Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [536,2,Mod(21,536)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(536, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 33, 62]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("536.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 536 = 2^{3} \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 536.bf (of order \(66\), degree \(20\), 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: | \(4.27998154834\) |
Analytic rank: | \(0\) |
Dimension: | \(1320\) |
Relative dimension: | \(66\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 21.7 | ||
Character | \(\chi\) | \(=\) | 536.21 |
Dual form | 536.2.bf.a.485.7 |
$q$-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 \(\left(\mathbb{Z}/536\mathbb{Z}\right)^\times\).
\(n\) | \(135\) | \(269\) | \(337\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{31}{33}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36003 | − | 0.387694i | −0.961689 | − | 0.274141i | ||||
\(3\) | 0.794198 | + | 0.362698i | 0.458531 | + | 0.209404i | 0.631269 | − | 0.775564i | \(-0.282534\pi\) |
−0.172739 | + | 0.984968i | \(0.555262\pi\) | |||||||
\(4\) | 1.69939 | + | 1.05456i | 0.849693 | + | 0.527278i | ||||
\(5\) | −0.649579 | + | 2.21226i | −0.290500 | + | 0.989353i | 0.676894 | + | 0.736080i | \(0.263325\pi\) |
−0.967395 | + | 0.253273i | \(0.918493\pi\) | |||||||
\(6\) | −0.939521 | − | 0.801188i | −0.383558 | − | 0.327084i | ||||
\(7\) | 1.59465 | − | 4.60745i | 0.602722 | − | 1.74145i | −0.0658775 | − | 0.997828i | \(-0.520985\pi\) |
0.668599 | − | 0.743623i | \(-0.266894\pi\) | |||||||
\(8\) | −1.90238 | − | 2.09307i | −0.672592 | − | 0.740013i | ||||
\(9\) | −1.46538 | − | 1.69114i | −0.488460 | − | 0.563713i | ||||
\(10\) | 1.74113 | − | 2.75691i | 0.550594 | − | 0.871813i | ||||
\(11\) | −1.51742 | + | 0.368123i | −0.457520 | + | 0.110993i | −0.457894 | − | 0.889007i | \(-0.651396\pi\) |
0.000374103 | 1.00000i | \(0.499881\pi\) | ||||||||
\(12\) | 0.967164 | + | 1.45389i | 0.279196 | + | 0.419702i | ||||
\(13\) | −1.76077 | − | 3.41542i | −0.488349 | − | 0.947266i | −0.996305 | − | 0.0858826i | \(-0.972629\pi\) |
0.507956 | − | 0.861383i | \(-0.330401\pi\) | |||||||
\(14\) | −3.95506 | + | 5.64804i | −1.05703 | + | 1.50950i | ||||
\(15\) | −1.31828 | + | 1.52137i | −0.340378 | + | 0.392817i | ||||
\(16\) | 1.77583 | + | 3.58419i | 0.443956 | + | 0.896048i | ||||
\(17\) | −6.54467 | − | 2.62009i | −1.58732 | − | 0.635465i | −0.600839 | − | 0.799370i | \(-0.705167\pi\) |
−0.986476 | + | 0.163904i | \(0.947591\pi\) | |||||||
\(18\) | 1.33732 | + | 2.86813i | 0.315210 | + | 0.676024i | ||||
\(19\) | 3.13370 | − | 1.08458i | 0.718920 | − | 0.248821i | 0.0569777 | − | 0.998375i | \(-0.481854\pi\) |
0.661942 | + | 0.749555i | \(0.269732\pi\) | |||||||
\(20\) | −3.43684 | + | 3.07447i | −0.768500 | + | 0.687472i | ||||
\(21\) | 2.93758 | − | 3.08085i | 0.641033 | − | 0.672296i | ||||
\(22\) | 2.20646 | + | 0.0876368i | 0.470420 | + | 0.0186842i | ||||
\(23\) | −1.62909 | − | 2.28773i | −0.339688 | − | 0.477025i | 0.609031 | − | 0.793147i | \(-0.291559\pi\) |
−0.948719 | + | 0.316122i | \(0.897619\pi\) | |||||||
\(24\) | −0.751711 | − | 2.35231i | −0.153442 | − | 0.480162i | ||||
\(25\) | −0.265881 | − | 0.170871i | −0.0531762 | − | 0.0341743i | ||||
\(26\) | 1.07057 | + | 5.32772i | 0.209956 | + | 1.04485i | ||||
\(27\) | −1.28837 | − | 4.38779i | −0.247947 | − | 0.844430i | ||||
\(28\) | 7.56874 | − | 6.14818i | 1.43036 | − | 1.16190i | ||||
\(29\) | 4.51548 | − | 2.60701i | 0.838503 | − | 0.484110i | −0.0182523 | − | 0.999833i | \(-0.505810\pi\) |
0.856755 | + | 0.515724i | \(0.172477\pi\) | |||||||
\(30\) | 2.38273 | − | 1.55803i | 0.435025 | − | 0.284456i | ||||
\(31\) | 6.32147 | + | 3.25894i | 1.13537 | + | 0.585323i | 0.920276 | − | 0.391270i | \(-0.127964\pi\) |
0.215093 | + | 0.976594i | \(0.430995\pi\) | |||||||
\(32\) | −1.02561 | − | 5.56310i | −0.181304 | − | 0.983427i | ||||
\(33\) | −1.33865 | − | 0.258004i | −0.233029 | − | 0.0449127i | ||||
\(34\) | 7.88518 | + | 6.10075i | 1.35230 | + | 1.04627i | ||||
\(35\) | 9.15702 | + | 6.52069i | 1.54782 | + | 1.10220i | ||||
\(36\) | −0.706847 | − | 4.41923i | −0.117808 | − | 0.736538i | ||||
\(37\) | −0.358791 | − | 0.207148i | −0.0589849 | − | 0.0340549i | 0.470218 | − | 0.882551i | \(-0.344175\pi\) |
−0.529202 | + | 0.848496i | \(0.677509\pi\) | |||||||
\(38\) | −4.68243 | + | 0.260153i | −0.759590 | + | 0.0422024i | ||||
\(39\) | −0.159635 | − | 3.35114i | −0.0255620 | − | 0.536613i | ||||
\(40\) | 5.86617 | − | 2.84894i | 0.927523 | − | 0.450457i | ||||
\(41\) | 1.38721 | − | 1.09091i | 0.216646 | − | 0.170372i | −0.503938 | − | 0.863740i | \(-0.668116\pi\) |
0.720584 | + | 0.693367i | \(0.243874\pi\) | |||||||
\(42\) | −5.18964 | + | 3.05117i | −0.800779 | + | 0.470806i | ||||
\(43\) | −11.2662 | + | 1.61983i | −1.71808 | + | 0.247022i | −0.929738 | − | 0.368222i | \(-0.879967\pi\) |
−0.788337 | + | 0.615243i | \(0.789058\pi\) | |||||||
\(44\) | −2.96689 | − | 0.974623i | −0.447276 | − | 0.146930i | ||||
\(45\) | 4.69312 | − | 2.14328i | 0.699610 | − | 0.319501i | ||||
\(46\) | 1.32867 | + | 3.74298i | 0.195902 | + | 0.551872i | ||||
\(47\) | −0.299693 | + | 0.0286172i | −0.0437146 | + | 0.00417424i | −0.116890 | − | 0.993145i | \(-0.537293\pi\) |
0.0731758 | + | 0.997319i | \(0.476687\pi\) | |||||||
\(48\) | 0.110377 | + | 3.49065i | 0.0159315 | + | 0.503832i | ||||
\(49\) | −13.1833 | − | 10.3674i | −1.88332 | − | 1.48106i | ||||
\(50\) | 0.295361 | + | 0.335471i | 0.0417704 | + | 0.0474428i | ||||
\(51\) | −4.24746 | − | 4.45461i | −0.594764 | − | 0.623771i | ||||
\(52\) | 0.609519 | − | 7.66094i | 0.0845251 | − | 1.06238i | ||||
\(53\) | 6.69125 | + | 0.962057i | 0.919114 | + | 0.132149i | 0.585603 | − | 0.810598i | \(-0.300858\pi\) |
0.333511 | + | 0.942746i | \(0.391767\pi\) | |||||||
\(54\) | 0.0511071 | + | 6.46704i | 0.00695479 | + | 0.880052i | ||||
\(55\) | 0.171301 | − | 3.59606i | 0.0230983 | − | 0.484892i | ||||
\(56\) | −12.6774 | + | 5.42737i | −1.69408 | + | 0.725263i | ||||
\(57\) | 2.88216 | + | 0.275213i | 0.381751 | + | 0.0364528i | ||||
\(58\) | −7.15192 | + | 1.79500i | −0.939094 | + | 0.235695i | ||||
\(59\) | 0.460904 | + | 0.717180i | 0.0600046 | + | 0.0933689i | 0.869959 | − | 0.493123i | \(-0.164145\pi\) |
−0.809955 | + | 0.586492i | \(0.800508\pi\) | |||||||
\(60\) | −3.84464 | + | 1.19520i | −0.496340 | + | 0.154300i | ||||
\(61\) | 6.83521 | + | 1.65820i | 0.875159 | + | 0.212311i | 0.648087 | − | 0.761566i | \(-0.275569\pi\) |
0.227073 | + | 0.973878i | \(0.427085\pi\) | |||||||
\(62\) | −7.33394 | − | 6.88307i | −0.931411 | − | 0.874151i | ||||
\(63\) | −10.1286 | + | 4.05488i | −1.27608 | + | 0.510867i | ||||
\(64\) | −0.761919 | + | 7.96363i | −0.0952399 | + | 0.995454i | ||||
\(65\) | 8.69955 | − | 1.67670i | 1.07905 | − | 0.207969i | ||||
\(66\) | 1.72058 | + | 0.869882i | 0.211789 | + | 0.107075i | ||||
\(67\) | −1.02393 | + | 8.12106i | −0.125093 | + | 0.992145i | ||||
\(68\) | −8.35889 | − | 11.3543i | −1.01366 | − | 1.37691i | ||||
\(69\) | −0.464061 | − | 2.40778i | −0.0558664 | − | 0.289862i | ||||
\(70\) | −9.92583 | − | 12.4185i | −1.18636 | − | 1.48429i | ||||
\(71\) | 1.19891 | − | 0.479971i | 0.142284 | − | 0.0569621i | −0.299427 | − | 0.954119i | \(-0.596796\pi\) |
0.441712 | + | 0.897157i | \(0.354371\pi\) | |||||||
\(72\) | −0.751973 | + | 6.28434i | −0.0886209 | + | 0.740616i | ||||
\(73\) | 1.94176 | − | 8.00403i | 0.227265 | − | 0.936801i | −0.737848 | − | 0.674967i | \(-0.764158\pi\) |
0.965113 | − | 0.261833i | \(-0.0843271\pi\) | |||||||
\(74\) | 0.407658 | + | 0.420830i | 0.0473893 | + | 0.0489205i | ||||
\(75\) | −0.149188 | − | 0.232140i | −0.0172267 | − | 0.0268053i | ||||
\(76\) | 6.46912 | + | 1.46153i | 0.742059 | + | 0.167649i | ||||
\(77\) | −0.723656 | + | 7.57846i | −0.0824682 | + | 0.863646i | ||||
\(78\) | −1.08211 | + | 4.61956i | −0.122525 | + | 0.523062i | ||||
\(79\) | 0.643052 | − | 13.4993i | 0.0723490 | − | 1.51879i | −0.612711 | − | 0.790307i | \(-0.709921\pi\) |
0.685060 | − | 0.728486i | \(-0.259776\pi\) | |||||||
\(80\) | −9.08271 | + | 1.60037i | −1.01548 | + | 0.178927i | ||||
\(81\) | −0.387152 | + | 2.69270i | −0.0430169 | + | 0.299189i | ||||
\(82\) | −2.30960 | + | 0.945867i | −0.255052 | + | 0.104454i | ||||
\(83\) | −8.06226 | − | 8.45545i | −0.884948 | − | 0.928106i | 0.112905 | − | 0.993606i | \(-0.463984\pi\) |
−0.997853 | + | 0.0654994i | \(0.979136\pi\) | |||||||
\(84\) | 8.24101 | − | 2.13771i | 0.899168 | − | 0.233243i | ||||
\(85\) | 10.0476 | − | 12.7766i | 1.08982 | − | 1.38581i | ||||
\(86\) | 15.9504 | + | 2.16481i | 1.71997 | + | 0.233437i | ||||
\(87\) | 4.53174 | − | 0.432729i | 0.485854 | − | 0.0463934i | ||||
\(88\) | 3.65722 | + | 2.47577i | 0.389861 | + | 0.263918i | ||||
\(89\) | 3.42441 | + | 7.49841i | 0.362987 | + | 0.794830i | 0.999718 | + | 0.0237443i | \(0.00755874\pi\) |
−0.636731 | + | 0.771086i | \(0.719714\pi\) | |||||||
\(90\) | −7.21375 | + | 1.09543i | −0.760396 | + | 0.115469i | ||||
\(91\) | −18.5442 | + | 2.66625i | −1.94396 | + | 0.279499i | ||||
\(92\) | −0.355906 | − | 5.60570i | −0.0371058 | − | 0.584434i | ||||
\(93\) | 3.83849 | + | 4.88103i | 0.398032 | + | 0.506139i | ||||
\(94\) | 0.418687 | + | 0.0772688i | 0.0431842 | + | 0.00796967i | ||||
\(95\) | 0.363799 | + | 7.63709i | 0.0373250 | + | 0.783548i | ||||
\(96\) | 1.20319 | − | 4.79020i | 0.122800 | − | 0.488897i | ||||
\(97\) | 1.45438 | − | 2.51905i | 0.147669 | − | 0.255771i | −0.782696 | − | 0.622404i | \(-0.786156\pi\) |
0.930366 | + | 0.366633i | \(0.119489\pi\) | |||||||
\(98\) | 13.9103 | + | 19.2111i | 1.40515 | + | 1.94062i | ||||
\(99\) | 2.84615 | + | 2.02673i | 0.286049 | + | 0.203694i | ||||
\(100\) | −0.271641 | − | 0.570763i | −0.0271641 | − | 0.0570763i | ||||
\(101\) | 1.10120 | − | 5.71357i | 0.109573 | − | 0.568521i | −0.885096 | − | 0.465408i | \(-0.845908\pi\) |
0.994670 | − | 0.103113i | \(-0.0328803\pi\) | |||||||
\(102\) | 4.04967 | + | 7.70514i | 0.400977 | + | 0.762923i | ||||
\(103\) | 4.50262 | + | 2.32126i | 0.443656 | + | 0.228721i | 0.665555 | − | 0.746349i | \(-0.268195\pi\) |
−0.221899 | + | 0.975070i | \(0.571225\pi\) | |||||||
\(104\) | −3.79907 | + | 10.1828i | −0.372529 | + | 0.998509i | ||||
\(105\) | 4.90745 | + | 8.49995i | 0.478918 | + | 0.829511i | ||||
\(106\) | −8.72735 | − | 3.90259i | −0.847675 | − | 0.379053i | ||||
\(107\) | 4.12372 | + | 14.0441i | 0.398655 | + | 1.35770i | 0.877408 | + | 0.479745i | \(0.159271\pi\) |
−0.478753 | + | 0.877950i | \(0.658911\pi\) | |||||||
\(108\) | 2.43773 | − | 8.81520i | 0.234570 | − | 0.848243i | ||||
