Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(81,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.j (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 81.15 | ||
Character | \(\chi\) | \(=\) | 287.81 |
Dual form | 287.2.j.a.163.15 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0647109 | + | 0.112083i | 0.0457575 | + | 0.0792543i | 0.887997 | − | 0.459849i | \(-0.152097\pi\) |
−0.842240 | + | 0.539103i | \(0.818763\pi\) | |||||||
\(3\) | −1.92881 | − | 1.11360i | −1.11360 | − | 0.642936i | −0.173839 | − | 0.984774i | \(-0.555617\pi\) |
−0.939759 | + | 0.341838i | \(0.888950\pi\) | |||||||
\(4\) | 0.991625 | − | 1.71754i | 0.495813 | − | 0.858772i | ||||
\(5\) | 0.451146 | + | 0.781409i | 0.201759 | + | 0.349457i | 0.949095 | − | 0.314989i | \(-0.102001\pi\) |
−0.747336 | + | 0.664446i | \(0.768668\pi\) | |||||||
\(6\) | − | 0.288247i | − | 0.117677i | ||||||
\(7\) | 2.43969 | − | 1.02368i | 0.922116 | − | 0.386913i | ||||
\(8\) | 0.515519 | 0.182264 | ||||||||
\(9\) | 0.980198 | + | 1.69775i | 0.326733 | + | 0.565918i | ||||
\(10\) | −0.0583882 | + | 0.101131i | −0.0184640 | + | 0.0319805i | ||||
\(11\) | −4.20583 | − | 2.42823i | −1.26810 | − | 0.732140i | −0.293475 | − | 0.955967i | \(-0.594812\pi\) |
−0.974629 | + | 0.223826i | \(0.928145\pi\) | |||||||
\(12\) | −3.82531 | + | 2.20854i | −1.10427 | + | 0.637551i | ||||
\(13\) | 1.67851i | 0.465535i | 0.972532 | + | 0.232768i | \(0.0747782\pi\) | ||||
−0.972532 | + | 0.232768i | \(0.925222\pi\) | |||||||
\(14\) | 0.272611 | + | 0.207204i | 0.0728583 | + | 0.0553775i | ||||
\(15\) | − | 2.00958i | − | 0.518872i | ||||||
\(16\) | −1.94989 | − | 3.37731i | −0.487473 | − | 0.844327i | ||||
\(17\) | −1.41711 | − | 0.818170i | −0.343700 | − | 0.198435i | 0.318207 | − | 0.948021i | \(-0.396919\pi\) |
−0.661907 | + | 0.749586i | \(0.730253\pi\) | |||||||
\(18\) | −0.126859 | + | 0.219726i | −0.0299009 | + | 0.0517899i | ||||
\(19\) | 4.89577 | − | 2.82658i | 1.12317 | − | 0.648461i | 0.180960 | − | 0.983491i | \(-0.442080\pi\) |
0.942208 | + | 0.335030i | \(0.108746\pi\) | |||||||
\(20\) | 1.78947 | 0.400138 | ||||||||
\(21\) | −5.84565 | − | 0.742358i | −1.27563 | − | 0.161996i | ||||
\(22\) | − | 0.628533i | − | 0.134004i | ||||||
\(23\) | −4.04340 | − | 7.00337i | −0.843106 | − | 1.46030i | −0.887256 | − | 0.461278i | \(-0.847391\pi\) |
0.0441490 | − | 0.999025i | \(-0.485942\pi\) | |||||||
\(24\) | −0.994337 | − | 0.574081i | −0.202968 | − | 0.117184i | ||||
\(25\) | 2.09293 | − | 3.62507i | 0.418587 | − | 0.725014i | ||||
\(26\) | −0.188132 | + | 0.108618i | −0.0368957 | + | 0.0213017i | ||||
\(27\) | 2.31540i | 0.445599i | ||||||||
\(28\) | 0.661048 | − | 5.20538i | 0.124926 | − | 0.983724i | ||||
\(29\) | − | 0.161060i | − | 0.0299081i | −0.999888 | − | 0.0149541i | \(-0.995240\pi\) | ||
0.999888 | − | 0.0149541i | \(-0.00476020\pi\) | |||||||
\(30\) | 0.225239 | − | 0.130042i | 0.0411228 | − | 0.0237423i | ||||
\(31\) | −3.61898 | + | 6.26826i | −0.649988 | + | 1.12581i | 0.333137 | + | 0.942878i | \(0.391893\pi\) |
−0.983125 | + | 0.182934i | \(0.941440\pi\) | |||||||
\(32\) | 0.767877 | − | 1.33000i | 0.135743 | − | 0.235113i | ||||
\(33\) | 5.40815 | + | 9.36719i | 0.941438 | + | 1.63062i | ||||
\(34\) | − | 0.211778i | − | 0.0363196i | ||||||
\(35\) | 1.90057 | + | 1.44457i | 0.321254 | + | 0.244176i | ||||
\(36\) | 3.88796 | 0.647993 | ||||||||
\(37\) | 4.12698 | + | 7.14814i | 0.678471 | + | 1.17515i | 0.975441 | + | 0.220260i | \(0.0706906\pi\) |
−0.296970 | + | 0.954887i | \(0.595976\pi\) | |||||||
\(38\) | 0.633619 | + | 0.365820i | 0.102787 | + | 0.0593439i | ||||
\(39\) | 1.86919 | − | 3.23753i | 0.299309 | − | 0.518419i | ||||
\(40\) | 0.232575 | + | 0.402831i | 0.0367733 | + | 0.0636932i | ||||
\(41\) | −5.72162 | + | 2.87455i | −0.893567 | + | 0.448929i | ||||
\(42\) | −0.295072 | − | 0.703234i | −0.0455306 | − | 0.108511i | ||||
\(43\) | 2.44646 | 0.373081 | 0.186541 | − | 0.982447i | \(-0.440272\pi\) | ||||
0.186541 | + | 0.982447i | \(0.440272\pi\) | |||||||
\(44\) | −8.34121 | + | 4.81580i | −1.25748 | + | 0.726009i | ||||
\(45\) | −0.884426 | + | 1.53187i | −0.131842 | + | 0.228358i | ||||
\(46\) | 0.523303 | − | 0.906388i | 0.0771569 | − | 0.133640i | ||||
\(47\) | 7.05669 | − | 4.07418i | 1.02932 | − | 0.594281i | 0.112533 | − | 0.993648i | \(-0.464104\pi\) |
0.916791 | + | 0.399367i | \(0.130770\pi\) | |||||||
\(48\) | 8.68557i | 1.25365i | ||||||||
\(49\) | 4.90417 | − | 4.99491i | 0.700596 | − | 0.713558i | ||||
\(50\) | 0.541742 | 0.0766139 | ||||||||
\(51\) | 1.82222 | + | 3.15619i | 0.255162 | + | 0.441954i | ||||
\(52\) | 2.88292 | + | 1.66445i | 0.399789 | + | 0.230818i | ||||
\(53\) | 9.10821 | + | 5.25863i | 1.25111 | + | 0.722328i | 0.971330 | − | 0.237737i | \(-0.0764055\pi\) |
0.279779 | + | 0.960064i | \(0.409739\pi\) | |||||||
\(54\) | −0.259516 | + | 0.149832i | −0.0353156 | + | 0.0203895i | ||||
\(55\) | − | 4.38196i | − | 0.590863i | ||||||
\(56\) | 1.25771 | − | 0.527725i | 0.168068 | − | 0.0705202i | ||||
\(57\) | −12.5907 | −1.66767 | ||||||||
\(58\) | 0.0180520 | − | 0.0104223i | 0.00237035 | − | 0.00136852i | ||||
\(59\) | 2.41123 | − | 4.17637i | 0.313915 | − | 0.543717i | −0.665291 | − | 0.746584i | \(-0.731693\pi\) |
0.979206 | + | 0.202867i | \(0.0650260\pi\) | |||||||
\(60\) | −3.45155 | − | 1.99275i | −0.445593 | − | 0.257263i | ||||
\(61\) | 3.40011 | + | 5.88916i | 0.435339 | + | 0.754030i | 0.997323 | − | 0.0731184i | \(-0.0232951\pi\) |
−0.561984 | + | 0.827148i | \(0.689962\pi\) | |||||||
\(62\) | −0.936750 | −0.118967 | ||||||||
\(63\) | 4.12933 | + | 3.13859i | 0.520247 | + | 0.395425i | ||||
\(64\) | −7.60080 | −0.950100 | ||||||||
\(65\) | −1.31160 | + | 0.757255i | −0.162684 | + | 0.0939259i | ||||
\(66\) | −0.699932 | + | 1.21232i | −0.0861557 | + | 0.149226i | ||||
\(67\) | 8.47522 | + | 4.89317i | 1.03541 | + | 0.597796i | 0.918531 | − | 0.395350i | \(-0.129377\pi\) |
0.116883 | + | 0.993146i | \(0.462710\pi\) | |||||||
\(68\) | −2.81049 | + | 1.62264i | −0.340822 | + | 0.196774i | ||||
\(69\) | 18.0109i | 2.16825i | ||||||||
\(70\) | −0.0389233 | + | 0.306499i | −0.00465223 | + | 0.0366337i | ||||
\(71\) | − | 0.486053i | − | 0.0576839i | −0.999584 | − | 0.0288419i | \(-0.990818\pi\) | ||
0.999584 | − | 0.0288419i | \(-0.00918195\pi\) | |||||||
\(72\) | 0.505311 | + | 0.875224i | 0.0595515 | + | 0.103146i | ||||
\(73\) | −2.04410 | + | 3.54049i | −0.239244 | + | 0.414383i | −0.960498 | − | 0.278288i | \(-0.910233\pi\) |
0.721254 | + | 0.692671i | \(0.243566\pi\) | |||||||
\(74\) | −0.534121 | + | 0.925125i | −0.0620903 | + | 0.107544i | ||||
\(75\) | −8.07373 | + | 4.66137i | −0.932274 | + | 0.538249i | ||||
\(76\) | − | 11.2116i | − | 1.28606i | ||||||
\(77\) | −12.7466 | − | 1.61874i | −1.45261 | − | 0.184472i | ||||
\(78\) | 0.483827 | 0.0547826 | ||||||||
\(79\) | 4.31272 | − | 2.48995i | 0.485219 | − | 0.280142i | −0.237370 | − | 0.971419i | \(-0.576285\pi\) |
0.722589 | + | 0.691278i | \(0.242952\pi\) | |||||||
\(80\) | 1.75937 | − | 3.04732i | 0.196704 | − | 0.340701i | ||||
\(81\) | 5.51902 | − | 9.55922i | 0.613224 | − | 1.06214i | ||||
\(82\) | −0.692438 | − | 0.455279i | −0.0764670 | − | 0.0502772i | ||||
\(83\) | 14.1220 | 1.55009 | 0.775047 | − | 0.631903i | \(-0.217726\pi\) | ||||
0.775047 | + | 0.631903i | \(0.217726\pi\) | |||||||
\(84\) | −7.07173 | + | 9.30403i | −0.771589 | + | 1.01515i | ||||
\(85\) | − | 1.47646i | − | 0.160144i | ||||||
\(86\) | 0.158312 | + | 0.274205i | 0.0170713 | + | 0.0295683i | ||||
\(87\) | −0.179356 | + | 0.310654i | −0.0192290 | + | 0.0333056i | ||||
\(88\) | −2.16818 | − | 1.25180i | −0.231129 | − | 0.133442i | ||||
\(89\) | −8.79797 | + | 5.07951i | −0.932582 | + | 0.538427i | −0.887627 | − | 0.460562i | \(-0.847648\pi\) |
−0.0449551 | + | 0.998989i | \(0.514314\pi\) | |||||||
\(90\) | −0.228928 | −0.0241311 | ||||||||
\(91\) | 1.71825 | + | 4.09505i | 0.180122 | + | 0.429278i | ||||
\(92\) | −16.0381 | −1.67209 | ||||||||
\(93\) | 13.9606 | − | 8.06018i | 1.44765 | − | 0.835801i | ||||
\(94\) | 0.913289 | + | 0.527288i | 0.0941986 | + | 0.0543856i | ||||
\(95\) | 4.41742 | + | 2.55040i | 0.453218 | + | 0.261665i | ||||
\(96\) | −2.96217 | + | 1.71021i | −0.302326 | + | 0.174548i | ||||
\(97\) | − | 4.11373i | − | 0.417686i | −0.977949 | − | 0.208843i | \(-0.933030\pi\) | ||
0.977949 | − | 0.208843i | \(-0.0669697\pi\) | |||||||
\(98\) | 0.877195 | + | 0.226447i | 0.0886101 | + | 0.0228747i | ||||
\(99\) | − | 9.52061i | − | 0.956857i | ||||||
\(100\) | −4.15081 | − | 7.18942i | −0.415081 | − | 0.718942i | ||||
\(101\) | −0.777355 | − | 0.448806i | −0.0773497 | − | 0.0446579i | 0.460826 | − | 0.887490i | \(-0.347553\pi\) |
−0.538176 | + | 0.842832i | \(0.680886\pi\) | |||||||
\(102\) | −0.235835 | + | 0.408479i | −0.0233512 | + | 0.0404454i | ||||
\(103\) | −6.25889 | − | 10.8407i | −0.616707 | − | 1.06817i | −0.990082 | − | 0.140487i | \(-0.955133\pi\) |
0.373376 | − | 0.927680i | \(-0.378200\pi\) | |||||||
\(104\) | 0.865305i | 0.0848501i | ||||||||
\(105\) | −2.05716 | − | 4.90276i | −0.200758 | − | 0.478460i | ||||
\(106\) | 1.36116i | 0.132208i | ||||||||
\(107\) | 5.59394 | + | 9.68898i | 0.540786 | + | 0.936669i | 0.998859 | + | 0.0477545i | \(0.0152065\pi\) |
−0.458073 | + | 0.888915i | \(0.651460\pi\) | |||||||
\(108\) | 3.97680 | + | 2.29601i | 0.382668 | + | 0.220933i | ||||
\(109\) | −9.34805 | − | 5.39710i | −0.895381 | − | 0.516948i | −0.0196821 | − | 0.999806i | \(-0.506265\pi\) |
−0.875699 | + | 0.482858i | \(0.839599\pi\) | |||||||
\(110\) | 0.491141 | − | 0.283560i | 0.0468284 | − | 0.0270364i | ||||
\(111\) | − | 18.3832i | − | 1.74485i | ||||||
\(112\) | −8.21440 | − | 6.24353i | −0.776188 | − | 0.589958i | ||||
\(113\) | 5.38718 | 0.506784 | 0.253392 | − | 0.967364i | \(-0.418454\pi\) | ||||
