Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [26,3,Mod(7,26)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(26, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("26.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 26 = 2 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 26.f (of order \(12\), 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: | \(0.708448687337\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 8.0.612074651904.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 74x^{6} + 2067x^{4} - 25778x^{2} + 121801 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(3.90972 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 26.11 |
Dual form | 26.3.f.b.19.1 |
$q$-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 \(\left(\mathbb{Z}/26\mathbb{Z}\right)^\times\).
\(n\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.366025 | − | 1.36603i | 0.183013 | − | 0.683013i | ||||
\(3\) | −1.52185 | − | 2.63592i | −0.507282 | − | 0.878639i | −0.999964 | − | 0.00842924i | \(-0.997317\pi\) |
0.492682 | − | 0.870209i | \(-0.336016\pi\) | |||||||
\(4\) | −1.73205 | − | 1.00000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 4.79174 | + | 4.79174i | 0.958347 | + | 0.958347i | 0.999167 | − | 0.0408192i | \(-0.0129968\pi\) |
−0.0408192 | + | 0.999167i | \(0.512997\pi\) | |||||||
\(6\) | −4.15776 | + | 1.11407i | −0.692960 | + | 0.185678i | ||||
\(7\) | 1.13983 | + | 4.25390i | 0.162833 | + | 0.607700i | 0.998307 | + | 0.0581698i | \(0.0185265\pi\) |
−0.835474 | + | 0.549530i | \(0.814807\pi\) | |||||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | −0.132034 | + | 0.228689i | −0.0146704 | + | 0.0254099i | ||||
\(10\) | 8.29953 | − | 4.79174i | 0.829953 | − | 0.479174i | ||||
\(11\) | −13.8758 | − | 3.71800i | −1.26143 | − | 0.338000i | −0.434690 | − | 0.900580i | \(-0.643142\pi\) |
−0.826743 | + | 0.562580i | \(0.809809\pi\) | |||||||
\(12\) | 6.08739i | 0.507282i | ||||||||
\(13\) | 1.84809 | + | 12.8680i | 0.142161 | + | 0.989844i | ||||
\(14\) | 6.22814 | 0.444867 | ||||||||
\(15\) | 5.33833 | − | 19.9229i | 0.355888 | − | 1.32819i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −20.9957 | − | 12.1219i | −1.23504 | − | 0.713051i | −0.266964 | − | 0.963707i | \(-0.586020\pi\) |
−0.968076 | + | 0.250656i | \(0.919354\pi\) | |||||||
\(18\) | 0.264067 | + | 0.264067i | 0.0146704 | + | 0.0146704i | ||||
\(19\) | 25.4592 | − | 6.82178i | 1.33996 | − | 0.359041i | 0.483540 | − | 0.875322i | \(-0.339351\pi\) |
0.856419 | + | 0.516281i | \(0.172684\pi\) | |||||||
\(20\) | −3.50779 | − | 13.0913i | −0.175390 | − | 0.654563i | ||||
\(21\) | 9.47827 | − | 9.47827i | 0.451346 | − | 0.451346i | ||||
\(22\) | −10.1578 | + | 17.5938i | −0.461716 | + | 0.799716i | ||||
\(23\) | −5.44507 | + | 3.14371i | −0.236742 | + | 0.136683i | −0.613678 | − | 0.789556i | \(-0.710311\pi\) |
0.376936 | + | 0.926239i | \(0.376978\pi\) | |||||||
\(24\) | 8.31552 | + | 2.22814i | 0.346480 | + | 0.0928391i | ||||
\(25\) | 20.9215i | 0.836859i | ||||||||
\(26\) | 18.2544 | + | 2.18546i | 0.702093 | + | 0.0840562i | ||||
\(27\) | −26.5895 | −0.984796 | ||||||||
\(28\) | 2.27966 | − | 8.50779i | 0.0814163 | − | 0.303850i | ||||
\(29\) | 11.1112 | + | 19.2451i | 0.383144 | + | 0.663625i | 0.991510 | − | 0.130032i | \(-0.0415080\pi\) |
−0.608366 | + | 0.793657i | \(0.708175\pi\) | |||||||
\(30\) | −25.2612 | − | 14.5846i | −0.842041 | − | 0.486153i | ||||
\(31\) | −8.59518 | − | 8.59518i | −0.277264 | − | 0.277264i | 0.554752 | − | 0.832016i | \(-0.312813\pi\) |
−0.832016 | + | 0.554752i | \(0.812813\pi\) | |||||||
\(32\) | 5.46410 | − | 1.46410i | 0.170753 | − | 0.0457532i | ||||
\(33\) | 11.3164 | + | 42.2336i | 0.342923 | + | 1.27980i | ||||
\(34\) | −24.2437 | + | 24.2437i | −0.713051 | + | 0.713051i | ||||
\(35\) | −14.9218 | + | 25.8453i | −0.426337 | + | 0.738438i | ||||
\(36\) | 0.457378 | − | 0.264067i | 0.0127049 | − | 0.00733521i | ||||
\(37\) | −6.13936 | − | 1.64504i | −0.165929 | − | 0.0444605i | 0.174898 | − | 0.984587i | \(-0.444040\pi\) |
−0.340827 | + | 0.940126i | \(0.610707\pi\) | |||||||
\(38\) | − | 37.2749i | − | 0.980919i | ||||||
\(39\) | 31.1064 | − | 24.4545i | 0.797599 | − | 0.627038i | ||||
\(40\) | −19.1669 | −0.479174 | ||||||||
\(41\) | 18.8845 | − | 70.4778i | 0.460596 | − | 1.71897i | −0.210495 | − | 0.977595i | \(-0.567508\pi\) |
0.671091 | − | 0.741375i | \(-0.265826\pi\) | |||||||
\(42\) | −9.47827 | − | 16.4168i | −0.225673 | − | 0.390877i | ||||
\(43\) | 26.9695 | + | 15.5708i | 0.627197 | + | 0.362113i | 0.779666 | − | 0.626196i | \(-0.215389\pi\) |
−0.152468 | + | 0.988308i | \(0.548722\pi\) | |||||||
\(44\) | 20.3155 | + | 20.3155i | 0.461716 | + | 0.461716i | ||||
\(45\) | −1.72849 | + | 0.463147i | −0.0384109 | + | 0.0102922i | ||||
\(46\) | 2.30136 | + | 8.58878i | 0.0500295 | + | 0.186713i | ||||
\(47\) | 7.65637 | − | 7.65637i | 0.162902 | − | 0.162902i | −0.620949 | − | 0.783851i | \(-0.713253\pi\) |
0.783851 | + | 0.620949i | \(0.213253\pi\) | |||||||
\(48\) | 6.08739 | − | 10.5437i | 0.126821 | − | 0.219660i | ||||
\(49\) | 25.6388 | − | 14.8026i | 0.523241 | − | 0.302093i | ||||
\(50\) | 28.5793 | + | 7.65779i | 0.571585 | + | 0.153156i | ||||
\(51\) | 73.7905i | 1.44687i | ||||||||
\(52\) | 9.66698 | − | 24.1361i | 0.185903 | − | 0.464155i | ||||
\(53\) | −33.7616 | −0.637010 | −0.318505 | − | 0.947921i | \(-0.603181\pi\) | ||||
−0.318505 | + | 0.947921i | \(0.603181\pi\) | |||||||
\(54\) | −9.73243 | + | 36.3219i | −0.180230 | + | 0.672628i | ||||
\(55\) | −48.6733 | − | 84.3047i | −0.884969 | − | 1.53281i | ||||
\(56\) | −10.7875 | − | 6.22814i | −0.192633 | − | 0.111217i | ||||
\(57\) | −56.7267 | − | 56.7267i | −0.995205 | − | 0.995205i | ||||
\(58\) | 30.3563 | − | 8.13394i | 0.523384 | − | 0.140240i | ||||
\(59\) | 9.77592 | + | 36.4842i | 0.165694 | + | 0.618377i | 0.997951 | + | 0.0639871i | \(0.0203817\pi\) |
−0.832257 | + | 0.554390i | \(0.812952\pi\) | |||||||
\(60\) | −29.1692 | + | 29.1692i | −0.486153 | + | 0.486153i | ||||
\(61\) | 11.5359 | − | 19.9807i | 0.189113 | − | 0.327553i | −0.755842 | − | 0.654754i | \(-0.772772\pi\) |
0.944955 | + | 0.327201i | \(0.106106\pi\) | |||||||
\(62\) | −14.8873 | + | 8.59518i | −0.240118 | + | 0.138632i | ||||
\(63\) | −1.12332 | − | 0.300991i | −0.0178304 | − | 0.00477764i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | −52.8043 | + | 70.5155i | −0.812374 | + | 1.08485i | ||||
\(66\) | 61.8342 | 0.936882 | ||||||||
\(67\) | −27.8544 | + | 103.954i | −0.415737 | + | 1.55155i | 0.367618 | + | 0.929977i | \(0.380173\pi\) |
−0.783355 | + | 0.621575i | \(0.786493\pi\) | |||||||
\(68\) | 24.2437 | + | 41.9914i | 0.356525 | + | 0.617520i | ||||
\(69\) | 16.5731 | + | 9.56849i | 0.240190 | + | 0.138674i | ||||
\(70\) | 29.8436 | + | 29.8436i | 0.426337 | + | 0.426337i | ||||
\(71\) | 2.20861 | − | 0.591796i | 0.0311072 | − | 0.00833516i | −0.243232 | − | 0.969968i | \(-0.578208\pi\) |
0.274339 | + | 0.961633i | \(0.411541\pi\) | |||||||
\(72\) | −0.193311 | − | 0.721445i | −0.00268487 | − | 0.0100201i | ||||
\(73\) | 38.1773 | − | 38.1773i | 0.522977 | − | 0.522977i | −0.395492 | − | 0.918469i | \(-0.629426\pi\) |
0.918469 | + | 0.395492i | \(0.129426\pi\) | |||||||
\(74\) | −4.49432 | + | 7.78440i | −0.0607341 | + | 0.105195i | ||||
\(75\) | 55.1473 | − | 31.8393i | 0.735297 | − | 0.424524i | ||||
\(76\) | −50.9185 | − | 13.6436i | −0.669980 | − | 0.179521i | ||||
\(77\) | − | 63.2639i | − | 0.821610i | ||||||
\(78\) | −22.0197 | − | 51.4430i | −0.282304 | − | 0.659526i | ||||
\(79\) | −19.1299 | −0.242150 | −0.121075 | − | 0.992643i | \(-0.538634\pi\) | ||||
−0.121075 | + | 0.992643i | \(0.538634\pi\) | |||||||
\(80\) | −7.01559 | + | 26.1825i | −0.0876949 | + | 0.327282i | ||||
\(81\) | 41.6534 | + | 72.1459i | 0.514240 | + | 0.890690i | ||||
\(82\) | −89.3622 | − | 51.5933i | −1.08978 | − | 0.629187i | ||||
\(83\) | 34.7720 | + | 34.7720i | 0.418940 | + | 0.418940i | 0.884838 | − | 0.465898i | \(-0.154269\pi\) |
−0.465898 | + | 0.884838i | \(0.654269\pi\) | |||||||
\(84\) | −25.8951 | + | 6.93858i | −0.308275 | + | 0.0826021i | ||||
\(85\) | −42.5210 | − | 158.691i | −0.500247 | − | 1.86695i | ||||
\(86\) | 31.1417 | − | 31.1417i | 0.362113 | − | 0.362113i | ||||
\(87\) | 33.8190 | − | 58.5762i | 0.388724 | − | 0.673290i | ||||
\(88\) | 35.1875 | − | 20.3155i | 0.399858 | − | 0.230858i | ||||
\(89\) | 3.47190 | + | 0.930292i | 0.0390101 | + | 0.0104527i | 0.278271 | − | 0.960503i | \(-0.410239\pi\) |
−0.239261 | + | 0.970955i | \(0.576905\pi\) | |||||||
\(90\) | 2.53068i | 0.0281187i | ||||||||
\(91\) | −52.6325 | + | 22.5289i | −0.578379 | + | 0.247570i | ||||
\(92\) | 12.5748 | 0.136683 | ||||||||
\(93\) | −9.57562 | + | 35.7367i | −0.102964 | + | 0.384266i | ||||
\(94\) | −7.65637 | − | 13.2612i | −0.0814508 | − | 0.141077i | ||||
\(95\) | 154.682 | + | 89.3058i | 1.62823 | + | 0.940061i | ||||
\(96\) | −12.1748 | − | 12.1748i | −0.126821 | − | 0.126821i | ||||
\(97\) | −24.3107 | + | 6.51404i | −0.250626 | + | 0.0671551i | −0.381945 | − | 0.924185i | \(-0.624746\pi\) |
0.131319 | + | 0.991340i | \(0.458079\pi\) | |||||||
\(98\) | −10.8362 | − | 40.4414i | −0.110574 | − | 0.412667i | ||||
\(99\) | 2.68233 | − | 2.68233i | 0.0270943 | − | 0.0270943i | ||||
\(100\) | 20.9215 | − | 36.2371i | 0.209215 | − | 0.362371i | ||||
\(101\) | −131.473 | + | 75.9060i | −1.30171 | + | 0.751545i | −0.980698 | − | 0.195529i | \(-0.937358\pi\) |
−0.321016 | + | 0.947074i | \(0.604024\pi\) | |||||||
\(102\) | 100.800 | + | 27.0092i | 0.988232 | + | 0.264796i | ||||
\(103\) | − | 17.3672i | − | 0.168614i | −0.996440 | − | 0.0843069i | \(-0.973132\pi\) | ||
0.996440 | − | 0.0843069i | \(-0.0268676\pi\) | |||||||
\(104\) | −29.4321 | − | 22.0397i | −0.283001 | − | 0.211921i | ||||
\(105\) | 90.8347 | 0.865093 | ||||||||
\(106\) | −12.3576 | + | 46.1191i | −0.116581 | + | 0.435086i | ||||
\(107\) | −26.5964 | − | 46.0662i | −0.248564 | − | 0.430526i | 0.714564 | − | 0.699571i | \(-0.246625\pi\) |
−0.963128 | + | 0.269045i | \(0.913292\pi\) | |||||||
\(108\) | 46.0544 | + | 26.5895i | 0.426429 | + | 0.246199i | ||||
\(109\) | 53.3779 | + | 53.3779i | 0.489705 | + | 0.489705i | 0.908213 | − | 0.418508i | \(-0.137447\pi\) |
−0.418508 | + | 0.908213i | \(0.637447\pi\) | |||||||
\(110\) | −132.978 | + | 35.6313i | −1.20889 | + | 0.323921i | ||||