\(109\) | 5.99814 | − | 9.33330i | 0.574518 | − | 0.893968i | −0.425421 | − | 0.904996i | \(-0.639874\pi\) |
0.999939 | + | 0.0110279i | \(0.00351037\pi\) | |||||||
\(110\) | −1.62715 | + | 4.82435i | −0.155142 | + | 0.459984i | ||||
\(111\) | −0.209819 | − | 0.294649i | −0.0199151 | − | 0.0279669i | ||||
\(112\) | 19.3458 | − | 2.46647i | 1.82801 | − | 0.233060i | ||||
\(113\) | 1.08736 | + | 1.03679i | 0.102290 | + | 0.0975333i | 0.739499 | − | 0.673158i | \(-0.235063\pi\) |
−0.637209 | + | 0.770691i | \(0.719911\pi\) | |||||||
\(114\) | −3.81313 | − | 1.49169i | −0.357133 | − | 0.139710i | ||||
\(115\) | 6.11928 | − | 2.11790i | 0.570626 | − | 0.197495i | ||||
\(116\) | 10.4228 | + | 0.331502i | 0.967730 | + | 0.0307792i | ||||
\(117\) | −3.19575 | + | 7.98259i | −0.295447 | + | 0.737991i | ||||
\(118\) | −0.348798 | − | 1.15408i | −0.0321095 | − | 0.106242i | ||||
\(119\) | −22.5084 | + | 25.9761i | −2.06334 | + | 2.38122i | ||||
\(120\) | 5.69221 | − | 0.134974i | 0.519625 | − | 0.0123214i | ||||
\(121\) | −7.61014 | + | 3.92330i | −0.691830 | + | 0.356663i | ||||
\(122\) | −8.65325 | − | 4.90519i | −0.783428 | − | 0.444095i | ||||
\(123\) | 1.49739 | − | 0.363264i | 0.135015 | − | 0.0327544i | ||||
\(124\) | 7.30588 | + | 12.2045i | 0.656087 | + | 1.09600i | ||||
\(125\) | −8.16177 | + | 7.07222i | −0.730011 | + | 0.632558i | ||||
\(126\) | 15.3473 | − | 1.58797i | 1.36725 | − | 0.141468i | ||||
\(127\) | −2.33197 | + | 6.73779i | −0.206929 | + | 0.597882i | −0.999936 | − | 0.0113306i | \(-0.996393\pi\) |
0.793007 | + | 0.609213i | \(0.208514\pi\) | |||||||
\(128\) | 4.12369 | − | 10.5354i | 0.364486 | − | 0.931209i | ||||
\(129\) | −9.53509 | − | 2.79975i | −0.839518 | − | 0.246505i | ||||
\(130\) | −12.4817 | − | 1.09240i | −1.09472 | − | 0.0958096i | ||||
\(131\) | 18.4657 | + | 8.43302i | 1.61336 | + | 0.736797i | 0.998649 | − | 0.0519563i | \(-0.0165457\pi\) |
0.614710 | + | 0.788753i | \(0.289273\pi\) | |||||||
\(132\) | −2.00281 | − | 1.85013i | −0.174322 | − | 0.161033i | ||||
\(133\) | − | 16.1679i | − | 1.40193i | ||||||
\(134\) | 4.54107 | − | 10.6479i | 0.392288 | − | 0.919842i | ||||
\(135\) | 10.5438 | 0.907469 | ||||||||
\(136\) | 6.96639 | + | 18.6829i | 0.597363 | + | 1.60204i | ||||
\(137\) | 6.56603 | − | 14.3776i | 0.560974 | − | 1.22836i | −0.390492 | − | 0.920606i | \(-0.627695\pi\) |
0.951466 | − | 0.307755i | \(-0.0995776\pi\) | |||||||
\(138\) | −0.302343 | + | 3.45458i | −0.0257372 | + | 0.294073i | ||||
\(139\) | −2.67156 | + | 9.09850i | −0.226599 | + | 0.771725i | 0.765186 | + | 0.643809i | \(0.222647\pi\) |
−0.991785 | + | 0.127916i | \(0.959171\pi\) | |||||||
\(140\) | 8.68489 | + | 20.7377i | 0.734007 | + | 1.75266i | ||||
\(141\) | −0.248395 | − | 0.0859703i | −0.0209186 | − | 0.00724000i | ||||
\(142\) | −1.81664 | + | 0.187966i | −0.152449 | + | 0.0157738i | ||||
\(143\) | 3.92912 | + | 4.53445i | 0.328570 | + | 0.379189i | ||||
\(144\) | 3.45911 | − | 8.25538i | 0.288259 | − | 0.687948i | ||||
\(145\) | 2.83423 | + | 11.6829i | 0.235370 | + | 0.970210i | ||||
\(146\) | −5.74397 | + | 10.1329i | −0.475375 | + | 0.838608i | ||||
\(147\) | −6.70988 | − | 13.0153i | −0.553421 | − | 1.07349i | ||||
\(148\) | −0.391275 | − | 0.730389i | −0.0321626 | − | 0.0600376i | ||||
\(149\) | −15.1276 | − | 13.1081i | −1.23930 | − | 1.07386i | −0.994549 | − | 0.104274i | \(-0.966748\pi\) |
−0.244751 | − | 0.969586i | \(-0.578706\pi\) | |||||||
\(150\) | 0.112901 | + | 0.373558i | 0.00921830 | + | 0.0305009i | ||||
\(151\) | 1.99297 | + | 0.797866i | 0.162186 | + | 0.0649294i | 0.451335 | − | 0.892355i | \(-0.350948\pi\) |
−0.289149 | + | 0.957284i | \(0.593372\pi\) | |||||||
\(152\) | −8.23159 | − | 4.49578i | −0.667670 | − | 0.364656i | ||||
\(153\) | 5.15950 | + | 14.9074i | 0.417121 | + | 1.20519i | ||||
\(154\) | 3.92233 | − | 10.0264i | 0.316070 | − | 0.807951i | ||||
\(155\) | −11.3159 | + | 11.8678i | −0.908917 | + | 0.953244i | ||||
\(156\) | 3.26269 | − | 5.86323i | 0.261224 | − | 0.469434i | ||||
\(157\) | −9.31733 | + | 6.63484i | −0.743604 | + | 0.529518i | −0.887911 | − | 0.460015i | \(-0.847844\pi\) |
0.144307 | + | 0.989533i | \(0.453905\pi\) | |||||||
\(158\) | −6.10819 | + | 18.1102i | −0.485941 | + | 1.44077i | ||||
\(159\) | 4.96525 | + | 3.19097i | 0.393770 | + | 0.253060i | ||||
\(160\) | 12.9733 | + | 1.34475i | 1.02563 | + | 0.106312i | ||||
\(161\) | −13.1384 | + | 3.85779i | −1.03545 | + | 0.304036i | ||||
\(162\) | 1.57049 | − | 3.51207i | 0.123389 | − | 0.275934i | ||||
\(163\) | −11.7164 | + | 6.76449i | −0.917702 | + | 0.529835i | −0.882901 | − | 0.469559i | \(-0.844413\pi\) |
−0.0348007 | + | 0.999394i | \(0.511080\pi\) | |||||||
\(164\) | 3.50784 | − | 0.390994i | 0.273916 | − | 0.0305315i | ||||
\(165\) | 1.44033 | − | 2.79385i | 0.112130 | − | 0.217501i | ||||
\(166\) | 7.68681 | + | 14.6254i | 0.596612 | + | 1.13515i | ||||
\(167\) | 6.77029 | + | 1.30487i | 0.523901 | + | 0.100974i | 0.444343 | − | 0.895857i | \(-0.353437\pi\) |
0.0795578 | + | 0.996830i | \(0.474649\pi\) | |||||||
\(168\) | −12.0368 | − | 0.287642i | −0.928662 | − | 0.0221921i | ||||
\(169\) | −1.02401 | + | 1.43803i | −0.0787702 | + | 0.110617i | ||||
\(170\) | −18.6185 | + | 13.4812i | −1.42797 | + | 1.03396i | ||||
\(171\) | −6.42625 | − | 3.71020i | −0.491427 | − | 0.283726i | ||||
\(172\) | −20.8538 | − | 9.12809i | −1.59009 | − | 0.696010i | ||||
\(173\) | 6.07991 | − | 0.289622i | 0.462247 | − | 0.0220195i | 0.184833 | − | 0.982770i | \(-0.440826\pi\) |
0.277414 | + | 0.960750i | \(0.410523\pi\) | |||||||
\(174\) | −6.33109 | − | 1.16841i | −0.479959 | − | 0.0885766i | ||||
\(175\) | −1.21127 | + | 0.952552i | −0.0915633 | + | 0.0720061i | ||||
\(176\) | −4.01410 | − | 4.78501i | −0.302574 | − | 0.360684i | ||||
\(177\) | 0.105929 | + | 0.736752i | 0.00796211 | + | 0.0553777i | ||||
\(178\) | −1.75022 | − | 11.5257i | −0.131185 | − | 0.863889i | ||||
\(179\) | 12.1118 | − | 5.53126i | 0.905276 | − | 0.413426i | 0.0923058 | − | 0.995731i | \(-0.470576\pi\) |
0.812971 | + | 0.582305i | \(0.197849\pi\) | |||||||
\(180\) | 10.2356 | + | 1.30690i | 0.762919 | + | 0.0974108i | ||||
\(181\) | 0.472724 | + | 4.95059i | 0.0351373 | + | 0.367974i | 0.995890 | + | 0.0905687i | \(0.0288685\pi\) |
−0.960753 | + | 0.277405i | \(0.910525\pi\) | |||||||
\(182\) | 26.2544 | + | 3.56328i | 1.94610 | + | 0.264128i | ||||
\(183\) | 4.82709 | + | 3.79606i | 0.356829 | + | 0.280613i | ||||
\(184\) | −1.68925 | + | 7.76192i | −0.124533 | + | 0.572217i | ||||
\(185\) | 0.691329 | − | 0.659180i | 0.0508275 | − | 0.0484639i | ||||
\(186\) | −3.32812 | − | 8.12653i | −0.244030 | − | 0.595866i | ||||
\(187\) | 10.8955 | + | 1.56654i | 0.796761 | + | 0.114557i | ||||
\(188\) | −0.539472 | − | 0.267411i | −0.0393450 | − | 0.0195029i | ||||
\(189\) | −22.2710 | − | 1.06090i | −1.61998 | − | 0.0771690i | ||||
\(190\) | 2.46608 | − | 10.5277i | 0.178908 | − | 0.763763i | ||||
\(191\) | 10.1414 | + | 0.968390i | 0.733809 | + | 0.0700702i | 0.455268 | − | 0.890354i | \(-0.349543\pi\) |
0.278540 | + | 0.960425i | \(0.410149\pi\) | |||||||
\(192\) | −3.49351 | + | 6.04836i | −0.252122 | + | 0.436503i | ||||
\(193\) | −0.857930 | + | 0.551358i | −0.0617551 | + | 0.0396876i | −0.571154 | − | 0.820843i | \(-0.693504\pi\) |
0.509399 | + | 0.860530i | \(0.329868\pi\) | |||||||
\(194\) | −2.95462 | + | 2.86214i | −0.212130 | + | 0.205490i | ||||
\(195\) | 7.51730 | + | 1.82368i | 0.538325 | + | 0.130596i | ||||
\(196\) | −11.4704 | − | 31.5208i | −0.819316 | − | 2.25148i | ||||
\(197\) | 3.21933 | + | 8.04151i | 0.229368 | + | 0.572934i | 0.997749 | − | 0.0670591i | \(-0.0213616\pi\) |
−0.768381 | + | 0.639993i | \(0.778937\pi\) | |||||||
\(198\) | −3.08511 | − | 3.85986i | −0.219249 | − | 0.274308i | ||||
\(199\) | 10.9924 | − | 2.11860i | 0.779228 | − | 0.150184i | 0.215898 | − | 0.976416i | \(-0.430732\pi\) |
0.563330 | + | 0.826232i | \(0.309520\pi\) | |||||||
\(200\) | 0.148160 | + | 0.881570i | 0.0104765 | + | 0.0623364i | ||||
\(201\) | −3.75870 | + | 6.07835i | −0.265118 | + | 0.428734i | ||||
\(202\) | −3.71279 | + | 7.34372i | −0.261231 | + | 0.516702i | ||||
\(203\) | −4.81105 | − | 24.9621i | −0.337669 | − | 1.75199i | ||||
\(204\) | −2.52045 | − | 12.0493i | −0.176466 | − | 0.843619i | ||||
\(205\) | 1.51229 | + | 3.77751i | 0.105623 | + | 0.263833i | ||||
\(206\) | −5.22377 | − | 4.90263i | −0.363957 | − | 0.341583i | ||||
\(207\) | −1.48164 | + | 6.10741i | −0.102981 | + | 0.424494i | ||||
\(208\) | 9.11469 | − | 12.3761i | 0.631990 | − | 0.858129i | ||||
\(209\) | −4.35588 | + | 2.79936i | −0.301303 | + | 0.193636i | ||||
\(210\) | −3.37892 | − | 13.4628i | −0.233167 | − | 0.929023i | ||||
\(211\) | −1.53083 | + | 16.0316i | −0.105387 | + | 1.10366i | 0.775828 | + | 0.630944i | \(0.217332\pi\) |
−0.881215 | + | 0.472716i | \(0.843274\pi\) | |||||||
\(212\) | 10.3565 | + | 8.69120i | 0.711286 | + | 0.596914i | ||||
\(213\) | 1.12626 | + | 0.0536503i | 0.0771699 | + | 0.00367606i | ||||
\(214\) | −0.163580 | − | 20.6992i | −0.0111821 | − | 1.41497i | ||||
\(215\) | 3.73477 | − | 25.9759i | 0.254710 | − | 1.77154i | ||||
\(216\) | −6.73300 | + | 11.0439i | −0.458122 | + | 0.751441i | ||||
\(217\) | 25.0959 | − | 23.9289i | 1.70362 | − | 1.62440i | ||||
\(218\) | −11.7761 | + | 10.3682i | −0.797581 | + | 0.702220i | ||||
\(219\) | 4.44519 | − | 5.65251i | 0.300378 | − | 0.381962i | ||||
\(220\) | 4.08335 | − | 5.93044i | 0.275299 | − | 0.399830i | ||||
\(221\) | 2.57495 | + | 26.9661i | 0.173210 | + | 1.81394i | ||||
\(222\) | 0.171127 | + | 0.482079i | 0.0114853 | + | 0.0323550i | ||||
\(223\) | 0.637788 | + | 1.39656i | 0.0427095 | + | 0.0935207i | 0.929784 | − | 0.368105i | \(-0.119993\pi\) |
−0.887075 | + | 0.461626i | \(0.847266\pi\) | |||||||
\(224\) | −27.2672 | − | 4.14577i | −1.82187 | − | 0.277001i | ||||
\(225\) | 0.100650 | + | 0.700034i | 0.00670998 | + | 0.0466689i | ||||
\(226\) | −1.07688 | − | 1.83164i | −0.0716333 | − | 0.121839i | ||||
\(227\) | −8.23891 | − | 10.4766i | −0.546836 | − | 0.695358i | 0.431563 | − | 0.902083i | \(-0.357962\pi\) |
−0.978399 | + | 0.206724i | \(0.933720\pi\) | |||||||
\(228\) | 4.60767 | + | 3.50709i | 0.305150 | + | 0.232262i | ||||
\(229\) | −16.9964 | + | 0.809641i | −1.12316 | + | 0.0535026i | −0.600928 | − | 0.799303i | \(-0.705202\pi\) |
−0.522229 | + | 0.852806i | \(0.674899\pi\) | |||||||
\(230\) | −9.14353 | + | 0.508010i | −0.602906 | + | 0.0334972i | ||||
\(231\) | −3.32342 | + | 5.75634i | −0.218665 | + | 0.378739i | ||||
\(232\) | −14.0468 | − | 4.49171i | −0.922218 | − | 0.294895i | ||||
\(233\) | 15.1180 | − | 21.2303i | 0.990415 | − | 1.39084i | 0.0710345 | − | 0.997474i | \(-0.477370\pi\) |
