Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(31,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.o (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: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.1 | ||
Character | \(\chi\) | \(=\) | 140.131 |
Dual form | 140.2.o.a.31.1 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39328 | − | 0.242400i | −0.985201 | − | 0.171403i | ||||
\(3\) | −0.406021 | − | 0.703249i | −0.234416 | − | 0.406021i | 0.724687 | − | 0.689079i | \(-0.241985\pi\) |
−0.959103 | + | 0.283058i | \(0.908651\pi\) | |||||||
\(4\) | 1.88248 | + | 0.675465i | 0.941242 | + | 0.337733i | ||||
\(5\) | 0.866025 | + | 0.500000i | 0.387298 | + | 0.223607i | ||||
\(6\) | 0.395235 | + | 1.07825i | 0.161354 | + | 0.440192i | ||||
\(7\) | 0.336411 | + | 2.62428i | 0.127151 | + | 0.991883i | ||||
\(8\) | −2.45910 | − | 1.39743i | −0.869424 | − | 0.494066i | ||||
\(9\) | 1.17029 | − | 2.02701i | 0.390098 | − | 0.675670i | ||||
\(10\) | −1.08542 | − | 0.906567i | −0.343240 | − | 0.286682i | ||||
\(11\) | 4.20925 | − | 2.43021i | 1.26914 | − | 0.732737i | 0.294313 | − | 0.955709i | \(-0.404909\pi\) |
0.974825 | + | 0.222972i | \(0.0715759\pi\) | |||||||
\(12\) | −0.289308 | − | 1.59811i | −0.0835160 | − | 0.461334i | ||||
\(13\) | 0.895933i | 0.248487i | 0.992252 | + | 0.124244i | \(0.0396504\pi\) | ||||
−0.992252 | + | 0.124244i | \(0.960350\pi\) | |||||||
\(14\) | 0.167409 | − | 3.73791i | 0.0447419 | − | 0.998999i | ||||
\(15\) | − | 0.812042i | − | 0.209668i | ||||||
\(16\) | 3.08749 | + | 2.54310i | 0.771873 | + | 0.635776i | ||||
\(17\) | 5.10231 | − | 2.94582i | 1.23749 | − | 0.714467i | 0.268911 | − | 0.963165i | \(-0.413336\pi\) |
0.968581 | + | 0.248698i | \(0.0800028\pi\) | |||||||
\(18\) | −2.12190 | + | 2.54052i | −0.500137 | + | 0.598806i | ||||
\(19\) | −1.45818 | + | 2.52565i | −0.334530 | + | 0.579423i | −0.983394 | − | 0.181481i | \(-0.941911\pi\) |
0.648865 | + | 0.760904i | \(0.275244\pi\) | |||||||
\(20\) | 1.29255 | + | 1.52621i | 0.289022 | + | 0.341271i | ||||
\(21\) | 1.70893 | − | 1.30209i | 0.372919 | − | 0.284140i | ||||
\(22\) | −6.45377 | + | 2.36566i | −1.37595 | + | 0.504359i | ||||
\(23\) | −1.35231 | − | 0.780755i | −0.281976 | − | 0.162799i | 0.352342 | − | 0.935871i | \(-0.385385\pi\) |
−0.634317 | + | 0.773073i | \(0.718719\pi\) | |||||||
\(24\) | 0.0157066 | + | 2.29675i | 0.00320610 | + | 0.468822i | ||||
\(25\) | 0.500000 | + | 0.866025i | 0.100000 | + | 0.173205i | ||||
\(26\) | 0.217174 | − | 1.24829i | 0.0425914 | − | 0.244810i | ||||
\(27\) | −4.33678 | −0.834614 | ||||||||
\(28\) | −1.13932 | + | 5.16739i | −0.215311 | + | 0.976546i | ||||
\(29\) | −9.73084 | −1.80697 | −0.903486 | − | 0.428618i | \(-0.859001\pi\) | ||||
−0.903486 | + | 0.428618i | \(0.859001\pi\) | |||||||
\(30\) | −0.196839 | + | 1.13141i | −0.0359377 | + | 0.206565i | ||||
\(31\) | 2.20757 | + | 3.82363i | 0.396492 | + | 0.686744i | 0.993290 | − | 0.115647i | \(-0.0368941\pi\) |
−0.596798 | + | 0.802391i | \(0.703561\pi\) | |||||||
\(32\) | −3.68531 | − | 4.29168i | −0.651477 | − | 0.758669i | ||||
\(33\) | −3.41809 | − | 1.97344i | −0.595013 | − | 0.343531i | ||||
\(34\) | −7.82304 | + | 2.86757i | −1.34164 | + | 0.491783i | ||||
\(35\) | −1.02080 | + | 2.44090i | −0.172546 | + | 0.412587i | ||||
\(36\) | 3.57223 | − | 3.02532i | 0.595372 | − | 0.504220i | ||||
\(37\) | 0.910682 | − | 1.57735i | 0.149715 | − | 0.259314i | −0.781407 | − | 0.624022i | \(-0.785498\pi\) |
0.931122 | + | 0.364707i | \(0.118831\pi\) | |||||||
\(38\) | 2.64388 | − | 3.16548i | 0.428894 | − | 0.513509i | ||||
\(39\) | 0.630064 | − | 0.363768i | 0.100891 | − | 0.0582494i | ||||
\(40\) | −1.43093 | − | 2.43976i | −0.226250 | − | 0.385760i | ||||
\(41\) | 10.4920i | 1.63858i | 0.573381 | + | 0.819289i | \(0.305632\pi\) | ||||
−0.573381 | + | 0.819289i | \(0.694368\pi\) | |||||||
\(42\) | −2.69665 | + | 1.39994i | −0.416103 | + | 0.216015i | ||||
\(43\) | − | 3.04581i | − | 0.464481i | −0.972658 | − | 0.232240i | \(-0.925394\pi\) | ||
0.972658 | − | 0.232240i | \(-0.0746056\pi\) | |||||||
\(44\) | 9.56538 | − | 1.73164i | 1.44204 | − | 0.261054i | ||||
\(45\) | 2.02701 | − | 1.17029i | 0.302169 | − | 0.174457i | ||||
\(46\) | 1.69489 | + | 1.41561i | 0.249898 | + | 0.208721i | ||||
\(47\) | −2.60966 | + | 4.52006i | −0.380658 | + | 0.659319i | −0.991156 | − | 0.132698i | \(-0.957636\pi\) |
0.610498 | + | 0.792017i | \(0.290969\pi\) | |||||||
\(48\) | 0.534848 | − | 3.20383i | 0.0771987 | − | 0.462433i | ||||
\(49\) | −6.77366 | + | 1.76567i | −0.967665 | + | 0.252239i | ||||
\(50\) | −0.486718 | − | 1.32782i | −0.0688323 | − | 0.187782i | ||||
\(51\) | −4.14329 | − | 2.39213i | −0.580177 | − | 0.334965i | ||||
\(52\) | −0.605172 | + | 1.68658i | −0.0839222 | + | 0.233887i | ||||
\(53\) | −0.0898619 | − | 0.155645i | −0.0123435 | − | 0.0213795i | 0.859788 | − | 0.510652i | \(-0.170596\pi\) |
−0.872131 | + | 0.489272i | \(0.837262\pi\) | |||||||
\(54\) | 6.04237 | + | 1.05124i | 0.822262 | + | 0.143055i | ||||
\(55\) | 4.86043 | 0.655380 | ||||||||
\(56\) | 2.83997 | − | 6.92348i | 0.379507 | − | 0.925189i | ||||
\(57\) | 2.36821 | 0.313677 | ||||||||
\(58\) | 13.5578 | + | 2.35876i | 1.78023 | + | 0.309720i | ||||
\(59\) | −5.68287 | − | 9.84302i | −0.739846 | − | 1.28145i | −0.952564 | − | 0.304338i | \(-0.901565\pi\) |
0.212718 | − | 0.977114i | \(-0.431768\pi\) | |||||||
\(60\) | 0.548506 | − | 1.52866i | 0.0708118 | − | 0.197349i | ||||
\(61\) | −5.33107 | − | 3.07789i | −0.682573 | − | 0.394084i | 0.118251 | − | 0.992984i | \(-0.462271\pi\) |
−0.800824 | + | 0.598900i | \(0.795605\pi\) | |||||||
\(62\) | −2.14893 | − | 5.86252i | −0.272914 | − | 0.744541i | ||||
\(63\) | 5.71313 | + | 2.38927i | 0.719787 | + | 0.301019i | ||||
\(64\) | 4.09438 | + | 6.87285i | 0.511798 | + | 0.859106i | ||||
\(65\) | −0.447967 | + | 0.775901i | −0.0555634 | + | 0.0962387i | ||||
\(66\) | 4.28401 | + | 3.57810i | 0.527325 | + | 0.440434i | ||||
\(67\) | 6.75417 | − | 3.89952i | 0.825154 | − | 0.476403i | −0.0270367 | − | 0.999634i | \(-0.508607\pi\) |
0.852190 | + | 0.523232i | \(0.175274\pi\) | |||||||
\(68\) | 11.5948 | − | 2.09903i | 1.40608 | − | 0.254545i | ||||
\(69\) | 1.26801i | 0.152651i | ||||||||
\(70\) | 2.01394 | − | 3.15342i | 0.240711 | − | 0.376906i | ||||
\(71\) | − | 8.38078i | − | 0.994616i | −0.867574 | − | 0.497308i | \(-0.834322\pi\) | ||
0.867574 | − | 0.497308i | \(-0.165678\pi\) | |||||||
\(72\) | −5.71048 | + | 3.34922i | −0.672986 | + | 0.394709i | ||||
\(73\) | −7.60453 | + | 4.39048i | −0.890043 | + | 0.513866i | −0.873956 | − | 0.486004i | \(-0.838454\pi\) |
−0.0160862 | + | 0.999871i | \(0.505121\pi\) | |||||||
\(74\) | −1.65119 | + | 1.97695i | −0.191947 | + | 0.229815i | ||||
\(75\) | 0.406021 | − | 0.703249i | 0.0468833 | − | 0.0812042i | ||||
\(76\) | −4.45099 | + | 3.76954i | −0.510564 | + | 0.432396i | ||||
\(77\) | 7.79359 | + | 10.2287i | 0.888162 | + | 1.16567i | ||||
\(78\) | −0.966036 | + | 0.354104i | −0.109382 | + | 0.0400944i | ||||
\(79\) | 3.14686 | + | 1.81684i | 0.354049 | + | 0.204410i | 0.666467 | − | 0.745534i | \(-0.267806\pi\) |
−0.312418 | + | 0.949945i | \(0.601139\pi\) | |||||||
\(80\) | 1.40230 | + | 3.74614i | 0.156781 | + | 0.418831i | ||||
\(81\) | −1.75006 | − | 3.03119i | −0.194451 | − | 0.336799i | ||||
\(82\) | 2.54327 | − | 14.6184i | 0.280857 | − | 1.61433i | ||||
\(83\) | −2.03796 | −0.223695 | −0.111847 | − | 0.993725i | \(-0.535677\pi\) | ||||
−0.111847 | + | 0.993725i | \(0.535677\pi\) | |||||||
\(84\) | 4.09655 | − | 1.29685i | 0.446970 | − | 0.141497i | ||||
\(85\) | 5.89164 | 0.639038 | ||||||||
\(86\) | −0.738304 | + | 4.24367i | −0.0796134 | + | 0.457607i | ||||
\(87\) | 3.95092 | + | 6.84320i | 0.423584 | + | 0.733668i | ||||
\(88\) | −13.7470 | + | 0.0940110i | −1.46544 | + | 0.0100216i | ||||
\(89\) | 1.52812 | + | 0.882262i | 0.161981 | + | 0.0935195i | 0.578799 | − | 0.815470i | \(-0.303522\pi\) |
−0.416818 | + | 0.908990i | \(0.636855\pi\) | |||||||
\(90\) | −3.10788 | + | 1.13921i | −0.327599 | + | 0.120083i | ||||
\(91\) | −2.35118 | + | 0.301402i | −0.246470 | + | 0.0315955i | ||||
\(92\) | −2.01832 | − | 2.38320i | −0.210425 | − | 0.248465i | ||||
\(93\) | 1.79264 | − | 3.10495i | 0.185888 | − | 0.321968i | ||||
\(94\) | 4.73166 | − | 5.66515i | 0.488034 | − | 0.584316i | ||||
\(95\) | −2.52565 | + | 1.45818i | −0.259126 | + | 0.149606i | ||||
\(96\) | −1.52181 | + | 4.33420i | −0.155319 | + | 0.442357i | ||||
\(97\) | − | 7.83641i | − | 0.795667i | −0.917458 | − | 0.397834i | \(-0.869762\pi\) | ||
0.917458 | − | 0.397834i | \(-0.130238\pi\) | |||||||
\(98\) | 9.86563 | − | 0.818148i | 0.996579 | − | 0.0826454i | ||||
\(99\) | − | 11.3763i | − | 1.14336i | ||||||
\(100\) | 0.356272 | + | 1.96801i | 0.0356272 | + | 0.196801i | ||||
\(101\) | −6.30931 | + | 3.64268i | −0.627799 | + | 0.362460i | −0.779899 | − | 0.625905i | \(-0.784730\pi\) |
0.152100 | + | 0.988365i | \(0.451396\pi\) | |||||||
\(102\) | 5.19293 | + | 4.33725i | 0.514177 | + | 0.429452i | ||||
\(103\) | −4.60525 | + | 7.97652i | −0.453768 | + | 0.785950i | −0.998616 | − | 0.0525850i | \(-0.983254\pi\) |
0.544848 | + | 0.838535i | \(0.316587\pi\) | |||||||
\(104\) | 1.25200 | − | 2.20319i | 0.122769 | − | 0.216041i | ||||
\(105\) | 2.13102 | − | 0.273180i | 0.207966 | − | 0.0266596i | ||||
\(106\) | 0.0874748 | + | 0.238641i | 0.00849630 | + | 0.0231789i | ||||
\(107\) | −12.9808 | − | 7.49445i | −1.25490 | − | 0.724516i | −0.282820 | − | 0.959173i | \(-0.591270\pi\) |
−0.972078 | + | 0.234657i | \(0.924603\pi\) | |||||||
\(108\) | −8.16392 | − | 2.92934i | −0.785574 | − | 0.281876i | ||||
\(109\) | −0.795610 | − | 1.37804i | −0.0762056 | − | 0.131992i | 0.825404 | − | 0.564542i | \(-0.190947\pi\) |
−0.901610 | + | 0.432550i | \(0.857614\pi\) | |||||||
\(110\) | −6.77196 | − | 1.17817i | −0.645681 | − | 0.112334i | ||||
\(111\) | −1.47902 | −0.140383 | ||||||||
\(112\) | −5.63514 | + | 8.95797i | −0.532471 | + | 0.846448i | ||||
\(113\) | 3.57866 | 0.336652 | 0.168326 | − | 0.985731i | \(-0.446164\pi\) | ||||
0.168326 | + | 0.985731i | \(0.446164\pi\) | |||||||
\(114\) | −3.29959 | − | 0.574055i | −0.309035 | − | 0.0537651i | ||||
\(115\) | −0.780755 | − | 1.35231i | −0.0728058 | − | 0.126103i | ||||
\(116\) | −18.3182 | − | 6.57284i | −1.70080 | − | 0.610273i | ||||
\(117\) | 1.81606 | + | 1.04851i | 0.167895 | + | 0.0969344i | ||||
