Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(25,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 11x^{14} + 85x^{12} - 334x^{10} + 952x^{8} - 1050x^{6} + 853x^{4} - 93x^{2} + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 25.8 | ||
Root | \(-1.97871 - 1.14241i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 91.25 |
Dual form | 91.2.r.a.51.8 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.97871 | − | 1.14241i | 1.39916 | − | 0.807803i | 0.404852 | − | 0.914382i | \(-0.367323\pi\) |
0.994304 | + | 0.106579i | \(0.0339896\pi\) | |||||||
\(3\) | −1.57521 | + | 2.72835i | −0.909448 | + | 1.57521i | −0.0946163 | + | 0.995514i | \(0.530162\pi\) |
−0.814832 | + | 0.579697i | \(0.803171\pi\) | |||||||
\(4\) | 1.61019 | − | 2.78892i | 0.805093 | − | 1.39446i | ||||
\(5\) | 1.84030 | − | 1.06250i | 0.823005 | − | 0.475162i | −0.0284464 | − | 0.999595i | \(-0.509056\pi\) |
0.851452 | + | 0.524433i | \(0.175723\pi\) | |||||||
\(6\) | 7.19813i | 2.93862i | ||||||||
\(7\) | −2.62488 | − | 0.331665i | −0.992112 | − | 0.125358i | ||||
\(8\) | − | 2.78832i | − | 0.985820i | ||||||
\(9\) | −3.46258 | − | 5.99736i | −1.15419 | − | 1.99912i | ||||
\(10\) | 2.42760 | − | 4.20473i | 0.767676 | − | 1.32965i | ||||
\(11\) | 0.267139 | + | 0.154233i | 0.0805454 | + | 0.0465029i | 0.539732 | − | 0.841837i | \(-0.318526\pi\) |
−0.459186 | + | 0.888340i | \(0.651859\pi\) | |||||||
\(12\) | 5.07276 | + | 8.78629i | 1.46438 | + | 2.53638i | ||||
\(13\) | −3.22037 | − | 1.62148i | −0.893170 | − | 0.449718i | ||||
\(14\) | −5.57276 | + | 2.34241i | −1.48938 | + | 0.626036i | ||||
\(15\) | 6.69462i | 1.72854i | ||||||||
\(16\) | 0.0349749 | + | 0.0605784i | 0.00874373 | + | 0.0151446i | ||||
\(17\) | −0.887368 | + | 1.53697i | −0.215218 | + | 0.372769i | −0.953340 | − | 0.301898i | \(-0.902380\pi\) |
0.738122 | + | 0.674667i | \(0.235713\pi\) | |||||||
\(18\) | −13.7029 | − | 7.91135i | −3.22979 | − | 1.86472i | ||||
\(19\) | 1.54266 | − | 0.890653i | 0.353909 | − | 0.204330i | −0.312496 | − | 0.949919i | \(-0.601165\pi\) |
0.666406 | + | 0.745589i | \(0.267832\pi\) | |||||||
\(20\) | − | 6.84326i | − | 1.53020i | ||||||
\(21\) | 5.03964 | − | 6.63914i | 1.09974 | − | 1.44878i | ||||
\(22\) | 0.704786 | 0.150261 | ||||||||
\(23\) | 0.575211 | + | 0.996294i | 0.119940 | + | 0.207742i | 0.919744 | − | 0.392520i | \(-0.128397\pi\) |
−0.799804 | + | 0.600261i | \(0.795063\pi\) | |||||||
\(24\) | 7.60750 | + | 4.39219i | 1.55288 | + | 0.896553i | ||||
\(25\) | −0.242207 | + | 0.419515i | −0.0484414 | + | 0.0839029i | ||||
\(26\) | −8.22456 | + | 0.470536i | −1.61297 | + | 0.0922796i | ||||
\(27\) | 12.3659 | 2.37982 | ||||||||
\(28\) | −5.15153 | + | 6.78655i | −0.973548 | + | 1.28254i | ||||
\(29\) | 2.01052 | 0.373345 | 0.186672 | − | 0.982422i | \(-0.440230\pi\) | ||||
0.186672 | + | 0.982422i | \(0.440230\pi\) | |||||||
\(30\) | 7.64798 | + | 13.2467i | 1.39632 | + | 2.41850i | ||||
\(31\) | 3.98791 | + | 2.30242i | 0.716251 | + | 0.413527i | 0.813371 | − | 0.581745i | \(-0.197630\pi\) |
−0.0971205 | + | 0.995273i | \(0.530963\pi\) | |||||||
\(32\) | 4.96792 | + | 2.86823i | 0.878213 | + | 0.507037i | ||||
\(33\) | −0.841600 | + | 0.485898i | −0.146504 | + | 0.0845840i | ||||
\(34\) | 4.05494i | 0.695416i | ||||||||
\(35\) | −5.18295 | + | 2.17856i | −0.876078 | + | 0.368244i | ||||
\(36\) | −22.3016 | −3.71693 | ||||||||
\(37\) | 4.79901 | − | 2.77071i | 0.788953 | − | 0.455502i | −0.0506410 | − | 0.998717i | \(-0.516126\pi\) |
0.839594 | + | 0.543215i | \(0.182793\pi\) | |||||||
\(38\) | 2.03497 | − | 3.52468i | 0.330117 | − | 0.571779i | ||||
\(39\) | 9.49673 | − | 6.23211i | 1.52069 | − | 0.997936i | ||||
\(40\) | −2.96258 | − | 5.13134i | −0.468425 | − | 0.811336i | ||||
\(41\) | − | 6.72984i | − | 1.05102i | −0.850786 | − | 0.525512i | \(-0.823874\pi\) | ||
0.850786 | − | 0.525512i | \(-0.176126\pi\) | |||||||
\(42\) | 2.38737 | − | 18.8942i | 0.368379 | − | 2.91544i | ||||
\(43\) | −1.52611 | −0.232729 | −0.116365 | − | 0.993207i | \(-0.537124\pi\) | ||||
−0.116365 | + | 0.993207i | \(0.537124\pi\) | |||||||
\(44\) | 0.860286 | − | 0.496686i | 0.129693 | − | 0.0748783i | ||||
\(45\) | −12.7443 | − | 7.35795i | −1.89981 | − | 1.09686i | ||||
\(46\) | 2.27635 | + | 1.31425i | 0.335629 | + | 0.193776i | ||||
\(47\) | −8.24297 | + | 4.75908i | −1.20236 | + | 0.694183i | −0.961079 | − | 0.276272i | \(-0.910901\pi\) |
−0.241281 | + | 0.970455i | \(0.577568\pi\) | |||||||
\(48\) | −0.220372 | −0.0318079 | ||||||||
\(49\) | 6.78000 | + | 1.74116i | 0.968571 | + | 0.248738i | ||||
\(50\) | 1.10680i | 0.156524i | ||||||||
\(51\) | −2.79558 | − | 4.84209i | −0.391460 | − | 0.678028i | ||||
\(52\) | −9.70759 | + | 6.37048i | −1.34620 | + | 0.883427i | ||||
\(53\) | −3.72037 | + | 6.44387i | −0.511032 | + | 0.885134i | 0.488886 | + | 0.872348i | \(0.337403\pi\) |
−0.999918 | + | 0.0127862i | \(0.995930\pi\) | |||||||
\(54\) | 24.4685 | − | 14.1269i | 3.32974 | − | 1.92243i | ||||
\(55\) | 0.655486 | 0.0883857 | ||||||||
\(56\) | −0.924789 | + | 7.31901i | −0.123580 | + | 0.978044i | ||||
\(57\) | 5.61186i | 0.743309i | ||||||||
\(58\) | 3.97823 | − | 2.29683i | 0.522368 | − | 0.301589i | ||||
\(59\) | −7.03304 | − | 4.06053i | −0.915624 | − | 0.528636i | −0.0333877 | − | 0.999442i | \(-0.510630\pi\) |
−0.882236 | + | 0.470807i | \(0.843963\pi\) | |||||||
\(60\) | 18.6708 | + | 10.7796i | 2.41039 | + | 1.39164i | ||||
\(61\) | 1.72037 | + | 2.97977i | 0.220271 | + | 0.381521i | 0.954890 | − | 0.296959i | \(-0.0959725\pi\) |
−0.734619 | + | 0.678480i | \(0.762639\pi\) | |||||||
\(62\) | 10.5212 | 1.33620 | ||||||||
\(63\) | 7.09974 | + | 16.8908i | 0.894483 | + | 2.12804i | ||||
\(64\) | 12.9669 | 1.62086 | ||||||||
\(65\) | −7.64926 | + | 0.437622i | −0.948773 | + | 0.0542803i | ||||
\(66\) | −1.11019 | + | 1.92290i | −0.136654 | + | 0.236692i | ||||
\(67\) | −10.9249 | − | 6.30747i | −1.33468 | − | 0.770580i | −0.348671 | − | 0.937245i | \(-0.613367\pi\) |
−0.986014 | + | 0.166665i | \(0.946700\pi\) | |||||||
\(68\) | 2.85765 | + | 4.94960i | 0.346541 | + | 0.600227i | ||||
\(69\) | −3.62431 | −0.436316 | ||||||||
\(70\) | −7.76673 | + | 10.2318i | −0.928302 | + | 1.22293i | ||||
\(71\) | − | 1.35070i | − | 0.160299i | −0.996783 | − | 0.0801494i | \(-0.974460\pi\) | ||
0.996783 | − | 0.0801494i | \(-0.0255397\pi\) | |||||||
\(72\) | −16.7226 | + | 9.65478i | −1.97077 | + | 1.13783i | ||||
\(73\) | 10.2894 | + | 5.94059i | 1.20428 | + | 0.695293i | 0.961505 | − | 0.274789i | \(-0.0886079\pi\) |
0.242778 | + | 0.970082i | \(0.421941\pi\) | |||||||
\(74\) | 6.33056 | − | 10.9648i | 0.735912 | − | 1.27464i | ||||
\(75\) | −0.763054 | − | 1.32165i | −0.0881099 | − | 0.152611i | ||||
\(76\) | − | 5.73646i | − | 0.658018i | ||||||
\(77\) | −0.650054 | − | 0.493443i | −0.0740805 | − | 0.0562330i | ||||
\(78\) | 11.6716 | − | 23.1806i | 1.32155 | − | 2.62469i | ||||
\(79\) | 3.96258 | + | 6.86339i | 0.445825 | + | 0.772191i | 0.998109 | − | 0.0614644i | \(-0.0195771\pi\) |
−0.552284 | + | 0.833656i | \(0.686244\pi\) | |||||||
\(80\) | 0.128728 | + | 0.0743214i | 0.0143923 | + | 0.00830939i | ||||
\(81\) | −9.09116 | + | 15.7464i | −1.01013 | + | 1.74960i | ||||
\(82\) | −7.68821 | − | 13.3164i | −0.849021 | − | 1.47055i | ||||
\(83\) | − | 11.2290i | − | 1.23255i | −0.787533 | − | 0.616273i | \(-0.788642\pi\) | ||
0.787533 | − | 0.616273i | \(-0.211358\pi\) | |||||||
\(84\) | −10.4013 | − | 24.7454i | −1.13487 | − | 2.69995i | ||||
\(85\) | 3.77130i | 0.409055i | ||||||||
\(86\) | −3.01972 | + | 1.74344i | −0.325625 | + | 0.188000i | ||||
\(87\) | −3.16700 | + | 5.48540i | −0.339538 | + | 0.588096i | ||||
\(88\) | 0.430050 | − | 0.744869i | 0.0458435 | − | 0.0794033i | ||||
\(89\) | 1.43688 | − | 0.829583i | 0.152309 | − | 0.0879357i | −0.421909 | − | 0.906638i | \(-0.638640\pi\) |
0.574218 | + | 0.818703i | \(0.305306\pi\) | |||||||
\(90\) | −33.6231 | −3.54418 | ||||||||
\(91\) | 7.91530 | + | 5.32428i | 0.829749 | + | 0.558137i | ||||
\(92\) | 3.70479 | 0.386251 | ||||||||
\(93\) | −12.5636 | + | 7.25360i | −1.30279 | + | 0.752164i | ||||
\(94\) | −10.8736 | + | 18.8336i | −1.12153 | + | 1.94254i | ||||
\(95\) | 1.89263 | − | 3.27813i | 0.194180 | − | 0.336329i | ||||
\(96\) | −15.6511 | + | 9.03614i | −1.59738 | + | 0.922247i | ||||
\(97\) | − | 7.66641i | − | 0.778406i | −0.921152 | − | 0.389203i | \(-0.872750\pi\) | ||
0.921152 | − | 0.389203i | \(-0.127250\pi\) | |||||||
\(98\) | 15.4047 | − | 4.30026i | 1.55611 | − | 0.434392i | ||||
\(99\) | − | 2.13617i | − | 0.214693i | ||||||
\(100\) | 0.779996 | + | 1.35099i | 0.0779996 | + | 0.135099i | ||||
\(101\) | 4.55864 | − | 7.89579i | 0.453601 | − | 0.785660i | −0.545005 | − | 0.838433i | \(-0.683472\pi\) |
0.998607 | + | 0.0527721i | \(0.0168057\pi\) | |||||||
\(102\) | −11.0633 | − | 6.38738i | −1.09543 | − | 0.632445i | ||||
\(103\) | 3.02085 | + | 5.23226i | 0.297653 | + | 0.515550i | 0.975599 | − | 0.219562i | \(-0.0704629\pi\) |
−0.677946 | + | 0.735112i | \(0.737130\pi\) | |||||||
\(104\) | −4.52122 | + | 8.97943i | −0.443342 | + | 0.880506i | ||||
\(105\) | 2.22037 | − | 17.5726i | 0.216686 | − | 1.71491i | ||||
\(106\) | 17.0007i | 1.65125i | ||||||||
\(107\) | −6.04305 | − | 10.4669i | −0.584204 | − | 1.01187i | −0.994974 | − | 0.100132i | \(-0.968074\pi\) |
0.410770 | − | 0.911739i | \(-0.365260\pi\) | |||||||
\(108\) | 19.9114 | − | 34.4876i | 1.91598 | − | 3.31857i | ||||
\(109\) | −1.17942 | − | 0.680941i | −0.112968 | − | 0.0652223i | 0.442451 | − | 0.896793i | \(-0.354109\pi\) |
−0.555420 | + | 0.831570i | \(0.687442\pi\) | |||||||
\(110\) | 1.29701 | − | 0.748831i | 0.123665 | − | 0.0713983i | ||||
\(111\) | 17.4578i | 1.65702i | ||||||||
\(112\) | −0.0717133 | − | 0.170611i | −0.00677627 | − | 0.0161212i | ||||
\(113\) | −9.42009 | −0.886168 | −0.443084 | − | 0.896480i | \(-0.646116\pi\) | ||||
−0.443084 | + | 0.896480i | \(0.646116\pi\) | |||||||
\(114\) | 6.41103 | + | 11.1042i | 0.600448 | + | 1.04001i | ||||
