Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.5 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.5 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29457 | + | 0.569294i | −0.915397 | + | 0.402551i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | 1.35181 | − | 1.47398i | 0.675905 | − | 0.736989i | ||||
\(5\) | 2.22495 | − | 0.222669i | 0.995030 | − | 0.0995806i | ||||
\(6\) | −1.36769 | + | 0.359770i | −0.558356 | + | 0.146875i | ||||
\(7\) | −3.70249 | + | 3.70249i | −1.39941 | + | 1.39941i | −0.597664 | + | 0.801747i | \(0.703904\pi\) |
−0.801747 | + | 0.597664i | \(0.796096\pi\) | |||||||
\(8\) | −0.910882 | + | 2.67774i | −0.322045 | + | 0.946724i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | −2.75359 | + | 1.55491i | −0.870761 | + | 0.491706i | ||||
\(11\) | 0.352091 | − | 0.114401i | 0.106160 | − | 0.0344933i | −0.255456 | − | 0.966821i | \(-0.582225\pi\) |
0.361615 | + | 0.932327i | \(0.382225\pi\) | |||||||
\(12\) | 1.56575 | − | 1.24436i | 0.451992 | − | 0.359216i | ||||
\(13\) | 2.36428 | + | 4.64017i | 0.655734 | + | 1.28695i | 0.944172 | + | 0.329453i | \(0.106864\pi\) |
−0.288438 | + | 0.957499i | \(0.593136\pi\) | |||||||
\(14\) | 2.68532 | − | 6.90093i | 0.717682 | − | 1.84435i | ||||
\(15\) | 2.23239 | + | 0.128132i | 0.576402 | + | 0.0330835i | ||||
\(16\) | −0.345222 | − | 3.98507i | −0.0863056 | − | 0.996269i | ||||
\(17\) | −0.155364 | − | 0.980930i | −0.0376813 | − | 0.237910i | 0.961658 | − | 0.274251i | \(-0.0884299\pi\) |
−0.999339 | + | 0.0363406i | \(0.988430\pi\) | |||||||
\(18\) | −1.40713 | + | 0.141387i | −0.331663 | + | 0.0333253i | ||||
\(19\) | 2.30977 | + | 1.67815i | 0.529897 | + | 0.384993i | 0.820319 | − | 0.571906i | \(-0.193796\pi\) |
−0.290422 | + | 0.956899i | \(0.593796\pi\) | |||||||
\(20\) | 2.67950 | − | 3.58054i | 0.599155 | − | 0.800633i | ||||
\(21\) | −4.23611 | + | 3.07771i | −0.924394 | + | 0.671612i | ||||
\(22\) | −0.390678 | + | 0.348544i | −0.0832928 | + | 0.0743098i | ||||
\(23\) | 3.21049 | − | 6.30095i | 0.669434 | − | 1.31384i | −0.267237 | − | 0.963631i | \(-0.586111\pi\) |
0.936672 | − | 0.350208i | \(-0.113889\pi\) | |||||||
\(24\) | −1.31856 | + | 2.50228i | −0.269150 | + | 0.510776i | ||||
\(25\) | 4.90084 | − | 0.990856i | 0.980167 | − | 0.198171i | ||||
\(26\) | −5.70234 | − | 4.66104i | −1.11832 | − | 0.914105i | ||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | 0.452328 | + | 10.4625i | 0.0854820 | + | 1.97722i | ||||
\(29\) | 0.959703 | + | 1.32092i | 0.178212 | + | 0.245288i | 0.888773 | − | 0.458348i | \(-0.151559\pi\) |
−0.710561 | + | 0.703636i | \(0.751559\pi\) | |||||||
\(30\) | −2.96293 | + | 1.10501i | −0.540954 | + | 0.201747i | ||||
\(31\) | −3.91704 | + | 5.39135i | −0.703522 | + | 0.968315i | 0.296390 | + | 0.955067i | \(0.404217\pi\) |
−0.999912 | + | 0.0132480i | \(0.995783\pi\) | |||||||
\(32\) | 2.71559 | + | 4.96242i | 0.480053 | + | 0.877239i | ||||
\(33\) | 0.365653 | − | 0.0579137i | 0.0636520 | − | 0.0100815i | ||||
\(34\) | 0.759566 | + | 1.18143i | 0.130265 | + | 0.202614i | ||||
\(35\) | −7.41344 | + | 9.06230i | −1.25310 | + | 1.53181i | ||||
\(36\) | 1.74113 | − | 0.984104i | 0.290189 | − | 0.164017i | ||||
\(37\) | −3.78075 | + | 1.92639i | −0.621552 | + | 0.316697i | −0.736256 | − | 0.676703i | \(-0.763408\pi\) |
0.114704 | + | 0.993400i | \(0.463408\pi\) | |||||||
\(38\) | −3.94551 | − | 0.857536i | −0.640046 | − | 0.139111i | ||||
\(39\) | 1.60929 | + | 4.95290i | 0.257693 | + | 0.793098i | ||||
\(40\) | −1.43042 | + | 6.16067i | −0.226169 | + | 0.974088i | ||||
\(41\) | 0.959013 | − | 2.95154i | 0.149773 | − | 0.460953i | −0.847821 | − | 0.530282i | \(-0.822086\pi\) |
0.997594 | + | 0.0693295i | \(0.0220860\pi\) | |||||||
\(42\) | 3.73180 | − | 6.39589i | 0.575830 | − | 0.986908i | ||||
\(43\) | −0.302937 | − | 0.302937i | −0.0461974 | − | 0.0461974i | 0.683631 | − | 0.729828i | \(-0.260400\pi\) |
−0.729828 | + | 0.683631i | \(0.760400\pi\) | |||||||
\(44\) | 0.307335 | − | 0.673624i | 0.0463325 | − | 0.101553i | ||||
\(45\) | 2.18487 | + | 0.475778i | 0.325700 | + | 0.0709248i | ||||
\(46\) | −0.569111 | + | 9.98472i | −0.0839108 | + | 1.47217i | ||||
\(47\) | 0.817946 | − | 5.16431i | 0.119310 | − | 0.753292i | −0.853398 | − | 0.521259i | \(-0.825462\pi\) |
0.972708 | − | 0.232032i | \(-0.0745375\pi\) | |||||||
\(48\) | 0.282431 | − | 3.99002i | 0.0407654 | − | 0.575909i | ||||
\(49\) | − | 20.4169i | − | 2.91670i | ||||||
\(50\) | −5.78038 | + | 4.07275i | −0.817469 | + | 0.575973i | ||||
\(51\) | − | 0.993157i | − | 0.139070i | ||||||
\(52\) | 10.0356 | + | 2.78772i | 1.39168 | + | 0.386587i | ||||
\(53\) | −0.685412 | + | 4.32752i | −0.0941485 | + | 0.594431i | 0.894834 | + | 0.446399i | \(0.147294\pi\) |
−0.988983 | + | 0.148032i | \(0.952706\pi\) | |||||||
\(54\) | −1.41192 | − | 0.0804769i | −0.192138 | − | 0.0109515i | ||||
\(55\) | 0.757913 | − | 0.332938i | 0.102197 | − | 0.0448933i | ||||
\(56\) | −6.54178 | − | 13.2868i | −0.874182 | − | 1.77553i | ||||
\(57\) | 2.01881 | + | 2.01881i | 0.267398 | + | 0.267398i | ||||
\(58\) | −1.99439 | − | 1.16366i | −0.261876 | − | 0.152797i | ||||
\(59\) | 1.32518 | − | 4.07849i | 0.172524 | − | 0.530974i | −0.826988 | − | 0.562220i | \(-0.809947\pi\) |
0.999512 | + | 0.0312458i | \(0.00994746\pi\) | |||||||
\(60\) | 3.20663 | − | 3.11729i | 0.413975 | − | 0.402440i | ||||
\(61\) | −2.66600 | − | 8.20510i | −0.341346 | − | 1.05056i | −0.963511 | − | 0.267669i | \(-0.913747\pi\) |
0.622165 | − | 0.782886i | \(-0.286253\pi\) | |||||||
\(62\) | 2.00162 | − | 9.20941i | 0.254206 | − | 1.16960i | ||||
\(63\) | −4.66541 | + | 2.37715i | −0.587787 | + | 0.299492i | ||||
\(64\) | −6.34059 | − | 4.87821i | −0.792573 | − | 0.609776i | ||||
\(65\) | 6.29364 | + | 9.79771i | 0.780630 | + | 1.21526i | ||||
\(66\) | −0.440392 | + | 0.283137i | −0.0542085 | + | 0.0348518i | ||||
\(67\) | 4.13082 | − | 0.654258i | 0.504660 | − | 0.0799304i | 0.101087 | − | 0.994878i | \(-0.467768\pi\) |
0.403573 | + | 0.914947i | \(0.367768\pi\) | |||||||
\(68\) | −1.65589 | − | 1.09703i | −0.200806 | − | 0.133034i | ||||
\(69\) | 4.15665 | − | 5.72114i | 0.500402 | − | 0.688745i | ||||
\(70\) | 4.43809 | − | 15.9522i | 0.530453 | − | 1.90665i | ||||
\(71\) | 3.73936 | + | 5.14679i | 0.443780 | + | 0.610811i | 0.971047 | − | 0.238889i | \(-0.0767831\pi\) |
−0.527267 | + | 0.849700i | \(0.676783\pi\) | |||||||
\(72\) | −1.69377 | + | 2.26520i | −0.199612 | + | 0.266957i | ||||
\(73\) | −12.0226 | − | 6.12582i | −1.40714 | − | 0.716973i | −0.425011 | − | 0.905188i | \(-0.639730\pi\) |
−0.982128 | + | 0.188215i | \(0.939730\pi\) | |||||||
\(74\) | 3.79776 | − | 4.64620i | 0.441481 | − | 0.540110i | ||||
\(75\) | 4.99550 | − | 0.211997i | 0.576831 | − | 0.0244793i | ||||
\(76\) | 5.59592 | − | 1.13602i | 0.641896 | − | 0.130310i | ||||
\(77\) | −0.880045 | + | 1.72719i | −0.100290 | + | 0.196831i | ||||
\(78\) | −4.90299 | − | 5.49570i | −0.555154 | − | 0.622265i | ||||
\(79\) | 7.17475 | − | 5.21276i | 0.807222 | − | 0.586481i | −0.105802 | − | 0.994387i | \(-0.533741\pi\) |
0.913024 | + | 0.407906i | \(0.133741\pi\) | |||||||
\(80\) | −1.65546 | − | 8.78974i | −0.185086 | − | 0.982722i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 0.438785 | + | 4.36692i | 0.0484557 | + | 0.482246i | ||||
\(83\) | −1.07499 | − | 6.78724i | −0.117996 | − | 0.744997i | −0.973751 | − | 0.227616i | \(-0.926907\pi\) |
0.855755 | − | 0.517381i | \(-0.173093\pi\) | |||||||
\(84\) | −1.18993 | + | 10.4044i | −0.129832 | + | 1.13521i | ||||
\(85\) | −0.564100 | − | 2.14793i | −0.0611853 | − | 0.232976i | ||||
\(86\) | 0.564632 | + | 0.219712i | 0.0608858 | + | 0.0236922i | ||||
\(87\) | 0.741250 | + | 1.45479i | 0.0794704 | + | 0.155969i | ||||
\(88\) | −0.0143764 | + | 1.04702i | −0.00153253 | + | 0.111612i | ||||
\(89\) | −12.1162 | + | 3.93680i | −1.28432 | + | 0.417300i | −0.870099 | − | 0.492877i | \(-0.835945\pi\) |
−0.414219 | + | 0.910177i | \(0.635945\pi\) | |||||||
\(90\) | −3.09931 | + | 0.627903i | −0.326696 | + | 0.0661868i | ||||
\(91\) | −25.9339 | − | 8.42645i | −2.71862 | − | 0.883332i | ||||
\(92\) | −4.94749 | − | 13.2499i | −0.515811 | − | 1.38140i | ||||
\(93\) | −4.71221 | + | 4.71221i | −0.488634 | + | 0.488634i | ||||
\(94\) | 1.88112 | + | 7.15119i | 0.194023 | + | 0.737589i | ||||
\(95\) | 5.51280 | + | 3.21948i | 0.565601 | + | 0.330312i | ||||
\(96\) | 1.90587 | + | 5.32613i | 0.194517 | + | 0.543596i | ||||
\(97\) | 10.9115 | + | 1.72821i | 1.10789 | + | 0.175473i | 0.683461 | − | 0.729987i | \(-0.260474\pi\) |
0.424431 | + | 0.905460i | \(0.360474\pi\) | |||||||
\(98\) | 11.6232 | + | 26.4311i | 1.17412 | + | 2.66994i | ||||
\(99\) | 0.370211 | 0.0372076 | ||||||||
\(100\) | 5.16450 | − | 8.56317i | 0.516450 | − | 0.856317i | ||||
\(101\) | −2.66285 | −0.264964 | −0.132482 | − | 0.991185i | \(-0.542295\pi\) | ||||
−0.132482 | + | 0.991185i | \(0.542295\pi\) | |||||||
\(102\) | 0.565398 | + | 1.28571i | 0.0559827 | + | 0.127304i | ||||
\(103\) | 3.88658 | + | 0.615574i | 0.382956 | + | 0.0606543i | 0.344945 | − | 0.938623i | \(-0.387898\pi\) |
0.0380114 | + | 0.999277i | \(0.487898\pi\) | |||||||
\(104\) | −14.5788 | + | 2.10429i | −1.42956 | + | 0.206343i | ||||
\(105\) | −8.73983 | + | 7.79101i | −0.852920 | + | 0.760325i | ||||
\(106\) | −1.57632 | − | 5.99247i | −0.153106 | − | 0.582040i | ||||
\(107\) | 0.239138 | − | 0.239138i | 0.0231184 | − | 0.0231184i | −0.695453 | − | 0.718571i | \(-0.744796\pi\) |
0.718571 | + | 0.695453i | \(0.244796\pi\) | |||||||
\(108\) | 1.87364 | − | 0.699615i | 0.180291 | − | 0.0673205i | ||||
\(109\) | 11.4281 | + | 3.71322i | 1.09462 | + | 0.355662i | 0.800028 | − | 0.599962i | \(-0.204818\pi\) |
0.294588 | + | 0.955624i | \(0.404818\pi\) | |||||||
\(110\) | −0.791630 | + | 0.862485i | −0.0754790 | + | 0.0822347i | ||||
\(111\) | −4.03556 | + | 1.31123i | −0.383038 | + | 0.124457i | ||||
\(112\) | 16.0329 | + | 13.4765i | 1.51497 | + | 1.27341i | ||||
\(113\) | −6.18517 | − | 12.1391i | −0.581851 | − | 1.14195i | −0.974944 | − | 0.222449i | \(-0.928595\pi\) |
0.393093 | − | 0.919499i | \(-0.371405\pi\) | |||||||
\(114\) | −3.76279 | − | 1.46419i | −0.352417 | − | 0.137134i | ||||
\(115\) | 5.74018 | − | 14.7342i | 0.535274 | − | 1.37397i | ||||
\(116\) | 3.24434 | + | 0.371048i | 0.301229 | + | 0.0344509i | ||||
\(117\) | 0.814677 | + | 5.14367i | 0.0753169 | + | 0.475532i | ||||
\(118\) | 0.606321 | + | 6.03430i | 0.0558164 | + | 0.555502i | ||||
\(119\) | 4.20712 | + | 3.05665i | 0.385666 | + | 0.280203i | ||||