\(118\) | 5.53190 | + | 15.0917i | 0.509253 | + | 1.38930i | ||||
\(119\) | 9.44712 | + | 12.3989i | 0.866016 | + | 1.13660i | ||||
\(120\) | −1.13477 | + | 1.99689i | −0.103590 | + | 0.182291i | ||||
\(121\) | 6.31188 | − | 10.9325i | 0.573807 | − | 0.993863i | ||||
\(122\) | 6.68161 | + | 5.58063i | 0.604925 | + | 0.505247i | ||||
\(123\) | 7.37850 | − | 4.25998i | 0.665297 | − | 0.384109i | ||||
\(124\) | 1.57299 | + | 8.68906i | 0.141259 | + | 0.780301i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −7.38086 | − | 4.71379i | −0.657539 | − | 0.419938i | ||||
\(127\) | 7.67404i | 0.680961i | 0.940252 | + | 0.340481i | \(0.110590\pi\) | ||||
−0.940252 | + | 0.340481i | \(0.889410\pi\) | |||||||
\(128\) | −4.03866 | − | 10.5683i | −0.356970 | − | 0.934116i | ||||
\(129\) | −2.14196 | + | 1.23666i | −0.188589 | + | 0.108882i | ||||
\(130\) | 0.812224 | − | 0.972464i | 0.0712367 | − | 0.0852907i | ||||
\(131\) | −9.95404 | + | 17.2409i | −0.869689 | + | 1.50635i | −0.00737416 | + | 0.999973i | \(0.502347\pi\) |
−0.862315 | + | 0.506373i | \(0.830986\pi\) | |||||||
\(132\) | −5.10151 | − | 6.02376i | −0.444030 | − | 0.524301i | ||||
\(133\) | −7.11854 | − | 2.97702i | −0.617256 | − | 0.258140i | ||||
\(134\) | −10.3557 | + | 3.79593i | −0.894599 | + | 0.327919i | ||||
\(135\) | −3.75576 | − | 2.16839i | −0.323245 | − | 0.186625i | ||||
\(136\) | −16.6637 | + | 0.113957i | −1.42890 | + | 0.00977172i | ||||
\(137\) | 4.41809 | + | 7.65236i | 0.377463 | + | 0.653785i | 0.990692 | − | 0.136120i | \(-0.0434632\pi\) |
−0.613229 | + | 0.789905i | \(0.710130\pi\) | |||||||
\(138\) | 0.307366 | − | 1.76670i | 0.0261648 | − | 0.150392i | ||||
\(139\) | 7.91285 | 0.671159 | 0.335580 | − | 0.942012i | \(-0.391068\pi\) | ||||
0.335580 | + | 0.942012i | \(0.391068\pi\) | |||||||
\(140\) | −3.57038 | + | 3.90543i | −0.301752 | + | 0.330069i | ||||
\(141\) | 4.23831 | 0.356930 | ||||||||
\(142\) | −2.03150 | + | 11.6768i | −0.170480 | + | 0.979897i | ||||
\(143\) | 2.17731 | + | 3.77121i | 0.182076 | + | 0.315364i | ||||
\(144\) | 8.76817 | − | 3.28220i | 0.730681 | − | 0.273516i | ||||
\(145\) | −8.42715 | − | 4.86542i | −0.699837 | − | 0.404051i | ||||
\(146\) | 11.6595 | − | 4.27384i | 0.964949 | − | 0.353706i | ||||
\(147\) | 3.99195 | + | 4.04667i | 0.329251 | + | 0.333763i | ||||
\(148\) | 2.77979 | − | 2.35420i | 0.228497 | − | 0.193514i | ||||
\(149\) | 0.861502 | − | 1.49217i | 0.0705770 | − | 0.122243i | −0.828577 | − | 0.559875i | \(-0.810849\pi\) |
0.899154 | + | 0.437632i | \(0.144183\pi\) | |||||||
\(150\) | −0.736170 | + | 0.881406i | −0.0601081 | + | 0.0719665i | ||||
\(151\) | 0.705057 | − | 0.407065i | 0.0573767 | − | 0.0331265i | −0.471037 | − | 0.882113i | \(-0.656120\pi\) |
0.528414 | + | 0.848987i | \(0.322787\pi\) | |||||||
\(152\) | 7.11523 | − | 4.17312i | 0.577122 | − | 0.338484i | ||||
\(153\) | − | 13.7899i | − | 1.11485i | ||||||
\(154\) | −8.37926 | − | 16.1407i | −0.675220 | − | 1.30065i | ||||
\(155\) | 4.41515i | 0.354633i | ||||||||
\(156\) | 1.43180 | − | 0.259201i | 0.114636 | − | 0.0207527i | ||||
\(157\) | 11.5660 | − | 6.67764i | 0.923068 | − | 0.532934i | 0.0384557 | − | 0.999260i | \(-0.487756\pi\) |
0.884613 | + | 0.466327i | \(0.154423\pi\) | |||||||
\(158\) | −3.94407 | − | 3.29417i | −0.313773 | − | 0.262070i | ||||
\(159\) | −0.0729717 | + | 0.126391i | −0.00578703 | + | 0.0100234i | ||||
\(160\) | −1.04573 | − | 5.55936i | −0.0826724 | − | 0.439506i | ||||
\(161\) | 1.59399 | − | 3.81148i | 0.125624 | − | 0.300387i | ||||
\(162\) | 1.70357 | + | 4.64753i | 0.133845 | + | 0.365144i | ||||
\(163\) | −7.77441 | − | 4.48856i | −0.608939 | − | 0.351571i | 0.163611 | − | 0.986525i | \(-0.447686\pi\) |
−0.772550 | + | 0.634954i | \(0.781019\pi\) | |||||||
\(164\) | −7.08699 | + | 19.7511i | −0.553401 | + | 1.54230i | ||||
\(165\) | −1.97344 | − | 3.41809i | −0.153632 | − | 0.266098i | ||||
\(166\) | 2.83945 | + | 0.494001i | 0.220384 | + | 0.0383419i | ||||
\(167\) | 17.0324 | 1.31801 | 0.659003 | − | 0.752140i | \(-0.270978\pi\) | ||||
0.659003 | + | 0.752140i | \(0.270978\pi\) | |||||||
\(168\) | −6.02202 | + | 0.813870i | −0.464609 | + | 0.0627914i | ||||
\(169\) | 12.1973 | 0.938254 | ||||||||
\(170\) | −8.20873 | − | 1.42814i | −0.629581 | − | 0.109533i | ||||
\(171\) | 3.41300 | + | 5.91150i | 0.260999 | + | 0.452063i | ||||
\(172\) | 2.05734 | − | 5.73368i | 0.156870 | − | 0.437189i | ||||
\(173\) | 14.2599 | + | 8.23299i | 1.08416 | + | 0.625942i | 0.932017 | − | 0.362416i | \(-0.118048\pi\) |
0.152147 | + | 0.988358i | \(0.451381\pi\) | |||||||
\(174\) | −3.84597 | − | 10.4922i | −0.291562 | − | 0.795414i | ||||
\(175\) | −2.10448 | + | 1.60348i | −0.159084 | + | 0.121212i | ||||
\(176\) | 19.1763 | + | 3.20130i | 1.44547 | + | 0.241307i | ||||
\(177\) | −4.61473 | + | 7.99294i | −0.346864 | + | 0.600786i | ||||
\(178\) | −1.91525 | − | 1.59966i | −0.143554 | − | 0.119899i | ||||
\(179\) | −9.26501 | + | 5.34916i | −0.692499 | + | 0.399815i | −0.804548 | − | 0.593888i | \(-0.797592\pi\) |
0.112048 | + | 0.993703i | \(0.464259\pi\) | |||||||
\(180\) | 4.60630 | − | 0.833887i | 0.343334 | − | 0.0621542i | ||||
\(181\) | − | 10.8661i | − | 0.807672i | −0.914831 | − | 0.403836i | \(-0.867677\pi\) | ||
0.914831 | − | 0.403836i | \(-0.132323\pi\) | |||||||
\(182\) | 3.34892 | + | 0.149987i | 0.248238 | + | 0.0111178i | ||||
\(183\) | 4.99875i | 0.369519i | ||||||||
\(184\) | 2.23441 | + | 3.80971i | 0.164723 | + | 0.280856i | ||||
\(185\) | 1.57735 | − | 0.910682i | 0.115969 | − | 0.0669547i | ||||
\(186\) | −3.25030 | + | 3.89154i | −0.238324 | + | 0.285341i | ||||
\(187\) | 14.3179 | − | 24.7994i | 1.04703 | − | 1.81351i | ||||
\(188\) | −7.96579 | + | 6.74622i | −0.580965 | + | 0.492018i | ||||
\(189\) | −1.45894 | − | 11.3809i | −0.106122 | − | 0.827840i | ||||
\(190\) | 3.87241 | − | 1.41945i | 0.280934 | − | 0.102977i | ||||
\(191\) | 0.439231 | + | 0.253590i | 0.0317816 | + | 0.0183491i | 0.515807 | − | 0.856705i | \(-0.327492\pi\) |
−0.484025 | + | 0.875054i | \(0.660826\pi\) | |||||||
\(192\) | 3.17092 | − | 5.66989i | 0.228841 | − | 0.409189i | ||||
\(193\) | 10.4098 | + | 18.0302i | 0.749311 | + | 1.29784i | 0.948153 | + | 0.317813i | \(0.102949\pi\) |
−0.198842 | + | 0.980031i | \(0.563718\pi\) | |||||||
\(194\) | −1.89955 | + | 10.9184i | −0.136380 | + | 0.783892i | ||||
\(195\) | 0.727535 | 0.0520999 | ||||||||
\(196\) | −13.9439 | − | 1.25152i | −0.995996 | − | 0.0893941i | ||||
\(197\) | −8.86095 | −0.631317 | −0.315658 | − | 0.948873i | \(-0.602225\pi\) | ||||
−0.315658 | + | 0.948873i | \(0.602225\pi\) | |||||||
\(198\) | −2.75761 | + | 15.8504i | −0.195975 | + | 1.12644i | ||||
\(199\) | −11.6081 | − | 20.1059i | −0.822878 | − | 1.42527i | −0.903530 | − | 0.428524i | \(-0.859034\pi\) |
0.0806522 | − | 0.996742i | \(-0.474300\pi\) | |||||||
\(200\) | −0.0193421 | − | 2.82836i | −0.00136769 | − | 0.199995i | ||||
\(201\) | −5.48467 | − | 3.16658i | −0.386859 | − | 0.223353i | ||||
\(202\) | 9.67365 | − | 3.54591i | 0.680635 | − | 0.249490i | ||||
\(203\) | −3.27356 | − | 25.5364i | −0.229759 | − | 1.79231i | ||||
\(204\) | −6.18388 | − | 7.30179i | −0.432958 | − | 0.511228i | ||||
\(205\) | −5.24601 | + | 9.08636i | −0.366397 | + | 0.634619i | ||||
\(206\) | 8.34993 | − | 9.99725i | 0.581767 | − | 0.696541i | ||||
\(207\) | −3.16519 | + | 1.82743i | −0.219996 | + | 0.127015i | ||||
\(208\) | −2.27845 | + | 2.76619i | −0.157982 | + | 0.191801i | ||||
\(209\) | 14.1748i | 0.980490i | ||||||||
\(210\) | −3.03534 | − | 0.135943i | −0.209458 | − | 0.00938095i | ||||
\(211\) | 6.21092i | 0.427578i | 0.976880 | + | 0.213789i | \(0.0685804\pi\) | ||||
−0.976880 | + | 0.213789i | \(0.931420\pi\) | |||||||
\(212\) | −0.0640306 | − | 0.353699i | −0.00439764 | − | 0.0242921i | ||||
\(213\) | −5.89378 | + | 3.40277i | −0.403835 | + | 0.233154i | ||||
\(214\) | 16.2692 | + | 13.5884i | 1.11214 | + | 0.928887i | ||||
\(215\) | 1.52290 | − | 2.63774i | 0.103861 | − | 0.179893i | ||||
\(216\) | 10.6646 | + | 6.06035i | 0.725634 | + | 0.412354i | ||||
\(217\) | −9.29161 | + | 7.07960i | −0.630756 | + | 0.480594i | ||||
\(218\) | 0.774475 | + | 2.11285i | 0.0524541 | + | 0.143101i | ||||
\(219\) | 6.17519 | + | 3.56525i | 0.417281 | + | 0.240917i | ||||
\(220\) | 9.14968 | + | 3.28305i | 0.616871 | + | 0.221343i | ||||
\(221\) | 2.63926 | + | 4.57133i | 0.177536 | + | 0.307501i | ||||
\(222\) | 2.06070 | + | 0.358516i | 0.138305 | + | 0.0240620i | ||||
\(223\) | −12.8221 | −0.858632 | −0.429316 | − | 0.903154i | \(-0.641245\pi\) | ||||
−0.429316 | + | 0.903154i | \(0.641245\pi\) | |||||||
\(224\) | 10.0228 | − | 11.1150i | 0.669675 | − | 0.742655i | ||||
\(225\) | 2.34059 | 0.156039 | ||||||||
\(226\) | −4.98609 | − | 0.867468i | −0.331670 | − | 0.0577031i | ||||
\(227\) | −1.80332 | − | 3.12345i | −0.119691 | − | 0.207310i | 0.799954 | − | 0.600061i | \(-0.204857\pi\) |
−0.919645 | + | 0.392750i | \(0.871524\pi\) | |||||||
\(228\) | 4.45812 | + | 1.59964i | 0.295246 | + | 0.105939i | ||||
\(229\) | 15.4049 | + | 8.89400i | 1.01798 | + | 0.587732i | 0.913519 | − | 0.406796i | \(-0.133354\pi\) |
0.104463 | + | 0.994529i | \(0.466687\pi\) | |||||||
\(230\) | 0.760014 | + | 2.07340i | 0.0501139 | + | 0.136716i | ||||
\(231\) | 4.02896 | − | 9.63390i | 0.265086 | − | 0.633864i | ||||
\(232\) | 23.9291 | + | 13.5982i | 1.57103 | + | 0.892763i | ||||
\(233\) | −0.137037 | + | 0.237354i | −0.00897756 | + | 0.0155496i | −0.870479 | − | 0.492205i | \(-0.836191\pi\) |
0.861502 | + | 0.507755i | \(0.169524\pi\) | |||||||
\(234\) | −2.27614 | − | 1.90108i | −0.148796 | − | 0.124278i | ||||
\(235\) | −4.52006 | + | 2.60966i | −0.294856 | + | 0.170235i | ||||
\(236\) | −4.04930 | − | 22.3679i | −0.263587 | − | 1.45603i | ||||
\(237\) | − | 2.95070i | − | 0.191668i | ||||||
\(238\) | −10.1570 | − | 19.5651i | −0.658383 | − | 1.26822i | ||||
\(239\) | 23.0254i | 1.48939i | 0.667406 | + | 0.744694i | \(0.267405\pi\) | ||||
−0.667406 | + | 0.744694i | \(0.732595\pi\) | |||||||
\(240\) | 2.06511 | − | 2.50717i | 0.133302 | − | 0.161837i | ||||
\(241\) | 3.25210 | − | 1.87760i | 0.209486 | − | 0.120947i | −0.391587 | − | 0.920141i | \(-0.628074\pi\) |
0.601072 | + | 0.799195i | \(0.294740\pi\) | |||||||
\(242\) | −11.4443 | + | 13.7021i | −0.735666 | + | 0.880803i | ||||
\(243\) | −7.92629 | + | 13.7287i | −0.508472 | + | 0.880699i | ||||
\(244\) | −7.95664 | − | 9.39503i | −0.509372 | − | 0.601455i | ||||