0.253392 | + | 0.967364i | \(0.418454\pi\) | |||||||
\(114\) | −0.814753 | − | 1.41119i | −0.0763086 | − | 0.132170i | ||||
\(115\) | 3.64833 | − | 6.31909i | 0.340208 | − | 0.589258i | ||||
\(116\) | −0.276628 | − | 0.159711i | −0.0256843 | − | 0.0148288i | ||||
\(117\) | −2.84970 | + | 1.64527i | −0.263455 | + | 0.152106i | ||||
\(118\) | 0.624130 | 0.0574558 | ||||||||
\(119\) | −4.29486 | − | 0.545418i | −0.393709 | − | 0.0499983i | ||||
\(120\) | − | 1.03598i | − | 0.0945714i | ||||||
\(121\) | 6.29265 | + | 10.8992i | 0.572059 | + | 0.990835i | ||||
\(122\) | −0.440048 | + | 0.762185i | −0.0398401 | + | 0.0690050i | ||||
\(123\) | 14.2370 | + | 0.827129i | 1.28371 | + | 0.0745797i | ||||
\(124\) | 7.17734 | + | 12.4315i | 0.644545 | + | 1.11638i | ||||
\(125\) | 8.28834 | 0.741332 | ||||||||
\(126\) | −0.0845681 | + | 0.665926i | −0.00753392 | + | 0.0593254i | ||||
\(127\) | −9.59920 | −0.851791 | −0.425896 | − | 0.904772i | \(-0.640041\pi\) | ||||
−0.425896 | + | 0.904772i | \(0.640041\pi\) | |||||||
\(128\) | −2.02761 | − | 3.51192i | −0.179217 | − | 0.310413i | ||||
\(129\) | −4.71874 | − | 2.72437i | −0.415462 | − | 0.239867i | ||||
\(130\) | −0.169750 | − | 0.0980052i | −0.0148881 | − | 0.00859562i | ||||
\(131\) | 8.95223 | + | 15.5057i | 0.782160 | + | 1.35474i | 0.930681 | + | 0.365832i | \(0.119215\pi\) |
−0.148521 | + | 0.988909i | \(0.547451\pi\) | |||||||
\(132\) | 21.4514 | 1.86711 | ||||||||
\(133\) | 9.05067 | − | 11.9077i | 0.784792 | − | 1.03252i | ||||
\(134\) | 1.26657i | 0.109415i | ||||||||
\(135\) | −1.80927 | + | 1.04458i | −0.155717 | + | 0.0899035i | ||||
\(136\) | −0.730549 | − | 0.421782i | −0.0626440 | − | 0.0361675i | ||||
\(137\) | 12.3158 | + | 7.11053i | 1.05221 | + | 0.607493i | 0.923267 | − | 0.384159i | \(-0.125508\pi\) |
0.128942 | + | 0.991652i | \(0.458842\pi\) | |||||||
\(138\) | −2.01870 | + | 1.16550i | −0.171843 | + | 0.0992138i | ||||
\(139\) | −2.99923 | −0.254391 | −0.127196 | − | 0.991878i | \(-0.540598\pi\) | ||||
−0.127196 | + | 0.991878i | \(0.540598\pi\) | |||||||
\(140\) | 4.36576 | − | 1.83184i | 0.368974 | − | 0.154819i | ||||
\(141\) | −18.1480 | −1.52834 | ||||||||
\(142\) | 0.0544781 | − | 0.0314529i | 0.00457170 | − | 0.00263947i | ||||
\(143\) | 4.07582 | − | 7.05953i | 0.340837 | − | 0.590347i | ||||
\(144\) | 3.82256 | − | 6.62086i | 0.318546 | − | 0.551739i | ||||
\(145\) | 0.125854 | − | 0.0726617i | 0.0104516 | − | 0.00603422i | ||||
\(146\) | −0.529103 | −0.0437888 | ||||||||
\(147\) | −15.0215 | + | 4.17293i | −1.23895 | + | 0.344178i | ||||
\(148\) | 16.3697 | 1.34558 | ||||||||
\(149\) | −16.4745 | + | 9.51153i | −1.34964 | + | 0.779215i | −0.988198 | − | 0.153180i | \(-0.951049\pi\) |
−0.361441 | + | 0.932395i | \(0.617715\pi\) | |||||||
\(150\) | −1.04492 | − | 0.603283i | −0.0853171 | − | 0.0492578i | ||||
\(151\) | −4.68186 | − | 2.70307i | −0.381005 | − | 0.219973i | 0.297251 | − | 0.954799i | \(-0.403930\pi\) |
−0.678255 | + | 0.734826i | \(0.737264\pi\) | |||||||
\(152\) | 2.52386 | − | 1.45715i | 0.204712 | − | 0.118191i | ||||
\(153\) | − | 3.20788i | − | 0.259341i | ||||||
\(154\) | −0.643414 | − | 1.53342i | −0.0518478 | − | 0.123567i | ||||
\(155\) | −6.53076 | −0.524563 | ||||||||
\(156\) | −3.70706 | − | 6.42082i | −0.296803 | − | 0.514077i | ||||
\(157\) | −13.8315 | − | 7.98563i | −1.10387 | − | 0.637322i | −0.166639 | − | 0.986018i | \(-0.553291\pi\) |
−0.937236 | + | 0.348696i | \(0.886625\pi\) | |||||||
\(158\) | 0.558160 | + | 0.322254i | 0.0444048 | + | 0.0256371i | ||||
\(159\) | −11.7120 | − | 20.2858i | −0.928821 | − | 1.60876i | ||||
\(160\) | 1.38570 | 0.109549 | ||||||||
\(161\) | −17.0338 | − | 12.9469i | −1.34245 | − | 1.02036i | ||||
\(162\) | 1.42856 | 0.112238 | ||||||||
\(163\) | 6.21512 | + | 10.7649i | 0.486806 | + | 0.843172i | 0.999885 | − | 0.0151689i | \(-0.00482859\pi\) |
−0.513079 | + | 0.858341i | \(0.671495\pi\) | |||||||
\(164\) | −0.736534 | + | 12.6776i | −0.0575136 | + | 0.989956i | ||||
\(165\) | −4.87974 | + | 8.45195i | −0.379887 | + | 0.657984i | ||||
\(166\) | 0.913849 | + | 1.58283i | 0.0709284 | + | 0.122852i | ||||
\(167\) | 3.14640i | 0.243476i | 0.992562 | + | 0.121738i | \(0.0388467\pi\) | ||||
−0.992562 | + | 0.121738i | \(0.961153\pi\) | |||||||
\(168\) | −3.01355 | − | 0.382700i | −0.232500 | − | 0.0295259i | ||||
\(169\) | 10.1826 | 0.783277 | ||||||||
\(170\) | 0.165485 | − | 0.0955429i | 0.0126921 | − | 0.00732781i | ||||
\(171\) | 9.59765 | + | 5.54121i | 0.733951 | + | 0.423747i | ||||
\(172\) | 2.42597 | − | 4.20190i | 0.184978 | − | 0.320392i | ||||
\(173\) | 1.69151 | + | 2.92977i | 0.128603 | + | 0.222746i | 0.923135 | − | 0.384475i | \(-0.125617\pi\) |
−0.794533 | + | 0.607221i | \(0.792284\pi\) | |||||||
\(174\) | −0.0464251 | −0.00351948 | ||||||||
\(175\) | 1.39521 | − | 10.9865i | 0.105468 | − | 0.830503i | ||||
\(176\) | 18.9392i | 1.42759i | ||||||||
\(177\) | −9.30158 | + | 5.37027i | −0.699150 | + | 0.403654i | ||||
\(178\) | −1.13865 | − | 0.657399i | −0.0853453 | − | 0.0492741i | ||||
\(179\) | −11.5851 | − | 6.68864i | −0.865908 | − | 0.499932i | 7.80305e−5 | − | 1.00000i | \(-0.499975\pi\) |
−0.865986 | + | 0.500068i | \(0.833308\pi\) | |||||||
\(180\) | 1.75404 | + | 3.03808i | 0.130738 | + | 0.226445i | ||||
\(181\) | − | 1.46413i | − | 0.108828i | −0.998518 | − | 0.0544139i | \(-0.982671\pi\) | ||
0.998518 | − | 0.0544139i | \(-0.0173290\pi\) | |||||||
\(182\) | −0.347794 | + | 0.457580i | −0.0257802 | + | 0.0339181i | ||||
\(183\) | − | 15.1454i | − | 1.11958i | ||||||
\(184\) | −2.08445 | − | 3.61037i | −0.153668 | − | 0.266160i | ||||
\(185\) | −3.72375 | + | 6.44972i | −0.273775 | + | 0.474193i | ||||
\(186\) | 1.80681 | + | 1.04316i | 0.132482 | + | 0.0764883i | ||||
\(187\) | 3.97342 | + | 6.88216i | 0.290565 | + | 0.503274i | ||||
\(188\) | − | 16.1602i | − | 1.17861i | ||||||
\(189\) | 2.37022 | + | 5.64886i | 0.172408 | + | 0.410894i | ||||
\(190\) | 0.660154i | 0.0478926i | ||||||||
\(191\) | 3.75827 | − | 2.16984i | 0.271939 | − | 0.157004i | −0.357830 | − | 0.933787i | \(-0.616483\pi\) |
0.629768 | + | 0.776783i | \(0.283150\pi\) | |||||||
\(192\) | 14.6605 | + | 8.46423i | 1.05803 | + | 0.610853i | ||||
\(193\) | 22.1463 | + | 12.7862i | 1.59412 | + | 0.920367i | 0.992589 | + | 0.121520i | \(0.0387768\pi\) |
0.601534 | + | 0.798847i | \(0.294556\pi\) | |||||||
\(194\) | 0.461077 | − | 0.266203i | 0.0331034 | − | 0.0191123i | ||||
\(195\) | 3.37311 | 0.241553 | ||||||||
\(196\) | −3.71587 | − | 13.3762i | −0.265419 | − | 0.955444i | ||||
\(197\) | −3.45583 | −0.246217 | −0.123109 | − | 0.992393i | \(-0.539286\pi\) | ||||
−0.123109 | + | 0.992393i | \(0.539286\pi\) | |||||||
\(198\) | 1.06709 | − | 0.616087i | 0.0758350 | − | 0.0437834i | ||||
\(199\) | −14.3309 | − | 8.27396i | −1.01589 | − | 0.586525i | −0.102980 | − | 0.994683i | \(-0.532838\pi\) |
−0.912911 | + | 0.408158i | \(0.866171\pi\) | |||||||
\(200\) | 1.07895 | − | 1.86879i | 0.0762931 | − | 0.132144i | ||||
\(201\) | −10.8980 | − | 18.8760i | −0.768689 | − | 1.33141i | ||||
\(202\) | − | 0.116171i | − | 0.00817373i | ||||||
\(203\) | −0.164873 | − | 0.392937i | −0.0115718 | − | 0.0275787i | ||||
\(204\) | 7.22785 | 0.506051 | ||||||||
\(205\) | −4.82749 | − | 3.17408i | −0.337166 | − | 0.221687i | ||||
\(206\) | 0.810037 | − | 1.40302i | 0.0564379 | − | 0.0977534i | ||||
\(207\) | 7.92666 | − | 13.7294i | 0.550941 | − | 0.954258i | ||||
\(208\) | 5.66885 | − | 3.27291i | 0.393064 | − | 0.226936i | ||||
\(209\) | −27.4544 | −1.89906 | ||||||||
\(210\) | 0.416393 | − | 0.547833i | 0.0287338 | − | 0.0378041i | ||||
\(211\) | − | 22.5044i | − | 1.54927i | −0.632411 | − | 0.774633i | \(-0.717935\pi\) | ||
0.632411 | − | 0.774633i | \(-0.282065\pi\) | |||||||
\(212\) | 18.0639 | − | 10.4292i | 1.24063 | − | 0.716278i | ||||
\(213\) | −0.541267 | + | 0.937503i | −0.0370870 | + | 0.0642366i | ||||
\(214\) | −0.723977 | + | 1.25396i | −0.0494900 | + | 0.0857193i | ||||
\(215\) | 1.10371 | + | 1.91168i | 0.0752724 | + | 0.130376i | ||||
\(216\) | 1.19363i | 0.0812164i | ||||||||
\(217\) | −2.41252 | + | 18.9973i | −0.163773 | + | 1.28962i | ||||
\(218\) | − | 1.39700i | − | 0.0946170i | ||||||
\(219\) | 7.88536 | − | 4.55261i | 0.532843 | − | 0.307637i | ||||
\(220\) | −7.52621 | − | 4.34526i | −0.507417 | − | 0.292957i | ||||
\(221\) | 1.37331 | − | 2.37864i | 0.0923787 | − | 0.160005i | ||||
\(222\) | 2.06043 | − | 1.18959i | 0.138287 | − | 0.0798401i | ||||
\(223\) | −14.1161 | −0.945284 | −0.472642 | − | 0.881254i | \(-0.656700\pi\) | ||||
−0.472642 | + | 0.881254i | \(0.656700\pi\) | |||||||
\(224\) | 0.511891 | − | 4.03085i | 0.0342021 | − | 0.269323i | ||||
\(225\) | 8.20596 | 0.547064 | ||||||||
\(226\) | 0.348609 | + | 0.603809i | 0.0231891 | + | 0.0401648i | ||||
\(227\) | −1.00061 | − | 0.577703i | −0.0664129 | − | 0.0383435i | 0.466426 | − | 0.884560i | \(-0.345541\pi\) |
−0.532839 | + | 0.846217i | \(0.678875\pi\) | |||||||
\(228\) | −12.4852 | + | 21.6250i | −0.826854 | + | 1.43215i | ||||
\(229\) | 0.0447250 | − | 0.0258220i | 0.00295551 | − | 0.00170637i | −0.498522 | − | 0.866877i | \(-0.666124\pi\) |
0.501477 | + | 0.865171i | \(0.332790\pi\) | |||||||
\(230\) | 0.944346 | 0.0622683 | ||||||||
\(231\) | 22.7832 | + | 17.3169i | 1.49902 | + | 1.13937i | ||||
\(232\) | − | 0.0830295i | − | 0.00545116i | ||||||
\(233\) | 3.53538 | − | 2.04116i | 0.231611 | − | 0.133721i | −0.379704 | − | 0.925108i | \(-0.623974\pi\) |
0.611315 | + | 0.791387i | \(0.290641\pi\) | |||||||
\(234\) | −0.368813 | − | 0.212934i | −0.0241101 | − | 0.0139199i | ||||
\(235\) | 6.36720 | + | 3.67611i | 0.415350 | + | 0.239803i | ||||
\(236\) | −4.78207 | − | 8.28278i | −0.311286 | − | 0.539163i | ||||
\(237\) | −11.0912 | −0.720452 | ||||||||
\(238\) | −0.216792 | − | 0.516673i | −0.0140525 | − | 0.0334909i | ||||
