Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(13,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.w (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 13.5 | ||
Character | \(\chi\) | \(=\) | 231.13 |
Dual form | 231.2.w.a.160.5 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50185 | − | 0.487979i | −1.06196 | − | 0.345053i | −0.274612 | − | 0.961555i | \(-0.588549\pi\) |
−0.787353 | + | 0.616502i | \(0.788549\pi\) | |||||||
\(3\) | −0.587785 | − | 0.809017i | −0.339358 | − | 0.467086i | ||||
\(4\) | 0.399382 | + | 0.290168i | 0.199691 | + | 0.145084i | ||||
\(5\) | 2.27762 | − | 0.740044i | 1.01858 | − | 0.330958i | 0.248316 | − | 0.968679i | \(-0.420123\pi\) |
0.770267 | + | 0.637722i | \(0.220123\pi\) | |||||||
\(6\) | 0.487979 | + | 1.50185i | 0.199217 | + | 0.613126i | ||||
\(7\) | 1.84555 | − | 1.89577i | 0.697554 | − | 0.716533i | ||||
\(8\) | 1.39817 | + | 1.92441i | 0.494327 | + | 0.680383i | ||||
\(9\) | −0.309017 | + | 0.951057i | −0.103006 | + | 0.317019i | ||||
\(10\) | −3.78176 | −1.19590 | ||||||||
\(11\) | −1.12813 | + | 3.11886i | −0.340145 | + | 0.940373i | ||||
\(12\) | − | 0.493663i | − | 0.142508i | ||||||
\(13\) | 1.34865 | − | 4.15073i | 0.374049 | − | 1.15120i | −0.570069 | − | 0.821597i | \(-0.693083\pi\) |
0.944118 | − | 0.329608i | \(-0.106917\pi\) | |||||||
\(14\) | −3.69683 | + | 1.94656i | −0.988020 | + | 0.520239i | ||||
\(15\) | −1.93746 | − | 1.40765i | −0.500250 | − | 0.363453i | ||||
\(16\) | −1.46586 | − | 4.51145i | −0.366465 | − | 1.12786i | ||||
\(17\) | −1.39659 | − | 4.29826i | −0.338723 | − | 1.04248i | −0.964859 | − | 0.262768i | \(-0.915365\pi\) |
0.626136 | − | 0.779714i | \(-0.284635\pi\) | |||||||
\(18\) | 0.928191 | − | 1.27755i | 0.218777 | − | 0.301120i | ||||
\(19\) | 4.07619 | − | 2.96153i | 0.935142 | − | 0.679421i | −0.0121042 | − | 0.999927i | \(-0.503853\pi\) |
0.947246 | + | 0.320506i | \(0.103853\pi\) | |||||||
\(20\) | 1.12438 | + | 0.365332i | 0.251418 | + | 0.0816907i | ||||
\(21\) | −2.61850 | − | 0.378780i | −0.571403 | − | 0.0826566i | ||||
\(22\) | 3.21622 | − | 4.13355i | 0.685701 | − | 0.881275i | ||||
\(23\) | −3.78029 | −0.788245 | −0.394123 | − | 0.919058i | \(-0.628952\pi\) | ||||
−0.394123 | + | 0.919058i | \(0.628952\pi\) | |||||||
\(24\) | 0.735061 | − | 2.26229i | 0.150044 | − | 0.461787i | ||||
\(25\) | 0.594803 | − | 0.432150i | 0.118961 | − | 0.0864299i | ||||
\(26\) | −4.05094 | + | 5.57564i | −0.794454 | + | 1.09347i | ||||
\(27\) | 0.951057 | − | 0.309017i | 0.183031 | − | 0.0594703i | ||||
\(28\) | 1.28717 | − | 0.221614i | 0.243252 | − | 0.0418812i | ||||
\(29\) | 0.149275 | − | 0.205459i | 0.0277196 | − | 0.0381528i | −0.794932 | − | 0.606698i | \(-0.792494\pi\) |
0.822652 | + | 0.568545i | \(0.192494\pi\) | |||||||
\(30\) | 2.22286 | + | 3.05951i | 0.405837 | + | 0.558587i | ||||
\(31\) | −8.12858 | − | 2.64114i | −1.45994 | − | 0.474362i | −0.531886 | − | 0.846816i | \(-0.678516\pi\) |
−0.928051 | + | 0.372454i | \(0.878516\pi\) | |||||||
\(32\) | 2.73340i | 0.483201i | ||||||||
\(33\) | 3.18631 | − | 0.920544i | 0.554666 | − | 0.160246i | ||||
\(34\) | 7.13683i | 1.22396i | ||||||||
\(35\) | 2.80052 | − | 5.68363i | 0.473374 | − | 0.960708i | ||||
\(36\) | −0.399382 | + | 0.290168i | −0.0665636 | + | 0.0483613i | ||||
\(37\) | 6.47684 | + | 4.70570i | 1.06479 | + | 0.773612i | 0.974968 | − | 0.222346i | \(-0.0713716\pi\) |
0.0898176 | + | 0.995958i | \(0.471372\pi\) | |||||||
\(38\) | −7.56697 | + | 2.45866i | −1.22752 | + | 0.398847i | ||||
\(39\) | −4.15073 | + | 1.34865i | −0.664649 | + | 0.215957i | ||||
\(40\) | 4.60865 | + | 3.34838i | 0.728691 | + | 0.529425i | ||||
\(41\) | 1.59628 | − | 1.15977i | 0.249297 | − | 0.181125i | −0.456118 | − | 0.889919i | \(-0.650761\pi\) |
0.705415 | + | 0.708794i | \(0.250761\pi\) | |||||||
\(42\) | 3.74774 | + | 1.84664i | 0.578289 | + | 0.284943i | ||||
\(43\) | 1.35422i | 0.206516i | 0.994655 | + | 0.103258i | \(0.0329268\pi\) | ||||
−0.994655 | + | 0.103258i | \(0.967073\pi\) | |||||||
\(44\) | −1.35555 | + | 0.918270i | −0.204357 | + | 0.138434i | ||||
\(45\) | 2.39483i | 0.357000i | ||||||||
\(46\) | 5.67741 | + | 1.84470i | 0.837089 | + | 0.271987i | ||||
\(47\) | 7.89040 | + | 10.8602i | 1.15093 | + | 1.58412i | 0.740228 | + | 0.672356i | \(0.234718\pi\) |
0.410706 | + | 0.911768i | \(0.365282\pi\) | |||||||
\(48\) | −2.78823 | + | 3.83767i | −0.402447 | + | 0.553920i | ||||
\(49\) | −0.187865 | − | 6.99748i | −0.0268378 | − | 0.999640i | ||||
\(50\) | −1.10418 | + | 0.358770i | −0.156155 | + | 0.0507378i | ||||
\(51\) | −2.65647 | + | 3.65632i | −0.371981 | + | 0.511987i | ||||
\(52\) | 1.74304 | − | 1.26639i | 0.241715 | − | 0.175617i | ||||
\(53\) | 2.84457 | − | 8.75470i | 0.390732 | − | 1.20255i | −0.541503 | − | 0.840699i | \(-0.682145\pi\) |
0.932236 | − | 0.361852i | \(-0.117855\pi\) | |||||||
\(54\) | −1.57913 | −0.214893 | ||||||||
\(55\) | −0.261362 | + | 7.93846i | −0.0352421 | + | 1.07042i | ||||
\(56\) | 6.22864 | + | 0.901007i | 0.832337 | + | 0.120402i | ||||
\(57\) | −4.79185 | − | 1.55697i | −0.634696 | − | 0.206225i | ||||
\(58\) | −0.324448 | + | 0.235725i | −0.0426020 | + | 0.0309522i | ||||
\(59\) | −4.41538 | + | 6.07725i | −0.574833 | + | 0.791190i | −0.993117 | − | 0.117126i | \(-0.962632\pi\) |
0.418284 | + | 0.908316i | \(0.362632\pi\) | |||||||
\(60\) | −0.365332 | − | 1.12438i | −0.0471642 | − | 0.145156i | ||||
\(61\) | −1.04478 | − | 3.21550i | −0.133770 | − | 0.411702i | 0.861626 | − | 0.507543i | \(-0.169446\pi\) |
−0.995397 | + | 0.0958405i | \(0.969446\pi\) | |||||||
\(62\) | 10.9191 | + | 7.93316i | 1.38672 | + | 1.00751i | ||||
\(63\) | 1.23267 | + | 2.34105i | 0.155302 | + | 0.294945i | ||||
\(64\) | −1.59788 | + | 4.91776i | −0.199735 | + | 0.614721i | ||||
\(65\) | − | 10.4518i | − | 1.29639i | ||||||
\(66\) | −5.23456 | − | 0.172340i | −0.644329 | − | 0.0212136i | ||||
\(67\) | −2.58370 | −0.315649 | −0.157824 | − | 0.987467i | \(-0.550448\pi\) | ||||
−0.157824 | + | 0.987467i | \(0.550448\pi\) | |||||||
\(68\) | 0.689445 | − | 2.12189i | 0.0836075 | − | 0.257317i | ||||
\(69\) | 2.22200 | + | 3.05832i | 0.267497 | + | 0.368179i | ||||
\(70\) | −6.97944 | + | 7.16933i | −0.834202 | + | 0.856899i | ||||
\(71\) | 2.58274 | + | 7.94885i | 0.306515 | + | 0.943355i | 0.979108 | + | 0.203342i | \(0.0651805\pi\) |
−0.672593 | + | 0.740013i | \(0.734820\pi\) | |||||||
\(72\) | −2.26229 | + | 0.735061i | −0.266613 | + | 0.0866278i | ||||
\(73\) | 7.95082 | + | 5.77661i | 0.930573 | + | 0.676101i | 0.946133 | − | 0.323778i | \(-0.104953\pi\) |
−0.0155604 | + | 0.999879i | \(0.504953\pi\) | |||||||
\(74\) | −7.43092 | − | 10.2278i | −0.863827 | − | 1.18896i | ||||
\(75\) | −0.699233 | − | 0.227194i | −0.0807404 | − | 0.0262342i | ||||
\(76\) | 2.48730 | 0.285312 | ||||||||
\(77\) | 3.83061 | + | 7.89471i | 0.436539 | + | 0.899686i | ||||
\(78\) | 6.89187 | 0.780350 | ||||||||
\(79\) | 5.10022 | + | 1.65716i | 0.573820 | + | 0.186445i | 0.581530 | − | 0.813525i | \(-0.302454\pi\) |
−0.00771021 | + | 0.999970i | \(0.502454\pi\) | |||||||
\(80\) | −6.67734 | − | 9.19058i | −0.746550 | − | 1.02754i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −2.96331 | + | 0.962837i | −0.327243 | + | 0.106328i | ||||
\(83\) | −1.64799 | − | 5.07201i | −0.180891 | − | 0.556725i | 0.818963 | − | 0.573847i | \(-0.194550\pi\) |
−0.999853 | + | 0.0171221i | \(0.994550\pi\) | |||||||
\(84\) | −0.935870 | − | 0.911081i | −0.102112 | − | 0.0994071i | ||||
\(85\) | −6.36180 | − | 8.75627i | −0.690035 | − | 0.949751i | ||||
\(86\) | 0.660830 | − | 2.03383i | 0.0712592 | − | 0.219313i | ||||
\(87\) | −0.253962 | −0.0272275 | ||||||||
\(88\) | −7.57931 | + | 2.18970i | −0.807957 | + | 0.233423i | ||||
\(89\) | − | 4.76358i | − | 0.504938i | −0.967605 | − | 0.252469i | \(-0.918757\pi\) | ||
0.967605 | − | 0.252469i | \(-0.0812426\pi\) | |||||||
\(90\) | 1.16863 | − | 3.59667i | 0.123184 | − | 0.379122i | ||||
\(91\) | −5.37980 | − | 10.2171i | −0.563956 | − | 1.07105i | ||||
\(92\) | −1.50978 | − | 1.09692i | −0.157405 | − | 0.114362i | ||||
\(93\) | 2.64114 | + | 8.12858i | 0.273873 | + | 0.842895i | ||||
\(94\) | −6.55061 | − | 20.1607i | −0.675644 | − | 2.07942i | ||||
\(95\) | 7.09235 | − | 9.76179i | 0.727660 | − | 1.00154i | ||||
\(96\) | 2.21137 | − | 1.60665i | 0.225697 | − | 0.163978i | ||||
\(97\) | 10.2381 | + | 3.32658i | 1.03953 | + | 0.337763i | 0.778550 | − | 0.627583i | \(-0.215956\pi\) |
0.260976 | + | 0.965345i | \(0.415956\pi\) | |||||||
\(98\) | −3.13248 | + | 10.6008i | −0.316428 | + | 1.07084i | ||||
\(99\) | −2.61760 | − | 2.03670i | −0.263079 | − | 0.204696i | ||||
\(100\) | 0.362949 | 0.0362949 | ||||||||
\(101\) | 3.02191 | − | 9.30050i | 0.300692 | − | 0.925434i | −0.680558 | − | 0.732694i | \(-0.738263\pi\) |
0.981250 | − | 0.192740i | \(-0.0617374\pi\) | |||||||
\(102\) | 5.77382 | − | 4.19493i | 0.571693 | − | 0.415360i | ||||
\(103\) | −4.47540 | + | 6.15986i | −0.440974 | + | 0.606949i | −0.970428 | − | 0.241390i | \(-0.922397\pi\) |
0.529454 | + | 0.848339i | \(0.322397\pi\) | |||||||
\(104\) | 9.87337 | − | 3.20805i | 0.968164 | − | 0.314575i | ||||
\(105\) | −6.24425 | + | 1.07508i | −0.609377 | + | 0.104917i | ||||
\(106\) | −8.54422 | + | 11.7601i | −0.829888 | + | 1.14224i | ||||
\(107\) | 0.109443 | + | 0.150635i | 0.0105802 | + | 0.0145624i | 0.814274 | − | 0.580480i | \(-0.197135\pi\) |
−0.803694 | + | 0.595043i | \(0.797135\pi\) | |||||||
\(108\) | 0.469501 | + | 0.152550i | 0.0451778 | + | 0.0146792i | ||||
\(109\) | 19.8999i | 1.90606i | 0.302869 | + | 0.953032i | \(0.402056\pi\) | ||||
−0.302869 | + | 0.953032i | \(0.597944\pi\) | |||||||
\(110\) | 4.26633 | − | 11.7948i | 0.406778 | − | 1.12459i | ||||
\(111\) | − | 8.00581i | − | 0.759878i | ||||||
\(112\) | −11.2580 | − | 5.54720i | −1.06378 | − | 0.524161i | ||||
\(113\) | 1.45833 | − | 1.05954i | 0.137188 | − | 0.0996727i | −0.517075 | − | 0.855940i | \(-0.672979\pi\) |
0.654263 | + | 0.756267i | \(0.272979\pi\) | |||||||
\(114\) | 6.43685 | + | 4.67664i | 0.602866 | + | 0.438008i | ||||
\(115\) | −8.61007 | + | 2.79758i | −0.802893 | + | 0.260876i | ||||
\(116\) | 0.119235 | − | 0.0387419i | 0.0110707 | − | 0.00359709i | ||||