\(245\) | −6.74899 | − | 1.85771i | −0.431177 | − | 0.118685i | ||||
\(246\) | −11.3130 | + | 4.14681i | −0.721289 | + | 0.264391i | ||||
\(247\) | −2.26281 | − | 1.30643i | −0.143979 | − | 0.0831264i | ||||
\(248\) | −0.0853983 | − | 12.4876i | −0.00542280 | − | 0.792965i | ||||
\(249\) | 0.827453 | + | 1.43319i | 0.0524377 | + | 0.0908248i | ||||
\(250\) | 0.242400 | − | 1.39328i | 0.0153307 | − | 0.0881191i | ||||
\(251\) | 0.268218 | 0.0169298 | 0.00846489 | − | 0.999964i | \(-0.497306\pi\) | ||||
0.00846489 | + | 0.999964i | \(0.497306\pi\) | |||||||
\(252\) | 9.14101 | + | 8.35678i | 0.575830 | + | 0.526428i | ||||
\(253\) | −7.58961 | −0.477155 | ||||||||
\(254\) | 1.86019 | − | 10.6921i | 0.116719 | − | 0.670884i | ||||
\(255\) | −2.39213 | − | 4.14329i | −0.149801 | − | 0.259463i | ||||
\(256\) | 3.06524 | + | 15.7036i | 0.191577 | + | 0.981478i | ||||
\(257\) | −26.9207 | − | 15.5426i | −1.67926 | − | 0.969524i | −0.962131 | − | 0.272588i | \(-0.912120\pi\) |
−0.717134 | − | 0.696936i | \(-0.754546\pi\) | |||||||
\(258\) | 3.28413 | − | 1.20381i | 0.204461 | − | 0.0749459i | ||||
\(259\) | 4.44576 | + | 1.85924i | 0.276246 | + | 0.115528i | ||||
\(260\) | −1.36738 | + | 1.15804i | −0.0848016 | + | 0.0718183i | ||||
\(261\) | −11.3879 | + | 19.7245i | −0.704896 | + | 1.22092i | ||||
\(262\) | 18.0480 | − | 21.6086i | 1.11501 | − | 1.33499i | ||||
\(263\) | 24.1154 | − | 13.9230i | 1.48702 | − | 0.858532i | 0.487130 | − | 0.873329i | \(-0.338044\pi\) |
0.999891 | + | 0.0147973i | \(0.00471030\pi\) | |||||||
\(264\) | 5.64770 | + | 9.62942i | 0.347592 | + | 0.592650i | ||||
\(265\) | − | 0.179724i | − | 0.0110404i | ||||||
\(266\) | 9.19652 | + | 5.87337i | 0.563875 | + | 0.360119i | ||||
\(267\) | − | 1.43287i | − | 0.0876900i | ||||||
\(268\) | 15.3486 | − | 2.77858i | 0.937566 | − | 0.169729i | ||||
\(269\) | −1.25127 | + | 0.722424i | −0.0762916 | + | 0.0440470i | −0.537661 | − | 0.843161i | \(-0.680692\pi\) |
0.461369 | + | 0.887208i | \(0.347358\pi\) | |||||||
\(270\) | 4.70723 | + | 3.93158i | 0.286473 | + | 0.239269i | ||||
\(271\) | 6.99708 | − | 12.1193i | 0.425042 | − | 0.736195i | −0.571382 | − | 0.820684i | \(-0.693593\pi\) |
0.996424 | + | 0.0844893i | \(0.0269259\pi\) | |||||||
\(272\) | 23.2449 | + | 3.88051i | 1.40943 | + | 0.235290i | ||||
\(273\) | 1.16659 | + | 1.53109i | 0.0706051 | + | 0.0926656i | ||||
\(274\) | −4.30072 | − | 11.7329i | −0.259816 | − | 0.708808i | ||||
\(275\) | 4.20925 | + | 2.43021i | 0.253828 | + | 0.146547i | ||||
\(276\) | −0.856497 | + | 2.38701i | −0.0515551 | + | 0.143681i | ||||
\(277\) | −9.25674 | − | 16.0332i | −0.556184 | − | 0.963339i | −0.997810 | − | 0.0661397i | \(-0.978932\pi\) |
0.441627 | − | 0.897199i | \(-0.354402\pi\) | |||||||
\(278\) | −11.0249 | − | 1.91808i | −0.661227 | − | 0.115039i | ||||
\(279\) | 10.3340 | 0.618683 | ||||||||
\(280\) | 5.92123 | − | 4.57592i | 0.353861 | − | 0.273464i | ||||
\(281\) | −9.00853 | −0.537404 | −0.268702 | − | 0.963223i | \(-0.586595\pi\) | ||||
−0.268702 | + | 0.963223i | \(0.586595\pi\) | |||||||
\(282\) | −5.90517 | − | 1.02737i | −0.351648 | − | 0.0611788i | ||||
\(283\) | 13.6475 | + | 23.6382i | 0.811261 | + | 1.40515i | 0.911982 | + | 0.410231i | \(0.134552\pi\) |
−0.100720 | + | 0.994915i | \(0.532115\pi\) | |||||||
\(284\) | 5.66093 | − | 15.7767i | 0.335914 | − | 0.936174i | ||||
\(285\) | 2.05093 | + | 1.18410i | 0.121487 | + | 0.0701403i | ||||
\(286\) | −2.11947 | − | 5.78215i | −0.125327 | − | 0.341906i | ||||
\(287\) | −27.5340 | + | 3.52963i | −1.62528 | + | 0.208348i | ||||
\(288\) | −13.0122 | + | 2.44763i | −0.766749 | + | 0.144228i | ||||
\(289\) | 8.85572 | − | 15.3386i | 0.520925 | − | 0.902268i | ||||
\(290\) | 10.5620 | + | 8.82166i | 0.620225 | + | 0.518026i | ||||
\(291\) | −5.51095 | + | 3.18175i | −0.323058 | + | 0.186517i | ||||
\(292\) | −17.2810 | + | 3.12841i | −1.01129 | + | 0.183076i | ||||
\(293\) | − | 10.6330i | − | 0.621188i | −0.950543 | − | 0.310594i | \(-0.899472\pi\) | ||
0.950543 | − | 0.310594i | \(-0.100528\pi\) | |||||||
\(294\) | −4.58101 | − | 6.60581i | −0.267170 | − | 0.385258i | ||||
\(295\) | − | 11.3657i | − | 0.661739i | ||||||
\(296\) | −4.44370 | + | 2.60625i | −0.258285 | + | 0.151485i | ||||
\(297\) | −18.2546 | + | 10.5393i | −1.05924 | + | 0.611552i | ||||
\(298\) | −1.56202 | + | 1.87018i | −0.0904854 | + | 0.108337i | ||||
\(299\) | 0.699505 | − | 1.21158i | 0.0404534 | − | 0.0700673i | ||||
\(300\) | 1.23935 | − | 1.04960i | 0.0715538 | − | 0.0605988i | ||||
\(301\) | 7.99304 | − | 1.02464i | 0.460711 | − | 0.0590594i | ||||
\(302\) | −1.08102 | + | 0.396251i | −0.0622056 | + | 0.0228017i | ||||
\(303\) | 5.12342 | + | 2.95801i | 0.294333 | + | 0.169933i | ||||
\(304\) | −10.9251 | + | 4.08961i | −0.626598 | + | 0.234555i | ||||
\(305\) | −3.07789 | − | 5.33107i | −0.176240 | − | 0.305256i | ||||
\(306\) | −3.34268 | + | 19.2133i | −0.191088 | + | 1.09835i | ||||
\(307\) | −17.9812 | −1.02624 | −0.513120 | − | 0.858317i | \(-0.671510\pi\) | ||||
−0.513120 | + | 0.858317i | \(0.671510\pi\) | |||||||
\(308\) | 7.76219 | + | 24.5197i | 0.442292 | + | 1.39714i | ||||
\(309\) | 7.47930 | 0.425483 | ||||||||
\(310\) | 1.07023 | − | 6.15156i | 0.0607851 | − | 0.349385i | ||||
\(311\) | −14.1579 | − | 24.5222i | −0.802821 | − | 1.39053i | −0.917752 | − | 0.397153i | \(-0.869998\pi\) |
0.114931 | − | 0.993373i | \(-0.463335\pi\) | |||||||
\(312\) | −2.05773 | + | 0.0140721i | −0.116496 | + | 0.000796674i | ||||
\(313\) | −4.84537 | − | 2.79748i | −0.273877 | − | 0.158123i | 0.356771 | − | 0.934192i | \(-0.383878\pi\) |
−0.630648 | + | 0.776069i | \(0.717211\pi\) | |||||||
\(314\) | −17.7334 | + | 6.50025i | −1.00075 | + | 0.366830i | ||||
\(315\) | 3.75308 | + | 4.92573i | 0.211462 | + | 0.277534i | ||||
\(316\) | 4.69670 | + | 5.54576i | 0.264210 | + | 0.311974i | ||||
\(317\) | −15.6736 | + | 27.1475i | −0.880318 | + | 1.52476i | −0.0293312 | + | 0.999570i | \(0.509338\pi\) |
−0.850987 | + | 0.525186i | \(0.823996\pi\) | |||||||
\(318\) | 0.132307 | − | 0.158410i | 0.00741943 | − | 0.00888318i | ||||
\(319\) | −40.9596 | + | 23.6480i | −2.29330 | + | 1.32404i | ||||
\(320\) | 0.109413 | + | 7.99925i | 0.00611637 | + | 0.447172i | ||||
\(321\) | 12.1716i | 0.679353i | ||||||||
\(322\) | −3.14478 | + | 4.92410i | −0.175252 | + | 0.274409i | ||||
\(323\) | 17.1822i | 0.956042i | ||||||||
\(324\) | −1.24699 | − | 6.88827i | −0.0692775 | − | 0.382682i | ||||
\(325\) | −0.775901 | + | 0.447967i | −0.0430392 | + | 0.0248487i | ||||
\(326\) | 9.74394 | + | 8.13835i | 0.539667 | + | 0.450742i | ||||
\(327\) | −0.646069 | + | 1.11902i | −0.0357277 | + | 0.0618822i | ||||
\(328\) | 14.6619 | − | 25.8010i | 0.809566 | − | 1.42462i | ||||
\(329\) | −12.7398 | − | 5.32787i | −0.702369 | − | 0.293735i | ||||
\(330\) | 1.92101 | + | 5.24073i | 0.105748 | + | 0.288493i | ||||
\(331\) | 18.6312 | + | 10.7567i | 1.02406 | + | 0.591244i | 0.915279 | − | 0.402821i | \(-0.131970\pi\) |
0.108786 | + | 0.994065i | \(0.465304\pi\) | |||||||
\(332\) | −3.83642 | − | 1.37657i | −0.210551 | − | 0.0755490i | ||||
\(333\) | −2.13153 | − | 3.69192i | −0.116807 | − | 0.202316i | ||||
\(334\) | −23.7310 | − | 4.12866i | −1.29850 | − | 0.225910i | ||||
\(335\) | 7.79905 | 0.426108 | ||||||||
\(336\) | 8.58767 | + | 0.325786i | 0.468496 | + | 0.0177731i | ||||
\(337\) | −0.0584151 | −0.00318207 | −0.00159104 | − | 0.999999i | \(-0.500506\pi\) | ||||
−0.00159104 | + | 0.999999i | \(0.500506\pi\) | |||||||
\(338\) | −16.9943 | − | 2.95663i | −0.924369 | − | 0.160819i | ||||
\(339\) | −1.45301 | − | 2.51669i | −0.0789167 | − | 0.136688i | ||||
\(340\) | 11.0909 | + | 3.97960i | 0.601490 | + | 0.215824i | ||||
\(341\) | 18.5845 | + | 10.7298i | 1.00641 | + | 0.581049i | ||||
\(342\) | −3.32234 | − | 9.06371i | −0.179651 | − | 0.490109i | ||||
\(343\) | −6.91235 | − | 17.1820i | −0.373232 | − | 0.927738i | ||||
\(344\) | −4.25630 | + | 7.48995i | −0.229484 | + | 0.403831i | ||||
\(345\) | −0.634006 | + | 1.09813i | −0.0341337 | + | 0.0591213i | ||||
\(346\) | −17.8725 | − | 14.9275i | −0.960831 | − | 0.802508i | ||||
\(347\) | 7.63282 | − | 4.40681i | 0.409751 | − | 0.236570i | −0.280932 | − | 0.959728i | \(-0.590643\pi\) |
0.690683 | + | 0.723158i | \(0.257310\pi\) | |||||||
\(348\) | 2.81521 | + | 15.5509i | 0.150911 | + | 0.833617i | ||||
\(349\) | 1.78555i | 0.0955784i | 0.998857 | + | 0.0477892i | \(0.0152176\pi\) | ||||
−0.998857 | + | 0.0477892i | \(0.984782\pi\) | |||||||
\(350\) | 3.32083 | − | 1.72398i | 0.177506 | − | 0.0921503i | ||||
\(351\) | − | 3.88547i | − | 0.207391i | ||||||
\(352\) | −25.9421 | − | 9.10867i | −1.38272 | − | 0.485494i | ||||
\(353\) | 23.8096 | − | 13.7465i | 1.26726 | − | 0.731651i | 0.292789 | − | 0.956177i | \(-0.405417\pi\) |
0.974468 | + | 0.224526i | \(0.0720835\pi\) | |||||||
\(354\) | 8.36712 | − | 10.0178i | 0.444707 | − | 0.532442i | ||||
\(355\) | 4.19039 | − | 7.25797i | 0.222403 | − | 0.385213i | ||||
\(356\) | 2.28073 | + | 2.69304i | 0.120878 | + | 0.142731i | ||||
\(357\) | 4.88376 | − | 11.6779i | 0.258476 | − | 0.618059i | ||||
\(358\) | 14.2054 | − | 5.20706i | 0.750780 | − | 0.275201i | ||||
\(359\) | 16.1118 | + | 9.30213i | 0.850346 | + | 0.490948i | 0.860768 | − | 0.508998i | \(-0.169984\pi\) |
−0.0104213 | + | 0.999946i | \(0.503317\pi\) | |||||||
\(360\) | −6.62003 | + | 0.0452719i | −0.348906 | + | 0.00238604i | ||||
\(361\) | 5.24741 | + | 9.08878i | 0.276179 | + | 0.478357i | ||||
\(362\) | −2.63395 | + | 15.1396i | −0.138437 | + | 0.795720i | ||||
\(363\) | −10.2510 | −0.538039 | ||||||||
\(364\) | −4.62964 | − | 1.02075i | −0.242659 | − | 0.0535020i | ||||
\(365\) | −8.78095 | −0.459616 | ||||||||
\(366\) | 1.21170 | − | 6.96469i | 0.0633365 | − | 0.364050i | ||||
\(367\) | 10.9922 | + | 19.0390i | 0.573788 | + | 0.993829i | 0.996172 | + | 0.0874124i | \(0.0278598\pi\) |
−0.422385 | + | 0.906417i | \(0.638807\pi\) | |||||||
\(368\) | −2.18970 | − | 5.84964i | −0.114146 | − | 0.304933i | ||||
\(369\) | 21.2674 | + | 12.2787i | 1.10714 | + | 0.639206i | ||||
\(370\) | −2.41844 | + | 0.886490i | −0.125729 | + | 0.0460864i | ||||
\(371\) | 0.378226 | − | 0.288183i | 0.0196365 | − | 0.0149617i | ||||
\(372\) | 5.47190 | − | 4.63415i | 0.283705 | − | 0.240269i | ||||
\(373\) | −0.282808 | + | 0.489838i | −0.0146433 | + | 0.0253629i | −0.873254 | − | 0.487265i | \(-0.837995\pi\) |
0.858611 | + | 0.512628i | \(0.171328\pi\) | |||||||