\(111\) | 5.00699 | + | 18.6863i | 0.0451080 | + | 0.168345i | ||||
\(112\) | −12.4563 | + | 12.4563i | −0.111217 | + | 0.111217i | ||||
\(113\) | −18.1133 | + | 31.3732i | −0.160295 | + | 0.277639i | −0.934974 | − | 0.354715i | \(-0.884578\pi\) |
0.774680 | + | 0.632354i | \(0.217911\pi\) | |||||||
\(114\) | −98.2535 | + | 56.7267i | −0.861873 | + | 0.497603i | ||||
\(115\) | −41.1552 | − | 11.0275i | −0.357871 | − | 0.0958912i | ||||
\(116\) | − | 44.4447i | − | 0.383144i | ||||||
\(117\) | −3.18677 | − | 1.27637i | −0.0272374 | − | 0.0109091i | ||||
\(118\) | 53.4166 | 0.452683 | ||||||||
\(119\) | 27.6337 | − | 103.130i | 0.232216 | − | 0.866641i | ||||
\(120\) | 29.1692 | + | 50.5225i | 0.243076 | + | 0.421020i | ||||
\(121\) | 73.9242 | + | 42.6801i | 0.610943 | + | 0.352728i | ||||
\(122\) | −23.0717 | − | 23.0717i | −0.189113 | − | 0.189113i | ||||
\(123\) | −214.513 | + | 57.4785i | −1.74401 | + | 0.467305i | ||||
\(124\) | 6.29211 | + | 23.4825i | 0.0507428 | + | 0.189375i | ||||
\(125\) | 19.5432 | − | 19.5432i | 0.156346 | − | 0.156346i | ||||
\(126\) | −0.822324 | + | 1.42431i | −0.00652638 | + | 0.0113040i | ||||
\(127\) | −115.255 | + | 66.5425i | −0.907520 | + | 0.523957i | −0.879632 | − | 0.475654i | \(-0.842211\pi\) |
−0.0278874 | + | 0.999611i | \(0.508878\pi\) | |||||||
\(128\) | −10.9282 | − | 2.92820i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | − | 94.7857i | − | 0.734773i | ||||||
\(130\) | 76.9982 | + | 97.9425i | 0.592294 | + | 0.753404i | ||||
\(131\) | 38.2739 | 0.292167 | 0.146083 | − | 0.989272i | \(-0.453333\pi\) | ||||
0.146083 | + | 0.989272i | \(0.453333\pi\) | |||||||
\(132\) | 22.6329 | − | 84.4671i | 0.171461 | − | 0.639902i | ||||
\(133\) | 58.0383 | + | 100.525i | 0.436378 | + | 0.755829i | ||||
\(134\) | 131.808 | + | 76.0996i | 0.983644 | + | 0.567907i | ||||
\(135\) | −127.410 | − | 127.410i | −0.943777 | − | 0.943777i | ||||
\(136\) | 66.2351 | − | 17.7476i | 0.487023 | − | 0.130497i | ||||
\(137\) | 2.07966 | + | 7.76140i | 0.0151800 | + | 0.0566525i | 0.973100 | − | 0.230381i | \(-0.0739974\pi\) |
−0.957920 | + | 0.287034i | \(0.907331\pi\) | |||||||
\(138\) | 19.1370 | − | 19.1370i | 0.138674 | − | 0.138674i | ||||
\(139\) | 121.981 | − | 211.277i | 0.877558 | − | 1.51998i | 0.0235463 | − | 0.999723i | \(-0.492504\pi\) |
0.854012 | − | 0.520253i | \(-0.174162\pi\) | |||||||
\(140\) | 51.6906 | − | 29.8436i | 0.369219 | − | 0.213169i | ||||
\(141\) | −31.8334 | − | 8.52973i | −0.225769 | − | 0.0604945i | ||||
\(142\) | − | 3.23364i | − | 0.0227721i | ||||||
\(143\) | 22.1994 | − | 185.424i | 0.155241 | − | 1.29667i | ||||
\(144\) | −1.05627 | −0.00733521 | ||||||||
\(145\) | −38.9757 | + | 145.459i | −0.268798 | + | 1.00317i | ||||
\(146\) | −38.1773 | − | 66.1251i | −0.261488 | − | 0.452911i | ||||
\(147\) | −78.0367 | − | 45.0545i | −0.530862 | − | 0.306493i | ||||
\(148\) | 8.98865 | + | 8.98865i | 0.0607341 | + | 0.0607341i | ||||
\(149\) | 182.687 | − | 48.9509i | 1.22609 | − | 0.328529i | 0.413033 | − | 0.910716i | \(-0.364469\pi\) |
0.813055 | + | 0.582187i | \(0.197803\pi\) | |||||||
\(150\) | −23.3080 | − | 86.9865i | −0.155386 | − | 0.579910i | ||||
\(151\) | −70.5995 | + | 70.5995i | −0.467546 | + | 0.467546i | −0.901119 | − | 0.433573i | \(-0.857253\pi\) |
0.433573 | + | 0.901119i | \(0.357253\pi\) | |||||||
\(152\) | −37.2749 | + | 64.5620i | −0.245230 | + | 0.424750i | ||||
\(153\) | 5.54428 | − | 3.20099i | 0.0362371 | − | 0.0209215i | ||||
\(154\) | −86.4202 | − | 23.1562i | −0.561170 | − | 0.150365i | ||||
\(155\) | − | 82.3717i | − | 0.531430i | ||||||
\(156\) | −78.3323 | + | 11.2500i | −0.502130 | + | 0.0721157i | ||||
\(157\) | 176.794 | 1.12608 | 0.563038 | − | 0.826431i | \(-0.309632\pi\) | ||||
0.563038 | + | 0.826431i | \(0.309632\pi\) | |||||||
\(158\) | −7.00202 | + | 26.1319i | −0.0443166 | + | 0.165392i | ||||
\(159\) | 51.3799 | + | 88.9926i | 0.323144 | + | 0.559702i | ||||
\(160\) | 33.1981 | + | 19.1669i | 0.207488 | + | 0.119793i | ||||
\(161\) | −19.5795 | − | 19.5795i | −0.121612 | − | 0.121612i | ||||
\(162\) | 113.799 | − | 30.4924i | 0.702465 | − | 0.188225i | ||||
\(163\) | 31.3812 | + | 117.116i | 0.192523 | + | 0.718504i | 0.992894 | + | 0.119000i | \(0.0379688\pi\) |
−0.800372 | + | 0.599504i | \(0.795365\pi\) | |||||||
\(164\) | −103.187 | + | 103.187i | −0.629187 | + | 0.629187i | ||||
\(165\) | −148.147 | + | 256.598i | −0.897858 | + | 1.55514i | ||||
\(166\) | 60.2269 | − | 34.7720i | 0.362813 | − | 0.209470i | ||||
\(167\) | 286.599 | + | 76.7939i | 1.71616 | + | 0.459844i | 0.976921 | − | 0.213601i | \(-0.0685191\pi\) |
0.739238 | + | 0.673444i | \(0.235186\pi\) | |||||||
\(168\) | 37.9131i | 0.225673i | ||||||||
\(169\) | −162.169 | + | 47.5624i | −0.959581 | + | 0.281434i | ||||
\(170\) | −232.339 | −1.36670 | ||||||||
\(171\) | −1.80141 | + | 6.72295i | −0.0105346 | + | 0.0393155i | ||||
\(172\) | −31.1417 | − | 53.9390i | −0.181056 | − | 0.313599i | ||||
\(173\) | −241.179 | − | 139.245i | −1.39410 | − | 0.804884i | −0.400334 | − | 0.916369i | \(-0.631106\pi\) |
−0.993766 | + | 0.111485i | \(0.964439\pi\) | |||||||
\(174\) | −67.6380 | − | 67.6380i | −0.388724 | − | 0.388724i | ||||
\(175\) | −88.9978 | + | 23.8469i | −0.508559 | + | 0.136268i | ||||
\(176\) | −14.8720 | − | 55.5030i | −0.0845000 | − | 0.315358i | ||||
\(177\) | 81.2919 | − | 81.2919i | 0.459276 | − | 0.459276i | ||||
\(178\) | 2.54160 | − | 4.40219i | 0.0142787 | − | 0.0247314i | ||||
\(179\) | 68.2036 | − | 39.3774i | 0.381026 | − | 0.219985i | −0.297239 | − | 0.954803i | \(-0.596066\pi\) |
0.678264 | + | 0.734818i | \(0.262732\pi\) | |||||||
\(180\) | 3.45698 | + | 0.926294i | 0.0192054 | + | 0.00514608i | ||||
\(181\) | 200.758i | 1.10916i | 0.832130 | + | 0.554581i | \(0.187121\pi\) | ||||
−0.832130 | + | 0.554581i | \(0.812879\pi\) | |||||||
\(182\) | 11.5102 | + | 80.1435i | 0.0632427 | + | 0.440349i | ||||
\(183\) | −70.2233 | −0.383734 | ||||||||
\(184\) | 4.60271 | − | 17.1776i | 0.0250147 | − | 0.0933563i | ||||
\(185\) | −21.5356 | − | 37.3008i | −0.116409 | − | 0.201626i | ||||
\(186\) | 45.3123 | + | 26.1611i | 0.243615 | + | 0.140651i | ||||
\(187\) | 246.262 | + | 246.262i | 1.31691 | + | 1.31691i | ||||
\(188\) | −20.9176 | + | 5.60485i | −0.111264 | + | 0.0298131i | ||||
\(189\) | −30.3075 | − | 113.109i | −0.160357 | − | 0.598460i | ||||
\(190\) | 178.612 | − | 178.612i | 0.940061 | − | 0.940061i | ||||
\(191\) | −20.2650 | + | 35.1001i | −0.106100 | + | 0.183770i | −0.914187 | − | 0.405293i | \(-0.867170\pi\) |
0.808087 | + | 0.589063i | \(0.200503\pi\) | |||||||
\(192\) | −21.0873 | + | 12.1748i | −0.109830 | + | 0.0634103i | ||||
\(193\) | −140.149 | − | 37.5529i | −0.726163 | − | 0.194575i | −0.123243 | − | 0.992377i | \(-0.539329\pi\) |
−0.602920 | + | 0.797802i | \(0.705996\pi\) | |||||||
\(194\) | 35.5934i | 0.183471i | ||||||||
\(195\) | 266.233 | + | 31.8740i | 1.36530 | + | 0.163457i | ||||
\(196\) | −59.2103 | −0.302093 | ||||||||
\(197\) | −40.0731 | + | 149.555i | −0.203417 | + | 0.759161i | 0.786510 | + | 0.617578i | \(0.211886\pi\) |
−0.989926 | + | 0.141583i | \(0.954781\pi\) | |||||||
\(198\) | −2.68233 | − | 4.64594i | −0.0135471 | − | 0.0234643i | ||||
\(199\) | −225.470 | − | 130.175i | −1.13302 | − | 0.654147i | −0.188324 | − | 0.982107i | \(-0.560305\pi\) |
−0.944691 | + | 0.327960i | \(0.893639\pi\) | |||||||
\(200\) | −41.8430 | − | 41.8430i | −0.209215 | − | 0.209215i | ||||
\(201\) | 316.404 | − | 84.7802i | 1.57415 | − | 0.421792i | ||||
\(202\) | 55.5671 | + | 207.379i | 0.275084 | + | 1.02663i | ||||
\(203\) | −69.2019 | + | 69.2019i | −0.340896 | + | 0.340896i | ||||
\(204\) | 73.7905 | − | 127.809i | 0.361718 | − | 0.626514i | ||||
\(205\) | 428.200 | − | 247.221i | 2.08878 | − | 1.20596i | ||||
\(206\) | −23.7241 | − | 6.35684i | −0.115165 | − | 0.0308585i | ||||
\(207\) | − | 1.66030i | − | 0.00802079i | ||||||
\(208\) | −40.8798 | + | 32.1379i | −0.196537 | + | 0.154509i | ||||
\(209\) | −378.630 | −1.81162 | ||||||||
\(210\) | 33.2478 | − | 124.083i | 0.158323 | − | 0.590869i | ||||
\(211\) | −208.203 | − | 360.618i | −0.986744 | − | 1.70909i | −0.633913 | − | 0.773404i | \(-0.718552\pi\) |
−0.352831 | − | 0.935687i | \(-0.614781\pi\) | |||||||
\(212\) | 58.4767 | + | 33.7616i | 0.275834 | + | 0.159253i | ||||
\(213\) | −4.92110 | − | 4.92110i | −0.0231037 | − | 0.0231037i | ||||
\(214\) | −72.6626 | + | 19.4699i | −0.339545 | + | 0.0909808i | ||||
\(215\) | 54.6193 | + | 203.842i | 0.254043 | + | 0.948103i | ||||
\(216\) | 53.1790 | − | 53.1790i | 0.246199 | − | 0.246199i | ||||
\(217\) | 26.7660 | − | 46.3600i | 0.123346 | − | 0.213641i | ||||
\(218\) | 92.4532 | − | 53.3779i | 0.424097 | − | 0.244853i | ||||
\(219\) | −158.732 | − | 42.5322i | −0.724805 | − | 0.194211i | ||||
\(220\) | 194.693i | 0.884969i | ||||||||
\(221\) | 117.182 | − | 292.574i | 0.530234 | − | 1.32386i | ||||
\(222\) | 27.3587 | 0.123237 | ||||||||
\(223\) | 52.8772 | − | 197.340i | 0.237118 | − | 0.884935i | −0.740065 | − | 0.672535i | \(-0.765205\pi\) |
0.977183 | − | 0.212400i | \(-0.0681279\pi\) | |||||||
\(224\) | 12.4563 | + | 21.5749i | 0.0556084 | + | 0.0963165i | ||||
\(225\) | −4.78451 | − | 2.76234i | −0.0212645 | − | 0.0122771i | ||||
\(226\) | 36.2266 | + | 36.2266i | 0.160295 | + | 0.160295i | ||||
\(227\) | −107.452 | + | 28.7917i | −0.473358 | + | 0.126836i | −0.487608 | − | 0.873063i | \(-0.662130\pi\) |
0.0142503 | + | 0.999898i | \(0.495464\pi\) | |||||||
\(228\) | 41.5268 | + | 154.980i | 0.182135 | + | 0.679738i | ||||
\(229\) | −212.309 | + | 212.309i | −0.927114 | + | 0.927114i | −0.997519 | − | 0.0704045i | \(-0.977571\pi\) |
0.0704045 | + | 0.997519i | \(0.477571\pi\) | |||||||
\(230\) | −30.1277 | + | 52.1826i | −0.130990 | + | 0.226881i | ||||
\(231\) | −166.758 | + | 96.2780i | −0.721898 | + | 0.416788i | ||||
\(232\) | −60.7126 | − | 16.2679i | −0.261692 | − | 0.0701202i | ||||
\(233\) | 46.5826i | 0.199925i | 0.994991 | + | 0.0999627i | \(0.0318723\pi\) | ||||
−0.994991 | + | 0.0999627i | \(0.968128\pi\) | |||||||
\(234\) | −2.90999 | + | 3.88603i | −0.0124359 | + | 0.0166070i | ||||
\(235\) | 73.3746 | 0.312233 | ||||||||
\(236\) | 19.5518 | − | 72.9685i | 0.0828468 | − | 0.309188i | ||||
\(237\) | 29.1127 | + | 50.4247i | 0.122839 | + | 0.212763i | ||||
