Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(71,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.n (of order \(5\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 18 x^{14} - 35 x^{13} + 89 x^{12} - 185 x^{11} + 837 x^{10} - 1660 x^{9} + 4196 x^{8} - 8420 x^{7} + 13485 x^{6} - 14630 x^{5} + 11615 x^{4} - 5200 x^{3} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 141.3 | ||
Root | \(0.295920 + 0.214999i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.141 |
Dual form | 770.2.n.k.71.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | −0.295920 | + | 0.214999i | −0.170850 | + | 0.124130i | −0.669924 | − | 0.742429i | \(-0.733673\pi\) |
0.499074 | + | 0.866559i | \(0.333673\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −0.309017 | − | 0.951057i | −0.138197 | − | 0.425325i | ||||
\(6\) | 0.113032 | + | 0.347875i | 0.0461449 | + | 0.142020i | ||||
\(7\) | 0.809017 | + | 0.587785i | 0.305780 | + | 0.222162i | ||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | −0.885707 | + | 2.72592i | −0.295236 | + | 0.908641i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | −2.13291 | + | 2.53982i | −0.643098 | + | 0.765784i | ||||
\(12\) | 0.365778 | 0.105591 | ||||||||
\(13\) | −0.679988 | + | 2.09279i | −0.188595 | + | 0.580435i | −0.999992 | − | 0.00406027i | \(-0.998708\pi\) |
0.811397 | + | 0.584496i | \(0.198708\pi\) | |||||||
\(14\) | 0.809017 | − | 0.587785i | 0.216219 | − | 0.157092i | ||||
\(15\) | 0.295920 | + | 0.214999i | 0.0764063 | + | 0.0555125i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 1.93547 | + | 5.95676i | 0.469420 | + | 1.44473i | 0.853338 | + | 0.521358i | \(0.174575\pi\) |
−0.383918 | + | 0.923367i | \(0.625425\pi\) | |||||||
\(18\) | 2.31881 | + | 1.68471i | 0.546549 | + | 0.397091i | ||||
\(19\) | 4.86192 | − | 3.53240i | 1.11540 | − | 0.810387i | 0.131896 | − | 0.991264i | \(-0.457893\pi\) |
0.983506 | + | 0.180876i | \(0.0578934\pi\) | |||||||
\(20\) | −0.309017 | + | 0.951057i | −0.0690983 | + | 0.212663i | ||||
\(21\) | −0.365778 | −0.0798193 | ||||||||
\(22\) | 1.75640 | + | 2.81337i | 0.374467 | + | 0.599812i | ||||
\(23\) | 0.452126 | 0.0942748 | 0.0471374 | − | 0.998888i | \(-0.484990\pi\) | ||||
0.0471374 | + | 0.998888i | \(0.484990\pi\) | |||||||
\(24\) | 0.113032 | − | 0.347875i | 0.0230725 | − | 0.0710098i | ||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | 1.78023 | + | 1.29341i | 0.349132 | + | 0.253660i | ||||
\(27\) | −0.663066 | − | 2.04071i | −0.127607 | − | 0.392735i | ||||
\(28\) | −0.309017 | − | 0.951057i | −0.0583987 | − | 0.179733i | ||||
\(29\) | 1.54336 | + | 1.12132i | 0.286595 | + | 0.208224i | 0.721789 | − | 0.692113i | \(-0.243320\pi\) |
−0.435194 | + | 0.900337i | \(0.643320\pi\) | |||||||
\(30\) | 0.295920 | − | 0.214999i | 0.0540274 | − | 0.0392532i | ||||
\(31\) | −1.86991 | + | 5.75500i | −0.335846 | + | 1.03363i | 0.630457 | + | 0.776224i | \(0.282867\pi\) |
−0.966304 | + | 0.257405i | \(0.917133\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0.0851150 | − | 1.21016i | 0.0148166 | − | 0.210662i | ||||
\(34\) | 6.26330 | 1.07415 | ||||||||
\(35\) | 0.309017 | − | 0.951057i | 0.0522334 | − | 0.160758i | ||||
\(36\) | 2.31881 | − | 1.68471i | 0.386468 | − | 0.280786i | ||||
\(37\) | −2.86494 | − | 2.08150i | −0.470994 | − | 0.342197i | 0.326835 | − | 0.945082i | \(-0.394018\pi\) |
−0.797829 | + | 0.602884i | \(0.794018\pi\) | |||||||
\(38\) | −1.85709 | − | 5.71554i | −0.301260 | − | 0.927182i | ||||
\(39\) | −0.248725 | − | 0.765496i | −0.0398278 | − | 0.122577i | ||||
\(40\) | 0.809017 | + | 0.587785i | 0.127917 | + | 0.0929370i | ||||
\(41\) | 0.0167272 | − | 0.0121531i | 0.00261236 | − | 0.00189799i | −0.586478 | − | 0.809965i | \(-0.699486\pi\) |
0.589091 | + | 0.808067i | \(0.299486\pi\) | |||||||
\(42\) | −0.113032 | + | 0.347875i | −0.0174411 | + | 0.0536783i | ||||
\(43\) | 3.71582 | 0.566657 | 0.283329 | − | 0.959023i | \(-0.408561\pi\) | ||||
0.283329 | + | 0.959023i | \(0.408561\pi\) | |||||||
\(44\) | 3.21843 | − | 0.801061i | 0.485197 | − | 0.120764i | ||||
\(45\) | 2.86621 | 0.427269 | ||||||||
\(46\) | 0.139715 | − | 0.429998i | 0.0205998 | − | 0.0633997i | ||||
\(47\) | −6.98448 | + | 5.07452i | −1.01879 | + | 0.740195i | −0.966035 | − | 0.258413i | \(-0.916801\pi\) |
−0.0527559 | + | 0.998607i | \(0.516801\pi\) | |||||||
\(48\) | −0.295920 | − | 0.214999i | −0.0427124 | − | 0.0310324i | ||||
\(49\) | 0.309017 | + | 0.951057i | 0.0441453 | + | 0.135865i | ||||
\(50\) | 0.309017 | + | 0.951057i | 0.0437016 | + | 0.134500i | ||||
\(51\) | −1.85344 | − | 1.34660i | −0.259534 | − | 0.188562i | ||||
\(52\) | 1.78023 | − | 1.29341i | 0.246874 | − | 0.179364i | ||||
\(53\) | 2.48301 | − | 7.64190i | 0.341067 | − | 1.04970i | −0.622589 | − | 0.782549i | \(-0.713919\pi\) |
0.963656 | − | 0.267147i | \(-0.0860809\pi\) | |||||||
\(54\) | −2.14573 | −0.291997 | ||||||||
\(55\) | 3.07462 | + | 1.24367i | 0.414581 | + | 0.167697i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | −0.679282 | + | 2.09062i | −0.0899731 | + | 0.276909i | ||||
\(58\) | 1.54336 | − | 1.12132i | 0.202653 | − | 0.147236i | ||||
\(59\) | 10.2971 | + | 7.48127i | 1.34057 | + | 0.973979i | 0.999423 | + | 0.0339680i | \(0.0108144\pi\) |
0.341144 | + | 0.940011i | \(0.389186\pi\) | |||||||
\(60\) | −0.113032 | − | 0.347875i | −0.0145923 | − | 0.0449105i | ||||
\(61\) | 1.86032 | + | 5.72548i | 0.238190 | + | 0.733073i | 0.996682 | + | 0.0813910i | \(0.0259363\pi\) |
−0.758492 | + | 0.651682i | \(0.774064\pi\) | |||||||
\(62\) | 4.89549 | + | 3.55679i | 0.621728 | + | 0.451712i | ||||
\(63\) | −2.31881 | + | 1.68471i | −0.292143 | + | 0.212254i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 2.20049 | 0.272937 | ||||||||
\(66\) | −1.12463 | − | 0.454909i | −0.138432 | − | 0.0559954i | ||||
\(67\) | 8.19469 | 1.00114 | 0.500570 | − | 0.865696i | \(-0.333124\pi\) | ||||
0.500570 | + | 0.865696i | \(0.333124\pi\) | |||||||
\(68\) | 1.93547 | − | 5.95676i | 0.234710 | − | 0.722363i | ||||
\(69\) | −0.133793 | + | 0.0972066i | −0.0161068 | + | 0.0117023i | ||||
\(70\) | −0.809017 | − | 0.587785i | −0.0966960 | − | 0.0702538i | ||||
\(71\) | 4.87028 | + | 14.9892i | 0.577995 | + | 1.77889i | 0.625745 | + | 0.780028i | \(0.284795\pi\) |
−0.0477498 | + | 0.998859i | \(0.515205\pi\) | |||||||
\(72\) | −0.885707 | − | 2.72592i | −0.104382 | − | 0.321253i | ||||
\(73\) | −10.3426 | − | 7.51437i | −1.21052 | − | 0.879491i | −0.215238 | − | 0.976562i | \(-0.569053\pi\) |
−0.995277 | + | 0.0970710i | \(0.969053\pi\) | |||||||
\(74\) | −2.86494 | + | 2.08150i | −0.333043 | + | 0.241970i | ||||
\(75\) | 0.113032 | − | 0.347875i | 0.0130518 | − | 0.0401692i | ||||
\(76\) | −6.00967 | −0.689356 | ||||||||
\(77\) | −3.21843 | + | 0.801061i | −0.366774 | + | 0.0912893i | ||||
\(78\) | −0.804890 | −0.0911358 | ||||||||
\(79\) | 3.32023 | − | 10.2186i | 0.373555 | − | 1.14969i | −0.570893 | − | 0.821025i | \(-0.693403\pi\) |
0.944448 | − | 0.328661i | \(-0.106597\pi\) | |||||||
\(80\) | 0.809017 | − | 0.587785i | 0.0904508 | − | 0.0657164i | ||||
\(81\) | −6.32146 | − | 4.59281i | −0.702385 | − | 0.510313i | ||||
\(82\) | −0.00638924 | − | 0.0196641i | −0.000705573 | − | 0.00217153i | ||||
\(83\) | 3.38927 | + | 10.4311i | 0.372021 | + | 1.14496i | 0.945467 | + | 0.325718i | \(0.105606\pi\) |
−0.573446 | + | 0.819243i | \(0.694394\pi\) | |||||||
\(84\) | 0.295920 | + | 0.214999i | 0.0322876 | + | 0.0234583i | ||||
\(85\) | 5.06712 | − | 3.68148i | 0.549606 | − | 0.399312i | ||||
\(86\) | 1.14825 | − | 3.53396i | 0.123819 | − | 0.381076i | ||||
\(87\) | −0.697795 | −0.0748115 | ||||||||
\(88\) | 0.232696 | − | 3.30845i | 0.0248055 | − | 0.352682i | ||||
\(89\) | −9.56469 | −1.01385 | −0.506927 | − | 0.861989i | \(-0.669219\pi\) | ||||
−0.506927 | + | 0.861989i | \(0.669219\pi\) | |||||||
\(90\) | 0.885707 | − | 2.72592i | 0.0933617 | − | 0.287338i | ||||
\(91\) | −1.78023 | + | 1.29341i | −0.186619 | + | 0.135587i | ||||
\(92\) | −0.365778 | − | 0.265753i | −0.0381350 | − | 0.0277067i | ||||
\(93\) | −0.683973 | − | 2.10505i | −0.0709247 | − | 0.218284i | ||||
\(94\) | 2.66783 | + | 8.21074i | 0.275166 | + | 0.846873i | ||||
\(95\) | −4.86192 | − | 3.53240i | −0.498823 | − | 0.362416i | ||||
\(96\) | −0.295920 | + | 0.214999i | −0.0302023 | + | 0.0219432i | ||||
\(97\) | −1.30581 | + | 4.01887i | −0.132585 | + | 0.408054i | −0.995207 | − | 0.0977955i | \(-0.968821\pi\) |
0.862622 | + | 0.505850i | \(0.168821\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | −5.03422 | − | 8.06370i | −0.505958 | − | 0.810432i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | −3.10608 | + | 9.55954i | −0.309067 | + | 0.951209i | 0.669062 | + | 0.743207i | \(0.266696\pi\) |
−0.978128 | + | 0.208002i | \(0.933304\pi\) | |||||||
\(102\) | −1.85344 | + | 1.34660i | −0.183518 | + | 0.133334i | ||||
\(103\) | −11.8704 | − | 8.62434i | −1.16962 | − | 0.849781i | −0.178659 | − | 0.983911i | \(-0.557176\pi\) |
−0.990964 | + | 0.134130i | \(0.957176\pi\) | |||||||
\(104\) | −0.679988 | − | 2.09279i | −0.0666784 | − | 0.205215i | ||||
\(105\) | 0.113032 | + | 0.347875i | 0.0110308 | + | 0.0339492i | ||||
\(106\) | −6.50059 | − | 4.72296i | −0.631393 | − | 0.458734i | ||||
\(107\) | 1.49721 | − | 1.08778i | 0.144740 | − | 0.105160i | −0.513059 | − | 0.858354i | \(-0.671488\pi\) |
0.657799 | + | 0.753194i | \(0.271488\pi\) | |||||||
\(108\) | −0.663066 | + | 2.04071i | −0.0638036 | + | 0.196367i | ||||
\(109\) | −16.3800 | −1.56892 | −0.784459 | − | 0.620181i | \(-0.787059\pi\) | ||||
−0.784459 | + | 0.620181i | \(0.787059\pi\) | |||||||
\(110\) | 2.13291 | − | 2.53982i | 0.203365 | − | 0.242162i | ||||
\(111\) | 1.29532 | 0.122946 | ||||||||
\(112\) | −0.309017 | + | 0.951057i | −0.0291994 | + | 0.0898664i | ||||
\(113\) | 8.71200 | − | 6.32964i | 0.819556 | − | 0.595442i | −0.0970291 | − | 0.995282i | \(-0.530934\pi\) |
0.916585 | + | 0.399839i | \(0.130934\pi\) | |||||||
\(114\) | 1.77838 | + | 1.29207i | 0.166561 | + | 0.121014i | ||||
\(115\) | −0.139715 | − | 0.429998i | −0.0130285 | − | 0.0400975i | ||||