\(120\) | −2.37655 | + | 5.86106i | −0.216948 | + | 0.535039i | ||||
\(121\) | −8.78831 | + | 6.38508i | −0.798937 | + | 0.580462i | ||||
\(122\) | 8.12243 | + | 9.10432i | 0.735370 | + | 0.824266i | ||||
\(123\) | 1.40893 | − | 2.76518i | 0.127039 | − | 0.249328i | ||||
\(124\) | 2.65163 | + | 13.0617i | 0.238124 | + | 1.17298i | ||||
\(125\) | 10.6835 | − | 3.29587i | 0.955562 | − | 0.294792i | ||||
\(126\) | 4.68640 | − | 5.73337i | 0.417497 | − | 0.510769i | ||||
\(127\) | −11.7063 | − | 5.96467i | −1.03877 | − | 0.529279i | −0.150503 | − | 0.988610i | \(-0.548089\pi\) |
−0.888266 | + | 0.459330i | \(0.848089\pi\) | |||||||
\(128\) | 10.9855 | + | 2.70552i | 0.970986 | + | 0.239136i | ||||
\(129\) | −0.251817 | − | 0.346597i | −0.0221713 | − | 0.0305161i | ||||
\(130\) | −13.7253 | − | 9.10086i | −1.20379 | − | 0.798198i | ||||
\(131\) | 9.63540 | − | 13.2620i | 0.841849 | − | 1.15871i | −0.143751 | − | 0.989614i | \(-0.545917\pi\) |
0.985600 | − | 0.169092i | \(-0.0540834\pi\) | |||||||
\(132\) | 0.408929 | − | 0.617252i | 0.0355927 | − | 0.0537249i | ||||
\(133\) | −14.7652 | + | 2.33858i | −1.28031 | + | 0.202781i | ||||
\(134\) | −4.97516 | + | 3.19863i | −0.429789 | + | 0.276320i | ||||
\(135\) | 2.08354 | + | 0.811708i | 0.179322 | + | 0.0698607i | ||||
\(136\) | 2.76819 | + | 0.477487i | 0.237371 | + | 0.0409442i | ||||
\(137\) | −9.20904 | + | 4.69224i | −0.786782 | + | 0.400885i | −0.800736 | − | 0.599017i | \(-0.795558\pi\) |
0.0139543 | + | 0.999903i | \(0.495558\pi\) | |||||||
\(138\) | −2.12406 | + | 9.77276i | −0.180812 | + | 0.831913i | ||||
\(139\) | −0.0731045 | − | 0.224993i | −0.00620065 | − | 0.0190836i | 0.947908 | − | 0.318543i | \(-0.103194\pi\) |
−0.954109 | + | 0.299460i | \(0.903194\pi\) | |||||||
\(140\) | 3.33607 | + | 23.1778i | 0.281950 | + | 1.95888i | ||||
\(141\) | 1.61575 | − | 4.97277i | 0.136071 | − | 0.418783i | ||||
\(142\) | −7.77088 | − | 4.53407i | −0.652118 | − | 0.380490i | ||||
\(143\) | 1.36329 | + | 1.36329i | 0.114004 | + | 0.114004i | ||||
\(144\) | 0.903130 | − | 3.89671i | 0.0752608 | − | 0.324726i | ||||
\(145\) | 2.42942 | + | 2.72528i | 0.201752 | + | 0.226323i | ||||
\(146\) | 19.0515 | + | 1.08590i | 1.57671 | + | 0.0898695i | ||||
\(147\) | 3.19391 | − | 20.1655i | 0.263429 | − | 1.66323i | ||||
\(148\) | −2.27140 | + | 8.17686i | −0.186708 | + | 0.672134i | ||||
\(149\) | − | 18.9045i | − | 1.54871i | −0.632748 | − | 0.774357i | \(-0.718073\pi\) | ||
0.632748 | − | 0.774357i | \(-0.281927\pi\) | |||||||
\(150\) | −6.34633 | + | 3.11835i | −0.518175 | + | 0.254612i | ||||
\(151\) | 7.54220i | 0.613775i | 0.951746 | + | 0.306888i | \(0.0992876\pi\) | ||||
−0.951746 | + | 0.306888i | \(0.900712\pi\) | |||||||
\(152\) | −6.59757 | + | 4.65637i | −0.535133 | + | 0.377681i | ||||
\(153\) | 0.155364 | − | 0.980930i | 0.0125604 | − | 0.0793035i | ||||
\(154\) | 0.156002 | − | 2.73696i | 0.0125710 | − | 0.220551i | ||||
\(155\) | −7.51476 | + | 12.8677i | −0.603600 | + | 1.03356i | ||||
\(156\) | 9.47592 | + | 4.32331i | 0.758681 | + | 0.346142i | ||||
\(157\) | 5.54998 | + | 5.54998i | 0.442936 | + | 0.442936i | 0.892998 | − | 0.450061i | \(-0.148598\pi\) |
−0.450061 | + | 0.892998i | \(0.648598\pi\) | |||||||
\(158\) | −6.32060 | + | 10.8328i | −0.502840 | + | 0.861812i | ||||
\(159\) | −1.35395 | + | 4.16702i | −0.107375 | + | 0.330466i | ||||
\(160\) | 7.14704 | + | 10.4365i | 0.565023 | + | 0.825075i | ||||
\(161\) | 11.4424 | + | 35.2161i | 0.901787 | + | 2.77541i | ||||
\(162\) | −1.38195 | − | 0.300359i | −0.108576 | − | 0.0235985i | ||||
\(163\) | 8.50184 | − | 4.33190i | 0.665915 | − | 0.339301i | −0.0881433 | − | 0.996108i | \(-0.528093\pi\) |
0.754059 | + | 0.656807i | \(0.228093\pi\) | |||||||
\(164\) | −3.05410 | − | 5.40348i | −0.238485 | − | 0.421941i | ||||
\(165\) | 0.800665 | − | 0.210275i | 0.0623317 | − | 0.0163699i | ||||
\(166\) | 5.25558 | + | 8.17455i | 0.407913 | + | 0.634468i | ||||
\(167\) | −13.2086 | + | 2.09204i | −1.02211 | + | 0.161887i | −0.644921 | − | 0.764249i | \(-0.723110\pi\) |
−0.377191 | + | 0.926136i | \(0.623110\pi\) | |||||||
\(168\) | −4.38272 | − | 14.1466i | −0.338134 | − | 1.09144i | ||||
\(169\) | −8.30012 | + | 11.4241i | −0.638471 | + | 0.878780i | ||||
\(170\) | 1.95307 | + | 2.45950i | 0.149793 | + | 0.188635i | ||||
\(171\) | 1.67815 | + | 2.30977i | 0.128331 | + | 0.176632i | ||||
\(172\) | −0.856035 | + | 0.0370093i | −0.0652720 | + | 0.00282194i | ||||
\(173\) | 2.31220 | + | 1.17813i | 0.175794 | + | 0.0895713i | 0.539673 | − | 0.841875i | \(-0.318548\pi\) |
−0.363879 | + | 0.931446i | \(0.618548\pi\) | |||||||
\(174\) | −1.78780 | − | 1.46133i | −0.135533 | − | 0.110783i | ||||
\(175\) | −14.4767 | + | 21.8139i | −1.09433 | + | 1.64898i | ||||
\(176\) | −0.577448 | − | 1.36362i | −0.0435268 | − | 0.102786i | ||||
\(177\) | 1.94688 | − | 3.82097i | 0.146337 | − | 0.287202i | ||||
\(178\) | 13.4441 | − | 11.9942i | 1.00768 | − | 0.899000i | ||||
\(179\) | 2.40147 | − | 1.74477i | 0.179494 | − | 0.130410i | −0.494410 | − | 0.869229i | \(-0.664616\pi\) |
0.673904 | + | 0.738819i | \(0.264616\pi\) | |||||||
\(180\) | 3.65481 | − | 2.57728i | 0.272413 | − | 0.192099i | ||||
\(181\) | 10.4496 | + | 7.59211i | 0.776716 | + | 0.564317i | 0.903992 | − | 0.427550i | \(-0.140623\pi\) |
−0.127276 | + | 0.991867i | \(0.540623\pi\) | |||||||
\(182\) | 38.3704 | − | 3.85542i | 2.84420 | − | 0.285783i | ||||
\(183\) | −1.34962 | − | 8.52114i | −0.0997664 | − | 0.629900i | ||||
\(184\) | 13.9479 | + | 14.3363i | 1.02825 | + | 1.05689i | ||||
\(185\) | −7.98305 | + | 5.12799i | −0.586926 | + | 0.377017i | ||||
\(186\) | 3.41764 | − | 8.78291i | 0.250594 | − | 0.643994i | ||||
\(187\) | −0.166922 | − | 0.327603i | −0.0122065 | − | 0.0239567i | ||||
\(188\) | −6.50637 | − | 8.18679i | −0.474526 | − | 0.597083i | ||||
\(189\) | −4.97984 | + | 1.61805i | −0.362230 | + | 0.117696i | ||||
\(190\) | −8.96952 | − | 1.02943i | −0.650718 | − | 0.0746830i | ||||
\(191\) | 15.1573 | + | 4.92491i | 1.09675 | + | 0.356354i | 0.800849 | − | 0.598866i | \(-0.204382\pi\) |
0.295896 | + | 0.955220i | \(0.404382\pi\) | |||||||
\(192\) | −5.49940 | − | 5.81004i | −0.396885 | − | 0.419303i | ||||
\(193\) | 6.71231 | − | 6.71231i | 0.483163 | − | 0.483163i | −0.422977 | − | 0.906140i | \(-0.639015\pi\) |
0.906140 | + | 0.422977i | \(0.139015\pi\) | |||||||
\(194\) | −15.1095 | + | 3.97455i | −1.08480 | + | 0.285356i | ||||
\(195\) | 4.68346 | + | 10.6616i | 0.335390 | + | 0.763495i | ||||
\(196\) | −30.0941 | − | 27.5998i | −2.14958 | − | 1.97141i | ||||
\(197\) | −20.1134 | − | 3.18565i | −1.43302 | − | 0.226968i | −0.608840 | − | 0.793293i | \(-0.708365\pi\) |
−0.824182 | + | 0.566325i | \(0.808365\pi\) | |||||||
\(198\) | −0.479263 | + | 0.210759i | −0.0340597 | + | 0.0149780i | ||||
\(199\) | 4.63909 | 0.328856 | 0.164428 | − | 0.986389i | \(-0.447422\pi\) | ||||
0.164428 | + | 0.986389i | \(0.447422\pi\) | |||||||
\(200\) | −1.81083 | + | 14.0257i | −0.128045 | + | 0.991768i | ||||
\(201\) | 4.18231 | 0.294998 | ||||||||
\(202\) | 3.44724 | − | 1.51595i | 0.242547 | − | 0.106662i | ||||
\(203\) | −8.44398 | − | 1.33739i | −0.592651 | − | 0.0938667i | ||||
\(204\) | −1.46389 | − | 1.34256i | −0.102493 | − | 0.0939979i | ||||
\(205\) | 1.47654 | − | 6.78058i | 0.103126 | − | 0.473576i | ||||
\(206\) | −5.38188 | + | 1.41570i | −0.374973 | + | 0.0986367i | ||||
\(207\) | 5.00046 | − | 5.00046i | 0.347556 | − | 0.347556i | ||||
\(208\) | 17.6752 | − | 11.0237i | 1.22556 | − | 0.764359i | ||||
\(209\) | 1.00523 | + | 0.326620i | 0.0695333 | + | 0.0225928i | ||||
\(210\) | 6.87892 | − | 15.0615i | 0.474691 | − | 1.03934i | ||||
\(211\) | −0.267929 | + | 0.0870554i | −0.0184450 | + | 0.00599314i | −0.318225 | − | 0.948015i | \(-0.603087\pi\) |
0.299780 | + | 0.954008i | \(0.403087\pi\) | |||||||
\(212\) | 5.45212 | + | 6.86026i | 0.374453 | + | 0.471165i | ||||
\(213\) | 2.88819 | + | 5.66838i | 0.197895 | + | 0.388391i | ||||
\(214\) | −0.173441 | + | 0.445721i | −0.0118562 | + | 0.0304688i | ||||
\(215\) | −0.741475 | − | 0.606566i | −0.0505682 | − | 0.0413674i | ||||
\(216\) | −2.02727 | + | 1.97235i | −0.137938 | + | 0.134202i | ||||
\(217\) | −5.45860 | − | 34.4643i | −0.370554 | − | 2.33959i | ||||
\(218\) | −16.9084 | + | 1.69894i | −1.14518 | + | 0.115067i | ||||
\(219\) | −10.9163 | − | 7.93115i | −0.737654 | − | 0.535937i | ||||
\(220\) | 0.533812 | − | 1.56722i | 0.0359896 | − | 0.105662i | ||||
\(221\) | 4.18436 | − | 3.04011i | 0.281470 | − | 0.204500i | ||||
\(222\) | 4.47783 | − | 3.99490i | 0.300532 | − | 0.268120i | ||||
\(223\) | 3.69002 | − | 7.24207i | 0.247102 | − | 0.484965i | −0.733826 | − | 0.679338i | \(-0.762267\pi\) |
0.980928 | + | 0.194373i | \(0.0622671\pi\) | |||||||
\(224\) | −28.4278 | − | 8.31885i | −1.89941 | − | 0.555826i | ||||
\(225\) | 4.96716 | + | 0.572082i | 0.331144 | + | 0.0381388i | ||||
\(226\) | 14.9178 | + | 12.1937i | 0.992318 | + | 0.811111i | ||||
\(227\) | −21.3646 | − | 10.8858i | −1.41802 | − | 0.722517i | −0.434055 | − | 0.900886i | \(-0.642918\pi\) |
−0.983964 | + | 0.178369i | \(0.942918\pi\) | |||||||
\(228\) | 5.70474 | − | 0.246635i | 0.377805 | − | 0.0163338i | ||||
\(229\) | −0.207489 | − | 0.285584i | −0.0137113 | − | 0.0188719i | 0.802106 | − | 0.597181i | \(-0.203713\pi\) |
−0.815818 | + | 0.578309i | \(0.803713\pi\) | |||||||
\(230\) | 0.957042 | + | 22.3423i | 0.0631055 | + | 1.47321i | ||||
\(231\) | −1.13940 | + | 1.56825i | −0.0749671 | + | 0.103183i | ||||
\(232\) | −4.41125 | + | 1.36663i | −0.289613 | + | 0.0897240i | ||||
\(233\) | 22.1577 | − | 3.50943i | 1.45160 | − | 0.229911i | 0.619700 | − | 0.784839i | \(-0.287254\pi\) |
0.831898 | + | 0.554928i | \(0.187254\pi\) | |||||||
\(234\) | −3.98291 | − | 6.19503i | −0.260371 | − | 0.404982i | ||||
\(235\) | 0.669961 | − | 11.6725i | 0.0437034 | − | 0.761428i | ||||
\(236\) | −4.22021 | − | 7.46663i | −0.274712 | − | 0.486036i | ||||
\(237\) | 7.90187 | − | 4.02620i | 0.513282 | − | 0.261530i | ||||
\(238\) | −7.18653 | − | 1.56195i | −0.465834 | − | 0.101246i | ||||
\(239\) | 8.84046 | + | 27.2081i | 0.571842 | + | 1.75995i | 0.646689 | + | 0.762754i | \(0.276153\pi\) |
−0.0748471 | + | 0.997195i | \(0.523847\pi\) | |||||||
\(240\) | −0.260057 | − | 8.94049i | −0.0167866 | − | 0.577106i | ||||
\(241\) | 0.347825 | − | 1.07050i | 0.0224054 | − | 0.0689567i | −0.939229 | − | 0.343292i | \(-0.888458\pi\) |
0.961634 | + | 0.274335i | \(0.0884579\pi\) | |||||||