\(238\) | −130.764 | − | 75.4966i | −0.549429 | − | 0.317213i | ||||
\(239\) | 138.309 | + | 138.309i | 0.578698 | + | 0.578698i | 0.934544 | − | 0.355847i | \(-0.115808\pi\) |
−0.355847 | + | 0.934544i | \(0.615808\pi\) | |||||||
\(240\) | 79.6916 | − | 21.3533i | 0.332048 | − | 0.0889721i | ||||
\(241\) | −58.1972 | − | 217.195i | −0.241482 | − | 0.901223i | −0.975119 | − | 0.221682i | \(-0.928845\pi\) |
0.733637 | − | 0.679541i | \(-0.237821\pi\) | |||||||
\(242\) | 85.3603 | − | 85.3603i | 0.352728 | − | 0.352728i | ||||
\(243\) | 7.12754 | − | 12.3453i | 0.0293314 | − | 0.0508035i | ||||
\(244\) | −39.9614 | + | 23.0717i | −0.163776 | + | 0.0945563i | ||||
\(245\) | 193.784 | + | 51.9244i | 0.790957 | + | 0.211936i | ||||
\(246\) | 314.068i | 1.27670i | ||||||||
\(247\) | 134.833 | + | 315.001i | 0.545884 | + | 1.27531i | ||||
\(248\) | 34.3807 | 0.138632 | ||||||||
\(249\) | 38.7384 | − | 144.574i | 0.155576 | − | 0.580618i | ||||
\(250\) | −19.5432 | − | 33.8498i | −0.0781728 | − | 0.135399i | ||||
\(251\) | 3.02255 | + | 1.74507i | 0.0120420 | + | 0.00695247i | 0.506009 | − | 0.862528i | \(-0.331120\pi\) |
−0.493967 | + | 0.869481i | \(0.664454\pi\) | |||||||
\(252\) | 1.64465 | + | 1.64465i | 0.00652638 | + | 0.00652638i | ||||
\(253\) | 87.2427 | − | 23.3766i | 0.344833 | − | 0.0923977i | ||||
\(254\) | 48.7125 | + | 181.798i | 0.191781 | + | 0.715738i | ||||
\(255\) | −353.584 | + | 353.584i | −1.38661 | + | 1.38661i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −160.572 | + | 92.7065i | −0.624795 | + | 0.360726i | −0.778734 | − | 0.627355i | \(-0.784138\pi\) |
0.153938 | + | 0.988080i | \(0.450804\pi\) | |||||||
\(258\) | −129.480 | − | 34.6940i | −0.501859 | − | 0.134473i | ||||
\(259\) | − | 27.9913i | − | 0.108074i | ||||||
\(260\) | 161.975 | − | 69.3320i | 0.622982 | − | 0.266662i | ||||
\(261\) | −5.86820 | −0.0224835 | ||||||||
\(262\) | 14.0092 | − | 52.2831i | 0.0534703 | − | 0.199554i | ||||
\(263\) | 93.6758 | + | 162.251i | 0.356182 | + | 0.616925i | 0.987319 | − | 0.158746i | \(-0.0507451\pi\) |
−0.631138 | + | 0.775671i | \(0.717412\pi\) | |||||||
\(264\) | −107.100 | − | 61.8342i | −0.405682 | − | 0.234221i | ||||
\(265\) | −161.776 | − | 161.776i | −0.610477 | − | 0.610477i | ||||
\(266\) | 158.564 | − | 42.4870i | 0.596104 | − | 0.159726i | ||||
\(267\) | −2.83152 | − | 10.5674i | −0.0106050 | − | 0.0395782i | ||||
\(268\) | 152.199 | − | 152.199i | 0.567907 | − | 0.567907i | ||||
\(269\) | −172.006 | + | 297.923i | −0.639427 | + | 1.10752i | 0.346132 | + | 0.938186i | \(0.387495\pi\) |
−0.985559 | + | 0.169334i | \(0.945838\pi\) | |||||||
\(270\) | −220.680 | + | 127.410i | −0.817335 | + | 0.471888i | ||||
\(271\) | 23.4296 | + | 6.27795i | 0.0864562 | + | 0.0231659i | 0.301788 | − | 0.953375i | \(-0.402417\pi\) |
−0.215332 | + | 0.976541i | \(0.569083\pi\) | |||||||
\(272\) | − | 96.9749i | − | 0.356525i | ||||||
\(273\) | 139.483 | + | 104.449i | 0.510926 | + | 0.382598i | ||||
\(274\) | 11.3635 | 0.0414725 | ||||||||
\(275\) | 77.7860 | − | 290.301i | 0.282858 | − | 1.05564i | ||||
\(276\) | −19.1370 | − | 33.1462i | −0.0693369 | − | 0.120095i | ||||
\(277\) | −428.588 | − | 247.446i | −1.54725 | − | 0.893306i | −0.998350 | − | 0.0574180i | \(-0.981713\pi\) |
−0.548901 | − | 0.835888i | \(-0.684953\pi\) | |||||||
\(278\) | −243.961 | − | 243.961i | −0.877558 | − | 0.877558i | ||||
\(279\) | 3.10048 | − | 0.830770i | 0.0111128 | − | 0.00297767i | ||||
\(280\) | −21.8470 | − | 81.5342i | −0.0780251 | − | 0.291194i | ||||
\(281\) | 145.653 | − | 145.653i | 0.518337 | − | 0.518337i | −0.398731 | − | 0.917068i | \(-0.630549\pi\) |
0.917068 | + | 0.398731i | \(0.130549\pi\) | |||||||
\(282\) | −23.3036 | + | 40.3631i | −0.0826370 | + | 0.143132i | ||||
\(283\) | 372.577 | − | 215.107i | 1.31653 | − | 0.760096i | 0.333357 | − | 0.942801i | \(-0.391818\pi\) |
0.983168 | + | 0.182704i | \(0.0584851\pi\) | |||||||
\(284\) | −4.41723 | − | 1.18359i | −0.0155536 | − | 0.00416758i | ||||
\(285\) | − | 543.639i | − | 1.90750i | ||||||
\(286\) | −245.168 | − | 98.1949i | −0.857232 | − | 0.343339i | ||||
\(287\) | 321.330 | 1.11962 | ||||||||
\(288\) | −0.386621 | + | 1.44289i | −0.00134244 | + | 0.00501004i | ||||
\(289\) | 149.379 | + | 258.732i | 0.516883 | + | 0.895267i | ||||
\(290\) | 184.435 | + | 106.484i | 0.635983 | + | 0.367185i | ||||
\(291\) | 54.1677 | + | 54.1677i | 0.186143 | + | 0.186143i | ||||
\(292\) | −104.302 | + | 27.9477i | −0.357200 | + | 0.0957114i | ||||
\(293\) | 24.5565 | + | 91.6460i | 0.0838105 | + | 0.312785i | 0.995086 | − | 0.0990115i | \(-0.0315681\pi\) |
−0.911276 | + | 0.411797i | \(0.864901\pi\) | |||||||
\(294\) | −90.1090 | + | 90.1090i | −0.306493 | + | 0.306493i | ||||
\(295\) | −127.979 | + | 221.667i | −0.433828 | + | 0.751412i | ||||
\(296\) | 15.5688 | − | 8.98865i | 0.0525973 | − | 0.0303671i | ||||
\(297\) | 368.950 | + | 98.8597i | 1.24225 | + | 0.332861i | ||||
\(298\) | − | 267.473i | − | 0.897559i | ||||||
\(299\) | −50.5161 | − | 64.2571i | −0.168950 | − | 0.214907i | ||||
\(300\) | −127.357 | −0.424524 | ||||||||
\(301\) | −35.4962 | + | 132.474i | −0.117927 | + | 0.440111i | ||||
\(302\) | 70.5995 | + | 122.282i | 0.233773 | + | 0.404907i | ||||
\(303\) | 400.164 | + | 231.035i | 1.32067 | + | 0.762490i | ||||
\(304\) | 74.5498 | + | 74.5498i | 0.245230 | + | 0.245230i | ||||
\(305\) | 151.019 | − | 40.4655i | 0.495145 | − | 0.132674i | ||||
\(306\) | −2.34329 | − | 8.74526i | −0.00765780 | − | 0.0285793i | ||||
\(307\) | 210.306 | − | 210.306i | 0.685035 | − | 0.685035i | −0.276095 | − | 0.961130i | \(-0.589041\pi\) |
0.961130 | + | 0.276095i | \(0.0890406\pi\) | |||||||
\(308\) | −63.2639 | + | 109.576i | −0.205402 | + | 0.355767i | ||||
\(309\) | −45.7785 | + | 26.4302i | −0.148151 | + | 0.0855347i | ||||
\(310\) | −112.522 | − | 30.1501i | −0.362974 | − | 0.0972585i | ||||
\(311\) | 246.623i | 0.793001i | 0.918035 | + | 0.396500i | \(0.129775\pi\) | ||||
−0.918035 | + | 0.396500i | \(0.870225\pi\) | |||||||
\(312\) | −13.3038 | + | 111.122i | −0.0426402 | + | 0.356159i | ||||
\(313\) | −118.526 | −0.378679 | −0.189339 | − | 0.981912i | \(-0.560635\pi\) | ||||
−0.189339 | + | 0.981912i | \(0.560635\pi\) | |||||||
\(314\) | 64.7111 | − | 241.505i | 0.206086 | − | 0.769125i | ||||
\(315\) | −3.94036 | − | 6.82490i | −0.0125091 | − | 0.0216664i | ||||
\(316\) | 33.1339 | + | 19.1299i | 0.104854 | + | 0.0605376i | ||||
\(317\) | −284.814 | − | 284.814i | −0.898466 | − | 0.898466i | 0.0968348 | − | 0.995300i | \(-0.469128\pi\) |
−0.995300 | + | 0.0968348i | \(0.969128\pi\) | |||||||
\(318\) | 140.372 | − | 37.6127i | 0.441423 | − | 0.118279i | ||||
\(319\) | −82.6227 | − | 308.352i | −0.259005 | − | 0.966621i | ||||
\(320\) | 38.3339 | − | 38.3339i | 0.119793 | − | 0.119793i | ||||
\(321\) | −80.9512 | + | 140.212i | −0.252184 | + | 0.436796i | ||||
\(322\) | −33.9126 | + | 19.5795i | −0.105319 | + | 0.0608058i | ||||
\(323\) | −617.227 | − | 165.385i | −1.91092 | − | 0.512029i | ||||
\(324\) | − | 166.614i | − | 0.514240i | ||||||
\(325\) | −269.217 | + | 38.6648i | −0.828360 | + | 0.118969i | ||||
\(326\) | 171.470 | 0.525981 | ||||||||
\(327\) | 59.4666 | − | 221.933i | 0.181855 | − | 0.678693i | ||||
\(328\) | 103.187 | + | 178.724i | 0.314593 | + | 0.544892i | ||||
\(329\) | 41.2964 | + | 23.8425i | 0.125521 | + | 0.0724695i | ||||
\(330\) | 296.293 | + | 296.293i | 0.897858 | + | 0.897858i | ||||
\(331\) | −433.118 | + | 116.054i | −1.30851 | + | 0.350615i | −0.844663 | − | 0.535299i | \(-0.820199\pi\) |
−0.463850 | + | 0.885914i | \(0.653532\pi\) | |||||||
\(332\) | −25.4549 | − | 94.9990i | −0.0766714 | − | 0.286141i | ||||
\(333\) | 1.18680 | − | 1.18680i | 0.00356398 | − | 0.00356398i | ||||
\(334\) | 209.805 | − | 363.392i | 0.628158 | − | 1.08800i | ||||
\(335\) | −631.591 | + | 364.649i | −1.88535 | + | 1.08850i | ||||
\(336\) | 51.7902 | + | 13.8772i | 0.154138 | + | 0.0413010i | ||||
\(337\) | 474.455i | 1.40788i | 0.710260 | + | 0.703939i | \(0.248577\pi\) | ||||
−0.710260 | + | 0.703939i | \(0.751423\pi\) | |||||||
\(338\) | 5.61338 | + | 238.936i | 0.0166076 | + | 0.706912i | ||||
\(339\) | 110.263 | 0.325259 | ||||||||
\(340\) | −85.0420 | + | 317.381i | −0.250124 | + | 0.933474i | ||||
\(341\) | 87.3078 | + | 151.222i | 0.256035 | + | 0.443465i | ||||
\(342\) | 8.52436 | + | 4.92154i | 0.0249250 | + | 0.0143905i | ||||
\(343\) | 244.782 | + | 244.782i | 0.713650 | + | 0.713650i | ||||
\(344\) | −85.0807 | + | 22.7973i | −0.247328 | + | 0.0662712i | ||||
\(345\) | 33.5643 | + | 125.264i | 0.0972878 | + | 0.363083i | ||||
\(346\) | −278.490 | + | 278.490i | −0.804884 | + | 0.804884i | ||||
\(347\) | 266.818 | − | 462.142i | 0.768927 | − | 1.33182i | −0.169218 | − | 0.985579i | \(-0.554124\pi\) |
0.938145 | − | 0.346242i | \(-0.112543\pi\) | |||||||
\(348\) | −117.152 | + | 67.6380i | −0.336645 | + | 0.194362i | ||||
\(349\) | 260.973 | + | 69.9275i | 0.747774 | + | 0.200365i | 0.612531 | − | 0.790447i | \(-0.290152\pi\) |
0.135244 | + | 0.990812i | \(0.456818\pi\) | |||||||
\(350\) | 130.302i | 0.372291i | ||||||||
\(351\) | −49.1398 | − | 342.153i | −0.140000 | − | 0.974794i | ||||
\(352\) | −81.2621 | −0.230858 | ||||||||
\(353\) | −91.3587 | + | 340.955i | −0.258806 | + | 0.965879i | 0.707127 | + | 0.707087i | \(0.249991\pi\) |
−0.965933 | + | 0.258792i | \(0.916676\pi\) | |||||||
\(354\) | −81.2919 | − | 140.802i | −0.229638 | − | 0.397745i | ||||
\(355\) | 13.4188 | + | 7.74736i | 0.0377995 | + | 0.0218236i | ||||
\(356\) | −5.08321 | − | 5.08321i | −0.0142787 | − | 0.0142787i | ||||
\(357\) | −313.897 | + | 84.1085i | −0.879263 | + | 0.235598i | ||||
\(358\) | −28.8262 | − | 107.581i | −0.0805202 | − | 0.300505i | ||||
\(359\) | 116.092 | − | 116.092i | 0.323375 | − | 0.323375i | −0.526685 | − | 0.850060i | \(-0.676565\pi\) |
0.850060 | + | 0.526685i | \(0.176565\pi\) | |||||||
\(360\) | 2.53068 | − | 4.38327i | 0.00702967 | − | 0.0121758i | ||||
\(361\) | 289.001 | − | 166.855i | 0.800556 | − | 0.462201i | ||||
\(362\) | 274.241 | + | 73.4826i | 0.757572 | + | 0.202991i | ||||
\(363\) | − | 259.810i | − | 0.715731i | ||||||
\(364\) | 113.691 | + | 13.6114i | 0.312338 | + | 0.0373938i | ||||
\(365\) | 365.871 | 1.00239 | ||||||||
\(366\) | −25.7035 | + | 95.9268i | −0.0702282 | + | 0.262095i | ||||