\(374\) | −25.9604 | + | 31.0820i | −1.34238 | + | 1.60721i | ||||
\(375\) | 0.703249 | − | 0.406021i | 0.0363156 | − | 0.0209668i | ||||
\(376\) | 12.7339 | − | 7.46849i | 0.656701 | − | 0.385158i | ||||
\(377\) | − | 8.71818i | − | 0.449009i | ||||||
\(378\) | −0.726015 | + | 16.2105i | −0.0373422 | + | 0.833778i | ||||
\(379\) | − | 28.3294i | − | 1.45518i | −0.686010 | − | 0.727592i | \(-0.740639\pi\) | ||
0.686010 | − | 0.727592i | \(-0.259361\pi\) | |||||||
\(380\) | −5.73944 | + | 1.03902i | −0.294427 | + | 0.0533006i | ||||
\(381\) | 5.39676 | − | 3.11582i | 0.276484 | − | 0.159628i | ||||
\(382\) | −0.550504 | − | 0.459793i | −0.0281662 | − | 0.0235251i | ||||
\(383\) | 1.54300 | − | 2.67256i | 0.0788438 | − | 0.136561i | −0.823908 | − | 0.566724i | \(-0.808210\pi\) |
0.902751 | + | 0.430163i | \(0.141544\pi\) | |||||||
\(384\) | −5.79237 | + | 7.13114i | −0.295591 | + | 0.363909i | ||||
\(385\) | 1.63510 | + | 12.7551i | 0.0833325 | + | 0.650060i | ||||
\(386\) | −10.1332 | − | 27.6446i | −0.515768 | − | 1.40707i | ||||
\(387\) | −6.17387 | − | 3.56449i | −0.313836 | − | 0.181193i | ||||
\(388\) | 5.29322 | − | 14.7519i | 0.268723 | − | 0.748916i | ||||
\(389\) | −8.17685 | − | 14.1627i | −0.414583 | − | 0.718078i | 0.580802 | − | 0.814045i | \(-0.302739\pi\) |
−0.995385 | + | 0.0959669i | \(0.969406\pi\) | |||||||
\(390\) | −1.01366 | − | 0.176355i | −0.0513289 | − | 0.00893007i | ||||
\(391\) | −9.19986 | −0.465257 | ||||||||
\(392\) | 19.1245 | + | 5.12374i | 0.965934 | + | 0.258788i | ||||
\(393\) | 16.1662 | 0.815477 | ||||||||
\(394\) | 12.3458 | + | 2.14790i | 0.621974 | + | 0.108210i | ||||
\(395\) | 1.81684 | + | 3.14686i | 0.0914151 | + | 0.158336i | ||||
\(396\) | 7.68427 | − | 21.4156i | 0.386149 | − | 1.07618i | ||||
\(397\) | −6.77631 | − | 3.91230i | −0.340093 | − | 0.196353i | 0.320220 | − | 0.947343i | \(-0.396243\pi\) |
−0.660313 | + | 0.750990i | \(0.729576\pi\) | |||||||
\(398\) | 11.2998 | + | 30.8270i | 0.566406 | + | 1.54522i | ||||
\(399\) | 0.796692 | + | 6.21484i | 0.0398845 | + | 0.311131i | ||||
\(400\) | −0.658646 | + | 3.94540i | −0.0329323 | + | 0.197270i | ||||
\(401\) | 9.89379 | − | 17.1366i | 0.494072 | − | 0.855758i | −0.505904 | − | 0.862590i | \(-0.668841\pi\) |
0.999977 | + | 0.00683114i | \(0.00217444\pi\) | |||||||
\(402\) | 6.87413 | + | 5.74143i | 0.342850 | + | 0.286356i | ||||
\(403\) | −3.42572 | + | 1.97784i | −0.170647 | + | 0.0985232i | ||||
\(404\) | −14.3377 | + | 2.59557i | −0.713326 | + | 0.129135i | ||||
\(405\) | − | 3.50012i | − | 0.173922i | ||||||
\(406\) | −1.62903 | + | 36.3730i | −0.0808473 | + | 1.80516i | ||||
\(407\) | − | 8.85261i | − | 0.438808i | ||||||
\(408\) | 6.84595 | + | 11.6725i | 0.338925 | + | 0.577872i | ||||
\(409\) | 21.9116 | − | 12.6507i | 1.08346 | − | 0.625536i | 0.151633 | − | 0.988437i | \(-0.451547\pi\) |
0.931828 | + | 0.362900i | \(0.118214\pi\) | |||||||
\(410\) | 9.51172 | − | 11.3882i | 0.469750 | − | 0.562425i | ||||
\(411\) | 3.58767 | − | 6.21403i | 0.176967 | − | 0.306516i | ||||
\(412\) | −14.0572 | + | 11.9050i | −0.692547 | + | 0.586517i | ||||
\(413\) | 23.9190 | − | 18.2247i | 1.17698 | − | 0.896780i | ||||
\(414\) | 4.85299 | − | 1.77888i | 0.238511 | − | 0.0874272i | ||||
\(415\) | −1.76492 | − | 1.01898i | −0.0866366 | − | 0.0500197i | ||||
\(416\) | 3.84506 | − | 3.30179i | 0.188519 | − | 0.161884i | ||||
\(417\) | −3.21278 | − | 5.56470i | −0.157331 | − | 0.272505i | ||||
\(418\) | 3.43597 | − | 19.7495i | 0.168059 | − | 0.965980i | ||||
\(419\) | 16.6804 | 0.814889 | 0.407445 | − | 0.913230i | \(-0.366420\pi\) | ||||
0.407445 | + | 0.913230i | \(0.366420\pi\) | |||||||
\(420\) | 4.19614 | + | 0.925174i | 0.204751 | + | 0.0451439i | ||||
\(421\) | 3.13305 | 0.152695 | 0.0763477 | − | 0.997081i | \(-0.475674\pi\) | ||||
0.0763477 | + | 0.997081i | \(0.475674\pi\) | |||||||
\(422\) | 1.50553 | − | 8.65358i | 0.0732880 | − | 0.421250i | ||||
\(423\) | 6.10814 | + | 10.5796i | 0.296988 | + | 0.514398i | ||||
\(424\) | 0.00347624 | + | 0.508324i | 0.000168821 | + | 0.0246864i | ||||
\(425\) | 5.10231 | + | 2.94582i | 0.247498 | + | 0.142893i | ||||
\(426\) | 9.03654 | − | 3.31238i | 0.437822 | − | 0.160485i | ||||
\(427\) | 6.28381 | − | 15.0256i | 0.304095 | − | 0.727141i | ||||
\(428\) | −19.3739 | − | 22.8762i | −0.936470 | − | 1.10576i | ||||
\(429\) | 1.76807 | − | 3.06238i | 0.0853630 | − | 0.147853i | ||||
\(430\) | −2.76123 | + | 3.30598i | −0.133158 | + | 0.159428i | ||||
\(431\) | 23.5490 | − | 13.5960i | 1.13432 | − | 0.654898i | 0.189300 | − | 0.981919i | \(-0.439378\pi\) |
0.945017 | + | 0.327021i | \(0.106045\pi\) | |||||||
\(432\) | −13.3898 | − | 11.0289i | −0.644216 | − | 0.530628i | ||||
\(433\) | 32.0204i | 1.53880i | 0.638766 | + | 0.769401i | \(0.279445\pi\) | ||||
−0.638766 | + | 0.769401i | \(0.720555\pi\) | |||||||
\(434\) | 14.6620 | − | 7.61160i | 0.703796 | − | 0.365369i | ||||
\(435\) | 7.90185i | 0.378865i | ||||||||
\(436\) | −0.566908 | − | 3.13154i | −0.0271500 | − | 0.149974i | ||||
\(437\) | 3.94382 | − | 2.27697i | 0.188659 | − | 0.108922i | ||||
\(438\) | −7.73959 | − | 6.46428i | −0.369812 | − | 0.308875i | ||||
\(439\) | 10.0502 | − | 17.4074i | 0.479668 | − | 0.830809i | −0.520060 | − | 0.854130i | \(-0.674091\pi\) |
0.999728 | + | 0.0233207i | \(0.00742388\pi\) | |||||||
\(440\) | −11.9523 | − | 6.79211i | −0.569803 | − | 0.323801i | ||||
\(441\) | −4.34814 | + | 15.7966i | −0.207054 | + | 0.752220i | ||||
\(442\) | −2.56915 | − | 7.00892i | −0.122202 | − | 0.333380i | ||||
\(443\) | 12.9010 | + | 7.44839i | 0.612945 | + | 0.353884i | 0.774117 | − | 0.633042i | \(-0.218194\pi\) |
−0.161172 | + | 0.986926i | \(0.551527\pi\) | |||||||
\(444\) | −2.78424 | − | 0.999029i | −0.132134 | − | 0.0474118i | ||||
\(445\) | 0.882262 | + | 1.52812i | 0.0418232 | + | 0.0724399i | ||||
\(446\) | 17.8648 | + | 3.10808i | 0.845925 | + | 0.147172i | ||||
\(447\) | −1.39915 | −0.0661776 | ||||||||
\(448\) | −16.6589 | + | 13.0569i | −0.787057 | + | 0.616880i | ||||
\(449\) | −6.18602 | −0.291936 | −0.145968 | − | 0.989289i | \(-0.546630\pi\) | ||||
−0.145968 | + | 0.989289i | \(0.546630\pi\) | |||||||
\(450\) | −3.26111 | − | 0.567359i | −0.153730 | − | 0.0267456i | ||||
\(451\) | 25.4979 | + | 44.1636i | 1.20065 | + | 2.07958i | ||||
\(452\) | 6.73677 | + | 2.41726i | 0.316871 | + | 0.113698i | ||||
\(453\) | −0.572536 | − | 0.330554i | −0.0269001 | − | 0.0155308i | ||||
\(454\) | 1.75542 | + | 4.78898i | 0.0823858 | + | 0.224758i | ||||
\(455\) | −2.18688 | − | 0.914567i | −0.102523 | − | 0.0428755i | ||||
\(456\) | −5.82367 | − | 3.30941i | −0.272718 | − | 0.154977i | ||||
\(457\) | 11.6751 | − | 20.2219i | 0.546140 | − | 0.945943i | −0.452394 | − | 0.891818i | \(-0.649430\pi\) |
0.998534 | − | 0.0541246i | \(-0.0172368\pi\) | |||||||
\(458\) | −19.3075 | − | 16.1260i | −0.902178 | − | 0.753520i | ||||
\(459\) | −22.1276 | + | 12.7754i | −1.03283 | + | 0.596304i | ||||
\(460\) | −0.556323 | − | 3.07307i | −0.0259387 | − | 0.143283i | ||||
\(461\) | − | 17.4080i | − | 0.810772i | −0.914146 | − | 0.405386i | \(-0.867137\pi\) | ||
0.914146 | − | 0.405386i | \(-0.132863\pi\) | |||||||
\(462\) | −7.94874 | + | 12.4461i | −0.369809 | + | 0.579047i | ||||
\(463\) | − | 0.962509i | − | 0.0447316i | −0.999750 | − | 0.0223658i | \(-0.992880\pi\) | ||
0.999750 | − | 0.0223658i | \(-0.00711985\pi\) | |||||||
\(464\) | −30.0439 | − | 24.7465i | −1.39475 | − | 1.14883i | ||||
\(465\) | 3.10495 | − | 1.79264i | 0.143988 | − | 0.0831318i | ||||
\(466\) | 0.248466 | − | 0.297484i | 0.0115099 | − | 0.0137807i | ||||
\(467\) | 0.145490 | − | 0.251997i | 0.00673249 | − | 0.0116610i | −0.862640 | − | 0.505819i | \(-0.831190\pi\) |
0.869372 | + | 0.494158i | \(0.164524\pi\) | |||||||
\(468\) | 2.71048 | + | 3.20048i | 0.125292 | + | 0.147942i | ||||
\(469\) | 12.5056 | + | 16.4130i | 0.577455 | + | 0.757881i | ||||
\(470\) | 6.93032 | − | 2.54034i | 0.319672 | − | 0.117177i | ||||
\(471\) | −9.39209 | − | 5.42252i | −0.432764 | − | 0.249857i | ||||
\(472\) | 0.219837 | + | 32.1464i | 0.0101188 | + | 1.47966i | ||||
\(473\) | −7.40196 | − | 12.8206i | −0.340342 | − | 0.589490i | ||||
\(474\) | −0.715250 | + | 4.11116i | −0.0328525 | + | 0.188832i | ||||
\(475\) | −2.91636 | −0.133812 | ||||||||
\(476\) | 9.40906 | + | 29.7219i | 0.431263 | + | 1.36230i | ||||
\(477\) | −0.420660 | −0.0192607 | ||||||||
\(478\) | 5.58136 | − | 32.0809i | 0.255285 | − | 1.46735i | ||||
\(479\) | −9.89481 | − | 17.1383i | −0.452106 | − | 0.783070i | 0.546411 | − | 0.837517i | \(-0.315994\pi\) |
−0.998517 | + | 0.0544474i | \(0.982660\pi\) | |||||||
\(480\) | −3.48502 | + | 2.99262i | −0.159069 | + | 0.136594i | ||||
\(481\) | 1.41320 | + | 0.815911i | 0.0644363 | + | 0.0372023i | ||||
\(482\) | −4.98623 | + | 1.82772i | −0.227116 | + | 0.0832504i | ||||
\(483\) | −3.32761 | + | 0.426573i | −0.151412 | + | 0.0194098i | ||||
\(484\) | 19.2665 | − | 16.3168i | 0.875751 | − | 0.741672i | ||||
\(485\) | 3.91821 | − | 6.78653i | 0.177917 | − | 0.308161i | ||||
\(486\) | 14.3714 | − | 17.2067i | 0.651901 | − | 0.780512i | ||||
\(487\) | −19.5908 | + | 11.3108i | −0.887745 | + | 0.512540i | −0.873204 | − | 0.487355i | \(-0.837962\pi\) |
−0.0145405 | + | 0.999894i | \(0.504629\pi\) | |||||||
\(488\) | 8.80851 | + | 15.0186i | 0.398742 | + | 0.679862i | ||||
\(489\) | 7.28979i | 0.329656i | ||||||||
\(490\) | 8.95296 | + | 4.22428i | 0.404453 | + | 0.190833i | ||||
\(491\) | 38.9565i | 1.75808i | 0.476745 | + | 0.879042i | \(0.341816\pi\) | ||||
−0.476745 | + | 0.879042i | \(0.658184\pi\) | |||||||
\(492\) | 16.7674 | − | 3.03542i | 0.755932 | − | 0.136848i | ||||
\(493\) | −49.6498 | + | 28.6653i | −2.23611 | + | 1.29102i | ||||
\(494\) | 2.83606 | + | 2.36874i | 0.127600 | + | 0.106575i | ||||
\(495\) | 5.68813 | − | 9.85213i | 0.255662 | − | 0.442820i | ||||
\(496\) | −2.90802 | + | 17.4195i | −0.130574 | + | 0.782160i | ||||
\(497\) | 21.9935 | − | 2.81939i | 0.986543 | − | 0.126467i | ||||
\(498\) | −0.805472 | − | 2.19742i | −0.0360941 | − | 0.0984686i | ||||
\(499\) | 32.6131 | + | 18.8292i | 1.45996 | + | 0.842909i | 0.999009 | − | 0.0445156i | \(-0.0141744\pi\) |
0.460953 | + | 0.887425i | \(0.347508\pi\) | |||||||
\(500\) | −0.675465 | + | 1.88248i | −0.0302077 | + | 0.0841873i | ||||
\(501\) | −6.91551 | − | 11.9780i | −0.308962 | − | 0.535138i | ||||