0.919381 | − | 0.393369i | \(-0.128691\pi\) | |||||||
\(234\) | 7.44113 | − | 9.61762i | 0.486442 | − | 0.628724i | ||||
\(235\) | 0.131365 | − | 0.681587i | 0.00856932 | − | 0.0444619i | ||||
\(236\) | 0.0269470 | + | 1.70481i | 0.00175410 | + | 0.110974i | ||||
\(237\) | 5.40689 | − | 10.4879i | 0.351216 | − | 0.681263i | ||||
\(238\) | 40.6830 | − | 26.6020i | 2.63709 | − | 1.72435i | ||||
\(239\) | 7.04705 | + | 12.2059i | 0.455836 | + | 0.789531i | 0.998736 | − | 0.0502665i | \(-0.0160071\pi\) |
−0.542900 | + | 0.839797i | \(0.682674\pi\) | |||||||
\(240\) | −7.79393 | − | 2.02327i | −0.503096 | − | 0.130601i | ||||
\(241\) | 0.247418 | − | 0.0726484i | 0.0159376 | − | 0.00467969i | −0.273754 | − | 0.961800i | \(-0.588265\pi\) |
0.289692 | + | 0.957120i | \(0.406447\pi\) | |||||||
\(242\) | 11.8711 | − | 2.38541i | 0.763102 | − | 0.153340i | ||||
\(243\) | −8.70121 | + | 13.5393i | −0.558183 | + | 0.868550i | ||||
\(244\) | 9.86700 | + | 10.0260i | 0.631670 | + | 0.641852i | ||||
\(245\) | 31.4990 | − | 22.4304i | 2.01240 | − | 1.43302i | ||||
\(246\) | −2.17734 | − | 0.0864801i | −0.138822 | − | 0.00551377i | ||||
\(247\) | −9.22202 | − | 8.79318i | −0.586783 | − | 0.559497i | ||||
\(248\) | −5.20461 | − | 19.4310i | −0.330493 | − | 1.23387i | ||||
\(249\) | −3.33625 | − | 9.63947i | −0.211427 | − | 0.610877i | ||||
\(250\) | 13.8421 | − | 6.45418i | 0.875454 | − | 0.408198i | ||||
\(251\) | −0.648381 | + | 1.61958i | −0.0409255 | + | 0.102227i | −0.947423 | − | 0.319985i | \(-0.896322\pi\) |
0.906497 | + | 0.422212i | \(0.138746\pi\) | |||||||
\(252\) | −21.4885 | − | 3.79037i | −1.35365 | − | 0.238771i | ||||
\(253\) | 3.31418 | + | 2.87175i | 0.208360 | + | 0.180545i | ||||
\(254\) | 5.78377 | − | 8.25953i | 0.362906 | − | 0.518249i | ||||
\(255\) | 12.6138 | − | 6.50288i | 0.789909 | − | 0.407226i | ||||
\(256\) | −9.69289 | + | 12.7298i | −0.605806 | + | 0.795613i | ||||
\(257\) | −6.40104 | − | 26.3854i | −0.399286 | − | 1.64588i | −0.716546 | − | 0.697540i | \(-0.754278\pi\) |
0.317260 | − | 0.948339i | \(-0.397237\pi\) | |||||||
\(258\) | 11.8826 | + | 7.50446i | 0.739778 | + | 0.467207i | ||||
\(259\) | −1.52657 | + | 1.32278i | −0.0948564 | + | 0.0821936i | ||||
\(260\) | 16.5521 | + | 6.32480i | 1.02652 | + | 0.392247i | ||||
\(261\) | −11.0257 | − | 3.81604i | −0.682474 | − | 0.236207i | ||||
\(262\) | −21.8446 | − | 18.6283i | −1.34956 | − | 1.15086i | ||||
\(263\) | −6.21433 | − | 1.82469i | −0.383192 | − | 0.112515i | 0.0844624 | − | 0.996427i | \(-0.473083\pi\) |
−0.467655 | + | 0.883911i | \(0.654901\pi\) | |||||||
\(264\) | 2.00660 | + | 3.29272i | 0.123498 | + | 0.202653i | ||||
\(265\) | −6.47482 | + | 14.1779i | −0.397745 | + | 0.870939i | ||||
\(266\) | −6.26820 | + | 21.9889i | −0.384328 | + | 1.34822i | ||||
\(267\) | 7.19725i | 0.440465i | ||||||||
\(268\) | −10.3042 | + | 12.7210i | −0.629426 | + | 0.777060i | ||||
\(269\) | − | 19.2309i | − | 1.17253i | −0.810120 | − | 0.586265i | \(-0.800598\pi\) | ||
0.810120 | − | 0.586265i | \(-0.199402\pi\) | |||||||
\(270\) | −14.3400 | − | 4.08779i | −0.872703 | − | 0.248775i | ||||
\(271\) | −8.12038 | + | 17.7812i | −0.493278 | + | 1.08013i | 0.485318 | + | 0.874338i | \(0.338704\pi\) |
−0.978596 | + | 0.205791i | \(0.934023\pi\) | |||||||
\(272\) | −2.23128 | − | 28.1102i | −0.135291 | − | 1.70443i | ||||
\(273\) | −15.6948 | − | 4.60840i | −0.949891 | − | 0.278913i | ||||
\(274\) | −14.5041 | + | 17.0084i | −0.876227 | + | 1.02752i | ||||
\(275\) | 0.466355 | + | 0.161407i | 0.0281223 | + | 0.00973321i | ||||
\(276\) | 1.75052 | − | 4.58112i | 0.105369 | − | 0.275751i | ||||
\(277\) | 22.5586 | − | 19.5471i | 1.35541 | − | 1.17447i | 0.387887 | − | 0.921707i | \(-0.373205\pi\) |
0.967527 | − | 0.252767i | \(-0.0813405\pi\) | |||||||
\(278\) | 7.16085 | − | 11.3385i | 0.429479 | − | 0.680040i | ||||
\(279\) | −3.75203 | − | 15.4661i | −0.224628 | − | 0.925930i | ||||
\(280\) | −3.77183 | − | 31.5711i | −0.225410 | − | 1.88674i | ||||
\(281\) | −24.8410 | + | 12.8064i | −1.48189 | + | 0.763967i | −0.994046 | − | 0.108964i | \(-0.965247\pi\) |
−0.487843 | + | 0.872931i | \(0.662216\pi\) | |||||||
\(282\) | 0.304495 | + | 0.213224i | 0.0181324 | + | 0.0126973i | ||||
\(283\) | −0.691034 | − | 0.598784i | −0.0410777 | − | 0.0355940i | 0.634080 | − | 0.773267i | \(-0.281379\pi\) |
−0.675158 | + | 0.737673i | \(0.735924\pi\) | |||||||
\(284\) | 2.54357 | + | 0.448661i | 0.150933 | + | 0.0266231i | ||||
\(285\) | −2.48103 | + | 6.19731i | −0.146963 | + | 0.367097i | ||||
\(286\) | −3.58576 | − | 7.69030i | −0.212030 | − | 0.454737i | ||||
\(287\) | −2.81421 | − | 8.13113i | −0.166118 | − | 0.479965i | ||||
\(288\) | −7.90508 | + | 9.88652i | −0.465811 | + | 0.582569i | ||||
\(289\) | 23.6644 | + | 22.5639i | 1.39202 | + | 1.32729i | ||||
\(290\) | 0.674730 | − | 16.9879i | 0.0396215 | − | 0.997565i | ||||
\(291\) | 2.06872 | − | 1.47313i | 0.121270 | − | 0.0863563i | ||||
\(292\) | 11.7405 | − | 11.5542i | 0.687060 | − | 0.676161i | ||||
\(293\) | −11.4309 | + | 17.7869i | −0.667802 | + | 1.03912i | 0.327737 | + | 0.944769i | \(0.393714\pi\) |
−0.995539 | + | 0.0943512i | \(0.969922\pi\) | |||||||
\(294\) | 4.07968 | + | 20.3027i | 0.237932 | + | 1.18408i | ||||
\(295\) | −1.88598 | + | 0.553775i | −0.109806 | + | 0.0322420i | ||||
\(296\) | 0.248980 | + | 1.14505i | 0.0144716 | + | 0.0665547i | ||||
\(297\) | 3.57025 | + | 6.18385i | 0.207167 | + | 0.358823i | ||||
\(298\) | 15.4921 | + | 23.6924i | 0.897432 | + | 1.37246i | ||||
\(299\) | −4.94511 | + | 9.59217i | −0.285983 | + | 0.554729i | ||||
\(300\) | −0.00872233 | − | 0.551823i | −0.000503584 | − | 0.0318595i | ||||
\(301\) | −10.5023 | + | 54.4913i | −0.605345 | + | 3.14083i | ||||
\(302\) | −2.40118 | − | 1.85779i | −0.138172 | − | 0.106904i | ||||
\(303\) | 2.94687 | − | 4.13830i | 0.169293 | − | 0.237739i | ||||
\(304\) | 9.45226 | + | 9.30575i | 0.542124 | + | 0.533722i | ||||
\(305\) | −8.10839 | + | 14.0441i | −0.464285 | + | 0.804165i | ||||
\(306\) | −1.23758 | − | 22.2749i | −0.0707477 | − | 1.27337i | ||||
\(307\) | −13.1089 | + | 0.624453i | −0.748164 | + | 0.0356394i | −0.418201 | − | 0.908354i | \(-0.637339\pi\) |
−0.329963 | + | 0.943994i | \(0.607036\pi\) | |||||||
\(308\) | −9.22168 | + | 12.1156i | −0.525454 | + | 0.690350i | ||||
\(309\) | 2.73405 | + | 3.47663i | 0.155535 | + | 0.197779i | ||||
\(310\) | 19.9911 | − | 11.7535i | 1.13542 | − | 0.667553i | ||||
\(311\) | 0.610268 | + | 4.24451i | 0.0346051 | + | 0.240684i | 0.999781 | − | 0.0209172i | \(-0.00665862\pi\) |
−0.965176 | + | 0.261601i | \(0.915750\pi\) | |||||||
\(312\) | −6.71051 | + | 6.70927i | −0.379908 | + | 0.379838i | ||||
\(313\) | −6.40051 | − | 14.0152i | −0.361778 | − | 0.792184i | −0.999755 | − | 0.0221281i | \(-0.992956\pi\) |
0.637977 | − | 0.770055i | \(-0.279771\pi\) | |||||||
\(314\) | 15.2442 | − | 5.41133i | 0.860279 | − | 0.305379i | ||||
\(315\) | −2.39113 | − | 25.0411i | −0.134725 | − | 1.41091i | ||||
\(316\) | 15.3286 | − | 22.2624i | 0.862300 | − | 1.25236i | ||||
\(317\) | −11.8009 | + | 15.0061i | −0.662807 | + | 0.842828i | −0.994947 | − | 0.100403i | \(-0.967987\pi\) |
0.332140 | + | 0.943230i | \(0.392229\pi\) | |||||||
\(318\) | −5.51578 | − | 6.26483i | −0.309310 | − | 0.351314i | ||||
\(319\) | −5.89218 | + | 5.61818i | −0.329899 | + | 0.314558i | ||||
\(320\) | −17.1227 | − | 6.85857i | −0.957189 | − | 0.383406i | ||||
\(321\) | −1.81872 | + | 12.6495i | −0.101511 | + | 0.706025i | ||||
\(322\) | 19.3643 | − | 0.153031i | 1.07913 | − | 0.00852807i | ||||
\(323\) | −23.3507 | − | 1.11233i | −1.29927 | − | 0.0618918i | ||||
\(324\) | −3.49753 | + | 4.16767i | −0.194307 | + | 0.231537i | ||||
\(325\) | −0.115442 | + | 1.20896i | −0.00640355 | + | 0.0670610i | ||||
\(326\) | 18.5573 | − | 4.65754i | 1.02779 | − | 0.257957i | ||||
\(327\) | 8.14889 | − | 5.23697i | 0.450634 | − | 0.289605i | ||||
\(328\) | −4.92236 | − | 0.828203i | −0.271792 | − | 0.0457299i | ||||
\(329\) | −0.346053 | + | 1.42645i | −0.0190785 | + | 0.0786428i | ||||
\(330\) | −3.04206 | + | 3.24133i | −0.167460 | + | 0.178429i | ||||
\(331\) | −6.08641 | − | 15.2031i | −0.334539 | − | 0.835638i | −0.996302 | − | 0.0859248i | \(-0.972616\pi\) |
0.661763 | − | 0.749714i | \(-0.269809\pi\) | |||||||
\(332\) | −4.78414 | − | 22.8712i | −0.262564 | − | 1.25522i | ||||
\(333\) | 0.175449 | + | 0.910316i | 0.00961455 | + | 0.0498850i | ||||
\(334\) | −8.70194 | − | 4.39947i | −0.476149 | − | 0.240728i | ||||
\(335\) | −17.3008 | − | 7.54046i | −0.945243 | − | 0.411979i | ||||
\(336\) | 16.2590 | + | 5.05782i | 0.887001 | + | 0.275927i | ||||
\(337\) | 32.9466 | − | 6.34993i | 1.79471 | − | 0.345903i | 0.820521 | − | 0.571617i | \(-0.193684\pi\) |
0.974194 | + | 0.225714i | \(0.0724716\pi\) | |||||||
\(338\) | 1.95021 | − | 1.55876i | 0.106077 | − | 0.0847853i | ||||
\(339\) | 0.487535 | + | 1.21780i | 0.0264792 | + | 0.0661419i | ||||
\(340\) | 30.5484 | − | 11.1166i | 1.65672 | − | 0.602880i | ||||
\(341\) | −10.7920 | − | 2.61812i | −0.584421 | − | 0.141779i | ||||
\(342\) | 7.30149 | + | 7.53741i | 0.394820 | + | 0.407577i | ||||
\(343\) | −40.0788 | + | 25.7571i | −2.16405 | + | 1.39075i | ||||
\(344\) | 24.8229 | + | 20.4994i | 1.33836 | + | 1.10525i | ||||
\(345\) | 5.62808 | + | 0.537416i | 0.303006 | + | 0.0289335i | ||||
\(346\) | −8.38117 | − | 1.96325i | −0.450575 | − | 0.105545i | ||||
\(347\) | 32.8556 | + | 1.56511i | 1.76378 | + | 0.0840193i | 0.904234 | − | 0.427037i | \(-0.140442\pi\) |
0.859547 | + | 0.511056i | \(0.170746\pi\) | |||||||
\(348\) | 8.15751 | + | 4.04360i | 0.437289 | + | 0.216760i | ||||
\(349\) | −6.16507 | − | 0.886404i | −0.330009 | − | 0.0474481i | −0.0246809 | − | 0.999695i | \(-0.507857\pi\) |
−0.305328 | + | 0.952247i | \(0.598766\pi\) | |||||||
\(350\) | 2.01666 | − | 0.825901i | 0.107795 | − | 0.0441463i | ||||
\(351\) | −12.7176 | + | 12.1262i | −0.678815 | + | 0.647249i | ||||
\(352\) | 3.60419 | + | 8.06402i | 0.192104 | + | 0.429814i | ||||
\(353\) | 19.1142 | + | 15.0316i | 1.01735 | + | 0.800051i | 0.979949 | − | 0.199249i | \(-0.0638504\pi\) |
0.0373989 | + | 0.999300i | \(0.488093\pi\) | |||||||
\(354\) | 0.141568 | − | 1.04308i | 0.00752424 | − | 0.0554389i | ||||
\(355\) | 0.283036 | + | 2.96408i | 0.0150220 | + | 0.157317i | ||||
\(356\) | −2.08810 | + | 16.3539i | −0.110669 | + | 0.866756i | ||||
\(357\) | −27.2976 | + | 12.4664i | −1.44474 | + | 0.659792i | ||||
\(358\) | −18.6169 | + | 2.82704i | −0.983932 | + | 0.149414i | ||||
\(359\) | −3.97952 | − | 27.6781i | −0.210031 | − | 1.46080i | −0.773046 | − | 0.634350i | \(-0.781268\pi\) |
0.563015 | − | 0.826446i | \(-0.309641\pi\) | |||||||