\(367\) | −343.162 | − | 594.375i | −0.935047 | − | 1.61955i | −0.774550 | − | 0.632513i | \(-0.782024\pi\) |
−0.160497 | − | 0.987036i | \(-0.551310\pi\) | |||||||
\(368\) | −21.7803 | − | 12.5748i | −0.0591855 | − | 0.0341708i | ||||
\(369\) | 13.6241 | + | 13.6241i | 0.0369217 | + | 0.0369217i | ||||
\(370\) | −58.8364 | + | 15.7652i | −0.159017 | + | 0.0426086i | ||||
\(371\) | −38.4824 | − | 143.618i | −0.103726 | − | 0.387111i | ||||
\(372\) | 52.3222 | − | 52.3222i | 0.140651 | − | 0.140651i | ||||
\(373\) | 308.636 | − | 534.572i | 0.827441 | − | 1.43317i | −0.0725981 | − | 0.997361i | \(-0.523129\pi\) |
0.900039 | − | 0.435809i | \(-0.143538\pi\) | |||||||
\(374\) | 426.538 | − | 246.262i | 1.14048 | − | 0.658455i | ||||
\(375\) | −81.2560 | − | 21.7725i | −0.216683 | − | 0.0580599i | ||||
\(376\) | 30.6255i | 0.0814508i | ||||||||
\(377\) | −227.111 | + | 178.545i | −0.602417 | + | 0.473594i | ||||
\(378\) | −165.603 | −0.438103 | ||||||||
\(379\) | −138.900 | + | 518.382i | −0.366491 | + | 1.36776i | 0.498898 | + | 0.866661i | \(0.333738\pi\) |
−0.865389 | + | 0.501101i | \(0.832928\pi\) | |||||||
\(380\) | −178.612 | − | 309.364i | −0.470030 | − | 0.814116i | ||||
\(381\) | 350.801 | + | 202.535i | 0.920737 | + | 0.531588i | ||||
\(382\) | 40.5301 | + | 40.5301i | 0.106100 | + | 0.106100i | ||||
\(383\) | −253.061 | + | 67.8074i | −0.660732 | + | 0.177043i | −0.573577 | − | 0.819152i | \(-0.694444\pi\) |
−0.0871559 | + | 0.996195i | \(0.527778\pi\) | |||||||
\(384\) | 8.91255 | + | 33.2621i | 0.0232098 | + | 0.0866200i | ||||
\(385\) | 303.144 | − | 303.144i | 0.787387 | − | 0.787387i | ||||
\(386\) | −102.596 | + | 177.702i | −0.265794 | + | 0.460369i | ||||
\(387\) | −7.12176 | + | 4.11175i | −0.0184025 | + | 0.0106247i | ||||
\(388\) | 48.6215 | + | 13.0281i | 0.125313 | + | 0.0335775i | ||||
\(389\) | − | 184.591i | − | 0.474527i | −0.971445 | − | 0.237264i | \(-0.923749\pi\) | ||
0.971445 | − | 0.237264i | \(-0.0762505\pi\) | |||||||
\(390\) | 140.989 | − | 352.014i | 0.361510 | − | 0.902601i | ||||
\(391\) | 152.431 | 0.389848 | ||||||||
\(392\) | −21.6725 | + | 80.8828i | −0.0552869 | + | 0.206334i | ||||
\(393\) | −58.2469 | − | 100.887i | −0.148211 | − | 0.256709i | ||||
\(394\) | 189.628 | + | 109.482i | 0.481289 | + | 0.277872i | ||||
\(395\) | −91.6653 | − | 91.6653i | −0.232064 | − | 0.232064i | ||||
\(396\) | −7.32827 | + | 1.96360i | −0.0185057 | + | 0.00495860i | ||||
\(397\) | 65.7046 | + | 245.213i | 0.165503 | + | 0.617664i | 0.997976 | + | 0.0635986i | \(0.0202578\pi\) |
−0.832473 | + | 0.554066i | \(0.813076\pi\) | |||||||
\(398\) | −260.350 | + | 260.350i | −0.654147 | + | 0.654147i | ||||
\(399\) | 176.651 | − | 305.968i | 0.442734 | − | 0.766838i | ||||
\(400\) | −72.4741 | + | 41.8430i | −0.181185 | + | 0.104607i | ||||
\(401\) | −261.805 | − | 70.1504i | −0.652880 | − | 0.174939i | −0.0828492 | − | 0.996562i | \(-0.526402\pi\) |
−0.570031 | + | 0.821623i | \(0.693069\pi\) | |||||||
\(402\) | − | 463.248i | − | 1.15236i | ||||||
\(403\) | 94.7178 | − | 126.487i | 0.235032 | − | 0.313864i | ||||
\(404\) | 303.624 | 0.751545 | ||||||||
\(405\) | −146.112 | + | 545.296i | −0.360770 | + | 1.34641i | ||||
\(406\) | 69.2019 | + | 119.861i | 0.170448 | + | 0.295225i | ||||
\(407\) | 79.0721 | + | 45.6523i | 0.194280 | + | 0.112168i | ||||
\(408\) | −147.581 | − | 147.581i | −0.361718 | − | 0.361718i | ||||
\(409\) | 152.496 | − | 40.8612i | 0.372851 | − | 0.0999051i | −0.0675274 | − | 0.997717i | \(-0.521511\pi\) |
0.440378 | + | 0.897812i | \(0.354844\pi\) | |||||||
\(410\) | −180.979 | − | 675.422i | −0.441411 | − | 1.64737i | ||||
\(411\) | 17.2935 | − | 17.2935i | 0.0420766 | − | 0.0420766i | ||||
\(412\) | −17.3672 | + | 30.0809i | −0.0421534 | + | 0.0730119i | ||||
\(413\) | −144.057 | + | 83.1715i | −0.348807 | + | 0.201384i | ||||
\(414\) | −2.26802 | − | 0.607713i | −0.00547830 | − | 0.00146791i | ||||
\(415\) | 333.237i | 0.802980i | ||||||||
\(416\) | 28.9382 | + | 67.6061i | 0.0695629 | + | 0.162515i | ||||
\(417\) | −742.543 | −1.78068 | ||||||||
\(418\) | −138.588 | + | 517.218i | −0.331550 | + | 1.23736i | ||||
\(419\) | 326.238 | + | 565.061i | 0.778611 | + | 1.34859i | 0.932743 | + | 0.360543i | \(0.117409\pi\) |
−0.154132 | + | 0.988050i | \(0.549258\pi\) | |||||||
\(420\) | −157.330 | − | 90.8347i | −0.374596 | − | 0.216273i | ||||
\(421\) | 294.576 | + | 294.576i | 0.699704 | + | 0.699704i | 0.964347 | − | 0.264642i | \(-0.0852538\pi\) |
−0.264642 | + | 0.964347i | \(0.585254\pi\) | |||||||
\(422\) | −568.821 | + | 152.415i | −1.34792 | + | 0.361173i | ||||
\(423\) | 0.740029 | + | 2.76183i | 0.00174948 | + | 0.00652914i | ||||
\(424\) | 67.5231 | − | 67.5231i | 0.159253 | − | 0.159253i | ||||
\(425\) | 253.607 | − | 439.261i | 0.596723 | − | 1.03355i | ||||
\(426\) | −8.52359 | + | 4.92110i | −0.0200084 | + | 0.0115519i | ||||
\(427\) | 98.1448 | + | 26.2978i | 0.229847 | + | 0.0615874i | ||||
\(428\) | 106.385i | 0.248564i | ||||||||
\(429\) | −522.546 | + | 223.671i | −1.21806 | + | 0.521378i | ||||
\(430\) | 298.445 | 0.694059 | ||||||||
\(431\) | 18.2792 | − | 68.2190i | 0.0424112 | − | 0.158281i | −0.941473 | − | 0.337089i | \(-0.890558\pi\) |
0.983884 | + | 0.178808i | \(0.0572243\pi\) | |||||||
\(432\) | −53.1790 | − | 92.1087i | −0.123100 | − | 0.213215i | ||||
\(433\) | 404.363 | + | 233.459i | 0.933864 | + | 0.539167i | 0.888032 | − | 0.459782i | \(-0.152073\pi\) |
0.0458326 | + | 0.998949i | \(0.485406\pi\) | |||||||
\(434\) | −53.5320 | − | 53.5320i | −0.123346 | − | 0.123346i | ||||
\(435\) | 442.734 | − | 118.630i | 1.01778 | − | 0.272713i | ||||
\(436\) | −39.0753 | − | 145.831i | −0.0896223 | − | 0.334475i | ||||
\(437\) | −117.182 | + | 117.182i | −0.268150 | + | 0.268150i | ||||
\(438\) | −116.200 | + | 201.264i | −0.265297 | + | 0.459508i | ||||
\(439\) | 103.577 | − | 59.8002i | 0.235938 | − | 0.136219i | −0.377370 | − | 0.926063i | \(-0.623172\pi\) |
0.613309 | + | 0.789843i | \(0.289838\pi\) | |||||||
\(440\) | 265.956 | + | 71.2627i | 0.604445 | + | 0.161961i | ||||
\(441\) | 7.81775i | 0.0177273i | ||||||||
\(442\) | −356.772 | − | 267.163i | −0.807177 | − | 0.604441i | ||||
\(443\) | −56.7213 | −0.128039 | −0.0640195 | − | 0.997949i | \(-0.520392\pi\) | ||||
−0.0640195 | + | 0.997949i | \(0.520392\pi\) | |||||||
\(444\) | 10.0140 | − | 37.3727i | 0.0225540 | − | 0.0841727i | ||||
\(445\) | 12.1787 | + | 21.0941i | 0.0273679 | + | 0.0474025i | ||||
\(446\) | −250.218 | − | 144.463i | −0.561026 | − | 0.323909i | ||||
\(447\) | −407.052 | − | 407.052i | −0.910631 | − | 0.910631i | ||||
\(448\) | 34.0312 | − | 9.11863i | 0.0759625 | − | 0.0203541i | ||||
\(449\) | 47.8299 | + | 178.504i | 0.106525 | + | 0.397558i | 0.998514 | − | 0.0545000i | \(-0.0173565\pi\) |
−0.891988 | + | 0.452058i | \(0.850690\pi\) | |||||||
\(450\) | −5.52468 | + | 5.52468i | −0.0122771 | + | 0.0122771i | ||||
\(451\) | −524.072 | + | 907.720i | −1.16202 | + | 2.01268i | ||||
\(452\) | 62.7464 | − | 36.2266i | 0.138819 | − | 0.0801474i | ||||
\(453\) | 293.536 | + | 78.6527i | 0.647982 | + | 0.173626i | ||||
\(454\) | 157.321i | 0.346522i | ||||||||
\(455\) | −360.153 | − | 144.249i | −0.791546 | − | 0.317030i | ||||
\(456\) | 226.907 | 0.497603 | ||||||||
\(457\) | 76.6418 | − | 286.031i | 0.167706 | − | 0.625889i | −0.829973 | − | 0.557803i | \(-0.811644\pi\) |
0.997680 | − | 0.0680852i | \(-0.0216890\pi\) | |||||||
\(458\) | 212.309 | + | 367.730i | 0.463557 | + | 0.802904i | ||||
\(459\) | 558.265 | + | 322.314i | 1.21626 | + | 0.702210i | ||||
\(460\) | 60.2553 | + | 60.2553i | 0.130990 | + | 0.130990i | ||||
\(461\) | 596.206 | − | 159.753i | 1.29329 | − | 0.346535i | 0.454379 | − | 0.890808i | \(-0.349861\pi\) |
0.838908 | + | 0.544273i | \(0.183194\pi\) | |||||||
\(462\) | 70.4804 | + | 263.036i | 0.152555 | + | 0.569343i | ||||
\(463\) | 198.699 | − | 198.699i | 0.429156 | − | 0.429156i | −0.459185 | − | 0.888341i | \(-0.651858\pi\) |
0.888341 | + | 0.459185i | \(0.151858\pi\) | |||||||
\(464\) | −44.4447 | + | 76.9805i | −0.0957860 | + | 0.165906i | ||||
\(465\) | −217.125 | + | 125.357i | −0.466935 | + | 0.269585i | ||||
\(466\) | 63.6330 | + | 17.0504i | 0.136552 | + | 0.0365889i | ||||
\(467\) | − | 522.015i | − | 1.11781i | −0.829233 | − | 0.558903i | \(-0.811223\pi\) | ||
0.829233 | − | 0.558903i | \(-0.188777\pi\) | |||||||
\(468\) | 4.24329 | + | 5.39751i | 0.00906685 | + | 0.0115331i | ||||
\(469\) | −473.959 | −1.01057 | ||||||||
\(470\) | 26.8570 | − | 100.232i | 0.0571425 | − | 0.213259i | ||||
\(471\) | −269.053 | − | 466.014i | −0.571239 | − | 0.989414i | ||||
\(472\) | −92.5203 | − | 53.4166i | −0.196018 | − | 0.113171i | ||||
\(473\) | −316.330 | − | 316.330i | −0.668773 | − | 0.668773i | ||||
\(474\) | 79.5374 | − | 21.3120i | 0.167801 | − | 0.0449620i | ||||
\(475\) | 142.722 | + | 532.645i | 0.300467 | + | 1.12136i | ||||
\(476\) | −150.993 | + | 150.993i | −0.317213 | + | 0.317213i | ||||
\(477\) | 4.45766 | − | 7.72090i | 0.00934520 | − | 0.0161864i | ||||
\(478\) | 239.558 | − | 138.309i | 0.501167 | − | 0.289349i | ||||
\(479\) | 327.970 | + | 87.8794i | 0.684698 | + | 0.183464i | 0.584367 | − | 0.811490i | \(-0.301343\pi\) |
0.100331 | + | 0.994954i | \(0.468010\pi\) | |||||||
\(480\) | − | 116.677i | − | 0.243076i | ||||||
\(481\) | 9.82218 | − | 82.0413i | 0.0204203 | − | 0.170564i | ||||
\(482\) | −317.995 | −0.659741 | ||||||||
\(483\) | −21.8129 | + | 81.4067i | −0.0451612 | + | 0.168544i | ||||
\(484\) | −85.3603 | − | 147.848i | −0.176364 | − | 0.305472i | ||||
\(485\) | −147.704 | − | 85.2771i | −0.304545 | − | 0.175829i | ||||
\(486\) | −14.2551 | − | 14.2551i | −0.0293314 | − | 0.0293314i | ||||
\(487\) | 208.431 | − | 55.8489i | 0.427990 | − | 0.114679i | −0.0383927 | − | 0.999263i | \(-0.512224\pi\) |
0.466382 | + | 0.884583i | \(0.345557\pi\) | |||||||
\(488\) | 16.8897 | + | 63.0332i | 0.0346100 | + | 0.129166i | ||||
\(489\) | 260.951 | − | 260.951i | 0.533642 | − | 0.533642i | ||||
\(490\) | 141.860 | − | 245.709i | 0.289510 | − | 0.501447i | ||||
\(491\) | −480.847 | + | 277.617i | −0.979322 | + | 0.565412i | −0.902065 | − | 0.431600i | \(-0.857949\pi\) |
−0.0772564 | + | 0.997011i | \(0.524616\pi\) | |||||||
\(492\) | 429.025 | + | 114.957i | 0.872003 | + | 0.233652i | ||||
\(493\) | − | 538.753i | − | 1.09280i | ||||||