\(117\) | 3.53082 | + | 2.56529i | 0.326424 | + | 0.237161i | ||||
\(118\) | 9.59678 | − | 6.97247i | 0.883455 | − | 0.641868i | ||||
\(119\) | −10.7260 | − | 5.28507i | −0.983250 | − | 0.484481i | ||||
\(120\) | − | 5.69660i | − | 0.520026i | ||||||
\(121\) | −8.45463 | − | 7.03699i | −0.768603 | − | 0.639726i | ||||
\(122\) | 5.33901i | 0.483371i | ||||||||
\(123\) | −1.87654 | − | 0.609725i | −0.169202 | − | 0.0549770i | ||||
\(124\) | −2.48003 | − | 3.41347i | −0.222714 | − | 0.306539i | ||||
\(125\) | −6.00331 | + | 8.26284i | −0.536952 | + | 0.739051i | ||||
\(126\) | −0.708902 | − | 4.11741i | −0.0631540 | − | 0.366808i | ||||
\(127\) | 14.6518 | − | 4.76067i | 1.30014 | − | 0.422442i | 0.424511 | − | 0.905423i | \(-0.360446\pi\) |
0.875631 | + | 0.482981i | \(0.160446\pi\) | |||||||
\(128\) | 8.01284 | − | 11.0287i | 0.708241 | − | 0.974811i | ||||
\(129\) | 1.09559 | − | 0.795990i | 0.0964609 | − | 0.0700830i | ||||
\(130\) | −5.10028 | + | 15.6971i | −0.447324 | + | 1.37672i | ||||
\(131\) | −21.6575 | −1.89223 | −0.946114 | − | 0.323834i | \(-0.895028\pi\) | ||||
−0.946114 | + | 0.323834i | \(0.895028\pi\) | |||||||
\(132\) | 1.53967 | + | 0.556917i | 0.134011 | + | 0.0484734i | ||||
\(133\) | 1.90846 | − | 13.1932i | 0.165485 | − | 1.14399i | ||||
\(134\) | 3.88031 | + | 1.26079i | 0.335208 | + | 0.108916i | ||||
\(135\) | 1.93746 | − | 1.40765i | 0.166750 | − | 0.121151i | ||||
\(136\) | 6.31897 | − | 8.69732i | 0.541847 | − | 0.745789i | ||||
\(137\) | 0.848396 | + | 2.61109i | 0.0724834 | + | 0.223081i | 0.980735 | − | 0.195344i | \(-0.0625823\pi\) |
−0.908251 | + | 0.418425i | \(0.862582\pi\) | |||||||
\(138\) | −1.84470 | − | 5.67741i | −0.157032 | − | 0.483294i | ||||
\(139\) | 0.0505775 | + | 0.0367467i | 0.00428993 | + | 0.00311682i | 0.589928 | − | 0.807456i | \(-0.299156\pi\) |
−0.585638 | + | 0.810573i | \(0.699156\pi\) | |||||||
\(140\) | 2.76768 | − | 1.45732i | 0.233912 | − | 0.123166i | ||||
\(141\) | 4.14823 | − | 12.7669i | 0.349344 | − | 1.07517i | ||||
\(142\) | − | 13.1983i | − | 1.10757i | ||||||
\(143\) | 11.4241 | + | 8.88884i | 0.955331 | + | 0.743322i | ||||
\(144\) | 4.74362 | 0.395302 | ||||||||
\(145\) | 0.187943 | − | 0.578428i | 0.0156078 | − | 0.0480358i | ||||
\(146\) | −9.12203 | − | 12.5554i | −0.754945 | − | 1.03909i | ||||
\(147\) | −5.55065 | + | 4.26500i | −0.457810 | + | 0.351771i | ||||
\(148\) | 1.22129 | + | 3.75874i | 0.100389 | + | 0.308966i | ||||
\(149\) | −3.05059 | + | 0.991197i | −0.249914 | + | 0.0812021i | −0.431295 | − | 0.902211i | \(-0.641943\pi\) |
0.181381 | + | 0.983413i | \(0.441943\pi\) | |||||||
\(150\) | 0.939273 | + | 0.682422i | 0.0766913 | + | 0.0557195i | ||||
\(151\) | 7.53153 | + | 10.3663i | 0.612908 | + | 0.843595i | 0.996813 | − | 0.0797777i | \(-0.0254210\pi\) |
−0.383905 | + | 0.923373i | \(0.625421\pi\) | |||||||
\(152\) | 11.3984 | + | 3.70357i | 0.924533 | + | 0.300399i | ||||
\(153\) | 4.51946 | 0.365377 | ||||||||
\(154\) | −1.90053 | − | 13.7259i | −0.153149 | − | 1.10606i | ||||
\(155\) | −20.4684 | −1.64406 | ||||||||
\(156\) | −2.04906 | − | 0.665780i | −0.164056 | − | 0.0533051i | ||||
\(157\) | 11.7200 | + | 16.1312i | 0.935361 | + | 1.28741i | 0.957731 | + | 0.287664i | \(0.0928786\pi\) |
−0.0223707 | + | 0.999750i | \(0.507121\pi\) | |||||||
\(158\) | −6.85108 | − | 4.97760i | −0.545043 | − | 0.395997i | ||||
\(159\) | −8.75470 | + | 2.84457i | −0.694293 | + | 0.225589i | ||||
\(160\) | 2.02283 | + | 6.22564i | 0.159919 | + | 0.492180i | ||||
\(161\) | −6.97673 | + | 7.16655i | −0.549843 | + | 0.564804i | ||||
\(162\) | 0.928191 | + | 1.27755i | 0.0729256 | + | 0.100373i | ||||
\(163\) | −4.79540 | + | 14.7587i | −0.375605 | + | 1.15599i | 0.567465 | + | 0.823397i | \(0.307924\pi\) |
−0.943070 | + | 0.332595i | \(0.892076\pi\) | |||||||
\(164\) | 0.974052 | 0.0760607 | ||||||||
\(165\) | 6.57597 | − | 4.45466i | 0.511939 | − | 0.346795i | ||||
\(166\) | 8.42155i | 0.653639i | ||||||||
\(167\) | −1.99393 | + | 6.13668i | −0.154295 | + | 0.474870i | −0.998089 | − | 0.0617968i | \(-0.980317\pi\) |
0.843794 | + | 0.536667i | \(0.180317\pi\) | |||||||
\(168\) | −2.93217 | − | 5.56867i | −0.226222 | − | 0.429632i | ||||
\(169\) | −4.89246 | − | 3.55458i | −0.376343 | − | 0.273429i | ||||
\(170\) | 5.28157 | + | 16.2550i | 0.405078 | + | 1.24670i | ||||
\(171\) | 1.55697 | + | 4.79185i | 0.119064 | + | 0.366442i | ||||
\(172\) | −0.392951 | + | 0.540850i | −0.0299622 | + | 0.0412394i | ||||
\(173\) | 1.55305 | − | 1.12836i | 0.118076 | − | 0.0857873i | −0.527180 | − | 0.849754i | \(-0.676751\pi\) |
0.645256 | + | 0.763966i | \(0.276751\pi\) | |||||||
\(174\) | 0.381411 | + | 0.123928i | 0.0289147 | + | 0.00939495i | ||||
\(175\) | 0.278486 | − | 1.92516i | 0.0210515 | − | 0.145529i | ||||
\(176\) | 15.7243 | + | 0.517700i | 1.18526 | + | 0.0390231i | ||||
\(177\) | 7.51189 | 0.564628 | ||||||||
\(178\) | −2.32453 | + | 7.15416i | −0.174231 | + | 0.536227i | ||||
\(179\) | 3.93050 | − | 2.85568i | 0.293779 | − | 0.213443i | −0.431126 | − | 0.902292i | \(-0.641884\pi\) |
0.724905 | + | 0.688849i | \(0.241884\pi\) | |||||||
\(180\) | −0.694903 | + | 0.956452i | −0.0517950 | + | 0.0712897i | ||||
\(181\) | −5.18535 | + | 1.68482i | −0.385424 | + | 0.125232i | −0.495319 | − | 0.868711i | \(-0.664949\pi\) |
0.109894 | + | 0.993943i | \(0.464949\pi\) | |||||||
\(182\) | 3.09389 | + | 17.9698i | 0.229334 | + | 1.33201i | ||||
\(183\) | −1.98729 | + | 2.73527i | −0.146905 | + | 0.202197i | ||||
\(184\) | −5.28549 | − | 7.27485i | −0.389651 | − | 0.536309i | ||||
\(185\) | 18.2342 | + | 5.92465i | 1.34060 | + | 0.435589i | ||||
\(186\) | − | 13.4967i | − | 0.989626i | ||||||
\(187\) | 14.9812 | + | 0.493236i | 1.09554 | + | 0.0360690i | ||||
\(188\) | 6.62691i | 0.483317i | ||||||||
\(189\) | 1.16940 | − | 2.37329i | 0.0850614 | − | 0.172631i | ||||
\(190\) | −15.4152 | + | 11.1998i | −1.11833 | + | 0.812517i | ||||
\(191\) | −6.84435 | − | 4.97271i | −0.495240 | − | 0.359813i | 0.311956 | − | 0.950097i | \(-0.399016\pi\) |
−0.807196 | + | 0.590284i | \(0.799016\pi\) | |||||||
\(192\) | 4.91776 | − | 1.59788i | 0.354909 | − | 0.115317i | ||||
\(193\) | 3.07990 | − | 1.00072i | 0.221696 | − | 0.0720335i | −0.196063 | − | 0.980591i | \(-0.562816\pi\) |
0.417759 | + | 0.908558i | \(0.362816\pi\) | |||||||
\(194\) | −13.7528 | − | 9.99200i | −0.987394 | − | 0.717384i | ||||
\(195\) | −8.45572 | + | 6.14344i | −0.605527 | + | 0.439941i | ||||
\(196\) | 1.95541 | − | 2.84918i | 0.139672 | − | 0.203513i | ||||
\(197\) | 23.4951i | 1.67396i | 0.547235 | + | 0.836979i | \(0.315680\pi\) | ||||
−0.547235 | + | 0.836979i | \(0.684320\pi\) | |||||||
\(198\) | 2.93737 | + | 4.33614i | 0.208750 | + | 0.308156i | ||||
\(199\) | 8.42309i | 0.597097i | 0.954394 | + | 0.298549i | \(0.0965025\pi\) | ||||
−0.954394 | + | 0.298549i | \(0.903497\pi\) | |||||||
\(200\) | 1.66327 | + | 0.540429i | 0.117611 | + | 0.0382141i | ||||
\(201\) | 1.51866 | + | 2.09025i | 0.107118 | + | 0.147435i | ||||
\(202\) | −9.07690 | + | 12.4933i | −0.638648 | + | 0.879024i | ||||
\(203\) | −0.114008 | − | 0.662176i | −0.00800180 | − | 0.0464757i | ||||
\(204\) | −2.12189 | + | 0.689445i | −0.148562 | + | 0.0482708i | ||||
\(205\) | 2.77744 | − | 3.82282i | 0.193985 | − | 0.266997i | ||||
\(206\) | 9.72724 | − | 7.06725i | 0.677729 | − | 0.492399i | ||||
\(207\) | 1.16817 | − | 3.59527i | 0.0811937 | − | 0.249889i | ||||
\(208\) | −20.7028 | −1.43548 | ||||||||
\(209\) | 4.63811 | + | 16.0541i | 0.320825 | + | 1.11048i | ||||
\(210\) | 9.90252 | + | 1.43246i | 0.683339 | + | 0.0988488i | ||||
\(211\) | 3.44551 | + | 1.11951i | 0.237198 | + | 0.0770705i | 0.425204 | − | 0.905097i | \(-0.360202\pi\) |
−0.188006 | + | 0.982168i | \(0.560202\pi\) | |||||||
\(212\) | 3.67640 | − | 2.67106i | 0.252496 | − | 0.183449i | ||||
\(213\) | 4.91266 | − | 6.76170i | 0.336610 | − | 0.463304i | ||||
\(214\) | −0.0908591 | − | 0.279636i | −0.00621100 | − | 0.0191155i | ||||
\(215\) | 1.00218 | + | 3.08439i | 0.0683482 | + | 0.210354i | ||||
\(216\) | 1.92441 | + | 1.39817i | 0.130940 | + | 0.0951334i | ||||
\(217\) | −20.0087 | + | 10.5355i | −1.35828 | + | 0.715199i | ||||
\(218\) | 9.71074 | − | 29.8866i | 0.657694 | − | 2.02417i | ||||
\(219\) | − | 9.82775i | − | 0.664098i | ||||||
\(220\) | −2.40787 | + | 3.09463i | −0.162338 | + | 0.208640i | ||||
\(221\) | −19.7244 | −1.32681 | ||||||||
\(222\) | −3.90667 | + | 12.0235i | −0.262198 | + | 0.806964i | ||||
\(223\) | −14.6952 | − | 20.2262i | −0.984065 | − | 1.35445i | −0.934611 | − | 0.355673i | \(-0.884252\pi\) |
−0.0494541 | − | 0.998776i | \(-0.515748\pi\) | |||||||
\(224\) | 5.18189 | + | 5.04463i | 0.346229 | + | 0.337059i | ||||
\(225\) | 0.227194 | + | 0.699233i | 0.0151463 | + | 0.0466155i | ||||
\(226\) | −2.70721 | + | 0.879626i | −0.180081 | + | 0.0585118i | ||||
\(227\) | 6.13203 | + | 4.45518i | 0.406997 | + | 0.295701i | 0.772385 | − | 0.635155i | \(-0.219064\pi\) |
−0.365388 | + | 0.930855i | \(0.619064\pi\) | |||||||
\(228\) | −1.46200 | − | 2.01226i | −0.0968230 | − | 0.133265i | ||||
\(229\) | −4.03037 | − | 1.30955i | −0.266334 | − | 0.0865373i | 0.172806 | − | 0.984956i | \(-0.444717\pi\) |
−0.439140 | + | 0.898419i | \(0.644717\pi\) | |||||||
\(230\) | 14.2962 | 0.942660 | ||||||||
\(231\) | 4.13538 | − | 7.73942i | 0.272088 | − | 0.509217i | ||||
\(232\) | 0.604100 | 0.0396611 | ||||||||
\(233\) | 1.90879 | + | 0.620203i | 0.125049 | + | 0.0406309i | 0.370873 | − | 0.928684i | \(-0.379059\pi\) |
−0.245824 | + | 0.969314i | \(0.579059\pi\) | |||||||
\(234\) | −4.05094 | − | 5.57564i | −0.264818 | − | 0.364491i | ||||
\(235\) | 26.0084 | + | 18.8962i | 1.69660 | + | 1.23265i | ||||
\(236\) | −3.52684 | + | 1.14594i | −0.229578 | + | 0.0745944i | ||||
\(237\) | −1.65716 | − | 5.10022i | −0.107644 | − | 0.331295i | ||||
\(238\) | 13.5298 | + | 13.1714i | 0.877005 | + | 0.853776i | ||||
\(239\) | 13.0606 | + | 17.9763i | 0.844818 | + | 1.16279i | 0.984981 | + | 0.172664i | \(0.0552374\pi\) |
−0.140163 | + | 0.990128i | \(0.544763\pi\) | |||||||
\(240\) | −3.51049 | + | 10.8042i | −0.226601 | + | 0.697406i | ||||
\(241\) | 14.4971 | 0.933841 | 0.466921 | − | 0.884299i | \(-0.345363\pi\) | ||||