\(116\) | −0.589512 | − | 1.81433i | −0.0547348 | − | 0.168456i | ||||
\(117\) | −5.10252 | − | 3.70719i | −0.471728 | − | 0.342730i | ||||
\(118\) | 10.2971 | − | 7.48127i | 0.947924 | − | 0.688707i | ||||
\(119\) | −1.93547 | + | 5.95676i | −0.177424 | + | 0.546055i | ||||
\(120\) | −0.365778 | −0.0333908 | ||||||||
\(121\) | −1.90135 | − | 10.8344i | −0.172850 | − | 0.984948i | ||||
\(122\) | 6.02013 | 0.545037 | ||||||||
\(123\) | −0.00233704 | + | 0.00719267i | −0.000210724 | + | 0.000648542i | ||||
\(124\) | 4.89549 | − | 3.55679i | 0.439628 | − | 0.319409i | ||||
\(125\) | 0.809017 | + | 0.587785i | 0.0723607 | + | 0.0525731i | ||||
\(126\) | 0.885707 | + | 2.72592i | 0.0789050 | + | 0.242845i | ||||
\(127\) | 1.37301 | + | 4.22569i | 0.121835 | + | 0.374969i | 0.993311 | − | 0.115468i | \(-0.0368369\pi\) |
−0.871476 | + | 0.490438i | \(0.836837\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | −1.09959 | + | 0.798897i | −0.0968133 | + | 0.0703390i | ||||
\(130\) | 0.679988 | − | 2.09279i | 0.0596389 | − | 0.183550i | ||||
\(131\) | −2.54949 | −0.222750 | −0.111375 | − | 0.993778i | \(-0.535526\pi\) | ||||
−0.111375 | + | 0.993778i | \(0.535526\pi\) | |||||||
\(132\) | −0.780173 | + | 0.929009i | −0.0679053 | + | 0.0808599i | ||||
\(133\) | 6.00967 | 0.521104 | ||||||||
\(134\) | 2.53230 | − | 7.79361i | 0.218757 | − | 0.673265i | ||||
\(135\) | −1.73593 | + | 1.26123i | −0.149405 | + | 0.108549i | ||||
\(136\) | −5.06712 | − | 3.68148i | −0.434502 | − | 0.315684i | ||||
\(137\) | −4.68562 | − | 14.4208i | −0.400319 | − | 1.23206i | −0.924741 | − | 0.380597i | \(-0.875719\pi\) |
0.524422 | − | 0.851459i | \(-0.324281\pi\) | |||||||
\(138\) | 0.0511045 | + | 0.157284i | 0.00435031 | + | 0.0133889i | ||||
\(139\) | −3.69344 | − | 2.68344i | −0.313273 | − | 0.227606i | 0.420026 | − | 0.907512i | \(-0.362021\pi\) |
−0.733300 | + | 0.679905i | \(0.762021\pi\) | |||||||
\(140\) | −0.809017 | + | 0.587785i | −0.0683744 | + | 0.0496769i | ||||
\(141\) | 0.975834 | − | 3.00331i | 0.0821800 | − | 0.252924i | ||||
\(142\) | 15.7605 | 1.32260 | ||||||||
\(143\) | −3.86495 | − | 6.19079i | −0.323203 | − | 0.517700i | ||||
\(144\) | −2.86621 | −0.238851 | ||||||||
\(145\) | 0.589512 | − | 1.81433i | 0.0489563 | − | 0.150672i | ||||
\(146\) | −10.3426 | + | 7.51437i | −0.855963 | + | 0.621894i | ||||
\(147\) | −0.295920 | − | 0.214999i | −0.0244071 | − | 0.0177328i | ||||
\(148\) | 1.09431 | + | 3.36794i | 0.0899519 | + | 0.276843i | ||||
\(149\) | 4.29884 | + | 13.2305i | 0.352175 | + | 1.08388i | 0.957630 | + | 0.288002i | \(0.0929911\pi\) |
−0.605455 | + | 0.795879i | \(0.707009\pi\) | |||||||
\(150\) | −0.295920 | − | 0.214999i | −0.0241618 | − | 0.0175546i | ||||
\(151\) | −3.05829 | + | 2.22197i | −0.248880 | + | 0.180822i | −0.705230 | − | 0.708978i | \(-0.749156\pi\) |
0.456350 | + | 0.889800i | \(0.349156\pi\) | |||||||
\(152\) | −1.85709 | + | 5.71554i | −0.150630 | + | 0.463591i | ||||
\(153\) | −17.9519 | −1.45133 | ||||||||
\(154\) | −0.232696 | + | 3.30845i | −0.0187512 | + | 0.266603i | ||||
\(155\) | 6.05116 | 0.486041 | ||||||||
\(156\) | −0.248725 | + | 0.765496i | −0.0199139 | + | 0.0612887i | ||||
\(157\) | −10.2569 | + | 7.45207i | −0.818590 | + | 0.594740i | −0.916308 | − | 0.400474i | \(-0.868846\pi\) |
0.0977184 | + | 0.995214i | \(0.468846\pi\) | |||||||
\(158\) | −8.69249 | − | 6.31546i | −0.691537 | − | 0.502431i | ||||
\(159\) | 0.908228 | + | 2.79524i | 0.0720272 | + | 0.221677i | ||||
\(160\) | −0.309017 | − | 0.951057i | −0.0244299 | − | 0.0751876i | ||||
\(161\) | 0.365778 | + | 0.265753i | 0.0288273 | + | 0.0209443i | ||||
\(162\) | −6.32146 | + | 4.59281i | −0.496661 | + | 0.360845i | ||||
\(163\) | 5.82602 | − | 17.9306i | 0.456329 | − | 1.40444i | −0.413239 | − | 0.910623i | \(-0.635603\pi\) |
0.869568 | − | 0.493813i | \(-0.164397\pi\) | |||||||
\(164\) | −0.0206760 | −0.00161452 | ||||||||
\(165\) | −1.17723 | + | 0.293010i | −0.0916473 | + | 0.0228108i | ||||
\(166\) | 10.9679 | 0.851274 | ||||||||
\(167\) | 4.81553 | − | 14.8207i | 0.372637 | − | 1.14686i | −0.572422 | − | 0.819959i | \(-0.693996\pi\) |
0.945059 | − | 0.326899i | \(-0.106004\pi\) | |||||||
\(168\) | 0.295920 | − | 0.214999i | 0.0228308 | − | 0.0165875i | ||||
\(169\) | 6.59984 | + | 4.79506i | 0.507680 | + | 0.368851i | ||||
\(170\) | −1.93547 | − | 5.95676i | −0.148444 | − | 0.456862i | ||||
\(171\) | 5.32280 | + | 16.3819i | 0.407045 | + | 1.25276i | ||||
\(172\) | −3.00616 | − | 2.18410i | −0.229218 | − | 0.166536i | ||||
\(173\) | −5.49440 | + | 3.99191i | −0.417731 | + | 0.303500i | −0.776724 | − | 0.629841i | \(-0.783120\pi\) |
0.358993 | + | 0.933340i | \(0.383120\pi\) | |||||||
\(174\) | −0.215630 | + | 0.663642i | −0.0163469 | + | 0.0503106i | ||||
\(175\) | −1.00000 | −0.0755929 | ||||||||
\(176\) | −3.07462 | − | 1.24367i | −0.231758 | − | 0.0937455i | ||||
\(177\) | −4.65559 | −0.349935 | ||||||||
\(178\) | −2.95565 | + | 9.09656i | −0.221535 | + | 0.681816i | ||||
\(179\) | 19.1974 | − | 13.9478i | 1.43488 | − | 1.04250i | 0.445804 | − | 0.895131i | \(-0.352918\pi\) |
0.989081 | − | 0.147374i | \(-0.0470821\pi\) | |||||||
\(180\) | −2.31881 | − | 1.68471i | −0.172834 | − | 0.125571i | ||||
\(181\) | 4.49101 | + | 13.8219i | 0.333814 | + | 1.02737i | 0.967303 | + | 0.253622i | \(0.0816220\pi\) |
−0.633489 | + | 0.773751i | \(0.718378\pi\) | |||||||
\(182\) | 0.679988 | + | 2.09279i | 0.0504041 | + | 0.155128i | ||||
\(183\) | −1.78148 | − | 1.29432i | −0.131691 | − | 0.0956789i | ||||
\(184\) | −0.365778 | + | 0.265753i | −0.0269655 | + | 0.0195916i | ||||
\(185\) | −1.09431 | + | 3.36794i | −0.0804554 | + | 0.247616i | ||||
\(186\) | −2.21338 | −0.162293 | ||||||||
\(187\) | −19.2573 | − | 7.78951i | −1.40823 | − | 0.569626i | ||||
\(188\) | 8.63329 | 0.629647 | ||||||||
\(189\) | 0.663066 | − | 2.04071i | 0.0482310 | − | 0.148440i | ||||
\(190\) | −4.86192 | + | 3.53240i | −0.352721 | + | 0.256267i | ||||
\(191\) | 5.45507 | + | 3.96334i | 0.394715 | + | 0.286777i | 0.767385 | − | 0.641187i | \(-0.221558\pi\) |
−0.372670 | + | 0.927964i | \(0.621558\pi\) | |||||||
\(192\) | 0.113032 | + | 0.347875i | 0.00815735 | + | 0.0251057i | ||||
\(193\) | −3.24216 | − | 9.97834i | −0.233376 | − | 0.718256i | −0.997333 | − | 0.0729893i | \(-0.976746\pi\) |
0.763957 | − | 0.645267i | \(-0.223254\pi\) | |||||||
\(194\) | 3.41865 | + | 2.48380i | 0.245445 | + | 0.178326i | ||||
\(195\) | −0.651170 | + | 0.473102i | −0.0466312 | + | 0.0338796i | ||||
\(196\) | 0.309017 | − | 0.951057i | 0.0220726 | − | 0.0679326i | ||||
\(197\) | −8.40324 | −0.598706 | −0.299353 | − | 0.954142i | \(-0.596771\pi\) | ||||
−0.299353 | + | 0.954142i | \(0.596771\pi\) | |||||||
\(198\) | −9.22469 | + | 2.29601i | −0.655570 | + | 0.163170i | ||||
\(199\) | 5.41088 | 0.383567 | 0.191783 | − | 0.981437i | \(-0.438573\pi\) | ||||
0.191783 | + | 0.981437i | \(0.438573\pi\) | |||||||
\(200\) | 0.309017 | − | 0.951057i | 0.0218508 | − | 0.0672499i | ||||
\(201\) | −2.42498 | + | 1.76185i | −0.171045 | + | 0.124271i | ||||
\(202\) | 8.13183 | + | 5.90812i | 0.572153 | + | 0.415694i | ||||
\(203\) | 0.589512 | + | 1.81433i | 0.0413756 | + | 0.127341i | ||||
\(204\) | 0.707951 | + | 2.17885i | 0.0495665 | + | 0.152550i | ||||
\(205\) | −0.0167272 | − | 0.0121531i | −0.00116828 | − | 0.000848806i | ||||
\(206\) | −11.8704 | + | 8.62434i | −0.827049 | + | 0.600886i | ||||
\(207\) | −0.400451 | + | 1.23246i | −0.0278333 | + | 0.0856620i | ||||
\(208\) | −2.20049 | −0.152576 | ||||||||
\(209\) | −1.39843 | + | 19.8827i | −0.0967312 | + | 1.37532i | ||||
\(210\) | 0.365778 | 0.0252411 | ||||||||
\(211\) | 2.63712 | − | 8.11623i | 0.181547 | − | 0.558745i | −0.818325 | − | 0.574756i | \(-0.805097\pi\) |
0.999872 | + | 0.0160117i | \(0.00509689\pi\) | |||||||
\(212\) | −6.50059 | + | 4.72296i | −0.446462 | + | 0.324374i | ||||
\(213\) | −4.66387 | − | 3.38850i | −0.319563 | − | 0.232176i | ||||
\(214\) | −0.571882 | − | 1.76007i | −0.0390931 | − | 0.120316i | ||||
\(215\) | −1.14825 | − | 3.53396i | −0.0783101 | − | 0.241014i | ||||
\(216\) | 1.73593 | + | 1.26123i | 0.118115 | + | 0.0858157i | ||||
\(217\) | −4.89549 | + | 3.55679i | −0.332328 | + | 0.241450i | ||||
\(218\) | −5.06169 | + | 15.5783i | −0.342821 | + | 1.05509i | ||||
\(219\) | 4.67618 | 0.315987 | ||||||||
\(220\) | −1.75640 | − | 2.81337i | −0.118417 | − | 0.189677i | ||||
\(221\) | −13.7823 | −0.927100 | ||||||||
\(222\) | 0.400275 | − | 1.23192i | 0.0268647 | − | 0.0826810i | ||||
\(223\) | 15.8930 | − | 11.5470i | 1.06428 | − | 0.773243i | 0.0894024 | − | 0.995996i | \(-0.471504\pi\) |
0.974875 | + | 0.222753i | \(0.0715043\pi\) | |||||||
\(224\) | 0.809017 | + | 0.587785i | 0.0540547 | + | 0.0392731i | ||||
\(225\) | −0.885707 | − | 2.72592i | −0.0590471 | − | 0.181728i | ||||
\(226\) | −3.32769 | − | 10.2416i | −0.221355 | − | 0.681259i | ||||
\(227\) | −1.92337 | − | 1.39741i | −0.127659 | − | 0.0927496i | 0.522124 | − | 0.852870i | \(-0.325140\pi\) |
−0.649782 | + | 0.760120i | \(0.725140\pi\) | |||||||
\(228\) | 1.77838 | − | 1.29207i | 0.117776 | − | 0.0855695i | ||||
\(229\) | 3.00685 | − | 9.25415i | 0.198699 | − | 0.611531i | −0.801215 | − | 0.598377i | \(-0.795813\pi\) |
0.999913 | − | 0.0131546i | \(-0.00418736\pi\) | |||||||
\(230\) | −0.452126 | −0.0298123 | ||||||||
\(231\) | 0.780173 | − | 0.929009i | 0.0513316 | − | 0.0611243i | ||||
\(232\) | −1.90770 | −0.125247 | ||||||||
\(233\) | 5.70261 | − | 17.5508i | 0.373591 | − | 1.14979i | −0.570834 | − | 0.821066i | \(-0.693380\pi\) |
0.944425 | − | 0.328728i | \(-0.106620\pi\) | |||||||
\(234\) | −5.10252 | + | 3.70719i | −0.333562 | + | 0.242347i | ||||
\(235\) | 6.98448 | + | 5.07452i | 0.455617 | + | 0.331025i | ||||
\(236\) | −3.93314 | − | 12.1050i | −0.256026 | − | 0.787966i | ||||
\(237\) | 1.21447 | + | 3.73775i | 0.0788882 | + | 0.242793i | ||||
\(238\) | 5.06712 | + | 3.68148i | 0.328453 | + | 0.238635i | ||||
\(239\) | −14.2442 | + | 10.3490i | −0.921381 | + | 0.669422i | −0.943867 | − | 0.330325i | \(-0.892842\pi\) |
