | − | 0.227412i | \(-0.0730263\pi\) | |||||||
\(938\) | −1.03439 | − | 0.656416i | −0.0337739 | − | 0.0214327i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −11.8703 | + | 20.5599i | −0.387166 | + | 0.670590i | ||||
\(941\) | −57.2094 | −1.86497 | −0.932487 | − | 0.361203i | \(-0.882366\pi\) | ||||
−0.932487 | + | 0.361203i | \(0.882366\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.6438i | 0.607127i | ||||||||
\(944\) | 16.3545 | 0.532294 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.72200 | 0.153525 | ||||||||
\(947\) | − | 34.4861i | − | 1.12065i | −0.828274 | − | 0.560324i | \(-0.810677\pi\) | ||
0.828274 | − | 0.560324i | \(-0.189323\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.31739 | 0.0752255 | ||||||||
\(950\) | 1.63455 | − | 2.83113i | 0.0530318 | − | 0.0918538i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −9.07469 | + | 4.74434i | −0.294112 | + | 0.153765i | ||||
\(953\) | 2.58761i | 0.0838209i | 0.999121 | + | 0.0419104i | \(0.0133444\pi\) | ||||
−0.999121 | + | 0.0419104i | \(0.986656\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.3669 | − | 6.56267i | −0.367824 | − | 0.212363i | ||||
\(956\) | −45.3034 | + | 26.1559i | −1.46522 | + | 0.845943i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.84900 | + | 1.64487i | −0.0920470 | + | 0.0531434i | ||||
\(959\) | −1.35208 | + | 32.2731i | −0.0436608 | + | 1.04215i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.7765 | 0.992791 | ||||||||
\(962\) | −2.68145 | + | 4.64441i | −0.0864535 | + | 0.149742i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −35.3426 | + | 20.4051i | −1.13831 | + | 0.657203i | ||||
\(965\) | 35.7209 | − | 61.8704i | 1.14990 | − | 1.99168i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.79472 | + | 4.84059i | 0.0898721 | + | 0.155663i | 0.907457 | − | 0.420145i | \(-0.138021\pi\) |
−0.817585 | + | 0.575808i | \(0.804688\pi\) | |||||||
\(968\) | 4.16585 | + | 2.40515i | 0.133895 | + | 0.0773045i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.58986 | − | 4.48578i | −0.0831555 | − | 0.144030i | ||||
\(971\) | −8.01661 | − | 13.8852i | −0.257265 | − | 0.445597i | 0.708243 | − | 0.705969i | \(-0.249488\pi\) |
−0.965508 | + | 0.260372i | \(0.916155\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.47701 | − | 35.2551i | 0.0473507 | − | 1.13023i | ||||
\(974\) | −0.755007 | − | 0.435904i | −0.0241920 | − | 0.0139673i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.58353i | 0.178724i | ||||||||
\(977\) | − | 43.9026i | − | 1.40457i | −0.711896 | − | 0.702285i | \(-0.752163\pi\) | ||
0.711896 | − | 0.702285i | \(-0.247837\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.5674 | + | 8.41048i | 0.465576 | + | 0.268800i | ||||
\(980\) | 40.8502 | + | 3.42884i | 1.30491 | + | 0.109530i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.42377 | + | 5.93015i | 0.109257 | + | 0.189239i | ||||
\(983\) | 9.08808 | + | 15.7410i | 0.289865 | + | 0.502061i | 0.973777 | − | 0.227503i | \(-0.0730563\pi\) |
−0.683912 | + | 0.729564i | \(0.739723\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 49.7749 | + | 28.7376i | 1.58596 | + | 0.915655i | ||||
\(986\) | 2.09683 | + | 3.63181i | 0.0667766 | + | 0.115660i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.71374 | + | 9.89649i | −0.181778 | + | 0.314849i | ||||
\(989\) | −10.6453 | + | 6.14604i | −0.338499 | + | 0.195433i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.8146 | + | 41.2481i | −0.756496 | + | 1.31029i | 0.188131 | + | 0.982144i | \(0.439757\pi\) |
−0.944627 | + | 0.328145i | \(0.893576\pi\) | |||||||
\(992\) | 1.57213 | 0.0499151 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5.67123 | − | 8.93677i | 0.179880 | − | 0.283457i | ||||
\(995\) | 12.0246 | − | 6.94242i | 0.381206 | − | 0.220090i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 28.4838 | − | 16.4451i | 0.902090 | − | 0.520822i | 0.0242120 | − | 0.999707i | \(-0.492292\pi\) |
0.877878 | + | 0.478885i | \(0.158959\pi\) | |||||||
\(998\) | 1.16711 | + | 0.673830i | 0.0369442 | + | 0.0213297i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))