0.466921 | + | 0.884299i | \(0.345363\pi\) | |||||||
\(242\) | 9.26365 | + | 14.6942i | 0.595490 | + | 0.944576i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 0.515769 | − | 1.58737i | 0.0330187 | − | 0.101621i | ||||
\(245\) | −5.60632 | − | 15.7986i | −0.358175 | − | 1.00933i | ||||
\(246\) | 2.52074 | + | 1.83142i | 0.160717 | + | 0.116767i | ||||
\(247\) | −6.79512 | − | 20.9132i | −0.432363 | − | 1.33068i | ||||
\(248\) | −6.28249 | − | 19.3355i | −0.398939 | − | 1.22781i | ||||
\(249\) | −3.13467 | + | 4.31451i | −0.198652 | + | 0.273421i | ||||
\(250\) | 13.0481 | − | 9.48002i | 0.825236 | − | 0.599569i | ||||
\(251\) | −6.15040 | − | 1.99839i | −0.388210 | − | 0.126137i | 0.108408 | − | 0.994107i | \(-0.465425\pi\) |
−0.496618 | + | 0.867969i | \(0.665425\pi\) | |||||||
\(252\) | −0.186990 | + | 1.29265i | −0.0117792 | + | 0.0814296i | ||||
\(253\) | 4.26467 | − | 11.7902i | 0.268118 | − | 0.741245i | ||||
\(254\) | −24.3279 | −1.52647 | ||||||||
\(255\) | −3.34460 | + | 10.2936i | −0.209447 | + | 0.644611i | ||||
\(256\) | −9.04923 | + | 6.57465i | −0.565577 | + | 0.410915i | ||||
\(257\) | 13.7146 | − | 18.8765i | 0.855492 | − | 1.17748i | −0.127134 | − | 0.991886i | \(-0.540578\pi\) |
0.982626 | − | 0.185598i | \(-0.0594222\pi\) | |||||||
\(258\) | −2.03383 | + | 0.660830i | −0.126621 | + | 0.0411415i | ||||
\(259\) | 20.8743 | − | 3.59396i | 1.29706 | − | 0.223318i | ||||
\(260\) | 3.03279 | − | 4.17428i | 0.188086 | − | 0.258878i | ||||
\(261\) | 0.149275 | + | 0.205459i | 0.00923988 | + | 0.0127176i | ||||
\(262\) | 32.5263 | + | 10.5684i | 2.00948 | + | 0.652920i | ||||
\(263\) | − | 25.7659i | − | 1.58879i | −0.607399 | − | 0.794397i | \(-0.707787\pi\) | ||
0.607399 | − | 0.794397i | \(-0.292213\pi\) | |||||||
\(264\) | 6.22651 | + | 4.84471i | 0.383215 | + | 0.298172i | ||||
\(265\) | − | 22.0450i | − | 1.35421i | ||||||
\(266\) | −9.30421 | + | 18.8828i | −0.570477 | + | 1.15778i | ||||
\(267\) | −3.85382 | + | 2.79996i | −0.235850 | + | 0.171355i | ||||
\(268\) | −1.03188 | − | 0.749706i | −0.0630322 | − | 0.0457956i | ||||
\(269\) | −17.9003 | + | 5.81616i | −1.09140 | + | 0.354618i | −0.798788 | − | 0.601613i | \(-0.794525\pi\) |
−0.292613 | + | 0.956231i | \(0.594525\pi\) | |||||||
\(270\) | −3.59667 | + | 1.16863i | −0.218886 | + | 0.0711204i | ||||
\(271\) | −11.8757 | − | 8.62818i | −0.721395 | − | 0.524124i | 0.165434 | − | 0.986221i | \(-0.447097\pi\) |
−0.886830 | + | 0.462096i | \(0.847097\pi\) | |||||||
\(272\) | −17.3442 | + | 12.6013i | −1.05165 | + | 0.764066i | ||||
\(273\) | −5.10366 | + | 10.3578i | −0.308887 | + | 0.626884i | ||||
\(274\) | − | 4.33546i | − | 0.261915i | ||||||
\(275\) | 0.676799 | + | 2.34263i | 0.0408125 | + | 0.141266i | ||||
\(276\) | 1.86619i | 0.112331i | ||||||||
\(277\) | −24.3295 | − | 7.90512i | −1.46182 | − | 0.474973i | −0.533192 | − | 0.845994i | \(-0.679008\pi\) |
−0.928624 | + | 0.371022i | \(0.879008\pi\) | |||||||
\(278\) | −0.0580280 | − | 0.0798687i | −0.00348029 | − | 0.00479021i | ||||
\(279\) | 5.02374 | − | 6.91459i | 0.300763 | − | 0.413965i | ||||
\(280\) | 14.8533 | − | 2.55731i | 0.887652 | − | 0.152829i | ||||
\(281\) | −0.849968 | + | 0.276171i | −0.0507048 | + | 0.0164750i | −0.334260 | − | 0.942481i | \(-0.608486\pi\) |
0.283555 | + | 0.958956i | \(0.408486\pi\) | |||||||
\(282\) | −12.4600 | + | 17.1497i | −0.741982 | + | 1.02125i | ||||
\(283\) | −17.2204 | + | 12.5114i | −1.02365 | + | 0.743724i | −0.967028 | − | 0.254671i | \(-0.918033\pi\) |
−0.0566210 | + | 0.998396i | \(0.518033\pi\) | |||||||
\(284\) | −1.27500 | + | 3.92405i | −0.0756574 | + | 0.232850i | ||||
\(285\) | −12.0662 | −0.714742 | ||||||||
\(286\) | −12.8197 | − | 18.9244i | −0.758043 | − | 1.11902i | ||||
\(287\) | 0.747376 | − | 5.16659i | 0.0441162 | − | 0.304974i | ||||
\(288\) | −2.59962 | − | 0.844667i | −0.153184 | − | 0.0497725i | ||||
\(289\) | −2.77132 | + | 2.01348i | −0.163019 | + | 0.118440i | ||||
\(290\) | −0.564521 | + | 0.776997i | −0.0331498 | + | 0.0456268i | ||||
\(291\) | −3.32658 | − | 10.2381i | −0.195007 | − | 0.600171i | ||||
\(292\) | 1.49923 | + | 4.61414i | 0.0877355 | + | 0.270022i | ||||
\(293\) | −10.2442 | − | 7.44284i | −0.598472 | − | 0.434815i | 0.246864 | − | 0.969050i | \(-0.420600\pi\) |
−0.845336 | + | 0.534235i | \(0.820600\pi\) | |||||||
\(294\) | 10.4175 | − | 3.69677i | 0.607558 | − | 0.215600i | ||||
\(295\) | −5.55912 | + | 17.1092i | −0.323665 | + | 0.996138i | ||||
\(296\) | 19.0435i | 1.10688i | ||||||||
\(297\) | −0.109136 | + | 3.31483i | −0.00633271 | + | 0.192346i | ||||
\(298\) | 5.06520 | 0.293419 | ||||||||
\(299\) | −5.09830 | + | 15.6910i | −0.294843 | + | 0.907432i | ||||
\(300\) | −0.213336 | − | 0.293632i | −0.0123170 | − | 0.0169529i | ||||
\(301\) | 2.56728 | + | 2.49928i | 0.147976 | + | 0.144056i | ||||
\(302\) | −6.25268 | − | 19.2438i | −0.359801 | − | 1.10735i | ||||
\(303\) | −9.30050 | + | 3.02191i | −0.534300 | + | 0.173604i | ||||
\(304\) | −19.3359 | − | 14.0484i | −1.10899 | − | 0.805729i | ||||
\(305\) | −4.75922 | − | 6.55050i | −0.272512 | − | 0.375081i | ||||
\(306\) | −6.78753 | − | 2.20540i | −0.388017 | − | 0.126075i | ||||
\(307\) | 16.8071 | 0.959233 | 0.479617 | − | 0.877478i | \(-0.340776\pi\) | ||||
0.479617 | + | 0.877478i | \(0.340776\pi\) | |||||||
\(308\) | −0.760914 | + | 4.26452i | −0.0433571 | + | 0.242994i | ||||
\(309\) | 7.61400 | 0.433145 | ||||||||
\(310\) | 30.7403 | + | 9.98814i | 1.74593 | + | 0.567288i | ||||
\(311\) | 8.66130 | + | 11.9213i | 0.491137 | + | 0.675993i | 0.980597 | − | 0.196033i | \(-0.0628061\pi\) |
−0.489460 | + | 0.872026i | \(0.662806\pi\) | |||||||
\(312\) | −8.39879 | − | 6.10208i | −0.475488 | − | 0.345462i | ||||
\(313\) | −8.07108 | + | 2.62245i | −0.456204 | + | 0.148230i | −0.528100 | − | 0.849182i | \(-0.677095\pi\) |
0.0718953 | + | 0.997412i | \(0.477095\pi\) | |||||||
\(314\) | −9.72997 | − | 29.9458i | −0.549094 | − | 1.68994i | ||||
\(315\) | 4.54004 | + | 4.41979i | 0.255802 | + | 0.249027i | ||||
\(316\) | 1.55608 | + | 2.14176i | 0.0875364 | + | 0.120483i | ||||
\(317\) | 0.970572 | − | 2.98711i | 0.0545127 | − | 0.167773i | −0.920093 | − | 0.391699i | \(-0.871887\pi\) |
0.974606 | + | 0.223926i | \(0.0718874\pi\) | |||||||
\(318\) | 14.5363 | 0.815155 | ||||||||
\(319\) | 0.472398 | + | 0.697353i | 0.0264492 | + | 0.0390443i | ||||
\(320\) | 12.3833i | 0.692247i | ||||||||
\(321\) | 0.0575373 | − | 0.177082i | 0.00321142 | − | 0.00988374i | ||||
\(322\) | 13.9751 | − | 7.35856i | 0.778802 | − | 0.410076i | ||||
\(323\) | −18.4222 | − | 13.3845i | −1.02504 | − | 0.744734i | ||||
\(324\) | −0.152550 | − | 0.469501i | −0.00847501 | − | 0.0260834i | ||||
\(325\) | −0.991553 | − | 3.05169i | −0.0550014 | − | 0.169277i | ||||
\(326\) | 14.4039 | − | 19.8253i | 0.797758 | − | 1.09802i | ||||
\(327\) | 16.0994 | − | 11.6969i | 0.890296 | − | 0.646838i | ||||
\(328\) | 4.46374 | + | 1.45036i | 0.246469 | + | 0.0800826i | ||||
\(329\) | 35.1506 | + | 5.08473i | 1.93791 | + | 0.280330i | ||||
\(330\) | −12.0499 | + | 3.48127i | −0.663324 | + | 0.191638i | ||||
\(331\) | 13.4883 | 0.741382 | 0.370691 | − | 0.928756i | \(-0.379121\pi\) | ||||
0.370691 | + | 0.928756i | \(0.379121\pi\) | |||||||
\(332\) | 0.813554 | − | 2.50386i | 0.0446496 | − | 0.137417i | ||||
\(333\) | −6.47684 | + | 4.70570i | −0.354928 | + | 0.257871i | ||||
\(334\) | 5.98914 | − | 8.24335i | 0.327711 | − | 0.451056i | ||||
\(335\) | −5.88468 | + | 1.91205i | −0.321514 | + | 0.104466i | ||||
\(336\) | 2.12950 | + | 12.3685i | 0.116174 | + | 0.674755i | ||||
\(337\) | 15.1400 | − | 20.8385i | 0.824730 | − | 1.13514i | −0.164151 | − | 0.986435i | \(-0.552489\pi\) |
0.988881 | − | 0.148708i | \(-0.0475115\pi\) | |||||||
\(338\) | 5.61316 | + | 7.72585i | 0.305316 | + | 0.420231i | ||||
\(339\) | −1.71436 | − | 0.557031i | −0.0931115 | − | 0.0302538i | ||||
\(340\) | − | 5.34309i | − | 0.289770i | ||||||
\(341\) | 17.4075 | − | 22.3724i | 0.942667 | − | 1.21153i | ||||
\(342\) | − | 7.95638i | − | 0.430232i | ||||||
\(343\) | −13.6123 | − | 12.5581i | −0.734995 | − | 0.678072i | ||||
\(344\) | −2.60608 | + | 1.89343i | −0.140510 | + | 0.102087i | ||||
\(345\) | 7.32416 | + | 5.32132i | 0.394320 | + | 0.286490i | ||||
\(346\) | −2.88305 | + | 0.936760i | −0.154994 | + | 0.0503606i | ||||
\(347\) | 1.54622 | − | 0.502397i | 0.0830054 | − | 0.0269701i | −0.267220 | − | 0.963636i | \(-0.586105\pi\) |
0.350225 | + | 0.936665i | \(0.386105\pi\) | |||||||
\(348\) | −0.101428 | − | 0.0736915i | −0.00543709 | − | 0.00395028i | ||||
\(349\) | −14.0021 | + | 10.1731i | −0.749514 | + | 0.544554i | −0.895676 | − | 0.444707i | \(-0.853308\pi\) |
0.146162 | + | 0.989261i | \(0.453308\pi\) | |||||||
\(350\) | −1.35768 | + | 2.75540i | −0.0725711 | + | 0.147282i | ||||
\(351\) | − | 4.36433i | − | 0.232951i | ||||||
\(352\) | −8.52510 | − | 3.08364i | −0.454389 | − | 0.164358i | ||||
\(353\) | 13.0368i | 0.693878i | 0.937888 | + | 0.346939i | \(0.112779\pi\) | ||||
−0.937888 | + | 0.346939i | \(0.887221\pi\) | |||||||
\(354\) | −11.2817 | − | 3.66564i | −0.599615 | − | 0.194827i | ||||
\(355\) | 11.7650 | + | 16.1931i | 0.624421 | + | 0.859442i | ||||
\(356\) | 1.38224 | − | 1.90249i | 0.0732584 | − | 0.100832i | ||||
\(357\) | 2.02887 | + | 11.7840i | 0.107379 | + | 0.623675i | ||||
\(358\) | −7.29651 | + | 2.37078i | −0.385633 | + | 0.125300i | ||||
\(359\) | 0.856127 | − | 1.17836i | 0.0451847 | − | 0.0621914i | −0.785827 | − | 0.618447i | \(-0.787762\pi\) |
0.831012 | + | 0.556255i | \(0.187762\pi\) | |||||||
\(360\) | −4.60865 | + | 3.34838i | −0.242897 | + | 0.176475i | ||||
\(361\) | 1.97337 | − | 6.07341i | 0.103862 | − | 0.319653i | ||||
\(362\) | 8.60976 | 0.452519 | ||||||||
\(363\) | −0.723534 | + | 10.9762i | −0.0379757 | + | 0.576100i | ||||
\(364\) | 0.816086 | − | 5.64158i | 0.0427745 | − | 0.295699i | ||||
\(365\) | 22.3839 | + | 7.27296i | 1.17163 | + | 0.380684i | ||||
\(366\) | 4.31935 | − | 3.13819i | 0.225776 | − | 0.164036i | ||||
\(367\) | 13.8063 | − | 19.0027i | 0.720683 | − | 0.991935i | −0.278818 | − | 0.960344i | \(-0.589943\pi\) |
0.999501 | − | 0.0315913i | \(-0.0100575\pi\) | |||||||