\(239\) | 1.08880i | 0.0704287i | 0.999380 | + | 0.0352143i | \(0.0112114\pi\) | ||||
−0.999380 | + | 0.0352143i | \(0.988789\pi\) | |||||||
\(240\) | −6.78698 | + | 3.91846i | −0.438098 | + | 0.252936i | ||||
\(241\) | −14.1569 | + | 24.5205i | −0.911926 | + | 1.57950i | −0.100586 | + | 0.994928i | \(0.532072\pi\) |
−0.811340 | + | 0.584574i | \(0.801262\pi\) | |||||||
\(242\) | −0.814406 | + | 1.41059i | −0.0523520 | + | 0.0906763i | ||||
\(243\) | −15.2747 | + | 8.81883i | −0.979870 | + | 0.565728i | ||||
\(244\) | 13.4865 | 0.863386 | ||||||||
\(245\) | 6.11556 | + | 1.57873i | 0.390709 | + | 0.100861i | ||||
\(246\) | 0.828582 | + | 1.64924i | 0.0528284 | + | 0.105152i | ||||
\(247\) | 4.74444 | + | 8.21761i | 0.301881 | + | 0.522874i | ||||
\(248\) | −1.86565 | + | 3.23141i | −0.118469 | + | 0.205195i | ||||
\(249\) | −27.2387 | − | 15.7263i | −1.72618 | − | 0.996611i | ||||
\(250\) | 0.536346 | + | 0.928978i | 0.0339215 | + | 0.0587537i | ||||
\(251\) | 16.7155 | 1.05507 | 0.527536 | − | 0.849533i | \(-0.323116\pi\) | ||||
0.527536 | + | 0.849533i | \(0.323116\pi\) | |||||||
\(252\) | 9.48541 | − | 3.98001i | 0.597525 | − | 0.250717i | ||||
\(253\) | 39.2733i | 2.46909i | ||||||||
\(254\) | −0.621172 | − | 1.07590i | −0.0389758 | − | 0.0675081i | ||||
\(255\) | −1.64418 | + | 2.84780i | −0.102963 | + | 0.178336i | ||||
\(256\) | −7.33838 | + | 12.7105i | −0.458649 | + | 0.794403i | ||||
\(257\) | −8.46958 | + | 4.88992i | −0.528318 | + | 0.305025i | −0.740331 | − | 0.672242i | \(-0.765331\pi\) |
0.212013 | + | 0.977267i | \(0.431998\pi\) | |||||||
\(258\) | − | 0.705185i | − | 0.0439029i | ||||||
\(259\) | 17.3859 | + | 13.2146i | 1.08031 | + | 0.821112i | ||||
\(260\) | 3.00365i | 0.186278i | ||||||||
\(261\) | 0.273440 | − | 0.157871i | 0.0169255 | − | 0.00977196i | ||||
\(262\) | −1.15861 | + | 2.00678i | −0.0715794 | + | 0.123979i | ||||
\(263\) | 1.28702 | + | 0.743064i | 0.0793613 | + | 0.0458193i | 0.539156 | − | 0.842206i | \(-0.318744\pi\) |
−0.459794 | + | 0.888025i | \(0.652077\pi\) | |||||||
\(264\) | 2.78801 | + | 4.82897i | 0.171590 | + | 0.297202i | ||||
\(265\) | 9.48964i | 0.582944i | ||||||||
\(266\) | 1.92032 | + | 0.243867i | 0.117742 | + | 0.0149524i | ||||
\(267\) | 22.6261 | 1.38470 | ||||||||
\(268\) | 16.8085 | − | 9.70438i | 1.02674 | − | 0.592790i | ||||
\(269\) | 10.5004 | − | 18.1872i | 0.640220 | − | 1.10889i | −0.345163 | − | 0.938543i | \(-0.612176\pi\) |
0.985383 | − | 0.170352i | \(-0.0544903\pi\) | |||||||
\(270\) | −0.234159 | − | 0.135192i | −0.0142505 | − | 0.00822752i | ||||
\(271\) | 1.42175 | + | 2.46255i | 0.0863654 | + | 0.149589i | 0.905972 | − | 0.423337i | \(-0.139141\pi\) |
−0.819607 | + | 0.572926i | \(0.805808\pi\) | |||||||
\(272\) | 6.38137i | 0.386927i | ||||||||
\(273\) | 1.24606 | − | 9.81200i | 0.0754148 | − | 0.593849i | ||||
\(274\) | 1.84051i | 0.111189i | ||||||||
\(275\) | −17.6050 | + | 10.1643i | −1.06162 | + | 0.612929i | ||||
\(276\) | 30.9345 | + | 17.8600i | 1.86204 | + | 1.07505i | ||||
\(277\) | 6.31062 | − | 10.9303i | 0.379168 | − | 0.656739i | −0.611773 | − | 0.791033i | \(-0.709544\pi\) |
0.990941 | + | 0.134295i | \(0.0428769\pi\) | |||||||
\(278\) | −0.194083 | − | 0.336161i | −0.0116403 | − | 0.0201616i | ||||
\(279\) | −14.1893 | −0.849490 | ||||||||
\(280\) | 0.979778 | + | 0.744702i | 0.0585530 | + | 0.0445044i | ||||
\(281\) | 8.61482i | 0.513917i | 0.966422 | + | 0.256958i | \(0.0827203\pi\) | ||||
−0.966422 | + | 0.256958i | \(0.917280\pi\) | |||||||
\(282\) | −1.17437 | − | 2.03407i | −0.0699329 | − | 0.121127i | ||||
\(283\) | −4.55233 | + | 7.88487i | −0.270608 | + | 0.468707i | −0.969018 | − | 0.246991i | \(-0.920558\pi\) |
0.698410 | + | 0.715698i | \(0.253891\pi\) | |||||||
\(284\) | −0.834818 | − | 0.481982i | −0.0495373 | − | 0.0286004i | ||||
\(285\) | −5.68023 | − | 9.83845i | −0.336468 | − | 0.582780i | ||||
\(286\) | 1.05500 | 0.0623834 | ||||||||
\(287\) | −11.0164 | + | 12.8701i | −0.650276 | + | 0.759698i | ||||
\(288\) | 3.01069 | 0.177406 | ||||||||
\(289\) | −7.16119 | − | 12.4036i | −0.421247 | − | 0.729621i | ||||
\(290\) | 0.0162882 | + | 0.00940400i | 0.000956476 | + | 0.000552222i | ||||
\(291\) | −4.58104 | + | 7.93459i | −0.268545 | + | 0.465134i | ||||
\(292\) | 4.05397 | + | 7.02168i | 0.237240 | + | 0.410912i | ||||
\(293\) | 23.2136i | 1.35615i | 0.734990 | + | 0.678077i | \(0.237187\pi\) | ||||
−0.734990 | + | 0.678077i | \(0.762813\pi\) | |||||||
\(294\) | −1.43977 | − | 1.41362i | −0.0839690 | − | 0.0824437i | ||||
\(295\) | 4.35127 | 0.253340 | ||||||||
\(296\) | 2.12754 | + | 3.68500i | 0.123661 | + | 0.214186i | ||||
\(297\) | 5.62233 | − | 9.73817i | 0.326241 | − | 0.565066i | ||||
\(298\) | −2.13215 | − | 1.23100i | −0.123512 | − | 0.0713098i | ||||
\(299\) | 11.7552 | − | 6.78689i | 0.679823 | − | 0.392496i | ||||
\(300\) | 18.4893i | 1.06748i | ||||||||
\(301\) | 5.96859 | − | 2.50438i | 0.344024 | − | 0.144350i | ||||
\(302\) | − | 0.699673i | − | 0.0402617i | ||||||
\(303\) | 0.999579 | + | 1.73132i | 0.0574243 | + | 0.0994618i | ||||
\(304\) | −19.0924 | − | 11.0230i | −1.09503 | − | 0.632214i | ||||
\(305\) | −3.06789 | + | 5.31375i | −0.175667 | + | 0.304264i | ||||
\(306\) | 0.359547 | − | 0.207584i | 0.0205539 | − | 0.0118668i | ||||
\(307\) | −18.3652 | −1.04816 | −0.524079 | − | 0.851670i | \(-0.675590\pi\) | ||||
−0.524079 | + | 0.851670i | \(0.675590\pi\) | |||||||
\(308\) | −15.4201 | + | 20.2877i | −0.878644 | + | 1.15600i | ||||
\(309\) | 27.8795i | 1.58601i | ||||||||
\(310\) | −0.422611 | − | 0.731984i | −0.0240027 | − | 0.0415739i | ||||
\(311\) | −6.15662 | − | 3.55453i | −0.349110 | − | 0.201559i | 0.315183 | − | 0.949031i | \(-0.397934\pi\) |
−0.664293 | + | 0.747472i | \(0.731267\pi\) | |||||||
\(312\) | 0.963601 | − | 1.66901i | 0.0545532 | − | 0.0944889i | ||||
\(313\) | 24.2293 | − | 13.9888i | 1.36952 | − | 0.790695i | 0.378656 | − | 0.925537i | \(-0.376386\pi\) |
0.990867 | + | 0.134843i | \(0.0430529\pi\) | |||||||
\(314\) | − | 2.06703i | − | 0.116649i | ||||||
\(315\) | −0.589586 | + | 4.64265i | −0.0332194 | + | 0.261584i | ||||
\(316\) | − | 9.87640i | − | 0.555591i | ||||||
\(317\) | 14.0072 | − | 8.08707i | 0.786724 | − | 0.454215i | −0.0520841 | − | 0.998643i | \(-0.516586\pi\) |
0.838808 | + | 0.544428i | \(0.183253\pi\) | |||||||
\(318\) | 1.51579 | − | 2.62542i | 0.0850010 | − | 0.147226i | ||||
\(319\) | −0.391092 | + | 0.677391i | −0.0218969 | + | 0.0379266i | ||||
\(320\) | −3.42907 | − | 5.93933i | −0.191691 | − | 0.332019i | ||||
\(321\) | − | 24.9176i | − | 1.39076i | ||||||
\(322\) | 0.348850 | − | 2.74700i | 0.0194407 | − | 0.153084i | ||||
\(323\) | −9.25048 | −0.514710 | ||||||||
\(324\) | −10.9456 | − | 18.9583i | −0.608088 | − | 1.05324i | ||||
\(325\) | 6.08472 | + | 3.51301i | 0.337519 | + | 0.194867i | ||||
\(326\) | −0.804372 | + | 1.39321i | −0.0445500 | + | 0.0771629i | ||||
\(327\) | 12.0204 | + | 20.8199i | 0.664729 | + | 1.15134i | ||||
\(328\) | −2.94961 | + | 1.48189i | −0.162865 | + | 0.0818235i | ||||
\(329\) | 13.0455 | − | 17.1635i | 0.719221 | − | 0.946255i | ||||
\(330\) | −1.26309 | −0.0695307 | ||||||||
\(331\) | −10.3296 | + | 5.96378i | −0.567765 | + | 0.327799i | −0.756256 | − | 0.654276i | \(-0.772974\pi\) |
0.188491 | + | 0.982075i | \(0.439640\pi\) | |||||||
\(332\) | 14.0038 | − | 24.2552i | 0.768556 | − | 1.33118i | ||||
\(333\) | −8.09052 | + | 14.0132i | −0.443358 | + | 0.767918i | ||||
\(334\) | −0.352656 | + | 0.203606i | −0.0192965 | + | 0.0111408i | ||||
\(335\) | 8.83015i | 0.482443i | ||||||||
\(336\) | 8.89121 | + | 21.1901i | 0.485055 | + | 1.15601i | ||||
\(337\) | 15.7761 | 0.859379 | 0.429690 | − | 0.902977i | \(-0.358623\pi\) | ||||
0.429690 | + | 0.902977i | \(0.358623\pi\) | |||||||
\(338\) | 0.658925 | + | 1.14129i | 0.0358408 | + | 0.0620781i | ||||
\(339\) | −10.3908 | − | 5.99915i | −0.564353 | − | 0.325829i | ||||
\(340\) | −2.53588 | − | 1.46409i | −0.137528 | − | 0.0794016i | ||||
\(341\) | 30.4416 | − | 17.5755i | 1.64851 | − | 0.951765i | ||||
\(342\) | 1.43431i | 0.0775584i | ||||||||
\(343\) | 6.85150 | − | 17.2063i | 0.369946 | − | 0.929053i | ||||
\(344\) | 1.26119 | 0.0679991 | ||||||||
\(345\) | −14.0738 | + | 8.12554i | −0.757710 | + | 0.437464i | ||||
\(346\) | −0.218918 | + | 0.379176i | −0.0117691 | + | 0.0203846i | ||||
\(347\) | −21.7411 | − | 12.5522i | −1.16712 | − | 0.673839i | −0.214122 | − | 0.976807i | \(-0.568689\pi\) |
−0.953001 | + | 0.302968i | \(0.902022\pi\) | |||||||
\(348\) | 0.355708 | + | 0.616104i | 0.0190679 | + | 0.0330266i | ||||
\(349\) | −11.1994 | −0.599490 | −0.299745 | − | 0.954019i | \(-0.596902\pi\) | ||||
−0.299745 | + | 0.954019i | \(0.596902\pi\) | |||||||
\(350\) | 1.32168 | − | 0.554569i | 0.0706469 | − | 0.0296429i | ||||
\(351\) | −3.88643 | −0.207442 | ||||||||
\(352\) | −6.45912 | + | 3.72917i | −0.344272 | + | 0.198766i | ||||
\(353\) | 5.62562 | − | 9.74386i | 0.299422 | − | 0.518613i | −0.676582 | − | 0.736367i | \(-0.736540\pi\) |
0.976004 | + | 0.217754i | \(0.0698730\pi\) | |||||||
\(354\) | −1.20383 | − | 0.695030i | −0.0639827 | − | 0.0369404i | ||||
\(355\) | 0.379806 | − | 0.219281i | 0.0201580 | − | 0.0116382i | ||||
\(356\) | 20.1479i | 1.06783i | ||||||||
\(357\) | 7.67658 | + | 5.83475i | 0.406287 | + | 0.308808i | ||||
\(358\) | − | 1.73131i | − | 0.0915026i | ||||||
\(359\) | −1.20243 | − | 2.08266i | −0.0634616 | − | 0.109919i | 0.832549 | − | 0.553952i | \(-0.186881\pi\) |
−0.896011 | + | 0.444033i | \(0.853547\pi\) | |||||||
\(360\) | −0.455938 | + | 0.789709i | −0.0240301 | + | 0.0416213i | ||||
\(361\) | 6.47905 | − | 11.2221i | 0.341003 | − | 0.590634i | ||||
\(362\) | 0.164103 | − | 0.0947449i | 0.00862506 | − | 0.00497968i | ||||
\(363\) | − | 28.0299i | − | 1.47119i | ||||||
\(364\) | 8.73729 | + | 1.10958i | 0.457958 | + | 0.0581576i | ||||
