Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(248,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.248");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.x (of order \(10\), degree \(4\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 248.2 | ||
Character | \(\chi\) | \(=\) | 429.248 |
Dual form | 429.2.x.a.365.2 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.833208 | − | 2.56435i | −0.589167 | − | 1.81327i | −0.581849 | − | 0.813297i | \(-0.697671\pi\) |
−0.00731792 | − | 0.999973i | \(-0.502329\pi\) | |||||||
\(3\) | 1.66893 | + | 0.463321i | 0.963558 | + | 0.267499i | ||||
\(4\) | −4.26363 | + | 3.09771i | −2.13181 | + | 1.54885i | ||||
\(5\) | −3.14288 | − | 1.02118i | −1.40554 | − | 0.456687i | −0.494560 | − | 0.869143i | \(-0.664671\pi\) |
−0.910977 | + | 0.412457i | \(0.864671\pi\) | |||||||
\(6\) | −0.202449 | − | 4.66577i | −0.0826495 | − | 1.90479i | ||||
\(7\) | −1.19340 | − | 1.64257i | −0.451062 | − | 0.620833i | 0.521564 | − | 0.853212i | \(-0.325349\pi\) |
−0.972625 | + | 0.232379i | \(0.925349\pi\) | |||||||
\(8\) | 7.13336 | + | 5.18269i | 2.52202 | + | 1.83236i | ||||
\(9\) | 2.57067 | + | 1.54650i | 0.856889 | + | 0.515501i | ||||
\(10\) | 8.91030i | 2.81768i | ||||||||
\(11\) | −2.77140 | + | 1.82190i | −0.835609 | + | 0.549325i | ||||
\(12\) | −8.55093 | + | 3.19443i | −2.46844 | + | 0.922153i | ||||
\(13\) | −0.951057 | + | 0.309017i | −0.263776 | + | 0.0857059i | ||||
\(14\) | −3.21778 | + | 4.42889i | −0.859987 | + | 1.18367i | ||||
\(15\) | −4.77211 | − | 3.16045i | −1.23215 | − | 0.816024i | ||||
\(16\) | 4.08954 | − | 12.5863i | 1.02238 | − | 3.14658i | ||||
\(17\) | −2.08794 | + | 6.42601i | −0.506399 | + | 1.55854i | 0.292006 | + | 0.956416i | \(0.405677\pi\) |
−0.798406 | + | 0.602120i | \(0.794323\pi\) | |||||||
\(18\) | 1.82388 | − | 7.88065i | 0.429892 | − | 1.85749i | ||||
\(19\) | −1.52286 | + | 2.09603i | −0.349367 | + | 0.480862i | −0.947148 | − | 0.320797i | \(-0.896049\pi\) |
0.597781 | + | 0.801659i | \(0.296049\pi\) | |||||||
\(20\) | 16.5634 | − | 5.38177i | 3.70368 | − | 1.20340i | ||||
\(21\) | −1.23066 | − | 3.29426i | −0.268552 | − | 0.718867i | ||||
\(22\) | 6.98116 | + | 5.58882i | 1.48839 | + | 1.19154i | ||||
\(23\) | − | 5.76411i | − | 1.20190i | −0.799286 | − | 0.600950i | \(-0.794789\pi\) | ||
0.799286 | − | 0.600950i | \(-0.205211\pi\) | |||||||
\(24\) | 9.50384 | + | 11.9546i | 1.93996 | + | 2.44022i | ||||
\(25\) | 4.78978 | + | 3.47998i | 0.957956 | + | 0.695995i | ||||
\(26\) | 1.58486 | + | 2.18137i | 0.310816 | + | 0.427801i | ||||
\(27\) | 3.57374 | + | 3.77205i | 0.687767 | + | 0.725932i | ||||
\(28\) | 10.1764 | + | 3.30651i | 1.92316 | + | 0.624872i | ||||
\(29\) | −5.83818 | + | 4.24168i | −1.08412 | + | 0.787661i | −0.978397 | − | 0.206735i | \(-0.933716\pi\) |
−0.105725 | + | 0.994395i | \(0.533716\pi\) | |||||||
\(30\) | −4.12833 | + | 14.8707i | −0.753727 | + | 2.71500i | ||||
\(31\) | −0.868993 | − | 2.67449i | −0.156076 | − | 0.480352i | 0.842193 | − | 0.539177i | \(-0.181265\pi\) |
−0.998268 | + | 0.0588251i | \(0.981265\pi\) | |||||||
\(32\) | −18.0485 | −3.19056 | ||||||||
\(33\) | −5.46941 | + | 1.75658i | −0.952102 | + | 0.305782i | ||||
\(34\) | 18.2182 | 3.12440 | ||||||||
\(35\) | 2.07334 | + | 6.38107i | 0.350458 | + | 1.07860i | ||||
\(36\) | −15.7510 | + | 1.36946i | −2.62516 | + | 0.228243i | ||||
\(37\) | −1.72134 | + | 1.25063i | −0.282987 | + | 0.205602i | −0.720219 | − | 0.693747i | \(-0.755959\pi\) |
0.437232 | + | 0.899349i | \(0.355959\pi\) | |||||||
\(38\) | 6.64381 | + | 2.15871i | 1.07777 | + | 0.350188i | ||||
\(39\) | −1.73042 | + | 0.0750836i | −0.277089 | + | 0.0120230i | ||||
\(40\) | −17.1268 | − | 23.5730i | −2.70798 | − | 3.72722i | ||||
\(41\) | 1.31152 | + | 0.952878i | 0.204826 | + | 0.148814i | 0.685469 | − | 0.728101i | \(-0.259597\pi\) |
−0.480644 | + | 0.876916i | \(0.659597\pi\) | |||||||
\(42\) | −7.42225 | + | 5.90065i | −1.14528 | + | 0.910490i | ||||
\(43\) | 0.343293i | 0.0523517i | 0.999657 | + | 0.0261759i | \(0.00833298\pi\) | ||||
−0.999657 | + | 0.0261759i | \(0.991667\pi\) | |||||||
\(44\) | 6.17250 | − | 16.3529i | 0.930539 | − | 2.46529i | ||||
\(45\) | −6.50003 | − | 7.48559i | −0.968967 | − | 1.11589i | ||||
\(46\) | −14.7812 | + | 4.80271i | −2.17937 | + | 0.708121i | ||||
\(47\) | −0.933118 | + | 1.28433i | −0.136109 | + | 0.187338i | −0.871631 | − | 0.490163i | \(-0.836937\pi\) |
0.735521 | + | 0.677501i | \(0.236937\pi\) | |||||||
\(48\) | 12.6567 | − | 19.1109i | 1.82683 | − | 2.75842i | ||||
\(49\) | 0.889279 | − | 2.73692i | 0.127040 | − | 0.390989i | ||||
\(50\) | 4.93300 | − | 15.1822i | 0.697632 | − | 2.14709i | ||||
\(51\) | −6.46193 | + | 9.75719i | −0.904852 | + | 1.36628i | ||||
\(52\) | 3.09771 | − | 4.26363i | 0.429574 | − | 0.591259i | ||||
\(53\) | −0.0481402 | + | 0.0156417i | −0.00661256 | + | 0.00214855i | −0.312321 | − | 0.949976i | \(-0.601107\pi\) |
0.305709 | + | 0.952125i | \(0.401107\pi\) | |||||||
\(54\) | 6.69520 | − | 12.3072i | 0.911101 | − | 1.67480i | ||||
\(55\) | 10.5707 | − | 2.89591i | 1.42535 | − | 0.390485i | ||||
\(56\) | − | 17.9020i | − | 2.39226i | ||||||
\(57\) | −3.51268 | + | 2.79256i | −0.465265 | + | 0.369884i | ||||
\(58\) | 15.7416 | + | 11.4369i | 2.06697 | + | 1.50174i | ||||
\(59\) | −4.56786 | − | 6.28712i | −0.594684 | − | 0.818513i | 0.400524 | − | 0.916286i | \(-0.368828\pi\) |
−0.995209 | + | 0.0977733i | \(0.968828\pi\) | |||||||
\(60\) | 30.1366 | − | 1.30764i | 3.89062 | − | 0.168815i | ||||
\(61\) | −9.51144 | − | 3.09046i | −1.21782 | − | 0.395692i | −0.371530 | − | 0.928421i | \(-0.621167\pi\) |
−0.846286 | + | 0.532729i | \(0.821167\pi\) | |||||||
\(62\) | −6.13427 | + | 4.45681i | −0.779053 | + | 0.566015i | ||||
\(63\) | −0.527586 | − | 6.06809i | −0.0664696 | − | 0.764508i | ||||
\(64\) | 6.85909 | + | 21.1101i | 0.857386 | + | 2.63876i | ||||
\(65\) | 3.30462 | 0.409887 | ||||||||
\(66\) | 9.06165 | + | 12.5619i | 1.11541 | + | 1.54626i | ||||
\(67\) | −10.7954 | −1.31887 | −0.659433 | − | 0.751763i | \(-0.729204\pi\) | ||||
−0.659433 | + | 0.751763i | \(0.729204\pi\) | |||||||
\(68\) | −11.0037 | − | 33.8659i | −1.33440 | − | 4.10685i | ||||
\(69\) | 2.67064 | − | 9.61991i | 0.321507 | − | 1.15810i | ||||
\(70\) | 14.6358 | − | 10.6335i | 1.74931 | − | 1.27095i | ||||
\(71\) | −0.547582 | − | 0.177920i | −0.0649860 | − | 0.0211152i | 0.276344 | − | 0.961059i | \(-0.410877\pi\) |
−0.341330 | + | 0.939944i | \(0.610877\pi\) | |||||||
\(72\) | 10.3224 | + | 24.3547i | 1.21651 | + | 2.87023i | ||||
\(73\) | 3.36450 | + | 4.63084i | 0.393785 | + | 0.541999i | 0.959171 | − | 0.282828i | \(-0.0912725\pi\) |
−0.565385 | + | 0.824827i | \(0.691272\pi\) | |||||||
\(74\) | 4.64129 | + | 3.37209i | 0.539539 | + | 0.391998i | ||||
\(75\) | 6.38146 | + | 8.02705i | 0.736868 | + | 0.926884i | ||||
\(76\) | − | 13.6540i | − | 1.56623i | ||||||
\(77\) | 6.29999 | + | 2.37797i | 0.717950 | + | 0.270994i | ||||
\(78\) | 1.63434 | + | 4.37485i | 0.185053 | + | 0.495354i | ||||
\(79\) | −6.35236 | + | 2.06401i | −0.714696 | + | 0.232219i | −0.643722 | − | 0.765259i | \(-0.722611\pi\) |
−0.0709741 | + | 0.997478i | \(0.522611\pi\) | |||||||
\(80\) | −25.7058 | + | 35.3810i | −2.87400 | + | 3.95572i | ||||
\(81\) | 4.21666 | + | 7.95109i | 0.468517 | + | 0.883454i | ||||
\(82\) | 1.35074 | − | 4.15715i | 0.149164 | − | 0.459081i | ||||
\(83\) | −0.547806 | + | 1.68597i | −0.0601295 | + | 0.185060i | −0.976609 | − | 0.215021i | \(-0.931018\pi\) |
0.916480 | + | 0.400081i | \(0.131018\pi\) | |||||||
\(84\) | 15.4517 | + | 10.2333i | 1.68592 | + | 1.11654i | ||||
\(85\) | 13.1243 | − | 18.0640i | 1.42353 | − | 1.95932i | ||||
\(86\) | 0.880324 | − | 0.286035i | 0.0949278 | − | 0.0308439i | ||||
\(87\) | −11.7088 | + | 4.37413i | −1.25531 | + | 0.468956i | ||||
\(88\) | −29.2118 | − | 1.36702i | −3.11398 | − | 0.145724i | ||||
\(89\) | − | 7.60012i | − | 0.805611i | −0.915286 | − | 0.402806i | \(-0.868035\pi\) | ||
0.915286 | − | 0.402806i | \(-0.131965\pi\) | |||||||
\(90\) | −13.7798 | + | 22.9054i | −1.45252 | + | 2.41444i | ||||
\(91\) | 1.64257 | + | 1.19340i | 0.172188 | + | 0.125102i | ||||
\(92\) | 17.8555 | + | 24.5760i | 1.86157 | + | 2.56223i | ||||
\(93\) | −0.211144 | − | 4.86616i | −0.0218946 | − | 0.504597i | ||||
\(94\) | 4.07095 | + | 1.32273i | 0.419886 | + | 0.136429i | ||||
\(95\) | 6.92658 | − | 5.03245i | 0.710652 | − | 0.516319i | ||||
\(96\) | −30.1217 | − | 8.36226i | −3.07429 | − | 0.853469i | ||||
\(97\) | −3.75814 | − | 11.5664i | −0.381581 | − | 1.17439i | −0.938930 | − | 0.344108i | \(-0.888181\pi\) |
0.557349 | − | 0.830279i | \(-0.311819\pi\) | |||||||
\(98\) | −7.75938 | −0.783816 | ||||||||
\(99\) | −9.94193 | + | 0.397527i | −0.999202 | + | 0.0399529i | ||||
\(100\) | −31.2018 | −3.12018 | ||||||||
\(101\) | −5.58340 | − | 17.1839i | −0.555569 | − | 1.70987i | −0.694435 | − | 0.719556i | \(-0.744346\pi\) |
0.138865 | − | 0.990311i | \(-0.455654\pi\) | |||||||
\(102\) | 30.4050 | + | 8.44089i | 3.01054 | + | 0.835773i | ||||
\(103\) | −6.12348 | + | 4.44897i | −0.603365 | + | 0.438370i | −0.847072 | − | 0.531479i | \(-0.821636\pi\) |
0.243707 | + | 0.969849i | \(0.421636\pi\) | |||||||
\(104\) | −8.38576 | − | 2.72470i | −0.822292 | − | 0.267179i | ||||
\(105\) | 0.503770 | + | 11.6102i | 0.0491629 | + | 1.13304i | ||||
\(106\) | 0.0802216 | + | 0.110416i | 0.00779181 | + | 0.0107245i | ||||
\(107\) | −2.99144 | − | 2.17341i | −0.289194 | − | 0.210112i | 0.433724 | − | 0.901046i | \(-0.357199\pi\) |
−0.722918 | + | 0.690934i | \(0.757199\pi\) | |||||||
\(108\) | −26.9218 | − | 5.01223i | −2.59055 | − | 0.482302i | ||||
\(109\) | 9.38660i | 0.899073i | 0.893262 | + | 0.449537i | \(0.148411\pi\) | ||||
−0.893262 | + | 0.449537i | \(0.851589\pi\) | |||||||
\(110\) | −16.2337 | − | 24.6940i | −1.54782 | − | 2.35448i | ||||
\(111\) | −3.45225 | + | 1.28968i | −0.327673 | + | 0.122411i | ||||
\(112\) | −25.5543 | + | 8.30310i | −2.41466 | + | 0.784570i | ||||
\(113\) | −8.81558 | + | 12.1336i | −0.829300 | + | 1.14143i | 0.158753 | + | 0.987318i | \(0.449253\pi\) |
−0.988053 | + | 0.154115i | \(0.950747\pi\) | |||||||