\(368\) | 5.54138 | + | 17.0546i | 0.288864 | + | 0.889033i | ||||
\(369\) | 0.609725 | + | 1.87654i | 0.0317410 | + | 0.0976888i | ||||
\(370\) | −24.4938 | − | 17.7958i | −1.27337 | − | 0.925160i | ||||
\(371\) | −11.3471 | − | 21.5499i | −0.589110 | − | 1.11882i | ||||
\(372\) | −1.30383 | + | 4.01278i | −0.0676005 | + | 0.208053i | ||||
\(373\) | − | 5.16926i | − | 0.267654i | −0.991005 | − | 0.133827i | \(-0.957273\pi\) | ||
0.991005 | − | 0.133827i | \(-0.0427267\pi\) | |||||||
\(374\) | −22.2588 | − | 8.05130i | −1.15098 | − | 0.416323i | ||||
\(375\) | 10.2134 | 0.527420 | ||||||||
\(376\) | −9.86743 | + | 30.3688i | −0.508874 | + | 1.56615i | ||||
\(377\) | −0.651485 | − | 0.896693i | −0.0335532 | − | 0.0461820i | ||||
\(378\) | −2.91438 | + | 2.99367i | −0.149899 | + | 0.153978i | ||||
\(379\) | 1.53614 | + | 4.72776i | 0.0789064 | + | 0.242849i | 0.982727 | − | 0.185064i | \(-0.0592491\pi\) |
−0.903820 | + | 0.427913i | \(0.859249\pi\) | |||||||
\(380\) | 5.66511 | − | 1.84071i | 0.290614 | − | 0.0944263i | ||||
\(381\) | −12.4636 | − | 9.05534i | −0.638530 | − | 0.463919i | ||||
\(382\) | 7.85258 | + | 10.8082i | 0.401773 | + | 0.552993i | ||||
\(383\) | −32.0321 | − | 10.4078i | −1.63676 | − | 0.531816i | −0.660950 | − | 0.750430i | \(-0.729846\pi\) |
−0.975811 | + | 0.218614i | \(0.929846\pi\) | |||||||
\(384\) | −13.6323 | −0.695668 | ||||||||
\(385\) | 14.5671 | + | 15.1463i | 0.742408 | + | 0.771928i | ||||
\(386\) | −5.11387 | −0.260289 | ||||||||
\(387\) | −1.28794 | − | 0.418477i | −0.0654696 | − | 0.0212724i | ||||
\(388\) | 3.12366 | + | 4.29935i | 0.158580 | + | 0.218267i | ||||
\(389\) | 0.0908884 | + | 0.0660343i | 0.00460823 | + | 0.00334807i | 0.590087 | − | 0.807340i | \(-0.299093\pi\) |
−0.585479 | + | 0.810688i | \(0.699093\pi\) | |||||||
\(390\) | 15.6971 | − | 5.10028i | 0.794851 | − | 0.258263i | ||||
\(391\) | 5.27952 | + | 16.2487i | 0.266997 | + | 0.821732i | ||||
\(392\) | 13.2034 | − | 10.1452i | 0.666872 | − | 0.512409i | ||||
\(393\) | 12.7300 | + | 17.5213i | 0.642143 | + | 0.883834i | ||||
\(394\) | 11.4651 | − | 35.2860i | 0.577605 | − | 1.77768i | ||||
\(395\) | 12.8427 | 0.646188 | ||||||||
\(396\) | −0.454438 | − | 1.57297i | −0.0228364 | − | 0.0790445i | ||||
\(397\) | − | 14.7372i | − | 0.739637i | −0.929104 | − | 0.369818i | \(-0.879420\pi\) | ||
0.929104 | − | 0.369818i | \(-0.120580\pi\) | |||||||
\(398\) | 4.11029 | − | 12.6502i | 0.206030 | − | 0.634096i | ||||
\(399\) | −11.7953 | + | 6.21076i | −0.590502 | + | 0.310927i | ||||
\(400\) | −2.82152 | − | 2.04995i | −0.141076 | − | 0.102498i | ||||
\(401\) | 9.85223 | + | 30.3220i | 0.491997 | + | 1.51421i | 0.821585 | + | 0.570086i | \(0.193090\pi\) |
−0.329589 | + | 0.944125i | \(0.606910\pi\) | |||||||
\(402\) | −1.26079 | − | 3.88031i | −0.0628825 | − | 0.193532i | ||||
\(403\) | −21.9253 | + | 30.1776i | −1.09218 | + | 1.50325i | ||||
\(404\) | 3.90560 | − | 2.83759i | 0.194311 | − | 0.141175i | ||||
\(405\) | −2.27762 | − | 0.740044i | −0.113176 | − | 0.0367731i | ||||
\(406\) | −0.151906 | + | 1.05012i | −0.00753895 | + | 0.0521166i | ||||
\(407\) | −21.9832 | + | 14.8917i | −1.08966 | + | 0.738155i | ||||
\(408\) | −10.7505 | −0.532228 | ||||||||
\(409\) | 4.07043 | − | 12.5275i | 0.201270 | − | 0.619445i | −0.798576 | − | 0.601894i | \(-0.794413\pi\) |
0.999846 | − | 0.0175509i | \(-0.00558692\pi\) | |||||||
\(410\) | −6.03675 | + | 4.38595i | −0.298134 | + | 0.216607i | ||||
\(411\) | 1.61375 | − | 2.22113i | 0.0796002 | − | 0.109560i | ||||
\(412\) | −3.57478 | + | 1.16152i | −0.176117 | + | 0.0572239i | ||||
\(413\) | 3.37223 | + | 19.5864i | 0.165936 | + | 0.963784i | ||||
\(414\) | −3.50884 | + | 4.82950i | −0.172450 | + | 0.237357i | ||||
\(415\) | −7.50701 | − | 10.3325i | −0.368505 | − | 0.507203i | ||||
\(416\) | 11.3456 | + | 3.68641i | 0.556264 | + | 0.180741i | ||||
\(417\) | − | 0.0625173i | − | 0.00306148i | ||||||
\(418\) | 0.868328 | − | 26.3740i | 0.0424713 | − | 1.29000i | ||||
\(419\) | − | 33.5231i | − | 1.63771i | −0.574001 | − | 0.818854i | \(-0.694610\pi\) | ||
0.574001 | − | 0.818854i | \(-0.305390\pi\) | |||||||
\(420\) | −2.80580 | − | 1.38251i | −0.136909 | − | 0.0674597i | ||||
\(421\) | −6.13706 | + | 4.45883i | −0.299102 | + | 0.217310i | −0.727206 | − | 0.686419i | \(-0.759182\pi\) |
0.428104 | + | 0.903729i | \(0.359182\pi\) | |||||||
\(422\) | −4.62832 | − | 3.36267i | −0.225303 | − | 0.163692i | ||||
\(423\) | −12.7669 | + | 4.14823i | −0.620750 | + | 0.201694i | ||||
\(424\) | 20.8249 | − | 6.76641i | 1.01135 | − | 0.328606i | ||||
\(425\) | −2.68819 | − | 1.95308i | −0.130396 | − | 0.0947385i | ||||
\(426\) | −10.6776 | + | 7.75775i | −0.517332 | + | 0.375864i | ||||
\(427\) | −8.02403 | − | 3.95372i | −0.388310 | − | 0.191334i | ||||
\(428\) | 0.0919174i | 0.00444300i | ||||||||
\(429\) | 0.476306 | − | 14.4670i | 0.0229963 | − | 0.698474i | ||||
\(430\) | − | 5.12133i | − | 0.246972i | ||||||
\(431\) | 7.62478 | + | 2.47744i | 0.367273 | + | 0.119334i | 0.486838 | − | 0.873492i | \(-0.338150\pi\) |
−0.119565 | + | 0.992826i | \(0.538150\pi\) | |||||||
\(432\) | −2.78823 | − | 3.83767i | −0.134149 | − | 0.184640i | ||||
\(433\) | −0.703068 | + | 0.967690i | −0.0337873 | + | 0.0465042i | −0.825576 | − | 0.564290i | \(-0.809150\pi\) |
0.791789 | + | 0.610795i | \(0.209150\pi\) | |||||||
\(434\) | 35.1911 | − | 6.05892i | 1.68923 | − | 0.290837i | ||||
\(435\) | −0.578428 | + | 0.187943i | −0.0277335 | + | 0.00901116i | ||||
\(436\) | −5.77431 | + | 7.94766i | −0.276539 | + | 0.380624i | ||||
\(437\) | −15.4092 | + | 11.1954i | −0.737122 | + | 0.535550i | ||||
\(438\) | −4.79574 | + | 14.7598i | −0.229149 | + | 0.705248i | ||||
\(439\) | −15.4607 | −0.737897 | −0.368948 | − | 0.929450i | \(-0.620282\pi\) | ||||
−0.368948 | + | 0.929450i | \(0.620282\pi\) | |||||||
\(440\) | −15.6423 | + | 10.5963i | −0.745718 | + | 0.505160i | ||||
\(441\) | 6.71305 | + | 1.98367i | 0.319669 | + | 0.0944605i | ||||
\(442\) | 29.6231 | + | 9.62512i | 1.40903 | + | 0.457820i | ||||
\(443\) | −7.54062 | + | 5.47858i | −0.358266 | + | 0.260295i | −0.752328 | − | 0.658788i | \(-0.771069\pi\) |
0.394063 | + | 0.919084i | \(0.371069\pi\) | |||||||
\(444\) | 2.32303 | − | 3.19737i | 0.110246 | − | 0.151741i | ||||
\(445\) | −3.52526 | − | 10.8496i | −0.167113 | − | 0.514322i | ||||
\(446\) | 12.2000 | + | 37.5476i | 0.577685 | + | 1.77793i | ||||
\(447\) | 2.59499 | + | 1.88537i | 0.122739 | + | 0.0891749i | ||||
\(448\) | 6.37396 | + | 12.1052i | 0.301142 | + | 0.571917i | ||||
\(449\) | 6.04832 | − | 18.6148i | 0.285438 | − | 0.878488i | −0.700829 | − | 0.713329i | \(-0.747186\pi\) |
0.986267 | − | 0.165159i | \(-0.0528136\pi\) | |||||||
\(450\) | − | 1.16101i | − | 0.0547303i | ||||||
\(451\) | 1.81634 | + | 6.28695i | 0.0855279 | + | 0.296041i | ||||
\(452\) | 0.889871 | 0.0418560 | ||||||||
\(453\) | 3.95956 | − | 12.1863i | 0.186036 | − | 0.572561i | ||||
\(454\) | −7.03532 | − | 9.68329i | −0.330184 | − | 0.454459i | ||||
\(455\) | −19.8143 | − | 19.2894i | −0.928907 | − | 0.904303i | ||||
\(456\) | −3.70357 | − | 11.3984i | −0.173435 | − | 0.533779i | ||||
\(457\) | −21.6525 | + | 7.03532i | −1.01286 | + | 0.329098i | −0.767993 | − | 0.640458i | \(-0.778744\pi\) |
−0.244868 | + | 0.969557i | \(0.578744\pi\) | |||||||
\(458\) | 5.41396 | + | 3.93347i | 0.252978 | + | 0.183799i | ||||
\(459\) | −2.65647 | − | 3.65632i | −0.123994 | − | 0.170662i | ||||
\(460\) | −4.25047 | − | 1.38106i | −0.198179 | − | 0.0643923i | ||||
\(461\) | −5.86169 | −0.273006 | −0.136503 | − | 0.990640i | \(-0.543586\pi\) | ||||
−0.136503 | + | 0.990640i | \(0.543586\pi\) | |||||||
\(462\) | −9.98737 | + | 9.60544i | −0.464655 | + | 0.446885i | ||||
\(463\) | 39.6844 | 1.84429 | 0.922146 | − | 0.386842i | \(-0.126434\pi\) | ||||
0.922146 | + | 0.386842i | \(0.126434\pi\) | |||||||
\(464\) | −1.14574 | − | 0.372272i | −0.0531894 | − | 0.0172823i | ||||
\(465\) | 12.0310 | + | 16.5593i | 0.557925 | + | 0.767918i | ||||
\(466\) | −2.56406 | − | 1.86290i | −0.118778 | − | 0.0862971i | ||||
\(467\) | −2.72149 | + | 0.884266i | −0.125936 | + | 0.0409190i | −0.371307 | − | 0.928510i | \(-0.621090\pi\) |
0.245371 | + | 0.969429i | \(0.421090\pi\) | |||||||
\(468\) | 0.665780 | + | 2.04906i | 0.0307757 | + | 0.0947179i | ||||
\(469\) | −4.76835 | + | 4.89809i | −0.220182 | + | 0.226173i | ||||
\(470\) | −29.8396 | − | 41.0707i | −1.37640 | − | 1.89445i | ||||
\(471\) | 6.16159 | − | 18.9634i | 0.283911 | − | 0.873788i | ||||
\(472\) | −17.8686 | −0.822468 | ||||||||
\(473\) | −4.22362 | − | 1.52774i | −0.194202 | − | 0.0702455i | ||||
\(474\) | 8.46841i | 0.388967i | ||||||||
\(475\) | 1.14471 | − | 3.52305i | 0.0525228 | − | 0.161649i | ||||
\(476\) | −2.75021 | − | 5.22309i | −0.126056 | − | 0.239400i | ||||
\(477\) | 7.44719 | + | 5.41070i | 0.340983 | + | 0.247739i | ||||
\(478\) | −10.8429 | − | 33.3710i | −0.495942 | − | 1.52635i | ||||
\(479\) | −4.19338 | − | 12.9059i | −0.191601 | − | 0.589686i | −0.999999 | − | 0.00105098i | \(-0.999665\pi\) |
0.808399 | − | 0.588635i | \(-0.200335\pi\) | |||||||
\(480\) | 3.84766 | − | 5.29585i | 0.175621 | − | 0.241721i | ||||
\(481\) | 28.2671 | − | 20.5372i | 1.28887 | − | 0.936417i | ||||
\(482\) | −21.7724 | − | 7.07429i | −0.991707 | − | 0.322225i | ||||
\(483\) | 9.89868 | + | 1.43190i | 0.450406 | + | 0.0651537i | ||||
\(484\) | −1.33472 | − | 5.26371i | −0.0606690 | − | 0.239259i | ||||
\(485\) | 25.7804 | 1.17063 | ||||||||
\(486\) | 0.487979 | − | 1.50185i | 0.0221352 | − | 0.0681251i | ||||
\(487\) | 22.4241 | − | 16.2921i | 1.01613 | − | 0.738264i | 0.0506467 | − | 0.998717i | \(-0.483872\pi\) |
0.965487 | + | 0.260453i | \(0.0838718\pi\) | |||||||
\(488\) | 4.72718 | − | 6.50640i | 0.213989 | − | 0.294531i | ||||
\(489\) | 14.7587 | − | 4.79540i | 0.667412 | − | 0.216855i | ||||
\(490\) | 0.710459 | + | 26.4628i | 0.0320953 | + | 1.19547i | ||||
\(491\) | −13.5446 | + | 18.6426i | −0.611260 | + | 0.841327i | −0.996680 | − | 0.0814142i | \(-0.974056\pi\) |
0.385421 | + | 0.922741i | \(0.374056\pi\) | |||||||
\(492\) | −0.572533 | − | 0.788024i | −0.0258118 | − | 0.0355269i | ||||