\(115\) | 2.11712 | + | 1.22232i | 0.197422 | + | 0.113982i | ||||
\(116\) | 3.23731 | − | 5.60719i | 0.300577 | − | 0.520615i | ||||
\(117\) | 1.42617 | + | 24.9282i | 0.131849 | + | 2.30462i | ||||
\(118\) | −18.5551 | −1.70814 | ||||||||
\(119\) | 2.83899 | − | 3.74004i | 0.260250 | − | 0.342849i | ||||
\(120\) | 18.6667 | 1.70403 | ||||||||
\(121\) | −5.45242 | − | 9.44388i | −0.495675 | − | 0.858534i | ||||
\(122\) | 6.80822 | + | 3.93073i | 0.616387 | + | 0.355871i | ||||
\(123\) | 18.3613 | + | 10.6009i | 1.65558 | + | 0.955852i | ||||
\(124\) | 12.8426 | − | 7.41466i | 1.15330 | − | 0.665856i | ||||
\(125\) | 11.6543i | 1.04239i | ||||||||
\(126\) | 33.3444 | + | 25.3111i | 2.97056 | + | 2.25489i | ||||
\(127\) | 13.3998 | 1.18904 | 0.594519 | − | 0.804081i | \(-0.297342\pi\) | ||||
0.594519 | + | 0.804081i | \(0.297342\pi\) | |||||||
\(128\) | 15.7217 | − | 9.07695i | 1.38962 | − | 0.802297i | ||||
\(129\) | 2.40394 | − | 4.16375i | 0.211655 | − | 0.366598i | ||||
\(130\) | −14.6357 | + | 9.60448i | −1.28363 | + | 0.842369i | ||||
\(131\) | −6.69854 | − | 11.6022i | −0.585254 | − | 1.01369i | −0.994844 | − | 0.101420i | \(-0.967662\pi\) |
0.409590 | − | 0.912270i | \(-0.365672\pi\) | |||||||
\(132\) | 3.12954i | 0.272392i | ||||||||
\(133\) | −4.34469 | + | 1.82621i | −0.376732 | + | 0.158353i | ||||
\(134\) | −28.8228 | −2.48991 | ||||||||
\(135\) | 22.7569 | − | 13.1387i | 1.95860 | − | 1.13080i | ||||
\(136\) | 4.28555 | + | 2.47427i | 0.367483 | + | 0.212167i | ||||
\(137\) | 0.433917 | + | 0.250522i | 0.0370720 | + | 0.0214036i | 0.518421 | − | 0.855125i | \(-0.326520\pi\) |
−0.481349 | + | 0.876529i | \(0.659853\pi\) | |||||||
\(138\) | −7.17145 | + | 4.14044i | −0.610475 | + | 0.352458i | ||||
\(139\) | 1.41936 | 0.120388 | 0.0601941 | − | 0.998187i | \(-0.480828\pi\) | ||||
0.0601941 | + | 0.998187i | \(0.480828\pi\) | |||||||
\(140\) | −2.26967 | + | 17.9627i | −0.191822 | + | 1.51813i | ||||
\(141\) | − | 29.9862i | − | 2.52529i | ||||||
\(142\) | −1.54305 | − | 2.67264i | −0.129490 | − | 0.224283i | ||||
\(143\) | −0.610200 | − | 0.929847i | −0.0510275 | − | 0.0777577i | ||||
\(144\) | 0.242207 | − | 0.419515i | 0.0201839 | − | 0.0349596i | ||||
\(145\) | 3.69996 | − | 2.13617i | 0.307265 | − | 0.177399i | ||||
\(146\) | 27.1463 | 2.24664 | ||||||||
\(147\) | −15.4304 | + | 15.7555i | −1.27268 | + | 1.29949i | ||||
\(148\) | − | 17.8454i | − | 1.46689i | ||||||
\(149\) | −18.2652 | + | 10.5454i | −1.49635 | + | 0.863916i | −0.999991 | − | 0.00420426i | \(-0.998662\pi\) |
−0.496355 | + | 0.868120i | \(0.665328\pi\) | |||||||
\(150\) | −3.01972 | − | 1.74344i | −0.246559 | − | 0.142351i | ||||
\(151\) | −15.1591 | − | 8.75211i | −1.23363 | − | 0.712236i | −0.265845 | − | 0.964016i | \(-0.585651\pi\) |
−0.967785 | + | 0.251779i | \(0.918984\pi\) | |||||||
\(152\) | −2.48343 | − | 4.30142i | −0.201432 | − | 0.348891i | ||||
\(153\) | 12.2903 | 0.993614 | ||||||||
\(154\) | −1.84998 | − | 0.233753i | −0.149075 | − | 0.0188363i | ||||
\(155\) | 9.78526 | 0.785971 | ||||||||
\(156\) | −2.08937 | − | 36.5205i | −0.167284 | − | 2.92398i | ||||
\(157\) | −0.0377894 | + | 0.0654532i | −0.00301593 | + | 0.00522374i | −0.867529 | − | 0.497386i | \(-0.834293\pi\) |
0.864514 | + | 0.502610i | \(0.167627\pi\) | |||||||
\(158\) | 15.6816 | + | 9.05375i | 1.24756 | + | 0.720278i | ||||
\(159\) | −11.7207 | − | 20.3009i | −0.929515 | − | 1.60997i | ||||
\(160\) | 12.1899 | 0.963699 | ||||||||
\(161\) | −1.17942 | − | 2.80593i | −0.0929516 | − | 0.221138i | ||||
\(162\) | 41.5432i | 3.26394i | ||||||||
\(163\) | 8.73102 | − | 5.04086i | 0.683866 | − | 0.394830i | −0.117444 | − | 0.993080i | \(-0.537470\pi\) |
0.801310 | + | 0.598249i | \(0.204137\pi\) | |||||||
\(164\) | −18.7690 | − | 10.8363i | −1.46561 | − | 0.846172i | ||||
\(165\) | −1.03253 | + | 1.78839i | −0.0803822 | + | 0.139226i | ||||
\(166\) | −12.8281 | − | 22.2189i | −0.995655 | − | 1.72452i | ||||
\(167\) | 5.84989i | 0.452678i | 0.974049 | + | 0.226339i | \(0.0726757\pi\) | ||||
−0.974049 | + | 0.226339i | \(0.927324\pi\) | |||||||
\(168\) | −18.5120 | − | 14.0521i | −1.42824 | − | 1.08415i | ||||
\(169\) | 7.74159 | + | 10.4436i | 0.595507 | + | 0.803350i | ||||
\(170\) | 4.30835 | + | 7.46229i | 0.330436 | + | 0.572331i | ||||
\(171\) | −10.6831 | − | 6.16791i | −0.816960 | − | 0.471672i | ||||
\(172\) | −2.45732 | + | 4.25620i | −0.187369 | + | 0.324532i | ||||
\(173\) | 8.49511 | + | 14.7140i | 0.645871 | + | 1.11868i | 0.984100 | + | 0.177617i | \(0.0568390\pi\) |
−0.338229 | + | 0.941064i | \(0.609828\pi\) | |||||||
\(174\) | 14.4720i | 1.09712i | ||||||||
\(175\) | 0.774903 | − | 1.02084i | 0.0585771 | − | 0.0771686i | ||||
\(176\) | 0.0215771i | 0.00162644i | ||||||||
\(177\) | 22.1570 | − | 12.7924i | 1.66543 | − | 0.961534i | ||||
\(178\) | 1.89544 | − | 3.28300i | 0.142069 | − | 0.246072i | ||||
\(179\) | −7.65079 | + | 13.2516i | −0.571847 | + | 0.990468i | 0.424529 | + | 0.905414i | \(0.360440\pi\) |
−0.996376 | + | 0.0850537i | \(0.972894\pi\) | |||||||
\(180\) | −41.0415 | + | 23.6953i | −3.05905 | + | 1.76615i | ||||
\(181\) | −5.84958 | −0.434796 | −0.217398 | − | 0.976083i | \(-0.569757\pi\) | ||||
−0.217398 | + | 0.976083i | \(0.569757\pi\) | |||||||
\(182\) | 21.7446 | + | 1.49270i | 1.61181 | + | 0.110646i | ||||
\(183\) | −10.8398 | −0.801301 | ||||||||
\(184\) | 2.77799 | − | 1.60387i | 0.204796 | − | 0.118239i | ||||
\(185\) | 5.88774 | − | 10.1979i | 0.432875 | − | 0.749761i | ||||
\(186\) | −16.5731 | + | 28.7055i | −1.21520 | + | 2.10479i | ||||
\(187\) | −0.474101 | + | 0.273722i | −0.0346697 | + | 0.0200165i | ||||
\(188\) | 30.6520i | 2.23553i | ||||||||
\(189\) | −32.4590 | − | 4.10134i | −2.36105 | − | 0.298329i | ||||
\(190\) | − | 8.64861i | − | 0.627436i | ||||||
\(191\) | 13.4090 | + | 23.2250i | 0.970238 | + | 1.68050i | 0.694831 | + | 0.719173i | \(0.255479\pi\) |
0.275407 | + | 0.961328i | \(0.411188\pi\) | |||||||
\(192\) | −20.4255 | + | 35.3780i | −1.47409 | + | 2.55319i | ||||
\(193\) | −0.185315 | − | 0.106992i | −0.0133393 | − | 0.00770145i | 0.493316 | − | 0.869850i | \(-0.335785\pi\) |
−0.506655 | + | 0.862149i | \(0.669118\pi\) | |||||||
\(194\) | −8.75816 | − | 15.1696i | −0.628799 | − | 1.08911i | ||||
\(195\) | 10.8552 | − | 21.5592i | 0.777358 | − | 1.54388i | ||||
\(196\) | 15.7730 | − | 16.1053i | 1.12664 | − | 1.15038i | ||||
\(197\) | 11.2290i | 0.800035i | 0.916508 | + | 0.400017i | \(0.130996\pi\) | ||||
−0.916508 | + | 0.400017i | \(0.869004\pi\) | |||||||
\(198\) | −2.44038 | − | 4.22685i | −0.173430 | − | 0.300389i | ||||
\(199\) | 10.2100 | − | 17.6843i | 0.723771 | − | 1.25361i | −0.235707 | − | 0.971824i | \(-0.575741\pi\) |
0.959478 | − | 0.281784i | \(-0.0909261\pi\) | |||||||
\(200\) | 1.16974 | + | 0.675351i | 0.0827132 | + | 0.0477545i | ||||
\(201\) | 34.4179 | − | 19.8712i | 2.42765 | − | 1.40161i | ||||
\(202\) | − | 20.8313i | − | 1.46568i | ||||||
\(203\) | −5.27738 | − | 0.666820i | −0.370399 | − | 0.0468016i | ||||
\(204\) | −18.0056 | −1.26065 | ||||||||
\(205\) | −7.15042 | − | 12.3849i | −0.499407 | − | 0.864999i | ||||
\(206\) | 11.9547 | + | 6.90207i | 0.832926 | + | 0.480890i | ||||
\(207\) | 3.98343 | − | 6.89950i | 0.276867 | − | 0.479548i | ||||
\(208\) | −0.0144055 | − | 0.251796i | −0.000998842 | − | 0.0174589i | ||||
\(209\) | 0.549471 | 0.0380077 | ||||||||
\(210\) | −15.6816 | − | 37.3075i | −1.08213 | − | 2.57446i | ||||
\(211\) | 8.41738 | 0.579476 | 0.289738 | − | 0.957106i | \(-0.406432\pi\) | ||||
0.289738 | + | 0.957106i | \(0.406432\pi\) | |||||||
\(212\) | 11.9810 | + | 20.7517i | 0.822857 | + | 1.42523i | ||||
\(213\) | 3.68518 | + | 2.12764i | 0.252504 | + | 0.145783i | ||||
\(214\) | −23.9148 | − | 13.8072i | −1.63479 | − | 0.943844i | ||||
\(215\) | −2.80849 | + | 1.62148i | −0.191537 | + | 0.110584i | ||||
\(216\) | − | 34.4801i | − | 2.34607i | ||||||
\(217\) | −9.70417 | − | 7.36624i | −0.658762 | − | 0.500053i | ||||
\(218\) | −3.11164 | −0.210747 | ||||||||
\(219\) | −32.4159 | + | 18.7154i | −2.19047 | + | 1.26467i | ||||
\(220\) | 1.05545 | − | 1.82810i | 0.0711587 | − | 0.123250i | ||||
\(221\) | 5.34982 | − | 3.51075i | 0.359868 | − | 0.236159i | ||||
\(222\) | 19.9439 | + | 34.5439i | 1.33855 | + | 2.31843i | ||||
\(223\) | 13.6091i | 0.911333i | 0.890151 | + | 0.455666i | \(0.150599\pi\) | ||||
−0.890151 | + | 0.455666i | \(0.849401\pi\) | |||||||
\(224\) | −12.0889 | − | 9.17646i | −0.807725 | − | 0.613128i | ||||
\(225\) | 3.35464 | 0.223643 | ||||||||
\(226\) | −18.6396 | + | 10.7616i | −1.23989 | + | 0.715849i | ||||
\(227\) | 3.12008 | + | 1.80138i | 0.207087 | + | 0.119562i | 0.599957 | − | 0.800032i | \(-0.295184\pi\) |
−0.392870 | + | 0.919594i | \(0.628518\pi\) | |||||||
\(228\) | 15.6511 | + | 9.03614i | 1.03652 | + | 0.598433i | ||||
\(229\) | 15.9212 | − | 9.19208i | 1.05210 | − | 0.607430i | 0.128863 | − | 0.991662i | \(-0.458867\pi\) |
0.923236 | + | 0.384232i | \(0.125534\pi\) | |||||||
\(230\) | 5.58554 | 0.368299 | ||||||||
\(231\) | 2.37025 | − | 0.996294i | 0.155951 | − | 0.0655514i | ||||
\(232\) | − | 5.60598i | − | 0.368051i | ||||||
\(233\) | 10.1348 | + | 17.5541i | 0.663955 | + | 1.15000i | 0.979567 | + | 0.201116i | \(0.0644568\pi\) |
−0.315612 | + | 0.948888i | \(0.602210\pi\) | |||||||
\(234\) | 31.3002 | + | 47.6964i | 2.04616 | + | 3.11801i | ||||
\(235\) | −10.1130 | + | 17.5162i | −0.659699 | + | 1.14263i | ||||
\(236\) | −22.6490 | + | 13.0764i | −1.47432 | + | 0.851202i | ||||
\(237\) | −24.9676 | −1.62182 | ||||||||
\(238\) | 1.34488 | − | 10.6437i | 0.0871758 | − | 0.689931i | ||||
\(239\) | − | 20.8097i | − | 1.34607i | −0.739612 | − | 0.673033i | \(-0.764991\pi\) | ||
0.739612 | − | 0.673033i | \(-0.235009\pi\) | |||||||
\(240\) | −0.405549 | + | 0.234144i | −0.0261781 | + | 0.0151139i | ||||
\(241\) | 11.0113 | + | 6.35736i | 0.709299 | + | 0.409514i | 0.810801 | − | 0.585322i | \(-0.199032\pi\) |
−0.101503 | + | 0.994835i | \(0.532365\pi\) | |||||||