\(114\) | 10.0879 | + | 6.68095i | 0.944818 | + | 0.625729i | ||||
\(115\) | −5.88621 | + | 18.1159i | −0.548892 | + | 1.68932i | ||||
\(116\) | 11.7523 | − | 36.1699i | 1.09117 | − | 3.35829i | ||||
\(117\) | −2.92275 | − | 0.676432i | −0.270208 | − | 0.0625362i | ||||
\(118\) | −12.3164 | + | 16.9521i | −1.13382 | + | 1.56056i | ||||
\(119\) | 13.0469 | − | 4.23920i | 1.19601 | − | 0.388607i | ||||
\(120\) | −17.6616 | − | 47.2770i | −1.61227 | − | 4.31578i | ||||
\(121\) | 4.36133 | − | 10.0985i | 0.396485 | − | 0.918041i | ||||
\(122\) | 26.9657i | 2.44136i | ||||||||
\(123\) | 1.74735 | + | 2.19794i | 0.157554 | + | 0.198182i | ||||
\(124\) | 11.9898 | + | 8.71112i | 1.07672 | + | 0.782282i | ||||
\(125\) | −1.78797 | − | 2.46092i | −0.159921 | − | 0.220112i | ||||
\(126\) | −15.1211 | + | 6.40890i | −1.34710 | + | 0.570950i | ||||
\(127\) | 1.80698 | + | 0.587122i | 0.160343 | + | 0.0520986i | 0.388089 | − | 0.921622i | \(-0.373135\pi\) |
−0.227746 | + | 0.973721i | \(0.573135\pi\) | |||||||
\(128\) | 19.2155 | − | 13.9609i | 1.69843 | − | 1.23398i | ||||
\(129\) | −0.159055 | + | 0.572933i | −0.0140040 | + | 0.0504439i | ||||
\(130\) | −2.75343 | − | 8.47420i | −0.241492 | − | 0.743236i | ||||
\(131\) | 13.0471 | 1.13993 | 0.569963 | − | 0.821670i | \(-0.306957\pi\) | ||||
0.569963 | + | 0.821670i | \(0.306957\pi\) | |||||||
\(132\) | 17.8781 | − | 24.4320i | 1.55609 | − | 2.12654i | ||||
\(133\) | 5.26025 | 0.456121 | ||||||||
\(134\) | 8.99480 | + | 27.6831i | 0.777032 | + | 2.39146i | ||||
\(135\) | −7.37987 | − | 15.5045i | −0.635158 | − | 1.33442i | ||||
\(136\) | −48.1980 | + | 35.0179i | −4.13294 | + | 3.00276i | ||||
\(137\) | 15.2874 | + | 4.96719i | 1.30609 | + | 0.424376i | 0.877698 | − | 0.479215i | \(-0.159079\pi\) |
0.428397 | + | 0.903591i | \(0.359079\pi\) | |||||||
\(138\) | −26.8940 | + | 1.16694i | −2.28937 | + | 0.0993366i | ||||
\(139\) | 3.37721 | + | 4.64832i | 0.286451 | + | 0.394266i | 0.927857 | − | 0.372936i | \(-0.121649\pi\) |
−0.641406 | + | 0.767201i | \(0.721649\pi\) | |||||||
\(140\) | −28.6066 | − | 20.7839i | −2.41770 | − | 1.75656i | ||||
\(141\) | −2.15237 | + | 1.71112i | −0.181262 | + | 0.144102i | ||||
\(142\) | 1.55244i | 0.130278i | ||||||||
\(143\) | 2.07276 | − | 2.58914i | 0.173333 | − | 0.216515i | ||||
\(144\) | 29.9776 | − | 26.0307i | 2.49813 | − | 2.16923i | ||||
\(145\) | 22.6802 | − | 7.36924i | 1.88349 | − | 0.611982i | ||||
\(146\) | 9.07177 | − | 12.4862i | 0.750785 | − | 1.03337i | ||||
\(147\) | 2.75222 | − | 4.15571i | 0.226999 | − | 0.342757i | ||||
\(148\) | 3.46508 | − | 10.6644i | 0.284828 | − | 0.876610i | ||||
\(149\) | −5.45208 | + | 16.7798i | −0.446652 | + | 1.37465i | 0.434010 | + | 0.900908i | \(0.357098\pi\) |
−0.880662 | + | 0.473746i | \(0.842902\pi\) | |||||||
\(150\) | 15.2671 | − | 23.0525i | 1.24655 | − | 1.88223i | ||||
\(151\) | 6.73616 | − | 9.27153i | 0.548181 | − | 0.754506i | −0.441583 | − | 0.897220i | \(-0.645583\pi\) |
0.989764 | + | 0.142714i | \(0.0455830\pi\) | |||||||
\(152\) | −21.7261 | + | 7.05925i | −1.76222 | + | 0.572581i | ||||
\(153\) | −15.3052 | + | 13.2901i | −1.23736 | + | 1.07444i | ||||
\(154\) | 0.848739 | − | 18.1367i | 0.0683934 | − | 1.46150i | ||||
\(155\) | 9.29298i | 0.746430i | ||||||||
\(156\) | 7.14529 | − | 5.68047i | 0.572081 | − | 0.454801i | ||||
\(157\) | 15.4007 | + | 11.1893i | 1.22911 | + | 0.893002i | 0.996823 | − | 0.0796447i | \(-0.0253786\pi\) |
0.232289 | + | 0.972647i | \(0.425379\pi\) | |||||||
\(158\) | 10.5857 | + | 14.5699i | 0.842151 | + | 1.15912i | ||||
\(159\) | −0.0875898 | + | 0.00380055i | −0.00694632 | + | 0.000301403i | ||||
\(160\) | 56.7242 | + | 18.4308i | 4.48444 | + | 1.45708i | ||||
\(161\) | −9.46796 | + | 6.87888i | −0.746180 | + | 0.542131i | ||||
\(162\) | 16.8760 | − | 17.4379i | 1.32591 | − | 1.37005i | ||||
\(163\) | 1.59340 | + | 4.90397i | 0.124804 | + | 0.384109i | 0.993865 | − | 0.110596i | \(-0.0352761\pi\) |
−0.869061 | + | 0.494705i | \(0.835276\pi\) | |||||||
\(164\) | −8.54358 | −0.667141 | ||||||||
\(165\) | 18.9835 | + | 0.0645350i | 1.47786 | + | 0.00502405i | ||||
\(166\) | 4.77987 | 0.370990 | ||||||||
\(167\) | 4.83954 | + | 14.8946i | 0.374495 | + | 1.15258i | 0.943819 | + | 0.330463i | \(0.107205\pi\) |
−0.569324 | + | 0.822113i | \(0.692795\pi\) | |||||||
\(168\) | 8.29440 | − | 29.8773i | 0.639927 | − | 2.30508i | ||||
\(169\) | 0.809017 | − | 0.587785i | 0.0622321 | − | 0.0452143i | ||||
\(170\) | −57.2577 | − | 18.6041i | −4.39146 | − | 1.42687i | ||||
\(171\) | −7.15627 | + | 3.03310i | −0.547254 | + | 0.231947i | ||||
\(172\) | −1.06342 | − | 1.46367i | −0.0810851 | − | 0.111604i | ||||
\(173\) | −1.38031 | − | 1.00285i | −0.104943 | − | 0.0762457i | 0.534076 | − | 0.845436i | \(-0.320660\pi\) |
−0.639019 | + | 0.769191i | \(0.720660\pi\) | |||||||
\(174\) | 20.9726 | + | 26.3809i | 1.58993 | + | 1.99993i | ||||
\(175\) | − | 12.0205i | − | 0.908667i | ||||||
\(176\) | 11.5973 | + | 42.3324i | 0.874178 | + | 3.19093i | ||||
\(177\) | −4.71049 | − | 12.6092i | −0.354062 | − | 0.947762i | ||||
\(178\) | −19.4894 | + | 6.33248i | −1.46079 | + | 0.474640i | ||||
\(179\) | 2.03138 | − | 2.79595i | 0.151832 | − | 0.208979i | −0.726325 | − | 0.687352i | \(-0.758773\pi\) |
0.878157 | + | 0.478372i | \(0.158773\pi\) | |||||||
\(180\) | 50.9018 | + | 11.7806i | 3.79400 | + | 0.878073i | ||||
\(181\) | 5.56633 | − | 17.1314i | 0.413742 | − | 1.27337i | −0.499629 | − | 0.866239i | \(-0.666530\pi\) |
0.913371 | − | 0.407128i | \(-0.133470\pi\) | |||||||
\(182\) | 1.69169 | − | 5.20647i | 0.125396 | − | 0.385929i | ||||
\(183\) | −14.4421 | − | 9.56461i | −1.06759 | − | 0.707037i | ||||
\(184\) | 29.8736 | − | 41.1175i | 2.20231 | − | 3.03122i | ||||
\(185\) | 6.68709 | − | 2.17277i | 0.491645 | − | 0.159745i | ||||
\(186\) | −12.3026 | + | 4.59597i | −0.902071 | + | 0.336993i | ||||
\(187\) | −5.92106 | − | 21.6131i | −0.432991 | − | 1.58050i | ||||
\(188\) | − | 8.36642i | − | 0.610184i | ||||||
\(189\) | 1.93097 | − | 10.3717i | 0.140457 | − | 0.754428i | ||||
\(190\) | −18.6763 | − | 13.5691i | −1.35492 | − | 0.984406i | ||||
\(191\) | −1.77203 | − | 2.43899i | −0.128219 | − | 0.176479i | 0.740081 | − | 0.672518i | \(-0.234787\pi\) |
−0.868300 | + | 0.496039i | \(0.834787\pi\) | |||||||
\(192\) | 1.66659 | + | 38.4093i | 0.120276 | + | 2.77195i | ||||
\(193\) | −7.83226 | − | 2.54486i | −0.563778 | − | 0.183183i | 0.0132422 | − | 0.999912i | \(-0.495785\pi\) |
−0.577021 | + | 0.816730i | \(0.695785\pi\) | |||||||
\(194\) | −26.5289 | + | 19.2744i | −1.90467 | + | 1.38382i | ||||
\(195\) | 5.51518 | + | 1.53110i | 0.394950 | + | 0.109644i | ||||
\(196\) | 4.68662 | + | 14.4239i | 0.334758 | + | 1.03028i | ||||
\(197\) | −11.1026 | −0.791030 | −0.395515 | − | 0.918459i | \(-0.629434\pi\) | ||||
−0.395515 | + | 0.918459i | \(0.629434\pi\) | |||||||
\(198\) | 9.30310 | + | 25.1634i | 0.661142 | + | 1.78828i | ||||
\(199\) | 19.4099 | 1.37593 | 0.687966 | − | 0.725743i | \(-0.258504\pi\) | ||||
0.687966 | + | 0.725743i | \(0.258504\pi\) | |||||||
\(200\) | 16.1316 | + | 49.6478i | 1.14067 | + | 3.51063i | ||||
\(201\) | −18.0168 | − | 5.00173i | −1.27080 | − | 0.352795i | ||||
\(202\) | −39.4135 | + | 28.6356i | −2.77313 | + | 2.01479i | ||||
\(203\) | 13.9345 | + | 4.52760i | 0.978012 | + | 0.317775i | ||||
\(204\) | −2.67363 | − | 61.6182i | −0.187192 | − | 4.31413i | ||||
\(205\) | −3.14890 | − | 4.33408i | −0.219928 | − | 0.302705i | ||||
\(206\) | 16.5109 | + | 11.9958i | 1.15037 | + | 0.835790i | ||||
\(207\) | 8.91422 | − | 14.8176i | 0.619581 | − | 1.02990i | ||||
\(208\) | 13.2340i | 0.917614i | ||||||||
\(209\) | 0.401677 | − | 8.58344i | 0.0277846 | − | 0.593729i | ||||
\(210\) | 29.3529 | − | 10.9656i | 2.02554 | − | 0.756695i | ||||
\(211\) | 5.34740 | − | 1.73748i | 0.368130 | − | 0.119613i | −0.119109 | − | 0.992881i | \(-0.538004\pi\) |
0.487240 | + | 0.873268i | \(0.338004\pi\) | |||||||
\(212\) | 0.156798 | − | 0.215814i | 0.0107690 | − | 0.0148222i | ||||
\(213\) | −0.831443 | − | 0.550643i | −0.0569695 | − | 0.0377294i | ||||
\(214\) | −3.08089 | + | 9.48201i | −0.210606 | + | 0.648177i | ||||
\(215\) | 0.350565 | − | 1.07893i | 0.0239083 | − | 0.0735823i | ||||
\(216\) | 5.94339 | + | 45.4290i | 0.404396 | + | 3.09105i | ||||
\(217\) | −3.35598 | + | 4.61910i | −0.227818 | + | 0.313565i | ||||
\(218\) | 24.0705 | − | 7.82099i | 1.63026 | − | 0.529704i | ||||
\(219\) | 3.46956 | + | 9.28741i | 0.234451 | + | 0.627585i | ||||
\(220\) | −36.0987 | + | 45.0919i | −2.43377 | + | 3.04010i | ||||
\(221\) | − | 6.75671i | − | 0.454505i | ||||||
\(222\) | 6.18363 | + | 7.77820i | 0.415018 | + | 0.522039i | ||||
\(223\) | −12.5922 | − | 9.14879i | −0.843238 | − | 0.612648i | 0.0800354 | − | 0.996792i | \(-0.474497\pi\) |
−0.923273 | + | 0.384144i | \(0.874497\pi\) | |||||||
\(224\) | 21.5390 | + | 29.6459i | 1.43914 | + | 1.98080i | ||||
\(225\) | 6.93113 | + | 16.3533i | 0.462075 | + | 1.09022i | ||||
\(226\) | 38.4600 | + | 12.4964i | 2.55832 | + | 0.831250i | ||||
\(227\) | 6.98676 | − | 5.07618i | 0.463727 | − | 0.336918i | −0.331264 | − | 0.943538i | \(-0.607475\pi\) |
0.794992 | + | 0.606620i | \(0.207475\pi\) | |||||||
\(228\) | 6.32621 | − | 22.7877i | 0.418964 | − | 1.50915i | ||||
\(229\) | 3.37134 | + | 10.3759i | 0.222784 | + | 0.685660i | 0.998509 | + | 0.0545884i | \(0.0173847\pi\) |
−0.775724 | + | 0.631072i | \(0.782615\pi\) | |||||||
\(230\) | 51.3600 | 3.38658 | ||||||||
\(231\) | 9.41249 | + | 6.88758i | 0.619296 | + | 0.453170i | ||||
\(232\) | −63.6291 | −4.17746 | ||||||||
\(233\) | −2.73288 | − | 8.41093i | −0.179037 | − | 0.551018i | 0.820758 | − | 0.571276i | \(-0.193551\pi\) |
−0.999795 | + | 0.0202576i | \(0.993551\pi\) | |||||||
\(234\) | 0.700645 | + | 8.05855i | 0.0458026 | + | 0.526804i | ||||
\(235\) | 4.24421 | − | 3.08360i | 0.276862 | − | 0.201152i | ||||
\(236\) | 38.9513 | + | 12.6560i | 2.53551 | + | 0.823838i | ||||
\(237\) | −11.5580 | + | 0.501503i | −0.750770 | + | 0.0325761i | ||||
\(238\) | −21.7416 | − | 29.9247i | −1.40930 | − | 1.93973i | ||||
\(239\) | 12.3628 | + | 8.98212i | 0.799684 | + | 0.581005i | 0.910822 | − | 0.412800i | \(-0.135449\pi\) |