\(365\) | −3.68876 | −0.193078 | ||||||||
\(366\) | 1.69753 | − | 0.980072i | 0.0887316 | − | 0.0512292i | ||||
\(367\) | −12.3568 | + | 21.4026i | −0.645020 | + | 1.11721i | 0.339276 | + | 0.940687i | \(0.389818\pi\) |
−0.984297 | + | 0.176521i | \(0.943516\pi\) | |||||||
\(368\) | −15.7684 | + | 27.3116i | −0.821983 | + | 1.42372i | ||||
\(369\) | −10.4886 | − | 6.89627i | −0.546015 | − | 0.359006i | ||||
\(370\) | −0.963867 | −0.0501091 | ||||||||
\(371\) | 27.6043 | + | 3.50556i | 1.43315 | + | 0.182000i | ||||
\(372\) | − | 31.9707i | − | 1.65760i | ||||||
\(373\) | −13.8686 | − | 24.0212i | −0.718091 | − | 1.24377i | −0.961755 | − | 0.273911i | \(-0.911683\pi\) |
0.243664 | − | 0.969860i | \(-0.421651\pi\) | |||||||
\(374\) | −0.514247 | + | 0.890702i | −0.0265911 | + | 0.0460571i | ||||
\(375\) | −15.9866 | − | 9.22988i | −0.825545 | − | 0.476629i | ||||
\(376\) | 3.63786 | − | 2.10032i | 0.187608 | − | 0.108316i | ||||
\(377\) | 0.270341 | 0.0139233 | ||||||||
\(378\) | −0.479759 | + | 0.631203i | −0.0246761 | + | 0.0324656i | ||||
\(379\) | 12.9611 | 0.665769 | 0.332885 | − | 0.942968i | \(-0.391978\pi\) | ||||
0.332885 | + | 0.942968i | \(0.391978\pi\) | |||||||
\(380\) | 8.76085 | − | 5.05808i | 0.449422 | − | 0.259474i | ||||
\(381\) | 18.5150 | + | 10.6896i | 0.948552 | + | 0.547647i | ||||
\(382\) | 0.486401 | + | 0.280824i | 0.0248865 | + | 0.0143682i | ||||
\(383\) | −0.270324 | + | 0.156071i | −0.0138129 | + | 0.00797488i | −0.506891 | − | 0.862010i | \(-0.669205\pi\) |
0.493078 | + | 0.869985i | \(0.335872\pi\) | |||||||
\(384\) | 9.03176i | 0.460900i | ||||||||
\(385\) | −4.48571 | − | 10.6906i | −0.228613 | − | 0.544844i | ||||
\(386\) | 3.30961i | 0.168455i | ||||||||
\(387\) | 2.39801 | + | 4.15348i | 0.121898 | + | 0.211133i | ||||
\(388\) | −7.06551 | − | 4.07927i | −0.358697 | − | 0.207094i | ||||
\(389\) | −1.75565 | + | 3.04088i | −0.0890150 | + | 0.154179i | −0.907095 | − | 0.420926i | \(-0.861705\pi\) |
0.818080 | + | 0.575104i | \(0.195039\pi\) | |||||||
\(390\) | 0.218277 | + | 0.378066i | 0.0110529 | + | 0.0191441i | ||||
\(391\) | 13.2327i | 0.669209i | ||||||||
\(392\) | 2.52820 | − | 2.57497i | 0.127693 | − | 0.130056i | ||||
\(393\) | − | 39.8767i | − | 2.01151i | ||||||
\(394\) | −0.223629 | − | 0.387338i | −0.0112663 | − | 0.0195138i | ||||
\(395\) | 3.89134 | + | 2.24667i | 0.195795 | + | 0.113042i | ||||
\(396\) | −16.3521 | − | 9.44087i | −0.821722 | − | 0.474422i | ||||
\(397\) | 10.2559 | − | 5.92126i | 0.514730 | − | 0.297179i | −0.220046 | − | 0.975490i | \(-0.570621\pi\) |
0.734776 | + | 0.678310i | \(0.237287\pi\) | |||||||
\(398\) | − | 2.14166i | − | 0.107352i | ||||||
\(399\) | −30.7173 | + | 12.8888i | −1.53779 | + | 0.645245i | ||||
\(400\) | −16.3240 | −0.816198 | ||||||||
\(401\) | −5.61969 | − | 9.73359i | −0.280634 | − | 0.486072i | 0.690907 | − | 0.722944i | \(-0.257211\pi\) |
−0.971541 | + | 0.236871i | \(0.923878\pi\) | |||||||
\(402\) | 1.41044 | − | 2.44296i | 0.0703466 | − | 0.121844i | ||||
\(403\) | −10.5213 | − | 6.07450i | −0.524106 | − | 0.302592i | ||||
\(404\) | −1.54169 | + | 0.890095i | −0.0767019 | + | 0.0442839i | ||||
\(405\) | 9.95954 | 0.494894 | ||||||||
\(406\) | 0.0333722 | − | 0.0439067i | 0.00165624 | − | 0.00217905i | ||||
\(407\) | − | 40.0851i | − | 1.98695i | ||||||
\(408\) | 0.939392 | + | 1.62707i | 0.0465068 | + | 0.0805522i | ||||
\(409\) | 15.6109 | − | 27.0388i | 0.771908 | − | 1.33698i | −0.164608 | − | 0.986359i | \(-0.552636\pi\) |
0.936516 | − | 0.350625i | \(-0.114031\pi\) | |||||||
\(410\) | 0.0433681 | − | 0.746474i | 0.00214180 | − | 0.0368657i | ||||
\(411\) | −15.8365 | − | 27.4297i | −0.781158 | − | 1.35301i | ||||
\(412\) | −24.8259 | −1.22308 | ||||||||
\(413\) | 1.60740 | − | 12.6574i | 0.0790949 | − | 0.622828i | ||||
\(414\) | 2.05176 | 0.100839 | ||||||||
\(415\) | 6.37111 | + | 11.0351i | 0.312745 | + | 0.541691i | ||||
\(416\) | 2.23242 | + | 1.28889i | 0.109454 | + | 0.0631931i | ||||
\(417\) | 5.78493 | + | 3.33993i | 0.283289 | + | 0.163557i | ||||
\(418\) | −1.77659 | − | 3.07715i | −0.0868961 | − | 0.150508i | ||||
\(419\) | −23.6395 | −1.15486 | −0.577432 | − | 0.816439i | \(-0.695945\pi\) | ||||
−0.577432 | + | 0.816439i | \(0.695945\pi\) | |||||||
\(420\) | −10.4606 | − | 1.32843i | −0.510427 | − | 0.0648207i | ||||
\(421\) | 37.9329i | 1.84874i | 0.381500 | + | 0.924369i | \(0.375407\pi\) | ||||
−0.381500 | + | 0.924369i | \(0.624593\pi\) | |||||||
\(422\) | 2.52235 | − | 1.45628i | 0.122786 | − | 0.0708905i | ||||
\(423\) | 13.8339 | + | 7.98701i | 0.672628 | + | 0.388342i | ||||
\(424\) | 4.69545 | + | 2.71092i | 0.228031 | + | 0.131654i | ||||
\(425\) | −5.93185 | + | 3.42475i | −0.287737 | + | 0.166125i | ||||
\(426\) | −0.140104 | −0.00678804 | ||||||||
\(427\) | 14.3238 | + | 10.8871i | 0.693177 | + | 0.526864i | ||||
\(428\) | 22.1883 | 1.07251 | ||||||||
\(429\) | −15.7229 | + | 9.07765i | −0.759111 | + | 0.438273i | ||||
\(430\) | −0.142844 | + | 0.247413i | −0.00688855 | + | 0.0119313i | ||||
\(431\) | 1.67483 | − | 2.90089i | 0.0806737 | − | 0.139731i | −0.822866 | − | 0.568236i | \(-0.807626\pi\) |
0.903539 | + | 0.428505i | \(0.140960\pi\) | |||||||
\(432\) | 7.81982 | − | 4.51478i | 0.376231 | − | 0.217217i | ||||
\(433\) | −9.18074 | −0.441198 | −0.220599 | − | 0.975365i | \(-0.570801\pi\) | ||||
−0.220599 | + | 0.975365i | \(0.570801\pi\) | |||||||
\(434\) | −2.28538 | + | 0.958928i | −0.109702 | + | 0.0460300i | ||||
\(435\) | −0.323663 | −0.0155185 | ||||||||
\(436\) | −18.5395 | + | 10.7038i | −0.887882 | + | 0.512619i | ||||
\(437\) | −39.5911 | − | 22.8579i | −1.89390 | − | 1.09344i | ||||
\(438\) | 1.02054 | + | 0.589207i | 0.0487631 | + | 0.0281534i | ||||
\(439\) | −12.4074 | + | 7.16341i | −0.592173 | + | 0.341891i | −0.765956 | − | 0.642893i | \(-0.777734\pi\) |
0.173783 | + | 0.984784i | \(0.444401\pi\) | |||||||
\(440\) | − | 2.25898i | − | 0.107693i | ||||||
\(441\) | 13.2872 | + | 3.43008i | 0.632723 | + | 0.163337i | ||||
\(442\) | 0.355472 | 0.0169081 | ||||||||
\(443\) | 8.82501 | + | 15.2854i | 0.419289 | + | 0.726230i | 0.995868 | − | 0.0908116i | \(-0.0289461\pi\) |
−0.576579 | + | 0.817041i | \(0.695613\pi\) | |||||||
\(444\) | −31.5739 | − | 18.2292i | −1.49843 | − | 0.865120i | ||||
\(445\) | −7.93834 | − | 4.58320i | −0.376313 | − | 0.217265i | ||||
\(446\) | −0.913465 | − | 1.58217i | −0.0432538 | − | 0.0749179i | ||||
\(447\) | 42.3681 | 2.00394 | ||||||||
\(448\) | −18.5436 | + | 7.78076i | −0.876103 | + | 0.367606i | ||||
\(449\) | 17.8059 | 0.840313 | 0.420157 | − | 0.907452i | \(-0.361975\pi\) | ||||
0.420157 | + | 0.907452i | \(0.361975\pi\) | |||||||
\(450\) | 0.531015 | + | 0.919744i | 0.0250323 | + | 0.0433572i | ||||
\(451\) | 31.0442 | + | 1.80358i | 1.46182 | + | 0.0849274i | ||||
\(452\) | 5.34207 | − | 9.25273i | 0.251270 | − | 0.435212i | ||||
\(453\) | 6.02027 | + | 10.4274i | 0.282857 | + | 0.489923i | ||||
\(454\) | − | 0.149535i | − | 0.00701801i | ||||||
\(455\) | −2.42472 | + | 3.19012i | −0.113673 | + | 0.149555i | ||||
\(456\) | −6.49073 | −0.303956 | ||||||||
\(457\) | −17.7387 | + | 10.2415i | −0.829783 | + | 0.479075i | −0.853778 | − | 0.520637i | \(-0.825695\pi\) |
0.0239953 | + | 0.999712i | \(0.492361\pi\) | |||||||
\(458\) | 0.00578839 | + | 0.00334193i | 0.000270474 | + | 0.000156158i | ||||
\(459\) | 1.89439 | − | 3.28118i | 0.0884226 | − | 0.153152i | ||||
\(460\) | −7.23555 | − | 12.5323i | −0.337359 | − | 0.584323i | ||||
\(461\) | −4.28751 | −0.199689 | −0.0998446 | − | 0.995003i | \(-0.531835\pi\) | ||||
−0.0998446 | + | 0.995003i | \(0.531835\pi\) | |||||||
\(462\) | −0.466596 | + | 3.67419i | −0.0217080 | + | 0.170939i | ||||
\(463\) | 2.64163i | 0.122767i | 0.998114 | + | 0.0613835i | \(0.0195513\pi\) | ||||
−0.998114 | + | 0.0613835i | \(0.980449\pi\) | |||||||
\(464\) | −0.543950 | + | 0.314049i | −0.0252522 | + | 0.0145794i | ||||
\(465\) | 12.5966 | + | 7.27264i | 0.584152 | + | 0.337261i | ||||
\(466\) | 0.457556 | + | 0.264170i | 0.0211959 | + | 0.0122374i | ||||
\(467\) | −20.4787 | − | 35.4702i | −0.947643 | − | 1.64137i | −0.750371 | − | 0.661017i | \(-0.770125\pi\) |
−0.197273 | − | 0.980349i | \(-0.563208\pi\) | |||||||
\(468\) | 6.52598i | 0.301663i | ||||||||
\(469\) | 25.6859 | + | 3.26194i | 1.18607 | + | 0.150622i | ||||
\(470\) | 0.951536i | 0.0438911i | ||||||||
\(471\) | 17.7855 | + | 30.8055i | 0.819515 | + | 1.41944i | ||||
\(472\) | 1.24303 | − | 2.15300i | 0.0572153 | − | 0.0990997i | ||||
\(473\) | −10.2894 | − | 5.94057i | −0.473106 | − | 0.273148i | ||||
\(474\) | −0.717722 | − | 1.24313i | −0.0329661 | − | 0.0570989i | ||||
\(475\) | − | 23.6633i | − | 1.08575i | ||||||
\(476\) | −5.19567 | + | 6.83576i | −0.238143 | + | 0.313317i | ||||
\(477\) | 20.6180i | 0.944033i | ||||||||
\(478\) | −0.122036 | + | 0.0704573i | −0.00558178 | + | 0.00322264i | ||||
\(479\) | 32.2390 | + | 18.6132i | 1.47304 | + | 0.850457i | 0.999540 | − | 0.0303386i | \(-0.00965855\pi\) |
0.473496 | + | 0.880796i | \(0.342992\pi\) | |||||||
\(480\) | −2.67275 | − | 1.54311i | −0.121994 | − | 0.0704331i | ||||
\(481\) | −11.9982 | + | 6.92718i | −0.547072 | + | 0.315852i | ||||
\(482\) | −3.66442 | −0.166910 | ||||||||
\(483\) | 18.4373 | + | 43.9409i | 0.838926 | + | 1.99938i | ||||
\(484\) | 24.9598 | 1.13454 | ||||||||
\(485\) | 3.21450 | − | 1.85589i | 0.145963 | − | 0.0842718i | ||||
\(486\) | −1.97687 | − | 1.14135i | −0.0896728 | − | 0.0517726i | ||||
\(487\) | −8.57841 | + | 14.8582i | −0.388725 | + | 0.673291i | −0.992278 | − | 0.124031i | \(-0.960418\pi\) |
0.603553 | + | 0.797323i | \(0.293751\pi\) | |||||||
\(488\) | 1.75282 | + | 3.03597i | 0.0793465 | + | 0.137432i | ||||
\(489\) | − | 27.6846i | − | 1.25194i | ||||||
\(490\) | 0.218795 | + | 0.787609i | 0.00988416 | + | 0.0355805i | ||||