0.0224865 | + | 0.999747i | \(0.492842\pi\) | |||||||
\(240\) | −0.113032 | + | 0.347875i | −0.00729616 | + | 0.0224553i | ||||
\(241\) | 17.4835 | 1.12621 | 0.563105 | − | 0.826385i | \(-0.309607\pi\) | ||||
0.563105 | + | 0.826385i | \(0.309607\pi\) | |||||||
\(242\) | −10.8917 | − | 1.53973i | −0.700145 | − | 0.0989774i | ||||
\(243\) | 9.29528 | 0.596293 | ||||||||
\(244\) | 1.86032 | − | 5.72548i | 0.119095 | − | 0.366536i | ||||
\(245\) | 0.809017 | − | 0.587785i | 0.0516862 | − | 0.0375522i | ||||
\(246\) | 0.00611845 | + | 0.00444532i | 0.000390098 | + | 0.000283423i | ||||
\(247\) | 4.08651 | + | 12.5770i | 0.260018 | + | 0.800254i | ||||
\(248\) | −1.86991 | − | 5.75500i | −0.118740 | − | 0.365443i | ||||
\(249\) | −3.24563 | − | 2.35809i | −0.205683 | − | 0.149438i | ||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | −7.09456 | + | 21.8348i | −0.447805 | + | 1.37820i | 0.431574 | + | 0.902078i | \(0.357958\pi\) |
−0.879379 | + | 0.476123i | \(0.842042\pi\) | |||||||
\(252\) | 2.86621 | 0.180554 | ||||||||
\(253\) | −0.964346 | + | 1.14832i | −0.0606279 | + | 0.0721942i | ||||
\(254\) | 4.44315 | 0.278788 | ||||||||
\(255\) | −0.707951 | + | 2.17885i | −0.0443336 | + | 0.136445i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −11.5373 | − | 8.38233i | −0.719676 | − | 0.522875i | 0.166604 | − | 0.986024i | \(-0.446720\pi\) |
−0.886281 | + | 0.463148i | \(0.846720\pi\) | |||||||
\(258\) | 0.420005 | + | 1.29264i | 0.0261484 | + | 0.0804764i | ||||
\(259\) | −1.09431 | − | 3.36794i | −0.0679972 | − | 0.209274i | ||||
\(260\) | −1.78023 | − | 1.29341i | −0.110405 | − | 0.0802142i | ||||
\(261\) | −4.42360 | + | 3.21393i | −0.273814 | + | 0.198937i | ||||
\(262\) | −0.787837 | + | 2.42471i | −0.0486727 | + | 0.149799i | ||||
\(263\) | 9.29262 | 0.573007 | 0.286504 | − | 0.958079i | \(-0.407507\pi\) | ||||
0.286504 | + | 0.958079i | \(0.407507\pi\) | |||||||
\(264\) | 0.642454 | + | 1.02907i | 0.0395403 | + | 0.0633348i | ||||
\(265\) | −8.03517 | −0.493597 | ||||||||
\(266\) | 1.85709 | − | 5.71554i | 0.113865 | − | 0.350442i | ||||
\(267\) | 2.83039 | − | 2.05640i | 0.173217 | − | 0.125849i | ||||
\(268\) | −6.62964 | − | 4.81672i | −0.404970 | − | 0.294228i | ||||
\(269\) | 0.364312 | + | 1.12124i | 0.0222125 | + | 0.0683629i | 0.961548 | − | 0.274636i | \(-0.0885573\pi\) |
−0.939336 | + | 0.342999i | \(0.888557\pi\) | |||||||
\(270\) | 0.663066 | + | 2.04071i | 0.0403529 | + | 0.124194i | ||||
\(271\) | 6.57300 | + | 4.77556i | 0.399281 | + | 0.290095i | 0.769248 | − | 0.638950i | \(-0.220631\pi\) |
−0.369967 | + | 0.929045i | \(0.620631\pi\) | |||||||
\(272\) | −5.06712 | + | 3.68148i | −0.307239 | + | 0.223222i | ||||
\(273\) | 0.248725 | − | 0.765496i | 0.0150535 | − | 0.0463299i | ||||
\(274\) | −15.1630 | −0.916028 | ||||||||
\(275\) | 0.232696 | − | 3.30845i | 0.0140321 | − | 0.199507i | ||||
\(276\) | 0.165378 | 0.00995457 | ||||||||
\(277\) | 2.54334 | − | 7.82760i | 0.152814 | − | 0.470315i | −0.845118 | − | 0.534579i | \(-0.820470\pi\) |
0.997933 | + | 0.0642645i | \(0.0204701\pi\) | |||||||
\(278\) | −3.69344 | + | 2.68344i | −0.221518 | + | 0.160942i | ||||
\(279\) | −14.0315 | − | 10.1945i | −0.840044 | − | 0.610328i | ||||
\(280\) | 0.309017 | + | 0.951057i | 0.0184673 | + | 0.0568365i | ||||
\(281\) | 6.51179 | + | 20.0412i | 0.388461 | + | 1.19556i | 0.933938 | + | 0.357435i | \(0.116348\pi\) |
−0.545477 | + | 0.838126i | \(0.683652\pi\) | |||||||
\(282\) | −2.55477 | − | 1.85615i | −0.152134 | − | 0.110532i | ||||
\(283\) | −0.378928 | + | 0.275307i | −0.0225249 | + | 0.0163653i | −0.598991 | − | 0.800756i | \(-0.704431\pi\) |
0.576466 | + | 0.817121i | \(0.304431\pi\) | |||||||
\(284\) | 4.87028 | − | 14.9892i | 0.288998 | − | 0.889443i | ||||
\(285\) | 2.19820 | 0.130210 | ||||||||
\(286\) | −7.08212 | + | 1.76273i | −0.418775 | + | 0.104232i | ||||
\(287\) | 0.0206760 | 0.00122047 | ||||||||
\(288\) | −0.885707 | + | 2.72592i | −0.0521908 | + | 0.160627i | ||||
\(289\) | −17.9836 | + | 13.0659i | −1.05786 | + | 0.768581i | ||||
\(290\) | −1.54336 | − | 1.12132i | −0.0906294 | − | 0.0658461i | ||||
\(291\) | −0.477636 | − | 1.47001i | −0.0279995 | − | 0.0861736i | ||||
\(292\) | 3.95054 | + | 12.1585i | 0.231188 | + | 0.711523i | ||||
\(293\) | 5.43588 | + | 3.94940i | 0.317567 | + | 0.230726i | 0.735137 | − | 0.677919i | \(-0.237118\pi\) |
−0.417569 | + | 0.908645i | \(0.637118\pi\) | |||||||
\(294\) | −0.295920 | + | 0.214999i | −0.0172584 | + | 0.0125390i | ||||
\(295\) | 3.93314 | − | 12.1050i | 0.228996 | − | 0.704778i | ||||
\(296\) | 3.54127 | 0.205832 | ||||||||
\(297\) | 6.59729 | + | 2.66859i | 0.382814 | + | 0.154847i | ||||
\(298\) | 13.9113 | 0.805862 | ||||||||
\(299\) | −0.307441 | + | 0.946205i | −0.0177798 | + | 0.0547204i | ||||
\(300\) | −0.295920 | + | 0.214999i | −0.0170850 | + | 0.0124130i | ||||
\(301\) | 3.00616 | + | 2.18410i | 0.173272 | + | 0.125890i | ||||
\(302\) | 1.16816 | + | 3.59523i | 0.0672201 | + | 0.206882i | ||||
\(303\) | −1.13614 | − | 3.49667i | −0.0652693 | − | 0.200878i | ||||
\(304\) | 4.86192 | + | 3.53240i | 0.278851 | + | 0.202597i | ||||
\(305\) | 4.87039 | − | 3.53854i | 0.278877 | − | 0.202616i | ||||
\(306\) | −5.54745 | + | 17.0733i | −0.317127 | + | 0.976015i | ||||
\(307\) | 22.7190 | 1.29664 | 0.648321 | − | 0.761367i | \(-0.275471\pi\) | ||||
0.648321 | + | 0.761367i | \(0.275471\pi\) | |||||||
\(308\) | 3.07462 | + | 1.24367i | 0.175193 | + | 0.0708650i | ||||
\(309\) | 5.36691 | 0.305313 | ||||||||
\(310\) | 1.86991 | − | 5.75500i | 0.106204 | − | 0.326862i | ||||
\(311\) | 17.1596 | − | 12.4672i | 0.973034 | − | 0.706951i | 0.0168931 | − | 0.999857i | \(-0.494623\pi\) |
0.956141 | + | 0.292907i | \(0.0946225\pi\) | |||||||
\(312\) | 0.651170 | + | 0.473102i | 0.0368652 | + | 0.0267842i | ||||
\(313\) | −1.14359 | − | 3.51962i | −0.0646397 | − | 0.198941i | 0.913521 | − | 0.406793i | \(-0.133353\pi\) |
−0.978160 | + | 0.207852i | \(0.933353\pi\) | |||||||
\(314\) | 3.91779 | + | 12.0577i | 0.221094 | + | 0.680456i | ||||
\(315\) | 2.31881 | + | 1.68471i | 0.130650 | + | 0.0949229i | ||||
\(316\) | −8.69249 | + | 6.31546i | −0.488990 | + | 0.355272i | ||||
\(317\) | −2.38273 | + | 7.33328i | −0.133827 | + | 0.411878i | −0.995406 | − | 0.0957463i | \(-0.969476\pi\) |
0.861578 | + | 0.507624i | \(0.169476\pi\) | |||||||
\(318\) | 2.93909 | 0.164816 | ||||||||
\(319\) | −6.13981 | + | 1.52818i | −0.343763 | + | 0.0855619i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | −0.209182 | + | 0.643795i | −0.0116754 | + | 0.0359332i | ||||
\(322\) | 0.365778 | − | 0.265753i | 0.0203840 | − | 0.0148098i | ||||
\(323\) | 30.4517 | + | 22.1245i | 1.69438 | + | 1.23104i | ||||
\(324\) | 2.41458 | + | 7.43133i | 0.134144 | + | 0.412852i | ||||
\(325\) | −0.679988 | − | 2.09279i | −0.0377190 | − | 0.116087i | ||||
\(326\) | −15.2527 | − | 11.0817i | −0.844769 | − | 0.613761i | ||||
\(327\) | 4.84717 | − | 3.52168i | 0.268049 | − | 0.194749i | ||||
\(328\) | −0.00638924 | + | 0.0196641i | −0.000352787 | + | 0.00108577i | ||||
\(329\) | −8.63329 | −0.475968 | ||||||||
\(330\) | −0.0851150 | + | 1.21016i | −0.00468543 | + | 0.0666170i | ||||
\(331\) | 32.2493 | 1.77258 | 0.886291 | − | 0.463128i | \(-0.153273\pi\) | ||||
0.886291 | + | 0.463128i | \(0.153273\pi\) | |||||||
\(332\) | 3.38927 | − | 10.4311i | 0.186010 | − | 0.572481i | ||||
\(333\) | 8.21152 | − | 5.96602i | 0.449989 | − | 0.326936i | ||||
\(334\) | −12.6072 | − | 9.15968i | −0.689836 | − | 0.501195i | ||||
\(335\) | −2.53230 | − | 7.79361i | −0.138354 | − | 0.425810i | ||||
\(336\) | −0.113032 | − | 0.347875i | −0.00616638 | − | 0.0189782i | ||||
\(337\) | −26.8716 | − | 19.5234i | −1.46379 | − | 1.06351i | −0.982355 | − | 0.187026i | \(-0.940115\pi\) |
−0.481437 | − | 0.876481i | \(-0.659885\pi\) | |||||||
\(338\) | 6.59984 | − | 4.79506i | 0.358984 | − | 0.260817i | ||||
\(339\) | −1.21719 | + | 3.74614i | −0.0661089 | + | 0.203462i | ||||
\(340\) | −6.26330 | −0.339675 | ||||||||
\(341\) | −10.6283 | − | 17.0242i | −0.575554 | − | 0.921910i | ||||
\(342\) | 17.2250 | 0.931419 | ||||||||
\(343\) | −0.309017 | + | 0.951057i | −0.0166853 | + | 0.0513522i | ||||
\(344\) | −3.00616 | + | 2.18410i | −0.162081 | + | 0.117759i | ||||
\(345\) | 0.133793 | + | 0.0972066i | 0.00720320 | + | 0.00523343i | ||||
\(346\) | 2.09867 | + | 6.45905i | 0.112825 | + | 0.347241i | ||||
\(347\) | −1.04380 | − | 3.21248i | −0.0560340 | − | 0.172455i | 0.919123 | − | 0.393972i | \(-0.128899\pi\) |
−0.975157 | + | 0.221517i | \(0.928899\pi\) | |||||||
\(348\) | 0.564528 | + | 0.410154i | 0.0302619 | + | 0.0219865i | ||||
\(349\) | 25.4126 | − | 18.4634i | 1.36031 | − | 0.988321i | 0.361881 | − | 0.932224i | \(-0.382135\pi\) |
0.998425 | − | 0.0560966i | \(-0.0178655\pi\) | |||||||
\(350\) | −0.309017 | + | 0.951057i | −0.0165177 | + | 0.0508361i | ||||
\(351\) | 4.72165 | 0.252023 | ||||||||
\(352\) | −2.13291 | + | 2.53982i | −0.113685 | + | 0.135373i | ||||
\(353\) | 34.9041 | 1.85776 | 0.928879 | − | 0.370383i | \(-0.120774\pi\) | ||||
0.928879 | + | 0.370383i | \(0.120774\pi\) | |||||||
\(354\) | −1.43865 | + | 4.42772i | −0.0764636 | + | 0.235331i | ||||
\(355\) | 12.7505 | − | 9.26381i | 0.676729 | − | 0.491672i | ||||
\(356\) | 7.73799 | + | 5.62198i | 0.410113 | + | 0.297964i | ||||
\(357\) | −0.707951 | − | 2.17885i | −0.0374687 | − | 0.115317i | ||||
\(358\) | −7.33277 | − | 22.5680i | −0.387549 | − | 1.19275i | ||||
\(359\) | −26.2740 | − | 19.0892i | −1.38669 | − | 1.00749i | −0.996219 | − | 0.0868741i | \(-0.972312\pi\) |
−0.390471 | − | 0.920615i | \(-0.627688\pi\) | |||||||
\(360\) | −2.31881 | + | 1.68471i | −0.122212 | + | 0.0887922i | ||||
\(361\) | 5.28917 | − | 16.2784i | 0.278378 | − | 0.856758i | ||||
\(362\) | 14.5332 | 0.763848 | ||||||||
\(363\) | 2.89204 | + | 2.79734i | 0.151793 | + | 0.146822i | ||||
\(364\) | 2.20049 | 0.115337 | ||||||||
\(365\) | −3.95054 | + | 12.1585i | −0.206781 | + | 0.636405i | ||||
\(366\) | −1.78148 | + | 1.29432i | −0.0931194 | + | 0.0676552i | ||||