\(242\) | 7.74207 | − | 13.2690i | 0.497679 | − | 0.852966i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −15.6981 | − | 7.16211i | −1.00497 | − | 0.458507i | ||||
\(245\) | −4.54621 | − | 45.4267i | −0.290447 | − | 2.90220i | ||||
\(246\) | −0.249755 | + | 4.38180i | −0.0159238 | + | 0.279373i | ||||
\(247\) | −2.32593 | + | 14.6853i | −0.147995 | + | 0.934405i | ||||
\(248\) | −10.8687 | − | 15.3997i | −0.690161 | − | 0.977883i | ||||
\(249\) | − | 6.87185i | − | 0.435486i | ||||||
\(250\) | −11.9542 | + | 10.3488i | −0.756050 | + | 0.654514i | ||||
\(251\) | − | 2.00079i | − | 0.126289i | −0.998004 | − | 0.0631445i | \(-0.979887\pi\) | ||
0.998004 | − | 0.0631445i | \(-0.0201129\pi\) | |||||||
\(252\) | −2.80289 | + | 10.0902i | −0.176565 | + | 0.635621i | ||||
\(253\) | 0.409550 | − | 2.58580i | 0.0257482 | − | 0.162568i | ||||
\(254\) | 18.5503 | + | 1.05733i | 1.16395 | + | 0.0663429i | ||||
\(255\) | −0.221145 | − | 2.20973i | −0.0138487 | − | 0.138379i | ||||
\(256\) | −15.7616 | + | 2.75147i | −0.985103 | + | 0.171967i | ||||
\(257\) | 6.57806 | + | 6.57806i | 0.410328 | + | 0.410328i | 0.881853 | − | 0.471525i | \(-0.156296\pi\) |
−0.471525 | + | 0.881853i | \(0.656296\pi\) | |||||||
\(258\) | 0.523310 | + | 0.305335i | 0.0325798 | + | 0.0190093i | ||||
\(259\) | 6.86577 | − | 21.1307i | 0.426618 | − | 1.31300i | ||||
\(260\) | 22.9494 | + | 3.96794i | 1.42326 | + | 0.246081i | ||||
\(261\) | 0.504546 | + | 1.55283i | 0.0312306 | + | 0.0961179i | ||||
\(262\) | −4.92371 | + | 22.6539i | −0.304188 | + | 1.39956i | ||||
\(263\) | −3.97089 | + | 2.02327i | −0.244856 | + | 0.124760i | −0.572112 | − | 0.820175i | \(-0.693876\pi\) |
0.327257 | + | 0.944936i | \(0.393876\pi\) | |||||||
\(264\) | −0.177989 | + | 1.03188i | −0.0109544 | + | 0.0635076i | ||||
\(265\) | −0.561405 | + | 9.78115i | −0.0344869 | + | 0.600851i | ||||
\(266\) | 17.7832 | − | 11.4332i | 1.09036 | − | 0.701015i | ||||
\(267\) | −12.5829 | + | 1.99294i | −0.770062 | + | 0.121966i | ||||
\(268\) | 4.61972 | − | 6.97318i | 0.282195 | − | 0.425955i | ||||
\(269\) | −15.7496 | + | 21.6775i | −0.960272 | + | 1.32170i | −0.0134615 | + | 0.999909i | \(0.504285\pi\) |
−0.946811 | + | 0.321792i | \(0.895715\pi\) | |||||||
\(270\) | −3.15938 | + | 0.135334i | −0.192274 | + | 0.00823615i | ||||
\(271\) | 5.19079 | + | 7.14452i | 0.315318 | + | 0.433998i | 0.937031 | − | 0.349247i | \(-0.113563\pi\) |
−0.621712 | + | 0.783246i | \(0.713563\pi\) | |||||||
\(272\) | −3.85544 | + | 0.957776i | −0.233771 | + | 0.0580737i | ||||
\(273\) | −24.2965 | − | 12.3797i | −1.47049 | − | 0.749251i | ||||
\(274\) | 9.25047 | − | 11.3171i | 0.558841 | − | 0.683690i | ||||
\(275\) | 1.61219 | − | 0.909534i | 0.0972185 | − | 0.0548470i | ||||
\(276\) | −2.81384 | − | 13.8607i | −0.169373 | − | 0.834317i | ||||
\(277\) | −13.1831 | + | 25.8732i | −0.792093 | + | 1.55457i | 0.0395222 | + | 0.999219i | \(0.487416\pi\) |
−0.831615 | + | 0.555352i | \(0.812584\pi\) | |||||||
\(278\) | 0.222726 | + | 0.249650i | 0.0133582 | + | 0.0149730i | ||||
\(279\) | −5.39135 | + | 3.91704i | −0.322772 | + | 0.234507i | ||||
\(280\) | −17.5137 | − | 28.1060i | −1.04665 | − | 1.67965i | ||||
\(281\) | 3.57706 | + | 2.59889i | 0.213389 | + | 0.155036i | 0.689346 | − | 0.724432i | \(-0.257898\pi\) |
−0.475956 | + | 0.879469i | \(0.657898\pi\) | |||||||
\(282\) | 0.739268 | + | 7.35742i | 0.0440228 | + | 0.438128i | ||||
\(283\) | 0.148343 | + | 0.936598i | 0.00881805 | + | 0.0556750i | 0.991705 | − | 0.128535i | \(-0.0410274\pi\) |
−0.982887 | + | 0.184210i | \(0.941027\pi\) | |||||||
\(284\) | 12.6411 | + | 1.44574i | 0.750114 | + | 0.0857889i | ||||
\(285\) | 4.94129 | + | 4.04224i | 0.292697 | + | 0.239441i | ||||
\(286\) | −2.54098 | − | 0.988755i | −0.150251 | − | 0.0584663i | ||||
\(287\) | 7.37731 | + | 14.4788i | 0.435469 | + | 0.854655i | ||||
\(288\) | 1.04921 | + | 5.55870i | 0.0618253 | + | 0.327550i | ||||
\(289\) | 15.2299 | − | 4.94849i | 0.895875 | − | 0.291087i | ||||
\(290\) | −4.69654 | − | 2.14501i | −0.275790 | − | 0.125959i | ||||
\(291\) | 10.5068 | + | 3.41386i | 0.615918 | + | 0.200124i | ||||
\(292\) | −25.2816 | + | 9.44010i | −1.47949 | + | 0.552440i | ||||
\(293\) | 13.0996 | − | 13.0996i | 0.765289 | − | 0.765289i | −0.211984 | − | 0.977273i | \(-0.567992\pi\) |
0.977273 | + | 0.211984i | \(0.0679924\pi\) | |||||||
\(294\) | 7.34538 | + | 27.9239i | 0.428391 | + | 1.62856i | ||||
\(295\) | 2.04031 | − | 9.36953i | 0.118792 | − | 0.545515i | ||||
\(296\) | −1.71455 | − | 11.8786i | −0.0996563 | − | 0.690429i | ||||
\(297\) | 0.365653 | + | 0.0579137i | 0.0212173 | + | 0.00336049i | ||||
\(298\) | 10.7622 | + | 24.4731i | 0.623437 | + | 1.41769i | ||||
\(299\) | 36.8280 | 2.12982 | ||||||||
\(300\) | 6.44049 | − | 7.64984i | 0.371842 | − | 0.441664i | ||||
\(301\) | 2.24324 | 0.129298 | ||||||||
\(302\) | −4.29373 | − | 9.76388i | −0.247076 | − | 0.561848i | ||||
\(303\) | −2.63007 | − | 0.416562i | −0.151094 | − | 0.0239309i | ||||
\(304\) | 5.89015 | − | 9.78394i | 0.337823 | − | 0.561147i | ||||
\(305\) | −7.75874 | − | 17.6623i | −0.444264 | − | 1.01134i | ||||
\(306\) | 0.357308 | + | 1.35833i | 0.0204259 | + | 0.0776504i | ||||
\(307\) | 13.1612 | − | 13.1612i | 0.751147 | − | 0.751147i | −0.223546 | − | 0.974693i | \(-0.571763\pi\) |
0.974693 | + | 0.223546i | \(0.0717634\pi\) | |||||||
\(308\) | 1.35618 | + | 3.63199i | 0.0772756 | + | 0.206952i | ||||
\(309\) | 3.74243 | + | 1.21599i | 0.212900 | + | 0.0691752i | ||||
\(310\) | 2.40286 | − | 20.9362i | 0.136473 | − | 1.18910i | ||||
\(311\) | −19.9297 | + | 6.47555i | −1.13011 | + | 0.367195i | −0.813618 | − | 0.581400i | \(-0.802505\pi\) |
−0.316492 | + | 0.948595i | \(0.602505\pi\) | |||||||
\(312\) | −14.7284 | − | 0.202234i | −0.833834 | − | 0.0114493i | ||||
\(313\) | 6.80071 | + | 13.3471i | 0.384399 | + | 0.754425i | 0.999419 | − | 0.0340866i | \(-0.0108522\pi\) |
−0.615020 | + | 0.788511i | \(0.710852\pi\) | |||||||
\(314\) | −10.3444 | − | 4.02525i | −0.583768 | − | 0.227158i | ||||
\(315\) | −9.85101 | + | 6.32788i | −0.555042 | + | 0.356536i | ||||
\(316\) | 2.01540 | − | 17.6221i | 0.113375 | − | 0.991319i | ||||
\(317\) | 0.104878 | + | 0.662172i | 0.00589052 | + | 0.0371913i | 0.990459 | − | 0.137811i | \(-0.0440067\pi\) |
−0.984568 | + | 0.175002i | \(0.944007\pi\) | |||||||
\(318\) | −0.619482 | − | 6.16528i | −0.0347388 | − | 0.345732i | ||||
\(319\) | 0.489018 | + | 0.355292i | 0.0273797 | + | 0.0198925i | ||||
\(320\) | −15.1937 | − | 9.44194i | −0.849356 | − | 0.527821i | ||||
\(321\) | 0.273604 | − | 0.198785i | 0.0152711 | − | 0.0110951i | ||||
\(322\) | −34.8612 | − | 39.0755i | −1.94274 | − | 2.17759i | ||||
\(323\) | 1.28729 | − | 2.52644i | 0.0716266 | − | 0.140575i | ||||
\(324\) | 1.96002 | − | 0.397900i | 0.108890 | − | 0.0221055i | ||||
\(325\) | 16.1847 | + | 20.3980i | 0.897766 | + | 1.13148i | ||||
\(326\) | −8.54008 | + | 10.4480i | −0.472991 | + | 0.578660i | ||||
\(327\) | 10.7066 | + | 5.45526i | 0.592074 | + | 0.301677i | ||||
\(328\) | 7.02990 | + | 5.25649i | 0.388161 | + | 0.290241i | ||||
\(329\) | 16.0924 | + | 22.1492i | 0.887201 | + | 1.22113i | ||||
\(330\) | −0.916807 | + | 0.728028i | −0.0504685 | + | 0.0400766i | ||||
\(331\) | −17.4371 | + | 24.0002i | −0.958432 | + | 1.31917i | −0.0107532 | + | 0.999942i | \(0.503423\pi\) |
−0.947679 | + | 0.319226i | \(0.896577\pi\) | |||||||
\(332\) | −11.4574 | − | 7.59054i | −0.628808 | − | 0.416585i | ||||
\(333\) | −4.19100 | + | 0.663789i | −0.229665 | + | 0.0363754i | ||||
\(334\) | 15.9084 | − | 10.2279i | 0.870471 | − | 0.559643i | ||||
\(335\) | 9.04521 | − | 2.37550i | 0.494193 | − | 0.129787i | ||||
\(336\) | 13.7273 | + | 15.8187i | 0.748886 | + | 0.862981i | ||||
\(337\) | −15.3221 | + | 7.80699i | −0.834647 | + | 0.425274i | −0.818438 | − | 0.574595i | \(-0.805160\pi\) |
−0.0162086 | + | 0.999869i | \(0.505160\pi\) | |||||||
\(338\) | 4.24138 | − | 19.5145i | 0.230701 | − | 1.06145i | ||||
\(339\) | −4.21005 | − | 12.9572i | −0.228658 | − | 0.703738i | ||||
\(340\) | −3.92856 | − | 2.07212i | −0.213056 | − | 0.112376i | ||||
\(341\) | −0.762379 | + | 2.34636i | −0.0412852 | + | 0.127063i | ||||
\(342\) | −3.48741 | − | 2.03479i | −0.188578 | − | 0.110029i | ||||
\(343\) | 49.6760 | + | 49.6760i | 2.68225 | + | 2.68225i | ||||
\(344\) | 1.08713 | − | 0.535246i | 0.0586139 | − | 0.0288585i | ||||
\(345\) | 7.97444 | − | 13.6548i | 0.429330 | − | 0.735152i | ||||
\(346\) | −3.66400 | − | 0.208841i | −0.196978 | − | 0.0112274i | ||||
\(347\) | −2.33324 | + | 14.7315i | −0.125255 | + | 0.790830i | 0.842456 | + | 0.538766i | \(0.181109\pi\) |
−0.967711 | + | 0.252064i | \(0.918891\pi\) | |||||||
\(348\) | 3.14635 | + | 0.874006i | 0.168662 | + | 0.0468517i | ||||
\(349\) | 8.09332i | 0.433226i | 0.976258 | + | 0.216613i | \(0.0695009\pi\) | ||||
−0.976258 | + | 0.216613i | \(0.930499\pi\) | |||||||
\(350\) | 6.32249 | − | 36.4811i | 0.337951 | − | 1.95000i | ||||
\(351\) | 5.20778i | 0.277971i | ||||||||
\(352\) | 1.52384 | + | 1.43656i | 0.0812211 | + | 0.0765687i | ||||
\(353\) | 1.12096 | − | 7.07744i | 0.0596625 | − | 0.376694i | −0.939732 | − | 0.341911i | \(-0.888926\pi\) |
0.999395 | − | 0.0347832i | \(-0.0110741\pi\) | |||||||
\(354\) | −0.345115 | + | 6.05485i | −0.0183427 | + | 0.321812i | ||||
\(355\) | 9.46593 | + | 10.6187i | 0.502399 | + | 0.563583i | ||||
\(356\) | −10.5761 | + | 23.1809i | −0.560531 | + | 1.22858i | ||||
\(357\) | 3.67716 | + | 3.67716i | 0.194616 | + | 0.194616i | ||||
\(358\) | −2.11557 | + | 3.62586i | −0.111812 | + | 0.191633i | ||||
\(359\) | −6.08656 | + | 18.7325i | −0.321237 | + | 0.988665i | 0.651874 | + | 0.758327i | \(0.273983\pi\) |
−0.973111 | + | 0.230337i | \(0.926017\pi\) | |||||||
\(360\) | −3.26416 | + | 5.41712i | −0.172037 | + | 0.285508i | ||||
\(361\) | −3.35246 | − | 10.3178i | −0.176445 | − | 0.543043i | ||||
\(362\) | −17.8499 | − | 3.87958i | −0.938170 | − | 0.203906i | ||||
\(363\) | −9.67895 | + | 4.93167i | −0.508013 | + | 0.258846i | ||||
\(364\) | −47.4781 | + | 26.8351i | −2.48853 | + | 1.40654i | ||||
\(365\) | −28.1138 | − | 10.9526i | −1.47154 | − | 0.573286i | ||||
\(366\) | 6.59820 | + | 10.2629i | 0.344893 | + | 0.536448i | ||||
\(367\) | −1.14434 | + | 0.181246i | −0.0597341 | + | 0.00946095i | −0.186230 | − | 0.982506i | \(-0.559627\pi\) |
0.126496 | + | 0.991967i | \(0.459627\pi\) | |||||||
\(368\) | −26.2181 | − | 10.6188i | −1.36671 | − | 0.553545i | ||||
\(369\) | 1.82415 | − | 2.51073i | 0.0949615 | − | 0.130703i | ||||
\(370\) | 7.41527 | − | 11.1832i | 0.385502 | − | 0.581388i | ||||