\(493\) | −1.09159 | − | 0.354680i | −0.0491629 | − | 0.0159740i | ||||
\(494\) | 34.7243i | 1.56232i | ||||||||
\(495\) | −7.46915 | − | 2.70169i | −0.335714 | − | 0.121432i | ||||
\(496\) | 40.5433i | 1.82045i | ||||||||
\(497\) | 19.8357 | + | 9.77376i | 0.889755 | + | 0.438413i | ||||
\(498\) | 6.81318 | − | 4.95007i | 0.305306 | − | 0.221818i | ||||
\(499\) | 0.314460 | + | 0.228469i | 0.0140772 | + | 0.0102277i | 0.594802 | − | 0.803873i | \(-0.297231\pi\) |
−0.580724 | + | 0.814100i | \(0.697231\pi\) | |||||||
\(500\) | −4.79522 | + | 1.55806i | −0.214449 | + | 0.0696787i | ||||
\(501\) | 6.13668 | − | 1.99393i | 0.274167 | − | 0.0890821i | ||||
\(502\) | 8.26178 | + | 6.00254i | 0.368741 | + | 0.267906i | ||||
\(503\) | −7.12432 | + | 5.17612i | −0.317658 | + | 0.230792i | −0.735175 | − | 0.677877i | \(-0.762900\pi\) |
0.417518 | + | 0.908669i | \(0.362900\pi\) | |||||||
\(504\) | −2.78166 | + | 5.64536i | −0.123905 | + | 0.251464i | ||||
\(505\) | − | 23.4193i | − | 1.04215i | ||||||
\(506\) | −12.1583 | + | 15.6260i | −0.540501 | + | 0.694661i | ||||
\(507\) | 6.04741i | 0.268575i | ||||||||
\(508\) | 7.23307 | + | 2.35017i | 0.320916 | + | 0.104272i | ||||
\(509\) | 19.1615 | + | 26.3735i | 0.849317 | + | 1.16898i | 0.984013 | + | 0.178098i | \(0.0569943\pi\) |
−0.134696 | + | 0.990887i | \(0.543006\pi\) | |||||||
\(510\) | 10.0461 | − | 13.8273i | 0.444851 | − | 0.612284i | ||||
\(511\) | 25.6248 | − | 4.41186i | 1.13357 | − | 0.195169i | ||||
\(512\) | −9.13125 | + | 2.96692i | −0.403548 | + | 0.131121i | ||||
\(513\) | 2.96153 | − | 4.07619i | 0.130755 | − | 0.179968i | ||||
\(514\) | −29.8085 | + | 21.6572i | −1.31480 | + | 0.955256i | ||||
\(515\) | −5.63469 | + | 17.3418i | −0.248294 | + | 0.764171i | ||||
\(516\) | 0.668527 | 0.0294303 | ||||||||
\(517\) | −42.7729 | + | 12.3573i | −1.88115 | + | 0.543475i | ||||
\(518\) | −33.1037 | − | 4.78863i | −1.45449 | − | 0.210400i | ||||
\(519\) | −1.82572 | − | 0.593212i | −0.0801401 | − | 0.0260391i | ||||
\(520\) | 20.1137 | − | 14.6134i | 0.882043 | − | 0.640842i | ||||
\(521\) | −2.92396 | + | 4.02449i | −0.128101 | + | 0.176316i | −0.868250 | − | 0.496127i | \(-0.834755\pi\) |
0.740149 | + | 0.672443i | \(0.234755\pi\) | |||||||
\(522\) | −0.123928 | − | 0.381411i | −0.00542418 | − | 0.0166939i | ||||
\(523\) | 5.78854 | + | 17.8153i | 0.253115 | + | 0.779008i | 0.994195 | + | 0.107592i | \(0.0343139\pi\) |
−0.741080 | + | 0.671417i | \(0.765686\pi\) | |||||||
\(524\) | −8.64962 | − | 6.28432i | −0.377861 | − | 0.274532i | ||||
\(525\) | −1.72118 | + | 0.906283i | −0.0751184 | + | 0.0395534i | ||||
\(526\) | −12.5732 | + | 38.6964i | −0.548219 | + | 1.68724i | ||||
\(527\) | 38.6274i | 1.68264i | ||||||||
\(528\) | −8.82368 | − | 13.0255i | −0.384001 | − | 0.566863i | ||||
\(529\) | −8.70939 | −0.378669 | ||||||||
\(530\) | −10.7575 | + | 33.1082i | −0.467276 | + | 1.43813i | ||||
\(531\) | −4.41538 | − | 6.07725i | −0.191611 | − | 0.263730i | ||||
\(532\) | 4.59044 | − | 4.71533i | 0.199021 | − | 0.204436i | ||||
\(533\) | −2.66104 | − | 8.18985i | −0.115263 | − | 0.354742i | ||||
\(534\) | 7.15416 | − | 2.32453i | 0.309591 | − | 0.100592i | ||||
\(535\) | 0.360745 | + | 0.262096i | 0.0155964 | + | 0.0113314i | ||||
\(536\) | −3.61245 | − | 4.97210i | −0.156034 | − | 0.214762i | ||||
\(537\) | −4.62058 | − | 1.50132i | −0.199393 | − | 0.0647866i | ||||
\(538\) | 29.7217 | 1.28139 | ||||||||
\(539\) | 22.0361 | + | 7.30816i | 0.949163 | + | 0.314785i | ||||
\(540\) | 1.18224 | 0.0508755 | ||||||||
\(541\) | −36.6043 | − | 11.8935i | −1.57374 | − | 0.511340i | −0.613307 | − | 0.789845i | \(-0.710161\pi\) |
−0.960435 | + | 0.278505i | \(0.910161\pi\) | |||||||
\(542\) | 13.6250 | + | 18.7533i | 0.585246 | + | 0.805522i | ||||
\(543\) | 4.41092 | + | 3.20472i | 0.189291 | + | 0.137528i | ||||
\(544\) | 11.7489 | − | 3.81744i | 0.503729 | − | 0.163671i | ||||
\(545\) | 14.7268 | + | 45.3244i | 0.630826 | + | 1.94148i | ||||
\(546\) | 12.7193 | − | 13.0654i | 0.544336 | − | 0.559146i | ||||
\(547\) | 3.77889 | + | 5.20119i | 0.161574 | + | 0.222387i | 0.882126 | − | 0.471014i | \(-0.156112\pi\) |
−0.720552 | + | 0.693400i | \(0.756112\pi\) | |||||||
\(548\) | −0.418822 | + | 1.28900i | −0.0178912 | + | 0.0550634i | ||||
\(549\) | 3.38098 | 0.144297 | ||||||||
\(550\) | 0.126707 | − | 3.84853i | 0.00540283 | − | 0.164102i | ||||
\(551\) | − | 1.27957i | − | 0.0545116i | ||||||
\(552\) | −2.77875 | + | 8.55210i | −0.118271 | + | 0.364002i | ||||
\(553\) | 12.5543 | − | 6.61045i | 0.533864 | − | 0.281105i | ||||
\(554\) | 32.6816 | + | 23.7445i | 1.38851 | + | 1.00881i | ||||
\(555\) | −5.92465 | − | 18.2342i | −0.251487 | − | 0.773998i | ||||
\(556\) | 0.00953702 | + | 0.0293519i | 0.000404460 | + | 0.00124480i | ||||
\(557\) | 3.27715 | − | 4.51061i | 0.138857 | − | 0.191121i | −0.733925 | − | 0.679231i | \(-0.762314\pi\) |
0.872782 | + | 0.488110i | \(0.162314\pi\) | |||||||
\(558\) | −10.9191 | + | 7.93316i | −0.462240 | + | 0.335837i | ||||
\(559\) | 5.62099 | + | 1.82637i | 0.237743 | + | 0.0772473i | ||||
\(560\) | −29.7466 | − | 4.30301i | −1.25702 | − | 0.181835i | ||||
\(561\) | −8.40672 | − | 12.4100i | −0.354932 | − | 0.523950i | ||||
\(562\) | 1.41129 | 0.0595315 | ||||||||
\(563\) | 6.51811 | − | 20.0607i | 0.274706 | − | 0.845457i | −0.714591 | − | 0.699542i | \(-0.753387\pi\) |
0.989297 | − | 0.145915i | \(-0.0466127\pi\) | |||||||
\(564\) | 5.36128 | − | 3.89520i | 0.225751 | − | 0.164017i | ||||
\(565\) | 2.53741 | − | 3.49244i | 0.106750 | − | 0.146928i | ||||
\(566\) | 31.9677 | − | 10.3869i | 1.34370 | − | 0.436596i | ||||
\(567\) | −2.60739 | + | 0.448919i | −0.109500 | + | 0.0188528i | ||||
\(568\) | −11.6858 | + | 16.0841i | −0.490324 | + | 0.674874i | ||||
\(569\) | 8.54243 | + | 11.7577i | 0.358117 | + | 0.492906i | 0.949623 | − | 0.313394i | \(-0.101466\pi\) |
−0.591506 | + | 0.806301i | \(0.701466\pi\) | |||||||
\(570\) | 18.1216 | + | 5.88807i | 0.759031 | + | 0.246624i | ||||
\(571\) | 13.4953i | 0.564762i | 0.959302 | + | 0.282381i | \(0.0911242\pi\) | ||||
−0.959302 | + | 0.282381i | \(0.908876\pi\) | |||||||
\(572\) | 1.98332 | + | 6.86495i | 0.0829268 | + | 0.287038i | ||||
\(573\) | 8.46009i | 0.353425i | ||||||||
\(574\) | −3.64363 | + | 7.39471i | −0.152082 | + | 0.308649i | ||||
\(575\) | −2.24853 | + | 1.63365i | −0.0937701 | + | 0.0681280i | ||||
\(576\) | −4.18330 | − | 3.03935i | −0.174304 | − | 0.126639i | ||||
\(577\) | −12.0202 | + | 3.90559i | −0.500406 | + | 0.162592i | −0.548335 | − | 0.836259i | \(-0.684738\pi\) |
0.0479288 | + | 0.998851i | \(0.484738\pi\) | |||||||
\(578\) | 5.14463 | − | 1.67159i | 0.213988 | − | 0.0695290i | ||||
\(579\) | −2.61992 | − | 1.90349i | −0.108880 | − | 0.0791062i | ||||
\(580\) | 0.242902 | − | 0.176479i | 0.0100860 | − | 0.00732787i | ||||
\(581\) | −12.6568 | − | 6.23644i | −0.525093 | − | 0.258731i | ||||
\(582\) | 16.9994i | 0.704648i | ||||||||
\(583\) | 24.0957 | + | 18.7483i | 0.997940 | + | 0.776475i | ||||
\(584\) | 23.3773i | 0.967361i | ||||||||
\(585\) | 9.94029 | + | 3.22980i | 0.410981 | + | 0.133536i | ||||
\(586\) | 11.7532 | + | 16.1769i | 0.485522 | + | 0.668263i | ||||
\(587\) | 19.1271 | − | 26.3262i | 0.789459 | − | 1.08660i | −0.204717 | − | 0.978821i | \(-0.565627\pi\) |
0.994175 | − | 0.107775i | \(-0.0343727\pi\) | |||||||
\(588\) | −3.45440 | + | 0.0927419i | −0.142457 | + | 0.00382461i | ||||
\(589\) | −40.9554 | + | 13.3072i | −1.68754 | + | 0.548315i | ||||
\(590\) | 16.6979 | − | 22.9827i | 0.687441 | − | 0.946182i | ||||
\(591\) | 19.0079 | − | 13.8101i | 0.781882 | − | 0.568071i | ||||
\(592\) | 11.7354 | − | 36.1178i | 0.482322 | − | 1.48443i | ||||
\(593\) | −24.7966 | −1.01827 | −0.509136 | − | 0.860686i | \(-0.670035\pi\) | ||||
−0.509136 | + | 0.860686i | \(0.670035\pi\) | |||||||
\(594\) | 1.78147 | − | 4.92510i | 0.0730947 | − | 0.202079i | ||||
\(595\) | −28.3409 | − | 4.09967i | −1.16186 | − | 0.168070i | ||||
\(596\) | −1.50596 | − | 0.489317i | −0.0616867 | − | 0.0200432i | ||||
\(597\) | 6.81443 | − | 4.95097i | 0.278896 | − | 0.202630i | ||||
\(598\) | 15.3137 | − | 21.0775i | 0.626225 | − | 0.861925i | ||||
\(599\) | −1.70273 | − | 5.24047i | −0.0695718 | − | 0.214120i | 0.910226 | − | 0.414113i | \(-0.135908\pi\) |
−0.979797 | + | 0.199993i | \(0.935908\pi\) | |||||||
\(600\) | −0.540429 | − | 1.66327i | −0.0220629 | − | 0.0679027i | ||||
\(601\) | 20.7594 | + | 15.0826i | 0.846793 | + | 0.615231i | 0.924260 | − | 0.381764i | \(-0.124683\pi\) |
−0.0774672 | + | 0.996995i | \(0.524683\pi\) | |||||||
\(602\) | −2.63606 | − | 5.00632i | −0.107438 | − | 0.204042i | ||||
\(603\) | 0.798406 | − | 2.45724i | 0.0325136 | − | 0.100067i | ||||
\(604\) | 6.32551i | 0.257381i | ||||||||
\(605\) | −24.4641 | − | 9.77079i | −0.994608 | − | 0.397239i | ||||
\(606\) | 15.4425 | 0.627310 | ||||||||
\(607\) | 2.18909 | − | 6.73732i | 0.0888524 | − | 0.273459i | −0.896750 | − | 0.442537i | \(-0.854079\pi\) |
0.985603 | + | 0.169077i | \(0.0540787\pi\) | |||||||
\(608\) | 8.09503 | + | 11.1419i | 0.328297 | + | 0.451862i | ||||
\(609\) | −0.468700 | + | 0.481452i | −0.0189927 | + | 0.0195094i | ||||
\(610\) | 3.95110 | + | 12.1602i | 0.159975 | + | 0.492354i | ||||
\(611\) | 55.7192 | − | 18.1043i | 2.25416 | − | 0.732420i | ||||
\(612\) | 1.80499 | + | 1.31140i | 0.0729624 | + | 0.0530103i | ||||
\(613\) | −0.479532 | − | 0.660019i | −0.0193681 | − | 0.0266579i | 0.799223 | − | 0.601034i | \(-0.205245\pi\) |
−0.818591 | + | 0.574377i | \(0.805245\pi\) | |||||||
\(614\) | −25.2417 | − | 8.20153i | −1.01867 | − | 0.330987i | ||||
\(615\) | −4.72527 | −0.190541 | ||||||||
\(616\) | −9.83685 | + | 18.4098i | −0.396338 | + | 0.741753i | ||||
\(617\) | −10.1669 | −0.409303 | −0.204651 | − | 0.978835i | \(-0.565606\pi\) | ||||
−0.204651 | + | 0.978835i | \(0.565606\pi\) | |||||||
\(618\) | −11.4351 | − | 3.71547i | −0.459985 | − | 0.149458i | ||||
\(619\) | 16.9771 | + | 23.3670i | 0.682367 | + | 0.939198i | 0.999959 | − | 0.00902970i | \(-0.00287428\pi\) |
−0.317592 | + | 0.948227i | \(0.602874\pi\) | |||||||
\(620\) | −8.17470 | − | 5.93926i | −0.328304 | − | 0.238527i | ||||
\(621\) | −3.59527 | + | 1.16817i | −0.144273 | + | 0.0468772i | ||||