\(367\) | 23.2421 | + | 16.8864i | 1.21323 | + | 0.881463i | 0.995520 | − | 0.0945504i | \(-0.0301413\pi\) |
0.217710 | + | 0.976014i | \(0.430141\pi\) | |||||||
\(368\) | 0.139715 | + | 0.429998i | 0.00728313 | + | 0.0224152i | ||||
\(369\) | 0.0183129 | + | 0.0563612i | 0.000953330 | + | 0.00293405i | ||||
\(370\) | 2.86494 | + | 2.08150i | 0.148941 | + | 0.108212i | ||||
\(371\) | 6.50059 | − | 4.72296i | 0.337494 | − | 0.245204i | ||||
\(372\) | −0.683973 | + | 2.10505i | −0.0354623 | + | 0.109142i | ||||
\(373\) | −36.4802 | −1.88887 | −0.944437 | − | 0.328691i | \(-0.893392\pi\) | ||||
−0.944437 | + | 0.328691i | \(0.893392\pi\) | |||||||
\(374\) | −13.3591 | + | 15.9077i | −0.690782 | + | 0.822565i | ||||
\(375\) | −0.365778 | −0.0188887 | ||||||||
\(376\) | 2.66783 | − | 8.21074i | 0.137583 | − | 0.423437i | ||||
\(377\) | −3.39615 | + | 2.46745i | −0.174911 | + | 0.127080i | ||||
\(378\) | −1.73593 | − | 1.26123i | −0.0892866 | − | 0.0648705i | ||||
\(379\) | 0.0924189 | + | 0.284436i | 0.00474724 | + | 0.0146105i | 0.953402 | − | 0.301703i | \(-0.0975550\pi\) |
−0.948655 | + | 0.316313i | \(0.897555\pi\) | |||||||
\(380\) | 1.85709 | + | 5.71554i | 0.0952667 | + | 0.293201i | ||||
\(381\) | −1.31482 | − | 0.955273i | −0.0673603 | − | 0.0489401i | ||||
\(382\) | 5.45507 | − | 3.96334i | 0.279106 | − | 0.202782i | ||||
\(383\) | −4.85220 | + | 14.9335i | −0.247936 | + | 0.763068i | 0.747204 | + | 0.664595i | \(0.231396\pi\) |
−0.995140 | + | 0.0984729i | \(0.968604\pi\) | |||||||
\(384\) | 0.365778 | 0.0186660 | ||||||||
\(385\) | 1.75640 | + | 2.81337i | 0.0895146 | + | 0.143383i | ||||
\(386\) | −10.4918 | −0.534021 | ||||||||
\(387\) | −3.29113 | + | 10.1290i | −0.167297 | + | 0.514888i | ||||
\(388\) | 3.41865 | − | 2.48380i | 0.173556 | − | 0.126096i | ||||
\(389\) | 7.81823 | + | 5.68027i | 0.396400 | + | 0.288001i | 0.768073 | − | 0.640362i | \(-0.221216\pi\) |
−0.371673 | + | 0.928364i | \(0.621216\pi\) | |||||||
\(390\) | 0.248725 | + | 0.765496i | 0.0125947 | + | 0.0387624i | ||||
\(391\) | 0.875076 | + | 2.69321i | 0.0442545 | + | 0.136201i | ||||
\(392\) | −0.809017 | − | 0.587785i | −0.0408615 | − | 0.0296876i | ||||
\(393\) | 0.754447 | − | 0.548138i | 0.0380568 | − | 0.0276499i | ||||
\(394\) | −2.59674 | + | 7.99196i | −0.130822 | + | 0.402629i | ||||
\(395\) | −10.7445 | −0.540615 | ||||||||
\(396\) | −0.666955 | + | 9.48271i | −0.0335157 | + | 0.476524i | ||||
\(397\) | 17.7947 | 0.893090 | 0.446545 | − | 0.894761i | \(-0.352654\pi\) | ||||
0.446545 | + | 0.894761i | \(0.352654\pi\) | |||||||
\(398\) | 1.67205 | − | 5.14605i | 0.0838124 | − | 0.257948i | ||||
\(399\) | −1.77838 | + | 1.29207i | −0.0890306 | + | 0.0646845i | ||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | 11.5907 | + | 35.6725i | 0.578812 | + | 1.78140i | 0.622815 | + | 0.782369i | \(0.285989\pi\) |
−0.0440023 | + | 0.999031i | \(0.514011\pi\) | |||||||
\(402\) | 0.926258 | + | 2.85073i | 0.0461976 | + | 0.142181i | ||||
\(403\) | −10.7725 | − | 7.82667i | −0.536616 | − | 0.389874i | ||||
\(404\) | 8.13183 | − | 5.90812i | 0.404573 | − | 0.293940i | ||||
\(405\) | −2.41458 | + | 7.43133i | −0.119982 | + | 0.369266i | ||||
\(406\) | 1.90770 | 0.0946776 | ||||||||
\(407\) | 11.3973 | − | 2.83677i | 0.564944 | − | 0.140613i | ||||
\(408\) | 2.29098 | 0.113420 | ||||||||
\(409\) | 6.79682 | − | 20.9185i | 0.336081 | − | 1.03435i | −0.630106 | − | 0.776509i | \(-0.716988\pi\) |
0.966187 | − | 0.257843i | \(-0.0830116\pi\) | |||||||
\(410\) | −0.0167272 | + | 0.0121531i | −0.000826100 | + | 0.000600196i | ||||
\(411\) | 4.48703 | + | 3.26002i | 0.221329 | + | 0.160805i | ||||
\(412\) | 4.53408 | + | 13.9545i | 0.223378 | + | 0.687487i | ||||
\(413\) | 3.93314 | + | 12.1050i | 0.193537 | + | 0.595646i | ||||
\(414\) | 1.04839 | + | 0.761703i | 0.0515258 | + | 0.0374357i | ||||
\(415\) | 8.87322 | − | 6.44677i | 0.435569 | − | 0.316460i | ||||
\(416\) | −0.679988 | + | 2.09279i | −0.0333392 | + | 0.102607i | ||||
\(417\) | 1.66990 | 0.0817754 | ||||||||
\(418\) | 18.4774 | + | 7.47408i | 0.903761 | + | 0.365569i | ||||
\(419\) | −14.6014 | −0.713327 | −0.356664 | − | 0.934233i | \(-0.616086\pi\) | ||||
−0.356664 | + | 0.934233i | \(0.616086\pi\) | |||||||
\(420\) | 0.113032 | − | 0.347875i | 0.00551538 | − | 0.0169746i | ||||
\(421\) | 29.2168 | − | 21.2273i | 1.42394 | − | 1.03455i | 0.432835 | − | 0.901473i | \(-0.357513\pi\) |
0.991105 | − | 0.133081i | \(-0.0424869\pi\) | |||||||
\(422\) | −6.90408 | − | 5.01611i | −0.336085 | − | 0.244180i | ||||
\(423\) | −7.64656 | − | 23.5337i | −0.371788 | − | 1.14425i | ||||
\(424\) | 2.48301 | + | 7.64190i | 0.120585 | + | 0.371124i | ||||
\(425\) | −5.06712 | − | 3.68148i | −0.245791 | − | 0.178578i | ||||
\(426\) | −4.66387 | + | 3.38850i | −0.225965 | + | 0.164173i | ||||
\(427\) | −1.86032 | + | 5.72548i | −0.0900273 | + | 0.277075i | ||||
\(428\) | −1.85065 | −0.0894545 | ||||||||
\(429\) | 2.47473 | + | 1.00102i | 0.119481 | + | 0.0483298i | ||||
\(430\) | −3.71582 | −0.179193 | ||||||||
\(431\) | 0.594012 | − | 1.82818i | 0.0286126 | − | 0.0880604i | −0.935730 | − | 0.352716i | \(-0.885258\pi\) |
0.964343 | + | 0.264655i | \(0.0852582\pi\) | |||||||
\(432\) | 1.73593 | − | 1.26123i | 0.0835200 | − | 0.0606808i | ||||
\(433\) | 6.56300 | + | 4.76830i | 0.315398 | + | 0.229150i | 0.734209 | − | 0.678923i | \(-0.237553\pi\) |
−0.418811 | + | 0.908073i | \(0.637553\pi\) | |||||||
\(434\) | 1.86991 | + | 5.75500i | 0.0897587 | + | 0.276249i | ||||
\(435\) | 0.215630 | + | 0.663642i | 0.0103387 | + | 0.0318192i | ||||
\(436\) | 13.2517 | + | 9.62791i | 0.634640 | + | 0.461093i | ||||
\(437\) | 2.19820 | − | 1.59709i | 0.105154 | − | 0.0763991i | ||||
\(438\) | 1.44502 | − | 4.44731i | 0.0690457 | − | 0.212501i | ||||
\(439\) | 3.97670 | 0.189797 | 0.0948987 | − | 0.995487i | \(-0.469747\pi\) | ||||
0.0948987 | + | 0.995487i | \(0.469747\pi\) | |||||||
\(440\) | −3.21843 | + | 0.801061i | −0.153433 | + | 0.0381891i | ||||
\(441\) | −2.86621 | −0.136486 | ||||||||
\(442\) | −4.25897 | + | 13.1078i | −0.202579 | + | 0.623473i | ||||
\(443\) | 6.15912 | − | 4.47487i | 0.292629 | − | 0.212607i | −0.431778 | − | 0.901980i | \(-0.642114\pi\) |
0.724407 | + | 0.689373i | \(0.242114\pi\) | |||||||
\(444\) | −1.04793 | − | 0.761368i | −0.0497327 | − | 0.0361329i | ||||
\(445\) | 2.95565 | + | 9.09656i | 0.140111 | + | 0.431218i | ||||
\(446\) | −6.07060 | − | 18.6834i | −0.287451 | − | 0.884685i | ||||
\(447\) | −4.11665 | − | 2.99092i | −0.194711 | − | 0.141466i | ||||
\(448\) | 0.809017 | − | 0.587785i | 0.0382225 | − | 0.0277702i | ||||
\(449\) | 1.01243 | − | 3.11594i | 0.0477796 | − | 0.147050i | −0.924320 | − | 0.381617i | \(-0.875367\pi\) |
0.972100 | + | 0.234567i | \(0.0753672\pi\) | |||||||
\(450\) | −2.86621 | −0.135114 | ||||||||
\(451\) | −0.00481122 | + | 0.0684056i | −0.000226552 | + | 0.00322109i | ||||
\(452\) | −10.7686 | −0.506514 | ||||||||
\(453\) | 0.427287 | − | 1.31506i | 0.0200757 | − | 0.0617867i | ||||
\(454\) | −1.92337 | + | 1.39741i | −0.0902684 | + | 0.0655838i | ||||
\(455\) | 1.78023 | + | 1.29341i | 0.0834586 | + | 0.0606362i | ||||
\(456\) | −0.679282 | − | 2.09062i | −0.0318103 | − | 0.0979021i | ||||
\(457\) | 2.60182 | + | 8.00759i | 0.121708 | + | 0.374579i | 0.993287 | − | 0.115676i | \(-0.0369035\pi\) |
−0.871579 | + | 0.490255i | \(0.836903\pi\) | |||||||
\(458\) | −7.87205 | − | 5.71938i | −0.367837 | − | 0.267249i | ||||
\(459\) | 10.8727 | − | 7.89945i | 0.507492 | − | 0.368715i | ||||
\(460\) | −0.139715 | + | 0.429998i | −0.00651423 | + | 0.0200487i | ||||
\(461\) | −22.7631 | −1.06018 | −0.530091 | − | 0.847941i | \(-0.677842\pi\) | ||||
−0.530091 | + | 0.847941i | \(0.677842\pi\) | |||||||
\(462\) | −0.642454 | − | 1.02907i | −0.0298896 | − | 0.0478766i | ||||
\(463\) | 24.6401 | 1.14512 | 0.572561 | − | 0.819862i | \(-0.305950\pi\) | ||||
0.572561 | + | 0.819862i | \(0.305950\pi\) | |||||||
\(464\) | −0.589512 | + | 1.81433i | −0.0273674 | + | 0.0842282i | ||||
\(465\) | −1.79066 | + | 1.30099i | −0.0830400 | + | 0.0603321i | ||||
\(466\) | −14.9296 | − | 10.8470i | −0.691602 | − | 0.502478i | ||||
\(467\) | 1.35635 | + | 4.17442i | 0.0627644 | + | 0.193169i | 0.977522 | − | 0.210835i | \(-0.0676182\pi\) |
−0.914757 | + | 0.404004i | \(0.867618\pi\) | |||||||
\(468\) | 1.94899 | + | 5.99837i | 0.0900920 | + | 0.277275i | ||||
\(469\) | 6.62964 | + | 4.81672i | 0.306128 | + | 0.222415i | ||||
\(470\) | 6.98448 | − | 5.07452i | 0.322170 | − | 0.234070i | ||||
\(471\) | 1.43304 | − | 4.41044i | 0.0660310 | − | 0.203222i | ||||
\(472\) | −12.7279 | −0.585849 | ||||||||
\(473\) | −7.92553 | + | 9.43751i | −0.364416 | + | 0.433937i | ||||
\(474\) | 3.93010 | 0.180516 | ||||||||
\(475\) | −1.85709 | + | 5.71554i | −0.0852091 | + | 0.262247i | ||||
\(476\) | 5.06712 | − | 3.68148i | 0.232251 | − | 0.168740i | ||||
\(477\) | 18.6320 | + | 13.5370i | 0.853102 | + | 0.619815i | ||||
\(478\) | 5.44080 | + | 16.7451i | 0.248856 | + | 0.765901i | ||||
\(479\) | −3.13427 | − | 9.64630i | −0.143209 | − | 0.440751i | 0.853568 | − | 0.520982i | \(-0.174434\pi\) |
−0.996776 | + | 0.0802312i | \(0.974434\pi\) | |||||||
\(480\) | 0.295920 | + | 0.214999i | 0.0135069 | + | 0.00981331i | ||||
\(481\) | 6.30428 | − | 4.58033i | 0.287450 | − | 0.208845i | ||||
\(482\) | 5.40269 | − | 16.6278i | 0.246086 | − | 0.757375i | ||||
\(483\) | −0.165378 | −0.00752495 | ||||||||
\(484\) | −4.83009 | + | 9.88283i | −0.219550 | + | 0.449219i | ||||
\(485\) | 4.22569 | 0.191879 | ||||||||
\(486\) | 2.87240 | − | 8.84034i | 0.130295 | − | 0.401006i | ||||
\(487\) | 18.2996 | − | 13.2954i | 0.829233 | − | 0.602473i | −0.0901091 | − | 0.995932i | \(-0.528722\pi\) |
0.919342 | + | 0.393459i | \(0.128722\pi\) | |||||||
\(488\) | −4.87039 | − | 3.53854i | −0.220472 | − | 0.160182i | ||||
\(489\) | 2.13103 | + | 6.55863i | 0.0963684 | + | 0.296591i | ||||
\(490\) | −0.309017 | − | 0.951057i | −0.0139600 | − | 0.0429644i | ||||
\(491\) | −2.06416 | − | 1.49970i | −0.0931542 | − | 0.0676805i | 0.540233 | − | 0.841515i | \(-0.318336\pi\) |