\(360\) | −13.4141 | − | 5.74573i | −0.706987 | − | 0.302827i | ||||
\(361\) | −6.29126 | + | 4.94750i | −0.331119 | + | 0.260395i | ||||
\(362\) | 1.27639 | − | 6.91624i | 0.0670858 | − | 0.363509i | ||||
\(363\) | −7.46693 | + | 0.355694i | −0.391912 | + | 0.0186691i | ||||
\(364\) | −34.3254 | − | 15.0249i | −1.79914 | − | 0.787516i | ||||
\(365\) | 16.4457 | + | 9.49492i | 0.860806 | + | 0.496987i | ||||
\(366\) | −5.09329 | − | 7.03421i | −0.266231 | − | 0.367684i | ||||
\(367\) | 21.9144 | − | 30.7744i | 1.14392 | − | 1.60641i | 0.436337 | − | 0.899783i | \(-0.356276\pi\) |
0.707584 | − | 0.706629i | \(-0.249785\pi\) | |||||||
\(368\) | 5.30670 | − | 9.90157i | 0.276631 | − | 0.516155i | ||||
\(369\) | −3.87768 | − | 0.747362i | −0.201864 | − | 0.0389061i | ||||
\(370\) | −1.19579 | + | 0.628484i | −0.0621662 | + | 0.0326733i | ||||
\(371\) | 15.1028 | − | 29.2954i | 0.784101 | − | 1.52094i | ||||
\(372\) | 1.37575 | + | 12.3427i | 0.0713293 | + | 0.639937i | ||||
\(373\) | 8.95793 | − | 5.17186i | 0.463824 | − | 0.267789i | −0.249827 | − | 0.968291i | \(-0.580374\pi\) |
0.713651 | + | 0.700502i | \(0.247040\pi\) | |||||||
\(374\) | −14.2110 | − | 6.35469i | −0.734832 | − | 0.328593i | ||||
\(375\) | −9.04715 | + | 2.65648i | −0.467193 | + | 0.137180i | ||||
\(376\) | 0.630026 | + | 0.572838i | 0.0324911 | + | 0.0295419i | ||||
\(377\) | −16.8547 | − | 10.8319i | −0.868063 | − | 0.557870i | ||||
\(378\) | 29.8780 | + | 10.0772i | 1.53676 | + | 0.518315i | ||||
\(379\) | 0.615571 | − | 0.438346i | 0.0316198 | − | 0.0225163i | −0.564138 | − | 0.825681i | \(-0.690791\pi\) |
0.595758 | + | 0.803164i | \(0.296852\pi\) | |||||||
\(380\) | −7.43550 | + | 13.3620i | −0.381433 | + | 0.685456i | ||||
\(381\) | −4.29583 | + | 4.50534i | −0.220082 | + | 0.230816i | ||||
\(382\) | −13.4173 | − | 5.24882i | −0.686487 | − | 0.268553i | ||||
\(383\) | 7.65522 | + | 22.1183i | 0.391164 | + | 1.13019i | 0.953007 | + | 0.302949i | \(0.0979712\pi\) |
−0.561843 | + | 0.827244i | \(0.689908\pi\) | |||||||
\(384\) | 7.09621 | − | 6.87156i | 0.362127 | − | 0.350663i | ||||
\(385\) | −16.2955 | − | 6.52372i | −0.830494 | − | 0.332480i | ||||
\(386\) | 1.38057 | − | 0.417251i | 0.0702693 | − | 0.0212375i | ||||
\(387\) | 19.2486 | + | 16.6790i | 0.978461 | + | 0.847841i | ||||
\(388\) | 5.12803 | − | 2.74712i | 0.260336 | − | 0.139464i | ||||
\(389\) | −5.43025 | − | 10.5332i | −0.275325 | − | 0.534055i | 0.710114 | − | 0.704087i | \(-0.248643\pi\) |
−0.985439 | + | 0.170032i | \(0.945613\pi\) | |||||||
\(390\) | −9.51676 | − | 5.39468i | −0.481900 | − | 0.273170i | ||||
\(391\) | 4.66777 | + | 19.2408i | 0.236059 | + | 0.973049i | ||||
\(392\) | 3.37974 | + | 47.3163i | 0.170703 | + | 2.38983i | ||||
\(393\) | 11.6068 | + | 13.3950i | 0.585487 | + | 0.675688i | ||||
\(394\) | −1.26076 | − | 12.1848i | −0.0635160 | − | 0.613863i | ||||
\(395\) | 29.4463 | + | 10.1915i | 1.48161 | + | 0.512789i | ||||
\(396\) | 2.69940 | + | 6.44562i | 0.135650 | + | 0.323905i | ||||
\(397\) | −0.220505 | + | 0.750970i | −0.0110668 | + | 0.0376901i | −0.964841 | − | 0.262833i | \(-0.915343\pi\) |
0.953774 | + | 0.300523i | \(0.0971613\pi\) | |||||||
\(398\) | −15.7714 | − | 1.38030i | −0.790547 | − | 0.0691884i | ||||
\(399\) | 5.86406 | − | 12.8405i | 0.293570 | − | 0.642829i | ||||
\(400\) | 0.140278 | − | 1.25641i | 0.00701389 | − | 0.0628203i | ||||
\(401\) | 20.1167 | 1.00458 | 0.502291 | − | 0.864699i | \(-0.332491\pi\) | ||||
0.502291 | + | 0.864699i | \(0.332491\pi\) | |||||||
\(402\) | 7.46850 | − | 6.80954i | 0.372495 | − | 0.339629i | ||||
\(403\) | − | 27.3287i | − | 1.36134i | ||||||
\(404\) | 7.89664 | − | 8.54828i | 0.392872 | − | 0.425293i | ||||
\(405\) | −5.70548 | − | 2.60560i | −0.283507 | − | 0.129474i | ||||
\(406\) | −3.13447 | + | 35.8145i | −0.155561 | + | 1.77744i | ||||
\(407\) | 0.620693 | + | 0.182252i | 0.0307666 | + | 0.00903389i | ||||
\(408\) | −1.24355 | + | 17.3646i | −0.0615650 | + | 0.859676i | ||||
\(409\) | 3.34712 | − | 9.67087i | 0.165504 | − | 0.478194i | −0.831501 | − | 0.555523i | \(-0.812518\pi\) |
0.997006 | + | 0.0773293i | \(0.0246393\pi\) | |||||||
\(410\) | −0.592242 | − | 5.72384i | −0.0292487 | − | 0.282681i | ||||
\(411\) | 10.4295 | − | 9.03718i | 0.514447 | − | 0.445771i | ||||
\(412\) | 5.20378 | + | 8.69297i | 0.256372 | + | 0.428272i | ||||
\(413\) | 4.03935 | − | 0.979936i | 0.198763 | − | 0.0482195i | ||||
\(414\) | 4.38289 | − | 7.73186i | 0.215407 | − | 0.380000i | ||||
\(415\) | 23.9427 | − | 12.3433i | 1.17530 | − | 0.605911i | ||||
\(416\) | −17.1944 | + | 13.2982i | −0.843027 | + | 0.651999i | ||||
\(417\) | −5.42176 | + | 6.25705i | −0.265505 | + | 0.306409i | ||||
\(418\) | 7.00945 | − | 2.11847i | 0.342843 | − | 0.103618i | ||||
\(419\) | −2.88926 | + | 7.21702i | −0.141150 | + | 0.352575i | −0.982051 | − | 0.188613i | \(-0.939601\pi\) |
0.840902 | + | 0.541188i | \(0.182025\pi\) | |||||||
\(420\) | −0.624021 | + | 19.6199i | −0.0304491 | + | 0.957352i | ||||
\(421\) | 33.7171 | − | 11.6696i | 1.64327 | − | 0.568741i | 0.660059 | − | 0.751214i | \(-0.270531\pi\) |
0.983211 | + | 0.182472i | \(0.0584100\pi\) | |||||||
\(422\) | 8.29734 | − | 21.2100i | 0.403908 | − | 1.03249i | ||||
\(423\) | 0.487559 | + | 0.464887i | 0.0237060 | + | 0.0226036i | ||||
\(424\) | −10.7156 | − | 15.8355i | −0.520397 | − | 0.769039i | ||||
\(425\) | 1.29241 | + | 1.81493i | 0.0626909 | + | 0.0880370i | ||||
\(426\) | −1.51095 | − | 0.509610i | −0.0732057 | − | 0.0246907i | ||||
\(427\) | 18.5399 | − | 28.8486i | 0.897207 | − | 1.39608i | ||||
\(428\) | −7.80250 | + | 28.2151i | −0.377148 | + | 1.36383i | ||||
\(429\) | 1.47587 | + | 5.02634i | 0.0712554 | + | 0.242674i | ||||
\(430\) | −15.1501 | + | 33.8802i | −0.730605 | + | 1.63385i | ||||
\(431\) | −9.55961 | − | 16.5577i | −0.460470 | − | 0.797558i | 0.538514 | − | 0.842616i | \(-0.318986\pi\) |
−0.998984 | + | 0.0450589i | \(0.985652\pi\) | |||||||
\(432\) | 13.4388 | − | 12.4097i | 0.646573 | − | 0.597063i | ||||
\(433\) | 18.9677 | + | 9.77852i | 0.911529 | + | 0.469926i | 0.849165 | − | 0.528128i | \(-0.177106\pi\) |
0.0623639 | + | 0.998053i | \(0.480136\pi\) | |||||||
\(434\) | −43.4085 | + | 22.8146i | −2.08367 | + | 1.09514i | ||||
\(435\) | −1.98641 | + | 10.3065i | −0.0952412 | + | 0.494158i | ||||
\(436\) | 20.0356 | − | 9.53549i | 0.959533 | − | 0.456667i | ||||
\(437\) | −7.58630 | − | 5.40218i | −0.362902 | − | 0.258421i | ||||
\(438\) | −8.23705 | + | 5.96424i | −0.393582 | + | 0.284982i | ||||
\(439\) | 3.27718 | − | 5.67624i | 0.156411 | − | 0.270912i | −0.777161 | − | 0.629302i | \(-0.783341\pi\) |
0.933572 | + | 0.358390i | \(0.116674\pi\) | |||||||
\(440\) | −7.85270 | + | 6.48251i | −0.374363 | + | 0.309042i | ||||
\(441\) | 1.78572 | + | 37.4870i | 0.0850345 | + | 1.78509i | ||||
\(442\) | 6.95260 | − | 37.6732i | 0.330701 | − | 1.79193i | ||||
\(443\) | 16.2612 | + | 20.6778i | 0.772594 | + | 0.982433i | 0.999963 | + | 0.00862401i | \(0.00274514\pi\) |
−0.227369 | + | 0.973809i | \(0.573012\pi\) | |||||||
\(444\) | −0.0458391 | − | 0.721989i | −0.00217543 | − | 0.0342641i | ||||
\(445\) | −18.8129 | + | 2.70488i | −0.891815 | + | 0.128224i | ||||
\(446\) | −0.325975 | − | 2.14664i | −0.0154354 | − | 0.101646i | ||||
\(447\) | −7.26001 | − | 15.8972i | −0.343387 | − | 0.751912i | ||||
\(448\) | 35.4770 | + | 16.2097i | 1.67613 | + | 0.765838i | ||||
\(449\) | −11.3082 | + | 1.07980i | −0.533666 | + | 0.0509589i | −0.358410 | − | 0.933564i | \(-0.616681\pi\) |
−0.175255 | + | 0.984523i | \(0.556075\pi\) | |||||||
\(450\) | 0.134512 | − | 0.991091i | 0.00634097 | − | 0.0467205i | ||||
\(451\) | −1.70339 | + | 2.16604i | −0.0802097 | + | 0.101995i | ||||
\(452\) | 0.754484 | + | 2.90859i | 0.0354879 | + | 0.136809i | ||||
\(453\) | 1.29343 | + | 1.35651i | 0.0607707 | + | 0.0637344i | ||||
\(454\) | 7.14347 | + | 17.4428i | 0.335260 | + | 0.818629i | ||||
\(455\) | 6.14745 | − | 42.7564i | 0.288197 | − | 2.00445i | ||||
\(456\) | −4.90691 | − | 6.55612i | −0.229787 | − | 0.307019i | ||||
\(457\) | −1.66608 | + | 34.9753i | −0.0779360 | + | 1.63608i | 0.534223 | + | 0.845343i | \(0.320604\pi\) |
−0.612159 | + | 0.790734i | \(0.709699\pi\) | |||||||
\(458\) | 23.4296 | + | 5.48829i | 1.09480 | + | 0.256451i | ||||
\(459\) | −3.06444 | + | 32.0923i | −0.143036 | + | 1.49794i | ||||
\(460\) | 12.6325 | + | 2.85398i | 0.588992 | + | 0.133068i | ||||
\(461\) | −11.2357 | − | 17.4831i | −0.523298 | − | 0.814267i | 0.474523 | − | 0.880243i | \(-0.342620\pi\) |
−0.997821 | + | 0.0659755i | \(0.978984\pi\) | |||||||
\(462\) | 6.75167 | − | 6.54034i | 0.314116 | − | 0.304284i | ||||
\(463\) | −4.51617 | + | 18.6159i | −0.209884 | + | 0.865155i | 0.765285 | + | 0.643692i | \(0.222598\pi\) |
−0.975169 | + | 0.221463i | \(0.928917\pi\) | |||||||
\(464\) | 17.3627 | + | 11.5547i | 0.806044 | + | 0.536415i | ||||
\(465\) | −13.2915 | + | 5.32112i | −0.616379 | + | 0.246761i | ||||
\(466\) | −28.7919 | + | 23.0128i | −1.33376 | + | 1.06605i | ||||
\(467\) | −1.98399 | − | 10.2939i | −0.0918083 | − | 0.476347i | −0.998510 | − | 0.0545737i | \(-0.982620\pi\) |
0.906701 | − | 0.421773i | \(-0.138592\pi\) | |||||||
\(468\) | −13.8489 | + | 10.1954i | −0.640165 | + | 0.471283i | ||||
\(469\) | 35.7845 | + | 17.6680i | 1.65238 | + | 0.815830i | ||||
\(470\) | −0.442909 | + | 0.876053i | −0.0204299 | + | 0.0404093i | ||||
\(471\) | −9.80625 | + | 1.89000i | −0.451848 | + | 0.0870866i | ||||
\(472\) | 0.624298 | − | 2.32905i | 0.0287357 | − | 0.107203i | ||||
\(473\) | 16.4992 | − | 6.60530i | 0.758636 | − | 0.303712i | ||||
\(474\) | −11.4197 | + | 12.1677i | −0.524523 | + | 0.558881i | ||||
\(475\) | −1.01852 | − | 0.247089i | −0.0467327 | − | 0.0113372i | ||||
\(476\) | −65.6437 | + | 20.4070i | −3.00877 | + | 0.935354i | ||||
\(477\) | −8.17826 | − | 12.7256i | −0.374457 | − | 0.582666i | ||||
\(478\) | −4.85209 | − | 19.3325i | −0.221929 | − | 0.884247i | ||||
\(479\) | 0.0149818 | + | 0.00143059i | 0.000684535 | + | 6.53651e-5i | 0.0953983 | − | 0.995439i | \(-0.469588\pi\) |
−0.0947138 | + | 0.995505i | \(0.530194\pi\) | |||||||
\(480\) | 9.81560 | + | 5.77338i | 0.448019 | + | 0.263517i | ||||
\(481\) | −0.0757486 | + | 1.59016i | −0.00345384 | + | 0.0725050i | ||||
\(482\) | −0.364662 | + | 0.00288181i | −0.0166099 | + | 0.000131263i | ||||
\(483\) | −11.8337 | − | 1.70143i | −0.538453 | − | 0.0774179i | ||||
\(484\) | −17.0699 | − | 1.35811i | −0.775904 | − | 0.0617324i | ||||
\(485\) | 4.62807 | + | 4.85378i | 0.210150 | + | 0.220399i | ||||
\(486\) | 17.0831 | − | 15.0406i | 0.774904 | − | 0.682254i | ||||
\(487\) | 29.4875 | + | 23.1892i | 1.33621 | + | 1.05080i | 0.993792 | + | 0.111254i | \(0.0354868\pi\) |