\(494\) | 479.652 | − | 68.8874i | 0.970956 | − | 0.139448i | ||||
\(495\) | 25.7061 | 0.0519315 | ||||||||
\(496\) | 12.5842 | − | 46.9649i | 0.0253714 | − | 0.0946874i | ||||
\(497\) | 5.03488 | + | 8.72067i | 0.0101305 | + | 0.0175466i | ||||
\(498\) | −183.312 | − | 105.835i | −0.368097 | − | 0.212521i | ||||
\(499\) | −401.619 | − | 401.619i | −0.804847 | − | 0.804847i | 0.179002 | − | 0.983849i | \(-0.442713\pi\) |
−0.983849 | + | 0.179002i | \(0.942713\pi\) | |||||||
\(500\) | −53.3930 | + | 14.3066i | −0.106786 | + | 0.0286132i | ||||
\(501\) | −233.737 | − | 872.318i | −0.466541 | − | 1.74115i | ||||
\(502\) | 3.49014 | − | 3.49014i | 0.00695247 | − | 0.00695247i | ||||
\(503\) | 196.833 | − | 340.925i | 0.391319 | − | 0.677784i | −0.601305 | − | 0.799020i | \(-0.705352\pi\) |
0.992624 | + | 0.121236i | \(0.0386857\pi\) | |||||||
\(504\) | 2.84861 | − | 1.64465i | 0.00565201 | − | 0.00326319i | ||||
\(505\) | −993.706 | − | 266.263i | −1.96773 | − | 0.527253i | ||||
\(506\) | − | 127.732i | − | 0.252435i | ||||||
\(507\) | 372.167 | + | 355.081i | 0.734057 | + | 0.700358i | ||||
\(508\) | 266.170 | 0.523957 | ||||||||
\(509\) | 113.097 | − | 422.083i | 0.222194 | − | 0.829239i | −0.761315 | − | 0.648382i | \(-0.775446\pi\) |
0.983509 | − | 0.180858i | \(-0.0578873\pi\) | |||||||
\(510\) | 353.584 | + | 612.426i | 0.693303 | + | 1.20084i | ||||
\(511\) | 205.918 | + | 118.887i | 0.402971 | + | 0.232655i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −676.948 | + | 181.388i | −1.31959 | + | 0.353582i | ||||
\(514\) | 67.8659 | + | 253.279i | 0.132035 | + | 0.492761i | ||||
\(515\) | 83.2191 | − | 83.2191i | 0.161591 | − | 0.161591i | ||||
\(516\) | −94.7857 | + | 164.174i | −0.183693 | + | 0.318166i | ||||
\(517\) | −134.704 | + | 77.7716i | −0.260550 | + | 0.150429i | ||||
\(518\) | −38.2368 | − | 10.2455i | −0.0738162 | − | 0.0197790i | ||||
\(519\) | 847.638i | 1.63321i | ||||||||
\(520\) | −35.4223 | − | 246.640i | −0.0681198 | − | 0.474307i | ||||
\(521\) | 947.876 | 1.81934 | 0.909669 | − | 0.415333i | \(-0.136335\pi\) | ||||
0.909669 | + | 0.415333i | \(0.136335\pi\) | |||||||
\(522\) | −2.14791 | + | 8.01611i | −0.00411477 | + | 0.0153565i | ||||
\(523\) | 68.3466 | + | 118.380i | 0.130682 | + | 0.226348i | 0.923940 | − | 0.382538i | \(-0.124950\pi\) |
−0.793258 | + | 0.608886i | \(0.791617\pi\) | |||||||
\(524\) | −66.2923 | − | 38.2739i | −0.126512 | − | 0.0730417i | ||||
\(525\) | 198.299 | + | 198.299i | 0.377713 | + | 0.377713i | ||||
\(526\) | 255.927 | − | 68.5754i | 0.486553 | − | 0.130372i | ||||
\(527\) | 76.2721 | + | 284.651i | 0.144729 | + | 0.540135i | ||||
\(528\) | −123.668 | + | 123.668i | −0.234221 | + | 0.234221i | ||||
\(529\) | −244.734 | + | 423.892i | −0.462635 | + | 0.801308i | ||||
\(530\) | −280.205 | + | 161.776i | −0.528689 | + | 0.305239i | ||||
\(531\) | −9.63430 | − | 2.58150i | −0.0181437 | − | 0.00486159i | ||||
\(532\) | − | 232.153i | − | 0.436378i | ||||||
\(533\) | 941.806 | + | 112.755i | 1.76699 | + | 0.211548i | ||||
\(534\) | −15.4717 | −0.0289733 | ||||||||
\(535\) | 93.2946 | − | 348.180i | 0.174382 | − | 0.650804i | ||||
\(536\) | −152.199 | − | 263.617i | −0.283954 | − | 0.491822i | ||||
\(537\) | −207.591 | − | 119.853i | −0.386575 | − | 0.223189i | ||||
\(538\) | 344.012 | + | 344.012i | 0.639427 | + | 0.639427i | ||||
\(539\) | −410.794 | + | 110.072i | −0.762141 | + | 0.204215i | ||||
\(540\) | 93.2705 | + | 348.090i | 0.172723 | + | 0.644612i | ||||
\(541\) | −394.763 | + | 394.763i | −0.729691 | + | 0.729691i | −0.970558 | − | 0.240867i | \(-0.922568\pi\) |
0.240867 | + | 0.970558i | \(0.422568\pi\) | |||||||
\(542\) | 17.1517 | − | 29.7076i | 0.0316452 | − | 0.0548110i | ||||
\(543\) | 529.182 | − | 305.523i | 0.974552 | − | 0.562658i | ||||
\(544\) | −132.470 | − | 35.4953i | −0.243511 | − | 0.0652487i | ||||
\(545\) | 511.545i | 0.938616i | ||||||||
\(546\) | 193.735 | − | 152.306i | 0.354825 | − | 0.278949i | ||||
\(547\) | −716.303 | −1.30951 | −0.654756 | − | 0.755840i | \(-0.727229\pi\) | ||||
−0.654756 | + | 0.755840i | \(0.727229\pi\) | |||||||
\(548\) | 4.15932 | − | 15.5228i | 0.00759000 | − | 0.0283263i | ||||
\(549\) | 3.04625 | + | 5.27625i | 0.00554872 | + | 0.00961066i | ||||
\(550\) | −368.087 | − | 212.515i | −0.669250 | − | 0.386392i | ||||
\(551\) | 414.168 | + | 414.168i | 0.751666 | + | 0.751666i | ||||
\(552\) | −52.2832 | + | 14.0092i | −0.0947159 | + | 0.0253791i | ||||
\(553\) | −21.8048 | − | 81.3765i | −0.0394300 | − | 0.147155i | ||||
\(554\) | −494.891 | + | 494.891i | −0.893306 | + | 0.893306i | ||||
\(555\) | −65.5478 | + | 113.532i | −0.118104 | + | 0.204562i | ||||
\(556\) | −422.553 | + | 243.961i | −0.759988 | + | 0.438779i | ||||
\(557\) | −58.2268 | − | 15.6018i | −0.104536 | − | 0.0280104i | 0.206172 | − | 0.978516i | \(-0.433899\pi\) |
−0.310708 | + | 0.950505i | \(0.600566\pi\) | |||||||
\(558\) | − | 4.53941i | − | 0.00813515i | ||||||
\(559\) | −150.523 | + | 375.819i | −0.269272 | + | 0.672306i | ||||
\(560\) | −119.374 | −0.213169 | ||||||||
\(561\) | 274.353 | − | 1023.90i | 0.489043 | − | 1.82513i | ||||
\(562\) | −145.653 | − | 252.278i | −0.259168 | − | 0.448893i | ||||
\(563\) | −233.194 | − | 134.635i | −0.414199 | − | 0.239138i | 0.278393 | − | 0.960467i | \(-0.410198\pi\) |
−0.692592 | + | 0.721329i | \(0.743531\pi\) | |||||||
\(564\) | 46.6073 | + | 46.6073i | 0.0826370 | + | 0.0826370i | ||||
\(565\) | −237.126 | + | 63.5378i | −0.419693 | + | 0.112456i | ||||
\(566\) | −157.469 | − | 587.684i | −0.278215 | − | 1.03831i | ||||
\(567\) | −259.423 | + | 259.423i | −0.457537 | + | 0.457537i | ||||
\(568\) | −3.23364 | + | 5.60082i | −0.00569302 | + | 0.00986060i | ||||
\(569\) | 232.943 | − | 134.490i | 0.409390 | − | 0.236361i | −0.281138 | − | 0.959667i | \(-0.590712\pi\) |
0.690528 | + | 0.723306i | \(0.257378\pi\) | |||||||
\(570\) | −742.624 | − | 198.986i | −1.30285 | − | 0.349097i | ||||
\(571\) | 328.719i | 0.575689i | 0.957677 | + | 0.287845i | \(0.0929387\pi\) | ||||
−0.957677 | + | 0.287845i | \(0.907061\pi\) | |||||||
\(572\) | −223.875 | + | 298.964i | −0.391389 | + | 0.522665i | ||||
\(573\) | 123.361 | 0.215290 | ||||||||
\(574\) | 117.615 | − | 438.945i | 0.204904 | − | 0.764713i | ||||
\(575\) | −65.7711 | − | 113.919i | −0.114384 | − | 0.198120i | ||||
\(576\) | 1.82951 | + | 1.05627i | 0.00317624 | + | 0.00183380i | ||||
\(577\) | −18.1490 | − | 18.1490i | −0.0314540 | − | 0.0314540i | 0.691205 | − | 0.722659i | \(-0.257080\pi\) |
−0.722659 | + | 0.691205i | \(0.757080\pi\) | |||||||
\(578\) | 408.111 | − | 109.353i | 0.706075 | − | 0.189192i | ||||
\(579\) | 114.300 | + | 426.572i | 0.197409 | + | 0.736739i | ||||
\(580\) | 212.967 | − | 212.967i | 0.367185 | − | 0.367185i | ||||
\(581\) | −108.283 | + | 187.551i | −0.186373 | + | 0.322807i | ||||
\(582\) | 93.8212 | − | 54.1677i | 0.161205 | − | 0.0930716i | ||||
\(583\) | 468.467 | + | 125.525i | 0.803546 | + | 0.215309i | ||||
\(584\) | 152.709i | 0.261488i | ||||||||
\(585\) | −9.15417 | − | 21.3862i | −0.0156481 | − | 0.0365576i | ||||
\(586\) | 134.179 | 0.228975 | ||||||||
\(587\) | −30.1430 | + | 112.495i | −0.0513509 | + | 0.191644i | −0.986837 | − | 0.161720i | \(-0.948296\pi\) |
0.935486 | + | 0.353364i | \(0.114962\pi\) | |||||||
\(588\) | 90.1090 | + | 156.073i | 0.153247 | + | 0.265431i | ||||
\(589\) | −277.461 | − | 160.192i | −0.471072 | − | 0.271973i | ||||
\(590\) | 255.958 | + | 255.958i | 0.433828 | + | 0.433828i | ||||
\(591\) | 455.199 | − | 121.970i | 0.770218 | − | 0.206379i | ||||
\(592\) | −6.58015 | − | 24.5574i | −0.0111151 | − | 0.0414822i | ||||
\(593\) | 215.404 | − | 215.404i | 0.363244 | − | 0.363244i | −0.501762 | − | 0.865006i | \(-0.667315\pi\) |
0.865006 | + | 0.501762i | \(0.167315\pi\) | |||||||
\(594\) | 270.090 | − | 467.809i | 0.454697 | − | 0.787558i | ||||
\(595\) | 626.587 | − | 361.760i | 1.05309 | − | 0.608000i | ||||
\(596\) | −365.374 | − | 97.9017i | −0.613044 | − | 0.164265i | ||||
\(597\) | 792.427i | 1.32735i | ||||||||
\(598\) | −106.267 | + | 45.4866i | −0.177704 | + | 0.0760646i | ||||
\(599\) | −657.704 | −1.09800 | −0.549002 | − | 0.835821i | \(-0.684992\pi\) | ||||
−0.549002 | + | 0.835821i | \(0.684992\pi\) | |||||||
\(600\) | −46.6159 | + | 173.973i | −0.0776932 | + | 0.289955i | ||||
\(601\) | −149.567 | − | 259.057i | −0.248863 | − | 0.431044i | 0.714347 | − | 0.699791i | \(-0.246724\pi\) |
−0.963211 | + | 0.268747i | \(0.913390\pi\) | |||||||
\(602\) | 167.970 | + | 96.9774i | 0.279019 | + | 0.161092i | ||||
\(603\) | −20.0954 | − | 20.0954i | −0.0333257 | − | 0.0333257i | ||||
\(604\) | 192.881 | − | 51.6824i | 0.319340 | − | 0.0855669i | ||||
\(605\) | 149.713 | + | 558.737i | 0.247460 | + | 0.923532i | ||||
\(606\) | 462.069 | − | 462.069i | 0.762490 | − | 0.762490i | ||||
\(607\) | 355.980 | − | 616.576i | 0.586459 | − | 1.01578i | −0.408233 | − | 0.912878i | \(-0.633855\pi\) |
0.994692 | − | 0.102898i | \(-0.0328116\pi\) | |||||||
\(608\) | 129.124 | − | 74.5498i | 0.212375 | − | 0.122615i | ||||
\(609\) | 287.725 | + | 77.0957i | 0.472455 | + | 0.126594i | ||||
\(610\) | − | 221.107i | − | 0.362471i | ||||||
\(611\) | 112.672 | + | 84.3723i | 0.184405 | + | 0.138089i | ||||
\(612\) | −12.8040 | −0.0209215 | ||||||||
\(613\) | 189.142 | − | 705.887i | 0.308551 | − | 1.15153i | −0.621294 | − | 0.783578i | \(-0.713393\pi\) |
0.929845 | − | 0.367951i | \(-0.119941\pi\) | |||||||
\(614\) | −210.306 | − | 364.260i | −0.342517 | − | 0.593257i | ||||
\(615\) | −1303.31 | − | 752.466i | −2.11920 | − | 1.22352i | ||||
\(616\) | 126.528 | + | 126.528i | 0.205402 | + | 0.205402i | ||||
\(617\) | 338.746 | − | 90.7668i | 0.549021 | − | 0.147110i | 0.0263636 | − | 0.999652i | \(-0.491607\pi\) |
0.522658 | + | 0.852543i | \(0.324941\pi\) | |||||||
\(618\) | 19.3483 | + | 72.2087i | 0.0313079 | + | 0.116843i | ||||
\(619\) | 283.795 | − | 283.795i | 0.458474 | − | 0.458474i | −0.439680 | − | 0.898154i | \(-0.644908\pi\) |
0.898154 | + | 0.439680i | \(0.144908\pi\) | |||||||
\(620\) | −82.3717 | + | 142.672i | −0.132858 | + | 0.230116i | ||||
\(621\) | 144.782 | − | 83.5897i | 0.233143 | − | 0.134605i | ||||
\(622\) | 336.894 | + | 90.2704i | 0.541630 | + | 0.145129i | ||||
\(623\) | 15.8295i | 0.0254084i | ||||||||
\(624\) | 146.926 | + | 58.8466i | 0.235458 | + | 0.0943055i | ||||