−0.633387 | + | 0.773835i | \(0.718336\pi\) | |||||||
\(492\) | 0.00611845 | − | 0.00444532i | 0.000275841 | − | 0.000200410i | ||||
\(493\) | −3.69229 | + | 11.3637i | −0.166293 | + | 0.511796i | ||||
\(494\) | 13.2242 | 0.594985 | ||||||||
\(495\) | −6.11337 | + | 7.27964i | −0.274776 | + | 0.327196i | ||||
\(496\) | −6.05116 | −0.271705 | ||||||||
\(497\) | −4.87028 | + | 14.9892i | −0.218462 | + | 0.672356i | ||||
\(498\) | −3.24563 | + | 2.35809i | −0.145440 | + | 0.105668i | ||||
\(499\) | −3.52428 | − | 2.56054i | −0.157768 | − | 0.114625i | 0.506100 | − | 0.862475i | \(-0.331087\pi\) |
−0.663869 | + | 0.747849i | \(0.731087\pi\) | |||||||
\(500\) | −0.309017 | − | 0.951057i | −0.0138197 | − | 0.0425325i | ||||
\(501\) | 1.76141 | + | 5.42107i | 0.0786941 | + | 0.242196i | ||||
\(502\) | 18.5738 | + | 13.4947i | 0.828989 | + | 0.602296i | ||||
\(503\) | −18.8133 | + | 13.6686i | −0.838843 | + | 0.609455i | −0.922047 | − | 0.387078i | \(-0.873485\pi\) |
0.0832045 | + | 0.996532i | \(0.473485\pi\) | |||||||
\(504\) | 0.885707 | − | 2.72592i | 0.0394525 | − | 0.121422i | ||||
\(505\) | 10.0515 | 0.447285 | ||||||||
\(506\) | 0.794116 | + | 1.27200i | 0.0353028 | + | 0.0565472i | ||||
\(507\) | −2.98396 | −0.132522 | ||||||||
\(508\) | 1.37301 | − | 4.22569i | 0.0609175 | − | 0.187485i | ||||
\(509\) | 2.38245 | − | 1.73095i | 0.105600 | − | 0.0767231i | −0.533732 | − | 0.845654i | \(-0.679211\pi\) |
0.639332 | + | 0.768931i | \(0.279211\pi\) | |||||||
\(510\) | 1.85344 | + | 1.34660i | 0.0820717 | + | 0.0596286i | ||||
\(511\) | −3.95054 | − | 12.1585i | −0.174762 | − | 0.537861i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −10.4324 | − | 7.57956i | −0.460600 | − | 0.334646i | ||||
\(514\) | −11.5373 | + | 8.38233i | −0.508888 | + | 0.369729i | ||||
\(515\) | −4.53408 | + | 13.9545i | −0.199796 | + | 0.614907i | ||||
\(516\) | 1.35916 | 0.0598339 | ||||||||
\(517\) | 2.00893 | − | 28.5628i | 0.0883527 | − | 1.25619i | ||||
\(518\) | −3.54127 | −0.155594 | ||||||||
\(519\) | 0.767648 | − | 2.36258i | 0.0336960 | − | 0.103706i | ||||
\(520\) | −1.78023 | + | 1.29341i | −0.0780684 | + | 0.0567200i | ||||
\(521\) | 28.4761 | + | 20.6891i | 1.24756 | + | 0.906404i | 0.998078 | − | 0.0619752i | \(-0.0197400\pi\) |
0.249481 | + | 0.968380i | \(0.419740\pi\) | |||||||
\(522\) | 1.68966 | + | 5.20025i | 0.0739546 | + | 0.227609i | ||||
\(523\) | 1.34339 | + | 4.13453i | 0.0587423 | + | 0.180790i | 0.976122 | − | 0.217223i | \(-0.0696999\pi\) |
−0.917380 | + | 0.398013i | \(0.869700\pi\) | |||||||
\(524\) | 2.06258 | + | 1.49855i | 0.0901044 | + | 0.0654647i | ||||
\(525\) | 0.295920 | − | 0.214999i | 0.0129150 | − | 0.00938332i | ||||
\(526\) | 2.87158 | − | 8.83780i | 0.125207 | − | 0.385347i | ||||
\(527\) | −37.9003 | −1.65096 | ||||||||
\(528\) | 1.17723 | − | 0.293010i | 0.0512324 | − | 0.0127516i | ||||
\(529\) | −22.7956 | −0.991112 | ||||||||
\(530\) | −2.48301 | + | 7.64190i | −0.107855 | + | 0.331943i | ||||
\(531\) | −29.5136 | + | 21.4429i | −1.28078 | + | 0.930542i | ||||
\(532\) | −4.86192 | − | 3.53240i | −0.210791 | − | 0.153149i | ||||
\(533\) | 0.0140594 | + | 0.0432705i | 0.000608982 | + | 0.00187425i | ||||
\(534\) | −1.08111 | − | 3.32732i | −0.0467843 | − | 0.143987i | ||||
\(535\) | −1.49721 | − | 1.08778i | −0.0647299 | − | 0.0470290i | ||||
\(536\) | −6.62964 | + | 4.81672i | −0.286357 | + | 0.208050i | ||||
\(537\) | −2.68217 | + | 8.25486i | −0.115744 | + | 0.356223i | ||||
\(538\) | 1.17894 | 0.0508276 | ||||||||
\(539\) | −3.07462 | − | 1.24367i | −0.132433 | − | 0.0535689i | ||||
\(540\) | 2.14573 | 0.0923374 | ||||||||
\(541\) | 6.11641 | − | 18.8244i | 0.262965 | − | 0.809323i | −0.729190 | − | 0.684311i | \(-0.760103\pi\) |
0.992155 | − | 0.125012i | \(-0.0398970\pi\) | |||||||
\(542\) | 6.57300 | − | 4.77556i | 0.282334 | − | 0.205128i | ||||
\(543\) | −4.30067 | − | 3.12462i | −0.184560 | − | 0.134090i | ||||
\(544\) | 1.93547 | + | 5.95676i | 0.0829825 | + | 0.255394i | ||||
\(545\) | 5.06169 | + | 15.5783i | 0.216819 | + | 0.667300i | ||||
\(546\) | −0.651170 | − | 0.473102i | −0.0278675 | − | 0.0202469i | ||||
\(547\) | −10.0900 | + | 7.33080i | −0.431416 | + | 0.313442i | −0.782215 | − | 0.623009i | \(-0.785910\pi\) |
0.350799 | + | 0.936451i | \(0.385910\pi\) | |||||||
\(548\) | −4.68562 | + | 14.4208i | −0.200160 | + | 0.616028i | ||||
\(549\) | −17.2549 | −0.736423 | ||||||||
\(550\) | −3.07462 | − | 1.24367i | −0.131102 | − | 0.0530305i | ||||
\(551\) | 11.4647 | 0.488411 | ||||||||
\(552\) | 0.0511045 | − | 0.157284i | 0.00217515 | − | 0.00669443i | ||||
\(553\) | 8.69249 | − | 6.31546i | 0.369642 | − | 0.268561i | ||||
\(554\) | −6.65855 | − | 4.83772i | −0.282895 | − | 0.205535i | ||||
\(555\) | −0.400275 | − | 1.23192i | −0.0169907 | − | 0.0522921i | ||||
\(556\) | 1.41077 | + | 4.34190i | 0.0598299 | + | 0.184137i | ||||
\(557\) | −24.5314 | − | 17.8231i | −1.03943 | − | 0.755189i | −0.0692547 | − | 0.997599i | \(-0.522062\pi\) |
−0.970174 | + | 0.242410i | \(0.922062\pi\) | |||||||
\(558\) | −14.0315 | + | 10.1945i | −0.594001 | + | 0.431567i | ||||
\(559\) | −2.52672 | + | 7.77643i | −0.106869 | + | 0.328908i | ||||
\(560\) | 1.00000 | 0.0422577 | ||||||||
\(561\) | 7.37336 | − | 1.83521i | 0.311303 | − | 0.0774827i | ||||
\(562\) | 21.0726 | 0.888894 | ||||||||
\(563\) | −5.91471 | + | 18.2036i | −0.249275 | + | 0.767190i | 0.745629 | + | 0.666362i | \(0.232149\pi\) |
−0.994904 | + | 0.100828i | \(0.967851\pi\) | |||||||
\(564\) | −2.55477 | + | 1.85615i | −0.107575 | + | 0.0781579i | ||||
\(565\) | −8.71200 | − | 6.32964i | −0.366517 | − | 0.266290i | ||||
\(566\) | 0.144738 | + | 0.445457i | 0.00608378 | + | 0.0187239i | ||||
\(567\) | −2.41458 | − | 7.43133i | −0.101403 | − | 0.312086i | ||||
\(568\) | −12.7505 | − | 9.26381i | −0.535001 | − | 0.388701i | ||||
\(569\) | −7.46296 | + | 5.42216i | −0.312864 | + | 0.227309i | −0.733124 | − | 0.680095i | \(-0.761939\pi\) |
0.420261 | + | 0.907403i | \(0.361939\pi\) | |||||||
\(570\) | 0.679282 | − | 2.09062i | 0.0284520 | − | 0.0875663i | ||||
\(571\) | 26.6182 | 1.11394 | 0.556968 | − | 0.830534i | \(-0.311965\pi\) | ||||
0.556968 | + | 0.830534i | \(0.311965\pi\) | |||||||
\(572\) | −0.512045 | + | 7.28021i | −0.0214097 | + | 0.304401i | ||||
\(573\) | −2.46638 | −0.103035 | ||||||||
\(574\) | 0.00638924 | − | 0.0196641i | 0.000266682 | − | 0.000820762i | ||||
\(575\) | −0.365778 | + | 0.265753i | −0.0152540 | + | 0.0110827i | ||||
\(576\) | 2.31881 | + | 1.68471i | 0.0966171 | + | 0.0701964i | ||||
\(577\) | −2.51797 | − | 7.74951i | −0.104824 | − | 0.322616i | 0.884865 | − | 0.465848i | \(-0.154251\pi\) |
−0.989689 | + | 0.143232i | \(0.954251\pi\) | |||||||
\(578\) | 6.86913 | + | 21.1410i | 0.285718 | + | 0.879350i | ||||
\(579\) | 3.10475 | + | 2.25573i | 0.129029 | + | 0.0937451i | ||||
\(580\) | −1.54336 | + | 1.12132i | −0.0640847 | + | 0.0465602i | ||||
\(581\) | −3.38927 | + | 10.4311i | −0.140611 | + | 0.432755i | ||||
\(582\) | −1.54566 | −0.0640698 | ||||||||
\(583\) | 14.1130 | + | 22.6059i | 0.584501 | + | 0.936241i | ||||
\(584\) | 12.7842 | 0.529014 | ||||||||
\(585\) | −1.94899 | + | 5.99837i | −0.0805807 | + | 0.248002i | ||||
\(586\) | 5.43588 | − | 3.94940i | 0.224554 | − | 0.163148i | ||||
\(587\) | 14.7093 | + | 10.6869i | 0.607119 | + | 0.441097i | 0.848399 | − | 0.529358i | \(-0.177567\pi\) |
−0.241280 | + | 0.970456i | \(0.577567\pi\) | |||||||
\(588\) | 0.113032 | + | 0.347875i | 0.00466134 | + | 0.0143461i | ||||
\(589\) | 11.2376 | + | 34.5856i | 0.463035 | + | 1.42508i | ||||
\(590\) | −10.2971 | − | 7.48127i | −0.423925 | − | 0.307999i | ||||
\(591\) | 2.48669 | − | 1.80669i | 0.102289 | − | 0.0743172i | ||||
\(592\) | 1.09431 | − | 3.36794i | 0.0449759 | − | 0.138422i | ||||
\(593\) | −14.6040 | −0.599715 | −0.299857 | − | 0.953984i | \(-0.596939\pi\) | ||||
−0.299857 | + | 0.953984i | \(0.596939\pi\) | |||||||
\(594\) | 4.57665 | − | 5.44976i | 0.187782 | − | 0.223606i | ||||
\(595\) | 6.26330 | 0.256770 | ||||||||
\(596\) | 4.29884 | − | 13.2305i | 0.176087 | − | 0.541941i | ||||
\(597\) | −1.60119 | + | 1.16333i | −0.0655323 | + | 0.0476120i | ||||
\(598\) | 0.804890 | + | 0.584787i | 0.0329144 | + | 0.0239137i | ||||
\(599\) | −4.93102 | − | 15.1761i | −0.201476 | − | 0.620079i | −0.999840 | − | 0.0179039i | \(-0.994301\pi\) |
0.798364 | − | 0.602176i | \(-0.205699\pi\) | |||||||
\(600\) | 0.113032 | + | 0.347875i | 0.00461449 | + | 0.0142020i | ||||
\(601\) | −17.8022 | − | 12.9341i | −0.726167 | − | 0.527591i | 0.162182 | − | 0.986761i | \(-0.448147\pi\) |
−0.888348 | + | 0.459170i | \(0.848147\pi\) | |||||||
\(602\) | 3.00616 | − | 2.18410i | 0.122522 | − | 0.0890175i | ||||
\(603\) | −7.25809 | + | 22.3381i | −0.295572 | + | 0.909678i | ||||
\(604\) | 3.78025 | 0.153816 | ||||||||
\(605\) | −9.71660 | + | 5.15632i | −0.395036 | + | 0.209634i | ||||
\(606\) | −3.67661 | −0.149352 | ||||||||
\(607\) | −5.38148 | + | 16.5625i | −0.218427 | + | 0.672250i | 0.780465 | + | 0.625199i | \(0.214982\pi\) |
−0.998892 | + | 0.0470510i | \(0.985018\pi\) | |||||||
\(608\) | 4.86192 | − | 3.53240i | 0.197177 | − | 0.143258i | ||||
\(609\) | −0.564528 | − | 0.410154i | −0.0228758 | − | 0.0166203i | ||||
\(610\) | −1.86032 | − | 5.72548i | −0.0753222 | − | 0.231818i | ||||
\(611\) | −5.87053 | − | 18.0676i | −0.237496 | − | 0.730939i | ||||
\(612\) | 14.5234 | + | 10.5519i | 0.587074 | + | 0.426534i | ||||
\(613\) | 14.8948 | − | 10.8217i | 0.601594 | − | 0.437083i | −0.244851 | − | 0.969561i | \(-0.578739\pi\) |
0.846444 | + | 0.532477i | \(0.178739\pi\) | |||||||
\(614\) | 7.02056 | − | 21.6071i | 0.283327 | − | 0.871990i | ||||
\(615\) | 0.00756282 | 0.000304963 | ||||||||
\(616\) | 2.13291 | − | 2.53982i | 0.0859376 | − | 0.102332i | ||||
\(617\) | −5.54431 | −0.223206 | −0.111603 | − | 0.993753i | \(-0.535598\pi\) | ||||
−0.111603 | + | 0.993753i | \(0.535598\pi\) | |||||||
\(618\) | 1.65847 | − | 5.10423i | 0.0667133 | − | 0.205322i | ||||
\(619\) | 22.1129 | − | 16.0660i | 0.888794 | − | 0.645747i | −0.0467690 | − | 0.998906i | \(-0.514892\pi\) |