\(491\) | −18.9371 | −0.854622 | −0.427311 | − | 0.904105i | \(-0.640539\pi\) | ||||
−0.427311 | + | 0.904105i | \(0.640539\pi\) | |||||||
\(492\) | 15.5384 | − | 23.6325i | 0.700525 | − | 1.06543i | ||||
\(493\) | −0.131775 | + | 0.228240i | −0.00593483 | + | 0.0102794i | ||||
\(494\) | −0.614033 | + | 1.06354i | −0.0276267 | + | 0.0478508i | ||||
\(495\) | 7.43948 | − | 4.29519i | 0.334380 | − | 0.193054i | ||||
\(496\) | 28.2265 | 1.26741 | ||||||||
\(497\) | −0.497561 | − | 1.18582i | −0.0223187 | − | 0.0531912i | ||||
\(498\) | − | 4.07064i | − | 0.182410i | ||||||
\(499\) | 17.2880 | − | 9.98121i | 0.773916 | − | 0.446820i | −0.0603540 | − | 0.998177i | \(-0.519223\pi\) |
0.834270 | + | 0.551357i | \(0.185890\pi\) | |||||||
\(500\) | 8.21893 | − | 14.2356i | 0.367562 | − | 0.636635i | ||||
\(501\) | 3.50382 | − | 6.06880i | 0.156539 | − | 0.271134i | ||||
\(502\) | 1.08167 | + | 1.87351i | 0.0482774 | + | 0.0836189i | ||||
\(503\) | − | 5.87724i | − | 0.262053i | −0.991379 | − | 0.131027i | \(-0.958173\pi\) | ||
0.991379 | − | 0.131027i | \(-0.0418273\pi\) | |||||||
\(504\) | 2.12875 | + | 1.61800i | 0.0948220 | + | 0.0720715i | ||||
\(505\) | − | 0.809909i | − | 0.0360405i | ||||||
\(506\) | −4.40185 | + | 2.54141i | −0.195686 | + | 0.112979i | ||||
\(507\) | −19.6403 | − | 11.3393i | −0.872255 | − | 0.503597i | ||||
\(508\) | −9.51881 | + | 16.4871i | −0.422329 | + | 0.731495i | ||||
\(509\) | 13.2471 | − | 7.64819i | 0.587166 | − | 0.339000i | −0.176810 | − | 0.984245i | \(-0.556578\pi\) |
0.763976 | + | 0.645245i | \(0.223245\pi\) | |||||||
\(510\) | −0.425585 | −0.0188452 | ||||||||
\(511\) | −1.36266 | + | 10.7302i | −0.0602806 | + | 0.474676i | ||||
\(512\) | −10.0099 | −0.442381 | ||||||||
\(513\) | 6.54465 | + | 11.3357i | 0.288953 | + | 0.500482i | ||||
\(514\) | −1.09615 | − | 0.632861i | −0.0483490 | − | 0.0279143i | ||||
\(515\) | 5.64735 | − | 9.78150i | 0.248852 | − | 0.431025i | ||||
\(516\) | −9.35844 | + | 5.40310i | −0.411983 | + | 0.237858i | ||||
\(517\) | −39.5723 | −1.74039 | ||||||||
\(518\) | −0.356061 | + | 2.80378i | −0.0156444 | + | 0.123191i | ||||
\(519\) | − | 7.53462i | − | 0.330733i | ||||||
\(520\) | −0.676157 | + | 0.390379i | −0.0296514 | + | 0.0171193i | ||||
\(521\) | 16.1310 | + | 9.31324i | 0.706712 | + | 0.408020i | 0.809842 | − | 0.586647i | \(-0.199553\pi\) |
−0.103130 | + | 0.994668i | \(0.532886\pi\) | |||||||
\(522\) | 0.0353891 | + | 0.0204319i | 0.00154894 | + | 0.000894280i | ||||
\(523\) | −4.52214 | − | 7.83257i | −0.197739 | − | 0.342494i | 0.750056 | − | 0.661375i | \(-0.230027\pi\) |
−0.947795 | + | 0.318880i | \(0.896693\pi\) | |||||||
\(524\) | 35.5090 | 1.55122 | ||||||||
\(525\) | −14.9257 | + | 19.6372i | −0.651410 | + | 0.857037i | ||||
\(526\) | 0.192337i | 0.00838630i | ||||||||
\(527\) | 10.2570 | − | 5.92189i | 0.446802 | − | 0.257961i | ||||
\(528\) | 21.0906 | − | 36.5300i | 0.917851 | − | 1.58976i | ||||
\(529\) | −21.1981 | + | 36.7162i | −0.921657 | + | 1.59636i | ||||
\(530\) | −1.06362 | + | 0.614083i | −0.0462008 | + | 0.0266741i | ||||
\(531\) | 9.45392 | 0.410265 | ||||||||
\(532\) | −11.4771 | − | 27.3529i | −0.497594 | − | 1.18590i | ||||
\(533\) | −4.82497 | − | 9.60381i | −0.208992 | − | 0.415987i | ||||
\(534\) | 1.46415 | + | 2.53599i | 0.0633602 | + | 0.109743i | ||||
\(535\) | −5.04737 | + | 8.74230i | −0.218217 | + | 0.377963i | ||||
\(536\) | 4.36914 | + | 2.52252i | 0.188718 | + | 0.108956i | ||||
\(537\) | 14.8969 | + | 25.8022i | 0.642849 | + | 1.11345i | ||||
\(538\) | 2.71796 | 0.117180 | ||||||||
\(539\) | −32.7549 | + | 9.09922i | −1.41085 | + | 0.391931i | ||||
\(540\) | 4.14334i | 0.178301i | ||||||||
\(541\) | −17.2104 | − | 29.8093i | −0.739934 | − | 1.28160i | −0.952524 | − | 0.304462i | \(-0.901523\pi\) |
0.212590 | − | 0.977141i | \(-0.431810\pi\) | |||||||
\(542\) | −0.184006 | + | 0.318708i | −0.00790373 | + | 0.0136897i | ||||
\(543\) | −1.63045 | + | 2.82402i | −0.0699692 | + | 0.121190i | ||||
\(544\) | −2.17634 | + | 1.25651i | −0.0933097 | + | 0.0538724i | ||||
\(545\) | − | 9.73953i | − | 0.417196i | ||||||
\(546\) | 1.18039 | − | 0.495282i | 0.0505159 | − | 0.0211961i | ||||
\(547\) | 35.6934i | 1.52614i | 0.646315 | + | 0.763071i | \(0.276309\pi\) | ||||
−0.646315 | + | 0.763071i | \(0.723691\pi\) | |||||||
\(548\) | 24.4253 | − | 14.1020i | 1.04340 | − | 0.602406i | ||||
\(549\) | −6.66556 | + | 11.5451i | −0.284479 | + | 0.492732i | ||||
\(550\) | −2.27847 | − | 1.31548i | −0.0971544 | − | 0.0560921i | ||||
\(551\) | −0.455248 | − | 0.788513i | −0.0193942 | − | 0.0335918i | ||||
\(552\) | 9.28494i | 0.395193i | ||||||||
\(553\) | 7.97280 | − | 10.4895i | 0.339038 | − | 0.446061i | ||||
\(554\) | 1.63346 | 0.0693991 | ||||||||
\(555\) | 14.3648 | − | 8.29351i | 0.609751 | − | 0.352040i | ||||
\(556\) | −2.97411 | + | 5.15131i | −0.126130 | + | 0.218464i | ||||
\(557\) | 13.1989 | + | 7.62038i | 0.559255 | + | 0.322886i | 0.752846 | − | 0.658196i | \(-0.228680\pi\) |
−0.193592 | + | 0.981082i | \(0.562014\pi\) | |||||||
\(558\) | −0.918200 | − | 1.59037i | −0.0388705 | − | 0.0673257i | ||||
\(559\) | 4.10640i | 0.173682i | ||||||||
\(560\) | 1.17285 | − | 9.23555i | 0.0495620 | − | 0.390273i | ||||
\(561\) | − | 17.6992i | − | 0.747259i | ||||||
\(562\) | −0.965570 | + | 0.557472i | −0.0407301 | + | 0.0235155i | ||||
\(563\) | 17.9547 | + | 10.3661i | 0.756699 | + | 0.436881i | 0.828109 | − | 0.560567i | \(-0.189417\pi\) |
−0.0714101 | + | 0.997447i | \(0.522750\pi\) | |||||||
\(564\) | −17.9960 | + | 31.1700i | −0.757769 | + | 1.31249i | ||||
\(565\) | 2.43041 | + | 4.20959i | 0.102248 | + | 0.177099i | ||||
\(566\) | −1.17834 | −0.0495294 | ||||||||
\(567\) | 3.67915 | − | 28.9712i | 0.154510 | − | 1.21668i | ||||
\(568\) | − | 0.250570i | − | 0.0105137i | ||||||
\(569\) | 17.9242 | + | 31.0457i | 0.751423 | + | 1.30150i | 0.947133 | + | 0.320842i | \(0.103966\pi\) |
−0.195710 | + | 0.980662i | \(0.562701\pi\) | |||||||
\(570\) | 0.735146 | − | 1.27331i | 0.0307919 | − | 0.0533331i | ||||
\(571\) | 0.205073 | + | 0.118399i | 0.00858205 | + | 0.00495485i | 0.504285 | − | 0.863537i | \(-0.331756\pi\) |
−0.495703 | + | 0.868492i | \(0.665089\pi\) | |||||||
\(572\) | −8.08337 | − | 14.0008i | −0.337983 | − | 0.585403i | ||||
\(573\) | −9.66529 | −0.403773 | ||||||||
\(574\) | −2.15539 | − | 0.401908i | −0.0899643 | − | 0.0167753i | ||||
\(575\) | −33.8502 | −1.41165 | ||||||||
\(576\) | −7.45029 | − | 12.9043i | −0.310429 | − | 0.537678i | ||||
\(577\) | −13.7152 | − | 7.91849i | −0.570973 | − | 0.329651i | 0.186565 | − | 0.982443i | \(-0.440264\pi\) |
−0.757538 | + | 0.652791i | \(0.773598\pi\) | |||||||
\(578\) | 0.926814 | − | 1.60529i | 0.0385504 | − | 0.0667712i | ||||
\(579\) | −28.4772 | − | 49.3240i | −1.18347 | − | 2.04984i | ||||
\(580\) | − | 0.288213i | − | 0.0119674i | ||||||
\(581\) | 34.4534 | − | 14.4564i | 1.42937 | − | 0.599752i | ||||
\(582\) | −1.18577 | −0.0491518 | ||||||||
\(583\) | −25.5384 | − | 44.2337i | −1.05769 | − | 1.83197i | ||||
\(584\) | −1.05377 | + | 1.82519i | −0.0436055 | + | 0.0755269i | ||||
\(585\) | −2.57126 | − | 1.48452i | −0.106309 | − | 0.0613773i | ||||
\(586\) | −2.60184 | + | 1.50217i | −0.107481 | + | 0.0620542i | ||||
\(587\) | 5.85164i | 0.241523i | 0.992682 | + | 0.120761i | \(0.0385336\pi\) | ||||
−0.992682 | + | 0.120761i | \(0.961466\pi\) | |||||||
\(588\) | −7.72851 | + | 29.9381i | −0.318719 | + | 1.23463i | ||||
\(589\) | 40.9173i | 1.68597i | ||||||||
\(590\) | 0.281574 | + | 0.487701i | 0.0115922 | + | 0.0200783i | ||||
\(591\) | 6.66562 | + | 3.84840i | 0.274187 | + | 0.158302i | ||||
\(592\) | 16.0943 | − | 27.8762i | 0.661472 | − | 1.14570i | ||||
\(593\) | 17.5829 | − | 10.1515i | 0.722042 | − | 0.416871i | −0.0934616 | − | 0.995623i | \(-0.529793\pi\) |
0.815504 | + | 0.578752i | \(0.196460\pi\) | |||||||
\(594\) | 1.45530 | 0.0597119 | ||||||||
\(595\) | −1.51142 | − | 3.60210i | −0.0619620 | − | 0.147672i | ||||
\(596\) | 37.7275i | 1.54538i | ||||||||
\(597\) | 18.4277 | + | 31.9177i | 0.754196 | + | 1.30631i | ||||
\(598\) | 1.52138 | + | 0.878371i | 0.0622140 | + | 0.0359192i | ||||
\(599\) | 9.70262 | − | 16.8054i | 0.396438 | − | 0.686651i | −0.596845 | − | 0.802356i | \(-0.703579\pi\) |
0.993284 | + | 0.115705i | \(0.0369127\pi\) | |||||||
\(600\) | −4.16216 | + | 2.40303i | −0.169920 | + | 0.0981031i | ||||
\(601\) | − | 38.4068i | − | 1.56665i | −0.621615 | − | 0.783323i | \(-0.713523\pi\) | ||
0.621615 | − | 0.783323i | \(-0.286477\pi\) | |||||||
\(602\) | 0.666930 | + | 0.506914i | 0.0271820 | + | 0.0206603i | ||||
\(603\) | 19.1851i | 0.781278i | ||||||||
\(604\) | −9.28530 | + | 5.36087i | −0.377814 | + | 0.218131i | ||||
\(605\) | −5.67781 | + | 9.83426i | −0.230836 | + | 0.399820i | ||||
\(606\) | −0.129367 | + | 0.224071i | −0.00525518 | + | 0.00910225i | ||||
\(607\) | −7.05007 | − | 12.2111i | −0.286154 | − | 0.495633i | 0.686735 | − | 0.726908i | \(-0.259043\pi\) |
−0.972888 | + | 0.231276i | \(0.925710\pi\) | |||||||
\(608\) | − | 8.68185i | − | 0.352096i | ||||||
\(609\) | −0.119564 | + | 0.941501i | −0.00484499 | + | 0.0381516i | ||||
\(610\) | −0.794104 | −0.0321523 | ||||||||
\(611\) | 6.83856 | + | 11.8447i | 0.276659 | + | 0.479187i | ||||
\(612\) | −5.50967 | − | 3.18101i | −0.222715 | − | 0.128585i | ||||
\(613\) | −17.5721 | + | 30.4358i | −0.709732 | + | 1.22929i | 0.255224 | + | 0.966882i | \(0.417851\pi\) |
−0.964956 | + | 0.262410i | \(0.915483\pi\) | |||||||
\(614\) | −1.18843 | − | 2.05842i | −0.0479611 | − | 0.0830710i | ||||
\(615\) | 5.77665 | + | 11.4981i | 0.232937 | + | 0.463647i | ||||
\(616\) | −6.57114 | − | 0.834489i | −0.264759 | − | 0.0336225i | ||||
\(617\) | −8.75222 | −0.352351 | −0.176175 | − | 0.984359i | \(-0.556373\pi\) | ||||
−0.176175 | + | 0.984359i | \(0.556373\pi\) | |||||||
\(618\) | −3.12481 | + | 1.80411i | −0.125698 | + | 0.0725719i | ||||