\(242\) | −21.5775 | − | 12.4578i | −1.38705 | − | 0.800816i | ||||
\(243\) | −10.0922 | − | 17.4801i | −0.647412 | − | 1.12135i | ||||
\(244\) | 11.0805 | 0.709355 | ||||||||
\(245\) | 14.3272 | − | 3.99946i | 0.915330 | − | 0.255516i | ||||
\(246\) | 48.4422 | 3.08856 | ||||||||
\(247\) | −6.41210 | + | 0.366843i | −0.407992 | + | 0.0233417i | ||||
\(248\) | 6.41990 | − | 11.1196i | 0.407664 | − | 0.706094i | ||||
\(249\) | 30.6367 | + | 17.6881i | 1.94152 | + | 1.12094i | ||||
\(250\) | 13.3140 | + | 23.0605i | 0.842050 | + | 1.45847i | ||||
\(251\) | −13.7436 | −0.867486 | −0.433743 | − | 0.901037i | \(-0.642807\pi\) | ||||
−0.433743 | + | 0.901037i | \(0.642807\pi\) | |||||||
\(252\) | 58.5390 | + | 7.39666i | 3.68761 | + | 0.465946i | ||||
\(253\) | 0.354865i | 0.0223102i | ||||||||
\(254\) | 26.5142 | − | 15.3080i | 1.66365 | − | 0.960510i | ||||
\(255\) | −10.2894 | − | 5.94059i | −0.644347 | − | 0.372014i | ||||
\(256\) | 7.77229 | − | 13.4620i | 0.485768 | − | 0.841375i | ||||
\(257\) | −3.66736 | − | 6.35206i | −0.228764 | − | 0.396231i | 0.728678 | − | 0.684856i | \(-0.240135\pi\) |
−0.957442 | + | 0.288626i | \(0.906802\pi\) | |||||||
\(258\) | − | 10.9851i | − | 0.683904i | ||||||
\(259\) | −13.5158 | + | 5.68112i | −0.839830 | + | 0.353008i | ||||
\(260\) | −11.0962 | + | 22.0378i | −0.688159 | + | 1.36673i | ||||
\(261\) | −6.96159 | − | 12.0578i | −0.430912 | − | 0.746361i | ||||
\(262\) | −26.5089 | − | 15.3049i | −1.63772 | − | 0.945540i | ||||
\(263\) | 3.33942 | − | 5.78405i | 0.205918 | − | 0.356660i | −0.744507 | − | 0.667615i | \(-0.767315\pi\) |
0.950425 | + | 0.310955i | \(0.100649\pi\) | |||||||
\(264\) | 1.35484 | + | 2.34665i | 0.0833846 | + | 0.144426i | ||||
\(265\) | 15.8115i | 0.971293i | ||||||||
\(266\) | −6.51058 | + | 8.57693i | −0.399189 | + | 0.525886i | ||||
\(267\) | 5.22708i | 0.319892i | ||||||||
\(268\) | −35.1821 | + | 20.3124i | −2.14909 | + | 1.24078i | ||||
\(269\) | −8.11263 | + | 14.0515i | −0.494636 | + | 0.856735i | −0.999981 | − | 0.00618287i | \(-0.998032\pi\) |
0.505345 | + | 0.862917i | \(0.331365\pi\) | |||||||
\(270\) | 30.0195 | − | 51.9953i | 1.82693 | − | 3.16433i | ||||
\(271\) | −16.2277 | + | 9.36904i | −0.985760 | + | 0.569129i | −0.904004 | − | 0.427524i | \(-0.859386\pi\) |
−0.0817555 | + | 0.996652i | \(0.526053\pi\) | |||||||
\(272\) | −0.124143 | −0.00752725 | ||||||||
\(273\) | −26.9948 | + | 13.2088i | −1.63380 | + | 0.799433i | ||||
\(274\) | 1.14479 | 0.0691595 | ||||||||
\(275\) | −0.129406 | + | 0.0747124i | −0.00780346 | + | 0.00450533i | ||||
\(276\) | −5.83582 | + | 10.1079i | −0.351275 | + | 0.608426i | ||||
\(277\) | 15.0163 | − | 26.0090i | 0.902243 | − | 1.56273i | 0.0776679 | − | 0.996979i | \(-0.475253\pi\) |
0.824575 | − | 0.565752i | \(-0.191414\pi\) | |||||||
\(278\) | 2.80849 | − | 1.62148i | 0.168442 | − | 0.0972501i | ||||
\(279\) | − | 31.8893i | − | 1.90916i | ||||||
\(280\) | 6.07453 | + | 14.4517i | 0.363023 | + | 0.863656i | ||||
\(281\) | 2.23065i | 0.133070i | 0.997784 | + | 0.0665348i | \(0.0211943\pi\) | ||||
−0.997784 | + | 0.0665348i | \(0.978806\pi\) | |||||||
\(282\) | −34.2565 | − | 59.3339i | −2.03994 | − | 3.53328i | ||||
\(283\) | 6.88774 | − | 11.9299i | 0.409433 | − | 0.709159i | −0.585393 | − | 0.810750i | \(-0.699060\pi\) |
0.994826 | + | 0.101590i | \(0.0323931\pi\) | |||||||
\(284\) | −3.76700 | − | 2.17488i | −0.223531 | − | 0.129055i | ||||
\(285\) | 5.96258 | + | 10.3275i | 0.353193 | + | 0.611748i | ||||
\(286\) | −2.26967 | − | 1.14280i | −0.134208 | − | 0.0675750i | ||||
\(287\) | −2.23205 | + | 17.6650i | −0.131754 | + | 1.04273i | ||||
\(288\) | − | 39.7259i | − | 2.34087i | ||||||
\(289\) | 6.92516 | + | 11.9947i | 0.407362 | + | 0.705572i | ||||
\(290\) | 4.88075 | − | 8.45371i | 0.286608 | − | 0.496419i | ||||
\(291\) | 20.9166 | + | 12.0762i | 1.22615 | + | 0.707920i | ||||
\(292\) | 33.1357 | − | 19.1309i | 1.93912 | − | 1.11955i | ||||
\(293\) | − | 1.01231i | − | 0.0591400i | −0.999563 | − | 0.0295700i | \(-0.990586\pi\) | ||
0.999563 | − | 0.0295700i | \(-0.00941380\pi\) | |||||||
\(294\) | −12.5331 | + | 48.8033i | −0.730946 | + | 2.84626i | ||||
\(295\) | −17.2572 | −1.00475 | ||||||||
\(296\) | −7.72563 | − | 13.3812i | −0.449043 | − | 0.777766i | ||||
\(297\) | 3.30341 | + | 1.90723i | 0.191683 | + | 0.110668i | ||||
\(298\) | −24.0943 | + | 41.7326i | −1.39575 | + | 2.41751i | ||||
\(299\) | −0.236918 | − | 4.14113i | −0.0137013 | − | 0.239488i | ||||
\(300\) | −4.91464 | −0.283747 | ||||||||
\(301\) | 4.00585 | + | 0.506157i | 0.230893 | + | 0.0291744i | ||||
\(302\) | −39.9939 | −2.30139 | ||||||||
\(303\) | 14.3616 | + | 24.8751i | 0.825054 | + | 1.42904i | ||||
\(304\) | 0.107909 | + | 0.0623010i | 0.00618898 | + | 0.00357321i | ||||
\(305\) | 6.33199 | + | 3.65577i | 0.362568 | + | 0.209329i | ||||
\(306\) | 24.3189 | − | 14.0405i | 1.39022 | − | 0.802645i | ||||
\(307\) | 24.0527i | 1.37276i | 0.727244 | + | 0.686379i | \(0.240801\pi\) | ||||
−0.727244 | + | 0.686379i | \(0.759199\pi\) | |||||||
\(308\) | −2.42288 | + | 1.01842i | −0.138057 | + | 0.0580296i | ||||
\(309\) | −19.0339 | −1.08280 | ||||||||
\(310\) | 19.3622 | − | 11.1787i | 1.09970 | − | 0.634910i | ||||
\(311\) | −4.49548 | + | 7.78639i | −0.254915 | + | 0.441526i | −0.964872 | − | 0.262719i | \(-0.915381\pi\) |
0.709957 | + | 0.704245i | \(0.248714\pi\) | |||||||
\(312\) | −17.3771 | − | 26.4799i | −0.983786 | − | 1.49913i | ||||
\(313\) | 7.61806 | + | 13.1949i | 0.430598 | + | 0.745818i | 0.996925 | − | 0.0783626i | \(-0.0249692\pi\) |
−0.566326 | + | 0.824181i | \(0.691636\pi\) | |||||||
\(314\) | 0.172684i | 0.00974510i | ||||||||
\(315\) | 31.0120 | + | 23.5406i | 1.74733 | + | 1.32636i | ||||
\(316\) | 25.5220 | 1.43572 | ||||||||
\(317\) | −5.91972 | + | 3.41775i | −0.332484 | + | 0.191960i | −0.656944 | − | 0.753940i | \(-0.728151\pi\) |
0.324459 | + | 0.945900i | \(0.394818\pi\) | |||||||
\(318\) | −46.3838 | − | 26.7797i | −2.60107 | − | 1.50173i | ||||
\(319\) | 0.537088 | + | 0.310088i | 0.0300712 | + | 0.0173616i | ||||
\(320\) | 23.8628 | − | 13.7772i | 1.33397 | − | 0.770170i | ||||
\(321\) | 38.0763 | 2.12521 | ||||||||
\(322\) | −5.53925 | − | 4.20473i | −0.308690 | − | 0.234321i | ||||
\(323\) | 3.16135i | 0.175902i | ||||||||
\(324\) | 29.2769 | + | 50.7091i | 1.62650 | + | 2.81717i | ||||
\(325\) | 1.46023 | − | 0.958259i | 0.0809991 | − | 0.0531546i | ||||
\(326\) | 11.5174 | − | 19.9487i | 0.637890 | − | 1.10486i | ||||
\(327\) | 3.71568 | − | 2.14525i | 0.205478 | − | 0.118633i | ||||
\(328\) | −18.7649 | −1.03612 | ||||||||
\(329\) | 23.2152 | − | 9.75811i | 1.27990 | − | 0.537982i | ||||
\(330\) | 4.71827i | 0.259732i | ||||||||
\(331\) | −11.9637 | + | 6.90727i | −0.657587 | + | 0.379658i | −0.791357 | − | 0.611354i | \(-0.790625\pi\) |
0.133770 | + | 0.991012i | \(0.457292\pi\) | |||||||
\(332\) | −31.3169 | − | 18.0808i | −1.71874 | − | 0.992314i | ||||
\(333\) | −33.2339 | − | 19.1876i | −1.82121 | − | 1.05147i | ||||
\(334\) | 6.68295 | + | 11.5752i | 0.365675 | + | 0.633367i | ||||
\(335\) | −26.8066 | −1.46460 | ||||||||
\(336\) | 0.578449 | + | 0.0730896i | 0.0315570 | + | 0.00398736i | ||||
\(337\) | −27.0432 | −1.47314 | −0.736568 | − | 0.676364i | \(-0.763555\pi\) | ||||
−0.736568 | + | 0.676364i | \(0.763555\pi\) | |||||||
\(338\) | 27.2491 | + | 11.8207i | 1.48216 | + | 0.642961i | ||||
\(339\) | 14.8386 | − | 25.7013i | 0.805924 | − | 1.39590i | ||||
\(340\) | 10.5179 | + | 6.07249i | 0.570411 | + | 0.329327i | ||||
\(341\) | 0.710218 | + | 1.23013i | 0.0384604 | + | 0.0666154i | ||||
\(342\) | −28.1850 | −1.52407 | ||||||||
\(343\) | −17.2192 | − | 6.81903i | −0.929749 | − | 0.368193i | ||||
\(344\) | 4.25528i | 0.229429i | ||||||||
\(345\) | −6.66981 | + | 3.85082i | −0.359091 | + | 0.207321i | ||||
\(346\) | 33.6186 | + | 19.4097i | 1.80735 | + | 1.04347i | ||||
\(347\) | 9.65568 | − | 16.7241i | 0.518344 | − | 0.897799i | −0.481429 | − | 0.876485i | \(-0.659882\pi\) |
0.999773 | − | 0.0213132i | \(-0.00678472\pi\) | |||||||
\(348\) | 10.1989 | + | 17.6650i | 0.546719 | + | 0.946944i | ||||
\(349\) | − | 14.1573i | − | 0.757821i | −0.925433 | − | 0.378911i | \(-0.876299\pi\) | ||
0.925433 | − | 0.378911i | \(-0.123701\pi\) | |||||||
\(350\) | 0.367085 | − | 2.90521i | 0.0196215 | − | 0.155290i | ||||
\(351\) | −39.8228 | − | 20.0511i | −2.12558 | − | 1.07025i | ||||
\(352\) | 0.884750 | + | 1.53243i | 0.0471573 | + | 0.0816789i | ||||
\(353\) | −14.6919 | − | 8.48235i | −0.781969 | − | 0.451470i | 0.0551585 | − | 0.998478i | \(-0.482434\pi\) |
−0.837128 | + | 0.547008i | \(0.815767\pi\) | |||||||
\(354\) | 29.2282 | − | 50.6247i | 1.55346 | − | 2.69067i | ||||
\(355\) | −1.43511 | − | 2.48569i | −0.0761680 | − | 0.131927i | ||||
\(356\) | − | 5.34313i | − | 0.283186i | ||||||
\(357\) | 5.73212 | + | 13.6371i | 0.303376 | + | 0.721752i | ||||
\(358\) | 34.9613i | 1.84776i | ||||||||
\(359\) | 19.7136 | − | 11.3816i | 1.04044 | − | 0.600700i | 0.120484 | − | 0.992715i | \(-0.461555\pi\) |
0.919959 | + | 0.392016i | \(0.128222\pi\) | |||||||
\(360\) | −20.5163 | + | 35.5353i | −1.08131 | + | 1.87288i | ||||
\(361\) | −7.91348 | + | 13.7065i | −0.416499 | + | 0.721397i | ||||
\(362\) | −11.5746 | + | 6.68260i | −0.608347 | + | 0.351229i | ||||
\(363\) | 34.3549 | 1.80316 | ||||||||
\(364\) | 27.5941 | − | 13.5021i | 1.44633 | − | 0.707702i | ||||
\(365\) | 25.2474 | 1.32151 | ||||||||
\(366\) | −21.4488 | + | 12.3835i | −1.12114 | + | 0.647293i | ||||
\(367\) | −8.29168 | + | 14.3616i | −0.432822 | + | 0.749670i | −0.997115 | − | 0.0759048i | \(-0.975815\pi\) |
0.564293 | + | 0.825575i | \(0.309149\pi\) | |||||||
\(368\) | −0.0402359 | + | 0.0696907i | −0.00209744 | + | 0.00363288i | ||||
\(369\) | −40.3613 | + | 23.3026i | −2.10112 | + | 1.21308i | ||||
\(370\) | − | 26.9048i | − | 1.39871i | ||||||
\(371\) | 11.9027 | − | 15.6805i | 0.617959 | − | 0.814090i | ||||
\(372\) | 46.7186i | 2.42225i | ||||||||
\(373\) | −13.8230 | − | 23.9422i | −0.715730 | − | 1.23968i | −0.962677 | − | 0.270652i | \(-0.912761\pi\) |