0.935563 | + | 0.353159i | \(0.114892\pi\) | |||||||
\(620\) | −4.89549 | − | 3.55679i | −0.196608 | − | 0.142844i | ||||
\(621\) | −0.299790 | − | 0.922658i | −0.0120301 | − | 0.0370250i | ||||
\(622\) | −6.55440 | − | 20.1724i | −0.262808 | − | 0.808838i | ||||
\(623\) | −7.73799 | − | 5.62198i | −0.310016 | − | 0.225240i | ||||
\(624\) | 0.651170 | − | 0.473102i | 0.0260677 | − | 0.0189393i | ||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | −3.70075 | −0.147912 | ||||||||
\(627\) | −3.86093 | − | 6.18436i | −0.154191 | − | 0.246979i | ||||
\(628\) | 12.6782 | 0.505916 | ||||||||
\(629\) | 6.85401 | − | 21.0945i | 0.273287 | − | 0.841091i | ||||
\(630\) | 2.31881 | − | 1.68471i | 0.0923836 | − | 0.0671206i | ||||
\(631\) | −26.8167 | − | 19.4835i | −1.06755 | − | 0.775624i | −0.0920837 | − | 0.995751i | \(-0.529353\pi\) |
−0.975471 | + | 0.220127i | \(0.929353\pi\) | |||||||
\(632\) | 3.32023 | + | 10.2186i | 0.132072 | + | 0.406475i | ||||
\(633\) | 0.964601 | + | 2.96874i | 0.0383395 | + | 0.117997i | ||||
\(634\) | 6.23806 | + | 4.53222i | 0.247745 | + | 0.179997i | ||||
\(635\) | 3.59459 | − | 2.61162i | 0.142647 | − | 0.103639i | ||||
\(636\) | 0.908228 | − | 2.79524i | 0.0360136 | − | 0.110838i | ||||
\(637\) | −2.20049 | −0.0871865 | ||||||||
\(638\) | −0.443915 | + | 6.31154i | −0.0175747 | + | 0.249876i | ||||
\(639\) | −45.1730 | −1.78702 | ||||||||
\(640\) | −0.309017 | + | 0.951057i | −0.0122150 | + | 0.0375938i | ||||
\(641\) | −1.25607 | + | 0.912589i | −0.0496118 | + | 0.0360451i | −0.612315 | − | 0.790614i | \(-0.709761\pi\) |
0.562703 | + | 0.826659i | \(0.309761\pi\) | |||||||
\(642\) | 0.547645 | + | 0.397887i | 0.0216138 | + | 0.0157034i | ||||
\(643\) | 2.34982 | + | 7.23201i | 0.0926680 | + | 0.285203i | 0.986639 | − | 0.162922i | \(-0.0520919\pi\) |
−0.893971 | + | 0.448125i | \(0.852092\pi\) | |||||||
\(644\) | −0.139715 | − | 0.429998i | −0.00550553 | − | 0.0169443i | ||||
\(645\) | 1.09959 | + | 0.798897i | 0.0432962 | + | 0.0314565i | ||||
\(646\) | 30.4517 | − | 22.1245i | 1.19811 | − | 0.870475i | ||||
\(647\) | 2.61210 | − | 8.03921i | 0.102692 | − | 0.316054i | −0.886490 | − | 0.462748i | \(-0.846863\pi\) |
0.989182 | + | 0.146694i | \(0.0468634\pi\) | |||||||
\(648\) | 7.81376 | 0.306953 | ||||||||
\(649\) | −40.9639 | + | 10.1958i | −1.60797 | + | 0.400221i | ||||
\(650\) | −2.20049 | −0.0863103 | ||||||||
\(651\) | 0.683973 | − | 2.10505i | 0.0268070 | − | 0.0825035i | ||||
\(652\) | −15.2527 | + | 11.0817i | −0.597342 | + | 0.433994i | ||||
\(653\) | −26.3453 | − | 19.1410i | −1.03097 | − | 0.749044i | −0.0624680 | − | 0.998047i | \(-0.519897\pi\) |
−0.968503 | + | 0.249003i | \(0.919897\pi\) | |||||||
\(654\) | −1.85145 | − | 5.69819i | −0.0723976 | − | 0.222817i | ||||
\(655\) | 0.787837 | + | 2.42471i | 0.0307833 | + | 0.0947413i | ||||
\(656\) | 0.0167272 | + | 0.0121531i | 0.000653089 | + | 0.000474497i | ||||
\(657\) | 29.6442 | − | 21.5377i | 1.15653 | − | 0.840267i | ||||
\(658\) | −2.66783 | + | 8.21074i | −0.104003 | + | 0.320088i | ||||
\(659\) | 37.9922 | 1.47997 | 0.739983 | − | 0.672626i | \(-0.234834\pi\) | ||||
0.739983 | + | 0.672626i | \(0.234834\pi\) | |||||||
\(660\) | 1.12463 | + | 0.454909i | 0.0437760 | + | 0.0177073i | ||||
\(661\) | −15.0403 | −0.584999 | −0.292499 | − | 0.956266i | \(-0.594487\pi\) | ||||
−0.292499 | + | 0.956266i | \(0.594487\pi\) | |||||||
\(662\) | 9.96559 | − | 30.6709i | 0.387324 | − | 1.19206i | ||||
\(663\) | 4.07847 | − | 2.96318i | 0.158395 | − | 0.115081i | ||||
\(664\) | −8.87322 | − | 6.44677i | −0.344348 | − | 0.250183i | ||||
\(665\) | −1.85709 | − | 5.71554i | −0.0720149 | − | 0.221639i | ||||
\(666\) | −3.13652 | − | 9.65322i | −0.121538 | − | 0.374055i | ||||
\(667\) | 0.697795 | + | 0.506978i | 0.0270187 | + | 0.0196303i | ||||
\(668\) | −12.6072 | + | 9.15968i | −0.487788 | + | 0.354399i | ||||
\(669\) | −2.22049 | + | 6.83397i | −0.0858492 | + | 0.264217i | ||||
\(670\) | −8.19469 | −0.316588 | ||||||||
\(671\) | −18.5096 | − | 7.48708i | −0.714555 | − | 0.289036i | ||||
\(672\) | −0.365778 | −0.0141102 | ||||||||
\(673\) | −11.8602 | + | 36.5020i | −0.457178 | + | 1.40705i | 0.411382 | + | 0.911463i | \(0.365046\pi\) |
−0.868560 | + | 0.495585i | \(0.834954\pi\) | |||||||
\(674\) | −26.8716 | + | 19.5234i | −1.03506 | + | 0.752013i | ||||
\(675\) | 1.73593 | + | 1.26123i | 0.0668160 | + | 0.0485447i | ||||
\(676\) | −2.52091 | − | 7.75858i | −0.0969582 | − | 0.298407i | ||||
\(677\) | −9.51784 | − | 29.2929i | −0.365800 | − | 1.12582i | −0.949478 | − | 0.313832i | \(-0.898387\pi\) |
0.583678 | − | 0.811985i | \(-0.301613\pi\) | |||||||
\(678\) | 3.18666 | + | 2.31524i | 0.122383 | + | 0.0889163i | ||||
\(679\) | −3.41865 | + | 2.48380i | −0.131196 | + | 0.0953193i | ||||
\(680\) | −1.93547 | + | 5.95676i | −0.0742218 | + | 0.228431i | ||||
\(681\) | 0.869608 | 0.0333234 | ||||||||
\(682\) | −19.4753 | + | 4.84735i | −0.745746 | + | 0.185615i | ||||
\(683\) | 46.0974 | 1.76387 | 0.881935 | − | 0.471371i | \(-0.156241\pi\) | ||||
0.881935 | + | 0.471371i | \(0.156241\pi\) | |||||||
\(684\) | 5.32280 | − | 16.3819i | 0.203522 | − | 0.626378i | ||||
\(685\) | −12.2671 | + | 8.91257i | −0.468702 | + | 0.340532i | ||||
\(686\) | 0.809017 | + | 0.587785i | 0.0308884 | + | 0.0224417i | ||||
\(687\) | 1.09984 | + | 3.38496i | 0.0419615 | + | 0.129144i | ||||
\(688\) | 1.14825 | + | 3.53396i | 0.0437767 | + | 0.134731i | ||||
\(689\) | 14.3045 | + | 10.3928i | 0.544957 | + | 0.395935i | ||||
\(690\) | 0.133793 | − | 0.0972066i | 0.00509343 | − | 0.00370059i | ||||
\(691\) | −8.24096 | + | 25.3631i | −0.313501 | + | 0.964857i | 0.662866 | + | 0.748738i | \(0.269340\pi\) |
−0.976367 | + | 0.216119i | \(0.930660\pi\) | |||||||
\(692\) | 6.79145 | 0.258172 | ||||||||
\(693\) | 0.666955 | − | 9.48271i | 0.0253355 | − | 0.360218i | ||||
\(694\) | −3.37780 | −0.128220 | ||||||||
\(695\) | −1.41077 | + | 4.34190i | −0.0535135 | + | 0.164698i | ||||
\(696\) | 0.564528 | − | 0.410154i | 0.0213984 | − | 0.0155468i | ||||
\(697\) | 0.104768 | + | 0.0761183i | 0.00396836 | + | 0.00288318i | ||||
\(698\) | −9.70676 | − | 29.8743i | −0.367406 | − | 1.13076i | ||||
\(699\) | 2.08589 | + | 6.41971i | 0.0788956 | + | 0.242816i | ||||
\(700\) | 0.809017 | + | 0.587785i | 0.0305780 | + | 0.0222162i | ||||
\(701\) | −12.3565 | + | 8.97753i | −0.466699 | + | 0.339077i | −0.796153 | − | 0.605095i | \(-0.793135\pi\) |
0.329454 | + | 0.944172i | \(0.393135\pi\) | |||||||
\(702\) | 1.45907 | − | 4.49056i | 0.0550691 | − | 0.169485i | ||||
\(703\) | −21.2818 | −0.802660 | ||||||||
\(704\) | 1.75640 | + | 2.81337i | 0.0661970 | + | 0.106033i | ||||
\(705\) | −3.15786 | −0.118932 | ||||||||
\(706\) | 10.7860 | − | 33.1958i | 0.405935 | − | 1.24934i | ||||
\(707\) | −8.13183 | + | 5.90812i | −0.305829 | + | 0.222198i | ||||
\(708\) | 3.76645 | + | 2.73648i | 0.141552 | + | 0.102843i | ||||
\(709\) | −7.19676 | − | 22.1494i | −0.270280 | − | 0.831837i | −0.990430 | − | 0.138018i | \(-0.955927\pi\) |
0.720150 | − | 0.693819i | \(-0.244073\pi\) | |||||||
\(710\) | −4.87028 | − | 14.9892i | −0.182778 | − | 0.562533i | ||||
\(711\) | 24.9145 | + | 18.1014i | 0.934365 | + | 0.678856i | ||||
\(712\) | 7.73799 | − | 5.62198i | 0.289994 | − | 0.210693i | ||||
\(713\) | −0.845437 | + | 2.60199i | −0.0316618 | + | 0.0974452i | ||||
\(714\) | −2.29098 | −0.0857377 | ||||||||
\(715\) | −4.69345 | + | 5.58884i | −0.175525 | + | 0.209011i | ||||
\(716\) | −23.7293 | −0.886807 | ||||||||
\(717\) | 1.99012 | − | 6.12497i | 0.0743226 | − | 0.228741i | ||||
\(718\) | −26.2740 | + | 19.0892i | −0.980538 | + | 0.712403i | ||||
\(719\) | −5.37935 | − | 3.90833i | −0.200616 | − | 0.145756i | 0.482942 | − | 0.875652i | \(-0.339568\pi\) |
−0.683558 | + | 0.729896i | \(0.739568\pi\) | |||||||
\(720\) | 0.885707 | + | 2.72592i | 0.0330083 | + | 0.101589i | ||||
\(721\) | −4.53408 | − | 13.9545i | −0.168858 | − | 0.519692i | ||||
\(722\) | −13.8472 | − | 10.0606i | −0.515341 | − | 0.374417i | ||||
\(723\) | −5.17372 | + | 3.75893i | −0.192413 | + | 0.139796i | ||||
\(724\) | 4.49101 | − | 13.8219i | 0.166907 | − | 0.513687i | ||||
\(725\) | −1.90770 | −0.0708502 | ||||||||
\(726\) | 3.55412 | − | 1.88607i | 0.131906 | − | 0.0699985i | ||||
\(727\) | −36.8003 | −1.36485 | −0.682424 | − | 0.730956i | \(-0.739074\pi\) | ||||
−0.682424 | + | 0.730956i | \(0.739074\pi\) | |||||||
\(728\) | 0.679988 | − | 2.09279i | 0.0252020 | − | 0.0775639i | ||||
\(729\) | 16.2137 | − | 11.7800i | 0.600508 | − | 0.436295i | ||||
\(730\) | 10.3426 | + | 7.51437i | 0.382798 | + | 0.278119i | ||||
\(731\) | 7.19185 | + | 22.1342i | 0.266000 | + | 0.818664i | ||||
\(732\) | 0.680464 | + | 2.09425i | 0.0251507 | + | 0.0774059i | ||||
\(733\) | 5.34569 | + | 3.88387i | 0.197447 | + | 0.143454i | 0.682116 | − | 0.731244i | \(-0.261060\pi\) |
−0.484669 | + | 0.874698i | \(0.661060\pi\) | |||||||
\(734\) | 23.2421 | − | 16.8864i | 0.857883 | − | 0.623289i | ||||
\(735\) | −0.113032 | + | 0.347875i | −0.00416923 | + | 0.0128316i | ||||
\(736\) | 0.452126 | 0.0166656 | ||||||||
\(737\) | −17.4786 | + | 20.8130i | −0.643831 | + | 0.766657i | ||||
\(738\) | 0.0592617 | 0.00218145 | ||||||||
\(739\) | −4.38065 | + | 13.4823i | −0.161145 | + | 0.495953i | −0.998732 | − | 0.0503517i | \(-0.983966\pi\) |
0.837587 | + | 0.546304i | \(0.183966\pi\) | |||||||
\(740\) | 2.86494 | − | 2.08150i | 0.105317 | − | 0.0765176i | ||||
\(741\) | −3.91331 | − | 2.84319i | −0.143759 | − | 0.104447i | ||||
\(742\) | −2.48301 | − | 7.64190i | −0.0911540 | − | 0.280543i | ||||
\(743\) | −6.75303 | − | 20.7837i | −0.247745 | − | 0.762480i | −0.995173 | − | 0.0981371i | \(-0.968712\pi\) |
0.747428 | − | 0.664343i | \(-0.231288\pi\) | |||||||
\(744\) | 1.79066 | + | 1.30099i | 0.0656489 | + | 0.0476967i | ||||
\(745\) | 11.2545 | − | 8.17688i | 0.412333 | − | 0.299578i | ||||
\(746\) | −11.2730 | + | 34.6948i | −0.412734 | + | 1.27027i | ||||
\(747\) | −31.4363 | −1.15019 | ||||||||