\(371\) | −13.4849 | − | 18.5603i | −0.700100 | − | 0.963605i | ||||
\(372\) | 0.575684 | + | 13.3157i | 0.0298478 | + | 0.690387i | ||||
\(373\) | −5.06396 | − | 2.58022i | −0.262202 | − | 0.133599i | 0.317948 | − | 0.948108i | \(-0.397006\pi\) |
−0.580150 | + | 0.814509i | \(0.697006\pi\) | |||||||
\(374\) | 0.402594 | + | 0.329076i | 0.0208176 | + | 0.0170161i | ||||
\(375\) | 11.0676 | − | 1.58403i | 0.571526 | − | 0.0817988i | ||||
\(376\) | 13.0836 | + | 6.89432i | 0.674736 | + | 0.355547i | ||||
\(377\) | −3.86027 | + | 7.57621i | −0.198814 | + | 0.390195i | ||||
\(378\) | 5.52560 | − | 4.92967i | 0.284206 | − | 0.253555i | ||||
\(379\) | −21.0848 | + | 15.3190i | −1.08305 | + | 0.786883i | −0.978213 | − | 0.207606i | \(-0.933433\pi\) |
−0.104840 | + | 0.994489i | \(0.533433\pi\) | |||||||
\(380\) | 12.1977 | − | 3.77362i | 0.625729 | − | 0.193583i | ||||
\(381\) | −10.6291 | − | 7.72251i | −0.544547 | − | 0.395636i | ||||
\(382\) | −22.4259 | + | 2.25334i | −1.14741 | + | 0.115291i | ||||
\(383\) | −2.36387 | − | 14.9249i | −0.120788 | − | 0.762627i | −0.971508 | − | 0.237007i | \(-0.923834\pi\) |
0.850720 | − | 0.525620i | \(-0.176166\pi\) | |||||||
\(384\) | 10.4270 | + | 4.39071i | 0.532099 | + | 0.224063i | ||||
\(385\) | −1.57347 | + | 4.03887i | −0.0801914 | + | 0.205840i | ||||
\(386\) | −4.86826 | + | 12.5108i | −0.247788 | + | 0.636784i | ||||
\(387\) | −0.194497 | − | 0.381723i | −0.00988686 | − | 0.0194040i | ||||
\(388\) | 17.2976 | − | 13.7471i | 0.878151 | − | 0.697901i | ||||
\(389\) | 14.4497 | − | 4.69499i | 0.732628 | − | 0.238045i | 0.0811383 | − | 0.996703i | \(-0.474144\pi\) |
0.651489 | + | 0.758658i | \(0.274144\pi\) | |||||||
\(390\) | −12.1326 | − | 11.1359i | −0.614361 | − | 0.563890i | ||||
\(391\) | −6.67959 | − | 2.17033i | −0.337801 | − | 0.109758i | ||||
\(392\) | 54.6712 | + | 18.5974i | 2.76131 | + | 0.939310i | ||||
\(393\) | 11.5914 | − | 11.5914i | 0.584709 | − | 0.584709i | ||||
\(394\) | 27.8518 | − | 7.32640i | 1.40315 | − | 0.369099i | ||||
\(395\) | 14.8028 | − | 13.1957i | 0.744808 | − | 0.663950i | ||||
\(396\) | 0.500454 | − | 0.545682i | 0.0251488 | − | 0.0274216i | ||||
\(397\) | −7.85952 | − | 1.24483i | −0.394458 | − | 0.0624760i | −0.0439452 | − | 0.999034i | \(-0.513993\pi\) |
−0.350513 | + | 0.936558i | \(0.613993\pi\) | |||||||
\(398\) | −6.00561 | + | 2.64100i | −0.301034 | + | 0.132381i | ||||
\(399\) | −14.9493 | −0.748400 | ||||||||
\(400\) | −5.64051 | − | 19.1881i | −0.282026 | − | 0.959407i | ||||
\(401\) | 17.5609 | 0.876951 | 0.438476 | − | 0.898743i | \(-0.355519\pi\) | ||||
0.438476 | + | 0.898743i | \(0.355519\pi\) | |||||||
\(402\) | −5.41429 | + | 2.38097i | −0.270040 | + | 0.118752i | ||||
\(403\) | −34.2778 | − | 5.42907i | −1.70750 | − | 0.270441i | ||||
\(404\) | −3.59967 | + | 3.92499i | −0.179090 | + | 0.195275i | ||||
\(405\) | 1.93091 | + | 1.12765i | 0.0959475 | + | 0.0560335i | ||||
\(406\) | 11.6927 | − | 3.07576i | 0.580298 | − | 0.152647i | ||||
\(407\) | −1.11079 | + | 1.11079i | −0.0550598 | + | 0.0550598i | ||||
\(408\) | 2.65942 | + | 0.904649i | 0.131661 | + | 0.0447868i | ||||
\(409\) | 19.3261 | + | 6.27944i | 0.955615 | + | 0.310498i | 0.744995 | − | 0.667070i | \(-0.232452\pi\) |
0.210620 | + | 0.977568i | \(0.432452\pi\) | |||||||
\(410\) | 1.94865 | + | 9.61850i | 0.0962372 | + | 0.475024i | ||||
\(411\) | −9.82969 | + | 3.19386i | −0.484863 | + | 0.157542i | ||||
\(412\) | 6.16126 | − | 4.89659i | 0.303543 | − | 0.241238i | ||||
\(413\) | 10.1941 | + | 20.0071i | 0.501619 | + | 0.984483i | ||||
\(414\) | −3.62670 | + | 9.32017i | −0.178243 | + | 0.458061i | ||||
\(415\) | −3.90312 | − | 14.8619i | −0.191597 | − | 0.729543i | ||||
\(416\) | −16.6060 | + | 24.3334i | −0.814177 | + | 1.19304i | ||||
\(417\) | −0.0370079 | − | 0.233659i | −0.00181228 | − | 0.0114423i | ||||
\(418\) | −1.48728 | + | 0.149441i | −0.0727454 | + | 0.00730940i | ||||
\(419\) | −28.1350 | − | 20.4413i | −1.37449 | − | 0.998623i | −0.997372 | − | 0.0724564i | \(-0.976916\pi\) |
−0.377115 | − | 0.926166i | \(-0.623084\pi\) | |||||||
\(420\) | −0.330800 | + | 23.4143i | −0.0161414 | + | 1.14250i | ||||
\(421\) | 18.7080 | − | 13.5921i | 0.911770 | − | 0.662440i | −0.0296918 | − | 0.999559i | \(-0.509453\pi\) |
0.941462 | + | 0.337119i | \(0.109453\pi\) | |||||||
\(422\) | 0.297292 | − | 0.265229i | 0.0144719 | − | 0.0129112i | ||||
\(423\) | 2.37377 | − | 4.65879i | 0.115417 | − | 0.226518i | ||||
\(424\) | −10.9636 | − | 5.77721i | −0.532442 | − | 0.280566i | ||||
\(425\) | −1.73337 | − | 4.65343i | −0.0840810 | − | 0.225725i | ||||
\(426\) | −6.96593 | − | 5.69388i | −0.337500 | − | 0.275869i | ||||
\(427\) | 40.2502 | + | 20.5085i | 1.94784 | + | 0.992475i | ||||
\(428\) | −0.0292152 | − | 0.675754i | −0.00141217 | − | 0.0326638i | ||||
\(429\) | 1.13324 | + | 1.55977i | 0.0547132 | + | 0.0753062i | ||||
\(430\) | 1.30520 | + | 0.363123i | 0.0629425 | + | 0.0175114i | ||||
\(431\) | 11.8267 | − | 16.2780i | 0.569670 | − | 0.784083i | −0.422846 | − | 0.906202i | \(-0.638969\pi\) |
0.992516 | + | 0.122118i | \(0.0389687\pi\) | |||||||
\(432\) | 1.50159 | − | 3.70746i | 0.0722453 | − | 0.178375i | ||||
\(433\) | 5.40084 | − | 0.855409i | 0.259548 | − | 0.0411083i | −0.0253044 | − | 0.999680i | \(-0.508056\pi\) |
0.284852 | + | 0.958571i | \(0.408056\pi\) | |||||||
\(434\) | 26.6868 | + | 41.5088i | 1.28101 | + | 1.99248i | ||||
\(435\) | 1.97318 | + | 3.07178i | 0.0946069 | + | 0.147280i | ||||
\(436\) | 20.9219 | − | 11.8252i | 1.00198 | − | 0.566326i | ||||
\(437\) | 17.9894 | − | 9.16607i | 0.860551 | − | 0.438472i | ||||
\(438\) | 18.6470 | + | 4.05283i | 0.890989 | + | 0.193652i | ||||
\(439\) | −8.72231 | − | 26.8445i | −0.416293 | − | 1.28122i | −0.911089 | − | 0.412209i | \(-0.864757\pi\) |
0.494796 | − | 0.869009i | \(-0.335243\pi\) | |||||||
\(440\) | 0.201151 | + | 2.33276i | 0.00958949 | + | 0.111210i | ||||
\(441\) | 6.30917 | − | 19.4176i | 0.300437 | − | 0.924649i | ||||
\(442\) | −3.68621 | + | 6.31776i | −0.175335 | + | 0.300505i | ||||
\(443\) | −9.60281 | − | 9.60281i | −0.456243 | − | 0.456243i | 0.441177 | − | 0.897420i | \(-0.354561\pi\) |
−0.897420 | + | 0.441177i | \(0.854561\pi\) | |||||||
\(444\) | −3.52258 | + | 7.72086i | −0.167174 | + | 0.366416i | ||||
\(445\) | −26.0815 | + | 11.4571i | −1.23638 | + | 0.543119i | ||||
\(446\) | −0.654114 | + | 11.4761i | −0.0309732 | + | 0.543407i | ||||
\(447\) | 2.95731 | − | 18.6717i | 0.139876 | − | 0.883142i | ||||
\(448\) | 41.5375 | − | 5.41444i | 1.96246 | − | 0.255808i | ||||
\(449\) | 6.32437i | 0.298465i | 0.988802 | + | 0.149233i | \(0.0476803\pi\) | ||||
−0.988802 | + | 0.149233i | \(0.952320\pi\) | |||||||
\(450\) | −6.75601 | + | 2.08718i | −0.318481 | + | 0.0983905i | ||||
\(451\) | − | 1.14892i | − | 0.0541007i | ||||||
\(452\) | −26.2539 | − | 7.29291i | −1.23488 | − | 0.343030i | ||||
\(453\) | −1.17986 | + | 7.44934i | −0.0554346 | + | 0.350001i | ||||
\(454\) | 33.8552 | + | 1.92968i | 1.58890 | + | 0.0905644i | ||||
\(455\) | −59.5781 | − | 12.9738i | −2.79306 | − | 0.608220i | ||||
\(456\) | −7.24476 | + | 3.56696i | −0.339267 | + | 0.167038i | ||||
\(457\) | 23.2984 | + | 23.2984i | 1.08985 | + | 1.08985i | 0.995543 | + | 0.0943089i | \(0.0300641\pi\) |
0.0943089 | + | 0.995543i | \(0.469936\pi\) | |||||||
\(458\) | 0.431190 | + | 0.251586i | 0.0201482 | + | 0.0117558i | ||||
\(459\) | 0.306902 | − | 0.944549i | 0.0143250 | − | 0.0440878i | ||||
\(460\) | −13.9583 | − | 28.3787i | −0.650807 | − | 1.32316i | ||||
\(461\) | −6.71640 | − | 20.6710i | −0.312814 | − | 0.962743i | −0.976645 | − | 0.214860i | \(-0.931071\pi\) |
0.663831 | − | 0.747883i | \(-0.268929\pi\) | |||||||
\(462\) | 0.582236 | − | 2.67886i | 0.0270881 | − | 0.124632i | ||||
\(463\) | 4.31937 | − | 2.20083i | 0.200738 | − | 0.102281i | −0.350732 | − | 0.936476i | \(-0.614067\pi\) |
0.551470 | + | 0.834195i | \(0.314067\pi\) | |||||||
\(464\) | 4.93264 | − | 4.28050i | 0.228992 | − | 0.198717i | ||||
\(465\) | −9.43519 | + | 11.5337i | −0.437546 | + | 0.534863i | ||||
\(466\) | −26.6867 | + | 17.1574i | −1.23624 | + | 0.794802i | ||||
\(467\) | 32.7718 | − | 5.19055i | 1.51650 | − | 0.240190i | 0.658006 | − | 0.753013i | \(-0.271400\pi\) |
0.858495 | + | 0.512823i | \(0.171400\pi\) | |||||||
\(468\) | 8.68294 | + | 5.75244i | 0.401369 | + | 0.265907i | ||||
\(469\) | −12.8720 | + | 17.7167i | −0.594372 | + | 0.818083i | ||||
\(470\) | 5.77776 | + | 15.4922i | 0.266508 | + | 0.714602i | ||||
\(471\) | 4.61344 | + | 6.34986i | 0.212576 | + | 0.292586i | ||||
\(472\) | 9.71405 | + | 7.26352i | 0.447125 | + | 0.334330i | ||||
\(473\) | −0.141318 | − | 0.0720050i | −0.00649780 | − | 0.00331079i | ||||
\(474\) | −7.93741 | + | 9.71068i | −0.364577 | + | 0.446026i | ||||
\(475\) | 12.9826 | + | 5.93567i | 0.595683 | + | 0.272347i | ||||
\(476\) | 10.1927 | − | 2.06919i | 0.467180 | − | 0.0948412i | ||||
\(477\) | −1.98914 | + | 3.90391i | −0.0910766 | + | 0.178748i | ||||
\(478\) | −26.9340 | − | 30.1900i | −1.23193 | − | 1.38086i | ||||
\(479\) | −24.0616 | + | 17.4817i | −1.09940 | + | 0.798761i | −0.980962 | − | 0.194200i | \(-0.937789\pi\) |
−0.118439 | + | 0.992961i | \(0.537789\pi\) | |||||||
\(480\) | 5.42643 | + | 11.4260i | 0.247681 | + | 0.521524i | ||||
\(481\) | −17.8776 | − | 12.9888i | −0.815146 | − | 0.592238i | ||||
\(482\) | 0.159143 | + | 1.58384i | 0.00724879 | + | 0.0721421i | ||||
\(483\) | 5.79251 | + | 36.5725i | 0.263568 | + | 1.66411i | ||||
\(484\) | −2.46865 | + | 21.5852i | −0.112211 | + | 0.981145i | ||||
\(485\) | 24.6623 | + | 1.41553i | 1.11986 | + | 0.0642761i | ||||
\(486\) | −1.31795 | − | 0.512846i | −0.0597834 | − | 0.0232632i | ||||
\(487\) | −17.4506 | − | 34.2488i | −0.790764 | − | 1.55196i | −0.833270 | − | 0.552866i | \(-0.813534\pi\) |
0.0425064 | − | 0.999096i | \(-0.486466\pi\) | |||||||
\(488\) | 24.3995 | + | 0.335027i | 1.10452 | + | 0.0151659i | ||||
\(489\) | 9.07483 | − | 2.94859i | 0.410378 | − | 0.133340i | ||||
\(490\) | 31.7465 | + | 56.2197i | 1.43416 | + | 2.53975i | ||||
\(491\) | 5.04088 | + | 1.63788i | 0.227492 | + | 0.0739166i | 0.420545 | − | 0.907272i | \(-0.361839\pi\) |
−0.193053 | + | 0.981188i | \(0.561839\pi\) | |||||||
\(492\) | −2.17121 | − | 5.81472i | −0.0978856 | − | 0.262148i | ||||
\(493\) | 1.14662 | − | 1.14662i | 0.0516413 | − | 0.0516413i | ||||
\(494\) | −5.34920 | − | 20.3353i | −0.240672 | − | 0.914928i | ||||
\(495\) | 0.823702 | − | 0.0824344i | 0.0370226 | − | 0.00370515i | ||||