\(502\) | −0.373704 | − | 0.0650161i | −0.0166792 | − | 0.00290181i | ||||
\(503\) | −42.9688 | −1.91589 | −0.957943 | − | 0.286959i | \(-0.907356\pi\) | ||||
−0.957943 | + | 0.286959i | \(0.907356\pi\) | |||||||
\(504\) | −10.7103 | − | 13.8592i | −0.477077 | − | 0.617336i | ||||
\(505\) | −7.28536 | −0.324194 | ||||||||
\(506\) | 10.5745 | + | 1.83972i | 0.470093 | + | 0.0817856i | ||||
\(507\) | −4.95236 | − | 8.57774i | −0.219942 | − | 0.380951i | ||||
\(508\) | −5.18355 | + | 14.4463i | −0.229983 | + | 0.640949i | ||||
\(509\) | 4.13736 | + | 2.38870i | 0.183385 | + | 0.105877i | 0.588882 | − | 0.808219i | \(-0.299568\pi\) |
−0.405497 | + | 0.914096i | \(0.632902\pi\) | |||||||
\(510\) | 2.32858 | + | 6.35264i | 0.103111 | + | 0.281299i | ||||
\(511\) | −14.0801 | − | 18.4794i | −0.622866 | − | 0.817480i | ||||
\(512\) | −0.464182 | − | 22.6227i | −0.0205141 | − | 0.999790i | ||||
\(513\) | 6.32382 | − | 10.9532i | 0.279203 | − | 0.483594i | ||||
\(514\) | 33.7406 | + | 28.1809i | 1.48823 | + | 1.24301i | ||||
\(515\) | −7.97652 | + | 4.60525i | −0.351487 | + | 0.202931i | ||||
\(516\) | −4.86753 | + | 0.881176i | −0.214281 | + | 0.0387916i | ||||
\(517\) | 25.3681i | 1.11569i | ||||||||
\(518\) | −5.74353 | − | 3.66811i | −0.252356 | − | 0.161168i | ||||
\(519\) | − | 13.3711i | − | 0.586924i | ||||||
\(520\) | 2.18586 | − | 1.28202i | 0.0958565 | − | 0.0562203i | ||||
\(521\) | −15.8425 | + | 9.14670i | −0.694075 | + | 0.400724i | −0.805137 | − | 0.593089i | \(-0.797908\pi\) |
0.111062 | + | 0.993813i | \(0.464575\pi\) | |||||||
\(522\) | 20.6479 | − | 24.7214i | 0.903733 | − | 1.08203i | ||||
\(523\) | 9.25624 | − | 16.0323i | 0.404747 | − | 0.701043i | −0.589545 | − | 0.807736i | \(-0.700693\pi\) |
0.994292 | + | 0.106693i | \(0.0340262\pi\) | |||||||
\(524\) | −30.3840 | + | 25.7321i | −1.32733 | + | 1.12411i | ||||
\(525\) | 1.98211 | + | 0.828930i | 0.0865063 | + | 0.0361775i | ||||
\(526\) | −36.9746 | + | 13.5532i | −1.61217 | + | 0.590947i | ||||
\(527\) | 22.5275 | + | 13.0062i | 0.981311 | + | 0.566560i | ||||
\(528\) | −5.53468 | − | 14.7855i | −0.240866 | − | 0.643458i | ||||
\(529\) | −10.2808 | − | 17.8069i | −0.446993 | − | 0.774215i | ||||
\(530\) | −0.0435651 | + | 0.250407i | −0.00189235 | + | 0.0108770i | ||||
\(531\) | −26.6025 | −1.15445 | ||||||||
\(532\) | −11.3897 | − | 10.4125i | −0.493805 | − | 0.451440i | ||||
\(533\) | −9.40015 | −0.407166 | ||||||||
\(534\) | −0.347327 | + | 1.99639i | −0.0150303 | + | 0.0863923i | ||||
\(535\) | −7.49445 | − | 12.9808i | −0.324013 | − | 0.561207i | ||||
\(536\) | −22.0585 | + | 0.150850i | −0.952783 | + | 0.00651573i | ||||
\(537\) | 7.52358 | + | 4.34374i | 0.324666 | + | 0.187446i | ||||
\(538\) | 1.91850 | − | 0.703233i | 0.0827123 | − | 0.0303185i | ||||
\(539\) | −24.2211 | + | 23.8936i | −1.04328 | + | 1.02917i | ||||
\(540\) | −5.60549 | − | 6.61885i | −0.241222 | − | 0.284830i | ||||
\(541\) | 1.99811 | − | 3.46083i | 0.0859055 | − | 0.148793i | −0.819871 | − | 0.572548i | \(-0.805955\pi\) |
0.905777 | + | 0.423755i | \(0.139288\pi\) | |||||||
\(542\) | −12.6866 | + | 15.1895i | −0.544938 | + | 0.652446i | ||||
\(543\) | −7.64159 | + | 4.41187i | −0.327932 | + | 0.189332i | ||||
\(544\) | −31.4461 | − | 11.0412i | −1.34824 | − | 0.473388i | ||||
\(545\) | − | 1.59122i | − | 0.0681604i | ||||||
\(546\) | −1.25425 | − | 2.41602i | −0.0536771 | − | 0.103396i | ||||
\(547\) | 13.3961i | 0.572774i | 0.958114 | + | 0.286387i | \(0.0924543\pi\) | ||||
−0.958114 | + | 0.286387i | \(0.907546\pi\) | |||||||
\(548\) | 3.14809 | + | 17.3897i | 0.134480 | + | 0.742851i | ||||
\(549\) | −12.4778 | + | 7.20408i | −0.532541 | + | 0.307463i | ||||
\(550\) | −5.27560 | − | 4.40630i | −0.224953 | − | 0.187885i | ||||
\(551\) | 14.1893 | − | 24.5767i | 0.604486 | − | 1.04700i | ||||
\(552\) | 1.77196 | − | 3.11817i | 0.0754195 | − | 0.132718i | ||||
\(553\) | −3.70925 | + | 8.86943i | −0.157733 | + | 0.377167i | ||||
\(554\) | 9.01084 | + | 24.5826i | 0.382834 | + | 1.04441i | ||||
\(555\) | −1.28087 | − | 0.739512i | −0.0543700 | − | 0.0313905i | ||||
\(556\) | 14.8958 | + | 5.34486i | 0.631723 | + | 0.226672i | ||||
\(557\) | −7.20598 | − | 12.4811i | −0.305327 | − | 0.528842i | 0.672007 | − | 0.740545i | \(-0.265432\pi\) |
−0.977334 | + | 0.211703i | \(0.932099\pi\) | |||||||
\(558\) | −14.3983 | − | 2.50497i | −0.609527 | − | 0.106044i | ||||
\(559\) | 2.72884 | 0.115418 | ||||||||
\(560\) | −9.35916 | + | 4.94026i | −0.395497 | + | 0.208764i | ||||
\(561\) | −23.2535 | −0.981766 | ||||||||
\(562\) | 12.5515 | + | 2.18367i | 0.529451 | + | 0.0921126i | ||||
\(563\) | −3.33957 | − | 5.78430i | −0.140746 | − | 0.243779i | 0.787032 | − | 0.616912i | \(-0.211617\pi\) |
−0.927778 | + | 0.373133i | \(0.878283\pi\) | |||||||
\(564\) | 7.97855 | + | 2.86283i | 0.335957 | + | 0.120547i | ||||
\(565\) | 3.09921 | + | 1.78933i | 0.130385 | + | 0.0752777i | ||||
\(566\) | −13.2850 | − | 36.2429i | −0.558410 | − | 1.52340i | ||||
\(567\) | 7.36594 | − | 5.61236i | 0.309341 | − | 0.235697i | ||||
\(568\) | −11.7116 | + | 20.6092i | −0.491406 | + | 0.864743i | ||||
\(569\) | −10.4511 | + | 18.1019i | −0.438134 | + | 0.758871i | −0.997546 | − | 0.0700192i | \(-0.977694\pi\) |
0.559411 | + | 0.828890i | \(0.311027\pi\) | |||||||
\(570\) | −2.57050 | − | 2.14694i | −0.107666 | − | 0.0899255i | ||||
\(571\) | −4.83991 | + | 2.79432i | −0.202544 | + | 0.116939i | −0.597841 | − | 0.801614i | \(-0.703975\pi\) |
0.395298 | + | 0.918553i | \(0.370641\pi\) | |||||||
\(572\) | 1.55143 | + | 8.56994i | 0.0648685 | + | 0.358327i | ||||
\(573\) | − | 0.411852i | − | 0.0172053i | ||||||
\(574\) | 39.2182 | + | 1.75646i | 1.63694 | + | 0.0733130i | ||||
\(575\) | − | 1.56151i | − | 0.0651195i | ||||||
\(576\) | 18.7230 | − | 0.256091i | 0.780123 | − | 0.0106704i | ||||
\(577\) | −1.57544 | + | 0.909582i | −0.0655865 | + | 0.0378664i | −0.532435 | − | 0.846471i | \(-0.678723\pi\) |
0.466848 | + | 0.884337i | \(0.345389\pi\) | |||||||
\(578\) | −16.0566 | + | 19.2244i | −0.667867 | + | 0.799628i | ||||
\(579\) | 8.45316 | − | 14.6413i | 0.351301 | − | 0.608472i | ||||
\(580\) | −12.5776 | − | 14.8513i | −0.522255 | − | 0.616668i | ||||
\(581\) | −0.685592 | − | 5.34816i | −0.0284431 | − | 0.221879i | ||||
\(582\) | 8.44958 | − | 3.09723i | 0.350246 | − | 0.128384i | ||||
\(583\) | −0.756503 | − | 0.436767i | −0.0313312 | − | 0.0180891i | ||||
\(584\) | 24.8357 | − | 0.169842i | 1.02771 | − | 0.00702812i | ||||
\(585\) | 1.04851 | + | 1.81606i | 0.0433504 | + | 0.0750850i | ||||
\(586\) | −2.57745 | + | 14.8148i | −0.106473 | + | 0.611996i | ||||
\(587\) | 26.1792 | 1.08053 | 0.540265 | − | 0.841495i | \(-0.318324\pi\) | ||||
0.540265 | + | 0.841495i | \(0.318324\pi\) | |||||||
\(588\) | 4.78141 | + | 10.3142i | 0.197182 | + | 0.425351i | ||||
\(589\) | −12.8762 | −0.530554 | ||||||||
\(590\) | −2.75506 | + | 15.8357i | −0.113424 | + | 0.651946i | ||||
\(591\) | 3.59773 | + | 6.23146i | 0.147991 | + | 0.256328i | ||||
\(592\) | 6.82309 | − | 2.55409i | 0.280427 | − | 0.104973i | ||||
\(593\) | −23.9296 | − | 13.8158i | −0.982671 | − | 0.567345i | −0.0795955 | − | 0.996827i | \(-0.525363\pi\) |
−0.903075 | + | 0.429482i | \(0.858696\pi\) | |||||||
\(594\) | 27.9886 | − | 10.2593i | 1.14839 | − | 0.420945i | ||||
\(595\) | 1.98201 | + | 15.4613i | 0.0812547 | + | 0.633851i | ||||
\(596\) | 2.62967 | − | 2.22706i | 0.107716 | − | 0.0912241i | ||||
\(597\) | −9.42628 | + | 16.3268i | −0.385792 | + | 0.668211i | ||||
\(598\) | −1.26830 | + | 1.51851i | −0.0518645 | + | 0.0620966i | ||||
\(599\) | 4.82336 | − | 2.78477i | 0.197077 | − | 0.113783i | −0.398214 | − | 0.917292i | \(-0.630370\pi\) |
0.595291 | + | 0.803510i | \(0.297037\pi\) | |||||||
\(600\) | −1.98119 | + | 1.16198i | −0.0808817 | + | 0.0474375i | ||||
\(601\) | − | 30.5902i | − | 1.24780i | −0.781504 | − | 0.623901i | \(-0.785547\pi\) | ||
0.781504 | − | 0.623901i | \(-0.214453\pi\) | |||||||
\(602\) | −11.3849 | − | 0.509894i | −0.464016 | − | 0.0207817i | ||||
\(603\) | − | 18.2544i | − | 0.743375i | ||||||
\(604\) | 1.60222 | − | 0.290052i | 0.0651933 | − | 0.0118020i | ||||
\(605\) | 10.9325 | − | 6.31188i | 0.444469 | − | 0.256614i | ||||
\(606\) | −6.42136 | − | 5.36327i | −0.260850 | − | 0.217868i | ||||
\(607\) | −10.1110 | + | 17.5127i | −0.410391 | + | 0.710818i | −0.994932 | − | 0.100546i | \(-0.967941\pi\) |
0.584541 | + | 0.811364i | \(0.301275\pi\) | |||||||
\(608\) | 16.2131 | − | 3.04974i | 0.657528 | − | 0.123683i | ||||
\(609\) | −16.6293 | + | 12.6704i | −0.673854 | + | 0.513432i | ||||
\(610\) | 2.99613 | + | 8.17377i | 0.121310 | + | 0.330946i | ||||
\(611\) | −4.04968 | − | 2.33808i | −0.163832 | − | 0.0945887i | ||||
\(612\) | 9.31460 | − | 25.9593i | 0.376520 | − | 1.04934i | ||||
\(613\) | 11.2510 | + | 19.4874i | 0.454425 | + | 0.787087i | 0.998655 | − | 0.0518488i | \(-0.0165114\pi\) |
−0.544230 | + | 0.838936i | \(0.683178\pi\) | |||||||
\(614\) | 25.0529 | + | 4.35864i | 1.01105 | + | 0.175900i | ||||
\(615\) | 8.51996 | 0.343558 | ||||||||
\(616\) | −4.87137 | − | 36.0444i | −0.196273 | − | 1.45227i | ||||
\(617\) | 22.5772 | 0.908922 | 0.454461 | − | 0.890767i | \(-0.349832\pi\) | ||||
0.454461 | + | 0.890767i | \(0.349832\pi\) | |||||||
\(618\) | −10.4208 | − | 1.81298i | −0.419186 | − | 0.0729289i | ||||
\(619\) | −6.15713 | − | 10.6645i | −0.247476 | − | 0.428641i | 0.715349 | − | 0.698768i | \(-0.246268\pi\) |
−0.962825 | + | 0.270126i | \(0.912935\pi\) | |||||||
\(620\) | −2.98228 | + | 8.31145i | −0.119771 | + | 0.333796i | ||||
\(621\) | 5.86466 | + | 3.38596i | 0.235341 | + | 0.135874i | ||||
\(622\) | 13.7818 | + | 37.5983i | 0.552600 | + | 1.50755i | ||||
\(623\) | −1.80122 | + | 4.30702i | −0.0721644 | + | 0.172557i | ||||
\(624\) | 2.87042 | + | 0.479188i | 0.114909 | + | 0.0191829i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 6.07287 | + | 5.07220i | 0.242721 | + | 0.202726i | ||||
\(627\) | 9.96839 | − | 5.75526i | 0.398099 | − | 0.229843i | ||||
\(628\) | 26.2834 | − | 4.75812i | 1.04882 | − | 0.189869i | ||||
\(629\) | − | 10.7308i | − | 0.427866i | ||||||
\(630\) | −4.03512 | − | 7.77269i | −0.160763 | − | 0.309672i | ||||
\(631\) | − | 22.9961i | − | 0.915459i | −0.889091 | − | 0.457730i | \(-0.848663\pi\) | ||
0.889091 | − | 0.457730i | \(-0.151337\pi\) | |||||||
\(632\) | −5.19954 | − | 8.86531i | −0.206827 | − | 0.352643i | ||||
\(633\) | 4.36782 | − | 2.52176i | 0.173605 | − | 0.100231i | ||||