\(748\) | 11.0009 | + | 17.6210i | 0.402233 | + | 0.644287i | ||||
\(749\) | 1.85065 | 0.0676213 | ||||||||
\(750\) | −0.113032 | + | 0.347875i | −0.00412733 | + | 0.0127026i | ||||
\(751\) | 14.8255 | − | 10.7713i | 0.540990 | − | 0.393052i | −0.283463 | − | 0.958983i | \(-0.591483\pi\) |
0.824452 | + | 0.565931i | \(0.191483\pi\) | |||||||
\(752\) | −6.98448 | − | 5.07452i | −0.254698 | − | 0.185049i | ||||
\(753\) | −2.59503 | − | 7.98669i | −0.0945682 | − | 0.291051i | ||||
\(754\) | 1.29721 | + | 3.99242i | 0.0472418 | + | 0.145395i | ||||
\(755\) | 3.05829 | + | 2.22197i | 0.111302 | + | 0.0808659i | ||||
\(756\) | −1.73593 | + | 1.26123i | −0.0631352 | + | 0.0458704i | ||||
\(757\) | −3.59659 | + | 11.0692i | −0.130720 | + | 0.402316i | −0.994900 | − | 0.100868i | \(-0.967838\pi\) |
0.864180 | + | 0.503184i | \(0.167838\pi\) | |||||||
\(758\) | 0.299074 | 0.0108629 | ||||||||
\(759\) | 0.0384827 | − | 0.547144i | 0.00139684 | − | 0.0198601i | ||||
\(760\) | 6.00967 | 0.217994 | ||||||||
\(761\) | 7.86593 | − | 24.2088i | 0.285140 | − | 0.877569i | −0.701217 | − | 0.712948i | \(-0.747360\pi\) |
0.986357 | − | 0.164622i | \(-0.0526403\pi\) | |||||||
\(762\) | −1.31482 | + | 0.955273i | −0.0476309 | + | 0.0346059i | ||||
\(763\) | −13.2517 | − | 9.62791i | −0.479743 | − | 0.348554i | ||||
\(764\) | −2.08365 | − | 6.41282i | −0.0753838 | − | 0.232008i | ||||
\(765\) | 5.54745 | + | 17.0733i | 0.200568 | + | 0.617286i | ||||
\(766\) | 12.7032 | + | 9.22943i | 0.458986 | + | 0.333473i | ||||
\(767\) | −22.6586 | + | 16.4625i | −0.818156 | + | 0.594425i | ||||
\(768\) | 0.113032 | − | 0.347875i | 0.00407868 | − | 0.0125529i | ||||
\(769\) | 41.1644 | 1.48442 | 0.742212 | − | 0.670165i | \(-0.233777\pi\) | ||||
0.742212 | + | 0.670165i | \(0.233777\pi\) | |||||||
\(770\) | 3.21843 | − | 0.801061i | 0.115984 | − | 0.0288682i | ||||
\(771\) | 5.21631 | 0.187861 | ||||||||
\(772\) | −3.24216 | + | 9.97834i | −0.116688 | + | 0.359128i | ||||
\(773\) | −3.18123 | + | 2.31130i | −0.114421 | + | 0.0831316i | −0.643524 | − | 0.765426i | \(-0.722528\pi\) |
0.529103 | + | 0.848557i | \(0.322528\pi\) | |||||||
\(774\) | 8.61628 | + | 6.26010i | 0.309706 | + | 0.225014i | ||||
\(775\) | −1.86991 | − | 5.75500i | −0.0671692 | − | 0.206726i | ||||
\(776\) | −1.30581 | − | 4.01887i | −0.0468758 | − | 0.144269i | ||||
\(777\) | 1.04793 | + | 0.761368i | 0.0375944 | + | 0.0273139i | ||||
\(778\) | 7.81823 | − | 5.68027i | 0.280297 | − | 0.203648i | ||||
\(779\) | 0.0383972 | − | 0.118174i | 0.00137572 | − | 0.00423404i | ||||
\(780\) | 0.804890 | 0.0288197 | ||||||||
\(781\) | −48.4576 | − | 19.6010i | −1.73395 | − | 0.701379i | ||||
\(782\) | 2.83180 | 0.101265 | ||||||||
\(783\) | 1.26493 | − | 3.89306i | 0.0452050 | − | 0.139127i | ||||
\(784\) | −0.809017 | + | 0.587785i | −0.0288935 | + | 0.0209923i | ||||
\(785\) | 10.2569 | + | 7.45207i | 0.366084 | + | 0.265976i | ||||
\(786\) | −0.288173 | − | 0.886906i | −0.0102788 | − | 0.0316349i | ||||
\(787\) | −10.5727 | − | 32.5393i | −0.376875 | − | 1.15990i | −0.942205 | − | 0.335036i | \(-0.891251\pi\) |
0.565331 | − | 0.824864i | \(-0.308749\pi\) | |||||||
\(788\) | 6.79837 | + | 4.93930i | 0.242182 | + | 0.175955i | ||||
\(789\) | −2.74988 | + | 1.99790i | −0.0978981 | + | 0.0711272i | ||||
\(790\) | −3.32023 | + | 10.2186i | −0.118129 | + | 0.363563i | ||||
\(791\) | 10.7686 | 0.382888 | ||||||||
\(792\) | 8.81249 | + | 3.56463i | 0.313138 | + | 0.126664i | ||||
\(793\) | −13.2472 | −0.470423 | ||||||||
\(794\) | 5.49886 | − | 16.9238i | 0.195147 | − | 0.600602i | ||||
\(795\) | 2.37777 | − | 1.72755i | 0.0843309 | − | 0.0612700i | ||||
\(796\) | −4.37749 | − | 3.18043i | −0.155156 | − | 0.112727i | ||||
\(797\) | 0.292441 | + | 0.900041i | 0.0103588 | + | 0.0318811i | 0.956102 | − | 0.293033i | \(-0.0946646\pi\) |
−0.945744 | + | 0.324914i | \(0.894665\pi\) | |||||||
\(798\) | 0.679282 | + | 2.09062i | 0.0240463 | + | 0.0740070i | ||||
\(799\) | −43.7459 | − | 31.7833i | −1.54762 | − | 1.12441i | ||||
\(800\) | −0.809017 | + | 0.587785i | −0.0286031 | + | 0.0207813i | ||||
\(801\) | 8.47150 | − | 26.0726i | 0.299326 | − | 0.921230i | ||||
\(802\) | 37.5083 | 1.32446 | ||||||||
\(803\) | 41.1451 | − | 10.2409i | 1.45198 | − | 0.361395i | ||||
\(804\) | 2.99744 | 0.105711 | ||||||||
\(805\) | 0.139715 | − | 0.429998i | 0.00492430 | − | 0.0151554i | ||||
\(806\) | −10.7725 | + | 7.82667i | −0.379444 | + | 0.275683i | ||||
\(807\) | −0.348872 | − | 0.253470i | −0.0122809 | − | 0.00892257i | ||||
\(808\) | −3.10608 | − | 9.55954i | −0.109272 | − | 0.336303i | ||||
\(809\) | −3.72397 | − | 11.4612i | −0.130928 | − | 0.402955i | 0.864007 | − | 0.503481i | \(-0.167947\pi\) |
−0.994934 | + | 0.100526i | \(0.967947\pi\) | |||||||
\(810\) | 6.32146 | + | 4.59281i | 0.222114 | + | 0.161375i | ||||
\(811\) | −25.6257 | + | 18.6182i | −0.899840 | + | 0.653772i | −0.938425 | − | 0.345483i | \(-0.887715\pi\) |
0.0385848 | + | 0.999255i | \(0.487715\pi\) | |||||||
\(812\) | 0.589512 | − | 1.81433i | 0.0206878 | − | 0.0636706i | ||||
\(813\) | −2.97182 | −0.104226 | ||||||||
\(814\) | 0.824039 | − | 11.7161i | 0.0288825 | − | 0.410649i | ||||
\(815\) | −18.8534 | −0.660405 | ||||||||
\(816\) | 0.707951 | − | 2.17885i | 0.0247832 | − | 0.0762750i | ||||
\(817\) | 18.0660 | − | 13.1257i | 0.632051 | − | 0.459212i | ||||
\(818\) | −17.7943 | − | 12.9283i | −0.622164 | − | 0.452028i | ||||
\(819\) | −1.94899 | − | 5.99837i | −0.0681031 | − | 0.209600i | ||||
\(820\) | 0.00638924 | + | 0.0196641i | 0.000223122 | + | 0.000686698i | ||||
\(821\) | −19.7638 | − | 14.3592i | −0.689761 | − | 0.501141i | 0.186821 | − | 0.982394i | \(-0.440182\pi\) |
−0.876581 | + | 0.481254i | \(0.840182\pi\) | |||||||
\(822\) | 4.48703 | − | 3.26002i | 0.156503 | − | 0.113706i | ||||
\(823\) | −8.79067 | + | 27.0549i | −0.306423 | + | 0.943074i | 0.672719 | + | 0.739898i | \(0.265126\pi\) |
−0.979142 | + | 0.203176i | \(0.934874\pi\) | |||||||
\(824\) | 14.6726 | 0.511144 | ||||||||
\(825\) | 0.642454 | + | 1.02907i | 0.0223674 | + | 0.0358275i | ||||
\(826\) | 12.7279 | 0.442860 | ||||||||
\(827\) | 13.4888 | − | 41.5143i | 0.469052 | − | 1.44359i | −0.384761 | − | 0.923016i | \(-0.625716\pi\) |
0.853814 | − | 0.520579i | \(-0.174284\pi\) | |||||||
\(828\) | 1.04839 | − | 0.761703i | 0.0364342 | − | 0.0264710i | ||||
\(829\) | −0.448656 | − | 0.325968i | −0.0155825 | − | 0.0113213i | 0.579967 | − | 0.814640i | \(-0.303066\pi\) |
−0.595549 | + | 0.803319i | \(0.703066\pi\) | |||||||
\(830\) | −3.38927 | − | 10.4311i | −0.117643 | − | 0.362069i | ||||
\(831\) | 0.930297 | + | 2.86316i | 0.0322717 | + | 0.0993219i | ||||
\(832\) | 1.78023 | + | 1.29341i | 0.0617185 | + | 0.0448411i | ||||
\(833\) | −5.06712 | + | 3.68148i | −0.175565 | + | 0.127556i | ||||
\(834\) | 0.516028 | − | 1.58817i | 0.0178686 | − | 0.0549938i | ||||
\(835\) | −15.5834 | −0.539285 | ||||||||
\(836\) | 12.8181 | − | 15.2635i | 0.443324 | − | 0.527898i | ||||
\(837\) | 12.9842 | 0.448798 | ||||||||
\(838\) | −4.51209 | + | 13.8868i | −0.155868 | + | 0.479711i | ||||
\(839\) | 2.18241 | − | 1.58561i | 0.0753450 | − | 0.0547413i | −0.549475 | − | 0.835510i | \(-0.685172\pi\) |
0.624820 | + | 0.780769i | \(0.285172\pi\) | |||||||
\(840\) | −0.295920 | − | 0.214999i | −0.0102102 | − | 0.00741816i | ||||
\(841\) | −7.83688 | − | 24.1194i | −0.270237 | − | 0.831705i | ||||
\(842\) | −11.1598 | − | 34.3464i | −0.384593 | − | 1.18366i | ||||
\(843\) | −6.23582 | − | 4.53059i | −0.214773 | − | 0.156042i | ||||
\(844\) | −6.90408 | + | 5.01611i | −0.237648 | + | 0.172662i | ||||
\(845\) | 2.52091 | − | 7.75858i | 0.0867221 | − | 0.266903i | ||||
\(846\) | −24.7448 | −0.850743 | ||||||||
\(847\) | 4.83009 | − | 9.88283i | 0.165964 | − | 0.339578i | ||||
\(848\) | 8.03517 | 0.275929 | ||||||||
\(849\) | 0.0529418 | − | 0.162938i | 0.00181696 | − | 0.00559202i | ||||
\(850\) | −5.06712 | + | 3.68148i | −0.173801 | + | 0.126274i | ||||
\(851\) | −1.29532 | − | 0.941103i | −0.0444029 | − | 0.0322606i | ||||
\(852\) | 1.78144 | + | 5.48270i | 0.0610311 | + | 0.187834i | ||||
\(853\) | 3.03375 | + | 9.33691i | 0.103873 | + | 0.319690i | 0.989464 | − | 0.144776i | \(-0.0462463\pi\) |
−0.885591 | + | 0.464466i | \(0.846246\pi\) | |||||||
\(854\) | 4.87039 | + | 3.53854i | 0.166661 | + | 0.121086i | ||||
\(855\) | 13.9353 | − | 10.1246i | 0.476577 | − | 0.346253i | ||||
\(856\) | −0.571882 | + | 1.76007i | −0.0195465 | + | 0.0601580i | ||||
\(857\) | 38.1531 | 1.30329 | 0.651643 | − | 0.758526i | \(-0.274080\pi\) | ||||
0.651643 | + | 0.758526i | \(0.274080\pi\) | |||||||
\(858\) | 1.71676 | − | 2.04427i | 0.0586093 | − | 0.0697904i | ||||
\(859\) | 7.51538 | 0.256421 | 0.128211 | − | 0.991747i | \(-0.459077\pi\) | ||||
0.128211 | + | 0.991747i | \(0.459077\pi\) | |||||||
\(860\) | −1.14825 | + | 3.53396i | −0.0391551 | + | 0.120507i | ||||
\(861\) | −0.00611845 | + | 0.00444532i | −0.000208516 | + | 0.000151496i | ||||
\(862\) | −1.55514 | − | 1.12988i | −0.0529684 | − | 0.0384838i | ||||
\(863\) | 17.7932 | + | 54.7619i | 0.605688 | + | 1.86412i | 0.491990 | + | 0.870601i | \(0.336270\pi\) |
0.113698 | + | 0.993515i | \(0.463730\pi\) | |||||||
\(864\) | −0.663066 | − | 2.04071i | −0.0225580 | − | 0.0694263i | ||||
\(865\) | 5.49440 | + | 3.99191i | 0.186815 | + | 0.135729i | ||||
\(866\) | 6.56300 | − | 4.76830i | 0.223020 | − | 0.162033i | ||||
\(867\) | 2.51258 | − | 7.73292i | 0.0853316 | − | 0.262624i | ||||
\(868\) | 6.05116 | 0.205390 | ||||||||
\(869\) | 18.8717 | + | 30.2282i | 0.640178 | + | 1.02542i | ||||
\(870\) | 0.697795 | 0.0236575 | ||||||||
\(871\) | −5.57229 | + | 17.1498i | −0.188810 | + | 0.581097i | ||||
\(872\) | 13.2517 | − | 9.62791i | 0.448759 | − | 0.326042i | ||||
\(873\) | −9.79856 | − | 7.11907i | −0.331631 | − | 0.240944i | ||||
\(874\) | −0.839639 | − | 2.58414i | −0.0284012 | − | 0.0874100i | ||||
\(875\) | 0.309017 | + | 0.951057i | 0.0104467 | + | 0.0321516i | ||||
\(876\) | −3.78311 | − | 2.74859i | −0.127819 | − | 0.0928663i | ||||