\(496\) | 22.8372 | + | 13.7485i | 1.02542 | + | 0.617326i | ||||
\(497\) | −32.9009 | − | 5.21099i | −1.47581 | − | 0.233745i | ||||
\(498\) | 3.91210 | + | 8.89607i | 0.175305 | + | 0.398642i | ||||
\(499\) | 24.3883 | 1.09177 | 0.545884 | − | 0.837861i | \(-0.316194\pi\) | ||||
0.545884 | + | 0.837861i | \(0.316194\pi\) | |||||||
\(500\) | 9.58402 | − | 20.2026i | 0.428610 | − | 0.903490i | ||||
\(501\) | −13.3732 | −0.597473 | ||||||||
\(502\) | 1.13904 | + | 2.59016i | 0.0508378 | + | 0.115605i | ||||
\(503\) | −23.5109 | − | 3.72375i | −1.04830 | − | 0.166034i | −0.391559 | − | 0.920153i | \(-0.628064\pi\) |
−0.656738 | + | 0.754119i | \(0.728064\pi\) | |||||||
\(504\) | −2.11574 | − | 14.6581i | −0.0942426 | − | 0.652922i | ||||
\(505\) | −5.92473 | + | 0.592935i | −0.263647 | + | 0.0263853i | ||||
\(506\) | 0.941887 | + | 3.58064i | 0.0418720 | + | 0.159179i | ||||
\(507\) | −9.98506 | + | 9.98506i | −0.443452 | + | 0.443452i | ||||
\(508\) | −24.6165 | + | 9.19177i | −1.09218 | + | 0.407819i | ||||
\(509\) | −23.6141 | − | 7.67268i | −1.04668 | − | 0.340086i | −0.265313 | − | 0.964162i | \(-0.585475\pi\) |
−0.781363 | + | 0.624077i | \(0.785475\pi\) | |||||||
\(510\) | 1.54427 | + | 2.73475i | 0.0683815 | + | 0.121097i | ||||
\(511\) | 67.1944 | − | 21.8328i | 2.97250 | − | 0.965825i | ||||
\(512\) | 18.8381 | − | 12.5350i | 0.832535 | − | 0.553973i | ||||
\(513\) | 1.29616 | + | 2.54385i | 0.0572267 | + | 0.112314i | ||||
\(514\) | −12.2606 | − | 4.77089i | −0.540791 | − | 0.210435i | ||||
\(515\) | 8.78453 | + | 0.504202i | 0.387093 | + | 0.0222178i | ||||
\(516\) | −0.851285 | − | 0.0973597i | −0.0374757 | − | 0.00428602i | ||||
\(517\) | −0.302812 | − | 1.91188i | −0.0133177 | − | 0.0840845i | ||||
\(518\) | 3.14135 | + | 31.2637i | 0.138023 | + | 1.37365i | ||||
\(519\) | 2.09944 | + | 1.52533i | 0.0921551 | + | 0.0669546i | ||||
\(520\) | −31.9685 | + | 7.92819i | −1.40191 | + | 0.347674i | ||||
\(521\) | −15.1720 | + | 11.0231i | −0.664697 | + | 0.482930i | −0.868246 | − | 0.496134i | \(-0.834752\pi\) |
0.203549 | + | 0.979065i | \(0.434752\pi\) | |||||||
\(522\) | −1.53719 | − | 1.72301i | −0.0672808 | − | 0.0754141i | ||||
\(523\) | −0.351650 | + | 0.690152i | −0.0153766 | + | 0.0301782i | −0.898567 | − | 0.438836i | \(-0.855391\pi\) |
0.883190 | + | 0.469015i | \(0.155391\pi\) | |||||||
\(524\) | −6.52266 | − | 32.1301i | −0.284944 | − | 1.40361i | ||||
\(525\) | −17.7109 | + | 19.2807i | −0.772967 | + | 0.841480i | ||||
\(526\) | 3.98875 | − | 4.87986i | 0.173918 | − | 0.212772i | ||||
\(527\) | 5.89710 | + | 3.00472i | 0.256882 | + | 0.130888i | ||||
\(528\) | −0.357022 | − | 1.43716i | −0.0155374 | − | 0.0625444i | ||||
\(529\) | −15.8756 | − | 21.8510i | −0.690245 | − | 0.950041i | ||||
\(530\) | −4.84157 | − | 12.9820i | −0.210304 | − | 0.563900i | ||||
\(531\) | 2.52065 | − | 3.46937i | 0.109387 | − | 0.150558i | ||||
\(532\) | −16.5128 | + | 24.9249i | −0.715919 | + | 1.08063i | ||||
\(533\) | 15.9630 | − | 2.52829i | 0.691435 | − | 0.109512i | ||||
\(534\) | 15.1549 | − | 9.74337i | 0.655815 | − | 0.421637i | ||||
\(535\) | 0.478823 | − | 0.585320i | 0.0207013 | − | 0.0253056i | ||||
\(536\) | −2.01076 | + | 11.6572i | −0.0868516 | + | 0.503515i | ||||
\(537\) | 2.64484 | − | 1.34761i | 0.114133 | − | 0.0581538i | ||||
\(538\) | 8.04809 | − | 37.0292i | 0.346978 | − | 1.59644i | ||||
\(539\) | −2.33572 | − | 7.18861i | −0.100607 | − | 0.309636i | ||||
\(540\) | 4.01299 | − | 1.97381i | 0.172691 | − | 0.0849394i | ||||
\(541\) | −3.92130 | + | 12.0685i | −0.168590 | + | 0.518866i | −0.999283 | − | 0.0378646i | \(-0.987944\pi\) |
0.830693 | + | 0.556731i | \(0.187944\pi\) | |||||||
\(542\) | −10.7872 | − | 6.29397i | −0.463348 | − | 0.270349i | ||||
\(543\) | 9.13332 | + | 9.13332i | 0.391948 | + | 0.391948i | ||||
\(544\) | 4.44588 | − | 3.43479i | 0.190615 | − | 0.147265i | ||||
\(545\) | 26.2539 | + | 5.71706i | 1.12459 | + | 0.244892i | ||||
\(546\) | 38.5011 | + | 2.19449i | 1.64769 | + | 0.0939155i | ||||
\(547\) | −2.48483 | + | 15.6886i | −0.106244 | + | 0.670797i | 0.875876 | + | 0.482537i | \(0.160285\pi\) |
−0.982119 | + | 0.188260i | \(0.939715\pi\) | |||||||
\(548\) | −5.53261 | + | 19.9169i | −0.236341 | + | 0.850810i | ||||
\(549\) | − | 8.62735i | − | 0.368206i | ||||||
\(550\) | −1.56929 | + | 2.09526i | −0.0669148 | + | 0.0893422i | ||||
\(551\) | 4.66154i | 0.198588i | ||||||||
\(552\) | 11.5335 | + | 16.3417i | 0.490899 | + | 0.695550i | ||||
\(553\) | −7.26425 | + | 45.8647i | −0.308907 | + | 1.95036i | ||||
\(554\) | 2.33690 | − | 40.9996i | 0.0992855 | − | 1.74191i | ||||
\(555\) | −8.68696 | + | 3.81603i | −0.368741 | + | 0.161981i | ||||
\(556\) | −0.430458 | − | 0.196393i | −0.0182555 | − | 0.00832890i | ||||
\(557\) | −27.0131 | − | 27.0131i | −1.14458 | − | 1.14458i | −0.987602 | − | 0.156979i | \(-0.949824\pi\) |
−0.156979 | − | 0.987602i | \(-0.550176\pi\) | |||||||
\(558\) | 4.74952 | − | 8.14014i | 0.201063 | − | 0.344600i | ||||
\(559\) | 0.689449 | − | 2.12191i | 0.0291606 | − | 0.0897471i | ||||
\(560\) | 38.6732 | + | 26.4146i | 1.63424 | + | 1.11622i | ||||
\(561\) | −0.113619 | − | 0.349682i | −0.00479698 | − | 0.0147636i | ||||
\(562\) | −6.11027 | − | 1.32804i | −0.257746 | − | 0.0560198i | ||||
\(563\) | −13.9788 | + | 7.12253i | −0.589134 | + | 0.300179i | −0.723030 | − | 0.690817i | \(-0.757251\pi\) |
0.133896 | + | 0.990995i | \(0.457251\pi\) | |||||||
\(564\) | −5.14557 | − | 9.10382i | −0.216667 | − | 0.383340i | ||||
\(565\) | −16.4647 | − | 25.6316i | −0.692675 | − | 1.07833i | ||||
\(566\) | −0.725239 | − | 1.12804i | −0.0304841 | − | 0.0474150i | ||||
\(567\) | −5.17165 | + | 0.819109i | −0.217189 | + | 0.0343993i | ||||
\(568\) | −17.1879 | + | 5.32492i | −0.721187 | + | 0.223429i | ||||
\(569\) | −14.3030 | + | 19.6864i | −0.599612 | + | 0.825296i | −0.995673 | − | 0.0929289i | \(-0.970377\pi\) |
0.396060 | + | 0.918224i | \(0.370377\pi\) | |||||||
\(570\) | −8.69805 | − | 2.41990i | −0.364321 | − | 0.101359i | ||||
\(571\) | −10.6807 | − | 14.7008i | −0.446975 | − | 0.615208i | 0.524769 | − | 0.851244i | \(-0.324152\pi\) |
−0.971744 | + | 0.236036i | \(0.924152\pi\) | |||||||
\(572\) | 3.85236 | − | 0.166551i | 0.161075 | − | 0.00696383i | ||||
\(573\) | 14.2003 | + | 7.23541i | 0.593225 | + | 0.302263i | ||||
\(574\) | −17.7931 | − | 14.5439i | −0.742670 | − | 0.607051i | ||||
\(575\) | 9.49078 | − | 34.0611i | 0.395793 | − | 1.42044i | ||||
\(576\) | −4.52281 | − | 6.59880i | −0.188450 | − | 0.274950i | ||||
\(577\) | −15.2366 | + | 29.9035i | −0.634308 | + | 1.24490i | 0.320380 | + | 0.947289i | \(0.396189\pi\) |
−0.954688 | + | 0.297610i | \(0.903811\pi\) | |||||||
\(578\) | −16.8990 | + | 15.0764i | −0.702904 | + | 0.627096i | ||||
\(579\) | 7.67971 | − | 5.57963i | 0.319158 | − | 0.231882i | ||||
\(580\) | 7.30112 | + | 0.103151i | 0.303163 | + | 0.00428313i | ||||
\(581\) | 29.1099 | + | 21.1496i | 1.20768 | + | 0.877431i | ||||
\(582\) | −15.5452 | + | 1.56197i | −0.644370 | + | 0.0647458i | ||||
\(583\) | 0.253747 | + | 1.60209i | 0.0105091 | + | 0.0663520i | ||||
\(584\) | 27.3545 | − | 26.6135i | 1.13194 | − | 1.10127i | ||||
\(585\) | 2.95795 | + | 11.2630i | 0.122296 | + | 0.465668i | ||||
\(586\) | −9.50083 | + | 24.4159i | −0.392476 | + | 1.00861i | ||||
\(587\) | 6.48594 | + | 12.7294i | 0.267703 | + | 0.525397i | 0.985252 | − | 0.171111i | \(-0.0547358\pi\) |
−0.717548 | + | 0.696509i | \(0.754736\pi\) | |||||||
\(588\) | −25.4060 | − | 31.9677i | −1.04773 | − | 1.31833i | ||||
\(589\) | −18.0949 | + | 5.87940i | −0.745589 | + | 0.242257i | ||||
\(590\) | 2.69269 | + | 13.2910i | 0.110856 | + | 0.547183i | ||||
\(591\) | −19.3674 | − | 6.29287i | −0.796670 | − | 0.258854i | ||||
\(592\) | 8.98201 | + | 14.4016i | 0.369158 | + | 0.591900i | ||||
\(593\) | −1.73642 | + | 1.73642i | −0.0713063 | + | 0.0713063i | −0.741861 | − | 0.670554i | \(-0.766056\pi\) |
0.670554 | + | 0.741861i | \(0.266056\pi\) | |||||||
\(594\) | −0.506332 | + | 0.133191i | −0.0207751 | + | 0.00546488i | ||||
\(595\) | 10.0413 | + | 5.86411i | 0.411652 | + | 0.240405i | ||||
\(596\) | −27.8648 | − | 25.5552i | −1.14139 | − | 1.04678i | ||||
\(597\) | 4.58197 | + | 0.725713i | 0.187528 | + | 0.0297015i | ||||
\(598\) | −47.6763 | + | 20.9659i | −1.94963 | + | 0.857361i | ||||
\(599\) | −4.92161 | −0.201092 | −0.100546 | − | 0.994932i | \(-0.532059\pi\) | ||||
−0.100546 | + | 0.994932i | \(0.532059\pi\) | |||||||
\(600\) | −3.98264 | + | 13.5698i | −0.162591 | + | 0.553983i | ||||
\(601\) | −21.9172 | −0.894020 | −0.447010 | − | 0.894529i | \(-0.647511\pi\) | ||||
−0.447010 | + | 0.894529i | \(0.647511\pi\) | |||||||
\(602\) | −2.90403 | + | 1.27706i | −0.118359 | + | 0.0520492i | ||||
\(603\) | 4.13082 | + | 0.654258i | 0.168220 | + | 0.0266435i | ||||
\(604\) | 11.1170 | + | 10.1956i | 0.452346 | + | 0.414854i | ||||
\(605\) | −18.1318 | + | 16.1634i | −0.737163 | + | 0.657135i | ||||
\(606\) | 3.64195 | − | 0.958014i | 0.147944 | − | 0.0389167i | ||||
\(607\) | −24.0001 | + | 24.0001i | −0.974133 | + | 0.974133i | −0.999674 | − | 0.0255408i | \(-0.991869\pi\) |
0.0255408 | + | 0.999674i | \(0.491869\pi\) | |||||||
\(608\) | −2.05527 | + | 16.0192i | −0.0833520 | + | 0.649664i | ||||
\(609\) | −8.13081 | − | 2.64186i | −0.329477 | − | 0.107054i | ||||
\(610\) | 20.0993 | + | 18.4481i | 0.813796 | + | 0.746941i | ||||
\(611\) | 25.8971 | − | 8.41448i | 1.04769 | − | 0.340414i | ||||
\(612\) | −1.23585 | − | 1.55503i | −0.0499561 | − | 0.0628585i | ||||
\(613\) | −8.12093 | − | 15.9382i | −0.328001 | − | 0.643738i | 0.666838 | − | 0.745203i | \(-0.267647\pi\) |
−0.994839 | + | 0.101464i | \(0.967647\pi\) | |||||||
\(614\) | −9.54544 | + | 24.5306i | −0.385223 | + | 0.989973i | ||||
\(615\) | 2.51908 | − | 6.46611i | 0.101579 | − | 0.260739i | ||||
\(616\) | −3.82334 | − | 3.92979i | −0.154047 | − | 0.158336i | ||||
\(617\) | −5.91551 | − | 37.3491i | −0.238150 | − | 1.50362i | −0.759631 | − | 0.650354i | \(-0.774620\pi\) |
0.521482 | − | 0.853263i | \(-0.325380\pi\) | |||||||
\(618\) | −5.53709 | + | 0.556362i | −0.222734 | + | 0.0223802i | ||||
\(619\) | −17.2330 | − | 12.5205i | −0.692654 | − | 0.503243i | 0.184877 | − | 0.982762i | \(-0.440811\pi\) |
−0.877532 | + | 0.479519i | \(0.840811\pi\) | |||||||
\(620\) | 8.80820 | + | 28.4713i | 0.353746 | + | 1.14343i | ||||
\(621\) | 5.72114 | − | 4.15665i | 0.229582 | − | 0.166801i | ||||
\(622\) | 22.1138 | − | 19.7289i | 0.886684 | − | 0.791056i | ||||
\(623\) | 30.2843 | − | 59.4362i | 1.21331 | − | 2.38126i | ||||