\(625\) | 710.329 | 1.13653 | ||||||||
\(626\) | −43.3837 | + | 161.910i | −0.0693030 | + | 0.258642i | ||||
\(627\) | 576.216 | + | 998.036i | 0.919005 | + | 1.59176i | ||||
\(628\) | −306.216 | − | 176.794i | −0.487606 | − | 0.281519i | ||||
\(629\) | 108.959 | + | 108.959i | 0.173226 | + | 0.173226i | ||||
\(630\) | −10.7653 | + | 2.88454i | −0.0170877 | + | 0.00457864i | ||||
\(631\) | −298.859 | − | 1115.36i | −0.473627 | − | 1.76760i | −0.626570 | − | 0.779365i | \(-0.715542\pi\) |
0.152944 | − | 0.988235i | \(-0.451125\pi\) | |||||||
\(632\) | 38.2597 | − | 38.2597i | 0.0605376 | − | 0.0605376i | ||||
\(633\) | −633.706 | + | 1097.61i | −1.00112 | + | 1.73398i | ||||
\(634\) | −493.312 | + | 284.814i | −0.778094 | + | 0.449233i | ||||
\(635\) | −871.126 | − | 233.417i | −1.37185 | − | 0.367587i | ||||
\(636\) | − | 205.520i | − | 0.323144i | ||||||
\(637\) | 237.862 | + | 302.563i | 0.373410 | + | 0.474981i | ||||
\(638\) | −451.459 | −0.707615 | ||||||||
\(639\) | −0.156274 | + | 0.583223i | −0.000244560 | + | 0.000912712i | ||||
\(640\) | −38.3339 | − | 66.3963i | −0.0598967 | − | 0.103744i | ||||
\(641\) | 225.174 | + | 130.005i | 0.351286 | + | 0.202815i | 0.665252 | − | 0.746619i | \(-0.268324\pi\) |
−0.313965 | + | 0.949434i | \(0.601658\pi\) | |||||||
\(642\) | 161.902 | + | 161.902i | 0.252184 | + | 0.252184i | ||||
\(643\) | 11.9154 | − | 3.19272i | 0.0185309 | − | 0.00496535i | −0.249542 | − | 0.968364i | \(-0.580280\pi\) |
0.268073 | + | 0.963399i | \(0.413613\pi\) | |||||||
\(644\) | 14.3332 | + | 53.4921i | 0.0222565 | + | 0.0830622i | ||||
\(645\) | 454.188 | − | 454.188i | 0.704168 | − | 0.704168i | ||||
\(646\) | −451.841 | + | 782.612i | −0.699445 | + | 1.21147i | ||||
\(647\) | 822.864 | − | 475.081i | 1.27182 | − | 0.734283i | 0.296486 | − | 0.955037i | \(-0.404185\pi\) |
0.975329 | + | 0.220755i | \(0.0708520\pi\) | |||||||
\(648\) | −227.599 | − | 60.9849i | −0.351232 | − | 0.0941124i | ||||
\(649\) | − | 542.593i | − | 0.836045i | ||||||
\(650\) | −45.7231 | + | 381.909i | −0.0703432 | + | 0.587553i | ||||
\(651\) | −162.935 | −0.250284 | ||||||||
\(652\) | 62.7624 | − | 234.232i | 0.0962613 | − | 0.359252i | ||||
\(653\) | −282.884 | − | 489.970i | −0.433207 | − | 0.750336i | 0.563941 | − | 0.825815i | \(-0.309285\pi\) |
−0.997147 | + | 0.0754792i | \(0.975951\pi\) | |||||||
\(654\) | −281.399 | − | 162.466i | −0.430274 | − | 0.248419i | ||||
\(655\) | 183.398 | + | 183.398i | 0.279997 | + | 0.279997i | ||||
\(656\) | 281.911 | − | 75.5378i | 0.429742 | − | 0.115149i | ||||
\(657\) | 3.69004 | + | 13.7714i | 0.00561650 | + | 0.0209611i | ||||
\(658\) | 47.6849 | − | 47.6849i | 0.0724695 | − | 0.0724695i | ||||
\(659\) | −190.174 | + | 329.390i | −0.288579 | + | 0.499833i | −0.973471 | − | 0.228811i | \(-0.926516\pi\) |
0.684892 | + | 0.728645i | \(0.259849\pi\) | |||||||
\(660\) | 513.195 | − | 296.293i | 0.777568 | − | 0.448929i | ||||
\(661\) | −960.224 | − | 257.291i | −1.45268 | − | 0.389245i | −0.555728 | − | 0.831364i | \(-0.687560\pi\) |
−0.896956 | + | 0.442119i | \(0.854227\pi\) | |||||||
\(662\) | 634.128i | 0.957898i | ||||||||
\(663\) | −949.533 | + | 136.372i | −1.43218 | + | 0.205689i | ||||
\(664\) | −139.088 | −0.209470 | ||||||||
\(665\) | −203.586 | + | 759.795i | −0.306145 | + | 1.14255i | ||||
\(666\) | −1.18680 | − | 2.05561i | −0.00178199 | − | 0.00308650i | ||||
\(667\) | −121.002 | − | 69.8606i | −0.181413 | − | 0.104739i | ||||
\(668\) | −419.609 | − | 419.609i | −0.628158 | − | 0.628158i | ||||
\(669\) | −600.644 | + | 160.942i | −0.897823 | + | 0.240571i | ||||
\(670\) | 266.942 | + | 996.240i | 0.398420 | + | 1.48693i | ||||
\(671\) | −234.357 | + | 234.357i | −0.349266 | + | 0.349266i | ||||
\(672\) | 37.9131 | − | 65.6674i | 0.0564183 | − | 0.0977193i | ||||
\(673\) | −548.632 | + | 316.753i | −0.815204 | + | 0.470658i | −0.848760 | − | 0.528779i | \(-0.822650\pi\) |
0.0335560 | + | 0.999437i | \(0.489317\pi\) | |||||||
\(674\) | 648.117 | + | 173.663i | 0.961599 | + | 0.257660i | ||||
\(675\) | − | 556.292i | − | 0.824136i | ||||||
\(676\) | 328.448 | + | 79.7887i | 0.485869 | + | 0.118031i | ||||
\(677\) | −221.745 | −0.327540 | −0.163770 | − | 0.986499i | \(-0.552366\pi\) | ||||
−0.163770 | + | 0.986499i | \(0.552366\pi\) | |||||||
\(678\) | 40.3590 | − | 150.622i | 0.0595265 | − | 0.222156i | ||||
\(679\) | −55.4201 | − | 95.9905i | −0.0816202 | − | 0.141370i | ||||
\(680\) | 402.423 | + | 232.339i | 0.591799 | + | 0.341675i | ||||
\(681\) | 239.418 | + | 239.418i | 0.351569 | + | 0.351569i | ||||
\(682\) | 238.529 | − | 63.9137i | 0.349750 | − | 0.0937152i | ||||
\(683\) | 173.007 | + | 645.671i | 0.253304 | + | 0.945345i | 0.969026 | + | 0.246959i | \(0.0794313\pi\) |
−0.715722 | + | 0.698386i | \(0.753902\pi\) | |||||||
\(684\) | 9.84309 | − | 9.84309i | 0.0143905 | − | 0.0143905i | ||||
\(685\) | −27.2254 | + | 47.1558i | −0.0397451 | + | 0.0688405i | ||||
\(686\) | 423.975 | − | 244.782i | 0.618039 | − | 0.356825i | ||||
\(687\) | 882.731 | + | 236.527i | 1.28491 | + | 0.344290i | ||||
\(688\) | 124.567i | 0.181056i | ||||||||
\(689\) | −62.3944 | − | 434.443i | −0.0905580 | − | 0.630541i | ||||
\(690\) | 183.399 | 0.265795 | ||||||||
\(691\) | −146.869 | + | 548.121i | −0.212545 | + | 0.793229i | 0.774471 | + | 0.632609i | \(0.218016\pi\) |
−0.987016 | + | 0.160620i | \(0.948651\pi\) | |||||||
\(692\) | 278.490 | + | 482.359i | 0.402442 | + | 0.697050i | ||||
\(693\) | 14.4678 | + | 8.35297i | 0.0208770 | + | 0.0120534i | ||||
\(694\) | −533.636 | − | 533.636i | −0.768927 | − | 0.768927i | ||||
\(695\) | 1596.88 | − | 427.883i | 2.29767 | − | 0.615659i | ||||
\(696\) | 49.5145 | + | 184.790i | 0.0711415 | + | 0.265504i | ||||
\(697\) | −1250.81 | + | 1250.81i | −1.79457 | + | 1.79457i | ||||
\(698\) | 191.046 | − | 330.901i | 0.273704 | − | 0.474070i | ||||
\(699\) | 122.788 | − | 70.8916i | 0.175662 | − | 0.101419i | ||||
\(700\) | 177.996 | + | 47.6938i | 0.254280 | + | 0.0681340i | ||||
\(701\) | 597.453i | 0.852287i | 0.904656 | + | 0.426143i | \(0.140128\pi\) | ||||
−0.904656 | + | 0.426143i | \(0.859872\pi\) | |||||||
\(702\) | −485.376 | − | 58.1103i | −0.691418 | − | 0.0827783i | ||||
\(703\) | −167.526 | −0.238301 | ||||||||
\(704\) | −29.7440 | + | 111.006i | −0.0422500 | + | 0.157679i | ||||
\(705\) | −111.665 | − | 193.409i | −0.158390 | − | 0.274339i | ||||
\(706\) | 432.314 | + | 249.596i | 0.612342 | + | 0.353536i | ||||
\(707\) | −472.753 | − | 472.753i | −0.668675 | − | 0.668675i | ||||
\(708\) | −222.094 | + | 59.5098i | −0.313692 | + | 0.0840534i | ||||
\(709\) | −10.2632 | − | 38.3029i | −0.0144757 | − | 0.0540239i | 0.958310 | − | 0.285730i | \(-0.0922360\pi\) |
−0.972786 | + | 0.231706i | \(0.925569\pi\) | |||||||
\(710\) | 15.4947 | − | 15.4947i | 0.0218236 | − | 0.0218236i | ||||
\(711\) | 2.52579 | − | 4.37479i | 0.00355244 | − | 0.00615301i | ||||
\(712\) | −8.80437 | + | 5.08321i | −0.0123657 | + | 0.00713934i | ||||
\(713\) | 73.8221 | + | 19.7806i | 0.103537 | + | 0.0277427i | ||||
\(714\) | 459.577i | 0.643666i | ||||||||
\(715\) | 994.877 | − | 782.129i | 1.39144 | − | 1.09389i | ||||
\(716\) | −157.509 | −0.219985 | ||||||||
\(717\) | 154.085 | − | 575.055i | 0.214903 | − | 0.802029i | ||||
\(718\) | −116.092 | − | 201.077i | −0.161688 | − | 0.280051i | ||||
\(719\) | −864.778 | − | 499.280i | −1.20275 | − | 0.694409i | −0.241585 | − | 0.970380i | \(-0.577667\pi\) |
−0.961166 | + | 0.275971i | \(0.911001\pi\) | |||||||
\(720\) | −5.06137 | − | 5.06137i | −0.00702967 | − | 0.00702967i | ||||
\(721\) | 73.8783 | − | 19.7956i | 0.102466 | − | 0.0274558i | ||||
\(722\) | −122.146 | − | 455.855i | −0.169177 | − | 0.631379i | ||||
\(723\) | −483.940 | + | 483.940i | −0.669350 | + | 0.669350i | ||||
\(724\) | 200.758 | − | 347.724i | 0.277290 | − | 0.480281i | ||||
\(725\) | −402.636 | + | 232.462i | −0.555360 | + | 0.320638i | ||||
\(726\) | −354.908 | − | 95.0972i | −0.488854 | − | 0.130988i | ||||
\(727\) | − | 685.178i | − | 0.942473i | −0.882007 | − | 0.471237i | \(-0.843808\pi\) | ||
0.882007 | − | 0.471237i | \(-0.156192\pi\) | |||||||
\(728\) | 60.2073 | − | 150.323i | 0.0827023 | − | 0.206487i | ||||
\(729\) | 706.374 | 0.968963 | ||||||||
\(730\) | 133.918 | − | 499.789i | 0.183450 | − | 0.684643i | ||||
\(731\) | −377.495 | − | 653.841i | −0.516409 | − | 0.894447i | ||||
\(732\) | 121.630 | + | 70.2233i | 0.166162 | + | 0.0959334i | ||||
\(733\) | 176.253 | + | 176.253i | 0.240454 | + | 0.240454i | 0.817038 | − | 0.576584i | \(-0.195615\pi\) |
−0.576584 | + | 0.817038i | \(0.695615\pi\) | |||||||
\(734\) | −937.537 | + | 251.212i | −1.27730 | + | 0.342251i | ||||
\(735\) | −158.042 | − | 589.820i | −0.215023 | − | 0.802477i | ||||
\(736\) | −25.1497 | + | 25.1497i | −0.0341708 | + | 0.0341708i | ||||
\(737\) | 773.001 | − | 1338.88i | 1.04885 | − | 1.81666i | ||||
\(738\) | 23.5976 | − | 13.6241i | 0.0319751 | − | 0.0184608i | ||||
\(739\) | 1337.69 | + | 358.434i | 1.81014 | + | 0.485026i | 0.995485 | − | 0.0949200i | \(-0.0302595\pi\) |
0.814655 | + | 0.579946i | \(0.196926\pi\) | |||||||
\(740\) | 86.1425i | 0.116409i | ||||||||
\(741\) | 625.121 | − | 834.793i | 0.843618 | − | 1.12658i | ||||
\(742\) | −210.272 | −0.283385 | ||||||||
\(743\) | −150.945 | + | 563.335i | −0.203156 | + | 0.758190i | 0.786847 | + | 0.617148i | \(0.211712\pi\) |
−0.990004 | + | 0.141042i | \(0.954955\pi\) | |||||||
\(744\) | −52.3222 | − | 90.6247i | −0.0703255 | − | 0.121807i | ||||
\(745\) | 1109.95 | + | 640.829i | 1.48986 | + | 0.860173i | ||||
\(746\) | −617.271 | − | 617.271i | −0.827441 | − | 0.827441i | ||||
\(747\) | −12.5431 | + | 3.36090i | −0.0167912 | + | 0.00449920i | ||||
\(748\) | −180.276 | − | 672.800i | −0.241011 | − | 0.899466i | ||||
\(749\) | 165.646 | − | 165.646i | 0.221156 | − | 0.221156i | ||||
\(750\) | −59.4835 | + | 103.028i | −0.0793113 | + | 0.137371i | ||||
\(751\) | −1012.32 | + | 584.461i | −1.34796 | + | 0.778244i | −0.987960 | − | 0.154709i | \(-0.950556\pi\) |
−0.359998 | + | 0.932953i | \(0.617223\pi\) | |||||||
\(752\) | 41.8352 | + | 11.2097i | 0.0556319 | + | 0.0149065i | ||||
\(753\) | − | 10.6229i | − | 0.0141075i | ||||||
\(754\) | 160.769 | + | 375.591i | 0.213221 | + | 0.498132i | ||||
\(755\) | −676.588 | −0.896143 | ||||||||
\(756\) | −60.6149 | + | 226.218i | −0.0801785 | + | 0.299230i | ||||