\(877\) | 23.4874 | − | 17.0646i | 0.793114 | − | 0.576231i | −0.115772 | − | 0.993276i | \(-0.536934\pi\) |
0.908886 | + | 0.417045i | \(0.136934\pi\) | |||||||
\(878\) | 1.22887 | − | 3.78207i | 0.0414723 | − | 0.127639i | ||||
\(879\) | −2.45770 | −0.0828963 | ||||||||
\(880\) | −0.232696 | + | 3.30845i | −0.00784418 | + | 0.111528i | ||||
\(881\) | −48.6656 | −1.63958 | −0.819792 | − | 0.572661i | \(-0.805911\pi\) | ||||
−0.819792 | + | 0.572661i | \(0.805911\pi\) | |||||||
\(882\) | −0.885707 | + | 2.72592i | −0.0298233 | + | 0.0917867i | ||||
\(883\) | −38.0269 | + | 27.6281i | −1.27971 | + | 0.929761i | −0.999544 | − | 0.0301923i | \(-0.990388\pi\) |
−0.280162 | + | 0.959953i | \(0.590388\pi\) | |||||||
\(884\) | 11.1501 | + | 8.10105i | 0.375020 | + | 0.272468i | ||||
\(885\) | 1.43865 | + | 4.42772i | 0.0483599 | + | 0.148836i | ||||
\(886\) | −2.35258 | − | 7.24049i | −0.0790363 | − | 0.243249i | ||||
\(887\) | −24.4952 | − | 17.7968i | −0.822467 | − | 0.597557i | 0.0949513 | − | 0.995482i | \(-0.469730\pi\) |
−0.917418 | + | 0.397925i | \(0.869730\pi\) | |||||||
\(888\) | −1.04793 | + | 0.761368i | −0.0351663 | + | 0.0255498i | ||||
\(889\) | −1.37301 | + | 4.22569i | −0.0460493 | + | 0.141725i | ||||
\(890\) | 9.56469 | 0.320609 | ||||||||
\(891\) | 25.1481 | − | 6.25930i | 0.842491 | − | 0.209694i | ||||
\(892\) | −19.6449 | −0.657760 | ||||||||
\(893\) | −16.0328 | + | 49.3439i | −0.536517 | + | 1.65123i | ||||
\(894\) | −4.11665 | + | 2.99092i | −0.137681 | + | 0.100031i | ||||
\(895\) | −19.1974 | − | 13.9478i | −0.641700 | − | 0.466222i | ||||
\(896\) | −0.309017 | − | 0.951057i | −0.0103235 | − | 0.0317726i | ||||
\(897\) | −0.112455 | − | 0.346101i | −0.00375476 | − | 0.0115560i | ||||
\(898\) | −2.65058 | − | 1.92576i | −0.0884510 | − | 0.0642634i | ||||
\(899\) | −9.33914 | + | 6.78528i | −0.311478 | + | 0.226302i | ||||
\(900\) | −0.885707 | + | 2.72592i | −0.0295236 | + | 0.0908641i | ||||
\(901\) | 50.3267 | 1.67663 | ||||||||
\(902\) | 0.0635708 | + | 0.0257142i | 0.00211668 | + | 0.000856190i | ||||
\(903\) | −1.35916 | −0.0452302 | ||||||||
\(904\) | −3.32769 | + | 10.2416i | −0.110677 | + | 0.340630i | ||||
\(905\) | 11.7576 | − | 8.54240i | 0.390836 | − | 0.283959i | ||||
\(906\) | −1.11865 | − | 0.812749i | −0.0371648 | − | 0.0270018i | ||||
\(907\) | 15.1190 | + | 46.5316i | 0.502020 | + | 1.54506i | 0.805724 | + | 0.592291i | \(0.201777\pi\) |
−0.303704 | + | 0.952766i | \(0.598223\pi\) | |||||||
\(908\) | 0.734663 | + | 2.26106i | 0.0243807 | + | 0.0750360i | ||||
\(909\) | −23.3075 | − | 16.9339i | −0.773061 | − | 0.561662i | ||||
\(910\) | 1.78023 | − | 1.29341i | 0.0590141 | − | 0.0428763i | ||||
\(911\) | 13.1204 | − | 40.3805i | 0.434698 | − | 1.33786i | −0.458697 | − | 0.888593i | \(-0.651684\pi\) |
0.893395 | − | 0.449271i | \(-0.148316\pi\) | |||||||
\(912\) | −2.19820 | −0.0727898 | ||||||||
\(913\) | −33.7221 | − | 13.6405i | −1.11604 | − | 0.451435i | ||||
\(914\) | 8.41968 | 0.278498 | ||||||||
\(915\) | −0.680464 | + | 2.09425i | −0.0224955 | + | 0.0692339i | ||||
\(916\) | −7.87205 | + | 5.71938i | −0.260100 | + | 0.188974i | ||||
\(917\) | −2.06258 | − | 1.49855i | −0.0681125 | − | 0.0494866i | ||||
\(918\) | −4.15299 | − | 12.7816i | −0.137069 | − | 0.421855i | ||||
\(919\) | 12.5232 | + | 38.5424i | 0.413101 | + | 1.27140i | 0.913938 | + | 0.405854i | \(0.133026\pi\) |
−0.500837 | + | 0.865542i | \(0.666974\pi\) | |||||||
\(920\) | 0.365778 | + | 0.265753i | 0.0120593 | + | 0.00876162i | ||||
\(921\) | −6.72302 | + | 4.88456i | −0.221531 | + | 0.160952i | ||||
\(922\) | −7.03418 | + | 21.6490i | −0.231658 | + | 0.712971i | ||||
\(923\) | −34.6809 | −1.14154 | ||||||||
\(924\) | −1.17723 | + | 0.293010i | −0.0387281 | + | 0.00963933i | ||||
\(925\) | 3.54127 | 0.116436 | ||||||||
\(926\) | 7.61421 | − | 23.4341i | 0.250218 | − | 0.770093i | ||||
\(927\) | 34.0230 | − | 24.7191i | 1.11746 | − | 0.811883i | ||||
\(928\) | 1.54336 | + | 1.12132i | 0.0506634 | + | 0.0368091i | ||||
\(929\) | 12.4676 | + | 38.3714i | 0.409049 | + | 1.25892i | 0.917466 | + | 0.397813i | \(0.130231\pi\) |
−0.508417 | + | 0.861111i | \(0.669769\pi\) | |||||||
\(930\) | 0.683973 | + | 2.10505i | 0.0224283 | + | 0.0690273i | ||||
\(931\) | 4.86192 | + | 3.53240i | 0.159343 | + | 0.115770i | ||||
\(932\) | −14.9296 | + | 10.8470i | −0.489036 | + | 0.355306i | ||||
\(933\) | −2.39745 | + | 7.37861i | −0.0784891 | + | 0.241565i | ||||
\(934\) | 4.38924 | 0.143620 | ||||||||
\(935\) | −1.45745 | + | 20.7218i | −0.0476636 | + | 0.677677i | ||||
\(936\) | 6.30706 | 0.206153 | ||||||||
\(937\) | 10.4256 | − | 32.0866i | 0.340589 | − | 1.04822i | −0.623315 | − | 0.781971i | \(-0.714214\pi\) |
0.963903 | − | 0.266253i | \(-0.0857856\pi\) | |||||||
\(938\) | 6.62964 | − | 4.81672i | 0.216465 | − | 0.157271i | ||||
\(939\) | 1.09513 | + | 0.795656i | 0.0357381 | + | 0.0259653i | ||||
\(940\) | −2.66783 | − | 8.21074i | −0.0870151 | − | 0.267805i | ||||
\(941\) | 3.80854 | + | 11.7215i | 0.124155 | + | 0.382109i | 0.993746 | − | 0.111663i | \(-0.0356177\pi\) |
−0.869591 | + | 0.493772i | \(0.835618\pi\) | |||||||
\(942\) | −3.75175 | − | 2.72580i | −0.122239 | − | 0.0888115i | ||||
\(943\) | 0.00756282 | − | 0.00549471i | 0.000246279 | − | 0.000178932i | ||||
\(944\) | −3.93314 | + | 12.1050i | −0.128013 | + | 0.393983i | ||||
\(945\) | −2.14573 | −0.0698005 | ||||||||
\(946\) | 6.52648 | + | 10.4540i | 0.212194 | + | 0.339888i | ||||
\(947\) | −0.817385 | −0.0265615 | −0.0132807 | − | 0.999912i | \(-0.504228\pi\) | ||||
−0.0132807 | + | 0.999912i | \(0.504228\pi\) | |||||||
\(948\) | 1.21447 | − | 3.73775i | 0.0394441 | − | 0.121396i | ||||
\(949\) | 22.7589 | − | 16.5353i | 0.738784 | − | 0.536758i | ||||
\(950\) | 4.86192 | + | 3.53240i | 0.157742 | + | 0.114606i | ||||
\(951\) | −0.871549 | − | 2.68235i | −0.0282619 | − | 0.0869812i | ||||
\(952\) | −1.93547 | − | 5.95676i | −0.0627289 | − | 0.193060i | ||||
\(953\) | −5.63233 | − | 4.09212i | −0.182449 | − | 0.132557i | 0.492812 | − | 0.870136i | \(-0.335969\pi\) |
−0.675261 | + | 0.737579i | \(0.735969\pi\) | |||||||
\(954\) | 18.6320 | − | 13.5370i | 0.603235 | − | 0.438276i | ||||
\(955\) | 2.08365 | − | 6.41282i | 0.0674254 | − | 0.207514i | ||||
\(956\) | 17.6068 | 0.569445 | ||||||||
\(957\) | 1.48834 | − | 1.77227i | 0.0481111 | − | 0.0572894i | ||||
\(958\) | −10.1427 | −0.327696 | ||||||||
\(959\) | 4.68562 | − | 14.4208i | 0.151306 | − | 0.465673i | ||||
\(960\) | 0.295920 | − | 0.214999i | 0.00955079 | − | 0.00693906i | ||||
\(961\) | −4.54392 | − | 3.30135i | −0.146578 | − | 0.106495i | ||||
\(962\) | −2.40802 | − | 7.41112i | −0.0776377 | − | 0.238944i | ||||
\(963\) | 1.63913 | + | 5.04473i | 0.0528203 | + | 0.162564i | ||||
\(964\) | −14.1444 | − | 10.2765i | −0.455562 | − | 0.330985i | ||||
\(965\) | −8.48808 | + | 6.16695i | −0.273241 | + | 0.198521i | ||||
\(966\) | −0.0511045 | + | 0.157284i | −0.00164426 | + | 0.00506052i | ||||
\(967\) | −5.35673 | −0.172261 | −0.0861304 | − | 0.996284i | \(-0.527450\pi\) | ||||
−0.0861304 | + | 0.996284i | \(0.527450\pi\) | |||||||
\(968\) | 7.90655 | + | 7.64765i | 0.254126 | + | 0.245805i | ||||
\(969\) | −13.7680 | −0.442293 | ||||||||
\(970\) | 1.30581 | − | 4.01887i | 0.0419270 | − | 0.129038i | ||||
\(971\) | 14.0840 | − | 10.2327i | 0.451978 | − | 0.328382i | −0.338398 | − | 0.941003i | \(-0.609885\pi\) |
0.790376 | + | 0.612622i | \(0.209885\pi\) | |||||||
\(972\) | −7.52004 | − | 5.46363i | −0.241206 | − | 0.175246i | ||||
\(973\) | −1.41077 | − | 4.34190i | −0.0452271 | − | 0.139195i | ||||
\(974\) | −6.98982 | − | 21.5124i | −0.223968 | − | 0.689303i | ||||
\(975\) | 0.651170 | + | 0.473102i | 0.0208541 | + | 0.0151514i | ||||
\(976\) | −4.87039 | + | 3.53854i | −0.155897 | + | 0.113266i | ||||
\(977\) | 1.67570 | − | 5.15729i | 0.0536105 | − | 0.164996i | −0.920666 | − | 0.390350i | \(-0.872354\pi\) |
0.974277 | + | 0.225354i | \(0.0723539\pi\) | |||||||
\(978\) | 6.89615 | 0.220515 | ||||||||
\(979\) | 20.4007 | − | 24.2926i | 0.652008 | − | 0.776394i | ||||
\(980\) | −1.00000 | −0.0319438 | ||||||||
\(981\) | 14.5079 | − | 44.6506i | 0.463200 | − | 1.42558i | ||||
\(982\) | −2.06416 | + | 1.49970i | −0.0658699 | + | 0.0478573i | ||||
\(983\) | −10.4527 | − | 7.59433i | −0.333389 | − | 0.242221i | 0.408478 | − | 0.912768i | \(-0.366060\pi\) |
−0.741867 | + | 0.670547i | \(0.766060\pi\) | |||||||
\(984\) | −0.00233704 | − | 0.00719267i | −7.45022e−5 | − | 0.000229294i | ||||
\(985\) | 2.59674 | + | 7.99196i | 0.0827392 | + | 0.254645i | ||||
\(986\) | 9.66655 | + | 7.02316i | 0.307846 | + | 0.223663i | ||||
\(987\) | 2.55477 | − | 1.85615i | 0.0813191 | − | 0.0590818i | ||||
\(988\) | 4.08651 | − | 12.5770i | 0.130009 | − | 0.400127i | ||||
\(989\) | 1.68002 | 0.0534215 | ||||||||
\(990\) | 5.03422 | + | 8.06370i | 0.159998 | + | 0.256281i | ||||
\(991\) | −26.6040 | −0.845104 | −0.422552 | − | 0.906339i | \(-0.638866\pi\) | ||||
−0.422552 | + | 0.906339i | \(0.638866\pi\) | |||||||
\(992\) | −1.86991 | + | 5.75500i | −0.0593698 | + | 0.182721i | ||||
\(993\) | −9.54323 | + | 6.93356i | −0.302845 | + | 0.220030i | ||||
\(994\) | 12.7505 | + | 9.26381i | 0.404423 | + | 0.293830i | ||||
\(995\) | −1.67205 | − | 5.14605i | −0.0530076 | − | 0.163141i | ||||
\(996\) | 1.23972 | + | 3.81546i | 0.0392820 | + | 0.120898i | ||||
\(997\) | 46.1652 | + | 33.5410i | 1.46207 | + | 1.06225i | 0.982819 | + | 0.184572i | \(0.0590899\pi\) |
0.479246 | + | 0.877680i | \(0.340910\pi\) | |||||||
\(998\) | −3.52428 | + | 2.56054i | −0.111559 | + | 0.0810524i | ||||
\(999\) | −2.34810 | + | 7.22669i | −0.0742904 | + | 0.228642i |
(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 | 770.2.n.k.141.3 | yes | 16 | |
11.4 | even | 5 | 8470.2.a.dh.1.5 | 8 | |||
11.5 | even | 5 | inner | 770.2.n.k.71.3 | ✓ | 16 | |
11.7 | odd | 10 | 8470.2.a.dg.1.5 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.k.71.3 | ✓ | 16 | 11.5 | even | 5 | inner | |
770.2.n.k.141.3 | yes | 16 | 1.1 | even | 1 | trivial | |
8470.2.a.dg.1.5 | 8 | 11.7 | odd | 10 | |||
8470.2.a.dh.1.5 | 8 | 11.4 | even | 5 |