0.246947 | − | 0.969029i | \(-0.420573\pi\) | |||||||
\(374\) | −0.625404 | + | 1.08323i | −0.0323389 | + | 0.0560126i | ||||
\(375\) | −31.7970 | − | 18.3580i | −1.64199 | − | 0.948004i | ||||
\(376\) | 13.2698 | + | 22.9840i | 0.684340 | + | 1.18531i | ||||
\(377\) | −6.47463 | − | 3.26003i | −0.333460 | − | 0.167900i | ||||
\(378\) | −68.9122 | + | 28.9660i | −3.54446 | + | 1.48985i | ||||
\(379\) | − | 9.24228i | − | 0.474744i | −0.971419 | − | 0.237372i | \(-0.923714\pi\) | ||
0.971419 | − | 0.237372i | \(-0.0762860\pi\) | |||||||
\(380\) | −6.09497 | − | 10.5568i | −0.312665 | − | 0.541552i | ||||
\(381\) | −21.1075 | + | 36.5592i | −1.08137 | + | 1.87299i | ||||
\(382\) | 53.0648 | + | 30.6369i | 2.71503 | + | 1.56752i | ||||
\(383\) | 6.62358 | − | 3.82413i | 0.338449 | − | 0.195404i | −0.321137 | − | 0.947033i | \(-0.604065\pi\) |
0.659586 | + | 0.751629i | \(0.270732\pi\) | |||||||
\(384\) | 57.1925i | 2.91859i | ||||||||
\(385\) | −1.72057 | − | 0.217402i | −0.0876885 | − | 0.0110798i | ||||
\(386\) | −0.488913 | −0.0248850 | ||||||||
\(387\) | 5.28427 | + | 9.15262i | 0.268614 | + | 0.465254i | ||||
\(388\) | −21.3810 | − | 12.3443i | −1.08546 | − | 0.626689i | ||||
\(389\) | 3.26868 | − | 5.66153i | 0.165729 | − | 0.287051i | −0.771185 | − | 0.636611i | \(-0.780336\pi\) |
0.936914 | + | 0.349560i | \(0.113669\pi\) | |||||||
\(390\) | −3.15006 | − | 55.0603i | −0.159509 | − | 2.78809i | ||||
\(391\) | −2.04169 | −0.103253 | ||||||||
\(392\) | 4.85492 | − | 18.9048i | 0.245211 | − | 0.954837i | ||||
\(393\) | 42.2064 | 2.12903 | ||||||||
\(394\) | 12.8281 | + | 22.2189i | 0.646271 | + | 1.11937i | ||||
\(395\) | 14.5846 | + | 8.42044i | 0.733833 | + | 0.423678i | ||||
\(396\) | −5.95762 | − | 3.43963i | −0.299381 | − | 0.172848i | ||||
\(397\) | −25.0548 | + | 14.4654i | −1.25746 | + | 0.725996i | −0.972581 | − | 0.232566i | \(-0.925288\pi\) |
−0.284882 | + | 0.958563i | \(0.591954\pi\) | |||||||
\(398\) | − | 46.6561i | − | 2.33866i | ||||||
\(399\) | 1.86126 | − | 14.7305i | 0.0931795 | − | 0.737446i | ||||
\(400\) | −0.0338847 | −0.00169423 | ||||||||
\(401\) | −23.1603 | + | 13.3716i | −1.15657 | + | 0.667747i | −0.950480 | − | 0.310786i | \(-0.899408\pi\) |
−0.206092 | + | 0.978533i | \(0.566075\pi\) | |||||||
\(402\) | 45.4020 | − | 78.6385i | 2.26444 | − | 3.92213i | ||||
\(403\) | −9.10923 | − | 13.8810i | −0.453763 | − | 0.691462i | ||||
\(404\) | −14.6805 | − | 25.4274i | −0.730382 | − | 1.26506i | ||||
\(405\) | 38.6373i | 1.91990i | ||||||||
\(406\) | −11.2042 | + | 4.70947i | −0.556053 | + | 0.233727i | ||||
\(407\) | 1.70934 | 0.0847287 | ||||||||
\(408\) | −13.5013 | + | 7.79498i | −0.668414 | + | 0.385909i | ||||
\(409\) | 30.1138 | + | 17.3862i | 1.48903 | + | 0.859694i | 0.999922 | − | 0.0125273i | \(-0.00398768\pi\) |
0.489112 | + | 0.872221i | \(0.337321\pi\) | |||||||
\(410\) | −28.2972 | − | 16.3374i | −1.39750 | − | 0.806846i | ||||
\(411\) | −1.36702 | + | 0.789250i | −0.0674302 | + | 0.0389309i | ||||
\(412\) | 19.4565 | 0.958553 | ||||||||
\(413\) | 17.1142 | + | 12.9910i | 0.842133 | + | 0.639246i | ||||
\(414\) | − | 18.2028i | − | 0.894617i | ||||||
\(415\) | −11.9308 | − | 20.6647i | −0.585659 | − | 1.01439i | ||||
\(416\) | −11.3478 | − | 17.2922i | −0.556370 | − | 0.847819i | ||||
\(417\) | −2.23579 | + | 3.87250i | −0.109487 | + | 0.189637i | ||||
\(418\) | 1.08724 | − | 0.627719i | 0.0531787 | − | 0.0307027i | ||||
\(419\) | −4.19246 | −0.204815 | −0.102407 | − | 0.994743i | \(-0.532655\pi\) | ||||
−0.102407 | + | 0.994743i | \(0.532655\pi\) | |||||||
\(420\) | −45.4333 | − | 34.4876i | −2.21692 | − | 1.68282i | ||||
\(421\) | − | 20.9526i | − | 1.02117i | −0.859828 | − | 0.510584i | \(-0.829429\pi\) | ||
0.859828 | − | 0.510584i | \(-0.170571\pi\) | |||||||
\(422\) | 16.6555 | − | 9.61607i | 0.810778 | − | 0.468103i | ||||
\(423\) | 57.0838 | + | 32.9574i | 2.77551 | + | 1.60244i | ||||
\(424\) | 17.9676 | + | 10.3736i | 0.872583 | + | 0.503786i | ||||
\(425\) | −0.429853 | − | 0.744528i | −0.0208509 | − | 0.0361149i | ||||
\(426\) | 9.72252 | 0.471058 | ||||||||
\(427\) | −3.52748 | − | 8.39213i | −0.170707 | − | 0.406124i | ||||
\(428\) | −38.9217 | −1.88135 | ||||||||
\(429\) | 3.49814 | − | 0.200132i | 0.168892 | − | 0.00966247i | ||||
\(430\) | −3.70479 | + | 6.41688i | −0.178661 | + | 0.309449i | ||||
\(431\) | −14.6309 | − | 8.44713i | −0.704744 | − | 0.406884i | 0.104368 | − | 0.994539i | \(-0.466718\pi\) |
−0.809112 | + | 0.587655i | \(0.800051\pi\) | |||||||
\(432\) | 0.432497 | + | 0.749106i | 0.0208085 | + | 0.0360414i | ||||
\(433\) | 3.42241 | 0.164471 | 0.0822353 | − | 0.996613i | \(-0.473794\pi\) | ||||
0.0822353 | + | 0.996613i | \(0.473794\pi\) | |||||||
\(434\) | −27.6169 | − | 3.48952i | −1.32566 | − | 0.167502i | ||||
\(435\) | 13.4597i | 0.645342i | ||||||||
\(436\) | −3.79818 | + | 2.19288i | −0.181900 | + | 0.105020i | ||||
\(437\) | 1.77470 | + | 1.02463i | 0.0848956 | + | 0.0490145i | ||||
\(438\) | −42.7611 | + | 74.0644i | −2.04320 | + | 3.53893i | ||||
\(439\) | 9.03253 | + | 15.6448i | 0.431099 | + | 0.746685i | 0.996968 | − | 0.0778096i | \(-0.0247926\pi\) |
−0.565869 | + | 0.824495i | \(0.691459\pi\) | |||||||
\(440\) | − | 1.82771i | − | 0.0871324i | ||||||
\(441\) | −13.0339 | − | 46.6910i | −0.620661 | − | 2.22338i | ||||
\(442\) | 6.57501 | − | 13.0584i | 0.312742 | − | 0.621125i | ||||
\(443\) | −3.22173 | − | 5.58020i | −0.153069 | − | 0.265123i | 0.779285 | − | 0.626669i | \(-0.215582\pi\) |
−0.932354 | + | 0.361546i | \(0.882249\pi\) | |||||||
\(444\) | 48.6885 | + | 28.1103i | 2.31065 | + | 1.33406i | ||||
\(445\) | 1.76286 | − | 3.05336i | 0.0835674 | − | 0.144743i | ||||
\(446\) | 15.5471 | + | 26.9284i | 0.736178 | + | 1.27510i | ||||
\(447\) | − | 66.4451i | − | 3.14275i | ||||||
\(448\) | −34.0364 | − | 4.30065i | −1.60807 | − | 0.203187i | ||||
\(449\) | − | 1.75306i | − | 0.0827322i | −0.999144 | − | 0.0413661i | \(-0.986829\pi\) | ||
0.999144 | − | 0.0413661i | \(-0.0131710\pi\) | |||||||
\(450\) | 6.63785 | − | 3.83237i | 0.312911 | − | 0.180659i | ||||
\(451\) | 1.03796 | − | 1.79780i | 0.0488757 | − | 0.0846551i | ||||
\(452\) | −15.1681 | + | 26.2719i | −0.713447 | + | 1.23573i | ||||
\(453\) | 47.7575 | − | 27.5728i | 2.24385 | − | 1.29548i | ||||
\(454\) | 8.23163 | 0.386330 | ||||||||
\(455\) | 20.2235 | + | 1.38829i | 0.948094 | + | 0.0650839i | ||||
\(456\) | 15.6477 | 0.732770 | ||||||||
\(457\) | 28.3277 | − | 16.3550i | 1.32511 | − | 0.765054i | 0.340573 | − | 0.940218i | \(-0.389379\pi\) |
0.984539 | + | 0.175164i | \(0.0560455\pi\) | |||||||
\(458\) | 21.0022 | − | 36.3769i | 0.981368 | − | 1.69978i | ||||
\(459\) | −10.9731 | + | 19.0060i | −0.512180 | + | 0.887123i | ||||
\(460\) | 6.81790 | − | 3.93632i | 0.317886 | − | 0.183532i | ||||
\(461\) | 7.66641i | 0.357060i | 0.983934 | + | 0.178530i | \(0.0571342\pi\) | ||||
−0.983934 | + | 0.178530i | \(0.942866\pi\) | |||||||
\(462\) | 3.55186 | − | 4.67917i | 0.165248 | − | 0.217695i | ||||
\(463\) | 14.4720i | 0.672570i | 0.941760 | + | 0.336285i | \(0.109171\pi\) | ||||
−0.941760 | + | 0.336285i | \(0.890829\pi\) | |||||||
\(464\) | 0.0703179 | + | 0.121794i | 0.00326443 | + | 0.00565415i | ||||
\(465\) | −15.4138 | + | 26.6976i | −0.714800 | + | 1.23807i | ||||
\(466\) | 40.1077 | + | 23.1562i | 1.85795 | + | 1.07269i | ||||
\(467\) | −1.68801 | − | 2.92373i | −0.0781120 | − | 0.135294i | 0.824323 | − | 0.566119i | \(-0.191556\pi\) |
−0.902435 | + | 0.430825i | \(0.858223\pi\) | |||||||
\(468\) | 71.8194 | + | 36.1616i | 3.31985 | + | 1.67157i | ||||
\(469\) | 26.5845 | + | 20.1798i | 1.22756 | + | 0.931815i | ||||
\(470\) | 46.2126i | 2.13163i | ||||||||
\(471\) | −0.119053 | − | 0.206205i | −0.00548566 | − | 0.00950144i | ||||
\(472\) | −11.3221 | + | 19.6104i | −0.521140 | + | 0.902641i | ||||
\(473\) | −0.407683 | − | 0.235376i | −0.0187453 | − | 0.0108226i | ||||
\(474\) | −49.4035 | + | 28.5231i | −2.26918 | + | 1.31011i | ||||
\(475\) | 0.862889i | 0.0395921i | ||||||||
\(476\) | −5.85939 | − | 13.9399i | −0.268565 | − | 0.638934i | ||||
\(477\) | 51.5283 | 2.35932 | ||||||||
\(478\) | −23.7731 | − | 41.1763i | −1.08736 | − | 1.88336i | ||||
\(479\) | 0.125768 | + | 0.0726124i | 0.00574651 | + | 0.00331775i | 0.502871 | − | 0.864362i | \(-0.332277\pi\) |
−0.497124 | + | 0.867680i | \(0.665611\pi\) | |||||||
\(480\) | −19.2017 | + | 33.2584i | −0.876435 | + | 1.51803i | ||||
\(481\) | −19.9473 | + | 1.14120i | −0.909517 | + | 0.0520344i | ||||
\(482\) | 29.0508 | 1.32323 | ||||||||
\(483\) | 9.51339 | + | 1.20206i | 0.432874 | + | 0.0546956i | ||||
\(484\) | −35.1177 | −1.59626 | ||||||||
\(485\) | −8.14553 | − | 14.1085i | −0.369869 | − | 0.640633i | ||||
\(486\) | −39.9388 | − | 23.0587i | −1.81166 | − | 1.04596i | ||||
\(487\) | 14.2214 | + | 8.21073i | 0.644433 | + | 0.372064i | 0.786320 | − | 0.617819i | \(-0.211984\pi\) |
−0.141887 | + | 0.989883i | \(0.545317\pi\) | |||||||
\(488\) | 8.30856 | − | 4.79695i | 0.376111 | − | 0.217148i | ||||
\(489\) | 31.7616i | 1.43631i | ||||||||
\(490\) | 23.7803 | − | 24.2812i | 1.07428 | − | 1.09691i | ||||
\(491\) | −18.2077 | −0.821701 | −0.410850 | − | 0.911703i | \(-0.634768\pi\) | ||||
−0.410850 | + | 0.911703i | \(0.634768\pi\) | |||||||
\(492\) | 59.1303 | − | 34.1389i | 2.66580 | − | 1.53910i | ||||
\(493\) | −1.78407 | + | 3.09010i | −0.0803506 | + | 0.139171i | ||||
\(494\) | −12.2686 | + | 8.05110i | −0.551990 | + | 0.362236i | ||||
\(495\) | −2.26967 | − | 3.93119i | −0.102014 | − | 0.176694i | ||||
\(496\) | 0.322108i | 0.0144631i | ||||||||
\(497\) | −0.447981 | + | 3.54543i | −0.0200947 | + | 0.159034i | ||||
\(498\) | 80.8279 | 3.62199 | ||||||||
\(499\) | 32.5383 | − | 18.7860i | 1.45661 | − | 0.840976i | 0.457770 | − | 0.889070i | \(-0.348648\pi\) |
0.998843 | + | 0.0480945i | \(0.0153148\pi\) | |||||||
\(500\) | 32.5030 | + | 18.7656i | 1.45358 | + | 0.839225i | ||||
\(501\) | −15.9605 | − | 9.21481i | −0.713063 | − | 0.411687i | ||||