−0.111137 | + | 0.993805i | \(0.535449\pi\) | |||||||
\(240\) | −59.2941 | + | 47.1385i | −3.82742 | + | 3.04278i | ||||
\(241\) | − | 23.6594i | − | 1.52404i | −0.647555 | − | 0.762019i | \(-0.724208\pi\) | ||
0.647555 | − | 0.762019i | \(-0.275792\pi\) | |||||||
\(242\) | −29.5299 | − | 2.76987i | −1.89825 | − | 0.178054i | ||||
\(243\) | 3.35340 | + | 15.2235i | 0.215121 | + | 0.976587i | ||||
\(244\) | 50.1266 | − | 16.2871i | 3.20902 | − | 1.04268i | ||||
\(245\) | −5.58979 | + | 7.69369i | −0.357119 | + | 0.491532i | ||||
\(246\) | 4.18039 | − | 6.31218i | 0.266532 | − | 0.402450i | ||||
\(247\) | 0.800612 | − | 2.46403i | 0.0509417 | − | 0.156783i | ||||
\(248\) | 7.66218 | − | 23.5818i | 0.486549 | − | 1.49744i | ||||
\(249\) | −1.69540 | + | 2.55997i | −0.107442 | + | 0.162231i | ||||
\(250\) | −4.82092 | + | 6.63543i | −0.304902 | + | 0.419662i | ||||
\(251\) | 3.24095 | − | 1.05305i | 0.204567 | − | 0.0664679i | −0.204941 | − | 0.978774i | \(-0.565700\pi\) |
0.409508 | + | 0.912306i | \(0.365700\pi\) | |||||||
\(252\) | 21.0466 | + | 24.2378i | 1.32581 | + | 1.52684i | ||||
\(253\) | 10.5017 | + | 15.9747i | 0.660234 | + | 1.00432i | ||||
\(254\) | − | 5.12291i | − | 0.321440i | ||||||
\(255\) | 30.2729 | − | 24.0668i | 1.89576 | − | 1.50712i | ||||
\(256\) | −15.8966 | − | 11.5496i | −0.993537 | − | 0.721847i | ||||
\(257\) | −4.20745 | − | 5.79105i | −0.262453 | − | 0.361236i | 0.657371 | − | 0.753567i | \(-0.271669\pi\) |
−0.919824 | + | 0.392332i | \(0.871669\pi\) | |||||||
\(258\) | 1.60173 | − | 0.0694994i | 0.0997191 | − | 0.00432684i | ||||
\(259\) | 4.10849 | + | 1.33493i | 0.255289 | + | 0.0829485i | ||||
\(260\) | −14.0896 | + | 10.2367i | −0.873803 | + | 0.634855i | ||||
\(261\) | −21.5678 | + | 1.87520i | −1.33501 | + | 0.116072i | ||||
\(262\) | −10.8709 | − | 33.4572i | −0.671607 | − | 2.06699i | ||||
\(263\) | 12.4838 | 0.769781 | 0.384891 | − | 0.922962i | \(-0.374239\pi\) | ||||
0.384891 | + | 0.922962i | \(0.374239\pi\) | |||||||
\(264\) | −48.1191 | − | 15.8159i | −2.96152 | − | 0.973400i | ||||
\(265\) | 0.167272 | 0.0102754 | ||||||||
\(266\) | −4.38288 | − | 13.4891i | −0.268732 | − | 0.827071i | ||||
\(267\) | 3.52130 | − | 12.6841i | 0.215500 | − | 0.776254i | ||||
\(268\) | 46.0275 | − | 33.4409i | 2.81158 | − | 2.04273i | ||||
\(269\) | −10.8508 | − | 3.52563i | −0.661584 | − | 0.214962i | −0.0410690 | − | 0.999156i | \(-0.513076\pi\) |
−0.620515 | + | 0.784195i | \(0.713076\pi\) | |||||||
\(270\) | −33.6101 | + | 31.8431i | −2.04545 | + | 1.93791i | ||||
\(271\) | 7.94801 | + | 10.9395i | 0.482807 | + | 0.664527i | 0.979041 | − | 0.203661i | \(-0.0652842\pi\) |
−0.496234 | + | 0.868189i | \(0.665284\pi\) | |||||||
\(272\) | 72.3410 | + | 52.5588i | 4.38632 | + | 3.18685i | ||||
\(273\) | 2.18841 | + | 2.75274i | 0.132449 | + | 0.166603i | ||||
\(274\) | − | 43.3411i | − | 2.61833i | ||||||
\(275\) | −19.6146 | − | 0.917899i | −1.18280 | − | 0.0553514i | ||||
\(276\) | 18.4131 | + | 49.2886i | 1.10834 | + | 2.96682i | ||||
\(277\) | −1.97932 | + | 0.643121i | −0.118926 | + | 0.0386414i | −0.367875 | − | 0.929875i | \(-0.619915\pi\) |
0.248949 | + | 0.968516i | \(0.419915\pi\) | |||||||
\(278\) | 9.10602 | − | 12.5334i | 0.546143 | − | 0.751701i | ||||
\(279\) | 1.90221 | − | 8.21911i | 0.113882 | − | 0.492065i | ||||
\(280\) | −18.2813 | + | 56.2639i | −1.09251 | + | 3.36241i | ||||
\(281\) | −6.08173 | + | 18.7176i | −0.362806 | + | 1.11660i | 0.588538 | + | 0.808469i | \(0.299704\pi\) |
−0.951344 | + | 0.308131i | \(0.900296\pi\) | |||||||
\(282\) | 6.18128 | + | 4.09370i | 0.368090 | + | 0.243777i | ||||
\(283\) | −16.5445 | + | 22.7716i | −0.983471 | + | 1.35363i | −0.0485320 | + | 0.998822i | \(0.515454\pi\) |
−0.934939 | + | 0.354810i | \(0.884546\pi\) | |||||||
\(284\) | 2.88583 | − | 0.937663i | 0.171242 | − | 0.0556401i | ||||
\(285\) | 13.8916 | − | 5.18959i | 0.822869 | − | 0.307405i | ||||
\(286\) | −8.36651 | − | 3.15799i | −0.494722 | − | 0.186736i | ||||
\(287\) | − | 3.29143i | − | 0.194287i | ||||||
\(288\) | −46.3967 | − | 27.9121i | −2.73395 | − | 1.64473i | ||||
\(289\) | −23.1808 | − | 16.8419i | −1.36358 | − | 0.990698i | ||||
\(290\) | −37.7947 | − | 52.0199i | −2.21938 | − | 3.05471i | ||||
\(291\) | −0.913136 | − | 21.0447i | −0.0535290 | − | 1.23366i | ||||
\(292\) | −28.6900 | − | 9.32194i | −1.67895 | − | 0.545525i | ||||
\(293\) | −3.64759 | + | 2.65013i | −0.213095 | + | 0.154822i | −0.689213 | − | 0.724559i | \(-0.742043\pi\) |
0.476118 | + | 0.879381i | \(0.342043\pi\) | |||||||
\(294\) | −12.9499 | − | 3.59509i | −0.755252 | − | 0.209670i | ||||
\(295\) | 7.93592 | + | 24.4243i | 0.462047 | + | 1.42203i | ||||
\(296\) | −18.7606 | −1.09044 | ||||||||
\(297\) | −16.7766 | − | 3.94286i | −0.973476 | − | 0.228788i | ||||
\(298\) | 47.5720 | 2.75577 | ||||||||
\(299\) | 1.78121 | + | 5.48200i | 0.103010 | + | 0.317032i | ||||
\(300\) | −52.0736 | − | 14.4564i | −3.00647 | − | 0.834643i | ||||
\(301\) | 0.563883 | − | 0.409685i | 0.0325017 | − | 0.0236138i | ||||
\(302\) | −29.3881 | − | 9.54876i | −1.69109 | − | 0.549470i | ||||
\(303\) | −1.35663 | − | 31.2657i | −0.0779364 | − | 1.79617i | ||||
\(304\) | 20.1535 | + | 27.7389i | 1.15588 | + | 1.59094i | ||||
\(305\) | 26.7374 | + | 19.4258i | 1.53098 | + | 1.11232i | ||||
\(306\) | 46.8330 | + | 28.1746i | 2.67726 | + | 1.61063i | ||||
\(307\) | − | 15.8058i | − | 0.902087i | −0.892502 | − | 0.451044i | \(-0.851052\pi\) | ||
0.892502 | − | 0.451044i | \(-0.148948\pi\) | |||||||
\(308\) | −34.2270 | + | 9.37675i | −1.95027 | + | 0.534290i | ||||
\(309\) | −12.2810 | + | 4.58789i | −0.698640 | + | 0.260996i | ||||
\(310\) | 23.8305 | − | 7.74299i | 1.35348 | − | 0.439772i | ||||
\(311\) | 12.7907 | − | 17.6049i | 0.725295 | − | 0.998282i | −0.274037 | − | 0.961719i | \(-0.588359\pi\) |
0.999331 | − | 0.0365631i | \(-0.0116410\pi\) | |||||||
\(312\) | −12.7329 | − | 8.43264i | −0.720856 | − | 0.477404i | ||||
\(313\) | −5.69823 | + | 17.5373i | −0.322083 | + | 0.991269i | 0.650658 | + | 0.759371i | \(0.274493\pi\) |
−0.972740 | + | 0.231897i | \(0.925507\pi\) | |||||||
\(314\) | 15.8612 | − | 48.8159i | 0.895102 | − | 2.75484i | ||||
\(315\) | −4.53849 | + | 19.6100i | −0.255715 | + | 1.10490i | ||||
\(316\) | 20.6904 | − | 28.4779i | 1.16393 | − | 1.60201i | ||||
\(317\) | −17.1511 | + | 5.57272i | −0.963300 | + | 0.312995i | −0.748108 | − | 0.663577i | \(-0.769038\pi\) |
−0.215192 | + | 0.976572i | \(0.569038\pi\) | |||||||
\(318\) | 0.0827265 | + | 0.221444i | 0.00463907 | + | 0.0124180i | ||||
\(319\) | 8.45199 | − | 22.3920i | 0.473221 | − | 1.25371i | ||||
\(320\) | − | 73.3508i | − | 4.10043i | ||||||
\(321\) | −3.98553 | − | 5.01327i | −0.222450 | − | 0.279814i | ||||
\(322\) | 25.5286 | + | 18.5476i | 1.42266 | + | 1.03362i | ||||
\(323\) | −10.2895 | − | 14.1623i | −0.572522 | − | 0.788009i | ||||
\(324\) | −42.6084 | − | 20.8385i | −2.36713 | − | 1.15770i | ||||
\(325\) | −5.63072 | − | 1.82953i | −0.312336 | − | 0.101484i | ||||
\(326\) | 11.2479 | − | 8.17206i | 0.622962 | − | 0.452608i | ||||
\(327\) | −4.34901 | + | 15.6656i | −0.240501 | + | 0.866309i | ||||
\(328\) | 4.41710 | + | 13.5944i | 0.243893 | + | 0.750627i | ||||
\(329\) | 3.22318 | 0.177700 | ||||||||
\(330\) | −15.6517 | − | 48.7340i | −0.861597 | − | 2.68272i | ||||
\(331\) | −19.6381 | −1.07941 | −0.539703 | − | 0.841856i | \(-0.681463\pi\) | ||||
−0.539703 | + | 0.841856i | \(0.681463\pi\) | |||||||
\(332\) | −2.88701 | − | 8.88530i | −0.158445 | − | 0.487644i | ||||
\(333\) | −6.35910 | + | 0.552888i | −0.348477 | + | 0.0302981i | ||||
\(334\) | 34.1626 | − | 24.8206i | 1.86929 | − | 1.35812i | ||||
\(335\) | 33.9286 | + | 11.0241i | 1.85372 | + | 0.602309i | ||||
\(336\) | −46.4954 | + | 2.01745i | −2.53653 | + | 0.110061i | ||||
\(337\) | −13.8865 | − | 19.1131i | −0.756444 | − | 1.04116i | −0.997502 | − | 0.0706451i | \(-0.977494\pi\) |
0.241057 | − | 0.970511i | \(-0.422506\pi\) | |||||||
\(338\) | −2.18137 | − | 1.58486i | −0.118651 | − | 0.0862048i | ||||
\(339\) | −20.3344 | + | 16.1657i | −1.10441 | + | 0.878001i | ||||
\(340\) | 117.673i | 6.38173i | ||||||||
\(341\) | 7.28098 | + | 5.82885i | 0.394287 | + | 0.315650i | ||||
\(342\) | 13.7406 | + | 15.8240i | 0.743006 | + | 0.855664i | ||||
\(343\) | −19.0735 | + | 6.19737i | −1.02987 | + | 0.334627i | ||||
\(344\) | −1.77918 | + | 2.44883i | −0.0959270 | + | 0.132032i | ||||
\(345\) | −18.2172 | + | 27.5070i | −0.980780 | + | 1.48093i | ||||
\(346\) | −1.42159 | + | 4.37519i | −0.0764249 | + | 0.235212i | ||||
\(347\) | 2.17541 | − | 6.69522i | 0.116782 | − | 0.359418i | −0.875532 | − | 0.483159i | \(-0.839489\pi\) |
0.992315 | + | 0.123741i | \(0.0394892\pi\) | |||||||
\(348\) | 36.3721 | − | 54.9200i | 1.94975 | − | 2.94402i | ||||
\(349\) | −12.0694 | + | 16.6122i | −0.646062 | + | 0.889228i | −0.998921 | − | 0.0464484i | \(-0.985210\pi\) |
0.352859 | + | 0.935677i | \(0.385210\pi\) | |||||||
\(350\) | −30.8249 | + | 10.0156i | −1.64766 | + | 0.535357i | ||||
\(351\) | −4.56446 | − | 2.48309i | −0.243633 | − | 0.132538i | ||||
\(352\) | 50.0197 | − | 32.8826i | 2.66606 | − | 1.75265i | ||||
\(353\) | 23.5447i | 1.25316i | 0.779358 | + | 0.626579i | \(0.215545\pi\) | ||||
−0.779358 | + | 0.626579i | \(0.784455\pi\) | |||||||
\(354\) | −28.4095 | + | 22.5854i | −1.50995 | + | 1.20040i | ||||
\(355\) | 1.53929 | + | 1.11836i | 0.0816973 | + | 0.0593565i | ||||
\(356\) | 23.5429 | + | 32.4041i | 1.24777 | + | 1.71741i | ||||
\(357\) | 23.7385 | − | 1.03002i | 1.25638 | − | 0.0545145i | ||||
\(358\) | −8.86237 | − | 2.87956i | −0.468391 | − | 0.152189i | ||||
\(359\) | 0.269227 | − | 0.195605i | 0.0142092 | − | 0.0103236i | −0.580658 | − | 0.814148i | \(-0.697205\pi\) |
0.594867 | + | 0.803824i | \(0.297205\pi\) | |||||||
\(360\) | −7.57154 | − | 87.0850i | −0.399055 | − | 4.58978i | ||||
\(361\) | 3.79707 | + | 11.6862i | 0.199846 | + | 0.615062i | ||||
\(362\) | −48.5688 | −2.55272 | ||||||||
\(363\) | 11.9576 | − | 14.8329i | 0.627611 | − | 0.778527i | ||||
\(364\) | −10.7001 | −0.560837 | ||||||||
\(365\) | −5.84529 | − | 17.9899i | −0.305956 | − | 0.941637i | ||||