0.342413 | + | 0.939549i | \(0.388756\pi\) | |||||||
\(488\) | −9.53241 | − | 17.4611i | −0.431512 | − | 0.790429i | ||||
\(489\) | −11.7586 | + | 1.12281i | −0.531744 | + | 0.0507754i | ||||
\(490\) | −51.5359 | + | 18.2941i | −2.32815 | + | 0.826441i | ||||
\(491\) | 18.8673 | − | 8.61642i | 0.851471 | − | 0.388854i | 0.0586280 | − | 0.998280i | \(-0.481327\pi\) |
0.792843 | + | 0.609426i | \(0.208600\pi\) | |||||||
\(492\) | 2.92773 | + | 0.961759i | 0.131992 | + | 0.0433595i | ||||
\(493\) | −36.3829 | + | 5.23107i | −1.63860 | + | 0.235596i | ||||
\(494\) | 9.13320 | + | 15.5344i | 0.410922 | + | 0.698924i | ||||
\(495\) | −6.33246 | + | 4.97990i | −0.284623 | + | 0.223830i | ||||
\(496\) | −0.454861 | + | 28.4447i | −0.0204239 | + | 1.27720i | ||||
\(497\) | −0.299596 | − | 6.28930i | −0.0134387 | − | 0.282114i | ||||
\(498\) | 0.800249 | + | 14.4035i | 0.0358600 | + | 0.645434i | ||||
\(499\) | 12.9217 | + | 7.46032i | 0.578453 | + | 0.333970i | 0.760518 | − | 0.649317i | \(-0.224945\pi\) |
−0.182066 | + | 0.983286i | \(0.558278\pi\) | |||||||
\(500\) | −21.3280 | + | 3.41138i | −0.953819 | + | 0.152562i | ||||
\(501\) | 4.90368 | + | 3.49190i | 0.219080 | + | 0.156006i | ||||
\(502\) | 1.50972 | − | 1.95131i | 0.0673822 | − | 0.0870911i | ||||
\(503\) | 19.8637 | + | 3.82842i | 0.885680 | + | 0.170701i | 0.611752 | − | 0.791049i | \(-0.290465\pi\) |
0.273928 | + | 0.961750i | \(0.411677\pi\) | |||||||
\(504\) | 27.7556 | + | 13.4860i | 1.23633 | + | 0.600715i | ||||
\(505\) | 11.9246 | + | 6.14755i | 0.530637 | + | 0.273563i | ||||
\(506\) | −3.39403 | − | 5.19056i | −0.150883 | − | 0.230749i | ||||
\(507\) | −1.33484 | + | 0.770670i | −0.0592823 | + | 0.0342266i | ||||
\(508\) | −11.0683 | + | 8.99091i | −0.491076 | + | 0.398907i | ||||
\(509\) | −10.6649 | − | 36.3212i | −0.472711 | − | 1.60991i | −0.758540 | − | 0.651627i | \(-0.774087\pi\) |
0.285828 | − | 0.958281i | \(-0.407731\pi\) | |||||||
\(510\) | −19.6764 | + | 3.95383i | −0.871284 | + | 0.175078i | ||||
\(511\) | −33.7817 | − | 21.7102i | −1.49441 | − | 0.960402i | ||||
\(512\) | 18.1179 | − | 13.5551i | 0.800707 | − | 0.599056i | ||||
\(513\) | −8.79629 | − | 12.3527i | −0.388366 | − | 0.545383i | ||||
\(514\) | −1.52386 | + | 38.3667i | −0.0672145 | + | 1.69228i | ||||
\(515\) | −8.06004 | + | 8.45312i | −0.355168 | + | 0.372489i | ||||
\(516\) | −13.2513 | − | 14.8131i | −0.583356 | − | 0.652112i | ||||
\(517\) | 0.444225 | − | 0.153748i | 0.0195370 | − | 0.00676182i | ||||
\(518\) | 2.58902 | − | 1.20718i | 0.113755 | − | 0.0530406i | ||||
\(519\) | 4.93370 | + | 1.97516i | 0.216565 | + | 0.0866997i | ||||
\(520\) | −20.0593 | − | 15.0191i | −0.879658 | − | 0.658630i | ||||
\(521\) | 6.53746 | − | 7.54463i | 0.286411 | − | 0.330536i | −0.594252 | − | 0.804279i | \(-0.702552\pi\) |
0.880663 | + | 0.473743i | \(0.157097\pi\) | |||||||
\(522\) | 13.5159 | + | 9.46455i | 0.591574 | + | 0.414252i | ||||
\(523\) | −8.75024 | − | 16.9731i | −0.382621 | − | 0.742182i | 0.616353 | − | 0.787470i | \(-0.288610\pi\) |
−0.998974 | + | 0.0452885i | \(0.985579\pi\) | |||||||
\(524\) | 22.4873 | + | 33.8041i | 0.982364 | + | 1.47674i | ||||
\(525\) | −1.30748 | + | 0.317190i | −0.0570629 | + | 0.0138433i | ||||
\(526\) | 7.74428 | + | 4.89091i | 0.337667 | + | 0.213254i | ||||
\(527\) | −32.8332 | − | 37.8915i | −1.43024 | − | 1.65058i | ||||
\(528\) | −1.45247 | − | 5.25616i | −0.0632109 | − | 0.228745i | ||||
\(529\) | 4.94277 | − | 14.2812i | 0.214903 | − | 0.620922i | ||||
\(530\) | 14.3027 | − | 16.7721i | 0.621267 | − | 0.728535i | ||||
\(531\) | 0.537453 | − | 1.83040i | 0.0233235 | − | 0.0794324i | ||||
\(532\) | 17.0499 | − | 27.4755i | 0.739208 | − | 1.19121i | ||||
\(533\) | −6.16848 | − | 2.81705i | −0.267187 | − | 0.122020i | ||||
\(534\) | 2.79034 | − | 9.78851i | 0.120750 | − | 0.423590i | ||||
\(535\) | −33.7479 | −1.45905 | ||||||||
\(536\) | 18.9459 | − | 13.3062i | 0.818337 | − | 0.574739i | ||||
\(537\) | 11.6253 | 0.501670 | ||||||||
\(538\) | −7.45572 | + | 26.1547i | −0.321439 | + | 1.12761i | ||||
\(539\) | 23.8211 | + | 10.8787i | 1.02605 | + | 0.468579i | ||||
\(540\) | 17.9180 | + | 11.1191i | 0.771070 | + | 0.478488i | ||||
\(541\) | 6.08436 | − | 20.7214i | 0.261587 | − | 0.890884i | −0.719035 | − | 0.694974i | \(-0.755416\pi\) |
0.980622 | − | 0.195910i | \(-0.0627660\pi\) | |||||||
\(542\) | 17.9377 | − | 21.0348i | 0.770488 | − | 0.903520i | ||||
\(543\) | −1.42013 | + | 4.10320i | −0.0609437 | + | 0.176085i | ||||
\(544\) | −7.86355 | + | 39.0959i | −0.337147 | + | 1.67622i | ||||
\(545\) | 16.7514 | + | 19.3322i | 0.717552 | + | 0.828099i | ||||
\(546\) | 19.5588 | + | 12.3524i | 0.837039 | + | 0.528632i | ||||
\(547\) | 31.0997 | − | 7.54471i | 1.32973 | − | 0.322588i | 0.492915 | − | 0.870078i | \(-0.335931\pi\) |
0.836813 | + | 0.547489i | \(0.184416\pi\) | |||||||
\(548\) | 26.3202 | − | 17.5088i | 1.12434 | − | 0.747941i | ||||
\(549\) | −7.21194 | − | 13.9892i | −0.307798 | − | 0.597045i | ||||
\(550\) | −0.571682 | − | 0.400323i | −0.0243766 | − | 0.0170698i | ||||
\(551\) | 11.3226 | − | 13.0670i | 0.482360 | − | 0.556673i | ||||
\(552\) | −4.15684 | + | 5.55182i | −0.176927 | + | 0.236301i | ||||
\(553\) | −61.1720 | − | 24.4896i | −2.60130 | − | 1.04140i | ||||
\(554\) | −38.2588 | + | 17.8389i | −1.62546 | + | 0.757903i | ||||
\(555\) | 0.788136 | − | 0.272776i | 0.0334545 | − | 0.0115787i | ||||
\(556\) | −14.1349 | + | 12.6446i | −0.599453 | + | 0.536249i | ||||
\(557\) | −12.0927 | + | 12.6825i | −0.512386 | + | 0.537375i | −0.928203 | − | 0.372073i | \(-0.878647\pi\) |
0.415817 | + | 0.909448i | \(0.363496\pi\) | |||||||
\(558\) | −0.893224 | + | 22.4890i | −0.0378132 | + | 0.952037i | ||||
\(559\) | 25.3695 | + | 35.6265i | 1.07302 | + | 1.50684i | ||||
\(560\) | −7.11013 | + | 44.4001i | −0.300458 | + | 1.87625i | ||||
\(561\) | 8.08504 | + | 5.19594i | 0.341351 | + | 0.219373i | ||||
\(562\) | 38.7496 | − | 7.78645i | 1.63455 | − | 0.328452i | ||||
\(563\) | −3.28526 | − | 11.1886i | −0.138457 | − | 0.471542i | 0.860846 | − | 0.508866i | \(-0.169935\pi\) |
−0.999303 | + | 0.0373234i | \(0.988117\pi\) | |||||||
\(564\) | −0.331458 | − | 0.408043i | −0.0139569 | − | 0.0171817i | ||||
\(565\) | −2.99998 | + | 1.73204i | −0.126210 | + | 0.0728675i | ||||
\(566\) | 0.707685 | + | 1.08228i | 0.0297462 | + | 0.0454915i | ||||
\(567\) | 11.7891 | + | 6.07771i | 0.495096 | + | 0.255240i | ||||
\(568\) | −3.28540 | − | 1.59632i | −0.137852 | − | 0.0669802i | ||||
\(569\) | 5.76879 | + | 1.11184i | 0.241840 | + | 0.0466109i | 0.308731 | − | 0.951149i | \(-0.400096\pi\) |
−0.0668906 | + | 0.997760i | \(0.521308\pi\) | |||||||
\(570\) | 5.77695 | − | 7.46667i | 0.241970 | − | 0.312744i | ||||
\(571\) | 2.14581 | + | 1.52803i | 0.0897995 | + | 0.0639459i | 0.624075 | − | 0.781365i | \(-0.285476\pi\) |
−0.534275 | + | 0.845311i | \(0.679415\pi\) | |||||||
\(572\) | 1.89527 | + | 11.8492i | 0.0792451 | + | 0.495442i | ||||
\(573\) | 7.70308 | + | 4.44737i | 0.321801 | + | 0.185792i | ||||
\(574\) | 0.675029 | + | 12.1497i | 0.0281752 | + | 0.507117i | ||||
\(575\) | 0.0422353 | + | 0.886628i | 0.00176133 | + | 0.0369750i | ||||
\(576\) | 14.5841 | − | 10.3812i | 0.607672 | − | 0.432552i | ||||
\(577\) | 33.0559 | − | 25.9954i | 1.37613 | − | 1.08220i | 0.389186 | − | 0.921159i | \(-0.372756\pi\) |
0.986947 | − | 0.161044i | \(-0.0514862\pi\) | |||||||
\(578\) | −23.4364 | − | 39.8622i | −0.974827 | − | 1.65805i | ||||
\(579\) | −0.881343 | + | 0.126718i | −0.0366274 | + | 0.00526622i | ||||
\(580\) | −7.50378 | + | 22.8426i | −0.311577 | + | 0.948486i | ||||
\(581\) | −51.8145 | + | 23.6629i | −2.14963 | + | 0.981703i | ||||
\(582\) | −3.38465 | + | 1.20147i | −0.140298 | + | 0.0498027i | ||||
\(583\) | −10.5076 | + | 1.00335i | −0.435181 | + | 0.0415547i | ||||
\(584\) | −20.4470 | + | 11.1624i | −0.846102 | + | 0.461905i | ||||
\(585\) | −15.5837 | − | 12.2551i | −0.644306 | − | 0.506688i | ||||
\(586\) | 22.4423 | − | 19.7590i | 0.927084 | − | 0.816239i | ||||
\(587\) | −3.34347 | − | 3.50653i | −0.138000 | − | 0.144730i | 0.651107 | − | 0.758986i | \(-0.274305\pi\) |
−0.789107 | + | 0.614256i | \(0.789456\pi\) | |||||||
\(588\) | 2.32273 | − | 29.1940i | 0.0957879 | − | 1.20394i | ||||
\(589\) | 23.3442 | + | 3.35639i | 0.961880 | + | 0.138297i | ||||
\(590\) | 2.77970 | − | 0.0219671i | 0.114438 | − | 0.000904372i | ||||
\(591\) | −0.359851 | + | 7.55420i | −0.0148023 | + | 0.310738i | ||||
\(592\) | 0.105309 | − | 1.65383i | 0.00432816 | − | 0.0679722i | ||||
\(593\) | 3.12054 | + | 0.297976i | 0.128145 | + | 0.0122364i | 0.158932 | − | 0.987290i | \(-0.449195\pi\) |
−0.0307863 | + | 0.999526i | \(0.509801\pi\) | |||||||
\(594\) | −2.45821 | − | 9.79441i | −0.100862 | − | 0.401869i | ||||
\(595\) | −42.8449 | − | 66.6680i | −1.75647 | − | 2.73312i | ||||
\(596\) | −11.8844 | − | 38.2286i | −0.486802 | − | 1.56591i | ||||
\(597\) | 9.49853 | + | 2.30432i | 0.388749 | + | 0.0943095i | ||||
\(598\) | 10.4443 | − | 11.1285i | 0.427101 | − | 0.455078i | ||||
\(599\) | 32.7597 | − | 13.1150i | 1.33853 | − | 0.535865i | 0.411687 | − | 0.911325i | \(-0.364940\pi\) |
0.926838 | + | 0.375461i | \(0.122515\pi\) | |||||||
\(600\) | −0.202076 | + | 0.753879i | −0.00824971 | + | 0.0307770i | ||||
\(601\) | −27.3703 | + | 5.27519i | −1.11646 | + | 0.215180i | −0.713923 | − | 0.700225i | \(-0.753083\pi\) |
−0.402536 | + | 0.915404i | \(0.631871\pi\) | |||||||
\(602\) | 35.4095 | − | 70.0384i | 1.44319 | − | 2.85455i | ||||
\(603\) | 15.2343 | − | 10.1688i | 0.620388 | − | 0.414107i | ||||
\(604\) | 2.54543 | + | 3.45758i | 0.103572 | + | 0.140687i | ||||
\(605\) | −3.73598 | − | 19.3841i | −0.151889 | − | 0.788076i | ||||
\(606\) | −5.61224 | + | 4.48575i | −0.227982 | + | 0.182221i | ||||
\(607\) | −33.5288 | + | 13.4229i | −1.36089 | + | 0.544819i | −0.933282 | − | 0.359145i | \(-0.883069\pi\) |
−0.427610 | + | 0.903963i | \(0.640644\pi\) | |||||||
\(608\) | −9.24761 | − | 16.3207i | −0.375040 | − | 0.661893i | ||||
\(609\) | 5.23278 | − | 21.5698i | 0.212043 | − | 0.874052i | ||||
\(610\) | 16.4725 | − | 15.9569i | 0.666953 | − | 0.646078i | ||||
\(611\) | 0.625429 | + | 0.973186i | 0.0253021 | + | 0.0393709i | ||||
\(612\) | −6.95269 | + | 30.7744i | −0.281046 | + | 1.24398i | ||||
\(613\) | −3.35814 | + | 35.1680i | −0.135634 | + | 1.42042i | 0.629724 | + | 0.776819i | \(0.283168\pi\) |
−0.765358 | + | 0.643605i | \(0.777438\pi\) | |||||||
\(614\) | 18.0706 | + | 4.23297i | 0.729272 | + | 0.170829i | ||||
\(615\) | −0.169040 | + | 3.54859i | −0.00681637 | + | 0.143093i | ||||
\(616\) | 17.2390 | − | 12.9024i | 0.694577 | − | 0.519854i | ||||