\(502\) | −27.1945 | + | 15.7007i | −1.21375 | + | 0.700758i | ||||
\(503\) | −4.20535 | −0.187507 | −0.0937537 | − | 0.995595i | \(-0.529887\pi\) | ||||
−0.0937537 | + | 0.995595i | \(0.529887\pi\) | |||||||
\(504\) | 47.0969 | − | 19.7964i | 2.09786 | − | 0.881800i | ||||
\(505\) | − | 19.3741i | − | 0.862137i | ||||||
\(506\) | 0.405400 | + | 0.702174i | 0.0180222 | + | 0.0312154i | ||||
\(507\) | −40.6883 | + | 4.67092i | −1.80703 | + | 0.207443i | ||||
\(508\) | 21.5761 | − | 37.3710i | 0.957287 | − | 1.65807i | ||||
\(509\) | −7.30705 | + | 4.21873i | −0.323879 | + | 0.186992i | −0.653120 | − | 0.757254i | \(-0.726540\pi\) |
0.329241 | + | 0.944246i | \(0.393207\pi\) | |||||||
\(510\) | −27.1463 | −1.20206 | ||||||||
\(511\) | −25.0382 | − | 19.0060i | −1.10762 | − | 0.840775i | ||||
\(512\) | 0.791350i | 0.0349731i | ||||||||
\(513\) | 19.0763 | − | 11.0137i | 0.842240 | − | 0.486268i | ||||
\(514\) | −14.5133 | − | 8.37924i | −0.640153 | − | 0.369593i | ||||
\(515\) | 11.1185 | + | 6.41927i | 0.489940 | + | 0.282867i | ||||
\(516\) | −7.74159 | − | 13.4088i | −0.340804 | − | 0.590290i | ||||
\(517\) | −2.93602 | −0.129126 | ||||||||
\(518\) | −20.2536 | + | 26.6818i | −0.889893 | + | 1.17233i | ||||
\(519\) | −53.5263 | −2.34955 | ||||||||
\(520\) | 1.22023 | + | 21.3286i | 0.0535106 | + | 0.935320i | ||||
\(521\) | −12.9140 | + | 22.3677i | −0.565773 | + | 0.979948i | 0.431204 | + | 0.902254i | \(0.358089\pi\) |
−0.996977 | + | 0.0776936i | \(0.975244\pi\) | |||||||
\(522\) | −27.5499 | − | 15.9059i | −1.20583 | − | 0.696184i | ||||
\(523\) | 0.378202 | + | 0.655065i | 0.0165376 | + | 0.0286440i | 0.874176 | − | 0.485610i | \(-0.161402\pi\) |
−0.857638 | + | 0.514254i | \(0.828069\pi\) | |||||||
\(524\) | −43.1436 | −1.88473 | ||||||||
\(525\) | 1.56458 | + | 3.72225i | 0.0682839 | + | 0.162452i | ||||
\(526\) | − | 15.2599i | − | 0.665364i | ||||||
\(527\) | −7.07749 | + | 4.08619i | −0.308300 | + | 0.177997i | ||||
\(528\) | −0.0588698 | − | 0.0339885i | −0.00256198 | − | 0.00147916i | ||||
\(529\) | 10.8383 | − | 18.7724i | 0.471229 | − | 0.816192i | ||||
\(530\) | 18.0632 | + | 31.2863i | 0.784614 | + | 1.35899i | ||||
\(531\) | 56.2396i | 2.44059i | ||||||||
\(532\) | −1.90259 | + | 15.0575i | −0.0824876 | + | 0.652827i | ||||
\(533\) | −10.9123 | + | 21.6726i | −0.472665 | + | 0.938744i | ||||
\(534\) | 5.97145 | + | 10.3428i | 0.258410 | + | 0.447579i | ||||
\(535\) | −22.2420 | − | 12.8414i | −0.961606 | − | 0.555183i | ||||
\(536\) | −17.5873 | + | 30.4620i | −0.759654 | + | 1.31576i | ||||
\(537\) | −24.1032 | − | 41.7480i | −1.04013 | − | 1.80156i | ||||
\(538\) | 37.0717i | 1.59827i | ||||||||
\(539\) | 1.54266 | + | 1.51083i | 0.0664469 | + | 0.0650760i | ||||
\(540\) | − | 84.6231i | − | 3.64160i | ||||||
\(541\) | −19.4099 | + | 11.2063i | −0.834496 | + | 0.481797i | −0.855390 | − | 0.517985i | \(-0.826682\pi\) |
0.0208936 | + | 0.999782i | \(0.493349\pi\) | |||||||
\(542\) | −21.4065 | + | 37.0772i | −0.919488 | + | 1.59260i | ||||
\(543\) | 9.21432 | − | 15.9597i | 0.395424 | − | 0.684895i | ||||
\(544\) | −8.81675 | + | 5.09035i | −0.378015 | + | 0.218247i | ||||
\(545\) | −2.89398 | −0.123965 | ||||||||
\(546\) | −38.3249 | + | 56.9753i | −1.64015 | + | 2.43832i | ||||
\(547\) | −11.8059 | −0.504784 | −0.252392 | − | 0.967625i | \(-0.581217\pi\) | ||||
−0.252392 | + | 0.967625i | \(0.581217\pi\) | |||||||
\(548\) | 1.39737 | − | 0.806774i | 0.0596929 | − | 0.0344637i | ||||
\(549\) | 11.9138 | − | 20.6354i | 0.508470 | − | 0.880697i | ||||
\(550\) | −0.170704 | + | 0.295668i | −0.00727884 | + | 0.0126073i | ||||
\(551\) | 3.10154 | − | 1.79068i | 0.132130 | − | 0.0762854i | ||||
\(552\) | 10.1058i | 0.430129i | ||||||||
\(553\) | −8.12495 | − | 19.3298i | −0.345508 | − | 0.821988i | ||||
\(554\) | − | 68.6190i | − | 2.91534i | ||||||
\(555\) | 18.5489 | + | 32.1276i | 0.787355 | + | 1.36374i | ||||
\(556\) | 2.28543 | − | 3.95848i | 0.0969238 | − | 0.167877i | ||||
\(557\) | 7.59273 | + | 4.38366i | 0.321714 | + | 0.185742i | 0.652156 | − | 0.758084i | \(-0.273865\pi\) |
−0.330442 | + | 0.943826i | \(0.607198\pi\) | |||||||
\(558\) | −36.4305 | − | 63.0995i | −1.54223 | − | 2.67122i | ||||
\(559\) | 4.91464 | + | 2.47456i | 0.207867 | + | 0.104663i | ||||
\(560\) | −0.313247 | − | 0.237780i | −0.0132371 | − | 0.0100480i | ||||
\(561\) | − | 1.72468i | − | 0.0728161i | ||||||
\(562\) | 2.54831 | + | 4.41380i | 0.107494 | + | 0.186185i | ||||
\(563\) | 18.3879 | − | 31.8488i | 0.774958 | − | 1.34227i | −0.159860 | − | 0.987140i | \(-0.551104\pi\) |
0.934818 | − | 0.355127i | \(-0.115562\pi\) | |||||||
\(564\) | −83.6293 | − | 48.2834i | −3.52143 | − | 2.03310i | ||||
\(565\) | −17.3358 | + | 10.0088i | −0.729321 | + | 0.421074i | ||||
\(566\) | − | 31.4744i | − | 1.32297i | ||||||
\(567\) | 29.0857 | − | 38.3171i | 1.22149 | − | 1.60917i | ||||
\(568\) | −3.76619 | −0.158026 | ||||||||
\(569\) | −17.8918 | − | 30.9896i | −0.750065 | − | 1.29915i | −0.947791 | − | 0.318893i | \(-0.896689\pi\) |
0.197726 | − | 0.980257i | \(-0.436644\pi\) | |||||||
\(570\) | 23.5964 | + | 13.6234i | 0.988344 | + | 0.570621i | ||||
\(571\) | 7.46920 | − | 12.9370i | 0.312576 | − | 0.541398i | −0.666343 | − | 0.745645i | \(-0.732141\pi\) |
0.978919 | + | 0.204248i | \(0.0654747\pi\) | |||||||
\(572\) | −3.57581 | + | 0.204576i | −0.149512 | + | 0.00855374i | ||||
\(573\) | −84.4877 | −3.52952 | ||||||||
\(574\) | 15.7641 | + | 37.5038i | 0.657979 | + | 1.56538i | ||||
\(575\) | −0.557280 | −0.0232402 | ||||||||
\(576\) | −44.8987 | − | 77.7669i | −1.87078 | − | 3.24029i | ||||
\(577\) | −14.5892 | − | 8.42309i | −0.607357 | − | 0.350658i | 0.164573 | − | 0.986365i | \(-0.447375\pi\) |
−0.771930 | + | 0.635707i | \(0.780709\pi\) | |||||||
\(578\) | 27.4057 | + | 15.8227i | 1.13993 | + | 0.658137i | ||||
\(579\) | 0.583822 | − | 0.337070i | 0.0242628 | − | 0.0140081i | ||||
\(580\) | − | 13.7585i | − | 0.571292i | ||||||
\(581\) | −3.72428 | + | 29.4748i | −0.154509 | + | 1.22282i | ||||
\(582\) | 55.1838 | 2.28744 | ||||||||
\(583\) | −1.98771 | + | 1.14761i | −0.0823226 | + | 0.0475290i | ||||
\(584\) | 16.5643 | − | 28.6901i | 0.685434 | − | 1.18721i | ||||
\(585\) | 29.1107 | + | 44.3601i | 1.20358 | + | 1.83406i | ||||
\(586\) | −1.15647 | − | 2.00307i | −0.0477735 | − | 0.0827461i | ||||
\(587\) | − | 36.8833i | − | 1.52234i | −0.648555 | − | 0.761168i | \(-0.724626\pi\) | ||
0.648555 | − | 0.761168i | \(-0.275374\pi\) | |||||||
\(588\) | 19.0950 | + | 68.4035i | 0.787463 | + | 2.82091i | ||||
\(589\) | 8.20264 | 0.337984 | ||||||||
\(590\) | −34.1469 | + | 19.7147i | −1.40580 | + | 0.811642i | ||||
\(591\) | −30.6367 | − | 17.6881i | −1.26022 | − | 0.727590i | ||||
\(592\) | 0.335690 | + | 0.193811i | 0.0137968 | + | 0.00796558i | ||||
\(593\) | 13.9894 | − | 8.07676i | 0.574474 | − | 0.331673i | −0.184460 | − | 0.982840i | \(-0.559054\pi\) |
0.758934 | + | 0.651167i | \(0.225720\pi\) | |||||||
\(594\) | 8.71531 | 0.357593 | ||||||||
\(595\) | 1.25081 | − | 9.89920i | 0.0512781 | − | 0.405828i | ||||
\(596\) | 67.9204i | 2.78213i | ||||||||
\(597\) | 32.1660 | + | 55.7131i | 1.31646 | + | 2.28018i | ||||
\(598\) | −5.19965 | − | 7.92343i | −0.212629 | − | 0.324013i | ||||
\(599\) | 1.24238 | − | 2.15186i | 0.0507622 | − | 0.0879227i | −0.839528 | − | 0.543317i | \(-0.817168\pi\) |
0.890290 | + | 0.455394i | \(0.150502\pi\) | |||||||
\(600\) | −3.68518 | + | 2.12764i | −0.150447 | + | 0.0868605i | ||||
\(601\) | 9.55999 | 0.389960 | 0.194980 | − | 0.980807i | \(-0.437536\pi\) | ||||
0.194980 | + | 0.980807i | \(0.437536\pi\) | |||||||
\(602\) | 8.50464 | − | 3.57478i | 0.346623 | − | 0.145697i | ||||
\(603\) | 87.3605i | 3.55759i | ||||||||
\(604\) | −48.8179 | + | 28.1850i | −1.98637 | + | 1.14683i | ||||
\(605\) | −20.0682 | − | 11.5864i | −0.815886 | − | 0.471052i | ||||
\(606\) | 56.8349 | + | 32.8136i | 2.30876 | + | 1.33296i | ||||
\(607\) | 9.74294 | + | 16.8753i | 0.395454 | + | 0.684946i | 0.993159 | − | 0.116770i | \(-0.0372540\pi\) |
−0.597705 | + | 0.801716i | \(0.703921\pi\) | |||||||
\(608\) | 10.2184 | 0.414411 | ||||||||
\(609\) | 10.1323 | − | 13.3481i | 0.410582 | − | 0.540894i | ||||
\(610\) | 16.7055 | 0.676387 | ||||||||
\(611\) | 34.2622 | − | 1.96017i | 1.38610 | − | 0.0793002i | ||||
\(612\) | 19.7897 | − | 34.2768i | 0.799951 | − | 1.38556i | ||||
\(613\) | −12.7896 | − | 7.38409i | −0.516568 | − | 0.298241i | 0.218962 | − | 0.975733i | \(-0.429733\pi\) |
−0.735529 | + | 0.677493i | \(0.763066\pi\) | |||||||
\(614\) | 27.4779 | + | 47.5931i | 1.10892 | + | 1.92070i | ||||
\(615\) | 45.0537 | 1.81674 | ||||||||
\(616\) | −1.37588 | + | 1.81256i | −0.0554357 | + | 0.0730301i | ||||
\(617\) | − | 30.9478i | − | 1.24591i | −0.782257 | − | 0.622955i | \(-0.785932\pi\) | ||
0.782257 | − | 0.622955i | \(-0.214068\pi\) | |||||||
\(618\) | −37.6625 | + | 21.7444i | −1.51501 | + | 0.874689i | ||||
\(619\) | −11.3297 | − | 6.54123i | −0.455380 | − | 0.262914i | 0.254719 | − | 0.967015i | \(-0.418017\pi\) |
−0.710100 | + | 0.704101i | \(0.751350\pi\) | |||||||
\(620\) | 15.7561 | − | 27.2903i | 0.632780 | − | 1.09601i | ||||
\(621\) | 7.11300 | + | 12.3201i | 0.285435 | + | 0.494388i | ||||
\(622\) | 20.5426i | 0.823685i | ||||||||
\(623\) | −4.04678 | + | 1.70099i | −0.162131 | + | 0.0681489i | ||||
\(624\) | 0.709679 | + | 0.357329i | 0.0284099 | + | 0.0143046i | ||||
\(625\) | 11.1716 | + | 19.3498i | 0.446865 | + | 0.773994i | ||||
\(626\) | 30.1478 | + | 17.4059i | 1.20495 | + | 0.695678i | ||||
\(627\) | −0.865532 | + | 1.49915i | −0.0345660 | + | 0.0598701i | ||||
\(628\) | 0.121696 | + | 0.210784i | 0.00485620 | + | 0.00841119i | ||||
\(629\) | 9.83456i | 0.392130i | ||||||||
\(630\) | 88.2566 | + | 11.1516i | 3.51623 | + | 0.444291i | ||||
\(631\) | 35.3591i | 1.40762i | 0.710387 | + | 0.703812i | \(0.248520\pi\) | ||||
−0.710387 | + | 0.703812i | \(0.751480\pi\) | |||||||
\(632\) | 19.1373 | − | 11.0489i | 0.761242 | − | 0.439503i | ||||