\(619\) | −3.12883 | + | 5.41929i | −0.125758 | + | 0.217820i | −0.922029 | − | 0.387121i | \(-0.873470\pi\) |
0.796271 | + | 0.604940i | \(0.206803\pi\) | |||||||
\(620\) | −6.47607 | + | 11.2169i | −0.260085 | + | 0.450481i | ||||
\(621\) | 16.2156 | − | 9.36208i | 0.650709 | − | 0.375687i | ||||
\(622\) | − | 0.920067i | − | 0.0368913i | ||||||
\(623\) | −16.2645 | + | 21.3987i | −0.651625 | + | 0.857320i | ||||
\(624\) | −14.5788 | −0.583620 | ||||||||
\(625\) | −6.72541 | − | 11.6488i | −0.269016 | − | 0.465950i | ||||
\(626\) | 3.13580 | + | 1.81046i | 0.125332 | + | 0.0723604i | ||||
\(627\) | 52.9542 | + | 30.5731i | 2.11479 | + | 1.22097i | ||||
\(628\) | −27.4313 | + | 15.8375i | −1.09463 | + | 0.631985i | ||||
\(629\) | − | 13.5063i | − | 0.538531i | ||||||
\(630\) | −0.558513 | + | 0.234348i | −0.0222517 | + | 0.00933665i | ||||
\(631\) | 36.5822 | 1.45632 | 0.728158 | − | 0.685409i | \(-0.240377\pi\) | ||||
0.728158 | + | 0.685409i | \(0.240377\pi\) | |||||||
\(632\) | 2.22329 | − | 1.28362i | 0.0884378 | − | 0.0510596i | ||||
\(633\) | −25.0608 | + | 43.4066i | −0.996079 | + | 1.72526i | ||||
\(634\) | 1.81284 | + | 1.04664i | 0.0719970 | + | 0.0415675i | ||||
\(635\) | −4.33064 | − | 7.50090i | −0.171856 | − | 0.297664i | ||||
\(636\) | −46.4556 | −1.84208 | ||||||||
\(637\) | 8.38401 | + | 8.23171i | 0.332186 | + | 0.326152i | ||||
\(638\) | −0.101232 | −0.00400779 | ||||||||
\(639\) | 0.825198 | − | 0.476428i | 0.0326443 | − | 0.0188472i | ||||
\(640\) | 1.82950 | − | 3.16878i | 0.0723172 | − | 0.125257i | ||||
\(641\) | 19.0326 | + | 10.9885i | 0.751744 | + | 0.434019i | 0.826324 | − | 0.563196i | \(-0.190428\pi\) |
−0.0745800 | + | 0.997215i | \(0.523762\pi\) | |||||||
\(642\) | 2.79282 | − | 1.61244i | 0.110224 | − | 0.0636378i | ||||
\(643\) | 33.1845i | 1.30867i | 0.756205 | + | 0.654335i | \(0.227051\pi\) | ||||
−0.756205 | + | 0.654335i | \(0.772949\pi\) | |||||||
\(644\) | −39.1281 | + | 16.4179i | −1.54186 | + | 0.646954i | ||||
\(645\) | − | 4.91635i | − | 0.193581i | ||||||
\(646\) | −0.598607 | − | 1.03682i | −0.0235519 | − | 0.0407930i | ||||
\(647\) | −0.277247 | + | 0.480206i | −0.0108997 | + | 0.0188788i | −0.871424 | − | 0.490531i | \(-0.836803\pi\) |
0.860524 | + | 0.509410i | \(0.170136\pi\) | |||||||
\(648\) | 2.84516 | − | 4.92796i | 0.111768 | − | 0.193589i | ||||
\(649\) | −20.2824 | + | 11.7101i | −0.796154 | + | 0.459660i | ||||
\(650\) | 0.909321i | 0.0356665i | ||||||||
\(651\) | 25.8086 | − | 33.9555i | 1.01152 | − | 1.33082i | ||||
\(652\) | 24.6523 | 0.965458 | ||||||||
\(653\) | −33.7807 | + | 19.5033i | −1.32194 | + | 0.763223i | −0.984038 | − | 0.177958i | \(-0.943051\pi\) |
−0.337903 | + | 0.941181i | \(0.609718\pi\) | |||||||
\(654\) | −1.55570 | + | 2.69455i | −0.0608327 | + | 0.105365i | ||||
\(655\) | −8.07753 | + | 13.9907i | −0.315615 | + | 0.546662i | ||||
\(656\) | 20.8648 | + | 13.7186i | 0.814633 | + | 0.535622i | ||||
\(657\) | −8.01450 | −0.312675 | ||||||||
\(658\) | 2.76791 | + | 0.351506i | 0.107905 | + | 0.0137031i | ||||
\(659\) | − | 46.8314i | − | 1.82429i | −0.409864 | − | 0.912146i | \(-0.634424\pi\) | ||
0.409864 | − | 0.912146i | \(-0.365576\pi\) | |||||||
\(660\) | 9.67774 | + | 16.7623i | 0.376705 | + | 0.652473i | ||||
\(661\) | −4.48510 | + | 7.76842i | −0.174450 | + | 0.302157i | −0.939971 | − | 0.341255i | \(-0.889148\pi\) |
0.765521 | + | 0.643411i | \(0.222481\pi\) | |||||||
\(662\) | −1.33687 | − | 0.771843i | −0.0519590 | − | 0.0299985i | ||||
\(663\) | −5.29769 | + | 3.05863i | −0.205745 | + | 0.118787i | ||||
\(664\) | 7.28018 | 0.282526 | ||||||||
\(665\) | 13.3879 | + | 1.70017i | 0.519161 | + | 0.0659299i | ||||
\(666\) | −2.09418 | −0.0811477 | ||||||||
\(667\) | −1.12796 | + | 0.651230i | −0.0436749 | + | 0.0252157i | ||||
\(668\) | 5.40408 | + | 3.12005i | 0.209090 | + | 0.120718i | ||||
\(669\) | 27.2273 | + | 15.7197i | 1.05267 | + | 0.607757i | ||||
\(670\) | −0.989705 | + | 0.571407i | −0.0382356 | + | 0.0220754i | ||||
\(671\) | − | 33.0250i | − | 1.27492i | ||||||
\(672\) | −5.47608 | + | 7.20469i | −0.211245 | + | 0.277927i | ||||
\(673\) | 26.4082i | 1.01796i | 0.860778 | + | 0.508981i | \(0.169978\pi\) | ||||
−0.860778 | + | 0.508981i | \(0.830022\pi\) | |||||||
\(674\) | 1.02089 | + | 1.76822i | 0.0393230 | + | 0.0681095i | ||||
\(675\) | 8.39348 | + | 4.84598i | 0.323065 | + | 0.186522i | ||||
\(676\) | 10.0973 | − | 17.4891i | 0.388358 | − | 0.672657i | ||||
\(677\) | 18.3090 | + | 31.7121i | 0.703672 | + | 1.21880i | 0.967169 | + | 0.254135i | \(0.0817907\pi\) |
−0.263497 | + | 0.964660i | \(0.584876\pi\) | |||||||
\(678\) | − | 1.55284i | − | 0.0596365i | ||||||
\(679\) | −4.21112 | − | 10.0362i | −0.161608 | − | 0.385155i | ||||
\(680\) | − | 0.761143i | − | 0.0291885i | ||||||
\(681\) | 1.28666 | + | 2.22856i | 0.0493048 | + | 0.0853984i | ||||
\(682\) | 3.93981 | + | 2.27465i | 0.150863 | + | 0.0871008i | ||||
\(683\) | −23.9055 | − | 13.8019i | −0.914719 | − | 0.528113i | −0.0327727 | − | 0.999463i | \(-0.510434\pi\) |
−0.881947 | + | 0.471349i | \(0.843767\pi\) | |||||||
\(684\) | 19.0345 | − | 10.9896i | 0.727804 | − | 0.420198i | ||||
\(685\) | 12.8316i | 0.490269i | ||||||||
\(686\) | 2.37189 | − | 0.345502i | 0.0905593 | − | 0.0131913i | ||||
\(687\) | −0.115021 | −0.00438833 | ||||||||
\(688\) | −4.77032 | − | 8.26244i | −0.181867 | − | 0.315002i | ||||
\(689\) | −8.82666 | + | 15.2882i | −0.336269 | + | 0.582435i | ||||
\(690\) | −1.82146 | − | 1.05162i | −0.0693418 | − | 0.0400345i | ||||
\(691\) | −8.34107 | + | 4.81572i | −0.317309 | + | 0.183199i | −0.650193 | − | 0.759769i | \(-0.725312\pi\) |
0.332883 | + | 0.942968i | \(0.391978\pi\) | |||||||
\(692\) | 6.70935 | 0.255051 | ||||||||
\(693\) | −9.74602 | − | 23.2273i | −0.370221 | − | 0.882333i | ||||
\(694\) | − | 3.24906i | − | 0.123333i | ||||||
\(695\) | −1.35309 | − | 2.34362i | −0.0513256 | − | 0.0888986i | ||||
\(696\) | −0.0924615 | + | 0.160148i | −0.00350474 | + | 0.00607039i | ||||
\(697\) | 10.4601 | + | 0.607700i | 0.396203 | + | 0.0230183i | ||||
\(698\) | −0.724723 | − | 1.25526i | −0.0274312 | − | 0.0475122i | ||||
\(699\) | −9.09210 | −0.343895 | ||||||||
\(700\) | −17.4863 | − | 13.2909i | −0.660921 | − | 0.502347i | ||||
\(701\) | 37.3530 | 1.41080 | 0.705402 | − | 0.708808i | \(-0.250767\pi\) | ||||
0.705402 | + | 0.708808i | \(0.250767\pi\) | |||||||
\(702\) | −0.251494 | − | 0.435600i | −0.00949203 | − | 0.0164407i | ||||
\(703\) | 40.4095 | + | 23.3304i | 1.52407 | + | 0.879924i | ||||
\(704\) | 31.9677 | + | 18.4565i | 1.20483 | + | 0.695607i | ||||
\(705\) | −8.18740 | − | 14.1810i | −0.308355 | − | 0.534087i | ||||
\(706\) | 1.45616 | 0.0548031 | ||||||||
\(707\) | −2.35594 | − | 0.299188i | −0.0886042 | − | 0.0112521i | ||||
\(708\) | 21.3012i | 0.800547i | ||||||||
\(709\) | 23.5622 | − | 13.6036i | 0.884895 | − | 0.510895i | 0.0126261 | − | 0.999920i | \(-0.495981\pi\) |
0.872269 | + | 0.489026i | \(0.162648\pi\) | |||||||
\(710\) | 0.0491552 | + | 0.0283797i | 0.00184476 | + | 0.00106507i | ||||
\(711\) | 8.45465 | + | 4.88129i | 0.317074 | + | 0.183063i | ||||
\(712\) | −4.53552 | + | 2.61858i | −0.169976 | + | 0.0981356i | ||||
\(713\) | 58.5319 | 2.19204 | ||||||||
\(714\) | −0.157215 | + | 1.23798i | −0.00588363 | + | 0.0463303i | ||||
\(715\) | 7.35517 | 0.275068 | ||||||||
\(716\) | −22.9761 | + | 13.2652i | −0.858656 | + | 0.495745i | ||||
\(717\) | 1.21249 | − | 2.10009i | 0.0452811 | − | 0.0784292i | ||||
\(718\) | 0.155620 | − | 0.269542i | 0.00580769 | − | 0.0100592i | ||||
\(719\) | −39.6503 | + | 22.8921i | −1.47871 | + | 0.853732i | −0.999710 | − | 0.0240842i | \(-0.992333\pi\) |
−0.478997 | + | 0.877816i | \(0.659000\pi\) | |||||||
\(720\) | 6.89813 | 0.257078 | ||||||||
\(721\) | −26.3671 | − | 20.0409i | −0.981964 | − | 0.746363i | ||||
\(722\) | 1.67706 | 0.0624137 | ||||||||
\(723\) | 54.6119 | − | 31.5302i | 2.03104 | − | 1.17262i | ||||
\(724\) | −2.51470 | − | 1.45187i | −0.0934582 | − | 0.0539581i | ||||
\(725\) | −0.583854 | − | 0.337088i | −0.0216838 | − | 0.0125191i | ||||
\(726\) | 3.14166 | − | 1.81384i | 0.116598 | − | 0.0673179i | ||||
\(727\) | 35.5564i | 1.31871i | 0.751830 | + | 0.659357i | \(0.229172\pi\) | ||||
−0.751830 | + | 0.659357i | \(0.770828\pi\) | |||||||
\(728\) | 0.885792 | + | 2.11108i | 0.0328296 | + | 0.0782417i | ||||
\(729\) | 6.16839 | 0.228459 | ||||||||
\(730\) | −0.238703 | − | 0.413445i | −0.00883478 | − | 0.0153023i | ||||
\(731\) | −3.46690 | − | 2.00162i | −0.128228 | − | 0.0740325i | ||||
\(732\) | −26.0129 | − | 15.0186i | −0.961465 | − | 0.555102i | ||||
\(733\) | 14.0705 | + | 24.3708i | 0.519706 | + | 0.900158i | 0.999738 | + | 0.0229063i | \(0.00729193\pi\) |
−0.480031 | + | 0.877251i | \(0.659375\pi\) | |||||||
\(734\) | −3.19848 | −0.118058 | ||||||||
\(735\) | −10.0377 | − | 9.85534i | −0.370245 | − | 0.363520i | ||||
\(736\) | −12.4193 | −0.457783 | ||||||||
\(737\) | −23.7635 | − | 41.1597i | −0.875341 | − | 1.51614i | ||||
\(738\) | 0.0942250 | − | 1.62185i | 0.00346847 | − | 0.0597012i | ||||
\(739\) | −17.8177 | + | 30.8612i | −0.655436 | + | 1.13525i | 0.326349 | + | 0.945249i | \(0.394182\pi\) |
−0.981784 | + | 0.189999i | \(0.939152\pi\) | |||||||
\(740\) | 7.38512 | + | 12.7914i | 0.271482 | + | 0.470221i | ||||
\(741\) | − | 21.1336i | − | 0.776361i | ||||||
\(742\) | 1.39339 | + | 3.32081i | 0.0511529 | + | 0.121911i | ||||
\(743\) | −25.2048 | −0.924673 | −0.462337 | − | 0.886705i | \(-0.652989\pi\) | ||||
−0.462337 | + | 0.886705i | \(0.652989\pi\) | |||||||
\(744\) | 7.19697 | − | 4.15517i | 0.263854 | − | 0.152336i | ||||
\(745\) | −14.8648 | − | 8.58219i | −0.544603 | − | 0.314427i | ||||
\(746\) | 1.79490 | − | 3.10887i | 0.0657161 | − | 0.113824i | ||||
\(747\) | 13.8424 | + | 23.9757i | 0.506467 | + | 0.877226i | ||||