\(366\) | −12.4938 | + | 45.0039i | −0.653060 | + | 2.35239i | ||||
\(367\) | 11.5534 | − | 8.39406i | 0.603084 | − | 0.438166i | −0.243888 | − | 0.969803i | \(-0.578423\pi\) |
0.846972 | + | 0.531637i | \(0.178423\pi\) | |||||||
\(368\) | −72.5489 | − | 23.5726i | −3.78187 | − | 1.22880i | ||||
\(369\) | 1.89786 | + | 4.47781i | 0.0987987 | + | 0.233105i | ||||
\(370\) | −11.1435 | − | 15.3377i | −0.579322 | − | 0.797368i | ||||
\(371\) | 0.0831429 | + | 0.0604069i | 0.00431656 | + | 0.00313617i | ||||
\(372\) | 15.9742 | + | 20.0934i | 0.828222 | + | 1.04179i | ||||
\(373\) | 17.2235i | 0.891800i | 0.895083 | + | 0.445900i | \(0.147116\pi\) | ||||
−0.895083 | + | 0.445900i | \(0.852884\pi\) | |||||||
\(374\) | −50.4900 | + | 33.1919i | −2.61078 | + | 1.71631i | ||||
\(375\) | −1.84379 | − | 4.93552i | −0.0952131 | − | 0.254869i | ||||
\(376\) | −13.3125 | + | 4.32550i | −0.686541 | + | 0.223071i | ||||
\(377\) | 4.24168 | − | 5.83818i | 0.218458 | − | 0.300681i | ||||
\(378\) | −28.2055 | + | 3.69008i | −1.45073 | + | 0.189797i | ||||
\(379\) | −10.5242 | + | 32.3902i | −0.540593 | + | 1.66377i | 0.190651 | + | 0.981658i | \(0.438940\pi\) |
−0.731244 | + | 0.682116i | \(0.761060\pi\) | |||||||
\(380\) | −13.9433 | + | 42.9130i | −0.715275 | + | 2.20139i | ||||
\(381\) | 2.74369 | + | 1.81708i | 0.140564 | + | 0.0930917i | ||||
\(382\) | −4.77795 | + | 6.57628i | −0.244461 | + | 0.336472i | ||||
\(383\) | 16.0599 | − | 5.21817i | 0.820622 | − | 0.266636i | 0.131532 | − | 0.991312i | \(-0.458010\pi\) |
0.689090 | + | 0.724676i | \(0.258010\pi\) | |||||||
\(384\) | 38.5378 | − | 14.3968i | 1.96663 | − | 0.734686i | ||||
\(385\) | −17.3717 | − | 13.9071i | −0.885346 | − | 0.708771i | ||||
\(386\) | 22.2051i | 1.13021i | ||||||||
\(387\) | −0.530904 | + | 0.882492i | −0.0269874 | + | 0.0448596i | ||||
\(388\) | 51.8525 | + | 37.6731i | 2.63241 | + | 1.91256i | ||||
\(389\) | −13.9580 | − | 19.2115i | −0.707698 | − | 0.974063i | −0.999844 | − | 0.0176892i | \(-0.994369\pi\) |
0.292145 | − | 0.956374i | \(-0.405631\pi\) | |||||||
\(390\) | −0.669017 | − | 15.4186i | −0.0338770 | − | 0.780750i | ||||
\(391\) | 37.0403 | + | 12.0351i | 1.87321 | + | 0.608642i | ||||
\(392\) | 20.5281 | − | 14.9146i | 1.03683 | − | 0.753300i | ||||
\(393\) | 21.7746 | + | 6.04498i | 1.09839 | + | 0.304929i | ||||
\(394\) | 9.25081 | + | 28.4711i | 0.466049 | + | 1.43435i | ||||
\(395\) | 22.0724 | 1.11058 | ||||||||
\(396\) | 41.1572 | − | 32.4921i | 2.06823 | − | 1.63279i | ||||
\(397\) | 5.46468 | 0.274265 | 0.137132 | − | 0.990553i | \(-0.456211\pi\) | ||||
0.137132 | + | 0.990553i | \(0.456211\pi\) | |||||||
\(398\) | −16.1725 | − | 49.7738i | −0.810654 | − | 2.49494i | ||||
\(399\) | 8.77899 | + | 2.43718i | 0.439499 | + | 0.122012i | ||||
\(400\) | 63.3880 | − | 46.0541i | 3.16940 | − | 2.30270i | ||||
\(401\) | −10.3444 | − | 3.36110i | −0.516575 | − | 0.167845i | 0.0391152 | − | 0.999235i | \(-0.487546\pi\) |
−0.555691 | + | 0.831389i | \(0.687546\pi\) | |||||||
\(402\) | 2.18552 | + | 50.3688i | 0.109004 | + | 2.51217i | ||||
\(403\) | 1.65292 | + | 2.27505i | 0.0823379 | + | 0.113328i | ||||
\(404\) | 77.0364 | + | 55.9702i | 3.83270 | + | 2.78462i | ||||
\(405\) | −5.13292 | − | 29.2953i | −0.255057 | − | 1.45569i | ||||
\(406\) | − | 39.5054i | − | 1.96062i | ||||||
\(407\) | 2.49201 | − | 6.60212i | 0.123524 | − | 0.327255i | ||||
\(408\) | −96.6637 | + | 36.1113i | −4.78557 | + | 1.78778i | ||||
\(409\) | −22.5937 | + | 7.34113i | −1.11718 | + | 0.362995i | −0.808693 | − | 0.588232i | \(-0.799824\pi\) |
−0.308492 | + | 0.951227i | \(0.599824\pi\) | |||||||
\(410\) | −8.49042 | + | 11.6861i | −0.419312 | + | 0.577134i | ||||
\(411\) | 23.2123 | + | 15.3729i | 1.14498 | + | 0.758289i | ||||
\(412\) | 12.3266 | − | 37.9375i | 0.607290 | − | 1.86905i | ||||
\(413\) | −4.87576 | + | 15.0061i | −0.239921 | + | 0.738399i | ||||
\(414\) | −45.4250 | − | 10.5130i | −2.23252 | − | 0.516687i | ||||
\(415\) | 3.44337 | − | 4.73940i | 0.169029 | − | 0.232648i | ||||
\(416\) | 17.1651 | − | 5.57729i | 0.841591 | − | 0.273449i | ||||
\(417\) | 3.48266 | + | 9.32247i | 0.170546 | + | 0.456523i | ||||
\(418\) | −22.3456 | + | 6.12175i | −1.09296 | + | 0.299425i | ||||
\(419\) | 3.78394i | 0.184857i | 0.995719 | + | 0.0924287i | \(0.0294630\pi\) | ||||
−0.995719 | + | 0.0924287i | \(0.970537\pi\) | |||||||
\(420\) | −38.1128 | − | 47.9410i | −1.85972 | − | 2.33928i | ||||
\(421\) | 16.6357 | + | 12.0866i | 0.810775 | + | 0.589063i | 0.914055 | − | 0.405590i | \(-0.132934\pi\) |
−0.103280 | + | 0.994652i | \(0.532934\pi\) | |||||||
\(422\) | −8.91100 | − | 12.2649i | −0.433781 | − | 0.597048i | ||||
\(423\) | −4.38495 | + | 1.85851i | −0.213204 | + | 0.0903637i | ||||
\(424\) | −0.424467 | − | 0.137918i | −0.0206139 | − | 0.00669788i | ||||
\(425\) | −32.3631 | + | 23.5132i | −1.56984 | + | 1.14056i | ||||
\(426\) | −0.719277 | + | 2.59091i | −0.0348491 | + | 0.125530i | ||||
\(427\) | 6.27464 | + | 19.3114i | 0.303651 | + | 0.934542i | ||||
\(428\) | 19.4870 | 0.941939 | ||||||||
\(429\) | 4.65890 | − | 3.36075i | 0.224934 | − | 0.162259i | ||||
\(430\) | −3.05884 | −0.147511 | ||||||||
\(431\) | −2.23177 | − | 6.86868i | −0.107501 | − | 0.330853i | 0.882809 | − | 0.469733i | \(-0.155650\pi\) |
−0.990309 | + | 0.138880i | \(0.955650\pi\) | |||||||
\(432\) | 62.0911 | − | 29.5542i | 2.98736 | − | 1.42193i | ||||
\(433\) | −16.6564 | + | 12.1015i | −0.800453 | + | 0.581563i | −0.911047 | − | 0.412302i | \(-0.864725\pi\) |
0.110594 | + | 0.993866i | \(0.464725\pi\) | |||||||
\(434\) | 14.6412 | + | 4.75722i | 0.702802 | + | 0.228354i | ||||
\(435\) | 41.2660 | − | 1.79055i | 1.97855 | − | 0.0858501i | ||||
\(436\) | −29.0769 | − | 40.0209i | −1.39253 | − | 1.91666i | ||||
\(437\) | 12.0818 | + | 8.77791i | 0.577949 | + | 0.419905i | ||||
\(438\) | 20.9253 | − | 16.6355i | 0.999850 | − | 0.794876i | ||||
\(439\) | 8.73589i | 0.416941i | 0.978029 | + | 0.208471i | \(0.0668485\pi\) | ||||
−0.978029 | + | 0.208471i | \(0.933151\pi\) | |||||||
\(440\) | 90.4130 | + | 34.1269i | 4.31027 | + | 1.62694i | ||||
\(441\) | 6.51870 | − | 5.66044i | 0.310414 | − | 0.269545i | ||||
\(442\) | −17.3266 | + | 5.62974i | −0.824141 | + | 0.267780i | ||||
\(443\) | 22.6635 | − | 31.1937i | 1.07678 | − | 1.48206i | 0.213756 | − | 0.976887i | \(-0.431430\pi\) |
0.863021 | − | 0.505169i | \(-0.168570\pi\) | |||||||
\(444\) | 10.7240 | − | 16.1928i | 0.508940 | − | 0.768474i | ||||
\(445\) | −7.76111 | + | 23.8863i | −0.367912 | + | 1.13232i | ||||
\(446\) | −12.9688 | + | 39.9137i | −0.614088 | + | 1.88997i | ||||
\(447\) | −16.8736 | + | 25.4783i | −0.798093 | + | 1.20508i | ||||
\(448\) | 26.4892 | − | 36.4592i | 1.25150 | − | 1.72254i | ||||
\(449\) | −22.6791 | + | 7.36889i | −1.07029 | + | 0.347760i | −0.790602 | − | 0.612330i | \(-0.790232\pi\) |
−0.279692 | + | 0.960090i | \(0.590232\pi\) | |||||||
\(450\) | 36.1604 | − | 31.3995i | 1.70462 | − | 1.48019i | ||||
\(451\) | −5.37081 | − | 0.251336i | −0.252902 | − | 0.0118350i | ||||
\(452\) | − | 79.0412i | − | 3.71779i | ||||||
\(453\) | 15.5379 | − | 12.3525i | 0.730033 | − | 0.580373i | ||||
\(454\) | −18.8385 | − | 13.6870i | −0.884136 | − | 0.642362i | ||||
\(455\) | −3.94372 | − | 5.42806i | −0.184884 | − | 0.254472i | ||||
\(456\) | −39.5302 | + | 1.71523i | −1.85117 | + | 0.0803228i | ||||
\(457\) | 5.65223 | + | 1.83652i | 0.264400 | + | 0.0859088i | 0.438217 | − | 0.898869i | \(-0.355610\pi\) |
−0.173817 | + | 0.984778i | \(0.555610\pi\) | |||||||
\(458\) | 23.7985 | − | 17.2906i | 1.11203 | − | 0.807937i | ||||
\(459\) | −31.7010 | + | 15.0891i | −1.47968 | + | 0.704298i | ||||
\(460\) | −31.0211 | − | 95.4732i | −1.44637 | − | 4.45146i | ||||
\(461\) | −18.4454 | −0.859090 | −0.429545 | − | 0.903045i | \(-0.641326\pi\) | ||||
−0.429545 | + | 0.903045i | \(0.641326\pi\) | |||||||
\(462\) | 9.81961 | − | 29.8757i | 0.456850 | − | 1.38994i | ||||
\(463\) | 6.93633 | 0.322358 | 0.161179 | − | 0.986925i | \(-0.448470\pi\) | ||||
0.161179 | + | 0.986925i | \(0.448470\pi\) | |||||||
\(464\) | 29.5117 | + | 90.8276i | 1.37004 | + | 4.21656i | ||||
\(465\) | −4.30563 | + | 15.5093i | −0.199669 | + | 0.719229i | ||||
\(466\) | −19.2915 | + | 14.0161i | −0.893662 | + | 0.649284i | ||||
\(467\) | 5.55615 | + | 1.80530i | 0.257108 | + | 0.0835394i | 0.434735 | − | 0.900558i | \(-0.356842\pi\) |
−0.177627 | + | 0.984098i | \(0.556842\pi\) | |||||||
\(468\) | 14.5569 | − | 6.16975i | 0.672892 | − | 0.285197i | ||||
\(469\) | 12.8832 | + | 17.7322i | 0.594890 | + | 0.818796i | ||||
\(470\) | −11.4437 | − | 8.31436i | −0.527860 | − | 0.383513i | ||||
\(471\) | 20.5185 | + | 25.8096i | 0.945444 | + | 1.18925i | ||||
\(472\) | − | 68.5220i | − | 3.15398i | ||||||
\(473\) | −0.625447 | − | 0.951403i | −0.0287581 | − | 0.0437456i | ||||
\(474\) | 10.9162 | + | 29.2208i | 0.501398 | + | 1.34216i | ||||
\(475\) | −14.5883 | + | 4.74002i | −0.669356 | + | 0.217487i | ||||
\(476\) | −42.4954 | + | 58.4898i | −1.94777 | + | 2.68088i | ||||
\(477\) | −0.147942 | − | 0.0342394i | −0.00677381 | − | 0.00156771i | ||||
\(478\) | 12.7325 | − | 39.1866i | 0.582371 | − | 1.79235i | ||||
\(479\) | −7.12917 | + | 21.9413i | −0.325740 | + | 1.00252i | 0.645365 | + | 0.763874i | \(0.276705\pi\) |
−0.971105 | + | 0.238651i | \(0.923295\pi\) | |||||||
\(480\) | 86.1295 | + | 57.0413i | 3.93126 | + | 2.60357i | ||||
\(481\) | 1.25063 | − | 1.72134i | 0.0570238 | − | 0.0784865i | ||||
\(482\) | −60.6711 | + | 19.7132i | −2.76349 | + | 0.897913i | ||||
\(483\) | −18.9885 | + | 7.09367i | −0.864007 | + | 0.322773i | ||||
\(484\) | 12.6870 | + | 56.5662i | 0.576680 | + | 2.57119i | ||||
\(485\) | 40.1894i | 1.82491i | ||||||||
\(486\) | 36.2443 | − | 21.2836i | 1.64407 | − | 0.965445i | ||||
\(487\) | −9.34434 | − | 6.78906i | −0.423432 | − | 0.307642i | 0.355585 | − | 0.934644i | \(-0.384282\pi\) |
−0.779017 | + | 0.627002i | \(0.784282\pi\) | |||||||
\(488\) | −51.8317 | − | 71.3402i | −2.34631 | − | 3.22942i | ||||
\(489\) | 0.387156 | + | 8.92265i | 0.0175078 | + | 0.403496i | ||||
\(490\) | 24.3868 | + | 7.92374i | 1.10168 | + | 0.357958i | ||||