\(634\) | 28.4184 | − | 34.0249i | 1.12864 | − | 1.35130i | ||||
\(635\) | −3.83702 | + | 6.64592i | −0.152268 | + | 0.263735i | ||||
\(636\) | −0.222740 | + | 0.188639i | −0.00883223 | + | 0.00748000i | ||||
\(637\) | −1.58192 | − | 6.06874i | −0.0626781 | − | 0.240452i | ||||
\(638\) | 62.8006 | − | 23.0198i | 2.48630 | − | 0.911363i | ||||
\(639\) | −16.9879 | − | 9.80798i | −0.672032 | − | 0.387998i | ||||
\(640\) | 1.78658 | − | 11.1718i | 0.0706207 | − | 0.441602i | ||||
\(641\) | 17.7377 | + | 30.7226i | 0.700598 | + | 1.21347i | 0.968257 | + | 0.249957i | \(0.0804165\pi\) |
−0.267659 | + | 0.963514i | \(0.586250\pi\) | |||||||
\(642\) | 2.95040 | − | 16.9585i | 0.116443 | − | 0.669299i | ||||
\(643\) | 8.46366 | 0.333774 | 0.166887 | − | 0.985976i | \(-0.446628\pi\) | ||||
0.166887 | + | 0.985976i | \(0.446628\pi\) | |||||||
\(644\) | 5.57518 | − | 6.09838i | 0.219693 | − | 0.240310i | ||||
\(645\) | −2.47332 | −0.0973869 | ||||||||
\(646\) | 4.16496 | − | 23.9397i | 0.163868 | − | 0.941893i | ||||
\(647\) | 2.47704 | + | 4.29036i | 0.0973826 | + | 0.168672i | 0.910600 | − | 0.413288i | \(-0.135620\pi\) |
−0.813218 | + | 0.581959i | \(0.802286\pi\) | |||||||
\(648\) | 0.0676997 | + | 9.89959i | 0.00265949 | + | 0.388893i | ||||
\(649\) | −47.8413 | − | 27.6212i | −1.87793 | − | 1.08423i | ||||
\(650\) | 1.18964 | − | 0.436066i | 0.0466615 | − | 0.0171039i | ||||
\(651\) | 8.75130 | + | 3.65985i | 0.342991 | + | 0.143441i | ||||
\(652\) | −11.6033 | − | 13.7010i | −0.454422 | − | 0.536572i | ||||
\(653\) | 0.945688 | − | 1.63798i | 0.0370076 | − | 0.0640991i | −0.846928 | − | 0.531707i | \(-0.821551\pi\) |
0.883936 | + | 0.467608i | \(0.154884\pi\) | |||||||
\(654\) | 1.17141 | − | 1.40251i | 0.0458057 | − | 0.0548425i | ||||
\(655\) | −17.2409 | + | 9.95404i | −0.673658 | + | 0.388937i | ||||
\(656\) | −26.6823 | + | 32.3940i | −1.04177 | + | 1.26478i | ||||
\(657\) | 20.5526i | 0.801833i | ||||||||
\(658\) | 16.4587 | + | 10.5114i | 0.641628 | + | 0.409776i | ||||
\(659\) | − | 4.20598i | − | 0.163842i | −0.996639 | − | 0.0819209i | \(-0.973895\pi\) | ||
0.996639 | − | 0.0819209i | \(-0.0261055\pi\) | |||||||
\(660\) | −1.40616 | − | 7.76749i | −0.0547347 | − | 0.302349i | ||||
\(661\) | 9.78997 | − | 5.65224i | 0.380786 | − | 0.219847i | −0.297374 | − | 0.954761i | \(-0.596111\pi\) |
0.678160 | + | 0.734914i | \(0.262778\pi\) | |||||||
\(662\) | −23.3512 | − | 19.5034i | −0.907569 | − | 0.758022i | ||||
\(663\) | 2.14319 | − | 3.71211i | 0.0832346 | − | 0.144166i | ||||
\(664\) | 5.01155 | + | 2.84790i | 0.194486 | + | 0.110520i | ||||
\(665\) | −4.67633 | − | 6.13744i | −0.181340 | − | 0.238000i | ||||
\(666\) | 2.07491 | + | 5.66058i | 0.0804011 | + | 0.219343i | ||||
\(667\) | 13.1591 | + | 7.59740i | 0.509522 | + | 0.294173i | ||||
\(668\) | 32.0632 | + | 11.5048i | 1.24056 | + | 0.445134i | ||||
\(669\) | 5.20604 | + | 9.01713i | 0.201277 | + | 0.348622i | ||||
\(670\) | −10.8663 | − | 1.89049i | −0.419802 | − | 0.0730361i | ||||
\(671\) | −29.9197 | −1.15504 | ||||||||
\(672\) | −11.8861 | − | 2.53556i | −0.458516 | − | 0.0978115i | ||||
\(673\) | −36.8435 | −1.42021 | −0.710106 | − | 0.704095i | \(-0.751353\pi\) | ||||
−0.710106 | + | 0.704095i | \(0.751353\pi\) | |||||||
\(674\) | 0.0813888 | + | 0.0141598i | 0.00313498 | + | 0.000545416i | ||||
\(675\) | −2.16839 | − | 3.75576i | −0.0834614 | − | 0.144559i | ||||
\(676\) | 22.9612 | + | 8.23885i | 0.883124 | + | 0.316879i | ||||
\(677\) | 24.0708 | + | 13.8973i | 0.925115 | + | 0.534115i | 0.885263 | − | 0.465090i | \(-0.153978\pi\) |
0.0398518 | + | 0.999206i | \(0.487311\pi\) | |||||||
\(678\) | 1.41441 | + | 3.85867i | 0.0543202 | + | 0.148191i | ||||
\(679\) | 20.5649 | − | 2.63626i | 0.789209 | − | 0.101170i | ||||
\(680\) | −14.4882 | − | 8.23316i | −0.555595 | − | 0.315727i | ||||
\(681\) | −1.46437 | + | 2.53637i | −0.0561149 | + | 0.0971939i | ||||
\(682\) | −23.2926 | − | 19.4545i | −0.891919 | − | 0.744951i | ||||
\(683\) | 40.9116 | − | 23.6203i | 1.56544 | − | 0.903806i | 0.568748 | − | 0.822512i | \(-0.307428\pi\) |
0.996690 | − | 0.0812945i | \(-0.0259054\pi\) | |||||||
\(684\) | 2.43192 | + | 13.4337i | 0.0929867 | + | 0.513649i | ||||
\(685\) | 8.83618i | 0.337613i | ||||||||
\(686\) | 5.46595 | + | 25.6149i | 0.208691 | + | 0.977982i | ||||
\(687\) | − | 14.4446i | − | 0.551096i | ||||||
\(688\) | 7.74580 | − | 9.40391i | 0.295306 | − | 0.358521i | ||||
\(689\) | 0.139448 | − | 0.0805103i | 0.00531254 | − | 0.00306720i | ||||
\(690\) | 1.14954 | − | 1.37632i | 0.0437621 | − | 0.0523958i | ||||
\(691\) | −17.2216 | + | 29.8286i | −0.655139 | + | 1.13473i | 0.326720 | + | 0.945121i | \(0.394057\pi\) |
−0.981859 | + | 0.189613i | \(0.939277\pi\) | |||||||
\(692\) | 21.2830 | + | 25.1306i | 0.809060 | + | 0.955321i | ||||
\(693\) | 29.8544 | − | 3.82710i | 1.13408 | − | 0.145380i | ||||
\(694\) | −11.7029 | + | 4.28974i | −0.444236 | + | 0.162836i | ||||
\(695\) | 6.85273 | + | 3.95643i | 0.259939 | + | 0.150076i | ||||
\(696\) | −0.152838 | − | 22.3493i | −0.00579333 | − | 0.847147i | ||||
\(697\) | 30.9076 | + | 53.5336i | 1.17071 | + | 2.02773i | ||||
\(698\) | 0.432818 | − | 2.48778i | 0.0163824 | − | 0.0941639i | ||||
\(699\) | 0.222559 | 0.00841795 | ||||||||
\(700\) | −5.04475 | + | 1.59702i | −0.190674 | + | 0.0603616i | ||||
\(701\) | −28.7191 | −1.08470 | −0.542352 | − | 0.840151i | \(-0.682466\pi\) | ||||
−0.542352 | + | 0.840151i | \(0.682466\pi\) | |||||||
\(702\) | −0.941838 | + | 5.41356i | −0.0355474 | + | 0.204322i | ||||
\(703\) | 2.65588 | + | 4.60012i | 0.100168 | + | 0.173497i | ||||
\(704\) | 33.9368 | + | 18.9793i | 1.27904 | + | 0.715311i | ||||
\(705\) | 3.67048 | + | 2.11915i | 0.138238 | + | 0.0798119i | ||||
\(706\) | −36.5057 | + | 13.3813i | −1.37391 | + | 0.503612i | ||||
\(707\) | −11.6819 | − | 15.3319i | −0.439344 | − | 0.576616i | ||||
\(708\) | −14.0861 | + | 11.9295i | −0.529388 | + | 0.448338i | ||||
\(709\) | −24.7310 | + | 42.8354i | −0.928794 | + | 1.60872i | −0.143450 | + | 0.989658i | \(0.545820\pi\) |
−0.785344 | + | 0.619060i | \(0.787514\pi\) | |||||||
\(710\) | −7.59774 | + | 9.09667i | −0.285138 | + | 0.341392i | ||||
\(711\) | 7.36550 | − | 4.25247i | 0.276228 | − | 0.159480i | ||||
\(712\) | −2.52491 | − | 4.30502i | −0.0946251 | − | 0.161337i | ||||
\(713\) | − | 6.89430i | − | 0.258193i | ||||||
\(714\) | −9.63519 | + | 15.0868i | −0.360588 | + | 0.564609i | ||||
\(715\) | 4.35462i | 0.162854i | ||||||||
\(716\) | −21.0544 | + | 3.81151i | −0.786840 | + | 0.142443i | ||||
\(717\) | 16.1926 | − | 9.34879i | 0.604723 | − | 0.349137i | ||||
\(718\) | −20.1934 | − | 16.8660i | −0.753612 | − | 0.629434i | ||||
\(719\) | −2.38663 | + | 4.13376i | −0.0890061 | + | 0.154163i | −0.907091 | − | 0.420934i | \(-0.861702\pi\) |
0.818085 | + | 0.575097i | \(0.195036\pi\) | |||||||
\(720\) | 9.23456 | + | 1.54162i | 0.344152 | + | 0.0574528i | ||||
\(721\) | −22.4818 | − | 9.40205i | −0.837268 | − | 0.350151i | ||||
\(722\) | −5.10801 | − | 13.9352i | −0.190101 | − | 0.518616i | ||||
\(723\) | −2.64084 | − | 1.52469i | −0.0982138 | − | 0.0567038i | ||||
\(724\) | 7.33968 | − | 20.4553i | 0.272777 | − | 0.760215i | ||||
\(725\) | −4.86542 | − | 8.42715i | −0.180697 | − | 0.312977i | ||||
\(726\) | 14.2826 | + | 2.48485i | 0.530076 | + | 0.0922214i | ||||
\(727\) | −20.9881 | −0.778405 | −0.389202 | − | 0.921152i | \(-0.627249\pi\) | ||||
−0.389202 | + | 0.921152i | \(0.627249\pi\) | |||||||
\(728\) | 6.20298 | + | 2.54443i | 0.229898 | + | 0.0943027i | ||||
\(729\) | 2.37261 | 0.0878744 | ||||||||
\(730\) | 12.2344 | + | 2.12850i | 0.452814 | + | 0.0787795i | ||||
\(731\) | −8.97240 | − | 15.5406i | −0.331856 | − | 0.574792i | ||||
\(732\) | −3.37648 | + | 9.41008i | −0.124798 | + | 0.347806i | ||||
\(733\) | 16.4524 | + | 9.49880i | 0.607684 | + | 0.350846i | 0.772058 | − | 0.635552i | \(-0.219227\pi\) |
−0.164375 | + | 0.986398i | \(0.552561\pi\) | |||||||
\(734\) | −10.7002 | − | 29.1913i | −0.394951 | − | 1.07747i | ||||
\(735\) | 1.43380 | + | 5.50049i | 0.0528865 | + | 0.202889i | ||||
\(736\) | 1.63292 | + | 8.68099i | 0.0601903 | + | 0.319986i | ||||
\(737\) | 18.9534 | − | 32.8282i | 0.698156 | − | 1.20924i | ||||
\(738\) | −26.6552 | − | 22.2630i | −0.981191 | − | 0.819513i | ||||
\(739\) | 15.2226 | − | 8.78874i | 0.559971 | − | 0.323299i | −0.193163 | − | 0.981167i | \(-0.561875\pi\) |
0.753134 | + | 0.657867i | \(0.228541\pi\) | |||||||
\(740\) | 3.58447 | − | 0.648902i | 0.131768 | − | 0.0238541i | ||||
\(741\) | 2.12176i | 0.0779447i | ||||||||
\(742\) | −0.596832 | + | 0.309839i | −0.0219104 | + | 0.0113746i | ||||
\(743\) | 0.624385i | 0.0229065i | 0.999934 | + | 0.0114532i | \(0.00364575\pi\) | ||||
−0.999934 | + | 0.0114532i | \(0.996354\pi\) | |||||||
\(744\) | −8.74724 | + | 5.13030i | −0.320689 | + | 0.188086i | ||||
\(745\) | 1.49217 | − | 0.861502i | 0.0546687 | − | 0.0315630i | ||||
\(746\) | 0.512769 | − | 0.613931i | 0.0187738 | − | 0.0224776i | ||||
\(747\) | −2.38501 | + | 4.13096i | −0.0872629 | + | 0.151144i | ||||
\(748\) | 43.7045 | − | 37.0132i | 1.59799 | − | 1.35334i | ||||
\(749\) | 15.3006 | − | 36.5863i | 0.559073 | − | 1.33684i | ||||
\(750\) | −1.07825 | + | 0.395235i | −0.0393720 | + | 0.0144319i | ||||
\(751\) | −28.7011 | − | 16.5706i | −1.04732 | − | 0.604670i | −0.125422 | − | 0.992103i | \(-0.540028\pi\) |
−0.921898 | + | 0.387433i | \(0.873362\pi\) | |||||||
\(752\) | −19.5523 | + | 7.31903i | −0.712999 | + | 0.266898i | ||||
\(753\) | −0.108902 | − | 0.188624i | −0.00396862 | − | 0.00687384i | ||||
\(754\) | −2.11329 | + | 12.1469i | −0.0769615 | + | 0.442364i | ||||
\(755\) | 0.814130 | 0.0296292 | ||||||||
\(756\) | 4.94097 | − | 22.4099i | 0.179701 | − | 0.815038i | ||||
\(757\) | 43.9649 | 1.59793 | 0.798966 | − | 0.601376i | \(-0.205380\pi\) | ||||
0.798966 | + | 0.601376i | \(0.205380\pi\) | |||||||
\(758\) | −6.86705 | + | 39.4709i | −0.249423 | + | 1.43365i | ||||
\(759\) | 3.08154 | + | 5.33738i | 0.111853 | + | 0.193735i | ||||
\(760\) | 8.24853 | − | 0.0564087i | 0.299206 | − | 0.00204616i | ||||
\(761\) | −6.43253 | − | 3.71382i | −0.233179 | − | 0.134626i | 0.378859 | − | 0.925455i | \(-0.376317\pi\) |
−0.612038 | + | 0.790829i | \(0.709650\pi\) | |||||||
\(762\) | −8.27450 | + | 3.03305i | −0.299754 | + | 0.109876i | ||||
\(763\) | 3.34870 | − | 2.55149i | 0.121231 | − | 0.0923701i | ||||