\(622\) | −7.19061 | − | 22.1304i | −0.288317 | − | 0.887349i | ||||
\(623\) | −9.03064 | − | 8.79144i | −0.361805 | − | 0.352222i | ||||
\(624\) | 12.1688 | + | 16.7489i | 0.487141 | + | 0.670492i | ||||
\(625\) | −8.69436 | + | 26.7585i | −0.347774 | + | 1.07034i | ||||
\(626\) | 13.4012 | 0.535620 | ||||||||
\(627\) | 10.2618 | − | 13.1887i | 0.409817 | − | 0.526704i | ||||
\(628\) | 9.84330i | 0.392790i | ||||||||
\(629\) | 11.1808 | − | 34.4111i | 0.445809 | − | 1.37206i | ||||
\(630\) | −4.66168 | − | 8.85329i | −0.185726 | − | 0.352723i | ||||
\(631\) | −28.4139 | − | 20.6439i | −1.13114 | − | 0.821821i | −0.145279 | − | 0.989391i | \(-0.546408\pi\) |
−0.985860 | + | 0.167570i | \(0.946408\pi\) | |||||||
\(632\) | 3.94191 | + | 12.1319i | 0.156801 | + | 0.482583i | ||||
\(633\) | −1.11951 | − | 3.44551i | −0.0444967 | − | 0.136947i | ||||
\(634\) | −2.91530 | + | 4.01256i | −0.115781 | + | 0.159359i | ||||
\(635\) | 29.8482 | − | 21.6860i | 1.18449 | − | 0.860583i | ||||
\(636\) | −4.32187 | − | 1.40426i | −0.171373 | − | 0.0556826i | ||||
\(637\) | −29.2980 | − | 8.65740i | −1.16083 | − | 0.343019i | ||||
\(638\) | −0.369174 | − | 1.27784i | −0.0146157 | − | 0.0505900i | ||||
\(639\) | −8.35792 | −0.330634 | ||||||||
\(640\) | 10.0885 | − | 31.0491i | 0.398781 | − | 1.22732i | ||||
\(641\) | 25.2362 | − | 18.3351i | 0.996769 | − | 0.724195i | 0.0353757 | − | 0.999374i | \(-0.488737\pi\) |
0.961393 | + | 0.275179i | \(0.0887372\pi\) | |||||||
\(642\) | −0.172824 | + | 0.237872i | −0.00682083 | + | 0.00938807i | ||||
\(643\) | 5.77756 | − | 1.87724i | 0.227845 | − | 0.0740312i | −0.192870 | − | 0.981224i | \(-0.561779\pi\) |
0.420714 | + | 0.907193i | \(0.361779\pi\) | |||||||
\(644\) | −4.86588 | + | 0.837767i | −0.191743 | + | 0.0330127i | ||||
\(645\) | 1.90626 | − | 2.62374i | 0.0750590 | − | 0.103310i | ||||
\(646\) | 21.1359 | + | 29.0911i | 0.831582 | + | 1.14457i | ||||
\(647\) | 12.8756 | + | 4.18354i | 0.506193 | + | 0.164472i | 0.550970 | − | 0.834525i | \(-0.314258\pi\) |
−0.0447774 | + | 0.998997i | \(0.514258\pi\) | |||||||
\(648\) | − | 2.37871i | − | 0.0934445i | ||||||
\(649\) | −13.9730 | − | 20.6269i | −0.548487 | − | 0.809677i | ||||
\(650\) | 5.06702i | 0.198745i | ||||||||
\(651\) | 20.2843 | + | 9.99476i | 0.795003 | + | 0.391725i | ||||
\(652\) | −6.19770 | + | 4.50289i | −0.242721 | + | 0.176347i | ||||
\(653\) | −20.7309 | − | 15.0619i | −0.811262 | − | 0.589416i | 0.102934 | − | 0.994688i | \(-0.467177\pi\) |
−0.914196 | + | 0.405272i | \(0.867177\pi\) | |||||||
\(654\) | −29.8866 | + | 9.71074i | −1.16866 | + | 0.379720i | ||||
\(655\) | −49.3276 | + | 16.0275i | −1.92739 | + | 0.626247i | ||||
\(656\) | −7.57215 | − | 5.50149i | −0.295643 | − | 0.214797i | ||||
\(657\) | −7.95082 | + | 5.77661i | −0.310191 | + | 0.225367i | ||||
\(658\) | −50.3095 | − | 24.7892i | −1.96127 | − | 0.966385i | ||||
\(659\) | − | 45.8130i | − | 1.78462i | −0.451423 | − | 0.892310i | \(-0.649083\pi\) | ||
0.451423 | − | 0.892310i | \(-0.350917\pi\) | |||||||
\(660\) | 3.91892 | + | 0.129025i | 0.152544 | + | 0.00502229i | ||||
\(661\) | − | 9.74337i | − | 0.378973i | −0.981883 | − | 0.189487i | \(-0.939318\pi\) | ||
0.981883 | − | 0.189487i | \(-0.0606823\pi\) | |||||||
\(662\) | −20.2573 | − | 6.58199i | −0.787321 | − | 0.255816i | ||||
\(663\) | 11.5937 | + | 15.9574i | 0.450263 | + | 0.619734i | ||||
\(664\) | 7.45647 | − | 10.2629i | 0.289367 | − | 0.398280i | ||||
\(665\) | −5.41676 | − | 31.4614i | −0.210053 | − | 1.22002i | ||||
\(666\) | 12.0235 | − | 3.90667i | 0.465901 | − | 0.151380i | ||||
\(667\) | −0.564303 | + | 0.776696i | −0.0218499 | + | 0.0300738i | ||||
\(668\) | −2.57700 | + | 1.87230i | −0.0997073 | + | 0.0724416i | ||||
\(669\) | −7.72573 | + | 23.7774i | −0.298694 | + | 0.919286i | ||||
\(670\) | 9.77092 | 0.377483 | ||||||||
\(671\) | 11.2074 | + | 0.368986i | 0.432655 | + | 0.0142446i | ||||
\(672\) | 1.03536 | − | 7.15740i | 0.0399398 | − | 0.276103i | ||||
\(673\) | −18.6090 | − | 6.04645i | −0.717326 | − | 0.233073i | −0.0724626 | − | 0.997371i | \(-0.523086\pi\) |
−0.644863 | + | 0.764298i | \(0.723086\pi\) | |||||||
\(674\) | −32.9067 | + | 23.9081i | −1.26752 | + | 0.920907i | ||||
\(675\) | 0.432150 | − | 0.594803i | 0.0166334 | − | 0.0228940i | ||||
\(676\) | −0.922534 | − | 2.83927i | −0.0354821 | − | 0.109203i | ||||
\(677\) | −7.80996 | − | 24.0366i | −0.300161 | − | 0.923801i | −0.981439 | − | 0.191776i | \(-0.938575\pi\) |
0.681278 | − | 0.732025i | \(-0.261425\pi\) | |||||||
\(678\) | 2.30289 | + | 1.67315i | 0.0884420 | + | 0.0642569i | ||||
\(679\) | 25.2015 | − | 13.2698i | 0.967143 | − | 0.509247i | ||||
\(680\) | 7.95582 | − | 24.4855i | 0.305092 | − | 0.938976i | ||||
\(681\) | − | 7.57961i | − | 0.290451i | ||||||
\(682\) | −37.0606 | + | 25.1054i | −1.41912 | + | 0.961335i | ||||
\(683\) | −0.850645 | −0.0325490 | −0.0162745 | − | 0.999868i | \(-0.505181\pi\) | ||||
−0.0162745 | + | 0.999868i | \(0.505181\pi\) | |||||||
\(684\) | −0.768616 | + | 2.36556i | −0.0293888 | + | 0.0904494i | ||||
\(685\) | 3.86465 | + | 5.31923i | 0.147661 | + | 0.203237i | ||||
\(686\) | 14.3155 | + | 25.5028i | 0.546568 | + | 0.973702i | ||||
\(687\) | 1.30955 | + | 4.03037i | 0.0499623 | + | 0.153768i | ||||
\(688\) | 6.10949 | − | 1.98509i | 0.232922 | − | 0.0756810i | ||||
\(689\) | −32.5020 | − | 23.6141i | −1.23823 | − | 0.899626i | ||||
\(690\) | −8.40307 | − | 11.5658i | −0.319899 | − | 0.440304i | ||||
\(691\) | −37.3080 | − | 12.1221i | −1.41926 | − | 0.461146i | −0.503895 | − | 0.863765i | \(-0.668100\pi\) |
−0.915368 | + | 0.402619i | \(0.868100\pi\) | |||||||
\(692\) | 0.947671 | 0.0360251 | ||||||||
\(693\) | −8.69204 | + | 1.20353i | −0.330183 | + | 0.0457183i | ||||
\(694\) | −2.56734 | −0.0974549 | ||||||||
\(695\) | 0.142391 | + | 0.0462655i | 0.00540118 | + | 0.00175495i | ||||
\(696\) | −0.355081 | − | 0.488727i | −0.0134593 | − | 0.0185252i | ||||
\(697\) | −7.21433 | − | 5.24152i | −0.273262 | − | 0.198537i | ||||
\(698\) | 25.9932 | − | 8.44571i | 0.983858 | − | 0.319675i | ||||
\(699\) | −0.620203 | − | 1.90879i | −0.0234582 | − | 0.0721970i | ||||
\(700\) | 0.669842 | − | 0.688067i | 0.0253177 | − | 0.0260065i | ||||
\(701\) | −2.94930 | − | 4.05936i | −0.111394 | − | 0.153320i | 0.749680 | − | 0.661800i | \(-0.230207\pi\) |
−0.861074 | + | 0.508480i | \(0.830207\pi\) | |||||||
\(702\) | −2.12970 | + | 6.55455i | −0.0803805 | + | 0.247386i | ||||
\(703\) | 40.3369 | 1.52133 | ||||||||
\(704\) | −13.5352 | − | 10.5315i | −0.510128 | − | 0.396919i | ||||
\(705\) | − | 32.1481i | − | 1.21077i | ||||||
\(706\) | 6.36168 | − | 19.5792i | 0.239425 | − | 0.736874i | ||||
\(707\) | −12.0545 | − | 22.8934i | −0.453355 | − | 0.860995i | ||||
\(708\) | 3.00011 | + | 2.17971i | 0.112751 | + | 0.0819184i | ||||
\(709\) | 11.4264 | + | 35.1668i | 0.429127 | + | 1.32072i | 0.898987 | + | 0.437975i | \(0.144304\pi\) |
−0.469861 | + | 0.882741i | \(0.655696\pi\) | |||||||
\(710\) | −9.76729 | − | 30.0606i | −0.366560 | − | 1.12816i | ||||
\(711\) | −3.15211 | + | 4.33851i | −0.118213 | + | 0.162707i | ||||
\(712\) | 9.16710 | − | 6.66029i | 0.343552 | − | 0.249605i | ||||
\(713\) | 30.7284 | + | 9.98427i | 1.15079 | + | 0.373914i | ||||
\(714\) | 2.70329 | − | 18.6878i | 0.101168 | − | 0.699372i | ||||
\(715\) | 32.5979 | + | 11.7911i | 1.21909 | + | 0.440961i | ||||
\(716\) | 2.39840 | 0.0896322 | ||||||||
\(717\) | 6.86635 | − | 21.1324i | 0.256428 | − | 0.789206i | ||||
\(718\) | −1.86079 | + | 1.35194i | −0.0694439 | + | 0.0504539i | ||||
\(719\) | −9.36131 | + | 12.8847i | −0.349118 | + | 0.480520i | −0.947077 | − | 0.321007i | \(-0.895979\pi\) |
0.597959 | + | 0.801527i | \(0.295979\pi\) | |||||||
\(720\) | 10.8042 | − | 3.51049i | 0.402648 | − | 0.130828i | ||||
\(721\) | 3.41807 | + | 19.8527i | 0.127295 | + | 0.739352i | ||||
\(722\) | −5.92739 | + | 8.15836i | −0.220595 | + | 0.303623i | ||||
\(723\) | −8.52119 | − | 11.7284i | −0.316907 | − | 0.436184i | ||||
\(724\) | −2.55982 | − | 0.831735i | −0.0951348 | − | 0.0309112i | ||||
\(725\) | − | 0.186717i | − | 0.00693449i | ||||||
\(726\) | 6.44278 | − | 16.1315i | 0.239114 | − | 0.598694i | ||||
\(727\) | − | 0.825903i | − | 0.0306310i | −0.999883 | − | 0.0153155i | \(-0.995125\pi\) | ||
0.999883 | − | 0.0153155i | \(-0.00487527\pi\) | |||||||
\(728\) | 12.1401 | − | 24.6382i | 0.449942 | − | 0.913154i | ||||
\(729\) | 0.809017 | − | 0.587785i | 0.0299636 | − | 0.0217698i | ||||
\(730\) | −30.0681 | − | 21.8457i | −1.11287 | − | 0.808547i | ||||
\(731\) | 5.82079 | − | 1.89129i | 0.215290 | − | 0.0699518i | ||||
\(732\) | −1.58737 | + | 0.515769i | −0.0586710 | + | 0.0190634i | ||||
\(733\) | −31.4653 | − | 22.8609i | −1.16220 | − | 0.844386i | −0.172144 | − | 0.985072i | \(-0.555069\pi\) |
−0.990054 | + | 0.140686i | \(0.955069\pi\) | |||||||
\(734\) | −30.0079 | + | 21.8020i | −1.10761 | + | 0.804726i | ||||
\(735\) | −9.48600 | + | 13.8218i | −0.349896 | + | 0.509824i | ||||
\(736\) | − | 10.3330i | − | 0.380881i | ||||||
\(737\) | 2.91475 | − | 8.05820i | 0.107366 | − | 0.296828i | ||||
\(738\) | − | 3.11581i | − | 0.114694i | ||||||
\(739\) | −28.1130 | − | 9.13447i | −1.03415 | − | 0.336017i | −0.257722 | − | 0.966219i | \(-0.582972\pi\) |
−0.776431 | + | 0.630202i | \(0.782972\pi\) | |||||||
\(740\) | 5.56326 | + | 7.65717i | 0.204510 | + | 0.281483i | ||||
\(741\) | −12.9251 | + | 17.7899i | −0.474815 | + | 0.653527i | ||||
\(742\) | 6.52561 | + | 37.9018i | 0.239563 | + | 1.39142i | ||||
\(743\) | 45.9205 | − | 14.9205i | 1.68466 | − | 0.547379i | 0.698854 | − | 0.715265i | \(-0.253694\pi\) |
0.985806 | + | 0.167886i | \(0.0536939\pi\) | |||||||
\(744\) | −11.9500 | + | 16.4478i | −0.438109 | + | 0.603005i | ||||
\(745\) | −6.21456 | + | 4.51514i | −0.227684 | + | 0.165422i | ||||
\(746\) | −2.52249 | + | 7.76343i | −0.0923550 | + | 0.284240i | ||||
\(747\) | 5.33302 | 0.195125 | ||||||||
\(748\) | 5.84011 | + | 4.54406i | 0.213536 | + | 0.166147i | ||||
\(749\) | 0.487550 | + | 0.0705269i | 0.0178147 | + | 0.00257700i | ||||
\(750\) | −15.3390 | − | 4.98394i | −0.560101 | − | 0.181988i | ||||