\(617\) | 3.07617 | − | 21.3952i | 0.123842 | − | 0.861338i | −0.829298 | − | 0.558807i | \(-0.811259\pi\) |
0.953139 | − | 0.302531i | \(-0.0978317\pi\) | |||||||
\(618\) | −2.37053 | − | 5.78831i | −0.0953569 | − | 0.232840i | ||||
\(619\) | −5.43299 | − | 5.69796i | −0.218371 | − | 0.229020i | 0.605432 | − | 0.795897i | \(-0.293000\pi\) |
−0.823803 | + | 0.566876i | \(0.808152\pi\) | |||||||
\(620\) | −31.7454 | + | 8.23470i | −1.27492 | + | 0.330714i | ||||
\(621\) | −7.93921 | + | 10.0955i | −0.318590 | + | 0.405120i | ||||
\(622\) | 0.815587 | − | 6.00927i | 0.0327020 | − | 0.240950i | ||||
\(623\) | 40.0093 | − | 3.82042i | 1.60294 | − | 0.153062i | ||||
\(624\) | 11.7277 | − | 6.52321i | 0.469483 | − | 0.261137i | ||||
\(625\) | −11.0003 | − | 24.0874i | −0.440014 | − | 0.963496i | ||||
\(626\) | 3.27131 | + | 21.5425i | 0.130748 | + | 0.861013i | ||||
\(627\) | −4.47476 | + | 0.643373i | −0.178705 | + | 0.0256938i | ||||
\(628\) | −22.8306 | + | 1.44951i | −0.911038 | + | 0.0578419i | ||||
\(629\) | 1.80542 | + | 2.29578i | 0.0719869 | + | 0.0915388i | ||||
\(630\) | −6.45627 | + | 34.9838i | −0.257224 | + | 1.39379i | ||||
\(631\) | −1.46882 | − | 30.8342i | −0.0584726 | − | 1.22749i | −0.817305 | − | 0.576205i | \(-0.804533\pi\) |
0.758832 | − | 0.651286i | \(-0.225770\pi\) | |||||||
\(632\) | −29.4784 | + | 24.3349i | −1.17259 | + | 0.967989i | ||||
\(633\) | −7.03042 | + | 12.1770i | −0.279434 | + | 0.483994i | ||||
\(634\) | 21.8675 | − | 15.8337i | 0.868468 | − | 0.628835i | ||||
\(635\) | −13.3910 | − | 9.53566i | −0.531404 | − | 0.378411i | ||||
\(636\) | 5.07281 | + | 10.6588i | 0.201150 | + | 0.422650i | ||||
\(637\) | −12.1964 | + | 63.2810i | −0.483239 | + | 2.50728i | ||||
\(638\) | 10.1917 | − | 5.35656i | 0.403494 | − | 0.212068i | ||||
\(639\) | −2.56856 | − | 1.32418i | −0.101611 | − | 0.0523839i | ||||
\(640\) | 20.6284 | + | 15.9663i | 0.815411 | + | 0.631122i | ||||
\(641\) | −7.91321 | − | 13.7061i | −0.312553 | − | 0.541357i | 0.666361 | − | 0.745629i | \(-0.267851\pi\) |
−0.978914 | + | 0.204272i | \(0.934517\pi\) | |||||||
\(642\) | 7.37765 | − | 16.4986i | 0.291173 | − | 0.651148i | ||||
\(643\) | 3.39142 | + | 11.5501i | 0.133744 | + | 0.455492i | 0.998944 | − | 0.0459352i | \(-0.0146268\pi\) |
−0.865200 | + | 0.501427i | \(0.832809\pi\) | |||||||
\(644\) | −26.3955 | − | 7.29932i | −1.04013 | − | 0.287634i | ||||
\(645\) | 12.3876 | − | 19.2754i | 0.487760 | − | 0.758970i | ||||
\(646\) | 31.3266 | + | 10.5658i | 1.23253 | + | 0.415704i | ||||
\(647\) | −2.66439 | − | 3.74161i | −0.104748 | − | 0.147098i | 0.758875 | − | 0.651237i | \(-0.225749\pi\) |
−0.863623 | + | 0.504139i | \(0.831810\pi\) | |||||||
\(648\) | 6.37254 | − | 4.31220i | 0.250337 | − | 0.169399i | ||||
\(649\) | −0.963396 | − | 0.918596i | −0.0378166 | − | 0.0360580i | ||||
\(650\) | 0.625711 | − | 1.59947i | 0.0245424 | − | 0.0627363i | ||||
\(651\) | 28.6101 | − | 9.90206i | 1.12132 | − | 0.388093i | ||||
\(652\) | −27.0443 | − | 0.860157i | −1.05914 | − | 0.0336864i | ||||
\(653\) | −7.26785 | + | 18.1542i | −0.284413 | + | 0.710429i | 0.715517 | + | 0.698595i | \(0.246191\pi\) |
−0.999930 | + | 0.0118339i | \(0.996233\pi\) | |||||||
\(654\) | −13.1131 | + | 3.96318i | −0.512763 | + | 0.154973i | ||||
\(655\) | −30.6510 | + | 35.3731i | −1.19763 | + | 1.38214i | ||||
\(656\) | 6.37349 | + | 3.03476i | 0.248843 | + | 0.118487i | ||||
\(657\) | −16.3813 | + | 8.44517i | −0.639097 | + | 0.329477i | ||||
\(658\) | 1.02367 | − | 1.80586i | 0.0399069 | − | 0.0703997i | ||||
\(659\) | 6.36080 | − | 1.54311i | 0.247781 | − | 0.0601111i | −0.109945 | − | 0.993938i | \(-0.535067\pi\) |
0.357726 | + | 0.933827i | \(0.383552\pi\) | |||||||
\(660\) | 5.39395 | − | 3.22893i | 0.209959 | − | 0.125686i | ||||
\(661\) | 28.2626 | − | 24.4897i | 1.09929 | − | 0.952538i | 0.100188 | − | 0.994969i | \(-0.468056\pi\) |
0.999099 | + | 0.0424307i | \(0.0135102\pi\) | |||||||
\(662\) | 2.38356 | + | 23.0364i | 0.0926397 | + | 0.895335i | ||||
\(663\) | −7.73555 | + | 22.3504i | −0.300424 | + | 0.868017i | ||||
\(664\) | −2.36043 | + | 32.9604i | −0.0916025 | + | 1.27911i | ||||
\(665\) | 35.7676 | + | 10.5023i | 1.38701 | + | 0.407262i | ||||
\(666\) | 0.114308 | − | 1.30608i | 0.00442934 | − | 0.0506097i | ||||
\(667\) | −13.3202 | − | 6.08315i | −0.515762 | − | 0.235540i | ||||
\(668\) | 10.1293 | + | 9.35712i | 0.391914 | + | 0.362038i | ||||
\(669\) | 1.34047i | 0.0518256i | ||||||||
\(670\) | 20.6063 | + | 16.9627i | 0.796089 | + | 0.655326i | ||||
\(671\) | −10.9823 | −0.423968 | ||||||||
\(672\) | −20.1519 | − | 13.1823i | −0.777376 | − | 0.508519i | ||||
\(673\) | −4.55955 | + | 9.98403i | −0.175758 | + | 0.384856i | −0.976924 | − | 0.213585i | \(-0.931486\pi\) |
0.801166 | + | 0.598442i | \(0.204213\pi\) | |||||||
\(674\) | −47.2703 | − | 4.13708i | −1.82078 | − | 0.159354i | ||||
\(675\) | −0.407194 | + | 1.38677i | −0.0156729 | + | 0.0533770i | ||||
\(676\) | −3.25667 | + | 1.36388i | −0.125257 | + | 0.0524570i | ||||
\(677\) | −31.1896 | − | 10.7948i | −1.19871 | − | 0.414879i | −0.346489 | − | 0.938054i | \(-0.612626\pi\) |
−0.852226 | + | 0.523175i | \(0.824748\pi\) | |||||||
\(678\) | −0.190928 | − | 1.84527i | −0.00733256 | − | 0.0708671i | ||||
\(679\) | −9.28717 | − | 10.7180i | −0.356409 | − | 0.411318i | ||||
\(680\) | −45.8566 | + | 3.27548i | −1.75852 | + | 0.125609i | ||||
\(681\) | −2.74348 | − | 11.3088i | −0.105130 | − | 0.433353i | ||||
\(682\) | 13.6625 | + | 7.74473i | 0.523164 | + | 0.296561i | ||||
\(683\) | 7.04247 | + | 13.6605i | 0.269473 | + | 0.522704i | 0.984279 | − | 0.176618i | \(-0.0565157\pi\) |
−0.714807 | + | 0.699322i | \(0.753485\pi\) | |||||||
\(684\) | −7.00807 | − | 13.0819i | −0.267960 | − | 0.500199i | ||||
\(685\) | 27.5419 | + | 23.8652i | 1.05232 | + | 0.911841i | ||||
\(686\) | 64.4944 | − | 19.4922i | 2.46241 | − | 0.744215i | ||||
\(687\) | −13.7922 | − | 5.52157i | −0.526205 | − | 0.210661i | ||||
\(688\) | −25.8125 | − | 37.5036i | −0.984094 | − | 1.42981i | ||||
\(689\) | −8.49592 | − | 24.5474i | −0.323669 | − | 0.935180i | ||||
\(690\) | −7.44603 | − | 2.91288i | −0.283465 | − | 0.110891i | ||||
\(691\) | −25.1830 | + | 26.4111i | −0.958005 | + | 1.00473i | 0.0419791 | + | 0.999118i | \(0.486634\pi\) |
−0.999984 | + | 0.00560846i | \(0.998215\pi\) | |||||||
\(692\) | 10.6375 | + | 5.91943i | 0.404379 | + | 0.225023i | ||||
\(693\) | 13.8767 | − | 9.88154i | 0.527131 | − | 0.375369i | ||||
\(694\) | −44.0780 | − | 14.8665i | −1.67318 | − | 0.564326i | ||||
\(695\) | −18.3929 | − | 11.8204i | −0.697682 | − | 0.448373i | ||||
\(696\) | −9.52682 | − | 8.66206i | −0.361113 | − | 0.328334i | ||||
\(697\) | −11.9371 | + | 3.50506i | −0.452151 | + | 0.132764i | ||||
\(698\) | 8.04106 | + | 3.59570i | 0.304358 | + | 0.136099i | ||||
\(699\) | 19.7069 | − | 11.3778i | 0.745384 | − | 0.430347i | ||||
\(700\) | −3.06293 | + | 0.341404i | −0.115768 | + | 0.0129038i | ||||
\(701\) | −11.3327 | + | 21.9824i | −0.428032 | + | 0.830265i | 0.571919 | + | 0.820310i | \(0.306199\pi\) |
−0.999950 | + | 0.00995515i | \(0.996831\pi\) | |||||||
\(702\) | 21.9976 | − | 11.5615i | 0.830247 | − | 0.436361i | ||||
\(703\) | −1.34901 | − | 0.260001i | −0.0508790 | − | 0.00980612i | ||||
\(704\) | −1.77544 | − | 12.3647i | −0.0669145 | − | 0.466011i | ||||
\(705\) | 0.351541 | − | 0.493670i | 0.0132398 | − | 0.0185927i | ||||
\(706\) | −20.1683 | − | 27.8540i | −0.759045 | − | 1.04830i | ||||
\(707\) | −24.5689 | − | 14.1849i | −0.924009 | − | 0.533477i | ||||
\(708\) | −0.596932 | + | 1.36373i | −0.0224341 | + | 0.0512523i | ||||
\(709\) | 38.4562 | − | 1.83190i | 1.44425 | − | 0.0687983i | 0.689253 | − | 0.724521i | \(-0.257939\pi\) |
0.755002 | + | 0.655723i | \(0.227636\pi\) | |||||||
\(710\) | 0.764220 | − | 4.14099i | 0.0286807 | − | 0.155408i | ||||
\(711\) | −23.7716 | + | 18.6942i | −0.891504 | + | 0.701086i | ||||
\(712\) | 9.18021 | − | 21.4324i | 0.344043 | − | 0.803211i | ||||
\(713\) | −2.84263 | − | 19.7709i | −0.106457 | − | 0.740426i | ||||
\(714\) | 41.9588 | − | 6.37160i | 1.57027 | − | 0.238451i | ||||
\(715\) | −12.5837 | + | 5.74676i | −0.470602 | + | 0.214917i | ||||
\(716\) | 26.4156 | + | 3.37279i | 0.987197 | + | 0.126047i | ||||
\(717\) | 1.16972 | + | 12.2498i | 0.0436838 | + | 0.457478i | ||||
\(718\) | −5.31838 | + | 39.1860i | −0.198480 | + | 1.46241i | ||||
\(719\) | 35.6407 | + | 28.0282i | 1.32918 | + | 1.04528i | 0.994695 | + | 0.102873i | \(0.0328034\pi\) |
0.334481 | + | 0.942403i | \(0.391439\pi\) | |||||||
\(720\) | 16.0161 | + | 13.0150i | 0.596884 | + | 0.485040i | ||||
\(721\) | 17.8752 | − | 17.0440i | 0.665707 | − | 0.634750i | ||||
\(722\) | 10.4744 | − | 4.28968i | 0.389819 | − | 0.159646i | ||||
\(723\) | 0.222848 | + | 0.0320407i | 0.00828781 | + | 0.00119161i | ||||
\(724\) | −4.41733 | + | 8.91147i | −0.164169 | + | 0.331192i | ||||
\(725\) | −1.64604 | − | 0.0784107i | −0.0611325 | − | 0.00291210i | ||||
\(726\) | 10.2932 | + | 2.41113i | 0.382016 | + | 0.0894855i | ||||
\(727\) | −20.0742 | − | 1.91685i | −0.744511 | − | 0.0710921i | −0.284096 | − | 0.958796i | \(-0.591693\pi\) |
−0.460415 | + | 0.887704i | \(0.652299\pi\) | |||||||
\(728\) | 40.8586 | + | 33.7421i | 1.51432 | + | 1.25056i | ||||
\(729\) | −4.95556 | + | 3.18475i | −0.183539 | + | 0.117954i | ||||
\(730\) | −18.6856 | − | 19.2893i | −0.691584 | − | 0.713929i | ||||
\(731\) | 77.9775 | + | 18.9171i | 2.88410 | + | 0.699676i | ||||
\(732\) | 4.19992 | + | 11.5414i | 0.155234 | + | 0.426583i | ||||
\(733\) | 0.785105 | + | 1.96110i | 0.0289985 | + | 0.0724348i | 0.942160 | − | 0.335162i | \(-0.108791\pi\) |
−0.913162 | + | 0.407597i | \(0.866367\pi\) | |||||||
\(734\) | −41.7354 | + | 33.3582i | −1.54048 | + | 1.23127i | ||||
\(735\) | 33.1519 | − | 6.38951i | 1.22283 | − | 0.235681i | ||||
\(736\) | −11.0561 | + | 11.4091i | −0.407532 | + | 0.420545i | ||||
\(737\) | −1.43581 | − | 12.7000i | −0.0528888 | − | 0.467811i | ||||
\(738\) | 4.98403 | + | 2.51979i | 0.183465 | + | 0.0927549i | ||||
\(739\) | 3.46439 | + | 17.9750i | 0.127440 | + | 0.661220i | 0.988318 | + | 0.152408i | \(0.0487028\pi\) |
−0.860878 | + | 0.508811i | \(0.830085\pi\) | |||||||
\(740\) | 1.86998 | − | 0.391158i | 0.0687417 | − | 0.0143792i | ||||
\(741\) | −4.13485 | − | 10.3283i | −0.151897 | − | 0.379421i | ||||
\(742\) | −31.8981 | + | 33.9875i | −1.17101 | + | 1.24772i | ||||
\(743\) | −1.06361 | + | 4.38428i | −0.0390202 | + | 0.160844i | −0.987988 | − | 0.154529i | \(-0.950614\pi\) |
0.948968 | + | 0.315372i | \(0.102129\pi\) | |||||||
\(744\) | 2.91411 | − | 17.3198i | 0.106837 | − | 0.634975i | ||||
\(745\) | 38.8252 | − | 24.9514i | 1.42244 | − | 0.914149i | ||||