\(491\) | 1.95289 | − | 1.41886i | 0.0881327 | − | 0.0640322i | −0.542846 | − | 0.839832i | \(-0.682653\pi\) |
0.630979 | + | 0.775800i | \(0.282653\pi\) | |||||||
\(492\) | −14.2587 | − | 3.95842i | −0.642830 | − | 0.178459i | ||||
\(493\) | −15.0674 | − | 46.3725i | −0.678599 | − | 2.08851i | ||||
\(494\) | −6.98572 | −0.314302 | ||||||||
\(495\) | 31.6522 | + | 8.90315i | 1.42266 | + | 0.400167i | ||||
\(496\) | −37.2157 | −1.67103 | ||||||||
\(497\) | 0.361236 | + | 1.11177i | 0.0162037 | + | 0.0498698i | ||||
\(498\) | 7.97727 | + | 2.21461i | 0.357470 | + | 0.0992392i | ||||
\(499\) | 27.7840 | − | 20.1863i | 1.24378 | − | 0.903661i | 0.245938 | − | 0.969286i | \(-0.420904\pi\) |
0.997844 | + | 0.0656248i | \(0.0209041\pi\) | |||||||
\(500\) | 15.2464 | + | 4.95387i | 0.681841 | + | 0.221544i | ||||
\(501\) | 1.17589 | + | 27.1003i | 0.0525349 | + | 1.21075i | ||||
\(502\) | −5.40078 | − | 7.43353i | −0.241048 | − | 0.331775i | ||||
\(503\) | −32.5846 | − | 23.6741i | −1.45288 | − | 1.05558i | −0.985149 | − | 0.171704i | \(-0.945073\pi\) |
−0.467728 | − | 0.883872i | \(-0.654927\pi\) | |||||||
\(504\) | 27.6856 | − | 46.0202i | 1.23321 | − | 2.04990i | ||||
\(505\) | 59.7087i | 2.65700i | ||||||||
\(506\) | 32.2146 | − | 40.2402i | 1.43211 | − | 1.78889i | ||||
\(507\) | 1.62253 | − | 0.606139i | 0.0720590 | − | 0.0269196i | ||||
\(508\) | −9.52300 | + | 3.09421i | −0.422515 | + | 0.137283i | ||||
\(509\) | 18.8830 | − | 25.9903i | 0.836976 | − | 1.15200i | −0.149609 | − | 0.988745i | \(-0.547801\pi\) |
0.986584 | − | 0.163253i | \(-0.0521986\pi\) | |||||||
\(510\) | −86.9394 | − | 57.5777i | −3.84974 | − | 2.54959i | ||||
\(511\) | 3.59129 | − | 11.0529i | 0.158869 | − | 0.488950i | ||||
\(512\) | −1.69256 | + | 5.20916i | −0.0748013 | + | 0.230215i | ||||
\(513\) | −13.3486 | + | 1.74638i | −0.589356 | + | 0.0771044i | ||||
\(514\) | −11.3446 | + | 15.6145i | −0.500389 | + | 0.688727i | ||||
\(515\) | 23.7886 | − | 7.72937i | 1.04825 | − | 0.340597i | ||||
\(516\) | −1.09663 | − | 2.93548i | −0.0482763 | − | 0.129227i | ||||
\(517\) | 0.246125 | − | 5.25944i | 0.0108245 | − | 0.231310i | ||||
\(518\) | − | 11.6479i | − | 0.511779i | ||||||
\(519\) | −1.83900 | − | 2.31322i | −0.0807232 | − | 0.101539i | ||||
\(520\) | 23.5730 | + | 17.1268i | 1.03374 | + | 0.751060i | ||||
\(521\) | 0.0635329 | + | 0.0874456i | 0.00278343 | + | 0.00383106i | 0.810406 | − | 0.585868i | \(-0.199246\pi\) |
−0.807623 | + | 0.589699i | \(0.799246\pi\) | |||||||
\(522\) | 22.7791 | + | 53.7449i | 0.997015 | + | 2.35235i | ||||
\(523\) | −19.3548 | − | 6.28876i | −0.846327 | − | 0.274988i | −0.146420 | − | 0.989222i | \(-0.546775\pi\) |
−0.699907 | + | 0.714234i | \(0.746775\pi\) | |||||||
\(524\) | −55.6277 | + | 40.4159i | −2.43011 | + | 1.76558i | ||||
\(525\) | 5.56937 | − | 20.0615i | 0.243067 | − | 0.875554i | ||||
\(526\) | −10.4016 | − | 32.0127i | −0.453530 | − | 1.39582i | ||||
\(527\) | 19.0007 | 0.827682 | ||||||||
\(528\) | −0.258444 | + | 76.0232i | −0.0112473 | + | 3.30849i | ||||
\(529\) | −10.2250 | −0.444566 | ||||||||
\(530\) | −0.139372 | − | 0.428943i | −0.00605394 | − | 0.0186321i | ||||
\(531\) | −2.01939 | − | 23.2263i | −0.0876342 | − | 1.00794i | ||||
\(532\) | −22.4277 | + | 16.2947i | −0.972365 | + | 0.706465i | ||||
\(533\) | −1.54179 | − | 0.500957i | −0.0667823 | − | 0.0216989i | ||||
\(534\) | −35.4604 | + | 1.53864i | −1.53452 | + | 0.0665834i | ||||
\(535\) | 7.18229 | + | 9.88557i | 0.310517 | + | 0.427391i | ||||
\(536\) | −77.0073 | − | 55.9491i | −3.32621 | − | 2.41663i | ||||
\(537\) | 4.68566 | − | 3.72508i | 0.202201 | − | 0.160749i | ||||
\(538\) | 30.7628i | 1.32628i | ||||||||
\(539\) | 2.52186 | + | 9.20529i | 0.108624 | + | 0.396500i | ||||
\(540\) | 79.4935 | + | 43.2449i | 3.42086 | + | 1.86096i | ||||
\(541\) | −28.4560 | + | 9.24592i | −1.22342 | + | 0.397513i | −0.848326 | − | 0.529474i | \(-0.822389\pi\) |
−0.375093 | + | 0.926987i | \(0.622389\pi\) | |||||||
\(542\) | 21.4304 | − | 29.4964i | 0.920513 | − | 1.26698i | ||||
\(543\) | 17.2272 | − | 26.0121i | 0.739289 | − | 1.11629i | ||||
\(544\) | 37.6841 | − | 115.980i | 1.61569 | − | 4.97260i | ||||
\(545\) | 9.58543 | − | 29.5009i | 0.410595 | − | 1.26368i | ||||
\(546\) | 5.23558 | − | 7.90546i | 0.224062 | − | 0.338322i | ||||
\(547\) | −0.459120 | + | 0.631924i | −0.0196306 | + | 0.0270191i | −0.818719 | − | 0.574194i | \(-0.805316\pi\) |
0.799089 | + | 0.601213i | \(0.205316\pi\) | |||||||
\(548\) | −80.5668 | + | 26.1778i | −3.44164 | + | 1.11826i | ||||
\(549\) | −19.6714 | − | 22.6540i | −0.839553 | − | 0.966850i | ||||
\(550\) | 13.9892 | + | 51.0635i | 0.596502 | + | 2.17735i | ||||
\(551\) | − | 18.6965i | − | 0.796496i | ||||||
\(552\) | 68.9076 | − | 54.7812i | 2.93290 | − | 2.33164i | ||||
\(553\) | 10.9712 | + | 7.97101i | 0.466541 | + | 0.338962i | ||||
\(554\) | 3.29838 | + | 4.53983i | 0.140135 | + | 0.192879i | ||||
\(555\) | 12.1670 | − | 0.527929i | 0.516460 | − | 0.0224093i | ||||
\(556\) | −28.7983 | − | 9.35713i | −1.22132 | − | 0.396831i | ||||
\(557\) | 24.0617 | − | 17.4818i | 1.01953 | − | 0.740729i | 0.0533399 | − | 0.998576i | \(-0.483013\pi\) |
0.966186 | + | 0.257848i | \(0.0830133\pi\) | |||||||
\(558\) | −22.6616 | + | 1.97030i | −0.959343 | + | 0.0834094i | ||||
\(559\) | −0.106083 | − | 0.326491i | −0.00448685 | − | 0.0138091i | ||||
\(560\) | 88.7931 | 3.75219 | ||||||||
\(561\) | 0.131950 | − | 38.8141i | 0.00557094 | − | 1.63873i | ||||
\(562\) | 53.0659 | 2.23845 | ||||||||
\(563\) | 7.62575 | + | 23.4696i | 0.321387 | + | 0.989127i | 0.973045 | + | 0.230615i | \(0.0740737\pi\) |
−0.651658 | + | 0.758513i | \(0.725926\pi\) | |||||||
\(564\) | 3.87634 | − | 13.9630i | 0.163223 | − | 0.587947i | ||||
\(565\) | 40.0969 | − | 29.1321i | 1.68689 | − | 1.22560i | ||||
\(566\) | 72.1794 | + | 23.4525i | 3.03393 | + | 0.985783i | ||||
\(567\) | 8.02808 | − | 16.4150i | 0.337148 | − | 0.689363i | ||||
\(568\) | −2.98399 | − | 4.10712i | −0.125206 | − | 0.172331i | ||||
\(569\) | 25.7844 | + | 18.7335i | 1.08094 | + | 0.785349i | 0.977847 | − | 0.209323i | \(-0.0671260\pi\) |
0.103093 | + | 0.994672i | \(0.467126\pi\) | |||||||
\(570\) | −24.8825 | − | 31.2990i | −1.04222 | − | 1.31097i | ||||
\(571\) | 32.3253i | 1.35277i | 0.736548 | + | 0.676385i | \(0.236454\pi\) | ||||
−0.736548 | + | 0.676385i | \(0.763546\pi\) | |||||||
\(572\) | −0.817068 | + | 17.4599i | −0.0341633 | + | 0.730037i | ||||
\(573\) | −1.82736 | − | 4.89152i | −0.0763390 | − | 0.204346i | ||||
\(574\) | −8.44038 | + | 2.74245i | −0.352295 | + | 0.114467i | ||||
\(575\) | 20.0590 | − | 27.6088i | 0.836518 | − | 1.15137i | ||||
\(576\) | −15.0144 | + | 64.8746i | −0.625600 | + | 2.70311i | ||||
\(577\) | −6.64559 | + | 20.4530i | −0.276660 | + | 0.851471i | 0.712116 | + | 0.702062i | \(0.247737\pi\) |
−0.988775 | + | 0.149409i | \(0.952263\pi\) | |||||||
\(578\) | −23.8740 | + | 73.4766i | −0.993027 | + | 3.05622i | ||||
\(579\) | −11.8924 | − | 7.87604i | −0.494232 | − | 0.327317i | ||||
\(580\) | −73.8721 | + | 101.676i | −3.06737 | + | 4.22188i | ||||
\(581\) | 3.42308 | − | 1.11223i | 0.142013 | − | 0.0461429i | ||||
\(582\) | −53.2052 | + | 19.8762i | −2.20543 | + | 0.823896i | ||||
\(583\) | 0.104918 | − | 0.131056i | 0.00434526 | − | 0.00542779i | ||||
\(584\) | 50.4706i | 2.08849i | ||||||||
\(585\) | 8.49507 | + | 5.11060i | 0.351228 | + | 0.211297i | ||||
\(586\) | 9.83507 | + | 7.14560i | 0.406283 | + | 0.295182i | ||||
\(587\) | 2.74903 | + | 3.78372i | 0.113465 | + | 0.156171i | 0.861972 | − | 0.506956i | \(-0.169229\pi\) |
−0.748507 | + | 0.663126i | \(0.769229\pi\) | |||||||
\(588\) | 1.13873 | + | 26.2440i | 0.0469606 | + | 1.08228i | ||||
\(589\) | 6.92915 | + | 2.25142i | 0.285511 | + | 0.0927681i | ||||
\(590\) | 56.0201 | − | 40.7010i | 2.30631 | − | 1.67563i | ||||
\(591\) | −18.5295 | − | 5.14409i | −0.762204 | − | 0.211600i | ||||
\(592\) | 8.70130 | + | 26.7798i | 0.357621 | + | 1.10064i | ||||
\(593\) | 8.48043 | 0.348250 | 0.174125 | − | 0.984724i | \(-0.444290\pi\) | ||||
0.174125 | + | 0.984724i | \(0.444290\pi\) | |||||||
\(594\) | 3.86750 | + | 46.3063i | 0.158686 | + | 1.89997i | ||||
\(595\) | −45.3338 | −1.85851 | ||||||||
\(596\) | −28.7332 | − | 88.4317i | −1.17696 | − | 3.62230i | ||||
\(597\) | 32.3938 | + | 8.99303i | 1.32579 | + | 0.368060i | ||||
\(598\) | 12.5737 | − | 9.13529i | 0.514175 | − | 0.373570i | ||||
\(599\) | 2.67608 | + | 0.869512i | 0.109342 | + | 0.0355273i | 0.363177 | − | 0.931720i | \(-0.381692\pi\) |
−0.253835 | + | 0.967248i | \(0.581692\pi\) | |||||||
\(600\) | 3.91957 | + | 90.3330i | 0.160016 | + | 3.68783i | ||||
\(601\) | −13.1519 | − | 18.1021i | −0.536479 | − | 0.738400i | 0.451621 | − | 0.892210i | \(-0.350846\pi\) |
−0.988101 | + | 0.153810i | \(0.950846\pi\) | |||||||
\(602\) | −1.52041 | − | 1.10464i | −0.0619672 | − | 0.0450218i | ||||
\(603\) | −27.7513 | − | 16.6951i | −1.13012 | − | 0.679877i | ||||
\(604\) | 60.3970i | 2.45752i | ||||||||
\(605\) | −24.0195 | + | 27.2845i | −0.976531 | + | 1.10927i | ||||
\(606\) | −79.0460 | + | 29.5298i | −3.21102 | + | 1.19956i | ||||
\(607\) | −24.7671 | + | 8.04732i | −1.00527 | + | 0.326631i | −0.764968 | − | 0.644069i | \(-0.777245\pi\) |
−0.240298 | + | 0.970699i | \(0.577245\pi\) | |||||||
\(608\) | 27.4853 | − | 37.8302i | 1.11467 | − | 1.53422i | ||||
\(609\) | 21.1580 | + | 14.0124i | 0.857367 | + | 0.567812i | ||||
\(610\) | 27.5369 | − | 84.7498i | 1.11494 | − | 3.43142i | ||||
\(611\) | 0.490569 | − | 1.50982i | 0.0198463 | − | 0.0610807i | ||||
\(612\) | 24.0869 | − | 104.075i | 0.973655 | − | 4.20699i | ||||
\(613\) | −6.26104 | + | 8.61759i | −0.252881 | + | 0.348061i | −0.916518 | − | 0.399994i | \(-0.869012\pi\) |
0.663637 | + | 0.748055i | \(0.269012\pi\) | |||||||
\(614\) | −40.5317 | + | 13.1696i | −1.63573 | + | 0.531480i | ||||
\(615\) | −3.24722 | − | 8.69224i | −0.130940 | − | 0.350505i | ||||
\(616\) | 32.6158 | + | 49.6137i | 1.31413 | + | 1.99899i | ||||
\(617\) | − | 27.4172i | − | 1.10377i | −0.833919 | − | 0.551887i | \(-0.813908\pi\) | ||
0.833919 | − | 0.551887i | \(-0.186092\pi\) | |||||||
\(618\) | 21.9976 | + | 27.6701i | 0.884872 | + | 1.11305i | ||||