\(764\) | 0.655554 | + | 0.774065i | 0.0237171 | + | 0.0280047i | ||||
\(765\) | 6.89495 | − | 11.9424i | 0.249288 | − | 0.431779i | ||||
\(766\) | −2.79767 | + | 3.34961i | −0.101084 | + | 0.121026i | ||||
\(767\) | 8.81869 | − | 5.09147i | 0.318424 | − | 0.183842i | ||||
\(768\) | 9.79902 | − | 8.53163i | 0.353592 | − | 0.307859i | ||||
\(769\) | 17.2607i | 0.622438i | 0.950338 | + | 0.311219i | \(0.100737\pi\) | ||||
−0.950338 | + | 0.311219i | \(0.899263\pi\) | |||||||
\(770\) | 0.813678 | − | 18.1678i | 0.0293229 | − | 0.654724i | ||||
\(771\) | 25.2426i | 0.909089i | ||||||||
\(772\) | 7.41742 | + | 40.9731i | 0.266959 | + | 1.47465i | ||||
\(773\) | 30.6272 | − | 17.6826i | 1.10158 | − | 0.636000i | 0.164948 | − | 0.986302i | \(-0.447254\pi\) |
0.936637 | + | 0.350302i | \(0.113921\pi\) | |||||||
\(774\) | 7.73793 | + | 6.46289i | 0.278134 | + | 0.232304i | ||||
\(775\) | −2.20757 | + | 3.82363i | −0.0792984 | + | 0.137349i | ||||
\(776\) | −10.9508 | + | 19.2706i | −0.393112 | + | 0.691773i | ||||
\(777\) | −0.497560 | − | 3.88137i | −0.0178499 | − | 0.139243i | ||||
\(778\) | 7.95963 | + | 21.7148i | 0.285367 | + | 0.778512i | ||||
\(779\) | −26.4991 | − | 15.2993i | −0.949430 | − | 0.548153i | ||||
\(780\) | 1.36957 | + | 0.491425i | 0.0490386 | + | 0.0175958i | ||||
\(781\) | −20.3671 | − | 35.2768i | −0.728792 | − | 1.26230i | ||||
\(782\) | 12.8180 | + | 2.23005i | 0.458372 | + | 0.0797464i | ||||
\(783\) | 42.2005 | 1.50812 | ||||||||
\(784\) | −25.4039 | − | 11.7746i | −0.907282 | − | 0.420522i | ||||
\(785\) | 13.3553 | 0.476670 | ||||||||
\(786\) | −22.5241 | − | 3.91869i | −0.803409 | − | 0.139775i | ||||
\(787\) | −5.59512 | − | 9.69103i | −0.199444 | − | 0.345448i | 0.748904 | − | 0.662678i | \(-0.230580\pi\) |
−0.948348 | + | 0.317231i | \(0.897247\pi\) | |||||||
\(788\) | −16.6806 | − | 5.98527i | −0.594222 | − | 0.213216i | ||||
\(789\) | −19.5827 | − | 11.3061i | −0.697164 | − | 0.402508i | ||||
\(790\) | −1.76858 | − | 4.82487i | −0.0629231 | − | 0.171661i | ||||
\(791\) | 1.20390 | + | 9.39140i | 0.0428058 | + | 0.333920i | ||||
\(792\) | −15.8975 | + | 27.9754i | −0.564894 | + | 0.994062i | ||||
\(793\) | 2.75759 | − | 4.77628i | 0.0979248 | − | 0.169611i | ||||
\(794\) | 8.49298 | + | 7.09353i | 0.301405 | + | 0.251740i | ||||
\(795\) | −0.126391 | + | 0.0729717i | −0.00448261 | + | 0.00258804i | ||||
\(796\) | −8.27130 | − | 45.6898i | −0.293169 | − | 1.61943i | ||||
\(797\) | − | 9.18543i | − | 0.325365i | −0.986679 | − | 0.162682i | \(-0.947985\pi\) | ||
0.986679 | − | 0.162682i | \(-0.0520146\pi\) | |||||||
\(798\) | 0.396459 | − | 8.85215i | 0.0140345 | − | 0.313363i | ||||
\(799\) | 30.7504i | 1.08787i | ||||||||
\(800\) | 1.87405 | − | 5.33741i | 0.0662576 | − | 0.188706i | ||||
\(801\) | 3.57670 | − | 2.06501i | 0.126377 | − | 0.0729636i | ||||
\(802\) | −17.9388 | + | 21.4778i | −0.633440 | + | 0.758409i | ||||
\(803\) | −21.3396 | + | 36.9613i | −0.753058 | + | 1.30433i | ||||
\(804\) | −8.18590 | − | 9.66574i | −0.288694 | − | 0.340884i | ||||
\(805\) | 3.28617 | − | 2.50385i | 0.115822 | − | 0.0882491i | ||||
\(806\) | 5.25243 | − | 1.92530i | 0.185009 | − | 0.0678157i | ||||
\(807\) | 1.01609 | + | 0.586638i | 0.0357680 | + | 0.0206506i | ||||
\(808\) | 20.6056 | − | 0.140914i | 0.724903 | − | 0.00495735i | ||||
\(809\) | 0.0848856 | + | 0.147026i | 0.00298442 | + | 0.00516917i | 0.867514 | − | 0.497413i | \(-0.165717\pi\) |
−0.864529 | + | 0.502582i | \(0.832383\pi\) | |||||||
\(810\) | −0.848429 | + | 4.87666i | −0.0298108 | + | 0.171348i | ||||
\(811\) | 38.6906 | 1.35861 | 0.679306 | − | 0.733855i | \(-0.262281\pi\) | ||||
0.679306 | + | 0.733855i | \(0.262281\pi\) | |||||||
\(812\) | 11.0865 | − | 50.2831i | 0.389061 | − | 1.76459i | ||||
\(813\) | −11.3638 | −0.398547 | ||||||||
\(814\) | −2.14588 | + | 12.3342i | −0.0752129 | + | 0.432314i | ||||
\(815\) | −4.48856 | − | 7.77441i | −0.157227 | − | 0.272326i | ||||
\(816\) | −6.70895 | − | 17.9225i | −0.234860 | − | 0.627413i | ||||
\(817\) | 7.69262 | + | 4.44134i | 0.269131 | + | 0.155383i | ||||
\(818\) | −33.5957 | + | 12.3146i | −1.17465 | + | 0.430571i | ||||
\(819\) | −2.14062 | + | 5.11859i | −0.0747995 | + | 0.178858i | ||||
\(820\) | −16.0130 | + | 13.5614i | −0.559200 | + | 0.473585i | ||||
\(821\) | −16.9114 | + | 29.2914i | −0.590213 | + | 1.02228i | 0.403991 | + | 0.914763i | \(0.367623\pi\) |
−0.994203 | + | 0.107515i | \(0.965710\pi\) | |||||||
\(822\) | −6.50493 | + | 7.78826i | −0.226886 | + | 0.271647i | ||||
\(823\) | −9.03275 | + | 5.21506i | −0.314862 | + | 0.181786i | −0.649100 | − | 0.760703i | \(-0.724854\pi\) |
0.334238 | + | 0.942489i | \(0.391521\pi\) | |||||||
\(824\) | 22.4714 | − | 13.1796i | 0.782828 | − | 0.459132i | ||||
\(825\) | − | 3.94687i | − | 0.137412i | ||||||
\(826\) | −37.7437 | + | 19.5942i | −1.31327 | + | 0.681771i | ||||
\(827\) | − | 10.1110i | − | 0.351594i | −0.984426 | − | 0.175797i | \(-0.943750\pi\) | ||
0.984426 | − | 0.175797i | \(-0.0562502\pi\) | |||||||
\(828\) | −7.19279 | + | 1.30212i | −0.249967 | + | 0.0452519i | ||||
\(829\) | 6.66205 | − | 3.84634i | 0.231383 | − | 0.133589i | −0.379827 | − | 0.925058i | \(-0.624017\pi\) |
0.611210 | + | 0.791469i | \(0.290683\pi\) | |||||||
\(830\) | 2.21204 | + | 1.84754i | 0.0767810 | + | 0.0641292i | ||||
\(831\) | −7.51686 | + | 13.0196i | −0.260757 | + | 0.451645i | ||||
\(832\) | −6.15761 | + | 3.66829i | −0.213477 | + | 0.127175i | ||||
\(833\) | −29.3599 | + | 28.9630i | −1.01726 | + | 1.00351i | ||||
\(834\) | 3.12744 | + | 8.53200i | 0.108294 | + | 0.295439i | ||||
\(835\) | 14.7505 | + | 8.51620i | 0.510462 | + | 0.294715i | ||||
\(836\) | −9.57457 | + | 26.6838i | −0.331143 | + | 0.922878i | ||||
\(837\) | −9.57376 | − | 16.5822i | −0.330918 | − | 0.573166i | ||||
\(838\) | −23.2405 | − | 4.04332i | −0.802830 | − | 0.139674i | ||||
\(839\) | 46.1347 | 1.59275 | 0.796373 | − | 0.604806i | \(-0.206749\pi\) | ||||
0.796373 | + | 0.604806i | \(0.206749\pi\) | |||||||
\(840\) | −5.62215 | − | 2.30618i | −0.193983 | − | 0.0795706i | ||||
\(841\) | 65.6893 | 2.26515 | ||||||||
\(842\) | −4.36522 | − | 0.759451i | −0.150436 | − | 0.0261724i | ||||
\(843\) | 3.65765 | + | 6.33524i | 0.125976 | + | 0.218197i | ||||
\(844\) | −4.19526 | + | 11.6920i | −0.144407 | + | 0.402454i | ||||
\(845\) | 10.5632 | + | 6.09865i | 0.363384 | + | 0.209800i | ||||
\(846\) | −5.94588 | − | 16.2210i | −0.204423 | − | 0.557690i | ||||
\(847\) | 30.8133 | + | 12.8863i | 1.05876 | + | 0.442778i | ||||
\(848\) | 0.118374 | − | 0.709083i | 0.00406500 | − | 0.0243500i | ||||
\(849\) | 11.0824 | − | 19.1952i | 0.380346 | − | 0.658778i | ||||
\(850\) | −6.39490 | − | 5.34117i | −0.219343 | − | 0.183201i | ||||
\(851\) | −2.46305 | + | 1.42204i | −0.0844321 | + | 0.0487469i | ||||
\(852\) | −13.3934 | + | 2.42463i | −0.458850 | + | 0.0830663i | ||||
\(853\) | − | 29.1420i | − | 0.997804i | −0.866658 | − | 0.498902i | \(-0.833737\pi\) | ||
0.866658 | − | 0.498902i | \(-0.166263\pi\) | |||||||
\(854\) | −12.3974 | + | 19.4118i | −0.424229 | + | 0.664258i | ||||
\(855\) | 6.82601i | 0.233445i | ||||||||
\(856\) | 21.4481 | + | 36.5693i | 0.733080 | + | 1.24991i | ||||
\(857\) | −10.5403 | + | 6.08543i | −0.360049 | + | 0.207874i | −0.669102 | − | 0.743170i | \(-0.733321\pi\) |
0.309053 | + | 0.951045i | \(0.399988\pi\) | |||||||
\(858\) | −3.20574 | + | 3.83819i | −0.109442 | + | 0.131034i | ||||
\(859\) | 2.45770 | − | 4.25686i | 0.0838555 | − | 0.145242i | −0.821047 | − | 0.570860i | \(-0.806610\pi\) |
0.904903 | + | 0.425618i | \(0.139943\pi\) | |||||||
\(860\) | 4.64854 | − | 3.93685i | 0.158514 | − | 0.134245i | ||||
\(861\) | 13.6616 | + | 17.9301i | 0.465585 | + | 0.611057i | ||||
\(862\) | −36.1062 | + | 13.2349i | −1.22978 | + | 0.450781i | ||||
\(863\) | −18.5564 | − | 10.7135i | −0.631666 | − | 0.364692i | 0.149731 | − | 0.988727i | \(-0.452159\pi\) |
−0.781397 | + | 0.624034i | \(0.785493\pi\) | |||||||
\(864\) | 15.9824 | + | 18.6121i | 0.543731 | + | 0.633195i | ||||
\(865\) | 8.23299 | + | 14.2599i | 0.279930 | + | 0.484853i | ||||
\(866\) | 7.76175 | − | 44.6135i | 0.263755 | − | 1.51603i | ||||
\(867\) | −14.3824 | −0.488453 | ||||||||
\(868\) | −22.2733 | + | 7.05107i | −0.756006 | + | 0.239329i | ||||
\(869\) | 17.6612 | 0.599116 | ||||||||
\(870\) | 1.91541 | − | 11.0095i | 0.0649385 | − | 0.373258i | ||||
\(871\) | 3.49371 | + | 6.05129i | 0.118380 | + | 0.205040i | ||||
\(872\) | 0.0307776 | + | 4.50055i | 0.00104226 | + | 0.152408i | ||||
\(873\) | −15.8845 | − | 9.17091i | −0.537608 | − | 0.310388i | ||||
\(874\) | −6.04680 | + | 2.21648i | −0.204536 | + | 0.0749735i | ||||
\(875\) | −2.62428 | + | 0.336411i | −0.0887167 | + | 0.0113728i | ||||
\(876\) | 9.21650 | + | 10.8827i | 0.311397 | + | 0.367691i | ||||
\(877\) | 12.1125 | − | 20.9794i | 0.409009 | − | 0.708424i | −0.585770 | − | 0.810477i | \(-0.699208\pi\) |
0.994779 | + | 0.102053i | \(0.0325412\pi\) | |||||||
\(878\) | −18.2223 | + | 21.8173i | −0.614972 | + | 0.736297i | ||||
\(879\) | −7.47767 | + | 4.31723i | −0.252216 | + | 0.145617i | ||||
\(880\) | 15.0065 | + | 12.3606i | 0.505870 | + | 0.416675i | ||||
\(881\) | − | 30.4932i | − | 1.02734i | −0.857987 | − | 0.513671i | \(-0.828285\pi\) | ||
0.857987 | − | 0.513671i | \(-0.171715\pi\) | |||||||
\(882\) | 9.88729 | − | 20.9552i | 0.332922 | − | 0.705598i | ||||
\(883\) | 0.362622i | 0.0122032i | 0.999981 | + | 0.00610160i | \(0.00194221\pi\) | ||||
−0.999981 | + | 0.00610160i | \(0.998058\pi\) | |||||||
\(884\) | 1.88059 | + | 10.3882i | 0.0632511 | + | 0.349393i | ||||
\(885\) | −7.99294 | + | 4.61473i | −0.268680 | + | 0.155122i | ||||
\(886\) | −16.1693 | − | 13.5049i | −0.543217 | − | 0.453707i | ||||
\(887\) | −18.8687 | + | 32.6816i | −0.633550 | + | 1.09734i | 0.353270 | + | 0.935521i | \(0.385070\pi\) |
−0.986820 | + | 0.161820i | \(0.948264\pi\) | |||||||
\(888\) | 3.63707 | + | 2.06683i | 0.122052 | + | 0.0693584i | ||||
\(889\) | −20.1388 | + | 2.58163i | −0.675434 | + | 0.0865852i | ||||
\(890\) | −0.858824 | − | 2.34297i | −0.0287879 | − | 0.0785365i | ||||
\(891\) | −14.7329 | − | 8.50603i | −0.493570 | − | 0.284963i | ||||
\(892\) | −24.1374 | − | 8.66089i | −0.808180 | − | 0.289988i | ||||
\(893\) | −7.61072 | − | 13.1822i | −0.254683 | − | 0.441124i | ||||
\(894\) | 1.94942 | + | 0.339155i | 0.0651983 | + | 0.0113430i | ||||
\(895\) | −10.6983 | −0.357605 | ||||||||