\(751\) | −43.9820 | + | 31.9548i | −1.60493 | + | 1.16605i | −0.727798 | + | 0.685792i | \(0.759456\pi\) |
−0.877129 | + | 0.480256i | \(0.840544\pi\) | |||||||
\(752\) | 37.4291 | − | 51.5167i | 1.36490 | − | 1.87862i | ||||
\(753\) | 1.99839 | + | 6.15040i | 0.0728253 | + | 0.224133i | ||||
\(754\) | 0.540863 | + | 1.66460i | 0.0196971 | + | 0.0606213i | ||||
\(755\) | 24.8255 | + | 18.0368i | 0.903491 | + | 0.656425i | ||||
\(756\) | 1.15569 | − | 0.608526i | 0.0420320 | − | 0.0221319i | ||||
\(757\) | −9.38058 | + | 28.8705i | −0.340943 | + | 1.04931i | 0.622777 | + | 0.782399i | \(0.286004\pi\) |
−0.963720 | + | 0.266915i | \(0.913996\pi\) | |||||||
\(758\) | − | 7.84998i | − | 0.285124i | ||||||
\(759\) | −12.0452 | + | 3.47993i | −0.437213 | + | 0.126313i | ||||
\(760\) | 28.7020 | 1.04113 | ||||||||
\(761\) | 7.21164 | − | 22.1951i | 0.261422 | − | 0.804573i | −0.731074 | − | 0.682298i | \(-0.760981\pi\) |
0.992496 | − | 0.122276i | \(-0.0390192\pi\) | |||||||
\(762\) | 14.2996 | + | 19.6817i | 0.518020 | + | 0.712993i | ||||
\(763\) | 37.7256 | + | 36.7263i | 1.36576 | + | 1.32958i | ||||
\(764\) | −1.29059 | − | 3.97202i | −0.0466918 | − | 0.143703i | ||||
\(765\) | 10.2936 | − | 3.34460i | 0.372166 | − | 0.120924i | ||||
\(766\) | 43.0284 | + | 31.2619i | 1.55468 | + | 1.12954i | ||||
\(767\) | 19.2702 | + | 26.5231i | 0.695806 | + | 0.957695i | ||||
\(768\) | 10.6380 | + | 3.45650i | 0.383866 | + | 0.124726i | ||||
\(769\) | 16.9136 | 0.609919 | 0.304960 | − | 0.952365i | \(-0.401357\pi\) | ||||
0.304960 | + | 0.952365i | \(0.401357\pi\) | |||||||
\(770\) | −14.4864 | − | 29.8559i | −0.522055 | − | 1.07593i | ||||
\(771\) | −23.3326 | −0.840304 | ||||||||
\(772\) | 1.52043 | + | 0.494019i | 0.0547216 | + | 0.0177801i | ||||
\(773\) | 4.80733 | + | 6.61672i | 0.172907 | + | 0.237987i | 0.886672 | − | 0.462399i | \(-0.153011\pi\) |
−0.713764 | + | 0.700386i | \(0.753011\pi\) | |||||||
\(774\) | 1.73008 | + | 1.25697i | 0.0621863 | + | 0.0451810i | ||||
\(775\) | −5.97627 | + | 1.94181i | −0.214674 | + | 0.0697518i | ||||
\(776\) | 7.91295 | + | 24.3536i | 0.284058 | + | 0.874242i | ||||
\(777\) | −15.1771 | − | 14.7752i | −0.544477 | − | 0.530056i | ||||
\(778\) | −0.104277 | − | 0.143525i | −0.00373851 | − | 0.00514562i | ||||
\(779\) | 3.07207 | − | 9.45485i | 0.110068 | − | 0.338755i | ||||
\(780\) | −5.15969 | −0.184746 | ||||||||
\(781\) | −27.7051 | − | 0.912149i | −0.991365 | − | 0.0326393i | ||||
\(782\) | − | 26.9793i | − | 0.964779i | ||||||
\(783\) | 0.0784784 | − | 0.241532i | 0.00280459 | − | 0.00863164i | ||||
\(784\) | −31.2934 | + | 11.1049i | −1.11762 | + | 0.396602i | ||||
\(785\) | 38.6316 | + | 28.0675i | 1.37882 | + | 1.00177i | ||||
\(786\) | −10.5684 | − | 32.5263i | −0.376963 | − | 1.16017i | ||||
\(787\) | −15.6117 | − | 48.0479i | −0.556498 | − | 1.71272i | −0.691955 | − | 0.721941i | \(-0.743250\pi\) |
0.135457 | − | 0.990783i | \(-0.456750\pi\) | |||||||
\(788\) | −6.81753 | + | 9.38352i | −0.242864 | + | 0.334274i | ||||
\(789\) | −20.8451 | + | 15.1448i | −0.742104 | + | 0.539170i | ||||
\(790\) | −19.2878 | − | 6.26699i | −0.686229 | − | 0.222969i | ||||
\(791\) | 0.682785 | − | 4.72007i | 0.0242770 | − | 0.167827i | ||||
\(792\) | 0.259603 | − | 7.88501i | 0.00922458 | − | 0.280182i | ||||
\(793\) | −14.7557 | −0.523991 | ||||||||
\(794\) | −7.19143 | + | 22.1329i | −0.255214 | + | 0.785468i | ||||
\(795\) | −17.8348 | + | 12.9577i | −0.632534 | + | 0.459563i | ||||
\(796\) | −2.44411 | + | 3.36403i | −0.0866292 | + | 0.119235i | ||||
\(797\) | −49.7877 | + | 16.1770i | −1.76357 | + | 0.573019i | −0.997560 | − | 0.0698082i | \(-0.977761\pi\) |
−0.766011 | + | 0.642827i | \(0.777761\pi\) | |||||||
\(798\) | 20.7454 | − | 3.57177i | 0.734378 | − | 0.126439i | ||||
\(799\) | 35.6604 | − | 49.0823i | 1.26157 | − | 1.73641i | ||||
\(800\) | 1.18124 | + | 1.62583i | 0.0417630 | + | 0.0574819i | ||||
\(801\) | 4.53043 | + | 1.47203i | 0.160075 | + | 0.0520115i | ||||
\(802\) | − | 50.3467i | − | 1.77780i | ||||||
\(803\) | −26.9860 | + | 18.2807i | −0.952316 | + | 0.645113i | ||||
\(804\) | 1.27548i | 0.0449825i | ||||||||
\(805\) | −10.5868 | + | 21.4858i | −0.373135 | + | 0.757274i | ||||
\(806\) | 47.6544 | − | 34.6230i | 1.67855 | − | 1.21954i | ||||
\(807\) | 15.2269 | + | 11.0630i | 0.536013 | + | 0.389436i | ||||
\(808\) | 22.1232 | − | 7.18825i | 0.778290 | − | 0.252882i | ||||
\(809\) | 7.10474 | − | 2.30847i | 0.249789 | − | 0.0811615i | −0.181446 | − | 0.983401i | \(-0.558078\pi\) |
0.431235 | + | 0.902239i | \(0.358078\pi\) | |||||||
\(810\) | 3.05951 | + | 2.22286i | 0.107500 | + | 0.0781034i | ||||
\(811\) | 35.4551 | − | 25.7596i | 1.24500 | − | 0.904543i | 0.247076 | − | 0.968996i | \(-0.420530\pi\) |
0.997921 | + | 0.0644528i | \(0.0205302\pi\) | |||||||
\(812\) | 0.146609 | − | 0.297543i | 0.00514498 | − | 0.0104417i | ||||
\(813\) | 14.6791i | 0.514820i | ||||||||
\(814\) | 40.2822 | − | 11.6377i | 1.41189 | − | 0.407903i | ||||
\(815\) | 37.1636i | 1.30178i | ||||||||
\(816\) | 20.3893 | + | 6.62490i | 0.713770 | + | 0.231918i | ||||
\(817\) | 4.01055 | + | 5.52005i | 0.140311 | + | 0.193122i | ||||
\(818\) | −12.2263 | + | 16.8281i | −0.427483 | + | 0.588380i | ||||
\(819\) | 11.3795 | − | 1.95923i | 0.397632 | − | 0.0684611i | ||||
\(820\) | 2.21852 | − | 0.720841i | 0.0774741 | − | 0.0251729i | ||||
\(821\) | 10.0757 | − | 13.8680i | 0.351644 | − | 0.483996i | −0.596153 | − | 0.802871i | \(-0.703305\pi\) |
0.947797 | + | 0.318875i | \(0.103305\pi\) | |||||||
\(822\) | −3.50746 | + | 2.54832i | −0.122337 | + | 0.0888829i | ||||
\(823\) | 9.44517 | − | 29.0692i | 0.329238 | − | 1.01329i | −0.640253 | − | 0.768164i | \(-0.721171\pi\) |
0.969491 | − | 0.245126i | \(-0.0788294\pi\) | |||||||
\(824\) | −18.1115 | −0.630943 | ||||||||
\(825\) | 1.49742 | − | 1.92451i | 0.0521333 | − | 0.0670027i | ||||
\(826\) | 4.49320 | − | 31.0613i | 0.156338 | − | 1.08076i | ||||
\(827\) | −25.4324 | − | 8.26348i | −0.884371 | − | 0.287349i | −0.168600 | − | 0.985685i | \(-0.553925\pi\) |
−0.715771 | + | 0.698335i | \(0.753925\pi\) | |||||||
\(828\) | 1.50978 | − | 1.09692i | 0.0524685 | − | 0.0381206i | ||||
\(829\) | −21.3891 | + | 29.4396i | −0.742876 | + | 1.02248i | 0.255573 | + | 0.966790i | \(0.417736\pi\) |
−0.998448 | + | 0.0556906i | \(0.982264\pi\) | |||||||
\(830\) | 6.23232 | + | 19.1811i | 0.216327 | + | 0.665786i | ||||
\(831\) | 7.90512 | + | 24.3295i | 0.274226 | + | 0.843980i | ||||
\(832\) | 18.2573 | + | 13.2647i | 0.632959 | + | 0.459871i | ||||
\(833\) | −29.8146 | + | 10.5801i | −1.03302 | + | 0.366579i | ||||
\(834\) | −0.0305071 | + | 0.0938913i | −0.00105638 | + | 0.00325119i | ||||
\(835\) | 15.4526i | 0.534760i | ||||||||
\(836\) | −2.80600 | + | 7.75754i | −0.0970475 | + | 0.268300i | ||||
\(837\) | −8.54690 | −0.295424 | ||||||||
\(838\) | −16.3586 | + | 50.3465i | −0.565097 | + | 1.73919i | ||||
\(839\) | 17.8301 | + | 24.5410i | 0.615562 | + | 0.847248i | 0.997020 | − | 0.0771375i | \(-0.0245781\pi\) |
−0.381458 | + | 0.924386i | \(0.624578\pi\) | |||||||
\(840\) | −10.7994 | − | 10.5134i | −0.372616 | − | 0.362746i | ||||
\(841\) | 8.94156 | + | 27.5193i | 0.308330 | + | 0.948941i | ||||
\(842\) | 11.3927 | − | 3.70172i | 0.392619 | − | 0.127570i | ||||
\(843\) | 0.723026 | + | 0.525309i | 0.0249023 | + | 0.0180926i | ||||
\(844\) | 1.05123 | + | 1.44689i | 0.0361847 | + | 0.0498039i | ||||
\(845\) | −13.7737 | − | 4.47535i | −0.473830 | − | 0.153957i | ||||
\(846\) | 21.1982 | 0.728810 | ||||||||
\(847\) | −28.9440 | + | 3.04088i | −0.994526 | + | 0.104486i | ||||
\(848\) | −43.6662 | −1.49950 | ||||||||
\(849\) | 20.2438 | + | 6.57762i | 0.694767 | + | 0.225743i | ||||
\(850\) | 3.08418 | + | 4.24501i | 0.105786 | + | 0.145603i | ||||
\(851\) | −24.4843 | − | 17.7889i | −0.839312 | − | 0.609796i | ||||
\(852\) | 3.92405 | − | 1.27500i | 0.134436 | − | 0.0436808i | ||||
\(853\) | 13.3518 | + | 41.0925i | 0.457156 | + | 1.40698i | 0.868585 | + | 0.495540i | \(0.165030\pi\) |
−0.411429 | + | 0.911442i | \(0.634970\pi\) | |||||||
\(854\) | 10.1215 | + | 9.85343i | 0.346351 | + | 0.337178i | ||||
\(855\) | 7.09235 | + | 9.76179i | 0.242553 | + | 0.333846i | ||||
\(856\) | −0.136864 | + | 0.421226i | −0.00467793 | + | 0.0143972i | ||||
\(857\) | 6.42231 | 0.219382 | 0.109691 | − | 0.993966i | \(-0.465014\pi\) | ||||
0.109691 | + | 0.993966i | \(0.465014\pi\) | |||||||
\(858\) | −7.77494 | + | 21.4948i | −0.265432 | + | 0.733820i | ||||
\(859\) | 48.3512i | 1.64972i | 0.565337 | + | 0.824860i | \(0.308746\pi\) | ||||
−0.565337 | + | 0.824860i | \(0.691254\pi\) | |||||||
\(860\) | −0.494739 | + | 1.52265i | −0.0168705 | + | 0.0519220i | ||||
\(861\) | −4.61915 | + | 2.43220i | −0.157420 | + | 0.0828893i | ||||
\(862\) | −10.2423 | − | 7.44147i | −0.348854 | − | 0.253457i | ||||
\(863\) | −5.40168 | − | 16.6247i | −0.183875 | − | 0.565910i | 0.816052 | − | 0.577979i | \(-0.196158\pi\) |
−0.999927 | + | 0.0120688i | \(0.996158\pi\) | |||||||
\(864\) | 0.844667 | + | 2.59962i | 0.0287361 | + | 0.0884408i | ||||
\(865\) | 2.70222 | − | 3.71929i | 0.0918783 | − | 0.126460i | ||||
\(866\) | 1.52811 | − | 1.11024i | 0.0519274 | − | 0.0377274i | ||||
\(867\) | 3.25788 | + | 1.05855i | 0.110643 | + | 0.0359502i | ||||
\(868\) | −11.0482 | − | 1.59818i | −0.375000 | − | 0.0542458i | ||||
\(869\) | −10.9222 | + | 14.0374i | −0.370510 | + | 0.476186i | ||||
\(870\) | 0.960421 | 0.0325613 | ||||||||
\(871\) | −3.48451 | + | 10.7242i | −0.118068 | + | 0.363376i | ||||
\(872\) | −38.2957 | + | 27.8234i | −1.29685 | + | 0.942220i | ||||
\(873\) | −6.32752 | + | 8.70909i | −0.214154 | + | 0.294758i | ||||
\(874\) | 28.6054 | − | 9.29444i | 0.967591 | − | 0.314389i | ||||
\(875\) | 4.58500 | + | 26.6304i | 0.155001 | + | 0.900272i | ||||
\(876\) | 2.85170 | − | 3.92502i | 0.0963499 | − | 0.132614i | ||||
\(877\) | −24.4767 | − | 33.6893i | −0.826520 | − | 1.13761i | −0.988561 | − | 0.150823i | \(-0.951808\pi\) |
0.162041 | − | 0.986784i | \(-0.448192\pi\) | |||||||
\(878\) | 23.2195 | + | 7.54448i | 0.783621 | + | 0.254614i | ||||
\(879\) | 12.6625i | 0.427096i | ||||||||
\(880\) | 36.1971 | − | 10.4575i | 1.22020 | − | 0.352524i | ||||