\(619\) | −27.8650 | − | 20.2451i | −1.11999 | − | 0.813720i | −0.135781 | − | 0.990739i | \(-0.543355\pi\) |
−0.984207 | + | 0.177019i | \(0.943355\pi\) | |||||||
\(620\) | −28.7869 | − | 39.6218i | −1.15611 | − | 1.59125i | ||||
\(621\) | 21.7425 | − | 20.5994i | 0.872498 | − | 0.826627i | ||||
\(622\) | −55.8025 | − | 18.1313i | −2.23747 | − | 0.727000i | ||||
\(623\) | −12.4837 | + | 9.06996i | −0.500150 | + | 0.363380i | ||||
\(624\) | −6.13160 | + | 22.0867i | −0.245461 | + | 0.884175i | ||||
\(625\) | −6.04136 | − | 18.5934i | −0.241654 | − | 0.743735i | ||||
\(626\) | 49.7197 | 1.98720 | ||||||||
\(627\) | 4.64726 | − | 14.1391i | 0.185594 | − | 0.564660i | ||||
\(628\) | −100.324 | −4.00337 | ||||||||
\(629\) | −4.44250 | − | 13.6726i | −0.177134 | − | 0.545162i | ||||
\(630\) | 54.0685 | − | 4.70095i | 2.15414 | − | 0.187290i | ||||
\(631\) | 13.2614 | − | 9.63499i | 0.527929 | − | 0.383563i | −0.291654 | − | 0.956524i | \(-0.594205\pi\) |
0.819582 | + | 0.572961i | \(0.194205\pi\) | |||||||
\(632\) | −56.0107 | − | 18.1990i | −2.22799 | − | 0.723917i | ||||
\(633\) | 9.72946 | − | 0.422164i | 0.386711 | − | 0.0167795i | ||||
\(634\) | 28.5808 | + | 39.3381i | 1.13509 | + | 1.56232i | ||||
\(635\) | −5.07954 | − | 3.69050i | −0.201576 | − | 0.146453i | ||||
\(636\) | 0.361677 | − | 0.287531i | 0.0143414 | − | 0.0114014i | ||||
\(637\) | 2.87777i | 0.114021i | ||||||||
\(638\) | −64.4632 | − | 3.01667i | −2.55212 | − | 0.119431i | ||||
\(639\) | −1.13250 | − | 1.30421i | −0.0448009 | − | 0.0515938i | ||||
\(640\) | −74.6487 | + | 24.2548i | −2.95075 | + | 0.958757i | ||||
\(641\) | −17.1119 | + | 23.5525i | −0.675879 | + | 0.930267i | −0.999875 | − | 0.0157911i | \(-0.994973\pi\) |
0.323997 | + | 0.946058i | \(0.394973\pi\) | |||||||
\(642\) | −9.53502 | + | 14.3974i | −0.376317 | + | 0.568220i | ||||
\(643\) | 12.5147 | − | 38.5163i | 0.493532 | − | 1.51894i | −0.325700 | − | 0.945473i | \(-0.605600\pi\) |
0.819232 | − | 0.573462i | \(-0.194400\pi\) | |||||||
\(644\) | 19.0591 | − | 58.6579i | 0.751034 | − | 2.31145i | ||||
\(645\) | 1.08496 | − | 1.63823i | 0.0427202 | − | 0.0645054i | ||||
\(646\) | −27.7437 | + | 38.1860i | −1.09156 | + | 1.50241i | ||||
\(647\) | 12.3237 | − | 4.00422i | 0.484495 | − | 0.157422i | −0.0565770 | − | 0.998398i | \(-0.518019\pi\) |
0.541072 | + | 0.840976i | \(0.318019\pi\) | |||||||
\(648\) | −11.1291 | + | 78.5716i | −0.437192 | + | 3.08658i | ||||
\(649\) | 24.1139 | + | 9.10193i | 0.946553 | + | 0.357282i | ||||
\(650\) | 15.9635i | 0.626141i | ||||||||
\(651\) | −7.74102 | + | 6.15407i | −0.303395 | + | 0.241197i | ||||
\(652\) | −21.9847 | − | 15.9728i | −0.860988 | − | 0.625544i | ||||
\(653\) | −0.0842112 | − | 0.115907i | −0.00329544 | − | 0.00453578i | 0.807366 | − | 0.590051i | \(-0.200892\pi\) |
−0.810662 | + | 0.585515i | \(0.800892\pi\) | |||||||
\(654\) | 43.7957 | − | 1.90031i | 1.71255 | − | 0.0743080i | ||||
\(655\) | −41.0053 | − | 13.3234i | −1.60221 | − | 0.520589i | ||||
\(656\) | 17.3567 | − | 12.6104i | 0.677666 | − | 0.492354i | ||||
\(657\) | 1.48741 | + | 17.1076i | 0.0580292 | + | 0.667430i | ||||
\(658\) | −2.68558 | − | 8.26536i | −0.104695 | − | 0.322217i | ||||
\(659\) | −12.9250 | −0.503488 | −0.251744 | − | 0.967794i | \(-0.581004\pi\) | ||||
−0.251744 | + | 0.967794i | \(0.581004\pi\) | |||||||
\(660\) | −81.1383 | + | 58.5300i | −3.15830 | + | 2.27828i | ||||
\(661\) | −7.41985 | −0.288599 | −0.144299 | − | 0.989534i | \(-0.546093\pi\) | ||||
−0.144299 | + | 0.989534i | \(0.546093\pi\) | |||||||
\(662\) | 16.3626 | + | 50.3589i | 0.635950 | + | 1.95725i | ||||
\(663\) | 3.13053 | − | 11.2765i | 0.121580 | − | 0.437942i | ||||
\(664\) | −12.6456 | + | 9.18755i | −0.490743 | + | 0.356546i | ||||
\(665\) | −16.5323 | − | 5.37167i | −0.641096 | − | 0.208305i | ||||
\(666\) | 6.71625 | + | 15.8463i | 0.260249 | + | 0.614031i | ||||
\(667\) | 24.4495 | + | 33.6519i | 0.946690 | + | 1.30301i | ||||
\(668\) | −66.7730 | − | 48.5134i | −2.58352 | − | 1.87704i | ||||
\(669\) | −16.7767 | − | 21.1030i | −0.648626 | − | 0.815887i | ||||
\(670\) | − | 96.1901i | − | 3.71615i | ||||||
\(671\) | 31.9905 | − | 8.76405i | 1.23498 | − | 0.338332i | ||||
\(672\) | 22.2116 | + | 59.4565i | 0.856830 | + | 2.29359i | ||||
\(673\) | −8.01459 | + | 2.60410i | −0.308940 | + | 0.100381i | −0.459384 | − | 0.888238i | \(-0.651930\pi\) |
0.150444 | + | 0.988619i | \(0.451930\pi\) | |||||||
\(674\) | −37.4423 | + | 51.5350i | −1.44222 | + | 1.98505i | ||||
\(675\) | 3.99076 | + | 30.5038i | 0.153604 | + | 1.17409i | ||||
\(676\) | −1.62856 | + | 5.01219i | −0.0626369 | + | 0.192777i | ||||
\(677\) | −9.85876 | + | 30.3422i | −0.378903 | + | 1.16614i | 0.561904 | + | 0.827202i | \(0.310069\pi\) |
−0.940807 | + | 0.338941i | \(0.889931\pi\) | |||||||
\(678\) | 58.3973 | + | 38.6750i | 2.24274 | + | 1.48531i | ||||
\(679\) | −14.5136 | + | 19.9763i | −0.556981 | + | 0.766619i | ||||
\(680\) | 187.240 | − | 60.8380i | 7.18033 | − | 2.33303i | ||||
\(681\) | 14.0123 | − | 5.23468i | 0.536953 | − | 0.200593i | ||||
\(682\) | 8.88064 | − | 23.5276i | 0.340057 | − | 0.900920i | ||||
\(683\) | 42.2576i | 1.61694i | 0.588535 | + | 0.808471i | \(0.299705\pi\) | ||||
−0.588535 | + | 0.808471i | \(0.700295\pi\) | |||||||
\(684\) | 21.1160 | − | 35.1000i | 0.807392 | − | 1.34208i | ||||
\(685\) | −42.9741 | − | 31.2225i | −1.64196 | − | 1.19295i | ||||
\(686\) | 31.7845 | + | 43.7476i | 1.21354 | + | 1.67029i | ||||
\(687\) | 0.819153 | + | 18.8787i | 0.0312527 | + | 0.720268i | ||||
\(688\) | 4.32079 | + | 1.40391i | 0.164729 | + | 0.0535236i | ||||
\(689\) | 0.0409505 | − | 0.0297523i | 0.00156009 | − | 0.00113347i | ||||
\(690\) | 85.7163 | + | 23.7962i | 3.26316 | + | 0.905905i | ||||
\(691\) | 10.4993 | + | 32.3134i | 0.399410 | + | 1.22926i | 0.925473 | + | 0.378813i | \(0.123668\pi\) |
−0.526063 | + | 0.850446i | \(0.676332\pi\) | |||||||
\(692\) | 8.99168 | 0.341812 | ||||||||
\(693\) | 12.5176 | + | 15.8559i | 0.475506 | + | 0.602316i | ||||
\(694\) | −18.9815 | −0.720527 | ||||||||
\(695\) | −5.86735 | − | 18.0579i | −0.222561 | − | 0.684974i | ||||
\(696\) | −106.193 | − | 29.4807i | −4.02522 | − | 1.11746i | ||||
\(697\) | −8.86158 | + | 6.43831i | −0.335656 | + | 0.243869i | ||||
\(698\) | 52.6558 | + | 17.1089i | 1.99305 | + | 0.647581i | ||||
\(699\) | −0.664022 | − | 15.3035i | −0.0251156 | − | 0.578830i | ||||
\(700\) | 37.2361 | + | 51.2511i | 1.40739 | + | 1.93711i | ||||
\(701\) | 19.0605 | + | 13.8482i | 0.719903 | + | 0.523040i | 0.886353 | − | 0.463009i | \(-0.153230\pi\) |
−0.166450 | + | 0.986050i | \(0.553230\pi\) | |||||||
\(702\) | −2.56437 | + | 13.7738i | −0.0967859 | + | 0.519859i | ||||
\(703\) | − | 5.51251i | − | 0.207908i | ||||||
\(704\) | −57.4698 | − | 46.0079i | −2.16598 | − | 1.73399i | ||||
\(705\) | 8.51199 | − | 3.17988i | 0.320580 | − | 0.119761i | ||||
\(706\) | 60.3768 | − | 19.6176i | 2.27231 | − | 0.738319i | ||||
\(707\) | −21.5626 | + | 29.6784i | −0.810946 | + | 1.11617i | ||||
\(708\) | 59.1432 | + | 39.1690i | 2.22274 | + | 1.47206i | ||||
\(709\) | −12.1779 | + | 37.4797i | −0.457351 | + | 1.40758i | 0.411002 | + | 0.911634i | \(0.365179\pi\) |
−0.868353 | + | 0.495947i | \(0.834821\pi\) | |||||||
\(710\) | 1.58532 | − | 4.87912i | 0.0594961 | − | 0.183110i | ||||
\(711\) | −19.5218 | − | 4.51807i | −0.732124 | − | 0.169441i | ||||
\(712\) | 39.3891 | − | 54.2144i | 1.47617 | − | 2.03177i | ||||
\(713\) | −15.4160 | + | 5.00897i | −0.577335 | + | 0.187588i | ||||
\(714\) | −22.4205 | − | 60.0157i | −0.839065 | − | 2.24603i | ||||
\(715\) | −9.15842 | + | 6.02069i | −0.342505 | + | 0.225161i | ||||
\(716\) | 18.2135i | 0.680671i | ||||||||
\(717\) | 16.4711 | + | 20.7185i | 0.615125 | + | 0.773746i | ||||
\(718\) | −0.725921 | − | 0.527412i | −0.0270911 | − | 0.0196829i | ||||
\(719\) | −29.2581 | − | 40.2704i | −1.09114 | − | 1.50183i | −0.846627 | − | 0.532187i | \(-0.821370\pi\) |
−0.244518 | − | 0.969645i | \(-0.578630\pi\) | |||||||
\(720\) | −120.798 | + | 51.1987i | −4.50188 | + | 1.90806i | ||||
\(721\) | 14.6155 | + | 4.74886i | 0.544309 | + | 0.176857i | ||||
\(722\) | 26.8037 | − | 19.4740i | 0.997530 | − | 0.724748i | ||||
\(723\) | 10.9619 | − | 39.4860i | 0.407678 | − | 1.46850i | ||||
\(724\) | 29.3353 | + | 90.2848i | 1.09024 | + | 3.35541i | ||||
\(725\) | −42.7245 | −1.58675 | ||||||||
\(726\) | −48.0000 | − | 18.3045i | −1.78145 | − | 0.679345i | ||||
\(727\) | −42.4886 | −1.57582 | −0.787908 | − | 0.615793i | \(-0.788836\pi\) | ||||
−0.787908 | + | 0.615793i | \(0.788836\pi\) | |||||||
\(728\) | 5.53203 | + | 17.0259i | 0.205031 | + | 0.631020i | ||||
\(729\) | −1.45677 | + | 26.9607i | −0.0539544 | + | 0.998543i | ||||
\(730\) | −41.2622 | + | 29.9787i | −1.52718 | + | 1.10956i | ||||
\(731\) | −2.20600 | − | 0.716774i | −0.0815920 | − | 0.0265109i | ||||
\(732\) | 91.2040 | − | 3.95737i | 3.37100 | − | 0.146269i | ||||
\(733\) | −28.8776 | − | 39.7466i | −1.06662 | − | 1.46807i | −0.873453 | − | 0.486908i | \(-0.838125\pi\) |
−0.193165 | − | 0.981166i | \(-0.561875\pi\) | |||||||
\(734\) | −31.1517 | − | 22.6331i | −1.14983 | − | 0.835402i | ||||
\(735\) | −12.8936 | + | 10.2504i | −0.475589 | + | 0.378091i | ||||
\(736\) | 104.034i | 3.83473i | ||||||||
\(737\) | 29.9183 | − | 19.6681i | 1.10206 | − | 0.724486i | ||||
\(738\) | 9.90135 | − | 8.59773i | 0.364474 | − | 0.316487i | ||||
\(739\) | 16.5835 | − | 5.38830i | 0.610033 | − | 0.198212i | 0.0123231 | − | 0.999924i | \(-0.496077\pi\) |
0.597710 | + | 0.801712i | \(0.296077\pi\) | |||||||
\(740\) | −21.7807 | + | 29.9785i | −0.800673 | + | 1.10203i | ||||
\(741\) | 2.47781 | − | 3.74136i | 0.0910245 | − | 0.137442i | ||||
\(742\) | 0.0856290 | − | 0.263539i | 0.00314354 | − | 0.00967482i | ||||
\(743\) | −10.3798 | + | 31.9458i | −0.380798 | + | 1.17198i | 0.558685 | + | 0.829380i | \(0.311306\pi\) |
−0.939483 | + | 0.342596i | \(0.888694\pi\) | |||||||
\(744\) | 23.7136 | − | 35.8063i | 0.869383 | − | 1.31272i | ||||
\(745\) | 34.2705 | − | 47.1692i | 1.25557 | − | 1.72815i | ||||
\(746\) | 44.1671 | − | 14.3508i | 1.61707 | − | 0.525419i | ||||