\(748\) | 15.7606 | 0.576263 | ||||||||
\(749\) | 23.5658 | + | 17.9117i | 0.861077 | + | 0.654480i | ||||
\(750\) | − | 2.38909i | − | 0.0872373i | ||||||
\(751\) | −8.84293 | + | 5.10547i | −0.322683 | + | 0.186301i | −0.652588 | − | 0.757713i | \(-0.726317\pi\) |
0.329905 | + | 0.944014i | \(0.392983\pi\) | |||||||
\(752\) | −27.5195 | − | 15.8884i | −1.00353 | − | 0.579391i | ||||
\(753\) | −32.2409 | − | 18.6143i | −1.17492 | − | 0.678343i | ||||
\(754\) | 0.0174940 | + | 0.0303005i | 0.000637094 | + | 0.00110348i | ||||
\(755\) | − | 4.87793i | − | 0.177526i | ||||||
\(756\) | 12.0525 | + | 1.53059i | 0.438346 | + | 0.0556670i | ||||
\(757\) | − | 28.2391i | − | 1.02637i | −0.858279 | − | 0.513184i | \(-0.828466\pi\) | ||
0.858279 | − | 0.513184i | \(-0.171534\pi\) | |||||||
\(758\) | 0.838727 | + | 1.45272i | 0.0304639 | + | 0.0527651i | ||||
\(759\) | 43.7346 | − | 75.7506i | 1.58747 | − | 2.74957i | ||||
\(760\) | 2.27726 | + | 1.31478i | 0.0826051 | + | 0.0476921i | ||||
\(761\) | −0.515524 | − | 0.892914i | −0.0186877 | − | 0.0323681i | 0.856530 | − | 0.516097i | \(-0.172616\pi\) |
−0.875218 | + | 0.483729i | \(0.839282\pi\) | |||||||
\(762\) | 2.76694i | 0.100236i | ||||||||
\(763\) | −28.3312 | − | 3.59787i | −1.02566 | − | 0.130252i | ||||
\(764\) | − | 8.60665i | − | 0.311378i | ||||||
\(765\) | 2.50666 | − | 1.44722i | 0.0906286 | − | 0.0523244i | ||||
\(766\) | −0.0349858 | − | 0.0201990i | −0.00126409 | − | 0.000729821i | ||||
\(767\) | 7.01008 | + | 4.04727i | 0.253119 | + | 0.146139i | ||||
\(768\) | 28.3087 | − | 16.3440i | 1.02150 | − | 0.589764i | ||||
\(769\) | 26.3575 | 0.950475 | 0.475238 | − | 0.879857i | \(-0.342362\pi\) | ||||
0.475238 | + | 0.879857i | \(0.342362\pi\) | |||||||
\(770\) | 0.907957 | − | 1.19457i | 0.0327205 | − | 0.0430493i | ||||
\(771\) | 21.7816 | 0.784445 | ||||||||
\(772\) | 43.9216 | − | 25.3581i | 1.58077 | − | 0.912659i | ||||
\(773\) | −24.2943 | − | 14.0263i | −0.873804 | − | 0.504491i | −0.00519376 | − | 0.999987i | \(-0.501653\pi\) |
−0.868611 | + | 0.495495i | \(0.834987\pi\) | |||||||
\(774\) | −0.310355 | + | 0.537550i | −0.0111555 | + | 0.0193218i | ||||
\(775\) | 15.1486 | + | 26.2381i | 0.544153 | + | 0.942500i | ||||
\(776\) | − | 2.12070i | − | 0.0761289i | ||||||
\(777\) | −18.8184 | − | 44.8493i | −0.675107 | − | 1.60896i | ||||
\(778\) | −0.454439 | −0.0162924 | ||||||||
\(779\) | −19.8866 | + | 30.2457i | −0.712512 | + | 1.08367i | ||||
\(780\) | 3.34486 | − | 5.79346i | 0.119765 | − | 0.207439i | ||||
\(781\) | −1.18025 | + | 2.04426i | −0.0422327 | + | 0.0731492i | ||||
\(782\) | −1.48316 | + | 0.856303i | −0.0530377 | + | 0.0306213i | ||||
\(783\) | 0.372918 | 0.0133270 | ||||||||
\(784\) | −26.4319 | − | 6.82339i | −0.943998 | − | 0.243693i | ||||
\(785\) | − | 14.4107i | − | 0.514342i | ||||||
\(786\) | 4.46948 | − | 2.58046i | 0.159421 | − | 0.0920418i | ||||
\(787\) | −21.8779 | + | 37.8936i | −0.779861 | + | 1.35076i | 0.152160 | + | 0.988356i | \(0.451377\pi\) |
−0.932021 | + | 0.362403i | \(0.881956\pi\) | |||||||
\(788\) | −3.42688 | + | 5.93554i | −0.122078 | + | 0.211445i | ||||
\(789\) | −1.65495 | − | 2.86645i | −0.0589177 | − | 0.102048i | ||||
\(790\) | 0.581535i | 0.0206901i | ||||||||
\(791\) | 13.1431 | − | 5.51473i | 0.467313 | − | 0.196081i | ||||
\(792\) | − | 4.90805i | − | 0.174400i | ||||||
\(793\) | −9.88502 | + | 5.70712i | −0.351027 | + | 0.202666i | ||||
\(794\) | 1.32734 | + | 0.766340i | 0.0471055 | + | 0.0271964i | ||||
\(795\) | 10.5676 | − | 18.3037i | 0.374796 | − | 0.649165i | ||||
\(796\) | −28.4218 | + | 16.4093i | −1.00738 | + | 0.581613i | ||||
\(797\) | −4.67123 | −0.165464 | −0.0827318 | − | 0.996572i | \(-0.526364\pi\) | ||||
−0.0827318 | + | 0.996572i | \(0.526364\pi\) | |||||||
\(798\) | −3.43235 | − | 2.60883i | −0.121504 | − | 0.0923516i | ||||
\(799\) | −13.3335 | −0.471705 | ||||||||
\(800\) | −3.21423 | − | 5.56721i | −0.113640 | − | 0.196831i | ||||
\(801\) | −17.2475 | − | 9.95785i | −0.609410 | − | 0.351843i | ||||
\(802\) | 0.727310 | − | 1.25974i | 0.0256822 | − | 0.0444829i | ||||
\(803\) | 17.1943 | − | 9.92712i | 0.606773 | − | 0.350321i | ||||
\(804\) | −43.2271 | −1.52450 | ||||||||
\(805\) | 2.43209 | − | 19.1513i | 0.0857198 | − | 0.674996i | ||||
\(806\) | − | 1.57234i | − | 0.0553835i | ||||||
\(807\) | −40.5065 | + | 23.3864i | −1.42590 | + | 0.823241i | ||||
\(808\) | −0.400741 | − | 0.231368i | −0.0140980 | − | 0.00813950i | ||||
\(809\) | 19.1604 | + | 11.0623i | 0.673645 | + | 0.388929i | 0.797456 | − | 0.603377i | \(-0.206178\pi\) |
−0.123811 | + | 0.992306i | \(0.539512\pi\) | |||||||
\(810\) | 0.644490 | + | 1.11629i | 0.0226451 | + | 0.0392224i | ||||
\(811\) | −20.8240 | −0.731230 | −0.365615 | − | 0.930766i | \(-0.619141\pi\) | ||||
−0.365615 | + | 0.930766i | \(0.619141\pi\) | |||||||
\(812\) | −0.838379 | − | 0.106468i | −0.0294213 | − | 0.00373631i | ||||
\(813\) | − | 6.33305i | − | 0.222110i | ||||||
\(814\) | 4.49284 | − | 2.59394i | 0.157474 | − | 0.0909176i | ||||
\(815\) | −5.60786 | + | 9.71310i | −0.196435 | + | 0.340235i | ||||
\(816\) | 7.10628 | − | 12.3084i | 0.248769 | − | 0.430881i | ||||
\(817\) | 11.9773 | − | 6.91509i | 0.419032 | − | 0.241928i | ||||
\(818\) | 4.04077 | 0.141282 | ||||||||
\(819\) | −5.26815 | + | 6.93113i | −0.184084 | + | 0.242193i | ||||
\(820\) | −10.2387 | + | 5.14393i | −0.357550 | + | 0.179634i | ||||
\(821\) | 10.2115 | + | 17.6869i | 0.356385 | + | 0.617278i | 0.987354 | − | 0.158531i | \(-0.0506757\pi\) |
−0.630969 | + | 0.775808i | \(0.717342\pi\) | |||||||
\(822\) | 2.04959 | − | 3.55000i | 0.0714877 | − | 0.123820i | ||||
\(823\) | −21.8621 | − | 12.6221i | −0.762064 | − | 0.439978i | 0.0679725 | − | 0.997687i | \(-0.478347\pi\) |
−0.830036 | + | 0.557710i | \(0.811680\pi\) | |||||||
\(824\) | −3.22658 | − | 5.58860i | −0.112403 | − | 0.194688i | ||||
\(825\) | 45.2756 | 1.57629 | ||||||||
\(826\) | 1.52268 | − | 0.638907i | 0.0529810 | − | 0.0222304i | ||||
\(827\) | 17.1860i | 0.597615i | 0.954313 | + | 0.298807i | \(0.0965888\pi\) | ||||
−0.954313 | + | 0.298807i | \(0.903411\pi\) | |||||||
\(828\) | −15.7205 | − | 27.2288i | −0.546327 | − | 0.946266i | ||||
\(829\) | −16.8542 | + | 29.1924i | −0.585372 | + | 1.01389i | 0.409457 | + | 0.912330i | \(0.365718\pi\) |
−0.994829 | + | 0.101565i | \(0.967615\pi\) | |||||||
\(830\) | −0.824559 | + | 1.42818i | −0.0286209 | + | 0.0495728i | ||||
\(831\) | −24.3439 | + | 14.0550i | −0.844481 | + | 0.487562i | ||||
\(832\) | − | 12.7580i | − | 0.442305i | ||||||
\(833\) | −11.0365 | + | 3.06589i | −0.382390 | + | 0.106227i | ||||
\(834\) | 0.864519i | 0.0299358i | ||||||||
\(835\) | −2.45862 | + | 1.41949i | −0.0850841 | + | 0.0491233i | ||||
\(836\) | −27.2244 | + | 47.1541i | −0.941576 | + | 1.63086i | ||||
\(837\) | −14.5135 | − | 8.37939i | −0.501661 | − | 0.289634i | ||||
\(838\) | −1.52973 | − | 2.64957i | −0.0528437 | − | 0.0915279i | ||||
\(839\) | − | 26.6043i | − | 0.918481i | −0.888312 | − | 0.459241i | \(-0.848122\pi\) | ||
0.888312 | − | 0.459241i | \(-0.151878\pi\) | |||||||
\(840\) | −1.06051 | − | 2.52746i | −0.0365909 | − | 0.0872058i | ||||
\(841\) | 28.9741 | 0.999106 | ||||||||
\(842\) | −4.25162 | + | 2.45467i | −0.146520 | + | 0.0845936i | ||||
\(843\) | 9.59344 | − | 16.6163i | 0.330415 | − | 0.572296i | ||||
\(844\) | −38.6523 | − | 22.3159i | −1.33047 | − | 0.768146i | ||||
\(845\) | 4.59384 | + | 7.95677i | 0.158033 | + | 0.273721i | ||||
\(846\) | 2.06739i | 0.0710782i | ||||||||
\(847\) | 26.5094 | + | 20.1490i | 0.910872 | + | 0.692328i | ||||
\(848\) | − | 41.0150i | − | 1.40846i | ||||||
\(849\) | 17.5611 | − | 10.1389i | 0.602697 | − | 0.347967i | ||||
\(850\) | −0.767710 | − | 0.443237i | −0.0263322 | − | 0.0152029i | ||||
\(851\) | 33.3740 | − | 57.8055i | 1.14405 | − | 1.98155i | ||||
\(852\) | 1.07347 | + | 1.85930i | 0.0367764 | + | 0.0636987i | ||||
\(853\) | −23.2882 | −0.797374 | −0.398687 | − | 0.917087i | \(-0.630534\pi\) | ||||
−0.398687 | + | 0.917087i | \(0.630534\pi\) | |||||||
\(854\) | −0.293349 | + | 2.30996i | −0.0100382 | + | 0.0790453i | ||||
\(855\) | 9.99958i | 0.341979i | ||||||||
\(856\) | 2.88378 | + | 4.99485i | 0.0985656 | + | 0.170721i | ||||
\(857\) | 13.1877 | − | 22.8418i | 0.450483 | − | 0.780259i | −0.547933 | − | 0.836522i | \(-0.684585\pi\) |
0.998416 | + | 0.0562628i | \(0.0179185\pi\) | |||||||
\(858\) | −2.03489 | − | 1.17484i | −0.0694700 | − | 0.0401085i | ||||
\(859\) | −14.0228 | − | 24.2882i | −0.478451 | − | 0.828702i | 0.521243 | − | 0.853408i | \(-0.325468\pi\) |
−0.999695 | + | 0.0247058i | \(0.992135\pi\) | |||||||
\(860\) | 4.37787 | 0.149284 | ||||||||
\(861\) | 35.5806 | − | 12.5561i | 1.21258 | − | 0.427912i | ||||
\(862\) | 0.433518 | 0.0147657 | ||||||||
\(863\) | −13.8266 | − | 23.9484i | −0.470663 | − | 0.815213i | 0.528774 | − | 0.848763i | \(-0.322652\pi\) |
−0.999437 | + | 0.0335501i | \(0.989319\pi\) | |||||||
\(864\) | 3.07949 | + | 1.77794i | 0.104766 | + | 0.0604868i | ||||
\(865\) | −1.52623 | + | 2.64351i | −0.0518935 | + | 0.0898821i | ||||
\(866\) | −0.594094 | − | 1.02900i | −0.0201881 | − | 0.0349669i | ||||
\(867\) | 31.8987i | 1.08334i | ||||||||
\(868\) | 30.2364 | + | 22.9818i | 1.02629 | + | 0.780053i | ||||
\(869\) | −24.1848 | −0.820412 | ||||||||
\(870\) | −0.0209445 | − | 0.0362770i | −0.000710086 | − | 0.00122991i | ||||
\(871\) | −8.21325 | + | 14.2258i | −0.278295 | + | 0.482021i | ||||
\(872\) | −4.81910 | − | 2.78231i | −0.163195 | − | 0.0942208i | ||||
\(873\) | 6.98409 | − | 4.03227i | 0.236376 | − | 0.136472i | ||||
\(874\) | − | 5.91663i | − | 0.200133i | ||||||
\(875\) | 20.2210 | − | 8.48458i | 0.683594 | − | 0.286831i | ||||
\(876\) | − | 18.0579i | − | 0.610121i | ||||||
\(877\) | 10.4582 | + | 18.1141i | 0.353147 | + | 0.611668i | 0.986799 | − | 0.161950i | \(-0.0517783\pi\) |