\(757\) | 561.343 | + | 972.275i | 0.741537 | + | 1.28438i | 0.951796 | + | 0.306733i | \(0.0992360\pi\) |
−0.210259 | + | 0.977646i | \(0.567431\pi\) | |||||||
\(758\) | 657.282 | + | 379.482i | 0.867126 | + | 0.500636i | ||||
\(759\) | −194.389 | − | 194.389i | −0.256112 | − | 0.256112i | ||||
\(760\) | −487.976 | + | 130.753i | −0.642073 | + | 0.172043i | ||||
\(761\) | 246.221 | + | 918.907i | 0.323549 | + | 1.20750i | 0.915763 | + | 0.401719i | \(0.131587\pi\) |
−0.592214 | + | 0.805781i | \(0.701746\pi\) | |||||||
\(762\) | 405.070 | − | 405.070i | 0.531588 | − | 0.531588i | ||||
\(763\) | −166.222 | + | 287.906i | −0.217854 | + | 0.377334i | ||||
\(764\) | 70.2001 | − | 40.5301i | 0.0918850 | − | 0.0530498i | ||||
\(765\) | 41.9050 | + | 11.2284i | 0.0547778 | + | 0.0146777i | ||||
\(766\) | 370.506i | 0.483690i | ||||||||
\(767\) | −451.411 | + | 193.222i | −0.588541 | + | 0.251920i | ||||
\(768\) | 48.6991 | 0.0634103 | ||||||||
\(769\) | −53.4110 | + | 199.332i | −0.0694551 | + | 0.259210i | −0.991919 | − | 0.126874i | \(-0.959506\pi\) |
0.922464 | + | 0.386084i | \(0.126172\pi\) | |||||||
\(770\) | −303.144 | − | 525.061i | −0.393694 | − | 0.681898i | ||||
\(771\) | 488.733 | + | 282.170i | 0.633895 | + | 0.365979i | ||||
\(772\) | 205.193 | + | 205.193i | 0.265794 | + | 0.265794i | ||||
\(773\) | −431.675 | + | 115.667i | −0.558441 | + | 0.149634i | −0.526990 | − | 0.849871i | \(-0.676680\pi\) |
−0.0314512 | + | 0.999505i | \(0.510013\pi\) | |||||||
\(774\) | 3.01001 | + | 11.2335i | 0.00388890 | + | 0.0145136i | ||||
\(775\) | 179.824 | − | 179.824i | 0.232031 | − | 0.232031i | ||||
\(776\) | 35.5934 | − | 61.6496i | 0.0458678 | − | 0.0794453i | ||||
\(777\) | −73.7826 | + | 42.5984i | −0.0949583 | + | 0.0548242i | ||||
\(778\) | −252.156 | − | 67.5651i | −0.324108 | − | 0.0868445i | ||||
\(779\) | − | 1923.14i | − | 2.46872i | ||||||
\(780\) | −429.255 | − | 321.440i | −0.550327 | − | 0.412103i | ||||
\(781\) | −32.8465 | −0.0420570 | ||||||||
\(782\) | 55.7934 | − | 208.224i | 0.0713471 | − | 0.266271i | ||||
\(783\) | −295.441 | − | 511.718i | −0.377319 | − | 0.653535i | ||||
\(784\) | 102.555 | + | 59.2103i | 0.130810 | + | 0.0755233i | ||||
\(785\) | 847.151 | + | 847.151i | 1.07917 | + | 1.07917i | ||||
\(786\) | −159.134 | + | 42.6397i | −0.202460 | + | 0.0542490i | ||||
\(787\) | 173.642 | + | 648.040i | 0.220638 | + | 0.823431i | 0.984105 | + | 0.177585i | \(0.0568284\pi\) |
−0.763468 | + | 0.645846i | \(0.776505\pi\) | |||||||
\(788\) | 218.963 | − | 218.963i | 0.277872 | − | 0.277872i | ||||
\(789\) | 285.120 | − | 493.843i | 0.361369 | − | 0.625910i | ||||
\(790\) | −158.769 | + | 91.6653i | −0.200973 | + | 0.116032i | ||||
\(791\) | −154.104 | − | 41.2921i | −0.194822 | − | 0.0522025i | ||||
\(792\) | 10.7293i | 0.0135471i | ||||||||
\(793\) | 278.430 | + | 111.517i | 0.351110 | + | 0.140627i | ||||
\(794\) | 359.016 | 0.452162 | ||||||||
\(795\) | −180.230 | + | 672.628i | −0.226705 | + | 0.846073i | ||||
\(796\) | 260.350 | + | 450.940i | 0.327073 | + | 0.566508i | ||||
\(797\) | −207.230 | − | 119.644i | −0.260013 | − | 0.150118i | 0.364328 | − | 0.931271i | \(-0.381299\pi\) |
−0.624340 | + | 0.781152i | \(0.714632\pi\) | |||||||
\(798\) | −353.302 | − | 353.302i | −0.442734 | − | 0.442734i | ||||
\(799\) | −253.560 | + | 67.9413i | −0.317347 | + | 0.0850329i | ||||
\(800\) | 30.6312 | + | 114.317i | 0.0382890 | + | 0.142896i | ||||
\(801\) | −0.671155 | + | 0.671155i | −0.000837896 | + | 0.000837896i | ||||
\(802\) | −191.654 | + | 331.955i | −0.238971 | + | 0.413909i | ||||
\(803\) | −671.683 | + | 387.796i | −0.836466 | + | 0.482934i | ||||
\(804\) | −632.808 | − | 169.560i | −0.787075 | − | 0.210896i | ||||
\(805\) | − | 187.639i | − | 0.233092i | ||||||
\(806\) | −138.116 | − | 175.684i | −0.171359 | − | 0.217971i | ||||
\(807\) | 1047.07 | 1.29748 | ||||||||
\(808\) | 111.134 | − | 414.758i | 0.137542 | − | 0.513315i | ||||
\(809\) | −234.046 | − | 405.380i | −0.289303 | − | 0.501088i | 0.684340 | − | 0.729163i | \(-0.260090\pi\) |
−0.973644 | + | 0.228075i | \(0.926757\pi\) | |||||||
\(810\) | 691.408 | + | 399.185i | 0.853590 | + | 0.492820i | ||||
\(811\) | −680.928 | − | 680.928i | −0.839615 | − | 0.839615i | 0.149193 | − | 0.988808i | \(-0.452332\pi\) |
−0.988808 | + | 0.149193i | \(0.952332\pi\) | |||||||
\(812\) | 189.063 | − | 50.6593i | 0.232836 | − | 0.0623883i | ||||
\(813\) | −19.1082 | − | 71.3126i | −0.0235033 | − | 0.0877154i | ||||
\(814\) | 91.3046 | − | 91.3046i | 0.112168 | − | 0.112168i | ||||
\(815\) | −410.819 | + | 711.560i | −0.504073 | + | 0.873080i | ||||
\(816\) | −255.618 | + | 147.581i | −0.313257 | + | 0.180859i | ||||
\(817\) | 792.843 | + | 212.442i | 0.970433 | + | 0.260027i | ||||
\(818\) | − | 223.270i | − | 0.272946i | ||||||
\(819\) | 1.79716 | − | 15.0110i | 0.00219433 | − | 0.0183285i | ||||
\(820\) | −988.886 | −1.20596 | ||||||||
\(821\) | −326.171 | + | 1217.29i | −0.397285 | + | 1.48269i | 0.420569 | + | 0.907260i | \(0.361830\pi\) |
−0.817854 | + | 0.575426i | \(0.804836\pi\) | |||||||
\(822\) | −17.2935 | − | 29.9532i | −0.0210383 | − | 0.0364394i | ||||
\(823\) | 499.204 | + | 288.216i | 0.606566 | + | 0.350201i | 0.771620 | − | 0.636083i | \(-0.219447\pi\) |
−0.165054 | + | 0.986285i | \(0.552780\pi\) | |||||||
\(824\) | 34.7344 | + | 34.7344i | 0.0421534 | + | 0.0421534i | ||||
\(825\) | −883.589 | + | 236.757i | −1.07102 | + | 0.286978i | ||||
\(826\) | 60.8858 | + | 227.229i | 0.0737116 | + | 0.275095i | ||||
\(827\) | 434.651 | − | 434.651i | 0.525575 | − | 0.525575i | −0.393675 | − | 0.919250i | \(-0.628796\pi\) |
0.919250 | + | 0.393675i | \(0.128796\pi\) | |||||||
\(828\) | −1.66030 | + | 2.87573i | −0.00200520 | + | 0.00347310i | ||||
\(829\) | −109.340 | + | 63.1272i | −0.131893 | + | 0.0761486i | −0.564495 | − | 0.825437i | \(-0.690929\pi\) |
0.432602 | + | 0.901585i | \(0.357596\pi\) | |||||||
\(830\) | 455.210 | + | 121.973i | 0.548446 | + | 0.146956i | ||||
\(831\) | 1506.30i | 1.81263i | ||||||||
\(832\) | 102.944 | − | 14.7847i | 0.123730 | − | 0.0177701i | ||||
\(833\) | −717.739 | −0.861632 | ||||||||
\(834\) | −271.790 | + | 1014.33i | −0.325887 | + | 1.21623i | ||||
\(835\) | 1005.33 | + | 1741.28i | 1.20399 | + | 2.08537i | ||||
\(836\) | 655.806 | + | 378.630i | 0.784457 | + | 0.452906i | ||||
\(837\) | 228.542 | + | 228.542i | 0.273048 | + | 0.273048i | ||||
\(838\) | 891.299 | − | 238.823i | 1.06360 | − | 0.284991i | ||||
\(839\) | −329.574 | − | 1229.99i | −0.392817 | − | 1.46601i | −0.825466 | − | 0.564451i | \(-0.809088\pi\) |
0.432649 | − | 0.901562i | \(-0.357579\pi\) | |||||||
\(840\) | −181.669 | + | 181.669i | −0.216273 | + | 0.216273i | ||||
\(841\) | 173.584 | − | 300.656i | 0.206401 | − | 0.357498i | ||||
\(842\) | 510.220 | − | 294.576i | 0.605962 | − | 0.349852i | ||||
\(843\) | −605.589 | − | 162.267i | −0.718374 | − | 0.192488i | ||||
\(844\) | 832.812i | 0.986744i | ||||||||
\(845\) | −1004.98 | − | 549.165i | −1.18932 | − | 0.649900i | ||||
\(846\) | 4.04360 | 0.00477966 | ||||||||
\(847\) | −97.2960 | + | 363.114i | −0.114871 | + | 0.428706i | ||||
\(848\) | −67.5231 | − | 116.953i | −0.0796263 | − | 0.137917i | ||||
\(849\) | −1134.01 | − | 654.720i | −1.33570 | − | 0.771166i | ||||
\(850\) | −507.215 | − | 507.215i | −0.596723 | − | 0.596723i | ||||
\(851\) | 38.6007 | − | 10.3430i | 0.0453593 | − | 0.0121540i | ||||
\(852\) | 3.60249 | + | 13.4447i | 0.00422828 | + | 0.0157801i | ||||
\(853\) | 162.871 | − | 162.871i | 0.190939 | − | 0.190939i | −0.605163 | − | 0.796102i | \(-0.706892\pi\) |
0.796102 | + | 0.605163i | \(0.206892\pi\) | |||||||
\(854\) | 71.8470 | − | 124.443i | 0.0841299 | − | 0.145717i | ||||
\(855\) | −40.8465 | + | 23.5827i | −0.0477737 | + | 0.0275822i | ||||
\(856\) | 145.325 | + | 38.9398i | 0.169772 | + | 0.0454904i | ||||
\(857\) | − | 1077.67i | − | 1.25750i | −0.777609 | − | 0.628748i | \(-0.783568\pi\) | ||
0.777609 | − | 0.628748i | \(-0.216432\pi\) | |||||||
\(858\) | 114.275 | + | 795.681i | 0.133188 | + | 0.927367i | ||||
\(859\) | 654.044 | 0.761402 | 0.380701 | − | 0.924698i | \(-0.375683\pi\) | ||||
0.380701 | + | 0.924698i | \(0.375683\pi\) | |||||||
\(860\) | 109.239 | − | 407.684i | 0.127022 | − | 0.474051i | ||||
\(861\) | −489.015 | − | 846.999i | −0.567962 | − | 0.983739i | ||||
\(862\) | −86.4982 | − | 49.9398i | −0.100346 | − | 0.0579348i | ||||
\(863\) | 916.358 | + | 916.358i | 1.06183 | + | 1.06183i | 0.997958 | + | 0.0638705i | \(0.0203445\pi\) |
0.0638705 | + | 0.997958i | \(0.479656\pi\) | |||||||
\(864\) | −145.288 | + | 38.9297i | −0.168157 | + | 0.0450576i | ||||
\(865\) | −488.443 | − | 1822.89i | −0.564674 | − | 2.10739i | ||||
\(866\) | 466.918 | − | 466.918i | 0.539167 | − | 0.539167i | ||||
\(867\) | 454.664 | − | 787.502i | 0.524411 | − | 0.908306i | ||||
\(868\) | −92.7201 | + | 53.5320i | −0.106820 | + | 0.0616728i | ||||
\(869\) | 265.441 | + | 71.1248i | 0.305456 | + | 0.0818468i | ||||
\(870\) | − | 648.207i | − | 0.745066i | ||||||
\(871\) | −1389.15 | − | 166.313i | −1.59490 | − | 0.190945i | ||||
\(872\) | −213.512 | −0.244853 | ||||||||
\(873\) | 1.72015 | − | 6.41967i | 0.00197039 | − | 0.00735358i | ||||
\(874\) | 117.182 | + | 202.964i | 0.134075 | + | 0.232225i | ||||
\(875\) | 105.411 | + | 60.8589i | 0.120469 | + | 0.0695530i | ||||
\(876\) | 232.400 | + | 232.400i | 0.265297 | + | 0.265297i | ||||
\(877\) | −886.252 | + | 237.471i | −1.01055 | + | 0.270776i | −0.725859 | − | 0.687843i | \(-0.758558\pi\) |
−0.284691 | + | 0.958619i | \(0.591891\pi\) | |||||||
\(878\) | −43.7768 | − | 163.377i | −0.0498597 | − | 0.186079i | ||||
\(879\) | 204.200 | − | 204.200i | 0.232309 | − | 0.232309i | ||||
\(880\) | 194.693 | − | 337.219i | 0.221242 | − | 0.383203i | ||||
\(881\) | 837.311 | − | 483.422i | 0.950410 | − | 0.548719i | 0.0572017 | − | 0.998363i | \(-0.481782\pi\) |
0.893208 | + | 0.449643i | \(0.148449\pi\) | |||||||
\(882\) | 10.6793 | + | 2.86150i | 0.0121080 | + | 0.00324433i | ||||
\(883\) | − | 1129.48i | − | 1.27914i | −0.768731 | − | 0.639572i | \(-0.779112\pi\) | ||
0.768731 | − | 0.639572i | \(-0.220888\pi\) | |||||||
\(884\) | −495.539 | + | 389.571i | −0.560564 | + | 0.440692i | ||||
\(885\) | 779.059 | 0.880293 | ||||||||
\(886\) | −20.7614 | + | 77.4827i | −0.0234328 | + | 0.0874523i | ||||