\(624\) | 19.1821 | − | 8.12301i | 0.767899 | − | 0.325180i | ||||
\(625\) | 23.0364 | − | 9.71205i | 0.921456 | − | 0.388482i | ||||
\(626\) | −16.4024 | − | 13.4072i | −0.655572 | − | 0.535858i | ||||
\(627\) | 0.941761 | + | 0.479851i | 0.0376103 | + | 0.0191634i | ||||
\(628\) | 15.6831 | − | 0.678033i | 0.625822 | − | 0.0270565i | ||||
\(629\) | 2.47705 | + | 3.40936i | 0.0987663 | + | 0.135940i | ||||
\(630\) | 9.15037 | − | 13.8000i | 0.364560 | − | 0.549805i | ||||
\(631\) | 4.06255 | − | 5.59161i | 0.161727 | − | 0.222599i | −0.720461 | − | 0.693496i | \(-0.756070\pi\) |
0.882188 | + | 0.470897i | \(0.156070\pi\) | |||||||
\(632\) | 7.42307 | + | 23.9603i | 0.295274 | + | 0.953091i | ||||
\(633\) | −0.278249 | + | 0.0440703i | −0.0110594 | + | 0.00175164i | ||||
\(634\) | −0.512742 | − | 0.797520i | −0.0203636 | − | 0.0316736i | ||||
\(635\) | −27.3742 | − | 10.6645i | −1.08631 | − | 0.423207i | ||||
\(636\) | 4.31182 | + | 7.62870i | 0.170975 | + | 0.302498i | ||||
\(637\) | 94.7379 | − | 48.2714i | 3.75365 | − | 1.91258i | ||||
\(638\) | −0.835332 | − | 0.181555i | −0.0330711 | − | 0.00718783i | ||||
\(639\) | 1.96590 | + | 6.05041i | 0.0777697 | + | 0.239350i | ||||
\(640\) | 25.0446 | + | 3.57353i | 0.989973 | + | 0.141256i | ||||
\(641\) | −0.733499 | + | 2.25748i | −0.0289715 | + | 0.0891650i | −0.964497 | − | 0.264095i | \(-0.914927\pi\) |
0.935525 | + | 0.353260i | \(0.114927\pi\) | |||||||
\(642\) | −0.241031 | + | 0.413101i | −0.00951275 | + | 0.0163038i | ||||
\(643\) | −4.36401 | − | 4.36401i | −0.172100 | − | 0.172100i | 0.615801 | − | 0.787901i | \(-0.288832\pi\) |
−0.787901 | + | 0.615801i | \(0.788832\pi\) | |||||||
\(644\) | 67.3756 | + | 30.7396i | 2.65497 | + | 1.21131i | ||||
\(645\) | −0.637458 | − | 0.715090i | −0.0250999 | − | 0.0281566i | ||||
\(646\) | −0.228192 | + | 4.00350i | −0.00897809 | + | 0.157516i | ||||
\(647\) | −6.93647 | + | 43.7951i | −0.272701 | + | 1.72176i | 0.347809 | + | 0.937565i | \(0.386926\pi\) |
−0.620510 | + | 0.784199i | \(0.713074\pi\) | |||||||
\(648\) | −2.31086 | + | 1.63093i | −0.0907790 | + | 0.0640692i | ||||
\(649\) | − | 1.58760i | − | 0.0623189i | ||||||
\(650\) | −32.5647 | − | 17.1928i | −1.27729 | − | 0.674357i | ||||
\(651\) | − | 34.8939i | − | 1.36760i | ||||||
\(652\) | 5.10774 | − | 18.3874i | 0.200034 | − | 0.720107i | ||||
\(653\) | 3.85995 | − | 24.3708i | 0.151052 | − | 0.953702i | −0.789426 | − | 0.613846i | \(-0.789622\pi\) |
0.940477 | − | 0.339856i | \(-0.110378\pi\) | |||||||
\(654\) | −16.9660 | − | 0.967030i | −0.663423 | − | 0.0378139i | ||||
\(655\) | 18.4853 | − | 31.6528i | 0.722280 | − | 1.23678i | ||||
\(656\) | −12.0932 | − | 2.80280i | −0.472159 | − | 0.109431i | ||||
\(657\) | −9.54119 | − | 9.54119i | −0.372237 | − | 0.372237i | ||||
\(658\) | −33.4421 | − | 19.5124i | −1.30371 | − | 0.760673i | ||||
\(659\) | 2.24945 | − | 6.92309i | 0.0876260 | − | 0.269685i | −0.897636 | − | 0.440738i | \(-0.854717\pi\) |
0.985262 | + | 0.171053i | \(0.0547168\pi\) | |||||||
\(660\) | 0.772406 | − | 1.46441i | 0.0300659 | − | 0.0570022i | ||||
\(661\) | −4.69519 | − | 14.4503i | −0.182622 | − | 0.562052i | 0.817277 | − | 0.576244i | \(-0.195482\pi\) |
−0.999899 | + | 0.0141920i | \(0.995482\pi\) | |||||||
\(662\) | 8.91041 | − | 40.9967i | 0.346313 | − | 1.59338i | ||||
\(663\) | 4.60842 | − | 2.34811i | 0.178976 | − | 0.0911929i | ||||
\(664\) | 19.1537 | + | 3.30382i | 0.743306 | + | 0.128213i | ||||
\(665\) | −32.3312 | + | 8.49099i | −1.25375 | + | 0.329267i | ||||
\(666\) | 5.04764 | − | 3.24523i | 0.195592 | − | 0.125750i | ||||
\(667\) | 11.4042 | − | 1.80624i | 0.441571 | − | 0.0699379i | ||||
\(668\) | −14.7719 | + | 22.2972i | −0.571542 | + | 0.862705i | ||||
\(669\) | 4.77750 | − | 6.57566i | 0.184709 | − | 0.254230i | ||||
\(670\) | −10.3573 | + | 8.22462i | −0.400136 | + | 0.317745i | ||||
\(671\) | −1.87735 | − | 2.58395i | −0.0724743 | − | 0.0997523i | ||||
\(672\) | −26.7764 | − | 12.6635i | −1.03292 | − | 0.488506i | ||||
\(673\) | −2.83209 | − | 1.44302i | −0.109169 | − | 0.0556245i | 0.398553 | − | 0.917145i | \(-0.369512\pi\) |
−0.507722 | + | 0.861521i | \(0.669512\pi\) | |||||||
\(674\) | 15.3910 | − | 18.8294i | 0.592839 | − | 0.725283i | ||||
\(675\) | 4.81652 | + | 1.34207i | 0.185388 | + | 0.0516565i | ||||
\(676\) | 5.61874 | + | 27.6775i | 0.216106 | + | 1.06452i | ||||
\(677\) | 18.1131 | − | 35.5491i | 0.696145 | − | 1.36626i | −0.223964 | − | 0.974597i | \(-0.571900\pi\) |
0.920108 | − | 0.391664i | \(-0.128100\pi\) | |||||||
\(678\) | 12.8266 | + | 14.3772i | 0.492604 | + | 0.552153i | ||||
\(679\) | −46.7983 | + | 34.0010i | −1.79595 | + | 1.30484i | ||||
\(680\) | 6.26542 | + | 0.445995i | 0.240268 | + | 0.0171031i | ||||
\(681\) | −19.3987 | − | 14.0940i | −0.743358 | − | 0.540081i | ||||
\(682\) | −0.348818 | − | 3.47154i | −0.0133569 | − | 0.132932i | ||||
\(683\) | 5.05528 | + | 31.9178i | 0.193435 | + | 1.22130i | 0.873013 | + | 0.487697i | \(0.162163\pi\) |
−0.679578 | + | 0.733603i | \(0.737837\pi\) | |||||||
\(684\) | 5.67308 | + | 0.648818i | 0.216916 | + | 0.0248082i | ||||
\(685\) | −19.4449 | + | 12.4906i | −0.742951 | + | 0.477241i | ||||
\(686\) | −92.5891 | − | 36.0287i | −3.53507 | − | 1.37558i | ||||
\(687\) | −0.160259 | − | 0.314527i | −0.00611427 | − | 0.0119999i | ||||
\(688\) | −1.10264 | + | 1.31181i | −0.0420379 | + | 0.0500121i | ||||
\(689\) | −21.7009 | + | 7.05106i | −0.826740 | + | 0.268624i | ||||
\(690\) | −2.54984 | + | 22.2169i | −0.0970708 | + | 0.845783i | ||||
\(691\) | −2.35753 | − | 0.766009i | −0.0896848 | − | 0.0291404i | 0.263831 | − | 0.964569i | \(-0.415014\pi\) |
−0.353516 | + | 0.935429i | \(0.615014\pi\) | |||||||
\(692\) | 4.86219 | − | 1.81553i | 0.184833 | − | 0.0690163i | ||||
\(693\) | −1.37070 | + | 1.37070i | −0.0520687 | + | 0.0520687i | ||||
\(694\) | −5.36602 | − | 20.3993i | −0.203691 | − | 0.774345i | ||||
\(695\) | −0.212753 | − | 0.484320i | −0.00807018 | − | 0.0183713i | ||||
\(696\) | −4.57073 | + | 0.659738i | −0.173253 | + | 0.0250073i | ||||
\(697\) | −3.04425 | − | 0.482161i | −0.115309 | − | 0.0182632i | ||||
\(698\) | −4.60748 | − | 10.4774i | −0.174396 | − | 0.396574i | ||||
\(699\) | 22.4339 | 0.848527 | ||||||||
\(700\) | 12.5836 | + | 50.8266i | 0.475614 | + | 1.92107i | ||||
\(701\) | −9.19901 | −0.347442 | −0.173721 | − | 0.984795i | \(-0.555579\pi\) | ||||
−0.173721 | + | 0.984795i | \(0.555579\pi\) | |||||||
\(702\) | −2.96476 | − | 6.74183i | −0.111898 | − | 0.254454i | ||||
\(703\) | −11.9654 | − | 1.89514i | −0.451285 | − | 0.0714765i | ||||
\(704\) | −2.79054 | − | 0.992204i | −0.105172 | − | 0.0373951i | ||||
\(705\) | 2.48769 | − | 11.4240i | 0.0936918 | − | 0.430251i | ||||
\(706\) | 2.57799 | + | 9.80038i | 0.0970239 | + | 0.368842i | ||||
\(707\) | 9.85920 | − | 9.85920i | 0.370793 | − | 0.370793i | ||||
\(708\) | −3.00022 | − | 8.03489i | −0.112755 | − | 0.301970i | ||||
\(709\) | −24.6840 | − | 8.02031i | −0.927027 | − | 0.301209i | −0.193681 | − | 0.981065i | \(-0.562043\pi\) |
−0.733346 | + | 0.679855i | \(0.762043\pi\) | |||||||
\(710\) | −18.2995 | − | 8.35776i | −0.686766 | − | 0.313661i | ||||
\(711\) | 8.43442 | − | 2.74051i | 0.316316 | − | 0.102777i | ||||
\(712\) | 0.494724 | − | 36.0301i | 0.0185406 | − | 1.35028i | ||||
\(713\) | 21.3950 | + | 41.9900i | 0.801248 | + | 1.57254i | ||||
\(714\) | −6.85371 | − | 2.66695i | −0.256494 | − | 0.0998079i | ||||
\(715\) | 3.33681 | + | 2.72969i | 0.124790 | + | 0.102084i | ||||
\(716\) | 0.674576 | − | 5.89830i | 0.0252101 | − | 0.220430i | ||||
\(717\) | 4.47533 | + | 28.2561i | 0.167134 | + | 1.05524i | ||||
\(718\) | −2.78484 | − | 27.7156i | −0.103929 | − | 1.03434i | ||||
\(719\) | 8.69185 | + | 6.31500i | 0.324151 | + | 0.235510i | 0.737945 | − | 0.674861i | \(-0.235796\pi\) |
−0.413793 | + | 0.910371i | \(0.635796\pi\) | |||||||
\(720\) | 1.14175 | − | 8.87110i | 0.0425503 | − | 0.330606i | ||||
\(721\) | −16.6692 | + | 12.1109i | −0.620793 | + | 0.451033i | ||||
\(722\) | 10.2139 | + | 11.4486i | 0.380120 | + | 0.426072i | ||||
\(723\) | 0.511006 | − | 1.00291i | 0.0190045 | − | 0.0372984i | ||||
\(724\) | 25.3165 | − | 5.13946i | 0.940881 | − | 0.191006i | ||||
\(725\) | 6.01219 | + | 5.52267i | 0.223287 | + | 0.205107i | ||||
\(726\) | 9.72249 | − | 11.8946i | 0.360835 | − | 0.441448i | ||||
\(727\) | −20.3289 | − | 10.3581i | −0.753958 | − | 0.384161i | 0.0343757 | − | 0.999409i | \(-0.489056\pi\) |
−0.788333 | + | 0.615248i | \(0.789056\pi\) | |||||||
\(728\) | 46.1866 | − | 61.7688i | 1.71179 | − | 2.28931i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 42.6304 | − | 1.82609i | 1.57782 | − | 0.0675868i | ||||
\(731\) | −0.250094 | + | 0.344225i | −0.00925007 | + | 0.0127316i | ||||
\(732\) | −14.3844 | − | 9.52965i | −0.531662 | − | 0.352226i | ||||
\(733\) | 3.59155 | − | 0.568846i | 0.132657 | − | 0.0210108i | −0.0897528 | − | 0.995964i | \(-0.528608\pi\) |
0.222410 | + | 0.974953i | \(0.428608\pi\) | |||||||
\(734\) | 1.37824 | − | 0.886101i | 0.0508719 | − | 0.0327066i | ||||
\(735\) | 2.61606 | − | 45.5786i | 0.0964947 | − | 1.68119i | ||||
\(736\) | 39.9863 | − | 1.17900i | 1.47392 | − | 0.0434585i | ||||
\(737\) | 1.37958 | − | 0.702931i | 0.0508174 | − | 0.0258928i | ||||
\(738\) | −0.932144 | + | 4.28878i | −0.0343127 | + | 0.157872i | ||||
\(739\) | 7.22761 | + | 22.2443i | 0.265872 | + | 0.818269i | 0.991491 | + | 0.130173i | \(0.0415533\pi\) |
−0.725620 | + | 0.688096i | \(0.758447\pi\) | |||||||
\(740\) | −3.23303 | + | 18.6989i | −0.118849 | + | 0.687385i | ||||
\(741\) | −4.59458 | + | 14.1407i | −0.168786 | + | 0.519471i | ||||
\(742\) | 28.0234 | + | 16.3508i | 1.02877 | + | 0.600255i | ||||
\(743\) | −0.983008 | − | 0.983008i | −0.0360631 | − | 0.0360631i | 0.688845 | − | 0.724908i | \(-0.258118\pi\) |
−0.724908 | + | 0.688845i | \(0.758118\pi\) | |||||||
\(744\) | −8.32581 | − | 16.9104i | −0.305239 | − | 0.619964i | ||||
\(745\) | −4.20944 | − | 42.0616i | −0.154222 | − | 1.54102i | ||||
\(746\) | 8.02454 | + | 0.457384i | 0.293799 | + | 0.0167460i | ||||
\(747\) | 1.07499 | − | 6.78724i | 0.0393320 | − | 0.248332i | ||||
\(748\) | −0.708526 | − | 0.196817i | −0.0259063 | − | 0.00719636i | ||||
\(749\) | 1.77082i | 0.0647042i | ||||||||
\(750\) | −13.4259 | + | 8.35132i | −0.490245 | + | 0.304947i | ||||
\(751\) | − | 4.90529i | − | 0.178997i | −0.995987 | − | 0.0894983i | \(-0.971474\pi\) | ||
0.995987 | − | 0.0894983i | \(-0.0285264\pi\) | |||||||
\(752\) | −20.8625 | − | 1.47674i | −0.760778 | − | 0.0538512i | ||||