−0.633652 | + | 0.773618i | \(0.718445\pi\) | |||||||
\(878\) | −1.60579 | − | 0.927102i | −0.0541927 | − | 0.0312882i | ||||
\(879\) | 25.8506 | − | 44.7746i | 0.871920 | − | 1.51021i | ||||
\(880\) | −14.7992 | + | 8.54434i | −0.498882 | + | 0.288030i | ||||
\(881\) | −44.4402 | −1.49723 | −0.748614 | − | 0.663006i | \(-0.769280\pi\) | ||||
−0.748614 | + | 0.663006i | \(0.769280\pi\) | |||||||
\(882\) | 0.475373 | + | 1.71122i | 0.0160066 | + | 0.0576199i | ||||
\(883\) | 0.978192i | 0.0329188i | 0.999865 | + | 0.0164594i | \(0.00523942\pi\) | ||||
−0.999865 | + | 0.0164594i | \(0.994761\pi\) | |||||||
\(884\) | −2.72361 | − | 4.71744i | −0.0916050 | − | 0.158665i | ||||
\(885\) | −8.39275 | − | 4.84556i | −0.282119 | − | 0.162882i | ||||
\(886\) | −1.14215 | + | 1.97826i | −0.0383712 | + | 0.0664609i | ||||
\(887\) | −37.7514 | + | 21.7958i | −1.26757 | + | 0.731831i | −0.974527 | − | 0.224269i | \(-0.928000\pi\) |
−0.293041 | + | 0.956100i | \(0.594667\pi\) | |||||||
\(888\) | − | 9.47688i | − | 0.318023i | ||||||
\(889\) | −23.4191 | + | 9.82647i | −0.785450 | + | 0.329569i | ||||
\(890\) | − | 1.18633i | − | 0.0397659i | ||||||
\(891\) | −46.4241 | + | 26.8029i | −1.55526 | + | 0.897932i | ||||
\(892\) | −13.9979 | + | 24.2450i | −0.468684 | + | 0.811784i | ||||
\(893\) | 23.0320 | − | 39.8925i | 0.770735 | − | 1.33495i | ||||
\(894\) | 2.74167 | + | 4.74872i | 0.0916953 | + | 0.158821i | ||||
\(895\) | − | 12.0702i | − | 0.403463i | ||||||
\(896\) | −8.54181 | − | 6.49239i | −0.285362 | − | 0.216895i | ||||
\(897\) | −30.2314 | −1.00940 | ||||||||
\(898\) | 1.15224 | + | 1.99573i | 0.0384506 | + | 0.0665984i | ||||
\(899\) | 1.00957 | + | 0.582873i | 0.0336709 | + | 0.0194399i | ||||
\(900\) | 8.13723 | − | 14.0941i | 0.271241 | − | 0.469803i | ||||
\(901\) | −8.60490 | − | 14.9041i | −0.286671 | − | 0.496529i | ||||
\(902\) | 1.80675 | + | 3.59623i | 0.0601582 | + | 0.119741i | ||||
\(903\) | −14.3011 | − | 1.81615i | −0.475912 | − | 0.0604376i | ||||
\(904\) | 2.77720 | 0.0923682 | ||||||||
\(905\) | 1.14408 | − | 0.660536i | 0.0380306 | − | 0.0219570i | ||||
\(906\) | −0.779154 | + | 1.34953i | −0.0258857 | + | 0.0448353i | ||||
\(907\) | 12.1508 | − | 21.0459i | 0.403462 | − | 0.698816i | −0.590679 | − | 0.806906i | \(-0.701140\pi\) |
0.994141 | + | 0.108090i | \(0.0344736\pi\) | |||||||
\(908\) | −1.98446 | + | 1.14573i | −0.0658567 | + | 0.0380224i | ||||
\(909\) | − | 1.75968i | − | 0.0583648i | ||||||
\(910\) | −0.514463 | − | 0.0653333i | −0.0170543 | − | 0.00216578i | ||||
\(911\) | −52.1275 | −1.72706 | −0.863531 | − | 0.504295i | \(-0.831752\pi\) | ||||
−0.863531 | + | 0.504295i | \(0.831752\pi\) | |||||||
\(912\) | 24.5504 | + | 42.5226i | 0.812946 | + | 1.40806i | ||||
\(913\) | −59.3948 | − | 34.2916i | −1.96568 | − | 1.13489i | ||||
\(914\) | −2.29578 | − | 1.32547i | −0.0759376 | − | 0.0438426i | ||||
\(915\) | 11.8347 | − | 6.83280i | 0.391245 | − | 0.225885i | ||||
\(916\) | − | 0.102423i | − | 0.00338415i | ||||||
\(917\) | 37.7135 | + | 28.6650i | 1.24541 | + | 0.946600i | ||||
\(918\) | 0.490351 | 0.0161840 | ||||||||
\(919\) | 30.4520 | − | 17.5815i | 1.00452 | − | 0.579959i | 0.0949361 | − | 0.995483i | \(-0.469735\pi\) |
0.909582 | + | 0.415525i | \(0.136402\pi\) | |||||||
\(920\) | 1.88078 | − | 3.25761i | 0.0620076 | − | 0.107400i | ||||
\(921\) | 35.4230 | + | 20.4515i | 1.16723 | + | 0.673898i | ||||
\(922\) | −0.277448 | − | 0.480555i | −0.00913728 | − | 0.0158262i | ||||
\(923\) | 0.815846 | 0.0268539 | ||||||||
\(924\) | 52.3349 | − | 21.9593i | 1.72169 | − | 0.722409i | ||||
\(925\) | 34.5500 | 1.13600 | ||||||||
\(926\) | −0.296080 | + | 0.170942i | −0.00972981 | + | 0.00561751i | ||||
\(927\) | 12.2699 | − | 21.2521i | 0.402997 | − | 0.698011i | ||||
\(928\) | −0.214210 | − | 0.123674i | −0.00703180 | − | 0.00405981i | ||||
\(929\) | −1.26901 | + | 0.732663i | −0.0416349 | + | 0.0240379i | −0.520673 | − | 0.853756i | \(-0.674319\pi\) |
0.479038 | + | 0.877794i | \(0.340986\pi\) | |||||||
\(930\) | 1.88248i | 0.0617288i | ||||||||
\(931\) | 9.89124 | − | 38.3159i | 0.324172 | − | 1.25575i | ||||
\(932\) | − | 8.09624i | − | 0.265201i | ||||||
\(933\) | 7.91663 | + | 13.7120i | 0.259179 | + | 0.448911i | ||||
\(934\) | 2.65039 | − | 4.59062i | 0.0867235 | − | 0.150210i | ||||
\(935\) | −3.58519 | + | 6.20973i | −0.117248 | + | 0.203080i | ||||
\(936\) | −1.46907 | + | 0.848170i | −0.0480182 | + | 0.0277233i | ||||
\(937\) | 9.25484i | 0.302342i | 0.988508 | + | 0.151171i | \(0.0483045\pi\) | ||||
−0.988508 | + | 0.151171i | \(0.951696\pi\) | |||||||
\(938\) | 1.29655 | + | 3.09003i | 0.0423340 | + | 0.100893i | ||||
\(939\) | −62.3116 | −2.03346 | ||||||||
\(940\) | 12.6278 | − | 7.29064i | 0.411872 | − | 0.237794i | ||||
\(941\) | 16.3404 | − | 28.3025i | 0.532683 | − | 0.922634i | −0.466589 | − | 0.884474i | \(-0.654517\pi\) |
0.999272 | − | 0.0381595i | \(-0.0121495\pi\) | |||||||
\(942\) | −2.30184 | + | 3.98690i | −0.0749979 | + | 0.129900i | ||||
\(943\) | 43.2663 | + | 28.4477i | 1.40895 | + | 0.926384i | ||||
\(944\) | −18.8065 | −0.612100 | ||||||||
\(945\) | −3.34475 | + | 4.40057i | −0.108805 | + | 0.143151i | ||||
\(946\) | − | 1.53768i | − | 0.0499942i | ||||||
\(947\) | 26.2302 | + | 45.4320i | 0.852366 | + | 1.47634i | 0.879067 | + | 0.476698i | \(0.158166\pi\) |
−0.0267011 | + | 0.999643i | \(0.508500\pi\) | |||||||
\(948\) | −10.9983 | + | 19.0497i | −0.357209 | + | 0.618704i | ||||
\(949\) | −5.94275 | − | 3.43105i | −0.192910 | − | 0.111377i | ||||
\(950\) | 2.65225 | − | 1.53128i | 0.0860502 | − | 0.0496811i | ||||
\(951\) | −36.0230 | −1.16812 | ||||||||
\(952\) | −2.21408 | − | 0.281173i | −0.0717588 | − | 0.00911287i | ||||
\(953\) | 26.3226 | 0.852672 | 0.426336 | − | 0.904565i | \(-0.359804\pi\) | ||||
0.426336 | + | 0.904565i | \(0.359804\pi\) | |||||||
\(954\) | −2.31092 | + | 1.33421i | −0.0748186 | + | 0.0431966i | ||||
\(955\) | 3.39106 | + | 1.95783i | 0.109732 | + | 0.0633538i | ||||
\(956\) | 1.87006 | + | 1.07968i | 0.0604822 | + | 0.0349194i | ||||
\(957\) | 1.50868 | − | 0.871037i | 0.0487687 | − | 0.0281566i | ||||
\(958\) | 4.81790i | 0.155659i | ||||||||
\(959\) | 37.3256 | + | 4.74010i | 1.20531 | + | 0.153066i | ||||
\(960\) | 15.2744i | 0.492980i | ||||||||
\(961\) | −10.6940 | − | 18.5226i | −0.344969 | − | 0.597504i | ||||
\(962\) | −1.55283 | − | 0.896528i | −0.0500653 | − | 0.0289052i | ||||
\(963\) | −10.9663 | + | 18.9942i | −0.353385 | + | 0.612081i | ||||
\(964\) | 28.0767 | + | 48.6302i | 0.904289 | + | 1.56627i | ||||
\(965\) | 23.0737i | 0.742769i | ||||||||
\(966\) | −3.73192 | + | 4.90995i | −0.120072 | + | 0.157975i | ||||
\(967\) | − | 15.8786i | − | 0.510622i | −0.966859 | − | 0.255311i | \(-0.917822\pi\) | ||
0.966859 | − | 0.255311i | \(-0.0821779\pi\) | |||||||
\(968\) | 3.24398 | + | 5.61874i | 0.104266 | + | 0.180593i | ||||
\(969\) | 17.8424 | + | 10.3013i | 0.573180 | + | 0.330926i | ||||
\(970\) | 0.416026 | + | 0.240193i | 0.0133578 | + | 0.00771213i | ||||
\(971\) | 15.1707 | − | 8.75884i | 0.486853 | − | 0.281084i | −0.236415 | − | 0.971652i | \(-0.575973\pi\) |
0.723268 | + | 0.690568i | \(0.242639\pi\) | |||||||
\(972\) | 34.9799i | 1.12198i | ||||||||
\(973\) | −7.31718 | + | 3.07024i | −0.234578 | + | 0.0984273i | ||||
\(974\) | −2.22047 | −0.0711483 | ||||||||
\(975\) | −7.82417 | − | 13.5519i | −0.250574 | − | 0.434007i | ||||
\(976\) | 13.2597 | − | 22.9664i | 0.424432 | − | 0.735138i | ||||
\(977\) | −49.4204 | − | 28.5329i | −1.58110 | − | 0.912847i | −0.994700 | − | 0.102824i | \(-0.967212\pi\) |
−0.586398 | − | 0.810023i | \(-0.699454\pi\) | |||||||
\(978\) | 3.10296 | − | 1.79149i | 0.0992216 | − | 0.0572856i | ||||
\(979\) | 49.3370 | 1.57682 | ||||||||
\(980\) | 8.77588 | − | 8.93824i | 0.280335 | − | 0.285522i | ||||
\(981\) | − | 21.1609i | − | 0.675616i | ||||||
\(982\) | −1.22544 | − | 2.12252i | −0.0391053 | − | 0.0677324i | ||||
\(983\) | 3.25438 | − | 5.63676i | 0.103799 | − | 0.179785i | −0.809448 | − | 0.587191i | \(-0.800234\pi\) |
0.913247 | + | 0.407407i | \(0.133567\pi\) | |||||||
\(984\) | 7.33944 | + | 0.426401i | 0.233973 | + | 0.0135932i | ||||
\(985\) | −1.55908 | − | 2.70041i | −0.0496765 | − | 0.0860423i | ||||
\(986\) | −0.0341090 | −0.00108625 | ||||||||
\(987\) | −44.2755 | + | 18.5777i | −1.40930 | + | 0.591334i | ||||
\(988\) | 18.8188 | 0.598706 | ||||||||
\(989\) | −9.89199 | − | 17.1334i | −0.314547 | − | 0.544811i | ||||
\(990\) | 0.962831 | + | 0.555891i | 0.0306008 | + | 0.0176674i | ||||
\(991\) | −31.2809 | − | 18.0601i | −0.993672 | − | 0.573697i | −0.0873021 | − | 0.996182i | \(-0.527825\pi\) |
−0.906370 | + | 0.422485i | \(0.861158\pi\) | |||||||
\(992\) | 5.55787 | + | 9.62651i | 0.176462 | + | 0.305642i | ||||
\(993\) | 26.5650 | 0.843015 | ||||||||
\(994\) | 0.100712 | − | 0.132503i | 0.00319439 | − | 0.00420275i | ||||
\(995\) | − | 14.9311i | − | 0.473347i | ||||||
\(996\) | −54.0211 | + | 31.1891i | −1.71172 | + | 0.988265i | ||||
\(997\) | 34.9995 | + | 20.2070i | 1.10844 | + | 0.639961i | 0.938426 | − | 0.345480i | \(-0.112284\pi\) |
0.170018 | + | 0.985441i | \(0.445617\pi\) | |||||||
\(998\) | 2.23744 | + | 1.29179i | 0.0708249 | + | 0.0408908i | ||||
\(999\) | −16.5508 | + | 9.55561i | −0.523644 | + | 0.302326i |
(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 | 287.2.j.a.81.15 | ✓ | 52 | |
7.2 | even | 3 | inner | 287.2.j.a.163.16 | yes | 52 | |
41.40 | even | 2 | inner | 287.2.j.a.81.16 | yes | 52 | |
287.163 | even | 6 | inner | 287.2.j.a.163.15 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.j.a.81.15 | ✓ | 52 | 1.1 | even | 1 | trivial | |
287.2.j.a.81.16 | yes | 52 | 41.40 | even | 2 | inner | |
287.2.j.a.163.15 | yes | 52 | 287.163 | even | 6 | inner | |
287.2.j.a.163.16 | yes | 52 | 7.2 | even | 3 | inner |