\(896\) | 26.3755 | − | 14.1539i | 0.881145 | − | 0.472847i | ||||
\(897\) | −1.13605 | −0.0379317 | ||||||||
\(898\) | 8.61888 | + | 1.49949i | 0.287616 | + | 0.0500387i | ||||
\(899\) | −21.4815 | − | 37.2071i | −0.716450 | − | 1.24093i | ||||
\(900\) | 4.40612 | + | 1.58099i | 0.146871 | + | 0.0526995i | ||||
\(901\) | −0.917007 | − | 0.529434i | −0.0305499 | − | 0.0176380i | ||||
\(902\) | −24.8205 | − | 67.7131i | −0.826432 | − | 2.25460i | ||||
\(903\) | −3.96592 | − | 5.20507i | −0.131978 | − | 0.173214i | ||||
\(904\) | −8.80030 | − | 5.00093i | −0.292694 | − | 0.166328i | ||||
\(905\) | 5.43306 | − | 9.41034i | 0.180601 | − | 0.312810i | ||||
\(906\) | 0.717579 | + | 0.599338i | 0.0238400 | + | 0.0199117i | ||||
\(907\) | −4.41171 | + | 2.54710i | −0.146489 | + | 0.0845752i | −0.571453 | − | 0.820635i | \(-0.693620\pi\) |
0.424964 | + | 0.905210i | \(0.360287\pi\) | |||||||
\(908\) | −1.28495 | − | 7.09792i | −0.0426425 | − | 0.235553i | ||||
\(909\) | 17.0520i | 0.565580i | ||||||||
\(910\) | 2.82526 | + | 1.80435i | 0.0936563 | + | 0.0598137i | ||||
\(911\) | − | 4.73127i | − | 0.156754i | −0.996924 | − | 0.0783769i | \(-0.975026\pi\) | ||
0.996924 | − | 0.0783769i | \(-0.0249738\pi\) | |||||||
\(912\) | 7.31183 | + | 6.02260i | 0.242119 | + | 0.199428i | ||||
\(913\) | −8.57828 | + | 4.95267i | −0.283900 | + | 0.163910i | ||||
\(914\) | −21.1686 | + | 25.3449i | −0.700195 | + | 0.838334i | ||||
\(915\) | −2.49938 | + | 4.32905i | −0.0826269 | + | 0.143114i | ||||
\(916\) | 22.9918 | + | 27.1483i | 0.759671 | + | 0.897004i | ||||
\(917\) | −48.5936 | − | 20.3221i | −1.60470 | − | 0.671096i | ||||
\(918\) | 33.9268 | − | 12.4360i | 1.11975 | − | 0.410449i | ||||
\(919\) | −25.6239 | − | 14.7939i | −0.845254 | − | 0.488007i | 0.0137930 | − | 0.999905i | \(-0.495609\pi\) |
−0.859047 | + | 0.511898i | \(0.828943\pi\) | |||||||
\(920\) | 0.0302029 | + | 4.41651i | 0.000995760 | + | 0.145608i | ||||
\(921\) | 7.30073 | + | 12.6452i | 0.240567 | + | 0.416675i | ||||
\(922\) | −4.21970 | + | 24.2543i | −0.138969 | + | 0.798773i | ||||
\(923\) | 7.50862 | 0.247149 | ||||||||
\(924\) | 14.0918 | − | 15.4142i | 0.463586 | − | 0.507091i | ||||
\(925\) | 1.82136 | 0.0598861 | ||||||||
\(926\) | −0.233312 | + | 1.34105i | −0.00766712 | + | 0.0440696i | ||||
\(927\) | 10.7790 | + | 18.6697i | 0.354028 | + | 0.613195i | ||||
\(928\) | 35.8612 | + | 41.7616i | 1.17720 | + | 1.37089i | ||||
\(929\) | 0.232942 | + | 0.134489i | 0.00764257 | + | 0.00441244i | 0.503816 | − | 0.863811i | \(-0.331929\pi\) |
−0.496174 | + | 0.868223i | \(0.665262\pi\) | |||||||
\(930\) | −4.76061 | + | 1.74502i | −0.156107 | + | 0.0572215i | ||||
\(931\) | 5.41776 | − | 19.6825i | 0.177560 | − | 0.645069i | ||||
\(932\) | −0.418294 | + | 0.354252i | −0.0137017 | + | 0.0116039i | ||||
\(933\) | −11.4968 | + | 19.9131i | −0.376389 | + | 0.651924i | ||||
\(934\) | −0.263793 | + | 0.315836i | −0.00863158 | + | 0.0103345i | ||||
\(935\) | 24.7994 | − | 14.3179i | 0.811028 | − | 0.468247i | ||||
\(936\) | −3.00068 | − | 5.11621i | −0.0980802 | − | 0.167228i | ||||
\(937\) | − | 32.3858i | − | 1.05800i | −0.848623 | − | 0.528999i | \(-0.822568\pi\) | ||
0.848623 | − | 0.528999i | \(-0.177432\pi\) | |||||||
\(938\) | −13.4454 | − | 25.8993i | −0.439007 | − | 0.845643i | ||||
\(939\) | 4.54334i | 0.148266i | ||||||||
\(940\) | −10.2717 | + | 1.85950i | −0.335025 | + | 0.0606502i | ||||
\(941\) | −14.7440 | + | 8.51248i | −0.480642 | + | 0.277499i | −0.720684 | − | 0.693264i | \(-0.756172\pi\) |
0.240042 | + | 0.970763i | \(0.422839\pi\) | |||||||
\(942\) | 11.7714 | + | 9.83176i | 0.383534 | + | 0.320336i | ||||
\(943\) | 8.19170 | − | 14.1884i | 0.266758 | − | 0.462039i | ||||
\(944\) | 7.48600 | − | 44.8424i | 0.243649 | − | 1.45950i | ||||
\(945\) | 4.42698 | − | 10.5856i | 0.144010 | − | 0.344351i | ||||
\(946\) | 7.20533 | + | 19.6569i | 0.234265 | + | 0.639102i | ||||
\(947\) | 0.317117 | + | 0.183088i | 0.0103049 | + | 0.00594955i | 0.505144 | − | 0.863035i | \(-0.331440\pi\) |
−0.494839 | + | 0.868985i | \(0.664773\pi\) | |||||||
\(948\) | 1.99309 | − | 5.55464i | 0.0647327 | − | 0.180406i | ||||
\(949\) | −3.93357 | − | 6.81315i | −0.127689 | − | 0.221164i | ||||
\(950\) | 4.06333 | + | 0.706927i | 0.131832 | + | 0.0229358i | ||||
\(951\) | 25.4553 | 0.825444 | ||||||||
\(952\) | −5.90491 | − | 43.6918i | −0.191379 | − | 1.41606i | ||||
\(953\) | 28.7452 | 0.931148 | 0.465574 | − | 0.885009i | \(-0.345848\pi\) | ||||
0.465574 | + | 0.885009i | \(0.345848\pi\) | |||||||
\(954\) | 0.586099 | + | 0.101968i | 0.0189756 | + | 0.00330134i | ||||
\(955\) | 0.253590 | + | 0.439231i | 0.00820599 | + | 0.0142132i | ||||
\(956\) | −15.5528 | + | 43.3449i | −0.503015 | + | 1.40187i | ||||
\(957\) | 33.2609 | + | 19.2032i | 1.07517 | + | 0.620751i | ||||
\(958\) | 9.63196 | + | 26.2771i | 0.311194 | + | 0.848973i | ||||
\(959\) | −18.5956 | + | 14.1686i | −0.600483 | + | 0.457529i | ||||
\(960\) | 5.58104 | − | 3.32481i | 0.180127 | − | 0.107308i | ||||
\(961\) | 5.75324 | − | 9.96490i | 0.185588 | − | 0.321448i | ||||
\(962\) | −1.77121 | − | 1.47936i | −0.0571061 | − | 0.0476963i | ||||
\(963\) | −30.3826 | + | 17.5414i | −0.979067 | + | 0.565264i | ||||
\(964\) | 7.39027 | − | 1.33787i | 0.238025 | − | 0.0430900i | ||||
\(965\) | 20.8195i | 0.670204i | ||||||||
\(966\) | 4.73971 | + | 0.212276i | 0.152498 | + | 0.00682987i | ||||
\(967\) | 38.1396i | 1.22649i | 0.789895 | + | 0.613243i | \(0.210135\pi\) | ||||
−0.789895 | + | 0.613243i | \(0.789865\pi\) | |||||||
\(968\) | −30.7990 | + | 18.0637i | −0.989916 | + | 0.580590i | ||||
\(969\) | 12.0833 | − | 6.97632i | 0.388173 | − | 0.224112i | ||||
\(970\) | −7.10424 | + | 8.50580i | −0.228103 | + | 0.273105i | ||||
\(971\) | 2.80103 | − | 4.85153i | 0.0898895 | − | 0.155693i | −0.817575 | − | 0.575822i | \(-0.804682\pi\) |
0.907464 | + | 0.420129i | \(0.138015\pi\) | |||||||
\(972\) | −24.1944 | + | 20.4902i | −0.776036 | + | 0.657224i | ||||
\(973\) | 2.66197 | + | 20.7655i | 0.0853389 | + | 0.665712i | ||||
\(974\) | 30.0373 | − | 11.0103i | 0.962458 | − | 0.352793i | ||||
\(975\) | 0.630064 | + | 0.363768i | 0.0201782 | + | 0.0116499i | ||||
\(976\) | −8.63223 | − | 23.0604i | −0.276311 | − | 0.738146i | ||||
\(977\) | 20.7850 | + | 36.0007i | 0.664972 | + | 1.15176i | 0.979293 | + | 0.202448i | \(0.0648898\pi\) |
−0.314321 | + | 0.949317i | \(0.601777\pi\) | |||||||
\(978\) | 1.76705 | − | 10.1568i | 0.0565039 | − | 0.324777i | ||||
\(979\) | 8.57634 | 0.274101 | ||||||||
\(980\) | −11.4501 | − | 8.05582i | −0.365759 | − | 0.257334i | ||||
\(981\) | −3.72439 | −0.118911 | ||||||||
\(982\) | 9.44307 | − | 54.2775i | 0.301340 | − | 1.73207i | ||||
\(983\) | 22.5595 | + | 39.0742i | 0.719536 | + | 1.24627i | 0.961184 | + | 0.275909i | \(0.0889789\pi\) |
−0.241647 | + | 0.970364i | \(0.577688\pi\) | |||||||
\(984\) | −24.0975 | + | 0.164794i | −0.768201 | + | 0.00525344i | ||||
\(985\) | −7.67381 | − | 4.43048i | −0.244508 | − | 0.141167i | ||||
\(986\) | 76.1248 | − | 27.9038i | 2.42431 | − | 0.888639i | ||||
\(987\) | 1.42581 | + | 11.1225i | 0.0453842 | + | 0.354033i | ||||
\(988\) | −3.37725 | − | 3.98779i | −0.107445 | − | 0.126869i | ||||
\(989\) | −2.37803 | + | 4.11887i | −0.0756169 | + | 0.130972i | ||||
\(990\) | −10.3133 | + | 12.3480i | −0.327780 | + | 0.392446i | ||||
\(991\) | 22.2587 | − | 12.8510i | 0.707069 | − | 0.408227i | −0.102906 | − | 0.994691i | \(-0.532814\pi\) |
0.809975 | + | 0.586464i | \(0.199481\pi\) | |||||||
\(992\) | 8.27420 | − | 23.5655i | 0.262706 | − | 0.748204i | ||||
\(993\) | − | 17.4699i | − | 0.554389i | ||||||
\(994\) | −31.3266 | − | 1.40302i | −0.993620 | − | 0.0445010i | ||||
\(995\) | − | 23.2162i | − | 0.736005i | ||||||
\(996\) | 0.589597 | + | 3.25688i | 0.0186821 | + | 0.103198i | ||||
\(997\) | −25.9069 | + | 14.9574i | −0.820481 | + | 0.473705i | −0.850582 | − | 0.525842i | \(-0.823750\pi\) |
0.0301015 | + | 0.999547i | \(0.490417\pi\) | |||||||
\(998\) | −40.8751 | − | 34.1398i | −1.29388 | − | 1.08068i | ||||
\(999\) | −3.94943 | + | 6.84061i | −0.124954 | + | 0.216427i |
(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 | 140.2.o.a.131.1 | yes | 32 | |
4.3 | odd | 2 | inner | 140.2.o.a.131.12 | yes | 32 | |
5.2 | odd | 4 | 700.2.t.c.299.8 | 32 | |||
5.3 | odd | 4 | 700.2.t.d.299.9 | 32 | |||
5.4 | even | 2 | 700.2.p.c.551.16 | 32 | |||
7.2 | even | 3 | 980.2.g.a.391.24 | 32 | |||
7.3 | odd | 6 | inner | 140.2.o.a.31.12 | yes | 32 | |
7.4 | even | 3 | 980.2.o.f.31.12 | 32 | |||
7.5 | odd | 6 | 980.2.g.a.391.23 | 32 | |||
7.6 | odd | 2 | 980.2.o.f.411.1 | 32 | |||
20.3 | even | 4 | 700.2.t.d.299.13 | 32 | |||
20.7 | even | 4 | 700.2.t.c.299.4 | 32 | |||
20.19 | odd | 2 | 700.2.p.c.551.5 | 32 | |||
28.3 | even | 6 | inner | 140.2.o.a.31.1 | ✓ | 32 | |
28.11 | odd | 6 | 980.2.o.f.31.1 | 32 | |||
28.19 | even | 6 | 980.2.g.a.391.22 | 32 | |||
28.23 | odd | 6 | 980.2.g.a.391.21 | 32 | |||
28.27 | even | 2 | 980.2.o.f.411.12 | 32 | |||
35.3 | even | 12 | 700.2.t.c.199.4 | 32 | |||
35.17 | even | 12 | 700.2.t.d.199.13 | 32 | |||
35.24 | odd | 6 | 700.2.p.c.451.5 | 32 | |||
140.3 | odd | 12 | 700.2.t.c.199.8 | 32 | |||
140.59 | even | 6 | 700.2.p.c.451.16 | 32 | |||
140.87 | odd | 12 | 700.2.t.d.199.9 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.2.o.a.31.1 | ✓ | 32 | 28.3 | even | 6 | inner | |
140.2.o.a.31.12 | yes | 32 | 7.3 | odd | 6 | inner | |
140.2.o.a.131.1 | yes | 32 | 1.1 | even | 1 | trivial | |
140.2.o.a.131.12 | yes | 32 | 4.3 | odd | 2 | inner | |
700.2.p.c.451.5 | 32 | 35.24 | odd | 6 | |||
700.2.p.c.451.16 | 32 | 140.59 | even | 6 | |||
700.2.p.c.551.5 | 32 | 20.19 | odd | 2 | |||
700.2.p.c.551.16 | 32 | 5.4 | even | 2 | |||
700.2.t.c.199.4 | 32 | 35.3 | even | 12 | |||
700.2.t.c.199.8 | 32 | 140.3 | odd | 12 | |||
700.2.t.c.299.4 | 32 | 20.7 | even | 4 | |||
700.2.t.c.299.8 | 32 | 5.2 | odd | 4 | |||
700.2.t.d.199.9 | 32 | 140.87 | odd | 12 | |||
700.2.t.d.199.13 | 32 | 35.17 | even | 12 | |||
700.2.t.d.299.9 | 32 | 5.3 | odd | 4 | |||
700.2.t.d.299.13 | 32 | 20.3 | even | 4 | |||
980.2.g.a.391.21 | 32 | 28.23 | odd | 6 | |||
980.2.g.a.391.22 | 32 | 28.19 | even | 6 | |||
980.2.g.a.391.23 | 32 | 7.5 | odd | 6 | |||
980.2.g.a.391.24 | 32 | 7.2 | even | 3 | |||
980.2.o.f.31.1 | 32 | 28.11 | odd | 6 | |||
980.2.o.f.31.12 | 32 | 7.4 | even | 3 | |||
980.2.o.f.411.1 | 32 | 7.6 | odd | 2 | |||
980.2.o.f.411.12 | 32 | 28.27 | even | 2 |