\(746\) | −14.1882 | + | 3.56097i | −0.519467 | + | 0.130376i | ||||
\(747\) | −2.48507 | + | 26.0249i | −0.0909241 | + | 0.952200i | ||||
\(748\) | 16.8637 | + | 14.1521i | 0.616599 | + | 0.517452i | ||||
\(749\) | 71.2834 | + | 3.39564i | 2.60464 | + | 0.124074i | ||||
\(750\) | 13.3343 | − | 0.105377i | 0.486901 | − | 0.00384783i | ||||
\(751\) | 2.61391 | − | 18.1801i | 0.0953828 | − | 0.663402i | −0.884897 | − | 0.465787i | \(-0.845771\pi\) |
0.980280 | − | 0.197615i | \(-0.0633196\pi\) | |||||||
\(752\) | −0.634771 | − | 1.02334i | −0.0231477 | − | 0.0373173i | ||||
\(753\) | −1.10236 | + | 1.05110i | −0.0401723 | + | 0.0383042i | ||||
\(754\) | 18.7236 | + | 21.2662i | 0.681872 | + | 0.774470i | ||||
\(755\) | −3.05968 | + | 3.89070i | −0.111353 | + | 0.141597i | ||||
\(756\) | −36.7282 | − | 25.2889i | −1.33579 | − | 0.919747i | ||||
\(757\) | −4.98225 | − | 52.1765i | −0.181083 | − | 1.89639i | −0.393683 | − | 0.919246i | \(-0.628799\pi\) |
0.212600 | − | 0.977139i | \(-0.431807\pi\) | |||||||
\(758\) | −1.00714 | + | 0.357512i | −0.0365811 | + | 0.0129854i | ||||
\(759\) | 1.59053 | + | 3.48278i | 0.0577327 | + | 0.126417i | ||||
\(760\) | 15.2929 | − | 15.2901i | 0.554732 | − | 0.554629i | ||||
\(761\) | 0.541533 | + | 3.76644i | 0.0196305 | + | 0.136533i | 0.997280 | − | 0.0737093i | \(-0.0234837\pi\) |
−0.977649 | + | 0.210243i | \(0.932575\pi\) | |||||||
\(762\) | 7.58918 | − | 4.46195i | 0.274927 | − | 0.161639i | ||||
\(763\) | −33.4377 | − | 42.5195i | −1.21053 | − | 1.53931i | ||||
\(764\) | 16.2130 | + | 12.3404i | 0.586566 | + | 0.446459i | ||||
\(765\) | −36.3305 | + | 1.73064i | −1.31353 | + | 0.0625713i | ||||
\(766\) | −1.83622 | − | 33.0495i | −0.0663452 | − | 1.19413i | ||||
\(767\) | 1.63792 | − | 2.83697i | 0.0591420 | − | 0.102437i | ||||
\(768\) | −12.3152 | + | 6.59440i | −0.444385 | + | 0.237955i | ||||
\(769\) | −25.7445 | + | 36.1531i | −0.928370 | + | 1.30371i | 0.0243000 | + | 0.999705i | \(0.492264\pi\) |
−0.952670 | + | 0.304008i | \(0.901675\pi\) | |||||||
\(770\) | 19.6332 | + | 15.1902i | 0.707531 | + | 0.547415i | ||||
\(771\) | 4.48626 | − | 23.2769i | 0.161569 | − | 0.838298i | ||||
\(772\) | −2.03939 | + | 0.0322354i | −0.0733993 | + | 0.00116018i | ||||
\(773\) | 3.82059 | − | 7.41092i | 0.137417 | − | 0.266552i | −0.810078 | − | 0.586322i | \(-0.800575\pi\) |
0.947495 | + | 0.319770i | \(0.103606\pi\) | |||||||
\(774\) | −19.7124 | − | 30.1466i | −0.708547 | − | 1.08360i | ||||
\(775\) | −1.12390 | − | 1.94665i | −0.0403716 | − | 0.0699257i | ||||
\(776\) | −8.03933 | + | 1.74807i | −0.288595 | + | 0.0627522i | ||||
\(777\) | −1.69217 | + | 0.496866i | −0.0607062 | + | 0.0178250i | ||||
\(778\) | 3.30165 | + | 16.4308i | 0.118370 | + | 0.589073i | ||||
\(779\) | 3.16391 | − | 4.92314i | 0.113359 | − | 0.176390i | ||||
\(780\) | 10.8516 | + | 11.0265i | 0.388551 | + | 0.394814i | ||||
\(781\) | −1.64256 | + | 1.16966i | −0.0587756 | + | 0.0418539i | ||||
\(782\) | 1.11123 | − | 27.9778i | 0.0397375 | − | 1.00048i | ||||
\(783\) | −17.2566 | − | 16.4542i | −0.616701 | − | 0.588023i | ||||
\(784\) | 13.7477 | − | 65.6621i | 0.490990 | − | 2.34508i | ||||
\(785\) | −8.62567 | − | 24.9222i | −0.307863 | − | 0.889512i | ||||
\(786\) | −10.5925 | − | 22.7175i | −0.377822 | − | 0.810308i | ||||
\(787\) | 4.09257 | − | 10.2227i | 0.145884 | − | 0.364401i | −0.837371 | − | 0.546635i | \(-0.815909\pi\) |
0.983255 | + | 0.182234i | \(0.0583327\pi\) | |||||||
\(788\) | −3.00932 | + | 17.0606i | −0.107203 | + | 0.607758i | ||||
\(789\) | −4.27360 | − | 3.70310i | −0.152144 | − | 0.131834i | ||||
\(790\) | −36.0968 | − | 25.2769i | −1.28427 | − | 0.899313i | ||||
\(791\) | 6.51093 | − | 3.35662i | 0.231502 | − | 0.119348i | ||||
\(792\) | −1.17235 | − | 9.81281i | −0.0416575 | − | 0.348683i | ||||
\(793\) | −6.37177 | − | 26.2648i | −0.226268 | − | 0.932691i | ||||
\(794\) | 0.591041 | − | 0.935857i | 0.0209753 | − | 0.0332123i | ||||
\(795\) | −10.2846 | + | 8.91164i | −0.364756 | + | 0.316063i | ||||
\(796\) | 20.9145 | + | 7.99173i | 0.741293 | + | 0.283259i | ||||
\(797\) | 45.9586 | + | 15.9064i | 1.62794 | + | 0.563435i | 0.980128 | − | 0.198367i | \(-0.0635638\pi\) |
0.647810 | + | 0.761802i | \(0.275685\pi\) | |||||||
\(798\) | −12.9535 | + | 15.1901i | −0.458550 | + | 0.537722i | ||||
\(799\) | 2.03637 | + | 0.597932i | 0.0720415 | + | 0.0211533i | ||||
\(800\) | −0.677885 | + | 1.65437i | −0.0239668 | + | 0.0584908i | ||||
\(801\) | 7.66280 | − | 16.7792i | 0.270752 | − | 0.592863i | ||||
\(802\) | −27.3595 | − | 7.79915i | −0.966096 | − | 0.275398i | ||||
\(803\) | 12.8603i | 0.453830i | ||||||||
\(804\) | −12.7974 | + | 6.36572i | −0.451331 | + | 0.224501i | ||||
\(805\) | − | 31.5716i | − | 1.11275i | ||||||
\(806\) | −10.5952 | + | 37.1679i | −0.373199 | + | 1.30918i | ||||
\(807\) | 6.97502 | − | 15.2732i | 0.245532 | − | 0.537641i | ||||
\(808\) | −14.0538 | + | 8.56447i | −0.494412 | + | 0.301297i | ||||
\(809\) | 15.6241 | + | 4.58765i | 0.549314 | + | 0.161293i | 0.544600 | − | 0.838696i | \(-0.316681\pi\) |
0.00471370 | + | 0.999989i | \(0.498500\pi\) | |||||||
\(810\) | 6.74947 | + | 5.75569i | 0.237152 | + | 0.202234i | ||||
\(811\) | −13.1695 | − | 4.55802i | −0.462445 | − | 0.160054i | 0.0859037 | − | 0.996303i | \(-0.472622\pi\) |
−0.548349 | + | 0.836250i | \(0.684743\pi\) | |||||||
\(812\) | 18.1481 | − | 47.4937i | 0.636873 | − | 1.66670i | ||||
\(813\) | −12.8984 | + | 11.1765i | −0.452366 | + | 0.391978i | ||||
\(814\) | −0.773506 | − | 0.488508i | −0.0271114 | − | 0.0171222i | ||||
\(815\) | −7.35407 | − | 30.3139i | −0.257602 | − | 1.06185i | ||||
\(816\) | 8.42344 | − | 23.1343i | 0.294879 | − | 0.809864i | ||||
\(817\) | −33.5480 | + | 17.2952i | −1.17369 | + | 0.605082i | ||||
\(818\) | −8.30154 | + | 11.8551i | −0.290257 | + | 0.414502i | ||||
\(819\) | 31.6832 | + | 27.4537i | 1.10710 | + | 0.959309i | ||||
\(820\) | −1.41363 | + | 8.01423i | −0.0493662 | + | 0.279869i | ||||
\(821\) | −3.98897 | + | 9.96395i | −0.139216 | + | 0.347744i | −0.981548 | − | 0.191214i | \(-0.938758\pi\) |
0.842333 | + | 0.538958i | \(0.181182\pi\) | |||||||
\(822\) | −17.6881 | + | 8.24743i | −0.616943 | + | 0.287662i | ||||
\(823\) | 13.4548 | + | 38.8752i | 0.469006 | + | 1.35510i | 0.893251 | + | 0.449558i | \(0.148418\pi\) |
−0.424245 | + | 0.905547i | \(0.639460\pi\) | |||||||
\(824\) | −3.70711 | − | 13.8402i | −0.129143 | − | 0.482147i | ||||
\(825\) | 0.311836 | + | 0.297335i | 0.0108568 | + | 0.0103519i | ||||
\(826\) | −5.87357 | − | 0.233288i | −0.204368 | − | 0.00811712i | ||||
\(827\) | −22.3696 | + | 15.9293i | −0.777867 | + | 0.553917i | −0.898600 | − | 0.438768i | \(-0.855415\pi\) |
0.120733 | + | 0.992685i | \(0.461475\pi\) | |||||||
\(828\) | −8.95848 | + | 8.81637i | −0.311329 | + | 0.306390i | ||||
\(829\) | −22.8394 | + | 35.5388i | −0.793244 | + | 1.23431i | 0.175064 | + | 0.984557i | \(0.443987\pi\) |
−0.968309 | + | 0.249756i | \(0.919650\pi\) | |||||||
\(830\) | −37.3484 | + | 7.50490i | −1.29638 | + | 0.260499i | ||||
\(831\) | 25.0057 | − | 7.34234i | 0.867439 | − | 0.254703i | ||||
\(832\) | 28.5407 | − | 11.4199i | 0.989470 | − | 0.395912i | ||||
\(833\) | 59.1165 | + | 102.393i | 2.04827 | + | 3.54770i | ||||
\(834\) | 9.79960 | − | 6.40781i | 0.339332 | − | 0.221884i | ||||
\(835\) | −7.28455 | + | 14.1300i | −0.252092 | + | 0.488990i | ||||
\(836\) | −10.3544 | + | 0.163666i | −0.358115 | + | 0.00566050i | ||||
\(837\) | 6.15516 | − | 31.9360i | 0.212753 | − | 1.10387i | ||||
\(838\) | 6.72749 | − | 8.69524i | 0.232397 | − | 0.300372i | ||||
\(839\) | 9.85596 | − | 13.8408i | 0.340265 | − | 0.477836i | −0.608618 | − | 0.793464i | \(-0.708276\pi\) |
0.948883 | + | 0.315628i | \(0.102215\pi\) | |||||||
\(840\) | 8.45521 | − | 26.4418i | 0.291732 | − | 0.912328i | ||||
\(841\) | −0.906989 | + | 1.57095i | −0.0312755 | + | 0.0541707i | ||||
\(842\) | −50.3806 | + | 2.79912i | −1.73623 | + | 0.0964641i | ||||
\(843\) | −24.3735 | + | 1.16105i | −0.839469 | + | 0.0399888i | ||||
\(844\) | −19.5077 | + | 25.6295i | −0.671482 | + | 0.882204i | ||||
\(845\) | −2.51611 | − | 3.19950i | −0.0865568 | − | 0.110066i | ||||
\(846\) | −0.482863 | − | 0.821286i | −0.0166012 | − | 0.0282364i | ||||
\(847\) | 5.94086 | + | 41.3196i | 0.204130 | + | 1.41976i | ||||
\(848\) | 8.43430 | + | 25.6912i | 0.289635 | + | 0.882239i | ||||
\(849\) | −0.331640 | − | 0.726191i | −0.0113819 | − | 0.0249228i | ||||
\(850\) | −1.05408 | − | 2.96942i | −0.0361545 | − | 0.101850i | ||||
\(851\) | 0.110602 | + | 1.15828i | 0.00379140 | + | 0.0397053i | ||||
\(852\) | 1.85737 | + | 1.27887i | 0.0636324 | + | 0.0438135i | ||||
\(853\) | 23.3004 | − | 29.6289i | 0.797792 | − | 1.01448i | −0.201595 | − | 0.979469i | \(-0.564612\pi\) |
0.999387 | − | 0.0350061i | \(-0.0111451\pi\) | |||||||
\(854\) | −36.3993 | + | 32.0473i | −1.24556 | + | 1.09664i | ||||
\(855\) | 12.3823 | − | 11.8065i | 0.423465 | − | 0.403773i | ||||
\(856\) | 21.5505 | − | 35.3485i | 0.736580 | − | 1.20819i | ||||
\(857\) | −6.94014 | + | 48.2698i | −0.237071 | + | 1.64886i | 0.429241 | + | 0.903190i | \(0.358781\pi\) |
−0.666311 | + | 0.745674i | \(0.732128\pi\) | |||||||
\(858\) | −0.0585446 | − | 7.40817i | −0.00199868 | − | 0.252911i | ||||
\(859\) | −40.7727 | − | 1.94224i | −1.39115 | − | 0.0662685i | −0.661424 | − | 0.750012i | \(-0.730048\pi\) |
−0.729722 | + | 0.683744i | \(0.760351\pi\) | |||||||
\(860\) | 33.7399 | − | 40.2046i | 1.15052 | − | 1.37097i | ||||
\(861\) | 0.714104 | − | 7.47844i | 0.0243366 | − | 0.254864i | ||||
\(862\) | 6.58205 | + | 26.2253i | 0.224186 | + | 0.893237i | ||||
\(863\) | 38.2714 | − | 24.5955i | 1.30277 | − | 0.837241i | 0.309262 | − | 0.950977i | \(-0.399918\pi\) |
0.993511 | + | 0.113736i | \(0.0362818\pi\) | |||||||
\(864\) | −23.0884 | + | 11.6675i | −0.785482 | + | 0.396936i | ||||
\(865\) | −3.30866 | + | 13.6385i | −0.112498 | + | 0.463722i | ||||
\(866\) | −22.0056 | − | 20.6528i | −0.747781 | − | 0.701810i | ||||
\(867\) | 10.6103 | + | 26.5032i | 0.360345 | + | 0.900097i | ||||
\(868\) | 67.8821 | − | 14.1994i | 2.30407 | − | 0.481960i | ||||
\(869\) | 3.99363 | + | 20.7209i | 0.135474 | + | 0.702908i | ||||
\(870\) | 6.69736 | − | 13.2471i | 0.227062 | − | 0.449117i | ||||
\(871\) | 29.5397 | − | 10.8022i | 1.00091 | − | 0.366017i | ||||
\(872\) | −30.9460 | + | 5.20089i | −1.04796 | + | 0.176124i | ||||
\(873\) | −6.39128 | + | 1.23182i | −0.216312 | + | 0.0416908i | ||||
\(874\) | 8.22323 | + | 10.2883i | 0.278155 | + | 0.348008i | ||||
\(875\) | 19.5697 | + | 48.8826i | 0.661575 | + | 1.65254i | ||||
\(876\) | 13.5150 | − | 4.91811i | 0.456629 | − | 0.166167i | ||||