\(747\) | −4.01559 | + | 3.48689i | −0.146923 | + | 0.127579i | ||||
\(748\) | 92.1961 | + | 73.8084i | 3.37102 | + | 2.69870i | ||||
\(749\) | 7.50740i | 0.274314i | ||||||||
\(750\) | −11.1201 | + | 8.84045i | −0.406050 | + | 0.322808i | ||||
\(751\) | 38.6765 | + | 28.1001i | 1.41133 | + | 1.02539i | 0.993128 | + | 0.117033i | \(0.0373383\pi\) |
0.418198 | + | 0.908356i | \(0.362662\pi\) | |||||||
\(752\) | 12.3489 | + | 16.9968i | 0.450318 | + | 0.619810i | ||||
\(753\) | 5.89683 | − | 0.255865i | 0.214892 | − | 0.00932425i | ||||
\(754\) | −18.5053 | − | 6.01275i | −0.673925 | − | 0.218971i | ||||
\(755\) | −30.6388 | + | 22.2604i | −1.11506 | + | 0.810140i | ||||
\(756\) | 23.8955 | + | 50.2025i | 0.869069 | + | 1.82585i | ||||
\(757\) | 7.09510 | + | 21.8365i | 0.257876 | + | 0.793660i | 0.993249 | + | 0.115998i | \(0.0370068\pi\) |
−0.735373 | + | 0.677662i | \(0.762993\pi\) | |||||||
\(758\) | 91.8288 | 3.33537 | ||||||||
\(759\) | 10.1252 | + | 31.5263i | 0.367520 | + | 1.14433i | ||||
\(760\) | 75.4914 | 2.73836 | ||||||||
\(761\) | −10.4312 | − | 32.1041i | −0.378132 | − | 1.16377i | −0.941341 | − | 0.337457i | \(-0.890433\pi\) |
0.563209 | − | 0.826315i | \(-0.309567\pi\) | |||||||
\(762\) | 2.37355 | − | 8.54979i | 0.0859848 | − | 0.309726i | ||||
\(763\) | 15.4181 | − | 11.2019i | 0.558174 | − | 0.405537i | ||||
\(764\) | 15.1105 | + | 4.90971i | 0.546679 | + | 0.177627i | ||||
\(765\) | 61.6741 | − | 26.1398i | 2.22983 | − | 0.945086i | ||||
\(766\) | −26.7625 | − | 36.8354i | −0.966967 | − | 1.33092i | ||||
\(767\) | 6.28712 | + | 4.56786i | 0.227015 | + | 0.164936i | ||||
\(768\) | −21.1792 | − | 26.6406i | −0.764238 | − | 0.961311i | ||||
\(769\) | − | 50.1292i | − | 1.80771i | −0.427844 | − | 0.903853i | \(-0.640727\pi\) | ||
0.427844 | − | 0.903853i | \(-0.359273\pi\) | |||||||
\(770\) | −21.1884 | + | 56.1348i | −0.763576 | + | 2.02296i | ||||
\(771\) | −4.33882 | − | 11.6143i | −0.156259 | − | 0.418278i | ||||
\(772\) | 41.2770 | − | 13.4117i | 1.48559 | − | 0.482698i | ||||
\(773\) | −2.10200 | + | 2.89315i | −0.0756037 | + | 0.104060i | −0.845144 | − | 0.534539i | \(-0.820485\pi\) |
0.769540 | + | 0.638598i | \(0.220485\pi\) | |||||||
\(774\) | 2.70537 | + | 0.626124i | 0.0972426 | + | 0.0225056i | ||||
\(775\) | 5.14486 | − | 15.8343i | 0.184809 | − | 0.568784i | ||||
\(776\) | 33.1367 | − | 101.984i | 1.18954 | − | 3.66102i | ||||
\(777\) | 6.23829 | + | 4.13146i | 0.223797 | + | 0.148215i | ||||
\(778\) | −37.6352 | + | 51.8004i | −1.34929 | + | 1.85713i | ||||
\(779\) | −3.99452 | + | 1.29790i | −0.143119 | + | 0.0465020i | ||||
\(780\) | −28.2576 | + | 10.5564i | −1.01178 | + | 0.377979i | ||||
\(781\) | 1.84172 | − | 0.504554i | 0.0659020 | − | 0.0180544i | ||||
\(782\) | − | 105.012i | − | 3.75522i | ||||||
\(783\) | −36.8640 | − | 6.86324i | −1.31741 | − | 0.245272i | ||||
\(784\) | −30.8110 | − | 22.3855i | −1.10039 | − | 0.799481i | ||||
\(785\) | −36.9763 | − | 50.8935i | −1.31974 | − | 1.81647i | ||||
\(786\) | −2.64137 | − | 60.8745i | −0.0942144 | − | 2.17132i | ||||
\(787\) | 30.5714 | + | 9.93324i | 1.08975 | + | 0.354082i | 0.798150 | − | 0.602458i | \(-0.205812\pi\) |
0.291601 | + | 0.956540i | \(0.405812\pi\) | |||||||
\(788\) | 47.3375 | − | 34.3927i | 1.68633 | − | 1.22519i | ||||
\(789\) | 20.8345 | + | 5.78399i | 0.741729 | + | 0.205915i | ||||
\(790\) | −18.3909 | − | 56.6014i | −0.654319 | − | 2.01379i | ||||
\(791\) | 30.4508 | 1.08271 | ||||||||
\(792\) | −72.9796 | − | 48.6902i | −2.59322 | − | 1.73013i | ||||
\(793\) | 10.0009 | 0.355143 | ||||||||
\(794\) | −4.55322 | − | 14.0134i | −0.161588 | − | 0.497316i | ||||
\(795\) | 0.279165 | + | 0.0775005i | 0.00990096 | + | 0.00274866i | ||||
\(796\) | −82.7566 | + | 60.1262i | −2.93323 | + | 2.13112i | ||||
\(797\) | −34.4434 | − | 11.1913i | −1.22005 | − | 0.396418i | −0.372949 | − | 0.927852i | \(-0.621653\pi\) |
−0.847100 | + | 0.531434i | \(0.821653\pi\) | |||||||
\(798\) | −1.06493 | − | 24.5431i | −0.0376982 | − | 0.868816i | ||||
\(799\) | −6.30481 | − | 8.67782i | −0.223048 | − | 0.306999i | ||||
\(800\) | −86.4483 | − | 62.8084i | −3.05641 | − | 2.22061i | ||||
\(801\) | 11.7536 | − | 19.5374i | 0.415294 | − | 0.690320i | ||||
\(802\) | 29.3272i | 1.03558i | ||||||||
\(803\) | −17.7613 | − | 6.70412i | −0.626784 | − | 0.236583i | ||||
\(804\) | 92.3106 | − | 34.4851i | 3.25554 | − | 1.21620i | ||||
\(805\) | 36.7812 | − | 11.9509i | 1.29637 | − | 0.421215i | ||||
\(806\) | 4.45681 | − | 6.13427i | 0.156984 | − | 0.216070i | ||||
\(807\) | −16.4757 | − | 10.9114i | −0.579973 | − | 0.384101i | ||||
\(808\) | 49.2306 | − | 151.516i | 1.73193 | − | 5.33032i | ||||
\(809\) | 6.84925 | − | 21.0798i | 0.240807 | − | 0.741128i | −0.755491 | − | 0.655159i | \(-0.772602\pi\) |
0.996298 | − | 0.0859684i | \(-0.0273984\pi\) | |||||||
\(810\) | −70.8466 | + | 37.5717i | −2.48929 | + | 1.32013i | ||||
\(811\) | 29.4347 | − | 40.5134i | 1.03359 | − | 1.42262i | 0.131376 | − | 0.991333i | \(-0.458061\pi\) |
0.902216 | − | 0.431285i | \(-0.141939\pi\) | |||||||
\(812\) | −73.4368 | + | 23.8610i | −2.57712 | + | 0.837359i | ||||
\(813\) | 8.19619 | + | 21.9398i | 0.287453 | + | 0.769461i | ||||
\(814\) | −19.0065 | − | 0.889442i | −0.666177 | − | 0.0311749i | ||||
\(815\) | − | 17.0397i | − | 0.596876i | ||||||
\(816\) | 96.3806 | + | 121.234i | 3.37400 | + | 4.24405i | ||||
\(817\) | −0.719553 | − | 0.522786i | −0.0251740 | − | 0.0182900i | ||||
\(818\) | 37.6504 | + | 51.8214i | 1.31642 | + | 1.81189i | ||||
\(819\) | 2.37691 | + | 5.60807i | 0.0830559 | + | 0.195962i | ||||
\(820\) | 26.8514 | + | 8.72456i | 0.937692 | + | 0.304675i | ||||
\(821\) | −6.60644 | + | 4.79986i | −0.230566 | + | 0.167516i | −0.697070 | − | 0.717003i | \(-0.745513\pi\) |
0.466504 | + | 0.884519i | \(0.345513\pi\) | |||||||
\(822\) | 20.0808 | − | 72.3333i | 0.700400 | − | 2.52291i | ||||
\(823\) | 0.0221577 | + | 0.0681943i | 0.000772368 | + | 0.00237710i | 0.951442 | − | 0.307828i | \(-0.0996022\pi\) |
−0.950670 | + | 0.310205i | \(0.899602\pi\) | |||||||
\(824\) | −66.7386 | −2.32495 | ||||||||
\(825\) | −32.3101 | − | 10.6198i | −1.12489 | − | 0.369733i | ||||
\(826\) | 42.5433 | 1.48027 | ||||||||
\(827\) | −5.56574 | − | 17.1296i | −0.193540 | − | 0.595654i | −0.999991 | − | 0.00435286i | \(-0.998614\pi\) |
0.806451 | − | 0.591301i | \(-0.201386\pi\) | |||||||
\(828\) | 7.89371 | + | 90.7904i | 0.274325 | + | 3.15518i | ||||
\(829\) | −10.0386 | + | 7.29348i | −0.348656 | + | 0.253313i | −0.748305 | − | 0.663355i | \(-0.769132\pi\) |
0.399649 | + | 0.916668i | \(0.369132\pi\) | |||||||
\(830\) | −15.0225 | − | 4.88112i | −0.521440 | − | 0.169426i | ||||
\(831\) | −3.60133 | + | 0.156263i | −0.124929 | + | 0.00542069i | ||||
\(832\) | −13.0468 | − | 17.9573i | −0.452315 | − | 0.622558i | ||||
\(833\) | 15.7307 | + | 11.4290i | 0.545037 | + | 0.395993i | ||||
\(834\) | 21.0043 | − | 16.6983i | 0.727319 | − | 0.578215i | ||||
\(835\) | − | 51.7539i | − | 1.79102i | ||||||
\(836\) | 24.8764 | + | 37.8408i | 0.860367 | + | 1.30875i | ||||
\(837\) | 6.98275 | − | 12.8358i | 0.241359 | − | 0.443670i | ||||
\(838\) | 9.70335 | − | 3.15281i | 0.335196 | − | 0.108912i | ||||
\(839\) | 14.2229 | − | 19.5761i | 0.491028 | − | 0.675842i | −0.489549 | − | 0.871976i | \(-0.662839\pi\) |
0.980577 | + | 0.196134i | \(0.0628387\pi\) | |||||||
\(840\) | −56.5784 | + | 85.4305i | −1.95214 | + | 2.94763i | ||||
\(841\) | 7.13093 | − | 21.9467i | 0.245894 | − | 0.756784i | ||||
\(842\) | 17.1332 | − | 52.7304i | 0.590448 | − | 1.81721i | ||||
\(843\) | −18.8223 | + | 28.4207i | −0.648274 | + | 0.978860i | ||||
\(844\) | −17.4171 | + | 23.9726i | −0.599522 | + | 0.825172i | ||||
\(845\) | −3.14288 | + | 1.02118i | −0.108118 | + | 0.0351298i | ||||
\(846\) | 8.41944 | + | 9.69603i | 0.289466 | + | 0.333357i | ||||
\(847\) | −21.7922 | + | 4.88767i | −0.748789 | + | 0.167942i | ||||
\(848\) | 0.669874i | 0.0230036i | ||||||||
\(849\) | −38.1623 | + | 30.3388i | −1.30973 | + | 1.04123i | ||||
\(850\) | 87.2613 | + | 63.3990i | 2.99304 | + | 2.17457i | ||||
\(851\) | 7.20877 | + | 9.92202i | 0.247113 | + | 0.340122i | ||||
\(852\) | 5.25069 | − | 0.227829i | 0.179886 | − | 0.00780530i | ||||
\(853\) | −26.3270 | − | 8.55415i | −0.901418 | − | 0.292889i | −0.178596 | − | 0.983922i | \(-0.557155\pi\) |
−0.722822 | + | 0.691034i | \(0.757155\pi\) | |||||||
\(854\) | 44.2930 | − | 32.1808i | 1.51568 | − | 1.10120i | ||||
\(855\) | 25.5886 | − | 2.22479i | 0.875113 | − | 0.0760861i | ||||
\(856\) | −10.0749 | − | 31.0074i | −0.344354 | − | 1.05981i | ||||
\(857\) | 25.5387 | 0.872384 | 0.436192 | − | 0.899854i | \(-0.356327\pi\) | ||||
0.436192 | + | 0.899854i | \(0.356327\pi\) | |||||||
\(858\) | −12.5000 | − | 9.14685i | −0.426742 | − | 0.312268i | ||||
\(859\) | 19.7694 | 0.674524 | 0.337262 | − | 0.941411i | \(-0.390499\pi\) | ||||
0.337262 | + | 0.941411i | \(0.390499\pi\) | |||||||
\(860\) | 1.84752 | + | 5.68609i | 0.0630000 | + | 0.193894i | ||||
\(861\) | 1.52499 | − | 5.49317i | 0.0519715 | − | 0.187207i | ||||
\(862\) | −15.7542 | + | 11.4461i | −0.536589 | + | 0.389855i | ||||
\(863\) | 13.0307 | + | 4.23392i | 0.443569 | + | 0.144124i | 0.522282 | − | 0.852773i | \(-0.325081\pi\) |
−0.0787126 | + | 0.996897i | \(0.525081\pi\) | |||||||
\(864\) | −64.5007 | − | 68.0799i | −2.19436 | − | 2.31613i | ||||
\(865\) | 3.31405 | + | 4.56140i | 0.112681 | + | 0.155092i | ||||
\(866\) | 44.9108 | + | 32.6296i | 1.52613 | + | 1.10880i | ||||
\(867\) | −30.8840 | − | 38.8481i | −1.04888 | − | 1.31935i | ||||
\(868\) | − | 30.0900i | − | 1.02132i | ||||||
\(869\) | 13.8445 | − | 17.2936i | 0.469643 | − | 0.586644i | ||||
\(870\) | −38.9748 | − | 104.329i | −1.32137 | − | 3.53707i | ||||
\(871\) | 10.2670 | − | 3.33596i | 0.347885 | − | 0.113035i | ||||
\(872\) | −48.6478 | + | 66.9580i | −1.64742 | + | 2.26748i | ||||
\(873\) | 8.22650 | − | 35.5453i | 0.278425 | − | 1.20302i | ||||
\(874\) | 12.4430 | − | 38.2957i | 0.420892 | − | 1.29537i | ||||
\(875\) | −1.90849 | + | 5.87372i | −0.0645186 | + | 0.198568i | ||||
\(876\) | −43.5626 | − | 28.8504i | −1.47184 | − | 0.974763i | ||||