\(633\) | −13.2591 | + | 22.9655i | −0.527004 | + | 0.912797i | ||||
\(634\) | −7.80892 | + | 13.5254i | −0.310132 | + | 0.537164i | ||||
\(635\) | 24.6596 | − | 14.2372i | 0.978585 | − | 0.564986i | ||||
\(636\) | −75.4903 | −2.99338 | ||||||||
\(637\) | −19.0108 | − | 16.6008i | −0.753237 | − | 0.657749i | ||||
\(638\) | 1.41699 | 0.0560990 | ||||||||
\(639\) | −8.10065 | + | 4.67691i | −0.320457 | + | 0.185016i | ||||
\(640\) | 19.2884 | − | 33.4086i | 0.762443 | − | 1.32059i | ||||
\(641\) | −10.6188 | + | 18.3923i | −0.419417 | + | 0.726452i | −0.995881 | − | 0.0906706i | \(-0.971099\pi\) |
0.576464 | + | 0.817123i | \(0.304432\pi\) | |||||||
\(642\) | 75.3418 | − | 43.4986i | 2.97351 | − | 1.71675i | ||||
\(643\) | 25.4808i | 1.00486i | 0.864617 | + | 0.502432i | \(0.167561\pi\) | ||||
−0.864617 | + | 0.502432i | \(0.832439\pi\) | |||||||
\(644\) | −9.72462 | − | 1.22875i | −0.383204 | − | 0.0484195i | ||||
\(645\) | − | 10.2167i | − | 0.402283i | ||||||
\(646\) | 3.61154 | + | 6.25537i | 0.142094 | + | 0.246114i | ||||
\(647\) | 11.3928 | − | 19.7329i | 0.447897 | − | 0.775781i | −0.550352 | − | 0.834933i | \(-0.685506\pi\) |
0.998249 | + | 0.0591522i | \(0.0188397\pi\) | |||||||
\(648\) | 43.9059 | + | 25.3491i | 1.72479 | + | 0.995806i | ||||
\(649\) | −1.25253 | − | 2.16945i | −0.0491662 | − | 0.0851583i | ||||
\(650\) | 1.79465 | − | 3.56429i | 0.0703919 | − | 0.139803i | ||||
\(651\) | 35.3837 | − | 14.8729i | 1.38680 | − | 0.582916i | ||||
\(652\) | − | 32.4669i | − | 1.27150i | ||||||
\(653\) | −8.13928 | − | 14.0976i | −0.318515 | − | 0.551684i | 0.661664 | − | 0.749801i | \(-0.269851\pi\) |
−0.980178 | + | 0.198117i | \(0.936517\pi\) | |||||||
\(654\) | 4.90150 | − | 8.48964i | 0.191664 | − | 0.331971i | ||||
\(655\) | −24.6546 | − | 14.2343i | −0.963334 | − | 0.556181i | ||||
\(656\) | 0.407683 | − | 0.235376i | 0.0159173 | − | 0.00918988i | ||||
\(657\) | − | 82.2790i | − | 3.21001i | ||||||
\(658\) | 34.7884 | − | 45.8297i | 1.35619 | − | 1.78663i | ||||
\(659\) | 20.5596 | 0.800888 | 0.400444 | − | 0.916321i | \(-0.368856\pi\) | ||||
0.400444 | + | 0.916321i | \(0.368856\pi\) | |||||||
\(660\) | 3.32513 | + | 5.75929i | 0.129430 | + | 0.224180i | ||||
\(661\) | −24.0518 | − | 13.8863i | −0.935507 | − | 0.540115i | −0.0469576 | − | 0.998897i | \(-0.514953\pi\) |
−0.888549 | + | 0.458782i | \(0.848286\pi\) | |||||||
\(662\) | −15.7818 | + | 27.3349i | −0.613378 | + | 1.06240i | ||||
\(663\) | 1.15145 | + | 20.1263i | 0.0447185 | + | 0.781642i | ||||
\(664\) | −31.3101 | −1.21507 | ||||||||
\(665\) | −6.05517 | + | 7.97698i | −0.234809 | + | 0.309334i | ||||
\(666\) | −87.6802 | −3.39754 | ||||||||
\(667\) | 1.15647 | + | 2.00307i | 0.0447789 | + | 0.0775593i | ||||
\(668\) | 16.3149 | + | 9.41941i | 0.631242 | + | 0.364448i | ||||
\(669\) | −37.1303 | − | 21.4372i | −1.43554 | − | 0.828810i | ||||
\(670\) | −53.0425 | + | 30.6241i | −2.04921 | + | 1.18311i | ||||
\(671\) | 1.06135i | 0.0409730i | ||||||||
\(672\) | 44.0791 | − | 18.5279i | 1.70039 | − | 0.714729i | ||||
\(673\) | 5.20337 | 0.200575 | 0.100288 | − | 0.994958i | \(-0.468024\pi\) | ||||
0.100288 | + | 0.994958i | \(0.468024\pi\) | |||||||
\(674\) | −53.5105 | + | 30.8943i | −2.06115 | + | 1.19000i | ||||
\(675\) | −2.99511 | + | 5.18768i | −0.115282 | + | 0.199674i | ||||
\(676\) | 41.5917 | − | 4.77463i | 1.59968 | − | 0.183640i | ||||
\(677\) | −22.4239 | − | 38.8394i | −0.861821 | − | 1.49272i | −0.870169 | − | 0.492753i | \(-0.835991\pi\) |
0.00834820 | − | 0.999965i | \(-0.497343\pi\) | |||||||
\(678\) | − | 67.8070i | − | 2.60411i | ||||||
\(679\) | −2.54268 | + | 20.1234i | −0.0975792 | + | 0.772266i | ||||
\(680\) | 10.5156 | 0.403254 | ||||||||
\(681\) | −9.82957 | + | 5.67510i | −0.376670 | + | 0.217470i | ||||
\(682\) | 2.81062 | + | 1.62271i | 0.107624 | + | 0.0621370i | ||||
\(683\) | 16.4318 | + | 9.48691i | 0.628745 | + | 0.363006i | 0.780266 | − | 0.625448i | \(-0.215084\pi\) |
−0.151521 | + | 0.988454i | \(0.548417\pi\) | |||||||
\(684\) | −34.4037 | + | 19.8630i | −1.31546 | + | 0.759479i | ||||
\(685\) | 1.06471 | 0.0406807 | ||||||||
\(686\) | −41.8618 | + | 6.17846i | −1.59829 | + | 0.235895i | ||||
\(687\) | 57.9179i | 2.20970i | ||||||||
\(688\) | −0.0533755 | − | 0.0924491i | −0.00203492 | − | 0.00352459i | ||||
\(689\) | 22.4296 | − | 14.7191i | 0.854500 | − | 0.560755i | ||||
\(690\) | −8.79840 | + | 15.2393i | −0.334949 | + | 0.580149i | ||||
\(691\) | 32.4085 | − | 18.7111i | 1.23288 | − | 0.711803i | 0.265250 | − | 0.964180i | \(-0.414545\pi\) |
0.967629 | + | 0.252376i | \(0.0812121\pi\) | |||||||
\(692\) | 54.7148 | 2.07994 | ||||||||
\(693\) | −0.708493 | + | 5.60719i | −0.0269134 | + | 0.213000i | ||||
\(694\) | − | 44.1229i | − | 1.67488i | ||||||
\(695\) | 2.61204 | − | 1.50806i | 0.0990802 | − | 0.0572040i | ||||
\(696\) | 15.2951 | + | 8.83060i | 0.579757 | + | 0.334723i | ||||
\(697\) | 10.3435 | + | 5.97184i | 0.391789 | + | 0.226200i | ||||
\(698\) | −16.1734 | − | 28.0131i | −0.612171 | − | 1.06031i | ||||
\(699\) | −63.8580 | −2.41533 | ||||||||
\(700\) | −1.59932 | − | 3.80489i | −0.0604486 | − | 0.143811i | ||||
\(701\) | 42.5513 | 1.60714 | 0.803570 | − | 0.595210i | \(-0.202931\pi\) | ||||
0.803570 | + | 0.595210i | \(0.202931\pi\) | |||||||
\(702\) | −101.704 | + | 5.81860i | −3.83857 | + | 0.219609i | ||||
\(703\) | 4.93548 | − | 8.54851i | 0.186145 | − | 0.322413i | ||||
\(704\) | 3.46395 | + | 1.99991i | 0.130552 | + | 0.0753745i | ||||
\(705\) | −31.8602 | − | 55.1835i | −1.19993 | − | 2.07833i | ||||
\(706\) | −38.7612 | −1.45880 | ||||||||
\(707\) | −14.5846 | + | 19.2136i | −0.548512 | + | 0.722600i | ||||
\(708\) | − | 82.3924i | − | 3.09650i | ||||||
\(709\) | 43.5889 | − | 25.1661i | 1.63702 | − | 0.945131i | 0.655163 | − | 0.755488i | \(-0.272600\pi\) |
0.981853 | − | 0.189644i | \(-0.0607333\pi\) | |||||||
\(710\) | −5.67934 | − | 3.27897i | −0.213142 | − | 0.123057i | ||||
\(711\) | 27.4415 | − | 47.5300i | 1.02914 | − | 1.78252i | ||||
\(712\) | −2.31315 | − | 4.00648i | −0.0866888 | − | 0.150149i | ||||
\(713\) | 5.29752i | 0.198394i | ||||||||
\(714\) | 26.9213 | + | 20.4354i | 1.00750 | + | 0.764776i | ||||
\(715\) | −2.11091 | − | 1.06286i | −0.0789435 | − | 0.0397487i | ||||
\(716\) | 24.6384 | + | 42.6749i | 0.920780 | + | 1.59484i | ||||
\(717\) | 56.7760 | + | 32.7796i | 2.12034 | + | 1.22418i | ||||
\(718\) | 26.0049 | − | 45.0418i | 0.970495 | − | 1.68095i | ||||
\(719\) | 14.4616 | + | 25.0482i | 0.539326 | + | 0.934141i | 0.998940 | + | 0.0460219i | \(0.0146544\pi\) |
−0.459614 | + | 0.888119i | \(0.652012\pi\) | |||||||
\(720\) | − | 1.02938i | − | 0.0383625i | ||||||
\(721\) | −6.19400 | − | 14.7360i | −0.230677 | − | 0.548796i | ||||
\(722\) | 36.1616i | 1.34580i | ||||||||
\(723\) | −34.6902 | + | 20.0284i | −1.29014 | + | 0.744863i | ||||
\(724\) | −9.41891 | + | 16.3140i | −0.350051 | + | 0.606306i | ||||
\(725\) | −0.486962 | + | 0.843444i | −0.0180853 | + | 0.0313247i | ||||
\(726\) | 67.9782 | − | 39.2472i | 2.52291 | − | 1.45660i | ||||
\(727\) | 19.8593 | 0.736539 | 0.368269 | − | 0.929719i | \(-0.379950\pi\) | ||||
0.368269 | + | 0.929719i | \(0.379950\pi\) | |||||||
\(728\) | 14.8458 | − | 22.0704i | 0.550222 | − | 0.817984i | ||||
\(729\) | 9.04209 | 0.334892 | ||||||||
\(730\) | 49.9572 | − | 28.8428i | 1.84900 | − | 1.06752i | ||||
\(731\) | 1.35422 | − | 2.34558i | 0.0500876 | − | 0.0867543i | ||||
\(732\) | −17.4541 | + | 30.2314i | −0.645121 | + | 1.11738i | ||||
\(733\) | 17.6237 | − | 10.1751i | 0.650947 | − | 0.375824i | −0.137872 | − | 0.990450i | \(-0.544026\pi\) |
0.788819 | + | 0.614626i | \(0.210693\pi\) | |||||||
\(734\) | 37.8899i | 1.39854i | ||||||||
\(735\) | −11.6564 | + | 45.3895i | −0.429954 | + | 1.67422i | ||||
\(736\) | 6.59935i | 0.243255i | ||||||||
\(737\) | −1.94564 | − | 3.36994i | −0.0716684 | − | 0.124133i | ||||
\(738\) | −53.2421 | + | 92.2180i | −1.95987 | + | 3.39459i | ||||
\(739\) | 16.4554 | + | 9.50055i | 0.605323 | + | 0.349483i | 0.771133 | − | 0.636674i | \(-0.219690\pi\) |
−0.165810 | + | 0.986158i | \(0.553024\pi\) | |||||||
\(740\) | −18.9607 | − | 32.8409i | −0.697009 | − | 1.20726i | ||||
\(741\) | 9.09954 | − | 18.0723i | 0.334280 | − | 0.663902i | ||||
\(742\) | 5.63854 | − | 44.6248i | 0.206997 | − | 1.63823i | ||||
\(743\) | 8.15098i | 0.299030i | 0.988759 | + | 0.149515i | \(0.0477713\pi\) | ||||
−0.988759 | + | 0.149515i | \(0.952229\pi\) | |||||||
\(744\) | 20.2254 | + | 35.0314i | 0.741498 | + | 1.28431i | ||||
\(745\) | −22.4090 | + | 38.8134i | −0.821000 | + | 1.42201i | ||||
\(746\) | −54.7035 | − | 31.5831i | −2.00284 | − | 1.15634i | ||||
\(747\) | −67.3445 | + | 38.8814i | −2.46401 | + | 1.42260i | ||||
\(748\) | 1.76297i | 0.0644607i | ||||||||
\(749\) | 12.3908 | + | 29.4786i | 0.452750 | + | 1.07712i | ||||
\(750\) | −83.8893 | −3.06320 | ||||||||
\(751\) | 18.3713 | + | 31.8201i | 0.670379 | + | 1.16113i | 0.977797 | + | 0.209556i | \(0.0672020\pi\) |
−0.307417 | + | 0.951575i | \(0.599465\pi\) | |||||||
\(752\) | −0.576595 | − | 0.332897i | −0.0210262 | − | 0.0121395i | ||||
\(753\) | 21.6490 | − | 37.4972i | 0.788934 | − | 1.36647i | ||||
\(754\) | −16.5357 | + | 0.946022i | −0.602193 | + | 0.0344521i | ||||
\(755\) | −37.1963 | −1.35371 | ||||||||
\(756\) | −63.7034 | + | 83.9218i | −2.31687 | + | 3.05221i | ||||
\(757\) | 38.3971 | 1.39557 | 0.697783 | − | 0.716310i | \(-0.254170\pi\) | ||||
0.697783 | + | 0.716310i | \(0.254170\pi\) | |||||||
\(758\) | −10.5584 | − | 18.2878i | −0.383500 | − | 0.664241i | ||||
\(759\) | −0.968195 | − | 0.558987i | −0.0351432 | − | 0.0202900i | ||||
\(760\) | −9.14048 | − | 5.27726i | −0.331560 | − | 0.191426i | ||||
\(761\) | −10.7922 | + | 6.23089i | −0.391218 | + | 0.225870i | −0.682688 | − | 0.730710i | \(-0.739189\pi\) |
0.291470 | + | 0.956580i | \(0.405856\pi\) | |||||||
\(762\) | 96.4533i | 3.49414i | ||||||||
\(763\) | 2.87000 | + | 2.17856i | 0.103901 | + | 0.0788692i | ||||