\(887\) | 827.477 | + | 1433.23i | 0.932894 | + | 1.61582i | 0.778347 | + | 0.627834i | \(0.216058\pi\) |
0.154547 | + | 0.987985i | \(0.450608\pi\) | |||||||
\(888\) | −47.3866 | − | 27.3587i | −0.0533633 | − | 0.0308093i | ||||
\(889\) | −414.436 | − | 414.436i | −0.466182 | − | 0.466182i | ||||
\(890\) | 33.2728 | − | 8.91542i | 0.0373852 | − | 0.0100173i | ||||
\(891\) | −309.735 | − | 1155.95i | −0.347626 | − | 1.29736i | ||||
\(892\) | −288.926 | + | 288.926i | −0.323909 | + | 0.323909i | ||||
\(893\) | 142.695 | − | 247.155i | 0.159793 | − | 0.276770i | ||||
\(894\) | −705.035 | + | 407.052i | −0.788630 | + | 0.455316i | ||||
\(895\) | 515.500 | + | 138.128i | 0.575977 | + | 0.154333i | ||||
\(896\) | − | 49.8251i | − | 0.0556084i | ||||||
\(897\) | −92.4984 | + | 230.946i | −0.103120 | + | 0.257464i | ||||
\(898\) | 261.348 | 0.291033 | ||||||||
\(899\) | 69.9127 | − | 260.918i | 0.0777672 | − | 0.290231i | ||||
\(900\) | 5.52468 | + | 9.56903i | 0.00613853 | + | 0.0106323i | ||||
\(901\) | 708.847 | + | 409.253i | 0.786733 | + | 0.454221i | ||||
\(902\) | 1048.14 | + | 1048.14i | 1.16202 | + | 1.16202i | ||||
\(903\) | 403.209 | − | 108.039i | 0.446521 | − | 0.119645i | ||||
\(904\) | −26.5197 | − | 98.9730i | −0.0293360 | − | 0.109483i | ||||
\(905\) | −961.981 | + | 961.981i | −1.06296 | + | 1.06296i | ||||
\(906\) | 214.883 | − | 372.188i | 0.237178 | − | 0.410804i | ||||
\(907\) | 386.408 | − | 223.093i | 0.426029 | − | 0.245968i | −0.271625 | − | 0.962403i | \(-0.587561\pi\) |
0.697653 | + | 0.716435i | \(0.254228\pi\) | |||||||
\(908\) | 214.904 | + | 57.5835i | 0.236679 | + | 0.0634179i | ||||
\(909\) | − | 40.0886i | − | 0.0441019i | ||||||
\(910\) | −328.873 | + | 439.180i | −0.361399 | + | 0.482615i | ||||
\(911\) | 1639.85 | 1.80005 | 0.900025 | − | 0.435838i | \(-0.143548\pi\) | ||||
0.900025 | + | 0.435838i | \(0.143548\pi\) | |||||||
\(912\) | 83.0536 | − | 309.960i | 0.0910676 | − | 0.339869i | ||||
\(913\) | −353.206 | − | 611.771i | −0.386863 | − | 0.670067i | ||||
\(914\) | −362.673 | − | 209.389i | −0.396797 | − | 0.229091i | ||||
\(915\) | −336.491 | − | 336.491i | −0.367750 | − | 0.367750i | ||||
\(916\) | 580.039 | − | 155.421i | 0.633231 | − | 0.169674i | ||||
\(917\) | 43.6256 | + | 162.813i | 0.0475743 | + | 0.177550i | ||||
\(918\) | 644.629 | − | 644.629i | 0.702210 | − | 0.702210i | ||||
\(919\) | −595.311 | + | 1031.11i | −0.647782 | + | 1.12199i | 0.335870 | + | 0.941908i | \(0.390970\pi\) |
−0.983652 | + | 0.180082i | \(0.942364\pi\) | |||||||
\(920\) | 104.365 | − | 60.2553i | 0.113441 | − | 0.0654949i | ||||
\(921\) | −874.401 | − | 234.295i | −0.949404 | − | 0.254392i | ||||
\(922\) | − | 872.906i | − | 0.946752i | ||||||
\(923\) | 11.6969 | + | 27.3267i | 0.0126727 | + | 0.0296064i | ||||
\(924\) | 385.112 | 0.416788 | ||||||||
\(925\) | 34.4166 | − | 128.445i | 0.0372071 | − | 0.138859i | ||||
\(926\) | −198.699 | − | 344.157i | −0.214578 | − | 0.371660i | ||||
\(927\) | 3.97169 | + | 2.29306i | 0.00428446 | + | 0.00247363i | ||||
\(928\) | 88.8894 | + | 88.8894i | 0.0957860 | + | 0.0957860i | ||||
\(929\) | −770.131 | + | 206.356i | −0.828990 | + | 0.222127i | −0.648273 | − | 0.761408i | \(-0.724508\pi\) |
−0.180717 | + | 0.983535i | \(0.557842\pi\) | |||||||
\(930\) | 91.7677 | + | 342.482i | 0.0986750 | + | 0.368260i | ||||
\(931\) | 551.765 | − | 551.765i | 0.592658 | − | 0.592658i | ||||
\(932\) | 46.5826 | − | 80.6834i | 0.0499813 | − | 0.0865702i | ||||
\(933\) | 650.078 | − | 375.323i | 0.696761 | − | 0.402275i | ||||
\(934\) | −713.086 | − | 191.071i | −0.763475 | − | 0.204573i | ||||
\(935\) | 2360.05i | 2.52411i | ||||||||
\(936\) | 8.92628 | − | 3.82081i | 0.00953662 | − | 0.00408207i | ||||
\(937\) | 406.611 | 0.433950 | 0.216975 | − | 0.976177i | \(-0.430381\pi\) | ||||
0.216975 | + | 0.976177i | \(0.430381\pi\) | |||||||
\(938\) | −173.481 | + | 647.440i | −0.184948 | + | 0.690234i | ||||
\(939\) | 180.379 | + | 312.426i | 0.192097 | + | 0.332722i | ||||
\(940\) | −127.089 | − | 73.3746i | −0.135201 | − | 0.0780581i | ||||
\(941\) | −67.4219 | − | 67.4219i | −0.0716492 | − | 0.0716492i | 0.670374 | − | 0.742023i | \(-0.266134\pi\) |
−0.742023 | + | 0.670374i | \(0.766134\pi\) | |||||||
\(942\) | −735.068 | + | 196.961i | −0.780327 | + | 0.209088i | ||||
\(943\) | 118.735 | + | 443.123i | 0.125911 | + | 0.469908i | ||||
\(944\) | −106.833 | + | 106.833i | −0.113171 | + | 0.113171i | ||||
\(945\) | 396.763 | − | 687.214i | 0.419855 | − | 0.727210i | ||||
\(946\) | −547.899 | + | 316.330i | −0.579175 | + | 0.334387i | ||||
\(947\) | −1589.57 | − | 425.925i | −1.67853 | − | 0.449762i | −0.711143 | − | 0.703047i | \(-0.751822\pi\) |
−0.967392 | + | 0.253285i | \(0.918489\pi\) | |||||||
\(948\) | − | 116.451i | − | 0.122839i | ||||||
\(949\) | 561.820 | + | 420.709i | 0.592012 | + | 0.443318i | ||||
\(950\) | 779.846 | 0.820891 | ||||||||
\(951\) | −317.302 | + | 1184.19i | −0.333651 | + | 1.24520i | ||||
\(952\) | 150.993 | + | 261.528i | 0.158606 | + | 0.274714i | ||||
\(953\) | −807.423 | − | 466.166i | −0.847243 | − | 0.489156i | 0.0124765 | − | 0.999922i | \(-0.496029\pi\) |
−0.859720 | + | 0.510766i | \(0.829362\pi\) | |||||||
\(954\) | −8.91532 | − | 8.91532i | −0.00934520 | − | 0.00934520i | ||||
\(955\) | −265.295 | + | 71.0856i | −0.277796 | + | 0.0744351i | ||||
\(956\) | −101.249 | − | 377.866i | −0.105909 | − | 0.395258i | ||||
\(957\) | −687.051 | + | 687.051i | −0.717921 | + | 0.717921i | ||||
\(958\) | 240.091 | − | 415.850i | 0.250617 | − | 0.434081i | ||||
\(959\) | −30.6457 | + | 17.6933i | −0.0319559 | + | 0.0184498i | ||||
\(960\) | −159.383 | − | 42.7066i | −0.166024 | − | 0.0444860i | ||||
\(961\) | − | 813.246i | − | 0.846249i | ||||||
\(962\) | −108.475 | − | 43.4465i | −0.112760 | − | 0.0451627i | ||||
\(963\) | 14.0465 | 0.0145862 | ||||||||
\(964\) | −116.394 | + | 434.389i | −0.120741 | + | 0.450611i | ||||
\(965\) | −491.615 | − | 851.503i | −0.509446 | − | 0.882386i | ||||
\(966\) | 103.220 | + | 59.5939i | 0.106853 | + | 0.0616914i | ||||
\(967\) | −540.669 | − | 540.669i | −0.559120 | − | 0.559120i | 0.369937 | − | 0.929057i | \(-0.379379\pi\) |
−0.929057 | + | 0.369937i | \(0.879379\pi\) | |||||||
\(968\) | −233.209 | + | 62.4880i | −0.240918 | + | 0.0645538i | ||||
\(969\) | 503.382 | + | 1878.65i | 0.519486 | + | 1.93875i | ||||
\(970\) | −170.554 | + | 170.554i | −0.175829 | + | 0.175829i | ||||
\(971\) | −848.378 | + | 1469.43i | −0.873716 | + | 1.51332i | −0.0155919 | + | 0.999878i | \(0.504963\pi\) |
−0.858124 | + | 0.513442i | \(0.828370\pi\) | |||||||
\(972\) | −24.6905 | + | 14.2551i | −0.0254018 | + | 0.0146657i | ||||
\(973\) | 1037.79 | + | 278.074i | 1.06658 | + | 0.285790i | ||||
\(974\) | − | 305.164i | − | 0.313310i | ||||||
\(975\) | 511.624 | + | 650.791i | 0.524743 | + | 0.667478i | ||||
\(976\) | 92.2869 | 0.0945563 | ||||||||
\(977\) | 73.8571 | − | 275.638i | 0.0755958 | − | 0.282127i | −0.917772 | − | 0.397108i | \(-0.870014\pi\) |
0.993368 | + | 0.114981i | \(0.0366806\pi\) | |||||||
\(978\) | −260.951 | − | 451.980i | −0.266821 | − | 0.462148i | ||||
\(979\) | −44.7164 | − | 25.8170i | −0.0456756 | − | 0.0263708i | ||||
\(980\) | −283.720 | − | 283.720i | −0.289510 | − | 0.289510i | ||||
\(981\) | −19.2546 | + | 5.15926i | −0.0196275 | + | 0.00525918i | ||||
\(982\) | 203.230 | + | 758.464i | 0.206955 | + | 0.772367i | ||||
\(983\) | −41.0192 | + | 41.0192i | −0.0417286 | + | 0.0417286i | −0.727663 | − | 0.685935i | \(-0.759394\pi\) |
0.685935 | + | 0.727663i | \(0.259394\pi\) | |||||||
\(984\) | 314.068 | − | 543.982i | 0.319175 | − | 0.552827i | ||||
\(985\) | −908.647 | + | 524.607i | −0.922484 | + | 0.532596i | ||||
\(986\) | −735.950 | − | 197.197i | −0.746399 | − | 0.199997i | ||||
\(987\) | − | 145.138i | − | 0.147050i | ||||||
\(988\) | 81.4629 | − | 680.432i | 0.0824523 | − | 0.688696i | ||||
\(989\) | −195.801 | −0.197979 | ||||||||
\(990\) | 9.40908 | − | 35.1151i | 0.00950412 | − | 0.0354698i | ||||
\(991\) | −188.074 | − | 325.754i | −0.189782 | − | 0.328712i | 0.755395 | − | 0.655269i | \(-0.227445\pi\) |
−0.945178 | + | 0.326557i | \(0.894111\pi\) | |||||||
\(992\) | −59.5492 | − | 34.3807i | −0.0600294 | − | 0.0346580i | ||||
\(993\) | 965.046 | + | 965.046i | 0.971849 | + | 0.971849i | ||||
\(994\) | 13.7556 | − | 3.68579i | 0.0138386 | − | 0.00370804i | ||||
\(995\) | −456.628 | − | 1704.16i | −0.458922 | − | 1.71272i | ||||
\(996\) | −211.671 | + | 211.671i | −0.212521 | + | 0.212521i | ||||
\(997\) | 722.549 | − | 1251.49i | 0.724724 | − | 1.25526i | −0.234364 | − | 0.972149i | \(-0.575301\pi\) |
0.959088 | − | 0.283109i | \(-0.0913659\pi\) | |||||||
\(998\) | −695.624 | + | 401.619i | −0.697018 | + | 0.402424i | ||||
\(999\) | 163.243 | + | 43.7407i | 0.163406 | + | 0.0437845i |
(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 | 26.3.f.b.11.1 | ✓ | 8 | |
3.2 | odd | 2 | 234.3.bb.f.37.1 | 8 | |||
4.3 | odd | 2 | 208.3.bd.f.193.2 | 8 | |||
13.2 | odd | 12 | 338.3.d.g.239.3 | 8 | |||
13.3 | even | 3 | 338.3.d.g.99.3 | 8 | |||
13.4 | even | 6 | 338.3.f.j.319.1 | 8 | |||
13.5 | odd | 4 | 338.3.f.h.249.1 | 8 | |||
13.6 | odd | 12 | inner | 26.3.f.b.19.1 | yes | 8 | |
13.7 | odd | 12 | 338.3.f.i.19.1 | 8 | |||
13.8 | odd | 4 | 338.3.f.j.249.1 | 8 | |||
13.9 | even | 3 | 338.3.f.h.319.1 | 8 | |||
13.10 | even | 6 | 338.3.d.f.99.3 | 8 | |||
13.11 | odd | 12 | 338.3.d.f.239.3 | 8 | |||
13.12 | even | 2 | 338.3.f.i.89.1 | 8 | |||
39.32 | even | 12 | 234.3.bb.f.19.1 | 8 | |||
52.19 | even | 12 | 208.3.bd.f.97.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
26.3.f.b.11.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
26.3.f.b.19.1 | yes | 8 | 13.6 | odd | 12 | inner | |
208.3.bd.f.97.2 | 8 | 52.19 | even | 12 | |||
208.3.bd.f.193.2 | 8 | 4.3 | odd | 2 | |||
234.3.bb.f.19.1 | 8 | 39.32 | even | 12 | |||
234.3.bb.f.37.1 | 8 | 3.2 | odd | 2 | |||
338.3.d.f.99.3 | 8 | 13.10 | even | 6 | |||
338.3.d.f.239.3 | 8 | 13.11 | odd | 12 | |||
338.3.d.g.99.3 | 8 | 13.3 | even | 3 | |||
338.3.d.g.239.3 | 8 | 13.2 | odd | 12 | |||
338.3.f.h.249.1 | 8 | 13.5 | odd | 4 | |||
338.3.f.h.319.1 | 8 | 13.9 | even | 3 | |||
338.3.f.i.19.1 | 8 | 13.7 | odd | 12 | |||
338.3.f.i.89.1 | 8 | 13.12 | even | 2 | |||
338.3.f.j.249.1 | 8 | 13.8 | odd | 4 | |||
338.3.f.j.319.1 | 8 | 13.4 | even | 6 |