\(753\) | 0.312993 | − | 1.97616i | 0.0114061 | − | 0.0720153i | ||||
\(754\) | 0.684293 | − | 12.0055i | 0.0249205 | − | 0.437216i | ||||
\(755\) | 1.67941 | + | 16.7810i | 0.0611201 | + | 0.610725i | ||||
\(756\) | −4.34683 | + | 9.52747i | −0.158093 | + | 0.346511i | ||||
\(757\) | 7.38605 | + | 7.38605i | 0.268451 | + | 0.268451i | 0.828476 | − | 0.560025i | \(-0.189208\pi\) |
−0.560025 | + | 0.828476i | \(0.689208\pi\) | |||||||
\(758\) | 18.5747 | − | 31.8349i | 0.674662 | − | 1.15630i | ||||
\(759\) | 0.809015 | − | 2.48989i | 0.0293654 | − | 0.0903774i | ||||
\(760\) | −13.6425 | + | 11.8293i | −0.494864 | + | 0.429093i | ||||
\(761\) | −8.40625 | − | 25.8718i | −0.304726 | − | 0.937851i | −0.979779 | − | 0.200082i | \(-0.935879\pi\) |
0.675053 | − | 0.737769i | \(-0.264121\pi\) | |||||||
\(762\) | 18.1565 | + | 3.94622i | 0.657740 | + | 0.142956i | ||||
\(763\) | −56.0607 | + | 28.5644i | −2.02953 | + | 1.03410i | ||||
\(764\) | 27.7490 | − | 15.6840i | 1.00392 | − | 0.567428i | ||||
\(765\) | 0.127255 | − | 2.21712i | 0.00460092 | − | 0.0801601i | ||||
\(766\) | 11.5568 | + | 17.9756i | 0.417566 | + | 0.649483i | ||||
\(767\) | 22.0580 | − | 3.49364i | 0.796468 | − | 0.126148i | ||||
\(768\) | −15.9980 | + | 0.251934i | −0.577279 | + | 0.00909090i | ||||
\(769\) | 4.36004 | − | 6.00107i | 0.157227 | − | 0.216404i | −0.723135 | − | 0.690707i | \(-0.757300\pi\) |
0.880362 | + | 0.474302i | \(0.157300\pi\) | |||||||
\(770\) | −0.262340 | − | 6.12435i | −0.00945407 | − | 0.220706i | ||||
\(771\) | 5.46804 | + | 7.52611i | 0.196926 | + | 0.271046i | ||||
\(772\) | −0.820033 | − | 18.9676i | −0.0295136 | − | 0.682658i | ||||
\(773\) | −42.1935 | − | 21.4986i | −1.51759 | − | 0.773252i | −0.520831 | − | 0.853660i | \(-0.674378\pi\) |
−0.996762 | + | 0.0804076i | \(0.974378\pi\) | |||||||
\(774\) | 0.469102 | + | 0.383439i | 0.0168615 | + | 0.0137824i | ||||
\(775\) | −13.8547 | + | 30.3034i | −0.497677 | + | 1.08853i | ||||
\(776\) | −14.5667 | + | 27.6439i | −0.522916 | + | 0.992358i | ||||
\(777\) | 10.0868 | − | 19.7965i | 0.361862 | − | 0.710194i | ||||
\(778\) | −16.0333 | + | 14.3041i | −0.574820 | + | 0.512826i | ||||
\(779\) | 7.16821 | − | 5.20801i | 0.256828 | − | 0.186596i | ||||
\(780\) | 22.0461 | + | 7.50917i | 0.789379 | + | 0.268871i | ||||
\(781\) | 1.90539 | + | 1.38435i | 0.0681804 | + | 0.0495360i | ||||
\(782\) | 9.88273 | − | 0.993009i | 0.353406 | − | 0.0355099i | ||||
\(783\) | 0.255417 | + | 1.61264i | 0.00912787 | + | 0.0576311i | ||||
\(784\) | −81.3629 | + | 7.04837i | −2.90582 | + | 0.251728i | ||||
\(785\) | 13.5843 | + | 11.1126i | 0.484843 | + | 0.396627i | ||||
\(786\) | −8.40694 | + | 21.6048i | −0.299866 | + | 0.770617i | ||||
\(787\) | 0.667535 | + | 1.31011i | 0.0237950 | + | 0.0467004i | 0.902598 | − | 0.430484i | \(-0.141657\pi\) |
−0.878803 | + | 0.477185i | \(0.841657\pi\) | |||||||
\(788\) | −31.8851 | + | 25.3403i | −1.13586 | + | 0.902713i | ||||
\(789\) | −4.23851 | + | 1.37718i | −0.150895 | + | 0.0490288i | ||||
\(790\) | −11.6509 | + | 25.5099i | −0.414521 | + | 0.907601i | ||||
\(791\) | 67.8453 | + | 22.0443i | 2.41230 | + | 0.783805i | ||||
\(792\) | −0.337218 | + | 0.991328i | −0.0119825 | + | 0.0352253i | ||||
\(793\) | 31.7699 | − | 31.7699i | 1.12818 | − | 1.12818i | ||||
\(794\) | 10.8834 | − | 2.86286i | 0.386236 | − | 0.101599i | ||||
\(795\) | −2.08460 | + | 9.57290i | −0.0739332 | + | 0.339516i | ||||
\(796\) | 6.27116 | − | 6.83791i | 0.222275 | − | 0.242363i | ||||
\(797\) | 27.4261 | + | 4.34387i | 0.971483 | + | 0.153868i | 0.621951 | − | 0.783056i | \(-0.286340\pi\) |
0.349533 | + | 0.936924i | \(0.386340\pi\) | |||||||
\(798\) | 19.3528 | − | 8.51053i | 0.685083 | − | 0.301269i | ||||
\(799\) | −5.19290 | −0.183712 | ||||||||
\(800\) | 18.2257 | + | 21.6292i | 0.644376 | + | 0.764709i | ||||
\(801\) | −12.7398 | −0.450137 | ||||||||
\(802\) | −22.7338 | + | 9.99733i | −0.802759 | + | 0.353018i | ||||
\(803\) | −4.93385 | − | 0.781446i | −0.174112 | − | 0.0275766i | ||||
\(804\) | 5.65369 | − | 6.16464i | 0.199390 | − | 0.217410i | ||||
\(805\) | 33.3003 | + | 75.8062i | 1.17368 | + | 2.67182i | ||||
\(806\) | 47.4656 | − | 12.4858i | 1.67191 | − | 0.439795i | ||||
\(807\) | −18.9468 | + | 18.9468i | −0.666960 | + | 0.666960i | ||||
\(808\) | 2.42555 | − | 7.13043i | 0.0853304 | − | 0.250848i | ||||
\(809\) | 15.4567 | + | 5.02219i | 0.543429 | + | 0.176571i | 0.567852 | − | 0.823131i | \(-0.307775\pi\) |
−0.0244225 | + | 0.999702i | \(0.507775\pi\) | |||||||
\(810\) | −3.14165 | − | 0.360568i | −0.110386 | − | 0.0126691i | ||||
\(811\) | −30.3929 | + | 9.87525i | −1.06724 | + | 0.346767i | −0.789412 | − | 0.613864i | \(-0.789614\pi\) |
−0.277827 | + | 0.960631i | \(0.589614\pi\) | |||||||
\(812\) | −13.3859 | + | 10.6383i | −0.469754 | + | 0.373332i | ||||
\(813\) | 4.00924 | + | 7.86857i | 0.140610 | + | 0.275963i | ||||
\(814\) | 0.805626 | − | 2.07036i | 0.0282372 | − | 0.0725659i | ||||
\(815\) | 17.9516 | − | 11.5314i | 0.628818 | − | 0.403927i | ||||
\(816\) | −3.95781 | + | 0.342860i | −0.138551 | + | 0.0120025i | ||||
\(817\) | −0.191342 | − | 1.20809i | −0.00669421 | − | 0.0422656i | ||||
\(818\) | −28.5938 | + | 2.87308i | −0.999759 | + | 0.100455i | ||||
\(819\) | −22.0607 | − | 16.0281i | −0.770864 | − | 0.560066i | ||||
\(820\) | −7.99841 | − | 11.3424i | −0.279317 | − | 0.396095i | ||||
\(821\) | 10.3666 | − | 7.53179i | 0.361797 | − | 0.262861i | −0.392004 | − | 0.919963i | \(-0.628218\pi\) |
0.753801 | + | 0.657102i | \(0.228218\pi\) | |||||||
\(822\) | 10.9070 | − | 9.73065i | 0.380424 | − | 0.339395i | ||||
\(823\) | −3.15910 | + | 6.20009i | −0.110119 | + | 0.216122i | −0.939489 | − | 0.342579i | \(-0.888700\pi\) |
0.829370 | + | 0.558700i | \(0.188700\pi\) | |||||||
\(824\) | −5.18856 | + | 9.84654i | −0.180752 | + | 0.343020i | ||||
\(825\) | 1.73462 | − | 0.646135i | 0.0603917 | − | 0.0224955i | ||||
\(826\) | −24.5868 | − | 20.0970i | −0.855486 | − | 0.699265i | ||||
\(827\) | 16.5164 | + | 8.41554i | 0.574333 | + | 0.292637i | 0.716932 | − | 0.697143i | \(-0.245546\pi\) |
−0.142599 | + | 0.989781i | \(0.545546\pi\) | |||||||
\(828\) | −0.610899 | − | 14.1302i | −0.0212302 | − | 0.491060i | ||||
\(829\) | 3.21460 | + | 4.42451i | 0.111648 | + | 0.153670i | 0.861184 | − | 0.508294i | \(-0.169724\pi\) |
−0.749536 | + | 0.661963i | \(0.769724\pi\) | |||||||
\(830\) | 13.5137 | + | 17.0177i | 0.469066 | + | 0.590695i | ||||
\(831\) | −17.0682 | + | 23.4924i | −0.592090 | + | 0.814942i | ||||
\(832\) | 7.64478 | − | 40.9549i | 0.265035 | − | 1.41985i | ||||
\(833\) | −20.0275 | + | 3.17205i | −0.693913 | + | 0.109905i | ||||
\(834\) | 0.180930 | + | 0.281419i | 0.00626508 | + | 0.00974473i | ||||
\(835\) | −28.9227 | + | 7.59583i | −1.00091 | + | 0.262865i | ||||
\(836\) | 1.84031 | − | 1.04016i | 0.0636485 | − | 0.0359748i | ||||
\(837\) | −5.93773 | + | 3.02543i | −0.205238 | + | 0.104574i | ||||
\(838\) | 48.0598 | + | 10.4455i | 1.66020 | + | 0.360835i | ||||
\(839\) | 7.44724 | + | 22.9203i | 0.257107 | + | 0.791295i | 0.993407 | + | 0.114640i | \(0.0365714\pi\) |
−0.736300 | + | 0.676656i | \(0.763429\pi\) | |||||||
\(840\) | −12.9014 | − | 30.4997i | −0.445139 | − | 1.05234i | ||||
\(841\) | 8.13770 | − | 25.0453i | 0.280610 | − | 0.863630i | ||||
\(842\) | −16.4808 | + | 28.2462i | −0.567966 | + | 0.973430i | ||||
\(843\) | 3.12646 | + | 3.12646i | 0.107681 | + | 0.107681i | ||||
\(844\) | −0.233871 | + | 0.512604i | −0.00805018 | + | 0.0176445i | ||||
\(845\) | −15.9236 | + | 27.2664i | −0.547788 | + | 0.937991i | ||||
\(846\) | −0.420788 | + | 7.38249i | −0.0144670 | + | 0.253815i | ||||
\(847\) | 8.89793 | − | 56.1793i | 0.305737 | − | 1.93035i | ||||
\(848\) | 17.4821 | + | 1.23746i | 0.600338 | + | 0.0424946i | ||||
\(849\) | 0.948273i | 0.0325446i | ||||||||
\(850\) | 4.89314 | + | 5.03738i | 0.167833 | + | 0.172781i | ||||
\(851\) | 30.0070i | 1.02863i | ||||||||
\(852\) | 12.2594 | + | 3.40545i | 0.419998 | + | 0.116669i | ||||
\(853\) | −4.08397 | + | 25.7852i | −0.139833 | + | 0.882868i | 0.813636 | + | 0.581375i | \(0.197485\pi\) |
−0.953468 | + | 0.301493i | \(0.902515\pi\) | |||||||
\(854\) | −63.7819 | − | 3.63545i | −2.18257 | − | 0.124403i | ||||
\(855\) | 4.24811 | + | 4.76546i | 0.145282 | + | 0.162975i | ||||
\(856\) | 0.422523 | + | 0.858177i | 0.0144416 | + | 0.0293319i | ||||
\(857\) | 23.8904 | + | 23.8904i | 0.816080 | + | 0.816080i | 0.985537 | − | 0.169458i | \(-0.0542017\pi\) |
−0.169458 | + | 0.985537i | \(0.554202\pi\) | |||||||
\(858\) | −2.35502 | − | 1.37408i | −0.0803989 | − | 0.0469103i | ||||
\(859\) | 1.70719 | − | 5.25420i | 0.0582487 | − | 0.179271i | −0.917699 | − | 0.397277i | \(-0.869955\pi\) |
0.975947 | + | 0.218006i | \(0.0699552\pi\) | |||||||
\(860\) | −1.89640 | + | 0.272956i | −0.0646666 | + | 0.00930774i | ||||
\(861\) | 5.02150 | + | 15.4546i | 0.171132 | + | 0.526691i | ||||
\(862\) | −6.04344 | + | 27.8058i | −0.205840 | + | 0.947069i | ||||
\(863\) | −16.6558 | + | 8.48655i | −0.566970 | + | 0.288885i | −0.713884 | − | 0.700264i | \(-0.753066\pi\) |
0.146915 | + | 0.989149i | \(0.453066\pi\) | |||||||
\(864\) | 0.166720 | + | 5.65440i | 0.00567194 | + | 0.192366i | ||||
\(865\) | 5.40688 | + | 2.10642i | 0.183839 | + | 0.0716205i | ||||
\(866\) | −6.50477 | + | 4.18205i | −0.221041 | + | 0.142112i | ||||
\(867\) | 15.8165 | − | 2.50509i | 0.537156 | − | 0.0850771i | ||||
\(868\) | −58.1786 | − | 38.5433i | −1.97471 | − | 1.30824i | ||||
\(869\) | 1.92982 | − | 2.65617i | 0.0654646 | − | 0.0901044i | ||||
\(870\) | −4.30316 | − | 2.85330i | −0.145891 | − | 0.0967360i | ||||
\(871\) | 12.8023 | + | 17.6209i | 0.433790 | + | 0.597060i | ||||
\(872\) | −20.3527 | + | 27.2192i | −0.689230 | + | 0.921760i | ||||
\(873\) | 9.84338 | + | 5.01545i | 0.333148 | + | 0.169747i | ||||
\(874\) | −18.0703 | + | 22.1074i | −0.611238 | + | 0.747792i | ||||
\(875\) | −27.3526 | + | 51.7585i | −0.924688 | + | 1.74976i | ||||
\(876\) | −26.4471 | + | 5.36897i | −0.893564 | + | 0.181401i | ||||
\(877\) | 24.2436 | − | 47.5808i | 0.818649 | − | 1.60669i | 0.0239273 | − | 0.999714i | \(-0.492383\pi\) |
0.794721 | − | 0.606975i | \(-0.207617\pi\) | |||||||
\(878\) | 26.5740 | + | 29.7865i | 0.896829 | + | 1.00524i | ||||
\(879\) | 14.9876 | − | 10.8891i | 0.505519 | − | 0.367281i | ||||
\(880\) | −1.58843 | − | 2.90540i | −0.0535460 | − | 0.0979411i | ||||
\(881\) | −9.29045 | − | 6.74991i | −0.313003 | − | 0.227410i | 0.420181 | − | 0.907440i | \(-0.361967\pi\) |