\(877\) | −4.36370 | + | 6.00611i | −0.147352 | + | 0.202812i | −0.876312 | − | 0.481744i | \(-0.840004\pi\) |
0.728961 | + | 0.684556i | \(0.240004\pi\) | |||||||
\(878\) | 22.4019 | − | 7.27881i | 0.756027 | − | 0.245648i | ||||
\(879\) | −7.31544 | + | 2.73288i | −0.246744 | + | 0.0921778i | ||||
\(880\) | 6.78032 | − | 144.889i | 0.228564 | − | 4.88419i | ||||
\(881\) | 53.1599i | 1.79100i | 0.445059 | + | 0.895501i | \(0.353183\pi\) | ||||
−0.445059 | + | 0.895501i | \(0.646817\pi\) | |||||||
\(882\) | −19.9468 | − | 11.9999i | −0.671643 | − | 0.404058i | ||||
\(883\) | −17.5625 | − | 12.7599i | −0.591026 | − | 0.429405i | 0.251656 | − | 0.967817i | \(-0.419025\pi\) |
−0.842682 | + | 0.538411i | \(0.819025\pi\) | |||||||
\(884\) | 20.9303 | + | 28.8081i | 0.703962 | + | 0.968920i | ||||
\(885\) | 1.92823 | + | 44.4393i | 0.0648169 | + | 1.49381i | ||||
\(886\) | −98.8749 | − | 32.1264i | −3.32177 | − | 1.07931i | ||||
\(887\) | −25.9916 | + | 18.8840i | −0.872713 | + | 0.634063i | −0.931314 | − | 0.364218i | \(-0.881336\pi\) |
0.0586006 | + | 0.998282i | \(0.481336\pi\) | |||||||
\(888\) | −31.3101 | − | 8.69217i | −1.05070 | − | 0.291690i | ||||
\(889\) | −1.19205 | − | 3.66875i | −0.0399801 | − | 0.123046i | ||||
\(890\) | 67.7194 | 2.26996 | ||||||||
\(891\) | −26.1722 | − | 14.3533i | −0.876801 | − | 0.480854i | ||||
\(892\) | 82.0288 | 2.74653 | ||||||||
\(893\) | −1.27098 | − | 3.91169i | −0.0425319 | − | 0.130900i | ||||
\(894\) | 79.3944 | + | 22.0411i | 2.65535 | + | 0.737165i | ||||
\(895\) | −9.23956 | + | 6.71293i | −0.308844 | + | 0.224389i | ||||
\(896\) | −45.8636 | − | 14.9020i | −1.53219 | − | 0.497840i | ||||
\(897\) | 0.432790 | + | 9.97435i | 0.0144504 | + | 0.333034i | ||||
\(898\) | 37.7928 | + | 52.0174i | 1.26116 | + | 1.73584i | ||||
\(899\) | 16.4177 | + | 11.9281i | 0.547559 | + | 0.397825i | ||||
\(900\) | −80.2093 | − | 48.2536i | −2.67364 | − | 1.60845i | ||||
\(901\) | − | 0.342008i | − | 0.0113939i | ||||||
\(902\) | 3.83049 | + | 13.9821i | 0.127541 | + | 0.465552i | ||||
\(903\) | 1.13090 | − | 0.422477i | 0.0376339 | − | 0.0140592i | ||||
\(904\) | −125.769 | + | 40.8649i | −4.18303 | + | 1.35915i | ||||
\(905\) | −34.9886 | + | 48.1577i | −1.16306 | + | 1.60081i | ||||
\(906\) | −44.6225 | − | 29.5524i | −1.48248 | − | 0.981811i | ||||
\(907\) | −1.73898 | + | 5.35202i | −0.0577418 | + | 0.177711i | −0.975768 | − | 0.218810i | \(-0.929783\pi\) |
0.918026 | + | 0.396521i | \(0.129783\pi\) | |||||||
\(908\) | −14.0644 | + | 43.2858i | −0.466744 | + | 1.43649i | ||||
\(909\) | 12.2220 | − | 52.8090i | 0.405377 | − | 1.75156i | ||||
\(910\) | −10.6335 | + | 14.6358i | −0.352498 | + | 0.485172i | ||||
\(911\) | −29.0386 | + | 9.43521i | −0.962092 | + | 0.312603i | −0.747619 | − | 0.664127i | \(-0.768803\pi\) |
−0.214472 | + | 0.976730i | \(0.568803\pi\) | |||||||
\(912\) | 20.7828 | + | 55.6319i | 0.688187 | + | 1.84216i | ||||
\(913\) | −1.55349 | − | 5.67056i | −0.0514131 | − | 0.187668i | ||||
\(914\) | − | 16.0245i | − | 0.530043i | ||||||
\(915\) | 35.6225 | + | 44.8084i | 1.17764 | + | 1.48132i | ||||
\(916\) | −46.5157 | − | 33.7956i | −1.53692 | − | 1.11664i | ||||
\(917\) | −15.5703 | − | 21.4307i | −0.514177 | − | 0.707704i | ||||
\(918\) | 65.1072 | + | 68.7201i | 2.14886 | + | 2.26810i | ||||
\(919\) | 18.9163 | + | 6.14627i | 0.623990 | + | 0.202747i | 0.603911 | − | 0.797052i | \(-0.293608\pi\) |
0.0200790 | + | 0.999798i | \(0.493608\pi\) | |||||||
\(920\) | −135.878 | + | 98.7208i | −4.47975 | + | 3.25473i | ||||
\(921\) | 7.32318 | − | 26.3789i | 0.241307 | − | 0.869213i | ||||
\(922\) | 15.3689 | + | 47.3006i | 0.506148 | + | 1.55776i | ||||
\(923\) | 0.575762 | 0.0189514 | ||||||||
\(924\) | −61.4670 | − | 0.208960i | −2.02212 | − | 0.00687426i | ||||
\(925\) | −12.5970 | −0.414187 | ||||||||
\(926\) | −5.77940 | − | 17.7872i | −0.189923 | − | 0.584523i | ||||
\(927\) | −22.6218 | + | 1.96683i | −0.742997 | + | 0.0645993i | ||||
\(928\) | 105.370 | − | 76.5560i | 3.45895 | − | 2.51307i | ||||
\(929\) | 25.5354 | + | 8.29696i | 0.837790 | + | 0.272214i | 0.696323 | − | 0.717729i | \(-0.254818\pi\) |
0.141467 | + | 0.989943i | \(0.454818\pi\) | |||||||
\(930\) | 43.3589 | − | 1.88136i | 1.42179 | − | 0.0616921i | ||||
\(931\) | 4.38242 | + | 6.03189i | 0.143628 | + | 0.197687i | ||||
\(932\) | 37.7065 | + | 27.3954i | 1.23512 | + | 0.897367i | ||||
\(933\) | 29.5035 | − | 23.4552i | 0.965903 | − | 0.767888i | ||||
\(934\) | − | 15.7521i | − | 0.515424i | ||||||
\(935\) | −3.46173 | + | 73.9737i | −0.113211 | + | 2.41920i | ||||
\(936\) | −17.3432 | − | 19.9729i | −0.566882 | − | 0.652835i | ||||
\(937\) | −27.1751 | + | 8.82971i | −0.887771 | + | 0.288454i | −0.717180 | − | 0.696888i | \(-0.754568\pi\) |
−0.170590 | + | 0.985342i | \(0.554568\pi\) | |||||||
\(938\) | 34.7371 | − | 47.8116i | 1.13421 | − | 1.56110i | ||||
\(939\) | −17.6354 | + | 26.6285i | −0.575509 | + | 0.868988i | ||||
\(940\) | −8.54364 | + | 26.2946i | −0.278663 | + | 0.857636i | ||||
\(941\) | 5.83185 | − | 17.9486i | 0.190113 | − | 0.585107i | −0.809886 | − | 0.586587i | \(-0.800471\pi\) |
0.999999 | + | 0.00148019i | \(0.000471161\pi\) | |||||||
\(942\) | 49.0888 | − | 74.1215i | 1.59940 | − | 2.41501i | ||||
\(943\) | 5.49250 | − | 7.55977i | 0.178860 | − | 0.246180i | ||||
\(944\) | −97.8120 | + | 31.7810i | −3.18351 | + | 1.03438i | ||||
\(945\) | −16.6602 | + | 30.6250i | −0.541956 | + | 0.996232i | ||||
\(946\) | −1.91860 | + | 2.39658i | −0.0623792 | + | 0.0779196i | ||||
\(947\) | 49.2027i | 1.59887i | 0.600751 | + | 0.799436i | \(0.294868\pi\) | ||||
−0.600751 | + | 0.799436i | \(0.705132\pi\) | |||||||
\(948\) | 47.7253 | − | 37.9414i | 1.55004 | − | 1.23228i | ||||
\(949\) | −4.63084 | − | 3.36450i | −0.150324 | − | 0.109216i | ||||
\(950\) | 24.3101 | + | 33.4600i | 0.788725 | + | 1.08559i | ||||
\(951\) | −31.2059 | + | 1.35404i | −1.01192 | + | 0.0439076i | ||||
\(952\) | 115.039 | + | 37.3783i | 3.72843 | + | 1.21144i | ||||
\(953\) | 34.8353 | − | 25.3093i | 1.12843 | − | 0.819849i | 0.142960 | − | 0.989728i | \(-0.454338\pi\) |
0.985465 | + | 0.169880i | \(0.0543379\pi\) | |||||||
\(954\) | 0.0354650 | + | 0.407904i | 0.00114822 | + | 0.0132064i | ||||
\(955\) | 3.07861 | + | 9.47500i | 0.0996216 | + | 0.306604i | ||||
\(956\) | −80.5344 | −2.60467 | ||||||||
\(957\) | 24.4805 | − | 33.4547i | 0.791342 | − | 1.08144i | ||||
\(958\) | 62.2053 | 2.00976 | ||||||||
\(959\) | −10.0850 | − | 31.0385i | −0.325663 | − | 1.00229i | ||||
\(960\) | 33.9850 | − | 122.417i | 1.09686 | − | 3.95101i | ||||
\(961\) | 18.6818 | − | 13.5731i | 0.602639 | − | 0.437843i | ||||
\(962\) | −5.45616 | − | 1.77281i | −0.175914 | − | 0.0571578i | ||||
\(963\) | −4.32882 | − | 10.2134i | −0.139494 | − | 0.329122i | ||||
\(964\) | 73.2899 | + | 100.875i | 2.36051 | + | 3.24896i | ||||
\(965\) | 22.0171 | + | 15.9963i | 0.708754 | + | 0.514940i | ||||
\(966\) | 34.0120 | + | 42.7827i | 1.09432 | + | 1.37651i | ||||
\(967\) | 30.3353i | 0.975518i | 0.872978 | + | 0.487759i | \(0.162186\pi\) | ||||
−0.872978 | + | 0.487759i | \(0.837814\pi\) | |||||||
\(968\) | 83.4481 | − | 49.4325i | 2.68212 | − | 1.58882i | ||||
\(969\) | −10.6108 | − | 28.4032i | −0.340867 | − | 0.912442i | ||||
\(970\) | 103.060 | − | 33.4862i | 3.30905 | − | 1.07518i | ||||
\(971\) | −1.61065 | + | 2.21687i | −0.0516881 | + | 0.0711426i | −0.834079 | − | 0.551646i | \(-0.814000\pi\) |
0.782391 | + | 0.622788i | \(0.214000\pi\) | |||||||
\(972\) | −61.4555 | − | 54.5194i | −1.97119 | − | 1.74871i | ||||
\(973\) | 3.60485 | − | 11.0946i | 0.115566 | − | 0.355676i | ||||
\(974\) | −9.62375 | + | 29.6189i | −0.308365 | + | 0.949049i | ||||
\(975\) | −8.54963 | − | 5.66220i | −0.273807 | − | 0.181335i | ||||
\(976\) | −77.7948 | + | 107.075i | −2.49015 | + | 3.42740i | ||||
\(977\) | −54.1254 | + | 17.5864i | −1.73163 | + | 0.562640i | −0.993683 | − | 0.112223i | \(-0.964203\pi\) |
−0.737943 | + | 0.674863i | \(0.764203\pi\) | |||||||
\(978\) | 22.5582 | − | 8.42723i | 0.721332 | − | 0.269473i | ||||
\(979\) | 13.8467 | + | 21.0630i | 0.442542 | + | 0.673176i | ||||
\(980\) | − | 50.1185i | − | 1.60098i | ||||||
\(981\) | −14.5164 | + | 24.1298i | −0.463473 | + | 0.770406i | ||||
\(982\) | −5.26562 | − | 3.82569i | −0.168033 | − | 0.122083i | ||||
\(983\) | −5.05623 | − | 6.95930i | −0.161269 | − | 0.221967i | 0.720734 | − | 0.693212i | \(-0.243805\pi\) |
−0.882003 | + | 0.471245i | \(0.843805\pi\) | |||||||
\(984\) | 1.07325 | + | 24.7347i | 0.0342139 | + | 0.788514i | ||||
\(985\) | 34.8942 | + | 11.3378i | 1.11182 | + | 0.361253i | ||||
\(986\) | −106.361 | + | 77.2760i | −3.38723 | + | 2.46097i | ||||
\(987\) | 5.37926 | + | 1.49337i | 0.171224 | + | 0.0475344i | ||||
\(988\) | 4.21933 | + | 12.9858i | 0.134235 | + | 0.413132i | ||||
\(989\) | 1.97878 | 0.0629216 | ||||||||
\(990\) | −3.54208 | − | 88.5856i | −0.112575 | − | 2.81543i | ||||
\(991\) | 52.1303 | 1.65597 | 0.827987 | − | 0.560747i | \(-0.189486\pi\) | ||||
0.827987 | + | 0.560747i | \(0.189486\pi\) | |||||||
\(992\) | 15.6840 | + | 48.2705i | 0.497968 | + | 1.53259i | ||||
\(993\) | −32.7746 | − | 9.09873i | −1.04007 | − | 0.288740i | ||||
\(994\) | 2.54999 | − | 1.85267i | 0.0808807 | − | 0.0587632i | ||||
\(995\) | −61.0030 | − | 19.8211i | −1.93392 | − | 0.628370i | ||||
\(996\) | −0.701473 | − | 16.1666i | −0.0222270 | − | 0.512258i | ||||
\(997\) | −16.0064 | − | 22.0310i | −0.506929 | − | 0.697728i | 0.476469 | − | 0.879191i | \(-0.341917\pi\) |
−0.983398 | + | 0.181463i | \(0.941917\pi\) | |||||||
\(998\) | −74.9145 | − | 54.4286i | −2.37138 | − | 1.72291i | ||||
\(999\) | −10.8691 | − | 2.02357i | −0.343882 | − | 0.0640231i |
(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 | 429.2.x.a.248.2 | ✓ | 192 | |
3.2 | odd | 2 | inner | 429.2.x.a.248.47 | yes | 192 | |
11.2 | odd | 10 | inner | 429.2.x.a.365.47 | yes | 192 | |
33.2 | even | 10 | inner | 429.2.x.a.365.2 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.x.a.248.2 | ✓ | 192 | 1.1 | even | 1 | trivial | |
429.2.x.a.248.47 | yes | 192 | 3.2 | odd | 2 | inner | |
429.2.x.a.365.2 | yes | 192 | 33.2 | even | 10 | inner | |
429.2.x.a.365.47 | yes | 192 | 11.2 | odd | 10 | inner |