\(881\) | 10.2536i | 0.345452i | 0.984970 | + | 0.172726i | \(0.0552575\pi\) | ||||
−0.984970 | + | 0.172726i | \(0.944743\pi\) | |||||||
\(882\) | −9.11397 | − | 6.25499i | −0.306883 | − | 0.210617i | ||||
\(883\) | 30.2675 | − | 21.9906i | 1.01858 | − | 0.740044i | 0.0525915 | − | 0.998616i | \(-0.483252\pi\) |
0.965992 | + | 0.258572i | \(0.0832519\pi\) | |||||||
\(884\) | −7.87758 | − | 5.72340i | −0.264952 | − | 0.192499i | ||||
\(885\) | 17.1092 | − | 5.55912i | 0.575120 | − | 0.186868i | ||||
\(886\) | 13.9983 | − | 4.54832i | 0.470281 | − | 0.152804i | ||||
\(887\) | 38.8634 | + | 28.2359i | 1.30490 | + | 0.948069i | 0.999991 | − | 0.00431082i | \(-0.00137218\pi\) |
0.304914 | + | 0.952380i | \(0.401372\pi\) | |||||||
\(888\) | 15.4065 | − | 11.1935i | 0.517008 | − | 0.375628i | ||||
\(889\) | 18.0156 | − | 36.5626i | 0.604225 | − | 1.22627i | ||||
\(890\) | 18.0147i | 0.603854i | ||||||||
\(891\) | 2.74590 | − | 1.86011i | 0.0919912 | − | 0.0623162i | ||||
\(892\) | − | 12.3421i | − | 0.413243i | ||||||
\(893\) | 64.3256 | + | 20.9006i | 2.15257 | + | 0.699413i | ||||
\(894\) | −2.97725 | − | 4.09783i | −0.0995741 | − | 0.137052i | ||||
\(895\) | 6.83886 | − | 9.41289i | 0.228598 | − | 0.314638i | ||||
\(896\) | −6.11977 | − | 35.5446i | −0.204447 | − | 1.18746i | ||||
\(897\) | 15.6910 | − | 5.09830i | 0.523906 | − | 0.170227i | ||||
\(898\) | −18.1673 | + | 25.0051i | −0.606250 | + | 0.834432i | ||||
\(899\) | −1.75604 | + | 1.27584i | −0.0585672 | + | 0.0425515i | ||||
\(900\) | −0.112157 | + | 0.345185i | −0.00373858 | + | 0.0115062i | ||||
\(901\) | −41.6027 | −1.38599 | ||||||||
\(902\) | 0.340047 | − | 10.3284i | 0.0113223 | − | 0.343897i | ||||
\(903\) | 0.512951 | − | 3.54602i | 0.0170699 | − | 0.118004i | ||||
\(904\) | 4.07797 | + | 1.32501i | 0.135631 | + | 0.0440693i | ||||
\(905\) | −10.5634 | + | 7.67477i | −0.351140 | + | 0.255118i | ||||
\(906\) | −11.8933 | + | 16.3697i | −0.395128 | + | 0.543848i | ||||
\(907\) | −1.41974 | − | 4.36952i | −0.0471418 | − | 0.145088i | 0.924715 | − | 0.380661i | \(-0.124303\pi\) |
−0.971857 | + | 0.235573i | \(0.924303\pi\) | |||||||
\(908\) | 1.15627 | + | 3.55863i | 0.0383722 | + | 0.118097i | ||||
\(909\) | 7.91148 | + | 5.74802i | 0.262407 | + | 0.190650i | ||||
\(910\) | 20.3451 | + | 38.6387i | 0.674434 | + | 1.28086i | ||||
\(911\) | −13.1126 | + | 40.3564i | −0.434439 | + | 1.33707i | 0.459220 | + | 0.888322i | \(0.348129\pi\) |
−0.893660 | + | 0.448745i | \(0.851871\pi\) | |||||||
\(912\) | 23.9005i | 0.791425i | ||||||||
\(913\) | 17.6781 | + | 0.582025i | 0.585058 | + | 0.0192622i | ||||
\(914\) | 35.9518 | 1.18918 | ||||||||
\(915\) | −2.50207 | + | 7.70058i | −0.0827159 | + | 0.254573i | ||||
\(916\) | −1.22967 | − | 1.69249i | −0.0406294 | − | 0.0559215i | ||||
\(917\) | −39.9701 | + | 41.0576i | −1.31993 | + | 1.35584i | ||||
\(918\) | 2.20540 | + | 6.78753i | 0.0727891 | + | 0.224022i | ||||
\(919\) | −31.7859 | + | 10.3279i | −1.04852 | + | 0.340685i | −0.782087 | − | 0.623169i | \(-0.785845\pi\) |
−0.266433 | + | 0.963854i | \(0.585845\pi\) | |||||||
\(920\) | −17.4220 | − | 12.6579i | −0.574388 | − | 0.417317i | ||||
\(921\) | −9.87898 | − | 13.5973i | −0.325524 | − | 0.448045i | ||||
\(922\) | 8.80335 | + | 2.86038i | 0.289923 | + | 0.0942017i | ||||
\(923\) | 36.4767 | 1.20065 | ||||||||
\(924\) | 3.89732 | − | 1.89103i | 0.128213 | − | 0.0622103i | ||||
\(925\) | 5.88601 | 0.193531 | ||||||||
\(926\) | −59.5999 | − | 19.3652i | −1.95857 | − | 0.636379i | ||||
\(927\) | −4.47540 | − | 6.15986i | −0.146991 | − | 0.202316i | ||||
\(928\) | 0.561602 | + | 0.408028i | 0.0184355 | + | 0.0133942i | ||||
\(929\) | 6.88772 | − | 2.23796i | 0.225979 | − | 0.0734249i | −0.193839 | − | 0.981033i | \(-0.562094\pi\) |
0.419818 | + | 0.907608i | \(0.362094\pi\) | |||||||
\(930\) | −9.98814 | − | 30.7403i | −0.327524 | − | 1.00802i | ||||
\(931\) | −21.4890 | − | 27.9667i | −0.704273 | − | 0.916571i | ||||
\(932\) | 0.582372 | + | 0.801567i | 0.0190762 | + | 0.0262562i | ||||
\(933\) | 4.55352 | − | 14.0143i | 0.149075 | − | 0.458807i | ||||
\(934\) | 4.51876 | 0.147858 | ||||||||
\(935\) | 34.4866 | − | 9.96337i | 1.12783 | − | 0.325837i | ||||
\(936\) | 10.3815i | 0.339329i | ||||||||
\(937\) | −14.7206 | + | 45.3054i | −0.480902 | + | 1.48006i | 0.356928 | + | 0.934132i | \(0.383824\pi\) |
−0.837830 | + | 0.545932i | \(0.816176\pi\) | |||||||
\(938\) | 9.55149 | − | 5.02931i | 0.311867 | − | 0.164213i | ||||
\(939\) | 6.86567 | + | 4.98820i | 0.224053 | + | 0.162784i | ||||
\(940\) | 4.90420 | + | 15.0936i | 0.159957 | + | 0.492298i | ||||
\(941\) | −3.07182 | − | 9.45410i | −0.100139 | − | 0.308195i | 0.888420 | − | 0.459031i | \(-0.151803\pi\) |
−0.988559 | + | 0.150836i | \(0.951803\pi\) | |||||||
\(942\) | −18.5075 | + | 25.4734i | −0.603007 | + | 0.829968i | ||||
\(943\) | −6.03441 | + | 4.38425i | −0.196507 | + | 0.142771i | ||||
\(944\) | 33.8895 | + | 11.0114i | 1.10301 | + | 0.358390i | ||||
\(945\) | 0.907115 | − | 6.27086i | 0.0295084 | − | 0.203991i | ||||
\(946\) | 5.59773 | + | 4.35547i | 0.181998 | + | 0.141608i | ||||
\(947\) | −10.9512 | −0.355866 | −0.177933 | − | 0.984043i | \(-0.556941\pi\) | ||||
−0.177933 | + | 0.984043i | \(0.556941\pi\) | |||||||
\(948\) | 0.818080 | − | 2.51779i | 0.0265700 | − | 0.0817740i | ||||
\(949\) | 34.7000 | − | 25.2110i | 1.12641 | − | 0.818385i | ||||
\(950\) | −3.43835 | + | 4.73248i | −0.111555 | + | 0.153542i | ||||
\(951\) | −2.98711 | + | 0.970572i | −0.0968638 | + | 0.0314729i | ||||
\(952\) | −4.82609 | − | 28.0307i | −0.156414 | − | 0.908479i | ||||
\(953\) | −22.4087 | + | 30.8429i | −0.725889 | + | 0.999100i | 0.273419 | + | 0.961895i | \(0.411846\pi\) |
−0.999308 | + | 0.0372052i | \(0.988154\pi\) | |||||||
\(954\) | −8.54422 | − | 11.7601i | −0.276629 | − | 0.380748i | ||||
\(955\) | −19.2689 | − | 6.26083i | −0.623526 | − | 0.202596i | ||||
\(956\) | 10.9692i | 0.354768i | ||||||||
\(957\) | 0.286502 | − | 0.792072i | 0.00926131 | − | 0.0256040i | ||||
\(958\) | 21.4290i | 0.692339i | ||||||||
\(959\) | 6.51579 | + | 3.21055i | 0.210406 | + | 0.103674i | ||||
\(960\) | 10.0183 | − | 7.27872i | 0.323339 | − | 0.234920i | ||||
\(961\) | 34.0187 | + | 24.7161i | 1.09738 | + | 0.797292i | ||||
\(962\) | −52.4745 | + | 17.0500i | −1.69185 | + | 0.549714i | ||||
\(963\) | −0.177082 | + | 0.0575373i | −0.00570638 | + | 0.00185411i | ||||
\(964\) | 5.78988 | + | 4.20660i | 0.186480 | + | 0.135485i | ||||
\(965\) | 6.27427 | − | 4.55853i | 0.201976 | − | 0.146744i | ||||
\(966\) | −14.1676 | − | 6.98084i | −0.455834 | − | 0.224605i | ||||
\(967\) | − | 41.1836i | − | 1.32438i | −0.749338 | − | 0.662188i | \(-0.769628\pi\) | ||
0.749338 | − | 0.662188i | \(-0.230372\pi\) | |||||||
\(968\) | 1.72108 | − | 26.1091i | 0.0553175 | − | 0.839179i | ||||
\(969\) | 22.7711i | 0.731512i | ||||||||
\(970\) | −38.7182 | − | 12.5803i | −1.24317 | − | 0.403929i | ||||
\(971\) | −27.8846 | − | 38.3799i | −0.894861 | − | 1.23167i | −0.972078 | − | 0.234656i | \(-0.924604\pi\) |
0.0772177 | − | 0.997014i | \(-0.475396\pi\) | |||||||
\(972\) | −0.290168 | + | 0.399382i | −0.00930714 | + | 0.0128102i | ||||
\(973\) | 0.163007 | − | 0.0280652i | 0.00522576 | − | 0.000899728i | ||||
\(974\) | −41.6277 | + | 13.5257i | −1.33384 | + | 0.433390i | ||||
\(975\) | −1.88605 | + | 2.59592i | −0.0604018 | + | 0.0831359i | ||||
\(976\) | −12.9751 | + | 9.42694i | −0.415322 | + | 0.301749i | ||||
\(977\) | −14.2428 | + | 43.8347i | −0.455666 | + | 1.40240i | 0.414685 | + | 0.909965i | \(0.363892\pi\) |
−0.870351 | + | 0.492432i | \(0.836108\pi\) | |||||||
\(978\) | −24.5054 | −0.783595 | ||||||||
\(979\) | 14.8570 | + | 5.37395i | 0.474831 | + | 0.171752i | ||||
\(980\) | 2.34517 | − | 7.93643i | 0.0749138 | − | 0.253520i | ||||
\(981\) | −18.9259 | − | 6.14941i | −0.604258 | − | 0.196335i | ||||
\(982\) | 29.4391 | − | 21.3887i | 0.939439 | − | 0.682542i | ||||
\(983\) | 15.6553 | − | 21.5477i | 0.499327 | − | 0.687265i | −0.482747 | − | 0.875760i | \(-0.660361\pi\) |
0.982074 | + | 0.188495i | \(0.0603610\pi\) | |||||||
\(984\) | −1.45036 | − | 4.46374i | −0.0462357 | − | 0.142299i | ||||
\(985\) | 17.3874 | + | 53.5129i | 0.554009 | + | 1.70506i | ||||
\(986\) | 1.46633 | + | 1.06535i | 0.0466974 | + | 0.0339276i | ||||
\(987\) | −16.5474 | − | 31.4261i | −0.526708 | − | 1.00031i | ||||
\(988\) | 3.35450 | − | 10.3241i | 0.106721 | − | 0.328453i | ||||
\(989\) | − | 5.11934i | − | 0.162786i | ||||||
\(990\) | 9.89915 | + | 7.70231i | 0.314616 | + | 0.244795i | ||||
\(991\) | 28.7689 | 0.913873 | 0.456937 | − | 0.889499i | \(-0.348947\pi\) | ||||
0.456937 | + | 0.889499i | \(0.348947\pi\) | |||||||
\(992\) | 7.21928 | − | 22.2187i | 0.229212 | − | 0.705443i | ||||
\(993\) | −7.92820 | − | 10.9122i | −0.251594 | − | 0.346289i | ||||
\(994\) | −25.0208 | − | 24.3581i | −0.793613 | − | 0.772592i | ||||
\(995\) | 6.23346 | + | 19.1846i | 0.197614 | + | 0.608193i | ||||
\(996\) | −2.50386 | + | 0.813554i | −0.0793379 | + | 0.0257784i | ||||
\(997\) | −35.2553 | − | 25.6145i | −1.11655 | − | 0.811218i | −0.132864 | − | 0.991134i | \(-0.542417\pi\) |
−0.983682 | + | 0.179916i | \(0.942417\pi\) | |||||||
\(998\) | −0.360782 | − | 0.496574i | −0.0114204 | − | 0.0157188i | ||||
\(999\) | 7.61398 | + | 2.47393i | 0.240896 | + | 0.0782717i |
(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 | 231.2.w.a.13.5 | ✓ | 64 | |
3.2 | odd | 2 | 693.2.bu.f.244.11 | 64 | |||
7.6 | odd | 2 | inner | 231.2.w.a.13.6 | yes | 64 | |
11.6 | odd | 10 | inner | 231.2.w.a.160.6 | yes | 64 | |
21.20 | even | 2 | 693.2.bu.f.244.12 | 64 | |||
33.17 | even | 10 | 693.2.bu.f.622.12 | 64 | |||
77.6 | even | 10 | inner | 231.2.w.a.160.5 | yes | 64 | |
231.83 | odd | 10 | 693.2.bu.f.622.11 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.w.a.13.5 | ✓ | 64 | 1.1 | even | 1 | trivial | |
231.2.w.a.13.6 | yes | 64 | 7.6 | odd | 2 | inner | |
231.2.w.a.160.5 | yes | 64 | 77.6 | even | 10 | inner | |
231.2.w.a.160.6 | yes | 64 | 11.6 | odd | 10 | inner | |
693.2.bu.f.244.11 | 64 | 3.2 | odd | 2 | |||
693.2.bu.f.244.12 | 64 | 21.20 | even | 2 | |||
693.2.bu.f.622.11 | 64 | 231.83 | odd | 10 | |||
693.2.bu.f.622.12 | 64 | 33.17 | even | 10 |