−0.733184 | + | 0.680030i | \(0.761967\pi\) | |||||||
\(882\) | 2.88669 | + | 28.7292i | 0.0971998 | + | 0.967362i | ||||
\(883\) | −0.521734 | − | 3.29410i | −0.0175578 | − | 0.110855i | 0.977353 | − | 0.211616i | \(-0.0678725\pi\) |
−0.994911 | + | 0.100760i | \(0.967872\pi\) | |||||||
\(884\) | 1.17539 | − | 10.2773i | 0.0395327 | − | 0.345663i | ||||
\(885\) | 3.48091 | − | 8.93500i | 0.117010 | − | 0.300347i | ||||
\(886\) | 17.8983 | + | 6.96467i | 0.601305 | + | 0.233983i | ||||
\(887\) | 4.44745 | + | 8.72861i | 0.149331 | + | 0.293078i | 0.953539 | − | 0.301269i | \(-0.0974104\pi\) |
−0.804208 | + | 0.594348i | \(0.797410\pi\) | |||||||
\(888\) | 0.164778 | − | 12.0006i | 0.00552959 | − | 0.402712i | ||||
\(889\) | 65.4268 | − | 21.2584i | 2.19434 | − | 0.712985i | ||||
\(890\) | 27.2417 | − | 29.6800i | 0.913145 | − | 0.994876i | ||||
\(891\) | 0.352091 | + | 0.114401i | 0.0117955 | + | 0.00383259i | ||||
\(892\) | −5.68645 | − | 15.2289i | −0.190396 | − | 0.509902i | ||||
\(893\) | 10.5557 | − | 10.5557i | 0.353234 | − | 0.353234i | ||||
\(894\) | 6.80126 | + | 25.8554i | 0.227468 | + | 0.864734i | ||||
\(895\) | 4.95465 | − | 4.41676i | 0.165616 | − | 0.147636i | ||||
\(896\) | −50.6907 | + | 30.6564i | −1.69346 | + | 1.02416i | ||||
\(897\) | 36.3746 | + | 5.76117i | 1.21451 | + | 0.192360i | ||||
\(898\) | −3.60042 | − | 8.18732i | −0.120148 | − | 0.273214i | ||||
\(899\) | −10.8807 | −0.362893 | ||||||||
\(900\) | 7.55790 | − | 6.54815i | 0.251930 | − | 0.218272i | ||||
\(901\) | 4.35148 | 0.144969 | ||||||||
\(902\) | 0.654075 | + | 1.48736i | 0.0217783 | + | 0.0495236i | ||||
\(903\) | 2.21562 | + | 0.350920i | 0.0737313 | + | 0.0116779i | ||||
\(904\) | 38.1392 | − | 5.50501i | 1.26849 | − | 0.183094i | ||||
\(905\) | 24.9405 | + | 14.5653i | 0.829050 | + | 0.484166i | ||||
\(906\) | −2.71345 | − | 10.3154i | −0.0901485 | − | 0.342705i | ||||
\(907\) | 31.5206 | − | 31.5206i | 1.04662 | − | 1.04662i | 0.0477645 | − | 0.998859i | \(-0.484790\pi\) |
0.998859 | − | 0.0477645i | \(-0.0152097\pi\) | |||||||
\(908\) | −44.9263 | + | 16.7754i | −1.49093 | + | 0.556712i | ||||
\(909\) | −2.53252 | − | 0.822867i | −0.0839985 | − | 0.0272928i | ||||
\(910\) | 84.5138 | − | 17.1220i | 2.80160 | − | 0.567589i | ||||
\(911\) | −53.3392 | + | 17.3310i | −1.76721 | + | 0.574200i | −0.997906 | − | 0.0646865i | \(-0.979395\pi\) |
−0.769301 | + | 0.638887i | \(0.779395\pi\) | |||||||
\(912\) | 7.34818 | − | 8.74206i | 0.243323 | − | 0.289478i | ||||
\(913\) | −1.15497 | − | 2.26675i | −0.0382238 | − | 0.0750184i | ||||
\(914\) | −43.4249 | − | 16.8977i | −1.43637 | − | 0.558926i | ||||
\(915\) | −4.90022 | − | 18.6586i | −0.161996 | − | 0.616835i | ||||
\(916\) | −0.701430 | − | 0.0802211i | −0.0231759 | − | 0.00265058i | ||||
\(917\) | 13.4274 | + | 84.7774i | 0.443413 | + | 2.79960i | ||||
\(918\) | 0.140420 | + | 1.39750i | 0.00463454 | + | 0.0461244i | ||||
\(919\) | −11.7270 | − | 8.52016i | −0.386838 | − | 0.281054i | 0.377321 | − | 0.926083i | \(-0.376845\pi\) |
−0.764159 | + | 0.645028i | \(0.776845\pi\) | |||||||
\(920\) | 34.2257 | + | 28.7918i | 1.12839 | + | 0.949238i | ||||
\(921\) | 15.0580 | − | 10.9403i | 0.496177 | − | 0.360494i | ||||
\(922\) | 20.4627 | + | 22.9363i | 0.673902 | + | 0.755368i | ||||
\(923\) | −15.0410 | + | 29.5197i | −0.495082 | + | 0.971653i | ||||
\(924\) | 0.771315 | + | 3.79943i | 0.0253744 | + | 0.124992i | ||||
\(925\) | −16.6201 | + | 13.1871i | −0.546465 | + | 0.433589i | ||||
\(926\) | −4.33880 | + | 5.30811i | −0.142582 | + | 0.174435i | ||||
\(927\) | 3.50613 | + | 1.78646i | 0.115157 | + | 0.0586752i | ||||
\(928\) | −3.94878 | + | 8.34952i | −0.129625 | + | 0.274086i | ||||
\(929\) | 18.7245 | + | 25.7720i | 0.614330 | + | 0.845553i | 0.996925 | − | 0.0783633i | \(-0.0249694\pi\) |
−0.382595 | + | 0.923916i | \(0.624969\pi\) | |||||||
\(930\) | 5.64842 | − | 20.3026i | 0.185219 | − | 0.665747i | ||||
\(931\) | 34.2625 | − | 47.1583i | 1.12291 | − | 1.54555i | ||||
\(932\) | 24.7801 | − | 37.4040i | 0.811701 | − | 1.22521i | ||||
\(933\) | −20.6973 | + | 3.27814i | −0.677600 | + | 0.107321i | ||||
\(934\) | −39.4704 | + | 25.3763i | −1.29151 | + | 0.830339i | ||||
\(935\) | −0.444341 | − | 0.691733i | −0.0145315 | − | 0.0226221i | ||||
\(936\) | −14.5155 | − | 2.50378i | −0.474453 | − | 0.0818387i | ||||
\(937\) | −11.2624 | + | 5.73850i | −0.367928 | + | 0.187469i | −0.628172 | − | 0.778074i | \(-0.716197\pi\) |
0.260245 | + | 0.965543i | \(0.416197\pi\) | |||||||
\(938\) | 6.57759 | − | 30.2634i | 0.214766 | − | 0.988136i | ||||
\(939\) | 4.62903 | + | 14.2467i | 0.151063 | + | 0.464923i | ||||
\(940\) | −16.2993 | − | 16.7665i | −0.531625 | − | 0.546862i | ||||
\(941\) | −7.99323 | + | 24.6006i | −0.260572 | + | 0.801958i | 0.732109 | + | 0.681188i | \(0.238536\pi\) |
−0.992681 | + | 0.120770i | \(0.961464\pi\) | |||||||
\(942\) | −9.58734 | − | 5.59391i | −0.312372 | − | 0.182260i | ||||
\(943\) | −15.5186 | − | 15.5186i | −0.505355 | − | 0.505355i | ||||
\(944\) | −16.7106 | − | 3.87296i | −0.543883 | − | 0.126054i | ||||
\(945\) | −10.7196 | + | 4.70894i | −0.348709 | + | 0.153182i | ||||
\(946\) | 0.223937 | + | 0.0127640i | 0.00728083 | + | 0.000414994i | ||||
\(947\) | −5.77847 | + | 36.4839i | −0.187775 | + | 1.18557i | 0.696136 | + | 0.717910i | \(0.254901\pi\) |
−0.883911 | + | 0.467656i | \(0.845099\pi\) | |||||||
\(948\) | 4.74729 | − | 17.0898i | 0.154185 | − | 0.555052i | ||||
\(949\) | − | 70.2701i | − | 2.28106i | ||||||
\(950\) | −20.1860 | − | 0.293210i | −0.654920 | − | 0.00951300i | ||||
\(951\) | 0.670426i | 0.0217401i | ||||||||
\(952\) | −12.0171 | + | 8.48132i | −0.389477 | + | 0.274881i | ||||
\(953\) | −9.06104 | + | 57.2092i | −0.293516 | + | 1.85319i | 0.195226 | + | 0.980758i | \(0.437456\pi\) |
−0.488742 | + | 0.872429i | \(0.662544\pi\) | |||||||
\(954\) | 0.352607 | − | 6.18628i | 0.0114161 | − | 0.200288i | ||||
\(955\) | 34.8210 | + | 7.58264i | 1.12678 | + | 0.245368i | ||||
\(956\) | 52.0548 | + | 23.7496i | 1.68357 | + | 0.768116i | ||||
\(957\) | 0.427417 | + | 0.427417i | 0.0138164 | + | 0.0138164i | ||||
\(958\) | 21.1971 | − | 36.3294i | 0.684846 | − | 1.17375i | ||||
\(959\) | 16.7234 | − | 51.4694i | 0.540028 | − | 1.66203i | ||||
\(960\) | −13.5296 | − | 11.7025i | −0.436667 | − | 0.377697i | ||||
\(961\) | −4.14388 | − | 12.7536i | −0.133674 | − | 0.411405i | ||||
\(962\) | 30.5381 | + | 6.63730i | 0.984589 | + | 0.213995i | ||||
\(963\) | 0.301332 | − | 0.153536i | 0.00971028 | − | 0.00494764i | ||||
\(964\) | −1.10769 | − | 1.95979i | −0.0356764 | − | 0.0631207i | ||||
\(965\) | 13.4400 | − | 16.4292i | 0.432648 | − | 0.528875i | ||||
\(966\) | −28.3193 | − | 44.0479i | −0.911158 | − | 1.41722i | ||||
\(967\) | −33.4802 | + | 5.30275i | −1.07665 | + | 0.170525i | −0.669483 | − | 0.742828i | \(-0.733484\pi\) |
−0.407169 | + | 0.913353i | \(0.633484\pi\) | |||||||
\(968\) | −9.09247 | − | 29.3489i | −0.292243 | − | 0.943308i | ||||
\(969\) | 1.66666 | − | 2.29396i | 0.0535409 | − | 0.0736927i | ||||
\(970\) | −32.7329 | + | 12.2076i | −1.05099 | + | 0.391962i | ||||
\(971\) | −10.9548 | − | 15.0779i | −0.351555 | − | 0.483874i | 0.596217 | − | 0.802824i | \(-0.296670\pi\) |
−0.947772 | + | 0.318950i | \(0.896670\pi\) | |||||||
\(972\) | 1.99813 | − | 0.0863862i | 0.0640902 | − | 0.00277084i | ||||
\(973\) | 1.10370 | + | 0.562364i | 0.0353831 | + | 0.0180286i | ||||
\(974\) | 42.0887 | + | 34.4029i | 1.34861 | + | 1.10234i | ||||
\(975\) | 12.7945 | + | 22.6788i | 0.409752 | + | 0.726302i | ||||
\(976\) | −31.7776 | + | 13.4568i | −1.01718 | + | 0.430741i | ||||
\(977\) | 8.13469 | − | 15.9652i | 0.260252 | − | 0.510773i | −0.723496 | − | 0.690329i | \(-0.757466\pi\) |
0.983748 | + | 0.179556i | \(0.0574659\pi\) | |||||||
\(978\) | −10.0694 | + | 8.98339i | −0.321983 | + | 0.287257i | ||||
\(979\) | −3.81564 | + | 2.77223i | −0.121949 | + | 0.0886008i | ||||
\(980\) | −73.1035 | − | 54.7072i | −2.33521 | − | 1.74756i | ||||
\(981\) | 9.72135 | + | 7.06297i | 0.310379 | + | 0.225503i | ||||
\(982\) | −7.45820 | + | 0.749394i | −0.238001 | + | 0.0239141i | ||||
\(983\) | 4.38634 | + | 27.6943i | 0.139903 | + | 0.883310i | 0.953393 | + | 0.301732i | \(0.0975647\pi\) |
−0.813490 | + | 0.581579i | \(0.802435\pi\) | |||||||
\(984\) | 6.12106 | + | 6.29149i | 0.195132 | + | 0.200565i | ||||
\(985\) | −45.4608 | − | 2.60930i | −1.44850 | − | 0.0831391i | ||||
\(986\) | −0.831616 | + | 2.13715i | −0.0264841 | + | 0.0680607i | ||||
\(987\) | 12.4293 | + | 24.3940i | 0.395630 | + | 0.776468i | ||||
\(988\) | 18.5016 | + | 23.2801i | 0.588616 | + | 0.740640i | ||||
\(989\) | −2.88137 | + | 0.936213i | −0.0916221 | + | 0.0297698i | ||||
\(990\) | −1.01941 | + | 0.575645i | −0.0323989 | + | 0.0182952i | ||||
\(991\) | 27.0318 | + | 8.78317i | 0.858694 | + | 0.279007i | 0.705083 | − | 0.709125i | \(-0.250910\pi\) |
0.153611 | + | 0.988131i | \(0.450910\pi\) | |||||||
\(992\) | −37.3912 | − | 4.79730i | −1.18717 | − | 0.152314i | ||||
\(993\) | −20.9769 | + | 20.9769i | −0.665682 | + | 0.665682i | ||||
\(994\) | 45.5590 | − | 11.9843i | 1.44504 | − | 0.380119i | ||||
\(995\) | 10.3218 | − | 1.03298i | 0.327222 | − | 0.0327477i | ||||
\(996\) | −10.1289 | − | 9.28943i | −0.320948 | − | 0.294347i | ||||
\(997\) | −34.1418 | − | 5.40753i | −1.08128 | − | 0.171258i | −0.409724 | − | 0.912210i | \(-0.634375\pi\) |
−0.671559 | + | 0.740951i | \(0.734375\pi\) | |||||||
\(998\) | −31.5723 | + | 13.8841i | −0.999402 | + | 0.439493i | ||||
\(999\) | −4.24324 | −0.134250 |
(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 | 300.2.w.a.67.5 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.26 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.18 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.13 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.18 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.13 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.5 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.26 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.5 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.67.18 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.103.5 | yes | 240 | 100.3 | even | 20 | inner | |
300.2.w.a.103.18 | yes | 240 | 25.3 | odd | 20 | inner | |
900.2.bj.f.667.13 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.667.26 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.703.13 | 240 | 75.53 | even | 20 | |||
900.2.bj.f.703.26 | 240 | 300.203 | odd | 20 |