\(877\) | −19.5282 | − | 4.73749i | −0.659420 | − | 0.159974i | −0.107935 | − | 0.994158i | \(-0.534424\pi\) |
−0.551486 | + | 0.834184i | \(0.685939\pi\) | |||||||
\(878\) | −6.65772 | + | 6.44934i | −0.224687 | + | 0.217655i | ||||
\(879\) | −15.5297 | + | 9.98033i | −0.523804 | + | 0.336628i | ||||
\(880\) | 13.1932 | − | 5.77199i | 0.444742 | − | 0.194574i | ||||
\(881\) | −10.5188 | − | 1.00443i | −0.354389 | − | 0.0338400i | −0.0836563 | − | 0.996495i | \(-0.526660\pi\) |
−0.270732 | + | 0.962655i | \(0.587266\pi\) | |||||||
\(882\) | 12.1048 | − | 51.6759i | 0.407591 | − | 1.74002i | ||||
\(883\) | 50.5268 | + | 2.40689i | 1.70036 | + | 0.0809982i | 0.875158 | − | 0.483837i | \(-0.160757\pi\) |
0.825204 | + | 0.564835i | \(0.191060\pi\) | |||||||
\(884\) | −24.0615 | + | 48.5413i | −0.809274 | + | 1.63262i | ||||
\(885\) | −1.69870 | − | 0.244236i | −0.0571011 | − | 0.00820990i | ||||
\(886\) | −14.0991 | − | 34.4269i | −0.473670 | − | 1.15659i | ||||
\(887\) | −18.0840 | + | 17.2430i | −0.607200 | + | 0.578964i | −0.930026 | − | 0.367494i | \(-0.880216\pi\) |
0.322826 | + | 0.946458i | \(0.395367\pi\) | |||||||
\(888\) | −0.217568 | + | 0.999701i | −0.00730112 | + | 0.0335478i | ||||
\(889\) | 27.3253 | + | 21.4889i | 0.916462 | + | 0.720713i | ||||
\(890\) | 26.6348 | + | 3.61491i | 0.892801 | + | 0.121172i | ||||
\(891\) | −0.403771 | − | 4.22849i | −0.0135269 | − | 0.141660i | ||||
\(892\) | −0.388903 | + | 3.04588i | −0.0130214 | + | 0.101984i | ||||
\(893\) | −0.908109 | + | 0.414719i | −0.0303887 | + | 0.0138781i | ||||
\(894\) | 3.71060 | + | 24.4354i | 0.124101 | + | 0.817242i | ||||
\(895\) | 4.36905 | + | 30.3874i | 0.146041 | + | 1.01574i | ||||
\(896\) | −41.9655 | − | 35.8000i | −1.40197 | − | 1.19599i | ||||
\(897\) | −7.40646 | + | 5.82450i | −0.247294 | + | 0.194475i | ||||
\(898\) | 15.7981 | + | 2.91555i | 0.527191 | + | 0.0972932i | ||||
\(899\) | 37.0405 | − | 1.76446i | 1.23537 | − | 0.0588480i | ||||
\(900\) | −0.567182 | + | 1.29577i | −0.0189061 | + | 0.0431923i | ||||
\(901\) | −41.2714 | − | 23.8280i | −1.37495 | − | 0.793827i | ||||
\(902\) | 3.15644 | − | 2.28549i | 0.105098 | − | 0.0760986i | ||||
\(903\) | −28.1049 | + | 39.4678i | −0.935271 | + | 1.31340i | ||||
\(904\) | 0.101521 | − | 4.24829i | 0.00337653 | − | 0.141296i | ||||
\(905\) | −11.2591 | − | 2.17001i | −0.374264 | − | 0.0721334i | ||||
\(906\) | −1.23320 | − | 2.34636i | −0.0409703 | − | 0.0779525i | ||||
\(907\) | 5.19873 | − | 10.0841i | 0.172621 | − | 0.334838i | −0.786615 | − | 0.617444i | \(-0.788168\pi\) |
0.959236 | + | 0.282605i | \(0.0911987\pi\) | |||||||
\(908\) | −2.95291 | − | 26.4922i | −0.0979956 | − | 0.879176i | ||||
\(909\) | −11.2761 | + | 6.51027i | −0.374005 | + | 0.215932i | ||||
\(910\) | −24.9372 | + | 55.7669i | −0.826659 | + | 1.84865i | ||||
\(911\) | 16.3153 | − | 4.79061i | 0.540551 | − | 0.158720i | −4.89523e−5 | − | 1.00000i | \(-0.500016\pi\) |
0.540600 | + | 0.841280i | \(0.318197\pi\) | |||||||
\(912\) | 4.13179 | + | 10.8189i | 0.136817 | + | 0.358251i | ||||
\(913\) | 15.3465 | + | 9.86259i | 0.507895 | + | 0.326404i | ||||
\(914\) | 15.8257 | − | 46.9217i | 0.523467 | − | 1.55203i | ||||
\(915\) | −11.5335 | + | 8.21294i | −0.381284 | + | 0.271511i | ||||
\(916\) | −29.7373 | − | 16.5478i | −0.982549 | − | 0.546755i | ||||
\(917\) | 68.3011 | − | 71.6322i | 2.25550 | − | 2.36550i | ||||
\(918\) | 16.6097 | − | 42.4585i | 0.548203 | − | 1.40134i | ||||
\(919\) | −1.26578 | − | 3.65723i | −0.0417542 | − | 0.120641i | 0.922197 | − | 0.386721i | \(-0.126393\pi\) |
−0.963951 | + | 0.266081i | \(0.914271\pi\) | |||||||
\(920\) | −16.0741 | − | 8.77905i | −0.529948 | − | 0.289437i | ||||
\(921\) | −10.6375 | − | 4.25863i | −0.350519 | − | 0.140327i | ||||
\(922\) | 8.50282 | + | 28.1336i | 0.280026 | + | 0.926530i | ||||
\(923\) | −3.75031 | − | 3.24966i | −0.123443 | − | 0.106964i | ||||
\(924\) | −11.7182 | + | 6.27750i | −0.385499 | + | 0.206515i | ||||
\(925\) | 0.0600000 | + | 0.116384i | 0.00197279 | + | 0.00382668i | ||||
\(926\) | 13.3594 | − | 23.5674i | 0.439018 | − | 0.774472i | ||||
\(927\) | −2.67247 | − | 11.0161i | −0.0877755 | − | 0.361816i | ||||
\(928\) | −19.1342 | − | 22.4463i | −0.628111 | − | 0.736835i | ||||
\(929\) | −23.6644 | − | 27.3102i | −0.776403 | − | 0.896017i | 0.220441 | − | 0.975400i | \(-0.429250\pi\) |
−0.996844 | + | 0.0793830i | \(0.974705\pi\) | |||||||
\(930\) | 20.1399 | − | 2.08386i | 0.660413 | − | 0.0683324i | ||||
\(931\) | −52.5567 | − | 18.1901i | −1.72248 | − | 0.596155i | ||||
\(932\) | 48.0799 | − | 20.1357i | 1.57491 | − | 0.659566i | ||||
\(933\) | −1.05480 | + | 3.59232i | −0.0345326 | + | 0.117607i | ||||
\(934\) | −1.29260 | + | 14.7693i | −0.0422953 | + | 0.483266i | ||||
\(935\) | −10.5431 | + | 23.0862i | −0.344797 | + | 0.754999i | ||||
\(936\) | 22.7877 | − | 8.49697i | 0.744838 | − | 0.277732i | ||||
\(937\) | −7.65139 | −0.249960 | −0.124980 | − | 0.992159i | \(-0.539887\pi\) | ||||
−0.124980 | + | 0.992159i | \(0.539887\pi\) | |||||||
\(938\) | −41.8184 | − | 37.9025i | −1.36542 | − | 1.23756i | ||||
\(939\) | − | 13.4523i | − | 0.438998i | ||||||
\(940\) | 0.942012 | − | 1.01975i | 0.0307250 | − | 0.0332605i | ||||
\(941\) | −42.9221 | − | 19.6019i | −1.39922 | − | 0.639003i | −0.434115 | − | 0.900858i | \(-0.642939\pi\) |
−0.965107 | + | 0.261854i | \(0.915666\pi\) | |||||||
\(942\) | 14.0696 | + | 1.23137i | 0.458412 | + | 0.0401201i | ||||
\(943\) | −4.75560 | − | 1.39637i | −0.154864 | − | 0.0454721i | ||||
\(944\) | −1.75203 | + | 2.92556i | −0.0570237 | + | 0.0952187i | ||||
\(945\) | 16.8137 | − | 48.5801i | 0.546951 | − | 1.58031i | ||||
\(946\) | −25.0004 | + | 2.58677i | −0.812832 | + | 0.0841031i | ||||
\(947\) | −13.2861 | + | 11.5125i | −0.431741 | + | 0.374105i | −0.843448 | − | 0.537211i | \(-0.819478\pi\) |
0.411707 | + | 0.911316i | \(0.364933\pi\) | |||||||
\(948\) | 20.2485 | − | 12.1211i | 0.657640 | − | 0.393676i | ||||
\(949\) | −30.7561 | + | 7.46134i | −0.998384 | + | 0.242205i | ||||
\(950\) | 1.28942 | + | 0.730923i | 0.0418343 | + | 0.0237143i | ||||
\(951\) | −14.8150 | + | 7.63765i | −0.480409 | + | 0.247668i | ||||
\(952\) | 97.1893 | − | 2.30456i | 3.14992 | − | 0.0746912i | ||||
\(953\) | −28.8084 | + | 33.2467i | −0.933196 | + | 1.07697i | 0.0636785 | + | 0.997970i | \(0.479717\pi\) |
−0.996875 | + | 0.0789956i | \(0.974829\pi\) | |||||||
\(954\) | 6.18906 | + | 20.4779i | 0.200378 | + | 0.662998i | ||||
\(955\) | −8.72999 | + | 21.8065i | −0.282496 | + | 0.705641i | ||||
\(956\) | −0.896088 | + | 28.1740i | −0.0289815 | + | 0.911211i | ||||
\(957\) | −6.71727 | + | 2.32487i | −0.217138 | + | 0.0751523i | ||||
\(958\) | −0.0198211 | − | 0.00775400i | −0.000640390 | − | 0.000250520i | ||||
\(959\) | −55.7735 | − | 53.1799i | −1.80102 | − | 1.71727i | ||||
\(960\) | −11.1112 | − | 11.6574i | −0.358614 | − | 0.376242i | ||||
\(961\) | 11.3585 | + | 15.9507i | 0.366402 | + | 0.514540i | ||||
\(962\) | 0.719517 | − | 2.13330i | 0.0231982 | − | 0.0687805i | ||||
\(963\) | 17.7077 | − | 27.5538i | 0.570624 | − | 0.887908i | ||||
\(964\) | 0.497070 | + | 0.137458i | 0.0160095 | + | 0.00442722i | ||||
\(965\) | −0.662455 | − | 2.25612i | −0.0213252 | − | 0.0726269i | ||||
\(966\) | 15.4346 | + | 6.90188i | 0.496601 | + | 0.222064i | ||||
\(967\) | −11.2729 | − | 19.5253i | −0.362513 | − | 0.627891i | 0.625860 | − | 0.779935i | \(-0.284748\pi\) |
−0.988374 | + | 0.152044i | \(0.951415\pi\) | |||||||
\(968\) | 22.6891 | + | 8.46498i | 0.729255 | + | 0.272075i | ||||
\(969\) | −18.1417 | − | 9.35268i | −0.582795 | − | 0.300452i | ||||
\(970\) | −4.41255 | − | 8.39559i | −0.141678 | − | 0.269566i | ||||
\(971\) | 2.67408 | − | 13.8744i | 0.0858153 | − | 0.445252i | −0.913451 | − | 0.406949i | \(-0.866593\pi\) |
0.999266 | − | 0.0383030i | \(-0.0121952\pi\) | |||||||
\(972\) | −29.0647 | + | 13.8327i | −0.932251 | + | 0.443683i | ||||
\(973\) | 37.6606 | + | 26.8180i | 1.20734 | + | 0.859746i | ||||
\(974\) | −31.1137 | − | 42.9703i | −0.996946 | − | 1.37686i | ||||
\(975\) | −0.530171 | + | 0.918283i | −0.0169791 | + | 0.0294086i | ||||
\(976\) | 6.19482 | + | 27.4434i | 0.198291 | + | 0.878442i | ||||
\(977\) | 0.833793 | + | 17.5035i | 0.0266754 | + | 0.559986i | 0.972160 | + | 0.234318i | \(0.0752858\pi\) |
−0.945484 | + | 0.325667i | \(0.894411\pi\) | |||||||
\(978\) | 16.4275 | + | 3.03169i | 0.525292 | + | 0.0969429i | ||||
\(979\) | −7.95661 | − | 10.1176i | −0.254294 | − | 0.323361i | ||||
\(980\) | 77.1831 | − | 4.90036i | 2.46552 | − | 0.156536i | ||||
\(981\) | −24.5735 | + | 3.53313i | −0.784571 | + | 0.112804i | ||||
\(982\) | −29.0008 | + | 4.40387i | −0.925451 | + | 0.140533i | ||||
\(983\) | −0.624162 | − | 1.36672i | −0.0199077 | − | 0.0435917i | 0.899417 | − | 0.437092i | \(-0.143991\pi\) |
−0.919325 | + | 0.393500i | \(0.871264\pi\) | |||||||
\(984\) | −3.60895 | − | 2.44309i | −0.115049 | − | 0.0778829i | ||||
\(985\) | −19.8811 | + | 1.89842i | −0.633465 | + | 0.0604886i | ||||
\(986\) | 51.5100 | + | 6.99101i | 1.64041 | + | 0.222639i | ||||
\(987\) | −0.792206 | + | 1.00737i | −0.0252162 | + | 0.0320650i | ||||
\(988\) | −6.39888 | − | 24.6681i | −0.203575 | − | 0.784798i | ||||
\(989\) | 22.0593 | + | 23.1351i | 0.701445 | + | 0.735654i | ||||
\(990\) | 10.5430 | − | 4.31778i | 0.335080 | − | 0.137228i | ||||
\(991\) | −3.51352 | + | 24.4371i | −0.111611 | + | 0.776269i | 0.854743 | + | 0.519051i | \(0.173715\pi\) |
−0.966354 | + | 0.257217i | \(0.917194\pi\) | |||||||
\(992\) | 11.6465 | − | 38.5094i | 0.369776 | − | 1.22267i | ||||
\(993\) | 0.680326 | − | 14.2818i | 0.0215895 | − | 0.453220i | ||||
\(994\) | −2.03087 | + | 8.66982i | −0.0644152 | + | 0.274990i | ||||
\(995\) | −2.45350 | + | 25.6942i | −0.0777811 | + | 0.814561i | ||||
\(996\) | 4.49578 | − | 19.8995i | 0.142454 | − | 0.630538i | ||||
\(997\) | −12.5058 | − | 19.4593i | −0.396061 | − | 0.616283i | 0.584757 | − | 0.811209i | \(-0.301190\pi\) |
−0.980818 | + | 0.194925i | \(0.937554\pi\) | |||||||
\(998\) | −14.6816 | − | 15.1559i | −0.464737 | − | 0.479753i | ||||
\(999\) | −0.446666 | + | 1.84118i | −0.0141319 | + | 0.0582524i |
(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 | 536.2.bf.a.21.7 | ✓ | 1320 | |
8.5 | even | 2 | inner | 536.2.bf.a.21.14 | yes | 1320 | |
67.16 | even | 33 | inner | 536.2.bf.a.485.14 | yes | 1320 | |
536.485 | even | 66 | inner | 536.2.bf.a.485.7 | yes | 1320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
536.2.bf.a.21.7 | ✓ | 1320 | 1.1 | even | 1 | trivial | |
536.2.bf.a.21.14 | yes | 1320 | 8.5 | even | 2 | inner | |
536.2.bf.a.485.7 | yes | 1320 | 536.485 | even | 66 | inner | |
536.2.bf.a.485.14 | yes | 1320 | 67.16 | even | 33 | inner |