\(764\) | 86.3636 | 3.12453 | ||||||||
\(765\) | 22.6178 | − | 13.0584i | 0.817749 | − | 0.472128i | ||||
\(766\) | 8.73742 | − | 15.1336i | 0.315696 | − | 0.546801i | ||||
\(767\) | 16.0649 | + | 24.4804i | 0.580071 | + | 0.883935i | ||||
\(768\) | 24.4860 | + | 42.4110i | 0.883562 | + | 1.53037i | ||||
\(769\) | 4.81390i | 0.173594i | 0.996226 | + | 0.0867969i | \(0.0276631\pi\) | ||||
−0.996226 | + | 0.0867969i | \(0.972337\pi\) | |||||||
\(770\) | −3.65287 | + | 1.53542i | −0.131640 | + | 0.0553326i | ||||
\(771\) | 23.1075 | 0.832196 | ||||||||
\(772\) | −0.596785 | + | 0.344554i | −0.0214787 | + | 0.0124008i | ||||
\(773\) | −24.4863 | − | 14.1372i | −0.880713 | − | 0.508480i | −0.00981931 | − | 0.999952i | \(-0.503126\pi\) |
−0.870893 | + | 0.491472i | \(0.836459\pi\) | |||||||
\(774\) | 20.9120 | + | 12.0736i | 0.751668 | + | 0.433975i | ||||
\(775\) | −1.93180 | + | 1.11533i | −0.0693923 | + | 0.0400637i | ||||
\(776\) | −21.3764 | −0.767369 | ||||||||
\(777\) | 5.79015 | − | 45.8247i | 0.207720 | − | 1.64395i | ||||
\(778\) | − | 14.9367i | − | 0.535505i | ||||||
\(779\) | −5.99395 | − | 10.3818i | −0.214755 | − | 0.371967i | ||||
\(780\) | −42.6479 | − | 64.9886i | −1.52704 | − | 2.32696i | ||||
\(781\) | 0.208322 | − | 0.360825i | 0.00745436 | − | 0.0129113i | ||||
\(782\) | −4.03991 | + | 2.33244i | −0.144467 | + | 0.0834081i | ||||
\(783\) | 24.8619 | 0.888492 | ||||||||
\(784\) | 0.131653 | + | 0.471618i | 0.00470190 | + | 0.0168435i | ||||
\(785\) | 0.160604i | 0.00573222i | ||||||||
\(786\) | 83.5141 | − | 48.2169i | 2.97885 | − | 1.71984i | ||||
\(787\) | −43.0053 | − | 24.8291i | −1.53297 | − | 0.885062i | −0.999223 | − | 0.0394193i | \(-0.987449\pi\) |
−0.533749 | − | 0.845643i | \(-0.679217\pi\) | |||||||
\(788\) | 31.3169 | + | 18.0808i | 1.11562 | + | 0.644102i | ||||
\(789\) | 10.5206 | + | 18.2222i | 0.374543 | + | 0.648728i | ||||
\(790\) | 38.4783 | 1.36900 | ||||||||
\(791\) | 24.7266 | + | 3.12432i | 0.879177 | + | 0.111088i | ||||
\(792\) | −5.95633 | −0.211649 | ||||||||
\(793\) | −0.708588 | − | 12.3855i | −0.0251627 | − | 0.439823i | ||||
\(794\) | −33.0507 | + | 57.2455i | −1.17292 | + | 2.03157i | ||||
\(795\) | −43.1393 | − | 24.9065i | −1.52999 | − | 0.883341i | ||||
\(796\) | −32.8801 | − | 56.9501i | −1.16541 | − | 2.01854i | ||||
\(797\) | −5.37263 | −0.190308 | −0.0951542 | − | 0.995463i | \(-0.530334\pi\) | ||||
−0.0951542 | + | 0.995463i | \(0.530334\pi\) | |||||||
\(798\) | −13.1453 | − | 31.2736i | −0.465339 | − | 1.10707i | ||||
\(799\) | − | 16.8922i | − | 0.597604i | ||||||
\(800\) | −2.40653 | + | 1.38941i | −0.0850837 | + | 0.0491231i | ||||
\(801\) | −9.95062 | − | 5.74500i | −0.351588 | − | 0.202989i | ||||
\(802\) | −30.5517 | + | 52.9170i | −1.07882 | + | 1.86857i | ||||
\(803\) | 1.83246 | + | 3.17392i | 0.0646663 | + | 0.112005i | ||||
\(804\) | − | 127.985i | − | 4.51369i | ||||||
\(805\) | −5.15178 | − | 3.91061i | −0.181576 | − | 0.137831i | ||||
\(806\) | −33.8822 | − | 17.0600i | −1.19345 | − | 0.600912i | ||||
\(807\) | −25.5582 | − | 44.2681i | −0.899692 | − | 1.55831i | ||||
\(808\) | −22.0160 | − | 12.7109i | −0.774520 | − | 0.447169i | ||||
\(809\) | −20.6184 | + | 35.7122i | −0.724905 | + | 1.25557i | 0.234107 | + | 0.972211i | \(0.424783\pi\) |
−0.959013 | + | 0.283362i | \(0.908550\pi\) | |||||||
\(810\) | 44.1395 | + | 76.4518i | 1.55090 | + | 2.68624i | ||||
\(811\) | 19.4366i | 0.682512i | 0.939970 | + | 0.341256i | \(0.110852\pi\) | ||||
−0.939970 | + | 0.341256i | \(0.889148\pi\) | |||||||
\(812\) | −10.3573 | + | 13.6445i | −0.363469 | + | 0.478828i | ||||
\(813\) | − | 59.0328i | − | 2.07037i | ||||||
\(814\) | 3.38227 | − | 1.95276i | 0.118549 | − | 0.0684441i | ||||
\(815\) | 10.7118 | − | 18.5533i | 0.375217 | − | 0.649895i | ||||
\(816\) | 0.195551 | − | 0.338704i | 0.00684564 | − | 0.0118570i | ||||
\(817\) | −2.35426 | + | 1.35923i | −0.0823651 | + | 0.0475535i | ||||
\(818\) | 79.4486 | 2.77785 | ||||||||
\(819\) | 4.52431 | − | 65.9067i | 0.158092 | − | 2.30297i | ||||
\(820\) | −46.0540 | −1.60828 | ||||||||
\(821\) | −17.4856 | + | 10.0953i | −0.610251 | + | 0.352329i | −0.773064 | − | 0.634328i | \(-0.781277\pi\) |
0.162813 | + | 0.986657i | \(0.447943\pi\) | |||||||
\(822\) | −1.80329 | + | 3.12339i | −0.0628970 | + | 0.108941i | ||||
\(823\) | −21.4049 | + | 37.0743i | −0.746127 | + | 1.29233i | 0.203539 | + | 0.979067i | \(0.434756\pi\) |
−0.949666 | + | 0.313263i | \(0.898578\pi\) | |||||||
\(824\) | 14.5892 | − | 8.42309i | 0.508240 | − | 0.293432i | ||||
\(825\) | − | 0.470751i | − | 0.0163895i | ||||||
\(826\) | 48.7049 | + | 6.15408i | 1.69466 | + | 0.214128i | ||||
\(827\) | − | 33.5376i | − | 1.16622i | −0.812394 | − | 0.583109i | \(-0.801836\pi\) | ||
0.812394 | − | 0.583109i | \(-0.198164\pi\) | |||||||
\(828\) | −12.8281 | − | 22.2189i | −0.445808 | − | 0.772162i | ||||
\(829\) | −19.8949 | + | 34.4590i | −0.690978 | + | 1.19681i | 0.280540 | + | 0.959842i | \(0.409487\pi\) |
−0.971518 | + | 0.236967i | \(0.923847\pi\) | |||||||
\(830\) | −47.2150 | − | 27.2596i | −1.63886 | − | 0.946195i | ||||
\(831\) | 47.3077 | + | 81.9394i | 1.64109 | + | 2.84245i | ||||
\(832\) | −41.7581 | − | 21.0255i | −1.44770 | − | 0.728929i | ||||
\(833\) | −8.69246 | + | 8.87557i | −0.301176 | + | 0.307520i | ||||
\(834\) | 10.2167i | 0.353776i | ||||||||
\(835\) | 6.21548 | + | 10.7655i | 0.215096 | + | 0.372556i | ||||
\(836\) | 0.884750 | − | 1.53243i | 0.0305997 | − | 0.0530003i | ||||
\(837\) | 49.3142 | + | 28.4715i | 1.70455 | + | 0.984120i | ||||
\(838\) | −8.29564 | + | 4.78949i | −0.286568 | + | 0.165450i | ||||
\(839\) | 36.7098i | 1.26736i | 0.773594 | + | 0.633682i | \(0.218457\pi\) | ||||
−0.773594 | + | 0.633682i | \(0.781543\pi\) | |||||||
\(840\) | −48.9980 | − | 6.19111i | −1.69059 | − | 0.213614i | ||||
\(841\) | −24.9578 | −0.860614 | ||||||||
\(842\) | −23.9364 | − | 41.4591i | −0.824903 | − | 1.42877i | ||||
\(843\) | −6.08599 | − | 3.51375i | −0.209613 | − | 0.121020i | ||||
\(844\) | 13.5535 | − | 23.4754i | 0.466532 | − | 0.808058i | ||||
\(845\) | 25.3430 | + | 10.9938i | 0.871827 | + | 0.378199i | ||||
\(846\) | 150.603 | 5.17783 | ||||||||
\(847\) | 11.1798 | + | 26.5974i | 0.384141 | + | 0.913898i | ||||
\(848\) | −0.520479 | −0.0178733 | ||||||||
\(849\) | 21.6993 | + | 37.5842i | 0.744717 | + | 1.28989i | ||||
\(850\) | −1.70111 | − | 0.982134i | −0.0583475 | − | 0.0336869i | ||||
\(851\) | 5.52089 | + | 3.18749i | 0.189254 | + | 0.109266i | ||||
\(852\) | 11.8676 | − | 6.85179i | 0.406579 | − | 0.234738i | ||||
\(853\) | − | 11.7156i | − | 0.401136i | −0.979680 | − | 0.200568i | \(-0.935721\pi\) | ||
0.979680 | − | 0.200568i | \(-0.0642788\pi\) | |||||||
\(854\) | −16.5671 | − | 12.5757i | −0.566914 | − | 0.430333i | ||||
\(855\) | −26.2135 | −0.896483 | ||||||||
\(856\) | −29.1850 | + | 16.8500i | −0.997523 | + | 0.575920i | ||||
\(857\) | −13.8453 | + | 23.9807i | −0.472945 | + | 0.819164i | −0.999521 | − | 0.0309639i | \(-0.990142\pi\) |
0.526576 | + | 0.850128i | \(0.323476\pi\) | |||||||
\(858\) | 6.69316 | − | 4.39230i | 0.228501 | − | 0.149951i | ||||
\(859\) | 19.2819 | + | 33.3972i | 0.657890 | + | 1.13950i | 0.981161 | + | 0.193192i | \(0.0618840\pi\) |
−0.323271 | + | 0.946306i | \(0.604783\pi\) | |||||||
\(860\) | 10.4436i | 0.356122i | ||||||||
\(861\) | −44.6803 | − | 33.9159i | −1.52270 | − | 1.15585i | ||||
\(862\) | −38.6002 | −1.31473 | ||||||||
\(863\) | −15.4613 | + | 8.92660i | −0.526310 | + | 0.303865i | −0.739512 | − | 0.673143i | \(-0.764944\pi\) |
0.213203 | + | 0.977008i | \(0.431611\pi\) | |||||||
\(864\) | 61.4329 | + | 35.4683i | 2.08999 | + | 1.20666i | ||||
\(865\) | 31.2670 | + | 18.0520i | 1.06311 | + | 0.613787i | ||||
\(866\) | 6.77195 | − | 3.90979i | 0.230120 | − | 0.132860i | ||||
\(867\) | −43.6343 | −1.48190 | ||||||||
\(868\) | −36.1694 | + | 15.2032i | −1.22767 | + | 0.516029i | ||||
\(869\) | 2.44464i | 0.0829286i | ||||||||
\(870\) | 15.3764 | + | 26.6327i | 0.521310 | + | 0.902935i | ||||
\(871\) | 24.9547 | + | 38.0269i | 0.845556 | + | 1.28849i | ||||
\(872\) | −1.89868 | + | 3.28861i | −0.0642975 | + | 0.111366i | ||||
\(873\) | −45.9783 | + | 26.5456i | −1.55613 | + | 0.898431i | ||||
\(874\) | 4.68216 | 0.158376 | ||||||||
\(875\) | 3.86534 | − | 30.5912i | 0.130672 | − | 1.03417i | ||||
\(876\) | 120.541i | 4.07270i | ||||||||
\(877\) | 7.72524 | − | 4.46017i | 0.260863 | − | 0.150609i | −0.363865 | − | 0.931452i | \(-0.618543\pi\) |
0.624728 | + | 0.780842i | \(0.285210\pi\) | |||||||
\(878\) | 35.7454 | + | 20.6376i | 1.20635 | + | 0.696487i | ||||
\(879\) | 2.76194 | + | 1.59461i | 0.0931580 | + | 0.0537848i | ||||
\(880\) | 0.0229256 | + | 0.0397083i | 0.000772821 | + | 0.00133857i | ||||
\(881\) | 54.6144 | 1.84001 | 0.920003 | − | 0.391911i | \(-0.128186\pi\) | ||||
0.920003 | + | 0.391911i | \(0.128186\pi\) | |||||||
\(882\) | −79.1303 | − | 77.4978i | −2.66446 | − | 2.60949i | ||||
\(883\) | −7.51632 | −0.252944 | −0.126472 | − | 0.991970i | \(-0.540365\pi\) | ||||
−0.126472 | + | 0.991970i | \(0.540365\pi\) | |||||||
\(884\) | −1.17701 | − | 20.5732i | −0.0395872 | − | 0.691951i | ||||
\(885\) | 27.1837 | − | 47.0835i | 0.913770 | − | 1.58270i | ||||
\(886\) | −12.7497 | − | 7.36105i | −0.428335 | − | 0.247299i | ||||
\(887\) | −22.5391 | − | 39.0389i | −0.756790 | − | 1.31080i | −0.944479 | − | 0.328571i | \(-0.893433\pi\) |
0.187689 | − | 0.982229i | \(-0.439900\pi\) | |||||||
\(888\) | 48.6780 | 1.63353 | ||||||||
\(889\) | −35.1728 | − | 4.44424i | −1.17966 | − | 0.149055i | ||||
\(890\) | − | 8.05560i | − | 0.270024i | ||||||
\(891\) | −4.85720 | + | 2.80431i | −0.162722 | + | 0.0939479i | ||||
\(892\) | 37.9547 | + | 21.9132i | 1.27082 | + | 0.733708i | ||||
\(893\) | −8.47737 | + | 14.6832i | −0.283684 | + | 0.491356i | ||||
\(894\) | −75.9074 | − | 131.475i | −2.53872 | − | 4.39720i | ||||
\(895\) | 32.5157i | 1.08688i | ||||||||
\(896\) | −44.2782 | + | 18.6116i | −1.47923 | + | 0.621769i | ||||
\(897\) | 11.6716 | + | 5.87676i | 0.389705 | + | 0.196219i | ||||
\(898\) | −2.00271 | − | 3.46880i | −0.0668314 | − | 0.115755i | ||||
\(899\) | 8.01779 | + | 4.62907i | 0.267408 | + | 0.154388i | ||||
\(900\) | 5.40160 | − | 9.35584i | 0.180053 | − | 0.311861i | ||||
\(901\) | −6.60268 | − | 11.4362i | −0.219967 | − | 0.380994i | ||||
\(902\) | − | 4.74309i | − | 0.157928i | ||||||
\(903\) | −7.69103 | + | 10.1320i | −0.255942 | + | 0.337173i | ||||
\(904\) | 26.2662i | 0.873602i | ||||||||
\(905\) | −10.7650 | + | 6.21515i | −0.357839 | + | 0.206599i | ||||
\(906\) | 62.9988 | − | 109.117i | 2.09299 | − | 3.62517i | ||||
\(907\) | 3.18295 | − | 5.51303i | 0.105688 | − | 0.183057i | −0.808331 | − | 0.588728i | \(-0.799629\pi\) |
0.914019 | + | 0.405671i | \(0.132962\pi\) | |||||||
\(908\) | 10.0478 | − | 5.80111i | 0.333449 | − | 0.192517i | ||||
\(909\) | −63.1385 | −2.09417 | ||||||||
\(910\) | 41.6024 | − | 20.3565i | 1.37911 | − | 0.674811i | ||||
\(911\) | 20.9161 | 0.692982 | 0.346491 | − | 0.938053i | \(-0.387373\pi\) | ||||
0.346491 | + | 0.938053i | \(0.387373\pi\) | |||||||
\(912\) | −0.339958 | + | 0.196275i | −0.0112571 | + | 0.00649930i | ||||
\(913\) | 1.73188 | − | 2.99971i | 0.0573169 | − | 0.0992758i | ||||
\(914\) | 37.3681 | − | 64.7234i | 1.23603 | − | 2.14086i | ||||
\(915\) | −19.9484 | + | 11.5172i | −0.659475 | + | 0.380748i | ||||
\(916\) | − | 59.2038i | − | 1.95615i | ||||||
\(917\) | 13.7348 | + | 32.6761i | 0.453563 | + | 1.07906i | ||||
\(918\) | 50.1430i | 1.65496i | ||||||||
\(919\) | −2.44326 | − | 4.23185i | −0.0805957 | − | 0.139596i | 0.822910 | − | 0.568171i | \(-0.192349\pi\) |
−0.903506 | + | 0.428576i | \(0.859016\pi\) | |||||||
\(920\) | 3.40821 | − | 5.90320i | 0.112366 | − | 0.194623i | ||||
\(921\) | −65.6239 | − | 37.8880i | −2.16238 | − | 1.24845i | ||||
\(922\) | 8.75816 | + | 15.1696i | 0.288435 | + | 0.499584i | ||||
\(923\) | −2.19014 | + | 4.34976i | −0.0720893 | + | 0.143174i | ||||
\(924\) | 1.03796 | − | 8.21468i | 0.0341464 | − | 0.270243i | ||||
\(925\) | 2.68434i | 0.0882606i | ||||||||
\(926\) | 16.5329 | + | 28.6358i | 0.543305 | + | 0.941031i | ||||
\(927\) | 20.9198 | − | 36.2342i | 0.687098 | − | 1.19009i | ||||
\(928\) | 9.98812 | + | 5.76664i | 0.327876 | + | 0.189299i | ||||
\(929\) | −44.6306 | + | 25.7675i | −1.46428 | + | 0.845404i | −0.999205 | − | 0.0398663i | \(-0.987307\pi\) |
−0.465077 | + | 0.885270i | \(0.653973\pi\) | |||||||
\(930\) | 70.4355i | 2.30967i | ||||||||
\(931\) | 12.0100 | − | 3.35261i | 0.393611 | − | 0.109877i | ||||
\(932\) | 65.2759 | 2.13818 | ||||||||
\(933\) | −14.1626 | − | 24.5304i | −0.463664 | − | 0.803090i | ||||
\(934\) | −6.68017 | − | 3.85680i | −0.218582 | − | 0.126198i | ||||
\(935\) | −0.581657 | + | 1.00746i | −0.0190222 | + | 0.0329474i | ||||
\(936\) | 69.5080 | − | 3.97662i | 2.27194 | − | 0.129980i | ||||
\(937\) | 20.3565 | 0.665016 | 0.332508 | − | 0.943100i | \(-0.392105\pi\) | ||||
0.332508 | + | 0.943100i | \(0.392105\pi\) | |||||||
\(938\) | 75.6564 | + | 9.55952i | 2.47027 | + | 0.312129i | ||||
\(939\) | −48.0002 | −1.56643 | ||||||||
\(940\) | 32.5676 | + | 56.4088i | 1.06224 | + | 1.83985i | ||||
\(941\) | 29.6730 | + | 17.1317i | 0.967314 | + | 0.558479i | 0.898416 | − | 0.439145i | \(-0.144719\pi\) |
0.0688974 | + | 0.997624i | \(0.478052\pi\) | |||||||
\(942\) | −0.471141 | − | 0.272013i | −0.0153506 | − | 0.00886267i | ||||
\(943\) | 6.70490 | − | 3.87108i | 0.218342 | − | 0.126060i | ||||
\(944\) | − | 0.568067i | − | 0.0184890i | ||||||
\(945\) | −64.0918 | + | 26.9399i | −2.08491 | + | 0.876354i | ||||
\(946\) | −1.07558 | −0.0349701 | ||||||||
\(947\) | 47.9046 | − | 27.6578i | 1.55669 | − | 0.898756i | 0.559122 | − | 0.829086i | \(-0.311138\pi\) |
0.997570 | − | 0.0696707i | \(-0.0221949\pi\) | |||||||
\(948\) | −40.2025 | + | 69.6327i | −1.30572 | + | 2.26156i | ||||
\(949\) | −23.5031 | − | 35.8150i | −0.762944 | − | 1.16260i | ||||
\(950\) | 0.985770 | + | 1.70740i | 0.0319826 | + | 0.0553955i | ||||
\(951\) | − | 21.5347i | − | 0.698311i | ||||||
\(952\) | −10.4284 | − | 7.91602i | −0.337988 | − | 0.256560i | ||||
\(953\) | −14.8378 | −0.480644 | −0.240322 | − | 0.970693i | \(-0.577253\pi\) | ||||
−0.240322 | + | 0.970693i | \(0.577253\pi\) | |||||||
\(954\) | 101.959 | − | 58.8663i | 3.30106 | − | 1.90587i | ||||
\(955\) | 49.3529 | + | 28.4939i | 1.59702 | + | 0.922041i | ||||
\(956\) | −58.0366 | − | 33.5075i | −1.87704 | − | 1.08371i | ||||
\(957\) | −1.69205 | + | 0.976908i | −0.0546964 | + | 0.0315790i | ||||
\(958\) | 0.331812 | 0.0107203 | ||||||||
\(959\) | −1.05589 | − | 0.801506i | −0.0340965 | − | 0.0258820i | ||||
\(960\) | 86.8081i | 2.80172i | ||||||||
\(961\) | −4.89769 | − | 8.48305i | −0.157990 | − | 0.273647i | ||||
\(962\) | −38.1661 | + | 25.0460i | −1.23052 | + | 0.807515i | ||||
\(963\) | −41.8491 | + | 72.4847i | −1.34857 | + | 2.33579i | ||||
\(964\) | 35.4604 | − | 20.4731i | 1.14210 | − | 0.659393i | ||||
\(965\) | −0.454714 | −0.0146378 | ||||||||
\(966\) | 20.1974 | − | 8.48964i | 0.649842 | − | 0.273150i | ||||
\(967\) | − | 3.09473i | − | 0.0995199i | −0.998761 | − | 0.0497600i | \(-0.984154\pi\) | ||
0.998761 | − | 0.0497600i | \(-0.0158456\pi\) | |||||||
\(968\) | −26.3326 | + | 15.2031i | −0.846361 | + | 0.488647i | ||||
\(969\) | −8.62524 | − | 4.97979i | −0.277083 | − | 0.159974i | ||||
\(970\) | −32.2352 | − | 18.6110i | −1.03501 | − | 0.597564i | ||||
\(971\) | −27.4506 | − | 47.5459i | −0.880933 | − | 1.52582i | −0.850305 | − | 0.526290i | \(-0.823583\pi\) |
−0.0306280 | − | 0.999531i | \(-0.509751\pi\) | |||||||
\(972\) | −65.0010 | −2.08491 | ||||||||
\(973\) | −3.72564 | − | 0.470751i | −0.119439 | − | 0.0150916i | ||||
\(974\) | 37.5200 | 1.20222 | ||||||||
\(975\) | 0.314287 | + | 5.49348i | 0.0100653 | + | 0.175932i | ||||
\(976\) | −0.120340 | + | 0.208435i | −0.00385198 | + | 0.00667183i | ||||
\(977\) | −37.4196 | − | 21.6042i | −1.19716 | − | 0.691181i | −0.237239 | − | 0.971451i | \(-0.576243\pi\) |
−0.959921 | + | 0.280270i | \(0.909576\pi\) | |||||||
\(978\) | 36.2847 | + | 62.8470i | 1.16026 | + | 2.00962i | ||||
\(979\) | 0.511795 | 0.0163570 | ||||||||
\(980\) | 11.9152 | − | 46.3973i | 0.380618 | − | 1.48211i | ||||
\(981\) | 9.43124i | 0.301116i | ||||||||
\(982\) | −36.0276 | + | 20.8006i | −1.14969 | + | 0.663773i | ||||
\(983\) | −21.5498 | − | 12.4418i | −0.687332 | − | 0.396831i | 0.115280 | − | 0.993333i | \(-0.463224\pi\) |
−0.802612 | + | 0.596502i | \(0.796557\pi\) | |||||||
\(984\) | 29.5588 | − | 51.1973i | 0.942299 | − | 1.63211i | ||||
\(985\) | 11.9308 | + | 20.6647i | 0.380146 | + | 0.658433i | ||||
\(986\) | 8.15254i | 0.259630i | ||||||||
\(987\) | −9.94538 | + | 78.7102i | −0.316565 | + | 2.50537i | ||||
\(988\) | −9.30158 | + | 18.4735i | −0.295923 | + | 0.587722i | ||||
\(989\) | −0.877834 | − | 1.52045i | −0.0279135 | − | 0.0483476i | ||||
\(990\) | −8.98203 | − | 5.18578i | −0.285468 | − | 0.164815i | ||||
\(991\) | −2.39164 | + | 4.14244i | −0.0759730 | + | 0.131589i | −0.901509 | − | 0.432760i | \(-0.857540\pi\) |
0.825536 | + | 0.564349i | \(0.190873\pi\) | |||||||
\(992\) | 13.2078 | + | 22.8765i | 0.419347 | + | 0.726331i | ||||
\(993\) | − | 43.5216i | − | 1.38112i | ||||||
\(994\) | 3.16390 | + | 7.52714i | 0.100353 | + | 0.238746i | ||||
\(995\) | − | 43.3925i | − | 1.37564i | ||||||
\(996\) | 98.6614 | − | 56.9622i | 3.12621 | − | 1.80492i | ||||
\(997\) | −1.72037 | + | 2.97977i | −0.0544847 | + | 0.0943703i | −0.891981 | − | 0.452072i | \(-0.850685\pi\) |
0.837497 | + | 0.546442i | \(0.184018\pi\) | |||||||
\(998\) | 42.9225 | − | 74.3439i | 1.35869 | − | 2.35331i | ||||
\(999\) | 59.3441 | − | 34.2623i | 1.87756 | − | 1.08401i |
(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 | 91.2.r.a.25.8 | yes | 16 | |
3.2 | odd | 2 | 819.2.dl.e.298.1 | 16 | |||
7.2 | even | 3 | inner | 91.2.r.a.51.1 | yes | 16 | |
7.3 | odd | 6 | 637.2.c.e.246.8 | 8 | |||
7.4 | even | 3 | 637.2.c.f.246.8 | 8 | |||
7.5 | odd | 6 | 637.2.r.f.324.1 | 16 | |||
7.6 | odd | 2 | 637.2.r.f.116.8 | 16 | |||
13.5 | odd | 4 | 1183.2.e.i.508.1 | 16 | |||
13.8 | odd | 4 | 1183.2.e.i.508.8 | 16 | |||
13.12 | even | 2 | inner | 91.2.r.a.25.1 | ✓ | 16 | |
21.2 | odd | 6 | 819.2.dl.e.415.8 | 16 | |||
39.38 | odd | 2 | 819.2.dl.e.298.8 | 16 | |||
91.12 | odd | 6 | 637.2.r.f.324.8 | 16 | |||
91.18 | odd | 12 | 8281.2.a.ck.1.8 | 8 | |||
91.25 | even | 6 | 637.2.c.f.246.1 | 8 | |||
91.31 | even | 12 | 8281.2.a.cj.1.8 | 8 | |||
91.38 | odd | 6 | 637.2.c.e.246.1 | 8 | |||
91.44 | odd | 12 | 1183.2.e.i.170.1 | 16 | |||
91.51 | even | 6 | inner | 91.2.r.a.51.8 | yes | 16 | |
91.60 | odd | 12 | 8281.2.a.ck.1.1 | 8 | |||
91.73 | even | 12 | 8281.2.a.cj.1.1 | 8 | |||
91.86 | odd | 12 | 1183.2.e.i.170.8 | 16 | |||
91.90 | odd | 2 | 637.2.r.f.116.1 | 16 | |||
273.233 | odd | 6 | 819.2.dl.e.415.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.r.a.25.1 | ✓ | 16 | 13.12 | even | 2 | inner | |
91.2.r.a.25.8 | yes | 16 | 1.1 | even | 1 | trivial | |
91.2.r.a.51.1 | yes | 16 | 7.2 | even | 3 | inner | |
91.2.r.a.51.8 | yes | 16 | 91.51 | even | 6 | inner | |
637.2.c.e.246.1 | 8 | 91.38 | odd | 6 | |||
637.2.c.e.246.8 | 8 | 7.3 | odd | 6 | |||
637.2.c.f.246.1 | 8 | 91.25 | even | 6 | |||
637.2.c.f.246.8 | 8 | 7.4 | even | 3 | |||
637.2.r.f.116.1 | 16 | 91.90 | odd | 2 | |||
637.2.r.f.116.8 | 16 | 7.6 | odd | 2 | |||
637.2.r.f.324.1 | 16 | 7.5 | odd | 6 | |||
637.2.r.f.324.8 | 16 | 91.12 | odd | 6 | |||
819.2.dl.e.298.1 | 16 | 3.2 | odd | 2 | |||
819.2.dl.e.298.8 | 16 | 39.38 | odd | 2 | |||
819.2.dl.e.415.1 | 16 | 273.233 | odd | 6 | |||
819.2.dl.e.415.8 | 16 | 21.2 | odd | 6 | |||
1183.2.e.i.170.1 | 16 | 91.44 | odd | 12 | |||
1183.2.e.i.170.8 | 16 | 91.86 | odd | 12 | |||
1183.2.e.i.508.1 | 16 | 13.5 | odd | 4 | |||
1183.2.e.i.508.8 | 16 | 13.8 | odd | 4 | |||
8281.2.a.cj.1.1 | 8 | 91.73 | even | 12 | |||
8281.2.a.cj.1.8 | 8 | 91.31 | even | 12 | |||
8281.2.a.ck.1.1 | 8 | 91.60 | odd | 12 | |||
8281.2.a.ck.1.8 | 8 | 91.18 | odd | 12 |